Finite Group Databasebeta

← #28292769

Subgroups — #28292769

Order 13568.

7338 conjugacy classes of subgroups.

The subgroup lattice has 2828 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#20289035C212yesmaximal, complemented
2#20289031C212yesmaximal, complemented
3#20289012C212yesmaximal, complemented
4#20289008C212yesmaximal, complemented
5#20288990C212yesmaximal, complemented
6#20288983C212yesmaximal, complemented
7#20288975C212yesmaximal, complemented
8#20288971C212yesmaximal, complemented
9#20288879C214yesmaximal, complemented
10#20288870C214yesmaximal, complemented
11#20288764C212yesmaximal, complemented
12#20288758C212yesmaximal, complemented
13#20288747C212yesmaximal, complemented
14#20288741C212yesmaximal, complemented
15#20288647C214yesmaximal, complemented
16#20288641C214yesmaximal, complemented
17#20288567C212yesmaximal, complemented
18#20288558C212yesmaximal, complemented
19#20288554C212yesmaximal, complemented
20#20288543C212yesmaximal, complemented
21#20288469C211yesmaximal, characteristic, complemented
22#20288467C211yesmaximal, characteristic, complemented
23#20288452C211yesmaximal, characteristic, complemented
24#20288450C211yesmaximal, characteristic, complemented
25#20288432C211yesmaximal, characteristic, complemented
26#20288432C211yesmaximal, characteristic, complemented
27#20288395C211yesmaximal, characteristic, complemented
28#20288387C211yesmaximal, characteristic, complemented
29#20288384C211yesmaximal, characteristic, complemented
30#20288376C211yesmaximal, characteristic, complemented
31#20288369C211yesmaximal, characteristic, complemented
32#20288357C211yesmaximal, characteristic, complemented
33C2×#16811134C211yesmaximal, characteristic, complemented
34C2×#16811134C211yesmaximal, characteristic, complemented
35C2×C53×#525C211yesmaximal, characteristic, complemented
36C2×#13133264C2211yescharacteristic, complemented
37C2×#13133263C2211yescharacteristic, complemented
38C22×#11719945C2211yescharacteristic, complemented
39C22×#11719945C2211yescharacteristic, complemented
40#16811374C2214yescomplemented
41#16811369C2214yescomplemented
42#16811368C2214yescomplemented
43#16811366C2214yescomplemented
44#16811362C2214yescomplemented
45#16811362C2214yescomplemented
46#16811362C2214yescomplemented
47#16811361C2214yescomplemented
48#16811357C2214yescomplemented
49#16811356C2214yescomplemented
50#16811356C2214yescomplemented
51#16811344C2212yescomplemented
52#16811344C2212yescomplemented
53#16811343C2212yescomplemented
54#16811343C2212yescomplemented
55#16811343C2212yescomplemented
56#16811341C2212yescomplemented
57#16811338C2212yescomplemented
58#16811338C2212yescomplemented
59#16811338C2212yescomplemented
60#16811337C2212yescomplemented
61#16811337C2212yescomplemented
62#16811336C2212yescomplemented
63#16811330C2212yescomplemented
64#16811328C2214yescomplemented
65#16811328C2212yescomplemented
66#16811327C2214yescomplemented
67#16811323C2214yescomplemented
68#16811323C2214yescomplemented
69#16811322C2214yescomplemented
70#16811322C2214yescomplemented
71#16811321C2214yescomplemented
72#16811321C2212yescomplemented
73#16811320C2212yescomplemented
74#16811320C2212yescomplemented
75#16811319C2212yescomplemented
76#16811319C2212yescomplemented
77#16811319C2212yescomplemented
78#16811319C2212yescomplemented
79#16811318C2214yescomplemented
80#16811318C2214yescomplemented
81#16811317C2212yescomplemented
82#16811316C2214yescomplemented
83#16811313C2212yescomplemented
84#16811313C2212yescomplemented
85#16811313C2212yescomplemented
86#16811313C2212yescomplemented
87#16811312C2212yescomplemented
88#16811310C2214yescomplemented
89#16811308C2212yescomplemented
90#16811307C2212yescomplemented
91#16811307C2212yescomplemented
92#16811306C2214yescomplemented
93#16811304C2214yescomplemented
94#16811302C2214yescomplemented
95#16811302C2214yescomplemented
96#16811301C2214yescomplemented
97#16811300C2214yescomplemented
98#16811299C2214yescomplemented
99#16811299C2214yescomplemented
100#16811299C2214yescomplemented
101#16811297C2214yescomplemented
102#16811296C2214yescomplemented
103#16811294C2212yescomplemented
104#16811294C2212yescomplemented
105#16811294C2212yescomplemented
106#16811292C2212yescomplemented
107#16811291C2212yescomplemented
108#16811291C2212yescomplemented
109D4×Dic106C2212yescomplemented
110Q8×C22⋊D53C2212yescomplemented
111#16811284C2212yescomplemented
112#16811283C2212yescomplemented
113#16811283C2212yescomplemented
114#16811282C2212yescomplemented
115#16811282C2212yescomplemented
116#16811282C2212yescomplemented
117#16811282C2212yescomplemented
118#16811280C2212yescomplemented
119#16811278C2212yescomplemented
120#16811278C2212yescomplemented
121#16811278C2212yescomplemented
122#16811277C2212yescomplemented
123#16811275C2212yescomplemented
124#16811275C2212yescomplemented
125#16811274C2212yescomplemented
126#16811272C2214yescomplemented
127#16811272C2212yescomplemented
128#16811271C2214yescomplemented
129#16811270C2212yescomplemented
130#16811270C2212yescomplemented
131#16811269C2212yescomplemented
132#16811269C2212yescomplemented
133#16811269C2212yescomplemented
134#16811269C2212yescomplemented
135#16811267C2214yescomplemented
136#16811267C2214yescomplemented
137#16811267C2212yescomplemented
138#16811265C2214yescomplemented
139#16811263C2214yescomplemented
140#16811263C2214yescomplemented
141#16811263C2214yescomplemented
142#16811262C2214yescomplemented
143#16811261C2214yescomplemented
144#16811261C2212yescomplemented
145#16811260C2214yescomplemented
146#16811260C2214yescomplemented
147D4×D212C2212yescomplemented
148D4×C22⋊D53C2214yescomplemented
149D4×C22⋊D53C2214yescomplemented
150D4×C22⋊D53C2212yescomplemented
151#16811255C2214yescomplemented
152#16811251C2211yescharacteristic, complemented
153#16811251C2211yescharacteristic, complemented
154#16811246C2212yescomplemented
155#16811244C2212yescomplemented
156#16811244C2212yescomplemented
157#16811243C2214yescomplemented
158#16811243C2214yescomplemented
159#16811241C2214yescomplemented
160#16811240C2212yescomplemented
161#16811238C2214yescomplemented
162#16811235C2212yescomplemented
163#16811233C2212yescomplemented
164#16811228C2212yescomplemented
165#16811226C2212yescomplemented
166#16811225C2214yescomplemented
167#16811224C2214yescomplemented
168#16811223C2214yescomplemented
169#16811223C2214yescomplemented
170#16811220C2214yescomplemented
171#16811219C2214yescomplemented
172#16811219C2214yescomplemented
173#16811216C2214yescomplemented
174#16811215C2214yescomplemented
175#16811215C2214yescomplemented
176#16811211C2214yescomplemented
177#16811211C2214yescomplemented
178#16811211C2214yescomplemented
179#16811209C2214yescomplemented
180#16811208C2214yescomplemented
181#16811208C2214yescomplemented
182#16811208C2214yescomplemented
183#16811208C2214yescomplemented
184#16811206C2214yescomplemented
185#16811206C2214yescomplemented
186#16811205C2214yescomplemented
187#16811205C2214yescomplemented
188#16811203C2212yescomplemented
189#16811202C2212yescomplemented
190#16811201C2211yescharacteristic, complemented
191#16811201C2211yescharacteristic, complemented
192#16811201C2212yescomplemented
193#16811201C2212yescomplemented
194#16811199C2211yescharacteristic, complemented
195#16811196C2212yescomplemented
196#16811194C2211yescharacteristic, complemented
197#16811194C2212yescomplemented
198#16811192C2211yescharacteristic, complemented
199#16811190C2214yescomplemented
200#16811189C2212yescomplemented
201#16811188C2214yescomplemented
202#16811188C2214yescomplemented
203#16811187C2211yescharacteristic, complemented
204#16811187C2212yescomplemented
205#16811183C2214yescomplemented
206#16811183C2214yescomplemented
207#16811182C2214yescomplemented
208#16811180C2212yescomplemented
209#16811175C2212yescomplemented
210#16811173C2212yescomplemented
211#16811168C2212yescomplemented
212#16811159C2212yescomplemented
213#16811157C2212yescomplemented
214#16811157C2212yescomplemented
215#16811154C2212yescomplemented
216#16811150C2214yescomplemented
217#16811150C2214yescomplemented
218#16811136C2212yescomplemented
219#16811134C2211yescharacteristic
220#16811134C2212yescomplemented
221#16811134C2212yescomplemented
222#16811134C2212yescomplemented
223#16811134C2212yescomplemented
224#16811134C2211yescharacteristic, complemented
225#16811134C2212yescomplemented
226#16811134C2211yescharacteristic, complemented
227#16811134C2211yescharacteristic, complemented
228#16811134C2212yescomplemented
229#16811134C2211yescharacteristic, complemented
230#16811134C2212yescomplemented
231#16811134C2211yescharacteristic, complemented
232#16811134C2212yescomplemented
233#16811134C2212yescomplemented
234#16811134C2211yescharacteristic, complemented
235#16811134C2212yescomplemented
236#16811134C2211yescharacteristic, complemented
237#16811134C2212yescomplemented
238#16811134C2212yescomplemented
239#16811134C2212yescomplemented
240#16811134C2212yescomplemented
241#16811133C2212yescomplemented
242#16811131C2214yescomplemented
243C2×#13133200C2212yescomplemented
244C2×#13133200C2212yescomplemented
245#123×D53C2214yescomplemented
246C2×#13133196C2211yescharacteristic, complemented
247C2×#13133196C2211yescharacteristic, complemented
248C2×#13133196C2211yescharacteristic, complemented
249C2×#13133196C2211yescharacteristic, complemented
250C2×#13133196C2212yescomplemented
251C22⋊Q8×D53C2212yescomplemented
252C2×#13133191C2211yescharacteristic, complemented
253C2×#13133191C2211yescharacteristic, complemented
254C2×#13133191C2211yescharacteristic, complemented
255C2×#13133191C2211yescharacteristic, complemented
256C2×#13133191C2212yescomplemented
257#121×D53C2212yescomplemented
258C2×#13133186C2212yescomplemented
259C2×#13133186C2212yescomplemented
260#16811106C2211yescharacteristic, complemented
261#16811106C2211yescharacteristic, complemented
262#16811104C2214yescomplemented
263#16811103C2211yescharacteristic, complemented
264#16811103C2211yescharacteristic, complemented
265#16811102C2214yescomplemented
266#16811100C2211yescharacteristic, complemented
