Finite Group Databasebeta

← #28292724

Subgroups — #28292724

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#20289038C212yesmaximal, complemented
2#20289037C212yesmaximal, complemented
3#20289034C212yesmaximal, complemented
4#20289027C212yesmaximal, complemented
5#20288953C212yesmaximal, complemented
6#20288951C212yesmaximal, complemented
7#20288940C212yesmaximal, complemented
8#20288938C212yesmaximal, complemented
9#20288908C214yesmaximal, complemented
10#20288901C214yesmaximal, complemented
11#20288750C212yesmaximal, complemented
12#20288749C212yesmaximal, complemented
13#20288742C212yesmaximal, complemented
14#20288740C212yesmaximal, complemented
15#20288550C212yesmaximal, complemented
16#20288544C212yesmaximal, complemented
17#20288477C212yesmaximal, complemented
18#20288473C212yesmaximal, complemented
19#20288453C211yesmaximal, characteristic, complemented
20#20288450C211yesmaximal, characteristic, complemented
21#20288440C211yesmaximal, characteristic, complemented
22#20288425C211yesmaximal, characteristic, complemented
23#20288418C211yesmaximal, characteristic, complemented
24#20288399C214yesmaximal, complemented
25#20288385C211yesmaximal, characteristic, complemented
26#20288382C211yesmaximal, characteristic, complemented
27#20288380C211yesmaximal, characteristic, complemented
28#20288376C211yesmaximal, characteristic, complemented
29#20288351C211yesmaximal, characteristic, complemented
30#20288349C211yesmaximal, characteristic, complemented
31#20288345C214yesmaximal, complemented
32C2×#16811135C211yesmaximal, characteristic, complemented
33#525×D53C211yesmaximal, characteristic, complemented
34C2×#121×D53C211yesmaximal, characteristic, complemented
35C53×#3494C211yesmaximal, characteristic, complemented
36C2×#13133263C2211yescharacteristic, complemented
37C2×#13133263C2214yescomplemented
38C2×#13133262C2211yescharacteristic, complemented
39C22×#11719945C2211yescharacteristic, complemented
40C2×#41×D53C2211yescharacteristic, complemented
41C22×D4×D53C2212yescomplemented
42C22×D4×D53C2211yescharacteristic, complemented
43C23×C4×D53C2211yescharacteristic, complemented
44#16811370C2214yescomplemented
45#16811370C2214yescomplemented
46#16811369C2214yescomplemented
47#16811367C2214yescomplemented
48#16811364C2214yescomplemented
49#16811363C2214yescomplemented
50#16811361C2214yescomplemented
51#16811361C2214yescomplemented
52#16811339C2212yescomplemented
53#16811338C2212yescomplemented
54#16811336C2212yescomplemented
55#16811334C2212yescomplemented
56#16811334C2212yescomplemented
57#16811333C2212yescomplemented
58#16811328C2212yescomplemented
59#16811326C2212yescomplemented
60#16811326C2212yescomplemented
61#16811326C2212yescomplemented
62#16811326C2212yescomplemented
63#16811325C2214yescomplemented
64#16811324C2214yescomplemented
65#16811323C2212yescomplemented
66#16811323C2212yescomplemented
67#16811323C2212yescomplemented
68#16811321C2212yescomplemented
69#16811319C2214yescomplemented
70#16811317C2212yescomplemented
71#16811317C2214yescomplemented
72#16811317C2212yescomplemented
73#16811314C2212yescomplemented
74#16811312C2212yescomplemented
75#16811311C2212yescomplemented
76#16811311C2212yescomplemented
77#16811300C2214yescomplemented
78#16811299C2214yescomplemented
79#16811298C2214yescomplemented
80#16811298C2214yescomplemented
81#16811297C2214yescomplemented
82#16811297C2214yescomplemented
83#16811296C2214yescomplemented
84#16811295C2212yescomplemented
85#16811294C2212yescomplemented
86#16811293C2212yescomplemented
87#16811291C2212yescomplemented
88#16811285C2212yescomplemented
89#16811282C2212yescomplemented
90#16811281C2212yescomplemented
91#16811279C2212yescomplemented
92#16811278C2212yescomplemented
93#16811278C2212yescomplemented
94#16811276C2212yescomplemented
95#16811276C2212yescomplemented
96#16811276C2212yescomplemented
97#16811274C2212yescomplemented
98#16811274C2212yescomplemented
99#16811270C2212yescomplemented
100#16811270C2212yescomplemented
101#16811270C2212yescomplemented
102#16811269C2214yescomplemented
103#16811269C2214yescomplemented
104#16811269C2212yescomplemented
105#16811268C2214yescomplemented
106#16811268C2212yescomplemented
107#16811268C2212yescomplemented
108#16811268C2212yescomplemented
109#16811268C2212yescomplemented
110#16811268C2212yescomplemented
111#16811266C2212yescomplemented
112#16811266C2214yescomplemented
113#16811266C2212yescomplemented
114#16811266C2214yescomplemented
115#16811266C2212yescomplemented
116#16811266C2214yescomplemented
117#16811265C2214yescomplemented
118#16811265C2214yescomplemented
119#16811265C2214yescomplemented
120#16811265C2214yescomplemented
121#16811265C2214yescomplemented
122#16811264C2214yescomplemented
123#16811264C2214yescomplemented
124#16811263C2214yescomplemented
125#16811263C2214yescomplemented
126#16811263C2214yescomplemented
127#16811261C2214yescomplemented
128#16811261C2214yescomplemented
129#16811260C2214yescomplemented
130D4×D212C2214yescomplemented
131D4×D212C2212yescomplemented
132D4×D212C2212yescomplemented
133D4×D212C2214yescomplemented
134D4×D212C2212yescomplemented
135D4×D212C2212yescomplemented
136D4×D212C2212yescomplemented
137D4×D212C2212yescomplemented
138#16811258C2212yescomplemented
139#16811258C2212yescomplemented
140#16811258C2212yescomplemented
141#16811257C2212yescomplemented
142#16811257C2212yescomplemented
143#16811257C2214yescomplemented
144#16811257C2212yescomplemented
145#16811257C2214yescomplemented
146#16811257C2214yescomplemented
147D4×C22⋊D53C2214yescomplemented
148#16811255C2214yescomplemented
149#16811255C2214yescomplemented
150#16811251C2211yescharacteristic, complemented
151#16811248C2214yescomplemented
152#16811247C2212yescomplemented
153#16811244C2212yescomplemented
154#16811238C2212yescomplemented
155#16811229C2212yescomplemented
156#16811228C2214yescomplemented
157#16811228C2212yescomplemented
158#16811226C2214yescomplemented
159#16811225C2214yescomplemented
160#16811224C2212yescomplemented
161#16811224C2214yescomplemented
162#16811222C2214yescomplemented
163#16811217C2214yescomplemented
164#16811215C2214yescomplemented
165#16811214C2214yescomplemented
166#16811212C2214yescomplemented
167#16811212C2214yescomplemented
168#16811212C2214yescomplemented
169#16811210C2214yescomplemented
170#16811209C2214yescomplemented
171#16811209C2214yescomplemented
172#16811207C2214yescomplemented
173#16811207C2214yescomplemented
174#16811207C2214yescomplemented
175#16811206C2214yescomplemented
176#16811204C2211yescharacteristic, complemented
177#16811204C2212yescomplemented
178#16811203C2214yescomplemented
179#16811203C2212yescomplemented
180#16811202C2212yescomplemented
181#16811202C2212yescomplemented
182#16811201C2211yescharacteristic, complemented
183#16811201C2214yescomplemented
184#16811192C2211yescharacteristic, complemented
185#16811192C2211yescharacteristic, complemented
186#16811192C2212yescomplemented
187#16811191C2214yescomplemented
188#16811190C2211yescharacteristic, complemented
189#16811189C2212yescomplemented
190#16811189C2214yescomplemented
191#16811189C2212yescomplemented
192#16811189C2212yescomplemented
193#16811185C2214yescomplemented
194#16811184C2214yescomplemented
195#16811184C2214yescomplemented
196#16811184C2214yescomplemented
197#16811184C2214yescomplemented
198#16811183C2214yescomplemented
199#16811181C2214yescomplemented
200#16811181C2214yescomplemented
201#16811181C2214yescomplemented
202#16811174C2212yescomplemented
203#16811173C2212yescomplemented
204#16811170C2212yescomplemented
205#16811158C2212yescomplemented
206#16811157C2212yescomplemented
207#16811155C2212yescomplemented
208#16811136C2214yescomplemented
209#16811136C2211yescharacteristic, complemented
210#16811136C2211yescharacteristic, complemented
211#16811136C2212yescomplemented
212#16811135C2211yescharacteristic, complemented
213#16811135C2211yescharacteristic, complemented
214#16811135C2211yescharacteristic, complemented
215#16811135C2212yescomplemented
216#16811135C2211yescharacteristic, complemented
217#16811135C2211yescharacteristic, complemented
218#16811135C2212yescomplemented
219#16811135C2212yescomplemented
220#16811135C2211yescharacteristic, complemented
221#16811135C2211yescharacteristic, complemented
222#16811135C2212yescomplemented
223#16811135C2211yescharacteristic, complemented
224#16811135C2211yescharacteristic, complemented
225#16811135C2212yescomplemented
226#16811134C2211yescharacteristic, complemented
227#16811133C2212yescomplemented
228#16811133C2211yescharacteristic, complemented
229#16811133C2211yescharacteristic, complemented
230#16811133C2212yescomplemented
231#16811132C2214yescomplemented
232#16811132C2212yescomplemented
233#16811132C2212yescomplemented
234#16811131C2212yescomplemented
235#16811130C2211yescharacteristic, complemented
236#16811129C2212yescomplemented
237C2×#13133201C2212yescomplemented
238#123×D53C2212yescomplemented
239C2×#13133197C2211yescharacteristic, complemented
240C2×#13133197C2211yescharacteristic, complemented
241C22⋊Q8×D53C2211yescharacteristic, complemented
242C22⋊Q8×D53C2211yescharacteristic, complemented
243C2×#13133192C2211yescharacteristic, complemented
244C2×#13133192C2211yescharacteristic, complemented
245C2×#13133192C2211yescharacteristic, complemented
246C2×#13133192C2212yescomplemented
247C2×#13133191C2211yescharacteristic, complemented
248C2×#13133190C2212yescomplemented
249C2×#13133189C2212yescomplemented
250C2×#13133188C2211yescharacteristic, complemented
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×D53C2212yescomplemented
260#121×D53C2211yescharacteristic, complemented
261#121×D53C2211yescharacteristic, complemented
262#121×D53C2212yescomplemented
263#121×D53C2212yescomplemented
264C2×#13133187C2212yescomplemented
265C2×#13133187C2214yescomplemented
266#120×D53C2212yescomplemented
267#120×D53C2214yescomplemented
268#16811104C2211yescharacteristic, complemented
269#16811103C2211yescharacteristic, complemented
270#16811103C2211yescharacteristic, complemented
271#16811097C2211yescharacteristic, complemented
272#16811097C2214yescomplemented
273#16811095C2214yescomplemented
274#16811095C2214yescomplemented
275C2×C4×D212C2212yescomplemented
276C2×C4×D212C2212yescomplemented
277C4×D4×D53C2212yescomplemented
278C4×D4×D53C2212yescomplemented
279#117×D53C2211yescharacteristic, complemented
280C2×C4⋊C4×D53C2211yescharacteristic, complemented
281C2×C22⋊C4×D53C2212yescomplemented
282C53×#555C2212yescomplemented
283C53×#553C2212yescomplemented
284C53×#553C2212yescomplemented
285C53×#551C2214yescomplemented
286C53×#547C2212yescomplemented
287C53×#546C2214yescomplemented
