Finite Group Databasebeta

← #36301607

Subgroups — #36301607

Order 21248.

1716 conjugacy classes of subgroups.

The subgroup lattice has 1668 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#24921407C211yesmaximal, characteristic, complemented
2#24920417C211yesmaximal, characteristic, complemented
3#24920334C211yesmaximal, characteristic, complemented
4#24920231C211yesmaximal, characteristic, complemented
5#24920123C211yesmaximal, characteristic, complemented
6#24920052C211yesmaximal, characteristic, complemented
7#24920023C211yesmaximal, characteristic, complemented
8#24920017C211yesmaximal, characteristic, complemented
9#24919987C211yesmaximal, characteristic, complemented
10#24919903C211yesmaximal, characteristic, complemented
11#24919859C211yesmaximal, characteristic, complemented
12#24919688C211yesmaximal, characteristic, complemented
13#24919673C211yesmaximal, characteristic, complemented
14#24919658C211yesmaximal, characteristic, complemented
15#24919613C211yesmaximal, characteristic, complemented
16#24919598C211yesmaximal, characteristic, complemented
17#24919292C211yesmaximal, characteristic, complemented
18#24918919C211yesmaximal, characteristic, complemented
19#24918874C211yesmaximal, characteristic, complemented
20#24918859C211yesmaximal, characteristic, complemented
21#24918761C211yesmaximal, characteristic, complemented
22#24918716C211yesmaximal, characteristic, complemented
23#24918642C211yesmaximal, characteristic, complemented
24#24917734C211yesmaximal, characteristic, complemented
25#24917641C211yesmaximal, characteristic, complemented
26#24917506C211yesmaximal, characteristic, complemented
27#24917310C211yesmaximal, characteristic, complemented
28#24917288C211yesmaximal, characteristic, complemented
29#24917256C211yesmaximal, characteristic, complemented
30#24916612C211yesmaximal, characteristic, complemented
31C83×#3565C211yesmaximal, characteristic, complemented
32#19128436C2211yescharacteristic
33#19128411C2211yescharacteristic
34#19128402—21no—
35#19128397C2211yescharacteristic
36#19128391C2211yescharacteristic
37#19128378—21no—
38#19128376—21no—
39#19128355C2211yescharacteristic
40#19128347C2211yescharacteristic
41#19128347C2211yescharacteristic
42#19128340—21no—
43D4×D332C2211yescharacteristic
44#19128322C2211yescharacteristic
45#19128306C2211yescharacteristic
46#19128299—21no—
47#19128285—21no—
48#19128235C2211yescharacteristic
49#19128209—21no—
50#123×D83—21no—
51#19128181C2211yescharacteristic
52#19128175C2211yescharacteristic
53C2×C4×D332C2211yescharacteristic
54#19128111C2211yescharacteristic, complemented
55#19128107C2211yescharacteristic, complemented
56#19128100C2211yescharacteristic, complemented
57#19128100C2211yescharacteristic, complemented
58#19128100C2211yescharacteristic, complemented
59#19128097C2211yescharacteristic, complemented
60#19128067C2211yescharacteristic
61#19128063C2211yescharacteristic, complemented
62#19128058C2211yescharacteristic, complemented
63#19128058C2211yescharacteristic, complemented
64#19128058C2211yescharacteristic, complemented
65#19128049C2211yescharacteristic
66#19128042C2211yescharacteristic, complemented
67#19128042C2211yescharacteristic, complemented
68#19128042C2211yescharacteristic, complemented
69#19128039C2211yescharacteristic, complemented
70#19128034C2211yescharacteristic, complemented
71#19128031C2211yescharacteristic, complemented
72#19128029C2211yescharacteristic, complemented
73#19128025C2211yescharacteristic
74#19128025C2211yescharacteristic
75#19128025C2211yescharacteristic
76#19128025C2211yescharacteristic, complemented
77#19128025C2211yescharacteristic, complemented
78#19128022C2211yescharacteristic, complemented
79#19128019C2211yescharacteristic
80#19128019C2211yescharacteristic, complemented
81#19128017C2211yescharacteristic, complemented
82#19128017C2211yescharacteristic, complemented
83#19128014C2211yescharacteristic, complemented
84#19128008C2211yescharacteristic, complemented
85#19128008C2211yescharacteristic, complemented
86#19128005C2211yescharacteristic, complemented
87#19128005C2211yescharacteristic, complemented
88#19128001C2211yescharacteristic, complemented
89#19128001C2211yescharacteristic, complemented
90#19127998C2211yescharacteristic
91#19127998C2211yescharacteristic
92#19127998C2211yescharacteristic
93#19127998C2211yescharacteristic
94#19127998C2211yescharacteristic
95#19127998C2211yescharacteristic, complemented
96#19127998C2211yescharacteristic, complemented
97#19127998C2211yescharacteristic, complemented
98#19127998C2211yescharacteristic, complemented
99#19127998C2211yescharacteristic, complemented
100#19127996C2211yescharacteristic, complemented
101#19127993C2211yescharacteristic, complemented
102#19127993C2211yescharacteristic, complemented
103#19127988C2211yescharacteristic
104#19127988C2211yescharacteristic, complemented
105#19127988C2211yescharacteristic, complemented
106#19127988C2211yescharacteristic, complemented
107#19127983C2211yescharacteristic, complemented
108#19127981C2211yescharacteristic, complemented
109#19127978C2211yescharacteristic
110#19127978C2211yescharacteristic
111#19127978C2211yescharacteristic
112#19127978C2211yescharacteristic, complemented
113#19127978C2211yescharacteristic, complemented
114#19127957C2211yescharacteristic, complemented
115#19127952C2211yescharacteristic
116#19127952C2211yescharacteristic, complemented
117#19127949C2211yescharacteristic
118#19127949C2211yescharacteristic
119#19127949C2211yescharacteristic, complemented
120#19127945C2211yescharacteristic, complemented
121#19127945C2211yescharacteristic, complemented
122#19127940C2211yescharacteristic, complemented
123#19127935C2211yescharacteristic
