Finite Group Databasebeta

← #29482224

Subgroups — #29482224

Order 15104.

1902 conjugacy classes of subgroups.

The subgroup lattice has 1806 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21438665C211yesmaximal, characteristic, complemented
2#21438127C211yesmaximal, characteristic, complemented
3#21437112C211yesmaximal, characteristic, complemented
4#21436925C211yesmaximal, characteristic, complemented
5#21436917C211yesmaximal, characteristic, complemented
6#21436289C211yesmaximal, characteristic, complemented
7#21436287C211yesmaximal, characteristic, complemented
8#21436274C211yesmaximal, characteristic, complemented
9#21436272C211yesmaximal, characteristic, complemented
10#21435953C211yesmaximal, characteristic, complemented
11#21435951C211yesmaximal, characteristic, complemented
12#21435791C211yesmaximal, characteristic, complemented
13#21435787C211yesmaximal, characteristic, complemented
14#21435590C211yesmaximal, characteristic, complemented
15#21435586C211yesmaximal, characteristic, complemented
16#21435575C211yesmaximal, characteristic, complemented
17#21435571C211yesmaximal, characteristic, complemented
18#21435505C211yesmaximal, characteristic, complemented
19#21435503C211yesmaximal, characteristic, complemented
20#21435410C211yesmaximal, characteristic, complemented
21#21435152C211yesmaximal, characteristic, complemented
22#21435150C211yesmaximal, characteristic, complemented
23#21435078C211yesmaximal, characteristic, complemented
24#21434284C211yesmaximal, characteristic, complemented
25#21434276C211yesmaximal, characteristic, complemented
26#21434193C211yesmaximal, characteristic, complemented
27#21433606C211yesmaximal, characteristic, complemented
28#21433603C211yesmaximal, characteristic, complemented
29#463×D59C211yesmaximal, characteristic, complemented
30#21433234C211yesmaximal, characteristic, complemented
31C59×#3397C211yesmaximal, characteristic, complemented
32C2×#14273754C2211yescharacteristic
33C2×#14273751C2211yescharacteristic
34C2×SD16×D59C2211yescharacteristic
35C2×SD16×D59C2211yescharacteristic, complemented
36C2×SD16×D59C2211yescharacteristic, complemented
37C2×D8×D59C2211yescharacteristic
38#16838154—21no—
39#16838148—21no—
40#16838125C2211yescharacteristic, complemented
41#16838117C2211yescharacteristic, complemented
42#16838112C2211yescharacteristic, complemented
43#16838102C2211yescharacteristic
44#16838102C2211yescharacteristic
45#16838099—21no—
46#16838077—21no—
47#16838076—21no—
48Q8×D236C2211yescharacteristic, complemented
49#16838067C2211yescharacteristic, complemented
50#16838064C2211yescharacteristic, complemented
51#16838060C2211yescharacteristic, complemented
52#16838047C2211yescharacteristic, complemented
53#16838045C2211yescharacteristic, complemented
54#16838041—21no—
55#16838041—21no—
56#16838040—21no—
57#16838037C2211yescharacteristic
58#16838037C2211yescharacteristic
59#16838037C2211yescharacteristic, complemented
60#16838027—21no—
61#16838024C2211yescharacteristic, complemented
62#16838023—21no—
63#16838018—21no—
64#16838017C2211yescharacteristic, complemented
65#16838006C2211yescharacteristic, complemented
66#16838006C2211yescharacteristic, complemented
67#16837991—21no—
68#16837984—21no—
69#16837984—21no—
70#16837977C2211yescharacteristic, complemented
71#16837972C2211yescharacteristic, complemented
72#16837956C2211yescharacteristic, complemented
73#16837950C2211yescharacteristic
74#16837939C2211yescharacteristic
75#124×D59C2211yescharacteristic, complemented
76#16837909—21no—
77#121×D59—21no—
78#16837874C2211yescharacteristic, complemented
79#16837874C2211yescharacteristic, complemented
80C4×D4×D59C2211yescharacteristic
81#16837789C2211yescharacteristic, complemented
82#16837789C2211yescharacteristic, complemented
83#16837774C2211yescharacteristic, complemented
84#16837771C2211yescharacteristic, complemented
85#16837770C2211yescharacteristic, complemented
86#16837762C2211yescharacteristic, complemented
87#16837761C2211yescharacteristic, complemented
88#16837757C2211yescharacteristic, complemented
89#16837756C2211yescharacteristic, complemented
90#16837745C2211yescharacteristic, complemented
91#16837741C2211yescharacteristic, complemented
92#16837739C2211yescharacteristic, complemented
93#16837736C2211yescharacteristic, complemented
94#16837729C2211yescharacteristic, complemented
95#16837725C2211yescharacteristic, complemented
96#16837710C2211yescharacteristic, complemented
97#16837709C2211yescharacteristic, complemented
98#16837703C2211yescharacteristic, complemented
99#16837702C2211yescharacteristic, complemented
100#16837690C2211yescharacteristic, complemented
101#16837690C2211yescharacteristic, complemented
102#16837688C2211yescharacteristic, complemented
103#16837687C2211yescharacteristic, complemented
104#16837681C2211yescharacteristic, complemented
105#16837680C2211yescharacteristic, complemented
106#16837654C2211yescharacteristic, complemented
107#16837652C2211yescharacteristic, complemented
108#16837647C2211yescharacteristic, complemented
109#16837645C2211yescharacteristic, complemented
110#16837637C2211yescharacteristic, complemented
111#16837635C2211yescharacteristic, complemented
112#16837630C2211yescharacteristic, complemented
113#16837630C2211yescharacteristic, complemented
114#16837630C2211yescharacteristic, complemented
115#16837628C2211yescharacteristic, complemented
116#16837628C2211yescharacteristic, complemented
117#16837628C2211yescharacteristic, complemented
118#16837620C2211yescharacteristic
119#16837619C2211yescharacteristic, complemented
120#16837619C2211yescharacteristic, complemented
121#16837619C2211yescharacteristic, complemented
122#16837618C2211yescharacteristic
123#16837618C2211yescharacteristic
124#16837617C2211yescharacteristic, complemented
125#16837617C2211yescharacteristic, complemented
126#16837616C2211yescharacteristic
127#16837615C2211yescharacteristic, complemented
128#16837615C2211yescharacteristic, complemented
129#16837615C2211yescharacteristic, complemented
130#16837614C2211yescharacteristic
131#16837614C2211yescharacteristic
132#16837608C2211yescharacteristic, complemented
