Finite Group Databasebeta

← C2×#13082828 #15660979

Subgroups — C2×#13082828 #15660979

Order 2816.

7302 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#13082828C2132yesmaximal, direct product factor
2C2×#10623230C211yesmaximal, characteristic, complemented
3C2×#10623243C211yesmaximal, characteristic, complemented
4C2×#10623231C211yesmaximal, characteristic, complemented
5C2×#10623178C211yesmaximal, characteristic, complemented
6C2×#10623110C211yesmaximal, characteristic, complemented
7C2×#10623221C211yesmaximal, characteristic, complemented
8C2×#10623062C211yesmaximal, characteristic, complemented
9C2×#10623168C211yesmaximal, characteristic, complemented
10C2×#10623236C211yesmaximal, characteristic, complemented
11C2×#10623058C211yesmaximal, characteristic, complemented
12C2×#10623058C211yesmaximal, characteristic, complemented
13C2×#10623038C211yesmaximal, characteristic, complemented
14C2×#10623186C211yesmaximal, characteristic, complemented
15C2×#10623085C211yesmaximal, characteristic, complemented
16C2×#10623185C211yesmaximal, characteristic, complemented
17C2×#10623220C211yesmaximal, characteristic, complemented
18C2×#10623165C211yesmaximal, characteristic, complemented
19C2×#10623113C211yesmaximal, characteristic, complemented
20C2×#10623065C211yesmaximal, characteristic, complemented
21C2×#10623176C211yesmaximal, characteristic, complemented
22C2×#10623223C211yesmaximal, characteristic, complemented
23C2×#10623223C211yesmaximal, characteristic, complemented
24C2×#10623095C211yesmaximal, characteristic, complemented
25C2×#10623238C211yesmaximal, characteristic, complemented
26C2×#10623235C211yesmaximal, characteristic, complemented
27C2×#10623057C211yesmaximal, characteristic, complemented
28C2×#10623179C211yesmaximal, characteristic, complemented
29C2×#10623055C211yesmaximal, characteristic, complemented
30C2×D11×#123C211yesmaximal, characteristic, complemented
31C22×#66949C211yesmaximal, characteristic, complemented
32C2×C11×#552C211yesmaximal, characteristic, complemented
33C22×#4341C2211yescharacteristic
34C22×D4×D11C2211yescharacteristic
35C22×#4339C2211yescharacteristic
36C22×#4339C2211yescharacteristic, complemented
37C23×C4×D11C2211yescharacteristic
38C23×Dic22C2211yescharacteristic, complemented
39C11×#552C22116yescomplemented
40C2×C11×#126C2211yescharacteristic, complemented
41C2×C11×#126C2211yescharacteristic, complemented
42C2×C11×#125C2211yescharacteristic, complemented
43C2×C11×#125C2211yescharacteristic, complemented
44C2×C11×#125C2211yescharacteristic, complemented
45C2×C11×#123C2211yescharacteristic
46C2×C11×#123C2211yescharacteristic
47C2×C11×C22⋊Q8C2211yescharacteristic, complemented
48C2×C11×C22⋊Q8C2211yescharacteristic, complemented
49C2×C4×Q8×C11C2211yescharacteristic, complemented
50C2×C4×D4×C11C2211yescharacteristic
51C2×C11×#117C2211yescharacteristic, complemented
52C2×C11×#117C2211yescharacteristic, complemented
53C2×C11×#117C2211yescharacteristic, complemented
54C22×C11×C4⋊C4C2211yescharacteristic, complemented
55C2×#67000C2211yescharacteristic, complemented
56C2×#66999C2211yescharacteristic
57C2×#66999C2211yescharacteristic, complemented
58C2×#66999C2211yescharacteristic, complemented
59C2×#66992C2211yescharacteristic
60C2×#66988C2211yescharacteristic
61C2×#66983C2211yescharacteristic
62C2×#66983C2211yescharacteristic
63C2×#66982C2211yescharacteristic
64C2×#66982C2211yescharacteristic, complemented
65C2×#66982C2211yescharacteristic, complemented
66C2×C4×C22⋊D11C2211yescharacteristic, complemented
67C22×(C2×D11)⋊C4C2211yescharacteristic
68C22×(C2×D11)⋊C4C2211yescharacteristic
69C22×(C2×D11)⋊C4C2211yescharacteristic
70C2×#66977C2211yescharacteristic, complemented
71C22×Dic11⋊C4C2211yescharacteristic, complemented
72C22×Dic11⋊C4C2211yescharacteristic, complemented
73#10623243C22116yescomplemented
74#10623238C22116yescomplemented
75#10623236C22116yescomplemented
76#10623235C22116yescomplemented
77#10623231C22116yescomplemented
78#10623230C22116yescomplemented
79#10623223C22116yescomplemented
80#10623223C22116yescomplemented
81#10623221C22116yescomplemented
82#10623220C22116yescomplemented
83#10623186C22116yescomplemented
84#10623185C22116yescomplemented
85D11×#123C22116yescomplemented
86#10623179C22116yescomplemented
