Finite Group Databasebeta

← #30626555

Subgroups — #30626555

Order 15616.

1812 conjugacy classes of subgroups.

The subgroup lattice has 1776 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21462774C211yesmaximal, characteristic, complemented
2#21462774C211yesmaximal, characteristic, complemented
3#21462771C211yesmaximal, characteristic, complemented
4#21462768C211yesmaximal, characteristic, complemented
5#21462759C211yesmaximal, characteristic, complemented
6#21462757C211yesmaximal, characteristic, complemented
7#21462711C211yesmaximal, characteristic, complemented
8#21462710C211yesmaximal, characteristic, complemented
9#21462706C211yesmaximal, characteristic, complemented
10#21462694C211yesmaximal, characteristic, complemented
11#21462693C211yesmaximal, characteristic, complemented
12#21462690C211yesmaximal, characteristic, complemented
13#21462690C211yesmaximal, characteristic, complemented
14#21462689C211yesmaximal, characteristic, complemented
15#21462687C211yesmaximal, characteristic, complemented
16#21462655C211yesmaximal, characteristic, complemented
17#21462654C211yesmaximal, characteristic, complemented
18#21462643C211yesmaximal, characteristic, complemented
19#21462642C211yesmaximal, characteristic, complemented
20#21462637C211yesmaximal, characteristic, complemented
21#21462637C211yesmaximal, characteristic, complemented
22#21462565C211yesmaximal, characteristic, complemented
23#21462564C211yesmaximal, characteristic, complemented
24#21462554C211yesmaximal, characteristic, complemented
25#21462553C211yesmaximal, characteristic, complemented
26#21462552C211yesmaximal, characteristic, complemented
27#21462552C211yesmaximal, characteristic, complemented
28#21462544C211yesmaximal, characteristic, complemented
29#21462540C211yesmaximal, characteristic, complemented
30#21462539C211yesmaximal, characteristic, complemented
31#21459960C211yesmaximal, characteristic
32C2×#14519865C2211yescharacteristic
33C2×#14519865C2211yescharacteristic
34C2×#14519865C2211yescharacteristic, complemented
35C2×#14519864C2211yescharacteristic
36C22×#11758213C2211yescharacteristic, complemented
37C2×D61⋊M16C2211yescharacteristic, complemented
38#16840814C2211yescharacteristic, complemented
39#16840814C2211yescharacteristic, complemented
40#16840814C2211yescharacteristic, complemented
41#16840814C2211yescharacteristic, complemented
42#16840812C2211yescharacteristic, complemented
43#16840812C2211yescharacteristic, complemented
44#16840811C2211yescharacteristic, complemented
45#16840811C2211yescharacteristic, complemented
46#16840796C2211yescharacteristic
47#16840796C2211yescharacteristic
48#16840796C2211yescharacteristic, complemented
49#16840796C2211yescharacteristic, complemented
50#16840796C2211yescharacteristic, complemented
51#16840796C2211yescharacteristic, complemented
52#16840796C2211yescharacteristic, complemented
53#16840796C2211yescharacteristic, complemented
54#16840796C2211yescharacteristic, complemented
55#16840796C2211yescharacteristic, complemented
56#16840795C2211yescharacteristic
57#16840795C2211yescharacteristic
58#16840795C2211yescharacteristic
59#16840795C2211yescharacteristic
60#16840795C2211yescharacteristic, complemented
61#16840795C2211yescharacteristic, complemented
62#16840795C2211yescharacteristic, complemented
63#16840795C2211yescharacteristic, complemented
64#16840794C2211yescharacteristic
65#16840794C2211yescharacteristic
66#16840794C2211yescharacteristic
67#16840794C2211yescharacteristic
68#16840794C2211yescharacteristic, complemented
69#16840794C2211yescharacteristic, complemented
70#16840794C2211yescharacteristic, complemented
71#16840794C2211yescharacteristic, complemented
72#16840792C2211yescharacteristic
73#16840792C2211yescharacteristic
74#16840792C2211yescharacteristic
75#16840792C2211yescharacteristic
76#16840792C2211yescharacteristic, complemented
77#16840792C2211yescharacteristic, complemented
78#16840792C2211yescharacteristic, complemented
79#16840792C2211yescharacteristic, complemented
80#16840792C2211yescharacteristic, complemented
81#16840792C2211yescharacteristic, complemented
82#16840792C2211yescharacteristic, complemented
83#16840792C2211yescharacteristic, complemented
84#16840792C2211yescharacteristic, complemented
85#16840792C2211yescharacteristic, complemented
86#16840792C2211yescharacteristic, complemented
87#16840792C2211yescharacteristic, complemented
88#16840792C2211yescharacteristic, complemented
89#16840792C2211yescharacteristic, complemented
90#16840792C2211yescharacteristic, complemented
91#16840792C2211yescharacteristic, complemented
92#16840791C2211yescharacteristic
93#16840791C2211yescharacteristic
94#16840791C2211yescharacteristic
95#16840791C2211yescharacteristic
96#16840791C2211yescharacteristic, complemented
97#16840791C2211yescharacteristic, complemented
98#16840791C2211yescharacteristic, complemented
99#16840791C2211yescharacteristic, complemented
100#16840790C2211yescharacteristic
101#16840790C2211yescharacteristic
102#16840790C2211yescharacteristic, complemented
103#16840790C2211yescharacteristic, complemented
104#16840790C2211yescharacteristic, complemented
105#16840790C2211yescharacteristic, complemented
106#16840790C2211yescharacteristic, complemented
107#16840790C2211yescharacteristic, complemented
108#16840790C2211yescharacteristic, complemented
109#16840790C2211yescharacteristic, complemented
110#16840789C2211yescharacteristic
111#16840789C2211yescharacteristic
112#16840789C2211yescharacteristic
113#16840789C2211yescharacteristic
114#16840789C2211yescharacteristic, complemented
115#16840789C2211yescharacteristic, complemented
116#16840789C2211yescharacteristic, complemented
117#16840789C2211yescharacteristic, complemented
118#16840787C2211yescharacteristic, complemented
119#16840787C2211yescharacteristic, complemented
120#16840787C2211yescharacteristic, complemented
121#16840787C2211yescharacteristic, complemented
122#16840787C2211yescharacteristic, complemented
123#16840787C2211yescharacteristic, complemented
124#16840787C2211yescharacteristic, complemented
125#16840787C2211yescharacteristic, complemented
126#16840786C2211yescharacteristic, complemented
127#16840786C2211yescharacteristic, complemented
128#16840786C2211yescharacteristic, complemented
129#16840786C2211yescharacteristic, complemented
130#16840785C2211yescharacteristic, complemented
