Finite Group Databasebeta

← #29481240

Subgroups — #29481240

Order 15104.

1930 conjugacy classes of subgroups.

The subgroup lattice has 1806 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21438057C211yesmaximal, characteristic, complemented
2#21437706C211yesmaximal, characteristic, complemented
3#21437186C211yesmaximal, characteristic, complemented
4#21437164C211yesmaximal, characteristic, complemented
5#21436925C211yesmaximal, characteristic, complemented
6#21436851C211yesmaximal, characteristic, complemented
7#21436351C211yesmaximal, characteristic, complemented
8#21436299C211yesmaximal, characteristic, complemented
9#21436269C211yesmaximal, characteristic, complemented
10#21436239C211yesmaximal, characteristic, complemented
11#21436209C211yesmaximal, characteristic, complemented
12#21436179C211yesmaximal, characteristic, complemented
13#21435732C211yesmaximal, characteristic, complemented
14#21435708C211yesmaximal, characteristic, complemented
15#21435611C211yesmaximal, characteristic, complemented
16#21435596C211yesmaximal, characteristic, complemented
17#21435581C211yesmaximal, characteristic, complemented
18#21435581C211yesmaximal, characteristic, complemented
19#21435497C211yesmaximal, characteristic, complemented
20#21435459C211yesmaximal, characteristic, complemented
21#21435448C211yesmaximal, characteristic, complemented
22#21435135C211yesmaximal, characteristic, complemented
23#21435085C211yesmaximal, characteristic, complemented
24#21435063C211yesmaximal, characteristic, complemented
25#21434236C211yesmaximal, characteristic, complemented
26#21434207C211yesmaximal, characteristic, complemented
27#21434145C211yesmaximal, characteristic, complemented
28#21433591C211yesmaximal, characteristic, complemented
29#21433562C211yesmaximal, characteristic, complemented
30C2×#16837618C211yesmaximal, characteristic, complemented
31C59×#2989C211yesmaximal, characteristic, complemented
32C2×#14273760C2211yescharacteristic, complemented
33C2×#14273755C2211yescharacteristic
34C2×#14273755C2211yescharacteristic, complemented
35C2×#14273755C2211yescharacteristic, complemented
36C22×#11745660C2211yescharacteristic, complemented
37C22×D472C2211yescharacteristic
38#16838137C2211yescharacteristic, complemented
39#16838137C2211yescharacteristic, complemented
40#16838125C2211yescharacteristic, complemented
41#16838115—21no—
42#16838112C2211yescharacteristic, complemented
43#16838109C2211yescharacteristic, complemented
44#16838098C2211yescharacteristic
45#16838098C2211yescharacteristic, complemented
46#16838096—21no—
47#16838076—21no—
48#16838076—21no—
49#16838076—21no—
50#16838076—21no—
51D4×Dic118C2211yescharacteristic, complemented
52#16838061C2211yescharacteristic
53#16838061C2211yescharacteristic, complemented
54#16838048C2211yescharacteristic
55#16838048C2211yescharacteristic
56#16838048C2211yescharacteristic, complemented
57#16838048C2211yescharacteristic, complemented
58#16838040—21no—
59#16838040—21no—
60D4×D236C2211yescharacteristic, complemented
61D4×D236C2211yescharacteristic, complemented
62#16838024—21no—
63#16837985—21no—
64#16837985—21no—
65#16837952C2211yescharacteristic, complemented
66#16837952C2211yescharacteristic, complemented
67#16837939—21no—
68#16837936C2211yescharacteristic, complemented
69#16837936C2211yescharacteristic, complemented
70#16837936C2211yescharacteristic, complemented
71#16837936C2211yescharacteristic, complemented
72#16837936C2211yescharacteristic, complemented
73C2×#14273715C2211yescharacteristic, complemented
74C2×#14273715C2211yescharacteristic, complemented
75#16837911—21no—
76#16837911—21no—
77#16837874—21no—
78C4×#11745685C2211yescharacteristic, complemented
79C2×C4×D236C2211yescharacteristic, complemented
80C2×C4×D236C2211yescharacteristic, complemented
81C4×D4×D59—21no—
82#16837796C2211yescharacteristic, complemented
83#16837791C2211yescharacteristic
84#16837791C2211yescharacteristic, complemented
85#16837791C2211yescharacteristic, complemented
86#16837786C2211yescharacteristic, complemented
87#16837786C2211yescharacteristic, complemented
88#16837771C2211yescharacteristic, complemented
89#16837767C2211yescharacteristic, complemented
90#16837762C2211yescharacteristic, complemented
91#16837762C2211yescharacteristic, complemented
92#16837757C2211yescharacteristic, complemented
93#16837757C2211yescharacteristic, complemented
94#16837744C2211yescharacteristic, complemented
95#16837738C2211yescharacteristic, complemented
96#16837733C2211yescharacteristic, complemented
97#16837727C2211yescharacteristic, complemented
98#16837721C2211yescharacteristic, complemented
99#16837716C2211yescharacteristic, complemented
100#16837710C2211yescharacteristic, complemented
101#16837710C2211yescharacteristic, complemented
102#16837710C2211yescharacteristic, complemented
103#16837703C2211yescharacteristic, complemented
104#16837703C2211yescharacteristic, complemented
105#16837703C2211yescharacteristic, complemented
106#16837703C2211yescharacteristic, complemented
107#16837703C2211yescharacteristic, complemented
108#16837688C2211yescharacteristic, complemented
109#16837683C2211yescharacteristic, complemented
110#16837660C2211yescharacteristic, complemented
111#16837655C2211yescharacteristic
112#16837655C2211yescharacteristic, complemented
113#16837655C2211yescharacteristic, complemented
114#16837648C2211yescharacteristic, complemented
115#16837648C2211yescharacteristic, complemented
116#16837648C2211yescharacteristic, complemented
117#16837648C2211yescharacteristic, complemented
118#16837643C2211yescharacteristic, complemented
119#16837638C2211yescharacteristic
120#16837631C2211yescharacteristic, complemented
