Finite Group Databasebeta

← #29465817

Subgroups — #29465817

Order 15104.

2124 conjugacy classes of subgroups.

The subgroup lattice has 1824 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#552×D59C211yesmaximal, characteristic, complemented
2D4×#11745687C211yesmaximal, characteristic
3#21436370C211yesmaximal, characteristic, complemented
4#21436362C211yesmaximal, characteristic, complemented
5#21436316C211yesmaximal, characteristic, complemented
6#21436308C211yesmaximal, characteristic, complemented
7#21436229C211yesmaximal, characteristic, complemented
8#21436221C211yesmaximal, characteristic, complemented
9#21436197C211yesmaximal, characteristic, complemented
10#21436189C211yesmaximal, characteristic, complemented
11#21436149C211yesmaximal, characteristic, complemented
12#21436141C211yesmaximal, characteristic, complemented
13#21436117C211yesmaximal, characteristic, complemented
14#21435989C211yesmaximal, characteristic, complemented
15#21435981C211yesmaximal, characteristic, complemented
16#21435935C211yesmaximal, characteristic, complemented
17#21435927C211yesmaximal, characteristic, complemented
18#21434495C211yesmaximal, characteristic, complemented
19#21434024C211yesmaximal, characteristic, complemented
20#21434015C211yesmaximal, characteristic, complemented
21#21433913C211yesmaximal, characteristic, complemented
22#21433721C211yesmaximal, characteristic, complemented
23#21433719C211yesmaximal, characteristic, complemented
24#21433563C211yesmaximal, characteristic, complemented
25#21433351C211yesmaximal, characteristic, complemented
26#21433351C211yesmaximal, characteristic, complemented
27#21432918C211yesmaximal, characteristic, complemented
28#21432829C211yesmaximal, characteristic, complemented
29#21432610C211yesmaximal, characteristic, complemented
30C2×#16837400C211yesmaximal, characteristic, complemented
31C59×#3310C211yesmaximal, characteristic, complemented
32C22×#11745687C2211yescharacteristic
33C22×#11745687C2211yescharacteristic
34C2×#14273756C2211yescharacteristic
35C2×#14273756C2211yescharacteristic, complemented
36C2×#14273756C2211yescharacteristic, complemented
37C22×#11745659C2211yescharacteristic, complemented
38C2×M16×D59C2211yescharacteristic, complemented
39#16838094C2211yescharacteristic, complemented
40#16838093C2211yescharacteristic, complemented
41#16838092C2211yescharacteristic
42#16838091C2211yescharacteristic, complemented
43#16838090C2211yescharacteristic, complemented
44#16838089—21no—
45#16838088—21no—
46#16838087C2211yescharacteristic, complemented
47#16838086C2211yescharacteristic, complemented
48#16838085—21no—
49#16838084—21no—
50#16838072C2211yescharacteristic
51D4×Dic118C2211yescharacteristic
52#16838058C2211yescharacteristic
53#16838058C2211yescharacteristic
54#16838056C2211yescharacteristic
55#16838052—21no—
56#16838046C2211yescharacteristic
57#16838046C2211yescharacteristic
58#16838039—21no—
59#16838039—21no—
60D4×C22⋊D59—21no—
61#16837950C2211yescharacteristic
62#16837947—21no—
63#126×D59—21no—
64#125×D59—21no—
65#125×D59C2211yescharacteristic, complemented
66#16837912C2211yescharacteristic
67#16837912C2211yescharacteristic
68#16837908—21no—
69#16837908—21no—
70#123×D59—21no—
71C22⋊Q8×D59C2211yescharacteristic, complemented
72C22⋊Q8×D59C2211yescharacteristic, complemented
73C4×#11745687C2211yescharacteristic
74C4×Q8×D59C2211yescharacteristic, complemented
75C2×D4×Dic59—21no—
76C4×D4×D59C2211yescharacteristic
77#117×D59—21no—
78#117×D59C2211yescharacteristic, complemented
79C2×C4⋊C4×D59C2211yescharacteristic, complemented
80#16837772C2211yescharacteristic, complemented
81#16837771C2211yescharacteristic, complemented
82#16837766C2211yescharacteristic, complemented
83#16837755C2211yescharacteristic, complemented
84#16837755C2211yescharacteristic, complemented
85#16837755C2211yescharacteristic, complemented
86#16837755C2211yescharacteristic, complemented
87#16837746C2211yescharacteristic, complemented
88#16837745C2211yescharacteristic, complemented
89#16837744C2211yescharacteristic, complemented
90#16837743C2211yescharacteristic, complemented
91#16837739C2211yescharacteristic, complemented
92#16837739C2211yescharacteristic, complemented
93#16837733C2211yescharacteristic, complemented
94#16837732C2211yescharacteristic, complemented
95#16837725C2211yescharacteristic, complemented
96#16837724C2211yescharacteristic, complemented
97#16837723C2211yescharacteristic, complemented
98#16837719C2211yescharacteristic, complemented
99#16837719C2211yescharacteristic, complemented
100#16837713C2211yescharacteristic, complemented
101#16837712C2211yescharacteristic, complemented
102#16837710C2211yescharacteristic, complemented
103#16837708C2211yescharacteristic, complemented
104#16837706C2211yescharacteristic, complemented
105#16837704C2211yescharacteristic, complemented
106#16837702C2211yescharacteristic, complemented
107#16837700C2211yescharacteristic, complemented
108#16837661C2211yescharacteristic, complemented
109#16837660C2211yescharacteristic, complemented
110#16837659C2211yescharacteristic, complemented
111#16837658C2211yescharacteristic, complemented
112#16837647C2211yescharacteristic, complemented
113#16837646C2211yescharacteristic, complemented
114#16837645C2211yescharacteristic, complemented
115#16837644C2211yescharacteristic, complemented
116#16837643C2211yescharacteristic, complemented
117#16837642C2211yescharacteristic, complemented
118#16837641C2211yescharacteristic, complemented
119#16837630C2211yescharacteristic, complemented
120#16837629C2211yescharacteristic, complemented
121#16837628C2211yescharacteristic, complemented
122#16837623C2211yescharacteristic, complemented
123#16837623C2211yescharacteristic, complemented