131#16840785C2211yescharacteristic, complemented
132#16840785C2211yescharacteristic, complemented
133#16840784C2211yescharacteristic, complemented
134#16840781C2211yescharacteristic, complemented
135#16840780C2211yescharacteristic, complemented
136#16840769C2211yescharacteristic, complemented
137#16840769C2211yescharacteristic, complemented
138#16840769C2211yescharacteristic, complemented
139#16840769C2211yescharacteristic, complemented
140#16840768C2211yescharacteristic, complemented
141#16840768C2211yescharacteristic, complemented
142#16840766C2211yescharacteristic, complemented
143D61⋊(C4⋊C8)C2211yescharacteristic, complemented
144D61⋊(C4⋊C8)C2211yescharacteristic, complemented
145#16840737C2211yescharacteristic
146#16840737C2211yescharacteristic
147#16840737C2211yescharacteristic
148#16840737C2211yescharacteristic
149#16840737C2211yescharacteristic
150#16840737C2211yescharacteristic
151#16840737C2211yescharacteristic, complemented
152#16840737C2211yescharacteristic, complemented
153#16840737C2211yescharacteristic, complemented
154#16840736C2211yescharacteristic
155#16840735C2211yescharacteristic
156#16840735C2211yescharacteristic
157#16840734C2211yescharacteristic, complemented
158#16840733C2211yescharacteristic, complemented
159C2×#14519834C2211yescharacteristic, complemented
160D61⋊(C22⋊C8)C2211yescharacteristic, complemented
161D61⋊(C22⋊C8)C2211yescharacteristic, complemented
162D61⋊(C22⋊C8)C2211yescharacteristic, complemented
163#16840727C2211yescharacteristic, complemented
164#16840727C2211yescharacteristic, complemented
165#16840727C2211yescharacteristic, complemented
166#16840727C2211yescharacteristic, complemented
167#16840726C2211yescharacteristic, complemented
168#16840726C2211yescharacteristic, complemented
169C4×#11758213C2211yescharacteristic, complemented
170C4×#11758213C2211yescharacteristic, complemented
171C4×D61⋊C8C2211yescharacteristic, complemented
172#16840511C411yescharacteristic
173#16840511C411yescharacteristic
174#16840510C411yescharacteristic
175#16840510C411yescharacteristic
176#16840508C411yescharacteristic
177#16840508C411yescharacteristic
178#16840508C411yescharacteristic
179#16840508C411yescharacteristic
180#16840504C411yescharacteristic
181#16840503C411yescharacteristic
182#16840503C411yescharacteristic
183#16840503C411yescharacteristic
184#16840503C411yescharacteristic
185#16840502C411yescharacteristic
186#16840502C411yescharacteristic
187#16840313C2211yescharacteristic
188#16840313C2211yescharacteristic
189#16840311C2211yescharacteristic
190#16840297C2211yescharacteristic
191#16840297C2211yescharacteristic
192#16840295C2211yescharacteristic
193#16840295C2211yescharacteristic
194#16840295C2211yescharacteristic
195#16840295C2211yescharacteristic
196#16840275C2211yescharacteristic
197#16840275C2211yescharacteristic
198#16840275C2211yescharacteristic
199#16840275C2211yescharacteristic
200#16840270C2211yescharacteristic
201#16840270C2211yescharacteristic
202C61×#563C411yescharacteristic
203#14519865—42no—
204#14519865—42no—
205#14519865—42no—
206#14519864—42no—
207C2×#11758213—42no—
208C2×#11758213C2311yescharacteristic
209C2×#11758213C2311yescharacteristic
210C2×#11758213C2311yescharacteristic
211C2×#11758213C2311yescharacteristic
212C2×#11758213C2311yescharacteristic
213C2×#11758213C2311yescharacteristic
214C2×#11758213C2311yescharacteristic
215C2×#11758213C2311yescharacteristic
216C2×#11758213C2311yescharacteristic
217C2×#11758213C2311yescharacteristic
218C2×#11758213C2311yescharacteristic
219C2×#11758213C2311yescharacteristic
220C2×#11758213C2311yescharacteristic
221C2×#11758213C2311yescharacteristic
222D61⋊M16—42no—
223C2×#11758217C2311yescharacteristic
224C2×#11758217C2311yescharacteristic
225C2×#11758217C2311yescharacteristic
226C2×#11758217C2311yescharacteristic
227C2×D61⋊C8C2311yescharacteristic
228C2×D61⋊C8C2311yescharacteristic
229C2×D61⋊C8C2311yescharacteristic
230C2×D61⋊C8C2311yescharacteristic
231C2×D61⋊C8C2311yescharacteristic
232C2×D61⋊C8C2311yescharacteristic
233C2×D61⋊C8C2311yescharacteristic
234C2×D61⋊C8C2311yescharacteristic
235C2×D61⋊C8C2311yescharacteristic
236C2×D61⋊C8C2311yescharacteristic
237C2×D61⋊C8C2311yescharacteristic
238C2×D61⋊C8C2311yescharacteristic
239C2×D61⋊C8C2311yescharacteristic
240C2×D61⋊C8C2311yescharacteristic
241C22×#92420C2311yescharacteristic
242C22×#92420C2311yescharacteristic
243C22×#92420C2311yescharacteristic
244C22×#92420C2311yescharacteristic
245#14519844C2311yescharacteristic
246#14519844C2311yescharacteristic
247#14519844C2311yescharacteristic
248#14519844C2311yescharacteristic
249#14519844C2311yescharacteristic
250#14519844C2311yescharacteristic
251#14519844C2311yescharacteristic
252#14519844C2311yescharacteristic
253#14519844C2311yescharacteristic
254#14519844C2311yescharacteristic
255#14519844C2311yescharacteristic
256#14519844C2311yescharacteristic
257C4⋊#92420C2311yescharacteristic
258C4⋊#92420C2311yescharacteristic
259C4⋊#92420C2311yescharacteristic
260C4⋊#92420C2311yescharacteristic
261C4⋊#92420C2311yescharacteristic
262C4⋊#92420C2311yescharacteristic
263C4⋊#92420C2311yescharacteristic
264C4⋊#92420C2311yescharacteristic
265C4⋊#92420C2311yescharacteristic
266C4⋊#92420C2311yescharacteristic
267C4⋊#92420C2311yescharacteristic
268C4⋊#92420C2311yescharacteristic
269#14519834C2311yescharacteristic
270#14519834C2311yescharacteristic
271#14519834C2311yescharacteristic
272#14519834C2311yescharacteristic
273#14519834C2311yescharacteristic
274#14519834C2311yescharacteristic
275#14519834C2311yescharacteristic
276#14519834C2311yescharacteristic
277#14519834C2311yescharacteristic
278#14519834C2311yescharacteristic
279#14519834C2311yescharacteristic
280#14519834C2311yescharacteristic
281#14519834C2311yescharacteristic
282#14519834C2311yescharacteristic
283#14519834C2311yescharacteristic
284#14519834C2311yescharacteristic
285#14519834C2311yescharacteristic
286#14519834C2311yescharacteristic
287#14519834C2311yescharacteristic
288#14519834C2311yescharacteristic
289#14519834C2311yescharacteristic
290#14519834C2311yescharacteristic
291#14519834C2311yescharacteristic
292#14519834C2311yescharacteristic
293#14519834C2311yescharacteristic
294#14519834C2311yescharacteristic
295#14519834C2311yescharacteristic
296#14519834C2311yescharacteristic
297C22⋊#92420C2311yescharacteristic
298C22⋊#92420C2311yescharacteristic
299C22⋊#92420C2311yescharacteristic
300C22⋊#92420C2311yescharacteristic
