Finite Group Databasebeta

← #30626541

Subgroups — #30626541

Order 15616.

1848 conjugacy classes of subgroups.

The subgroup lattice has 1790 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21462768C211yesmaximal, characteristic, complemented
2#21462760C211yesmaximal, characteristic, complemented
3#21462757C211yesmaximal, characteristic, complemented
4#21462754C211yesmaximal, characteristic, complemented
5#21462744C211yesmaximal, characteristic, complemented
6#21462742C211yesmaximal, characteristic, complemented
7#21462707C211yesmaximal, characteristic, complemented
8#21462705C211yesmaximal, characteristic, complemented
9#21462703C211yesmaximal, characteristic, complemented
10#21462701C211yesmaximal, characteristic, complemented
11#21462696C211yesmaximal, characteristic, complemented
12#21462695C211yesmaximal, characteristic, complemented
13#21462690C211yesmaximal, characteristic, complemented
14#21462685C211yesmaximal, characteristic, complemented
15#21462678C211yesmaximal, characteristic, complemented
16#21462664C211yesmaximal, characteristic, complemented
17#21462654C211yesmaximal, characteristic, complemented
18#21462642C211yesmaximal, characteristic, complemented
19#21462641C211yesmaximal, characteristic, complemented
20#21462634C211yesmaximal, characteristic, complemented
21#21462629C211yesmaximal, characteristic, complemented
22#21462564C211yesmaximal, characteristic, complemented
23#21462564C211yesmaximal, characteristic, complemented
24#21462561C211yesmaximal, characteristic, complemented
25#21462557C211yesmaximal, characteristic, complemented
26#21462551C211yesmaximal, characteristic, complemented
27#21462550C211yesmaximal, characteristic, complemented
28#21462542C211yesmaximal, characteristic, complemented
29#21462539C211yesmaximal, characteristic, complemented
30#21462538C211yesmaximal, characteristic, complemented
31#21459238C211yesmaximal, characteristic
32C2×#14519865C2211yescharacteristic, complemented
33C2×#14519864C2211yescharacteristic, complemented
34C2×#14519864C2211yescharacteristic, complemented
35C2×#14519864C2211yescharacteristic, complemented
36C2×D61⋊M16C2211yescharacteristic
37C22×#11758217C2211yescharacteristic
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
49#16840797C2211yescharacteristic
50#16840797C2211yescharacteristic, complemented
51#16840797C2211yescharacteristic, complemented
52#16840796C2211yescharacteristic, complemented
53#16840796C2211yescharacteristic, complemented
54#16840795C2211yescharacteristic
55#16840795C2211yescharacteristic
56#16840795C2211yescharacteristic
57#16840795C2211yescharacteristic
58#16840795C2211yescharacteristic
59#16840795C2211yescharacteristic
60#16840795C2211yescharacteristic
61#16840795C2211yescharacteristic
62#16840795C2211yescharacteristic, complemented
63#16840795C2211yescharacteristic, complemented
64#16840795C2211yescharacteristic, complemented
65#16840795C2211yescharacteristic, complemented
66#16840795C2211yescharacteristic, complemented
67#16840795C2211yescharacteristic, complemented
68#16840794C2211yescharacteristic
69#16840794C2211yescharacteristic
70#16840794C2211yescharacteristic
71#16840794C2211yescharacteristic
72#16840794C2211yescharacteristic
73#16840794C2211yescharacteristic
74#16840794C2211yescharacteristic
75#16840794C2211yescharacteristic
76#16840794C2211yescharacteristic, complemented
77#16840794C2211yescharacteristic, complemented
78#16840794C2211yescharacteristic, complemented
79#16840794C2211yescharacteristic, complemented
80#16840794C2211yescharacteristic, complemented
81#16840794C2211yescharacteristic, complemented
82#16840793C2211yescharacteristic
83#16840793C2211yescharacteristic
84#16840793C2211yescharacteristic
85#16840793C2211yescharacteristic
86#16840793C2211yescharacteristic, complemented
87#16840793C2211yescharacteristic, complemented
88#16840793C2211yescharacteristic, complemented
89#16840793C2211yescharacteristic, complemented
90#16840792C2211yescharacteristic, complemented
91#16840792C2211yescharacteristic, complemented
92#16840792C2211yescharacteristic, complemented
93#16840792C2211yescharacteristic, complemented
94#16840791C2211yescharacteristic
95#16840791C2211yescharacteristic
96#16840791C2211yescharacteristic
97#16840791C2211yescharacteristic
98#16840791C2211yescharacteristic, complemented
99#16840791C2211yescharacteristic, complemented
100#16840791C2211yescharacteristic, complemented
101#16840791C2211yescharacteristic, complemented
102#16840791C2211yescharacteristic, complemented
103#16840791C2211yescharacteristic, complemented
104#16840790C2211yescharacteristic, complemented
105#16840790C2211yescharacteristic, complemented