133#16837607C2211yescharacteristic, complemented
134#16837606C2211yescharacteristic, complemented
135#16837605C2211yescharacteristic, complemented
136#16837605C2211yescharacteristic, complemented
137#16837605C2211yescharacteristic, complemented
138#16837604C2211yescharacteristic, complemented
139#16837599C2211yescharacteristic, complemented
140#16837599C2211yescharacteristic, complemented
141#16837594C2211yescharacteristic, complemented
142#16837554C2211yescharacteristic
143#16837554C2211yescharacteristic, complemented
144#16837551C2211yescharacteristic
145#16837551C2211yescharacteristic, complemented
146#16837546C2211yescharacteristic, complemented
147#16837546C2211yescharacteristic, complemented
148#16837544C2211yescharacteristic, complemented
149#16837544C2211yescharacteristic, complemented
150#16837539C2211yescharacteristic, complemented
151#16837539C2211yescharacteristic, complemented
152#16837539C2211yescharacteristic, complemented
153#16837539C2211yescharacteristic, complemented
154#16837539C2211yescharacteristic, complemented
155#16837539C2211yescharacteristic, complemented
156#16837537C2211yescharacteristic
157#16837534C2211yescharacteristic
158#16837534C2211yescharacteristic, complemented
159#16837534C2211yescharacteristic, complemented
160#16837533C2211yescharacteristic, complemented
161#16837515C2211yescharacteristic
162#16837512C2211yescharacteristic
163#16837504C2211yescharacteristic, complemented
164#16837502C2211yescharacteristic, complemented
165#16837502C2211yescharacteristic, complemented
166#16837500C2211yescharacteristic, complemented
167C4×#11745660C2211yescharacteristic, complemented
168C4×#11745671C2211yescharacteristic, complemented
169C4×#11745669C2211yescharacteristic, complemented
170#16837475C2211yescharacteristic, complemented
171#16837475C2211yescharacteristic, complemented
172#16837472C2211yescharacteristic, complemented
173#16837472C2211yescharacteristic, complemented
174C8×D236C2211yescharacteristic, complemented
175#16837467C2211yescharacteristic, complemented
176#16837464C2211yescharacteristic, complemented
177#16837461C2211yescharacteristic, complemented
178#16837457C2211yescharacteristic, complemented
179#16837427C2211yescharacteristic, complemented
180#16837427C2211yescharacteristic, complemented
181C4⋊C8×D59C2211yescharacteristic, complemented
182#16837409C2211yescharacteristic, complemented
183#16837409C2211yescharacteristic, complemented
184#16837397C2211yescharacteristic, complemented
185#16837395C2211yescharacteristic, complemented
186#103×D59C2211yescharacteristic, complemented
187#102×D59C2211yescharacteristic, complemented
188C59×#556C2211yescharacteristic, complemented
189C59×#550C2211yescharacteristic, complemented
190C59×#496C2211yescharacteristic, complemented
191C59×#496C2211yescharacteristic, complemented
192C59×#492C2211yescharacteristic, complemented
193C59×#463C2211yescharacteristic, complemented
194C59×#463C2211yescharacteristic, complemented
195C59×#461C2211yescharacteristic, complemented
196C59×#460C2211yescharacteristic, complemented
197C59×#460C2211yescharacteristic, complemented
198C59×#459C2211yescharacteristic, complemented
199C59×#446C2211yescharacteristic, complemented
200C59×#440C2211yescharacteristic, complemented
201C59×#440C2211yescharacteristic, complemented
202C4×D8×C59C2211yescharacteristic, complemented
203C2×#11745689C2311yescharacteristic
204C2×#11745687—21no—
205C2×#11745687C2311yescharacteristic
206C2×Q8×D59C2311yescharacteristic
207C2×Q8×D59C2311yescharacteristic
208C2×Q8×D59C2311yescharacteristic
209C2×D4×D59—21no—
210C2×D4×D59—21no—
211C2×D4×D59—21no—
212C2×D4×D59C2311yescharacteristic
213C2×D4×D59C2311yescharacteristic
214C2×D4×D59C2311yescharacteristic
215C2×D4×D59C2311yescharacteristic
216C22×C4×D59—21no—
217#14273754—42no—
218#14273751—42no—
219C2×#11745660C2311yescharacteristic
220C2×#11745660C2311yescharacteristic
221C2×#11745670C2311yescharacteristic
222C2×#11745670C2311yescharacteristic
223C2×#11745670C2311yescharacteristic
224C2×#11745670C2311yescharacteristic
225C2×#11745670C2311yescharacteristic
226C2×#11745670C2311yescharacteristic
227C2×#11745671C2311yescharacteristic
228C2×#11745671C2311yescharacteristic
229SD16×D59—42no—
230SD16×D59—42no—
231SD16×D59—42no—
232C2×D472C2311yescharacteristic
233C2×#11745669C2311yescharacteristic
234C2×#11745669C2311yescharacteristic
235C2×#11745669C2311yescharacteristic
236C2×#11745669C2311yescharacteristic
237D8×D59—42no—
238C2×#11745659C2311yescharacteristic
239C2×#11745659C2311yescharacteristic
240C2×C8×D59C2311yescharacteristic
241C2×C8×D59C2311yescharacteristic
242C2×C8×D59C2311yescharacteristic
243C2×C8×D59C2311yescharacteristic
244#14273727—21no—
245#14273727C2311yescharacteristic
246#14273727C2311yescharacteristic
247#14273726—21no—
248#14273726C2311yescharacteristic
249#14273725C2311yescharacteristic
250#14273722—21no—
251#14273722—21no—
252#14273722D411yescharacteristic
253#14273722D411yescharacteristic
254#14273721—21no—
255#14273720—21no—
256#14273720—21no—
257#14273720—21no—
258#14273719C2311yescharacteristic
259#14273719C2311yescharacteristic
260#14273718D411yescharacteristic
261#14273717—21no—
262#14273716D411yescharacteristic
263#14273716C2311yescharacteristic
264#14273715—21no—
265#14273715—21no—
266#14273715C2311yescharacteristic
267#14273715C2311yescharacteristic
268#14273714—21no—
269#14273714C2311yescharacteristic
270#14273713—21no—
271#14273713—21no—
272#14273713—21no—
273#14273713—21no—
274#14273713—21no—
275#14273713—21no—
276#14273712—21no—
277#14273712—21no—
278#14273712—21no—
279#14273712D411yescharacteristic
280#14273712D411yescharacteristic
281#14273711—21no—
282#14273710—21no—
283#14273710—21no—
284#14273710—21no—
285#14273709—21no—
286#14273709—21no—
287#14273709—21no—
288#14273708—21no—
289#14273708—21no—
290#14273708—21no—
291#14273708—21no—
292#14273707—21no—
293#14273707—21no—
294#14273707—21no—
295#14273707C2311yescharacteristic
296#14273707C2311yescharacteristic
297#14273706—21no—
298#14273705—21no—
299#14273705—21no—
300#14273705—21no—
301#14273705—21no—
302#14273705—21no—