267#16811097C2211yescharacteristic, complemented
268#16811096C2214yescomplemented
269#16811095C2214yescomplemented
270C2×C4×C22⋊D53C2212yescomplemented
271C2×C4×C22⋊D53C2212yescomplemented
272C2×C4×C22⋊D53C2212yescomplemented
273C2×C4×C22⋊D53C2212yescomplemented
274C2×#13133176C2211yescharacteristic, complemented
275C2×#13133176C2211yescharacteristic, complemented
276C22×#41×C53C2211yescharacteristic, complemented
277C24×C4×C53C2211yescharacteristic, complemented
278C53×#525C2211yescharacteristic
279C53×#525C2212yescomplemented
280C53×#525C2211yescharacteristic, complemented
281C53×#525C2211yescharacteristic, complemented
282C53×#525C2211yescharacteristic, complemented
283C53×#525C2212yescomplemented
284C53×#525C2211yescharacteristic, complemented
285C53×#525C2212yescomplemented
286C53×#525C2211yescharacteristic, complemented
287C53×#525C2211yescharacteristic, complemented
288C53×#525C2212yescomplemented
289C53×#525C2211yescharacteristic, complemented
290C2×#123×C53C2212yescomplemented
291C2×C22⋊Q8×C53C2211yescharacteristic, complemented
292C2×C22⋊Q8×C53C2211yescharacteristic, complemented
293C2×#121×C53C2211yescharacteristic, complemented
294C2×#121×C53C2211yescharacteristic, complemented
295C2×#120×C53C2212yescomplemented
296C2×C4×D4×C53C2212yescomplemented
297C2×C4×D4×C53C2212yescomplemented
298C2×#117×C53C2211yescharacteristic, complemented
299#13133264—44no—
300#13133263—44no—
301C2×#11719949C2312yescomplemented
302C2×#11719945—44no—
303C2×#11719945—44no—
304C2×#11719945C2311yescharacteristic
305C2×#11719945C2311yescharacteristic
306C2×#11719945C2312yes—
307C2×#11719945C2311yescharacteristic
308C2×#11719945C2312yes—
309C2×#11719945C2312yes—
310C2×#11719945C2312yes—
311C2×#11719945C2312yes—
312C2×#11719945C2314yes—
313C2×#11719945C2311yescharacteristic
314C2×#11719945C2312yes—
315C2×#11719945C2312yescomplemented
316C2×#11719945C2312yescomplemented
317C2×#11719947C2314yes—
318C2×#11719947C2314yes—
319C2×#11719947C2312yescomplemented
320C22×Dic106C2311yescharacteristic
321C22×Dic106C2311yescharacteristic
322C22×Dic106C2312yescomplemented
323C2×Q8×D53C2312yescomplemented
324C22×D212C2311yescharacteristic
325C22×D212C2311yescharacteristic
326C22×D212C2312yescomplemented
327C22×C22⋊D53C2312yes—
328C22×C22⋊D53C2312yes—
329C22×C22⋊D53C2312yes—
330C22×C22⋊D53C2312yes—
331C22×C22⋊D53C2314yes—
332C22×C22⋊D53C2312yes—
333C22×C22⋊D53C2312yes—
334C2×D4×D53C2314yes—
335C2×D4×D53C2314yes—
336C2×D4×D53C2312yescomplemented
337C22×C4×D53C2312yes—
338C22×C4×D53C2312yes—
339#13133217C2312yescomplemented
340#13133217C2312yescomplemented
341#13133217C2312yescomplemented
342#13133216C2314yescomplemented
343#13133216C2312yescomplemented
344#13133216C2312yescomplemented
345#13133215C2312yescomplemented
346#13133215C2314yescomplemented
347#13133214C2312yescomplemented
348#13133213C2314yes—
349#13133213C2314yes—
350#13133213C2314yes—
351#13133213C2314yes—
352#13133213C2312yescomplemented
353#13133212C2314yescomplemented
354#13133212C2314yescomplemented
355#13133212C2314yescomplemented
356#13133212C2314yescomplemented
357#13133212C2314yescomplemented
358#13133212C2314yescomplemented
359#13133211C2314yescomplemented
360#13133211C2314yescomplemented
361#13133210C2314yes—
362#13133210C2314yes—
363#13133210C2314yes—
364#13133210C2314yes—
365#13133210C2314yes—
366#13133210C2314yes—
367#13133210C2314yes—
368#13133210C2314yes—
369#13133210C2314yescomplemented
370#13133210C2314yescomplemented
371#13133210C2314yescomplemented
372#13133210C2314yescomplemented
373#13133209C2314yescomplemented
374#13133209C2312yescomplemented
375#13133209C2312yescomplemented
376#13133208C2312yescomplemented
377#13133208C2312yescomplemented
378#13133208C2314yescomplemented
379#13133207C2314yescomplemented
380#13133207C2314yescomplemented
381#13133207C2314yescomplemented
382#13133207C2314yescomplemented
383#13133207C2314yescomplemented
384#13133207C2314yescomplemented
385#13133206C2312yescomplemented
386#13133206C2314yescomplemented
387#13133205C2312yescomplemented
388#13133205C2312yescomplemented
389#13133205C2314yescomplemented
390#13133204C2314yes—
391#13133204C2314yes—
392#13133204C2314yes—
393#13133204C2314yes—
394#13133204C2312yescomplemented
395#13133203C2314yes—
396#13133203C2314yes—
397#13133203C2314yes—
398#13133203C2314yes—
399#13133203C2314yes—
400#13133203C2314yes—
401#13133203C2314yes—
402#13133203C2314yes—
403#13133203C2314yescomplemented
404#13133203C2314yescomplemented
405#13133203C2314yescomplemented
406#13133203C2314yescomplemented
407#13133202C2314yescomplemented
408#13133202C2314yescomplemented
409#13133202C2314yescomplemented
410#13133202C2314yescomplemented
411#13133202C2314yescomplemented
412#13133202C2314yescomplemented
413#13133201C2314yes—
414#13133201C2314yes—
415#13133201C2314yescomplemented
416#13133200C2312yes—
417#13133200C2314yes—
418#13133200C2314yes—
419#13133200C2312yes—
420#13133200C2314yes—
421#13133200C2312yes—
422#13133200C2312yes—
423#13133200C2314yes—
424#13133200C2312yes—
425#13133200C2312yes—
426#13133200C2312yes—
427#13133200C2314yes—
428#13133200C2314yes—
429#13133200C2312yes—
430#13133200C2314yescomplemented
431#13133200C2314yescomplemented
432#13133199C2314yes—
433#13133199C2314yes—
434#13133199C2314yes—
435#13133199C2314yes—
436#13133199C2314yes—
437#13133199C2314yes—
438#13133199C2314yes—
439#13133199C2314yes—
440#13133199C2314yescomplemented
441#13133199C2314yescomplemented
442#13133199C2314yescomplemented
443#13133199C2314yescomplemented
444#13133198C2314yes—
445#13133198C2314yes—
446#13133198C2314yes—
447#13133198C2314yes—
448#13133198C2314yes—
449#13133198C2314yes—
450#13133198C2314yescomplemented
451#13133197C2312yescomplemented
452#13133197C2312yescomplemented
453#13133197C2314yescomplemented
454#13133196C2314yes—
455#13133196C2312yes—
456#13133196C2314yes—
457#13133196C2312yes—
458#13133196C2312yes—
459#13133196C2311yescharacteristic
460#13133196C2311yescharacteristic
461#13133196C2312yes—
462#13133196C2311yescharacteristic
463#13133196C2311yescharacteristic
464#13133196C2312yes—
465#13133196C2312yes—
466#13133196C2312yes—
467#13133196C2311yescharacteristic
468#13133196C2312yes—
469#13133196C2311yescharacteristic
470#13133196C2311yescharacteristic
471#13133196C2311yescharacteristic
472#13133196C2312yes—
473#13133196C2312yes—
474#13133196C2312yes—
475#13133196C2312yes—
476#13133196C2312yescomplemented
477#13133196C2312yescomplemented
478#13133196C2312yescomplemented
479#13133196C2314yescomplemented
480#13133196C2312yescomplemented
481#13133195C2314yescomplemented
482#13133195C2314yescomplemented
483#13133195C2314yescomplemented
484#13133195C2314yescomplemented
485#13133195C2314yescomplemented
486#13133195C2314yescomplemented
487#13133194C2314yes—
488#13133194C2314yes—
489#13133194C2314yes—
490#13133194C2314yes—
491#13133194C2314yescomplemented
492#13133194C2314yescomplemented
493#13133193C2314yescomplemented
494#13133193C2312yescomplemented
495#13133193C2312yescomplemented
496#13133193C2314yescomplemented
497#13133192C2314yescomplemented
498#13133192C2312yescomplemented
499#13133192C2312yescomplemented
500#13133191C2311yescharacteristic
501#13133191C2311yescharacteristic
502#13133191C2312yes—
503#13133191C2312yes—
504#13133191C2312yes—
505#13133191C2314yes—
506#13133191C2312yes—
507#13133191C2311yescharacteristic
508#13133191C2311yescharacteristic
509#13133191C2312yes—
510#13133191C2314yes—
511#13133191C2312yes—
512#13133191C2312yes—
513#13133191C2311yescharacteristic
514#13133191C2312yes—
515#13133191C2311yescharacteristic
516#13133191C2311yescharacteristic
517#13133191C2312yes—
518#13133191C2312yes—
519#13133191C2311yescharacteristic
520#13133191C2312yes—
521#13133191C2312yes—
522#13133191C2312yescomplemented
523#13133191C2312yescomplemented
524#13133191C2312yescomplemented
525#13133191C2314yescomplemented
526#13133191C2312yescomplemented
527#13133190C2314yes—
528#13133190C2314yes—
529#13133190C2314yes—
530#13133190C2314yes—
531#13133190C2314yes—
532#13133190C2314yes—
533#13133190C2314yes—
534#13133190C2314yes—
535#13133190C2314yescomplemented
536#13133190C2314yescomplemented
537#13133190C2314yescomplemented
538#13133190C2314yescomplemented
539#13133189C2314yes—
540#13133189C2314yes—
541#13133189C2314yes—
542#13133189C2314yes—
543#13133189C2314yes—
544#13133189C2314yes—
545#13133189C2314yes—
546#13133189C2314yes—
547#13133189C2314yes—
548#13133189C2314yes—
549#13133189C2314yes—
550#13133189C2314yes—
551#13133189C2314yescomplemented
552#13133189C2314yescomplemented
553#13133188C2314yes—
554#13133188C2314yes—
555#13133188C2314yes—
556#13133188C2314yes—
557#13133188C2314yes—
558#13133188C2314yes—
559#13133188C2314yes—
560#13133188C2314yes—
561#13133188C2312yescomplemented
562#13133188C2312yescomplemented
563#13133187C2314yes—
564#13133187C2314yes—
565#13133187C2314yescomplemented
566#13133186C2312yes—
567#13133186C2314yes—
568#13133186C2314yes—
569#13133186C2314yes—
570#13133186C2312yes—
571#13133186C2312yes—
572#13133186C2314yes—
573#13133186C2312yes—
574#13133186C2312yes—
575#13133186C2314yes—
576#13133186C2312yes—
577#13133186C2314yes—
578#13133186C2312yes—
579#13133186C2312yes—
580#13133185C2314yes—
581#13133185C2314yes—
582#13133185C2314yes—
583#13133185C2314yes—
584#13133185C2314yes—
585#13133185C2314yes—
586#13133185C2314yescomplemented
587Q8×Dic53C2312yescomplemented
588Q8×Dic53C2312yescomplemented
589C4×Dic106C2312yescomplemented
590C4×Dic106C2312yescomplemented
591C4×Dic106C2312yescomplemented
592C4×Dic106C2312yescomplemented
593C4×Dic106C2314yescomplemented
594#13133182C2312yescomplemented
595#13133182C2312yescomplemented
596#13133182C2314yescomplemented
597#13133182C2314yescomplemented
598#13133182C2314yescomplemented
599C4×D212C2312yescomplemented
600C4×D212C2312yescomplemented
601C4×D212C2312yescomplemented
602C4×D212C2312yescomplemented
603C4×D212C2314yescomplemented
604D4×Dic53C2314yes—
605D4×Dic53C2314yes—
606D4×Dic53C2314yes—
607D4×Dic53C2314yes—
608D4×Dic53C2312yescomplemented
609D4×Dic53C2312yescomplemented
610#13133179C2314yescomplemented
611#13133179C2312yescomplemented
