Finite Group Databasebeta

← #29470692

Subgroups — #29470692

Order 15104.

1920 conjugacy classes of subgroups.

The subgroup lattice has 1744 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21437707C211yesmaximal, characteristic, complemented
2#21437662C211yesmaximal, characteristic, complemented
3#21437164C211yesmaximal, characteristic, complemented
4#21436923C211yesmaximal, characteristic, complemented
5#21436849C211yesmaximal, characteristic, complemented
6#21436595C211yesmaximal, characteristic, complemented
7#21436550C211yesmaximal, characteristic, complemented
8#21436474C211yesmaximal, characteristic, complemented
9#21436249C211yesmaximal, characteristic, complemented
10#21436174C211yesmaximal, characteristic, complemented
11#21436114C211yesmaximal, characteristic, complemented
12#21436069C211yesmaximal, characteristic, complemented
13#21435943C211yesmaximal, characteristic, complemented
14#21435928C211yesmaximal, characteristic, complemented
15#21435782C211yesmaximal, characteristic, complemented
16#21435623C211yesmaximal, characteristic, complemented
17#21435578C211yesmaximal, characteristic, complemented
18#21434827C211yesmaximal, characteristic, complemented
19#21434807C211yesmaximal, characteristic, complemented
20#21434796C211yesmaximal, characteristic, complemented
21#21434249C211yesmaximal, characteristic, complemented
22#21434239C211yesmaximal, characteristic, complemented
23#21434239C211yesmaximal, characteristic, complemented
24#21434210C211yesmaximal, characteristic, complemented
25#21434210C211yesmaximal, characteristic, complemented
26#21434197C211yesmaximal, characteristic, complemented
27#21433109C211yesmaximal, characteristic, complemented
28C4×#14273751C211yesmaximal, characteristic, complemented
29#21432893C211yesmaximal, characteristic, complemented
30#442×D59C211yesmaximal, characteristic, complemented
31C59×#3389C211yesmaximal, characteristic, complemented
32C2×#14273751C2211yescharacteristic
33C2×#14273746C2211yescharacteristic
34C2×D8×D59C2211yescharacteristic
35#16838137C2211yescharacteristic, complemented
36#16838125C2211yescharacteristic, complemented
37#16838118C2211yescharacteristic, complemented
38#16838113C2211yescharacteristic
39#16838105C2211yescharacteristic
40#16838105C2211yescharacteristic, complemented
41#16838100—21no—
42#16838100—21no—
43#16838094—21no—
44#16838090C2211yescharacteristic
45#16838090C2211yescharacteristic, complemented
46#16838079—21no—
47#16838079—21no—
48#16838079—21no—
49#16838079—21no—
50#16838056C2211yescharacteristic, complemented
51#16838047C2211yescharacteristic
52#16838047C2211yescharacteristic
53#16838047C2211yescharacteristic, complemented
54#16838047C2211yescharacteristic, complemented
55#16838043—21no—
56D4×D236C2211yescharacteristic
57#16837957C2211yescharacteristic, complemented
58#16837953C2211yescharacteristic, complemented
59#16837938—21no—
60#16837938—21no—
61#16837938—21no—
62#16837937C2211yescharacteristic
63#16837937C2211yescharacteristic, complemented
64#16837937C2211yescharacteristic, complemented
65#16837937C2211yescharacteristic, complemented
66#16837915—21no—
67#16837915—21no—
68#16837915—21no—
69C4×#11745689C2211yescharacteristic
70C4×#11745687C2211yescharacteristic, complemented
71C4×#11745687C2211yescharacteristic, complemented
72C4×#11745687C2211yescharacteristic, complemented
73C2×#14273689—21no—
74C4×D4×D59C2211yescharacteristic
75C4×D4×D59C2211yescharacteristic, complemented
76C4×D4×D59C2211yescharacteristic, complemented
77C2×#14273685—21no—
78#16837796C2211yescharacteristic, complemented
79#16837791C2211yescharacteristic
80#16837786C2211yescharacteristic, complemented
81#16837772C2211yescharacteristic, complemented
82#16837768C2211yescharacteristic, complemented
83#16837764C2211yescharacteristic, complemented
84#16837764C2211yescharacteristic, complemented
85#16837759C2211yescharacteristic, complemented
86#16837759C2211yescharacteristic, complemented
87#16837745C2211yescharacteristic, complemented
88#16837745C2211yescharacteristic, complemented
89#16837739C2211yescharacteristic, complemented
90#16837739C2211yescharacteristic, complemented
91#16837734C2211yescharacteristic, complemented
92#16837734C2211yescharacteristic, complemented
93#16837729C2211yescharacteristic, complemented
94#16837729C2211yescharacteristic, complemented
95#16837728C2211yescharacteristic, complemented
96#16837728C2211yescharacteristic, complemented
97#16837717C2211yescharacteristic
98#16837717C2211yescharacteristic, complemented
99#16837706C2211yescharacteristic, complemented
100#16837706C2211yescharacteristic, complemented
101#16837699C2211yescharacteristic, complemented
102#16837699C2211yescharacteristic, complemented
103#16837684C2211yescharacteristic, complemented
104#16837679C2211yescharacteristic, complemented
105#16837661C2211yescharacteristic, complemented
106#16837656C2211yescharacteristic
107#16837649C2211yescharacteristic, complemented
108#16837649C2211yescharacteristic, complemented
109#16837644C2211yescharacteristic, complemented
110#16837644C2211yescharacteristic, complemented
111#16837639C2211yescharacteristic, complemented
112#16837639C2211yescharacteristic, complemented
113#16837632C2211yescharacteristic
114#16837632C2211yescharacteristic
115#16837632C2211yescharacteristic, complemented
116#16837632C2211yescharacteristic, complemented
117#16837625C2211yescharacteristic, complemented
118#16837625C2211yescharacteristic, complemented
119#16837618C2211yescharacteristic, complemented
120#16837618C2211yescharacteristic, complemented
121#16837617C2211yescharacteristic
122#16837617C2211yescharacteristic
123#16837617C2211yescharacteristic, complemented
124#16837617C2211yescharacteristic, complemented
125#16837608C2211yescharacteristic, complemented
