Finite Group Databasebeta

← #29482489

Subgroups — #29482489

Order 15104.

1860 conjugacy classes of subgroups.

The subgroup lattice has 1790 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21438670C211yesmaximal, characteristic, complemented
2#21438041C211yesmaximal, characteristic, complemented
3#21437163C211yesmaximal, characteristic, complemented
4#21437107C211yesmaximal, characteristic, complemented
5#21436844C211yesmaximal, characteristic, complemented
6#21436748C211yesmaximal, characteristic, complemented
7#21436397C211yesmaximal, characteristic, complemented
8#21436358C211yesmaximal, characteristic, complemented
9#21436347C211yesmaximal, characteristic, complemented
10#21436060C211yesmaximal, characteristic, complemented
11#21435947C211yesmaximal, characteristic, complemented
12#21435800C211yesmaximal, characteristic, complemented
13#21435716C211yesmaximal, characteristic, complemented
14#21435704C211yesmaximal, characteristic, complemented
15#21435700C211yesmaximal, characteristic, complemented
16#21435624C211yesmaximal, characteristic, complemented
17#21435596C211yesmaximal, characteristic, complemented
18#21435541C211yesmaximal, characteristic, complemented
19#21435510C211yesmaximal, characteristic, complemented
20#21435493C211yesmaximal, characteristic, complemented
21#21435209C211yesmaximal, characteristic, complemented
22#21435147C211yesmaximal, characteristic, complemented
23#21435075C211yesmaximal, characteristic, complemented
24#21434335C211yesmaximal, characteristic, complemented
25#21434308C211yesmaximal, characteristic, complemented
26#21434140C211yesmaximal, characteristic, complemented
27#21433632C211yesmaximal, characteristic, complemented
28#21433611C211yesmaximal, characteristic, complemented
29#21433559C211yesmaximal, characteristic, complemented
30#21433238C211yesmaximal, characteristic, complemented
31C59×#3317C211yesmaximal, characteristic, complemented
32C2×#14273755C2211yescharacteristic
33C2×#14273754C2211yescharacteristic
34C2×#14273752C2211yescharacteristic
35C2×#14273752C2211yescharacteristic, complemented
36C2×#14273748C2211yescharacteristic
37C22×#11745660C2211yescharacteristic, complemented
38#16838147—21no—
39#16838139—21no—
40#16838138C2211yescharacteristic, complemented
41#16838137C2211yescharacteristic, complemented
42#16838124C2211yescharacteristic, complemented
43#16838108C2211yescharacteristic, complemented
44#16838105—21no—
45#16838096C2211yescharacteristic
46#16838095—21no—
47#16838081—21no—
48#16838077—21no—
49#16838076—21no—
50#16838061C2211yescharacteristic
51#16838058C2211yescharacteristic, complemented
52#16838053C2211yescharacteristic
53#16838051C2211yescharacteristic, complemented
54#16838049C2211yescharacteristic, complemented
55#16838044—21no—
56#16838043C2211yescharacteristic
57#16838043C2211yescharacteristic
58#16838040C2211yescharacteristic, complemented
59D4×D236C2211yescharacteristic, complemented
60#16838025C2211yescharacteristic, complemented
61#16838010C2211yescharacteristic, complemented
62#16838008C2211yescharacteristic
63#16838006—21no—
64#16838005C2211yescharacteristic, complemented
65#16838000—21no—
66#16837994—21no—
67#16837991—21no—
68#16837989—21no—
69#16837984—21no—
70#16837973C2211yescharacteristic, complemented
71#16837965C2211yescharacteristic, complemented
72#16837948C2211yescharacteristic, complemented
73#16837938C2211yescharacteristic, complemented
74#16837933C2211yescharacteristic, complemented
75#16837932C2211yescharacteristic
76#16837914—21no—
77#123×D59—21no—
78#16837884C2211yescharacteristic
79#16837876C2211yescharacteristic, complemented
80C2×#14273689C2211yescharacteristic, complemented
81#16837795C2211yescharacteristic, complemented
82#16837791C2211yescharacteristic
83#16837787C2211yescharacteristic, complemented
84#16837783C2211yescharacteristic, complemented
85#16837783C2211yescharacteristic, complemented
86#16837778C2211yescharacteristic
87#16837760C2211yescharacteristic, complemented
88#16837759C2211yescharacteristic, complemented
89#16837758C2211yescharacteristic, complemented
90#16837755C2211yescharacteristic, complemented
91#16837751C2211yescharacteristic, complemented
92#16837737C2211yescharacteristic, complemented
93#16837736C2211yescharacteristic, complemented
94#16837734C2211yescharacteristic, complemented
95#16837726C2211yescharacteristic, complemented
96#16837711C2211yescharacteristic, complemented
97#16837708C2211yescharacteristic, complemented
98#16837706C2211yescharacteristic, complemented
99#16837705C2211yescharacteristic, complemented
100#16837701C2211yescharacteristic, complemented
101#16837701C2211yescharacteristic, complemented
102#16837700C2211yescharacteristic, complemented
103#16837691C2211yescharacteristic, complemented
104#16837680C2211yescharacteristic, complemented
105#16837658C2211yescharacteristic, complemented
106#16837653C2211yescharacteristic
107#16837653C2211yescharacteristic, complemented
108#16837651C2211yescharacteristic, complemented
109#16837650C2211yescharacteristic, complemented
110#16837649C2211yescharacteristic, complemented
111#16837648C2211yescharacteristic, complemented
112#16837638C2211yescharacteristic
113#16837634C2211yescharacteristic, complemented
114#16837632C2211yescharacteristic, complemented
115#16837627C2211yescharacteristic, complemented
116#16837624C2211yescharacteristic, complemented
117#16837622C2211yescharacteristic, complemented
118#16837620C2211yescharacteristic
119#16837620C2211yescharacteristic, complemented
120#16837620C2211yescharacteristic, complemented
121#16837619C2211yescharacteristic, complemented
122#16837619C2211yescharacteristic, complemented
123#16837618C2211yescharacteristic
124#16837616C2211yescharacteristic
125#16837616C2211yescharacteristic
126#16837616C2211yescharacteristic, complemented
127#16837616C2211yescharacteristic, complemented
128#16837616C2211yescharacteristic, complemented
129#16837616C2211yescharacteristic, complemented
