Finite Group Databasebeta

← #29480997

Subgroups — #29480997

Order 15104.

2178 conjugacy classes of subgroups.

The subgroup lattice has 1896 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21437868C211yesmaximal, characteristic, complemented
2#21437661C211yesmaximal, characteristic, complemented
3#21437117C211yesmaximal, characteristic, complemented
4#21437111C211yesmaximal, characteristic, complemented
5#21436806C211yesmaximal, characteristic, complemented
6#21436800C211yesmaximal, characteristic, complemented
7#21436336C211yesmaximal, characteristic, complemented
8#21436334C211yesmaximal, characteristic, complemented
9#21436115C211yesmaximal, characteristic, complemented
10#21436113C211yesmaximal, characteristic, complemented
11#21436111C211yesmaximal, characteristic, complemented
12#21435694C211yesmaximal, characteristic, complemented
13#21435693C211yesmaximal, characteristic, complemented
14#21435581C211yesmaximal, characteristic, complemented
15#21435580C211yesmaximal, characteristic, complemented
16#21435573C211yesmaximal, characteristic, complemented
17#21435572C211yesmaximal, characteristic, complemented
18#21435457C211yesmaximal, characteristic, complemented
19#21435453C211yesmaximal, characteristic, complemented
20#21435407C211yesmaximal, characteristic, complemented
21#21435117C211yesmaximal, characteristic, complemented
22#21435115C211yesmaximal, characteristic, complemented
23#21435035C211yesmaximal, characteristic, complemented
24#21434245C211yesmaximal, characteristic, complemented
25#21434242C211yesmaximal, characteristic, complemented
26#21434093C211yesmaximal, characteristic, complemented
27#21433575C211yesmaximal, characteristic, complemented
28#21433573C211yesmaximal, characteristic, complemented
29C2×#16837596C211yesmaximal, characteristic, complemented
30#21433208C211yesmaximal, characteristic, complemented
31C59×#3310C211yesmaximal, characteristic, complemented
32C2×#14273772—21no—
33C2×#14273755C2211yescharacteristic, complemented
34C2×#14273754C2211yescharacteristic, complemented
35C2×#14273754C2211yescharacteristic, complemented
36C2×#14273753C2211yescharacteristic, complemented
37C22×D472C2211yescharacteristic, complemented
38C22×#11745669C2211yescharacteristic, complemented
39#16838124C2211yescharacteristic, complemented
40#16838115C2211yescharacteristic, complemented
41#16838108C2211yescharacteristic, complemented
42#16838103—21no—
43#16838087C2211yescharacteristic, complemented
44#16838084—21no—
45#16838076—21no—
46#16838075—21no—
47#16838073C2211yescharacteristic, complemented
48#16838072C2211yescharacteristic, complemented
49#16838070—21no—
50#16838054C2211yescharacteristic, complemented
51#16838048C2211yescharacteristic, complemented
52#16838043C2211yescharacteristic, complemented
53D4×D236C2211yescharacteristic
54#16838036C2211yescharacteristic
55#16838036C2211yescharacteristic, complemented
56D4×C22⋊D59—21no—
57D4×C22⋊D59C2211yescharacteristic
58D4×C22⋊D59C2211yescharacteristic, complemented
59#16838034—21no—
60#16838034—21no—
61#16837968—21no—
62#16837967—21no—
63#16837967—21no—
64#16837954C2211yescharacteristic, complemented
65#16837949C2211yescharacteristic, complemented
66#16837947C2211yescharacteristic
67#16837947C2211yescharacteristic, complemented
68C2×#14273723C2211yescharacteristic
69C2×#14273723C2211yescharacteristic, complemented
70#127×D59C2211yescharacteristic, complemented
71#16837938C2211yescharacteristic, complemented
72#16837937—21no—
73#16837937C2211yescharacteristic, complemented
74#16837935—21no—
75#16837910—21no—
76C4×#11745689C2211yescharacteristic, complemented
77#16837870C2211yescharacteristic, complemented
78C4×#11745687C2211yescharacteristic
79C2×#14273689C2211yescharacteristic, complemented
80#117×D59—21no—
81#16837791C2211yescharacteristic, complemented
82#16837789C2211yescharacteristic, complemented
83#16837788C2211yescharacteristic, complemented
84#16837788C2211yescharacteristic, complemented
85#16837773C2211yescharacteristic, complemented
86#16837773C2211yescharacteristic, complemented
87#16837768C2211yescharacteristic, complemented
88#16837765C2211yescharacteristic, complemented
89#16837765C2211yescharacteristic, complemented
90#16837747C2211yescharacteristic, complemented
91#16837747C2211yescharacteristic, complemented
92#16837729C2211yescharacteristic, complemented
93#16837726C2211yescharacteristic, complemented
94#16837725C2211yescharacteristic, complemented
95#16837715C2211yescharacteristic, complemented
96#16837705C2211yescharacteristic, complemented
97#16837704C2211yescharacteristic, complemented
98#16837699C2211yescharacteristic, complemented
99#16837691C2211yescharacteristic, complemented
100#16837690C2211yescharacteristic, complemented
101#16837686C2211yescharacteristic, complemented
102#16837685C2211yescharacteristic, complemented
103#16837681C2211yescharacteristic, complemented
104#16837681C2211yescharacteristic, complemented
105#16837656C2211yescharacteristic, complemented
106#16837655C2211yescharacteristic, complemented
107#16837654C2211yescharacteristic, complemented
108#16837653C2211yescharacteristic, complemented
109#16837650C2211yescharacteristic, complemented
110#16837649C2211yescharacteristic, complemented
111#16837647C2211yescharacteristic, complemented
112#16837633C2211yescharacteristic, complemented
113#16837631C2211yescharacteristic, complemented
114#16837629C2211yescharacteristic, complemented
115#16837620C2211yescharacteristic, complemented
116#16837619C2211yescharacteristic, complemented
117#16837618C2211yescharacteristic, complemented
118#16837617C2211yescharacteristic, complemented
119#16837606C2211yescharacteristic, complemented
120#16837605C2211yescharacteristic, complemented
121#16837602C2211yescharacteristic, complemented
122#16837601C2211yescharacteristic, complemented
123#16837601C2211yescharacteristic, complemented
124#16837601C2211yescharacteristic, complemented
125#16837601C2211yescharacteristic, complemented
126#16837601C2211yescharacteristic, complemented
127#16837600C2211yescharacteristic, complemented
128#16837600C2211yescharacteristic, complemented
129#16837600C2211yescharacteristic, complemented
130#16837598C2211yescharacteristic, complemented
131#16837596C2211yescharacteristic, complemented
132#16837596C2211yescharacteristic, complemented
133#16837596C2211yescharacteristic, complemented
134#16837596C2211yescharacteristic, complemented
