Finite Group Databasebeta

← D11×#3537 #15661002

Subgroups — D11×#3537 #15661002

Order 2816.

8890 conjugacy classes of subgroups.

The subgroup lattice has 1632 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#13082855C211yesmaximal, characteristic, complemented
2#13082854C212yesmaximal, complemented
3#13082853C214yesmaximal, complemented
4#13082852C214yesmaximal, complemented
5#13082851C212yesmaximal, complemented
6#13082850C214yesmaximal, complemented
7#13082849C212yesmaximal, complemented
8#13082848C214yesmaximal, complemented
9#13082847C214yesmaximal, complemented
10#13082846C214yesmaximal, complemented
11D11×#560C214yesmaximal, complemented
12D11×#553C214yesmaximal, complemented
13D42×D11C214yesmaximal, complemented
14D42×D11C214yesmaximal, complemented
15D11×#540C212yesmaximal, complemented
16D11×#538C214yesmaximal, complemented
17D11×#535C212yesmaximal, complemented
18D11×#534C214yesmaximal, complemented
19D11×#525C211yesmaximal, characteristic, complemented
20C2×D11×#121C212yesmaximal, complemented
21C11×#3537C211yesmaximal, characteristic, complemented
22C2×#41×D11C2211yescharacteristic, complemented
23C22×D4×D11C2218yescomplemented
24C22×D4×D11C2212yescomplemented
25C22×D4×D11C2212yescomplemented
26C22×D4×D11C2214yescomplemented
27C23×C4×D11C2211yescharacteristic, complemented
28C11×#560C2214yescomplemented
29C11×#553C2214yescomplemented
30D42×C11C2214yescomplemented
31D42×C11C2214yescomplemented
32C11×#540C2212yescomplemented
33C11×#538C2214yescomplemented
34C11×#535C2212yescomplemented
35C11×#534C2214yescomplemented
36C11×#525C2211yescharacteristic, complemented
37C2×C11×#121C2212yescomplemented
38#10623361C2212yescomplemented
39#10623359C2211yescharacteristic, complemented
40#10623336C2212yescomplemented
41#10623335C2218yescomplemented
42C2×#66992C2214yescomplemented
43D4×C22⋊D11C2218yescomplemented
44D4×C22⋊D11C2218yescomplemented
45D4×C22⋊D11C2214yescomplemented
46D4×C22⋊D11C2214yescomplemented
47D4×C22⋊D11C2218yescomplemented
48C2×#66991C2212yescomplemented
49#10623322C2211yescharacteristic, complemented
50C2×#66983C2212yescomplemented
51#10623251C2214yescomplemented
52#10623250C2212yescomplemented
53#10623248C2214yescomplemented
54#10623248C2214yescomplemented
55#10623246C2214yescomplemented
56D11×#127C2214yescomplemented
57D11×#127C2212yescomplemented
58#10623242C2218yescomplemented
59#10623240C2218yescomplemented
60#10623235C2218yescomplemented
61D11×#126C2218yescomplemented
62#10623229C2212yescomplemented
63#10623226C2214yescomplemented
64D11×#125C2212yescomplemented
65#10623209C2218yescomplemented
66#10623205C2214yescomplemented
67D11×#124C2214yescomplemented
68#10623197C2214yescomplemented
69#10623197C2218yescomplemented
70#10623194C2218yescomplemented
71#10623192C2218yescomplemented
72#10623188C2218yescomplemented
73#10623187C2212yescomplemented
74#10623184C2218yescomplemented
75#10623184C2218yescomplemented
76D11×#123C2218yescomplemented
77D11×#123C2218yescomplemented
78D11×#123C2212yescomplemented
79#10623175C2214yescomplemented
80#10623158C2212yescomplemented
81D11×C22⋊Q8C2212yescomplemented
82#10623151C2218yescomplemented
83#10623151C2218yescomplemented
84#10623151C2218yescomplemented
85#10623150C2214yescomplemented
86#10623149C2214yescomplemented
87#10623148C2214yescomplemented
88#10623146C2218yescomplemented
89#10623145C2214yescomplemented
90#10623144C2218yescomplemented
91#10623140C2218yescomplemented
92#10623140C2214yescomplemented
93#10623140C2218yescomplemented
94#10623140C2214yescomplemented
95#10623140C2218yescomplemented
96#10623138C2214yescomplemented
97#10623138C2214yescomplemented
98#10623137C2212yescomplemented
99#10623136C2218yescomplemented
100#10623136C2214yescomplemented
101#10623136C2214yescomplemented
102D11×#121C2218yescomplemented
103D11×#121C2214yescomplemented
104D11×#121C2214yescomplemented
105D11×#121C2212yescomplemented
106D11×#121C2214yescomplemented
107D11×#121C2214yescomplemented
108D11×#121C2218yescomplemented
109D11×#121C2214yescomplemented
110D11×#121C2218yescomplemented
111D11×#121C2214yescomplemented
112D11×#121C2214yescomplemented
113D11×#121C2214yescomplemented
114D11×#121C2214yescomplemented
115#10623132C2218yescomplemented
116#10623126C2214yescomplemented
117#10623126C2218yescomplemented
118#10623124C2218yescomplemented
119#10623123C2214yescomplemented
120#10623123C2214yescomplemented
121#10623121C2218yescomplemented
122#10623121C2214yescomplemented
123#10623121C2218yescomplemented
124#10623121C2214yescomplemented
125#10623121C2218yescomplemented
126#10623120C2218yescomplemented
127#10623120C2218yescomplemented
128D11×#120C2214yescomplemented
129D11×#120C2218yescomplemented
130D11×#120C2214yescomplemented
131D11×#120C2218yescomplemented
132D11×#120C2212yescomplemented
133#10623117C2212yescomplemented
134#10623096C2214yescomplemented
135#10623093C2214yescomplemented
136#10623091C2218yescomplemented
137#10623089C2214yescomplemented
138D4×D44C2218yescomplemented
139D4×D44C2214yescomplemented
140D4×D44C2214yescomplemented
141#10623078C2214yescomplemented
142C4×D4×D11C2218yescomplemented
143C4×D4×D11C2214yescomplemented
144C4×D4×D11C2214yescomplemented
145#10623071C2218yescomplemented
146#10623066C2212yescomplemented
147#10623061C2214yescomplemented
148#10623056C2212yescomplemented
149#10623055C2211yescharacteristic, complemented
150D11×#117C2212yescomplemented
151D11×#117C2211yescharacteristic, complemented
152#10623045C2214yescomplemented
153C2×#66948C2212yescomplemented
154C2×C4⋊C4×D11C2212yescomplemented
155#10623025C2214yescomplemented
156#10623024C2214yescomplemented
157C2×#66937C2214yescomplemented
158C2×C22⋊C4×D11C2214yescomplemented
159C24×D11C2311yescharacteristic
160C24×D11C2314yes—
161C24×D11C2314yes—
162C2×C11×#41C2311yescharacteristic, complemented
163C22×D4×C11C2312yescomplemented
164C22×D4×C11C2314yescomplemented
165C22×D4×C11C2318yescomplemented
166C22×D4×C11C2312yescomplemented
167C23×C4×C11C2311yescharacteristic, complemented
168C22×C22⋊D11C2314yescomplemented
169C22×C22⋊D11C2314yescomplemented
170C22×C22⋊D11C2318yescomplemented
171C22×C22⋊D11C2314yescomplemented
