Finite Group Databasebeta

← #30626550

Subgroups — #30626550

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#21462773C211yesmaximal, characteristic, complemented
2#21462772C211yesmaximal, characteristic, complemented
3#21462768C211yesmaximal, characteristic, complemented
4#21462767C211yesmaximal, characteristic, complemented
5#21462757C211yesmaximal, characteristic, complemented
6#21462755C211yesmaximal, characteristic, complemented
7#21462709C211yesmaximal, characteristic, complemented
8#21462708C211yesmaximal, characteristic, complemented
9#21462703C211yesmaximal, characteristic, complemented
10#21462692C211yesmaximal, characteristic, complemented
11#21462691C211yesmaximal, characteristic, complemented
12#21462687C211yesmaximal, characteristic, complemented
13#21462686C211yesmaximal, characteristic, complemented
14#21462685C211yesmaximal, characteristic, complemented
15#21462685C211yesmaximal, characteristic, complemented
16#21462654C211yesmaximal, characteristic, complemented
17#21462650C211yesmaximal, characteristic, complemented
18#21462642C211yesmaximal, characteristic, complemented
19#21462641C211yesmaximal, characteristic, complemented
20#21462634C211yesmaximal, characteristic, complemented
21#21462632C211yesmaximal, characteristic, complemented
22#21462563C211yesmaximal, characteristic, complemented
23#21462562C211yesmaximal, characteristic, complemented
24#21462553C211yesmaximal, characteristic, complemented
25#21462551C211yesmaximal, characteristic, complemented
26#21462551C211yesmaximal, characteristic, complemented
27#21462550C211yesmaximal, characteristic, complemented
28#21462542C211yesmaximal, characteristic, complemented
29#21462538C211yesmaximal, characteristic, complemented
30#21462537C211yesmaximal, characteristic, complemented
31#21459954C211yesmaximal, characteristic
32C2×#14519864C2211yescharacteristic
33C2×#14519864C2211yescharacteristic
34C2×#14519864C2211yescharacteristic
35C2×#14519864C2211yescharacteristic, complemented
36C2×D61⋊M16C2211yescharacteristic, complemented
37C22×#11758217C2211yescharacteristic, 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#16840797C2211yescharacteristic
47#16840797C2211yescharacteristic
48#16840797C2211yescharacteristic, complemented
49#16840797C2211yescharacteristic, complemented
50#16840797C2211yescharacteristic, complemented
51#16840797C2211yescharacteristic, complemented
52#16840797C2211yescharacteristic, complemented
53#16840797C2211yescharacteristic, 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#16840793C2211yescharacteristic
73#16840793C2211yescharacteristic
74#16840793C2211yescharacteristic
75#16840793C2211yescharacteristic
76#16840793C2211yescharacteristic, complemented
77#16840793C2211yescharacteristic, complemented
78#16840793C2211yescharacteristic, complemented
79#16840793C2211yescharacteristic, complemented
80#16840793C2211yescharacteristic, complemented
81#16840793C2211yescharacteristic, complemented
82#16840793C2211yescharacteristic, complemented
83#16840793C2211yescharacteristic, complemented
84#16840793C2211yescharacteristic, complemented
85#16840793C2211yescharacteristic, complemented
86#16840793C2211yescharacteristic, complemented
87#16840793C2211yescharacteristic, 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, complemented
101#16840790C2211yescharacteristic, complemented
102#16840789C2211yescharacteristic
103#16840789C2211yescharacteristic
104#16840789C2211yescharacteristic
105#16840789C2211yescharacteristic
106#16840789C2211yescharacteristic, complemented
107#16840789C2211yescharacteristic, complemented
108#16840789C2211yescharacteristic, complemented
109#16840789C2211yescharacteristic, complemented
110D4×#92420C2211yescharacteristic
111D4×#92420C2211yescharacteristic
112D4×#92420C2211yescharacteristic, complemented
113D4×#92420C2211yescharacteristic, complemented
114D4×#92420C2211yescharacteristic, complemented
115D4×#92420C2211yescharacteristic, complemented
116D4×#92420C2211yescharacteristic, complemented
117D4×#92420C2211yescharacteristic, complemented
118#16840787C2211yescharacteristic, complemented