301C22⋊#92420C2311yescharacteristic
302C22⋊#92420C2311yescharacteristic
303C22⋊#92420C2311yescharacteristic
304C22⋊#92420C2311yescharacteristic
305#14519832C2311yescharacteristic
306#14519832C2311yescharacteristic
307#14519832C2311yescharacteristic
308#14519832C2311yescharacteristic
309#14519832C2311yescharacteristic
310#14519832C2311yescharacteristic
311#14519832C2311yescharacteristic
312#14519832C2311yescharacteristic
313#14519832C2311yescharacteristic
314#14519832C2311yescharacteristic
315#14519832C2311yescharacteristic
316#14519832C2311yescharacteristic
317C4×#92420C2311yescharacteristic
318C4×#92420C2311yescharacteristic
319C4×#92420C2311yescharacteristic
320C4×#92420C2311yescharacteristic
321C4×#92420C2311yescharacteristic
322C4×#92420C2311yescharacteristic
323C4×#92420C2311yescharacteristic
324C4×#92420C2311yescharacteristic
325C4×#92420C2311yescharacteristic
326C4×#92420C2311yescharacteristic
327C4×#92420C2311yescharacteristic
328C4×#92420C2311yescharacteristic
329C2×#11758226C2311yescharacteristic
330C2×#11758226C2311yescharacteristic
331C2×#11758226C2311yescharacteristic
332C2×#11758224C2311yescharacteristic
333C22×C4×D61C2311yescharacteristic
334C22×C4×D61C2311yescharacteristic
335#14519775C2×C411yescharacteristic
336#14519774C2×C411yescharacteristic
337#14519774C2×C411yescharacteristic
338#14519773C2×C411yescharacteristic
339#14519772C2×C411yescharacteristic
340#14519772C2×C411yescharacteristic
341#14519772C2×C411yescharacteristic
342#14519772C2×C411yescharacteristic
343#14519771C2×C411yescharacteristic
344#14519771C2×C411yescharacteristic
345#14519771C2×C411yescharacteristic
346#14519771C2×C411yescharacteristic
347#14519767C2×C411yescharacteristic
348#14519767C2×C411yescharacteristic
349#14519767C2×C411yescharacteristic
350#14519767C2×C411yescharacteristic
351#14519766C2×C411yescharacteristic
352#14519766C2×C411yescharacteristic
353#14519766C2×C411yescharacteristic
354#14519766C2×C411yescharacteristic
355#14519765C2×C411yescharacteristic
356#14519765C2×C411yescharacteristic
357#14519765C2×C411yescharacteristic
358#14519763C2×C411yescharacteristic
359#14519763C2×C411yescharacteristic
360#14519763C2×C411yescharacteristic
361#14519763C2×C411yescharacteristic
362#14519762C2×C411yescharacteristic
363#14519762C2×C411yescharacteristic
364#14519762C2×C411yescharacteristic
365#14519762C2×C411yescharacteristic
366#14519762C2×C411yescharacteristic
367#14519762C2×C411yescharacteristic
368#14519762C2×C411yescharacteristic
369#14519762C2×C411yescharacteristic
370#14519762C2×C411yescharacteristic
371#14519762C2×C411yescharacteristic
372#14519762C2×C411yescharacteristic
373#14519762C2×C411yescharacteristic
374#14519762C2×C411yescharacteristic
375#14519762C2×C411yescharacteristic
376#14519762C2×C411yescharacteristic
377#14519762C2×C411yescharacteristic
378#14519760C2×C411yescharacteristic
379#14519760C2×C411yescharacteristic
380#14519759C2×C411yescharacteristic
381#14519759C2×C411yescharacteristic
382#14519759C2×C411yescharacteristic
383#14519759C2×C411yescharacteristic
384#14519757C2×C411yescharacteristic
385#14519757C2×C411yescharacteristic
386#14519755C2×C411yescharacteristic
387#14519755C2×C411yescharacteristic
388#14519755C2×C411yescharacteristic
389#14519755C2×C411yescharacteristic
390#14519755C2×C411yescharacteristic
391#14519755C2×C411yescharacteristic
392#14519755C2×C411yescharacteristic
393#14519755C2×C411yescharacteristic
394#14519753C2×C411yescharacteristic
395#14519753C2×C411yescharacteristic
396#14519753C2×C411yescharacteristic
397#14519753C2×C411yescharacteristic
398#14519752C2×C411yescharacteristic
399#14519752C2×C411yescharacteristic
400#14519752C2×C411yescharacteristic
401#14519752C2×C411yescharacteristic
402#14519752C2×C411yescharacteristic
403#14519752C2×C411yescharacteristic
404#14519752C2×C411yescharacteristic
405#14519752C2×C411yescharacteristic
406#14519752C2×C411yescharacteristic
407#14519752C2×C411yescharacteristic
408#14519752C2×C411yescharacteristic
409#14519752C2×C411yescharacteristic
410#14519752C2×C411yescharacteristic
411#14519752C2×C411yescharacteristic
412#14519751C2×C411yescharacteristic
413#14519751C2×C411yescharacteristic
414#14519751C2×C411yescharacteristic
415#14519751C2×C411yescharacteristic
416#14519750C2×C411yescharacteristic
417#14519750C2×C411yescharacteristic
418#14519750C2×C411yescharacteristic
419#14519750C2×C411yescharacteristic
420#14519750C2×C411yescharacteristic
421#14519750C2×C411yescharacteristic
422#14519750C2×C411yescharacteristic
423#14519750C2×C411yescharacteristic
424#14519750C2×C411yescharacteristic
425#14519750C2×C411yescharacteristic
426#14519750C2×C411yescharacteristic
427#14519750C2×C411yescharacteristic
428#14519747C2×C411yescharacteristic
429#14519747C2×C411yescharacteristic
430#14519747C2×C411yescharacteristic
431#14519747C2×C411yescharacteristic
432#14519747C2×C411yescharacteristic
433#14519747C2×C411yescharacteristic
434#14519747C2×C411yescharacteristic
435#14519747C2×C411yescharacteristic
436#14519747C2×C411yescharacteristic
437#14519747C2×C411yescharacteristic
438#14519745C2×C411yescharacteristic
439#14519745C2×C411yescharacteristic
440#14519742C2311yescharacteristic
441#14519742C2311yescharacteristic
442#14519739C2311yescharacteristic
443#14519739C2311yescharacteristic
444#14519739C2311yescharacteristic
445#14519739C2311yescharacteristic
446#14519739C2311yescharacteristic
447#14519739C2311yescharacteristic
448#14519739C2311yescharacteristic
449#14519739C2311yescharacteristic
450#14519739C2311yescharacteristic
451#14519739C2311yescharacteristic
452#14519737C2311yescharacteristic
453#14519737C2311yescharacteristic
454#14519737C2311yescharacteristic
455#14519737C2311yescharacteristic
456#14519737C2311yescharacteristic
457#14519737C2311yescharacteristic
458#14519737C2311yescharacteristic
459#14519737C2311yescharacteristic
460#14519735C2311yescharacteristic
461#14519735C2311yescharacteristic
462#14519735C2311yescharacteristic
463#14519735C2311yescharacteristic
464#14519733C2311yescharacteristic
465#14519733C2311yescharacteristic
466C42×D61C2311yescharacteristic
467C42×D61C2311yescharacteristic
468C42×D61C2311yescharacteristic
469C4⋊Q8×C61C2×C411yescharacteristic
470C4⋊Q8×C61C2×C411yescharacteristic
471#126×C61C2×C411yescharacteristic
472#126×C61C2×C411yescharacteristic
473#126×C61C2×C411yescharacteristic
474#126×C61C2×C411yescharacteristic
475#125×C61C2×C411yescharacteristic
