Finite Group Databasebeta

← #29485893

Subgroups — #29485893

Order 15104.

1716 conjugacy classes of subgroups.

The subgroup lattice has 1668 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21438742C211yesmaximal, characteristic, complemented
2#21438041C211yesmaximal, characteristic, complemented
3#21437053C211yesmaximal, characteristic, complemented
4#21436968C211yesmaximal, characteristic, complemented
5#21436867C211yesmaximal, characteristic, complemented
6#21436754C211yesmaximal, characteristic, complemented
7#21436684C211yesmaximal, characteristic, complemented
8#21436652C211yesmaximal, characteristic, complemented
9#21436626C211yesmaximal, characteristic, complemented
10#21436537C211yesmaximal, characteristic, complemented
11#21436491C211yesmaximal, characteristic, complemented
12#21436328C211yesmaximal, characteristic, complemented
13#21436310C211yesmaximal, characteristic, complemented
14#21436303C211yesmaximal, characteristic, complemented
15#21436247C211yesmaximal, characteristic, complemented
16#21436231C211yesmaximal, characteristic, complemented
17#21435929C211yesmaximal, characteristic, complemented
18#21435553C211yesmaximal, characteristic, complemented
19#21435511C211yesmaximal, characteristic, complemented
20#21435493C211yesmaximal, characteristic, complemented
21#21435398C211yesmaximal, characteristic, complemented
22#21435352C211yesmaximal, characteristic, complemented
23#21435278C211yesmaximal, characteristic, complemented
24#21434379C211yesmaximal, characteristic, complemented
25#21434275C211yesmaximal, characteristic, complemented
26#21434140C211yesmaximal, characteristic, complemented
27#21433950C211yesmaximal, characteristic, complemented
28#21433925C211yesmaximal, characteristic, complemented
29#21433892C211yesmaximal, characteristic, complemented
30#21433242C211yesmaximal, characteristic, complemented
31C59×#3351C211yesmaximal, characteristic, complemented
32#16838155—21no—
33#16838147—21no—
34#16838137C2211yescharacteristic
35#16838129C2211yescharacteristic, complemented
36#16838122C2211yescharacteristic
37#16838119—21no—
38#16838116C2211yescharacteristic, complemented
39#16838109C2211yescharacteristic, complemented
40#16838108C2211yescharacteristic
41#16838105—21no—
42#16838099C2211yescharacteristic, complemented
43#16838096C2211yescharacteristic
44#16838092—21no—
45#16838091C2211yescharacteristic, complemented
46#16838087C2211yescharacteristic, complemented
47#16838077—21no—
48#16838076—21no—
49#16838053C2211yescharacteristic
50#16838044—21no—
51#16838043C2211yescharacteristic
52#16838043C2211yescharacteristic
53D4×D236C2211yescharacteristic
54#16838033C2211yescharacteristic, complemented
55#16838032C2211yescharacteristic, complemented
56#16838025C2211yescharacteristic
57#16838019—21no—
58#16838019C2211yescharacteristic, complemented
59#16838017—21no—
60#16838017C2211yescharacteristic, complemented
61#16838009—21no—
62#16838008C2211yescharacteristic
63#16838000—21no—
64#16837996—21no—
65#16837991—21no—
66#16837955C2211yescharacteristic, complemented
67#16837938C2211yescharacteristic
68#16837933C2211yescharacteristic, complemented
69#16837932C2211yescharacteristic
70#16837914—21no—
71#123×D59—21no—
72#16837884C2211yescharacteristic
73#16837876C2211yescharacteristic
74C2×#14273689C2211yescharacteristic
75#16837812C2211yescharacteristic, complemented
76#16837809C2211yescharacteristic, complemented
77#16837803C2211yescharacteristic, complemented
78#16837802C2211yescharacteristic, complemented
79#16837799C2211yescharacteristic, complemented
80#16837768C2211yescharacteristic
81#16837763C2211yescharacteristic, complemented
82#16837758C2211yescharacteristic, complemented
83#16837758C2211yescharacteristic, complemented
84#16837758C2211yescharacteristic, complemented
85#16837749C2211yescharacteristic
86#16837743C2211yescharacteristic, complemented
87#16837740C2211yescharacteristic, complemented
88#16837740C2211yescharacteristic, complemented
89#16837737C2211yescharacteristic, complemented
90#16837734C2211yescharacteristic, complemented
91#16837729C2211yescharacteristic, complemented
92#16837728C2211yescharacteristic, complemented
93#16837727C2211yescharacteristic
94#16837727C2211yescharacteristic
95#16837726C2211yescharacteristic
96#16837722C2211yescharacteristic, complemented
97#16837720C2211yescharacteristic
98#16837719C2211yescharacteristic, complemented
99#16837717C2211yescharacteristic, complemented
100#16837711C2211yescharacteristic, complemented
101#16837708C2211yescharacteristic, complemented
102#16837706C2211yescharacteristic, complemented
103#16837705C2211yescharacteristic
104#16837705C2211yescharacteristic
105#16837705C2211yescharacteristic, complemented
106#16837705C2211yescharacteristic, complemented
107#16837701C2211yescharacteristic
108#16837701C2211yescharacteristic
109#16837701C2211yescharacteristic, complemented
110#16837701C2211yescharacteristic, complemented
111#16837701C2211yescharacteristic, complemented
112#16837700C2211yescharacteristic, complemented
113#16837699C2211yescharacteristic
114#16837697C2211yescharacteristic, complemented
115#16837696C2211yescharacteristic, complemented
116#16837695C2211yescharacteristic, complemented
117#16837691C2211yescharacteristic
118#16837691C2211yescharacteristic, complemented
119#16837691C2211yescharacteristic, complemented
120#16837691C2211yescharacteristic, complemented
121#16837685C2211yescharacteristic, complemented
122#16837683C2211yescharacteristic
123#16837681C2211yescharacteristic
124#16837681C2211yescharacteristic
125#16837681C2211yescharacteristic, complemented
