Finite Group Databasebeta

← #28292814

Subgroups — #28292814

Order 13568.

6530 conjugacy classes of subgroups.

The subgroup lattice has 1924 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#20289323C212yesmaximal, complemented
2#20289314C212yesmaximal, complemented
3#20289312C214yesmaximal, complemented
4#20289251C212yesmaximal, complemented
5#20289242C212yesmaximal, complemented
6#20289240C214yesmaximal, complemented
7#20289167C214yesmaximal, complemented
8#20289163C214yesmaximal, complemented
9#20288685C214yesmaximal, complemented
10#20288683C214yesmaximal, complemented
11#20288682C214yesmaximal, complemented
12#20288680C214yesmaximal, complemented
13#20288631C214yesmaximal, complemented
14#20288535C214yesmaximal, complemented
15#20288424C211yesmaximal, characteristic, complemented
16#20288421C212yesmaximal, complemented
17#20288416C212yesmaximal, complemented
18#20288416C212yesmaximal, complemented
19#20288416C212yesmaximal, complemented
20#20288416C212yesmaximal, complemented
21#20288007C212yesmaximal, complemented
22C22×#13133207C211yesmaximal, characteristic, complemented
23C53×#3492C211yesmaximal, characteristic, complemented
24C53⋊#564C2214yescomplemented
25C53⋊#564C2214yescomplemented
26#16811376C2214yescomplemented
27#16811375C2214yescomplemented
28#16811374C2214yescomplemented
29#16811372C2214yescomplemented
30#16811369C2214yescomplemented
31#16811368C2214yescomplemented
32#16811351C2214yescomplemented
33#16811350C2214yescomplemented
34#16811350C2214yescomplemented
35#16811348C2214yescomplemented
36#16811332C2214yes—
37#16811332C2214yes—
38#16811332C2214yes—
39#16811332C2214yes—
40#16811331C2214yes—
41#16811331C2214yescomplemented
42#16811330C2214yes—
43#16811328C2214yes—
44#16811328C2214yescomplemented
45#16811327C2214yes—
46#16811327C2214yes—
47#16811327C2214yes—
48#16811327C2214yes—
49#16811327C2214yescomplemented
50#16811327C2214yescomplemented
51#16811325C2214yes—
52#16811324C2214yescomplemented
53#16811322C2214yes—
54#16811322C2214yes—
55#16811322C2214yes—
56#16811322C2214yes—
57#16811322C2214yescomplemented
58#16811321C2214yes—
59#16811319C2214yes—
60#16811318C2214yescomplemented
61#16811316C2214yes—
62#16811316C2214yes—
63#16811316C2214yes—
64#16811316C2214yes—
65#16811316C2214yescomplemented
66#16811315C2214yes—
67#16811314C2214yescomplemented
68#16811313C2214yes—
69#16811313C2214yescomplemented
70#16811310C2214yes—
71#16811310C2214yes—
72#16811310C2214yes—
73#16811310C2214yes—
74#16811310C2214yescomplemented
75#16811310C2214yescomplemented
76#16811309C2214yescomplemented
77#16811309C2214yescomplemented
78#16811308C2214yes—
79#16811308C2214yescomplemented
80#16811307C2214yescomplemented
81#16811306C2214yes—
82#16811306C2214yes—
83#16811306C2214yes—
84#16811306C2214yes—
85#16811306C2214yescomplemented
86#16811306C2214yescomplemented
87#16811305C2214yescomplemented
88#16811305C2214yescomplemented
89#16811277C2214yes—
90#16811274C2214yes—
91#16811273C2214yes—
92#16811272C2214yes—
93#16811272C2214yes—
94#16811272C2214yes—
95#16811272C2214yes—
96#16811271C2214yes—
97#16811271C2214yes—
98#16811271C2214yes—
99#16811271C2214yes—
100#16811254C2211yescharacteristic
101#16811253C2214yescomplemented
102#16811252C2212yes—
103#16811252C2212yes—
104#16811252C2212yes—
105#16811252C2212yes—
106#16811252C2214yescomplemented
107#16811252C2214yescomplemented
108#16811251C2212yes—
109#16811250C2214yescomplemented
110#16811235C2214yescomplemented
111#16811234C2214yescomplemented
112#16811233C2214yescomplemented
113#16811232C2214yescomplemented
114#16811232C2214yescomplemented
115#16811232C2214yescomplemented
116#16811231C2214yescomplemented
117#16811230C2214yescomplemented
118#16811230C2214yescomplemented
119#16811230C2214yescomplemented
120#16811225C2214yescomplemented
121#16811223C2214yescomplemented
122#16811222C2212yes—
123#16811222C2212yes—
124#16811222C2212yes—
125#16811222C2212yes—
126#16811221C2214yescomplemented
127#16811220C2212yes—
128#16811220C2212yes—
129#16811220C2214yescomplemented
130#16811219C2214yescomplemented
131#16811219C2214yescomplemented
132#16811218C2212yes—
133#16811218C2212yes—
134#16811218C2212yes—
135#16811218C2212yes—
136#16811218C2214yescomplemented
137#16811217C2214yes—
138#16811217C2214yes—
139#16811217C2214yescomplemented
140#16811216C2214yescomplemented
141#16811215C2214yes—
142#16811215C2214yes—
143#16811215C2214yes—
144#16811215C2214yes—
145#16811215C2214yescomplemented
146#16811204C2211yescharacteristic
147#16811201C2212yes—
148#16811200C2212yes—
149#16811200C2212yes—
150#16811200C2212yes—
151#16811200C2212yes—
152#16811177C2214yescomplemented
153#16811176C2212yes—
154#16811175C2212yes—
155#16811175C2212yes—
156#16811175C2214yescomplemented
157#16811169C2212yes—
158#16811168C2212yes—
159#16811168C2212yes—
160#16811159C2212yes—
161#16811159C2212yes—
162#16811156C2214yescomplemented
163#16811154C2212yes—
164#16811154C2212yes—
165#16811153C2214yes—
166#16811153C2214yes—
167#16811153C2214yescomplemented
168#16811151C2214yescomplemented
169#16811150C2214yes—
170#16811150C2214yes—
171#16811150C2214yescomplemented
172C2×#13133207C2214yes—
173C2×#13133207C2214yes—
174C2×#13133207C2212yes—
175C2×#13133207C2212yes—
176C2×#13133207C2214yes—
177C2×#13133207C2214yes—
178C2×#13133207C2212yes—
179C2×#13133207C2212yes—
180C2×#13133207C2214yescomplemented
181#125×D53C2214yescomplemented
182#16811134C2212yes—
