Finite Group Databasebeta

← #29470452

Subgroups — #29470452

Order 15104.

1978 conjugacy classes of subgroups.

The subgroup lattice has 1776 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21437707C211yesmaximal, characteristic, complemented
2#21437703C211yesmaximal, characteristic, complemented
3#21437185C211yesmaximal, characteristic, complemented
4#21437051C211yesmaximal, characteristic, complemented
5#21436856C211yesmaximal, characteristic, complemented
6#21436852C211yesmaximal, characteristic, complemented
7#21436698C211yesmaximal, characteristic, complemented
8#21436577C211yesmaximal, characteristic, complemented
9#21436300C211yesmaximal, characteristic, complemented
10#21436295C211yesmaximal, characteristic, complemented
11#21436235C211yesmaximal, characteristic, complemented
12#21436231C211yesmaximal, characteristic, complemented
13#21436175C211yesmaximal, characteristic, complemented
14#21436171C211yesmaximal, characteristic, complemented
15#21435704C211yesmaximal, characteristic, complemented
16#21435581C211yesmaximal, characteristic, complemented
17#21435573C211yesmaximal, characteristic, complemented
18#21434693C211yesmaximal, characteristic, complemented
19#21434684C211yesmaximal, characteristic, complemented
20#21434659C211yesmaximal, characteristic, complemented
21#21434146C211yesmaximal, characteristic, complemented
22#21434140C211yesmaximal, characteristic, complemented
23#21434121C211yesmaximal, characteristic, complemented
24#21434117C211yesmaximal, characteristic, complemented
25#21434098C211yesmaximal, characteristic, complemented
26#21434093C211yesmaximal, characteristic, complemented
27#21433056C211yesmaximal, characteristic, complemented
28#21432903C211yesmaximal, characteristic, complemented
29#21432901C211yesmaximal, characteristic, complemented
30C2×#16837484C211yesmaximal, characteristic, complemented
31C59×#3346C211yesmaximal, characteristic, complemented
32C2×#14273755C2211yescharacteristic
33C2×#14273754C2211yescharacteristic
34C22×D472C2211yescharacteristic
35#16838137C2211yescharacteristic, complemented
36#16838135C2211yescharacteristic, complemented
37#16838113C2211yescharacteristic, complemented
38#16838108C2211yescharacteristic, complemented
39#16838107C2211yescharacteristic, complemented
40#16838105—21no—
41#16838100C2211yescharacteristic
42#16838100C2211yescharacteristic, complemented
43#16838097—21no—
44#16838096C2211yescharacteristic, complemented
45#16838081—21no—
46#16838079—21no—
47#16838079—21no—
48#16838077—21no—
49#16838049C2211yescharacteristic, complemented
50#16838048C2211yescharacteristic
51#16838047—21no—
52#16838043C2211yescharacteristic
53#16838043C2211yescharacteristic, complemented
54#16838041—21no—
55D4×D236C2211yescharacteristic, complemented
56#16838036C2211yescharacteristic, complemented
57#16837953C2211yescharacteristic, complemented
58#16837947C2211yescharacteristic, complemented
59#16837938C2211yescharacteristic, complemented
60#16837938C2211yescharacteristic, complemented
61#16837937—21no—
62#16837937C2211yescharacteristic, complemented
63#16837935—21no—
64#16837933C2211yescharacteristic, complemented
65#16837915—21no—
66#16837915—21no—
67#16837912—21no—
68#16837910—21no—
69C4×#11745689C2211yescharacteristic, complemented
70#16837870C2211yescharacteristic, complemented
71C4×#11745687C2211yescharacteristic
72C2×#14273689C2211yescharacteristic, complemented
73C2×#14273689C2211yescharacteristic, complemented
74C2×#14273689C2211yescharacteristic, complemented
75C4×D4×D59—21no—
76C4×D4×D59—21no—
77C4×D4×D59C2211yescharacteristic, complemented
78#16837810C2211yescharacteristic, complemented
79#16837802C2211yescharacteristic, complemented
80#16837791C2211yescharacteristic, complemented
81#16837788C2211yescharacteristic, complemented
82#16837783C2211yescharacteristic, complemented
83#16837768C2211yescharacteristic, complemented
84#16837765C2211yescharacteristic, complemented
85#16837764C2211yescharacteristic, complemented
86#16837763C2211yescharacteristic, complemented
87#16837758C2211yescharacteristic, complemented
88#16837755C2211yescharacteristic, complemented
89#16837745C2211yescharacteristic, complemented
90#16837737C2211yescharacteristic, complemented
91#16837728C2211yescharacteristic, complemented
92#16837726C2211yescharacteristic, complemented
93#16837720C2211yescharacteristic, complemented
94#16837717C2211yescharacteristic, complemented
95#16837717C2211yescharacteristic, complemented
96#16837715C2211yescharacteristic, complemented
97#16837708C2211yescharacteristic, complemented
98#16837705C2211yescharacteristic, complemented
99#16837705C2211yescharacteristic, complemented
100#16837701C2211yescharacteristic, complemented
101#16837701C2211yescharacteristic, complemented
102#16837701C2211yescharacteristic, complemented
103#16837699C2211yescharacteristic, complemented
104#16837681C2211yescharacteristic, complemented
105#16837681C2211yescharacteristic, complemented
106#16837679C2211yescharacteristic, complemented
107#16837656C2211yescharacteristic, complemented
108#16837656C2211yescharacteristic, complemented
109#16837655C2211yescharacteristic, complemented
110#16837653C2211yescharacteristic, complemented
111#16837650C2211yescharacteristic, complemented
112#16837649C2211yescharacteristic, complemented
113#16837649C2211yescharacteristic, complemented
114#16837641C2211yescharacteristic, complemented
115#16837636C2211yescharacteristic
116#16837631C2211yescharacteristic, complemented
117#16837627C2211yescharacteristic, complemented
118#16837624C2211yescharacteristic, complemented
119#16837620C2211yescharacteristic, complemented
120#16837620C2211yescharacteristic, complemented
121#16837620C2211yescharacteristic, complemented
122#16837618C2211yescharacteristic, complemented
123#16837616C2211yescharacteristic, complemented
124#16837616C2211yescharacteristic, complemented
125#16837598C2211yescharacteristic
126#16837597C2211yescharacteristic, complemented
127#16837596C2211yescharacteristic
128#16837596C2211yescharacteristic, complemented
129#16837567C2211yescharacteristic, complemented
