Finite Group Databasebeta

← #30626528

Subgroups — #30626528

Order 15616.

1894 conjugacy classes of subgroups.

The subgroup lattice has 1808 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21462774C211yesmaximal, characteristic, complemented
2#21462773C211yesmaximal, characteristic, complemented
3#21462767C211yesmaximal, characteristic, complemented
4#21462763C211yesmaximal, characteristic, complemented
5#21462748C211yesmaximal, characteristic, complemented
6#21462741C211yesmaximal, characteristic, complemented
7#21462710C211yesmaximal, characteristic, complemented
8#21462698C211yesmaximal, characteristic, complemented
9#21462697C211yesmaximal, characteristic, complemented
10#21462689C211yesmaximal, characteristic, complemented
11#21462685C211yesmaximal, characteristic, complemented
12#21462682C211yesmaximal, characteristic, complemented
13#21462678C211yesmaximal, characteristic, complemented
14#21462672C211yesmaximal, characteristic, complemented
15#21462671C211yesmaximal, characteristic, complemented
16#21462662C211yesmaximal, characteristic, complemented
17#21462654C211yesmaximal, characteristic, complemented
18#21462642C211yesmaximal, characteristic, complemented
19#21462641C211yesmaximal, characteristic, complemented
20#21462634C211yesmaximal, characteristic, complemented
21#21462626C211yesmaximal, characteristic, complemented
22#21462564C211yesmaximal, characteristic, complemented
23#21462558C211yesmaximal, characteristic, complemented
24#21462557C211yesmaximal, characteristic, complemented
25D4×#11758213C211yesmaximal, characteristic, complemented
26#21462552C211yesmaximal, characteristic, complemented
27#21462551C211yesmaximal, characteristic, complemented
28#21462540C211yesmaximal, characteristic, complemented
29#21462539C211yesmaximal, characteristic, complemented
30C2×#16840795C211yesmaximal, characteristic, complemented
31#21459422C211yesmaximal, characteristic
32C2×#14519865C2211yescharacteristic, complemented
33C2×#14519864C2211yescharacteristic, complemented
34C22×#11758213C2211yescharacteristic, complemented
35C22×#11758213C2211yescharacteristic, 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, complemented
47#16840797C2211yescharacteristic, complemented
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#16840795C2211yescharacteristic, complemented
65#16840795C2211yescharacteristic, complemented
66#16840795C2211yescharacteristic, complemented
67#16840795C2211yescharacteristic, complemented
68#16840795C2211yescharacteristic, complemented
69#16840795C2211yescharacteristic, complemented
70#16840795C2211yescharacteristic, complemented
71#16840795C2211yescharacteristic, complemented
72#16840794C2211yescharacteristic, complemented
73#16840794C2211yescharacteristic, complemented
74#16840794C2211yescharacteristic, complemented
75#16840794C2211yescharacteristic, complemented
76#16840794C2211yescharacteristic, complemented
77#16840794C2211yescharacteristic, complemented
78#16840794C2211yescharacteristic, complemented
79#16840794C2211yescharacteristic, complemented
80#16840793C2211yescharacteristic, complemented
81#16840793C2211yescharacteristic, complemented
82#16840793C2211yescharacteristic, complemented
83#16840793C2211yescharacteristic, 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#16840791C2211yescharacteristic, complemented
101#16840791C2211yescharacteristic, complemented
102#16840791C2211yescharacteristic, complemented
103#16840791C2211yescharacteristic, complemented
104#16840791C2211yescharacteristic, complemented
105#16840791C2211yescharacteristic, complemented
106#16840791C2211yescharacteristic, complemented
107#16840791C2211yescharacteristic, complemented
108#16840789C2211yescharacteristic, complemented
109#16840789C2211yescharacteristic, complemented
110#16840789C2211yescharacteristic, complemented
111#16840789C2211yescharacteristic, complemented
112#16840789C2211yescharacteristic, complemented
113#16840789C2211yescharacteristic, complemented
114#16840789C2211yescharacteristic, complemented
115#16840789C2211yescharacteristic, 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#16840785C2211yescharacteristic, complemented
127#16840785C2211yescharacteristic, complemented
128#16840784C2211yescharacteristic, complemented
129#16840783C2211yescharacteristic, complemented
130#16840783C2211yescharacteristic, complemented
131#16840782C2211yescharacteristic, complemented
132#16840781C2211yescharacteristic, complemented
133#16840781C2211yescharacteristic, complemented
134#16840780C2211yescharacteristic, complemented
135#16840778C2211yescharacteristic, complemented
136#16840769C2211yescharacteristic, complemented
137#16840769C2211yescharacteristic, complemented
138#16840768C2211yescharacteristic, complemented
139#16840768C2211yescharacteristic, complemented
140#16840767C2211yescharacteristic, complemented
141#16840766C2211yescharacteristic, complemented
142#16840765C2211yescharacteristic, complemented
143C2×#14519844C2211yescharacteristic, complemented
144D61⋊(C4⋊C8)C2211yescharacteristic, complemented
145#16840737C2211yescharacteristic, complemented
146#16840737C2211yescharacteristic, complemented
147#16840737C2211yescharacteristic, complemented
148#16840736C2211yescharacteristic, complemented
149#16840735C2211yescharacteristic, complemented
