Finite Group Databasebeta

← #36287170

Subgroups — #36287170

Order 21248.

1910 conjugacy classes of subgroups.

The subgroup lattice has 1762 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#24921408C211yesmaximal, characteristic, complemented
2#24921398C211yesmaximal, characteristic, complemented
3#24920552C211yesmaximal, characteristic, complemented
4#24920418C211yesmaximal, characteristic, complemented
5#24920126C211yesmaximal, characteristic, complemented
6#24920122C211yesmaximal, characteristic, complemented
7#24920065C211yesmaximal, characteristic, complemented
8#24919899C211yesmaximal, characteristic, complemented
9#24919316C211yesmaximal, characteristic, complemented
10#24919311C211yesmaximal, characteristic, complemented
11#24919296C211yesmaximal, characteristic, complemented
12#24919292C211yesmaximal, characteristic, complemented
13#24919274C211yesmaximal, characteristic, complemented
14#24919270C211yesmaximal, characteristic, complemented
15#24919071C211yesmaximal, characteristic, complemented
16#24918948C211yesmaximal, characteristic, complemented
17#24918940C211yesmaximal, characteristic, complemented
18#24918151C211yesmaximal, characteristic, complemented
19#24918139C211yesmaximal, characteristic, complemented
20#24918026C211yesmaximal, characteristic, complemented
21#24917732C211yesmaximal, characteristic, complemented
22#24917728C211yesmaximal, characteristic, complemented
23#24917708C211yesmaximal, characteristic, complemented
24#24917702C211yesmaximal, characteristic, complemented
25#24917604C211yesmaximal, characteristic, complemented
26#24917598C211yesmaximal, characteristic, complemented
27#24916433C211yesmaximal, characteristic, complemented
28#24916294C211yesmaximal, characteristic, complemented
29#24916293C211yesmaximal, characteristic, complemented
30C2×#19127783C211yesmaximal, characteristic, complemented
31C83×#3343C211yesmaximal, characteristic, complemented
32C2×#14581820C2211yescharacteristic
33C2×#14581819C2211yescharacteristic
34C22×D664C2211yescharacteristic
35#19128436C2211yescharacteristic, complemented
36#19128434C2211yescharacteristic, complemented
37#19128412C2211yescharacteristic, complemented
38#19128407C2211yescharacteristic, complemented
39#19128404—21no—
40#19128399C2211yescharacteristic, complemented
41#19128396—21no—
42#19128395C2211yescharacteristic, complemented
43#19128386C2211yescharacteristic, complemented
44#19128378—21no—
45#19128376—21no—
46#19128375—21no—
47#19128374—21no—
48#19128352C2211yescharacteristic
49#19128348C2211yescharacteristic, complemented
50#19128347C2211yescharacteristic
51#19128343—21no—
52#19128342C2211yescharacteristic
53#19128342C2211yescharacteristic, complemented
54#19128339—21no—
55D4×D332C2211yescharacteristic, complemented
56#19128335C2211yescharacteristic, complemented
57#19128325C2211yescharacteristic, complemented
58#19128324C2211yescharacteristic, complemented
59#19128307C2211yescharacteristic, complemented
60#19128304C2211yescharacteristic, complemented
61#19128299—21no—
62#19128297—21no—
63#19128290—21no—
64#19128287—21no—
65#19128237C2211yescharacteristic, complemented
66#19128232C2211yescharacteristic, complemented
67#19128231C2211yescharacteristic
68#19128213—21no—
69#19128208—21no—
70#123×D83—21no—
71#123×D83—21no—
72#19128183C2211yescharacteristic, complemented
73#19128182C2211yescharacteristic, complemented
74#19128175C2211yescharacteristic, complemented
75#19128173C2211yescharacteristic, complemented
76C2×#14581754C2211yescharacteristic, complemented
77C2×#14581754C2211yescharacteristic, complemented
78#19128109C2211yescharacteristic, complemented
79#19128101C2211yescharacteristic, complemented
80#19128090C2211yescharacteristic, complemented
81#19128087C2211yescharacteristic, complemented
82#19128082C2211yescharacteristic, complemented
83#19128058C2211yescharacteristic, complemented
84#19128057C2211yescharacteristic, complemented
85#19128057C2211yescharacteristic, complemented
86#19128054C2211yescharacteristic, complemented
87#19128049C2211yescharacteristic, complemented
88#19128046C2211yescharacteristic, complemented
89#19128038C2211yescharacteristic, complemented
90#19128031C2211yescharacteristic, complemented
91#19128028C2211yescharacteristic, complemented
92#19128027C2211yescharacteristic, complemented
93#19128025C2211yescharacteristic, complemented
94#19128016C2211yescharacteristic, complemented
95#19128014C2211yescharacteristic, complemented
96#19128014C2211yescharacteristic, complemented
97#19128004C2211yescharacteristic, complemented
98#19128004C2211yescharacteristic, complemented
99#19128004C2211yescharacteristic, complemented
100#19128000C2211yescharacteristic, complemented
101#19128000C2211yescharacteristic, complemented
102#19128000C2211yescharacteristic, complemented
103#19127998C2211yescharacteristic, complemented
104#19127995C2211yescharacteristic, complemented
105#19127980C2211yescharacteristic, complemented
106#19127978C2211yescharacteristic, complemented
107#19127955C2211yescharacteristic, complemented
108#19127954C2211yescharacteristic, complemented
109#19127948C2211yescharacteristic, complemented
110#19127940C2211yescharacteristic, complemented
111#19127938C2211yescharacteristic, complemented
112#19127935C2211yescharacteristic
113#19127935C2211yescharacteristic, complemented
114#19127932C2211yescharacteristic, complemented
115#19127931C2211yescharacteristic, complemented
116#19127930C2211yescharacteristic, complemented
117#19127926C2211yescharacteristic, complemented
118#19127923C2211yescharacteristic, complemented
119#19127919C2211yescharacteristic, complemented
120#19127919C2211yescharacteristic, complemented
121#19127919C2211yescharacteristic, complemented
122#19127917C2211yescharacteristic, complemented
123#19127915C2211yescharacteristic, complemented
124#19127915C2211yescharacteristic, complemented
125#19127897C2211yescharacteristic
126#19127896C2211yescharacteristic, complemented
127#19127895C2211yescharacteristic
128#19127895C2211yescharacteristic, complemented
129#19127866C2211yescharacteristic, complemented