612#13133179C2312yescomplemented
613#13133179C2314yescomplemented
614#13133179C2314yescomplemented
615C4×C22⋊D53C2312yes—
616C4×C22⋊D53C2314yes—
617C4×C22⋊D53C2314yes—
618C4×C22⋊D53C2312yes—
619C4×C22⋊D53C2312yes—
620C4×C22⋊D53C2312yes—
621C4×C22⋊D53C2312yes—
622C4×C22⋊D53C2312yes—
623C4×C22⋊D53C2314yes—
624C4×C22⋊D53C2312yes—
625C4×C22⋊D53C2312yes—
626C4×C22⋊D53C2314yes—
627C4×C22⋊D53C2314yes—
628C4×C22⋊D53C2314yes—
629C4×C22⋊D53C2312yes—
630C4×C22⋊D53C2314yes—
631C4×C22⋊D53C2312yes—
632C4×C22⋊D53C2314yes—
633C4×C22⋊D53C2312yes—
634C4×C22⋊D53C2312yes—
635C4×C22⋊D53C2314yes—
636C4×C22⋊D53C2312yes—
637C4×C22⋊D53C2314yes—
638C4×C22⋊D53C2312yes—
639C4×C22⋊D53C2312yes—
640C4×C22⋊D53C2314yes—
641C4×C22⋊D53C2314yes—
642C4×C22⋊D53C2312yes—
643C4×C22⋊D53C2314yescomplemented
644C4×C22⋊D53C2314yescomplemented
645#13133177C2314yes—
646#13133177C2314yes—
647#13133177C2314yes—
648#13133177C2314yes—
649#13133177C2314yescomplemented
650#13133177C2314yescomplemented
651#13133177C2314yescomplemented
652#13133177C2314yescomplemented
653#13133177C2314yescomplemented
654#13133177C2314yescomplemented
655#13133176C2312yes—
656#13133176C2314yes—
657#13133176C2312yes—
658#13133176C2312yes—
659#13133176C2311yescharacteristic
660#13133176C2312yes—
661#13133176C2312yes—
662#13133176C2311yescharacteristic
663#13133176C2311yescharacteristic
664#13133176C2311yescharacteristic
665#13133176C2312yes—
666#13133176C2312yescomplemented
667#13133176C2312yescomplemented
668#13133175C2314yescomplemented
669#13133175C2314yescomplemented
670#13133175C2314yescomplemented
671#13133175C2312yescomplemented
672#13133175C2312yescomplemented
673#13133174C2314yescomplemented
674#13133174C2314yescomplemented
675#13133173C2314yes—
676#13133173C2314yes—
677#13133173C2314yescomplemented
678#13133173C2314yescomplemented
679#13133173C2314yescomplemented
680C2×C4⋊Dic53C2311yescharacteristic
681C2×C4⋊Dic53C2311yescharacteristic
682C2×C4⋊Dic53C2311yescharacteristic
683C2×C4⋊Dic53C2311yescharacteristic
684C2×C4⋊Dic53C2312yescomplemented
685C2×C4⋊Dic53C2312yescomplemented
686C2×#11719919C2312yes—
687C2×#11719919C2312yes—
688C2×#11719919C2312yes—
689C2×#11719919C2312yes—
690C2×#11719919C2314yescomplemented
691C4⋊C4×D53C2314yescomplemented
692C4⋊C4×D53C2312yescomplemented
693C4⋊C4×D53C2314yescomplemented
694C4⋊C4×D53C2314yescomplemented
695C4⋊C4×D53C2312yescomplemented
696C2×C22⋊Dic53C2314yes—
697C2×C22⋊Dic53C2312yes—
698C2×C22⋊Dic53C2312yes—
699C2×C22⋊Dic53C2312yes—
700C2×C22⋊Dic53C2312yes—
701C2×C22⋊Dic53C2312yes—
702C2×C22⋊Dic53C2312yes—
703C2×#11719921C2312yes—
704C2×#11719921C2312yes—
705C2×#11719921C2312yes—
706C2×#11719921C2312yes—
707C2×#11719921C2314yescomplemented
708C22⋊C4×D53C2314yes—
709C22⋊C4×D53C2314yes—
710C22⋊C4×D53C2314yescomplemented
711C22⋊C4×D53C2314yescomplemented
712C22⋊C4×D53C2314yescomplemented
713C2×C4×Dic53C2312yes—
714C2×C4×Dic53C2312yes—
715C25×C53C2311yescharacteristic
716C2×#41×C53—44no—
717C2×#41×C53C2311yescharacteristic
718C2×#41×C53C2311yescharacteristic
719C2×#41×C53C2311yescharacteristic
720C2×#41×C53C2312yes—
721C2×#41×C53C2311yescharacteristic
722C2×#41×C53C2312yes—
723C22×Q8×C53C2311yescharacteristic
724C22×D4×C53C2312yes—
725C22×D4×C53C2312yes—
726C22×D4×C53C2311yescharacteristic
727C22×D4×C53C2312yes—
728C23×C4×C53—44no—
729C23×C4×C53C2311yescharacteristic
730C23×C4×C53C2311yescharacteristic
731C23×C4×C53C2311yescharacteristic
732C23×C4×C53C2311yescharacteristic
733C23×C4×C53C2311yescharacteristic
734C23×C4×C53C2312yes—
735C23×C4×C53C2311yescharacteristic
736C23×C4×C53C2311yescharacteristic
737C23×C4×C53C2311yescharacteristic
738C23×C4×C53C2311yescharacteristic
739C23×C4×C53C2311yescharacteristic
740C23×C4×C53C2311yescharacteristic
741C23×C4×C53C2311yescharacteristic
742C23×C4×C53C2311yescharacteristic
743C23×C4×C53C2311yescharacteristic
744#123×C53C2312yes—
745#123×C53C2312yes—
746#123×C53C2312yes—
747#123×C53C2312yes—
748#123×C53C2312yes—
749#123×C53C2312yes—
750#123×C53C2312yes—
751#123×C53C2312yes—
752C22⋊Q8×C53C2311yescharacteristic
753C22⋊Q8×C53C2311yescharacteristic
754C22⋊Q8×C53C2311yescharacteristic
755C22⋊Q8×C53C2311yescharacteristic
756C22⋊Q8×C53C2312yes—
757C22⋊Q8×C53C2311yescharacteristic
758C22⋊Q8×C53C2311yescharacteristic
759C22⋊Q8×C53C2312yes—
760C22⋊Q8×C53C2311yescharacteristic
761C22⋊Q8×C53C2311yescharacteristic
762C22⋊Q8×C53C2312yes—
763C22⋊Q8×C53C2312yes—
764#121×C53C2311yescharacteristic
765#121×C53C2311yescharacteristic
766#121×C53C2311yescharacteristic
767#121×C53C2311yescharacteristic
768#121×C53C2311yescharacteristic
769#121×C53C2311yescharacteristic
770#121×C53C2312yes—
771#121×C53C2312yes—
772#121×C53C2311yescharacteristic
773#121×C53C2311yescharacteristic
774#121×C53C2312yes—
775#121×C53C2312yes—
776#120×C53C2312yes—
777#120×C53C2312yes—
778#120×C53C2312yes—
779#120×C53C2312yes—
780#120×C53C2312yes—
781#120×C53C2312yes—
782#120×C53C2312yes—
783#120×C53C2312yes—
784C4×D4×C53C2312yes—
785C4×D4×C53C2312yes—
786C4×D4×C53C2312yes—
787C4×D4×C53C2312yes—
788C4×D4×C53C2312yes—
789C4×D4×C53C2312yes—
790C4×D4×C53C2312yes—
791C4×D4×C53C2312yes—
792C4×D4×C53C2312yes—
793C4×D4×C53C2312yes—
794C4×D4×C53C2312yes—
795C4×D4×C53C2312yes—
796C4×D4×C53C2312yes—
797C4×D4×C53C2312yes—
798C4×D4×C53C2312yes—
799C4×D4×C53C2312yes—
800#117×C53C2312yes—
801#117×C53C2311yescharacteristic
802#117×C53C2311yescharacteristic
803#117×C53C2311yescharacteristic
804#117×C53C2311yescharacteristic
805#117×C53C2312yes—
806C2×C4⋊C4×C53C2311yescharacteristic
807C2×C4⋊C4×C53C2311yescharacteristic
808C2×C4⋊C4×C53C2312yes—
809C2×C4⋊C4×C53C2312yes—
810C2×C22⋊C4×C53C2312yes—
811C2×C22⋊C4×C53C2312yes—
812C2×C22⋊C4×C53C2312yes—
813C2×C22⋊C4×C53C2312yes—
814C2×C22⋊C4×C53C2312yes—
815C2×C42×C53C2312yes—
816C24×C53—42no—
817C24×C53—42no—
818C24×C53—42no—
819C24×C53C2411yescharacteristic
820C24×C53C2411yescharacteristic
821C24×C53C2411yescharacteristic
822C24×C53C2411yescharacteristic
823C24×C53C2412yes—
824C24×C53C2411yescharacteristic
825C24×C53C2411yescharacteristic
826C24×C53C2411yescharacteristic
827C23×D53C2412yes—
828C23×D53C2412yes—
829C23×D53C2414yes—
830#41×C53—24no—
831#41×C53—24no—
832#41×C53—44no—
833#41×C53—44no—
834#41×C53—42no—
835#41×C53—42no—
836C2×Q8×C53—42no—
837C2×Q8×C53C2411yescharacteristic
838C2×Q8×C53C2411yescharacteristic
839C2×Q8×C53C2412yes—
840C2×D4×C53—42no—
841C2×D4×C53—44no—
842C2×D4×C53—44no—
843C2×D4×C53—44no—
844C2×D4×C53C2412yes—
845C2×D4×C53C2412yes—
846C2×D4×C53C2412yes—
847C2×D4×C53C2412yes—
848C2×D4×C53C2411yescharacteristic
849C2×D4×C53C2411yescharacteristic
850C2×D4×C53C2412yes—
851C2×D4×C53C2412yes—
852C2×D4×C53C2412yes—
853C2×D4×C53C2412yes—
854C2×D4×C53C2412yes—
855C2×D4×C53C2412yes—
856C2×D4×C53C2412yes—
857C2×D4×C53C2412yes—
858C2×D4×C53C2412yes—
859C22×C4×C53—24no—
860C22×C4×C53—24no—
861C22×C4×C53—24no—
862C22×C4×C53—42no—
863C22×C4×C53—42no—
864C22×C4×C53—42no—
865C22×C4×C53—42no—
866C22×C4×C53—42no—
867C22×C4×C53—42no—
868C22×C4×C53—42no—
869C22×C4×C53—42no—
870C22×C4×C53—44no—
871C22×C4×C53—42no—
872C22×C4×C53—42no—
873C22×C4×C53—42no—
874C22×C4×C53C2411yescharacteristic
875C22×C4×C53C2412yes—
876C22×C4×C53C2411yescharacteristic
877C22×C4×C53C2411yescharacteristic
878C22×C4×C53C2411yescharacteristic
879C22×C4×C53C2411yescharacteristic
880C22×C4×C53C2411yescharacteristic
881C22×C4×C53C2411yescharacteristic
882C22×C4×C53C2411yescharacteristic
883C22×C4×C53C2411yescharacteristic
884C22×C4×C53C2412yes—
885C22×C4×C53C2412yes—
886C22×C4×C53C2411yescharacteristic
887C22×C4×C53C2411yescharacteristic
888C22×C4×C53C2411yescharacteristic
889C22×C4×C53C2411yescharacteristic
890C22×C4×C53C2411yescharacteristic
891C22×C4×C53C2411yescharacteristic
892C22×C4×C53C2412yes—
893C22×C4×C53C2411yescharacteristic
894C22×C4×C53C2411yescharacteristic
895C22×C4×C53C2412yes—
896C22×C4×C53C2411yescharacteristic
897C22×C4×C53C2411yescharacteristic
898C22×C4×C53C2411yescharacteristic
899C22×C4×C53C2411yescharacteristic
900C22×C4×C53C2412yes—
901C22×C4×C53C2412yes—
902C22×C4×C53C2411yescharacteristic
903C22×C4×C53C2411yescharacteristic
904C22×C4×C53C2411yescharacteristic
905C22×C4×C53C2411yescharacteristic
906C22×C4×C53C2411yescharacteristic
907C22×C4×C53C2411yescharacteristic
908C22×C4×C53C2411yescharacteristic
909C2×C22⋊D53—44no—
910C2×C22⋊D53—44no—
911C2×C22⋊D53—44no—
912C2×C22⋊D53—44no—
913C2×C22⋊D53—48no—
914C2×C22⋊D53—44no—
915C2×C22⋊D53—44no—
916C2×C22⋊D53C2414yes—
917C2×C22⋊D53C2412yes—
918C2×C22⋊D53C2412yes—
919C2×C22⋊D53C2412yes—
920C2×C22⋊D53C2414yes—
921C2×C22⋊D53C2412yes—
922C2×C22⋊D53C2414yes—
923C2×C22⋊D53C2414yes—
924C2×C22⋊D53C2414yes—
925C2×C22⋊D53C2414yes—
926C2×C22⋊D53C2412yes—
927C2×C22⋊D53C2412yes—
928C2×C22⋊D53C2412yes—
929C2×C22⋊D53C2414yes—
930C2×C22⋊D53C2414yes—
931C2×C22⋊D53C2412yes—
932C2×C22⋊D53C2412yes—
933C2×C22⋊D53C2412yes—
934C2×C22⋊D53C2412yes—
935C2×C22⋊D53C2414yes—
936C2×C22⋊D53C2414yes—
937C2×C22⋊D53C2414yes—
938C2×C22⋊D53C2412yes—
939C2×C22⋊D53C2414yes—
940C22×Dic53C2412yes—
941C22×Dic53C2412yes—
942C22×Dic53C2412yes—
943C22×Dic53C2412yes—
944C22×Dic53C2412yes—
945C22×Dic53C2414yes—
946C22×Dic53C2412yes—
947C22×Dic53C2414yes—
948C22×Dic53C2414yes—
949#11719949—44no—
950Q8×D53—44no—
951#11719947—44no—
952#11719947—48no—
953#11719947—48no—
954D4×D53—44no—
955D4×D53—48no—
956D4×D53—48no—
957#11719945—24no—
958#11719945—24no—
959#11719945—44no—
960#11719945—44no—
961#11719945—44no—
962#11719945—44no—
963#11719945—42no—
964#11719945—42no—
965#11719945—44no—
966#11719945—44no—
967#11719945—44no—
968#11719945—44no—
969#11719945—48no—
970C2×D212—24no—
971C2×D212—42no—
972C2×D212—44no—
973C2×D212C2412yes—
974C2×D212C2411yescharacteristic
975C2×D212C2412yes—
976C2×D212C2411yescharacteristic
977C2×D212C2414yes—
978C2×D212C2414yes—
979C2×D212C2414yes—
980C2×D212C2412yes—
981C2×C4×D53—44no—
982C2×C4×D53—44no—
983C2×C4×D53C2412yes—
984C2×C4×D53C2412yes—
985C2×C4×D53C2414yes—
986C2×C4×D53C2414yes—
987C2×C4×D53C2414yes—
988C2×C4×D53C2414yes—
989C2×C4×D53C2412yes—
990C2×C4×D53C2414yes—
991C2×C4×D53C2414yes—
992C2×C4×D53C2414yes—
993C2×C4×D53C2414yes—
994C2×C4×D53C2412yes—
