Finite Group Databasebeta

← C2×#13082927 #15660914

Subgroups — C2×#13082927 #15660914

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#13082927C2132yesmaximal, direct product factor
2C2×#10623198C211yesmaximal, characteristic, complemented
3C2×#10623152C211yesmaximal, characteristic, complemented
4C2×#10623126C211yesmaximal, characteristic, complemented
5C2×#10623151C211yesmaximal, characteristic, complemented
6C2×#10623147C211yesmaximal, characteristic, complemented
7C2×#10623192C211yesmaximal, characteristic, complemented
8C2×#10623181C211yesmaximal, characteristic, complemented
9C2×#10623026C211yesmaximal, characteristic, complemented
10C2×#10623189C211yesmaximal, characteristic, complemented
11C2×#10623130C211yesmaximal, characteristic, complemented
12C2×#10623186C211yesmaximal, characteristic, complemented
13C2×#10623337C211yesmaximal, characteristic, complemented
14C2×#10623185C211yesmaximal, characteristic, complemented
15C2×#10623021C211yesmaximal, characteristic, complemented
16C2×#10623122C211yesmaximal, characteristic, complemented
17C2×D4×C22⋊D11C211yesmaximal, characteristic, complemented
18C2×#10623193C211yesmaximal, characteristic, complemented
19C2×#10623150C211yesmaximal, characteristic, complemented
20C2×#10623194C211yesmaximal, characteristic, complemented
21C2×#10623146C211yesmaximal, characteristic, complemented
22C2×#10623124C211yesmaximal, characteristic, complemented
23C2×#10623144C211yesmaximal, characteristic, complemented
24C2×#10623139C211yesmaximal, characteristic, complemented
25C2×#10623336C211yesmaximal, characteristic, complemented
26C2×#10623123C211yesmaximal, characteristic, complemented
27C2×#10623123C211yesmaximal, characteristic, complemented
28C2×#10623120C211yesmaximal, characteristic, complemented
29C2×#10623117C211yesmaximal, characteristic, complemented
30C2×#10623117C211yesmaximal, characteristic, complemented
31C22×#66992C211yesmaximal, characteristic, complemented
32C2×C11×#534C211yesmaximal, characteristic, complemented
33C23×D4×C11C2211yescharacteristic
34C23×D4×C11C2211yescharacteristic, complemented
35C23×C22⋊D11C2211yescharacteristic
36C23×C22⋊D11C2211yescharacteristic, complemented
37C23×C22⋊D11C2211yescharacteristic, complemented
38C24×Dic11C2211yescharacteristic, complemented
39C22×#4341C2211yescharacteristic, complemented
40C22×#4341C2211yescharacteristic, complemented
41C22×#4341C2211yescharacteristic, complemented
42C22×D4×D11C2211yescharacteristic
43C22×#4339C2211yescharacteristic, complemented
44C22×#4339C2211yescharacteristic, complemented
45C11×#534C22116yescomplemented
46C2×C11×#123C2211yescharacteristic
47C2×C11×#123C2211yescharacteristic, complemented
48C2×C11×#123C2211yescharacteristic, complemented
49C2×C11×#123C2211yescharacteristic, complemented
50C2×C11×#121C2211yescharacteristic, complemented
51C2×C11×#121C2211yescharacteristic, complemented
52C2×C11×#121C2211yescharacteristic, complemented
53C2×C11×#121C2211yescharacteristic, complemented
54C2×C11×#120C2211yescharacteristic
55C2×C11×#120C2211yescharacteristic, complemented
56C2×C11×#120C2211yescharacteristic, complemented
57C2×C11×#120C2211yescharacteristic, complemented
58C22×C11×C22⋊C4C2211yescharacteristic, complemented
59C2×#67006C2211yescharacteristic
60C2×#67006C2211yescharacteristic, complemented
61C2×#67006C2211yescharacteristic, complemented
62C2×#67006C2211yescharacteristic, complemented
63C2×#67006C2211yescharacteristic, complemented
64C2×#67006C2211yescharacteristic, complemented
65C22×C22⋊Dic11C2211yescharacteristic, complemented
66C22×C22⋊Dic11C2211yescharacteristic, complemented
67#10623337C22116yescomplemented
68#10623336C22116yescomplemented
69C2×#66993C2211yescharacteristic, complemented
70C2×#66993C2211yescharacteristic, complemented
71C2×#66993C2211yescharacteristic, complemented
72C2×#66993C2211yescharacteristic, complemented
73C2×#66993C2211yescharacteristic, complemented
74C2×#66992C2211yescharacteristic
75C2×#66992C2211yescharacteristic
76C2×#66992C2211yescharacteristic
77C2×#66992C2211yescharacteristic
78C2×#66992C2211yescharacteristic, complemented
79C2×#66992C2211yescharacteristic, complemented
80C2×#66992C2211yescharacteristic, complemented
81C2×#66992C2211yescharacteristic, complemented
82C2×#66992C2211yescharacteristic, complemented
83C2×#66992C2211yescharacteristic, complemented
84C2×#66992C2211yescharacteristic, complemented
85C2×#66992C2211yescharacteristic, complemented
86C2×#66992C2211yescharacteristic, complemented
87C2×#66992C2211yescharacteristic, complemented
88C2×#66992C2211yescharacteristic, complemented
89C2×#66992C2211yescharacteristic, complemented
90C2×#66992C22116yescomplemented
91D4×C22⋊D11C22116yescomplemented
92C2×#66991C2211yescharacteristic, complemented
93C2×#66991C2211yescharacteristic, complemented
94C2×#66991C2211yescharacteristic, complemented
95C2×#66991C2211yescharacteristic, complemented
96C2×#66991C2211yescharacteristic, complemented
97C2×#66991C2211yescharacteristic, complemented
98C2×#66991C2211yescharacteristic, complemented
99C2×#66991C2211yescharacteristic, complemented
100C2×#66990C2211yescharacteristic
101C2×#66990C2211yescharacteristic, complemented
102C2×#66990C2211yescharacteristic, complemented
103C2×#66990C2211yescharacteristic, complemented
104C2×#66989C2211yescharacteristic, complemented
105C2×#66989C2211yescharacteristic, complemented
106C2×#66989C2211yescharacteristic, complemented
107C2×#66988C2211yescharacteristic
108C2×#66988C2211yescharacteristic, complemented