288C53×#544C2211yescharacteristic, complemented
289C53×#542C2212yescomplemented
290C53×#540C2212yescomplemented
291C53×#535C2211yescharacteristic, complemented
292C53×#532C2212yescomplemented
293C53×#529C2212yescomplemented
294C53×#525C2211yescharacteristic, complemented
295C2×#121×C53C2211yescharacteristic, complemented
296C53×#520C2211yescharacteristic, complemented
297C53×#518C2211yescharacteristic, complemented
298C2×#117×C53C2211yescharacteristic, complemented
299C24×D53C2311yescharacteristic
300C24×D53C2312yes—
301#13133263—44no—
302#13133263—416no—
303#13133262—44no—
304C2×#11719949C2314yes—
305C2×#11719949C2314yescomplemented
306C2×#11719949C2312yescomplemented
307C2×#11719949C2311yescharacteristic, complemented
308C2×#11719945—44no—
309C2×#11719945C2311yescharacteristic
310C2×#11719945C2311yescharacteristic
311C2×#11719945C2311yescharacteristic
312C2×#11719945C2312yes—
313C2×#11719945C2314yes—
314C2×#11719945C2314yescomplemented
315C2×#11719945C2314yescomplemented
316C2×#11719945C2311yescharacteristic, complemented
317C2×#11719945C2312yescomplemented
318C2×#11719945C2311yescharacteristic, complemented
319C2×#11719945C2312yescomplemented
320C2×#11719945C2312yescomplemented
321C2×#11719947C2312yes—
322C2×#11719947C2312yescomplemented
323C2×#11719947C2312yescomplemented
324C2×#11719947C2311yescharacteristic, complemented
325#41×D53—44no—
326C22×Dic106C2311yescharacteristic, complemented
327C2×Q8×D53C2311yescharacteristic, complemented
328C22×D212C2312yes—
329C22×D212C2311yescharacteristic
330C22×D212C2312yes—
331C22×D212C2314yes—
332C22×D212C2312yes—
333C22×D212C2314yes—
334C22×D212C2314yescomplemented
335C22×D212C2312yescomplemented
336C22×D212C2311yescharacteristic, complemented
337C22×C22⋊D53C2312yes—
338C22×C22⋊D53C2314yes—
339C22×C22⋊D53C2312yes—
340C22×C22⋊D53C2312yes—
341C22×C22⋊D53C2312yes—
342C2×D4×D53—44no—
343C2×D4×D53—48no—
344C2×D4×D53C2312yes—
345C2×D4×D53C2314yes—
346C2×D4×D53C2314yes—
347C2×D4×D53C2314yes—
348C2×D4×D53C2314yes—
349C2×D4×D53C2314yes—
350C2×D4×D53C2312yes—
351C2×D4×D53C2312yes—
352C2×D4×D53C2312yes—
353C2×D4×D53C2312yes—
354C2×D4×D53C2312yes—
355C2×D4×D53C2314yes—
356C2×D4×D53C2312yes—
357C2×D4×D53C2314yes—
358C2×D4×D53C2314yescomplemented
359C2×D4×D53C2314yescomplemented
360C2×D4×D53C2312yescomplemented
361C2×D4×D53C2312yescomplemented
362C2×D4×D53C2312yescomplemented
363C2×D4×D53C2311yescharacteristic, complemented
364C2×D4×D53C2314yescomplemented
365C23×Dic53C2311yescharacteristic
366C22×C4×D53—44no—
367C22×C4×D53C2311yescharacteristic
368C22×C4×D53C2311yescharacteristic
369C22×C4×D53C2311yescharacteristic
370C22×C4×D53C2312yes—
371C22×C4×D53C2311yescharacteristic
372C22×C4×D53C2311yescharacteristic
373C22×C4×D53C2311yescharacteristic
374C22×C4×D53C2311yescharacteristic
375C22×C4×D53C2311yescharacteristic
376C22×C4×D53C2311yescharacteristic
377C22×C4×D53C2311yescharacteristic
378C22×C4×D53C2311yescharacteristic
379C22×C4×D53C2311yescharacteristic
380C22×C4×D53C2312yescomplemented
381C22×C4×D53C2312yescomplemented
382#13133217C2312yescomplemented
383#13133216C2312yescomplemented
384#13133214C2312yescomplemented
385#13133214C2314yescomplemented
386#13133214C2312yescomplemented
387#13133213C2314yescomplemented
388#13133213C2312yescomplemented
389#13133213C2314yescomplemented
390#13133213C2314yescomplemented
391#13133212C2314yescomplemented
392#13133212C2314yescomplemented
393#13133212C2314yescomplemented
394#13133212C2314yescomplemented
395#13133212C2314yescomplemented
396#13133211C2314yescomplemented
397#13133211C2314yescomplemented
398#13133210C2314yescomplemented
399#13133210C2314yescomplemented
400#13133210C2314yescomplemented
401#13133209C2314yescomplemented
402#13133209C2312yescomplemented
403#13133208C2314yescomplemented
404#13133208C2314yescomplemented
405#13133208C2312yescomplemented
406#13133207C2314yescomplemented
407#13133206C2314yescomplemented
408#13133206C2314yescomplemented
409#13133205C2312yescomplemented
410#13133205C2312yescomplemented
411#13133205C2314yescomplemented
412#13133205C2314yescomplemented
413#13133204C2312yescomplemented
414#13133203C2314yescomplemented
415#13133203C2314yescomplemented
416#13133203C2314yescomplemented
417#13133203C2314yescomplemented
418#13133203C2314yescomplemented
419#13133203C2314yescomplemented
420#13133202C2314yes—
421#13133202C2314yes—
422#13133202C2314yes—
423#13133202C2314yescomplemented
424#13133202C2314yescomplemented
425#13133202C2314yescomplemented
426#13133202C2314yescomplemented
427#13133202C2314yescomplemented
428#13133202C2314yescomplemented
429#13133202C2314yescomplemented
430#13133202C2314yescomplemented
431#13133202C2314yescomplemented
432#13133202C2312yescomplemented
433#13133202C2312yescomplemented
434#13133201C2312yes—
435#13133201C2312yes—
436#13133201C2312yes—
437#13133201C2312yes—
438#13133201C2312yes—
439#13133201C2314yescomplemented
440#13133201C2314yescomplemented
441#13133201C2314yescomplemented
442#13133201C2312yescomplemented
443#13133201C2312yescomplemented
444#13133201C2312yescomplemented
445#13133201C2312yescomplemented
446#13133200C2312yes—
447#13133200C2314yescomplemented
448#13133200C2314yescomplemented
449#13133200C2314yescomplemented
450#13133200C2314yescomplemented
451#13133199C2314yes—
452#13133199C2314yescomplemented
453#13133199C2314yescomplemented
454#13133199C2314yescomplemented
455#13133199C2314yescomplemented
456#13133199C2314yescomplemented
457#13133199C2314yescomplemented
458#13133199C2314yescomplemented
459#13133199C2314yescomplemented
460#13133199C2312yescomplemented
461#13133199C2312yescomplemented
462#13133198C2312yes—
463#13133197C2311yescharacteristic
464#13133197C2311yescharacteristic
465#13133197C2311yescharacteristic
466#13133197C2311yescharacteristic
467#13133197C2311yescharacteristic
468#13133197C2311yescharacteristic
469#13133197C2312yes—
470#13133197C2312yes—
471#13133197C2314yescomplemented
472#13133197C2312yescomplemented
473#13133197C2312yescomplemented
474#13133197C2312yescomplemented
475#13133197C2311yescharacteristic, complemented
476#13133197C2311yescharacteristic, complemented
477#13133197C2311yescharacteristic, complemented
478#13133197C2311yescharacteristic, complemented
479#13133197C2312yescomplemented
480#13133196C2314yescomplemented
481#13133196C2314yescomplemented
482#13133196C2312yescomplemented
483#13133196C2311yescharacteristic, complemented
484#13133196C2311yescharacteristic, complemented
485#13133195C2314yes—
486#13133195C2312yes—
487#13133195C2312yes—
488#13133195C2314yescomplemented
489#13133195C2314yescomplemented
490#13133195C2314yescomplemented
491#13133194C2314yes—
492#13133194C2314yescomplemented
493#13133194C2314yescomplemented
494#13133194C2312yescomplemented
495#13133194C2312yescomplemented
496#13133193C2311yescharacteristic
497#13133193C2311yescharacteristic
498#13133193C2314yes—
499#13133193C2314yescomplemented
500#13133193C2314yescomplemented
501#13133193C2312yescomplemented
502#13133193C2314yescomplemented
503#13133192C2312yes—
504#13133192C2312yes—
505#13133192C2311yescharacteristic
506#13133192C2311yescharacteristic
507#13133192C2311yescharacteristic
508#13133192C2312yes—
509#13133192C2311yescharacteristic
510#13133192C2311yescharacteristic
511#13133192C2311yescharacteristic
512#13133192C2314yes—
513#13133192C2312yes—
514#13133192C2312yes—
515#13133192C2312yes—
516#13133192C2314yescomplemented
517#13133192C2314yescomplemented
518#13133192C2314yescomplemented
519#13133192C2314yescomplemented
520#13133192C2314yescomplemented
521#13133192C2314yescomplemented
522#13133192C2314yescomplemented
523#13133192C2312yescomplemented
524#13133192C2312yescomplemented
525#13133192C2312yescomplemented
526#13133192C2312yescomplemented
527#13133192C2312yescomplemented
528#13133192C2312yescomplemented
529#13133192C2312yescomplemented
530#13133192C2311yescharacteristic, complemented
531#13133192C2311yescharacteristic, complemented
532#13133192C2312yescomplemented
533#13133192C2311yescharacteristic, complemented
534#13133192C2311yescharacteristic, complemented
535#13133191C2314yes—
536#13133191C2312yes—
537#13133191C2312yes—
538#13133191C2312yes—
539#13133191C2312yes—
540#13133191C2314yescomplemented
541#13133191C2314yescomplemented
542#13133191C2314yescomplemented
543#13133191C2314yescomplemented
544#13133191C2314yescomplemented
545#13133191C2314yescomplemented
546#13133191C2312yescomplemented
547#13133191C2314yescomplemented
548#13133191C2314yescomplemented
549#13133191C2311yescharacteristic, complemented
550#13133191C2311yescharacteristic, complemented
551#13133190C2312yes—
552#13133190C2314yes—
553#13133190C2314yes—
554#13133190C2314yes—
555#13133190C2314yes—
556#13133190C2314yes—
557#13133190C2312yes—
558#13133190C2314yescomplemented
559#13133190C2314yescomplemented
560#13133190C2314yescomplemented
561#13133190C2314yescomplemented
562#13133190C2314yescomplemented
563#13133190C2314yescomplemented
564#13133190C2314yescomplemented
565#13133190C2314yescomplemented
566#13133190C2314yescomplemented
567#13133190C2314yescomplemented
568#13133190C2314yescomplemented
569#13133190C2314yescomplemented
570#13133190C2314yescomplemented
571#13133189C2314yes—
572#13133189C2314yes—
573#13133189C2314yes—
574#13133189C2314yes—
575#13133189C2314yes—
576#13133189C2314yescomplemented
577#13133189C2314yescomplemented
578#13133189C2314yescomplemented
579#13133189C2314yescomplemented
580#13133189C2314yescomplemented
581#13133189C2312yescomplemented
582#13133189C2312yescomplemented
583#13133188C2312yes—
584#13133188C2311yescharacteristic
585#13133188C2312yes—
586#13133188C2311yescharacteristic
587#13133188C2312yes—
588#13133188C2312yes—
589#13133188C2314yescomplemented
590#13133188C2314yescomplemented
591#13133188C2312yescomplemented
592#13133188C2312yescomplemented
593#13133188C2314yescomplemented
594#13133188C2314yescomplemented
595#13133188C2312yescomplemented
596#13133187C2312yes—
597#13133187C2314yes—
598#13133187C2314yes—
599#13133187C2312yes—
600#13133187C2312yes—
601#13133187C2314yes—
602#13133187C2314yes—
603#13133187C2314yes—
604#13133187C2312yes—
605#13133187C2314yes—
606#13133187C2314yes—
607#13133187C2314yes—
608#13133187C2312yes—
609#13133187C2312yes—
610#13133187C2312yes—
611#13133187C2312yes—
612#13133187C2312yes—
613#13133187C2312yes—
614#13133187C2312yes—
615#13133187C2314yescomplemented
616#13133187C2314yescomplemented
617#13133187C2314yescomplemented
618#13133187C2314yescomplemented
619#13133187C2314yescomplemented
620#13133187C2314yescomplemented
621#13133187C2314yescomplemented
622#13133187C2314yescomplemented
623#13133187C2314yescomplemented
624#13133186C2314yes—