995C2×Dic106—24no—
996C2×Dic106—42no—
997C2×Dic106—44no—
998C2×Dic106C2412yes—
999C2×Dic106C2411yescharacteristic
1000C2×Dic106C2412yes—
1001C2×Dic106C2411yescharacteristic
1002C2×Dic106C2414yes—
1003C2×Dic106C2414yes—
1004C2×Dic106C2414yes—
1005C2×Dic106C2412yes—
1006C4⋊C4×C53C2411yescharacteristic
1007C4⋊C4×C53C2411yescharacteristic
1008C4⋊C4×C53C2411yescharacteristic
1009C4⋊C4×C53C2411yescharacteristic
1010C4⋊C4×C53C2412yes—
1011C4⋊C4×C53C2412yes—
1012C4⋊C4×C53C2412yes—
1013C4⋊C4×C53C2412yes—
1014C4⋊C4×C53C2412yes—
1015C4⋊C4×C53C2412yes—
1016C4⋊C4×C53C2412yes—
1017C4⋊C4×C53C2412yes—
1018C4⋊C4×C53C2412yes—
1019C4⋊C4×C53C2412yes—
1020C22⋊C4×C53C2412yes—
1021C22⋊C4×C53C2412yes—
1022C22⋊C4×C53C2412yes—
1023C22⋊C4×C53C2412yes—
1024C22⋊C4×C53C2412yes—
1025C22⋊C4×C53C2412yes—
1026C22⋊C4×C53C2412yes—
1027C22⋊C4×C53C2412yes—
1028C22⋊C4×C53C2412yes—
1029C22⋊C4×C53C2412yes—
1030C22⋊C4×C53C2412yes—
1031C22⋊C4×C53C2412yes—
1032C22⋊C4×C53C2412yes—
1033C22⋊C4×C53C2412yes—
1034C22⋊C4×C53C2412yes—
1035C22⋊C4×C53C2412yes—
1036C22⋊C4×C53C2412yes—
1037C22⋊C4×C53C2412yes—
1038C22⋊C4×C53C2412yes—
1039C22⋊C4×C53C2412yes—
1040C42×C53C2412yes—
1041C42×C53C2412yes—
1042C42×C53C2412yes—
1043C42×C53C2412yes—
1044C22⋊Dic53C2412yes—
1045C22⋊Dic53C2414yes—
1046C22⋊Dic53C2414yes—
1047C22⋊Dic53C2414yes—
1048C22⋊Dic53C2414yes—
1049C22⋊Dic53C2412yes—
1050C22⋊Dic53C2414yes—
1051C22⋊Dic53C2412yes—
1052C22⋊Dic53C2412yes—
1053C22⋊Dic53C2412yes—
1054C22⋊Dic53C2414yes—
1055C22⋊Dic53C2414yes—
1056C22⋊Dic53C2412yes—
1057C22⋊Dic53C2412yes—
1058C22⋊Dic53C2412yes—
1059C22⋊Dic53C2412yes—
1060C22⋊Dic53C2414yes—
1061C22⋊Dic53C2414yes—
1062C22⋊Dic53C2412yes—
1063C22⋊Dic53C2412yes—
1064C22⋊Dic53C2412yes—
1065C22⋊Dic53C2414yes—
1066C22⋊Dic53C2414yes—
1067C22⋊Dic53C2414yes—
1068#11719921C2414yes—
1069#11719921C2414yes—
1070#11719921C2414yes—
1071#11719921C2414yes—
1072#11719921C2412yes—
1073#11719921C2412yes—
1074#11719921C2414yes—
1075#11719921C2414yes—
1076#11719921C2414yes—
1077#11719921C2412yes—
1078#11719921C2414yes—
1079#11719921C2412yes—
1080#11719921C2412yes—
1081#11719921C2412yes—
1082#11719921C2412yes—
1083#11719921C2414yes—
1084#11719921C2414yes—
1085#11719921C2412yes—
1086#11719921C2414yes—
1087#11719921C2414yes—
1088#11719921C2414yes—
1089#11719921C2414yes—
1090#11719921C2414yes—
1091#11719921C2414yes—
1092C4⋊Dic53C2414yes—
1093C4⋊Dic53C2412yes—
1094C4⋊Dic53C2412yes—
1095C4⋊Dic53C2414yes—
1096C4⋊Dic53C2411yescharacteristic
1097C4⋊Dic53C2411yescharacteristic
1098C4⋊Dic53C2412yes—
1099C4⋊Dic53C2412yes—
1100C4⋊Dic53C2411yescharacteristic
1101C4⋊Dic53C2411yescharacteristic
1102C4⋊Dic53C2412yes—
1103C4⋊Dic53C2412yes—
1104C4⋊Dic53C2414yes—
1105C4⋊Dic53C2414yes—
1106C4⋊Dic53C2414yes—
1107C4⋊Dic53C2414yes—
1108#11719919C2412yes—
1109#11719919C2412yes—
1110#11719919C2414yes—
1111#11719919C2414yes—
1112#11719919C2414yes—
1113#11719919C2414yes—
1114#11719919C2414yes—
1115#11719919C2414yes—
1116#11719919C2412yes—
1117#11719919C2414yes—
1118#11719919C2412yes—
1119#11719919C2412yes—
1120#11719919C2412yes—
1121#11719919C2412yes—
1122#11719919C2414yes—
1123#11719919C2414yes—
1124#11719919C2412yes—
1125#11719919C2414yes—
1126#11719919C2414yes—
1127#11719919C2414yes—
1128#11719919C2414yes—
1129#11719919C2414yes—
1130#11719919C2414yes—
1131#11719919C2414yes—
1132C4×Dic53C2412yes—
1133C4×Dic53C2414yes—
1134C4×Dic53C2414yes—
1135C4×Dic53C2412yes—
1136C4×Dic53C2412yes—
1137C4×Dic53C2412yes—
1138C4×Dic53C2414yes—
1139C4×Dic53C2414yes—
1140C4×Dic53C2414yes—
1141C4×Dic53C2414yes—
1142C4×Dic53C2414yes—
1143C4×Dic53C2414yes—
1144C23×C53—22no—
1145C23×C53—22no—
1146C23×C53—22no—
1147C23×C53—22no—
1148C23×C53—22no—
1149C23×C53—22no—
1150C23×C53—22no—
1151C23×C53—22no—
1152C23×C53—22no—
1153C23×C53—24no—
1154C23×C53—41no—
1155C23×C53—41no—
1156C23×C53—41no—
1157C23×C53—41no—
1158C23×C53—41no—
1159C23×C53—41no—
1160C23×C53—41no—
1161C23×C53—41no—
1162C23×C53—41no—
1163C23×C53—41no—
1164C23×C53—41no—
1165C23×C53—41no—
1166C23×C53—42no—
1167C23×C53—42no—
1168C23×C53—416no—
1169C23×C53C2512yes—
1170C23×C53C2512yes—
1171C23×C53C2511yescharacteristic
1172C23×C53C2511yescharacteristic
1173C23×C53C2511yescharacteristic
1174C23×C53C2511yescharacteristic
1175C23×C53C2511yescharacteristic
1176C23×C53C2511yescharacteristic
1177C23×C53C2511yescharacteristic
1178C22×D53—24no—
1179C22×D53—24no—
1180C22×D53—42no—
1181C22×D53—42no—
1182C22×D53—42no—
1183C22×D53—42no—
1184C22×D53—44no—
1185C22×D53—44no—
1186C22×D53—44no—
1187C22×D53C2512yes—
1188C22×D53C2514yes—
1189C22×D53C2512yes—
1190Q8×C53—22no—
1191Q8×C53—22no—
1192Q8×C53—42no—
1193D4×C53—24no—
1194D4×C53—24no—
1195D4×C53—24no—
1196D4×C53—24no—
1197D4×C53—22no—
1198D4×C53—22no—
1199D4×C53—42no—
1200D4×C53—42no—
1201D4×C53—42no—
1202D4×C53—42no—
1203D4×C53—42no—
1204D4×C53—42no—
1205D4×C53—42no—
1206D4×C53—42no—
1207D4×C53—42no—
1208C2×C4×C53—22no—
1209C2×C4×C53—22no—
1210C2×C4×C53—22no—
1211C2×C4×C53—24no—
1212C2×C4×C53—22no—
1213C2×C4×C53—24no—
1214C2×C4×C53—22no—
1215C2×C4×C53—24no—
1216C2×C4×C53—22no—
1217C2×C4×C53—22no—
1218C2×C4×C53—22no—
1219C2×C4×C53—22no—
1220C2×C4×C53—22no—
1221C2×C4×C53—22no—
1222C2×C4×C53—22no—
1223C2×C4×C53—22no—
1224C2×C4×C53—22no—
1225C2×C4×C53—22no—
1226C2×C4×C53—41no—
1227C2×C4×C53—41no—
1228C2×C4×C53—41no—
1229C2×C4×C53—41no—
1230C2×C4×C53—41no—
1231C2×C4×C53—41no—
1232C2×C4×C53—41no—
1233C2×C4×C53—41no—
1234C2×C4×C53—41no—
1235C2×C4×C53—41no—
1236C2×C4×C53—41no—
1237C2×C4×C53—41no—
1238C2×C4×C53—42no—
1239C2×C4×C53—42no—
1240C2×C4×C53—42no—
1241C2×C4×C53—42no—
1242C2×C4×C53H(5,𝔽2)14yes—
1243C2×C4×C53C2512yes—
1244C2×C4×C53C2512yes—
1245C2×C4×C53C2511yescharacteristic
1246C2×C4×C53C2512yes—
1247C2×C4×C53C2511yescharacteristic
1248C2×C4×C53C2511yescharacteristic
1249C2×C4×C53C2511yescharacteristic
1250C2×C4×C53C2512yes—
1251C2×C4×C53C2512yes—
1252C2×C4×C53C2512yes—
1253C2×C4×C53C2511yescharacteristic
1254C2×C4×C53C2511yescharacteristic
1255C2×C4×C53C2511yescharacteristic
1256C2×C4×C53C2511yescharacteristic
1257C22⋊D53—24no—
1258C22⋊D53—24no—
1259C22⋊D53—24no—
1260C22⋊D53—28no—
1261C22⋊D53—28no—
1262C22⋊D53—24no—
1263C22⋊D53—44no—
1264C22⋊D53—44no—
1265C22⋊D53—42no—
1266C22⋊D53—42no—
1267C22⋊D53—44no—
1268C22⋊D53—44no—
1269C22⋊D53—44no—
1270C22⋊D53—44no—
1271C22⋊D53—42no—
1272C22⋊D53—42no—
1273C22⋊D53—42no—
1274C22⋊D53—44no—
1275C22⋊D53—44no—
1276C22⋊D53—44no—
1277C22⋊D53—42no—
1278C22⋊D53—42no—
1279C22⋊D53—42no—
1280C22⋊D53—44no—
1281C2×Dic53—24no—
1282C2×Dic53—24no—
1283C2×Dic53—42no—
1284C2×Dic53—44no—
1285C2×Dic53—44no—
1286C2×Dic53—42no—
1287C2×Dic53—42no—
1288C2×Dic53—42no—
1289C2×Dic53—44no—
1290C2×Dic53C2512yes—
1291C2×Dic53C2514yes—
1292C2×Dic53C2512yes—
1293C2×Dic53C2512yes—
1294C2×Dic53C2512yes—
1295C2×Dic53C2514yes—
1296C2×Dic53C2514yes—
1297C2×Dic53C2512yes—
1298C2×Dic53C2512yes—
1299D212—24no—
1300D212—24no—
1301D212—22no—
1302D212—22no—
1303D212—42no—
1304D212—44no—
1305D212—44no—
1306D212—44no—
1307C4×D53—24no—
1308C4×D53—24no—
1309C4×D53—44no—
1310C4×D53—44no—
1311C4×D53—42no—
1312C4×D53—42no—
1313C4×D53—44no—
1314C4×D53—44no—
1315C4×D53—44no—
1316C4×D53—44no—
1317C4×D53—44no—
1318C4×D53—44no—
1319Dic106—24no—
1320Dic106—24no—
1321Dic106—22no—
1322Dic106—22no—
1323Dic106—42no—
1324Dic106—44no—
1325Dic106—44no—
1326Dic106—44no—
1327#62821—531nomaximal, Sylow
1328C22×C53—21no—
1329C22×C53—21no—
1330C22×C53—21no—
1331C22×C53—21no—
1332C22×C53—21no—
1333C22×C53—21no—
1334C22×C53—22no—
1335C22×C53—21no—
1336C22×C53—21no—
1337C22×C53—21no—
1338C22×C53—22no—
1339C22×C53—21no—
1340C22×C53—22no—
1341C22×C53—22no—
1342C22×C53—22no—
1343C22×C53—21no—
1344C22×C53—21no—
1345C22×C53—21no—
1346C22×C53—21no—
1347C22×C53—21no—
1348C22×C53—22no—
1349C22×C53—21no—
1350C22×C53—21no—
1351C22×C53—21no—
1352C22×C53—44no—
1353C22×C53—44no—
1354C22×C53—44no—
1355C22×C53—44no—
1356C22×C53—44no—
1357C22×C53—44no—
1358C22×C53—44no—
1359C22×C53—84no—
1360C22×C53C2×H(5,𝔽2)12yes—
1361C22×C53#58512yes—
1362C22×C53#58512yes—
1363C22×C53C2611yescharacteristic
1364C2×D53—22no—
1365C2×D53—22no—
1366C2×D53—24no—
1367C2×D53—22no—
1368C2×D53—22no—
1369C2×D53—24no—
1370C2×D53—24no—
1371C2×D53—22no—
1372C2×D53—22no—
1373C2×D53—84no—
1374C2×D53—84no—
1375C2×D53—164no—
1376C4×C53—22no—
1377C4×C53—21no—
1378C4×C53—21no—
1379C4×C53—21no—
1380C4×C53—21no—
1381C4×C53—22no—
1382C4×C53—21no—
1383C4×C53—21no—
1384C4×C53—22no—
1385C4×C53—22no—
1386C4×C53—22no—
1387C4×C53—22no—
1388C4×C53C2×H(5,𝔽2)12yes—
1389C4×C53C2×H(5,𝔽2)12yes—
1390Dic53—24no—
1391Dic53—22no—
1392Dic53—22no—
1393Dic53—22no—
1394Dic53—22no—
1395Dic53—24no—
1396Dic53—24no—
1397Dic53—22no—
1398Dic53—22no—
1399#3542—532no—
1400#3542—532no—
1401#3541—532no—
1402#3541—532no—
1403#3540—532no—
1404#3540—532no—
1405#3539—532no—
1406#3539—532no—
1407#3533—534no—
1408#3532—534no—
1409#3520—532no—
1410#3520—532no—
1411#3519—532no—
1412#3519—532no—
1413#3513—534no—
1414#3513—534no—
1415#3506—532no—
1416#3506—532no—
1417#3505—532no—
1418#3505—532no—
1419#3495—531no—
1420#3495—531no—
1421#3494—531no—
1422#3494—531no—
1423#3493—531no—
1424#3493—531no—
1425#3489—531no—
1426#3489—531no—
1427#3488—531no—
1428#3488—531no—
1429#3487—531no—
1430#3485—531no—
1431C2×#525—531no—
1432C2×#525—531no—
1433C2×#525D5311yescharacteristic, complemented
1434C2×C53—22no—
1435C2×C53—22no—
1436C2×C53—22no—
1437C2×C53—42no—
1438C2×C53—41no—
1439C2×C53—41no—
1440C2×C53—41no—
1441C2×C53—41no—
1442C2×C53—42no—
1443C2×C53C22×H(5,𝔽2)11yescharacteristic
1444C2×C53C2×#58511yescharacteristic
1445C2×C53C2×#58511yescharacteristic
1446D53—42no—
1447D53—44no—
1448D53—42no—
1449C2×2−1+4—531no—
1450C2×H(5,𝔽2)—531no—
1451C22×#41—531no—
1452C22×#41—531no—
1453C22×#41C2×D5311yescharacteristic, complemented
1454C24×C4C2×D5311yescharacteristic, complemented
1455#563—534no—
1456#562—534no—
1457#562—534no—
1458H(3,𝔽4)—534no—
1459#560—534no—
1460#560—534no—
1461#560—534no—
1462#560—534no—
1463#559—534no—
1464#559—534no—
1465#559—534no—
1466#556—532no—
1467#556—532no—
1468#556—532no—
1469#556—532no—
1470#556—532no—
1471#556—532no—
1472#555—532no—
1473#555—532no—
1474#555—532no—
1475#555—532no—
1476#555—532no—
