Finite Group Databasebeta

← #29470445

Subgroups — #29470445

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#21437705C211yesmaximal, characteristic, complemented
3#21437180C211yesmaximal, characteristic, complemented
4#21437050C211yesmaximal, characteristic, complemented
5#21436851C211yesmaximal, characteristic, complemented
6#21436699C211yesmaximal, characteristic, complemented
7#21436588C211yesmaximal, characteristic, complemented
8#21436578C211yesmaximal, characteristic, complemented
9#21436302C211yesmaximal, characteristic, complemented
10#21436296C211yesmaximal, characteristic, complemented
11#21436242C211yesmaximal, characteristic, complemented
12#21436236C211yesmaximal, characteristic, complemented
13#21436182C211yesmaximal, characteristic, complemented
14#21436176C211yesmaximal, characteristic, complemented
15#21435702C211yesmaximal, characteristic, complemented
16#21435582C211yesmaximal, characteristic, complemented
17#21435571C211yesmaximal, characteristic, complemented
18#21434694C211yesmaximal, characteristic, complemented
19#21434690C211yesmaximal, characteristic, complemented
20#21434665C211yesmaximal, characteristic, complemented
21#21434148C211yesmaximal, characteristic, complemented
22#21434142C211yesmaximal, characteristic, complemented
23#21434121C211yesmaximal, characteristic, complemented
24#21434111C211yesmaximal, characteristic, complemented
25#21434098C211yesmaximal, characteristic, complemented
26#21434095C211yesmaximal, characteristic, complemented
27#21433061C211yesmaximal, characteristic, complemented
28#21432907C211yesmaximal, characteristic, complemented
29#21432901C211yesmaximal, characteristic, complemented
30C4×D8×D59C211yesmaximal, characteristic, complemented
31C59×#3370C211yesmaximal, characteristic, complemented
32C2×#14273754C2211yescharacteristic
33C2×#14273751C2211yescharacteristic
34C2×D8×D59C2211yescharacteristic
35#16838137C2211yescharacteristic, complemented
36#16838113C2211yescharacteristic, complemented
37#16838112C2211yescharacteristic, complemented
38#16838112C2211yescharacteristic, complemented
39#16838105C2211yescharacteristic
40#16838105C2211yescharacteristic, complemented
41#16838102—21no—
42#16838102C2211yescharacteristic
43#16838102C2211yescharacteristic, complemented
44#16838100—21no—
45#16838080—21no—
46#16838080—21no—
47#16838079—21no—
48#16838079—21no—
49#16838047C2211yescharacteristic
50#16838047C2211yescharacteristic, complemented
51#16838045—21no—
52#16838045C2211yescharacteristic
53#16838045C2211yescharacteristic, complemented
54#16838043—21no—
55D4×D236C2211yescharacteristic, complemented
56#16838037C2211yescharacteristic, complemented
57#16837953C2211yescharacteristic, complemented
58#16837950C2211yescharacteristic, complemented
59#16837938—21no—
60#16837937C2211yescharacteristic, complemented
61#16837937C2211yescharacteristic, complemented
62#16837931—21no—
63#16837931C2211yescharacteristic, complemented
64#16837931C2211yescharacteristic, complemented
65#16837915—21no—
66#16837915—21no—
67#16837910—21no—
68#16837910—21no—
69C4×#11745689C2211yescharacteristic
70C4×#11745689C2211yescharacteristic, complemented
71C4×#11745687C2211yescharacteristic, complemented
72C2×#14273689—21no—
73C4×D4×D59—21no—
74C4×D4×D59C2211yescharacteristic, complemented
75C4×D4×D59C2211yescharacteristic, complemented
76C4×D4×D59C2211yescharacteristic, complemented
77C4×D4×D59C2211yescharacteristic, complemented
78#16837812C2211yescharacteristic, complemented
79#16837808C2211yescharacteristic, complemented
80#16837801C2211yescharacteristic, complemented
81#16837792C2211yescharacteristic, complemented
82#16837789C2211yescharacteristic, complemented
83#16837784C2211yescharacteristic, complemented
84#16837767C2211yescharacteristic, complemented
85#16837762C2211yescharacteristic, complemented
86#16837757C2211yescharacteristic, complemented
87#16837745C2211yescharacteristic, complemented
88#16837742C2211yescharacteristic, complemented
89#16837739C2211yescharacteristic, complemented
90#16837736C2211yescharacteristic, complemented
91#16837728C2211yescharacteristic, complemented
92#16837725C2211yescharacteristic, complemented
93#16837722C2211yescharacteristic, complemented
94#16837719C2211yescharacteristic, complemented
95#16837717C2211yescharacteristic, complemented
96#16837717C2211yescharacteristic, complemented
97#16837714C2211yescharacteristic, complemented
98#16837714C2211yescharacteristic, complemented
99#16837710C2211yescharacteristic, complemented
100#16837703C2211yescharacteristic, complemented
101#16837702C2211yescharacteristic, complemented
102#16837702C2211yescharacteristic, complemented
103#16837699C2211yescharacteristic, complemented
104#16837699C2211yescharacteristic, complemented
105#16837683C2211yescharacteristic, complemented
106#16837682C2211yescharacteristic, complemented
107#16837679C2211yescharacteristic, complemented
108#16837654C2211yescharacteristic, complemented
109#16837654C2211yescharacteristic, complemented
110#16837654C2211yescharacteristic, complemented
111#16837654C2211yescharacteristic, complemented
112#16837651C2211yescharacteristic, complemented
