Finite Group Databasebeta

← #29483999

Subgroups — #29483999

Order 15104.

1842 conjugacy classes of subgroups.

The subgroup lattice has 1772 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21438569C211yesmaximal, characteristic, complemented
2#21438040C211yesmaximal, characteristic, complemented
3#21437186C211yesmaximal, characteristic, complemented
4#21437151C211yesmaximal, characteristic, complemented
5#21436879C211yesmaximal, characteristic, complemented
6#21436851C211yesmaximal, characteristic, complemented
7#21436402C211yesmaximal, characteristic, complemented
8#21436366C211yesmaximal, characteristic, complemented
9#21436269C211yesmaximal, characteristic, complemented
10#21436194C211yesmaximal, characteristic, complemented
11#21436104C211yesmaximal, characteristic, complemented
12#21436089C211yesmaximal, characteristic, complemented
13#21435732C211yesmaximal, characteristic, complemented
14#21435698C211yesmaximal, characteristic, complemented
15#21435641C211yesmaximal, characteristic, complemented
16#21435626C211yesmaximal, characteristic, complemented
17#21435611C211yesmaximal, characteristic, complemented
18#21435596C211yesmaximal, characteristic, complemented
19#21435557C211yesmaximal, characteristic, complemented
20#21435509C211yesmaximal, characteristic, complemented
21#21435470C211yesmaximal, characteristic, complemented
22#21435207C211yesmaximal, characteristic, complemented
23#21435159C211yesmaximal, characteristic, complemented
24#21435135C211yesmaximal, characteristic, complemented
25#21434360C211yesmaximal, characteristic, complemented
26#21434282C211yesmaximal, characteristic, complemented
27#21434196C211yesmaximal, characteristic, complemented
28#21433648C211yesmaximal, characteristic, complemented
29#21433609C211yesmaximal, characteristic, complemented
30#21433562C211yesmaximal, characteristic, complemented
31C59×#2995C211yesmaximal, characteristic, complemented
32C2×#14273760C2211yescharacteristic
33C2×#14273755C2211yescharacteristic
34C2×#14273755C2211yescharacteristic
35C2×#14273755C2211yescharacteristic
36C2×#14273749C2211yescharacteristic
37C22×#11745660C2211yescharacteristic
38#16838149—21no—
39#16838149—21no—
40#16838137C2211yescharacteristic
41#16838137C2211yescharacteristic, complemented
42#16838134—21no—
43#16838131C2211yescharacteristic, complemented
44#16838112C2211yescharacteristic
45#16838108—21no—
46#16838103—21no—
47#16838098C2211yescharacteristic
48#16838092C2211yescharacteristic
49#16838079—21no—
50#16838077—21no—
51#16838073C2211yescharacteristic, complemented
52D4×Dic118C2211yescharacteristic, complemented
53#16838061C2211yescharacteristic
54#16838061C2211yescharacteristic, complemented
55#16838057C2211yescharacteristic
56#16838057C2211yescharacteristic, complemented
57#16838056C2211yescharacteristic
58#16838048C2211yescharacteristic
59#16838048C2211yescharacteristic
60#16838041—21no—
61D4×D236C2211yescharacteristic
62#16838025—21no—
63#16838023C2211yescharacteristic
64#16838023C2211yescharacteristic, complemented
65#16838023C2211yescharacteristic, complemented
66#16838007C2211yescharacteristic
67#16838005—21no—
68#16838000—21no—
69#16837993—21no—
70#16837993—21no—
71#16837986—21no—
72#16837978C2211yescharacteristic, complemented
73#16837978C2211yescharacteristic, complemented
74#16837959C2211yescharacteristic, complemented
75#16837952C2211yescharacteristic, complemented
76#16837936C2211yescharacteristic
77#16837910—21no—
78#123×D59—21no—
79#16837882C2211yescharacteristic
80#16837876C2211yescharacteristic
81C2×C4×D236C2211yescharacteristic
82#16837796C2211yescharacteristic, complemented
83#16837796C2211yescharacteristic, complemented
84#16837791C2211yescharacteristic
85#16837791C2211yescharacteristic, complemented
86#16837786C2211yescharacteristic, complemented
87#16837775C2211yescharacteristic
88#16837771C2211yescharacteristic, complemented
89#16837771C2211yescharacteristic, complemented
90#16837767C2211yescharacteristic, complemented
91#16837762C2211yescharacteristic, complemented
92#16837757C2211yescharacteristic, complemented
93#16837753C2211yescharacteristic, complemented
94#16837744C2211yescharacteristic, complemented
95#16837738C2211yescharacteristic, complemented
96#16837738C2211yescharacteristic, complemented
97#16837738C2211yescharacteristic, complemented
98#16837727C2211yescharacteristic, complemented
99#16837716C2211yescharacteristic, complemented
100#16837710C2211yescharacteristic, complemented
101#16837710C2211yescharacteristic, complemented
102#16837710C2211yescharacteristic, complemented
103#16837703C2211yescharacteristic, complemented
104#16837698C2211yescharacteristic, complemented
105#16837698C2211yescharacteristic, complemented
106#16837693C2211yescharacteristic, complemented
107#16837683C2211yescharacteristic
108#16837683C2211yescharacteristic, complemented
109#16837683C2211yescharacteristic, complemented
110#16837660C2211yescharacteristic, complemented
111#16837660C2211yescharacteristic, complemented
112#16837655C2211yescharacteristic, complemented
113#16837648C2211yescharacteristic
114#16837648C2211yescharacteristic
115#16837648C2211yescharacteristic
116#16837648C2211yescharacteristic, complemented
117#16837648C2211yescharacteristic, complemented
118#16837643C2211yescharacteristic, complemented
119#16837638C2211yescharacteristic
120#16837638C2211yescharacteristic, complemented
121#16837631C2211yescharacteristic, complemented
122#16837625C2211yescharacteristic, complemented
123#16837625C2211yescharacteristic, complemented
124#16837625C2211yescharacteristic, complemented
125#16837625C2211yescharacteristic, complemented
126#16837625C2211yescharacteristic, complemented
127#16837625C2211yescharacteristic, complemented
128#16837618C2211yescharacteristic
129#16837618C2211yescharacteristic