1477#555—532no—
1478#554—534no—
1479#554—532no—
1480#554—532no—
1481#554—534no—
1482#553—534no—
1483#553—534no—
1484#553—534no—
1485#553—532no—
1486#553—532no—
1487#553—532no—
1488#553—532no—
1489#553—532no—
1490#553—532no—
1491#553—534no—
1492#553—534no—
1493#553—534no—
1494#553—534no—
1495#553—532no—
1496#553—532no—
1497#553—534no—
1498#552—534no—
1499#552—532no—
1500#552—532no—
1501#552—532no—
1502#552—532no—
1503#552—532no—
1504#552—532no—
1505#552—534no—
1506#552—532no—
1507#552—532no—
1508#551—534no—
1509#551—534no—
1510#551—534no—
1511#551—534no—
1512#551—534no—
1513#551—534no—
1514#551—534no—
1515#551—534no—
1516#551—534no—
1517#551—534no—
1518#550—532no—
1519#550—532no—
1520#550—532no—
1521#550—532no—
1522#550—532no—
1523#550—532no—
1524D4×Q8—532no—
1525D4×Q8—532no—
1526#548—532no—
1527#548—532no—
1528#548—532no—
1529#548—532no—
1530#548—532no—
1531#548—532no—
1532#548—532no—
1533#548—532no—
1534#547—532no—
1535#547—534no—
1536#547—534no—
1537#547—532no—
1538#547—532no—
1539#547—532no—
1540#547—532no—
1541#547—532no—
1542#547—532no—
1543#547—532no—
1544#546—532no—
1545#546—534no—
1546#546—534no—
1547#546—532no—
1548#546—534no—
1549#546—534no—
1550#546—532no—
1551#546—532no—
1552#546—534no—
1553#546—534no—
1554#546—534no—
1555#546—532no—
1556#546—532no—
1557#546—532no—
1558#546—532no—
1559#546—534no—
1560#546—534no—
1561#546—534no—
1562D42—534no—
1563D42—532no—
1564D42—534no—
1565D42—534no—
1566D42—532no—
1567#544—531no—
1568#544—531no—
1569#542—534no—
1570#542—532no—
1571#542—534no—
1572#542—534no—
1573#542—532no—
1574#542—534no—
1575#542—532no—
1576#542—532no—
1577#541—532no—
1578#541—532no—
1579#540—534no—
1580#540—532no—
1581#540—534no—
1582#540—534no—
1583#540—534no—
1584#540—532no—
1585#539—534no—
1586#539—534no—
1587#539—534no—
1588#539—534no—
1589#539—534no—
1590#539—534no—
1591#538—534no—
1592#538—534no—
1593#538—534no—
1594#538—534no—
1595#538—534no—
1596#538—534no—
1597#538—534no—
1598#538—534no—
1599#538—534no—
1600#538—534no—
1601#538—534no—
1602#538—534no—
1603#537—531no—
1604#537—531no—
1605#537—532no—
1606#537—532no—
1607#537—532no—
1608#537—532no—
1609#536—531no—
1610#536—532no—
1611#536—532no—
1612#536—531no—
1613#535—531no—
1614#535—532no—
1615#535—534no—
1616#535—532no—
1617#535—534no—
1618#535—534no—
1619#535—531no—
1620#534—534no—
1621#534—534no—
1622#534—534no—
1623#533—532no—
1624#533—532no—
1625#532—532no—
1626#532—532no—
1627#529—534no—
1628#529—534no—
1629#529—532no—
1630#529—532no—
1631#529—532no—
1632#529—532no—
1633#525—531no—
1634#525—531no—
1635#525—531no—
1636#525—531no—
1637#525—531no—
1638#525—532no—
1639#525—532no—
1640#525—531no—
1641#525—532no—
1642#525—532no—
1643#525—532no—
1644#525—532no—
1645#525—531no—
1646#525—532no—
1647#525—532no—
1648#525—532no—
1649#525—531no—
1650#525—532no—
1651#525—532no—
1652#525—532no—
1653#525—532no—
1654#525—532no—
1655#525—534no—
1656#525—532no—
1657#525—532no—
1658#525C2×D5311yescharacteristic
1659#525C2×D5311yescharacteristic, complemented
1660#525C2×D5311yescharacteristic, complemented
1661#525C2×D5311yescharacteristic, complemented
1662#525C2×D5311yescharacteristic, complemented
1663#525C2×D5311yescharacteristic, complemented
1664#525C2×D5312yescomplemented
1665#525C2×D5312yescomplemented
1666#525C2×D5311yescharacteristic, complemented
1667#525C2×D5312yescomplemented
1668#525C2×D5311yescharacteristic, complemented
1669#525C2×D5312yescomplemented
1670C2×#123—532no—
1671C2×#123—532no—
1672C2×#123—534no—
1673C2×#123C2×D5312yescomplemented
1674C2×C22⋊Q8—531no—
1675C2×C22⋊Q8—531no—
1676C2×C22⋊Q8—531no—
1677C2×C22⋊Q8—531no—
1678C2×C22⋊Q8—532no—
1679C2×C22⋊Q8—532no—
1680C2×C22⋊Q8C2×D5311yescharacteristic, complemented
1681C2×C22⋊Q8C2×D5311yescharacteristic, complemented
1682C2×#121—531no—
1683C2×#121—531no—
1684C2×#121—531no—
1685C2×#121—531no—
1686C2×#121—532no—
1687C2×#121—532no—
1688C2×#121C2×D5311yescharacteristic, complemented
1689C2×#121C2×D5311yescharacteristic, complemented
1690C2×#120—532no—
1691C2×#120—532no—
1692C2×#120C2×D5312yescomplemented
1693#520—531no—
1694#520—531no—
1695#520—534no—
1696#520—531no—
1697#520—531no—
1698#520—534no—
1699#519—531no—
1700#518—534no—
1701#518—531no—
1702#518—534no—
1703C2×C4×D4—532no—
1704C2×C4×D4—532no—
1705C2×C4×D4—532no—
1706C2×C4×D4—532no—
1707C2×C4×D4C2×D5312yescomplemented
1708C2×C4×D4C2×D5312yescomplemented
1709C2×#117—531no—
1710C2×#117—531no—
1711C2×#117C2×D5311yescharacteristic, complemented
1712C53#6282111yescharacteristic, complemented, Sylow
1713C25C22×D5311yescharacteristic
17142−1+4—2124no—
1715H(5,𝔽2)—2124no—
1716C2×#41—44no—
1717C2×#41—532no—
1718C2×#41—534no—
1719C2×#41—534no—
1720C2×#41—532no—
1721C2×#41—531no—
1722C2×#41—531no—
1723C2×#41—534no—
1724C2×#41—532no—
1725C2×#41—532no—
1726C2×#41—531no—
1727C2×#41—532no—
1728C2×#41—532no—
1729C2×#41—532no—
1730C2×#41—532no—
1731C2×#41—531no—
1732C2×#41—532no—
1733C2×#41—532no—
1734C2×#41—2124no—
1735C2×#41—2124no—
1736C2×#41C22×D5311yescharacteristic
1737C2×#41C22×D5311yescharacteristic
1738C2×#41C22×D5312yes—
1739C2×#41C22×D5312yes—
1740C2×#41C22×D5311yescharacteristic
1741C2×#41C22×D5311yescharacteristic
1742C22×Q8—532no—
1743C22×Q8—531no—
1744C22×Q8—531no—
1745C22×Q8—532no—
1746C22×Q8C22×D5311yescharacteristic
1747C22×D4—532no—
1748C22×D4—532no—
1749C22×D4—532no—
1750C22×D4—532no—
1751C22×D4—534no—
1752C22×D4—532no—
1753C22×D4—532no—
1754C22×D4—534no—
1755C22×D4—532no—
1756C22×D4—534no—
1757C22×D4—531no—
1758C22×D4—531no—
1759C22×D4—532no—
1760C22×D4C22×D5312yes—
1761C22×D4C22×D5312yes—
1762C22×D4C22×D5312yes—
1763C22×D4C22×D5311yescharacteristic
1764C23×C4—44no—
1765C23×C4—532no—
1766C23×C4—532no—
1767C23×C4C22×D5311yescharacteristic
1768C23×C4C22×D5311yescharacteristic
1769C23×C4C22×D5311yescharacteristic
1770C23×C4C22×D5311yescharacteristic
1771C23×C4C22×D5311yescharacteristic
1772C23×C4C22×D5311yescharacteristic
1773C23×C4C22×D5311yescharacteristic
1774C23×C4C22×D5311yescharacteristic
1775C23×C4C22×D5312yes—
1776C23×C4C22×D5311yescharacteristic
1777C23×C4C22×D5311yescharacteristic
1778C23×C4C22×D5311yescharacteristic
1779C23×C4C22×D5311yescharacteristic
1780C23×C4C22×D5311yescharacteristic
1781C23×C4C22×D5311yescharacteristic
1782C4⋊Q8—532no—
1783C4⋊Q8—534no—
1784C4⋊Q8—532no—
1785C4⋊Q8—532no—
1786C4⋊Q8—534no—
1787C4⋊Q8—532no—
1788C4⋊Q8—532no—
1789C4⋊Q8—532no—
1790#127—532no—
1791#127—534no—
1792#127—534no—
1793#127—534no—
1794#127—534no—
1795#127—532no—
1796#126—534no—
1797#126—534no—
1798#126—534no—
1799#126—534no—
1800#126—534no—
1801#126—534no—
1802#126—534no—
1803#126—534no—
1804#126—534no—
1805#126—534no—
1806#126—534no—
1807#126—534no—
1808#126—534no—
1809#126—534no—
1810#126—534no—
1811#126—534no—
1812#126—534no—
1813#126—534no—
1814#126—534no—
1815#126—534no—
1816#125—534no—
1817#125—534no—
1818#125—532no—
1819#125—532no—
1820#125—534no—
1821#125—534no—
1822#125—534no—
1823#125—534no—
1824#125—534no—
1825#125—532no—
1826#125—532no—
1827#125—534no—
1828#124—532no—
1829#124—534no—
1830#124—532no—
1831#124—534no—
1832#124—534no—
1833#124—534no—
1834#124—534no—
1835#124—534no—
1836#124—534no—
1837#124—534no—
1838#124—534no—
1839#124—534no—
1840#124—534no—
1841#124—534no—
1842#124—534no—
1843#124—534no—
1844#124—534no—
1845#124—534no—
1846#124—534no—
1847#124—532no—
1848#124—532no—
1849#124—534no—
1850#123—534no—
1851#123—534no—
1852#123—534no—
1853#123—534no—
1854#123—534no—
1855#123—534no—
1856#123—534no—
1857#123—532no—
1858#123—532no—
1859#123—532no—
1860#123—534no—
1861#123—534no—
1862#123—532no—
1863#123—532no—
1864#123—532no—
1865#123—532no—
1866#123—534no—
1867#123—532no—
1868#123—534no—
1869#123—534no—
1870#123—534no—
1871#123—534no—
1872#123—534no—
1873#123—534no—
1874#123—534no—
1875#123—534no—
1876#123—534no—
1877#123—534no—
1878#123—534no—
1879#123—534no—
1880#123—534no—
1881#123—534no—
1882#123—534no—
1883#123—534no—
1884#123—534no—
1885#123—534no—
1886#123—534no—
1887#123—534no—
1888#123—534no—
1889#123—534no—
1890#123—534no—
1891#123—534no—
1892#123—534no—
1893#123—534no—
1894#123C22×D5312yes—
1895#123C22×D5312yes—
1896#123C22×D5312yes—
1897#123C22×D5312yes—
1898#123C22×D5312yes—
1899#123C22×D5312yes—
1900#123C22×D5312yes—
1901#123C22×D5312yes—
1902C22⋊Q8—532no—
1903C22⋊Q8—532no—
1904C22⋊Q8—534no—
1905C22⋊Q8—534no—
1906C22⋊Q8—531no—
1907C22⋊Q8—532no—
1908C22⋊Q8—532no—
1909C22⋊Q8—531no—
1910C22⋊Q8—531no—
1911C22⋊Q8—532no—
1912C22⋊Q8—532no—
1913C22⋊Q8—531no—
1914C22⋊Q8—532no—
1915C22⋊Q8—532no—
1916C22⋊Q8—532no—
1917C22⋊Q8—532no—
1918C22⋊Q8—531no—
1919C22⋊Q8—531no—
1920C22⋊Q8—532no—
1921C22⋊Q8—532no—
1922C22⋊Q8—531no—
1923C22⋊Q8—531no—
1924C22⋊Q8—532no—
1925C22⋊Q8—532no—
1926C22⋊Q8—532no—
1927C22⋊Q8—532no—
1928C22⋊Q8—534no—
1929C22⋊Q8—534no—
1930C22⋊Q8—532no—
1931C22⋊Q8—532no—
1932C22⋊Q8—534no—
1933C22⋊Q8—532no—
1934C22⋊Q8—534no—
1935C22⋊Q8—532no—
1936C22⋊Q8—534no—
1937C22⋊Q8—534no—
1938C22⋊Q8—534no—
1939C22⋊Q8—534no—
1940C22⋊Q8—534no—
1941C22⋊Q8—534no—
1942C22⋊Q8—534no—
1943C22⋊Q8—534no—
1944C22⋊Q8—534no—
1945C22⋊Q8—534no—
1946C22⋊Q8—534no—
1947C22⋊Q8—534no—
1948C22⋊Q8C22×D5311yescharacteristic
1949C22⋊Q8C22×D5311yescharacteristic
1950C22⋊Q8C22×D5311yescharacteristic
1951C22⋊Q8C22×D5311yescharacteristic
1952C22⋊Q8C22×D5312yes—
1953C22⋊Q8C22×D5312yes—
1954C22⋊Q8C22×D5311yescharacteristic
1955C22⋊Q8C22×D5311yescharacteristic
1956C22⋊Q8C22×D5311yescharacteristic
1957C22⋊Q8C22×D5311yescharacteristic
1958C22⋊Q8C22×D5312yes—
1959C22⋊Q8C22×D5312yes—
1960#121—532no—
1961#121—534no—
1962#121—532no—
1963#121—534no—
1964#121—534no—
1965#121—534no—
1966#121—534no—
1967#121—534no—
1968#121—534no—
1969#121—534no—
1970#121—534no—
1971#121—534no—
1972#121—534no—
1973#121—534no—
1974#121—534no—
1975#121—534no—
1976#121—534no—
1977#121—534no—
1978#121—534no—
1979#121—534no—
1980#121—534no—
1981#121—534no—
1982#121—534no—
1983#121—534no—
1984#121—531no—
1985#121—532no—
1986#121—532no—
1987#121—531no—
1988#121—531no—
1989#121—532no—
1990#121—532no—
1991#121—531no—
1992#121—532no—
1993#121—532no—
1994#121—532no—
1995#121—532no—
1996#121—532no—
1997#121—531no—
1998#121—531no—
1999#121—532no—