183#16811134C2212yes—
184#16811134C2212yes—
185#16811129C2214yes—
186#16811129C2214yes—
187#16811129C2214yes—
188#16811129C2214yes—
189#16811106C2212yes—
190#16811104C2212yes—
191#16811103C2212yes—
192#16811102C2214yes—
193#16811102C2214yes—
194#16811102C2214yes—
195#16811102C2214yes—
196#41×Dic53C2212yes—
197#16811091C2212yes—
198C4×#11719947C2214yes—
199C4×#11719947C2214yes—
200C22×C4⋊Dic53C2211yescharacteristic
201C22×#11719919C2211yescharacteristic
202C22×#11719919C2211yescharacteristic
203C22×#11719919C2211yescharacteristic
204C22×#11719919C2211yescharacteristic
205C22×C4×Dic53C2211yescharacteristic
206C53×#554C2214yes—
207C53×#553C2214yes—
208C53×#552C2214yes—
209C53×#547C2214yes—
210C53×#544C2211yescharacteristic
211C53×#539C2212yes—
212C53×#539C2212yes—
213C53×#537C2211yescharacteristic
214C53×#525C2212yes—
215C53×#525C2212yes—
216C53×#525C2212yes—
217C53×#520C2212yes—
218C22×C4⋊C4×C53C2211yescharacteristic
219C2×#11719945C2312yes—
220C2×#11719945C2312yes—
221C2×#11719945C2312yes—
222C2×#11719947C2314yes—
223C2×#11719947C2314yes—
224C2×#11719947C2314yes—
225C2×#11719947C2314yes—
226C23×Dic53C2311yescharacteristic
227C23×Dic53C2311yescharacteristic
228C23×Dic53C2311yescharacteristic
229C23×Dic53C2311yescharacteristic
230#13133217C2314yes—
231#13133216C2314yes—
232#13133216C2314yes—
233#13133216C2314yes—
234#13133216C2314yes—
235#13133216C2314yes—
236#13133216C2314yes—
237#13133216C2312yes—
238#13133216C2312yes—
239#13133215C2314yes—
240#13133215C2314yes—
241#13133215C2314yes—
242#13133215C2314yes—
243#13133215C2312yes—
244#13133213C2312yes—
245#13133212C2314yes—
246#13133212C2314yes—
247#13133212C2314yes—
248#13133212C2314yes—
249#13133212C2314yes—
250#13133212C2314yes—
251#13133212C2314yes—
252#13133212C2314yes—
253#13133212C2314yes—
254#13133212C2314yes—
255#13133211C2314yes—
256#13133211C2314yes—
257#13133211C2314yes—
258#13133211C2314yes—
259#13133210C2314yes—
260#13133210C2314yes—
261#13133210C2314yes—
262#13133210C2314yes—
263#13133210C2314yes—
264#13133210C2314yes—
265#13133210C2314yes—
266#13133210C2314yes—
267#13133210C2314yes—
268#13133210C2314yes—
269#13133210C2314yes—
270#13133210C2314yes—
271#13133209C2314yes—
272#13133209C2314yes—
273#13133209C2314yes—
274#13133209C2314yes—
275#13133209C2314yes—
276#13133208C2314yes—
277#13133208C2314yes—
278#13133208C2314yes—
279#13133208C2314yes—
280#13133208C2314yes—
281#13133208C2314yes—
282#13133208C2314yes—
283#13133208C2314yes—
284#13133208C2312yes—
285#13133208C2312yes—
286#13133207C2314yes—
287#13133207C2314yes—
288#13133207C2314yes—
289#13133207C2314yes—
290#13133207C2314yes—
291#13133207C2314yes—
292#13133207C2314yes—
293#13133207C2314yes—
294#13133207C2314yes—
295#13133207C2314yes—
296#13133207C2314yes—
297#13133207C2314yes—
298#13133207C2314yes—
299#13133207C2314yes—
300#13133207C2314yes—
301#13133207C2314yes—
302#13133207C2314yes—
303#13133207C2314yes—
304#13133207C2314yes—
305#13133207C2314yes—
306#13133207C2314yes—
307#13133207C2314yes—
308#13133207C2314yes—
309#13133207C2314yes—
310#13133207C2314yes—
311#13133207C2314yes—
312#13133207C2314yes—
313#13133207C2314yes—
314#13133207C2314yes—
315#13133207C2314yes—
316#13133207C2314yes—
317#13133207C2314yes—
318#13133207C2314yes—
319#13133207C2314yes—
320#13133207C2314yes—
321#13133207C2314yes—
322#13133207C2314yes—
323#13133207C2314yes—
324#13133206C2312yes—
325#13133204C2312yes—
326#13133203C2314yes—
327#13133203C2314yes—
328#13133202C2314yes—
329#13133202C2314yes—
330#13133202C2314yes—
331#13133202C2314yes—
332#13133202C2314yes—
333#13133202C2314yes—
334#13133201C2314yes—
335#13133201C2314yes—
336#13133201C2314yes—
337#13133201C2314yes—
338#13133201C2314yes—
339#13133201C2314yes—
340#13133200C2314yes—
341#13133200C2314yes—
342#13133200C2314yes—
343#13133200C2314yes—
344#13133200C2314yes—
345#13133200C2314yes—
346#13133200C2314yes—
347#13133199C2314yes—
348#13133199C2314yes—
349#13133199C2314yes—
350#13133199C2314yes—
351#13133199C2314yes—
352#13133199C2314yes—
353#13133198C2314yes—
354#13133198C2314yes—
355#13133198C2314yes—
356#13133198C2314yes—
357#13133198C2314yes—
358#13133198C2314yes—
359#13133198C2314yes—
360#13133198C2314yes—
361#13133197C2314yes—
362#13133197C2314yes—
363#13133197C2314yes—
364#13133196C2314yes—
365#13133196C2314yes—
366#13133196C2314yes—
367#13133196C2314yes—
368#13133196C2312yes—
369#13133196C2312yes—
370#13133196C2314yes—
371#13133196C2312yes—
372#13133196C2312yes—
373#13133196C2312yes—
374#13133196C2312yes—
375#13133195C2314yes—
376#13133195C2314yes—
377#13133195C2314yes—
378#13133195C2314yes—
379#13133195C2314yes—
380#13133195C2314yes—
381#13133195C2314yes—
382#13133195C2314yes—
383#13133195C2314yes—
384#13133195C2314yes—
385#13133194C2314yes—
386#13133194C2314yes—
387#13133194C2314yes—
388#13133194C2314yes—
389#13133194C2314yes—
390#13133194C2314yes—
391#13133194C2314yes—
392#13133194C2314yes—
393#13133194C2314yes—
394#13133194C2314yes—
395#13133194C2314yes—
396#13133194C2314yes—
397#13133194C2314yes—
398#13133194C2314yes—
399#13133194C2314yes—
400#13133194C2314yes—
401#13133194C2314yes—
402#13133194C2314yes—
403#13133193C2314yes—
404#13133193C2314yes—
405#13133193C2314yes—
406#13133193C2314yes—
407#13133193C2314yes—
408#13133192C2314yes—
409#13133191C2312yes—
410#13133191C2312yes—
411#13133191C2314yes—
412#13133191C2312yes—
413#13133191C2312yes—
414#13133191C2312yes—
415#13133191C2312yes—