121#16837631C2211yescharacteristic, complemented
122#16837625C2211yescharacteristic, complemented
123#16837625C2211yescharacteristic, complemented
124#16837625C2211yescharacteristic, complemented
125#16837625C2211yescharacteristic, complemented
126#16837625C2211yescharacteristic, complemented
127#16837625C2211yescharacteristic, complemented
128#16837625C2211yescharacteristic, complemented
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#16837618C2211yescharacteristic, complemented
139#16837618C2211yescharacteristic, complemented
140#16837618C2211yescharacteristic, complemented
141#16837618C2211yescharacteristic, complemented
142#16837618C2211yescharacteristic, complemented
143#16837618C2211yescharacteristic, complemented
144#16837618C2211yescharacteristic, complemented
145#16837618C2211yescharacteristic, complemented
146#16837608C2211yescharacteristic, complemented
147#16837608C2211yescharacteristic, complemented
148#16837603C2211yescharacteristic, complemented
149#16837598C2211yescharacteristic
150#16837598C2211yescharacteristic, complemented
151#16837598C2211yescharacteristic, complemented
152#16837566C2211yescharacteristic, complemented
153#16837566C2211yescharacteristic, complemented
154#16837566C2211yescharacteristic, complemented
155#16837560C2211yescharacteristic, complemented
156#16837555C2211yescharacteristic, complemented
157#16837555C2211yescharacteristic, complemented
158#16837555C2211yescharacteristic, complemented
159#16837549C2211yescharacteristic
160#16837549C2211yescharacteristic, complemented
161#16837549C2211yescharacteristic, complemented
162#16837543C2211yescharacteristic, complemented
163#16837543C2211yescharacteristic, complemented
164#16837543C2211yescharacteristic, complemented
165#16837538C2211yescharacteristic
166#16837538C2211yescharacteristic
167#16837538C2211yescharacteristic
168#16837538C2211yescharacteristic, complemented
169#16837538C2211yescharacteristic, complemented
170#16837515C2211yescharacteristic
171#16837515C2211yescharacteristic, complemented
172#16837515C2211yescharacteristic, complemented
173#16837510C2211yescharacteristic, complemented
174#16837504C2211yescharacteristic, complemented
175#16837504C2211yescharacteristic, complemented
176#16837504C2211yescharacteristic, complemented
177#16837504C2211yescharacteristic, complemented
178C4×#11745660C2211yescharacteristic, complemented
179C4×#11745660C2211yescharacteristic, complemented
180C4×D472C2211yescharacteristic, complemented
181C4×D472C2211yescharacteristic, complemented
182#16837412C2211yescharacteristic, complemented
183#16837408C2211yescharacteristic, complemented
184#16837404C2211yescharacteristic, complemented
185#16837404C2211yescharacteristic, complemented
186C2×#14273652C2211yescharacteristic, complemented
187C2×#14273649C2211yescharacteristic, complemented
188C4×#41×C59C2211yescharacteristic
189C59×#446C2211yescharacteristic, complemented
190C59×#446C2211yescharacteristic, complemented
191C59×#436C2211yescharacteristic, complemented
192C59×#436C2211yescharacteristic, complemented
193C59×#435C2211yescharacteristic, complemented
194C59×#435C2211yescharacteristic, complemented
195C59×#435C2211yescharacteristic, complemented
196C59×#435C2211yescharacteristic, complemented
197C59×#432C2211yescharacteristic, complemented
198C59×#432C2211yescharacteristic, complemented
199C59×#431C2211yescharacteristic, complemented
200C59×#423C2211yescharacteristic, complemented
201C59×#423C2211yescharacteristic, complemented
202C2×C4⋊C8×C59C2211yescharacteristic, complemented
203C2×#11745685—21no—
204C2×#11745685C2311yescharacteristic
205C2×#11745685C2311yescharacteristic
206C2×#11745685C2311yescharacteristic
207C22×Dic118C2311yescharacteristic
208C22×Dic118C2311yescharacteristic
209C22×D236C2311yescharacteristic
210C22×D236C2311yescharacteristic
211C22×D236C2311yescharacteristic
212C22×D236C2311yescharacteristic
213C2×D4×D59—21no—
214C2×D4×D59—21no—
215C22×C4×D59—21no—
216C22×C4×D59—21no—
217#14273760—42no—
218#14273755—42no—
219#14273755—42no—
220#14273755—42no—
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×D472—42no—
238C2×D472C2311yescharacteristic
239C2×D472C2311yescharacteristic
240C2×D472C2311yescharacteristic
241C2×D472C2311yescharacteristic
242C2×D472C2311yescharacteristic
243C2×D472C2311yescharacteristic
244C2×D472C2311yescharacteristic
245C2×D472C2311yescharacteristic
246C2×D472C2311yescharacteristic
247#14273727C2311yescharacteristic
248#14273727C2311yescharacteristic
249#14273726—21no—
250#14273724C2311yescharacteristic
251#14273724C2311yescharacteristic
252#14273722—21no—
253#14273722—21no—
254#14273722—21no—
255#14273722—21no—
256#14273721—21no—
257#14273721—21no—
258#14273721—21no—
259#14273721—21no—
260#14273721—21no—
261#14273719C2311yescharacteristic
262#14273719C2311yescharacteristic
263#14273719C2311yescharacteristic
264#14273718—21no—
265#14273716—21no—
266#14273716—21no—
267#14273715—21no—
268#14273715—21no—
269#14273715—21no—
270#14273715—21no—
271#14273715—21no—
272#14273715C2311yescharacteristic
273#14273715C2311yescharacteristic
274#14273715C2311yescharacteristic
275#14273715C2311yescharacteristic
276#14273715C2311yescharacteristic
277#14273715C2311yescharacteristic
278#14273715C2311yescharacteristic
279#14273715C2311yescharacteristic
280#14273715C2311yescharacteristic
281#14273713—21no—
282#14273713—21no—
283#14273712—21no—
284#14273712—21no—
285#14273712—21no—
286#14273712—21no—
287#14273712—21no—
288#14273712—21no—
289#14273712—21no—
290#14273712—21no—
291#14273710—21no—
292#14273710—21no—
293#14273710—21no—
294#14273710—21no—
295#14273710—21no—
296#14273709—21no—
297#14273709—21no—
