Finite Group Databasebeta

← #28292718

Subgroups — #28292718

Order 13568.

8042 conjugacy classes of subgroups.

The subgroup lattice has 2926 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#20289033C212yesmaximal, complemented
2#20289029C212yesmaximal, complemented
3#20289021C212yesmaximal, complemented
4#20289019C212yesmaximal, complemented
5#20288948C212yesmaximal, complemented
6#20288946C212yesmaximal, complemented
7#20288933C212yesmaximal, complemented
8#20288931C212yesmaximal, complemented
9#20288897C214yesmaximal, complemented
10#20288893C214yesmaximal, complemented
11#20288746C212yesmaximal, complemented
12#20288744C212yesmaximal, complemented
13#20288741C212yesmaximal, complemented
14#20288735C212yesmaximal, complemented
15#20288551C212yesmaximal, complemented
16#20288543C212yesmaximal, complemented
17#20288472C212yesmaximal, complemented
18#20288471C212yesmaximal, complemented
19#20288452C211yesmaximal, characteristic, complemented
20#20288451C211yesmaximal, characteristic, complemented
21#20288447C211yesmaximal, characteristic, complemented
22#20288444C211yesmaximal, characteristic, complemented
23#20288422C211yesmaximal, characteristic, complemented
24#20288418C211yesmaximal, characteristic, complemented
25#20288397C214yesmaximal, complemented
26#20288384C211yesmaximal, characteristic, complemented
27#20288379C211yesmaximal, characteristic, complemented
28#20288377C211yesmaximal, characteristic, complemented
29#20288349C211yesmaximal, characteristic, complemented
30#20288346C211yesmaximal, characteristic, complemented
31#20288343C214yesmaximal, complemented
32C2×#16811130C211yesmaximal, characteristic, complemented
33#525×D53C211yesmaximal, characteristic, complemented
34C2×#121×D53C211yesmaximal, characteristic, complemented
35C53×#3488C211yesmaximal, characteristic, complemented
36C2×#13133263C2211yescharacteristic, complemented
37C2×#13133262C2214yescomplemented
38C2×#41×D53C2211yescharacteristic, complemented
39C22×D4×D53C2212yescomplemented
40C22×D4×D53C2211yescharacteristic, complemented
41C23×C4×D53C2211yescharacteristic, complemented
42#16811369C2214yescomplemented
43#16811368C2214yescomplemented
44#16811368C2214yescomplemented
45#16811367C2214yescomplemented
46#16811362C2214yescomplemented
47#16811362C2214yescomplemented
48#16811361C2214yescomplemented
49#16811360C2214yescomplemented
50#16811338C2212yescomplemented
51#16811337C2212yescomplemented
52#16811337C2212yescomplemented
53#16811336C2212yescomplemented
54#16811333C2212yescomplemented
55#16811331C2212yescomplemented
56#16811331C2212yescomplemented
57#16811328C2212yescomplemented
58#16811325C2212yescomplemented
59#16811325C2212yescomplemented
60#16811323C2212yescomplemented
61#16811323C2214yescomplemented
62#16811322C2214yescomplemented
63#16811321C2212yescomplemented
64#16811320C2212yescomplemented
65#16811320C2212yescomplemented
66#16811320C2212yescomplemented
67#16811320C2212yescomplemented
68#16811319C2212yescomplemented
69#16811319C2212yescomplemented
70#16811318C2214yescomplemented
71#16811317C2212yescomplemented
72#16811317C2212yescomplemented
73#16811316C2214yescomplemented
74#16811314C2212yescomplemented
75#16811312C2212yescomplemented
76#16811307C2212yescomplemented
77#16811307C2212yescomplemented
78#16811304C2214yescomplemented
79#16811303C2214yescomplemented
80#16811302C2214yescomplemented
81#16811302C2214yescomplemented
82#16811301C2214yescomplemented
83#16811300C2214yescomplemented
84#16811299C2214yescomplemented
85#16811296C2214yescomplemented
86#16811292C2212yescomplemented
87#16811292C2212yescomplemented
88#16811291C2212yescomplemented
89#16811284C2212yescomplemented
90#16811283C2212yescomplemented
91#16811280C2212yescomplemented
92#16811278C2212yescomplemented
93#16811277C2212yescomplemented
94#16811274C2212yescomplemented
95#16811274C2212yescomplemented
96#16811273C2212yescomplemented
97#16811273C2212yescomplemented
98#16811273C2212yescomplemented
99#16811273C2212yescomplemented
100#16811270C2212yescomplemented
101#16811270C2214yescomplemented
102#16811270C2212yescomplemented
103#16811270C2214yescomplemented
104#16811269C2214yescomplemented
105#16811268C2214yescomplemented
106#16811267C2214yescomplemented
107#16811267C2214yescomplemented
108#16811267C2212yescomplemented
109#16811267C2214yescomplemented
110#16811266C2212yescomplemented
111#16811266C2212yescomplemented
112#16811264C2212yescomplemented
113#16811263C2214yescomplemented
114#16811263C2214yescomplemented
115#16811262C2214yescomplemented
116#16811262C2214yescomplemented
117#16811262C2214yescomplemented
118#16811262C2214yescomplemented
119#16811262C2214yescomplemented
120#16811261C2214yescomplemented
121#16811261C2212yescomplemented
122#16811261C2212yescomplemented
123#16811261C2212yescomplemented
124#16811261C2212yescomplemented
125#16811261C2212yescomplemented
126#16811260C2214yescomplemented
127#16811260C2214yescomplemented
128#16811260C2214yescomplemented
129#16811260C2214yescomplemented
130#16811258C2214yescomplemented
131#16811258C2212yescomplemented
132#16811258C2212yescomplemented
133#16811257C2214yescomplemented
134#16811257C2212yescomplemented
135#16811257C2212yescomplemented
136#16811257C2212yescomplemented
137D4×C22⋊D53C2214yescomplemented
138D4×C22⋊D53C2214yescomplemented
139D4×C22⋊D53C2212yescomplemented
140D4×C22⋊D53C2212yescomplemented
141D4×C22⋊D53C2214yescomplemented
142D4×C22⋊D53C2212yescomplemented
143D4×C22⋊D53C2212yescomplemented
144D4×C22⋊D53C2212yescomplemented
145D4×C22⋊D53C2212yescomplemented
146#16811255C2214yescomplemented
147#16811255C2214yescomplemented
148#16811254C2211yescharacteristic, complemented
149#16811251C2211yescharacteristic, complemented
150#16811248C2214yescomplemented
151#16811246C2212yescomplemented
152#16811245C2212yescomplemented
153#16811242C2212yescomplemented
154#16811240C2212yescomplemented
155#16811227C2212yescomplemented
156#16811227C2214yescomplemented
157#16811226C2212yescomplemented
158#16811226C2212yescomplemented
159#16811225C2214yescomplemented
160#16811224C2212yescomplemented
161#16811223C2214yescomplemented
162#16811223C2214yescomplemented
163#16811219C2214yescomplemented
164#16811218C2214yescomplemented
165#16811215C2214yescomplemented
166#16811215C2214yescomplemented
167#16811211C2214yescomplemented
168#16811209C2214yescomplemented
169#16811208C2214yescomplemented
170#16811208C2214yescomplemented
171#16811207C2214yescomplemented
172#16811207C2214yescomplemented
173#16811206C2214yescomplemented
174#16811205C2214yescomplemented
175#16811205C2214yescomplemented
176#16811205C2214yescomplemented
177#16811203C2212yescomplemented
178#16811202C2214yescomplemented
179#16811201C2211yescharacteristic, complemented
180#16811201C2212yescomplemented
181#16811201C2212yescomplemented
182#16811200C2214yescomplemented
183#16811190C2211yescharacteristic, complemented
184#16811190C2212yescomplemented
185#16811189C2214yescomplemented
186#16811189C2212yescomplemented
187#16811187C2211yescharacteristic, complemented
188#16811187C2211yescharacteristic, complemented
189#16811187C2212yescomplemented
190#16811186C2214yescomplemented
191#16811183C2214yescomplemented
192#16811183C2214yescomplemented
193#16811183C2214yescomplemented
194#16811183C2214yescomplemented
195#16811183C2214yescomplemented
196#16811182C2214yescomplemented
197#16811182C2214yescomplemented
198#16811181C2214yescomplemented
199#16811181C2214yescomplemented
200#16811171C2212yescomplemented
201#16811170C2212yescomplemented
202#16811168C2212yescomplemented
203#16811168C2212yescomplemented
204#16811160C2212yescomplemented
205#16811159C2212yescomplemented
206#16811154C2212yescomplemented
207#16811152C2212yescomplemented
208#16811136C2211yescharacteristic, complemented
209#16811136C2211yescharacteristic, complemented
210#16811136C2212yescomplemented
211#16811135C2211yescharacteristic, complemented
212#16811134C2211yescharacteristic, complemented
213#16811134C2212yescomplemented
214#16811133C2214yescomplemented
215#16811133C2211yescharacteristic, complemented
216#16811133C2211yescharacteristic, complemented
217#16811132C2214yescomplemented
218#16811132C2212yescomplemented
219#16811132C2212yescomplemented
220#16811131C2212yescomplemented
221#16811130C2211yescharacteristic, complemented
222#16811130C2211yescharacteristic, complemented
223#16811130C2211yescharacteristic, complemented
224#16811130C2212yescomplemented
225#16811130C2211yescharacteristic, complemented
226#16811130C2211yescharacteristic, complemented
227#16811130C2212yescomplemented
228#16811130C2211yescharacteristic, complemented
229#16811130C2212yescomplemented
230#16811130C2212yescomplemented
231#16811130C2211yescharacteristic, complemented
232#16811130C2211yescharacteristic, complemented
233#16811130C2211yescharacteristic, complemented
234#16811130C2212yescomplemented
235#16811129C2212yescomplemented
236C2×#13133198C2212yescomplemented
237#123×D53C2212yescomplemented
238C2×#13133193C2211yescharacteristic, complemented
239C2×#13133193C2211yescharacteristic, complemented
240C22⋊Q8×D53C2211yescharacteristic, complemented
241C22⋊Q8×D53C2211yescharacteristic, complemented
242C2×#13133192C2211yescharacteristic, complemented
243C2×#13133191C2211yescharacteristic, complemented
244C2×#13133191C2212yescomplemented
245C2×#13133190C2212yescomplemented
246C2×#13133189C2212yescomplemented
247C2×#13133188C2211yescharacteristic, complemented
248C2×#13133188C2211yescharacteristic, complemented
249C2×#13133188C2211yescharacteristic, complemented
250C2×#13133188C2212yescomplemented
251#121×D53C2212yescomplemented
252#121×D53C2212yescomplemented
253#121×D53C2212yescomplemented
254#121×D53C2212yescomplemented
255#121×D53C2212yescomplemented
256#121×D53C2212yescomplemented
257#121×D53C2212yescomplemented
258#121×D53C2212yescomplemented
259#121×D53C2211yescharacteristic, complemented
260#121×D53C2211yescharacteristic, complemented
261#121×D53C2212yescomplemented
262C2×#13133185C2212yescomplemented
263C2×#13133185C2214yescomplemented
264#120×D53C2212yescomplemented
265#120×D53C2214yescomplemented
266#16811106C2211yescharacteristic, complemented
267#16811106C2211yescharacteristic, complemented
268#16811104C2211yescharacteristic, complemented
269#16811098C2211yescharacteristic, complemented
270#16811097C2211yescharacteristic, complemented
271#16811096C2214yescomplemented
272#16811095C2214yescomplemented
273#16811095C2214yescomplemented
274C2×C4×C22⋊D53C2212yescomplemented
275C2×C4×C22⋊D53C2212yescomplemented
276C4×D4×D53C2212yescomplemented
277C4×D4×D53C2212yescomplemented
278C2×#13133176C2211yescharacteristic, complemented
279#117×D53C2211yescharacteristic, complemented
280C2×C4⋊C4×D53C2211yescharacteristic, complemented
281C2×C22⋊C4×D53C2212yescomplemented
282C2×H(5,𝔽2)×C53C2211yescharacteristic, complemented
283C22×#41×C53C2211yescharacteristic, complemented
284C53×#550C2212yescomplemented
285C53×#548C2212yescomplemented
286C53×#546C2214yescomplemented
287C53×#546C2212yescomplemented
288D42×C53C2214yescomplemented
289D42×C53C2212yescomplemented
