Finite Group Databasebeta

← #29484030

Subgroups — #29484030

Order 15104.

1836 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#21438470C211yesmaximal, characteristic, complemented
2#21438085C211yesmaximal, characteristic, complemented
3#21437177C211yesmaximal, characteristic, complemented
4#21437118C211yesmaximal, characteristic, complemented
5#21436940C211yesmaximal, characteristic, complemented
6#21436827C211yesmaximal, characteristic, complemented
7#21436435C211yesmaximal, characteristic, complemented
8#21436299C211yesmaximal, characteristic, complemented
9#21436194C211yesmaximal, characteristic, complemented
10#21436179C211yesmaximal, characteristic, complemented
11#21436119C211yesmaximal, characteristic, complemented
12#21436104C211yesmaximal, characteristic, complemented
13#21435764C211yesmaximal, characteristic, complemented
14#21435732C211yesmaximal, characteristic, complemented
15#21435686C211yesmaximal, characteristic, complemented
16#21435656C211yesmaximal, characteristic, complemented
17#21435611C211yesmaximal, characteristic, complemented
18#21435596C211yesmaximal, characteristic, complemented
19#21435557C211yesmaximal, characteristic, complemented
20#21435524C211yesmaximal, characteristic, complemented
21#21435459C211yesmaximal, characteristic, complemented
22#21435192C211yesmaximal, characteristic, complemented
23#21435170C211yesmaximal, characteristic, complemented
24#21435135C211yesmaximal, characteristic, complemented
25#21434360C211yesmaximal, characteristic, complemented
26#21434327C211yesmaximal, characteristic, complemented
27#21434219C211yesmaximal, characteristic, complemented
28#21433637C211yesmaximal, characteristic, complemented
29#21433618C211yesmaximal, characteristic, complemented
30#21433570C211yesmaximal, characteristic, complemented
31C59×#2995C211yesmaximal, characteristic, complemented
32C2×#14273760C2211yescharacteristic, complemented
33C2×#14273760C2211yescharacteristic, complemented
34C2×#14273760C2211yescharacteristic, complemented
35C2×#14273755C2211yescharacteristic
36C2×#14273749C2211yescharacteristic, complemented
37C22×#11745660C2211yescharacteristic
38#16838142—21no—
39#16838142—21no—
40#16838130C2211yescharacteristic, complemented
41#16838125C2211yescharacteristic
42#16838125C2211yescharacteristic, complemented
43#16838119—21no—
44#16838109C2211yescharacteristic, complemented
45#16838106—21no—
46#16838105—21no—
47#16838098C2211yescharacteristic, complemented
48#16838095—21no—
49#16838092C2211yescharacteristic
50#16838088—21no—
51#16838074C2211yescharacteristic
52#16838073C2211yescharacteristic
53#16838073C2211yescharacteristic
54D4×Dic118C2211yescharacteristic, complemented
55#16838061C2211yescharacteristic
56#16838061C2211yescharacteristic, complemented
57#16838057C2211yescharacteristic
58#16838048C2211yescharacteristic
59#16838048C2211yescharacteristic
60#16838045—21no—
61D4×D236C2211yescharacteristic
62#16838023C2211yescharacteristic
63#16838023C2211yescharacteristic
64#16838023C2211yescharacteristic, complemented
65#16838016—21no—
66#16838014C2211yescharacteristic, complemented
67#16838011—21no—
68#16837991—21no—
69#16837991—21no—
70#16837982—21no—
71#16837971C2211yescharacteristic
72#16837971C2211yescharacteristic
73#16837968—21no—
74#16837952C2211yescharacteristic
75#16837952C2211yescharacteristic
76#16837936C2211yescharacteristic, complemented
77#16837929—21no—
78#16837929—21no—
79#16837882C2211yescharacteristic, complemented
80#16837879C2211yescharacteristic, complemented
81C2×C4×Dic118C2211yescharacteristic, complemented
82#16837796C2211yescharacteristic
83#16837796C2211yescharacteristic, complemented