298#14273706C2311yescharacteristic
299#14273706C2311yescharacteristic
300#14273706C2311yescharacteristic
301#14273706C2311yescharacteristic
302#14273706C2311yescharacteristic
303#14273705—21no—
304#14273705—21no—
305#14273705—21no—
306#14273705—21no—
307#14273704—21no—
308#14273704—21no—
309#14273704—21no—
310#14273704—21no—
311#14273703—21no—
312#14273703—21no—
313#14273702—21no—
314#14273702—21no—
315#14273701—21no—
316#14273701—21no—
317#14273701—21no—
318#14273701C2311yescharacteristic
319#14273701C2311yescharacteristic
320#14273701C2311yescharacteristic
321#14273701C2311yescharacteristic
322#14273701C2311yescharacteristic
323#14273701C2311yescharacteristic
324#14273701C2311yescharacteristic
325#14273700—21no—
326#14273700—21no—
327#14273700—21no—
328#14273700—21no—
329#14273699—21no—
330#14273699—21no—
331#14273699—21no—
332#14273699—21no—
333#14273697—21no—
334#14273697—21no—
335#14273697—21no—
336#14273697—21no—
337#14273695—21no—
338#14273695—21no—
339#14273695—21no—
340#14273695—21no—
341C4×Dic118C2311yescharacteristic
342C4×Dic118C2311yescharacteristic
343C4×Dic118C2311yescharacteristic
344C4×Dic118C2311yescharacteristic
345C4×Dic118C2311yescharacteristic
346C4×D236—21no—
347C4×D236—21no—
348C4×D236—21no—
349C4×D236—21no—
350C4×D236—21no—
351C4×D236—21no—
352C4×D236—21no—
353C4×D236C2311yescharacteristic
354C4×D236C2311yescharacteristic
355C4×D236C2311yescharacteristic
356C4×D236C2311yescharacteristic
357C4×D236C2311yescharacteristic
358C4×D236C2311yescharacteristic
359C4×D236C2311yescharacteristic
360C4×D236C2311yescharacteristic
361C4×D236C2311yescharacteristic
362C4×D236C2311yescharacteristic
363C4×D236C2311yescharacteristic
364D4×Dic59—21no—
365D4×Dic59—21no—
366#14273689—21no—
367#14273689—21no—
368C4×C22⋊D59—21no—
369C4×C22⋊D59—21no—
370C4×C22⋊D59—21no—
371C4×C22⋊D59—21no—
372C4×C22⋊D59—21no—
373C4×C22⋊D59—21no—
374C4×C22⋊D59—21no—
375(C22⋊D59)⋊C4—21no—
376(C22⋊D59)⋊C4—21no—
377(C22⋊D59)⋊C4—21no—
378(C22⋊D59)⋊C4—21no—
379#14273686C2311yescharacteristic
380#14273685—21no—
381#14273684—21no—
382#14273684—21no—
383#14273684—21no—
384#14273684—21no—
385#14273684—21no—
386#14273684—21no—
387C2×C4⋊Dic59C2311yescharacteristic
388C2×C4⋊Dic59C2311yescharacteristic
389C4⋊C4×D59—21no—
390C2×(C2×D59)⋊C4—21no—
391C2×(C2×D59)⋊C4—21no—
392C2×(C2×D59)⋊C4—21no—
393C2×(C2×D59)⋊C4—21no—
394C2×(C2×D59)⋊C4—21no—
395C2×(C2×D59)⋊C4—21no—
396C22⋊C4×D59—21no—
397C22⋊C4×D59—21no—
398C22⋊C4×D59—21no—
399C22⋊C4×D59—21no—
400C42×D59—21no—
401#14273661C2311yescharacteristic
402#14273661C2311yescharacteristic
403#14273661C2311yescharacteristic
404#14273661C2311yescharacteristic
405#14273659C2311yescharacteristic
406#14273659C2311yescharacteristic
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×#41×C59D411yescharacteristic
442C2×M16×C59C2311yescharacteristic
443C2×M16×C59C2311yescharacteristic
444C2×M16×C59C2311yescharacteristic
445C2×M16×C59C2311yescharacteristic
446C22×C8×C59C2311yescharacteristic
447C22×C8×C59C2311yescharacteristic
448C4×Q8×C59D411yescharacteristic
449C4×Q8×C59C2311yescharacteristic
450C4×D4×C59D411yescharacteristic
451C4×D4×C59D411yescharacteristic
452C4×D4×C59D411yescharacteristic
453C4×D4×C59C2311yescharacteristic
454C4×D4×C59C2311yescharacteristic
455C4×D4×C59C2311yescharacteristic
456#117×C59D411yescharacteristic
457#117×C59D411yescharacteristic
458#117×C59D411yescharacteristic
459C2×C42×C59C2311yescharacteristic
460C2×C42×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—
486C23×D59—21no—
487C23×D59—21no—
488#41×C59—42no—
489C2×Q8×C59C2×D411yescharacteristic
490C2×D4×C59C2×D411yescharacteristic
491C2×D4×C59C2×D411yescharacteristic
492C2×D4×C59C2×D411yescharacteristic
493C22×C4×C59C2×D411yescharacteristic
494C22×C4×C59C2×D411yescharacteristic
495C22×C4×C59C2×D411yescharacteristic
496C22×C4×C59C2×D411yescharacteristic
497C22×C4×C59C2×D411yescharacteristic
498C22×C4×C59C2×D411yescharacteristic
499C22×C4×C59C2411yescharacteristic
500C22×C4×C59C2411yescharacteristic
501C22×C4×C59C2411yescharacteristic
502C2×C22⋊D59—21no—
503C2×C22⋊D59—21no—
504C2×C22⋊D59—21no—
505C2×C22⋊D59—21no—
506C2×C22⋊D59—21no—
507C2×C22⋊D59—21no—
508C2×C22⋊D59—21no—
509C2×C22⋊D59—21no—
510C2×C22⋊D59—21no—
511C2×C22⋊D59—21no—
512C22×Dic59—21no—
513C22×Dic59—21no—
514C22×Dic59—21no—
515C22×Dic59—21no—
516D4×D59—44no—
517D4×D59—44no—
518#11745685—22no—
519#11745685—41no—
520#11745685—41no—
521#11745685—41no—
522#11745685—41no—
523#11745685—41no—
524#11745685—82no—
525C2×D236—22no—
526C2×D236—22no—
527C2×D236—21no—
528C2×D236—21no—
529C2×D236—21no—
530C2×D236—21no—
531C2×D236—21no—
532C2×D236—21no—
533C2×D236—21no—
534C2×D236—21no—
535C2×D236—41no—
536C2×D236—41no—
537C2×D236—41no—
538C2×D236—41no—
539C2×D236—41no—
540C2×D236—41no—
541C2×D236C2411yescharacteristic
542C2×D236C2411yescharacteristic
543C2×D236C2411yescharacteristic
544C2×D236C2411yescharacteristic
545C2×D236C2411yescharacteristic
546C2×D236C2411yescharacteristic
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×C4×D59—21no—
554C2×C4×D59—21no—
555C2×C4×D59—21no—
556C2×C4×D59—21no—
557C2×C4×D59—21no—
558C2×C4×D59—21no—
559C2×C4×D59—21no—
560C2×C4×D59—21no—
561C2×C4×D59—82no—
562C2×C4×D59—82no—
563C2×Dic118—21no—
564C2×Dic118—21no—
565C2×Dic118—21no—
566C2×Dic118—41no—
567C2×Dic118—41no—
568C2×Dic118—41no—
569C2×Dic118—41no—
570C2×Dic118C2411yescharacteristic
571C2×Dic118C2411yescharacteristic
572C2×Dic118C2411yescharacteristic
573C2×Dic118C2411yescharacteristic
574M16×C59—41no—
575M16×C59—41no—
576M16×C59—41no—
577M16×C59—41no—
578C2×C8×C59—41no—
579C2×C8×C59—41no—
580C2×C8×C59C2411yescharacteristic
581C2×C8×C59C2411yescharacteristic
582C2×C8×C59C2411yescharacteristic
583C2×C8×C59C2411yescharacteristic