303#14273705—21no—
304#14273705—21no—
305#14273705—21no—
306#14273704—21no—
307#14273704—21no—
308#14273704—21no—
309#14273703—21no—
310#14273703—21no—
311#14273703D411yescharacteristic
312#14273703C2311yescharacteristic
313#14273703C2311yescharacteristic
314#14273702—21no—
315#14273702D411yescharacteristic
316#14273702C2311yescharacteristic
317#14273701—21no—
318#14273701—21no—
319#14273700—21no—
320#14273700—21no—
321#14273700—21no—
322#14273700—21no—
323#14273699—21no—
324#14273699—21no—
325#14273699—21no—
326#14273699—21no—
327#14273698—21no—
328#14273698—21no—
329#14273698—21no—
330#14273698—21no—
331#14273698C2311yescharacteristic
332#14273698C2311yescharacteristic
333#14273698C2311yescharacteristic
334#14273698C2311yescharacteristic
335#14273698C2311yescharacteristic
336#14273698C2311yescharacteristic
337#14273698C2311yescharacteristic
338#14273697—21no—
339#14273697—21no—
340#14273695—21no—
341#14273695—21no—
342#14273695—21no—
343#14273695—21no—
344#14273695—21no—
345#14273695—21no—
346C4×Dic118—21no—
347C4×Dic118C2311yescharacteristic
348C4×Dic118C2311yescharacteristic
349C4×D236—21no—
350C4×D236—21no—
351C4×D236C2311yescharacteristic
352C4×D236C2311yescharacteristic
353C4×D236C2311yescharacteristic
354C4×D236C2311yescharacteristic
355C4×D236C2311yescharacteristic
356C4×D236C2311yescharacteristic
357C4×D236C2311yescharacteristic
358D4×Dic59—21no—
359D4×Dic59C2311yescharacteristic
360D4×Dic59C2311yescharacteristic
361D4×Dic59C2311yescharacteristic
362#14273689—21no—
363#14273689C2311yescharacteristic
364C4×C22⋊D59—21no—
365C4×C22⋊D59—21no—
366C4×C22⋊D59—21no—
367C4×C22⋊D59—21no—
368C4×C22⋊D59—21no—
369(C22⋊D59)⋊C4—21no—
370(C22⋊D59)⋊C4—21no—
371(C22⋊D59)⋊C4—21no—
372(C22⋊D59)⋊C4—21no—
373#14273686—21no—
374#14273685—21no—
375#14273685C2311yescharacteristic
376#14273685C2311yescharacteristic
377#14273684—21no—
378#14273684C2311yescharacteristic
379#14273684C2311yescharacteristic
380C4⋊C4×D59—21no—
381C4⋊C4×D59C2311yescharacteristic
382C2×(C2×D59)⋊C4—21no—
383C2×(C2×D59)⋊C4—21no—
384C2×(C2×D59)⋊C4—21no—
385C22⋊C4×D59—21no—
386C22⋊C4×D59—21no—
387C22⋊C4×D59—21no—
388C22⋊C4×D59—21no—
389C22⋊C4×D59—21no—
390C22⋊C4×D59—21no—
391C42×D59C2311yescharacteristic
392#14273661C2311yescharacteristic
393#14273660C2311yescharacteristic
394#14273660C2311yescharacteristic
395#14273659C2311yescharacteristic
396#14273659C2311yescharacteristic
397#14273658C2311yescharacteristic
398#14273658C2311yescharacteristic
399C4⋊(C59⋊C8)C2311yescharacteristic
400C4⋊(C59⋊C8)C2311yescharacteristic
401C4⋊(C59⋊C8)C2311yescharacteristic
402Dic59⋊C8C2311yescharacteristic
403Dic59⋊C8C2311yescharacteristic
404Dic59⋊C8C2311yescharacteristic
405Dic59⋊C8C2311yescharacteristic
406#14273652C2311yescharacteristic
407#14273652C2311yescharacteristic
408#14273652C2311yescharacteristic
409#14273652C2311yescharacteristic
410#14273652C2311yescharacteristic
411#14273652C2311yescharacteristic
412#14273651C2311yescharacteristic
413#14273651C2311yescharacteristic
414#14273651C2311yescharacteristic
415#14273651C2311yescharacteristic
416#14273651C2311yescharacteristic
417#14273651C2311yescharacteristic
418#14273650C2311yescharacteristic
419#14273650C2311yescharacteristic
420#14273649C2311yescharacteristic
421#14273649C2311yescharacteristic
422#14273649C2311yescharacteristic
423#14273649C2311yescharacteristic
424#14273648C2311yescharacteristic
425#14273648C2311yescharacteristic
426#14273648C2311yescharacteristic
427#14273648C2311yescharacteristic
428#14273648C2311yescharacteristic
429#14273648C2311yescharacteristic
430#14273647C2311yescharacteristic
431#14273647C2311yescharacteristic
432(C2×D59)⋊C8C2311yescharacteristic
433(C2×D59)⋊C8C2311yescharacteristic
434(C2×D59)⋊C8C2311yescharacteristic
435(C2×D59)⋊C8C2311yescharacteristic
436(C2×D59)⋊C8C2311yescharacteristic
437(C2×D59)⋊C8C2311yescharacteristic
438#14273638C2311yescharacteristic
439#14273638C2311yescharacteristic
440C4×C59⋊C8C2311yescharacteristic
441C2×#41×C59—21no—
442C2×SD16×C59C2311yescharacteristic
443C2×SD16×C59C2311yescharacteristic
444C2×SD16×C59C2311yescharacteristic
445C2×SD16×C59C2311yescharacteristic
446C2×SD16×C59C2311yescharacteristic
447C2×SD16×C59C2311yescharacteristic
448C2×D8×C59C2311yescharacteristic
449C2×D8×C59C2311yescharacteristic
450C2×D8×C59C2311yescharacteristic
451C4⋊Q8×C59C2311yescharacteristic
452#127×C59C2311yescharacteristic
453#127×C59C2311yescharacteristic
454#127×C59C2311yescharacteristic
455#126×C59—21no—
456#126×C59—21no—
457#124×C59C2311yescharacteristic
458#124×C59C2311yescharacteristic
459C22⋊Q8×C59—21no—
460#121×C59—21no—
461#121×C59—21no—
462#121×C59—21no—
463C4×Q8×C59C2311yescharacteristic
464C4×Q8×C59C2311yescharacteristic
465C4×Q8×C59C2311yescharacteristic
466C4×D4×C59C2311yescharacteristic
467C4×D4×C59C2311yescharacteristic
468C4×D4×C59C2311yescharacteristic
469C4×D4×C59C2311yescharacteristic
470#117×C59—21no—
471#107×C59C2311yescharacteristic
472C4⋊C8×C59C2311yescharacteristic
473C4⋊C8×C59C2311yescharacteristic
474C4⋊C8×C59C2311yescharacteristic
475#103×C59C2311yescharacteristic
476#103×C59C2311yescharacteristic
477#102×C59C2311yescharacteristic
478#102×C59C2311yescharacteristic
479#102×C59C2311yescharacteristic
480#102×C59C2311yescharacteristic
481#97×C59C2311yescharacteristic
482#97×C59C2311yescharacteristic
483C4×C8×C59C2311yescharacteristic
484C23×D59—21no—
485C23×D59—21no—
486C23×D59—21no—
487C23×D59—21no—
488#41×C59—82no—
489C2×Q8×C59C2×D411yescharacteristic
490C2×Q8×C59C2411yescharacteristic
491C2×Q8×C59C2411yescharacteristic
492C2×D4×C59—21no—
493C2×D4×C59—21no—
494C2×D4×C59—21no—
495C2×D4×C59—21no—
496C2×D4×C59—21no—
497C2×D4×C59—21no—
498C2×D4×C59C2411yescharacteristic
499C2×D4×C59C2411yescharacteristic
500C2×D4×C59C2411yescharacteristic
501C2×D4×C59C2411yescharacteristic
502C22×C4×C59—21no—
503C22×C4×C59—21no—
504C22×C4×C59—21no—
505C22×C4×C59—21no—
506C2×C22⋊D59—21no—
507C2×C22⋊D59—21no—
508C2×C22⋊D59—21no—
509C2×C22⋊D59—21no—
510C2×C22⋊D59—21no—
511C2×C22⋊D59—21no—
512C2×C22⋊D59—21no—
513C2×C22⋊D59—21no—
514C2×C22⋊D59—21no—
515C2×C22⋊D59—21no—
516C2×C22⋊D59—21no—
517C2×C22⋊D59—21no—
518C22×Dic59—21no—