476#125×C61C2×C411yescharacteristic
477#124×C61C2×C411yescharacteristic
478#123×C61C2×C411yescharacteristic
479#123×C61C2×C411yescharacteristic
480C22⋊Q8×C61C2×C411yescharacteristic
481C22⋊Q8×C61C2×C411yescharacteristic
482C22⋊Q8×C61C2×C411yescharacteristic
483C22⋊Q8×C61C2×C411yescharacteristic
484C23×D61C22×C411yescharacteristic
485C23×D61C22×C411yescharacteristic
486C2×Q8×C61C22×C411yescharacteristic
487C2×Q8×C61C22×C411yescharacteristic
488C2×Q8×C61C22×C411yescharacteristic
489C2×D4×C61C22×C411yescharacteristic
490C22×C4×C61C22×C411yescharacteristic
491C22×C4×C61C22×C411yescharacteristic
492C2×C22⋊D61C22×C411yescharacteristic
493C2×C22⋊D61C22×C411yescharacteristic
494C2×C22⋊D61C22×C411yescharacteristic
495C2×C22⋊D61C22×C411yescharacteristic
496C2×C22⋊D61C22×C411yescharacteristic
497C2×C22⋊D61C22×C411yescharacteristic
498C2×C22⋊D61C22×C411yescharacteristic
499C2×C22⋊D61C22×C411yescharacteristic
500C2×C22⋊D61C22×C411yescharacteristic
501C2×C22⋊D61C22×C411yescharacteristic
502C22×Dic61C2411yescharacteristic
503C22×Dic61C2411yescharacteristic
504#11758226—41no—
505#11758226—41no—
506#11758226—41no—
507#11758226—41no—
508#11758226—41no—
509#11758226—41no—
510#11758224—41no—
511#11758224—41no—
512C2×D244C22×C411yescharacteristic
513C2×D244C22×C411yescharacteristic
514C2×D244C22×C411yescharacteristic
515C2×D244C22×C411yescharacteristic
516C2×D244C22×C411yescharacteristic
517C2×D244C22×C411yescharacteristic
518C2×D244C22×C411yescharacteristic
519C2×D244C22×C411yescharacteristic
520C2×D244C22×C411yescharacteristic
521C2×D244C22×C411yescharacteristic
522C2×D244C22×C411yescharacteristic
523C2×D244C22×C411yescharacteristic
524C2×D244C22×C411yescharacteristic
525C2×D244C22×C411yescharacteristic
526C2×D244C22×C411yescharacteristic
527C2×D244C22×C411yescharacteristic
528C2×D244C22×C411yescharacteristic
529C2×D244C22×C411yescharacteristic
530C2×D244C22×C411yescharacteristic
531C2×C4×D61—41no—
532C2×C4×D61—41no—
533C2×C4×D61—41no—
534C2×C4×D61—41no—
535C2×C4×D61C22×C411yescharacteristic
536C2×C4×D61C22×C411yescharacteristic
537C2×C4×D61C22×C411yescharacteristic
538C2×C4×D61C22×C411yescharacteristic
539C2×C4×D61C22×C411yescharacteristic
540C2×C4×D61C22×C411yescharacteristic
541C2×C4×D61C22×C411yescharacteristic
542C2×C4×D61C22×C411yescharacteristic
543C2×C4×D61C22×C411yescharacteristic
544C2×C4×D61C22×C411yescharacteristic
545C2×C4×D61C2411yescharacteristic
546C2×C4×D61C2411yescharacteristic
547C2×C4×D61C2411yescharacteristic
548C2×C4×D61C2411yescharacteristic
549C2×C4×D61C2411yescharacteristic
550C2×C4×D61C2411yescharacteristic
551C2×C4×D61C2411yescharacteristic
552C2×Dic122C22×C411yescharacteristic
553C2×Dic122C22×C411yescharacteristic
554C2×Dic122C22×C411yescharacteristic
555#11758217—22no—
556#11758217—41no—
557#11758217—41no—
558#11758217—41no—
559C2×#92420—22no—
560C2×#92420—41no—
561C2×#92420—41no—
562C2×#92420—41no—
563C2×#92420C2411yescharacteristic
564C2×#92420C2411yescharacteristic
565C2×#92420C2411yescharacteristic
566C2×#92420C2411yescharacteristic
567C2×#92420C2411yescharacteristic
568C2×#92420C2411yescharacteristic
569C2×#92420C2411yescharacteristic
570C2×#92420C2411yescharacteristic
571C2×#92420C2411yescharacteristic
572C2×#92420C2411yescharacteristic
573C2×#92420C2411yescharacteristic
574C2×#92420C2411yescharacteristic
575C2×#92420C2411yescharacteristic
576C2×#92420C2411yescharacteristic
577C2×#92420C2411yescharacteristic
578C2×#92420C2411yescharacteristic
579#11758213—22no—
580#11758213—22no—
581#11758213—22no—
582#11758213—22no—
583#11758213—22no—
584#11758213—41no—
585#11758213—41no—
586#11758213—41no—
587#11758213—41no—
588#11758213—41no—
589#11758213—41no—
590#11758213—41no—
591#11758213—41no—
592#11758213—41no—
593D61⋊C8—22no—
594D61⋊C8—22no—
595D61⋊C8—41no—
596D61⋊C8—41no—
597D61⋊C8—41no—
598D61⋊C8—41no—
599D61⋊C8—41no—
600D61⋊C8—41no—
601D61⋊C8—41no—
602D61⋊C8—41no—
603D61⋊C8—41no—
604D61⋊C8—41no—
605D61⋊C8—41no—
606D61⋊C8—41no—
607C4⋊C4×C61C22×C411yescharacteristic
608C4⋊C4×C61C22×C411yescharacteristic
609C4⋊C4×C61C22×C411yescharacteristic
610C4⋊C4×C61C22×C411yescharacteristic
611C4⋊C4×C61C22×C411yescharacteristic
612C4⋊C4×C61C22×C411yescharacteristic
613C4⋊C4×C61C22×C411yescharacteristic
614C4⋊C4×C61C22×C411yescharacteristic
615C4⋊C4×C61C22×C411yescharacteristic
616C4⋊C4×C61C22×C411yescharacteristic
617C4⋊C4×C61C22×C411yescharacteristic
618C4⋊C4×C61C22×C411yescharacteristic
619C4⋊C4×C61C22×C411yescharacteristic
620C4⋊C4×C61C22×C411yescharacteristic
621C4⋊C4×C61C22×C411yescharacteristic
622C4⋊C4×C61C22×C411yescharacteristic
623C22⋊C4×C61C22×C411yescharacteristic
624C22⋊C4×C61C22×C411yescharacteristic
625C22⋊C4×C61C22×C411yescharacteristic
626C22⋊C4×C61C22×C411yescharacteristic
627C22⋊C4×C61C22×C411yescharacteristic
628C22⋊C4×C61C22×C411yescharacteristic
629C22⋊C4×C61C22×C411yescharacteristic
630C22⋊C4×C61C22×C411yescharacteristic
631C22⋊C4×C61C22×C411yescharacteristic
632C22⋊C4×C61C22×C411yescharacteristic
633C42×C61C22×C411yescharacteristic
634C42×C61C22×C411yescharacteristic
635C42×C61C22×C411yescharacteristic
636C22⋊Dic61C22×C411yescharacteristic
637C22⋊Dic61C22×C411yescharacteristic
638#11758198C22×C411yescharacteristic
639#11758198C22×C411yescharacteristic
640#11758198C22×C411yescharacteristic
641#11758198C22×C411yescharacteristic
642#11758198C22×C411yescharacteristic
643#11758198C22×C411yescharacteristic
644#11758198C22×C411yescharacteristic
645#11758198C22×C411yescharacteristic
646#11758198C22×C411yescharacteristic
647#11758198C22×C411yescharacteristic
648#11758198C22×C411yescharacteristic
649#11758198C22×C411yescharacteristic
650#11758198C22×C411yescharacteristic
651#11758198C22×C411yescharacteristic
652#11758198C22×C411yescharacteristic
653#11758198C22×C411yescharacteristic
654#11758198C22×C411yescharacteristic
655#11758198C22×C411yescharacteristic
656#11758198C22×C411yescharacteristic
657#11758198C22×C411yescharacteristic
658#11758198C22×C411yescharacteristic
659#11758198C22×C411yescharacteristic
660#11758198C22×C411yescharacteristic
661#11758198C22×C411yescharacteristic
662#11758198C22×C411yescharacteristic
663#11758198C22×C411yescharacteristic
664#11758198C22×C411yescharacteristic
665#11758198C22×C411yescharacteristic
666#11758198C22×C411yescharacteristic
667#11758198C22×C411yescharacteristic
668#11758198C22×C411yescharacteristic
669#11758198C22×C411yescharacteristic
670#11758198C22×C411yescharacteristic