130#19127861C2211yescharacteristic, complemented
131#19127854C2211yescharacteristic, complemented
132#19127851C2211yescharacteristic, complemented
133#19127849C2211yescharacteristic
134#19127848C2211yescharacteristic
135#19127837C2211yescharacteristic
136#19127837C2211yescharacteristic, complemented
137#19127836C2211yescharacteristic, complemented
138#19127836C2211yescharacteristic, complemented
139#19127834C2211yescharacteristic
140#19127834C2211yescharacteristic, complemented
141#19127829C2211yescharacteristic, complemented
142#19127825C2211yescharacteristic, complemented
143#19127814C2211yescharacteristic
144#19127812C2211yescharacteristic
145#19127812C2211yescharacteristic, complemented
146#19127812C2211yescharacteristic, complemented
147#19127810C2211yescharacteristic, complemented
148#19127810C2211yescharacteristic, complemented
149#19127804C2211yescharacteristic, complemented
150#19127804C2211yescharacteristic, complemented
151#19127800C2211yescharacteristic, complemented
152#19127800C2211yescharacteristic, complemented
153#19127800C2211yescharacteristic, complemented
154#19127793C2211yescharacteristic, complemented
155SD16×Dic83C2211yescharacteristic, complemented
156C4×#13050577C2211yescharacteristic, complemented
157#19127788C2211yescharacteristic, complemented
158#19127788C2211yescharacteristic, complemented
159#19127783C2211yescharacteristic
160#19127783C2211yescharacteristic
161#19127783C2211yescharacteristic, complemented
162#19127783C2211yescharacteristic, complemented
163#19127783C2211yescharacteristic, complemented
164#19127783C2211yescharacteristic, complemented
165#19127783C2211yescharacteristic, complemented
166#19127783C2211yescharacteristic, complemented
167#19127783C2211yescharacteristic, complemented
168C4×#13050575C2211yescharacteristic, complemented
169#19127781C2211yescharacteristic, complemented
170#19127777C2211yescharacteristic, complemented
171#19127772C2211yescharacteristic, complemented
172D4×C83⋊C8C2211yescharacteristic, complemented
173(C22⋊D83)⋊C8C2211yescharacteristic, complemented
174(C22⋊D83)⋊C8C2211yescharacteristic, complemented
175#19127761C2211yescharacteristic, complemented
176#19127759C2211yescharacteristic, complemented
177#19127755C2211yescharacteristic, complemented
178#19127742C2211yescharacteristic, complemented
179#19127696C2211yescharacteristic, complemented
180#19127695C2211yescharacteristic, complemented
181C2×#14581712C2211yescharacteristic, complemented
182C2×#14581712C2211yescharacteristic, complemented
183C2×#14581712C2211yescharacteristic, complemented
184#102×D83C2211yescharacteristic, complemented
185#19127659C2211yescharacteristic, complemented
186#19127658C2211yescharacteristic, complemented
187C2×C8×Dic83C2211yescharacteristic, complemented
188#552×C83C2211yescharacteristic, complemented
189#547×C83C2211yescharacteristic
190#501×C83C2211yescharacteristic, complemented
191#484×C83C2211yescharacteristic, complemented
192#483×C83C2211yescharacteristic, complemented
193#482×C83C2211yescharacteristic, complemented
194#480×C83C2211yescharacteristic, complemented
195#478×C83C2211yescharacteristic, complemented
196#477×C83C2211yescharacteristic, complemented
197#468×C83C2211yescharacteristic, complemented
198#465×C83C2211yescharacteristic, complemented
199#440×C83C2211yescharacteristic, complemented
200#435×C83C2211yescharacteristic, complemented
201#428×C83C2211yescharacteristic, complemented
202C2×#107×C83C2211yescharacteristic, complemented
203C2×#13050591C2311yescharacteristic
204C2×#13050590—21no—
205C2×#13050590C2311yescharacteristic
206C22×D332C2311yescharacteristic
207C22×D332C2311yescharacteristic
208C22×D332C2311yescharacteristic
209C2×D4×D83—21no—
210C2×D4×D83—21no—
211C2×D4×D83C2311yescharacteristic
212C22×C4×D83—21no—
213C22×C4×D83—21no—
214#14581820—24no—
215#14581819—24no—
216C2×#13050580C2311yescharacteristic
217C2×#13050579C2311yescharacteristic
218C2×#13050579C2311yescharacteristic
219C2×#13050579C2311yescharacteristic
220C2×#13050577C2311yescharacteristic
221C2×#13050577C2311yescharacteristic
222C2×D664—24no—
223C2×D664C2311yescharacteristic
224C2×D664C2311yescharacteristic
225C2×D664C2311yescharacteristic
226C2×D664C2311yescharacteristic
227C2×D664C2311yescharacteristic
228C2×D664C2311yescharacteristic
229C2×#13050575C2311yescharacteristic
230C2×#13050575C2311yescharacteristic
231C2×#13050575C2311yescharacteristic
232C2×#13050573C2311yescharacteristic
233C22×C83⋊C8C2311yescharacteristic
234C22×C83⋊C8C2311yescharacteristic
235C2×C8×D83C2311yescharacteristic
236#14581791C2311yescharacteristic
237#14581789C2311yescharacteristic
238#14581788C2311yescharacteristic
239#14581787—21no—
240#14581787—21no—
241#14581787—21no—
242#14581787—21no—
243#14581787—21no—
244#14581787D411yescharacteristic
245#14581786—21no—
246#14581785—21no—
247#14581785D411yescharacteristic
248#14581783C2311yescharacteristic
249#14581783C2311yescharacteristic
250#14581783C2311yescharacteristic
251#14581782—21no—
252#14581782D411yescharacteristic
253#14581781—21no—
254#14581781C2311yescharacteristic
255#14581781C2311yescharacteristic
256#14581780—21no—
257#14581780C2311yescharacteristic
258#14581779C2311yescharacteristic
259#14581778—21no—
260#14581778—21no—
261#14581778D411yescharacteristic
262#14581777—21no—
263#14581777—21no—
264#14581777—21no—
265#14581777—21no—
266#14581777—21no—
267#14581777—21no—
268#14581777—21no—
269#14581777—21no—
270#14581777—21no—
271#14581777—21no—
272#14581776—21no—
273#14581776—21no—
274#14581776D411yescharacteristic
275#14581775—21no—
276#14581775—21no—
277#14581775—21no—
278#14581774—21no—
279#14581774—21no—
280#14581774—21no—
281#14581774—21no—
282#14581774—21no—
283#14581773—21no—
284#14581773D411yescharacteristic
285#14581772—21no—
286#14581772—21no—
287#14581772—21no—
288#14581772C2311yescharacteristic
289#14581771C2311yescharacteristic
290#14581770—21no—
291#14581770—21no—
292#14581770—21no—
293#14581769D411yescharacteristic
294#14581768—21no—
295#14581768—21no—
296#14581768—21no—
297#14581767—21no—
298#14581767—21no—