130#16837618C2211yescharacteristic
131#16837618C2211yescharacteristic
132#16837618C2211yescharacteristic, complemented
133#16837618C2211yescharacteristic, complemented
134#16837618C2211yescharacteristic, complemented
135#16837618C2211yescharacteristic, complemented
136#16837618C2211yescharacteristic, complemented
137#16837618C2211yescharacteristic, complemented
138#16837613C2211yescharacteristic, complemented
139#16837613C2211yescharacteristic, complemented
140#16837608C2211yescharacteristic
141#16837608C2211yescharacteristic
142#16837608C2211yescharacteristic
143#16837608C2211yescharacteristic
144#16837608C2211yescharacteristic, complemented
145#16837608C2211yescharacteristic, complemented
146#16837608C2211yescharacteristic, complemented
147#16837608C2211yescharacteristic, complemented
148#16837603C2211yescharacteristic
149#16837598C2211yescharacteristic
150#16837598C2211yescharacteristic
151#16837598C2211yescharacteristic, complemented
152#16837566C2211yescharacteristic
153#16837566C2211yescharacteristic, complemented
154#16837566C2211yescharacteristic, complemented
155#16837566C2211yescharacteristic, complemented
156#16837560C2211yescharacteristic, complemented
157#16837555C2211yescharacteristic
158#16837555C2211yescharacteristic
159#16837555C2211yescharacteristic
160#16837549C2211yescharacteristic
161#16837549C2211yescharacteristic
162#16837549C2211yescharacteristic
163#16837549C2211yescharacteristic
164#16837549C2211yescharacteristic, complemented
165#16837549C2211yescharacteristic, complemented
166#16837543C2211yescharacteristic
167#16837543C2211yescharacteristic, complemented
168#16837543C2211yescharacteristic, complemented
169#16837538C2211yescharacteristic
170#16837515C2211yescharacteristic
171#16837504C2211yescharacteristic
172#16837504C2211yescharacteristic
173#16837504C2211yescharacteristic
174#16837504C2211yescharacteristic, complemented
175#16837504C2211yescharacteristic, complemented
176#16837504C2211yescharacteristic, complemented
177#16837504C2211yescharacteristic, complemented
178C4×Dic236C2211yescharacteristic, complemented
179C4×#11745660C2211yescharacteristic
180C4×D472C2211yescharacteristic
181C4×D472C2211yescharacteristic, complemented
182#16837412C2211yescharacteristic, complemented
183#16837404C2211yescharacteristic, complemented
184#16837404C2211yescharacteristic, complemented
185#16837404C2211yescharacteristic, complemented
186#16837399C2211yescharacteristic, complemented
187C2×#14273652C2211yescharacteristic, complemented
188C59×#529C2211yescharacteristic
189C59×#446C2211yescharacteristic, complemented
190C59×#446C2211yescharacteristic, complemented
191C59×#436C2211yescharacteristic
192C59×#436C2211yescharacteristic, complemented
193C59×#435C2211yescharacteristic
194C59×#435C2211yescharacteristic, complemented
195C59×#435C2211yescharacteristic, complemented
196C59×#435C2211yescharacteristic, complemented
197C59×#433C2211yescharacteristic, complemented
198C59×#433C2211yescharacteristic, complemented
199C59×#432C2211yescharacteristic, complemented
200C59×#424C2211yescharacteristic, complemented
201C59×#424C2211yescharacteristic, complemented
202C59×#423C2211yescharacteristic, complemented
203C2×#11745685C2311yescharacteristic
204C2×#11745685C2311yescharacteristic
205C2×#11745685C2311yescharacteristic
206C2×#11745685C2311yescharacteristic
207C2×#11745685C2311yescharacteristic
208C2×#11745687—21no—
209C22×Dic118C2311yescharacteristic
210C22×Dic118C2311yescharacteristic
211C22×D236C2311yescharacteristic
212C22×D236C2311yescharacteristic
213C2×D4×D59—21no—
214C22×C4×D59—21no—
215#14273760—42no—
216#14273755—42no—
217#14273755—42no—
218#14273755—42no—
219#14273749—42no—
220C2×Dic236C2311yescharacteristic
221C2×Dic236C2311yescharacteristic
222C2×Dic236C2311yescharacteristic
223C2×Dic236C2311yescharacteristic
224C2×#11745660—42no—
225C2×#11745660C2311yescharacteristic
226C2×#11745660C2311yescharacteristic
227C2×#11745660C2311yescharacteristic
228C2×#11745660C2311yescharacteristic
229C2×#11745660C2311yescharacteristic
230C2×#11745660C2311yescharacteristic
231C2×#11745660C2311yescharacteristic
232C2×#11745660C2311yescharacteristic
233C2×#11745660C2311yescharacteristic
234C2×#11745660C2311yescharacteristic
235C2×#11745660C2311yescharacteristic
236C2×#11745660C2311yescharacteristic
237C2×#11745660C2311yescharacteristic
238C2×#11745660C2311yescharacteristic
239C2×D472C2311yescharacteristic
240C2×D472C2311yescharacteristic
241C2×D472C2311yescharacteristic
242C2×D472C2311yescharacteristic
243C2×D472C2311yescharacteristic
244C2×D472C2311yescharacteristic
245#14273727C2311yescharacteristic
246#14273727C2311yescharacteristic
247#14273727C2311yescharacteristic
248#14273727C2311yescharacteristic
249#14273727C2311yescharacteristic
250#14273727C2311yescharacteristic
251#14273726—21no—
252#14273724C2311yescharacteristic
253#14273724C2311yescharacteristic
254#14273723—21no—
255#14273722—21no—
256#14273722—21no—
257#14273722—21no—
258#14273722—21no—
259#14273721—21no—
260#14273720—21no—
261#14273719—21no—
262#14273719C2311yescharacteristic
263#14273719C2311yescharacteristic
264#14273718—21no—
265#14273718—21no—
266#14273718—21no—
267#14273717—21no—
268#14273716—21no—
269#14273716—21no—
270#14273715C2311yescharacteristic
271#14273715C2311yescharacteristic
272#14273715C2311yescharacteristic
273#14273715C2311yescharacteristic
274#14273715C2311yescharacteristic
275#14273715C2311yescharacteristic
276#14273713—21no—
277#14273713—21no—
278#14273713—21no—
279#14273713—21no—
280#14273713—21no—
281#14273712—21no—
282#14273712—21no—
283#14273712—21no—
284#14273712—21no—
285#14273712—21no—
286#14273712—21no—
287#14273712—21no—
288#14273712—21no—
289#14273711—21no—
290#14273711—21no—
291#14273711—21no—
292#14273711—21no—