124#19127935C2211yescharacteristic, complemented
125#19127932C2211yescharacteristic, complemented
126#19127923C2211yescharacteristic, complemented
127#19127923C2211yescharacteristic, complemented
128#19127920C2211yescharacteristic, complemented
129#19127916C2211yescharacteristic, complemented
130#19127916C2211yescharacteristic, complemented
131#19127913C2211yescharacteristic
132#19127913C2211yescharacteristic, complemented
133#19127913C2211yescharacteristic, complemented
134#19127901C2211yescharacteristic
135#19127896C2211yescharacteristic
136#19127861C2211yescharacteristic
137#19127851C2211yescharacteristic
138#19127851C2211yescharacteristic
139#19127844C2211yescharacteristic
140#19127834C2211yescharacteristic
141#19127834C2211yescharacteristic
142#19127832C2211yescharacteristic, complemented
143Q8×C83⋊C8C2211yescharacteristic, complemented
144#19127811C2211yescharacteristic
145#19127811C2211yescharacteristic
146#19127806C2211yescharacteristic, complemented
147#19127799C2211yescharacteristic, complemented
148C4×#13050577C2211yescharacteristic
149C4×#13050577C2211yescharacteristic
150C4×#13050577C2211yescharacteristic
151C4×#13050577C2211yescharacteristic, complemented
152C4×#13050578C2211yescharacteristic, complemented
153C4×#13050575C2211yescharacteristic
154C4×#13050575C2211yescharacteristic, complemented
155C4×#13050575C2211yescharacteristic, complemented
156#19127779C2211yescharacteristic
157#19127779C2211yescharacteristic, complemented
158#19127779C2211yescharacteristic, complemented
159#19127773C2211yescharacteristic
160#19127773C2211yescharacteristic, complemented
161D4×C83⋊C8C2211yescharacteristic, complemented
162#19127762C2211yescharacteristic, complemented
163#19127762C2211yescharacteristic, complemented
164#19127754C2211yescharacteristic, complemented
165#19127744C2211yescharacteristic, complemented
166#19127744C2211yescharacteristic, complemented
167#19127744C2211yescharacteristic, complemented
168#19127741C2211yescharacteristic, complemented
169#19127737C2211yescharacteristic, complemented
170C2×#14581725C2211yescharacteristic, complemented
171#19127728C2211yescharacteristic, complemented
172#19127728C2211yescharacteristic, complemented
173#19127725C2211yescharacteristic, complemented
174#19127705C2211yescharacteristic
175#19127705C2211yescharacteristic
176#19127705C2211yescharacteristic
177#19127700C2211yescharacteristic
178#19127695C2211yescharacteristic
179C2×#14581712C2211yescharacteristic
180#563×C83—21no—
181#562×C83—21no—
182#557×C83C2211yescharacteristic, complemented
183#556×C83—21no—
184#556×C83C2211yescharacteristic
185#555×C83C2211yescharacteristic, complemented
186#554×C83C2211yescharacteristic, complemented
187#553×C83C2211yescharacteristic
188#553×C83C2211yescharacteristic, complemented
189#552×C83—21no—
190#552×C83C2211yescharacteristic, complemented
191#552×C83C2211yescharacteristic, complemented
192#544×C83C2211yescharacteristic, complemented
193#544×C83C2211yescharacteristic, complemented
194#542×C83—21no—
195#542×C83—21no—
196#542×C83C2211yescharacteristic, complemented
197#542×C83C2211yescharacteristic, complemented
198#541×C83—21no—
199#539×C83—21no—
200#533×C83C2211yescharacteristic, complemented
201#529×C83C2211yescharacteristic
202#529×C83C2211yescharacteristic, complemented
203C2×#13050590C2311yescharacteristic
204C2×#13050589—21no—
205C22×D332C2311yescharacteristic
206C22×D332C2311yescharacteristic
207C2×D4×D83—21no—
208C22×C4×D83—21no—
209C2×#13050580C2311yescharacteristic
210C2×#13050578C2311yescharacteristic
211C2×#13050577C2311yescharacteristic
212C2×#13050577C2311yescharacteristic
213C2×#13050577C2311yescharacteristic
214C2×#13050575C2311yescharacteristic
215C2×#13050575C2311yescharacteristic
216C2×#13050575C2311yescharacteristic
217C2×#13050574C2311yescharacteristic
218C2×#13050574C2311yescharacteristic
219C2×#13050574C2311yescharacteristic
220C2×#13050574C2311yescharacteristic
221C22×C83⋊C8C2311yescharacteristic
222C22×C83⋊C8C2311yescharacteristic
223#14581792C2311yescharacteristic
224#14581789C2311yescharacteristic
225#14581787—21no—
226#14581787—21no—
227#14581786—21no—
228#14581785—21no—
229#14581784C2311yescharacteristic
230#14581784C2311yescharacteristic
231#14581782—21no—
232#14581781—21no—
233#14581780C2311yescharacteristic
234#14581780C2311yescharacteristic
235#14581778—21no—
236#14581777—21no—
237#14581777—21no—
238#14581777—21no—
239#14581777—21no—
240#14581777—21no—
241#14581777—21no—
242#14581776—21no—
243#14581776—21no—
244#14581775—21no—
245#14581774—21no—
246#14581774—21no—
247#14581773—21no—
248#14581772—21no—
249#14581771C2311yescharacteristic
250#14581771C2311yescharacteristic
251#14581770—21no—
252#14581770—21no—
253#14581770—21no—
254#14581768—21no—
255#14581767—21no—
256#14581766C2311yescharacteristic
257#14581766C2311yescharacteristic
258#14581766C2311yescharacteristic
259#14581766C2311yescharacteristic
260#14581765—21no—
261#14581765—21no—
262#14581765—21no—
263#14581765—21no—
264#14581764—21no—
265#14581762—21no—
266#14581762—21no—
267#14581760—21no—
268#14581760—21no—
269C4×Dic166C2311yescharacteristic
270C4×Dic166C2311yescharacteristic
271C4×D332—21no—
272C4×D332—21no—
273C4×D332C2311yescharacteristic
274C4×D332C2311yescharacteristic
275C4×D332C2311yescharacteristic
276C4×D332C2311yescharacteristic
277C4×D332C2311yescharacteristic
278C4×D332C2311yescharacteristic
279C4×D332C2311yescharacteristic
280C4×D332C2311yescharacteristic
281#14581754—21no—
282#14581754—21no—
283#14581754—21no—
284C4×C22⋊D83—21no—
285(C22⋊D83)⋊C4—21no—
286(C22⋊D83)⋊C4—21no—
287(C22⋊D83)⋊C4—21no—
288#14581751C2311yescharacteristic
289#14581750—21no—
290#14581749—21no—
291#14581748—21no—
292C2×C4⋊Dic83C2311yescharacteristic
