Finite Group Databasebeta

← C2×#13082921 #15660901

Subgroups — C2×#13082921 #15660901

Order 2816.

8122 conjugacy classes of subgroups.

The subgroup lattice has 2160 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#13082921C2132yesmaximal, direct product factor
2C2×#10623198C211yesmaximal, characteristic, complemented
3C2×#10623152C211yesmaximal, characteristic, complemented
4C2×#10623151C211yesmaximal, characteristic, complemented
5C2×#10623147C211yesmaximal, characteristic, complemented
6C2×#10623132C211yesmaximal, characteristic, complemented
7C2×#10623239C211yesmaximal, characteristic, complemented
8C2×#10623236C211yesmaximal, characteristic, complemented
9C2×#10623189C211yesmaximal, characteristic, complemented
10C2×#10623249C211yesmaximal, characteristic, complemented
11C2×#10623186C211yesmaximal, characteristic, complemented
12C2×#10623143C211yesmaximal, characteristic, complemented
13C2×#10623141C211yesmaximal, characteristic, complemented
14C2×#10623122C211yesmaximal, characteristic, complemented
15C2×#10623122C211yesmaximal, characteristic, complemented
16C2×#10623121C211yesmaximal, characteristic, complemented
17C2×#10623241C211yesmaximal, characteristic, complemented
18C2×#10623150C211yesmaximal, characteristic, complemented
19C2×#10623194C211yesmaximal, characteristic, complemented
20C2×#10623194C211yesmaximal, characteristic, complemented
21C2×#10623235C211yesmaximal, characteristic, complemented
22C2×#10623124C211yesmaximal, characteristic, complemented
23C2×#10623128C211yesmaximal, characteristic, complemented
24C2×#10623138C211yesmaximal, characteristic, complemented
25C2×#10623123C211yesmaximal, characteristic, complemented
26C2×#10623246C211yesmaximal, characteristic, complemented
27C2×#10623120C211yesmaximal, characteristic, complemented
28C2×#10623136C211yesmaximal, characteristic, complemented
29C2×#10623137C211yesmaximal, characteristic, complemented
30C2×#10623187C211yesmaximal, characteristic, complemented
31C2×D11×#121C211yesmaximal, characteristic, complemented
32C2×C11×#560C211yesmaximal, characteristic, complemented
33C23×C22⋊D11C2211yescharacteristic
34C23×C22⋊D11C2211yescharacteristic, complemented
35C22×#4341C2211yescharacteristic, complemented
36C22×#4341C2211yescharacteristic, complemented
37C22×#4341C2211yescharacteristic, complemented
38C22×#4341C2211yescharacteristic, complemented
39C22×D4×D11C2211yescharacteristic
40C22×D4×D11C2211yescharacteristic
41C22×D4×D11C2211yescharacteristic, complemented
42C22×D4×D11C2211yescharacteristic, complemented
43C22×#4339C2211yescharacteristic, complemented
44C23×C4×D11C2211yescharacteristic, complemented
45C11×#560C22116yescomplemented
46C2×C11×#127C2211yescharacteristic, complemented
47C2×C11×#126C2211yescharacteristic, complemented
48C2×C11×#126C2211yescharacteristic, complemented
49C2×C11×#123C2211yescharacteristic, complemented
50C2×C11×#123C2211yescharacteristic, complemented
51C2×C11×#123C2211yescharacteristic, complemented
52C2×C11×#121C2211yescharacteristic, complemented
53C2×C11×#121C2211yescharacteristic, complemented
54C2×C11×#121C2211yescharacteristic, complemented
55C2×C11×#121C2211yescharacteristic, complemented
56C2×C11×#121C2211yescharacteristic, complemented
57C2×C11×#121C2211yescharacteristic, complemented
58C2×C11×#120C2211yescharacteristic, complemented
59C2×C11×#120C2211yescharacteristic, complemented
60C2×C11×#120C2211yescharacteristic, complemented
61C2×#67006C2211yescharacteristic, complemented
62C22×C22⋊Dic11C2211yescharacteristic, complemented
63C2×#66993C2211yescharacteristic, complemented
64C2×#66993C2211yescharacteristic, complemented
65C2×#66993C2211yescharacteristic, complemented
66C2×#66993C2211yescharacteristic, complemented
67C2×#66992C2211yescharacteristic
68C2×#66992C2211yescharacteristic, complemented
69C2×#66992C2211yescharacteristic, complemented
70C2×#66992C2211yescharacteristic, complemented
71C2×#66992C2211yescharacteristic, complemented
72C2×#66992C2211yescharacteristic, complemented
73C2×#66992C2211yescharacteristic, complemented
74C2×#66992C2211yescharacteristic, complemented
75C2×#66992C2211yescharacteristic, complemented
76C2×#66992C2211yescharacteristic, complemented
77C2×#66992C2211yescharacteristic, complemented
78C2×#66992C2211yescharacteristic, complemented
79C2×#66992C2211yescharacteristic, complemented
80C2×#66992C2211yescharacteristic, complemented
81C2×#66991C2211yescharacteristic
82C2×#66991C2211yescharacteristic, complemented
83C2×#66991C2211yescharacteristic, complemented
84C2×#66991C2211yescharacteristic, complemented
85C2×#66991C2211yescharacteristic, complemented
86C2×#66991C2211yescharacteristic, complemented
87C2×#66990C2211yescharacteristic
88C2×#66990C2211yescharacteristic
89C2×#66990C2211yescharacteristic, complemented
90C2×#66990C2211yescharacteristic, complemented
91C2×#66990C2211yescharacteristic, complemented
92C2×#66990C2211yescharacteristic, complemented
93C2×#66990C2211yescharacteristic, complemented
94C2×#66990C2211yescharacteristic, complemented
95C2×#66989C2211yescharacteristic, complemented
96C2×#66989C2211yescharacteristic, complemented
97C2×#66988C2211yescharacteristic, complemented
98C2×#66988C2211yescharacteristic, complemented
99C2×D4×Dic11C2211yescharacteristic, complemented
100C2×D4×Dic11C2211yescharacteristic, complemented
101C2×D4×Dic11C2211yescharacteristic, complemented
102C2×D4×Dic11C2211yescharacteristic, complemented
103C2×#66983C2211yescharacteristic, complemented
104C2×#66983C2211yescharacteristic, complemented
105C2×#66983C2211yescharacteristic, complemented
106C2×#66982C2211yescharacteristic, complemented
107C2×C4×C22⋊D11C2211yescharacteristic, complemented
108C2×C4×C22⋊D11C2211yescharacteristic, complemented
109C22×(C2×D11)⋊C4C2211yescharacteristic, complemented
110C2×#66979C2211yescharacteristic, complemented
111C2×#66977C2211yescharacteristic, complemented
112C22×Dic11⋊C4C2211yescharacteristic, complemented
113#10623249C22116yescomplemented
114#10623246C22116yescomplemented
115#10623241C22116yescomplemented
116#10623239C22116yescomplemented
117#10623236C22116yescomplemented
118#10623235C22116yescomplemented
119#10623198C22116yescomplemented
120#10623194C22116yescomplemented
121#10623194C22116yescomplemented
122#10623189C22116yescomplemented
123#10623187C22116yescomplemented
124#10623186C22116yescomplemented
125#10623152C22116yescomplemented
126#10623151C22116yescomplemented
127#10623150C22116yescomplemented
128#10623147C22116yescomplemented
129#10623143C22116yescomplemented
130#10623141C22116yescomplemented
131#10623138C22116yescomplemented
132#10623137C22116yescomplemented
133#10623136C22116yescomplemented
134D11×#121C22116yescomplemented
135#10623132C22116yescomplemented
136#10623128C22116yescomplemented
137#10623124C22116yescomplemented
138#10623123C22116yescomplemented
139#10623122C22116yescomplemented
140#10623122C22116yescomplemented
141#10623121C22116yescomplemented
142#10623120C22116yescomplemented
143C2×#66951C2211yescharacteristic, complemented
144C2×#66951C2211yescharacteristic, complemented
145C2×#66950C2211yescharacteristic, complemented
146C2×#66950C2211yescharacteristic, complemented
147C2×#66949C2211yescharacteristic, complemented
148C2×#66949C2211yescharacteristic, complemented
149C2×#66949C2211yescharacteristic, complemented
150C2×#66949C2211yescharacteristic, complemented
151C2×#66948C2211yescharacteristic, complemented
152C2×#66948C2211yescharacteristic, complemented
153C2×#66947C2211yescharacteristic, complemented
154C2×#66947C2211yescharacteristic, complemented
155C2×#66947C2211yescharacteristic, complemented
156C2×#66947C2211yescharacteristic, complemented
157C2×#66946C2211yescharacteristic, complemented
158C2×#66946C2211yescharacteristic, complemented
159C2×#66945C2211yescharacteristic, complemented
160C2×#66945C2211yescharacteristic, complemented
161C2×#66945C2211yescharacteristic, complemented
162C2×C4⋊C4×D11C2211yescharacteristic, complemented
163C2×#66943C2211yescharacteristic, complemented
164C2×#66942C2211yescharacteristic, complemented
165C2×#66942C2211yescharacteristic, complemented
