Finite Group Databasebeta

← #36312192

Subgroups — #36312192

Order 21248.

6644 conjugacy classes of subgroups.

The subgroup lattice has 1808 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#24922144C214yesmaximal, complemented
2#24922128C214yesmaximal, complemented
3#24922078C214yesmaximal, complemented
4#24922006C214yesmaximal, complemented
5#24921920C212yesmaximal, complemented
6#24921914C212yesmaximal, complemented
7#24921821C212yesmaximal, complemented
8#24921813C212yesmaximal, complemented
9#24921674C214yesmaximal, complemented
10#24921655C214yesmaximal, complemented
11#24921610C211yesmaximal, characteristic, complemented
12#24921602C212yesmaximal, complemented
13#24921069C214yesmaximal, complemented
14#24921030C214yesmaximal, complemented
15#24921019C214yesmaximal, complemented
16#24920894C214yesmaximal, complemented
17#24920873C214yesmaximal, complemented
18#24920846C214yesmaximal, complemented
19#24920760C211yesmaximal, characteristic, complemented
20#529×D83C212yesmaximal, complemented
21C83×#3531C211yesmaximal, characteristic, complemented
22C83⋊#564C2211yescharacteristic, complemented
23#19128455C2212yescomplemented
24#19128455C2212yescomplemented
25#19128453C2214yescomplemented
26#19128452C2214yescomplemented
27#19128450C2214yescomplemented
28#19128449C2212yescomplemented
29#19128449C2211yescharacteristic, complemented
30#19128448C2214yescomplemented
31#19128447C2214yescomplemented
32#19128447C2214yescomplemented
33#19128445C2212yescomplemented
34#19128443C2212yescomplemented
35#19128442C2214yescomplemented
36#19128441C2214yescomplemented
37#19128439C2214yescomplemented
38#19128433C2214yescomplemented
39#19128425C2214yescomplemented
40#19128420C2214yescomplemented
41#19128417C2214yescomplemented
42#19128415C2214yescomplemented
43#19128412C2214yescomplemented
44#19128409C2214yescomplemented
45#19128407C2214yescomplemented
46#19128407C2214yescomplemented
47#19128404C2214yescomplemented
48#19128404C2214yescomplemented
49#19128404C2214yescomplemented
50#19128403C2214yescomplemented
51#19128402C2214yescomplemented
52#19128402C2214yescomplemented
53#19128396C2214yescomplemented
54#19128396C2214yescomplemented
55#19128393C2214yescomplemented
56#19128393C2214yescomplemented
57#19128389C2214yescomplemented
58#19128389C2214yescomplemented
59#19128389C2214yescomplemented
60#19128387C2214yescomplemented
61#19128387C2214yescomplemented
62#19128385C2214yescomplemented
63#19128379C2214yescomplemented
64#19128379C2214yescomplemented
65#19128378C2214yescomplemented
66#19128378C2214yescomplemented
67#19128378C2214yescomplemented
68#19128378C2214yescomplemented
69#19128376C2214yescomplemented
70#19128376C2214yescomplemented
71#19128376C2214yescomplemented
72#19128376C2214yescomplemented
73#19128374C2214yescomplemented
74#19128374C2214yescomplemented
75#19128354C2214yescomplemented
76#19128353C2214yescomplemented
77#19128348C2214yescomplemented
78#19128344C2214yescomplemented
79#19128344C2214yescomplemented
80#19128343C2214yescomplemented
81#19128343C2214yescomplemented
82#19128342C2214yescomplemented
83#19128342C2214yescomplemented
84#19128342C2214yescomplemented
85#19128335C2214yescomplemented
86#19128328C2214yescomplemented
87#19128326C2214yescomplemented
88#19128325C2214yescomplemented
89#19128324C2214yescomplemented
90#19128321C2214yescomplemented
91#19128321C2214yescomplemented
92#19128321C2214yescomplemented
93#19128319C2214yescomplemented
94#19128317C2214yescomplemented
95#19128315C2214yescomplemented
96#19128312C2214yescomplemented
97#19128311C2214yescomplemented
98#19128310C2214yescomplemented
99#19128310C2214yescomplemented
100#19128310C2214yescomplemented
101#19128308C2214yescomplemented
102#19128303C2214yescomplemented
103#19128301C2214yescomplemented
104#19128299C2214yescomplemented
105#19128299C2214yescomplemented
106#19128299C2214yescomplemented
107#19128299C2214yescomplemented
108#19128299C2214yescomplemented
109#19128297C2214yescomplemented
110#19128297C2214yescomplemented
111#19128297C2214yescomplemented
112#19128295C2214yescomplemented
113#19128295C2214yescomplemented
114#19128294C2214yescomplemented
115#19128292C2214yescomplemented
116#19128292C2214yescomplemented
117#19128292C2214yescomplemented
118#19128291C2214yescomplemented
119#19128290C2214yescomplemented
120#19128290C2214yescomplemented
121#19128290C2214yescomplemented
122#19128288C2214yescomplemented
123#19128287C2214yescomplemented
124#19128285C2214yes—
125#19128285C2214yescomplemented
126#19128285C2214yescomplemented
127#19128283C2214yescomplemented
128#19128281C2214yes—
129#19128276C2214yescomplemented
130#19128274C2214yescomplemented
131#19128262C2214yescomplemented
132#19128262C2214yescomplemented
133#19128259C2214yescomplemented
134#19128256C2212yescomplemented
135#19128255C2214yescomplemented
136#19128255C2214yescomplemented
137#19128252C2212yescomplemented
138#19128251C2211yescharacteristic, complemented
139#19128248C2214yescomplemented
140#19128238C2214yescomplemented
141#19128238C2214yescomplemented
142#19128238C2214yescomplemented
143#19128238C2214yescomplemented
144#19128238C2214yescomplemented
145#19128238C2212yescomplemented
146#19128237C2214yescomplemented
147#19128237C2212yescomplemented
148#19128236C2212yescomplemented
149#19128236C2212yescomplemented
150#19128236C2212yescomplemented
151#19128235C2212yescomplemented
152#19128235C2214yescomplemented
153#19128234C2214yescomplemented
154#19128233C2214yescomplemented
155#19128233C2212yescomplemented
156#19128232C2212yescomplemented
157#19128231C2214yescomplemented
158#19128230C2212yescomplemented