299#14581767—21no—
300#14581767—21no—
301#14581767—21no—
302#14581767C2311yescharacteristic
303#14581767C2311yescharacteristic
304#14581767C2311yescharacteristic
305#14581766—21no—
306#14581766C2311yescharacteristic
307#14581766C2311yescharacteristic
308#14581766C2311yescharacteristic
309#14581765—21no—
310#14581765—21no—
311#14581765—21no—
312#14581764—21no—
313#14581764D411yescharacteristic
314#14581763—21no—
315#14581763—21no—
316#14581762—21no—
317#14581762—21no—
318#14581762—21no—
319#14581762—21no—
320#14581762—21no—
321#14581760—21no—
322#14581760—21no—
323#14581760—21no—
324Q8×Dic83C2311yescharacteristic
325C4×Dic166C2311yescharacteristic
326#14581757C2311yescharacteristic
327#14581757C2311yescharacteristic
328C4×D332—21no—
329C4×D332—21no—
330C4×D332—21no—
331C4×D332—21no—
332C4×D332—21no—
333C4×D332C2311yescharacteristic
334C4×D332C2311yescharacteristic
335D4×Dic83—21no—
336D4×Dic83C2311yescharacteristic
337#14581754—21no—
338#14581754—21no—
339#14581754—21no—
340#14581754—21no—
341#14581754—21no—
342#14581754C2311yescharacteristic
343#14581754C2311yescharacteristic
344#14581754C2311yescharacteristic
345#14581754C2311yescharacteristic
346#14581754C2311yescharacteristic
347#14581754C2311yescharacteristic
348#14581754C2311yescharacteristic
349#14581754C2311yescharacteristic
350#14581754C2311yescharacteristic
351#14581754C2311yescharacteristic
352#14581754C2311yescharacteristic
353#14581754C2311yescharacteristic
354C4×C22⋊D83—21no—
355C4×C22⋊D83—21no—
356C4×C22⋊D83—21no—
357C4×C22⋊D83—21no—
358C4×C22⋊D83—21no—
359C4×C22⋊D83C2311yescharacteristic
360C4×C22⋊D83C2311yescharacteristic
361(C22⋊D83)⋊C4—21no—
362(C22⋊D83)⋊C4—21no—
363#14581751—21no—
364#14581751C2311yescharacteristic
365#14581750—21no—
366#14581750—21no—
367#14581750C2311yescharacteristic
368#14581749—21no—
369#14581749C2311yescharacteristic
370#14581748—21no—
371C4⋊C4×D83—21no—
372C4⋊C4×D83—21no—
373C4⋊C4×D83—21no—
374C4⋊C4×D83—21no—
375C4⋊C4×D83C2311yescharacteristic
376C2×(C2×D83)⋊C4—21no—
377C2×(C2×D83)⋊C4—21no—
378C2×(C2×D83)⋊C4—21no—
379C22⋊C4×D83—21no—
380C22⋊C4×D83—21no—
381C22⋊C4×D83—21no—
382C22⋊C4×D83—21no—
383C22⋊C4×D83—21no—
384C22⋊C4×D83—21no—
385C22⋊C4×D83—21no—
386C2×C4×Dic83C2311yescharacteristic
387#14581725C2311yescharacteristic
388#14581725C2311yescharacteristic
389#14581725C2311yescharacteristic
390#14581725C2311yescharacteristic
391#14581724C2311yescharacteristic
392#14581723C2311yescharacteristic
393#14581723C2311yescharacteristic
394C4⋊(C83⋊C8)C2311yescharacteristic
395Dic83⋊C8C2311yescharacteristic
396Dic83⋊C8C2311yescharacteristic
397Dic83⋊C8C2311yescharacteristic
398Dic83⋊C8C2311yescharacteristic
399#14581717C2311yescharacteristic
400#14581716C2311yescharacteristic
401#14581715C2311yescharacteristic
402#14581715C2311yescharacteristic
403#14581715C2311yescharacteristic
404#14581714C2311yescharacteristic
405#14581714C2311yescharacteristic
406#14581714C2311yescharacteristic
407#14581714C2311yescharacteristic
408#14581714C2311yescharacteristic
409#14581713C2311yescharacteristic
410#14581712C2311yescharacteristic
411#14581712C2311yescharacteristic
412#14581712C2311yescharacteristic
413#14581712C2311yescharacteristic
414#14581712C2311yescharacteristic
415#14581712C2311yescharacteristic
416#14581712C2311yescharacteristic
417#14581712C2311yescharacteristic
418#14581712C2311yescharacteristic
419#14581712C2311yescharacteristic
420#14581712C2311yescharacteristic
421#14581712C2311yescharacteristic
422#14581712C2311yescharacteristic
423#14581712C2311yescharacteristic
424#14581712C2311yescharacteristic
425C22⋊(C83⋊C8)C2311yescharacteristic
426C22⋊(C83⋊C8)C2311yescharacteristic
427(C2×D83)⋊C8C2311yescharacteristic
428(C2×D83)⋊C8C2311yescharacteristic
429#14581702C2311yescharacteristic
430#14581702C2311yescharacteristic
431#14581702C2311yescharacteristic
432C4×C83⋊C8C2311yescharacteristic
433C8×Dic83C2311yescharacteristic
434C8×Dic83C2311yescharacteristic
435C8×Dic83C2311yescharacteristic
436C8×Dic83C2311yescharacteristic
437C8×Dic83C2311yescharacteristic
438C2×#41×C83—21no—
439C2×SD16×C83C2311yescharacteristic
440C2×M16×C83C2311yescharacteristic
441C22×C8×C83C2311yescharacteristic
442C4⋊Q8×C83C2311yescharacteristic
443#126×C83—21no—
444#125×C83—21no—
445#125×C83C2311yescharacteristic
446#123×C83—21no—
447#123×C83—21no—
448#123×C83—21no—
449C22⋊Q8×C83—21no—
450C22⋊Q8×C83C2311yescharacteristic
451C22⋊Q8×C83C2311yescharacteristic
452#121×C83C2311yescharacteristic
453#121×C83C2311yescharacteristic
454C4×Q8×C83C2311yescharacteristic
455C4×D4×C83C2311yescharacteristic
456C4×D4×C83C2311yescharacteristic
457#117×C83—21no—
458#117×C83C2311yescharacteristic
459C2×C4⋊C4×C83C2311yescharacteristic
460C2×C4⋊C4×C83C2311yescharacteristic
461C2×C4⋊C4×C83C2311yescharacteristic
462#107×C83C2311yescharacteristic
463#107×C83C2311yescharacteristic
464#107×C83C2311yescharacteristic
465#107×C83C2311yescharacteristic
466#107×C83C2311yescharacteristic
467#107×C83C2311yescharacteristic
468#106×C83C2311yescharacteristic
469#106×C83C2311yescharacteristic
470#106×C83C2311yescharacteristic
471C4⋊C8×C83C2311yescharacteristic
472#103×C83C2311yescharacteristic
473#103×C83C2311yescharacteristic
474#103×C83C2311yescharacteristic
475#102×C83C2311yescharacteristic
476#102×C83C2311yescharacteristic
477#102×C83C2311yescharacteristic
478C22⋊C8×C83C2311yescharacteristic
479C22⋊C8×C83C2311yescharacteristic
480#97×C83C2311yescharacteristic
481C23×D83—21no—
482C23×D83—21no—
483C23×D83—21no—
484C23×D83—21no—
485#13050591—22no—
486#13050591—41no—
487#13050590—22no—
488#13050590—41no—
489#13050590—82no—
490C2×Dic166—21no—
491C2×Dic166C2×D411yescharacteristic
492C2×Dic166C2411yescharacteristic
493C2×D332—22no—
494C2×D332—22no—
495C2×D332—22no—
496C2×D332—21no—
497C2×D332—21no—
498C2×D332—21no—
499C2×D332—21no—
500C2×D332—21no—
501C2×D332—21no—
502C2×D332—21no—
503C2×D332—21no—
504C2×D332—21no—
505C2×D332—41no—
506C2×D332—41no—
507C2×D332—41no—
508C2×D332C2411yescharacteristic
509C2×D332C2411yescharacteristic
510C2×D332C2411yescharacteristic
511C2×D332C2411yescharacteristic