290C53×#537C2211yescharacteristic, complemented
291C53×#537C2212yescomplemented
292C53×#535C2211yescharacteristic, complemented
293C53×#535C2212yescomplemented
294C53×#525C2211yescharacteristic, complemented
295C53×#525C2212yescomplemented
296C2×#121×C53C2211yescharacteristic, complemented
297C2×#121×C53C2212yescomplemented
298C53×#520C2211yescharacteristic, complemented
299C24×D53C2311yescharacteristic
300C24×D53C2312yes—
301#13133263—44no—
302#13133262—416no—
303C2×#11719949C2311yescharacteristic, complemented
304C2×#11719949C2312yescomplemented
305C2×#11719945C2311yescharacteristic
306C2×#11719945C2314yes—
307C2×#11719945C2314yescomplemented
308C2×#11719945C2312yescomplemented
309C2×#11719945C2312yescomplemented
310C2×#11719947C2312yes—
311C2×#11719947C2314yes—
312C2×#11719947C2311yescharacteristic, complemented
313C2×#11719947C2314yescomplemented
314C2×#11719947C2314yescomplemented
315C2×#11719947C2314yescomplemented
316#41×D53—44no—
317C2×Q8×D53C2311yescharacteristic, complemented
318C22×D212C2311yescharacteristic
319C22×D212C2312yes—
320C22×D212C2312yescomplemented
321C22×C22⋊D53C2312yes—
322C22×C22⋊D53C2312yes—
323C22×C22⋊D53C2314yes—
324C22×C22⋊D53C2314yes—
325C22×C22⋊D53C2312yes—
326C22×C22⋊D53C2312yes—
327C22×C22⋊D53C2312yes—
328C22×C22⋊D53C2314yescomplemented
329C22×C22⋊D53C2314yescomplemented
330C2×D4×D53—44no—
331C2×D4×D53—48no—
332C2×D4×D53C2312yes—
333C2×D4×D53C2314yes—
334C2×D4×D53C2312yes—
335C2×D4×D53C2312yes—
336C2×D4×D53C2314yes—
337C2×D4×D53C2314yes—
338C2×D4×D53C2314yes—
339C2×D4×D53C2312yes—
340C2×D4×D53C2312yes—
341C2×D4×D53C2312yes—
342C2×D4×D53C2314yes—
343C2×D4×D53C2312yes—
344C2×D4×D53C2314yes—
345C2×D4×D53C2314yes—
346C2×D4×D53C2311yescharacteristic, complemented
347C2×D4×D53C2314yescomplemented
348C2×D4×D53C2312yescomplemented
349C23×Dic53C2311yescharacteristic
350C22×C4×D53—44no—
351C22×C4×D53C2311yescharacteristic
352C22×C4×D53C2311yescharacteristic
353C22×C4×D53C2311yescharacteristic
354C22×C4×D53C2312yes—
355C22×C4×D53C2311yescharacteristic
356C22×C4×D53C2311yescharacteristic
357C22×C4×D53C2311yescharacteristic
358C22×C4×D53C2311yescharacteristic
359C22×C4×D53C2311yescharacteristic
360C22×C4×D53C2311yescharacteristic
361C22×C4×D53C2311yescharacteristic
362C22×C4×D53C2311yescharacteristic
363C22×C4×D53C2311yescharacteristic
364C22×C4×D53C2312yescomplemented
365#13133217C2312yescomplemented
366#13133216C2312yescomplemented
367#13133216C2312yescomplemented
368#13133216C2312yescomplemented
369#13133213C2314yescomplemented
370#13133213C2312yescomplemented
371#13133213C2314yescomplemented
372#13133213C2314yescomplemented
373#13133213C2312yescomplemented
374#13133213C2312yescomplemented
375#13133212C2314yescomplemented
376#13133212C2314yescomplemented
377#13133212C2314yescomplemented
378#13133211C2314yescomplemented
379#13133211C2314yescomplemented
380#13133210C2314yescomplemented
381#13133210C2314yescomplemented
382#13133210C2314yescomplemented
383#13133210C2314yescomplemented
384#13133210C2314yescomplemented
385#13133210C2314yescomplemented
386#13133210C2314yescomplemented
387#13133209C2314yescomplemented
388#13133209C2312yescomplemented
389#13133208C2312yescomplemented
390#13133208C2312yescomplemented
391#13133208C2312yescomplemented
392#13133207C2314yescomplemented
393#13133207C2314yescomplemented
394#13133207C2314yescomplemented
395#13133206C2312yescomplemented
396#13133206C2314yescomplemented
397#13133206C2312yescomplemented
398#13133205C2314yescomplemented
399#13133204C2312yescomplemented
400#13133204C2314yescomplemented
401#13133204C2314yescomplemented
402#13133204C2314yescomplemented
403#13133203C2314yescomplemented
404#13133203C2314yescomplemented
405#13133203C2314yescomplemented
406#13133203C2314yescomplemented
407#13133203C2314yescomplemented
408#13133203C2314yescomplemented
409#13133202C2314yes—
410#13133202C2314yescomplemented
411#13133202C2314yescomplemented
412#13133202C2314yescomplemented
413#13133202C2312yescomplemented
414#13133202C2312yescomplemented
415#13133201C2312yes—
416#13133201C2314yescomplemented
417#13133201C2314yescomplemented
418#13133201C2314yescomplemented
419#13133201C2314yescomplemented
420#13133200C2312yes—
421#13133200C2314yescomplemented
422#13133200C2314yescomplemented
423#13133200C2314yescomplemented
424#13133200C2314yescomplemented
425#13133200C2314yescomplemented
426#13133199C2314yes—
427#13133199C2314yes—
428#13133199C2314yes—
429#13133199C2314yescomplemented
430#13133199C2314yescomplemented
431#13133199C2314yescomplemented
432#13133199C2314yescomplemented
433#13133199C2314yescomplemented
434#13133199C2314yescomplemented
435#13133199C2314yescomplemented
436#13133199C2314yescomplemented
437#13133199C2312yescomplemented
438#13133199C2312yescomplemented
439#13133198C2312yes—
440#13133198C2312yes—
441#13133198C2312yes—
442#13133198C2312yes—
443#13133198C2312yes—
444#13133198C2314yescomplemented
445#13133198C2314yescomplemented
446#13133198C2314yescomplemented
447#13133198C2314yescomplemented
448#13133198C2314yescomplemented
449#13133198C2314yescomplemented
450#13133198C2314yescomplemented
451#13133198C2312yescomplemented
452#13133198C2312yescomplemented
453#13133198C2312yescomplemented
454#13133198C2312yescomplemented
455#13133197C2314yes—
456#13133197C2311yescharacteristic
457#13133197C2311yescharacteristic
458#13133197C2314yescomplemented
459#13133196C2314yes—
460#13133196C2314yescomplemented
461#13133196C2314yescomplemented
462#13133196C2312yescomplemented
463#13133196C2311yescharacteristic, complemented
464#13133196C2311yescharacteristic, complemented
465#13133195C2312yes—
466#13133195C2314yes—
467#13133195C2312yes—
468#13133195C2314yescomplemented
469#13133195C2314yescomplemented
470#13133195C2314yescomplemented
471#13133194C2314yes—
472#13133194C2314yescomplemented
473#13133194C2314yescomplemented
474#13133194C2314yescomplemented
475#13133194C2314yescomplemented
476#13133194C2312yescomplemented
477#13133194C2312yescomplemented
478#13133193C2311yescharacteristic
479#13133193C2311yescharacteristic
480#13133193C2312yes—
481#13133193C2311yescharacteristic
482#13133193C2311yescharacteristic
483#13133193C2311yescharacteristic
484#13133193C2311yescharacteristic
485#13133193C2312yes—
486#13133193C2314yescomplemented
487#13133193C2312yescomplemented
488#13133193C2312yescomplemented
489#13133193C2311yescharacteristic, complemented
490#13133193C2311yescharacteristic, complemented
491#13133193C2311yescharacteristic, complemented
492#13133193C2311yescharacteristic, complemented
493#13133193C2312yescomplemented
494#13133192C2312yes—
495#13133192C2311yescharacteristic
496#13133192C2312yes—
497#13133192C2311yescharacteristic
498#13133192C2312yes—
499#13133192C2312yes—
500#13133192C2314yescomplemented
501#13133191C2312yes—
502#13133191C2312yes—
503#13133191C2312yes—
504#13133191C2312yes—
505#13133191C2314yescomplemented
506#13133191C2314yescomplemented
507#13133191C2314yescomplemented
508#13133191C2312yescomplemented
509#13133191C2312yescomplemented
510#13133191C2312yescomplemented
511#13133191C2314yescomplemented
512#13133191C2312yescomplemented
513#13133191C2312yescomplemented
514#13133191C2311yescharacteristic, complemented
515#13133191C2311yescharacteristic, complemented
516#13133190C2314yes—
517#13133190C2314yes—
518#13133190C2314yes—
519#13133190C2314yes—
520#13133190C2314yes—
521#13133190C2312yes—
522#13133190C2312yes—
523#13133190C2314yescomplemented
524#13133190C2314yescomplemented
525#13133190C2314yescomplemented
526#13133190C2314yescomplemented
527#13133190C2314yescomplemented
528#13133190C2314yescomplemented
529#13133190C2314yescomplemented
530#13133189C2314yes—
531#13133189C2314yes—
532#13133189C2314yes—
533#13133189C2314yes—
534#13133189C2314yes—
535#13133189C2314yescomplemented
536#13133189C2314yescomplemented
537#13133189C2314yescomplemented
538#13133189C2314yescomplemented
539#13133189C2314yescomplemented
540#13133189C2314yescomplemented
541#13133189C2314yescomplemented
542#13133189C2314yescomplemented
543#13133189C2314yescomplemented
544#13133189C2314yescomplemented
545#13133189C2314yescomplemented
546#13133189C2312yescomplemented
547#13133189C2314yescomplemented
548#13133189C2312yescomplemented
549#13133189C2314yescomplemented
550#13133189C2314yescomplemented
551#13133189C2314yescomplemented
552#13133188C2312yes—
553#13133188C2312yes—
554#13133188C2311yescharacteristic
555#13133188C2311yescharacteristic
556#13133188C2312yes—
557#13133188C2311yescharacteristic
558#13133188C2311yescharacteristic
559#13133188C2311yescharacteristic
560#13133188C2314yes—
561#13133188C2311yescharacteristic
562#13133188C2312yes—
563#13133188C2312yes—
564#13133188C2312yes—
565#13133188C2312yescomplemented
566#13133188C2312yescomplemented
567#13133188C2314yescomplemented
568#13133188C2314yescomplemented
569#13133188C2314yescomplemented
570#13133188C2314yescomplemented
571#13133188C2314yescomplemented
572#13133188C2314yescomplemented
573#13133188C2312yescomplemented
574#13133188C2314yescomplemented
575#13133188C2314yescomplemented
576#13133188C2312yescomplemented
577#13133188C2311yescharacteristic, complemented
578#13133188C2311yescharacteristic, complemented
579#13133188C2312yescomplemented
580#13133188C2311yescharacteristic, complemented
581#13133188C2311yescharacteristic, complemented
582#13133187C2314yes—
583#13133187C2314yes—
584#13133187C2312yes—
585#13133187C2312yes—
586#13133187C2312yes—
587#13133187C2314yescomplemented
588#13133187C2314yescomplemented
589#13133186C2314yes—
590#13133186C2312yes—
591#13133186C2314yescomplemented
592#13133186C2314yescomplemented
593#13133186C2314yescomplemented
594#13133186C2314yescomplemented
595#13133186C2314yescomplemented
596#13133185C2312yes—
597#13133185C2314yes—
598#13133185C2312yes—
599#13133185C2314yes—
600#13133185C2314yes—
601#13133185C2314yes—
602#13133185C2314yes—
603#13133185C2314yes—
604#13133185C2314yes—
605#13133185C2312yes—
606#13133185C2312yes—
607#13133185C2312yes—
608#13133185C2312yes—
609#13133185C2312yes—
610#13133185C2312yes—
611#13133185C2312yes—
612#13133185C2312yes—
613#13133185C2312yes—
614#13133185C2314yes—
615#13133185C2314yescomplemented
616#13133185C2314yescomplemented
617#13133185C2314yescomplemented
618#13133185C2314yescomplemented
619#13133185C2314yescomplemented
620#13133185C2314yescomplemented
621Q8×Dic53C2312yescomplemented
622Q8×Dic53C2312yescomplemented
623#13133182C2312yescomplemented
624C4×D212C2312yes—
625C4×D212C2312yes—
626C4×D212C2314yes—
627C4×D212C2312yescomplemented
628C4×D212C2312yescomplemented
629C4×D212C2314yescomplemented
630D4×Dic53C2314yes—
631D4×Dic53C2314yes—
632D4×Dic53C2312yescomplemented
633D4×Dic53C2312yescomplemented
634D4×Dic53C2314yescomplemented
635D4×Dic53C2312yescomplemented
636D4×Dic53C2312yescomplemented
637D4×Dic53C2312yescomplemented
638D4×Dic53C2314yescomplemented
639D4×Dic53C2312yescomplemented
640D4×Dic53C2312yescomplemented
641D4×Dic53C2312yescomplemented
642#13133179C2312yes—
643#13133179C2312yes—
644#13133179C2312yescomplemented
645#13133179C2312yescomplemented