87#10623178C22116yescomplemented
88#10623176C22116yescomplemented
89#10623168C22116yescomplemented
90#10623165C22116yescomplemented
91#10623113C22116yescomplemented
92#10623110C22116yescomplemented
93#10623095C22116yescomplemented
94#10623085C22116yescomplemented
95#10623065C22116yescomplemented
96#10623062C22116yescomplemented
97#10623058C22116yescomplemented
98#10623058C22116yescomplemented
99#10623057C22116yescomplemented
100#10623055C22116yescomplemented
101C2×#66951C2211yescharacteristic, complemented
102C2×#66951C2211yescharacteristic, complemented
103C2×#66951C2211yescharacteristic, complemented
104C2×#66951C2211yescharacteristic, complemented
105C2×#66951C2211yescharacteristic, complemented
106C2×#66951C2211yescharacteristic, complemented
107C2×#66950C2211yescharacteristic
108C2×#66950C2211yescharacteristic
109C2×#66950C2211yescharacteristic, complemented
110C2×#66950C2211yescharacteristic, complemented
111C2×#66950C2211yescharacteristic, complemented
112C2×#66950C2211yescharacteristic, complemented
113C2×#66950C2211yescharacteristic, complemented
114C2×#66949C2211yescharacteristic
115C2×#66949C2211yescharacteristic
116C2×#66949C2211yescharacteristic
117C2×#66949C2211yescharacteristic
118C2×#66949C2211yescharacteristic
119C2×#66949C2211yescharacteristic
120C2×#66949C22116yescomplemented
121C2×#66949C2211yescharacteristic, complemented
122C2×#66949C2211yescharacteristic, complemented
123C2×#66949C2211yescharacteristic, complemented
124C2×#66949C2211yescharacteristic, complemented
125C2×#66949C2211yescharacteristic, complemented
126C2×#66949C2211yescharacteristic, complemented
127C2×#66949C2211yescharacteristic, complemented
128C2×#66949C2211yescharacteristic, complemented
129C2×#66949C2211yescharacteristic, complemented
130C2×#66949C2211yescharacteristic, complemented
131C2×#66949C2211yescharacteristic, complemented
132#10623038C22116yescomplemented
133C2×#66948C2211yescharacteristic
134C2×#66948C2211yescharacteristic
135C2×#66948C2211yescharacteristic
136C2×#66948C2211yescharacteristic, complemented
137C2×#66948C2211yescharacteristic, complemented
138C2×#66947C2211yescharacteristic
139C2×#66947C2211yescharacteristic
140C2×#66947C2211yescharacteristic
141C2×#66947C2211yescharacteristic
142C2×#66947C2211yescharacteristic
143C2×#66947C2211yescharacteristic, complemented
144C2×#66947C2211yescharacteristic, complemented
145C2×#66947C2211yescharacteristic, complemented
146C2×#66947C2211yescharacteristic, complemented
147C2×#66947C2211yescharacteristic, complemented
148C2×#66947C2211yescharacteristic, complemented
149C2×#66947C2211yescharacteristic, complemented
150C2×#66946C2211yescharacteristic
151C2×#66946C2211yescharacteristic
152C2×#66946C2211yescharacteristic, complemented
153C2×#66945C2211yescharacteristic
154C2×C4⋊C4×D11C2211yescharacteristic
155C2×C4⋊C4×D11C2211yescharacteristic
156C2×C4⋊C4×D11C2211yescharacteristic, complemented
157C2×C4⋊C4×D11C2211yescharacteristic, complemented
158C2×#66943C2211yescharacteristic, complemented
159C2×#66943C2211yescharacteristic, complemented
160C2×#66942C2211yescharacteristic, complemented
161C2×#66942C2211yescharacteristic, complemented
162C2×#66942C2211yescharacteristic, complemented
163C2×#66941C2211yescharacteristic, complemented
164C2×#66941C2211yescharacteristic, complemented
165C2×#66941C2211yescharacteristic, complemented
166C2×#66941C2211yescharacteristic, complemented
167C2×#66939C2211yescharacteristic
168C2×#66939C2211yescharacteristic
169C2×#66939C2211yescharacteristic
170C2×#66939C2211yescharacteristic, complemented
171C2×#66939C2211yescharacteristic, complemented
172C2×#66939C2211yescharacteristic, complemented
173C2×#66938C2211yescharacteristic
174C2×#66938C2211yescharacteristic, complemented
175C2×#66938C2211yescharacteristic, complemented
176C2×#66937C2211yescharacteristic
177C2×#66937C2211yescharacteristic, complemented
178C2×#66936C2211yescharacteristic
179C2×#66936C2211yescharacteristic
180C2×#66936C2211yescharacteristic, complemented
181C2×#66936C2211yescharacteristic, complemented
182C2×#66935C2211yescharacteristic
183C2×#66935C2211yescharacteristic
184C2×#66935C2211yescharacteristic
185C2×#66935C2211yescharacteristic
186C2×(C22⋊D11)⋊C4C2211yescharacteristic
187C2×(C22⋊D11)⋊C4C2211yescharacteristic, complemented
