Finite Group Databasebeta

← #29466665

Subgroups — #29466665

Order 15104.

2116 conjugacy classes of subgroups.

The subgroup lattice has 1858 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21438010C211yesmaximal, characteristic, complemented
2#21437852C211yesmaximal, characteristic, complemented
3#21436316C211yesmaximal, characteristic, complemented
4#21436307C211yesmaximal, characteristic, complemented
5#21436300C211yesmaximal, characteristic, complemented
6#21436293C211yesmaximal, characteristic, complemented
7#21436237C211yesmaximal, characteristic, complemented
8#21436236C211yesmaximal, characteristic, complemented
9#21436197C211yesmaximal, characteristic, complemented
10#21436186C211yesmaximal, characteristic, complemented
11#21436124C211yesmaximal, characteristic, complemented
12#21436074C211yesmaximal, characteristic, complemented
13#21436069C211yesmaximal, characteristic, complemented
14#21435949C211yesmaximal, characteristic, complemented
15#21435942C211yesmaximal, characteristic, complemented
16#21435935C211yesmaximal, characteristic, complemented
17#21435926C211yesmaximal, characteristic, complemented
18#21434495C211yesmaximal, characteristic, complemented
19#21434088C211yesmaximal, characteristic, complemented
20#21434069C211yesmaximal, characteristic, complemented
21#478×D59C211yesmaximal, characteristic, complemented
22#21433764C211yesmaximal, characteristic, complemented
23#21433753C211yesmaximal, characteristic, complemented
24#21433546C211yesmaximal, characteristic, complemented
25#21433401C211yesmaximal, characteristic, complemented
26#21433401C211yesmaximal, characteristic, complemented
27#21432901C211yesmaximal, characteristic, complemented
28#21432837C211yesmaximal, characteristic, complemented
29#21432621C211yesmaximal, characteristic, complemented
30#21432617C211yesmaximal, characteristic, complemented
31C59×#3310C211yesmaximal, characteristic, complemented
32C2×#14273772C2211yescharacteristic
33C2×#14273772C2211yescharacteristic
34C2×#14273754C2211yescharacteristic
35C2×#14273748C2211yescharacteristic, complemented
36C2×#14273748C2211yescharacteristic, complemented
37C2×#14273735C2211yescharacteristic, complemented
38C2×#14273733C2211yescharacteristic, complemented
39#16838105—21no—
40#16838105C2211yescharacteristic, complemented
41#16838103—21no—
42#16838100C2211yescharacteristic, complemented
43#16838098C2211yescharacteristic, complemented
44#16838097—21no—
45#16838096—21no—
46#16838096C2211yescharacteristic, complemented
47#16838094C2211yescharacteristic, complemented
48#16838093C2211yescharacteristic, complemented
49#16838086C2211yescharacteristic, complemented
50#16838057C2211yescharacteristic
51#16838056C2211yescharacteristic
52#16838052—21no—
53#16838049C2211yescharacteristic
54#16838049C2211yescharacteristic
55#16838046C2211yescharacteristic
56#16838046C2211yescharacteristic
57#16838039—21no—
58#16838039—21no—
59#16838037C2211yescharacteristic
60D4×C22⋊D59—21no—
61#16838011—21no—
62#16838004—21no—
63#16837982C2211yescharacteristic, complemented
64#16837982C2211yescharacteristic, complemented
65#16837981C2211yescharacteristic
66#16837981C2211yescharacteristic
67#16837962—21no—
68#16837962—21no—
69#16837950C2211yescharacteristic
70#16837949C2211yescharacteristic
71#16837935—21no—
72#16837930—21no—
73#125×D59C2211yescharacteristic, complemented
74C2×#14273698—21no—
75#121×D59—21no—
76#16837883C2211yescharacteristic, complemented
77#16837882C2211yescharacteristic, complemented
78C4×#11745689C2211yescharacteristic, complemented
79C4×D4×D59C2211yescharacteristic
80#16837772C2211yescharacteristic, complemented
81#16837771C2211yescharacteristic, complemented
82#16837766C2211yescharacteristic, complemented
83#16837755C2211yescharacteristic, complemented
84#16837755C2211yescharacteristic, complemented
85#16837755C2211yescharacteristic, complemented
86#16837755C2211yescharacteristic, complemented
87#16837745C2211yescharacteristic, complemented
88#16837745C2211yescharacteristic, complemented
89#16837744C2211yescharacteristic, complemented
90#16837743C2211yescharacteristic, complemented
91#16837739C2211yescharacteristic, complemented
92#16837737C2211yescharacteristic, complemented
93#16837734C2211yescharacteristic, complemented
94#16837733C2211yescharacteristic, complemented
95#16837725C2211yescharacteristic, complemented
96#16837725C2211yescharacteristic, complemented
97#16837723C2211yescharacteristic, complemented
98#16837719C2211yescharacteristic, complemented
99#16837718C2211yescharacteristic, complemented
100#16837714C2211yescharacteristic, complemented
101#16837705C2211yescharacteristic, complemented
102#16837704C2211yescharacteristic, complemented
103#16837703C2211yescharacteristic, complemented
104#16837702C2211yescharacteristic, complemented
105#16837701C2211yescharacteristic, complemented
106#16837700C2211yescharacteristic, complemented
107#16837699C2211yescharacteristic, complemented
108#16837659C2211yescharacteristic, complemented
109#16837658C2211yescharacteristic, complemented
110#16837654C2211yescharacteristic, complemented
111#16837653C2211yescharacteristic, complemented
112#16837649C2211yescharacteristic, complemented
113#16837648C2211yescharacteristic, complemented
114#16837645C2211yescharacteristic, complemented
115#16837642C2211yescharacteristic, complemented
116#16837641C2211yescharacteristic, complemented
117#16837637C2211yescharacteristic, complemented
118#16837636C2211yescharacteristic, complemented
119#16837632C2211yescharacteristic, complemented
120#16837631C2211yescharacteristic, complemented
121#16837628C2211yescharacteristic, complemented
122#16837622C2211yescharacteristic, complemented
123#16837622C2211yescharacteristic, complemented
124#16837616C2211yescharacteristic, complemented
125#16837616C2211yescharacteristic, complemented
126#16837612C2211yescharacteristic, complemented
127#16837608C2211yescharacteristic, complemented
128#16837594C2211yescharacteristic, complemented
129#16837562C2211yescharacteristic, complemented
130#16837562C2211yescharacteristic, complemented
131#16837561C2211yescharacteristic, complemented
132#16837561C2211yescharacteristic, complemented
133#16837551C2211yescharacteristic, complemented
134#16837551C2211yescharacteristic, complemented