159#19128229C2214yescomplemented
160#19128229C2214yescomplemented
161#19128229C2214yescomplemented
162#19128229C2214yescomplemented
163#19128229C2214yescomplemented
164#19128228C2214yescomplemented
165#126×D83C2214yescomplemented
166#125×D83C2212yescomplemented
167#124×D83C2212yescomplemented
168#19128214C2214yescomplemented
169#19128213C2214yescomplemented
170#19128213C2214yescomplemented
171#19128213C2212yescomplemented
172#19128210C2214yescomplemented
173#19128210C2214yescomplemented
174#19128210C2214yescomplemented
175#19128210C2214yescomplemented
176#123×D83C2214yescomplemented
177C22⋊Q8×D83C2212yescomplemented
178#121×D83C2212yes—
179C4×#13050591C2214yescomplemented
180C4×#13050591C2214yescomplemented
181C4×#13050590C2214yescomplemented
182C4×#13050590C2214yescomplemented
183#19128169C2212yescomplemented
184C4×Q8×D83C2212yescomplemented
185C2×C4×D332C2214yescomplemented
186C4×D4×D83C2212yescomplemented
187C4×D4×D83C2214yescomplemented
188C4×D4×D83C2214yescomplemented
189#117×D83C2214yescomplemented
190#117×D83C2214yescomplemented
191C2×C42×D83C2211yescharacteristic, complemented
192#564×C83C2211yescharacteristic, complemented
193#563×C83C2214yescomplemented
194#563×C83C2212yescomplemented
195#563×C83C2214yescomplemented
196#562×C83C2214yescomplemented
197#562×C83C2211yescharacteristic, complemented
198#533×C83C2211yescharacteristic, complemented
199#533×C83C2214yescomplemented
200#529×C83C2212yescomplemented
201#529×C83C2214yescomplemented
202#529×C83C2214yescomplemented
203C2×#13050591C2314yes—
204C2×#13050591C2314yes—
205C2×#13050590C2314yes—
206C2×#13050590C2312yes—
207C2×#13050590C2314yes—
208C2×Q8×D83C2312yes—
209C22×D332C2314yes—
210C2×D4×D83C2314yes—
211C2×D4×D83C2314yes—
212C2×D4×D83C2312yes—
213C22×C4×D83C2311yescharacteristic
214C22×C4×D83C2312yes—
215C22×C4×D83C2314yes—
216C22×C4×D83C2314yes—
217#14581792C2311yescharacteristic
218#14581791C2314yes—
219#14581791C2314yes—
220#14581791C2314yes—
221#14581790C2314yes—
222#14581790C2314yes—
223#14581789C2311yescharacteristic
224#14581788C2314yes—
225#14581787C2314yes—
226#14581787C2314yes—
227#14581787C2314yes—
228#14581787C2314yes—
229#14581787C2314yes—
230#14581787C2314yes—
231#14581787C2314yes—
232#14581787C2314yes—
233#14581787C2314yes—
234#14581787C2314yes—
235#14581787C2314yes—
236#14581787C2314yes—
237#14581787C2314yes—
238#14581787C2314yes—
239#14581787C2314yes—
240#14581787C2314yes—
241#14581787C2314yes—
242#14581786C2314yes—
243#14581786C2314yes—
244#14581786C2314yes—
245#14581785C2314yes—
246#14581785C2314yes—
247#14581785C2314yes—
248#14581785C2314yes—
249#14581785C2314yes—
250#14581785C2314yes—
251#14581785C2314yes—
252#14581785C2314yes—
253#14581785C2314yes—
254#14581784C2314yes—
255#14581784C2312yes—
256#14581783C2314yes—
257#14581783C2314yes—
258#14581783C2312yes—
259#14581783C2312yes—
260#14581783C2314yes—
261#14581783C2314yes—
262#14581783C2314yes—
263#14581783C2314yes—
264#14581782C2314yes—
265#14581782C2314yes—
266#14581782C2314yes—
267#14581782C2314yes—
268#14581782C2314yes—
269#14581782C2314yes—
270#14581782C2314yes—
271#14581782C2314yes—
272#14581782C2314yes—
273#14581782C2314yes—
274#14581781C2314yes—
275#14581781C2314yes—
276#14581781C2314yes—
277#14581781C2314yes—
278#14581781C2314yes—
279#14581781C2312yes—
280#14581780C2314yes—
281#14581780C2312yes—
282#14581780C2312yes—
283#14581779C2314yes—
284#14581779C2312yes—
285#14581778C2314yes—
286#14581778C2314yes—
287#14581778C2314yes—
288#14581778C2314yes—
289#14581778C2314yes—
290#14581778C2314yes—
291#14581778C2314yes—
292#14581778C2314yes—
293#14581777C2314yes—
294#14581777C2314yes—
295#14581777C2314yes—
296#14581777C2314yes—
297#14581777C2314yes—
298#14581777C2314yes—
299#14581777C2314yes—
300#14581777C2314yes—
301#14581777C2314yes—
302#14581777C2314yes—
303#14581777C2314yes—
304#14581777C2314yes—
305#14581777C2314yes—
306#14581777C2314yes—
307#14581777C2314yes—
308#14581777C2314yes—
309#14581777C2314yes—
310#14581777C2314yes—
311#14581777C2314yes—
312#14581777C2314yes—
313#14581776C2314yes—
314#14581776C2314yes—
315#14581776C2314yes—
316#14581776C2314yes—
317#14581776C2314yes—
318#14581776C2314yes—
319#14581775C2314yes—
320#14581775C2314yes—
321#14581775C2314yes—
322#14581774C2314yes—
323#14581774C2314yes—
324#14581774C2314yes—
325#14581774C2314yes—
326#14581774C2314yes—
327#14581774C2314yes—
328#14581774C2314yes—
329#14581774C2314yes—
330#14581774C2314yes—
331#14581774C2314yes—
332#14581774C2314yes—
333#14581774C2314yes—
334#14581773C2314yes—
335#14581772C2314yes—
336#14581772C2314yes—
337#14581772C2314yes—
338#14581772C2314yes—
339#14581772C2314yes—
340#14581772C2312yes—
341#14581772C2314yes—
342#14581772C2312yes—
343#14581772C2312yes—
344#14581772C2314yes—
345#14581771C2314yes—
346#14581771C2312yes—
347#14581770C2314yes—
348#14581770C2314yes—
349#14581770C2314yes—
350#14581770C2314yes—
351#14581770C2314yes—
352#14581770C2314yes—
353#14581770C2314yes—
354#14581770C2314yes—
355#14581770C2314yes—
356#14581770C2314yes—
357#14581770C2314yes—
358#14581770C2314yes—
359#14581770C2314yes—
360#14581769C2314yes—
361#14581769C2314yes—
362#14581769C2314yes—
363#14581769C2314yes—
364#14581769C2314yes—
365#14581768C2314yes—
366#14581768C2314yes—
367#14581768C2314yes—
368#14581768C2314yes—
369#14581768C2314yes—
370#14581768C2314yes—
371#14581768C2312yes—
372#14581768C2314yes—
373#14581767C2314yes—
374#14581767C2314yes—
375#14581767C2312yes—
376#14581767C2312yes—
377#14581767C2314yes—
378#14581767C2314yes—
379#14581767C2314yes—
380#14581767C2314yes—
381#14581767C2312yes—
382#14581767C2314yes—
383#14581767C2314yes—
384#14581767C2314yes—