512C2×D332C2411yescharacteristic
513C2×C22⋊D83—21no—
514C2×C22⋊D83—21no—
515C2×C22⋊D83—21no—
516C2×C22⋊D83—21no—
517C2×C22⋊D83—21no—
518C2×C22⋊D83—21no—
519C2×C22⋊D83—21no—
520C2×C22⋊D83C2×D411yescharacteristic
521C2×C22⋊D83C2×D411yescharacteristic
522D4×D83—22no—
523D4×D83—41no—
524D4×D83—82no—
525D4×D83—82no—
526C22×Dic83—21no—
527C22×Dic83C2×D411yescharacteristic
528C22×Dic83C2×D411yescharacteristic
529C2×C4×D83—21no—
530C2×C4×D83—21no—
531C2×C4×D83—21no—
532C2×C4×D83—21no—
533C2×C4×D83—21no—
534C2×C4×D83—21no—
535C2×C4×D83—21no—
536C2×C4×D83—21no—
537C2×C4×D83—21no—
538C2×C4×D83—21no—
539C2×C4×D83—21no—
540C2×C4×D83—21no—
541C2×C4×D83—21no—
542C2×C4×D83—21no—
543C2×C4×D83—21no—
544C2×C4×D83—21no—
545C2×C4×D83—21no—
546C2×C4×D83—82no—
547C2×C4×D83—82no—
548C2×C4×D83C2411yescharacteristic
549#13050580—41no—
550#13050579—22no—
551#13050579—22no—
552#13050579—41no—
553#13050577—22no—
554#13050577—41no—
555D664—22no—
556D664—22no—
557D664—22no—
558D664—22no—
559D664—41no—
560D664#4114yescomplemented
561#13050575—22no—
562#13050575—41no—
563#13050575—41no—
564#13050573—22no—
565C2×C83⋊C8—41no—
566C2×C83⋊C8—41no—
567C2×C83⋊C8C2411yescharacteristic
568C2×C83⋊C8C2411yescharacteristic
569C2×C83⋊C8C2411yescharacteristic
570C2×C83⋊C8C2411yescharacteristic
571C8×D83—41no—
572C4⋊Dic83—21no—
573C4⋊Dic83—21no—
574C4⋊Dic83—21no—
575C4⋊Dic83—21no—
576C4⋊Dic83—21no—
577C4⋊Dic83C2×D411yescharacteristic
578C4⋊Dic83C2×D411yescharacteristic
579C4⋊Dic83C2×D411yescharacteristic
580C4⋊Dic83C2411yescharacteristic
581C4⋊Dic83C2411yescharacteristic
582Dic83⋊C4—21no—
583Dic83⋊C4—21no—
584Dic83⋊C4—21no—
585Dic83⋊C4—21no—
586Dic83⋊C4—21no—
587Dic83⋊C4—21no—
588Dic83⋊C4—21no—
589Dic83⋊C4—21no—
590Dic83⋊C4C2×D411yescharacteristic
591Dic83⋊C4C2×D411yescharacteristic
592Dic83⋊C4C2×D411yescharacteristic
593Dic83⋊C4C2×D411yescharacteristic
594Dic83⋊C4C2×D411yescharacteristic
595Dic83⋊C4C2×D411yescharacteristic
596C22⋊Dic83—21no—
597C22⋊Dic83—21no—
598C22⋊Dic83—21no—
599C22⋊Dic83—21no—
600C22⋊Dic83C2×D411yescharacteristic
601C22⋊Dic83C2×D411yescharacteristic
602C22⋊Dic83C2×D411yescharacteristic
603C22⋊Dic83C2×D411yescharacteristic
604(C2×D83)⋊C4—21no—
605(C2×D83)⋊C4—21no—
606(C2×D83)⋊C4—21no—
607(C2×D83)⋊C4—21no—
608(C2×D83)⋊C4—21no—
609(C2×D83)⋊C4—21no—
610(C2×D83)⋊C4—21no—
611(C2×D83)⋊C4—21no—
612(C2×D83)⋊C4—21no—
613(C2×D83)⋊C4—21no—
614(C2×D83)⋊C4—21no—
615(C2×D83)⋊C4—21no—
616(C2×D83)⋊C4—21no—
617(C2×D83)⋊C4—21no—
618(C2×D83)⋊C4—21no—
619(C2×D83)⋊C4—21no—
620(C2×D83)⋊C4—21no—
621(C2×D83)⋊C4—21no—
622(C2×D83)⋊C4—21no—
623(C2×D83)⋊C4—21no—
624(C2×D83)⋊C4—21no—
625(C2×D83)⋊C4—21no—
626(C2×D83)⋊C4—21no—
627(C2×D83)⋊C4—21no—
628(C2×D83)⋊C4—21no—
629(C2×D83)⋊C4—21no—
630(C2×D83)⋊C4—21no—
631(C2×D83)⋊C4—21no—
632(C2×D83)⋊C4C2×D411yescharacteristic
633(C2×D83)⋊C4C2×D411yescharacteristic
634(C2×D83)⋊C4C2×D411yescharacteristic
635(C2×D83)⋊C4C2×D411yescharacteristic
636C4×Dic83—21no—
637C4×Dic83—21no—
638C4×Dic83—21no—
639C4×Dic83—21no—
640C4×Dic83C2×D411yescharacteristic
641C4×Dic83C2×D411yescharacteristic
642C4×Dic83C2411yescharacteristic
643C4×Dic83C2411yescharacteristic
644C4×Dic83C2411yescharacteristic
645#41×C83—82no—
646C2×Q8×C83—21no—
647C2×Q8×C83C2411yescharacteristic
648C2×D4×C83—21no—
649C2×D4×C83—21no—
650C2×D4×C83C2×D411yescharacteristic
651C2×D4×C83C2411yescharacteristic
652C22×C4×C83—21no—
653C22×C4×C83—21no—
654C22×C4×C83—21no—
655C22×C4×C83—21no—
656C22×C4×C83C2411yescharacteristic
657C22×C4×C83C2411yescharacteristic
658SD16×C83—22no—
659M16×C83—22no—
660C2×C8×C83—22no—
661C2×C8×C83C2411yescharacteristic
662C2×C8×C83C2411yescharacteristic
663C2×C8×C83C2411yescharacteristic
664C2×C8×C83C2411yescharacteristic
665C4⋊C4×C83—21no—
666C4⋊C4×C83—21no—
667C4⋊C4×C83—21no—
668C4⋊C4×C83—21no—
669C4⋊C4×C83—21no—
670C4⋊C4×C83—21no—
671C4⋊C4×C83—21no—
672C4⋊C4×C83—21no—
673C4⋊C4×C83—21no—
674C4⋊C4×C83C2×D411yescharacteristic
675C4⋊C4×C83C2411yescharacteristic
676C4⋊C4×C83C2411yescharacteristic
677C4⋊C4×C83C2411yescharacteristic
678C4⋊C4×C83C2411yescharacteristic
679C4⋊C4×C83C2411yescharacteristic
680C4⋊C4×C83C2411yescharacteristic
681C22⋊C4×C83—21no—
682C22⋊C4×C83—21no—
683C22⋊C4×C83—21no—
684C22⋊C4×C83—21no—
685C22⋊C4×C83—21no—
686C22⋊C4×C83—21no—
687C22⋊C4×C83C2×D411yescharacteristic
688C22⋊C4×C83C2×D411yescharacteristic
689C42×C83—21no—
690C42×C83—21no—
691C42×C83C2411yescharacteristic
692C23×C83—21no—
693C23×C83C22×D411yescharacteristic
694C23×C83C22×D411yescharacteristic
695C22×D83—21no—
696C22×D83—21no—
697C22×D83—21no—
698C22×D83—21no—
699C22×D83—21no—
700C22×D83—42no—
701C22×D83—42no—
702C22×D83—42no—
703C22×D83—42no—
704C22×D83—42no—
705C22×D83—42no—
706C22×D83—81no—
707C22×D83—81no—
708C22×D83—81no—
709C22×D83—81no—
710C22×D83—81no—
711C22×D83—81no—
712C22×D83C22×D411yescharacteristic
713Q8×C83—21no—
714Q8×C83—21no—
715Q8×C83—81no—
716D4×C83—22no—
717D4×C83—21no—
718D4×C83—21no—
719D4×C83—42no—
720D4×C83—81no—
721C2×C4×C83—21no—
722C2×C4×C83—21no—
723C2×C4×C83—21no—
724C2×C4×C83—21no—
725C2×C4×C83—21no—
726C2×C4×C83—21no—
727C2×C4×C83—21no—
728C2×C4×C83—21no—
729C2×C4×C83—21no—
730C2×C4×C83—21no—
731C2×C4×C83—21no—
732C2×C4×C83—42no—
733C2×C4×C83—42no—
734C2×C4×C83—81no—
735C2×C4×C83—81no—
736C2×C4×C83C22×D411yescharacteristic
737C2×C4×C83C22×D411yescharacteristic
738C2×C4×C83C22×D411yescharacteristic
739C2×C4×C83C22×D411yescharacteristic
740C2×C4×C83C2511yescharacteristic
741C22⋊D83—22no—
742C22⋊D83—41no—
743C22⋊D83—42no—
744C22⋊D83—42no—
745C22⋊D83—42no—
746C22⋊D83—81no—
747C22⋊D83—81no—
748C22⋊D83—81no—
749C22⋊D83—81no—
750C2×Dic83—22no—
751C2×Dic83—21no—
752C2×Dic83—21no—
753C2×Dic83—21no—
754C2×Dic83—41no—
755C2×Dic83—81no—
756C2×Dic83C22×D411yescharacteristic
757C2×Dic83C22×D411yescharacteristic
758C2×Dic83C22×D411yescharacteristic
759C2×Dic83C22×D411yescharacteristic
760C2×Dic83C22×D411yescharacteristic
761C2×Dic83C22×D411yescharacteristic
762C2×Dic83C22×D411yescharacteristic
763D332—21no—
764D332—21no—
765D332—21no—
766D332—21no—
767D332—21no—
768D332—21no—
769D332—21no—
770D332—21no—
771D332—42no—
772D332—42no—
773D332—42no—
774D332—42no—