113#16837651C2211yescharacteristic, complemented
114#16837647C2211yescharacteristic, complemented
115#16837647C2211yescharacteristic, complemented
116#16837642C2211yescharacteristic, complemented
117#16837637C2211yescharacteristic
118#16837634C2211yescharacteristic, complemented
119#16837630C2211yescharacteristic, complemented
120#16837624C2211yescharacteristic, complemented
121#16837621C2211yescharacteristic, complemented
122#16837618C2211yescharacteristic, complemented
123#16837618C2211yescharacteristic, complemented
124#16837617C2211yescharacteristic, complemented
125#16837614C2211yescharacteristic, complemented
126#16837598C2211yescharacteristic
127#16837597C2211yescharacteristic, complemented
128#16837594C2211yescharacteristic, complemented
129#16837567C2211yescharacteristic, complemented
130#16837561C2211yescharacteristic, complemented
131#16837554C2211yescharacteristic, complemented
132#16837551C2211yescharacteristic, complemented
133#16837550C2211yescharacteristic
134#16837544C2211yescharacteristic
135#16837537C2211yescharacteristic
136#16837537C2211yescharacteristic, complemented
137#16837537C2211yescharacteristic, complemented
138#16837534C2211yescharacteristic
139#16837534C2211yescharacteristic, complemented
140#16837534C2211yescharacteristic, complemented
141#16837533C2211yescharacteristic, complemented
142#16837515C2211yescharacteristic, complemented
143#16837512C2211yescharacteristic
144#16837512C2211yescharacteristic
145#16837504C2211yescharacteristic, complemented
146#16837502C2211yescharacteristic, complemented
147#16837500C2211yescharacteristic, complemented
148#16837494C2211yescharacteristic, complemented
149#16837493C2211yescharacteristic, complemented
150#16837493C2211yescharacteristic, complemented
151SD16×Dic59C2211yescharacteristic, complemented
152#16837489C2211yescharacteristic, complemented
153#16837487C2211yescharacteristic, complemented
154#16837487C2211yescharacteristic, complemented
155C4×D472C2211yescharacteristic, complemented
156D8×Dic59C2211yescharacteristic, complemented
157D8×Dic59C2211yescharacteristic, complemented
158#16837484C2211yescharacteristic, complemented
159#16837484C2211yescharacteristic, complemented
160C4×#11745669C2211yescharacteristic
161C4×#11745669C2211yescharacteristic, complemented
162#16837482C2211yescharacteristic
163#16837482C2211yescharacteristic, complemented
164#16837482C2211yescharacteristic, complemented
165#16837482C2211yescharacteristic, complemented
166#16837482C2211yescharacteristic, complemented
167#16837481C2211yescharacteristic, complemented
168#16837479C2211yescharacteristic, complemented
169#16837475C2211yescharacteristic, complemented
170#16837475C2211yescharacteristic, complemented
171#16837472C2211yescharacteristic, complemented
172#16837472C2211yescharacteristic, complemented
173#16837454C2211yescharacteristic, complemented
174#16837454C2211yescharacteristic, complemented
175#16837454C2211yescharacteristic, complemented
176#16837443C2211yescharacteristic, complemented
177#16837441C2211yescharacteristic, complemented
178#107×D59C2211yescharacteristic, complemented
179#16837405C2211yescharacteristic, complemented
180#16837405C2211yescharacteristic, complemented
181#16837402C2211yescharacteristic, complemented
182#16837400C2211yescharacteristic, complemented
183#102×D59C2211yescharacteristic, complemented
184#102×D59C2211yescharacteristic, complemented
185#16837354C2211yescharacteristic, complemented
186#16837354C2211yescharacteristic, complemented
187C4×C8×D59C2211yescharacteristic, complemented
188C59×#559C2211yescharacteristic, complemented
189C59×#554C2211yescharacteristic, complemented
190C59×#490C2211yescharacteristic, complemented
191C59×#489C2211yescharacteristic, complemented
192C59×#488C2211yescharacteristic, complemented
193C59×#479C2211yescharacteristic, complemented
194C59×#478C2211yescharacteristic, complemented
195C59×#474C2211yescharacteristic, complemented
196C59×#463C2211yescharacteristic, complemented
197C59×#463C2211yescharacteristic, complemented
198C59×#459C2211yescharacteristic
199C59×#446C2211yescharacteristic, complemented
200C59×#442C2211yescharacteristic, complemented
201C59×#440C2211yescharacteristic, complemented
202C4×D8×C59C2211yescharacteristic, complemented
203C2×#11745689—21no—
204C2×#11745689D411yescharacteristic
205C2×#11745689C2311yescharacteristic
206C2×#11745687—21no—
207C2×#11745687C2311yescharacteristic
208C22×D236—21no—
209C2×D4×D59—21no—
210C2×D4×D59C2311yescharacteristic
211C2×D4×D59C2311yescharacteristic
212C2×D4×D59C2311yescharacteristic
213C2×D4×D59C2311yescharacteristic
214C22×C4×D59—21no—
215C22×C4×D59—21no—
216C22×C4×D59—21no—
217C22×C4×D59—21no—
218#14273754—24no—
219#14273751—24no—
220C2×#11745672C2311yescharacteristic
221C2×#11745660C2311yescharacteristic
222C2×#11745670C2311yescharacteristic
223C2×#11745670C2311yescharacteristic
224C2×#11745671C2311yescharacteristic
225C2×#11745671C2311yescharacteristic
226C2×D472C2311yescharacteristic
227C2×D472C2311yescharacteristic
228C2×#11745669C2311yescharacteristic
229C2×#11745669C2311yescharacteristic
230C2×#11745669C2311yescharacteristic