385#14581767C2314yes—
386#14581766C2314yes—
387#14581766C2314yes—
388#14581766C2312yes—
389#14581765C2314yes—
390#14581765C2314yes—
391#14581765C2314yes—
392#14581765C2314yes—
393#14581765C2314yes—
394#14581765C2314yes—
395#14581765C2314yes—
396#14581765C2314yes—
397#14581765C2314yes—
398#14581765C2314yes—
399#14581765C2314yes—
400#14581764C2314yes—
401#14581764C2314yes—
402#14581764C2314yes—
403#14581764C2314yes—
404#14581764C2314yes—
405#14581763C2314yes—
406#14581763C2314yes—
407#14581763C2312yes—
408#14581762C2314yes—
409#14581762C2314yes—
410#14581762C2314yes—
411#14581762C2314yes—
412#14581762C2314yes—
413#14581762C2314yes—
414#14581762C2314yes—
415#14581762C2314yes—
416#14581762C2314yes—
417#14581760C2314yes—
418#14581760C2314yes—
419#14581760C2314yes—
420#14581760C2314yes—
421Q8×Dic83C2312yes—
422Q8×Dic83C2314yes—
423Q8×Dic83C2314yes—
424C4×Dic166C2314yes—
425C4×Dic166C2314yes—
426C4×Dic166C2314yes—
427C4×Dic166C2314yes—
428C4×Dic166C2312yes—
429C4×Dic166C2314yes—
430#14581757C2312yes—
431#14581757C2312yes—
432#14581757C2314yes—
433#14581757C2312yes—
434C4×D332C2314yes—
435C4×D332C2314yes—
436C4×D332C2314yes—
437C4×D332C2314yes—
438C4×D332C2314yes—
439C4×D332C2314yes—
440C4×D332C2314yes—
441C4×D332C2314yes—
442C4×D332C2314yes—
443C4×D332C2312yes—
444C4×D332C2314yes—
445C4×D332C2314yes—
446C4×D332C2314yes—
447C4×D332C2314yes—
448C4×D332C2314yes—
449D4×Dic83C2314yes—
450D4×Dic83C2314yes—
451D4×Dic83C2312yes—
452#14581754C2314yes—
453#14581754C2314yes—
454#14581754C2314yes—
455#14581754C2314yes—
456#14581754C2314yes—
457#14581754C2314yes—
458#14581754C2314yes—
459#14581754C2314yes—
460#14581754C2312yes—
461#14581754C2312yes—
462#14581754C2312yes—
463C4×C22⋊D83C2314yes—
464C4×C22⋊D83C2314yes—
465C4×C22⋊D83C2314yes—
466C4×C22⋊D83C2314yes—
467C4×C22⋊D83C2314yes—
468C4×C22⋊D83C2314yes—
469C4×C22⋊D83C2314yes—
470C4×C22⋊D83C2314yes—
471C4×C22⋊D83C2314yes—
472C4×C22⋊D83C2314yes—
473C4×C22⋊D83C2314yes—
474(C22⋊D83)⋊C4C2314yes—
475(C22⋊D83)⋊C4C2314yes—
476(C22⋊D83)⋊C4C2314yes—
477(C22⋊D83)⋊C4C2314yes—
478(C22⋊D83)⋊C4C2314yes—
479(C22⋊D83)⋊C4C2314yes—
480(C22⋊D83)⋊C4C2314yes—
481#14581751C2314yes—
482#14581751C2314yes—
483#14581750C2314yes—
484#14581750C2314yes—
485#14581750C2314yes—
486#14581750C2314yes—
487#14581750C2314yes—
488#14581750C2314yes—
489#14581750C2314yes—
490#14581750C2314yes—
491#14581750C2314yes—
492#14581750C2314yes—
493#14581749C2314yes—
494#14581749C2314yes—
495#14581749C2314yes—
496#14581749C2314yes—
497#14581749C2314yes—
498#14581749C2314yes—
499#14581749C2314yes—
500#14581748C2314yes—
501#14581748C2314yes—
502#14581748C2314yes—
503#14581748C2314yes—
504C2×C4⋊Dic83C2314yes—
505C4⋊C4×D83C2314yes—
506C4⋊C4×D83C2314yes—
507C4⋊C4×D83C2314yes—
508C4⋊C4×D83C2314yes—
509C4⋊C4×D83C2314yes—
510C4⋊C4×D83C2314yes—
511C4⋊C4×D83C2314yes—
512C4⋊C4×D83C2312yes—
513C4⋊C4×D83C2312yes—
514C2×(C2×D83)⋊C4C2314yes—
515C2×(C2×D83)⋊C4C2314yes—
516C22⋊C4×D83C2314yes—
517C22⋊C4×D83C2314yes—
518C22⋊C4×D83C2314yes—
519C22⋊C4×D83C2314yes—
520C22⋊C4×D83C2314yes—
521C22⋊C4×D83C2314yes—
522C22⋊C4×D83C2314yes—
523C22⋊C4×D83C2314yes—
524C22⋊C4×D83C2314yes—
525C2×C4×Dic83C2311yescharacteristic
526C2×C4×Dic83C2312yes—
527C42×D83C2312yes—
528C42×D83C2312yes—
529C42×D83C2312yes—
530C42×D83C2312yes—
531C42×D83C2314yes—
532C42×D83C2314yes—
533C42×D83C2314yes—
534C42×D83C2314yes—
535C4⋊Q8×C83C2314yes—
536C4⋊Q8×C83C2314yes—
537C4⋊Q8×C83C2312yes—
538#126×C83C2314yes—
539#126×C83C2314yes—
540#126×C83C2314yes—
541#126×C83C2314yes—
542#126×C83C2314yes—
543#125×C83C2314yes—
544#125×C83C2314yes—
545#125×C83C2312yes—
546#125×C83C2314yes—
547#125×C83C2314yes—
548#125×C83C2311yescharacteristic
549#125×C83C2311yescharacteristic
550#124×C83C2314yes—
551#124×C83C2314yes—
552#124×C83C2312yes—
553#123×C83C2314yes—
554#123×C83C2314yes—
555#123×C83C2314yes—
556#123×C83C2314yes—
557#123×C83C2314yes—
558C22⋊Q8×C83C2314yes—
559C22⋊Q8×C83C2314yes—
560C22⋊Q8×C83C2314yes—
561C22⋊Q8×C83C2314yes—
562C22⋊Q8×C83C2314yes—
563C22⋊Q8×C83C2314yes—
564C22⋊Q8×C83C2312yes—
565C22⋊Q8×C83C2314yes—
566#121×C83C2314yes—
567#121×C83C2314yes—
568#121×C83C2312yes—
569C4×Q8×C83C2312yes—
570C4×Q8×C83C2314yes—
571C4×Q8×C83C2314yes—
572C4×D4×C83C2312yes—
573C4×D4×C83C2314yes—
574C4×D4×C83C2314yes—
575#117×C83C2314yes—
576#117×C83C2314yes—
577#117×C83C2312yes—
578C2×C42×C83C2311yescharacteristic
579C2×C42×C83C2314yes—
580C23×D83C2411yescharacteristic
581C23×D83C2414yes—
582C23×D83C2414yes—
583#13050591—48no—
584#13050591—48no—
585#13050590—48no—
586#13050590—44no—
587#13050590—48no—
588C2×Dic166C2414yes—
589C2×Dic166C2412yes—
590C2×Dic166C2414yes—
591C2×Dic166C2412yes—
592C2×Dic166C2414yes—
593Q8×D83—44no—
594C2×D332—48no—
595C2×D332C2414yes—
596C2×D332C2414yes—
597C2×D332C2414yes—
598C2×D332C2414yes—
599C2×D332C2414yes—
600C2×D332C2414yes—
601C2×D332C2412yes—
602C2×D332C2414yes—
603C2×D332C2412yes—
604C2×D332C2414yes—
605C2×C22⋊D83C2414yes—
606C2×C22⋊D83C2414yes—
607C2×C22⋊D83C2414yes—
608C2×C22⋊D83C2414yes—
609C2×C22⋊D83C2414yes—
610C2×C22⋊D83C2414yes—
611C2×C22⋊D83C2414yes—
612C2×C22⋊D83C2414yes—
613D4×D83—44no—
614D4×D83—48no—
615D4×D83—48no—
616C22×Dic83C2414yes—
617C22×Dic83C2412yes—
618C22×Dic83C2414yes—
619C22×Dic83C2411yescharacteristic
620C2×C4×D83—42no—
621C2×C4×D83—48no—
622C2×C4×D83—48no—
623C2×C4×D83—44no—
624C2×C4×D83C2412yes—
625C2×C4×D83C2412yes—
626C2×C4×D83C2414yes—
627C2×C4×D83C2412yes—
628C2×C4×D83C2414yes—
629C2×C4×D83C2414yes—
630C2×C4×D83C2414yes—
631C2×C4×D83C2412yes—
632C2×C4×D83C2414yes—
633C2×C4×D83C2412yes—
634C2×C4×D83C2414yes—
635C2×C4×D83C2414yes—
636C2×C4×D83C2414yes—
637C2×C4×D83C2414yes—
