Finite Group Databasebeta

← #36312991

Subgroups — #36312991

Order 21248.

7210 conjugacy classes of subgroups.

The subgroup lattice has 1522 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#24921387C211yesmaximal, characteristic, complemented
2#24921385C211yesmaximal, characteristic, complemented
3#24921383C211yesmaximal, characteristic, complemented
4#24921372C212yesmaximal, complemented
5#24921366C212yesmaximal, complemented
6#24921352C214yesmaximal, complemented
7#24921345C212yesmaximal, complemented
8#24921335C212yesmaximal, complemented
9#24921322C214yesmaximal, complemented
10#24921309C214yesmaximal, complemented
11#24921296C218yesmaximal, complemented
12#24921057C218yesmaximal, complemented
13#24921022C214yesmaximal, complemented
14#24921016C214yesmaximal, complemented
15#24920854C212yesmaximal, complemented
16#24920847C212yesmaximal, complemented
17#24920791C212yesmaximal, complemented
18#24920757C214yesmaximal, complemented
19C2×#19128257C211yesmaximal, characteristic, complemented
20#532×D83C211yesmaximal, characteristic, complemented
21#24920663C212yesmaximal, complemented
22C4×#41×D83C211yesmaximal, characteristic, complemented
23C83×#3512C211yesmaximal, characteristic, complemented
24C2×#41×D83C2211yescharacteristic
25C2×#41×D83C2212yes—
26#19128435C2218yescomplemented
27#19128435C2218yescomplemented
28#19128434C2218yescomplemented
29#19128428C2218yescomplemented
30#19128422C2214yescomplemented
31#19128419C2218yescomplemented
32#19128419C2214yescomplemented
33#19128418C2218yescomplemented
34#19128418C2218yescomplemented
35#19128415C2214yescomplemented
36#19128414C2214yescomplemented
37#19128409C2214yescomplemented
38#19128406C2214yescomplemented
39#19128404C2214yescomplemented
40#19128401C2214yescomplemented
41#19128400C2218yescomplemented
42#19128400C2218yescomplemented
43#19128399C2218yescomplemented
44#19128397C2214yescomplemented
45#19128394C2218yescomplemented
46#19128394C2218yescomplemented
47#19128392C2214yescomplemented
48#19128391C2214yescomplemented
49#19128389C2214yescomplemented
50#19128387C2218yescomplemented
51#19128383C2218yescomplemented
52#19128380C2218yescomplemented
53#19128379C2218yescomplemented
54#19128376C2218yescomplemented
55#19128375C2218yescomplemented
56#19128369C2218yescomplemented
57#19128360C2218yescomplemented
58#19128357C2218yescomplemented
59#19128352C2214yescomplemented
60#19128351C2214yescomplemented
61#19128343C2218yescomplemented
62#19128340C2218yescomplemented
63#19128324C2214yescomplemented
64#19128323C2214yescomplemented
65#19128318C2214yescomplemented
66#19128316C2214yescomplemented
67#19128314C2212yescomplemented
68#19128313C2212yescomplemented
69#19128312C2212yescomplemented
70#19128307C2212yescomplemented
71#19128306C2212yescomplemented
72#19128305C2212yescomplemented
73#19128299C2218yescomplemented
74#19128294C2218yescomplemented
75#19128290C2218yescomplemented
76#19128283C2218yescomplemented
77#19128282C2212yescomplemented
78#19128279C2212yescomplemented
79#19128279C2212yescomplemented
80#19128274C2214yes—
81#19128274C2214yescomplemented
82#19128267C2214yes—
83#19128267C2214yescomplemented
84#19128259C2218yes—
85#19128257C2212yescomplemented
86#19128257C2212yescomplemented
87#19128257C2212yescomplemented
88#19128257C2212yescomplemented
89#19128257C2214yescomplemented
90#19128257C2214yescomplemented
91#19128255C2214yescomplemented
92#19128253C2214yescomplemented
93#19128252C2211yescharacteristic
94#19128251C2211yescharacteristic, complemented
95#19128250C2212yes—
96#19128249C2211yescharacteristic
97#19128248C2214yes—
98#19128248C2214yescomplemented
99#19128247C2212yescomplemented
100#19128246C2214yescomplemented
101#19128246C2214yescomplemented
102#19128246C2218yescomplemented
103C2×#14581791C2212yescomplemented
104C4⋊Q8×D83C2211yescharacteristic, complemented
105#127×D83C2211yescharacteristic, complemented
106#19128236C2214yescomplemented
107#19128236C2218yescomplemented
108#19128235C2214yescomplemented
109#19128234C2218yescomplemented
110#19128234C2218yescomplemented
111#19128234C2218yescomplemented
112#19128232C2218yescomplemented
113#19128230C2214yescomplemented
114#19128229C2218yescomplemented
115#19128228C2218yescomplemented
116#19128228C2218yescomplemented
117C2×#14581784C2211yescharacteristic, complemented
118#124×D83C2212yescomplemented
119#19128214C2214yes—
120#19128214C2214yescomplemented
121#19128211C2214yes—
122#19128211C2214yescomplemented
123#19128210C2218yescomplemented
124#19128209C2218yescomplemented
125C2×#14581770C2214yes—
126#121×D83C2214yes—
127#19128184C2212yescomplemented
128#19128182C2212yescomplemented
129#19128182C2214yescomplemented
130#19128181C2212yescomplemented
131#19128181C2214yescomplemented