109C2×#66988C2211yescharacteristic, complemented
110C2×#66988C2211yescharacteristic, complemented
111C2×D4×Dic11C2211yescharacteristic
112C2×D4×Dic11C2211yescharacteristic, complemented
113C2×D4×Dic11C2211yescharacteristic, complemented
114C2×D4×Dic11C2211yescharacteristic, complemented
115C2×#66983C2211yescharacteristic, complemented
116C2×#66983C2211yescharacteristic, complemented
117C2×#66982C2211yescharacteristic, complemented
118C2×#66982C2211yescharacteristic, complemented
119C2×C4×C22⋊D11C2211yescharacteristic, complemented
120C2×C4×C22⋊D11C2211yescharacteristic, complemented
121C2×C4×C22⋊D11C2211yescharacteristic, complemented
122C2×C4×C22⋊D11C2211yescharacteristic, complemented
123C22×(C2×D11)⋊C4C2211yescharacteristic, complemented
124C2×#66979C2211yescharacteristic, complemented
125C2×#66979C2211yescharacteristic, complemented
126C2×#66977C2211yescharacteristic, complemented
127C2×#66977C2211yescharacteristic, complemented
128C22×Dic11⋊C4C2211yescharacteristic, complemented
129#10623198C22116yescomplemented
130#10623194C22116yescomplemented
131#10623193C22116yescomplemented
132#10623192C22116yescomplemented
133#10623189C22116yescomplemented
134#10623186C22116yescomplemented
135#10623185C22116yescomplemented
136#10623181C22116yescomplemented
137#10623152C22116yescomplemented
138#10623151C22116yescomplemented
139#10623150C22116yescomplemented
140#10623147C22116yescomplemented
141#10623146C22116yescomplemented
142#10623144C22116yescomplemented
143#10623139C22116yescomplemented
144#10623130C22116yescomplemented
145#10623126C22116yescomplemented
146#10623124C22116yescomplemented
147#10623123C22116yescomplemented
148#10623123C22116yescomplemented
149#10623122C22116yescomplemented
150#10623120C22116yescomplemented
151#10623117C22116yescomplemented
152#10623117C22116yescomplemented
153C2×#66951C2211yescharacteristic, complemented
154C2×#66951C2211yescharacteristic, complemented
155C2×#66950C2211yescharacteristic, complemented
156C2×#66949C2211yescharacteristic, complemented
157C2×#66949C2211yescharacteristic, complemented
158C2×#66948C2211yescharacteristic, complemented
159C2×#66947C2211yescharacteristic, complemented
160C2×#66947C2211yescharacteristic, complemented
161C2×#66946C2211yescharacteristic, complemented
162C2×#66945C2211yescharacteristic, complemented
163C2×C4⋊C4×D11C2211yescharacteristic, complemented
164C2×#66943C2211yescharacteristic, complemented
165C2×#66942C2211yescharacteristic, complemented
166C2×#66942C2211yescharacteristic, complemented
167C2×#66941C2211yescharacteristic, complemented
168C2×#66940C2211yescharacteristic, complemented
169#10623026C22116yescomplemented
170C2×#66939C2211yescharacteristic, complemented
171C2×#66939C2211yescharacteristic, complemented
172C2×#66939C2211yescharacteristic, complemented
173C2×#66939C2211yescharacteristic, complemented
174C2×#66938C2211yescharacteristic, complemented
175C2×#66938C2211yescharacteristic, complemented
176C2×#66938C2211yescharacteristic, complemented
177C2×#66938C2211yescharacteristic, complemented
178C2×#66938C2211yescharacteristic, complemented
179C2×#66938C2211yescharacteristic, complemented
180#10623021C22116yescomplemented
181C2×#66937C2211yescharacteristic, complemented
182C2×#66937C2211yescharacteristic, complemented
183C2×#66937C2211yescharacteristic, complemented
184C2×#66937C2211yescharacteristic, complemented
185C2×#66937C2211yescharacteristic, complemented
186C2×#66937C2211yescharacteristic, complemented
187C2×#66937C2211yescharacteristic, complemented
188C2×#66937C2211yescharacteristic, complemented
189C2×#66936C2211yescharacteristic, complemented
190C2×#66936C2211yescharacteristic, complemented
191C2×#66936C2211yescharacteristic, complemented
192C2×#66936C2211yescharacteristic, complemented
193C2×#66936C2211yescharacteristic, complemented
194C2×#66936C2211yescharacteristic, complemented
195C2×#66935C2211yescharacteristic, complemented
196C2×#66935C2211yescharacteristic, complemented
197C2×(C22⋊D11)⋊C4C2211yescharacteristic, complemented
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×#66932C2211yescharacteristic, complemented
206C2×#66932C2211yescharacteristic, complemented
207C2×#66932C2211yescharacteristic, complemented
208C2×#66932C2211yescharacteristic, complemented
209C2×#66931C2211yescharacteristic, complemented
210C2×#66931C2211yescharacteristic, complemented
211C2×#66931C2211yescharacteristic, complemented
212C2×#66931C2211yescharacteristic, complemented
213C2×#66931C2211yescharacteristic, complemented
214C2×#66931C2211yescharacteristic, complemented
215C2×#66930C2211yescharacteristic, complemented
216C2×#66930C2211yescharacteristic, complemented
217C2×#66930C2211yescharacteristic, complemented
218C2×#66930C2211yescharacteristic, complemented
219C25×C11C2311yescharacteristic
220C25×C11C2311yescharacteristic
221C25×C11C2311yescharacteristic
222C24×D11C2311yescharacteristic
223C24×D11C2311yescharacteristic
224C22×D4×C11—44no—
225C22×D4×C11—44no—
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
236C22×D4×C11C2311yescharacteristic
237C22×D4×C11C2311yescharacteristic
238C22×D4×C11C2318yes—
239C22×D4×C11C2318yescomplemented
240C23×C4×C11C2311yescharacteristic
241C23×C4×C11C2311yescharacteristic
242C23×C4×C11C2311yescharacteristic
243C23×C4×C11C2311yescharacteristic
244C22×C22⋊D11—44no—
245C22×C22⋊D11—44no—
246C22×C22⋊D11—44no—
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⋊D11C2311yescharacteristic
264C22×C22⋊D11C2311yescharacteristic
265C22×C22⋊D11C2311yescharacteristic
266C22×C22⋊D11C2311yescharacteristic