638C2×C4×D83C2414yes—
639C2×C4×D83C2414yes—
640C2×C4×D83C2414yes—
641C2×C4×D83C2412yes—
642C2×C4×D83C2414yes—
643C2×C4×D83C2414yes—
644C4⋊Dic83C2412yes—
645C4⋊Dic83C2414yes—
646C4⋊Dic83C2414yes—
647C4⋊Dic83C2414yes—
648C4⋊Dic83C2414yes—
649C4⋊Dic83C2414yes—
650C4⋊Dic83C2414yes—
651C4⋊Dic83C2412yes—
652C4⋊Dic83C2414yes—
653C4⋊Dic83C2414yes—
654C4⋊Dic83C2414yes—
655C4⋊Dic83C2414yes—
656C4⋊Dic83C2414yes—
657Dic83⋊C4C2414yes—
658Dic83⋊C4C2414yes—
659Dic83⋊C4C2414yes—
660Dic83⋊C4C2414yes—
661Dic83⋊C4C2414yes—
662Dic83⋊C4C2414yes—
663Dic83⋊C4C2414yes—
664Dic83⋊C4C2414yes—
665Dic83⋊C4C2414yes—
666Dic83⋊C4C2414yes—
667Dic83⋊C4C2414yes—
668Dic83⋊C4C2414yes—
669Dic83⋊C4C2414yes—
670Dic83⋊C4C2414yes—
671Dic83⋊C4C2414yes—
672Dic83⋊C4C2414yes—
673Dic83⋊C4C2414yes—
674Dic83⋊C4C2414yes—
675Dic83⋊C4C2414yes—
676Dic83⋊C4C2414yes—
677C22⋊Dic83C2414yes—
678C22⋊Dic83C2414yes—
679C22⋊Dic83C2414yes—
680C22⋊Dic83C2414yes—
681C22⋊Dic83C2414yes—
682C22⋊Dic83C2414yes—
683C22⋊Dic83C2414yes—
684(C2×D83)⋊C4C2414yes—
685(C2×D83)⋊C4C2414yes—
686(C2×D83)⋊C4C2414yes—
687(C2×D83)⋊C4C2414yes—
688(C2×D83)⋊C4C2414yes—
689(C2×D83)⋊C4C2414yes—
690(C2×D83)⋊C4C2414yes—
691(C2×D83)⋊C4C2414yes—
692(C2×D83)⋊C4C2414yes—
693(C2×D83)⋊C4C2414yes—
694(C2×D83)⋊C4C2414yes—
695(C2×D83)⋊C4C2414yes—
696(C2×D83)⋊C4C2414yes—
697(C2×D83)⋊C4C2414yes—
698(C2×D83)⋊C4C2414yes—
699(C2×D83)⋊C4C2414yes—
700(C2×D83)⋊C4C2414yes—
701(C2×D83)⋊C4C2414yes—
702(C2×D83)⋊C4C2414yes—
703(C2×D83)⋊C4C2414yes—
704(C2×D83)⋊C4C2414yes—
705(C2×D83)⋊C4C2414yes—
706(C2×D83)⋊C4C2414yes—
707(C2×D83)⋊C4C2414yes—
708(C2×D83)⋊C4C2414yes—
709(C2×D83)⋊C4C2414yes—
710(C2×D83)⋊C4C2414yes—
711(C2×D83)⋊C4C2414yes—
712(C2×D83)⋊C4C2414yes—
713(C2×D83)⋊C4C2414yes—
714C4×Dic83C2414yes—
715C4×Dic83C2412yes—
716C4×Dic83C2412yes—
717C4×Dic83C2414yes—
718C4×Dic83C2414yes—
719C4×Dic83C2414yes—
720C4×Dic83C2412yes—
721C4×Dic83C2414yes—
722C4×Dic83C2412yes—
723C4×Dic83C2414yes—
724C4×Dic83C2414yes—
725C4×Dic83C2414yes—
726C4×Dic83C2412yes—
727C4×Dic83C2411yescharacteristic
728C4×Dic83C2414yes—
729C4×Dic83C2411yescharacteristic
730C2×Q8×C83C2412yes—
731C2×Q8×C83C2414yes—
732C2×Q8×C83C2414yes—
733C2×D4×C83C2414yes—
734C2×D4×C83C2412yes—
735C2×D4×C83C2414yes—
736C22×C4×C83C2414yes—
737C22×C4×C83C2411yescharacteristic
738C22×C4×C83C2412yes—
739C22×C4×C83C2414yes—
740C22×C4×C83C2414yes—
741C4⋊C4×C83C2412yes—
742C4⋊C4×C83C2414yes—
743C4⋊C4×C83C2414yes—
744C4⋊C4×C83C2414yes—
745C4⋊C4×C83C2414yes—
746C4⋊C4×C83C2414yes—
747C4⋊C4×C83C2414yes—
748C4⋊C4×C83C2414yes—
749C4⋊C4×C83C2414yes—
750C4⋊C4×C83C2414yes—
751C4⋊C4×C83C2412yes—
752C4⋊C4×C83C2412yes—
753C4⋊C4×C83C2414yes—
754C4⋊C4×C83C2414yes—
755C4⋊C4×C83C2412yes—
756C4⋊C4×C83C2414yes—
757C4⋊C4×C83C2414yes—
758C22⋊C4×C83C2414yes—
759C22⋊C4×C83C2414yes—
760C22⋊C4×C83C2414yes—
761C22⋊C4×C83C2414yes—
762C22⋊C4×C83C2414yes—
763C22⋊C4×C83C2414yes—
764C22⋊C4×C83C2414yes—
765C22⋊C4×C83C2414yes—
766C22⋊C4×C83C2414yes—
767C22⋊C4×C83C2414yes—
768C42×C83C2411yescharacteristic
769C42×C83C2414yes—
770C42×C83C2411yescharacteristic
771C42×C83C2414yes—
772C42×C83C2414yes—
773C42×C83C2412yes—
774C42×C83C2414yes—
775C23×C83C2514yes—
776C23×C83C2511yescharacteristic
777C22×D83—24no—
778C22×D83—28no—
779C22×D83—41no—
780C22×D83—44no—
781C22×D83—44no—
782C22×D83—44no—
783C22×D83—44no—
784C22×D83—44no—
785C22×D83C2514yes—
786C22×D83C2514yes—
787C22×D83C2512yes—
788Q8×C83—42no—
789Q8×C83—44no—
790Q8×C83—44no—
791D4×C83—42no—
792D4×C83—44no—
793D4×C83—44no—
794C2×C4×C83—28no—
795C2×C4×C83—22no—
796C2×C4×C83—42no—
797C2×C4×C83—44no—
798C2×C4×C83—44no—
799C2×C4×C83C2511yescharacteristic
800C2×C4×C83C2514yes—
801C2×C4×C83C2514yes—
802C2×C4×C83C2512yes—
803C2×C4×C83C2514yes—
804C2×C4×C83C2512yes—
805C2×C4×C83C2514yes—
806C2×C4×C83C2514yes—
807C2×C4×C83C2511yescharacteristic
808C22⋊D83—28no—
809C22⋊D83—44no—
810C22⋊D83—44no—
811C22⋊D83—44no—
812C22⋊D83—44no—
813C22⋊D83—44no—
814C22⋊D83—44no—
815C22⋊D83—44no—
816C2×Dic83—44no—
817C2×Dic83—42no—
818C2×Dic83—44no—
819C2×Dic83—41no—
820C2×Dic83C2512yes—
821C2×Dic83C2512yes—
822C2×Dic83C2514yes—
823C2×Dic83C2512yes—
824C2×Dic83C2514yes—
825C2×Dic83C2514yes—
826C2×Dic83C2514yes—
827D332—28no—
828D332—28no—
829D332—28no—
830D332—42no—
831D332—44no—
832D332—44no—
833D332—42no—
834D332—44no—
835D332—44no—
836D332—44no—
837C4×D83—24no—
838C4×D83—24no—
839C4×D83—28no—
840C4×D83—24no—
841C4×D83—28no—
842C4×D83—28no—
843C4×D83—44no—
844C4×D83—42no—
845C4×D83—44no—
846C4×D83—44no—
847C4×D83—42no—
848C4×D83—42no—
849C4×D83—44no—
850C4×D83—44no—
851C4×D83—44no—
852C4×D83—44no—
853C4×D83—44no—
854C4×D83—44no—
855C4×D83—44no—
856C4×D83—44no—
857Dic166—42no—
858Dic166—44no—
859Dic166—44no—
860Dic166—42no—
861Dic166—44no—
862C22×C83—24no—
863C22×C83—21no—
864C22×C83—22no—
865C22×C83—24no—
866C22×C83—24no—
867C22×C83C2611yescharacteristic
868C2×D83—22no—
869C2×D83—22no—
870C2×D83—24no—
871C2×D83—24no—
872C2×D83—24no—
873C2×D83—24no—
874C2×D83—24no—
875C2×D83—24no—
876C2×D83—44no—
877C2×D83—88no—
878C2×D83—88no—
879C2×D83#58514yes—
880C4×C83—21no—
881C4×C83—22no—
882C4×C83—24no—
883C4×C83—24no—
884C4×C83—24no—
885C4×C83—22no—
886C4×C83—24no—
887C4×C83—24no—
888C4×C83#58512yes—
889Dic83—24no—
890Dic83—22no—
891Dic83—24no—
892Dic83—24no—
893Dic83—24no—
894Dic83—22no—
895Dic83—22no—
896#62755—831nomaximal, Sylow
897C2×C83—41no—
898C2×C83—44no—
899C2×C83C2×#58512yes—
900C2×C83C2×#58511yescharacteristic
901D83—24no—
902D83—44no—
903D83—44no—
904#3566—834no—
905#3566—834no—
906#3564—834no—
907#3560—834no—
908#3553—832no—
909#3553—832no—
910#3545—832no—
911#3545—832no—
912#3535—834no—
913#3534—834no—
914#3531—831no—