119#16840787C2211yescharacteristic, complemented
120#16840787C2211yescharacteristic, complemented
121#16840787C2211yescharacteristic, complemented
122#16840786C2211yescharacteristic, complemented
123#16840786C2211yescharacteristic, complemented
124#16840786C2211yescharacteristic, complemented
125#16840786C2211yescharacteristic, complemented
126#16840786C2211yescharacteristic, complemented
127#16840786C2211yescharacteristic, complemented
128#16840786C2211yescharacteristic, complemented
129#16840786C2211yescharacteristic, complemented
130#16840784C2211yescharacteristic, complemented
131#16840783C2211yescharacteristic, complemented
132#16840783C2211yescharacteristic, complemented
133#16840782C2211yescharacteristic, complemented
134#16840780C2211yescharacteristic, complemented
135#16840778C2211yescharacteristic, complemented
136#16840769C2211yescharacteristic, complemented
137#16840769C2211yescharacteristic, complemented
138#16840768C2211yescharacteristic, complemented
139#16840768C2211yescharacteristic, complemented
140#16840768C2211yescharacteristic, complemented
141#16840768C2211yescharacteristic, complemented
142#16840765C2211yescharacteristic, complemented
143C2×#14519844C2211yescharacteristic, complemented
144D61⋊(C4⋊C8)C2211yescharacteristic, complemented
145#16840736C2211yescharacteristic
146#16840736C2211yescharacteristic
147#16840736C2211yescharacteristic
148#16840736C2211yescharacteristic, complemented
149#16840735C2211yescharacteristic
150#16840735C2211yescharacteristic
151#16840735C2211yescharacteristic
152#16840735C2211yescharacteristic
153#16840735C2211yescharacteristic
154#16840735C2211yescharacteristic
155#16840735C2211yescharacteristic, complemented
156#16840735C2211yescharacteristic, complemented
157#16840733C2211yescharacteristic, complemented
158#16840732C2211yescharacteristic, complemented
159C2×#14519834C2211yescharacteristic, complemented
160D61⋊(C22⋊C8)C2211yescharacteristic, complemented
161C2×C22⋊#92420C2211yescharacteristic, complemented
162C2×C22⋊#92420C2211yescharacteristic, complemented
163#16840727C2211yescharacteristic, complemented
164#16840727C2211yescharacteristic, complemented
165#16840726C2211yescharacteristic, complemented
166#16840726C2211yescharacteristic, complemented
167#16840726C2211yescharacteristic, complemented
168#16840726C2211yescharacteristic, complemented
169C4×#11758213C2211yescharacteristic, complemented
170C4×#11758217C2211yescharacteristic, complemented
171C2×C4×#92420C2211yescharacteristic, complemented
172#16840515C411yescharacteristic
173#16840514C411yescharacteristic
174#16840514C411yescharacteristic
175#16840509C411yescharacteristic
176#16840509C411yescharacteristic
177#16840507C411yescharacteristic
178#16840507C411yescharacteristic
179#16840507C411yescharacteristic
180#16840507C411yescharacteristic
181#16840505C411yescharacteristic
182#16840501C411yescharacteristic
183#16840501C411yescharacteristic
184#16840500C411yescharacteristic
185#16840500C411yescharacteristic
186#16840499C411yescharacteristic
187#16840310C2211yescharacteristic
188#16840307C2211yescharacteristic
189#16840307C2211yescharacteristic
190#16840295C2211yescharacteristic
191#16840295C2211yescharacteristic
192#16840293C2211yescharacteristic
193#16840293C2211yescharacteristic
194#16840289C2211yescharacteristic
195#16840289C2211yescharacteristic
196#16840272C2211yescharacteristic
197#16840272C2211yescharacteristic
198#16840270C2211yescharacteristic
199#16840268C2211yescharacteristic
200#16840268C2211yescharacteristic
201#16840268C2211yescharacteristic
202C61×#560C411yescharacteristic
203#14519864—42no—
204#14519864—42no—
205#14519864—42no—
206#14519864—42no—
207C2×#11758213C2311yescharacteristic
208C2×#11758213C2311yescharacteristic
209C2×#11758213C2311yescharacteristic
210C2×#11758213C2311yescharacteristic
211C2×#11758213C2311yescharacteristic
212C2×#11758213C2311yescharacteristic
213D61⋊M16—42no—
214C2×#11758217—42no—
215C2×#11758217C2311yescharacteristic
216C2×#11758217C2311yescharacteristic
217C2×#11758217C2311yescharacteristic
218C2×#11758217C2311yescharacteristic