126#16837607C2211yescharacteristic, complemented
127#16837603C2211yescharacteristic, complemented
128#16837597C2211yescharacteristic
129#16837565C2211yescharacteristic, complemented
130#16837565C2211yescharacteristic, complemented
131#16837554C2211yescharacteristic
132#16837554C2211yescharacteristic
133#16837554C2211yescharacteristic, complemented
134#16837554C2211yescharacteristic, complemented
135#16837548C2211yescharacteristic
136#16837548C2211yescharacteristic
137#16837548C2211yescharacteristic, complemented
138#16837548C2211yescharacteristic, complemented
139#16837537C2211yescharacteristic
140#16837537C2211yescharacteristic
141#16837533C2211yescharacteristic, complemented
142#16837515C2211yescharacteristic, complemented
143#16837514C2211yescharacteristic
144#16837513C2211yescharacteristic, complemented
145#16837513C2211yescharacteristic, complemented
146#16837512C2211yescharacteristic
147#16837512C2211yescharacteristic, complemented
148#16837511C2211yescharacteristic
149#16837511C2211yescharacteristic, complemented
150#16837511C2211yescharacteristic, complemented
151#16837510C2211yescharacteristic, complemented
152#16837508C2211yescharacteristic, complemented
153#16837508C2211yescharacteristic, complemented
154#16837502C2211yescharacteristic, complemented
155#16837502C2211yescharacteristic, complemented
156#16837501C2211yescharacteristic, complemented
157#16837501C2211yescharacteristic, complemented
158#16837501C2211yescharacteristic, complemented
159#16837501C2211yescharacteristic, complemented
160#16837501C2211yescharacteristic, complemented
161#16837499C2211yescharacteristic, complemented
162#16837499C2211yescharacteristic, complemented
163#16837499C2211yescharacteristic, complemented
164C4×#11745660C2211yescharacteristic, complemented
165C4×#11745670C2211yescharacteristic, complemented
166C4×#11745669C2211yescharacteristic, complemented
167#16837475C2211yescharacteristic
168#16837475C2211yescharacteristic, complemented
169#16837472C2211yescharacteristic
170#16837472C2211yescharacteristic, complemented
171C8×D236C2211yescharacteristic, complemented
172#16837467C2211yescharacteristic, complemented
173#16837458C2211yescharacteristic, complemented
174#16837458C2211yescharacteristic, complemented
175#16837458C2211yescharacteristic, complemented
176#16837443C2211yescharacteristic, complemented
177#16837437C2211yescharacteristic, complemented
178#106×D59C2211yescharacteristic, complemented
179#16837405C2211yescharacteristic, complemented
180#16837400C2211yescharacteristic, complemented
181#16837395C2211yescharacteristic, complemented
182#16837395C2211yescharacteristic, complemented
183#102×D59C2211yescharacteristic
184#102×D59C2211yescharacteristic, complemented
185C4×#11745659C2211yescharacteristic, complemented
186#97×D59C2211yescharacteristic, complemented
187#97×D59C2211yescharacteristic, complemented
188C59×#554C2211yescharacteristic, complemented
189C59×#554C2211yescharacteristic, complemented
190C59×#501C2211yescharacteristic, complemented
191C59×#501C2211yescharacteristic, complemented
192C59×#499C2211yescharacteristic, complemented
193C59×#478C2211yescharacteristic, complemented
194C59×#478C2211yescharacteristic, complemented
195C59×#478C2211yescharacteristic, complemented
196C59×#478C2211yescharacteristic, complemented
197C59×#474C2211yescharacteristic, complemented
198C59×#474C2211yescharacteristic, complemented
199C59×#446C2211yescharacteristic, complemented
200C59×#442C2211yescharacteristic
201C59×#442C2211yescharacteristic
202C4×D8×C59C2211yescharacteristic
203C2×#11745689—21no—
204C2×#11745689D411yescharacteristic
205C2×#11745687C2311yescharacteristic
206C2×#11745687C2311yescharacteristic
207C2×#11745687C2311yescharacteristic
208C22×D236—21no—
209C2×D4×D59C2311yescharacteristic
210C2×D4×D59C2311yescharacteristic
211C2×D4×D59C2311yescharacteristic
212C22×C4×D59—21no—
213C22×C4×D59—21no—
214C22×C4×D59—21no—
215#14273751—24no—
216#14273746—24no—
217C2×Dic236C2311yescharacteristic
218C2×Dic236C2311yescharacteristic
219C2×#11745660C2311yescharacteristic
220C2×#11745660C2311yescharacteristic
221C2×#11745660C2311yescharacteristic
222C2×#11745660C2311yescharacteristic
223C2×#11745660C2311yescharacteristic
224C2×#11745670C2311yescharacteristic
225C2×#11745670C2311yescharacteristic
226C2×#11745670C2311yescharacteristic
227C2×D472C2311yescharacteristic
228C2×D472C2311yescharacteristic
229C2×#11745669C2311yescharacteristic
230C2×#11745669C2311yescharacteristic
231C2×#11745669C2311yescharacteristic
232D8×D59—24no—
233C2×#11745659C2311yescharacteristic
234C2×#11745659C2311yescharacteristic
235C2×C8×D59C2311yescharacteristic
236C2×C8×D59C2311yescharacteristic
237C2×C8×D59C2311yescharacteristic
238C2×C8×D59C2311yescharacteristic
239#14273727C2311yescharacteristic
240#14273724C2311yescharacteristic
241#14273722—21no—
242#14273722—21no—
243#14273722—21no—
244#14273722—21no—
245#14273722—21no—
246#14273722—21no—
247#14273722—21no—
248#14273722—21no—
249#14273722—21no—
250#14273722—21no—
251#14273718—21no—
252#14273718—21no—
253#14273718—21no—
254#14273718—21no—
255#14273716—21no—
256#14273716—21no—
257#14273716—21no—
258#14273716—21no—
259#14273715C2311yescharacteristic
260#14273715C2311yescharacteristic
261#14273715C2311yescharacteristic
262#14273715C2311yescharacteristic
263#14273712—21no—
264#14273712—21no—
265#14273712—21no—
266#14273712—21no—
267#14273712—21no—
268#14273712—21no—
269#14273712—21no—
270#14273712—21no—
271#14273712—21no—
272#14273712—21no—
273#14273711—21no—
274#14273711—21no—
275#14273711—21no—
276#14273711—21no—
277#14273711—21no—
278#14273711—21no—
279#14273707C2311yescharacteristic
280#14273707C2311yescharacteristic
281#14273707C2311yescharacteristic
282#14273707C2311yescharacteristic
283#14273707C2311yescharacteristic
284#14273707C2311yescharacteristic