267C22×C22⋊D11C2318yes—
268C22×C22⋊D11C2311yescharacteristic
269C22×C22⋊D11C2311yescharacteristic
270C22×C22⋊D11C2311yescharacteristic
271C22×C22⋊D11C2311yescharacteristic
272C22×C22⋊D11C2318yescomplemented
273C22×C22⋊D11C2318yescomplemented
274C23×Dic11—44no—
275C23×Dic11C2311yescharacteristic
276C23×Dic11C2311yescharacteristic
277C23×Dic11C2311yescharacteristic
278C23×Dic11C2311yescharacteristic
279C23×Dic11C2311yescharacteristic
280C23×Dic11C2311yescharacteristic
281C23×Dic11C2311yescharacteristic
282C23×Dic11C2311yescharacteristic
283C23×Dic11C2311yescharacteristic
284C23×Dic11C2311yescharacteristic
285C23×Dic11C2318yescomplemented
286C2×#4341—44no—
287C2×#4341—44no—
288C2×#4341—44no—
289C2×#4341C2318yescomplemented
290C2×#4341C2318yescomplemented
291C2×#4341C2318yescomplemented
292C2×D4×D11—44no—
293C2×D4×D11C2318yes—
294C2×#4339—44no—
295C2×#4339—44no—
296C2×#4339C2318yescomplemented
297C2×#4339C2318yescomplemented
298C22×D44C2311yescharacteristic
299C22×D44C2311yescharacteristic
300C22×D44C2311yescharacteristic
301C22×D44C2311yescharacteristic
302C22×C4×D11C2311yescharacteristic
303C22×C4×D11C2311yescharacteristic
304C22×C4×D11C2311yescharacteristic
305C22×C4×D11C2311yescharacteristic
306C22×C4×D11C2311yescharacteristic
307C22×C4×D11C2311yescharacteristic
308C22×C4×D11C2311yescharacteristic
309C22×C4×D11C2311yescharacteristic
310C22×Dic22C2311yescharacteristic
311C22×Dic22C2311yescharacteristic
312C22×Dic22C2311yescharacteristic
313C22×Dic22C2311yescharacteristic
314C11×#123C2318yes—
315C11×#123C2318yescomplemented
316C11×#123C2318yescomplemented
317C11×#123C2318yescomplemented
318C11×#121C2318yescomplemented
319C11×#121C2318yescomplemented
320C11×#121C2318yescomplemented
321C11×#121C2318yescomplemented
322C11×#120C2318yes—
323C11×#120C2318yescomplemented
324C11×#120C2318yescomplemented
325C11×#120C2318yescomplemented
326C2×C11×C4⋊C4C2311yescharacteristic
327C2×C11×C4⋊C4C2311yescharacteristic
328C2×C11×C4⋊C4C2311yescharacteristic
329C2×C11×C4⋊C4C2311yescharacteristic
330C2×C11×C22⋊C4C2311yescharacteristic
331C2×C11×C22⋊C4C2311yescharacteristic
332C2×C11×C22⋊C4C2311yescharacteristic
333C2×C11×C22⋊C4C2311yescharacteristic
334C2×C11×C22⋊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⋊C4C2318yescomplemented
343#67006C2318yes—
344#67006C2318yescomplemented
345#67006C2318yescomplemented
346#67006C2318yescomplemented
347#67006C2318yescomplemented
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⋊Dic11C2311yescharacteristic
364C2×C22⋊Dic11C2311yescharacteristic
365C2×C22⋊Dic11C2311yescharacteristic
366C2×C22⋊Dic11C2311yescharacteristic
367C2×C22⋊Dic11C2311yescharacteristic
368C2×C22⋊Dic11C2311yescharacteristic
369C2×C22⋊Dic11C2318yescomplemented
370C2×C22⋊Dic11C2318yescomplemented
371#66993C2318yescomplemented
372#66993C2318yescomplemented
373#66993C2318yescomplemented
374#66993C2318yescomplemented
375#66993C2318yescomplemented
376#66992C2318yes—
377#66992C2318yes—
378#66992C2318yes—
379#66992C2318yes—
380#66992C2318yescomplemented
381#66992C2318yescomplemented
382#66992C2318yescomplemented
383#66992C2318yescomplemented
384#66992C2318yescomplemented
385#66992C2318yescomplemented
386#66992C2318yescomplemented
387#66992C2318yescomplemented
388#66992C2318yescomplemented
389#66992C2318yescomplemented
390#66992C2318yescomplemented
391#66992C2318yescomplemented
392#66991C2318yescomplemented
393#66991C2318yescomplemented
394#66991C2318yescomplemented
395#66991C2318yescomplemented
396#66991C2318yescomplemented
397#66991C2318yescomplemented
398#66991C2318yescomplemented
399#66991C2318yescomplemented
400#66990C2318yes—
401#66990C2318yescomplemented
402#66990C2318yescomplemented
403#66990C2318yescomplemented
404#66989C2318yescomplemented
405#66989C2318yescomplemented
406#66989C2318yescomplemented
407#66988C2318yes—
408#66988C2318yescomplemented
409#66988C2318yescomplemented
410#66988C2318yescomplemented
411D4×Dic11C2318yes—
412D4×Dic11C2318yescomplemented
413D4×Dic11C2318yescomplemented
414D4×Dic11C2318yescomplemented
415#66983C2318yescomplemented
416#66983C2318yescomplemented
417#66982C2318yescomplemented
418#66982C2318yescomplemented
419C4×C22⋊D11C2318yescomplemented
420C4×C22⋊D11C2318yescomplemented
421C4×C22⋊D11C2318yescomplemented
422C4×C22⋊D11C2318yescomplemented
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)⋊C4C2311yescharacteristic
433C2×(C2×D11)⋊C4C2311yescharacteristic
434C2×(C2×D11)⋊C4C2311yescharacteristic
435C2×(C2×D11)⋊C4C2311yescharacteristic
436C2×(C2×D11)⋊C4C2311yescharacteristic
437C2×(C2×D11)⋊C4C2311yescharacteristic
438C2×(C2×D11)⋊C4C2311yescharacteristic
439C2×(C2×D11)⋊C4C2318yescomplemented
440#66979C2318yescomplemented
441#66979C2318yescomplemented
442C2×C4⋊Dic11C2311yescharacteristic
443C2×C4⋊Dic11C2311yescharacteristic
444C2×C4⋊Dic11C2311yescharacteristic
445C2×C4⋊Dic11C2311yescharacteristic
446C2×C4⋊Dic11C2311yescharacteristic
447C2×C4⋊Dic11C2311yescharacteristic
448C2×C4⋊Dic11C2311yescharacteristic
449C2×C4⋊Dic11C2311yescharacteristic
450#66977C2318yescomplemented
451#66977C2318yescomplemented
452C2×Dic11⋊C4C2311yescharacteristic
453C2×Dic11⋊C4C2311yescharacteristic
454C2×Dic11⋊C4C2311yescharacteristic
455C2×Dic11⋊C4C2311yescharacteristic
456C2×Dic11⋊C4C2311yescharacteristic
457C2×Dic11⋊C4C2311yescharacteristic
458C2×Dic11⋊C4C2311yescharacteristic
459C2×Dic11⋊C4C2311yescharacteristic
460C2×Dic11⋊C4C2311yescharacteristic
461C2×Dic11⋊C4C2311yescharacteristic
462C2×Dic11⋊C4C2311yescharacteristic
463C2×Dic11⋊C4C2311yescharacteristic
464C2×Dic11⋊C4C2311yescharacteristic