132#19128177C2214yescomplemented
133#19128173C2218yes—
134#19128173C2214yescomplemented
135#41×Dic83C2211yescharacteristic, complemented
136C4×#13050591C2212yes—
137C4×#13050591C2214yescomplemented
138C4×#13050590C2212yes—
139C4×#13050590C2211yescharacteristic, complemented
140#19128169C2212yes—
141#19128169C2211yescharacteristic, complemented
142#19128169C2218yescomplemented
143C4×#13050589C2212yes—
144C4×#13050589C2214yescomplemented
145C4×#13050589C2214yescomplemented
146C4×#13050589C2218yescomplemented
147C4×#13050589C2218yescomplemented
148C2×#14581757C2214yescomplemented
149C4×Q8×D83C2212yescomplemented
150C4×D4×D83C2214yes—
151C4×D4×D83C2212yescomplemented
152C4×D4×D83C2214yescomplemented
153C2×#14581750C2212yes—
154C2×#14581750C2214yescomplemented
155#117×D83C2211yescharacteristic
156#117×D83C2212yescomplemented
157#117×D83C2214yescomplemented
158C2×C42×D83C2211yescharacteristic
159C2×C42×D83C2212yescomplemented
160#553×C83C2214yescomplemented
161#553×C83C2218yescomplemented
162#552×C83C2214yescomplemented
163#541×C83C2212yescomplemented
164#540×C83C2212yescomplemented
165#537×C83C2212yescomplemented
166#532×C83C2211yescharacteristic, complemented
167#529×C83C2214yescomplemented
168C2×#125×C83C2211yescharacteristic, complemented
169#520×C83C2212yescomplemented
170C4×#41×C83C2211yescharacteristic, complemented
171C2×#13050591C2311yescharacteristic
172C2×#13050591C2312yes—
173C2×#13050590C2312yes—
174C2×#13050590C2311yescharacteristic
175C2×#13050590C2312yes—
176C2×#13050590C2314yes—
177C2×#13050590C2318yes—
178C2×#13050589C2311yescharacteristic
179C2×#13050589C2312yes—
180C2×#13050589C2312yes—
181C2×#13050589C2314yes—
182C2×#13050589C2318yes—
183#41×D83—28no—
184#41×D83—216no—
185C22×Dic166C2314yes—
186C2×Q8×D83C2311yescharacteristic
187C2×Q8×D83C2312yes—
188C2×D4×D83C2312yes—
189C2×D4×D83C2311yescharacteristic
190C2×D4×D83C2314yes—
191C2×D4×D83C2312yes—
192C2×D4×D83C2314yes—
193C22×C4×D83C2312yes—
194C22×C4×D83C2314yes—
195C22×C4×D83C2312yes—
196C22×C4×D83C2314yes—
197C22×C4×D83C2311yescharacteristic
198#14581792C2311yescharacteristic
199#14581791C2314yes—
200#14581791C2314yes—
201#14581791C2314yes—
202#14581791C2314yes—
203#14581791C2318yes—
204#14581791C2314yes—
205#14581790C2312yes—
206#14581789C2311yescharacteristic
207#14581788C2318yes—
208#14581788C2314yes—
209#14581788C2312yes—
210#14581787C2318yes—
211#14581787C2318yes—
212#14581787C2318yes—
213#14581787C2318yes—
214#14581786C2318yes—
215#14581786C2318yes—
216#14581785C2318yes—
217#14581785C2318yes—
218#14581785C2318yes—
219#14581785C2318yes—
220#14581784C2314yes—
221#14581784C2312yes—
222#14581784C2312yes—
223#14581783C2318yes—
224#14581782C2318yes—
225#14581782C2318yes—
226#14581782C2318yes—
227#14581782C2318yes—
228#14581781C2312yes—
229#14581780C2318yes—
230#14581780C2312yes—
231#14581779C2318yes—
232#14581779C2312yes—
233#14581778C2318yes—
234#14581778C2318yes—
235#14581778C2318yes—
236#14581778C2318yes—
237#14581778C2314yes—
238#14581778C2318yes—
239#14581778C2318yes—
240#14581778C2314yes—
241#14581777C2318yes—
242#14581777C2318yes—
243#14581777C2318yes—
244#14581777C2318yes—
245#14581777C2318yes—
246#14581777C2318yes—
247#14581775C2318yes—
248#14581775C2318yes—
249#14581774C2318yes—
250#14581774C2318yes—
251#14581774C2318yes—
252#14581774C2318yes—
253#14581773C2318yes—
254#14581773C2318yes—
255#14581772C2318yes—
256#14581772C2314yes—
257#14581772C2314yes—
258#14581771C2318yes—
259#14581771C2314yes—
260#14581771C2314yes—
261#14581770C2318yes—
262#14581770C2318yes—
263#14581770C2318yes—
264#14581770C2318yes—
265#14581770C2318yes—
266#14581770C2318yes—
267#14581769C2318yes—
268#14581769C2318yes—
269#14581768C2314yes—
270#14581768C2314yes—
271#14581767C2314yes—
272#14581767C2318yes—
273#14581767C2314yes—
274#14581767C2314yes—
275#14581766C2314yes—
276#14581766C2314yes—
277#14581766C2318yes—
278#14581766C2314yes—
279#14581765C2318yes—
280#14581765C2318yes—
281#14581765C2314yes—
282#14581765C2314yes—
283#14581764C2318yes—
284#14581764C2318yes—
285#14581764C2314yes—
286#14581764C2318yes—
287#14581764C2314yes—
288#14581764C2318yes—
289#14581763C2314yes—
290#14581763C2314yes—
291#14581763C2314yes—
292#14581762C2318yes—
293#14581762C2318yes—
294#14581760C2318yes—
295#14581760C2318yes—
296Q8×Dic83C2314yes—
297Q8×Dic83C2312yes—
298C4×Dic166C2318yes—
299C4×Dic166C2312yes—
300C4×Dic166C2314yes—
301C4×Dic166C2318yes—
302C4×Dic166C2314yes—
303#14581757C2318yes—
304#14581757C2318yes—
305#14581757C2312yes—
306#14581757C2318yes—
307#14581757C2318yes—
308#14581757C2314yes—
309#14581757C2318yes—
310#14581757C2318yes—
311#14581757C2314yes—
312C4×D332C2314yes—
313C4×D332C2314yes—
314C4×D332C2314yes—
315C4×D332C2312yes—
316C4×D332C2318yes—
317D4×Dic83C2312yes—