135#16837549C2211yescharacteristic, complemented
136#16837549C2211yescharacteristic, complemented
137#16837548C2211yescharacteristic, complemented
138#16837548C2211yescharacteristic, complemented
139#16837537C2211yescharacteristic, complemented
140#16837537C2211yescharacteristic, complemented
141#16837536C2211yescharacteristic, complemented
142#16837536C2211yescharacteristic, complemented
143#16837515C2211yescharacteristic, complemented
144#16837512C2211yescharacteristic, complemented
145#16837500C2211yescharacteristic, complemented
146SD16×Dic59C2211yescharacteristic, complemented
147#16837487C2211yescharacteristic, complemented
148#16837484C2211yescharacteristic, complemented
149#16837482C2211yescharacteristic, complemented
150#16837478C2211yescharacteristic, complemented
151#16837477C2211yescharacteristic, complemented
152#16837475C2211yescharacteristic, complemented
153#16837474C2211yescharacteristic, complemented
154#16837472C2211yescharacteristic, complemented
155C8×C22⋊D59C2211yescharacteristic, complemented
156(C22⋊D59)⋊C8C2211yescharacteristic, complemented
157#16837443C2211yescharacteristic, complemented
158#107×D59C2211yescharacteristic, complemented
159#106×D59C2211yescharacteristic, complemented
160C4⋊C8×D59C2211yescharacteristic, complemented
161#16837407C2211yescharacteristic, complemented
162#16837405C2211yescharacteristic
163#16837405C2211yescharacteristic, complemented
164#16837405C2211yescharacteristic, complemented
165#16837404C2211yescharacteristic, complemented
166#16837402C2211yescharacteristic, complemented
167#16837401C2211yescharacteristic, complemented
168#16837400C2211yescharacteristic, complemented
169#16837400C2211yescharacteristic, complemented
170#16837400C2211yescharacteristic, complemented
171#16837400C2211yescharacteristic, complemented
172#16837400C2211yescharacteristic, complemented
173#16837400C2211yescharacteristic, complemented
174#16837399C2211yescharacteristic, complemented
175#16837396C2211yescharacteristic, complemented
176#16837395C2211yescharacteristic, complemented
177#16837395C2211yescharacteristic, complemented
178#16837395C2211yescharacteristic, complemented
179#16837395C2211yescharacteristic, complemented
180C2×#14273648C2211yescharacteristic, complemented
181#102×D59C2211yescharacteristic
182#102×D59C2211yescharacteristic
183#102×D59C2211yescharacteristic, complemented
184#102×D59C2211yescharacteristic, complemented
185#16837367C2211yescharacteristic, complemented
186#16837367C2211yescharacteristic, complemented
187#16837354C2211yescharacteristic, complemented
188C59×#552C2211yescharacteristic, complemented
189D42×C59C2211yescharacteristic
190C59×#490C2211yescharacteristic, complemented
191C59×#482C2211yescharacteristic, complemented
192C59×#480C2211yescharacteristic, complemented
193C59×#478C2211yescharacteristic, complemented
194C59×#468C2211yescharacteristic, complemented
195C59×#465C2211yescharacteristic, complemented
196C59×#460C2211yescharacteristic, complemented
197C59×#450C2211yescharacteristic, complemented
198C59×#450C2211yescharacteristic, complemented
199C59×#440C2211yescharacteristic, complemented
200C59×#435C2211yescharacteristic, complemented
201C59×#418C2211yescharacteristic, complemented
202C2×#102×C59C2211yescharacteristic, complemented
203#14273772—24no—
204#14273772—24no—
205#14273772—42no—
206#14273772—42no—
207C2×#11745689C2311yescharacteristic
208C2×#11745685C2311yescharacteristic
209C2×#11745685C2311yescharacteristic
210C2×#11745685C2311yescharacteristic
211C2×#11745685C2311yescharacteristic
212C2×#11745687—21no—
213C2×#11745687—21no—
214C2×#11745687C2311yescharacteristic
215C2×#11745687C2311yescharacteristic
216C2×#11745687C2311yescharacteristic
217C2×#11745687C2311yescharacteristic
218C22×C22⋊D59—21no—
219C22×C22⋊D59—21no—
220C22×C22⋊D59—21no—
221C22×C22⋊D59—21no—
222C2×D4×D59—21no—
223C2×D4×D59—21no—
224C2×D4×D59—21no—
225C2×D4×D59C2311yescharacteristic
226C2×D4×D59C2311yescharacteristic
227C2×D4×D59C2311yescharacteristic
228C22×C4×D59—21no—
229#14273754—24no—
230#14273748—42no—
231#14273748—42no—
232C2×#11745672C2311yescharacteristic
233C2×#11745672C2311yescharacteristic
234C2×#11745660C2311yescharacteristic
235C2×#11745660C2311yescharacteristic
236C2×#11745671C2311yescharacteristic
237C2×D472C2311yescharacteristic
238C2×#11745669C2311yescharacteristic
239C2×#11745669C2311yescharacteristic
240C2×#11745669C2311yescharacteristic
241#14273735—42no—
242#14273733—42no—
243C2×#11745664C2311yescharacteristic
244C2×#11745659C2311yescharacteristic
245C2×#11745659C2311yescharacteristic
246C2×#11745659C2311yescharacteristic
247C2×#11745659C2311yescharacteristic
248C22×C59⋊C8C2311yescharacteristic
249C2×C8×D59C2311yescharacteristic
250C2×C8×D59C2311yescharacteristic
251C2×C8×D59C2311yescharacteristic
252C2×C8×D59C2311yescharacteristic
253#14273727C2311yescharacteristic
254#14273726D411yescharacteristic
255#14273723D411yescharacteristic
256#14273722—21no—
257#14273722—21no—
258#14273722—21no—
259#14273722—21no—
260#14273721—21no—
261#14273721—21no—
262#14273720—21no—
263#14273719C2311yescharacteristic
264#14273718—21no—
265#14273718C2311yescharacteristic
266#14273718C2311yescharacteristic
267#14273717—21no—
268#14273717—21no—
269#14273717—21no—
270#14273717—21no—
271#14273714C2311yescharacteristic
272#14273714C2311yescharacteristic
273#14273713D411yescharacteristic
274#14273713D411yescharacteristic
275#14273712—21no—
276#14273712—21no—
277#14273712—21no—
278#14273711—21no—
279#14273711—21no—
280#14273711—21no—
281#14273709—21no—
282#14273709—21no—
283#14273709—21no—
284#14273709—21no—
285#14273709—21no—
286#14273709—21no—
287#14273709—21no—
288#14273708—21no—
289#14273708—21no—
290#14273707C2311yescharacteristic
291#14273707C2311yescharacteristic
292#14273706C2311yescharacteristic
293#14273706C2311yescharacteristic
294#14273705—21no—
295#14273705—21no—
296#14273704—21no—
297#14273704—21no—
298#14273703C2311yescharacteristic
299#14273703C2311yescharacteristic
300#14273702—21no—
301#14273702—21no—
302#14273702—21no—
303#14273702D411yescharacteristic
304#14273702C2311yescharacteristic
305#14273702C2311yescharacteristic
306#14273701—21no—
307#14273701—21no—
308#14273701C2311yescharacteristic
309#14273701C2311yescharacteristic
310#14273700—21no—
311#14273700—21no—