519C22×Dic59—21no—
520C22×Dic59—21no—
521C22×Dic59—21no—
522#11745689—41no—
523#11745689—41no—
524Q8×D59—41no—
525Q8×D59—41no—
526Q8×D59—41no—
527Q8×D59—41no—
528Q8×D59—41no—
529Q8×D59—41no—
530#11745687—41no—
531#11745687—41no—
532#11745687—82no—
533D4×D59—22no—
534D4×D59—22no—
535D4×D59—22no—
536D4×D59—41no—
537D4×D59—41no—
538D4×D59—41no—
539D4×D59—41no—
540D4×D59—41no—
541D4×D59—82no—
542D4×D59—82no—
543D4×D59—82no—
544C2×D236—21no—
545C2×D236—21no—
546C2×D236C2×D411yescharacteristic
547C2×D236C2×D411yescharacteristic
548C2×D236C2×D411yescharacteristic
549C2×D236C2411yescharacteristic
550C2×D236C2411yescharacteristic
551C2×C4×D59—21no—
552C2×C4×D59—21no—
553C2×C4×D59—21no—
554C2×C4×D59—21no—
555C2×C4×D59—21no—
556C2×C4×D59—21no—
557C2×C4×D59—21no—
558C2×C4×D59—21no—
559C2×C4×D59—21no—
560C2×C4×D59—21no—
561C2×C4×D59—82no—
562C2×C4×D59C2×D411yescharacteristic
563C2×C4×D59C2×D411yescharacteristic
564C2×C4×D59C2411yescharacteristic
565C2×C4×D59C2411yescharacteristic
566C2×C4×D59C2411yescharacteristic
567C2×Dic118—21no—
568C2×Dic118—21no—
569C2×Dic118—21no—
570C2×Dic118—21no—
571C2×Dic118—21no—
572C2×Dic118C2411yescharacteristic
573C2×Dic118C2411yescharacteristic
574SD16×C59—41no—
575SD16×C59—41no—
576SD16×C59—41no—
577SD16×C59—41no—
578SD16×C59—41no—
579SD16×C59—41no—
580D8×C59—41no—
581D8×C59—41no—
582D8×C59—41no—
583C2×C8×C59C2411yescharacteristic
584C2×C8×C59C2411yescharacteristic
585C2×C8×C59C2411yescharacteristic
586C2×C8×C59C2411yescharacteristic
587C4⋊C4×C59—21no—
588C4⋊C4×C59—21no—
589C4⋊C4×C59—21no—
590C4⋊C4×C59—21no—
591C4⋊C4×C59C2×D411yescharacteristic
592C4⋊C4×C59C2×D411yescharacteristic
593C4⋊C4×C59C2×D411yescharacteristic
594C4⋊C4×C59C2411yescharacteristic
595C4⋊C4×C59C2411yescharacteristic
596C22⋊C4×C59—21no—
597C22⋊C4×C59—21no—
598C22⋊C4×C59—21no—
599C22⋊C4×C59—21no—
600C22⋊C4×C59—21no—
601C22⋊C4×C59—21no—
602C22⋊C4×C59—21no—
603C22⋊C4×C59—21no—
604C42×C59—21no—
605C42×C59—21no—
606C42×C59C2411yescharacteristic
607C42×C59C2411yescharacteristic
608C42×C59C2411yescharacteristic
609C22⋊Dic59—21no—
610C22⋊Dic59—21no—
611C22⋊Dic59—21no—
612C22⋊Dic59—21no—
613C22⋊Dic59—21no—
614C22⋊Dic59—21no—
615C22⋊Dic59—21no—
616C22⋊Dic59—21no—
617C22⋊Dic59—21no—
618C22⋊Dic59—21no—
619C22⋊Dic59—21no—
620C22⋊Dic59—21no—
621#11745671—22no—
622#11745671—22no—
623#11745670—41no—
624#11745670—41no—
625#11745670—41no—
626#11745670—41no—
627#11745670—41no—
628#11745670—41no—
629#11745669—22no—
630#11745669—41no—
631#11745669—41no—
632#11745669—41no—
633(C2×D59)⋊C4—21no—
634(C2×D59)⋊C4—21no—
635(C2×D59)⋊C4—21no—
636(C2×D59)⋊C4—21no—
637(C2×D59)⋊C4—21no—
638(C2×D59)⋊C4—21no—
639(C2×D59)⋊C4—21no—
640(C2×D59)⋊C4—21no—
641(C2×D59)⋊C4—21no—
642(C2×D59)⋊C4—21no—
643(C2×D59)⋊C4—21no—
644(C2×D59)⋊C4—21no—
645(C2×D59)⋊C4—21no—
646(C2×D59)⋊C4—21no—
647(C2×D59)⋊C4—21no—
648(C2×D59)⋊C4—21no—
649(C2×D59)⋊C4—21no—
650(C2×D59)⋊C4—21no—
651(C2×D59)⋊C4C2×D411yescharacteristic
652(C2×D59)⋊C4C2×D411yescharacteristic
653(C2×D59)⋊C4C2×D411yescharacteristic
654(C2×D59)⋊C4C2×D411yescharacteristic
655(C2×D59)⋊C4C2×D411yescharacteristic
656(C2×D59)⋊C4C2×D411yescharacteristic
657(C2×D59)⋊C4C2×D411yescharacteristic
658(C2×D59)⋊C4C2×D411yescharacteristic
659(C2×D59)⋊C4C2×D411yescharacteristic
660(C2×D59)⋊C4C2×D411yescharacteristic
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⋊Dic59C2411yescharacteristic
670C4⋊Dic59C2411yescharacteristic
671C4⋊Dic59C2411yescharacteristic
672C4⋊Dic59C2411yescharacteristic
673Dic59⋊C4—21no—
674Dic59⋊C4—21no—
675Dic59⋊C4—21no—
676Dic59⋊C4—21no—
677Dic59⋊C4—21no—
678Dic59⋊C4—21no—
679Dic59⋊C4—21no—
680Dic59⋊C4—21no—
681Dic59⋊C4—21no—
682Dic59⋊C4—21no—
683Dic59⋊C4—21no—
684Dic59⋊C4—21no—
685Dic59⋊C4C2×D411yescharacteristic
686Dic59⋊C4C2×D411yescharacteristic
687Dic59⋊C4C2×D411yescharacteristic
688Dic59⋊C4C2×D411yescharacteristic
689C4×Dic59—21no—
690C4×Dic59—21no—
691C4×Dic59—21no—
692C4×Dic59—21no—
693C4×Dic59C2×D411yescharacteristic
694C4×Dic59C2×D411yescharacteristic
695C4×Dic59C2411yescharacteristic
696C2×C59⋊C8C2411yescharacteristic
697C2×C59⋊C8C2411yescharacteristic
698C2×C59⋊C8C2411yescharacteristic
699C2×C59⋊C8C2411yescharacteristic
700D472—22no—
701#11745660—22no—
702#11745660—22no—
703#11745659—41no—
704#11745659—41no—
705C8×D59—41no—
706C8×D59—41no—
707C8×D59—41no—
708C8×D59—41no—
709C23×C59—21no—
710C23×C59—21no—
711C23×C59—21no—
712C23×C59—21no—
713C22×D59—21no—
714C22×D59—21no—
715C22×D59—42no—
716C22×D59—42no—
717C22×D59—42no—
718C22×D59—42no—
719C22×D59—42no—
720C22×D59—81no—
721C22×D59—81no—
722C22×D59—81no—
723C22×D59—81no—
724C22×D59—81no—
725C22×D59—81no—
726C22×D59—81no—
727C22×D59C22×D411yescharacteristic
728C22×D59C22×D411yescharacteristic
729C22×D59C22×D411yescharacteristic
730Q8×C59—21no—
731Q8×C59—21no—
732Q8×C59—21no—
733Q8×C59—21no—
734Q8×C59—41no—
735D4×C59—21no—
736D4×C59—21no—
737D4×C59—21no—
738D4×C59—21no—
739D4×C59—21no—
740D4×C59—21no—
741D4×C59—21no—
742D4×C59—21no—
743D4×C59—42no—
744D4×C59—81no—
745D4×C59—81no—
746D4×C59—81no—
747D4×C59—81no—
748D4×C59—81no—
749C2×C4×C59—21no—
750C2×C4×C59—21no—
751C2×C4×C59—21no—
752C2×C4×C59—21no—
753C2×C4×C59—42no—
754C2×C4×C59—81no—
755C2×C4×C59—81no—
756C2×C4×C59—81no—
757C2×C4×C59C22×D411yescharacteristic
758C2×C4×C59C22×D411yescharacteristic
759C2×C4×C59C22×D411yescharacteristic
760C2×C4×C59C22×D411yescharacteristic
761C2×C4×C59C22×D411yescharacteristic
762C2×C4×C59C22×D411yescharacteristic
763C2×C4×C59C2511yescharacteristic
764C22⋊D59—42no—
765C22⋊D59—42no—
766C22⋊D59—42no—
767C22⋊D59—42no—
768C22⋊D59—42no—
769C22⋊D59—81no—
770C22⋊D59—81no—
771C22⋊D59—81no—
772C22⋊D59—81no—
773C22⋊D59—81no—
774C22⋊D59—81no—
775C22⋊D59—81no—
776C2×Dic59—21no—
777C2×Dic59—21no—
778C2×Dic59—21no—
779C2×Dic59—21no—
780C2×Dic59—21no—
781C2×Dic59—21no—
782C2×Dic59—81no—
783C2×Dic59—81no—
784C2×Dic59—81no—
785C2×Dic59—81no—
786C2×Dic59C22×D411yescharacteristic
787C2×Dic59C22×D411yescharacteristic
788C2×Dic59C22×D411yescharacteristic
789C2×Dic59C22×D411yescharacteristic
790C2×Dic59C22×D411yescharacteristic
791D236—22no—
792D236—22no—
793D236—21no—
794D236—21no—
795D236—21no—
796D236—41no—
797D236—81no—