84#16837791C2211yescharacteristic
85#16837791C2211yescharacteristic, complemented
86#16837786C2211yescharacteristic
87#16837775C2211yescharacteristic, complemented
88#16837771C2211yescharacteristic, complemented
89#16837767C2211yescharacteristic
90#16837767C2211yescharacteristic, complemented
91#16837762C2211yescharacteristic
92#16837757C2211yescharacteristic
93#16837749C2211yescharacteristic, complemented
94#16837744C2211yescharacteristic, complemented
95#16837738C2211yescharacteristic, complemented
96#16837727C2211yescharacteristic
97#16837716C2211yescharacteristic
98#16837716C2211yescharacteristic
99#16837716C2211yescharacteristic, complemented
100#16837710C2211yescharacteristic, complemented
101#16837703C2211yescharacteristic
102#16837703C2211yescharacteristic, complemented
103#16837703C2211yescharacteristic, complemented
104#16837698C2211yescharacteristic, complemented
105#16837698C2211yescharacteristic, complemented
106#16837698C2211yescharacteristic, complemented
107#16837688C2211yescharacteristic, complemented
108#16837683C2211yescharacteristic, complemented
109#16837683C2211yescharacteristic, complemented
110#16837660C2211yescharacteristic, complemented
111#16837655C2211yescharacteristic
112#16837655C2211yescharacteristic, complemented
113#16837648C2211yescharacteristic
114#16837648C2211yescharacteristic
115#16837648C2211yescharacteristic
116#16837648C2211yescharacteristic, complemented
117#16837648C2211yescharacteristic, complemented
118#16837643C2211yescharacteristic, complemented
119#16837643C2211yescharacteristic, complemented
120#16837638C2211yescharacteristic
121#16837631C2211yescharacteristic
122#16837625C2211yescharacteristic
123#16837625C2211yescharacteristic
124#16837625C2211yescharacteristic
125#16837625C2211yescharacteristic, complemented
126#16837625C2211yescharacteristic, complemented
127#16837625C2211yescharacteristic, complemented
128#16837625C2211yescharacteristic, complemented
129#16837625C2211yescharacteristic, complemented
130#16837625C2211yescharacteristic, complemented
131#16837625C2211yescharacteristic, complemented
132#16837618C2211yescharacteristic
133#16837618C2211yescharacteristic
134#16837618C2211yescharacteristic, complemented
135#16837618C2211yescharacteristic, complemented
136#16837618C2211yescharacteristic, complemented
137#16837618C2211yescharacteristic, complemented
138#16837613C2211yescharacteristic, complemented
139#16837613C2211yescharacteristic, complemented
140#16837613C2211yescharacteristic, complemented
141#16837608C2211yescharacteristic, complemented
142#16837603C2211yescharacteristic
143#16837603C2211yescharacteristic
144#16837603C2211yescharacteristic
145#16837603C2211yescharacteristic
146#16837603C2211yescharacteristic
147#16837603C2211yescharacteristic, complemented
148#16837603C2211yescharacteristic, complemented
149#16837603C2211yescharacteristic, complemented
150#16837598C2211yescharacteristic
151#16837598C2211yescharacteristic, complemented
152#16837566C2211yescharacteristic, complemented
153#16837566C2211yescharacteristic, complemented
154#16837566C2211yescharacteristic, complemented
155#16837566C2211yescharacteristic, complemented
156#16837566C2211yescharacteristic, complemented
157#16837566C2211yescharacteristic, complemented
158#16837560C2211yescharacteristic, complemented
159#16837555C2211yescharacteristic
160#16837555C2211yescharacteristic
161#16837555C2211yescharacteristic
162#16837549C2211yescharacteristic
163#16837549C2211yescharacteristic, complemented
164#16837549C2211yescharacteristic, complemented
165#16837549C2211yescharacteristic, complemented
166#16837543C2211yescharacteristic
167#16837543C2211yescharacteristic