126#16837681C2211yescharacteristic, complemented
127#16837680C2211yescharacteristic, complemented
128#16837658C2211yescharacteristic, complemented
129#16837654C2211yescharacteristic, complemented
130#16837653C2211yescharacteristic
131#16837649C2211yescharacteristic, complemented
132#16837648C2211yescharacteristic
133#16837648C2211yescharacteristic
134#16837641C2211yescharacteristic, complemented
135#16837637C2211yescharacteristic, complemented
136#16837636C2211yescharacteristic
137#16837632C2211yescharacteristic, complemented
138#16837627C2211yescharacteristic, complemented
139#16837627C2211yescharacteristic, complemented
140#16837622C2211yescharacteristic, complemented
141#16837619C2211yescharacteristic, complemented
142#16837619C2211yescharacteristic, complemented
143#16837616C2211yescharacteristic
144#16837616C2211yescharacteristic, complemented
145#16837616C2211yescharacteristic, complemented
146#16837603C2211yescharacteristic
147#16837597C2211yescharacteristic
148#16837567C2211yescharacteristic
149#16837555C2211yescharacteristic
150#16837555C2211yescharacteristic
151#16837546C2211yescharacteristic
152#16837535C2211yescharacteristic
153#16837535C2211yescharacteristic
154#16837531C2211yescharacteristic, complemented
155C8×Dic118C2211yescharacteristic, complemented
156#16837512C2211yescharacteristic
157#16837511C2211yescharacteristic
158#16837507C2211yescharacteristic, complemented
159#16837501C2211yescharacteristic, complemented
160C4×#11745660C2211yescharacteristic
161#16837489C2211yescharacteristic
162#16837489C2211yescharacteristic
163#16837489C2211yescharacteristic, complemented
164#16837482C2211yescharacteristic
165#16837482C2211yescharacteristic, complemented
166#16837482C2211yescharacteristic, complemented
167#16837478C2211yescharacteristic, complemented
168#16837477C2211yescharacteristic, complemented
169#16837474C2211yescharacteristic
170#16837471C2211yescharacteristic, complemented
171(C22⋊D59)⋊C8C2211yescharacteristic, complemented
172#16837461C2211yescharacteristic, complemented
173#16837460C2211yescharacteristic, complemented
174#16837452C2211yescharacteristic, complemented
175#16837442C2211yescharacteristic, complemented
176#16837441C2211yescharacteristic, complemented
177#16837438C2211yescharacteristic, complemented
178#107×D59C2211yescharacteristic, complemented
179#16837430C2211yescharacteristic, complemented
180#16837427C2211yescharacteristic, complemented
181#16837425C2211yescharacteristic, complemented
182#16837408C2211yescharacteristic
183#16837408C2211yescharacteristic
184#16837406C2211yescharacteristic
185#16837402C2211yescharacteristic
186#16837397C2211yescharacteristic
187C2×#14273647C2211yescharacteristic
188C59×#553C2211yescharacteristic
189C59×#552C2211yescharacteristic
190C59×#499C2211yescharacteristic, complemented
191C59×#485C2211yescharacteristic, complemented
192C59×#483C2211yescharacteristic, complemented
193C59×#482C2211yescharacteristic, complemented
194C59×#481C2211yescharacteristic, complemented
195C59×#479C2211yescharacteristic, complemented
196C59×#478C2211yescharacteristic, complemented
197C59×#468C2211yescharacteristic, complemented
198C59×#468C2211yescharacteristic, complemented
199C4×SD16×C59C2211yescharacteristic, complemented
200C59×#436C2211yescharacteristic
201C59×#428C2211yescharacteristic, complemented
202C59×#428C2211yescharacteristic, complemented
203C2×#11745689C2311yescharacteristic
204C2×#11745685—21no—
205C22×D236C2311yescharacteristic
206C22×D236C2311yescharacteristic
207C2×D4×D59—21no—
208C22×C4×D59—21no—
209C2×#11745672C2311yescharacteristic
210C2×#11745660C2311yescharacteristic
211C2×#11745660C2311yescharacteristic
212C2×#11745660C2311yescharacteristic
213C2×#11745669C2311yescharacteristic
214C2×#11745669C2311yescharacteristic
215C2×#11745669C2311yescharacteristic
216C2×#11745664C2311yescharacteristic
217C2×#11745659C2311yescharacteristic
218C22×C59⋊C8C2311yescharacteristic
219C2×C8×D59C2311yescharacteristic
220#14273727C2311yescharacteristic
221#14273726—21no—
222#14273726—21no—
223#14273726—21no—
224#14273726C2311yescharacteristic
225#14273726C2311yescharacteristic
226#14273726C2311yescharacteristic
227#14273726C2311yescharacteristic
228#14273724C2311yescharacteristic
229#14273722—21no—
230#14273722—21no—
231#14273722—21no—
232#14273722D411yescharacteristic
233#14273721—21no—
234#14273720—21no—
235#14273720—21no—
236#14273720—21no—
237#14273720—21no—
238#14273720—21no—
239#14273720—21no—
240#14273720—21no—
241#14273720D411yescharacteristic
242#14273719—21no—
243#14273718—21no—
244#14273718C2311yescharacteristic
245#14273718C2311yescharacteristic
246#14273718C2311yescharacteristic
247#14273718C2311yescharacteristic
248#14273718C2311yescharacteristic
249#14273717—21no—
250#14273717—21no—
251#14273717—21no—
252#14273717—21no—
253#14273717D411yescharacteristic
254#14273716C2311yescharacteristic
255#14273716C2311yescharacteristic
256#14273715—21no—
257#14273714—21no—
258#14273714—21no—
259#14273714—21no—
260#14273714C2311yescharacteristic
261#14273713—21no—
262#14273713—21no—
263#14273713—21no—
264#14273713D411yescharacteristic
265#14273712—21no—
266#14273712—21no—
267#14273712—21no—
268#14273712—21no—
269#14273712—21no—
270#14273712—21no—
271#14273712—21no—
272#14273711—21no—
273#14273711D411yescharacteristic
274#14273710—21no—
275#14273710—21no—
276#14273710—21no—
277#14273709—21no—
278#14273709—21no—
279#14273709—21no—
280#14273708—21no—
281#14273708—21no—
282#14273708—21no—
283#14273708D411yescharacteristic
284#14273707—21no—
285#14273707—21no—
286#14273707—21no—
287#14273707C2311yescharacteristic
288#14273706—21no—