172C22×C22⋊D11C2318yescomplemented
173C22×C22⋊D11C2314yescomplemented
174C23×Dic11C2311yescharacteristic, complemented
175#41×D11—44no—
176C2×#4343C2311yescharacteristic, complemented
177C2×Q8×D11C2311yescharacteristic
178C2×#4341C2312yescomplemented
179C2×#4341C2311yescharacteristic, complemented
180C2×D4×D11—48no—
181C2×D4×D11—48no—
182C2×D4×D11—416no—
183C2×D4×D11—432no—
184C2×D4×D11C2314yes—
185C2×D4×D11C2318yes—
186C2×D4×D11C2314yes—
187C2×D4×D11C2312yes—
188C2×D4×D11C2318yes—
189C2×D4×D11C2318yes—
190C2×D4×D11C2314yes—
191C2×D4×D11C2318yes—
192C2×D4×D11C2311yescharacteristic
193C2×D4×D11C2314yes—
194C2×D4×D11C2314yescomplemented
195C2×D4×D11C2314yescomplemented
196C2×D4×D11C2314yescomplemented
197C2×D4×D11C2318yescomplemented
198C2×D4×D11C2318yescomplemented
199C2×D4×D11C2318yescomplemented
200C2×D4×D11C2318yescomplemented
201C2×D4×D11C2318yescomplemented
202C2×D4×D11C2318yescomplemented
203C2×D4×D11C2314yescomplemented
204C2×#4339C2311yescharacteristic, complemented
205C2×#4339C2312yescomplemented
206C22×D44C2314yescomplemented
207C22×D44C2312yescomplemented
208C22×D44C2312yescomplemented
209C22×D44C2318yescomplemented
210C22×C4×D11—44no—
211C22×C4×D11C2312yes—
212C22×C4×D11C2312yes—
213C22×C4×D11C2311yescharacteristic
214C22×C4×D11C2312yes—
215C22×C4×D11C2314yes—
216C22×C4×D11C2318yes—
217C22×C4×D11C2311yescharacteristic
218C22×C4×D11C2312yescomplemented
219C22×C4×D11C2312yescomplemented
220C22×C4×D11C2311yescharacteristic, complemented
221C22×C4×D11C2311yescharacteristic, complemented
222C11×#127C2314yescomplemented
223C11×#127C2312yescomplemented
224C11×#126C2318yescomplemented
225C11×#125C2312yescomplemented
226C11×#124C2314yescomplemented
227C11×#123C2312yescomplemented
228C11×#123C2318yescomplemented
229C11×#123C2318yescomplemented
230C11×C22⋊Q8C2312yescomplemented
231C11×#121C2314yescomplemented
232C11×#121C2314yescomplemented
233C11×#121C2314yescomplemented
234C11×#121C2314yescomplemented
235C11×#121C2312yescomplemented
236C11×#121C2318yescomplemented
237C11×#121C2314yescomplemented
238C11×#121C2318yescomplemented
239C11×#121C2318yescomplemented
240C11×#120C2312yescomplemented
241C11×#120C2314yescomplemented
242C11×#120C2318yescomplemented
243C11×#120C2318yescomplemented
244C11×#120C2314yescomplemented
245C4×D4×C11C2318yescomplemented
246C4×D4×C11C2314yescomplemented
247C4×D4×C11C2314yescomplemented
248C11×#117C2311yescharacteristic, complemented
249C11×#117C2312yescomplemented
250C2×C11×C4⋊C4C2312yescomplemented
251C2×C11×C22⋊C4C2314yescomplemented
252#67006C2318yescomplemented
253#67006C2312yescomplemented
254#67006C2318yescomplemented
255#67006C2314yescomplemented
256#67006C2314yescomplemented
257C2×C22⋊Dic11C2314yescomplemented
258#67000C2314yescomplemented
259#66999C2312yescomplemented
260#66993C2314yescomplemented
261#66993C2314yescomplemented
262#66993C2318yescomplemented
263#66993C2318yescomplemented
264#66993C2318yescomplemented
265#66993C2314yescomplemented
266#66992C2318yescomplemented
267#66992C2318yescomplemented
268#66992C2318yescomplemented
269#66992C2318yescomplemented
270#66992C2318yescomplemented
271#66992C2318yescomplemented
272#66992C2318yescomplemented
273#66992C2318yescomplemented
274#66992C2318yescomplemented
275#66992C2318yescomplemented
276#66992C2318yescomplemented
277#66992C2314yescomplemented
278#66991C2314yescomplemented
279#66991C2314yescomplemented
280#66991C2318yescomplemented
281#66991C2318yescomplemented
282#66991C2318yescomplemented
283#66991C2314yescomplemented
284#66991C2314yescomplemented
285#66991C2314yescomplemented
286#66991C2312yescomplemented
287#66990C2318yescomplemented
288#66990C2318yescomplemented
289#66990C2312yescomplemented
290#66990C2314yescomplemented
291#66990C2318yescomplemented
292#66990C2318yescomplemented
293#66990C2318yescomplemented
294#66990C2318yescomplemented
295#66990C2314yescomplemented
296#66990C2318yescomplemented
297#66990C2318yescomplemented
298#66990C2314yescomplemented
299#66989C2314yescomplemented
300#66988C2318yescomplemented
301#66988C2312yescomplemented
302#66988C2318yescomplemented
303D4×Dic11C2314yescomplemented
304D4×Dic11C2314yescomplemented
305D4×Dic11C2318yescomplemented
306#66983C2312yescomplemented
307#66983C2314yescomplemented
308#66983C2318yescomplemented
309#66983C2314yescomplemented
310#66983C2314yescomplemented
311#66983C2314yescomplemented
312#66983C2314yescomplemented
313#66983C2318yescomplemented
314#66983C2318yescomplemented
315#66982C2312yescomplemented
316#66982C2318yescomplemented
317#66982C2318yescomplemented
318C4×C22⋊D11C2318yescomplemented
319C4×C22⋊D11C2314yescomplemented
320C4×C22⋊D11C2314yescomplemented
321C4×C22⋊D11C2318yescomplemented
322C4×C22⋊D11C2318yescomplemented
323C2×(C2×D11)⋊C4C2314yescomplemented
324C2×(C2×D11)⋊C4C2314yescomplemented
325#66979C2311yescharacteristic, complemented
326#66979C2312yescomplemented
327C2×C4⋊Dic11C2312yescomplemented
328#66977C2312yescomplemented
329C2×Dic11⋊C4C2314yescomplemented
330#66951C2318yescomplemented
331#66951C2318yescomplemented
332#66951C2318yescomplemented
333#66950C2312yescomplemented
334#66949C2314yescomplemented
335#66948C2314yescomplemented
336#66948C2318yescomplemented
337#66948C2318yescomplemented
338#66948C2314yescomplemented
339#66948C2318yescomplemented
340#66948C2314yescomplemented
341#66948C2314yescomplemented
342#66948C2314yescomplemented
343#66948C2312yescomplemented
344#66947C2318yescomplemented
345#66947C2318yescomplemented
346#66947C2314yescomplemented
347#66947C2318yescomplemented
348#66947C2318yescomplemented
349#66946C2318yescomplemented
350#66946C2314yescomplemented
351#66946C2314yescomplemented
352#66945C2314yescomplemented
353#66945C2312yescomplemented
354C4⋊C4×D11C2314yes—
355C4⋊C4×D11C2314yes—
356C4⋊C4×D11C2318yes—
357C4⋊C4×D11C2314yes—
358C4⋊C4×D11C2312yes—
359C4⋊C4×D11C2314yescomplemented
360C4⋊C4×D11C2314yescomplemented
361#66943C2314yescomplemented
362#66942C2318yescomplemented
363#66939C2318yescomplemented
364#66939C2318yescomplemented
365#66939C2312yescomplemented
366#66938C2318yescomplemented
367#66938C2318yescomplemented
368#66937C2318yescomplemented