106#16840789C2211yescharacteristic
107#16840789C2211yescharacteristic
108#16840789C2211yescharacteristic
109#16840789C2211yescharacteristic
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#16840784C2211yescharacteristic, complemented
127#16840784C2211yescharacteristic, complemented
128#16840783C2211yescharacteristic, complemented
129#16840782C2211yescharacteristic
130#16840782C2211yescharacteristic, complemented
131#16840782C2211yescharacteristic, complemented
132#16840780C2211yescharacteristic, complemented
133#16840780C2211yescharacteristic, complemented
134#16840779C2211yescharacteristic, complemented
135#16840778C2211yescharacteristic
136#16840769C2211yescharacteristic, complemented
137#16840769C2211yescharacteristic, complemented
138#16840768C2211yescharacteristic, complemented
139#16840768C2211yescharacteristic, complemented
140#16840765C2211yescharacteristic
141#16840765C2211yescharacteristic, complemented
142D61⋊(C4⋊C8)C2211yescharacteristic, complemented
143D61⋊(C4⋊C8)C2211yescharacteristic, complemented
144C2×C4⋊#92420C2211yescharacteristic, complemented
145#16840737C2211yescharacteristic, complemented
146#16840737C2211yescharacteristic, complemented
147#16840737C2211yescharacteristic, complemented
148#16840736C2211yescharacteristic, complemented
149#16840736C2211yescharacteristic, complemented
150#16840736C2211yescharacteristic, complemented
151#16840735C2211yescharacteristic, complemented
152#16840735C2211yescharacteristic, complemented
153#16840735C2211yescharacteristic, complemented
154#16840735C2211yescharacteristic, complemented
155#16840735C2211yescharacteristic, complemented
156#16840735C2211yescharacteristic, complemented
157#16840734C2211yescharacteristic
158#16840733C2211yescharacteristic
159#16840732C2211yescharacteristic
160#16840732C2211yescharacteristic
161D61⋊(C22⋊C8)C2211yescharacteristic
162C2×C22⋊#92420C2211yescharacteristic
163#16840727C2211yescharacteristic, complemented
164#16840727C2211yescharacteristic, complemented
165#16840726C2211yescharacteristic, complemented
166#16840726C2211yescharacteristic, complemented
167C4×#11758213C2211yescharacteristic, complemented
168C4×#11758213C2211yescharacteristic, complemented
169C4×#11758217C2211yescharacteristic
170C4×#11758217C2211yescharacteristic, complemented
171C2×C4×#92420C2211yescharacteristic, complemented
172#16840391C411yescharacteristic
173#16840378C411yescharacteristic
174#16840378C411yescharacteristic
175#16840376C411yescharacteristic
176#16840376C411yescharacteristic
177#16840364C411yescharacteristic
178#16840364C411yescharacteristic
179#16840362C411yescharacteristic
180#16840362C411yescharacteristic
181#16840350C411yescharacteristic
182#16840345C411yescharacteristic
183#16840345C411yescharacteristic
184#16840339C411yescharacteristic
185#16840327C411yescharacteristic
186#16840327C411yescharacteristic
187#16840311C2211yescharacteristic
188#16840311C2211yescharacteristic
189#16840307C2211yescharacteristic
190#16840307C2211yescharacteristic
191#16840295C2211yescharacteristic
192#16840295C2211yescharacteristic
193#16840289C2211yescharacteristic
194#16840289C2211yescharacteristic
195#16840275C2211yescharacteristic
196#16840272C2211yescharacteristic
197#16840268C2211yescharacteristic
198#16840268C2211yescharacteristic
199C4×#11758224C2211yescharacteristic
200C4×#11758224C2211yescharacteristic
201C2×#14519737C2211yescharacteristic
202C61×#538C411yescharacteristic
203#14519865—42no—
204#14519864—42no—
205#14519864—42no—
206#14519864—42no—
207C2×#11758213C2311yescharacteristic
208C2×#11758213C2311yescharacteristic
209C2×#11758213C2311yescharacteristic
210C2×#11758213C2311yescharacteristic
211C2×#11758213C2311yescharacteristic
212C2×#11758213C2311yescharacteristic
213C2×#11758213C2311yescharacteristic
214C2×#11758213C2311yescharacteristic
215D61⋊M16—42no—
216C2×#11758217—42no—
217C2×#11758217C2311yescharacteristic
218C2×#11758217C2311yescharacteristic
219C2×#11758217C2311yescharacteristic
220C2×#11758217C2311yescharacteristic
221C2×#11758217C2311yescharacteristic
222C2×#11758217C2311yescharacteristic
223C2×#11758217C2311yescharacteristic
224C2×#11758217C2311yescharacteristic
225C2×#11758217C2311yescharacteristic
226C2×#11758217C2311yescharacteristic
227C2×#11758217C2311yescharacteristic
228C2×#11758217C2311yescharacteristic
229C2×D61⋊C8C2311yescharacteristic
230C2×D61⋊C8C2311yescharacteristic
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
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×#11758226C2311yescharacteristic
330C2×#11758224C2×C411yescharacteristic
331C2×#11758224C2×C411yescharacteristic
332C2×#11758224C2311yescharacteristic
333C2×#11758224C2311yescharacteristic