219C2×#11758217C2311yescharacteristic
220C2×#11758217C2311yescharacteristic
221C2×#11758217C2311yescharacteristic
222C2×#11758217C2311yescharacteristic
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
233C22×#92420C2311yescharacteristic
234C22×#92420C2311yescharacteristic
235C22×#92420C2311yescharacteristic
236C22×#92420C2311yescharacteristic
237C22×#92420C2311yescharacteristic
238C22×#92420C2311yescharacteristic
239C22×#92420C2311yescharacteristic
240C22×#92420C2311yescharacteristic
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
281C22⋊#92420C2311yescharacteristic
282C22⋊#92420C2311yescharacteristic
283C22⋊#92420C2311yescharacteristic
284C22⋊#92420C2311yescharacteristic
285C22⋊#92420C2311yescharacteristic
286C22⋊#92420C2311yescharacteristic
287C22⋊#92420C2311yescharacteristic
288C22⋊#92420C2311yescharacteristic
289C22⋊#92420C2311yescharacteristic
290C22⋊#92420C2311yescharacteristic
291C22⋊#92420C2311yescharacteristic
292C22⋊#92420C2311yescharacteristic
293C22⋊#92420C2311yescharacteristic
294C22⋊#92420C2311yescharacteristic
295C22⋊#92420C2311yescharacteristic
296C22⋊#92420C2311yescharacteristic
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×#11758224C2311yescharacteristic
330C2×#11758224C2311yescharacteristic
331C2×#11758224C2311yescharacteristic
332C2×#11758224C2311yescharacteristic
333C23×Dic61C2311yescharacteristic
334C22×C4×D61C2311yescharacteristic
335#14519777C2×C411yescharacteristic
336#14519776C2×C411yescharacteristic
337#14519776C2×C411yescharacteristic
338#14519773C2×C411yescharacteristic
339#14519773C2×C411yescharacteristic
340#14519772C2×C411yescharacteristic
341#14519772C2×C411yescharacteristic
342#14519771C2×C411yescharacteristic
343#14519771C2×C411yescharacteristic
344#14519770C2×C411yescharacteristic
345#14519770C2×C411yescharacteristic
346#14519770C2×C411yescharacteristic
347#14519770C2×C411yescharacteristic
348#14519770C2×C411yescharacteristic
349#14519770C2×C411yescharacteristic
350#14519768C2×C411yescharacteristic
351#14519768C2×C411yescharacteristic
352#14519767C2×C411yescharacteristic
353#14519767C2×C411yescharacteristic
354#14519767C2×C411yescharacteristic
355#14519767C2×C411yescharacteristic
356#14519764C2×C411yescharacteristic
357#14519764C2×C411yescharacteristic
358#14519764C2×C411yescharacteristic
359#14519764C2×C411yescharacteristic
360#14519763C2×C411yescharacteristic
361#14519763C2×C411yescharacteristic
362#14519763C2×C411yescharacteristic
363#14519763C2×C411yescharacteristic
364#14519763C2×C411yescharacteristic
365#14519763C2×C411yescharacteristic
366#14519763C2×C411yescharacteristic
367#14519763C2×C411yescharacteristic
368#14519762C2×C411yescharacteristic
369#14519762C2×C411yescharacteristic
370#14519761C2×C411yescharacteristic
371#14519761C2×C411yescharacteristic
372#14519761C2×C411yescharacteristic
373#14519760C2×C411yescharacteristic
374#14519760C2×C411yescharacteristic
375#14519760C2×C411yescharacteristic
376#14519759C2×C411yescharacteristic
377#14519759C2×C411yescharacteristic
378#14519759C2×C411yescharacteristic
379#14519759C2×C411yescharacteristic
380#14519759C2×C411yescharacteristic
381#14519759C2×C411yescharacteristic
382#14519758C2×C411yescharacteristic
383#14519758C2×C411yescharacteristic
384#14519758C2×C411yescharacteristic
385#14519758C2×C411yescharacteristic
386#14519758C2×C411yescharacteristic
387#14519758C2×C411yescharacteristic
388#14519758C2×C411yescharacteristic
389#14519757C2×C411yescharacteristic
390#14519757C2×C411yescharacteristic
391#14519756C2×C411yescharacteristic
392#14519756C2×C411yescharacteristic
393#14519756C2×C411yescharacteristic
394#14519756C2×C411yescharacteristic
395#14519755C2×C411yescharacteristic
396#14519755C2×C411yescharacteristic
397#14519755C2×C411yescharacteristic
398#14519755C2×C411yescharacteristic
399#14519754C2×C411yescharacteristic
400#14519754C2×C411yescharacteristic
401#14519754C2×C411yescharacteristic
402#14519754C2×C411yescharacteristic
403#14519754C2×C411yescharacteristic
404#14519754C2×C411yescharacteristic
405#14519754C2×C411yescharacteristic
406#14519754C2×C411yescharacteristic