775D332—81no—
776D332—81no—
777D332—81no—
778D332—81no—
779D332—81no—
780D332C2×#4112yes—
781D332C2×#4112yes—
782C4×D83—21no—
783C4×D83—21no—
784C4×D83—42no—
785C4×D83—42no—
786C4×D83—81no—
787C4×D83—81no—
788C4×D83—81no—
789C4×D83—81no—
790C4×D83—81no—
791C4×D83—81no—
792C4×D83—81no—
793C4×D83—81no—
794C4×D83—81no—
795C4×D83—81no—
796C4×D83—81no—
797C4×D83—81no—
798C4×D83—81no—
799C4×D83—81no—
800C4×D83—81no—
801Dic166—21no—
802Dic166—21no—
803Dic166—41no—
804Dic166—81no—
805C8×C83—21no—
806C8×C83—21no—
807C8×C83—21no—
808C8×C83C2×#4112yes—
809C83⋊C8—21no—
810C83⋊C8—21no—
811C83⋊C8—21no—
812C83⋊C8—21no—
813C22×C83—21no—
814C22×C83—21no—
815C22×C83—21no—
816C22×C83—21no—
817C22×C83—21no—
818C22×C83—41no—
819C22×C83—41no—
820C22×C83—41no—
821C22×C83#57612yes—
822C22×C83C23×D411yescharacteristic
823C2×D83—21no—
824C2×D83—21no—
825C2×D83—22no—
826C2×D83—22no—
827C2×D83—21no—
828C2×D83—41no—
829C2×D83—41no—
830C2×D83—41no—
831C2×D83—41no—
832C2×D83—41no—
833C2×D83—41no—
834C2×D83—41no—
835C2×D83—41no—
836C2×D83—41no—
837C2×D83—41no—
838C2×D83—41no—
839C2×D83—41no—
840C2×D83—41no—
841C2×D83—84no—
842C2×D83—84no—
843C2×D83—162no—
844C2×D83—162no—
845C4×C83—21no—
846C4×C83—21no—
847C4×C83—21no—
848C4×C83—21no—
849C4×C83—41no—
850C4×C83—41no—
851C4×C83—41no—
852C4×C83—41no—
853C4×C83—41no—
854C4×C83—41no—
855C4×C83—41no—
856C4×C83C22×#4111yescharacteristic
857C4×C83#58511yescharacteristic
858Dic83—21no—
859Dic83—21no—
860Dic83—21no—
861Dic83—21no—
862Dic83—21no—
863Dic83—21no—
864Dic83—21no—
865Dic83—41no—
866Dic83—41no—
867Dic83—41no—
868#61489—831nomaximal, Sylow
869C2×C83—22no—
870C2×C83—41no—
871C2×C83—81no—
872C2×C83D4×#4111yescharacteristic
873C2×C83C2×#57611yescharacteristic
874C2×C83#358411yescharacteristic
875D83—41no—
876D83—42no—
877D83—42no—
878D83—81no—
879D83—81no—
880D83—81no—
881#3513—831no—
882#3513—831no—
883#3403—831no—
884#3389—831no—
885#3361—831no—
886#3361—831no—
887#3355—831no—
888#3343—831no—
889#3343D8311yescharacteristic, complemented
890#3297—831no—
891#3297—831no—
892#3296—831no—
893#3296—831no—
894#3294—831no—
895#3294—831no—
896#3273—831no—
897#3264—831no—
898#3264—831no—
899#3179—831no—
900#3179—831no—
901#3168—831no—
902#3124—831no—
903#3124—831no—
904#3122—831no—
905#3122—831no—
906#3114—831no—
907#3114—831no—
908#2966—831no—
909#2946—831no—
910#2946—831no—
911C2×C4×D8—831no—
912C83#6148911yescharacteristic, complemented, Sylow
913C2×AGL(1,ℤ/8)—831no—
914C2×AGL(1,ℤ/8)—831no—
915C22×D8—831no—
916#559—831no—
917#559—831no—
918#554—831no—
919#554—831no—
920#553—831no—
921#553—831no—
922#553—1661no—
923#553—1661no—
924#552—831no—
925#552C2×D8311yescharacteristic, complemented
926#551—1661no—
927#551—1661no—
928#551—1661no—
929#551—1661no—
930#547—831no—
931#547C2×D8311yescharacteristic
932#546—831no—
933#546—831no—
934#546—831no—
935#546—831no—
936#546—1661no—
937#546—1661no—
938D42—831no—
939D42—831no—
940#542—831no—
941#542—831no—
942#540—831no—
943#540—831no—
944#539—1661no—
945#539—1661no—
946#538—1661no—
947#538—1661no—
948#529—831no—
949#529—831no—
950#529—831no—
951#525—1661no—
952#525—1661no—
953C2×#123—1661no—
954C2×#123—1661no—
955#520—831no—
956#520—831no—
957#518—831no—
958#518—831no—
959C2×C4×D4—831no—
960C2×C4×D4—831no—
961#501—831no—
962#501C2×D8311yescharacteristic, complemented
963#499—831no—
964#496—831no—
965#496—831no—
966#495—831no—
967#488—831no—
968#488—831no—
969#488—831no—
970#488—831no—
971#486—831no—
972#486—831no—
973#484—831no—
974#484C2×D8311yescharacteristic, complemented
975#483—831no—
976#483C2×D8311yescharacteristic, complemented
977#482—831no—
978#482—831no—
979#482—831no—
980#482C2×D8311yescharacteristic, complemented
981#480—831no—
982#480—831no—
983#480—831no—
984#480C2×D8311yescharacteristic, complemented
985#478—831no—
986#478—831no—
987#478—831no—
988#478—831no—
989#478—831no—
990#478—831no—
991#478—831no—
992#478C2×D8311yescharacteristic, complemented
993#477—831no—
994#477C2×D8311yescharacteristic, complemented
995#474—831no—
996#474—831no—
997#469—831no—
998#469—831no—
999#468—831no—
1000#468C2×D8311yescharacteristic, complemented
1001#467—831no—
1002#466—831no—
1003#466—831no—
1004#466—831no—
1005#465—831no—
1006#465—831no—
1007#465—831no—
1008#465C2×D8311yescharacteristic, complemented
1009#464—831no—
1010#464—831no—
1011#463—831no—
1012#463—831no—
1013#463—831no—
1014#463—831no—
1015#463—831no—
1016#463—831no—
1017#459—831no—
1018#459—831no—
1019#459—831no—
1020#459—831no—
1021#452—831no—
1022#452—831no—
1023#450—831no—
1024#450—831no—
1025#449—831no—
1026#449—831no—
1027#447—831no—
1028#447—831no—
1029#447—831no—
1030#447—831no—
1031#447—831no—
1032#447—831no—
1033#446—831no—
1034C8×Q8—831no—
1035#442—831no—
1036#442—831no—
1037#442—831no—
1038#442—831no—
1039#442—831no—
1040#442—831no—
1041#440—831no—
1042#440—831no—
1043#440—831no—
1044#440—831no—
1045#440—831no—
1046#440C2×D8311yescharacteristic, complemented
1047C4×Q16—831no—
1048C4×SD16—831no—
1049C4×SD16—831no—
1050C4×SD16—831no—
1051C4×SD16—831no—
1052C4×D8—831no—
1053C4×D8—831no—
1054C4×D8—831no—
1055C4×D8—831no—
1056C4×D8—831no—
1057C4×D8—831no—
1058C4×D8—831no—
1059C4×D8—831no—
1060C4×D8—831no—
1061C4×D8—831no—
1062C4×D8—831no—
1063#436—831no—
1064#435—831no—
1065#435C2×D8311yescharacteristic, complemented
1066C8×D4—831no—
1067C8×D4—831no—
1068C8×D4—831no—
1069#433—831no—
1070#433—831no—
1071#432—831no—
1072#428—831no—
1073#428C2×D8311yescharacteristic, complemented
1074C2×#107C2×D8311yescharacteristic, complemented
1075#416—831no—
1076#416—831no—
1077C2×#102—831no—
1078C2×#102—831no—
1079C2×#102—831no—
1080C2×#102—831no—
1081#405—831no—
1082#405—831no—
1083C2×C4×C8—831no—
1084C2×#41—21no—
1085C2×#41—831no—
1086C2×#41—831no—
1087C2×#41—1661no—
1088C22×D4—831no—
1089C22×D4—831no—
1090C22×D4—831no—
1091C22×D4—831no—
1092C22×D4—1661no—
1093C22×D4—1661no—
1094C23×C4—1661no—
1095C23×C4—1661no—
1096AGL(1,ℤ/8)—1664no—
1097AGL(1,ℤ/8)—1664no—
1098C2×Q16—831no—
1099C2×SD16—831no—
1100C2×SD16—831no—
1101C2×SD16—831no—
1102C2×SD16—831no—
1103C2×SD16—831no—
1104C2×SD16C22×D8311yescharacteristic