130#16837562C2211yescharacteristic, complemented
131#16837555C2211yescharacteristic, complemented
132#16837552C2211yescharacteristic, complemented
133#16837550C2211yescharacteristic
134#16837549C2211yescharacteristic
135#16837538C2211yescharacteristic
136#16837538C2211yescharacteristic, complemented
137#16837537C2211yescharacteristic, complemented
138#16837537C2211yescharacteristic, complemented
139#16837535C2211yescharacteristic
140#16837535C2211yescharacteristic, complemented
141#16837531C2211yescharacteristic, complemented
142#16837530C2211yescharacteristic, complemented
143#16837515C2211yescharacteristic
144#16837513C2211yescharacteristic
145#16837513C2211yescharacteristic, complemented
146#16837512C2211yescharacteristic, complemented
147#16837501C2211yescharacteristic, complemented
148#16837501C2211yescharacteristic, complemented
149#16837500C2211yescharacteristic, complemented
150#16837494C2211yescharacteristic, complemented
151SD16×Dic59C2211yescharacteristic, complemented
152#16837489C2211yescharacteristic, complemented
153#16837489C2211yescharacteristic, complemented
154#16837489C2211yescharacteristic, complemented
155#16837487C2211yescharacteristic, complemented
156#16837487C2211yescharacteristic, complemented
157#16837484C2211yescharacteristic
158#16837484C2211yescharacteristic
159#16837484C2211yescharacteristic, complemented
160#16837484C2211yescharacteristic, complemented
161#16837484C2211yescharacteristic, complemented
162#16837484C2211yescharacteristic, complemented
163#16837484C2211yescharacteristic, complemented
164#16837484C2211yescharacteristic, complemented
165#16837484C2211yescharacteristic, complemented
166#16837484C2211yescharacteristic, complemented
167#16837482C2211yescharacteristic, complemented
168#16837482C2211yescharacteristic, complemented
169#16837482C2211yescharacteristic, complemented
170#16837478C2211yescharacteristic, complemented
171#16837477C2211yescharacteristic, complemented
172#16837474C2211yescharacteristic, complemented
173#16837473C2211yescharacteristic, complemented
174#16837470C2211yescharacteristic, complemented
175#16837454C2211yescharacteristic, complemented
176#16837452C2211yescharacteristic, complemented
177#16837452C2211yescharacteristic, complemented
178#16837443C2211yescharacteristic, complemented
179#16837406C2211yescharacteristic, complemented
180#16837405C2211yescharacteristic, complemented
181#16837402C2211yescharacteristic, complemented
182#16837401C2211yescharacteristic, complemented
183C2×#14273647C2211yescharacteristic, complemented
184C2×#14273647C2211yescharacteristic, complemented
185#16837354C2211yescharacteristic, complemented
186M16×Dic59C2211yescharacteristic, complemented
187C2×C8×Dic59C2211yescharacteristic, complemented
188C59×#554C2211yescharacteristic, complemented
189C59×#553C2211yescharacteristic
190C59×#501C2211yescharacteristic, complemented
191C59×#485C2211yescharacteristic, complemented
192C59×#484C2211yescharacteristic, complemented
193C59×#481C2211yescharacteristic, complemented
194C59×#480C2211yescharacteristic, complemented
195C59×#479C2211yescharacteristic, complemented
196C59×#474C2211yescharacteristic, complemented
197C59×#468C2211yescharacteristic, complemented
198C59×#465C2211yescharacteristic, complemented
199C59×#440C2211yescharacteristic, complemented
200C59×#435C2211yescharacteristic, complemented
201C59×#428C2211yescharacteristic, complemented
202C2×#107×C59C2211yescharacteristic, complemented
203C2×#11745689—21no—
204C2×#11745689C2311yescharacteristic
205C2×#11745685C2311yescharacteristic
206C2×#11745687—21no—
207C2×#11745687D411yescharacteristic
208C22×D236C2311yescharacteristic
209C22×D236C2311yescharacteristic
210C22×D236C2311yescharacteristic
211C2×D4×D59—21no—
212C2×D4×D59—21no—
213C2×D4×D59C2311yescharacteristic
214C22×C4×D59—21no—
215C22×C4×D59—21no—
216C22×C4×D59—21no—
217C22×C4×D59—21no—
218#14273755—24no—
219#14273754—24no—
220C2×#11745672C2311yescharacteristic
221C2×#11745660C2311yescharacteristic
222C2×#11745660C2311yescharacteristic
223C2×#11745660C2311yescharacteristic
224C2×#11745671C2311yescharacteristic
225C2×#11745671C2311yescharacteristic
226C2×D472—24no—
227C2×D472C2311yescharacteristic
228C2×D472C2311yescharacteristic
229C2×D472C2311yescharacteristic
230C2×D472C2311yescharacteristic
231C2×D472C2311yescharacteristic
232C2×D472C2311yescharacteristic
233C2×#11745669C2311yescharacteristic
234C2×#11745669C2311yescharacteristic
235C2×#11745669C2311yescharacteristic
236C2×#11745664C2311yescharacteristic
237C2×#11745659C2311yescharacteristic
238C2×#11745659C2311yescharacteristic
239C22×C59⋊C8C2311yescharacteristic
240#14273726C2311yescharacteristic
241#14273724C2311yescharacteristic
242#14273723C2311yescharacteristic
243#14273722—21no—
244#14273722—21no—
245#14273722—21no—
246#14273722—21no—
247#14273722—21no—
248#14273721—21no—
249#14273720—21no—
250#14273718C2311yescharacteristic
251#14273718C2311yescharacteristic
252#14273718C2311yescharacteristic
253#14273717—21no—
254#14273716—21no—
255#14273716C2311yescharacteristic
256#14273716C2311yescharacteristic
257#14273715—21no—
258#14273715C2311yescharacteristic
259#14273714C2311yescharacteristic
260#14273713—21no—
261#14273713—21no—
262#14273712—21no—
263#14273712—21no—
264#14273712—21no—
265#14273712—21no—
266#14273712—21no—
267#14273712—21no—
268#14273712—21no—
269#14273712—21no—
270#14273711—21no—
271#14273711—21no—
272#14273710—21no—
273#14273709—21no—
274#14273709—21no—
275#14273709—21no—
276#14273708—21no—
277#14273707—21no—
278#14273707—21no—
279#14273707C2311yescharacteristic
280#14273706—21no—
281#14273706C2311yescharacteristic
282#14273705—21no—
283#14273705—21no—
284#14273705—21no—
285#14273703—21no—
286#14273703—21no—
287#14273702—21no—
288#14273702—21no—
289#14273702—21no—
290#14273702—21no—
291#14273702C2311yescharacteristic
292#14273702C2311yescharacteristic
293#14273702C2311yescharacteristic
294#14273701—21no—
295#14273701—21no—
296#14273701C2311yescharacteristic
297#14273701C2311yescharacteristic
298#14273701C2311yescharacteristic
299#14273700—21no—
300#14273700—21no—
301#14273700—21no—