646#13133179C2314yescomplemented
647#13133179C2312yescomplemented
648C4×C22⋊D53C2314yes—
649C4×C22⋊D53C2312yes—
650C4×C22⋊D53C2312yes—
651C4×C22⋊D53C2314yes—
652C4×C22⋊D53C2312yes—
653C4×C22⋊D53C2312yes—
654C4×C22⋊D53C2312yes—
655C4×C22⋊D53C2312yes—
656C4×C22⋊D53C2312yes—
657C4×C22⋊D53C2312yes—
658C4×C22⋊D53C2312yes—
659C4×C22⋊D53C2312yes—
660C4×C22⋊D53C2312yescomplemented
661C4×C22⋊D53C2314yescomplemented
662C4×C22⋊D53C2314yescomplemented
663C4×C22⋊D53C2312yescomplemented
664C4×C22⋊D53C2312yescomplemented
665C4×C22⋊D53C2312yescomplemented
666C4×C22⋊D53C2312yescomplemented
667C4×C22⋊D53C2314yescomplemented
668C4×C22⋊D53C2314yescomplemented
669C4×C22⋊D53C2314yescomplemented
670C4×C22⋊D53C2312yescomplemented
671C4×C22⋊D53C2312yescomplemented
672C4×C22⋊D53C2312yescomplemented
673C4×C22⋊D53C2312yescomplemented
674C4×C22⋊D53C2312yescomplemented
675#13133177C2312yes—
676#13133177C2314yes—
677#13133177C2314yes—
678#13133177C2312yes—
679#13133177C2314yescomplemented
680#13133177C2314yescomplemented
681#13133177C2314yescomplemented
682#13133177C2314yescomplemented
683#13133177C2314yescomplemented
684#13133177C2312yescomplemented
685#13133177C2312yescomplemented
686#13133176C2312yes—
687#13133176C2311yescharacteristic
688#13133176C2311yescharacteristic
689#13133176C2311yescharacteristic
690#13133176C2312yescomplemented
691#13133176C2312yescomplemented
692#13133176C2311yescharacteristic, complemented
693#13133176C2311yescharacteristic, complemented
694#13133176C2312yescomplemented
695#13133175C2314yes—
696#13133175C2314yescomplemented
697#13133175C2312yescomplemented
698#13133175C2311yescharacteristic, complemented
699#13133175C2311yescharacteristic, complemented
700#13133174C2314yes—
701#13133174C2314yescomplemented
702#13133174C2312yescomplemented
703#13133173C2312yes—
704#13133173C2314yescomplemented
705#13133173C2314yescomplemented
706C2×C4⋊Dic53C2311yescharacteristic
707C2×C4⋊Dic53C2311yescharacteristic, complemented
708C2×C4⋊Dic53C2312yescomplemented
709C2×C4⋊Dic53C2312yescomplemented
710C2×C4⋊Dic53C2311yescharacteristic, complemented
711C2×#11719919C2312yes—
712C2×#11719919C2312yescomplemented
713C2×#11719919C2312yescomplemented
714C4⋊C4×D53C2312yes—
715C4⋊C4×D53C2312yes—
716C4⋊C4×D53C2312yes—
717C4⋊C4×D53C2312yes—
718C4⋊C4×D53C2311yescharacteristic, complemented
719C4⋊C4×D53C2312yescomplemented
720C4⋊C4×D53C2311yescharacteristic, complemented
721C4⋊C4×D53C2312yescomplemented
722C4⋊C4×D53C2312yescomplemented
723C2×C22⋊Dic53C2312yes—
724C2×C22⋊Dic53C2312yes—
725C2×C22⋊Dic53C2314yes—
726C2×C22⋊Dic53C2314yescomplemented
727C2×C22⋊Dic53C2312yescomplemented
728C2×C22⋊Dic53C2312yescomplemented
729C2×#11719921C2312yes—
730C2×#11719921C2314yes—
731C2×#11719921C2312yes—
732C2×#11719921C2314yes—
733C2×#11719921C2312yes—
734C2×#11719921C2312yes—
735C2×#11719921C2314yescomplemented
736C22⋊C4×D53C2314yes—
737C22⋊C4×D53C2314yes—
738C22⋊C4×D53C2312yes—
739C22⋊C4×D53C2314yes—
740C22⋊C4×D53C2312yes—
741C22⋊C4×D53C2314yes—
742C22⋊C4×D53C2314yes—
743C22⋊C4×D53C2314yes—
744C22⋊C4×D53C2314yes—
745C22⋊C4×D53C2312yes—
746C22⋊C4×D53C2314yescomplemented
747C22⋊C4×D53C2312yescomplemented
748C22⋊C4×D53C2312yescomplemented
749C2×C4×Dic53C2312yescomplemented
750C42×D53C2312yescomplemented
751H(5,𝔽2)×C53—44no—
752C2×#41×C53—44no—
753C2×#41×C53C2311yescharacteristic
754C2×#41×C53C2311yescharacteristic
755C2×#41×C53C2311yescharacteristic
756C2×#41×C53C2312yes—
757C2×#41×C53C2312yescomplemented
758C2×#41×C53C2311yescharacteristic, complemented
759C2×#41×C53C2312yescomplemented
760C2×#41×C53C2312yescomplemented
761C2×#41×C53C2311yescharacteristic, complemented
762C22×Q8×C53C2311yescharacteristic, complemented
763C22×D4×C53C2311yescharacteristic
764C22×D4×C53C2312yes—
765C22×D4×C53C2314yes—
766C22×D4×C53C2312yes—
767C22×D4×C53C2312yescomplemented
768C22×D4×C53C2314yescomplemented
769C22×D4×C53C2311yescharacteristic, complemented
770C22×D4×C53C2312yescomplemented
771C23×C4×C53C2311yescharacteristic
772C23×C4×C53C2312yescomplemented
773#127×C53C2314yescomplemented
774#127×C53C2312yescomplemented
775#124×C53C2312yescomplemented
776#124×C53C2314yescomplemented
777#123×C53C2312yes—
778#123×C53C2314yescomplemented
779C22⋊Q8×C53C2312yescomplemented
780C22⋊Q8×C53C2314yescomplemented
781C22⋊Q8×C53C2311yescharacteristic, complemented
782C22⋊Q8×C53C2311yescharacteristic, complemented
783C22⋊Q8×C53C2312yescomplemented
784#121×C53C2312yes—
785#121×C53C2312yes—
786#121×C53C2312yes—
787#121×C53C2312yes—
788#121×C53C2314yes—
789#121×C53C2312yescomplemented
790#121×C53C2312yescomplemented
791#121×C53C2314yescomplemented
792#121×C53C2314yescomplemented
793#121×C53C2312yescomplemented
794#121×C53C2312yescomplemented
795#121×C53C2311yescharacteristic, complemented
796#121×C53C2314yescomplemented
797#121×C53C2314yescomplemented
798#121×C53C2311yescharacteristic, complemented
799#121×C53C2314yescomplemented
800#120×C53C2312yes—
801#120×C53C2314yes—
802#120×C53C2314yescomplemented
803#120×C53C2314yescomplemented
804#120×C53C2314yescomplemented
805C4×Q8×C53C2312yescomplemented
806C4×D4×C53C2314yes—
807C4×D4×C53C2314yescomplemented
808C4×D4×C53C2312yescomplemented
809C4×D4×C53C2312yescomplemented
810C4×D4×C53C2314yescomplemented
811C4×D4×C53C2312yescomplemented
812#117×C53C2311yescharacteristic
813#117×C53C2312yescomplemented
814C2×C4⋊C4×C53C2311yescharacteristic
815C2×C4⋊C4×C53C2312yescomplemented
816C2×C22⋊C4×C53C2312yes—
817C2×C22⋊C4×C53C2314yescomplemented
818C24×C53C2411yescharacteristic
819C24×C53C2412yes—
820C24×C53C2412yes—
821C24×C53C2414yes—
822C23×D53—24no—
823C23×D53—42no—
824C23×D53—44no—
825C23×D53—44no—
826C23×D53—42no—
827C23×D53—44no—
828C23×D53C2411yescharacteristic
829C23×D53C2411yescharacteristic
830C23×D53C2411yescharacteristic
831C23×D53C2411yescharacteristic
832C23×D53C2414yes—
833C23×D53C2414yes—
834C23×D53C2412yes—
835C23×D53C2412yes—
836C23×D53C2411yescharacteristic
837C23×D53C2414yes—
838C23×D53C2411yescharacteristic
839#41×C53—24no—
840#41×C53—24no—
841#41×C53—24no—
842#41×C53—44no—
843#41×C53—44no—
844#41×C53—42no—
845#41×C53—42no—
846#41×C53—44no—
847#41×C53—44no—
848C2×Q8×C53—42no—
849C2×Q8×C53C2411yescharacteristic
850C2×Q8×C53C2411yescharacteristic
851C2×Q8×C53C2411yescharacteristic
852C2×Q8×C53C2412yes—
853C2×D4×C53—24no—
854C2×D4×C53—42no—
855C2×D4×C53—44no—
856C2×D4×C53—44no—
857C2×D4×C53—44no—
858C2×D4×C53—48no—
859C2×D4×C53—44no—
860C2×D4×C53—48no—
861C2×D4×C53C2412yes—
862C2×D4×C53C2411yescharacteristic
863C2×D4×C53C2412yes—
864C2×D4×C53C2414yes—
865C2×D4×C53C2412yes—
866C2×D4×C53C2412yes—
867C2×D4×C53C2412yes—
868C2×D4×C53C2412yes—
869C2×D4×C53C2411yescharacteristic
870C2×D4×C53C2411yescharacteristic
871C2×D4×C53C2414yes—
872C2×D4×C53C2412yes—
873C2×D4×C53C2414yes—
874C2×D4×C53C2412yes—
875C2×D4×C53C2412yes—
876C2×D4×C53C2414yes—
877C2×D4×C53C2414yes—
878C2×D4×C53C2414yes—
879C2×D4×C53C2414yes—
880C2×D4×C53C2412yes—
881C22×C4×C53—24no—
882C22×C4×C53—44no—
883C22×C4×C53C2411yescharacteristic
884C22×C4×C53C2412yes—
885C22×C4×C53C2411yescharacteristic
886C22×C4×C53C2411yescharacteristic
887C22×C4×C53C2412yes—
888C22×C4×C53C2411yescharacteristic
889C22×C4×C53C2411yescharacteristic
890C22×C4×C53C2412yes—
891C22×C4×C53C2412yes—
892C22×C4×C53C2412yes—
893C22×C4×C53C2414yes—
894C22×C4×C53C2412yes—
895C22×C4×C53C2412yes—
896C22×C4×C53C2414yes—
897C22×C4×C53C2411yescharacteristic
898C2×C22⋊D53—28no—
899C2×C22⋊D53—44no—
900C2×C22⋊D53—44no—
901C2×C22⋊D53—44no—
902C2×C22⋊D53—48no—
903C2×C22⋊D53—48no—
904C2×C22⋊D53—48no—
905C2×C22⋊D53—44no—
906C2×C22⋊D53—48no—
907C2×C22⋊D53C2412yes—
908C2×C22⋊D53C2412yes—
909C2×C22⋊D53C2412yes—
910C2×C22⋊D53C2414yes—
911C2×C22⋊D53C2412yes—
912C2×C22⋊D53C2414yes—
913C2×C22⋊D53C2412yes—
914C2×C22⋊D53C2412yes—
915C2×C22⋊D53C2412yes—
916C2×C22⋊D53C2412yes—
917C2×C22⋊D53C2412yes—
918C2×C22⋊D53C2412yes—
919C2×C22⋊D53C2414yes—
920C2×C22⋊D53C2414yes—
921C2×C22⋊D53C2412yes—
922C2×C22⋊D53C2414yes—
923C2×C22⋊D53C2412yes—
924C2×C22⋊D53C2412yes—
925C2×C22⋊D53C2412yes—
926C2×C22⋊D53C2414yes—
927C2×C22⋊D53C2414yes—
928C2×C22⋊D53C2414yes—
929C2×C22⋊D53C2412yes—
930C2×C22⋊D53C2414yes—
931C2×C22⋊D53C2414yes—
932C2×C22⋊D53C2414yes—
933C2×C22⋊D53C2414yes—
934C2×C22⋊D53C2414yes—
935C2×C22⋊D53C2414yes—
936C22×Dic53—42no—
937C22×Dic53C2412yes—
938C22×Dic53C2411yescharacteristic
939C22×Dic53C2411yescharacteristic
940C22×Dic53C2412yes—
941C22×Dic53C2412yes—
942C22×Dic53C2414yes—
943C22×Dic53C2414yes—
944C22×Dic53C2414yes—
945C22×Dic53C2411yescharacteristic
946C22×Dic53C2411yescharacteristic
947C22×Dic53C2412yes—
948C22×Dic53C2414yes—
949C22×Dic53C2411yescharacteristic
950C22×Dic53C2411yescharacteristic
951#11719949—42no—
952#11719949—44no—
953Q8×D53—42no—
954#11719947—42no—
955#11719947—48no—
956#11719947—48no—
957#11719947—44no—
958#11719947—48no—
959#11719947—48no—
960D4×D53—216no—
961D4×D53—28no—
962D4×D53—44no—
963D4×D53—44no—
964D4×D53—44no—
965D4×D53—44no—
966D4×D53—42no—
967D4×D53—44no—
968D4×D53—48no—
969D4×D53—48no—
970D4×D53—48no—
971D4×D53—44no—
972D4×D53—48no—
973D4×D53—48no—
974D4×D53—48no—
975D4×D53—44no—
976D4×D53—48no—
977#11719945—24no—
978#11719945—44no—
979#11719945—44no—
980#11719945—48no—
981#11719945—48no—
982C2×D212—24no—
983C2×D212—44no—
984C2×D212—44no—
985C2×D212C2412yes—
986C2×D212C2412yes—
987C2×D212C2412yes—
988C2×D212C2411yescharacteristic
989C2×D212C2414yes—
990C2×D212C2412yes—
991C2×D212C2412yes—
992C2×D212C2414yes—
993C2×D212C2414yes—
994C2×C4×D53—24no—
995C2×C4×D53—24no—
996C2×C4×D53—42no—
997C2×C4×D53—42no—
998C2×C4×D53—42no—
999C2×C4×D53—42no—
1000C2×C4×D53—42no—
1001C2×C4×D53—42no—
1002C2×C4×D53—42no—
1003C2×C4×D53—42no—
1004C2×C4×D53—44no—
1005C2×C4×D53—44no—
1006C2×C4×D53—42no—
1007C2×C4×D53—42no—
1008C2×C4×D53C2411yescharacteristic
1009C2×C4×D53C2412yes—
1010C2×C4×D53C2414yes—
1011C2×C4×D53C2411yescharacteristic
1012C2×C4×D53C2411yescharacteristic
1013C2×C4×D53C2411yescharacteristic
1014C2×C4×D53C2411yescharacteristic
1015C2×C4×D53C2411yescharacteristic
1016C2×C4×D53C2412yes—
1017C2×C4×D53C2411yescharacteristic
1018C2×C4×D53C2411yescharacteristic
1019C2×C4×D53C2412yes—
1020C2×C4×D53C2411yescharacteristic
1021C2×C4×D53C2411yescharacteristic
1022C2×C4×D53C2411yescharacteristic
1023C2×C4×D53C2411yescharacteristic
1024C2×C4×D53C2414yes—
1025C2×C4×D53C2412yes—
1026C2×C4×D53C2414yes—
1027C2×C4×D53C2414yes—
1028C2×C4×D53C2414yes—
1029C2×C4×D53C2411yescharacteristic
1030C2×C4×D53C2411yescharacteristic
1031C2×C4×D53C2412yes—
1032C2×C4×D53C2414yes—
1033C2×C4×D53C2411yescharacteristic
1034C2×C4×D53C2411yescharacteristic
1035C2×Dic106C2411yescharacteristic
1036C2×Dic106C2414yes—
1037C2×Dic106C2414yes—
1038C2×Dic106C2412yes—
1039C4⋊C4×C53C2412yes—
1040C4⋊C4×C53C2412yes—
1041C4⋊C4×C53C2411yescharacteristic
1042C4⋊C4×C53C2414yes—
1043C4⋊C4×C53C2411yescharacteristic
1044C4⋊C4×C53C2412yes—
1045C4⋊C4×C53C2414yes—
1046C4⋊C4×C53C2412yes—
1047C22⋊C4×C53C2414yes—
1048C22⋊C4×C53C2414yes—
1049C22⋊C4×C53C2412yes—
1050C22⋊C4×C53C2414yes—
1051C22⋊C4×C53C2414yes—
1052C22⋊C4×C53C2412yes—
1053C22⋊C4×C53C2414yes—
1054C22⋊C4×C53C2412yes—
