Finite Group Databasebeta

← C2×#13082168 #15660805

Subgroups — C2×#13082168 #15660805

Order 2816.

7954 conjugacy classes of subgroups.

The subgroup lattice has 1964 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#13082168C2132yesmaximal, direct product factor
2C2×#10623233C211yesmaximal, characteristic, complemented
3C2×#10623201C211yesmaximal, characteristic, complemented
4C2×#10623167C211yesmaximal, characteristic, complemented
5C2×#10623240C211yesmaximal, characteristic, complemented
6C2×#10623132C211yesmaximal, characteristic, complemented
7C2×#10623181C211yesmaximal, characteristic, complemented
8C2×#10623239C211yesmaximal, characteristic, complemented
9C2×#10623224C211yesmaximal, characteristic, complemented
10C2×#10623224C211yesmaximal, characteristic, complemented
11C2×#10623210C211yesmaximal, characteristic, complemented
12C2×#10623168C211yesmaximal, characteristic, complemented
13C2×#10623236C211yesmaximal, characteristic, complemented
14C2×#10623189C211yesmaximal, characteristic, complemented
15C2×#10623186C211yesmaximal, characteristic, complemented
16C2×#10623185C211yesmaximal, characteristic, complemented
17C2×#10623141C211yesmaximal, characteristic, complemented
18C2×#10623109C211yesmaximal, characteristic, complemented
19C2×#10623111C211yesmaximal, characteristic, complemented
20C2×#10623069C211yesmaximal, characteristic, complemented
21C2×#10623069C211yesmaximal, characteristic, complemented
22C2×#10623059C211yesmaximal, characteristic, complemented
23C2×#10623059C211yesmaximal, characteristic, complemented
24C2×#10623078C211yesmaximal, characteristic, complemented
25C2×#10623078C211yesmaximal, characteristic, complemented
26C2×C4×#4339C211yesmaximal, characteristic, complemented
27C2×#10623053C211yesmaximal, characteristic, complemented
28C2×C4×#4341C211yesmaximal, characteristic, complemented
29C2×C4×D4×D11C211yesmaximal, characteristic, complemented
30C22×#66925C211yesmaximal, characteristic, complemented
31C2×D11×#117C211yesmaximal, characteristic, complemented
32C2×C11×#529C211yesmaximal, characteristic, complemented
33C22×#4341C2211yescharacteristic
34C22×D4×D11C2211yescharacteristic
35C22×#4339C2211yescharacteristic
36C22×#4339C2211yescharacteristic
37C23×C4×D11C2211yescharacteristic
38C23×C4×D11C2211yescharacteristic
39C11×#529C22116yescomplemented
40C2×C11×#126C2211yescharacteristic, complemented
41C2×C11×#126C2211yescharacteristic, complemented
42C2×C11×#125C2211yescharacteristic, complemented
43C2×C11×#124C2211yescharacteristic, complemented
44C2×C11×#123C2211yescharacteristic
45C2×C11×#123C2211yescharacteristic, complemented
46C2×C11×C22⋊Q8C2211yescharacteristic, complemented
47C2×C11×#121C2211yescharacteristic
48C2×C4×Q8×C11C2211yescharacteristic, complemented
49C2×C4×D4×C11C2211yescharacteristic
50C2×C4×D4×C11C2211yescharacteristic, complemented
51C2×C4×D4×C11C2211yescharacteristic, complemented
52C2×C11×#117C2211yescharacteristic, complemented
53C2×C11×#117C2211yescharacteristic, complemented
54C22×C42×C11C2211yescharacteristic, complemented
55C2×#67000C2211yescharacteristic, complemented
56C2×#66999C2211yescharacteristic
57C2×#66999C2211yescharacteristic, complemented
58C2×#66997C2211yescharacteristic, complemented
59C2×#66992C2211yescharacteristic
60C2×#66992C2211yescharacteristic
61C2×#66992C2211yescharacteristic, complemented
62C2×#66992C2211yescharacteristic, complemented
63C2×#66990C2211yescharacteristic
64C2×#66990C2211yescharacteristic
65C2×#66988C2211yescharacteristic
66C2×#66988C2211yescharacteristic, complemented
67C2×D4×Dic11C2211yescharacteristic
68C2×D4×Dic11C2211yescharacteristic, complemented
69C2×C4×C22⋊D11C2211yescharacteristic
70C2×C4×C22⋊D11C2211yescharacteristic
71C2×C4×C22⋊D11C2211yescharacteristic
72C2×C4×C22⋊D11C2211yescharacteristic, complemented
73C2×C4×C22⋊D11C2211yescharacteristic, complemented
74C2×C4×C22⋊D11C2211yescharacteristic, complemented
75C2×C4×C22⋊D11C2211yescharacteristic, complemented
76C2×C4×C22⋊D11C2211yescharacteristic, complemented
77C22×(C2×D11)⋊C4C2211yescharacteristic
78C22×(C2×D11)⋊C4C2211yescharacteristic
79C2×#66979C2211yescharacteristic, complemented
80C2×#66979C2211yescharacteristic, complemented
81C22×Dic11⋊C4C2211yescharacteristic, complemented
82C22×Dic11⋊C4C2211yescharacteristic, complemented
83C22×C4×Dic11C2211yescharacteristic, complemented
84C22×C4×Dic11C2211yescharacteristic, complemented
85#10623240C22116yescomplemented
86#10623239C22116yescomplemented
87#10623236C22116yescomplemented
88#10623233C22116yescomplemented
89#10623224C22116yescomplemented
90#10623224C22116yescomplemented
91#10623210C22116yescomplemented
92#10623201C22116yescomplemented
93#10623189C22116yescomplemented
94#10623186C22116yescomplemented
95#10623185C22116yescomplemented
96#10623181C22116yescomplemented
97#10623168C22116yescomplemented
98#10623167C22116yescomplemented
99#10623141C22116yescomplemented
100#10623132C22116yescomplemented
101#10623111C22116yescomplemented
102#10623109C22116yescomplemented
103#10623078C22116yescomplemented
104#10623078C22116yescomplemented
105C4×D4×D11C22116yescomplemented
106#10623069C22116yescomplemented
107#10623069C22116yescomplemented
108C4×#4341C22116yescomplemented
109#10623059C22116yescomplemented
110#10623059C22116yescomplemented
111#10623053C22116yescomplemented
112D11×#117C22116yescomplemented
113C2×#66951C2211yescharacteristic, complemented
114C2×#66951C2211yescharacteristic, complemented
115C2×#66951C2211yescharacteristic, complemented
116C2×#66951C2211yescharacteristic, complemented
117C2×#66951C2211yescharacteristic, complemented
118C2×#66951C2211yescharacteristic, complemented
119C2×#66950C2211yescharacteristic
120C2×#66949C2211yescharacteristic
121C2×#66949C2211yescharacteristic
122C2×#66949C2211yescharacteristic, complemented
123C2×#66949C2211yescharacteristic, complemented
124C2×#66949C2211yescharacteristic, complemented
125C2×#66949C2211yescharacteristic, complemented
126C2×#66948C2211yescharacteristic
127C2×#66947C2211yescharacteristic
128C2×#66947C2211yescharacteristic
129C2×#66947C2211yescharacteristic
130C2×#66947C2211yescharacteristic
131C2×#66947C2211yescharacteristic, complemented
132C2×#66947C2211yescharacteristic, complemented
133C2×#66946C2211yescharacteristic
134C2×#66946C2211yescharacteristic
135C2×#66946C2211yescharacteristic
136C2×#66945C2211yescharacteristic
137C2×#66945C2211yescharacteristic
138C2×#66945C2211yescharacteristic, complemented
139C2×C4⋊C4×D11C2211yescharacteristic
140C2×C4⋊C4×D11C2211yescharacteristic, complemented
141C2×C4⋊C4×D11C2211yescharacteristic, complemented
142C2×#66943C2211yescharacteristic, complemented
143C2×#66942C2211yescharacteristic, complemented
144C2×#66942C2211yescharacteristic, complemented
145C2×#66942C2211yescharacteristic, complemented
146C2×#66942C2211yescharacteristic, complemented
147C2×#66942C2211yescharacteristic, complemented
148C2×#66942C2211yescharacteristic, complemented
149C2×#66941C2211yescharacteristic, complemented
150C2×#66940C2211yescharacteristic, complemented
151C2×#66940C2211yescharacteristic, complemented
152C2×#66940C2211yescharacteristic, complemented
153C2×#66939C2211yescharacteristic, complemented
154C2×#66939C2211yescharacteristic, complemented
155C2×#66938C2211yescharacteristic