289#14273706—21no—
290#14273706—21no—
291#14273706—21no—
292#14273706C2311yescharacteristic
293#14273706C2311yescharacteristic
294#14273705—21no—
295#14273705—21no—
296#14273705—21no—
297#14273705—21no—
298#14273704—21no—
299#14273704—21no—
300#14273704—21no—
301#14273704—21no—
302#14273704—21no—
303#14273704D411yescharacteristic
304#14273702—21no—
305#14273702—21no—
306#14273702—21no—
307#14273702—21no—
308#14273702—21no—
309#14273702C2311yescharacteristic
310#14273702C2311yescharacteristic
311#14273701C2311yescharacteristic
312#14273701C2311yescharacteristic
313#14273700—21no—
314#14273699—21no—
315#14273699D411yescharacteristic
316#14273698—21no—
317#14273698C2311yescharacteristic
318#14273697—21no—
319#14273697—21no—
320#14273697—21no—
321#14273697—21no—
322Q8×Dic59C2311yescharacteristic
323C4×Dic118—21no—
324C4×Dic118—21no—
325C4×Dic118C2311yescharacteristic
326C4×Dic118C2311yescharacteristic
327#14273692—21no—
328#14273692—21no—
329#14273692C2311yescharacteristic
330#14273692C2311yescharacteristic
331C4×D236—21no—
332C4×D236—21no—
333C4×D236—21no—
334C4×D236—21no—
335C4×D236—21no—
336C4×D236C2311yescharacteristic
337D4×Dic59—21no—
338D4×Dic59C2311yescharacteristic
339D4×Dic59C2311yescharacteristic
340#14273689—21no—
341#14273689—21no—
342#14273689—21no—
343#14273689C2311yescharacteristic
344#14273689C2311yescharacteristic
345#14273689C2311yescharacteristic
346#14273689C2311yescharacteristic
347#14273689C2311yescharacteristic
348#14273689C2311yescharacteristic
349#14273689C2311yescharacteristic
350C4×C22⋊D59C2311yescharacteristic
351C4×C22⋊D59C2311yescharacteristic
352(C22⋊D59)⋊C4—21no—
353(C22⋊D59)⋊C4—21no—
354#14273686—21no—
355#14273686C2311yescharacteristic
356#14273686C2311yescharacteristic
357#14273686C2311yescharacteristic
358#14273685—21no—
359#14273685C2311yescharacteristic
360#14273684—21no—
361#14273684—21no—
362#14273684C2311yescharacteristic
363#14273683—21no—
364#14273683—21no—
365C2×C4⋊Dic59—21no—
366C4⋊C4×D59—21no—
367C4⋊C4×D59—21no—
368C4⋊C4×D59C2311yescharacteristic
369C4⋊C4×D59C2311yescharacteristic
370C2×(C2×D59)⋊C4—21no—
371C22⋊C4×D59—21no—
372C22⋊C4×D59—21no—
373C22⋊C4×D59—21no—
374C22⋊C4×D59—21no—
375C2×C4×Dic59C2311yescharacteristic
376#14273661C2311yescharacteristic
377#14273661C2311yescharacteristic
378#14273660C2311yescharacteristic
379#14273660C2311yescharacteristic
380#14273660C2311yescharacteristic
381#14273660C2311yescharacteristic
382#14273660C2311yescharacteristic
383#14273660C2311yescharacteristic
384#14273659C2311yescharacteristic
385#14273658C2311yescharacteristic
386#14273658C2311yescharacteristic
387#14273658C2311yescharacteristic
388#14273658C2311yescharacteristic
389#14273658C2311yescharacteristic
390#14273658C2311yescharacteristic
391C4⋊(C59⋊C8)C2311yescharacteristic
392Dic59⋊C8C2311yescharacteristic
393Dic59⋊C8C2311yescharacteristic
394Dic59⋊C8C2311yescharacteristic
395Dic59⋊C8C2311yescharacteristic
396Dic59⋊C8C2311yescharacteristic
397Dic59⋊C8C2311yescharacteristic
398Dic59⋊C8C2311yescharacteristic
399Dic59⋊C8C2311yescharacteristic
400#14273652C2311yescharacteristic
401#14273651C2311yescharacteristic
402#14273651C2311yescharacteristic
403#14273651C2311yescharacteristic
404#14273650C2311yescharacteristic
405#14273650C2311yescharacteristic
406#14273650C2311yescharacteristic
407#14273649C2311yescharacteristic
408#14273649C2311yescharacteristic
409#14273649C2311yescharacteristic
410#14273649C2311yescharacteristic
411#14273649C2311yescharacteristic
412#14273649C2311yescharacteristic
413#14273649C2311yescharacteristic
414#14273649C2311yescharacteristic
415#14273649C2311yescharacteristic
416#14273648C2311yescharacteristic
417#14273647C2311yescharacteristic
418#14273647C2311yescharacteristic
419#14273647C2311yescharacteristic
420#14273647C2311yescharacteristic
421#14273647C2311yescharacteristic
422#14273647C2311yescharacteristic
423#14273647C2311yescharacteristic
424#14273647C2311yescharacteristic
425#14273647C2311yescharacteristic
426C22⋊(C59⋊C8)C2311yescharacteristic
427C22⋊(C59⋊C8)C2311yescharacteristic
428(C2×D59)⋊C8C2311yescharacteristic
429(C2×D59)⋊C8C2311yescharacteristic
430#14273638C2311yescharacteristic
431#14273637C2311yescharacteristic
432C8×Dic59C2311yescharacteristic
433C8×Dic59C2311yescharacteristic
434C8×Dic59C2311yescharacteristic
435C2×SD16×C59C2311yescharacteristic
436C2×M16×C59C2311yescharacteristic
437C2×M16×C59C2311yescharacteristic
438#126×C59—21no—
439#126×C59—21no—
440#125×C59—21no—
441#125×C59C2311yescharacteristic
442#125×C59C2311yescharacteristic
443#123×C59—21no—
444#123×C59—21no—
445C22⋊Q8×C59C2311yescharacteristic
446C22⋊Q8×C59C2311yescharacteristic
447#121×C59—21no—
448#121×C59C2311yescharacteristic
449#121×C59C2311yescharacteristic
450C4×Q8×C59C2311yescharacteristic
451C4×D4×C59—21no—
452C4×D4×C59C2311yescharacteristic
453C4×D4×C59C2311yescharacteristic
454#117×C59—21no—
455#117×C59C2311yescharacteristic
456#117×C59C2311yescharacteristic
457C2×C4⋊C4×C59C2311yescharacteristic
458C2×C4⋊C4×C59C2311yescharacteristic
459#107×C59C2311yescharacteristic
460#107×C59C2311yescharacteristic
461#107×C59C2311yescharacteristic
462#107×C59C2311yescharacteristic
463#106×C59C2311yescharacteristic
464#106×C59C2311yescharacteristic
465#106×C59C2311yescharacteristic
466#106×C59C2311yescharacteristic
467#106×C59C2311yescharacteristic
468C4⋊C8×C59C2311yescharacteristic
469#103×C59C2311yescharacteristic
470#103×C59C2311yescharacteristic
471#103×C59C2311yescharacteristic
472#102×C59C2311yescharacteristic
473#102×C59C2311yescharacteristic
474#102×C59C2311yescharacteristic
475C22⋊C8×C59C2311yescharacteristic
476C22⋊C8×C59C2311yescharacteristic