312#14273700—21no—
313#14273700—21no—
314#14273700—21no—
315#14273700—21no—
316#14273700—21no—
317#14273700D411yescharacteristic
318#14273700D411yescharacteristic
319#14273699—21no—
320#14273699—21no—
321#14273699—21no—
322#14273699—21no—
323#14273699—21no—
324#14273698—21no—
325#14273698—21no—
326#14273698—21no—
327#14273698—21no—
328#14273698—21no—
329#14273698—21no—
330#14273698—21no—
331#14273698—21no—
332#14273698D411yescharacteristic
333#14273698C2311yescharacteristic
334#14273698C2311yescharacteristic
335#14273696—21no—
336#14273696—21no—
337#14273695—21no—
338#14273695—21no—
339#14273695—21no—
340#14273695—21no—
341Q8×Dic59C2311yescharacteristic
342C4×Dic118—21no—
343#14273692—21no—
344C4×D236—21no—
345C4×D236—21no—
346C4×D236—21no—
347C4×D236C2311yescharacteristic
348C4×D236C2311yescharacteristic
349C4×D236C2311yescharacteristic
350D4×Dic59—21no—
351D4×Dic59—21no—
352D4×Dic59C2311yescharacteristic
353#14273689—21no—
354#14273689—21no—
355#14273689—21no—
356#14273689C2311yescharacteristic
357#14273689C2311yescharacteristic
358C4×C22⋊D59—21no—
359C4×C22⋊D59—21no—
360C4×C22⋊D59—21no—
361C4×C22⋊D59—21no—
362C4×C22⋊D59C2311yescharacteristic
363C4×C22⋊D59C2311yescharacteristic
364(C22⋊D59)⋊C4—21no—
365(C22⋊D59)⋊C4—21no—
366(C22⋊D59)⋊C4—21no—
367(C22⋊D59)⋊C4—21no—
368#14273686C2311yescharacteristic
369#14273685—21no—
370#14273685—21no—
371#14273685C2311yescharacteristic
372#14273685C2311yescharacteristic
373#14273685C2311yescharacteristic
374#14273684—21no—
375#14273683—21no—
376C2×C4⋊Dic59—21no—
377C2×C4⋊Dic59C2311yescharacteristic
378C4⋊C4×D59—21no—
379C4⋊C4×D59—21no—
380C4⋊C4×D59—21no—
381C4⋊C4×D59C2311yescharacteristic
382C4⋊C4×D59C2311yescharacteristic
383C4⋊C4×D59C2311yescharacteristic
384C4⋊C4×D59C2311yescharacteristic
385C4⋊C4×D59C2311yescharacteristic
386C2×C22⋊Dic59—21no—
387C2×C22⋊Dic59—21no—
388C22⋊C4×D59—21no—
389C22⋊C4×D59—21no—
390C22⋊C4×D59—21no—
391C42×D59—21no—
392C42×D59C2311yescharacteristic
393#14273661C2311yescharacteristic
394#14273660C2311yescharacteristic
395#14273660C2311yescharacteristic
396#14273660C2311yescharacteristic
397#14273659C2311yescharacteristic
398#14273659C2311yescharacteristic
399#14273658C2311yescharacteristic
400#14273658C2311yescharacteristic
401#14273658C2311yescharacteristic
402C4⋊(C59⋊C8)C2311yescharacteristic
403Dic59⋊C8C2311yescharacteristic
404Dic59⋊C8C2311yescharacteristic
405#14273652C2311yescharacteristic
406#14273652C2311yescharacteristic
407#14273652C2311yescharacteristic
408#14273652C2311yescharacteristic
409#14273652C2311yescharacteristic
410#14273652C2311yescharacteristic
411#14273651C2311yescharacteristic
412#14273650C2311yescharacteristic
413#14273650C2311yescharacteristic
414#14273650C2311yescharacteristic
415#14273650C2311yescharacteristic
416#14273650C2311yescharacteristic
417#14273650C2311yescharacteristic
418#14273649C2311yescharacteristic
419#14273649C2311yescharacteristic
420#14273649C2311yescharacteristic
421#14273649C2311yescharacteristic
422#14273648C2311yescharacteristic
423#14273648C2311yescharacteristic
424#14273648C2311yescharacteristic
425#14273648C2311yescharacteristic
426#14273648C2311yescharacteristic
427#14273648C2311yescharacteristic
428#14273648C2311yescharacteristic
429#14273648C2311yescharacteristic
430#14273648C2311yescharacteristic
431#14273647C2311yescharacteristic
432#14273647C2311yescharacteristic
433#14273647C2311yescharacteristic
434#14273647C2311yescharacteristic
435C22⋊(C59⋊C8)C2311yescharacteristic
436C22⋊(C59⋊C8)C2311yescharacteristic
437(C2×D59)⋊C8C2311yescharacteristic
438(C2×D59)⋊C8C2311yescharacteristic
439(C2×D59)⋊C8C2311yescharacteristic
440(C2×D59)⋊C8C2311yescharacteristic
441#14273638C2311yescharacteristic
442C8×Dic59C2311yescharacteristic
443C8×Dic59C2311yescharacteristic
444C22×D4×C59—21no—
445C22×D4×C59C2311yescharacteristic
446C22×D4×C59C2311yescharacteristic
447C2×SD16×C59C2311yescharacteristic
448C2×SD16×C59C2311yescharacteristic
449C2×SD16×C59C2311yescharacteristic
450C2×M16×C59C2311yescharacteristic
451C22×C8×C59C2311yescharacteristic
452#127×C59C2311yescharacteristic
453#126×C59—21no—
454#125×C59—21no—
455#125×C59C2311yescharacteristic
456#123×C59—21no—
457C22⋊Q8×C59C2311yescharacteristic
458C22⋊Q8×C59C2311yescharacteristic
459#121×C59—21no—
460#121×C59C2311yescharacteristic
461#121×C59C2311yescharacteristic
462#120×C59—21no—
463#120×C59—21no—
464C4×Q8×C59C2311yescharacteristic
465C4×D4×C59C2311yescharacteristic
466C4×D4×C59C2311yescharacteristic
467#117×C59—21no—
468#117×C59C2311yescharacteristic
469C2×C4⋊C4×C59C2311yescharacteristic
470#107×C59C2311yescharacteristic
471#107×C59C2311yescharacteristic
472#106×C59C2311yescharacteristic
473C4⋊C8×C59C2311yescharacteristic
474#103×C59C2311yescharacteristic
475#102×C59C2311yescharacteristic
476#102×C59C2311yescharacteristic
477#102×C59C2311yescharacteristic
478#102×C59C2311yescharacteristic
479#102×C59C2311yescharacteristic
480#102×C59C2311yescharacteristic
481#102×C59C2311yescharacteristic
482#102×C59C2311yescharacteristic
483#102×C59C2311yescharacteristic
484C22⋊C8×C59C2311yescharacteristic
485C22⋊C8×C59C2311yescharacteristic
486#97×C59C2311yescharacteristic
487C24×C59—21no—
488C24×C59—21no—
489C23×D59—21no—
490C23×D59—21no—
491C23×D59—21no—
492C2×Q8×C59C2411yescharacteristic
493C2×D4×C59—22no—
494C2×D4×C59—22no—
495C2×D4×C59—21no—
496C2×D4×C59—21no—
497C2×D4×C59—21no—
498C2×D4×C59—21no—
499C2×D4×C59—21no—
500C2×D4×C59—21no—
501C2×D4×C59—41no—
502C2×D4×C59—41no—
503C2×D4×C59—82no—
504C2×D4×C59C2×D411yescharacteristic
505C2×D4×C59C2411yescharacteristic
506C2×D4×C59C2411yescharacteristic
507C2×D4×C59C2411yescharacteristic
508C22×C4×C59—21no—
509C22×C4×C59—21no—
510C22×C4×C59C2411yescharacteristic
511C22×C4×C59C2411yescharacteristic
512C2×C22⋊D59—21no—
513C2×C22⋊D59—21no—
514C2×C22⋊D59—21no—
515C2×C22⋊D59—21no—
516C2×C22⋊D59—21no—
517C2×C22⋊D59—21no—
518C2×C22⋊D59—21no—
519C2×C22⋊D59—21no—
520C2×C22⋊D59—21no—
521C2×C22⋊D59—21no—
522C2×C22⋊D59—21no—
523C2×C22⋊D59—21no—
524C2×C22⋊D59—21no—
525C2×C22⋊D59—44no—
526C2×C22⋊D59—44no—
527C2×C22⋊D59—44no—
528C2×C22⋊D59—44no—
529C2×C22⋊D59C2×D411yescharacteristic
530C2×C22⋊D59C2×D411yescharacteristic
531C2×C22⋊D59C2×D411yescharacteristic
532C2×C22⋊D59C2×D411yescharacteristic
533C2×C22⋊D59C2×D411yescharacteristic