318D4×Dic83C2314yes—
319D4×Dic83C2318yes—
320D4×Dic83C2314yes—
321D4×Dic83C2314yes—
322D4×Dic83C2318yes—
323#14581754C2314yes—
324#14581754C2314yes—
325#14581754C2312yes—
326#14581754C2318yes—
327#14581754C2314yes—
328#14581754C2318yes—
329#14581754C2318yes—
330C4×C22⋊D83C2318yes—
331C4×C22⋊D83C2314yes—
332C4×C22⋊D83C2314yes—
333C4×C22⋊D83C2318yes—
334C4×C22⋊D83C2318yes—
335C4×C22⋊D83C2314yes—
336C4×C22⋊D83C2318yes—
337C4×C22⋊D83C2314yes—
338C4×C22⋊D83C2314yes—
339C4×C22⋊D83C2318yes—
340(C22⋊D83)⋊C4C2314yes—
341(C22⋊D83)⋊C4C2318yes—
342(C22⋊D83)⋊C4C2314yes—
343(C22⋊D83)⋊C4C2318yes—
344(C22⋊D83)⋊C4C2314yes—
345(C22⋊D83)⋊C4C2318yes—
346(C22⋊D83)⋊C4C2318yes—
347(C22⋊D83)⋊C4C2314yes—
348(C22⋊D83)⋊C4C2314yes—
349(C22⋊D83)⋊C4C2318yes—
350(C22⋊D83)⋊C4C2318yes—
351(C22⋊D83)⋊C4C2318yes—
352#14581751C2312yes—
353#14581751C2314yes—
354#14581751C2311yescharacteristic
355#14581750C2318yes—
356#14581750C2318yes—
357#14581750C2314yes—
358#14581750C2314yes—
359#14581750C2312yes—
360#14581750C2314yes—
361#14581750C2314yes—
362#14581750C2314yes—
363#14581750C2314yes—
364#14581750C2314yes—
365#14581750C2318yes—
366#14581749C2312yes—
367#14581749C2318yes—
368#14581749C2318yes—
369#14581749C2318yes—
370#14581749C2312yes—
371#14581749C2312yes—
372#14581748C2318yes—
373#14581748C2318yes—
374#14581748C2312yes—
375#14581748C2314yes—
376#14581748C2318yes—
377C2×C4⋊Dic83C2314yes—
378C2×C4⋊Dic83C2312yes—
379C2×Dic83⋊C4C2314yes—
380C2×Dic83⋊C4C2314yes—
381C4⋊C4×D83C2314yes—
382C4⋊C4×D83C2314yes—
383C4⋊C4×D83C2314yes—
384C4⋊C4×D83C2312yes—
385C4⋊C4×D83C2314yes—
386C2×(C2×D83)⋊C4C2318yes—
387C2×(C2×D83)⋊C4C2314yes—
388C22⋊C4×D83C2318yes—
389C22⋊C4×D83C2314yes—
390C22⋊C4×D83C2314yes—
391C22⋊C4×D83C2312yes—
392C22⋊C4×D83C2314yes—
393C2×C4×Dic83C2312yes—
394C2×C4×Dic83C2311yescharacteristic
395C2×C4×Dic83C2314yes—
396C2×C4×Dic83C2312yes—
397C2×C4×Dic83C2314yes—
398C2×C4×Dic83C2318yes—
399C42×D83C2311yescharacteristic
400C42×D83C2311yescharacteristic
401C42×D83C2312yes—
402C42×D83C2312yes—
403C42×D83C2311yescharacteristic
404C42×D83C2311yescharacteristic
405C42×D83C2312yes—
406C42×D83C2314yes—
407C42×D83C2314yes—
408C42×D83C2312yes—
409C42×D83C2312yes—
410C42×D83C2318yes—
411C2×#41×C83C2311yescharacteristic
412C2×#41×C83C2312yes—
413C4⋊Q8×C83C2311yescharacteristic
414#127×C83C2311yescharacteristic
415#126×C83C2318yes—
416#126×C83C2318yes—
417#125×C83C2318yes—
418#125×C83C2312yes—
419#125×C83C2314yes—
420#125×C83C2312yes—
421#124×C83C2312yes—
422#123×C83C2318yes—
423#123×C83C2318yes—
424C22⋊Q8×C83C2314yes—
425C22⋊Q8×C83C2314yes—
426#121×C83C2318yes—
427#121×C83C2314yes—
428#121×C83C2318yes—
429#121×C83C2314yes—
430#121×C83C2314yes—
431C4×Q8×C83C2314yes—
432C4×Q8×C83C2312yes—
433C4×D4×C83C2318yes—
434C4×D4×C83C2314yes—
435C4×D4×C83C2312yes—
436C4×D4×C83C2314yes—
437C4×D4×C83C2318yes—
438C4×D4×C83C2314yes—
439#117×C83C2311yescharacteristic
440#117×C83C2312yes—
441#117×C83C2318yes—
442#117×C83C2314yes—
443C2×C4⋊C4×C83C2314yes—
444C2×C4⋊C4×C83C2312yes—
445C2×C4⋊C4×C83C2314yes—
446C2×C42×C83C2311yescharacteristic
447C2×C42×C83C2312yes—
448C23×D83C2412yes—
449C23×D83C2414yes—
450C23×D83C2411yescharacteristic
451#13050591—24no—
452#13050591—28no—
453#13050590—24no—
454#13050590—28no—
455#13050590—28no—
456#13050590—216no—
457#13050590—416no—
458#13050589—28no—
459#13050589—216no—
460#13050589—24no—
461#13050589—28no—
462#13050589—416no—
463C2×Dic166—48no—
464C2×Dic166C2418yes—
465C2×Dic166C2411yescharacteristic
466C2×Dic166C2412yes—
467C2×Dic166C2414yes—
468C2×Dic166C2412yes—
469C2×Dic166C2418yes—
470Q8×D83—28no—
471Q8×D83—24no—
472C2×D332C2412yes—
473C2×D332C2414yes—
474C2×D332C2411yescharacteristic
475C2×D332C2412yes—
476C2×D332C2418yes—
477C2×D332C2414yes—
478C2×C22⋊D83C2412yes—
479C2×C22⋊D83C2414yes—
480C2×C22⋊D83C2414yes—
481C2×C22⋊D83C2412yes—
482C2×C22⋊D83C2414yes—
483C2×C22⋊D83C2414yes—
484C2×C22⋊D83C2414yes—
485C2×C22⋊D83C2412yes—
486C2×C22⋊D83C2418yes—
487C2×C22⋊D83C2418yes—
488D4×D83—28no—
489D4×D83—216no—
490D4×D83—28no—
491D4×D83—24no—
492D4×D83—48no—
493C22×Dic83C2412yes—
494C22×Dic83C2414yes—
495C22×Dic83C2412yes—
496C22×Dic83C2414yes—
497C22×Dic83C2414yes—
498C22×Dic83C2418yes—
499C22×Dic83C2411yescharacteristic
500C2×C4×D83—216no—
501C2×C4×D83—28no—
502C2×C4×D83—44no—
503C2×C4×D83—48no—
504C2×C4×D83#4118yescomplemented
505C2×C4×D83C2412yes—
506C2×C4×D83C2414yes—
507C2×C4×D83C2412yes—
508C2×C4×D83C2414yes—
509C2×C4×D83C2412yes—
510C2×C4×D83C2412yes—
511C2×C4×D83C2414yes—
512C2×C4×D83C2412yes—
513C2×C4×D83C2414yes—
514C2×C4×D83C2412yes—
515C2×C4×D83C2418yes—
516C2×C4×D83C2418yes—
517C2×C4×D83C2412yes—
518C2×C4×D83C2414yes—
519C2×C4×D83C2414yes—
520C2×C4×D83C2411yescharacteristic
521C2×C4×D83C2411yescharacteristic
522C2×C4×D83C2411yescharacteristic