168#16837543C2211yescharacteristic, complemented
169#16837538C2211yescharacteristic
170#16837510C2211yescharacteristic, complemented
171#16837504C2211yescharacteristic
172#16837504C2211yescharacteristic
173#16837504C2211yescharacteristic, complemented
174#16837504C2211yescharacteristic, complemented
175#16837504C2211yescharacteristic, complemented
176#16837504C2211yescharacteristic, complemented
177#16837504C2211yescharacteristic, complemented
178C4×Dic236C2211yescharacteristic, complemented
179C4×Dic236C2211yescharacteristic, complemented
180C4×#11745660C2211yescharacteristic, complemented
181C4×D472C2211yescharacteristic, complemented
182#16837408C2211yescharacteristic
183#16837404C2211yescharacteristic, complemented
184#16837404C2211yescharacteristic, complemented
185#16837404C2211yescharacteristic, complemented
186#16837399C2211yescharacteristic, complemented
187C2×#14273649C2211yescharacteristic
188C59×#529C2211yescharacteristic
189C59×#446C2211yescharacteristic, complemented
190C59×#446C2211yescharacteristic, complemented
191C59×#436C2211yescharacteristic, complemented
192C59×#436C2211yescharacteristic, complemented
193C59×#435C2211yescharacteristic
194C59×#435C2211yescharacteristic
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×#11745689—21no—
204C2×#11745685—21no—
205C2×#11745685C2311yescharacteristic
206C2×#11745685C2311yescharacteristic
207C2×#11745685C2311yescharacteristic
208C2×#11745685C2311yescharacteristic
209C2×#11745685C2311yescharacteristic
210C22×Dic118C2311yescharacteristic
211C22×Dic118C2311yescharacteristic
212C22×D236C2311yescharacteristic
213C22×D236C2311yescharacteristic
214C2×D4×D59—21no—
215#14273760—42no—
216#14273760—42no—
217#14273760—42no—
218#14273755—42no—
219#14273749—42no—
220C2×Dic236C2311yescharacteristic
221C2×Dic236C2311yescharacteristic
222C2×Dic236C2311yescharacteristic
223C2×Dic236C2311yescharacteristic
224C2×Dic236C2311yescharacteristic
225C2×Dic236C2311yescharacteristic
226C2×#11745660—42no—
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×#11745660C2311yescharacteristic
240C2×#11745660C2311yescharacteristic
241C2×D472C2311yescharacteristic
242C2×D472C2311yescharacteristic
243C2×D472C2311yescharacteristic
244C2×D472C2311yescharacteristic
245#14273727C2311yescharacteristic
246#14273727C2311yescharacteristic
247#14273727C2311yescharacteristic
248#14273727C2311yescharacteristic
249#14273726—21no—
250#14273725—21no—
251#14273724C2311yescharacteristic
252#14273724C2311yescharacteristic
253#14273724C2311yescharacteristic
254#14273724C2311yescharacteristic
255#14273723—21no—
256#14273723—21no—
257#14273722—21no—
258#14273722—21no—
259#14273722—21no—
260#14273722—21no—
261#14273722—21no—
262#14273722—21no—
263#14273722—21no—
264#14273722—21no—
265#14273721—21no—
266#14273720—21no—
267#14273720—21no—
268#14273720—21no—
269#14273719C2311yescharacteristic
270#14273719C2311yescharacteristic
271#14273718—21no—
272#14273717—21no—
273#14273717—21no—
274#14273717—21no—
275#14273717—21no—
276#14273717—21no—
277#14273715—21no—
278#14273715C2311yescharacteristic
279#14273715C2311yescharacteristic
280#14273715C2311yescharacteristic
281#14273715C2311yescharacteristic
282#14273715C2311yescharacteristic
283#14273715C2311yescharacteristic
284#14273713—21no—
285#14273713—21no—
286#14273713—21no—
287#14273713—21no—
288#14273713—21no—
289#14273712—21no—
290#14273712—21no—
291#14273710—21no—
292#14273709—21no—
293#14273709—21no—
294#14273709—21no—
295#14273709—21no—
296#14273709—21no—
297#14273709—21no—
298#14273708—21no—
299#14273706C2311yescharacteristic
300#14273706C2311yescharacteristic
301#14273706C2311yescharacteristic