166C2×#66941C2211yescharacteristic, complemented
167C2×#66939C2211yescharacteristic, complemented
168C2×#66939C2211yescharacteristic, complemented
169C2×#66939C2211yescharacteristic, complemented
170C2×#66939C2211yescharacteristic, complemented
171C2×#66938C2211yescharacteristic, complemented
172C2×#66938C2211yescharacteristic, complemented
173C2×#66938C2211yescharacteristic, complemented
174C2×#66938C2211yescharacteristic, complemented
175C2×#66938C2211yescharacteristic, complemented
176C2×#66938C2211yescharacteristic, complemented
177C2×#66937C2211yescharacteristic
178C2×#66937C2211yescharacteristic
179C2×#66937C2211yescharacteristic, complemented
180C2×#66937C2211yescharacteristic, complemented
181C2×#66937C2211yescharacteristic, complemented
182C2×#66937C2211yescharacteristic, complemented
183C2×#66937C2211yescharacteristic, complemented
184C2×#66937C2211yescharacteristic, complemented
185C2×#66936C2211yescharacteristic
186C2×#66936C2211yescharacteristic
187C2×#66936C2211yescharacteristic, complemented
188C2×#66936C2211yescharacteristic, complemented
189C2×#66936C2211yescharacteristic, complemented
190C2×#66936C2211yescharacteristic, complemented
191C2×#66936C2211yescharacteristic, complemented
192C2×#66936C2211yescharacteristic, complemented
193C2×#66935C2211yescharacteristic
194C2×#66935C2211yescharacteristic, complemented
195C2×#66935C2211yescharacteristic, complemented
196C2×#66935C2211yescharacteristic, complemented
197C2×(C22⋊D11)⋊C4C2211yescharacteristic
198C2×(C22⋊D11)⋊C4C2211yescharacteristic, complemented
199C2×(C22⋊D11)⋊C4C2211yescharacteristic, complemented
200C2×(C22⋊D11)⋊C4C2211yescharacteristic, complemented
201C2×(C22⋊D11)⋊C4C2211yescharacteristic, complemented
202C2×(C22⋊D11)⋊C4C2211yescharacteristic, complemented
203C2×C22⋊C4×D11C2211yescharacteristic, complemented
204C2×C22⋊C4×D11C2211yescharacteristic, complemented
205C2×C22⋊C4×D11C2211yescharacteristic, complemented
206C2×C22⋊C4×D11C2211yescharacteristic, complemented
207C2×#66932C2211yescharacteristic, complemented
208C2×#66932C2211yescharacteristic, complemented
209C2×#66931C2211yescharacteristic, complemented
210C2×#66931C2211yescharacteristic, complemented
211C2×#66931C2211yescharacteristic, complemented
212C2×#66931C2211yescharacteristic, complemented
213C2×#66930C2211yescharacteristic, complemented
214C2×#66930C2211yescharacteristic, complemented
215C2×#66928C2211yescharacteristic, complemented
216C2×C4×D44C2211yescharacteristic, complemented
217C2×#66925C2211yescharacteristic, complemented
218C2×C4×Dic22C2211yescharacteristic, complemented
219C25×C11C2311yescharacteristic
220C24×D11C2311yescharacteristic
221C24×D11C2311yescharacteristic
222C24×D11C2311yescharacteristic
223C24×D11C2311yescharacteristic
224C22×D4×C11C2311yescharacteristic
225C22×D4×C11C2311yescharacteristic
226C22×D4×C11C2311yescharacteristic
227C22×D4×C11C2311yescharacteristic
228C22×D4×C11C2311yescharacteristic
229C22×D4×C11C2311yescharacteristic
230C22×D4×C11C2311yescharacteristic
231C22×D4×C11C2311yescharacteristic
232C22×D4×C11C2311yescharacteristic
233C22×D4×C11C2311yescharacteristic
234C22×D4×C11C2311yescharacteristic
235C22×D4×C11C2311yescharacteristic
236C23×C4×C11C2311yescharacteristic
237C23×C4×C11C2311yescharacteristic
238C23×C4×C11C2311yescharacteristic
239C22×C22⋊D11—44no—
240C22×C22⋊D11—44no—
241C22×C22⋊D11C2311yescharacteristic
242C22×C22⋊D11C2311yescharacteristic
243C22×C22⋊D11C2311yescharacteristic
244C22×C22⋊D11C2311yescharacteristic
245C22×C22⋊D11C2311yescharacteristic
246C22×C22⋊D11C2311yescharacteristic
247C22×C22⋊D11C2311yescharacteristic
248C22×C22⋊D11C2311yescharacteristic
249C22×C22⋊D11C2311yescharacteristic
250C22×C22⋊D11C2311yescharacteristic
251C22×C22⋊D11C2311yescharacteristic
252C22×C22⋊D11C2311yescharacteristic
253C22×C22⋊D11C2311yescharacteristic
254C22×C22⋊D11C2311yescharacteristic
255C22×C22⋊D11C2311yescharacteristic
256C22×C22⋊D11C2311yescharacteristic
257C22×C22⋊D11C2311yescharacteristic
258C22×C22⋊D11C2311yescharacteristic
259C22×C22⋊D11C2311yescharacteristic
260C22×C22⋊D11C2311yescharacteristic
261C22×C22⋊D11C2311yescharacteristic
262C22×C22⋊D11C2311yescharacteristic
263C22×C22⋊D11C2318yes—
264C22×C22⋊D11C2318yescomplemented
265C23×Dic11C2311yescharacteristic
266C23×Dic11C2311yescharacteristic
267C23×Dic11C2311yescharacteristic
268C23×Dic11C2311yescharacteristic
269C23×Dic11C2311yescharacteristic
270C23×Dic11C2311yescharacteristic
271C23×Dic11C2311yescharacteristic
272C23×Dic11C2311yescharacteristic
273C2×#4341—44no—
274C2×#4341—44no—
275C2×#4341—44no—
276C2×#4341—44no—
277C2×#4341C2318yescomplemented
278C2×#4341C2318yescomplemented
279C2×#4341C2318yescomplemented
280C2×#4341C2318yescomplemented
281C2×D4×D11—44no—
282C2×D4×D11—44no—
283C2×D4×D11—44no—
284C2×D4×D11—44no—
285C2×D4×D11C2318yes—
286C2×D4×D11C2318yes—
287C2×D4×D11C2318yescomplemented
288C2×D4×D11C2318yescomplemented
289C2×#4339—44no—
290C2×#4339C2318yescomplemented
291C22×D44C2311yescharacteristic
292C22×D44C2311yescharacteristic
293C22×D44C2311yescharacteristic
294C22×D44C2311yescharacteristic
295C22×D44C2311yescharacteristic
296C22×D44C2311yescharacteristic
297C22×C4×D11—44no—
298C22×C4×D11C2311yescharacteristic
299C22×C4×D11C2311yescharacteristic
300C22×C4×D11C2311yescharacteristic
301C22×C4×D11C2311yescharacteristic
302C22×C4×D11C2311yescharacteristic
303C22×C4×D11C2311yescharacteristic
304C22×C4×D11C2311yescharacteristic
305C22×C4×D11C2311yescharacteristic
306C22×C4×D11C2311yescharacteristic
307C22×C4×D11C2311yescharacteristic
308C22×C4×D11C2311yescharacteristic
309C22×C4×D11C2318yescomplemented
310C22×Dic22C2311yescharacteristic
311C22×Dic22C2311yescharacteristic
312C22×Dic22C2311yescharacteristic
313C22×Dic22C2311yescharacteristic
314C11×#127C2318yescomplemented
315C11×#126C2318yescomplemented
316C11×#126C2318yescomplemented
317C11×#123C2318yescomplemented
318C11×#123C2318yescomplemented
319C11×#123C2318yescomplemented
320C11×#121C2318yescomplemented
321C11×#121C2318yescomplemented
322C11×#121C2318yescomplemented
323C11×#121C2318yescomplemented
324C11×#121C2318yescomplemented
325C11×#121C2318yescomplemented
326C11×#120C2318yescomplemented
327C11×#120C2318yescomplemented
328C11×#120C2318yescomplemented
329C2×C11×C4⋊C4C2311yescharacteristic
330C2×C11×C4⋊C4C2311yescharacteristic
331C2×C11×C4⋊C4C2311yescharacteristic
332C2×C11×C4⋊C4C2311yescharacteristic
333C2×C11×C4⋊C4C2311yescharacteristic
334C2×C11×C4⋊C4C2311yescharacteristic
335C2×C11×C22⋊C4C2311yescharacteristic
336C2×C11×C22⋊C4C2311yescharacteristic
337C2×C11×C22⋊C4C2311yescharacteristic
338C2×C11×C22⋊C4C2311yescharacteristic
339C2×C11×C22⋊C4C2311yescharacteristic
340C2×C11×C22⋊C4C2311yescharacteristic
341C2×C11×C22⋊C4C2311yescharacteristic
342C2×C11×C22⋊C4C2311yescharacteristic
343C2×C11×C22⋊C4C2311yescharacteristic
344C2×C11×C22⋊C4C2311yescharacteristic
345C2×C11×C22⋊C4C2311yescharacteristic
346C2×C11×C22⋊C4C2311yescharacteristic
347C2×C42×C11C2311yescharacteristic
348#67006C2318yescomplemented
349C2×C22⋊Dic11C2311yescharacteristic
350C2×C22⋊Dic11C2311yescharacteristic
351C2×C22⋊Dic11C2311yescharacteristic
352C2×C22⋊Dic11C2311yescharacteristic
353C2×C22⋊Dic11C2311yescharacteristic
354C2×C22⋊Dic11C2311yescharacteristic
355C2×C22⋊Dic11C2311yescharacteristic
356C2×C22⋊Dic11C2311yescharacteristic
357C2×C22⋊Dic11C2311yescharacteristic
358C2×C22⋊Dic11C2311yescharacteristic
359C2×C22⋊Dic11C2311yescharacteristic
360C2×C22⋊Dic11C2311yescharacteristic
361C2×C22⋊Dic11C2311yescharacteristic
362C2×C22⋊Dic11C2311yescharacteristic
363C2×C22⋊Dic11C2318yescomplemented
364#66993C2318yescomplemented
365#66993C2318yescomplemented
366#66993C2318yescomplemented
367#66993C2318yescomplemented
368#66992C2318yes—
369#66992C2318yescomplemented
370#66992C2318yescomplemented
371#66992C2318yescomplemented
372#66992C2318yescomplemented
373#66992C2318yescomplemented
374#66992C2318yescomplemented
375#66992C2318yescomplemented
376#66992C2318yescomplemented
377#66992C2318yescomplemented
378#66992C2318yescomplemented
379#66992C2318yescomplemented
380#66992C2318yescomplemented
381#66992C2318yescomplemented