188C2×(C22⋊D11)⋊C4C2211yescharacteristic, complemented
189C2×C22⋊C4×D11C2211yescharacteristic
190C2×C22⋊C4×D11C2211yescharacteristic
191C2×C22⋊C4×D11C2211yescharacteristic
192C2×C22⋊C4×D11C2211yescharacteristic
193C2×#66932C2211yescharacteristic, complemented
194C2×#66931C2211yescharacteristic, complemented
195C2×#66931C2211yescharacteristic, complemented
196C2×#66931C2211yescharacteristic, complemented
197C2×#66931C2211yescharacteristic, complemented
198C2×#66930C2211yescharacteristic, complemented
199C2×#66929C2211yescharacteristic, complemented
200C2×#66929C2211yescharacteristic, complemented
201C2×#66929C2211yescharacteristic, complemented
202C2×#66928C2211yescharacteristic
203C2×#66928C2211yescharacteristic, complemented
204C2×#66928C2211yescharacteristic, complemented
205C2×#66928C2211yescharacteristic, complemented
206C2×C4×D44C2211yescharacteristic
207C2×C4×D44C2211yescharacteristic
208C2×C4×D44C2211yescharacteristic
209C2×C4×D44C2211yescharacteristic
210C2×C4×D44C2211yescharacteristic, complemented
211C2×C4×D44C2211yescharacteristic, complemented
212C2×#66925C2211yescharacteristic
213C2×#66925C2211yescharacteristic, complemented
214C2×#66923C2211yescharacteristic, complemented
215C2×#66923C2211yescharacteristic, complemented
216C2×#66922C2211yescharacteristic, complemented
217C2×#66922C2211yescharacteristic, complemented
218C2×C4×Dic22C2211yescharacteristic, complemented
219C24×D11C2311yescharacteristic
220C24×D11C2311yescharacteristic
221C22×Q8×C11C2311yescharacteristic
222C22×D4×C11C2311yescharacteristic
223C23×C4×C11C2311yescharacteristic
224C23×C4×C11C2311yescharacteristic
225C23×C4×C11C2311yescharacteristic
226C23×C4×C11C2311yescharacteristic
227C22×C22⋊D11C2311yescharacteristic
228C22×C22⋊D11C2311yescharacteristic
229C22×C22⋊D11C2311yescharacteristic
230C22×C22⋊D11C2311yescharacteristic
231C22×C22⋊D11C2311yescharacteristic
232C22×C22⋊D11C2311yescharacteristic
233C23×Dic11C2311yescharacteristic
234C23×Dic11C2311yescharacteristic
235C23×Dic11C2311yescharacteristic
236C23×Dic11C2311yescharacteristic
237C2×#4341—44no—
238C2×#4341C2318yes—
239C2×D4×D11—44no—
240C2×D4×D11C2318yes—
241C2×#4339—44no—
242C2×#4339—44no—
243C2×#4339C2318yes—
244C2×#4339C2318yescomplemented
245C22×D44C2311yescharacteristic
246C22×D44C2311yescharacteristic
247C22×D44C2311yescharacteristic
248C22×D44C2311yescharacteristic
249C22×D44C2311yescharacteristic
250C22×D44C2311yescharacteristic
251C22×D44C2311yescharacteristic
252C22×D44C2311yescharacteristic
253C22×C4×D11—44no—
254C22×C4×D11C2311yescharacteristic
255C22×C4×D11C2311yescharacteristic
256C22×C4×D11C2311yescharacteristic
257C22×C4×D11C2311yescharacteristic
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×D11C2311yescharacteristic
268C22×C4×D11C2311yescharacteristic
269C22×C4×D11C2318yes—
270C22×Dic22—44no—
271C22×Dic22C2311yescharacteristic
272C22×Dic22C2311yescharacteristic
273C22×Dic22C2311yescharacteristic
274C22×Dic22C2311yescharacteristic
275C22×Dic22C2311yescharacteristic
276C22×Dic22C2311yescharacteristic
277C22×Dic22C2311yescharacteristic
278C22×Dic22C2311yescharacteristic
279C22×Dic22C2318yescomplemented
280C11×#126C2318yescomplemented
281C11×#126C2318yescomplemented
282C11×#125C2318yescomplemented
283C11×#125C2318yescomplemented
284C11×#125C2318yescomplemented
285C11×#123C2318yes—
286C11×#123C2318yes—
287C11×C22⋊Q8C2318yescomplemented
288C11×C22⋊Q8C2318yescomplemented
289C4×Q8×C11C2318yescomplemented
290C4×D4×C11C2318yes—
291C11×#117C2318yescomplemented
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×C4⋊C4C2311yescharacteristic
305C2×C11×C4⋊C4C2311yescharacteristic
306C2×C11×C4⋊C4C2311yescharacteristic
307C2×C11×C4⋊C4C2311yescharacteristic
308C2×C11×C4⋊C4C2311yescharacteristic
309C2×C11×C4⋊C4C2311yescharacteristic
310C2×C11×C4⋊C4C2318yescomplemented
311C2×C11×C22⋊C4C2311yescharacteristic
312C2×C11×C22⋊C4C2311yescharacteristic
313C2×C11×C22⋊C4C2311yescharacteristic
314C2×C11×C22⋊C4C2311yescharacteristic
315C2×C11×C22⋊C4C2311yescharacteristic
316C2×C11×C22⋊C4C2311yescharacteristic
317C2×C11×C22⋊C4C2311yescharacteristic
318C2×C11×C22⋊C4C2311yescharacteristic
319C2×C42×C11C2311yescharacteristic
320C2×C42×C11C2311yescharacteristic
321C2×C42×C11C2311yescharacteristic
322C2×C42×C11C2311yescharacteristic