798D236—81no—
799D236H(5,𝔽2)12yes—
800C4×D59—22no—
801C4×D59—21no—
802C4×D59—21no—
803C4×D59—21no—
804C4×D59—21no—
805C4×D59—21no—
806C4×D59—21no—
807C4×D59—41no—
808C4×D59—42no—
809C4×D59—81no—
810C4×D59—81no—
811C4×D59—81no—
812C4×D59—81no—
813C4×D59—81no—
814C4×D59—81no—
815C4×D59—81no—
816C4×D59—81no—
817C4×D59—81no—
818Dic118—21no—
819Dic118—21no—
820Dic118—21no—
821Dic118—21no—
822Dic118—81no—
823Dic118—81no—
824Dic118—81no—
825Dic118—81no—
826Dic118—81no—
827C8×C59—21no—
828C8×C59—21no—
829C8×C59—21no—
830C8×C59—21no—
831C59⋊C8—21no—
832C59⋊C8—21no—
833C59⋊C8—21no—
834C59⋊C8—21no—
835#62016—591nomaximal, Sylow
836C22×C59—41no—
837C22×C59—41no—
838C22×C59—41no—
839C22×C59—41no—
840C22×C59—41no—
841C22×C59—41no—
842C22×C59—41no—
843C22×C59—41no—
844C22×C59—41no—
845C22×C59—41no—
846C22×C59—41no—
847C22×C59—41no—
848C22×C59C23×D411yescharacteristic
849C2×D59—21no—
850C2×D59—21no—
851C2×D59—21no—
852C2×D59—21no—
853C2×D59—21no—
854C2×D59—21no—
855C2×D59—22no—
856C2×D59—21no—
857C2×D59—21no—
858C2×D59—41no—
859C2×D59—41no—
860C2×D59—41no—
861C2×D59—41no—
862C2×D59—41no—
863C2×D59—84no—
864C2×D59—162no—
865C2×D59—162no—
866C2×D59—162no—
867C2×D59#57712yes—
868C4×C59—21no—
869C4×C59—21no—
870C4×C59—21no—
871C4×C59—21no—
872C4×C59—21no—
873C4×C59—21no—
874C4×C59—41no—
875C4×C59—41no—
876C4×C59—41no—
877C4×C59—41no—
878C4×C59C2×H(5,𝔽2)11yescharacteristic
879C4×C59#58511yescharacteristic
880Dic59—21no—
881Dic59—21no—
882Dic59—21no—
883Dic59—21no—
884Dic59—21no—
885Dic59—41no—
886Dic59—41no—
887Dic59—41no—
888Dic59—41no—
889Dic59—41no—
890Dic59—41no—
891#3561—591no—
892#3519—591no—
893#3397—591no—
894#3397D5911yescharacteristic, complemented
895#3376—591no—
896#3376—591no—
897#3321—591no—
898#3321—591no—
899#3320—591no—
900#3320—591no—
901#3297—591no—
902#3297—591no—
903D4×SD16—591no—
904D4×SD16—591no—
905#3265—591no—
906#3265—591no—
907#3264—591no—
908#3264—591no—
909#3257—591no—
910#3257—591no—
911#3246—591no—
912#3221—591no—
913#3221—591no—
914#3213—591no—
915#3118—591no—
916#3118—591no—
917#3110—591no—
918#3042—591no—
919#3042—591no—
920C2×#463—591no—
921#2992—591no—
922C2×C59—81no—
923C2×C59—81no—
924C2×C59—81no—
925C2×C59—81no—
926C2×C59#348811yescharacteristic
927C2×C59C2×#57711yescharacteristic
928C2×C59#358511yescharacteristic
929D59—22no—
930D59—41no—
931D59—41no—
932D59—42no—
933D59—81no—
934C2×AGL(1,ℤ/8)—591no—
935C2×AGL(1,ℤ/8)—591no—
936C22×SD16—591no—
937C22×SD16—591no—
938C22×SD16—591no—
939C22×D8—591no—
940#563—1181no—
941#562—1181no—
942#556—591no—
943#556C2×D5911yescharacteristic, complemented
944#555—591no—
945#554—591no—
946#553—591no—
947#553—591no—
948#553—1181no—
949#551—1181no—
950#551—1181no—
951#550C2×D5911yescharacteristic, complemented
952D4×Q8—591no—
953D4×Q8—591no—
954#548—591no—
955#548—591no—
956#546—591no—
957#546—591no—
958#546—1181no—
959#546—1181no—
960#546—1181no—
961D42—591no—
962D42—591no—
963D42—591no—
964#543—1181no—
965#542—591no—
966#542—591no—
967#542—1181no—
968#542—1181no—
969#540—591no—
970#540—591no—
971#538—1181no—
972#538—1181no—
973#538—1181no—
974#536—591no—
975#536—591no—
976#533—591no—
977#532—591no—
978#529—591no—
979C2×#124—591no—
980#525—1181no—
981C2×#121—1181no—
982#518—591no—
983#518—591no—
984C2×C4×D4—591no—
985#496—591no—
986#496—591no—
987#496C2×D5911yescharacteristic, complemented
988#496C2×D5911yescharacteristic, complemented
989#492—591no—
990#492C2×D5911yescharacteristic, complemented
991#491—591no—
992#491—591no—
993#489—591no—
994#489—591no—
995#488—591no—
996#488—591no—
997#485—591no—
998#485—591no—
999#484—591no—
1000#484—591no—
1001#482—591no—
1002#482—591no—
1003#479—591no—
1004#479—591no—
1005#478—591no—
1006#478—591no—
1007#476—591no—
1008#476—591no—
1009#475—591no—
1010#475—591no—
1011#474—591no—
1012#474—591no—
1013#469—591no—
1014#469—591no—
1015#468—591no—
1016#468—591no—
1017#466—591no—
1018#466—591no—
1019#465—591no—
1020#465—591no—
1021#465—591no—
1022#465—591no—
1023#465—591no—
1024#465—591no—
1025#463—591no—
1026#463—591no—
1027#463—591no—
1028#463—591no—
1029#463—591no—
1030#463—591no—
1031#463—591no—
1032#463—591no—
1033#463—591no—
1034#463—591no—
1035#463—591no—
1036#463—591no—
1037#463—591no—
1038#463—591no—
1039#463C2×D5911yescharacteristic, complemented
1040#463C2×D5911yescharacteristic, complemented
1041#461—591no—
1042#461—591no—
1043#461—591no—
1044#461—591no—
1045#461—591no—
1046#461—591no—
1047#461—591no—
1048#461C2×D5911yescharacteristic, complemented
1049#460—591no—
1050#460—591no—
1051#460C2×D5911yescharacteristic, complemented
1052#460C2×D5911yescharacteristic, complemented
1053#459—591no—
1054#459C2×D5911yescharacteristic, complemented
1055#450—591no—
1056#450—591no—
1057#450—591no—
1058#450—591no—
1059#449—591no—
1060#449—591no—
1061#449—591no—
1062#449—591no—
1063#448—591no—
1064#448—591no—
1065#448—591no—
1066#448—591no—
1067#448—591no—
1068#448—591no—
1069#447—591no—
1070#447—591no—
1071#447—591no—
1072#447—591no—
1073#446—591no—
1074#446C2×D5911yescharacteristic, complemented
1075#442—591no—
1076#442—591no—
1077#440—591no—
1078#440—591no—
1079#440—591no—
1080#440—591no—
1081#440C2×D5911yescharacteristic, complemented
1082#440C2×D5911yescharacteristic, complemented
1083C4×SD16—591no—
1084C4×SD16—591no—
1085C4×D8—591no—
1086C4×D8C2×D5911yescharacteristic, complemented
1087#435—591no—
1088#435—591no—
1089#435—591no—
1090#435—591no—
1091C8×D4—591no—
1092C8×D4—591no—
1093#433—591no—
1094#433—591no—
1095#432—591no—
1096#424—591no—
1097#424—591no—
1098C2×C4⋊C8—591no—
1099#419—591no—
1100#419—591no—
1101#416—591no—
1102#416—591no—
1103C2×#103—591no—
1104C2×#102—591no—
1105C59#6201611yescharacteristic, complemented, Sylow
1106C2×#41—21no—
1107C2×#41—591no—
1108C2×#41—591no—
1109C2×#41—1181no—
1110C22×Q8—591no—
1111C22×Q8—591no—
1112C22×Q8—591no—
1113C22×D4—591no—
1114C22×D4—591no—
1115C22×D4—591no—
1116C22×D4—591no—
1117C22×D4—1181no—
1118C22×D4—1181no—
1119C22×D4—1181no—
1120C23×C4—1181no—
1121AGL(1,ℤ/8)—2362no—
1122AGL(1,ℤ/8)—2362no—
1123C2×SD16—591no—
1124C2×SD16—591no—
1125C2×SD16—591no—
1126C2×SD16—591no—
1127C2×SD16—591no—
1128C2×SD16—591no—
1129C2×SD16—591no—