477C4×C8×C59C2311yescharacteristic
478C23×D59—21no—
479C23×D59—21no—
480C2×Q8×C59C2411yescharacteristic
481C2×D4×C59—21no—
482C2×D4×C59—21no—
483C2×D4×C59C2×D411yescharacteristic
484C2×D4×C59C2411yescharacteristic
485C22×C4×C59—21no—
486C22×C4×C59—21no—
487C22×C4×C59—21no—
488C22×C4×C59C2411yescharacteristic
489C22×C4×C59C2411yescharacteristic
490C2×C22⋊D59—21no—
491C2×C22⋊D59—21no—
492C2×C22⋊D59—21no—
493C2×C22⋊D59C2×D411yescharacteristic
494C2×C22⋊D59C2×D411yescharacteristic
495C22×Dic59—21no—
496C22×Dic59—21no—
497C22×Dic59C2×D411yescharacteristic
498C22×Dic59C2×D411yescharacteristic
499#11745689—22no—
500#11745689—41no—
501D4×D59—82no—
502#11745685—82no—
503C2×D236—22no—
504C2×D236—22no—
505C2×D236—21no—
506C2×D236—21no—
507C2×D236—21no—
508C2×D236—21no—
509C2×D236—21no—
510C2×D236—21no—
511C2×D236—21no—
512C2×D236—41no—
513C2×D236—41no—
514C2×D236C2411yescharacteristic
515C2×D236C2411yescharacteristic
516C2×D236C2411yescharacteristic
517C2×C4×D59—21no—
518C2×C4×D59—21no—
519C2×C4×D59—21no—
520C2×C4×D59—21no—
521C2×C4×D59—21no—
522C2×C4×D59—21no—
523C2×C4×D59—21no—
524C2×C4×D59—21no—
525C2×C4×D59—21no—
526C2×C4×D59—21no—
527C2×C4×D59—21no—
528C2×C4×D59—82no—
529C2×C4×D59C2411yescharacteristic
530C2×Dic118—21no—
531C2×Dic118—21no—
532C2×Dic118—21no—
533C2×Dic118—21no—
534C2×Dic118—21no—
535C2×Dic118C2×D411yescharacteristic
536C2×Dic118C2411yescharacteristic
537SD16×C59—41no—
538M16×C59—41no—
539M16×C59—41no—
540C2×C8×C59C2411yescharacteristic
541C2×C8×C59C2411yescharacteristic
542C2×C8×C59C2411yescharacteristic
543C2×C8×C59C2411yescharacteristic
544C4⋊C4×C59—21no—
545C4⋊C4×C59—21no—
546C4⋊C4×C59—21no—
547C4⋊C4×C59—21no—
548C4⋊C4×C59—21no—
549C4⋊C4×C59—21no—
550C4⋊C4×C59—21no—
551C4⋊C4×C59—21no—
552C4⋊C4×C59—21no—
553C4⋊C4×C59C2×D411yescharacteristic
554C4⋊C4×C59C2411yescharacteristic
555C4⋊C4×C59C2411yescharacteristic
556C4⋊C4×C59C2411yescharacteristic
557C4⋊C4×C59C2411yescharacteristic
558C4⋊C4×C59C2411yescharacteristic
559C4⋊C4×C59C2411yescharacteristic
560C22⋊C4×C59—21no—
561C22⋊C4×C59—21no—
562C22⋊C4×C59—21no—
563C22⋊C4×C59—21no—
564C22⋊C4×C59—21no—
565C22⋊C4×C59—21no—
566C22⋊C4×C59—21no—
567C22⋊C4×C59C2×D411yescharacteristic
568C22⋊C4×C59C2×D411yescharacteristic
569C42×C59—21no—
570C42×C59—21no—
571C42×C59—21no—
572C42×C59C2411yescharacteristic
573C22⋊Dic59—21no—
574C22⋊Dic59—21no—
575C22⋊Dic59—21no—
576C22⋊Dic59—21no—
577C22⋊Dic59—21no—
578C22⋊Dic59—21no—
579C22⋊Dic59—21no—
580C22⋊Dic59—21no—
581C22⋊Dic59—21no—
582C22⋊Dic59C2×D411yescharacteristic
583C22⋊Dic59C2×D411yescharacteristic
584C22⋊Dic59C2×D411yescharacteristic
585C22⋊Dic59C2×D411yescharacteristic
586#11745672—41no—
587#11745669—22no—
588#11745669—41no—
589#11745669—41no—
590(C2×D59)⋊C4—21no—
591(C2×D59)⋊C4—21no—
592(C2×D59)⋊C4—21no—
593(C2×D59)⋊C4—21no—
594(C2×D59)⋊C4—21no—
595(C2×D59)⋊C4—21no—
596(C2×D59)⋊C4—21no—
597(C2×D59)⋊C4—21no—
598(C2×D59)⋊C4—21no—
599(C2×D59)⋊C4—21no—
600(C2×D59)⋊C4—21no—
601(C2×D59)⋊C4—21no—
602(C2×D59)⋊C4—21no—
603(C2×D59)⋊C4—21no—
604(C2×D59)⋊C4—21no—
605(C2×D59)⋊C4—21no—
606(C2×D59)⋊C4—21no—
607(C2×D59)⋊C4—21no—
608(C2×D59)⋊C4C2×D411yescharacteristic
609(C2×D59)⋊C4C2×D411yescharacteristic
610(C2×D59)⋊C4C2×D411yescharacteristic
611(C2×D59)⋊C4C2×D411yescharacteristic
612C4⋊Dic59—21no—
613C4⋊Dic59—21no—
614C4⋊Dic59—21no—
615C4⋊Dic59—21no—
616C4⋊Dic59—21no—
617C4⋊Dic59—21no—
618C4⋊Dic59—21no—
619C4⋊Dic59—21no—
620C4⋊Dic59C2×D411yescharacteristic
621C4⋊Dic59C2×D411yescharacteristic
622C4⋊Dic59C2×D411yescharacteristic
623C4⋊Dic59C2411yescharacteristic
624C4⋊Dic59C2411yescharacteristic
625C4⋊Dic59C2411yescharacteristic
626C4⋊Dic59C2411yescharacteristic
627Dic59⋊C4—21no—
628Dic59⋊C4—21no—
629Dic59⋊C4—21no—
630Dic59⋊C4—21no—
631Dic59⋊C4—21no—
632Dic59⋊C4—21no—
633Dic59⋊C4—21no—
634Dic59⋊C4—21no—
635Dic59⋊C4—21no—
636Dic59⋊C4—21no—
637Dic59⋊C4—21no—
638Dic59⋊C4—21no—
639Dic59⋊C4—21no—
640Dic59⋊C4—21no—
641Dic59⋊C4—21no—
642Dic59⋊C4—21no—
643Dic59⋊C4C2×D411yescharacteristic
644Dic59⋊C4C2×D411yescharacteristic
645Dic59⋊C4C2×D411yescharacteristic
646Dic59⋊C4C2×D411yescharacteristic
647Dic59⋊C4C2×D411yescharacteristic
648Dic59⋊C4C2×D411yescharacteristic
649C4×Dic59—21no—
650C4×Dic59—21no—
651C4×Dic59—21no—
652C4×Dic59—21no—
653C4×Dic59—21no—
654C4×Dic59—21no—
655C4×Dic59—21no—
656C4×Dic59C2×D411yescharacteristic
657C4×Dic59C2×D411yescharacteristic
658C4×Dic59C2411yescharacteristic
659C4×Dic59C2411yescharacteristic
660C4×Dic59C2411yescharacteristic
661#11745664—41no—
662C2×C59⋊C8—41no—
663C2×C59⋊C8C2411yescharacteristic
664C2×C59⋊C8C2411yescharacteristic
665C2×C59⋊C8C2411yescharacteristic
666C2×C59⋊C8C2411yescharacteristic
667#11745660—22no—
668#11745660—41no—
669#11745660—41no—
670#11745659—41no—
671C8×D59—41no—
672C23×C59—21no—
673C23×C59C22×D411yescharacteristic
674C23×C59C22×D411yescharacteristic
675C22×D59—21no—
676C22×D59—21no—
677C22×D59—21no—
678C22×D59—42no—
679C22×D59—42no—
680C22×D59—42no—
681C22×D59—81no—
682C22×D59—81no—
683C22×D59—81no—
684C22×D59C22×D411yescharacteristic
685Q8×C59—21no—
686Q8×C59—21no—
687D4×C59—21no—
688D4×C59—21no—
689D4×C59—41no—
690D4×C59—81no—
691D4×C59—81no—
692C2×C4×C59—21no—
693C2×C4×C59—21no—
694C2×C4×C59—21no—
695C2×C4×C59—21no—
696C2×C4×C59—21no—
697C2×C4×C59—21no—
698C2×C4×C59—21no—
699C2×C4×C59—21no—
700C2×C4×C59—21no—
701C2×C4×C59—21no—
702C2×C4×C59—21no—
703C2×C4×C59—42no—
704C2×C4×C59—81no—
705C2×C4×C59—81no—
706C2×C4×C59C22×D411yescharacteristic
707C2×C4×C59C22×D411yescharacteristic
708C2×C4×C59C22×D411yescharacteristic
709C2×C4×C59C22×D411yescharacteristic
710C2×C4×C59C2511yescharacteristic
711C22⋊D59—41no—
712C22⋊D59—41no—