150#16840735C2211yescharacteristic, complemented
151#16840734C2211yescharacteristic, complemented
152#16840734C2211yescharacteristic, complemented
153#16840733C2211yescharacteristic, complemented
154#16840733C2211yescharacteristic, complemented
155#16840733C2211yescharacteristic, complemented
156#16840733C2211yescharacteristic, 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
167C4×#11758213C2211yescharacteristic, complemented
168C4×#11758213C2211yescharacteristic, complemented
169C4×#11758213C2211yescharacteristic, complemented
170C4×#11758217C2211yescharacteristic, complemented
171C2×C4×#92420C2211yescharacteristic, complemented
172#16840496C411yescharacteristic
173#16840466C411yescharacteristic
174#16840466C411yescharacteristic
175#16840463C411yescharacteristic
176#16840463C411yescharacteristic
177#16840461C411yescharacteristic
178#16840461C411yescharacteristic
179#16840442C411yescharacteristic
180#16840436C411yescharacteristic
181#16840436C411yescharacteristic
182#16840404C411yescharacteristic
183#16840404C411yescharacteristic
184#16840402C411yescharacteristic
185#16840402C411yescharacteristic
186#16840394C411yescharacteristic
187#16840311C2211yescharacteristic
188#16840295C2211yescharacteristic
189#16840295C2211yescharacteristic
190#16840289C2211yescharacteristic
191#16840289C2211yescharacteristic
192#16840275C2211yescharacteristic
193#16840275C2211yescharacteristic
194#16840270C2211yescharacteristic
195#16840268C2211yescharacteristic
196#16840230C2211yescharacteristic
197#16840230C2211yescharacteristic
198C2×#14519737C2211yescharacteristic
199C2×#14519737C2211yescharacteristic
200C4×D4×D61C2211yescharacteristic
201C4×D4×D61C2211yescharacteristic
202C61×#551C411yescharacteristic
203#14519865—42no—
204#14519864—42no—
205C2×#11758213—42no—
206C2×#11758213—42no—
207C2×#11758213C2311yescharacteristic
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
221D61⋊M16—42no—
222C2×#11758217—42no—
223C2×#11758217C2311yescharacteristic
224C2×#11758217C2311yescharacteristic
225C2×#11758217C2311yescharacteristic
226C2×#11758217C2311yescharacteristic
227C2×#11758217C2311yescharacteristic
228C2×#11758217C2311yescharacteristic
229C2×#11758217C2311yescharacteristic
230C2×#11758217C2311yescharacteristic
231C2×D61⋊C8C2311yescharacteristic
232C2×D61⋊C8C2311yescharacteristic
233C2×D61⋊C8C2311yescharacteristic
234C2×D61⋊C8C2311yescharacteristic
235C2×D61⋊C8C2311yescharacteristic
236C2×D61⋊C8C2311yescharacteristic
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
281#14519834C2311yescharacteristic
282#14519834C2311yescharacteristic
283#14519834C2311yescharacteristic
284#14519834C2311yescharacteristic
285#14519834C2311yescharacteristic
286#14519834C2311yescharacteristic
287#14519834C2311yescharacteristic
288#14519834C2311yescharacteristic
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×#11758226C2311yescharacteristic
330C2×#11758222C2×C411yescharacteristic
331C2×#11758222C2×C411yescharacteristic
332C2×#11758224C2311yescharacteristic
333C22×C22⋊D61C2×C411yescharacteristic
334C22×C22⋊D61C2×C411yescharacteristic
335C2×D4×D61C2×C411yescharacteristic
336C2×D4×D61C2×C411yescharacteristic
337C23×Dic61C2311yescharacteristic
338C22×C4×D61C2311yescharacteristic
339C22×C4×D61C2311yescharacteristic
340C22×C4×D61C2311yescharacteristic
341#14519775C2×C411yescharacteristic
342#14519773C2×C411yescharacteristic
343#14519772C2×C411yescharacteristic
344#14519772C2×C411yescharacteristic
345#14519771C2×C411yescharacteristic
346#14519771C2×C411yescharacteristic
347#14519770C2×C411yescharacteristic
348#14519770C2×C411yescharacteristic
349#14519767C2×C411yescharacteristic
350#14519767C2×C411yescharacteristic
351#14519767C2×C411yescharacteristic
352#14519767C2×C411yescharacteristic
353#14519765C2×C411yescharacteristic
354#14519763C2×C411yescharacteristic
355#14519763C2×C411yescharacteristic
356#14519763C2×C411yescharacteristic
357#14519763C2×C411yescharacteristic
358#14519762C2×C411yescharacteristic
359#14519762C2×C411yescharacteristic
360#14519762C2×C411yescharacteristic
361#14519762C2×C411yescharacteristic
362#14519762C2×C411yescharacteristic
363#14519762C2×C411yescharacteristic
364#14519761C2×C411yescharacteristic
365#14519760C2×C411yescharacteristic
366#14519760C2×C411yescharacteristic
367#14519760C2×C411yescharacteristic
368#14519759C2×C411yescharacteristic
369#14519759C2×C411yescharacteristic
370#14519758C2×C411yescharacteristic
371#14519755C2×C411yescharacteristic
372#14519755C2×C411yescharacteristic
373#14519755C2×C411yescharacteristic
374#14519755C2×C411yescharacteristic
375#14519754C2×C411yescharacteristic
376#14519754C2×C411yescharacteristic
377#14519754C2×C411yescharacteristic
378#14519754C2×C411yescharacteristic
379#14519753C2×C411yescharacteristic
380#14519753C2×C411yescharacteristic
381#14519752C2×C411yescharacteristic
382#14519752C2×C411yescharacteristic
383#14519751C2×C411yescharacteristic
384#14519751C2×C411yescharacteristic
385#14519750C2×C411yescharacteristic
386#14519750C2×C411yescharacteristic
387#14519750C2×C411yescharacteristic
388#14519750C2×C411yescharacteristic
389#14519750C2×C411yescharacteristic
390#14519750C2×C411yescharacteristic
391#14519750C2×C411yescharacteristic
392#14519750C2×C411yescharacteristic
393#14519749C2×C411yescharacteristic