671#11758198C22×C411yescharacteristic
672#11758198C22×C411yescharacteristic
673#11758198C22×C411yescharacteristic
674C4⋊Dic61C22×C411yescharacteristic
675C4⋊Dic61C22×C411yescharacteristic
676C4⋊Dic61C22×C411yescharacteristic
677C4⋊Dic61C22×C411yescharacteristic
678#11758196C22×C411yescharacteristic
679#11758196C22×C411yescharacteristic
680#11758196C22×C411yescharacteristic
681#11758196C22×C411yescharacteristic
682#11758196C22×C411yescharacteristic
683#11758196C22×C411yescharacteristic
684#11758196C22×C411yescharacteristic
685#11758196C22×C411yescharacteristic
686#11758196C22×C411yescharacteristic
687#11758196C22×C411yescharacteristic
688#11758196C22×C411yescharacteristic
689#11758196C22×C411yescharacteristic
690#11758196C22×C411yescharacteristic
691#11758196C22×C411yescharacteristic
692#11758196C22×C411yescharacteristic
693#11758196C22×C411yescharacteristic
694C4×Dic61C22×C411yescharacteristic
695C4×Dic61C22×C411yescharacteristic
696C4×Dic61C22×C411yescharacteristic
697C4×Dic61C2411yescharacteristic
698C4×Dic61C2411yescharacteristic
699C4×Dic61C2411yescharacteristic
700C4×Dic61C2411yescharacteristic
701C4×Dic61C2411yescharacteristic
702C4×Dic61C2411yescharacteristic
703C23×C61C23×C411yescharacteristic
704C23×C61C23×C411yescharacteristic
705C22×D61—41no—
706C22×D61—41no—
707C22×D61—41no—
708C22×D61—41no—
709C22×D61—41no—
710C22×D61—41no—
711C22×D61C23×C411yescharacteristic
712C22×D61C23×C411yescharacteristic
713C22×D61C23×C411yescharacteristic
714C22×D61C23×C411yescharacteristic
715C22×D61C23×C411yescharacteristic
716C22×D61C23×C411yescharacteristic
717C22×D61C23×C411yescharacteristic
718Q8×C61—41no—
719Q8×C61—41no—
720Q8×C61—41no—
721D4×C61—41no—
722C2×C4×C61—41no—
723C2×C4×C61—41no—
724C2×C4×C61C23×C411yescharacteristic
725C2×C4×C61C23×C411yescharacteristic
726C2×C4×C61C23×C411yescharacteristic
727C2×C4×C61C23×C411yescharacteristic
728C2×C4×C61C23×C411yescharacteristic
729C2×C4×C61C23×C411yescharacteristic
730C2×C4×C61C23×C411yescharacteristic
731C2×C4×C61C23×C411yescharacteristic
732C2×C4×C61C23×C411yescharacteristic
733C2×C4×C61C23×C411yescharacteristic
734C2×C4×C61C23×C411yescharacteristic
735C2×C4×C61C23×C411yescharacteristic
736C2×C4×C61C23×C411yescharacteristic
737C22⋊D61—41no—
738C22⋊D61—41no—
739C22⋊D61—41no—
740C22⋊D61—41no—
741C22⋊D61—41no—
742C22⋊D61—41no—
743C22⋊D61—41no—
744C22⋊D61—41no—
745C22⋊D61—41no—
746C22⋊D61—41no—
747C2×Dic61—21no—
748C2×Dic61—21no—
749C2×Dic61—21no—
750C2×Dic61—21no—
751C2×Dic61C23×C411yescharacteristic
752C2×Dic61C23×C411yescharacteristic
753C2×Dic61C23×C411yescharacteristic
754C2×Dic61C23×C411yescharacteristic
755C2×Dic61C23×C411yescharacteristic
756C2×Dic61C23×C411yescharacteristic
757C2×Dic61C23×C411yescharacteristic
758C2×Dic61C23×C411yescharacteristic
759C2×Dic61C2511yescharacteristic
760D244—41no—
761D244—41no—
762D244—41no—
763D244—41no—
764D244—41no—
765D244—41no—
766D244—41no—
767D244—41no—
768D244—41no—
769D244—41no—
770D244—41no—
771D244—41no—
772D244—41no—
773D244—41no—
774D244—41no—
775D244—41no—
776D244—41no—
777D244—41no—
778D244—41no—
779C4×D61—21no—
780C4×D61—21no—
781C4×D61—21no—
782C4×D61—21no—
783C4×D61—21no—
784C4×D61—21no—
785C4×D61—21no—
786C4×D61—21no—
787C4×D61—21no—
788C4×D61—21no—
789C4×D61—21no—
790C4×D61—21no—
791C4×D61—21no—
792C4×D61—21no—
793C4×D61—41no—
794C4×D61—41no—
795C4×D61—41no—
796C4×D61—41no—
797C4×D61—41no—
798C4×D61—41no—
799C4×D61—41no—
800C4×D61—41no—
801C4×D61—41no—
802C4×D61—41no—
803Dic122—41no—
804Dic122—41no—
805Dic122—41no—
806#92420—21no—
807#92420—21no—
808#92420—21no—
809#92420—21no—
810#92420—21no—
811#92420—21no—
812#92420—21no—
813#92420—21no—
814#92420—21no—
815#92420—21no—
816#92420—21no—
817#92420—21no—
818#92420—21no—
819#92420—21no—
820#92420—21no—
821#92420H(5,𝔽2)12yes—
822#60327—611nomaximal, Sylow
823C22×C61—21no—
824C22×C61—21no—
825C22×C61—21no—
826C22×C61—21no—
827C22×C61—21no—
828C22×C61—21no—
829C22×C61C24×C411yescharacteristic
830C2×D61—21no—
831C2×D61—21no—
832C2×D61—21no—
833C2×D61—21no—
834C2×D61—21no—
835C2×D61—21no—
836C2×D61—21no—
837C2×D61—21no—
838C2×D61—21no—
839C2×D61—21no—
840C2×D61—21no—
841C2×D61—21no—
842C2×D61—21no—
843C2×D61—21no—
844C2×D61—21no—
845C2×D61—21no—
846C2×D61—21no—
847C2×D61—21no—
848C2×D61—21no—
849C2×D61—21no—
850C2×D61—21no—
851C2×D61—82no—
852C2×D61—82no—
853C4×C61—21no—
854C4×C61—21no—
855C4×C61—21no—
856C4×C61—21no—
857C4×C61—21no—
858C4×C61—21no—
859C4×C61—21no—
860C4×C61—21no—
861C4×C61—21no—
862C4×C61—21no—
863C4×C61—21no—
864C4×C61—21no—
865C4×C61—21no—
866Dic61—21no—
867Dic61—21no—
868Dic61—21no—
869Dic61—21no—
870Dic61—21no—
871Dic61—21no—
872Dic61—21no—
873Dic61—21no—
874Dic61C2×H(5,𝔽2)11yescharacteristic
875Dic61#58511yescharacteristic
876#3529—611no—
877#2995—611no—
878#2995—611no—
879#2994—611no—
880#2994—611no—
881#2992—611no—
882#2992—611no—
883#2981—611no—
884#2981—611no—
885#2980—611no—
886#2977—611no—
887#2977—611no—
888#2976—611no—
889#2976—611no—
890#2976—611no—
891#2976—611no—
892#2969—611no—
893#2969—611no—
894#2967—611no—
895#2967—611no—
896#2966—611no—
897#2966—611no—
898#2935—611no—
899#2935—611no—
900#2933—611no—
901#2933—611no—
902#2933—611no—
903#2933—611no—
904#2931—611no—
905#2930—611no—
906#2930—611no—
907C2×C61—41no—
908C2×C61—41no—
909C2×C61C4×H(5,𝔽2)11yescharacteristic
910C2×C61#357311yescharacteristic
911C2×C61#357311yescharacteristic
912D61—41no—
913D61—41no—
914D61—41no—
915D61—41no—
916D61—41no—
917D61—41no—
918D61—41no—
919C2×#131—611no—
920C2×#131—611no—
921C2×#131—611no—
922C2×#131—611no—
923C22×M16—611no—
924C22×M16—611no—
925#563—611no—
926#563—611no—
927#563#692311yescharacteristic
928#562—611no—
929#562—611no—
930#562—611no—
931#562—611no—
932#562—611no—
933#562—611no—
934H(3,𝔽4)—611no—
935#560—611no—
936#560—611no—
937#560—611no—
938#560—611no—
939#560—611no—
940#560—611no—
941#532—611no—
942#532—611no—
943#532—611no—
944#529—611no—
945#529—611no—
946#529—611no—
947#529—611no—
948#529—611no—
949#529—611no—
950#525—611no—
951#525—611no—
952#525—611no—
953#525—611no—
954#525—611no—
955#525—611no—
956#446—611no—
957#446—611no—
958#446—611no—
959#446—611no—
960#446—611no—
961#446—611no—
962C8×Q8—611no—
963C8×Q8—611no—
964#436—611no—
965#436—611no—
966#436—611no—
967#436—611no—
968#436—611no—
969#436—611no—
970#436—611no—
971#436—611no—
972#436—611no—
973#436—611no—
974#436—611no—
975#436—611no—
976#436—611no—
977#436—611no—
978#436—611no—
979#436—611no—