293#14273711—21no—
294#14273711—21no—
295#14273710—21no—
296#14273709—21no—
297#14273709—21no—
298#14273709—21no—
299#14273709—21no—
300#14273709—21no—
301#14273709—21no—
302#14273709—21no—
303#14273709—21no—
304#14273708—21no—
305#14273707—21no—
306#14273707—21no—
307#14273707—21no—
308#14273707—21no—
309#14273707—21no—
310#14273706—21no—
311#14273706C2311yescharacteristic
312#14273706C2311yescharacteristic
313#14273706C2311yescharacteristic
314#14273706C2311yescharacteristic
315#14273706C2311yescharacteristic
316#14273706C2311yescharacteristic
317#14273705—21no—
318#14273705—21no—
319#14273705—21no—
320#14273705—21no—
321#14273705—21no—
322#14273705—21no—
323#14273705—21no—
324#14273704—21no—
325#14273704—21no—
326#14273703—21no—
327#14273702—21no—
328#14273701—21no—
329#14273701—21no—
330#14273701C2311yescharacteristic
331#14273701C2311yescharacteristic
332#14273701C2311yescharacteristic
333#14273701C2311yescharacteristic
334#14273701C2311yescharacteristic
335#14273701C2311yescharacteristic
336#14273700—21no—
337#14273700—21no—
338#14273700—21no—
339#14273700—21no—
340#14273700—21no—
341#14273700—21no—
342#14273699—21no—
343#14273699—21no—
344#14273699—21no—
345#14273698—21no—
346#14273698—21no—
347#14273697—21no—
348#14273697—21no—
349#14273695—21no—
350#14273695—21no—
351Q8×Dic59—21no—
352C4×Dic118—21no—
353C4×Dic118C2311yescharacteristic
354C4×Dic118C2311yescharacteristic
355C4×Dic118C2311yescharacteristic
356C4×Dic118C2311yescharacteristic
357C4×Dic118C2311yescharacteristic
358C4×Dic118C2311yescharacteristic
359C4×D236—21no—
360C4×D236—21no—
361C4×D236—21no—
362C4×D236—21no—
363C4×D236C2311yescharacteristic
364C4×D236C2311yescharacteristic
365C4×D236C2311yescharacteristic
366C4×D236C2311yescharacteristic
367C4×D236C2311yescharacteristic
368C4×D236C2311yescharacteristic
369C4×D236C2311yescharacteristic
370C4×D236C2311yescharacteristic
371C4×D236C2311yescharacteristic
372C4×D236C2311yescharacteristic
373D4×Dic59—21no—
374#14273689—21no—
375#14273689—21no—
376#14273689—21no—
377#14273689—21no—
378#14273689—21no—
379C4×C22⋊D59—21no—
380(C22⋊D59)⋊C4—21no—
381(C22⋊D59)⋊C4—21no—
382(C22⋊D59)⋊C4—21no—
383(C22⋊D59)⋊C4—21no—
384(C22⋊D59)⋊C4—21no—
385#14273686—21no—
386#14273686C2311yescharacteristic
387#14273685—21no—
388#14273684—21no—
389#14273683—21no—
390C2×C4⋊Dic59C2311yescharacteristic
391C2×C4⋊Dic59C2311yescharacteristic
392C4⋊C4×D59—21no—
393C4⋊C4×D59—21no—
394C4⋊C4×D59—21no—
395C4⋊C4×D59—21no—
396C2×(C2×D59)⋊C4—21no—
397C22⋊C4×D59—21no—
398C22⋊C4×D59—21no—
399C22⋊C4×D59—21no—
400C22⋊C4×D59—21no—
401#14273661C2311yescharacteristic
402#14273661C2311yescharacteristic
403#14273661C2311yescharacteristic
404#14273661C2311yescharacteristic
405#14273661C2311yescharacteristic
406#14273661C2311yescharacteristic
407#14273659C2311yescharacteristic
408#14273659C2311yescharacteristic
409#14273652C2311yescharacteristic
410#14273652C2311yescharacteristic
411#14273652C2311yescharacteristic
412#14273652C2311yescharacteristic
413#14273652C2311yescharacteristic
414#14273652C2311yescharacteristic
415#14273652C2311yescharacteristic
416#14273652C2311yescharacteristic
417#14273652C2311yescharacteristic
418#14273652C2311yescharacteristic
419#14273652C2311yescharacteristic
420#14273652C2311yescharacteristic
421#14273652C2311yescharacteristic
422#14273652C2311yescharacteristic
423#14273652C2311yescharacteristic
424#14273652C2311yescharacteristic
425#14273652C2311yescharacteristic
426#14273652C2311yescharacteristic
427#14273649C2311yescharacteristic
428#14273649C2311yescharacteristic
429#14273649C2311yescharacteristic
430#14273649C2311yescharacteristic
431#14273649C2311yescharacteristic
432#14273649C2311yescharacteristic
433#14273649C2311yescharacteristic
434#14273649C2311yescharacteristic
435#14273649C2311yescharacteristic
436#14273649C2311yescharacteristic
437#14273649C2311yescharacteristic
438#14273649C2311yescharacteristic
439#14273649C2311yescharacteristic
440#14273649C2311yescharacteristic
441C2×M16×C59C2311yescharacteristic
442C2×M16×C59C2311yescharacteristic
443C2×M16×C59C2311yescharacteristic
444C2×M16×C59C2311yescharacteristic
445C22×C8×C59C2311yescharacteristic
446C22×C8×C59C2311yescharacteristic
447#126×C59D411yescharacteristic
448#126×C59D411yescharacteristic
449#125×C59D411yescharacteristic
450#124×C59D411yescharacteristic
451#123×C59D411yescharacteristic
452#123×C59D411yescharacteristic
453C22⋊Q8×C59D411yescharacteristic
454#121×C59D411yescharacteristic
455C4×Q8×C59C2311yescharacteristic
456C4×D4×C59C2311yescharacteristic
457C4×D4×C59C2311yescharacteristic
458C4×D4×C59C2311yescharacteristic
459#117×C59C2311yescharacteristic
460#117×C59C2311yescharacteristic
461C2×C42×C59C2311yescharacteristic
462C4⋊C8×C59C2311yescharacteristic
463C4⋊C8×C59C2311yescharacteristic
464C4⋊C8×C59C2311yescharacteristic
465C4⋊C8×C59C2311yescharacteristic
466C4⋊C8×C59C2311yescharacteristic
467C4⋊C8×C59C2311yescharacteristic
468C4⋊C8×C59C2311yescharacteristic
469C4⋊C8×C59C2311yescharacteristic
470C4⋊C8×C59C2311yescharacteristic
471C4⋊C8×C59C2311yescharacteristic
472C22⋊C8×C59C2311yescharacteristic
473C22⋊C8×C59C2311yescharacteristic
474C22⋊C8×C59C2311yescharacteristic
475C22⋊C8×C59C2311yescharacteristic
476C22⋊C8×C59C2311yescharacteristic
477C22⋊C8×C59C2311yescharacteristic
478#97×C59C2311yescharacteristic
479#97×C59C2311yescharacteristic
480#97×C59C2311yescharacteristic
481#97×C59C2311yescharacteristic
482C4×C8×C59C2311yescharacteristic
483C4×C8×C59C2311yescharacteristic
484C23×D59—21no—
485C23×D59—21no—
486C2×Q8×C59C2×D411yescharacteristic
487C2×D4×C59C2×D411yescharacteristic
488C2×D4×C59C2×D411yescharacteristic
489C2×D4×C59C2×D411yescharacteristic
490C22×C4×C59C2×D411yescharacteristic
491C22×C4×C59C2×D411yescharacteristic
492C22×C4×C59C2411yescharacteristic