625#13133186C2312yes—
626#13133185C2314yes—
627#13133185C2314yes—
628#13133185C2312yes—
629#13133185C2312yes—
630#13133185C2312yes—
631#13133185C2314yescomplemented
632#13133185C2314yescomplemented
633#13133185C2314yescomplemented
634#13133185C2314yescomplemented
635#13133185C2314yescomplemented
636#13133185C2314yescomplemented
637#13133185C2314yescomplemented
638C4×Dic106C2312yescomplemented
639C4×Dic106C2312yescomplemented
640#13133182C2312yescomplemented
641C4×D212C2312yes—
642C4×D212C2312yes—
643C4×D212C2314yes—
644C4×D212C2312yes—
645C4×D212C2312yes—
646C4×D212C2312yes—
647C4×D212C2312yes—
648C4×D212C2312yes—
649C4×D212C2312yes—
650C4×D212C2312yes—
651C4×D212C2312yes—
652C4×D212C2314yescomplemented
653C4×D212C2312yescomplemented
654C4×D212C2312yescomplemented
655C4×D212C2312yescomplemented
656C4×D212C2314yescomplemented
657C4×D212C2312yescomplemented
658C4×D212C2312yescomplemented
659C4×D212C2314yescomplemented
660C4×D212C2312yescomplemented
661C4×D212C2312yescomplemented
662C4×D212C2312yescomplemented
663C4×D212C2312yescomplemented
664C4×D212C2312yescomplemented
665C4×D212C2312yescomplemented
666C4×D212C2312yescomplemented
667D4×Dic53C2314yescomplemented
668D4×Dic53C2314yescomplemented
669D4×Dic53C2312yescomplemented
670D4×Dic53C2312yescomplemented
671#13133179C2312yes—
672#13133179C2314yes—
673#13133179C2314yes—
674#13133179C2312yes—
675#13133179C2314yescomplemented
676#13133179C2314yescomplemented
677#13133179C2314yescomplemented
678#13133179C2312yescomplemented
679#13133179C2312yescomplemented
680#13133179C2312yescomplemented
681C4×C22⋊D53C2314yes—
682C4×C22⋊D53C2312yes—
683C4×C22⋊D53C2312yes—
684C4×C22⋊D53C2314yes—
685C4×C22⋊D53C2314yescomplemented
686C4×C22⋊D53C2312yescomplemented
687C4×C22⋊D53C2312yescomplemented
688C4×C22⋊D53C2314yescomplemented
689C4×C22⋊D53C2314yescomplemented
690#13133177C2312yes—
691#13133177C2314yes—
692#13133177C2314yes—
693#13133177C2312yes—
694#13133177C2312yescomplemented
695#13133177C2314yescomplemented
696#13133177C2314yescomplemented
697#13133177C2314yescomplemented
698#13133177C2312yescomplemented
699#13133176C2311yescharacteristic
700#13133176C2314yescomplemented
701#13133175C2314yes—
702#13133175C2314yescomplemented
703#13133175C2312yescomplemented
704#13133175C2312yescomplemented
705#13133175C2312yescomplemented
706#13133175C2311yescharacteristic, complemented
707#13133175C2311yescharacteristic, complemented
708#13133174C2314yes—
709#13133174C2314yescomplemented
710#13133174C2312yescomplemented
711#13133173C2312yes—
712C2×C4⋊Dic53C2311yescharacteristic
713C2×C4⋊Dic53C2312yescomplemented
714C2×C4⋊Dic53C2312yescomplemented
715C2×#11719919C2312yes—
716C4⋊C4×D53C2312yes—
717C4⋊C4×D53C2312yes—
718C4⋊C4×D53C2312yes—
719C4⋊C4×D53C2312yes—
720C4⋊C4×D53C2312yescomplemented
721C4⋊C4×D53C2311yescharacteristic, complemented
722C4⋊C4×D53C2312yescomplemented
723C4⋊C4×D53C2312yescomplemented
724C4⋊C4×D53C2312yescomplemented
725C4⋊C4×D53C2311yescharacteristic, complemented
726C4⋊C4×D53C2312yescomplemented
727C2×C22⋊Dic53C2312yes—
728C2×#11719921C2312yes—
729C2×#11719921C2312yes—
730C2×#11719921C2314yes—
731C2×#11719921C2314yes—
732C2×#11719921C2312yes—
733C2×#11719921C2312yes—
734C2×#11719921C2312yescomplemented
735C2×#11719921C2314yescomplemented
736C2×#11719921C2312yescomplemented
737C22⋊C4×D53C2312yes—
738C22⋊C4×D53C2314yes—
739C22⋊C4×D53C2314yes—
740C22⋊C4×D53C2312yes—
741C22⋊C4×D53C2314yes—
742C22⋊C4×D53C2314yes—
743C22⋊C4×D53C2314yes—
744C22⋊C4×D53C2314yes—
745C22⋊C4×D53C2314yes—
746C22⋊C4×D53C2312yes—
747C22⋊C4×D53C2314yescomplemented
748C22⋊C4×D53C2314yescomplemented
749C22⋊C4×D53C2312yescomplemented
750C22⋊C4×D53C2314yescomplemented
751C22⋊C4×D53C2312yescomplemented
752C42×D53C2312yescomplemented
753C2×#41×C53C2311yescharacteristic
754C2×#41×C53C2314yescomplemented
755C22×D4×C53C2311yescharacteristic
756C22×D4×C53C2312yes—
757C23×C4×C53C2311yescharacteristic
758C4⋊Q8×C53C2312yescomplemented
759C4⋊Q8×C53C2312yescomplemented
760#127×C53C2312yescomplemented
761#126×C53C2314yescomplemented
762#126×C53C2314yescomplemented
763#125×C53C2312yescomplemented
764#125×C53C2312yescomplemented
765#124×C53C2312yescomplemented
766#124×C53C2314yescomplemented
767#124×C53C2314yescomplemented
768#123×C53C2312yes—
769#123×C53C2314yescomplemented
770#123×C53C2314yescomplemented
771#123×C53C2314yescomplemented
772#123×C53C2314yescomplemented
773C22⋊Q8×C53C2314yes—
774C22⋊Q8×C53C2314yescomplemented
775C22⋊Q8×C53C2311yescharacteristic, complemented
776C22⋊Q8×C53C2311yescharacteristic, complemented
777#121×C53C2312yes—
778#121×C53C2312yes—
779#121×C53C2312yes—
780#121×C53C2312yes—
781#121×C53C2312yescomplemented
782#121×C53C2312yescomplemented
783#121×C53C2311yescharacteristic, complemented
784#121×C53C2311yescharacteristic, complemented
785#121×C53C2314yescomplemented
786#121×C53C2314yescomplemented
787#121×C53C2314yescomplemented
788#120×C53C2312yes—
789#120×C53C2314yes—
790C4×Q8×C53C2312yescomplemented
791C4×D4×C53C2314yes—
792C4×D4×C53C2312yescomplemented
793C4×D4×C53C2312yescomplemented
794C4×D4×C53C2312yescomplemented
795C4×D4×C53C2312yescomplemented
796C4×D4×C53C2312yescomplemented
797C4×D4×C53C2314yescomplemented
798C4×D4×C53C2312yescomplemented
799C4×D4×C53C2312yescomplemented
800C4×D4×C53C2314yescomplemented
801#117×C53C2311yescharacteristic
802#117×C53C2312yes—
803#117×C53C2311yescharacteristic
804#117×C53C2311yescharacteristic
805#117×C53C2311yescharacteristic, complemented
806#117×C53C2312yescomplemented
807#117×C53C2311yescharacteristic, complemented
808#117×C53C2314yescomplemented
809#117×C53C2312yescomplemented
810C2×C4⋊C4×C53C2311yescharacteristic
811C2×C4⋊C4×C53C2311yescharacteristic, complemented
812C2×C4⋊C4×C53C2312yescomplemented
813C2×C4⋊C4×C53C2311yescharacteristic, complemented
814C2×C22⋊C4×C53C2312yes—
815C2×C22⋊C4×C53C2314yes—
816C2×C22⋊C4×C53C2312yes—
817C2×C42×C53C2312yescomplemented
818C24×C53C2411yescharacteristic
819C24×C53C2412yes—
820C23×D53—24no—
821C23×D53—42no—
822C23×D53—44no—
823C23×D53—44no—
824C23×D53—42no—
825C23×D53—44no—
826C23×D53C2411yescharacteristic
827C23×D53C2411yescharacteristic
828C23×D53C2411yescharacteristic
829C23×D53C2411yescharacteristic
830C23×D53C2414yes—
831C23×D53C2414yes—
832C23×D53C2412yes—
833C23×D53C2412yes—
834C23×D53C2412yes—
835C23×D53C2411yescharacteristic
836C23×D53C2414yes—
837C23×D53C2414yes—
838C23×D53C2411yescharacteristic
839#41×C53—24no—
840#41×C53—48no—
841C2×Q8×C53C2411yescharacteristic
842C2×Q8×C53C2414yes—
843C2×D4×C53—24no—
844C2×D4×C53—44no—
845C2×D4×C53C2412yes—
846C2×D4×C53C2412yes—
847C2×D4×C53C2412yes—
848C2×D4×C53C2411yescharacteristic
849C2×D4×C53C2412yes—
850C2×D4×C53C2414yes—
851C2×D4×C53C2412yes—
852C2×D4×C53C2414yes—
853C2×D4×C53C2414yes—
854C2×D4×C53C2414yes—
855C22×C4×C53—24no—
856C22×C4×C53C2411yescharacteristic
857C22×C4×C53C2412yes—
858C22×C4×C53C2411yescharacteristic
859C22×C4×C53C2411yescharacteristic
860C22×C4×C53C2412yes—
861C22×C4×C53C2411yescharacteristic
862C22×C4×C53C2411yescharacteristic
863C22×C4×C53C2412yes—
864C22×C4×C53C2412yes—
865C22×C4×C53C2414yes—
866C22×C4×C53C2414yes—
867C22×C4×C53C2414yes—
868C22×C4×C53C2411yescharacteristic
869C2×C22⋊D53—44no—
870C2×C22⋊D53—44no—
871C2×C22⋊D53—44no—
872C2×C22⋊D53—44no—
873C2×C22⋊D53—48no—
874C2×C22⋊D53C2412yes—
875C2×C22⋊D53C2412yes—
876C2×C22⋊D53C2412yes—
877C2×C22⋊D53C2412yes—
878C2×C22⋊D53C2414yes—
879C2×C22⋊D53C2412yes—
880C2×C22⋊D53C2414yes—
881C2×C22⋊D53C2412yes—
882C2×C22⋊D53C2414yes—
883C2×C22⋊D53C2412yes—
884C2×C22⋊D53C2412yes—
885C2×C22⋊D53C2414yes—
886C2×C22⋊D53C2412yes—
887C2×C22⋊D53C2412yes—
888C2×C22⋊D53C2412yes—
889C2×C22⋊D53C2414yes—
890C2×C22⋊D53C2414yes—
891C2×C22⋊D53C2414yes—
892C2×C22⋊D53C2414yes—
893C2×C22⋊D53C2414yes—
894C2×C22⋊D53C2414yes—
895C2×C22⋊D53C2414yes—
896C2×C22⋊D53C2414yes—
897C22×Dic53—42no—
898C22×Dic53C2411yescharacteristic
899C22×Dic53C2411yescharacteristic
900C22×Dic53C2412yes—
901C22×Dic53C2414yes—
902C22×Dic53C2412yes—
903C22×Dic53C2411yescharacteristic
904C22×Dic53C2411yescharacteristic
905C22×Dic53C2412yes—
906C22×Dic53C2411yescharacteristic
907C22×Dic53C2411yescharacteristic
908#11719949—48no—
909#11719949—48no—
910#11719949—42no—
911#11719949—44no—
912Q8×D53—42no—
913#11719947—42no—
914#11719947—44no—
915#11719947—44no—
916#11719947—44no—
917D4×D53—216no—
918D4×D53—28no—
919D4×D53—44no—
920D4×D53—44no—
921D4×D53—44no—
922D4×D53—44no—
923D4×D53—42no—
924D4×D53—44no—
925D4×D53—44no—
926D4×D53—44no—
927D4×D53—48no—
928D4×D53—48no—
929D4×D53—44no—
930D4×D53—48no—
931D4×D53—48no—
932D4×D53—48no—
933D4×D53—48no—
934D4×D53—44no—
935D4×D53—48no—
936D4×D53—48no—
937D4×D53—48no—
938#11719945—24no—
939#11719945—24no—
940#11719945—24no—
941#11719945—42no—
942#11719945—42no—
943#11719945—44no—
944#11719945—44no—
945#11719945—44no—
946#11719945—48no—
947#11719945—48no—
948#11719945—44no—
949#11719945—48no—
950C2×D212—28no—
951C2×D212—24no—
952C2×D212—42no—
953C2×D212—44no—
954C2×D212—44no—
955C2×D212—48no—
956C2×D212—44no—
957C2×D212—48no—
958C2×D212—48no—
959C2×D212C2412yes—
960C2×D212C2412yes—
961C2×D212C2412yes—
962C2×D212C2412yes—
963C2×D212C2411yescharacteristic
964C2×D212C2414yes—
965C2×D212C2412yes—
966C2×D212C2412yes—
967C2×D212C2412yes—
968C2×D212C2412yes—
969C2×D212C2412yes—
970C2×D212C2412yes—
971C2×D212C2411yescharacteristic
972C2×D212C2411yescharacteristic
973C2×D212C2414yes—
974C2×D212C2414yes—
975C2×D212C2412yes—
976C2×D212C2412yes—
977C2×D212C2412yes—
978C2×D212C2414yes—
979C2×D212C2414yes—
980C2×D212C2414yes—
981C2×D212C2412yes—
982C2×D212C2414yes—
983C2×D212C2414yes—
984C2×C4×D53—24no—
985C2×C4×D53—24no—
986C2×C4×D53—42no—
987C2×C4×D53—42no—
988C2×C4×D53—42no—
989C2×C4×D53—42no—
990C2×C4×D53—42no—
991C2×C4×D53—42no—
992C2×C4×D53—42no—
993C2×C4×D53—42no—
994C2×C4×D53—44no—
995C2×C4×D53—44no—
996C2×C4×D53—44no—
997C2×C4×D53—42no—
998C2×C4×D53—42no—
999C2×C4×D53C2411yescharacteristic
1000C2×C4×D53C2412yes—
1001C2×C4×D53C2414yes—
1002C2×C4×D53C2411yescharacteristic
1003C2×C4×D53C2411yescharacteristic
1004C2×C4×D53C2411yescharacteristic
1005C2×C4×D53C2411yescharacteristic
1006C2×C4×D53C2411yescharacteristic
1007C2×C4×D53C2412yes—
1008C2×C4×D53C2412yes—
1009C2×C4×D53C2412yes—
1010C2×C4×D53C2411yescharacteristic
1011C2×C4×D53C2411yescharacteristic
1012C2×C4×D53C2412yes—
1013C2×C4×D53C2411yescharacteristic
1014C2×C4×D53C2411yescharacteristic
1015C2×C4×D53C2411yescharacteristic
1016C2×C4×D53C2411yescharacteristic
1017C2×C4×D53C2414yes—
1018C2×C4×D53C2412yes—
1019C2×C4×D53C2414yes—
1020C2×C4×D53C2414yes—
1021C2×C4×D53C2414yes—
1022C2×C4×D53C2411yescharacteristic
1023C2×C4×D53C2411yescharacteristic
1024C2×C4×D53C2412yes—