416#13133190C2314yes—
417#13133190C2314yes—
418#13133190C2314yes—
419#13133190C2314yes—
420#13133189C2314yes—
421#13133189C2314yes—
422#13133189C2314yes—
423#13133189C2314yes—
424#13133189C2314yes—
425#13133189C2314yes—
426#13133189C2314yes—
427#13133189C2314yes—
428#13133189C2314yes—
429#13133189C2314yes—
430#13133189C2314yes—
431#13133189C2314yes—
432#13133188C2314yes—
433#13133186C2314yes—
434Q8×Dic53C2314yes—
435Q8×Dic53C2312yes—
436Q8×Dic53C2312yes—
437C4×Dic106C2314yes—
438C4×Dic106C2314yes—
439C4×Dic106C2314yes—
440C4×Dic106C2314yes—
441C4×Dic106C2314yes—
442C4×Dic106C2314yes—
443C4×Dic106C2314yes—
444#13133182C2314yes—
445#13133182C2314yes—
446#13133182C2314yes—
447#13133182C2314yes—
448#13133182C2314yes—
449#13133182C2314yes—
450#13133182C2312yes—
451#13133182C2314yes—
452#13133182C2312yes—
453C4×D212C2314yes—
454D4×Dic53C2314yes—
455D4×Dic53C2314yes—
456D4×Dic53C2314yes—
457D4×Dic53C2314yes—
458D4×Dic53C2314yes—
459D4×Dic53C2312yes—
460D4×Dic53C2314yes—
461D4×Dic53C2314yes—
462D4×Dic53C2314yes—
463D4×Dic53C2314yes—
464D4×Dic53C2312yes—
465#13133179C2314yes—
466#13133179C2312yes—
467#13133179C2312yes—
468C4×C22⋊D53C2314yes—
469C4×C22⋊D53C2314yes—
470C4×C22⋊D53C2314yes—
471C4×C22⋊D53C2314yes—
472C4×C22⋊D53C2314yes—
473C4×C22⋊D53C2314yes—
474C4×C22⋊D53C2314yes—
475C4×C22⋊D53C2314yes—
476C4×C22⋊D53C2314yes—
477C4×C22⋊D53C2314yes—
478C4×C22⋊D53C2314yes—
479C4×C22⋊D53C2314yes—
480#13133177C2314yes—
481#13133177C2314yes—
482#13133177C2314yes—
483#13133177C2314yes—
484#13133177C2314yes—
485#13133177C2314yes—
486#13133177C2314yes—
487#13133177C2314yes—
488#13133177C2314yes—
489#13133177C2314yes—
490#13133177C2314yes—
491#13133177C2314yes—
492#13133177C2314yes—
493#13133177C2314yes—
494#13133176C2314yes—
495#13133176C2312yes—
496#13133176C2312yes—
497#13133176C2314yes—
498#13133176C2312yes—
499#13133175C2314yes—
500#13133175C2314yes—
501#13133175C2314yes—
502#13133175C2314yes—
503#13133174C2314yes—
504#13133174C2314yes—
505#13133174C2314yes—
506#13133174C2314yes—
507#13133174C2314yes—
508#13133173C2314yes—
509#13133173C2314yes—
510#13133173C2314yes—
511#13133173C2314yes—
512#13133173C2314yes—
513#13133173C2314yes—
514#13133173C2314yes—
515#13133173C2314yes—
516#13133173C2314yes—
517#13133173C2314yes—
518C2×C4⋊Dic53C2312yes—
519C2×C4⋊Dic53C2312yes—
520C2×C4⋊Dic53C2314yes—
521C2×C4⋊Dic53C2314yes—
522C2×C4⋊Dic53C2312yes—
523C2×C4⋊Dic53C2312yes—
524C2×#11719919C2312yes—
525C2×#11719919C2312yes—
526C2×#11719919C2314yes—
527C2×#11719919C2314yes—
528C2×#11719919C2312yes—
529C2×#11719919C2312yes—
530C2×#11719919C2314yes—
531C2×#11719919C2314yes—
532C2×#11719919C2314yes—
533C2×#11719919C2314yes—
534C2×#11719919C2312yes—
535C2×#11719919C2314yes—
536C2×#11719919C2314yes—
537C2×#11719919C2314yes—
538C2×#11719919C2312yes—
539C2×#11719919C2312yes—
540C2×#11719919C2312yes—
541C2×#11719919C2312yes—
542C2×#11719919C2312yes—
543C2×#11719919C2312yes—
544C2×#11719919C2312yes—
545C2×#11719919C2312yes—
546C2×#11719919C2312yes—
547C4⋊C4×D53C2314yes—
548C4⋊C4×D53C2314yes—
549C4⋊C4×D53C2314yes—
550C4⋊C4×D53C2314yes—
551C4⋊C4×D53C2314yes—
552C4⋊C4×D53C2314yes—
553C2×C4×Dic53C2312yes—
554C2×C4×Dic53C2312yes—
555C2×C4×Dic53C2312yes—
556C2×C4×Dic53C2312yes—
557C2×C4×Dic53C2312yes—
558C2×C4×Dic53C2312yes—
559C2×C4×Dic53C2314yes—
560C42×D53C2314yes—
561C2×#41×C53C2312yes—
562C2×#41×C53C2312yes—
563C2×#41×C53C2312yes—
564C23×C4×C53C2311yescharacteristic
565C23×C4×C53C2311yescharacteristic
566C23×C4×C53C2311yescharacteristic
567C4⋊Q8×C53C2314yes—
568#126×C53C2314yes—
569#126×C53C2314yes—
570#125×C53C2314yes—
571#125×C53C2314yes—
572#125×C53C2314yes—
573#123×C53C2314yes—
574#123×C53C2314yes—
575#123×C53C2314yes—
576#123×C53C2314yes—
577#123×C53C2314yes—
578C22⋊Q8×C53C2312yes—
579C22⋊Q8×C53C2312yes—
580C22⋊Q8×C53C2312yes—
581C22⋊Q8×C53C2312yes—
582C22⋊Q8×C53C2312yes—
583C22⋊Q8×C53C2312yes—
584C22⋊Q8×C53C2314yes—
585C22⋊Q8×C53C2314yes—
586C22⋊Q8×C53C2314yes—
587#121×C53C2312yes—
588#121×C53C2312yes—
589#121×C53C2312yes—
590#121×C53C2312yes—
591#121×C53C2312yes—
592#121×C53C2312yes—
593#121×C53C2314yes—
594#120×C53C2314yes—
595C4×Q8×C53C2314yes—
596C4×D4×C53C2314yes—
597C4×D4×C53C2314yes—
598C4×D4×C53C2314yes—
599C4×D4×C53C2314yes—
600C4×D4×C53C2314yes—
601C4×D4×C53C2314yes—
602C4×D4×C53C2314yes—
603#117×C53C2312yes—
604#117×C53C2314yes—
605#117×C53C2312yes—
606#117×C53C2312yes—
607C2×C4⋊C4×C53C2314yes—
608C2×C4⋊C4×C53C2311yescharacteristic
609C2×C4⋊C4×C53C2311yescharacteristic
610C2×C4⋊C4×C53C2311yescharacteristic
611C2×C4⋊C4×C53C2311yescharacteristic
612C2×C4⋊C4×C53C2314yes—
613C2×C4⋊C4×C53C2314yes—
614C24×C53C2411yescharacteristic
615#41×C53—44no—
616#41×C53—44no—
617#41×C53—44no—
618C2×Q8×C53C2412yes—
619C2×Q8×C53C2412yes—
620C2×Q8×C53C2412yes—
621C2×D4×C53C2414yes—
622C2×D4×C53C2414yes—
623C2×D4×C53C2414yes—
624C2×D4×C53C2412yes—
625C2×D4×C53C2412yes—
626C2×D4×C53C2412yes—
627C22×C4×C53—42no—
628C22×C4×C53—42no—
629C22×C4×C53—42no—
630C22×C4×C53C2411yescharacteristic
631C22×C4×C53C2412yes—
632C22×C4×C53C2412yes—
633C22×C4×C53C2411yescharacteristic
634C22×C4×C53C2411yescharacteristic
635C22×C4×C53C2411yescharacteristic
636C22×C4×C53C2412yes—
637C22×C4×C53C2412yes—
638C22×C4×C53C2412yes—
639C22×C4×C53C2412yes—
640C22×C4×C53C2411yescharacteristic
641C22×C4×C53C2411yescharacteristic
642C22×C4×C53C2414yes—
643C22×C4×C53C2414yes—
644C22×C4×C53C2414yes—
645C2×C22⋊D53C2414yes—