713C22⋊D59—42no—
714C22⋊D59—81no—
715C22⋊D59—81no—
716C2×Dic59—21no—
717C2×Dic59—21no—
718C2×Dic59—21no—
719C2×Dic59—21no—
720C2×Dic59—21no—
721C2×Dic59—41no—
722C2×Dic59—41no—
723C2×Dic59—81no—
724C2×Dic59—81no—
725C2×Dic59C22×D411yescharacteristic
726C2×Dic59C22×D411yescharacteristic
727C2×Dic59C22×D411yescharacteristic
728C2×Dic59C22×D411yescharacteristic
729C2×Dic59C22×D411yescharacteristic
730C2×Dic59C22×D411yescharacteristic
731C2×Dic59C22×D411yescharacteristic
732D236—21no—
733D236—21no—
734D236—21no—
735D236—21no—
736D236—21no—
737D236—42no—
738D236—42no—
739D236—42no—
740D236—81no—
741D236—81no—
742D236—81no—
743D236—81no—
744D2362−1+412yes—
745C4×D59—21no—
746C4×D59—21no—
747C4×D59—42no—
748C4×D59—81no—
749C4×D59—81no—
750C4×D59—81no—
751C4×D59—81no—
752C4×D59—81no—
753C4×D59—81no—
754C4×D59—81no—
755C4×D59—81no—
756C4×D59—81no—
757C4×D59—81no—
758Dic118—21no—
759Dic118—21no—
760Dic118—41no—
761Dic118—81no—
762Dic118—81no—
763Dic118—81no—
764Dic118—81no—
765Dic118—81no—
766C8×C59—21no—
767C8×C59—21no—
768C8×C59—21no—
769C8×C59—21no—
770C59⋊C8—21no—
771C59⋊C8—21no—
772C59⋊C8—21no—
773C59⋊C8—21no—
774#62175—591nomaximal, Sylow
775C22×C59—21no—
776C22×C59—21no—
777C22×C59—21no—
778C22×C59—21no—
779C22×C59—21no—
780C22×C59—21no—
781C22×C59—41no—
782C22×C59—41no—
783C22×C59—41no—
784C22×C59C23×D411yescharacteristic
785C2×D59—21no—
786C2×D59—21no—
787C2×D59—21no—
788C2×D59—22no—
789C2×D59—41no—
790C2×D59—41no—
791C2×D59—41no—
792C2×D59—41no—
793C2×D59—41no—
794C2×D59—41no—
795C2×D59—41no—
796C2×D59—41no—
797C2×D59—84no—
798C2×D59—162no—
799C4×C59—21no—
800C4×C59—21no—
801C4×C59—21no—
802C4×C59—21no—
803C4×C59—41no—
804C4×C59—41no—
805C4×C59—41no—
806C4×C59—41no—
807C4×C59—41no—
808C4×C59—41no—
809C4×C59—41no—
810C4×C59C2×2−1+411yescharacteristic
811C4×C59#58511yescharacteristic
812Dic59—21no—
813Dic59—21no—
814Dic59—21no—
815Dic59—21no—
816Dic59—21no—
817Dic59—21no—
818Dic59—21no—
819Dic59—41no—
820Dic59—41no—
821Dic59—41no—
822Dic59—41no—
823Dic59—41no—
824#3565—591no—
825#3513—591no—
826#3389—591no—
827#3381—591no—
828#3371—591no—
829#3361—591no—
830#3354—591no—
831#3351—591no—
832#3351D5911yescharacteristic, complemented
833#3349—591no—
834#3343—591no—
835#3339—591no—
836#3324—591no—
837#3323—591no—
838#3322—591no—
839#3319—591no—
840#3318—591no—
841#3296—591no—
842#3262—591no—
843#3257—591no—
844#3256—591no—
845#3244—591no—
846#3241—591no—
847#3233—591no—
848#3125—591no—
849#3118—591no—
850#3105—591no—
851#3083—591no—
852#3081—591no—
853#3077—591no—
854#2993—591no—
855C2×C59—41no—
856C2×C59—41no—
857C2×C59—81no—
858C2×C59#348911yescharacteristic
859C2×C59#358411yescharacteristic
860C2×C59#358511yescharacteristic
861D59—41no—
862D59—42no—
863D59—81no—
864D59—81no—
865#563—1181no—
866#562—1181no—
867#559—591no—
868#557—591no—
869#556—591no—
870#556—1181no—
871#555—591no—
872#554—591no—
873#554—591no—
874#553—591no—
875#553—591no—
876#553—1181no—
877#553C2×D5911yescharacteristic
878#552—591no—
879#552—591no—
880#552—1181no—
881#552C2×D5911yescharacteristic
882#551—1181no—
883#551—1181no—
884#547—591no—
885#546—591no—
886#546—591no—
887#546—1181no—
888D42—591no—
889#544—591no—
890#544—591no—
891#542—591no—
892#542—591no—
893#542—591no—
894#542—1181no—
895#542—1181no—
896#541—1181no—
897#540—591no—
898#539—1181no—
899#539—1181no—
900#538—1181no—
901#533—591no—
902#529—591no—
903#529—591no—
904#529—591no—
905#525—1181no—
906C2×#123—1181no—
907#520—591no—
908#518—591no—
909C2×C4×D4—591no—
910#501—591no—
911#501—591no—
912#499—591no—
913#499—591no—
914#499C2×D5911yescharacteristic, complemented
915#498—591no—
916#490—591no—
917#489—591no—
918#488—591no—
919#488—591no—
920#488—591no—
921#486—591no—
922#485—591no—
923#485—591no—
924#485—591no—
925#485C2×D5911yescharacteristic, complemented
926#484—591no—
927#483—591no—
928#483C2×D5911yescharacteristic, complemented
929#482—591no—
930#482—591no—
931#482—591no—
932#482—591no—
933#482—591no—
934#482C2×D5911yescharacteristic, complemented
935#481—591no—
936#481—591no—
937#481—591no—
938#481C2×D5911yescharacteristic, complemented
939#480—591no—
940#479—591no—
941#479—591no—
942#479—591no—
943#479C2×D5911yescharacteristic, complemented
944#478—591no—
945#478—591no—
946#478—591no—
947#478—591no—
948#478—591no—
949#478—591no—
950#478—591no—
951#478—591no—
952#478—591no—
953#478—591no—
954#478—591no—
955#478C2×D5911yescharacteristic, complemented
956#477—591no—
957#477—591no—
958#477—591no—
959#476—591no—
960#476—591no—
961#476—591no—
962#476—591no—
963#475—591no—
964#474—591no—
965#474—591no—
966#474—591no—
967#474—591no—
968#474—591no—
969#474—591no—
970#470—591no—
971#469—591no—
972#469—591no—
973#468—591no—
974#468—591no—
975#468—591no—
976#468C2×D5911yescharacteristic, complemented
977#468C2×D5911yescharacteristic, complemented
978#467—591no—
979#466—591no—
980#466—591no—
981#465—591no—
982#464—591no—
983#464—591no—
984#464—591no—
985#463—591no—
986#463—591no—
987#463—591no—
988#463—591no—
989#463—591no—
990#460—591no—
991#459—591no—
992#452—591no—
993#450—591no—
994#450—591no—
995#449—591no—
996#447—591no—
997#447—591no—
998#446—591no—
999C8×Q8—591no—
1000#442—591no—
1001#442—591no—
1002#441—591no—
1003#440—591no—
1004C4×SD16—591no—
1005C4×SD16—591no—
1006C4×SD16—591no—
1007C4×SD16—591no—
1008C4×SD16C2×D5911yescharacteristic, complemented
1009C4×D8—591no—
1010C4×D8—591no—
1011C4×D8—591no—
1012#436—591no—
1013#436—591no—
1014#436C2×D5911yescharacteristic
1015#435—591no—
1016#435—591no—
1017C8×D4—591no—
1018#433—591no—
1019#433—591no—
1020#431—591no—
1021#428—591no—
1022#428—591no—
1023#428C2×D5911yescharacteristic, complemented