156C2×#66938C2211yescharacteristic
157C2×#66938C2211yescharacteristic, complemented
158C2×#66938C2211yescharacteristic, complemented
159C2×#66937C2211yescharacteristic
160C2×#66937C2211yescharacteristic
161C2×#66937C2211yescharacteristic, complemented
162C2×#66937C2211yescharacteristic, complemented
163C2×#66936C2211yescharacteristic
164C2×#66936C2211yescharacteristic
165C2×#66936C2211yescharacteristic, complemented
166C2×#66936C2211yescharacteristic, complemented
167C2×#66935C2211yescharacteristic
168C2×#66935C2211yescharacteristic
169C2×(C22⋊D11)⋊C4C2211yescharacteristic
170C2×(C22⋊D11)⋊C4C2211yescharacteristic
171C2×(C22⋊D11)⋊C4C2211yescharacteristic
172C2×(C22⋊D11)⋊C4C2211yescharacteristic
173C2×(C22⋊D11)⋊C4C2211yescharacteristic
174C2×(C22⋊D11)⋊C4C2211yescharacteristic, complemented
175C2×(C22⋊D11)⋊C4C2211yescharacteristic, complemented
176C2×(C22⋊D11)⋊C4C2211yescharacteristic, complemented
177C2×C22⋊C4×D11C2211yescharacteristic
178C2×C22⋊C4×D11C2211yescharacteristic
179C2×C22⋊C4×D11C2211yescharacteristic
180C2×C22⋊C4×D11C2211yescharacteristic
181C2×#66932C2211yescharacteristic, complemented
182C2×#66932C2211yescharacteristic, complemented
183C2×#66932C2211yescharacteristic, complemented
184C2×#66932C2211yescharacteristic, complemented
185C2×#66931C2211yescharacteristic, complemented
186C2×#66931C2211yescharacteristic, complemented
187C2×#66931C2211yescharacteristic, complemented
188C2×#66931C2211yescharacteristic, complemented
189C2×#66930C2211yescharacteristic, complemented
190C2×#66930C2211yescharacteristic, complemented
191C2×#66930C2211yescharacteristic, complemented
192C2×#66930C2211yescharacteristic, complemented
193C4×#4339C22116yescomplemented
194C2×C4×D44C2211yescharacteristic
195C2×C4×D44C2211yescharacteristic, complemented
196C2×C4×D44C2211yescharacteristic, complemented
197C2×C4×D44C2211yescharacteristic, complemented
198C2×#66925C2211yescharacteristic
199C2×#66925C2211yescharacteristic
200C2×#66925C2211yescharacteristic
201C2×#66925C2211yescharacteristic
202C2×#66925C2211yescharacteristic
203C2×#66925C22116yescomplemented
204C2×#66925C2211yescharacteristic, complemented
205C2×#66925C2211yescharacteristic, complemented
206C2×#66925C2211yescharacteristic, complemented
207C2×#66925C2211yescharacteristic, complemented
208C2×#66925C2211yescharacteristic, complemented
209C2×#66925C2211yescharacteristic, complemented
210C2×#66925C2211yescharacteristic, complemented
211C2×C42×D11C2211yescharacteristic
212C2×C42×D11C2211yescharacteristic, complemented
213C2×C42×D11C2211yescharacteristic, complemented
214C2×C42×D11C2211yescharacteristic, complemented
215C2×C4×Dic22C2211yescharacteristic, complemented
216C2×C4×Dic22C2211yescharacteristic, complemented
217C2×C4×Dic22C2211yescharacteristic, complemented
218C2×C4×Dic22C2211yescharacteristic, complemented
219C24×D11C2311yescharacteristic
220C24×D11C2311yescharacteristic
221C22×Q8×C11C2311yescharacteristic
222C22×D4×C11C2311yescharacteristic
223C22×D4×C11C2311yescharacteristic
224C22×D4×C11C2311yescharacteristic
225C23×C4×C11C2311yescharacteristic
226C23×C4×C11C2311yescharacteristic
227C23×C4×C11C2311yescharacteristic
228C23×C4×C11C2311yescharacteristic
229C23×C4×C11C2311yescharacteristic
230C22×C22⋊D11C2311yescharacteristic
231C22×C22⋊D11C2311yescharacteristic
232C22×C22⋊D11C2311yescharacteristic
233C22×C22⋊D11C2311yescharacteristic
234C22×C22⋊D11C2311yescharacteristic
235C22×C22⋊D11C2311yescharacteristic
236C22×C22⋊D11C2311yescharacteristic
237C22×C22⋊D11C2311yescharacteristic
238C23×Dic11C2311yescharacteristic
239C23×Dic11C2311yescharacteristic
240C23×Dic11C2311yescharacteristic
241C23×Dic11C2311yescharacteristic
242C23×Dic11C2311yescharacteristic
243C23×Dic11C2311yescharacteristic
244C2×#4341—28no—
245C2×#4341C2318yes—
246C2×D4×D11—28no—
247C2×D4×D11C2318yes—
248C2×#4339—28no—
249C2×#4339—28no—
250C2×#4339C2318yes—
251C2×#4339C2318yes—
252C22×D44C2311yescharacteristic
253C22×D44C2311yescharacteristic
254C22×D44C2311yescharacteristic
255C22×D44C2311yescharacteristic
256C22×C4×D11—28no—
257C22×C4×D11—28no—
258C22×C4×D11C2311yescharacteristic
259C22×C4×D11C2311yescharacteristic
260C22×C4×D11C2311yescharacteristic
261C22×C4×D11C2311yescharacteristic
262C22×C4×D11C2311yescharacteristic
263C22×C4×D11C2311yescharacteristic
264C22×C4×D11C2311yescharacteristic
265C22×C4×D11C2311yescharacteristic
266C22×C4×D11C2311yescharacteristic
267C22×C4×D11C2318yes—
268C22×C4×D11C2311yescharacteristic
269C22×C4×D11C2311yescharacteristic
270C22×C4×D11C2318yes—
271C22×C4×D11C2311yescharacteristic
272C22×C4×D11C2311yescharacteristic
273C22×C4×D11C2311yescharacteristic
274C22×C4×D11C2311yescharacteristic
275C22×C4×D11C2311yescharacteristic
276C22×Dic22C2311yescharacteristic
277C22×Dic22C2311yescharacteristic
278C22×Dic22C2311yescharacteristic
279C22×Dic22C2311yescharacteristic
280C11×#126C2318yescomplemented
281C11×#126C2318yescomplemented
282C11×#125C2318yescomplemented
283C11×#124C2318yescomplemented
284C11×#123C2318yes—
285C11×#123C2318yescomplemented
286C11×C22⋊Q8C2318yescomplemented
287C11×#121C2318yes—
288C4×Q8×C11C2318yescomplemented
289C4×D4×C11C2318yes—
290C4×D4×C11C2318yescomplemented
291C4×D4×C11C2318yescomplemented
292C11×#117C2318yescomplemented
293C11×#117C2318yescomplemented
294C2×C11×C4⋊C4C2311yescharacteristic
295C2×C11×C4⋊C4C2311yescharacteristic
296C2×C11×C4⋊C4C2311yescharacteristic
297C2×C11×C4⋊C4C2311yescharacteristic
298C2×C11×C4⋊C4C2311yescharacteristic
299C2×C11×C4⋊C4C2311yescharacteristic
300C2×C11×C4⋊C4C2311yescharacteristic
301C2×C11×C4⋊C4C2311yescharacteristic
302C2×C11×C4⋊C4C2311yescharacteristic
303C2×C11×C4⋊C4C2311yescharacteristic
304C2×C11×C22⋊C4C2311yescharacteristic
305C2×C11×C22⋊C4C2311yescharacteristic
306C2×C11×C22⋊C4C2311yescharacteristic
307C2×C11×C22⋊C4C2311yescharacteristic
308C2×C11×C22⋊C4C2311yescharacteristic
309C2×C11×C22⋊C4C2311yescharacteristic
310C2×C11×C22⋊C4C2311yescharacteristic
311C2×C11×C22⋊C4C2311yescharacteristic
312C2×C11×C22⋊C4C2311yescharacteristic
313C2×C11×C22⋊C4C2311yescharacteristic
314C2×C42×C11C2311yescharacteristic
315C2×C42×C11C2311yescharacteristic
316C2×C42×C11C2311yescharacteristic
317C2×C42×C11C2311yescharacteristic
318C2×C42×C11C2311yescharacteristic
319C2×C42×C11C2311yescharacteristic
320C2×C42×C11C2318yescomplemented
321C2×C22⋊Dic11C2311yescharacteristic
322C2×C22⋊Dic11C2311yescharacteristic
323C2×C22⋊Dic11C2311yescharacteristic
324C2×C22⋊Dic11C2311yescharacteristic
325C2×C22⋊Dic11C2311yescharacteristic
326C2×C22⋊Dic11C2311yescharacteristic
327C2×C22⋊Dic11C2311yescharacteristic
328C2×C22⋊Dic11C2311yescharacteristic
329#67000C2318yescomplemented
330#66999C2318yes—
331#66999C2318yescomplemented
332#66997C2318yescomplemented
333#66992C2318yes—
334#66992C2318yes—
335#66992C2318yescomplemented
336#66992C2318yescomplemented
337#66990C2318yes—
338#66990C2318yes—
339#66988C2318yes—
340#66988C2318yescomplemented
341D4×Dic11C2318yes—
342D4×Dic11C2318yescomplemented
343C4×C22⋊D11C2318yes—
344C4×C22⋊D11C2318yes—
345C4×C22⋊D11C2318yes—
346C4×C22⋊D11C2318yescomplemented
347C4×C22⋊D11C2318yescomplemented
348C4×C22⋊D11C2318yescomplemented
349C4×C22⋊D11C2318yescomplemented
350C4×C22⋊D11C2318yescomplemented
351C2×(C2×D11)⋊C4C2311yescharacteristic
352C2×(C2×D11)⋊C4C2311yescharacteristic