646C2×C22⋊D53C2414yes—
647C2×C22⋊D53C2414yes—
648C2×C22⋊D53C2414yes—
649C2×C22⋊D53C2414yes—
650C2×C22⋊D53C2414yes—
651C2×C22⋊D53C2414yes—
652C22×Dic53—24no—
653C22×Dic53—42no—
654C22×Dic53—42no—
655C22×Dic53—42no—
656C22×Dic53C2412yes—
657C22×Dic53C2412yes—
658C22×Dic53C2411yescharacteristic
659C22×Dic53C2412yes—
660C22×Dic53C2414yes—
661C22×Dic53C2412yes—
662C22×Dic53C2412yes—
663C22×Dic53C2411yescharacteristic
664C22×Dic53C2412yes—
665C22×Dic53C2411yescharacteristic
666C22×Dic53C2414yes—
667C22×Dic53C2412yes—
668C22×Dic53C2412yes—
669C22×Dic53C2412yes—
670C22×Dic53C2412yes—
671C22×Dic53C2414yes—
672C22×Dic53C2414yes—
673C22×Dic53C2411yescharacteristic
674#11719947—216no—
675#11719947—48no—
676#11719947—48no—
677#11719947—48no—
678#11719945—44no—
679#11719945—44no—
680#11719945—44no—
681C2×D212C2412yes—
682C2×D212C2412yes—
683C2×D212C2412yes—
684C2×C4×D53C2414yes—
685C2×C4×D53C2414yes—
686C2×C4×D53C2414yes—
687C2×C4×D53C2414yes—
688C2×C4×D53C2414yes—
689C2×C4×D53C2414yes—
690C2×C4×D53C2414yes—
691C2×Dic106C2414yes—
692C2×Dic106C2412yes—
693C2×Dic106C2412yes—
694C2×Dic106C2414yes—
695C2×Dic106C2414yes—
696C2×Dic106C2414yes—
697C2×Dic106C2412yes—
698C4⋊C4×C53C2414yes—
699C4⋊C4×C53C2414yes—
700C4⋊C4×C53C2414yes—
701C4⋊C4×C53C2414yes—
702C4⋊C4×C53C2412yes—
703C4⋊C4×C53C2414yes—
704C4⋊C4×C53C2414yes—
705C4⋊C4×C53C2412yes—
706C4⋊C4×C53C2412yes—
707C4⋊C4×C53C2412yes—
708C4⋊C4×C53C2412yes—
709C4⋊C4×C53C2412yes—
710C4⋊C4×C53C2414yes—
711C4⋊C4×C53C2414yes—
712C4⋊C4×C53C2414yes—
713C4⋊C4×C53C2414yes—
714C22⋊C4×C53C2414yes—
715C22⋊C4×C53C2414yes—
716C22⋊C4×C53C2414yes—
717C22⋊C4×C53C2414yes—
718C22⋊C4×C53C2414yes—
719C22⋊C4×C53C2414yes—
720C22⋊C4×C53C2414yes—
721C22⋊C4×C53C2414yes—
722C22⋊C4×C53C2414yes—
723C42×C53C2414yes—
724C42×C53C2414yes—
725C42×C53C2414yes—
726C22⋊Dic53C2414yes—
727C22⋊Dic53C2414yes—
728C22⋊Dic53C2414yes—
729C22⋊Dic53C2414yes—
730C22⋊Dic53C2414yes—
731C22⋊Dic53C2414yes—
732C22⋊Dic53C2414yes—
733C22⋊Dic53C2414yes—
734C22⋊Dic53C2414yes—
735C22⋊Dic53C2414yes—
736C22⋊Dic53C2414yes—
737#11719921C2414yes—
738#11719921C2414yes—
739#11719921C2414yes—
740#11719921C2414yes—
741#11719921C2414yes—
742#11719921C2414yes—
743#11719921C2414yes—
744#11719921C2414yes—
745#11719921C2414yes—
746#11719921C2414yes—
747#11719921C2414yes—
748#11719921C2414yes—
749#11719921C2414yes—
750#11719921C2414yes—
751C4⋊Dic53C2412yes—
752C4⋊Dic53C2414yes—
753C4⋊Dic53C2414yes—
754C4⋊Dic53C2414yes—
755C4⋊Dic53C2414yes—
756C4⋊Dic53C2414yes—
757C4⋊Dic53C2414yes—
758C4⋊Dic53C2414yes—
759C4⋊Dic53C2414yes—
760C4⋊Dic53C2412yes—
761C4⋊Dic53C2414yes—
762C4⋊Dic53C2412yes—
763C4⋊Dic53C2414yes—
764C4⋊Dic53C2414yes—
765C4⋊Dic53C2412yes—
766C4⋊Dic53C2412yes—
767C4⋊Dic53C2412yes—
768C4⋊Dic53C2414yes—
769#11719919C2414yes—
770#11719919C2414yes—
771#11719919C2414yes—
772#11719919C2414yes—
773#11719919C2414yes—
774#11719919C2414yes—
775#11719919C2414yes—
776#11719919C2414yes—
777#11719919C2414yes—
778#11719919C2414yes—
779#11719919C2414yes—
780#11719919C2414yes—
781#11719919C2414yes—
782#11719919C2414yes—
783#11719919C2414yes—
784#11719919C2414yes—
785#11719919C2414yes—
786#11719919C2414yes—
787#11719919C2414yes—
788#11719919C2414yes—
789#11719919C2414yes—
790#11719919C2414yes—
791#11719919C2414yes—
792#11719919C2414yes—
793#11719919C2414yes—
794#11719919C2414yes—
795#11719919C2414yes—
796#11719919C2414yes—
797#11719919C2414yes—
798#11719919C2414yes—
799#11719919C2414yes—
800#11719919C2414yes—
801#11719919C2414yes—
802#11719919C2414yes—
803#11719919C2414yes—
804#11719919C2414yes—
805#11719919C2414yes—
806#11719919C2414yes—
807C4×Dic53C2412yes—
808C4×Dic53C2414yes—
809C4×Dic53C2414yes—
810C4×Dic53C2412yes—
811C4×Dic53C2412yes—
812C4×Dic53C2412yes—
813C4×Dic53C2412yes—
814C4×Dic53C2412yes—
815C4×Dic53C2412yes—
816C4×Dic53C2412yes—
817C4×Dic53C2414yes—
818C4×Dic53C2414yes—
819C4×Dic53C2414yes—
820C4×Dic53C2414yes—
821C4×Dic53C2414yes—
822C4×Dic53C2414yes—
823C4×Dic53C2414yes—
824C4×Dic53C2414yes—
825C4×Dic53C2414yes—
826C23×C53—22no—
827C23×C53—22no—
828C23×C53—22no—
829C23×C53C2514yes—
830C23×C53C2511yescharacteristic
831C23×C53C2511yescharacteristic
832C23×C53C2511yescharacteristic
833C22×D53C2514yes—
834Q8×C53—42no—
835Q8×C53—42no—
836Q8×C53—42no—
837D4×C53—28no—
838D4×C53—28no—
839D4×C53—28no—
840D4×C53—42no—
841D4×C53—42no—
842D4×C53—42no—
843C2×C4×C53—22no—
844C2×C4×C53—24no—
845C2×C4×C53—24no—
846C2×C4×C53—22no—
847C2×C4×C53—42no—
848C2×C4×C53—42no—
849C2×C4×C53—41no—
850C2×C4×C53—42no—
851C2×C4×C53—41no—
852C2×C4×C53—42no—
853C2×C4×C53—41no—
854C2×C4×C53—41no—
855C2×C4×C53—44no—
856C2×C4×C53—44no—
857C2×C4×C53—44no—
858C2×C4×C53C2514yes—
859C2×C4×C53C2512yes—
860C2×C4×C53C2514yes—
861C2×C4×C53C2514yes—
862C2×C4×C53C2512yes—
863C2×C4×C53C2512yes—
864C2×C4×C53C2512yes—
865C2×C4×C53C2512yes—
866C2×C4×C53C2512yes—
867C22⋊D53—28no—
868C22⋊D53—28no—
869C22⋊D53—28no—
870C22⋊D53—28no—
871C22⋊D53—44no—
872C22⋊D53—44no—
873C22⋊D53—44no—
874C2×Dic53—22no—
875C2×Dic53—24no—
876C2×Dic53—24no—
877C2×Dic53—24no—
878C2×Dic53—28no—
879C2×Dic53—24no—
880C2×Dic53—24no—
881C2×Dic53—44no—
882C2×Dic53—44no—
883C2×Dic53—44no—
884C2×Dic53—41no—
885C2×Dic53—42no—
886C2×Dic53—42no—
887C2×Dic53—42no—
888C2×Dic53—42no—
889C2×Dic53—42no—
890C2×Dic53—41no—
891C2×Dic532−1+414yes—
892C2×Dic53C2514yes—
893C2×Dic53C2514yes—
894C2×Dic53C2512yes—
895C2×Dic53C2514yes—
896C2×Dic53C2514yes—
897C2×Dic53C2514yes—