980#436—611no—
981#436—611no—
982#435—611no—
983#435—611no—
984#435—611no—
985#435—611no—
986#435—611no—
987#435—611no—
988#435—611no—
989#435—611no—
990#435—611no—
991#435—611no—
992#435—611no—
993#435—611no—
994#435—611no—
995#435—611no—
996#435—611no—
997#435—611no—
998#435—611no—
999#435—611no—
1000#435—611no—
1001#435—611no—
1002#435—611no—
1003#435—611no—
1004#435—611no—
1005#435—611no—
1006#435—611no—
1007#435—611no—
1008#435—611no—
1009#435—611no—
1010#435—611no—
1011#435—611no—
1012#435—611no—
1013#435—611no—
1014#435—611no—
1015#435—611no—
1016#435—611no—
1017#435—611no—
1018C8×D4—611no—
1019C8×D4—611no—
1020C8×D4—611no—
1021C8×D4—611no—
1022C8×D4—611no—
1023C8×D4—611no—
1024C8×D4—611no—
1025C8×D4—611no—
1026C8×D4—611no—
1027C8×D4—611no—
1028C8×D4—611no—
1029C8×D4—611no—
1030C8×D4—611no—
1031C8×D4—611no—
1032C8×D4—611no—
1033C8×D4—611no—
1034C8×D4—611no—
1035C8×D4—611no—
1036#433—611no—
1037#433—611no—
1038#433—611no—
1039#433—611no—
1040#433—611no—
1041#433—611no—
1042#433—611no—
1043#433—611no—
1044#433—611no—
1045#433—611no—
1046#433—611no—
1047#433—611no—
1048#432—611no—
1049#432—611no—
1050#432—611no—
1051#432—611no—
1052#431—611no—
1053#431—611no—
1054#424—611no—
1055#424—611no—
1056#424—611no—
1057#424—611no—
1058#424—611no—
1059#424—611no—
1060#423—611no—
1061C2×C4⋊C8—611no—
1062C2×C4⋊C8—611no—
1063#408—611no—
1064#408—611no—
1065#408—611no—
1066#408—611no—
1067#408—611no—
1068#408—611no—
1069#408—611no—
1070#408—611no—
1071#408—611no—
1072#408—611no—
1073#408—611no—
1074#408—611no—
1075#407—611no—
1076#407—611no—
1077C2×C22⋊C8—611no—
1078C2×C22⋊C8—611no—
1079C2×C22⋊C8—611no—
1080C2×C22⋊C8—611no—
1081#405—611no—
1082#405—611no—
1083#405—611no—
1084#405—611no—
1085#405—611no—
1086#405—611no—
1087C4×M16—611no—
1088C4×M16—611no—
1089C2×C4×C8—611no—
1090C61#6032711yescharacteristic, complemented, Sylow
1091C2×#41—611no—
1092C2×#41—611no—
1093C2×#41—611no—
1094C2×#41—611no—
1095C23×C4—611no—
1096C23×C4—611no—
1097#131—2442no—
1098#131—2442no—
1099#131—2442no—
1100#131—2442no—
1101C2×M16—611no—
1102C2×M16—611no—
1103C2×M16—611no—
1104C2×M16—611no—
1105C2×M16—611no—
1106C2×M16—611no—
1107C2×M16—611no—
1108C2×M16—611no—
1109C2×M16—611no—
1110C2×M16—611no—
1111C2×M16—611no—
1112C2×M16—611no—
1113C2×M16—611no—
1114C2×M16—611no—
1115C2×M16—611no—
1116C2×M16—611no—
1117C2×M16—611no—
1118C2×M16—611no—
1119C2×M16—2442no—
1120C2×M16—2442no—
1121C22×C8—611no—
1122C22×C8—611no—
1123C22×C8—611no—
1124C22×C8—611no—
1125C22×C8—611no—
1126C22×C8—611no—
1127C22×C8—611no—
1128C22×C8—611no—
1129C22×C8—611no—
1130C22×C8—611no—
1131C22×C8—611no—
1132C22×C8—611no—
1133C22×C8—611no—
1134C22×C8—611no—
1135C22×C8—611no—
1136C22×C8—611no—
1137C22×C8—611no—
1138C22×C8—611no—
1139C4⋊Q8—611no—
1140C4⋊Q8C2×#692311yescharacteristic
1141C4⋊Q8C2×#692311yescharacteristic
1142#127—611no—
1143#127—611no—
1144#127—611no—
1145#126—611no—
1146#126—611no—
1147#126—611no—
1148#126—611no—
1149#126—611no—
1150#126—611no—
1151#126—611no—
1152#126—611no—
1153#126C2×#692311yescharacteristic
1154#126C2×#692311yescharacteristic
1155#126C2×#692311yescharacteristic
1156#126C2×#692311yescharacteristic
1157#125—611no—
1158#125—611no—
1159#125—611no—
1160#125—611no—
1161#125C2×#692311yescharacteristic
1162#125C2×#692311yescharacteristic
1163#124—611no—
1164#124—611no—
1165#124—611no—
1166#124—611no—
1167#124—611no—
1168#124—611no—
1169#124—611no—
1170#124—611no—
1171#124—611no—
1172#124—611no—
1173#124—611no—
1174#124C2×#692311yescharacteristic
1175#123—611no—
1176#123—611no—
1177#123—611no—
1178#123—611no—
1179#123—611no—
1180#123—611no—
1181#123—611no—
1182#123—611no—
1183#123—611no—
1184#123—611no—
1185#123—611no—
1186#123—611no—
1187#123—611no—
1188#123—611no—
1189#123—611no—
1190#123—611no—
1191#123—611no—
1192#123—611no—
1193#123—611no—
1194#123—611no—
1195#123—611no—
1196#123—611no—
1197#123C2×#692311yescharacteristic
1198#123C2×#692311yescharacteristic
1199C22⋊Q8—611no—
1200C22⋊Q8—611no—
1201C22⋊Q8—611no—
1202C22⋊Q8—611no—
1203C22⋊Q8—611no—
1204C22⋊Q8—611no—
1205C22⋊Q8—611no—
1206C22⋊Q8—611no—
1207C22⋊Q8—611no—
1208C22⋊Q8—611no—
1209C22⋊Q8—611no—
1210C22⋊Q8—611no—
1211C22⋊Q8—611no—
1212C22⋊Q8—611no—
1213C22⋊Q8C2×#692311yescharacteristic
1214C22⋊Q8C2×#692311yescharacteristic
1215C22⋊Q8C2×#692311yescharacteristic
1216C22⋊Q8C2×#692311yescharacteristic
1217#121—611no—
1218#121—611no—
1219#121—611no—
1220#121—611no—
1221#121—611no—
1222#121—611no—
1223#121—611no—
1224#121—611no—
1225#121—611no—
1226#121—611no—
1227#121—611no—
1228#121—611no—
1229#121—611no—
1230#121—611no—
1231#121—611no—
1232#121—611no—
1233#121—611no—
1234#121—611no—
1235#121—611no—
1236#121—611no—
1237#121—611no—
1238#121—611no—
1239#121—611no—
1240#121—611no—
1241#121—611no—
1242#121—611no—
1243#121—611no—
1244#121—611no—
1245#121—611no—
1246#121—611no—
1247#120—611no—
1248#120—611no—
1249#120—611no—
1250#120—611no—
1251#120—611no—
1252#120—611no—
1253#120—611no—
1254#120—611no—
1255#120—611no—
1256#120—611no—
1257#120—611no—
1258#120—611no—
1259C4×Q8—611no—
1260C4×Q8—611no—
1261C4×D4—611no—
1262C4×D4—611no—
1263C4×D4—611no—
1264C4×D4—611no—
1265C4×D4—611no—
1266C4×D4—611no—
1267C4×D4—611no—
1268C4×D4—611no—
1269C4×D4—611no—
1270C4×D4—611no—
1271C4×D4—611no—
1272C4×D4—611no—
1273C4×D4—611no—
1274C4×D4—611no—
1275C4×D4—611no—
1276C4×D4—611no—
1277C4×D4—611no—
1278C4×D4—611no—
1279#117—611no—
1280#117—611no—
1281#117—611no—
1282#117—611no—
1283#117—611no—
1284#117—611no—
1285C2×C42—611no—
1286C2×C42—611no—
1287C2×C42—611no—
1288C4⋊C8—611no—
1289C4⋊C8—611no—
1290C4⋊C8—611no—
1291C4⋊C8—611no—
1292C4⋊C8—611no—
1293C4⋊C8—611no—
1294C4⋊C8—611no—
1295C4⋊C8—611no—
1296C4⋊C8—611no—
1297C4⋊C8—611no—
1298C4⋊C8—611no—
1299C4⋊C8—611no—
1300C4⋊C8—611no—
1301C4⋊C8—611no—
1302C4⋊C8—611no—
1303C4⋊C8—611no—
1304C4⋊C8—611no—
1305C4⋊C8—611no—
1306C4⋊C8—611no—
1307C4⋊C8—611no—
1308C4⋊C8—611no—
1309C4⋊C8—611no—
1310C4⋊C8—611no—
1311C4⋊C8—611no—
1312C22⋊C8—611no—
1313C22⋊C8—611no—
1314C22⋊C8—611no—
1315C22⋊C8—611no—
1316C22⋊C8—611no—
1317C22⋊C8—611no—
1318C22⋊C8—611no—
1319C22⋊C8—611no—
1320C22⋊C8—611no—
1321C22⋊C8—611no—
1322C22⋊C8—611no—
1323C22⋊C8—611no—
1324C22⋊C8—611no—
1325C22⋊C8—611no—
1326C22⋊C8—611no—
1327C22⋊C8—611no—
1328C22⋊C8—611no—
1329C22⋊C8—611no—
1330C22⋊C8—611no—
1331C22⋊C8—611no—
1332C22⋊C8—611no—
1333C22⋊C8—611no—
1334C22⋊C8—611no—
1335C22⋊C8—611no—
1336C22⋊C8—611no—
1337C22⋊C8—611no—
1338C22⋊C8—611no—