493C22×C4×C59C2411yescharacteristic
494C22×C4×C59C2411yescharacteristic
495C2×C22⋊D59—21no—
496C2×C22⋊D59—21no—
497C2×C22⋊D59—21no—
498C2×C22⋊D59—21no—
499C2×C22⋊D59—21no—
500C2×C22⋊D59—21no—
501C2×C22⋊D59—21no—
502C2×C22⋊D59—21no—
503C2×C22⋊D59—21no—
504C2×C22⋊D59—21no—
505C2×C22⋊D59—21no—
506C22×Dic59—21no—
507C22×Dic59—21no—
508C22×Dic59—21no—
509C22×Dic59—21no—
510#11745687—82no—
511D4×D59—82no—
512#11745685—22no—
513#11745685—41no—
514#11745685—41no—
515#11745685—41no—
516#11745685—41no—
517#11745685—41no—
518#11745685—41no—
519#11745685—41no—
520#11745685—41no—
521#11745685—41no—
522C2×D236—22no—
523C2×D236—22no—
524C2×D236—21no—
525C2×D236—21no—
526C2×D236—21no—
527C2×D236—21no—
528C2×D236—21no—
529C2×D236—21no—
530C2×D236—41no—
531C2×D236—41no—
532C2×D236C2411yescharacteristic
533C2×D236C2411yescharacteristic
534C2×D236C2411yescharacteristic
535C2×D236C2411yescharacteristic
536C2×D236C2411yescharacteristic
537C2×C4×D59—21no—
538C2×C4×D59—21no—
539C2×C4×D59—21no—
540C2×C4×D59—21no—
541C2×C4×D59—21no—
542C2×C4×D59—21no—
543C2×C4×D59—21no—
544C2×C4×D59—21no—
545C2×C4×D59—21no—
546C2×C4×D59—21no—
547C2×C4×D59—21no—
548C2×C4×D59—21no—
549C2×C4×D59—21no—
550C2×C4×D59—21no—
551C2×C4×D59—21no—
552C2×C4×D59—82no—
553C2×Dic118—21no—
554C2×Dic118—21no—
555C2×Dic118—21no—
556C2×Dic118—21no—
557C2×Dic118—41no—
558C2×Dic118—41no—
559C2×Dic118—41no—
560C2×Dic118—41no—
561C2×Dic118C2411yescharacteristic
562C2×Dic118C2411yescharacteristic
563C2×Dic118C2411yescharacteristic
564C2×Dic118C2411yescharacteristic
565C2×Dic118C2411yescharacteristic
566M16×C59—41no—
567M16×C59—41no—
568M16×C59—41no—
569M16×C59—41no—
570C2×C8×C59—41no—
571C2×C8×C59—41no—
572C2×C8×C59C2411yescharacteristic
573C2×C8×C59C2411yescharacteristic
574C2×C8×C59C2411yescharacteristic
575C2×C8×C59C2411yescharacteristic
576C2×C8×C59C2411yescharacteristic
577C2×C8×C59C2411yescharacteristic
578C2×C8×C59C2411yescharacteristic
579C2×C8×C59C2411yescharacteristic
580C4⋊C4×C59C2×D411yescharacteristic
581C4⋊C4×C59C2×D411yescharacteristic
582C4⋊C4×C59C2×D411yescharacteristic
583C4⋊C4×C59C2×D411yescharacteristic
584C4⋊C4×C59C2×D411yescharacteristic
585C4⋊C4×C59C2×D411yescharacteristic
586C4⋊C4×C59C2×D411yescharacteristic
587C4⋊C4×C59C2×D411yescharacteristic
588C4⋊C4×C59C2×D411yescharacteristic
589C4⋊C4×C59C2×D411yescharacteristic
590C22⋊C4×C59C2×D411yescharacteristic
591C22⋊C4×C59C2×D411yescharacteristic
592C22⋊C4×C59C2×D411yescharacteristic
593C22⋊C4×C59C2×D411yescharacteristic
594C22⋊C4×C59C2×D411yescharacteristic
595C22⋊C4×C59C2×D411yescharacteristic
596C22⋊C4×C59C2×D411yescharacteristic
597C22⋊C4×C59C2×D411yescharacteristic
598C22⋊C4×C59C2×D411yescharacteristic
599C22⋊C4×C59C2×D411yescharacteristic
600C42×C59C2×D411yescharacteristic
601C42×C59C2×D411yescharacteristic
602C42×C59C2411yescharacteristic
603C42×C59C2411yescharacteristic
604C42×C59C2411yescharacteristic
605C42×C59C2411yescharacteristic
606C22⋊Dic59—21no—
607C22⋊Dic59—21no—
608C22⋊Dic59—21no—
609C22⋊Dic59—21no—
610C22⋊Dic59—21no—
611C22⋊Dic59—21no—
612C22⋊Dic59—21no—
613(C2×D59)⋊C4—21no—
614(C2×D59)⋊C4—21no—
615(C2×D59)⋊C4—21no—
616(C2×D59)⋊C4—21no—
617(C2×D59)⋊C4—21no—
618(C2×D59)⋊C4—21no—
619(C2×D59)⋊C4—21no—
620(C2×D59)⋊C4—21no—
621(C2×D59)⋊C4—21no—
622(C2×D59)⋊C4—21no—
623(C2×D59)⋊C4—21no—
624(C2×D59)⋊C4—21no—
625(C2×D59)⋊C4—21no—
626(C2×D59)⋊C4—21no—
627(C2×D59)⋊C4—21no—
628(C2×D59)⋊C4—21no—
629(C2×D59)⋊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—
641C4⋊Dic59—21no—
642C4⋊Dic59—21no—
643C4⋊Dic59—21no—
644C4⋊Dic59—21no—
645C4⋊Dic59—21no—
646C4⋊Dic59—21no—
647C4⋊Dic59—21no—
648C4⋊Dic59—21no—
649C4⋊Dic59—21no—
650C4⋊Dic59—21no—
651C4⋊Dic59—21no—
652C4⋊Dic59—21no—
653C4⋊Dic59C2411yescharacteristic
654C4⋊Dic59C2411yescharacteristic
655C4⋊Dic59C2411yescharacteristic
656C4⋊Dic59C2411yescharacteristic
657C4⋊Dic59C2411yescharacteristic
658C4⋊Dic59C2411yescharacteristic
659Dic59⋊C4—21no—
660Dic59⋊C4—21no—
661Dic59⋊C4—21no—
662Dic59⋊C4—21no—
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—
675C4×Dic59—21no—
676C4×Dic59—21no—
677C4×Dic59—21no—
678C4×Dic59—21no—
679C4×Dic59—21no—
680C4×Dic59—21no—
681C4×Dic59—21no—
682Dic236—41no—
683Dic236—41no—
684Dic236—41no—
685Dic236—41no—
686D472—22no—
687D472—22no—
688D472—41no—
689D472—41no—
690D472—41no—
691D472—41no—
692#11745660—22no—
693#11745660—22no—
694#11745660—22no—
695#11745660—22no—
696#11745660—41no—
697#11745660—41no—
698#11745660—41no—
699#11745660—41no—
700#11745660—41no—
701#11745660—41no—
702#11745660—41no—
703#11745660—41no—
704#11745660—41no—
705#11745660—41no—
706C23×C59C22×D411yescharacteristic
707C23×C59C22×D411yescharacteristic
708C23×C59C22×D411yescharacteristic
709C22×D59—21no—
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—
720Q8×C59—41no—
721D4×C59—41no—
722D4×C59—41no—
723D4×C59—41no—
724C2×C4×C59—21no—
725C2×C4×C59—21no—
726C2×C4×C59—21no—
727C2×C4×C59—21no—
728C2×C4×C59—21no—
729C2×C4×C59—21no—
730C2×C4×C59—41no—
731C2×C4×C59—41no—
732C2×C4×C59C22×D411yescharacteristic
733C2×C4×C59C22×D411yescharacteristic
734C2×C4×C59C22×D411yescharacteristic
735C2×C4×C59C22×D411yescharacteristic
736C2×C4×C59C22×D411yescharacteristic
737C2×C4×C59C22×D411yescharacteristic
738C2×C4×C59C22×D411yescharacteristic
739C2×C4×C59C22×D411yescharacteristic
740C2×C4×C59C22×D411yescharacteristic
741C2×C4×C59C22×D411yescharacteristic
742C2×C4×C59C22×D411yescharacteristic
743C2×C4×C59C2511yescharacteristic
744C22⋊D59—42no—
745C22⋊D59—42no—
746C22⋊D59—81no—
747C22⋊D59—81no—
748C22⋊D59—81no—
749C22⋊D59—81no—
750C22⋊D59—81no—
751C22⋊D59—81no—
752C22⋊D59—81no—
753C22⋊D59—81no—
754C22⋊D59—81no—
755C2×Dic59—21no—
756C2×Dic59—21no—
757C2×Dic59—21no—
758C2×Dic59—21no—
759C2×Dic59—21no—
760C2×Dic59—21no—
761C2×Dic59—21no—
762C2×Dic59—21no—
763C2×Dic59—21no—
764C2×Dic59—21no—
765C2×Dic59—21no—