353C2×(C2×D11)⋊C4C2311yescharacteristic
354C2×(C2×D11)⋊C4C2311yescharacteristic
355C2×(C2×D11)⋊C4C2311yescharacteristic
356C2×(C2×D11)⋊C4C2311yescharacteristic
357C2×(C2×D11)⋊C4C2311yescharacteristic
358C2×(C2×D11)⋊C4C2311yescharacteristic
359C2×(C2×D11)⋊C4C2311yescharacteristic
360C2×(C2×D11)⋊C4C2311yescharacteristic
361C2×(C2×D11)⋊C4C2318yes—
362C2×(C2×D11)⋊C4C2318yes—
363C2×(C2×D11)⋊C4C2311yescharacteristic
364C2×(C2×D11)⋊C4C2311yescharacteristic
365C2×(C2×D11)⋊C4C2311yescharacteristic
366C2×(C2×D11)⋊C4C2311yescharacteristic
367C2×(C2×D11)⋊C4C2311yescharacteristic
368C2×(C2×D11)⋊C4C2311yescharacteristic
369C2×(C2×D11)⋊C4C2311yescharacteristic
370C2×(C2×D11)⋊C4C2311yescharacteristic
371C2×(C2×D11)⋊C4C2311yescharacteristic
372C2×(C2×D11)⋊C4C2311yescharacteristic
373C2×(C2×D11)⋊C4C2311yescharacteristic
374C2×(C2×D11)⋊C4C2311yescharacteristic
375C2×(C2×D11)⋊C4C2311yescharacteristic
376C2×(C2×D11)⋊C4C2311yescharacteristic
377#66979C2318yescomplemented
378#66979C2318yescomplemented
379C2×C4⋊Dic11C2311yescharacteristic
380C2×C4⋊Dic11C2311yescharacteristic
381C2×C4⋊Dic11C2311yescharacteristic
382C2×C4⋊Dic11C2311yescharacteristic
383C2×C4⋊Dic11C2311yescharacteristic
384C2×C4⋊Dic11C2311yescharacteristic
385C2×C4⋊Dic11C2311yescharacteristic
386C2×C4⋊Dic11C2311yescharacteristic
387C2×Dic11⋊C4C2311yescharacteristic
388C2×Dic11⋊C4C2311yescharacteristic
389C2×Dic11⋊C4C2311yescharacteristic
390C2×Dic11⋊C4C2311yescharacteristic
391C2×Dic11⋊C4C2311yescharacteristic
392C2×Dic11⋊C4C2311yescharacteristic
393C2×Dic11⋊C4C2311yescharacteristic
394C2×Dic11⋊C4C2311yescharacteristic
395C2×Dic11⋊C4C2311yescharacteristic
396C2×Dic11⋊C4C2311yescharacteristic
397C2×Dic11⋊C4C2311yescharacteristic
398C2×Dic11⋊C4C2311yescharacteristic
399C2×Dic11⋊C4C2311yescharacteristic
400C2×Dic11⋊C4C2311yescharacteristic
401C2×Dic11⋊C4C2311yescharacteristic
402C2×Dic11⋊C4C2311yescharacteristic
403C2×Dic11⋊C4C2311yescharacteristic
404C2×Dic11⋊C4C2311yescharacteristic
405C2×Dic11⋊C4C2311yescharacteristic
406C2×Dic11⋊C4C2311yescharacteristic
407C2×Dic11⋊C4C2311yescharacteristic
408C2×Dic11⋊C4C2311yescharacteristic
409C2×Dic11⋊C4C2311yescharacteristic
410C2×Dic11⋊C4C2311yescharacteristic
411C2×Dic11⋊C4C2318yescomplemented
412C2×Dic11⋊C4C2318yescomplemented
413C2×C4×Dic11C2311yescharacteristic
414C2×C4×Dic11C2311yescharacteristic
415C2×C4×Dic11C2311yescharacteristic
416C2×C4×Dic11C2311yescharacteristic
417C2×C4×Dic11C2311yescharacteristic
418C2×C4×Dic11C2311yescharacteristic
419C2×C4×Dic11C2311yescharacteristic
420C2×C4×Dic11C2311yescharacteristic
421C2×C4×Dic11C2311yescharacteristic
422C2×C4×Dic11C2311yescharacteristic
423C2×C4×Dic11C2311yescharacteristic
424C2×C4×Dic11C2311yescharacteristic
425C2×C4×Dic11C2311yescharacteristic
426C2×C4×Dic11C2311yescharacteristic
427C2×C4×Dic11C2311yescharacteristic
428C2×C4×Dic11C2311yescharacteristic
429C2×C4×Dic11C2318yescomplemented
430C2×C4×Dic11C2318yescomplemented
431#66951C2318yescomplemented
432#66951C2318yescomplemented
433#66951C2318yescomplemented
434#66951C2318yescomplemented
435#66951C2318yescomplemented
436#66951C2318yescomplemented
437#66950C2318yes—
438#66949C2318yes—
439#66949C2318yes—
440#66949C2318yescomplemented
441#66949C2318yescomplemented
442#66949C2318yescomplemented
443#66949C2318yescomplemented
444#66948C2318yes—
445#66947C2318yes—
446#66947C2318yes—
447#66947C2318yes—
448#66947C2318yes—
449#66947C2318yescomplemented
450#66947C2318yescomplemented
451#66946C2318yes—
452#66946C2318yes—
453#66946C2318yes—
454#66945C2318yes—
455#66945C2318yes—
456#66945C2318yescomplemented
457C4⋊C4×D11C2318yes—
458C4⋊C4×D11C2318yescomplemented
459C4⋊C4×D11C2318yescomplemented
460#66943C2318yescomplemented
461#66942C2318yescomplemented
462#66942C2318yescomplemented
463#66942C2318yescomplemented
464#66942C2318yescomplemented
465#66942C2318yescomplemented
466#66942C2318yescomplemented
467#66941C2318yescomplemented
468#66940C2318yescomplemented
469#66940C2318yescomplemented
470#66940C2318yescomplemented
471#66939C2318yescomplemented
472#66939C2318yescomplemented
473#66938C2318yes—
474#66938C2318yes—
475#66938C2318yescomplemented
476#66938C2318yescomplemented
477#66937C2318yes—
478#66937C2318yes—
479#66937C2318yescomplemented
480#66937C2318yescomplemented
481#66936C2318yes—
482#66936C2318yes—
483#66936C2318yescomplemented
484#66936C2318yescomplemented
485#66935C2318yes—
486#66935C2318yes—
487(C22⋊D11)⋊C4C2318yes—
488(C22⋊D11)⋊C4C2318yes—
489(C22⋊D11)⋊C4C2318yes—
490(C22⋊D11)⋊C4C2318yes—
491(C22⋊D11)⋊C4C2318yes—
492(C22⋊D11)⋊C4C2318yescomplemented
493(C22⋊D11)⋊C4C2318yescomplemented
494(C22⋊D11)⋊C4C2318yescomplemented
495C22⋊C4×D11C2318yes—
496C22⋊C4×D11C2318yes—
497C22⋊C4×D11C2318yes—
498C22⋊C4×D11C2318yes—
499#66932C2318yescomplemented
500#66932C2318yescomplemented
501#66932C2318yescomplemented
502#66932C2318yescomplemented
503#66931C2318yescomplemented
504#66931C2318yescomplemented
505#66931C2318yescomplemented
506#66931C2318yescomplemented
507#66930C2318yescomplemented
508#66930C2318yescomplemented
509#66930C2318yescomplemented
510#66930C2318yescomplemented
511C4×D44C2318yes—
512C4×D44C2318yescomplemented
513C4×D44C2318yescomplemented
514C4×D44C2318yescomplemented
515#66925C2318yes—
516#66925C2318yes—
517#66925C2318yes—
518#66925C2318yes—
519#66925C2318yes—
520#66925C2318yescomplemented
521#66925C2318yescomplemented
522#66925C2318yescomplemented
523#66925C2318yescomplemented
524#66925C2318yescomplemented
525#66925C2318yescomplemented
526#66925C2318yescomplemented
527C42×D11C2318yes—
528C42×D11C2318yescomplemented
529C42×D11C2318yescomplemented
530C42×D11C2318yescomplemented
531C4×Dic22C2318yescomplemented
532C4×Dic22C2318yescomplemented
533C4×Dic22C2318yescomplemented
534C4×Dic22C2318yescomplemented
535C2×#3475—111nomaximal, Sylow
536C24×C11C2411yescharacteristic
537C24×C11C2411yescharacteristic
538C24×C11C2411yescharacteristic
539C23×D11—24no—
540C23×D11—24no—
541C23×D11—24no—
542C23×D11—24no—
543C23×D11—42no—
544C23×D11—42no—
545C23×D11C2411yescharacteristic
546C23×D11C2411yescharacteristic
547C23×D11C2414yes—
548C23×D11C2414yes—
549C23×D11C2411yescharacteristic
550C23×D11C2411yescharacteristic
551C2×Q8×C11—42no—
552C2×Q8×C11C2414yes—
553C2×D4×C11—24no—
554C2×D4×C11—24no—
555C2×D4×C11—42no—
556C2×D4×C11C2414yes—
557C2×D4×C11C2414yes—
558C2×D4×C11C2414yes—
559C22×C4×C11—24no—
560C22×C4×C11—24no—
561C22×C4×C11—24no—
562C22×C4×C11—24no—
563C22×C4×C11—42no—
564C22×C4×C11C2411yescharacteristic
565C22×C4×C11C2411yescharacteristic
566C22×C4×C11C2411yescharacteristic
567C22×C4×C11C2411yescharacteristic
568C22×C4×C11C2411yescharacteristic
569C22×C4×C11C2411yescharacteristic
570C22×C4×C11C2411yescharacteristic
571C22×C4×C11C2411yescharacteristic
572C22×C4×C11C2414yes—
573C22×C4×C11C2414yes—
574C22×C4×C11C2411yescharacteristic
575C22×C4×C11C2411yescharacteristic
576C22×C4×C11C2411yescharacteristic
577C22×C4×C11C2414yes—
578C22×C4×C11C2414yes—
579C22×C4×C11C2414yes—
580C22×C4×C11C2411yescharacteristic
581C2×C22⋊D11—24no—
582C2×C22⋊D11—24no—
583C2×C22⋊D11—24no—
584C2×C22⋊D11—24no—
585C2×C22⋊D11—24no—
586C2×C22⋊D11—42no—
587C2×C22⋊D11—42no—
588C2×C22⋊D11#4118yescomplemented
589C2×C22⋊D11C2414yes—
590C2×C22⋊D11C2414yes—
591C2×C22⋊D11C2414yes—
592C2×C22⋊D11C2414yes—
