Finite Group Databasebeta

← #29485889

Subgroups — #29485889

Order 15104.

1716 conjugacy classes of subgroups.

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

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21438742C211yesmaximal, characteristic, complemented
2#21438021C211yesmaximal, characteristic, complemented
3#21437055C211yesmaximal, characteristic, complemented
4#21436966C211yesmaximal, characteristic, complemented
5#21436859C211yesmaximal, characteristic, complemented
6#21436760C211yesmaximal, characteristic, complemented
7#21436686C211yesmaximal, characteristic, complemented
8#21436660C211yesmaximal, characteristic, complemented
9#21436650C211yesmaximal, characteristic, complemented
10#21436628C211yesmaximal, characteristic, complemented
11#21436529C211yesmaximal, characteristic, complemented
12#21436493C211yesmaximal, characteristic, complemented
13#21436327C211yesmaximal, characteristic, complemented
14#21436308C211yesmaximal, characteristic, complemented
15#21436301C211yesmaximal, characteristic, complemented
16#21436245C211yesmaximal, characteristic, complemented
17#21435927C211yesmaximal, characteristic, complemented
18#21435551C211yesmaximal, characteristic, complemented
19#21435503C211yesmaximal, characteristic, complemented
20#21435491C211yesmaximal, characteristic, complemented
21#21435390C211yesmaximal, characteristic, complemented
22#21435344C211yesmaximal, characteristic, complemented
23#21435272C211yesmaximal, characteristic, complemented
24#21434377C211yesmaximal, characteristic, complemented
25#21434273C211yesmaximal, characteristic, complemented
26#21434138C211yesmaximal, characteristic, complemented
27#21433948C211yesmaximal, characteristic, complemented
28#21433923C211yesmaximal, characteristic, complemented
29#21433890C211yesmaximal, characteristic, complemented
30#21433238C211yesmaximal, characteristic, complemented
31C59×#3318C211yesmaximal, characteristic, complemented
32#16838155—21no—
33#16838147—21no—
34#16838138C2211yescharacteristic
35#16838129C2211yescharacteristic, complemented
36#16838122C2211yescharacteristic
37#16838119—21no—
38#16838116C2211yescharacteristic, complemented
39#16838111C2211yescharacteristic
40#16838109C2211yescharacteristic, complemented
41#16838099C2211yescharacteristic
42#16838099C2211yescharacteristic, complemented
43#16838095—21no—
44#16838092—21no—
45#16838092C2211yescharacteristic
46#16838091C2211yescharacteristic, complemented
47#16838087C2211yescharacteristic, complemented
48#16838083—21no—
49#16838083—21no—
50#16838052C2211yescharacteristic
51#16838046—21no—
52#16838046C2211yescharacteristic
53#16838046C2211yescharacteristic
54#16838033C2211yescharacteristic, complemented
55#16838032C2211yescharacteristic, complemented
56#16838019—21no—
57#16838019C2211yescharacteristic
58#16838019C2211yescharacteristic, complemented
59#16838017—21no—
60#16838017C2211yescharacteristic, complemented
61#16838009—21no—
62#16838006C2211yescharacteristic
63#16837997—21no—
64#16837996—21no—
65#16837987—21no—
66#16837955C2211yescharacteristic, complemented
67#16837933C2211yescharacteristic
68#16837933C2211yescharacteristic, complemented
69#16837932C2211yescharacteristic
70#16837908—21no—
71C2×#14273708—21no—
72#16837881C2211yescharacteristic
73#16837877C2211yescharacteristic
74C2×D4×Dic59C2211yescharacteristic
75#16837811C2211yescharacteristic, complemented
76#16837809C2211yescharacteristic, complemented
77#16837803C2211yescharacteristic, complemented
78#16837802C2211yescharacteristic, complemented
79#16837801C2211yescharacteristic, complemented
80#16837799C2211yescharacteristic, complemented
81#16837760C2211yescharacteristic, complemented
82#16837755C2211yescharacteristic, complemented
83#16837755C2211yescharacteristic, complemented
84#16837755C2211yescharacteristic, complemented
85#16837748C2211yescharacteristic
86#16837744C2211yescharacteristic, complemented
87#16837744C2211yescharacteristic, complemented
88#16837744C2211yescharacteristic, complemented
89#16837743C2211yescharacteristic, complemented
90#16837738C2211yescharacteristic, complemented
91#16837734C2211yescharacteristic, complemented
92#16837732C2211yescharacteristic, complemented
93#16837725C2211yescharacteristic, complemented
94#16837724C2211yescharacteristic, complemented
95#16837723C2211yescharacteristic
96#16837723C2211yescharacteristic
97#16837723C2211yescharacteristic, complemented
98#16837719C2211yescharacteristic, complemented
99#16837719C2211yescharacteristic, complemented
100#16837718C2211yescharacteristic, complemented
101#16837714C2211yescharacteristic, complemented
102#16837712C2211yescharacteristic, complemented
103#16837712C2211yescharacteristic, complemented
104#16837710C2211yescharacteristic, complemented
105#16837706C2211yescharacteristic, complemented
106#16837704C2211yescharacteristic
107#16837704C2211yescharacteristic
108#16837704C2211yescharacteristic, complemented
109#16837704C2211yescharacteristic, complemented
110#16837704C2211yescharacteristic, complemented
111#16837702C2211yescharacteristic, complemented
112#16837700C2211yescharacteristic
113#16837700C2211yescharacteristic
114#16837700C2211yescharacteristic, complemented
115#16837700C2211yescharacteristic, complemented
116#16837700C2211yescharacteristic, complemented
117#16837698C2211yescharacteristic, complemented
118#16837696C2211yescharacteristic, complemented
119#16837696C2211yescharacteristic, complemented
120#16837690C2211yescharacteristic
121#16837690C2211yescharacteristic, complemented
122#16837690C2211yescharacteristic, complemented