334C2×#11758224C2311yescharacteristic
335C22×C22⋊D61C2×C411yescharacteristic
336C23×Dic61C2311yescharacteristic
337C22×C4×D61C2311yescharacteristic
338#14519776C2×C411yescharacteristic
339#14519776C2×C411yescharacteristic
340#14519775C2×C411yescharacteristic
341#14519775C2×C411yescharacteristic
342#14519773C2×C411yescharacteristic
343#14519773C2×C411yescharacteristic
344#14519773C2×C411yescharacteristic
345#14519773C2×C411yescharacteristic
346#14519772C2×C411yescharacteristic
347#14519772C2×C411yescharacteristic
348#14519771C2×C411yescharacteristic
349#14519771C2×C411yescharacteristic
350#14519770C2×C411yescharacteristic
351#14519770C2×C411yescharacteristic
352#14519767C2×C411yescharacteristic
353#14519767C2×C411yescharacteristic
354#14519767C2×C411yescharacteristic
355#14519767C2×C411yescharacteristic
356#14519765C2×C411yescharacteristic
357#14519765C2×C411yescharacteristic
358#14519763C2×C411yescharacteristic
359#14519763C2×C411yescharacteristic
360#14519763C2×C411yescharacteristic
361#14519763C2×C411yescharacteristic
362#14519763C2×C411yescharacteristic
363#14519763C2×C411yescharacteristic
364#14519763C2×C411yescharacteristic
365#14519763C2×C411yescharacteristic
366#14519762C2×C411yescharacteristic
367#14519762C2×C411yescharacteristic
368#14519762C2×C411yescharacteristic
369#14519762C2×C411yescharacteristic
370#14519761C2×C411yescharacteristic
371#14519761C2×C411yescharacteristic
372#14519760C2×C411yescharacteristic
373#14519760C2×C411yescharacteristic
374#14519759C2×C411yescharacteristic
375#14519759C2×C411yescharacteristic
376#14519759C2×C411yescharacteristic
377#14519759C2×C411yescharacteristic
378#14519758C2×C411yescharacteristic
379#14519758C2×C411yescharacteristic
380#14519757C2×C411yescharacteristic
381#14519756C2×C411yescharacteristic
382#14519755C2×C411yescharacteristic
383#14519755C2×C411yescharacteristic
384#14519754C2×C411yescharacteristic
385#14519754C2×C411yescharacteristic
386#14519754C2×C411yescharacteristic
387#14519754C2×C411yescharacteristic
388#14519754C2×C411yescharacteristic
389#14519754C2×C411yescharacteristic
390#14519753C2×C411yescharacteristic
391#14519752C2×C411yescharacteristic
392#14519751C2×C411yescharacteristic
393#14519751C2×C411yescharacteristic
394#14519751C2×C411yescharacteristic
395#14519750C2×C411yescharacteristic
396#14519750C2×C411yescharacteristic
397#14519750C2×C411yescharacteristic
398#14519750C2×C411yescharacteristic
399#14519750C2×C411yescharacteristic
400#14519750C2×C411yescharacteristic
401#14519750C2×C411yescharacteristic
402#14519750C2×C411yescharacteristic
403#14519750C2×C411yescharacteristic
404#14519750C2×C411yescharacteristic
405#14519749C2×C411yescharacteristic
406#14519749C2×C411yescharacteristic
407#14519749C2×C411yescharacteristic
408#14519749C2×C411yescharacteristic
409#14519749C2×C411yescharacteristic
410#14519749C2×C411yescharacteristic
411#14519749C2×C411yescharacteristic
412#14519749C2×C411yescharacteristic
413#14519749C2×C411yescharacteristic
414#14519749C2×C411yescharacteristic
415#14519748C2×C411yescharacteristic
416#14519747C2×C411yescharacteristic
417#14519747C2×C411yescharacteristic
418#14519746C2×C411yescharacteristic
419#14519746C2×C411yescharacteristic
420#14519745C2×C411yescharacteristic
421#14519745C2×C411yescharacteristic
422C4×Dic122C2×C411yescharacteristic
423C4×Dic122C2×C411yescharacteristic
424#14519742C2311yescharacteristic
425#14519742C2311yescharacteristic
426D4×Dic61C2311yescharacteristic
427D4×Dic61C2311yescharacteristic
428D4×Dic61C2311yescharacteristic
429D4×Dic61C2311yescharacteristic
430#14519739C2311yescharacteristic
431#14519739C2311yescharacteristic
432C4×C22⋊D61C2×C411yescharacteristic
433C4×C22⋊D61C2×C411yescharacteristic
434C4×C22⋊D61C2×C411yescharacteristic
435C4×C22⋊D61C2×C411yescharacteristic
436#14519737C2×C411yescharacteristic
437#14519737C2×C411yescharacteristic
438#14519737C2×C411yescharacteristic
439#14519737C2×C411yescharacteristic
440#14519737C2311yescharacteristic
441#14519737C2311yescharacteristic
442#14519737C2311yescharacteristic
443#14519737C2311yescharacteristic
444#14519737C2311yescharacteristic
445#14519737C2311yescharacteristic
446#14519737C2311yescharacteristic
447#14519737C2311yescharacteristic
448#14519737C2311yescharacteristic
449#14519737C2311yescharacteristic
450#14519737C2311yescharacteristic
451#14519737C2311yescharacteristic
452#14519735C2×C411yescharacteristic
453#14519735C2×C411yescharacteristic
454#14519735C2311yescharacteristic
455#14519735C2311yescharacteristic
456#14519733C2×C411yescharacteristic
457#14519733C2×C411yescharacteristic
458#14519733C2×C411yescharacteristic
459#14519733C2×C411yescharacteristic
460#14519733C2311yescharacteristic