898C2×Dic53C2512yes—
899C2×Dic53C2512yes—
900C2×Dic53C2512yes—
901D212—42no—
902D212—42no—
903D212—42no—
904C4×D53—28no—
905C4×D53—44no—
906C4×D53—44no—
907C4×D53—44no—
908C4×D53—44no—
909C4×D53—44no—
910C4×D53—44no—
911Dic106—28no—
912Dic106—42no—
913Dic106—42no—
914Dic106—42no—
915Dic106—44no—
916Dic106—44no—
917Dic106—44no—
918#62825—531nomaximal, Sylow
919C22×C53—28no—
920C22×C53—21no—
921C22×C53—21no—
922C22×C53—21no—
923C22×C53—21no—
924C22×C53—21no—
925C22×C53—21no—
926C22×C53—24no—
927C22×C53—24no—
928C22×C53—24no—
929C22×C53C2×2−1+412yes—
930C22×C53#58512yes—
931C22×C53#58512yes—
932C22×C53C2611yescharacteristic
933C2×D53—24no—
934C2×D53—24no—
935C2×D53—24no—
936C4×C53—24no—
937C4×C53—24no—
938C4×C53—22no—
939C4×C53—24no—
940C4×C53—22no—
941C4×C53—22no—
942C4×C53—22no—
943C4×C53—22no—
944C4×C53—22no—
945Dic53—24no—
946Dic53—22no—
947Dic53—24no—
948Dic53—24no—
949Dic53—22no—
950Dic53—24no—
951Dic53—24no—
952Dic53—22no—
953Dic53C2×2−1+414yes—
954#3563—534no—
955#3563—532no—
956#3563—532no—
957#3559—534no—
958#3559—532no—
959#3559—532no—
960#3553—534no—
961#3553—534no—
962#3515—534no—
963#3515—534no—
964#3515—534no—
965#3515—534no—
966#3512—534no—
967#3504—534no—
968#3492—532no—
969#3492—532no—
970#3492—532no—
971#3492—532no—
972#3492—532no—
973#3492—531no—
974#3492D5311yescharacteristic, complemented
975#3444—532no—
976C22×#125—531no—
977C2×C53—22no—
978C2×C53—22no—
979C2×C53—22no—
980C2×C53—44no—
981C2×C53C22×2−1+411yescharacteristic
982C2×C53C2×#58511yescharacteristic
983C2×C53C2×#58511yescharacteristic
984D53—44no—
985#564—534no—
986#564—534no—
987#563—534no—
988#563—534no—
989#563—534no—
990#563—534no—
991#562—534no—
992#562—534no—
993#557—534no—
994#557—534no—
995#557—534no—
996#557—534no—
997#554—534no—
998#554—534no—
999#554—534no—
1000#554—534no—
1001#554—534no—
1002#554—534no—
1003#554—534no—
1004#554—534no—
1005#554—534no—
1006#554—534no—
1007#554—534no—
1008#554—534no—
1009#554—534no—
1010#554—534no—
1011#554—534no—
1012#554C2×D5314yes—
1013#553—534no—
1014#553—534no—
1015#553—534no—
1016#553—534no—
1017#553—534no—
1018#553—534no—
1019#553—534no—
1020#553—534no—
1021#553—534no—
1022#553—534no—
1023#553—534no—
1024#553—534no—
1025#553—534no—
1026#553—534no—
1027#553—534no—
1028#553C2×D5314yes—
1029#552—534no—
1030#552—534no—
1031#552—534no—
1032#552—534no—
1033#552—534no—
1034#552—534no—
1035#552—534no—
1036#552—534no—
1037#552—534no—
1038#552—534no—
1039#552—534no—
1040#552—534no—
1041#552—534no—
1042#552—534no—
1043#552—534no—
1044#552—534no—
1045#552—534no—
1046#552—534no—
1047#552—534no—
1048#552—534no—
1049#552—534no—
1050#552—534no—
1051#552—534no—
1052#552C2×D5314yes—
1053#547—534no—
1054#547—534no—
1055#547—534no—
1056#547—534no—
1057#547—534no—
1058#547—534no—
1059#547—534no—
1060#547—534no—
1061#547—534no—
1062#547—534no—
1063#547—534no—
1064#547C2×D5314yes—
1065#544—534no—
1066#544—534no—
1067#544—532no—
1068#544—532no—
1069#544—532no—
1070#544—532no—
1071#544—534no—
1072#544—534no—
1073#544—532no—
1074#544—531no—
1075#544C2×D5311yescharacteristic
1076#541—534no—
1077#541—534no—
1078#541—534no—
1079#541—534no—
1080#541—534no—
1081#541—534no—
1082#541—534no—
1083#541—534no—
1084#541—534no—
1085#541—534no—
1086#540—534no—
1087#540—534no—
1088#539—534no—
1089#539—534no—
1090#539—534no—
1091#539—534no—
1092#539—534no—
1093#539—532no—
1094#539—532no—
1095#539—532no—
1096#539—532no—
1097#539—534no—
1098#539—534no—
1099#539—532no—
1100#539—532no—
1101#539—532no—
1102#539—532no—
1103#539—534no—
1104#539—534no—
1105#539—534no—
1106#539—534no—
1107#539—534no—
1108#539—534no—
1109#539—532no—
1110#539—532no—
1111#539—534no—
1112#539C2×D5312yes—
1113#539C2×D5312yes—
1114#537—532no—
1115#537—532no—
1116#537—532no—
1117#537—532no—
1118#537—532no—
1119#537—531no—
1120#537C2×D5311yescharacteristic
1121#533—532no—
1122#533—532no—
1123#533—534no—
1124#533—534no—
1125#533—532no—
1126#532—532no—
1127#532—532no—
1128#532—532no—
1129#529—534no—
1130#529—534no—
1131#529—534no—
1132#529—534no—
1133#529—532no—
1134#529—532no—
1135#529—532no—
1136#529—532no—
1137#529—534no—
1138#529—534no—
1139#529—534no—
1140#529—534no—
1141C2×#125—534no—
1142C2×#125—534no—
1143C2×#125—534no—
1144C2×#125—532no—
1145C2×#125—532no—
1146C2×#125—534no—
1147C2×#125—534no—
1148C2×#125—532no—
1149C2×#125—532no—
1150C2×#125—534no—
1151#525—532no—
1152#525—532no—
1153#525—532no—
1154#525—534no—
1155#525—534no—
1156#525—534no—
1157#525—534no—
1158#525C2×D5312yes—
1159#525C2×D5312yes—
1160#525C2×D5312yes—
1161#520—532no—
1162#520—534no—
1163#520—534no—
1164#520—534no—
1165#520—534no—
1166#520—532no—
1167#520—532no—
1168#520C2×D5312yes—
1169C4×#41—532no—
1170C4×#41—534no—
1171C4×#41—534no—
1172C4×#41—532no—
1173C22×C4⋊C4—531no—
1174C22×C4⋊C4—531no—
1175C22×C4⋊C4—531no—
1176C22×C4⋊C4—531no—
1177C22×C4⋊C4—531no—
1178C22×C4⋊C4C2×D5311yescharacteristic
1179C22×C42—531no—
1180C53#6282511yescharacteristic, complemented, Sylow
1181C2×#41—534no—
1182C2×#41—534no—
1183C2×#41—534no—
1184C2×#41—534no—
1185C2×#41—532no—
1186C2×#41—532no—
1187C2×#41—532no—
1188C2×#41C22×D5312yes—
1189C2×#41C22×D5312yes—
1190C2×#41C22×D5312yes—
1191C23×C4—531no—
1192C23×C4—531no—
1193C23×C4—531no—
1194C23×C4—531no—
1195C23×C4C22×D5311yescharacteristic
1196C23×C4C22×D5311yescharacteristic
1197C23×C4C22×D5311yescharacteristic
1198C4⋊Q8—532no—
1199C4⋊Q8—534no—
1200C4⋊Q8—534no—
1201C4⋊Q8—534no—
1202C4⋊Q8—534no—