1105C2×D8—831no—
1106C2×D8—831no—
1107C2×D8—831no—
1108C2×D8—831no—
1109C2×D8—831no—
1110C2×D8—831no—
1111C2×D8—831no—
1112C2×D8—831no—
1113C2×D8—831no—
1114C2×D8—1664no—
1115C2×M16—831no—
1116C2×M16C22×D8311yescharacteristic
1117C22×C8—831no—
1118C22×C8—831no—
1119C22×C8—831no—
1120C22×C8C22×D8311yescharacteristic
1121C4⋊Q8—831no—
1122C4⋊Q8C22×D8311yescharacteristic
1123#127—831no—
1124#127—831no—
1125#126—21no—
1126#126—831no—
1127#126—831no—
1128#126—1661no—
1129#126—1661no—
1130#126—1661no—
1131#126—1661no—
1132#126—1661no—
1133#126—1661no—
1134#126—1661no—
1135#125—21no—
1136#125—831no—
1137#125—831no—
1138#125—831no—
1139#125—831no—
1140#125—1661no—
1141#125C22×D8311yescharacteristic
1142#124—831no—
1143#124—831no—
1144#124—831no—
1145#124—831no—
1146#124—831no—
1147#124—1661no—
1148#124—1661no—
1149#124—1661no—
1150#124—1661no—
1151#123—21no—
1152#123—21no—
1153#123—21no—
1154#123—831no—
1155#123—831no—
1156#123—1661no—
1157#123—1661no—
1158#123—1661no—
1159#123—1661no—
1160#123—1661no—
1161#123—1661no—
1162#123—1661no—
1163#123—1661no—
1164#123—1661no—
1165#123—1661no—
1166#123—1661no—
1167#123—1661no—
1168#123—1661no—
1169#123—1661no—
1170#123—1661no—
1171#123—1661no—
1172#123—1661no—
1173#123—1661no—
1174#123—1661no—
1175#123—1661no—
1176#123—1661no—
1177C22⋊Q8—21no—
1178C22⋊Q8—831no—
1179C22⋊Q8—831no—
1180C22⋊Q8—831no—
1181C22⋊Q8—1661no—
1182C22⋊Q8—1661no—
1183C22⋊Q8—1661no—
1184C22⋊Q8—1661no—
1185C22⋊Q8—1661no—
1186C22⋊Q8—1661no—
1187C22⋊Q8—1661no—
1188C22⋊Q8—1661no—
1189C22⋊Q8—1661no—
1190C22⋊Q8C22×D8311yescharacteristic
1191C22⋊Q8C22×D8311yescharacteristic
1192#121—831no—
1193#121—831no—
1194#121—831no—
1195#121—831no—
1196#121—831no—
1197#121—831no—
1198#121—831no—
1199#121—1661no—
1200#121—1661no—
1201#121—1661no—
1202#121—1661no—
1203#121—1661no—
1204#121—1661no—
1205#121—1661no—
1206#121—1661no—
1207#121—1661no—
1208#121—1661no—
1209#121—1661no—
1210#121—1661no—
1211#121C22×D8311yescharacteristic
1212#121C22×D8311yescharacteristic
1213#120—1661no—
1214#120—1661no—
1215#120—1661no—
1216#120—1661no—
1217#120—1661no—
1218#120—1661no—
1219#120—1661no—
1220#120—1661no—
1221C4×Q8—831no—
1222C4×Q8—831no—
1223C4×Q8—831no—
1224C4×Q8—831no—
1225C4×Q8C22×D8311yescharacteristic
1226C4×D4—831no—
1227C4×D4—831no—
1228C4×D4—831no—
1229C4×D4—831no—
1230C4×D4—831no—
1231C4×D4—831no—
1232C4×D4—831no—
1233C4×D4—831no—
1234C4×D4—831no—
1235C4×D4—831no—
1236C4×D4—831no—
1237C4×D4—831no—
1238C4×D4—831no—
1239C4×D4—831no—
1240C4×D4—831no—
1241C4×D4—831no—
1242C4×D4—831no—
1243C4×D4—1661no—
1244C4×D4—1661no—
1245C4×D4—1661no—
1246C4×D4—1661no—
1247C4×D4—1661no—
1248C4×D4—1661no—
1249C4×D4—1661no—
1250C4×D4—1661no—
1251C4×D4—1661no—
1252C4×D4—1661no—
1253C4×D4—1661no—
1254C4×D4—1661no—
1255C4×D4—1661no—
1256C4×D4—1661no—
1257C4×D4—1661no—
1258C4×D4—1661no—
1259C4×D4—1661no—
1260C4×D4—1661no—
1261C4×D4C22×D8311yescharacteristic
1262C4×D4C22×D8311yescharacteristic
1263#117—21no—
1264#117—831no—
1265#117—831no—
1266#117—831no—
1267#117—1661no—
1268#117—1661no—
1269#117—1661no—
1270#117—1661no—
1271#117—1661no—
1272#117C22×D8311yescharacteristic
1273C2×C4⋊C4—831no—
1274C2×C4⋊C4—1661no—
1275C2×C4⋊C4—1661no—
1276C2×C4⋊C4—1661no—
1277C2×C4⋊C4—1661no—
1278C2×C4⋊C4C22×D8311yescharacteristic
1279C2×C4⋊C4C22×D8311yescharacteristic
1280C2×C4⋊C4C22×D8311yescharacteristic
1281C2×C22⋊C4—1661no—
1282C2×C22⋊C4—1661no—
1283C2×C22⋊C4—1661no—
1284C2×C22⋊C4—1661no—
1285C2×C22⋊C4—1661no—
1286C2×C22⋊C4—1661no—
1287C2×C22⋊C4—1661no—
1288C2×C22⋊C4—1661no—
1289C2×C22⋊C4—1661no—
1290C2×C22⋊C4—1661no—
1291C2×C42—831no—
1292#107—831no—
1293#107—831no—
1294#107—831no—
1295#107—831no—
1296#107C22×D8311yescharacteristic
1297#107C22×D8311yescharacteristic
1298#107C22×D8311yescharacteristic
1299#107C22×D8311yescharacteristic
1300#107C22×D8311yescharacteristic
1301#107C22×D8311yescharacteristic
1302#106—831no—
1303#106—831no—
1304#106—831no—
1305#106C22×D8311yescharacteristic
1306#106C22×D8311yescharacteristic
1307#106C22×D8311yescharacteristic
1308C4⋊C8—831no—
1309C4⋊C8—831no—
1310C4⋊C8—831no—
1311C4⋊C8—831no—
1312C4⋊C8—831no—
1313C4⋊C8C22×D8311yescharacteristic
1314#103—831no—
1315#103—831no—
1316#103—831no—
1317#103—831no—
1318#103—831no—
1319#103C22×D8311yescharacteristic
1320#103C22×D8311yescharacteristic
1321#103C22×D8311yescharacteristic
1322#102—831no—
1323#102—831no—
1324#102—831no—
1325#102—831no—
1326#102—831no—
1327#102—831no—
1328#102—831no—
1329#102—831no—
1330#102—831no—
1331#102—831no—
1332#102—831no—
1333#102—831no—
1334#102—831no—
1335#102—831no—
1336#102—831no—
1337#102—831no—
1338#102—831no—
1339#102—831no—
1340#102—831no—
1341#102—831no—
1342#102—831no—
1343#102C22×D8311yescharacteristic
1344#102C22×D8311yescharacteristic
1345#102C22×D8311yescharacteristic
1346C22⋊C8—831no—
1347C22⋊C8—831no—
1348C22⋊C8—831no—
1349C22⋊C8—831no—
1350C22⋊C8C22×D8311yescharacteristic
1351C22⋊C8C22×D8311yescharacteristic
1352#97—831no—
1353#97—831no—
1354#97—831no—
1355#97C22×D8311yescharacteristic
1356C4×C8—831no—
1357C4×C8—831no—
1358C4×C8—831no—
1359C4×C8—831no—
1360C4×C8—831no—
1361C4×C8—831no—
1362C24—1661no—
1363C24—1661no—
1364C24—1661no—
1365C24—1661no—
1366#41—82no—
1367#41—3321no—
1368#41—3321no—
1369#41—6642no—
1370#41—1662no—
1371#41—1662no—
1372C2×Q8—21no—
1373C2×Q8—831no—
1374C2×Q8—831no—
1375C2×Q8—1661no—
1376C2×Q8C23×D8311yescharacteristic
1377C2×D4—21no—
1378C2×D4—21no—
1379C2×D4—3321no—
1380C2×D4—3321no—
1381C2×D4—3321no—
1382C2×D4—3321no—
1383C2×D4—831no—
1384C2×D4—831no—
1385C2×D4—831no—
1386C2×D4—831no—
1387C2×D4—831no—
1388C2×D4—831no—
1389C2×D4—831no—
1390C2×D4—6642no—
1391C2×D4—6642no—
1392C2×D4—1661no—
1393C2×D4—1662no—
1394C2×D4—1662no—
1395C2×D4—1662no—
1396C2×D4—1661no—
1397C2×D4—1661no—
1398C2×D4—1661no—
1399C2×D4—1661no—
1400C2×D4—1661no—
1401C2×D4—1661no—
1402C2×D4—1662no—
1403C2×D4—1661no—
1404C2×D4—1661no—
1405C2×D4—1661no—
1406C2×D4—1661no—
1407C2×D4—1661no—
1408C2×D4—1661no—
1409C2×D4—1661no—
1410C2×D4—1661no—
1411C2×D4—1661no—
1412C2×D4D4×D8311yescharacteristic
1413C2×D4C23×D8311yescharacteristic
1414C22×C4—21no—