302#14273699—21no—
303#14273698—21no—
304#14273697—21no—
305#14273697—21no—
306#14273697—21no—
307#14273697—21no—
308#14273697—21no—
309#14273695—21no—
310#14273695—21no—
311#14273695—21no—
312Q8×Dic59C2311yescharacteristic
313C4×Dic118C2311yescharacteristic
314#14273692D411yescharacteristic
315#14273692C2311yescharacteristic
316#14273692C2311yescharacteristic
317C4×D236—21no—
318C4×D236—21no—
319C4×D236—21no—
320C4×D236C2311yescharacteristic
321C4×D236C2311yescharacteristic
322D4×Dic59—21no—
323D4×Dic59D411yescharacteristic
324D4×Dic59C2311yescharacteristic
325#14273689—21no—
326#14273689—21no—
327#14273689—21no—
328#14273689—21no—
329#14273689—21no—
330#14273689—21no—
331#14273689—21no—
332#14273689—21no—
333#14273689—21no—
334#14273689C2311yescharacteristic
335#14273689C2311yescharacteristic
336#14273689C2311yescharacteristic
337#14273689C2311yescharacteristic
338#14273689C2311yescharacteristic
339#14273689C2311yescharacteristic
340#14273689C2311yescharacteristic
341#14273689C2311yescharacteristic
342#14273689C2311yescharacteristic
343#14273689C2311yescharacteristic
344#14273689C2311yescharacteristic
345#14273689C2311yescharacteristic
346C4×C22⋊D59—21no—
347C4×C22⋊D59—21no—
348C4×C22⋊D59—21no—
349C4×C22⋊D59—21no—
350C4×C22⋊D59—21no—
351C4×C22⋊D59C2311yescharacteristic
352C4×C22⋊D59C2311yescharacteristic
353(C22⋊D59)⋊C4—21no—
354(C22⋊D59)⋊C4—21no—
355(C22⋊D59)⋊C4—21no—
356(C22⋊D59)⋊C4—21no—
357(C22⋊D59)⋊C4—21no—
358(C22⋊D59)⋊C4—21no—
359(C22⋊D59)⋊C4D411yescharacteristic
360(C22⋊D59)⋊C4D411yescharacteristic
361#14273685—21no—
362#14273685—21no—
363#14273685—21no—
364#14273685—21no—
365#14273685D411yescharacteristic
366#14273685C2311yescharacteristic
367#14273684—21no—
368#14273683—21no—
369#14273683D411yescharacteristic
370#14273683D411yescharacteristic
371C4⋊C4×D59—21no—
372C4⋊C4×D59—21no—
373C4⋊C4×D59C2311yescharacteristic
374C2×(C2×D59)⋊C4—21no—
375C2×(C2×D59)⋊C4—21no—
376C2×(C2×D59)⋊C4—21no—
377C22⋊C4×D59—21no—
378C22⋊C4×D59—21no—
379C22⋊C4×D59—21no—
380C22⋊C4×D59—21no—
381C22⋊C4×D59—21no—
382C2×C4×Dic59C2311yescharacteristic
383C2×C4×Dic59C2311yescharacteristic
384C42×D59—21no—
385C42×D59—21no—
386C42×D59C2311yescharacteristic
387#14273660C2311yescharacteristic
388#14273660C2311yescharacteristic
389#14273660C2311yescharacteristic
390#14273660C2311yescharacteristic
391#14273659C2311yescharacteristic
392#14273658C2311yescharacteristic
393#14273658C2311yescharacteristic
394C4⋊(C59⋊C8)C2311yescharacteristic
395Dic59⋊C8C2311yescharacteristic
396Dic59⋊C8C2311yescharacteristic
397Dic59⋊C8C2311yescharacteristic
398Dic59⋊C8C2311yescharacteristic
399#14273652C2311yescharacteristic
400#14273651C2311yescharacteristic
401#14273650C2311yescharacteristic
402#14273650C2311yescharacteristic
403#14273650C2311yescharacteristic
404#14273649C2311yescharacteristic
405#14273649C2311yescharacteristic
406#14273649C2311yescharacteristic
407#14273649C2311yescharacteristic
408#14273649C2311yescharacteristic
409#14273648C2311yescharacteristic
410#14273647C2311yescharacteristic
411#14273647C2311yescharacteristic
412#14273647C2311yescharacteristic
413#14273647C2311yescharacteristic
414#14273647C2311yescharacteristic
415#14273647C2311yescharacteristic
416#14273647C2311yescharacteristic
417#14273647C2311yescharacteristic
418#14273647C2311yescharacteristic
419#14273647C2311yescharacteristic
420#14273647C2311yescharacteristic
421#14273647C2311yescharacteristic
422#14273647C2311yescharacteristic
423#14273647C2311yescharacteristic
424#14273647C2311yescharacteristic
425C22⋊(C59⋊C8)C2311yescharacteristic
426C22⋊(C59⋊C8)C2311yescharacteristic
427(C2×D59)⋊C8C2311yescharacteristic
428(C2×D59)⋊C8C2311yescharacteristic
429#14273638C2311yescharacteristic
430#14273637C2311yescharacteristic
431#14273637C2311yescharacteristic
432C8×Dic59C2311yescharacteristic
433C8×Dic59C2311yescharacteristic
434C8×Dic59C2311yescharacteristic
435C8×Dic59C2311yescharacteristic
436C8×Dic59C2311yescharacteristic
437C8×Dic59C2311yescharacteristic
438C2×SD16×C59C2311yescharacteristic
439C2×M16×C59C2311yescharacteristic
440C22×C8×C59C2311yescharacteristic
441C4⋊Q8×C59C2311yescharacteristic
442#126×C59—21no—
443#125×C59—21no—
444#125×C59C2311yescharacteristic
445#123×C59—21no—
446C22⋊Q8×C59—21no—
447C22⋊Q8×C59—21no—
448C22⋊Q8×C59C2311yescharacteristic
449C22⋊Q8×C59C2311yescharacteristic
450#121×C59—21no—
451#121×C59C2311yescharacteristic
452#121×C59C2311yescharacteristic
453C4×Q8×C59C2311yescharacteristic
454C4×D4×C59—21no—
455C4×D4×C59—21no—
456C4×D4×C59C2311yescharacteristic
457C4×D4×C59C2311yescharacteristic
458#117×C59C2311yescharacteristic
459C2×C4⋊C4×C59C2311yescharacteristic
460C2×C4⋊C4×C59C2311yescharacteristic
461C2×C4⋊C4×C59C2311yescharacteristic
462#107×C59C2311yescharacteristic
463#107×C59C2311yescharacteristic
464#107×C59C2311yescharacteristic
465#107×C59C2311yescharacteristic
466#107×C59C2311yescharacteristic
467#107×C59C2311yescharacteristic
468#106×C59C2311yescharacteristic
469#106×C59C2311yescharacteristic
470#106×C59C2311yescharacteristic
471C4⋊C8×C59C2311yescharacteristic
472#103×C59C2311yescharacteristic
473#103×C59C2311yescharacteristic
474#103×C59C2311yescharacteristic
475#102×C59C2311yescharacteristic
476#102×C59C2311yescharacteristic
477#102×C59C2311yescharacteristic
478C22⋊C8×C59C2311yescharacteristic
479C22⋊C8×C59C2311yescharacteristic
480#97×C59C2311yescharacteristic
481C23×D59—21no—
482C23×D59—21no—
483C23×D59—21no—
484C23×D59—21no—
485C2×Q8×C59—21no—
486C2×Q8×C59C2411yescharacteristic
487C2×D4×C59—21no—
488C2×D4×C59—21no—
489C2×D4×C59C2×D411yescharacteristic
490C2×D4×C59C2411yescharacteristic
491C22×C4×C59—21no—
492C22×C4×C59—21no—
493C22×C4×C59—21no—
494C22×C4×C59—21no—
495C22×C4×C59C2411yescharacteristic
496C22×C4×C59C2411yescharacteristic
497C2×C22⋊D59—21no—
498C2×C22⋊D59—21no—
499C2×C22⋊D59—21no—
500C2×C22⋊D59—21no—
501C2×C22⋊D59—21no—
502C2×C22⋊D59—21no—
503C2×C22⋊D59—21no—
504C2×C22⋊D59C2×D411yescharacteristic
505C2×C22⋊D59C2×D411yescharacteristic
506C22×Dic59—21no—
507C22×Dic59C2×D411yescharacteristic
508C22×Dic59C2×D411yescharacteristic
509C22×Dic59C2×D411yescharacteristic