123#16837690C2211yescharacteristic, complemented
124#16837686C2211yescharacteristic, complemented
125#16837682C2211yescharacteristic
126#16837680C2211yescharacteristic
127#16837680C2211yescharacteristic
128#16837680C2211yescharacteristic, complemented
129#16837680C2211yescharacteristic, complemented
130#16837680C2211yescharacteristic, complemented
131#16837660C2211yescharacteristic, complemented
132#16837652C2211yescharacteristic, complemented
133#16837647C2211yescharacteristic, complemented
134#16837646C2211yescharacteristic
135#16837646C2211yescharacteristic
136#16837646C2211yescharacteristic, complemented
137#16837646C2211yescharacteristic, complemented
138#16837643C2211yescharacteristic, complemented
139#16837635C2211yescharacteristic, complemented
140#16837630C2211yescharacteristic, complemented
141#16837623C2211yescharacteristic, complemented
142#16837623C2211yescharacteristic, complemented
143#16837623C2211yescharacteristic, complemented
144#16837615C2211yescharacteristic
145#16837615C2211yescharacteristic, complemented
146#16837615C2211yescharacteristic, complemented
147#16837615C2211yescharacteristic, complemented
148#16837615C2211yescharacteristic, complemented
149#16837599C2211yescharacteristic
150#16837565C2211yescharacteristic
151#16837553C2211yescharacteristic
152#16837553C2211yescharacteristic
153#16837544C2211yescharacteristic
154#16837530C2211yescharacteristic, complemented
155#16837526C2211yescharacteristic, complemented
156#16837514C2211yescharacteristic
157#16837510C2211yescharacteristic, complemented
158#16837499C2211yescharacteristic, complemented
159#16837493C2211yescharacteristic
160#16837493C2211yescharacteristic
161#16837493C2211yescharacteristic, complemented
162C4×#11745670C2211yescharacteristic
163C4×#11745670C2211yescharacteristic, complemented
164D8×Dic59C2211yescharacteristic
165D8×Dic59C2211yescharacteristic, complemented
166D8×Dic59C2211yescharacteristic, complemented
167#16837480C2211yescharacteristic
168#16837478C2211yescharacteristic, complemented
169#16837477C2211yescharacteristic, complemented
170#16837476C2211yescharacteristic, complemented
171C8×C22⋊D59C2211yescharacteristic, complemented
172#16837464C2211yescharacteristic, complemented
173#16837460C2211yescharacteristic, complemented
174#16837452C2211yescharacteristic, complemented
175#16837445C2211yescharacteristic, complemented
176#16837444C2211yescharacteristic, complemented
177#16837442C2211yescharacteristic, complemented
178#16837441C2211yescharacteristic, complemented
179#16837440C2211yescharacteristic, complemented
180#107×D59C2211yescharacteristic, complemented
181#16837428C2211yescharacteristic, complemented
182#16837427C2211yescharacteristic, complemented
183#16837425C2211yescharacteristic, complemented
184#16837407C2211yescharacteristic
185#16837407C2211yescharacteristic
186#16837400C2211yescharacteristic
187#16837395C2211yescharacteristic
188C59×#553C2211yescharacteristic
189D42×C59C2211yescharacteristic
190C59×#490C2211yescharacteristic
191C59×#482C2211yescharacteristic
192C59×#481C2211yescharacteristic
193C59×#478C2211yescharacteristic
194C59×#469C2211yescharacteristic
195C59×#466C2211yescharacteristic
196C59×#459C2211yescharacteristic
197C59×#447C2211yescharacteristic
198C59×#447C2211yescharacteristic
199C59×#442C2211yescharacteristic
200C59×#435C2211yescharacteristic
201C59×#418C2211yescharacteristic
202C2×#102×C59C2211yescharacteristic
203C2×#11745687—21no—
204C2×#11745687C2311yescharacteristic
205C23×Dic59—21no—
206C2×Dic236C2311yescharacteristic
207C2×#11745670C2311yescharacteristic
208C2×#11745670C2311yescharacteristic
209C2×#11745670C2311yescharacteristic
210C2×#11745670C2311yescharacteristic
211C2×#11745664C2311yescharacteristic
212C2×#11745664C2311yescharacteristic
213C2×#11745659C2311yescharacteristic
214C2×C8×D59C2311yescharacteristic
215#14273727C2311yescharacteristic
216#14273726—21no—
217#14273726—21no—
218#14273726—21no—
219#14273726C2311yescharacteristic
220#14273726C2311yescharacteristic
221#14273726C2311yescharacteristic
222#14273726C2311yescharacteristic
223#14273722—21no—
224#14273722D411yescharacteristic
225#14273720—21no—
226#14273720—21no—
227#14273720—21no—
228#14273720—21no—
229#14273720—21no—
230#14273720—21no—
231#14273720—21no—
232#14273720—21no—
233#14273720—21no—
234#14273720—21no—
235#14273720—21no—
236#14273720D411yescharacteristic
237#14273719—21no—
238#14273719C2311yescharacteristic
239#14273718—21no—
240#14273718C2311yescharacteristic
241#14273718C2311yescharacteristic
242#14273718C2311yescharacteristic
243#14273718C2311yescharacteristic
244#14273718C2311yescharacteristic
245#14273717—21no—
246#14273717—21no—
247#14273717—21no—
248#14273717—21no—
249#14273717—21no—
250#14273717D411yescharacteristic
251#14273714—21no—
252#14273714—21no—
253#14273714—21no—
254#14273714—21no—
255#14273714—21no—
256#14273714C2311yescharacteristic
257#14273714C2311yescharacteristic
258#14273714C2311yescharacteristic
259#14273713—21no—
260#14273713—21no—
261#14273713D411yescharacteristic
262#14273711D411yescharacteristic
263#14273710—21no—
264#14273710—21no—
265#14273709—21no—
266#14273709—21no—
267#14273708—21no—
268#14273708—21no—
269#14273708—21no—
270#14273708—21no—
271#14273708—21no—
272#14273708—21no—
273#14273708—21no—
274#14273708—21no—
275#14273708—21no—
276#14273708—21no—
277#14273708—21no—
278#14273708—21no—
279#14273708—21no—
280#14273708—21no—
281#14273708D411yescharacteristic
282#14273707—21no—
283#14273707C2311yescharacteristic
284#14273706—21no—
285#14273706—21no—