1024#428C2×D5911yescharacteristic, complemented
1025#427—591no—
1026C2×#107—591no—
1027#424—591no—
1028#424—591no—
1029#423—591no—
1030#418—591no—
1031#418—591no—
1032#418—591no—
1033#417—591no—
1034#416—591no—
1035C2×#102—591no—
1036C59#6217511yescharacteristic, complemented, Sylow
1037C2×#41—591no—
1038C2×#41—1181no—
1039C22×D4—591no—
1040C22×D4—591no—
1041C22×D4—1181no—
1042C23×C4—1181no—
1043C2×Q16—591no—
1044C2×SD16—591no—
1045C2×SD16—591no—
1046C2×SD16—591no—
1047C2×SD16C22×D5911yescharacteristic
1048C2×D8—591no—
1049C2×D8—591no—
1050C2×D8—591no—
1051C2×M16—591no—
1052C2×M16—591no—
1053C2×M16C22×D5911yescharacteristic
1054C2×M16C22×D5911yescharacteristic
1055C22×C8—591no—
1056C22×C8—591no—
1057C4⋊Q8—591no—
1058C4⋊Q8—591no—
1059C4⋊Q8—591no—
1060C4⋊Q8—591no—
1061C4⋊Q8—591no—
1062C4⋊Q8—1181no—
1063C4⋊Q8—1181no—
1064C4⋊Q8—1181no—
1065#127—591no—
1066#126—21no—
1067#126—21no—
1068#126—591no—
1069#126—591no—
1070#126—1181no—
1071#126—1181no—
1072#126—1181no—
1073#126—1181no—
1074#126—1181no—
1075#126—1181no—
1076#126—1181no—
1077#126—1181no—
1078#126—1181no—
1079#126—1181no—
1080#126—1181no—
1081#125—21no—
1082#125—591no—
1083#125—591no—
1084#125—591no—
1085#125—591no—
1086#125—591no—
1087#125—591no—
1088#125—1181no—
1089#125—1181no—
1090#125—1181no—
1091#125—1181no—
1092#125—1181no—
1093#125—1181no—
1094#125C22×D5911yescharacteristic
1095#125C22×D5911yescharacteristic
1096#124—591no—
1097#124—591no—
1098#124—591no—
1099#124—591no—
1100#124—1181no—
1101#124—1181no—
1102#124—1181no—
1103#124—1181no—
1104#124—1181no—
1105#124—1181no—
1106#124—1181no—
1107#123—21no—
1108#123—21no—
1109#123—591no—
1110#123—591no—
1111#123—1181no—
1112#123—1181no—
1113#123—1181no—
1114#123—1181no—
1115#123—1181no—
1116#123—1181no—
1117#123—1181no—
1118#123—1181no—
1119#123—1181no—
1120#123—1181no—
1121#123—1181no—
1122#123—1181no—
1123#123—1181no—
1124#123—1181no—
1125#123—1181no—
1126#123—1181no—
1127#123—1181no—
1128C22⋊Q8—591no—
1129C22⋊Q8—591no—
1130C22⋊Q8—591no—
1131C22⋊Q8—591no—
1132C22⋊Q8—1181no—
1133C22⋊Q8—1181no—
1134C22⋊Q8—1181no—
1135C22⋊Q8—1181no—
1136C22⋊Q8—1181no—
1137C22⋊Q8—1181no—
1138C22⋊Q8—1181no—
1139C22⋊Q8—1181no—
1140C22⋊Q8—1181no—
1141C22⋊Q8—1181no—
1142C22⋊Q8—1181no—
1143C22⋊Q8—1181no—
1144C22⋊Q8—1181no—
1145C22⋊Q8—1181no—
1146C22⋊Q8—1181no—
1147C22⋊Q8—1181no—
1148C22⋊Q8C22×D5911yescharacteristic
1149C22⋊Q8C22×D5911yescharacteristic
1150#121—21no—
1151#121—591no—
1152#121—591no—
1153#121—591no—
1154#121—591no—
1155#121—591no—
1156#121—591no—
1157#121—1181no—
1158#121—1181no—
1159#121—1181no—
1160#121—1181no—
1161#121—1181no—
1162#121—1181no—
1163#121—1181no—
1164#121—1181no—
1165#121C22×D5911yescharacteristic
1166#121C22×D5911yescharacteristic
1167#120—1181no—
1168#120—1181no—
1169#120—1181no—
1170#120—1181no—
1171C4×Q8—591no—
1172C4×Q8—591no—
1173C4×Q8—591no—
1174C4×Q8—591no—
1175C4×Q8—591no—
1176C4×Q8—1181no—
1177C4×Q8—1181no—
1178C4×Q8—1181no—
1179C4×Q8—1181no—
1180C4×Q8C22×D5911yescharacteristic
1181C4×D4—21no—
1182C4×D4—591no—
1183C4×D4—591no—
1184C4×D4—591no—
1185C4×D4—591no—
1186C4×D4—591no—
1187C4×D4—591no—
1188C4×D4—591no—
1189C4×D4—591no—
1190C4×D4—591no—
1191C4×D4—591no—
1192C4×D4—591no—
1193C4×D4—591no—
1194C4×D4—1181no—
1195C4×D4—1181no—
1196C4×D4—1181no—
1197C4×D4—1181no—
1198C4×D4—1181no—
1199C4×D4—1181no—
1200C4×D4—1181no—
1201C4×D4—1181no—
1202C4×D4—1181no—
1203C4×D4—1181no—
1204C4×D4—1181no—
1205C4×D4C22×D5911yescharacteristic
1206C4×D4C22×D5911yescharacteristic
1207#117—21no—
1208#117—591no—
1209#117—591no—
1210#117—591no—
1211#117—591no—
1212#117—591no—
1213#117—1181no—
1214#117—1181no—
1215#117—1181no—
1216#117—1181no—
1217#117—1181no—
1218#117—1181no—
1219#117C22×D5911yescharacteristic
1220#117C22×D5911yescharacteristic
1221C2×C4⋊C4—591no—
1222C2×C4⋊C4—591no—
1223C2×C4⋊C4—1181no—
1224C2×C4⋊C4—1181no—
1225C2×C4⋊C4—1181no—
1226C2×C4⋊C4C22×D5911yescharacteristic
1227C2×C4⋊C4C22×D5911yescharacteristic
1228C2×C22⋊C4—1181no—
1229C2×C22⋊C4—1181no—
1230C2×C22⋊C4—1181no—
1231C2×C22⋊C4—1181no—
1232C2×C22⋊C4—1181no—
1233C2×C42—591no—
1234#107—591no—
1235#107—591no—
1236#107—591no—
1237#107—591no—
1238#107—591no—
1239#107—591no—
1240#107—591no—
1241#107—591no—
1242#107C22×D5911yescharacteristic
1243#107C22×D5911yescharacteristic
1244#107C22×D5911yescharacteristic
1245#107C22×D5911yescharacteristic
1246#106—591no—
1247#106—591no—
1248#106—591no—
1249#106—591no—
1250#106—591no—
1251#106—591no—
1252#106—591no—
1253#106C22×D5911yescharacteristic
1254#106C22×D5911yescharacteristic
1255#106C22×D5911yescharacteristic
1256#106C22×D5911yescharacteristic
1257#106C22×D5911yescharacteristic
1258C4⋊C8—591no—
1259C4⋊C8—591no—
1260C4⋊C8—591no—
1261C4⋊C8—591no—
1262C4⋊C8—591no—
1263C4⋊C8—591no—
1264C4⋊C8—591no—
1265C4⋊C8—591no—
1266C4⋊C8—591no—
1267C4⋊C8C22×D5911yescharacteristic
1268#103—591no—
1269#103—591no—
1270#103—591no—
1271#103—591no—
1272#103—591no—
1273#103—591no—
1274#103—591no—
1275#103C22×D5911yescharacteristic
1276#103C22×D5911yescharacteristic
1277#103C22×D5911yescharacteristic
1278#102—591no—
1279#102—591no—
1280#102—591no—
1281#102—591no—
1282#102—591no—
1283#102—591no—
1284#102—591no—
1285#102—591no—
1286#102—591no—
1287#102—591no—
1288#102—591no—
1289#102—591no—
1290#102—591no—
1291#102—591no—
1292#102—591no—
1293#102—591no—
1294#102—591no—
1295#102—591no—
1296#102—591no—
1297#102C22×D5911yescharacteristic
1298#102C22×D5911yescharacteristic
1299#102C22×D5911yescharacteristic
1300C22⋊C8—591no—
1301C22⋊C8—591no—
1302C22⋊C8—591no—
1303C22⋊C8—591no—
1304C22⋊C8C22×D5911yescharacteristic
1305C22⋊C8C22×D5911yescharacteristic
1306#97—591no—
1307#97—591no—
1308C4×C8—591no—