285#14273703—21no—
286#14273703—21no—
287#14273703—21no—
288#14273703—21no—
289#14273702—21no—
290#14273702—21no—
291#14273702—21no—
292#14273702—21no—
293#14273702C2311yescharacteristic
294#14273702C2311yescharacteristic
295#14273702C2311yescharacteristic
296#14273702C2311yescharacteristic
297#14273702C2311yescharacteristic
298#14273702C2311yescharacteristic
299#14273701—21no—
300#14273701—21no—
301#14273701—21no—
302#14273701—21no—
303#14273701—21no—
304#14273701—21no—
305#14273697—21no—
306#14273697—21no—
307#14273697—21no—
308#14273697—21no—
309#14273697—21no—
310#14273697—21no—
311Q8×Dic59—21no—
312Q8×Dic59D411yescharacteristic
313C4×Dic118C2311yescharacteristic
314C4×Dic118C2311yescharacteristic
315C4×Dic118C2311yescharacteristic
316#14273692C2311yescharacteristic
317#14273692C2311yescharacteristic
318#14273692C2311yescharacteristic
319C4×D236C2311yescharacteristic
320C4×D236C2311yescharacteristic
321C4×D236C2311yescharacteristic
322C4×D236C2311yescharacteristic
323C4×D236C2311yescharacteristic
324C4×D236C2311yescharacteristic
325D4×Dic59C2311yescharacteristic
326D4×Dic59C2311yescharacteristic
327#14273689—21no—
328#14273689—21no—
329#14273689—21no—
330#14273689—21no—
331#14273689—21no—
332#14273689—21no—
333#14273689—21no—
334#14273689—21no—
335#14273689—21no—
336#14273689D411yescharacteristic
337#14273689D411yescharacteristic
338#14273689D411yescharacteristic
339#14273689C2311yescharacteristic
340#14273689C2311yescharacteristic
341#14273689C2311yescharacteristic
342C4×C22⋊D59—21no—
343C4×C22⋊D59—21no—
344C4×C22⋊D59—21no—
345C4×C22⋊D59—21no—
346C4×C22⋊D59—21no—
347C4×C22⋊D59—21no—
348(C22⋊D59)⋊C4—21no—
349(C22⋊D59)⋊C4—21no—
350(C22⋊D59)⋊C4—21no—
351(C22⋊D59)⋊C4—21no—
352(C22⋊D59)⋊C4—21no—
353(C22⋊D59)⋊C4—21no—
354#14273685—21no—
355#14273685—21no—
356#14273685—21no—
357#14273685—21no—
358#14273685—21no—
359#14273685—21no—
360#14273685—21no—
361#14273685—21no—
362#14273685—21no—
363#14273685D411yescharacteristic
364#14273685D411yescharacteristic
365#14273685D411yescharacteristic
366#14273685C2311yescharacteristic
367#14273685C2311yescharacteristic
368#14273685C2311yescharacteristic
369#14273683—21no—
370#14273683—21no—
371#14273683—21no—
372C2×C4⋊Dic59—21no—
373C4⋊C4×D59C2311yescharacteristic
374C4⋊C4×D59C2311yescharacteristic
375C4⋊C4×D59C2311yescharacteristic
376C2×(C2×D59)⋊C4—21no—
377C2×(C2×D59)⋊C4—21no—
378C2×(C2×D59)⋊C4—21no—
379C2×(C2×D59)⋊C4—21no—
380C22⋊C4×D59—21no—
381C22⋊C4×D59—21no—
382C22⋊C4×D59—21no—
383C2×C4×Dic59—21no—
384C2×C4×Dic59—21no—
385C2×C4×Dic59—21no—
386C42×D59C2311yescharacteristic
387C42×D59C2311yescharacteristic
388C42×D59C2311yescharacteristic
389#14273660C2311yescharacteristic
390#14273660C2311yescharacteristic
391#14273660C2311yescharacteristic
392#14273659C2311yescharacteristic
393#14273658C2311yescharacteristic
394#14273658C2311yescharacteristic
395#14273658C2311yescharacteristic
396C4⋊(C59⋊C8)C2311yescharacteristic
397C4⋊(C59⋊C8)C2311yescharacteristic
398C4⋊(C59⋊C8)C2311yescharacteristic
399#14273652C2311yescharacteristic
400#14273652C2311yescharacteristic
401#14273652C2311yescharacteristic
402#14273650C2311yescharacteristic
403#14273650C2311yescharacteristic
404#14273650C2311yescharacteristic
405#14273650C2311yescharacteristic
406#14273650C2311yescharacteristic
407#14273650C2311yescharacteristic
408#14273650C2311yescharacteristic
409#14273650C2311yescharacteristic
410#14273650C2311yescharacteristic
411#14273649C2311yescharacteristic
412#14273649C2311yescharacteristic
413#14273649C2311yescharacteristic
414#14273648C2311yescharacteristic
415#14273648C2311yescharacteristic
416#14273647C2311yescharacteristic
417#14273647C2311yescharacteristic
418#14273647C2311yescharacteristic
419#14273647C2311yescharacteristic
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
433#14273637C2311yescharacteristic
434#14273637C2311yescharacteristic
435#14273637C2311yescharacteristic
436#14273637C2311yescharacteristic
437C4×C59⋊C8C2311yescharacteristic
438C2×D8×C59C2311yescharacteristic
439C4⋊Q8×C59C2311yescharacteristic
440C4⋊Q8×C59C2311yescharacteristic
441#125×C59C2311yescharacteristic
442#125×C59C2311yescharacteristic
443#125×C59C2311yescharacteristic
444#125×C59C2311yescharacteristic
445C22⋊Q8×C59—21no—
446C22⋊Q8×C59—21no—
447C22⋊Q8×C59—21no—
448C22⋊Q8×C59—21no—
449C22⋊Q8×C59—21no—
450C22⋊Q8×C59—21no—
451C4×Q8×C59C2311yescharacteristic
452C4×D4×C59C2311yescharacteristic
453C4×D4×C59C2311yescharacteristic
454C4×D4×C59C2311yescharacteristic
455C4×D4×C59C2311yescharacteristic
456C4×D4×C59C2311yescharacteristic
457C4×D4×C59C2311yescharacteristic
458C2×C4⋊C4×C59—21no—
459C2×C4⋊C4×C59—21no—
460#107×C59C2311yescharacteristic
461#107×C59C2311yescharacteristic
462#107×C59C2311yescharacteristic
463#107×C59C2311yescharacteristic
464#107×C59C2311yescharacteristic
465#106×C59C2311yescharacteristic
466#106×C59C2311yescharacteristic
467#106×C59C2311yescharacteristic
468#106×C59C2311yescharacteristic
469C4⋊C8×C59C2311yescharacteristic
470C4⋊C8×C59C2311yescharacteristic
471C4⋊C8×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—
484C2×Q8×C59—21no—
485C2×Q8×C59—21no—
486C2×Q8×C59C2×D411yescharacteristic
487C2×D4×C59C2411yescharacteristic
488C2×D4×C59C2411yescharacteristic
489C22×C4×C59—21no—
490C22×C4×C59—21no—
491C22×C4×C59—21no—
492C22×C4×C59—21no—
493C22×C4×C59—21no—
494C22×C4×C59—21no—
495C2×C22⋊D59—21no—
496C2×C22⋊D59—21no—
497C2×C22⋊D59—21no—
498C2×C22⋊D59—21no—
499C2×C22⋊D59—21no—
500C2×C22⋊D59—21no—
501C22×Dic59—21no—
502C22×Dic59—21no—
503C22×Dic59—21no—
504C22×Dic59—21no—
505C22×Dic59—21no—
506#11745689—42no—
507#11745689—82no—
508#11745687—22no—
509#11745687—22no—
510#11745687—22no—
511#11745687—41no—
512#11745687—41no—
513#11745687—41no—
514D4×D59—22no—
515D4×D59—22no—
516D4×D59—22no—
517D4×D59—41no—
518D4×D59—41no—