1339C22⋊C8—611no—
1340C22⋊C8—611no—
1341C22⋊C8—611no—
1342C22⋊C8—611no—
1343C22⋊C8—611no—
1344C22⋊C8—611no—
1345C22⋊C8—611no—
1346C22⋊C8—611no—
1347C22⋊C8—611no—
1348#97—611no—
1349#97—611no—
1350#97—611no—
1351#97—611no—
1352#97—611no—
1353#97—611no—
1354#97—611no—
1355#97—611no—
1356#97—611no—
1357#97—611no—
1358#97—611no—
1359#97—611no—
1360C4×C8—611no—
1361C4×C8—611no—
1362C4×C8—611no—
1363C4×C8—611no—
1364C4×C8—611no—
1365C4×C8—611no—
1366C4×C8—611no—
1367C4×C8—611no—
1368C4×C8—611no—
1369C4×C8—611no—
1370C4×C8—611no—
1371C4×C8—611no—
1372C24—611no—
1373C24—611no—
1374#41—2441no—
1375#41—2441no—
1376#41—2441no—
1377#41—2441no—
1378#41—2441no—
1379#41—2441no—
1380#41—2441no—
1381#41—2441no—
1382C2×Q8—611no—
1383C2×Q8—611no—
1384C2×Q8—611no—
1385C2×Q8C22×#692311yescharacteristic
1386C2×Q8C22×#692311yescharacteristic
1387C2×Q8C22×#692311yescharacteristic
1388C2×D4—611no—
1389C2×D4—611no—
1390C2×D4—611no—
1391C2×D4—611no—
1392C2×D4—611no—
1393C2×D4—611no—
1394C2×D4—611no—
1395C2×D4—611no—
1396C2×D4—611no—
1397C2×D4—611no—
1398C2×D4—611no—
1399C2×D4—611no—
1400C2×D4—611no—
1401C2×D4—611no—
1402C2×D4—611no—
1403C2×D4—611no—
1404C2×D4—611no—
1405C2×D4—611no—
1406C2×D4—611no—
1407C2×D4—611no—
1408C2×D4—611no—
1409C2×D4—611no—
1410C2×D4—611no—
1411C2×D4—611no—
1412C2×D4—611no—
1413C2×D4—611no—
1414C2×D4—611no—
1415C2×D4—611no—
1416C2×D4—611no—
1417C2×D4C22×#692311yescharacteristic
1418C22×C4—611no—
1419C22×C4—611no—
1420C22×C4—611no—
1421C22×C4—611no—
1422C22×C4—611no—
1423C22×C4—611no—
1424C22×C4—611no—
1425C22×C4—611no—
1426C22×C4—611no—
1427C22×C4—611no—
1428C22×C4—611no—
1429C22×C4—611no—
1430C22×C4—611no—
1431C22×C4—611no—
1432C22×C4—611no—
1433C22×C4—611no—
1434C22×C4—611no—
1435C22×C4—611no—
1436C22×C4—611no—
1437C22×C4—2441no—
1438C22×C4—2441no—
1439C22×C4—2441no—
1440C22×C4—2441no—
1441C22×C4C22×#692311yescharacteristic
1442C22×C4C22×#692311yescharacteristic
1443M16—1222no—
1444M16—1222no—
1445M16—1222no—
1446M16—1222no—
1447M16—1222no—
1448M16—1222no—
1449M16—2441no—
1450M16—2441no—
1451M16—2441no—
1452M16—2441no—
1453M16—2441no—
1454M16—2441no—
1455M16—2441no—
1456M16—2441no—
1457M16—2441no—
1458M16—2441no—
1459M16—2441no—
1460M16—2441no—
1461C2×C8—611no—
1462C2×C8—611no—
1463C2×C8—611no—
1464C2×C8—611no—
1465C2×C8—611no—
1466C2×C8—611no—
1467C2×C8—611no—
1468C2×C8—611no—
1469C2×C8—611no—
1470C2×C8—611no—
1471C2×C8—611no—
1472C2×C8—611no—
1473C2×C8—611no—
1474C2×C8—611no—
1475C2×C8—611no—
1476C2×C8—611no—
1477C2×C8—1222no—
1478C2×C8—1222no—
1479C2×C8—1222no—
1480C2×C8—2441no—
1481C2×C8—2441no—
1482C2×C8—2441no—
1483C2×C8—2441no—
1484C2×C8—2441no—
1485C2×C8—2441no—
1486C2×C8—2441no—
1487C2×C8—2441no—
1488C2×C8—2441no—
1489C2×C8—2441no—
1490C2×C8—2441no—
1491C2×C8—2441no—
1492C2×C8—2441no—
1493C2×C8—2441no—
1494C2×C8—2441no—
1495C4⋊C4—611no—
1496C4⋊C4—611no—
1497C4⋊C4—611no—
1498C4⋊C4—611no—
1499C4⋊C4—611no—
1500C4⋊C4—611no—
1501C4⋊C4—611no—
1502C4⋊C4—611no—
1503C4⋊C4—611no—
1504C4⋊C4—611no—
1505C4⋊C4—611no—
1506C4⋊C4—611no—
1507C4⋊C4—611no—
1508C4⋊C4—611no—
1509C4⋊C4—611no—
1510C4⋊C4—611no—
1511C4⋊C4—611no—
1512C4⋊C4—611no—
1513C4⋊C4—611no—
1514C4⋊C4—611no—
1515C4⋊C4C22×#692311yescharacteristic
1516C4⋊C4C22×#692311yescharacteristic
1517C4⋊C4C22×#692311yescharacteristic
1518C4⋊C4C22×#692311yescharacteristic
1519C4⋊C4C22×#692311yescharacteristic
1520C4⋊C4C22×#692311yescharacteristic
1521C4⋊C4C22×#692311yescharacteristic
1522C4⋊C4C22×#692311yescharacteristic
1523C4⋊C4C22×#692311yescharacteristic
1524C4⋊C4C22×#692311yescharacteristic
1525C4⋊C4C22×#692311yescharacteristic
1526C4⋊C4C22×#692311yescharacteristic
1527C4⋊C4C22×#692311yescharacteristic
1528C4⋊C4C22×#692311yescharacteristic
1529C4⋊C4C22×#692311yescharacteristic
1530C4⋊C4C22×#692311yescharacteristic
1531C22⋊C4—611no—
1532C22⋊C4—611no—
1533C22⋊C4—611no—
1534C22⋊C4—611no—
1535C22⋊C4—611no—
1536C22⋊C4—611no—
1537C22⋊C4—611no—
1538C22⋊C4—611no—
1539C22⋊C4—611no—
1540C22⋊C4—611no—
1541C22⋊C4—611no—
1542C22⋊C4—611no—
1543C22⋊C4—611no—
1544C22⋊C4—611no—
1545C22⋊C4—611no—
1546C22⋊C4—611no—
1547C22⋊C4—611no—
1548C22⋊C4—611no—
1549C22⋊C4—611no—
1550C22⋊C4—611no—
1551C22⋊C4—611no—
1552C22⋊C4—611no—
1553C22⋊C4—611no—
1554C22⋊C4—611no—
1555C22⋊C4—611no—
1556C22⋊C4—611no—
1557C22⋊C4—611no—
1558C22⋊C4—611no—
1559C22⋊C4—611no—
1560C22⋊C4—611no—
1561C22⋊C4—611no—
1562C22⋊C4—611no—
1563C22⋊C4—611no—
1564C22⋊C4—611no—
1565C22⋊C4—611no—
1566C22⋊C4—611no—
1567C22⋊C4—611no—
1568C22⋊C4—611no—
1569C22⋊C4C22×#692311yescharacteristic
1570C22⋊C4C22×#692311yescharacteristic
1571C22⋊C4C22×#692311yescharacteristic
1572C22⋊C4C22×#692311yescharacteristic
1573C22⋊C4C22×#692311yescharacteristic
1574C22⋊C4C22×#692311yescharacteristic
1575C22⋊C4C22×#692311yescharacteristic
1576C22⋊C4C22×#692311yescharacteristic
1577C22⋊C4C22×#692311yescharacteristic
1578C22⋊C4C22×#692311yescharacteristic
1579C42—611no—
1580C42—611no—
1581C42—611no—
1582C42—611no—
1583C42—611no—
1584C42—611no—
1585C42—611no—
1586C42—611no—
1587C42—611no—
1588C42C22×#692311yescharacteristic
1589C42C22×#692311yescharacteristic
1590C42C22×#692311yescharacteristic
1591C23—611no—
1592C23—611no—
1593C23—611no—
1594C23—611no—
1595C23—611no—
1596C23—611no—
1597C23—611no—
1598C23—2441no—
1599C23—2441no—
1600C23—2441no—
1601C23—2441no—
1602C23—2441no—
1603C23—2441no—
1604C23C23×#692311yescharacteristic
1605C23C23×#692311yescharacteristic
1606Q8—41no—
1607Q8—41no—
1608Q8—41no—
1609Q8—2441no—
1610Q8—2441no—
1611Q8—2441no—
1612D4—41no—
1613D4—2441no—
1614D4—2441no—
1615D4—2441no—
1616D4—2441no—
1617D4—2441no—
1618D4—2441no—
1619D4—2441no—
1620D4—2441no—
1621D4—2441no—
1622D4—2441no—
1623D4—2441no—
1624D4—2441no—
1625D4—2441no—
1626D4—2441no—
1627D4—2441no—
1628D4—2441no—
1629D4—2441no—
1630D4—2441no—
1631D4—2441no—
1632D4—2441no—
1633D4—2441no—
1634D4—2441no—
1635D4—2441no—
1636D4—2441no—
1637D4—2441no—
1638D4—2441no—
1639D4—2441no—
1640D4—2441no—
1641D4—2441no—
1642C2×C4—41no—
1643C2×C4—41no—
1644C2×C4—611no—
1645C2×C4—611no—
1646C2×C4—611no—
1647C2×C4—611no—
1648C2×C4—611no—
1649C2×C4—611no—
1650C2×C4—611no—
1651C2×C4—611no—
1652C2×C4—611no—
1653C2×C4—1221no—
1654C2×C4—1221no—
1655C2×C4—1221no—
1656C2×C4—1221no—
1657C2×C4—1221no—
1658C2×C4—1221no—
1659C2×C4—1221no—
1660C2×C4—1221no—
1661C2×C4—1221no—
1662C2×C4—1221no—
1663C2×C4—1221no—
1664C2×C4—1221no—
1665C2×C4—1221no—
1666C2×C4—1221no—
1667C2×C4—1221no—
1668C2×C4—1221no—
1669C2×C4—1221no—