382#66991C2318yes—
383#66991C2318yescomplemented
384#66991C2318yescomplemented
385#66991C2318yescomplemented
386#66991C2318yescomplemented
387#66991C2318yescomplemented
388#66990C2318yes—
389#66990C2318yes—
390#66990C2318yescomplemented
391#66990C2318yescomplemented
392#66990C2318yescomplemented
393#66990C2318yescomplemented
394#66990C2318yescomplemented
395#66990C2318yescomplemented
396#66989C2318yescomplemented
397#66989C2318yescomplemented
398#66988C2318yescomplemented
399#66988C2318yescomplemented
400D4×Dic11C2318yescomplemented
401D4×Dic11C2318yescomplemented
402D4×Dic11C2318yescomplemented
403D4×Dic11C2318yescomplemented
404#66983C2318yescomplemented
405#66983C2318yescomplemented
406#66983C2318yescomplemented
407#66982C2318yescomplemented
408C4×C22⋊D11C2318yescomplemented
409C4×C22⋊D11C2318yescomplemented
410C2×(C2×D11)⋊C4C2311yescharacteristic
411C2×(C2×D11)⋊C4C2311yescharacteristic
412C2×(C2×D11)⋊C4C2311yescharacteristic
413C2×(C2×D11)⋊C4C2311yescharacteristic
414C2×(C2×D11)⋊C4C2311yescharacteristic
415C2×(C2×D11)⋊C4C2311yescharacteristic
416C2×(C2×D11)⋊C4C2311yescharacteristic
417C2×(C2×D11)⋊C4C2311yescharacteristic
418C2×(C2×D11)⋊C4C2311yescharacteristic
419C2×(C2×D11)⋊C4C2311yescharacteristic
420C2×(C2×D11)⋊C4C2311yescharacteristic
421C2×(C2×D11)⋊C4C2311yescharacteristic
422C2×(C2×D11)⋊C4C2311yescharacteristic
423C2×(C2×D11)⋊C4C2311yescharacteristic
424C2×(C2×D11)⋊C4C2311yescharacteristic
425C2×(C2×D11)⋊C4C2311yescharacteristic
426C2×(C2×D11)⋊C4C2311yescharacteristic
427C2×(C2×D11)⋊C4C2311yescharacteristic
428C2×(C2×D11)⋊C4C2311yescharacteristic
429C2×(C2×D11)⋊C4C2311yescharacteristic
430C2×(C2×D11)⋊C4C2311yescharacteristic
431C2×(C2×D11)⋊C4C2311yescharacteristic
432C2×(C2×D11)⋊C4C2318yescomplemented
433#66979C2318yescomplemented
434C2×C4⋊Dic11C2311yescharacteristic
435C2×C4⋊Dic11C2311yescharacteristic
436C2×C4⋊Dic11C2311yescharacteristic
437C2×C4⋊Dic11C2311yescharacteristic
438C2×C4⋊Dic11C2311yescharacteristic
439C2×C4⋊Dic11C2311yescharacteristic
440C2×C4⋊Dic11C2311yescharacteristic
441C2×C4⋊Dic11C2311yescharacteristic
442#66977C2318yescomplemented
443C2×Dic11⋊C4C2311yescharacteristic
444C2×Dic11⋊C4C2311yescharacteristic
445C2×Dic11⋊C4C2311yescharacteristic
446C2×Dic11⋊C4C2311yescharacteristic
447C2×Dic11⋊C4C2311yescharacteristic
448C2×Dic11⋊C4C2311yescharacteristic
449C2×Dic11⋊C4C2311yescharacteristic
450C2×Dic11⋊C4C2311yescharacteristic
451C2×Dic11⋊C4C2311yescharacteristic
452C2×Dic11⋊C4C2311yescharacteristic
453C2×Dic11⋊C4C2311yescharacteristic
454C2×Dic11⋊C4C2311yescharacteristic
455C2×Dic11⋊C4C2311yescharacteristic
456C2×Dic11⋊C4C2311yescharacteristic
457C2×Dic11⋊C4C2318yescomplemented
458C2×C4×Dic11C2311yescharacteristic
459C2×C4×Dic11C2311yescharacteristic
460C2×C4×Dic11C2311yescharacteristic
461C2×C4×Dic11C2311yescharacteristic
462C2×C4×Dic11C2311yescharacteristic
463C2×C4×Dic11C2311yescharacteristic
464C2×C4×Dic11C2311yescharacteristic
465#66951C2318yescomplemented
466#66951C2318yescomplemented
467#66950C2318yescomplemented
468#66950C2318yescomplemented
469#66949C2318yescomplemented
470#66949C2318yescomplemented
471#66949C2318yescomplemented
472#66949C2318yescomplemented
473#66948C2318yescomplemented
474#66948C2318yescomplemented
475#66947C2318yescomplemented
476#66947C2318yescomplemented
477#66947C2318yescomplemented
478#66947C2318yescomplemented
479#66946C2318yescomplemented
480#66946C2318yescomplemented
481#66945C2318yescomplemented
482#66945C2318yescomplemented
483#66945C2318yescomplemented
484C4⋊C4×D11C2318yescomplemented
485#66943C2318yescomplemented
486#66942C2318yescomplemented
487#66942C2318yescomplemented
488#66941C2318yescomplemented
489#66939C2318yescomplemented
490#66939C2318yescomplemented
491#66939C2318yescomplemented
492#66939C2318yescomplemented
493#66938C2318yescomplemented
494#66938C2318yescomplemented
495#66938C2318yescomplemented
496#66938C2318yescomplemented
497#66938C2318yescomplemented
498#66938C2318yescomplemented
499#66937C2318yes—
500#66937C2318yes—
501#66937C2318yescomplemented
502#66937C2318yescomplemented
503#66937C2318yescomplemented
504#66937C2318yescomplemented
505#66937C2318yescomplemented
506#66937C2318yescomplemented
507#66936C2318yes—
508#66936C2318yes—
509#66936C2318yescomplemented
510#66936C2318yescomplemented
511#66936C2318yescomplemented
512#66936C2318yescomplemented
513#66936C2318yescomplemented
514#66936C2318yescomplemented
515#66935C2318yes—
516#66935C2318yescomplemented
517#66935C2318yescomplemented
518#66935C2318yescomplemented
519(C22⋊D11)⋊C4C2318yes—
520(C22⋊D11)⋊C4C2318yescomplemented
521(C22⋊D11)⋊C4C2318yescomplemented
522(C22⋊D11)⋊C4C2318yescomplemented
523(C22⋊D11)⋊C4C2318yescomplemented
524(C22⋊D11)⋊C4C2318yescomplemented
525C22⋊C4×D11C2318yescomplemented
526C22⋊C4×D11C2318yescomplemented
527C22⋊C4×D11C2318yescomplemented
528C22⋊C4×D11C2318yescomplemented
529#66932C2318yescomplemented
530#66932C2318yescomplemented
531#66931C2318yescomplemented
532#66931C2318yescomplemented
533#66931C2318yescomplemented
534#66931C2318yescomplemented
535#66930C2318yescomplemented
536#66930C2318yescomplemented
537#66928C2318yescomplemented
538C4×D44C2318yescomplemented
539#66925C2318yescomplemented
540C4×Dic22C2318yescomplemented
541C2×#3542—111nomaximal, Sylow
542C24×C11—42no—
543C24×C11—42no—
544C24×C11—42no—
545C24×C11C2411yescharacteristic
546C24×C11C2411yescharacteristic
547C24×C11C2411yescharacteristic
548C24×C11C2411yescharacteristic
549C24×C11C2411yescharacteristic
550C24×C11C2411yescharacteristic
551C24×C11C2414yes—
552C23×D11—24no—
553C23×D11—24no—
554C23×D11—24no—
555C23×D11—42no—
556C23×D11—42no—
557C23×D11—42no—
558C23×D11—42no—
559C23×D11—42no—
560C23×D11—42no—
561C23×D11—42no—
562C23×D11—42no—
563C23×D11—42no—
564C23×D11C2411yescharacteristic
565C23×D11C2411yescharacteristic
566C23×D11C2411yescharacteristic
567C23×D11C2411yescharacteristic
568C23×D11C2411yescharacteristic
569C23×D11C2414yes—
570C23×D11C2414yes—
571C23×D11C2414yes—
572C23×D11C2414yes—
573C2×D4×C11—42no—
574C2×D4×C11—42no—
575C2×D4×C11—42no—
576C2×D4×C11—42no—
577C2×D4×C11—42no—
578C2×D4×C11—42no—
579C2×D4×C11—42no—
580C2×D4×C11—42no—
581C2×D4×C11—42no—
582C2×D4×C11—42no—
583C2×D4×C11—42no—
584C2×D4×C11—42no—
585C2×D4×C11C2414yes—
586C2×D4×C11C2414yes—
587C2×D4×C11C2414yes—
588C2×D4×C11C2414yes—
589C2×D4×C11C2414yes—
590C2×D4×C11C2414yes—
591C2×D4×C11C2414yes—
592C2×D4×C11C2414yes—
593C2×D4×C11C2414yes—
594C2×D4×C11C2414yes—
595C2×D4×C11C2414yes—
596C2×D4×C11C2414yes—
597C22×C4×C11—42no—
598C22×C4×C11—42no—
599C22×C4×C11—42no—
600C22×C4×C11C2411yescharacteristic
601C22×C4×C11C2411yescharacteristic
602C22×C4×C11C2411yescharacteristic
603C22×C4×C11C2411yescharacteristic
604C22×C4×C11C2411yescharacteristic
605C22×C4×C11C2411yescharacteristic
606C22×C4×C11C2411yescharacteristic
607C22×C4×C11C2411yescharacteristic
608C22×C4×C11C2411yescharacteristic
609C22×C4×C11C2414yes—
610C22×C4×C11C2414yes—
611C22×C4×C11C2414yes—
612C2×C22⋊D11—24no—
613C2×C22⋊D11—24no—
614C2×C22⋊D11—24no—
615C2×C22⋊D11—24no—
616C2×C22⋊D11—24no—
617C2×C22⋊D11—24no—
618C2×C22⋊D11—42no—
619C2×C22⋊D11—42no—
620C2×C22⋊D11—42no—
621C2×C22⋊D11—42no—
622C2×C22⋊D11—42no—
623C2×C22⋊D11—42no—
624C2×C22⋊D11—42no—
625C2×C22⋊D11—42no—
626C2×C22⋊D11—42no—
627C2×C22⋊D11—42no—
628C2×C22⋊D11—42no—
629C2×C22⋊D11—42no—
630C2×C22⋊D11—42no—
631C2×C22⋊D11—42no—
632C2×C22⋊D11—42no—
633C2×C22⋊D11—42no—
634C2×C22⋊D11—416no—
635C2×C22⋊D11—416no—
636C2×C22⋊D11C2414yes—
637C2×C22⋊D11C2414yes—
638C2×C22⋊D11C2414yes—
639C2×C22⋊D11C2414yes—
640C2×C22⋊D11C2414yes—
641C2×C22⋊D11C2414yes—
642C2×C22⋊D11C2414yes—
643C2×C22⋊D11C2414yes—
644C2×C22⋊D11C2414yes—
645C2×C22⋊D11C2414yes—
646C2×C22⋊D11C2414yes—
647C2×C22⋊D11C2414yes—
648C2×C22⋊D11C2414yes—
649C2×C22⋊D11C2414yes—
650C2×C22⋊D11C2414yes—
651C2×C22⋊D11C2414yes—
652C2×C22⋊D11C2414yes—
653C2×C22⋊D11C2414yes—
654C2×C22⋊D11C2414yes—
655C2×C22⋊D11C2414yes—
656C2×C22⋊D11C2414yes—
657C2×C22⋊D11C2414yes—
658C22×Dic11—24no—
659C22×Dic11—24no—
660C22×Dic11—24no—
661C22×Dic11—42no—
662C22×Dic11—42no—
663C22×Dic11—42no—
664C22×Dic11—42no—
665C22×Dic11—42no—
666C22×Dic11C2414yes—