1130C2×SD16—591no—
1131C2×SD16—591no—
1132C2×SD16—591no—
1133C2×SD16—2362no—
1134C2×SD16—2362no—
1135C2×SD16—2362no—
1136C2×SD16C22×D5911yescharacteristic
1137C2×SD16C22×D5911yescharacteristic
1138C2×SD16C22×D5911yescharacteristic
1139C2×SD16C22×D5911yescharacteristic
1140C2×SD16C22×D5911yescharacteristic
1141C2×SD16C22×D5911yescharacteristic
1142C2×D8—591no—
1143C2×D8—591no—
1144C2×D8—591no—
1145C2×D8—591no—
1146C2×D8—591no—
1147C2×D8—2362no—
1148C2×D8C22×D5911yescharacteristic
1149C2×D8C22×D5911yescharacteristic
1150C2×D8C22×D5911yescharacteristic
1151C2×M16—591no—
1152C2×M16—591no—
1153C22×C8—591no—
1154C22×C8—591no—
1155C22×C8—591no—
1156C22×C8—591no—
1157C4⋊Q8—591no—
1158C4⋊Q8—591no—
1159C4⋊Q8—591no—
1160C4⋊Q8—591no—
1161C4⋊Q8—1181no—
1162C4⋊Q8—1181no—
1163C4⋊Q8C22×D5911yescharacteristic
1164#127C22×D5911yescharacteristic
1165#127C22×D5911yescharacteristic
1166#127C22×D5911yescharacteristic
1167#126—21no—
1168#126—21no—
1169#126—591no—
1170#126—591no—
1171#126—1181no—
1172#126—1181no—
1173#126—1181no—
1174#126—1181no—
1175#126—1181no—
1176#126—1181no—
1177#125—591no—
1178#125—591no—
1179#125—591no—
1180#125—1181no—
1181#124—591no—
1182#124—591no—
1183#124—591no—
1184#124—591no—
1185#124—591no—
1186#124—1181no—
1187#124—1181no—
1188#124—1181no—
1189#124—1181no—
1190#124—1181no—
1191#124—1181no—
1192#124—1181no—
1193#124—1181no—
1194#124—1181no—
1195#124C22×D5911yescharacteristic
1196#124C22×D5911yescharacteristic
1197#123—591no—
1198#123—591no—
1199#123—1181no—
1200#123—1181no—
1201#123—1181no—
1202#123—1181no—
1203#123—1181no—
1204#123—1181no—
1205#123—1181no—
1206#123—1181no—
1207#123—1181no—
1208#123—1181no—
1209#123—1181no—
1210#123—1181no—
1211#123—1181no—
1212#123—1181no—
1213C22⋊Q8—21no—
1214C22⋊Q8—591no—
1215C22⋊Q8—591no—
1216C22⋊Q8—591no—
1217C22⋊Q8—591no—
1218C22⋊Q8—591no—
1219C22⋊Q8—1181no—
1220C22⋊Q8—1181no—
1221C22⋊Q8—1181no—
1222C22⋊Q8—1181no—
1223C22⋊Q8—1181no—
1224C22⋊Q8—1181no—
1225C22⋊Q8—1181no—
1226C22⋊Q8—1181no—
1227C22⋊Q8—1181no—
1228C22⋊Q8—1181no—
1229C22⋊Q8—1181no—
1230C22⋊Q8—1181no—
1231C22⋊Q8—1181no—
1232C22⋊Q8—1181no—
1233C22⋊Q8—1181no—
1234C22⋊Q8—1181no—
1235C22⋊Q8—1181no—
1236#121—21no—
1237#121—21no—
1238#121—21no—
1239#121—591no—
1240#121—591no—
1241#121—591no—
1242#121—591no—
1243#121—591no—
1244#121—591no—
1245#121—591no—
1246#121—591no—
1247#121—591no—
1248#121—1181no—
1249#121—1181no—
1250#121—1181no—
1251#121—1181no—
1252#121—1181no—
1253#121—1181no—
1254#121—1181no—
1255#121—1181no—
1256#121—1181no—
1257#121—1181no—
1258#121—1181no—
1259#121—1181no—
1260#121—1181no—
1261#121—1181no—
1262#121—1181no—
1263#120—1181no—
1264#120—1181no—
1265#120—1181no—
1266#120—1181no—
1267#120—1181no—
1268#120—1181no—
1269#120—1181no—
1270#120—1181no—
1271C4×Q8—591no—
1272C4×Q8—591no—
1273C4×Q8—1181no—
1274C4×Q8C22×D5911yescharacteristic
1275C4×Q8C22×D5911yescharacteristic
1276C4×Q8C22×D5911yescharacteristic
1277C4×D4—591no—
1278C4×D4—591no—
1279C4×D4—591no—
1280C4×D4—591no—
1281C4×D4—591no—
1282C4×D4—591no—
1283C4×D4—591no—
1284C4×D4—591no—
1285C4×D4—591no—
1286C4×D4—591no—
1287C4×D4—591no—
1288C4×D4—1181no—
1289C4×D4—1181no—
1290C4×D4—1181no—
1291C4×D4—1181no—
1292C4×D4—1181no—
1293C4×D4—1181no—
1294C4×D4—1181no—
1295C4×D4—1181no—
1296C4×D4—1181no—
1297C4×D4—1181no—
1298C4×D4—1181no—
1299C4×D4—1181no—
1300C4×D4—1181no—
1301C4×D4C22×D5911yescharacteristic
1302C4×D4C22×D5911yescharacteristic
1303C4×D4C22×D5911yescharacteristic
1304C4×D4C22×D5911yescharacteristic
1305#117—21no—
1306#117—591no—
1307#117—591no—
1308#117—591no—
1309#117—591no—
1310#117—1181no—
1311#117—1181no—
1312#117—1181no—
1313C2×C4⋊C4—591no—
1314C2×C4⋊C4—1181no—
1315C2×C22⋊C4—1181no—
1316C2×C22⋊C4—1181no—
1317C2×C22⋊C4—1181no—
1318C2×C22⋊C4—1181no—
1319C2×C22⋊C4—1181no—
1320C2×C22⋊C4—1181no—
1321C2×C22⋊C4—1181no—
1322C2×C22⋊C4—1181no—
1323C2×C22⋊C4—1181no—
1324C2×C42—591no—
1325#107—591no—
1326#107—591no—
1327#107—591no—
1328#107C22×D5911yescharacteristic
1329#106—591no—
1330#106—591no—
1331#106—591no—
1332#106—591no—
1333C4⋊C8—591no—
1334C4⋊C8—591no—
1335C4⋊C8—591no—
1336C4⋊C8—591no—
1337C4⋊C8—591no—
1338C4⋊C8—591no—
1339C4⋊C8—591no—
1340C4⋊C8C22×D5911yescharacteristic
1341C4⋊C8C22×D5911yescharacteristic
1342C4⋊C8C22×D5911yescharacteristic
1343#103—591no—
1344#103—591no—
1345#103—591no—
1346#103—591no—
1347#103—591no—
1348#103—591no—
1349#103—591no—
1350#103—591no—
1351#103—591no—
1352#103—591no—
1353#103—591no—
1354#103—591no—
1355#103—591no—
1356#103—591no—
1357#103C22×D5911yescharacteristic
1358#103C22×D5911yescharacteristic
1359#102—591no—
1360#102—591no—
1361#102—591no—
1362#102—591no—
1363#102—591no—
1364#102—591no—
1365#102—591no—
1366#102—591no—
1367#102—591no—
1368#102—591no—
1369#102—591no—
1370#102—591no—
1371#102C22×D5911yescharacteristic
1372#102C22×D5911yescharacteristic
1373#102C22×D5911yescharacteristic
1374#102C22×D5911yescharacteristic
1375C22⋊C8—591no—
1376C22⋊C8—591no—
1377C22⋊C8—591no—
1378C22⋊C8—591no—
1379C22⋊C8—591no—
1380C22⋊C8—591no—
1381#97—591no—
1382#97—591no—
1383#97C22×D5911yescharacteristic
1384#97C22×D5911yescharacteristic
1385C4×C8—591no—
1386C4×C8C22×D5911yescharacteristic
1387C24—1181no—
1388C24—1181no—
1389C24—1181no—
1390C24—1181no—
1391#41—82no—
1392#41—4722no—
1393#41—2361no—
1394#41—2361no—
1395#41—2361no—
1396#41—2361no—
1397C2×Q8—591no—
1398C2×Q8—591no—
1399C2×Q8—1181no—
1400C2×Q8—1181no—
1401C2×Q8—1181no—
1402C2×Q8—1181no—
1403C2×Q8—1181no—
1404C2×Q8—2361no—
1405C2×Q8—2361no—
1406C2×Q8—2361no—
1407C2×Q8—2361no—
1408C2×Q8—2361no—
1409C2×Q8—2361no—
1410C2×Q8D4×D5911yescharacteristic
1411C2×Q8C23×D5911yescharacteristic
1412C2×Q8C23×D5911yescharacteristic
1413C2×D4—21no—
1414C2×D4—21no—
1415C2×D4—21no—
1416C2×D4—21no—
1417C2×D4—21no—
1418C2×D4—21no—
1419C2×D4—591no—
1420C2×D4—591no—
1421C2×D4—591no—
1422C2×D4—591no—
1423C2×D4—591no—
1424C2×D4—1181no—
1425C2×D4—1181no—
1426C2×D4—1181no—
1427C2×D4—1181no—
1428C2×D4—1181no—
1429C2×D4—1181no—
1430C2×D4—1182no—
1431C2×D4—1182no—
1432C2×D4—1182no—
1433C2×D4—1181no—
1434C2×D4—1181no—
1435C2×D4—1181no—
1436C2×D4—1181no—
1437C2×D4—1181no—
1438C2×D4—1181no—
1439C2×D4—1181no—
1440C2×D4—1181no—