1025C2×C4×D53C2412yes—
1026C2×C4×D53C2412yes—
1027C2×C4×D53C2414yes—
1028C2×C4×D53C2414yes—
1029C2×C4×D53C2414yes—
1030C2×C4×D53C2411yescharacteristic
1031C2×C4×D53C2411yescharacteristic
1032C2×Dic106—42no—
1033C2×Dic106C2411yescharacteristic
1034C2×Dic106C2411yescharacteristic
1035C2×Dic106C2411yescharacteristic
1036C2×Dic106C2414yes—
1037C2×Dic106C2412yes—
1038C2×Dic106C2412yes—
1039C4⋊C4×C53C2412yes—
1040C4⋊C4×C53C2412yes—
1041C4⋊C4×C53C2411yescharacteristic
1042C4⋊C4×C53C2411yescharacteristic
1043C4⋊C4×C53C2411yescharacteristic
1044C4⋊C4×C53C2411yescharacteristic
1045C4⋊C4×C53C2412yes—
1046C4⋊C4×C53C2412yes—
1047C4⋊C4×C53C2414yes—
1048C4⋊C4×C53C2411yescharacteristic
1049C4⋊C4×C53C2411yescharacteristic
1050C4⋊C4×C53C2412yes—
1051C4⋊C4×C53C2414yes—
1052C4⋊C4×C53C2414yes—
1053C4⋊C4×C53C2414yes—
1054C4⋊C4×C53C2412yes—
1055C22⋊C4×C53C2412yes—
1056C22⋊C4×C53C2412yes—
1057C22⋊C4×C53C2412yes—
1058C22⋊C4×C53C2412yes—
1059C22⋊C4×C53C2412yes—
1060C22⋊C4×C53C2414yes—
1061C22⋊C4×C53C2414yes—
1062C22⋊C4×C53C2414yes—
1063C22⋊C4×C53C2414yes—
1064C22⋊C4×C53C2414yes—
1065C22⋊C4×C53C2414yes—
1066C22⋊C4×C53C2412yes—
1067C22⋊C4×C53C2412yes—
1068C22⋊C4×C53C2414yes—
1069C22⋊C4×C53C2412yes—
1070C22⋊C4×C53C2412yes—
1071C42×C53C2412yes—
1072C42×C53C2412yes—
1073C42×C53C2412yes—
1074C42×C53C2412yes—
1075C42×C53C2412yes—
1076C42×C53C2414yes—
1077C22⋊Dic53C2412yes—
1078C22⋊Dic53C2414yes—
1079C22⋊Dic53C2414yes—
1080C22⋊Dic53C2414yes—
1081C22⋊Dic53C2412yes—
1082C22⋊Dic53C2414yes—
1083C22⋊Dic53C2412yes—
1084C22⋊Dic53C2412yes—
1085C22⋊Dic53C2412yes—
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#11719921C2412yes—
1102#11719921C2412yes—
1103#11719921C2414yes—
1104#11719921C2412yes—
1105#11719921C2412yes—
1106#11719921C2412yes—
1107#11719921C2414yes—
1108#11719921C2414yes—
1109#11719921C2412yes—
1110#11719921C2412yes—
1111#11719921C2414yes—
1112#11719921C2412yes—
1113#11719921C2414yes—
1114#11719921C2412yes—
1115#11719921C2414yes—
1116#11719921C2412yes—
1117#11719921C2412yes—
1118#11719921C2412yes—
1119#11719921C2414yes—
1120#11719921C2412yes—
1121#11719921C2412yes—
1122#11719921C2412yes—
1123#11719921C2412yes—
1124#11719921C2412yes—
1125#11719921C2412yes—
1126#11719921C2414yes—
1127#11719921C2414yes—
1128#11719921C2414yes—
1129C4⋊Dic53C2412yes—
1130C4⋊Dic53C2412yes—
1131C4⋊Dic53C2411yescharacteristic
1132C4⋊Dic53C2411yescharacteristic
1133C4⋊Dic53C2412yes—
1134C4⋊Dic53C2412yes—
1135C4⋊Dic53C2412yes—
1136C4⋊Dic53C2412yes—
1137C4⋊Dic53C2412yes—
1138C4⋊Dic53C2412yes—
1139C4⋊Dic53C2412yes—
1140C4⋊Dic53C2412yes—
1141C4⋊Dic53C2412yes—
1142C4⋊Dic53C2412yes—
1143C4⋊Dic53C2414yes—
1144C4⋊Dic53C2414yes—
1145#11719919C2414yes—
1146#11719919C2414yes—
1147#11719919C2412yes—
1148#11719919C2412yes—
1149#11719919C2412yes—
1150#11719919C2412yes—
1151#11719919C2414yes—
1152#11719919C2414yes—
1153#11719919C2412yes—
1154#11719919C2412yes—
1155#11719919C2414yes—
1156#11719919C2414yes—
1157#11719919C2414yes—
1158#11719919C2414yes—
1159C4×Dic53C2412yes—
1160C4×Dic53C2412yes—
1161C4×Dic53C2412yes—
1162C4×Dic53C2414yes—
1163C4×Dic53C2414yes—
1164C4×Dic53C2414yes—
1165C23×C53—22no—
1166C23×C53—22no—
1167C23×C53—24no—
1168C23×C53—41no—
1169C23×C53—42no—
1170C23×C53—42no—
1171C23×C53C2511yescharacteristic
1172C23×C53C2512yes—
1173C23×C53C2514yes—
1174C23×C53C2511yescharacteristic
1175C23×C53C2511yescharacteristic
1176C22×D53—22no—
1177C22×D53—22no—
1178C22×D53—22no—
1179C22×D53—22no—
1180C22×D53—22no—
1181C22×D53—24no—
1182C22×D53—24no—
1183C22×D53—22no—
1184C22×D53—22no—
1185C22×D53—22no—
1186C22×D53—22no—
1187C22×D53—22no—
1188C22×D53—24no—
1189C22×D53—28no—
1190C22×D53—28no—
1191C22×D53—41no—
1192C22×D53—41no—
1193C22×D53—41no—
1194C22×D53—41no—
1195C22×D53—41no—
1196C22×D53—41no—
1197C22×D53—41no—
1198C22×D53—42no—
1199C22×D53—42no—
1200C22×D53—42no—
1201C22×D53—42no—
1202C22×D53—44no—
1203C22×D53—44no—
1204C22×D53—44no—
1205C22×D53—42no—
1206C22×D53—44no—
1207C22×D53—42no—
1208C22×D53—44no—
1209C22×D53—44no—
1210C22×D53—44no—
1211C22×D53—44no—
1212C22×D53—44no—
1213C22×D53—44no—
1214C22×D53—416no—
1215C22×D53—816no—
1216C22×D53H(5,𝔽2)14yescomplemented
1217C22×D53C2511yescharacteristic
1218C22×D53C2512yes—
1219C22×D53C2512yes—
1220C22×D53C2512yes—
1221C22×D53C2514yes—
1222C22×D53C2511yescharacteristic
1223C22×D53C2511yescharacteristic
1224C22×D53C2511yescharacteristic
1225Q8×C53—22no—
1226Q8×C53—44no—
1227D4×C53—28no—
1228D4×C53—24no—
1229D4×C53—24no—
1230D4×C53—24no—
1231D4×C53—24no—
1232D4×C53—22no—
1233D4×C53—44no—
1234D4×C53—44no—
1235D4×C53—44no—
1236D4×C53—42no—
1237C2×C4×C53—22no—
1238C2×C4×C53—24no—
1239C2×C4×C53—22no—
1240C2×C4×C53—22no—
1241C2×C4×C53—22no—
1242C2×C4×C53—22no—
1243C2×C4×C53—24no—
1244C2×C4×C53—42no—
1245C2×C4×C53—44no—
1246C2×C4×C53—44no—
1247C2×C4×C53—42no—
1248C2×C4×C53—44no—
1249C2×C4×C53H(5,𝔽2)14yescomplemented
1250C2×C4×C53C2511yescharacteristic
1251C2×C4×C53C2512yes—
1252C2×C4×C53C2512yes—
1253C2×C4×C53C2511yescharacteristic
1254C2×C4×C53C2512yes—
1255C2×C4×C53C2514yes—
1256C2×C4×C53C2512yes—
1257C2×C4×C53C2512yes—
1258C2×C4×C53C2512yes—
1259C2×C4×C53C2512yes—
1260C2×C4×C53C2511yescharacteristic
1261C2×C4×C53C2511yescharacteristic
1262C22⋊D53—24no—
1263C22⋊D53—24no—
1264C22⋊D53—24no—
1265C22⋊D53—24no—
1266C22⋊D53—28no—
1267C22⋊D53—24no—
1268C22⋊D53—28no—
1269C22⋊D53—24no—
1270C22⋊D53—42no—
1271C22⋊D53—42no—
1272C22⋊D53—44no—
1273C22⋊D53—44no—
1274C22⋊D53—44no—
1275C22⋊D53—42no—
1276C22⋊D53—42no—
1277C22⋊D53—44no—
1278C22⋊D53—44no—
1279C22⋊D53—44no—
1280C22⋊D53—44no—
1281C22⋊D53—44no—
1282C22⋊D53—44no—
1283C22⋊D53—42no—
1284C22⋊D53—44no—
1285C2×Dic53—22no—
1286C2×Dic53—22no—
1287C2×Dic53—42no—
1288C2×Dic53—41no—
1289C2×Dic53—41no—
1290C2×Dic53—41no—
1291C2×Dic53—41no—
1292C2×Dic53—42no—
1293C2×Dic53—42no—
1294C2×Dic53—44no—
1295C2×Dic53C2512yes—
1296C2×Dic53C2511yescharacteristic
1297C2×Dic53C2512yes—
1298C2×Dic53C2512yes—
1299C2×Dic53C2512yes—
1300C2×Dic53C2514yes—
1301C2×Dic53C2511yescharacteristic
1302C2×Dic53C2511yescharacteristic
1303C2×Dic53C2511yescharacteristic
1304C2×Dic53C2512yes—
1305D212—24no—
1306D212—24no—
1307D212—24no—
1308D212—24no—
1309D212—28no—
1310D212—24no—
1311D212—24no—
1312D212—24no—
1313D212—24no—
1314D212—24no—
1315D212—24no—
1316D212—22no—
1317D212—22no—
1318D212—22no—
1319D212—44no—
1320D212—42no—
1321D212—44no—
1322D212—44no—
1323D212—42no—
1324D212—42no—
1325D212—44no—
1326D212—44no—
1327D212—44no—
1328D212—44no—
1329D212—42no—
1330C4×D53—28no—
1331C4×D53—24no—
1332C4×D53—22no—
1333C4×D53—22no—
1334C4×D53—22no—
1335C4×D53—22no—
1336C4×D53—22no—
1337C4×D53—22no—
1338C4×D53—22no—
1339C4×D53—22no—
1340C4×D53—24no—
1341C4×D53—24no—
1342C4×D53—24no—
1343C4×D53—41no—
1344C4×D53—41no—
1345C4×D53—41no—
1346C4×D53—41no—
1347C4×D53—41no—
1348C4×D53—41no—
1349C4×D53—41no—
1350C4×D53—41no—
1351C4×D53—42no—
1352C4×D53—42no—
1353C4×D53—44no—
1354C4×D53—42no—
1355C4×D53—42no—
1356C4×D53—44no—
1357C4×D53—44no—
1358C4×D53—44no—
1359C4×D53—44no—
1360C4×D53—44no—
1361C4×D53—44no—
1362C4×D53—42no—
1363Dic106—22no—
1364Dic106—22no—
1365Dic106—22no—
1366Dic106—42no—
1367Dic106—44no—
1368Dic106—42no—
1369#62818—531nomaximal, Sylow
1370C22×C53—21no—
1371C22×C53—21no—
1372C22×C53—21no—
1373C22×C53—21no—
1374C22×C53—21no—
1375C22×C53—22no—
1376C22×C53—24no—
1377C22×C53—22no—
1378C22×C53—24no—
1379C22×C53—21no—
1380C22×C53—22no—
1381C22×C53—21no—
1382C22×C53—24no—
1383C22×C53—44no—
1384C22×C53—84no—
1385C22×C53C2×H(5,𝔽2)12yes—
1386C22×C53C2×H(5,𝔽2)12yes—
1387C22×C53C2611yescharacteristic
1388C2×D53—28no—
1389C2×D53—21no—
1390C2×D53—21no—
1391C2×D53—21no—
1392C2×D53—21no—
1393C2×D53—21no—
1394C2×D53—21no—
1395C2×D53—21no—
1396C2×D53—22no—
1397C2×D53—22no—
1398C2×D53—22no—
1399C2×D53—22no—
1400C2×D53—22no—
1401C2×D53—22no—
1402C2×D53—24no—
1403C2×D53—24no—
1404C2×D53—21no—
1405C2×D53—24no—
1406C2×D53—22no—
1407C2×D53—22no—
1408C2×D53—22no—
1409C2×D53—21no—
1410C2×D53—44no—
1411C2×D53—44no—
1412C2×D53—44no—
1413C2×D53—44no—
1414C2×D53—44no—
1415C2×D53—84no—
1416C2×D53—88no—
1417C2×D53—88no—
1418C2×D53—84no—
1419C2×D53—84no—
1420C2×D53—164no—
1421C2×D53—164no—
1422C2×D53C2×H(5,𝔽2)12yes—
1423C2×D53C2×H(5,𝔽2)12yes—
1424C2×D53#58512yes—
1425C4×C53—21no—
1426C4×C53—22no—
1427C4×C53—22no—
1428C4×C53—24no—
1429C4×C53—22no—
1430C4×C53—21no—
1431C4×C53—22no—
1432C4×C53—22no—
1433C4×C53—22no—
1434C4×C53—22no—
1435C4×C53C2×H(5,𝔽2)12yes—
1436C4×C53C2×H(5,𝔽2)12yes—
1437Dic53—22no—
1438Dic53—22no—
1439Dic53—22no—
1440Dic53—21no—
1441Dic53—22no—
1442Dic53—24no—
1443Dic53—21no—
1444Dic53—21no—
1445Dic53—21no—
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#3494D5311yescharacteristic, complemented
1469#3492—531no—
1470#3492—531no—
1471#3490—534no—
1472#3488—531no—
1473#3488—531no—
1474#3488—531no—
1475#3488—531no—
1476#3484—534no—
1477#3484—531no—
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×C53C22×H(5,𝔽2)11yescharacteristic
1488C2×C53C22×H(5,𝔽2)11yescharacteristic
1489C2×C53C2×#58511yescharacteristic
1490D53—22no—
1491D53—22no—
1492D53—22no—
1493D53—41no—
1494D53—44no—
1495D53—42no—
1496D53—42no—
1497D53—42no—
1498C2×H(5,𝔽2)—531no—
1499C2×H(5,𝔽2)—534no—
1500C2×H(5,𝔽2)—531no—
1501C22×#41—531no—
1502C22×#41—531no—
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#555C2×D5312yescomplemented
1518#554—532no—
1519#554—532no—
1520#554—532no—
1521#554—532no—
1522#553—534no—
1523#553—532no—
1524#553—532no—
1525#553—532no—
1526#553—532no—
1527#553—534no—
1528#553—534no—
1529#553—532no—
1530#553—532no—
1531#553—532no—
1532#553—532no—
1533#553—532no—
1534#553—534no—
1535#553—532no—
1536#553C2×D5312yescomplemented
1537#553C2×D5312yescomplemented
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#551C2×D5314yescomplemented
1550#550—532no—
1551#550—532no—
1552#550—532no—
1553#550—532no—
1554#548—532no—
1555#548—532no—
1556#548—532no—
1557#548—532no—
1558#547—532no—
1559#547—532no—
1560#547—532no—
1561#547—532no—
1562#547—532no—
1563#547—532no—
1564#547—532no—
1565#547C2×D5312yescomplemented
1566#546—534no—
1567#546—534no—
1568#546—532no—
1569#546—534no—
1570#546—532no—
1571#546—532no—
1572#546—534no—
1573#546—534no—
1574#546—534no—
1575#546—534no—
1576#546—534no—
1577#546—534no—
1578#546—534no—
1579#546—534no—
1580#546—534no—
1581#546—532no—
1582#546—532no—
1583#546—532no—
1584#546—534no—
1585#546—534no—
1586#546—532no—
1587#546—532no—
1588#546—532no—
1589#546—532no—
1590#546—532no—
1591#546—532no—
1592#546—534no—
1593#546—534no—
1594#546—534no—
1595#546—534no—
1596#546—534no—
1597#546C2×D5314yescomplemented
1598D42—534no—
1599D42—532no—
1600D42—532no—
1601D42—532no—
1602D42—532no—
1603D42—532no—
1604D42—532no—
1605D42—534no—
1606D42—534no—