593C2×C22⋊D11C2414yes—
594C2×C22⋊D11C2414yes—
595C2×C22⋊D11C2414yes—
596C2×C22⋊D11C2414yes—
597C22×Dic11—24no—
598C22×Dic11—24no—
599C22×Dic11—24no—
600C22×Dic11—24no—
601C22×Dic11—42no—
602C22×Dic11—42no—
603C22×Dic11C2414yes—
604C22×Dic11C2414yes—
605C22×Dic11C2414yes—
606C22×Dic11C2414yes—
607C22×Dic11C2411yescharacteristic
608C22×Dic11C2411yescharacteristic
609C22×Dic11C2411yescharacteristic
610C22×Dic11C2411yescharacteristic
611C22×Dic11C2411yescharacteristic
612C22×Dic11C2411yescharacteristic
613C22×Dic11C2411yescharacteristic
614C22×Dic11C2411yescharacteristic
615C22×Dic11C2411yescharacteristic
616C22×Dic11C2411yescharacteristic
617C22×Dic11C2414yes—
618C22×Dic11C2414yes—
619C22×Dic11C2411yescharacteristic
620C22×Dic11C2411yescharacteristic
621#4341—232no—
622D4×D11—232no—
623#4339—232no—
624#4339—232no—
625C2×D44—24no—
626C2×D44—24no—
627C2×D44—24no—
628C2×D44—42no—
629C2×D44C2414yes—
630C2×D44C2414yes—
631C2×D44C2414yes—
632C2×D44C2414yes—
633C2×C4×D11—24no—
634C2×C4×D11—24no—
635C2×C4×D11—24no—
636C2×C4×D11—24no—
637C2×C4×D11—232no—
638C2×C4×D11—232no—
639C2×C4×D11—24no—
640C2×C4×D11—24no—
641C2×C4×D11—24no—
642C2×C4×D11—24no—
643C2×C4×D11—24no—
644C2×C4×D11—24no—
645C2×C4×D11—24no—
646C2×C4×D11—42no—
647C2×C4×D11—42no—
648C2×C4×D11—42no—
649C2×C4×D11—42no—
650C2×C4×D11#4118yescomplemented
651C2×C4×D11C2414yes—
652C2×C4×D11C2414yes—
653C2×C4×D11C2414yes—
654C2×C4×D11C2414yes—
655C2×C4×D11C2414yes—
656C2×C4×D11C2414yes—
657C2×C4×D11C2414yes—
658C2×C4×D11C2414yes—
659C2×C4×D11C2414yes—
660C2×C4×D11C2414yes—
661C2×C4×D11C2414yes—
662C2×C4×D11C2414yes—
663C2×C4×D11C2414yes—
664C2×C4×D11C2414yes—
665C2×C4×D11C2414yes—
666C2×C4×D11C2414yes—
667C2×Dic22—24no—
668C2×Dic22—24no—
669C2×Dic22—24no—
670C2×Dic22—42no—
671C2×Dic22C2414yes—
672C2×Dic22C2414yes—
673C2×Dic22C2414yes—
674C2×Dic22C2414yes—
675C11×C4⋊C4C2414yes—
676C11×C4⋊C4C2414yes—
677C11×C4⋊C4C2414yes—
678C11×C4⋊C4C2414yes—
679C11×C4⋊C4C2414yes—
680C11×C4⋊C4C2414yes—
681C11×C4⋊C4C2414yes—
682C11×C4⋊C4C2414yes—
683C11×C4⋊C4C2414yes—
684C11×C4⋊C4C2414yes—
685C11×C22⋊C4C2414yes—
686C11×C22⋊C4C2414yes—
687C11×C22⋊C4C2414yes—
688C11×C22⋊C4C2414yes—
689C11×C22⋊C4C2414yes—
690C11×C22⋊C4C2414yes—
691C11×C22⋊C4C2414yes—
692C11×C22⋊C4C2414yes—
693C11×C22⋊C4C2414yes—
694C11×C22⋊C4C2414yes—
695C42×C11C2414yes—
696C42×C11C2414yes—
697C42×C11C2414yes—
698C42×C11C2414yes—
699C42×C11C2414yes—
700C42×C11C2414yes—
701C22⋊Dic11C2414yes—
702C22⋊Dic11C2414yes—
703C22⋊Dic11C2414yes—
704C22⋊Dic11C2414yes—
705C22⋊Dic11C2414yes—
706C22⋊Dic11C2414yes—
707C22⋊Dic11C2414yes—
708C22⋊Dic11C2414yes—
709(C2×D11)⋊C4C2414yes—
710(C2×D11)⋊C4C2414yes—
711(C2×D11)⋊C4C2414yes—
712(C2×D11)⋊C4C2414yes—
713(C2×D11)⋊C4C2414yes—
714(C2×D11)⋊C4C2414yes—
715(C2×D11)⋊C4C2414yes—
716(C2×D11)⋊C4C2414yes—
717(C2×D11)⋊C4C2414yes—
718(C2×D11)⋊C4C2414yes—
719(C2×D11)⋊C4C2414yes—
720(C2×D11)⋊C4C2414yes—
721(C2×D11)⋊C4C2414yes—
722(C2×D11)⋊C4C2414yes—
723(C2×D11)⋊C4C2414yes—
724(C2×D11)⋊C4C2414yes—
725(C2×D11)⋊C4C2414yes—
726(C2×D11)⋊C4C2414yes—
727(C2×D11)⋊C4C2414yes—
728(C2×D11)⋊C4C2414yes—
729(C2×D11)⋊C4C2414yes—
730(C2×D11)⋊C4C2414yes—
731(C2×D11)⋊C4C2414yes—
732(C2×D11)⋊C4C2414yes—
733C4⋊Dic11C2414yes—
734C4⋊Dic11C2414yes—
735C4⋊Dic11C2414yes—
736C4⋊Dic11C2414yes—
737C4⋊Dic11C2414yes—
738C4⋊Dic11C2414yes—
739C4⋊Dic11C2414yes—
740C4⋊Dic11C2414yes—
741Dic11⋊C4C2414yes—
742Dic11⋊C4C2414yes—
743Dic11⋊C4C2414yes—
744Dic11⋊C4C2414yes—
745Dic11⋊C4C2414yes—
746Dic11⋊C4C2414yes—
747Dic11⋊C4C2414yes—
748Dic11⋊C4C2414yes—
749Dic11⋊C4C2414yes—
750Dic11⋊C4C2414yes—
751Dic11⋊C4C2414yes—
752Dic11⋊C4C2414yes—
753Dic11⋊C4C2414yes—
754Dic11⋊C4C2414yes—
755Dic11⋊C4C2414yes—
756Dic11⋊C4C2414yes—
757Dic11⋊C4C2414yes—
758Dic11⋊C4C2414yes—
759Dic11⋊C4C2414yes—
760Dic11⋊C4C2414yes—
761Dic11⋊C4C2414yes—
762Dic11⋊C4C2414yes—
763Dic11⋊C4C2414yes—
764Dic11⋊C4C2414yes—
765C4×Dic11C2414yes—
766C4×Dic11C2414yes—
767C4×Dic11C2414yes—
768C4×Dic11C2414yes—
769C4×Dic11C2414yes—
770C4×Dic11C2414yes—
771C4×Dic11C2414yes—
772C4×Dic11C2414yes—
773C4×Dic11C2414yes—
774C4×Dic11C2414yes—
775C4×Dic11C2414yes—
776C4×Dic11C2414yes—
777C4×Dic11C2414yes—
778C4×Dic11C2414yes—
779C4×Dic11C2414yes—
780C4×Dic11C2414yes—
781#3475—1132no—
782C2×#556—111no—
783C2×#555—111no—
784C2×#554—111no—
785C2×#553—111no—
786C2×#553—111no—
787C2×#552—111no—
788C2×#552—111no—
789C2×#552—111no—
790C2×#552—111no—
791C2×#551—111no—
792C2×#551—111no—
793C2×#551—111no—
794C2×#551—111no—
795C2×#547—111no—
796C2×#546—111no—
797C2×#546—111no—
798C2×#533—111no—
799C2×#529—111no—
800C2×#529—111no—
801C2×#529—111no—
802C2×#529—111no—
803C2×#529—111no—
804C2×#529D1111yescharacteristic, complemented
805C2×#525—111no—
806C2×#525—111no—
807C2×C4×#41—111no—
808C2×C4×#41—111no—
809C2×C4×#41—111no—
810C22×C4×D4—111no—
811C22×#117—111no—
812C22×#117—111no—
813C23×C11—22no—
814C23×C11—22no—
815C23×C11—22no—
816C23×C11—22no—
817C23×C11—22no—
818C23×C11—22no—
819C23×C11—22no—
820C23×C11—22no—
821C23×C11C2×#4114yes—
822C23×C11C2512yes—
823C23×C11C2512yes—
824C23×C11C2512yes—
825C23×C11C2511yescharacteristic
826C22×D11—22no—
827C22×D11—22no—
828C22×D11—22no—
829C22×D11—22no—
830C22×D11—22no—
831C22×D11—22no—
832C22×D11—22no—
833C22×D11—22no—
834C22×D11—28no—
835C22×D11—22no—
836C22×D11—22no—
837C22×D11—28no—
838C22×D11—28no—
839C22×D11—28no—
840C22×D11—44no—
841C22×D11—44no—
842C22×D11—416no—
843C22×D11—416no—
844C22×D11C2×#4114yes—
845C22×D11C2×#4114yes—
846C22×D11C2512yes—
847C22×D11C2512yes—
848C22×D11C2512yes—
849C22×D11C2512yes—
850Q8×C11—44no—
851D4×C11—28no—
852D4×C11—28no—
853D4×C11—44no—
854C2×C4×C11—22no—
855C2×C4×C11—22no—
856C2×C4×C11—22no—
857C2×C4×C11—22no—
858C2×C4×C11—22no—
859C2×C4×C11—22no—
860C2×C4×C11—22no—
861C2×C4×C11—28no—
862C2×C4×C11—22no—
863C2×C4×C11—22no—
864C2×C4×C11—22no—
865C2×C4×C11—22no—
866C2×C4×C11—28no—
867C2×C4×C11—28no—
868C2×C4×C11—28no—
869C2×C4×C11—44no—
870C2×C4×C11C2×#4114yes—
871C2×C4×C11C2512yes—
872C2×C4×C11C2512yes—
873C2×C4×C11C2512yes—
874C2×C4×C11C2512yes—
875C2×C4×C11C2512yes—
876C2×C4×C11C2512yes—
877C2×C4×C11C2512yes—
878C2×C4×C11C2512yes—
879C2×C4×C11C2512yes—
880C2×C4×C11C2512yes—
881C2×C4×C11C2512yes—
882C2×C4×C11C2512yes—
883C22⋊D11—28no—
884C22⋊D11—28no—
885C22⋊D11—28no—
886C22⋊D11—28no—
887C22⋊D11—28no—
888C22⋊D11—44no—
889C22⋊D11—44no—
890C22⋊D11C2×#41116yescomplemented
891C2×Dic11—22no—
892C2×Dic11—22no—
893C2×Dic11—22no—
894C2×Dic11—22no—
895C2×Dic11—22no—
896C2×Dic11—22no—
897C2×Dic11—28no—
898C2×Dic11—22no—
899C2×Dic11—22no—
900C2×Dic11—22no—
901C2×Dic11—22no—
902C2×Dic11—28no—
903C2×Dic11—28no—
904C2×Dic11—28no—
905C2×Dic11—44no—
906C2×Dic11—44no—
907C2×Dic11C2×#4114yes—
908C2×Dic11C2×#4114yes—
909C2×Dic11C2512yes—
910C2×Dic11C2512yes—
911C2×Dic11C2512yes—
912C2×Dic11C2512yes—
913C2×Dic11C2512yes—
914C2×Dic11C2512yes—
915C2×Dic11C2512yes—
916C2×Dic11C2512yes—
917C2×Dic11C2512yes—
918C2×Dic11C2512yes—
919C2×Dic11C2512yes—
920C2×Dic11C2512yes—
921D44—28no—
922D44—28no—
923D44—28no—
924D44—44no—
925C4×D11—28no—
926C4×D11—28no—
927C4×D11—28no—
928C4×D11—28no—
929C4×D11—28no—
930C4×D11—28no—
931C4×D11—28no—
932C4×D11—28no—
933C4×D11—28no—
934C4×D11—28no—
935C4×D11—28no—
936C4×D11—44no—
937C4×D11—44no—
938C4×D11—44no—
939C4×D11—44no—
940C4×D11C2×#41116yescomplemented
941Dic22—28no—