130#16837616C2211yescharacteristic, complemented
131#16837610C2211yescharacteristic, complemented
132#16837606C2211yescharacteristic, complemented
133#16837606C2211yescharacteristic, complemented
134#16837606C2211yescharacteristic, complemented
135#16837606C2211yescharacteristic, complemented
136#16837606C2211yescharacteristic, complemented
137#16837603C2211yescharacteristic, complemented
138#16837602C2211yescharacteristic, complemented
139#16837600C2211yescharacteristic, complemented
140#16837596C2211yescharacteristic
141#16837596C2211yescharacteristic, complemented
142#16837596C2211yescharacteristic, complemented
143#16837594C2211yescharacteristic
144#16837567C2211yescharacteristic
145#16837563C2211yescharacteristic
146#16837562C2211yescharacteristic, complemented
147#16837557C2211yescharacteristic, complemented
148#16837555C2211yescharacteristic, complemented
149#16837549C2211yescharacteristic
150#16837548C2211yescharacteristic, complemented
151#16837548C2211yescharacteristic, complemented
152#16837547C2211yescharacteristic
153#16837547C2211yescharacteristic, complemented
154#16837543C2211yescharacteristic, complemented
155#16837538C2211yescharacteristic
156#16837537C2211yescharacteristic, complemented
157#16837537C2211yescharacteristic, complemented
158#16837535C2211yescharacteristic
159#16837535C2211yescharacteristic, complemented
160#16837530C2211yescharacteristic, complemented
161#16837526C2211yescharacteristic, complemented
162#16837513C2211yescharacteristic, complemented
163#16837511C2211yescharacteristic, complemented
164#16837504C2211yescharacteristic, complemented
165C4×#11745672C2211yescharacteristic, complemented
166C4×#11745671C2211yescharacteristic, complemented
167#16837489C2211yescharacteristic, complemented
168#16837489C2211yescharacteristic, complemented
169#16837484C2211yescharacteristic
170#16837482C2211yescharacteristic
171#16837482C2211yescharacteristic, complemented
172#16837482C2211yescharacteristic, complemented
173#16837480C2211yescharacteristic, complemented
174#16837478C2211yescharacteristic, complemented
175#16837477C2211yescharacteristic, complemented
176#16837476C2211yescharacteristic, complemented
177C8×C22⋊D59C2211yescharacteristic, complemented
178#16837464C2211yescharacteristic, complemented
179#16837460C2211yescharacteristic, complemented
180#16837452C2211yescharacteristic, complemented
181#16837428C2211yescharacteristic, complemented
182#16837427C2211yescharacteristic, complemented
183#16837425C2211yescharacteristic, complemented
184#16837410C2211yescharacteristic, complemented
185#16837401C2211yescharacteristic, complemented
186#16837400C2211yescharacteristic, complemented
187#102×D59C2211yescharacteristic, complemented
188C59×#552C2211yescharacteristic, complemented
189C59×#550C2211yescharacteristic
190C59×#490C2211yescharacteristic, complemented
191C59×#482C2211yescharacteristic, complemented
192C59×#481C2211yescharacteristic, complemented
193C59×#479C2211yescharacteristic, complemented
194C59×#468C2211yescharacteristic, complemented
195C59×#465C2211yescharacteristic, complemented
196C59×#460C2211yescharacteristic, complemented
197C59×#452C2211yescharacteristic, complemented
198C59×#452C2211yescharacteristic, complemented
199C59×#441C2211yescharacteristic, complemented
200C59×#435C2211yescharacteristic, complemented
201C59×#417C2211yescharacteristic, complemented
202C59×#416C2211yescharacteristic, complemented
203C2×#11745689C2311yescharacteristic
204C2×#11745685—21no—
205C2×#11745685C2311yescharacteristic
206C2×#11745687C2311yescharacteristic
207C22×Dic118C2311yescharacteristic
208C22×D236C2311yescharacteristic
209C22×D236C2311yescharacteristic
210C2×D4×D59—21no—
211C2×D4×D59C2311yescharacteristic
212C22×C4×D59—21no—
213#14273755—42no—
214#14273754—42no—
215#14273752—42no—
216#14273752—42no—
217#14273748—42no—
218C2×#11745672C2311yescharacteristic
219C2×#11745672C2311yescharacteristic
220C2×#11745660—42no—
221C2×#11745660C2311yescharacteristic
222C2×#11745660C2311yescharacteristic
223C2×#11745660C2311yescharacteristic
224C2×#11745660C2311yescharacteristic
225C2×#11745660C2311yescharacteristic
226C2×#11745660C2311yescharacteristic
227C2×#11745671C2311yescharacteristic
228C2×#11745671C2311yescharacteristic
229C2×#11745671C2311yescharacteristic
230C2×#11745671C2311yescharacteristic
231C2×D472C2311yescharacteristic
232C2×D472C2311yescharacteristic
233C2×D472C2311yescharacteristic
234C2×#11745669C2311yescharacteristic
235C2×#11745669C2311yescharacteristic
236C2×#11745669C2311yescharacteristic
237C2×#11745669C2311yescharacteristic
238C2×#11745669C2311yescharacteristic
239C2×#11745669C2311yescharacteristic
240C2×#11745664C2311yescharacteristic
241C2×#11745664C2311yescharacteristic
242C2×#11745659C2311yescharacteristic
243C2×C8×D59C2311yescharacteristic
244#14273726C2311yescharacteristic
245#14273725C2311yescharacteristic
246#14273725C2311yescharacteristic
247#14273724C2311yescharacteristic
248#14273723C2311yescharacteristic
249#14273722—21no—
250#14273722—21no—
251#14273722—21no—
252#14273722—21no—
253#14273722D411yescharacteristic
254#14273721—21no—
255#14273721—21no—
256#14273721—21no—
257#14273720—21no—
258#14273720D411yescharacteristic
259#14273719—21no—
260#14273718C2311yescharacteristic
261#14273718C2311yescharacteristic
262#14273717—21no—
263#14273717D411yescharacteristic
264#14273716C2311yescharacteristic
265#14273716C2311yescharacteristic
266#14273716C2311yescharacteristic
267#14273715—21no—
268#14273715C2311yescharacteristic
269#14273714—21no—
270#14273714C2311yescharacteristic
271#14273714C2311yescharacteristic
272#14273714C2311yescharacteristic
273#14273713—21no—
274#14273713—21no—
275#14273713—21no—
276#14273713D411yescharacteristic
277#14273712—21no—
278#14273712—21no—
279#14273712—21no—
280#14273712—21no—
281#14273712—21no—
282#14273712—21no—
283#14273712—21no—
284#14273711—21no—
285#14273711—21no—
286#14273711D411yescharacteristic
287#14273710—21no—