766C2×Dic59—42no—
767C2×Dic59—81no—
768C2×Dic59—81no—
769C2×Dic59—81no—
770D236—21no—
771D236—21no—
772D236—21no—
773D236—21no—
774D236—21no—
775D236—21no—
776D236—21no—
777D236—21no—
778D236—21no—
779D236—42no—
780D236—42no—
781D236—42no—
782D236—81no—
783D236—81no—
784D236—81no—
785D236H(5,𝔽2)12yes—
786C4×D59—42no—
787C4×D59—81no—
788C4×D59—81no—
789C4×D59—81no—
790C4×D59—81no—
791C4×D59—81no—
792C4×D59—81no—
793C4×D59—81no—
794C4×D59—81no—
795C4×D59—81no—
796C4×D59—81no—
797C4×D59—81no—
798C4×D59—81no—
799C4×D59—81no—
800C4×D59—81no—
801Dic118—21no—
802Dic118—21no—
803Dic118—21no—
804Dic118—21no—
805Dic118—21no—
806Dic118—21no—
807Dic118—21no—
808Dic118—21no—
809Dic118—21no—
810Dic118—21no—
811Dic118—81no—
812Dic118—81no—
813Dic118—81no—
814Dic118—81no—
815C8×C59—21no—
816C8×C59—21no—
817C8×C59—21no—
818C8×C59—21no—
819C8×C59—21no—
820C8×C59—21no—
821C8×C59—21no—
822C8×C59—21no—
823#62084—591nomaximal, Sylow
824C22×C59—21no—
825C22×C59—21no—
826C22×C59—21no—
827C22×C59—21no—
828C22×C59—21no—
829C22×C59—21no—
830C22×C59—21no—
831C22×C59—21no—
832C22×C59—21no—
833C22×C59C23×D411yescharacteristic
834C2×D59—22no—
835C2×D59—41no—
836C2×D59—41no—
837C2×D59—41no—
838C2×D59—41no—
839C2×D59—41no—
840C2×D59—41no—
841C2×D59—41no—
842C2×D59—41no—
843C2×D59—41no—
844C2×D59—41no—
845C2×D59—41no—
846C2×D59—41no—
847C2×D59—41no—
848C2×D59—41no—
849C2×D59—84no—
850C2×D59—162no—
851C4×C59—21no—
852C4×C59—21no—
853C4×C59—21no—
854C4×C59—21no—
855C4×C59—21no—
856C4×C59—21no—
857C4×C59—21no—
858C4×C59—21no—
859C4×C59—21no—
860C4×C59—21no—
861C4×C59—21no—
862C4×C59C2×H(5,𝔽2)11yescharacteristic
863C4×C59#58511yescharacteristic
864Dic59—41no—
865Dic59—41no—
866Dic59—41no—
867Dic59—41no—
868Dic59—41no—
869Dic59—41no—
870Dic59—41no—
871Dic59—41no—
872Dic59—41no—
873Dic59—41no—
874Dic59—41no—
875#3554—591no—
876#3513—591no—
877#3403—591no—
878#3400—591no—
879#3372—591no—
880#3370—591no—
881#3330—591no—
882#3327—591no—
883#3320—591no—
884#3315—591no—
885#3309—591no—
886#3308—591no—
887#3275—591no—
888#3272—591no—
889#3268—591no—
890#3267—591no—
891#3266—591no—
892#3265—591no—
893#3262—591no—
894#3257—591no—
895#3252—591no—
896#3225—591no—
897#3221—591no—
898#3219—591no—
899#3124—591no—
900#3118—591no—
901#3110—591no—
902#3046—591no—
903#3042—591no—
904#3036—591no—
905#2995D5911yescharacteristic, complemented
906C2×C59—41no—
907C2×C59—41no—
908C2×C59—41no—
909C2×C59#348811yescharacteristic
910C2×C59#358511yescharacteristic
911C2×C59#358611yescharacteristic
912D59—42no—
913D59—81no—
914D59—81no—
915D59—81no—
916D59—81no—
917C2×#137—591no—
918C2×AGL(1,ℤ/8)—591no—
919C2×AGL(1,ℤ/8)—591no—
920C2×AGL(1,ℤ/8)—591no—
921C2×#135—591no—
922C22×SD16—591no—
923#562—1181no—
924#562—1181no—
925#559—591no—
926#559—591no—
927#559—1181no—
928#557—591no—
929#554—591no—
930#554—1181no—
931#553—591no—
932#553—1181no—
933#552—591no—
934#551—1181no—
935#551—1181no—
936#550—591no—
937D4×Q8—591no—
938#548—591no—
939#548—591no—
940#547—591no—
941#547—591no—
942#547—591no—
943#546—591no—
944#546—591no—
945#546—1181no—
946D42—591no—
947#542—591no—
948#542—591no—
949#542—591no—
950#542—1181no—
951#540—591no—
952#540—1181no—
953#539—1181no—
954#539—1181no—
955#539—1181no—
956#538—1181no—
957#536—591no—
958#536—591no—
959#533—591no—
960#532—591no—
961#529—591no—
962#529C2×D5911yescharacteristic
963#525—1181no—
964C2×#123—1181no—
965#520—591no—
966#518—591no—
967C2×C4×D4—591no—
968#497—591no—
969#497—591no—
970#496—591no—
971#496—591no—
972#495—591no—
973#492—591no—
974#491—591no—
975#491—591no—
976#490—591no—
977#489—591no—
978#488—591no—
979#487—591no—
980#485—591no—
981#484—591no—
982#484—591no—
983#484—591no—
984#482—591no—
985#480—591no—
986#479—591no—
987#479—591no—
988#479—591no—
989#478—591no—
990#477—591no—
991#477—591no—
992#476—591no—
993#474—591no—
994#474—591no—
995#474—591no—
996#470—591no—
997#470—591no—
998#469—591no—
999#468—591no—
1000#468—591no—
1001#468—591no—
1002#468—591no—
1003#468—591no—
1004#467—591no—
1005#466—591no—
1006#466—591no—
1007#465—591no—
1008#464—591no—
1009#464—591no—
1010#464—591no—
1011#464—591no—
1012#464—591no—
1013#464—591no—
1014#463—591no—
1015#463—591no—
1016#463—591no—
1017#463—591no—
1018#463—591no—
1019#463—591no—
1020#463—591no—
1021#463—591no—
1022#463—591no—
1023#463—591no—
1024#462—591no—
1025#462—591no—
1026#461—591no—
1027#461—591no—
1028#461—591no—
1029#461—591no—
1030#461—591no—
1031#461—591no—
1032#461—591no—
1033#461—591no—
1034#460—591no—
1035#459—591no—
1036#459—591no—
1037#459—591no—
1038#452—591no—
1039#452—591no—
1040#452—591no—
1041#452—591no—
1042#451—591no—
1043#450—591no—
1044#450—591no—
1045#450—591no—
1046#449—591no—
1047#449—591no—
1048#449—591no—
1049#449—591no—
1050#449—591no—
1051#449—591no—
1052#448—591no—
1053#448—591no—
1054#448—591no—
1055#447—591no—
1056#446C2×D5911yescharacteristic, complemented
1057#446C2×D5911yescharacteristic, complemented
1058#442—591no—
1059#440—591no—
1060#440—591no—
1061#440—591no—
1062#440—591no—
1063#440—591no—
1064#440—591no—
1065#440—591no—
1066C4×Q16—591no—
1067C4×SD16—591no—
1068C4×D8—591no—
1069C4×D8—591no—
1070#436C2×D5911yescharacteristic
1071#436C2×D5911yescharacteristic, complemented
1072#435C2×D5911yescharacteristic
1073#435C2×D5911yescharacteristic, complemented
1074#435C2×D5911yescharacteristic, complemented
1075#435C2×D5911yescharacteristic, complemented
1076#433C2×D5911yescharacteristic, complemented
1077#433C2×D5911yescharacteristic, complemented
1078#432C2×D5911yescharacteristic, complemented
1079#424C2×D5911yescharacteristic, complemented
1080#424C2×D5911yescharacteristic, complemented
1081#423C2×D5911yescharacteristic, complemented
1082#419—591no—
1083#417—591no—
1084#417—591no—
1085#417—591no—
1086#416—591no—
1087C2×#103—591no—
1088C59#6208411yescharacteristic, complemented, Sylow