519D4×D59—41no—
520C2×D236—21no—
521C2×D236—21no—
522C2×D236—21no—
523C2×D236—21no—
524C2×D236—21no—
525C2×D236—21no—
526C2×D236—21no—
527C2×D236—21no—
528C2×D236—44no—
529C2×D236C2×D411yescharacteristic
530C2×D236C2×D411yescharacteristic
531C2×D236C2×D411yescharacteristic
532C2×D236C2411yescharacteristic
533C2×D236C2411yescharacteristic
534C2×D236C2411yescharacteristic
535C2×C4×D59—21no—
536C2×C4×D59—21no—
537C2×C4×D59—21no—
538C2×C4×D59—21no—
539C2×C4×D59—21no—
540C2×C4×D59—21no—
541C2×C4×D59—21no—
542C2×C4×D59—21no—
543C2×C4×D59—21no—
544C2×C4×D59—44no—
545C2×C4×D59—82no—
546C2×C4×D59—82no—
547C2×C4×D59C2×D411yescharacteristic
548C2×C4×D59C2×D411yescharacteristic
549C2×C4×D59C2×D411yescharacteristic
550C2×C4×D59C2×D411yescharacteristic
551C2×C4×D59C2×D411yescharacteristic
552C2×C4×D59C2×D411yescharacteristic
553C2×C4×D59C2411yescharacteristic
554C2×C4×D59C2411yescharacteristic
555C2×C4×D59C2411yescharacteristic
556C2×Dic118C2411yescharacteristic
557C2×Dic118C2411yescharacteristic
558C2×Dic118C2411yescharacteristic
559D8×C59#4114yescomplemented
560C2×C8×C59C2411yescharacteristic
561C2×C8×C59C2411yescharacteristic
562C2×C8×C59C2411yescharacteristic
563C2×C8×C59C2411yescharacteristic
564C4⋊C4×C59—21no—
565C4⋊C4×C59—21no—
566C4⋊C4×C59—21no—
567C4⋊C4×C59—21no—
568C4⋊C4×C59—21no—
569C4⋊C4×C59—21no—
570C4⋊C4×C59—21no—
571C4⋊C4×C59—21no—
572C4⋊C4×C59—21no—
573C4⋊C4×C59—21no—
574C4⋊C4×C59C2×D411yescharacteristic
575C4⋊C4×C59C2×D411yescharacteristic
576C4⋊C4×C59C2×D411yescharacteristic
577C4⋊C4×C59C2411yescharacteristic
578C4⋊C4×C59C2411yescharacteristic
579C4⋊C4×C59C2411yescharacteristic
580C4⋊C4×C59C2411yescharacteristic
581C4⋊C4×C59C2411yescharacteristic
582C4⋊C4×C59C2411yescharacteristic
583C22⋊C4×C59—21no—
584C22⋊C4×C59—21no—
585C22⋊C4×C59—21no—
586C22⋊C4×C59—21no—
587C22⋊C4×C59—21no—
588C22⋊C4×C59—21no—
589C42×C59C2411yescharacteristic
590C42×C59C2411yescharacteristic
591C42×C59C2411yescharacteristic
592C22⋊Dic59—21no—
593C22⋊Dic59—21no—
594#11745670—22no—
595#11745670—22no—
596#11745670—22no—
597#11745669—22no—
598#11745669—22no—
599#11745669—22no—
600(C2×D59)⋊C4—21no—
601(C2×D59)⋊C4—21no—
602(C2×D59)⋊C4—21no—
603(C2×D59)⋊C4—21no—
604(C2×D59)⋊C4—21no—
605(C2×D59)⋊C4—21no—
606(C2×D59)⋊C4—21no—
607(C2×D59)⋊C4—21no—
608(C2×D59)⋊C4—21no—
609(C2×D59)⋊C4—21no—
610(C2×D59)⋊C4—21no—
611(C2×D59)⋊C4—21no—
612(C2×D59)⋊C4—21no—
613(C2×D59)⋊C4—21no—
614(C2×D59)⋊C4—21no—
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)⋊C4C2×D411yescharacteristic
630(C2×D59)⋊C4C2×D411yescharacteristic
631(C2×D59)⋊C4C2×D411yescharacteristic
632(C2×D59)⋊C4C2×D411yescharacteristic
633(C2×D59)⋊C4C2×D411yescharacteristic
634(C2×D59)⋊C4C2×D411yescharacteristic
635C4⋊Dic59—21no—
636C4⋊Dic59—21no—
637C4⋊Dic59—21no—
638C4⋊Dic59—21no—
639C4⋊Dic59—21no—
640C4⋊Dic59—21no—
641C4⋊Dic59—21no—
642C4⋊Dic59—21no—
643C4⋊Dic59C2×D411yescharacteristic
644C4⋊Dic59C2×D411yescharacteristic
645C4⋊Dic59C2×D411yescharacteristic
646C4⋊Dic59C2411yescharacteristic
647C4⋊Dic59C2411yescharacteristic
648Dic59⋊C4—21no—
649Dic59⋊C4—21no—
650Dic59⋊C4—21no—
651Dic59⋊C4—21no—
652Dic59⋊C4—21no—
653Dic59⋊C4—21no—
654Dic59⋊C4—21no—
655Dic59⋊C4—21no—
656Dic59⋊C4—21no—
657C4×Dic59—21no—
658C4×Dic59—21no—
659C4×Dic59—21no—
660C4×Dic59—21no—
661C4×Dic59—21no—
662C4×Dic59—21no—
663C4×Dic59—21no—
664C4×Dic59—21no—
665C4×Dic59—21no—
666C4×Dic59C2×D411yescharacteristic
667C4×Dic59C2×D411yescharacteristic
668C4×Dic59C2×D411yescharacteristic
669C4×Dic59C2×D411yescharacteristic
670C4×Dic59C2×D411yescharacteristic
671C4×Dic59C2×D411yescharacteristic
672C4×Dic59C2411yescharacteristic
673C2×C59⋊C8C2411yescharacteristic
674C2×C59⋊C8C2411yescharacteristic
675C2×C59⋊C8C2411yescharacteristic
676C2×C59⋊C8C2411yescharacteristic
677Dic236—22no—
678Dic236—41no—
679D472—22no—
680D472—41no—
681#11745660—22no—
682#11745660—41no—
683#11745660—41no—
684#11745660—41no—
685#11745660—41no—
686#11745659—22no—
687#11745659—41no—
688C8×D59—22no—
689C8×D59—22no—
690C8×D59—41no—
691C8×D59—41no—
692C23×C59—21no—
693C23×C59—21no—
694C22×D59—21no—
695C22×D59—21no—
696C22×D59—21no—
697C22×D59—42no—
698C22×D59—42no—
699C22×D59—42no—
700C22×D59—42no—
701C22×D59—42no—
702C22×D59—42no—
703C22×D59—81no—
704C22×D59—81no—
705C22×D59—81no—
706C22×D59C22×D411yescharacteristic
707C22×D59C22×D411yescharacteristic
708C22×D59C22×D411yescharacteristic
709Q8×C59—41no—
710Q8×C59—81no—
711Q8×C59—81no—
712D4×C59—21no—
713D4×C59—21no—
714D4×C59C2×#4112yes—
715D4×C59C2×#4112yes—
716C2×C4×C59—21no—
717C2×C4×C59—21no—
718C2×C4×C59—21no—
719C2×C4×C59—21no—
720C2×C4×C59—21no—
721C2×C4×C59—21no—
722C2×C4×C59—42no—
723C2×C4×C59—42no—
724C2×C4×C59—81no—
725C2×C4×C59—81no—
726C2×C4×C59—81no—
727C2×C4×C59—81no—
728C2×C4×C59C22×D411yescharacteristic
729C2×C4×C59C22×D411yescharacteristic
730C2×C4×C59C22×D411yescharacteristic
731C2×C4×C59C22×D411yescharacteristic
732C2×C4×C59C22×D411yescharacteristic
733C2×C4×C59C22×D411yescharacteristic
734C2×C4×C59C2511yescharacteristic
735C22⋊D59—42no—
736C22⋊D59—42no—
737C22⋊D59—42no—
738C22⋊D59—42no—
739C22⋊D59—42no—
740C22⋊D59—42no—
741C2×Dic59—21no—
742C2×Dic59—21no—
743C2×Dic59—21no—
744C2×Dic59—21no—
745C2×Dic59—21no—
746C2×Dic59—42no—
747C2×Dic59—42no—
748C2×Dic59—42no—
749C2×Dic59—42no—
750C2×Dic59—42no—
751C2×Dic59C22×D411yescharacteristic
752C2×Dic59C22×D411yescharacteristic
753C2×Dic59C22×D411yescharacteristic
754C2×Dic59C22×D411yescharacteristic
755C2×Dic59C22×D411yescharacteristic
756D236—22no—
757D236—22no—
758D236—21no—
759D236—21no—
760D236—21no—
761D236—21no—
762D236—21no—
763D236—21no—
764D236—41no—
765D236—42no—
766D236—42no—
767D236—42no—
768D236—81no—
769D236—81no—
770D236—81no—
771D236—81no—
772D236—81no—
773C4×D59—22no—
774C4×D59—21no—
775C4×D59—21no—
776C4×D59—21no—
777C4×D59—21no—
778C4×D59—21no—
779C4×D59—21no—