667C22×Dic11C2414yes—
668C22×Dic11C2414yes—
669C22×Dic11C2411yescharacteristic
670C22×Dic11C2411yescharacteristic
671C22×Dic11C2411yescharacteristic
672C22×Dic11C2411yescharacteristic
673C22×Dic11C2411yescharacteristic
674C22×Dic11C2411yescharacteristic
675C22×Dic11C2411yescharacteristic
676C22×Dic11C2411yescharacteristic
677C22×Dic11C2411yescharacteristic
678C22×Dic11C2411yescharacteristic
679C22×Dic11C2414yes—
680C22×Dic11C2414yes—
681C22×Dic11C2414yes—
682C22×Dic11C2414yes—
683C22×Dic11C2414yes—
684C22×Dic11C2411yescharacteristic
685#4341—416no—
686#4341—416no—
687#4341—416no—
688#4341—416no—
689D4×D11—416no—
690D4×D11—416no—
691D4×D11—416no—
692D4×D11—416no—
693#4339—416no—
694C2×D44—24no—
695C2×D44—42no—
696C2×D44—42no—
697C2×D44—42no—
698C2×D44—42no—
699C2×D44—42no—
700C2×D44C2414yes—
701C2×D44C2414yes—
702C2×D44C2414yes—
703C2×D44C2414yes—
704C2×D44C2414yes—
705C2×D44C2414yes—
706C2×C4×D11—24no—
707C2×C4×D11—24no—
708C2×C4×D11—24no—
709C2×C4×D11—24no—
710C2×C4×D11—42no—
711C2×C4×D11—42no—
712C2×C4×D11—42no—
713C2×C4×D11—42no—
714C2×C4×D11—42no—
715C2×C4×D11—42no—
716C2×C4×D11—42no—
717C2×C4×D11—416no—
718C2×C4×D11C2414yes—
719C2×C4×D11C2414yes—
720C2×C4×D11C2414yes—
721C2×C4×D11C2414yes—
722C2×C4×D11C2414yes—
723C2×C4×D11C2414yes—
724C2×C4×D11C2414yes—
725C2×C4×D11C2414yes—
726C2×C4×D11C2414yes—
727C2×C4×D11C2414yes—
728C2×C4×D11C2414yes—
729C2×Dic22—24no—
730C2×Dic22—42no—
731C2×Dic22—42no—
732C2×Dic22—42no—
733C2×Dic22C2414yes—
734C2×Dic22C2414yes—
735C2×Dic22C2414yes—
736C2×Dic22C2414yes—
737C11×C4⋊C4C2414yes—
738C11×C4⋊C4C2414yes—
739C11×C4⋊C4C2414yes—
740C11×C4⋊C4C2414yes—
741C11×C4⋊C4C2414yes—
742C11×C4⋊C4C2414yes—
743C11×C22⋊C4C2414yes—
744C11×C22⋊C4C2414yes—
745C11×C22⋊C4C2414yes—
746C11×C22⋊C4C2414yes—
747C11×C22⋊C4C2414yes—
748C11×C22⋊C4C2414yes—
749C11×C22⋊C4C2414yes—
750C11×C22⋊C4C2414yes—
751C11×C22⋊C4C2414yes—
752C11×C22⋊C4C2414yes—
753C11×C22⋊C4C2414yes—
754C11×C22⋊C4C2414yes—
755C42×C11C2414yes—
756C22⋊Dic11C2414yes—
757C22⋊Dic11C2414yes—
758C22⋊Dic11C2414yes—
759C22⋊Dic11C2414yes—
760C22⋊Dic11C2414yes—
761C22⋊Dic11C2414yes—
762C22⋊Dic11C2414yes—
763C22⋊Dic11C2414yes—
764C22⋊Dic11C2414yes—
765C22⋊Dic11C2414yes—
766C22⋊Dic11C2414yes—
767C22⋊Dic11C2414yes—
768C22⋊Dic11C2414yes—
769C22⋊Dic11C2414yes—
770(C2×D11)⋊C4C2414yes—
771(C2×D11)⋊C4C2414yes—
772(C2×D11)⋊C4C2414yes—
773(C2×D11)⋊C4C2414yes—
774(C2×D11)⋊C4C2414yes—
775(C2×D11)⋊C4C2414yes—
776(C2×D11)⋊C4C2414yes—
777(C2×D11)⋊C4C2414yes—
778(C2×D11)⋊C4C2414yes—
779(C2×D11)⋊C4C2414yes—
780(C2×D11)⋊C4C2414yes—
781(C2×D11)⋊C4C2414yes—
782(C2×D11)⋊C4C2414yes—
783(C2×D11)⋊C4C2414yes—
784(C2×D11)⋊C4C2414yes—
785(C2×D11)⋊C4C2414yes—
786(C2×D11)⋊C4C2414yes—
787(C2×D11)⋊C4C2414yes—
788(C2×D11)⋊C4C2414yes—
789(C2×D11)⋊C4C2414yes—
790(C2×D11)⋊C4C2414yes—
791(C2×D11)⋊C4C2414yes—
792C4⋊Dic11C2414yes—
793C4⋊Dic11C2414yes—
794C4⋊Dic11C2414yes—
795C4⋊Dic11C2414yes—
796C4⋊Dic11C2414yes—
797C4⋊Dic11C2414yes—
798C4⋊Dic11C2414yes—
799C4⋊Dic11C2414yes—
800Dic11⋊C4C2414yes—
801Dic11⋊C4C2414yes—
802Dic11⋊C4C2414yes—
803Dic11⋊C4C2414yes—
804Dic11⋊C4C2414yes—
805Dic11⋊C4C2414yes—
806Dic11⋊C4C2414yes—
807Dic11⋊C4C2414yes—
808Dic11⋊C4C2414yes—
809Dic11⋊C4C2414yes—
810Dic11⋊C4C2414yes—
811Dic11⋊C4C2414yes—
812Dic11⋊C4C2414yes—
813Dic11⋊C4C2414yes—
814C4×Dic11C2414yes—
815C4×Dic11C2414yes—
816C4×Dic11C2414yes—
817C4×Dic11C2414yes—
818C4×Dic11C2414yes—
819C4×Dic11C2414yes—
820C4×Dic11C2414yes—
821#3542—1132no—
822C2×#562—111no—
823C2×#562—111no—
824C2×#560—111no—
825C2×#560D1111yescharacteristic, complemented
826C2×#555—111no—
827C2×#553—111no—
828C2×#552—111no—
829C2×#551—111no—
830C2×#551—111no—
831C2×#550—111no—
832C2×#547—111no—
833C2×#546—111no—
834C2×#546—111no—
835C2×#546—111no—
836C2×#546—111no—
837C2×D42—111no—
838C2×#542—111no—
839C2×#540—111no—
840C2×#540—111no—
841C2×#540—111no—
842C2×#538—111no—
843C2×#538—111no—
844C2×#537—111no—
845C2×#535—111no—
846C2×#535—111no—
847C2×#535—111no—
848C2×#534—111no—
849C2×#534—111no—
850C2×#525—111no—
851C2×#525—111no—
852C22×#121—111no—
853C23×C11—22no—
854C23×C11—22no—
855C23×C11—22no—
856C23×C11—22no—
857C23×C11—22no—
858C23×C11—22no—
859C23×C11—22no—
860C23×C11—22no—
861C23×C11—22no—
862C23×C11—22no—
863C23×C11—22no—
864C23×C11—22no—
865C23×C11—22no—
866C23×C11—22no—
867C23×C11—22no—
868C23×C11—22no—
869C23×C11—22no—
870C23×C11—22no—
871C23×C11—44no—
872C23×C11—44no—
873C23×C11—44no—
874C23×C11—88no—
875C23×C11C2512yes—
876C23×C11C2512yes—
877C23×C11C2512yes—
878C23×C11C2512yes—
879C23×C11C2512yes—
880C23×C11C2512yes—
881C23×C11C2511yescharacteristic
882C22×D11—22no—
883C22×D11—22no—
884C22×D11—22no—
885C22×D11—22no—
886C22×D11—22no—
887C22×D11—22no—
888C22×D11—22no—
889C22×D11—22no—
890C22×D11—22no—
891C22×D11—22no—
892C22×D11—22no—
893C22×D11—22no—
894C22×D11—22no—
895C22×D11—22no—
896C22×D11—28no—
897C22×D11—28no—
898C22×D11—28no—
899C22×D11—44no—
900C22×D11—44no—
901C22×D11—44no—
902C22×D11—44no—
903C22×D11—44no—
904C22×D11—44no—
905C22×D11—44no—
906C22×D11—44no—
907C22×D11—44no—
908C22×D11—416no—
909C22×D11—88no—
910C22×D11—88no—
911C22×D11—88no—
912C22×D11H(5,𝔽2)14yes—
913C22×D11C2512yes—
914C22×D11C2512yes—
915C22×D11C2512yes—
916C22×D11C2512yes—
917C22×D11C2512yes—
918D4×C11—44no—
919D4×C11—44no—
920D4×C11—44no—
921D4×C11—44no—
922D4×C11—44no—
923D4×C11—44no—
924D4×C11—44no—
925D4×C11—44no—
926D4×C11—44no—
927D4×C11—44no—
928D4×C11—44no—
929D4×C11—44no—
930C2×C4×C11—22no—
931C2×C4×C11—22no—
932C2×C4×C11—22no—
933C2×C4×C11—22no—
934C2×C4×C11—22no—
935C2×C4×C11—22no—
936C2×C4×C11—22no—
937C2×C4×C11—22no—
938C2×C4×C11—22no—
939C2×C4×C11—44no—
940C2×C4×C11—44no—
941C2×C4×C11—44no—
942C2×C4×C11C2512yes—
943C2×C4×C11C2512yes—
944C2×C4×C11C2512yes—
945C2×C4×C11C2512yes—
946C2×C4×C11C2512yes—
947C2×C4×C11C2512yes—
948C2×C4×C11C2512yes—
949C2×C4×C11C2512yes—
950C2×C4×C11C2512yes—
951C22⋊D11—28no—
952C22⋊D11—28no—
953C22⋊D11—28no—
954C22⋊D11—28no—
955C22⋊D11—28no—
956C22⋊D11—28no—
957C22⋊D11—44no—
958C22⋊D11—44no—
959C22⋊D11—44no—
960C22⋊D11—44no—
961C22⋊D11—44no—
962C22⋊D11—44no—
963C22⋊D11—44no—
964C22⋊D11—44no—
965C22⋊D11—44no—
966C22⋊D11—44no—
967C22⋊D11—44no—
968C22⋊D11—44no—
969C22⋊D11—44no—
970C22⋊D11—44no—
971C22⋊D11—44no—
972C22⋊D11—44no—
973C2×Dic11—22no—
974C2×Dic11—22no—
975C2×Dic11—22no—
976C2×Dic11—22no—
977C2×Dic11—22no—
978C2×Dic11—22no—
979C2×Dic11—22no—
980C2×Dic11—22no—
981C2×Dic11—22no—
982C2×Dic11—22no—
983C2×Dic11—28no—
984C2×Dic11—28no—
985C2×Dic11—28no—
986C2×Dic11—44no—
987C2×Dic11—44no—
988C2×Dic11—44no—
989C2×Dic11—44no—
990C2×Dic11—44no—
991C2×Dic11H(5,𝔽2)14yes—
992C2×Dic11C2512yes—
993C2×Dic11C2512yes—
994C2×Dic11C2512yes—
995C2×Dic11C2512yes—
996C2×Dic11C2512yes—
997C2×Dic11C2512yes—
998C2×Dic11C2512yes—
999C2×Dic11C2512yes—
1000C2×Dic11C2512yes—
1001C2×Dic11C2512yes—
1002C2×Dic11C2512yes—
1003D44—28no—
1004D44—44no—
1005D44—44no—
1006D44—44no—
1007D44—44no—
1008D44—44no—
1009C4×D11—28no—
1010C4×D11—28no—
1011C4×D11—28no—
1012C4×D11—28no—
1013C4×D11—44no—
1014C4×D11—44no—
1015C4×D11—44no—
1016C4×D11—44no—
1017C4×D11—44no—
1018C4×D11—44no—
1019C4×D11—44no—
1020Dic22—28no—
1021Dic22—44no—
1022Dic22—44no—
1023Dic22—44no—
1024C22×#41—111no—
1025C22×#41—111no—
1026C22×#41—111no—
1027C22×#41—111no—
1028C22×#41—111no—
1029C23×D4—111no—
1030C23×D4—111no—
1031C23×D4—111no—
1032C23×D4—111no—
1033C23×D4—111no—
1034C23×D4—111no—
1035C24×C4—111no—
1036#562—1116no—
1037#562—1116no—
1038#560—1116no—
1039#560C2×D11116yescomplemented
1040#555—1116no—
1041#553—1116no—
1042#552—1116no—
1043#551—1116no—
1044#551—1116no—
1045#550—1116no—
1046#547—1116no—
1047#546—1116no—
1048#546—1116no—
1049#546—1116no—
1050#546—1116no—
1051D42—1116no—
1052#542—1116no—
1053#540—1116no—
1054#540—1116no—
1055#540—1116no—
1056#538—1116no—
1057#538—1116no—
1058#537—1116no—
1059#535—1116no—
1060#535—1116no—
1061#535—1116no—
1062#534—1116no—
1063#534—1116no—
1064C2×C4⋊Q8—111no—
1065C2×#127—111no—
1066C2×#127—111no—
1067C2×#127—111no—
1068C2×#127—111no—
1069C2×#127C2×D1111yescharacteristic, complemented
1070C2×#126—111no—
1071C2×#126—111no—
1072C2×#126—111no—
1073C2×#126—111no—