288#14273710—21no—
289#14273710—21no—
290#14273709—21no—
291#14273709—21no—
292#14273709—21no—
293#14273709—21no—
294#14273708—21no—
295#14273708—21no—
296#14273708—21no—
297#14273708—21no—
298#14273708—21no—
299#14273708—21no—
300#14273708D411yescharacteristic
301#14273707—21no—
302#14273707—21no—
303#14273707C2311yescharacteristic
304#14273706—21no—
305#14273706—21no—
306#14273706C2311yescharacteristic
307#14273705—21no—
308#14273705—21no—
309#14273705—21no—
310#14273705—21no—
311#14273705—21no—
312#14273704—21no—
313#14273704D411yescharacteristic
314#14273703C2311yescharacteristic
315#14273702—21no—
316#14273702—21no—
317#14273702—21no—
318#14273702—21no—
319#14273702—21no—
320#14273702C2311yescharacteristic
321#14273702C2311yescharacteristic
322#14273701C2311yescharacteristic
323#14273701C2311yescharacteristic
324#14273701C2311yescharacteristic
325#14273700—21no—
326#14273699—21no—
327#14273699—21no—
328#14273699—21no—
329#14273699—21no—
330#14273699—21no—
331#14273699—21no—
332#14273699—21no—
333#14273699—21no—
334#14273699—21no—
335#14273699D411yescharacteristic
336#14273698—21no—
337#14273698—21no—
338#14273697—21no—
339#14273697—21no—
340#14273697—21no—
341#14273697—21no—
342#14273695—21no—
343#14273695—21no—
344#14273695—21no—
345#14273695—21no—
346Q8×Dic59C2311yescharacteristic
347C4×Dic118C2311yescharacteristic
348C4×Dic118C2311yescharacteristic
349#14273692C2311yescharacteristic
350C4×D236—21no—
351C4×D236—21no—
352C4×D236—21no—
353C4×D236—21no—
354C4×D236—21no—
355C4×D236C2311yescharacteristic
356D4×Dic59—21no—
357D4×Dic59—21no—
358D4×Dic59—21no—
359D4×Dic59C2311yescharacteristic
360D4×Dic59C2311yescharacteristic
361#14273689—21no—
362#14273689—21no—
363#14273689—21no—
364#14273689C2311yescharacteristic
365#14273689C2311yescharacteristic
366#14273689C2311yescharacteristic
367#14273689C2311yescharacteristic
368#14273689C2311yescharacteristic
369#14273689C2311yescharacteristic
370#14273689C2311yescharacteristic
371#14273689C2311yescharacteristic
372C4×C22⋊D59—21no—
373C4×C22⋊D59—21no—
374C4×C22⋊D59C2311yescharacteristic
375C4×C22⋊D59C2311yescharacteristic
376(C22⋊D59)⋊C4—21no—
377(C22⋊D59)⋊C4—21no—
378#14273686C2311yescharacteristic
379#14273685—21no—
380#14273684—21no—
381#14273684—21no—
382#14273684C2311yescharacteristic
383#14273683—21no—
384C2×Dic59⋊C4—21no—
385C4⋊C4×D59—21no—
386C4⋊C4×D59—21no—
387C4⋊C4×D59C2311yescharacteristic
388C2×(C2×D59)⋊C4—21no—
389C2×(C2×D59)⋊C4—21no—
390C22⋊C4×D59—21no—
391C22⋊C4×D59—21no—
392C22⋊C4×D59—21no—
393C22⋊C4×D59—21no—
394C22⋊C4×D59—21no—
395C2×C4×Dic59C2311yescharacteristic
396#14273661C2311yescharacteristic
397#14273660C2311yescharacteristic
398#14273660C2311yescharacteristic
399#14273658C2311yescharacteristic
400#14273658C2311yescharacteristic
401C4⋊(C59⋊C8)C2311yescharacteristic
402Dic59⋊C8C2311yescharacteristic
403Dic59⋊C8C2311yescharacteristic
404Dic59⋊C8C2311yescharacteristic
405Dic59⋊C8C2311yescharacteristic
406Dic59⋊C8C2311yescharacteristic
407Dic59⋊C8C2311yescharacteristic
408Dic59⋊C8C2311yescharacteristic
409Dic59⋊C8C2311yescharacteristic
410#14273652C2311yescharacteristic
411#14273652C2311yescharacteristic
412#14273651C2311yescharacteristic
413#14273651C2311yescharacteristic
414#14273650C2311yescharacteristic
415#14273650C2311yescharacteristic
416#14273650C2311yescharacteristic
417#14273650C2311yescharacteristic
418#14273650C2311yescharacteristic
419#14273650C2311yescharacteristic
420#14273649C2311yescharacteristic
421#14273649C2311yescharacteristic
422#14273649C2311yescharacteristic
423#14273649C2311yescharacteristic
424#14273648C2311yescharacteristic
425#14273648C2311yescharacteristic
426#14273647C2311yescharacteristic
427#14273647C2311yescharacteristic
428#14273647C2311yescharacteristic
429#14273647C2311yescharacteristic
430#14273647C2311yescharacteristic
431#14273647C2311yescharacteristic
432C22⋊(C59⋊C8)C2311yescharacteristic
433C22⋊(C59⋊C8)C2311yescharacteristic
434(C2×D59)⋊C8C2311yescharacteristic
435(C2×D59)⋊C8C2311yescharacteristic
436#14273637C2311yescharacteristic
437C4×C59⋊C8C2311yescharacteristic
438C8×Dic59C2311yescharacteristic
439C8×Dic59C2311yescharacteristic
440C8×Dic59C2311yescharacteristic
441C2×#41×C59C2311yescharacteristic
442C2×#41×C59C2311yescharacteristic
443C2×Q16×C59C2311yescharacteristic
444C2×SD16×C59C2311yescharacteristic
445C2×SD16×C59C2311yescharacteristic
446C2×M16×C59C2311yescharacteristic
447C22×C8×C59C2311yescharacteristic
448#127×C59—21no—
449#127×C59C2311yescharacteristic
450#126×C59—21no—
451#125×C59—21no—
452#125×C59C2311yescharacteristic
453#123×C59—21no—
454C22⋊Q8×C59C2311yescharacteristic
455C22⋊Q8×C59C2311yescharacteristic
456#121×C59—21no—
457#121×C59—21no—
458#121×C59C2311yescharacteristic
459#121×C59C2311yescharacteristic
460C4×Q8×C59C2311yescharacteristic
461C4×Q8×C59C2311yescharacteristic
462C4×D4×C59—21no—
463C4×D4×C59C2311yescharacteristic
464#117×C59—21no—
465#117×C59C2311yescharacteristic
466C2×C4⋊C4×C59C2311yescharacteristic
467#107×C59C2311yescharacteristic
468#106×C59C2311yescharacteristic
469#106×C59C2311yescharacteristic
470C4⋊C8×C59C2311yescharacteristic
471#103×C59C2311yescharacteristic
472#103×C59C2311yescharacteristic
473#103×C59C2311yescharacteristic
474#103×C59C2311yescharacteristic
475#102×C59C2311yescharacteristic
476#102×C59C2311yescharacteristic
477#102×C59C2311yescharacteristic
478#102×C59C2311yescharacteristic
479#102×C59C2311yescharacteristic
480#102×C59C2311yescharacteristic
481C22⋊C8×C59C2311yescharacteristic
482C22⋊C8×C59C2311yescharacteristic
483#97×C59C2311yescharacteristic
484C23×D59—21no—
485C23×D59—21no—
486C23×D59—21no—
487#41×C59—41no—
488#41×C59—41no—
489#41×C59—41no—
490#41×C59—41no—
491C2×Q8×C59C2411yescharacteristic
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×C59C2×D411yescharacteristic
500C2×D4×C59C2411yescharacteristic
501C2×D4×C59C2411yescharacteristic
502C22×C4×C59—21no—
503C22×C4×C59—21no—
504C22×C4×C59—21no—
505C22×C4×C59C2411yescharacteristic