323C2×C42×C11C2311yescharacteristic
324C2×C22⋊Dic11C2311yescharacteristic
325C2×C22⋊Dic11C2311yescharacteristic
326C2×C22⋊Dic11C2311yescharacteristic
327C2×C22⋊Dic11C2311yescharacteristic
328#67000C2318yescomplemented
329#66999C2318yes—
330#66999C2318yescomplemented
331#66999C2318yescomplemented
332#66992C2318yes—
333#66988C2318yes—
334#66983C2318yes—
335#66983C2318yes—
336#66982C2318yes—
337#66982C2318yescomplemented
338#66982C2318yescomplemented
339C4×C22⋊D11C2318yescomplemented
340C2×(C2×D11)⋊C4C2311yescharacteristic
341C2×(C2×D11)⋊C4C2311yescharacteristic
342C2×(C2×D11)⋊C4C2311yescharacteristic
343C2×(C2×D11)⋊C4C2311yescharacteristic
344C2×(C2×D11)⋊C4C2311yescharacteristic
345C2×(C2×D11)⋊C4C2311yescharacteristic
346C2×(C2×D11)⋊C4C2311yescharacteristic
347C2×(C2×D11)⋊C4C2311yescharacteristic
348C2×(C2×D11)⋊C4C2311yescharacteristic
349C2×(C2×D11)⋊C4C2311yescharacteristic
350C2×(C2×D11)⋊C4C2311yescharacteristic
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)⋊C4C2311yescharacteristic
362C2×(C2×D11)⋊C4C2311yescharacteristic
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)⋊C4C2318yes—
375C2×(C2×D11)⋊C4C2318yes—
376C2×(C2×D11)⋊C4C2318yes—
377C2×C4⋊Dic11C2311yescharacteristic
378C2×C4⋊Dic11C2311yescharacteristic
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×C4⋊Dic11C2311yescharacteristic
388C2×C4⋊Dic11C2311yescharacteristic
389#66977C2318yescomplemented
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⋊C4C2311yescharacteristic
412C2×Dic11⋊C4C2318yescomplemented
413C2×Dic11⋊C4C2318yescomplemented
414C2×C4×Dic11C2311yescharacteristic
415C2×C4×Dic11C2311yescharacteristic
416C2×C4×Dic11C2311yescharacteristic
417C2×C4×Dic11C2311yescharacteristic
418C2×C4×Dic11C2311yescharacteristic
419#66951C2318yescomplemented
420#66951C2318yescomplemented
421#66951C2318yescomplemented
422#66951C2318yescomplemented
423#66951C2318yescomplemented
424#66951C2318yescomplemented
425#66950C2318yes—
426#66950C2318yes—
427#66950C2318yescomplemented
428#66950C2318yescomplemented
429#66950C2318yescomplemented
430#66950C2318yescomplemented
431#66950C2318yescomplemented
432#66949C2318yes—
433#66949C2318yes—
434#66949C2318yes—
435#66949C2318yes—
436#66949C2318yes—
437#66949C2318yes—
438#66949C2318yescomplemented
439#66949C2318yescomplemented
440#66949C2318yescomplemented
441#66949C2318yescomplemented
442#66949C2318yescomplemented
443#66949C2318yescomplemented
444#66949C2318yescomplemented
445#66949C2318yescomplemented
446#66949C2318yescomplemented
447#66949C2318yescomplemented
448#66949C2318yescomplemented
449#66948C2318yes—
450#66948C2318yes—
451#66948C2318yes—
452#66948C2318yescomplemented
453#66948C2318yescomplemented
454#66947C2318yes—
455#66947C2318yes—
456#66947C2318yes—
457#66947C2318yes—
458#66947C2318yes—
459#66947C2318yescomplemented
460#66947C2318yescomplemented
461#66947C2318yescomplemented
462#66947C2318yescomplemented
463#66947C2318yescomplemented
464#66947C2318yescomplemented
465#66947C2318yescomplemented
466#66946C2318yes—
467#66946C2318yes—
468#66946C2318yescomplemented
469#66945C2318yes—
470C4⋊C4×D11C2318yes—
471C4⋊C4×D11C2318yes—
472C4⋊C4×D11C2318yescomplemented
473C4⋊C4×D11C2318yescomplemented
474#66943C2318yescomplemented
475#66943C2318yescomplemented
476#66942C2318yescomplemented
477#66942C2318yescomplemented
478#66942C2318yescomplemented
479#66941C2318yescomplemented
480#66941C2318yescomplemented
481#66941C2318yescomplemented
482#66941C2318yescomplemented
483#66939C2318yes—
484#66939C2318yes—
485#66939C2318yes—
486#66939C2318yescomplemented
487#66939C2318yescomplemented
488#66939C2318yescomplemented
489#66938C2318yes—
490#66938C2318yescomplemented
491#66938C2318yescomplemented
492#66937C2318yes—
493#66937C2318yescomplemented
494#66936C2318yes—
495#66936C2318yes—
496#66936C2318yescomplemented
497#66936C2318yescomplemented
498#66935C2318yes—
499#66935C2318yes—
500#66935C2318yes—
501#66935C2318yes—
502(C22⋊D11)⋊C4C2318yes—
503(C22⋊D11)⋊C4C2318yescomplemented
504(C22⋊D11)⋊C4C2318yescomplemented
505C22⋊C4×D11C2318yes—
506C22⋊C4×D11C2318yes—
507C22⋊C4×D11C2318yes—
508C22⋊C4×D11C2318yes—
509#66932C2318yescomplemented
510#66931C2318yescomplemented
511#66931C2318yescomplemented
512#66931C2318yescomplemented
513#66931C2318yescomplemented
514#66930C2318yescomplemented
515#66929C2318yescomplemented