1089C2×#41—591no—
1090C2×#41—591no—
1091C2×#41—591no—
1092C2×#41—591no—
1093C2×#41—591no—
1094C2×#41—1181no—
1095C22×Q8—591no—
1096C22×Q8—591no—
1097C22×D4—591no—
1098C22×D4—591no—
1099C22×D4—1181no—
1100C23×C4—1181no—
1101#137—2362no—
1102AGL(1,ℤ/8)—2362no—
1103AGL(1,ℤ/8)—2362no—
1104AGL(1,ℤ/8)—2362no—
1105#135—2362no—
1106C2×Q16—591no—
1107C2×Q16—591no—
1108C2×Q16—591no—
1109C2×Q16—591no—
1110C2×SD16—591no—
1111C2×SD16—591no—
1112C2×SD16—591no—
1113C2×SD16—591no—
1114C2×SD16—591no—
1115C2×SD16—591no—
1116C2×SD16—591no—
1117C2×SD16—591no—
1118C2×SD16—591no—
1119C2×SD16—591no—
1120C2×SD16—591no—
1121C2×SD16—591no—
1122C2×SD16—591no—
1123C2×SD16—591no—
1124C2×SD16—2362no—
1125C2×D8—591no—
1126C2×D8—591no—
1127C2×D8—591no—
1128C2×D8—591no—
1129C2×D8—591no—
1130C2×D8—591no—
1131C2×M16C22×D5911yescharacteristic
1132C2×M16C22×D5911yescharacteristic
1133C2×M16C22×D5911yescharacteristic
1134C2×M16C22×D5911yescharacteristic
1135C22×C8C22×D5911yescharacteristic
1136C22×C8C22×D5911yescharacteristic
1137C4⋊Q8—591no—
1138C4⋊Q8—591no—
1139C4⋊Q8—591no—
1140C4⋊Q8—591no—
1141C4⋊Q8—591no—
1142C4⋊Q8—591no—
1143C4⋊Q8—1181no—
1144#127—591no—
1145#127—591no—
1146#127—1181no—
1147#126—1181no—
1148#126—1181no—
1149#126—1181no—
1150#126—1181no—
1151#126—1181no—
1152#126—1181no—
1153#126D23611yescharacteristic
1154#126D23611yescharacteristic
1155#125—591no—
1156#125—591no—
1157#125—1181no—
1158#125—1181no—
1159#125—1181no—
1160#125—1181no—
1161#125—1181no—
1162#125D23611yescharacteristic
1163#124—591no—
1164#124—591no—
1165#124—591no—
1166#124—591no—
1167#124—591no—
1168#124—591no—
1169#124—1181no—
1170#124—1181no—
1171#124—1181no—
1172#124—1181no—
1173#124—1181no—
1174#124—1181no—
1175#124—1181no—
1176#124D23611yescharacteristic
1177#123—1181no—
1178#123—1181no—
1179#123—1181no—
1180#123—1181no—
1181#123—1181no—
1182#123—1181no—
1183#123—1181no—
1184#123—1181no—
1185#123—1181no—
1186#123—1181no—
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#123D23611yescharacteristic
1202#123D23611yescharacteristic
1203C22⋊Q8—591no—
1204C22⋊Q8—591no—
1205C22⋊Q8—591no—
1206C22⋊Q8—591no—
1207C22⋊Q8—591no—
1208C22⋊Q8—591no—
1209C22⋊Q8—1181no—
1210C22⋊Q8—1181no—
1211C22⋊Q8—1181no—
1212C22⋊Q8—1181no—
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⋊Q8—1181no—
1224C22⋊Q8—1181no—
1225C22⋊Q8D23611yescharacteristic
1226#121—591no—
1227#121—591no—
1228#121—591no—
1229#121—591no—
1230#121—591no—
1231#121—591no—
1232#121—1181no—
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#121D23611yescharacteristic
1247#120—1181no—
1248#120—1181no—
1249#120—1181no—
1250#120—1181no—
1251C4×Q8—591no—
1252C4×Q8—591no—
1253C4×Q8—591no—
1254C4×Q8—591no—
1255C4×Q8—591no—
1256C4×Q8—591no—
1257C4×Q8—1181no—
1258C4×Q8—1181no—
1259C4×Q8C22×D5911yescharacteristic
1260C4×D4—591no—
1261C4×D4—591no—
1262C4×D4—591no—
1263C4×D4—591no—
1264C4×D4—591no—
1265C4×D4—591no—
1266C4×D4—591no—
1267C4×D4—591no—
1268C4×D4—591no—
1269C4×D4—591no—
1270C4×D4—1181no—
1271C4×D4—1181no—
1272C4×D4—1181no—
1273C4×D4—1181no—
1274C4×D4—1181no—
1275C4×D4—1181no—
1276C4×D4—1181no—
1277C4×D4—1181no—
1278C4×D4—1181no—
1279C4×D4—1181no—
1280C4×D4—1181no—
1281C4×D4—1181no—
1282C4×D4—1181no—
1283C4×D4—1181no—
1284C4×D4—1181no—
1285C4×D4—1181no—
1286C4×D4C22×D5911yescharacteristic
1287C4×D4C22×D5911yescharacteristic
1288C4×D4C22×D5911yescharacteristic
1289#117—591no—
1290#117—1181no—
1291#117—1181no—
1292#117—1181no—
1293#117—1181no—
1294#117C22×D5911yescharacteristic
1295#117C22×D5911yescharacteristic
1296C2×C4⋊C4—591no—
1297C2×C4⋊C4—591no—
1298C2×C4⋊C4—1181no—
1299C2×C4⋊C4—1181no—
1300C2×C4⋊C4—1181no—
1301C2×C4⋊C4—1181no—
1302C2×C22⋊C4—1181no—
1303C2×C22⋊C4—1181no—
1304C2×C22⋊C4—1181no—
1305C2×C22⋊C4—1181no—
1306C2×C22⋊C4—1181no—
1307C2×C42C22×D5911yescharacteristic
1308#107—591no—
1309#107—591no—
1310#107—591no—
1311#107—591no—
1312#107—591no—
1313#107—591no—
1314#106—591no—
1315#106—591no—
1316C4⋊C8C22×D5911yescharacteristic
1317C4⋊C8C22×D5911yescharacteristic
1318C4⋊C8C22×D5911yescharacteristic
1319C4⋊C8C22×D5911yescharacteristic
1320C4⋊C8C22×D5911yescharacteristic
1321C4⋊C8C22×D5911yescharacteristic
1322C4⋊C8C22×D5911yescharacteristic
1323C4⋊C8C22×D5911yescharacteristic
1324C4⋊C8C22×D5911yescharacteristic
1325C4⋊C8C22×D5911yescharacteristic
1326#103—591no—
1327#103—591no—
1328#103—591no—
1329#103—591no—
1330#103—591no—
1331#103—591no—
1332#103—591no—
1333#103—591no—
1334#103—591no—
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#102—591no—
1345#102—591no—
1346#102—591no—
1347#102—591no—
1348#102—591no—
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—
1358C22⋊C8C22×D5911yescharacteristic
1359C22⋊C8C22×D5911yescharacteristic
1360C22⋊C8C22×D5911yescharacteristic
1361C22⋊C8C22×D5911yescharacteristic
1362C22⋊C8C22×D5911yescharacteristic
1363C22⋊C8C22×D5911yescharacteristic
1364#97C22×D5911yescharacteristic
1365#97C22×D5911yescharacteristic
1366#97C22×D5911yescharacteristic
1367#97C22×D5911yescharacteristic
1368C4×C8C22×D5911yescharacteristic
1369C4×C8C22×D5911yescharacteristic
1370C24—1181no—
1371C24—1181no—
1372#41—1182no—
1373#41—4722no—
1374#41—2361no—
1375#41—2361no—
1376#41—2361no—
1377#41—2361no—
1378#41—2361no—
1379#41—2361no—
1380#41—2361no—
1381#41—2361no—
1382#41—2361no—
1383C2×Q8—591no—
1384C2×Q8—591no—
1385C2×Q8—591no—
1386C2×Q8—591no—
1387C2×Q8—591no—
1388C2×Q8—1181no—
1389C2×Q8—1181no—
1390C2×Q8—1181no—
1391C2×Q8—1181no—
1392C2×Q8—2361no—
1393C2×Q8—2361no—
1394C2×Q8—2361no—
1395C2×Q8—2361no—
1396C2×Q8C2×D23611yescharacteristic
1397C2×D4—591no—
1398C2×D4—591no—
1399C2×D4—591no—
1400C2×D4—591no—
1401C2×D4—591no—
1402C2×D4—1182no—
1403C2×D4—1182no—
1404C2×D4—1181no—
1405C2×D4—1181no—
1406C2×D4—1181no—
1407C2×D4—1181no—
1408C2×D4—1181no—
1409C2×D4—1181no—
1410C2×D4—1181no—
1411C2×D4—1181no—