293C2×C4⋊Dic83C2311yescharacteristic
294C4⋊C4×D83—21no—
295C4⋊C4×D83—21no—
296C2×(C2×D83)⋊C4—21no—
297C22⋊C4×D83—21no—
298C22⋊C4×D83—21no—
299C22⋊C4×D83—21no—
300C22⋊C4×D83—21no—
301#14581725C2311yescharacteristic
302#14581725C2311yescharacteristic
303#14581725C2311yescharacteristic
304#14581725C2311yescharacteristic
305#14581725C2311yescharacteristic
306#14581725C2311yescharacteristic
307#14581725C2311yescharacteristic
308#14581725C2311yescharacteristic
309#14581725C2311yescharacteristic
310#14581725C2311yescharacteristic
311#14581725C2311yescharacteristic
312#14581725C2311yescharacteristic
313#14581723C2311yescharacteristic
314#14581723C2311yescharacteristic
315#14581723C2311yescharacteristic
316#14581723C2311yescharacteristic
317#14581723C2311yescharacteristic
318#14581723C2311yescharacteristic
319#14581723C2311yescharacteristic
320#14581723C2311yescharacteristic
321#14581723C2311yescharacteristic
322#14581723C2311yescharacteristic
323#14581723C2311yescharacteristic
324#14581723C2311yescharacteristic
325C4⋊(C83⋊C8)C2311yescharacteristic
326C4⋊(C83⋊C8)C2311yescharacteristic
327C4⋊(C83⋊C8)C2311yescharacteristic
328C4⋊(C83⋊C8)C2311yescharacteristic
329C4⋊(C83⋊C8)C2311yescharacteristic
330C4⋊(C83⋊C8)C2311yescharacteristic
331C4⋊(C83⋊C8)C2311yescharacteristic
332C4⋊(C83⋊C8)C2311yescharacteristic
333C4⋊(C83⋊C8)C2311yescharacteristic
334C4⋊(C83⋊C8)C2311yescharacteristic
335#14581716C2311yescharacteristic
336#14581716C2311yescharacteristic
337#14581716C2311yescharacteristic
338#14581716C2311yescharacteristic
339#14581715C2311yescharacteristic
340#14581715C2311yescharacteristic
341#14581715C2311yescharacteristic
342#14581715C2311yescharacteristic
343#14581715C2311yescharacteristic
344#14581715C2311yescharacteristic
345#14581713C2311yescharacteristic
346#14581713C2311yescharacteristic
347#14581713C2311yescharacteristic
348#14581713C2311yescharacteristic
349#14581712C2311yescharacteristic
350#14581712C2311yescharacteristic
351#14581712C2311yescharacteristic
352#14581712C2311yescharacteristic
353#14581712C2311yescharacteristic
354#14581712C2311yescharacteristic
355#14581712C2311yescharacteristic
356#14581712C2311yescharacteristic
357#14581712C2311yescharacteristic
358#14581712C2311yescharacteristic
359#14581712C2311yescharacteristic
360#14581712C2311yescharacteristic
361#14581712C2311yescharacteristic
362#14581712C2311yescharacteristic
363#14581712C2311yescharacteristic
364#14581712C2311yescharacteristic
365#14581712C2311yescharacteristic
366#14581712C2311yescharacteristic
367C22⋊(C83⋊C8)C2311yescharacteristic
368C22⋊(C83⋊C8)C2311yescharacteristic
369C22⋊(C83⋊C8)C2311yescharacteristic
370C22⋊(C83⋊C8)C2311yescharacteristic
371C22⋊(C83⋊C8)C2311yescharacteristic
372C22⋊(C83⋊C8)C2311yescharacteristic
373#14581703C2311yescharacteristic
374#14581703C2311yescharacteristic
375C4×C83⋊C8C2311yescharacteristic
376C4×C83⋊C8C2311yescharacteristic
377C4×C83⋊C8C2311yescharacteristic
378C4×C83⋊C8C2311yescharacteristic
379C4⋊Q8×C83—21no—
380C4⋊Q8×C83—21no—
381C4⋊Q8×C83—21no—
382C4⋊Q8×C83C2311yescharacteristic
383C4⋊Q8×C83C2311yescharacteristic
384C4⋊Q8×C83C2311yescharacteristic
385C4⋊Q8×C83C2311yescharacteristic
386#126×C83—21no—
387#126×C83—21no—
388#126×C83—21no—
389#126×C83—21no—
390#126×C83—21no—
391#126×C83—21no—
392#126×C83—21no—
393#126×C83—21no—
394#126×C83—21no—
395#126×C83D411yescharacteristic
396#126×C83D411yescharacteristic
397#125×C83—21no—
398#125×C83—21no—
399#125×C83—21no—
400#125×C83—21no—
401#125×C83—21no—
402#125×C83—21no—
403#125×C83D411yescharacteristic
404#125×C83C2311yescharacteristic
405#125×C83C2311yescharacteristic
406#125×C83C2311yescharacteristic
407#125×C83C2311yescharacteristic
408#125×C83C2311yescharacteristic
409#124×C83—21no—
410#124×C83—21no—
411#124×C83—21no—
412#124×C83—21no—
413#124×C83—21no—
414#124×C83D411yescharacteristic
415#124×C83C2311yescharacteristic
416#123×C83—21no—
417#123×C83—21no—
418#123×C83—21no—
419#123×C83—21no—
420#123×C83—21no—
421#123×C83—21no—
422#123×C83—21no—
423#123×C83D411yescharacteristic
424#123×C83D411yescharacteristic
425C22⋊Q8×C83—21no—
426C22⋊Q8×C83—21no—
427C22⋊Q8×C83—21no—
428C22⋊Q8×C83—21no—
429C22⋊Q8×C83—21no—
430C22⋊Q8×C83—21no—
431C22⋊Q8×C83—21no—
432C22⋊Q8×C83—21no—
433C22⋊Q8×C83—21no—
434C22⋊Q8×C83—21no—
435C22⋊Q8×C83—21no—
436C22⋊Q8×C83D411yescharacteristic
437C22⋊Q8×C83C2311yescharacteristic
438C22⋊Q8×C83C2311yescharacteristic
439C22⋊Q8×C83C2311yescharacteristic
440#121×C83—21no—
441#121×C83—21no—
442#121×C83—21no—
443#121×C83D411yescharacteristic
444#121×C83C2311yescharacteristic
445#121×C83C2311yescharacteristic
446#121×C83C2311yescharacteristic
447C4×Q8×C83—21no—
448C4×Q8×C83—21no—
449C4×Q8×C83—21no—
450C4×Q8×C83—21no—
451C4×Q8×C83C2311yescharacteristic
452C4×Q8×C83C2311yescharacteristic
453C4×Q8×C83C2311yescharacteristic
454C4×Q8×C83C2311yescharacteristic
455C4×D4×C83—21no—
456C4×D4×C83—21no—
457C4×D4×C83—21no—
458C4×D4×C83C2311yescharacteristic
459C4×D4×C83C2311yescharacteristic
460C4×D4×C83C2311yescharacteristic
461C4×D4×C83C2311yescharacteristic
462C4×D4×C83C2311yescharacteristic
463C4×D4×C83C2311yescharacteristic
464#117×C83—21no—
465#117×C83—21no—
466#117×C83—21no—
467#117×C83—21no—
468#117×C83C2311yescharacteristic
469#117×C83C2311yescharacteristic
470#117×C83C2311yescharacteristic
471#117×C83C2311yescharacteristic
472#117×C83C2311yescharacteristic
473#117×C83C2311yescharacteristic
474C2×C4⋊C4×C83—21no—
475C2×C4⋊C4×C83C2311yescharacteristic
476C2×C4⋊C4×C83C2311yescharacteristic
477C2×C42×C83C2311yescharacteristic
478C23×D83—21no—
479C23×D83—21no—
480#13050590—22no—
481#13050590—41no—
482#13050589—82no—
483C2×Dic166—21no—
484C2×Dic166C2411yescharacteristic
485C2×D332—22no—
486C2×D332—22no—
487C2×D332—21no—