407#14519751C2×C411yescharacteristic
408#14519751C2×C411yescharacteristic
409#14519750C2×C411yescharacteristic
410#14519750C2×C411yescharacteristic
411#14519750C2×C411yescharacteristic
412#14519750C2×C411yescharacteristic
413#14519749C2×C411yescharacteristic
414#14519749C2×C411yescharacteristic
415#14519749C2×C411yescharacteristic
416#14519749C2×C411yescharacteristic
417#14519749C2×C411yescharacteristic
418#14519749C2×C411yescharacteristic
419#14519749C2×C411yescharacteristic
420#14519749C2×C411yescharacteristic
421#14519749C2×C411yescharacteristic
422#14519749C2×C411yescharacteristic
423#14519749C2×C411yescharacteristic
424#14519749C2×C411yescharacteristic
425#14519748C2×C411yescharacteristic
426#14519748C2×C411yescharacteristic
427#14519748C2×C411yescharacteristic
428#14519748C2×C411yescharacteristic
429#14519748C2×C411yescharacteristic
430#14519748C2×C411yescharacteristic
431#14519747C2×C411yescharacteristic
432#14519746C2×C411yescharacteristic
433#14519746C2×C411yescharacteristic
434#14519746C2×C411yescharacteristic
435#14519745C2×C411yescharacteristic
436#14519745C2×C411yescharacteristic
437#14519745C2×C411yescharacteristic
438#14519745C2×C411yescharacteristic
439#14519745C2×C411yescharacteristic
440#14519742C2311yescharacteristic
441#14519742C2311yescharacteristic
442D4×Dic61C2311yescharacteristic
443D4×Dic61C2311yescharacteristic
444D4×Dic61C2311yescharacteristic
445D4×Dic61C2311yescharacteristic
446D4×Dic61C2311yescharacteristic
447D4×Dic61C2311yescharacteristic
448D4×Dic61C2311yescharacteristic
449D4×Dic61C2311yescharacteristic
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#14519733C2311yescharacteristic
463#14519733C2311yescharacteristic
464#14519733C2311yescharacteristic
465#14519733C2311yescharacteristic
466C2×C4×Dic61C2311yescharacteristic
467C2×C4×Dic61C2311yescharacteristic
468C42×D61C2311yescharacteristic
469#127×C61C2×C411yescharacteristic
470#126×C61C2×C411yescharacteristic
471#126×C61C2×C411yescharacteristic
472#123×C61C2×C411yescharacteristic
473#123×C61C2×C411yescharacteristic
474#123×C61C2×C411yescharacteristic
475#121×C61C2×C411yescharacteristic
476#121×C61C2×C411yescharacteristic
477#121×C61C2×C411yescharacteristic
478#121×C61C2×C411yescharacteristic
479#121×C61C2×C411yescharacteristic
480#121×C61C2×C411yescharacteristic
481#120×C61C2×C411yescharacteristic
482#120×C61C2×C411yescharacteristic
483#120×C61C2×C411yescharacteristic
484C24×C61C22×C411yescharacteristic
485C23×D61C22×C411yescharacteristic
486C2×D4×C61C22×C411yescharacteristic
487C2×D4×C61C22×C411yescharacteristic
488C2×D4×C61C22×C411yescharacteristic
489C2×D4×C61C22×C411yescharacteristic
490C2×D4×C61C22×C411yescharacteristic
491C2×D4×C61C22×C411yescharacteristic
492C2×D4×C61C22×C411yescharacteristic
493C2×D4×C61C22×C411yescharacteristic
494C2×D4×C61C22×C411yescharacteristic
495C2×D4×C61C22×C411yescharacteristic
496C2×D4×C61C22×C411yescharacteristic
497C2×D4×C61C22×C411yescharacteristic
498C22×C4×C61C22×C411yescharacteristic
499C22×C4×C61C22×C411yescharacteristic
500C22×C4×C61C22×C411yescharacteristic
501C2×C22⋊D61C22×C411yescharacteristic
502C2×C22⋊D61C22×C411yescharacteristic
503C2×C22⋊D61C22×C411yescharacteristic
504C2×C22⋊D61C22×C411yescharacteristic
505C2×C22⋊D61C22×C411yescharacteristic
506C2×C22⋊D61C22×C411yescharacteristic
507C2×C22⋊D61C22×C411yescharacteristic
508C2×C22⋊D61C22×C411yescharacteristic
509C2×C22⋊D61C22×C411yescharacteristic
510C2×C22⋊D61C22×C411yescharacteristic
511C2×C22⋊D61C22×C411yescharacteristic
512C2×C22⋊D61C22×C411yescharacteristic
513C2×C22⋊D61C22×C411yescharacteristic
514C2×C22⋊D61C22×C411yescharacteristic
515C2×C22⋊D61C22×C411yescharacteristic
516C2×C22⋊D61C22×C411yescharacteristic
517C22×Dic61—41no—
518C22×Dic61—41no—
519C22×Dic61C22×C411yescharacteristic
520C22×Dic61C22×C411yescharacteristic
521C22×Dic61C22×C411yescharacteristic
522C22×Dic61C22×C411yescharacteristic
523C22×Dic61C22×C411yescharacteristic
524C22×Dic61C2411yescharacteristic
525C22×Dic61C2411yescharacteristic
526C22×Dic61C2411yescharacteristic
527C22×Dic61C2411yescharacteristic
528C22×Dic61C2411yescharacteristic