1412C2×D4—1181no—
1413C2×D4—1181no—
1414C2×D4—1181no—
1415C2×D4—1181no—
1416C2×D4—1181no—
1417C2×D4—1181no—
1418C2×D4—1181no—
1419C2×D4—1181no—
1420C2×D4—1181no—
1421C2×D4—4722no—
1422C2×D4—2361no—
1423C2×D4—2361no—
1424C2×D4C2×D23611yescharacteristic
1425C2×D4C2×D23611yescharacteristic
1426C2×D4C2×D23611yescharacteristic
1427C22×C4—1181no—
1428C22×C4—1181no—
1429C22×C4—1181no—
1430C22×C4—1181no—
1431C22×C4—1181no—
1432C22×C4—1181no—
1433C22×C4—1181no—
1434C22×C4—1181no—
1435C22×C4—1181no—
1436C22×C4—1181no—
1437C22×C4—1181no—
1438C22×C4—1181no—
1439C22×C4—1181no—
1440C22×C4—1181no—
1441C22×C4—1181no—
1442C22×C4—1181no—
1443C22×C4—1181no—
1444C22×C4—1181no—
1445C22×C4—1181no—
1446C22×C4—4722no—
1447C22×C4C2×D23611yescharacteristic
1448C22×C4C2×D23611yescharacteristic
1449C22×C4C23×D5911yescharacteristic
1450C22×C4C23×D5911yescharacteristic
1451C22×C4C23×D5911yescharacteristic
1452Q16—2361no—
1453Q16—2361no—
1454Q16—2361no—
1455Q16—2361no—
1456SD16—1182no—
1457SD16—1182no—
1458SD16—1182no—
1459SD16—1182no—
1460SD16—2361no—
1461SD16—2361no—
1462SD16—2361no—
1463SD16—2361no—
1464SD16—2361no—
1465SD16—2361no—
1466SD16—2361no—
1467SD16—2361no—
1468SD16—2361no—
1469SD16—2361no—
1470D8—1182no—
1471D8—1182no—
1472D8—2361no—
1473D8—2361no—
1474D8—2361no—
1475D8—2361no—
1476M16—41no—
1477M16—41no—
1478M16—41no—
1479M16—41no—
1480C2×C8—41no—
1481C2×C8—41no—
1482C2×C8C23×D5911yescharacteristic
1483C2×C8C23×D5911yescharacteristic
1484C2×C8C23×D5911yescharacteristic
1485C2×C8C23×D5911yescharacteristic
1486C2×C8C23×D5911yescharacteristic
1487C2×C8C23×D5911yescharacteristic
1488C2×C8C23×D5911yescharacteristic
1489C2×C8C23×D5911yescharacteristic
1490C4⋊C4—591no—
1491C4⋊C4—591no—
1492C4⋊C4—591no—
1493C4⋊C4—591no—
1494C4⋊C4—591no—
1495C4⋊C4—591no—
1496C4⋊C4—1181no—
1497C4⋊C4—1181no—
1498C4⋊C4—1181no—
1499C4⋊C4—1181no—
1500C4⋊C4—1181no—
1501C4⋊C4—1181no—
1502C4⋊C4—1181no—
1503C4⋊C4—1181no—
1504C4⋊C4—1181no—
1505C4⋊C4—1181no—
1506C4⋊C4—1181no—
1507C4⋊C4—1181no—
1508C4⋊C4—1181no—
1509C4⋊C4—1181no—
1510C4⋊C4—1181no—
1511C4⋊C4—1181no—
1512C4⋊C4—1181no—
1513C4⋊C4—1181no—
1514C4⋊C4—1181no—
1515C4⋊C4—1181no—
1516C4⋊C4—1181no—
1517C4⋊C4—1181no—
1518C4⋊C4—1181no—
1519C4⋊C4—1181no—
1520C4⋊C4—1181no—
1521C4⋊C4—1181no—
1522C4⋊C4—1181no—
1523C4⋊C4—1181no—
1524C4⋊C4C2×D23611yescharacteristic
1525C4⋊C4C2×D23611yescharacteristic
1526C4⋊C4C2×D23611yescharacteristic
1527C4⋊C4C2×D23611yescharacteristic
1528C4⋊C4C2×D23611yescharacteristic
1529C4⋊C4C2×D23611yescharacteristic
1530C4⋊C4C2×D23611yescharacteristic
1531C4⋊C4C2×D23611yescharacteristic
1532C4⋊C4C2×D23611yescharacteristic
1533C4⋊C4C2×D23611yescharacteristic
1534C22⋊C4—1181no—
1535C22⋊C4—1181no—
1536C22⋊C4—1181no—
1537C22⋊C4—1181no—
1538C22⋊C4—1181no—
1539C22⋊C4—1181no—
1540C22⋊C4—1181no—
1541C22⋊C4—1181no—
1542C22⋊C4—1181no—
1543C22⋊C4—1181no—
1544C22⋊C4—1181no—
1545C22⋊C4—1181no—
1546C22⋊C4—1181no—
1547C22⋊C4—1181no—
1548C22⋊C4—1181no—
1549C22⋊C4—1181no—
1550C22⋊C4—1181no—
1551C22⋊C4—1181no—
1552C22⋊C4—1181no—
1553C22⋊C4—1181no—
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⋊C4C2×D23611yescharacteristic
1570C22⋊C4C2×D23611yescharacteristic
1571C22⋊C4C2×D23611yescharacteristic
1572C22⋊C4C2×D23611yescharacteristic
1573C22⋊C4C2×D23611yescharacteristic
1574C22⋊C4C2×D23611yescharacteristic
1575C22⋊C4C2×D23611yescharacteristic
1576C22⋊C4C2×D23611yescharacteristic
1577C22⋊C4C2×D23611yescharacteristic
1578C22⋊C4C2×D23611yescharacteristic
1579C42—1181no—
1580C42—1181no—
1581C42—1181no—
1582C42—1181no—
1583C42—1181no—
1584C42—1181no—
1585C42—1181no—
1586C42C2×D23611yescharacteristic
1587C42C2×D23611yescharacteristic
1588C42C23×D5911yescharacteristic
1589C42C23×D5911yescharacteristic
1590C42C23×D5911yescharacteristic
1591C42C23×D5911yescharacteristic
1592C23—1181no—
1593C23—1181no—
1594C23—1181no—
1595C23—1181no—
1596C23—1181no—
1597C23—4721no—
1598C23—4721no—
1599C23—4721no—
1600C23—2362no—
1601C23—2362no—
1602C23—2362no—
1603C23C22×D23611yescharacteristic
1604C23C22×D23611yescharacteristic
1605C23C22×D23611yescharacteristic
1606Q8—41no—
1607Q8—1181no—
1608Q8—1181no—
1609Q8—1181no—
1610Q8—1181no—
1611Q8—1181no—
1612Q8—1181no—
1613Q8—1181no—
1614Q8—1181no—
1615Q8—1181no—
1616Q8—1181no—
1617Q8—4721no—
1618Q8—4721no—
1619Q8—4721no—
1620Q8—4721no—
1621D4—41no—
1622D4—41no—
1623D4—41no—
1624D4—592no—
1625D4—1181no—
1626D4—1181no—
1627D4—1181no—
1628D4—1181no—
1629D4—1181no—
1630D4—1181no—
1631D4—1181no—
1632D4—1181no—
1633D4—1181no—
1634D4—4721no—
1635D4—4721no—
1636D4—4721no—
1637D4—4721no—
1638D4—4721no—
1639D4—4721no—
1640D4—4721no—
1641D4—4721no—
1642D4—4721no—
1643D4—4721no—
1644D4—4721no—
1645D4—4721no—
1646D4—2362no—
1647D4—2362no—
1648D4—2362no—
1649D4—2362no—
1650D4—2362no—
1651C2×C4—21no—
1652C2×C4—21no—
1653C2×C4—21no—
1654C2×C4—21no—
1655C2×C4—21no—
1656C2×C4—21no—
1657C2×C4—41no—
1658C2×C4—41no—
1659C2×C4—1181no—
1660C2×C4—1181no—
1661C2×C4—1181no—
1662C2×C4—1181no—
1663C2×C4—1181no—
1664C2×C4—1181no—
1665C2×C4—1181no—
1666C2×C4—1181no—
1667C2×C4—1181no—
1668C2×C4—1181no—
1669C2×C4—1181no—
1670C2×C4—4721no—
1671C2×C4—4721no—
1672C2×C4—4721no—
1673C2×C4—4721no—
1674C2×C4—4721no—
1675C2×C4—4721no—
1676C2×C4—4721no—
1677C2×C4—4721no—
1678C2×C4—4721no—
1679C2×C4—4721no—
1680C2×C4—4721no—
1681C2×C4—4721no—
1682C2×C4—4721no—
1683C2×C4—4721no—
1684C2×C4—4721no—
1685C2×C4—4721no—
1686C2×C4—4721no—
1687C2×C4—2362no—
1688C2×C4—2362no—
1689C2×C4C22×D23611yescharacteristic
1690C2×C4C22×D23611yescharacteristic
1691C2×C4C22×D23611yescharacteristic
1692C2×C4C22×D23611yescharacteristic
1693C2×C4C22×D23611yescharacteristic
1694C2×C4C22×D23611yescharacteristic
1695C2×C4C22×D23611yescharacteristic
1696C2×C4C22×D23611yescharacteristic
1697C2×C4C22×D23611yescharacteristic
1698C2×C4C22×D23611yescharacteristic
1699C2×C4C22×D23611yescharacteristic