523C2×C4×D83C2411yescharacteristic
524C4⋊Dic83C2414yes—
525C4⋊Dic83C2414yes—
526C4⋊Dic83C2414yes—
527C4⋊Dic83C2418yes—
528C4⋊Dic83C2414yes—
529C4⋊Dic83C2418yes—
530C4⋊Dic83C2412yes—
531Dic83⋊C4C2414yes—
532Dic83⋊C4C2418yes—
533Dic83⋊C4C2414yes—
534Dic83⋊C4C2418yes—
535Dic83⋊C4C2418yes—
536Dic83⋊C4C2418yes—
537Dic83⋊C4C2418yes—
538Dic83⋊C4C2414yes—
539Dic83⋊C4C2418yes—
540Dic83⋊C4C2418yes—
541Dic83⋊C4C2418yes—
542Dic83⋊C4C2414yes—
543Dic83⋊C4C2414yes—
544C22⋊Dic83C2418yes—
545C22⋊Dic83C2418yes—
546C22⋊Dic83C2414yes—
547C22⋊Dic83C2414yes—
548C22⋊Dic83C2418yes—
549C22⋊Dic83C2414yes—
550C22⋊Dic83C2412yes—
551(C2×D83)⋊C4C2418yes—
552(C2×D83)⋊C4C2418yes—
553(C2×D83)⋊C4C2418yes—
554(C2×D83)⋊C4C2418yes—
555(C2×D83)⋊C4C2418yes—
556(C2×D83)⋊C4C2418yes—
557(C2×D83)⋊C4C2414yes—
558(C2×D83)⋊C4C2414yes—
559(C2×D83)⋊C4C2414yes—
560(C2×D83)⋊C4C2418yes—
561(C2×D83)⋊C4C2418yes—
562(C2×D83)⋊C4C2414yes—
563(C2×D83)⋊C4C2414yes—
564(C2×D83)⋊C4C2414yes—
565(C2×D83)⋊C4C2414yes—
566C4×Dic83C2412yes—
567C4×Dic83C2414yes—
568C4×Dic83C2414yes—
569C4×Dic83C2418yes—
570C4×Dic83C2418yes—
571C4×Dic83C2418yes—
572C4×Dic83C2411yescharacteristic
573C4×Dic83C2418yes—
574C4×Dic83C2414yes—
575C4×Dic83C2411yescharacteristic
576C4×Dic83C2412yes—
577C4×Dic83C2412yes—
578C4×Dic83C2414yes—
579C4×Dic83C2412yes—
580C4×Dic83C2412yes—
581C4×Dic83C2412yes—
582C4×Dic83C2418yes—
583#41×C83—24no—
584#41×C83—28no—
585C2×Q8×C83C2411yescharacteristic
586C2×Q8×C83C2412yes—
587C2×D4×C83C2411yescharacteristic
588C2×D4×C83C2412yes—
589C2×D4×C83C2414yes—
590C2×D4×C83C2412yes—
591C2×D4×C83C2418yes—
592C2×D4×C83C2414yes—
593C22×C4×C83C2412yes—
594C22×C4×C83C2414yes—
595C22×C4×C83C2412yes—
596C22×C4×C83C2414yes—
597C22×C4×C83C2418yes—
598C22×C4×C83C2414yes—
599C22×C4×C83C2411yescharacteristic
600C4⋊C4×C83C2418yes—
601C4⋊C4×C83C2414yes—
602C4⋊C4×C83C2414yes—
603C4⋊C4×C83C2414yes—
604C4⋊C4×C83C2418yes—
605C4⋊C4×C83C2418yes—
606C4⋊C4×C83C2418yes—
607C4⋊C4×C83C2414yes—
608C4⋊C4×C83C2412yes—
609C22⋊C4×C83C2418yes—
610C22⋊C4×C83C2418yes—
611C22⋊C4×C83C2414yes—
612C22⋊C4×C83C2414yes—
613C22⋊C4×C83C2418yes—
614C22⋊C4×C83C2414yes—
615C22⋊C4×C83C2412yes—
616C42×C83C2411yescharacteristic
617C42×C83C2418yes—
618C42×C83C2411yescharacteristic
619C42×C83C2412yes—
620C42×C83C2414yes—
621C42×C83C2412yes—
622C23×C83C2512yes—
623C23×C83C2514yes—
624C23×C83C2511yescharacteristic
625C22×D83—24no—
626C22×D83—28no—
627C22×D83—42no—
628C22×D83—44no—
629C22×D83—44no—
630C22×D83—44no—
631C22×D83C2×#4114yes—
632C22×D83C2512yes—
633C22×D83C2514yes—
634C22×D83C2511yescharacteristic
635C22×D83C2511yescharacteristic
636Q8×C83—24no—
637Q8×C83—22no—
638D4×C83—24no—
639D4×C83—28no—
640D4×C83—24no—
641D4×C83—22no—
642D4×C83—44no—
643D4×C83—48no—
644C2×C4×C83—24no—
645C2×C4×C83—28no—
646C2×C4×C83—44no—
647C2×C4×C83—42no—
648C2×C4×C83—44no—
649C2×C4×C83—48no—
650C2×C4×C83C2×#4114yes—
651C2×C4×C83C2512yes—
652C2×C4×C83C2514yes—
653C2×C4×C83C2514yes—
654C2×C4×C83C2512yes—
655C2×C4×C83C2512yes—
656C2×C4×C83C2518yes—
657C2×C4×C83C2511yescharacteristic
658C2×C4×C83C2511yescharacteristic
659C22⋊D83—24no—
660C22⋊D83—28no—
661C22⋊D83—24no—
662C22⋊D83—28no—
663C22⋊D83—24no—
664C22⋊D83—28no—
665C22⋊D83—28no—
666C22⋊D83—28no—
667C22⋊D83—48no—
668C22⋊D83—48no—
669C2×Dic83—24no—
670C2×Dic83—28no—
671C2×Dic83—24no—
672C2×Dic83—28no—
673C2×Dic83—44no—
674C2×Dic83—48no—
675C2×Dic83C2×#4114yes—
676C2×Dic83C2514yes—
677C2×Dic83C2512yes—
678C2×Dic83C2518yes—
679C2×Dic83C2512yes—
680C2×Dic83C2514yes—
681C2×Dic83C2511yescharacteristic
682C2×Dic83C2511yescharacteristic
683C2×Dic83C2512yes—
684D332—24no—
685D332—28no—
686D332—24no—
687D332—22no—
688D332—44no—
689D332—48no—
690C4×D83—28no—
691C4×D83—24no—
692C4×D83—24no—
693C4×D83—28no—
694C4×D83—24no—
695C4×D83—28no—
696C4×D83—24no—
697C4×D83—24no—
698C4×D83—28no—
699C4×D83—42no—
700C4×D83—42no—
701C4×D83—44no—
702C4×D83—44no—
703C4×D83—48no—
704C4×D83—48no—
705C4×D83C2×#4114yes—
706C4×D83C2×#4114yes—
707C4×D83C2×#4114yes—
708C4×D83C2×#4114yes—
709Dic166—24no—
710Dic166—22no—
711Dic166—28no—
712Dic166—24no—
713Dic166—216no—
714Dic166—48no—
715C22×C83—22no—
716C22×C83—22no—
717C22×C83—24no—
718C22×C83—24no—
719C22×C83—24no—
720C22×C83—24no—
721C22×C83C22×#4112yes—
722C22×C83C2611yescharacteristic
723C2×D83—22no—
724C2×D83—22no—
725C2×D83—22no—
726C2×D83—24no—
727C2×D83—24no—
728C2×D83—24no—
729C2×D83—24no—
730C2×D83—44no—
731C2×D83—48no—
732C2×D83—88no—
733C2×D83C22×#4112yes—
734C2×D83C22×#4112yes—
735C4×C83—24no—
736C4×C83—22no—
737C4×C83—28no—
738C4×C83—22no—
739C4×C83—24no—
740C4×C83—22no—
741C4×C83C22×#4112yes—
742C4×C83C22×#4112yes—
743Dic83—24no—
744Dic83—22no—
745Dic83—28no—
746Dic83—22no—
747Dic83—24no—
748Dic83C22×#4112yes—
749Dic83C22×#4112yes—