529C22×Dic61C2411yescharacteristic
530#11758224—41no—
531#11758224—41no—
532#11758224—41no—
533#11758224—41no—
534#11758224—41no—
535#11758224—41no—
536#11758224—41no—
537#11758224—41no—
538C2×D244C22×C411yescharacteristic
539C2×D244C22×C411yescharacteristic
540C2×C4×D61—41no—
541C2×C4×D61—41no—
542C2×C4×D61C22×C411yescharacteristic
543C2×C4×D61C22×C411yescharacteristic
544C2×C4×D61C22×C411yescharacteristic
545C2×C4×D61C22×C411yescharacteristic
546C2×C4×D61C2411yescharacteristic
547C2×C4×D61C2411yescharacteristic
548C2×C4×D61C2411yescharacteristic
549C2×Dic122C22×C411yescharacteristic
550C2×Dic122C22×C411yescharacteristic
551C2×Dic122C22×C411yescharacteristic
552C2×Dic122C22×C411yescharacteristic
553C2×Dic122C22×C411yescharacteristic
554C2×Dic122C22×C411yescharacteristic
555#11758217—22no—
556#11758217—22no—
557#11758217—22no—
558#11758217—22no—
559#11758217—41no—
560#11758217—41no—
561#11758217—41no—
562#11758217—41no—
563#11758217—41no—
564#11758217—41no—
565#11758217—41no—
566#11758217—41no—
567C2×#92420—22no—
568C2×#92420—22no—
569C2×#92420—41no—
570C2×#92420—41no—
571C2×#92420—41no—
572C2×#92420—41no—
573C2×#92420—41no—
574C2×#92420—41no—
575C2×#92420—41no—
576C2×#92420—41no—
577C2×#92420—41no—
578C2×#92420—41no—
579C2×#92420C2411yescharacteristic
580C2×#92420C2411yescharacteristic
581C2×#92420C2411yescharacteristic
582C2×#92420C2411yescharacteristic
583C2×#92420C2411yescharacteristic
584C2×#92420C2411yescharacteristic
585C2×#92420C2411yescharacteristic
586C2×#92420C2411yescharacteristic
587C2×#92420C2411yescharacteristic
588C2×#92420C2411yescharacteristic
589C2×#92420C2411yescharacteristic
590C2×#92420C2411yescharacteristic
591C2×#92420C2411yescharacteristic
592C2×#92420C2411yescharacteristic
593C2×#92420C2411yescharacteristic
594C2×#92420C2411yescharacteristic
595#11758213—22no—
596#11758213—22no—
597#11758213—41no—
598#11758213—41no—
599#11758213—41no—
600#11758213—41no—
601D61⋊C8—22no—
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
613C22⋊C4×C61C22×C411yescharacteristic
614C22⋊C4×C61C22×C411yescharacteristic
615C22⋊C4×C61C22×C411yescharacteristic
616C22⋊C4×C61C22×C411yescharacteristic
617C22⋊C4×C61C22×C411yescharacteristic
618C22⋊C4×C61C22×C411yescharacteristic
619C22⋊C4×C61C22×C411yescharacteristic
620C22⋊C4×C61C22×C411yescharacteristic
621C22⋊C4×C61C22×C411yescharacteristic
622C22⋊C4×C61C22×C411yescharacteristic
623C22⋊C4×C61C22×C411yescharacteristic
624C22⋊C4×C61C22×C411yescharacteristic
625C42×C61C22×C411yescharacteristic
626C22⋊Dic61C22×C411yescharacteristic
627C22⋊Dic61C22×C411yescharacteristic
628C22⋊Dic61C22×C411yescharacteristic
629C22⋊Dic61C22×C411yescharacteristic
630C22⋊Dic61C22×C411yescharacteristic
631C22⋊Dic61C22×C411yescharacteristic
632C22⋊Dic61C22×C411yescharacteristic
633C22⋊Dic61C22×C411yescharacteristic
634C22⋊Dic61C22×C411yescharacteristic
635C22⋊Dic61C22×C411yescharacteristic
636C22⋊Dic61C22×C411yescharacteristic
637C22⋊Dic61C22×C411yescharacteristic
638C22⋊Dic61C22×C411yescharacteristic
639C22⋊Dic61C22×C411yescharacteristic
640C22⋊Dic61C22×C411yescharacteristic
641C22⋊Dic61C22×C411yescharacteristic
642C22⋊Dic61C22×C411yescharacteristic
643C22⋊Dic61C22×C411yescharacteristic
644C22⋊Dic61C22×C411yescharacteristic
645C22⋊Dic61C22×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
662C4⋊Dic61C22×C411yescharacteristic
663C4⋊Dic61C22×C411yescharacteristic
664C4⋊Dic61C22×C411yescharacteristic
665C4⋊Dic61C22×C411yescharacteristic
666C4⋊Dic61C22×C411yescharacteristic
667C4⋊Dic61C22×C411yescharacteristic
668C4⋊Dic61C22×C411yescharacteristic
669C4⋊Dic61C22×C411yescharacteristic
670C4⋊Dic61C22×C411yescharacteristic
671C4⋊Dic61C22×C411yescharacteristic
672#11758196C22×C411yescharacteristic
673#11758196C22×C411yescharacteristic
674#11758196C22×C411yescharacteristic
675#11758196C22×C411yescharacteristic
676#11758196C22×C411yescharacteristic
677#11758196C22×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
692C4×Dic61C22×C411yescharacteristic
693C4×Dic61C22×C411yescharacteristic
694C4×Dic61C22×C411yescharacteristic
695C4×Dic61C22×C411yescharacteristic