915#3531D8311yescharacteristic, complemented
916#3529—832no—
917#3481—834no—
918#3475—834no—
919#3475—834no—
920#3461—834no—
921#3459—834no—
922#3455—834no—
923#3444—831no—
924C2×#529—832no—
925C83#6275511yescharacteristic, complemented, Sylow
926#564—831no—
927#564C2×D8311yescharacteristic, complemented
928#563—834no—
929#563—834no—
930#563—832no—
931#563—832no—
932#563—834no—
933#563C2×D8314yescomplemented
934#563C2×D8312yescomplemented
935#563C2×D8314yescomplemented
936#562—832no—
937#562—831no—
938#562—832no—
939#562—834no—
940#562—834no—
941#562—834no—
942#562C2×D8314yescomplemented
943#562C2×D8311yescharacteristic, complemented
944H(3,𝔽4)—832no—
945#560—834no—
946#560—834no—
947#560—834no—
948#559—834no—
949#556—834no—
950#556—834no—
951#555—834no—
952#555—834no—
953#554—834no—
954#554—834no—
955#554—834no—
956#554—834no—
957#553—834no—
958#553—834no—
959#553—834no—
960#553—834no—
961#553—834no—
962#553—834no—
963#553—834no—
964#553—834no—
965#552—834no—
966#552—834no—
967#552—834no—
968#552—834no—
969#552—834no—
970#552—834no—
971#552—834no—
972#552—834no—
973#551—834no—
974#551—834no—
975#551—834no—
976#551—834no—
977#551—834no—
978#551—834no—
979#551—834no—
980#551—834no—
981#551—834no—
982#551—834no—
983#551—834no—
984#551—834no—
985#547—834no—
986#547—834no—
987#546—834no—
988#546—834no—
989#546—834no—
990#546—834no—
991#546—834no—
992#546—834no—
993#546—834no—
994#546—834no—
995D42—834no—
996#544—834no—
997#543—834no—
998#542—834no—
999#542—834no—
1000#542—834no—
1001#542—834no—
1002#542—834no—
1003#542—834no—
1004#542—834no—
1005#542—834no—
1006#541—834no—
1007#541—834no—
1008#541—834no—
1009#541—834no—
1010#541—834no—
1011#541—834no—
1012#540—834no—
1013#540—834no—
1014#539—834no—
1015#539—834no—
1016#539—834no—
1017#539—834no—
1018#539—834no—
1019#539—834no—
1020#539—834no—
1021#539—834no—
1022#539—834no—
1023#539—834no—
1024#539—834no—
1025#539—834no—
1026#539—834no—
1027#539—834no—
1028#538—834no—
1029#538—834no—
1030#538—834no—
1031#538—834no—
1032#538—834no—
1033#538—834no—
1034#538—834no—
1035#538—834no—
1036#538—834no—
1037#538—834no—
1038#537—834no—
1039#536—834no—
1040#536—834no—
1041#534—834no—
1042#534—834no—
1043#534—834no—
1044#533—832no—
1045#533—834no—
1046#533—834no—
1047#533C2×D8311yescharacteristic, complemented
1048#533C2×D8314yescomplemented
1049#532—832no—
1050#532—834no—
1051#532—831no—
1052#529—834no—
1053#529—832no—
1054#529—832no—
1055#529—832no—
1056#529—832no—
1057#529—834no—
1058#529—832no—
1059#529—834no—
1060#529—832no—
1061#529—832no—
1062#529—834no—
1063#529—834no—
1064#529—834no—
1065#529—834no—
1066#529—834no—
1067#529—834no—
1068#529—832no—
1069#529—834no—
1070#529—834no—
1071#529—834no—
1072#529—834no—
1073#529—834no—
1074#529—834no—
1075#529—832no—
1076#529—834no—
1077#529C2×D8312yescomplemented
1078#529C2×D8314yescomplemented
1079#529C2×D8314yescomplemented
1080C2×#126—834no—
1081C2×#125—832no—
1082C2×#124—832no—
1083#525—834no—
1084#525—834no—
1085#525—834no—
1086#525—834no—
1087#525—834no—
1088#525—832no—
1089#525—834no—
1090#525—834no—
1091C2×#123—834no—
1092C2×C22⋊Q8—832no—
1093C2×#121—832no—
1094C4×#41—834no—
1095C4×#41—834no—
1096C4×#41—832no—
1097C4×#41—834no—
1098C4×#41—834no—
1099C2×C4×Q8—832no—
1100C2×C4×D4—832no—
1101C2×C4×D4—834no—
1102C2×C4×D4—834no—
1103C2×C4×D4—834no—
1104C2×#117—834no—
1105C2×#117—834no—
1106C22×C42—831no—
1107C2×#41—834no—
1108C2×#41—834no—
1109C2×#41—834no—
1110C2×#41—832no—
1111C2×#41—834no—
1112C22×Q8—832no—
1113C22×D4—834no—
1114C22×D4—832no—
1115C22×D4—834no—
1116C22×D4—834no—
1117C23×C4—834no—
1118C23×C4—834no—
1119C23×C4—831no—
1120C23×C4—832no—
1121C4⋊Q8—834no—
1122C4⋊Q8—834no—
1123C4⋊Q8—834no—
1124C4⋊Q8—834no—
1125C4⋊Q8—834no—
1126C4⋊Q8—831no—
1127C4⋊Q8C22×D8312yes—
1128C4⋊Q8C22×D8314yes—
1129C4⋊Q8C22×D8314yes—
1130#127—834no—
1131#127—831no—
1132#126—834no—
1133#126—834no—
1134#126—834no—
1135#126—834no—
1136#126—834no—
1137#126—834no—
1138#126—834no—
1139#126—834no—
1140#126—834no—
1141#126—834no—
1142#126—834no—
1143#126—834no—
1144#126—834no—
1145#126—834no—
1146#126—834no—
1147#126—834no—
1148#126—834no—
1149#126—834no—
1150#126—834no—
1151#126—834no—
1152#126—834no—
1153#126—834no—
1154#126—834no—
1155#126—834no—
1156#126—834no—
1157#126—834no—
1158#126—834no—
1159#126—834no—
1160#126—834no—
1161#126C22×D8314yes—
1162#126C22×D8314yes—
1163#126C22×D8314yes—
1164#126C22×D8314yes—
1165#126C22×D8314yes—
1166#125—834no—
1167#125—834no—
1168#125—832no—
1169#125—832no—
1170#125—834no—
1171#125—834no—
1172#125—834no—
1173#125—834no—
1174#125—834no—
1175#125—834no—
1176#125—834no—
1177#125—834no—
1178#125—834no—
1179#125—834no—
1180#125—834no—
1181#125—834no—
1182#125—834no—
1183#125—834no—
1184#125—832no—
1185#125—834no—
1186#125C22×D8312yes—
1187#125C22×D8311yescharacteristic
1188#125C22×D8311yescharacteristic
1189#125C22×D8314yes—
1190#125C22×D8314yes—
1191#125C22×D8314yes—
1192#125C22×D8314yes—
1193#124—832no—
1194#124—834no—
1195#124—834no—
1196#124—834no—
1197#124—834no—
1198#124—834no—
1199#124—832no—
1200#124—834no—
1201#124—834no—
1202#124—834no—
1203#124—834no—
1204#124—834no—
1205#124—834no—
1206#124—834no—
1207#124—834no—
1208#124—834no—
1209#124—832no—
1210#124—832no—
1211#124—834no—
1212#124C22×D8312yes—
1213#124C22×D8314yes—
1214#124C22×D8314yes—
1215#123—834no—
1216#123—834no—
1217#123—834no—
1218#123—834no—
1219#123—834no—
1220#123—834no—
1221#123—834no—
1222#123—834no—
1223#123—834no—
1224#123—834no—
1225#123—834no—
1226#123—834no—
1227#123—834no—
1228#123—834no—
1229#123—834no—
1230#123—834no—
1231#123—834no—
1232#123—834no—
1233#123—834no—