369#66937C2318yescomplemented
370#66937C2318yescomplemented
371#66937C2318yescomplemented
372#66937C2318yescomplemented
373#66937C2318yescomplemented
374#66937C2318yescomplemented
375#66937C2318yescomplemented
376#66937C2318yescomplemented
377#66937C2318yescomplemented
378#66937C2318yescomplemented
379#66937C2314yescomplemented
380#66936C2318yescomplemented
381#66936C2318yescomplemented
382#66936C2318yescomplemented
383#66936C2314yescomplemented
384#66936C2318yescomplemented
385#66935C2318yescomplemented
386#66935C2318yescomplemented
387#66935C2318yescomplemented
388#66935C2318yescomplemented
389#66935C2318yescomplemented
390#66935C2318yescomplemented
391#66935C2312yescomplemented
392#66935C2314yescomplemented
393#66935C2314yescomplemented
394#66935C2314yescomplemented
395#66935C2318yescomplemented
396#66935C2318yescomplemented
397(C22⋊D11)⋊C4C2318yescomplemented
398(C22⋊D11)⋊C4C2318yescomplemented
399(C22⋊D11)⋊C4C2314yescomplemented
400(C22⋊D11)⋊C4C2318yescomplemented
401(C22⋊D11)⋊C4C2314yescomplemented
402C22⋊C4×D11C2318yes—
403C22⋊C4×D11C2318yes—
404C22⋊C4×D11C2318yes—
405C22⋊C4×D11C2318yes—
406C22⋊C4×D11C2314yes—
407C22⋊C4×D11C2312yes—
408C22⋊C4×D11C2314yes—
409C22⋊C4×D11C2314yes—
410C22⋊C4×D11C2318yescomplemented
411C22⋊C4×D11C2318yescomplemented
412#66932C2318yescomplemented
413#66932C2318yescomplemented
414#66932C2318yescomplemented
415#66931C2314yescomplemented
416#66930C2312yescomplemented
417#66930C2314yescomplemented
418#66929C2318yescomplemented
419#66928C2314yescomplemented
420#66927C2314yescomplemented
421#66927C2312yescomplemented
422C4×D44C2318yescomplemented
423C4×D44C2314yescomplemented
424C4×D44C2314yescomplemented
425#66925C2314yescomplemented
426#66925C2312yescomplemented
427C42×D11C2314yes—
428C42×D11C2312yes—
429#66923C2312yescomplemented
430C2×#3537—111nomaximal, Sylow
431C24×C11C2411yescharacteristic
432C24×C11C2414yes—
433C24×C11C2414yes—
434C23×D11—28no—
435C23×D11—216no—
436C23×D11—42no—
437C23×D11—48no—
438C23×D11—48no—
439C23×D11—48no—
440C23×D11—416no—
441C23×D11C2412yes—
442C23×D11C2418yes—
443C23×D11C2411yescharacteristic
444C23×D11C2412yes—
445C23×D11C2411yescharacteristic
446C23×D11C2412yes—
447C23×D11C2418yes—
448C23×D11C2414yes—
449C23×D11C2418yes—
450C23×D11C2414yes—
451C11×#41—42no—
452C2×Q8×C11C2411yescharacteristic
453C2×D4×C11—44no—
454C2×D4×C11—44no—
455C2×D4×C11—48no—
456C2×D4×C11—416no—
457C2×D4×C11C2414yes—
458C2×D4×C11C2418yes—
459C2×D4×C11C2414yes—
460C2×D4×C11C2412yes—
461C2×D4×C11C2418yes—
462C2×D4×C11C2418yes—
463C2×D4×C11C2414yes—
464C2×D4×C11C2411yescharacteristic
465C2×D4×C11C2414yes—
466C2×D4×C11C2418yes—
467C22×C4×C11—42no—
468C22×C4×C11C2412yes—
469C22×C4×C11C2412yes—
470C22×C4×C11C2411yescharacteristic
471C22×C4×C11C2414yes—
472C22×C4×C11C2412yes—
473C22×C4×C11C2418yes—
474C22×C4×C11C2411yescharacteristic
475C2×C22⋊D11—48no—
476C2×C22⋊D11—416no—
477C2×C22⋊D11—48no—
478C2×C22⋊D11—416no—
479C2×C22⋊D11—48no—
480C2×C22⋊D11—48no—
481C2×C22⋊D11C2414yes—
482C2×C22⋊D11C2418yes—
483C2×C22⋊D11C2418yes—
484C2×C22⋊D11C2414yes—
485C2×C22⋊D11C2418yes—
486C2×C22⋊D11C2412yes—
487C2×C22⋊D11C2412yes—
488C2×C22⋊D11C2418yes—
489C2×C22⋊D11C2418yes—
490C2×C22⋊D11C2418yes—
491C2×C22⋊D11C2418yes—
492C2×C22⋊D11C2418yes—
493C2×C22⋊D11C2418yes—
494C2×C22⋊D11C2418yes—
495C2×C22⋊D11C2412yes—
496C2×C22⋊D11C2418yes—
497C22×Dic11—42no—
498C22×Dic11C2412yes—
499C22×Dic11C2411yescharacteristic
500C22×Dic11C2412yes—
501C22×Dic11C2412yes—
502C22×Dic11C2418yes—
503C22×Dic11C2414yes—
504C22×Dic11C2411yescharacteristic
505#4343—42no—
506Q8×D11—42no—
507#4341—42no—
508#4341—44no—
509D4×D11—216no—
510D4×D11—232no—
511D4×D11—216no—
512D4×D11—416no—
513D4×D11—416no—
514D4×D11—416no—
515D4×D11—48no—
516D4×D11—48no—
517D4×D11—416no—
518D4×D11—416no—
519D4×D11—48no—
520D4×D11—48no—
521D4×D11—416no—
522D4×D11—44no—
523D4×D11—42no—
524D4×D11—416no—
525D4×D11—416no—
526D4×D11—416no—
527D4×D11—48no—
528D4×D11—48no—
529#4339—42no—
530#4339—44no—
531C2×D44—44no—
532C2×D44—44no—
533C2×D44—48no—
534C2×D44—416no—
535C2×D44C2414yes—
536C2×D44C2418yes—
537C2×D44C2414yes—
538C2×D44C2412yes—
539C2×D44C2414yes—
540C2×D44C2418yes—
541C2×D44C2418yes—
542C2×D44C2418yes—
543C2×D44C2411yescharacteristic
544C2×D44C2414yes—
545C2×C4×D11—28no—
546C2×C4×D11—24no—
547C2×C4×D11—28no—
548C2×C4×D11—44no—
549C2×C4×D11—42no—
550C2×C4×D11—44no—
551C2×C4×D11—42no—
552C2×C4×D11—48no—
553C2×C4×D11—416no—
554C2×C4×D11—42no—
555C2×C4×D11—44no—
556C2×C4×D11C2412yes—
557C2×C4×D11C2418yes—
558C2×C4×D11C2414yes—
559C2×C4×D11C2412yes—
560C2×C4×D11C2411yescharacteristic
561C2×C4×D11C2412yes—
562C2×C4×D11C2412yes—
563C2×C4×D11C2411yescharacteristic
564C2×C4×D11C2412yes—
565C2×C4×D11C2412yes—
566C2×C4×D11C2411yescharacteristic
567C2×C4×D11C2418yes—
568C2×C4×D11C2418yes—
569C2×C4×D11C2418yes—
570C2×C4×D11C2412yes—
571C2×C4×D11C2412yes—
572C2×C4×D11C2412yes—
573C2×C4×D11C2411yescharacteristic
574C2×Dic22C2412yes—
575C2×Dic22C2411yescharacteristic
576C11×C4⋊C4C2418yes—
577C11×C4⋊C4C2414yes—
578C11×C4⋊C4C2414yes—
579C11×C4⋊C4C2412yes—
580C11×C4⋊C4C2414yes—
581C11×C22⋊C4C2414yes—
582C11×C22⋊C4C2412yes—
583C11×C22⋊C4C2414yes—
584C11×C22⋊C4C2418yes—
585C11×C22⋊C4C2418yes—
586C11×C22⋊C4C2418yes—
587C11×C22⋊C4C2418yes—
588C11×C22⋊C4C2414yes—
589C42×C11C2412yes—
590C42×C11C2414yes—
591C22⋊Dic11C2414yes—
592C22⋊Dic11C2412yes—
593C22⋊Dic11C2414yes—
594C22⋊Dic11C2418yes—
595C22⋊Dic11C2418yes—
596C22⋊Dic11C2418yes—
597C22⋊Dic11C2418yes—
598C22⋊Dic11C2414yes—
599(C2×D11)⋊C4C2418yes—
600(C2×D11)⋊C4C2414yes—
601(C2×D11)⋊C4C2414yes—
602(C2×D11)⋊C4C2418yes—
603(C2×D11)⋊C4C2414yes—
604(C2×D11)⋊C4C2418yes—
605(C2×D11)⋊C4C2414yes—
606(C2×D11)⋊C4C2418yes—
607(C2×D11)⋊C4C2418yes—
608(C2×D11)⋊C4C2418yes—
609(C2×D11)⋊C4C2418yes—
610(C2×D11)⋊C4C2418yes—
611(C2×D11)⋊C4C2418yes—
612(C2×D11)⋊C4C2414yes—
613C4⋊Dic11C2414yes—
614C4⋊Dic11C2414yes—
615C4⋊Dic11C2418yes—
616C4⋊Dic11C2414yes—
617C4⋊Dic11C2412yes—
618Dic11⋊C4C2418yes—
619Dic11⋊C4C2414yes—
620Dic11⋊C4C2418yes—
621Dic11⋊C4C2414yes—
622Dic11⋊C4C2418yes—
623Dic11⋊C4C2418yes—
624Dic11⋊C4C2414yes—
625C4×Dic11C2414yes—
626C4×Dic11C2412yes—
627C4×Dic11C2418yes—