696C4×Dic61C22×C411yescharacteristic
697C4×Dic61C2411yescharacteristic
698C4×Dic61C2411yescharacteristic
699C4×Dic61C2411yescharacteristic
700C4×Dic61C2411yescharacteristic
701C4×Dic61C2411yescharacteristic
702C4×Dic61C2411yescharacteristic
703C23×C61—41no—
704C23×C61—41no—
705C23×C61—41no—
706C23×C61C23×C411yescharacteristic
707C23×C61C23×C411yescharacteristic
708C23×C61C23×C411yescharacteristic
709C23×C61C23×C411yescharacteristic
710C23×C61C23×C411yescharacteristic
711C23×C61C23×C411yescharacteristic
712C22×D61—41no—
713C22×D61—41no—
714C22×D61—41no—
715C22×D61C23×C411yescharacteristic
716C22×D61C23×C411yescharacteristic
717C22×D61C23×C411yescharacteristic
718D4×C61—41no—
719D4×C61—41no—
720D4×C61—41no—
721D4×C61—41no—
722D4×C61—41no—
723D4×C61—41no—
724D4×C61—41no—
725D4×C61—41no—
726D4×C61—41no—
727D4×C61—41no—
728D4×C61—41no—
729D4×C61—41no—
730C2×C4×C61—41no—
731C2×C4×C61—41no—
732C2×C4×C61—41no—
733C2×C4×C61C23×C411yescharacteristic
734C2×C4×C61C23×C411yescharacteristic
735C2×C4×C61C23×C411yescharacteristic
736C2×C4×C61C23×C411yescharacteristic
737C2×C4×C61C23×C411yescharacteristic
738C2×C4×C61C23×C411yescharacteristic
739C2×C4×C61C23×C411yescharacteristic
740C2×C4×C61C23×C411yescharacteristic
741C2×C4×C61C23×C411yescharacteristic
742C22⋊D61—41no—
743C22⋊D61—41no—
744C22⋊D61—41no—
745C22⋊D61—41no—
746C22⋊D61—41no—
747C22⋊D61—41no—
748C22⋊D61—41no—
749C22⋊D61—41no—
750C22⋊D61—41no—
751C22⋊D61—41no—
752C22⋊D61—41no—
753C22⋊D61—41no—
754C22⋊D61—41no—
755C22⋊D61—41no—
756C22⋊D61—41no—
757C22⋊D61—41no—
758C2×Dic61—21no—
759C2×Dic61—21no—
760C2×Dic61—21no—
761C2×Dic61—21no—
762C2×Dic61—21no—
763C2×Dic61—21no—
764C2×Dic61—21no—
765C2×Dic61—21no—
766C2×Dic61—21no—
767C2×Dic61—21no—
768C2×Dic61—21no—
769C2×Dic61—21no—
770C2×Dic61—41no—
771C2×Dic61—41no—
772C2×Dic61—41no—
773C2×Dic61—41no—
774C2×Dic61—41no—
775C2×Dic61C23×C411yescharacteristic
776C2×Dic61C23×C411yescharacteristic
777C2×Dic61C23×C411yescharacteristic
778C2×Dic61C23×C411yescharacteristic
779C2×Dic61C23×C411yescharacteristic
780C2×Dic61C23×C411yescharacteristic
781C2×Dic61C23×C411yescharacteristic
782C2×Dic61C23×C411yescharacteristic
783C2×Dic61C23×C411yescharacteristic
784C2×Dic61C23×C411yescharacteristic
785C2×Dic61C23×C411yescharacteristic
786C2×Dic61C23×C411yescharacteristic
787C2×Dic61C2511yescharacteristic
788D244—41no—
789D244—41no—
790C4×D61—21no—
791C4×D61—21no—
792C4×D61—21no—
793C4×D61—21no—
794C4×D61—21no—
795C4×D61—21no—
796C4×D61—41no—
797C4×D61—41no—
798C4×D61—41no—
799C4×D61—41no—
800Dic122—41no—
801Dic122—41no—
802Dic122—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×C61—21no—
830C22×C61—21no—
831C22×C61—21no—
832C22×C61—21no—
833C22×C61—21no—
834C22×C61—21no—
835C22×C61—21no—
836C22×C61—21no—
837C22×C61—21no—
838C22×C61—21no—
839C22×C61—21no—
840C22×C61—21no—
841C22×C61—82no—
842C22×C61C24×C411yescharacteristic
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—21no—
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—
862Dic61—21no—
863Dic61—21no—
864Dic61—21no—
865Dic61—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×C61—41no—
910C2×C61—41no—
911C2×C61—41no—
912C2×C61—41no—
913C2×C61C4×H(5,𝔽2)11yescharacteristic
914C2×C61#357311yescharacteristic
915C2×C61#357311yescharacteristic
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—611no—
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#692311yescharacteristic
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⋊Q8—611no—
1141C4⋊Q8—611no—
1142#127—611no—
1143#127—611no—
1144#127C2×#692311yescharacteristic
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#126—611no—
1154#126—611no—
1155#126C2×#692311yescharacteristic
1156#126C2×#692311yescharacteristic
1157#125—611no—
1158#125—611no—
1159#125—611no—
1160#125—611no—
1161#125—611no—
1162#125—611no—
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#124—611no—
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#123C2×#692311yescharacteristic
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⋊Q8—611no—
1214C22⋊Q8—611no—
1215C22⋊Q8—611no—
1216C22⋊Q8—611no—