124#16837622C2211yescharacteristic, complemented
125#16837622C2211yescharacteristic, complemented
126#16837613C2211yescharacteristic, complemented
127#16837612C2211yescharacteristic, complemented
128#16837599C2211yescharacteristic, complemented
129#16837565C2211yescharacteristic, complemented
130#16837565C2211yescharacteristic, complemented
131#16837565C2211yescharacteristic, complemented
132#16837565C2211yescharacteristic, complemented
133#16837561C2211yescharacteristic, complemented
134#16837561C2211yescharacteristic, complemented
135#16837561C2211yescharacteristic, complemented
136#16837561C2211yescharacteristic, complemented
137#16837560C2211yescharacteristic, complemented
138#16837560C2211yescharacteristic, complemented
139#16837557C2211yescharacteristic, complemented
140#16837557C2211yescharacteristic, complemented
141#16837553C2211yescharacteristic, complemented
142#16837553C2211yescharacteristic, complemented
143#16837510C2211yescharacteristic, complemented
144#16837507C2211yescharacteristic, complemented
145#16837502C2211yescharacteristic, complemented
146#16837496C2211yescharacteristic, complemented
147#16837494C2211yescharacteristic, complemented
148#16837493C2211yescharacteristic, complemented
149SD16×Dic59C2211yescharacteristic, complemented
150#16837478C2211yescharacteristic, complemented
151#16837477C2211yescharacteristic, complemented
152#16837475C2211yescharacteristic, complemented
153#16837474C2211yescharacteristic
154#16837472C2211yescharacteristic, complemented
155C8×C22⋊D59C2211yescharacteristic, complemented
156(C22⋊D59)⋊C8C2211yescharacteristic, complemented
157#16837443C2211yescharacteristic, complemented
158#16837443C2211yescharacteristic, complemented
159#16837441C2211yescharacteristic, complemented
160#16837424C2211yescharacteristic, complemented
161#16837412C2211yescharacteristic, complemented
162#16837410C2211yescharacteristic, complemented
163#16837409C2211yescharacteristic, complemented
164#16837407C2211yescharacteristic, complemented
165#16837400C2211yescharacteristic
166#16837400C2211yescharacteristic
167#16837400C2211yescharacteristic
168#16837400C2211yescharacteristic, complemented
169#16837400C2211yescharacteristic, complemented
170#16837400C2211yescharacteristic, complemented
171#16837400C2211yescharacteristic, complemented
172#16837400C2211yescharacteristic, complemented
173#16837400C2211yescharacteristic, complemented
174#16837400C2211yescharacteristic, complemented
175#16837400C2211yescharacteristic, complemented
176#16837400C2211yescharacteristic, complemented
177#16837400C2211yescharacteristic, complemented
178#16837395C2211yescharacteristic, complemented
179#16837395C2211yescharacteristic, complemented
180#16837395C2211yescharacteristic, complemented
181#16837395C2211yescharacteristic, complemented
182C2×#14273652C2211yescharacteristic, complemented
183C2×#14273650C2211yescharacteristic, complemented
184C2×#14273648C2211yescharacteristic, complemented
185#16837364C2211yescharacteristic, complemented
186#16837364C2211yescharacteristic, complemented
187#16837354C2211yescharacteristic, complemented
188C59×#552C2211yescharacteristic
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
201C59×#418C2211yescharacteristic, complemented
202C2×#102×C59C2211yescharacteristic, complemented
203C2×#11745687—24no—
204C2×#11745687—24no—
205C2×#11745687—21no—
206C2×#11745687—21no—
207C2×#11745687—21no—
208C2×#11745687—21no—
209C2×#11745687—42no—
210C2×#11745687—42no—
211C2×#11745687C2311yescharacteristic
212C2×#11745687C2311yescharacteristic
213C2×#11745687C2311yescharacteristic
214C2×#11745687C2311yescharacteristic
215C2×#11745687C2311yescharacteristic
216C2×#11745687C2311yescharacteristic
217C2×#11745687C2311yescharacteristic
218C22×Dic118C2311yescharacteristic
219C22×Dic118C2311yescharacteristic
220C2×Q8×D59C2311yescharacteristic
221C22×C22⋊D59—21no—
222C22×C22⋊D59—21no—
223C2×D4×D59D411yescharacteristic
224C23×Dic59—21no—
225C23×Dic59—21no—
226C22×C4×D59—21no—
227C22×C4×D59C2311yescharacteristic
228C22×C4×D59C2311yescharacteristic
229#14273756—24no—
230#14273756—42no—
231#14273756—42no—
232C2×Dic236C2311yescharacteristic
233C2×Dic236C2311yescharacteristic
234C2×Dic236C2311yescharacteristic
235C2×#11745672C2311yescharacteristic
236C2×#11745672C2311yescharacteristic
237C2×#11745672C2311yescharacteristic
238C2×#11745670C2311yescharacteristic
239C2×#11745670C2311yescharacteristic
240C2×#11745670C2311yescharacteristic
241C2×#11745664C2311yescharacteristic
242C2×#11745659—42no—
243C2×#11745659C2311yescharacteristic
244C2×#11745659C2311yescharacteristic
245C2×#11745659C2311yescharacteristic
246C2×#11745659C2311yescharacteristic
247C2×#11745659C2311yescharacteristic
248C2×#11745659C2311yescharacteristic
249M16×D59—42no—
250C22×C59⋊C8C2311yescharacteristic
251C2×C8×D59C2311yescharacteristic
252C2×C8×D59C2311yescharacteristic
253#14273727C2311yescharacteristic
254#14273726—21no—
255#14273723—21no—
256#14273722—21no—
257#14273722—21no—
258#14273722—21no—
259#14273721—21no—
260#14273720—21no—
261#14273720—21no—
262#14273720—21no—
263#14273719—21no—
264#14273719C2311yescharacteristic
265#14273718—21no—
266#14273718—21no—
267#14273718C2311yescharacteristic
268#14273718C2311yescharacteristic
269#14273717—21no—
270#14273717—21no—
271#14273717—21no—
272#14273717—21no—
273#14273717—21no—
274#14273717—21no—
275#14273714C2311yescharacteristic
276#14273714C2311yescharacteristic
277#14273713—21no—
278#14273713—21no—
279#14273712—21no—
280#14273712—21no—
281#14273711—21no—
282#14273711—21no—
283#14273711—21no—
284#14273710—21no—
285#14273709—21no—
286#14273709—21no—
287#14273709—21no—
288#14273709—21no—
289#14273708—21no—
290#14273708—21no—
291#14273708—21no—
292#14273707C2311yescharacteristic