628C4×Dic11C2414yes—
629#3537—114no—
630#3537—114no—
631#3537—114no—
632#3537—114no—
633#3537—112no—
634#3537—114no—
635#3537—112no—
636#3537—114no—
637#3537—111no—
638#3537—112no—
639#3537D1111yescharacteristic, direct product factor
640C2×#560—114no—
641C2×#553—114no—
642C2×D42—114no—
643C2×D42—114no—
644C2×#540—112no—
645C2×#538—114no—
646C2×#535—112no—
647C2×#534—114no—
648C2×#525—111no—
649C22×#121—112no—
650C23×C11—24no—
651C23×C11—28no—
652C23×C11—41no—
653C23×C11—44no—
654C23×C11—44no—
655C23×C11—44no—
656C23×C11—48no—
657C23×C11C2512yes—
658C23×C11C2518yes—
659C23×C11C2511yescharacteristic
660C23×C11C2512yes—
661C22×D11—24no—
662C22×D11—24no—
663C22×D11—24no—
664C22×D11—28no—
665C22×D11—22no—
666C22×D11—24no—
667C22×D11—216no—
668C22×D11—24no—
669C22×D11—216no—
670C22×D11—28no—
671C22×D11—216no—
672C22×D11—24no—
673C22×D11—24no—
674C22×D11—216no—
675C22×D11—41no—
676C22×D11—42no—
677C22×D11—416no—
678C22×D11—44no—
679C22×D11—44no—
680C22×D11—44no—
681C22×D11—48no—
682C22×D11—48no—
683C22×D11—48no—
684C22×D11—48no—
685C22×D11—48no—
686C22×D11—48no—
687C22×D11—832no—
688C22×D11—832no—
689C22×D11H(5,𝔽2)18yes—
690C22×D11C2518yes—
691C22×D11C2512yes—
692C22×D11C2511yescharacteristic
693C22×D11C2512yes—
694C22×D11C2511yescharacteristic
695Q8×C11—41no—
696D4×C11—216no—
697D4×C11—28no—
698D4×C11—28no—
699D4×C11—44no—
700D4×C11—44no—
701D4×C11—48no—
702D4×C11—48no—
703D4×C11—48no—
704D4×C11—41no—
705D4×C11—42no—
706C2×C4×C11—24no—
707C2×C4×C11—22no—
708C2×C4×C11—24no—
709C2×C4×C11—41no—
710C2×C4×C11—42no—
711C2×C4×C11—44no—
712C2×C4×C11—48no—
713C2×C4×C11C2512yes—
714C2×C4×C11C2518yes—
715C2×C4×C11C2514yes—
716C2×C4×C11C2512yes—
717C2×C4×C11C2511yescharacteristic
718C2×C4×C11C2511yescharacteristic
719C22⋊D11—216no—
720C22⋊D11—28no—
721C22⋊D11—216no—
722C22⋊D11—28no—
723C22⋊D11—216no—
724C22⋊D11—42no—
725C22⋊D11—42no—
726C22⋊D11—42no—
727C22⋊D11—48no—
728C22⋊D11—48no—
729C22⋊D11—48no—
730C22⋊D11—48no—
731C22⋊D11—48no—
732C22⋊D11—48no—
733C22⋊D11—48no—
734C22⋊D11—48no—
735C2×Dic11—22no—
736C2×Dic11—24no—
737C2×Dic11—24no—
738C2×Dic11—42no—
739C2×Dic11—41no—
740C2×Dic11—44no—
741C2×Dic11—48no—
742C2×Dic11C2512yes—
743C2×Dic11C2518yes—
744C2×Dic11C2514yes—
745C2×Dic11C2512yes—
746C2×Dic11C2511yescharacteristic
747C2×Dic11C2511yescharacteristic
748D44—216no—
749D44—28no—
750D44—28no—
751D44—44no—
752D44—44no—
753D44—48no—
754D44—48no—
755D44—48no—
756D44—41no—
757D44—42no—
758C4×D11—24no—
759C4×D11—22no—
760C4×D11—24no—
761C4×D11—216no—
762C4×D11—28no—
763C4×D11—22no—
764C4×D11—24no—
765C4×D11—24no—
766C4×D11—24no—
767C4×D11—22no—
768C4×D11—24no—
769C4×D11—42no—
770C4×D11—42no—
771C4×D11—42no—
772C4×D11—48no—
773C4×D11—48no—
774C4×D11—48no—
775C4×D11H(5,𝔽2)14yes—
776Dic22—42no—
777Dic22—41no—
778C22×#41—111no—
779C23×D4—112no—
780C23×D4—114no—
781C23×D4—118no—
782C23×D4—112no—
783C24×C4—111no—
784#560—114no—
785#560—118no—
786#560—118no—
787#560—114no—
788#560—118no—
789#560—118no—
790#560—118no—
791#560—114no—
792#560—118no—
793#560C2×D1114yescomplemented
794#553—118no—
795#553—114no—
796#553—118no—
797#553—118no—
798#553—114no—
799#553—114no—
800#553—118no—
801#553—114no—
802#553—114no—
803#553—114no—
804#553—114no—
805#553C2×D1114yescomplemented
806D42—118no—
807D42—118no—
808D42—118no—
809D42—114no—
810D42—114no—
811D42—114no—
812D42—114no—
813D42—114no—
814D42—114no—
815D42—118no—
816D42—118no—
817D42—118no—
818D42—118no—
819D42—118no—
820D42—114no—
821D42—114no—
822D42—118no—
823D42—114no—
824D42—118no—
825D42—114no—
826D42C2×D1114yescomplemented
827D42C2×D1114yescomplemented
828#540—112no—
829#540—112no—
830#540—118no—
831#540—118no—
832#540—114no—
833#540—114no—
834#540—112no—
835#540C2×D1112yescomplemented
836#538—118no—
837#538—118no—
838#538—118no—
839#538—114no—
840#538—118no—
841#538—114no—
842#538—118no—
843#538—118no—
844#538—114no—
845#538C2×D1114yescomplemented
846#535—112no—
847#535—112no—
848#535—114no—
849#535—114no—
850#535—114no—
851#535—114no—
852#535—114no—
853#535—114no—
854#535—112no—
855#535C2×D1112yescomplemented
856#534—118no—
857#534—118no—
858#534—118no—
859#534—114no—
860#534—118no—
861#534—114no—
862#534—118no—
863#534—118no—
864#534—114no—
865#534C2×D1114yescomplemented
866C2×#127—114no—
867C2×#127—112no—
868C2×#126—118no—
869C2×#125—112no—
870C2×#124—114no—
871#525—111no—
872#525—111no—
873#525—112no—
874#525—112no—
875#525—112no—
876#525—112no—
877#525—114no—
878#525—111no—
879#525C2×D1111yescharacteristic, complemented
880C2×#123—112no—
881C2×#123—118no—
882C2×#123—118no—
883C2×C22⋊Q8—112no—
884C2×#121—112no—
885C2×#121—114no—
886C2×#121—112no—
887C2×#121—114no—
888C2×#121—114no—
889C2×#121—114no—
890C2×#121—114no—
891C2×#121—114no—
892C2×#121—114no—
893C2×#121—114no—
894C2×#121—114no—
895C2×#121—112no—
896C2×#121—118no—
897C2×#121—114no—
898C2×#121—118no—
899C2×#121—118no—
900C2×#121—112no—
901C2×#121—114no—
902C2×#121C2×D1112yescomplemented
903C2×#120—112no—
904C2×#120—114no—
905C2×#120—118no—
906C2×#120—114no—
907C2×#120—118no—
908C2×C4×D4—114no—
909C2×C4×D4—118no—
910C2×C4×D4—114no—
911C2×#117—111no—
912C2×#117—112no—
913C22×C4⋊C4—112no—
914C22×C22⋊C4—114no—
915C22×C11—22no—
916C22×C11—22no—
917C22×C11—21no—
918C22×C11—22no—
919C22×C11—28no—
920C22×C11—28no—
921C22×C11—24no—
922C22×C11—28no—
923C22×C11—22no—
924C22×C11—44no—
925C22×C11—88no—
926C22×C11—88no—
927C22×C11C2×H(5,𝔽2)14yes—
928C22×C11C2611yescharacteristic
929C2×D11—22no—
930C2×D11—22no—
931C2×D11—216no—
932C2×D11—28no—
933C2×D11—22no—
934C2×D11—22no—
935C2×D11—28no—
936C2×D11—24no—
937C2×D11—28no—
938C2×D11—21no—
939C2×D11—44no—
940C2×D11—48no—
941C2×D11—44no—
942C2×D11—48no—
943C2×D11—432no—
944C2×D11—816no—
945C2×D11—88no—
946C2×D11—88no—
947C2×D11—816no—
948C2×D11C2×H(5,𝔽2)14yes—
949C2×D11C2×H(5,𝔽2)12yes—
950C2×D11C2×H(5,𝔽2)14yes—
951C4×C11—22no—
952C4×C11—21no—
953C4×C11—22no—
954C4×C11—28no—
955C4×C11—24no—
956C4×C11C2×H(5,𝔽2)12yes—
957Dic11—21no—
958Dic11—22no—
959Dic11—22no—
960Dic11—28no—
961Dic11—24no—
962Dic11C2×H(5,𝔽2)12yes—
963C25—111no—
964C25—114no—
965C25—114no—
966C2×#41—111no—
967C2×#41—111no—
968C2×#41—112no—
969C2×#41—111no—
970C2×#41—112no—