286#14273706—21no—
287#14273706—21no—
288#14273706—21no—
289#14273706C2311yescharacteristic
290#14273706C2311yescharacteristic
291#14273706C2311yescharacteristic
292#14273706C2311yescharacteristic
293#14273705—21no—
294#14273704—21no—
295#14273704—21no—
296#14273704—21no—
297#14273704—21no—
298#14273704—21no—
299#14273704—21no—
300#14273704—21no—
301#14273704—21no—
302#14273704—21no—
303#14273704D411yescharacteristic
304#14273699—21no—
305#14273699—21no—
306#14273699—21no—
307#14273699—21no—
308#14273699—21no—
309#14273699D411yescharacteristic
310#14273698—21no—
311#14273698—21no—
312#14273698C2311yescharacteristic
313#14273698C2311yescharacteristic
314#14273698C2311yescharacteristic
315#14273696—21no—
316#14273696—21no—
317C4×Dic118—21no—
318C4×Dic118—21no—
319C4×Dic118C2311yescharacteristic
320C4×Dic118C2311yescharacteristic
321C4×Dic118C2311yescharacteristic
322#14273692—21no—
323#14273692—21no—
324#14273692C2311yescharacteristic
325#14273692C2311yescharacteristic
326#14273692C2311yescharacteristic
327D4×Dic59—21no—
328D4×Dic59—21no—
329D4×Dic59—21no—
330D4×Dic59—21no—
331D4×Dic59—21no—
332D4×Dic59—21no—
333D4×Dic59—21no—
334D4×Dic59C2311yescharacteristic
335D4×Dic59C2311yescharacteristic
336D4×Dic59C2311yescharacteristic
337D4×Dic59C2311yescharacteristic
338D4×Dic59C2311yescharacteristic
339D4×Dic59C2311yescharacteristic
340D4×Dic59C2311yescharacteristic
341D4×Dic59C2311yescharacteristic
342D4×Dic59C2311yescharacteristic
343C4×C22⋊D59—21no—
344C4×C22⋊D59C2311yescharacteristic
345C4×C22⋊D59C2311yescharacteristic
346(C22⋊D59)⋊C4—21no—
347(C22⋊D59)⋊C4—21no—
348(C22⋊D59)⋊C4—21no—
349#14273686—21no—
350#14273686C2311yescharacteristic
351#14273686C2311yescharacteristic
352#14273686C2311yescharacteristic
353#14273686C2311yescharacteristic
354#14273685C2311yescharacteristic
355#14273684—21no—
356#14273684C2311yescharacteristic
357#14273683—21no—
358#14273683—21no—
359#14273683—21no—
360#14273683—21no—
361#14273683—21no—
362C2×C4⋊Dic59—21no—
363C2×C4⋊Dic59C2311yescharacteristic
364C2×Dic59⋊C4—21no—
365C2×Dic59⋊C4—21no—
366C4⋊C4×D59C2311yescharacteristic
367C4⋊C4×D59C2311yescharacteristic
368C2×C22⋊Dic59—21no—
369C2×C22⋊Dic59—21no—
370C2×C22⋊Dic59—21no—
371C2×C22⋊Dic59—21no—
372C2×C22⋊Dic59—21no—
373C2×C4×Dic59C2311yescharacteristic
374#14273661C2311yescharacteristic
375#14273661C2311yescharacteristic
376#14273661C2311yescharacteristic
377#14273661C2311yescharacteristic
378#14273661C2311yescharacteristic
379#14273660C2311yescharacteristic
380#14273660C2311yescharacteristic
381#14273660C2311yescharacteristic
382#14273660C2311yescharacteristic
383#14273660C2311yescharacteristic
384#14273660C2311yescharacteristic
385#14273659C2311yescharacteristic
386#14273659C2311yescharacteristic
387#14273659C2311yescharacteristic
388#14273659C2311yescharacteristic
389#14273658C2311yescharacteristic
390#14273658C2311yescharacteristic
391#14273658C2311yescharacteristic
392#14273658C2311yescharacteristic
393#14273658C2311yescharacteristic
394#14273658C2311yescharacteristic
395C4⋊(C59⋊C8)C2311yescharacteristic
396Dic59⋊C8C2311yescharacteristic
397Dic59⋊C8C2311yescharacteristic
398Dic59⋊C8C2311yescharacteristic
399Dic59⋊C8C2311yescharacteristic
400Dic59⋊C8C2311yescharacteristic
401Dic59⋊C8C2311yescharacteristic
402Dic59⋊C8C2311yescharacteristic
403Dic59⋊C8C2311yescharacteristic
404#14273652C2311yescharacteristic
405#14273652C2311yescharacteristic
406#14273652C2311yescharacteristic
407#14273652C2311yescharacteristic
408#14273652C2311yescharacteristic
409#14273652C2311yescharacteristic
410#14273650C2311yescharacteristic
411#14273650C2311yescharacteristic
412#14273650C2311yescharacteristic
413#14273650C2311yescharacteristic
414#14273648C2311yescharacteristic
415#14273648C2311yescharacteristic
416#14273648C2311yescharacteristic
417#14273648C2311yescharacteristic
418#14273648C2311yescharacteristic
419#14273648C2311yescharacteristic
420#14273648C2311yescharacteristic
421#14273648C2311yescharacteristic
422#14273648C2311yescharacteristic
423#14273648C2311yescharacteristic
424#14273648C2311yescharacteristic
425#14273648C2311yescharacteristic
426C22⋊(C59⋊C8)C2311yescharacteristic
427C22⋊(C59⋊C8)C2311yescharacteristic
428(C2×D59)⋊C8C2311yescharacteristic
429(C2×D59)⋊C8C2311yescharacteristic
430#14273637C2311yescharacteristic
431C4×C59⋊C8C2311yescharacteristic
432C8×Dic59C2311yescharacteristic
433C8×Dic59C2311yescharacteristic
434C8×Dic59C2311yescharacteristic
435C22×D4×C59—21no—
436C22×D4×C59C2311yescharacteristic
437C22×D4×C59C2311yescharacteristic
438C2×D8×C59C2311yescharacteristic
439C2×D8×C59C2311yescharacteristic
440C2×D8×C59C2311yescharacteristic
441C2×M16×C59C2311yescharacteristic
442C22×C8×C59C2311yescharacteristic
443#127×C59C2311yescharacteristic
444#126×C59—21no—
445#125×C59C2311yescharacteristic
446#123×C59—21no—
447#121×C59—21no—
448#121×C59—21no—
449#121×C59C2311yescharacteristic
450#121×C59C2311yescharacteristic
451#121×C59C2311yescharacteristic
452#121×C59C2311yescharacteristic
453#120×C59—21no—
454#120×C59—21no—
455C4×D4×C59—21no—
456C4×D4×C59C2311yescharacteristic
457C4×D4×C59C2311yescharacteristic
458C4×D4×C59C2311yescharacteristic
459#117×C59C2311yescharacteristic
460C2×C4⋊C4×C59C2311yescharacteristic
461#107×C59C2311yescharacteristic
462#106×C59C2311yescharacteristic
463#106×C59C2311yescharacteristic
464C4⋊C8×C59C2311yescharacteristic
465#102×C59C2311yescharacteristic
466#102×C59C2311yescharacteristic
467#102×C59C2311yescharacteristic
468#102×C59C2311yescharacteristic
469#102×C59C2311yescharacteristic
470#102×C59C2311yescharacteristic