293#14273707C2311yescharacteristic
294#14273707C2311yescharacteristic
295#14273707C2311yescharacteristic
296#14273706C2311yescharacteristic
297#14273706C2311yescharacteristic
298#14273706C2311yescharacteristic
299#14273706C2311yescharacteristic
300#14273705—21no—
301#14273705—21no—
302#14273704—21no—
303#14273704—21no—
304#14273704—21no—
305#14273704—21no—
306#14273704—21no—
307#14273704—21no—
308#14273703C2311yescharacteristic
309#14273703C2311yescharacteristic
310#14273701—21no—
311#14273699—21no—
312#14273699—21no—
313#14273699—21no—
314#14273699—21no—
315#14273699—21no—
316#14273699—21no—
317#14273698—21no—
318#14273698—21no—
319#14273698C2311yescharacteristic
320#14273698C2311yescharacteristic
321#14273696—21no—
322#14273696—21no—
323#14273695—21no—
324#14273695—21no—
325Q8×Dic59C2311yescharacteristic
326C4×Dic118—21no—
327C4×Dic118C2311yescharacteristic
328C4×Dic118C2311yescharacteristic
329#14273692—21no—
330#14273692C2311yescharacteristic
331#14273692C2311yescharacteristic
332C4×D236C2311yescharacteristic
333D4×Dic59—21no—
334D4×Dic59—21no—
335D4×Dic59—21no—
336D4×Dic59—21no—
337D4×Dic59—21no—
338D4×Dic59—21no—
339D4×Dic59—21no—
340D4×Dic59—21no—
341D4×Dic59D411yescharacteristic
342D4×Dic59C2311yescharacteristic
343#14273689D411yescharacteristic
344C4×C22⋊D59—21no—
345C4×C22⋊D59C2311yescharacteristic
346C4×C22⋊D59C2311yescharacteristic
347(C22⋊D59)⋊C4—21no—
348(C22⋊D59)⋊C4—21no—
349(C22⋊D59)⋊C4—21no—
350(C22⋊D59)⋊C4D411yescharacteristic
351(C22⋊D59)⋊C4D411yescharacteristic
352#14273686—21no—
353#14273686C2311yescharacteristic
354#14273685—21no—
355#14273685—21no—
356#14273685C2311yescharacteristic
357#14273685C2311yescharacteristic
358#14273685C2311yescharacteristic
359#14273684—21no—
360#14273684—21no—
361#14273684—21no—
362#14273683—21no—
363#14273683—21no—
364#14273683—21no—
365#14273683—21no—
366C2×C4⋊Dic59—21no—
367C2×C4⋊Dic59C2311yescharacteristic
368C2×Dic59⋊C4—21no—
369C4⋊C4×D59—21no—
370C4⋊C4×D59—21no—
371C4⋊C4×D59—21no—
372C4⋊C4×D59—21no—
373C4⋊C4×D59—21no—
374C4⋊C4×D59—21no—
375C4⋊C4×D59—21no—
376C4⋊C4×D59D411yescharacteristic
377C4⋊C4×D59C2311yescharacteristic
378C4⋊C4×D59C2311yescharacteristic
379C4⋊C4×D59C2311yescharacteristic
380C4⋊C4×D59C2311yescharacteristic
381C4⋊C4×D59C2311yescharacteristic
382C2×C22⋊Dic59—21no—
383C2×C22⋊Dic59—21no—
384C22⋊C4×D59—21no—
385C22⋊C4×D59—21no—
386C22⋊C4×D59—21no—
387C22⋊C4×D59D411yescharacteristic
388C22⋊C4×D59D411yescharacteristic
389C2×C4×Dic59—21no—
390C42×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#14273652C2311yescharacteristic
412#14273652C2311yescharacteristic
413#14273652C2311yescharacteristic
414#14273652C2311yescharacteristic
415#14273651C2311yescharacteristic
416#14273650C2311yescharacteristic
417#14273650C2311yescharacteristic
418#14273650C2311yescharacteristic
419#14273650C2311yescharacteristic
420#14273650C2311yescharacteristic
421#14273650C2311yescharacteristic
422#14273650C2311yescharacteristic
423#14273650C2311yescharacteristic
424#14273650C2311yescharacteristic
425#14273650C2311yescharacteristic
426#14273648C2311yescharacteristic
427#14273648C2311yescharacteristic
428#14273648C2311yescharacteristic
429#14273648C2311yescharacteristic
430#14273648C2311yescharacteristic
431#14273648C2311yescharacteristic
432#14273648C2311yescharacteristic
433#14273648C2311yescharacteristic
434#14273648C2311yescharacteristic
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×D59C2×D411yescharacteristic
490C23×D59C2×D411yescharacteristic
491C2×Q8×C59C2411yescharacteristic
492C2×D4×C59—22no—
493C2×D4×C59—22no—
494C2×D4×C59—21no—
495C2×D4×C59—21no—
496C2×D4×C59—21no—
497C2×D4×C59—21no—
498C2×D4×C59—21no—
499C2×D4×C59—21no—
500C2×D4×C59—41no—
501C2×D4×C59—41no—
502C2×D4×C59—44no—
503C2×D4×C59C2×D411yescharacteristic
504C2×D4×C59C2411yescharacteristic
505C2×D4×C59C2411yescharacteristic
506C2×D4×C59C2411yescharacteristic
507C22×C4×C59—21no—
508C22×C4×C59—21no—
509C22×C4×C59C2411yescharacteristic
510C22×C4×C59C2411yescharacteristic
511C2×C22⋊D59—21no—
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—44no—
521C2×C22⋊D59—44no—
522C2×C22⋊D59C2×D411yescharacteristic
523C2×C22⋊D59C2×D411yescharacteristic
524C22×Dic59—21no—
525C22×Dic59—21no—
526C22×Dic59—21no—
527C22×Dic59—21no—
528C22×Dic59—21no—
529C22×Dic59—21no—
530C22×Dic59—21no—
531C22×Dic59—21no—
532C22×Dic59—21no—
533C22×Dic59—21no—
534C22×Dic59—21no—
535C22×Dic59—44no—
536C22×Dic59—44no—
537C22×Dic59C2×D411yescharacteristic
538C22×Dic59C2×D411yescharacteristic
539Q8×D59—22no—
540Q8×D59—22no—
541#11745687—22no—
542#11745687—22no—
543#11745687—22no—
544#11745687—22no—
545#11745687—22no—
546#11745687—22no—
547#11745687—22no—
548#11745687—22no—
549#11745687—22no—
550#11745687—41no—
551#11745687—41no—
552#11745687—41no—
553#11745687—41no—
554#11745687—44no—
555#11745687—44no—
556#11745687—44no—
557#11745687—44no—
558#11745687#4114yes—
559D4×D59—42no—
560C2×D236C2×D411yescharacteristic
561C2×C4×D59—22no—
562C2×C4×D59—22no—
563C2×C4×D59—22no—
564C2×C4×D59—22no—
565C2×C4×D59—21no—
566C2×C4×D59—21no—
567C2×C4×D59—21no—
568C2×C4×D59—21no—
569C2×C4×D59—21no—
570C2×C4×D59—21no—
571C2×C4×D59—44no—
572C2×C4×D59C2×D411yescharacteristic
573C2×C4×D59C2×D411yescharacteristic
574C2×C4×D59C2×D411yescharacteristic
575C2×C4×D59C2×D411yescharacteristic
576C2×C4×D59C2×D411yescharacteristic
577C2×C4×D59C2×D411yescharacteristic
578C2×C4×D59C2411yescharacteristic
579C2×C4×D59C2411yescharacteristic
580C2×C4×D59C2411yescharacteristic
581C2×Dic118—22no—
582C2×Dic118—22no—
583C2×Dic118—21no—
584C2×Dic118—21no—
585C2×Dic118—21no—
586C2×Dic118—41no—
587C2×Dic118—41no—
588C2×Dic118C2411yescharacteristic
589C2×Dic118C2411yescharacteristic
590C2×Dic118C2411yescharacteristic
591C2×Dic118C2411yescharacteristic