461#14519733C2311yescharacteristic
462C2×#11758196C2×C411yescharacteristic
463C2×#11758198C2×C411yescharacteristic
464C2×C4×Dic61C2311yescharacteristic
465C2×C4×Dic61C2311yescharacteristic
466C2×C4×Dic61C2311yescharacteristic
467C42×D61C2311yescharacteristic
468C42×D61C2311yescharacteristic
469#126×C61C2×C411yescharacteristic
470#126×C61C2×C411yescharacteristic
471#124×C61C2×C411yescharacteristic
472#124×C61C2×C411yescharacteristic
473#123×C61C2×C411yescharacteristic
474#123×C61C2×C411yescharacteristic
475C22⋊Q8×C61C2×C411yescharacteristic
476#121×C61C2×C411yescharacteristic
477#121×C61C2×C411yescharacteristic
478#121×C61C2×C411yescharacteristic
479#120×C61C2×C411yescharacteristic
480#120×C61C2×C411yescharacteristic
481C4×D4×C61C2×C411yescharacteristic
482C4×D4×C61C2×C411yescharacteristic
483C2×C22⋊C4×C61C2×C411yescharacteristic
484C24×C61C22×C411yescharacteristic
485C23×D61C22×C411yescharacteristic
486C2×Q8×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
494C22×C4×C61C22×C411yescharacteristic
495C22×C4×C61C22×C411yescharacteristic
496C22×C4×C61C22×C411yescharacteristic
497C22×C4×C61C22×C411yescharacteristic
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
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×Dic61C22×C411yescharacteristic
525C22×Dic61C2411yescharacteristic
526C22×Dic61C2411yescharacteristic
527C22×Dic61C2411yescharacteristic
528C22×Dic61C2411yescharacteristic
529C22×Dic61C2411yescharacteristic
530#11758226—41no—
531#11758226—41no—
532#11758224—42no—
533#11758224—42no—
534#11758224—41no—
535#11758224—41no—
536#11758224—41no—
537#11758224—41no—
538#11758224—41no—
539#11758224—41no—
540C2×D244C22×C411yescharacteristic
541C2×D244C22×C411yescharacteristic
542C2×D244C22×C411yescharacteristic
543C2×D244C22×C411yescharacteristic
544C2×D244C22×C411yescharacteristic
545C2×C4×D61—41no—
546C2×C4×D61—41no—
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×D61C2411yescharacteristic
554C2×C4×D61C2411yescharacteristic
555C2×C4×D61C2411yescharacteristic
556C2×C4×D61C2411yescharacteristic
557C2×Dic122C22×C411yescharacteristic
558C2×Dic122C22×C411yescharacteristic
559C2×Dic122C22×C411yescharacteristic
560C2×Dic122C22×C411yescharacteristic
561C2×Dic122C22×C411yescharacteristic
562#11758217—22no—
563#11758217—22no—
564#11758217—22no—
565#11758217—41no—
566#11758217—41no—
567#11758217—41no—
568#11758217—41no—
569#11758217—41no—
570#11758217—41no—
571#11758217—41no—
572#11758217—41no—
573#11758217—41no—
574C2×#92420—22no—
575C2×#92420—22no—
576C2×#92420—41no—
577C2×#92420—41no—
578C2×#92420—41no—
579C2×#92420—41no—
580C2×#92420—41no—
581C2×#92420—41no—
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
597C2×#92420C2411yescharacteristic
598#11758213—22no—
599#11758213—22no—
600#11758213—22no—
601#11758213—41no—
602#11758213—41no—
603#11758213—41no—
604#11758213—41no—
605#11758213—41no—
606D61⋊C8—22no—
607D61⋊C8—41no—
608D61⋊C8—41no—
609D61⋊C8—41no—
610D61⋊C8—41no—
611D61⋊C8—41no—
612D61⋊C8—41no—
613D61⋊C8—41no—
614C4⋊C4×C61C22×C411yescharacteristic
615C4⋊C4×C61C22×C411yescharacteristic
616C4⋊C4×C61C22×C411yescharacteristic
617C4⋊C4×C61C22×C411yescharacteristic
618C4⋊C4×C61C22×C411yescharacteristic
619C4⋊C4×C61C22×C411yescharacteristic
620C22⋊C4×C61C22×C411yescharacteristic
621C22⋊C4×C61C22×C411yescharacteristic
622C22⋊C4×C61C22×C411yescharacteristic
623C22⋊C4×C61C22×C411yescharacteristic
624C22⋊C4×C61C22×C411yescharacteristic
625C22⋊C4×C61C22×C411yescharacteristic
626C22⋊C4×C61C22×C411yescharacteristic
627C22⋊C4×C61C22×C411yescharacteristic
628C22⋊C4×C61C22×C411yescharacteristic
629C22⋊C4×C61C22×C411yescharacteristic
630C22⋊C4×C61C22×C411yescharacteristic
631C22⋊C4×C61C22×C411yescharacteristic
632C22⋊C4×C61C22×C411yescharacteristic
633C22⋊C4×C61C22×C411yescharacteristic
634C42×C61C22×C411yescharacteristic
635C42×C61C22×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
662#11758198C22×C411yescharacteristic
663#11758198C22×C411yescharacteristic
664#11758198C22×C411yescharacteristic
665#11758198C22×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×Dic61C22×C411yescharacteristic
698C4×Dic61C22×C411yescharacteristic
699C4×Dic61C22×C411yescharacteristic
700C4×Dic61C2411yescharacteristic
701C4×Dic61C2411yescharacteristic
702C4×Dic61C2411yescharacteristic
703C4×Dic61C2411yescharacteristic
704C4×Dic61C2411yescharacteristic
705C4×Dic61C2411yescharacteristic
706C23×C61—41no—
707C23×C61—41no—
708C23×C61—41no—
709C23×C61C23×C411yescharacteristic
710C23×C61C23×C411yescharacteristic
711C23×C61C23×C411yescharacteristic
712C23×C61C23×C411yescharacteristic
713C23×C61C23×C411yescharacteristic
714C22×D61—41no—
715C22×D61—41no—
716C22×D61—41no—