534C2×C22⋊D59C2×D411yescharacteristic
535C22×Dic59—21no—
536C22×Dic59—21no—
537C22×Dic59—21no—
538C22×Dic59—21no—
539C22×Dic59—21no—
540C22×Dic59—21no—
541#11745689—22no—
542#11745689—22no—
543#11745687—22no—
544#11745687—22no—
545#11745687—22no—
546#11745687—22no—
547#11745687—22no—
548#11745687—22no—
549#11745687—41no—
550#11745687—41no—
551#11745687—44no—
552#11745687—44no—
553D4×D59—22no—
554D4×D59—22no—
555D4×D59—22no—
556D4×D59—41no—
557D4×D59—41no—
558D4×D59—44no—
559D4×D59—44no—
560D4×D59—82no—
561D4×D59#4114yes—
562#11745685—22no—
563#11745685—22no—
564#11745685—22no—
565#11745685—22no—
566#11745685—22no—
567#11745685—22no—
568#11745685—41no—
569#11745685—41no—
570C2×D236—21no—
571C2×D236—21no—
572C2×D236—21no—
573C2×D236C2×D411yescharacteristic
574C2×D236C2×D411yescharacteristic
575C2×D236C2×D411yescharacteristic
576C2×D236C2411yescharacteristic
577C2×D236C2411yescharacteristic
578C2×C4×D59—21no—
579C2×C4×D59—21no—
580C2×C4×D59—21no—
581C2×C4×D59—21no—
582C2×C4×D59—21no—
583C2×C4×D59—21no—
584C2×C4×D59—21no—
585C2×C4×D59—21no—
586C2×C4×D59—21no—
587C2×C4×D59—21no—
588C2×C4×D59—21no—
589C2×C4×D59—21no—
590C2×C4×D59—82no—
591C2×C4×D59C2×D411yescharacteristic
592C2×C4×D59C2×D411yescharacteristic
593C2×C4×D59C2411yescharacteristic
594C2×C4×D59C2411yescharacteristic
595C2×C4×D59C2411yescharacteristic
596C2×Dic118C2×D411yescharacteristic
597C2×Dic118C2×D411yescharacteristic
598C2×Dic118C2411yescharacteristic
599C2×Dic118C2411yescharacteristic
600SD16×C59—22no—
601SD16×C59—41no—
602SD16×C59—41no—
603M16×C59—41no—
604C2×C8×C59—41no—
605C2×C8×C59C2411yescharacteristic
606C2×C8×C59C2411yescharacteristic
607C2×C8×C59C2411yescharacteristic
608C2×C8×C59C2411yescharacteristic
609C4⋊C4×C59—21no—
610C4⋊C4×C59—21no—
611C4⋊C4×C59—21no—
612C4⋊C4×C59—21no—
613C4⋊C4×C59—21no—
614C4⋊C4×C59—21no—
615C4⋊C4×C59C2×D411yescharacteristic
616C4⋊C4×C59C2411yescharacteristic
617C4⋊C4×C59C2411yescharacteristic
618C4⋊C4×C59C2411yescharacteristic
619C4⋊C4×C59C2411yescharacteristic
620C22⋊C4×C59—21no—
621C22⋊C4×C59—21no—
622C22⋊C4×C59—21no—
623C22⋊C4×C59—21no—
624C22⋊C4×C59—21no—
625C22⋊C4×C59—21no—
626C22⋊C4×C59C2×D411yescharacteristic
627C22⋊C4×C59C2×D411yescharacteristic
628C42×C59—21no—
629C42×C59—21no—
630C42×C59C2411yescharacteristic
631C22⋊Dic59—21no—
632C22⋊Dic59—21no—
633C22⋊Dic59—21no—
634C22⋊Dic59—21no—
635C22⋊Dic59—21no—
636C22⋊Dic59—21no—
637C22⋊Dic59—21no—
638C22⋊Dic59—21no—
639C22⋊Dic59—21no—
640C22⋊Dic59—21no—
641C22⋊Dic59C2×D411yescharacteristic
642C22⋊Dic59C2×D411yescharacteristic
643#11745672—41no—
644#11745672—41no—
645#11745671—22no—
646#11745669—22no—
647#11745669—41no—
648#11745669—41no—
649(C2×D59)⋊C4—21no—
650(C2×D59)⋊C4—21no—
651(C2×D59)⋊C4—21no—
652(C2×D59)⋊C4—21no—
653(C2×D59)⋊C4—21no—
654(C2×D59)⋊C4—21no—
655(C2×D59)⋊C4—21no—
656(C2×D59)⋊C4—21no—
657(C2×D59)⋊C4—21no—
658(C2×D59)⋊C4—21no—
659(C2×D59)⋊C4—21no—
660(C2×D59)⋊C4—21no—
661(C2×D59)⋊C4—21no—
662(C2×D59)⋊C4—21no—
663(C2×D59)⋊C4—21no—
664(C2×D59)⋊C4C2×D411yescharacteristic
665(C2×D59)⋊C4C2×D411yescharacteristic
666(C2×D59)⋊C4C2×D411yescharacteristic
667(C2×D59)⋊C4C2×D411yescharacteristic
668C4⋊Dic59—21no—
669C4⋊Dic59—21no—
670C4⋊Dic59—21no—
671C4⋊Dic59—21no—
672C4⋊Dic59—21no—
673C4⋊Dic59—21no—
674C4⋊Dic59—21no—
675C4⋊Dic59—21no—
676C4⋊Dic59C2×D411yescharacteristic
677C4⋊Dic59C2411yescharacteristic
678C4⋊Dic59C2411yescharacteristic
679C4⋊Dic59C2411yescharacteristic
680C4⋊Dic59C2411yescharacteristic
681Dic59⋊C4—21no—
682Dic59⋊C4—21no—
683Dic59⋊C4—21no—
684Dic59⋊C4—21no—
685Dic59⋊C4—21no—
686Dic59⋊C4—21no—
687Dic59⋊C4—21no—
688Dic59⋊C4—21no—
689Dic59⋊C4—21no—
690Dic59⋊C4—21no—
691Dic59⋊C4—21no—
692Dic59⋊C4—21no—
693Dic59⋊C4—21no—
694Dic59⋊C4C2×D411yescharacteristic
695Dic59⋊C4C2×D411yescharacteristic
696C4×Dic59—21no—
697C4×Dic59—21no—
698C4×Dic59—21no—
699C4×Dic59—21no—
700C4×Dic59—21no—
701C4×Dic59C2×D411yescharacteristic
702C4×Dic59C2×D411yescharacteristic
703C4×Dic59C2411yescharacteristic
704#11745664—41no—
705C2×C59⋊C8—41no—
706C2×C59⋊C8C2411yescharacteristic
707C2×C59⋊C8C2411yescharacteristic
708C2×C59⋊C8C2411yescharacteristic
709C2×C59⋊C8C2411yescharacteristic
710D472—22no—
711#11745660—41no—
712#11745660—41no—
713#11745659—22no—
714#11745659—22no—
715#11745659—41no—
716#11745659—41no—
717C8×D59—22no—
718C8×D59—22no—
719C8×D59—41no—
720C8×D59—41no—
721C23×C59—21no—
722C23×C59—21no—
723C23×C59—21no—
724C23×C59—42no—
725C23×C59—42no—
726C23×C59—81no—
727C23×C59—81no—
728C23×C59—81no—
729C23×C59—81no—
730C23×C59C22×D411yescharacteristic
731C23×C59C22×D411yescharacteristic
732C22×D59—21no—
733C22×D59—24no—
734C22×D59—21no—
735C22×D59—42no—
736C22×D59—42no—
737C22×D59—81no—
738C22×D59—81no—
739C22×D59—81no—
740C22×D59—81no—
741C22×D59—81no—
742C22×D59—81no—
743C22×D59C22×D411yescharacteristic
744C22×D59C22×D411yescharacteristic
745C22×D59C22×D411yescharacteristic
746Q8×C59—21no—
747Q8×C59—21no—
748D4×C59—21no—
749D4×C59—21no—
750D4×C59—21no—
751D4×C59—21no—
752D4×C59—21no—
753D4×C59—41no—
754D4×C59—42no—
755D4×C59—42no—
756D4×C59—42no—
757D4×C59—81no—
758D4×C59—81no—
759D4×C59—81no—
760D4×C59C2×#4112yes—
761C2×C4×C59—21no—
762C2×C4×C59—21no—
763C2×C4×C59—21no—
764C2×C4×C59—21no—
765C2×C4×C59—21no—
766C2×C4×C59—21no—
767C2×C4×C59—21no—
768C2×C4×C59—21no—
769C2×C4×C59—21no—
770C2×C4×C59—42no—
771C2×C4×C59—81no—
772C2×C4×C59C22×D411yescharacteristic
773C2×C4×C59C22×D411yescharacteristic
774C2×C4×C59C22×D411yescharacteristic
775C2×C4×C59C22×D411yescharacteristic
776C2×C4×C59C2511yescharacteristic
777C22⋊D59—22no—
778C22⋊D59—22no—
779C22⋊D59—22no—
780C22⋊D59—22no—
781C22⋊D59—24no—
782C22⋊D59—41no—
783C22⋊D59—41no—
784C22⋊D59—42no—
785C22⋊D59—42no—
786C22⋊D59—42no—
787C22⋊D59—42no—
788C22⋊D59—42no—
789C22⋊D59—42no—
790C22⋊D59—42no—
791C22⋊D59—42no—
792C22⋊D59—81no—
793C22⋊D59—81no—
794C22⋊D59—81no—
795C22⋊D59—81no—
796C2×Dic59—21no—
797C2×Dic59—21no—
798C2×Dic59—21no—
799C2×Dic59—21no—
800C2×Dic59—21no—
801C2×Dic59—21no—
802C2×Dic59—42no—
803C2×Dic59—42no—
804C2×Dic59—42no—
805C2×Dic59—42no—
806C2×Dic59—81no—
807C2×Dic59—81no—
808C2×Dic59C22×D411yescharacteristic
809C2×Dic59C22×D411yescharacteristic
810C2×Dic59C22×D411yescharacteristic
811C2×Dic59C22×D411yescharacteristic
812C2×Dic59C22×D411yescharacteristic
813D236—22no—
814D236—22no—
815D236—21no—
816D236—21no—
817D236—21no—