465C2×Dic11⋊C4C2311yescharacteristic
466C2×Dic11⋊C4C2311yescharacteristic
467C2×Dic11⋊C4C2311yescharacteristic
468C2×Dic11⋊C4C2318yescomplemented
469C2×C4×Dic11C2311yescharacteristic
470C2×C4×Dic11C2311yescharacteristic
471C2×C4×Dic11C2311yescharacteristic
472C2×C4×Dic11C2311yescharacteristic
473C2×C4×Dic11C2311yescharacteristic
474C2×C4×Dic11C2311yescharacteristic
475C2×C4×Dic11C2311yescharacteristic
476C2×C4×Dic11C2311yescharacteristic
477#66951C2318yescomplemented
478#66951C2318yescomplemented
479#66950C2318yescomplemented
480#66949C2318yescomplemented
481#66949C2318yescomplemented
482#66948C2318yescomplemented
483#66947C2318yescomplemented
484#66947C2318yescomplemented
485#66946C2318yescomplemented
486#66945C2318yescomplemented
487C4⋊C4×D11C2318yescomplemented
488#66943C2318yescomplemented
489#66942C2318yescomplemented
490#66942C2318yescomplemented
491#66941C2318yescomplemented
492#66940C2318yescomplemented
493#66939C2318yescomplemented
494#66939C2318yescomplemented
495#66939C2318yescomplemented
496#66939C2318yescomplemented
497#66938C2318yescomplemented
498#66938C2318yescomplemented
499#66938C2318yescomplemented
500#66938C2318yescomplemented
501#66938C2318yescomplemented
502#66938C2318yescomplemented
503#66937C2318yescomplemented
504#66937C2318yescomplemented
505#66937C2318yescomplemented
506#66937C2318yescomplemented
507#66937C2318yescomplemented
508#66937C2318yescomplemented
509#66937C2318yescomplemented
510#66937C2318yescomplemented
511#66936C2318yescomplemented
512#66936C2318yescomplemented
513#66936C2318yescomplemented
514#66936C2318yescomplemented
515#66936C2318yescomplemented
516#66936C2318yescomplemented
517#66935C2318yescomplemented
518#66935C2318yescomplemented
519(C22⋊D11)⋊C4C2318yescomplemented
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
527#66932C2318yescomplemented
528#66932C2318yescomplemented
529#66932C2318yescomplemented
530#66932C2318yescomplemented
531#66931C2318yescomplemented
532#66931C2318yescomplemented
533#66931C2318yescomplemented
534#66931C2318yescomplemented
535#66931C2318yescomplemented
536#66931C2318yescomplemented
537#66930C2318yescomplemented
538#66930C2318yescomplemented
539#66930C2318yescomplemented
540#66930C2318yescomplemented
541C2×#3542—111nomaximal, Sylow
542C24×C11—24no—
543C24×C11—24no—
544C24×C11—42no—
545C24×C11—42no—
546C24×C11—42no—
547C24×C11—42no—
548C24×C11—42no—
549C24×C11—42no—
550C24×C11—42no—
551C24×C11C2411yescharacteristic
552C24×C11C2411yescharacteristic
553C24×C11C2411yescharacteristic
554C24×C11C2411yescharacteristic
555C24×C11C2411yescharacteristic
556C24×C11C2411yescharacteristic
557C24×C11C2411yescharacteristic
558C24×C11C2414yes—
559C24×C11C2414yes—
560C24×C11C2414yes—
561C23×D11—24no—
562C23×D11—42no—
563C23×D11—42no—
564C23×D11—42no—
565C23×D11—42no—
566C23×D11—42no—
567C23×D11C2411yescharacteristic
568C23×D11C2411yescharacteristic
569C23×D11C2411yescharacteristic
570C23×D11C2411yescharacteristic
571C23×D11C2414yes—
572C23×D11C2414yes—
573C2×D4×C11—24no—
574C2×D4×C11—24no—
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—416no—
584C2×D4×C11—42no—
585C2×D4×C11—42no—
586C2×D4×C11—416no—
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—
597C2×D4×C11C2414yes—
598C2×D4×C11C2414yes—
599C22×C4×C11—24no—
600C22×C4×C11—42no—
601C22×C4×C11—42no—
602C22×C4×C11—42no—
603C22×C4×C11C2411yescharacteristic
604C22×C4×C11C2411yescharacteristic
605C22×C4×C11C2411yescharacteristic
606C22×C4×C11C2411yescharacteristic
607C22×C4×C11C2411yescharacteristic
608C22×C4×C11C2411yescharacteristic
609C22×C4×C11C2411yescharacteristic
610C22×C4×C11C2411yescharacteristic
611C22×C4×C11C2414yes—
612C22×C4×C11C2414yes—
613C22×C4×C11C2414yes—
614C22×C4×C11C2414yes—
615C2×C22⋊D11—24no—
616C2×C22⋊D11—24no—
617C2×C22⋊D11—24no—
618C2×C22⋊D11—24no—
619C2×C22⋊D11—24no—
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—42no—
636C2×C22⋊D11—42no—
637C2×C22⋊D11—42no—
638C2×C22⋊D11—42no—
639C2×C22⋊D11—42no—
640C2×C22⋊D11—416no—
641C2×C22⋊D11—416no—
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—
658C2×C22⋊D11C2414yes—
659C2×C22⋊D11C2414yes—
660C2×C22⋊D11C2414yes—
661C2×C22⋊D11C2414yes—
662C2×C22⋊D11C2414yes—
663C2×C22⋊D11C2414yes—
664C2×C22⋊D11C2414yes—
665C2×C22⋊D11C2414yes—
666C22×Dic11—24no—
667C22×Dic11—24no—
668C22×Dic11—24no—
669C22×Dic11—24no—
670C22×Dic11—24no—
671C22×Dic11—42no—
672C22×Dic11—42no—
673C22×Dic11—42no—
674C22×Dic11—42no—
675C22×Dic11—42no—
676C22×Dic11—416no—
677C22×Dic11C2414yes—
678C22×Dic11C2414yes—
679C22×Dic11C2414yes—
680C22×Dic11C2414yes—
681C22×Dic11C2414yes—
682C22×Dic11C2411yescharacteristic
683C22×Dic11C2411yescharacteristic
684C22×Dic11C2411yescharacteristic
685C22×Dic11C2411yescharacteristic
686C22×Dic11C2411yescharacteristic
687C22×Dic11C2411yescharacteristic
688C22×Dic11C2411yescharacteristic
689C22×Dic11C2411yescharacteristic
690C22×Dic11C2411yescharacteristic
691C22×Dic11C2411yescharacteristic
692C22×Dic11C2411yescharacteristic
693C22×Dic11C2414yes—
694C22×Dic11C2414yes—
695C22×Dic11C2414yes—
696C22×Dic11C2414yes—
697C22×Dic11C2414yes—
698C22×Dic11C2411yescharacteristic
699#4341—416no—
700#4341—416no—
701#4341—416no—
702D4×D11—416no—
703#4339—416no—
704#4339—416no—
705C2×D44—42no—
706C2×D44—42no—
707C2×D44—42no—
708C2×D44—42no—
709C2×D44C2414yes—
710C2×D44C2414yes—
711C2×D44C2414yes—
712C2×D44C2414yes—
713C2×C4×D11—24no—
714C2×C4×D11—42no—
715C2×C4×D11—42no—
716C2×C4×D11—42no—
717C2×C4×D11—42no—
718C2×C4×D11—42no—
719C2×C4×D11—42no—
720C2×C4×D11—42no—
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×C22⋊C4C2414yes—