506C22×C4×C59C2411yescharacteristic
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⋊D59C2×D411yescharacteristic
516C2×C22⋊D59C2×D411yescharacteristic
517C22×Dic59—21no—
518C22×Dic59—21no—
519C22×Dic59—21no—
520C22×Dic59—21no—
521C22×Dic59C2×D411yescharacteristic
522C22×Dic59C2×D411yescharacteristic
523#11745689—22no—
524#11745689—41no—
525#11745687—41no—
526#11745687—41no—
527D4×D59—41no—
528D4×D59—41no—
529D4×D59—82no—
530#11745685—41no—
531#11745685—41no—
532#11745685—82no—
533C2×D236—22no—
534C2×D236—22no—
535C2×D236—21no—
536C2×D236—21no—
537C2×D236—21no—
538C2×D236—21no—
539C2×D236—21no—
540C2×D236—21no—
541C2×D236—21no—
542C2×D236—41no—
543C2×D236—41no—
544C2×D236C2411yescharacteristic
545C2×D236C2411yescharacteristic
546C2×D236C2411yescharacteristic
547C2×D236C2411yescharacteristic
548C2×C4×D59—21no—
549C2×C4×D59—21no—
550C2×C4×D59—21no—
551C2×C4×D59—21no—
552C2×C4×D59—21no—
553C2×C4×D59—21no—
554C2×C4×D59—21no—
555C2×C4×D59—21no—
556C2×C4×D59—21no—
557C2×C4×D59—21no—
558C2×C4×D59—21no—
559C2×C4×D59—21no—
560C2×C4×D59—82no—
561C2×C4×D59C2411yescharacteristic
562C2×Dic118—21no—
563C2×Dic118—21no—
564C2×Dic118—41no—
565C2×Dic118—41no—
566C2×Dic118C2×D411yescharacteristic
567C2×Dic118C2411yescharacteristic
568C2×Dic118C2411yescharacteristic
569Q16×C59—41no—
570SD16×C59—41no—
571SD16×C59—41no—
572M16×C59—41no—
573C2×C8×C59—41no—
574C2×C8×C59C2411yescharacteristic
575C2×C8×C59C2411yescharacteristic
576C2×C8×C59C2411yescharacteristic
577C2×C8×C59C2411yescharacteristic
578C4⋊C4×C59—21no—
579C4⋊C4×C59—21no—
580C4⋊C4×C59—21no—
581C4⋊C4×C59—21no—
582C4⋊C4×C59—21no—
583C4⋊C4×C59—21no—
584C4⋊C4×C59—21no—
585C4⋊C4×C59C2×D411yescharacteristic
586C4⋊C4×C59C2411yescharacteristic
587C4⋊C4×C59C2411yescharacteristic
588C4⋊C4×C59C2411yescharacteristic
589C4⋊C4×C59C2411yescharacteristic
590C22⋊C4×C59—21no—
591C22⋊C4×C59—21no—
592C22⋊C4×C59—21no—
593C22⋊C4×C59—21no—
594C22⋊C4×C59—21no—
595C22⋊C4×C59C2×D411yescharacteristic
596C22⋊C4×C59C2×D411yescharacteristic
597C42×C59—21no—
598C42×C59—21no—
599C42×C59—21no—
600C42×C59C2411yescharacteristic
601C22⋊Dic59—21no—
602C22⋊Dic59—21no—
603C22⋊Dic59—21no—
604C22⋊Dic59—21no—
605C22⋊Dic59—21no—
606C22⋊Dic59—21no—
607C22⋊Dic59—21no—
608C22⋊Dic59—21no—
609C22⋊Dic59—21no—
610C22⋊Dic59C2×D411yescharacteristic
611C22⋊Dic59C2×D411yescharacteristic
612C22⋊Dic59C2×D411yescharacteristic
613C22⋊Dic59C2×D411yescharacteristic
614#11745672—41no—
615#11745672—41no—
616#11745671—22no—
617#11745671—41no—
618#11745671—41no—
619#11745671—41no—
620#11745669—22no—
621#11745669—22no—
622#11745669—41no—
623#11745669—41no—
624#11745669—41no—
625#11745669—41no—
626(C2×D59)⋊C4—21no—
627(C2×D59)⋊C4—21no—
628(C2×D59)⋊C4—21no—
629(C2×D59)⋊C4—21no—
630(C2×D59)⋊C4—21no—
631(C2×D59)⋊C4—21no—
632(C2×D59)⋊C4—21no—
633(C2×D59)⋊C4—21no—
634(C2×D59)⋊C4—21no—
635(C2×D59)⋊C4—21no—
636(C2×D59)⋊C4—21no—
637(C2×D59)⋊C4—21no—
638(C2×D59)⋊C4—21no—
639(C2×D59)⋊C4—21no—
640(C2×D59)⋊C4—21no—
641(C2×D59)⋊C4—21no—
642(C2×D59)⋊C4—21no—
643(C2×D59)⋊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)⋊C4C2×D411yescharacteristic
651(C2×D59)⋊C4C2×D411yescharacteristic
652(C2×D59)⋊C4C2×D411yescharacteristic
653(C2×D59)⋊C4C2×D411yescharacteristic
654C4⋊Dic59—21no—
655C4⋊Dic59—21no—
656C4⋊Dic59—21no—
657C4⋊Dic59—21no—
658C4⋊Dic59C2×D411yescharacteristic
659C4⋊Dic59C2×D411yescharacteristic
660C4⋊Dic59C2×D411yescharacteristic
661C4⋊Dic59C2411yescharacteristic
662C4⋊Dic59C2411yescharacteristic
663Dic59⋊C4—21no—
664Dic59⋊C4—21no—
665Dic59⋊C4—21no—
666Dic59⋊C4—21no—
667Dic59⋊C4—21no—
668Dic59⋊C4—21no—
669Dic59⋊C4—21no—
670Dic59⋊C4—21no—
671Dic59⋊C4—21no—
672Dic59⋊C4—21no—
673Dic59⋊C4—21no—
674Dic59⋊C4—21no—
675Dic59⋊C4C2×D411yescharacteristic
676Dic59⋊C4C2×D411yescharacteristic
677Dic59⋊C4C2×D411yescharacteristic
678Dic59⋊C4C2×D411yescharacteristic
679Dic59⋊C4C2×D411yescharacteristic
680Dic59⋊C4C2×D411yescharacteristic
681C4×Dic59—21no—
682C4×Dic59—21no—
683C4×Dic59—21no—
684C4×Dic59C2×D411yescharacteristic
685C4×Dic59C2×D411yescharacteristic
686C4×Dic59C2411yescharacteristic
687C4×Dic59C2411yescharacteristic
688C4×Dic59C2411yescharacteristic
689#11745664—41no—
690#11745664—41no—
691C2×C59⋊C8C2411yescharacteristic
692C2×C59⋊C8C2411yescharacteristic
693C2×C59⋊C8C2411yescharacteristic
694C2×C59⋊C8C2411yescharacteristic
695D472—22no—
696D472—41no—
697D472—41no—
698#11745660—22no—
699#11745660—22no—
700#11745660—41no—
701#11745660—41no—
702#11745660—41no—
703#11745660—41no—
704#11745659—41no—
705C8×D59—41no—
706C23×C59—21no—
707C23×C59—21no—
708C23×C59C22×D411yescharacteristic
709C23×C59C22×D411yescharacteristic
710C22×D59—21no—
711C22×D59—21no—
712C22×D59—21no—
713C22×D59—21no—
714C22×D59—42no—
715C22×D59—42no—
716C22×D59—42no—
717C22×D59—81no—
718C22×D59—81no—
719C22×D59—81no—
720C22×D59—81no—
721C22×D59—81no—
722C22×D59—81no—
723C22×D59C22×D411yescharacteristic
724Q8×C59—21no—
725Q8×C59—21no—
726Q8×C59—21no—
727Q8×C59—21no—
728D4×C59—21no—
729D4×C59—21no—
730D4×C59—21no—
731D4×C59—21no—
732D4×C59—41no—
733D4×C59—81no—
734D4×C59—81no—
735D4×C59—81no—
736D4×C59—81no—
737D4×C59—81no—
738D4×C59—81no—
739C2×C4×C59—21no—
740C2×C4×C59—21no—
741C2×C4×C59—21no—
742C2×C4×C59—21no—
743C2×C4×C59—21no—
744C2×C4×C59—21no—
745C2×C4×C59—21no—
746C2×C4×C59—21no—
747C2×C4×C59—21no—
748C2×C4×C59—21no—
749C2×C4×C59—42no—
750C2×C4×C59—81no—
751C2×C4×C59—81no—
752C2×C4×C59C22×D411yescharacteristic
753C2×C4×C59C22×D411yescharacteristic
754C2×C4×C59C22×D411yescharacteristic
755C2×C4×C59C22×D411yescharacteristic
756C2×C4×C59C2511yescharacteristic
757C22⋊D59—41no—
758C22⋊D59—41no—
759C22⋊D59—42no—
760C22⋊D59—81no—
761C22⋊D59—81no—
762C22⋊D59—81no—
763C22⋊D59—81no—
764C22⋊D59—81no—
765C22⋊D59—81no—
766C22⋊D59—81no—
767C2×Dic59—21no—
768C2×Dic59—21no—
769C2×Dic59—21no—
770C2×Dic59—21no—
771C2×Dic59—41no—
772C2×Dic59—41no—
773C2×Dic59—81no—
774C2×Dic59—81no—
775C2×Dic59—81no—
776C2×Dic59—81no—
777C2×Dic59C22×D411yescharacteristic
778C2×Dic59C22×D411yescharacteristic