135#16837596C2211yescharacteristic, complemented
136#16837596C2211yescharacteristic, complemented
137#16837596C2211yescharacteristic, complemented
138#16837596C2211yescharacteristic, complemented
139#16837596C2211yescharacteristic, complemented
140#16837596C2211yescharacteristic, complemented
141#16837596C2211yescharacteristic, complemented
142#16837596C2211yescharacteristic, complemented
143#16837594C2211yescharacteristic, complemented
144#16837555C2211yescharacteristic, complemented
145#16837554C2211yescharacteristic, complemented
146#16837554C2211yescharacteristic, complemented
147#16837553C2211yescharacteristic, complemented
148#16837552C2211yescharacteristic, complemented
149#16837552C2211yescharacteristic, complemented
150#16837550C2211yescharacteristic, complemented
151#16837549C2211yescharacteristic, complemented
152#16837546C2211yescharacteristic, complemented
153#16837545C2211yescharacteristic, complemented
154#16837538C2211yescharacteristic, complemented
155#16837538C2211yescharacteristic, complemented
156#16837537C2211yescharacteristic, complemented
157#16837537C2211yescharacteristic, complemented
158#16837536C2211yescharacteristic, complemented
159#16837535C2211yescharacteristic, complemented
160#16837531C2211yescharacteristic, complemented
161#16837530C2211yescharacteristic, complemented
162#16837515C2211yescharacteristic, complemented
163#16837513C2211yescharacteristic, complemented
164#16837512C2211yescharacteristic, complemented
165#16837511C2211yescharacteristic, complemented
166#16837501C2211yescharacteristic, complemented
167#16837500C2211yescharacteristic, complemented
168#16837499C2211yescharacteristic, complemented
169#16837484C2211yescharacteristic, complemented
170#16837484C2211yescharacteristic, complemented
171#16837482C2211yescharacteristic, complemented
172#16837482C2211yescharacteristic, complemented
173#16837478C2211yescharacteristic, complemented
174#16837477C2211yescharacteristic, complemented
175#16837474C2211yescharacteristic, complemented
176#16837473C2211yescharacteristic, complemented
177#16837470C2211yescharacteristic, complemented
178#16837457C2211yescharacteristic, complemented
179#16837456C2211yescharacteristic, complemented
180#16837452C2211yescharacteristic, complemented
181#16837425C2211yescharacteristic, complemented
182#16837424C2211yescharacteristic, complemented
183C2×Dic59⋊C8C2211yescharacteristic, complemented
184#16837406C2211yescharacteristic, complemented
185#16837405C2211yescharacteristic, complemented
186#16837405C2211yescharacteristic, complemented
187C2×#14273647C2211yescharacteristic, complemented
188C59×#552C2211yescharacteristic, complemented
189D42×C59C2211yescharacteristic
190C59×#490C2211yescharacteristic, complemented
191C59×#482C2211yescharacteristic, complemented
192C59×#480C2211yescharacteristic, complemented
193C59×#478C2211yescharacteristic, complemented
194C59×#468C2211yescharacteristic, complemented
195C59×#465C2211yescharacteristic, complemented
196C59×#460C2211yescharacteristic, complemented
197C59×#450C2211yescharacteristic, complemented
198C59×#450C2211yescharacteristic, complemented
199C59×#440C2211yescharacteristic, complemented
200C59×#435C2211yescharacteristic, complemented
201C59×#418C2211yescharacteristic, complemented
202C2×#102×C59C2211yescharacteristic, complemented
203#14273772—48no—
204C2×#11745689C2311yescharacteristic
205C2×#11745685—21no—
206C2×#11745685—21no—
207C2×#11745685C2311yescharacteristic
208C2×#11745687—21no—
209C2×#11745687—21no—
210C2×#11745687—21no—
211C2×#11745687D411yescharacteristic
212C22×D236C2311yescharacteristic
213C22×D236C2311yescharacteristic
214C22×D236C2311yescharacteristic
215C22×C22⋊D59—21no—
216C22×C22⋊D59—21no—
217C22×C22⋊D59—21no—
218C22×C22⋊D59—21no—
219C22×C22⋊D59—21no—
220C22×C22⋊D59—21no—
221C2×D4×D59—21no—
222C2×D4×D59—21no—
223C2×D4×D59—21no—
224C2×D4×D59—21no—
225C2×D4×D59—21no—
226C2×D4×D59C2311yescharacteristic
227C2×D4×D59C2311yescharacteristic
228C22×C4×D59—21no—
229#14273755—42no—
230#14273754—42no—
231#14273754—42no—
232#14273753—42no—
233C2×#11745660C2311yescharacteristic
234C2×#11745660C2311yescharacteristic
235C2×#11745660C2311yescharacteristic
236C2×#11745670C2311yescharacteristic
237C2×#11745670C2311yescharacteristic
238C2×#11745670C2311yescharacteristic
239C2×#11745671C2311yescharacteristic
240C2×#11745671C2311yescharacteristic
241C2×#11745671C2311yescharacteristic
242C2×D472—42no—
243C2×D472C2311yescharacteristic
244C2×D472C2311yescharacteristic
245C2×D472C2311yescharacteristic
246C2×D472C2311yescharacteristic
247C2×D472C2311yescharacteristic
248C2×D472C2311yescharacteristic
249C2×#11745669—42no—
250C2×#11745669C2311yescharacteristic
251C2×#11745669C2311yescharacteristic
252C2×#11745669C2311yescharacteristic
253C2×#11745669C2311yescharacteristic
254C2×#11745669C2311yescharacteristic
255C2×#11745669C2311yescharacteristic
256C2×#11745664C2311yescharacteristic
257C2×#11745659C2311yescharacteristic
258C2×#11745659C2311yescharacteristic
259C22×C59⋊C8C2311yescharacteristic
260#14273726C2311yescharacteristic
261#14273726C2311yescharacteristic
262#14273725C2311yescharacteristic
263#14273724C2311yescharacteristic
264#14273723—21no—
265#14273723—21no—
266#14273723—21no—
267#14273723—21no—
268#14273723—21no—
269#14273723—21no—
270#14273723C2311yescharacteristic
271#14273723C2311yescharacteristic
272#14273723C2311yescharacteristic
273#14273723C2311yescharacteristic
274#14273723C2311yescharacteristic
275#14273723C2311yescharacteristic
276#14273723C2311yescharacteristic
277#14273722—21no—
278#14273722—21no—
279#14273722—21no—
280#14273722—21no—
281#14273721—21no—
282#14273718C2311yescharacteristic
283#14273717—21no—
284#14273717—21no—
285#14273716C2311yescharacteristic
286#14273715—21no—
287#14273715C2311yescharacteristic
288#14273713—21no—
289#14273713—21no—
290#14273713—21no—
291#14273713—21no—
292#14273712—21no—
293#14273712—21no—
294#14273712—21no—
295#14273712—21no—
296#14273711—21no—
297#14273710—21no—
298#14273709—21no—
299#14273707—21no—
300#14273707C2311yescharacteristic
301#14273706C2311yescharacteristic
302#14273705—21no—
303#14273705—21no—
304#14273705—21no—
305#14273704—21no—
306#14273702—21no—
307#14273702—21no—
308#14273702C2311yescharacteristic
309#14273702C2311yescharacteristic
310#14273701—21no—
311#14273701C2311yescharacteristic
312#14273701C2311yescharacteristic
313#14273701C2311yescharacteristic
314#14273700—21no—
315#14273700—21no—