742C11×C22⋊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—
753C22⋊Dic11C2414yes—
754C22⋊Dic11C2414yes—
755C22⋊Dic11C2414yes—
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—
770C22⋊Dic11C2414yes—
771C22⋊Dic11C2414yes—
772C22⋊Dic11C2414yes—
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—
789C4⋊Dic11C2414yes—
790C4⋊Dic11C2414yes—
791C4⋊Dic11C2414yes—
792C4⋊Dic11C2414yes—
793C4⋊Dic11C2414yes—
794C4⋊Dic11C2414yes—
795C4⋊Dic11C2414yes—
796C4⋊Dic11C2414yes—
797Dic11⋊C4C2414yes—
798Dic11⋊C4C2414yes—
799Dic11⋊C4C2414yes—
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—
813C4×Dic11C2414yes—
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×#560—111no—
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×#534D1111yescharacteristic, complemented
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—28no—
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—22no—
872C23×C11—22no—
873C23×C11—22no—
874C23×C11—28no—
875C23×C11—44no—
876C23×C11—44no—
877C23×C11—44no—
878C23×C11—44no—
879C23×C11—44no—
880C23×C11—44no—
881C23×C11—44no—
882C23×C11—416no—
883C23×C11—88no—
884C23×C11—88no—
885C23×C11H(5,𝔽2)14yes—
886C23×C11C2512yes—
887C23×C11C2512yes—
888C23×C11C2512yes—
889C23×C11C2512yes—
890C23×C11C2512yes—
891C23×C11C2512yes—
892C23×C11C2512yes—
893C23×C11C2511yescharacteristic
894C22×D11—22no—
895C22×D11—22no—
896C22×D11—22no—
897C22×D11—22no—
898C22×D11—22no—
899C22×D11—22no—
900C22×D11—22no—
901C22×D11—22no—
902C22×D11—22no—
903C22×D11—22no—
904C22×D11—22no—
905C22×D11—22no—
906C22×D11—28no—
907C22×D11—44no—
908C22×D11—44no—
909C22×D11—44no—
910C22×D11—44no—
911C22×D11—44no—
912C22×D11—88no—
913C22×D11—88no—
914C22×D11C2512yes—
915C22×D11C2512yes—
916C22×D11C2512yes—
917C22×D11C2512yes—
918D4×C11—28no—
919D4×C11—28no—
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—28no—
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—
950C22⋊D11—28no—
951C22⋊D11—28no—
952C22⋊D11—28no—
953C22⋊D11—28no—
954C22⋊D11—28no—
955C22⋊D11—44no—
956C22⋊D11—44no—
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—
973C22⋊D11—44no—
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—28no—
983C2×Dic11—22no—
984C2×Dic11—22no—
985C2×Dic11—22no—
986C2×Dic11—28no—
987C2×Dic11—28no—
988C2×Dic11—28no—
989C2×Dic11—28no—
990C2×Dic11—44no—
991C2×Dic11—44no—
992C2×Dic11—44no—
993C2×Dic11—44no—
994C2×Dic11—44no—
995C2×Dic11H(5,𝔽2)14yes—
996C2×Dic11C2512yes—
997C2×Dic11C2512yes—
998C2×Dic11C2512yes—
999C2×Dic11C2512yes—
1000C2×Dic11C2512yes—
1001C2×Dic11C2512yes—
1002C2×Dic11C2512yes—
1003C2×Dic11C2512yes—
1004C2×Dic11C2512yes—
1005C2×Dic11C2512yes—
1006C2×Dic11C2512yes—
1007C2×Dic11C2512yes—
1008D44—44no—
1009D44—44no—
1010D44—44no—
1011D44—44no—
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×D4C2×D1111yescharacteristic
1034C23×D4C2×D1111yescharacteristic, complemented
1035C24×C4—111no—
1036#562—1116no—
1037#562—1116no—
1038#560—1116no—
1039#560—1116no—
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#534C2×D11116yescomplemented
1064C2×C4⋊Q8—111no—
1065C2×#127—111no—
1066C2×#127—111no—
1067C2×#127—111no—
1068C2×#127—111no—
1069C2×#127—111no—
1070C2×#126—111no—
1071C2×#126—111no—
1072C2×#126—111no—
1073C2×#126—111no—
1074C2×#126—111no—
1075C2×#126—111no—
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×#123C2×D1111yescharacteristic
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—111no—
1147C2×#121—1116no—
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×#121—111no—
1158C2×#121—111no—
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×#120C2×D1111yescharacteristic
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⋊C4C2×D1111yescharacteristic, complemented
1210C22×C11—22no—
1211C22×C11—22no—
1212C22×C11—28no—
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—22no—
1229C22×C11—22no—
1230C22×C11—22no—
1231C22×C11—416no—
1232C22×C11—44no—
1233C22×C11—44no—
1234C22×C11—44no—
1235C22×C11—44no—
1236C22×C11—44no—
1237C22×C11—44no—
1238C22×C11—88no—
1239C22×C11—88no—
1240C22×C11C2×H(5,𝔽2)14yes—
1241C22×C11C2×H(5,𝔽2)12yes—
1242C22×C11C2×H(5,𝔽2)12yes—
1243C22×C11#58512yes—
1244C22×C11C2611yescharacteristic
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—22no—
1255C2×D11—22no—
1256C2×D11—22no—
1257C2×D11—44no—
1258C2×D11—44no—
1259C2×D11—44no—
1260C2×D11—44no—
1261C2×D11—88no—
1262C2×D11—88no—
1263C4×C11—22no—
1264C4×C11—22no—
1265C4×C11—22no—
1266C4×C11—22no—
1267C4×C11—22no—
1268C4×C11—22no—
1269C4×C11—22no—
1270C4×C11—22no—
1271Dic11—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—
1285C25C22×D1111yescharacteristic
1286C25C22×D1111yescharacteristic
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—44no—
1303C22×D4—44no—
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—111no—
1325C22×D4—111no—
1326C22×D4—111no—
1327C22×D4—111no—
1328C22×D4—118no—
1329C22×D4—118no—
1330C22×D4—118no—
1331C22×D4—118no—
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×D4C22×D1111yescharacteristic
1341C22×D4C22×D1111yescharacteristic
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×D1118yes—
1353C22×D4C22×D1118yescomplemented
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—118no—
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—444no—
1374C23×C4C22×D1111yescharacteristic
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#127—118no—
1384#126—118no—
1385#126—118no—
1386#126—118no—
1387#126—118no—
1388#126—118no—
1389#126—118no—
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#123C22×D1118yes—