1415C22×C4—21no—
1416C22×C4—21no—
1417C22×C4—21no—
1418C22×C4—831no—
1419C22×C4—831no—
1420C22×C4—831no—
1421C22×C4—6642no—
1422C22×C4—6642no—
1423C22×C4—1661no—
1424C22×C4—1661no—
1425C22×C4—1661no—
1426C22×C4—1661no—
1427C22×C4—1661no—
1428C22×C4—1661no—
1429C22×C4—1661no—
1430C22×C4—1661no—
1431C22×C4—1661no—
1432C22×C4—1661no—
1433C22×C4—1661no—
1434C22×C4—1661no—
1435C22×C4—1661no—
1436C22×C4—1661no—
1437C22×C4—1661no—
1438C22×C4—1661no—
1439C22×C4—1661no—
1440C22×C4—1661no—
1441C22×C4C23×D8311yescharacteristic
1442C22×C4C23×D8311yescharacteristic
1443Q16—3321no—
1444SD16—22no—
1445SD16—3321no—
1446SD16—3321no—
1447SD16—1662no—
1448SD16—1662no—
1449SD16—1662no—
1450D8—3321no—
1451D8—3321no—
1452D8—3321no—
1453D8—834no—
1454D8—1662no—
1455D8—1662no—
1456D8—1662no—
1457D8—1662no—
1458D8—1662no—
1459M16—22no—
1460M16—1662no—
1461C2×C8—22no—
1462C2×C8—3321no—
1463C2×C8—3321no—
1464C2×C8—3321no—
1465C2×C8—831no—
1466C2×C8—831no—
1467C2×C8—831no—
1468C2×C8—831no—
1469C2×C8C23×D8311yescharacteristic
1470C2×C8C23×D8311yescharacteristic
1471C2×C8C23×D8311yescharacteristic
1472C2×C8C23×D8311yescharacteristic
1473C4⋊C4—21no—
1474C4⋊C4—21no—
1475C4⋊C4—21no—
1476C4⋊C4—21no—
1477C4⋊C4—21no—
1478C4⋊C4—21no—
1479C4⋊C4—21no—
1480C4⋊C4—21no—
1481C4⋊C4—21no—
1482C4⋊C4—831no—
1483C4⋊C4—831no—
1484C4⋊C4—831no—
1485C4⋊C4—831no—
1486C4⋊C4—831no—
1487C4⋊C4—831no—
1488C4⋊C4—831no—
1489C4⋊C4—831no—
1490C4⋊C4—831no—
1491C4⋊C4—831no—
1492C4⋊C4—831no—
1493C4⋊C4—1661no—
1494C4⋊C4—1661no—
1495C4⋊C4—1661no—
1496C4⋊C4—1661no—
1497C4⋊C4—1661no—
1498C4⋊C4—1661no—
1499C4⋊C4—1661no—
1500C4⋊C4—1661no—
1501C4⋊C4—1661no—
1502C4⋊C4—1661no—
1503C4⋊C4—1661no—
1504C4⋊C4—1661no—
1505C4⋊C4—1661no—
1506C4⋊C4D4×D8311yescharacteristic
1507C4⋊C4C23×D8311yescharacteristic
1508C4⋊C4C23×D8311yescharacteristic
1509C4⋊C4C23×D8311yescharacteristic
1510C4⋊C4C23×D8311yescharacteristic
1511C4⋊C4C23×D8311yescharacteristic
1512C4⋊C4C23×D8311yescharacteristic
1513C22⋊C4—21no—
1514C22⋊C4—21no—
1515C22⋊C4—21no—
1516C22⋊C4—21no—
1517C22⋊C4—21no—
1518C22⋊C4—21no—
1519C22⋊C4—831no—
1520C22⋊C4—831no—
1521C22⋊C4—831no—
1522C22⋊C4—831no—
1523C22⋊C4—831no—
1524C22⋊C4—831no—
1525C22⋊C4—831no—
1526C22⋊C4—831no—
1527C22⋊C4—1661no—
1528C22⋊C4—1661no—
1529C22⋊C4—1661no—
1530C22⋊C4—1661no—
1531C22⋊C4—1661no—
1532C22⋊C4—1661no—
1533C22⋊C4—1661no—
1534C22⋊C4—1661no—
1535C22⋊C4—1661no—
1536C22⋊C4—1661no—
1537C22⋊C4—1661no—
1538C22⋊C4—1661no—
1539C22⋊C4—1661no—
1540C22⋊C4—1661no—
1541C22⋊C4—1661no—
1542C22⋊C4—1661no—
1543C22⋊C4—1661no—
1544C22⋊C4—1661no—
1545C22⋊C4—1661no—
1546C22⋊C4—1661no—
1547C22⋊C4—1661no—
1548C22⋊C4—1661no—
1549C22⋊C4—1661no—
1550C22⋊C4—1661no—
1551C22⋊C4—1661no—
1552C22⋊C4—1661no—
1553C22⋊C4—1661no—
1554C22⋊C4—1661no—
1555C22⋊C4—1661no—
1556C22⋊C4—1661no—
1557C22⋊C4—1661no—
1558C22⋊C4—1661no—
1559C22⋊C4D4×D8311yescharacteristic
1560C22⋊C4D4×D8311yescharacteristic
1561C42—21no—
1562C42—21no—
1563C42—831no—
1564C42—831no—
1565C42—831no—
1566C42—831no—
1567C42—831no—
1568C42—1661no—
1569C42—1661no—
1570C42—1661no—
1571C42—1661no—
1572C42C23×D8311yescharacteristic
1573C23—21no—
1574C23—3322no—
1575C23—3322no—
1576C23—3322no—
1577C23—3322no—
1578C23—3322no—
1579C23—3322no—
1580C23—831no—
1581C23—6641no—
1582C23—6641no—
1583C23—6641no—
1584C23—6641no—
1585C23—6641no—
1586C23—6641no—
1587C23—1661no—
1588C23—1661no—
1589C23—1661no—
1590C23—1661no—
1591C23—1661no—
1592C23C2×D4×D8311yescharacteristic
1593C23C2×D4×D8311yescharacteristic
1594Q8—21no—
1595Q8—21no—
1596Q8—81no—
1597Q8—3321no—
1598Q8—6641no—
1599Q8—1661no—
1600Q8—1661no—
1601D4—22no—
1602D4—21no—
1603D4—21no—
1604D4—42no—
1605D4—81no—
1606D4—3322no—
1607D4—3322no—
1608D4—3322no—
1609D4—3322no—
1610D4—3322no—
1611D4—3322no—
1612D4—3321no—
1613D4—3322no—
1614D4—832no—
1615D4—832no—
1616D4—6641no—
1617D4—6641no—
1618D4—6641no—
1619D4—6641no—
1620D4—6641no—
1621D4—6641no—
1622D4—6641no—
1623D4—6641no—
1624D4—6641no—
1625D4—1662no—
1626D4—1661no—
1627D4—1661no—
1628D4—1661no—
1629D4—1661no—
1630D4—1661no—
1631D4—1661no—
1632D4—1661no—
1633D4—1661no—
1634C2×C4—21no—
1635C2×C4—21no—
1636C2×C4—21no—
1637C2×C4—21no—
1638C2×C4—21no—
1639C2×C4—21no—
1640C2×C4—21no—
1641C2×C4—21no—
1642C2×C4—21no—
1643C2×C4—21no—
1644C2×C4—21no—
1645C2×C4—42no—
1646C2×C4—42no—
1647C2×C4—81no—
1648C2×C4—81no—
1649C2×C4—3322no—
1650C2×C4—3322no—
1651C2×C4—3321no—
1652C2×C4—831no—
1653C2×C4—831no—
1654C2×C4—831no—
1655C2×C4—831no—
1656C2×C4—831no—
1657C2×C4—831no—
1658C2×C4—831no—
1659C2×C4—6641no—
1660C2×C4—6641no—
1661C2×C4—6641no—
1662C2×C4—6641no—
1663C2×C4—6641no—
1664C2×C4—6641no—
1665C2×C4—6641no—
1666C2×C4—6641no—
1667C2×C4—6641no—
1668C2×C4—6641no—
1669C2×C4—6641no—
1670C2×C4—6641no—
1671C2×C4—6641no—
1672C2×C4—6641no—
1673C2×C4—6641no—
1674C2×C4—6641no—
1675C2×C4—1661no—
1676C2×C4—1661no—
1677C2×C4—1661no—
1678C2×C4—1662no—
1679C2×C4—1661no—
1680C2×C4—1661no—
1681C2×C4C2×D4×D8311yescharacteristic
1682C2×C4C2×D4×D8311yescharacteristic
1683C2×C4C2×D4×D8311yescharacteristic
1684C2×C4C2×D4×D8311yescharacteristic
1685C2×C4C24×D8311yescharacteristic
1686C8—21no—
1687C8—21no—
1688C8—21no—
1689C8—1661no—
1690C8—1661no—
1691C8—1661no—
1692C8—1661no—
1693C8#41×D8312yes—
1694C22—21no—
1695C22—21no—
1696C22—21no—
1697C22—21no—
1698C22—21no—
1699C22—41no—
1700C22—41no—
1701C22—41no—
1702C22—13282no—
1703C22—13282no—
1704C22—3321no—
1705C22—3321no—
1706C22—3321no—
1707C22—3321no—
1708C22—3321no—
1709C22—3321no—
1710C22—3321no—
1711C22—3321no—
1712C22—3321no—
1713C22—3321no—
1714C22—3321no—
1715C22—3321no—
1716C22—3321no—
1717C22—6644no—
1718C22—6644no—
1719C22—1661no—
1720C22—1662no—
1721C22—1662no—
1722C22—1661no—
1723C22—1661no—
1724C22#1912850512yes—
1725C22C22×D4×D8311yescharacteristic
1726C4—21no—
1727C4—21no—
1728C4—21no—
1729C4—21no—
1730C4—41no—
1731C4—41no—
1732C4—41no—
1733C4—41no—
1734C4—41no—
1735C4—41no—
1736C4—41no—
1737C4—3321no—
1738C4—3321no—
1739C4—3321no—
1740C4—1661no—
1741C4—1661no—
1742C4—1661no—
1743C4—1661no—
1744C4—1661no—
1745C4—1661no—
1746C4—1661no—
1747C4C2×#41×D8311yescharacteristic
1748C4#1912853811yescharacteristic
1749C2—22no—