1055C22⋊C4×C53C2414yes—
1056C22⋊C4×C53C2412yes—
1057C22⋊C4×C53C2412yes—
1058C22⋊C4×C53C2414yes—
1059C42×C53C2412yes—
1060C42×C53C2414yes—
1061C22⋊Dic53C2414yes—
1062C22⋊Dic53C2412yes—
1063C22⋊Dic53C2414yes—
1064C22⋊Dic53C2412yes—
1065C22⋊Dic53C2414yes—
1066C22⋊Dic53C2412yes—
1067C22⋊Dic53C2414yes—
1068C22⋊Dic53C2412yes—
1069C22⋊Dic53C2412yes—
1070C22⋊Dic53C2412yes—
1071C22⋊Dic53C2412yes—
1072C22⋊Dic53C2412yes—
1073C22⋊Dic53C2412yes—
1074C22⋊Dic53C2412yes—
1075C22⋊Dic53C2414yes—
1076C22⋊Dic53C2414yes—
1077C22⋊Dic53C2412yes—
1078C22⋊Dic53C2412yes—
1079C22⋊Dic53C2412yes—
1080C22⋊Dic53C2412yes—
1081C22⋊Dic53C2412yes—
1082C22⋊Dic53C2412yes—
1083C22⋊Dic53C2412yes—
1084C22⋊Dic53C2414yes—
1085C22⋊Dic53C2414yes—
1086C22⋊Dic53C2414yes—
1087#11719921C2412yes—
1088#11719921C2412yes—
1089#11719921C2414yes—
1090#11719921C2414yes—
1091#11719921C2412yes—
1092#11719921C2412yes—
1093#11719921C2414yes—
1094#11719921C2414yes—
1095#11719921C2412yes—
1096#11719921C2412yes—
1097#11719921C2412yes—
1098#11719921C2412yes—
1099#11719921C2414yes—
1100#11719921C2414yes—
1101#11719921C2414yes—
1102#11719921C2412yes—
1103#11719921C2412yes—
1104#11719921C2412yes—
1105#11719921C2412yes—
1106#11719921C2412yes—
1107#11719921C2412yes—
1108#11719921C2414yes—
1109#11719921C2412yes—
1110#11719921C2414yes—
1111#11719921C2412yes—
1112#11719921C2412yes—
1113#11719921C2412yes—
1114#11719921C2414yes—
1115#11719921C2414yes—
1116#11719921C2414yes—
1117C4⋊Dic53C2412yes—
1118C4⋊Dic53C2412yes—
1119C4⋊Dic53C2411yescharacteristic
1120C4⋊Dic53C2411yescharacteristic
1121C4⋊Dic53C2411yescharacteristic
1122C4⋊Dic53C2412yes—
1123C4⋊Dic53C2412yes—
1124C4⋊Dic53C2411yescharacteristic
1125C4⋊Dic53C2411yescharacteristic
1126C4⋊Dic53C2411yescharacteristic
1127C4⋊Dic53C2412yes—
1128C4⋊Dic53C2412yes—
1129C4⋊Dic53C2414yes—
1130C4⋊Dic53C2414yes—
1131C4⋊Dic53C2414yes—
1132C4⋊Dic53C2414yes—
1133#11719919C2414yes—
1134#11719919C2414yes—
1135#11719919C2412yes—
1136#11719919C2412yes—
1137#11719919C2412yes—
1138#11719919C2412yes—
1139#11719919C2412yes—
1140#11719919C2412yes—
1141#11719919C2414yes—
1142#11719919C2412yes—
1143#11719919C2412yes—
1144#11719919C2412yes—
1145#11719919C2412yes—
1146#11719919C2412yes—
1147#11719919C2412yes—
1148#11719919C2412yes—
1149#11719919C2412yes—
1150#11719919C2414yes—
1151#11719919C2414yes—
1152#11719919C2414yes—
1153#11719919C2414yes—
1154#11719919C2414yes—
1155C4×Dic53C2412yes—
1156C4×Dic53C2412yes—
1157C4×Dic53C2412yes—
1158C4×Dic53C2412yes—
1159C4×Dic53C2412yes—
1160C4×Dic53C2412yes—
1161C4×Dic53C2412yes—
1162C4×Dic53C2414yes—
1163C4×Dic53C2414yes—
1164C4×Dic53C2414yes—
1165C23×C53—22no—
1166C23×C53—22no—
1167C23×C53—24no—
1168C23×C53—24no—
1169C23×C53—41no—
1170C23×C53—42no—
1171C23×C53—42no—
1172C23×C53—42no—
1173C23×C53—42no—
1174C23×C53—44no—
1175C23×C53—44no—
1176C23×C53—44no—
1177C23×C53C2512yes—
1178C23×C53C2512yes—
1179C23×C53C2511yescharacteristic
1180C23×C53C2514yes—
1181C23×C53C2512yes—
1182C23×C53C2511yescharacteristic
1183C23×C53C2511yescharacteristic
1184C22×D53—22no—
1185C22×D53—22no—
1186C22×D53—22no—
1187C22×D53—22no—
1188C22×D53—22no—
1189C22×D53—24no—
1190C22×D53—22no—
1191C22×D53—22no—
1192C22×D53—22no—
1193C22×D53—22no—
1194C22×D53—22no—
1195C22×D53—24no—
1196C22×D53—28no—
1197C22×D53—28no—
1198C22×D53—41no—
1199C22×D53—41no—
1200C22×D53—41no—
1201C22×D53—41no—
1202C22×D53—41no—
1203C22×D53—41no—
1204C22×D53—41no—
1205C22×D53—42no—
1206C22×D53—42no—
1207C22×D53—44no—
1208C22×D53—44no—
1209C22×D53—44no—
1210C22×D53—42no—
1211C22×D53—44no—
1212C22×D53—42no—
1213C22×D53—44no—
1214C22×D53—44no—
1215C22×D53—44no—
1216C22×D53—416no—
1217C22×D53—816no—
1218C22×D53H(5,𝔽2)14yescomplemented
1219C22×D53C2511yescharacteristic
1220C22×D53C2512yes—
1221C22×D53C2514yes—
1222C22×D53C2511yescharacteristic
1223C22×D53C2511yescharacteristic
1224C22×D53C2511yescharacteristic
1225Q8×C53—22no—
1226Q8×C53—22no—
1227Q8×C53—22no—
1228Q8×C53—42no—
1229D4×C53—28no—
1230D4×C53—24no—
1231D4×C53—24no—
1232D4×C53—24no—
1233D4×C53—24no—
1234D4×C53—24no—
1235D4×C53—24no—
1236D4×C53—22no—
1237D4×C53—22no—
1238D4×C53—22no—
1239D4×C53—44no—
1240D4×C53—44no—
1241D4×C53—44no—
1242D4×C53—44no—
1243D4×C53—42no—
1244D4×C53—44no—
1245D4×C53—44no—
1246D4×C53—42no—
1247D4×C53—42no—
1248D4×C53—42no—
1249C2×C4×C53—22no—
1250C2×C4×C53—22no—
1251C2×C4×C53—22no—
1252C2×C4×C53—22no—
1253C2×C4×C53—22no—
1254C2×C4×C53—24no—
1255C2×C4×C53—24no—
1256C2×C4×C53—24no—
1257C2×C4×C53—42no—
1258C2×C4×C53—44no—
1259C2×C4×C53—42no—
1260C2×C4×C53—42no—
1261C2×C4×C53—42no—
1262C2×C4×C53—44no—
1263C2×C4×C53H(5,𝔽2)14yescomplemented
1264C2×C4×C53C2512yes—
1265C2×C4×C53C2514yes—
1266C2×C4×C53C2512yes—
1267C2×C4×C53C2511yescharacteristic
1268C2×C4×C53C2511yescharacteristic
1269C2×C4×C53C2512yes—
1270C2×C4×C53C2512yes—
1271C2×C4×C53C2512yes—
1272C2×C4×C53C2511yescharacteristic
1273C2×C4×C53C2511yescharacteristic
1274C22⋊D53—24no—
1275C22⋊D53—28no—
1276C22⋊D53—24no—
1277C22⋊D53—24no—
1278C22⋊D53—24no—
1279C22⋊D53—28no—
1280C22⋊D53—24no—
1281C22⋊D53—24no—
1282C22⋊D53—24no—
1283C22⋊D53—24no—
1284C22⋊D53—24no—
1285C22⋊D53—24no—
1286C22⋊D53—44no—
1287C22⋊D53—42no—
1288C22⋊D53—42no—
1289C22⋊D53—44no—
1290C22⋊D53—44no—
1291C22⋊D53—44no—
1292C22⋊D53—44no—
1293C22⋊D53—44no—
1294C22⋊D53—44no—
1295C22⋊D53—44no—
1296C22⋊D53—44no—
1297C22⋊D53—44no—
1298C22⋊D53—42no—
1299C22⋊D53—42no—
1300C22⋊D53—44no—
1301C22⋊D53—44no—
1302C22⋊D53—42no—
1303C2×Dic53—22no—
1304C2×Dic53—22no—
1305C2×Dic53—24no—
1306C2×Dic53—41no—
1307C2×Dic53—41no—
1308C2×Dic53—41no—
1309C2×Dic53—41no—
1310C2×Dic53—42no—
1311C2×Dic53—42no—
1312C2×Dic53—44no—
1313C2×Dic53—44no—
1314C2×Dic53—44no—
1315C2×Dic53—42no—
1316C2×Dic53—44no—
1317C2×Dic53C2511yescharacteristic
1318C2×Dic53C2512yes—
1319C2×Dic53C2512yes—
1320C2×Dic53C2512yes—
1321C2×Dic53C2512yes—
1322C2×Dic53C2514yes—
1323C2×Dic53C2511yescharacteristic
1324C2×Dic53C2511yescharacteristic
1325C2×Dic53C2511yescharacteristic
1326C2×Dic53C2512yes—
1327C2×Dic53C2512yes—
1328C2×Dic53C2512yes—
1329D212—28no—
1330D212—24no—
1331D212—24no—
1332D212—24no—
1333D212—24no—
1334D212—22no—
1335D212—44no—
1336D212—44no—
1337D212—42no—
1338C4×D53—28no—
1339C4×D53—24no—
1340C4×D53—22no—
1341C4×D53—22no—
1342C4×D53—22no—
1343C4×D53—22no—
1344C4×D53—22no—
1345C4×D53—22no—
1346C4×D53—22no—
1347C4×D53—22no—
1348C4×D53—24no—
1349C4×D53—41no—
1350C4×D53—41no—
1351C4×D53—41no—
1352C4×D53—41no—
1353C4×D53—41no—
1354C4×D53—41no—
1355C4×D53—41no—
1356C4×D53—41no—
1357C4×D53—44no—
1358C4×D53—42no—
1359C4×D53—42no—
1360C4×D53—44no—
1361C4×D53—44no—
1362C4×D53—44no—
1363C4×D53—44no—
1364C4×D53—42no—
1365Dic106—22no—
1366Dic106—44no—
1367Dic106—44no—
1368Dic106—42no—
1369#62818—531nomaximal, Sylow
1370C22×C53—21no—
1371C22×C53—21no—
1372C22×C53—21no—
1373C22×C53—21no—
1374C22×C53—22no—
1375C22×C53—22no—
1376C22×C53—21no—
1377C22×C53—24no—
1378C22×C53—22no—
1379C22×C53—22no—
1380C22×C53—21no—
1381C22×C53—22no—
1382C22×C53—24no—
1383C22×C53—22no—
1384C22×C53—24no—
1385C22×C53—22no—
1386C22×C53—22no—
1387C22×C53—22no—
1388C22×C53—21no—
1389C22×C53—44no—
1390C22×C53—84no—
1391C22×C53—84no—
1392C22×C53—164no—
1393C22×C53C2×H(5,𝔽2)12yes—
1394C22×C53C2×H(5,𝔽2)12yes—
1395C22×C53C2611yescharacteristic
1396C2×D53—28no—
1397C2×D53—21no—
1398C2×D53—21no—
1399C2×D53—21no—
1400C2×D53—21no—
1401C2×D53—21no—
1402C2×D53—21no—
1403C2×D53—21no—
1404C2×D53—22no—
1405C2×D53—22no—
1406C2×D53—24no—
1407C2×D53—24no—
1408C2×D53—21no—
1409C2×D53—24no—
1410C2×D53—22no—
1411C2×D53—21no—
1412C2×D53—44no—
1413C2×D53—44no—
1414C2×D53—44no—
1415C2×D53—44no—
1416C2×D53—44no—
1417C2×D53—84no—
1418C2×D53—88no—
1419C2×D53—88no—
1420C2×D53—84no—
1421C2×D53—164no—
1422C2×D53C2×H(5,𝔽2)12yes—
1423C2×D53C2×H(5,𝔽2)12yes—
1424C2×D53#58512yes—
1425C4×C53—22no—
1426C4×C53—24no—
1427C4×C53—22no—
1428C4×C53—21no—
1429C4×C53—21no—
1430C4×C53—22no—
1431C4×C53—22no—
1432C4×C53—22no—
1433C4×C53C2×H(5,𝔽2)12yes—
1434C4×C53C2×H(5,𝔽2)12yes—
1435Dic53—22no—
1436Dic53—21no—
1437Dic53—22no—
1438Dic53—22no—
1439Dic53—22no—
1440Dic53—24no—
1441Dic53—21no—
1442Dic53—21no—
1443Dic53—21no—
1444Dic53—22no—
1445Dic53—22no—
1446Dic53—22no—
1447#3542—532no—
1448#3542—532no—
1449#3542—532no—
1450#3542—532no—
1451#3537—532no—
1452#3537—532no—
1453#3536—532no—
1454#3536—532no—
1455#3534—534no—
1456#3534—534no—
1457#3519—532no—
1458#3519—532no—
1459#3519—532no—
1460#3519—532no—
1461#3505—532no—
1462#3505—532no—
1463#3496—532no—
1464#3496—532no—
1465#3494—531no—
1466#3494—531no—
1467#3494—531no—
1468#3494—531no—
1469#3492—531no—
1470#3492—531no—
1471#3490—534no—
1472#3488—531no—
1473#3488—531no—
1474#3488—531no—
1475#3488D5311yescharacteristic, complemented
1476#3484—531no—
1477#3484—534no—
1478#3484—531no—
1479C2×#525—531no—
1480C2×#525—531no—
1481C22×#121—531no—
1482C2×C53—22no—
1483C2×C53—22no—
1484C2×C53—41no—
1485C2×C53—44no—
1486C2×C53—42no—
1487C2×C53—42no—
1488C2×C53—42no—
1489C2×C53C22×H(5,𝔽2)11yescharacteristic
1490C2×C53C22×H(5,𝔽2)11yescharacteristic
1491C2×C53C2×#58511yescharacteristic
1492D53—22no—
1493D53—22no—
1494D53—22no—
1495D53—41no—
1496D53—44no—
1497D53—42no—
1498C2×H(5,𝔽2)—531no—
1499C2×H(5,𝔽2)—534no—
1500C2×H(5,𝔽2)C2×D5311yescharacteristic, complemented
1501C22×#41—531no—
1502C22×#41C2×D5311yescharacteristic, complemented
1503C23×D4—531no—
1504C23×D4—532no—
1505C24×C4—531no—
1506#562—534no—
1507#562—534no—
1508#562—534no—
1509#562—534no—
1510#560—534no—
1511#560—534no—
1512#560—534no—
1513#560—534no—
1514#555—532no—
1515#555—532no—
1516#555—532no—
1517#555—532no—
1518#554—532no—
1519#554—532no—
1520#554—532no—
1521#554—532no—
1522#553—534no—
1523#553—532no—
1524#553—532no—
1525#553—534no—
1526#553—532no—
1527#553—532no—
1528#553—532no—
1529#553—532no—
1530#553—532no—
1531#553—532no—
1532#553—534no—
1533#553—532no—
1534#553—534no—
1535#553—532no—
1536#553—532no—
1537#553—532no—
1538#552—532no—
1539#552—532no—
1540#552—532no—
1541#552—532no—
1542#551—534no—
1543#551—534no—
1544#551—534no—
1545#551—534no—
1546#551—534no—
1547#551—534no—
1548#551—534no—
1549#551—534no—
1550#550—532no—
1551#550—532no—
1552#550—532no—
1553#550C2×D5312yescomplemented
1554#548—532no—
1555#548—532no—
1556#548—532no—
1557#548C2×D5312yescomplemented
1558#547—532no—
1559#547—532no—
1560#547—532no—
1561#547—532no—
1562#547—532no—
1563#547—532no—
1564#547—532no—
1565#547—532no—
1566#546—534no—
1567#546—532no—
1568#546—532no—
1569#546—532no—
1570#546—532no—
1571#546—532no—
1572#546—534no—
1573#546—534no—
1574#546—532no—
1575#546—534no—
1576#546—532no—
1577#546—532no—
1578#546—532no—
1579#546—534no—
1580#546—532no—
1581#546—534no—
1582#546—532no—
1583#546—534no—
1584#546—534no—
1585#546—534no—
1586#546—534no—
1587#546—534no—
1588#546—534no—
1589#546—534no—
1590#546—534no—
1591#546—534no—
1592#546—534no—
1593#546—534no—
1594#546—534no—
1595#546—534no—
1596#546C2×D5314yescomplemented
1597#546C2×D5312yescomplemented
1598D42—534no—
1599D42—534no—
1600D42—532no—
1601D42—532no—
1602D42—534no—
1603D42—532no—
1604D42—532no—
1605D42—532no—
1606D42—532no—
1607D42—532no—
1608D42—532no—
1609D42—534no—
1610D42—534no—
1611D42—532no—