231C2×#11745669C2311yescharacteristic
232C2×#11745669C2311yescharacteristic
233D8×D59—24no—
234C2×#11745659C2311yescharacteristic
235C2×#11745659C2311yescharacteristic
236C2×#11745659C2311yescharacteristic
237C2×#11745659C2311yescharacteristic
238C2×C8×D59C2311yescharacteristic
239C2×C8×D59C2311yescharacteristic
240#14273727C2311yescharacteristic
241#14273724C2311yescharacteristic
242#14273722—21no—
243#14273722—21no—
244#14273722—21no—
245#14273722—21no—
246#14273720—21no—
247#14273720—21no—
248#14273720—21no—
249#14273720—21no—
250#14273719—21no—
251#14273719C2311yescharacteristic
252#14273719C2311yescharacteristic
253#14273718—21no—
254#14273716—21no—
255#14273716—21no—
256#14273715C2311yescharacteristic
257#14273715C2311yescharacteristic
258#14273714—21no—
259#14273712—21no—
260#14273712—21no—
261#14273712—21no—
262#14273712—21no—
263#14273712—21no—
264#14273712—21no—
265#14273711—21no—
266#14273711—21no—
267#14273710—21no—
268#14273710—21no—
269#14273709—21no—
270#14273709—21no—
271#14273709—21no—
272#14273709—21no—
273#14273707C2311yescharacteristic
274#14273707C2311yescharacteristic
275#14273705—21no—
276#14273705—21no—
277#14273705—21no—
278#14273705—21no—
279#14273703—21no—
280#14273703—21no—
281#14273703—21no—
282#14273703C2311yescharacteristic
283#14273703C2311yescharacteristic
284#14273702—21no—
285#14273702—21no—
286#14273702—21no—
287#14273702C2311yescharacteristic
288#14273702C2311yescharacteristic
289#14273702C2311yescharacteristic
290#14273702C2311yescharacteristic
291#14273701—21no—
292#14273701—21no—
293#14273701—21no—
294#14273700—21no—
295#14273700—21no—
296#14273700—21no—
297#14273700—21no—
298#14273698—21no—
299#14273698—21no—
300#14273698C2311yescharacteristic
301#14273698C2311yescharacteristic
302#14273698C2311yescharacteristic
303#14273698C2311yescharacteristic
304#14273697—21no—
305#14273697—21no—
306#14273697—21no—
307#14273697—21no—
308#14273697—21no—
309#14273697—21no—
310#14273695—21no—
311#14273695—21no—
312Q8×Dic59D411yescharacteristic
313Q8×Dic59C2311yescharacteristic
314C4×Dic118C2311yescharacteristic
315#14273692C2311yescharacteristic
316C4×D236—21no—
317C4×D236—21no—
318C4×D236C2311yescharacteristic
319C4×D236C2311yescharacteristic
320C4×D236C2311yescharacteristic
321C4×D236C2311yescharacteristic
322C4×D236C2311yescharacteristic
323C4×D236C2311yescharacteristic
324C4×D236C2311yescharacteristic
325C4×D236C2311yescharacteristic
326D4×Dic59—21no—
327D4×Dic59C2311yescharacteristic
328D4×Dic59C2311yescharacteristic
329D4×Dic59C2311yescharacteristic
330#14273689—21no—
331#14273689—21no—
332#14273689—21no—
333#14273689—21no—
334#14273689—21no—
335#14273689—21no—
336#14273689—21no—
337#14273689—21no—
338#14273689D411yescharacteristic
339#14273689D411yescharacteristic
340#14273689D411yescharacteristic
341#14273689C2311yescharacteristic
342#14273689C2311yescharacteristic
343#14273689C2311yescharacteristic
344C4×C22⋊D59—21no—
345C4×C22⋊D59—21no—
346C4×C22⋊D59—21no—
347C4×C22⋊D59—21no—
348C4×C22⋊D59—21no—
349C4×C22⋊D59—21no—
350C4×C22⋊D59—21no—
351(C22⋊D59)⋊C4—21no—
352(C22⋊D59)⋊C4—21no—
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#14273685—21no—
359#14273685—21no—
360#14273685—21no—
361#14273685D411yescharacteristic
362#14273685D411yescharacteristic
363#14273685D411yescharacteristic
364#14273685C2311yescharacteristic
365#14273685C2311yescharacteristic
366#14273683—21no—
367#14273683—21no—
368#14273683—21no—
369C4⋊C4×D59—21no—
370C4⋊C4×D59C2311yescharacteristic
371C4⋊C4×D59C2311yescharacteristic
372C4⋊C4×D59C2311yescharacteristic
373C4⋊C4×D59C2311yescharacteristic
374C2×(C2×D59)⋊C4—21no—
375C2×(C2×D59)⋊C4—21no—
376C22⋊C4×D59—21no—
377C22⋊C4×D59—21no—
378C22⋊C4×D59—21no—
379C22⋊C4×D59—21no—
380C22⋊C4×D59—21no—
381C22⋊C4×D59—21no—
382C2×C4×Dic59—21no—
383C42×D59—21no—
384C42×D59C2311yescharacteristic
385C42×D59C2311yescharacteristic
386C42×D59C2311yescharacteristic
387#14273661C2311yescharacteristic
388#14273661C2311yescharacteristic
389#14273660C2311yescharacteristic
390#14273660C2311yescharacteristic
391#14273660C2311yescharacteristic
392#14273660C2311yescharacteristic
393#14273660C2311yescharacteristic
394#14273660C2311yescharacteristic
395#14273659C2311yescharacteristic
396#14273658C2311yescharacteristic
397#14273658C2311yescharacteristic
398#14273658C2311yescharacteristic
399#14273658C2311yescharacteristic
400C4⋊(C59⋊C8)C2311yescharacteristic
401C4⋊(C59⋊C8)C2311yescharacteristic
402C4⋊(C59⋊C8)C2311yescharacteristic
403#14273652C2311yescharacteristic
404#14273652C2311yescharacteristic
405#14273652C2311yescharacteristic
406#14273651C2311yescharacteristic
407#14273650C2311yescharacteristic
408#14273649C2311yescharacteristic
409#14273649C2311yescharacteristic
410#14273649C2311yescharacteristic
411#14273649C2311yescharacteristic
412#14273649C2311yescharacteristic
413#14273649C2311yescharacteristic
414#14273649C2311yescharacteristic
415#14273648C2311yescharacteristic
416#14273648C2311yescharacteristic
417#14273648C2311yescharacteristic
418#14273648C2311yescharacteristic
419#14273648C2311yescharacteristic
420#14273647C2311yescharacteristic
421#14273647C2311yescharacteristic
422#14273647C2311yescharacteristic