516#66929C2318yescomplemented
517#66929C2318yescomplemented
518#66928C2318yes—
519#66928C2318yescomplemented
520#66928C2318yescomplemented
521#66928C2318yescomplemented
522C4×D44C2318yes—
523C4×D44C2318yes—
524C4×D44C2318yes—
525C4×D44C2318yes—
526C4×D44C2318yescomplemented
527C4×D44C2318yescomplemented
528#66925C2318yes—
529#66925C2318yescomplemented
530#66923C2318yescomplemented
531#66923C2318yescomplemented
532#66922C2318yescomplemented
533#66922C2318yescomplemented
534C4×Dic22C2318yescomplemented
535C2×#3535—111nomaximal, Sylow
536C24×C11C2411yescharacteristic
537C24×C11C2411yescharacteristic
538C23×D11—24no—
539C23×D11—24no—
540C23×D11—24no—
541C23×D11—42no—
542C23×D11—42no—
543C23×D11—42no—
544C23×D11C2411yescharacteristic
545C23×D11C2411yescharacteristic
546C23×D11C2411yescharacteristic
547C23×D11C2411yescharacteristic
548C23×D11C2414yes—
549C23×D11C2411yescharacteristic
550C23×D11C2414yes—
551C2×Q8×C11—42no—
552C2×Q8×C11C2414yes—
553C2×D4×C11—24no—
554C2×D4×C11C2414yes—
555C22×C4×C11—24no—
556C22×C4×C11—24no—
557C22×C4×C11—42no—
558C22×C4×C11—42no—
559C22×C4×C11C2411yescharacteristic
560C22×C4×C11C2411yescharacteristic
561C22×C4×C11C2411yescharacteristic
562C22×C4×C11C2411yescharacteristic
563C22×C4×C11C2411yescharacteristic
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×C11C2414yes—
575C22×C4×C11C2414yes—
576C2×C22⋊D11—24no—
577C2×C22⋊D11—24no—
578C2×C22⋊D11—24no—
579C2×C22⋊D11—42no—
580C2×C22⋊D11—42no—
581C2×C22⋊D11—42no—
582C2×C22⋊D11C2414yes—
583C2×C22⋊D11C2414yes—
584C2×C22⋊D11C2414yes—
585C2×C22⋊D11C2414yes—
586C2×C22⋊D11C2414yes—
587C2×C22⋊D11C2414yes—
588C22×Dic11—24no—
589C22×Dic11—24no—
590C22×Dic11—42no—
591C22×Dic11—42no—
592C22×Dic11C2414yes—
593C22×Dic11C2414yes—
594C22×Dic11C2411yescharacteristic
595C22×Dic11C2411yescharacteristic
596C22×Dic11C2411yescharacteristic
597C22×Dic11C2411yescharacteristic
598C22×Dic11C2411yescharacteristic
599C22×Dic11C2411yescharacteristic
600C22×Dic11C2411yescharacteristic
601C22×Dic11C2411yescharacteristic
602C22×Dic11C2411yescharacteristic
603C22×Dic11C2411yescharacteristic
604C22×Dic11C2411yescharacteristic
605C22×Dic11C2414yes—
606C22×Dic11C2414yes—
607#4341—416no—
608D4×D11—416no—
609#4339—416no—
610#4339—416no—
611C2×D44—24no—
612C2×D44—24no—
613C2×D44—42no—
614C2×D44—42no—
615C2×D44—42no—
616C2×D44—42no—
617C2×D44—42no—
618C2×D44—42no—
619C2×D44C2414yes—
620C2×D44C2414yes—
621C2×D44C2414yes—
622C2×D44C2414yes—
623C2×D44C2414yes—
624C2×D44C2414yes—
625C2×D44C2414yes—
626C2×D44C2414yes—
627C2×C4×D11—24no—
628C2×C4×D11—42no—
629C2×C4×D11—42no—
630C2×C4×D11—42no—
631C2×C4×D11—42no—
632C2×C4×D11—416no—
633C2×C4×D11—42no—
634C2×C4×D11—42no—
635C2×C4×D11—42no—
636C2×C4×D11—42no—
637C2×C4×D11—42no—
638C2×C4×D11—42no—
639C2×C4×D11—42no—
640C2×C4×D11—42no—
641C2×C4×D11—42no—
642C2×C4×D11—42no—
643C2×C4×D11C2414yes—
644C2×C4×D11C2414yes—
645C2×C4×D11C2414yes—
646C2×C4×D11C2414yes—
647C2×C4×D11C2414yes—
648C2×C4×D11C2414yes—
649C2×C4×D11C2414yes—
650C2×C4×D11C2414yes—
651C2×C4×D11C2414yes—
652C2×C4×D11C2414yes—
653C2×C4×D11C2414yes—
654C2×C4×D11C2414yes—
655C2×C4×D11C2414yes—
656C2×C4×D11C2414yes—
657C2×C4×D11C2414yes—
658C2×Dic22—42no—
659C2×Dic22—42no—
660C2×Dic22—42no—
661C2×Dic22—42no—
662C2×Dic22—416no—
663C2×Dic22—42no—
664C2×Dic22—42no—
665C2×Dic22—42no—
666C2×Dic22—42no—
667C2×Dic22C2414yes—
668C2×Dic22C2414yes—
669C2×Dic22C2414yes—
670C2×Dic22C2414yes—
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×C4⋊C4C2414yes—
686C11×C4⋊C4C2414yes—
687C11×C4⋊C4C2414yes—
688C11×C4⋊C4C2414yes—
689C11×C4⋊C4C2414yes—
690C11×C4⋊C4C2414yes—
691C11×C22⋊C4C2414yes—
692C11×C22⋊C4C2414yes—
693C11×C22⋊C4C2414yes—
694C11×C22⋊C4C2414yes—
695C11×C22⋊C4C2414yes—
696C11×C22⋊C4C2414yes—
697C11×C22⋊C4C2414yes—
698C11×C22⋊C4C2414yes—
699C42×C11C2414yes—
700C42×C11C2414yes—
701C42×C11C2414yes—
702C42×C11C2414yes—
703C42×C11C2414yes—
704C22⋊Dic11C2414yes—
705C22⋊Dic11C2414yes—
706C22⋊Dic11C2414yes—
707C22⋊Dic11C2414yes—
708(C2×D11)⋊C4C2414yes—
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—
733(C2×D11)⋊C4C2414yes—
734(C2×D11)⋊C4C2414yes—
735(C2×D11)⋊C4C2414yes—
736(C2×D11)⋊C4C2414yes—
737(C2×D11)⋊C4C2414yes—
738(C2×D11)⋊C4C2414yes—
739(C2×D11)⋊C4C2414yes—
740(C2×D11)⋊C4C2414yes—
741(C2×D11)⋊C4C2414yes—
742C4⋊Dic11C2414yes—