2000#121—532no—
2001#121—531no—
2002#121—531no—
2003#121—532no—
2004#121—532no—
2005#121—532no—
2006#121—534no—
2007#121—534no—
2008#121—532no—
2009#121—532no—
2010#121—534no—
2011#121—532no—
2012#121—532no—
2013#121—534no—
2014#121—534no—
2015#121—534no—
2016#121—534no—
2017#121—534no—
2018#121—534no—
2019#121—534no—
2020#121—534no—
2021#121—534no—
2022#121—534no—
2023#121—534no—
2024#121—534no—
2025#121—534no—
2026#121C22×D5311yescharacteristic
2027#121C22×D5311yescharacteristic
2028#121C22×D5311yescharacteristic
2029#121C22×D5311yescharacteristic
2030#121C22×D5312yes—
2031#121C22×D5312yes—
2032#121C22×D5312yes—
2033#121C22×D5311yescharacteristic
2034#121C22×D5311yescharacteristic
2035#121C22×D5311yescharacteristic
2036#121C22×D5311yescharacteristic
2037#121C22×D5312yes—
2038#120—532no—
2039#120—532no—
2040#120—534no—
2041#120—534no—
2042#120—532no—
2043#120—532no—
2044#120—532no—
2045#120—534no—
2046#120—532no—
2047#120—532no—
2048#120—534no—
2049#120—532no—
2050#120—534no—
2051#120—534no—
2052#120—534no—
2053#120—534no—
2054#120—534no—
2055#120—534no—
2056#120—534no—
2057#120—534no—
2058#120—534no—
2059#120—534no—
2060#120—534no—
2061#120—534no—
2062#120C22×D5312yes—
2063#120C22×D5312yes—
2064#120C22×D5312yes—
2065#120C22×D5312yes—
2066#120C22×D5312yes—
2067#120C22×D5312yes—
2068#120C22×D5312yes—
2069#120C22×D5312yes—
2070C4×Q8—532no—
2071C4×Q8—532no—
2072C4×Q8—532no—
2073C4×Q8—532no—
2074C4×Q8—534no—
2075C4×Q8—534no—
2076C4×Q8—534no—
2077C4×Q8—532no—
2078C4×Q8—532no—
2079C4×Q8—532no—
2080C4×Q8—532no—
2081C4×Q8—534no—
2082C4×D4—534no—
2083C4×D4—534no—
2084C4×D4—534no—
2085C4×D4—534no—
2086C4×D4—532no—
2087C4×D4—532no—
2088C4×D4—532no—
2089C4×D4—534no—
2090C4×D4—534no—
2091C4×D4—532no—
2092C4×D4—532no—
2093C4×D4—534no—
2094C4×D4—534no—
2095C4×D4—532no—
2096C4×D4—532no—
2097C4×D4—532no—
2098C4×D4—532no—
2099C4×D4—532no—
2100C4×D4—532no—
2101C4×D4—534no—
2102C4×D4—534no—
2103C4×D4—532no—
2104C4×D4—532no—
2105C4×D4—532no—
2106C4×D4—532no—
2107C4×D4—532no—
2108C4×D4—534no—
2109C4×D4—534no—
2110C4×D4—532no—
2111C4×D4—532no—
2112C4×D4—534no—
2113C4×D4—534no—
2114C4×D4—534no—
2115C4×D4—534no—
2116C4×D4—534no—
2117C4×D4—534no—
2118C4×D4—534no—
2119C4×D4—532no—
2120C4×D4—532no—
2121C4×D4—534no—
2122C4×D4—534no—
2123C4×D4—534no—
2124C4×D4—534no—
2125C4×D4—534no—
2126C4×D4—534no—
2127C4×D4—534no—
2128C4×D4—534no—
2129C4×D4—534no—
2130C4×D4—534no—
2131C4×D4—534no—
2132C4×D4—534no—
2133C4×D4—532no—
2134C4×D4—534no—
2135C4×D4—532no—
2136C4×D4—532no—
2137C4×D4—532no—
2138C4×D4C22×D5312yes—
2139C4×D4C22×D5312yes—
2140C4×D4C22×D5312yes—
2141C4×D4C22×D5312yes—
2142C4×D4C22×D5312yes—
2143C4×D4C22×D5312yes—
2144C4×D4C22×D5312yes—
2145C4×D4C22×D5312yes—
2146C4×D4C22×D5312yes—
2147C4×D4C22×D5312yes—
2148C4×D4C22×D5312yes—
2149C4×D4C22×D5312yes—
2150C4×D4C22×D5312yes—
2151C4×D4C22×D5312yes—
2152C4×D4C22×D5312yes—
2153C4×D4C22×D5312yes—
2154#117—531no—
2155#117—531no—
2156#117—532no—
2157#117—532no—
2158#117—531no—
2159#117—532no—
2160#117—532no—
2161#117—532no—
2162#117—532no—
2163#117—531no—
2164#117—532no—
2165#117—532no—
2166#117—534no—
2167#117—534no—
2168#117—532no—
2169#117—532no—
2170#117—534no—
2171#117—534no—
2172#117—534no—
2173#117—534no—
2174#117—534no—
2175#117—534no—
2176#117—534no—
2177#117—534no—
2178#117—534no—
2179#117C22×D5311yescharacteristic
2180#117C22×D5311yescharacteristic
2181#117C22×D5312yes—
2182#117C22×D5312yes—
2183#117C22×D5311yescharacteristic
2184#117C22×D5311yescharacteristic
2185C2×C4⋊C4—531no—
2186C2×C4⋊C4—531no—
2187C2×C4⋊C4—531no—
2188C2×C4⋊C4—531no—
2189C2×C4⋊C4—532no—
2190C2×C4⋊C4—532no—
2191C2×C4⋊C4—532no—
2192C2×C4⋊C4—532no—
2193C2×C4⋊C4—532no—
2194C2×C4⋊C4—532no—
2195C2×C4⋊C4—534no—
2196C2×C4⋊C4—532no—
2197C2×C4⋊C4—532no—
2198C2×C4⋊C4—534no—
2199C2×C4⋊C4—534no—
2200C2×C4⋊C4—534no—
2201C2×C4⋊C4C22×D5311yescharacteristic
2202C2×C4⋊C4C22×D5311yescharacteristic
2203C2×C4⋊C4C22×D5312yes—
2204C2×C4⋊C4C22×D5312yes—
2205C2×C22⋊C4—532no—
2206C2×C22⋊C4—532no—
2207C2×C22⋊C4—532no—
2208C2×C22⋊C4—532no—
2209C2×C22⋊C4—532no—
2210C2×C22⋊C4—532no—
2211C2×C22⋊C4—534no—
2212C2×C22⋊C4—532no—
2213C2×C22⋊C4—532no—
2214C2×C22⋊C4—532no—
2215C2×C22⋊C4—532no—
2216C2×C22⋊C4—534no—
2217C2×C22⋊C4—534no—
2218C2×C22⋊C4—534no—
2219C2×C22⋊C4—534no—
2220C2×C22⋊C4—534no—
2221C2×C22⋊C4—534no—
2222C2×C22⋊C4C22×D5312yes—
2223C2×C22⋊C4C22×D5312yes—
2224C2×C22⋊C4C22×D5312yes—
2225C2×C22⋊C4C22×D5312yes—
2226C2×C22⋊C4C22×D5312yes—
2227C2×C42—532no—
2228C2×C42—532no—
2229C2×C42C22×D5312yes—
2230C24—42no—
2231C24—42no—
2232C24—42no—
2233C24—532no—
2234C24—532no—
2235C24—534no—
2236C24C23×D5311yescharacteristic
2237C24C23×D5311yescharacteristic
2238C24C23×D5311yescharacteristic
2239C24C23×D5312yes—
2240C24C23×D5311yescharacteristic
2241C24C23×D5311yescharacteristic
2242C24C23×D5311yescharacteristic
2243C24C23×D5311yescharacteristic
2244#41—24no—
2245#41—24no—
2246#41—44no—
2247#41—44no—
2248#41—42no—
2249#41—42no—
2250#41—1064no—
2251#41—1064no—
2252#41—2124no—
2253#41—2128no—
2254#41—2124no—
2255#41—2124no—
2256#41—2124no—
2257#41—2124no—
2258#41—2124no—
2259#41—2122no—
2260#41—2122no—
2261#41—2124no—
2262#41—2124no—
2263#41—2128no—
2264#41—2128no—
2265#41—2124no—
2266#41—2124no—
2267C2×Q8—42no—
2268C2×Q8—531no—
2269C2×Q8—532no—
2270C2×Q8—532no—
2271C2×Q8—531no—
2272C2×Q8—534no—
2273C2×Q8—534no—
2274C2×Q8—532no—
2275C2×Q8—534no—
2276C2×Q8—1064no—
2277C2×Q8—2122no—
2278C2×Q8—2124no—
2279C2×Q8—2124no—
2280C2×Q8C23×D5311yescharacteristic
2281C2×Q8C23×D5311yescharacteristic
2282C2×Q8C23×D5312yes—
2283C2×D4—42no—
2284C2×D4—44no—
2285C2×D4—44no—
2286C2×D4—44no—
2287C2×D4—532no—
2288C2×D4—534no—
2289C2×D4—534no—
2290C2×D4—532no—
2291C2×D4—532no—
2292C2×D4—532no—
2293C2×D4—532no—
2294C2×D4—532no—
2295C2×D4—532no—
2296C2×D4—534no—
2297C2×D4—534no—
2298C2×D4—534no—
2299C2×D4—532no—
2300C2×D4—534no—
2301C2×D4—534no—
2302C2×D4—532no—
2303C2×D4—532no—
2304C2×D4—534no—
2305C2×D4—532no—
2306C2×D4—534no—
2307C2×D4—534no—
2308C2×D4—534no—
2309C2×D4—532no—
2310C2×D4—534no—
2311C2×D4—531no—
2312C2×D4—532no—
2313C2×D4—532no—
2314C2×D4—531no—
2315C2×D4—534no—
2316C2×D4—534no—
2317C2×D4—532no—
2318C2×D4—534no—
2319C2×D4—1064no—
2320C2×D4—2122no—
2321C2×D4—2124no—
2322C2×D4—2124no—
2323C2×D4—2124no—
2324C2×D4—2124no—
2325C2×D4—2128no—
2326C2×D4—2128no—
2327C2×D4—2128no—
2328C2×D4—2124no—
2329C2×D4—2124no—
2330C2×D4—2124no—
2331C2×D4—2124no—
2332C2×D4C23×D5312yes—
2333C2×D4C23×D5312yes—
2334C2×D4C23×D5312yes—
2335C2×D4C23×D5312yes—
2336C2×D4C23×D5311yescharacteristic
2337C2×D4C23×D5311yescharacteristic
2338C2×D4C23×D5312yes—
2339C2×D4C23×D5312yes—
2340C2×D4C23×D5312yes—
2341C2×D4C23×D5312yes—
2342C2×D4C23×D5312yes—
2343C2×D4C23×D5312yes—
2344C2×D4C23×D5312yes—
2345C2×D4C23×D5312yes—
2346C2×D4C23×D5312yes—
2347C22×C4—24no—
2348C22×C4—24no—
2349C22×C4—24no—
2350C22×C4—42no—
2351C22×C4—42no—
2352C22×C4—42no—
2353C22×C4—42no—
2354C22×C4—42no—
2355C22×C4—42no—
2356C22×C4—42no—
2357C22×C4—42no—
2358C22×C4—44no—
2359C22×C4—42no—
2360C22×C4—42no—
2361C22×C4—42no—
2362C22×C4—532no—
2363C22×C4—532no—
2364C22×C4—532no—
2365C22×C4—532no—
2366C22×C4—532no—
2367C22×C4—532no—
2368C22×C4—534no—
2369C22×C4—534no—
2370C22×C4—534no—
2371C22×C4—532no—
2372C22×C4—532no—
2373C22×C4—534no—
2374C22×C4—534no—
2375C22×C4—532no—
2376C22×C4—534no—
2377C22×C4—534no—
2378C22×C4—534no—
2379C22×C4—534no—
2380C22×C4—534no—
2381C22×C4—532no—
2382C22×C4—534no—
2383C22×C4—2124no—
2384C22×C4—2124no—
2385C22×C4C23×D5311yescharacteristic
2386C22×C4C23×D5311yescharacteristic
2387C22×C4C23×D5311yescharacteristic
2388C22×C4C23×D5312yes—
2389C22×C4C23×D5311yescharacteristic
2390C22×C4C23×D5311yescharacteristic
2391C22×C4C23×D5311yescharacteristic
2392C22×C4C23×D5312yes—
2393C22×C4C23×D5312yes—
2394C22×C4C23×D5311yescharacteristic
2395C22×C4C23×D5311yescharacteristic
2396C22×C4C23×D5311yescharacteristic
2397C22×C4C23×D5311yescharacteristic
2398C22×C4C23×D5311yescharacteristic
2399C22×C4C23×D5311yescharacteristic
2400C22×C4C23×D5311yescharacteristic
2401C22×C4C23×D5311yescharacteristic
2402C22×C4C23×D5311yescharacteristic
2403C22×C4C23×D5312yes—
2404C22×C4C23×D5311yescharacteristic
2405C22×C4C23×D5311yescharacteristic
2406C22×C4C23×D5312yes—
2407C22×C4C23×D5311yescharacteristic
2408C22×C4C23×D5311yescharacteristic
2409C22×C4C23×D5312yes—
2410C22×C4C23×D5312yes—
2411C22×C4C23×D5311yescharacteristic
2412C22×C4C23×D5311yescharacteristic
2413C22×C4C23×D5311yescharacteristic
2414C22×C4C23×D5311yescharacteristic
2415C22×C4C23×D5311yescharacteristic
2416C22×C4C23×D5311yescharacteristic
2417C22×C4C23×D5311yescharacteristic
2418C22×C4C23×D5311yescharacteristic
2419C22×C4C23×D5311yescharacteristic
2420C4⋊C4—531no—
2421C4⋊C4—532no—
2422C4⋊C4—532no—
2423C4⋊C4—531no—
2424C4⋊C4—532no—
2425C4⋊C4—532no—
2426C4⋊C4—532no—
2427C4⋊C4—532no—
2428C4⋊C4—532no—
2429C4⋊C4—534no—
2430C4⋊C4—534no—
2431C4⋊C4—534no—
2432C4⋊C4—534no—
2433C4⋊C4—531no—
2434C4⋊C4—531no—
2435C4⋊C4—532no—
2436C4⋊C4—532no—
2437C4⋊C4—532no—
2438C4⋊C4—532no—
2439C4⋊C4—532no—
2440C4⋊C4—532no—
2441C4⋊C4—534no—
2442C4⋊C4—534no—
2443C4⋊C4—532no—
2444C4⋊C4—534no—
2445C4⋊C4—534no—
2446C4⋊C4—534no—
2447C4⋊C4—534no—
2448C4⋊C4—534no—
2449C4⋊C4—534no—
2450C4⋊C4—534no—
2451C4⋊C4—534no—
2452C4⋊C4—534no—
2453C4⋊C4—534no—
2454C4⋊C4—534no—
2455C4⋊C4—534no—
2456C4⋊C4—534no—
2457C4⋊C4—534no—
2458C4⋊C4—534no—
2459C4⋊C4—534no—
2460C4⋊C4C23×D5312yes—
2461C4⋊C4C23×D5312yes—
2462C4⋊C4C23×D5311yescharacteristic
2463C4⋊C4C23×D5311yescharacteristic
2464C4⋊C4C23×D5312yes—
2465C4⋊C4C23×D5311yescharacteristic
2466C4⋊C4C23×D5311yescharacteristic
2467C4⋊C4C23×D5312yes—
2468C4⋊C4C23×D5312yes—
2469C4⋊C4C23×D5312yes—
2470C4⋊C4C23×D5312yes—
2471C4⋊C4C23×D5312yes—
2472C4⋊C4C23×D5312yes—
2473C4⋊C4C23×D5312yes—
2474C22⋊C4—532no—
2475C22⋊C4—532no—
2476C22⋊C4—534no—
2477C22⋊C4—534no—
2478C22⋊C4—534no—
2479C22⋊C4—534no—
2480C22⋊C4—532no—
2481C22⋊C4—532no—
2482C22⋊C4—532no—
2483C22⋊C4—534no—
2484C22⋊C4—534no—
2485C22⋊C4—532no—
2486C22⋊C4—532no—
2487C22⋊C4—532no—
2488C22⋊C4—532no—
2489C22⋊C4—534no—
2490C22⋊C4—534no—
2491C22⋊C4—532no—
2492C22⋊C4—532no—
2493C22⋊C4—534no—