1612D42—532no—
1613D42—532no—
1614D42—534no—
1615D42—534no—
1616D42C2×D5314yescomplemented
1617D42C2×D5312yescomplemented
1618#544—531no—
1619#544—531no—
1620#543—534no—
1621#542—532no—
1622#542—532no—
1623#542—532no—
1624#542—532no—
1625#540—532no—
1626#540—534no—
1627#540—534no—
1628#540—532no—
1629#540—532no—
1630#540—534no—
1631#540—534no—
1632#540—532no—
1633#539—534no—
1634#539—534no—
1635#539—534no—
1636#539—534no—
1637#538—534no—
1638#538—534no—
1639#538—534no—
1640#538—534no—
1641#538—534no—
1642#538—534no—
1643#538—534no—
1644#538—534no—
1645#538—534no—
1646#538—534no—
1647#537—531no—
1648#537—532no—
1649#537—532no—
1650#537—532no—
1651#537—534no—
1652#537—534no—
1653#537C2×D5311yescharacteristic, complemented
1654#537C2×D5312yescomplemented
1655#535—531no—
1656#535—531no—
1657#535—532no—
1658#535—531no—
1659#535—532no—
1660#535—534no—
1661#535—534no—
1662#535—532no—
1663#535C2×D5311yescharacteristic, complemented
1664#535C2×D5312yescomplemented
1665#534—534no—
1666#534—534no—
1667#534—534no—
1668#534—534no—
1669#534—534no—
1670#534—534no—
1671#534—534no—
1672#534—534no—
1673#534—534no—
1674#532—532no—
1675#532—532no—
1676#532—532no—
1677#532—532no—
1678#529—532no—
1679#529—532no—
1680#529—532no—
1681#529—532no—
1682#525—531no—
1683#525—531no—
1684#525—531no—
1685#525—531no—
1686#525—531no—
1687#525—532no—
1688#525—532no—
1689#525—531no—
1690#525—531no—
1691#525—532no—
1692#525—532no—
1693#525—531no—
1694#525—531no—
1695#525—532no—
1696#525—531no—
1697#525—532no—
1698#525—532no—
1699#525—531no—
1700#525—531no—
1701#525—532no—
1702#525—534no—
1703#525—531no—
1704#525—531no—
1705#525—532no—
1706#525—534no—
1707#525—532no—
1708#525—532no—
1709#525—531no—
1710#525C2×D5311yescharacteristic, complemented
1711#525C2×D5312yescomplemented
1712C2×#123—532no—
1713C2×#123—532no—
1714C2×C22⋊Q8—531no—
1715C2×C22⋊Q8—531no—
1716C2×C22⋊Q8—531no—
1717C2×C22⋊Q8—531no—
1718C2×#121—531no—
1719C2×#121—532no—
1720C2×#121—531no—
1721C2×#121—531no—
1722C2×#121—532no—
1723C2×#121—531no—
1724C2×#121—532no—
1725C2×#121—532no—
1726C2×#121—532no—
1727C2×#121—532no—
1728C2×#121—532no—
1729C2×#121—532no—
1730C2×#121—532no—
1731C2×#121—532no—
1732C2×#121—532no—
1733C2×#121—531no—
1734C2×#121—531no—
1735C2×#121—532no—
1736C2×#121—531no—
1737C2×#121—532no—
1738C2×#121C2×D5311yescharacteristic, complemented
1739C2×#121C2×D5312yescomplemented
1740C2×#120—532no—
1741C2×#120—534no—
1742C2×#120—532no—
1743C2×#120—534no—
1744#520—531no—
1745#520—531no—
1746#520—531no—
1747#520C2×D5311yescharacteristic, complemented
1748#518—531no—
1749#518—534no—
1750#518—534no—
1751#518—531no—
1752#518—534no—
1753C2×C4×D4—532no—
1754C2×C4×D4—532no—
1755C2×C4×D4—532no—
1756C2×C4×D4—532no—
1757C2×#117—531no—
1758C2×#117—531no—
1759C22×C4⋊C4—531no—
1760C22×C22⋊C4—532no—
1761C53#6281811yescharacteristic, complemented, Sylow
1762C25—531no—
1763C25—532no—
1764H(5,𝔽2)—44no—
1765H(5,𝔽2)—21216no—
1766H(5,𝔽2)—2124no—
1767C2×#41—44no—
1768C2×#41—531no—
1769C2×#41—532no—
1770C2×#41—532no—
1771C2×#41—531no—
1772C2×#41—534no—
1773C2×#41—534no—
1774C2×#41—534no—
1775C2×#41—534no—
1776C2×#41—531no—
1777C2×#41—532no—
1778C2×#41—534no—
1779C2×#41—532no—
1780C2×#41—534no—
1781C2×#41—2124no—
1782C2×#41C22×D5311yescharacteristic
1783C2×#41C22×D5311yescharacteristic
1784C2×#41C22×D5311yescharacteristic
1785C2×#41C22×D5312yes—
1786C2×#41C22×D5312yescomplemented
1787C2×#41C22×D5311yescharacteristic, complemented
1788C2×#41C22×D5311yescharacteristic, complemented
1789C2×#41C22×D5312yescomplemented
1790C2×#41C22×D5312yescomplemented
1791C22×Q8—531no—
1792C22×Q8C22×D5311yescharacteristic, complemented
1793C22×D4—532no—
1794C22×D4—532no—
1795C22×D4—534no—
1796C22×D4—534no—
1797C22×D4—532no—
1798C22×D4—532no—
1799C22×D4—532no—
1800C22×D4—534no—
1801C22×D4—534no—
1802C22×D4—532no—
1803C22×D4—534no—
1804C22×D4—532no—
1805C22×D4—534no—
1806C22×D4—532no—
1807C22×D4—534no—
1808C22×D4—534no—
1809C22×D4—534no—
1810C22×D4—531no—
1811C22×D4—532no—
1812C22×D4—532no—
1813C22×D4—532no—
1814C22×D4—532no—
1815C22×D4—534no—
1816C22×D4—534no—
1817C22×D4—534no—
1818C22×D4—532no—
1819C22×D4—531no—
1820C22×D4—532no—
1821C22×D4—532no—
1822C22×D4—2124no—
1823C22×D4—2128no—
1824C22×D4C22×D5311yescharacteristic
1825C22×D4C22×D5312yes—
1826C22×D4C22×D5314yes—
1827C22×D4C22×D5312yes—
1828C22×D4C22×D5311yescharacteristic, complemented
1829C22×D4C22×D5312yescomplemented
1830C22×D4C22×D5314yescomplemented
1831C22×D4C22×D5312yescomplemented
1832C23×C4—531no—
1833C23×C4—531no—
1834C23×C4—531no—
1835C23×C4—531no—
1836C23×C4—532no—
1837C23×C4—531no—
1838C23×C4—531no—
1839C23×C4—531no—
1840C23×C4—531no—
1841C23×C4—532no—
1842C23×C4—531no—
1843C23×C4—531no—
1844C23×C4—531no—
1845C23×C4—531no—
1846C23×C4—531no—
1847C23×C4—2124no—
1848C23×C4C22×D5311yescharacteristic
1849C23×C4C22×D5312yescomplemented
1850C4⋊Q8—532no—
1851C4⋊Q8—532no—
1852C4⋊Q8—532no—
1853C4⋊Q8—532no—
1854#127—532no—
1855#127—532no—
1856#127—532no—
1857#127—534no—
1858#127—534no—
1859#127—534no—
1860#127C22×D5312yescomplemented
1861#127C22×D5314yescomplemented
1862#126—534no—
1863#126—534no—
1864#126—534no—
1865#126—534no—
1866#126—534no—
1867#126—534no—
1868#126—534no—
1869#126—534no—
1870#126—534no—
1871#126—534no—
1872#126—534no—
1873#126—534no—
1874#125—532no—
1875#125—532no—
1876#125—532no—
1877#125—534no—
1878#125—534no—
1879#125—534no—
1880#125—532no—
1881#125—534no—
1882#124—532no—
1883#124—532no—
1884#124—534no—
1885#124—532no—
1886#124—534no—
1887#124—534no—
1888#124—534no—
1889#124—534no—
1890#124—534no—
1891#124—534no—
1892#124—534no—
1893#124—534no—
1894#124—534no—
1895#124—534no—
1896#124C22×D5312yescomplemented
1897#124C22×D5314yescomplemented
1898#123—532no—
1899#123—532no—
1900#123—532no—
1901#123—532no—
1902#123—532no—
1903#123—532no—
1904#123—532no—
1905#123—532no—
1906#123—532no—
1907#123—534no—
1908#123—534no—
1909#123—534no—
1910#123—534no—
1911#123—534no—
1912#123—534no—
1913#123—534no—
1914#123—532no—
1915#123—534no—
1916#123—534no—
1917#123—534no—
1918#123—534no—
1919#123—534no—
1920#123—532no—
1921#123—532no—
1922#123—534no—
1923#123—534no—
1924#123—534no—
1925#123—534no—
1926#123—532no—
1927#123—532no—
1928#123—532no—
1929#123—534no—
1930#123—534no—
1931#123—534no—
1932#123—534no—
1933#123—534no—
1934#123—534no—
1935#123—534no—
1936#123—534no—
1937#123—534no—
1938#123—534no—
1939#123—534no—
1940#123—534no—
1941#123—534no—
1942#123—534no—
1943#123—534no—
1944#123C22×D5312yes—
1945#123C22×D5314yescomplemented
1946C22⋊Q8—531no—
1947C22⋊Q8—531no—
1948C22⋊Q8—531no—
1949C22⋊Q8—531no—
1950C22⋊Q8—532no—
1951C22⋊Q8—532no—
1952C22⋊Q8—531no—
1953C22⋊Q8—531no—
1954C22⋊Q8—531no—
1955C22⋊Q8—531no—
1956C22⋊Q8—531no—
1957C22⋊Q8—531no—
1958C22⋊Q8—532no—
1959C22⋊Q8—532no—
1960C22⋊Q8—532no—
1961C22⋊Q8—534no—
1962C22⋊Q8—531no—
1963C22⋊Q8—531no—
1964C22⋊Q8—532no—
1965C22⋊Q8—534no—
1966C22⋊Q8—534no—
1967C22⋊Q8—534no—
1968C22⋊Q8—532no—
1969C22⋊Q8—531no—
1970C22⋊Q8—531no—
1971C22⋊Q8—532no—
1972C22⋊Q8—534no—
1973C22⋊Q8—534no—
1974C22⋊Q8—534no—
1975C22⋊Q8—534no—
1976C22⋊Q8—534no—
1977C22⋊Q8—534no—
1978C22⋊Q8—532no—
1979C22⋊Q8—532no—
1980C22⋊Q8—534no—
1981C22⋊Q8—534no—
1982C22⋊Q8—534no—
1983C22⋊Q8—534no—
1984C22⋊Q8—534no—
1985C22⋊Q8C22×D5311yescharacteristic, complemented
1986C22⋊Q8C22×D5311yescharacteristic, complemented
1987C22⋊Q8C22×D5312yescomplemented
1988C22⋊Q8C22×D5312yescomplemented
1989C22⋊Q8C22×D5314yescomplemented
1990#121—532no—
1991#121—531no—
1992#121—531no—
1993#121—534no—
1994#121—532no—
1995#121—534no—
1996#121—532no—
1997#121—534no—
1998#121—532no—
1999#121—534no—
2000#121—532no—
2001#121—532no—
2002#121—532no—
2003#121—531no—
2004#121—531no—
2005#121—531no—
2006#121—531no—
2007#121—531no—
2008#121—531no—
2009#121—531no—
2010#121—531no—
2011#121—532no—
2012#121—532no—
2013#121—532no—
2014#121—534no—
2015#121—532no—
2016#121—532no—
2017#121—534no—
2018#121—534no—
2019#121—534no—
2020#121—532no—
2021#121—534no—
2022#121—534no—
2023#121—534no—
2024#121—534no—
2025#121—534no—
2026#121—534no—
2027#121—534no—
2028#121—534no—
2029#121—534no—
2030#121—534no—
2031#121—534no—
2032#121—534no—
2033#121—534no—
2034#121—534no—
2035#121—534no—
2036#121—534no—
2037#121—534no—
2038#121—534no—
2039#121—534no—
2040#121—534no—
2041#121—534no—
2042#121—532no—
2043#121—531no—
2044#121—532no—
2045#121—532no—
2046#121—532no—
2047#121—531no—
2048#121—534no—
2049#121—532no—
2050#121—532no—
2051#121—532no—
2052#121—534no—
2053#121—532no—
2054#121—532no—
2055#121—534no—
2056#121—534no—
2057#121—532no—
2058#121—532no—
2059#121—532no—
2060#121—532no—
2061#121—531no—
2062#121—531no—
2063#121—534no—
2064#121—534no—
2065#121—534no—
2066#121—534no—
2067#121—534no—
2068#121—532no—
2069#121—532no—
2070#121—534no—
2071#121—534no—
2072#121—534no—
2073#121—534no—
2074#121—534no—
2075#121—534no—
2076#121—534no—
2077#121—534no—
2078#121C22×D5312yes—
2079#121C22×D5312yes—
2080#121C22×D5312yes—
2081#121C22×D5312yes—
2082#121C22×D5314yes—
2083#121C22×D5311yescharacteristic, complemented
2084#121C22×D5311yescharacteristic, complemented
2085#121C22×D5312yescomplemented
2086#121C22×D5314yescomplemented
2087#121C22×D5312yescomplemented
2088#121C22×D5312yescomplemented
2089#121C22×D5314yescomplemented
2090#121C22×D5312yescomplemented
2091#121C22×D5314yescomplemented
2092#121C22×D5314yescomplemented
2093#121C22×D5314yescomplemented
2094#120—532no—
2095#120—534no—
2096#120—534no—
2097#120—534no—
2098#120—534no—
2099#120—534no—
2100#120—534no—
2101#120—532no—
2102#120—532no—
2103#120—532no—
2104#120—532no—
2105#120—532no—
2106#120—532no—
2107#120—532no—
2108#120—532no—
2109#120—532no—
2110#120—532no—
2111#120—532no—
2112#120—534no—
2113#120—534no—
2114#120—534no—
2115#120—534no—
2116#120—534no—
2117#120—534no—
2118#120—534no—
2119#120—534no—
2120#120—534no—
2121#120—534no—
2122#120—534no—
2123#120—534no—
2124#120—534no—
2125#120—534no—
2126#120—532no—
2127#120—532no—
2128#120—532no—
2129#120—534no—
2130#120—534no—
2131#120—534no—
2132#120—534no—
2133#120C22×D5312yes—
2134#120C22×D5314yes—
2135#120C22×D5314yescomplemented
2136#120C22×D5314yescomplemented
2137#120C22×D5314yescomplemented
2138C4×Q8—532no—
2139C4×Q8—532no—
2140C4×Q8—532no—
2141C4×Q8C22×D5312yescomplemented
2142C4×D4—532no—
2143C4×D4—532no—
2144C4×D4—534no—
2145C4×D4—532no—
2146C4×D4—532no—
2147C4×D4—534no—
2148C4×D4—532no—
2149C4×D4—532no—
2150C4×D4—534no—
2151C4×D4—534no—
2152C4×D4—532no—
2153C4×D4—532no—
2154C4×D4—532no—
2155C4×D4—532no—
2156C4×D4—532no—
2157C4×D4—532no—
2158C4×D4—532no—
2159C4×D4—532no—
2160C4×D4—532no—
2161C4×D4—532no—
2162C4×D4—532no—
2163C4×D4—532no—
2164C4×D4—532no—
2165C4×D4—532no—
2166C4×D4—532no—
2167C4×D4—532no—
2168C4×D4—532no—
2169C4×D4—532no—
2170C4×D4—532no—
2171C4×D4—532no—
2172C4×D4—532no—
2173C4×D4—532no—
2174C4×D4—534no—
2175C4×D4—534no—
2176C4×D4—534no—
2177C4×D4—534no—
2178C4×D4—534no—
2179C4×D4—534no—
2180C4×D4—534no—
2181C4×D4—532no—
2182C4×D4—532no—
2183C4×D4—534no—
2184C4×D4—532no—
2185C4×D4—532no—
2186C4×D4—532no—
2187C4×D4—532no—
2188C4×D4—532no—
2189C4×D4—532no—
2190C4×D4—532no—
2191C4×D4—534no—