510C22×Dic59C2×D411yescharacteristic
511#11745689—22no—
512#11745689—41no—
513#11745689—82no—
514#11745687—42no—
515#11745687—82no—
516D4×D59—22no—
517D4×D59—41no—
518D4×D59—44no—
519D4×D59—44no—
520#11745685—22no—
521#11745685—41no—
522C2×D236—22no—
523C2×D236—22no—
524C2×D236—22no—
525C2×D236—21no—
526C2×D236—21no—
527C2×D236—21no—
528C2×D236—21no—
529C2×D236—21no—
530C2×D236—21no—
531C2×D236—21no—
532C2×D236—21no—
533C2×D236—21no—
534C2×D236—41no—
535C2×D236—41no—
536C2×D236—41no—
537C2×D236C2411yescharacteristic
538C2×D236C2411yescharacteristic
539C2×D236C2411yescharacteristic
540C2×D236C2411yescharacteristic
541C2×D236C2411yescharacteristic
542C2×C4×D59—21no—
543C2×C4×D59—21no—
544C2×C4×D59—21no—
545C2×C4×D59—21no—
546C2×C4×D59—21no—
547C2×C4×D59—21no—
548C2×C4×D59—21no—
549C2×C4×D59—21no—
550C2×C4×D59—21no—
551C2×C4×D59—21no—
552C2×C4×D59—21no—
553C2×C4×D59—21no—
554C2×C4×D59—21no—
555C2×C4×D59—21no—
556C2×C4×D59—21no—
557C2×C4×D59—21no—
558C2×C4×D59—21no—
559C2×C4×D59—82no—
560C2×C4×D59—82no—
561C2×C4×D59—82no—
562C2×C4×D59—82no—
563C2×C4×D59C2×D411yescharacteristic
564C2×C4×D59C2×D411yescharacteristic
565C2×C4×D59C2411yescharacteristic
566C2×Dic118—21no—
567C2×Dic118C2×D411yescharacteristic
568C2×Dic118C2411yescharacteristic
569SD16×C59—22no—
570M16×C59—22no—
571C2×C8×C59—22no—
572C2×C8×C59C2411yescharacteristic
573C2×C8×C59C2411yescharacteristic
574C2×C8×C59C2411yescharacteristic
575C2×C8×C59C2411yescharacteristic
576C4⋊C4×C59—21no—
577C4⋊C4×C59—21no—
578C4⋊C4×C59—21no—
579C4⋊C4×C59—21no—
580C4⋊C4×C59—21no—
581C4⋊C4×C59—21no—
582C4⋊C4×C59—21no—
583C4⋊C4×C59—21no—
584C4⋊C4×C59—21no—
585C4⋊C4×C59C2×D411yescharacteristic
586C4⋊C4×C59C2411yescharacteristic
587C4⋊C4×C59C2411yescharacteristic
588C4⋊C4×C59C2411yescharacteristic
589C4⋊C4×C59C2411yescharacteristic
590C4⋊C4×C59C2411yescharacteristic
591C4⋊C4×C59C2411yescharacteristic
592C22⋊C4×C59—21no—
593C22⋊C4×C59—21no—
594C22⋊C4×C59—21no—
595C22⋊C4×C59—21no—
596C22⋊C4×C59—21no—
597C22⋊C4×C59—21no—
598C22⋊C4×C59C2×D411yescharacteristic
599C22⋊C4×C59C2×D411yescharacteristic
600C42×C59—21no—
601C42×C59—21no—
602C42×C59C2411yescharacteristic
603C22⋊Dic59—21no—
604C22⋊Dic59—21no—
605C22⋊Dic59—21no—
606C22⋊Dic59—21no—
607C22⋊Dic59C2×D411yescharacteristic
608C22⋊Dic59C2×D411yescharacteristic
609#11745672—41no—
610#11745671—22no—
611#11745671—41no—
612#11745669—22no—
613#11745669—41no—
614#11745669—41no—
615(C2×D59)⋊C4—21no—
616(C2×D59)⋊C4—21no—
617(C2×D59)⋊C4—21no—
618(C2×D59)⋊C4—21no—
619(C2×D59)⋊C4—21no—
620(C2×D59)⋊C4—21no—
621(C2×D59)⋊C4—21no—
622(C2×D59)⋊C4—21no—
623(C2×D59)⋊C4—21no—
624(C2×D59)⋊C4—21no—
625(C2×D59)⋊C4—21no—
626(C2×D59)⋊C4—21no—
627(C2×D59)⋊C4—21no—
628(C2×D59)⋊C4—21no—
629(C2×D59)⋊C4—21no—
630(C2×D59)⋊C4—21no—
631(C2×D59)⋊C4—21no—
632(C2×D59)⋊C4—21no—
633(C2×D59)⋊C4—21no—
634(C2×D59)⋊C4—21no—
635(C2×D59)⋊C4—21no—
636(C2×D59)⋊C4—21no—
637(C2×D59)⋊C4—21no—
638(C2×D59)⋊C4—21no—
639(C2×D59)⋊C4—21no—
640(C2×D59)⋊C4—21no—
641(C2×D59)⋊C4—21no—
642(C2×D59)⋊C4—21no—
643(C2×D59)⋊C4C2×D411yescharacteristic
644(C2×D59)⋊C4C2×D411yescharacteristic
645C4⋊Dic59—21no—
646C4⋊Dic59—21no—
647C4⋊Dic59—21no—
648C4⋊Dic59—21no—
649C4⋊Dic59—21no—
650C4⋊Dic59C2×D411yescharacteristic
651C4⋊Dic59C2411yescharacteristic
652C4⋊Dic59C2411yescharacteristic
653Dic59⋊C4—21no—
654Dic59⋊C4—21no—
655Dic59⋊C4—21no—
656Dic59⋊C4—21no—
657Dic59⋊C4—21no—
658Dic59⋊C4—21no—
659Dic59⋊C4—21no—
660Dic59⋊C4—21no—
661Dic59⋊C4C2×D411yescharacteristic
662Dic59⋊C4C2×D411yescharacteristic
663Dic59⋊C4C2×D411yescharacteristic
664Dic59⋊C4C2×D411yescharacteristic
665C4×Dic59—21no—
666C4×Dic59—21no—
667C4×Dic59—21no—
668C4×Dic59—21no—
669C4×Dic59C2×D411yescharacteristic
670C4×Dic59C2×D411yescharacteristic
671C4×Dic59C2×D411yescharacteristic
672C4×Dic59C2×D411yescharacteristic
673C4×Dic59C2×D411yescharacteristic
674C4×Dic59C2×D411yescharacteristic
675C4×Dic59C2411yescharacteristic
676C4×Dic59C2411yescharacteristic
677C4×Dic59C2411yescharacteristic
678#11745664—41no—
679C2×C59⋊C8—41no—
680C2×C59⋊C8C2411yescharacteristic
681C2×C59⋊C8C2411yescharacteristic
682C2×C59⋊C8C2411yescharacteristic
683C2×C59⋊C8C2411yescharacteristic
684D472—22no—
685D472—22no—
686D472—22no—
687D472—22no—
688D472—41no—
689D472#4114yescomplemented
690#11745660—22no—
691#11745660—22no—
692#11745660—41no—
693#11745659—22no—
694#11745659—41no—
695C23×C59—21no—
696C23×C59C22×D411yescharacteristic
697C23×C59C22×D411yescharacteristic
698C22×D59—21no—
699C22×D59—21no—
700C22×D59—21no—
701C22×D59—21no—
702C22×D59—21no—
703C22×D59—42no—
704C22×D59—42no—
705C22×D59—42no—
706C22×D59—42no—
707C22×D59—42no—
708C22×D59—42no—
709C22×D59—42no—
710C22×D59—42no—
711C22×D59—81no—
712C22×D59—81no—
713C22×D59—81no—
714C22×D59—81no—
715C22×D59C22×D411yescharacteristic
716Q8×C59—21no—
717Q8×C59—21no—
718Q8×C59—81no—
719D4×C59—22no—
720D4×C59—21no—
721D4×C59—21no—
722D4×C59—42no—
723D4×C59—81no—
724C2×C4×C59—21no—
725C2×C4×C59—21no—
726C2×C4×C59—21no—
727C2×C4×C59—21no—
728C2×C4×C59—21no—
729C2×C4×C59—21no—
730C2×C4×C59—21no—
731C2×C4×C59—21no—
732C2×C4×C59—21no—
733C2×C4×C59—21no—
734C2×C4×C59—21no—
735C2×C4×C59—81no—
736C2×C4×C59—81no—
737C2×C4×C59—81no—
738C2×C4×C59—81no—
739C2×C4×C59C22×D411yescharacteristic
740C2×C4×C59C22×D411yescharacteristic
741C2×C4×C59C22×D411yescharacteristic
742C2×C4×C59C22×D411yescharacteristic
743C2×C4×C59C2511yescharacteristic
744C22⋊D59—22no—
745C22⋊D59—41no—
746C22⋊D59—42no—
747C22⋊D59—42no—
748C22⋊D59—42no—
749C22⋊D59—42no—
750C22⋊D59—42no—
751C22⋊D59—81no—
752C22⋊D59—81no—
753C2×Dic59—22no—
754C2×Dic59—22no—
755C2×Dic59—22no—
756C2×Dic59—21no—
757C2×Dic59—21no—
758C2×Dic59—21no—
759C2×Dic59—41no—
760C2×Dic59—42no—
761C2×Dic59C22×D411yescharacteristic
762C2×Dic59C22×D411yescharacteristic
763C2×Dic59C22×D411yescharacteristic
764C2×Dic59C22×D411yescharacteristic
765C2×Dic59C22×D411yescharacteristic
766C2×Dic59C22×D411yescharacteristic
767C2×Dic59C22×D411yescharacteristic
768D236—21no—
769D236—21no—
770D236—21no—
771D236—21no—
772D236—21no—
773D236—21no—
774D236—21no—
775D236—21no—
776D236—42no—
777D236—42no—
778D236—42no—
779D236—42no—
780D236—42no—
781D236—42no—