717C22×D61C23×C411yescharacteristic
718C22×D61C23×C411yescharacteristic
719C22×D61C23×C411yescharacteristic
720C22×D61C23×C411yescharacteristic
721Q8×C61—41no—
722D4×C61—41no—
723D4×C61—41no—
724D4×C61—41no—
725D4×C61—41no—
726D4×C61—41no—
727D4×C61—41no—
728D4×C61—41no—
729C2×C4×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
742C2×C4×C61C23×C411yescharacteristic
743C22⋊D61—22no—
744C22⋊D61—22no—
745C22⋊D61—22no—
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—
758C22⋊D61—41no—
759C22⋊D61—41no—
760C22⋊D61—41no—
761C2×Dic61—22no—
762C2×Dic61—22no—
763C2×Dic61—21no—
764C2×Dic61—21no—
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×Dic61C23×C411yescharacteristic
788C2×Dic61C2511yescharacteristic
789D244—41no—
790D244—41no—
791D244—41no—
792D244—41no—
793D244—41no—
794C4×D61—22no—
795C4×D61—21no—
796C4×D61—21no—
797C4×D61—21no—
798C4×D61—21no—
799C4×D61—21no—
800C4×D61—21no—
801C4×D61—21no—
802C4×D61—21no—
803C4×D61—41no—
804C4×D61—41no—
805C4×D61—41no—
806C4×D61—41no—
807C4×D61—41no—
808Dic122—22no—
809Dic122—41no—
810Dic122—41no—
811Dic122—41no—
812Dic122—41no—
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#92420—21no—
822#92420—21no—
823#92420—21no—
824#92420—21no—
825#92420—21no—
826#92420—21no—
827#92420—21no—
828#92420H(5,𝔽2)12yes—
829#60326—611nomaximal, Sylow
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—21no—
842C22×C61—21no—
843C22×C61—21no—
844C22×C61—21no—
845C22×C61—82no—
846C22×C61C24×C411yescharacteristic
847C2×D61—21no—
848C2×D61—21no—
849C2×D61—21no—
850C2×D61—21no—
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—82no—
860C4×C61—21no—
861C4×C61—21no—
862C4×C61—21no—
863C4×C61—21no—
864C4×C61—21no—
865C4×C61—21no—
866C4×C61—21no—
867C4×C61—21no—
868C4×C61—21no—
869C4×C61—21no—
870Dic61—21no—
871Dic61—21no—
872Dic61—21no—
873Dic61—21no—
874Dic61—21no—
875Dic61—21no—
876Dic61—21no—
877Dic61—21no—
878Dic61—21no—
879Dic61—21no—
880Dic61#56812yes—
881Dic61C2×H(5,𝔽2)11yescharacteristic
882Dic61#58511yescharacteristic
883#3460—611no—
884#2994—611no—
885#2993—611no—
886#2992—611no—
887#2992—611no—
888#2990—611no—
889#2989—611no—
890#2981—611no—
891#2980—611no—
892#2980—611no—
893#2979—611no—
894#2978—611no—
895#2978—611no—
896#2976—611no—
897#2976—611no—
898#2974—611no—
899#2971—611no—
900#2969—611no—
901#2967—611no—
902#2967—611no—
903#2966—611no—
904#2965—611no—
905#2935—611no—
906#2935—611no—
907#2935—611no—
908D4×M16—611no—
909#2933—611no—
910#2933—611no—
911#2931—611no—
912#2930—611no—
913#2930—611no—
914C2×C61—41no—
915C2×C61—41no—
916C2×C61—41no—
917C2×C61—41no—
918C2×C61—41no—
919C2×C61C4×H(5,𝔽2)11yescharacteristic
920C2×C61C2×#56811yescharacteristic
921C2×C61#357311yescharacteristic
922D61—41no—
923D61—41no—
924D61—41no—
925D61—41no—
926C2×#131—611no—
927C2×#131—611no—
928C2×#131—611no—
929C2×#131—611no—
930C22×M16—611no—
931C22×M16—611no—
932#544—611no—
933#542—611no—
934#542—611no—
935#542—611no—
936#542—611no—
937#540—611no—
938#540—611no—
939#540—611no—
940#540—611no—
941#538—611no—
942#538—611no—
943#538—611no—
944#538#692311yescharacteristic
945#537—611no—
946#535—611no—
947#535—611no—
948#532—611no—
949#532—611no—
950#532—611no—
951#532—611no—
952#529—611no—
953#529—611no—
954#529—611no—
955#529—611no—
956#525—611no—
957#525—611no—
958#525—611no—
959#525—611no—
960C4×#41—611no—
961C4×#41—611no—
962C2×C4×D4—611no—
963#446—611no—
964#446—611no—
965#446—611no—
966#446—611no—
967#446—611no—
968#446—611no—
969C8×Q8—611no—
970C8×Q8—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#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#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—
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—
1029C8×D4—611no—
1030C8×D4—611no—
1031C8×D4—611no—
1032C8×D4—611no—
1033C8×D4—611no—
1034C8×D4—611no—
1035C8×D4—611no—
1036C8×D4—611no—
1037C8×D4—611no—
1038C8×D4—611no—
1039C8×D4—611no—
1040C8×D4—611no—
1041C8×D4—611no—
1042C8×D4—611no—
1043#433—611no—
1044#433—611no—
1045#433—611no—
1046#433—611no—
1047#433—611no—
1048#433—611no—
1049#433—611no—
1050#433—611no—
1051#432—611no—
1052#432—611no—
1053#432—611no—
1054#432—611no—
1055#432—611no—
1056#432—611no—
1057#431—611no—
1058#431—611no—
1059#431—611no—
1060#431—611no—
1061#424—611no—
1062#424—611no—
1063#424—611no—
1064#424—611no—
1065#423—611no—
1066#423—611no—
1067C2×C4⋊C8—611no—
1068C2×C4⋊C8—611no—
1069C2×C4⋊C8—611no—
1070#408—611no—
1071#408—611no—
1072#408—611no—
1073#408—611no—
1074#408—611no—
1075#408—611no—
1076#408—611no—
1077#408—611no—
1078#408—611no—
1079#408—611no—
1080#408—611no—
1081#408—611no—
1082#407—611no—
1083#407—611no—
1084#407—611no—
1085#407—611no—
1086C2×C22⋊C8—611no—
1087C2×C22⋊C8—611no—