780C4×D59—41no—
781C4×D59—41no—
782C4×D59—41no—
783C4×D59—41no—
784C4×D59—41no—
785C4×D59—42no—
786C4×D59—42no—
787C4×D59—42no—
788C4×D59—42no—
789C4×D59—42no—
790C4×D59—81no—
791C4×D59—81no—
792C4×D59—81no—
793C4×D59—81no—
794Dic118—21no—
795Dic118—21no—
796Dic118—21no—
797Dic118—21no—
798Dic118—21no—
799Dic118—21no—
800C8×C59—21no—
801C8×C59—21no—
802C8×C59—21no—
803C8×C59C2×#4112yes—
804C59⋊C8—21no—
805C59⋊C8—21no—
806C59⋊C8—21no—
807C59⋊C8—21no—
808#61454—591nomaximal, Sylow
809C22×C59—22no—
810C22×C59—22no—
811C22×C59—41no—
812C22×C59—41no—
813C22×C59—41no—
814C22×C59—41no—
815C22×C59C23×D411yescharacteristic
816C2×D59—21no—
817C2×D59—21no—
818C2×D59—21no—
819C2×D59—21no—
820C2×D59—21no—
821C2×D59—21no—
822C2×D59—21no—
823C2×D59—21no—
824C2×D59—41no—
825C2×D59—41no—
826C2×D59—41no—
827C2×D59—41no—
828C2×D59—41no—
829C2×D59—41no—
830C2×D59—41no—
831C2×D59—41no—
832C2×D59—41no—
833C2×D59—84no—
834C2×D59—84no—
835C2×D59—84no—
836C2×D59#57512yes—
837C4×C59—21no—
838C4×C59—21no—
839C4×C59—21no—
840C4×C59—21no—
841C4×C59—21no—
842C4×C59—21no—
843C4×C59—41no—
844C4×C59—41no—
845C4×C59—41no—
846C4×C59—41no—
847C4×C59—41no—
848C4×C59—41no—
849C4×C59C22×#4111yescharacteristic
850C4×C59#58511yescharacteristic
851Dic59—21no—
852Dic59—21no—
853Dic59—21no—
854Dic59—21no—
855Dic59—21no—
856Dic59—41no—
857Dic59—41no—
858Dic59—41no—
859Dic59—41no—
860Dic59—41no—
861#3481—591no—
862#3475—591no—
863#3401—591no—
864#3389D5911yescharacteristic, complemented
865#3376—591no—
866#3370—591no—
867#3347—591no—
868#3344—591no—
869#3337—591no—
870#3319—591no—
871#3314—591no—
872#3310—591no—
873#3307—591no—
874#3297—591no—
875#3296—591no—
876#3280—591no—
877#3267—591no—
878#3264—591no—
879#3183—591no—
880#3181—591no—
881#3180—591no—
882#3115—591no—
883#3114—591no—
884#3114—591no—
885#3111—591no—
886#3111—591no—
887#3110—591no—
888#2970—591no—
889C4×AGL(1,ℤ/8)—591no—
890#2943—591no—
891C2×#442—591no—
892C2×C59—42no—
893C2×C59—42no—
894C2×C59D4×#4111yescharacteristic
895C2×C59C2×#57511yescharacteristic
896C2×C59#358511yescharacteristic
897D59—22no—
898D59—41no—
899D59—41no—
900D59—81no—
901D59—81no—
902D59—81no—
903C2×AGL(1,ℤ/8)—591no—
904C2×#135—591no—
905C22×D8—591no—
906#559—591no—
907#556—591no—
908#555—591no—
909#554—591no—
910#554C2×D5911yescharacteristic, complemented
911#554C2×D5911yescharacteristic, complemented
912#553—591no—
913#553—591no—
914#553—1181no—
915#553—1181no—
916#552—591no—
917#552—591no—
918#552—1181no—
919#551—1181no—
920#551—1181no—
921#551—1181no—
922#551—1181no—
923#547—591no—
924#546—591no—
925#546—591no—
926#546—591no—
927#546—591no—
928#546—1181no—
929D42—591no—
930#533—591no—
931#532—591no—
932#529—591no—
933#529—591no—
934#529—591no—
935#529—591no—
936#529—1181no—
937#529—1181no—
938#529—1181no—
939#525—1181no—
940#525—1181no—
941#525—1181no—
942C4×#41—591no—
943C4×#41—591no—
944C4×#41—591no—
945C4×#41—591no—
946C2×C4×D4—591no—
947C2×C4×D4—591no—
948C2×C4×D4—591no—
949C2×C4×D4—1181no—
950C2×#117—1181no—
951#501C2×D5911yescharacteristic, complemented
952#501C2×D5911yescharacteristic, complemented
953#499C2×D5911yescharacteristic, complemented
954#497—591no—
955#496—591no—
956#495—591no—
957#491—591no—
958#490—591no—
959#489—591no—
960#489—591no—
961#488—591no—
962#488—591no—
963#485—591no—
964#485—591no—
965#484—591no—
966#484—591no—
967#483—591no—
968#483—591no—
969#482—591no—
970#482—591no—
971#482—591no—
972#482—591no—
973#480—591no—
974#480—591no—
975#479—591no—
976#479—591no—
977#478—591no—
978#478—591no—
979#478C2×D5911yescharacteristic, complemented
980#478C2×D5911yescharacteristic, complemented
981#478C2×D5911yescharacteristic, complemented
982#478C2×D5911yescharacteristic, complemented
983#475—591no—
984#474—591no—
985#474C2×D5911yescharacteristic, complemented
986#474C2×D5911yescharacteristic, complemented
987#470—591no—
988#469—591no—
989#468—591no—
990#468—591no—
991#467—591no—
992#467—591no—
993#466—591no—
994#466—591no—
995#465—591no—
996#465—591no—
997#465—591no—
998#465—591no—
999#464—591no—
1000#464—591no—
1001#463—591no—
1002#463—591no—
1003#463—591no—
1004#463—591no—
1005#463—591no—
1006#463—591no—
1007#461—591no—
1008#461—591no—
1009#460—591no—
1010#459—591no—
1011#452—591no—
1012#452—591no—
1013#450—591no—
1014#450—591no—
1015#450—591no—
1016#450—591no—
1017#449—591no—
1018#449—591no—
1019#449—591no—
1020#449—591no—
1021#447—591no—
1022#447—591no—
1023#446—591no—
1024#446C2×D5911yescharacteristic, complemented
1025#442—591no—
1026#442—591no—
1027#442—591no—
1028#442—591no—
1029#442—591no—
1030#442—591no—
1031#442—591no—
1032#442—591no—
1033#442—591no—
1034#442C2×D5911yescharacteristic
1035#442C2×D5911yescharacteristic
1036#441—591no—
1037#441—591no—
1038#441—591no—
1039#440—591no—
1040#440—591no—
1041#440—591no—
1042#440—591no—
1043#440—591no—
1044#440—591no—
1045#440—591no—
1046#440—591no—
1047#440—591no—
1048#440—591no—
1049C4×SD16—591no—
1050C4×SD16—591no—
1051C4×D8—591no—
1052C4×D8C2×D5911yescharacteristic
1053#435—591no—
1054#435—591no—
1055#435—591no—
1056#435—591no—
1057C8×D4—591no—
1058C8×D4—591no—
1059#432—591no—
1060#432—591no—
1061#432—591no—
1062#428—591no—
1063#427—591no—
1064C2×#106—591no—
1065#418—591no—
1066#417—591no—
1067#416—591no—
1068#416—591no—
1069C2×#102—591no—
1070C2×#102—591no—
1071C4×M16—591no—
1072C2×#97—591no—
1073C2×#97—591no—
1074C59#6145411yescharacteristic, complemented, Sylow
1075C2×#41—591no—
1076C2×#41—591no—
1077C2×#41—591no—
1078C2×#41—591no—
1079C2×#41—1181no—
1080C22×D4—591no—
1081C22×D4—591no—
1082C22×D4—591no—
1083C22×D4—1181no—
1084C23×C4—1181no—
1085C23×C4—1181no—
1086C23×C4—1181no—
1087AGL(1,ℤ/8)—1184no—
1088#135—1184no—
1089C2×Q16—591no—
1090C2×Q16—591no—
1091C2×SD16—591no—
1092C2×SD16—591no—
1093C2×SD16—591no—
1094C2×SD16—591no—
1095C2×SD16—591no—
1096C2×SD16—591no—
1097C2×SD16—591no—