423#14273647C2311yescharacteristic
424#14273647C2311yescharacteristic
425(C2×D59)⋊C8C2311yescharacteristic
426(C2×D59)⋊C8C2311yescharacteristic
427(C2×D59)⋊C8C2311yescharacteristic
428(C2×D59)⋊C8C2311yescharacteristic
429(C2×D59)⋊C8C2311yescharacteristic
430(C2×D59)⋊C8C2311yescharacteristic
431#14273638C2311yescharacteristic
432#14273638C2311yescharacteristic
433C4×C59⋊C8C2311yescharacteristic
434C8×Dic59C2311yescharacteristic
435C8×Dic59C2311yescharacteristic
436C8×Dic59C2311yescharacteristic
437C8×Dic59C2311yescharacteristic
438C2×SD16×C59C2311yescharacteristic
439C2×D8×C59C2311yescharacteristic
440C2×D8×C59C2311yescharacteristic
441C4⋊Q8×C59C2311yescharacteristic
442#127×C59C2311yescharacteristic
443#125×C59C2311yescharacteristic
444#125×C59C2311yescharacteristic
445#124×C59—21no—
446#124×C59C2311yescharacteristic
447#124×C59C2311yescharacteristic
448#123×C59—21no—
449#123×C59—21no—
450C22⋊Q8×C59—21no—
451C22⋊Q8×C59—21no—
452C22⋊Q8×C59—21no—
453C4×Q8×C59C2311yescharacteristic
454C4×Q8×C59C2311yescharacteristic
455C4×D4×C59—21no—
456C4×D4×C59C2311yescharacteristic
457C4×D4×C59C2311yescharacteristic
458C4×D4×C59C2311yescharacteristic
459C4×D4×C59C2311yescharacteristic
460C4×D4×C59C2311yescharacteristic
461C2×C4⋊C4×C59—21no—
462#107×C59C2311yescharacteristic
463#107×C59C2311yescharacteristic
464#106×C59C2311yescharacteristic
465C4⋊C8×C59C2311yescharacteristic
466C4⋊C8×C59C2311yescharacteristic
467C4⋊C8×C59C2311yescharacteristic
468#103×C59C2311yescharacteristic
469#103×C59C2311yescharacteristic
470#103×C59C2311yescharacteristic
471#102×C59C2311yescharacteristic
472#102×C59C2311yescharacteristic
473#102×C59C2311yescharacteristic
474#102×C59C2311yescharacteristic
475#102×C59C2311yescharacteristic
476#102×C59C2311yescharacteristic
477#102×C59C2311yescharacteristic
478#97×C59C2311yescharacteristic
479#97×C59C2311yescharacteristic
480C4×C8×C59C2311yescharacteristic
481C23×D59—21no—
482C23×D59—21no—
483C23×D59—21no—
484C23×D59—21no—
485C2×Q8×C59—21no—
486C2×Q8×C59C2×D411yescharacteristic
487C2×Q8×C59C2411yescharacteristic
488C2×D4×C59—21no—
489C2×D4×C59—21no—
490C2×D4×C59C2411yescharacteristic
491C2×D4×C59C2411yescharacteristic
492C2×D4×C59C2411yescharacteristic
493C22×C4×C59—21no—
494C22×C4×C59—21no—
495C22×C4×C59—21no—
496C22×C4×C59—21no—
497C22×C4×C59—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⋊D59—21no—
505C2×C22⋊D59—21no—
506C2×C22⋊D59—21no—
507C22×Dic59—21no—
508C22×Dic59—21no—
509C22×Dic59—21no—
510C22×Dic59—21no—
511#11745689—22no—
512#11745689—42no—
513#11745689—41no—
514#11745689—82no—
515#11745687—22no—
516#11745687—41no—
517#11745687—82no—
518D4×D59—22no—
519D4×D59—22no—
520D4×D59—22no—
521D4×D59—22no—
522D4×D59—41no—
523D4×D59—41no—
524D4×D59—41no—
525D4×D59—41no—
526D4×D59—44no—
527C2×D236—21no—
528C2×D236—21no—
529C2×D236—21no—
530C2×D236—21no—
531C2×D236—21no—
532C2×D236—21no—
533C2×D236—21no—
534C2×D236—44no—
535C2×D236C2×D411yescharacteristic
536C2×D236C2×D411yescharacteristic
537C2×D236C2×D411yescharacteristic
538C2×D236C2411yescharacteristic
539C2×D236C2411yescharacteristic
540C2×D236C2411yescharacteristic
541C2×C4×D59—21no—
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—82no—
555C2×C4×D59—82no—
556C2×C4×D59—82no—
557C2×C4×D59—82no—
558C2×C4×D59C2×D411yescharacteristic
559C2×C4×D59C2×D411yescharacteristic
560C2×C4×D59C2×D411yescharacteristic
561C2×C4×D59C2×D411yescharacteristic
562C2×C4×D59C2×D411yescharacteristic
563C2×C4×D59C2×D411yescharacteristic
564C2×C4×D59C2411yescharacteristic
565C2×C4×D59C2411yescharacteristic
566C2×C4×D59C2411yescharacteristic
567C2×Dic118—21no—
568C2×Dic118C2411yescharacteristic
569SD16×C59—22no—
570D8×C59—22no—
571D8×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×C59C2×D411yescharacteristic
583C4⋊C4×C59C2×D411yescharacteristic
584C4⋊C4×C59C2×D411yescharacteristic
585C4⋊C4×C59C2411yescharacteristic
586C4⋊C4×C59C2411yescharacteristic
587C4⋊C4×C59C2411yescharacteristic
588C4⋊C4×C59C2411yescharacteristic
589C22⋊C4×C59—21no—
590C22⋊C4×C59—21no—
591C22⋊C4×C59—21no—
592C22⋊C4×C59—21no—
593C22⋊C4×C59—21no—
594C22⋊C4×C59—21no—
595C22⋊C4×C59—21no—
596C22⋊C4×C59—21no—
597C22⋊C4×C59—21no—
598C42×C59—21no—
599C42×C59C2411yescharacteristic
600C42×C59C2411yescharacteristic
601C42×C59C2411yescharacteristic
602C22⋊Dic59—21no—
603C22⋊Dic59—21no—
604C22⋊Dic59—21no—
605C22⋊Dic59—21no—
606C22⋊Dic59—21no—
607C22⋊Dic59—21no—
608C22⋊Dic59—21no—
609#11745672—41no—
610#11745671—22no—
611#11745671—41no—
612#11745670—22no—
613#11745670—41no—
614#11745669—22no—
615#11745669—41no—
616#11745669—41no—
617#11745669—41no—
618#11745669#4114yescomplemented
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)⋊C4C2×D411yescharacteristic
642(C2×D59)⋊C4C2×D411yescharacteristic
643(C2×D59)⋊C4C2×D411yescharacteristic
644(C2×D59)⋊C4C2×D411yescharacteristic
645(C2×D59)⋊C4C2×D411yescharacteristic
646(C2×D59)⋊C4C2×D411yescharacteristic
647C4⋊Dic59—21no—
648C4⋊Dic59—21no—
649C4⋊Dic59—21no—
650C4⋊Dic59—21no—
651C4⋊Dic59C2×D411yescharacteristic
652C4⋊Dic59C2×D411yescharacteristic
653C4⋊Dic59C2×D411yescharacteristic
654C4⋊Dic59C2411yescharacteristic
655C4⋊Dic59C2411yescharacteristic
656C4⋊Dic59C2411yescharacteristic