302#14273706C2311yescharacteristic
303#14273706C2311yescharacteristic
304#14273706C2311yescharacteristic
305#14273705—21no—
306#14273705—21no—
307#14273705—21no—
308#14273705—21no—
309#14273705—21no—
310#14273704—21no—
311#14273704—21no—
312#14273704—21no—
313#14273704—21no—
314#14273703—21no—
315#14273703—21no—
316#14273702—21no—
317#14273702—21no—
318#14273702—21no—
319#14273702—21no—
320#14273702—21no—
321#14273702—21no—
322#14273702—21no—
323#14273702—21no—
324#14273701—21no—
325#14273701—21no—
326#14273701—21no—
327#14273701C2311yescharacteristic
328#14273701C2311yescharacteristic
329#14273701C2311yescharacteristic
330#14273701C2311yescharacteristic
331#14273701C2311yescharacteristic
332#14273701C2311yescharacteristic
333#14273700—21no—
334#14273700—21no—
335#14273700—21no—
336#14273700—21no—
337#14273700—21no—
338#14273700—21no—
339#14273699—21no—
340#14273699—21no—
341#14273699—21no—
342#14273698—21no—
343#14273697—21no—
344#14273697—21no—
345#14273697—21no—
346#14273697—21no—
347#14273697—21no—
348#14273697—21no—
349#14273695—21no—
350#14273695—21no—
351C4×Dic118—21no—
352C4×Dic118—21no—
353C4×Dic118C2311yescharacteristic
354C4×Dic118C2311yescharacteristic
355C4×Dic118C2311yescharacteristic
356C4×Dic118C2311yescharacteristic
357C4×Dic118C2311yescharacteristic
358C4×Dic118C2311yescharacteristic
359C4×Dic118C2311yescharacteristic
360C4×Dic118C2311yescharacteristic
361C4×Dic118C2311yescharacteristic
362C4×Dic118C2311yescharacteristic
363#14273692—21no—
364#14273692—21no—
365#14273692—21no—
366C4×D236—21no—
367C4×D236—21no—
368C4×D236—21no—
369C4×D236C2311yescharacteristic
370C4×D236C2311yescharacteristic
371C4×D236C2311yescharacteristic
372C4×D236C2311yescharacteristic
373C4×D236C2311yescharacteristic
374C4×D236C2311yescharacteristic
375D4×Dic59—21no—
376D4×Dic59—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#14273686C2311yescharacteristic
386#14273685—21no—
387#14273685—21no—
388#14273685—21no—
389#14273684—21no—
390#14273683—21no—
391#14273683—21no—
392#14273683—21no—
393C2×C4⋊Dic59C2311yescharacteristic
394C2×C4⋊Dic59C2311yescharacteristic
395C2×Dic59⋊C4—21no—
396C4⋊C4×D59—21no—
397C4⋊C4×D59—21no—
398C22⋊C4×D59—21no—
399C22⋊C4×D59—21no—
400C2×C4×Dic59—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#14273649C2311yescharacteristic
424#14273649C2311yescharacteristic
425#14273649C2311yescharacteristic
426#14273649C2311yescharacteristic
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#11745689—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—
522#11745685—82no—
523C2×D236—21no—
524C2×D236—21no—
525C2×D236—21no—
526C2×D236—21no—
527C2×D236—21no—
528C2×D236—21no—
529C2×D236—21no—
530C2×D236—21no—
531C2×D236—21no—
532C2×D236—21no—
533C2×D236—41no—
534C2×D236—41no—
535C2×D236—41no—
536C2×D236—41no—
537C2×D236C2411yescharacteristic
538C2×D236C2411yescharacteristic
539C2×D236C2411yescharacteristic
540C2×D236C2411yescharacteristic
541C2×D236C2411yescharacteristic
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—21no—
553C2×Dic118—22no—
554C2×Dic118—22no—
555C2×Dic118—21no—
556C2×Dic118—21no—
557C2×Dic118—21no—
558C2×Dic118—21no—
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—
637C4⋊Dic59—21no—
638C4⋊Dic59—21no—
639C4⋊Dic59—21no—
640C4⋊Dic59—21no—
641C4⋊Dic59—21no—
642C4⋊Dic59—21no—
643C4⋊Dic59—21no—
644C4⋊Dic59—21no—
645C4⋊Dic59C2411yescharacteristic
646C4⋊Dic59C2411yescharacteristic
647C4⋊Dic59C2411yescharacteristic
648C4⋊Dic59C2411yescharacteristic
649C4⋊Dic59C2411yescharacteristic
650C4⋊Dic59C2411yescharacteristic
651Dic59⋊C4—21no—
652Dic59⋊C4—21no—
653Dic59⋊C4—21no—
654Dic59⋊C4—21no—
655Dic59⋊C4—21no—
656Dic59⋊C4—21no—
657Dic59⋊C4—21no—
658Dic59⋊C4—21no—