1203C4⋊Q8—532no—
1204C4⋊Q8—532no—
1205C4⋊Q8—534no—
1206C4⋊Q8—534no—
1207C4⋊Q8—534no—
1208C4⋊Q8—534no—
1209C4⋊Q8—534no—
1210C4⋊Q8—534no—
1211C4⋊Q8—534no—
1212C4⋊Q8C22×D5314yes—
1213#127—532no—
1214#126—534no—
1215#126—534no—
1216#126—534no—
1217#126—534no—
1218#126—534no—
1219#126—534no—
1220#126—534no—
1221#126—534no—
1222#126—534no—
1223#126—534no—
1224#126—534no—
1225#126—534no—
1226#126—534no—
1227#126—534no—
1228#126—534no—
1229#126—534no—
1230#126—534no—
1231#126—534no—
1232#126—534no—
1233#126—534no—
1234#126—534no—
1235#126—534no—
1236#126—534no—
1237#126—534no—
1238#126—534no—
1239#126—534no—
1240#126C22×D5314yes—
1241#126C22×D5314yes—
1242#125—534no—
1243#125—534no—
1244#125—534no—
1245#125—534no—
1246#125—534no—
1247#125—534no—
1248#125—534no—
1249#125—534no—
1250#125—534no—
1251#125—534no—
1252#125—534no—
1253#125—534no—
1254#125—534no—
1255#125—534no—
1256#125—534no—
1257#125—534no—
1258#125—534no—
1259#125—534no—
1260#125—534no—
1261#125—534no—
1262#125—534no—
1263#125—534no—
1264#125—534no—
1265#125—534no—
1266#125—534no—
1267#125—534no—
1268#125—534no—
1269#125—534no—
1270#125—532no—
1271#125—532no—
1272#125—534no—
1273#125—534no—
1274#125—534no—
1275#125—534no—
1276#125—534no—
1277#125—534no—
1278#125—534no—
1279#125—534no—
1280#125—534no—
1281#125—534no—
1282#125—534no—
1283#125—534no—
1284#125—534no—
1285#125—534no—
1286#125—534no—
1287#125—534no—
1288#125—534no—
1289#125—534no—
1290#125—534no—
1291#125—534no—
1292#125—534no—
1293#125—534no—
1294#125—534no—
1295#125C22×D5314yes—
1296#125C22×D5314yes—
1297#125C22×D5314yes—
1298#124—532no—
1299#124—532no—
1300#124—534no—
1301#124—534no—
1302#123—534no—
1303#123—534no—
1304#123—534no—
1305#123—534no—
1306#123—534no—
1307#123—534no—
1308#123—534no—
1309#123—534no—
1310#123—534no—
1311#123—534no—
1312#123—534no—
1313#123—534no—
1314#123—534no—
1315#123—534no—
1316#123—534no—
1317#123—534no—
1318#123—534no—
1319#123—534no—
1320#123—534no—
1321#123—534no—
1322#123—534no—
1323#123—534no—
1324#123—534no—
1325#123—534no—
1326#123—534no—
1327#123—534no—
1328#123—534no—
1329#123—534no—
1330#123—534no—
1331#123—534no—
1332#123—534no—
1333#123—534no—
1334#123—534no—
1335#123C22×D5314yes—
1336#123C22×D5314yes—
1337#123C22×D5314yes—
1338#123C22×D5314yes—
1339#123C22×D5314yes—
1340C22⋊Q8—534no—
1341C22⋊Q8—534no—
1342C22⋊Q8—534no—
1343C22⋊Q8—534no—
1344C22⋊Q8—534no—
1345C22⋊Q8—532no—
1346C22⋊Q8—532no—
1347C22⋊Q8—532no—
1348C22⋊Q8—532no—
1349C22⋊Q8—532no—
1350C22⋊Q8—532no—
1351C22⋊Q8—534no—
1352C22⋊Q8—534no—
1353C22⋊Q8—534no—
1354C22⋊Q8—534no—
1355C22⋊Q8—534no—
1356C22⋊Q8—534no—
1357C22⋊Q8—534no—
1358C22⋊Q8—534no—
1359C22⋊Q8—534no—
1360C22⋊Q8—534no—
1361C22⋊Q8—534no—
1362C22⋊Q8—534no—
1363C22⋊Q8—534no—
1364C22⋊Q8—534no—
1365C22⋊Q8—534no—
1366C22⋊Q8—534no—
1367C22⋊Q8—534no—
1368C22⋊Q8—534no—
1369C22⋊Q8—534no—
1370C22⋊Q8—534no—
1371C22⋊Q8—534no—
1372C22⋊Q8—534no—
1373C22⋊Q8—534no—
1374C22⋊Q8—534no—
1375C22⋊Q8—534no—
1376C22⋊Q8—534no—
1377C22⋊Q8—534no—
1378C22⋊Q8—534no—
1379C22⋊Q8—534no—
1380C22⋊Q8—534no—
1381C22⋊Q8—534no—
1382C22⋊Q8—534no—
1383C22⋊Q8—534no—
1384C22⋊Q8—534no—
1385C22⋊Q8—534no—
1386C22⋊Q8—534no—
1387C22⋊Q8C22×D5312yes—
1388C22⋊Q8C22×D5312yes—
1389C22⋊Q8C22×D5312yes—
1390C22⋊Q8C22×D5312yes—
1391C22⋊Q8C22×D5312yes—
1392C22⋊Q8C22×D5312yes—
1393C22⋊Q8C22×D5314yes—
1394C22⋊Q8C22×D5314yes—
1395C22⋊Q8C22×D5314yes—
1396#121—534no—
1397#121—534no—
1398#121—534no—
1399#121—534no—
1400#121—534no—
1401#121—534no—
1402#121—534no—
1403#121—534no—
1404#121—534no—
1405#121—534no—
1406#121—534no—
1407#121—534no—
1408#121—534no—
1409#121—532no—
1410#121—532no—
1411#121—532no—
1412#121—532no—
1413#121—532no—
1414#121—532no—
1415#121—534no—
1416#121—534no—
1417#121—534no—
1418#121—534no—
1419#121—534no—
1420#121—534no—
1421#121C22×D5312yes—
1422#121C22×D5312yes—
1423#121C22×D5312yes—
1424#121C22×D5312yes—
1425#121C22×D5312yes—
1426#121C22×D5312yes—
1427#121C22×D5314yes—
1428#120—534no—
1429#120C22×D5314yes—
1430C4×Q8—532no—
1431C4×Q8—532no—
1432C4×Q8—534no—
1433C4×Q8—532no—
1434C4×Q8—534no—
1435C4×Q8—532no—
1436C4×Q8—534no—
1437C4×Q8—534no—
1438C4×Q8—534no—
1439C4×Q8—534no—
1440C4×Q8—534no—
1441C4×Q8—534no—
1442C4×Q8—534no—
1443C4×Q8—534no—
1444C4×Q8—534no—
1445C4×Q8—534no—
1446C4×Q8—534no—
1447C4×Q8—534no—
1448C4×Q8—534no—
1449C4×Q8C22×D5314yes—
1450C4×D4—534no—
1451C4×D4—534no—
1452C4×D4—534no—
1453C4×D4—534no—
1454C4×D4—532no—
1455C4×D4—532no—
1456C4×D4—534no—
1457C4×D4—534no—
1458C4×D4—534no—
1459C4×D4—534no—
1460C4×D4—534no—
1461C4×D4—534no—
1462C4×D4—534no—
1463C4×D4—534no—
1464C4×D4—534no—
1465C4×D4—534no—
1466C4×D4—534no—
1467C4×D4—534no—
1468C4×D4—534no—
1469C4×D4—534no—
1470C4×D4—534no—
1471C4×D4—534no—
1472C4×D4—534no—
1473C4×D4—532no—
1474C4×D4—532no—
1475C4×D4—534no—
1476C4×D4—534no—
1477C4×D4—534no—
1478C4×D4—534no—
1479C4×D4—534no—
1480C4×D4—534no—
1481C4×D4—534no—
1482C4×D4—534no—
1483C4×D4—534no—
1484C4×D4—534no—
1485C4×D4—534no—
1486C4×D4—534no—
1487C4×D4—534no—
1488C4×D4—534no—
1489C4×D4—534no—
1490C4×D4—534no—
1491C4×D4C22×D5314yes—
1492C4×D4C22×D5314yes—
1493C4×D4C22×D5314yes—
1494C4×D4C22×D5314yes—
1495C4×D4C22×D5314yes—
1496C4×D4C22×D5314yes—
1497C4×D4C22×D5314yes—
1498#117—532no—
1499#117—534no—
1500#117—532no—
1501#117—532no—
1502#117—534no—
1503#117—534no—
1504#117—534no—
1505#117—534no—
1506#117—534no—
1507#117—534no—
1508#117—534no—
1509#117—534no—
1510#117—534no—