2192C4×D4—534no—
2193C4×D4—534no—
2194C4×D4—534no—
2195C4×D4—534no—
2196C4×D4—534no—
2197C4×D4—534no—
2198C4×D4—532no—
2199C4×D4—532no—
2200C4×D4—534no—
2201C4×D4—534no—
2202C4×D4—532no—
2203C4×D4—532no—
2204C4×D4C22×D5314yes—
2205C4×D4C22×D5312yescomplemented
2206C4×D4C22×D5312yescomplemented
2207C4×D4C22×D5314yescomplemented
2208C4×D4C22×D5314yescomplemented
2209C4×D4C22×D5312yescomplemented
2210#117—531no—
2211#117—531no—
2212#117—531no—
2213#117—532no—
2214#117—532no—
2215#117—531no—
2216#117—531no—
2217#117—532no—
2218#117—532no—
2219#117—531no—
2220#117—531no—
2221#117—534no—
2222#117—534no—
2223#117—532no—
2224#117—532no—
2225#117—534no—
2226#117—534no—
2227#117—532no—
2228#117—534no—
2229#117—534no—
2230#117C22×D5311yescharacteristic
2231#117C22×D5312yescomplemented
2232C2×C4⋊C4—531no—
2233C2×C4⋊C4—532no—
2234C2×C4⋊C4—531no—
2235C2×C4⋊C4—531no—
2236C2×C4⋊C4—532no—
2237C2×C4⋊C4—532no—
2238C2×C4⋊C4—532no—
2239C2×C4⋊C4—532no—
2240C2×C4⋊C4—532no—
2241C2×C4⋊C4—532no—
2242C2×C4⋊C4—532no—
2243C2×C4⋊C4—532no—
2244C2×C4⋊C4—531no—
2245C2×C4⋊C4—531no—
2246C2×C4⋊C4—532no—
2247C2×C4⋊C4—532no—
2248C2×C4⋊C4—532no—
2249C2×C4⋊C4C22×D5311yescharacteristic
2250C2×C4⋊C4C22×D5312yescomplemented
2251C2×C22⋊C4—532no—
2252C2×C22⋊C4—532no—
2253C2×C22⋊C4—532no—
2254C2×C22⋊C4—532no—
2255C2×C22⋊C4—534no—
2256C2×C22⋊C4—534no—
2257C2×C22⋊C4—532no—
2258C2×C22⋊C4—532no—
2259C2×C22⋊C4—532no—
2260C2×C22⋊C4—532no—
2261C2×C22⋊C4—534no—
2262C2×C22⋊C4—534no—
2263C2×C22⋊C4—534no—
2264C2×C22⋊C4—534no—
2265C2×C22⋊C4—534no—
2266C2×C22⋊C4—534no—
2267C2×C22⋊C4—534no—
2268C2×C22⋊C4—532no—
2269C2×C22⋊C4—532no—
2270C2×C22⋊C4—532no—
2271C2×C22⋊C4—532no—
2272C2×C22⋊C4—532no—
2273C2×C22⋊C4—534no—
2274C2×C22⋊C4—534no—
2275C2×C22⋊C4—534no—
2276C2×C22⋊C4—534no—
2277C2×C22⋊C4C22×D5312yes—
2278C2×C22⋊C4C22×D5314yescomplemented
2279C2×C42—532no—
2280C2×C42—532no—
2281C24—531no—
2282C24—531no—
2283C24—531no—
2284C24—531no—
2285C24—531no—
2286C24—534no—
2287C24—534no—
2288C24—532no—
2289C24—532no—
2290C24—531no—
2291C24—534no—
2292C24—1064no—
2293C24—2124no—
2294C24—2122no—
2295C24—2124no—
2296C24—2124no—
2297C24—2122no—
2298C24C23×D5311yescharacteristic
2299C24C23×D5312yes—
2300C24C23×D5312yes—
2301C24C23×D5314yes—
2302#41—24no—
2303#41—24no—
2304#41—24no—
2305#41—44no—
2306#41—44no—
2307#41—42no—
2308#41—42no—
2309#41—44no—
2310#41—44no—
2311#41—1064no—
2312#41—2124no—
2313#41—2124no—
2314#41—2128no—
2315#41—2128no—
2316#41—2124no—
2317#41—2128no—
2318#41—2128no—
2319#41—2122no—
2320#41—2128no—
2321#41—2128no—
2322#41—2122no—
2323#41—2124no—
2324C2×Q8—42no—
2325C2×Q8—531no—
2326C2×Q8—532no—
2327C2×Q8—534no—
2328C2×Q8—534no—
2329C2×Q8—2122no—
2330C2×Q8C23×D5311yescharacteristic
2331C2×Q8C23×D5311yescharacteristic
2332C2×Q8C23×D5311yescharacteristic
2333C2×Q8C23×D5312yes—
2334C2×D4—24no—
2335C2×D4—42no—
2336C2×D4—44no—
2337C2×D4—44no—
2338C2×D4—44no—
2339C2×D4—44no—
2340C2×D4—48no—
2341C2×D4—48no—
2342C2×D4—532no—
2343C2×D4—532no—
2344C2×D4—532no—
2345C2×D4—532no—
2346C2×D4—532no—
2347C2×D4—532no—
2348C2×D4—532no—
2349C2×D4—532no—
2350C2×D4—532no—
2351C2×D4—532no—
2352C2×D4—534no—
2353C2×D4—534no—
2354C2×D4—534no—
2355C2×D4—534no—
2356C2×D4—534no—
2357C2×D4—532no—
2358C2×D4—532no—
2359C2×D4—532no—
2360C2×D4—532no—
2361C2×D4—532no—
2362C2×D4—534no—
2363C2×D4—534no—
2364C2×D4—534no—
2365C2×D4—534no—
2366C2×D4—534no—
2367C2×D4—534no—
2368C2×D4—534no—
2369C2×D4—534no—
2370C2×D4—534no—
2371C2×D4—532no—
2372C2×D4—532no—
2373C2×D4—534no—
2374C2×D4—532no—
2375C2×D4—532no—
2376C2×D4—531no—
2377C2×D4—532no—
2378C2×D4—534no—
2379C2×D4—534no—
2380C2×D4—10616no—
2381C2×D4—1068no—
2382C2×D4—1068no—
2383C2×D4—1064no—
2384C2×D4—2124no—
2385C2×D4—2124no—
2386C2×D4—2124no—
2387C2×D4—2124no—
2388C2×D4—2124no—
2389C2×D4—2124no—
2390C2×D4—2122no—
2391C2×D4—2124no—
2392C2×D4—2128no—
2393C2×D4—2124no—
2394C2×D4—2128no—
2395C2×D4—2124no—
2396C2×D4—2128no—
2397C2×D4—2128no—
2398C2×D4—2124no—
2399C2×D4—2128no—
2400C2×D4—2128no—
2401C2×D4—2128no—
2402C2×D4—2124no—
2403C2×D4—2128no—
2404C2×D4—2124no—
2405C2×D4—2128no—
2406C2×D4—2124no—
2407C2×D4—2128no—
2408C2×D4—2128no—
2409C2×D4C23×D5312yes—
2410C2×D4C23×D5312yes—
2411C2×D4C23×D5312yes—
2412C2×D4C23×D5311yescharacteristic
2413C2×D4C23×D5312yes—
2414C2×D4C23×D5311yescharacteristic
2415C2×D4C23×D5312yes—
2416C2×D4C23×D5314yes—
2417C2×D4C23×D5312yes—
2418C2×D4C23×D5311yescharacteristic
2419C2×D4C23×D5314yes—
2420C2×D4C23×D5312yes—
2421C2×D4C23×D5312yes—
2422C2×D4C23×D5314yes—
2423C2×D4C23×D5314yes—
2424C2×D4C23×D5312yes—
2425C2×D4C23×D5312yes—
2426C2×D4C23×D5314yes—
2427C2×D4C23×D5314yes—
2428C2×D4C23×D5314yes—
2429C22×C4—24no—
2430C22×C4—44no—
2431C22×C4—532no—
2432C22×C4—531no—
2433C22×C4—531no—
2434C22×C4—532no—
2435C22×C4—531no—
2436C22×C4—532no—
2437C22×C4—531no—
2438C22×C4—534no—
2439C22×C4—532no—
2440C22×C4—534no—
2441C22×C4—534no—
2442C22×C4—534no—
2443C22×C4—531no—
2444C22×C4—531no—
2445C22×C4—531no—
2446C22×C4—532no—
2447C22×C4—534no—
2448C22×C4—531no—
2449C22×C4—531no—
2450C22×C4—531no—
2451C22×C4—531no—
2452C22×C4—531no—
2453C22×C4—532no—
2454C22×C4—531no—
2455C22×C4—531no—
2456C22×C4—532no—
2457C22×C4—531no—
2458C22×C4—531no—
2459C22×C4—531no—
2460C22×C4—531no—
2461C22×C4—531no—
2462C22×C4—532no—
2463C22×C4—534no—
2464C22×C4—531no—
2465C22×C4—534no—
2466C22×C4—532no—
2467C22×C4—534no—
2468C22×C4—534no—
2469C22×C4—534no—
2470C22×C4—531no—
2471C22×C4—531no—
2472C22×C4—1064no—
2473C22×C4—1064no—
2474C22×C4—2122no—
2475C22×C4—2122no—
2476C22×C4—2122no—
2477C22×C4—2122no—
2478C22×C4—2122no—
2479C22×C4—2122no—
2480C22×C4—2122no—
2481C22×C4—2122no—
2482C22×C4—2124no—
2483C22×C4—2122no—
2484C22×C4—2122no—
2485C22×C4—2124no—
2486C22×C4—2122no—
2487C22×C4C23×D5311yescharacteristic
2488C22×C4C23×D5311yescharacteristic
2489C22×C4C23×D5311yescharacteristic
2490C22×C4C23×D5312yes—
2491C22×C4C23×D5312yes—
2492C22×C4C23×D5312yes—
2493C22×C4C23×D5311yescharacteristic
2494C22×C4C23×D5311yescharacteristic
2495C22×C4C23×D5312yes—
2496C22×C4C23×D5312yes—
2497C22×C4C23×D5314yes—
2498C22×C4C23×D5312yes—
2499C22×C4C23×D5312yes—
2500C22×C4C23×D5314yes—
2501C22×C4C23×D5311yescharacteristic
2502C4⋊C4—532no—
2503C4⋊C4—532no—
2504C4⋊C4—531no—
2505C4⋊C4—531no—
2506C4⋊C4—531no—
2507C4⋊C4—534no—
2508C4⋊C4—534no—
2509C4⋊C4—531no—
2510C4⋊C4—531no—
2511C4⋊C4—531no—
2512C4⋊C4—532no—
2513C4⋊C4—532no—
2514C4⋊C4—532no—
2515C4⋊C4—532no—
2516C4⋊C4—532no—
2517C4⋊C4—532no—
2518C4⋊C4—532no—
2519C4⋊C4—532no—
2520C4⋊C4—532no—
2521C4⋊C4—532no—
2522C4⋊C4—532no—
2523C4⋊C4—532no—
2524C4⋊C4—532no—
2525C4⋊C4—532no—
2526C4⋊C4—532no—
2527C4⋊C4—532no—
2528C4⋊C4—532no—
2529C4⋊C4—532no—
2530C4⋊C4—534no—
2531C4⋊C4—534no—
2532C4⋊C4—534no—
2533C4⋊C4—534no—
2534C4⋊C4—534no—
2535C4⋊C4—534no—
2536C4⋊C4—534no—
2537C4⋊C4—534no—
2538C4⋊C4—534no—
2539C4⋊C4—534no—
2540C4⋊C4C23×D5312yes—
2541C4⋊C4C23×D5312yes—
2542C4⋊C4C23×D5311yescharacteristic
2543C4⋊C4C23×D5312yes—
2544C4⋊C4C23×D5311yescharacteristic
2545C4⋊C4C23×D5312yes—
2546C4⋊C4C23×D5314yes—
2547C4⋊C4C23×D5314yes—
2548C22⋊C4—534no—
2549C22⋊C4—532no—
2550C22⋊C4—532no—
2551C22⋊C4—532no—
2552C22⋊C4—532no—
2553C22⋊C4—532no—
2554C22⋊C4—534no—
2555C22⋊C4—534no—
2556C22⋊C4—532no—
2557C22⋊C4—532no—
2558C22⋊C4—532no—
2559C22⋊C4—534no—
2560C22⋊C4—534no—
2561C22⋊C4—534no—
2562C22⋊C4—534no—
2563C22⋊C4—532no—
2564C22⋊C4—532no—
2565C22⋊C4—532no—
2566C22⋊C4—532no—
2567C22⋊C4—532no—
2568C22⋊C4—532no—
2569C22⋊C4—532no—
2570C22⋊C4—532no—
2571C22⋊C4—532no—
2572C22⋊C4—534no—
2573C22⋊C4—534no—
2574C22⋊C4—534no—
2575C22⋊C4—534no—
2576C22⋊C4—532no—
2577C22⋊C4—532no—
2578C22⋊C4—532no—
2579C22⋊C4—532no—
2580C22⋊C4—532no—
2581C22⋊C4—532no—
2582C22⋊C4—532no—
2583C22⋊C4—532no—
2584C22⋊C4—532no—
2585C22⋊C4—534no—
2586C22⋊C4—534no—
2587C22⋊C4—534no—
2588C22⋊C4—534no—
2589C22⋊C4—532no—
2590C22⋊C4—532no—
2591C22⋊C4—532no—
2592C22⋊C4—532no—
2593C22⋊C4—534no—
2594C22⋊C4—534no—
2595C22⋊C4—534no—
2596C22⋊C4—534no—
2597C22⋊C4—534no—
2598C22⋊C4—532no—
2599C22⋊C4—532no—
2600C22⋊C4—532no—
2601C22⋊C4—532no—
2602C22⋊C4—532no—
2603C22⋊C4—534no—
2604C22⋊C4C23×D5312yes—
2605C22⋊C4C23×D5314yes—
2606C22⋊C4C23×D5314yes—
2607C22⋊C4C23×D5312yes—
2608C22⋊C4C23×D5314yes—
2609C22⋊C4C23×D5312yes—
2610C22⋊C4C23×D5314yes—
2611C22⋊C4C23×D5312yes—
2612C22⋊C4C23×D5314yes—
2613C22⋊C4C23×D5312yes—
2614C22⋊C4C23×D5314yes—
2615C22⋊C4C23×D5314yes—
2616C42—532no—
2617C42—532no—
2618C42—532no—
2619C42—532no—
2620C42—532no—
2621C42—532no—
2622C42—532no—
2623C42—534no—
2624C42—534no—
2625C42—534no—
2626C42C23×D5312yes—
2627C42C23×D5314yes—
2628C23—22no—
2629C23—22no—
2630C23—24no—
2631C23—24no—
2632C23—41no—
2633C23—42no—
2634C23—42no—
2635C23—42no—
2636C23—42no—
2637C23—44no—
2638C23—44no—
2639C23—44no—
2640C23—531no—
2641C23—531no—
2642C23—531no—
2643C23—534no—
2644C23—534no—
2645C23—532no—
2646C23—531no—
2647C23—1062no—
2648C23—1062no—
2649C23—1064no—
2650C23—1068no—
2651C23—1068no—
2652C23—1062no—
2653C23—1062no—
2654C23—1062no—
2655C23—1062no—
2656C23—1062no—
2657C23—1062no—
2658C23—1064no—
2659C23—1062no—
2660C23—1062no—
2661C23—42416no—
2662C23—2124no—
2663C23—2124no—
2664C23—2124no—
2665C23—2122no—
2666C23—2122no—
2667C23—2124no—
2668C23—2124no—
2669C23—2124no—
2670C23—2122no—
2671C23—2122no—
2672C23—2124no—
2673C23—2121no—
2674C23—2121no—
2675C23—2121no—
2676C23—2121no—
2677C23—2121no—
2678C23—2121no—
2679C23—2121no—
2680C23—21216no—
2681C23C24×D5314yes—
2682C23C24×D5312yes—
2683C23C24×D5311yescharacteristic
2684C23C24×D5312yes—
2685C23C24×D5312yes—
2686C23C24×D5311yescharacteristic
2687C23C24×D5311yescharacteristic
2688Q8—22no—
2689Q8—22no—
2690Q8—22no—
2691Q8—42no—
2692Q8—1062no—
2693Q8—2122no—
2694Q8—2124no—
2695Q8—2124no—
2696D4—28no—
2697D4—24no—
2698D4—24no—
2699D4—24no—
2700D4—24no—
2701D4—24no—
2702D4—24no—
2703D4—22no—
2704D4—22no—
2705D4—22no—
2706D4—44no—
2707D4—44no—
2708D4—44no—
2709D4—44no—
2710D4—44no—
2711D4—42no—
2712D4—42no—
2713D4—42no—
2714D4—44no—
2715D4—42no—
2716D4—1068no—
2717D4—1064no—
2718D4—1064no—
2719D4—1068no—
2720D4—1064no—
2721D4—1064no—
2722D4—1064no—
2723D4—1064no—
2724D4—1064no—
2725D4—1064no—
2726D4—1064no—
2727D4—1064no—
2728D4—1068no—
2729D4—1064no—
2730D4—1064no—
2731D4—1064no—
2732D4—1064no—
2733D4—1062no—
2734D4—2124no—
2735D4—2124no—
2736D4—2122no—
2737D4—2124no—
2738D4—2122no—
2739D4—2122no—
2740D4—2124no—
2741D4—2124no—
2742D4—2122no—
2743D4—2124no—
2744D4—2124no—
2745D4—2124no—
2746D4—2124no—
2747D4—2124no—
2748D4—2124no—
2749D4—2124no—
2750D4—2124no—
2751D4—2124no—
2752D4—2122no—
2753D4—2122no—
2754C2×C4—22no—
2755C2×C4—22no—
2756C2×C4—22no—
2757C2×C4—22no—
2758C2×C4—22no—
2759C2×C4—24no—
2760C2×C4—24no—
2761C2×C4—24no—
2762C2×C4—42no—
2763C2×C4—42no—
2764C2×C4—42no—
2765C2×C4—42no—
2766C2×C4—44no—
2767C2×C4—44no—
2768C2×C4—532no—
2769C2×C4—532no—
2770C2×C4—532no—
2771C2×C4—531no—
2772C2×C4—532no—
2773C2×C4—532no—
2774C2×C4—532no—
2775C2×C4—532no—
2776C2×C4—534no—
2777C2×C4—531no—
2778C2×C4—531no—
2779C2×C4—531no—
2780C2×C4—1068no—
2781C2×C4—1064no—
2782C2×C4—1064no—
2783C2×C4—1062no—
2784C2×C4—1062no—
2785C2×C4—1062no—
2786C2×C4—1062no—
2787C2×C4—1062no—