779C2×Dic59C22×D411yescharacteristic
780C2×Dic59C22×D411yescharacteristic
781C2×Dic59C22×D411yescharacteristic
782C2×Dic59C22×D411yescharacteristic
783C2×Dic59C22×D411yescharacteristic
784D236—21no—
785D236—21no—
786D236—21no—
787D236—21no—
788D236—21no—
789D236—21no—
790D236—21no—
791D236—42no—
792D236—42no—
793D236—42no—
794D236—81no—
795D236—81no—
796D236—81no—
797D236—81no—
798D236H(5,𝔽2)12yes—
799C4×D59—21no—
800C4×D59—21no—
801C4×D59—42no—
802C4×D59—81no—
803C4×D59—81no—
804C4×D59—81no—
805C4×D59—81no—
806C4×D59—81no—
807C4×D59—81no—
808C4×D59—81no—
809C4×D59—81no—
810C4×D59—81no—
811C4×D59—81no—
812C4×D59—81no—
813Dic118—21no—
814Dic118—21no—
815Dic118—21no—
816Dic118—21no—
817Dic118—41no—
818Dic118—81no—
819Dic118—81no—
820C8×C59—21no—
821C8×C59—21no—
822C8×C59—21no—
823C8×C59—21no—
824C59⋊C8—21no—
825C59⋊C8—21no—
826C59⋊C8—21no—
827C59⋊C8—21no—
828#62027—591nomaximal, Sylow
829C22×C59—21no—
830C22×C59—21no—
831C22×C59—21no—
832C22×C59—21no—
833C22×C59—21no—
834C22×C59—21no—
835C22×C59—41no—
836C22×C59—41no—
837C22×C59—41no—
838C22×C59—41no—
839C22×C59—41no—
840C22×C59—41no—
841C22×C59C23×D411yescharacteristic
842C2×D59—21no—
843C2×D59—21no—
844C2×D59—21no—
845C2×D59—22no—
846C2×D59—41no—
847C2×D59—41no—
848C2×D59—41no—
849C2×D59—41no—
850C2×D59—41no—
851C2×D59—41no—
852C2×D59—41no—
853C2×D59—41no—
854C2×D59—41no—
855C2×D59—41no—
856C2×D59—41no—
857C2×D59—84no—
858C2×D59—162no—
859C2×D59—162no—
860C4×C59—21no—
861C4×C59—21no—
862C4×C59—21no—
863C4×C59—21no—
864C4×C59—41no—
865C4×C59—41no—
866C4×C59—41no—
867C4×C59—41no—
868C4×C59—41no—
869C4×C59—41no—
870C4×C59C2×H(5,𝔽2)11yescharacteristic
871C4×C59#58511yescharacteristic
872Dic59—21no—
873Dic59—21no—
874Dic59—21no—
875Dic59—21no—
876Dic59—21no—
877Dic59—21no—
878Dic59—21no—
879Dic59—41no—
880Dic59—41no—
881Dic59—41no—
882Dic59—41no—
883#3562—591no—
884#3513—591no—
885#3401—591no—
886#3396—591no—
887#3370—591no—
888#3360—591no—
889#3330—591no—
890#3327—591no—
891#3326—591no—
892#3317D5911yescharacteristic, complemented
893#3306—591no—
894#3297—591no—
895#3282—591no—
896#3274—591no—
897#3273—591no—
898#3273—591no—
899#3267—591no—
900#3265—591no—
901#3260—591no—
902#3257—591no—
903#3256—591no—
904#3225—591no—
905#3220—591no—
906#3212—591no—
907#3122—591no—
908#3120—591no—
909#3105—591no—
910#3045—591no—
911#3042—591no—
912#3036—591no—
913#2993—591no—
914C2×C59—41no—
915C2×C59—41no—
916C2×C59—81no—
917C2×C59—81no—
918C2×C59#348811yescharacteristic
919C2×C59#358411yescharacteristic
920C2×C59#358511yescharacteristic
921D59—41no—
922D59—42no—
923D59—81no—
924D59—81no—
925D59—81no—
926C2×AGL(1,ℤ/8)—591no—
927C2×AGL(1,ℤ/8)—591no—
928C2×AGL(1,ℤ/8)—591no—
929C2×AGL(1,ℤ/8)—591no—
930C2×#135—591no—
931C22×SD16—591no—
932#562—1181no—
933#560—1181no—
934#559—591no—
935#559—591no—
936#556—591no—
937#554—591no—
938#553—591no—
939#553—1181no—
940#553—1181no—
941#552C2×D5911yescharacteristic, complemented
942#551—1181no—
943#551—1181no—
944#551—1181no—
945#550C2×D5911yescharacteristic
946#548—591no—
947#548—591no—
948#547—591no—
949#547—591no—
950#546—591no—
951#546—591no—
952#546—591no—
953#546—591no—
954#546—1181no—
955D42—591no—
956#542—591no—
957#541—591no—
958#540—591no—
959#540—591no—
960#540—1181no—
961#539—1181no—
962#539—1181no—
963#538—1181no—
964#538—1181no—
965#538—1181no—
966#536—591no—
967#535—591no—
968#532—591no—
969#529—591no—
970#529—591no—
971#529—591no—
972#525—1181no—
973C2×#123—1181no—
974#520—591no—
975#518—591no—
976C2×C4×D4—591no—
977#497—591no—
978#496—591no—
979#495—591no—
980#495—591no—
981#495—591no—
982#493—591no—
983#490C2×D5911yescharacteristic, complemented
984#489—591no—
985#488—591no—
986#488—591no—
987#488—591no—
988#487—591no—
989#484—591no—
990#484—591no—
991#483—591no—
992#482—591no—
993#482C2×D5911yescharacteristic, complemented
994#481C2×D5911yescharacteristic, complemented
995#479—591no—
996#479—591no—
997#479—591no—
998#479C2×D5911yescharacteristic, complemented
999#478—591no—
1000#478—591no—
1001#478—591no—
1002#478—591no—
1003#476—591no—
1004#474—591no—
1005#470—591no—
1006#469—591no—
1007#469—591no—
1008#468—591no—
1009#468—591no—
1010#468—591no—
1011#468—591no—
1012#468C2×D5911yescharacteristic, complemented
1013#466—591no—
1014#465—591no—
1015#465—591no—
1016#465C2×D5911yescharacteristic, complemented
1017#464—591no—
1018#464—591no—
1019#464—591no—
1020#463—591no—
1021#463—591no—
1022#463—591no—
1023#463—591no—
1024#463—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#462—591no—
1034#461—591no—
1035#461—591no—
1036#461—591no—
1037#461—591no—
1038#461—591no—
1039#460—591no—
1040#460—591no—
1041#460—591no—
1042#460C2×D5911yescharacteristic, complemented
1043#459—591no—
1044#459—591no—
1045#459—591no—
1046#459—591no—
1047#452—591no—
1048#452—591no—
1049#452—591no—
1050#452C2×D5911yescharacteristic, complemented
1051#452C2×D5911yescharacteristic, complemented
1052#451—591no—
1053#450—591no—
1054#449—591no—
1055#449—591no—
1056#449—591no—
1057#449—591no—
1058#449—591no—
1059#448—591no—
1060#447—591no—
1061#447—591no—
1062#447—591no—
1063#447—591no—
1064#447—591no—
1065#446—591no—
1066C8×Q8—591no—
1067#442—591no—
1068#442—591no—
1069#441C2×D5911yescharacteristic, complemented
1070#440—591no—
1071C4×Q16—591no—
1072C4×SD16—591no—
1073C4×SD16—591no—
1074C4×SD16—591no—
1075C4×D8—591no—
1076C4×D8—591no—
1077C4×D8—591no—
1078C4×D8—591no—
1079#436—591no—
1080#436—591no—
1081#436—591no—
1082#435—591no—
1083#435C2×D5911yescharacteristic, complemented
1084C8×D4—591no—
1085#433—591no—
1086#433—591no—
1087#431—591no—
1088#424—591no—
1089#424—591no—
1090#423—591no—
1091#419—591no—
1092#417—591no—
1093#417—591no—
1094#417C2×D5911yescharacteristic, complemented
1095#416C2×D5911yescharacteristic, complemented
1096C2×#102—591no—
1097C59#6202711yescharacteristic, complemented, Sylow
1098C2×#41—591no—
1099C2×#41—591no—
1100C2×#41—591no—
1101C2×#41—1181no—
1102C2×#41C22×D5911yescharacteristic
1103C2×#41C22×D5911yescharacteristic
1104C22×Q8—591no—