592SD16×C59—22no—
593SD16×C59—41no—
594SD16×C59—41no—
595M16×C59—41no—
596C2×C8×C59—41no—
597C2×C8×C59C2411yescharacteristic
598C2×C8×C59C2411yescharacteristic
599C2×C8×C59C2411yescharacteristic
600C2×C8×C59C2411yescharacteristic
601C4⋊C4×C59—21no—
602C4⋊C4×C59—21no—
603C4⋊C4×C59—21no—
604C4⋊C4×C59—21no—
605C4⋊C4×C59—21no—
606C4⋊C4×C59—21no—
607C4⋊C4×C59C2×D411yescharacteristic
608C4⋊C4×C59C2411yescharacteristic
609C4⋊C4×C59C2411yescharacteristic
610C4⋊C4×C59C2411yescharacteristic
611C4⋊C4×C59C2411yescharacteristic
612C22⋊C4×C59—21no—
613C22⋊C4×C59—21no—
614C22⋊C4×C59—21no—
615C22⋊C4×C59—21no—
616C22⋊C4×C59—21no—
617C22⋊C4×C59—21no—
618C22⋊C4×C59C2×D411yescharacteristic
619C22⋊C4×C59C2×D411yescharacteristic
620C42×C59—21no—
621C42×C59—21no—
622C42×C59C2411yescharacteristic
623C22⋊Dic59—21no—
624C22⋊Dic59—21no—
625C22⋊Dic59—21no—
626C22⋊Dic59—21no—
627C22⋊Dic59—21no—
628C22⋊Dic59—21no—
629C22⋊Dic59—21no—
630C22⋊Dic59—21no—
631C22⋊Dic59—21no—
632C22⋊Dic59—21no—
633C22⋊Dic59—21no—
634C22⋊Dic59—21no—
635C22⋊Dic59C2×D411yescharacteristic
636C22⋊Dic59C2×D411yescharacteristic
637#11745672—22no—
638#11745672—41no—
639#11745672—41no—
640#11745670—22no—
641#11745670—41no—
642#11745670—41no—
643(C2×D59)⋊C4—21no—
644(C2×D59)⋊C4—21no—
645(C2×D59)⋊C4—21no—
646(C2×D59)⋊C4—21no—
647(C2×D59)⋊C4—21no—
648(C2×D59)⋊C4—21no—
649(C2×D59)⋊C4—21no—
650(C2×D59)⋊C4—21no—
651(C2×D59)⋊C4—21no—
652(C2×D59)⋊C4C2×D411yescharacteristic
653(C2×D59)⋊C4C2×D411yescharacteristic
654(C2×D59)⋊C4C2×D411yescharacteristic
655(C2×D59)⋊C4C2×D411yescharacteristic
656C4⋊Dic59—21no—
657C4⋊Dic59—21no—
658C4⋊Dic59—21no—
659C4⋊Dic59—21no—
660C4⋊Dic59—21no—
661C4⋊Dic59—21no—
662C4⋊Dic59—21no—
663C4⋊Dic59—21no—
664C4⋊Dic59—21no—
665C4⋊Dic59—21no—
666C4⋊Dic59C2×D411yescharacteristic
667C4⋊Dic59C2411yescharacteristic
668C4⋊Dic59C2411yescharacteristic
669C4⋊Dic59C2411yescharacteristic
670C4⋊Dic59C2411yescharacteristic
671Dic59⋊C4—21no—
672Dic59⋊C4—21no—
673Dic59⋊C4—21no—
674Dic59⋊C4—21no—
675Dic59⋊C4—21no—
676Dic59⋊C4—21no—
677Dic59⋊C4—21no—
678Dic59⋊C4—21no—
679Dic59⋊C4—21no—
680Dic59⋊C4—21no—
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⋊C4C2×D411yescharacteristic
691Dic59⋊C4C2×D411yescharacteristic
692C4×Dic59—21no—
693C4×Dic59—21no—
694C4×Dic59—21no—
695C4×Dic59—21no—
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
710Dic236—22no—
711Dic236—41no—
712Dic236—41no—
713#11745659—22no—
714#11745659—22no—
715#11745659—22no—
716#11745659—22no—
717#11745659—41no—
718#11745659—41no—
719C8×D59—41no—
720C8×D59—41no—
721C23×C59—21no—
722C23×C59—21no—
723C23×C59—21no—
724C23×C59—42no—
725C23×C59—42no—
726C23×C59—42no—
727C23×C59—42no—
728C23×C59—81no—
729C23×C59—81no—
730C23×C59C22×D411yescharacteristic
731C23×C59C22×D411yescharacteristic
732C22×D59—22no—
733C22×D59—22no—
734C22×D59—22no—
735C22×D59—41no—
736C22×D59—41no—
737C22×D59—41no—
738C22×D59C22×D411yescharacteristic
739C22×D59C22×D411yescharacteristic
740C22×D59C22×D411yescharacteristic
741Q8×C59—21no—
742Q8×C59—21no—
743D4×C59—22no—
744D4×C59—21no—
745D4×C59—21no—
746D4×C59—21no—
747D4×C59—21no—
748D4×C59—21no—
749D4×C59—42no—
750D4×C59—42no—
751D4×C59—42no—
752D4×C59—42no—
753D4×C59—42no—
754D4×C59—81no—
755D4×C59C2×#4112yes—
756C2×C4×C59—21no—
757C2×C4×C59—21no—
758C2×C4×C59—21no—
759C2×C4×C59—21no—
760C2×C4×C59—21no—
761C2×C4×C59—21no—
762C2×C4×C59—21no—
763C2×C4×C59—21no—
764C2×C4×C59—21no—
765C2×C4×C59—42no—
766C2×C4×C59—42no—
767C2×C4×C59C22×D411yescharacteristic
768C2×C4×C59C22×D411yescharacteristic
769C2×C4×C59C22×D411yescharacteristic
770C2×C4×C59C22×D411yescharacteristic
771C2×C4×C59C2511yescharacteristic
772C22⋊D59—22no—
773C22⋊D59—24no—
774C22⋊D59—41no—
775C22⋊D59—42no—
776C22⋊D59—42no—
777C22⋊D59—42no—
778C22⋊D59—42no—
779C22⋊D59—42no—
780C22⋊D59—42no—
781C22⋊D59—81no—
782C22⋊D59—81no—
783C2×Dic59—21no—
784C2×Dic59—22no—
785C2×Dic59—22no—
786C2×Dic59—24no—
787C2×Dic59—21no—
788C2×Dic59—21no—
789C2×Dic59—21no—
790C2×Dic59—21no—
791C2×Dic59—21no—
792C2×Dic59—21no—
793C2×Dic59—21no—
794C2×Dic59—42no—
795C2×Dic59—42no—
796C2×Dic59—42no—
797C2×Dic59—42no—
798C2×Dic59—42no—
799C2×Dic59—42no—
800C2×Dic59—42no—
801C2×Dic59—42no—
802C2×Dic59—42no—
803C2×Dic59—81no—
804C2×Dic59C22×D411yescharacteristic
805C2×Dic59C22×D411yescharacteristic
806C2×Dic59C22×D411yescharacteristic
807C2×Dic59C22×D411yescharacteristic
808C2×Dic59C22×D411yescharacteristic
809D236—41no—
810C4×D59—22no—
811C4×D59—22no—
812C4×D59—21no—
813C4×D59—21no—
814C4×D59—21no—
815C4×D59—21no—
816C4×D59—22no—
817C4×D59—22no—
818C4×D59—41no—
819C4×D59—41no—
820C4×D59—42no—
821C4×D59—42no—
822C4×D59—42no—
823C4×D59—42no—
824C4×D59—42no—
825C4×D59—42no—
826C4×D59C2×#4112yes—
827C4×D59H(5,𝔽2)12yes—
828Dic118—21no—
829Dic118—21no—
830Dic118—21no—
831Dic118—21no—
832Dic118—21no—
833Dic118—21no—
834Dic118—21no—
835Dic118—42no—
836Dic118—42no—
837Dic118—42no—
838Dic118C2×#4112yes—
839C8×C59—21no—
840C8×C59—21no—
841C8×C59—21no—
842C8×C59—21no—
843C59⋊C8—21no—
844C59⋊C8—21no—
845C59⋊C8—21no—
846C59⋊C8—21no—
847#61163—591nomaximal, Sylow
848C22×C59—21no—
849C22×C59—21no—
850C22×C59—21no—
851C22×C59—22no—
852C22×C59—21no—
853C22×C59—21no—
854C22×C59—41no—
855C22×C59—41no—
856C22×C59—41no—
857C22×C59—41no—
858C22×C59—41no—
859C22×C59—41no—
860C22×C59—41no—
861C22×C59—41no—
862C22×C59—84no—
863C22×C59—84no—
864C22×C59#57512yes—
865C22×C59C23×D411yescharacteristic
866C2×D59—21no—
867C2×D59—21no—
868C2×D59—21no—
869C2×D59—21no—
870C2×D59—21no—
871C2×D59—21no—
872C2×D59—21no—
873C2×D59—21no—
874C2×D59—44no—
875C2×D59—82no—
876C2×D59#54612yes—
877C4×C59—21no—
878C4×C59—21no—
879C4×C59—21no—
880C4×C59—21no—
881C4×C59—41no—
882C4×C59—41no—
883C4×C59—41no—
884C4×C59—41no—
885C4×C59—41no—
886C4×C59C22×#4111yescharacteristic
887C4×C59C2×H(5,𝔽2)11yescharacteristic