942Dic22—28no—
943Dic22—28no—
944Dic22—44no—
945C22×#41—111no—
946C22×#41—111no—
947C22×#41—111no—
948C23×D4—111no—
949C24×C4—111no—
950C24×C4—111no—
951#556—1116no—
952#555—1116no—
953#554—1116no—
954#553—1116no—
955#553—1116no—
956#552—1116no—
957#552—1116no—
958#552—1116no—
959#552—1116no—
960#551—1116no—
961#551—1116no—
962#551—1116no—
963#551—1116no—
964#547—1116no—
965#546—1116no—
966#546—1116no—
967#533—1116no—
968C2×C4⋊Q8—111no—
969C2×C4⋊Q8—111no—
970#529—1116no—
971#529—1116no—
972#529—1116no—
973#529—1116no—
974#529—1116no—
975#529C2×D11116yescomplemented
976C2×#126—111no—
977C2×#126—111no—
978C2×#126—111no—
979C2×#126—111no—
980C2×#126—111no—
981C2×#126—111no—
982C2×#126—111no—
983C2×#126—111no—
984C2×#126—111no—
985C2×#126—111no—
986C2×#126C2×D1111yescharacteristic, complemented
987C2×#126C2×D1111yescharacteristic, complemented
988C2×#125—111no—
989C2×#125—111no—
990C2×#125—111no—
991C2×#125—111no—
992C2×#125—111no—
993C2×#125—111no—
994C2×#125—111no—
995C2×#125C2×D1111yescharacteristic, complemented
996C2×#124—111no—
997C2×#124—111no—
998C2×#124—111no—
999C2×#124—111no—
1000C2×#124—111no—
1001C2×#124C2×D1111yescharacteristic, complemented
1002#525—1116no—
1003#525—1116no—
1004C2×#123—111no—
1005C2×#123—111no—
1006C2×#123—111no—
1007C2×#123—111no—
1008C2×#123—111no—
1009C2×#123—111no—
1010C2×#123—111no—
1011C2×#123—111no—
1012C2×#123—111no—
1013C2×#123—111no—
1014C2×#123—111no—
1015C2×#123—111no—
1016C2×#123—111no—
1017C2×#123—111no—
1018C2×#123C2×D1111yescharacteristic
1019C2×#123C2×D1111yescharacteristic, complemented
1020C2×C22⋊Q8—111no—
1021C2×C22⋊Q8—111no—
1022C2×C22⋊Q8—111no—
1023C2×C22⋊Q8—111no—
1024C2×C22⋊Q8—111no—
1025C2×C22⋊Q8—111no—
1026C2×C22⋊Q8—111no—
1027C2×C22⋊Q8—111no—
1028C2×C22⋊Q8—111no—
1029C2×C22⋊Q8—111no—
1030C2×C22⋊Q8—111no—
1031C2×C22⋊Q8—111no—
1032C2×C22⋊Q8—111no—
1033C2×C22⋊Q8C2×D1111yescharacteristic, complemented
1034C2×#121—111no—
1035C2×#121—111no—
1036C2×#121—111no—
1037C2×#121—111no—
1038C2×#121—111no—
1039C2×#121—111no—
1040C2×#121—111no—
1041C2×#121—111no—
1042C2×#121—111no—
1043C2×#121C2×D1111yescharacteristic
1044C2×#120—111no—
1045C2×#120—111no—
1046C2×#120—111no—
1047C2×#120—111no—
1048C4×#41—1116no—
1049C4×#41—1116no—
1050C4×#41—1116no—
1051C2×C4×Q8—111no—
1052C2×C4×Q8—111no—
1053C2×C4×Q8—111no—
1054C2×C4×Q8—111no—
1055C2×C4×Q8—111no—
1056C2×C4×Q8—111no—
1057C2×C4×Q8—111no—
1058C2×C4×Q8C2×D1111yescharacteristic, complemented
1059C2×C4×D4—111no—
1060C2×C4×D4—111no—
1061C2×C4×D4—111no—
1062C2×C4×D4—111no—
1063C2×C4×D4—111no—
1064C2×C4×D4—111no—
1065C2×C4×D4—111no—
1066C2×C4×D4—111no—
1067C2×C4×D4—111no—
1068C2×C4×D4—111no—
1069C2×C4×D4—1116no—
1070C2×C4×D4—111no—
1071C2×C4×D4—111no—
1072C2×C4×D4—111no—
1073C2×C4×D4—111no—
1074C2×C4×D4—111no—
1075C2×C4×D4—111no—
1076C2×C4×D4—111no—
1077C2×C4×D4—111no—
1078C2×C4×D4—111no—
1079C2×C4×D4—111no—
1080C2×C4×D4—111no—
1081C2×C4×D4—111no—
1082C2×C4×D4—111no—
1083C2×C4×D4—111no—
1084C2×C4×D4—111no—
1085C2×C4×D4C2×D1111yescharacteristic
1086C2×C4×D4C2×D1111yescharacteristic, complemented
1087C2×C4×D4C2×D1111yescharacteristic, complemented
1088C2×#117—111no—
1089C2×#117—111no—
1090C2×#117—1116no—
1091C2×#117—111no—
1092C2×#117—111no—
1093C2×#117—111no—
1094C2×#117—111no—
1095C2×#117—111no—
1096C2×#117—111no—
1097C2×#117—111no—
1098C2×#117—111no—
1099C2×#117—111no—
1100C2×#117—111no—
1101C2×#117—111no—
1102C2×#117—111no—
1103C2×#117—111no—
1104C2×#117—111no—
1105C2×#117—111no—
1106C2×#117—111no—
1107C2×#117—111no—
1108C2×#117—111no—
1109C2×#117—111no—
1110C2×#117—1116no—
1111C2×#117C2×D1111yescharacteristic, complemented
1112C2×#117C2×D1111yescharacteristic, complemented
1113C22×C4⋊C4—111no—
1114C22×C4⋊C4—111no—
1115C22×C4⋊C4—111no—
1116C22×C4⋊C4—111no—
1117C22×C4⋊C4—111no—
1118C22×C22⋊C4—111no—
1119C22×C22⋊C4—111no—
1120C22×C22⋊C4—111no—
1121C22×C22⋊C4—111no—
1122C22×C22⋊C4—111no—
1123C22×C22⋊C4—111no—
1124C22×C42—111no—
1125C22×C42—111no—
1126C22×C42—111no—
1127C22×C42—111no—
1128C22×C42—111no—
1129C22×C42—111no—
1130C22×C42C2×D1111yescharacteristic, complemented
1131C22×C11—22no—
1132C22×C11—22no—
1133C22×C11—28no—
1134C22×C11—22no—
1135C22×C11—22no—
1136C22×C11—22no—
1137C22×C11—22no—
1138C22×C11—22no—
1139C22×C11—22no—
1140C22×C11—44no—
1141C22×C11—44no—
1142C22×C11C22×#4114yes—
1143C22×C11C22×#4112yes—
1144C22×C11C22×#4112yes—
1145C22×C11#58512yes—
1146C22×C11C2611yescharacteristic
1147C2×D11—22no—
1148C2×D11—22no—
1149C2×D11—22no—
1150C2×D11—22no—
1151C2×D11—28no—
1152C2×D11—28no—
1153C2×D11—22no—
1154C2×D11—22no—
1155C2×D11—22no—
1156C2×D11—22no—
1157C2×D11—22no—
1158C2×D11—22no—
1159C2×D11—416no—
1160C2×D11—416no—
1161C2×D11—44no—
1162C2×D11—44no—
1163C2×D11C22×#4114yes—
1164C2×D11C22×#4114yes—
1165C4×C11—22no—
1166C4×C11—22no—
1167C4×C11—22no—
1168C4×C11—22no—
1169C4×C11—22no—
1170C4×C11—22no—
1171C4×C11—22no—
1172C4×C11—22no—
1173C4×C11—22no—
1174C4×C11—22no—
1175C4×C11—22no—
1176C4×C11C22×#4114yes—
1177Dic11—22no—
1178Dic11—22no—
1179Dic11—22no—
1180Dic11—22no—
1181Dic11—22no—
1182Dic11—22no—
1183Dic11—22no—
1184Dic11—22no—
1185Dic11—22no—
1186Dic11—22no—
1187Dic11C22×#4114yes—
1188Dic11C22×#4114yes—
1189C25—111no—
1190C25—111no—
1191C2×#41—118no—
1192C2×#41—118no—
1193C2×#41—118no—
1194C2×#41—228no—
1195C2×#41—228no—
1196C2×#41—228no—
1197C22×Q8—111no—
1198C22×Q8—111no—
1199C22×Q8—111no—
1200C22×Q8—111no—
1201C22×Q8C22×D1111yescharacteristic
1202C22×D4—111no—
1203C22×D4—111no—
1204C22×D4—111no—
1205C22×D4—111no—
1206C22×D4—111no—
1207C22×D4—111no—
1208C22×D4—111no—
1209C22×D4—111no—
1210C22×D4—118no—
1211C22×D4—111no—
1212C22×D4—111no—
1213C22×D4—111no—
1214C22×D4—111no—
1215C22×D4—228no—
1216C22×D4C22×D1111yescharacteristic
1217C22×D4C22×D1111yescharacteristic
1218C22×D4C22×D1111yescharacteristic
1219C23×C4—111no—
1220C23×C4—111no—
1221C23×C4—111no—
1222C23×C4—111no—
1223C23×C4—111no—
1224C23×C4—111no—
1225C23×C4—111no—
1226C23×C4—111no—
1227C23×C4—111no—
1228C23×C4—111no—
1229C23×C4—111no—
1230C23×C4—111no—
1231C23×C4—111no—
1232C23×C4—111no—
1233C23×C4—118no—
1234C23×C4—118no—
1235C23×C4—111no—
1236C23×C4—111no—
1237C23×C4—111no—
1238C23×C4—111no—
1239C23×C4—111no—
1240C23×C4—111no—
1241C23×C4—111no—
1242C23×C4—111no—
1243C23×C4—228no—
1244C23×C4—228no—
1245C23×C4C22×D1111yescharacteristic
1246C23×C4C22×D1111yescharacteristic
1247C23×C4C22×D1111yescharacteristic
1248C23×C4C22×D1111yescharacteristic
1249C23×C4C22×D1111yescharacteristic
1250C4⋊Q8—118no—
1251C4⋊Q8—118no—
1252#126—118no—
1253#126—118no—
1254#126—118no—
1255#126—118no—
1256#126—118no—
1257#126—118no—
1258#126—118no—
1259#126—118no—
1260#126—118no—
1261#126—118no—
1262#126C22×D1118yescomplemented
1263#126C22×D1118yescomplemented
1264#125—118no—
1265#125—118no—
1266#125—118no—
1267#125—118no—
1268#125—118no—
1269#125—118no—
1270#125—118no—
1271#125C22×D1118yescomplemented
1272#124—118no—
1273#124—118no—
1274#124—118no—
1275#124—118no—
1276#124—118no—
1277#124C22×D1118yescomplemented
1278#123—118no—
1279#123—118no—
1280#123—118no—
1281#123—118no—
1282#123—118no—
1283#123—118no—
1284#123—118no—
1285#123—118no—
1286#123—118no—
1287#123—118no—
1288#123—118no—
1289#123—118no—
1290#123—118no—
1291#123—118no—
1292#123C22×D1118yes—
1293#123C22×D1118yescomplemented
1294C22⋊Q8—118no—
1295C22⋊Q8—118no—
1296C22⋊Q8—118no—