1074C2×#126C2×D1111yescharacteristic, complemented
1075C2×#126C2×D1111yescharacteristic, complemented
1076C2×#125—111no—
1077C2×#125—111no—
1078C2×#125—111no—
1079C2×#124—111no—
1080C2×#124—111no—
1081C2×#124—111no—
1082C2×#124—111no—
1083C2×#124—111no—
1084C2×#124—111no—
1085C2×#124—111no—
1086C2×#124—111no—
1087C2×#124—111no—
1088#525—1116no—
1089#525—1116no—
1090C2×#123—111no—
1091C2×#123—111no—
1092C2×#123—111no—
1093C2×#123—111no—
1094C2×#123—111no—
1095C2×#123—111no—
1096C2×#123—111no—
1097C2×#123—111no—
1098C2×#123—111no—
1099C2×#123—111no—
1100C2×#123—111no—
1101C2×#123—111no—
1102C2×#123—111no—
1103C2×#123—111no—
1104C2×#123—111no—
1105C2×#123—111no—
1106C2×#123—111no—
1107C2×#123—111no—
1108C2×#123—111no—
1109C2×#123C2×D1111yescharacteristic, complemented
1110C2×#123C2×D1111yescharacteristic, complemented
1111C2×#123C2×D1111yescharacteristic, complemented
1112C2×C22⋊Q8—111no—
1113C2×C22⋊Q8—111no—
1114C2×C22⋊Q8—111no—
1115C2×C22⋊Q8—111no—
1116C2×C22⋊Q8—111no—
1117C2×C22⋊Q8—111no—
1118C2×C22⋊Q8—111no—
1119C2×C22⋊Q8—111no—
1120C2×C22⋊Q8—111no—
1121C2×C22⋊Q8—111no—
1122C2×C22⋊Q8—111no—
1123C2×#121—111no—
1124C2×#121—111no—
1125C2×#121—111no—
1126C2×#121—111no—
1127C2×#121—111no—
1128C2×#121—111no—
1129C2×#121—111no—
1130C2×#121—111no—
1131C2×#121—111no—
1132C2×#121—111no—
1133C2×#121—111no—
1134C2×#121—111no—
1135C2×#121—111no—
1136C2×#121—111no—
1137C2×#121—111no—
1138C2×#121—111no—
1139C2×#121—111no—
1140C2×#121—111no—
1141C2×#121—111no—
1142C2×#121—111no—
1143C2×#121—111no—
1144C2×#121—111no—
1145C2×#121—111no—
1146C2×#121—1116no—
1147C2×#121—111no—
1148C2×#121—111no—
1149C2×#121—111no—
1150C2×#121—111no—
1151C2×#121—111no—
1152C2×#121—111no—
1153C2×#121—111no—
1154C2×#121—111no—
1155C2×#121—111no—
1156C2×#121—111no—
1157C2×#121C2×D1111yescharacteristic, complemented
1158C2×#121C2×D1111yescharacteristic, complemented
1159C2×#121C2×D1111yescharacteristic, complemented
1160C2×#121C2×D1111yescharacteristic, complemented
1161C2×#121C2×D1111yescharacteristic, complemented
1162C2×#121C2×D1111yescharacteristic, complemented
1163C2×#120—111no—
1164C2×#120—111no—
1165C2×#120—111no—
1166C2×#120—111no—
1167C2×#120—111no—
1168C2×#120—111no—
1169C2×#120—111no—
1170C2×#120—111no—
1171C2×#120—111no—
1172C2×#120—111no—
1173C2×#120—111no—
1174C2×#120—111no—
1175C2×#120—111no—
1176C2×#120C2×D1111yescharacteristic, complemented
1177C2×#120C2×D1111yescharacteristic, complemented
1178C2×#120C2×D1111yescharacteristic, complemented
1179C2×C4×Q8—111no—
1180C2×C4×D4—111no—
1181C2×C4×D4—111no—
1182C2×C4×D4—111no—
1183C2×C4×D4—111no—
1184C2×C4×D4—111no—
1185C2×C4×D4—111no—
1186C2×C4×D4—111no—
1187C2×C4×D4—111no—
1188C2×C4×D4—111no—
1189C2×C4×D4—111no—
1190C2×C4×D4—111no—
1191C2×C4×D4—111no—
1192C2×C4×D4—111no—
1193C2×C4×D4—111no—
1194C2×C4×D4—111no—
1195C2×#117—111no—
1196C2×#117—111no—
1197C2×#117—111no—
1198C2×#117—111no—
1199C2×#117—111no—
1200C2×#117—111no—
1201C2×#117—111no—
1202C22×C4⋊C4—111no—
1203C22×C4⋊C4—111no—
1204C22×C22⋊C4—111no—
1205C22×C22⋊C4—111no—
1206C22×C22⋊C4—111no—
1207C22×C22⋊C4—111no—
1208C22×C22⋊C4—111no—
1209C22×C22⋊C4—111no—
1210C22×C11—22no—
1211C22×C11—22no—
1212C22×C11—22no—
1213C22×C11—22no—
1214C22×C11—22no—
1215C22×C11—22no—
1216C22×C11—22no—
1217C22×C11—22no—
1218C22×C11—22no—
1219C22×C11—22no—
1220C22×C11—22no—
1221C22×C11—22no—
1222C22×C11—22no—
1223C22×C11—22no—
1224C22×C11—22no—
1225C22×C11—22no—
1226C22×C11—22no—
1227C22×C11—22no—
1228C22×C11—44no—
1229C22×C11—44no—
1230C22×C11—44no—
1231C22×C11—44no—
1232C22×C11—44no—
1233C22×C11—44no—
1234C22×C11—88no—
1235C22×C11C2×H(5,𝔽2)12yes—
1236C22×C11C2×H(5,𝔽2)12yes—
1237C22×C11#58512yes—
1238C22×C11C2611yescharacteristic
1239C2×D11—22no—
1240C2×D11—22no—
1241C2×D11—28no—
1242C2×D11—22no—
1243C2×D11—22no—
1244C2×D11—22no—
1245C2×D11—22no—
1246C2×D11—22no—
1247C2×D11—22no—
1248C2×D11—22no—
1249C2×D11—22no—
1250C2×D11—22no—
1251C2×D11—22no—
1252C2×D11—22no—
1253C2×D11—22no—
1254C2×D11—416no—
1255C2×D11—44no—
1256C2×D11—44no—
1257C2×D11—44no—
1258C2×D11—44no—
1259C2×D11—88no—
1260C2×D11—88no—
1261C2×D11—88no—
1262C2×D11C2×H(5,𝔽2)14yes—
1263C4×C11—22no—
1264C4×C11—22no—
1265C4×C11—22no—
1266C4×C11—22no—
1267C4×C11—22no—
1268C4×C11—22no—
1269C4×C11—22no—
1270C4×C11—22no—
1271C4×C11—22no—
1272Dic11—22no—
1273Dic11—22no—
1274Dic11—22no—
1275Dic11—22no—
1276Dic11—22no—
1277Dic11—22no—
1278Dic11—22no—
1279Dic11—22no—
1280Dic11—22no—
1281Dic11—22no—
1282Dic11C2×H(5,𝔽2)14yes—
1283C25—111no—
1284C25—111no—
1285C25—111no—
1286C25—111no—
1287C25C22×D1111yescharacteristic
1288C2×#41—118no—
1289C2×#41—118no—
1290C2×#41—118no—
1291C2×#41—118no—
1292C2×#41—118no—
1293C2×#41—444no—
1294C2×#41—444no—
1295C2×#41—444no—
1296C2×#41—444no—
1297C2×#41—444no—
1298C22×Q8—111no—
1299C22×Q8—111no—
1300C22×Q8—111no—
1301C22×Q8—111no—
1302C22×D4—111no—
1303C22×D4—111no—
1304C22×D4—111no—
1305C22×D4—111no—
1306C22×D4—111no—
1307C22×D4—111no—
1308C22×D4—111no—
1309C22×D4—111no—
1310C22×D4—111no—
1311C22×D4—111no—
1312C22×D4—111no—
1313C22×D4—111no—
1314C22×D4—111no—
1315C22×D4—111no—
1316C22×D4—111no—
1317C22×D4—111no—
1318C22×D4—111no—
1319C22×D4—111no—
1320C22×D4—111no—
1321C22×D4—111no—
1322C22×D4—111no—
1323C22×D4—111no—
1324C22×D4—118no—
1325C22×D4—118no—
1326C22×D4—118no—
1327C22×D4—118no—
1328C22×D4—118no—
1329C22×D4—118no—
1330C22×D4—111no—
1331C22×D4—111no—
1332C22×D4—111no—
1333C22×D4—111no—
1334C22×D4—111no—
1335C22×D4—111no—
1336C22×D4—444no—
1337C22×D4—444no—
1338C22×D4—444no—
1339C22×D4—444no—
1340C22×D4—444no—
1341C22×D4—444no—
1342C22×D4C22×D1111yescharacteristic
1343C22×D4C22×D1111yescharacteristic
1344C22×D4C22×D1111yescharacteristic
1345C22×D4C22×D1111yescharacteristic
1346C22×D4C22×D1111yescharacteristic
1347C22×D4C22×D1111yescharacteristic
1348C22×D4C22×D1111yescharacteristic
1349C22×D4C22×D1111yescharacteristic
1350C22×D4C22×D1111yescharacteristic
1351C22×D4C22×D1111yescharacteristic
1352C22×D4C22×D1111yescharacteristic
1353C22×D4C22×D1111yescharacteristic
1354C23×C4—111no—
1355C23×C4—111no—
1356C23×C4—111no—
1357C23×C4—111no—
1358C23×C4—111no—
1359C23×C4—111no—
1360C23×C4—111no—
1361C23×C4—111no—
1362C23×C4—111no—
1363C23×C4—111no—
1364C23×C4—111no—
1365C23×C4—111no—
1366C23×C4—111no—
1367C23×C4—111no—
1368C23×C4—111no—
1369C23×C4—111no—
1370C23×C4—111no—
1371C23×C4—111no—
1372C23×C4—111no—
1373C23×C4—118no—
1374C23×C4—444no—
1375C23×C4C22×D1111yescharacteristic
1376C23×C4C22×D1111yescharacteristic
1377C23×C4C22×D1111yescharacteristic
1378C4⋊Q8—118no—
1379#127—118no—
1380#127—118no—
1381#127—118no—
1382#127—118no—
1383#127C22×D1118yescomplemented
1384#126—118no—
1385#126—118no—
1386#126—118no—
1387#126—118no—
1388#126C22×D1118yescomplemented
1389#126C22×D1118yescomplemented
1390#125—118no—
1391#125—118no—
1392#125—118no—
1393#124—118no—
1394#124—118no—
1395#124—118no—
1396#124—118no—
1397#124—118no—
1398#124—118no—
1399#124—118no—
1400#124—118no—
1401#124—118no—
1402#123—118no—
1403#123—118no—
1404#123—118no—
1405#123—118no—
1406#123—118no—
1407#123—118no—
1408#123—118no—
1409#123—118no—
1410#123—118no—
1411#123—118no—
1412#123—118no—
1413#123—118no—
1414#123—118no—
1415#123—118no—
1416#123—118no—
1417#123—118no—
1418#123—118no—
1419#123—118no—
1420#123—118no—
1421#123C22×D1118yescomplemented
1422#123C22×D1118yescomplemented
1423#123C22×D1118yescomplemented
1424C22⋊Q8—118no—
1425C22⋊Q8—118no—
1426C22⋊Q8—118no—
1427C22⋊Q8—118no—
1428C22⋊Q8—118no—
1429C22⋊Q8—118no—
1430C22⋊Q8—118no—
1431C22⋊Q8—118no—
1432C22⋊Q8—118no—
1433C22⋊Q8—118no—
1434C22⋊Q8—118no—
1435#121—118no—
1436#121—118no—
1437#121—118no—
1438#121—118no—
1439#121—118no—
1440#121—118no—
1441#121—118no—
1442#121—118no—
1443#121—118no—
1444#121—118no—
1445#121—118no—
1446#121—118no—
1447#121—118no—
1448#121—118no—
1449#121—118no—
1450#121—118no—
1451#121—118no—
1452#121—118no—
1453#121—118no—
1454#121—118no—
1455#121—118no—
1456#121—118no—
1457#121—118no—
1458#121—118no—
1459#121—118no—
1460#121—118no—
1461#121—118no—
1462#121—118no—
1463#121—118no—
1464#121—118no—
1465#121—118no—
1466#121—118no—
1467#121—118no—
1468#121C22×D1118yescomplemented
1469#121C22×D1118yescomplemented