657C4⋊Dic59C2411yescharacteristic
658Dic59⋊C4—21no—
659Dic59⋊C4—21no—
660Dic59⋊C4—21no—
661Dic59⋊C4—21no—
662Dic59⋊C4—21no—
663Dic59⋊C4—21no—
664Dic59⋊C4—21no—
665Dic59⋊C4—21no—
666Dic59⋊C4—21no—
667Dic59⋊C4—21no—
668Dic59⋊C4—21no—
669Dic59⋊C4—21no—
670C4×Dic59—21no—
671C4×Dic59—21no—
672C4×Dic59—21no—
673C4×Dic59—21no—
674C4×Dic59—21no—
675C4×Dic59C2×D411yescharacteristic
676C4×Dic59C2×D411yescharacteristic
677C4×Dic59C2×D411yescharacteristic
678C4×Dic59C2×D411yescharacteristic
679C4×Dic59C2×D411yescharacteristic
680C4×Dic59C2×D411yescharacteristic
681C4×Dic59C2411yescharacteristic
682C2×C59⋊C8C2411yescharacteristic
683C2×C59⋊C8C2411yescharacteristic
684C2×C59⋊C8C2411yescharacteristic
685C2×C59⋊C8C2411yescharacteristic
686D472—22no—
687D472—22no—
688#11745660—22no—
689#11745659—22no—
690#11745659—22no—
691#11745659—41no—
692#11745659—41no—
693C8×D59—22no—
694C8×D59—41no—
695C23×C59—21no—
696C23×C59—21no—
697C23×C59—21no—
698C22×D59—21no—
699C22×D59—21no—
700C22×D59—21no—
701C22×D59—42no—
702C22×D59—42no—
703C22×D59—42no—
704C22×D59—42no—
705C22×D59—42no—
706C22×D59—42no—
707C22×D59—42no—
708C22×D59—42no—
709C22×D59—81no—
710C22×D59—81no—
711C22×D59—81no—
712C22×D59—81no—
713C22×D59C22×D411yescharacteristic
714C22×D59C22×D411yescharacteristic
715C22×D59C22×D411yescharacteristic
716Q8×C59—21no—
717Q8×C59—21no—
718Q8×C59—41no—
719Q8×C59—81no—
720D4×C59—21no—
721D4×C59—21no—
722D4×C59—21no—
723D4×C59—21no—
724D4×C59—21no—
725D4×C59—42no—
726D4×C59—81no—
727D4×C59C2×#4112yes—
728C2×C4×C59—21no—
729C2×C4×C59—21no—
730C2×C4×C59—21no—
731C2×C4×C59—21no—
732C2×C4×C59—21no—
733C2×C4×C59—42no—
734C2×C4×C59—81no—
735C2×C4×C59—81no—
736C2×C4×C59—81no—
737C2×C4×C59—81no—
738C2×C4×C59C22×D411yescharacteristic
739C2×C4×C59C22×D411yescharacteristic
740C2×C4×C59C22×D411yescharacteristic
741C2×C4×C59C22×D411yescharacteristic
742C2×C4×C59C22×D411yescharacteristic
743C2×C4×C59C22×D411yescharacteristic
744C2×C4×C59C2511yescharacteristic
745C22⋊D59—42no—
746C22⋊D59—42no—
747C22⋊D59—42no—
748C22⋊D59—42no—
749C22⋊D59—42no—
750C22⋊D59—42no—
751C22⋊D59—42no—
752C22⋊D59—81no—
753C22⋊D59—81no—
754C2×Dic59—21no—
755C2×Dic59—21no—
756C2×Dic59—21no—
757C2×Dic59—21no—
758C2×Dic59—21no—
759C2×Dic59—42no—
760C2×Dic59—42no—
761C2×Dic59—42no—
762C2×Dic59—42no—
763C2×Dic59C22×D411yescharacteristic
764C2×Dic59C22×D411yescharacteristic
765C2×Dic59C22×D411yescharacteristic
766C2×Dic59C22×D411yescharacteristic
767C2×Dic59C22×D411yescharacteristic
768D236—22no—
769D236—22no—
770D236—21no—
771D236—21no—
772D236—21no—
773D236—21no—
774D236—21no—
775D236—41no—
776D236—42no—
777D236—42no—
778D236—42no—
779D236—42no—
780D236—81no—
781D236—81no—
782D236—81no—
783D236C2×#4112yes—
784C4×D59—22no—
785C4×D59—21no—
786C4×D59—21no—
787C4×D59—21no—
788C4×D59—21no—
789C4×D59—21no—
790C4×D59—21no—
791C4×D59—22no—
792C4×D59—22no—
793C4×D59—22no—
794C4×D59—41no—
795C4×D59—41no—
796C4×D59—42no—
797C4×D59—42no—
798C4×D59—42no—
799C4×D59—42no—
800C4×D59—42no—
801C4×D59—81no—
802C4×D59—81no—
803C4×D59—81no—
804C4×D59—81no—
805C4×D59—81no—
806C4×D59—81no—
807C4×D59—81no—
808C4×D59—81no—
809Dic118—21no—
810Dic118—21no—
811Dic118—81no—
812C8×C59—21no—
813C8×C59—21no—
814C8×C59—21no—
815C8×C59—21no—
816C59⋊C8—21no—
817C59⋊C8—21no—
818C59⋊C8—21no—
819C59⋊C8C2×#4112yes—
820#61444—591nomaximal, Sylow
821C22×C59—22no—
822C22×C59—41no—
823C22×C59—41no—
824C22×C59—41no—
825C22×C59—41no—
826C22×C59—41no—
827C22×C59—41no—
828C22×C59—41no—
829C22×C59—41no—
830C22×C59C23×D411yescharacteristic
831C2×D59—21no—
832C2×D59—21no—
833C2×D59—21no—
834C2×D59—21no—
835C2×D59—22no—
836C2×D59—21no—
837C2×D59—21no—
838C2×D59—21no—
839C2×D59—21no—
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—84no—
849C2×D59—84no—
850C2×D59—84no—
851C2×D59—84no—
852C2×D59#57512yes—
853C4×C59—21no—
854C4×C59—21no—
855C4×C59—21no—
856C4×C59—21no—
857C4×C59—21no—
858C4×C59—21no—
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—41no—
871Dic59—41no—
872Dic59—41no—
873Dic59—41no—
874Dic59—41no—
875Dic59#57612yes—
876#3481—591no—
877#3481—591no—
878#3403—591no—
879#3389—591no—
880#3370—591no—
881#3370D5911yescharacteristic, complemented
882#3355—591no—
883#3346—591no—
884#3346—591no—
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—42no—
908C2×C59—81no—
909C2×C59—81no—
910C2×C59D4×#4111yescharacteristic
911C2×C59C2×#57511yescharacteristic
912C2×C59C2×#57611yescharacteristic
913D59—22no—
914D59—41no—
915D59—41no—
916D59—42no—
917D59—81no—
918D59—81no—
919C2×AGL(1,ℤ/8)—591no—
920C2×AGL(1,ℤ/8)—591no—
921C22×D8—591no—
922#559—591no—
923#559C2×D5911yescharacteristic, complemented
924#554—591no—
925#554—591no—
926#554—591no—
927#554C2×D5911yescharacteristic, complemented
928#553—591no—
929#553—591no—
930#553—591no—
931#553—591no—
932#553—1181no—
933#553—1181no—
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#501—591no—
969#499—591no—
970#496—591no—
971#496—591no—
972#495—591no—
973#490—591no—
974#490C2×D5911yescharacteristic, complemented
975#489—591no—
976#489C2×D5911yescharacteristic, complemented
977#488—591no—
978#488C2×D5911yescharacteristic, complemented
979#485—591no—
980#485—591no—
981#484—591no—