1297C22⋊Q8—118no—
1298C22⋊Q8—118no—
1299C22⋊Q8—118no—
1300C22⋊Q8—118no—
1301C22⋊Q8—118no—
1302C22⋊Q8—118no—
1303C22⋊Q8—118no—
1304C22⋊Q8—118no—
1305C22⋊Q8—118no—
1306C22⋊Q8—118no—
1307C22⋊Q8C22×D1118yescomplemented
1308#121—118no—
1309#121—118no—
1310#121—118no—
1311#121—118no—
1312#121—118no—
1313#121—118no—
1314#121—118no—
1315#121—118no—
1316#121—118no—
1317#121C22×D1118yes—
1318#120—118no—
1319#120—118no—
1320#120—118no—
1321#120—118no—
1322C4×Q8—118no—
1323C4×Q8—118no—
1324C4×Q8—118no—
1325C4×Q8—118no—
1326C4×Q8—118no—
1327C4×Q8—118no—
1328C4×Q8—118no—
1329C4×Q8C22×D1118yescomplemented
1330C4×D4—118no—
1331C4×D4—118no—
1332C4×D4—118no—
1333C4×D4—118no—
1334C4×D4—118no—
1335C4×D4—118no—
1336C4×D4—118no—
1337C4×D4—118no—
1338C4×D4—118no—
1339C4×D4—118no—
1340C4×D4—118no—
1341C4×D4—118no—
1342C4×D4—118no—
1343C4×D4—118no—
1344C4×D4—118no—
1345C4×D4—118no—
1346C4×D4—118no—
1347C4×D4—118no—
1348C4×D4—118no—
1349C4×D4—118no—
1350C4×D4—118no—
1351C4×D4—118no—
1352C4×D4—118no—
1353C4×D4—118no—
1354C4×D4—118no—
1355C4×D4C22×D1118yes—
1356C4×D4C22×D1118yescomplemented
1357C4×D4C22×D1118yescomplemented
1358#117—118no—
1359#117—118no—
1360#117—118no—
1361#117—118no—
1362#117—118no—
1363#117—118no—
1364#117—118no—
1365#117—118no—
1366#117—118no—
1367#117—118no—
1368#117—118no—
1369#117—118no—
1370#117—118no—
1371#117—118no—
1372#117—118no—
1373#117—118no—
1374#117—118no—
1375#117—118no—
1376#117—118no—
1377#117—118no—
1378#117—118no—
1379#117C22×D1118yescomplemented
1380#117C22×D1118yescomplemented
1381C2×C4⋊C4—111no—
1382C2×C4⋊C4—111no—
1383C2×C4⋊C4—111no—
1384C2×C4⋊C4—111no—
1385C2×C4⋊C4—111no—
1386C2×C4⋊C4—111no—
1387C2×C4⋊C4—111no—
1388C2×C4⋊C4—111no—
1389C2×C4⋊C4—111no—
1390C2×C4⋊C4—111no—
1391C2×C4⋊C4—111no—
1392C2×C4⋊C4—111no—
1393C2×C4⋊C4—111no—
1394C2×C4⋊C4—118no—
1395C2×C4⋊C4—118no—
1396C2×C4⋊C4—111no—
1397C2×C4⋊C4—111no—
1398C2×C4⋊C4—111no—
1399C2×C4⋊C4—111no—
1400C2×C4⋊C4—111no—
1401C2×C4⋊C4—111no—
1402C2×C4⋊C4—111no—
1403C2×C4⋊C4—111no—
1404C2×C4⋊C4—111no—
1405C2×C4⋊C4—111no—
1406C2×C4⋊C4—111no—
1407C2×C4⋊C4—111no—
1408C2×C4⋊C4—111no—
1409C2×C4⋊C4—111no—
1410C2×C4⋊C4—111no—
1411C2×C4⋊C4—111no—
1412C2×C4⋊C4—111no—
1413C2×C4⋊C4—111no—
1414C2×C4⋊C4—111no—
1415C2×C4⋊C4—118no—
1416C2×C4⋊C4—118no—
1417C2×C4⋊C4—118no—
1418C2×C4⋊C4C22×D1111yescharacteristic
1419C2×C4⋊C4C22×D1111yescharacteristic
1420C2×C4⋊C4C22×D1111yescharacteristic
1421C2×C4⋊C4C22×D1111yescharacteristic
1422C2×C4⋊C4C22×D1111yescharacteristic
1423C2×C4⋊C4C22×D1111yescharacteristic
1424C2×C4⋊C4C22×D1111yescharacteristic
1425C2×C4⋊C4C22×D1111yescharacteristic
1426C2×C4⋊C4C22×D1111yescharacteristic
1427C2×C4⋊C4C22×D1111yescharacteristic
1428C2×C22⋊C4—111no—
1429C2×C22⋊C4—111no—
1430C2×C22⋊C4—111no—
1431C2×C22⋊C4—111no—
1432C2×C22⋊C4—111no—
1433C2×C22⋊C4—111no—
1434C2×C22⋊C4—111no—
1435C2×C22⋊C4—111no—
1436C2×C22⋊C4—111no—
1437C2×C22⋊C4—111no—
1438C2×C22⋊C4—111no—
1439C2×C22⋊C4—111no—
1440C2×C22⋊C4—111no—
1441C2×C22⋊C4—111no—
1442C2×C22⋊C4—111no—
1443C2×C22⋊C4—111no—
1444C2×C22⋊C4—111no—
1445C2×C22⋊C4—111no—
1446C2×C22⋊C4—111no—
1447C2×C22⋊C4—118no—
1448C2×C22⋊C4—118no—
1449C2×C22⋊C4—111no—
1450C2×C22⋊C4—111no—
1451C2×C22⋊C4—111no—
1452C2×C22⋊C4—111no—
1453C2×C22⋊C4—111no—
1454C2×C22⋊C4—111no—
1455C2×C22⋊C4—111no—
1456C2×C22⋊C4—111no—
1457C2×C22⋊C4—111no—
1458C2×C22⋊C4—111no—
1459C2×C22⋊C4—111no—
1460C2×C22⋊C4—111no—
1461C2×C22⋊C4—111no—
1462C2×C22⋊C4—118no—
1463C2×C22⋊C4—118no—
1464C2×C22⋊C4—118no—
1465C2×C22⋊C4—118no—
1466C2×C22⋊C4C22×D1111yescharacteristic
1467C2×C22⋊C4C22×D1111yescharacteristic
1468C2×C22⋊C4C22×D1111yescharacteristic
1469C2×C22⋊C4C22×D1111yescharacteristic
1470C2×C22⋊C4C22×D1111yescharacteristic
1471C2×C22⋊C4C22×D1111yescharacteristic
1472C2×C22⋊C4C22×D1111yescharacteristic
1473C2×C22⋊C4C22×D1111yescharacteristic
1474C2×C22⋊C4C22×D1111yescharacteristic
1475C2×C22⋊C4C22×D1111yescharacteristic
1476C2×C42—111no—
1477C2×C42—111no—
1478C2×C42—111no—
1479C2×C42—111no—
1480C2×C42—111no—
1481C2×C42—111no—
1482C2×C42—111no—
1483C2×C42—111no—
1484C2×C42—118no—
1485C2×C42—111no—
1486C2×C42—111no—
1487C2×C42—111no—
1488C2×C42—111no—
1489C2×C42—118no—
1490C2×C42—111no—
1491C2×C42—111no—
1492C2×C42—111no—
1493C2×C42—111no—
1494C2×C42—118no—
1495C2×C42—118no—
1496C2×C42—118no—
1497C2×C42—118no—
1498C2×C42C22×D1111yescharacteristic
1499C2×C42C22×D1111yescharacteristic
1500C2×C42C22×D1111yescharacteristic
1501C2×C42C22×D1111yescharacteristic
1502C2×C42C22×D1111yescharacteristic
1503C2×C42C22×D1111yescharacteristic
1504C2×C42C22×D1118yescomplemented
1505C2×C11—24no—
1506C2×C11—42no—
1507C2×C11—42no—
1508C2×C11#347514yescomplemented
1509C2×C11C23×#4111yescharacteristic
1510C2×C11C23×#4111yescharacteristic
1511C2×C11C2×#58511yescharacteristic
1512D11—24no—
1513D11—24no—
1514D11—42no—
1515D11—42no—
1516C24—111no—
1517C24—111no—
1518C24—111no—
1519C24—111no—
1520C24—114no—
1521C24—114no—
1522C24—224no—
1523C24—224no—
1524C24—224no—
1525C24—224no—
1526C24—442no—
1527C24—442no—
1528C24C23×D1111yescharacteristic
1529C24C23×D1111yescharacteristic
1530C24C23×D1111yescharacteristic
1531#41—2232no—
1532#41—2232no—
1533#41—2232no—
1534C2×Q8—42no—
1535C2×Q8—114no—
1536C2×Q8—114no—
1537C2×Q8—114no—
1538C2×Q8—114no—
1539C2×Q8—224no—
1540C2×Q8—224no—
1541C2×Q8—224no—
1542C2×Q8—442no—
1543C2×Q8C23×D1114yes—
1544C2×D4—24no—
1545C2×D4—24no—
1546C2×D4—42no—
1547C2×D4—118no—
1548C2×D4—114no—
1549C2×D4—114no—
1550C2×D4—114no—
1551C2×D4—114no—
1552C2×D4—114no—
1553C2×D4—114no—
1554C2×D4—114no—
1555C2×D4—114no—
1556C2×D4—114no—
1557C2×D4—114no—
1558C2×D4—114no—
1559C2×D4—114no—
1560C2×D4—224no—
1561C2×D4—224no—
1562C2×D4—224no—
1563C2×D4—224no—
1564C2×D4—224no—
1565C2×D4—2232no—
1566C2×D4—224no—
1567C2×D4—224no—
1568C2×D4—224no—
1569C2×D4—442no—
1570C2×D4—442no—
1571C2×D4—442no—
1572C2×D4C23×D1114yes—
1573C2×D4C23×D1114yes—
1574C2×D4C23×D1114yes—
1575C22×C4—24no—
1576C22×C4—24no—
1577C22×C4—24no—
1578C22×C4—24no—
1579C22×C4—42no—
1580C22×C4—111no—
1581C22×C4—111no—
1582C22×C4—118no—
1583C22×C4—114no—
1584C22×C4—111no—
1585C22×C4—111no—
1586C22×C4—111no—
1587C22×C4—111no—
1588C22×C4—111no—
1589C22×C4—111no—
1590C22×C4—111no—
1591C22×C4—111no—
1592C22×C4—111no—
1593C22×C4—114no—
1594C22×C4—114no—
1595C22×C4—111no—
1596C22×C4—114no—
1597C22×C4—114no—
1598C22×C4—114no—
1599C22×C4—114no—
1600C22×C4—114no—
1601C22×C4—114no—
1602C22×C4—114no—
1603C22×C4—114no—
1604C22×C4—114no—
1605C22×C4—114no—
1606C22×C4—114no—
1607C22×C4—114no—
1608C22×C4—114no—
1609C22×C4—114no—
1610C22×C4—114no—
1611C22×C4—114no—
1612C22×C4—114no—
1613C22×C4—114no—
1614C22×C4—114no—
1615C22×C4—224no—
1616C22×C4—224no—
1617C22×C4—2232no—
1618C22×C4—2232no—
1619C22×C4—224no—
1620C22×C4—224no—
1621C22×C4—224no—
1622C22×C4—224no—
1623C22×C4—224no—
1624C22×C4—224no—
1625C22×C4—224no—
1626C22×C4—224no—
1627C22×C4—224no—
1628C22×C4—224no—
1629C22×C4—224no—
1630C22×C4—224no—
1631C22×C4—224no—
1632C22×C4—442no—
1633C22×C4—442no—
1634C22×C4—442no—
1635C22×C4—442no—
1636C22×C4—442no—
1637C22×C4—442no—
1638C22×C4C23×D1111yescharacteristic
1639C22×C4C23×D1111yescharacteristic
1640C22×C4C23×D1111yescharacteristic
1641C22×C4C23×D1114yes—
1642C22×C4C23×D1111yescharacteristic
1643C22×C4C23×D1114yes—
1644C22×C4C23×D1111yescharacteristic
1645C22×C4C23×D1111yescharacteristic