394#14519749C2×C411yescharacteristic
395#14519749C2×C411yescharacteristic
396#14519749C2×C411yescharacteristic
397#14519747C2×C411yescharacteristic
398#14519747C2×C411yescharacteristic
399#14519747C2×C411yescharacteristic
400#14519747C2×C411yescharacteristic
401#14519747C2×C411yescharacteristic
402#14519746C2×C411yescharacteristic
403#14519745C2×C411yescharacteristic
404#14519742C2×C411yescharacteristic
405#14519742C2×C411yescharacteristic
406#14519742C2311yescharacteristic
407#14519742C2311yescharacteristic
408C4×D244C2×C411yescharacteristic
409C4×D244C2×C411yescharacteristic
410D4×Dic61C2311yescharacteristic
411D4×Dic61C2311yescharacteristic
412#14519739C2×C411yescharacteristic
413#14519739C2×C411yescharacteristic
414#14519739C2311yescharacteristic
415#14519739C2311yescharacteristic
416#14519739C2311yescharacteristic
417#14519739C2311yescharacteristic
418C4×C22⋊D61C2×C411yescharacteristic
419C4×C22⋊D61C2×C411yescharacteristic
420C4×C22⋊D61C2×C411yescharacteristic
421C4×C22⋊D61C2×C411yescharacteristic
422#14519737C2×C411yescharacteristic
423#14519737C2×C411yescharacteristic
424#14519737C2×C411yescharacteristic
425#14519737C2×C411yescharacteristic
426#14519737C2×C411yescharacteristic
427#14519737C2×C411yescharacteristic
428#14519737C2×C411yescharacteristic
429#14519737C2×C411yescharacteristic
430#14519737C2×C411yescharacteristic
431#14519737C2×C411yescharacteristic
432#14519737C2×C411yescharacteristic
433#14519737C2×C411yescharacteristic
434#14519737C2311yescharacteristic
435#14519737C2311yescharacteristic
436#14519737C2311yescharacteristic
437#14519737C2311yescharacteristic
438#14519737C2311yescharacteristic
439#14519737C2311yescharacteristic
440#14519737C2311yescharacteristic
441#14519737C2311yescharacteristic
442#14519737C2311yescharacteristic
443#14519737C2311yescharacteristic
444#14519737C2311yescharacteristic
445#14519737C2311yescharacteristic
446#14519735C2311yescharacteristic
447#14519735C2311yescharacteristic
448#14519734C2×C411yescharacteristic
449#14519734C2×C411yescharacteristic
450#14519734C2×C411yescharacteristic
451#14519734C2×C411yescharacteristic
452#14519733C2311yescharacteristic
453#14519733C2311yescharacteristic
454C2×#11758196C2×C411yescharacteristic
455C2×#11758196C2×C411yescharacteristic
456C4⋊C4×D61C2×C411yescharacteristic
457C4⋊C4×D61C2×C411yescharacteristic
458C2×#11758198C2×C411yescharacteristic
459C2×#11758198C2×C411yescharacteristic
460C22⋊C4×D61C2×C411yescharacteristic
461C22⋊C4×D61C2×C411yescharacteristic
462C22⋊C4×D61C2×C411yescharacteristic
463C22⋊C4×D61C2×C411yescharacteristic
464C2×C4×Dic61C2311yescharacteristic
465C2×C4×Dic61C2311yescharacteristic
466C42×D61C2311yescharacteristic
467C42×D61C2311yescharacteristic
468C42×D61C2311yescharacteristic
469#126×C61C2×C411yescharacteristic
470#126×C61C2×C411yescharacteristic
471#124×C61C2×C411yescharacteristic
472#123×C61C2×C411yescharacteristic
473#123×C61C2×C411yescharacteristic
474#123×C61C2×C411yescharacteristic
475C22⋊Q8×C61C2×C411yescharacteristic
476C22⋊Q8×C61C2×C411yescharacteristic
477#120×C61C2×C411yescharacteristic
478C4×D4×C61C2×C411yescharacteristic
479C4×D4×C61C2×C411yescharacteristic
480#117×C61C2×C411yescharacteristic
481#117×C61C2×C411yescharacteristic
482C2×C22⋊C4×C61C2×C411yescharacteristic
483C2×C22⋊C4×C61C2×C411yescharacteristic
484C24×C61C22×C411yescharacteristic
485C23×D61C22×C411yescharacteristic
486C23×D61C22×C411yescharacteristic
487C23×D61C22×C411yescharacteristic
488C2×Q8×C61C22×C411yescharacteristic
489C2×D4×C61C22×C411yescharacteristic
490C2×D4×C61C22×C411yescharacteristic
491C2×D4×C61C22×C411yescharacteristic
492C22×C4×C61C22×C411yescharacteristic
493C22×C4×C61C22×C411yescharacteristic
494C22×C4×C61C22×C411yescharacteristic
495C22×C4×C61C22×C411yescharacteristic
496C22×C4×C61C22×C411yescharacteristic
497C2×C22⋊D61—42no—
498C2×C22⋊D61—42no—
499C2×C22⋊D61C22×C411yescharacteristic
500C2×C22⋊D61C22×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
513C22×Dic61—41no—
514C22×Dic61—41no—
515C22×Dic61C22×C411yescharacteristic
516C22×Dic61C22×C411yescharacteristic
517C22×Dic61C22×C411yescharacteristic
518C22×Dic61C22×C411yescharacteristic
519C22×Dic61C22×C411yescharacteristic
520C22×Dic61C2411yescharacteristic
521C22×Dic61C2411yescharacteristic
522C22×Dic61C2411yescharacteristic
523C22×Dic61C2411yescharacteristic
524#11758226—41no—
525#11758226—41no—
526#11758224—41no—
527#11758224—41no—
528D4×D61—42no—
529D4×D61—42no—
530#11758222—42no—
531#11758222—42no—
532C2×D244C22×C411yescharacteristic
533C2×D244C22×C411yescharacteristic
534C2×D244C22×C411yescharacteristic
535C2×D244C22×C411yescharacteristic
536C2×D244C22×C411yescharacteristic
537C2×D244C22×C411yescharacteristic
538C2×D244C22×C411yescharacteristic
539C2×C4×D61—41no—
540C2×C4×D61—41no—
541C2×C4×D61—41no—
542C2×C4×D61—41no—
543C2×C4×D61—41no—
544C2×C4×D61—41no—
545C2×C4×D61C22×C411yescharacteristic
546C2×C4×D61C22×C411yescharacteristic
547C2×C4×D61C22×C411yescharacteristic
548C2×C4×D61C22×C411yescharacteristic
549C2×C4×D61C22×C411yescharacteristic
550C2×C4×D61C22×C411yescharacteristic
551C2×C4×D61C22×C411yescharacteristic
552C2×C4×D61C22×C411yescharacteristic
553C2×C4×D61C22×C411yescharacteristic
554C2×C4×D61C22×C411yescharacteristic
555C2×C4×D61C22×C411yescharacteristic
556C2×C4×D61C22×C411yescharacteristic
557C2×C4×D61C2411yescharacteristic