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#121—118no—
1469#121—118no—
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#120C22×D1118yes—
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—118no—
1519C2×C4⋊C4—111no—
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—111no—
1537C2×C4⋊C4—111no—
1538C2×C4⋊C4—118no—
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—111no—
1550C2×C22⋊C4—111no—
1551C2×C22⋊C4—118no—
1552C2×C22⋊C4—118no—
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—111no—
1569C2×C22⋊C4—111no—
1570C2×C22⋊C4—111no—
1571C2×C22⋊C4—111no—
1572C2×C22⋊C4—118no—
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—111no—
1582C2×C22⋊C4—118no—
1583C2×C22⋊C4—118no—
1584C2×C22⋊C4C22×D1111yescharacteristic
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×D1118yescomplemented
1597C2×C42—111no—
1598C2×C42—111no—
1599C2×C42—111no—
1600C2×C42—111no—
1601C2×C42—111no—
1602C2×C42—111no—
1603C2×C42—111no—
1604C2×C42—111no—
1605C2×C11—24no—
1606C2×C11—42no—
1607C2×C11—42no—
1608C2×C11—42no—
1609C2×C11—42no—
1610C2×C11—42no—
1611C2×C11—42no—
1612C2×C11#354214yescomplemented
1613C2×C11C22×H(5,𝔽2)11yescharacteristic
1614C2×C11C22×H(5,𝔽2)11yescharacteristic
1615C2×C11C2×#58511yescharacteristic
1616D11—42no—
1617D11—42no—
1618D11—42no—
1619D11—42no—
1620C24—24no—
1621C24—24no—
1622C24—42no—
1623C24—42no—
1624C24—42no—
1625C24—42no—
1626C24—42no—
1627C24—42no—
1628C24—42no—
1629C24—111no—
1630C24—111no—
1631C24—111no—
1632C24—111no—
1633C24—114no—
1634C24—114no—
1635C24—224no—
1636C24—442no—
1637C24—442no—
1638C24—442no—
1639C24—442no—
1640C24—442no—
1641C24C23×D1111yescharacteristic
1642C24C23×D1111yescharacteristic
1643C24C23×D1111yescharacteristic
1644C24C23×D1111yescharacteristic
1645C24C23×D1111yescharacteristic
1646C24C23×D1111yescharacteristic
1647C24C23×D1111yescharacteristic
1648C24C23×D1114yes—
1649C24C23×D1114yes—
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—24no—
1665C2×D4—24no—
1666C2×D4—42no—
1667C2×D4—42no—
1668C2×D4—42no—
1669C2×D4—42no—
1670C2×D4—42no—
1671C2×D4—42no—
1672C2×D4—416no—
1673C2×D4—42no—
1674C2×D4—42no—
1675C2×D4—42no—
1676C2×D4—42no—
1677C2×D4—416no—
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—114no—
1705C2×D4—114no—
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—4416no—
1716C2×D4—4416no—
1717C2×D4—442no—
1718C2×D4—442no—
1719C2×D4—442no—
1720C2×D4—442no—
1721C2×D4—4416no—
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—442no—
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—24no—
1751C22×C4—42no—
1752C22×C4—42no—
1753C22×C4—42no—
1754C22×C4—111no—
1755C22×C4—114no—
1756C22×C4—114no—
1757C22×C4—114no—
1758C22×C4—114no—
1759C22×C4—114no—
1760C22×C4—111no—
1761C22×C4—111no—
1762C22×C4—111no—
1763C22×C4—111no—
1764C22×C4—111no—
1765C22×C4—111no—
1766C22×C4—111no—
1767C22×C4—111no—
1768C22×C4—111no—
1769C22×C4—111no—
1770C22×C4—111no—
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—114no—
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×D1114yes—
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⋊C4—114no—
1838C4⋊C4—114no—
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—
1898C42—114no—
1899C11C2×#354211yescharacteristic, complemented, Sylow
1900C23—22no—
1901C23—22no—
1902C23—22no—
1903C23—22no—
1904C23—22no—
1905C23—22no—
1906C23—28no—
1907C23—22no—
1908C23—22no—
1909C23—22no—
1910C23—22no—
1911C23—22no—
1912C23—22no—
1913C23—22no—
1914C23—22no—
1915C23—22no—
1916C23—22no—
1917C23—22no—
1918C23—22no—
1919C23—22no—
1920C23—22no—
1921C23—28no—
1922C23—44no—
1923C23—44no—
1924C23—44no—
1925C23—44no—
1926C23—44no—
1927C23—44no—
1928C23—44no—
1929C23—416no—
1930C23—88no—
1931C23—88no—
1932C23—112no—
1933C23—112no—
1934C23—112no—
1935C23—112no—
1936C23—222no—
1937C23—222no—
1938C23—222no—
1939C23—222no—
1940C23—222no—
1941C23—222no—
1942C23—222no—
1943C23—222no—
1944C23—222no—
1945C23—222no—
1946C23—222no—
1947C23—222no—
1948C23—228no—
1949C23—444no—
1950C23—444no—
1951C23—444no—
1952C23—444no—
1953C23—444no—
1954C23—888no—
1955C23—888no—
1956C23#6703714yes—
1957C23C24×D1112yes—
1958C23C24×D1112yes—
1959C23C24×D1112yes—
1960C23C24×D1112yes—
1961C23C24×D1112yes—
1962C23C24×D1112yes—
1963C23C24×D1112yes—
1964C23C24×D1111yescharacteristic
1965Q8—228no—
1966Q8—444no—
1967Q8—444no—
1968Q8—444no—
1969D4—28no—
1970D4—28no—
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—444no—
1987D4—444no—
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—28no—
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—112no—
2034C2×C4—228no—
2035C2×C4—228no—
2036C2×C4—228no—
2037C2×C4—228no—
2038C2×C4—228no—
2039C2×C4—222no—
2040C2×C4—222no—
2041C2×C4—228no—
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—222no—
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×C4—444no—
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—28no—
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—22no—
2090C22—22no—
2091C22—22no—
2092C22—416no—
2093C22—44no—
2094C22—44no—
2095C22—44no—
2096C22—44no—
2097C22—44no—
2098C22—44no—
2099C22—88no—
2100C22—88no—
2101C22—222no—
2102C22—222no—
2103C22—222no—
2104C22—222no—
2105C22—222no—
2106C22—222no—
2107C22—222no—
2108C22—222no—
2109C22—222no—
2110C22—222no—
2111C22—222no—
2112C22—222no—
2113C22—444no—
2114C22—444no—
2115C22—444no—
2116C22—444no—
2117C22—888no—
2118C22—888no—
2119C22C2×#6703714yes—
2120C22C2×#6703712yes—
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—114no—
2133C4—222no—
2134C4—222no—
2135C4—222no—
2136C4—222no—
2137C4—222no—
2138C4—222no—
2139C4—222no—
2140C4—222no—