782D236—81no—
783D236—81no—
784D236—81no—
785D236C2×#4112yes—
786D236C2×#4112yes—
787C4×D59—21no—
788C4×D59—21no—
789C4×D59—22no—
790C4×D59—41no—
791C4×D59—42no—
792C4×D59—42no—
793C4×D59—42no—
794C4×D59—42no—
795C4×D59—42no—
796C4×D59—42no—
797C4×D59—42no—
798C4×D59—42no—
799C4×D59—42no—
800C4×D59—81no—
801C4×D59—81no—
802C4×D59—81no—
803C4×D59—81no—
804C4×D59—81no—
805C4×D59—81no—
806C4×D59—81no—
807C4×D59—81no—
808Dic118—21no—
809Dic118—21no—
810Dic118—41no—
811Dic118—81no—
812C8×C59—21no—
813C8×C59—21no—
814C8×C59—21no—
815C8×C59C2×#4112yes—
816C59⋊C8—21no—
817C59⋊C8—21no—
818C59⋊C8—21no—
819C59⋊C8—21no—
820#61444—591nomaximal, Sylow
821C22×C59—21no—
822C22×C59—21no—
823C22×C59—21no—
824C22×C59—21no—
825C22×C59—21no—
826C22×C59—41no—
827C22×C59—41no—
828C22×C59—41no—
829C22×C59#57512yes—
830C22×C59C23×D411yescharacteristic
831C2×D59—21no—
832C2×D59—22no—
833C2×D59—22no—
834C2×D59—21no—
835C2×D59—21no—
836C2×D59—41no—
837C2×D59—41no—
838C2×D59—41no—
839C2×D59—41no—
840C2×D59—41no—
841C2×D59—41no—
842C2×D59—41no—
843C2×D59—41no—
844C2×D59—41no—
845C2×D59—41no—
846C2×D59—41no—
847C2×D59—41no—
848C2×D59—41no—
849C2×D59—84no—
850C2×D59—84no—
851C2×D59—84no—
852C2×D59—84no—
853C4×C59—21no—
854C4×C59—21no—
855C4×C59—21no—
856C4×C59—21no—
857C4×C59—41no—
858C4×C59—41no—
859C4×C59—41no—
860C4×C59—41no—
861C4×C59—41no—
862C4×C59—41no—
863C4×C59—41no—
864C4×C59C22×#4111yescharacteristic
865C4×C59#58511yescharacteristic
866Dic59—21no—
867Dic59—21no—
868Dic59—21no—
869Dic59—21no—
870Dic59—21no—
871Dic59—21no—
872Dic59—41no—
873Dic59—41no—
874Dic59—41no—
875Dic59#57612yes—
876#3481—591no—
877#3481—591no—
878#3403—591no—
879#3389—591no—
880#3370—591no—
881#3370—591no—
882#3355—591no—
883#3346—591no—
884#3346D5911yescharacteristic, complemented
885#3322—591no—
886#3322—591no—
887#3318—591no—
888#3318—591no—
889#3314—591no—
890#3314—591no—
891#3273—591no—
892#3264—591no—
893#3264—591no—
894#3171—591no—
895#3171—591no—
896#3168—591no—
897#3105—591no—
898#3105—591no—
899#3102—591no—
900#3102—591no—
901#3100—591no—
902#3100—591no—
903#2965—591no—
904C4×AGL(1,ℤ/8)—591no—
905C4×AGL(1,ℤ/8)—591no—
906C2×C4×D8—591no—
907C2×C59—22no—
908C2×C59—41no—
909C2×C59—81no—
910C2×C59D4×#4111yescharacteristic
911C2×C59C2×#57511yescharacteristic
912C2×C59C2×#57611yescharacteristic
913D59—41no—
914D59—42no—
915D59—42no—
916D59—81no—
917D59—81no—
918D59—81no—
919C2×AGL(1,ℤ/8)—591no—
920C2×AGL(1,ℤ/8)—591no—
921C22×D8—591no—
922#559—591no—
923#559—591no—
924#554—591no—
925#554—591no—
926#554—591no—
927#554C2×D5911yescharacteristic, complemented
928#553—591no—
929#553—591no—
930#553—591no—
931#553—1181no—
932#553—1181no—
933#553C2×D5911yescharacteristic
934#551—1181no—
935#551—1181no—
936#551—1181no—
937#551—1181no—
938#546—591no—
939#546—591no—
940#546—591no—
941#546—591no—
942#546—1181no—
943#546—1181no—
944D42—591no—
945D42—591no—
946#532—591no—
947#532—591no—
948#529—591no—
949#529—591no—
950#529—591no—
951#529—591no—
952#529—1181no—
953#529—1181no—
954#525—1181no—
955#525—1181no—
956#525—1181no—
957#525—1181no—
958C4×#41—591no—
959C4×#41—591no—
960C4×#41—591no—
961C2×C4×D4—591no—
962C2×C4×D4—591no—
963C2×C4×D4—591no—
964C2×C4×D4—591no—
965C2×C4×D4—1181no—
966C2×C4×D4—1181no—
967#501—591no—
968#501C2×D5911yescharacteristic, complemented
969#499—591no—
970#496—591no—
971#496—591no—
972#495—591no—
973#490—591no—
974#490—591no—
975#489—591no—
976#489—591no—
977#488—591no—
978#488—591no—
979#485—591no—
980#485C2×D5911yescharacteristic, complemented
981#484—591no—
982#484C2×D5911yescharacteristic, complemented
983#482—591no—
984#482—591no—
985#481—591no—
986#481C2×D5911yescharacteristic, complemented
987#480—591no—
988#480—591no—
989#480—591no—
990#480C2×D5911yescharacteristic, complemented
991#479—591no—
992#479C2×D5911yescharacteristic, complemented
993#478—591no—
994#478—591no—
995#478—591no—
996#478—591no—
997#478—591no—
998#478—591no—
999#474—591no—
1000#474—591no—
1001#474—591no—
1002#474C2×D5911yescharacteristic, complemented
1003#469—591no—
1004#469—591no—
1005#469—591no—
1006#469—591no—
1007#468—591no—
1008#468—591no—
1009#468—591no—
1010#468C2×D5911yescharacteristic, complemented
1011#467—591no—
1012#466—591no—
1013#465—591no—
1014#465C2×D5911yescharacteristic, complemented
1015#464—591no—
1016#464—591no—
1017#463—591no—
1018#463—591no—
1019#463—591no—
1020#463—591no—
1021#463—591no—
1022#463—591no—
1023#459—591no—
1024#459—591no—
1025#459—591no—
1026#459—591no—
1027#452—591no—
1028#452—591no—
1029#450—591no—
1030#450—591no—
1031#449—591no—
1032#449—591no—
1033#447—591no—
1034#447—591no—
1035#447—591no—
1036#447—591no—
1037#447—591no—
1038#447—591no—
1039#446—591no—
1040#446—591no—
1041#442—591no—
1042#442—591no—
1043#442—591no—
1044#442—591no—
1045#440—591no—
1046#440—591no—
1047#440—591no—
1048#440C2×D5911yescharacteristic, complemented
1049C4×Q16—591no—
1050C4×SD16—591no—
1051C4×SD16—591no—
1052C4×SD16—591no—
1053C4×SD16—591no—
1054C4×SD16—591no—
1055C4×SD16—591no—
1056C4×D8—591no—
1057C4×D8—591no—
1058C4×D8—591no—
1059C4×D8—591no—
1060C4×D8—591no—
1061C4×D8—591no—
1062C4×D8—591no—
1063C4×D8—591no—
1064C4×D8—591no—
1065C4×D8—591no—
1066C4×D8—591no—
1067C4×D8—591no—
1068C4×D8—591no—
1069#436—591no—
1070#436—591no—
1071#435—591no—
1072#435—591no—
1073#435—591no—
1074#435C2×D5911yescharacteristic, complemented
1075#431—591no—
1076#431—591no—
1077#431—591no—
1078#428—591no—
1079#428C2×D5911yescharacteristic, complemented
1080C2×#107C2×D5911yescharacteristic, complemented
1081#418—591no—
1082#418—591no—
1083#417—591no—
1084#417—591no—
1085C2×#102—591no—
1086C2×#102—591no—
1087C4×M16—591no—
1088C4×M16—591no—
1089C2×C4×C8—591no—
1090C59#6144411yescharacteristic, complemented, Sylow
1091C2×#41—591no—
1092C2×#41—591no—
1093C2×#41—591no—
1094C2×#41—1181no—
1095C2×#41—1181no—
1096C22×D4—591no—
1097C22×D4—591no—
1098C22×D4—591no—
1099C22×D4—591no—
1100C22×D4—1181no—
1101C22×D4—1181no—
1102C23×C4—1181no—
1103C23×C4—1181no—
1104C23×C4—1181no—
1105C23×C4—1181no—
1106AGL(1,ℤ/8)—1184no—
1107AGL(1,ℤ/8)—1184no—
1108C2×Q16—591no—
1109C2×SD16—591no—
1110C2×SD16—591no—
1111C2×SD16—591no—
1112C2×SD16—591no—