982#484—591no—
983#482—591no—
984#482—591no—
985#481—591no—
986#481—591no—
987#480—591no—
988#480—591no—
989#480—591no—
990#480—591no—
991#479—591no—
992#479C2×D5911yescharacteristic, complemented
993#478—591no—
994#478—591no—
995#478—591no—
996#478—591no—
997#478—591no—
998#478C2×D5911yescharacteristic, complemented
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#468—591no—
1011#467—591no—
1012#466—591no—
1013#465—591no—
1014#465—591no—
1015#464—591no—
1016#464—591no—
1017#463—591no—
1018#463—591no—
1019#463—591no—
1020#463—591no—
1021#463C2×D5911yescharacteristic, complemented
1022#463C2×D5911yescharacteristic, complemented
1023#459—591no—
1024#459—591no—
1025#459—591no—
1026#459C2×D5911yescharacteristic
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#446C2×D5911yescharacteristic, complemented
1041#442—591no—
1042#442—591no—
1043#442—591no—
1044#442C2×D5911yescharacteristic, complemented
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×D8C2×D5911yescharacteristic, complemented
1069#436—591no—
1070#436—591no—
1071#435—591no—
1072#435—591no—
1073#435—591no—
1074#435—591no—
1075#431—591no—
1076#431—591no—
1077#431—591no—
1078#428—591no—
1079#428—591no—
1080C2×#107—591no—
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—1184no—
1123C2×D8C22×D5911yescharacteristic
1124C2×D8C22×D5911yescharacteristic
1125C2×M16—591no—
1126C2×M16—591no—
1127C2×M16—591no—
1128C2×M16—591no—
1129C22×C8—591no—
1130C22×C8—591no—
1131C4⋊Q8—591no—
1132C4⋊Q8C22×D5911yescharacteristic
1133#127—591no—
1134#127C22×D5911yescharacteristic
1135#126—1181no—
1136#126—1181no—
1137#126—1181no—
1138#126—1181no—
1139#126—1181no—
1140#126—1181no—
1141#126—1181no—
1142#126—1181no—
1143#125—591no—
1144#125—591no—
1145#125—1181no—
1146#125—1181no—
1147#125C22×D5911yescharacteristic
1148#125C22×D5911yescharacteristic
1149#124—21no—
1150#124—591no—
1151#124—591no—
1152#124—1181no—
1153#124—1181no—
1154#124—1181no—
1155#124C22×D5911yescharacteristic
1156#124C22×D5911yescharacteristic
1157#123—21no—
1158#123—21no—
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—21no—
1176C22⋊Q8—591no—
1177C22⋊Q8—591no—
1178C22⋊Q8—591no—
1179C22⋊Q8—591no—
1180C22⋊Q8—1181no—
1181C22⋊Q8—1181no—
1182C22⋊Q8—1181no—
1183C22⋊Q8—1181no—
1184C22⋊Q8—1181no—
1185C22⋊Q8—1181no—
1186C22⋊Q8—1181no—
1187#121—591no—
1188#121—591no—
1189#121—591no—
1190#121—591no—
1191#121—591no—
1192#121—591no—
1193#121—591no—
1194#121—591no—
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#121—1181no—
1206#121—1181no—
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×Q8C22×D5911yescharacteristic
1220C4×Q8C22×D5911yescharacteristic
1221C4×D4—21no—
1222C4×D4—591no—
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—1181no—
1240C4×D4—1181no—
1241C4×D4—1181no—
1242C4×D4—1181no—
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×D4C22×D5911yescharacteristic
1265C4×D4C22×D5911yescharacteristic
1266C4×D4C22×D5911yescharacteristic
1267C4×D4C22×D5911yescharacteristic
1268C4×D4C22×D5911yescharacteristic
1269#117—591no—
1270#117—591no—
1271#117—591no—
1272#117—591no—
1273#117—591no—
1274#117—1181no—
1275#117—1181no—
1276#117—1181no—
1277#117—1181no—
1278#117—1181no—
1279#117—1181no—
1280C2×C4⋊C4—21no—
1281C2×C4⋊C4—591no—
1282C2×C4⋊C4—591no—
1283C2×C4⋊C4—591no—
1284C2×C4⋊C4—591no—
1285C2×C4⋊C4—1181no—
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#107—591no—
1304#107—591no—
1305#107—591no—
1306#107—591no—
1307#107C22×D5911yescharacteristic
1308#107C22×D5911yescharacteristic
1309#106—591no—
1310#106—591no—
1311#106—591no—
1312#106—591no—
1313#106—591no—
1314#106C22×D5911yescharacteristic
1315C4⋊C8—591no—
1316C4⋊C8—591no—
1317C4⋊C8—591no—
1318C4⋊C8C22×D5911yescharacteristic
1319C4⋊C8C22×D5911yescharacteristic
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#102C22×D5911yescharacteristic
1347#102C22×D5911yescharacteristic
1348#102C22×D5911yescharacteristic
1349#102C22×D5911yescharacteristic
1350#102C22×D5911yescharacteristic
1351#102C22×D5911yescharacteristic
1352#102C22×D5911yescharacteristic
1353C22⋊C8—591no—
1354C22⋊C8—591no—
1355C22⋊C8—591no—
1356C22⋊C8—591no—
1357C22⋊C8—591no—
1358C22⋊C8—591no—
1359#97—591no—
1360#97—591no—
1361#97C22×D5911yescharacteristic
1362#97C22×D5911yescharacteristic
1363C4×C8—591no—
1364C4×C8—591no—
1365C4×C8—591no—
1366C4×C8—591no—
1367C4×C8—591no—
1368C4×C8C22×D5911yescharacteristic
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—1181no—
1383C2×Q8D4×D5911yescharacteristic
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—1181no—
1394C2×D4—1181no—
1395C2×D4—1181no—
1396C2×D4—1181no—
1397C2×D4—1181no—
1398C2×D4—1181no—
1399C2×D4—1181no—
1400C2×D4—1181no—
1401C2×D4—1181no—
1402C2×D4—1182no—
1403C2×D4—1182no—
1404C2×D4—1182no—
1405C2×D4—1182no—
1406C2×D4—1181no—
1407C2×D4—1181no—
1408C2×D4—1181no—
1409C2×D4—1181no—
1410C2×D4—1181no—
1411C2×D4—1181no—
1412C2×D4—1181no—
1413C2×D4—2364no—
1414C2×D4—2361no—
1415C2×D4—2361no—
1416C2×D4—2361no—
1417C2×D4—2361no—
1418C2×D4—2364no—
1419C2×D4C23×D5911yescharacteristic
1420C2×D4C23×D5911yescharacteristic
1421C2×D4C23×D5911yescharacteristic
1422C22×C4—21no—
1423C22×C4—21no—
1424C22×C4—21no—