488C2×D332—21no—
489C2×D332—21no—
490C2×D332—21no—
491C2×D332—41no—
492C2×D332—41no—
493C2×D332C2411yescharacteristic
494C2×D332C2411yescharacteristic
495C2×D332C2411yescharacteristic
496C2×C22⋊D83—21no—
497C2×C22⋊D83—21no—
498C2×C22⋊D83—21no—
499C2×C22⋊D83—21no—
500C2×C22⋊D83—21no—
501D4×D83—82no—
502C22×Dic83—21no—
503C22×Dic83—21no—
504C2×C4×D83—21no—
505C2×C4×D83—21no—
506C2×C4×D83—21no—
507C2×C4×D83—21no—
508C2×C4×D83—21no—
509C2×C4×D83—21no—
510C2×C4×D83—21no—
511C2×C4×D83—21no—
512C2×C4×D83—21no—
513C2×C4×D83—82no—
514#13050580—41no—
515#13050578—41no—
516#13050577—22no—
517#13050577—41no—
518#13050577—41no—
519#13050575—22no—
520#13050575—41no—
521#13050575—41no—
522#13050574—41no—
523#13050574—41no—
524#13050574—41no—
525#13050574—41no—
526C2×C83⋊C8—41no—
527C2×C83⋊C8—41no—
528C2×C83⋊C8C2411yescharacteristic
529C2×C83⋊C8C2411yescharacteristic
530C2×C83⋊C8C2411yescharacteristic
531C2×C83⋊C8C2411yescharacteristic
532C2×C83⋊C8C2411yescharacteristic
533C2×C83⋊C8C2411yescharacteristic
534C2×C83⋊C8C2411yescharacteristic
535C2×C83⋊C8C2411yescharacteristic
536C4⋊Dic83—21no—
537C4⋊Dic83—21no—
538C4⋊Dic83—21no—
539C4⋊Dic83C2411yescharacteristic
540C4⋊Dic83C2411yescharacteristic
541C4⋊Dic83C2411yescharacteristic
542C4⋊Dic83C2411yescharacteristic
543Dic83⋊C4—21no—
544Dic83⋊C4—21no—
545Dic83⋊C4—21no—
546Dic83⋊C4—21no—
547Dic83⋊C4—21no—
548Dic83⋊C4—21no—
549Dic83⋊C4—21no—
550Dic83⋊C4—21no—
551C22⋊Dic83—21no—
552C22⋊Dic83—21no—
553C22⋊Dic83—21no—
554(C2×D83)⋊C4—21no—
555(C2×D83)⋊C4—21no—
556(C2×D83)⋊C4—21no—
557(C2×D83)⋊C4—21no—
558(C2×D83)⋊C4—21no—
559(C2×D83)⋊C4—21no—
560(C2×D83)⋊C4—21no—
561(C2×D83)⋊C4—21no—
562(C2×D83)⋊C4—21no—
563(C2×D83)⋊C4—21no—
564(C2×D83)⋊C4—21no—
565(C2×D83)⋊C4—21no—
566(C2×D83)⋊C4—21no—
567(C2×D83)⋊C4—21no—
568(C2×D83)⋊C4—21no—
569(C2×D83)⋊C4—21no—
570C4×Dic83—21no—
571C4×Dic83—21no—
572C4×Dic83—21no—
573C2×Q8×C83—21no—
574C2×Q8×C83—21no—
575C2×Q8×C83—21no—
576C2×Q8×C83—21no—
577C2×Q8×C83C2×D411yescharacteristic
578C2×Q8×C83C2411yescharacteristic
579C2×D4×C83—21no—
580C2×D4×C83—21no—
581C2×D4×C83—21no—
582C2×D4×C83C2×D411yescharacteristic
583C2×D4×C83C2×D411yescharacteristic
584C2×D4×C83C2×D411yescharacteristic
585C2×D4×C83C2411yescharacteristic
586C22×C4×C83—21no—
587C22×C4×C83—21no—
588C22×C4×C83—21no—
589C22×C4×C83—21no—
590C22×C4×C83—21no—
591C22×C4×C83C2×D411yescharacteristic
592C22×C4×C83C2×D411yescharacteristic
593C22×C4×C83C2411yescharacteristic
594C22×C4×C83C2411yescharacteristic
595C22×C4×C83C2411yescharacteristic
596C4⋊C4×C83—21no—
597C4⋊C4×C83—21no—
598C4⋊C4×C83—21no—
599C4⋊C4×C83—21no—
600C4⋊C4×C83—21no—
601C4⋊C4×C83—21no—
602C4⋊C4×C83—21no—
603C4⋊C4×C83—21no—
604C4⋊C4×C83—21no—
605C4⋊C4×C83—21no—
606C4⋊C4×C83—21no—
607C4⋊C4×C83—21no—
608C4⋊C4×C83—21no—
609C4⋊C4×C83—21no—
610C4⋊C4×C83—21no—
611C4⋊C4×C83—21no—
612C4⋊C4×C83—21no—
613C4⋊C4×C83—21no—
614C4⋊C4×C83—21no—
615C4⋊C4×C83—21no—
616C4⋊C4×C83—21no—
617C4⋊C4×C83—21no—
618C4⋊C4×C83C2×D411yescharacteristic
619C4⋊C4×C83C2×D411yescharacteristic
620C4⋊C4×C83C2×D411yescharacteristic
621C4⋊C4×C83C2×D411yescharacteristic
622C4⋊C4×C83C2×D411yescharacteristic
623C4⋊C4×C83C2×D411yescharacteristic
624C4⋊C4×C83C2×D411yescharacteristic
625C4⋊C4×C83C2×D411yescharacteristic
626C4⋊C4×C83C2×D411yescharacteristic
627C4⋊C4×C83C2×D411yescharacteristic
628C4⋊C4×C83C2411yescharacteristic
629C4⋊C4×C83C2411yescharacteristic
630C4⋊C4×C83C2411yescharacteristic
631C4⋊C4×C83C2411yescharacteristic
632C4⋊C4×C83C2411yescharacteristic
633C4⋊C4×C83C2411yescharacteristic
634C22⋊C4×C83—21no—
635C22⋊C4×C83—21no—
636C22⋊C4×C83—21no—
637C22⋊C4×C83—21no—
638C22⋊C4×C83—21no—
639C22⋊C4×C83—21no—
640C22⋊C4×C83—21no—
641C22⋊C4×C83—21no—
642C22⋊C4×C83—21no—
643C22⋊C4×C83—21no—
644C22⋊C4×C83—21no—
645C22⋊C4×C83—21no—
646C22⋊C4×C83—21no—
647C22⋊C4×C83—21no—
648C22⋊C4×C83—21no—
649C22⋊C4×C83C2×D411yescharacteristic
650C22⋊C4×C83C2×D411yescharacteristic
651C22⋊C4×C83C2×D411yescharacteristic
652C22⋊C4×C83C2×D411yescharacteristic
653C22⋊C4×C83C2×D411yescharacteristic
654C22⋊C4×C83C2×D411yescharacteristic
655C22⋊C4×C83C2×D411yescharacteristic
656C22⋊C4×C83C2×D411yescharacteristic
657C22⋊C4×C83C2×D411yescharacteristic
658C22⋊C4×C83C2×D411yescharacteristic
659C42×C83—21no—
660C42×C83—21no—
661C42×C83—21no—
662C42×C83—21no—
663C42×C83—21no—
664C42×C83—21no—
665C42×C83—21no—
666C42×C83C2×D411yescharacteristic
667C42×C83C2×D411yescharacteristic
668C42×C83C2411yescharacteristic
669C42×C83C2411yescharacteristic
670C42×C83C2411yescharacteristic
671C42×C83C2411yescharacteristic
672C23×C83—21no—
673C23×C83C22×D411yescharacteristic
674C23×C83C22×D411yescharacteristic
675C23×C83C22×D411yescharacteristic
676C22×D83—21no—
677C22×D83—21no—
678C22×D83—21no—
679C22×D83—42no—
680C22×D83—42no—
681C22×D83—42no—
682C22×D83—81no—
683C22×D83—81no—
684C22×D83—81no—
685Q8×C83—21no—
686Q8×C83—21no—
687Q8×C83—41no—
688Q8×C83—81no—
689Q8×C83—81no—
690Q8×C83—81no—
691Q8×C83—81no—
692D4×C83—21no—
693D4×C83—21no—
694D4×C83—41no—
695D4×C83—41no—
696D4×C83—41no—
697D4×C83—81no—
698D4×C83—81no—
699D4×C83—81no—
700C2×C4×C83—21no—
701C2×C4×C83—21no—
702C2×C4×C83—21no—
703C2×C4×C83—21no—
704C2×C4×C83—21no—
705C2×C4×C83—21no—
706C2×C4×C83—21no—
707C2×C4×C83—21no—
708C2×C4×C83—21no—
709C2×C4×C83—21no—
710C2×C4×C83—21no—
711C2×C4×C83—21no—
712C2×C4×C83—21no—
713C2×C4×C83—41no—
714C2×C4×C83—41no—
715C2×C4×C83—81no—
716C2×C4×C83—81no—
717C2×C4×C83—81no—
718C2×C4×C83—81no—
719C2×C4×C83—81no—
720C2×C4×C83C22×D411yescharacteristic
721C2×C4×C83C22×D411yescharacteristic
722C2×C4×C83C22×D411yescharacteristic
723C2×C4×C83C22×D411yescharacteristic
724C2×C4×C83C22×D411yescharacteristic
725C2×C4×C83C22×D411yescharacteristic
726C2×C4×C83C22×D411yescharacteristic
727C2×C4×C83C22×D411yescharacteristic