316#14273700—21no—
317#14273700—21no—
318#14273700—21no—
319#14273700—21no—
320#14273700—21no—
321#14273700—21no—
322#14273699—21no—
323#14273699—21no—
324#14273699—21no—
325#14273699—21no—
326#14273699—21no—
327#14273699—21no—
328#14273698—21no—
329#14273698C2311yescharacteristic
330#14273697—21no—
331#14273697—21no—
332#14273697—21no—
333#14273697—21no—
334#14273697—21no—
335#14273696—21no—
336#14273696—21no—
337#14273695—21no—
338#14273695—21no—
339#14273695—21no—
340#14273695—21no—
341#14273695—21no—
342Q8×Dic59C2311yescharacteristic
343C4×Dic118C2311yescharacteristic
344#14273692—21no—
345#14273692D411yescharacteristic
346#14273692C2311yescharacteristic
347#14273692C2311yescharacteristic
348C4×D236—21no—
349C4×D236C2311yescharacteristic
350C4×D236C2311yescharacteristic
351D4×Dic59D411yescharacteristic
352D4×Dic59C2311yescharacteristic
353D4×Dic59C2311yescharacteristic
354#14273689—21no—
355#14273689—21no—
356#14273689—21no—
357#14273689—21no—
358#14273689C2311yescharacteristic
359#14273689C2311yescharacteristic
360#14273689C2311yescharacteristic
361#14273689C2311yescharacteristic
362#14273689C2311yescharacteristic
363#14273689C2311yescharacteristic
364#14273689C2311yescharacteristic
365C4×C22⋊D59—21no—
366C4×C22⋊D59C2311yescharacteristic
367C4×C22⋊D59C2311yescharacteristic
368(C22⋊D59)⋊C4—21no—
369(C22⋊D59)⋊C4—21no—
370(C22⋊D59)⋊C4—21no—
371(C22⋊D59)⋊C4—21no—
372(C22⋊D59)⋊C4—21no—
373(C22⋊D59)⋊C4D411yescharacteristic
374(C22⋊D59)⋊C4D411yescharacteristic
375#14273686—21no—
376#14273685—21no—
377#14273685—21no—
378#14273685—21no—
379#14273685D411yescharacteristic
380#14273685C2311yescharacteristic
381#14273684—21no—
382#14273684—21no—
383#14273684—21no—
384#14273683—21no—
385#14273683D411yescharacteristic
386#14273683D411yescharacteristic
387C4⋊C4×D59—21no—
388C4⋊C4×D59—21no—
389C2×(C2×D59)⋊C4—21no—
390C22⋊C4×D59—21no—
391C22⋊C4×D59—21no—
392C2×C4×Dic59C2311yescharacteristic
393C2×C4×Dic59C2311yescharacteristic
394C42×D59—21no—
395C42×D59—21no—
396C42×D59C2311yescharacteristic
397#14273660C2311yescharacteristic
398#14273660C2311yescharacteristic
399#14273659C2311yescharacteristic
400#14273658C2311yescharacteristic
401#14273658C2311yescharacteristic
402C4⋊(C59⋊C8)C2311yescharacteristic
403Dic59⋊C8C2311yescharacteristic
404Dic59⋊C8C2311yescharacteristic
405Dic59⋊C8C2311yescharacteristic
406Dic59⋊C8C2311yescharacteristic
407Dic59⋊C8C2311yescharacteristic
408Dic59⋊C8C2311yescharacteristic
409Dic59⋊C8C2311yescharacteristic
410Dic59⋊C8C2311yescharacteristic
411#14273652C2311yescharacteristic
412#14273651C2311yescharacteristic
413#14273650C2311yescharacteristic
414#14273649C2311yescharacteristic
415#14273649C2311yescharacteristic
416#14273649C2311yescharacteristic
417#14273649C2311yescharacteristic
418#14273649C2311yescharacteristic
419#14273648C2311yescharacteristic
420#14273648C2311yescharacteristic
421#14273648C2311yescharacteristic
422#14273647C2311yescharacteristic
423#14273647C2311yescharacteristic
424#14273647C2311yescharacteristic
425#14273647C2311yescharacteristic
426#14273647C2311yescharacteristic
427#14273647C2311yescharacteristic
428#14273647C2311yescharacteristic
429#14273647C2311yescharacteristic
430#14273647C2311yescharacteristic
431#14273647C2311yescharacteristic
432#14273647C2311yescharacteristic
433C22⋊(C59⋊C8)C2311yescharacteristic
434C22⋊(C59⋊C8)C2311yescharacteristic
435(C2×D59)⋊C8C2311yescharacteristic
436(C2×D59)⋊C8C2311yescharacteristic
437#14273638C2311yescharacteristic
438#14273637C2311yescharacteristic
439#14273637C2311yescharacteristic
440C8×Dic59C2311yescharacteristic
441C8×Dic59C2311yescharacteristic
442C22×D4×C59—21no—
443C22×D4×C59C2311yescharacteristic
444C22×D4×C59C2311yescharacteristic
445C2×SD16×C59C2311yescharacteristic
446C2×SD16×C59C2311yescharacteristic
447C2×SD16×C59C2311yescharacteristic
448C2×M16×C59C2311yescharacteristic
449C22×C8×C59C2311yescharacteristic
450#127×C59C2311yescharacteristic
451#126×C59—21no—
452#125×C59—21no—
453#125×C59C2311yescharacteristic
454#123×C59—21no—
455C22⋊Q8×C59C2311yescharacteristic
456C22⋊Q8×C59C2311yescharacteristic
457#121×C59—21no—
458#121×C59C2311yescharacteristic
459#121×C59C2311yescharacteristic
460#120×C59—21no—
461#120×C59—21no—
462C4×Q8×C59C2311yescharacteristic
463C4×D4×C59C2311yescharacteristic
464C4×D4×C59C2311yescharacteristic
465#117×C59—21no—
466#117×C59C2311yescharacteristic
467C2×C4⋊C4×C59C2311yescharacteristic
468#107×C59C2311yescharacteristic
469#107×C59C2311yescharacteristic
470#106×C59C2311yescharacteristic
471C4⋊C8×C59C2311yescharacteristic
472#103×C59C2311yescharacteristic
473#102×C59C2311yescharacteristic
474#102×C59C2311yescharacteristic
475#102×C59C2311yescharacteristic
476#102×C59C2311yescharacteristic
477#102×C59C2311yescharacteristic
478#102×C59C2311yescharacteristic
479#102×C59C2311yescharacteristic
480#102×C59C2311yescharacteristic
481#102×C59C2311yescharacteristic
482C22⋊C8×C59C2311yescharacteristic
483C22⋊C8×C59C2311yescharacteristic
484#97×C59C2311yescharacteristic
485C24×C59—21no—
486C24×C59—21no—
487C23×D59—21no—
488C23×D59—21no—
489C23×D59—21no—
490C23×D59—21no—
491C23×D59—21no—
492C2×Q8×C59C2411yescharacteristic
493C2×D4×C59—21no—
494C2×D4×C59—21no—
495C2×D4×C59—21no—
496C2×D4×C59—21no—
497C2×D4×C59—21no—
498C2×D4×C59—21no—
499C2×D4×C59—41no—
500C2×D4×C59—41no—
501C2×D4×C59—41no—
502C2×D4×C59—41no—
503C2×D4×C59—44no—
504C2×D4×C59C2×D411yescharacteristic
505C2×D4×C59C2411yescharacteristic
506C2×D4×C59C2411yescharacteristic
507C2×D4×C59C2411yescharacteristic
508C22×C4×C59—21no—
509C22×C4×C59—21no—
510C22×C4×C59C2411yescharacteristic
511C22×C4×C59C2411yescharacteristic
512C2×C22⋊D59—21no—
513C2×C22⋊D59—21no—
514C2×C22⋊D59—21no—
515C2×C22⋊D59—21no—
516C2×C22⋊D59—21no—
517C2×C22⋊D59—21no—
518C2×C22⋊D59—21no—
519C2×C22⋊D59—21no—
520C2×C22⋊D59—21no—
521C2×C22⋊D59—21no—
522C2×C22⋊D59—21no—
523C2×C22⋊D59—21no—
524C2×C22⋊D59—21no—
525C2×C22⋊D59—21no—
526C2×C22⋊D59—21no—
527C2×C22⋊D59—21no—
528C2×C22⋊D59—21no—
529C2×C22⋊D59—21no—
530C2×C22⋊D59—21no—
531C2×C22⋊D59—21no—
532C2×C22⋊D59—21no—
533C2×C22⋊D59—44no—
534C2×C22⋊D59—44no—
535C2×C22⋊D59—44no—
536C2×C22⋊D59—44no—
537C2×C22⋊D59—82no—
538C2×C22⋊D59—82no—
539C2×C22⋊D59C2×D411yescharacteristic
540C2×C22⋊D59C2×D411yescharacteristic
541C22×Dic59—21no—
542C22×Dic59—21no—
543C22×Dic59C2×D411yescharacteristic
544C22×Dic59C2×D411yescharacteristic
545C22×Dic59C2×D411yescharacteristic
546C22×Dic59C2×D411yescharacteristic
547#11745689—22no—