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—
671C4×Dic59—21no—
672C4×Dic59—21no—
673C4×Dic59—21no—
674C4×Dic59—21no—
675C4×Dic59—21no—
676C4×Dic59—21no—
677C4×Dic59—21no—
678C4×Dic59—21no—
679C4×Dic59—21no—
680C4×Dic59—21no—
681C4×Dic59—21no—
682Dic236—22no—
683Dic236—22no—
684Dic236—41no—
685Dic236—41no—
686Dic236—41no—
687Dic236—41no—
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—81no—
715C22×D59—81no—
716C22×D59—81no—
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—42no—
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—21no—
780D236—42no—
781D236—81no—
782D236—81no—
783D236—81no—
784D236—81no—
785D236—81no—
786D236—81no—
787D236—81no—
788D236—81no—
789D236—81no—
790C4×D59—42no—
791C4×D59—42no—
792C4×D59—42no—
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—42no—
811Dic118—42no—
812Dic118—81no—
813Dic118—81no—
814Dic118H(5,𝔽2)12yes—
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#62085—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—41no—
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—162no—
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—22no—
865Dic59—41no—
866Dic59—41no—
867Dic59—41no—
868Dic59—41no—
869Dic59—41no—
870Dic59—41no—
871Dic59—41no—
872Dic59—41no—
873Dic59—41no—
874Dic59—41no—
875#3546—591no—
876#3516—591no—
877#3402—591no—
878#3397—591no—
879#3377—591no—
880#3368—591no—
881#3333—591no—
882#3322—591no—
883#3315—591no—
884#3314—591no—
885#3310—591no—
886#3309—591no—
887#3278—591no—
888#3275—591no—
889#3271—591no—
890#3269—591no—
891#3266—591no—
892#3265—591no—
893#3262—591no—
894#3258—591no—
895#3251—591no—
896#3224—591no—
897#3222—591no—
898#3219—591no—
899#3124—591no—
900#3121—591no—
901#3112—591no—
902#3045—591no—
903#3043—591no—
904#3037—591no—
905#2995D5911yescharacteristic, complemented
906C2×C59—41no—
907C2×C59—41no—
908C2×C59—41no—
909C2×C59#348811yescharacteristic
910C2×C59#358511yescharacteristic
911C2×C59#358611yescharacteristic
912D59—81no—
913D59—81no—
914D59—81no—
915D59—81no—
916D59—81no—
917C2×#137—591no—
918C2×#137—591no—
919C2×#137—591no—
920C2×AGL(1,ℤ/8)—591no—
921C2×#135—591no—
922C22×SD16—591no—
923#560—1181no—
924#560—1181no—
925#557—591no—
926#556—591no—
927#556—591no—
928#556—1181no—
929#554—591no—
930#554—1181no—
931#553—591no—
932#553—1181no—
933#553—1181no—
934#552—591no—
935#552—1181no—
936#550—591no—
937#550—591no—
938#550—591no—
939D4×Q8—591no—
940#548—591no—
941#548—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#541—591no—
952#541—1181no—
953#538—1181no—
954#538—1181no—
955#537—1181no—
956#535—591no—
957#535—591no—
958#535—1181no—
959#532—591no—
960#532—591no—
961#529—591no—
962#529—1181no—
963#529—1181no—
964#529C2×D5911yescharacteristic
965#520—591no—
966#519—591no—
967C2×C4×Q8—591no—
968#497—591no—
969#497—591no—
970#496—591no—
971#496—591no—
972#495—591no—
973#492—591no—
974#491—591no—
975#490—591no—
976#490—591no—
977#489—591no—
978#488—591no—
979#486—591no—
980#485—591no—
981#484—591no—
982#482—591no—
983#480—591no—
984#480—591no—
985#480—591no—
986#479—591no—
987#478—591no—
988#478—591no—
989#478—591no—
990#477—591no—
991#477—591no—
992#477—591no—
993#475—591no—
994#474—591no—
995#474—591no—
996#470—591no—
997#469—591no—
998#469—591no—
999#468—591no—
1000#468—591no—
1001#468—591no—
1002#468—591no—
1003#468—591no—
1004#467—591no—
1005#467—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#464—591no—
1015#464—591no—
1016#464—591no—
1017#464—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#462—591no—
1027#461—591no—
1028#460—591no—
1029#460—591no—
1030#460—591no—
1031#460—591no—
1032#460—591no—
1033#460—591no—
1034#460—591no—
1035#460—591no—