2141C4—222no—
2142C4—222no—
2143C4—222no—
2144C2—24no—
2145C2—42no—
2146C2—42no—
2147C2—42no—
2148C2—42no—
2149C2—42no—
2150C2—42no—
2151C2—442no—
2152C2—442no—
2153C2—442no—
2154C2—442no—
2155C2#1308292714yesdirect product factor
2156C2C2×D11×H(5,𝔽2)11yescharacteristic
2157C2C22×#6703711yescharacteristic
2158C2C2×#1062345511yescharacteristic
subgroupG/H
centerC23C24×D11
commutator, cosocleC22×C11C26
FrattiniC22C25×D11
FittingC2×C11×#534C2
socleC23×C11C25
hypercenterC2×#534D11
hypocenterC11C2×#3542
LCSG ▷ C22×C11 ▷ C11
UCSC1 ◁ C23 ◁ C2×#534

Complements

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

NH ≅ G/Ntype
1. #13082927C2direct (N × H)
2. C2×#10623198C2semidirect
3. C2×#10623152C2semidirect
4. C2×#10623126C2semidirect
5. C2×#10623151C2semidirect
6. C2×#10623147C2semidirect
7. C2×#10623192C2semidirect
8. C2×#10623181C2semidirect
9. C2×#10623026C2semidirect
10. C2×#10623189C2semidirect
11. C2×#10623130C2semidirect
12. C2×#10623186C2semidirect
13. C2×#10623337C2semidirect
14. C2×#10623185C2semidirect
15. C2×#10623021C2semidirect
16. C2×#10623122C2semidirect
17. C2×D4×C22⋊D11C2semidirect
18. C2×#10623193C2semidirect
19. C2×#10623150C2semidirect
20. C2×#10623194C2semidirect
21. C2×#10623146C2semidirect
22. C2×#10623124C2semidirect
23. C2×#10623144C2semidirect
24. C2×#10623139C2semidirect
25. C2×#10623336C2semidirect
26. C2×#10623123C2semidirect
27. C2×#10623123C2semidirect
28. C2×#10623120C2semidirect
29. C2×#10623117C2semidirect
30. C2×#10623117C2semidirect
31. C22×#66992C2semidirect
32. C2×C11×#534C2semidirect
34. C23×D4×C11C22semidirect
36. C23×C22⋊D11C22semidirect
37. C23×C22⋊D11C22semidirect
38. C24×Dic11C22semidirect
39. C22×#4341C22semidirect
40. C22×#4341C22semidirect
41. C22×#4341C22semidirect
43. C22×#4339C22semidirect
44. C22×#4339C22semidirect
45. C11×#534C22semidirect
47. C2×C11×#123C22semidirect
48. C2×C11×#123C22semidirect
49. C2×C11×#123C22semidirect
50. C2×C11×#121C22semidirect
51. C2×C11×#121C22semidirect
52. C2×C11×#121C22semidirect
53. C2×C11×#121C22semidirect
55. C2×C11×#120C22semidirect
56. C2×C11×#120C22semidirect
57. C2×C11×#120C22semidirect
58. C22×C11×C22⋊C4C22semidirect
60. C2×#67006C22semidirect
61. C2×#67006C22semidirect
62. C2×#67006C22semidirect
63. C2×#67006C22semidirect
64. C2×#67006C22semidirect
65. C22×C22⋊Dic11C22semidirect
66. C22×C22⋊Dic11C22semidirect
67. #10623337C22semidirect
68. #10623336C22semidirect
69. C2×#66993C22semidirect
70. C2×#66993C22semidirect
71. C2×#66993C22semidirect
72. C2×#66993C22semidirect
73. C2×#66993C22semidirect
78. C2×#66992C22semidirect
79. C2×#66992C22semidirect
80. C2×#66992C22semidirect
81. C2×#66992C22semidirect
82. C2×#66992C22semidirect
83. C2×#66992C22semidirect
84. C2×#66992C22semidirect
85. C2×#66992C22semidirect
86. C2×#66992C22semidirect
87. C2×#66992C22semidirect
88. C2×#66992C22semidirect
89. C2×#66992C22semidirect
90. C2×#66992C22semidirect
91. D4×C22⋊D11C22semidirect
92. C2×#66991C22semidirect
93. C2×#66991C22semidirect
94. C2×#66991C22semidirect
95. C2×#66991C22semidirect
96. C2×#66991C22semidirect
97. C2×#66991C22semidirect
98. C2×#66991C22semidirect
99. C2×#66991C22semidirect
101. C2×#66990C22semidirect
102. C2×#66990C22semidirect
103. C2×#66990C22semidirect
104. C2×#66989C22semidirect
105. C2×#66989C22semidirect
106. C2×#66989C22semidirect
108. C2×#66988C22semidirect
109. C2×#66988C22semidirect
110. C2×#66988C22semidirect
112. C2×D4×Dic11C22semidirect
113. C2×D4×Dic11C22semidirect
114. C2×D4×Dic11C22semidirect
115. C2×#66983C22semidirect
116. C2×#66983C22semidirect
117. C2×#66982C22semidirect
118. C2×#66982C22semidirect
119. C2×C4×C22⋊D11C22semidirect
120. C2×C4×C22⋊D11C22semidirect
121. C2×C4×C22⋊D11C22semidirect
122. C2×C4×C22⋊D11C22semidirect
123. C22×(C2×D11)⋊C4C22semidirect
124. C2×#66979C22semidirect
125. C2×#66979C22semidirect
126. C2×#66977C22semidirect
127. C2×#66977C22semidirect
128. C22×Dic11⋊C4C22semidirect
129. #10623198C22semidirect
130. #10623194C22semidirect
131. #10623193C22semidirect
132. #10623192C22semidirect
133. #10623189C22semidirect
134. #10623186C22semidirect
135. #10623185C22semidirect
136. #10623181C22semidirect
137. #10623152C22semidirect
138. #10623151C22semidirect
139. #10623150C22semidirect
140. #10623147C22semidirect
141. #10623146C22semidirect
142. #10623144C22semidirect
143. #10623139C22semidirect
144. #10623130C22semidirect
145. #10623126C22semidirect
146. #10623124C22semidirect
147. #10623123C22semidirect
148. #10623123C22semidirect
149. #10623122C22semidirect
150. #10623120C22semidirect
151. #10623117C22semidirect
152. #10623117C22semidirect
153. C2×#66951C22semidirect
154. C2×#66951C22semidirect
155. C2×#66950C22semidirect
156. C2×#66949C22semidirect
157. C2×#66949C22semidirect
158. C2×#66948C22semidirect
159. C2×#66947C22semidirect
160. C2×#66947C22semidirect
161. C2×#66946C22semidirect
162. C2×#66945C22semidirect
163. C2×C4⋊C4×D11C22semidirect
164. C2×#66943C22semidirect
165. C2×#66942C22semidirect
166. C2×#66942C22semidirect
167. C2×#66941C22semidirect
168. C2×#66940C22semidirect
169. #10623026C22semidirect
170. C2×#66939C22semidirect
171. C2×#66939C22semidirect
172. C2×#66939C22semidirect
173. C2×#66939C22semidirect
174. C2×#66938C22semidirect
175. C2×#66938C22semidirect
176. C2×#66938C22semidirect
177. C2×#66938C22semidirect
178. C2×#66938C22semidirect
179. C2×#66938C22semidirect
180. #10623021C22semidirect
181. C2×#66937C22semidirect
182. C2×#66937C22semidirect
183. C2×#66937C22semidirect
184. C2×#66937C22semidirect
185. C2×#66937C22semidirect