888Dic59—21no—
889Dic59—22no—
890Dic59—21no—
891Dic59—21no—
892Dic59—21no—
893Dic59—41no—
894Dic59—41no—
895Dic59—41no—
896Dic59—41no—
897Dic59—41no—
898Dic59—41no—
899Dic59—41no—
900Dic59#54612yes—
901C2×#552—591no—
902D4×#41—591no—
903#3327—591no—
904#3327—591no—
905#3323—591no—
906#3323—591no—
907#3317—591no—
908#3317—591no—
909#3315—591no—
910#3315—591no—
911#3312—591no—
912#3312—591no—
913#3310—591no—
914#3310D5911yescharacteristic, complemented
915#3300—591no—
916#3300—591no—
917#3296—591no—
918#3296—591no—
919#3142—591no—
920#3093—591no—
921#3092—591no—
922#3080—591no—
923#3056—591no—
924#3056—591no—
925#3037—591no—
926#3007—591no—
927#3007—591no—
928C4×#137—591no—
929D4×M16—591no—
930#2896—591no—
931C2×#417—591no—
932C2×C59—22no—
933C2×C59—41no—
934C2×C59—42no—
935C2×C59—81no—
936C2×C59—81no—
937C2×C59C2×#54611yescharacteristic
938C2×C59C2×#57511yescharacteristic
939C2×C59#358611yescharacteristic
940D59—22no—
941D59—41no—
942D59—41no—
943C22×#41—591no—
944C22×#41—591no—
945C2×#137—591no—
946C2×#137—591no—
947C2×#137—591no—
948C22×M16—591no—
949C22×M16—591no—
950#552—591no—
951#552—591no—
952#552—591no—
953#552—591no—
954#552—591no—
955#552—591no—
956#552—591no—
957#552—1181no—
958#552—1181no—
959#552—1181no—
960#552—1181no—
961#552C2×D5911yescharacteristic
962#550—591no—
963D4×Q8—591no—
964#548—591no—
965#548—591no—
966#547—591no—
967#547—1181no—
968#546—591no—
969#546—591no—
970#546—1181no—
971#546—1181no—
972D42—1181no—
973D42C2×D5911yescharacteristic
974#532—591no—
975#532—1181no—
976C2×#126—1181no—
977C2×#125—591no—
978C2×#125—1181no—
979#525—591no—
980#525—591no—
981#525—1181no—
982#525—1181no—
983C2×#123—1181no—
984C2×C22⋊Q8—591no—
985C2×C22⋊Q8—591no—
986C4×#41—591no—
987C2×C4×Q8—591no—
988C2×C4×D4—591no—
989C2×C4×D4—1181no—
990C2×#117—591no—
991C2×#117—1181no—
992C22×C4⋊C4—591no—
993#491—591no—
994#491—591no—
995#490—591no—
996#490C2×D5911yescharacteristic, complemented
997#488—591no—
998#488—591no—
999#488—591no—
1000#488—591no—
1001#485—591no—
1002#485—591no—
1003#485—591no—
1004#485—591no—
1005#484—591no—
1006#484—591no—
1007#483—591no—
1008#483—591no—
1009#482—591no—
1010#482—591no—
1011#482—591no—
1012#482C2×D5911yescharacteristic, complemented
1013#481—591no—
1014#481—591no—
1015#480—591no—
1016#480C2×D5911yescharacteristic, complemented
1017#479—591no—
1018#479—591no—
1019#479—591no—
1020#479—591no—
1021#478—591no—
1022#478—591no—
1023#478—591no—
1024#478C2×D5911yescharacteristic, complemented
1025#470—591no—
1026#470—591no—
1027#470—591no—
1028#470—591no—
1029#468—591no—
1030#468—591no—
1031#468—591no—
1032#468C2×D5911yescharacteristic, complemented
1033#467—591no—
1034#467—591no—
1035#467—591no—
1036#467—591no—
1037#465—591no—
1038#465—591no—
1039#465—591no—
1040#465C2×D5911yescharacteristic, complemented
1041#464—591no—
1042#464—591no—
1043#464—591no—
1044#464—591no—
1045#462—591no—
1046#462—591no—
1047#460—591no—
1048#460C2×D5911yescharacteristic, complemented
1049#452—591no—
1050#452—591no—
1051#452—591no—
1052#452—591no—
1053#452—591no—
1054#452—591no—
1055#452—591no—
1056#452—591no—
1057#451—591no—
1058#451—591no—
1059#451—591no—
1060#451—591no—
1061#450—591no—
1062#450—591no—
1063#450C2×D5911yescharacteristic, complemented
1064#450C2×D5911yescharacteristic, complemented
1065#441—591no—
1066#441—591no—
1067#440—591no—
1068#440C2×D5911yescharacteristic, complemented
1069C4×Q16—591no—
1070C4×Q16—591no—
1071C4×SD16—591no—
1072C4×SD16—591no—
1073#436—591no—
1074#436—591no—
1075#435—591no—
1076#435—591no—
1077#435—591no—
1078#435C2×D5911yescharacteristic
1079C8×D4—591no—
1080C8×D4—591no—
1081#428—591no—
1082#428—591no—
1083#428—591no—
1084#423—591no—
1085#419—591no—
1086#419—591no—
1087#419—591no—
1088#418—591no—
1089#418C2×D5911yescharacteristic, complemented
1090#417—591no—
1091#417—591no—
1092#417—591no—
1093#417—591no—
1094#417—591no—
1095#417—591no—
1096#417—591no—
1097#417—591no—
1098#417—591no—
1099#417—591no—
1100#417—591no—
1101#417—591no—
1102#417—591no—
1103#416—591no—
1104#416—591no—
1105#416—591no—
1106#416—591no—
1107C2×#103—591no—
1108C2×#103—591no—
1109C2×#102—591no—
1110C2×#102C2×D5911yescharacteristic, complemented
1111#407—591no—
1112#407—591no—
1113C4×M16—591no—
1114C59#6116311yescharacteristic, complemented, Sylow
1115C2×#41—591no—
1116C2×#41—591no—
1117C2×#41—591no—
1118C2×#41—591no—
1119C2×#41—591no—
1120C2×#41—591no—
1121C2×#41—591no—
1122C2×#41—1181no—
1123C2×#41—1181no—
1124C2×#41—1181no—
1125C2×#41—1181no—
1126C2×#41—1184no—
1127C2×#41—1184no—
1128C2×#41—2362no—
1129C2×#41—2362no—
1130C22×Q8—591no—
1131C22×Q8—591no—
1132C22×Q8—591no—
1133C22×D4—21no—
1134C22×D4—591no—
1135C22×D4—1181no—
1136C22×D4—1181no—
1137C22×D4C22×D5911yescharacteristic
1138C22×D4C22×D5911yescharacteristic
1139C23×C4—591no—
1140C23×C4—591no—
1141C23×C4—1181no—
1142C23×C4—1181no—
1143C23×C4—1181no—
1144#137—1184no—
1145#137—2362no—
1146#137—2362no—
1147C2×Q16—591no—
1148C2×Q16—591no—
1149C2×Q16—591no—
1150C2×Q16—591no—
1151C2×Q16—591no—
1152C2×Q16—591no—
1153C2×SD16—591no—
1154C2×SD16—591no—
1155C2×SD16—591no—
1156C2×SD16C22×D5911yescharacteristic
1157C2×SD16C22×D5911yescharacteristic
1158C2×SD16C22×D5911yescharacteristic
1159C2×M16—591no—
1160C2×M16—591no—
1161C2×M16—591no—
1162C2×M16—591no—
1163C2×M16—591no—
1164C2×M16—591no—
1165C2×M16—591no—
1166C2×M16—2362no—
1167C2×M16—2362no—
1168C2×M16C22×D5911yescharacteristic
1169C22×C8—591no—
1170C22×C8—591no—
1171C22×C8—591no—
1172C22×C8C22×D5911yescharacteristic
1173C4⋊Q8—591no—
1174C4⋊Q8—1181no—
1175#127—1181no—
1176#127C22×D5911yescharacteristic
1177#126—21no—
1178#126—1181no—
1179#126—1181no—
1180#126—1181no—
1181#126—1181no—
1182#126—1181no—
1183#126—1181no—
1184#126—1181no—
1185#125—21no—
1186#125—591no—