750Dic83#58514yes—
751#62815—831nomaximal, Sylow
752C2×C83—22no—
753C2×C83—42no—
754C2×C83—44no—
755C2×C83C23×#4111yescharacteristic
756C2×C83C2×#58512yes—
757D83—22no—
758D83—22no—
759D83—42no—
760D83—44no—
761#3512—831no—
762#3512—831no—
763#3512—831no—
764#3512D8311yescharacteristic, complemented
765#3511—832no—
766#3511—832no—
767#3510—834no—
768#3509—832no—
769#3508—832no—
770#3507—834no—
771#3506—834no—
772#3505—838no—
773#3480—838no—
774#3475—834no—
775#3475—834no—
776#3455—832no—
777#3455—832no—
778#3449—832no—
779#3444—834no—
780C2×#533—831no—
781C2×#532—831no—
782#3428—832no—
783C2×C4×#41—831no—
784C83#6281511yescharacteristic, complemented, Sylow
785C22×#41—831no—
786C22×#41—832no—
787#559—838no—
788#559—838no—
789#559—838no—
790#557—838no—
791#556—838no—
792#556—838no—
793#556—834no—
794#556—834no—
795#556—838no—
796#555—834no—
797#555—834no—
798#554—834no—
799#554—834no—
800#553—834no—
801#553—838no—
802#553—838no—
803#553—834no—
804#553—838no—
805#553—838no—
806#553—834no—
807#553—838no—
808#553C2×D8314yescomplemented
809#553C2×D8318yescomplemented
810#552—838no—
811#552—838no—
812#552—834no—
813#552—834no—
814#552—834no—
815#552C2×D8314yescomplemented
816#551—838no—
817#551—838no—
818#551—838no—
819#551—838no—
820#550—838no—
821#548—838no—
822#548—838no—
823#547—834no—
824#547—834no—
825#546—838no—
826#546—838no—
827#542—834no—
828#542—834no—
829#542—834no—
830#542—834no—
831#541—832no—
832#541—832no—
833#541—832no—
834#541C2×D8312yescomplemented
835#540—832no—
836#540—832no—
837#540—832no—
838#540C2×D8312yescomplemented
839#539—838no—
840#539—838no—
841#538—838no—
842#538—838no—
843#537—832no—
844#537—832no—
845#537—832no—
846#537C2×D8312yescomplemented
847#536—834no—
848#536—834no—
849#535—834no—
850#535—834no—
851#534—838no—
852#533—832no—
853#533—832no—
854#533—834no—
855#533—834no—
856#533—832no—
857#533—832no—
858#533—834no—
859#533—834no—
860#532—832no—
861#532—831no—
862#532—831no—
863#532—832no—
864#532—834no—
865#532—834no—
866#532—838no—
867#532—834no—
868#532—834no—
869#532—831no—
870#532C2×D8311yescharacteristic, complemented
871C2×C4⋊Q8—831no—
872C2×C4⋊Q8—832no—
873C2×#127—831no—
874#529—838no—
875#529—838no—
876#529—838no—
877#529—834no—
878#529—838no—
879#529—834no—
880#529—838no—
881#529—838no—
882#529—838no—
883#529—838no—
884#529—834no—
885#529C2×D8314yescomplemented
886C2×#125—831no—
887C2×#125C2×D8311yescharacteristic, complemented
888C2×#124—832no—
889#525—838no—
890#525—834no—
891#525—834no—
892#525—834no—
893#525—834no—
894#525—838no—
895C2×C22⋊Q8—834no—
896C2×#121—834no—
897#520—832no—
898#520—834no—
899#520—832no—
900#520—834no—
901#520—832no—
902#520C2×D8312yescomplemented
903#519—834no—
904#518—838no—
905#518—834no—
906C4×#41—831no—
907C4×#41—832no—
908C4×#41—834no—
909C4×#41—832no—
910C4×#41—834no—
911C4×#41—834no—
912C4×#41—838no—
913C4×#41—838no—
914C4×#41—832no—
915C4×#41—831no—
916C4×#41—838no—
917C4×#41—832no—
918C4×#41—831no—
919C4×#41C2×D8311yescharacteristic, complemented
920C2×C4×Q8—832no—
921C2×C4×Q8—834no—
922C2×C4×D4—834no—
923C2×C4×D4—832no—
924C2×C4×D4—834no—
925C2×#117—831no—
926C2×#117—832no—
927C2×#117—834no—
928C2×#117—832no—
929C2×#117—834no—
930C22×C42—831no—
931C22×C42—832no—
932C2×#41—831no—
933C2×#41—832no—
934C2×#41—838no—
935C2×#41—831no—
936C2×#41—832no—
937C2×#41—832no—
938C2×#41—834no—
939C2×#41—838no—
940C2×#41—832no—
941C2×#41—831no—
942C2×#41—834no—
943C2×#41—832no—
944C2×#41—1668no—
945C2×#41—16616no—
946C2×#41C22×D8311yescharacteristic
947C2×#41C22×D8312yes—
948C22×Q8—831no—
949C22×Q8—832no—
950C22×Q8—834no—
951C22×D4—834no—
952C22×D4—832no—
953C22×D4—831no—
954C22×D4—834no—
955C22×D4—832no—
956C23×C4—832no—
957C23×C4—834no—
958C23×C4—831no—
959C23×C4—834no—
960C23×C4—832no—
961C4⋊Q8—832no—
962C4⋊Q8—834no—
963C4⋊Q8—834no—
964C4⋊Q8—834no—
965C4⋊Q8—834no—
966C4⋊Q8—834no—
967C4⋊Q8—838no—
968C4⋊Q8—831no—
969C4⋊Q8C22×D8311yescharacteristic
970#127—832no—
971#127—834no—
972#127—838no—
973#127—831no—
974#127C22×D8311yescharacteristic
975#126—838no—
976#126—838no—
977#126—838no—
978#126—838no—
979#126—838no—
980#126—838no—
981#126—838no—
982#126—838no—
983#126—838no—
984#126—838no—
985#126C22×D8318yes—
986#126C22×D8318yes—
987#125—838no—
988#125—838no—
989#125—838no—
990#125—838no—
991#125—838no—
992#125—832no—
993#125—832no—
994#125—834no—
995#125C22×D8312yes—
996#125C22×D8312yes—
997#125C22×D8314yes—
998#125C22×D8318yes—
999#124—832no—
1000#124—832no—
1001#124—838no—
1002#124—834no—
1003#124—834no—
1004#124—838no—
1005#124—838no—
1006#124—838no—
1007#124—838no—
1008#124—838no—
1009#124—838no—
1010#124—832no—
1011#124—838no—
1012#124C22×D8312yes—
1013#123—838no—
1014#123—838no—
1015#123—838no—
1016#123—838no—
1017#123—838no—
1018#123—838no—