971C2×#41—444no—
972C2×#41C22×D1111yescharacteristic, complemented
973C22×Q8—111no—
974C22×D4—114no—
975C22×D4—114no—
976C22×D4—114no—
977C22×D4—118no—
978C22×D4—118no—
979C22×D4—114no—
980C22×D4—114no—
981C22×D4—118no—
982C22×D4—114no—
983C22×D4—111no—
984C22×D4—112no—
985C22×D4—114no—
986C22×D4—118no—
987C22×D4—118no—
988C22×D4—114no—
989C22×D4—118no—
990C22×D4—114no—
991C22×D4—114no—
992C22×D4—118no—
993C22×D4—118no—
994C22×D4—118no—
995C22×D4—118no—
996C22×D4—118no—
997C22×D4—118no—
998C22×D4—114no—
999C22×D4—114no—
1000C22×D4—112no—
1001C22×D4—114no—
1002C22×D4—118no—
1003C22×D4—112no—
1004C22×D4—448no—
1005C22×D4—448no—
1006C22×D4—4416no—
1007C22×D4—4432no—
1008C22×D4C22×D1112yescomplemented
1009C22×D4C22×D1114yescomplemented
1010C22×D4C22×D1118yescomplemented
1011C22×D4C22×D1112yescomplemented
1012C23×C4—111no—
1013C23×C4—112no—
1014C23×C4—112no—
1015C23×C4—111no—
1016C23×C4—112no—
1017C23×C4—114no—
1018C23×C4—118no—
1019C23×C4—111no—
1020C23×C4—112no—
1021C23×C4—111no—
1022C23×C4—112no—
1023C23×C4—111no—
1024C23×C4—444no—
1025C23×C4C22×D1111yescharacteristic, complemented
1026#127—118no—
1027#127—118no—
1028#127—114no—
1029#127—114no—
1030#127—118no—
1031#127—114no—
1032#127—114no—
1033#127—112no—
1034#127C22×D1114yescomplemented
1035#127C22×D1112yescomplemented
1036#126—118no—
1037#126—118no—
1038#126—118no—
1039#126—118no—
1040#126—118no—
1041#126—118no—
1042#126—118no—
1043#126C22×D1118yescomplemented
1044#125—118no—
1045#125—114no—
1046#125—112no—
1047#125C22×D1112yescomplemented
1048#124—114no—
1049#124—114no—
1050#124—118no—
1051#124—118no—
1052#124—114no—
1053#124C22×D1114yescomplemented
1054#123—112no—
1055#123—118no—
1056#123—118no—
1057#123—112no—
1058#123—118no—
1059#123—118no—
1060#123—114no—
1061#123—118no—
1062#123—118no—
1063#123—118no—
1064#123—118no—
1065#123—114no—
1066#123—112no—
1067#123—118no—
1068#123—118no—
1069#123—118no—
1070#123—118no—
1071#123—118no—
1072#123—118no—
1073#123C22×D1112yescomplemented
1074#123C22×D1118yescomplemented
1075#123C22×D1118yescomplemented
1076C22⋊Q8—112no—
1077C22⋊Q8—112no—
1078C22⋊Q8—114no—
1079C22⋊Q8—112no—
1080C22⋊Q8—114no—
1081C22⋊Q8C22×D1112yescomplemented
1082#121—114no—
1083#121—118no—
1084#121—114no—
1085#121—118no—
1086#121—114no—
1087#121—118no—
1088#121—114no—
1089#121—118no—
1090#121—112no—
1091#121—114no—
1092#121—118no—
1093#121—118no—
1094#121—118no—
1095#121—114no—
1096#121—118no—
1097#121—118no—
1098#121—118no—
1099#121—118no—
1100#121—118no—
1101#121—118no—
1102#121—118no—
1103#121—114no—
1104#121—114no—
1105#121—114no—
1106#121—114no—
1107#121—112no—
1108#121—118no—
1109#121—114no—
1110#121—118no—
1111#121—118no—
1112#121—114no—
1113#121—114no—
1114#121—114no—
1115#121—114no—
1116#121—112no—
1117#121—118no—
1118#121—114no—
1119#121—118no—
1120#121—118no—
1121#121—118no—
1122#121—118no—
1123#121—118no—
1124#121—118no—
1125#121—114no—
1126#121—118no—
1127#121—118no—
1128#121—118no—
1129#121—118no—
1130#121—118no—
1131#121—118no—
1132#121—118no—
1133#121C22×D1114yescomplemented
1134#121C22×D1114yescomplemented
1135#121C22×D1114yescomplemented
1136#121C22×D1114yescomplemented
1137#121C22×D1112yescomplemented
1138#121C22×D1118yescomplemented
1139#121C22×D1114yescomplemented
1140#121C22×D1118yescomplemented
1141#121C22×D1118yescomplemented
1142#120—112no—
1143#120—114no—
1144#120—118no—
1145#120—114no—
1146#120—118no—
1147#120—112no—
1148#120—114no—
1149#120—118no—
1150#120—114no—
1151#120—118no—
1152#120—118no—
1153#120—118no—
1154#120—114no—
1155#120—118no—
1156#120—118no—
1157#120—118no—
1158#120—118no—
1159#120—114no—
1160#120—112no—
1161#120—114no—
1162#120—118no—
1163#120—118no—
1164#120—118no—
1165#120—118no—
1166#120—118no—
1167#120—114no—
1168#120—118no—
1169#120—118no—
1170#120—118no—
1171#120C22×D1112yescomplemented
1172#120C22×D1114yescomplemented
1173#120C22×D1118yescomplemented
1174#120C22×D1114yescomplemented
1175#120C22×D1118yescomplemented
1176C4×D4—114no—
1177C4×D4—118no—
1178C4×D4—114no—
1179C4×D4—114no—
1180C4×D4—114no—
1181C4×D4—118no—
1182C4×D4—118no—
1183C4×D4—118no—
1184C4×D4—114no—
1185C4×D4—118no—
1186C4×D4—114no—
1187C4×D4—114no—
1188C4×D4—114no—
1189C4×D4—118no—
1190C4×D4—118no—
1191C4×D4—118no—
1192C4×D4—114no—
1193C4×D4—118no—
1194C4×D4—114no—
1195C4×D4C22×D1114yescomplemented
1196C4×D4C22×D1118yescomplemented
1197C4×D4C22×D1114yescomplemented
1198#117—111no—
1199#117—112no—
1200#117—112no—
1201#117—114no—
1202#117—112no—
1203#117—114no—
1204#117—112no—
1205#117—114no—
1206#117C22×D1111yescharacteristic, complemented
1207#117C22×D1112yescomplemented
1208C2×C4⋊C4—114no—
1209C2×C4⋊C4—112no—
1210C2×C4⋊C4—114no—
1211C2×C4⋊C4—114no—
1212C2×C4⋊C4—114no—
1213C2×C4⋊C4—114no—
1214C2×C4⋊C4—112no—
1215C2×C4⋊C4—114no—
1216C2×C4⋊C4—118no—
1217C2×C4⋊C4C22×D1112yescomplemented
1218C2×C22⋊C4—114no—
1219C2×C22⋊C4—114no—
1220C2×C22⋊C4—114no—
1221C2×C22⋊C4—118no—
1222C2×C22⋊C4—118no—
1223C2×C22⋊C4—118no—
1224C2×C22⋊C4—118no—
1225C2×C22⋊C4—114no—
1226C2×C22⋊C4—112no—
1227C2×C22⋊C4—114no—
1228C2×C22⋊C4—118no—
1229C2×C22⋊C4—118no—
1230C2×C22⋊C4—114no—
1231C2×C22⋊C4C22×D1114yescomplemented
1232C2×C42—112no—
1233C2×C42—114no—
1234C2×C11—24no—
1235C2×C11—41no—
1236C2×C11—48no—
1237C2×C11—42no—
1238C2×C11C22×H(5,𝔽2)12yes—
1239C2×C11C22×H(5,𝔽2)11yescharacteristic
1240D11—24no—
1241D11—41no—
1242D11—48no—
1243D11—42no—
1244D11#353714yesdirect product factor
1245C24—112no—
1246C24—112no—
1247C24—118no—
1248C24—111no—
1249C24—111no—
1250C24—112no—
1251C24—118no—
1252C24—114no—
1253C24—118no—
1254C24—114no—
1255C24—228no—
1256C24—2216no—
1257C24—442no—
1258C24—448no—
1259C24—448no—
1260C24—448no—
1261C24—4416no—
1262C24C23×D1111yescharacteristic
1263C24C23×D1114yes—
1264C24C23×D1114yes—
1265#41—42no—
1266#41—442no—
1267#41—444no—
1268#41—442no—
1269#41—444no—
1270#41—442no—
1271C2×Q8—111no—
1272C2×Q8—112no—
1273C2×Q8—442no—
1274C2×Q8C23×D1111yescharacteristic
1275C2×D4—44no—
1276C2×D4—44no—
1277C2×D4—48no—
1278C2×D4—416no—
1279C2×D4—114no—
1280C2×D4—118no—
1281C2×D4—114no—
1282C2×D4—118no—
1283C2×D4—118no—
1284C2×D4—112no—
1285C2×D4—112no—
1286C2×D4—112no—
1287C2×D4—118no—
1288C2×D4—118no—