728C2×C4×C83C22×D411yescharacteristic
729C2×C4×C83C22×D411yescharacteristic
730C2×C4×C83C22×D411yescharacteristic
731C2×C4×C83C2511yescharacteristic
732C22⋊D83—42no—
733C22⋊D83—42no—
734C22⋊D83—81no—
735C22⋊D83—81no—
736C22⋊D83—81no—
737C2×Dic83—21no—
738C2×Dic83—21no—
739C2×Dic83—21no—
740C2×Dic83—21no—
741C2×Dic83—21no—
742C2×Dic83—42no—
743C2×Dic83—81no—
744D332—21no—
745D332—21no—
746D332—21no—
747D332—21no—
748D332—21no—
749D332—42no—
750D332—42no—
751D332—81no—
752D332—81no—
753D3322−1+412yes—
754C4×D83—42no—
755C4×D83—81no—
756C4×D83—81no—
757C4×D83—81no—
758C4×D83—81no—
759C4×D83—81no—
760C4×D83—81no—
761C4×D83—81no—
762C4×D83—81no—
763Dic166—21no—
764Dic166—21no—
765Dic166—81no—
766C83⋊C8—21no—
767C83⋊C8—21no—
768C83⋊C8—21no—
769C83⋊C8—21no—
770C83⋊C8—21no—
771C83⋊C8—21no—
772C83⋊C8—21no—
773C83⋊C8—21no—
774C22×C83—21no—
775C22×C83—21no—
776C22×C83—21no—
777C22×C83—21no—
778C22×C83—21no—
779C22×C83—21no—
780C22×C83—21no—
781C22×C83—21no—
782C22×C83—21no—
783C22×C83—41no—
784C22×C83—41no—
785C22×C83—41no—
786C22×C83C23×D411yescharacteristic
787C2×D83—22no—
788C2×D83—41no—
789C2×D83—41no—
790C2×D83—41no—
791C2×D83—41no—
792C2×D83—41no—
793C2×D83—41no—
794C2×D83—41no—
795C2×D83—41no—
796C2×D83—84no—
797C2×D83—162no—
798C4×C83—21no—
799C4×C83—21no—
800C4×C83—21no—
801C4×C83—21no—
802C4×C83—21no—
803C4×C83—21no—
804C4×C83—21no—
805C4×C83—21no—
806C4×C83—21no—
807C4×C83—21no—
808C4×C83—21no—
809C4×C83—41no—
810C4×C83—41no—
811C4×C83—41no—
812C4×C83—41no—
813C4×C83—41no—
814C4×C83—41no—
815C4×C83—41no—
816C4×C83C2×2−1+411yescharacteristic
817C4×C83#58511yescharacteristic
818Dic83—41no—
819Dic83—41no—
820Dic83—41no—
821Dic83—41no—
822Dic83—41no—
823#62175—831nomaximal, Sylow
824C2×C83—41no—
825C2×C83—41no—
826C2×C83—41no—
827C2×C83—81no—
828C2×C83#348911yescharacteristic
829C2×C83#358411yescharacteristic
830C2×C83#358511yescharacteristic
831D83—42no—
832D83—81no—
833D83—81no—
834#3565D8311yescharacteristic, complemented
835#3513—831no—
836#3389—831no—
837#3381—831no—
838#3371—831no—
839#3361—831no—
840#3354—831no—
841#3351—831no—
842#3351—831no—
843#3349—831no—
844#3343—831no—
845#3339—831no—
846#3324—831no—
847#3323—831no—
848#3322—831no—
849#3319—831no—
850#3318—831no—
851#3296—831no—
852#3262—831no—
853#3257—831no—
854#3256—831no—
855#3244—831no—
856#3241—831no—
857#3233—831no—
858#3125—831no—
859#3118—831no—
860#3105—831no—
861#3083—831no—
862#3081—831no—
863#3077—831no—
864#2993—831no—
865C83#6217511yescharacteristic, complemented, Sylow
866#563—21no—
867#562—21no—
868#559—831no—
869#557C2×D8311yescharacteristic, complemented
870#556—21no—
871#556C2×D8311yescharacteristic
872#555C2×D8311yescharacteristic, complemented
873#554—831no—
874#554C2×D8311yescharacteristic, complemented
875#553—831no—
876#553—1661no—
877#553C2×D8311yescharacteristic
878#553C2×D8311yescharacteristic, complemented
879#552—21no—
880#552—831no—
881#552C2×D8311yescharacteristic, complemented
882#552C2×D8311yescharacteristic, complemented
883#551—1661no—
884#551—1661no—
885#547—831no—
886#546—831no—
887#546—831no—
888#546—1661no—
889D42—831no—
890#544C2×D8311yescharacteristic, complemented
891#544C2×D8311yescharacteristic, complemented
892#542—21no—
893#542—21no—
894#542—831no—
895#542C2×D8311yescharacteristic, complemented
896#542C2×D8311yescharacteristic, complemented
897#541—21no—
898#540—831no—
899#539—21no—
900#539—1661no—
901#538—1661no—
902#533C2×D8311yescharacteristic, complemented
903#529—831no—
904#529C2×D8311yescharacteristic
905#529C2×D8311yescharacteristic, complemented
906#525—1661no—
907C2×#123—1661no—
908#520—831no—
909#518—831no—
910C2×C4×D4—831no—
911#501—831no—
912#501—831no—
913#499—831no—
914#499—831no—
915#499—831no—
916#498—831no—
917#490—831no—
918#489—831no—
919#488—831no—
920#488—831no—
921#488—831no—
922#486—831no—
923#485—831no—
924#485—831no—
925#485—831no—
926#485—831no—
927#484—831no—
928#483—831no—
929#483—831no—
930#482—831no—
931#482—831no—
932#482—831no—
933#482—831no—
934#482—831no—
935#482—831no—
936#481—831no—
937#481—831no—
938#481—831no—
939#481—831no—
940#480—831no—
941#479—831no—
942#479—831no—
943#479—831no—
944#479—831no—
945#478—831no—
946#478—831no—
947#478—831no—
948#478—831no—
949#478—831no—
950#478—831no—
951#478—831no—
952#478—831no—
953#478—831no—
954#478—831no—
955#478—831no—
956#478—831no—
957#477—831no—
958#477—831no—
959#477—831no—
960#476—831no—
961#476—831no—
962#476—831no—
963#476—831no—
964#475—831no—
965#474—831no—
966#474—831no—
967#474—831no—
968#474—831no—
969#474—831no—
970#474—831no—
971#470—831no—
972#469—831no—
973#469—831no—
974#468—831no—
975#468—831no—
976#468—831no—
977#468—831no—
978#468—831no—
979#467—831no—
980#466—831no—
981#466—831no—
982#465—831no—
983#464—831no—
984#464—831no—
985#464—831no—
986#463—831no—
987#463—831no—
988#463—831no—
989#463—831no—
990#463—831no—
991#460—831no—
992#459—831no—
993#452—831no—
994#450—831no—
995#450—831no—
996#449—831no—
997#447—831no—
998#447—831no—
999#446—831no—
1000C8×Q8—831no—
1001#442—831no—
1002#442—831no—
1003#441—831no—
1004#440—831no—
1005C4×SD16—831no—
1006C4×SD16—831no—
1007C4×SD16—831no—
1008C4×SD16—831no—
1009C4×SD16—831no—
1010C4×D8—831no—
1011C4×D8—831no—
1012C4×D8—831no—
1013#436—831no—
1014#436—831no—
1015#436—831no—
1016#435—831no—
1017#435—831no—
1018C8×D4—831no—
1019#433—831no—
1020#433—831no—
1021#431—831no—
1022#428—831no—
1023#428—831no—
1024#428—831no—
1025#428—831no—
1026#427—831no—
1027C2×#107—831no—
1028#424—831no—
1029#424—831no—
1030#423—831no—
1031#418—831no—
1032#418—831no—
1033#418—831no—
1034#417—831no—
1035#416—831no—
1036C2×#102—831no—
1037C2×#41—831no—
1038C2×#41—1661no—
1039C22×D4—831no—
1040C22×D4—831no—
1041C22×D4—1661no—