818D236—41no—
819D236—42no—
820D236—81no—
821D236—81no—
822D236C2×#4112yes—
823C4×D59—21no—
824C4×D59—21no—
825C4×D59—21no—
826C4×D59—21no—
827C4×D59—41no—
828C4×D59—41no—
829C4×D59—42no—
830C4×D59—42no—
831C4×D59—42no—
832C4×D59—42no—
833C4×D59—81no—
834C4×D59—81no—
835C4×D59—81no—
836C4×D59—81no—
837C4×D59—81no—
838C4×D59—81no—
839C4×D59—81no—
840C4×D59—81no—
841C4×D59C2×#4112yes—
842C4×D59H(5,𝔽2)12yes—
843Dic118—22no—
844Dic118—22no—
845Dic118—21no—
846Dic118—21no—
847Dic118—21no—
848Dic118—21no—
849C8×C59—21no—
850C8×C59—21no—
851C8×C59—21no—
852C8×C59—21no—
853C59⋊C8—21no—
854C59⋊C8—21no—
855C59⋊C8—21no—
856C59⋊C8—21no—
857#61201—591nomaximal, Sylow
858C22×C59—21no—
859C22×C59—21no—
860C22×C59—21no—
861C22×C59—21no—
862C22×C59—22no—
863C22×C59—21no—
864C22×C59—21no—
865C22×C59—41no—
866C22×C59—41no—
867C22×C59—41no—
868C22×C59—41no—
869C22×C59—41no—
870C22×C59—41no—
871C22×C59—41no—
872C22×C59—41no—
873C22×C59—162no—
874C22×C59—162no—
875C22×C59C23×D411yescharacteristic
876C2×D59—21no—
877C2×D59—21no—
878C2×D59—21no—
879C2×D59—21no—
880C2×D59—21no—
881C2×D59—21no—
882C2×D59—21no—
883C2×D59—21no—
884C2×D59—22no—
885C2×D59—41no—
886C2×D59—41no—
887C2×D59—41no—
888C2×D59—41no—
889C2×D59—41no—
890C2×D59—84no—
891C2×D59—162no—
892C2×D59—162no—
893C2×D59#54612yes—
894C4×C59—21no—
895C4×C59—21no—
896C4×C59—21no—
897C4×C59—21no—
898C4×C59—41no—
899C4×C59—41no—
900C4×C59—41no—
901C4×C59—41no—
902C4×C59—41no—
903C4×C59C22×#4111yescharacteristic
904C4×C59C2×H(5,𝔽2)11yescharacteristic
905Dic59—21no—
906Dic59—21no—
907Dic59—21no—
908Dic59—21no—
909Dic59—41no—
910Dic59—41no—
911Dic59—41no—
912Dic59—41no—
913Dic59—41no—
914Dic59—41no—
915Dic59#54612yes—
916#3512—591no—
917#3496—591no—
918#3323—591no—
919#3323—591no—
920#3322—591no—
921#3322—591no—
922#3318—591no—
923#3318—591no—
924#3315—591no—
925#3315—591no—
926#3310—591no—
927#3310D5911yescharacteristic, complemented
928#3307—591no—
929#3307—591no—
930#3297—591no—
931#3297—591no—
932#3296—591no—
933#3296—591no—
934#3142—591no—
935#3099—591no—
936#3098—591no—
937C2×#478—591no—
938#3061—591no—
939#3060—591no—
940#3035—591no—
941#3012—591no—
942#3012—591no—
943C4×AGL(1,ℤ/8)—591no—
944#2935—591no—
945#2897—591no—
946#2897—591no—
947C2×C59—42no—
948C2×C59—41no—
949C2×C59—41no—
950C2×C59—81no—
951C2×C59—81no—
952C2×C59C2×#54611yescharacteristic
953C2×C59#358411yescharacteristic
954C2×C59#358511yescharacteristic
955D59—22no—
956D59—41no—
957D59—41no—
958D59—42no—
959D59—81no—
960C2×H(5,𝔽2)—591no—
961C2×H(5,𝔽2)—591no—
962C2×AGL(1,ℤ/8)—591no—
963C2×#135—591no—
964C2×#135—591no—
965C2×#131—591no—
966C2×#131—591no—
967#553—591no—
968#553—591no—
969#553—591no—
970#553—591no—
971#553—1181no—
972#553—1181no—
973#553—1181no—
974#553—1181no—
975#552—591no—
976#552—591no—
977#552—591no—
978#552C2×D5911yescharacteristic, complemented
979#547—591no—
980#547—591no—
981#547—1181no—
982#546—591no—
983#546—591no—
984#546—591no—
985#546—591no—
986#546—1181no—
987#546—1181no—
988D42—591no—
989D42—1181no—
990D42C2×D5911yescharacteristic
991#541—1181no—
992#540—1181no—
993#537—591no—
994#537—591no—
995#537—591no—
996#537—591no—
997#534—1181no—
998#534—1181no—
999#532—591no—
1000#532—591no—
1001#529—1181no—
1002#529—1181no—
1003C2×#125—591no—
1004C2×#121—1181no—
1005C2×#121—1181no—
1006#520—591no—
1007#520—591no—
1008C4×#41—591no—
1009C2×C4×D4—591no—
1010#491—591no—
1011#491—591no—
1012#490—591no—
1013#490C2×D5911yescharacteristic, complemented
1014#488—591no—
1015#488—591no—
1016#488—591no—
1017#488—591no—
1018#485—591no—
1019#485—591no—
1020#485—591no—
1021#485—591no—
1022#484—591no—
1023#484—591no—
1024#483—591no—
1025#483—591no—
1026#482—591no—
1027#482—591no—
1028#482—591no—
1029#482C2×D5911yescharacteristic, complemented
1030#481—591no—
1031#481—591no—
1032#480—591no—
1033#480C2×D5911yescharacteristic, complemented
1034#478—591no—
1035#478—591no—
1036#478—591no—
1037#478—591no—
1038#478—591no—
1039#478—591no—
1040#478—591no—
1041#478C2×D5911yescharacteristic, complemented
1042#470—591no—
1043#470—591no—
1044#469—591no—
1045#469—591no—
1046#468—591no—
1047#468—591no—
1048#468—591no—
1049#468C2×D5911yescharacteristic, complemented
1050#467—591no—
1051#467—591no—
1052#466—591no—
1053#466—591no—
1054#465—591no—
1055#465—591no—
1056#465—591no—
1057#465C2×D5911yescharacteristic, complemented
1058#464—591no—
1059#464—591no—
1060#463—591no—
1061#463—591no—
1062#462—591no—
1063#461—591no—
1064#460C2×D5911yescharacteristic, complemented
1065#459—591no—
1066#452—591no—
1067#452—591no—
1068#452—591no—
1069#452—591no—
1070#450—591no—
1071#450—591no—
1072#450C2×D5911yescharacteristic, complemented
1073#450C2×D5911yescharacteristic, complemented
1074#449—591no—
1075#449—591no—
1076#449—591no—
1077#449—591no—
1078#447—591no—
1079#447—591no—
1080#447—591no—
1081#447—591no—
1082#442—591no—
1083#442—591no—
1084#440—591no—
1085#440C2×D5911yescharacteristic, complemented
1086C4×SD16—591no—
1087C4×SD16—591no—
1088C4×D8—591no—
1089C4×D8—591no—
1090#436—591no—
1091#436—591no—
1092#435—591no—
1093#435—591no—
1094#435—591no—
1095#435C2×D5911yescharacteristic, complemented
1096C8×D4—591no—
1097C8×D4—591no—
1098#428—591no—
1099C2×#107—591no—
1100C2×#106—591no—
1101C2×C4⋊C8—591no—
1102#418—591no—
1103#418—591no—
1104#418—591no—
1105#418—591no—
1106#418C2×D5911yescharacteristic, complemented
1107#417—591no—
1108#417—591no—
1109#417—591no—
1110#417—591no—
1111#417—591no—
1112#417—591no—
1113#417—591no—
1114#417—591no—
1115#417—591no—
1116#416—591no—
1117#416—591no—
1118#416—591no—
1119#416—591no—
1120#416—591no—
1121#416—591no—
1122C2×#102—591no—
1123C2×#102—591no—
1124C2×#102—591no—
1125C2×#102—591no—
1126C2×#102—591no—
1127C2×#102C2×D5911yescharacteristic, complemented
1128#408—591no—
1129#408—591no—
1130C4×M16—591no—
1131C59#6120111yescharacteristic, complemented, Sylow
1132H(5,𝔽2)—1184no—
1133H(5,𝔽2)—1184no—
1134H(5,𝔽2)—2362no—
1135H(5,𝔽2)—2362no—
1136C2×#41—591no—
1137C2×#41—591no—
1138C2×#41—591no—
1139C2×#41—591no—
1140C2×#41—591no—
1141C2×#41—591no—
1142C2×#41—591no—
1143C2×#41—591no—
1144C2×#41—591no—
1145C2×#41—1181no—
1146C2×#41—1181no—
1147C22×D4—21no—
1148C22×D4—591no—
1149C22×D4—591no—
1150C22×D4—591no—
1151C22×D4—1181no—
1152C22×D4—1181no—
1153C22×D4—1181no—
1154C22×D4—1181no—
1155C22×D4—1181no—
1156C22×D4—1181no—