1187#125—591no—
1188#125—591no—
1189#125—1181no—
1190#125—1181no—
1191#125—1181no—
1192#125—1181no—
1193#125—1181no—
1194#125—1181no—
1195#125—1181no—
1196#125—1181no—
1197#125—1181no—
1198#125C22×D5911yescharacteristic
1199#124—591no—
1200#124—591no—
1201#124—1181no—
1202#124—1181no—
1203#123—21no—
1204#123—1181no—
1205#123—1181no—
1206#123—1181no—
1207#123—1181no—
1208#123—1181no—
1209#123—1181no—
1210#123—1181no—
1211#123—1181no—
1212#123—1181no—
1213#123—1181no—
1214#123—1181no—
1215#123—1181no—
1216#123—1181no—
1217C22⋊Q8—591no—
1218C22⋊Q8—591no—
1219C22⋊Q8—591no—
1220C22⋊Q8—591no—
1221C22⋊Q8—591no—
1222C22⋊Q8—591no—
1223C22⋊Q8—591no—
1224C22⋊Q8—591no—
1225C22⋊Q8—591no—
1226C22⋊Q8—591no—
1227C22⋊Q8—1181no—
1228C22⋊Q8—1181no—
1229C22⋊Q8—1181no—
1230C22⋊Q8—1181no—
1231C22⋊Q8—1181no—
1232C22⋊Q8—1181no—
1233C22⋊Q8—1181no—
1234C22⋊Q8—1181no—
1235C22⋊Q8C22×D5911yescharacteristic
1236C22⋊Q8C22×D5911yescharacteristic
1237#121—21no—
1238#121—591no—
1239#121—591no—
1240#121—1181no—
1241#121—1181no—
1242#121—1181no—
1243#121—1181no—
1244#121—1181no—
1245#121—1181no—
1246#121—1181no—
1247#121—1181no—
1248#121—1181no—
1249#121C22×D5911yescharacteristic
1250#121C22×D5911yescharacteristic
1251#120—21no—
1252#120—21no—
1253#120—1181no—
1254#120—1181no—
1255#120—1181no—
1256#120—1181no—
1257C4×Q8—591no—
1258C4×Q8—591no—
1259C4×Q8—591no—
1260C4×Q8—591no—
1261C4×Q8—591no—
1262C4×Q8—1181no—
1263C4×Q8—1181no—
1264C4×Q8C22×D5911yescharacteristic
1265C4×D4—591no—
1266C4×D4—591no—
1267C4×D4—591no—
1268C4×D4—591no—
1269C4×D4—591no—
1270C4×D4—591no—
1271C4×D4—591no—
1272C4×D4—591no—
1273C4×D4—1181no—
1274C4×D4—1181no—
1275C4×D4—1181no—
1276C4×D4—1181no—
1277C4×D4—1181no—
1278C4×D4—1181no—
1279C4×D4—1181no—
1280C4×D4—1181no—
1281C4×D4—1181no—
1282C4×D4—1181no—
1283C4×D4—1181no—
1284C4×D4—1181no—
1285C4×D4C22×D5911yescharacteristic
1286C4×D4C22×D5911yescharacteristic
1287#117—21no—
1288#117—591no—
1289#117—591no—
1290#117—591no—
1291#117—591no—
1292#117—1181no—
1293#117—1181no—
1294#117—1181no—
1295#117—1181no—
1296#117—1181no—
1297#117—1181no—
1298#117—1181no—
1299#117—1181no—
1300#117—1181no—
1301#117—1181no—
1302#117C22×D5911yescharacteristic
1303C2×C4⋊C4—591no—
1304C2×C4⋊C4—591no—
1305C2×C4⋊C4—591no—
1306C2×C4⋊C4—591no—
1307C2×C4⋊C4—591no—
1308C2×C4⋊C4—591no—
1309C2×C4⋊C4—591no—
1310C2×C4⋊C4—1181no—
1311C2×C4⋊C4—1181no—
1312C2×C4⋊C4—1181no—
1313C2×C4⋊C4—1181no—
1314C2×C4⋊C4—1181no—
1315C2×C4⋊C4—1181no—
1316C2×C4⋊C4—1181no—
1317C2×C4⋊C4—1181no—
1318C2×C4⋊C4—1181no—
1319C2×C4⋊C4C22×D5911yescharacteristic
1320C2×C22⋊C4—591no—
1321C2×C22⋊C4—591no—
1322C2×C22⋊C4—1181no—
1323C2×C22⋊C4—1181no—
1324C2×C22⋊C4—1181no—
1325C2×C22⋊C4—1181no—
1326C2×C22⋊C4—1181no—
1327C2×C42—591no—
1328C2×C42—1181no—
1329C2×C42—1181no—
1330C2×C42—1181no—
1331#107—591no—
1332#107—591no—
1333#107—591no—
1334#107—591no—
1335#107C22×D5911yescharacteristic
1336#107C22×D5911yescharacteristic
1337#106—591no—
1338#106—591no—
1339#106—591no—
1340#106—591no—
1341#106—591no—
1342#106C22×D5911yescharacteristic
1343C4⋊C8—591no—
1344C4⋊C8—591no—
1345C4⋊C8—591no—
1346C4⋊C8C22×D5911yescharacteristic
1347#103—591no—
1348#103—591no—
1349#103—591no—
1350#103—591no—
1351#103—591no—
1352#103—591no—
1353#103—591no—
1354#103—591no—
1355#103—591no—
1356#103—591no—
1357#103—591no—
1358#103—591no—
1359#103—591no—
1360#103—591no—
1361#103—591no—
1362#103—591no—
1363#103—591no—
1364#103—591no—
1365#103—591no—
1366#103—591no—
1367#103—591no—
1368#103C22×D5911yescharacteristic
1369#102—591no—
1370#102—591no—
1371#102—591no—
1372#102—591no—
1373#102—591no—
1374#102—591no—
1375#102—591no—
1376#102—591no—
1377#102—591no—
1378#102C22×D5911yescharacteristic
1379#102C22×D5911yescharacteristic
1380#102C22×D5911yescharacteristic
1381#102C22×D5911yescharacteristic
1382#102C22×D5911yescharacteristic
1383#102C22×D5911yescharacteristic
1384#102C22×D5911yescharacteristic
1385#102C22×D5911yescharacteristic
1386#102C22×D5911yescharacteristic
1387C22⋊C8—591no—
1388C22⋊C8—591no—
1389C22⋊C8—591no—
1390C22⋊C8—591no—
1391C22⋊C8—591no—
1392C22⋊C8—591no—
1393C22⋊C8C22×D5911yescharacteristic
1394C22⋊C8C22×D5911yescharacteristic
1395#97—591no—
1396#97C22×D5911yescharacteristic
1397C4×C8—591no—
1398C4×C8—591no—
1399C24—21no—
1400C24—21no—
1401C24—591no—
1402C24—591no—
1403#41—594no—
1404#41—1182no—
1405#41—1182no—
1406#41—1182no—
1407#41—1182no—
1408#41—1182no—
1409#41—1182no—
1410#41—1182no—
1411#41—1182no—
1412#41—1182no—
1413#41—2364no—
1414#41—2364no—
1415#41—2361no—
1416#41—2361no—
1417#41—2361no—
1418#41—2361no—
1419#41—2364no—
1420#41—2364no—
1421C2×Q8—591no—
1422C2×Q8—591no—
1423C2×Q8—591no—
1424C2×Q8—591no—
1425C2×Q8—1181no—
1426C2×Q8—1182no—
1427C2×Q8—1182no—
1428C2×Q8—1182no—
1429C2×Q8—1182no—
1430C2×Q8—1181no—
1431C2×Q8—1181no—
1432C2×Q8—2361no—
1433C2×Q8—2361no—
1434C2×Q8C23×D5911yescharacteristic
1435C2×D4—22no—
1436C2×D4—22no—
1437C2×D4—21no—
1438C2×D4—21no—
1439C2×D4—21no—
1440C2×D4—21no—
1441C2×D4—21no—
1442C2×D4—21no—
1443C2×D4—41no—
1444C2×D4—41no—
1445C2×D4—44no—
1446C2×D4—591no—
1447C2×D4—591no—
1448C2×D4—591no—
1449C2×D4—1181no—
1450C2×D4—1181no—
1451C2×D4—1181no—
1452C2×D4—1181no—
1453C2×D4—1181no—
1454C2×D4—1181no—
1455C2×D4—1181no—
1456C2×D4—1181no—
1457C2×D4—1181no—
1458C2×D4—2362no—
1459C2×D4—2364no—
1460C2×D4—2364no—
1461C2×D4D4×D5911yescharacteristic
1462C2×D4C23×D5911yescharacteristic
1463C2×D4C23×D5911yescharacteristic
1464C2×D4C23×D5911yescharacteristic
1465C22×C4—21no—
1466C22×C4—21no—
1467C22×C4—591no—
1468C22×C4—591no—
1469C22×C4—591no—
1470C22×C4—591no—
1471C22×C4—591no—
1472C22×C4—591no—
1473C22×C4—591no—
1474C22×C4—591no—
1475C22×C4—591no—
1476C22×C4—591no—
1477C22×C4—591no—
1478C22×C4—1182no—
1479C22×C4—1182no—
1480C22×C4—1182no—
1481C22×C4—1182no—