743C4⋊Dic11C2414yes—
744C4⋊Dic11C2414yes—
745C4⋊Dic11C2414yes—
746C4⋊Dic11C2414yes—
747C4⋊Dic11C2414yes—
748C4⋊Dic11C2414yes—
749C4⋊Dic11C2414yes—
750C4⋊Dic11C2414yes—
751C4⋊Dic11C2414yes—
752C4⋊Dic11C2414yes—
753C4⋊Dic11C2414yes—
754Dic11⋊C4C2414yes—
755Dic11⋊C4C2414yes—
756Dic11⋊C4C2414yes—
757Dic11⋊C4C2414yes—
758Dic11⋊C4C2414yes—
759Dic11⋊C4C2414yes—
760Dic11⋊C4C2414yes—
761Dic11⋊C4C2414yes—
762Dic11⋊C4C2414yes—
763Dic11⋊C4C2414yes—
764Dic11⋊C4C2414yes—
765Dic11⋊C4C2414yes—
766Dic11⋊C4C2414yes—
767Dic11⋊C4C2414yes—
768Dic11⋊C4C2414yes—
769Dic11⋊C4C2414yes—
770Dic11⋊C4C2414yes—
771Dic11⋊C4C2414yes—
772Dic11⋊C4C2414yes—
773Dic11⋊C4C2414yes—
774Dic11⋊C4C2414yes—
775Dic11⋊C4C2414yes—
776C4×Dic11C2414yes—
777C4×Dic11C2414yes—
778C4×Dic11C2414yes—
779C4×Dic11C2414yes—
780C4×Dic11C2414yes—
781#3535—1132no—
782C2×#563—111no—
783C2×#563—111no—
784C2×#562—111no—
785C2×#562—111no—
786C2×#554—111no—
787C2×#554—111no—
788C2×#552—111no—
789C2×#552D1111yescharacteristic, complemented
790C2×#551—111no—
791C2×#551—111no—
792C2×#551—111no—
793C2×#551—111no—
794C2×#547—111no—
795C2×#547—111no—
796C2×#546—111no—
797C2×#546—111no—
798C2×#544—111no—
799C2×#543—111no—
800C2×#542—111no—
801C2×#542—111no—
802C2×#539—111no—
803C2×#539—111no—
804C2×#539—111no—
805C2×#539—111no—
806C2×#539—111no—
807C2×#538—111no—
808C2×#536—111no—
809C2×#536—111no—
810C2×#525—111no—
811C22×#123—111no—
812C22×C22⋊Q8—111no—
813C23×C11—22no—
814C23×C11—22no—
815C23×C11—22no—
816C23×C11—22no—
817C23×C11—22no—
818C23×C11H(5,𝔽2)14yes—
819C23×C11C2512yes—
820C23×C11C2512yes—
821C23×C11C2511yescharacteristic
822C22×D11—22no—
823C22×D11—22no—
824C22×D11—22no—
825C22×D11—22no—
826C22×D11—22no—
827C22×D11—28no—
828C22×D11—22no—
829C22×D11—22no—
830C22×D11—22no—
831C22×D11—22no—
832C22×D11—22no—
833C22×D11—22no—
834C22×D11—22no—
835C22×D11—22no—
836C22×D11—22no—
837C22×D11—28no—
838C22×D11—28no—
839C22×D11—44no—
840C22×D11—44no—
841C22×D11—44no—
842C22×D11—416no—
843C22×D11—88no—
844C22×D112−1+414yes—
845C22×D11C2512yes—
846C22×D11C2512yes—
847C22×D11C2512yes—
848C22×D11C2512yes—
849C22×D11C2512yes—
850Q8×C11—44no—
851D4×C11—28no—
852C2×C4×C11—22no—
853C2×C4×C11—22no—
854C2×C4×C11—28no—
855C2×C4×C11—22no—
856C2×C4×C11—22no—
857C2×C4×C11—22no—
858C2×C4×C11—28no—
859C2×C4×C11—22no—
860C2×C4×C11—22no—
861C2×C4×C11—22no—
862C2×C4×C11—22no—
863C2×C4×C11—22no—
864C2×C4×C11—22no—
865C2×C4×C11—22no—
866C2×C4×C11—22no—
867C2×C4×C11—44no—
868C2×C4×C11—44no—
869C2×C4×C11C2512yes—
870C2×C4×C11C2512yes—
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—
882C22⋊D11—28no—
883C22⋊D11—28no—
884C22⋊D11—28no—
885C22⋊D11—44no—
886C22⋊D11—44no—
887C22⋊D11—44no—
888C2×Dic11—22no—
889C2×Dic11—28no—
890C2×Dic11—22no—
891C2×Dic11—22no—
892C2×Dic11—22no—
893C2×Dic11—22no—
894C2×Dic11—22no—
895C2×Dic11—28no—
896C2×Dic11—22no—
897C2×Dic11—22no—
898C2×Dic11—22no—
899C2×Dic11—22no—
900C2×Dic11—22no—
901C2×Dic11—44no—
902C2×Dic11—44no—
903C2×Dic11C2512yes—
904C2×Dic11C2512yes—
905C2×Dic11C2512yes—
906C2×Dic11C2512yes—
907C2×Dic11C2512yes—
908C2×Dic11C2512yes—
909C2×Dic11C2512yes—
910C2×Dic11C2512yes—
911C2×Dic11C2512yes—
912C2×Dic11C2512yes—
913C2×Dic11C2512yes—
914D44—28no—
915D44—28no—
916D44—44no—
917D44—44no—
918D44—44no—
919D44—44no—
920D44—44no—
921D44—44no—
922C4×D11—28no—
923C4×D11—44no—
924C4×D11—44no—
925C4×D11—44no—
926C4×D11—44no—
927C4×D11—44no—
928C4×D11—44no—
929C4×D11—44no—
930C4×D11—44no—
931C4×D11—44no—
932C4×D11—44no—
933C4×D11—44no—
934C4×D11—44no—
935C4×D11—44no—
936C4×D11—44no—
937Dic22—44no—
938Dic22—44no—
939Dic22—44no—
940Dic22—44no—
941Dic22—44no—
942Dic22—44no—
943Dic22—44no—
944Dic22—44no—
945C22×#41—111no—
946C22×#41—111no—
947C22×#41—111no—
948C23×Q8—111no—
949C23×D4—111no—
950C24×C4—111no—
951#563—1116no—
952#563—1116no—
953#562—1116no—
954#562—1116no—
955#554—1116no—
956#554—1116no—
957#552—1116no—
958#552C2×D11116yescomplemented
959#551—1116no—
960#551—1116no—
961#551—1116no—
962#551—1116no—
963#547—1116no—
964#547—1116no—
965#546—1116no—
966#546—1116no—
967#544—1116no—
968#543—1116no—
969#542—1116no—
970#542—1116no—
971#539—1116no—
972#539—1116no—
973#539—1116no—
974#539—1116no—
975#539—1116no—
976#538—1116no—
977#536—1116no—
978#536—1116no—
979C2×C4⋊Q8—111no—
980C2×C4⋊Q8—111no—
981C2×C4⋊Q8—111no—