558C2×C4×D61C2411yescharacteristic
559C2×C4×D61C2411yescharacteristic
560C2×C4×D61C2411yescharacteristic
561C2×C4×D61C2411yescharacteristic
562C2×Dic122C22×C411yescharacteristic
563C2×Dic122C22×C411yescharacteristic
564C2×Dic122C22×C411yescharacteristic
565#11758217—22no—
566#11758217—22no—
567#11758217—41no—
568#11758217—41no—
569#11758217—41no—
570#11758217—41no—
571#11758217—41no—
572#11758217—41no—
573C2×#92420—22no—
574C2×#92420—22no—
575C2×#92420—41no—
576C2×#92420—41no—
577C2×#92420—41no—
578C2×#92420—41no—
579C2×#92420—41no—
580C2×#92420—41no—
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
595C2×#92420C2411yescharacteristic
596C2×#92420C2411yescharacteristic
597#11758213—22no—
598#11758213—22no—
599#11758213—22no—
600#11758213—22no—
601#11758213—41no—
602#11758213—41no—
603#11758213—41no—
604#11758213—41no—
605#11758213—41no—
606#11758213—41no—
607#11758213—41no—
608#11758213—41no—
609#11758213—41no—
610#11758213—41no—
611D61⋊C8—22no—
612D61⋊C8—41no—
613D61⋊C8—41no—
614D61⋊C8—41no—
615D61⋊C8—41no—
616D61⋊C8—41no—
617C4⋊C4×C61C22×C411yescharacteristic
618C4⋊C4×C61C22×C411yescharacteristic
619C4⋊C4×C61C22×C411yescharacteristic
620C4⋊C4×C61C22×C411yescharacteristic
621C4⋊C4×C61C22×C411yescharacteristic
622C4⋊C4×C61C22×C411yescharacteristic
623C4⋊C4×C61C22×C411yescharacteristic
624C4⋊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
633C22⋊C4×C61C22×C411yescharacteristic
634C22⋊C4×C61C22×C411yescharacteristic
635C22⋊C4×C61C22×C411yescharacteristic
636C22⋊C4×C61C22×C411yescharacteristic
637C22⋊C4×C61C22×C411yescharacteristic
638C22⋊C4×C61C22×C411yescharacteristic
639C42×C61C22×C411yescharacteristic
640C42×C61C22×C411yescharacteristic
641C42×C61C22×C411yescharacteristic
642C22⋊Dic61C22×C411yescharacteristic
643C22⋊Dic61C22×C411yescharacteristic
644C22⋊Dic61C22×C411yescharacteristic
645C22⋊Dic61C22×C411yescharacteristic
646C22⋊Dic61C22×C411yescharacteristic
647C22⋊Dic61C22×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
672C4⋊Dic61C22×C411yescharacteristic
673C4⋊Dic61C22×C411yescharacteristic
674C4⋊Dic61C22×C411yescharacteristic
675C4⋊Dic61C22×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
692#11758196C22×C411yescharacteristic
693#11758196C22×C411yescharacteristic
694#11758196C22×C411yescharacteristic
695#11758196C22×C411yescharacteristic
696C4×Dic61C22×C411yescharacteristic
697C4×Dic61C22×C411yescharacteristic
698C4×Dic61C22×C411yescharacteristic
699C4×Dic61C22×C411yescharacteristic
700C4×Dic61C22×C411yescharacteristic
701C4×Dic61C22×C411yescharacteristic
702C4×Dic61C22×C411yescharacteristic
703C4×Dic61C2411yescharacteristic
704C4×Dic61C2411yescharacteristic
705C4×Dic61C2411yescharacteristic
706C4×Dic61C2411yescharacteristic
707C4×Dic61C2411yescharacteristic
708C4×Dic61C2411yescharacteristic
709C23×C61—22no—
710C23×C61—41no—
711C23×C61—41no—
712C23×C61C23×C411yescharacteristic
713C23×C61C23×C411yescharacteristic
714C23×C61C23×C411yescharacteristic
715C23×C61C23×C411yescharacteristic
716C22×D61—22no—
717C22×D61—41no—
718C22×D61—41no—
719C22×D61—41no—
720C22×D61—41no—
721C22×D61—41no—
722C22×D61—41no—
723C22×D61—41no—
724C22×D61—41no—
725C22×D61C23×C411yescharacteristic
726C22×D61C23×C411yescharacteristic
727C22×D61C23×C411yescharacteristic
728C22×D61C23×C411yescharacteristic
729C22×D61C23×C411yescharacteristic
730Q8×C61—41no—
731D4×C61—22no—
732D4×C61—41no—
733D4×C61—41no—
734C2×C4×C61—22no—
735C2×C4×C61—41no—
736C2×C4×C61—41no—
737C2×C4×C61—41no—
738C2×C4×C61—41no—
739C2×C4×C61C23×C411yescharacteristic
740C2×C4×C61C23×C411yescharacteristic
741C2×C4×C61C23×C411yescharacteristic
742C2×C4×C61C23×C411yescharacteristic
743C2×C4×C61C23×C411yescharacteristic
744C2×C4×C61C23×C411yescharacteristic
745C2×C4×C61C23×C411yescharacteristic
746C2×C4×C61C23×C411yescharacteristic
747C2×C4×C61C23×C411yescharacteristic
748C2×C4×C61C23×C411yescharacteristic
749C2×C4×C61C23×C411yescharacteristic
750C22⋊D61—22no—
751C22⋊D61—22no—
752C22⋊D61—22no—
753C22⋊D61—22no—
754C22⋊D61—22no—
755C22⋊D61—22no—
756C22⋊D61—41no—
757C22⋊D61—41no—
758C22⋊D61—41no—
759C22⋊D61—41no—
760C22⋊D61—41no—
761C22⋊D61—41no—
762C22⋊D61—41no—
763C22⋊D61—41no—
764C2×Dic61—22no—
765C2×Dic61—21no—
766C2×Dic61—21no—
767C2×Dic61—21no—
768C2×Dic61—21no—
769C2×Dic61—21no—
770C2×Dic61—21no—
771C2×Dic61—21no—
772C2×Dic61—21no—
773C2×Dic61—41no—
774C2×Dic61—41no—
775C2×Dic61—41no—
776C2×Dic61—41no—
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—
790D244—41no—
791D244—41no—
792D244—41no—
793D244—41no—
794D244—41no—
795C4×D61—22no—
796C4×D61—22no—
797C4×D61—21no—
798C4×D61—21no—
799C4×D61—21no—
800C4×D61—21no—
801C4×D61—21no—
802C4×D61—21no—
803C4×D61—21no—
804C4×D61—21no—
805C4×D61—21no—
806C4×D61—21no—
807C4×D61—41no—
808C4×D61—41no—
809C4×D61—41no—
810C4×D61—41no—
811C4×D61—41no—
812C4×D61—41no—
813C4×D61—41no—
814C4×D61—41no—
815C4×D61—41no—
816C4×D61—41no—
817Dic122—22no—
818Dic122—41no—
819Dic122—41no—
820#92420—21no—
821#92420—21no—
822#92420—21no—
823#92420—21no—
824#92420—21no—
825#92420—21no—
826#92420—21no—
827#92420—21no—
828#92420—21no—
829#92420—21no—
830#92420—21no—
831#92420—21no—
832#92420—21no—
833#92420—21no—
834#92420—21no—
835#92420H(5,𝔽2)12yes—
836#60324—611nomaximal, Sylow
837C22×C61—21no—
838C22×C61—21no—
839C22×C61—21no—
840C22×C61—21no—
841C22×C61—21no—