584C2×C8×C59C2411yescharacteristic
585C2×C8×C59C2411yescharacteristic
586C2×C8×C59C2411yescharacteristic
587C2×C8×C59C2411yescharacteristic
588C4⋊C4×C59C2×D411yescharacteristic
589C4⋊C4×C59C2×D411yescharacteristic
590C4⋊C4×C59C2×D411yescharacteristic
591C4⋊C4×C59C2×D411yescharacteristic
592C4⋊C4×C59C2×D411yescharacteristic
593C4⋊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×C59C2×D411yescharacteristic
603C42×C59C2×D411yescharacteristic
604C42×C59C2×D411yescharacteristic
605C42×C59C2×D411yescharacteristic
606C42×C59C2411yescharacteristic
607C42×C59C2411yescharacteristic
608C42×C59C2411yescharacteristic
609C42×C59C2411yescharacteristic
610C22⋊Dic59—21no—
611C22⋊Dic59—21no—
612C22⋊Dic59—21no—
613C22⋊Dic59—21no—
614C22⋊Dic59—21no—
615C22⋊Dic59—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—
641(C2×D59)⋊C4—21no—
642(C2×D59)⋊C4—21no—
643(C2×D59)⋊C4—21no—
644(C2×D59)⋊C4—21no—
645(C2×D59)⋊C4—21no—
646(C2×D59)⋊C4—21no—
647(C2×D59)⋊C4—21no—
648(C2×D59)⋊C4—21no—
649(C2×D59)⋊C4—21no—
650(C2×D59)⋊C4—21no—
651(C2×D59)⋊C4—21no—
652C4⋊Dic59—21no—
653C4⋊Dic59—21no—
654C4⋊Dic59—21no—
655C4⋊Dic59—21no—
656C4⋊Dic59—21no—
657C4⋊Dic59C2411yescharacteristic
658C4⋊Dic59C2411yescharacteristic
659C4⋊Dic59C2411yescharacteristic
660C4⋊Dic59C2411yescharacteristic
661C4⋊Dic59C2411yescharacteristic
662C4⋊Dic59C2411yescharacteristic
663Dic59⋊C4—21no—
664Dic59⋊C4—21no—
665Dic59⋊C4—21no—
666Dic59⋊C4—21no—
667Dic59⋊C4—21no—
668Dic59⋊C4—21no—
669Dic59⋊C4—21no—
670Dic59⋊C4—21no—
671Dic59⋊C4—21no—
672Dic59⋊C4—21no—
673Dic59⋊C4—21no—
674Dic59⋊C4—21no—
675Dic59⋊C4—21no—
676Dic59⋊C4—21no—
677Dic59⋊C4—21no—
678Dic59⋊C4—21no—
679C4×Dic59—21no—
680C4×Dic59—21no—
681C4×Dic59—21no—
682C4×Dic59—21no—
683C4×Dic59—21no—
684C4×Dic59—21no—
685Dic236—41no—
686Dic236—41no—
687Dic236—41no—
688D472—22no—
689D472—22no—
690D472—22no—
691D472—41no—
692D472—41no—
693D472—41no—
694D472—41no—
695D472—41no—
696D472—41no—
697#11745660—22no—
698#11745660—22no—
699#11745660—22no—
700#11745660—41no—
701#11745660—41no—
702#11745660—41no—
703#11745660—41no—
704#11745660—41no—
705#11745660—41no—
706#11745660—41no—
707#11745660—41no—
708#11745660—41no—
709C23×C59C22×D411yescharacteristic
710C23×C59C22×D411yescharacteristic
711C23×C59C22×D411yescharacteristic
712C22×D59—21no—
713C22×D59—21no—
714C22×D59—21no—
715C22×D59—21no—
716C22×D59—21no—
717C22×D59—21no—
718C22×D59—42no—
719C22×D59—42no—
720C22×D59—42no—
721C22×D59—42no—
722C22×D59—42no—
723C22×D59—42no—
724C22×D59—81no—
725C22×D59—81no—
726C22×D59—81no—
727C22×D59—81no—
728C22×D59—81no—
729C22×D59—81no—
730Q8×C59—41no—
731D4×C59—22no—
732D4×C59—22no—
733D4×C59—41no—
734C2×C4×C59—22no—
735C2×C4×C59—21no—
736C2×C4×C59—21no—
737C2×C4×C59—21no—
738C2×C4×C59—21no—
739C2×C4×C59—21no—
740C2×C4×C59—21no—
741C2×C4×C59—41no—
742C2×C4×C59—41no—
743C2×C4×C59—41no—
744C2×C4×C59—41no—
745C2×C4×C59—41no—
746C2×C4×C59C22×D411yescharacteristic
747C2×C4×C59C22×D411yescharacteristic
748C2×C4×C59C22×D411yescharacteristic
749C2×C4×C59C22×D411yescharacteristic
750C2×C4×C59C22×D411yescharacteristic
751C2×C4×C59C22×D411yescharacteristic
752C2×C4×C59C22×D411yescharacteristic
753C2×C4×C59C22×D411yescharacteristic
754C2×C4×C59C22×D411yescharacteristic
755C2×C4×C59C22×D411yescharacteristic
756C2×C4×C59C22×D411yescharacteristic
757C2×C4×C59C2511yescharacteristic
758C22⋊D59—42no—
759C22⋊D59—42no—
760C22⋊D59—42no—
761C22⋊D59—42no—
762C22⋊D59—42no—
763C22⋊D59—81no—
764C22⋊D59—81no—
765C22⋊D59—81no—
766C22⋊D59—81no—
767C22⋊D59—81no—
768C2×Dic59—21no—
769C2×Dic59—21no—
770C2×Dic59—21no—
771C2×Dic59—21no—
772C2×Dic59—21no—
773C2×Dic59—21no—
774C2×Dic59—21no—
775C2×Dic59—21no—
776C2×Dic59—21no—
777C2×Dic59—21no—
778C2×Dic59—81no—
779C2×Dic59—81no—
780C2×Dic59—81no—
781C2×Dic59—81no—
782D236—21no—
783D236—21no—
784D236—21no—
785D236—21no—
786D236—21no—
787D236—21no—
788D236—21no—
789D236—21no—
790D236—21no—
791D236—21no—
792D236—21no—
793D236—42no—
794D236—42no—
795D236—42no—
796D236—42no—
797D236—81no—
798D236—81no—
799D236—81no—
800D236—81no—
801D236H(5,𝔽2)12yes—
802C4×D59—42no—
803C4×D59—42no—
804C4×D59—42no—
805C4×D59—42no—
806C4×D59—42no—
807C4×D59—42no—
808C4×D59—81no—
809C4×D59—81no—
810C4×D59—81no—
811C4×D59—81no—
812C4×D59—81no—
813C4×D59—81no—
814C4×D59—81no—
815C4×D59—81no—
816Dic118—21no—
817Dic118—21no—
818Dic118—21no—
819Dic118—21no—
820Dic118—21no—
821Dic118—21no—
822Dic118—21no—
823Dic118—21no—
824Dic118—81no—
825Dic118—81no—
826Dic118—81no—
827C8×C59—21no—
828C8×C59—21no—
829C8×C59—21no—
830C8×C59—21no—
831C8×C59—21no—
832C8×C59—21no—
833C8×C59—21no—
834C8×C59—21no—
835#61971—591nomaximal, Sylow
836C22×C59—21no—
837C22×C59—21no—
838C22×C59—21no—
839C22×C59—21no—
840C22×C59—21no—
841C22×C59—21no—
842C22×C59—21no—
843C22×C59—21no—
844C22×C59#57512yes—
845C22×C59C23×D411yescharacteristic
846C2×D59—22no—
847C2×D59—41no—
848C2×D59—41no—
849C2×D59—41no—
850C2×D59—41no—
851C2×D59—41no—
852C2×D59—41no—
853C2×D59—41no—
854C2×D59—41no—
855C2×D59—41no—
856C2×D59—41no—
857C2×D59—41no—
858C2×D59—41no—
859C2×D59—41no—
860C2×D59—41no—
861C2×D59—41no—
862C2×D59—41no—
863C2×D59—41no—
864C2×D59—84no—
865C2×D59—84no—
866C2×D59—162no—
867C2×D59—162no—
868C4×C59—21no—
869C4×C59—21no—
870C4×C59—21no—
871C4×C59—21no—
872C4×C59—21no—
873C4×C59—21no—
874C4×C59—21no—
875C4×C59—21no—
876C4×C59—21no—
877C4×C59—21no—
878C4×C59—21no—
879C4×C59C2×H(5,𝔽2)11yescharacteristic
880C4×C59#58511yescharacteristic
881Dic59—41no—
882Dic59—41no—
883Dic59—41no—
884Dic59—41no—
885Dic59—41no—
886Dic59—41no—
887Dic59—41no—
888Dic59—41no—
889Dic59—41no—
890Dic59—41no—
891#3514—591no—
892#3481—591no—
893#3403—591no—
894#3401—591no—
895#3376—591no—
896#3370—591no—
897#3326—591no—