1098C2×SD16—591no—
1099C2×D8—591no—
1100C2×D8—591no—
1101C2×D8—591no—
1102C2×D8—591no—
1103C2×D8—591no—
1104C2×D8—1184no—
1105C2×D8C22×D5911yescharacteristic
1106C2×M16—591no—
1107C2×M16—591no—
1108C22×C8—591no—
1109C22×C8—591no—
1110C22×C8—591no—
1111C22×C8—591no—
1112C4⋊Q8—591no—
1113C4⋊Q8C22×D5911yescharacteristic
1114C4⋊Q8C22×D5911yescharacteristic
1115#127—591no—
1116#126—1181no—
1117#126—1181no—
1118#126—1181no—
1119#126—1181no—
1120#126—1181no—
1121#126—1181no—
1122#126—1181no—
1123#126—1181no—
1124#126—1181no—
1125#126—1181no—
1126#125—1181no—
1127#125—1181no—
1128#125—1181no—
1129#125—1181no—
1130#125C22×D5911yescharacteristic
1131#125C22×D5911yescharacteristic
1132#125C22×D5911yescharacteristic
1133#125C22×D5911yescharacteristic
1134#124—591no—
1135#124—591no—
1136#124—591no—
1137#124—591no—
1138#124—1181no—
1139#124—1181no—
1140#124—1181no—
1141#124—1181no—
1142#123—1181no—
1143#123—1181no—
1144#123—1181no—
1145#123—1181no—
1146#123—1181no—
1147#123—1181no—
1148#123—1181no—
1149#123—1181no—
1150#123—1181no—
1151#123—1181no—
1152#123—1181no—
1153#123—1181no—
1154#123—1181no—
1155#123—1181no—
1156#123—1181no—
1157#123—1181no—
1158C22⋊Q8—21no—
1159C22⋊Q8—21no—
1160C22⋊Q8—21no—
1161C22⋊Q8—21no—
1162C22⋊Q8—21no—
1163C22⋊Q8—21no—
1164C22⋊Q8—591no—
1165C22⋊Q8—591no—
1166C22⋊Q8—591no—
1167C22⋊Q8—591no—
1168C22⋊Q8—591no—
1169C22⋊Q8—591no—
1170C22⋊Q8—1181no—
1171C22⋊Q8—1181no—
1172C22⋊Q8—1181no—
1173C22⋊Q8—1181no—
1174#121—591no—
1175#121—591no—
1176#121—591no—
1177#121—591no—
1178#121—591no—
1179#121—591no—
1180#121—1181no—
1181#121—1181no—
1182#121—1181no—
1183#121—1181no—
1184#121—1181no—
1185#121—1181no—
1186#121—1181no—
1187#121—1181no—
1188#121—1181no—
1189#121—1181no—
1190#120—1181no—
1191#120—1181no—
1192#120—1181no—
1193#120—1181no—
1194#120—1181no—
1195#120—1181no—
1196C4×Q8—591no—
1197C4×Q8—591no—
1198C4×Q8—591no—
1199C4×Q8—591no—
1200C4×Q8—591no—
1201C4×Q8—591no—
1202C4×Q8—591no—
1203C4×Q8—1181no—
1204C4×Q8C22×D5911yescharacteristic
1205C4×D4—591no—
1206C4×D4—591no—
1207C4×D4—591no—
1208C4×D4—591no—
1209C4×D4—591no—
1210C4×D4—591no—
1211C4×D4—591no—
1212C4×D4—591no—
1213C4×D4—591no—
1214C4×D4—591no—
1215C4×D4—591no—
1216C4×D4—591no—
1217C4×D4—591no—
1218C4×D4—591no—
1219C4×D4—1181no—
1220C4×D4—1181no—
1221C4×D4—1181no—
1222C4×D4—1181no—
1223C4×D4—1181no—
1224C4×D4—1181no—
1225C4×D4—1181no—
1226C4×D4—1181no—
1227C4×D4—1181no—
1228C4×D4—1181no—
1229C4×D4—1181no—
1230C4×D4—1181no—
1231C4×D4—1181no—
1232C4×D4—1181no—
1233C4×D4—1181no—
1234C4×D4—1181no—
1235C4×D4—1181no—
1236C4×D4—1181no—
1237C4×D4—1181no—
1238C4×D4—1181no—
1239C4×D4—1181no—
1240C4×D4C22×D5911yescharacteristic
1241C4×D4C22×D5911yescharacteristic
1242C4×D4C22×D5911yescharacteristic
1243C4×D4C22×D5911yescharacteristic
1244C4×D4C22×D5911yescharacteristic
1245C4×D4C22×D5911yescharacteristic
1246#117—591no—
1247#117—591no—
1248#117—591no—
1249#117—591no—
1250#117—591no—
1251#117—591no—
1252#117—1181no—
1253#117—1181no—
1254#117—1181no—
1255#117—1181no—
1256#117—1181no—
1257#117—1181no—
1258#117—1181no—
1259#117—1181no—
1260#117—1181no—
1261#117—1181no—
1262#117—1181no—
1263#117—1181no—
1264C2×C4⋊C4—21no—
1265C2×C4⋊C4—21no—
1266C2×C4⋊C4—591no—
1267C2×C4⋊C4—591no—
1268C2×C4⋊C4—591no—
1269C2×C4⋊C4—1181no—
1270C2×C22⋊C4—1181no—
1271C2×C22⋊C4—1181no—
1272C2×C22⋊C4—1181no—
1273C2×C22⋊C4—1181no—
1274C2×C22⋊C4—1181no—
1275C2×C22⋊C4—1181no—
1276C2×C22⋊C4—1181no—
1277C2×C42—591no—
1278C2×C42—591no—
1279C2×C42—591no—
1280C2×C42—1181no—
1281C2×C42—1181no—
1282C2×C42—1181no—
1283#107—591no—
1284#107—591no—
1285#107—591no—
1286#107C22×D5911yescharacteristic
1287#107C22×D5911yescharacteristic
1288#107C22×D5911yescharacteristic
1289#107C22×D5911yescharacteristic
1290#107C22×D5911yescharacteristic
1291#106—591no—
1292#106—591no—
1293#106—591no—
1294#106—591no—
1295#106C22×D5911yescharacteristic
1296#106C22×D5911yescharacteristic
1297#106C22×D5911yescharacteristic
1298#106C22×D5911yescharacteristic
1299C4⋊C8—591no—
1300C4⋊C8—591no—
1301C4⋊C8—591no—
1302C4⋊C8C22×D5911yescharacteristic
1303C4⋊C8C22×D5911yescharacteristic
1304C4⋊C8C22×D5911yescharacteristic
1305#103—591no—
1306#103—591no—
1307#103—591no—
1308#103—591no—
1309#103—591no—
1310#103—591no—
1311#103—591no—
1312#103—591no—
1313#103—591no—
1314#103—591no—
1315#103—591no—
1316#103—591no—
1317#102—591no—
1318#102—591no—
1319#102—591no—
1320#102—591no—
1321#102—591no—
1322#102—591no—
1323#102—591no—
1324#102—591no—
1325#102—591no—
1326#102—591no—
1327#102—591no—
1328#102—591no—
1329#102—591no—
1330#102—591no—
1331#102C22×D5911yescharacteristic
1332#102C22×D5911yescharacteristic
1333#102C22×D5911yescharacteristic
1334#102C22×D5911yescharacteristic
1335#102C22×D5911yescharacteristic
1336#102C22×D5911yescharacteristic
1337C22⋊C8—591no—
1338C22⋊C8—591no—
1339C22⋊C8—591no—
1340C22⋊C8—591no—
1341C22⋊C8—591no—
1342C22⋊C8—591no—
1343#97—591no—
1344#97—591no—
1345#97—591no—
1346#97—591no—
1347#97—591no—
1348#97—591no—
1349#97C22×D5911yescharacteristic
1350#97C22×D5911yescharacteristic
1351C4×C8—591no—
1352C4×C8C22×D5911yescharacteristic
1353C24—1181no—
1354C24—1181no—
1355C24—1181no—
1356#41—1182no—
1357#41—1182no—
1358#41—1182no—
1359#41—4722no—
1360#41—2361no—
1361#41—2361no—
1362#41—2361no—
1363#41—2362no—
1364C2×Q8—21no—
1365C2×Q8—21no—
1366C2×Q8—591no—
1367C2×Q8—591no—
1368C2×Q8—591no—
1369C2×Q8D4×D5911yescharacteristic
1370C2×D4—591no—
1371C2×D4—591no—
1372C2×D4—591no—
1373C2×D4—591no—
1374C2×D4—591no—
1375C2×D4—591no—
1376C2×D4—1181no—
1377C2×D4—1181no—
1378C2×D4—1181no—
1379C2×D4—1181no—
1380C2×D4—1181no—
1381C2×D4—1181no—
1382C2×D4—1181no—
1383C2×D4—1181no—
1384C2×D4—1181no—
1385C2×D4—1182no—
1386C2×D4—1182no—
1387C2×D4—1182no—
1388C2×D4—1181no—
1389C2×D4—1181no—
1390C2×D4—1181no—
1391C2×D4—1181no—
1392C2×D4—1181no—
1393C2×D4—2364no—