471#102×C59C2311yescharacteristic
472#102×C59C2311yescharacteristic
473#102×C59C2311yescharacteristic
474#102×C59C2311yescharacteristic
475C22⋊C8×C59C2311yescharacteristic
476C22⋊C8×C59C2311yescharacteristic
477#97×C59C2311yescharacteristic
478C24×C59—21no—
479C24×C59—21no—
480C2×D4×C59—22no—
481C2×D4×C59—22no—
482C2×D4×C59—21no—
483C2×D4×C59—21no—
484C2×D4×C59—21no—
485C2×D4×C59—21no—
486C2×D4×C59—21no—
487C2×D4×C59—21no—
488C2×D4×C59—21no—
489C2×D4×C59—21no—
490C2×D4×C59—41no—
491C2×D4×C59—41no—
492C2×D4×C59—82no—
493C2×D4×C59C2×D411yescharacteristic
494C2×D4×C59C2411yescharacteristic
495C2×D4×C59C2411yescharacteristic
496C2×D4×C59C2411yescharacteristic
497C2×D4×C59C2411yescharacteristic
498C22×C4×C59—21no—
499C22×C4×C59—21no—
500C22×C4×C59—21no—
501C22×C4×C59C2411yescharacteristic
502C22×C4×C59C2411yescharacteristic
503C2×C22⋊D59—21no—
504C2×C22⋊D59—21no—
505C2×C22⋊D59—21no—
506C2×C22⋊D59—21no—
507C2×C22⋊D59C2×D411yescharacteristic
508C2×C22⋊D59C2×D411yescharacteristic
509C22×Dic59—21no—
510C22×Dic59—21no—
511C22×Dic59—21no—
512C22×Dic59—21no—
513C22×Dic59—21no—
514C22×Dic59—21no—
515C22×Dic59—21no—
516C22×Dic59—21no—
517C22×Dic59—21no—
518C22×Dic59—21no—
519C22×Dic59—21no—
520C22×Dic59—82no—
521C22×Dic59C2×D411yescharacteristic
522C22×Dic59C2×D411yescharacteristic
523#11745687—22no—
524#11745687—41no—
525#11745687—82no—
526C2×C4×D59—21no—
527C2×C4×D59—21no—
528C2×C4×D59C2411yescharacteristic
529C2×Dic118—21no—
530C2×Dic118—21no—
531C2×Dic118—21no—
532C2×Dic118—21no—
533C2×Dic118—21no—
534C2×Dic118C2×D411yescharacteristic
535C2×Dic118C2411yescharacteristic
536C2×Dic118C2411yescharacteristic
537D8×C59—22no—
538D8×C59—41no—
539D8×C59—41no—
540M16×C59—41no—
541C2×C8×C59—41no—
542C2×C8×C59C2411yescharacteristic
543C2×C8×C59C2411yescharacteristic
544C2×C8×C59C2411yescharacteristic
545C2×C8×C59C2411yescharacteristic
546C4⋊C4×C59—21no—
547C4⋊C4×C59—21no—
548C4⋊C4×C59—21no—
549C4⋊C4×C59C2×D411yescharacteristic
550C4⋊C4×C59C2411yescharacteristic
551C4⋊C4×C59C2411yescharacteristic
552C4⋊C4×C59C2411yescharacteristic
553C4⋊C4×C59C2411yescharacteristic
554C22⋊C4×C59—21no—
555C22⋊C4×C59—21no—
556C22⋊C4×C59—21no—
557C22⋊C4×C59—21no—
558C22⋊C4×C59—21no—
559C22⋊C4×C59—21no—
560C22⋊C4×C59—21no—
561C22⋊C4×C59C2×D411yescharacteristic
562C22⋊C4×C59C2×D411yescharacteristic
563C42×C59—21no—
564C42×C59C2411yescharacteristic
565C22⋊Dic59—21no—
566C22⋊Dic59—21no—
567C22⋊Dic59—21no—
568C22⋊Dic59—21no—
569C22⋊Dic59—21no—
570C22⋊Dic59—21no—
571C22⋊Dic59—21no—
572C22⋊Dic59—21no—
573C22⋊Dic59—21no—
574C22⋊Dic59—21no—
575C22⋊Dic59—21no—
576C22⋊Dic59—21no—
577C22⋊Dic59—21no—
578C22⋊Dic59—21no—
579C22⋊Dic59—21no—
580C22⋊Dic59—21no—
581C22⋊Dic59—21no—
582C22⋊Dic59—21no—
583C22⋊Dic59—21no—
584C22⋊Dic59—21no—
585C22⋊Dic59—21no—
586C22⋊Dic59—21no—
587C22⋊Dic59—21no—
588C22⋊Dic59—21no—
589C22⋊Dic59—21no—
590C22⋊Dic59C2×D411yescharacteristic
591C22⋊Dic59C2×D411yescharacteristic
592C22⋊Dic59C2×D411yescharacteristic
593C22⋊Dic59C2×D411yescharacteristic
594#11745670—22no—
595#11745670—41no—
596#11745670—41no—
597#11745670—41no—
598(C2×D59)⋊C4—21no—
599(C2×D59)⋊C4—21no—
600(C2×D59)⋊C4C2×D411yescharacteristic
601(C2×D59)⋊C4C2×D411yescharacteristic
602(C2×D59)⋊C4C2×D411yescharacteristic
603(C2×D59)⋊C4C2×D411yescharacteristic
604C4⋊Dic59—21no—
605C4⋊Dic59—21no—
606C4⋊Dic59—21no—
607C4⋊Dic59—21no—
608C4⋊Dic59—21no—
609C4⋊Dic59—21no—
610C4⋊Dic59—21no—
611C4⋊Dic59—21no—
612C4⋊Dic59C2×D411yescharacteristic
613C4⋊Dic59C2×D411yescharacteristic
614C4⋊Dic59C2×D411yescharacteristic
615C4⋊Dic59C2411yescharacteristic
616C4⋊Dic59C2411yescharacteristic
617C4⋊Dic59C2411yescharacteristic
618C4⋊Dic59C2411yescharacteristic
619C4⋊Dic59C2411yescharacteristic
620C4⋊Dic59C2411yescharacteristic
621Dic59⋊C4—21no—
622Dic59⋊C4—21no—
623Dic59⋊C4—21no—
624Dic59⋊C4—21no—
625Dic59⋊C4—21no—
626Dic59⋊C4—21no—
627Dic59⋊C4—21no—
628Dic59⋊C4—21no—
629Dic59⋊C4—21no—
630Dic59⋊C4—21no—
631Dic59⋊C4—21no—
632Dic59⋊C4—21no—
633Dic59⋊C4—21no—
634Dic59⋊C4—21no—
635Dic59⋊C4—21no—
636Dic59⋊C4—21no—
637Dic59⋊C4—21no—
638Dic59⋊C4—21no—
639Dic59⋊C4—21no—
640Dic59⋊C4—21no—
641Dic59⋊C4—21no—
642Dic59⋊C4—21no—
643Dic59⋊C4C2×D411yescharacteristic
644Dic59⋊C4C2×D411yescharacteristic
645Dic59⋊C4C2×D411yescharacteristic
646Dic59⋊C4C2×D411yescharacteristic
647Dic59⋊C4C2×D411yescharacteristic
648Dic59⋊C4C2×D411yescharacteristic
649C4×Dic59—21no—
650C4×Dic59—21no—
651C4×Dic59—21no—
652C4×Dic59—21no—
653C4×Dic59—21no—
654C4×Dic59—21no—
655C4×Dic59—21no—
656C4×Dic59—21no—
657C4×Dic59—21no—
658C4×Dic59C2×D411yescharacteristic
659C4×Dic59C2×D411yescharacteristic
660C4×Dic59C2411yescharacteristic
661C4×Dic59C2411yescharacteristic
662C4×Dic59C2411yescharacteristic
663#11745664—41no—
664#11745664—41no—
665C2×C59⋊C8C2411yescharacteristic
666C2×C59⋊C8C2411yescharacteristic
667C2×C59⋊C8C2411yescharacteristic
668C2×C59⋊C8C2411yescharacteristic
669Dic236—41no—
670#11745659—41no—
671C8×D59—41no—
672C23×C59—21no—
673C23×C59—21no—
674C23×C59—21no—
675C23×C59—21no—
676C23×C59—42no—
677C23×C59—42no—
678C23×C59—42no—
679C23×C59—81no—
680C23×C59—81no—
681C23×C59—81no—
682C23×C59C22×D411yescharacteristic
683C23×C59C22×D411yescharacteristic
684C22×D59C22×D411yescharacteristic
685D4×C59—21no—
686D4×C59—21no—
687D4×C59—21no—
688D4×C59—21no—
689D4×C59—21no—
690D4×C59—21no—
691D4×C59—21no—
692D4×C59—41no—
693D4×C59—42no—
694D4×C59—42no—
695D4×C59—42no—
696D4×C59—81no—
697D4×C59—81no—
698D4×C59—81no—
699D4×C59—81no—
700D4×C59—81no—
701D4×C592−1+412yes—
702C2×C4×C59—21no—
703C2×C4×C59—21no—
704C2×C4×C59—21no—
705C2×C4×C59—21no—