548#11745689—41no—
549#11745687—24no—
550#11745687—44no—
551#11745687—44no—
552#11745687—44no—
553D4×D59—41no—
554D4×D59—41no—
555D4×D59—41no—
556D4×D59—41no—
557D4×D59—44no—
558D4×D59—44no—
559D4×D59—44no—
560D4×D59—44no—
561D4×D59—82no—
562#11745685—22no—
563#11745685—41no—
564#11745685—44no—
565#11745685—44no—
566C2×D236—22no—
567C2×D236—21no—
568C2×D236—21no—
569C2×D236—21no—
570C2×D236—21no—
571C2×D236—21no—
572C2×D236—21no—
573C2×D236—21no—
574C2×D236—21no—
575C2×D236—41no—
576C2×D236—41no—
577C2×D236—41no—
578C2×D236—41no—
579C2×D236—41no—
580C2×D236C2411yescharacteristic
581C2×D236C2411yescharacteristic
582C2×D236C2411yescharacteristic
583C2×D236C2411yescharacteristic
584C2×D236C2411yescharacteristic
585C2×C4×D59—21no—
586C2×C4×D59—21no—
587C2×C4×D59—21no—
588C2×C4×D59—21no—
589C2×C4×D59—21no—
590C2×C4×D59—21no—
591C2×C4×D59—21no—
592C2×C4×D59—21no—
593C2×C4×D59—21no—
594C2×C4×D59—21no—
595C2×C4×D59—21no—
596C2×C4×D59—44no—
597C2×C4×D59C2×D411yescharacteristic
598C2×C4×D59C2×D411yescharacteristic
599C2×C4×D59C2411yescharacteristic
600C2×Dic118—21no—
601C2×Dic118—21no—
602C2×Dic118C2×D411yescharacteristic
603C2×Dic118C2411yescharacteristic
604SD16×C59—41no—
605SD16×C59—41no—
606SD16×C59—41no—
607M16×C59—41no—
608C2×C8×C59—41no—
609C2×C8×C59C2411yescharacteristic
610C2×C8×C59C2411yescharacteristic
611C2×C8×C59C2411yescharacteristic
612C2×C8×C59C2411yescharacteristic
613C4⋊C4×C59—21no—
614C4⋊C4×C59—21no—
615C4⋊C4×C59—21no—
616C4⋊C4×C59—21no—
617C4⋊C4×C59—21no—
618C4⋊C4×C59—21no—
619C4⋊C4×C59C2×D411yescharacteristic
620C4⋊C4×C59C2411yescharacteristic
621C4⋊C4×C59C2411yescharacteristic
622C4⋊C4×C59C2411yescharacteristic
623C4⋊C4×C59C2411yescharacteristic
624C22⋊C4×C59—21no—
625C22⋊C4×C59—21no—
626C22⋊C4×C59—21no—
627C22⋊C4×C59—21no—
628C22⋊C4×C59—21no—
629C22⋊C4×C59—21no—
630C22⋊C4×C59C2×D411yescharacteristic
631C22⋊C4×C59C2×D411yescharacteristic
632C42×C59—21no—
633C42×C59—21no—
634C42×C59C2411yescharacteristic
635C22⋊Dic59—21no—
636C22⋊Dic59—21no—
637C22⋊Dic59—21no—
638C22⋊Dic59—21no—
639C22⋊Dic59C2×D411yescharacteristic
640C22⋊Dic59C2×D411yescharacteristic
641#11745671—41no—
642#11745671—41no—
643#11745671—41no—
644#11745670—41no—
645#11745670—41no—
646#11745670—41no—
647#11745669—22no—
648#11745669—22no—
649#11745669—22no—
650#11745669—41no—
651#11745669—41no—
652#11745669—41no—
653(C2×D59)⋊C4—21no—
654(C2×D59)⋊C4—21no—
655(C2×D59)⋊C4—21no—
656(C2×D59)⋊C4—21no—
657(C2×D59)⋊C4—21no—
658(C2×D59)⋊C4—21no—
659(C2×D59)⋊C4—21no—
660(C2×D59)⋊C4—21no—
661(C2×D59)⋊C4—21no—
662(C2×D59)⋊C4—21no—
663(C2×D59)⋊C4—21no—
664(C2×D59)⋊C4—21no—
665(C2×D59)⋊C4—21no—
666(C2×D59)⋊C4—21no—
667(C2×D59)⋊C4—21no—
668(C2×D59)⋊C4—21no—
669(C2×D59)⋊C4—21no—
670(C2×D59)⋊C4—21no—
671(C2×D59)⋊C4—21no—
672(C2×D59)⋊C4—21no—
673(C2×D59)⋊C4C2×D411yescharacteristic
674(C2×D59)⋊C4C2×D411yescharacteristic
675C4⋊Dic59—21no—
676C4⋊Dic59—21no—
677C4⋊Dic59—21no—
678C4⋊Dic59C2×D411yescharacteristic
679C4⋊Dic59C2411yescharacteristic
680C4⋊Dic59C2411yescharacteristic
681Dic59⋊C4—21no—
682Dic59⋊C4—21no—
683Dic59⋊C4—21no—
684Dic59⋊C4—21no—
685Dic59⋊C4—21no—
686Dic59⋊C4—21no—
687Dic59⋊C4—21no—
688Dic59⋊C4—21no—
689Dic59⋊C4C2×D411yescharacteristic
690Dic59⋊C4C2×D411yescharacteristic
691Dic59⋊C4C2×D411yescharacteristic
692Dic59⋊C4C2×D411yescharacteristic
693C4×Dic59—21no—
694C4×Dic59—21no—
695C4×Dic59—21no—
696C4×Dic59—21no—
697C4×Dic59C2×D411yescharacteristic
698C4×Dic59C2×D411yescharacteristic
699C4×Dic59C2×D411yescharacteristic
700C4×Dic59C2×D411yescharacteristic
701C4×Dic59C2×D411yescharacteristic
702C4×Dic59C2×D411yescharacteristic
703C4×Dic59C2411yescharacteristic
704C4×Dic59C2411yescharacteristic
705C4×Dic59C2411yescharacteristic
706#11745664—41no—
707C2×C59⋊C8—41no—
708C2×C59⋊C8C2411yescharacteristic
709C2×C59⋊C8C2411yescharacteristic
710C2×C59⋊C8C2411yescharacteristic
711C2×C59⋊C8C2411yescharacteristic
712D472—22no—
713D472—22no—
714D472—22no—
715D472—41no—
716D472—41no—
717D472—41no—
718#11745660—41no—
719#11745660—41no—
720#11745660—41no—
721#11745659—41no—
722#11745659—41no—
723C23×C59—21no—
724C23×C59—21no—
725C23×C59—21no—
726C23×C59—42no—
727C23×C59—42no—
728C23×C59—81no—
729C23×C59—81no—
730C23×C59—81no—
731C23×C59—81no—
732C23×C59C22×D411yescharacteristic
733C23×C59C22×D411yescharacteristic
734C22×D59—21no—
735C22×D59—21no—
736C22×D59—21no—
737C22×D59—21no—
738C22×D59—21no—
739C22×D59—42no—
740C22×D59—42no—
741C22×D59—42no—
742C22×D59—42no—
743C22×D59—42no—
744C22×D59—42no—
745C22×D59—81no—
746C22×D59—81no—
747C22×D59—81no—
748C22×D59—81no—
749C22×D59—81no—
750C22×D59—81no—
751C22×D59—81no—
752C22×D59—81no—
753C22×D59—81no—
754C22×D59C22×D411yescharacteristic
755Q8×C59—21no—
756Q8×C59—21no—
757D4×C59—22no—
758D4×C59—21no—
759D4×C59—21no—
760D4×C59—21no—
761D4×C59—21no—
762D4×C59—21no—
763D4×C59—21no—
764D4×C59—42no—
765D4×C59—42no—
766D4×C59—42no—
767D4×C59—81no—
768D4×C59—81no—
769D4×C59—81no—
770C2×C4×C59—21no—
771C2×C4×C59—21no—
772C2×C4×C59—21no—
773C2×C4×C59—21no—
774C2×C4×C59—21no—
775C2×C4×C59—21no—
776C2×C4×C59—21no—
777C2×C4×C59—21no—
778C2×C4×C59—21no—
779C2×C4×C59—42no—
780C2×C4×C59—42no—
781C2×C4×C59C22×D411yescharacteristic
782C2×C4×C59C22×D411yescharacteristic
783C2×C4×C59C22×D411yescharacteristic
784C2×C4×C59C22×D411yescharacteristic
785C2×C4×C59C2511yescharacteristic
786C22⋊D59—22no—
787C22⋊D59—22no—
788C22⋊D59—42no—
789C22⋊D59—42no—
790C22⋊D59—42no—
791C22⋊D59—42no—
792C22⋊D59—42no—
793C22⋊D59—42no—
794C22⋊D59—42no—
795C22⋊D59—42no—
796C22⋊D59—42no—
797C22⋊D59—42no—
798C22⋊D59—42no—
799C22⋊D59—42no—
800C22⋊D59—42no—
801C22⋊D59—42no—
802C22⋊D59—81no—
803C22⋊D59—81no—
804C22⋊D59—81no—
805C22⋊D59—81no—
806C22⋊D59—81no—
807C22⋊D59—81no—
808C22⋊D59—81no—
809C2×Dic59—22no—
810C2×Dic59—21no—
811C2×Dic59—21no—
812C2×Dic59—21no—
813C2×Dic59—41no—
814C2×Dic59—41no—
815C2×Dic59—42no—
816C2×Dic59—42no—
817C2×Dic59AGL(1,ℤ/8)14yescomplemented
818C2×Dic59C22×D411yescharacteristic
819C2×Dic59C22×D411yescharacteristic
820C2×Dic59C22×D411yescharacteristic
821C2×Dic59C22×D411yescharacteristic
822C2×Dic59C22×D411yescharacteristic
823C2×Dic59C22×D411yescharacteristic
824C2×Dic59C22×D411yescharacteristic
825D236—21no—
826D236—21no—
827D236—21no—
828D236—21no—
829D236—21no—
830D236—21no—
831D236—21no—
832D236—21no—
833D236—21no—
834D236—42no—
835D236—42no—
836D236—42no—
837D236—42no—
838D236—81no—
839D236—81no—
840D236—81no—
841D236—81no—
842D236H(5,𝔽2)12yescomplemented
843C4×D59—21no—
844C4×D59—21no—