1394C2×D4—2361no—
1395C2×D4—2361no—
1396C2×D4—2361no—
1397C2×D4C23×D5911yescharacteristic
1398C2×D4C23×D5911yescharacteristic
1399C22×C4—21no—
1400C22×C4—21no—
1401C22×C4—21no—
1402C22×C4—21no—
1403C22×C4—21no—
1404C22×C4—21no—
1405C22×C4—591no—
1406C22×C4—591no—
1407C22×C4—591no—
1408C22×C4—591no—
1409C22×C4—591no—
1410C22×C4—591no—
1411C22×C4—591no—
1412C22×C4—591no—
1413C22×C4—591no—
1414C22×C4—1181no—
1415C22×C4—1181no—
1416C22×C4—1181no—
1417C22×C4—1181no—
1418C22×C4—1181no—
1419C22×C4—1181no—
1420C22×C4—1181no—
1421C22×C4—1181no—
1422C22×C4—1181no—
1423C22×C4—1181no—
1424C22×C4—1181no—
1425C22×C4—1181no—
1426C22×C4—1181no—
1427C22×C4—1181no—
1428C22×C4—4722no—
1429C22×C4—4722no—
1430C22×C4—2364no—
1431Q16—1182no—
1432Q16—2361no—
1433SD16—1182no—
1434SD16—1182no—
1435SD16—1182no—
1436SD16—1182no—
1437SD16—2361no—
1438SD16—2361no—
1439SD16—2361no—
1440SD16—2361no—
1441D8—1182no—
1442D8—1182no—
1443D8—1182no—
1444D8—1182no—
1445D8—2361no—
1446D8#1174568914yescomplemented
1447M16—1182no—
1448M16—2361no—
1449C2×C8—591no—
1450C2×C8—591no—
1451C2×C8—591no—
1452C2×C8—591no—
1453C2×C8—1182no—
1454C2×C8—1182no—
1455C2×C8—2361no—
1456C2×C8—2361no—
1457C2×C8C23×D5911yescharacteristic
1458C2×C8C23×D5911yescharacteristic
1459C2×C8C23×D5911yescharacteristic
1460C2×C8C23×D5911yescharacteristic
1461C4⋊C4—21no—
1462C4⋊C4—21no—
1463C4⋊C4—21no—
1464C4⋊C4—21no—
1465C4⋊C4—21no—
1466C4⋊C4—21no—
1467C4⋊C4—21no—
1468C4⋊C4—21no—
1469C4⋊C4—21no—
1470C4⋊C4—21no—
1471C4⋊C4—591no—
1472C4⋊C4—591no—
1473C4⋊C4—591no—
1474C4⋊C4—591no—
1475C4⋊C4—591no—
1476C4⋊C4—1181no—
1477C4⋊C4—1181no—
1478C4⋊C4—1181no—
1479C4⋊C4—1181no—
1480C4⋊C4—1181no—
1481C4⋊C4—1181no—
1482C4⋊C4—1181no—
1483C4⋊C4—1181no—
1484C4⋊C4—1181no—
1485C4⋊C4—1181no—
1486C4⋊C4—1181no—
1487C4⋊C4—1181no—
1488C4⋊C4—1181no—
1489C4⋊C4—1181no—
1490C4⋊C4—1181no—
1491C4⋊C4—1181no—
1492C4⋊C4—1181no—
1493C4⋊C4D4×D5911yescharacteristic
1494C4⋊C4D4×D5911yescharacteristic
1495C4⋊C4D4×D5911yescharacteristic
1496C4⋊C4C23×D5911yescharacteristic
1497C4⋊C4C23×D5911yescharacteristic
1498C4⋊C4C23×D5911yescharacteristic
1499C4⋊C4C23×D5911yescharacteristic
1500C4⋊C4C23×D5911yescharacteristic
1501C4⋊C4C23×D5911yescharacteristic
1502C22⋊C4—21no—
1503C22⋊C4—21no—
1504C22⋊C4—21no—
1505C22⋊C4—21no—
1506C22⋊C4—21no—
1507C22⋊C4—21no—
1508C22⋊C4—591no—
1509C22⋊C4—591no—
1510C22⋊C4—591no—
1511C22⋊C4—591no—
1512C22⋊C4—591no—
1513C22⋊C4—591no—
1514C22⋊C4—1181no—
1515C22⋊C4—1181no—
1516C22⋊C4—1181no—
1517C22⋊C4—1181no—
1518C22⋊C4—1181no—
1519C22⋊C4—1181no—
1520C22⋊C4—1181no—
1521C22⋊C4—1181no—
1522C22⋊C4—1181no—
1523C22⋊C4—1181no—
1524C22⋊C4—1181no—
1525C22⋊C4—1181no—
1526C22⋊C4—1181no—
1527C22⋊C4—1181no—
1528C22⋊C4—1181no—
1529C22⋊C4—1181no—
1530C22⋊C4—1181no—
1531C22⋊C4—1181no—
1532C22⋊C4—1181no—
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—
1545C42—591no—
1546C42—591no—
1547C42—591no—
1548C42—591no—
1549C42—591no—
1550C42—591no—
1551C42—591no—
1552C42—1181no—
1553C42—1181no—
1554C42—1181no—
1555C42—1181no—
1556C42—1181no—
1557C42—1181no—
1558C42—1181no—
1559C42—1181no—
1560C42—1181no—
1561C42C23×D5911yescharacteristic
1562C42C23×D5911yescharacteristic
1563C42C23×D5911yescharacteristic
1564C23—21no—
1565C23—21no—
1566C23—591no—
1567C23—591no—
1568C23—591no—
1569C23—1181no—
1570C23—1181no—
1571C23—1181no—
1572C23—4721no—
1573C23—4721no—
1574C23—4721no—
1575C23—2362no—
1576C23—2362no—
1577C23—2362no—
1578C23—2362no—
1579C23—2362no—
1580C23—2362no—
1581Q8—41no—
1582Q8—81no—
1583Q8—81no—
1584Q8—1181no—
1585Q8—1181no—
1586Q8—1181no—
1587Q8—1181no—
1588Q8—1181no—
1589Q8—1181no—
1590D4—21no—
1591D4—21no—
1592D4—1182no—
1593D4—1182no—
1594D4—1181no—
1595D4—1181no—
1596D4—1181no—
1597D4—1181no—
1598D4—1181no—
1599D4—1181no—
1600D4—4721no—
1601D4—4721no—
1602D4—4721no—
1603D4—4721no—
1604D4—4721no—
1605D4—2361no—
1606D4—2362no—
1607D4—2362no—
1608D4—2362no—
1609D4—2362no—
1610D4—2362no—
1611D4—2362no—
1612D4—2362no—
1613D4—2362no—
1614D4—2362no—
1615D4C2×#1174568912yes—
1616D4C2×#1174568912yes—
1617C2×C4—21no—
1618C2×C4—21no—
1619C2×C4—21no—
1620C2×C4—21no—
1621C2×C4—21no—
1622C2×C4—21no—
1623C2×C4—42no—
1624C2×C4—42no—
1625C2×C4—81no—
1626C2×C4—81no—
1627C2×C4—81no—
1628C2×C4—81no—
1629C2×C4—591no—
1630C2×C4—591no—
1631C2×C4—591no—
1632C2×C4—591no—
1633C2×C4—591no—
1634C2×C4—1182no—
1635C2×C4—1181no—
1636C2×C4—1181no—
1637C2×C4—1181no—
1638C2×C4—1181no—
1639C2×C4—1181no—
1640C2×C4—1181no—
1641C2×C4—1181no—
1642C2×C4—1181no—
1643C2×C4—1181no—
1644C2×C4—1181no—
1645C2×C4—1181no—
1646C2×C4—4721no—
1647C2×C4—4721no—
1648C2×C4—4721no—
1649C2×C4—4721no—
1650C2×C4—2361no—
1651C2×C4—2361no—
1652C2×C4—2361no—
1653C2×C4—2361no—
1654C2×C4—2361no—
1655C2×C4—2362no—
1656C2×C4—2362no—
1657C2×C4—2362no—
1658C2×C4—2362no—
1659C2×C4—2362no—
1660C2×C4—2362no—
1661C2×C4—2362no—
1662C2×C4—2362no—
1663C2×C4—2362no—
1664C2×C4—2362no—
1665C2×C4C2×D4×D5911yescharacteristic
1666C2×C4C2×D4×D5911yescharacteristic
1667C2×C4C2×D4×D5911yescharacteristic
1668C2×C4C2×D4×D5911yescharacteristic
1669C2×C4C2×D4×D5911yescharacteristic
1670C2×C4C2×D4×D5911yescharacteristic
1671C2×C4C24×D5911yescharacteristic
1672C8—21no—
1673C8—21no—
1674C8—21no—
1675C8—1181no—
1676C8—1181no—
1677C8—1181no—
1678C8—1181no—
1679C8C2×#1174568912yes—
1680C22—22no—
1681C22—22no—
1682C22—41no—
1683C22—41no—
1684C22—41no—
1685C22—41no—
1686C22—592no—
1687C22—1181no—
1688C22—1181no—
1689C22—1181no—
1690C22—1181no—
1691C22—1181no—
1692C22—1181no—
1693C22—1181no—
1694C22—1181no—
1695C22—4724no—
1696C22—4724no—
1697C22—4724no—
1698C22—2361no—
1699C22—2361no—
1700C22—2361no—
1701C22—2361no—
1702C22—2361no—
1703C22—2361no—
1704C22—2361no—
1705C22—2361no—
1706C22—2361no—
1707C22C22×D4×D5911yescharacteristic
1708C4—21no—
1709C4—21no—
1710C4—21no—
1711C4—21no—
1712C4—21no—
1713C4—21no—
1714C4—41no—
1715C4—41no—