1036#459—591no—
1037#459—591no—
1038#452—591no—
1039#452—591no—
1040#452—591no—
1041#452—591no—
1042#452—591no—
1043#452—591no—
1044#451—591no—
1045#450—591no—
1046#450—591no—
1047#450—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#441—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×Q16—591no—
1068C4×SD16—591no—
1069C4×D8—591no—
1070#436C2×D5911yescharacteristic, complemented
1071#436C2×D5911yescharacteristic, complemented
1072#435C2×D5911yescharacteristic
1073#435C2×D5911yescharacteristic
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#418—591no—
1083#417—591no—
1084#417—591no—
1085#417—591no—
1086#416—591no—
1087C2×#102—591no—
1088C59#6208511yescharacteristic, complemented, Sylow
1089C2×#41—591no—
1090C2×#41—591no—
1091C2×#41—591no—
1092C2×#41—591no—
1093C2×#41—591no—
1094C2×#41—1181no—
1095C2×#41—1181no—
1096C22×Q8—591no—
1097C22×Q8—591no—
1098C22×D4—591no—
1099C22×D4—591no—
1100C22×D4—1181no—
1101#137—2362no—
1102#137—2362no—
1103#137—2362no—
1104AGL(1,ℤ/8)—2362no—
1105#135—2362no—
1106C2×Q16—591no—
1107C2×Q16—591no—
1108C2×Q16—591no—
1109C2×Q16—591no—
1110C2×Q16—591no—
1111C2×Q16—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—591no—
1125C2×SD16—591no—
1126C2×SD16—2362no—
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—1181no—
1142C4⋊Q8—1181no—
1143#127—591no—
1144#127—591no—
1145#127—591no—
1146#127—591no—
1147#127—1181no—
1148#127—1181no—
1149#126—1181no—
1150#126—1181no—
1151#126—1181no—
1152#126—1181no—
1153#126—1181no—
1154#126—1181no—
1155#126—1181no—
1156#126—1181no—
1157#126—1181no—
1158#126—1181no—
1159#126—1181no—
1160#126—1181no—
1161#126D23611yescharacteristic
1162#126D23611yescharacteristic
1163#125—591no—
1164#125—591no—
1165#125—1181no—
1166#125—1181no—
1167#125—1181no—
1168#125—1181no—
1169#125—1181no—
1170#125—1181no—
1171#125D23611yescharacteristic
1172#124—591no—
1173#124—591no—
1174#124—591no—
1175#124—591no—
1176#124—591no—
1177#124—591no—
1178#124—1181no—
1179#124—1181no—
1180#124—1181no—
1181#124—1181no—
1182#124—1181no—
1183#124—1181no—
1184#124D23611yescharacteristic
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#123D23611yescharacteristic
1196#123D23611yescharacteristic
1197C22⋊Q8—591no—
1198C22⋊Q8—591no—
1199C22⋊Q8—591no—
1200C22⋊Q8—591no—
1201C22⋊Q8—591no—
1202C22⋊Q8—591no—
1203C22⋊Q8—1181no—
1204C22⋊Q8—1181no—
1205C22⋊Q8—1181no—
1206C22⋊Q8—1181no—
1207C22⋊Q8—1181no—
1208C22⋊Q8—1181no—
1209C22⋊Q8—1181no—
1210C22⋊Q8—1181no—
1211C22⋊Q8—1181no—
1212C22⋊Q8—1181no—
1213C22⋊Q8—1181no—
1214C22⋊Q8D23611yescharacteristic
1215#121—591no—
1216#121—591no—
1217#121—591no—
1218#121—591no—
1219#121—591no—
1220#121—591no—
1221#121—1181no—
1222#121—1181no—
1223#121—1181no—
1224#121—1181no—
1225#121—1181no—
1226#121—1181no—
1227#121—1181no—
1228#121—1181no—
1229#121—1181no—
1230#121—1181no—
1231#121—1181no—
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#121D23611yescharacteristic
1243#120—1181no—
1244#120—1181no—
1245#120—1181no—
1246#120—1181no—
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—591no—
1258C4×Q8—591no—
1259C4×Q8—591no—
1260C4×Q8—591no—
1261C4×Q8—1181no—
1262C4×Q8—1181no—
1263C4×Q8—1181no—
1264C4×Q8—1181no—
1265C4×Q8—1181no—
1266C4×Q8C22×D5911yescharacteristic
1267C4×D4—591no—
1268C4×D4—591no—
1269C4×D4—591no—
1270C4×D4—591no—
1271C4×D4—591no—
1272C4×D4—591no—
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#117—1181no—
1295#117—1181no—
1296#117—1181no—
1297#117C22×D5911yescharacteristic
1298#117C22×D5911yescharacteristic
1299C2×C4⋊C4—591no—
1300C2×C4⋊C4—591no—
1301C2×C4⋊C4—1181no—
1302C2×C4⋊C4—1181no—
1303C2×C4⋊C4—1181no—
1304C2×C22⋊C4—1181no—
1305C2×C22⋊C4—1181no—