1646C22×C4C23×D1111yescharacteristic
1647C22×C4C23×D1111yescharacteristic
1648C22×C4C23×D1111yescharacteristic
1649C22×C4C23×D1111yescharacteristic
1650C22×C4C23×D1114yes—
1651C22×C4C23×D1111yescharacteristic
1652C22×C4C23×D1114yes—
1653C22×C4C23×D1114yes—
1654C22×C4C23×D1111yescharacteristic
1655C4⋊C4—114no—
1656C4⋊C4—114no—
1657C4⋊C4—114no—
1658C4⋊C4—114no—
1659C4⋊C4—114no—
1660C4⋊C4—114no—
1661C4⋊C4—114no—
1662C4⋊C4—114no—
1663C4⋊C4—114no—
1664C4⋊C4—114no—
1665C4⋊C4—114no—
1666C4⋊C4—114no—
1667C4⋊C4—114no—
1668C4⋊C4—114no—
1669C4⋊C4—114no—
1670C4⋊C4—114no—
1671C4⋊C4—114no—
1672C4⋊C4—114no—
1673C4⋊C4—114no—
1674C4⋊C4—114no—
1675C4⋊C4—114no—
1676C4⋊C4—114no—
1677C4⋊C4—114no—
1678C4⋊C4—114no—
1679C4⋊C4—114no—
1680C4⋊C4—114no—
1681C4⋊C4—114no—
1682C4⋊C4—114no—
1683C4⋊C4—114no—
1684C4⋊C4—114no—
1685C4⋊C4—114no—
1686C4⋊C4—114no—
1687C4⋊C4C23×D1114yes—
1688C4⋊C4C23×D1114yes—
1689C4⋊C4C23×D1114yes—
1690C4⋊C4C23×D1114yes—
1691C4⋊C4C23×D1114yes—
1692C4⋊C4C23×D1114yes—
1693C4⋊C4C23×D1114yes—
1694C4⋊C4C23×D1114yes—
1695C4⋊C4C23×D1114yes—
1696C4⋊C4C23×D1114yes—
1697C22⋊C4—114no—
1698C22⋊C4—114no—
1699C22⋊C4—114no—
1700C22⋊C4—114no—
1701C22⋊C4—114no—
1702C22⋊C4—114no—
1703C22⋊C4—114no—
1704C22⋊C4—114no—
1705C22⋊C4—114no—
1706C22⋊C4—114no—
1707C22⋊C4—114no—
1708C22⋊C4—114no—
1709C22⋊C4—114no—
1710C22⋊C4—114no—
1711C22⋊C4—114no—
1712C22⋊C4—114no—
1713C22⋊C4—114no—
1714C22⋊C4—114no—
1715C22⋊C4—114no—
1716C22⋊C4—114no—
1717C22⋊C4—114no—
1718C22⋊C4—114no—
1719C22⋊C4—114no—
1720C22⋊C4—114no—
1721C22⋊C4—114no—
1722C22⋊C4—114no—
1723C22⋊C4—114no—
1724C22⋊C4—114no—
1725C22⋊C4—114no—
1726C22⋊C4—114no—
1727C22⋊C4—114no—
1728C22⋊C4—114no—
1729C22⋊C4C23×D1114yes—
1730C22⋊C4C23×D1114yes—
1731C22⋊C4C23×D1114yes—
1732C22⋊C4C23×D1114yes—
1733C22⋊C4C23×D1114yes—
1734C22⋊C4C23×D1114yes—
1735C22⋊C4C23×D1114yes—
1736C22⋊C4C23×D1114yes—
1737C22⋊C4C23×D1114yes—
1738C22⋊C4C23×D1114yes—
1739C42—114no—
1740C42—114no—
1741C42—114no—
1742C42—114no—
1743C42—114no—
1744C42—114no—
1745C42—114no—
1746C42—114no—
1747C42—114no—
1748C42—114no—
1749C42—114no—
1750C42—114no—
1751C42—114no—
1752C42—114no—
1753C42—114no—
1754C42—114no—
1755C42C23×D1114yes—
1756C42C23×D1114yes—
1757C42C23×D1114yes—
1758C42C23×D1114yes—
1759C42C23×D1114yes—
1760C42C23×D1114yes—
1761C11C2×#347511yescharacteristic, complemented, Sylow
1762C23—22no—
1763C23—22no—
1764C23—22no—
1765C23—22no—
1766C23—22no—
1767C23—22no—
1768C23—22no—
1769C23—22no—
1770C23—114no—
1771C23—114no—
1772C23—112no—
1773C23—112no—
1774C23—112no—
1775C23—112no—
1776C23—228no—
1777C23—228no—
1778C23—228no—
1779C23—222no—
1780C23—222no—
1781C23—222no—
1782C23—222no—
1783C23—222no—
1784C23—222no—
1785C23—222no—
1786C23—228no—
1787C23—222no—
1788C23—222no—
1789C23—222no—
1790C23—444no—
1791C23—444no—
1792C23—4416no—
1793C23—4416no—
1794C23#41×D1114yes—
1795C23C24×D1112yes—
1796C23C24×D1112yes—
1797C23C24×D1112yes—
1798C23C24×D1111yescharacteristic
1799Q8—44no—
1800Q8—228no—
1801Q8—228no—
1802Q8—228no—
1803Q8—444no—
1804D4—28no—
1805D4—28no—
1806D4—44no—
1807D4—1116no—
1808D4—228no—
1809D4—228no—
1810D4—228no—
1811D4—228no—
1812D4—228no—
1813D4—228no—
1814D4—228no—
1815D4—228no—
1816D4—444no—
1817D4—444no—
1818D4—444no—
1819C2×C4—22no—
1820C2×C4—22no—
1821C2×C4—22no—
1822C2×C4—22no—
1823C2×C4—22no—
1824C2×C4—28no—
1825C2×C4—22no—
1826C2×C4—22no—
1827C2×C4—22no—
1828C2×C4—22no—
1829C2×C4—22no—
1830C2×C4—22no—
1831C2×C4—28no—
1832C2×C4—28no—
1833C2×C4—28no—
1834C2×C4—44no—
1835C2×C4—114no—
1836C2×C4—114no—
1837C2×C4—112no—
1838C2×C4—112no—
1839C2×C4—1116no—
1840C2×C4—112no—
1841C2×C4—112no—
1842C2×C4—112no—
1843C2×C4—112no—
1844C2×C4—112no—
1845C2×C4—112no—
1846C2×C4—112no—
1847C2×C4—112no—
1848C2×C4—112no—
1849C2×C4—112no—
1850C2×C4—228no—
1851C2×C4—228no—
1852C2×C4—228no—
1853C2×C4—228no—
1854C2×C4—228no—
1855C2×C4—228no—
1856C2×C4—228no—
1857C2×C4—228no—
1858C2×C4—228no—
1859C2×C4—228no—
1860C2×C4—228no—
1861C2×C4—222no—
1862C2×C4—222no—
1863C2×C4—222no—
1864C2×C4—222no—
1865C2×C4—222no—
1866C2×C4—222no—
1867C2×C4—228no—
1868C2×C4—222no—
1869C2×C4—222no—
1870C2×C4—222no—
1871C2×C4—222no—
1872C2×C4—228no—
1873C2×C4—228no—
1874C2×C4—228no—
1875C2×C4—444no—
1876C2×C4—444no—
1877C2×C4—444no—
1878C2×C4—444no—
1879C2×C4—444no—
1880C2×C4—444no—
1881C2×C4#41×D1114yes—
1882C2×C4C24×D1112yes—
1883C2×C4C24×D1112yes—
1884C2×C4C24×D1112yes—
1885C2×C4C24×D1112yes—
1886C2×C4C24×D1112yes—
1887C2×C4C24×D1112yes—
1888C2×C4C24×D1112yes—
1889C2×C4C24×D1112yes—
1890C2×C4C24×D1112yes—
1891C2×C4C24×D1112yes—
1892C2×C4C24×D1112yes—
1893C2×C4C24×D1112yes—
1894C22—22no—
1895C22—22no—
1896C22—28no—
1897C22—22no—
1898C22—22no—
1899C22—22no—
1900C22—22no—
1901C22—22no—
1902C22—22no—
1903C22—44no—
1904C22—44no—
1905C22—114no—
1906C22—114no—
1907C22—222no—
1908C22—222no—
1909C22—222no—
1910C22—222no—
1911C22—228no—
1912C22—228no—
1913C22—222no—
1914C22—222no—
1915C22—222no—
1916C22—222no—
1917C22—222no—
1918C22—222no—
1919C22—4416no—
1920C22—4416no—
1921C22—444no—
1922C22—444no—
1923C22C2×#41×D1114yes—
1924C22C2×#41×D1112yes—
1925C22C2×#41×D1112yes—
1926C22#1062345312yes—
1927C22C25×D1111yescharacteristic
1928C4—22no—
1929C4—22no—
1930C4—22no—
1931C4—22no—
1932C4—22no—
1933C4—22no—
1934C4—22no—
1935C4—22no—
1936C4—22no—
1937C4—22no—
1938C4—22no—
1939C4—114no—
1940C4—114no—
1941C4—222no—
1942C4—222no—
1943C4—222no—
1944C4—222no—
1945C4—222no—
1946C4—222no—
1947C4—222no—
1948C4—222no—
1949C4—222no—
1950C4—222no—
1951C4C2×#41×D1114yes—
1952C2—24no—
1953C2—42no—
1954C2—42no—
1955C2—224no—
1956C2—224no—
1957C2—442no—
1958C2—442no—
1959C2#1308216814yesdirect product factor
1960C2C22×#41×D1111yescharacteristic
1961C2C22×#41×D1111yescharacteristic
1962C2C2×#1062345311yescharacteristic
subgroupG/H
centerC22×C4C23×D11
commutator, cosocleC22×C11C26
FrattiniC22C25×D11
FittingC2×C11×#529C2
socleC23×C11C25
hypercenterC2×#529D11
hypocenterC11C2×#3475
LCSG ▷ C22×C11 ▷ C11
UCSC1 ◁ C22×C4 ◁ C2×#529

Complements

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

NH ≅ G/Ntype
1. #13082168C2direct (N × H)
2. C2×#10623233C2semidirect
3. C2×#10623201C2semidirect
4. C2×#10623167C2semidirect
5. C2×#10623240C2semidirect
6. C2×#10623132C2semidirect
7. C2×#10623181C2semidirect
8. C2×#10623239C2semidirect
9. C2×#10623224C2semidirect
10. C2×#10623224C2semidirect
11. C2×#10623210C2semidirect
12. C2×#10623168C2semidirect
13. C2×#10623236C2semidirect
14. C2×#10623189C2semidirect
15. C2×#10623186C2semidirect
16. C2×#10623185C2semidirect
17. C2×#10623141C2semidirect
18. C2×#10623109C2semidirect
19. C2×#10623111C2semidirect
20. C2×#10623069C2semidirect
21. C2×#10623069C2semidirect
22. C2×#10623059C2semidirect
23. C2×#10623059C2semidirect
24. C2×#10623078C2semidirect
25. C2×#10623078C2semidirect
26. C2×C4×#4339C2semidirect
27. C2×#10623053C2semidirect
28. C2×C4×#4341C2semidirect
29. C2×C4×D4×D11C2semidirect
30. C22×#66925C2semidirect
31. C2×D11×#117C2semidirect
32. C2×C11×#529C2semidirect
39. C11×#529C22semidirect
40. C2×C11×#126C22semidirect
41. C2×C11×#126C22semidirect
42. C2×C11×#125C22semidirect
43. C2×C11×#124C22semidirect
45. C2×C11×#123C22semidirect
46. C2×C11×C22⋊Q8C22semidirect
48. C2×C4×Q8×C11C22semidirect
50. C2×C4×D4×C11C22semidirect
51. C2×C4×D4×C11C22semidirect
52. C2×C11×#117C22semidirect
53. C2×C11×#117C22semidirect