1482C22×C4—1181no—
1483C22×C4—1181no—
1484C22×C4—1181no—
1485C22×C4—1181no—
1486C22×C4—1181no—
1487C22×C4—1181no—
1488C22×C4—1181no—
1489C22×C4—1181no—
1490C22×C4—1181no—
1491C22×C4—1181no—
1492C22×C4—1181no—
1493C22×C4—1181no—
1494C22×C4—1181no—
1495C22×C4—1181no—
1496C22×C4—1181no—
1497C22×C4—1181no—
1498C22×C4—1181no—
1499C22×C4—2364no—
1500C22×C4—2364no—
1501C22×C4—2364no—
1502C22×C4C23×D5911yescharacteristic
1503C22×C4C23×D5911yescharacteristic
1504Q16—1182no—
1505Q16—1182no—
1506Q16—2361no—
1507Q16—2361no—
1508Q16—2361no—
1509Q16—2361no—
1510SD16—22no—
1511SD16—41no—
1512SD16—41no—
1513SD16—1182no—
1514SD16—2361no—
1515SD16—2361no—
1516M16—41no—
1517M16—1182no—
1518M16—1182no—
1519M16—1182no—
1520M16—1182no—
1521M16—2361no—
1522M16—2361no—
1523M16—2361no—
1524C2×C8—41no—
1525C2×C8—591no—
1526C2×C8—591no—
1527C2×C8—591no—
1528C2×C8—591no—
1529C2×C8—2361no—
1530C2×C8—2361no—
1531C2×C8—2361no—
1532C2×C8C23×D5911yescharacteristic
1533C2×C8C23×D5911yescharacteristic
1534C2×C8C23×D5911yescharacteristic
1535C2×C8C23×D5911yescharacteristic
1536C4⋊C4—21no—
1537C4⋊C4—21no—
1538C4⋊C4—21no—
1539C4⋊C4—21no—
1540C4⋊C4—21no—
1541C4⋊C4—21no—
1542C4⋊C4—591no—
1543C4⋊C4—591no—
1544C4⋊C4—591no—
1545C4⋊C4—591no—
1546C4⋊C4—591no—
1547C4⋊C4—591no—
1548C4⋊C4—591no—
1549C4⋊C4—1181no—
1550C4⋊C4—1181no—
1551C4⋊C4—1181no—
1552C4⋊C4—1181no—
1553C4⋊C4—1181no—
1554C4⋊C4—1181no—
1555C4⋊C4—1181no—
1556C4⋊C4—1181no—
1557C4⋊C4—1181no—
1558C4⋊C4—1181no—
1559C4⋊C4—1181no—
1560C4⋊C4—1181no—
1561C4⋊C4—1181no—
1562C4⋊C4—1181no—
1563C4⋊C4—1181no—
1564C4⋊C4—1181no—
1565C4⋊C4—1181no—
1566C4⋊C4—1181no—
1567C4⋊C4—1181no—
1568C4⋊C4—1181no—
1569C4⋊C4—1181no—
1570C4⋊C4—1181no—
1571C4⋊C4—1181no—
1572C4⋊C4—1181no—
1573C4⋊C4—1181no—
1574C4⋊C4—1181no—
1575C4⋊C4—1181no—
1576C4⋊C4—1181no—
1577C4⋊C4—1181no—
1578C4⋊C4D4×D5911yescharacteristic
1579C4⋊C4C23×D5911yescharacteristic
1580C4⋊C4C23×D5911yescharacteristic
1581C4⋊C4C23×D5911yescharacteristic
1582C4⋊C4C23×D5911yescharacteristic
1583C22⋊C4—21no—
1584C22⋊C4—21no—
1585C22⋊C4—21no—
1586C22⋊C4—21no—
1587C22⋊C4—21no—
1588C22⋊C4—21no—
1589C22⋊C4—591no—
1590C22⋊C4—591no—
1591C22⋊C4—591no—
1592C22⋊C4—591no—
1593C22⋊C4—591no—
1594C22⋊C4—591no—
1595C22⋊C4—1181no—
1596C22⋊C4—1181no—
1597C22⋊C4—1181no—
1598C22⋊C4—1181no—
1599C22⋊C4—1181no—
1600C22⋊C4—1181no—
1601C22⋊C4—1181no—
1602C22⋊C4—1181no—
1603C22⋊C4—1181no—
1604C22⋊C4—1181no—
1605C22⋊C4—1181no—
1606C22⋊C4—1181no—
1607C22⋊C4—1181no—
1608C22⋊C4—1181no—
1609C22⋊C4—1181no—
1610C22⋊C4—1181no—
1611C22⋊C4—1181no—
1612C22⋊C4—1181no—
1613C22⋊C4—1181no—
1614C22⋊C4—1181no—
1615C22⋊C4—1181no—
1616C22⋊C4D4×D5911yescharacteristic
1617C22⋊C4D4×D5911yescharacteristic
1618C42—21no—
1619C42—21no—
1620C42—591no—
1621C42—591no—
1622C42—591no—
1623C42—1181no—
1624C42—1181no—
1625C42—1181no—
1626C42—1181no—
1627C42—1181no—
1628C42—1181no—
1629C42—1181no—
1630C42—1181no—
1631C42—1181no—
1632C42C23×D5911yescharacteristic
1633C23—21no—
1634C23—21no—
1635C23—21no—
1636C23—42no—
1637C23—42no—
1638C23—42no—
1639C23—42no—
1640C23—81no—
1641C23—81no—
1642C23—591no—
1643C23—591no—
1644C23—591no—
1645C23—1182no—
1646C23—1182no—
1647C23—1182no—
1648C23—2361no—
1649C23—2361no—
1650C23—2361no—
1651C23C2×D4×D5911yescharacteristic
1652C23C2×D4×D5911yescharacteristic
1653Q8—21no—
1654Q8—21no—
1655Q8—592no—
1656Q8—1181no—
1657Q8—1181no—
1658Q8—1181no—
1659Q8—1181no—
1660Q8—1181no—
1661Q8—1181no—
1662Q8—1181no—
1663Q8—2362no—
1664Q8—2362no—
1665Q8—2362no—
1666D4—22no—
1667D4—21no—
1668D4—21no—
1669D4—21no—
1670D4—21no—
1671D4—21no—
1672D4—42no—
1673D4—42no—
1674D4—42no—
1675D4—42no—
1676D4—42no—
1677D4—81no—
1678D4—1184no—
1679D4—1182no—
1680D4—4721no—
1681D4—4721no—
1682D4—2361no—
1683D4—2361no—
1684D4—2362no—
1685D4—2362no—
1686D4—2362no—
1687D4—2362no—
1688D4—2362no—
1689D4—2362no—
1690D4#41×D5912yes—
1691C2×C4—21no—
1692C2×C4—21no—
1693C2×C4—21no—
1694C2×C4—21no—
1695C2×C4—21no—
1696C2×C4—21no—
1697C2×C4—21no—
1698C2×C4—21no—
1699C2×C4—21no—
1700C2×C4—42no—
1701C2×C4—42no—
1702C2×C4—591no—
1703C2×C4—592no—
1704C2×C4—592no—
1705C2×C4—591no—
1706C2×C4—591no—
1707C2×C4—591no—
1708C2×C4—591no—
1709C2×C4—1182no—
1710C2×C4—1182no—
1711C2×C4—1182no—
1712C2×C4—1182no—
1713C2×C4—1182no—
1714C2×C4—1182no—
1715C2×C4—1184no—
1716C2×C4—1181no—
1717C2×C4—1181no—
1718C2×C4—1181no—
1719C2×C4—1181no—
1720C2×C4—1181no—
1721C2×C4—1181no—
1722C2×C4—1181no—
1723C2×C4—1181no—
1724C2×C4—1181no—
1725C2×C4—1181no—
1726C2×C4—1181no—
1727C2×C4—1181no—
1728C2×C4—4721no—
1729C2×C4—2361no—
1730C2×C4—2361no—
1731C2×C4—2362no—
1732C2×C4—2362no—
1733C2×C4—2362no—
1734C2×C4—2362no—
1735C2×C4—2362no—
1736C2×C4—2362no—
1737C2×C4—2362no—
1738C2×C4—2362no—
1739C2×C4—2362no—
1740C2×C4—2362no—
1741C2×C4—2362no—
1742C2×C4—2362no—
1743C2×C4—2362no—
1744C2×C4—2362no—
1745C2×C4—2362no—
1746C2×C4C2×D4×D5911yescharacteristic
1747C2×C4C2×D4×D5911yescharacteristic
1748C2×C4C2×D4×D5911yescharacteristic
1749C2×C4C2×D4×D5911yescharacteristic
1750C2×C4C24×D5911yescharacteristic
1751C8—21no—
1752C8—21no—
1753C8—21no—
1754C8—21no—
1755C8—1181no—
1756C8—1181no—
1757C8—1181no—
1758C8—1181no—
1759C22—21no—
1760C22—21no—
1761C22—21no—
1762C22—22no—
1763C22—21no—
1764C22—21no—
1765C22—41no—
1766C22—41no—
1767C22—41no—
1768C22—41no—
1769C22—41no—
1770C22—41no—
1771C22—41no—
1772C22—41no—
1773C22—84no—
1774C22—84no—
1775C22—592no—
1776C22—1181no—
1777C22—1181no—
1778C22—1181no—
1779C22—1181no—
1780C22—1181no—
1781C22—1181no—
1782C22—1181no—
1783C22—1181no—
1784C22—4722no—
1785C22—2364no—
1786C22#1683819812yes—
1787C22C22×D4×D5911yescharacteristic
1788C4—21no—
1789C4—21no—
1790C4—21no—
1791C4—21no—
1792C4—41no—
1793C4—41no—
1794C4—41no—
1795C4—41no—
1796C4—41no—
1797C4—592no—
1798C4—1181no—
1799C4—1181no—
1800C4—1182no—
1801C4—1181no—