706C2×C4×C59—21no—
707C2×C4×C59—21no—
708C2×C4×C59—21no—
709C2×C4×C59—21no—
710C2×C4×C59—81no—
711C2×C4×C59—81no—
712C2×C4×C59—81no—
713C2×C4×C59C22×D411yescharacteristic
714C2×C4×C59C22×D411yescharacteristic
715C2×C4×C59C22×D411yescharacteristic
716C2×C4×C59C22×D411yescharacteristic
717C2×C4×C59C2511yescharacteristic
718C22⋊D59—41no—
719C22⋊D59—41no—
720C22⋊D59—42no—
721C22⋊D59—81no—
722C22⋊D59—81no—
723C22⋊D59—81no—
724C2×Dic59—21no—
725C2×Dic59—21no—
726C2×Dic59—21no—
727C2×Dic59—21no—
728C2×Dic59—21no—
729C2×Dic59—21no—
730C2×Dic59—21no—
731C2×Dic59—21no—
732C2×Dic59—41no—
733C2×Dic59—41no—
734C2×Dic59—42no—
735C2×Dic59—42no—
736C2×Dic59—81no—
737C2×Dic59—81no—
738C2×Dic59—81no—
739C2×Dic59—81no—
740C2×Dic59—81no—
741C2×Dic59—81no—
742C2×Dic59—81no—
743C2×Dic59—81no—
744C2×Dic59—81no—
745C2×Dic59C22×D411yescharacteristic
746C2×Dic59C22×D411yescharacteristic
747C2×Dic59C22×D411yescharacteristic
748C2×Dic59C22×D411yescharacteristic
749C2×Dic59C22×D411yescharacteristic
750C2×Dic59C22×D411yescharacteristic
751C2×Dic59C22×D411yescharacteristic
752C4×D59—21no—
753C4×D59—21no—
754C4×D59—81no—
755C4×D59—81no—
756Dic118—21no—
757Dic118—21no—
758Dic118—21no—
759Dic118—21no—
760Dic118—41no—
761Dic118—81no—
762Dic118—81no—
763Dic118—81no—
764Dic118—81no—
765Dic118—81no—
766C8×C59—21no—
767C8×C59—21no—
768C8×C59—21no—
769C8×C59—21no—
770C59⋊C8—21no—
771C59⋊C8—21no—
772C59⋊C8—21no—
773C59⋊C8—21no—
774#62175—591nomaximal, Sylow
775C22×C59—21no—
776C22×C59—21no—
777C22×C59—21no—
778C22×C59—21no—
779C22×C59—22no—
780C22×C59—21no—
781C22×C59—21no—
782C22×C59—41no—
783C22×C59—41no—
784C22×C59—41no—
785C22×C59—41no—
786C22×C59—41no—
787C22×C59—41no—
788C22×C59—41no—
789C22×C59—41no—
790C22×C59—41no—
791C22×C59—41no—
792C22×C59—41no—
793C22×C59—84no—
794C22×C59—162no—
795C22×C59C23×D411yescharacteristic
796C2×D59—21no—
797C2×D59—21no—
798C2×D59—21no—
799C4×C59—21no—
800C4×C59—21no—
801C4×C59—21no—
802C4×C59—21no—
803C4×C59—41no—
804C4×C59—41no—
805C4×C59—41no—
806C4×C59—41no—
807C4×C59C2×2−1+411yescharacteristic
808C4×C59#58511yescharacteristic
809Dic59—21no—
810Dic59—21no—
811Dic59—21no—
812Dic59—21no—
813Dic59—21no—
814Dic59—21no—
815Dic59—21no—
816Dic59—41no—
817Dic59—41no—
818Dic59—41no—
819Dic59—41no—
820Dic59—41no—
821Dic59—41no—
822Dic59—41no—
823Dic59—41no—
824#3565—591no—
825#3513—591no—
826#3389—591no—
827#3381—591no—
828#3371—591no—
829#3361—591no—
830#3354—591no—
831#3351—591no—
832#3351—591no—
833#3349—591no—
834#3343—591no—
835#3339—591no—
836#3324—591no—
837#3323—591no—
838#3322—591no—
839#3319—591no—
840#3318D5911yescharacteristic, complemented
841#3296—591no—
842#3262—591no—
843#3257—591no—
844#3256—591no—
845#3244—591no—
846#3241—591no—
847#3233—591no—
848#3125—591no—
849#3118—591no—
850#3105—591no—
851#3083—591no—
852#3081—591no—
853#3077—591no—
854#2993—591no—
855C2×C59—41no—
856C2×C59—41no—
857C2×C59—42no—
858C2×C59—81no—
859C2×C59—81no—
860C2×C59—81no—
861C2×C59#348911yescharacteristic
862C2×C59#358411yescharacteristic
863C2×C59#358511yescharacteristic
864D59—41no—
865#563—1181no—
866#562—1181no—
867#559—591no—
868#557—591no—
869#556—591no—
870#556—1181no—
871#555—591no—
872#554—591no—
873#554—591no—
874#553—591no—
875#553—591no—
876#553—1181no—
877#553C2×D5911yescharacteristic
878#552—591no—
879#552—591no—
880#552—591no—
881#552—1181no—
882#551—1181no—
883#551—1181no—
884#547—591no—
885#546—591no—
886#546—591no—
887#546—1181no—
888D42C2×D5911yescharacteristic
889#544—591no—
890#544—591no—
891#542—591no—
892#542—591no—
893#542—591no—
894#542—1181no—
895#542—1181no—
896#541—1181no—
897#540—591no—
898#539—1181no—
899#539—1181no—
900#538—1181no—
901#533—591no—
902#529—591no—
903#529—591no—
904#529—591no—
905#525—1181no—
906C2×#123—1181no—
907#520—591no—
908#518—591no—
909C2×C4×D4—591no—
910#501—591no—
911#501—591no—
912#499—591no—
913#499—591no—
914#499—591no—
915#498—591no—
916#490C2×D5911yescharacteristic
917#489—591no—
918#488—591no—
919#488—591no—
920#488—591no—
921#486—591no—
922#485—591no—
923#485—591no—
924#485—591no—
925#485—591no—
926#484—591no—
927#483—591no—
928#483—591no—
929#482—591no—
930#482—591no—
931#482—591no—
932#482—591no—
933#482—591no—
934#482C2×D5911yescharacteristic
935#481—591no—
936#481—591no—
937#481—591no—
938#481C2×D5911yescharacteristic
939#480—591no—
940#479—591no—
941#479—591no—
942#479—591no—
943#479—591no—
944#478—591no—
945#478—591no—
946#478—591no—
947#478—591no—
948#478—591no—
949#478—591no—
950#478—591no—
951#478—591no—
952#478—591no—
953#478—591no—
954#478—591no—
955#478C2×D5911yescharacteristic
956#477—591no—
957#477—591no—
958#477—591no—
959#476—591no—
960#476—591no—
961#476—591no—
962#476—591no—
963#475—591no—
964#474—591no—
965#474—591no—
966#474—591no—
967#474—591no—
968#474—591no—
969#474—591no—
970#470—591no—
971#469—591no—
972#469C2×D5911yescharacteristic
973#468—591no—
974#468—591no—
975#468—591no—
976#468—591no—
977#468—591no—
978#467—591no—
979#466—591no—
980#466C2×D5911yescharacteristic
981#465—591no—
982#464—591no—
983#464—591no—
984#464—591no—
985#463—591no—
986#463—591no—
987#463—591no—
988#463—591no—
989#463—591no—
990#460—591no—
991#459C2×D5911yescharacteristic
992#452—591no—
993#450—591no—
994#450—591no—
995#449—591no—
996#447C2×D5911yescharacteristic
997#447C2×D5911yescharacteristic
998#446—591no—
999C8×Q8—591no—
1000#442—591no—
1001#442C2×D5911yescharacteristic
1002#441—591no—
1003#440—591no—
1004C4×SD16—591no—
1005C4×SD16—591no—
1006C4×SD16—591no—
1007C4×SD16—591no—
1008C4×SD16—591no—
1009C4×D8—591no—
1010C4×D8—591no—
1011C4×D8—591no—
1012#436—591no—