1105C22×D4—591no—
1106C22×D4—591no—
1107C22×D4—591no—
1108C22×D4—1181no—
1109C23×C4—1181no—
1110AGL(1,ℤ/8)—2362no—
1111AGL(1,ℤ/8)—2362no—
1112AGL(1,ℤ/8)—2362no—
1113AGL(1,ℤ/8)—2362no—
1114#135—2362no—
1115C2×Q16—591no—
1116C2×Q16—591no—
1117C2×Q16C22×D5911yescharacteristic
1118C2×SD16—591no—
1119C2×SD16—591no—
1120C2×SD16—591no—
1121C2×SD16—591no—
1122C2×SD16—591no—
1123C2×SD16—591no—
1124C2×SD16—591no—
1125C2×SD16—591no—
1126C2×SD16—591no—
1127C2×SD16—591no—
1128C2×SD16—2362no—
1129C2×SD16C22×D5911yescharacteristic
1130C2×SD16C22×D5911yescharacteristic
1131C2×D8—591no—
1132C2×D8—591no—
1133C2×D8—591no—
1134C2×D8—591no—
1135C2×D8—591no—
1136C2×D8—591no—
1137C2×D8—591no—
1138C2×D8—591no—
1139C2×D8—591no—
1140C2×M16—591no—
1141C2×M16—591no—
1142C2×M16—591no—
1143C2×M16C22×D5911yescharacteristic
1144C22×C8—591no—
1145C22×C8C22×D5911yescharacteristic
1146C4⋊Q8—591no—
1147C4⋊Q8—591no—
1148C4⋊Q8—591no—
1149#127—21no—
1150#127—591no—
1151#127—591no—
1152#127C22×D5911yescharacteristic
1153#126—21no—
1154#126—591no—
1155#126—591no—
1156#126—1181no—
1157#126—1181no—
1158#126—1181no—
1159#126—1181no—
1160#126—1181no—
1161#126—1181no—
1162#126—1181no—
1163#126—1181no—
1164#125—21no—
1165#125—591no—
1166#125—591no—
1167#125—591no—
1168#125—1181no—
1169#125—1181no—
1170#125C22×D5911yescharacteristic
1171#124—591no—
1172#124—591no—
1173#124—591no—
1174#124—591no—
1175#124—591no—
1176#124—591no—
1177#124—591no—
1178#124—591no—
1179#124—1181no—
1180#124—1181no—
1181#124—1181no—
1182#124—1181no—
1183#124—1181no—
1184#123—21no—
1185#123—591no—
1186#123—591no—
1187#123—1181no—
1188#123—1181no—
1189#123—1181no—
1190#123—1181no—
1191#123—1181no—
1192#123—1181no—
1193#123—1181no—
1194#123—1181no—
1195#123—1181no—
1196#123—1181no—
1197#123—1181no—
1198#123—1181no—
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—
1209C22⋊Q8—591no—
1210C22⋊Q8—591no—
1211C22⋊Q8—591no—
1212C22⋊Q8—591no—
1213C22⋊Q8—1181no—
1214C22⋊Q8—1181no—
1215C22⋊Q8—1181no—
1216C22⋊Q8—1181no—
1217C22⋊Q8—1181no—
1218C22⋊Q8—1181no—
1219C22⋊Q8—1181no—
1220C22⋊Q8—1181no—
1221C22⋊Q8—1181no—
1222C22⋊Q8—1181no—
1223C22⋊Q8C22×D5911yescharacteristic
1224C22⋊Q8C22×D5911yescharacteristic
1225#121—21no—
1226#121—21no—
1227#121—591no—
1228#121—591no—
1229#121—591no—
1230#121—591no—
1231#121—591no—
1232#121—591no—
1233#121—1181no—
1234#121—1181no—
1235#121—1181no—
1236#121—1181no—
1237#121—1181no—
1238#121—1181no—
1239#121—1181no—
1240#121—1181no—
1241#121—1181no—
1242#121—1181no—
1243#121—1181no—
1244#121—1181no—
1245#121—1181no—
1246#121—1181no—
1247#121—1181no—
1248#121—1181no—
1249#121—1181no—
1250#121C22×D5911yescharacteristic
1251#121C22×D5911yescharacteristic
1252#120—1181no—
1253#120—1181no—
1254#120—1181no—
1255#120—1181no—
1256#120—1181no—
1257#120—1181no—
1258#120—1181no—
1259#120—1181no—
1260C4×Q8—591no—
1261C4×Q8—591no—
1262C4×Q8—591no—
1263C4×Q8—591no—
1264C4×Q8C22×D5911yescharacteristic
1265C4×Q8C22×D5911yescharacteristic
1266C4×D4—21no—
1267C4×D4—591no—
1268C4×D4—591no—
1269C4×D4—591no—
1270C4×D4—591no—
1271C4×D4—591no—
1272C4×D4—591no—
1273C4×D4—591no—
1274C4×D4—591no—
1275C4×D4—591no—
1276C4×D4—591no—
1277C4×D4—591no—
1278C4×D4—591no—
1279C4×D4—591no—
1280C4×D4—1181no—
1281C4×D4—1181no—
1282C4×D4—1181no—
1283C4×D4—1181no—
1284C4×D4—1181no—
1285C4×D4—1181no—
1286C4×D4—1181no—
1287C4×D4—1181no—
1288C4×D4—1181no—
1289C4×D4—1181no—
1290C4×D4—1181no—
1291C4×D4—1181no—
1292C4×D4—1181no—
1293C4×D4—1181no—
1294C4×D4—1181no—
1295C4×D4C22×D5911yescharacteristic
1296#117—21no—
1297#117—591no—
1298#117—591no—
1299#117—1181no—
1300#117—1181no—
1301#117—1181no—
1302#117—1181no—
1303#117C22×D5911yescharacteristic
1304C2×C4⋊C4—591no—
1305C2×C4⋊C4—1181no—
1306C2×C4⋊C4—1181no—
1307C2×C4⋊C4—1181no—
1308C2×C4⋊C4C22×D5911yescharacteristic
1309C2×C22⋊C4—1181no—
1310C2×C22⋊C4—1181no—
1311C2×C22⋊C4—1181no—
1312C2×C22⋊C4—1181no—
1313C2×C22⋊C4—1181no—
1314C2×C22⋊C4—1181no—
1315C2×C22⋊C4—1181no—
1316C2×C42—591no—
1317#107—591no—
1318#107—591no—
1319#107—591no—
1320#107C22×D5911yescharacteristic
1321#106—591no—
1322#106—591no—
1323#106C22×D5911yescharacteristic
1324#106C22×D5911yescharacteristic
1325C4⋊C8—591no—
1326C4⋊C8—591no—
1327C4⋊C8—591no—
1328C4⋊C8—591no—
1329C4⋊C8—591no—
1330C4⋊C8—591no—
1331C4⋊C8—591no—
1332C4⋊C8—591no—
1333C4⋊C8—591no—
1334C4⋊C8C22×D5911yescharacteristic
1335#103—591no—
1336#103—591no—
1337#103—591no—
1338#103—591no—
1339#103—591no—
1340#103—591no—
1341#103—591no—
1342#103—591no—
1343#103—591no—
1344#103—591no—
1345#103C22×D5911yescharacteristic
1346#103C22×D5911yescharacteristic
1347#103C22×D5911yescharacteristic
1348#103C22×D5911yescharacteristic
1349#102—591no—
1350#102—591no—
1351#102—591no—
1352#102—591no—
1353#102—591no—
1354#102—591no—
1355#102—591no—
1356#102—591no—
1357#102—591no—
1358#102—591no—
1359#102—591no—
1360#102—591no—
1361#102C22×D5911yescharacteristic
1362#102C22×D5911yescharacteristic
1363#102C22×D5911yescharacteristic
1364#102C22×D5911yescharacteristic
1365#102C22×D5911yescharacteristic
1366#102C22×D5911yescharacteristic
1367C22⋊C8—591no—
1368C22⋊C8—591no—
1369C22⋊C8—591no—
1370C22⋊C8—591no—
1371C22⋊C8C22×D5911yescharacteristic
1372C22⋊C8C22×D5911yescharacteristic
1373#97—591no—
1374#97C22×D5911yescharacteristic
1375C4×C8—591no—
1376C4×C8—591no—
1377C4×C8—591no—
1378C4×C8—591no—
1379C24—1181no—
1380C24—1181no—
1381C24—1181no—
1382#41—41no—
1383#41—41no—
1384#41—41no—
1385#41—41no—
1386#41—1182no—
1387#41—4722no—
1388#41—2361no—
1389#41—2361no—
1390#41—2361no—
1391#41—2361no—
1392#41—2361no—
1393C2×Q8—591no—
1394C2×Q8—591no—
1395C2×Q8—591no—
1396C2×Q8—1181no—
1397C2×Q8—1181no—
1398C2×Q8—2361no—
1399C2×Q8—2361no—
1400C2×Q8C23×D5911yescharacteristic
1401C2×Q8C23×D5911yescharacteristic
1402C2×D4—21no—
1403C2×D4—21no—
1404C2×D4—21no—
1405C2×D4—21no—
1406C2×D4—21no—
1407C2×D4—21no—
1408C2×D4—591no—
1409C2×D4—591no—
1410C2×D4—591no—
1411C2×D4—591no—
1412C2×D4—591no—
1413C2×D4—591no—
1414C2×D4—1182no—
1415C2×D4—1182no—
1416C2×D4—1181no—