1019#123—838no—
1020#123—838no—
1021#123—838no—
1022#123—838no—
1023#123—838no—
1024#123—838no—
1025#123—838no—
1026#123—838no—
1027#123C22×D8318yes—
1028#123C22×D8318yes—
1029C22⋊Q8—834no—
1030C22⋊Q8—834no—
1031C22⋊Q8—834no—
1032C22⋊Q8—834no—
1033C22⋊Q8—838no—
1034C22⋊Q8—838no—
1035C22⋊Q8—838no—
1036C22⋊Q8—838no—
1037C22⋊Q8—838no—
1038C22⋊Q8—838no—
1039C22⋊Q8—838no—
1040C22⋊Q8—834no—
1041C22⋊Q8—834no—
1042C22⋊Q8—838no—
1043C22⋊Q8—838no—
1044C22⋊Q8—838no—
1045C22⋊Q8C22×D8314yes—
1046C22⋊Q8C22×D8314yes—
1047#121—834no—
1048#121—834no—
1049#121—834no—
1050#121—834no—
1051#121—834no—
1052#121—838no—
1053#121—838no—
1054#121—838no—
1055#121—838no—
1056#121—834no—
1057#121—834no—
1058#121—834no—
1059#121—838no—
1060#121—834no—
1061#121—834no—
1062#121—834no—
1063#121—838no—
1064#121—834no—
1065#121—834no—
1066#121—838no—
1067#121—838no—
1068#121C22×D8314yes—
1069#121C22×D8314yes—
1070#121C22×D8314yes—
1071#121C22×D8318yes—
1072#121C22×D8318yes—
1073#120—838no—
1074#120—838no—
1075#120—838no—
1076#120—838no—
1077C4×Q8—832no—
1078C4×Q8—834no—
1079C4×Q8—838no—
1080C4×Q8—832no—
1081C4×Q8—834no—
1082C4×Q8—838no—
1083C4×Q8—838no—
1084C4×Q8—838no—
1085C4×Q8—834no—
1086C4×Q8—838no—
1087C4×Q8—838no—
1088C4×Q8—832no—
1089C4×Q8—834no—
1090C4×Q8—834no—
1091C4×Q8—838no—
1092C4×Q8—838no—
1093C4×Q8C22×D8312yes—
1094C4×Q8C22×D8314yes—
1095C4×D4—832no—
1096C4×D4—834no—
1097C4×D4—834no—
1098C4×D4—834no—
1099C4×D4—838no—
1100C4×D4—838no—
1101C4×D4—834no—
1102C4×D4—834no—
1103C4×D4—834no—
1104C4×D4—834no—
1105C4×D4—834no—
1106C4×D4—838no—
1107C4×D4—838no—
1108C4×D4—838no—
1109C4×D4—838no—
1110C4×D4—838no—
1111C4×D4—834no—
1112C4×D4—832no—
1113C4×D4—834no—
1114C4×D4—838no—
1115C4×D4—834no—
1116C4×D4—838no—
1117C4×D4—838no—
1118C4×D4—834no—
1119C4×D4—834no—
1120C4×D4—834no—
1121C4×D4—834no—
1122C4×D4—834no—
1123C4×D4—838no—
1124C4×D4—838no—
1125C4×D4—838no—
1126C4×D4—838no—
1127C4×D4—838no—
1128C4×D4—838no—
1129C4×D4—838no—
1130C4×D4—834no—
1131C4×D4—832no—
1132C4×D4—834no—
1133C4×D4—838no—
1134C4×D4—834no—
1135C4×D4C22×D8314yes—
1136C4×D4C22×D8312yes—
1137C4×D4C22×D8314yes—
1138C4×D4C22×D8314yes—
1139C4×D4C22×D8318yes—
1140C4×D4C22×D8318yes—
1141#117—831no—
1142#117—832no—
1143#117—834no—
1144#117—832no—
1145#117—834no—
1146#117—834no—
1147#117—834no—
1148#117—838no—
1149#117—834no—
1150#117—838no—
1151#117—834no—
1152#117—834no—
1153#117—834no—
1154#117—838no—
1155#117—832no—
1156#117—838no—
1157#117—834no—
1158#117—838no—
1159#117—838no—
1160#117—832no—
1161#117—832no—
1162#117—832no—
1163#117—838no—
1164#117—838no—
1165#117—838no—
1166#117C22×D8311yescharacteristic
1167#117C22×D8312yes—
1168#117C22×D8314yes—
1169#117C22×D8318yes—
1170C2×C4⋊C4—832no—
1171C2×C4⋊C4—834no—
1172C2×C4⋊C4—834no—
1173C2×C4⋊C4—834no—
1174C2×C4⋊C4—832no—
1175C2×C4⋊C4—834no—
1176C2×C4⋊C4—834no—
1177C2×C4⋊C4—834no—
1178C2×C4⋊C4—834no—
1179C2×C4⋊C4C22×D8312yes—
1180C2×C4⋊C4C22×D8314yes—
1181C2×C4⋊C4C22×D8314yes—
1182C2×C22⋊C4—834no—
1183C2×C22⋊C4—838no—
1184C2×C22⋊C4—832no—
1185C2×C22⋊C4—834no—
1186C2×C22⋊C4—838no—
1187C2×C22⋊C4—834no—
1188C2×C22⋊C4—834no—
1189C2×C42—834no—
1190C2×C42—838no—
1191C2×C42—832no—
1192C2×C42—834no—
1193C2×C42—831no—
1194C2×C42—832no—
1195C2×C42—832no—
1196C2×C42—831no—
1197C2×C42—838no—
1198C2×C42—832no—
1199C2×C42—834no—
1200C2×C42—832no—
1201C2×C42—834no—
1202C2×C42—831no—
1203C2×C42—832no—
1204C2×C42—831no—
1205C2×C42—832no—
1206C2×C42—831no—
1207C2×C42C22×D8311yescharacteristic
1208C2×C42C22×D8312yes—
1209C24—831no—
1210C24—834no—
1211C24—832no—
1212#41—24no—
1213#41—28no—
1214#41—33216no—
1215#41—33216no—
1216#41—1668no—
1217#41—16616no—
1218#41—1668no—
1219#41—16616no—
1220#41—1664no—
1221#41—1668no—
1222#41—1664no—
1223#41—1668no—
1224#41—1664no—
1225#41—1668no—
1226C2×Q8—3328no—
1227C2×Q8—838no—
1228C2×Q8—831no—
1229C2×Q8—838no—
1230C2×Q8—832no—
1231C2×Q8—832no—
1232C2×Q8—834no—
1233C2×Q8—1668no—
1234C2×Q8—1664no—
1235C2×Q8C23×D8311yescharacteristic
1236C2×Q8C23×D8312yes—
1237C2×D4—3328no—
1238C2×D4—838no—
1239C2×D4—838no—
1240C2×D4—832no—
1241C2×D4—834no—
1242C2×D4—832no—
1243C2×D4—834no—
1244C2×D4—834no—
1245C2×D4—834no—
1246C2×D4—832no—
1247C2×D4—834no—
1248C2×D4—838no—
1249C2×D4—834no—
1250C2×D4—832no—
1251C2×D4—834no—
1252C2×D4—831no—
1253C2×D4—832no—
1254C2×D4—1668no—
1255C2×D4—1664no—
1256C2×D4—1668no—
1257C2×D4—16616no—
1258C2×D4C23×D8312yes—
1259C2×D4C23×D8314yes—
1260C2×D4C23×D8311yescharacteristic
1261C2×D4C23×D8312yes—
1262C2×D4C23×D8318yes—
1263C2×D4C23×D8314yes—
1264C22×C4—3324no—
1265C22×C4—3328no—
1266C22×C4—834no—
1267C22×C4—838no—
1268C22×C4—832no—
1269C22×C4—834no—
1270C22×C4—832no—
1271C22×C4—834no—
1272C22×C4—838no—
1273C22×C4—838no—
1274C22×C4—831no—
1275C22×C4—838no—
1276C22×C4—831no—
1277C22×C4—831no—