1700C2×C4C24×D5911yescharacteristic
1701C8—21no—
1702C8—21no—
1703C8—21no—
1704C8—21no—
1705C8—21no—
1706C8—21no—
1707C8—21no—
1708C8—21no—
1709C22—21no—
1710C22—21no—
1711C22—21no—
1712C22—21no—
1713C22—21no—
1714C22—21no—
1715C22—21no—
1716C22—21no—
1717C22—21no—
1718C22—1182no—
1719C22—9442no—
1720C22—4724no—
1721C22—2361no—
1722C22—2361no—
1723C22—2361no—
1724C22—2361no—
1725C22—2361no—
1726C22—2361no—
1727C22—2361no—
1728C22—2361no—
1729C22—2361no—
1730C22—2361no—
1731C22—2361no—
1732C22—2361no—
1733C22—2361no—
1734C22—2361no—
1735C22C23×D23611yescharacteristic
1736C4—21no—
1737C4—21no—
1738C4—21no—
1739C4—21no—
1740C4—21no—
1741C4—21no—
1742C4—21no—
1743C4—21no—
1744C4—21no—
1745C4—21no—
1746C4—21no—
1747C4—2361no—
1748C4—2361no—
1749C4—2361no—
1750C4—2361no—
1751C4—2361no—
1752C4—2361no—
1753C4—2361no—
1754C4—2361no—
1755C4—2361no—
1756C4—2361no—
1757C4—2361no—
1758C4H(5,𝔽2)×D5911yescharacteristic
1759C4#1683823911yescharacteristic
1760C2—41no—
1761C2—41no—
1762C2—41no—
1763C2—4721no—
1764C2—4721no—
1765C2—4721no—
1766C2—4721no—
1767C2—2362no—
1768C2#2143776611yescharacteristic
1769C2#2143887711yescharacteristic
1770C2#2143888411yescharacteristic
subgroupG/H
centerC22C23×D236
commutator, cosocleC2×C4×C59C25
FrattiniC2×C4C24×D59
FittingC59×#2995C2
socleC22×C59C23×D4
hypercenter#2995D59
hypocenterC59#62084
LCSG ▷ C2×C4×C59 ▷ C2×C59 ▷ C59
UCSC1 ◁ C22 ◁ #529 ◁ #2995

Complements

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

NH ≅ G/Ntype
1. #21438569C2semidirect
2. #21438040C2semidirect
3. #21437186C2semidirect
4. #21437151C2semidirect
5. #21436879C2semidirect
6. #21436851C2semidirect
7. #21436402C2semidirect
8. #21436366C2semidirect
9. #21436269C2semidirect
10. #21436194C2semidirect
11. #21436104C2semidirect
12. #21436089C2semidirect
13. #21435732C2semidirect
14. #21435698C2semidirect
15. #21435641C2semidirect
16. #21435626C2semidirect
17. #21435611C2semidirect
18. #21435596C2semidirect
19. #21435557C2semidirect
20. #21435509C2semidirect
21. #21435470C2semidirect
22. #21435207C2semidirect
23. #21435159C2semidirect
24. #21435135C2semidirect
25. #21434360C2semidirect
26. #21434282C2semidirect
27. #21434196C2semidirect
28. #21433648C2semidirect
29. #21433609C2semidirect
30. #21433562C2semidirect
31. C59×#2995C2semidirect
41. #16838137C22semidirect
43. #16838131C22semidirect
51. #16838073C22semidirect
52. D4×Dic118C22semidirect
54. #16838061C22semidirect
56. #16838057C22semidirect
64. #16838023C22semidirect
65. #16838023C22semidirect
72. #16837978C22semidirect
73. #16837978C22semidirect
74. #16837959C22semidirect
75. #16837952C22semidirect
82. #16837796C22semidirect
83. #16837796C22semidirect
85. #16837791C22semidirect
86. #16837786C22semidirect
88. #16837771C22semidirect
89. #16837771C22semidirect
90. #16837767C22semidirect
91. #16837762C22semidirect
92. #16837757C22semidirect
93. #16837753C22semidirect
94. #16837744C22semidirect
95. #16837738C22semidirect
96. #16837738C22semidirect
97. #16837738C22semidirect
98. #16837727C22semidirect
99. #16837716C22semidirect
100. #16837710C22semidirect
101. #16837710C22semidirect
102. #16837710C22semidirect
103. #16837703C22semidirect
104. #16837698C22semidirect
105. #16837698C22semidirect
106. #16837693C22semidirect
108. #16837683C22semidirect
109. #16837683C22semidirect
110. #16837660C22semidirect
111. #16837660C22semidirect
112. #16837655C22semidirect
116. #16837648C22semidirect
117. #16837648C22semidirect
118. #16837643C22semidirect
120. #16837638C22semidirect
121. #16837631C22semidirect
122. #16837625C22semidirect
123. #16837625C22semidirect
124. #16837625C22semidirect
125. #16837625C22semidirect
126. #16837625C22semidirect
127. #16837625C22semidirect
132. #16837618C22semidirect
133. #16837618C22semidirect
134. #16837618C22semidirect
135. #16837618C22semidirect
136. #16837618C22semidirect
137. #16837618C22semidirect
138. #16837613C22semidirect
139. #16837613C22semidirect
144. #16837608C22semidirect
145. #16837608C22semidirect
146. #16837608C22semidirect
147. #16837608C22semidirect
151. #16837598C22semidirect
153. #16837566C22semidirect
154. #16837566C22semidirect
155. #16837566C22semidirect
156. #16837560C22semidirect
164. #16837549C22semidirect
165. #16837549C22semidirect
167. #16837543C22semidirect
168. #16837543C22semidirect
174. #16837504C22semidirect
175. #16837504C22semidirect
176. #16837504C22semidirect
177. #16837504C22semidirect
178. C4×Dic236C22semidirect
181. C4×D472C22semidirect
182. #16837412C22semidirect
183. #16837404C22semidirect
184. #16837404C22semidirect
185. #16837404C22semidirect
186. #16837399C22semidirect
187. C2×#14273652C22semidirect
189. C59×#446C22semidirect
190. C59×#446C22semidirect
192. C59×#436C22semidirect
194. C59×#435C22semidirect
195. C59×#435C22semidirect
196. C59×#435C22semidirect
197. C59×#433C22semidirect
198. C59×#433C22semidirect
199. C59×#432C22semidirect
200. C59×#424C22semidirect
201. C59×#424C22semidirect
202. C59×#423C22semidirect
905. #2995D59semidirect
1056. #446C2×D59semidirect
1057. #446C2×D59semidirect
1071. #436C2×D59semidirect
1073. #435C2×D59semidirect
1074. #435C2×D59semidirect
1075. #435C2×D59semidirect
1076. #433C2×D59semidirect
1077. #433C2×D59semidirect
1078. #432C2×D59semidirect
1079. #424C2×D59semidirect
1080. #424C2×D59semidirect
1081. #423C2×D59semidirect
1088. C59#62084semidirect

Maximal subgroups

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

subgroupindex
#214385692
#214380402
#214371862
#214371512
#214368792
#214368512
#214364022
#214363662
#214362692
#214361942
#214361042
#214360892
#214357322
#214356982
#214356412
#214356262
#214356112
#214355962
#214355572
#214355092
#214354702
#214352072
#214351592
#214351352
#214343602
#214342822
#214341962
#214336482
#214336092
#214335622
C59×#29952
#6208459