845C4×D59—22no—
846C4×D59—41no—
847C4×D59—42no—
848C4×D59—42no—
849C4×D59—42no—
850C4×D59—42no—
851C4×D59—42no—
852C4×D59—42no—
853C4×D59—42no—
854C4×D59—42no—
855C4×D59—42no—
856C4×D59—81no—
857C4×D59—81no—
858Dic118—22no—
859Dic118—21no—
860Dic118—21no—
861Dic118—42no—
862Dic118—81no—
863C8×C59—21no—
864C8×C59—21no—
865C8×C59—21no—
866C8×C59—21no—
867C59⋊C8—21no—
868C59⋊C8—21no—
869C59⋊C8—21no—
870C59⋊C8—21no—
871#61959—591nomaximal, Sylow
872C22×C59—21no—
873C22×C59—21no—
874C22×C59—21no—
875C22×C59—21no—
876C22×C59—21no—
877C22×C59—41no—
878C22×C59—41no—
879C22×C59—41no—
880C22×C59—41no—
881C22×C59—41no—
882C22×C59—41no—
883C22×C59—41no—
884C22×C59—41no—
885C22×C59—41no—
886C22×C59—162no—
887C22×C59—162no—
888C22×C59C2×AGL(1,ℤ/8)12yes—
889C22×C59C23×D411yescharacteristic
890C2×D59—21no—
891C2×D59—21no—
892C2×D59—22no—
893C2×D59—21no—
894C2×D59—41no—
895C2×D59—41no—
896C2×D59—41no—
897C2×D59—41no—
898C2×D59—41no—
899C2×D59—41no—
900C2×D59—41no—
901C2×D59—41no—
902C2×D59—41no—
903C2×D59—41no—
904C2×D59—41no—
905C2×D59—41no—
906C2×D59—41no—
907C2×D59—41no—
908C2×D59—84no—
909C2×D59—162no—
910C2×D59—162no—
911C2×D59—162no—
912C2×D59—162no—
913C4×C59—21no—
914C4×C59—21no—
915C4×C59—21no—
916C4×C59—21no—
917C4×C59—41no—
918C4×C59—41no—
919C4×C59—41no—
920C4×C59—41no—
921C4×C59—41no—
922C4×C59C2×H(5,𝔽2)11yescharacteristic
923C4×C59#58511yescharacteristic
924Dic59—21no—
925Dic59—21no—
926Dic59—21no—
927Dic59—21no—
928Dic59—21no—
929Dic59—41no—
930Dic59—41no—
931Dic59—41no—
932Dic59C2×AGL(1,ℤ/8)12yes—
933Dic59C2×AGL(1,ℤ/8)12yes—
934#3498—591no—
935#3475—591no—
936#3397—591no—
937#3397—591no—
938#3366—591no—
939#3366—591no—
940#3325—591no—
941#3325—591no—
942#3310—591no—
943#3310—591no—
944#3310—591no—
945#3310D5911yescharacteristic, complemented
946#3272—591no—
947#3272—591no—
948#3264—591no—
949#3264—591no—
950#3264—591no—
951#3264—591no—
952#3251—591no—
953#3251—591no—
954#3246—591no—
955#3217—591no—
956#3217—591no—
957#3208—591no—
958#3115—591no—
959#3115—591no—
960#3100—591no—
961#3038—591no—
962#3038—591no—
963C2×#459—591no—
964#2989—591no—
965C2×C59—22no—
966C2×C59—41no—
967C2×C59—81no—
968C2×C59—81no—
969C2×C59—81no—
970C2×C59#348811yescharacteristic
971C2×C59C22×AGL(1,ℤ/8)11yescharacteristic
972C2×C59#358511yescharacteristic
973D59—41no—
974D59—42no—
975D59—81no—
976D59—81no—
977D59—81no—
978D59—81no—
979C2×H(5,𝔽2)—1181no—
980C2×AGL(1,ℤ/8)—591no—
981C2×AGL(1,ℤ/8)—591no—
982C2×AGL(1,ℤ/8)—591no—
983C2×AGL(1,ℤ/8)—591no—
984C22×D8—591no—
985C22×D8—591no—
986#556—591no—
987#555—591no—
988#554—591no—
989#553—1181no—
990#552—591no—
991#552—1181no—
992#552C2×D5911yescharacteristic, complemented
993#551—1181no—
994#551—1181no—
995#550—591no—
996#550—591no—
997#550—1181no—
998#547—591no—
999#546—591no—
1000#546—591no—
1001D42—591no—
1002D42—591no—
1003D42—591no—
1004D42—591no—
1005D42—591no—
1006D42—1181no—
1007D42—1181no—
1008D42—1181no—
1009D42C2×D5911yescharacteristic
1010#535—1181no—
1011#535—1181no—
1012#535—1181no—
1013#533—591no—
1014#532—591no—
1015#532—591no—
1016#532—591no—
1017C2×#127—591no—
1018C2×#127—591no—
1019C2×#127—591no—
1020#529—591no—
1021#529—591no—
1022#529—1181no—
1023#529—1181no—
1024#525—1181no—
1025C4×#41—591no—
1026C4×#41—591no—
1027C4×#41—591no—
1028C2×C4×D4—591no—
1029C2×#117—1181no—
1030#496—591no—
1031#496—591no—
1032#496—591no—
1033#496—591no—
1034#492—591no—
1035#492—591no—
1036#490—591no—
1037#490—591no—
1038#490—591no—
1039#490C2×D5911yescharacteristic, complemented
1040#486—591no—
1041#486—591no—
1042#482—591no—
1043#482—591no—
1044#482—591no—
1045#482C2×D5911yescharacteristic, complemented
1046#480—591no—
1047#480C2×D5911yescharacteristic, complemented
1048#478—591no—
1049#478—591no—
1050#478—591no—
1051#478C2×D5911yescharacteristic, complemented
1052#476—591no—
1053#476—591no—
1054#475—591no—
1055#475—591no—
1056#474—591no—
1057#474—591no—
1058#469—591no—
1059#469—591no—
1060#469—591no—
1061#469—591no—
1062#468—591no—
1063#468—591no—
1064#468—591no—
1065#468C2×D5911yescharacteristic, complemented
1066#465—591no—
1067#465—591no—
1068#465—591no—
1069#465C2×D5911yescharacteristic, complemented
1070#463—591no—
1071#463—591no—
1072#463—591no—
1073#463—591no—
1074#461—591no—
1075#461—591no—
1076#460—591no—
1077#460—591no—
1078#460—591no—
1079#460—591no—
1080#460—591no—
1081#460—591no—
1082#460—591no—
1083#460—591no—
1084#460—591no—
1085#460C2×D5911yescharacteristic, complemented
1086#459—591no—
1087#459—591no—
1088#459—591no—
1089#459—591no—
1090#459—591no—
1091#459—591no—
1092#459—591no—
1093#459—591no—
1094#459—591no—
1095#459—591no—
1096#459—591no—
1097#459—591no—
1098#459—591no—
1099#459—591no—
1100#450—591no—
1101#450—591no—
1102#450—591no—
1103#450—591no—
1104#450—591no—
1105#450—591no—
1106#450C2×D5911yescharacteristic, complemented
1107#450C2×D5911yescharacteristic, complemented
1108#449—591no—
1109#449—591no—
1110#449—591no—
1111#449—591no—
1112#447—591no—
1113#447—591no—
1114#447—591no—
1115#447—591no—
1116#447—591no—
1117#447—591no—
1118#446—591no—
1119#446—591no—
1120#442—591no—
1121#442—591no—
1122#442—591no—
1123#442—591no—
1124#440—591no—
1125#440—591no—
1126#440—591no—
1127#440C2×D5911yescharacteristic, complemented
1128C4×D8—591no—
1129C4×D8—591no—
1130C4×D8—591no—
1131C4×D8—591no—
1132#436—591no—
1133#436—591no—
1134#435—591no—
1135#435—591no—
1136#435—591no—
1137#435C2×D5911yescharacteristic, complemented
1138#432—591no—
1139#432—591no—
1140#431—591no—
1141#423—591no—
1142#423—591no—
1143C2×C4⋊C8—591no—
1144#418—591no—
1145#418—591no—
1146#418—591no—
1147#418C2×D5911yescharacteristic, complemented
1148C2×#102—591no—
1149C2×#102C2×D5911yescharacteristic, complemented
1150C59#6195911yescharacteristic, complemented, Sylow
1151H(5,𝔽2)—2368no—
1152C2×#41—591no—
1153C2×#41—591no—
1154C2×#41—591no—
1155C2×#41—1181no—
1156C2×#41—1181no—
1157C2×#41—1181no—
1158C2×#41—1181no—
1159C2×#41—1181no—
1160C22×D4—21no—
1161C22×D4—591no—
1162C22×D4—591no—
1163C22×D4—591no—
1164C22×D4—591no—
1165C22×D4—591no—
1166C22×D4—1181no—
1167C22×D4—1181no—
1168C22×D4—1181no—
1169C22×D4—1181no—
1170C22×D4—1181no—
1171C22×D4—1181no—
1172C22×D4—1181no—
1173C22×D4—1181no—
1174C22×D4—1181no—
1175C22×D4—1181no—
1176C22×D4—1181no—
1177C22×D4C22×D5911yescharacteristic
1178C22×D4C22×D5911yescharacteristic
1179C23×C4—1181no—
1180AGL(1,ℤ/8)—2362no—
1181AGL(1,ℤ/8)—2362no—
1182AGL(1,ℤ/8)—2362no—
1183AGL(1,ℤ/8)—2362no—
1184C2×SD16—591no—
1185C2×SD16—591no—