1750C2—41no—
1751C2—81no—
1752C2—3321no—
1753C2—3322no—
1754C2—3322no—
1755C2—6641no—
1756C2—6641no—
1757C2—6641no—
1758C2#2492095011yescharacteristic
1759C2C2×#1912850511yescharacteristic
1760C2#2492223311yescharacteristic
subgroupG/H
centerC22C22×D4×D83
commutator, cosocleC2×C4×C83C25
FrattiniC2×C4C24×D83
FittingC83×#3343C2
socleC22×C83C23×D4
hypercenter#3343D83
hypocenterC83#61489
LCSG ▷ C2×C4×C83 ▷ C2×C83 ▷ C83
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3343

Complements

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

NH ≅ G/Ntype
1. #24921408C2semidirect
2. #24921398C2semidirect
3. #24920552C2semidirect
4. #24920418C2semidirect
5. #24920126C2semidirect
6. #24920122C2semidirect
7. #24920065C2semidirect
8. #24919899C2semidirect
9. #24919316C2semidirect
10. #24919311C2semidirect
11. #24919296C2semidirect
12. #24919292C2semidirect
13. #24919274C2semidirect
14. #24919270C2semidirect
15. #24919071C2semidirect
16. #24918948C2semidirect
17. #24918940C2semidirect
18. #24918151C2semidirect
19. #24918139C2semidirect
20. #24918026C2semidirect
21. #24917732C2semidirect
22. #24917728C2semidirect
23. #24917708C2semidirect
24. #24917702C2semidirect
25. #24917604C2semidirect
26. #24917598C2semidirect
27. #24916433C2semidirect
28. #24916294C2semidirect
29. #24916293C2semidirect
30. C2×#19127783C2semidirect
31. C83×#3343C2semidirect
35. #19128436C22semidirect
36. #19128434C22semidirect
37. #19128412C22semidirect
38. #19128407C22semidirect
40. #19128399C22semidirect
42. #19128395C22semidirect
43. #19128386C22semidirect
49. #19128348C22semidirect
53. #19128342C22semidirect
55. D4×D332C22semidirect
56. #19128335C22semidirect
57. #19128325C22semidirect
58. #19128324C22semidirect
59. #19128307C22semidirect
60. #19128304C22semidirect
65. #19128237C22semidirect
66. #19128232C22semidirect
72. #19128183C22semidirect
73. #19128182C22semidirect
74. #19128175C22semidirect
75. #19128173C22semidirect
76. C2×#14581754C22semidirect
77. C2×#14581754C22semidirect
78. #19128109C22semidirect
79. #19128101C22semidirect
80. #19128090C22semidirect
81. #19128087C22semidirect
82. #19128082C22semidirect
83. #19128058C22semidirect
84. #19128057C22semidirect
85. #19128057C22semidirect
86. #19128054C22semidirect
87. #19128049C22semidirect
88. #19128046C22semidirect
89. #19128038C22semidirect
90. #19128031C22semidirect
91. #19128028C22semidirect
92. #19128027C22semidirect
93. #19128025C22semidirect
94. #19128016C22semidirect
95. #19128014C22semidirect
96. #19128014C22semidirect
97. #19128004C22semidirect
98. #19128004C22semidirect
99. #19128004C22semidirect
100. #19128000C22semidirect
101. #19128000C22semidirect
102. #19128000C22semidirect
103. #19127998C22semidirect
104. #19127995C22semidirect
105. #19127980C22semidirect
106. #19127978C22semidirect
107. #19127955C22semidirect
108. #19127954C22semidirect
109. #19127948C22semidirect
110. #19127940C22semidirect
111. #19127938C22semidirect
113. #19127935C22semidirect
114. #19127932C22semidirect
115. #19127931C22semidirect
116. #19127930C22semidirect
117. #19127926C22semidirect
118. #19127923C22semidirect
119. #19127919C22semidirect
120. #19127919C22semidirect
121. #19127919C22semidirect
122. #19127917C22semidirect
123. #19127915C22semidirect
124. #19127915C22semidirect
126. #19127896C22semidirect
128. #19127895C22semidirect
129. #19127866C22semidirect
130. #19127861C22semidirect
131. #19127854C22semidirect
132. #19127851C22semidirect
136. #19127837C22semidirect
137. #19127836C22semidirect
138. #19127836C22semidirect
140. #19127834C22semidirect
141. #19127829C22semidirect
142. #19127825C22semidirect
145. #19127812C22semidirect
146. #19127812C22semidirect
147. #19127810C22semidirect
148. #19127810C22semidirect
149. #19127804C22semidirect
150. #19127804C22semidirect
151. #19127800C22semidirect
152. #19127800C22semidirect
153. #19127800C22semidirect
154. #19127793C22semidirect
155. SD16×Dic83C22semidirect
156. C4×#13050577C22semidirect
157. #19127788C22semidirect
158. #19127788C22semidirect
161. #19127783C22semidirect
162. #19127783C22semidirect
163. #19127783C22semidirect
164. #19127783C22semidirect
165. #19127783C22semidirect
166. #19127783C22semidirect
167. #19127783C22semidirect
168. C4×#13050575C22semidirect
169. #19127781C22semidirect
170. #19127777C22semidirect
171. #19127772C22semidirect
172. D4×C83⋊C8C22semidirect
173. (C22⋊D83)⋊C8C22semidirect
174. (C22⋊D83)⋊C8C22semidirect
175. #19127761C22semidirect
176. #19127759C22semidirect
177. #19127755C22semidirect
178. #19127742C22semidirect
179. #19127696C22semidirect
180. #19127695C22semidirect
181. C2×#14581712C22semidirect
182. C2×#14581712C22semidirect
183. C2×#14581712C22semidirect
184. #102×D83C22semidirect
185. #19127659C22semidirect
186. #19127658C22semidirect
187. C2×C8×Dic83C22semidirect
188. #552×C83C22semidirect
190. #501×C83C22semidirect
191. #484×C83C22semidirect
192. #483×C83C22semidirect
193. #482×C83C22semidirect
194. #480×C83C22semidirect
195. #478×C83C22semidirect
196. #477×C83C22semidirect
197. #468×C83C22semidirect
198. #465×C83C22semidirect
199. #440×C83C22semidirect
200. #435×C83C22semidirect
201. #428×C83C22semidirect
202. C2×#107×C83C22semidirect
560. D664#41semidirect
889. #3343D83semidirect
912. C83#61489semidirect
925. #552C2×D83semidirect
962. #501C2×D83semidirect
974. #484C2×D83semidirect
976. #483C2×D83semidirect
980. #482C2×D83semidirect
984. #480C2×D83semidirect
992. #478C2×D83semidirect
994. #477C2×D83semidirect
1000. #468C2×D83semidirect
1008. #465C2×D83semidirect
1046. #440C2×D83semidirect
1065. #435C2×D83semidirect
1073. #428C2×D83semidirect
1074. C2×#107C2×D83semidirect

Maximal subgroups

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

subgroupindex
#249214082
#249213982
#249205522
#249204182
#249201262
#249201222
#249200652
#249198992
#249193162
#249193112
#249192962
#249192922
#249192742
#249192702
#249190712
#249189482
#249189402
#249181512
#249181392
#249180262
#249177322
#249177282
#249177082
#249177022
#249176042
#249175982
#249164332
#249162942
#249162932
C2×#191277832
C83×#33432
#6148983