842C22×C61—21no—
843C22×C61—21no—
844C22×C61—21no—
845C22×C61—21no—
846C22×C61—21no—
847C22×C61—21no—
848C22×C61—82no—
849C22×C61#56812yes—
850C22×C61C24×C411yescharacteristic
851C2×D61—21no—
852C2×D61—21no—
853C2×D61—21no—
854C2×D61—21no—
855C2×D61—21no—
856C2×D61—21no—
857C2×D61—21no—
858C2×D61—21no—
859C2×D61—21no—
860C2×D61—21no—
861C2×D61—21no—
862C2×D61—21no—
863C2×D61—21no—
864C2×D61—21no—
865C2×D61—21no—
866C2×D61—82no—
867C2×D61—82no—
868C2×D61—82no—
869C4×C61—21no—
870C4×C61—21no—
871C4×C61—21no—
872C4×C61—21no—
873C4×C61—21no—
874C4×C61—21no—
875C4×C61—21no—
876C4×C61—21no—
877C4×C61—21no—
878C4×C61—21no—
879C4×C61—21no—
880Dic61—21no—
881Dic61—21no—
882Dic61—21no—
883Dic61—21no—
884Dic61—21no—
885Dic61—21no—
886Dic61—21no—
887Dic61—21no—
888Dic61—21no—
889Dic61#56812yes—
890Dic61C2×H(5,𝔽2)11yescharacteristic
891Dic61#58511yescharacteristic
892#3481—611no—
893#2995—611no—
894#2995—611no—
895#2994—611no—
896#2993—611no—
897#2990—611no—
898#2989—611no—
899#2981—611no—
900#2978—611no—
901#2978—611no—
902#2976—611no—
903#2976—611no—
904#2975—611no—
905#2974—611no—
906#2973—611no—
907#2973—611no—
908#2971—611no—
909#2969—611no—
910#2967—611no—
911#2967—611no—
912#2966—611no—
913#2965—611no—
914#2935—611no—
915D4×M16—611no—
916D4×M16—611no—
917D4×M16—611no—
918#2933—611no—
919#2933—611no—
920#2930—611no—
921#2930—611no—
922C2×#436—611no—
923C2×C61—22no—
924C2×C61—41no—
925C2×C61—41no—
926C2×C61—41no—
927C2×C61C4×H(5,𝔽2)11yescharacteristic
928C2×C61C2×#56811yescharacteristic
929C2×C61C2×#56811yescharacteristic
930D61—41no—
931D61—41no—
932D61—41no—
933D61—41no—
934D61—41no—
935C2×#131—611no—
936C2×#131—611no—
937C22×M16—611no—
938C22×M16—611no—
939C22×M16—611no—
940C22×M16—611no—
941#559—611no—
942#554—611no—
943#554—611no—
944#553—611no—
945#553—611no—
946#553—611no—
947#553—611no—
948#551—611no—
949#551—611no—
950#551—611no—
951#551#692311yescharacteristic
952#546—611no—
953#546—611no—
954#546—611no—
955#546—611no—
956D42—611no—
957#532—611no—
958#529—611no—
959#529—611no—
960#529—611no—
961#529—611no—
962#525—611no—
963#525—611no—
964#525—611no—
965#525—611no—
966C4×#41—611no—
967C4×#41—611no—
968C2×C4×D4—611no—
969C2×C4×D4—611no—
970C2×C4×D4—611no—
971C2×C4×D4—611no—
972#446—611no—
973#446—611no—
974#446—611no—
975#446—611no—
976#446—611no—
977#446—611no—
978C8×Q8—611no—
979C8×Q8—611no—
980#436—611no—
981#436—611no—
982#436—611no—
983#436—611no—
984#436—611no—
985#436—611no—
986#436—611no—
987#436—611no—
988#436—611no—
989#436—611no—
990#436—611no—
991#436—611no—
992#436—611no—
993#436—611no—
994#436—611no—
995#436—611no—
996#436—611no—
997#436—611no—
998#436—611no—
999#436—611no—
1000#436—611no—
1001#436—611no—
1002#436—611no—
1003#436—611no—
1004#436—611no—
1005#436—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—
1018#435—611no—
1019#435—611no—
1020#435—611no—
1021#435—611no—
1022#435—611no—
1023#435—611no—
1024#435—611no—
1025#435—611no—
1026#435—611no—
1027#435—611no—
1028#435—611no—
1029#435—611no—
1030#435—611no—
1031#435—611no—
1032#435—611no—
1033#435—611no—
1034#435—611no—
1035#435—611no—
1036#435—611no—
1037#435—611no—
1038#435—611no—
1039#435—611no—
1040#435—611no—
1041#435—611no—
1042C8×D4—611no—
1043C8×D4—611no—
1044C8×D4—611no—
1045C8×D4—611no—
1046C8×D4—611no—
1047C8×D4—611no—
1048C8×D4—611no—
1049C8×D4—611no—
1050C8×D4—611no—
1051C8×D4—611no—
1052#433—611no—
1053#433—611no—
1054#433—611no—
1055#433—611no—
1056#433—611no—
1057#433—611no—
1058#433—611no—
1059#433—611no—
1060#432—611no—
1061#432—611no—
1062#432—611no—
1063#432—611no—
1064#432—611no—
1065#432—611no—
1066#431—611no—
1067#431—611no—
1068#431—611no—
1069#431—611no—
1070#424—611no—
1071#424—611no—
1072#424—611no—
1073#424—611no—
1074#423—611no—
1075#423—611no—
1076#423—611no—
1077C2×C4⋊C8—611no—
1078C2×C4⋊C8—611no—
1079#408—611no—
1080#408—611no—
1081#408—611no—
1082#408—611no—
1083#408—611no—
1084#408—611no—
1085#407—611no—
1086#407—611no—
1087#407—611no—
1088#407—611no—
1089#407—611no—
1090#407—611no—
1091#407—611no—
1092#407—611no—
1093C2×C22⋊C8—611no—
1094C2×C22⋊C8—611no—
1095C2×C22⋊C8—611no—
1096C2×C22⋊C8—611no—
1097#405—611no—
1098#405—611no—
1099#405—611no—
1100#405—611no—
1101C4×M16—611no—
1102C4×M16—611no—
1103C4×M16—611no—
1104C4×M16—611no—
1105C2×C4×C8—611no—
1106C61#6032411yescharacteristic, complemented, Sylow
1107C2×#41—611no—
1108C2×#41—611no—
1109C2×#41—611no—
1110C2×#41—611no—
1111C22×D4—611no—
1112C22×D4—611no—
1113C22×D4—611no—
1114C22×D4—611no—
1115C23×C4—611no—
1116C23×C4—611no—
1117C23×C4—611no—
1118C23×C4—611no—
1119#131—2442no—
1120#131—2442no—
1121C2×M16—611no—
1122C2×M16—611no—
1123C2×M16—611no—
1124C2×M16—611no—
1125C2×M16—611no—
1126C2×M16—611no—
1127C2×M16—611no—
1128C2×M16—611no—
1129C2×M16—611no—
1130C2×M16—611no—
1131C2×M16—611no—
1132C2×M16—611no—
1133C2×M16—611no—
1134C2×M16—611no—
1135C2×M16—611no—
1136C2×M16—611no—
1137C2×M16—611no—
1138C2×M16—611no—
1139C2×M16—611no—
1140C2×M16—611no—
1141C2×M16—611no—
1142C2×M16—611no—
1143C2×M16—2442no—
1144C2×M16—2442no—
1145C2×M16—2442no—
1146C2×M16—2442no—
1147C22×C8—611no—
1148C22×C8—611no—
1149C22×C8—611no—
1150C22×C8—611no—
1151C22×C8—611no—
1152C22×C8—611no—
1153C22×C8—611no—
1154C22×C8—611no—
1155C22×C8—611no—
1156C22×C8—611no—
1157C22×C8—611no—
1158C22×C8—611no—
1159C22×C8—611no—
1160C22×C8—611no—