1113C2×SD16—591no—
1114C2×SD16C22×D5911yescharacteristic
1115C2×D8—591no—
1116C2×D8—591no—
1117C2×D8—591no—
1118C2×D8—591no—
1119C2×D8—591no—
1120C2×D8—591no—
1121C2×D8—591no—
1122C2×D8—591no—
1123C2×D8—591no—
1124C2×D8—1184no—
1125C2×M16—591no—
1126C2×M16—591no—
1127C2×M16—591no—
1128C2×M16C22×D5911yescharacteristic
1129C22×C8—591no—
1130C22×C8C22×D5911yescharacteristic
1131C4⋊Q8—591no—
1132C4⋊Q8C22×D5911yescharacteristic
1133#127—591no—
1134#127—591no—
1135#126—21no—
1136#126—1181no—
1137#126—1181no—
1138#126—1181no—
1139#126—1181no—
1140#126—1181no—
1141#126—1181no—
1142#126—1181no—
1143#125—21no—
1144#125—591no—
1145#125—591no—
1146#125—591no—
1147#125—1181no—
1148#125C22×D5911yescharacteristic
1149#124—591no—
1150#124—591no—
1151#124—591no—
1152#124—591no—
1153#124—1181no—
1154#124—1181no—
1155#124—1181no—
1156#124—1181no—
1157#123—21no—
1158#123—1181no—
1159#123—1181no—
1160#123—1181no—
1161#123—1181no—
1162#123—1181no—
1163#123—1181no—
1164#123—1181no—
1165#123—1181no—
1166#123—1181no—
1167#123—1181no—
1168#123—1181no—
1169#123—1181no—
1170#123—1181no—
1171#123—1181no—
1172#123—1181no—
1173C22⋊Q8—21no—
1174C22⋊Q8—21no—
1175C22⋊Q8—591no—
1176C22⋊Q8—591no—
1177C22⋊Q8—1181no—
1178C22⋊Q8—1181no—
1179C22⋊Q8—1181no—
1180C22⋊Q8—1181no—
1181C22⋊Q8—1181no—
1182C22⋊Q8—1181no—
1183C22⋊Q8—1181no—
1184C22⋊Q8—1181no—
1185C22⋊Q8C22×D5911yescharacteristic
1186C22⋊Q8C22×D5911yescharacteristic
1187#121—21no—
1188#121—591no—
1189#121—591no—
1190#121—591no—
1191#121—591no—
1192#121—591no—
1193#121—591no—
1194#121—1181no—
1195#121—1181no—
1196#121—1181no—
1197#121—1181no—
1198#121—1181no—
1199#121—1181no—
1200#121—1181no—
1201#121—1181no—
1202#121—1181no—
1203#121—1181no—
1204#121—1181no—
1205#121C22×D5911yescharacteristic
1206#121C22×D5911yescharacteristic
1207#120—1181no—
1208#120—1181no—
1209#120—1181no—
1210#120—1181no—
1211#120—1181no—
1212#120—1181no—
1213#120—1181no—
1214#120—1181no—
1215C4×Q8—591no—
1216C4×Q8—591no—
1217C4×Q8—591no—
1218C4×Q8—591no—
1219C4×Q8—591no—
1220C4×Q8C22×D5911yescharacteristic
1221C4×D4—21no—
1222C4×D4—21no—
1223C4×D4—591no—
1224C4×D4—591no—
1225C4×D4—591no—
1226C4×D4—591no—
1227C4×D4—591no—
1228C4×D4—591no—
1229C4×D4—591no—
1230C4×D4—591no—
1231C4×D4—591no—
1232C4×D4—591no—
1233C4×D4—591no—
1234C4×D4—591no—
1235C4×D4—591no—
1236C4×D4—591no—
1237C4×D4—591no—
1238C4×D4—591no—
1239C4×D4—591no—
1240C4×D4—591no—
1241C4×D4—591no—
1242C4×D4—591no—
1243C4×D4—1181no—
1244C4×D4—1181no—
1245C4×D4—1181no—
1246C4×D4—1181no—
1247C4×D4—1181no—
1248C4×D4—1181no—
1249C4×D4—1181no—
1250C4×D4—1181no—
1251C4×D4—1181no—
1252C4×D4—1181no—
1253C4×D4—1181no—
1254C4×D4—1181no—
1255C4×D4—1181no—
1256C4×D4—1181no—
1257C4×D4—1181no—
1258C4×D4—1181no—
1259C4×D4—1181no—
1260C4×D4—1181no—
1261C4×D4—1181no—
1262C4×D4—1181no—
1263C4×D4—1181no—
1264C4×D4—1181no—
1265C4×D4—1181no—
1266C4×D4—1181no—
1267C4×D4C22×D5911yescharacteristic
1268C4×D4C22×D5911yescharacteristic
1269#117—591no—
1270#117—591no—
1271#117—591no—
1272#117—591no—
1273#117—1181no—
1274#117—1181no—
1275#117—1181no—
1276#117—1181no—
1277#117—1181no—
1278#117—1181no—
1279#117C22×D5911yescharacteristic
1280C2×C4⋊C4—591no—
1281C2×C4⋊C4—1181no—
1282C2×C4⋊C4—1181no—
1283C2×C4⋊C4C22×D5911yescharacteristic
1284C2×C4⋊C4C22×D5911yescharacteristic
1285C2×C4⋊C4C22×D5911yescharacteristic
1286C2×C22⋊C4—1181no—
1287C2×C22⋊C4—1181no—
1288C2×C22⋊C4—1181no—
1289C2×C22⋊C4—1181no—
1290C2×C22⋊C4—1181no—
1291C2×C22⋊C4—1181no—
1292C2×C22⋊C4—1181no—
1293C2×C22⋊C4—1181no—
1294C2×C42—591no—
1295C2×C42—591no—
1296C2×C42—591no—
1297C2×C42—1181no—
1298C2×C42—1181no—
1299#107—591no—
1300#107—591no—
1301#107—591no—
1302#107—591no—
1303#107C22×D5911yescharacteristic
1304#107C22×D5911yescharacteristic
1305#107C22×D5911yescharacteristic
1306#107C22×D5911yescharacteristic
1307#107C22×D5911yescharacteristic
1308#107C22×D5911yescharacteristic
1309#106—591no—
1310#106—591no—
1311#106—591no—
1312#106C22×D5911yescharacteristic
1313#106C22×D5911yescharacteristic
1314#106C22×D5911yescharacteristic
1315C4⋊C8—591no—
1316C4⋊C8—591no—
1317C4⋊C8—591no—
1318C4⋊C8—591no—
1319C4⋊C8—591no—
1320C4⋊C8C22×D5911yescharacteristic
1321#103—591no—
1322#103—591no—
1323#103—591no—
1324#103—591no—
1325#103—591no—
1326#103C22×D5911yescharacteristic
1327#103C22×D5911yescharacteristic
1328#103C22×D5911yescharacteristic
1329#102—591no—
1330#102—591no—
1331#102—591no—
1332#102—591no—
1333#102—591no—
1334#102—591no—
1335#102—591no—
1336#102—591no—
1337#102—591no—
1338#102—591no—
1339#102—591no—
1340#102—591no—
1341#102—591no—
1342#102—591no—
1343#102—591no—
1344#102—591no—
1345#102—591no—
1346#102—591no—
1347#102—591no—
1348#102—591no—
1349#102—591no—
1350#102C22×D5911yescharacteristic
1351#102C22×D5911yescharacteristic
1352#102C22×D5911yescharacteristic
1353C22⋊C8—591no—
1354C22⋊C8—591no—
1355C22⋊C8—591no—
1356C22⋊C8—591no—
1357C22⋊C8C22×D5911yescharacteristic
1358C22⋊C8C22×D5911yescharacteristic
1359#97—591no—
1360#97—591no—
1361#97—591no—
1362#97C22×D5911yescharacteristic
1363C4×C8—591no—
1364C4×C8—591no—
1365C4×C8—591no—
1366C4×C8—591no—
1367C4×C8—591no—
1368C4×C8—591no—
1369C24—1181no—
1370C24—1181no—
1371C24—1181no—
1372C24—1181no—
1373#41—1182no—
1374#41—1182no—
1375#41—4722no—
1376#41—4722no—
1377#41—2361no—
1378#41—2362no—
1379#41—2361no—
1380C2×Q8—21no—
1381C2×Q8—591no—
1382C2×Q8—591no—
1383C2×Q8—1181no—
1384C2×Q8C23×D5911yescharacteristic
1385C2×D4—21no—
1386C2×D4—21no—
1387C2×D4—591no—
1388C2×D4—591no—
1389C2×D4—591no—
1390C2×D4—591no—
1391C2×D4—591no—
1392C2×D4—591no—
1393C2×D4—591no—
1394C2×D4—1182no—
1395C2×D4—1182no—
1396C2×D4—1182no—
1397C2×D4—1181no—
1398C2×D4—1181no—
1399C2×D4—1181no—
1400C2×D4—1181no—
1401C2×D4—1181no—
1402C2×D4—1181no—
1403C2×D4—1181no—
1404C2×D4—1182no—
1405C2×D4—1181no—
1406C2×D4—1181no—
1407C2×D4—1181no—
1408C2×D4—1181no—
1409C2×D4—1181no—
1410C2×D4—1181no—
1411C2×D4—1181no—
1412C2×D4—1181no—
1413C2×D4—1181no—
1414C2×D4—2361no—
1415C2×D4—2361no—
1416C2×D4—2361no—
1417C2×D4—2361no—
1418C2×D4—2364no—
1419C2×D4—2364no—
1420C2×D4D4×D5911yescharacteristic
1421C2×D4C23×D5911yescharacteristic
1422C22×C4—21no—
1423C22×C4—21no—