898#3322—591no—
899#3320—591no—
900#3318—591no—
901#3316—591no—
902#3314—591no—
903#3275—591no—
904#3273—591no—
905#3266—591no—
906#3265—591no—
907#3264—591no—
908#3264—591no—
909#3256—591no—
910#3251—591no—
911#3250—591no—
912#3219—591no—
913#3213—591no—
914#3211—591no—
915#3114—591no—
916#3111—591no—
917#3105—591no—
918#3040—591no—
919#3036—591no—
920C2×#463—591no—
921#2989D5911yescharacteristic, complemented
922C2×C59—22no—
923C2×C59—41no—
924C2×C59—41no—
925C2×C59#348811yescharacteristic
926C2×C59C2×#57511yescharacteristic
927C2×C59#358511yescharacteristic
928D59—42no—
929D59—81no—
930D59—81no—
931D59—81no—
932D59—81no—
933D59—81no—
934C2×#137—591no—
935C2×AGL(1,ℤ/8)—591no—
936C2×AGL(1,ℤ/8)—591no—
937C2×AGL(1,ℤ/8)—591no—
938C22×SD16—591no—
939C22×D8—591no—
940#559—591no—
941#559—591no—
942#556—591no—
943#555—1181no—
944#554—591no—
945#554—591no—
946#553—591no—
947#553—591no—
948#553—1181no—
949#551—1181no—
950#551—1181no—
951#551—1181no—
952#551—1181no—
953D4×Q8—591no—
954#548—591no—
955#548—591no—
956#546—591no—
957#546—591no—
958#546—591no—
959#546—591no—
960#546—1181no—
961#546—1181no—
962D42—591no—
963D42—591no—
964#542—1181no—
965#538—1181no—
966#538—1181no—
967#532—591no—
968#532—591no—
969#529—591no—
970#529—591no—
971#529—591no—
972#529—591no—
973#529—591no—
974#529—1181no—
975C2×#124—591no—
976C2×#124—591no—
977#525—1181no—
978#525—1181no—
979#518—1181no—
980C4×#41—591no—
981C4×#41C2×D5911yescharacteristic
982C2×C4×D4—591no—
983C2×C4×D4—591no—
984C2×C4×D4—1181no—
985#497—591no—
986#496—591no—
987#496—591no—
988#496—591no—
989#495—591no—
990#495—591no—
991#491—591no—
992#490—591no—
993#489—591no—
994#489—591no—
995#488—591no—
996#488—591no—
997#485—591no—
998#484—591no—
999#483—591no—
1000#482—591no—
1001#481—591no—
1002#480—591no—
1003#479—591no—
1004#479—591no—
1005#479—591no—
1006#478—591no—
1007#478—591no—
1008#478—591no—
1009#478—591no—
1010#478—591no—
1011#475—591no—
1012#474—591no—
1013#470—591no—
1014#469—591no—
1015#469—591no—
1016#469—591no—
1017#468—591no—
1018#468—591no—
1019#468—591no—
1020#468—591no—
1021#467—591no—
1022#466—591no—
1023#465—591no—
1024#465—591no—
1025#464—591no—
1026#464—591no—
1027#464—591no—
1028#464—591no—
1029#464—591no—
1030#464—591no—
1031#464—591no—
1032#463—591no—
1033#463—591no—
1034#463—591no—
1035#463—591no—
1036#463—591no—
1037#463—591no—
1038#463—591no—
1039#463—591no—
1040#463—591no—
1041#463—591no—
1042#463—591no—
1043#463—591no—
1044#463—591no—
1045#463—591no—
1046#463—591no—
1047#463—591no—
1048#463—591no—
1049#461—591no—
1050#461—591no—
1051#460—591no—
1052#459—591no—
1053#459—591no—
1054#459—591no—
1055#452—591no—
1056#452—591no—
1057#452—591no—
1058#451—591no—
1059#450—591no—
1060#450—591no—
1061#450—591no—
1062#449—591no—
1063#449—591no—
1064#449—591no—
1065#448—591no—
1066#448—591no—
1067#448—591no—
1068#447—591no—
1069#447—591no—
1070#447—591no—
1071#447—591no—
1072#447—591no—
1073#446C2×D5911yescharacteristic, complemented
1074#446C2×D5911yescharacteristic, complemented
1075#442—591no—
1076#442—591no—
1077#442—591no—
1078#441—591no—
1079#440—591no—
1080#440—591no—
1081#440—591no—
1082#440—591no—
1083C4×SD16—591no—
1084C4×SD16—591no—
1085C4×D8—591no—
1086C4×D8—591no—
1087#436C2×D5911yescharacteristic, complemented
1088#436C2×D5911yescharacteristic, complemented
1089#435C2×D5911yescharacteristic, complemented
1090#435C2×D5911yescharacteristic, complemented
1091#435C2×D5911yescharacteristic, complemented
1092#435C2×D5911yescharacteristic, complemented
1093#432C2×D5911yescharacteristic, complemented
1094#432C2×D5911yescharacteristic, complemented
1095#431C2×D5911yescharacteristic, complemented
1096#423C2×D5911yescharacteristic, complemented
1097#423C2×D5911yescharacteristic, complemented
1098C2×C4⋊C8C2×D5911yescharacteristic, complemented
1099#419—591no—
1100#418—591no—
1101#417—591no—
1102#417—591no—
1103C2×#103—591no—
1104C2×#102—591no—
1105C59#6197111yescharacteristic, complemented, Sylow
1106C2×#41—591no—
1107C2×#41—591no—
1108C2×#41—591no—
1109C2×#41—1181no—
1110C2×#41D23611yescharacteristic
1111C22×Q8—591no—
1112C22×Q8—591no—
1113C22×D4—591no—
1114C22×D4—591no—
1115C22×D4—591no—
1116C22×D4—591no—
1117C22×D4—1181no—
1118C22×D4—1181no—
1119C23×C4—1181no—
1120C23×C4—1181no—
1121#137—2362no—
1122AGL(1,ℤ/8)—2362no—
1123AGL(1,ℤ/8)—2362no—
1124AGL(1,ℤ/8)—2362no—
1125C2×Q16—591no—
1126C2×Q16—591no—
1127C2×Q16—591no—
1128C2×SD16—591no—
1129C2×SD16—591no—
1130C2×SD16—591no—
1131C2×SD16—591no—
1132C2×SD16—591no—
1133C2×SD16—591no—
1134C2×SD16—591no—
1135C2×SD16—591no—
1136C2×SD16—591no—
1137C2×SD16—591no—
1138C2×SD16—591no—
1139C2×SD16—591no—
1140C2×SD16—2362no—
1141C2×D8—591no—
1142C2×D8—591no—
1143C2×D8—591no—
1144C2×D8—591no—
1145C2×D8—591no—
1146C2×D8—591no—
1147C2×D8—591no—
1148C2×D8—591no—
1149C2×D8—591no—
1150C2×D8—2362no—
1151C2×M16C22×D5911yescharacteristic
1152C2×M16C22×D5911yescharacteristic
1153C2×M16C22×D5911yescharacteristic
1154C2×M16C22×D5911yescharacteristic
1155C22×C8C22×D5911yescharacteristic
1156C22×C8C22×D5911yescharacteristic
1157C4⋊Q8—591no—
1158C4⋊Q8—591no—
1159C4⋊Q8—1181no—
1160#127—591no—
1161#127—591no—
1162#126—1181no—
1163#126—1181no—
1164#126—1181no—
1165#126—1181no—
1166#126—1181no—
1167#126—1181no—
1168#126—1181no—
1169#126—1181no—
1170#126—1181no—
1171#125—591no—
1172#125—591no—
1173#125—591no—
1174#125—1181no—
1175#124—591no—
1176#124—591no—
1177#124—591no—
1178#124—591no—
1179#124—591no—
1180#124—591no—
1181#124—591no—
1182#124—591no—
1183#124—591no—
1184#124—1181no—
1185#124—1181no—
1186#124—1181no—
1187#124—1181no—
1188#124—1181no—
1189#124—1181no—
1190#124—1181no—
1191#124—1181no—
1192#124—1181no—
1193#123—1181no—
1194#123—1181no—