1157C22×D4—1181no—
1158C22×D4C22×D5911yescharacteristic
1159C22×D4C22×D5911yescharacteristic
1160C23×C4—1181no—
1161AGL(1,ℤ/8)—1184no—
1162#135—2362no—
1163#135—2362no—
1164C2×Q16—591no—
1165C2×Q16—591no—
1166C2×SD16—591no—
1167C2×SD16—591no—
1168C2×SD16—591no—
1169C2×SD16C22×D5911yescharacteristic
1170C2×SD16C22×D5911yescharacteristic
1171C2×SD16C22×D5911yescharacteristic
1172C2×D8—591no—
1173C2×D8—591no—
1174C2×D8—591no—
1175C2×D8—591no—
1176#131—2362no—
1177#131—2362no—
1178C2×M16—591no—
1179C2×M16—591no—
1180C2×M16—591no—
1181C2×M16—591no—
1182C2×M16—591no—
1183C2×M16C22×D5911yescharacteristic
1184C22×C8—591no—
1185C22×C8—591no—
1186C22×C8—591no—
1187C22×C8—591no—
1188C22×C8—591no—
1189C22×C8C22×D5911yescharacteristic
1190C4⋊Q8—591no—
1191C4⋊Q8—591no—
1192#127—591no—
1193#127C22×D5911yescharacteristic
1194#126—21no—
1195#126—1181no—
1196#126—1181no—
1197#126—1181no—
1198#126—1181no—
1199#126—1181no—
1200#126—1181no—
1201#126—1181no—
1202#125—21no—
1203#125—591no—
1204#125—591no—
1205#125—591no—
1206#125—1181no—
1207#125—1181no—
1208#125—1181no—
1209#125—1181no—
1210#125—1181no—
1211#125C22×D5911yescharacteristic
1212#124—591no—
1213#124—591no—
1214#124—591no—
1215#124—591no—
1216#123—21no—
1217#123—1181no—
1218#123—1181no—
1219#123—1181no—
1220#123—1181no—
1221#123—1181no—
1222#123—1181no—
1223#123—1181no—
1224#123—1181no—
1225#123—1181no—
1226#123—1181no—
1227#123—1181no—
1228#123—1181no—
1229#123—1181no—
1230#123—1181no—
1231#123—1181no—
1232C22⋊Q8—591no—
1233C22⋊Q8—591no—
1234C22⋊Q8—591no—
1235C22⋊Q8—591no—
1236C22⋊Q8—591no—
1237C22⋊Q8—591no—
1238C22⋊Q8—1181no—
1239C22⋊Q8—1181no—
1240C22⋊Q8—1181no—
1241C22⋊Q8—1181no—
1242C22⋊Q8C22×D5911yescharacteristic
1243C22⋊Q8C22×D5911yescharacteristic
1244#121—21no—
1245#121—591no—
1246#121—591no—
1247#121—591no—
1248#121—591no—
1249#121—591no—
1250#121—591no—
1251#121—591no—
1252#121—591no—
1253#121—591no—
1254#121—591no—
1255#121—1181no—
1256#121—1181no—
1257#121—1181no—
1258#121—1181no—
1259#121—1181no—
1260#121—1181no—
1261#121—1181no—
1262#121—1181no—
1263#121—1181no—
1264#121—1181no—
1265#121—1181no—
1266#121—1181no—
1267#121—1181no—
1268#121—1181no—
1269#121—1181no—
1270#121—1181no—
1271#121—1181no—
1272#121—1181no—
1273#121—1181no—
1274#121—1181no—
1275#121—1181no—
1276#121—1181no—
1277#121—1181no—
1278#121—1181no—
1279#121—1181no—
1280#121C22×D5911yescharacteristic
1281#121C22×D5911yescharacteristic
1282#120—21no—
1283#120—21no—
1284#120—1181no—
1285#120—1181no—
1286#120—1181no—
1287#120—1181no—
1288#120—1181no—
1289#120—1181no—
1290C4×Q8—591no—
1291C4×Q8—1181no—
1292C4×Q8—1181no—
1293C4×Q8C22×D5911yescharacteristic
1294C4×D4—591no—
1295C4×D4—591no—
1296C4×D4—591no—
1297C4×D4—591no—
1298C4×D4—591no—
1299C4×D4—591no—
1300C4×D4—591no—
1301C4×D4—591no—
1302C4×D4—1181no—
1303C4×D4—1181no—
1304C4×D4—1181no—
1305C4×D4—1181no—
1306C4×D4—1181no—
1307C4×D4—1181no—
1308C4×D4—1181no—
1309C4×D4—1181no—
1310C4×D4—1181no—
1311C4×D4—1181no—
1312C4×D4—1181no—
1313C4×D4—1181no—
1314C4×D4—1181no—
1315C4×D4—1181no—
1316C4×D4—1181no—
1317C4×D4—1181no—
1318C4×D4C22×D5911yescharacteristic
1319C4×D4C22×D5911yescharacteristic
1320#117—21no—
1321#117—591no—
1322#117—591no—
1323#117—591no—
1324#117—591no—
1325#117—1181no—
1326#117—1181no—
1327#117—1181no—
1328#117—1181no—
1329#117C22×D5911yescharacteristic
1330C2×C4⋊C4—591no—
1331C2×C4⋊C4—591no—
1332C2×C4⋊C4—591no—
1333C2×C4⋊C4—591no—
1334C2×C4⋊C4—591no—
1335C2×C4⋊C4—591no—
1336C2×C4⋊C4—1181no—
1337C2×C4⋊C4—1181no—
1338C2×C4⋊C4—1181no—
1339C2×C4⋊C4—1181no—
1340C2×C4⋊C4C22×D5911yescharacteristic
1341C2×C22⋊C4—1181no—
1342C2×C22⋊C4—1181no—
1343C2×C22⋊C4—1181no—
1344C2×C22⋊C4—1181no—
1345C2×C22⋊C4—1181no—
1346C2×C42—591no—
1347C2×C42—1181no—
1348#107—591no—
1349#107—591no—
1350#107—591no—
1351#107—591no—
1352#107C22×D5911yescharacteristic
1353#107C22×D5911yescharacteristic
1354#106—591no—
1355#106—591no—
1356#106—591no—
1357#106—591no—
1358#106—591no—
1359#106C22×D5911yescharacteristic
1360C4⋊C8—591no—
1361C4⋊C8—591no—
1362C4⋊C8—591no—
1363C4⋊C8C22×D5911yescharacteristic
1364#103—591no—
1365#103—591no—
1366#103—591no—
1367#103—591no—
1368#103—591no—
1369#103—591no—
1370#103—591no—
1371#103—591no—
1372#103—591no—
1373#103—591no—
1374#103—591no—
1375#103—591no—
1376#103—591no—
1377#103C22×D5911yescharacteristic
1378#102—591no—
1379#102—591no—
1380#102—591no—
1381#102—591no—
1382#102—591no—
1383#102—591no—
1384#102—591no—
1385#102—591no—
1386#102—591no—
1387#102—591no—
1388#102—591no—
1389#102—591no—
1390#102—591no—
1391#102—591no—
1392#102—591no—
1393#102—591no—
1394#102—591no—
1395#102C22×D5911yescharacteristic
1396#102C22×D5911yescharacteristic
1397#102C22×D5911yescharacteristic
1398#102C22×D5911yescharacteristic
1399#102C22×D5911yescharacteristic
1400#102C22×D5911yescharacteristic
1401#102C22×D5911yescharacteristic
1402#102C22×D5911yescharacteristic
1403#102C22×D5911yescharacteristic
1404C22⋊C8—591no—
1405C22⋊C8—591no—
1406C22⋊C8—591no—
1407C22⋊C8—591no—
1408C22⋊C8—591no—
1409C22⋊C8—591no—
1410C22⋊C8C22×D5911yescharacteristic
1411C22⋊C8C22×D5911yescharacteristic
1412#97—591no—
1413#97C22×D5911yescharacteristic
1414C4×C8—591no—
1415C4×C8—591no—
1416C24—21no—
1417C24—21no—
1418C24—1181no—
1419C24—1181no—
1420C24—1181no—
1421#41—1182no—
1422#41—1182no—
1423#41—1182no—
1424#41—1182no—
1425#41—1182no—
1426#41—1182no—
1427#41—1182no—
1428#41—1182no—
1429#41—1182no—
1430#41—1182no—
1431#41—1182no—
1432#41—1182no—
1433#41—1182no—
1434#41—1182no—
1435#41—2361no—
1436#41—2361no—
1437#41—2361no—
1438#41—2361no—
1439#41—2364no—
1440#41—2364no—
1441C2×Q8—591no—
1442C2×Q8—591no—
1443C2×Q8—591no—
1444C2×Q8—591no—
1445C2×Q8C23×D5911yescharacteristic
1446C2×D4—22no—
1447C2×D4—22no—
1448C2×D4—21no—
1449C2×D4—21no—
1450C2×D4—21no—
1451C2×D4—21no—
1452C2×D4—21no—
1453C2×D4—21no—
1454C2×D4—41no—
1455C2×D4—41no—
1456C2×D4—82no—
1457C2×D4—594no—
1458C2×D4—591no—
1459C2×D4—591no—
1460C2×D4—591no—
1461C2×D4—591no—
1462C2×D4—591no—
1463C2×D4—591no—
1464C2×D4—591no—
1465C2×D4—591no—
1466C2×D4—591no—
1467C2×D4—591no—
1468C2×D4—591no—
1469C2×D4—1181no—
1470C2×D4—1181no—
1471C2×D4—1181no—
1472C2×D4—1182no—
1473C2×D4—1181no—
1474C2×D4—1181no—
1475C2×D4—1181no—
1476C2×D4—1182no—
1477C2×D4—1182no—
1478C2×D4—1181no—
1479C2×D4—1181no—
1480C2×D4—1181no—
1481C2×D4—1181no—
1482C2×D4—1181no—