1441C2×D4—4722no—
1442C2×D4—4722no—
1443C2×D4—4722no—
1444C2×D4—2361no—
1445C2×D4—2361no—
1446C2×D4—2361no—
1447C2×D4—2361no—
1448C2×D4—2361no—
1449C2×D4C23×D5911yescharacteristic
1450C2×D4C23×D5911yescharacteristic
1451C2×D4C23×D5911yescharacteristic
1452C2×D4C23×D5911yescharacteristic
1453C22×C4—21no—
1454C22×C4—21no—
1455C22×C4—21no—
1456C22×C4—21no—
1457C22×C4—591no—
1458C22×C4—591no—
1459C22×C4—591no—
1460C22×C4—591no—
1461C22×C4—591no—
1462C22×C4—1181no—
1463C22×C4—1181no—
1464C22×C4—1181no—
1465C22×C4—1181no—
1466C22×C4—1181no—
1467C22×C4—1181no—
1468C22×C4—1181no—
1469C22×C4—1181no—
1470C22×C4—1181no—
1471C22×C4—1181no—
1472C22×C4—1181no—
1473C22×C4—1181no—
1474C22×C4—1181no—
1475C22×C4—1181no—
1476C22×C4—4722no—
1477SD16—41no—
1478SD16—41no—
1479SD16—41no—
1480SD16—41no—
1481SD16—41no—
1482SD16—41no—
1483SD16—1182no—
1484SD16—1182no—
1485SD16—1182no—
1486SD16—1182no—
1487SD16—2361no—
1488SD16—2361no—
1489SD16—2361no—
1490SD16—2361no—
1491SD16—2361no—
1492SD16—2361no—
1493D8—41no—
1494D8—41no—
1495D8—41no—
1496D8—1182no—
1497D8—1182no—
1498D8—2361no—
1499D8—2361no—
1500D8—2361no—
1501M16—2361no—
1502M16—2361no—
1503C2×C8—591no—
1504C2×C8—591no—
1505C2×C8—591no—
1506C2×C8—591no—
1507C2×C8—2361no—
1508C2×C8—2361no—
1509C2×C8—2361no—
1510C2×C8—2361no—
1511C2×C8C23×D5911yescharacteristic
1512C2×C8C23×D5911yescharacteristic
1513C2×C8C23×D5911yescharacteristic
1514C2×C8C23×D5911yescharacteristic
1515C4⋊C4—21no—
1516C4⋊C4—21no—
1517C4⋊C4—21no—
1518C4⋊C4—21no—
1519C4⋊C4—591no—
1520C4⋊C4—591no—
1521C4⋊C4—591no—
1522C4⋊C4—591no—
1523C4⋊C4—591no—
1524C4⋊C4—591no—
1525C4⋊C4—591no—
1526C4⋊C4—591no—
1527C4⋊C4—591no—
1528C4⋊C4—591no—
1529C4⋊C4—591no—
1530C4⋊C4—1181no—
1531C4⋊C4—1181no—
1532C4⋊C4—1181no—
1533C4⋊C4—1181no—
1534C4⋊C4—1181no—
1535C4⋊C4—1181no—
1536C4⋊C4—1181no—
1537C4⋊C4—1181no—
1538C4⋊C4—1181no—
1539C4⋊C4—1181no—
1540C4⋊C4—1181no—
1541C4⋊C4—1181no—
1542C4⋊C4—1181no—
1543C4⋊C4—1181no—
1544C4⋊C4—1181no—
1545C4⋊C4—1181no—
1546C4⋊C4—1181no—
1547C4⋊C4D4×D5911yescharacteristic
1548C4⋊C4D4×D5911yescharacteristic
1549C4⋊C4D4×D5911yescharacteristic
1550C4⋊C4C23×D5911yescharacteristic
1551C4⋊C4C23×D5911yescharacteristic
1552C22⋊C4—21no—
1553C22⋊C4—21no—
1554C22⋊C4—21no—
1555C22⋊C4—21no—
1556C22⋊C4—21no—
1557C22⋊C4—21no—
1558C22⋊C4—21no—
1559C22⋊C4—21no—
1560C22⋊C4—591no—
1561C22⋊C4—591no—
1562C22⋊C4—591no—
1563C22⋊C4—591no—
1564C22⋊C4—591no—
1565C22⋊C4—591no—
1566C22⋊C4—591no—
1567C22⋊C4—591no—
1568C22⋊C4—591no—
1569C22⋊C4—591no—
1570C22⋊C4—1181no—
1571C22⋊C4—1181no—
1572C22⋊C4—1181no—
1573C22⋊C4—1181no—
1574C22⋊C4—1181no—
1575C22⋊C4—1181no—
1576C22⋊C4—1181no—
1577C22⋊C4—1181no—
1578C22⋊C4—1181no—
1579C22⋊C4—1181no—
1580C22⋊C4—1181no—
1581C22⋊C4—1181no—
1582C22⋊C4—1181no—
1583C22⋊C4—1181no—
1584C22⋊C4—1181no—
1585C22⋊C4—1181no—
1586C22⋊C4—1181no—
1587C22⋊C4—1181no—
1588C22⋊C4—1181no—
1589C22⋊C4—1181no—
1590C22⋊C4—1181no—
1591C22⋊C4—1181no—
1592C22⋊C4—1181no—
1593C22⋊C4—1181no—
1594C22⋊C4—1181no—
1595C22⋊C4—1181no—
1596C22⋊C4—1181no—
1597C22⋊C4—1181no—
1598C22⋊C4—1181no—
1599C22⋊C4—1181no—
1600C42—21no—
1601C42—21no—
1602C42—591no—
1603C42—591no—
1604C42—591no—
1605C42—1181no—
1606C42—1181no—
1607C42—1181no—
1608C42—1181no—
1609C42C23×D5911yescharacteristic
1610C42C23×D5911yescharacteristic
1611C42C23×D5911yescharacteristic
1612C23—21no—
1613C23—21no—
1614C23—21no—
1615C23—21no—
1616C23—591no—
1617C23—591no—
1618C23—591no—
1619C23—1181no—
1620C23—1181no—
1621C23—4721no—
1622C23—4721no—
1623C23—4721no—
1624C23—4721no—
1625C23—4721no—
1626C23—4721no—
1627C23—4721no—
1628C23—2362no—
1629C23—2362no—
1630C23—2362no—
1631C23—2362no—
1632C23—2362no—
1633Q8—21no—
1634Q8—21no—
1635Q8—21no—
1636Q8—21no—
1637Q8—41no—
1638Q8—1181no—
1639Q8—1181no—
1640Q8—1181no—
1641Q8—1181no—
1642Q8—4721no—
1643Q8—4721no—
1644Q8—4721no—
1645Q8—4721no—
1646Q8—4721no—
1647D4—21no—
1648D4—21no—
1649D4—21no—
1650D4—21no—
1651D4—21no—
1652D4—21no—
1653D4—21no—
1654D4—21no—
1655D4—42no—
1656D4—81no—
1657D4—81no—
1658D4—81no—
1659D4—81no—
1660D4—81no—
1661D4—592no—
1662D4—1182no—
1663D4—1182no—
1664D4—1181no—
1665D4—1181no—
1666D4—1181no—
1667D4—4721no—
1668D4—4721no—
1669D4—4721no—
1670D4—4721no—
1671D4—4721no—
1672D4—4721no—
1673D4—4721no—
1674D4—4721no—
1675D4—4721no—
1676D4—2361no—
1677D4—2362no—
1678D4—2362no—
1679D4—2362no—
1680D4—2362no—
1681D4—2362no—
1682C2×C4—21no—
1683C2×C4—21no—
1684C2×C4—21no—
1685C2×C4—21no—
1686C2×C4—42no—
1687C2×C4—81no—
1688C2×C4—81no—
1689C2×C4—81no—
1690C2×C4—591no—
1691C2×C4—591no—
1692C2×C4—591no—
1693C2×C4—591no—
1694C2×C4—591no—
1695C2×C4—1182no—
1696C2×C4—1181no—
1697C2×C4—1181no—
1698C2×C4—1181no—
1699C2×C4—1181no—
1700C2×C4—1181no—
1701C2×C4—1181no—
1702C2×C4—1181no—
1703C2×C4—1181no—
1704C2×C4—1181no—
1705C2×C4—1181no—
1706C2×C4—1181no—
1707C2×C4—1181no—
1708C2×C4—4721no—
1709C2×C4—4721no—
1710C2×C4—4721no—
1711C2×C4—4721no—
1712C2×C4—4721no—
1713C2×C4—4721no—
1714C2×C4—4721no—
1715C2×C4—4721no—
1716C2×C4—4721no—
1717C2×C4—4721no—
1718C2×C4—4721no—
1719C2×C4—4721no—
1720C2×C4—4721no—
1721C2×C4—2361no—
1722C2×C4—2362no—
1723C2×C4C2×D4×D5911yescharacteristic
1724C2×C4C2×D4×D5911yescharacteristic
1725C2×C4C2×D4×D5911yescharacteristic
1726C2×C4C2×D4×D5911yescharacteristic
1727C2×C4C2×D4×D5911yescharacteristic
1728C2×C4C2×D4×D5911yescharacteristic
1729C2×C4C24×D5911yescharacteristic
1730C8—21no—
1731C8—21no—
1732C8—21no—
1733C8—21no—
1734C8—1181no—
1735C8—1181no—
1736C8—1181no—
1737C8—1181no—
1738C22—41no—
1739C22—41no—
1740C22—41no—
1741C22—41no—
1742C22—41no—
1743C22—41no—
1744C22—41no—
1745C22—41no—
1746C22—41no—
1747C22—41no—
1748C22—41no—
1749C22—41no—
1750C22—592no—
1751C22—1181no—
1752C22—1181no—
1753C22—1181no—
1754C22—1181no—
1755C22—1182no—
1756C22—1181no—
1757C22—1181no—
1758C22—1181no—
1759C22—1181no—
1760C22—9442no—
1761C22—9442no—
1762C22—9442no—
1763C22—4724no—
1764C22—2361no—
1765C22—2361no—
1766C22—2361no—
1767C22—2361no—
1768C22—2361no—
1769C22C22×D4×D5911yescharacteristic
1770C4—21no—
1771C4—21no—
1772C4—21no—
1773C4—21no—
1774C4—21no—
1775C4—21no—
1776C4—41no—
1777C4—41no—
1778C4—41no—
1779C4—41no—
1780C4—1181no—
1781C4—1181no—