1234#123—834no—
1235#123—834no—
1236#123—834no—
1237#123—834no—
1238#123—834no—
1239#123—834no—
1240#123—834no—
1241#123—834no—
1242#123—834no—
1243#123—834no—
1244#123—834no—
1245#123—834no—
1246#123—834no—
1247#123—834no—
1248#123—834no—
1249#123—834no—
1250#123—834no—
1251#123—834no—
1252#123—834no—
1253#123—834no—
1254#123—834no—
1255#123—834no—
1256#123—834no—
1257#123C22×D8314yes—
1258#123C22×D8314yes—
1259#123C22×D8314yes—
1260#123C22×D8314yes—
1261#123C22×D8314yes—
1262C22⋊Q8—832no—
1263C22⋊Q8—834no—
1264C22⋊Q8—834no—
1265C22⋊Q8—834no—
1266C22⋊Q8—834no—
1267C22⋊Q8—834no—
1268C22⋊Q8—834no—
1269C22⋊Q8—834no—
1270C22⋊Q8—832no—
1271C22⋊Q8—834no—
1272C22⋊Q8—834no—
1273C22⋊Q8—834no—
1274C22⋊Q8—834no—
1275C22⋊Q8—834no—
1276C22⋊Q8—834no—
1277C22⋊Q8—834no—
1278C22⋊Q8—834no—
1279C22⋊Q8—834no—
1280C22⋊Q8—834no—
1281C22⋊Q8—834no—
1282C22⋊Q8—834no—
1283C22⋊Q8—834no—
1284C22⋊Q8—834no—
1285C22⋊Q8—832no—
1286C22⋊Q8—832no—
1287C22⋊Q8—832no—
1288C22⋊Q8—834no—
1289C22⋊Q8—834no—
1290C22⋊Q8—834no—
1291C22⋊Q8—834no—
1292C22⋊Q8—834no—
1293C22⋊Q8—834no—
1294C22⋊Q8—834no—
1295C22⋊Q8—834no—
1296C22⋊Q8—834no—
1297C22⋊Q8—834no—
1298C22⋊Q8—834no—
1299C22⋊Q8—834no—
1300C22⋊Q8C22×D8312yes—
1301C22⋊Q8C22×D8314yes—
1302C22⋊Q8C22×D8314yes—
1303C22⋊Q8C22×D8314yes—
1304C22⋊Q8C22×D8314yes—
1305C22⋊Q8C22×D8314yes—
1306C22⋊Q8C22×D8314yes—
1307C22⋊Q8C22×D8314yes—
1308#121—832no—
1309#121—834no—
1310#121—834no—
1311#121—834no—
1312#121—834no—
1313#121—834no—
1314#121—834no—
1315#121—834no—
1316#121—832no—
1317#121—834no—
1318#121—834no—
1319#121—832no—
1320#121—834no—
1321#121—832no—
1322#121—832no—
1323#121—834no—
1324#121—834no—
1325#121—834no—
1326#121—834no—
1327#121—834no—
1328#121—834no—
1329#121—834no—
1330#121—834no—
1331#121—834no—
1332#121—834no—
1333#121—834no—
1334#121—834no—
1335#121—834no—
1336#121—834no—
1337#121—834no—
1338#121—834no—
1339#121—834no—
1340#121—834no—
1341#121—834no—
1342#121—834no—
1343#121C22×D8312yes—
1344#121C22×D8314yes—
1345#121C22×D8314yes—
1346#120—834no—
1347#120—834no—
1348#120—834no—
1349#120—834no—
1350#120—834no—
1351#120—834no—
1352#120—834no—
1353#120—834no—
1354#120—834no—
1355#120—834no—
1356#120—834no—
1357#120—834no—
1358#120—834no—
1359C4×Q8—832no—
1360C4×Q8—834no—
1361C4×Q8—834no—
1362C4×Q8—834no—
1363C4×Q8—832no—
1364C4×Q8—832no—
1365C4×Q8—832no—
1366C4×Q8—834no—
1367C4×Q8—832no—
1368C4×Q8—834no—
1369C4×Q8—834no—
1370C4×Q8—834no—
1371C4×Q8—834no—
1372C4×Q8C22×D8312yes—
1373C4×Q8C22×D8314yes—
1374C4×Q8C22×D8314yes—
1375C4×D4—832no—
1376C4×D4—834no—
1377C4×D4—834no—
1378C4×D4—834no—
1379C4×D4—834no—
1380C4×D4—834no—
1381C4×D4—834no—
1382C4×D4—834no—
1383C4×D4—834no—
1384C4×D4—834no—
1385C4×D4—834no—
1386C4×D4—834no—
1387C4×D4—834no—
1388C4×D4—834no—
1389C4×D4—832no—
1390C4×D4—834no—
1391C4×D4—834no—
1392C4×D4—834no—
1393C4×D4—834no—
1394C4×D4—832no—
1395C4×D4—832no—
1396C4×D4—834no—
1397C4×D4—834no—
1398C4×D4—834no—
1399C4×D4—834no—
1400C4×D4—834no—
1401C4×D4—834no—
1402C4×D4—834no—
1403C4×D4—834no—
1404C4×D4—834no—
1405C4×D4—834no—
1406C4×D4—834no—
1407C4×D4—834no—
1408C4×D4—834no—
1409C4×D4—834no—
1410C4×D4—832no—
1411C4×D4—834no—
1412C4×D4—834no—
1413C4×D4—834no—
1414C4×D4—834no—
1415C4×D4—834no—
1416C4×D4—834no—
1417C4×D4—834no—
1418C4×D4—834no—
1419C4×D4—834no—
1420C4×D4—834no—
1421C4×D4—834no—
1422C4×D4C22×D8312yes—
1423C4×D4C22×D8314yes—
1424C4×D4C22×D8314yes—
1425#117—834no—
1426#117—834no—
1427#117—834no—
1428#117—834no—
1429#117—834no—
1430#117—834no—
1431#117—834no—
1432#117—834no—
1433#117—834no—
1434#117—834no—
1435#117—834no—
1436#117—834no—
1437#117—834no—
1438#117—834no—
1439#117—834no—
1440#117—834no—
1441#117—834no—
1442#117—834no—
1443#117—834no—
1444#117—834no—
1445#117—834no—
1446#117—834no—
1447#117—834no—
1448#117C22×D8314yes—
1449#117C22×D8314yes—
1450#117C22×D8312yes—
1451C2×C4⋊C4—834no—
1452C2×C4⋊C4—834no—
1453C2×C4⋊C4—834no—
1454C2×C4⋊C4—834no—
1455C2×C4⋊C4—834no—
1456C2×C4⋊C4—832no—
1457C2×C4⋊C4—834no—
1458C2×C4⋊C4—834no—
1459C2×C4⋊C4—832no—
1460C2×C4⋊C4—834no—
1461C2×C22⋊C4—834no—
1462C2×C22⋊C4—834no—
1463C2×C22⋊C4—834no—
1464C2×C22⋊C4—834no—
1465C2×C22⋊C4—834no—
1466C2×C22⋊C4—834no—
1467C2×C22⋊C4—834no—
1468C2×C22⋊C4—834no—
1469C2×C22⋊C4—834no—
1470C2×C22⋊C4—834no—
1471C2×C22⋊C4—834no—
1472C2×C42—831no—
1473C2×C42—832no—
1474C2×C42—832no—
1475C2×C42—834no—
1476C2×C42—834no—
1477C2×C42—834no—
1478C2×C42—832no—
1479C2×C42—834no—
1480C2×C42—832no—
1481C2×C42—832no—
1482C2×C42C22×D8314yes—
1483C2×C42C22×D8311yescharacteristic
1484C24—834no—
1485C24—834no—
1486C24—831no—
1487#41—3328no—
1488#41—3324no—
1489#41—3328no—
1490#41—3328no—
1491#41—3328no—
1492C2×Q8—3324no—
1493C2×Q8—834no—
1494C2×Q8—832no—
1495C2×Q8—834no—
1496C2×Q8—834no—
1497C2×Q8—832no—
1498C2×Q8C23×D8312yes—
1499C2×Q8C23×D8314yes—
1500C2×Q8C23×D8314yes—
1501C2×D4—3328no—
1502C2×D4—3328no—
1503C2×D4—3328no—
1504C2×D4—3324no—
1505C2×D4—834no—
1506C2×D4—834no—
1507C2×D4—834no—
1508C2×D4—834no—
1509C2×D4—834no—
1510C2×D4—834no—
1511C2×D4—834no—
1512C2×D4—834no—
1513C2×D4—834no—
1514C2×D4—834no—
1515C2×D4—832no—
1516C2×D4—834no—
1517C2×D4—834no—
1518C2×D4—832no—
1519C2×D4—834no—
1520C2×D4—834no—
1521C2×D4—834no—
1522C2×D4—834no—
1523C2×D4C23×D8312yes—
1524C2×D4C23×D8314yes—
1525C2×D4C23×D8314yes—
1526C22×C4—3328no—
1527C22×C4—3328no—
1528C22×C4—3322no—
1529C22×C4—3324no—
1530C22×C4—831no—
1531C22×C4—832no—
1532C22×C4—834no—
1533C22×C4—834no—
1534C22×C4—832no—
1535C22×C4—832no—
1536C22×C4—832no—
1537C22×C4—834no—
1538C22×C4—834no—
1539C22×C4—834no—
1540C22×C4—834no—
1541C22×C4—834no—
1542C22×C4—834no—
1543C22×C4—834no—
1544C22×C4—834no—