1306C2×C42—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#102—591no—
1341#102—591no—
1342#102—591no—
1343#102—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—4722no—
1375#41—2361no—
1376#41—2361no—
1377#41—2361no—
1378#41—2361no—
1379#41—2361no—
1380#41—2361no—
1381#41—2361no—
1382#41—2361no—
1383#41—2361no—
1384C2×Q8—591no—
1385C2×Q8—591no—
1386C2×Q8—591no—
1387C2×Q8—591no—
1388C2×Q8—591no—
1389C2×Q8—1182no—
1390C2×Q8—1182no—
1391C2×Q8—1181no—
1392C2×Q8—1181no—
1393C2×Q8—1181no—
1394C2×Q8—1181no—
1395C2×Q8—2361no—
1396C2×Q8—2361no—
1397C2×Q8C2×D23611yescharacteristic
1398C2×D4—591no—
1399C2×D4—591no—
1400C2×D4—591no—
1401C2×D4—591no—
1402C2×D4—591no—
1403C2×D4—1181no—
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—1181no—
1422C2×D4—1181no—
1423C2×D4—1181no—
1424C2×D4—4722no—
1425C2×D4—2361no—
1426C2×D4—2361no—
1427C2×D4—2361no—
1428C2×D4—2361no—
1429C2×D4C2×D23611yescharacteristic
1430C2×D4C2×D23611yescharacteristic
1431C2×D4C2×D23611yescharacteristic
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—1181no—
1447C22×C4C2×D23611yescharacteristic
1448C22×C4C2×D23611yescharacteristic
1449C22×C4C23×D5911yescharacteristic
1450C22×C4C23×D5911yescharacteristic
1451C22×C4C23×D5911yescharacteristic
1452Q16—1182no—
1453Q16—1182no—
1454Q16—2361no—
1455Q16—2361no—
1456Q16—2361no—
1457Q16—2361no—
1458SD16—1182no—
1459SD16—1182no—
1460SD16—1182no—
1461SD16—1182no—
1462SD16—2361no—
1463SD16—2361no—
1464SD16—2361no—
1465SD16—2361no—
1466SD16—2361no—
1467SD16—2361no—
1468SD16—2361no—
1469SD16—2361no—
1470SD16—2361no—
1471SD16—2361no—
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⋊C4C2×D23611yescharacteristic
1566C22⋊C4C2×D23611yescharacteristic
1567C22⋊C4C2×D23611yescharacteristic
1568C22⋊C4C2×D23611yescharacteristic
1569C22⋊C4C2×D23611yescharacteristic
1570C22⋊C4C2×D23611yescharacteristic
1571C22⋊C4C2×D23611yescharacteristic
1572C22⋊C4C2×D23611yescharacteristic
1573C22⋊C4C2×D23611yescharacteristic
1574C22⋊C4C2×D23611yescharacteristic
1575C42—1181no—
1576C42—1181no—
1577C42—1181no—
1578C42—1181no—
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—4721no—
1601C23—4721no—
1602C23—4721no—
1603C23C22×D23611yescharacteristic
1604C23C22×D23611yescharacteristic
1605C23C22×D23611yescharacteristic
1606Q8—41no—
1607Q8—592no—
1608Q8—1181no—
1609Q8—1181no—
1610Q8—1181no—
1611Q8—1181no—
1612Q8—1181no—
1613Q8—1181no—
1614Q8—1181no—
1615Q8—1181no—
1616Q8—1181no—
1617Q8—4721no—
1618Q8—4721no—
1619Q8—2362no—
1620Q8—2362no—
1621D4—41no—
1622D4—41no—
1623D4—41no—
1624D4—1181no—
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—4721no—
1647D4—4721no—
1648D4—4721no—
1649D4—4721no—
1650D4—4721no—
1651D4—4721no—
1652D4—2362no—
1653D4—2362no—
1654D4—2362no—
1655C2×C4—21no—
1656C2×C4—21no—
1657C2×C4—21no—
1658C2×C4—21no—
1659C2×C4—21no—
1660C2×C4—21no—
1661C2×C4—41no—
1662C2×C4—41no—
1663C2×C4—1181no—
1664C2×C4—1181no—
1665C2×C4—1181no—
1666C2×C4—1181no—
1667C2×C4—1181no—
1668C2×C4—1181no—
1669C2×C4—1181no—
1670C2×C4—1181no—
1671C2×C4—1181no—
1672C2×C4—1181no—
1673C2×C4—1181no—
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—2362no—
1685C2×C4—2362no—
1686C2×C4—2362no—
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—9442no—
1719C22—9442no—
1720C22—2361no—
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—1182no—
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—4721no—
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#62085
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. #21438470C2semidirect
2. #21438085C2semidirect
3. #21437177C2semidirect
4. #21437118C2semidirect
5. #21436940C2semidirect
6. #21436827C2semidirect
7. #21436435C2semidirect
8. #21436299C2semidirect