1161C4⋊Q8—611no—
1162#127—611no—
1163#126—611no—
1164#126—611no—
1165#126—611no—
1166#126—611no—
1167#126—611no—
1168#126—611no—
1169#126C2×#692311yescharacteristic
1170#126C2×#692311yescharacteristic
1171#125—611no—
1172#125—611no—
1173#125—611no—
1174#125—611no—
1175#124—611no—
1176#124—611no—
1177#124—611no—
1178#124—611no—
1179#124—611no—
1180#124C2×#692311yescharacteristic
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#123C2×#692311yescharacteristic
1195#123C2×#692311yescharacteristic
1196#123C2×#692311yescharacteristic
1197C22⋊Q8—611no—
1198C22⋊Q8—611no—
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⋊Q8C2×#692311yescharacteristic
1208C22⋊Q8C2×#692311yescharacteristic
1209#121—611no—
1210#121—611no—
1211#121—611no—
1212#121—611no—
1213#121—611no—
1214#121—611no—
1215#121—611no—
1216#121—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#120—611no—
1226#120—611no—
1227#120—611no—
1228#120—611no—
1229#120—611no—
1230#120—611no—
1231#120—611no—
1232#120C2×#692311yescharacteristic
1233C4×Q8—611no—
1234C4×Q8—611no—
1235C4×Q8—611no—
1236C4×Q8—611no—
1237C4×D4—611no—
1238C4×D4—611no—
1239C4×D4—611no—
1240C4×D4—611no—
1241C4×D4—611no—
1242C4×D4—611no—
1243C4×D4—611no—
1244C4×D4—611no—
1245C4×D4—611no—
1246C4×D4—611no—
1247C4×D4—611no—
1248C4×D4—611no—
1249C4×D4—611no—
1250C4×D4—611no—
1251C4×D4—611no—
1252C4×D4—611no—
1253C4×D4—611no—
1254C4×D4—611no—
1255C4×D4—611no—
1256C4×D4—611no—
1257C4×D4—611no—
1258C4×D4—611no—
1259C4×D4—611no—
1260C4×D4—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×D4C2×#692311yescharacteristic
1276C4×D4C2×#692311yescharacteristic
1277#117—611no—
1278#117—611no—
1279#117—611no—
1280#117—611no—
1281#117—611no—
1282#117—611no—
1283#117—611no—
1284#117—611no—
1285#117C2×#692311yescharacteristic
1286#117C2×#692311yescharacteristic
1287C2×C4⋊C4—611no—
1288C2×C4⋊C4—611no—
1289C2×C4⋊C4—611no—
1290C2×C4⋊C4—611no—
1291C2×C22⋊C4—611no—
1292C2×C22⋊C4—611no—
1293C2×C22⋊C4—611no—
1294C2×C22⋊C4—611no—
1295C2×C22⋊C4—611no—
1296C2×C22⋊C4—611no—
1297C2×C22⋊C4C2×#692311yescharacteristic
1298C2×C22⋊C4C2×#692311yescharacteristic
1299C2×C42—611no—
1300C2×C42—611no—
1301C2×C42—611no—
1302C2×C42—611no—
1303C2×C42—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—
1312C4⋊C8—611no—
1313C4⋊C8—611no—
1314C4⋊C8—611no—
1315C4⋊C8—611no—
1316C4⋊C8—611no—
1317C4⋊C8—611no—
1318C4⋊C8—611no—
1319C4⋊C8—611no—
1320C4⋊C8—611no—
1321C4⋊C8—611no—
1322C4⋊C8—611no—
1323C4⋊C8—611no—
1324C4⋊C8—611no—
1325C4⋊C8—611no—
1326C4⋊C8—611no—
1327C4⋊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—
1348C22⋊C8—611no—
1349C22⋊C8—611no—
1350C22⋊C8—611no—
1351C22⋊C8—611no—
1352C22⋊C8—611no—
1353C22⋊C8—611no—
1354C22⋊C8—611no—
1355C22⋊C8—611no—
1356C22⋊C8—611no—
1357C22⋊C8—611no—
1358C22⋊C8—611no—
1359C22⋊C8—611no—
1360C22⋊C8—611no—
1361C22⋊C8—611no—
1362C22⋊C8—611no—
1363C22⋊C8—611no—
1364#97—611no—
1365#97—611no—
1366#97—611no—
1367#97—611no—
1368#97—611no—
1369#97—611no—
1370#97—611no—
1371#97—611no—
1372#97—611no—
1373#97—611no—
1374#97—611no—
1375#97—611no—
1376C4×C8—611no—
1377C4×C8—611no—
1378C4×C8—611no—
1379C4×C8—611no—
1380C4×C8—611no—
1381C4×C8—611no—
1382C4×C8—611no—
1383C4×C8—611no—
1384C4×C8—611no—
1385C4×C8—611no—
1386C4×C8—611no—
1387C4×C8—611no—
1388C24—611no—
1389C24—611no—
1390C24—611no—
1391C24C22×#692311yescharacteristic
1392#41—2442no—
1393#41—2442no—
1394#41—2441no—
1395#41—2441no—
1396#41—2441no—
1397#41—2441no—
1398C2×Q8—611no—
1399C2×Q8—611no—
1400C2×Q8—611no—
1401C2×Q8C22×#692311yescharacteristic
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×D4—611no—
1418C2×D4—611no—
1419C2×D4—611no—
1420C2×D4—611no—
1421C2×D4—611no—
1422C2×D4—611no—
1423C2×D4—2442no—
1424C2×D4—2442no—
1425C2×D4—2442no—
1426C2×D4—2442no—
1427C2×D4C22×#692311yescharacteristic
1428C2×D4C22×#692311yescharacteristic
1429C2×D4C22×#692311yescharacteristic
1430C22×C4—611no—
1431C22×C4—611no—
1432C22×C4—611no—
1433C22×C4—611no—
1434C22×C4—611no—
1435C22×C4—611no—
1436C22×C4—611no—
1437C22×C4—611no—
1438C22×C4—611no—
1439C22×C4—611no—
1440C22×C4—611no—
1441C22×C4—611no—
1442C22×C4—611no—
1443C22×C4—611no—
1444C22×C4—611no—
1445C22×C4—611no—
1446C22×C4—611no—
1447C22×C4—611no—
1448C22×C4—611no—
1449C22×C4—611no—
1450C22×C4—611no—
1451C22×C4—611no—
1452C22×C4—611no—
1453C22×C4—611no—
1454C22×C4—611no—
1455C22×C4—611no—
1456C22×C4—2441no—
1457C22×C4—2441no—
1458C22×C4—2441no—
1459C22×C4—2441no—
1460C22×C4—2441no—
1461C22×C4—2441no—
1462C22×C4—2441no—
1463C22×C4—2441no—
1464C22×C4C22×#692311yescharacteristic
1465C22×C4C22×#692311yescharacteristic
1466C22×C4C22×#692311yescharacteristic
1467C22×C4C22×#692311yescharacteristic
1468C22×C4C22×#692311yescharacteristic
1469M16—1222no—
1470M16—1222no—
1471M16—1222no—
1472M16—1222no—
1473M16—1222no—
1474M16—1222no—
1475M16—2441no—
1476M16—2441no—
1477M16—2441no—
1478M16—2441no—
1479M16—2441no—
1480M16—2441no—
1481M16—2441no—
1482M16—2441no—
1483M16—2441no—
1484M16—2441no—
1485M16—2441no—
1486M16—2441no—
1487M16—2441no—
1488M16—2441no—
1489M16—2441no—
1490M16—2441no—
1491C2×C8—611no—
1492C2×C8—611no—
1493C2×C8—611no—
1494C2×C8—611no—
1495C2×C8—611no—
1496C2×C8—611no—
1497C2×C8—611no—
1498C2×C8—611no—
1499C2×C8—611no—
1500C2×C8—611no—
1501C2×C8—611no—
1502C2×C8—611no—
1503C2×C8—611no—
1504C2×C8—611no—
1505C2×C8—611no—
1506C2×C8—611no—
1507C2×C8—1222no—