186. C2×#66937C22semidirect
187. C2×#66937C22semidirect
188. C2×#66937C22semidirect
189. C2×#66936C22semidirect
190. C2×#66936C22semidirect
191. C2×#66936C22semidirect
192. C2×#66936C22semidirect
193. C2×#66936C22semidirect
194. C2×#66936C22semidirect
195. C2×#66935C22semidirect
196. C2×#66935C22semidirect
197. C2×(C22⋊D11)⋊C4C22semidirect
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×#66932C22semidirect
206. C2×#66932C22semidirect
207. C2×#66932C22semidirect
208. C2×#66932C22semidirect
209. C2×#66931C22semidirect
210. C2×#66931C22semidirect
211. C2×#66931C22semidirect
212. C2×#66931C22semidirect
213. C2×#66931C22semidirect
214. C2×#66931C22semidirect
215. C2×#66930C22semidirect
216. C2×#66930C22semidirect
217. C2×#66930C22semidirect
218. C2×#66930C22semidirect
239. C22×D4×C11C23semidirect
272. C22×C22⋊D11C23semidirect
273. C22×C22⋊D11C23semidirect
285. C23×Dic11C23semidirect
289. C2×#4341C23semidirect
290. C2×#4341C23semidirect
291. C2×#4341C23semidirect
296. C2×#4339C23semidirect
297. C2×#4339C23semidirect
315. C11×#123C23semidirect
316. C11×#123C23semidirect
317. C11×#123C23semidirect
318. C11×#121C23semidirect
319. C11×#121C23semidirect
320. C11×#121C23semidirect
321. C11×#121C23semidirect
323. C11×#120C23semidirect
324. C11×#120C23semidirect
325. C11×#120C23semidirect
342. C2×C11×C22⋊C4C23semidirect
344. #67006C23semidirect
345. #67006C23semidirect
346. #67006C23semidirect
347. #67006C23semidirect
348. #67006C23semidirect
369. C2×C22⋊Dic11C23semidirect
370. C2×C22⋊Dic11C23semidirect
371. #66993C23semidirect
372. #66993C23semidirect
373. #66993C23semidirect
374. #66993C23semidirect
375. #66993C23semidirect
380. #66992C23semidirect
381. #66992C23semidirect
382. #66992C23semidirect
383. #66992C23semidirect
384. #66992C23semidirect
385. #66992C23semidirect
386. #66992C23semidirect
387. #66992C23semidirect
388. #66992C23semidirect
389. #66992C23semidirect
390. #66992C23semidirect
391. #66992C23semidirect
392. #66991C23semidirect
393. #66991C23semidirect
394. #66991C23semidirect
395. #66991C23semidirect
396. #66991C23semidirect
397. #66991C23semidirect
398. #66991C23semidirect
399. #66991C23semidirect
401. #66990C23semidirect
402. #66990C23semidirect
403. #66990C23semidirect
404. #66989C23semidirect
405. #66989C23semidirect
406. #66989C23semidirect
408. #66988C23semidirect
409. #66988C23semidirect
410. #66988C23semidirect
412. D4×Dic11C23semidirect
413. D4×Dic11C23semidirect
414. D4×Dic11C23semidirect
415. #66983C23semidirect
416. #66983C23semidirect
417. #66982C23semidirect
418. #66982C23semidirect
419. C4×C22⋊D11C23semidirect
420. C4×C22⋊D11C23semidirect
421. C4×C22⋊D11C23semidirect
422. C4×C22⋊D11C23semidirect
439. C2×(C2×D11)⋊C4C23semidirect
440. #66979C23semidirect
441. #66979C23semidirect
450. #66977C23semidirect
451. #66977C23semidirect
468. C2×Dic11⋊C4C23semidirect
477. #66951C23semidirect
478. #66951C23semidirect
479. #66950C23semidirect
480. #66949C23semidirect
481. #66949C23semidirect
482. #66948C23semidirect
483. #66947C23semidirect
484. #66947C23semidirect
485. #66946C23semidirect
486. #66945C23semidirect
487. C4⋊C4×D11C23semidirect
488. #66943C23semidirect
489. #66942C23semidirect
490. #66942C23semidirect
491. #66941C23semidirect
492. #66940C23semidirect
493. #66939C23semidirect
494. #66939C23semidirect
495. #66939C23semidirect
496. #66939C23semidirect
497. #66938C23semidirect
498. #66938C23semidirect
499. #66938C23semidirect
500. #66938C23semidirect
501. #66938C23semidirect
502. #66938C23semidirect
503. #66937C23semidirect
504. #66937C23semidirect
505. #66937C23semidirect
506. #66937C23semidirect
507. #66937C23semidirect
508. #66937C23semidirect
509. #66937C23semidirect
510. #66937C23semidirect
511. #66936C23semidirect
512. #66936C23semidirect
513. #66936C23semidirect
514. #66936C23semidirect
515. #66936C23semidirect
516. #66936C23semidirect
517. #66935C23semidirect
518. #66935C23semidirect
519. (C22⋊D11)⋊C4C23semidirect
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. #66932C23semidirect
528. #66932C23semidirect
529. #66932C23semidirect
530. #66932C23semidirect
531. #66931C23semidirect
532. #66931C23semidirect
533. #66931C23semidirect
534. #66931C23semidirect
535. #66931C23semidirect
536. #66931C23semidirect
537. #66930C23semidirect
538. #66930C23semidirect
539. #66930C23semidirect
540. #66930C23semidirect
849. C2×#534D11semidirect
1034. C23×D4C2×D11semidirect
1063. #534C2×D11semidirect
1109. C2×#123C2×D11semidirect
1110. C2×#123C2×D11semidirect
1111. C2×#123C2×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
1209. C22×C22⋊C4C2×D11semidirect
1353. C22×D4C22×D11semidirect
1421. #123C22×D11semidirect
1422. #123C22×D11semidirect
1423. #123C22×D11semidirect
1470. #121C22×D11semidirect
1471. #121C22×D11semidirect
1472. #121C22×D11semidirect
1473. #121C22×D11semidirect
1487. #120C22×D11semidirect
1488. #120C22×D11semidirect
1489. #120C22×D11semidirect
1596. C2×C22⋊C4C22×D11semidirect
1612. C2×C11#3542semidirect
1899. C11C2×#3542semidirect
2155. C2#13082927direct (N × H)

Maximal subgroups

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

subgroupindex
#130829272
C2×#106231982
C2×#106231522
C2×#106231262
C2×#106231512
C2×#106231472
C2×#106231922
C2×#106231812
C2×#106230262
C2×#106231892
C2×#106231302
C2×#106231862
C2×#106233372
C2×#106231852
C2×#106230212
C2×#106231222
C2×D4×C22⋊D112
C2×#106231932
C2×#106231502
C2×#106231942
C2×#106231462
C2×#106231242
C2×#106231442
C2×#106231392
C2×#106233362
C2×#106231232
C2×#106231202
C2×#106231172
C22×#669922
C2×C11×#5342
C2×#354211