1417C2×D4—1181no—
1418C2×D4—1181no—
1419C2×D4—1181no—
1420C2×D4—1181no—
1421C2×D4—1181no—
1422C2×D4—1181no—
1423C2×D4—1181no—
1424C2×D4—1181no—
1425C2×D4—1181no—
1426C2×D4—1181no—
1427C2×D4—1181no—
1428C2×D4—1181no—
1429C2×D4—1181no—
1430C2×D4—1181no—
1431C2×D4—4722no—
1432C2×D4—2361no—
1433C2×D4—2361no—
1434C2×D4—2361no—
1435C2×D4—2361no—
1436C2×D4D4×D5911yescharacteristic
1437C2×D4C23×D5911yescharacteristic
1438C2×D4C23×D5911yescharacteristic
1439C22×C4—21no—
1440C22×C4—21no—
1441C22×C4—21no—
1442C22×C4—591no—
1443C22×C4—591no—
1444C22×C4—591no—
1445C22×C4—1181no—
1446C22×C4—1181no—
1447C22×C4—1181no—
1448C22×C4—1181no—
1449C22×C4—1181no—
1450C22×C4—1181no—
1451C22×C4—1181no—
1452C22×C4—1181no—
1453C22×C4—1181no—
1454C22×C4—1181no—
1455C22×C4—1181no—
1456C22×C4—1181no—
1457C22×C4—1181no—
1458C22×C4—1181no—
1459C22×C4—1181no—
1460C22×C4—1181no—
1461C22×C4—4722no—
1462C22×C4C23×D5911yescharacteristic
1463C22×C4C23×D5911yescharacteristic
1464Q16—41no—
1465Q16—2361no—
1466Q16—2361no—
1467SD16—41no—
1468SD16—41no—
1469SD16—1182no—
1470SD16—1182no—
1471SD16—1182no—
1472SD16—2361no—
1473SD16—2361no—
1474SD16—2361no—
1475SD16—2361no—
1476SD16—2361no—
1477SD16—2361no—
1478SD16—2361no—
1479D8—1182no—
1480D8—1182no—
1481D8—1182no—
1482D8—2361no—
1483D8—2361no—
1484D8—2361no—
1485D8—2361no—
1486D8—2361no—
1487D8—2361no—
1488M16—41no—
1489M16—2361no—
1490M16—2361no—
1491M16—2361no—
1492C2×C8—41no—
1493C2×C8—591no—
1494C2×C8—591no—
1495C2×C8—591no—
1496C2×C8—591no—
1497C2×C8—2361no—
1498C2×C8C23×D5911yescharacteristic
1499C2×C8C23×D5911yescharacteristic
1500C2×C8C23×D5911yescharacteristic
1501C2×C8C23×D5911yescharacteristic
1502C4⋊C4—21no—
1503C4⋊C4—21no—
1504C4⋊C4—21no—
1505C4⋊C4—21no—
1506C4⋊C4—21no—
1507C4⋊C4—21no—
1508C4⋊C4—21no—
1509C4⋊C4—591no—
1510C4⋊C4—591no—
1511C4⋊C4—591no—
1512C4⋊C4—591no—
1513C4⋊C4—591no—
1514C4⋊C4—591no—
1515C4⋊C4—591no—
1516C4⋊C4—591no—
1517C4⋊C4—591no—
1518C4⋊C4—591no—
1519C4⋊C4—591no—
1520C4⋊C4—1181no—
1521C4⋊C4—1181no—
1522C4⋊C4—1181no—
1523C4⋊C4—1181no—
1524C4⋊C4—1181no—
1525C4⋊C4—1181no—
1526C4⋊C4—1181no—
1527C4⋊C4—1181no—
1528C4⋊C4—1181no—
1529C4⋊C4—1181no—
1530C4⋊C4—1181no—
1531C4⋊C4—1181no—
1532C4⋊C4—1181no—
1533C4⋊C4—1181no—
1534C4⋊C4—1181no—
1535C4⋊C4—1181no—
1536C4⋊C4D4×D5911yescharacteristic
1537C4⋊C4C23×D5911yescharacteristic
1538C4⋊C4C23×D5911yescharacteristic
1539C4⋊C4C23×D5911yescharacteristic
1540C4⋊C4C23×D5911yescharacteristic
1541C22⋊C4—21no—
1542C22⋊C4—21no—
1543C22⋊C4—21no—
1544C22⋊C4—21no—
1545C22⋊C4—21no—
1546C22⋊C4—591no—
1547C22⋊C4—591no—
1548C22⋊C4—591no—
1549C22⋊C4—591no—
1550C22⋊C4—591no—
1551C22⋊C4—591no—
1552C22⋊C4—591no—
1553C22⋊C4—591no—
1554C22⋊C4—1181no—
1555C22⋊C4—1181no—
1556C22⋊C4—1181no—
1557C22⋊C4—1181no—
1558C22⋊C4—1181no—
1559C22⋊C4—1181no—
1560C22⋊C4—1181no—
1561C22⋊C4—1181no—
1562C22⋊C4—1181no—
1563C22⋊C4—1181no—
1564C22⋊C4—1181no—
1565C22⋊C4—1181no—
1566C22⋊C4—1181no—
1567C22⋊C4—1181no—
1568C22⋊C4—1181no—
1569C22⋊C4—1181no—
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⋊C4D4×D5911yescharacteristic
1588C22⋊C4D4×D5911yescharacteristic
1589C42—21no—
1590C42—21no—
1591C42—21no—
1592C42—591no—
1593C42—591no—
1594C42—591no—
1595C42—591no—
1596C42—591no—
1597C42—1181no—
1598C42—1181no—
1599C42—1181no—
1600C42C23×D5911yescharacteristic
1601C23—21no—
1602C23—21no—
1603C23—591no—
1604C23—1181no—
1605C23—1181no—
1606C23—1181no—
1607C23—1181no—
1608C23—4721no—
1609C23—4721no—
1610C23—4721no—
1611C23—4721no—
1612C23—4721no—
1613C23—4721no—
1614C23—2362no—
1615C23—2362no—
1616C23—2362no—
1617C23C2×D4×D5911yescharacteristic
1618C23C2×D4×D5911yescharacteristic
1619Q8—21no—
1620Q8—21no—
1621Q8—21no—
1622Q8—21no—
1623Q8—1181no—
1624Q8—1181no—
1625Q8—1181no—
1626Q8—1181no—
1627Q8—4721no—
1628Q8—4721no—
1629Q8—2361no—
1630D4—21no—
1631D4—21no—
1632D4—21no—
1633D4—21no—
1634D4—41no—
1635D4—81no—
1636D4—81no—
1637D4—81no—
1638D4—81no—
1639D4—81no—
1640D4—81no—
1641D4—592no—
1642D4—1181no—
1643D4—1181no—
1644D4—1181no—
1645D4—1181no—
1646D4—1181no—
1647D4—1181no—
1648D4—1181no—
1649D4—4721no—
1650D4—4721no—
1651D4—4721no—
1652D4—4721no—
1653D4—4721no—
1654D4—4721no—
1655D4—4721no—
1656D4—4721no—
1657D4—4721no—
1658D4—4721no—
1659D4—4721no—
1660D4—2362no—
1661D4—2362no—
1662D4—2362no—
1663D4—2361no—
1664D4—2361no—
1665D4—2362no—
1666C2×C4—21no—
1667C2×C4—21no—
1668C2×C4—21no—
1669C2×C4—21no—
1670C2×C4—21no—
1671C2×C4—21no—
1672C2×C4—21no—
1673C2×C4—21no—
1674C2×C4—21no—
1675C2×C4—21no—
1676C2×C4—42no—
1677C2×C4—81no—
1678C2×C4—81no—
1679C2×C4—591no—
1680C2×C4—591no—
1681C2×C4—591no—
1682C2×C4—591no—
1683C2×C4—591no—
1684C2×C4—591no—
1685C2×C4—591no—
1686C2×C4—1181no—
1687C2×C4—1181no—
1688C2×C4—1181no—
1689C2×C4—1181no—
1690C2×C4—1181no—
1691C2×C4—1181no—
1692C2×C4—4721no—
1693C2×C4—4721no—
1694C2×C4—4721no—
1695C2×C4—4721no—
1696C2×C4—4721no—
1697C2×C4—4721no—
1698C2×C4—4721no—
1699C2×C4—4721no—
1700C2×C4—4721no—
1701C2×C4—4721no—
1702C2×C4—4721no—
1703C2×C4—4721no—
1704C2×C4—4721no—
1705C2×C4—4721no—
1706C2×C4—4721no—
1707C2×C4—2362no—
1708C2×C4—2361no—
1709C2×C4—2361no—
1710C2×C4C2×D4×D5911yescharacteristic
1711C2×C4C2×D4×D5911yescharacteristic
1712C2×C4C2×D4×D5911yescharacteristic
1713C2×C4C2×D4×D5911yescharacteristic
1714C2×C4C24×D5911yescharacteristic
1715C8—21no—
1716C8—21no—
1717C8—21no—
1718C8—21no—
1719C8—1181no—
1720C8—1181no—
1721C8—1181no—
1722C8—1181no—
1723C22—21no—
1724C22—21no—
1725C22—21no—
1726C22—21no—
1727C22—21no—
1728C22—21no—
1729C22—41no—
1730C22—41no—
1731C22—41no—
1732C22—41no—
1733C22—41no—
1734C22—41no—
1735C22—1181no—
1736C22—1182no—
1737C22—1181no—
1738C22—1181no—
1739C22—9442no—
1740C22—9442no—
1741C22—4724no—
1742C22—2361no—
1743C22—2361no—
1744C22—2361no—
1745C22—2361no—
1746C22—2361no—
1747C22—2361no—
1748C22—2361no—
1749C22—2361no—
1750C22—2361no—
1751C22—2361no—
1752C22—2361no—
1753C22C22×D4×D5911yescharacteristic
1754C4—21no—
1755C4—21no—
1756C4—21no—
1757C4—21no—
1758C4—41no—
1759C4—41no—
1760C4—41no—
1761C4—41no—