1042C23×C4—1661no—
1043C2×Q16—831no—
1044C2×SD16—831no—
1045C2×SD16—831no—
1046C2×SD16—831no—
1047C2×SD16—831no—
1048C2×D8—831no—
1049C2×D8—831no—
1050C2×D8—831no—
1051C2×M16—831no—
1052C2×M16—831no—
1053C2×M16—831no—
1054C2×M16—831no—
1055C22×C8—831no—
1056C22×C8—831no—
1057C4⋊Q8—21no—
1058C4⋊Q8—21no—
1059C4⋊Q8—21no—
1060C4⋊Q8—831no—
1061C4⋊Q8C22×D8311yescharacteristic
1062C4⋊Q8C22×D8311yescharacteristic
1063C4⋊Q8C22×D8311yescharacteristic
1064C4⋊Q8C22×D8311yescharacteristic
1065#127—831no—
1066#126—21no—
1067#126—21no—
1068#126—21no—
1069#126—21no—
1070#126—21no—
1071#126—21no—
1072#126—21no—
1073#126—21no—
1074#126—21no—
1075#126—1661no—
1076#126—1661no—
1077#126—1661no—
1078#126—1661no—
1079#126C22⋊D8311yescharacteristic
1080#126C22⋊D8311yescharacteristic
1081#125—21no—
1082#125—21no—
1083#125—21no—
1084#125—21no—
1085#125—21no—
1086#125—21no—
1087#125—831no—
1088#125—831no—
1089#125—1661no—
1090#125C22⋊D8311yescharacteristic
1091#125C22×D8311yescharacteristic
1092#125C22×D8311yescharacteristic
1093#125C22×D8311yescharacteristic
1094#125C22×D8311yescharacteristic
1095#125C22×D8311yescharacteristic
1096#124—21no—
1097#124—21no—
1098#124—21no—
1099#124—21no—
1100#124—21no—
1101#124—831no—
1102#124—831no—
1103#124—1661no—
1104#124—1661no—
1105#124C22⋊D8311yescharacteristic
1106#124C22×D8311yescharacteristic
1107#123—21no—
1108#123—21no—
1109#123—21no—
1110#123—21no—
1111#123—21no—
1112#123—21no—
1113#123—21no—
1114#123—1661no—
1115#123—1661no—
1116#123—1661no—
1117#123—1661no—
1118#123—1661no—
1119#123—1661no—
1120#123—1661no—
1121#123—1661no—
1122#123—1661no—
1123#123—1661no—
1124#123—1661no—
1125#123—1661no—
1126#123C22⋊D8311yescharacteristic
1127#123C22⋊D8311yescharacteristic
1128C22⋊Q8—21no—
1129C22⋊Q8—21no—
1130C22⋊Q8—21no—
1131C22⋊Q8—21no—
1132C22⋊Q8—21no—
1133C22⋊Q8—21no—
1134C22⋊Q8—21no—
1135C22⋊Q8—21no—
1136C22⋊Q8—21no—
1137C22⋊Q8—21no—
1138C22⋊Q8—21no—
1139C22⋊Q8—831no—
1140C22⋊Q8—831no—
1141C22⋊Q8—1661no—
1142C22⋊Q8—1661no—
1143C22⋊Q8—1661no—
1144C22⋊Q8—1661no—
1145C22⋊Q8—1661no—
1146C22⋊Q8C22⋊D8311yescharacteristic
1147C22⋊Q8C22×D8311yescharacteristic
1148C22⋊Q8C22×D8311yescharacteristic
1149C22⋊Q8C22×D8311yescharacteristic
1150#121—21no—
1151#121—21no—
1152#121—21no—
1153#121—831no—
1154#121—831no—
1155#121—831no—
1156#121—831no—
1157#121—1661no—
1158#121—1661no—
1159#121—1661no—
1160#121—1661no—
1161#121—1661no—
1162#121—1661no—
1163#121C22⋊D8311yescharacteristic
1164#121C22×D8311yescharacteristic
1165#121C22×D8311yescharacteristic
1166#121C22×D8311yescharacteristic
1167#120—1661no—
1168#120—1661no—
1169#120—1661no—
1170#120—1661no—
1171C4×Q8—21no—
1172C4×Q8—21no—
1173C4×Q8—21no—
1174C4×Q8—21no—
1175C4×Q8—831no—
1176C4×Q8—831no—
1177C4×Q8C22×D8311yescharacteristic
1178C4×Q8C22×D8311yescharacteristic
1179C4×Q8C22×D8311yescharacteristic
1180C4×Q8C22×D8311yescharacteristic
1181C4×D4—21no—
1182C4×D4—21no—
1183C4×D4—21no—
1184C4×D4—831no—
1185C4×D4—831no—
1186C4×D4—831no—
1187C4×D4—831no—
1188C4×D4—831no—
1189C4×D4—831no—
1190C4×D4—831no—
1191C4×D4—831no—
1192C4×D4—1661no—
1193C4×D4—1661no—
1194C4×D4—1661no—
1195C4×D4—1661no—
1196C4×D4—1661no—
1197C4×D4—1661no—
1198C4×D4—1661no—
1199C4×D4—1661no—
1200C4×D4—1661no—
1201C4×D4C22×D8311yescharacteristic
1202C4×D4C22×D8311yescharacteristic
1203C4×D4C22×D8311yescharacteristic
1204C4×D4C22×D8311yescharacteristic
1205C4×D4C22×D8311yescharacteristic
1206C4×D4C22×D8311yescharacteristic
1207#117—21no—
1208#117—21no—
1209#117—21no—
1210#117—21no—
1211#117—831no—
1212#117—1661no—
1213#117—1661no—
1214#117—1661no—
1215#117C22×D8311yescharacteristic
1216#117C22×D8311yescharacteristic
1217#117C22×D8311yescharacteristic
1218#117C22×D8311yescharacteristic
1219#117C22×D8311yescharacteristic
1220#117C22×D8311yescharacteristic
1221C2×C4⋊C4—21no—
1222C2×C4⋊C4—831no—
1223C2×C4⋊C4—831no—
1224C2×C4⋊C4—1661no—
1225C2×C4⋊C4—1661no—
1226C2×C4⋊C4C22×D8311yescharacteristic
1227C2×C4⋊C4C22×D8311yescharacteristic
1228C2×C22⋊C4—1661no—
1229C2×C22⋊C4—1661no—
1230C2×C22⋊C4—1661no—
1231C2×C22⋊C4—1661no—
1232C2×C22⋊C4—1661no—
1233C2×C42C22×D8311yescharacteristic
1234#107—831no—
1235#107—831no—
1236#107—831no—
1237#107—831no—
1238#107—831no—
1239#107—831no—
1240#107—831no—
1241#107—831no—
1242#107—831no—
1243#107—831no—
1244#107—831no—
1245#107—831no—
1246#106—831no—
1247#106—831no—
1248#106—831no—
1249#106—831no—
1250#106—831no—
1251#106—831no—
1252#106—831no—
1253#106—831no—
1254#106—831no—
1255#106—831no—
1256#106—831no—
1257#106—831no—
1258C4⋊C8—831no—
1259C4⋊C8—831no—
1260C4⋊C8—831no—
1261C4⋊C8—831no—
1262C4⋊C8—831no—
1263C4⋊C8—831no—
1264C4⋊C8—831no—
1265C4⋊C8—831no—
1266C4⋊C8—831no—
1267C4⋊C8—831no—
1268#103—831no—
1269#103—831no—
1270#103—831no—
1271#103—831no—
1272#103—831no—
1273#103—831no—
1274#103—831no—
1275#103—831no—
1276#103—831no—
1277#103—831no—
1278#102—831no—
1279#102—831no—
1280#102—831no—
1281#102—831no—
1282#102—831no—
1283#102—831no—
1284#102—831no—
1285#102—831no—
1286#102—831no—
1287#102—831no—
1288#102—831no—
1289#102—831no—
1290#102—831no—
1291#102—831no—
1292#102—831no—
1293#102—831no—
1294#102—831no—
1295#102—831no—
1296#102—831no—
1297#102—831no—
1298#102—831no—
1299#102—831no—
1300C22⋊C8—831no—
1301C22⋊C8—831no—
1302C22⋊C8—831no—
1303C22⋊C8—831no—
1304C22⋊C8—831no—
1305C22⋊C8—831no—
1306#97—831no—
1307#97—831no—
1308C4×C8—831no—
1309C4×C8—831no—
1310C4×C8—831no—
1311C4×C8—831no—
1312C24—1661no—
1313C24—1661no—
1314#41—3321no—
1315#41—6642no—
1316#41—1662no—
1317C2×Q8—21no—
1318C2×Q8—21no—
1319C2×Q8—21no—
1320C2×Q8—21no—
1321C2×Q8—831no—
1322C2×Q8—1661no—
1323C2×Q8C2×C22⋊D8311yescharacteristic
1324C2×Q8C23×D8311yescharacteristic
1325C2×D4—21no—
1326C2×D4—21no—
1327C2×D4—21no—
1328C2×D4—3321no—
1329C2×D4—3321no—