1607D42—534no—
1608D42—534no—
1609D42—534no—
1610D42—534no—
1611D42—532no—
1612D42—532no—
1613D42—532no—
1614D42—532no—
1615D42—534no—
1616D42—532no—
1617D42—532no—
1618#544—531no—
1619#544C2×D5311yescharacteristic, complemented
1620#543—534no—
1621#542—532no—
1622#542—532no—
1623#542—532no—
1624#542C2×D5312yescomplemented
1625#540—532no—
1626#540—534no—
1627#540—534no—
1628#540—532no—
1629#540—534no—
1630#540—532no—
1631#540—534no—
1632#540C2×D5312yescomplemented
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—534no—
1649#537—532no—
1650#537—534no—
1651#537—532no—
1652#537—532no—
1653#537—531no—
1654#537—532no—
1655#535—531no—
1656#535—534no—
1657#535—532no—
1658#535—534no—
1659#535—532no—
1660#535—532no—
1661#535—531no—
1662#535—531no—
1663#535—532no—
1664#535C2×D5311yescharacteristic, complemented
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#532C2×D5312yescomplemented
1678#529—532no—
1679#529—532no—
1680#529—532no—
1681#529C2×D5312yescomplemented
1682#525—531no—
1683#525—531no—
1684#525—532no—
1685#525—534no—
1686#525—531no—
1687#525—531no—
1688#525—532no—
1689#525—532no—
1690#525—531no—
1691#525—531no—
1692#525—532no—
1693#525—532no—
1694#525—534no—
1695#525—532no—
1696#525—532no—
1697#525—531no—
1698#525—531no—
1699#525—531no—
1700#525—531no—
1701#525—531no—
1702#525—532no—
1703#525—532no—
1704#525—531no—
1705#525—531no—
1706#525—532no—
1707#525—532no—
1708#525—531no—
1709#525—531no—
1710#525—532no—
1711#525C2×D5311yescharacteristic, complemented
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—532no—
1722C2×#121—532no—
1723C2×#121—532no—
1724C2×#121—532no—
1725C2×#121—532no—
1726C2×#121—532no—
1727C2×#121—532no—
1728C2×#121—532no—
1729C2×#121—532no—
1730C2×#121—531no—
1731C2×#121—531no—
1732C2×#121—532no—
1733C2×#121—532no—
1734C2×#121—531no—
1735C2×#121—531no—
1736C2×#121—531no—
1737C2×#121—532no—
1738C2×#121—532no—
1739C2×#121C2×D5311yescharacteristic, complemented
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—534no—
1749#518—534no—
1750#518—531no—
1751#518—534no—
1752#518C2×D5311yescharacteristic, complemented
1753C2×C4×D4—532no—
1754C2×C4×D4—532no—
1755C2×C4×D4—532no—
1756C2×C4×D4—532no—
1757C2×#117—531no—
1758C2×#117C2×D5311yescharacteristic, complemented
1759C22×C4⋊C4—531no—
1760C22×C22⋊C4—532no—
1761C53#6281811yescharacteristic, complemented, Sylow
1762C25—531no—
1763C25—532no—
1764H(5,𝔽2)—2124no—
1765H(5,𝔽2)—21216no—
1766H(5,𝔽2)—2124no—
1767C2×#41—531no—
1768C2×#41—534no—
1769C2×#41—532no—
1770C2×#41—534no—
1771C2×#41—532no—
1772C2×#41—531no—
1773C2×#41—532no—
1774C2×#41—532no—
1775C2×#41—531no—
1776C2×#41—531no—
1777C2×#41—531no—
1778C2×#41—532no—
1779C2×#41—532no—
1780C2×#41—532no—
1781C2×#41—531no—
1782C2×#41—531no—
1783C2×#41—534no—
1784C2×#41—532no—
1785C2×#41—534no—
1786C2×#41—534no—
1787C2×#41—2124no—
1788C2×#41—2124no—
1789C2×#41C22×D5311yescharacteristic
1790C2×#41C22×D5314yescomplemented
1791C22×Q8—531no—
1792C22×Q8—531no—
1793C22×D4—532no—
1794C22×D4—534no—
1795C22×D4—532no—
1796C22×D4—532no—
1797C22×D4—532no—
1798C22×D4—532no—
1799C22×D4—534no—
1800C22×D4—532no—
1801C22×D4—534no—
1802C22×D4—532no—
1803C22×D4—534no—
1804C22×D4—534no—
1805C22×D4—534no—
1806C22×D4—531no—
1807C22×D4—532no—
1808C22×D4—532no—
1809C22×D4—532no—
1810C22×D4—532no—
1811C22×D4—534no—
1812C22×D4—534no—
1813C22×D4—534no—
1814C22×D4—534no—
1815C22×D4—534no—
1816C22×D4—532no—
1817C22×D4—532no—
1818C22×D4—532no—
1819C22×D4—532no—
1820C22×D4—531no—
1821C22×D4—532no—
1822C22×D4—534no—
1823C22×D4—534no—
1824C22×D4—531no—
1825C22×D4—532no—
1826C22×D4—534no—
1827C22×D4—532no—
1828C22×D4—2124no—
1829C22×D4—2128no—
1830C22×D4C22×D5311yescharacteristic
1831C22×D4C22×D5312yes—
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—532no—
1843C23×C4—531no—
1844C23×C4—531no—
1845C23×C4—531no—
1846C23×C4—531no—
1847C23×C4—531no—
1848C23×C4—2124no—
1849C23×C4C22×D5311yescharacteristic
1850C4⋊Q8—532no—
1851C4⋊Q8—532no—
1852C4⋊Q8C22×D5312yescomplemented
1853C4⋊Q8C22×D5312yescomplemented
1854#127—532no—
1855#127—534no—
1856#127—534no—
1857#127—534no—
1858#127—532no—
1859#127—532no—
1860#127—534no—
1861#127C22×D5312yescomplemented
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#126C22×D5314yescomplemented
1873#126C22×D5314yescomplemented
1874#125—532no—
1875#125—534no—
1876#125—534no—
1877#125—534no—
1878#125—532no—
1879#125—534no—
1880#125C22×D5312yescomplemented
1881#125C22×D5312yescomplemented
1882#124—534no—
1883#124—534no—
1884#124—532no—
1885#124—534no—
1886#124—534no—
1887#124—534no—
1888#124—534no—
1889#124—534no—
1890#124—534no—
1891#124—532no—
1892#124—532no—
1893#124—534no—
1894#124—534no—
1895#124C22×D5312yescomplemented
1896#124C22×D5314yescomplemented
1897#124C22×D5314yescomplemented
1898#123—532no—
1899#123—532no—
1900#123—534no—
1901#123—534no—
1902#123—534no—
1903#123—534no—
1904#123—532no—
1905#123—532no—
1906#123—534no—
1907#123—534no—
1908#123—534no—
1909#123—534no—
1910#123—534no—
1911#123—534no—
1912#123—534no—
1913#123—534no—
1914#123—534no—
1915#123—534no—
1916#123—534no—
1917#123—534no—
1918#123—532no—
1919#123—532no—
1920#123—532no—
1921#123—532no—
1922#123—532no—
1923#123—532no—
1924#123—532no—
1925#123—532no—
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#123C22×D5312yes—
1942#123C22×D5314yescomplemented
1943#123C22×D5314yescomplemented
1944#123C22×D5314yescomplemented
1945#123C22×D5314yescomplemented
1946C22⋊Q8—531no—
1947C22⋊Q8—531no—
1948C22⋊Q8—532no—
1949C22⋊Q8—534no—
1950C22⋊Q8—534no—
1951C22⋊Q8—534no—
1952C22⋊Q8—534no—
1953C22⋊Q8—531no—
1954C22⋊Q8—531no—
1955C22⋊Q8—532no—
1956C22⋊Q8—534no—
1957C22⋊Q8—534no—
1958C22⋊Q8—531no—
1959C22⋊Q8—531no—
1960C22⋊Q8—531no—
1961C22⋊Q8—531no—
1962C22⋊Q8—532no—
1963C22⋊Q8—532no—
1964C22⋊Q8—532no—
1965C22⋊Q8—531no—
1966C22⋊Q8—531no—
1967C22⋊Q8—531no—
1968C22⋊Q8—531no—
1969C22⋊Q8—531no—
1970C22⋊Q8—531no—
1971C22⋊Q8—532no—
1972C22⋊Q8—532no—
1973C22⋊Q8—532no—
1974C22⋊Q8—532no—
1975C22⋊Q8—532no—
1976C22⋊Q8—534no—
1977C22⋊Q8—534no—
1978C22⋊Q8—534no—
1979C22⋊Q8—534no—
1980C22⋊Q8—534no—
1981C22⋊Q8—532no—
1982C22⋊Q8—532no—
1983C22⋊Q8—534no—
1984C22⋊Q8—534no—
1985C22⋊Q8—534no—
1986C22⋊Q8C22×D5314yes—
1987C22⋊Q8C22×D5311yescharacteristic, complemented
1988C22⋊Q8C22×D5311yescharacteristic, complemented
1989C22⋊Q8C22×D5314yescomplemented
1990#121—532no—
1991#121—534no—
1992#121—532no—
1993#121—534no—
1994#121—532no—
1995#121—534no—
1996#121—532no—
1997#121—534no—
1998#121—532no—
1999#121—531no—
2000#121—531no—
2001#121—532no—
2002#121—534no—
2003#121—534no—
2004#121—532no—
2005#121—532no—
2006#121—534no—
2007#121—532no—
2008#121—534no—
2009#121—534no—
2010#121—534no—
2011#121—534no—
2012#121—534no—
2013#121—534no—
2014#121—534no—
2015#121—532no—
2016#121—531no—
2017#121—532no—
2018#121—532no—
2019#121—532no—
2020#121—531no—
2021#121—532no—
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—532no—
2032#121—531no—
2033#121—531no—
2034#121—532no—
2035#121—532no—
2036#121—532no—
2037#121—532no—
2038#121—532no—
2039#121—531no—
2040#121—531no—
2041#121—531no—
2042#121—531no—
2043#121—531no—
2044#121—531no—
2045#121—531no—
2046#121—531no—
2047#121—532no—
2048#121—532no—
2049#121—534no—
2050#121—532no—
2051#121—532no—
2052#121—532no—
2053#121—532no—
2054#121—534no—
2055#121—534no—
2056#121—532no—
2057#121—532no—
2058#121—534no—
2059#121—534no—
2060#121—534no—
2061#121—534no—
2062#121—534no—
2063#121—534no—
2064#121—534no—
2065#121—534no—
2066#121—534no—
2067#121—532no—
2068#121—532no—
2069#121—534no—
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#121—534no—
2079#121—534no—
2080#121—534no—
2081#121—534no—
2082#121—534no—
2083#121C22×D5312yes—
2084#121C22×D5312yes—
2085#121C22×D5312yes—
2086#121C22×D5312yes—
2087#121C22×D5311yescharacteristic, complemented
2088#121C22×D5311yescharacteristic, complemented
2089#121C22×D5312yescomplemented
2090#121C22×D5312yescomplemented
2091#121C22×D5314yescomplemented
2092#121C22×D5314yescomplemented
2093#121C22×D5314yescomplemented
2094#120—532no—
2095#120—534no—
2096#120—532no—
2097#120—532no—
2098#120—532no—
2099#120—534no—
2100#120—534no—
2101#120—534no—
2102#120—534no—
2103#120—534no—
2104#120—534no—
2105#120—534no—
2106#120—534no—
2107#120—534no—
2108#120—532no—
2109#120—532no—
2110#120—532no—
2111#120—532no—
2112#120—532no—
2113#120—532no—
2114#120—532no—
2115#120—532no—
2116#120—532no—
2117#120—532no—
2118#120—532no—
2119#120—534no—
2120#120—534no—
2121#120—534no—
2122#120—534no—
2123#120—534no—
2124#120—534no—
2125#120—534no—
2126#120—534no—
2127#120—534no—
2128#120—534no—
2129#120—534no—
2130#120—534no—
2131#120—534no—
2132#120—534no—
2133#120—534no—
2134#120—534no—
2135#120—534no—
2136#120C22×D5312yes—
2137#120C22×D5314yes—
2138C4×Q8—532no—
2139C4×Q8—532no—
2140C4×Q8—532no—
2141C4×Q8C22×D5312yescomplemented
2142C4×D4—532no—
2143C4×D4—532no—
2144C4×D4—534no—
2145C4×D4—534no—
2146C4×D4—532no—
2147C4×D4—532no—
2148C4×D4—532no—
2149C4×D4—532no—
2150C4×D4—534no—
2151C4×D4—534no—
2152C4×D4—534no—
2153C4×D4—534no—
2154C4×D4—534no—
2155C4×D4—532no—
2156C4×D4—532no—
2157C4×D4—534no—
2158C4×D4—534no—
2159C4×D4—534no—
2160C4×D4—534no—
2161C4×D4—532no—
2162C4×D4—534no—
2163C4×D4—532no—
2164C4×D4—532no—
2165C4×D4—532no—
2166C4×D4—532no—
2167C4×D4—532no—
2168C4×D4—532no—
2169C4×D4—534no—
2170C4×D4—534no—
2171C4×D4—534no—
2172C4×D4—534no—
2173C4×D4—534no—
2174C4×D4—532no—
2175C4×D4—532no—
2176C4×D4—532no—
2177C4×D4—532no—
2178C4×D4—532no—
2179C4×D4—532no—
2180C4×D4—532no—
2181C4×D4—532no—
2182C4×D4—532no—
2183C4×D4—532no—
2184C4×D4—532no—
2185C4×D4—532no—
2186C4×D4—532no—
2187C4×D4—532no—
2188C4×D4—532no—
2189C4×D4—532no—
2190C4×D4—532no—
2191C4×D4—532no—
2192C4×D4—534no—
2193C4×D4—534no—
2194C4×D4—534no—
2195C4×D4—532no—
2196C4×D4—534no—
2197C4×D4—532no—
2198C4×D4—532no—
2199C4×D4—532no—
2200C4×D4C22×D5314yes—
2201C4×D4C22×D5312yescomplemented
2202C4×D4C22×D5312yescomplemented
2203C4×D4C22×D5314yescomplemented
2204C4×D4C22×D5314yescomplemented
2205C4×D4C22×D5312yescomplemented
2206C4×D4C22×D5312yescomplemented
2207C4×D4C22×D5312yescomplemented
2208C4×D4C22×D5312yescomplemented
2209C4×D4C22×D5312yescomplemented
2210#117—531no—
2211#117—534no—
2212#117—531no—
2213#117—531no—
2214#117—534no—
2215#117—534no—
2216#117—532no—
2217#117—532no—
2218#117—532no—
2219#117—532no—
2220#117—532no—
2221#117—534no—
2222#117—534no—
2223#117C22×D5311yescharacteristic
2224#117C22×D5311yescharacteristic
2225#117C22×D5311yescharacteristic
2226#117C22×D5312yes—
2227#117C22×D5312yescomplemented
2228#117C22×D5311yescharacteristic, complemented
2229#117C22×D5311yescharacteristic, complemented
2230#117C22×D5314yescomplemented
2231#117C22×D5312yescomplemented