1670C2×C4—1221no—
1671C2×C4—2441no—
1672C2×C4—2441no—
1673C2×C4—2441no—
1674C2×C4—2441no—
1675C2×C4—2441no—
1676C2×C4—2441no—
1677C2×C4—2441no—
1678C2×C4—2441no—
1679C2×C4—2441no—
1680C2×C4—2441no—
1681C2×C4C23×#692311yescharacteristic
1682C2×C4C23×#692311yescharacteristic
1683C2×C4C23×#692311yescharacteristic
1684C2×C4C23×#692311yescharacteristic
1685C2×C4C23×#692311yescharacteristic
1686C2×C4C23×#692311yescharacteristic
1687C2×C4C23×#692311yescharacteristic
1688C2×C4C23×#692311yescharacteristic
1689C2×C4C23×#692311yescharacteristic
1690C2×C4C23×#692311yescharacteristic
1691C2×C4C23×#692311yescharacteristic
1692C2×C4C23×#692311yescharacteristic
1693C2×C4C23×#692311yescharacteristic
1694C8—612no—
1695C8—1221no—
1696C8—1221no—
1697C8—1221no—
1698C8—1221no—
1699C8—1221no—
1700C8—1221no—
1701C8—1221no—
1702C8—1221no—
1703C8—1221no—
1704C8—1221no—
1705C8—1221no—
1706C8—1221no—
1707C8—1221no—
1708C8—1221no—
1709C8—1221no—
1710C22—21no—
1711C22—21no—
1712C22—21no—
1713C22—21no—
1714C22—21no—
1715C22—21no—
1716C22—1221no—
1717C22—1221no—
1718C22—1221no—
1719C22—1221no—
1720C22—1221no—
1721C22—1221no—
1722C22—1221no—
1723C22—1221no—
1724C22—1221no—
1725C22—1221no—
1726C22—1221no—
1727C22—1221no—
1728C22—1221no—
1729C22—1221no—
1730C22—1221no—
1731C22—1221no—
1732C22—1221no—
1733C22—1221no—
1734C22—1221no—
1735C22—1221no—
1736C22—1221no—
1737C22—4882no—
1738C22—4882no—
1739C22C24×#692311yescharacteristic
1740C4—21no—
1741C4—21no—
1742C4—21no—
1743C4—21no—
1744C4—21no—
1745C4—21no—
1746C4—21no—
1747C4—21no—
1748C4—21no—
1749C4—21no—
1750C4—21no—
1751C4—21no—
1752C4—21no—
1753C4—611no—
1754C4—611no—
1755C4—1221no—
1756C4—1221no—
1757C4—1221no—
1758C4—1221no—
1759C4—1221no—
1760C4—1221no—
1761C4—1221no—
1762C4—1221no—
1763C2—41no—
1764C2—41no—
1765C2—2441no—
1766C2—2441no—
1767C2—2441no—
1768C2—2441no—
1769C2—2441no—
1770C2—2441no—
1771C2—2441no—
1772C2H(5,𝔽2)×#692311yescharacteristic
1773C2#2146281511yescharacteristic
1774C2#2146281511yescharacteristic
subgroupG/H
center, FrattiniC22C24×#6923
commutator, socleC22×C61C24×C4
FittingC61×#563C4
prime radical#21459960C2
cosocleC2×Dic61C25
hypercenter#563#6923
hypocenterC61#60327
LCSG ▷ C22×C61 ▷ C61
UCSC1 ◁ C22 ◁ #563

Complements

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

NH ≅ G/Ntype
1. #21462774C2semidirect
2. #21462774C2semidirect
3. #21462771C2semidirect
4. #21462768C2semidirect
5. #21462759C2semidirect
6. #21462757C2semidirect
7. #21462711C2semidirect
8. #21462710C2semidirect
9. #21462706C2semidirect
10. #21462694C2semidirect
11. #21462693C2semidirect
12. #21462690C2semidirect
13. #21462690C2semidirect
14. #21462689C2semidirect
15. #21462687C2semidirect
16. #21462655C2semidirect
17. #21462654C2semidirect
18. #21462643C2semidirect
19. #21462642C2semidirect
20. #21462637C2semidirect
21. #21462637C2semidirect
22. #21462565C2semidirect
23. #21462564C2semidirect
24. #21462554C2semidirect
25. #21462553C2semidirect
26. #21462552C2semidirect
27. #21462552C2semidirect
28. #21462544C2semidirect
29. #21462540C2semidirect
30. #21462539C2semidirect
34. C2×#14519865C22semidirect
36. C22×#11758213C22semidirect
37. C2×D61⋊M16C22semidirect
38. #16840814C22semidirect
39. #16840814C22semidirect
40. #16840814C22semidirect
41. #16840814C22semidirect
42. #16840812C22semidirect
43. #16840812C22semidirect
44. #16840811C22semidirect
45. #16840811C22semidirect
48. #16840796C22semidirect
49. #16840796C22semidirect
50. #16840796C22semidirect
51. #16840796C22semidirect
52. #16840796C22semidirect
53. #16840796C22semidirect
54. #16840796C22semidirect
55. #16840796C22semidirect
60. #16840795C22semidirect
61. #16840795C22semidirect
62. #16840795C22semidirect
63. #16840795C22semidirect
68. #16840794C22semidirect
69. #16840794C22semidirect
70. #16840794C22semidirect
71. #16840794C22semidirect
76. #16840792C22semidirect
77. #16840792C22semidirect
78. #16840792C22semidirect
79. #16840792C22semidirect
80. #16840792C22semidirect
81. #16840792C22semidirect
82. #16840792C22semidirect
83. #16840792C22semidirect
84. #16840792C22semidirect
85. #16840792C22semidirect
86. #16840792C22semidirect
87. #16840792C22semidirect
88. #16840792C22semidirect
89. #16840792C22semidirect
90. #16840792C22semidirect
91. #16840792C22semidirect
96. #16840791C22semidirect
97. #16840791C22semidirect
98. #16840791C22semidirect
99. #16840791C22semidirect
102. #16840790C22semidirect
103. #16840790C22semidirect
104. #16840790C22semidirect
105. #16840790C22semidirect
106. #16840790C22semidirect
107. #16840790C22semidirect
108. #16840790C22semidirect
109. #16840790C22semidirect
114. #16840789C22semidirect
115. #16840789C22semidirect
116. #16840789C22semidirect
117. #16840789C22semidirect
118. #16840787C22semidirect
119. #16840787C22semidirect
120. #16840787C22semidirect
121. #16840787C22semidirect
122. #16840787C22semidirect
123. #16840787C22semidirect
124. #16840787C22semidirect
125. #16840787C22semidirect
126. #16840786C22semidirect
127. #16840786C22semidirect
128. #16840786C22semidirect
129. #16840786C22semidirect
130. #16840785C22semidirect
131. #16840785C22semidirect
132. #16840785C22semidirect
133. #16840784C22semidirect
134. #16840781C22semidirect
135. #16840780C22semidirect
136. #16840769C22semidirect
137. #16840769C22semidirect
138. #16840769C22semidirect
139. #16840769C22semidirect
140. #16840768C22semidirect
141. #16840768C22semidirect
142. #16840766C22semidirect
143. D61⋊(C4⋊C8)C22semidirect
144. D61⋊(C4⋊C8)C22semidirect
151. #16840737C22semidirect
152. #16840737C22semidirect
153. #16840737C22semidirect
157. #16840734C22semidirect
158. #16840733C22semidirect
159. C2×#14519834C22semidirect
160. D61⋊(C22⋊C8)C22semidirect
161. D61⋊(C22⋊C8)C22semidirect
162. D61⋊(C22⋊C8)C22semidirect
163. #16840727C22semidirect
164. #16840727C22semidirect
165. #16840727C22semidirect
166. #16840727C22semidirect
167. #16840726C22semidirect
168. #16840726C22semidirect
169. C4×#11758213C22semidirect
170. C4×#11758213C22semidirect
171. C4×D61⋊C8C22semidirect
1090. C61#60327semidirect

Maximal subgroups

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

subgroupindex
#214627742
#214627712
#214627682
#214627592
#214627572
#214627112
#214627102
#214627062
#214626942
#214626932
#214626902
#214626892
#214626872
#214626552
#214626542
#214626432
#214626422
#214626372
#214625652
#214625642
#214625542
#214625532
#214625522
#214625442
#214625402
#214625392
#214599602
#6032761