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#121C2×#692311yescharacteristic
1242#121C2×#692311yescharacteristic
1243#121C2×#692311yescharacteristic
1244#121C2×#692311yescharacteristic
1245#121C2×#692311yescharacteristic
1246#121C2×#692311yescharacteristic
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#120C2×#692311yescharacteristic
1257#120C2×#692311yescharacteristic
1258#120C2×#692311yescharacteristic
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—
1373C24C22×#692311yescharacteristic
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×Q8—611no—
1386C2×Q8—611no—
1387C2×Q8—611no—
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×D4C22×#692311yescharacteristic
1407C2×D4C22×#692311yescharacteristic
1408C2×D4C22×#692311yescharacteristic
1409C2×D4C22×#692311yescharacteristic
1410C2×D4C22×#692311yescharacteristic
1411C2×D4C22×#692311yescharacteristic
1412C2×D4C22×#692311yescharacteristic
1413C2×D4C22×#692311yescharacteristic
1414C2×D4C22×#692311yescharacteristic
1415C2×D4C22×#692311yescharacteristic
1416C2×D4C22×#692311yescharacteristic
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—2441no—
1437C22×C4—2441no—
1438C22×C4—2441no—
1439C22×C4—2441no—
1440C22×C4C22×#692311yescharacteristic
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⋊C4—611no—
1516C4⋊C4—611no—
1517C4⋊C4—611no—
1518C4⋊C4—611no—
1519C4⋊C4—611no—
1520C4⋊C4—611no—
1521C4⋊C4—611no—
1522C4⋊C4—611no—
1523C4⋊C4—611no—
1524C4⋊C4—611no—
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⋊C4C22×#692311yescharacteristic
1568C22⋊C4C22×#692311yescharacteristic
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—
1588C42—611no—
1589C42—611no—
1590C42C22×#692311yescharacteristic
1591C23—41no—
1592C23—41no—
1593C23—41no—
1594C23—611no—
1595C23—611no—
1596C23—611no—
1597C23—2441no—
1598C23—2441no—
1599C23—2441no—
1600C23C23×#692311yescharacteristic
1601C23C23×#692311yescharacteristic
1602C23C23×#692311yescharacteristic
1603C23C23×#692311yescharacteristic
1604C23C23×#692311yescharacteristic
1605C23C23×#692311yescharacteristic
1606Q8—2441no—
1607Q8—2441no—
1608Q8—2441no—
1609Q8—2441no—
1610Q8—2441no—
1611Q8—2441no—
1612D4—41no—
1613D4—41no—
1614D4—41no—
1615D4—41no—
1616D4—41no—
1617D4—41no—
1618D4—41no—
1619D4—41no—
1620D4—41no—
1621D4—41no—
1622D4—41no—
1623D4—41no—
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—41no—
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—611no—
1654C2×C4—611no—
1655C2×C4—611no—
1656C2×C4—611no—
1657C2×C4—611no—
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—1221no—
1672C2×C4—1221no—
1673C2×C4—1221no—
1674C2×C4—1221no—
1675C2×C4—1221no—
1676C2×C4—2441no—
1677C2×C4—2441no—
1678C2×C4—2441no—
1679C2×C4—2441no—
1680C2×C4—2441no—
1681C2×C4—2441no—
1682C2×C4—2441no—
1683C2×C4—2441no—
1684C2×C4—2441no—
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—21no—
1717C22—21no—
1718C22—21no—
1719C22—21no—
1720C22—21no—
1721C22—21no—
1722C22—21no—
1723C22—21no—
1724C22—21no—
1725C22—21no—
1726C22—21no—
1727C22—21no—
1728C22—82no—
1729C22—1221no—
1730C22—1221no—
1731C22—1221no—
1732C22—1221no—
1733C22—1221no—
1734C22—1221no—
1735C22—1221no—
1736C22—1221no—
1737C22—1221no—
1738C22—4882no—
1739C22C24×#692311yescharacteristic
1740C4—21no—
1741C4—21no—
1742C4—21no—
1743C4—21no—
1744C4—21no—
1745C4—21no—
1746C4—21no—
1747C4—21no—
1748C4—21no—
1749C4—611no—
1750C4—611no—
1751C4—1221no—
1752C4—1221no—
1753C4—1221no—
1754C4—1221no—
1755C4—1221no—
1756C4—1221no—
1757C4—1221no—
1758C4—1221no—
1759C4—1221no—
1760C4—1221no—
1761C4—1221no—
1762C4—1221no—
1763C2—41no—
1764C2—41no—
1765C2—41no—
1766C2—41no—
1767C2—41no—
1768C2—41no—
1769C2—2441no—
1770C2—2441no—
1771C2—2441no—
1772C2H(5,𝔽2)×#692311yescharacteristic
1773C2#2146281411yescharacteristic
1774C2#2146281411yescharacteristic
subgroupG/H
center, FrattiniC22C24×#6923
commutator, socleC22×C61C24×C4
FittingC61×#560C4
prime radical#21459954C2
cosocleC2×Dic61C25
hypercenter#560#6923
hypocenterC61#60327
LCSG ▷ C22×C61 ▷ C61
UCSC1 ◁ C22 ◁ #560

Complements

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

NH ≅ G/Ntype
1. #21462773C2semidirect
2. #21462772C2semidirect