1782C4—1181no—
1783C4—1181no—
1784C4—1181no—
1785C4—2361no—
1786C4—2361no—
1787C4—2361no—
1788C4—2361no—
1789C4—2361no—
1790C4—2361no—
1791C4H(5,𝔽2)×D5911yescharacteristic
1792C4#1683823811yescharacteristic
1793C2—81no—
1794C2—81no—
1795C2—81no—
1796C2—81no—
1797C2—1182no—
1798C2—4721no—
1799C2—2361no—
1800C2—2361no—
1801C2—2362no—
1802C2#2143776411yescharacteristic
1803C2#577×D5911yescharacteristic
1804C2#2143887211yescharacteristic
subgroupG/H
centerC22C22×D4×D59
commutator, cosocleC2×C4×C59C25
FrattiniC2×C4C24×D59
FittingC59×#3397C2
socleC22×C59C23×D4
hypercenter#3397D59
hypocenterC59#62016
LCSG ▷ C2×C4×C59 ▷ C2×C59 ▷ C59
UCSC1 ◁ C22 ◁ C4×Q8 ◁ #3397

Complements

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

NH ≅ G/Ntype
1. #21438665C2semidirect
2. #21438127C2semidirect
3. #21437112C2semidirect
4. #21436925C2semidirect
5. #21436917C2semidirect
6. #21436289C2semidirect
7. #21436287C2semidirect
8. #21436274C2semidirect
9. #21436272C2semidirect
10. #21435953C2semidirect
11. #21435951C2semidirect
12. #21435791C2semidirect
13. #21435787C2semidirect
14. #21435590C2semidirect
15. #21435586C2semidirect
16. #21435575C2semidirect
17. #21435571C2semidirect
18. #21435505C2semidirect
19. #21435503C2semidirect
20. #21435410C2semidirect
21. #21435152C2semidirect
22. #21435150C2semidirect
23. #21435078C2semidirect
24. #21434284C2semidirect
25. #21434276C2semidirect
26. #21434193C2semidirect
27. #21433606C2semidirect
28. #21433603C2semidirect
29. #463×D59C2semidirect
30. #21433234C2semidirect
31. C59×#3397C2semidirect
35. C2×SD16×D59C22semidirect
36. C2×SD16×D59C22semidirect
40. #16838125C22semidirect
41. #16838117C22semidirect
42. #16838112C22semidirect
48. Q8×D236C22semidirect
49. #16838067C22semidirect
50. #16838064C22semidirect
51. #16838060C22semidirect
52. #16838047C22semidirect
53. #16838045C22semidirect
59. #16838037C22semidirect
61. #16838024C22semidirect
64. #16838017C22semidirect
65. #16838006C22semidirect
66. #16838006C22semidirect
70. #16837977C22semidirect
71. #16837972C22semidirect
72. #16837956C22semidirect
75. #124×D59C22semidirect
78. #16837874C22semidirect
79. #16837874C22semidirect
81. #16837789C22semidirect
82. #16837789C22semidirect
83. #16837774C22semidirect
84. #16837771C22semidirect
85. #16837770C22semidirect
86. #16837762C22semidirect
87. #16837761C22semidirect
88. #16837757C22semidirect
89. #16837756C22semidirect
90. #16837745C22semidirect
91. #16837741C22semidirect
92. #16837739C22semidirect
93. #16837736C22semidirect
94. #16837729C22semidirect
95. #16837725C22semidirect
96. #16837710C22semidirect
97. #16837709C22semidirect
98. #16837703C22semidirect
99. #16837702C22semidirect
100. #16837690C22semidirect
101. #16837690C22semidirect
102. #16837688C22semidirect
103. #16837687C22semidirect
104. #16837681C22semidirect
105. #16837680C22semidirect
106. #16837654C22semidirect
107. #16837652C22semidirect
108. #16837647C22semidirect
109. #16837645C22semidirect
110. #16837637C22semidirect
111. #16837635C22semidirect
112. #16837630C22semidirect
113. #16837630C22semidirect
114. #16837630C22semidirect
115. #16837628C22semidirect
116. #16837628C22semidirect
117. #16837628C22semidirect
119. #16837619C22semidirect
120. #16837619C22semidirect
121. #16837619C22semidirect
124. #16837617C22semidirect
125. #16837617C22semidirect
127. #16837615C22semidirect
128. #16837615C22semidirect
129. #16837615C22semidirect
132. #16837608C22semidirect
133. #16837607C22semidirect
134. #16837606C22semidirect
135. #16837605C22semidirect
136. #16837605C22semidirect
137. #16837605C22semidirect
138. #16837604C22semidirect
139. #16837599C22semidirect
140. #16837599C22semidirect
141. #16837594C22semidirect
143. #16837554C22semidirect
145. #16837551C22semidirect
146. #16837546C22semidirect
147. #16837546C22semidirect
148. #16837544C22semidirect
149. #16837544C22semidirect
150. #16837539C22semidirect
151. #16837539C22semidirect
152. #16837539C22semidirect
153. #16837539C22semidirect
154. #16837539C22semidirect
155. #16837539C22semidirect
158. #16837534C22semidirect
159. #16837534C22semidirect
160. #16837533C22semidirect
163. #16837504C22semidirect
164. #16837502C22semidirect
165. #16837502C22semidirect
166. #16837500C22semidirect
167. C4×#11745660C22semidirect
168. C4×#11745671C22semidirect
169. C4×#11745669C22semidirect
170. #16837475C22semidirect
171. #16837475C22semidirect
172. #16837472C22semidirect
173. #16837472C22semidirect
174. C8×D236C22semidirect
175. #16837467C22semidirect
176. #16837464C22semidirect
177. #16837461C22semidirect
178. #16837457C22semidirect
179. #16837427C22semidirect
180. #16837427C22semidirect
181. C4⋊C8×D59C22semidirect
182. #16837409C22semidirect
183. #16837409C22semidirect
184. #16837397C22semidirect
185. #16837395C22semidirect
186. #103×D59C22semidirect
187. #102×D59C22semidirect
188. C59×#556C22semidirect
189. C59×#550C22semidirect
190. C59×#496C22semidirect
191. C59×#496C22semidirect
192. C59×#492C22semidirect
193. C59×#463C22semidirect
194. C59×#463C22semidirect
195. C59×#461C22semidirect
196. C59×#460C22semidirect
197. C59×#460C22semidirect
198. C59×#459C22semidirect
199. C59×#446C22semidirect
200. C59×#440C22semidirect
201. C59×#440C22semidirect
202. C4×D8×C59C22semidirect
894. #3397D59semidirect
943. #556C2×D59semidirect
951. #550C2×D59semidirect
987. #496C2×D59semidirect
988. #496C2×D59semidirect
990. #492C2×D59semidirect
1039. #463C2×D59semidirect
1040. #463C2×D59semidirect
1048. #461C2×D59semidirect
1051. #460C2×D59semidirect
1052. #460C2×D59semidirect
1054. #459C2×D59semidirect
1074. #446C2×D59semidirect
1081. #440C2×D59semidirect
1082. #440C2×D59semidirect
1086. C4×D8C2×D59semidirect
1105. C59#62016semidirect

Maximal subgroups

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

subgroupindex
#214386652
#214381272
#214371122
#214369252
#214369172
#214362892
#214362872
#214362742
#214362722
#214359532
#214359512
#214357912
#214357872
#214355902
#214355862
#214355752
#214355712
#214355052
#214355032
#214354102
#214351522
#214351502
#214350782
#214342842
#214342762
#214341932
#214336062
#214336032
#463×D592
#214332342
C59×#33972
#6201659