1289C2×D4—118no—
1290C2×D4—118no—
1291C2×D4—118no—
1292C2×D4—118no—
1293C2×D4—118no—
1294C2×D4—118no—
1295C2×D4—114no—
1296C2×D4—118no—
1297C2×D4—114no—
1298C2×D4—111no—
1299C2×D4—112no—
1300C2×D4—114no—
1301C2×D4—118no—
1302C2×D4—118no—
1303C2×D4—114no—
1304C2×D4—118no—
1305C2×D4—2216no—
1306C2×D4—2216no—
1307C2×D4—2232no—
1308C2×D4—444no—
1309C2×D4—444no—
1310C2×D4—448no—
1311C2×D4—4416no—
1312C2×D4—448no—
1313C2×D4—448no—
1314C2×D4—448no—
1315C2×D4—448no—
1316C2×D4—448no—
1317C2×D4—448no—
1318C2×D4—4416no—
1319C2×D4—4416no—
1320C2×D4—4416no—
1321C2×D4—442no—
1322C2×D4—444no—
1323C2×D4—448no—
1324C2×D4—448no—
1325C2×D4—4416no—
1326C2×D4—4416no—
1327C2×D4—4416no—
1328C2×D4—4416no—
1329C2×D4—4416no—
1330C2×D4—4416no—
1331C2×D4—448no—
1332C2×D4—4416no—
1333C2×D4—448no—
1334C2×D4—4416no—
1335C2×D4C23×D1114yes—
1336C2×D4C23×D1118yes—
1337C2×D4C23×D1114yes—
1338C2×D4C23×D1111yescharacteristic
1339C2×D4C23×D1112yes—
1340C2×D4C23×D1114yes—
1341C2×D4C23×D1118yes—
1342C2×D4C23×D1118yes—
1343C2×D4C23×D1114yes—
1344C2×D4C23×D1118yes—
1345C22×C4—42no—
1346C22×C4—111no—
1347C22×C4—112no—
1348C22×C4—112no—
1349C22×C4—111no—
1350C22×C4—112no—
1351C22×C4—114no—
1352C22×C4—118no—
1353C22×C4—111no—
1354C22×C4—112no—
1355C22×C4—114no—
1356C22×C4—118no—
1357C22×C4—111no—
1358C22×C4—112no—
1359C22×C4—112no—
1360C22×C4—112no—
1361C22×C4—112no—
1362C22×C4—112no—
1363C22×C4—111no—
1364C22×C4—111no—
1365C22×C4—112no—
1366C22×C4—112no—
1367C22×C4—118no—
1368C22×C4—118no—
1369C22×C4—118no—
1370C22×C4—112no—
1371C22×C4—228no—
1372C22×C4—224no—
1373C22×C4—228no—
1374C22×C4—444no—
1375C22×C4—442no—
1376C22×C4—442no—
1377C22×C4—444no—
1378C22×C4—442no—
1379C22×C4—444no—
1380C22×C4—448no—
1381C22×C4—4416no—
1382C22×C4—442no—
1383C22×C4C23×D1112yes—
1384C22×C4C23×D1112yes—
1385C22×C4C23×D1111yescharacteristic
1386C22×C4C23×D1112yes—
1387C22×C4C23×D1114yes—
1388C22×C4C23×D1118yes—
1389C22×C4C23×D1111yescharacteristic
1390C4⋊C4—118no—
1391C4⋊C4—114no—
1392C4⋊C4—118no—
1393C4⋊C4—114no—
1394C4⋊C4—114no—
1395C4⋊C4—112no—
1396C4⋊C4—114no—
1397C4⋊C4—114no—
1398C4⋊C4—114no—
1399C4⋊C4—118no—
1400C4⋊C4—118no—
1401C4⋊C4—118no—
1402C4⋊C4C23×D1114yes—
1403C4⋊C4C23×D1114yes—
1404C4⋊C4C23×D1112yes—
1405C4⋊C4C23×D1114yes—
1406C4⋊C4C23×D1118yes—
1407C22⋊C4—118no—
1408C22⋊C4—118no—
1409C22⋊C4—114no—
1410C22⋊C4—112no—
1411C22⋊C4—114no—
1412C22⋊C4—118no—
1413C22⋊C4—118no—
1414C22⋊C4—114no—
1415C22⋊C4—118no—
1416C22⋊C4—118no—
1417C22⋊C4—118no—
1418C22⋊C4—118no—
1419C22⋊C4—118no—
1420C22⋊C4—114no—
1421C22⋊C4—114no—
1422C22⋊C4—114no—
1423C22⋊C4—118no—
1424C22⋊C4—118no—
1425C22⋊C4—118no—
1426C22⋊C4—118no—
1427C22⋊C4—114no—
1428C22⋊C4—114no—
1429C22⋊C4C23×D1118yes—
1430C22⋊C4C23×D1118yes—
1431C22⋊C4C23×D1114yes—
1432C22⋊C4C23×D1112yes—
1433C22⋊C4C23×D1114yes—
1434C22⋊C4C23×D1118yes—
1435C22⋊C4C23×D1118yes—
1436C22⋊C4C23×D1114yes—
1437C42—114no—
1438C42—112no—
1439C42—118no—
1440C42—114no—
1441C42C23×D1112yes—
1442C42C23×D1114yes—
1443C11C2×#353711yescharacteristic, complemented, Sylow
1444C23—24no—
1445C23—28no—
1446C23—41no—
1447C23—44no—
1448C23—44no—
1449C23—44no—
1450C23—48no—
1451C23—111no—
1452C23—118no—
1453C23—112no—
1454C23—112no—
1455C23—118no—
1456C23—111no—
1457C23—224no—
1458C23—224no—
1459C23—222no—
1460C23—224no—
1461C23—2216no—
1462C23—2216no—
1463C23—228no—
1464C23—2216no—
1465C23—224no—
1466C23—224no—
1467C23—224no—
1468C23—2216no—
1469C23—224no—
1470C23—228no—
1471C23—442no—
1472C23—441no—
1473C23—444no—
1474C23—444no—
1475C23—444no—
1476C23—448no—
1477C23—448no—
1478C23—448no—
1479C23—448no—
1480C23—448no—
1481C23—448no—
1482C23—4416no—
1483C23—8832no—
1484C23—8832no—
1485C23C24×D1112yes—
1486C23C24×D1118yes—
1487C23C24×D1111yescharacteristic
1488C23C24×D1112yes—
1489Q8—41no—
1490Q8—441no—
1491Q8—442no—
1492D4—216no—
1493D4—28no—
1494D4—28no—
1495D4—44no—
1496D4—44no—
1497D4—48no—
1498D4—48no—
1499D4—48no—
1500D4—41no—
1501D4—42no—
1502D4—228no—
1503D4—2216no—
1504D4—2216no—
1505D4—228no—
1506D4—2216no—
1507D4—228no—
1508D4—2216no—
1509D4—228no—
1510D4—444no—
1511D4—444no—
1512D4—448no—
1513D4—448no—
1514D4—448no—
1515D4—441no—
1516D4—442no—
1517D4—448no—
1518D4—448no—
1519D4—448no—
1520D4—448no—
1521D4—448no—
1522D4—448no—
1523D4—448no—
1524D4—448no—
1525D4—442no—
1526D4—442no—
1527D4—442no—
1528C2×C4—24no—
1529C2×C4—22no—
1530C2×C4—24no—
1531C2×C4—41no—
1532C2×C4—42no—
1533C2×C4—44no—
1534C2×C4—48no—
1535C2×C4—111no—
1536C2×C4—114no—
1537C2×C4—112no—
1538C2×C4—114no—
1539C2×C4—118no—
1540C2×C4—111no—
1541C2×C4—112no—
1542C2×C4—224no—
1543C2×C4—222no—
1544C2×C4—224no—
1545C2×C4—224no—
1546C2×C4—222no—
1547C2×C4—224no—
1548C2×C4—228no—
1549C2×C4—2216no—
1550C2×C4—224no—
1551C2×C4—222no—
1552C2×C4—224no—
1553C2×C4—224no—
1554C2×C4—222no—
1555C2×C4—224no—
1556C2×C4—442no—
1557C2×C4—442no—
1558C2×C4—442no—
1559C2×C4—448no—
1560C2×C4—448no—
1561C2×C4—448no—
1562C2×C4—441no—
1563C2×C4—442no—
1564C2×C4—444no—
1565C2×C4—448no—
1566C2×C4C24×D1112yes—
1567C2×C4C24×D1114yes—
1568C2×C4C24×D1118yes—
1569C2×C4C24×D1111yescharacteristic
1570C2×C4C24×D1112yes—
1571C2×C4C24×D1111yescharacteristic
1572C22—22no—
1573C22—22no—
1574C22—21no—
1575C22—22no—
1576C22—28no—
1577C22—24no—
1578C22—28no—
1579C22—28no—
1580C22—22no—
1581C22—44no—
1582C22—88no—
1583C22—88no—
1584C22—112no—
1585C22—114no—
1586C22—114no—
1587C22—2216no—
1588C22—222no—
1589C22—222no—
1590C22—221no—
1591C22—222no—
1592C22—228no—
1593C22—224no—
1594C22—228no—
1595C22—228no—
1596C22—222no—
1597C22—448no—
1598C22—444no—
1599C22—448no—
1600C22—4432no—
1601C22—444no—
1602C22—888no—
1603C22—8816no—
1604C22—888no—
1605C22—8816no—
1606C22D11×H(5,𝔽2)14yes—
1607C22C25×D1111yescharacteristic
1608C4—22no—
1609C4—21no—
1610C4—22no—
1611C4—28no—
1612C4—24no—
1613C4—112no—
1614C4—222no—
1615C4—221no—
1616C4—222no—
1617C4—224no—
1618C4—228no—
1619C4D11×H(5,𝔽2)12yes—
1620C2—24no—
1621C2—41no—
1622C2—42no—
1623C2—48no—
1624C2—114no—
1625C2—224no—
1626C2—441no—
1627C2—442no—
1628C2—448no—
1629C2C2×D11×H(5,𝔽2)12yes—
1630C2C2×D11×H(5,𝔽2)11yescharacteristic
subgroupG/H
center, FrattiniC22C25×D11
commutator, socle, cosocleC22×C11C26
FittingC11×#3537C2