1762C4—41no—
1763C4—41no—
1764C4—1181no—
1765C4—1181no—
1766C4—1181no—
1767C4—1181no—
1768C4—1181no—
1769C4—1181no—
1770C4—1181no—
1771C4—2361no—
1772C4—2361no—
1773C4—2361no—
1774C4—2361no—
1775C4H(5,𝔽2)×D5911yescharacteristic
1776C4#1683823811yescharacteristic
1777C2—41no—
1778C2—41no—
1779C2—81no—
1780C2—81no—
1781C2—4721no—
1782C2—4721no—
1783C2—4721no—
1784C2—2361no—
1785C2—2362no—
1786C2#2143775911yescharacteristic
1787C2#2143886811yescharacteristic
1788C2#2143887311yescharacteristic
subgroupG/H
centerC22C22×D4×D59
commutator, cosocleC2×C4×C59C25
FrattiniC2×C4C24×D59
FittingC59×#3317C2
socleC22×C59C23×D4
hypercenter#3317D59
hypocenterC59#62027
LCSG ▷ C2×C4×C59 ▷ C2×C59 ▷ C59
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3317

Complements

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

NH ≅ G/Ntype
1. #21438670C2semidirect
2. #21438041C2semidirect
3. #21437163C2semidirect
4. #21437107C2semidirect
5. #21436844C2semidirect
6. #21436748C2semidirect
7. #21436397C2semidirect
8. #21436358C2semidirect
9. #21436347C2semidirect
10. #21436060C2semidirect
11. #21435947C2semidirect
12. #21435800C2semidirect
13. #21435716C2semidirect
14. #21435704C2semidirect
15. #21435700C2semidirect
16. #21435624C2semidirect
17. #21435596C2semidirect
18. #21435541C2semidirect
19. #21435510C2semidirect
20. #21435493C2semidirect
21. #21435209C2semidirect
22. #21435147C2semidirect
23. #21435075C2semidirect
24. #21434335C2semidirect
25. #21434308C2semidirect
26. #21434140C2semidirect
27. #21433632C2semidirect
28. #21433611C2semidirect
29. #21433559C2semidirect
30. #21433238C2semidirect
31. C59×#3317C2semidirect
35. C2×#14273752C22semidirect
37. C22×#11745660C22semidirect
40. #16838138C22semidirect
41. #16838137C22semidirect
42. #16838124C22semidirect
43. #16838108C22semidirect
51. #16838058C22semidirect
53. #16838051C22semidirect
54. #16838049C22semidirect
58. #16838040C22semidirect
59. D4×D236C22semidirect
60. #16838025C22semidirect
61. #16838010C22semidirect
64. #16838005C22semidirect
70. #16837973C22semidirect
71. #16837965C22semidirect
72. #16837948C22semidirect
73. #16837938C22semidirect
74. #16837933C22semidirect
79. #16837876C22semidirect
80. C2×#14273689C22semidirect
81. #16837795C22semidirect
83. #16837787C22semidirect
84. #16837783C22semidirect
85. #16837783C22semidirect
87. #16837760C22semidirect
88. #16837759C22semidirect
89. #16837758C22semidirect
90. #16837755C22semidirect
91. #16837751C22semidirect
92. #16837737C22semidirect
93. #16837736C22semidirect
94. #16837734C22semidirect
95. #16837726C22semidirect
96. #16837711C22semidirect
97. #16837708C22semidirect
98. #16837706C22semidirect
99. #16837705C22semidirect
100. #16837701C22semidirect
101. #16837701C22semidirect
102. #16837700C22semidirect
103. #16837691C22semidirect
104. #16837680C22semidirect
105. #16837658C22semidirect
107. #16837653C22semidirect
108. #16837651C22semidirect
109. #16837650C22semidirect
110. #16837649C22semidirect
111. #16837648C22semidirect
113. #16837634C22semidirect
114. #16837632C22semidirect
115. #16837627C22semidirect
116. #16837624C22semidirect
117. #16837622C22semidirect
119. #16837620C22semidirect
120. #16837620C22semidirect
121. #16837619C22semidirect
122. #16837619C22semidirect
126. #16837616C22semidirect
127. #16837616C22semidirect
128. #16837616C22semidirect
129. #16837616C22semidirect
130. #16837616C22semidirect
131. #16837610C22semidirect
132. #16837606C22semidirect
133. #16837606C22semidirect
134. #16837606C22semidirect
135. #16837606C22semidirect
136. #16837606C22semidirect
137. #16837603C22semidirect
138. #16837602C22semidirect
139. #16837600C22semidirect
141. #16837596C22semidirect
142. #16837596C22semidirect
146. #16837562C22semidirect
147. #16837557C22semidirect
148. #16837555C22semidirect
150. #16837548C22semidirect
151. #16837548C22semidirect
153. #16837547C22semidirect
154. #16837543C22semidirect
156. #16837537C22semidirect
157. #16837537C22semidirect
159. #16837535C22semidirect
160. #16837530C22semidirect
161. #16837526C22semidirect
162. #16837513C22semidirect
163. #16837511C22semidirect
164. #16837504C22semidirect
165. C4×#11745672C22semidirect
166. C4×#11745671C22semidirect
167. #16837489C22semidirect
168. #16837489C22semidirect
171. #16837482C22semidirect
172. #16837482C22semidirect
173. #16837480C22semidirect
174. #16837478C22semidirect
175. #16837477C22semidirect
176. #16837476C22semidirect
177. C8×C22⋊D59C22semidirect
178. #16837464C22semidirect
179. #16837460C22semidirect
180. #16837452C22semidirect
181. #16837428C22semidirect
182. #16837427C22semidirect
183. #16837425C22semidirect
184. #16837410C22semidirect
185. #16837401C22semidirect
186. #16837400C22semidirect
187. #102×D59C22semidirect
188. C59×#552C22semidirect
190. C59×#490C22semidirect
191. C59×#482C22semidirect
192. C59×#481C22semidirect
193. C59×#479C22semidirect
194. C59×#468C22semidirect
195. C59×#465C22semidirect
196. C59×#460C22semidirect
197. C59×#452C22semidirect
198. C59×#452C22semidirect
199. C59×#441C22semidirect
200. C59×#435C22semidirect
201. C59×#417C22semidirect
202. C59×#416C22semidirect
892. #3317D59semidirect
941. #552C2×D59semidirect
983. #490C2×D59semidirect
993. #482C2×D59semidirect
994. #481C2×D59semidirect
998. #479C2×D59semidirect
1012. #468C2×D59semidirect
1016. #465C2×D59semidirect
1042. #460C2×D59semidirect
1050. #452C2×D59semidirect
1051. #452C2×D59semidirect
1069. #441C2×D59semidirect
1083. #435C2×D59semidirect
1094. #417C2×D59semidirect
1095. #416C2×D59semidirect
1097. C59#62027semidirect

Maximal subgroups

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

subgroupindex
#214386702
#214380412
#214371632
#214371072
#214368442
#214367482
#214363972
#214363582
#214363472
#214360602
#214359472
#214358002
#214357162
#214357042
#214357002
#214356242
#214355962
#214355412
#214355102
#214354932
#214352092
#214351472
#214350752
#214343352
#214343082
#214341402
#214336322
#214336112
#214335592
#214332382
C59×#33172
#6202759