1195#123—1181no—
1196#123—1181no—
1197#123—1181no—
1198#123—1181no—
1199#123—1181no—
1200#123—1181no—
1201#123—1181no—
1202#123—1181no—
1203#123—1181no—
1204#123—1181no—
1205#123—1181no—
1206#123—1181no—
1207#123—1181no—
1208C22⋊Q8—591no—
1209C22⋊Q8—591no—
1210C22⋊Q8—591no—
1211C22⋊Q8—591no—
1212C22⋊Q8—591no—
1213C22⋊Q8—1181no—
1214C22⋊Q8—1181no—
1215C22⋊Q8—1181no—
1216C22⋊Q8—1181no—
1217C22⋊Q8—1181no—
1218C22⋊Q8—1181no—
1219C22⋊Q8—1181no—
1220C22⋊Q8—1181no—
1221C22⋊Q8—1181no—
1222C22⋊Q8—1181no—
1223#121—591no—
1224#121—591no—
1225#121—591no—
1226#121—591no—
1227#121—591no—
1228#121—591no—
1229#121—591no—
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#121—1181no—
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×Q8D23611yescharacteristic
1257C4×Q8C22×D5911yescharacteristic
1258C4×D4—591no—
1259C4×D4—591no—
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—1181no—
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×D4—1181no—
1287C4×D4—1181no—
1288C4×D4—1181no—
1289C4×D4—1181no—
1290C4×D4—1181no—
1291C4×D4D23611yescharacteristic
1292C4×D4D23611yescharacteristic
1293C4×D4D23611yescharacteristic
1294C4×D4C22×D5911yescharacteristic
1295C4×D4C22×D5911yescharacteristic
1296C4×D4C22×D5911yescharacteristic
1297#117—591no—
1298#117—1181no—
1299#117—1181no—
1300#117—1181no—
1301#117—1181no—
1302#117—1181no—
1303#117—1181no—
1304#117—1181no—
1305#117D23611yescharacteristic
1306#117D23611yescharacteristic
1307#117D23611yescharacteristic
1308C2×C4⋊C4—591no—
1309C2×C4⋊C4—591no—
1310C2×C4⋊C4—1181no—
1311C2×C22⋊C4—1181no—
1312C2×C22⋊C4—1181no—
1313C2×C22⋊C4—1181no—
1314C2×C22⋊C4—1181no—
1315C2×C22⋊C4—1181no—
1316C2×C22⋊C4—1181no—
1317C2×C22⋊C4—1181no—
1318C2×C22⋊C4—1181no—
1319C2×C22⋊C4—1181no—
1320C2×C22⋊C4—1181no—
1321C2×C42—1181no—
1322C2×C42C22×D5911yescharacteristic
1323C2×C42C22×D5911yescharacteristic
1324C2×C42C22×D5911yescharacteristic
1325#107—591no—
1326#107—591no—
1327#107—591no—
1328#107—591no—
1329#106—591no—
1330#106—591no—
1331#106—591no—
1332#106—591no—
1333C4⋊C8C22×D5911yescharacteristic
1334C4⋊C8C22×D5911yescharacteristic
1335C4⋊C8C22×D5911yescharacteristic
1336C4⋊C8C22×D5911yescharacteristic
1337C4⋊C8C22×D5911yescharacteristic
1338C4⋊C8C22×D5911yescharacteristic
1339C4⋊C8C22×D5911yescharacteristic
1340C4⋊C8C22×D5911yescharacteristic
1341C4⋊C8C22×D5911yescharacteristic
1342C4⋊C8C22×D5911yescharacteristic
1343#103—591no—
1344#103—591no—
1345#103—591no—
1346#103—591no—
1347#103—591no—
1348#103—591no—
1349#103—591no—
1350#103—591no—
1351#103—591no—
1352#103—591no—
1353#103—591no—
1354#103—591no—
1355#103—591no—
1356#103—591no—
1357#102—591no—
1358#102—591no—
1359#102—591no—
1360#102—591no—
1361#102—591no—
1362#102—591no—
1363#102—591no—
1364#102—591no—
1365#102—591no—
1366#102—591no—
1367#102—591no—
1368#102—591no—
1369#102—591no—
1370#102—591no—
1371#102—591no—
1372#102—591no—
1373#102—591no—
1374#102—591no—
1375C22⋊C8C22×D5911yescharacteristic
1376C22⋊C8C22×D5911yescharacteristic
1377C22⋊C8C22×D5911yescharacteristic
1378C22⋊C8C22×D5911yescharacteristic
1379C22⋊C8C22×D5911yescharacteristic
1380C22⋊C8C22×D5911yescharacteristic
1381#97C22×D5911yescharacteristic
1382#97C22×D5911yescharacteristic
1383#97C22×D5911yescharacteristic
1384#97C22×D5911yescharacteristic
1385C4×C8C22×D5911yescharacteristic
1386C4×C8C22×D5911yescharacteristic
1387C24—1181no—
1388C24—1181no—
1389C24—1181no—
1390C24—1181no—
1391#41—42no—
1392#41—1182no—
1393#41—4722no—
1394#41—2361no—
1395#41—2361no—
1396#41—2361no—
1397#41—2361no—
1398#41—2361no—
1399C2×Q8—591no—
1400C2×Q8—591no—
1401C2×Q8—591no—
1402C2×Q8—591no—
1403C2×Q8—1181no—
1404C2×Q8—1181no—
1405C2×Q8—1181no—
1406C2×Q8—2361no—
1407C2×Q8—2361no—
1408C2×Q8—2361no—
1409C2×Q8—2361no—
1410C2×Q8C2×D23611yescharacteristic
1411C2×D4—591no—
1412C2×D4—591no—
1413C2×D4—591no—
1414C2×D4—591no—
1415C2×D4—591no—
1416C2×D4—591no—
1417C2×D4—1182no—
1418C2×D4—1182no—
1419C2×D4—1181no—
1420C2×D4—1181no—
1421C2×D4—1181no—
1422C2×D4—1181no—
1423C2×D4—1181no—
1424C2×D4—1181no—
1425C2×D4—1181no—
1426C2×D4—1181no—
1427C2×D4—1181no—
1428C2×D4—1181no—
1429C2×D4—1181no—
1430C2×D4—1181no—
1431C2×D4—1181no—
1432C2×D4—1181no—
1433C2×D4—1181no—
1434C2×D4—1181no—
1435C2×D4—1181no—
1436C2×D4—1181no—
1437C2×D4—2361no—
1438C2×D4—2361no—
1439C2×D4—2361no—
1440C2×D4—2361no—
1441C2×D4—2361no—
1442C2×D4—2361no—
1443C2×D4—2364no—
1444C2×D4—2364no—
1445C2×D4C2×D23611yescharacteristic
1446C2×D4C2×D23611yescharacteristic
1447C2×D4C2×D23611yescharacteristic
1448C22×C4—1181no—
1449C22×C4—1181no—
1450C22×C4—1181no—
1451C22×C4—1181no—
1452C22×C4—1181no—
1453C22×C4—1181no—
1454C22×C4—1181no—
1455C22×C4—1181no—
1456C22×C4—1181no—
1457C22×C4—1181no—
1458C22×C4—1181no—
1459C22×C4—1181no—
1460C22×C4—1181no—
1461C22×C4—1181no—
1462C22×C4—1181no—
1463C22×C4—1181no—
1464C22×C4—1181no—
1465C22×C4—1181no—
1466C22×C4—4722no—
1467C22×C4—4722no—
1468C22×C4C2×D23611yescharacteristic
1469C22×C4C2×D23611yescharacteristic
1470C22×C4C2×D23611yescharacteristic
1471C22×C4C2×D23611yescharacteristic
1472C22×C4C2×D23611yescharacteristic
1473C22×C4C2×D23611yescharacteristic
1474C22×C4C23×D5911yescharacteristic
1475C22×C4C23×D5911yescharacteristic
1476C22×C4C23×D5911yescharacteristic
1477Q16—2361no—
1478Q16—2361no—
1479Q16—2361no—
1480SD16—1182no—
1481SD16—1182no—
1482SD16—1182no—
1483SD16—2361no—
1484SD16—2361no—
1485SD16—2361no—
1486SD16—2361no—
1487SD16—2361no—
1488SD16—2361no—
1489SD16—2361no—
1490SD16—2361no—
1491SD16—2361no—
1492D8—1182no—
1493D8—1182no—
1494D8—1182no—
1495D8—2361no—
1496D8—2361no—
1497D8—2361no—
1498D8—2361no—
1499D8—2361no—
1500D8—2361no—
1501M16—41no—
1502M16—41no—
1503M16—41no—
1504M16—41no—
1505C2×C8—41no—
1506C2×C8—41no—