1330C2×D4—831no—
1331C2×D4—831no—
1332C2×D4—831no—
1333C2×D4—6642no—
1334C2×D4—1662no—
1335C2×D4—1662no—
1336C2×D4—1661no—
1337C2×D4—1661no—
1338C2×D4—1661no—
1339C2×D4—1661no—
1340C2×D4—1661no—
1341C2×D4—1661no—
1342C2×D4—1661no—
1343C2×D4—1661no—
1344C2×D4—1661no—
1345C2×D4C2×C22⋊D8311yescharacteristic
1346C2×D4C2×C22⋊D8311yescharacteristic
1347C2×D4C2×C22⋊D8311yescharacteristic
1348C2×D4C23×D8311yescharacteristic
1349C22×C4—21no—
1350C22×C4—21no—
1351C22×C4—21no—
1352C22×C4—21no—
1353C22×C4—21no—
1354C22×C4—6642no—
1355C22×C4—1661no—
1356C22×C4—1661no—
1357C22×C4—1661no—
1358C22×C4—1661no—
1359C22×C4—1661no—
1360C22×C4—1661no—
1361C22×C4—1661no—
1362C22×C4—1661no—
1363C22×C4—1661no—
1364C22×C4—1661no—
1365C22×C4—1661no—
1366C22×C4C2×C22⋊D8311yescharacteristic
1367C22×C4C2×C22⋊D8311yescharacteristic
1368C22×C4C23×D8311yescharacteristic
1369C22×C4C23×D8311yescharacteristic
1370C22×C4C23×D8311yescharacteristic
1371Q16—3321no—
1372SD16—3321no—
1373SD16—3321no—
1374SD16—3321no—
1375SD16—1662no—
1376D8—3321no—
1377D8—3321no—
1378D8—1662no—
1379M16—3321no—
1380M16—3321no—
1381M16—3321no—
1382M16—3321no—
1383C2×C8—3321no—
1384C2×C8—3321no—
1385C2×C8—831no—
1386C2×C8—831no—
1387C2×C8—831no—
1388C2×C8—831no—
1389C2×C8—831no—
1390C2×C8—831no—
1391C2×C8—831no—
1392C2×C8—831no—
1393C4⋊C4—21no—
1394C4⋊C4—21no—
1395C4⋊C4—21no—
1396C4⋊C4—21no—
1397C4⋊C4—21no—
1398C4⋊C4—21no—
1399C4⋊C4—21no—
1400C4⋊C4—21no—
1401C4⋊C4—21no—
1402C4⋊C4—21no—
1403C4⋊C4—21no—
1404C4⋊C4—21no—
1405C4⋊C4—21no—
1406C4⋊C4—21no—
1407C4⋊C4—21no—
1408C4⋊C4—21no—
1409C4⋊C4—21no—
1410C4⋊C4—21no—
1411C4⋊C4—21no—
1412C4⋊C4—21no—
1413C4⋊C4—21no—
1414C4⋊C4—21no—
1415C4⋊C4—831no—
1416C4⋊C4—831no—
1417C4⋊C4—831no—
1418C4⋊C4—831no—
1419C4⋊C4—1661no—
1420C4⋊C4—1661no—
1421C4⋊C4—1661no—
1422C4⋊C4—1661no—
1423C4⋊C4—1661no—
1424C4⋊C4—1661no—
1425C4⋊C4—1661no—
1426C4⋊C4—1661no—
1427C4⋊C4—1661no—
1428C4⋊C4—1661no—
1429C4⋊C4—1661no—
1430C4⋊C4C2×C22⋊D8311yescharacteristic
1431C4⋊C4C2×C22⋊D8311yescharacteristic
1432C4⋊C4C2×C22⋊D8311yescharacteristic
1433C4⋊C4C2×C22⋊D8311yescharacteristic
1434C4⋊C4C2×C22⋊D8311yescharacteristic
1435C4⋊C4C2×C22⋊D8311yescharacteristic
1436C4⋊C4C2×C22⋊D8311yescharacteristic
1437C4⋊C4C2×C22⋊D8311yescharacteristic
1438C4⋊C4C2×C22⋊D8311yescharacteristic
1439C4⋊C4C2×C22⋊D8311yescharacteristic
1440C4⋊C4C23×D8311yescharacteristic
1441C4⋊C4C23×D8311yescharacteristic
1442C4⋊C4C23×D8311yescharacteristic
1443C4⋊C4C23×D8311yescharacteristic
1444C4⋊C4C23×D8311yescharacteristic
1445C4⋊C4C23×D8311yescharacteristic
1446C22⋊C4—21no—
1447C22⋊C4—21no—
1448C22⋊C4—21no—
1449C22⋊C4—21no—
1450C22⋊C4—21no—
1451C22⋊C4—21no—
1452C22⋊C4—21no—
1453C22⋊C4—21no—
1454C22⋊C4—21no—
1455C22⋊C4—21no—
1456C22⋊C4—21no—
1457C22⋊C4—21no—
1458C22⋊C4—21no—
1459C22⋊C4—21no—
1460C22⋊C4—21no—
1461C22⋊C4—1661no—
1462C22⋊C4—1661no—
1463C22⋊C4—1661no—
1464C22⋊C4—1661no—
1465C22⋊C4—1661no—
1466C22⋊C4—1661no—
1467C22⋊C4—1661no—
1468C22⋊C4—1661no—
1469C22⋊C4—1661no—
1470C22⋊C4—1661no—
1471C22⋊C4—1661no—
1472C22⋊C4—1661no—
1473C22⋊C4—1661no—
1474C22⋊C4—1661no—
1475C22⋊C4—1661no—
1476C22⋊C4—1661no—
1477C22⋊C4—1661no—
1478C22⋊C4—1661no—
1479C22⋊C4—1661no—
1480C22⋊C4C2×C22⋊D8311yescharacteristic
1481C22⋊C4C2×C22⋊D8311yescharacteristic
1482C22⋊C4C2×C22⋊D8311yescharacteristic
1483C22⋊C4C2×C22⋊D8311yescharacteristic
1484C22⋊C4C2×C22⋊D8311yescharacteristic
1485C22⋊C4C2×C22⋊D8311yescharacteristic
1486C22⋊C4C2×C22⋊D8311yescharacteristic
1487C22⋊C4C2×C22⋊D8311yescharacteristic
1488C22⋊C4C2×C22⋊D8311yescharacteristic
1489C22⋊C4C2×C22⋊D8311yescharacteristic
1490C42—21no—
1491C42—21no—
1492C42—21no—
1493C42—21no—
1494C42—21no—
1495C42—21no—
1496C42—21no—
1497C42—1661no—
1498C42—1661no—
1499C42—1661no—
1500C42C2×C22⋊D8311yescharacteristic
1501C42C2×C22⋊D8311yescharacteristic
1502C42C23×D8311yescharacteristic
1503C42C23×D8311yescharacteristic
1504C42C23×D8311yescharacteristic
1505C42C23×D8311yescharacteristic
1506C23—21no—
1507C23—3322no—
1508C23—3322no—
1509C23—3322no—
1510C23—6641no—
1511C23—6641no—
1512C23—6641no—
1513C23—1661no—
1514C23—1661no—
1515C23—1661no—
1516C23C22×C22⋊D8311yescharacteristic
1517C23C22×C22⋊D8311yescharacteristic
1518C23C22×C22⋊D8311yescharacteristic
1519Q8—21no—
1520Q8—21no—
1521Q8—41no—
1522Q8—81no—
1523Q8—81no—
1524Q8—81no—
1525Q8—81no—
1526Q8—6641no—
1527Q8—1661no—
1528Q8—1661no—
1529D4—21no—
1530D4—21no—
1531D4—41no—
1532D4—41no—
1533D4—41no—
1534D4—81no—
1535D4—81no—
1536D4—81no—
1537D4—3322no—
1538D4—3322no—
1539D4—3322no—
1540D4—3322no—
1541D4—832no—
1542D4—6641no—
1543D4—6641no—
1544D4—6641no—
1545D4—6641no—
1546D4—6641no—
1547D4—1661no—
1548D4—1661no—
1549D4—1661no—
1550D4—1661no—
1551D4—1661no—
1552C2×C4—21no—
1553C2×C4—21no—
1554C2×C4—21no—
1555C2×C4—21no—
1556C2×C4—21no—
1557C2×C4—21no—
1558C2×C4—21no—
1559C2×C4—21no—
1560C2×C4—21no—
1561C2×C4—21no—
1562C2×C4—21no—
1563C2×C4—21no—
1564C2×C4—21no—
1565C2×C4—41no—
1566C2×C4—41no—
1567C2×C4—81no—
1568C2×C4—81no—
1569C2×C4—81no—
1570C2×C4—81no—
1571C2×C4—81no—
1572C2×C4—3322no—
1573C2×C4—3322no—
1574C2×C4—6641no—
1575C2×C4—6641no—
1576C2×C4—6641no—
1577C2×C4—6641no—
1578C2×C4—6641no—
1579C2×C4—6641no—
1580C2×C4—6641no—
1581C2×C4—6641no—
1582C2×C4—6641no—
1583C2×C4—1661no—
1584C2×C4—1661no—
1585C2×C4—1661no—
1586C2×C4—1661no—
1587C2×C4—1661no—
1588C2×C4C22×C22⋊D8311yescharacteristic
1589C2×C4C22×C22⋊D8311yescharacteristic
1590C2×C4C22×C22⋊D8311yescharacteristic
1591C2×C4C22×C22⋊D8311yescharacteristic
1592C2×C4C22×C22⋊D8311yescharacteristic
1593C2×C4C22×C22⋊D8311yescharacteristic
1594C2×C4C22×C22⋊D8311yescharacteristic
1595C2×C4C22×C22⋊D8311yescharacteristic
1596C2×C4C22×C22⋊D8311yescharacteristic
1597C2×C4C22×C22⋊D8311yescharacteristic
1598C2×C4C22×C22⋊D8311yescharacteristic