1278C22×C4—831no—
1279C22×C4—831no—
1280C22×C4—832no—
1281C22×C4—834no—
1282C22×C4—832no—
1283C22×C4—834no—
1284C22×C4—832no—
1285C22×C4—832no—
1286C22×C4—832no—
1287C22×C4—834no—
1288C22×C4—832no—
1289C22×C4—834no—
1290C22×C4—832no—
1291C22×C4—834no—
1292C22×C4—834no—
1293C22×C4—16616no—
1294C22×C4—1668no—
1295C22×C4C23×D8312yes—
1296C22×C4C23×D8314yes—
1297C22×C4C23×D8312yes—
1298C22×C4C23×D8314yes—
1299C22×C4C23×D8314yes—
1300C22×C4C23×D8318yes—
1301C22×C4C23×D8311yescharacteristic
1302C4⋊C4—832no—
1303C4⋊C4—834no—
1304C4⋊C4—834no—
1305C4⋊C4—838no—
1306C4⋊C4—834no—
1307C4⋊C4—834no—
1308C4⋊C4—834no—
1309C4⋊C4—834no—
1310C4⋊C4—834no—
1311C4⋊C4—838no—
1312C4⋊C4—838no—
1313C4⋊C4—838no—
1314C4⋊C4—838no—
1315C4⋊C4—834no—
1316C4⋊C4—834no—
1317C4⋊C4—838no—
1318C4⋊C4—838no—
1319C4⋊C4—838no—
1320C4⋊C4—838no—
1321C4⋊C4—838no—
1322C4⋊C4C23×D8312yes—
1323C4⋊C4C23×D8314yes—
1324C4⋊C4C23×D8314yes—
1325C4⋊C4C23×D8314yes—
1326C4⋊C4C23×D8314yes—
1327C4⋊C4C23×D8318yes—
1328C4⋊C4C23×D8318yes—
1329C4⋊C4C23×D8318yes—
1330C4⋊C4C23×D8318yes—
1331C22⋊C4—832no—
1332C22⋊C4—838no—
1333C22⋊C4—834no—
1334C22⋊C4—834no—
1335C22⋊C4—834no—
1336C22⋊C4—838no—
1337C22⋊C4—838no—
1338C22⋊C4—834no—
1339C22⋊C4—838no—
1340C22⋊C4—838no—
1341C22⋊C4—834no—
1342C22⋊C4—838no—
1343C22⋊C4—838no—
1344C22⋊C4—834no—
1345C22⋊C4—834no—
1346C22⋊C4—834no—
1347C22⋊C4—834no—
1348C22⋊C4—834no—
1349C22⋊C4—838no—
1350C22⋊C4—838no—
1351C22⋊C4—838no—
1352C22⋊C4—838no—
1353C22⋊C4C23×D8314yes—
1354C22⋊C4C23×D8312yes—
1355C22⋊C4C23×D8314yes—
1356C22⋊C4C23×D8318yes—
1357C22⋊C4C23×D8314yes—
1358C22⋊C4C23×D8318yes—
1359C22⋊C4C23×D8318yes—
1360C42—834no—
1361C42—832no—
1362C42—831no—
1363C42—832no—
1364C42—838no—
1365C42—832no—
1366C42—834no—
1367C42—831no—
1368C42—832no—
1369C42—834no—
1370C42—834no—
1371C42—832no—
1372C42—832no—
1373C42—838no—
1374C42—838no—
1375C42—838no—
1376C42—838no—
1377C42C23×D8311yescharacteristic
1378C42C23×D8312yes—
1379C42C23×D8314yes—
1380C42C23×D8311yescharacteristic
1381C42C23×D8312yes—
1382C42C23×D8318yes—
1383C23—3322no—
1384C23—3324no—
1385C23—3324no—
1386C23—3324no—
1387C23—834no—
1388C23—831no—
1389C23—831no—
1390C23—834no—
1391C23—832no—
1392C23—1664no—
1393C23—1668no—
1394C23C24×D8314yes—
1395C23C24×D8312yes—
1396C23C24×D8311yescharacteristic
1397Q8—22no—
1398Q8—24no—
1399Q8—3328no—
1400Q8—16616no—
1401Q8—1664no—
1402Q8—1668no—
1403Q8—1662no—
1404Q8—1664no—
1405D4—24no—
1406D4—28no—
1407D4—22no—
1408D4—24no—
1409D4—44no—
1410D4—48no—
1411D4—3324no—
1412D4—3328no—
1413D4—3328no—
1414D4—3328no—
1415D4—1664no—
1416D4—1668no—
1417D4—1668no—
1418D4—1668no—
1419D4—1664no—
1420D4—1668no—
1421D4—1664no—
1422D4—1668no—
1423D4—1664no—
1424D4—1668no—
1425D4—1662no—
1426D4—1664no—
1427C2×C4—28no—
1428C2×C4—24no—
1429C2×C4—44no—
1430C2×C4—42no—
1431C2×C4—44no—
1432C2×C4—48no—
1433C2×C4—3324no—
1434C2×C4—3324no—
1435C2×C4—3322no—
1436C2×C4—3322no—
1437C2×C4—3328no—
1438C2×C4—3328no—
1439C2×C4—3324no—
1440C2×C4—3328no—
1441C2×C4—834no—
1442C2×C4—831no—
1443C2×C4—831no—
1444C2×C4—832no—
1445C2×C4—834no—
1446C2×C4—834no—
1447C2×C4—834no—
1448C2×C4—834no—
1449C2×C4—834no—
1450C2×C4—832no—
1451C2×C4—832no—
1452C2×C4—834no—
1453C2×C4—838no—
1454C2×C4—1664no—
1455C2×C4—1664no—
1456C2×C4—1668no—
1457C2×C4—1664no—
1458C2×C4—1668no—
1459C2×C4—1668no—
1460C2×C4—1664no—
1461C2×C4—1664no—
1462C2×C4—1668no—
1463C2×C4—1664no—
1464C2×C4—1668no—
1465C2×C4—1668no—
1466C2×C4—1664no—
1467C2×C4#41×D8314yes—
1468C2×C4C24×D8314yes—
1469C2×C4C24×D8312yes—
1470C2×C4C24×D8318yes—
1471C2×C4C24×D8312yes—
1472C2×C4C24×D8314yes—
1473C2×C4C24×D8312yes—
1474C2×C4C24×D8311yescharacteristic
1475C2×C4C24×D8311yescharacteristic
1476C22—22no—
1477C22—22no—
1478C22—24no—
1479C22—24no—
1480C22—24no—
1481C22—24no—
1482C22—3324no—
1483C22—3328no—
1484C22—832no—
1485C22—832no—
1486C22—6648no—
1487C22—1662no—
1488C22—1664no—
1489C22—1664no—
1490C22—1664no—
1491C22—1664no—
1492C22—1662no—
1493C22—1662no—
1494C22C2×#41×D8312yes—
1495C22C25×D8311yescharacteristic
1496C4—24no—
1497C4—22no—
1498C4—22no—
1499C4—24no—
1500C4—28no—
1501C4—22no—
1502C4—832no—
1503C4—832no—
1504C4—834no—
1505C4—1662no—
1506C4—1664no—
1507C4—1664no—
1508C4—1668no—
1509C4—1662no—
1510C4C2×#41×D8312yes—
1511C4C2×#41×D8312yes—
1512C2—22no—
1513C2—42no—
1514C2—44no—
1515C2—3322no—
1516C2—3324no—
1517C2—1662no—
1518C2—1662no—
1519C2C22×#41×D8311yescharacteristic
1520C2#585×D8312yes—
subgroupG/H
center, FrattiniC22C25×D83
commutator, socle, cosocleC22×C83C26
FittingC83×#3512C2
hypercenter#3512D83
hypocenterC83#62815
LCSG ▷ C22×C83 ▷ C83
UCSC1 ◁ C22 ◁ #3512

Complements

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

NH ≅ G/Ntype
1. #24921387C2semidirect
2. #24921385C2semidirect
3. #24921383C2semidirect