1511#117—534no—
1512#117—534no—
1513#117—534no—
1514#117—534no—
1515#117—534no—
1516#117—534no—
1517#117—534no—
1518#117—534no—
1519#117—534no—
1520#117—534no—
1521#117—534no—
1522#117C22×D5312yes—
1523#117C22×D5312yes—
1524#117C22×D5312yes—
1525#117C22×D5314yes—
1526C2×C4⋊C4—532no—
1527C2×C4⋊C4—532no—
1528C2×C4⋊C4—532no—
1529C2×C4⋊C4—532no—
1530C2×C4⋊C4—532no—
1531C2×C4⋊C4—532no—
1532C2×C4⋊C4—532no—
1533C2×C4⋊C4—532no—
1534C2×C4⋊C4—532no—
1535C2×C4⋊C4—532no—
1536C2×C4⋊C4—532no—
1537C2×C4⋊C4—534no—
1538C2×C4⋊C4—532no—
1539C2×C4⋊C4—532no—
1540C2×C4⋊C4—532no—
1541C2×C4⋊C4—534no—
1542C2×C4⋊C4—532no—
1543C2×C4⋊C4—532no—
1544C2×C4⋊C4—532no—
1545C2×C4⋊C4—534no—
1546C2×C4⋊C4—532no—
1547C2×C4⋊C4—534no—
1548C2×C4⋊C4—534no—
1549C2×C4⋊C4—534no—
1550C2×C4⋊C4—534no—
1551C2×C4⋊C4—534no—
1552C2×C4⋊C4—534no—
1553C2×C4⋊C4—534no—
1554C2×C4⋊C4—534no—
1555C2×C4⋊C4—534no—
1556C2×C4⋊C4—534no—
1557C2×C4⋊C4—534no—
1558C2×C4⋊C4—534no—
1559C2×C4⋊C4—534no—
1560C2×C4⋊C4—534no—
1561C2×C4⋊C4C22×D5311yescharacteristic
1562C2×C4⋊C4C22×D5311yescharacteristic
1563C2×C4⋊C4C22×D5311yescharacteristic
1564C2×C4⋊C4C22×D5311yescharacteristic
1565C2×C4⋊C4C22×D5314yes—
1566C2×C4⋊C4C22×D5314yes—
1567C2×C4⋊C4C22×D5314yes—
1568C2×C42—534no—
1569C2×C42—532no—
1570C2×C42—532no—
1571C2×C42—532no—
1572C2×C42—532no—
1573C2×C42—532no—
1574C2×C42—532no—
1575C2×C42—534no—
1576C24C23×D5311yescharacteristic
1577#41—44no—
1578#41—44no—
1579#41—44no—
1580#41—10616no—
1581#41—2124no—
1582#41—2124no—
1583#41—2124no—
1584#41—2128no—
1585#41—2128no—
1586#41—2128no—
1587C2×Q8—534no—
1588C2×Q8—532no—
1589C2×Q8—532no—
1590C2×Q8—534no—
1591C2×Q8—534no—
1592C2×Q8—532no—
1593C2×Q8—534no—
1594C2×Q8C23×D5312yes—
1595C2×Q8C23×D5312yes—
1596C2×Q8C23×D5312yes—
1597C2×D4—534no—
1598C2×D4—534no—
1599C2×D4—534no—
1600C2×D4—534no—
1601C2×D4—534no—
1602C2×D4—534no—
1603C2×D4—534no—
1604C2×D4—532no—
1605C2×D4—532no—
1606C2×D4—532no—
1607C2×D4C23×D5314yes—
1608C2×D4C23×D5314yes—
1609C2×D4C23×D5314yes—
1610C2×D4C23×D5312yes—
1611C2×D4C23×D5312yes—
1612C2×D4C23×D5312yes—
1613C22×C4—42no—
1614C22×C4—42no—
1615C22×C4—42no—
1616C22×C4—531no—
1617C22×C4—532no—
1618C22×C4—532no—
1619C22×C4—532no—
1620C22×C4—531no—
1621C22×C4—534no—
1622C22×C4—532no—
1623C22×C4—532no—
1624C22×C4—531no—
1625C22×C4—532no—
1626C22×C4—531no—
1627C22×C4—534no—
1628C22×C4—532no—
1629C22×C4—532no—
1630C22×C4—532no—
1631C22×C4—532no—
1632C22×C4—534no—
1633C22×C4—534no—
1634C22×C4—534no—
1635C22×C4—534no—
1636C22×C4—534no—
1637C22×C4—534no—
1638C22×C4—534no—
1639C22×C4—534no—
1640C22×C4—534no—
1641C22×C4—1064no—
1642C22×C4—2122no—
1643C22×C4—2122no—
1644C22×C4—2122no—
1645C22×C4C23×D5312yes—
1646C22×C4C23×D5311yescharacteristic
1647C22×C4C23×D5312yes—
1648C22×C4C23×D5311yescharacteristic
1649C22×C4C23×D5311yescharacteristic
1650C22×C4C23×D5312yes—
1651C22×C4C23×D5311yescharacteristic
1652C22×C4C23×D5314yes—
1653C22×C4C23×D5311yescharacteristic
1654C22×C4C23×D5312yes—
1655C22×C4C23×D5312yes—
1656C22×C4C23×D5312yes—
1657C22×C4C23×D5311yescharacteristic
1658C22×C4C23×D5314yes—
1659C22×C4C23×D5314yes—
1660C4⋊C4—534no—
1661C4⋊C4—534no—
1662C4⋊C4—534no—
1663C4⋊C4—534no—
1664C4⋊C4—534no—
1665C4⋊C4—534no—
1666C4⋊C4—534no—
1667C4⋊C4—534no—
1668C4⋊C4—534no—
1669C4⋊C4—534no—
1670C4⋊C4—534no—
1671C4⋊C4—534no—
1672C4⋊C4—534no—
1673C4⋊C4—534no—
1674C4⋊C4—534no—
1675C4⋊C4—534no—
1676C4⋊C4—534no—
1677C4⋊C4—534no—
1678C4⋊C4—534no—
1679C4⋊C4—534no—
1680C4⋊C4—534no—
1681C4⋊C4—534no—
1682C4⋊C4—534no—
1683C4⋊C4—534no—
1684C4⋊C4—534no—
1685C4⋊C4—534no—
1686C4⋊C4—534no—
1687C4⋊C4—532no—
1688C4⋊C4—532no—
1689C4⋊C4—534no—
1690C4⋊C4—534no—
1691C4⋊C4—534no—
1692C4⋊C4—534no—
1693C4⋊C4—534no—
1694C4⋊C4—534no—
1695C4⋊C4—534no—
1696C4⋊C4—534no—
1697C4⋊C4—534no—
1698C4⋊C4—534no—
1699C4⋊C4—534no—
1700C4⋊C4—534no—
1701C4⋊C4—534no—
1702C4⋊C4—534no—
1703C4⋊C4—532no—
1704C4⋊C4—532no—
1705C4⋊C4—534no—
1706C4⋊C4—532no—
1707C4⋊C4—534no—
1708C4⋊C4—532no—
1709C4⋊C4—534no—
1710C4⋊C4—534no—
1711C4⋊C4—534no—
1712C4⋊C4—534no—
1713C4⋊C4—534no—
1714C4⋊C4—534no—
1715C4⋊C4—534no—
1716C4⋊C4C23×D5312yes—
1717C4⋊C4C23×D5314yes—
1718C4⋊C4C23×D5314yes—
1719C4⋊C4C23×D5314yes—
1720C4⋊C4C23×D5314yes—
1721C4⋊C4C23×D5314yes—
1722C4⋊C4C23×D5314yes—
1723C4⋊C4C23×D5314yes—
1724C4⋊C4C23×D5314yes—
1725C4⋊C4C23×D5312yes—
1726C4⋊C4C23×D5314yes—
1727C4⋊C4C23×D5312yes—
1728C4⋊C4C23×D5314yes—
1729C4⋊C4C23×D5312yes—
1730C4⋊C4C23×D5312yes—
1731C4⋊C4C23×D5312yes—
1732C22⋊C4—534no—
1733C22⋊C4—534no—
1734C22⋊C4—534no—
1735C22⋊C4—534no—
1736C22⋊C4—534no—
1737C22⋊C4—534no—
1738C22⋊C4—534no—
1739C22⋊C4—534no—
1740C22⋊C4—534no—
1741C22⋊C4—534no—
1742C22⋊C4—534no—
1743C22⋊C4—534no—
1744C22⋊C4—534no—
1745C22⋊C4—534no—
1746C22⋊C4—534no—
1747C22⋊C4—534no—
1748C22⋊C4—534no—
1749C22⋊C4—534no—
1750C22⋊C4—534no—
1751C22⋊C4—534no—
1752C22⋊C4—534no—
1753C22⋊C4—534no—
1754C22⋊C4—534no—
1755C22⋊C4—534no—
1756C22⋊C4—534no—
1757C22⋊C4C23×D5314yes—
1758C22⋊C4C23×D5314yes—
1759C22⋊C4C23×D5314yes—
1760C22⋊C4C23×D5314yes—
1761C22⋊C4C23×D5314yes—
1762C22⋊C4C23×D5314yes—
1763C22⋊C4C23×D5314yes—
1764C22⋊C4C23×D5314yes—
1765C22⋊C4C23×D5314yes—
1766C42—532no—
1767C42—532no—
1768C42—532no—
1769C42—532no—
1770C42—532no—
1771C42—532no—
1772C42—532no—
1773C42—532no—
1774C42—534no—
1775C42—534no—
1776C42—534no—
1777C42—534no—
1778C42—534no—
1779C42—534no—
1780C42—534no—
1781C42—534no—
1782C42—534no—
1783C42—534no—
1784C42—534no—
1785C42C23×D5314yes—