2788C2×C4—1062no—
2789C2×C4—1062no—
2790C2×C4—1062no—
2791C2×C4—1062no—
2792C2×C4—1062no—
2793C2×C4—1064no—
2794C2×C4—2121no—
2795C2×C4—2121no—
2796C2×C4—2121no—
2797C2×C4—2121no—
2798C2×C4—2121no—
2799C2×C4—2121no—
2800C2×C4—2121no—
2801C2×C4—2121no—
2802C2×C4—2124no—
2803C2×C4—2122no—
2804C2×C4—2122no—
2805C2×C4—2122no—
2806C2×C4—2124no—
2807C2×C4—2124no—
2808C2×C4—2124no—
2809C2×C4—2124no—
2810C2×C4—2121no—
2811C2×C4—2121no—
2812C2×C4—2121no—
2813C2×C4—2121no—
2814C2×C4—2122no—
2815C2×C4—2122no—
2816C2×C4—2122no—
2817C2×C4—2124no—
2818C2×C4—2124no—
2819C2×C4—2124no—
2820C2×C4—2124no—
2821C2×C4#1313326214yescomplemented
2822C2×C4C24×D5311yescharacteristic
2823C2×C4C24×D5312yes—
2824C2×C4C24×D5312yes—
2825C2×C4C24×D5312yes—
2826C2×C4C24×D5312yes—
2827C2×C4C24×D5314yes—
2828C2×C4C24×D5312yes—
2829C2×C4C24×D5311yescharacteristic
2830C2×C4C24×D5311yescharacteristic
2831C2×C4C24×D5311yescharacteristic
2832C22—21no—
2833C22—21no—
2834C22—21no—
2835C22—21no—
2836C22—22no—
2837C22—22no—
2838C22—22no—
2839C22—24no—
2840C22—21no—
2841C22—21no—
2842C22—22no—
2843C22—22no—
2844C22—22no—
2845C22—24no—
2846C22—24no—
2847C22—22no—
2848C22—21no—
2849C22—22no—
2850C22—22no—
2851C22—44no—
2852C22—84no—
2853C22—84no—
2854C22—164no—
2855C22—532no—
2856C22—532no—
2857C22—532no—
2858C22—8484no—
2859C22—1068no—
2860C22—1061no—
2861C22—1061no—
2862C22—1061no—
2863C22—1061no—
2864C22—1061no—
2865C22—1061no—
2866C22—1062no—
2867C22—1064no—
2868C22—1061no—
2869C22—1061no—
2870C22—1062no—
2871C22—1064no—
2872C22—1064no—
2873C22—1062no—
2874C22—1061no—
2875C22—4244no—
2876C22—4248no—
2877C22—4248no—
2878C22—4244no—
2879C22—2124no—
2880C22—2124no—
2881C22—2124no—
2882C22—2124no—
2883C22—2124no—
2884C22H(5,𝔽2)×D5312yes—
2885C22C2×#1313326212yes—
2886C22C25×D5311yescharacteristic
2887C4—24no—
2888C4—22no—
2889C4—21no—
2890C4—21no—
2891C4—22no—
2892C4—22no—
2893C4—22no—
2894C4—22no—
2895C4—1064no—
2896C4—1062no—
2897C4—1062no—
2898C4—1062no—
2899C4—1061no—
2900C4—1061no—
2901C4—1061no—
2902C4—1061no—
2903C4—1062no—
2904C4—1062no—
2905C4—1062no—
2906C4—1062no—
2907C4C2×#1313326212yes—
2908C4C2×#1313326212yes—
2909C2—22no—
2910C2—22no—
2911C2—41no—
2912C2—42no—
2913C2—44no—
2914C2—42no—
2915C2—42no—
2916C2—1062no—
2917C2—1062no—
2918C2—1062no—
2919C2—2122no—
2920C2—2124no—
2921C2—2121no—
2922C2C2×H(5,𝔽2)×D5311yescharacteristic
2923C2C22×#1313326211yescharacteristic
2924C2#585×D5311yescharacteristic
subgroupG/H
center, FrattiniC22C25×D53
commutator, socle, cosocleC22×C53C26
FittingC53×#3488C2
hypercenter#3488D53
hypocenterC53#62818
LCSG ▷ C22×C53 ▷ C53
UCSC1 ◁ C22 ◁ #3488

Complements

Splittings G = N ⋊ H with N normal; H ≅ G/N.

NH ≅ G/Ntype
1. #20289033C2semidirect
2. #20289029C2semidirect
3. #20289021C2semidirect
4. #20289019C2semidirect
5. #20288948C2semidirect
6. #20288946C2semidirect
7. #20288933C2semidirect
8. #20288931C2semidirect
9. #20288897C2semidirect
10. #20288893C2semidirect
11. #20288746C2semidirect
12. #20288744C2semidirect
13. #20288741C2semidirect
14. #20288735C2semidirect
15. #20288551C2semidirect
16. #20288543C2semidirect
17. #20288472C2semidirect
18. #20288471C2semidirect
19. #20288452C2semidirect
20. #20288451C2semidirect
21. #20288447C2semidirect
22. #20288444C2semidirect
23. #20288422C2semidirect
24. #20288418C2semidirect
25. #20288397C2semidirect
26. #20288384C2semidirect
27. #20288379C2semidirect
28. #20288377C2semidirect
29. #20288349C2semidirect
30. #20288346C2semidirect
31. #20288343C2semidirect
32. C2×#16811130C2semidirect
33. #525×D53C2semidirect
34. C2×#121×D53C2semidirect
35. C53×#3488C2semidirect
36. C2×#13133263C22semidirect
37. C2×#13133262C22semidirect
38. C2×#41×D53C22semidirect
39. C22×D4×D53C22semidirect
40. C22×D4×D53C22semidirect
41. C23×C4×D53C22semidirect
42. #16811369C22semidirect
43. #16811368C22semidirect
44. #16811368C22semidirect
45. #16811367C22semidirect
46. #16811362C22semidirect
47. #16811362C22semidirect
48. #16811361C22semidirect
49. #16811360C22semidirect
50. #16811338C22semidirect
51. #16811337C22semidirect
52. #16811337C22semidirect
53. #16811336C22semidirect
54. #16811333C22semidirect
55. #16811331C22semidirect
56. #16811331C22semidirect
57. #16811328C22semidirect
58. #16811325C22semidirect
59. #16811325C22semidirect
60. #16811323C22semidirect
61. #16811323C22semidirect
62. #16811322C22semidirect
63. #16811321C22semidirect
64. #16811320C22semidirect
65. #16811320C22semidirect
66. #16811320C22semidirect
67. #16811320C22semidirect
68. #16811319C22semidirect
69. #16811319C22semidirect
70. #16811318C22semidirect
71. #16811317C22semidirect
72. #16811317C22semidirect
73. #16811316C22semidirect
74. #16811314C22semidirect
75. #16811312C22semidirect
76. #16811307C22semidirect
77. #16811307C22semidirect
78. #16811304C22semidirect
79. #16811303C22semidirect
80. #16811302C22semidirect
81. #16811302C22semidirect
82. #16811301C22semidirect
83. #16811300C22semidirect
84. #16811299C22semidirect
85. #16811296C22semidirect
86. #16811292C22semidirect
87. #16811292C22semidirect
88. #16811291C22semidirect
89. #16811284C22semidirect
90. #16811283C22semidirect
91. #16811280C22semidirect
92. #16811278C22semidirect
93. #16811277C22semidirect
94. #16811274C22semidirect
95. #16811274C22semidirect
96. #16811273C22semidirect
97. #16811273C22semidirect
98. #16811273C22semidirect
99. #16811273C22semidirect
100. #16811270C22semidirect
101. #16811270C22semidirect
102. #16811270C22semidirect
103. #16811270C22semidirect
104. #16811269C22semidirect
105. #16811268C22semidirect
106. #16811267C22semidirect
107. #16811267C22semidirect
108. #16811267C22semidirect
109. #16811267C22semidirect
110. #16811266C22semidirect
111. #16811266C22semidirect
112. #16811264C22semidirect
113. #16811263C22semidirect
114. #16811263C22semidirect
115. #16811262C22semidirect
116. #16811262C22semidirect
117. #16811262C22semidirect
118. #16811262C22semidirect
119. #16811262C22semidirect
120. #16811261C22semidirect
121. #16811261C22semidirect
122. #16811261C22semidirect
123. #16811261C22semidirect
124. #16811261C22semidirect
125. #16811261C22semidirect
126. #16811260C22semidirect
127. #16811260C22semidirect
128. #16811260C22semidirect
129. #16811260C22semidirect
130. #16811258C22semidirect
131. #16811258C22semidirect
132. #16811258C22semidirect
133. #16811257C22semidirect
134. #16811257C22semidirect
135. #16811257C22semidirect
136. #16811257C22semidirect
137. D4×C22⋊D53C22semidirect
138. D4×C22⋊D53C22semidirect
139. D4×C22⋊D53C22semidirect
140. D4×C22⋊D53C22semidirect
141. D4×C22⋊D53C22semidirect
142. D4×C22⋊D53C22semidirect
143. D4×C22⋊D53C22semidirect
144. D4×C22⋊D53C22semidirect
145. D4×C22⋊D53C22semidirect
146. #16811255C22semidirect
147. #16811255C22semidirect
148. #16811254C22semidirect
149. #16811251C22semidirect
150. #16811248C22semidirect
151. #16811246C22semidirect
152. #16811245C22semidirect
153. #16811242C22semidirect
154. #16811240C22semidirect
155. #16811227C22semidirect
156. #16811227C22semidirect
157. #16811226C22semidirect
158. #16811226C22semidirect
159. #16811225C22semidirect
160. #16811224C22semidirect
161. #16811223C22semidirect
162. #16811223C22semidirect
163. #16811219C22semidirect
164. #16811218C22semidirect
165. #16811215C22semidirect
166. #16811215C22semidirect
167. #16811211C22semidirect
168. #16811209C22semidirect
169. #16811208C22semidirect
170. #16811208C22semidirect
171. #16811207C22semidirect
172. #16811207C22semidirect
173. #16811206C22semidirect
174. #16811205C22semidirect
175. #16811205C22semidirect
176. #16811205C22semidirect
177. #16811203C22semidirect
178. #16811202C22semidirect
179. #16811201C22semidirect
180. #16811201C22semidirect
181. #16811201C22semidirect
182. #16811200C22semidirect
183. #16811190C22semidirect
184. #16811190C22semidirect
185. #16811189C22semidirect
186. #16811189C22semidirect
187. #16811187C22semidirect
188. #16811187C22semidirect
189. #16811187C22semidirect
190. #16811186C22semidirect
191. #16811183C22semidirect
192. #16811183C22semidirect
193. #16811183C22semidirect
194. #16811183C22semidirect
195. #16811183C22semidirect
196. #16811182C22semidirect
197. #16811182C22semidirect
198. #16811181C22semidirect
199. #16811181C22semidirect
200. #16811171C22semidirect
201. #16811170C22semidirect
202. #16811168C22semidirect
203. #16811168C22semidirect
204. #16811160C22semidirect
205. #16811159C22semidirect
206. #16811154C22semidirect
207. #16811152C22semidirect
208. #16811136C22semidirect
209. #16811136C22semidirect
210. #16811136C22semidirect
211. #16811135C22semidirect
212. #16811134C22semidirect
213. #16811134C22semidirect
214. #16811133C22semidirect
215. #16811133C22semidirect
216. #16811133C22semidirect
217. #16811132C22semidirect
218. #16811132C22semidirect
219. #16811132C22semidirect
220. #16811131C22semidirect
221. #16811130C22semidirect
222. #16811130C22semidirect
223. #16811130C22semidirect
224. #16811130C22semidirect
225. #16811130C22semidirect
226. #16811130C22semidirect
227. #16811130C22semidirect
228. #16811130C22semidirect
229. #16811130C22semidirect
230. #16811130C22semidirect
231. #16811130C22semidirect
232. #16811130C22semidirect
233. #16811130C22semidirect
234. #16811130C22semidirect
235. #16811129C22semidirect
236. C2×#13133198C22semidirect
237. #123×D53C22semidirect
238. C2×#13133193C22semidirect
239. C2×#13133193C22semidirect
240. C22⋊Q8×D53C22semidirect
241. C22⋊Q8×D53C22semidirect
242. C2×#13133192C22semidirect
243. C2×#13133191C22semidirect
244. C2×#13133191C22semidirect
245. C2×#13133190C22semidirect
246. C2×#13133189C22semidirect
247. C2×#13133188C22semidirect
248. C2×#13133188C22semidirect
249. C2×#13133188C22semidirect
250. C2×#13133188C22semidirect
251. #121×D53C22semidirect
252. #121×D53C22semidirect
253. #121×D53C22semidirect
254. #121×D53C22semidirect
255. #121×D53C22semidirect
256. #121×D53C22semidirect
257. #121×D53C22semidirect
258. #121×D53C22semidirect
259. #121×D53C22semidirect
260. #121×D53C22semidirect
261. #121×D53C22semidirect
262. C2×#13133185C22semidirect
263. C2×#13133185C22semidirect
264. #120×D53C22semidirect
265. #120×D53C22semidirect
266. #16811106C22semidirect
267. #16811106C22semidirect
268. #16811104C22semidirect
269. #16811098C22semidirect
270. #16811097C22semidirect
271. #16811096C22semidirect
272. #16811095C22semidirect
273. #16811095C22semidirect
274. C2×C4×C22⋊D53C22semidirect
275. C2×C4×C22⋊D53C22semidirect
276. C4×D4×D53C22semidirect
277. C4×D4×D53C22semidirect
278. C2×#13133176C22semidirect
279. #117×D53C22semidirect
280. C2×C4⋊C4×D53C22semidirect
281. C2×C22⋊C4×D53C22semidirect
282. C2×H(5,𝔽2)×C53C22semidirect
283. C22×#41×C53C22semidirect
284. C53×#550C22semidirect
285. C53×#548C22semidirect
286. C53×#546C22semidirect
287. C53×#546C22semidirect
288. D42×C53C22semidirect
289. D42×C53C22semidirect
290. C53×#537C22semidirect
291. C53×#537C22semidirect
292. C53×#535C22semidirect
293. C53×#535C22semidirect
294. C53×#525C22semidirect
295. C53×#525C22semidirect
296. C2×#121×C53C22semidirect
297. C2×#121×C53C22semidirect
298. C53×#520C22semidirect
303. C2×#11719949C23semidirect