1545C22×C4—834no—
1546C22×C4—834no—
1547C22×C4—834no—
1548C22×C4—832no—
1549C22×C4—832no—
1550C22×C4—834no—
1551C22×C4—832no—
1552C22×C4—834no—
1553C22×C4—834no—
1554C22×C4C23×D8311yescharacteristic
1555C22×C4C23×D8314yes—
1556C22×C4C23×D8312yes—
1557C22×C4C23×D8314yes—
1558C22×C4C23×D8314yes—
1559C4⋊C4—834no—
1560C4⋊C4—834no—
1561C4⋊C4—834no—
1562C4⋊C4—834no—
1563C4⋊C4—834no—
1564C4⋊C4—834no—
1565C4⋊C4—834no—
1566C4⋊C4—834no—
1567C4⋊C4—834no—
1568C4⋊C4—834no—
1569C4⋊C4—834no—
1570C4⋊C4—834no—
1571C4⋊C4—834no—
1572C4⋊C4—834no—
1573C4⋊C4—834no—
1574C4⋊C4—834no—
1575C4⋊C4—832no—
1576C4⋊C4—834no—
1577C4⋊C4—834no—
1578C4⋊C4—832no—
1579C4⋊C4—834no—
1580C4⋊C4—834no—
1581C4⋊C4—834no—
1582C4⋊C4—834no—
1583C4⋊C4—834no—
1584C4⋊C4—834no—
1585C4⋊C4—834no—
1586C4⋊C4—834no—
1587C4⋊C4—834no—
1588C4⋊C4—834no—
1589C4⋊C4—834no—
1590C4⋊C4—834no—
1591C4⋊C4—834no—
1592C4⋊C4C23×D8314yes—
1593C4⋊C4C23×D8314yes—
1594C4⋊C4C23×D8314yes—
1595C4⋊C4C23×D8314yes—
1596C4⋊C4C23×D8314yes—
1597C4⋊C4C23×D8312yes—
1598C4⋊C4C23×D8314yes—
1599C4⋊C4C23×D8312yes—
1600C4⋊C4C23×D8314yes—
1601C4⋊C4C23×D8314yes—
1602C4⋊C4C23×D8314yes—
1603C4⋊C4C23×D8314yes—
1604C4⋊C4C23×D8314yes—
1605C4⋊C4C23×D8314yes—
1606C4⋊C4C23×D8314yes—
1607C4⋊C4C23×D8312yes—
1608C4⋊C4C23×D8312yes—
1609C22⋊C4—834no—
1610C22⋊C4—834no—
1611C22⋊C4—834no—
1612C22⋊C4—834no—
1613C22⋊C4—834no—
1614C22⋊C4—834no—
1615C22⋊C4—834no—
1616C22⋊C4—834no—
1617C22⋊C4—834no—
1618C22⋊C4—834no—
1619C22⋊C4—834no—
1620C22⋊C4—834no—
1621C22⋊C4—834no—
1622C22⋊C4—834no—
1623C22⋊C4—834no—
1624C22⋊C4—834no—
1625C22⋊C4—834no—
1626C22⋊C4—834no—
1627C22⋊C4—834no—
1628C22⋊C4—834no—
1629C22⋊C4—834no—
1630C22⋊C4—834no—
1631C22⋊C4—834no—
1632C22⋊C4—834no—
1633C22⋊C4—834no—
1634C22⋊C4—834no—
1635C22⋊C4—834no—
1636C22⋊C4—834no—
1637C22⋊C4—834no—
1638C22⋊C4—834no—
1639C22⋊C4—834no—
1640C22⋊C4—834no—
1641C22⋊C4—834no—
1642C22⋊C4—834no—
1643C22⋊C4—834no—
1644C22⋊C4—834no—
1645C22⋊C4—834no—
1646C22⋊C4C23×D8314yes—
1647C22⋊C4C23×D8314yes—
1648C22⋊C4C23×D8314yes—
1649C22⋊C4C23×D8314yes—
1650C22⋊C4C23×D8314yes—
1651C22⋊C4C23×D8314yes—
1652C22⋊C4C23×D8314yes—
1653C22⋊C4C23×D8314yes—
1654C22⋊C4C23×D8314yes—
1655C22⋊C4C23×D8314yes—
1656C42—832no—
1657C42—832no—
1658C42—832no—
1659C42—832no—
1660C42—832no—
1661C42—834no—
1662C42—834no—
1663C42—834no—
1664C42—834no—
1665C42—834no—
1666C42—834no—
1667C42—834no—
1668C42—834no—
1669C42—831no—
1670C42—834no—
1671C42—831no—
1672C42C23×D8311yescharacteristic
1673C42C23×D8311yescharacteristic
1674C42C23×D8314yes—
1675C42C23×D8314yes—
1676C42C23×D8314yes—
1677C42C23×D8312yes—
1678C42C23×D8314yes—
1679C23—3321no—
1680C23—3324no—
1681C23—3324no—
1682C23—3324no—
1683C23—3324no—
1684C23—3324no—
1685C23—832no—
1686C23—834no—
1687C23—834no—
1688C23—1664no—
1689C23—1668no—
1690C23C24×D8314yes—
1691C23C24×D8311yescharacteristic
1692Q8—42no—
1693Q8—44no—
1694Q8—44no—
1695Q8—3322no—
1696Q8—3324no—
1697Q8—3324no—
1698Q8—3324no—
1699Q8—3322no—
1700D4—44no—
1701D4—44no—
1702D4—42no—
1703D4—3324no—
1704D4—3324no—
1705D4—3322no—
1706D4—3324no—
1707D4—3324no—
1708D4—3324no—
1709D4—3322no—
1710D4—3324no—
1711D4—3324no—
1712D4—3324no—
1713D4—3324no—
1714D4—3324no—
1715D4—3324no—
1716D4—3324no—
1717D4—1668no—
1718D4—1668no—
1719D4—1668no—
1720D4—1668no—
1721C2×C4—28no—
1722C2×C4—22no—
1723C2×C4—42no—
1724C2×C4—44no—
1725C2×C4—44no—
1726C2×C4—3322no—
1727C2×C4—3322no—
1728C2×C4—3324no—
1729C2×C4—3324no—
1730C2×C4—3324no—
1731C2×C4—3324no—
1732C2×C4—3322no—
1733C2×C4—3324no—
1734C2×C4—3324no—
1735C2×C4—3324no—
1736C2×C4—3324no—
1737C2×C4—3324no—
1738C2×C4—3324no—
1739C2×C4—3324no—
1740C2×C4—3322no—
1741C2×C4—3321no—
1742C2×C4—3324no—
1743C2×C4—3324no—
1744C2×C4—832no—
1745C2×C4—832no—
1746C2×C4—834no—
1747C2×C4—832no—
1748C2×C4—834no—
1749C2×C4—834no—
1750C2×C4—834no—
1751C2×C4—1664no—
1752C2×C4—1664no—
1753C2×C4—1668no—
1754C2×C4—1664no—
1755C2×C4—1668no—
1756C2×C4—1668no—
1757C2×C4C24×D8314yes—
1758C2×C4C24×D8314yes—
1759C2×C4C24×D8312yes—
1760C2×C4C24×D8314yes—
1761C2×C4C24×D8312yes—
1762C2×C4C24×D8311yescharacteristic
1763C2×C4C24×D8314yes—
1764C2×C4C24×D8314yes—
1765C2×C4C24×D8311yescharacteristic
1766C22—22no—
1767C22—24no—
1768C22—24no—
1769C22—24no—
1770C22—21no—
1771C22—3324no—
1772C22—834no—
1773C22—6648no—
1774C22—6648no—
1775C22—1664no—
1776C22—1664no—
1777C22—1664no—
1778C22—1664no—
1779C22—1664no—
1780C22—1664no—
1781C22—1662no—
1782C22—1662no—
1783C22C25×D8311yescharacteristic
1784C4—24no—
1785C4—24no—
1786C4—24no—
1787C4—22no—
1788C4—22no—
1789C4—24no—
1790C4—24no—
1791C4—21no—
1792C4—1662no—
1793C4—1664no—
1794C4—1662no—
1795C4—1664no—
1796C4—1662no—
1797C4—1664no—
1798C4—1664no—
1799C4#1912853812yes—
1800C2—41no—
1801C2—44no—
1802C2—3324no—
1803C2—3324no—
1804C2—1664no—
1805C2#585×D8312yes—
1806C2C2×#1912853811yescharacteristic
subgroupG/H
centerC2×C4C24×D83
commutator, socle, cosocleC22×C83C26
FrattiniC22C25×D83
FittingC83×#3531C2
hypercenter#3531D83
hypocenterC83#62755
LCSG ▷ C22×C83 ▷ C83
UCSC1 ◁ C2×C4 ◁ #3531

Complements

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

NH ≅ G/Ntype
1. #24922144C2semidirect
2. #24922128C2semidirect
3. #24922078C2semidirect
4. #24922006C2semidirect
5. #24921920C2semidirect
6. #24921914C2semidirect
7. #24921821C2semidirect
8. #24921813C2semidirect
9. #24921674C2semidirect
10. #24921655C2semidirect
11. #24921610C2semidirect
12. #24921602C2semidirect
13. #24921069C2semidirect
14. #24921030C2semidirect
15. #24921019C2semidirect
16. #24920894C2semidirect
17. #24920873C2semidirect
18. #24920846C2semidirect
19. #24920760C2semidirect
20. #529×D83C2semidirect
21. C83×#3531C2semidirect
22. C83⋊#564C22semidirect