1786C42C23×D5314yes—
1787C42C23×D5314yes—
1788C23—22no—
1789C23—22no—
1790C23—22no—
1791C23—534no—
1792C23C24×D5314yes—
1793C23C24×D5311yescharacteristic
1794C23C24×D5311yescharacteristic
1795C23C24×D5311yescharacteristic
1796Q8—42no—
1797Q8—42no—
1798Q8—42no—
1799Q8—1068no—
1800Q8—2122no—
1801Q8—2122no—
1802Q8—2124no—
1803Q8—2122no—
1804Q8—2124no—
1805Q8—2124no—
1806D4—28no—
1807D4—28no—
1808D4—28no—
1809D4—42no—
1810D4—42no—
1811D4—42no—
1812D4—1068no—
1813D4—1068no—
1814D4—1068no—
1815D4—1068no—
1816D4—2122no—
1817D4—2122no—
1818D4—2122no—
1819D4—2124no—
1820D4—2124no—
1821D4—2124no—
1822C2×C4—24no—
1823C2×C4—24no—
1824C2×C4—22no—
1825C2×C4—22no—
1826C2×C4—41no—
1827C2×C4—42no—
1828C2×C4—41no—
1829C2×C4—42no—
1830C2×C4—41no—
1831C2×C4—41no—
1832C2×C4—42no—
1833C2×C4—42no—
1834C2×C4—44no—
1835C2×C4—44no—
1836C2×C4—44no—
1837C2×C4—534no—
1838C2×C4—532no—
1839C2×C4—532no—
1840C2×C4—534no—
1841C2×C4—532no—
1842C2×C4—534no—
1843C2×C4—534no—
1844C2×C4—532no—
1845C2×C4—534no—
1846C2×C4—534no—
1847C2×C4—1068no—
1848C2×C4—1064no—
1849C2×C4—1064no—
1850C2×C4—1068no—
1851C2×C4—1062no—
1852C2×C4—1064no—
1853C2×C4—1064no—
1854C2×C4—1064no—
1855C2×C4—2124no—
1856C2×C4—2124no—
1857C2×C4—2124no—
1858C2×C4—2124no—
1859C2×C4—2124no—
1860C2×C4—2124no—
1861C2×C4—2122no—
1862C2×C4—2122no—
1863C2×C4—2121no—
1864C2×C4—2122no—
1865C2×C4—2122no—
1866C2×C4—2122no—
1867C2×C4—2121no—
1868C2×C4—2124no—
1869C2×C4—2124no—
1870C2×C4—2124no—
1871C2×C4C24×D5312yes—
1872C2×C4C24×D5312yes—
1873C2×C4C24×D5314yes—
1874C2×C4C24×D5314yes—
1875C2×C4C24×D5314yes—
1876C2×C4C24×D5312yes—
1877C2×C4C24×D5312yes—
1878C2×C4C24×D5312yes—
1879C2×C4C24×D5312yes—
1880C22—28no—
1881C22—21no—
1882C22—21no—
1883C22—21no—
1884C22—21no—
1885C22—21no—
1886C22—21no—
1887C22—24no—
1888C22—24no—
1889C22—24no—
1890C22—1064no—
1891C22—1064no—
1892C22—1064no—
1893C222−1+4×D5312yes—
1894C22#1681145812yes—
1895C22#1681145912yes—
1896C22C25×D5311yescharacteristic
1897C4—24no—
1898C4—22no—
1899C4—22no—
1900C4—22no—
1901C4—22no—
1902C4—24no—
1903C4—22no—
1904C4—22no—
1905C4—24no—
1906C4—534no—
1907C4—1062no—
1908C4—1064no—
1909C4—1064no—
1910C4—1064no—
1911C4—1062no—
1912C4—1064no—
1913C4—1062no—
1914C4—1064no—
1915C2—22no—
1916C2—22no—
1917C2—22no—
1918C2—44no—
1919C2—2124no—
1920C2C2×2−1+4×D5311yescharacteristic
1921C2C2×#1681145811yescharacteristic
1922C2C2×#1681145911yescharacteristic
subgroupG/H
center, FrattiniC22C25×D53
commutator, socle, cosocleC22×C53C26
FittingC53×#3492C2
hypercenter#3492D53
hypocenterC53#62825
LCSG ▷ C22×C53 ▷ C53
UCSC1 ◁ C22 ◁ #3492

Complements

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

NH ≅ G/Ntype
1. #20289323C2semidirect
2. #20289314C2semidirect
3. #20289312C2semidirect
4. #20289251C2semidirect
5. #20289242C2semidirect
6. #20289240C2semidirect
7. #20289167C2semidirect
8. #20289163C2semidirect
9. #20288685C2semidirect
10. #20288683C2semidirect
11. #20288682C2semidirect
12. #20288680C2semidirect
13. #20288631C2semidirect
14. #20288535C2semidirect
15. #20288424C2semidirect
16. #20288421C2semidirect
17. #20288416C2semidirect
18. #20288416C2semidirect
19. #20288416C2semidirect
20. #20288416C2semidirect
21. #20288007C2semidirect
22. C22×#13133207C2semidirect
23. C53×#3492C2semidirect
24. C53⋊#564C22semidirect
25. C53⋊#564C22semidirect
26. #16811376C22semidirect
27. #16811375C22semidirect
28. #16811374C22semidirect
29. #16811372C22semidirect
30. #16811369C22semidirect
31. #16811368C22semidirect
32. #16811351C22semidirect
33. #16811350C22semidirect
34. #16811350C22semidirect
35. #16811348C22semidirect
41. #16811331C22semidirect
44. #16811328C22semidirect
49. #16811327C22semidirect
50. #16811327C22semidirect
52. #16811324C22semidirect
57. #16811322C22semidirect
60. #16811318C22semidirect
65. #16811316C22semidirect
67. #16811314C22semidirect
69. #16811313C22semidirect
74. #16811310C22semidirect
75. #16811310C22semidirect
76. #16811309C22semidirect
77. #16811309C22semidirect
79. #16811308C22semidirect
80. #16811307C22semidirect
85. #16811306C22semidirect
86. #16811306C22semidirect
87. #16811305C22semidirect
88. #16811305C22semidirect
101. #16811253C22semidirect
106. #16811252C22semidirect
107. #16811252C22semidirect
109. #16811250C22semidirect
110. #16811235C22semidirect
111. #16811234C22semidirect
112. #16811233C22semidirect
113. #16811232C22semidirect
114. #16811232C22semidirect
115. #16811232C22semidirect
116. #16811231C22semidirect
117. #16811230C22semidirect
118. #16811230C22semidirect
119. #16811230C22semidirect
120. #16811225C22semidirect
121. #16811223C22semidirect
126. #16811221C22semidirect
129. #16811220C22semidirect
130. #16811219C22semidirect
131. #16811219C22semidirect
136. #16811218C22semidirect
139. #16811217C22semidirect
140. #16811216C22semidirect
145. #16811215C22semidirect
152. #16811177C22semidirect
156. #16811175C22semidirect
162. #16811156C22semidirect
167. #16811153C22semidirect
168. #16811151C22semidirect
171. #16811150C22semidirect
180. C2×#13133207C22semidirect
181. #125×D53C22semidirect
974. #3492D53semidirect
1180. C53#62825semidirect

Maximal subgroups

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

subgroupindex
#202893232
#202893142
#202893122
#202892512
#202892422
#202892402
#202891672
#202891632
#202886852
#202886832
#202886822
#202886802
#202886312
#202885352
#202884242
#202884212
#202884162
#202880072
C22×#131332072
C53×#34922
#6282553