982C2×C4⋊Q8—111no—
983C2×C4⋊Q8—111no—
984C2×C4⋊Q8—111no—
985C2×#126—111no—
986C2×#126—111no—
987C2×#126—111no—
988C2×#126—111no—
989C2×#126—111no—
990C2×#126—111no—
991C2×#126—111no—
992C2×#126—111no—
993C2×#126—111no—
994C2×#126—111no—
995C2×#126C2×D1111yescharacteristic, complemented
996C2×#126C2×D1111yescharacteristic, complemented
997C2×#125—111no—
998C2×#125—111no—
999C2×#125—111no—
1000C2×#125—111no—
1001C2×#125—111no—
1002C2×#125—111no—
1003C2×#125—111no—
1004C2×#125C2×D1111yescharacteristic, complemented
1005C2×#125C2×D1111yescharacteristic, complemented
1006C2×#125C2×D1111yescharacteristic, complemented
1007C2×#124—111no—
1008C2×#124—111no—
1009C2×#124—111no—
1010C2×#124—111no—
1011C2×#124—111no—
1012C2×#124—111no—
1013C2×#124—111no—
1014C2×#124—111no—
1015#525—1116no—
1016C2×#123—111no—
1017C2×#123—111no—
1018C2×#123—111no—
1019C2×#123—111no—
1020C2×#123—1116no—
1021C2×#123—111no—
1022C2×#123—111no—
1023C2×#123—111no—
1024C2×#123—111no—
1025C2×#123—111no—
1026C2×#123—111no—
1027C2×#123—111no—
1028C2×#123—111no—
1029C2×#123—111no—
1030C2×#123—111no—
1031C2×#123—111no—
1032C2×#123—111no—
1033C2×#123—111no—
1034C2×#123—111no—
1035C2×#123—111no—
1036C2×#123—111no—
1037C2×#123—111no—
1038C2×#123—111no—
1039C2×#123—111no—
1040C2×#123—111no—
1041C2×#123—111no—
1042C2×#123—111no—
1043C2×#123C2×D1111yescharacteristic
1044C2×#123C2×D1111yescharacteristic
1045C2×C22⋊Q8—111no—
1046C2×C22⋊Q8—111no—
1047C2×C22⋊Q8—111no—
1048C2×C22⋊Q8—111no—
1049C2×C22⋊Q8—111no—
1050C2×C22⋊Q8—111no—
1051C2×C22⋊Q8—111no—
1052C2×C22⋊Q8—111no—
1053C2×C22⋊Q8—111no—
1054C2×C22⋊Q8—111no—
1055C2×C22⋊Q8—111no—
1056C2×C22⋊Q8—111no—
1057C2×C22⋊Q8—111no—
1058C2×C22⋊Q8—111no—
1059C2×C22⋊Q8—111no—
1060C2×C22⋊Q8—111no—
1061C2×C22⋊Q8—111no—
1062C2×C22⋊Q8—111no—
1063C2×C22⋊Q8—111no—
1064C2×C22⋊Q8—111no—
1065C2×C22⋊Q8—111no—
1066C2×C22⋊Q8—111no—
1067C2×C22⋊Q8—111no—
1068C2×C22⋊Q8—111no—
1069C2×C22⋊Q8—111no—
1070C2×C22⋊Q8—111no—
1071C2×C22⋊Q8—111no—
1072C2×C22⋊Q8—111no—
1073C2×C22⋊Q8—1116no—
1074C2×C22⋊Q8—111no—
1075C2×C22⋊Q8—111no—
1076C2×C22⋊Q8—111no—
1077C2×C22⋊Q8—111no—
1078C2×C22⋊Q8C2×D1111yescharacteristic, complemented
1079C2×C22⋊Q8C2×D1111yescharacteristic, complemented
1080C2×#121—111no—
1081C2×#121—111no—
1082C2×#121—111no—
1083C2×#121—111no—
1084C2×#121—111no—
1085C2×#121—111no—
1086C2×#121—111no—
1087C2×#121—111no—
1088C2×#121—111no—
1089C2×#121—111no—
1090C2×#120—111no—
1091C2×#120—111no—
1092C2×#120—111no—
1093C2×#120—111no—
1094C2×C4×Q8—111no—
1095C2×C4×Q8C2×D1111yescharacteristic, complemented
1096C2×C4×D4—111no—
1097C2×C4×D4—111no—
1098C2×C4×D4—111no—
1099C2×C4×D4—111no—
1100C2×C4×D4—111no—
1101C2×C4×D4—111no—
1102C2×C4×D4—111no—
1103C2×C4×D4—111no—
1104C2×C4×D4—111no—
1105C2×C4×D4—111no—
1106C2×C4×D4—111no—
1107C2×C4×D4—111no—
1108C2×C4×D4—111no—
1109C2×C4×D4C2×D1111yescharacteristic
1110C2×#117—111no—
1111C2×#117—111no—
1112C2×#117—111no—
1113C2×#117—111no—
1114C2×#117C2×D1111yescharacteristic, complemented
1115C2×#117C2×D1111yescharacteristic, complemented
1116C2×#117C2×D1111yescharacteristic, complemented
1117C22×C4⋊C4—111no—
1118C22×C4⋊C4—111no—
1119C22×C4⋊C4—111no—
1120C22×C4⋊C4—111no—
1121C22×C4⋊C4—111no—
1122C22×C4⋊C4—111no—
1123C22×C4⋊C4C2×D1111yescharacteristic, complemented
1124C22×C22⋊C4—111no—
1125C22×C22⋊C4—111no—
1126C22×C22⋊C4—111no—
1127C22×C22⋊C4—111no—
1128C22×C22⋊C4—111no—
1129C22×C22⋊C4—111no—
1130C22×C22⋊C4—111no—
1131C22×C11—22no—
1132C22×C11—22no—
1133C22×C11—28no—
1134C22×C11—22no—
1135C22×C11—22no—
1136C22×C11—22no—
1137C22×C11—44no—
1138C22×C11C2×H(5,𝔽2)14yes—
1139C22×C11C2×H(5,𝔽2)12yes—
1140C22×C11C2×2−1+412yes—
1141C22×C11#58512yes—
1142C22×C11C2611yescharacteristic
1143C2×D11—22no—
1144C2×D11—22no—
1145C2×D11—28no—
1146C2×D11—22no—
1147C2×D11—22no—
1148C2×D11—22no—
1149C2×D11—22no—
1150C2×D11—22no—
1151C2×D11—22no—
1152C2×D11—22no—
1153C2×D11—22no—
1154C2×D11—22no—
1155C2×D11—22no—
1156C2×D11—22no—
1157C2×D11—22no—
1158C2×D11—416no—
1159C2×D11—44no—
1160C2×D11—44no—
1161C2×D11—44no—
1162C2×D11—44no—
1163C2×D11—88no—
1164C2×D11C2×2−1+414yes—
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×C11—22no—
1177C4×C11—22no—
1178Dic11—22no—
1179Dic11—22no—
1180Dic11—22no—
1181Dic11—22no—
1182Dic11—22no—
1183Dic11—22no—
1184Dic11—22no—
1185Dic11—22no—
1186Dic11—22no—
1187Dic11—22no—