1309C4×C8—591no—
1310C4×C8—591no—
1311C4×C8C22×D5911yescharacteristic
1312C24—1181no—
1313C24—1181no—
1314#41—1182no—
1315#41—4722no—
1316#41—2361no—
1317C2×Q8—591no—
1318C2×Q8—591no—
1319C2×Q8—1181no—
1320C2×Q8—1181no—
1321C2×Q8—1181no—
1322C2×Q8—1181no—
1323C2×Q8—1181no—
1324C2×Q8C23×D5911yescharacteristic
1325C2×D4—21no—
1326C2×D4—21no—
1327C2×D4—591no—
1328C2×D4—591no—
1329C2×D4—591no—
1330C2×D4—591no—
1331C2×D4—591no—
1332C2×D4—1182no—
1333C2×D4—1182no—
1334C2×D4—1181no—
1335C2×D4—1181no—
1336C2×D4—1181no—
1337C2×D4—1181no—
1338C2×D4—1181no—
1339C2×D4—1181no—
1340C2×D4—1181no—
1341C2×D4—1181no—
1342C2×D4—1181no—
1343C2×D4—1181no—
1344C2×D4—4722no—
1345C2×D4—2361no—
1346C2×D4—2361no—
1347C2×D4D4×D5911yescharacteristic
1348C2×D4C23×D5911yescharacteristic
1349C22×C4—21no—
1350C22×C4—21no—
1351C22×C4—21no—
1352C22×C4—591no—
1353C22×C4—591no—
1354C22×C4—591no—
1355C22×C4—1181no—
1356C22×C4—1181no—
1357C22×C4—1181no—
1358C22×C4—1181no—
1359C22×C4—1181no—
1360C22×C4—1181no—
1361C22×C4—1181no—
1362C22×C4—1181no—
1363C22×C4—1181no—
1364C22×C4—1181no—
1365C22×C4—1181no—
1366C22×C4—1181no—
1367C22×C4—1181no—
1368C22×C4—4722no—
1369C22×C4C23×D5911yescharacteristic
1370C22×C4C23×D5911yescharacteristic
1371Q16—2361no—
1372SD16—41no—
1373SD16—1182no—
1374SD16—2361no—
1375SD16—2361no—
1376D8—1182no—
1377D8—2361no—
1378D8—2361no—
1379M16—41no—
1380M16—41no—
1381M16—2361no—
1382M16—2361no—
1383C2×C8—591no—
1384C2×C8—591no—
1385C2×C8—591no—
1386C2×C8—591no—
1387C2×C8—2361no—
1388C2×C8—2361no—
1389C2×C8C23×D5911yescharacteristic
1390C2×C8C23×D5911yescharacteristic
1391C2×C8C23×D5911yescharacteristic
1392C2×C8C23×D5911yescharacteristic
1393C4⋊C4—21no—
1394C4⋊C4—21no—
1395C4⋊C4—21no—
1396C4⋊C4—21no—
1397C4⋊C4—21no—
1398C4⋊C4—21no—
1399C4⋊C4—21no—
1400C4⋊C4—21no—
1401C4⋊C4—21no—
1402C4⋊C4—591no—
1403C4⋊C4—591no—
1404C4⋊C4—591no—
1405C4⋊C4—591no—
1406C4⋊C4—591no—
1407C4⋊C4—591no—
1408C4⋊C4—591no—
1409C4⋊C4—591no—
1410C4⋊C4—591no—
1411C4⋊C4—591no—
1412C4⋊C4—591no—
1413C4⋊C4—591no—
1414C4⋊C4—591no—
1415C4⋊C4—1181no—
1416C4⋊C4—1181no—
1417C4⋊C4—1181no—
1418C4⋊C4—1181no—
1419C4⋊C4—1181no—
1420C4⋊C4—1181no—
1421C4⋊C4—1181no—
1422C4⋊C4—1181no—
1423C4⋊C4—1181no—
1424C4⋊C4—1181no—
1425C4⋊C4—1181no—
1426C4⋊C4—1181no—
1427C4⋊C4—1181no—
1428C4⋊C4—1181no—
1429C4⋊C4—1181no—
1430C4⋊C4—1181no—
1431C4⋊C4—1181no—
1432C4⋊C4—1181no—
1433C4⋊C4—1181no—
1434C4⋊C4—1181no—
1435C4⋊C4—1181no—
1436C4⋊C4—1181no—
1437C4⋊C4—1181no—
1438C4⋊C4—1181no—
1439C4⋊C4D4×D5911yescharacteristic
1440C4⋊C4C23×D5911yescharacteristic
1441C4⋊C4C23×D5911yescharacteristic
1442C4⋊C4C23×D5911yescharacteristic
1443C4⋊C4C23×D5911yescharacteristic
1444C4⋊C4C23×D5911yescharacteristic
1445C4⋊C4C23×D5911yescharacteristic
1446C22⋊C4—21no—
1447C22⋊C4—21no—
1448C22⋊C4—21no—
1449C22⋊C4—21no—
1450C22⋊C4—21no—
1451C22⋊C4—21no—
1452C22⋊C4—21no—
1453C22⋊C4—591no—
1454C22⋊C4—591no—
1455C22⋊C4—591no—
1456C22⋊C4—591no—
1457C22⋊C4—591no—
1458C22⋊C4—591no—
1459C22⋊C4—591no—
1460C22⋊C4—591no—
1461C22⋊C4—1181no—
1462C22⋊C4—1181no—
1463C22⋊C4—1181no—
1464C22⋊C4—1181no—
1465C22⋊C4—1181no—
1466C22⋊C4—1181no—
1467C22⋊C4—1181no—
1468C22⋊C4—1181no—
1469C22⋊C4—1181no—
1470C22⋊C4—1181no—
1471C22⋊C4—1181no—
1472C22⋊C4—1181no—
1473C22⋊C4—1181no—
1474C22⋊C4—1181no—
1475C22⋊C4—1181no—
1476C22⋊C4—1181no—
1477C22⋊C4—1181no—
1478C22⋊C4—1181no—
1479C22⋊C4—1181no—
1480C22⋊C4—1181no—
1481C22⋊C4—1181no—
1482C22⋊C4—1181no—
1483C22⋊C4—1181no—
1484C22⋊C4—1181no—
1485C22⋊C4—1181no—
1486C22⋊C4—1181no—
1487C22⋊C4—1181no—
1488C22⋊C4D4×D5911yescharacteristic
1489C22⋊C4D4×D5911yescharacteristic
1490C42—21no—
1491C42—21no—
1492C42—21no—
1493C42—591no—
1494C42—591no—
1495C42—591no—
1496C42—591no—
1497C42—591no—
1498C42—1181no—
1499C42—1181no—
1500C42—1181no—
1501C42—1181no—
1502C42—1181no—
1503C42—1181no—
1504C42—1181no—
1505C42C23×D5911yescharacteristic
1506C23—21no—
1507C23—591no—
1508C23—1181no—
1509C23—1181no—
1510C23—1181no—
1511C23—4721no—
1512C23—4721no—
1513C23—4721no—
1514C23—2362no—
1515C23—2362no—
1516C23—2362no—
1517C23C2×D4×D5911yescharacteristic
1518C23C2×D4×D5911yescharacteristic
1519Q8—21no—
1520Q8—21no—
1521Q8—1181no—
1522Q8—1181no—
1523Q8—4721no—
1524Q8—4721no—
1525Q8—4721no—
1526Q8—4721no—
1527Q8—4721no—
1528Q8—2361no—
1529D4—21no—
1530D4—21no—
1531D4—41no—
1532D4—81no—
1533D4—81no—
1534D4—592no—
1535D4—1181no—
1536D4—1181no—
1537D4—1181no—
1538D4—1181no—
1539D4—1181no—
1540D4—4721no—
1541D4—4721no—
1542D4—4721no—
1543D4—4721no—
1544D4—4721no—
1545D4—4721no—
1546D4—2362no—
1547D4—2362no—
1548D4—2362no—
1549D4—2361no—
1550D4—2361no—
1551D4—2362no—
1552C2×C4—21no—
1553C2×C4—21no—
1554C2×C4—21no—
1555C2×C4—21no—
1556C2×C4—21no—
1557C2×C4—21no—
1558C2×C4—21no—
1559C2×C4—21no—
1560C2×C4—21no—
1561C2×C4—21no—
1562C2×C4—21no—
1563C2×C4—42no—
1564C2×C4—81no—
1565C2×C4—81no—
1566C2×C4—591no—
1567C2×C4—591no—
1568C2×C4—591no—
1569C2×C4—591no—
1570C2×C4—591no—
1571C2×C4—591no—
1572C2×C4—591no—
1573C2×C4—1181no—
1574C2×C4—1181no—
1575C2×C4—1181no—
1576C2×C4—1181no—
1577C2×C4—1181no—
1578C2×C4—1181no—
1579C2×C4—1181no—
1580C2×C4—4721no—
1581C2×C4—4721no—
1582C2×C4—4721no—
1583C2×C4—4721no—
1584C2×C4—4721no—
1585C2×C4—4721no—
1586C2×C4—4721no—
1587C2×C4—4721no—
1588C2×C4—4721no—
1589C2×C4—4721no—
1590C2×C4—4721no—
1591C2×C4—4721no—
1592C2×C4—2362no—
1593C2×C4—2361no—
1594C2×C4—2361no—
1595C2×C4C2×D4×D5911yescharacteristic
1596C2×C4C2×D4×D5911yescharacteristic
1597C2×C4C2×D4×D5911yescharacteristic
1598C2×C4C2×D4×D5911yescharacteristic
1599C2×C4C24×D5911yescharacteristic
1600C8—21no—
1601C8—21no—
1602C8—21no—
1603C8—21no—
1604C8—1181no—
1605C8—1181no—
1606C8—1181no—
1607C8—1181no—