1507C2×C8C23×D5911yescharacteristic
1508C2×C8C23×D5911yescharacteristic
1509C2×C8C23×D5911yescharacteristic
1510C2×C8C23×D5911yescharacteristic
1511C2×C8C23×D5911yescharacteristic
1512C2×C8C23×D5911yescharacteristic
1513C2×C8C23×D5911yescharacteristic
1514C2×C8C23×D5911yescharacteristic
1515C4⋊C4—591no—
1516C4⋊C4—591no—
1517C4⋊C4—591no—
1518C4⋊C4—591no—
1519C4⋊C4—591no—
1520C4⋊C4—591no—
1521C4⋊C4—1181no—
1522C4⋊C4—1181no—
1523C4⋊C4—1181no—
1524C4⋊C4—1181no—
1525C4⋊C4—1181no—
1526C4⋊C4—1181no—
1527C4⋊C4—1181no—
1528C4⋊C4—1181no—
1529C4⋊C4—1181no—
1530C4⋊C4—1181no—
1531C4⋊C4—1181no—
1532C4⋊C4—1181no—
1533C4⋊C4—1181no—
1534C4⋊C4—1181no—
1535C4⋊C4—1181no—
1536C4⋊C4—1181no—
1537C4⋊C4—1181no—
1538C4⋊C4—1181no—
1539C4⋊C4—1181no—
1540C4⋊C4—1181no—
1541C4⋊C4—1181no—
1542C4⋊C4C2×D23611yescharacteristic
1543C4⋊C4C2×D23611yescharacteristic
1544C4⋊C4C2×D23611yescharacteristic
1545C4⋊C4C2×D23611yescharacteristic
1546C4⋊C4C2×D23611yescharacteristic
1547C4⋊C4C2×D23611yescharacteristic
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⋊C4—1181no—
1570C22⋊C4—1181no—
1571C22⋊C4—1181no—
1572C22⋊C4—1181no—
1573C22⋊C4—1181no—
1574C22⋊C4—1181no—
1575C22⋊C4—1181no—
1576C22⋊C4—1181no—
1577C22⋊C4—1181no—
1578C22⋊C4—1181no—
1579C22⋊C4—1181no—
1580C22⋊C4—1181no—
1581C22⋊C4—1181no—
1582C22⋊C4—1181no—
1583C22⋊C4—1181no—
1584C22⋊C4—1181no—
1585C22⋊C4—1181no—
1586C22⋊C4—1181no—
1587C22⋊C4—1181no—
1588C22⋊C4—1181no—
1589C22⋊C4—1181no—
1590C22⋊C4C2×D23611yescharacteristic
1591C22⋊C4C2×D23611yescharacteristic
1592C22⋊C4C2×D23611yescharacteristic
1593C22⋊C4C2×D23611yescharacteristic
1594C22⋊C4C2×D23611yescharacteristic
1595C22⋊C4C2×D23611yescharacteristic
1596C42—1181no—
1597C42—1181no—
1598C42—1181no—
1599C42—1181no—
1600C42—1181no—
1601C42—1181no—
1602C42C2×D23611yescharacteristic
1603C42C2×D23611yescharacteristic
1604C42C2×D23611yescharacteristic
1605C42C2×D23611yescharacteristic
1606C42C2×D23611yescharacteristic
1607C42C2×D23611yescharacteristic
1608C42C23×D5911yescharacteristic
1609C42C23×D5911yescharacteristic
1610C42C23×D5911yescharacteristic
1611C42C23×D5911yescharacteristic
1612C23—1181no—
1613C23—1181no—
1614C23—1181no—
1615C23—1181no—
1616C23—1181no—
1617C23—1181no—
1618C23—4721no—
1619C23—4721no—
1620C23—4721no—
1621C23—4721no—
1622C23—4721no—
1623C23—4721no—
1624C23—2362no—
1625C23—2362no—
1626C23—2362no—
1627C23—2362no—
1628C23—2362no—
1629C23—2362no—
1630C23C22×D23611yescharacteristic
1631C23C22×D23611yescharacteristic
1632C23C22×D23611yescharacteristic
1633Q8—41no—
1634Q8—1181no—
1635Q8—1181no—
1636Q8—1181no—
1637Q8—1181no—
1638Q8—1181no—
1639Q8—1181no—
1640Q8—1181no—
1641Q8—1181no—
1642Q8—4721no—
1643Q8—4721no—
1644Q8—4721no—
1645D4—22no—
1646D4—22no—
1647D4—41no—
1648D4—592no—
1649D4—1181no—
1650D4—1181no—
1651D4—1181no—
1652D4—1181no—
1653D4—1181no—
1654D4—1181no—
1655D4—1181no—
1656D4—1181no—
1657D4—1181no—
1658D4—1181no—
1659D4—1181no—
1660D4—4721no—
1661D4—4721no—
1662D4—4721no—
1663D4—4721no—
1664D4—4721no—
1665D4—4721no—
1666D4—4721no—
1667D4—4721no—
1668D4—4721no—
1669D4—2362no—
1670D4—2362no—
1671D4—2362no—
1672D4—2362no—
1673D4—2362no—
1674D4—2362no—
1675D4—2362no—
1676D4—2362no—
1677D4—2362no—
1678C2×C4—22no—
1679C2×C4—21no—
1680C2×C4—21no—
1681C2×C4—21no—
1682C2×C4—21no—
1683C2×C4—21no—
1684C2×C4—21no—
1685C2×C4—41no—
1686C2×C4—41no—
1687C2×C4—41no—
1688C2×C4—41no—
1689C2×C4—41no—
1690C2×C4—1181no—
1691C2×C4—1181no—
1692C2×C4—1181no—
1693C2×C4—1181no—
1694C2×C4—1181no—
1695C2×C4—1181no—
1696C2×C4—1181no—
1697C2×C4—1181no—
1698C2×C4—1181no—
1699C2×C4—1181no—
1700C2×C4—4721no—
1701C2×C4—4721no—
1702C2×C4—4721no—
1703C2×C4—4721no—
1704C2×C4—4721no—
1705C2×C4—4721no—
1706C2×C4—4721no—
1707C2×C4—4721no—
1708C2×C4—4721no—
1709C2×C4—4721no—
1710C2×C4—4721no—
1711C2×C4—4721no—
1712C2×C4—2362no—
1713C2×C4—2362no—
1714C2×C4—2362no—
1715C2×C4—2362no—
1716C2×C4—2362no—
1717C2×C4—2362no—
1718C2×C4C22×D23611yescharacteristic
1719C2×C4C22×D23611yescharacteristic
1720C2×C4C22×D23611yescharacteristic
1721C2×C4C22×D23611yescharacteristic
1722C2×C4C22×D23611yescharacteristic
1723C2×C4C22×D23611yescharacteristic
1724C2×C4C22×D23611yescharacteristic
1725C2×C4C22×D23611yescharacteristic
1726C2×C4C22×D23611yescharacteristic
1727C2×C4C22×D23611yescharacteristic
1728C2×C4C22×D23611yescharacteristic
1729C2×C4C24×D5911yescharacteristic
1730C8—21no—
1731C8—21no—
1732C8—21no—
1733C8—21no—
1734C8—21no—
1735C8—21no—
1736C8—21no—
1737C8—21no—
1738C22—21no—
1739C22—21no—
1740C22—21no—
1741C22—21no—
1742C22—21no—
1743C22—21no—
1744C22—21no—
1745C22—21no—
1746C22—1182no—
1747C22—9442no—
1748C22—9442no—
1749C22—4724no—
1750C22—4724no—
1751C22—2361no—
1752C22—2361no—
1753C22—2361no—
1754C22—2361no—
1755C22—2361no—
1756C22—2361no—
1757C22—2361no—
1758C22—2361no—
1759C22—2361no—
1760C22—2361no—
1761C22—2361no—
1762C22—2361no—
1763C22—2361no—
1764C22—2361no—
1765C22—2361no—
1766C22—2361no—
1767C22—2361no—
1768C22#1683820212yes—
1769C22C23×D23611yescharacteristic
1770C4—21no—
1771C4—21no—
1772C4—21no—
1773C4—21no—
1774C4—21no—
1775C4—21no—
1776C4—21no—
1777C4—21no—
1778C4—21no—
1779C4—21no—
1780C4—21no—
1781C4—2361no—
1782C4—2361no—
1783C4—2361no—
1784C4—2361no—
1785C4—2361no—
1786C4—2361no—
1787C4—2361no—
1788C4—2361no—
1789C4—2361no—
1790C4—2361no—
1791C4H(5,𝔽2)×D5911yescharacteristic
1792C4#1683823911yescharacteristic
1793C2—22no—
1794C2—41no—
1795C2—41no—
1796C2—4721no—
1797C2—4721no—
1798C2—4721no—
1799C2—4721no—
1800C2—4721no—
1801C2—2362no—
1802C2#2143776611yescharacteristic
1803C2C2×#1683820211yescharacteristic
1804C2#2143887711yescharacteristic
subgroupG/H
centerC22C23×D236
commutator, cosocleC2×C4×C59C25
FrattiniC2×C4C24×D59
FittingC59×#2989C2
socleC22×C59C23×D4