9. #21436194C2semidirect
10. #21436179C2semidirect
11. #21436119C2semidirect
12. #21436104C2semidirect
13. #21435764C2semidirect
14. #21435732C2semidirect
15. #21435686C2semidirect
16. #21435656C2semidirect
17. #21435611C2semidirect
18. #21435596C2semidirect
19. #21435557C2semidirect
20. #21435524C2semidirect
21. #21435459C2semidirect
22. #21435192C2semidirect
23. #21435170C2semidirect
24. #21435135C2semidirect
25. #21434360C2semidirect
26. #21434327C2semidirect
27. #21434219C2semidirect
28. #21433637C2semidirect
29. #21433618C2semidirect
30. #21433570C2semidirect
31. C59×#2995C2semidirect
32. C2×#14273760C22semidirect
33. C2×#14273760C22semidirect
34. C2×#14273760C22semidirect
36. C2×#14273749C22semidirect
40. #16838130C22semidirect
42. #16838125C22semidirect
44. #16838109C22semidirect
47. #16838098C22semidirect
54. D4×Dic118C22semidirect
56. #16838061C22semidirect
64. #16838023C22semidirect
66. #16838014C22semidirect
76. #16837936C22semidirect
79. #16837882C22semidirect
80. #16837879C22semidirect
81. C2×C4×Dic118C22semidirect
83. #16837796C22semidirect
85. #16837791C22semidirect
87. #16837775C22semidirect
88. #16837771C22semidirect
90. #16837767C22semidirect
93. #16837749C22semidirect
94. #16837744C22semidirect
95. #16837738C22semidirect
99. #16837716C22semidirect
100. #16837710C22semidirect
102. #16837703C22semidirect
103. #16837703C22semidirect
104. #16837698C22semidirect
105. #16837698C22semidirect
106. #16837698C22semidirect
107. #16837688C22semidirect
108. #16837683C22semidirect
109. #16837683C22semidirect
110. #16837660C22semidirect
112. #16837655C22semidirect
116. #16837648C22semidirect
117. #16837648C22semidirect
118. #16837643C22semidirect
119. #16837643C22semidirect
125. #16837625C22semidirect
126. #16837625C22semidirect
127. #16837625C22semidirect
128. #16837625C22semidirect
129. #16837625C22semidirect
130. #16837625C22semidirect
131. #16837625C22semidirect
134. #16837618C22semidirect
135. #16837618C22semidirect
136. #16837618C22semidirect
137. #16837618C22semidirect
138. #16837613C22semidirect
139. #16837613C22semidirect
140. #16837613C22semidirect
141. #16837608C22semidirect
147. #16837603C22semidirect
148. #16837603C22semidirect
149. #16837603C22semidirect
151. #16837598C22semidirect
152. #16837566C22semidirect
153. #16837566C22semidirect
154. #16837566C22semidirect
155. #16837566C22semidirect
156. #16837566C22semidirect
157. #16837566C22semidirect
158. #16837560C22semidirect
163. #16837549C22semidirect
164. #16837549C22semidirect
165. #16837549C22semidirect
168. #16837543C22semidirect
170. #16837510C22semidirect
173. #16837504C22semidirect
174. #16837504C22semidirect
175. #16837504C22semidirect
176. #16837504C22semidirect
177. #16837504C22semidirect
178. C4×Dic236C22semidirect
179. C4×Dic236C22semidirect
180. C4×#11745660C22semidirect
181. C4×D472C22semidirect
183. #16837404C22semidirect
184. #16837404C22semidirect
185. #16837404C22semidirect
186. #16837399C22semidirect
189. C59×#446C22semidirect
190. C59×#446C22semidirect
191. C59×#436C22semidirect
192. C59×#436C22semidirect
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
1070. #436C2×D59semidirect
1071. #436C2×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#62085semidirect

Maximal subgroups

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

subgroupindex
#214384702
#214380852
#214371772
#214371182
#214369402
#214368272
#214364352
#214362992
#214361942
#214361792
#214361192
#214361042
#214357642
#214357322
#214356862
#214356562
#214356112
#214355962
#214355572
#214355242
#214354592
#214351922
#214351702
#214351352
#214343602
#214343272
#214342192
#214336372
#214336182
#214335702
C59×#29952
#6208559