1470#121C22×D1118yescomplemented
1471#121C22×D1118yescomplemented
1472#121C22×D1118yescomplemented
1473#121C22×D1118yescomplemented
1474#120—118no—
1475#120—118no—
1476#120—118no—
1477#120—118no—
1478#120—118no—
1479#120—118no—
1480#120—118no—
1481#120—118no—
1482#120—118no—
1483#120—118no—
1484#120—118no—
1485#120—118no—
1486#120—118no—
1487#120C22×D1118yescomplemented
1488#120C22×D1118yescomplemented
1489#120C22×D1118yescomplemented
1490C4×Q8—118no—
1491C4×D4—118no—
1492C4×D4—118no—
1493C4×D4—118no—
1494C4×D4—118no—
1495C4×D4—118no—
1496C4×D4—118no—
1497C4×D4—118no—
1498C4×D4—118no—
1499C4×D4—118no—
1500C4×D4—118no—
1501C4×D4—118no—
1502C4×D4—118no—
1503C4×D4—118no—
1504C4×D4—118no—
1505C4×D4—118no—
1506#117—118no—
1507#117—118no—
1508#117—118no—
1509#117—118no—
1510#117—118no—
1511#117—118no—
1512#117—118no—
1513C2×C4⋊C4—111no—
1514C2×C4⋊C4—111no—
1515C2×C4⋊C4—111no—
1516C2×C4⋊C4—111no—
1517C2×C4⋊C4—111no—
1518C2×C4⋊C4—111no—
1519C2×C4⋊C4—118no—
1520C2×C4⋊C4—111no—
1521C2×C4⋊C4—111no—
1522C2×C4⋊C4—111no—
1523C2×C4⋊C4—111no—
1524C2×C4⋊C4—111no—
1525C2×C4⋊C4—111no—
1526C2×C4⋊C4—111no—
1527C2×C4⋊C4—111no—
1528C2×C4⋊C4—111no—
1529C2×C4⋊C4—111no—
1530C2×C4⋊C4—111no—
1531C2×C4⋊C4—111no—
1532C2×C4⋊C4—111no—
1533C2×C4⋊C4—111no—
1534C2×C4⋊C4—111no—
1535C2×C4⋊C4—111no—
1536C2×C4⋊C4—118no—
1537C2×C4⋊C4C22×D1111yescharacteristic
1538C2×C4⋊C4C22×D1111yescharacteristic
1539C2×C4⋊C4C22×D1111yescharacteristic
1540C2×C4⋊C4C22×D1111yescharacteristic
1541C2×C4⋊C4C22×D1111yescharacteristic
1542C2×C4⋊C4C22×D1111yescharacteristic
1543C2×C22⋊C4—111no—
1544C2×C22⋊C4—111no—
1545C2×C22⋊C4—111no—
1546C2×C22⋊C4—111no—
1547C2×C22⋊C4—111no—
1548C2×C22⋊C4—111no—
1549C2×C22⋊C4—118no—
1550C2×C22⋊C4—111no—
1551C2×C22⋊C4—111no—
1552C2×C22⋊C4—111no—
1553C2×C22⋊C4—111no—
1554C2×C22⋊C4—111no—
1555C2×C22⋊C4—111no—
1556C2×C22⋊C4—111no—
1557C2×C22⋊C4—111no—
1558C2×C22⋊C4—111no—
1559C2×C22⋊C4—111no—
1560C2×C22⋊C4—111no—
1561C2×C22⋊C4—111no—
1562C2×C22⋊C4—111no—
1563C2×C22⋊C4—111no—
1564C2×C22⋊C4—111no—
1565C2×C22⋊C4—111no—
1566C2×C22⋊C4—111no—
1567C2×C22⋊C4—111no—
1568C2×C22⋊C4—118no—
1569C2×C22⋊C4—111no—
1570C2×C22⋊C4—111no—
1571C2×C22⋊C4—111no—
1572C2×C22⋊C4—111no—
1573C2×C22⋊C4—111no—
1574C2×C22⋊C4—111no—
1575C2×C22⋊C4—111no—
1576C2×C22⋊C4—111no—
1577C2×C22⋊C4—111no—
1578C2×C22⋊C4—111no—
1579C2×C22⋊C4—111no—
1580C2×C22⋊C4—111no—
1581C2×C22⋊C4—118no—
1582C2×C22⋊C4—118no—
1583C2×C22⋊C4—118no—
1584C2×C22⋊C4—118no—
1585C2×C22⋊C4C22×D1111yescharacteristic
1586C2×C22⋊C4C22×D1111yescharacteristic
1587C2×C22⋊C4C22×D1111yescharacteristic
1588C2×C22⋊C4C22×D1111yescharacteristic
1589C2×C22⋊C4C22×D1111yescharacteristic
1590C2×C22⋊C4C22×D1111yescharacteristic
1591C2×C22⋊C4C22×D1111yescharacteristic
1592C2×C22⋊C4C22×D1111yescharacteristic
1593C2×C22⋊C4C22×D1111yescharacteristic
1594C2×C22⋊C4C22×D1111yescharacteristic
1595C2×C22⋊C4C22×D1111yescharacteristic
1596C2×C22⋊C4C22×D1111yescharacteristic
1597C2×C42—111no—
1598C2×C42—111no—
1599C2×C42—111no—
1600C2×C42—111no—
1601C2×C42—111no—
1602C2×C42—111no—
1603C2×C42—111no—
1604C2×C42C22×D1111yescharacteristic
1605C2×C11—42no—
1606C2×C11—42no—
1607C2×C11—42no—
1608C2×C11—42no—
1609C2×C11—42no—
1610C2×C11—42no—
1611C2×C11#354214yescomplemented
1612C2×C11C22×H(5,𝔽2)11yescharacteristic
1613C2×C11C22×H(5,𝔽2)11yescharacteristic
1614C2×C11C2×#58511yescharacteristic
1615D11—24no—
1616D11—42no—
1617D11—42no—
1618D11—42no—
1619D11—42no—
1620C24—42no—
1621C24—42no—
1622C24—42no—
1623C24—111no—
1624C24—111no—
1625C24—111no—
1626C24—111no—
1627C24—111no—
1628C24—114no—
1629C24—114no—
1630C24—114no—
1631C24—114no—
1632C24—224no—
1633C24—224no—
1634C24—224no—
1635C24—442no—
1636C24—442no—
1637C24—442no—
1638C24—442no—
1639C24—442no—
1640C24—442no—
1641C24—442no—
1642C24—442no—
1643C24—442no—
1644C24C23×D1111yescharacteristic
1645C24C23×D1111yescharacteristic
1646C24C23×D1111yescharacteristic
1647C24C23×D1111yescharacteristic
1648C24C23×D1111yescharacteristic
1649C24C23×D1111yescharacteristic
1650C24C23×D1114yes—
1651#41—4416no—
1652#41—4416no—
1653#41—4416no—
1654#41—4416no—
1655#41—4416no—
1656C2×Q8—114no—
1657C2×Q8—114no—
1658C2×Q8—114no—
1659C2×Q8—114no—
1660C2×Q8—224no—
1661C2×Q8—442no—
1662C2×Q8—442no—
1663C2×Q8—442no—
1664C2×D4—42no—
1665C2×D4—42no—
1666C2×D4—42no—
1667C2×D4—42no—
1668C2×D4—42no—
1669C2×D4—42no—
1670C2×D4—42no—
1671C2×D4—42no—
1672C2×D4—42no—
1673C2×D4—42no—
1674C2×D4—42no—
1675C2×D4—42no—
1676C2×D4—114no—
1677C2×D4—114no—
1678C2×D4—114no—
1679C2×D4—114no—
1680C2×D4—114no—
1681C2×D4—114no—
1682C2×D4—114no—
1683C2×D4—114no—
1684C2×D4—114no—
1685C2×D4—114no—
1686C2×D4—114no—
1687C2×D4—114no—
1688C2×D4—114no—
1689C2×D4—114no—
1690C2×D4—114no—
1691C2×D4—114no—
1692C2×D4—114no—
1693C2×D4—114no—
1694C2×D4—114no—
1695C2×D4—114no—
1696C2×D4—114no—
1697C2×D4—114no—
1698C2×D4—114no—
1699C2×D4—114no—
1700C2×D4—114no—
1701C2×D4—114no—
1702C2×D4—114no—
1703C2×D4—114no—
1704C2×D4—224no—
1705C2×D4—224no—
1706C2×D4—224no—
1707C2×D4—224no—
1708C2×D4—224no—
1709C2×D4—224no—
1710C2×D4—224no—
1711C2×D4—442no—
1712C2×D4—442no—
1713C2×D4—442no—
1714C2×D4—442no—
1715C2×D4—442no—
1716C2×D4—4416no—
1717C2×D4—4416no—
1718C2×D4—4416no—
1719C2×D4—4416no—
1720C2×D4—442no—
1721C2×D4—442no—
1722C2×D4—442no—
1723C2×D4—442no—
1724C2×D4—442no—
1725C2×D4—442no—
1726C2×D4—442no—
1727C2×D4—442no—
1728C2×D4—442no—
1729C2×D4—442no—
1730C2×D4—442no—
1731C2×D4—442no—
1732C2×D4—442no—
1733C2×D4—442no—
1734C2×D4—442no—
1735C2×D4—442no—
1736C2×D4—4416no—
1737C2×D4—4416no—
1738C2×D4C23×D1114yes—
1739C2×D4C23×D1114yes—
1740C2×D4C23×D1114yes—
1741C2×D4C23×D1114yes—
1742C2×D4C23×D1114yes—
1743C2×D4C23×D1114yes—
1744C2×D4C23×D1114yes—
1745C2×D4C23×D1114yes—
1746C2×D4C23×D1114yes—
1747C2×D4C23×D1114yes—
1748C2×D4C23×D1114yes—
1749C2×D4C23×D1114yes—
1750C22×C4—42no—
1751C22×C4—42no—
1752C22×C4—42no—
1753C22×C4—111no—
1754C22×C4—114no—
1755C22×C4—114no—
1756C22×C4—114no—
1757C22×C4—111no—
1758C22×C4—111no—
1759C22×C4—111no—
1760C22×C4—111no—
1761C22×C4—111no—
1762C22×C4—111no—
1763C22×C4—111no—
1764C22×C4—111no—
1765C22×C4—111no—
1766C22×C4—111no—
1767C22×C4—114no—
1768C22×C4—114no—
1769C22×C4—114no—
1770C22×C4—114no—
1771C22×C4—114no—
1772C22×C4—114no—
1773C22×C4—114no—
1774C22×C4—114no—
1775C22×C4—114no—
1776C22×C4—114no—
1777C22×C4—114no—
1778C22×C4—114no—
1779C22×C4—114no—
1780C22×C4—114no—
1781C22×C4—114no—
1782C22×C4—114no—
1783C22×C4—224no—
1784C22×C4—224no—
1785C22×C4—224no—
1786C22×C4—224no—
1787C22×C4—224no—
1788C22×C4—224no—
1789C22×C4—224no—
1790C22×C4—442no—
1791C22×C4—442no—
1792C22×C4—442no—
1793C22×C4—442no—
1794C22×C4—442no—
1795C22×C4—442no—
1796C22×C4—442no—
1797C22×C4—4416no—
1798C22×C4—442no—
1799C22×C4—442no—
1800C22×C4—442no—
1801C22×C4—442no—
1802C22×C4—442no—
1803C22×C4C23×D1111yescharacteristic
1804C22×C4C23×D1111yescharacteristic
1805C22×C4C23×D1111yescharacteristic
1806C22×C4C23×D1111yescharacteristic
1807C22×C4C23×D1111yescharacteristic
1808C22×C4C23×D1111yescharacteristic
1809C22×C4C23×D1111yescharacteristic
1810C22×C4C23×D1111yescharacteristic
1811C22×C4C23×D1111yescharacteristic
1812C22×C4C23×D1114yes—
1813C22×C4C23×D1114yes—
1814C22×C4C23×D1114yes—
1815C4⋊C4—114no—
1816C4⋊C4—114no—
1817C4⋊C4—114no—
1818C4⋊C4—114no—
1819C4⋊C4—114no—
1820C4⋊C4—114no—
1821C4⋊C4—114no—
1822C4⋊C4—114no—
1823C4⋊C4—114no—
1824C4⋊C4—114no—
1825C4⋊C4—114no—
1826C4⋊C4—114no—
1827C4⋊C4—114no—
1828C4⋊C4—114no—
1829C4⋊C4—114no—
1830C4⋊C4—114no—
1831C4⋊C4—114no—
1832C4⋊C4—114no—
1833C4⋊C4—114no—
1834C4⋊C4—114no—
1835C4⋊C4—114no—
1836C4⋊C4—114no—
1837C4⋊C4C23×D1114yes—
1838C4⋊C4C23×D1114yes—
1839C4⋊C4C23×D1114yes—
1840C4⋊C4C23×D1114yes—
1841C4⋊C4C23×D1114yes—
1842C4⋊C4C23×D1114yes—
1843C22⋊C4—114no—
1844C22⋊C4—114no—
1845C22⋊C4—114no—
1846C22⋊C4—114no—
1847C22⋊C4—114no—
1848C22⋊C4—114no—
1849C22⋊C4—114no—
1850C22⋊C4—114no—
1851C22⋊C4—114no—
1852C22⋊C4—114no—
1853C22⋊C4—114no—
1854C22⋊C4—114no—
1855C22⋊C4—114no—
1856C22⋊C4—114no—
1857C22⋊C4—114no—
1858C22⋊C4—114no—
1859C22⋊C4—114no—
1860C22⋊C4—114no—
1861C22⋊C4—114no—
1862C22⋊C4—114no—
1863C22⋊C4—114no—
1864C22⋊C4—114no—
1865C22⋊C4—114no—
1866C22⋊C4—114no—
1867C22⋊C4—114no—
1868C22⋊C4—114no—