hypercenter#3537D11
hypocenterC11C2×#3537
LCSG ▷ C22×C11 ▷ C11
UCSC1 ◁ C22 ◁ #3537

Complements

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

NH ≅ G/Ntype
1. #13082855C2semidirect
2. #13082854C2semidirect
3. #13082853C2semidirect
4. #13082852C2semidirect
5. #13082851C2semidirect
6. #13082850C2semidirect
7. #13082849C2semidirect
8. #13082848C2semidirect
9. #13082847C2semidirect
10. #13082846C2semidirect
11. D11×#560C2semidirect
12. D11×#553C2semidirect
13. D42×D11C2semidirect
14. D42×D11C2semidirect
15. D11×#540C2semidirect
16. D11×#538C2semidirect
17. D11×#535C2semidirect
18. D11×#534C2semidirect
19. D11×#525C2semidirect
20. C2×D11×#121C2semidirect
21. C11×#3537C2semidirect
22. C2×#41×D11C22semidirect
23. C22×D4×D11C22semidirect
24. C22×D4×D11C22semidirect
25. C22×D4×D11C22semidirect
26. C22×D4×D11C22semidirect
27. C23×C4×D11C22semidirect
28. C11×#560C22semidirect
29. C11×#553C22semidirect
30. D42×C11C22semidirect
31. D42×C11C22semidirect
32. C11×#540C22semidirect
33. C11×#538C22semidirect
34. C11×#535C22semidirect
35. C11×#534C22semidirect
36. C11×#525C22semidirect
37. C2×C11×#121C22semidirect
38. #10623361C22semidirect
39. #10623359C22semidirect
40. #10623336C22semidirect
41. #10623335C22semidirect
42. C2×#66992C22semidirect
43. D4×C22⋊D11C22semidirect
44. D4×C22⋊D11C22semidirect
45. D4×C22⋊D11C22semidirect
46. D4×C22⋊D11C22semidirect
47. D4×C22⋊D11C22semidirect
48. C2×#66991C22semidirect
49. #10623322C22semidirect
50. C2×#66983C22semidirect
51. #10623251C22semidirect
52. #10623250C22semidirect
53. #10623248C22semidirect
54. #10623248C22semidirect
55. #10623246C22semidirect
56. D11×#127C22semidirect
57. D11×#127C22semidirect
58. #10623242C22semidirect
59. #10623240C22semidirect
60. #10623235C22semidirect
61. D11×#126C22semidirect
62. #10623229C22semidirect
63. #10623226C22semidirect
64. D11×#125C22semidirect
65. #10623209C22semidirect
66. #10623205C22semidirect
67. D11×#124C22semidirect
68. #10623197C22semidirect
69. #10623197C22semidirect
70. #10623194C22semidirect
71. #10623192C22semidirect
72. #10623188C22semidirect
73. #10623187C22semidirect
74. #10623184C22semidirect
75. #10623184C22semidirect
76. D11×#123C22semidirect
77. D11×#123C22semidirect
78. D11×#123C22semidirect
79. #10623175C22semidirect
80. #10623158C22semidirect
81. D11×C22⋊Q8C22semidirect
82. #10623151C22semidirect
83. #10623151C22semidirect
84. #10623151C22semidirect
85. #10623150C22semidirect
86. #10623149C22semidirect
87. #10623148C22semidirect
88. #10623146C22semidirect
89. #10623145C22semidirect
90. #10623144C22semidirect
91. #10623140C22semidirect
92. #10623140C22semidirect
93. #10623140C22semidirect
94. #10623140C22semidirect
95. #10623140C22semidirect
96. #10623138C22semidirect
97. #10623138C22semidirect
98. #10623137C22semidirect
99. #10623136C22semidirect
100. #10623136C22semidirect
101. #10623136C22semidirect
102. D11×#121C22semidirect
103. D11×#121C22semidirect
104. D11×#121C22semidirect
105. D11×#121C22semidirect
106. D11×#121C22semidirect
107. D11×#121C22semidirect
108. D11×#121C22semidirect
109. D11×#121C22semidirect
110. D11×#121C22semidirect
111. D11×#121C22semidirect
112. D11×#121C22semidirect
113. D11×#121C22semidirect
114. D11×#121C22semidirect
115. #10623132C22semidirect
116. #10623126C22semidirect
117. #10623126C22semidirect
118. #10623124C22semidirect
119. #10623123C22semidirect
120. #10623123C22semidirect
121. #10623121C22semidirect
122. #10623121C22semidirect
123. #10623121C22semidirect
124. #10623121C22semidirect
125. #10623121C22semidirect
126. #10623120C22semidirect
127. #10623120C22semidirect
128. D11×#120C22semidirect
129. D11×#120C22semidirect
130. D11×#120C22semidirect
131. D11×#120C22semidirect
132. D11×#120C22semidirect
133. #10623117C22semidirect
134. #10623096C22semidirect
135. #10623093C22semidirect
136. #10623091C22semidirect
137. #10623089C22semidirect
138. D4×D44C22semidirect
139. D4×D44C22semidirect
140. D4×D44C22semidirect
141. #10623078C22semidirect
142. C4×D4×D11C22semidirect
143. C4×D4×D11C22semidirect
144. C4×D4×D11C22semidirect
145. #10623071C22semidirect
146. #10623066C22semidirect
147. #10623061C22semidirect
148. #10623056C22semidirect
149. #10623055C22semidirect
150. D11×#117C22semidirect
151. D11×#117C22semidirect
152. #10623045C22semidirect
153. C2×#66948C22semidirect
154. C2×C4⋊C4×D11C22semidirect
155. #10623025C22semidirect
156. #10623024C22semidirect
157. C2×#66937C22semidirect
158. C2×C22⋊C4×D11C22semidirect
162. C2×C11×#41C23semidirect
163. C22×D4×C11C23semidirect
164. C22×D4×C11C23semidirect
165. C22×D4×C11C23semidirect
166. C22×D4×C11C23semidirect
167. C23×C4×C11C23semidirect
168. C22×C22⋊D11C23semidirect
169. C22×C22⋊D11C23semidirect
170. C22×C22⋊D11C23semidirect
171. C22×C22⋊D11C23semidirect
172. C22×C22⋊D11C23semidirect
173. C22×C22⋊D11C23semidirect
174. C23×Dic11C23semidirect
176. C2×#4343C23semidirect
178. C2×#4341C23semidirect
179. C2×#4341C23semidirect
194. C2×D4×D11C23semidirect
195. C2×D4×D11C23semidirect
196. C2×D4×D11C23semidirect
197. C2×D4×D11C23semidirect
198. C2×D4×D11C23semidirect
199. C2×D4×D11C23semidirect
200. C2×D4×D11C23semidirect
201. C2×D4×D11C23semidirect
202. C2×D4×D11C23semidirect
203. C2×D4×D11C23semidirect
204. C2×#4339C23semidirect
205. C2×#4339C23semidirect
206. C22×D44C23semidirect
207. C22×D44C23semidirect
208. C22×D44C23semidirect
209. C22×D44C23semidirect
218. C22×C4×D11C23semidirect
219. C22×C4×D11C23semidirect
220. C22×C4×D11C23semidirect
221. C22×C4×D11C23semidirect
222. C11×#127C23semidirect
223. C11×#127C23semidirect
224. C11×#126C23semidirect
225. C11×#125C23semidirect
226. C11×#124C23semidirect
227. C11×#123C23semidirect
228. C11×#123C23semidirect
229. C11×#123C23semidirect
230. C11×C22⋊Q8C23semidirect
231. C11×#121C23semidirect
232. C11×#121C23semidirect
233. C11×#121C23semidirect
234. C11×#121C23semidirect
235. C11×#121C23semidirect
236. C11×#121C23semidirect
237. C11×#121C23semidirect
238. C11×#121C23semidirect
239. C11×#121C23semidirect
240. C11×#120C23semidirect
241. C11×#120C23semidirect
242. C11×#120C23semidirect
243. C11×#120C23semidirect
244. C11×#120C23semidirect