1483C2×D4—1181no—
1484C2×D4—1181no—
1485C2×D4—1181no—
1486C2×D4—1181no—
1487C2×D4—1181no—
1488C2×D4—4722no—
1489C2×D4—2361no—
1490C2×D4—2361no—
1491C2×D4—2364no—
1492C2×D4—2364no—
1493C2×D4—2364no—
1494C2×D4—2364no—
1495C2×D4—2364no—
1496C2×D4—2364no—
1497C2×D4D4×D5911yescharacteristic
1498C2×D4C23×D5911yescharacteristic
1499C2×D4C23×D5911yescharacteristic
1500C2×D4C23×D5911yescharacteristic
1501C22×C4—21no—
1502C22×C4—21no—
1503C22×C4—591no—
1504C22×C4—591no—
1505C22×C4—591no—
1506C22×C4—591no—
1507C22×C4—591no—
1508C22×C4—1181no—
1509C22×C4—1181no—
1510C22×C4—1181no—
1511C22×C4—1181no—
1512C22×C4—1181no—
1513C22×C4—1181no—
1514C22×C4—1181no—
1515C22×C4—1181no—
1516C22×C4—1181no—
1517C22×C4—1181no—
1518C22×C4—1181no—
1519C22×C4—1181no—
1520C22×C4—1181no—
1521C22×C4—1181no—
1522C22×C4—1181no—
1523C22×C4—1181no—
1524C22×C4—1181no—
1525C22×C4—1181no—
1526C22×C4—4722no—
1527C22×C4C23×D5911yescharacteristic
1528C22×C4C23×D5911yescharacteristic
1529Q16—2361no—
1530Q16—2361no—
1531SD16—22no—
1532SD16—41no—
1533SD16—41no—
1534SD16—1182no—
1535SD16—2361no—
1536SD16—2361no—
1537D8—1182no—
1538D8—1182no—
1539D8—2361no—
1540D8—2361no—
1541M16—41no—
1542M16—1182no—
1543M16—1182no—
1544M16—2361no—
1545M16—2361no—
1546M16—2361no—
1547C2×C8—41no—
1548C2×C8—591no—
1549C2×C8—591no—
1550C2×C8—591no—
1551C2×C8—591no—
1552C2×C8—1182no—
1553C2×C8—1182no—
1554C2×C8—2361no—
1555C2×C8—2361no—
1556C2×C8—2361no—
1557C2×C8C23×D5911yescharacteristic
1558C2×C8C23×D5911yescharacteristic
1559C2×C8C23×D5911yescharacteristic
1560C2×C8C23×D5911yescharacteristic
1561C4⋊C4—21no—
1562C4⋊C4—21no—
1563C4⋊C4—21no—
1564C4⋊C4—21no—
1565C4⋊C4—21no—
1566C4⋊C4—21no—
1567C4⋊C4—591no—
1568C4⋊C4—591no—
1569C4⋊C4—591no—
1570C4⋊C4—591no—
1571C4⋊C4—591no—
1572C4⋊C4—591no—
1573C4⋊C4—591no—
1574C4⋊C4—1181no—
1575C4⋊C4—1181no—
1576C4⋊C4—1181no—
1577C4⋊C4—1181no—
1578C4⋊C4—1181no—
1579C4⋊C4—1181no—
1580C4⋊C4—1181no—
1581C4⋊C4—1181no—
1582C4⋊C4—1181no—
1583C4⋊C4—1181no—
1584C4⋊C4—1181no—
1585C4⋊C4—1181no—
1586C4⋊C4—1181no—
1587C4⋊C4—1181no—
1588C4⋊C4—1181no—
1589C4⋊C4—1181no—
1590C4⋊C4—1181no—
1591C4⋊C4—1181no—
1592C4⋊C4—1181no—
1593C4⋊C4—1181no—
1594C4⋊C4—1181no—
1595C4⋊C4D4×D5911yescharacteristic
1596C4⋊C4C23×D5911yescharacteristic
1597C4⋊C4C23×D5911yescharacteristic
1598C4⋊C4C23×D5911yescharacteristic
1599C4⋊C4C23×D5911yescharacteristic
1600C22⋊C4—21no—
1601C22⋊C4—21no—
1602C22⋊C4—21no—
1603C22⋊C4—21no—
1604C22⋊C4—21no—
1605C22⋊C4—21no—
1606C22⋊C4—591no—
1607C22⋊C4—591no—
1608C22⋊C4—591no—
1609C22⋊C4—591no—
1610C22⋊C4—591no—
1611C22⋊C4—591no—
1612C22⋊C4—1181no—
1613C22⋊C4—1181no—
1614C22⋊C4—1181no—
1615C22⋊C4—1181no—
1616C22⋊C4—1181no—
1617C22⋊C4—1181no—
1618C22⋊C4—1181no—
1619C22⋊C4—1181no—
1620C22⋊C4—1181no—
1621C22⋊C4—1181no—
1622C22⋊C4—1181no—
1623C22⋊C4—1181no—
1624C22⋊C4—1181no—
1625C22⋊C4—1181no—
1626C22⋊C4—1181no—
1627C22⋊C4—1181no—
1628C22⋊C4—1181no—
1629C22⋊C4—1181no—
1630C22⋊C4—1181no—
1631C22⋊C4—1181no—
1632C22⋊C4—1181no—
1633C22⋊C4—1181no—
1634C22⋊C4—1181no—
1635C22⋊C4—1181no—
1636C22⋊C4—1181no—
1637C22⋊C4D4×D5911yescharacteristic
1638C22⋊C4D4×D5911yescharacteristic
1639C42—21no—
1640C42—21no—
1641C42—591no—
1642C42—591no—
1643C42—591no—
1644C42—1181no—
1645C42—1181no—
1646C42—1181no—
1647C42—1181no—
1648C42—1181no—
1649C42C23×D5911yescharacteristic
1650C23—21no—
1651C23—21no—
1652C23—21no—
1653C23—42no—
1654C23—42no—
1655C23—81no—
1656C23—81no—
1657C23—81no—
1658C23—81no—
1659C23—591no—
1660C23—591no—
1661C23—591no—
1662C23—1184no—
1663C23—1181no—
1664C23—1181no—
1665C23—4721no—
1666C23—4721no—
1667C23—4721no—
1668C23—4721no—
1669C23—4721no—
1670C23—4721no—
1671C23—2362no—
1672C23—2362no—
1673C23C2×D4×D5911yescharacteristic
1674C23C2×D4×D5911yescharacteristic
1675Q8—21no—
1676Q8—21no—
1677Q8—1182no—
1678Q8—1182no—
1679Q8—1181no—
1680Q8—1181no—
1681Q8—1181no—
1682Q8—1181no—
1683D4—21no—
1684D4—21no—
1685D4—21no—
1686D4—21no—
1687D4—21no—
1688D4—41no—
1689D4—42no—
1690D4—42no—
1691D4—42no—
1692D4—81no—
1693D4—81no—
1694D4—81no—
1695D4—592no—
1696D4—1182no—
1697D4—1182no—
1698D4—1184no—
1699D4—1182no—
1700D4—1182no—
1701D4—1182no—
1702D4—1182no—
1703D4—1181no—
1704D4—1181no—
1705D4—1181no—
1706D4—4721no—
1707D4—4721no—
1708D4—4721no—
1709D4—4721no—
1710D4—4721no—
1711D4—4721no—
1712D4—2361no—
1713D4—2362no—
1714D4—2361no—
1715D4—2361no—
1716D4—2362no—
1717D4—2362no—
1718D4—2362no—
1719D4—2362no—
1720D4—2362no—
1721D4—2362no—
1722D4—2362no—
1723D4—2362no—
1724D4#41×D5912yes—
1725C2×C4—21no—
1726C2×C4—21no—
1727C2×C4—21no—
1728C2×C4—21no—
1729C2×C4—21no—
1730C2×C4—21no—
1731C2×C4—21no—
1732C2×C4—21no—
1733C2×C4—21no—
1734C2×C4—42no—
1735C2×C4—81no—
1736C2×C4—591no—
1737C2×C4—592no—
1738C2×C4—592no—
1739C2×C4—591no—
1740C2×C4—591no—
1741C2×C4—591no—
1742C2×C4—591no—
1743C2×C4—1181no—
1744C2×C4—1181no—
1745C2×C4—1181no—
1746C2×C4—1181no—
1747C2×C4—1181no—
1748C2×C4—1181no—
1749C2×C4—1181no—
1750C2×C4—1181no—
1751C2×C4—1181no—
1752C2×C4—1181no—
1753C2×C4—4721no—
1754C2×C4—4721no—
1755C2×C4—4721no—
1756C2×C4—4721no—
1757C2×C4—4721no—
1758C2×C4—4721no—
1759C2×C4—4721no—
1760C2×C4—4721no—
1761C2×C4—4721no—
1762C2×C4—4721no—
1763C2×C4—2361no—
1764C2×C4—2361no—
1765C2×C4—2362no—
1766C2×C4—2362no—
1767C2×C4—2362no—
1768C2×C4—2362no—
1769C2×C4—2362no—
1770C2×C4—2362no—
1771C2×C4—2362no—
1772C2×C4—2362no—
1773C2×C4C2×D4×D5911yescharacteristic
1774C2×C4C2×D4×D5911yescharacteristic
1775C2×C4C2×D4×D5911yescharacteristic
1776C2×C4C2×D4×D5911yescharacteristic
1777C2×C4C24×D5911yescharacteristic
1778C8—21no—
1779C8—21no—
1780C8—21no—
1781C8—21no—
1782C8—1181no—
1783C8—1181no—
1784C8—1181no—
1785C8—1181no—
1786C22—21no—
1787C22—21no—
1788C22—22no—
1789C22—21no—
1790C22—21no—
1791C22—21no—
1792C22—21no—
1793C22—41no—
1794C22—41no—
1795C22—41no—
1796C22—41no—
1797C22—41no—
1798C22—41no—
1799C22—41no—
1800C22—41no—
1801C22—162no—
1802C22—162no—
1803C22—592no—
1804C22—1181no—
1805C22—1181no—
1806C22—1181no—
1807C22—1181no—
1808C22—1182no—
1809C22—1181no—
1810C22—1181no—
1811C22—1181no—
1812C22—1181no—
1813C22—9442no—
1814C22—9442no—
1815C22—4724no—
1816C22—2361no—
1817C22—2361no—
1818C22—2361no—
1819C22—2361no—
1820C22—2361no—
1821C22C22×D4×D5911yescharacteristic
1822C4—21no—
1823C4—21no—
1824C4—21no—
1825C4—21no—
1826C4—41no—
1827C4—41no—
1828C4—41no—
1829C4—41no—
1830C4—41no—