1424C22×C4—21no—
1425C22×C4—21no—
1426C22×C4—591no—
1427C22×C4—591no—
1428C22×C4—591no—
1429C22×C4—591no—
1430C22×C4—591no—
1431C22×C4—591no—
1432C22×C4—591no—
1433C22×C4—1181no—
1434C22×C4—1181no—
1435C22×C4—1181no—
1436C22×C4—1181no—
1437C22×C4—1181no—
1438C22×C4—1181no—
1439C22×C4—1181no—
1440C22×C4—1181no—
1441C22×C4—1181no—
1442C22×C4—1181no—
1443C22×C4—1181no—
1444C22×C4—1181no—
1445C22×C4—1181no—
1446C22×C4—1181no—
1447C22×C4—1181no—
1448C22×C4—1181no—
1449C22×C4—1181no—
1450C22×C4—1181no—
1451C22×C4—4722no—
1452C22×C4—4722no—
1453C22×C4—4722no—
1454C22×C4—4722no—
1455C22×C4C23×D5911yescharacteristic
1456C22×C4C23×D5911yescharacteristic
1457Q16—2361no—
1458SD16—22no—
1459SD16—1182no—
1460SD16—1182no—
1461SD16—1182no—
1462SD16—2361no—
1463SD16—2361no—
1464D8—594no—
1465D8—1182no—
1466D8—1182no—
1467D8—1182no—
1468D8—1182no—
1469D8—1182no—
1470D8—2361no—
1471D8—2361no—
1472D8—2361no—
1473M16—22no—
1474M16—1182no—
1475M16—2361no—
1476M16—2361no—
1477C2×C8—22no—
1478C2×C8—591no—
1479C2×C8—591no—
1480C2×C8—591no—
1481C2×C8—591no—
1482C2×C8—2361no—
1483C2×C8C23×D5911yescharacteristic
1484C2×C8C23×D5911yescharacteristic
1485C2×C8C23×D5911yescharacteristic
1486C2×C8C23×D5911yescharacteristic
1487C4⋊C4—21no—
1488C4⋊C4—21no—
1489C4⋊C4—21no—
1490C4⋊C4—21no—
1491C4⋊C4—21no—
1492C4⋊C4—21no—
1493C4⋊C4—21no—
1494C4⋊C4—21no—
1495C4⋊C4—21no—
1496C4⋊C4—591no—
1497C4⋊C4—591no—
1498C4⋊C4—591no—
1499C4⋊C4—591no—
1500C4⋊C4—591no—
1501C4⋊C4—591no—
1502C4⋊C4—591no—
1503C4⋊C4—1181no—
1504C4⋊C4—1181no—
1505C4⋊C4—1181no—
1506C4⋊C4—1181no—
1507C4⋊C4—1181no—
1508C4⋊C4—1181no—
1509C4⋊C4—1181no—
1510C4⋊C4—1181no—
1511C4⋊C4—1181no—
1512C4⋊C4—1181no—
1513C4⋊C4—1181no—
1514C4⋊C4—1181no—
1515C4⋊C4—1181no—
1516C4⋊C4D4×D5911yescharacteristic
1517C4⋊C4C23×D5911yescharacteristic
1518C4⋊C4C23×D5911yescharacteristic
1519C4⋊C4C23×D5911yescharacteristic
1520C4⋊C4C23×D5911yescharacteristic
1521C4⋊C4C23×D5911yescharacteristic
1522C4⋊C4C23×D5911yescharacteristic
1523C22⋊C4—21no—
1524C22⋊C4—21no—
1525C22⋊C4—21no—
1526C22⋊C4—21no—
1527C22⋊C4—21no—
1528C22⋊C4—21no—
1529C22⋊C4—591no—
1530C22⋊C4—591no—
1531C22⋊C4—591no—
1532C22⋊C4—591no—
1533C22⋊C4—1181no—
1534C22⋊C4—1181no—
1535C22⋊C4—1181no—
1536C22⋊C4—1181no—
1537C22⋊C4—1181no—
1538C22⋊C4—1181no—
1539C22⋊C4—1181no—
1540C22⋊C4—1181no—
1541C22⋊C4—1181no—
1542C22⋊C4—1181no—
1543C22⋊C4—1181no—
1544C22⋊C4—1181no—
1545C22⋊C4—1181no—
1546C22⋊C4—1181no—
1547C22⋊C4—1181no—
1548C22⋊C4—1181no—
1549C22⋊C4—1181no—
1550C22⋊C4—1181no—
1551C22⋊C4—1181no—
1552C22⋊C4—1181no—
1553C22⋊C4—1181no—
1554C22⋊C4—1181no—
1555C22⋊C4—1181no—
1556C22⋊C4—1181no—
1557C22⋊C4—1181no—
1558C22⋊C4—1181no—
1559C22⋊C4—1181no—
1560C22⋊C4—1181no—
1561C22⋊C4—1181no—
1562C22⋊C4—1181no—
1563C22⋊C4—1181no—
1564C22⋊C4—1181no—
1565C22⋊C4D4×D5911yescharacteristic
1566C22⋊C4D4×D5911yescharacteristic
1567C42—21no—
1568C42—21no—
1569C42—591no—
1570C42—591no—
1571C42—591no—
1572C42—591no—
1573C42—591no—
1574C42—591no—
1575C42—591no—
1576C42—591no—
1577C42—591no—
1578C42—1181no—
1579C42—1181no—
1580C42—1181no—
1581C42—1181no—
1582C42C23×D5911yescharacteristic
1583C23—21no—
1584C23—591no—
1585C23—1181no—
1586C23—1181no—
1587C23—1181no—
1588C23—1181no—
1589C23—1181no—
1590C23—4721no—
1591C23—4721no—
1592C23—4721no—
1593C23—4721no—
1594C23—2362no—
1595C23—2362no—
1596C23—2362no—
1597C23—2362no—
1598C23—2362no—
1599C23—2362no—
1600C23—2362no—
1601C23—2362no—
1602C23C2×D4×D5911yescharacteristic
1603C23C2×D4×D5911yescharacteristic
1604Q8—21no—
1605Q8—21no—
1606Q8—81no—
1607Q8—1181no—
1608Q8—1181no—
1609Q8—4721no—
1610Q8—2361no—
1611D4—22no—
1612D4—21no—
1613D4—21no—
1614D4—42no—
1615D4—81no—
1616D4—592no—
1617D4—592no—
1618D4—1182no—
1619D4—1181no—
1620D4—1181no—
1621D4—1181no—
1622D4—1181no—
1623D4—1181no—
1624D4—1181no—
1625D4—1181no—
1626D4—1181no—
1627D4—4721no—
1628D4—4721no—
1629D4—4721no—
1630D4—4721no—
1631D4—4721no—
1632D4—2362no—
1633D4—2362no—
1634D4—2362no—
1635D4—2362no—
1636D4—2362no—
1637D4—2362no—
1638D4—2361no—
1639D4—2362no—
1640D4—2362no—
1641D4—2362no—
1642D4—2362no—
1643D4—2362no—
1644C2×C4—21no—
1645C2×C4—21no—
1646C2×C4—21no—
1647C2×C4—21no—
1648C2×C4—21no—
1649C2×C4—21no—
1650C2×C4—21no—
1651C2×C4—21no—
1652C2×C4—21no—
1653C2×C4—21no—
1654C2×C4—21no—
1655C2×C4—81no—
1656C2×C4—81no—
1657C2×C4—81no—
1658C2×C4—81no—
1659C2×C4—591no—
1660C2×C4—591no—
1661C2×C4—591no—
1662C2×C4—591no—
1663C2×C4—591no—
1664C2×C4—591no—
1665C2×C4—591no—
1666C2×C4—1182no—
1667C2×C4—1182no—
1668C2×C4—1182no—
1669C2×C4—1182no—
1670C2×C4—1181no—
1671C2×C4—1181no—
1672C2×C4—1181no—
1673C2×C4—1181no—
1674C2×C4—1181no—
1675C2×C4—4721no—
1676C2×C4—4721no—
1677C2×C4—4721no—
1678C2×C4—4721no—
1679C2×C4—4721no—
1680C2×C4—4721no—
1681C2×C4—4721no—
1682C2×C4—4721no—
1683C2×C4—2361no—
1684C2×C4—2362no—
1685C2×C4—2362no—
1686C2×C4—2362no—
1687C2×C4—2362no—
1688C2×C4—2362no—
1689C2×C4—2362no—
1690C2×C4—2362no—
1691C2×C4—2362no—
1692C2×C4—2362no—
1693C2×C4—2362no—
1694C2×C4—2361no—
1695C2×C4C2×D4×D5911yescharacteristic
1696C2×C4C2×D4×D5911yescharacteristic
1697C2×C4C2×D4×D5911yescharacteristic
1698C2×C4C2×D4×D5911yescharacteristic
1699C2×C4C24×D5911yescharacteristic
1700C8—21no—
1701C8—21no—
1702C8—21no—
1703C8—1181no—
1704C8—1181no—
1705C8—1181no—
1706C8—1181no—
1707C8#41×D5912yes—
1708C22—21no—
1709C22—21no—
1710C22—21no—
1711C22—21no—
1712C22—21no—
1713C22—41no—
1714C22—41no—
1715C22—41no—
1716C22—1181no—
1717C22—1181no—
1718C22—1181no—
1719C22—1182no—
1720C22—1182no—
1721C22—4724no—
1722C22—4724no—
1723C22—4724no—
1724C22—4724no—
1725C22—2361no—
1726C22—2361no—
1727C22—2361no—
1728C22—2361no—
1729C22—2361no—
1730C22—2361no—
1731C22—2361no—
1732C22—2361no—
1733C22—2361no—
1734C22—2361no—
1735C22—2361no—
1736C22—2361no—
1737C22—2361no—
1738C22#1683820112yes—
1739C22C22×D4×D5911yescharacteristic
1740C4—21no—
1741C4—21no—
1742C4—21no—
1743C4—21no—
1744C4—41no—
1745C4—41no—
1746C4—41no—
1747C4—41no—
1748C4—41no—
1749C4—41no—
1750C4—41no—
1751C4—592no—
1752C4—1181no—
1753C4—1181no—
1754C4—1181no—
1755C4—1181no—
1756C4—1181no—
1757C4—1181no—
1758C4—2361no—
1759C4—2361no—
1760C4—2361no—
1761C4C2×#41×D5911yescharacteristic