2494C22⋊C4—532no—
2495C22⋊C4—534no—
2496C22⋊C4—534no—
2497C22⋊C4—534no—
2498C22⋊C4—532no—
2499C22⋊C4—532no—
2500C22⋊C4—532no—
2501C22⋊C4—534no—
2502C22⋊C4—534no—
2503C22⋊C4—534no—
2504C22⋊C4—534no—
2505C22⋊C4—532no—
2506C22⋊C4—532no—
2507C22⋊C4—532no—
2508C22⋊C4—532no—
2509C22⋊C4—534no—
2510C22⋊C4—534no—
2511C22⋊C4—534no—
2512C22⋊C4—534no—
2513C22⋊C4—534no—
2514C22⋊C4—534no—
2515C22⋊C4—534no—
2516C22⋊C4—532no—
2517C22⋊C4—534no—
2518C22⋊C4—534no—
2519C22⋊C4—534no—
2520C22⋊C4—534no—
2521C22⋊C4—534no—
2522C22⋊C4C23×D5312yes—
2523C22⋊C4C23×D5312yes—
2524C22⋊C4C23×D5312yes—
2525C22⋊C4C23×D5312yes—
2526C22⋊C4C23×D5312yes—
2527C22⋊C4C23×D5312yes—
2528C22⋊C4C23×D5312yes—
2529C22⋊C4C23×D5312yes—
2530C22⋊C4C23×D5312yes—
2531C22⋊C4C23×D5312yes—
2532C22⋊C4C23×D5312yes—
2533C22⋊C4C23×D5312yes—
2534C22⋊C4C23×D5312yes—
2535C22⋊C4C23×D5312yes—
2536C22⋊C4C23×D5312yes—
2537C22⋊C4C23×D5312yes—
2538C22⋊C4C23×D5312yes—
2539C22⋊C4C23×D5312yes—
2540C22⋊C4C23×D5312yes—
2541C22⋊C4C23×D5312yes—
2542C42—532no—
2543C42—534no—
2544C42—534no—
2545C42—532no—
2546C42—532no—
2547C42—532no—
2548C42—534no—
2549C42—534no—
2550C42—534no—
2551C42—534no—
2552C42—534no—
2553C42—534no—
2554C42C23×D5312yes—
2555C42C23×D5312yes—
2556C42C23×D5312yes—
2557C42C23×D5312yes—
2558C23—22no—
2559C23—22no—
2560C23—22no—
2561C23—22no—
2562C23—22no—
2563C23—22no—
2564C23—22no—
2565C23—22no—
2566C23—22no—
2567C23—24no—
2568C23—41no—
2569C23—41no—
2570C23—41no—
2571C23—41no—
2572C23—41no—
2573C23—41no—
2574C23—41no—
2575C23—41no—
2576C23—41no—
2577C23—41no—
2578C23—41no—
2579C23—41no—
2580C23—42no—
2581C23—42no—
2582C23—416no—
2583C23—532no—
2584C23—534no—
2585C23—532no—
2586C23—1064no—
2587C23—1064no—
2588C23—2124no—
2589C23—2124no—
2590C23—2124no—
2591C23—2122no—
2592C23—2122no—
2593C23—2122no—
2594C23—2122no—
2595C23C24×D5312yes—
2596C23C24×D5311yescharacteristic
2597C23C24×D5311yescharacteristic
2598C23C24×D5311yescharacteristic
2599C23C24×D5311yescharacteristic
2600C23C24×D5312yes—
2601C23C24×D5311yescharacteristic
2602C23C24×D5311yescharacteristic
2603C23C24×D5311yescharacteristic
2604Q8—22no—
2605Q8—22no—
2606Q8—42no—
2607Q8—1064no—
2608Q8—1064no—
2609Q8—1062no—
2610Q8—1062no—
2611Q8—2124no—
2612Q8—2122no—
2613Q8—2124no—
2614Q8—2124no—
2615D4—24no—
2616D4—24no—
2617D4—24no—
2618D4—24no—
2619D4—22no—
2620D4—22no—
2621D4—42no—
2622D4—42no—
2623D4—42no—
2624D4—42no—
2625D4—42no—
2626D4—42no—
2627D4—42no—
2628D4—42no—
2629D4—42no—
2630D4—1064no—
2631D4—1064no—
2632D4—1064no—
2633D4—1068no—
2634D4—1068no—
2635D4—1064no—
2636D4—1064no—
2637D4—1064no—
2638D4—1062no—
2639D4—1062no—
2640D4—2124no—
2641D4—2124no—
2642D4—2122no—
2643D4—2124no—
2644D4—2122no—
2645D4—2122no—
2646D4—2122no—
2647D4—2122no—
2648D4—2124no—
2649D4—2122no—
2650D4—2124no—
2651D4—2124no—
2652D4—2124no—
2653D4—2124no—
2654D4—2122no—
2655D4—2124no—
2656D4—2122no—
2657D4—2122no—
2658D4—2124no—
2659D4—2124no—
2660D4—2124no—
2661D4—2124no—
2662C2×C4—22no—
2663C2×C4—22no—
2664C2×C4—22no—
2665C2×C4—24no—
2666C2×C4—22no—
2667C2×C4—22no—
2668C2×C4—22no—
2669C2×C4—22no—
2670C2×C4—22no—
2671C2×C4—22no—
2672C2×C4—22no—
2673C2×C4—22no—
2674C2×C4—22no—
2675C2×C4—22no—
2676C2×C4—22no—
2677C2×C4—22no—
2678C2×C4—24no—
2679C2×C4—24no—
2680C2×C4—41no—
2681C2×C4—41no—
2682C2×C4—41no—
2683C2×C4—41no—
2684C2×C4—41no—
2685C2×C4—41no—
2686C2×C4—41no—
2687C2×C4—41no—
2688C2×C4—41no—
2689C2×C4—41no—
2690C2×C4—41no—
2691C2×C4—41no—
2692C2×C4—42no—
2693C2×C4—42no—
2694C2×C4—42no—
2695C2×C4—42no—
2696C2×C4—532no—
2697C2×C4—532no—
2698C2×C4—534no—
2699C2×C4—534no—
2700C2×C4—532no—
2701C2×C4—532no—
2702C2×C4—532no—
2703C2×C4—534no—
2704C2×C4—532no—
2705C2×C4—1064no—
2706C2×C4—1064no—
2707C2×C4—1064no—
2708C2×C4—1064no—
2709C2×C4—2122no—
2710C2×C4—2122no—
2711C2×C4—2124no—
2712C2×C4—2124no—
2713C2×C4—2124no—
2714C2×C4—2124no—
2715C2×C4—2124no—
2716C2×C4—2124no—
2717C2×C4—2124no—
2718C2×C4—2124no—
2719C2×C4—2122no—
2720C2×C4—2124no—
2721C2×C4—2122no—
2722C2×C4—2122no—
2723C2×C4—2122no—
2724C2×C4—2124no—
2725C2×C4—2124no—
2726C2×C4#1313326214yes—
2727C2×C4C24×D5312yes—
2728C2×C4C24×D5311yescharacteristic
2729C2×C4C24×D5311yescharacteristic
2730C2×C4C24×D5311yescharacteristic
2731C2×C4C24×D5312yes—
2732C2×C4C24×D5312yes—
2733C2×C4C24×D5312yes—
2734C2×C4C24×D5312yes—
2735C2×C4C24×D5311yescharacteristic
2736C2×C4C24×D5312yes—
2737C2×C4C24×D5311yescharacteristic
2738C2×C4C24×D5311yescharacteristic
2739C2×C4C24×D5311yescharacteristic
2740C2×C4C24×D5311yescharacteristic
2741C22—21no—
2742C22—21no—
2743C22—21no—
2744C22—21no—
2745C22—21no—
2746C22—21no—
2747C22—21no—
2748C22—21no—
2749C22—21no—
2750C22—21no—
2751C22—22no—
2752C22—22no—
2753C22—22no—
2754C22—22no—
2755C22—22no—
2756C22—21no—
2757C22—21no—
2758C22—21no—
2759C22—22no—
2760C22—21no—
2761C22—21no—
2762C22—21no—
2763C22—21no—
2764C22—21no—
2765C22—44no—
2766C22—44no—
2767C22—44no—
2768C22—44no—
2769C22—44no—
2770C22—44no—
2771C22—44no—
2772C22—84no—
2773C22—8484no—
2774C22—1062no—
2775C22—1062no—
2776C22—1064no—
2777C22—1062no—
2778C22—1062no—
2779C22—1064no—
2780C22—1064no—
2781C22—1062no—
2782C22—1062no—
2783C22—4244no—
2784C22—4244no—
2785C22C2×#1313326212yes—
2786C22#1681145912yes—
2787C22#1681145912yes—
2788C22C25×D5311yescharacteristic
2789C4—21no—
2790C4—21no—
2791C4—21no—
2792C4—21no—
2793C4—21no—
2794C4—21no—
2795C4—22no—
2796C4—22no—
2797C4—22no—
2798C4—22no—
2799C4—22no—
2800C4—22no—
2801C4—1062no—
2802C4—1062no—
2803C4—1064no—
2804C4—1062no—
2805C4—1062no—
2806C4—1062no—
2807C4—1064no—
2808C4—1064no—
2809C4—1062no—
2810C4C2×#1313326212yes—
2811C4C2×#1313326212yes—
2812C2—22no—
2813C2—22no—
2814C2—22no—
2815C2—41no—
2816C2—41no—
2817C2—41no—
2818C2—41no—
2819C2—42no—
2820C2—42no—
2821C2—2122no—
2822C2—2124no—
2823C2—2122no—
2824C2C22×#1313326211yescharacteristic
2825C2C2×#1681145911yescharacteristic
2826C2C2×#1681145911yescharacteristic
subgroupG/H
center, FrattiniC22C25×D53
commutator, socle, cosocleC22×C53C26
FittingC2×C53×#525C2
hypercenterC2×#525D53
hypocenterC53#62821
LCSG ▷ C22×C53 ▷ C53
UCSC1 ◁ C22 ◁ C2×#525

Complements

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

NH ≅ G/Ntype
1. #20289035C2semidirect
2. #20289031C2semidirect
3. #20289012C2semidirect
4. #20289008C2semidirect
5. #20288990C2semidirect
6. #20288983C2semidirect
7. #20288975C2semidirect
8. #20288971C2semidirect
9. #20288879C2semidirect
10. #20288870C2semidirect
11. #20288764C2semidirect
12. #20288758C2semidirect
13. #20288747C2semidirect
14. #20288741C2semidirect
15. #20288647C2semidirect
16. #20288641C2semidirect
17. #20288567C2semidirect
18. #20288558C2semidirect
19. #20288554C2semidirect
20. #20288543C2semidirect
21. #20288469C2semidirect
22. #20288467C2semidirect
23. #20288452C2semidirect
24. #20288450C2semidirect
25. #20288432C2semidirect
26. #20288432C2semidirect
27. #20288395C2semidirect
28. #20288387C2semidirect
29. #20288384C2semidirect
30. #20288376C2semidirect
31. #20288369C2semidirect
32. #20288357C2semidirect
33. C2×#16811134C2semidirect
34. C2×#16811134C2semidirect
35. C2×C53×#525C2semidirect
36. C2×#13133264C22semidirect
37. C2×#13133263C22semidirect
38. C22×#11719945C22semidirect
39. C22×#11719945C22semidirect
40. #16811374C22semidirect
41. #16811369C22semidirect
42. #16811368C22semidirect
43. #16811366C22semidirect
44. #16811362C22semidirect
45. #16811362C22semidirect
46. #16811362C22semidirect
47. #16811361C22semidirect
48. #16811357C22semidirect
49. #16811356C22semidirect
50. #16811356C22semidirect
51. #16811344C22semidirect
52. #16811344C22semidirect
53. #16811343C22semidirect
54. #16811343C22semidirect
55. #16811343C22semidirect
56. #16811341C22semidirect
57. #16811338C22semidirect
58. #16811338C22semidirect
59. #16811338C22semidirect
60. #16811337C22semidirect
61. #16811337C22semidirect
62. #16811336C22semidirect
63. #16811330C22semidirect
64. #16811328C22semidirect
65. #16811328C22semidirect
66. #16811327C22semidirect
67. #16811323C22semidirect
68. #16811323C22semidirect
69. #16811322C22semidirect
70. #16811322C22semidirect
71. #16811321C22semidirect
72. #16811321C22semidirect
73. #16811320C22semidirect
74. #16811320C22semidirect
75. #16811319C22semidirect
76. #16811319C22semidirect
77. #16811319C22semidirect
78. #16811319C22semidirect
79. #16811318C22semidirect
80. #16811318C22semidirect
81. #16811317C22semidirect
82. #16811316C22semidirect
83. #16811313C22semidirect
84. #16811313C22semidirect
85. #16811313C22semidirect
86. #16811313C22semidirect
87. #16811312C22semidirect
88. #16811310C22semidirect
89. #16811308C22semidirect
90. #16811307C22semidirect
91. #16811307C22semidirect
92. #16811306C22semidirect
93. #16811304C22semidirect
94. #16811302C22semidirect
95. #16811302C22semidirect
96. #16811301C22semidirect
97. #16811300C22semidirect
98. #16811299C22semidirect
99. #16811299C22semidirect
100. #16811299C22semidirect
101. #16811297C22semidirect
102. #16811296C22semidirect
103. #16811294C22semidirect
104. #16811294C22semidirect
105. #16811294C22semidirect
106. #16811292C22semidirect
107. #16811291C22semidirect
108. #16811291C22semidirect
109. D4×Dic106C22semidirect
110. Q8×C22⋊D53C22semidirect
111. #16811284C22semidirect
112. #16811283C22semidirect
113. #16811283C22semidirect
114. #16811282C22semidirect
115. #16811282C22semidirect
116. #16811282C22semidirect
117. #16811282C22semidirect
118. #16811280C22semidirect
119. #16811278C22semidirect
120. #16811278C22semidirect
121. #16811278C22semidirect
122. #16811277C22semidirect
123. #16811275C22semidirect
124. #16811275C22semidirect
125. #16811274C22semidirect
126. #16811272C22semidirect
127. #16811272C22semidirect
128. #16811271C22semidirect
129. #16811270C22semidirect
130. #16811270C22semidirect
131. #16811269C22semidirect
132. #16811269C22semidirect
133. #16811269C22semidirect
134. #16811269C22semidirect
135. #16811267C22semidirect
136. #16811267C22semidirect
137. #16811267C22semidirect
138. #16811265C22semidirect
139. #16811263C22semidirect
140. #16811263C22semidirect
141. #16811263C22semidirect
142. #16811262C22semidirect
143. #16811261C22semidirect
144. #16811261C22semidirect