1013#436—591no—
1014#436—591no—
1015#435—591no—
1016#435C2×D5911yescharacteristic
1017C8×D4—591no—
1018#433—591no—
1019#433—591no—
1020#431—591no—
1021#428—591no—
1022#428—591no—
1023#428—591no—
1024#428—591no—
1025#427—591no—
1026C2×#107—591no—
1027#424—591no—
1028#424—591no—
1029#423—591no—
1030#418—591no—
1031#418—591no—
1032#418C2×D5911yescharacteristic
1033#417—591no—
1034#416—591no—
1035C2×#102C2×D5911yescharacteristic
1036C59#6217511yescharacteristic, complemented, Sylow
1037C2×#41—591no—
1038C2×#41—1181no—
1039C22×D4—21no—
1040C22×D4C22×D5911yescharacteristic
1041C22×D4C22×D5911yescharacteristic
1042C23×C4—1181no—
1043C2×Q16—591no—
1044C2×SD16—591no—
1045C2×SD16—591no—
1046C2×SD16—591no—
1047C2×SD16—591no—
1048C2×D8C22×D5911yescharacteristic
1049C2×D8C22×D5911yescharacteristic
1050C2×D8C22×D5911yescharacteristic
1051C2×M16—591no—
1052C2×M16—591no—
1053C2×M16—591no—
1054C2×M16C22×D5911yescharacteristic
1055C22×C8—591no—
1056C22×C8C22×D5911yescharacteristic
1057C4⋊Q8—591no—
1058C4⋊Q8—591no—
1059C4⋊Q8—591no—
1060C4⋊Q8—591no—
1061C4⋊Q8—591no—
1062C4⋊Q8—1181no—
1063C4⋊Q8—1181no—
1064C4⋊Q8—1181no—
1065#127C22×D5911yescharacteristic
1066#126—21no—
1067#126—591no—
1068#126—591no—
1069#126—1181no—
1070#126—1181no—
1071#126—1181no—
1072#126—1181no—
1073#126—1181no—
1074#126—1181no—
1075#126—1181no—
1076#126—1181no—
1077#126—1181no—
1078#126—1181no—
1079#126—1181no—
1080#126—1181no—
1081#125—591no—
1082#125—591no—
1083#125—591no—
1084#125—591no—
1085#125—591no—
1086#125—591no—
1087#125—591no—
1088#125—1181no—
1089#125—1181no—
1090#125—1181no—
1091#125—1181no—
1092#125—1181no—
1093#125—1181no—
1094#125—1181no—
1095#125C22×D5911yescharacteristic
1096#124—591no—
1097#124—591no—
1098#124—591no—
1099#124—591no—
1100#124—1181no—
1101#124—1181no—
1102#124—1181no—
1103#124—1181no—
1104#124—1181no—
1105#124—1181no—
1106#124—1181no—
1107#123—21no—
1108#123—591no—
1109#123—591no—
1110#123—1181no—
1111#123—1181no—
1112#123—1181no—
1113#123—1181no—
1114#123—1181no—
1115#123—1181no—
1116#123—1181no—
1117#123—1181no—
1118#123—1181no—
1119#123—1181no—
1120#123—1181no—
1121#123—1181no—
1122#123—1181no—
1123#123—1181no—
1124#123—1181no—
1125#123—1181no—
1126#123—1181no—
1127#123—1181no—
1128C22⋊Q8—591no—
1129C22⋊Q8—591no—
1130C22⋊Q8—591no—
1131C22⋊Q8—591no—
1132C22⋊Q8—591no—
1133C22⋊Q8—591no—
1134C22⋊Q8—1181no—
1135C22⋊Q8—1181no—
1136C22⋊Q8—1181no—
1137C22⋊Q8—1181no—
1138C22⋊Q8—1181no—
1139C22⋊Q8—1181no—
1140C22⋊Q8—1181no—
1141C22⋊Q8—1181no—
1142C22⋊Q8—1181no—
1143C22⋊Q8—1181no—
1144C22⋊Q8—1181no—
1145C22⋊Q8—1181no—
1146C22⋊Q8—1181no—
1147C22⋊Q8—1181no—
1148C22⋊Q8—1181no—
1149C22⋊Q8—1181no—
1150#121—21no—
1151#121—21no—
1152#121—591no—
1153#121—591no—
1154#121—591no—
1155#121—591no—
1156#121—1181no—
1157#121—1181no—
1158#121—1181no—
1159#121—1181no—
1160#121—1181no—
1161#121—1181no—
1162#121—1181no—
1163#121C22×D5911yescharacteristic
1164#121C22×D5911yescharacteristic
1165#121C22×D5911yescharacteristic
1166#121C22×D5911yescharacteristic
1167#120—21no—
1168#120—21no—
1169#120—1181no—
1170#120—1181no—
1171C4×Q8—591no—
1172C4×Q8—591no—
1173C4×Q8—591no—
1174C4×Q8—591no—
1175C4×Q8—591no—
1176C4×Q8—591no—
1177C4×Q8—1181no—
1178C4×Q8—1181no—
1179C4×Q8—1181no—
1180C4×Q8—1181no—
1181C4×D4—21no—
1182C4×D4—591no—
1183C4×D4—591no—
1184C4×D4—591no—
1185C4×D4—591no—
1186C4×D4—591no—
1187C4×D4—591no—
1188C4×D4—591no—
1189C4×D4—591no—
1190C4×D4—591no—
1191C4×D4—591no—
1192C4×D4—591no—
1193C4×D4—1181no—
1194C4×D4—1181no—
1195C4×D4—1181no—
1196C4×D4—1181no—
1197C4×D4—1181no—
1198C4×D4—1181no—
1199C4×D4—1181no—
1200C4×D4—1181no—
1201C4×D4—1181no—
1202C4×D4—1181no—
1203C4×D4—1181no—
1204C4×D4C22×D5911yescharacteristic
1205C4×D4C22×D5911yescharacteristic
1206C4×D4C22×D5911yescharacteristic
1207#117—591no—
1208#117—591no—
1209#117—591no—
1210#117—591no—
1211#117—591no—
1212#117—591no—
1213#117—1181no—
1214#117—1181no—
1215#117—1181no—
1216#117—1181no—
1217#117—1181no—
1218#117—1181no—
1219#117—1181no—
1220#117C22×D5911yescharacteristic
1221C2×C4⋊C4—591no—
1222C2×C4⋊C4—591no—
1223C2×C4⋊C4—591no—
1224C2×C4⋊C4—1181no—
1225C2×C4⋊C4—1181no—
1226C2×C4⋊C4—1181no—
1227C2×C4⋊C4C22×D5911yescharacteristic
1228C2×C22⋊C4—1181no—
1229C2×C22⋊C4—1181no—
1230C2×C22⋊C4—1181no—
1231C2×C22⋊C4—1181no—
1232C2×C22⋊C4—1181no—
1233C2×C42—591no—
1234#107—591no—
1235#107—591no—
1236#107—591no—
1237#107—591no—
1238#107—591no—
1239#107—591no—
1240#107—591no—
1241#107—591no—
1242#107—591no—
1243#107—591no—
1244#107—591no—
1245#107C22×D5911yescharacteristic
1246#106—591no—
1247#106—591no—
1248#106—591no—
1249#106—591no—
1250#106—591no—
1251#106—591no—
1252#106—591no—
1253#106—591no—
1254#106—591no—
1255#106—591no—
1256#106C22×D5911yescharacteristic
1257#106C22×D5911yescharacteristic
1258C4⋊C8—591no—
1259C4⋊C8—591no—
1260C4⋊C8—591no—
1261C4⋊C8—591no—
1262C4⋊C8—591no—
1263C4⋊C8—591no—
1264C4⋊C8—591no—
1265C4⋊C8—591no—
1266C4⋊C8—591no—
1267C4⋊C8C22×D5911yescharacteristic
1268#103—591no—
1269#103—591no—
1270#103—591no—
1271#103—591no—
1272#103—591no—
1273#103—591no—
1274#103—591no—
1275#103—591no—
1276#103—591no—
1277#103—591no—
1278#102—591no—
1279#102—591no—
1280#102—591no—
1281#102—591no—
1282#102—591no—
1283#102—591no—
1284#102—591no—
1285#102—591no—
1286#102—591no—
1287#102—591no—
1288#102—591no—
1289#102—591no—
1290#102C22×D5911yescharacteristic
1291#102C22×D5911yescharacteristic
1292#102C22×D5911yescharacteristic
1293#102C22×D5911yescharacteristic
1294#102C22×D5911yescharacteristic
1295#102C22×D5911yescharacteristic
1296#102C22×D5911yescharacteristic
1297#102C22×D5911yescharacteristic