hypercenter#2989D59
hypocenterC59#61971
LCSG ▷ C2×C4×C59 ▷ C2×C59 ▷ C59
UCSC1 ◁ C22 ◁ C4×#41 ◁ #2989

Complements

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

NH ≅ G/Ntype
1. #21438057C2semidirect
2. #21437706C2semidirect
3. #21437186C2semidirect
4. #21437164C2semidirect
5. #21436925C2semidirect
6. #21436851C2semidirect
7. #21436351C2semidirect
8. #21436299C2semidirect
9. #21436269C2semidirect
10. #21436239C2semidirect
11. #21436209C2semidirect
12. #21436179C2semidirect
13. #21435732C2semidirect
14. #21435708C2semidirect
15. #21435611C2semidirect
16. #21435596C2semidirect
17. #21435581C2semidirect
18. #21435581C2semidirect
19. #21435497C2semidirect
20. #21435459C2semidirect
21. #21435448C2semidirect
22. #21435135C2semidirect
23. #21435085C2semidirect
24. #21435063C2semidirect
25. #21434236C2semidirect
26. #21434207C2semidirect
27. #21434145C2semidirect
28. #21433591C2semidirect
29. #21433562C2semidirect
30. C2×#16837618C2semidirect
31. C59×#2989C2semidirect
32. C2×#14273760C22semidirect
34. C2×#14273755C22semidirect
35. C2×#14273755C22semidirect
36. C22×#11745660C22semidirect
38. #16838137C22semidirect
39. #16838137C22semidirect
40. #16838125C22semidirect
42. #16838112C22semidirect
43. #16838109C22semidirect
45. #16838098C22semidirect
51. D4×Dic118C22semidirect
53. #16838061C22semidirect
56. #16838048C22semidirect
57. #16838048C22semidirect
60. D4×D236C22semidirect
61. D4×D236C22semidirect
65. #16837952C22semidirect
66. #16837952C22semidirect
68. #16837936C22semidirect
69. #16837936C22semidirect
70. #16837936C22semidirect
71. #16837936C22semidirect
72. #16837936C22semidirect
73. C2×#14273715C22semidirect
74. C2×#14273715C22semidirect
78. C4×#11745685C22semidirect
79. C2×C4×D236C22semidirect
80. C2×C4×D236C22semidirect
82. #16837796C22semidirect
84. #16837791C22semidirect
85. #16837791C22semidirect
86. #16837786C22semidirect
87. #16837786C22semidirect
88. #16837771C22semidirect
89. #16837767C22semidirect
90. #16837762C22semidirect
91. #16837762C22semidirect
92. #16837757C22semidirect
93. #16837757C22semidirect
94. #16837744C22semidirect
95. #16837738C22semidirect
96. #16837733C22semidirect
97. #16837727C22semidirect
98. #16837721C22semidirect
99. #16837716C22semidirect
100. #16837710C22semidirect
101. #16837710C22semidirect
102. #16837710C22semidirect
103. #16837703C22semidirect
104. #16837703C22semidirect
105. #16837703C22semidirect
106. #16837703C22semidirect
107. #16837703C22semidirect
108. #16837688C22semidirect
109. #16837683C22semidirect
110. #16837660C22semidirect
112. #16837655C22semidirect
113. #16837655C22semidirect
114. #16837648C22semidirect
115. #16837648C22semidirect
116. #16837648C22semidirect
117. #16837648C22semidirect
118. #16837643C22semidirect
120. #16837631C22semidirect
121. #16837631C22semidirect
122. #16837625C22semidirect
123. #16837625C22semidirect
124. #16837625C22semidirect
125. #16837625C22semidirect
126. #16837625C22semidirect
127. #16837625C22semidirect
128. #16837625C22semidirect
132. #16837618C22semidirect
133. #16837618C22semidirect
134. #16837618C22semidirect
135. #16837618C22semidirect
136. #16837618C22semidirect
137. #16837618C22semidirect
138. #16837618C22semidirect
139. #16837618C22semidirect
140. #16837618C22semidirect
141. #16837618C22semidirect
142. #16837618C22semidirect
143. #16837618C22semidirect
144. #16837618C22semidirect
145. #16837618C22semidirect
146. #16837608C22semidirect
147. #16837608C22semidirect
148. #16837603C22semidirect
150. #16837598C22semidirect
151. #16837598C22semidirect
152. #16837566C22semidirect
153. #16837566C22semidirect
154. #16837566C22semidirect
155. #16837560C22semidirect
156. #16837555C22semidirect
157. #16837555C22semidirect
158. #16837555C22semidirect
160. #16837549C22semidirect
161. #16837549C22semidirect
162. #16837543C22semidirect
163. #16837543C22semidirect
164. #16837543C22semidirect
168. #16837538C22semidirect
169. #16837538C22semidirect
171. #16837515C22semidirect
172. #16837515C22semidirect
173. #16837510C22semidirect
174. #16837504C22semidirect
175. #16837504C22semidirect
176. #16837504C22semidirect
177. #16837504C22semidirect
178. C4×#11745660C22semidirect
179. C4×#11745660C22semidirect
180. C4×D472C22semidirect
181. C4×D472C22semidirect
182. #16837412C22semidirect
183. #16837408C22semidirect
184. #16837404C22semidirect
185. #16837404C22semidirect
186. C2×#14273652C22semidirect
187. C2×#14273649C22semidirect
189. C59×#446C22semidirect
190. C59×#446C22semidirect
191. C59×#436C22semidirect
192. C59×#436C22semidirect
193. C59×#435C22semidirect
194. C59×#435C22semidirect
195. C59×#435C22semidirect
196. C59×#435C22semidirect
197. C59×#432C22semidirect
198. C59×#432C22semidirect
199. C59×#431C22semidirect
200. C59×#423C22semidirect
201. C59×#423C22semidirect
202. C2×C4⋊C8×C59C22semidirect
921. #2989D59semidirect
1073. #446C2×D59semidirect
1074. #446C2×D59semidirect
1087. #436C2×D59semidirect
1088. #436C2×D59semidirect
1089. #435C2×D59semidirect
1090. #435C2×D59semidirect
1091. #435C2×D59semidirect
1092. #435C2×D59semidirect
1093. #432C2×D59semidirect
1094. #432C2×D59semidirect
1095. #431C2×D59semidirect
1096. #423C2×D59semidirect
1097. #423C2×D59semidirect
1098. C2×C4⋊C8C2×D59semidirect
1105. C59#61971semidirect

Maximal subgroups

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

subgroupindex
#214380572
#214377062
#214371862
#214371642
#214369252
#214368512
#214363512
#214362992
#214362692
#214362392
#214362092
#214361792
#214357322
#214357082
#214356112
#214355962
#214355812
#214354972
#214354592
#214354482
#214351352
#214350852
#214350632
#214342362
#214342072
#214341452
#214335912
#214335622
C2×#168376182
C59×#29892
#6197159