1088#405—611no—
1089#405—611no—
1090#405—611no—
1091#405—611no—
1092C4×M16—611no—
1093C4×M16—611no—
1094C4×M16—611no—
1095C4×M16—611no—
1096C2×C4×C8—611no—
1097C61#6032611yescharacteristic, complemented, Sylow
1098C2×#41—611no—
1099C2×#41—611no—
1100C2×#41—611no—
1101C2×#41—611no—
1102C2×#41—611no—
1103C2×#41—611no—
1104C22×D4—611no—
1105C23×C4—611no—
1106C23×C4—611no—
1107#131—2442no—
1108#131—2442no—
1109#131—2442no—
1110#131—2442no—
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—611no—
1120C2×M16—611no—
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—2442no—
1132C2×M16—2442no—
1133C22×C8—611no—
1134C22×C8—611no—
1135C22×C8—611no—
1136C22×C8—611no—
1137C22×C8—611no—
1138C22×C8—611no—
1139C22×C8—611no—
1140C22×C8—611no—
1141C22×C8—611no—
1142C22×C8—611no—
1143C22×C8—611no—
1144C22×C8—611no—
1145C22×C8—611no—
1146C22×C8—611no—
1147C22×C8—611no—
1148C22×C8—611no—
1149C4⋊Q8—611no—
1150C4⋊Q8—611no—
1151C4⋊Q8—611no—
1152C4⋊Q8—611no—
1153#127—611no—
1154#127—611no—
1155#127—611no—
1156#127—611no—
1157#126—611no—
1158#126—611no—
1159#126—611no—
1160#126—611no—
1161#126—611no—
1162#126—611no—
1163#126C2×#692311yescharacteristic
1164#126C2×#692311yescharacteristic
1165#125—611no—
1166#125—611no—
1167#125—611no—
1168#125—611no—
1169#124—611no—
1170#124—611no—
1171#124—611no—
1172#124—611no—
1173#124—611no—
1174#124—611no—
1175#124—611no—
1176#124—611no—
1177#124—611no—
1178#124—611no—
1179#124C2×#692311yescharacteristic
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#123—611no—
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⋊Q8—611no—
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#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#121C2×#692311yescharacteristic
1235#121C2×#692311yescharacteristic
1236#121C2×#692311yescharacteristic
1237#120—611no—
1238#120—611no—
1239#120—611no—
1240#120—611no—
1241#120—611no—
1242#120—611no—
1243#120C2×#692311yescharacteristic
1244#120C2×#692311yescharacteristic
1245C4×Q8—611no—
1246C4×Q8—611no—
1247C4×Q8—611no—
1248C4×Q8—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#117—611no—
1286#117—611no—
1287C2×C4⋊C4—611no—
1288C2×C22⋊C4—611no—
1289C2×C22⋊C4C2×#692311yescharacteristic
1290C2×C42—611no—
1291C2×C42—611no—
1292C2×C42—611no—
1293C2×C42—611no—
1294C2×C42—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—
1312C4⋊C8—611no—
1313C4⋊C8—611no—
1314C4⋊C8—611no—
1315C4⋊C8—611no—
1316C4⋊C8—611no—
1317C4⋊C8—611no—
1318C4⋊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—
1348C22⋊C8—611no—
1349C22⋊C8—611no—
1350C22⋊C8—611no—
1351C22⋊C8—611no—
1352C22⋊C8—611no—
1353C22⋊C8—611no—
1354C22⋊C8—611no—
1355#97—611no—
1356#97—611no—
1357#97—611no—
1358#97—611no—
1359#97—611no—
1360#97—611no—
1361#97—611no—
1362#97—611no—
1363#97—611no—
1364#97—611no—
1365#97—611no—
1366#97—611no—
1367C4×C8—611no—
1368C4×C8—611no—
1369C4×C8—611no—
1370C4×C8—611no—
1371C4×C8—611no—
1372C4×C8—611no—
1373C4×C8—611no—
1374C4×C8—611no—
1375C4×C8—611no—
1376C4×C8—611no—
1377C4×C8—611no—
1378C4×C8—611no—
1379C24—611no—
1380C24C22×#692311yescharacteristic
1381#41—2441no—
1382#41—2441no—
1383#41—2441no—
1384#41—2441no—
1385#41—2441no—
1386#41—2441no—
1387#41—2442no—
1388#41—2441no—
1389#41—2441no—
1390#41—2442no—
1391C2×Q8—611no—
1392C2×Q8—611no—
1393C2×Q8—611no—
1394C2×Q8—611no—
1395C2×Q8—611no—
1396C2×Q8C22×#692311yescharacteristic
1397C2×D4—611no—
1398C2×D4—611no—
1399C2×D4—611no—
1400C2×D4—611no—
1401C2×D4—611no—
1402C2×D4—611no—
1403C2×D4—611no—
1404C2×D4—611no—
1405C2×D4—611no—
1406C2×D4—611no—
1407C2×D4—611no—
1408C2×D4—611no—
1409C2×D4—611no—
1410C2×D4—611no—
1411C2×D4—611no—
1412C2×D4—611no—
1413C2×D4—611no—
1414C2×D4—611no—
1415C2×D4—611no—
1416C2×D4—611no—
1417C2×D4—611no—
1418C2×D4—611no—
1419C2×D4—611no—
1420C2×D4—2442no—
1421C2×D4C22×#692311yescharacteristic
1422C2×D4C22×#692311yescharacteristic
1423C2×D4C22×#692311yescharacteristic
1424C2×D4C22×#692311yescharacteristic
1425C2×D4C22×#692311yescharacteristic
1426C2×D4C22×#692311yescharacteristic
1427C2×D4C22×#692311yescharacteristic
1428C22×C4—611no—
1429C22×C4—611no—
1430C22×C4—611no—
1431C22×C4—611no—
1432C22×C4—611no—
1433C22×C4—611no—
1434C22×C4—611no—
1435C22×C4—611no—
1436C22×C4—611no—
1437C22×C4—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—2441no—
1450C22×C4—2441no—
1451C22×C4—2441no—
1452C22×C4—2441no—
1453C22×C4C22×#692311yescharacteristic
1454C22×C4C22×#692311yescharacteristic
1455C22×C4C22×#692311yescharacteristic
1456C22×C4C22×#692311yescharacteristic
1457M16—1222no—
1458M16—1222no—
1459M16—1222no—
1460M16—1222no—
1461M16—1222no—
1462M16—1222no—
1463M16—2441no—
1464M16—2441no—
1465M16—2441no—
1466M16—2441no—
1467M16—2441no—
1468M16—2441no—