1802C4—1181no—
1803C4—2361no—
1804C4—2361no—
1805C4—2361no—
1806C4—2361no—
1807C4—2361no—
1808C4—2361no—
1809C4—2361no—
1810C4C2×#41×D5911yescharacteristic
1811C4H(5,𝔽2)×D5911yescharacteristic
1812C2—22no—
1813C2—41no—
1814C2—42no—
1815C2—81no—
1816C2—81no—
1817C2—1182no—
1818C2—2361no—
1819C2—2361no—
1820C2#546×D5911yescharacteristic
1821C2C2×#1683819811yescharacteristic
1822C2#2143887811yescharacteristic
subgroupG/H
centerC22C22×D4×D59
commutator, cosocleC2×C4×C59C25
FrattiniC2×C4C24×D59
FittingC59×#3310C2
socleC22×C59C23×D4
prime radicalD4×#11745687C2
hypercenter#3310D59
hypocenterC59#61163
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. #552×D59C2semidirect
3. #21436370C2semidirect
4. #21436362C2semidirect
5. #21436316C2semidirect
6. #21436308C2semidirect
7. #21436229C2semidirect
8. #21436221C2semidirect
9. #21436197C2semidirect
10. #21436189C2semidirect
11. #21436149C2semidirect
12. #21436141C2semidirect
13. #21436117C2semidirect
14. #21435989C2semidirect
15. #21435981C2semidirect
16. #21435935C2semidirect
17. #21435927C2semidirect
18. #21434495C2semidirect
19. #21434024C2semidirect
20. #21434015C2semidirect
21. #21433913C2semidirect
22. #21433721C2semidirect
23. #21433719C2semidirect
24. #21433563C2semidirect
25. #21433351C2semidirect
26. #21433351C2semidirect
27. #21432918C2semidirect
28. #21432829C2semidirect
29. #21432610C2semidirect
30. C2×#16837400C2semidirect
31. C59×#3310C2semidirect
35. C2×#14273756C22semidirect
36. C2×#14273756C22semidirect
37. C22×#11745659C22semidirect
38. C2×M16×D59C22semidirect
39. #16838094C22semidirect
40. #16838093C22semidirect
42. #16838091C22semidirect
43. #16838090C22semidirect
46. #16838087C22semidirect
47. #16838086C22semidirect
65. #125×D59C22semidirect
71. C22⋊Q8×D59C22semidirect
72. C22⋊Q8×D59C22semidirect
74. C4×Q8×D59C22semidirect
78. #117×D59C22semidirect
79. C2×C4⋊C4×D59C22semidirect
80. #16837772C22semidirect
81. #16837771C22semidirect
82. #16837766C22semidirect
83. #16837755C22semidirect
84. #16837755C22semidirect
85. #16837755C22semidirect
86. #16837755C22semidirect
87. #16837746C22semidirect
88. #16837745C22semidirect
89. #16837744C22semidirect
90. #16837743C22semidirect
91. #16837739C22semidirect
92. #16837739C22semidirect
93. #16837733C22semidirect
94. #16837732C22semidirect
95. #16837725C22semidirect
96. #16837724C22semidirect
97. #16837723C22semidirect
98. #16837719C22semidirect
99. #16837719C22semidirect
100. #16837713C22semidirect
101. #16837712C22semidirect
102. #16837710C22semidirect
103. #16837708C22semidirect
104. #16837706C22semidirect
105. #16837704C22semidirect
106. #16837702C22semidirect
107. #16837700C22semidirect
108. #16837661C22semidirect
109. #16837660C22semidirect
110. #16837659C22semidirect
111. #16837658C22semidirect
112. #16837647C22semidirect
113. #16837646C22semidirect
114. #16837645C22semidirect
115. #16837644C22semidirect
116. #16837643C22semidirect
117. #16837642C22semidirect
118. #16837641C22semidirect
119. #16837630C22semidirect
120. #16837629C22semidirect
121. #16837628C22semidirect
122. #16837623C22semidirect
123. #16837623C22semidirect
124. #16837622C22semidirect
125. #16837622C22semidirect
126. #16837613C22semidirect
127. #16837612C22semidirect
128. #16837599C22semidirect
129. #16837565C22semidirect
130. #16837565C22semidirect
131. #16837565C22semidirect
132. #16837565C22semidirect
133. #16837561C22semidirect
134. #16837561C22semidirect
135. #16837561C22semidirect
136. #16837561C22semidirect
137. #16837560C22semidirect
138. #16837560C22semidirect
139. #16837557C22semidirect
140. #16837557C22semidirect
141. #16837553C22semidirect
142. #16837553C22semidirect
143. #16837510C22semidirect
144. #16837507C22semidirect
145. #16837502C22semidirect
146. #16837496C22semidirect
147. #16837494C22semidirect
148. #16837493C22semidirect
149. SD16×Dic59C22semidirect
150. #16837478C22semidirect
151. #16837477C22semidirect
152. #16837475C22semidirect
154. #16837472C22semidirect
155. C8×C22⋊D59C22semidirect
156. (C22⋊D59)⋊C8C22semidirect
157. #16837443C22semidirect
158. #16837443C22semidirect
159. #16837441C22semidirect
160. #16837424C22semidirect
161. #16837412C22semidirect
162. #16837410C22semidirect
163. #16837409C22semidirect
164. #16837407C22semidirect
168. #16837400C22semidirect
169. #16837400C22semidirect
170. #16837400C22semidirect
171. #16837400C22semidirect
172. #16837400C22semidirect
173. #16837400C22semidirect
174. #16837400C22semidirect
175. #16837400C22semidirect
176. #16837400C22semidirect
177. #16837400C22semidirect
178. #16837395C22semidirect
179. #16837395C22semidirect
180. #16837395C22semidirect
181. #16837395C22semidirect
182. C2×#14273652C22semidirect
183. C2×#14273650C22semidirect
184. C2×#14273648C22semidirect
185. #16837364C22semidirect
186. #16837364C22semidirect
187. #16837354C22semidirect
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
201. C59×#418C22semidirect
202. C2×#102×C59C22semidirect
914. #3310D59semidirect
996. #490C2×D59semidirect
1012. #482C2×D59semidirect
1016. #480C2×D59semidirect
1024. #478C2×D59semidirect
1032. #468C2×D59semidirect
1040. #465C2×D59semidirect
1048. #460C2×D59semidirect
1063. #450C2×D59semidirect
1064. #450C2×D59semidirect
1068. #440C2×D59semidirect
1089. #418C2×D59semidirect
1110. C2×#102C2×D59semidirect
1114. C59#61163semidirect

Maximal subgroups

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

subgroupindex
#552×D592
D4×#117456872
#214363702
#214363622
#214363162
#214363082
#214362292
#214362212
#214361972
#214361892
#214361492
#214361412
#214361172
#214359892
#214359812
#214359352
#214359272
#214344952
#214340242
#214340152
#214339132
#214337212
#214337192
#214335632
#214333512
#214329182
#214328292
#214326102
C2×#168374002
C59×#33102
#6116359