1508C2×C8—1222no—
1509C2×C8—1222no—
1510C2×C8—2441no—
1511C2×C8—2441no—
1512C2×C8—2441no—
1513C2×C8—2441no—
1514C2×C8—2441no—
1515C2×C8—2441no—
1516C2×C8—2441no—
1517C2×C8—2441no—
1518C2×C8—2441no—
1519C2×C8—2441no—
1520C2×C8—2441no—
1521C4⋊C4—611no—
1522C4⋊C4—611no—
1523C4⋊C4—611no—
1524C4⋊C4—611no—
1525C4⋊C4—611no—
1526C4⋊C4—611no—
1527C4⋊C4—611no—
1528C4⋊C4—611no—
1529C4⋊C4—611no—
1530C4⋊C4—611no—
1531C4⋊C4—611no—
1532C4⋊C4—611no—
1533C4⋊C4—611no—
1534C4⋊C4—611no—
1535C4⋊C4—611no—
1536C4⋊C4—611no—
1537C4⋊C4—611no—
1538C4⋊C4—611no—
1539C4⋊C4—611no—
1540C4⋊C4—611no—
1541C4⋊C4—611no—
1542C4⋊C4—611no—
1543C4⋊C4—611no—
1544C4⋊C4—611no—
1545C4⋊C4C22×#692311yescharacteristic
1546C4⋊C4C22×#692311yescharacteristic
1547C4⋊C4C22×#692311yescharacteristic
1548C4⋊C4C22×#692311yescharacteristic
1549C4⋊C4C22×#692311yescharacteristic
1550C4⋊C4C22×#692311yescharacteristic
1551C4⋊C4C22×#692311yescharacteristic
1552C4⋊C4C22×#692311yescharacteristic
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⋊C4—611no—
1570C22⋊C4—611no—
1571C22⋊C4—611no—
1572C22⋊C4—611no—
1573C22⋊C4—611no—
1574C22⋊C4—611no—
1575C22⋊C4—611no—
1576C22⋊C4—611no—
1577C22⋊C4—611no—
1578C22⋊C4—611no—
1579C22⋊C4—611no—
1580C22⋊C4—611no—
1581C22⋊C4—611no—
1582C22⋊C4—611no—
1583C22⋊C4C22×#692311yescharacteristic
1584C22⋊C4C22×#692311yescharacteristic
1585C22⋊C4C22×#692311yescharacteristic
1586C22⋊C4C22×#692311yescharacteristic
1587C22⋊C4C22×#692311yescharacteristic
1588C22⋊C4C22×#692311yescharacteristic
1589C22⋊C4C22×#692311yescharacteristic
1590C22⋊C4C22×#692311yescharacteristic
1591C22⋊C4C22×#692311yescharacteristic
1592C22⋊C4C22×#692311yescharacteristic
1593C22⋊C4C22×#692311yescharacteristic
1594C22⋊C4C22×#692311yescharacteristic
1595C22⋊C4C22×#692311yescharacteristic
1596C22⋊C4C22×#692311yescharacteristic
1597C42—611no—
1598C42—611no—
1599C42—611no—
1600C42—611no—
1601C42—611no—
1602C42—611no—
1603C42—611no—
1604C42—611no—
1605C42—611no—
1606C42—611no—
1607C42—611no—
1608C42—611no—
1609C42—611no—
1610C42C22×#692311yescharacteristic
1611C42C22×#692311yescharacteristic
1612C42C22×#692311yescharacteristic
1613C23—22no—
1614C23—41no—
1615C23—41no—
1616C23—611no—
1617C23—611no—
1618C23—611no—
1619C23—611no—
1620C23—611no—
1621C23—1222no—
1622C23—2441no—
1623C23—2441no—
1624C23—2441no—
1625C23—2441no—
1626C23—2441no—
1627C23—2441no—
1628C23—2441no—
1629C23—2441no—
1630C23C23×#692311yescharacteristic
1631C23C23×#692311yescharacteristic
1632C23C23×#692311yescharacteristic
1633C23C23×#692311yescharacteristic
1634Q8—41no—
1635Q8—1222no—
1636Q8—2441no—
1637Q8—2441no—
1638D4—22no—
1639D4—41no—
1640D4—41no—
1641D4—1222no—
1642D4—1222no—
1643D4—1222no—
1644D4—1222no—
1645D4—1222no—
1646D4—1222no—
1647D4—2441no—
1648D4—2441no—
1649D4—2441no—
1650D4—2441no—
1651D4—2441no—
1652D4—2441no—
1653D4—2441no—
1654D4—2441no—
1655D4—2441no—
1656D4—2441no—
1657D4—2441no—
1658D4—2441no—
1659D4—2441no—
1660D4—2441no—
1661D4—2441no—
1662C2×C4—22no—
1663C2×C4—41no—
1664C2×C4—41no—
1665C2×C4—41no—
1666C2×C4—41no—
1667C2×C4—611no—
1668C2×C4—611no—
1669C2×C4—611no—
1670C2×C4—611no—
1671C2×C4—611no—
1672C2×C4—611no—
1673C2×C4—611no—
1674C2×C4—611no—
1675C2×C4—611no—
1676C2×C4—611no—
1677C2×C4—611no—
1678C2×C4—1221no—
1679C2×C4—1221no—
1680C2×C4—1221no—
1681C2×C4—1221no—
1682C2×C4—1221no—
1683C2×C4—1221no—
1684C2×C4—1221no—
1685C2×C4—1221no—
1686C2×C4—1221no—
1687C2×C4—1221no—
1688C2×C4—1222no—
1689C2×C4—1222no—
1690C2×C4—1221no—
1691C2×C4—1221no—
1692C2×C4—1221no—
1693C2×C4—1221no—
1694C2×C4—1221no—
1695C2×C4—1221no—
1696C2×C4—1221no—
1697C2×C4—1221no—
1698C2×C4—1222no—
1699C2×C4—2441no—
1700C2×C4—2441no—
1701C2×C4—2441no—
1702C2×C4—2441no—
1703C2×C4—2441no—
1704C2×C4—2441no—
1705C2×C4—2441no—
1706C2×C4—2441no—
1707C2×C4—2441no—
1708C2×C4—2441no—
1709C2×C4—2441no—
1710C2×C4—2441no—
1711C2×C4—2441no—
1712C2×C4—2441no—
1713C2×C4C23×#692311yescharacteristic
1714C2×C4C23×#692311yescharacteristic
1715C2×C4C23×#692311yescharacteristic
1716C2×C4C23×#692311yescharacteristic
1717C2×C4C23×#692311yescharacteristic
1718C2×C4C23×#692311yescharacteristic
1719C2×C4C23×#692311yescharacteristic
1720C2×C4C23×#692311yescharacteristic
1721C2×C4C23×#692311yescharacteristic
1722C2×C4C23×#692311yescharacteristic
1723C2×C4C23×#692311yescharacteristic
1724C8—612no—
1725C8—1221no—
1726C8—1221no—
1727C8—1221no—
1728C8—1221no—
1729C8—1221no—
1730C8—1221no—
1731C8—1221no—
1732C8—1221no—
1733C8—1221no—
1734C8—1221no—
1735C8—1221no—
1736C8—1221no—
1737C8—1221no—
1738C8—1221no—
1739C8—1221no—
1740C22—21no—
1741C22—21no—
1742C22—21no—
1743C22—21no—
1744C22—21no—
1745C22—21no—
1746C22—21no—
1747C22—21no—
1748C22—21no—
1749C22—21no—
1750C22—21no—
1751C22—82no—
1752C22—1221no—
1753C22—1221no—
1754C22—1221no—
1755C22—1221no—
1756C22—1221no—
1757C22—1221no—
1758C22—1221no—
1759C22—1221no—
1760C22—1221no—
1761C22—1221no—
1762C22—1221no—
1763C22—1221no—
1764C22—1221no—
1765C22—1221no—
1766C22—1221no—
1767C22—4882no—
1768C22—4882no—
1769C22—4882no—
1770C22#1684084112yes—
1771C22C24×#692311yescharacteristic
1772C4—21no—
1773C4—21no—
1774C4—21no—
1775C4—21no—
1776C4—21no—
1777C4—21no—
1778C4—21no—
1779C4—21no—
1780C4—21no—
1781C4—21no—
1782C4—21no—
1783C4—611no—
1784C4—611no—
1785C4—612no—
1786C4—1221no—
1787C4—1221no—
1788C4—1221no—
1789C4—1221no—
1790C4—1221no—
1791C4—1221no—