1762C4#1683823911yescharacteristic
1763C2—22no—
1764C2—41no—
1765C2—81no—
1766C2—4721no—
1767C2—4721no—
1768C2—4721no—
1769C2—2361no—
1770C2—2362no—
1771C2—2362no—
1772C2#2143758311yescharacteristic
1773C2C2×#1683820111yescharacteristic
1774C2#576×D5911yescharacteristic
subgroupG/H
centerC22C22×D4×D59
commutator, cosocleC2×C4×C59C25
FrattiniC2×C4C24×D59
FittingC59×#3346C2
socleC22×C59C23×D4
hypercenter#3346D59
hypocenterC59#61444
LCSG ▷ C2×C4×C59 ▷ C2×C59 ▷ C59
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3346

Complements

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

NH ≅ G/Ntype
1. #21437707C2semidirect
2. #21437703C2semidirect
3. #21437185C2semidirect
4. #21437051C2semidirect
5. #21436856C2semidirect
6. #21436852C2semidirect
7. #21436698C2semidirect
8. #21436577C2semidirect
9. #21436300C2semidirect
10. #21436295C2semidirect
11. #21436235C2semidirect
12. #21436231C2semidirect
13. #21436175C2semidirect
14. #21436171C2semidirect
15. #21435704C2semidirect
16. #21435581C2semidirect
17. #21435573C2semidirect
18. #21434693C2semidirect
19. #21434684C2semidirect
20. #21434659C2semidirect
21. #21434146C2semidirect
22. #21434140C2semidirect
23. #21434121C2semidirect
24. #21434117C2semidirect
25. #21434098C2semidirect
26. #21434093C2semidirect
27. #21433056C2semidirect
28. #21432903C2semidirect
29. #21432901C2semidirect
30. C2×#16837484C2semidirect
31. C59×#3346C2semidirect
35. #16838137C22semidirect
36. #16838135C22semidirect
37. #16838113C22semidirect
38. #16838108C22semidirect
39. #16838107C22semidirect
42. #16838100C22semidirect
44. #16838096C22semidirect
49. #16838049C22semidirect
53. #16838043C22semidirect
55. D4×D236C22semidirect
56. #16838036C22semidirect
57. #16837953C22semidirect
58. #16837947C22semidirect
59. #16837938C22semidirect
60. #16837938C22semidirect
62. #16837937C22semidirect
64. #16837933C22semidirect
69. C4×#11745689C22semidirect
70. #16837870C22semidirect
72. C2×#14273689C22semidirect
73. C2×#14273689C22semidirect
74. C2×#14273689C22semidirect
77. C4×D4×D59C22semidirect
78. #16837810C22semidirect
79. #16837802C22semidirect
80. #16837791C22semidirect
81. #16837788C22semidirect
82. #16837783C22semidirect
83. #16837768C22semidirect
84. #16837765C22semidirect
85. #16837764C22semidirect
86. #16837763C22semidirect
87. #16837758C22semidirect
88. #16837755C22semidirect
89. #16837745C22semidirect
90. #16837737C22semidirect
91. #16837728C22semidirect
92. #16837726C22semidirect
93. #16837720C22semidirect
94. #16837717C22semidirect
95. #16837717C22semidirect
96. #16837715C22semidirect
97. #16837708C22semidirect
98. #16837705C22semidirect
99. #16837705C22semidirect
100. #16837701C22semidirect
101. #16837701C22semidirect
102. #16837701C22semidirect
103. #16837699C22semidirect
104. #16837681C22semidirect
105. #16837681C22semidirect
106. #16837679C22semidirect
107. #16837656C22semidirect
108. #16837656C22semidirect
109. #16837655C22semidirect
110. #16837653C22semidirect
111. #16837650C22semidirect
112. #16837649C22semidirect
113. #16837649C22semidirect
114. #16837641C22semidirect
116. #16837631C22semidirect
117. #16837627C22semidirect
118. #16837624C22semidirect
119. #16837620C22semidirect
120. #16837620C22semidirect
121. #16837620C22semidirect
122. #16837618C22semidirect
123. #16837616C22semidirect
124. #16837616C22semidirect
126. #16837597C22semidirect
128. #16837596C22semidirect
129. #16837567C22semidirect
130. #16837562C22semidirect
131. #16837555C22semidirect
132. #16837552C22semidirect
136. #16837538C22semidirect
137. #16837537C22semidirect
138. #16837537C22semidirect
140. #16837535C22semidirect
141. #16837531C22semidirect
142. #16837530C22semidirect
145. #16837513C22semidirect
146. #16837512C22semidirect
147. #16837501C22semidirect
148. #16837501C22semidirect
149. #16837500C22semidirect
150. #16837494C22semidirect
151. SD16×Dic59C22semidirect
152. #16837489C22semidirect
153. #16837489C22semidirect
154. #16837489C22semidirect
155. #16837487C22semidirect
156. #16837487C22semidirect
159. #16837484C22semidirect
160. #16837484C22semidirect
161. #16837484C22semidirect
162. #16837484C22semidirect
163. #16837484C22semidirect
164. #16837484C22semidirect
165. #16837484C22semidirect
166. #16837484C22semidirect
167. #16837482C22semidirect
168. #16837482C22semidirect
169. #16837482C22semidirect
170. #16837478C22semidirect
171. #16837477C22semidirect
172. #16837474C22semidirect
173. #16837473C22semidirect
174. #16837470C22semidirect
175. #16837454C22semidirect
176. #16837452C22semidirect
177. #16837452C22semidirect
178. #16837443C22semidirect
179. #16837406C22semidirect
180. #16837405C22semidirect
181. #16837402C22semidirect
182. #16837401C22semidirect
183. C2×#14273647C22semidirect
184. C2×#14273647C22semidirect
185. #16837354C22semidirect
186. M16×Dic59C22semidirect
187. C2×C8×Dic59C22semidirect
188. C59×#554C22semidirect
190. C59×#501C22semidirect
191. C59×#485C22semidirect
192. C59×#484C22semidirect
193. C59×#481C22semidirect
194. C59×#480C22semidirect
195. C59×#479C22semidirect
196. C59×#474C22semidirect
197. C59×#468C22semidirect
198. C59×#465C22semidirect
199. C59×#440C22semidirect
200. C59×#435C22semidirect
201. C59×#428C22semidirect
202. C2×#107×C59C22semidirect
689. D472#41semidirect
884. #3346D59semidirect
927. #554C2×D59semidirect
968. #501C2×D59semidirect
980. #485C2×D59semidirect
982. #484C2×D59semidirect
986. #481C2×D59semidirect
990. #480C2×D59semidirect
992. #479C2×D59semidirect
1002. #474C2×D59semidirect
1010. #468C2×D59semidirect
1014. #465C2×D59semidirect
1048. #440C2×D59semidirect
1074. #435C2×D59semidirect
1079. #428C2×D59semidirect
1080. C2×#107C2×D59semidirect
1090. C59#61444semidirect

Maximal subgroups

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

subgroupindex
#214377072
#214377032
#214371852
#214370512
#214368562
#214368522
#214366982
#214365772
#214363002
#214362952
#214362352
#214362312
#214361752
#214361712
#214357042
#214355812
#214355732
#214346932
#214346842
#214346592
#214341462
#214341402
#214341212
#214341172
#214340982
#214340932
#214330562
#214329032
#214329012
C2×#168374842
C59×#33462
#6144459