1298#102C22×D5911yescharacteristic
1299#102C22×D5911yescharacteristic
1300C22⋊C8—591no—
1301C22⋊C8—591no—
1302C22⋊C8—591no—
1303C22⋊C8—591no—
1304C22⋊C8C22×D5911yescharacteristic
1305C22⋊C8C22×D5911yescharacteristic
1306#97—591no—
1307#97C22×D5911yescharacteristic
1308C4×C8—591no—
1309C4×C8—591no—
1310C4×C8—591no—
1311C4×C8—591no—
1312C24—21no—
1313C24—21no—
1314#41—1182no—
1315#41—4722no—
1316#41—2361no—
1317C2×Q8—591no—
1318C2×Q8—591no—
1319C2×Q8—591no—
1320C2×Q8—1181no—
1321C2×Q8—1181no—
1322C2×Q8—1181no—
1323C2×Q8—1181no—
1324C2×Q8—1181no—
1325C2×D4—22no—
1326C2×D4—22no—
1327C2×D4—21no—
1328C2×D4—21no—
1329C2×D4—21no—
1330C2×D4—21no—
1331C2×D4—21no—
1332C2×D4—21no—
1333C2×D4—21no—
1334C2×D4—21no—
1335C2×D4—41no—
1336C2×D4—41no—
1337C2×D4—82no—
1338C2×D4—591no—
1339C2×D4—591no—
1340C2×D4—1181no—
1341C2×D4—1181no—
1342C2×D4—1181no—
1343C2×D4—1181no—
1344C2×D4D4×D5911yescharacteristic
1345C2×D4C23×D5911yescharacteristic
1346C2×D4C23×D5911yescharacteristic
1347C2×D4C23×D5911yescharacteristic
1348C2×D4C23×D5911yescharacteristic
1349C22×C4—21no—
1350C22×C4—21no—
1351C22×C4—21no—
1352C22×C4—591no—
1353C22×C4—591no—
1354C22×C4—591no—
1355C22×C4—1181no—
1356C22×C4—1181no—
1357C22×C4—1181no—
1358C22×C4—1181no—
1359C22×C4—1181no—
1360C22×C4—1181no—
1361C22×C4—1181no—
1362C22×C4—1181no—
1363C22×C4—1181no—
1364C22×C4—1181no—
1365C22×C4—1181no—
1366C22×C4—1181no—
1367C22×C4—1181no—
1368C22×C4—4722no—
1369C22×C4C23×D5911yescharacteristic
1370C22×C4C23×D5911yescharacteristic
1371Q16—2361no—
1372SD16—1182no—
1373SD16—2361no—
1374SD16—2361no—
1375SD16—2361no—
1376D8—22no—
1377D8—41no—
1378D8—41no—
1379M16—41no—
1380M16—2361no—
1381M16—2361no—
1382M16—2361no—
1383C2×C8—41no—
1384C2×C8—591no—
1385C2×C8—591no—
1386C2×C8—591no—
1387C2×C8—591no—
1388C2×C8—2361no—
1389C2×C8C23×D5911yescharacteristic
1390C2×C8C23×D5911yescharacteristic
1391C2×C8C23×D5911yescharacteristic
1392C2×C8C23×D5911yescharacteristic
1393C4⋊C4—21no—
1394C4⋊C4—21no—
1395C4⋊C4—21no—
1396C4⋊C4—591no—
1397C4⋊C4—591no—
1398C4⋊C4—591no—
1399C4⋊C4—591no—
1400C4⋊C4—591no—
1401C4⋊C4—591no—
1402C4⋊C4—591no—
1403C4⋊C4—591no—
1404C4⋊C4—591no—
1405C4⋊C4—591no—
1406C4⋊C4—591no—
1407C4⋊C4—591no—
1408C4⋊C4—591no—
1409C4⋊C4—591no—
1410C4⋊C4—591no—
1411C4⋊C4—1181no—
1412C4⋊C4—1181no—
1413C4⋊C4—1181no—
1414C4⋊C4—1181no—
1415C4⋊C4—1181no—
1416C4⋊C4—1181no—
1417C4⋊C4—1181no—
1418C4⋊C4—1181no—
1419C4⋊C4—1181no—
1420C4⋊C4—1181no—
1421C4⋊C4—1181no—
1422C4⋊C4—1181no—
1423C4⋊C4—1181no—
1424C4⋊C4—1181no—
1425C4⋊C4—1181no—
1426C4⋊C4—1181no—
1427C4⋊C4—1181no—
1428C4⋊C4—1181no—
1429C4⋊C4—1181no—
1430C4⋊C4—1181no—
1431C4⋊C4—1181no—
1432C4⋊C4—1181no—
1433C4⋊C4—1181no—
1434C4⋊C4—1181no—
1435C4⋊C4—1181no—
1436C4⋊C4—1181no—
1437C4⋊C4—1181no—
1438C4⋊C4—1181no—
1439C4⋊C4—1181no—
1440C4⋊C4—1181no—
1441C4⋊C4D4×D5911yescharacteristic
1442C4⋊C4C23×D5911yescharacteristic
1443C4⋊C4C23×D5911yescharacteristic
1444C4⋊C4C23×D5911yescharacteristic
1445C4⋊C4C23×D5911yescharacteristic
1446C22⋊C4—21no—
1447C22⋊C4—21no—
1448C22⋊C4—21no—
1449C22⋊C4—21no—
1450C22⋊C4—21no—
1451C22⋊C4—21no—
1452C22⋊C4—21no—
1453C22⋊C4—591no—
1454C22⋊C4—591no—
1455C22⋊C4—591no—
1456C22⋊C4—591no—
1457C22⋊C4—591no—
1458C22⋊C4—591no—
1459C22⋊C4—591no—
1460C22⋊C4—591no—
1461C22⋊C4—1181no—
1462C22⋊C4—1181no—
1463C22⋊C4—1181no—
1464C22⋊C4—1181no—
1465C22⋊C4—1181no—
1466C22⋊C4—1181no—
1467C22⋊C4—1181no—
1468C22⋊C4—1181no—
1469C22⋊C4—1181no—
1470C22⋊C4—1181no—
1471C22⋊C4—1181no—
1472C22⋊C4—1181no—
1473C22⋊C4—1181no—
1474C22⋊C4—1181no—
1475C22⋊C4—1181no—
1476C22⋊C4—1181no—
1477C22⋊C4—1181no—
1478C22⋊C4—1181no—
1479C22⋊C4—1181no—
1480C22⋊C4—1181no—
1481C22⋊C4—1181no—
1482C22⋊C4—1181no—
1483C22⋊C4—1181no—
1484C22⋊C4—1181no—
1485C22⋊C4—1181no—
1486C22⋊C4—1181no—
1487C22⋊C4—1181no—
1488C22⋊C4D4×D5911yescharacteristic
1489C22⋊C4D4×D5911yescharacteristic
1490C42—21no—
1491C42—591no—
1492C42—591no—
1493C42—591no—
1494C42—591no—
1495C42—591no—
1496C42—1181no—
1497C42—1181no—
1498C42—1181no—
1499C42—1181no—
1500C42—1181no—
1501C42—1181no—
1502C42—1181no—
1503C42—1181no—
1504C42—1181no—
1505C42C23×D5911yescharacteristic
1506C23—21no—
1507C23—21no—
1508C23—21no—
1509C23—21no—
1510C23—42no—
1511C23—42no—
1512C23—42no—
1513C23—81no—
1514C23—81no—
1515C23—81no—
1516C23—591no—
1517C23C2×D4×D5911yescharacteristic
1518C23C2×D4×D5911yescharacteristic
1519Q8—1181no—
1520Q8—1181no—
1521Q8—1181no—
1522Q8—1181no—
1523Q8—4721no—
1524Q8—4721no—
1525Q8—4721no—
1526Q8—4721no—
1527Q8—4721no—
1528Q8—2361no—
1529D4—21no—
1530D4—21no—
1531D4—21no—
1532D4—21no—
1533D4—21no—
1534D4—21no—
1535D4—21no—
1536D4—41no—
1537D4—42no—
1538D4—42no—
1539D4—42no—
1540D4—81no—
1541D4—81no—
1542D4—81no—
1543D4—81no—
1544D4—81no—
1545D4—4721no—
1546D4—4721no—
1547D4—4721no—
1548D4—2361no—
1549D4—2361no—
1550D4—2362no—
1551D4#1427377412yes—
1552C2×C4—21no—
1553C2×C4—21no—
1554C2×C4—21no—
1555C2×C4—21no—
1556C2×C4—21no—
1557C2×C4—21no—
1558C2×C4—21no—
1559C2×C4—21no—
1560C2×C4—81no—
1561C2×C4—81no—
1562C2×C4—81no—
1563C2×C4—591no—
1564C2×C4—591no—
1565C2×C4—591no—
1566C2×C4—591no—
1567C2×C4—591no—
1568C2×C4—591no—
1569C2×C4—591no—
1570C2×C4—1181no—
1571C2×C4—1181no—
1572C2×C4—1181no—
1573C2×C4—1181no—
1574C2×C4—1181no—
1575C2×C4—1181no—
1576C2×C4—1181no—
1577C2×C4—1181no—
1578C2×C4—1181no—
1579C2×C4—1181no—
1580C2×C4—4721no—
1581C2×C4—4721no—
1582C2×C4—4721no—
1583C2×C4—4721no—
1584C2×C4—4721no—
1585C2×C4—4721no—
1586C2×C4—4721no—
1587C2×C4—4721no—
1588C2×C4—4721no—
1589C2×C4—4721no—
1590C2×C4—4721no—
1591C2×C4—2361no—
1592C2×C4—2361no—
1593C2×C4—2362no—
1594C2×C4—2362no—
1595C2×C4C2×D4×D5911yescharacteristic