304. C2×#11719949C23semidirect
307. C2×#11719945C23semidirect
308. C2×#11719945C23semidirect
309. C2×#11719945C23semidirect
312. C2×#11719947C23semidirect
313. C2×#11719947C23semidirect
314. C2×#11719947C23semidirect
315. C2×#11719947C23semidirect
317. C2×Q8×D53C23semidirect
320. C22×D212C23semidirect
328. C22×C22⋊D53C23semidirect
329. C22×C22⋊D53C23semidirect
346. C2×D4×D53C23semidirect
347. C2×D4×D53C23semidirect
348. C2×D4×D53C23semidirect
364. C22×C4×D53C23semidirect
365. #13133217C23semidirect
366. #13133216C23semidirect
367. #13133216C23semidirect
368. #13133216C23semidirect
369. #13133213C23semidirect
370. #13133213C23semidirect
371. #13133213C23semidirect
372. #13133213C23semidirect
373. #13133213C23semidirect
374. #13133213C23semidirect
375. #13133212C23semidirect
376. #13133212C23semidirect
377. #13133212C23semidirect
378. #13133211C23semidirect
379. #13133211C23semidirect
380. #13133210C23semidirect
381. #13133210C23semidirect
382. #13133210C23semidirect
383. #13133210C23semidirect
384. #13133210C23semidirect
385. #13133210C23semidirect
386. #13133210C23semidirect
387. #13133209C23semidirect
388. #13133209C23semidirect
389. #13133208C23semidirect
390. #13133208C23semidirect
391. #13133208C23semidirect
392. #13133207C23semidirect
393. #13133207C23semidirect
394. #13133207C23semidirect
395. #13133206C23semidirect
396. #13133206C23semidirect
397. #13133206C23semidirect
398. #13133205C23semidirect
399. #13133204C23semidirect
400. #13133204C23semidirect
401. #13133204C23semidirect
402. #13133204C23semidirect
403. #13133203C23semidirect
404. #13133203C23semidirect
405. #13133203C23semidirect
406. #13133203C23semidirect
407. #13133203C23semidirect
408. #13133203C23semidirect
410. #13133202C23semidirect
411. #13133202C23semidirect
412. #13133202C23semidirect
413. #13133202C23semidirect
414. #13133202C23semidirect
416. #13133201C23semidirect
417. #13133201C23semidirect
418. #13133201C23semidirect
419. #13133201C23semidirect
421. #13133200C23semidirect
422. #13133200C23semidirect
423. #13133200C23semidirect
424. #13133200C23semidirect
425. #13133200C23semidirect
429. #13133199C23semidirect
430. #13133199C23semidirect
431. #13133199C23semidirect
432. #13133199C23semidirect
433. #13133199C23semidirect
434. #13133199C23semidirect
435. #13133199C23semidirect
436. #13133199C23semidirect
437. #13133199C23semidirect
438. #13133199C23semidirect
444. #13133198C23semidirect
445. #13133198C23semidirect
446. #13133198C23semidirect
447. #13133198C23semidirect
448. #13133198C23semidirect
449. #13133198C23semidirect
450. #13133198C23semidirect
451. #13133198C23semidirect
452. #13133198C23semidirect
453. #13133198C23semidirect
454. #13133198C23semidirect
458. #13133197C23semidirect
460. #13133196C23semidirect
461. #13133196C23semidirect
462. #13133196C23semidirect
463. #13133196C23semidirect
464. #13133196C23semidirect
468. #13133195C23semidirect
469. #13133195C23semidirect
470. #13133195C23semidirect
472. #13133194C23semidirect
473. #13133194C23semidirect
474. #13133194C23semidirect
475. #13133194C23semidirect
476. #13133194C23semidirect
477. #13133194C23semidirect
486. #13133193C23semidirect
487. #13133193C23semidirect
488. #13133193C23semidirect
489. #13133193C23semidirect
490. #13133193C23semidirect
491. #13133193C23semidirect
492. #13133193C23semidirect
493. #13133193C23semidirect
500. #13133192C23semidirect
505. #13133191C23semidirect
506. #13133191C23semidirect
507. #13133191C23semidirect
508. #13133191C23semidirect
509. #13133191C23semidirect
510. #13133191C23semidirect
511. #13133191C23semidirect
512. #13133191C23semidirect
513. #13133191C23semidirect
514. #13133191C23semidirect
515. #13133191C23semidirect
523. #13133190C23semidirect
524. #13133190C23semidirect
525. #13133190C23semidirect
526. #13133190C23semidirect
527. #13133190C23semidirect
528. #13133190C23semidirect
529. #13133190C23semidirect
535. #13133189C23semidirect
536. #13133189C23semidirect
537. #13133189C23semidirect
538. #13133189C23semidirect
539. #13133189C23semidirect
540. #13133189C23semidirect
541. #13133189C23semidirect
542. #13133189C23semidirect
543. #13133189C23semidirect
544. #13133189C23semidirect
545. #13133189C23semidirect
546. #13133189C23semidirect
547. #13133189C23semidirect
548. #13133189C23semidirect
549. #13133189C23semidirect
550. #13133189C23semidirect
551. #13133189C23semidirect
565. #13133188C23semidirect
566. #13133188C23semidirect
567. #13133188C23semidirect
568. #13133188C23semidirect
569. #13133188C23semidirect
570. #13133188C23semidirect
571. #13133188C23semidirect
572. #13133188C23semidirect
573. #13133188C23semidirect
574. #13133188C23semidirect
575. #13133188C23semidirect
576. #13133188C23semidirect
577. #13133188C23semidirect
578. #13133188C23semidirect
579. #13133188C23semidirect
580. #13133188C23semidirect
581. #13133188C23semidirect
587. #13133187C23semidirect
588. #13133187C23semidirect
591. #13133186C23semidirect
592. #13133186C23semidirect
593. #13133186C23semidirect
594. #13133186C23semidirect
595. #13133186C23semidirect
615. #13133185C23semidirect
616. #13133185C23semidirect
617. #13133185C23semidirect
618. #13133185C23semidirect
619. #13133185C23semidirect
620. #13133185C23semidirect
621. Q8×Dic53C23semidirect
622. Q8×Dic53C23semidirect
623. #13133182C23semidirect
627. C4×D212C23semidirect
628. C4×D212C23semidirect
629. C4×D212C23semidirect
632. D4×Dic53C23semidirect
633. D4×Dic53C23semidirect
634. D4×Dic53C23semidirect
635. D4×Dic53C23semidirect
636. D4×Dic53C23semidirect
637. D4×Dic53C23semidirect
638. D4×Dic53C23semidirect
639. D4×Dic53C23semidirect
640. D4×Dic53C23semidirect
641. D4×Dic53C23semidirect
644. #13133179C23semidirect
645. #13133179C23semidirect
646. #13133179C23semidirect
647. #13133179C23semidirect
660. C4×C22⋊D53C23semidirect
661. C4×C22⋊D53C23semidirect
662. C4×C22⋊D53C23semidirect
663. C4×C22⋊D53C23semidirect
664. C4×C22⋊D53C23semidirect
665. C4×C22⋊D53C23semidirect
666. C4×C22⋊D53C23semidirect
667. C4×C22⋊D53C23semidirect
668. C4×C22⋊D53C23semidirect
669. C4×C22⋊D53C23semidirect
670. C4×C22⋊D53C23semidirect
671. C4×C22⋊D53C23semidirect
672. C4×C22⋊D53C23semidirect
673. C4×C22⋊D53C23semidirect
674. C4×C22⋊D53C23semidirect
679. #13133177C23semidirect
680. #13133177C23semidirect
681. #13133177C23semidirect
682. #13133177C23semidirect
683. #13133177C23semidirect
684. #13133177C23semidirect
685. #13133177C23semidirect
690. #13133176C23semidirect
691. #13133176C23semidirect
692. #13133176C23semidirect
693. #13133176C23semidirect
694. #13133176C23semidirect
696. #13133175C23semidirect
697. #13133175C23semidirect
698. #13133175C23semidirect
699. #13133175C23semidirect
701. #13133174C23semidirect
702. #13133174C23semidirect
704. #13133173C23semidirect
705. #13133173C23semidirect
707. C2×C4⋊Dic53C23semidirect
708. C2×C4⋊Dic53C23semidirect
709. C2×C4⋊Dic53C23semidirect
710. C2×C4⋊Dic53C23semidirect
712. C2×#11719919C23semidirect
713. C2×#11719919C23semidirect
718. C4⋊C4×D53C23semidirect
719. C4⋊C4×D53C23semidirect
720. C4⋊C4×D53C23semidirect
721. C4⋊C4×D53C23semidirect
722. C4⋊C4×D53C23semidirect
726. C2×C22⋊Dic53C23semidirect
727. C2×C22⋊Dic53C23semidirect
728. C2×C22⋊Dic53C23semidirect
735. C2×#11719921C23semidirect
746. C22⋊C4×D53C23semidirect
747. C22⋊C4×D53C23semidirect
748. C22⋊C4×D53C23semidirect
749. C2×C4×Dic53C23semidirect
750. C42×D53C23semidirect
757. C2×#41×C53C23semidirect
758. C2×#41×C53C23semidirect
759. C2×#41×C53C23semidirect
760. C2×#41×C53C23semidirect
761. C2×#41×C53C23semidirect
762. C22×Q8×C53C23semidirect
767. C22×D4×C53C23semidirect
768. C22×D4×C53C23semidirect
769. C22×D4×C53C23semidirect
770. C22×D4×C53C23semidirect
772. C23×C4×C53C23semidirect
773. #127×C53C23semidirect
774. #127×C53C23semidirect
775. #124×C53C23semidirect
776. #124×C53C23semidirect
778. #123×C53C23semidirect
779. C22⋊Q8×C53C23semidirect
780. C22⋊Q8×C53C23semidirect
781. C22⋊Q8×C53C23semidirect
782. C22⋊Q8×C53C23semidirect
783. C22⋊Q8×C53C23semidirect
789. #121×C53C23semidirect
790. #121×C53C23semidirect
791. #121×C53C23semidirect
792. #121×C53C23semidirect
793. #121×C53C23semidirect
794. #121×C53C23semidirect
795. #121×C53C23semidirect
796. #121×C53C23semidirect
797. #121×C53C23semidirect
798. #121×C53C23semidirect
799. #121×C53C23semidirect
802. #120×C53C23semidirect
803. #120×C53C23semidirect
804. #120×C53C23semidirect
805. C4×Q8×C53C23semidirect
807. C4×D4×C53C23semidirect
808. C4×D4×C53C23semidirect
809. C4×D4×C53C23semidirect
810. C4×D4×C53C23semidirect
811. C4×D4×C53C23semidirect
813. #117×C53C23semidirect
815. C2×C4⋊C4×C53C23semidirect
817. C2×C22⋊C4×C53C23semidirect
1218. C22×D53H(5,𝔽2)semidirect
1263. C2×C4×C53H(5,𝔽2)semidirect
1475. #3488D53semidirect
1500. C2×H(5,𝔽2)C2×D53semidirect
1502. C22×#41C2×D53semidirect
1553. #550C2×D53semidirect
1557. #548C2×D53semidirect
1596. #546C2×D53semidirect
1597. #546C2×D53semidirect
1616. D42C2×D53semidirect
1617. D42C2×D53semidirect
1653. #537C2×D53semidirect
1654. #537C2×D53semidirect
1663. #535C2×D53semidirect
1664. #535C2×D53semidirect
1710. #525C2×D53semidirect
1711. #525C2×D53semidirect
1738. C2×#121C2×D53semidirect
1739. C2×#121C2×D53semidirect
1747. #520C2×D53semidirect
1761. C53#62818semidirect
1786. C2×#41C22×D53semidirect
1787. C2×#41C22×D53semidirect
1788. C2×#41C22×D53semidirect
1789. C2×#41C22×D53semidirect
1790. C2×#41C22×D53semidirect
1792. C22×Q8C22×D53semidirect
1828. C22×D4C22×D53semidirect
1829. C22×D4C22×D53semidirect
1830. C22×D4C22×D53semidirect
1831. C22×D4C22×D53semidirect
1849. C23×C4C22×D53semidirect
1860. #127C22×D53semidirect
1861. #127C22×D53semidirect
1896. #124C22×D53semidirect
1897. #124C22×D53semidirect
1945. #123C22×D53semidirect
1985. C22⋊Q8C22×D53semidirect
1986. C22⋊Q8C22×D53semidirect
1987. C22⋊Q8C22×D53semidirect
1988. C22⋊Q8C22×D53semidirect
1989. C22⋊Q8C22×D53semidirect
2083. #121C22×D53semidirect
2084. #121C22×D53semidirect
2085. #121C22×D53semidirect
2086. #121C22×D53semidirect
2087. #121C22×D53semidirect
2088. #121C22×D53semidirect
2089. #121C22×D53semidirect
2090. #121C22×D53semidirect
2091. #121C22×D53semidirect
2092. #121C22×D53semidirect
2093. #121C22×D53semidirect
2135. #120C22×D53semidirect
2136. #120C22×D53semidirect
2137. #120C22×D53semidirect
2141. C4×Q8C22×D53semidirect
2205. C4×D4C22×D53semidirect
2206. C4×D4C22×D53semidirect
2207. C4×D4C22×D53semidirect
2208. C4×D4C22×D53semidirect
2209. C4×D4C22×D53semidirect
2231. #117C22×D53semidirect
2250. C2×C4⋊C4C22×D53semidirect
2278. C2×C22⋊C4C22×D53semidirect
2821. C2×C4#13133262semidirect

Maximal subgroups

By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.

subgroupindex
#202890332
#202890292
#202890212
#202890192
#202889482
#202889462
#202889332
#202889312
#202888972
#202888932
#202887462
#202887442
#202887412
#202887352
#202885512
#202885432
#202884722
#202884712
#202884522
#202884512
#202884472
#202884442
#202884222
#202884182
#202883972
#202883842
#202883792
#202883772
#202883492
#202883462
#202883432
C2×#168111302
#525×D532
C2×#121×D532
C53×#34882
#6281853