1869C22⋊C4—114no—
1870C22⋊C4—114no—
1871C22⋊C4—114no—
1872C22⋊C4—114no—
1873C22⋊C4—114no—
1874C22⋊C4—114no—
1875C22⋊C4—114no—
1876C22⋊C4—114no—
1877C22⋊C4—114no—
1878C22⋊C4—114no—
1879C22⋊C4C23×D1114yes—
1880C22⋊C4C23×D1114yes—
1881C22⋊C4C23×D1114yes—
1882C22⋊C4C23×D1114yes—
1883C22⋊C4C23×D1114yes—
1884C22⋊C4C23×D1114yes—
1885C22⋊C4C23×D1114yes—
1886C22⋊C4C23×D1114yes—
1887C22⋊C4C23×D1114yes—
1888C22⋊C4C23×D1114yes—
1889C22⋊C4C23×D1114yes—
1890C22⋊C4C23×D1114yes—
1891C42—114no—
1892C42—114no—
1893C42—114no—
1894C42—114no—
1895C42—114no—
1896C42—114no—
1897C42—114no—
1898C42C23×D1114yes—
1899C11C2×#354211yescharacteristic, complemented, Sylow
1900C23—22no—
1901C23—22no—
1902C23—22no—
1903C23—22no—
1904C23—22no—
1905C23—22no—
1906C23—22no—
1907C23—22no—
1908C23—22no—
1909C23—22no—
1910C23—22no—
1911C23—22no—
1912C23—22no—
1913C23—22no—
1914C23—22no—
1915C23—22no—
1916C23—22no—
1917C23—22no—
1918C23—44no—
1919C23—44no—
1920C23—44no—
1921C23—88no—
1922C23—114no—
1923C23—112no—
1924C23—112no—
1925C23—112no—
1926C23—112no—
1927C23—112no—
1928C23—228no—
1929C23—228no—
1930C23—228no—
1931C23—222no—
1932C23—222no—
1933C23—222no—
1934C23—222no—
1935C23—222no—
1936C23—222no—
1937C23—222no—
1938C23—222no—
1939C23—222no—
1940C23—222no—
1941C23—222no—
1942C23—222no—
1943C23—222no—
1944C23—222no—
1945C23—444no—
1946C23—444no—
1947C23—444no—
1948C23—444no—
1949C23—444no—
1950C23—444no—
1951C23—444no—
1952C23—444no—
1953C23—444no—
1954C23—4416no—
1955C23—888no—
1956C23—888no—
1957C23—888no—
1958C23C24×D1112yes—
1959C23C24×D1112yes—
1960C23C24×D1112yes—
1961C23C24×D1112yes—
1962C23C24×D1112yes—
1963C23C24×D1112yes—
1964C23C24×D1111yescharacteristic
1965Q8—228no—
1966Q8—444no—
1967Q8—444no—
1968Q8—444no—
1969D4—44no—
1970D4—44no—
1971D4—44no—
1972D4—44no—
1973D4—44no—
1974D4—44no—
1975D4—44no—
1976D4—44no—
1977D4—44no—
1978D4—44no—
1979D4—44no—
1980D4—44no—
1981D4—228no—
1982D4—228no—
1983D4—228no—
1984D4—228no—
1985D4—228no—
1986D4—228no—
1987D4—228no—
1988D4—444no—
1989D4—444no—
1990D4—444no—
1991D4—444no—
1992D4—444no—
1993D4—444no—
1994D4—444no—
1995D4—444no—
1996D4—444no—
1997D4—444no—
1998D4—444no—
1999D4—444no—
2000D4—444no—
2001D4—444no—
2002D4—444no—
2003D4—444no—
2004D4—444no—
2005D4—444no—
2006D4—444no—
2007D4—444no—
2008D4—444no—
2009C2×C4—22no—
2010C2×C4—22no—
2011C2×C4—22no—
2012C2×C4—22no—
2013C2×C4—22no—
2014C2×C4—22no—
2015C2×C4—22no—
2016C2×C4—22no—
2017C2×C4—22no—
2018C2×C4—44no—
2019C2×C4—44no—
2020C2×C4—44no—
2021C2×C4—114no—
2022C2×C4—112no—
2023C2×C4—112no—
2024C2×C4—112no—
2025C2×C4—112no—
2026C2×C4—112no—
2027C2×C4—112no—
2028C2×C4—112no—
2029C2×C4—112no—
2030C2×C4—112no—
2031C2×C4—112no—
2032C2×C4—112no—
2033C2×C4—228no—
2034C2×C4—228no—
2035C2×C4—228no—
2036C2×C4—228no—
2037C2×C4—228no—
2038C2×C4—228no—
2039C2×C4—228no—
2040C2×C4—222no—
2041C2×C4—222no—
2042C2×C4—222no—
2043C2×C4—222no—
2044C2×C4—222no—
2045C2×C4—222no—
2046C2×C4—222no—
2047C2×C4—222no—
2048C2×C4—222no—
2049C2×C4—222no—
2050C2×C4—444no—
2051C2×C4—444no—
2052C2×C4—444no—
2053C2×C4—444no—
2054C2×C4—444no—
2055C2×C4—444no—
2056C2×C4—444no—
2057C2×C4—444no—
2058C2×C4—444no—
2059C2×C4—444no—
2060C2×C4—444no—
2061C2×C4—444no—
2062C2×C4C24×D1112yes—
2063C2×C4C24×D1112yes—
2064C2×C4C24×D1112yes—
2065C2×C4C24×D1112yes—
2066C2×C4C24×D1112yes—
2067C2×C4C24×D1112yes—
2068C2×C4C24×D1112yes—
2069C2×C4C24×D1112yes—
2070C2×C4C24×D1112yes—
2071C22—22no—
2072C22—22no—
2073C22—22no—
2074C22—22no—
2075C22—22no—
2076C22—22no—
2077C22—22no—
2078C22—22no—
2079C22—22no—
2080C22—22no—
2081C22—22no—
2082C22—22no—
2083C22—22no—
2084C22—22no—
2085C22—22no—
2086C22—22no—
2087C22—22no—
2088C22—22no—
2089C22—44no—
2090C22—44no—
2091C22—44no—
2092C22—44no—
2093C22—44no—
2094C22—44no—
2095C22—88no—
2096C22—114no—
2097C22—222no—
2098C22—222no—
2099C22—228no—
2100C22—222no—
2101C22—222no—
2102C22—222no—
2103C22—222no—
2104C22—222no—
2105C22—222no—
2106C22—222no—
2107C22—222no—
2108C22—222no—
2109C22—222no—
2110C22—222no—
2111C22—222no—
2112C22—4416no—
2113C22—444no—
2114C22—444no—
2115C22—444no—
2116C22—444no—
2117C22—888no—
2118C22—888no—
2119C22—888no—
2120C22D11×H(5,𝔽2)12yes—
2121C22D11×H(5,𝔽2)12yes—
2122C22#1062345512yes—
2123C22C25×D1111yescharacteristic
2124C4—22no—
2125C4—22no—
2126C4—22no—
2127C4—22no—
2128C4—22no—
2129C4—22no—
2130C4—22no—
2131C4—22no—
2132C4—22no—
2133C4—114no—
2134C4—222no—
2135C4—222no—
2136C4—222no—
2137C4—222no—
2138C4—222no—
2139C4—222no—
2140C4—222no—
2141C4—222no—
2142C4—222no—
2143C4—222no—
2144C2—42no—
2145C2—42no—
2146C2—42no—
2147C2—42no—
2148C2—42no—
2149C2—42no—
2150C2—224no—
2151C2—442no—
2152C2—442no—
2153C2—442no—
2154C2—442no—
2155C2#1308292114yesdirect product factor
2156C2C2×D11×H(5,𝔽2)11yescharacteristic
2157C2C2×D11×H(5,𝔽2)11yescharacteristic
2158C2C2×#1062345511yescharacteristic
subgroupG/H
centerC23C24×D11
commutator, cosocleC22×C11C26
FrattiniC22C25×D11
FittingC2×C11×#560C2
socleC23×C11C25
hypercenterC2×#560D11
hypocenterC11C2×#3542
LCSG ▷ C22×C11 ▷ C11
UCSC1 ◁ C23 ◁ C2×#560

Complements

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

NH ≅ G/Ntype
1. #13082921C2direct (N × H)
2. C2×#10623198C2semidirect
3. C2×#10623152C2semidirect
4. C2×#10623151C2semidirect
5. C2×#10623147C2semidirect
6. C2×#10623132C2semidirect
7. C2×#10623239C2semidirect
8. C2×#10623236C2semidirect
9. C2×#10623189C2semidirect
10. C2×#10623249C2semidirect
11. C2×#10623186C2semidirect
12. C2×#10623143C2semidirect
13. C2×#10623141C2semidirect
14. C2×#10623122C2semidirect
15. C2×#10623122C2semidirect
16. C2×#10623121C2semidirect
17. C2×#10623241C2semidirect
18. C2×#10623150C2semidirect
19. C2×#10623194C2semidirect
20. C2×#10623194C2semidirect
21. C2×#10623235C2semidirect
22. C2×#10623124C2semidirect
23. C2×#10623128C2semidirect
24. C2×#10623138C2semidirect
25. C2×#10623123C2semidirect
26. C2×#10623246C2semidirect
27. C2×#10623120C2semidirect
28. C2×#10623136C2semidirect
29. C2×#10623137C2semidirect
30. C2×#10623187C2semidirect
31. C2×D11×#121C2semidirect
32. C2×C11×#560C2semidirect
34. C23×C22⋊D11C22semidirect
35. C22×#4341C22semidirect
36. C22×#4341C22semidirect
37. C22×#4341C22semidirect
38. C22×#4341C22semidirect
41. C22×D4×D11C22semidirect
42. C22×D4×D11C22semidirect
43. C22×#4339C22semidirect
44. C23×C4×D11C22semidirect
45. C11×#560C22semidirect
46. C2×C11×#127C22semidirect
47. C2×C11×#126C22semidirect
48. C2×C11×#126C22semidirect
49. C2×C11×#123C22semidirect
50. C2×C11×#123C22semidirect
51. C2×C11×#123C22semidirect
52. C2×C11×#121C22semidirect
53. C2×C11×#121C22semidirect
54. C2×C11×#121C22semidirect
55. C2×C11×#121C22semidirect
56. C2×C11×#121C22semidirect
57. C2×C11×#121C22semidirect
58. C2×C11×#120C22semidirect
59. C2×C11×#120C22semidirect
60. C2×C11×#120C22semidirect
61. C2×#67006C22semidirect
62. C22×C22⋊Dic11C22semidirect
63. C2×#66993C22semidirect
64. C2×#66993C22semidirect
65. C2×#66993C22semidirect
66. C2×#66993C22semidirect
68. C2×#66992C22semidirect
69. C2×#66992C22semidirect
70. C2×#66992C22semidirect
71. C2×#66992C22semidirect
72. C2×#66992C22semidirect
73. C2×#66992C22semidirect
74. C2×#66992C22semidirect
75. C2×#66992C22semidirect
76. C2×#66992C22semidirect
77. C2×#66992C22semidirect
78. C2×#66992C22semidirect
79. C2×#66992C22semidirect
80. C2×#66992C22semidirect
82. C2×#66991C22semidirect
83. C2×#66991C22semidirect
84. C2×#66991C22semidirect
85. C2×#66991C22semidirect
86. C2×#66991C22semidirect
89. C2×#66990C22semidirect
90. C2×#66990C22semidirect
91. C2×#66990C22semidirect
92. C2×#66990C22semidirect
93. C2×#66990C22semidirect
94. C2×#66990C22semidirect
95. C2×#66989C22semidirect
96. C2×#66989C22semidirect
97. C2×#66988C22semidirect
98. C2×#66988C22semidirect
99. C2×D4×Dic11C22semidirect
100. C2×D4×Dic11C22semidirect
101. C2×D4×Dic11C22semidirect
102. C2×D4×Dic11C22semidirect
103. C2×#66983C22semidirect
104. C2×#66983C22semidirect
105. C2×#66983C22semidirect
106. C2×#66982C22semidirect
107. C2×C4×C22⋊D11C22semidirect
108. C2×C4×C22⋊D11C22semidirect
109. C22×(C2×D11)⋊C4C22semidirect
110. C2×#66979C22semidirect
111. C2×#66977C22semidirect
112. C22×Dic11⋊C4C22semidirect
113. #10623249C22semidirect