54. C22×C42×C11C22semidirect
55. C2×#67000C22semidirect
57. C2×#66999C22semidirect
58. C2×#66997C22semidirect
61. C2×#66992C22semidirect
62. C2×#66992C22semidirect
66. C2×#66988C22semidirect
68. C2×D4×Dic11C22semidirect
72. C2×C4×C22⋊D11C22semidirect
73. C2×C4×C22⋊D11C22semidirect
74. C2×C4×C22⋊D11C22semidirect
75. C2×C4×C22⋊D11C22semidirect
76. C2×C4×C22⋊D11C22semidirect
79. C2×#66979C22semidirect
80. C2×#66979C22semidirect
81. C22×Dic11⋊C4C22semidirect
82. C22×Dic11⋊C4C22semidirect
83. C22×C4×Dic11C22semidirect
84. C22×C4×Dic11C22semidirect
85. #10623240C22semidirect
86. #10623239C22semidirect
87. #10623236C22semidirect
88. #10623233C22semidirect
89. #10623224C22semidirect
90. #10623224C22semidirect
91. #10623210C22semidirect
92. #10623201C22semidirect
93. #10623189C22semidirect
94. #10623186C22semidirect
95. #10623185C22semidirect
96. #10623181C22semidirect
97. #10623168C22semidirect
98. #10623167C22semidirect
99. #10623141C22semidirect
100. #10623132C22semidirect
101. #10623111C22semidirect
102. #10623109C22semidirect
103. #10623078C22semidirect
104. #10623078C22semidirect
105. C4×D4×D11C22semidirect
106. #10623069C22semidirect
107. #10623069C22semidirect
108. C4×#4341C22semidirect
109. #10623059C22semidirect
110. #10623059C22semidirect
111. #10623053C22semidirect
112. D11×#117C22semidirect
113. C2×#66951C22semidirect
114. C2×#66951C22semidirect
115. C2×#66951C22semidirect
116. C2×#66951C22semidirect
117. C2×#66951C22semidirect
118. C2×#66951C22semidirect
122. C2×#66949C22semidirect
123. C2×#66949C22semidirect
124. C2×#66949C22semidirect
125. C2×#66949C22semidirect
131. C2×#66947C22semidirect
132. C2×#66947C22semidirect
138. C2×#66945C22semidirect
140. C2×C4⋊C4×D11C22semidirect
141. C2×C4⋊C4×D11C22semidirect
142. C2×#66943C22semidirect
143. C2×#66942C22semidirect
144. C2×#66942C22semidirect
145. C2×#66942C22semidirect
146. C2×#66942C22semidirect
147. C2×#66942C22semidirect
148. C2×#66942C22semidirect
149. C2×#66941C22semidirect
150. C2×#66940C22semidirect
151. C2×#66940C22semidirect
152. C2×#66940C22semidirect
153. C2×#66939C22semidirect
154. C2×#66939C22semidirect
157. C2×#66938C22semidirect
158. C2×#66938C22semidirect
161. C2×#66937C22semidirect
162. C2×#66937C22semidirect
165. C2×#66936C22semidirect
166. C2×#66936C22semidirect
174. C2×(C22⋊D11)⋊C4C22semidirect
175. C2×(C22⋊D11)⋊C4C22semidirect
176. C2×(C22⋊D11)⋊C4C22semidirect
181. C2×#66932C22semidirect
182. C2×#66932C22semidirect
183. C2×#66932C22semidirect
184. C2×#66932C22semidirect
185. C2×#66931C22semidirect
186. C2×#66931C22semidirect
187. C2×#66931C22semidirect
188. C2×#66931C22semidirect
189. C2×#66930C22semidirect
190. C2×#66930C22semidirect
191. C2×#66930C22semidirect
192. C2×#66930C22semidirect
193. C4×#4339C22semidirect
195. C2×C4×D44C22semidirect
196. C2×C4×D44C22semidirect
197. C2×C4×D44C22semidirect
203. C2×#66925C22semidirect
204. C2×#66925C22semidirect
205. C2×#66925C22semidirect
206. C2×#66925C22semidirect
207. C2×#66925C22semidirect
208. C2×#66925C22semidirect
209. C2×#66925C22semidirect
210. C2×#66925C22semidirect
212. C2×C42×D11C22semidirect
213. C2×C42×D11C22semidirect
214. C2×C42×D11C22semidirect
215. C2×C4×Dic22C22semidirect
216. C2×C4×Dic22C22semidirect
217. C2×C4×Dic22C22semidirect
218. C2×C4×Dic22C22semidirect
280. C11×#126C23semidirect
281. C11×#126C23semidirect
282. C11×#125C23semidirect
283. C11×#124C23semidirect
285. C11×#123C23semidirect
286. C11×C22⋊Q8C23semidirect
288. C4×Q8×C11C23semidirect
290. C4×D4×C11C23semidirect
291. C4×D4×C11C23semidirect
292. C11×#117C23semidirect
293. C11×#117C23semidirect
320. C2×C42×C11C23semidirect
329. #67000C23semidirect
331. #66999C23semidirect
332. #66997C23semidirect
335. #66992C23semidirect
336. #66992C23semidirect
340. #66988C23semidirect
342. D4×Dic11C23semidirect
346. C4×C22⋊D11C23semidirect
347. C4×C22⋊D11C23semidirect
348. C4×C22⋊D11C23semidirect
349. C4×C22⋊D11C23semidirect
350. C4×C22⋊D11C23semidirect
377. #66979C23semidirect
378. #66979C23semidirect
411. C2×Dic11⋊C4C23semidirect
412. C2×Dic11⋊C4C23semidirect
429. C2×C4×Dic11C23semidirect
430. C2×C4×Dic11C23semidirect
431. #66951C23semidirect
432. #66951C23semidirect
433. #66951C23semidirect
434. #66951C23semidirect
435. #66951C23semidirect
436. #66951C23semidirect
440. #66949C23semidirect
441. #66949C23semidirect
442. #66949C23semidirect
443. #66949C23semidirect
449. #66947C23semidirect
450. #66947C23semidirect
456. #66945C23semidirect
458. C4⋊C4×D11C23semidirect
459. C4⋊C4×D11C23semidirect
460. #66943C23semidirect
461. #66942C23semidirect
462. #66942C23semidirect
463. #66942C23semidirect
464. #66942C23semidirect
465. #66942C23semidirect
466. #66942C23semidirect
467. #66941C23semidirect
468. #66940C23semidirect
469. #66940C23semidirect
470. #66940C23semidirect
471. #66939C23semidirect
472. #66939C23semidirect
475. #66938C23semidirect
476. #66938C23semidirect
479. #66937C23semidirect
480. #66937C23semidirect
483. #66936C23semidirect
484. #66936C23semidirect
492. (C22⋊D11)⋊C4C23semidirect
493. (C22⋊D11)⋊C4C23semidirect
494. (C22⋊D11)⋊C4C23semidirect
499. #66932C23semidirect
500. #66932C23semidirect
501. #66932C23semidirect
502. #66932C23semidirect
503. #66931C23semidirect
504. #66931C23semidirect
505. #66931C23semidirect
506. #66931C23semidirect
507. #66930C23semidirect
508. #66930C23semidirect
509. #66930C23semidirect
510. #66930C23semidirect
512. C4×D44C23semidirect
513. C4×D44C23semidirect
514. C4×D44C23semidirect
520. #66925C23semidirect
521. #66925C23semidirect
522. #66925C23semidirect
523. #66925C23semidirect
524. #66925C23semidirect
525. #66925C23semidirect
526. #66925C23semidirect
528. C42×D11C23semidirect
529. C42×D11C23semidirect
530. C42×D11C23semidirect
531. C4×Dic22C23semidirect
532. C4×Dic22C23semidirect
533. C4×Dic22C23semidirect
534. C4×Dic22C23semidirect
588. C2×C22⋊D11#41semidirect
650. C2×C4×D11#41semidirect
804. C2×#529D11semidirect
890. C22⋊D11C2×#41semidirect
940. C4×D11C2×#41semidirect
975. #529C2×D11semidirect
986. C2×#126C2×D11semidirect
987. C2×#126C2×D11semidirect
995. C2×#125C2×D11semidirect
1001. C2×#124C2×D11semidirect
1019. C2×#123C2×D11semidirect
1033. C2×C22⋊Q8C2×D11semidirect
1058. C2×C4×Q8C2×D11semidirect
1086. C2×C4×D4C2×D11semidirect
1087. C2×C4×D4C2×D11semidirect
1111. C2×#117C2×D11semidirect
1112. C2×#117C2×D11semidirect
1130. C22×C42C2×D11semidirect
1262. #126C22×D11semidirect
1263. #126C22×D11semidirect
1271. #125C22×D11semidirect
1277. #124C22×D11semidirect
1293. #123C22×D11semidirect
1307. C22⋊Q8C22×D11semidirect
1329. C4×Q8C22×D11semidirect
1356. C4×D4C22×D11semidirect
1357. C4×D4C22×D11semidirect
1379. #117C22×D11semidirect
1380. #117C22×D11semidirect
1504. C2×C42C22×D11semidirect
1508. C2×C11#3475semidirect
1761. C11C2×#3475semidirect
1959. C2#13082168direct (N × H)

Maximal subgroups

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

subgroupindex
#130821682
C2×#106232332
C2×#106232012
C2×#106231672
C2×#106232402
C2×#106231322
C2×#106231812
C2×#106232392
C2×#106232242
C2×#106232102
C2×#106231682
C2×#106232362
C2×#106231892
C2×#106231862
C2×#106231852
C2×#106231412
C2×#106231092
C2×#106231112
C2×#106230692
C2×#106230592
C2×#106230782
C2×C4×#43392
C2×#106230532
C2×C4×#43412
C2×C4×D4×D112
C22×#669252
C2×D11×#1172
C2×C11×#5292
C2×#347511