245. C4×D4×C11C23semidirect
246. C4×D4×C11C23semidirect
247. C4×D4×C11C23semidirect
248. C11×#117C23semidirect
249. C11×#117C23semidirect
250. C2×C11×C4⋊C4C23semidirect
251. C2×C11×C22⋊C4C23semidirect
252. #67006C23semidirect
253. #67006C23semidirect
254. #67006C23semidirect
255. #67006C23semidirect
256. #67006C23semidirect
257. C2×C22⋊Dic11C23semidirect
258. #67000C23semidirect
259. #66999C23semidirect
260. #66993C23semidirect
261. #66993C23semidirect
262. #66993C23semidirect
263. #66993C23semidirect
264. #66993C23semidirect
265. #66993C23semidirect
266. #66992C23semidirect
267. #66992C23semidirect
268. #66992C23semidirect
269. #66992C23semidirect
270. #66992C23semidirect
271. #66992C23semidirect
272. #66992C23semidirect
273. #66992C23semidirect
274. #66992C23semidirect
275. #66992C23semidirect
276. #66992C23semidirect
277. #66992C23semidirect
278. #66991C23semidirect
279. #66991C23semidirect
280. #66991C23semidirect
281. #66991C23semidirect
282. #66991C23semidirect
283. #66991C23semidirect
284. #66991C23semidirect
285. #66991C23semidirect
286. #66991C23semidirect
287. #66990C23semidirect
288. #66990C23semidirect
289. #66990C23semidirect
290. #66990C23semidirect
291. #66990C23semidirect
292. #66990C23semidirect
293. #66990C23semidirect
294. #66990C23semidirect
295. #66990C23semidirect
296. #66990C23semidirect
297. #66990C23semidirect
298. #66990C23semidirect
299. #66989C23semidirect
300. #66988C23semidirect
301. #66988C23semidirect
302. #66988C23semidirect
303. D4×Dic11C23semidirect
304. D4×Dic11C23semidirect
305. D4×Dic11C23semidirect
306. #66983C23semidirect
307. #66983C23semidirect
308. #66983C23semidirect
309. #66983C23semidirect
310. #66983C23semidirect
311. #66983C23semidirect
312. #66983C23semidirect
313. #66983C23semidirect
314. #66983C23semidirect
315. #66982C23semidirect
316. #66982C23semidirect
317. #66982C23semidirect
318. C4×C22⋊D11C23semidirect
319. C4×C22⋊D11C23semidirect
320. C4×C22⋊D11C23semidirect
321. C4×C22⋊D11C23semidirect
322. C4×C22⋊D11C23semidirect
323. C2×(C2×D11)⋊C4C23semidirect
324. C2×(C2×D11)⋊C4C23semidirect
325. #66979C23semidirect
326. #66979C23semidirect
327. C2×C4⋊Dic11C23semidirect
328. #66977C23semidirect
329. C2×Dic11⋊C4C23semidirect
330. #66951C23semidirect
331. #66951C23semidirect
332. #66951C23semidirect
333. #66950C23semidirect
334. #66949C23semidirect
335. #66948C23semidirect
336. #66948C23semidirect
337. #66948C23semidirect
338. #66948C23semidirect
339. #66948C23semidirect
340. #66948C23semidirect
341. #66948C23semidirect
342. #66948C23semidirect
343. #66948C23semidirect
344. #66947C23semidirect
345. #66947C23semidirect
346. #66947C23semidirect
347. #66947C23semidirect
348. #66947C23semidirect
349. #66946C23semidirect
350. #66946C23semidirect
351. #66946C23semidirect
352. #66945C23semidirect
353. #66945C23semidirect
359. C4⋊C4×D11C23semidirect
360. C4⋊C4×D11C23semidirect
361. #66943C23semidirect
362. #66942C23semidirect
363. #66939C23semidirect
364. #66939C23semidirect
365. #66939C23semidirect
366. #66938C23semidirect
367. #66938C23semidirect
368. #66937C23semidirect
369. #66937C23semidirect
370. #66937C23semidirect
371. #66937C23semidirect
372. #66937C23semidirect
373. #66937C23semidirect
374. #66937C23semidirect
375. #66937C23semidirect
376. #66937C23semidirect
377. #66937C23semidirect
378. #66937C23semidirect
379. #66937C23semidirect
380. #66936C23semidirect
381. #66936C23semidirect
382. #66936C23semidirect
383. #66936C23semidirect
384. #66936C23semidirect
385. #66935C23semidirect
386. #66935C23semidirect
387. #66935C23semidirect
388. #66935C23semidirect
389. #66935C23semidirect
390. #66935C23semidirect
391. #66935C23semidirect
392. #66935C23semidirect
393. #66935C23semidirect
394. #66935C23semidirect
395. #66935C23semidirect
396. #66935C23semidirect
397. (C22⋊D11)⋊C4C23semidirect
398. (C22⋊D11)⋊C4C23semidirect
399. (C22⋊D11)⋊C4C23semidirect
400. (C22⋊D11)⋊C4C23semidirect
401. (C22⋊D11)⋊C4C23semidirect
410. C22⋊C4×D11C23semidirect
411. C22⋊C4×D11C23semidirect
412. #66932C23semidirect
413. #66932C23semidirect
414. #66932C23semidirect
415. #66931C23semidirect
416. #66930C23semidirect
417. #66930C23semidirect
418. #66929C23semidirect
419. #66928C23semidirect
420. #66927C23semidirect
421. #66927C23semidirect
422. C4×D44C23semidirect
423. C4×D44C23semidirect
424. C4×D44C23semidirect
425. #66925C23semidirect
426. #66925C23semidirect
429. #66923C23semidirect
639. #3537D11direct (N × H)
793. #560C2×D11semidirect
805. #553C2×D11semidirect
826. D42C2×D11semidirect
827. D42C2×D11semidirect
835. #540C2×D11semidirect
845. #538C2×D11semidirect
855. #535C2×D11semidirect
865. #534C2×D11semidirect
879. #525C2×D11semidirect
902. C2×#121C2×D11semidirect
972. C2×#41C22×D11semidirect
1008. C22×D4C22×D11semidirect
1009. C22×D4C22×D11semidirect
1010. C22×D4C22×D11semidirect
1011. C22×D4C22×D11semidirect
1025. C23×C4C22×D11semidirect
1034. #127C22×D11semidirect
1035. #127C22×D11semidirect
1043. #126C22×D11semidirect
1047. #125C22×D11semidirect
1053. #124C22×D11semidirect
1073. #123C22×D11semidirect
1074. #123C22×D11semidirect
1075. #123C22×D11semidirect
1081. C22⋊Q8C22×D11semidirect
1133. #121C22×D11semidirect
1134. #121C22×D11semidirect
1135. #121C22×D11semidirect
1136. #121C22×D11semidirect
1137. #121C22×D11semidirect
1138. #121C22×D11semidirect
1139. #121C22×D11semidirect
1140. #121C22×D11semidirect
1141. #121C22×D11semidirect
1171. #120C22×D11semidirect
1172. #120C22×D11semidirect
1173. #120C22×D11semidirect
1174. #120C22×D11semidirect
1175. #120C22×D11semidirect
1195. C4×D4C22×D11semidirect
1196. C4×D4C22×D11semidirect
1197. C4×D4C22×D11semidirect
1206. #117C22×D11semidirect
1207. #117C22×D11semidirect
1217. C2×C4⋊C4C22×D11semidirect
1231. C2×C22⋊C4C22×D11semidirect
1244. D11#3537direct (N × H)
1443. C11C2×#3537semidirect

Maximal subgroups

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

subgroupindex
#130828552
#130828542
#130828532
#130828522
#130828512
#130828502
#130828492
#130828482
#130828472
#130828462
D11×#5602
D11×#5532
D42×D112
D11×#5402
D11×#5382
D11×#5352
D11×#5342
D11×#5252
C2×D11×#1212
C11×#35372
C2×#353711