3. #21462768C2semidirect
4. #21462767C2semidirect
5. #21462757C2semidirect
6. #21462755C2semidirect
7. #21462709C2semidirect
8. #21462708C2semidirect
9. #21462703C2semidirect
10. #21462692C2semidirect
11. #21462691C2semidirect
12. #21462687C2semidirect
13. #21462686C2semidirect
14. #21462685C2semidirect
15. #21462685C2semidirect
16. #21462654C2semidirect
17. #21462650C2semidirect
18. #21462642C2semidirect
19. #21462641C2semidirect
20. #21462634C2semidirect
21. #21462632C2semidirect
22. #21462563C2semidirect
23. #21462562C2semidirect
24. #21462553C2semidirect
25. #21462551C2semidirect
26. #21462551C2semidirect
27. #21462550C2semidirect
28. #21462542C2semidirect
29. #21462538C2semidirect
30. #21462537C2semidirect
35. C2×#14519864C22semidirect
36. C2×D61⋊M16C22semidirect
37. C22×#11758217C22semidirect
38. #16840814C22semidirect
39. #16840814C22semidirect
40. #16840814C22semidirect
41. #16840814C22semidirect
42. #16840812C22semidirect
43. #16840812C22semidirect
44. #16840811C22semidirect
45. #16840811C22semidirect
48. #16840797C22semidirect
49. #16840797C22semidirect
50. #16840797C22semidirect
51. #16840797C22semidirect
52. #16840797C22semidirect
53. #16840797C22semidirect
54. #16840796C22semidirect
55. #16840796C22semidirect
60. #16840795C22semidirect
61. #16840795C22semidirect
62. #16840795C22semidirect
63. #16840795C22semidirect
68. #16840794C22semidirect
69. #16840794C22semidirect
70. #16840794C22semidirect
71. #16840794C22semidirect
76. #16840793C22semidirect
77. #16840793C22semidirect
78. #16840793C22semidirect
79. #16840793C22semidirect
80. #16840793C22semidirect
81. #16840793C22semidirect
82. #16840793C22semidirect
83. #16840793C22semidirect
84. #16840793C22semidirect
85. #16840793C22semidirect
86. #16840793C22semidirect
87. #16840793C22semidirect
88. #16840792C22semidirect
89. #16840792C22semidirect
90. #16840792C22semidirect
91. #16840792C22semidirect
96. #16840791C22semidirect
97. #16840791C22semidirect
98. #16840791C22semidirect
99. #16840791C22semidirect
100. #16840790C22semidirect
101. #16840790C22semidirect
106. #16840789C22semidirect
107. #16840789C22semidirect
108. #16840789C22semidirect
109. #16840789C22semidirect
112. D4×#92420C22semidirect
113. D4×#92420C22semidirect
114. D4×#92420C22semidirect
115. D4×#92420C22semidirect
116. D4×#92420C22semidirect
117. D4×#92420C22semidirect
118. #16840787C22semidirect
119. #16840787C22semidirect
120. #16840787C22semidirect
121. #16840787C22semidirect
122. #16840786C22semidirect
123. #16840786C22semidirect
124. #16840786C22semidirect
125. #16840786C22semidirect
126. #16840786C22semidirect
127. #16840786C22semidirect
128. #16840786C22semidirect
129. #16840786C22semidirect
130. #16840784C22semidirect
131. #16840783C22semidirect
132. #16840783C22semidirect
133. #16840782C22semidirect
134. #16840780C22semidirect
135. #16840778C22semidirect
136. #16840769C22semidirect
137. #16840769C22semidirect
138. #16840768C22semidirect
139. #16840768C22semidirect
140. #16840768C22semidirect
141. #16840768C22semidirect
142. #16840765C22semidirect
143. C2×#14519844C22semidirect
144. D61⋊(C4⋊C8)C22semidirect
148. #16840736C22semidirect
155. #16840735C22semidirect
156. #16840735C22semidirect
157. #16840733C22semidirect
158. #16840732C22semidirect
159. C2×#14519834C22semidirect
160. D61⋊(C22⋊C8)C22semidirect
161. C2×C22⋊#92420C22semidirect
162. C2×C22⋊#92420C22semidirect
163. #16840727C22semidirect
164. #16840727C22semidirect
165. #16840726C22semidirect
166. #16840726C22semidirect
167. #16840726C22semidirect
168. #16840726C22semidirect
169. C4×#11758213C22semidirect
170. C4×#11758217C22semidirect
171. C2×C4×#92420C22semidirect
1090. C61#60327semidirect

Maximal subgroups

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

subgroupindex
#214627732
#214627722
#214627682
#214627672
#214627572
#214627552
#214627092
#214627082
#214627032
#214626922
#214626912
#214626872
#214626862
#214626852
#214626542
#214626502
#214626422
#214626412
#214626342
#214626322
#214625632
#214625622
#214625532
#214625512
#214625502
#214625422
#214625382
#214625372
#214599542
#6032761