2232C2×C4⋊C4—531no—
2233C2×C4⋊C4—532no—
2234C2×C4⋊C4—532no—
2235C2×C4⋊C4—532no—
2236C2×C4⋊C4—532no—
2237C2×C4⋊C4—532no—
2238C2×C4⋊C4—532no—
2239C2×C4⋊C4—532no—
2240C2×C4⋊C4—531no—
2241C2×C4⋊C4—531no—
2242C2×C4⋊C4—532no—
2243C2×C4⋊C4—532no—
2244C2×C4⋊C4—532no—
2245C2×C4⋊C4—532no—
2246C2×C4⋊C4—532no—
2247C2×C4⋊C4C22×D5311yescharacteristic
2248C2×C4⋊C4C22×D5311yescharacteristic, complemented
2249C2×C4⋊C4C22×D5311yescharacteristic, complemented
2250C2×C4⋊C4C22×D5312yescomplemented
2251C2×C22⋊C4—532no—
2252C2×C22⋊C4—532no—
2253C2×C22⋊C4—532no—
2254C2×C22⋊C4—532no—
2255C2×C22⋊C4—532no—
2256C2×C22⋊C4—532no—
2257C2×C22⋊C4—532no—
2258C2×C22⋊C4—534no—
2259C2×C22⋊C4—534no—
2260C2×C22⋊C4—534no—
2261C2×C22⋊C4—534no—
2262C2×C22⋊C4—534no—
2263C2×C22⋊C4—534no—
2264C2×C22⋊C4—534no—
2265C2×C22⋊C4—532no—
2266C2×C22⋊C4—532no—
2267C2×C22⋊C4—532no—
2268C2×C22⋊C4—532no—
2269C2×C22⋊C4—532no—
2270C2×C22⋊C4—534no—
2271C2×C22⋊C4—534no—
2272C2×C22⋊C4—534no—
2273C2×C22⋊C4—534no—
2274C2×C22⋊C4—534no—
2275C2×C22⋊C4—534no—
2276C2×C22⋊C4C22×D5312yes—
2277C2×C22⋊C4C22×D5312yes—
2278C2×C22⋊C4C22×D5314yes—
2279C2×C42—532no—
2280C2×C42C22×D5312yescomplemented
2281C24—531no—
2282C24—531no—
2283C24—531no—
2284C24—531no—
2285C24—531no—
2286C24—534no—
2287C24—534no—
2288C24—532no—
2289C24—532no—
2290C24—532no—
2291C24—531no—
2292C24—534no—
2293C24—534no—
2294C24—1064no—
2295C24—2124no—
2296C24—2122no—
2297C24—2124no—
2298C24—2124no—
2299C24—2122no—
2300C24C23×D5311yescharacteristic
2301C24C23×D5312yes—
2302#41—24no—
2303#41—48no—
2304#41—1064no—
2305#41—1064no—
2306#41—1064no—
2307#41—2124no—
2308#41—2124no—
2309#41—2124no—
2310#41—2128no—
2311#41—2122no—
2312#41—2122no—
2313#41—2124no—
2314#41—2128no—
2315#41—2128no—
2316#41—2124no—
2317#41—2122no—
2318#41—2124no—
2319#41—2124no—
2320#41—2128no—
2321#41—2128no—
2322#41—2122no—
2323#41—2124no—
2324C2×Q8—531no—
2325C2×Q8—531no—
2326C2×Q8—531no—
2327C2×Q8—532no—
2328C2×Q8—532no—
2329C2×Q8—534no—
2330C2×Q8—2122no—
2331C2×Q8—2122no—
2332C2×Q8C23×D5311yescharacteristic
2333C2×Q8C23×D5314yes—
2334C2×D4—24no—
2335C2×D4—44no—
2336C2×D4—532no—
2337C2×D4—532no—
2338C2×D4—532no—
2339C2×D4—532no—
2340C2×D4—532no—
2341C2×D4—532no—
2342C2×D4—534no—
2343C2×D4—534no—
2344C2×D4—534no—
2345C2×D4—532no—
2346C2×D4—532no—
2347C2×D4—532no—
2348C2×D4—532no—
2349C2×D4—532no—
2350C2×D4—534no—
2351C2×D4—534no—
2352C2×D4—534no—
2353C2×D4—534no—
2354C2×D4—534no—
2355C2×D4—534no—
2356C2×D4—534no—
2357C2×D4—534no—
2358C2×D4—534no—
2359C2×D4—532no—
2360C2×D4—532no—
2361C2×D4—532no—
2362C2×D4—532no—
2363C2×D4—532no—
2364C2×D4—532no—
2365C2×D4—532no—
2366C2×D4—532no—
2367C2×D4—534no—
2368C2×D4—532no—
2369C2×D4—532no—
2370C2×D4—531no—
2371C2×D4—531no—
2372C2×D4—531no—
2373C2×D4—534no—
2374C2×D4—534no—
2375C2×D4—532no—
2376C2×D4—532no—
2377C2×D4—532no—
2378C2×D4—532no—
2379C2×D4—534no—
2380C2×D4—534no—
2381C2×D4—534no—
2382C2×D4—534no—
2383C2×D4—534no—
2384C2×D4—1068no—
2385C2×D4—10616no—
2386C2×D4—1068no—
2387C2×D4—1064no—
2388C2×D4—2122no—
2389C2×D4—2124no—
2390C2×D4—2128no—
2391C2×D4—2124no—
2392C2×D4—2124no—
2393C2×D4—2128no—
2394C2×D4—2128no—
2395C2×D4—2124no—
2396C2×D4—2124no—
2397C2×D4—2124no—
2398C2×D4—2124no—
2399C2×D4—2122no—
2400C2×D4—2124no—
2401C2×D4—2124no—
2402C2×D4—2124no—
2403C2×D4—2128no—
2404C2×D4—2124no—
2405C2×D4—2128no—
2406C2×D4—2124no—
2407C2×D4—2128no—
2408C2×D4—2128no—
2409C2×D4—2128no—
2410C2×D4—2128no—
2411C2×D4—2124no—
2412C2×D4—2128no—
2413C2×D4—2128no—
2414C2×D4—2128no—
2415C2×D4—2124no—
2416C2×D4—2124no—
2417C2×D4—2128no—
2418C2×D4—2124no—
2419C2×D4C23×D5312yes—
2420C2×D4C23×D5314yes—
2421C2×D4C23×D5312yes—
2422C2×D4C23×D5312yes—
2423C2×D4C23×D5311yescharacteristic
2424C2×D4C23×D5312yes—
2425C2×D4C23×D5314yes—
2426C2×D4C23×D5312yes—
2427C2×D4C23×D5314yes—
2428C2×D4C23×D5314yes—
2429C22×C4—24no—
2430C22×C4—531no—
2431C22×C4—531no—
2432C22×C4—531no—
2433C22×C4—532no—
2434C22×C4—532no—
2435C22×C4—531no—
2436C22×C4—532no—
2437C22×C4—534no—
2438C22×C4—531no—
2439C22×C4—531no—
2440C22×C4—531no—
2441C22×C4—532no—
2442C22×C4—534no—
2443C22×C4—531no—
2444C22×C4—531no—
2445C22×C4—531no—
2446C22×C4—531no—
2447C22×C4—531no—
2448C22×C4—532no—
2449C22×C4—532no—
2450C22×C4—532no—
2451C22×C4—531no—
2452C22×C4—531no—
2453C22×C4—532no—
2454C22×C4—531no—
2455C22×C4—531no—
2456C22×C4—531no—
2457C22×C4—531no—
2458C22×C4—531no—
2459C22×C4—532no—
2460C22×C4—534no—
2461C22×C4—531no—
2462C22×C4—534no—
2463C22×C4—532no—
2464C22×C4—532no—
2465C22×C4—532no—
2466C22×C4—534no—
2467C22×C4—534no—
2468C22×C4—534no—
2469C22×C4—534no—
2470C22×C4—534no—
2471C22×C4—531no—
2472C22×C4—531no—
2473C22×C4—1064no—
2474C22×C4—1064no—
2475C22×C4—2122no—
2476C22×C4—2122no—
2477C22×C4—2122no—
2478C22×C4—2122no—
2479C22×C4—2122no—
2480C22×C4—2122no—
2481C22×C4—2122no—
2482C22×C4—2122no—
2483C22×C4—2124no—
2484C22×C4—2124no—
2485C22×C4—2122no—
2486C22×C4—2122no—
2487C22×C4—2124no—
2488C22×C4—2122no—
2489C22×C4C23×D5311yescharacteristic
2490C22×C4C23×D5312yes—
2491C22×C4C23×D5311yescharacteristic
2492C22×C4C23×D5311yescharacteristic
2493C22×C4C23×D5312yes—
2494C22×C4C23×D5311yescharacteristic
2495C22×C4C23×D5311yescharacteristic
2496C22×C4C23×D5312yes—
2497C22×C4C23×D5312yes—
2498C22×C4C23×D5314yes—
2499C22×C4C23×D5314yes—
2500C22×C4C23×D5314yes—
2501C22×C4C23×D5311yescharacteristic
2502C4⋊C4—532no—
2503C4⋊C4—532no—
2504C4⋊C4—531no—
2505C4⋊C4—534no—
2506C4⋊C4—534no—
2507C4⋊C4—531no—
2508C4⋊C4—532no—
2509C4⋊C4—532no—
2510C4⋊C4—532no—
2511C4⋊C4—532no—
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—534no—
2525C4⋊C4—534no—
2526C4⋊C4—534no—
2527C4⋊C4—534no—
2528C4⋊C4—534no—
2529C4⋊C4—534no—
2530C4⋊C4—534no—
2531C4⋊C4—534no—
2532C4⋊C4C23×D5312yes—
2533C4⋊C4C23×D5311yescharacteristic
2534C4⋊C4C23×D5312yes—
2535C4⋊C4C23×D5311yescharacteristic
2536C4⋊C4C23×D5311yescharacteristic
2537C4⋊C4C23×D5312yes—
2538C4⋊C4C23×D5312yes—
2539C4⋊C4C23×D5311yescharacteristic
2540C4⋊C4C23×D5311yescharacteristic
2541C4⋊C4C23×D5311yescharacteristic
2542C4⋊C4C23×D5312yes—
2543C4⋊C4C23×D5312yes—
2544C4⋊C4C23×D5314yes—
2545C4⋊C4C23×D5314yes—
2546C4⋊C4C23×D5314yes—
2547C4⋊C4C23×D5314yes—
2548C22⋊C4—534no—
2549C22⋊C4—532no—
2550C22⋊C4—534no—
2551C22⋊C4—534no—
2552C22⋊C4—532no—
2553C22⋊C4—534no—
2554C22⋊C4—534no—
2555C22⋊C4—532no—
2556C22⋊C4—532no—
2557C22⋊C4—532no—
2558C22⋊C4—534no—
2559C22⋊C4—534no—
2560C22⋊C4—532no—
2561C22⋊C4—532no—
2562C22⋊C4—532no—
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—534no—
2572C22⋊C4—534no—
2573C22⋊C4—534no—
2574C22⋊C4—534no—
2575C22⋊C4—532no—
2576C22⋊C4—532no—
2577C22⋊C4—532no—
2578C22⋊C4—532no—
2579C22⋊C4—534no—
2580C22⋊C4—534no—
2581C22⋊C4—534no—
2582C22⋊C4—534no—
2583C22⋊C4—534no—
2584C22⋊C4—534no—
2585C22⋊C4—534no—
2586C22⋊C4—532no—
2587C22⋊C4—532no—
2588C22⋊C4—532no—
2589C22⋊C4—532no—
2590C22⋊C4—532no—
2591C22⋊C4—532no—
2592C22⋊C4—532no—
2593C22⋊C4—532no—
2594C22⋊C4—532no—
2595C22⋊C4—532no—
2596C22⋊C4—532no—
2597C22⋊C4—534no—
2598C22⋊C4—534no—
2599C22⋊C4—534no—
2600C22⋊C4C23×D5314yes—
2601C22⋊C4C23×D5312yes—
2602C22⋊C4C23×D5312yes—
2603C22⋊C4C23×D5314yes—
2604C22⋊C4C23×D5314yes—
2605C22⋊C4C23×D5312yes—
2606C22⋊C4C23×D5312yes—
2607C22⋊C4C23×D5314yes—
2608C22⋊C4C23×D5312yes—
2609C22⋊C4C23×D5312yes—
2610C22⋊C4C23×D5312yes—
2611C22⋊C4C23×D5312yes—
2612C22⋊C4C23×D5312yes—
2613C22⋊C4C23×D5314yes—
2614C22⋊C4C23×D5314yes—
2615C22⋊C4C23×D5314yes—
2616C42—532no—
2617C42—532no—
2618C42—532no—
2619C42—534no—
2620C42—534no—
2621C42—534no—
2622C42C23×D5312yes—
2623C42C23×D5312yes—
2624C42C23×D5312yes—
2625C42C23×D5312yes—
2626C42C23×D5312yes—
2627C42C23×D5314yes—
2628C23—22no—
2629C23—22no—
2630C23—24no—
2631C23—41no—
2632C23—42no—
2633C23—42no—
2634C23—531no—
2635C23—531no—
2636C23—531no—
2637C23—534no—
2638C23—534no—
2639C23—532no—
2640C23—532no—
2641C23—532no—
2642C23—531no—
2643C23—1062no—
2644C23—1062no—
2645C23—1064no—
2646C23—1068no—
2647C23—1068no—
2648C23—1062no—
2649C23—1062no—
2650C23—1062no—
2651C23—1062no—
2652C23—1062no—
2653C23—1062no—
2654C23—1064no—
2655C23—1064no—
2656C23—1062no—
2657C23—1062no—
2658C23—42416no—
2659C23—2124no—
2660C23—2124no—
2661C23—2124no—
2662C23—2124no—
2663C23—2124no—
2664C23—2124no—
2665C23—2122no—
2666C23—2122no—
2667C23—2122no—
2668C23—2124no—
2669C23—2124no—
2670C23—2124no—
2671C23—2122no—
2672C23—2122no—
2673C23—2122no—
2674C23—2124no—
2675C23—2121no—
2676C23—2121no—
2677C23—2121no—
2678C23—2121no—
2679C23—2121no—
2680C23—2121no—
2681C23—2121no—
2682C23—21216no—
2683C23C24×D5314yes—
2684C23C24×D5312yes—
2685C23C24×D5311yescharacteristic
2686C23C24×D5311yescharacteristic
2687C23C24×D5311yescharacteristic
2688Q8—22no—
2689Q8—44no—
2690Q8—1062no—
2691Q8—1062no—
2692Q8—1062no—
2693Q8—2122no—
2694Q8—2122no—
2695Q8—2124no—
2696D4—28no—
2697D4—24no—
2698D4—24no—
2699D4—24no—
2700D4—24no—
2701D4—22no—
2702D4—44no—
2703D4—44no—
2704D4—42no—
2705D4—44no—
2706D4—1068no—
2707D4—1064no—
2708D4—1064no—
2709D4—1064no—
2710D4—1064no—
2711D4—1064no—
2712D4—1064no—
2713D4—1064no—
2714D4—1064no—
2715D4—1068no—
2716D4—1064no—
2717D4—1064no—
2718D4—1068no—
2719D4—1064no—
2720D4—1064no—
2721D4—1064no—
2722D4—1064no—
2723D4—1064no—
2724D4—1064no—
2725D4—1062no—
2726D4—1062no—
2727D4—1062no—
2728D4—2124no—
2729D4—2122no—
2730D4—2124no—
2731D4—2122no—
2732D4—2124no—
2733D4—2124no—
2734D4—2124no—
2735D4—2124no—
2736D4—2124no—
2737D4—2122no—
2738D4—2122no—
2739D4—2124no—
2740D4—2122no—
2741D4—2124no—
2742D4—2124no—
2743D4—2124no—
2744D4—2124no—
2745D4—2124no—
2746D4—2124no—
2747D4—2124no—
2748D4—2124no—
2749D4—2124no—
2750D4—2122no—
2751D4—2122no—
2752D4—2122no—
2753D4—2122no—
2754C2×C4—24no—
2755C2×C4—22no—
2756C2×C4—22no—
2757C2×C4—22no—
2758C2×C4—22no—
2759C2×C4—22no—
2760C2×C4—24no—
2761C2×C4—42no—
2762C2×C4—44no—
2763C2×C4—42no—
2764C2×C4—44no—
2765C2×C4—44no—
2766C2×C4—532no—
2767C2×C4—531no—
2768C2×C4—532no—
2769C2×C4—532no—
2770C2×C4—532no—
2771C2×C4—532no—
2772C2×C4—534no—
2773C2×C4—531no—
2774C2×C4—531no—
2775C2×C4—531no—
2776C2×C4—1068no—
2777C2×C4—1064no—
2778C2×C4—1062no—
2779C2×C4—1062no—
2780C2×C4—1062no—
2781C2×C4—1062no—
2782C2×C4—1062no—
2783C2×C4—1062no—
2784C2×C4—1062no—
2785C2×C4—1062no—
2786C2×C4—1062no—
2787C2×C4—1062no—
2788C2×C4—1064no—
2789C2×C4—1064no—
2790C2×C4—1064no—
2791C2×C4—2121no—
2792C2×C4—2121no—
2793C2×C4—2121no—
2794C2×C4—2121no—
2795C2×C4—2121no—
2796C2×C4—2121no—
2797C2×C4—2121no—
2798C2×C4—2121no—
2799C2×C4—2124no—
2800C2×C4—2122no—
2801C2×C4—2122no—
2802C2×C4—2122no—
2803C2×C4—2122no—
2804C2×C4—2122no—
2805C2×C4—2124no—
2806C2×C4—2124no—
2807C2×C4—2124no—
2808C2×C4—2124no—
2809C2×C4—2124no—
2810C2×C4—2124no—
2811C2×C4—2121no—
2812C2×C4—2121no—
2813C2×C4—2121no—
2814C2×C4—2121no—