1831C4—592no—
1832C4—1181no—
1833C4—1181no—
1834C4—1181no—
1835C4—1181no—
1836C4—2361no—
1837C4—2361no—
1838C4—2361no—
1839C4—2361no—
1840C4—2361no—
1841C4—2361no—
1842C4C2×#41×D5911yescharacteristic
1843C4H(5,𝔽2)×D5911yescharacteristic
1844C2—41no—
1845C2—41no—
1846C2—42no—
1847C2—81no—
1848C2—81no—
1849C2—1182no—
1850C2—4721no—
1851C2—2361no—
1852C2—2361no—
1853C2—2362no—
1854C2#546×D5911yescharacteristic
1855C2#2143886811yescharacteristic
1856C2#2143887211yescharacteristic
subgroupG/H
centerC22C22×D4×D59
commutator, cosocleC2×C4×C59C25
FrattiniC2×C4C24×D59
FittingC59×#3310C2
socleC22×C59C23×D4
hypercenter#3310D59
hypocenterC59#61201
LCSG ▷ C2×C4×C59 ▷ C2×C59 ▷ C59
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3310

Complements

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

NH ≅ G/Ntype
1. #21438010C2semidirect
2. #21437852C2semidirect
3. #21436316C2semidirect
4. #21436307C2semidirect
5. #21436300C2semidirect
6. #21436293C2semidirect
7. #21436237C2semidirect
8. #21436236C2semidirect
9. #21436197C2semidirect
10. #21436186C2semidirect
11. #21436124C2semidirect
12. #21436074C2semidirect
13. #21436069C2semidirect
14. #21435949C2semidirect
15. #21435942C2semidirect
16. #21435935C2semidirect
17. #21435926C2semidirect
18. #21434495C2semidirect
19. #21434088C2semidirect
20. #21434069C2semidirect
21. #478×D59C2semidirect
22. #21433764C2semidirect
23. #21433753C2semidirect
24. #21433546C2semidirect
25. #21433401C2semidirect
26. #21433401C2semidirect
27. #21432901C2semidirect
28. #21432837C2semidirect
29. #21432621C2semidirect
30. #21432617C2semidirect
31. C59×#3310C2semidirect
35. C2×#14273748C22semidirect
36. C2×#14273748C22semidirect
37. C2×#14273735C22semidirect
38. C2×#14273733C22semidirect
40. #16838105C22semidirect
42. #16838100C22semidirect
43. #16838098C22semidirect
46. #16838096C22semidirect
47. #16838094C22semidirect
48. #16838093C22semidirect
49. #16838086C22semidirect
63. #16837982C22semidirect
64. #16837982C22semidirect
73. #125×D59C22semidirect
76. #16837883C22semidirect
77. #16837882C22semidirect
78. C4×#11745689C22semidirect
80. #16837772C22semidirect
81. #16837771C22semidirect
82. #16837766C22semidirect
83. #16837755C22semidirect
84. #16837755C22semidirect
85. #16837755C22semidirect
86. #16837755C22semidirect
87. #16837745C22semidirect
88. #16837745C22semidirect
89. #16837744C22semidirect
90. #16837743C22semidirect
91. #16837739C22semidirect
92. #16837737C22semidirect
93. #16837734C22semidirect
94. #16837733C22semidirect
95. #16837725C22semidirect
96. #16837725C22semidirect
97. #16837723C22semidirect
98. #16837719C22semidirect
99. #16837718C22semidirect
100. #16837714C22semidirect
101. #16837705C22semidirect
102. #16837704C22semidirect
103. #16837703C22semidirect
104. #16837702C22semidirect
105. #16837701C22semidirect
106. #16837700C22semidirect
107. #16837699C22semidirect
108. #16837659C22semidirect
109. #16837658C22semidirect
110. #16837654C22semidirect
111. #16837653C22semidirect
112. #16837649C22semidirect
113. #16837648C22semidirect
114. #16837645C22semidirect
115. #16837642C22semidirect
116. #16837641C22semidirect
117. #16837637C22semidirect
118. #16837636C22semidirect
119. #16837632C22semidirect
120. #16837631C22semidirect
121. #16837628C22semidirect
122. #16837622C22semidirect
123. #16837622C22semidirect
124. #16837616C22semidirect
125. #16837616C22semidirect
126. #16837612C22semidirect
127. #16837608C22semidirect
128. #16837594C22semidirect
129. #16837562C22semidirect
130. #16837562C22semidirect
131. #16837561C22semidirect
132. #16837561C22semidirect
133. #16837551C22semidirect
134. #16837551C22semidirect
135. #16837549C22semidirect
136. #16837549C22semidirect
137. #16837548C22semidirect
138. #16837548C22semidirect
139. #16837537C22semidirect
140. #16837537C22semidirect
141. #16837536C22semidirect
142. #16837536C22semidirect
143. #16837515C22semidirect
144. #16837512C22semidirect
145. #16837500C22semidirect
146. SD16×Dic59C22semidirect
147. #16837487C22semidirect
148. #16837484C22semidirect
149. #16837482C22semidirect
150. #16837478C22semidirect
151. #16837477C22semidirect
152. #16837475C22semidirect
153. #16837474C22semidirect
154. #16837472C22semidirect
155. C8×C22⋊D59C22semidirect
156. (C22⋊D59)⋊C8C22semidirect
157. #16837443C22semidirect
158. #107×D59C22semidirect
159. #106×D59C22semidirect
160. C4⋊C8×D59C22semidirect
161. #16837407C22semidirect
163. #16837405C22semidirect
164. #16837405C22semidirect
165. #16837404C22semidirect
166. #16837402C22semidirect
167. #16837401C22semidirect
168. #16837400C22semidirect
169. #16837400C22semidirect
170. #16837400C22semidirect
171. #16837400C22semidirect
172. #16837400C22semidirect
173. #16837400C22semidirect
174. #16837399C22semidirect
175. #16837396C22semidirect
176. #16837395C22semidirect
177. #16837395C22semidirect
178. #16837395C22semidirect
179. #16837395C22semidirect
180. C2×#14273648C22semidirect
183. #102×D59C22semidirect
184. #102×D59C22semidirect
185. #16837367C22semidirect
186. #16837367C22semidirect
187. #16837354C22semidirect
188. C59×#552C22semidirect
190. C59×#490C22semidirect
191. C59×#482C22semidirect
192. C59×#480C22semidirect
193. C59×#478C22semidirect
194. C59×#468C22semidirect
195. C59×#465C22semidirect
196. C59×#460C22semidirect
197. C59×#450C22semidirect
198. C59×#450C22semidirect
199. C59×#440C22semidirect
200. C59×#435C22semidirect
201. C59×#418C22semidirect
202. C2×#102×C59C22semidirect
927. #3310D59semidirect
978. #552C2×D59semidirect
1013. #490C2×D59semidirect
1029. #482C2×D59semidirect
1033. #480C2×D59semidirect
1041. #478C2×D59semidirect
1049. #468C2×D59semidirect
1057. #465C2×D59semidirect
1064. #460C2×D59semidirect
1072. #450C2×D59semidirect
1073. #450C2×D59semidirect
1085. #440C2×D59semidirect
1095. #435C2×D59semidirect
1106. #418C2×D59semidirect
1127. C2×#102C2×D59semidirect
1131. C59#61201semidirect

Maximal subgroups

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

subgroupindex
#214380102
#214378522
#214363162
#214363072
#214363002
#214362932
#214362372
#214362362
#214361972
#214361862
#214361242
#214360742
#214360692
#214359492
#214359422
#214359352
#214359262
#214344952
#214340882
#214340692
#478×D592
#214337642
#214337532
#214335462
#214334012
#214329012
#214328372
#214326212
#214326172
C59×#33102
#6120159