1186C2×SD16—591no—
1187C2×SD16—591no—
1188C2×SD16—591no—
1189C2×SD16—591no—
1190C2×SD16—591no—
1191C2×SD16—591no—
1192C2×SD16—591no—
1193C2×SD16C22×D5911yescharacteristic
1194C2×SD16C22×D5911yescharacteristic
1195C2×SD16C22×D5911yescharacteristic
1196C2×D8—591no—
1197C2×D8—591no—
1198C2×D8—591no—
1199C2×D8—591no—
1200C2×D8—591no—
1201C2×D8—591no—
1202C2×D8—591no—
1203C2×D8—591no—
1204C2×D8—591no—
1205C2×D8—591no—
1206C2×D8—591no—
1207C2×D8—591no—
1208C2×D8—2362no—
1209C2×D8—2362no—
1210C2×M16—591no—
1211C2×M16—591no—
1212C2×M16—591no—
1213C2×M16C22×D5911yescharacteristic
1214C22×C8—591no—
1215C22×C8C22×D5911yescharacteristic
1216C4⋊Q8—591no—
1217C4⋊Q8—591no—
1218C4⋊Q8—591no—
1219#127—591no—
1220#127—591no—
1221#127—591no—
1222#127—591no—
1223#127—591no—
1224#127—591no—
1225#127—591no—
1226#127—591no—
1227#127—1181no—
1228#127—1181no—
1229#127—1181no—
1230#127—1181no—
1231#127—1181no—
1232#127—1181no—
1233#127C22×D5911yescharacteristic
1234#126—21no—
1235#126—1181no—
1236#126—1181no—
1237#126—1181no—
1238#126—1181no—
1239#126—1181no—
1240#125—21no—
1241#125—591no—
1242#125—1181no—
1243#125—1181no—
1244#125C22×D5911yescharacteristic
1245#124—591no—
1246#124—591no—
1247#124—1181no—
1248#124—1181no—
1249#124—1181no—
1250#124—1181no—
1251#124—1181no—
1252#123—21no—
1253#123—1181no—
1254#123—1181no—
1255#123—1181no—
1256#123—1181no—
1257#123—1181no—
1258#123—1181no—
1259#123—1181no—
1260C22⋊Q8—591no—
1261C22⋊Q8—591no—
1262C22⋊Q8—1181no—
1263C22⋊Q8—1181no—
1264C22⋊Q8—1181no—
1265C22⋊Q8—1181no—
1266C22⋊Q8—1181no—
1267C22⋊Q8C22×D5911yescharacteristic
1268C22⋊Q8C22×D5911yescharacteristic
1269#121—21no—
1270#121—591no—
1271#121—591no—
1272#121—591no—
1273#121—591no—
1274#121—591no—
1275#121—591no—
1276#121—1181no—
1277#121—1181no—
1278#121—1181no—
1279#121—1181no—
1280#121—1181no—
1281#121—1181no—
1282#121—1181no—
1283#121—1181no—
1284#121—1181no—
1285#121—1181no—
1286#121—1181no—
1287#121—1181no—
1288#121—1181no—
1289#121—1181no—
1290#121—1181no—
1291#121—1181no—
1292#121—1181no—
1293#121—1181no—
1294#121C22×D5911yescharacteristic
1295#121C22×D5911yescharacteristic
1296#120—21no—
1297#120—21no—
1298#120—1181no—
1299#120—1181no—
1300#120—1181no—
1301#120—1181no—
1302#120—1181no—
1303#120—1181no—
1304#120—1181no—
1305#120—1181no—
1306#120—1181no—
1307#120—1181no—
1308#120—1181no—
1309#120—1181no—
1310C4×Q8—591no—
1311C4×Q8—591no—
1312C4×Q8—591no—
1313C4×Q8—591no—
1314C4×Q8—591no—
1315C4×Q8—1181no—
1316C4×Q8C22×D5911yescharacteristic
1317C4×D4—591no—
1318C4×D4—591no—
1319C4×D4—591no—
1320C4×D4—591no—
1321C4×D4—591no—
1322C4×D4—591no—
1323C4×D4—591no—
1324C4×D4—591no—
1325C4×D4—591no—
1326C4×D4—591no—
1327C4×D4—591no—
1328C4×D4—591no—
1329C4×D4—591no—
1330C4×D4—591no—
1331C4×D4—591no—
1332C4×D4—591no—
1333C4×D4—1181no—
1334C4×D4—1181no—
1335C4×D4—1181no—
1336C4×D4—1181no—
1337C4×D4—1181no—
1338C4×D4—1181no—
1339C4×D4—1181no—
1340C4×D4—1181no—
1341C4×D4—1181no—
1342C4×D4—1181no—
1343C4×D4—1181no—
1344C4×D4C22×D5911yescharacteristic
1345C4×D4C22×D5911yescharacteristic
1346#117—21no—
1347#117—591no—
1348#117—591no—
1349#117—591no—
1350#117—591no—
1351#117—1181no—
1352#117—1181no—
1353#117—1181no—
1354#117—1181no—
1355#117—1181no—
1356#117—1181no—
1357#117—1181no—
1358#117—1181no—
1359#117C22×D5911yescharacteristic
1360C2×C4⋊C4—1181no—
1361C2×C4⋊C4—1181no—
1362C2×C4⋊C4C22×D5911yescharacteristic
1363C2×C22⋊C4—1181no—
1364C2×C22⋊C4—1181no—
1365C2×C22⋊C4—1181no—
1366C2×C42—591no—
1367C2×C42—591no—
1368C2×C42—591no—
1369C2×C42—1181no—
1370C2×C42—1181no—
1371#107—591no—
1372#107—591no—
1373#107C22×D5911yescharacteristic
1374#107C22×D5911yescharacteristic
1375#106—591no—
1376#106—591no—
1377#106—591no—
1378#106C22×D5911yescharacteristic
1379C4⋊C8—591no—
1380C4⋊C8—591no—
1381C4⋊C8—591no—
1382C4⋊C8—591no—
1383C4⋊C8—591no—
1384C4⋊C8—591no—
1385C4⋊C8—591no—
1386C4⋊C8—591no—
1387C4⋊C8—591no—
1388C4⋊C8C22×D5911yescharacteristic
1389#103—591no—
1390#103—591no—
1391#103—591no—
1392#103C22×D5911yescharacteristic
1393#102—591no—
1394#102—591no—
1395#102—591no—
1396#102—591no—
1397#102—591no—
1398#102—591no—
1399#102—591no—
1400#102—591no—
1401#102—591no—
1402#102—591no—
1403#102—591no—
1404#102—591no—
1405#102—591no—
1406#102—591no—
1407#102—591no—
1408#102—591no—
1409#102—591no—
1410#102—591no—
1411#102—591no—
1412#102C22×D5911yescharacteristic
1413#102C22×D5911yescharacteristic
1414#102C22×D5911yescharacteristic
1415#102C22×D5911yescharacteristic
1416#102C22×D5911yescharacteristic
1417#102C22×D5911yescharacteristic
1418#102C22×D5911yescharacteristic
1419#102C22×D5911yescharacteristic
1420#102C22×D5911yescharacteristic
1421C22⋊C8—591no—
1422C22⋊C8—591no—
1423C22⋊C8—591no—
1424C22⋊C8—591no—
1425C22⋊C8C22×D5911yescharacteristic
1426C22⋊C8C22×D5911yescharacteristic
1427#97—591no—
1428#97—591no—
1429#97—591no—
1430#97C22×D5911yescharacteristic
1431C4×C8—591no—
1432C4×C8—591no—
1433C24—21no—
1434C24—21no—
1435C24—1181no—
1436C24—1181no—
1437C24—1181no—
1438C24—1181no—
1439C24—1181no—
1440#41—1182no—
1441#41—1184no—
1442#41—1182no—
1443#41—2361no—
1444#41—2364no—
1445#41—2364no—
1446#41—2364no—
1447#41—2364no—
1448#41—2361no—
1449#41—2364no—
1450C2×Q8—591no—
1451C2×Q8—591no—
1452C2×Q8—1181no—
1453C2×Q8—1181no—
1454C2×Q8C23×D5911yescharacteristic
1455C2×D4—21no—
1456C2×D4—21no—
1457C2×D4—21no—
1458C2×D4—21no—
1459C2×D4—21no—
1460C2×D4—21no—
1461C2×D4—41no—
1462C2×D4—41no—
1463C2×D4—41no—
1464C2×D4—41no—
1465C2×D4—44no—
1466C2×D4—591no—
1467C2×D4—591no—
1468C2×D4—591no—
1469C2×D4—591no—
1470C2×D4—591no—
1471C2×D4—591no—
1472C2×D4—591no—
1473C2×D4—1182no—
1474C2×D4—1181no—
1475C2×D4—1181no—
1476C2×D4—1181no—
1477C2×D4—1181no—
1478C2×D4—1181no—
1479C2×D4—1181no—
1480C2×D4—1181no—
1481C2×D4—1181no—
1482C2×D4—1181no—
1483C2×D4—1181no—
1484C2×D4—1181no—
1485C2×D4—1181no—
1486C2×D4—1181no—
1487C2×D4—1181no—
1488C2×D4—1181no—
1489C2×D4—1181no—
1490C2×D4—1181no—
1491C2×D4—1181no—
1492C2×D4—1181no—
1493C2×D4—1181no—
1494C2×D4—1181no—
1495C2×D4—1181no—
1496C2×D4—1181no—
1497C2×D4—1181no—
1498C2×D4—1181no—
1499C2×D4—1181no—
1500C2×D4—1181no—
1501C2×D4—1181no—
1502C2×D4—1181no—
1503C2×D4—4722no—
1504C2×D4—4722no—
1505C2×D4—4722no—
1506C2×D4—2361no—
1507C2×D4—2361no—
1508C2×D4—2361no—
1509C2×D4—2361no—
1510C2×D4—2361no—
1511C2×D4—2364no—
1512C2×D4—2361no—
1513C2×D4—2361no—
1514C2×D4—2361no—
1515C2×D4—2361no—
1516C2×D4—2364no—
1517C2×D4—2364no—
1518C2×D4—2364no—
1519C2×D4—2364no—
1520C2×D4—2364no—
1521C2×D4—2364no—
1522C2×D4—2364no—