1716C4—41no—
1717C4—41no—
1718C4—41no—
1719C4—41no—
1720C4—1181no—
1721C4—1181no—
1722C4—1181no—
1723C4—1181no—
1724C4—1181no—
1725C4—2361no—
1726C4—2361no—
1727C4—2361no—
1728C4—2361no—
1729C4—2361no—
1730C4C22×#1174568911yescharacteristic
1731C4#1683823911yescharacteristic
1732C2—42no—
1733C2—42no—
1734C2—1182no—
1735C2—4721no—
1736C2—4721no—
1737C2—4721no—
1738C2—2361no—
1739C2—2361no—
1740C2D4×#1174568911yescharacteristic
1741C2#575×D5911yescharacteristic
1742C2#2143887111yescharacteristic
subgroupG/H
centerC22C22×D4×D59
commutator, cosocleC2×C4×C59C25
FrattiniC2×C4C24×D59
FittingC59×#3389C2
socleC22×C59C23×D4
hypercenter#3389D59
hypocenterC59#61454
LCSG ▷ C2×C4×C59 ▷ C2×C59 ▷ C59
UCSC1 ◁ C22 ◁ C4×Q8 ◁ #3389

Complements

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

NH ≅ G/Ntype
1. #21437707C2semidirect
2. #21437662C2semidirect
3. #21437164C2semidirect
4. #21436923C2semidirect
5. #21436849C2semidirect
6. #21436595C2semidirect
7. #21436550C2semidirect
8. #21436474C2semidirect
9. #21436249C2semidirect
10. #21436174C2semidirect
11. #21436114C2semidirect
12. #21436069C2semidirect
13. #21435943C2semidirect
14. #21435928C2semidirect
15. #21435782C2semidirect
16. #21435623C2semidirect
17. #21435578C2semidirect
18. #21434827C2semidirect
19. #21434807C2semidirect
20. #21434796C2semidirect
21. #21434249C2semidirect
22. #21434239C2semidirect
23. #21434239C2semidirect
24. #21434210C2semidirect
25. #21434210C2semidirect
26. #21434197C2semidirect
27. #21433109C2semidirect
28. C4×#14273751C2semidirect
29. #21432893C2semidirect
30. #442×D59C2semidirect
31. C59×#3389C2semidirect
35. #16838137C22semidirect
36. #16838125C22semidirect
37. #16838118C22semidirect
40. #16838105C22semidirect
45. #16838090C22semidirect
50. #16838056C22semidirect
53. #16838047C22semidirect
54. #16838047C22semidirect
57. #16837957C22semidirect
58. #16837953C22semidirect
63. #16837937C22semidirect
64. #16837937C22semidirect
65. #16837937C22semidirect
70. C4×#11745687C22semidirect
71. C4×#11745687C22semidirect
72. C4×#11745687C22semidirect
75. C4×D4×D59C22semidirect
76. C4×D4×D59C22semidirect
78. #16837796C22semidirect
80. #16837786C22semidirect
81. #16837772C22semidirect
82. #16837768C22semidirect
83. #16837764C22semidirect
84. #16837764C22semidirect
85. #16837759C22semidirect
86. #16837759C22semidirect
87. #16837745C22semidirect
88. #16837745C22semidirect
89. #16837739C22semidirect
90. #16837739C22semidirect
91. #16837734C22semidirect
92. #16837734C22semidirect
93. #16837729C22semidirect
94. #16837729C22semidirect
95. #16837728C22semidirect
96. #16837728C22semidirect
98. #16837717C22semidirect
99. #16837706C22semidirect
100. #16837706C22semidirect
101. #16837699C22semidirect
102. #16837699C22semidirect
103. #16837684C22semidirect
104. #16837679C22semidirect
105. #16837661C22semidirect
107. #16837649C22semidirect
108. #16837649C22semidirect
109. #16837644C22semidirect
110. #16837644C22semidirect
111. #16837639C22semidirect
112. #16837639C22semidirect
115. #16837632C22semidirect
116. #16837632C22semidirect
117. #16837625C22semidirect
118. #16837625C22semidirect
119. #16837618C22semidirect
120. #16837618C22semidirect
123. #16837617C22semidirect
124. #16837617C22semidirect
125. #16837608C22semidirect
126. #16837607C22semidirect
127. #16837603C22semidirect
129. #16837565C22semidirect
130. #16837565C22semidirect
133. #16837554C22semidirect
134. #16837554C22semidirect
137. #16837548C22semidirect
138. #16837548C22semidirect
141. #16837533C22semidirect
142. #16837515C22semidirect
144. #16837513C22semidirect
145. #16837513C22semidirect
147. #16837512C22semidirect
149. #16837511C22semidirect
150. #16837511C22semidirect
151. #16837510C22semidirect
152. #16837508C22semidirect
153. #16837508C22semidirect
154. #16837502C22semidirect
155. #16837502C22semidirect
156. #16837501C22semidirect
157. #16837501C22semidirect
158. #16837501C22semidirect
159. #16837501C22semidirect
160. #16837501C22semidirect
161. #16837499C22semidirect
162. #16837499C22semidirect
163. #16837499C22semidirect
164. C4×#11745660C22semidirect
165. C4×#11745670C22semidirect
166. C4×#11745669C22semidirect
168. #16837475C22semidirect
170. #16837472C22semidirect
171. C8×D236C22semidirect
172. #16837467C22semidirect
173. #16837458C22semidirect
174. #16837458C22semidirect
175. #16837458C22semidirect
176. #16837443C22semidirect
177. #16837437C22semidirect
178. #106×D59C22semidirect
179. #16837405C22semidirect
180. #16837400C22semidirect
181. #16837395C22semidirect
182. #16837395C22semidirect
184. #102×D59C22semidirect
185. C4×#11745659C22semidirect
186. #97×D59C22semidirect
187. #97×D59C22semidirect
188. C59×#554C22semidirect
189. C59×#554C22semidirect
190. C59×#501C22semidirect
191. C59×#501C22semidirect
192. C59×#499C22semidirect
193. C59×#478C22semidirect
194. C59×#478C22semidirect
195. C59×#478C22semidirect
196. C59×#478C22semidirect
197. C59×#474C22semidirect
198. C59×#474C22semidirect
199. C59×#446C22semidirect
559. D8×C59#41semidirect
864. #3389D59semidirect
910. #554C2×D59semidirect
911. #554C2×D59semidirect
951. #501C2×D59semidirect
952. #501C2×D59semidirect
953. #499C2×D59semidirect
979. #478C2×D59semidirect
980. #478C2×D59semidirect
981. #478C2×D59semidirect
982. #478C2×D59semidirect
985. #474C2×D59semidirect
986. #474C2×D59semidirect
1024. #446C2×D59semidirect
1074. C59#61454semidirect
1446. D8#11745689semidirect

Maximal subgroups

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

subgroupindex
#214377072
#214376622
#214371642
#214369232
#214368492
#214365952
#214365502
#214364742
#214362492
#214361742
#214361142
#214360692
#214359432
#214359282
#214357822
#214356232
#214355782
#214348272
#214348072
#214347962
#214342492
#214342392
#214342102
#214341972
#214331092
C4×#142737512
#214328932
#442×D592
C59×#33892
#6145459