1608C22—21no—
1609C22—21no—
1610C22—21no—
1611C22—21no—
1612C22—21no—
1613C22—21no—
1614C22—41no—
1615C22—41no—
1616C22—41no—
1617C22—1181no—
1618C22—1182no—
1619C22—1181no—
1620C22—1181no—
1621C22—9442no—
1622C22—4724no—
1623C22—2361no—
1624C22—2361no—
1625C22—2361no—
1626C22—2361no—
1627C22—2361no—
1628C22—2361no—
1629C22—2361no—
1630C22—2361no—
1631C22C22×D4×D5911yescharacteristic
1632C4—21no—
1633C4—21no—
1634C4—21no—
1635C4—21no—
1636C4—41no—
1637C4—41no—
1638C4—41no—
1639C4—41no—
1640C4—41no—
1641C4—41no—
1642C4—41no—
1643C4—1181no—
1644C4—1181no—
1645C4—1181no—
1646C4—1181no—
1647C4—1181no—
1648C4—1181no—
1649C4—1181no—
1650C4—2361no—
1651C4—2361no—
1652C4—2361no—
1653C4—2361no—
1654C4—2361no—
1655C42−1+4×D5911yescharacteristic
1656C4#1683823811yescharacteristic
1657C2—41no—
1658C2—41no—
1659C2—81no—
1660C2—4721no—
1661C2—4721no—
1662C2—2361no—
1663C2—2362no—
1664C2#2143777011yescharacteristic
1665C2#2143886811yescharacteristic
1666C2#2143887311yescharacteristic
subgroupG/H
centerC22C22×D4×D59
commutator, cosocleC2×C4×C59C25
FrattiniC2×C4C24×D59
FittingC59×#3351C2
socleC22×C59C23×D4
hypercenter#3351D59
hypocenterC59#62175
LCSG ▷ C2×C4×C59 ▷ C2×C59 ▷ C59
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3351

Complements

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

NH ≅ G/Ntype
1. #21438742C2semidirect
2. #21438041C2semidirect
3. #21437053C2semidirect
4. #21436968C2semidirect
5. #21436867C2semidirect
6. #21436754C2semidirect
7. #21436684C2semidirect
8. #21436652C2semidirect
9. #21436626C2semidirect
10. #21436537C2semidirect
11. #21436491C2semidirect
12. #21436328C2semidirect
13. #21436310C2semidirect
14. #21436303C2semidirect
15. #21436247C2semidirect
16. #21436231C2semidirect
17. #21435929C2semidirect
18. #21435553C2semidirect
19. #21435511C2semidirect
20. #21435493C2semidirect
21. #21435398C2semidirect
22. #21435352C2semidirect
23. #21435278C2semidirect
24. #21434379C2semidirect
25. #21434275C2semidirect
26. #21434140C2semidirect
27. #21433950C2semidirect
28. #21433925C2semidirect
29. #21433892C2semidirect
30. #21433242C2semidirect
31. C59×#3351C2semidirect
35. #16838129C22semidirect
38. #16838116C22semidirect
39. #16838109C22semidirect
42. #16838099C22semidirect
45. #16838091C22semidirect
46. #16838087C22semidirect
54. #16838033C22semidirect
55. #16838032C22semidirect
58. #16838019C22semidirect
60. #16838017C22semidirect
66. #16837955C22semidirect
68. #16837933C22semidirect
75. #16837812C22semidirect
76. #16837809C22semidirect
77. #16837803C22semidirect
78. #16837802C22semidirect
79. #16837799C22semidirect
81. #16837763C22semidirect
82. #16837758C22semidirect
83. #16837758C22semidirect
84. #16837758C22semidirect
86. #16837743C22semidirect
87. #16837740C22semidirect
88. #16837740C22semidirect
89. #16837737C22semidirect
90. #16837734C22semidirect
91. #16837729C22semidirect
92. #16837728C22semidirect
96. #16837722C22semidirect
98. #16837719C22semidirect
99. #16837717C22semidirect
100. #16837711C22semidirect
101. #16837708C22semidirect
102. #16837706C22semidirect
105. #16837705C22semidirect
106. #16837705C22semidirect
109. #16837701C22semidirect
110. #16837701C22semidirect
111. #16837701C22semidirect
112. #16837700C22semidirect
114. #16837697C22semidirect
115. #16837696C22semidirect
116. #16837695C22semidirect
118. #16837691C22semidirect
119. #16837691C22semidirect
120. #16837691C22semidirect
121. #16837685C22semidirect
125. #16837681C22semidirect
126. #16837681C22semidirect
127. #16837680C22semidirect
128. #16837658C22semidirect
129. #16837654C22semidirect
131. #16837649C22semidirect
134. #16837641C22semidirect
135. #16837637C22semidirect
137. #16837632C22semidirect
138. #16837627C22semidirect
139. #16837627C22semidirect
140. #16837622C22semidirect
141. #16837619C22semidirect
142. #16837619C22semidirect
144. #16837616C22semidirect
145. #16837616C22semidirect
154. #16837531C22semidirect
155. C8×Dic118C22semidirect
158. #16837507C22semidirect
159. #16837501C22semidirect
163. #16837489C22semidirect
165. #16837482C22semidirect
166. #16837482C22semidirect
167. #16837478C22semidirect
168. #16837477C22semidirect
170. #16837471C22semidirect
171. (C22⋊D59)⋊C8C22semidirect
172. #16837461C22semidirect
173. #16837460C22semidirect
174. #16837452C22semidirect
175. #16837442C22semidirect
176. #16837441C22semidirect
177. #16837438C22semidirect
178. #107×D59C22semidirect
179. #16837430C22semidirect
180. #16837427C22semidirect
181. #16837425C22semidirect
190. C59×#499C22semidirect
191. C59×#485C22semidirect
192. C59×#483C22semidirect
193. C59×#482C22semidirect
194. C59×#481C22semidirect
195. C59×#479C22semidirect
196. C59×#478C22semidirect
197. C59×#468C22semidirect
198. C59×#468C22semidirect
199. C4×SD16×C59C22semidirect
201. C59×#428C22semidirect
202. C59×#428C22semidirect
832. #3351D59semidirect
914. #499C2×D59semidirect
925. #485C2×D59semidirect
928. #483C2×D59semidirect
934. #482C2×D59semidirect
938. #481C2×D59semidirect
943. #479C2×D59semidirect
955. #478C2×D59semidirect
976. #468C2×D59semidirect
977. #468C2×D59semidirect
1008. C4×SD16C2×D59semidirect
1023. #428C2×D59semidirect
1024. #428C2×D59semidirect
1036. C59#62175semidirect

Maximal subgroups

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

subgroupindex
#214387422
#214380412
#214370532
#214369682
#214368672
#214367542
#214366842
#214366522
#214366262
#214365372
#214364912
#214363282
#214363102
#214363032
#214362472
#214362312
#214359292
#214355532
#214355112
#214354932
#214353982
#214353522
#214352782
#214343792
#214342752
#214341402
#214339502
#214339252
#214338922
#214332422
C59×#33512
#6217559