1523C2×D4D4×D5911yescharacteristic
1524C2×D4C23×D5911yescharacteristic
1525C2×D4C23×D5911yescharacteristic
1526C2×D4C23×D5911yescharacteristic
1527C22×C4—21no—
1528C22×C4—21no—
1529C22×C4—591no—
1530C22×C4—591no—
1531C22×C4—591no—
1532C22×C4—591no—
1533C22×C4—591no—
1534C22×C4—591no—
1535C22×C4—591no—
1536C22×C4—1181no—
1537C22×C4—1181no—
1538C22×C4—1181no—
1539C22×C4—1181no—
1540C22×C4—1181no—
1541C22×C4—1181no—
1542C22×C4—1181no—
1543C22×C4—1181no—
1544C22×C4—1181no—
1545C22×C4—1181no—
1546C22×C4—1181no—
1547C22×C4—1181no—
1548C22×C4—1181no—
1549C22×C4—2364no—
1550C22×C4C23×D5911yescharacteristic
1551C22×C4C23×D5911yescharacteristic
1552SD16—41no—
1553SD16—41no—
1554SD16—41no—
1555SD16—2361no—
1556SD16—2361no—
1557SD16—2361no—
1558SD16—2361no—
1559SD16—2361no—
1560SD16—2361no—
1561SD16—2361no—
1562SD16—2361no—
1563SD16—2361no—
1564D8—1182no—
1565D8—1182no—
1566D8—1182no—
1567D8—1182no—
1568D8—1182no—
1569D8—1182no—
1570D8—2361no—
1571D8—2361no—
1572D8—2361no—
1573D8—2361no—
1574D8—2361no—
1575D8—2361no—
1576M16—41no—
1577M16—2361no—
1578M16—2361no—
1579M16—2361no—
1580C2×C8—41no—
1581C2×C8—591no—
1582C2×C8—591no—
1583C2×C8—591no—
1584C2×C8—591no—
1585C2×C8—2361no—
1586C2×C8C23×D5911yescharacteristic
1587C2×C8C23×D5911yescharacteristic
1588C2×C8C23×D5911yescharacteristic
1589C2×C8C23×D5911yescharacteristic
1590C4⋊C4—21no—
1591C4⋊C4—21no—
1592C4⋊C4—21no—
1593C4⋊C4—21no—
1594C4⋊C4—21no—
1595C4⋊C4—21no—
1596C4⋊C4—591no—
1597C4⋊C4—591no—
1598C4⋊C4—591no—
1599C4⋊C4—591no—
1600C4⋊C4—591no—
1601C4⋊C4—591no—
1602C4⋊C4—591no—
1603C4⋊C4—1181no—
1604C4⋊C4—1181no—
1605C4⋊C4—1181no—
1606C4⋊C4—1181no—
1607C4⋊C4—1181no—
1608C4⋊C4—1181no—
1609C4⋊C4—1181no—
1610C4⋊C4—1181no—
1611C4⋊C4—1181no—
1612C4⋊C4—1181no—
1613C4⋊C4—1181no—
1614C4⋊C4D4×D5911yescharacteristic
1615C4⋊C4C23×D5911yescharacteristic
1616C4⋊C4C23×D5911yescharacteristic
1617C4⋊C4C23×D5911yescharacteristic
1618C4⋊C4C23×D5911yescharacteristic
1619C22⋊C4—21no—
1620C22⋊C4—21no—
1621C22⋊C4—21no—
1622C22⋊C4—21no—
1623C22⋊C4—21no—
1624C22⋊C4—21no—
1625C22⋊C4—591no—
1626C22⋊C4—591no—
1627C22⋊C4—591no—
1628C22⋊C4—591no—
1629C22⋊C4—1181no—
1630C22⋊C4—1181no—
1631C22⋊C4—1181no—
1632C22⋊C4—1181no—
1633C22⋊C4—1181no—
1634C22⋊C4—1181no—
1635C22⋊C4—1181no—
1636C22⋊C4—1181no—
1637C22⋊C4—1181no—
1638C22⋊C4—1181no—
1639C22⋊C4—1181no—
1640C22⋊C4—1181no—
1641C22⋊C4—1181no—
1642C22⋊C4—1181no—
1643C22⋊C4—1181no—
1644C22⋊C4—1181no—
1645C22⋊C4—1181no—
1646C22⋊C4—1181no—
1647C22⋊C4—1181no—
1648C22⋊C4—1181no—
1649C22⋊C4—1181no—
1650C22⋊C4—1181no—
1651C22⋊C4—1181no—
1652C22⋊C4—1181no—
1653C22⋊C4D4×D5911yescharacteristic
1654C22⋊C4D4×D5911yescharacteristic
1655C42—21no—
1656C42—21no—
1657C42—591no—
1658C42—591no—
1659C42—591no—
1660C42—591no—
1661C42—591no—
1662C42—591no—
1663C42—591no—
1664C42—591no—
1665C42—591no—
1666C42—1181no—
1667C42—1181no—
1668C42—1181no—
1669C42—1181no—
1670C42C23×D5911yescharacteristic
1671C23—21no—
1672C23—21no—
1673C23—21no—
1674C23—42no—
1675C23—42no—
1676C23—81no—
1677C23—81no—
1678C23—81no—
1679C23—81no—
1680C23—591no—
1681C23—1181no—
1682C23—1181no—
1683C23—1181no—
1684C23—1181no—
1685C23—1181no—
1686C23—4721no—
1687C23—4721no—
1688C23—4721no—
1689C23—4721no—
1690C23—4721no—
1691C23—4721no—
1692C23—4721no—
1693C23—4721no—
1694C23—4721no—
1695C23—2362no—
1696C23—2362no—
1697C23—2362no—
1698C23—2362no—
1699C23—2362no—
1700C23—2362no—
1701C23C2×D4×D5911yescharacteristic
1702C23C2×D4×D5911yescharacteristic
1703Q8—21no—
1704Q8—21no—
1705Q8—1182no—
1706Q8—1181no—
1707Q8—1181no—
1708Q8—4721no—
1709Q8—2362no—
1710D4—22no—
1711D4—21no—
1712D4—21no—
1713D4—21no—
1714D4—21no—
1715D4—21no—
1716D4—21no—
1717D4—42no—
1718D4—42no—
1719D4—42no—
1720D4—81no—
1721D4—81no—
1722D4—81no—
1723D4—592no—
1724D4—1182no—
1725D4—1182no—
1726D4—1181no—
1727D4—1181no—
1728D4—1181no—
1729D4—1181no—
1730D4—1181no—
1731D4—1181no—
1732D4—1181no—
1733D4—1181no—
1734D4—1181no—
1735D4—4721no—
1736D4—4721no—
1737D4—4721no—
1738D4—4721no—
1739D4—4721no—
1740D4—4721no—
1741D4—4721no—
1742D4—4721no—
1743D4—4721no—
1744D4—4721no—
1745D4—4721no—
1746D4—2362no—
1747D4—2362no—
1748D4—2362no—
1749D4—2362no—
1750D4—2362no—
1751D4—2362no—
1752D4—2362no—
1753D4—2362no—
1754D4—2362no—
1755D4—2362no—
1756D4—2362no—
1757D4—2362no—
1758D4—2362no—
1759D4—2362no—
1760D4—2362no—
1761D4—2362no—
1762D4—2362no—
1763D4—2362no—
1764C2×C4—21no—
1765C2×C4—21no—
1766C2×C4—21no—
1767C2×C4—21no—
1768C2×C4—21no—
1769C2×C4—21no—
1770C2×C4—21no—
1771C2×C4—21no—
1772C2×C4—21no—
1773C2×C4—42no—
1774C2×C4—42no—
1775C2×C4—594no—
1776C2×C4—591no—
1777C2×C4—591no—
1778C2×C4—591no—
1779C2×C4—591no—
1780C2×C4—591no—
1781C2×C4—591no—
1782C2×C4—591no—
1783C2×C4—1182no—
1784C2×C4—1182no—
1785C2×C4—1181no—
1786C2×C4—1181no—
1787C2×C4—1181no—
1788C2×C4—1181no—
1789C2×C4—1181no—
1790C2×C4—4721no—
1791C2×C4—4721no—
1792C2×C4—2361no—
1793C2×C4—2362no—
1794C2×C4—2362no—
1795C2×C4—2362no—
1796C2×C4—2362no—
1797C2×C4—2362no—
1798C2×C4—2362no—
1799C2×C4—2362no—
1800C2×C4—2362no—
1801C2×C4—2362no—
1802C2×C4—2362no—
1803C2×C4—2361no—
1804C2×C4—2361no—
1805C2×C4—2362no—
1806C2×C4C2×D4×D5911yescharacteristic
1807C2×C4C2×D4×D5911yescharacteristic
1808C2×C4C2×D4×D5911yescharacteristic
1809C2×C4C2×D4×D5911yescharacteristic
1810C2×C4C24×D5911yescharacteristic
1811C8—21no—
1812C8—21no—
1813C8—21no—
1814C8—21no—
1815C8—1181no—
1816C8—1181no—
1817C8—1181no—
1818C8—1181no—
1819C22—21no—
1820C22—21no—
1821C22—21no—
1822C22—21no—
1823C22—21no—
1824C22—41no—
1825C22—41no—
1826C22—41no—
1827C22—41no—
1828C22—41no—
1829C22—41no—
1830C22—41no—
1831C22—41no—
1832C22—41no—
1833C22—162no—
1834C22—162no—
1835C22—1181no—
1836C22—1182no—
1837C22—1181no—
1838C22—1181no—
1839C22—9442no—
1840C22—9442no—
1841C22—9442no—
1842C22—9442no—
1843C22—4724no—
1844C22—2361no—
1845C22—2361no—
1846C22—2361no—
1847C22—2361no—
1848C22—2361no—
1849C22—2361no—
1850C22—2361no—
1851C22—2361no—
1852C22—2361no—
1853C22—2361no—
1854C22—2361no—
1855C22—2361no—
1856C22—2361no—
1857C22—2361no—
1858C22AGL(1,ℤ/8)×D5912yes—
1859C22C22×D4×D5911yescharacteristic
1860C4—21no—
1861C4—21no—
1862C4—21no—
1863C4—21no—
1864C4—41no—
1865C4—41no—
1866C4—41no—
1867C4—41no—
1868C4—41no—
1869C4—592no—
1870C4—592no—
1871C4—1181no—
1872C4—1181no—
1873C4—1181no—
1874C4—1181no—
1875C4—1181no—
1876C4—2361no—
1877C4—2361no—
1878C4—2361no—
1879C4H(5,𝔽2)×D5911yescharacteristic
1880C4#1683823811yescharacteristic
1881C2—22no—
1882C2—41no—
1883C2—81no—
1884C2—81no—
1885C2—81no—