1792C4—1221no—
1793C4—1221no—
1794C4—1221no—
1795C2—22no—
1796C2—41no—
1797C2—41no—
1798C2—41no—
1799C2—2441no—
1800C2—2441no—
1801C2—2441no—
1802C2—2441no—
1803C2—2441no—
1804C2H(5,𝔽2)×#692311yescharacteristic
1805C2D61⋊#56811yescharacteristic
1806C2C2×#1684084111yescharacteristic
subgroupG/H
center, FrattiniC22C24×#6923
commutator, socleC22×C61C24×C4
FittingC61×#551C4
prime radical#21459422C2
cosocleC2×Dic61C25
hypercenter#551#6923
hypocenterC61#60324
LCSG ▷ C22×C61 ▷ C61
UCSC1 ◁ C22 ◁ #551

Complements

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

NH ≅ G/Ntype
1. #21462774C2semidirect
2. #21462773C2semidirect
3. #21462767C2semidirect
4. #21462763C2semidirect
5. #21462748C2semidirect
6. #21462741C2semidirect
7. #21462710C2semidirect
8. #21462698C2semidirect
9. #21462697C2semidirect
10. #21462689C2semidirect
11. #21462685C2semidirect
12. #21462682C2semidirect
13. #21462678C2semidirect
14. #21462672C2semidirect
15. #21462671C2semidirect
16. #21462662C2semidirect
17. #21462654C2semidirect
18. #21462642C2semidirect
19. #21462641C2semidirect
20. #21462634C2semidirect
21. #21462626C2semidirect
22. #21462564C2semidirect
23. #21462558C2semidirect
24. #21462557C2semidirect
25. D4×#11758213C2semidirect
26. #21462552C2semidirect
27. #21462551C2semidirect
28. #21462540C2semidirect
29. #21462539C2semidirect
30. C2×#16840795C2semidirect
32. C2×#14519865C22semidirect
33. C2×#14519864C22semidirect
34. C22×#11758213C22semidirect
35. C22×#11758213C22semidirect
36. C2×D61⋊M16C22semidirect
37. C22×#11758217C22semidirect
38. #16840814C22semidirect
39. #16840814C22semidirect
40. #16840814C22semidirect
41. #16840814C22semidirect
42. #16840812C22semidirect
43. #16840812C22semidirect
44. #16840811C22semidirect
45. #16840811C22semidirect
46. #16840797C22semidirect
47. #16840797C22semidirect
48. #16840796C22semidirect
49. #16840796C22semidirect
50. #16840796C22semidirect
51. #16840796C22semidirect
52. #16840796C22semidirect
53. #16840796C22semidirect
54. #16840796C22semidirect
55. #16840796C22semidirect
60. #16840795C22semidirect
61. #16840795C22semidirect
62. #16840795C22semidirect
63. #16840795C22semidirect
64. #16840795C22semidirect
65. #16840795C22semidirect
66. #16840795C22semidirect
67. #16840795C22semidirect
68. #16840795C22semidirect
69. #16840795C22semidirect
70. #16840795C22semidirect
71. #16840795C22semidirect
72. #16840794C22semidirect
73. #16840794C22semidirect
74. #16840794C22semidirect
75. #16840794C22semidirect
76. #16840794C22semidirect
77. #16840794C22semidirect
78. #16840794C22semidirect
79. #16840794C22semidirect
80. #16840793C22semidirect
81. #16840793C22semidirect
82. #16840793C22semidirect
83. #16840793C22semidirect
84. #16840792C22semidirect
85. #16840792C22semidirect
86. #16840792C22semidirect
87. #16840792C22semidirect
88. #16840792C22semidirect
89. #16840792C22semidirect
90. #16840792C22semidirect
91. #16840792C22semidirect
96. #16840791C22semidirect
97. #16840791C22semidirect
98. #16840791C22semidirect
99. #16840791C22semidirect
100. #16840791C22semidirect
101. #16840791C22semidirect
102. #16840791C22semidirect
103. #16840791C22semidirect
104. #16840791C22semidirect
105. #16840791C22semidirect
106. #16840791C22semidirect
107. #16840791C22semidirect
108. #16840789C22semidirect
109. #16840789C22semidirect
110. #16840789C22semidirect
111. #16840789C22semidirect
112. #16840789C22semidirect
113. #16840789C22semidirect
114. #16840789C22semidirect
115. #16840789C22semidirect
116. D4×#92420C22semidirect
117. D4×#92420C22semidirect
118. #16840787C22semidirect
119. #16840787C22semidirect
120. #16840787C22semidirect
121. #16840787C22semidirect
122. #16840786C22semidirect
123. #16840786C22semidirect
124. #16840786C22semidirect
125. #16840786C22semidirect
126. #16840785C22semidirect
127. #16840785C22semidirect
128. #16840784C22semidirect
129. #16840783C22semidirect
130. #16840783C22semidirect
131. #16840782C22semidirect
132. #16840781C22semidirect
133. #16840781C22semidirect
134. #16840780C22semidirect
135. #16840778C22semidirect
136. #16840769C22semidirect
137. #16840769C22semidirect
138. #16840768C22semidirect
139. #16840768C22semidirect
140. #16840767C22semidirect
141. #16840766C22semidirect
142. #16840765C22semidirect
143. C2×#14519844C22semidirect
144. D61⋊(C4⋊C8)C22semidirect
145. #16840737C22semidirect
146. #16840737C22semidirect
147. #16840737C22semidirect
148. #16840736C22semidirect
149. #16840735C22semidirect
150. #16840735C22semidirect
151. #16840734C22semidirect
152. #16840734C22semidirect
153. #16840733C22semidirect
154. #16840733C22semidirect
155. #16840733C22semidirect
156. #16840733C22semidirect
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. C4×#11758213C22semidirect
168. C4×#11758213C22semidirect
169. C4×#11758213C22semidirect
170. C4×#11758217C22semidirect
171. C2×C4×#92420C22semidirect
1106. C61#60324semidirect

Maximal subgroups

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

subgroupindex
#214627742
#214627732
#214627672
#214627632
#214627482
#214627412
#214627102
#214626982
#214626972
#214626892
#214626852
#214626822
#214626782
#214626722
#214626712
#214626622
#214626542
#214626422
#214626412
#214626342
#214626262
#214625642
#214625582
#214625572
D4×#117582132
#214625522
#214625512
#214625402
#214625392
C2×#168407952
#214594222
#6032461