1596C2×C4C2×D4×D5911yescharacteristic
1597C2×C4C2×D4×D5911yescharacteristic
1598C2×C4C2×D4×D5911yescharacteristic
1599C2×C4C24×D5911yescharacteristic
1600C8—21no—
1601C8—21no—
1602C8—21no—
1603C8—21no—
1604C8—1181no—
1605C8—1181no—
1606C8—1181no—
1607C8—1181no—
1608C22—21no—
1609C22—21no—
1610C22—22no—
1611C22—21no—
1612C22—21no—
1613C22—21no—
1614C22—21no—
1615C22—41no—
1616C22—41no—
1617C22—41no—
1618C22—41no—
1619C22—41no—
1620C22—41no—
1621C22—41no—
1622C22—41no—
1623C22—41no—
1624C22—41no—
1625C22—41no—
1626C22—84no—
1627C22—162no—
1628C22—1181no—
1629C22—1181no—
1630C22—1181no—
1631C22C22×D4×D5911yescharacteristic
1632C4—21no—
1633C4—21no—
1634C4—21no—
1635C4—21no—
1636C4—41no—
1637C4—41no—
1638C4—41no—
1639C4—41no—
1640C4—1181no—
1641C4—1181no—
1642C4—1181no—
1643C4—1181no—
1644C4—1181no—
1645C4—1181no—
1646C4—1181no—
1647C4—2361no—
1648C4—2361no—
1649C4—2361no—
1650C4—2361no—
1651C4—2361no—
1652C4—2361no—
1653C4—2361no—
1654C4—2361no—
1655C4C2×#1427377411yescharacteristic
1656C4#1683823711yescharacteristic
1657C2—41no—
1658C2—41no—
1659C2—42no—
1660C2—81no—
1661C2—81no—
1662C2—81no—
1663C2—2361no—
1664C2#2143776711yescharacteristic
1665C2#2143886411yescharacteristic
1666C2#2143887211yescharacteristic
subgroupG/H
centerC22C22×D4×D59
commutator, cosocleC2×C4×C59C25
FrattiniC2×C4C24×D59
FittingC59×#3318C2
socleC22×C59C23×D4
hypercenter#3318D59
hypocenterC59#62175
LCSG ▷ C2×C4×C59 ▷ C2×C59 ▷ C59
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3318

Complements

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

NH ≅ G/Ntype
1. #21438742C2semidirect
2. #21438021C2semidirect
3. #21437055C2semidirect
4. #21436966C2semidirect
5. #21436859C2semidirect
6. #21436760C2semidirect
7. #21436686C2semidirect
8. #21436660C2semidirect
9. #21436650C2semidirect
10. #21436628C2semidirect
11. #21436529C2semidirect
12. #21436493C2semidirect
13. #21436327C2semidirect
14. #21436308C2semidirect
15. #21436301C2semidirect
16. #21436245C2semidirect
17. #21435927C2semidirect
18. #21435551C2semidirect
19. #21435503C2semidirect
20. #21435491C2semidirect
21. #21435390C2semidirect
22. #21435344C2semidirect
23. #21435272C2semidirect
24. #21434377C2semidirect
25. #21434273C2semidirect
26. #21434138C2semidirect
27. #21433948C2semidirect
28. #21433923C2semidirect
29. #21433890C2semidirect
30. #21433238C2semidirect
31. C59×#3318C2semidirect
35. #16838129C22semidirect
38. #16838116C22semidirect
40. #16838109C22semidirect
42. #16838099C22semidirect
46. #16838091C22semidirect
47. #16838087C22semidirect
54. #16838033C22semidirect
55. #16838032C22semidirect
58. #16838019C22semidirect
60. #16838017C22semidirect
66. #16837955C22semidirect
68. #16837933C22semidirect
75. #16837811C22semidirect
76. #16837809C22semidirect
77. #16837803C22semidirect
78. #16837802C22semidirect
79. #16837801C22semidirect
80. #16837799C22semidirect
81. #16837760C22semidirect
82. #16837755C22semidirect
83. #16837755C22semidirect
84. #16837755C22semidirect
86. #16837744C22semidirect
87. #16837744C22semidirect
88. #16837744C22semidirect
89. #16837743C22semidirect
90. #16837738C22semidirect
91. #16837734C22semidirect
92. #16837732C22semidirect
93. #16837725C22semidirect
94. #16837724C22semidirect
97. #16837723C22semidirect
98. #16837719C22semidirect
99. #16837719C22semidirect
100. #16837718C22semidirect
101. #16837714C22semidirect
102. #16837712C22semidirect
103. #16837712C22semidirect
104. #16837710C22semidirect
105. #16837706C22semidirect
108. #16837704C22semidirect
109. #16837704C22semidirect
110. #16837704C22semidirect
111. #16837702C22semidirect
114. #16837700C22semidirect
115. #16837700C22semidirect
116. #16837700C22semidirect
117. #16837698C22semidirect
118. #16837696C22semidirect
119. #16837696C22semidirect
121. #16837690C22semidirect
122. #16837690C22semidirect
123. #16837690C22semidirect
124. #16837686C22semidirect
128. #16837680C22semidirect
129. #16837680C22semidirect
130. #16837680C22semidirect
131. #16837660C22semidirect
132. #16837652C22semidirect
133. #16837647C22semidirect
136. #16837646C22semidirect
137. #16837646C22semidirect
138. #16837643C22semidirect
139. #16837635C22semidirect
140. #16837630C22semidirect
141. #16837623C22semidirect
142. #16837623C22semidirect
143. #16837623C22semidirect
145. #16837615C22semidirect
146. #16837615C22semidirect
147. #16837615C22semidirect
148. #16837615C22semidirect
154. #16837530C22semidirect
155. #16837526C22semidirect
157. #16837510C22semidirect
158. #16837499C22semidirect
161. #16837493C22semidirect
163. C4×#11745670C22semidirect
165. D8×Dic59C22semidirect
166. D8×Dic59C22semidirect
168. #16837478C22semidirect
169. #16837477C22semidirect
170. #16837476C22semidirect
171. C8×C22⋊D59C22semidirect
172. #16837464C22semidirect
173. #16837460C22semidirect
174. #16837452C22semidirect
175. #16837445C22semidirect
176. #16837444C22semidirect
177. #16837442C22semidirect
178. #16837441C22semidirect
179. #16837440C22semidirect
180. #107×D59C22semidirect
181. #16837428C22semidirect
182. #16837427C22semidirect
183. #16837425C22semidirect
840. #3318D59semidirect
1036. C59#62175semidirect

Maximal subgroups

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

subgroupindex
#214387422
#214380212
#214370552
#214369662
#214368592
#214367602
#214366862
#214366602
#214366502
#214366282
#214365292
#214364932
#214363272
#214363082
#214363012
#214362452
#214359272
#214355512
#214355032
#214354912
#214353902
#214353442
#214352722
#214343772
#214342732
#214341382
#214339482
#214339232
#214338902
#214332382
C59×#33182
#6217559