2815C2×C4—2122no—
2816C2×C4—2122no—
2817C2×C4—2122no—
2818C2×C4—2124no—
2819C2×C4#1313326314yescomplemented
2820C2×C4C24×D5312yes—
2821C2×C4C24×D5312yes—
2822C2×C4C24×D5312yes—
2823C2×C4C24×D5314yes—
2824C2×C4C24×D5312yes—
2825C2×C4C24×D5311yescharacteristic
2826C2×C4C24×D5312yes—
2827C2×C4C24×D5312yes—
2828C2×C4C24×D5312yes—
2829C2×C4C24×D5311yescharacteristic
2830C2×C4C24×D5311yescharacteristic
2831C2×C4C24×D5311yescharacteristic
2832C22—21no—
2833C22—21no—
2834C22—21no—
2835C22—21no—
2836C22—22no—
2837C22—24no—
2838C22—21no—
2839C22—21no—
2840C22—22no—
2841C22—24no—
2842C22—24no—
2843C22—22no—
2844C22—21no—
2845C22—44no—
2846C22—84no—
2847C22—532no—
2848C22—532no—
2849C22—532no—
2850C22—8484no—
2851C22—8484no—
2852C22—1068no—
2853C22—1061no—
2854C22—1061no—
2855C22—1061no—
2856C22—1061no—
2857C22—1061no—
2858C22—1061no—
2859C22—1062no—
2860C22—1062no—
2861C22—1062no—
2862C22—1064no—
2863C22—1061no—
2864C22—1061no—
2865C22—1062no—
2866C22—1062no—
2867C22—1062no—
2868C22—1064no—
2869C22—1064no—
2870C22—1062no—
2871C22—1062no—
2872C22—1062no—
2873C22—1061no—
2874C22—4244no—
2875C22—4244no—
2876C22—4248no—
2877C22—4248no—
2878C22—4244no—
2879C22—2124no—
2880C22—2124no—
2881C22—2124no—
2882C22—2124no—
2883C22—2124no—
2884C22H(5,𝔽2)×D5312yes—
2885C22C2×#1313326312yes—
2886C22C25×D5311yescharacteristic
2887C4—22no—
2888C4—22no—
2889C4—24no—
2890C4—22no—
2891C4—21no—
2892C4—21no—
2893C4—22no—
2894C4—22no—
2895C4—22no—
2896C4—22no—
2897C4—1064no—
2898C4—1062no—
2899C4—1061no—
2900C4—1061no—
2901C4—1061no—
2902C4—1061no—
2903C4—1062no—
2904C4—1062no—
2905C4—1062no—
2906C4—1062no—
2907C4C2×#1313326312yes—
2908C4C2×#1313326312yes—
2909C2—22no—
2910C2—22no—
2911C2—41no—
2912C2—44no—
2913C2—42no—
2914C2—1062no—
2915C2—1062no—
2916C2—1062no—
2917C2—2122no—
2918C2—2122no—
2919C2—2122no—
2920C2—2124no—
2921C2—2121no—
2922C2C2×H(5,𝔽2)×D5311yescharacteristic
2923C2C22×#1313326311yescharacteristic
2924C2#585×D5311yescharacteristic
subgroupG/H
center, FrattiniC22C25×D53
commutator, socle, cosocleC22×C53C26
FittingC53×#3494C2
hypercenter#3494D53
hypocenterC53#62818
LCSG ▷ C22×C53 ▷ C53
UCSC1 ◁ C22 ◁ #3494

Complements

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

NH ≅ G/Ntype
1. #20289038C2semidirect
2. #20289037C2semidirect
3. #20289034C2semidirect
4. #20289027C2semidirect
5. #20288953C2semidirect
6. #20288951C2semidirect
7. #20288940C2semidirect
8. #20288938C2semidirect
9. #20288908C2semidirect
10. #20288901C2semidirect
11. #20288750C2semidirect
12. #20288749C2semidirect
13. #20288742C2semidirect
14. #20288740C2semidirect
15. #20288550C2semidirect
16. #20288544C2semidirect
17. #20288477C2semidirect
18. #20288473C2semidirect
19. #20288453C2semidirect
20. #20288450C2semidirect
21. #20288440C2semidirect
22. #20288425C2semidirect
23. #20288418C2semidirect
24. #20288399C2semidirect
25. #20288385C2semidirect
26. #20288382C2semidirect
27. #20288380C2semidirect
28. #20288376C2semidirect
29. #20288351C2semidirect
30. #20288349C2semidirect
31. #20288345C2semidirect
32. C2×#16811135C2semidirect
33. #525×D53C2semidirect
34. C2×#121×D53C2semidirect
35. C53×#3494C2semidirect
36. C2×#13133263C22semidirect
37. C2×#13133263C22semidirect
38. C2×#13133262C22semidirect
39. C22×#11719945C22semidirect
40. C2×#41×D53C22semidirect
41. C22×D4×D53C22semidirect
42. C22×D4×D53C22semidirect
43. C23×C4×D53C22semidirect
44. #16811370C22semidirect
45. #16811370C22semidirect
46. #16811369C22semidirect
47. #16811367C22semidirect
48. #16811364C22semidirect
49. #16811363C22semidirect
50. #16811361C22semidirect
51. #16811361C22semidirect
52. #16811339C22semidirect
53. #16811338C22semidirect
54. #16811336C22semidirect
55. #16811334C22semidirect
56. #16811334C22semidirect
57. #16811333C22semidirect
58. #16811328C22semidirect
59. #16811326C22semidirect
60. #16811326C22semidirect
61. #16811326C22semidirect
62. #16811326C22semidirect
63. #16811325C22semidirect
64. #16811324C22semidirect
65. #16811323C22semidirect
66. #16811323C22semidirect
67. #16811323C22semidirect
68. #16811321C22semidirect
69. #16811319C22semidirect
70. #16811317C22semidirect
71. #16811317C22semidirect
72. #16811317C22semidirect
73. #16811314C22semidirect
74. #16811312C22semidirect
75. #16811311C22semidirect
76. #16811311C22semidirect
77. #16811300C22semidirect
78. #16811299C22semidirect
79. #16811298C22semidirect
80. #16811298C22semidirect
81. #16811297C22semidirect
82. #16811297C22semidirect
83. #16811296C22semidirect
84. #16811295C22semidirect
85. #16811294C22semidirect
86. #16811293C22semidirect
87. #16811291C22semidirect
88. #16811285C22semidirect
89. #16811282C22semidirect
90. #16811281C22semidirect
91. #16811279C22semidirect
92. #16811278C22semidirect
93. #16811278C22semidirect
94. #16811276C22semidirect
95. #16811276C22semidirect
96. #16811276C22semidirect
97. #16811274C22semidirect
98. #16811274C22semidirect
99. #16811270C22semidirect
100. #16811270C22semidirect
101. #16811270C22semidirect
102. #16811269C22semidirect
103. #16811269C22semidirect
104. #16811269C22semidirect
105. #16811268C22semidirect
106. #16811268C22semidirect
107. #16811268C22semidirect
108. #16811268C22semidirect
109. #16811268C22semidirect
110. #16811268C22semidirect
111. #16811266C22semidirect
112. #16811266C22semidirect
113. #16811266C22semidirect
114. #16811266C22semidirect
115. #16811266C22semidirect
116. #16811266C22semidirect
117. #16811265C22semidirect
118. #16811265C22semidirect
119. #16811265C22semidirect
120. #16811265C22semidirect
121. #16811265C22semidirect
122. #16811264C22semidirect
123. #16811264C22semidirect
124. #16811263C22semidirect
125. #16811263C22semidirect
126. #16811263C22semidirect
127. #16811261C22semidirect
128. #16811261C22semidirect
129. #16811260C22semidirect
130. D4×D212C22semidirect
131. D4×D212C22semidirect
132. D4×D212C22semidirect
133. D4×D212C22semidirect
134. D4×D212C22semidirect
135. D4×D212C22semidirect
136. D4×D212C22semidirect
137. D4×D212C22semidirect
138. #16811258C22semidirect
139. #16811258C22semidirect
140. #16811258C22semidirect
141. #16811257C22semidirect
142. #16811257C22semidirect
143. #16811257C22semidirect
144. #16811257C22semidirect
145. #16811257C22semidirect
146. #16811257C22semidirect
147. D4×C22⋊D53C22semidirect
148. #16811255C22semidirect
149. #16811255C22semidirect
150. #16811251C22semidirect
151. #16811248C22semidirect
152. #16811247C22semidirect
153. #16811244C22semidirect
154. #16811238C22semidirect
155. #16811229C22semidirect
156. #16811228C22semidirect
157. #16811228C22semidirect
158. #16811226C22semidirect
159. #16811225C22semidirect
160. #16811224C22semidirect
161. #16811224C22semidirect
162. #16811222C22semidirect
163. #16811217C22semidirect
164. #16811215C22semidirect
165. #16811214C22semidirect
166. #16811212C22semidirect
167. #16811212C22semidirect
168. #16811212C22semidirect
169. #16811210C22semidirect
170. #16811209C22semidirect
171. #16811209C22semidirect
172. #16811207C22semidirect
173. #16811207C22semidirect
174. #16811207C22semidirect
175. #16811206C22semidirect
176. #16811204C22semidirect
177. #16811204C22semidirect
178. #16811203C22semidirect
179. #16811203C22semidirect
180. #16811202C22semidirect
181. #16811202C22semidirect
182. #16811201C22semidirect
183. #16811201C22semidirect
184. #16811192C22semidirect
185. #16811192C22semidirect
186. #16811192C22semidirect
187. #16811191C22semidirect
188. #16811190C22semidirect
189. #16811189C22semidirect
190. #16811189C22semidirect
191. #16811189C22semidirect
192. #16811189C22semidirect
193. #16811185C22semidirect
194. #16811184C22semidirect
195. #16811184C22semidirect
196. #16811184C22semidirect
197. #16811184C22semidirect
198. #16811183C22semidirect
199. #16811181C22semidirect
200. #16811181C22semidirect
201. #16811181C22semidirect
202. #16811174C22semidirect
203. #16811173C22semidirect
204. #16811170C22semidirect
205. #16811158C22semidirect
206. #16811157C22semidirect
207. #16811155C22semidirect
208. #16811136C22semidirect
209. #16811136C22semidirect
210. #16811136C22semidirect
211. #16811136C22semidirect
212. #16811135C22semidirect
213. #16811135C22semidirect
214. #16811135C22semidirect
215. #16811135C22semidirect
216. #16811135C22semidirect
217. #16811135C22semidirect
218. #16811135C22semidirect
219. #16811135C22semidirect
220. #16811135C22semidirect
221. #16811135C22semidirect
222. #16811135C22semidirect
223. #16811135C22semidirect
224. #16811135C22semidirect
225. #16811135C22semidirect
226. #16811134C22semidirect
227. #16811133C22semidirect
228. #16811133C22semidirect
229. #16811133C22semidirect
230. #16811133C22semidirect
231. #16811132C22semidirect
232. #16811132C22semidirect
233. #16811132C22semidirect
234. #16811131C22semidirect
235. #16811130C22semidirect
236. #16811129C22semidirect
237. C2×#13133201C22semidirect
238. #123×D53C22semidirect
239. C2×#13133197C22semidirect
240. C2×#13133197C22semidirect
241. C22⋊Q8×D53C22semidirect
242. C22⋊Q8×D53C22semidirect
243. C2×#13133192C22semidirect
244. C2×#13133192C22semidirect
245. C2×#13133192C22semidirect
246. C2×#13133192C22semidirect
247. C2×#13133191C22semidirect
248. C2×#13133190C22semidirect
249. C2×#13133189C22semidirect
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. #121×D53C22semidirect
263. #121×D53C22semidirect
264. C2×#13133187C22semidirect
265. C2×#13133187C22semidirect
266. #120×D53C22semidirect
267. #120×D53C22semidirect
268. #16811104C22semidirect
269. #16811103C22semidirect
270. #16811103C22semidirect
271. #16811097C22semidirect
272. #16811097C22semidirect
273. #16811095C22semidirect
274. #16811095C22semidirect
275. C2×C4×D212C22semidirect
276. C2×C4×D212C22semidirect
277. C4×D4×D53C22semidirect
278. C4×D4×D53C22semidirect
279. #117×D53C22semidirect
280. C2×C4⋊C4×D53C22semidirect
281. C2×C22⋊C4×D53C22semidirect
282. C53×#555C22semidirect
283. C53×#553C22semidirect
284. C53×#553C22semidirect
285. C53×#551C22semidirect
286. C53×#547C22semidirect
287. C53×#546C22semidirect
288. C53×#544C22semidirect
289. C53×#542C22semidirect
290. C53×#540C22semidirect
291. C53×#535C22semidirect
292. C53×#532C22semidirect
293. C53×#529C22semidirect
294. C53×#525C22semidirect
295. C2×#121×C53C22semidirect
296. C53×#520C22semidirect
297. C53×#518C22semidirect
298. C2×#117×C53C22semidirect
305. C2×#11719949C23semidirect
306. C2×#11719949C23semidirect
307. C2×#11719949C23semidirect
314. C2×#11719945C23semidirect
315. C2×#11719945C23semidirect
316. C2×#11719945C23semidirect
317. C2×#11719945C23semidirect
318. C2×#11719945C23semidirect
319. C2×#11719945C23semidirect
320. C2×#11719945C23semidirect
322. C2×#11719947C23semidirect
323. C2×#11719947C23semidirect