1599C2×C4C24×D8311yescharacteristic
1600C8—1661no—
1601C8—1661no—
1602C8—1661no—
1603C8—1661no—
1604C8—1661no—
1605C8—1661no—
1606C8—1661no—
1607C8—1661no—
1608C22—21no—
1609C22—21no—
1610C22—21no—
1611C22—21no—
1612C22—21no—
1613C22—21no—
1614C22—21no—
1615C22—21no—
1616C22—21no—
1617C22—41no—
1618C22—41no—
1619C22—41no—
1620C22—13282no—
1621C22—3321no—
1622C22—3321no—
1623C22—3321no—
1624C22—3321no—
1625C22—3321no—
1626C22—3321no—
1627C22—3321no—
1628C22—3321no—
1629C22—6644no—
1630C22—1662no—
1631C22C23×C22⋊D8311yescharacteristic
1632C4—21no—
1633C4—21no—
1634C4—21no—
1635C4—21no—
1636C4—21no—
1637C4—21no—
1638C4—21no—
1639C4—21no—
1640C4—21no—
1641C4—21no—
1642C4—21no—
1643C4—41no—
1644C4—41no—
1645C4—41no—
1646C4—41no—
1647C4—41no—
1648C4—41no—
1649C4—41no—
1650C4—3321no—
1651C4—3321no—
1652C4—3321no—
1653C4—3321no—
1654C4—3321no—
1655C42−1+4×D8311yescharacteristic
1656C4#1912853811yescharacteristic
1657C2—41no—
1658C2—41no—
1659C2—41no—
1660C2—81no—
1661C2—3322no—
1662C2—6641no—
1663C2—6641no—
1664C2#2492113611yescharacteristic
1665C2#2492223411yescharacteristic
1666C2#2492224211yescharacteristic
subgroupG/H
centerC22C23×C22⋊D83
commutator, cosocleC2×C4×C83C25
FrattiniC2×C4C24×D83
FittingC83×#3565C2
socleC22×C83C23×D4
hypercenter#3565D83
hypocenterC83#62175
LCSG ▷ C2×C4×C83 ▷ C2×C83 ▷ C83
UCSC1 ◁ C22 ◁ #529 ◁ #3565

Complements

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

NH ≅ G/Ntype
1. #24921407C2semidirect
2. #24920417C2semidirect
3. #24920334C2semidirect
4. #24920231C2semidirect
5. #24920123C2semidirect
6. #24920052C2semidirect
7. #24920023C2semidirect
8. #24920017C2semidirect
9. #24919987C2semidirect
10. #24919903C2semidirect
11. #24919859C2semidirect
12. #24919688C2semidirect
13. #24919673C2semidirect
14. #24919658C2semidirect
15. #24919613C2semidirect
16. #24919598C2semidirect
17. #24919292C2semidirect
18. #24918919C2semidirect
19. #24918874C2semidirect
20. #24918859C2semidirect
21. #24918761C2semidirect
22. #24918716C2semidirect
23. #24918642C2semidirect
24. #24917734C2semidirect
25. #24917641C2semidirect
26. #24917506C2semidirect
27. #24917310C2semidirect
28. #24917288C2semidirect
29. #24917256C2semidirect
30. #24916612C2semidirect
31. C83×#3565C2semidirect
54. #19128111C22semidirect
55. #19128107C22semidirect
56. #19128100C22semidirect
57. #19128100C22semidirect
58. #19128100C22semidirect
59. #19128097C22semidirect
61. #19128063C22semidirect
62. #19128058C22semidirect
63. #19128058C22semidirect
64. #19128058C22semidirect
66. #19128042C22semidirect
67. #19128042C22semidirect
68. #19128042C22semidirect
69. #19128039C22semidirect
70. #19128034C22semidirect
71. #19128031C22semidirect
72. #19128029C22semidirect
76. #19128025C22semidirect
77. #19128025C22semidirect
78. #19128022C22semidirect
80. #19128019C22semidirect
81. #19128017C22semidirect
82. #19128017C22semidirect
83. #19128014C22semidirect
84. #19128008C22semidirect
85. #19128008C22semidirect
86. #19128005C22semidirect
87. #19128005C22semidirect
88. #19128001C22semidirect
89. #19128001C22semidirect
95. #19127998C22semidirect
96. #19127998C22semidirect
97. #19127998C22semidirect
98. #19127998C22semidirect
99. #19127998C22semidirect
100. #19127996C22semidirect
101. #19127993C22semidirect
102. #19127993C22semidirect
104. #19127988C22semidirect
105. #19127988C22semidirect
106. #19127988C22semidirect
107. #19127983C22semidirect
108. #19127981C22semidirect
112. #19127978C22semidirect
113. #19127978C22semidirect
114. #19127957C22semidirect
116. #19127952C22semidirect
119. #19127949C22semidirect
120. #19127945C22semidirect
121. #19127945C22semidirect
122. #19127940C22semidirect
124. #19127935C22semidirect
125. #19127932C22semidirect
126. #19127923C22semidirect
127. #19127923C22semidirect
128. #19127920C22semidirect
129. #19127916C22semidirect
130. #19127916C22semidirect
132. #19127913C22semidirect
133. #19127913C22semidirect
142. #19127832C22semidirect
143. Q8×C83⋊C8C22semidirect
146. #19127806C22semidirect
147. #19127799C22semidirect
151. C4×#13050577C22semidirect
152. C4×#13050578C22semidirect
154. C4×#13050575C22semidirect
155. C4×#13050575C22semidirect
157. #19127779C22semidirect
158. #19127779C22semidirect
160. #19127773C22semidirect
161. D4×C83⋊C8C22semidirect
162. #19127762C22semidirect
163. #19127762C22semidirect
164. #19127754C22semidirect
165. #19127744C22semidirect
166. #19127744C22semidirect
167. #19127744C22semidirect
168. #19127741C22semidirect
169. #19127737C22semidirect
170. C2×#14581725C22semidirect
171. #19127728C22semidirect
172. #19127728C22semidirect
173. #19127725C22semidirect
182. #557×C83C22semidirect
185. #555×C83C22semidirect
186. #554×C83C22semidirect
188. #553×C83C22semidirect
190. #552×C83C22semidirect
191. #552×C83C22semidirect
192. #544×C83C22semidirect
193. #544×C83C22semidirect
196. #542×C83C22semidirect
197. #542×C83C22semidirect
200. #533×C83C22semidirect
202. #529×C83C22semidirect
834. #3565D83semidirect
865. C83#62175semidirect
869. #557C2×D83semidirect
872. #555C2×D83semidirect
874. #554C2×D83semidirect
878. #553C2×D83semidirect
881. #552C2×D83semidirect
882. #552C2×D83semidirect
890. #544C2×D83semidirect
891. #544C2×D83semidirect
895. #542C2×D83semidirect
896. #542C2×D83semidirect
902. #533C2×D83semidirect
905. #529C2×D83semidirect

Maximal subgroups

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

subgroupindex
#249214072
#249204172
#249203342
#249202312
#249201232
#249200522
#249200232
#249200172
#249199872
#249199032
#249198592
#249196882
#249196732
#249196582
#249196132
#249195982
#249192922
#249189192
#249188742
#249188592
#249187612
#249187162
#249186422
#249177342
#249176412
#249175062
#249173102
#249172882
#249172562
#249166122
C83×#35652
#6217583