145. #16811260C22semidirect
146. #16811260C22semidirect
147. D4×D212C22semidirect
148. D4×C22⋊D53C22semidirect
149. D4×C22⋊D53C22semidirect
150. D4×C22⋊D53C22semidirect
151. #16811255C22semidirect
152. #16811251C22semidirect
153. #16811251C22semidirect
154. #16811246C22semidirect
155. #16811244C22semidirect
156. #16811244C22semidirect
157. #16811243C22semidirect
158. #16811243C22semidirect
159. #16811241C22semidirect
160. #16811240C22semidirect
161. #16811238C22semidirect
162. #16811235C22semidirect
163. #16811233C22semidirect
164. #16811228C22semidirect
165. #16811226C22semidirect
166. #16811225C22semidirect
167. #16811224C22semidirect
168. #16811223C22semidirect
169. #16811223C22semidirect
170. #16811220C22semidirect
171. #16811219C22semidirect
172. #16811219C22semidirect
173. #16811216C22semidirect
174. #16811215C22semidirect
175. #16811215C22semidirect
176. #16811211C22semidirect
177. #16811211C22semidirect
178. #16811211C22semidirect
179. #16811209C22semidirect
180. #16811208C22semidirect
181. #16811208C22semidirect
182. #16811208C22semidirect
183. #16811208C22semidirect
184. #16811206C22semidirect
185. #16811206C22semidirect
186. #16811205C22semidirect
187. #16811205C22semidirect
188. #16811203C22semidirect
189. #16811202C22semidirect
190. #16811201C22semidirect
191. #16811201C22semidirect
192. #16811201C22semidirect
193. #16811201C22semidirect
194. #16811199C22semidirect
195. #16811196C22semidirect
196. #16811194C22semidirect
197. #16811194C22semidirect
198. #16811192C22semidirect
199. #16811190C22semidirect
200. #16811189C22semidirect
201. #16811188C22semidirect
202. #16811188C22semidirect
203. #16811187C22semidirect
204. #16811187C22semidirect
205. #16811183C22semidirect
206. #16811183C22semidirect
207. #16811182C22semidirect
208. #16811180C22semidirect
209. #16811175C22semidirect
210. #16811173C22semidirect
211. #16811168C22semidirect
212. #16811159C22semidirect
213. #16811157C22semidirect
214. #16811157C22semidirect
215. #16811154C22semidirect
216. #16811150C22semidirect
217. #16811150C22semidirect
218. #16811136C22semidirect
220. #16811134C22semidirect
221. #16811134C22semidirect
222. #16811134C22semidirect
223. #16811134C22semidirect
224. #16811134C22semidirect
225. #16811134C22semidirect
226. #16811134C22semidirect
227. #16811134C22semidirect
228. #16811134C22semidirect
229. #16811134C22semidirect
230. #16811134C22semidirect
231. #16811134C22semidirect
232. #16811134C22semidirect
233. #16811134C22semidirect
234. #16811134C22semidirect
235. #16811134C22semidirect
236. #16811134C22semidirect
237. #16811134C22semidirect
238. #16811134C22semidirect
239. #16811134C22semidirect
240. #16811134C22semidirect
241. #16811133C22semidirect
242. #16811131C22semidirect
243. C2×#13133200C22semidirect
244. C2×#13133200C22semidirect
245. #123×D53C22semidirect
246. C2×#13133196C22semidirect
247. C2×#13133196C22semidirect
248. C2×#13133196C22semidirect
249. C2×#13133196C22semidirect
250. C2×#13133196C22semidirect
251. C22⋊Q8×D53C22semidirect
252. C2×#13133191C22semidirect
253. C2×#13133191C22semidirect
254. C2×#13133191C22semidirect
255. C2×#13133191C22semidirect
256. C2×#13133191C22semidirect
257. #121×D53C22semidirect
258. C2×#13133186C22semidirect
259. C2×#13133186C22semidirect
260. #16811106C22semidirect
261. #16811106C22semidirect
262. #16811104C22semidirect
263. #16811103C22semidirect
264. #16811103C22semidirect
265. #16811102C22semidirect
266. #16811100C22semidirect
267. #16811097C22semidirect
268. #16811096C22semidirect
269. #16811095C22semidirect
270. C2×C4×C22⋊D53C22semidirect
271. C2×C4×C22⋊D53C22semidirect
272. C2×C4×C22⋊D53C22semidirect
273. C2×C4×C22⋊D53C22semidirect
274. C2×#13133176C22semidirect
275. C2×#13133176C22semidirect
276. C22×#41×C53C22semidirect
277. C24×C4×C53C22semidirect
279. C53×#525C22semidirect
280. C53×#525C22semidirect
281. C53×#525C22semidirect
282. C53×#525C22semidirect
283. C53×#525C22semidirect
284. C53×#525C22semidirect
285. C53×#525C22semidirect
286. C53×#525C22semidirect
287. C53×#525C22semidirect
288. C53×#525C22semidirect
289. C53×#525C22semidirect
290. C2×#123×C53C22semidirect
291. C2×C22⋊Q8×C53C22semidirect
292. C2×C22⋊Q8×C53C22semidirect
293. C2×#121×C53C22semidirect
294. C2×#121×C53C22semidirect
295. C2×#120×C53C22semidirect
296. C2×C4×D4×C53C22semidirect
297. C2×C4×D4×C53C22semidirect
298. C2×#117×C53C22semidirect
301. C2×#11719949C23semidirect
315. C2×#11719945C23semidirect
316. C2×#11719945C23semidirect
319. C2×#11719947C23semidirect
322. C22×Dic106C23semidirect
323. C2×Q8×D53C23semidirect
326. C22×D212C23semidirect
336. C2×D4×D53C23semidirect
339. #13133217C23semidirect
340. #13133217C23semidirect
341. #13133217C23semidirect
342. #13133216C23semidirect
343. #13133216C23semidirect
344. #13133216C23semidirect
345. #13133215C23semidirect
346. #13133215C23semidirect
347. #13133214C23semidirect
352. #13133213C23semidirect
353. #13133212C23semidirect
354. #13133212C23semidirect
355. #13133212C23semidirect
356. #13133212C23semidirect
357. #13133212C23semidirect
358. #13133212C23semidirect
359. #13133211C23semidirect
360. #13133211C23semidirect
369. #13133210C23semidirect
370. #13133210C23semidirect
371. #13133210C23semidirect
372. #13133210C23semidirect
373. #13133209C23semidirect
374. #13133209C23semidirect
375. #13133209C23semidirect
376. #13133208C23semidirect
377. #13133208C23semidirect
378. #13133208C23semidirect
379. #13133207C23semidirect
380. #13133207C23semidirect
381. #13133207C23semidirect
382. #13133207C23semidirect
383. #13133207C23semidirect
384. #13133207C23semidirect
385. #13133206C23semidirect
386. #13133206C23semidirect
387. #13133205C23semidirect
388. #13133205C23semidirect
389. #13133205C23semidirect
394. #13133204C23semidirect
403. #13133203C23semidirect
404. #13133203C23semidirect
405. #13133203C23semidirect
406. #13133203C23semidirect
407. #13133202C23semidirect
408. #13133202C23semidirect
409. #13133202C23semidirect
410. #13133202C23semidirect
411. #13133202C23semidirect
412. #13133202C23semidirect
415. #13133201C23semidirect
430. #13133200C23semidirect
431. #13133200C23semidirect
440. #13133199C23semidirect
441. #13133199C23semidirect
442. #13133199C23semidirect
443. #13133199C23semidirect
450. #13133198C23semidirect
451. #13133197C23semidirect
452. #13133197C23semidirect
453. #13133197C23semidirect
476. #13133196C23semidirect
477. #13133196C23semidirect
478. #13133196C23semidirect
479. #13133196C23semidirect
480. #13133196C23semidirect
481. #13133195C23semidirect
482. #13133195C23semidirect
483. #13133195C23semidirect
484. #13133195C23semidirect
485. #13133195C23semidirect
486. #13133195C23semidirect
491. #13133194C23semidirect
492. #13133194C23semidirect
493. #13133193C23semidirect
494. #13133193C23semidirect
495. #13133193C23semidirect
496. #13133193C23semidirect
497. #13133192C23semidirect
498. #13133192C23semidirect
499. #13133192C23semidirect
522. #13133191C23semidirect
523. #13133191C23semidirect
524. #13133191C23semidirect
525. #13133191C23semidirect
526. #13133191C23semidirect
535. #13133190C23semidirect
536. #13133190C23semidirect
537. #13133190C23semidirect
538. #13133190C23semidirect
551. #13133189C23semidirect
552. #13133189C23semidirect
561. #13133188C23semidirect
562. #13133188C23semidirect
565. #13133187C23semidirect
586. #13133185C23semidirect
587. Q8×Dic53C23semidirect
588. Q8×Dic53C23semidirect
589. C4×Dic106C23semidirect
590. C4×Dic106C23semidirect
591. C4×Dic106C23semidirect
592. C4×Dic106C23semidirect
593. C4×Dic106C23semidirect
594. #13133182C23semidirect
595. #13133182C23semidirect
596. #13133182C23semidirect
597. #13133182C23semidirect
598. #13133182C23semidirect
599. C4×D212C23semidirect
600. C4×D212C23semidirect
601. C4×D212C23semidirect
602. C4×D212C23semidirect
603. C4×D212C23semidirect
608. D4×Dic53C23semidirect
609. D4×Dic53C23semidirect
610. #13133179C23semidirect
611. #13133179C23semidirect
612. #13133179C23semidirect
613. #13133179C23semidirect
614. #13133179C23semidirect
643. C4×C22⋊D53C23semidirect
644. C4×C22⋊D53C23semidirect
649. #13133177C23semidirect
650. #13133177C23semidirect
651. #13133177C23semidirect
652. #13133177C23semidirect
653. #13133177C23semidirect
654. #13133177C23semidirect
666. #13133176C23semidirect
667. #13133176C23semidirect
668. #13133175C23semidirect
669. #13133175C23semidirect
670. #13133175C23semidirect
671. #13133175C23semidirect
672. #13133175C23semidirect
673. #13133174C23semidirect
674. #13133174C23semidirect
677. #13133173C23semidirect
678. #13133173C23semidirect
679. #13133173C23semidirect
684. C2×C4⋊Dic53C23semidirect
685. C2×C4⋊Dic53C23semidirect
690. C2×#11719919C23semidirect
691. C4⋊C4×D53C23semidirect
692. C4⋊C4×D53C23semidirect
693. C4⋊C4×D53C23semidirect
694. C4⋊C4×D53C23semidirect
695. C4⋊C4×D53C23semidirect
707. C2×#11719921C23semidirect
710. C22⋊C4×D53C23semidirect
711. C22⋊C4×D53C23semidirect
712. C22⋊C4×D53C23semidirect
1433. C2×#525D53semidirect
1453. C22×#41C2×D53semidirect
1454. C24×C4C2×D53semidirect
1659. #525C2×D53semidirect
1660. #525C2×D53semidirect
1661. #525C2×D53semidirect
1662. #525C2×D53semidirect
1663. #525C2×D53semidirect
1664. #525C2×D53semidirect
1665. #525C2×D53semidirect
1666. #525C2×D53semidirect
1667. #525C2×D53semidirect
1668. #525C2×D53semidirect
1669. #525C2×D53semidirect
1673. C2×#123C2×D53semidirect
1680. C2×C22⋊Q8C2×D53semidirect
1681. C2×C22⋊Q8C2×D53semidirect
1688. C2×#121C2×D53semidirect
1689. C2×#121C2×D53semidirect
1692. C2×#120C2×D53semidirect
1707. C2×C4×D4C2×D53semidirect
1708. C2×C4×D4C2×D53semidirect
1711. C2×#117C2×D53semidirect
1712. C53#62821semidirect

Maximal subgroups

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

subgroupindex
#202890352
#202890312
#202890122
#202890082
#202889902
#202889832
#202889752
#202889712
#202888792
#202888702
#202887642
#202887582
#202887472
#202887412
#202886472
#202886412
#202885672
#202885582
#202885542
#202885432
#202884692
#202884672
#202884522
#202884502
#202884322
#202883952
#202883872
#202883842
#202883762
#202883692
#202883572
C2×#168111342
C2×C53×#5252
#6282153