1425C22×C4—21no—
1426C22×C4—21no—
1427C22×C4—591no—
1428C22×C4—591no—
1429C22×C4—591no—
1430C22×C4—591no—
1431C22×C4—591no—
1432C22×C4—591no—
1433C22×C4—591no—
1434C22×C4—591no—
1435C22×C4—591no—
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—1181no—
1452C22×C4—1181no—
1453C22×C4—4722no—
1454C22×C4—4722no—
1455C22×C4—4722no—
1456C22×C4—4722no—
1457Q16—2361no—
1458SD16—22no—
1459SD16—1182no—
1460SD16—1182no—
1461SD16—1182no—
1462SD16—2361no—
1463SD16—2361no—
1464D8—22no—
1465D8—22no—
1466D8—594no—
1467D8—1182no—
1468D8—1182no—
1469D8—1182no—
1470D8—2361no—
1471D8—2361no—
1472D8—2361no—
1473M16—1182no—
1474M16—1182no—
1475M16—2361no—
1476M16—2361no—
1477C2×C8—591no—
1478C2×C8—591no—
1479C2×C8—591no—
1480C2×C8—591no—
1481C2×C8—1182no—
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—591no—
1494C4⋊C4—591no—
1495C4⋊C4—591no—
1496C4⋊C4—591no—
1497C4⋊C4—591no—
1498C4⋊C4—591no—
1499C4⋊C4—591no—
1500C4⋊C4—1181no—
1501C4⋊C4—1181no—
1502C4⋊C4—1181no—
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⋊C4D4×D5911yescharacteristic
1518C4⋊C4D4×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—21no—
1530C22⋊C4—21no—
1531C22⋊C4—21no—
1532C22⋊C4—591no—
1533C22⋊C4—591no—
1534C22⋊C4—591no—
1535C22⋊C4—591no—
1536C22⋊C4—591no—
1537C22⋊C4—591no—
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⋊C4—1181no—
1566C22⋊C4—1181no—
1567C42—21no—
1568C42—591no—
1569C42—591no—
1570C42—591no—
1571C42—591no—
1572C42—591no—
1573C42—591no—
1574C42—591no—
1575C42—1181no—
1576C42—1181no—
1577C42—1181no—
1578C42—1181no—
1579C42—1181no—
1580C42C23×D5911yescharacteristic
1581C42C23×D5911yescharacteristic
1582C42C23×D5911yescharacteristic
1583C23—21no—
1584C23—21no—
1585C23—21no—
1586C23—591no—
1587C23—591no—
1588C23—591no—
1589C23—1181no—
1590C23—1181no—
1591C23—1181no—
1592C23—4721no—
1593C23—4721no—
1594C23—4721no—
1595C23—4721no—
1596C23—2362no—
1597C23—2362no—
1598C23—2362no—
1599C23—2362no—
1600C23—2362no—
1601C23—2362no—
1602C23—2362no—
1603C23—2362no—
1604Q8—21no—
1605Q8—21no—
1606Q8—41no—
1607Q8—81no—
1608Q8—1181no—
1609Q8—1181no—
1610Q8—4721no—
1611D4—21no—
1612D4—21no—
1613D4—21no—
1614D4—21no—
1615D4—21no—
1616D4—42no—
1617D4—81no—
1618D4—592no—
1619D4—1182no—
1620D4—1182no—
1621D4—1181no—
1622D4—1181no—
1623D4—1181no—
1624D4—1181no—
1625D4—1181no—
1626D4—4721no—
1627D4—4721no—
1628D4—4721no—
1629D4—4721no—
1630D4—4721no—
1631D4—2361no—
1632D4—2362no—
1633D4—2362no—
1634D4—2362no—
1635D4—2362no—
1636D4—2362no—
1637D4—2362no—
1638D4—2362no—
1639D4—2362no—
1640D4—2362no—
1641D4—2362no—
1642D4—2362no—
1643D4#41×D5912yes—
1644C2×C4—21no—
1645C2×C4—21no—
1646C2×C4—21no—
1647C2×C4—21no—
1648C2×C4—21no—
1649C2×C4—42no—
1650C2×C4—81no—
1651C2×C4—81no—
1652C2×C4—81no—
1653C2×C4—81no—
1654C2×C4—591no—
1655C2×C4—591no—
1656C2×C4—591no—
1657C2×C4—591no—
1658C2×C4—591no—
1659C2×C4—1182no—
1660C2×C4—1182no—
1661C2×C4—1182no—
1662C2×C4—1182no—
1663C2×C4—1181no—
1664C2×C4—1181no—
1665C2×C4—1181no—
1666C2×C4—1181no—
1667C2×C4—1181no—
1668C2×C4—1181no—
1669C2×C4—1181no—
1670C2×C4—1181no—
1671C2×C4—1181no—
1672C2×C4—1181no—
1673C2×C4—1181no—
1674C2×C4—4721no—
1675C2×C4—4721no—
1676C2×C4—4721no—
1677C2×C4—4721no—
1678C2×C4—4721no—
1679C2×C4—4721no—
1680C2×C4—4721no—
1681C2×C4—4721no—
1682C2×C4—2361no—
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×C4C2×D4×D5911yescharacteristic
1694C2×C4C2×D4×D5911yescharacteristic
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—21no—
1704C8—592no—
1705C8—1181no—
1706C8—1181no—
1707C8—1181no—
1708C22—22no—
1709C22—41no—
1710C22—41no—
1711C22—41no—
1712C22—41no—
1713C22—41no—
1714C22—41no—
1715C22—41no—
1716C22—41no—
1717C22—592no—
1718C22—1181no—
1719C22—1181no—
1720C22—1181no—
1721C22—1181no—
1722C22—1181no—
1723C22—1181no—
1724C22—1181no—
1725C22—1181no—
1726C22—1182no—
1727C22—4724no—
1728C22—4724no—
1729C22—4724no—
1730C22—4724no—
1731C22—2361no—
1732C22—2361no—
1733C22—2361no—
1734C22—2361no—
1735C22—2361no—
1736C22—2361no—
1737C22—2361no—
1738C22—2361no—
1739C22C22×D4×D5911yescharacteristic
1740C4—21no—
1741C4—21no—
1742C4—21no—
1743C4—21no—
1744C4—21no—
1745C4—21no—
1746C4—41no—
1747C4—41no—
1748C4—41no—
1749C4—41no—
1750C4—41no—
1751C4—592no—
1752C4—1181no—
1753C4—1181no—
1754C4—1181no—
1755C4—1181no—
1756C4—2361no—
1757C4—2361no—
1758C4—2361no—
1759C4—2361no—
1760C4—2361no—
1761C4C2×#41×D5911yescharacteristic
1762C4#1683823911yescharacteristic
1763C2—42no—
1764C2—81no—
1765C2—81no—
1766C2—1182no—
1767C2—4721no—
1768C2—4721no—
1769C2—2361no—
1770C2—2361no—
1771C2—2362no—
1772C2#2143758511yescharacteristic
1773C2#575×D5911yescharacteristic
1774C2#576×D5911yescharacteristic
subgroupG/H
centerC22C22×D4×D59
commutator, cosocleC2×C4×C59C25
FrattiniC2×C4C24×D59
FittingC59×#3370C2
socleC22×C59C23×D4
hypercenter#3370D59
hypocenterC59#61444
LCSG ▷ C2×C4×C59 ▷ C2×C59 ▷ C59
UCSC1 ◁ C22 ◁ C4×Q8 ◁ #3370

Complements

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

NH ≅ G/Ntype
1. #21437707C2semidirect
2. #21437705C2semidirect
3. #21437180C2semidirect
4. #21437050C2semidirect
5. #21436851C2semidirect
6. #21436699C2semidirect
7. #21436588C2semidirect
8. #21436578C2semidirect
9. #21436302C2semidirect