23. #19128455C22semidirect
24. #19128455C22semidirect
25. #19128453C22semidirect
26. #19128452C22semidirect
27. #19128450C22semidirect
28. #19128449C22semidirect
29. #19128449C22semidirect
30. #19128448C22semidirect
31. #19128447C22semidirect
32. #19128447C22semidirect
33. #19128445C22semidirect
34. #19128443C22semidirect
35. #19128442C22semidirect
36. #19128441C22semidirect
37. #19128439C22semidirect
38. #19128433C22semidirect
39. #19128425C22semidirect
40. #19128420C22semidirect
41. #19128417C22semidirect
42. #19128415C22semidirect
43. #19128412C22semidirect
44. #19128409C22semidirect
45. #19128407C22semidirect
46. #19128407C22semidirect
47. #19128404C22semidirect
48. #19128404C22semidirect
49. #19128404C22semidirect
50. #19128403C22semidirect
51. #19128402C22semidirect
52. #19128402C22semidirect
53. #19128396C22semidirect
54. #19128396C22semidirect
55. #19128393C22semidirect
56. #19128393C22semidirect
57. #19128389C22semidirect
58. #19128389C22semidirect
59. #19128389C22semidirect
60. #19128387C22semidirect
61. #19128387C22semidirect
62. #19128385C22semidirect
63. #19128379C22semidirect
64. #19128379C22semidirect
65. #19128378C22semidirect
66. #19128378C22semidirect
67. #19128378C22semidirect
68. #19128378C22semidirect
69. #19128376C22semidirect
70. #19128376C22semidirect
71. #19128376C22semidirect
72. #19128376C22semidirect
73. #19128374C22semidirect
74. #19128374C22semidirect
75. #19128354C22semidirect
76. #19128353C22semidirect
77. #19128348C22semidirect
78. #19128344C22semidirect
79. #19128344C22semidirect
80. #19128343C22semidirect
81. #19128343C22semidirect
82. #19128342C22semidirect
83. #19128342C22semidirect
84. #19128342C22semidirect
85. #19128335C22semidirect
86. #19128328C22semidirect
87. #19128326C22semidirect
88. #19128325C22semidirect
89. #19128324C22semidirect
90. #19128321C22semidirect
91. #19128321C22semidirect
92. #19128321C22semidirect
93. #19128319C22semidirect
94. #19128317C22semidirect
95. #19128315C22semidirect
96. #19128312C22semidirect
97. #19128311C22semidirect
98. #19128310C22semidirect
99. #19128310C22semidirect
100. #19128310C22semidirect
101. #19128308C22semidirect
102. #19128303C22semidirect
103. #19128301C22semidirect
104. #19128299C22semidirect
105. #19128299C22semidirect
106. #19128299C22semidirect
107. #19128299C22semidirect
108. #19128299C22semidirect
109. #19128297C22semidirect
110. #19128297C22semidirect
111. #19128297C22semidirect
112. #19128295C22semidirect
113. #19128295C22semidirect
114. #19128294C22semidirect
115. #19128292C22semidirect
116. #19128292C22semidirect
117. #19128292C22semidirect
118. #19128291C22semidirect
119. #19128290C22semidirect
120. #19128290C22semidirect
121. #19128290C22semidirect
122. #19128288C22semidirect
123. #19128287C22semidirect
125. #19128285C22semidirect
126. #19128285C22semidirect
127. #19128283C22semidirect
129. #19128276C22semidirect
130. #19128274C22semidirect
131. #19128262C22semidirect
132. #19128262C22semidirect
133. #19128259C22semidirect
134. #19128256C22semidirect
135. #19128255C22semidirect
136. #19128255C22semidirect
137. #19128252C22semidirect
138. #19128251C22semidirect
139. #19128248C22semidirect
140. #19128238C22semidirect
141. #19128238C22semidirect
142. #19128238C22semidirect
143. #19128238C22semidirect
144. #19128238C22semidirect
145. #19128238C22semidirect
146. #19128237C22semidirect
147. #19128237C22semidirect
148. #19128236C22semidirect
149. #19128236C22semidirect
150. #19128236C22semidirect
151. #19128235C22semidirect
152. #19128235C22semidirect
153. #19128234C22semidirect
154. #19128233C22semidirect
155. #19128233C22semidirect
156. #19128232C22semidirect
157. #19128231C22semidirect
158. #19128230C22semidirect
159. #19128229C22semidirect
160. #19128229C22semidirect
161. #19128229C22semidirect
162. #19128229C22semidirect
163. #19128229C22semidirect
164. #19128228C22semidirect
165. #126×D83C22semidirect
166. #125×D83C22semidirect
167. #124×D83C22semidirect
168. #19128214C22semidirect
169. #19128213C22semidirect
170. #19128213C22semidirect
171. #19128213C22semidirect
172. #19128210C22semidirect
173. #19128210C22semidirect
174. #19128210C22semidirect
175. #19128210C22semidirect
176. #123×D83C22semidirect
177. C22⋊Q8×D83C22semidirect
179. C4×#13050591C22semidirect
180. C4×#13050591C22semidirect
181. C4×#13050590C22semidirect
182. C4×#13050590C22semidirect
183. #19128169C22semidirect
184. C4×Q8×D83C22semidirect
185. C2×C4×D332C22semidirect
186. C4×D4×D83C22semidirect
187. C4×D4×D83C22semidirect
188. C4×D4×D83C22semidirect
189. #117×D83C22semidirect
190. #117×D83C22semidirect
191. C2×C42×D83C22semidirect
192. #564×C83C22semidirect
193. #563×C83C22semidirect
194. #563×C83C22semidirect
195. #563×C83C22semidirect
196. #562×C83C22semidirect
197. #562×C83C22semidirect
198. #533×C83C22semidirect
199. #533×C83C22semidirect
200. #529×C83C22semidirect
201. #529×C83C22semidirect
202. #529×C83C22semidirect
915. #3531D83semidirect
925. C83#62755semidirect
927. #564C2×D83semidirect
933. #563C2×D83semidirect
934. #563C2×D83semidirect
935. #563C2×D83semidirect
942. #562C2×D83semidirect
943. #562C2×D83semidirect
1047. #533C2×D83semidirect
1048. #533C2×D83semidirect
1077. #529C2×D83semidirect
1078. #529C2×D83semidirect
1079. #529C2×D83semidirect

Maximal subgroups

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

subgroupindex
#249221442
#249221282
#249220782
#249220062
#249219202
#249219142
#249218212
#249218132
#249216742
#249216552
#249216102
#249216022
#249210692
#249210302
#249210192
#249208942
#249208732
#249208462
#249207602
#529×D832
C83×#35312
#6275583