114. #10623246C22semidirect
115. #10623241C22semidirect
116. #10623239C22semidirect
117. #10623236C22semidirect
118. #10623235C22semidirect
119. #10623198C22semidirect
120. #10623194C22semidirect
121. #10623194C22semidirect
122. #10623189C22semidirect
123. #10623187C22semidirect
124. #10623186C22semidirect
125. #10623152C22semidirect
126. #10623151C22semidirect
127. #10623150C22semidirect
128. #10623147C22semidirect
129. #10623143C22semidirect
130. #10623141C22semidirect
131. #10623138C22semidirect
132. #10623137C22semidirect
133. #10623136C22semidirect
134. D11×#121C22semidirect
135. #10623132C22semidirect
136. #10623128C22semidirect
137. #10623124C22semidirect
138. #10623123C22semidirect
139. #10623122C22semidirect
140. #10623122C22semidirect
141. #10623121C22semidirect
142. #10623120C22semidirect
143. C2×#66951C22semidirect
144. C2×#66951C22semidirect
145. C2×#66950C22semidirect
146. C2×#66950C22semidirect
147. C2×#66949C22semidirect
148. C2×#66949C22semidirect
149. C2×#66949C22semidirect
150. C2×#66949C22semidirect
151. C2×#66948C22semidirect
152. C2×#66948C22semidirect
153. C2×#66947C22semidirect
154. C2×#66947C22semidirect
155. C2×#66947C22semidirect
156. C2×#66947C22semidirect
157. C2×#66946C22semidirect
158. C2×#66946C22semidirect
159. C2×#66945C22semidirect
160. C2×#66945C22semidirect
161. C2×#66945C22semidirect
162. C2×C4⋊C4×D11C22semidirect
163. C2×#66943C22semidirect
164. C2×#66942C22semidirect
165. C2×#66942C22semidirect
166. C2×#66941C22semidirect
167. C2×#66939C22semidirect
168. C2×#66939C22semidirect
169. C2×#66939C22semidirect
170. C2×#66939C22semidirect
171. C2×#66938C22semidirect
172. C2×#66938C22semidirect
173. C2×#66938C22semidirect
174. C2×#66938C22semidirect
175. C2×#66938C22semidirect
176. C2×#66938C22semidirect
179. C2×#66937C22semidirect
180. C2×#66937C22semidirect
181. C2×#66937C22semidirect
182. C2×#66937C22semidirect
183. C2×#66937C22semidirect
184. C2×#66937C22semidirect
187. C2×#66936C22semidirect
188. C2×#66936C22semidirect
189. C2×#66936C22semidirect
190. C2×#66936C22semidirect
191. C2×#66936C22semidirect
192. C2×#66936C22semidirect
194. C2×#66935C22semidirect
195. C2×#66935C22semidirect
196. C2×#66935C22semidirect
198. C2×(C22⋊D11)⋊C4C22semidirect
199. C2×(C22⋊D11)⋊C4C22semidirect
200. C2×(C22⋊D11)⋊C4C22semidirect
201. C2×(C22⋊D11)⋊C4C22semidirect
202. C2×(C22⋊D11)⋊C4C22semidirect
203. C2×C22⋊C4×D11C22semidirect
204. C2×C22⋊C4×D11C22semidirect
205. C2×C22⋊C4×D11C22semidirect
206. C2×C22⋊C4×D11C22semidirect
207. C2×#66932C22semidirect
208. C2×#66932C22semidirect
209. C2×#66931C22semidirect
210. C2×#66931C22semidirect
211. C2×#66931C22semidirect
212. C2×#66931C22semidirect
213. C2×#66930C22semidirect
214. C2×#66930C22semidirect
215. C2×#66928C22semidirect
216. C2×C4×D44C22semidirect
217. C2×#66925C22semidirect
218. C2×C4×Dic22C22semidirect
264. C22×C22⋊D11C23semidirect
277. C2×#4341C23semidirect
278. C2×#4341C23semidirect
279. C2×#4341C23semidirect
280. C2×#4341C23semidirect
287. C2×D4×D11C23semidirect
288. C2×D4×D11C23semidirect
290. C2×#4339C23semidirect
309. C22×C4×D11C23semidirect
314. C11×#127C23semidirect
315. C11×#126C23semidirect
316. C11×#126C23semidirect
317. C11×#123C23semidirect
318. C11×#123C23semidirect
319. C11×#123C23semidirect
320. C11×#121C23semidirect
321. C11×#121C23semidirect
322. C11×#121C23semidirect
323. C11×#121C23semidirect
324. C11×#121C23semidirect
325. C11×#121C23semidirect
326. C11×#120C23semidirect
327. C11×#120C23semidirect
328. C11×#120C23semidirect
348. #67006C23semidirect
363. C2×C22⋊Dic11C23semidirect
364. #66993C23semidirect
365. #66993C23semidirect
366. #66993C23semidirect
367. #66993C23semidirect
369. #66992C23semidirect
370. #66992C23semidirect
371. #66992C23semidirect
372. #66992C23semidirect
373. #66992C23semidirect
374. #66992C23semidirect
375. #66992C23semidirect
376. #66992C23semidirect
377. #66992C23semidirect
378. #66992C23semidirect
379. #66992C23semidirect
380. #66992C23semidirect
381. #66992C23semidirect
383. #66991C23semidirect
384. #66991C23semidirect
385. #66991C23semidirect
386. #66991C23semidirect
387. #66991C23semidirect
390. #66990C23semidirect
391. #66990C23semidirect
392. #66990C23semidirect
393. #66990C23semidirect
394. #66990C23semidirect
395. #66990C23semidirect
396. #66989C23semidirect
397. #66989C23semidirect
398. #66988C23semidirect
399. #66988C23semidirect
400. D4×Dic11C23semidirect
401. D4×Dic11C23semidirect
402. D4×Dic11C23semidirect
403. D4×Dic11C23semidirect
404. #66983C23semidirect
405. #66983C23semidirect
406. #66983C23semidirect
407. #66982C23semidirect
408. C4×C22⋊D11C23semidirect
409. C4×C22⋊D11C23semidirect
432. C2×(C2×D11)⋊C4C23semidirect
433. #66979C23semidirect
442. #66977C23semidirect
457. C2×Dic11⋊C4C23semidirect
465. #66951C23semidirect
466. #66951C23semidirect
467. #66950C23semidirect
468. #66950C23semidirect
469. #66949C23semidirect
470. #66949C23semidirect
471. #66949C23semidirect
472. #66949C23semidirect
473. #66948C23semidirect
474. #66948C23semidirect
475. #66947C23semidirect
476. #66947C23semidirect
477. #66947C23semidirect
478. #66947C23semidirect
479. #66946C23semidirect
480. #66946C23semidirect
481. #66945C23semidirect
482. #66945C23semidirect
483. #66945C23semidirect
484. C4⋊C4×D11C23semidirect
485. #66943C23semidirect
486. #66942C23semidirect
487. #66942C23semidirect
488. #66941C23semidirect
489. #66939C23semidirect
490. #66939C23semidirect
491. #66939C23semidirect
492. #66939C23semidirect
493. #66938C23semidirect
494. #66938C23semidirect
495. #66938C23semidirect
496. #66938C23semidirect
497. #66938C23semidirect
498. #66938C23semidirect
501. #66937C23semidirect
502. #66937C23semidirect
503. #66937C23semidirect
504. #66937C23semidirect
505. #66937C23semidirect
506. #66937C23semidirect
509. #66936C23semidirect
510. #66936C23semidirect
511. #66936C23semidirect
512. #66936C23semidirect
513. #66936C23semidirect
514. #66936C23semidirect
516. #66935C23semidirect
517. #66935C23semidirect
518. #66935C23semidirect
520. (C22⋊D11)⋊C4C23semidirect
521. (C22⋊D11)⋊C4C23semidirect
522. (C22⋊D11)⋊C4C23semidirect
523. (C22⋊D11)⋊C4C23semidirect
524. (C22⋊D11)⋊C4C23semidirect
525. C22⋊C4×D11C23semidirect
526. C22⋊C4×D11C23semidirect
527. C22⋊C4×D11C23semidirect
528. C22⋊C4×D11C23semidirect
529. #66932C23semidirect
530. #66932C23semidirect
531. #66931C23semidirect
532. #66931C23semidirect
533. #66931C23semidirect
534. #66931C23semidirect
535. #66930C23semidirect
536. #66930C23semidirect
537. #66928C23semidirect
538. C4×D44C23semidirect
539. #66925C23semidirect
540. C4×Dic22C23semidirect
825. C2×#560D11semidirect
1039. #560C2×D11semidirect
1069. C2×#127C2×D11semidirect
1074. C2×#126C2×D11semidirect
1075. C2×#126C2×D11semidirect
1109. C2×#123C2×D11semidirect
1110. C2×#123C2×D11semidirect
1111. C2×#123C2×D11semidirect
1157. C2×#121C2×D11semidirect
1158. C2×#121C2×D11semidirect
1159. C2×#121C2×D11semidirect
1160. C2×#121C2×D11semidirect
1161. C2×#121C2×D11semidirect
1162. C2×#121C2×D11semidirect
1176. C2×#120C2×D11semidirect
1177. C2×#120C2×D11semidirect
1178. C2×#120C2×D11semidirect
1383. #127C22×D11semidirect
1388. #126C22×D11semidirect
1389. #126C22×D11semidirect
1421. #123C22×D11semidirect
1422. #123C22×D11semidirect
1423. #123C22×D11semidirect
1468. #121C22×D11semidirect
1469. #121C22×D11semidirect
1470. #121C22×D11semidirect
1471. #121C22×D11semidirect
1472. #121C22×D11semidirect
1473. #121C22×D11semidirect
1487. #120C22×D11semidirect
1488. #120C22×D11semidirect
1489. #120C22×D11semidirect
1611. C2×C11#3542semidirect
1899. C11C2×#3542semidirect
2155. C2#13082921direct (N × H)

Maximal subgroups

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

subgroupindex
#130829212
C2×#106231982
C2×#106231522
C2×#106231512
C2×#106231472
C2×#106231322
C2×#106232392
C2×#106232362
C2×#106231892
C2×#106232492
C2×#106231862
C2×#106231432
C2×#106231412
C2×#106231222
C2×#106231212
C2×#106232412
C2×#106231502
C2×#106231942
C2×#106232352
C2×#106231242
C2×#106231282
C2×#106231382
C2×#106231232
C2×#106232462
C2×#106231202
C2×#106231362
C2×#106231372
C2×#106231872
C2×D11×#1212
C2×C11×#5602
C2×#354211