10. #21436296C2semidirect
11. #21436242C2semidirect
12. #21436236C2semidirect
13. #21436182C2semidirect
14. #21436176C2semidirect
15. #21435702C2semidirect
16. #21435582C2semidirect
17. #21435571C2semidirect
18. #21434694C2semidirect
19. #21434690C2semidirect
20. #21434665C2semidirect
21. #21434148C2semidirect
22. #21434142C2semidirect
23. #21434121C2semidirect
24. #21434111C2semidirect
25. #21434098C2semidirect
26. #21434095C2semidirect
27. #21433061C2semidirect
28. #21432907C2semidirect
29. #21432901C2semidirect
30. C4×D8×D59C2semidirect
31. C59×#3370C2semidirect
35. #16838137C22semidirect
36. #16838113C22semidirect
37. #16838112C22semidirect
38. #16838112C22semidirect
40. #16838105C22semidirect
43. #16838102C22semidirect
50. #16838047C22semidirect
53. #16838045C22semidirect
55. D4×D236C22semidirect
56. #16838037C22semidirect
57. #16837953C22semidirect
58. #16837950C22semidirect
60. #16837937C22semidirect
61. #16837937C22semidirect
63. #16837931C22semidirect
64. #16837931C22semidirect
70. C4×#11745689C22semidirect
71. C4×#11745687C22semidirect
74. C4×D4×D59C22semidirect
75. C4×D4×D59C22semidirect
76. C4×D4×D59C22semidirect
77. C4×D4×D59C22semidirect
78. #16837812C22semidirect
79. #16837808C22semidirect
80. #16837801C22semidirect
81. #16837792C22semidirect
82. #16837789C22semidirect
83. #16837784C22semidirect
84. #16837767C22semidirect
85. #16837762C22semidirect
86. #16837757C22semidirect
87. #16837745C22semidirect
88. #16837742C22semidirect
89. #16837739C22semidirect
90. #16837736C22semidirect
91. #16837728C22semidirect
92. #16837725C22semidirect
93. #16837722C22semidirect
94. #16837719C22semidirect
95. #16837717C22semidirect
96. #16837717C22semidirect
97. #16837714C22semidirect
98. #16837714C22semidirect
99. #16837710C22semidirect
100. #16837703C22semidirect
101. #16837702C22semidirect
102. #16837702C22semidirect
103. #16837699C22semidirect
104. #16837699C22semidirect
105. #16837683C22semidirect
106. #16837682C22semidirect
107. #16837679C22semidirect
108. #16837654C22semidirect
109. #16837654C22semidirect
110. #16837654C22semidirect
111. #16837654C22semidirect
112. #16837651C22semidirect
113. #16837651C22semidirect
114. #16837647C22semidirect
115. #16837647C22semidirect
116. #16837642C22semidirect
118. #16837634C22semidirect
119. #16837630C22semidirect
120. #16837624C22semidirect
121. #16837621C22semidirect
122. #16837618C22semidirect
123. #16837618C22semidirect
124. #16837617C22semidirect
125. #16837614C22semidirect
127. #16837597C22semidirect
128. #16837594C22semidirect
129. #16837567C22semidirect
130. #16837561C22semidirect
131. #16837554C22semidirect
132. #16837551C22semidirect
136. #16837537C22semidirect
137. #16837537C22semidirect
139. #16837534C22semidirect
140. #16837534C22semidirect
141. #16837533C22semidirect
142. #16837515C22semidirect
145. #16837504C22semidirect
146. #16837502C22semidirect
147. #16837500C22semidirect
148. #16837494C22semidirect
149. #16837493C22semidirect
150. #16837493C22semidirect
151. SD16×Dic59C22semidirect
152. #16837489C22semidirect
153. #16837487C22semidirect
154. #16837487C22semidirect
155. C4×D472C22semidirect
156. D8×Dic59C22semidirect
157. D8×Dic59C22semidirect
158. #16837484C22semidirect
159. #16837484C22semidirect
161. C4×#11745669C22semidirect
163. #16837482C22semidirect
164. #16837482C22semidirect
165. #16837482C22semidirect
166. #16837482C22semidirect
167. #16837481C22semidirect
168. #16837479C22semidirect
169. #16837475C22semidirect
170. #16837475C22semidirect
171. #16837472C22semidirect
172. #16837472C22semidirect
173. #16837454C22semidirect
174. #16837454C22semidirect
175. #16837454C22semidirect
176. #16837443C22semidirect
177. #16837441C22semidirect
178. #107×D59C22semidirect
179. #16837405C22semidirect
180. #16837405C22semidirect
181. #16837402C22semidirect
182. #16837400C22semidirect
183. #102×D59C22semidirect
184. #102×D59C22semidirect
185. #16837354C22semidirect
186. #16837354C22semidirect
187. C4×C8×D59C22semidirect
188. C59×#559C22semidirect
189. C59×#554C22semidirect
190. C59×#490C22semidirect
191. C59×#489C22semidirect
192. C59×#488C22semidirect
193. C59×#479C22semidirect
194. C59×#478C22semidirect
195. C59×#474C22semidirect
196. C59×#463C22semidirect
197. C59×#463C22semidirect
199. C59×#446C22semidirect
200. C59×#442C22semidirect
201. C59×#440C22semidirect
202. C4×D8×C59C22semidirect
618. #11745669#41semidirect
881. #3370D59semidirect
923. #559C2×D59semidirect
927. #554C2×D59semidirect
974. #490C2×D59semidirect
976. #489C2×D59semidirect
978. #488C2×D59semidirect
992. #479C2×D59semidirect
998. #478C2×D59semidirect
1002. #474C2×D59semidirect
1021. #463C2×D59semidirect
1022. #463C2×D59semidirect
1040. #446C2×D59semidirect
1044. #442C2×D59semidirect
1048. #440C2×D59semidirect
1068. C4×D8C2×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
#214377052
#214371802
#214370502
#214368512
#214366992
#214365882
#214365782
#214363022
#214362962
#214362422
#214362362
#214361822
#214361762
#214357022
#214355822
#214355712
#214346942
#214346902
#214346652
#214341482
#214341422
#214341212
#214341112
#214340982
#214340952
#214330612
#214329072
#214329012
C4×D8×D592
C59×#33702
#6144459