1886C2—4721no—
1887C2—4721no—
1888C2—4721no—
1889C2—4721no—
1890C2—2361no—
1891C2—2362no—
1892C2#2143775911yescharacteristic
1893C2C2×AGL(1,ℤ/8)×D5911yescharacteristic
1894C2#2143887411yescharacteristic
subgroupG/H
centerC22C22×D4×D59
commutator, cosocleC2×C4×C59C25
FrattiniC2×C4C24×D59
FittingC59×#3310C2
socleC22×C59C23×D4
hypercenter#3310D59
hypocenterC59#61959
LCSG ▷ C2×C4×C59 ▷ C2×C59 ▷ C59
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3310

Complements

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

NH ≅ G/Ntype
1. #21437868C2semidirect
2. #21437661C2semidirect
3. #21437117C2semidirect
4. #21437111C2semidirect
5. #21436806C2semidirect
6. #21436800C2semidirect
7. #21436336C2semidirect
8. #21436334C2semidirect
9. #21436115C2semidirect
10. #21436113C2semidirect
11. #21436111C2semidirect
12. #21435694C2semidirect
13. #21435693C2semidirect
14. #21435581C2semidirect
15. #21435580C2semidirect
16. #21435573C2semidirect
17. #21435572C2semidirect
18. #21435457C2semidirect
19. #21435453C2semidirect
20. #21435407C2semidirect
21. #21435117C2semidirect
22. #21435115C2semidirect
23. #21435035C2semidirect
24. #21434245C2semidirect
25. #21434242C2semidirect
26. #21434093C2semidirect
27. #21433575C2semidirect
28. #21433573C2semidirect
29. C2×#16837596C2semidirect
30. #21433208C2semidirect
31. C59×#3310C2semidirect
33. C2×#14273755C22semidirect
34. C2×#14273754C22semidirect
35. C2×#14273754C22semidirect
36. C2×#14273753C22semidirect
37. C22×D472C22semidirect
38. C22×#11745669C22semidirect
39. #16838124C22semidirect
40. #16838115C22semidirect
41. #16838108C22semidirect
43. #16838087C22semidirect
47. #16838073C22semidirect
48. #16838072C22semidirect
50. #16838054C22semidirect
51. #16838048C22semidirect
52. #16838043C22semidirect
55. #16838036C22semidirect
58. D4×C22⋊D59C22semidirect
64. #16837954C22semidirect
65. #16837949C22semidirect
67. #16837947C22semidirect
69. C2×#14273723C22semidirect
70. #127×D59C22semidirect
71. #16837938C22semidirect
73. #16837937C22semidirect
76. C4×#11745689C22semidirect
77. #16837870C22semidirect
79. C2×#14273689C22semidirect
81. #16837791C22semidirect
82. #16837789C22semidirect
83. #16837788C22semidirect
84. #16837788C22semidirect
85. #16837773C22semidirect
86. #16837773C22semidirect
87. #16837768C22semidirect
88. #16837765C22semidirect
89. #16837765C22semidirect
90. #16837747C22semidirect
91. #16837747C22semidirect
92. #16837729C22semidirect
93. #16837726C22semidirect
94. #16837725C22semidirect
95. #16837715C22semidirect
96. #16837705C22semidirect
97. #16837704C22semidirect
98. #16837699C22semidirect
99. #16837691C22semidirect
100. #16837690C22semidirect
101. #16837686C22semidirect
102. #16837685C22semidirect
103. #16837681C22semidirect
104. #16837681C22semidirect
105. #16837656C22semidirect
106. #16837655C22semidirect
107. #16837654C22semidirect
108. #16837653C22semidirect
109. #16837650C22semidirect
110. #16837649C22semidirect
111. #16837647C22semidirect
112. #16837633C22semidirect
113. #16837631C22semidirect
114. #16837629C22semidirect
115. #16837620C22semidirect
116. #16837619C22semidirect
117. #16837618C22semidirect
118. #16837617C22semidirect
119. #16837606C22semidirect
120. #16837605C22semidirect
121. #16837602C22semidirect
122. #16837601C22semidirect
123. #16837601C22semidirect
124. #16837601C22semidirect
125. #16837601C22semidirect
126. #16837601C22semidirect
127. #16837600C22semidirect
128. #16837600C22semidirect
129. #16837600C22semidirect
130. #16837598C22semidirect
131. #16837596C22semidirect
132. #16837596C22semidirect
133. #16837596C22semidirect
134. #16837596C22semidirect
135. #16837596C22semidirect
136. #16837596C22semidirect
137. #16837596C22semidirect
138. #16837596C22semidirect
139. #16837596C22semidirect
140. #16837596C22semidirect
141. #16837596C22semidirect
142. #16837596C22semidirect
143. #16837594C22semidirect
144. #16837555C22semidirect
145. #16837554C22semidirect
146. #16837554C22semidirect
147. #16837553C22semidirect
148. #16837552C22semidirect
149. #16837552C22semidirect
150. #16837550C22semidirect
151. #16837549C22semidirect
152. #16837546C22semidirect
153. #16837545C22semidirect
154. #16837538C22semidirect
155. #16837538C22semidirect
156. #16837537C22semidirect
157. #16837537C22semidirect
158. #16837536C22semidirect
159. #16837535C22semidirect
160. #16837531C22semidirect
161. #16837530C22semidirect
162. #16837515C22semidirect
163. #16837513C22semidirect
164. #16837512C22semidirect
165. #16837511C22semidirect
166. #16837501C22semidirect
167. #16837500C22semidirect
168. #16837499C22semidirect
169. #16837484C22semidirect
170. #16837484C22semidirect
171. #16837482C22semidirect
172. #16837482C22semidirect
173. #16837478C22semidirect
174. #16837477C22semidirect
175. #16837474C22semidirect
176. #16837473C22semidirect
177. #16837470C22semidirect
178. #16837457C22semidirect
179. #16837456C22semidirect
180. #16837452C22semidirect
181. #16837425C22semidirect
182. #16837424C22semidirect
183. C2×Dic59⋊C8C22semidirect
184. #16837406C22semidirect
185. #16837405C22semidirect
186. #16837405C22semidirect
187. C2×#14273647C22semidirect
188. C59×#552C22semidirect
190. C59×#490C22semidirect
191. C59×#482C22semidirect
192. C59×#480C22semidirect
193. C59×#478C22semidirect
194. C59×#468C22semidirect
195. C59×#465C22semidirect
196. C59×#460C22semidirect
197. C59×#450C22semidirect
198. C59×#450C22semidirect
199. C59×#440C22semidirect
200. C59×#435C22semidirect
201. C59×#418C22semidirect
202. C2×#102×C59C22semidirect
817. C2×Dic59AGL(1,ℤ/8)semidirect
842. D236H(5,𝔽2)semidirect
945. #3310D59semidirect
992. #552C2×D59semidirect
1039. #490C2×D59semidirect
1045. #482C2×D59semidirect
1047. #480C2×D59semidirect
1051. #478C2×D59semidirect
1065. #468C2×D59semidirect
1069. #465C2×D59semidirect
1085. #460C2×D59semidirect
1106. #450C2×D59semidirect
1107. #450C2×D59semidirect
1127. #440C2×D59semidirect
1137. #435C2×D59semidirect
1147. #418C2×D59semidirect
1149. C2×#102C2×D59semidirect
1150. C59#61959semidirect

Maximal subgroups

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

subgroupindex
#214378682
#214376612
#214371172
#214371112
#214368062
#214368002
#214363362
#214363342
#214361152
#214361132
#214361112
#214356942
#214356932
#214355812
#214355802
#214355732
#214355722
#214354572
#214354532
#214354072
#214351172
#214351152
#214350352
#214342452
#214342422
#214340932
#214335752
#214335732
C2×#168375962
#214332082
C59×#33102
#6195959