4. #24921372C2semidirect
5. #24921366C2semidirect
6. #24921352C2semidirect
7. #24921345C2semidirect
8. #24921335C2semidirect
9. #24921322C2semidirect
10. #24921309C2semidirect
11. #24921296C2semidirect
12. #24921057C2semidirect
13. #24921022C2semidirect
14. #24921016C2semidirect
15. #24920854C2semidirect
16. #24920847C2semidirect
17. #24920791C2semidirect
18. #24920757C2semidirect
19. C2×#19128257C2semidirect
20. #532×D83C2semidirect
21. #24920663C2semidirect
22. C4×#41×D83C2semidirect
23. C83×#3512C2semidirect
26. #19128435C22semidirect
27. #19128435C22semidirect
28. #19128434C22semidirect
29. #19128428C22semidirect
30. #19128422C22semidirect
31. #19128419C22semidirect
32. #19128419C22semidirect
33. #19128418C22semidirect
34. #19128418C22semidirect
35. #19128415C22semidirect
36. #19128414C22semidirect
37. #19128409C22semidirect
38. #19128406C22semidirect
39. #19128404C22semidirect
40. #19128401C22semidirect
41. #19128400C22semidirect
42. #19128400C22semidirect
43. #19128399C22semidirect
44. #19128397C22semidirect
45. #19128394C22semidirect
46. #19128394C22semidirect
47. #19128392C22semidirect
48. #19128391C22semidirect
49. #19128389C22semidirect
50. #19128387C22semidirect
51. #19128383C22semidirect
52. #19128380C22semidirect
53. #19128379C22semidirect
54. #19128376C22semidirect
55. #19128375C22semidirect
56. #19128369C22semidirect
57. #19128360C22semidirect
58. #19128357C22semidirect
59. #19128352C22semidirect
60. #19128351C22semidirect
61. #19128343C22semidirect
62. #19128340C22semidirect
63. #19128324C22semidirect
64. #19128323C22semidirect
65. #19128318C22semidirect
66. #19128316C22semidirect
67. #19128314C22semidirect
68. #19128313C22semidirect
69. #19128312C22semidirect
70. #19128307C22semidirect
71. #19128306C22semidirect
72. #19128305C22semidirect
73. #19128299C22semidirect
74. #19128294C22semidirect
75. #19128290C22semidirect
76. #19128283C22semidirect
77. #19128282C22semidirect
78. #19128279C22semidirect
79. #19128279C22semidirect
81. #19128274C22semidirect
83. #19128267C22semidirect
85. #19128257C22semidirect
86. #19128257C22semidirect
87. #19128257C22semidirect
88. #19128257C22semidirect
89. #19128257C22semidirect
90. #19128257C22semidirect
91. #19128255C22semidirect
92. #19128253C22semidirect
94. #19128251C22semidirect
98. #19128248C22semidirect
99. #19128247C22semidirect
100. #19128246C22semidirect
101. #19128246C22semidirect
102. #19128246C22semidirect
103. C2×#14581791C22semidirect
104. C4⋊Q8×D83C22semidirect
105. #127×D83C22semidirect
106. #19128236C22semidirect
107. #19128236C22semidirect
108. #19128235C22semidirect
109. #19128234C22semidirect
110. #19128234C22semidirect
111. #19128234C22semidirect
112. #19128232C22semidirect
113. #19128230C22semidirect
114. #19128229C22semidirect
115. #19128228C22semidirect
116. #19128228C22semidirect
117. C2×#14581784C22semidirect
118. #124×D83C22semidirect
120. #19128214C22semidirect
122. #19128211C22semidirect
123. #19128210C22semidirect
124. #19128209C22semidirect
127. #19128184C22semidirect
128. #19128182C22semidirect
129. #19128182C22semidirect
130. #19128181C22semidirect
131. #19128181C22semidirect
132. #19128177C22semidirect
134. #19128173C22semidirect
135. #41×Dic83C22semidirect
137. C4×#13050591C22semidirect
139. C4×#13050590C22semidirect
141. #19128169C22semidirect
142. #19128169C22semidirect
144. C4×#13050589C22semidirect
145. C4×#13050589C22semidirect
146. C4×#13050589C22semidirect
147. C4×#13050589C22semidirect
148. C2×#14581757C22semidirect
149. C4×Q8×D83C22semidirect
151. C4×D4×D83C22semidirect
152. C4×D4×D83C22semidirect
154. C2×#14581750C22semidirect
156. #117×D83C22semidirect
157. #117×D83C22semidirect
159. C2×C42×D83C22semidirect
160. #553×C83C22semidirect
161. #553×C83C22semidirect
162. #552×C83C22semidirect
163. #541×C83C22semidirect
164. #540×C83C22semidirect
165. #537×C83C22semidirect
166. #532×C83C22semidirect
167. #529×C83C22semidirect
168. C2×#125×C83C22semidirect
169. #520×C83C22semidirect
170. C4×#41×C83C22semidirect
504. C2×C4×D83#41semidirect
764. #3512D83semidirect
784. C83#62815semidirect
808. #553C2×D83semidirect
809. #553C2×D83semidirect
815. #552C2×D83semidirect
834. #541C2×D83semidirect
838. #540C2×D83semidirect
846. #537C2×D83semidirect
870. #532C2×D83semidirect
885. #529C2×D83semidirect
887. C2×#125C2×D83semidirect
902. #520C2×D83semidirect
919. C4×#41C2×D83semidirect

Maximal subgroups

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

subgroupindex
#249213872
#249213852
#249213832
#249213722
#249213662
#249213522
#249213452
#249213352
#249213222
#249213092
#249212962
#249210572
#249210222
#249210162
#249208542
#249208472
#249207912
#249207572
C2×#191282572
#532×D832
#249206632
C4×#41×D832
C83×#35122
#6281583