1469M16—2441no—
1470M16—2441no—
1471M16—2441no—
1472M16—2441no—
1473M16—2441no—
1474M16—2441no—
1475M16—2441no—
1476M16—2441no—
1477C2×C8—611no—
1478C2×C8—611no—
1479C2×C8—611no—
1480C2×C8—611no—
1481C2×C8—611no—
1482C2×C8—611no—
1483C2×C8—611no—
1484C2×C8—611no—
1485C2×C8—611no—
1486C2×C8—611no—
1487C2×C8—611no—
1488C2×C8—611no—
1489C2×C8—611no—
1490C2×C8—611no—
1491C2×C8—611no—
1492C2×C8—611no—
1493C2×C8—1222no—
1494C2×C8—1222no—
1495C2×C8—1222no—
1496C2×C8—2441no—
1497C2×C8—2441no—
1498C2×C8—2441no—
1499C2×C8—2441no—
1500C2×C8—2441no—
1501C2×C8—2441no—
1502C2×C8—2441no—
1503C2×C8—2441no—
1504C2×C8—2441no—
1505C2×C8—2441no—
1506C2×C8—2441no—
1507C2×C8—2441no—
1508C2×C8—2441no—
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⋊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⋊C4C22×#692311yescharacteristic
1536C4⋊C4C22×#692311yescharacteristic
1537C4⋊C4C22×#692311yescharacteristic
1538C4⋊C4C22×#692311yescharacteristic
1539C4⋊C4C22×#692311yescharacteristic
1540C4⋊C4C22×#692311yescharacteristic
1541C22⋊C4—611no—
1542C22⋊C4—611no—
1543C22⋊C4—611no—
1544C22⋊C4—611no—
1545C22⋊C4—611no—
1546C22⋊C4—611no—
1547C22⋊C4—611no—
1548C22⋊C4—611no—
1549C22⋊C4—611no—
1550C22⋊C4—611no—
1551C22⋊C4—611no—
1552C22⋊C4—611no—
1553C22⋊C4—611no—
1554C22⋊C4—611no—
1555C22⋊C4—611no—
1556C22⋊C4—611no—
1557C22⋊C4—611no—
1558C22⋊C4—611no—
1559C22⋊C4—611no—
1560C22⋊C4—611no—
1561C22⋊C4—611no—
1562C22⋊C4—611no—
1563C22⋊C4—611no—
1564C22⋊C4—611no—
1565C22⋊C4—611no—
1566C22⋊C4—611no—
1567C22⋊C4—611no—
1568C22⋊C4—611no—
1569C22⋊C4—611no—
1570C22⋊C4—611no—
1571C22⋊C4C22×#692311yescharacteristic
1572C22⋊C4C22×#692311yescharacteristic
1573C22⋊C4C22×#692311yescharacteristic
1574C22⋊C4C22×#692311yescharacteristic
1575C22⋊C4C22×#692311yescharacteristic
1576C22⋊C4C22×#692311yescharacteristic
1577C22⋊C4C22×#692311yescharacteristic
1578C22⋊C4C22×#692311yescharacteristic
1579C22⋊C4C22×#692311yescharacteristic
1580C22⋊C4C22×#692311yescharacteristic
1581C22⋊C4C22×#692311yescharacteristic
1582C22⋊C4C22×#692311yescharacteristic
1583C22⋊C4C22×#692311yescharacteristic
1584C22⋊C4C22×#692311yescharacteristic
1585C42—611no—
1586C42—611no—
1587C42—611no—
1588C42—611no—
1589C42—611no—
1590C42—611no—
1591C42—611no—
1592C42—611no—
1593C42—611no—
1594C42—611no—
1595C42—611no—
1596C42—611no—
1597C42—611no—
1598C42—611no—
1599C42C22×#692311yescharacteristic
1600C42C22×#692311yescharacteristic
1601C23—41no—
1602C23—41no—
1603C23—41no—
1604C23—611no—
1605C23—611no—
1606C23—611no—
1607C23—611no—
1608C23—2441no—
1609C23—2441no—
1610C23—2441no—
1611C23C23×#692311yescharacteristic
1612C23C23×#692311yescharacteristic
1613C23C23×#692311yescharacteristic
1614C23C23×#692311yescharacteristic
1615C23C23×#692311yescharacteristic
1616Q8—41no—
1617Q8—1222no—
1618Q8—2441no—
1619Q8—2441no—
1620Q8—2441no—
1621Q8—2441no—
1622D4—41no—
1623D4—41no—
1624D4—41no—
1625D4—41no—
1626D4—41no—
1627D4—41no—
1628D4—41no—
1629D4—1222no—
1630D4—1222no—
1631D4—1222no—
1632D4—2441no—
1633D4—2441no—
1634D4—2441no—
1635D4—2441no—
1636D4—2441no—
1637D4—2441no—
1638D4—2441no—
1639D4—2441no—
1640D4—2441no—
1641D4—2441no—
1642D4—2441no—
1643D4—2441no—
1644D4—2441no—
1645D4—2441no—
1646D4—2441no—
1647D4—2441no—
1648D4—2441no—
1649D4—2441no—
1650D4—2441no—
1651D4—2441no—
1652C2×C4—41no—
1653C2×C4—41no—
1654C2×C4—41no—
1655C2×C4—41no—
1656C2×C4—611no—
1657C2×C4—611no—
1658C2×C4—611no—
1659C2×C4—611no—
1660C2×C4—611no—
1661C2×C4—611no—
1662C2×C4—611no—
1663C2×C4—611no—
1664C2×C4—611no—
1665C2×C4—611no—
1666C2×C4—611no—
1667C2×C4—611no—
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—1222no—
1677C2×C4—1221no—
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—1222no—
1688C2×C4—1222no—
1689C2×C4—2441no—
1690C2×C4—2441no—
1691C2×C4—2441no—
1692C2×C4—2441no—
1693C2×C4—2441no—
1694C2×C4—2441no—
1695C2×C4—2441no—
1696C2×C4—2441no—
1697C2×C4—2441no—
1698C2×C4C23×#692311yescharacteristic
1699C2×C4C23×#692311yescharacteristic
1700C2×C4C23×#692311yescharacteristic
1701C2×C4C23×#692311yescharacteristic
1702C2×C4C23×#692311yescharacteristic
1703C2×C4C23×#692311yescharacteristic
1704C2×C4C23×#692311yescharacteristic
1705C2×C4C23×#692311yescharacteristic
1706C2×C4C23×#692311yescharacteristic
1707C2×C4C23×#692311yescharacteristic
1708C8—612no—
1709C8—1221no—
1710C8—1221no—
1711C8—1221no—
1712C8—1221no—
1713C8—1221no—
1714C8—1221no—
1715C8—1221no—
1716C8—1221no—
1717C8—1221no—
1718C8—1221no—
1719C8—1221no—
1720C8—1221no—
1721C8—1221no—
1722C8—1221no—
1723C8—1221no—
1724C22—21no—
1725C22—21no—
1726C22—21no—
1727C22—21no—
1728C22—21no—
1729C22—21no—
1730C22—21no—
1731C22—21no—
1732C22—21no—
1733C22—21no—
1734C22—21no—
1735C22—21no—
1736C22—21no—