324. C2×#11719947C23semidirect
326. C22×Dic106C23semidirect
327. C2×Q8×D53C23semidirect
334. C22×D212C23semidirect
335. C22×D212C23semidirect
336. C22×D212C23semidirect
358. C2×D4×D53C23semidirect
359. C2×D4×D53C23semidirect
360. C2×D4×D53C23semidirect
361. C2×D4×D53C23semidirect
362. C2×D4×D53C23semidirect
363. C2×D4×D53C23semidirect
364. C2×D4×D53C23semidirect
380. C22×C4×D53C23semidirect
381. C22×C4×D53C23semidirect
382. #13133217C23semidirect
383. #13133216C23semidirect
384. #13133214C23semidirect
385. #13133214C23semidirect
386. #13133214C23semidirect
387. #13133213C23semidirect
388. #13133213C23semidirect
389. #13133213C23semidirect
390. #13133213C23semidirect
391. #13133212C23semidirect
392. #13133212C23semidirect
393. #13133212C23semidirect
394. #13133212C23semidirect
395. #13133212C23semidirect
396. #13133211C23semidirect
397. #13133211C23semidirect
398. #13133210C23semidirect
399. #13133210C23semidirect
400. #13133210C23semidirect
401. #13133209C23semidirect
402. #13133209C23semidirect
403. #13133208C23semidirect
404. #13133208C23semidirect
405. #13133208C23semidirect
406. #13133207C23semidirect
407. #13133206C23semidirect
408. #13133206C23semidirect
409. #13133205C23semidirect
410. #13133205C23semidirect
411. #13133205C23semidirect
412. #13133205C23semidirect
413. #13133204C23semidirect
414. #13133203C23semidirect
415. #13133203C23semidirect
416. #13133203C23semidirect
417. #13133203C23semidirect
418. #13133203C23semidirect
419. #13133203C23semidirect
423. #13133202C23semidirect
424. #13133202C23semidirect
425. #13133202C23semidirect
426. #13133202C23semidirect
427. #13133202C23semidirect
428. #13133202C23semidirect
429. #13133202C23semidirect
430. #13133202C23semidirect
431. #13133202C23semidirect
432. #13133202C23semidirect
433. #13133202C23semidirect
439. #13133201C23semidirect
440. #13133201C23semidirect
441. #13133201C23semidirect
442. #13133201C23semidirect
443. #13133201C23semidirect
444. #13133201C23semidirect
445. #13133201C23semidirect
447. #13133200C23semidirect
448. #13133200C23semidirect
449. #13133200C23semidirect
450. #13133200C23semidirect
452. #13133199C23semidirect
453. #13133199C23semidirect
454. #13133199C23semidirect
455. #13133199C23semidirect
456. #13133199C23semidirect
457. #13133199C23semidirect
458. #13133199C23semidirect
459. #13133199C23semidirect
460. #13133199C23semidirect
461. #13133199C23semidirect
471. #13133197C23semidirect
472. #13133197C23semidirect
473. #13133197C23semidirect
474. #13133197C23semidirect
475. #13133197C23semidirect
476. #13133197C23semidirect
477. #13133197C23semidirect
478. #13133197C23semidirect
479. #13133197C23semidirect
480. #13133196C23semidirect
481. #13133196C23semidirect
482. #13133196C23semidirect
483. #13133196C23semidirect
484. #13133196C23semidirect
488. #13133195C23semidirect
489. #13133195C23semidirect
490. #13133195C23semidirect
492. #13133194C23semidirect
493. #13133194C23semidirect
494. #13133194C23semidirect
495. #13133194C23semidirect
499. #13133193C23semidirect
500. #13133193C23semidirect
501. #13133193C23semidirect
502. #13133193C23semidirect
516. #13133192C23semidirect
517. #13133192C23semidirect
518. #13133192C23semidirect
519. #13133192C23semidirect
520. #13133192C23semidirect
521. #13133192C23semidirect
522. #13133192C23semidirect
523. #13133192C23semidirect
524. #13133192C23semidirect
525. #13133192C23semidirect
526. #13133192C23semidirect
527. #13133192C23semidirect
528. #13133192C23semidirect
529. #13133192C23semidirect
530. #13133192C23semidirect
531. #13133192C23semidirect
532. #13133192C23semidirect
533. #13133192C23semidirect
534. #13133192C23semidirect
540. #13133191C23semidirect
541. #13133191C23semidirect
542. #13133191C23semidirect
543. #13133191C23semidirect
544. #13133191C23semidirect
545. #13133191C23semidirect
546. #13133191C23semidirect
547. #13133191C23semidirect
548. #13133191C23semidirect
549. #13133191C23semidirect
550. #13133191C23semidirect
558. #13133190C23semidirect
559. #13133190C23semidirect
560. #13133190C23semidirect
561. #13133190C23semidirect
562. #13133190C23semidirect
563. #13133190C23semidirect
564. #13133190C23semidirect
565. #13133190C23semidirect
566. #13133190C23semidirect
567. #13133190C23semidirect
568. #13133190C23semidirect
569. #13133190C23semidirect
570. #13133190C23semidirect
576. #13133189C23semidirect
577. #13133189C23semidirect
578. #13133189C23semidirect
579. #13133189C23semidirect
580. #13133189C23semidirect
581. #13133189C23semidirect
582. #13133189C23semidirect
589. #13133188C23semidirect
590. #13133188C23semidirect
591. #13133188C23semidirect
592. #13133188C23semidirect
593. #13133188C23semidirect
594. #13133188C23semidirect
595. #13133188C23semidirect
615. #13133187C23semidirect
616. #13133187C23semidirect
617. #13133187C23semidirect
618. #13133187C23semidirect
619. #13133187C23semidirect
620. #13133187C23semidirect
621. #13133187C23semidirect
622. #13133187C23semidirect
623. #13133187C23semidirect
631. #13133185C23semidirect
632. #13133185C23semidirect
633. #13133185C23semidirect
634. #13133185C23semidirect
635. #13133185C23semidirect
636. #13133185C23semidirect
637. #13133185C23semidirect
638. C4×Dic106C23semidirect
639. C4×Dic106C23semidirect
640. #13133182C23semidirect
652. C4×D212C23semidirect
653. C4×D212C23semidirect
654. C4×D212C23semidirect
655. C4×D212C23semidirect
656. C4×D212C23semidirect
657. C4×D212C23semidirect
658. C4×D212C23semidirect
659. C4×D212C23semidirect
660. C4×D212C23semidirect
661. C4×D212C23semidirect
662. C4×D212C23semidirect
663. C4×D212C23semidirect
664. C4×D212C23semidirect
665. C4×D212C23semidirect
666. C4×D212C23semidirect
667. D4×Dic53C23semidirect
668. D4×Dic53C23semidirect
669. D4×Dic53C23semidirect
670. D4×Dic53C23semidirect
675. #13133179C23semidirect
676. #13133179C23semidirect
677. #13133179C23semidirect
678. #13133179C23semidirect
679. #13133179C23semidirect
680. #13133179C23semidirect
685. C4×C22⋊D53C23semidirect
686. C4×C22⋊D53C23semidirect
687. C4×C22⋊D53C23semidirect
688. C4×C22⋊D53C23semidirect
689. C4×C22⋊D53C23semidirect
694. #13133177C23semidirect
695. #13133177C23semidirect
696. #13133177C23semidirect
697. #13133177C23semidirect
698. #13133177C23semidirect
700. #13133176C23semidirect
702. #13133175C23semidirect
703. #13133175C23semidirect
704. #13133175C23semidirect
705. #13133175C23semidirect
706. #13133175C23semidirect
707. #13133175C23semidirect
709. #13133174C23semidirect
710. #13133174C23semidirect
713. C2×C4⋊Dic53C23semidirect
714. C2×C4⋊Dic53C23semidirect
720. C4⋊C4×D53C23semidirect
721. C4⋊C4×D53C23semidirect
722. C4⋊C4×D53C23semidirect
723. C4⋊C4×D53C23semidirect
724. C4⋊C4×D53C23semidirect
725. C4⋊C4×D53C23semidirect
726. C4⋊C4×D53C23semidirect
734. C2×#11719921C23semidirect
735. C2×#11719921C23semidirect
736. C2×#11719921C23semidirect
747. C22⋊C4×D53C23semidirect
748. C22⋊C4×D53C23semidirect
749. C22⋊C4×D53C23semidirect
750. C22⋊C4×D53C23semidirect
751. C22⋊C4×D53C23semidirect
752. C42×D53C23semidirect
754. C2×#41×C53C23semidirect
758. C4⋊Q8×C53C23semidirect
759. C4⋊Q8×C53C23semidirect
760. #127×C53C23semidirect
761. #126×C53C23semidirect
762. #126×C53C23semidirect
763. #125×C53C23semidirect
764. #125×C53C23semidirect
765. #124×C53C23semidirect
766. #124×C53C23semidirect
767. #124×C53C23semidirect
769. #123×C53C23semidirect
770. #123×C53C23semidirect
771. #123×C53C23semidirect
772. #123×C53C23semidirect
774. C22⋊Q8×C53C23semidirect
775. C22⋊Q8×C53C23semidirect
776. C22⋊Q8×C53C23semidirect
781. #121×C53C23semidirect
782. #121×C53C23semidirect
783. #121×C53C23semidirect
784. #121×C53C23semidirect
785. #121×C53C23semidirect
786. #121×C53C23semidirect
787. #121×C53C23semidirect
790. C4×Q8×C53C23semidirect
792. C4×D4×C53C23semidirect
793. C4×D4×C53C23semidirect
794. C4×D4×C53C23semidirect
795. C4×D4×C53C23semidirect
796. C4×D4×C53C23semidirect
797. C4×D4×C53C23semidirect
798. C4×D4×C53C23semidirect
799. C4×D4×C53C23semidirect
800. C4×D4×C53C23semidirect
805. #117×C53C23semidirect
806. #117×C53C23semidirect
807. #117×C53C23semidirect
808. #117×C53C23semidirect
809. #117×C53C23semidirect
811. C2×C4⋊C4×C53C23semidirect
812. C2×C4⋊C4×C53C23semidirect
813. C2×C4⋊C4×C53C23semidirect
817. C2×C42×C53C23semidirect
1216. C22×D53H(5,𝔽2)semidirect
1249. C2×C4×C53H(5,𝔽2)semidirect
1468. #3494D53semidirect
1517. #555C2×D53semidirect
1536. #553C2×D53semidirect
1537. #553C2×D53semidirect
1549. #551C2×D53semidirect
1565. #547C2×D53semidirect
1597. #546C2×D53semidirect
1619. #544C2×D53semidirect
1624. #542C2×D53semidirect
1632. #540C2×D53semidirect
1664. #535C2×D53semidirect
1677. #532C2×D53semidirect
1681. #529C2×D53semidirect
1711. #525C2×D53semidirect
1739. C2×#121C2×D53semidirect
1747. #520C2×D53semidirect
1752. #518C2×D53semidirect
1758. C2×#117C2×D53semidirect
1761. C53#62818semidirect
1790. C2×#41C22×D53semidirect
1852. C4⋊Q8C22×D53semidirect
1853. C4⋊Q8C22×D53semidirect
1861. #127C22×D53semidirect
1872. #126C22×D53semidirect
1873. #126C22×D53semidirect
1880. #125C22×D53semidirect
1881. #125C22×D53semidirect
1895. #124C22×D53semidirect
1896. #124C22×D53semidirect
1897. #124C22×D53semidirect
1942. #123C22×D53semidirect
1943. #123C22×D53semidirect
1944. #123C22×D53semidirect
1945. #123C22×D53semidirect
1987. C22⋊Q8C22×D53semidirect
1988. C22⋊Q8C22×D53semidirect
1989. C22⋊Q8C22×D53semidirect
2087. #121C22×D53semidirect
2088. #121C22×D53semidirect
2089. #121C22×D53semidirect
2090. #121C22×D53semidirect
2091. #121C22×D53semidirect
2092. #121C22×D53semidirect
2093. #121C22×D53semidirect
2141. C4×Q8C22×D53semidirect
2201. C4×D4C22×D53semidirect
2202. C4×D4C22×D53semidirect
2203. C4×D4C22×D53semidirect
2204. C4×D4C22×D53semidirect
2205. C4×D4C22×D53semidirect
2206. C4×D4C22×D53semidirect
2207. C4×D4C22×D53semidirect
2208. C4×D4C22×D53semidirect
2209. C4×D4C22×D53semidirect
2227. #117C22×D53semidirect
2228. #117C22×D53semidirect
2229. #117C22×D53semidirect
2230. #117C22×D53semidirect
2231. #117C22×D53semidirect
2248. C2×C4⋊C4C22×D53semidirect
2249. C2×C4⋊C4C22×D53semidirect
2250. C2×C4⋊C4C22×D53semidirect
2280. C2×C42C22×D53semidirect
2819. C2×C4#13133263semidirect

Maximal subgroups

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

subgroupindex
#202890382
#202890372
#202890342
#202890272
#202889532
#202889512
#202889402
#202889382
#202889082
#202889012
#202887502
#202887492
#202887422
#202887402
#202885502
#202885442
#202884772
#202884732
#202884532
#202884502
#202884402
#202884252
#202884182
#202883992
#202883852
#202883822
#202883802
#202883762
#202883512
#202883492
#202883452
C2×#168111352
#525×D532
C2×#121×D532
C53×#34942
#6281853