1737C22—21no—
1738C22—21no—
1739C22—82no—
1740C22—1221no—
1741C22—1221no—
1742C22—1221no—
1743C22—1221no—
1744C22—1221no—
1745C22—1221no—
1746C22—1221no—
1747C22—1221no—
1748C22—1221no—
1749C22—1221no—
1750C22—1221no—
1751C22—1221no—
1752C22—4882no—
1753C22C24×#692311yescharacteristic
1754C4—21no—
1755C4—21no—
1756C4—21no—
1757C4—21no—
1758C4—21no—
1759C4—21no—
1760C4—21no—
1761C4—21no—
1762C4—21no—
1763C4—21no—
1764C4—611no—
1765C4—611no—
1766C4—612no—
1767C4—1221no—
1768C4—1221no—
1769C4—1221no—
1770C4—1221no—
1771C4—1221no—
1772C4—1221no—
1773C4—1221no—
1774C4—1221no—
1775C4—1221no—
1776C4—1221no—
1777C2—41no—
1778C2—41no—
1779C2—41no—
1780C2—41no—
1781C2—41no—
1782C2—2441no—
1783C2—2441no—
1784C2—2441no—
1785C2—2441no—
1786C2H(5,𝔽2)×#692311yescharacteristic
1787C2D61⋊#56811yescharacteristic
1788C2#2146281411yescharacteristic
subgroupG/H
center, FrattiniC22C24×#6923
commutator, socleC22×C61C24×C4
FittingC61×#538C4
prime radical#21459238C2
cosocleC2×Dic61C25
hypercenter#538#6923
hypocenterC61#60326
LCSG ▷ C22×C61 ▷ C61
UCSC1 ◁ C22 ◁ #538

Complements

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

NH ≅ G/Ntype
1. #21462768C2semidirect
2. #21462760C2semidirect
3. #21462757C2semidirect
4. #21462754C2semidirect
5. #21462744C2semidirect
6. #21462742C2semidirect
7. #21462707C2semidirect
8. #21462705C2semidirect
9. #21462703C2semidirect
10. #21462701C2semidirect
11. #21462696C2semidirect
12. #21462695C2semidirect
13. #21462690C2semidirect
14. #21462685C2semidirect
15. #21462678C2semidirect
16. #21462664C2semidirect
17. #21462654C2semidirect
18. #21462642C2semidirect
19. #21462641C2semidirect
20. #21462634C2semidirect
21. #21462629C2semidirect
22. #21462564C2semidirect
23. #21462564C2semidirect
24. #21462561C2semidirect
25. #21462557C2semidirect
26. #21462551C2semidirect
27. #21462550C2semidirect
28. #21462542C2semidirect
29. #21462539C2semidirect
30. #21462538C2semidirect
32. C2×#14519865C22semidirect
33. C2×#14519864C22semidirect
34. C2×#14519864C22semidirect
35. C2×#14519864C22semidirect
38. #16840814C22semidirect
39. #16840814C22semidirect
40. #16840814C22semidirect
41. #16840814C22semidirect
42. #16840812C22semidirect
43. #16840812C22semidirect
44. #16840811C22semidirect
45. #16840811C22semidirect
50. #16840797C22semidirect
51. #16840797C22semidirect
52. #16840796C22semidirect
53. #16840796C22semidirect
62. #16840795C22semidirect
63. #16840795C22semidirect
64. #16840795C22semidirect
65. #16840795C22semidirect
66. #16840795C22semidirect
67. #16840795C22semidirect
76. #16840794C22semidirect
77. #16840794C22semidirect
78. #16840794C22semidirect
79. #16840794C22semidirect
80. #16840794C22semidirect
81. #16840794C22semidirect
86. #16840793C22semidirect
87. #16840793C22semidirect
88. #16840793C22semidirect
89. #16840793C22semidirect
90. #16840792C22semidirect
91. #16840792C22semidirect
92. #16840792C22semidirect
93. #16840792C22semidirect
98. #16840791C22semidirect
99. #16840791C22semidirect
100. #16840791C22semidirect
101. #16840791C22semidirect
102. #16840791C22semidirect
103. #16840791C22semidirect
104. #16840790C22semidirect
105. #16840790C22semidirect
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. #16840784C22semidirect
127. #16840784C22semidirect
128. #16840783C22semidirect
130. #16840782C22semidirect
131. #16840782C22semidirect
132. #16840780C22semidirect
133. #16840780C22semidirect
134. #16840779C22semidirect
136. #16840769C22semidirect
137. #16840769C22semidirect
138. #16840768C22semidirect
139. #16840768C22semidirect
141. #16840765C22semidirect
142. D61⋊(C4⋊C8)C22semidirect
143. D61⋊(C4⋊C8)C22semidirect
144. C2×C4⋊#92420C22semidirect
145. #16840737C22semidirect
146. #16840737C22semidirect
147. #16840737C22semidirect
148. #16840736C22semidirect
149. #16840736C22semidirect
150. #16840736C22semidirect
151. #16840735C22semidirect
152. #16840735C22semidirect
153. #16840735C22semidirect
154. #16840735C22semidirect
155. #16840735C22semidirect
156. #16840735C22semidirect
163. #16840727C22semidirect
164. #16840727C22semidirect
165. #16840726C22semidirect
166. #16840726C22semidirect
167. C4×#11758213C22semidirect
168. C4×#11758213C22semidirect
170. C4×#11758217C22semidirect
171. C2×C4×#92420C22semidirect
1097. C61#60326semidirect

Maximal subgroups

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

subgroupindex
#214627682
#214627602
#214627572
#214627542
#214627442
#214627422
#214627072
#214627052
#214627032
#214627012
#214626962
#214626952
#214626902
#214626852
#214626782
#214626642
#214626542
#214626422
#214626412
#214626342
#214626292
#214625642
#214625612
#214625572
#214625512
#214625502
#214625422
#214625392
#214625382
#214592382
#6032661