1188Dic11—22no—
1189C25—111no—
1190C25—111no—
1191C2×#41—118no—
1192C2×#41—118no—
1193C2×#41—118no—
1194C2×#41—444no—
1195C2×#41—444no—
1196C2×#41—444no—
1197C22×Q8—111no—
1198C22×Q8—111no—
1199C22×Q8—111no—
1200C22×Q8—111no—
1201C22×Q8—111no—
1202C22×Q8—111no—
1203C22×Q8—111no—
1204C22×Q8—111no—
1205C22×Q8—118no—
1206C22×Q8—444no—
1207C22×Q8C22×D1111yescharacteristic
1208C22×D4—111no—
1209C22×D4—111no—
1210C22×D4—111no—
1211C22×D4—111no—
1212C22×D4—111no—
1213C22×D4—111no—
1214C22×D4—118no—
1215C22×D4—111no—
1216C22×D4—111no—
1217C22×D4—111no—
1218C22×D4—111no—
1219C22×D4—111no—
1220C22×D4—111no—
1221C22×D4—111no—
1222C22×D4—111no—
1223C22×D4—444no—
1224C22×D4C22×D1111yescharacteristic
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—111no—
1234C23×C4—111no—
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—111no—
1244C23×C4—118no—
1245C23×C4—444no—
1246C23×C4C22×D1111yescharacteristic
1247C23×C4C22×D1111yescharacteristic
1248C23×C4C22×D1111yescharacteristic
1249C23×C4C22×D1111yescharacteristic
1250C4⋊Q8—118no—
1251C4⋊Q8—118no—
1252C4⋊Q8—118no—
1253C4⋊Q8—118no—
1254C4⋊Q8—118no—
1255C4⋊Q8—118no—
1256#126—118no—
1257#126—118no—
1258#126—118no—
1259#126—118no—
1260#126—118no—
1261#126—118no—
1262#126—118no—
1263#126—118no—
1264#126—118no—
1265#126—118no—
1266#126C22×D1118yescomplemented
1267#126C22×D1118yescomplemented
1268#125—118no—
1269#125—118no—
1270#125—118no—
1271#125—118no—
1272#125—118no—
1273#125—118no—
1274#125—118no—
1275#125C22×D1118yescomplemented
1276#125C22×D1118yescomplemented
1277#125C22×D1118yescomplemented
1278#124—118no—
1279#124—118no—
1280#124—118no—
1281#124—118no—
1282#124—118no—
1283#124—118no—
1284#124—118no—
1285#124—118no—
1286#123—118no—
1287#123—118no—
1288#123—118no—
1289#123—118no—
1290#123—118no—
1291#123—118no—
1292#123—118no—
1293#123—118no—
1294#123—118no—
1295#123—118no—
1296#123—118no—
1297#123—118no—
1298#123—118no—
1299#123—118no—
1300#123—118no—
1301#123—118no—
1302#123—118no—
1303#123—118no—
1304#123—118no—
1305#123—118no—
1306#123—118no—
1307#123—118no—
1308#123—118no—
1309#123—118no—
1310#123—118no—
1311#123—118no—
1312#123C22×D1118yes—
1313#123C22×D1118yes—
1314C22⋊Q8—118no—
1315C22⋊Q8—118no—
1316C22⋊Q8—118no—
1317C22⋊Q8—118no—
1318C22⋊Q8—118no—
1319C22⋊Q8—118no—
1320C22⋊Q8—118no—
1321C22⋊Q8—118no—
1322C22⋊Q8—118no—
1323C22⋊Q8—118no—
1324C22⋊Q8—118no—
1325C22⋊Q8—118no—
1326C22⋊Q8—118no—
1327C22⋊Q8—118no—
1328C22⋊Q8—118no—
1329C22⋊Q8—118no—
1330C22⋊Q8—118no—
1331C22⋊Q8—118no—
1332C22⋊Q8—118no—
1333C22⋊Q8—118no—
1334C22⋊Q8—118no—
1335C22⋊Q8—118no—
1336C22⋊Q8—118no—
1337C22⋊Q8—118no—
1338C22⋊Q8—118no—
1339C22⋊Q8—118no—
1340C22⋊Q8—118no—
1341C22⋊Q8—118no—
1342C22⋊Q8—118no—
1343C22⋊Q8—118no—
1344C22⋊Q8—118no—
1345C22⋊Q8—118no—
1346C22⋊Q8C22×D1118yescomplemented
1347C22⋊Q8C22×D1118yescomplemented
1348#121—118no—
1349#121—118no—
1350#121—118no—
1351#121—118no—
1352#121—118no—
1353#121—118no—
1354#121—118no—
1355#121—118no—
1356#121—118no—
1357#121—118no—
1358#120—118no—
1359#120—118no—
1360#120—118no—
1361#120—118no—
1362C4×Q8—118no—
1363C4×Q8C22×D1118yescomplemented
1364C4×D4—118no—
1365C4×D4—118no—
1366C4×D4—118no—
1367C4×D4—118no—
1368C4×D4—118no—
1369C4×D4—118no—
1370C4×D4—118no—
1371C4×D4—118no—
1372C4×D4—118no—
1373C4×D4—118no—
1374C4×D4—118no—
1375C4×D4—118no—
1376C4×D4—118no—
1377C4×D4C22×D1118yes—
1378#117—118no—
1379#117—118no—
1380#117—118no—
1381#117—118no—
1382#117C22×D1118yescomplemented
1383#117C22×D1118yescomplemented
1384#117C22×D1118yescomplemented
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—111no—
1395C2×C4⋊C4—111no—
1396C2×C4⋊C4—111no—
1397C2×C4⋊C4—111no—
1398C2×C4⋊C4—111no—
1399C2×C4⋊C4—111no—
1400C2×C4⋊C4—118no—
1401C2×C4⋊C4—118no—
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—111no—
1416C2×C4⋊C4—111no—
1417C2×C4⋊C4—111no—
1418C2×C4⋊C4—111no—
1419C2×C4⋊C4—111no—
1420C2×C4⋊C4—111no—
1421C2×C4⋊C4—118no—
1422C2×C4⋊C4—118no—
1423C2×C4⋊C4—118no—
1424C2×C4⋊C4—118no—
1425C2×C4⋊C4C22×D1111yescharacteristic
1426C2×C4⋊C4C22×D1111yescharacteristic
1427C2×C4⋊C4C22×D1111yescharacteristic
1428C2×C4⋊C4C22×D1111yescharacteristic
1429C2×C4⋊C4C22×D1111yescharacteristic
1430C2×C4⋊C4C22×D1111yescharacteristic
1431C2×C4⋊C4C22×D1111yescharacteristic
1432C2×C4⋊C4C22×D1111yescharacteristic
1433C2×C4⋊C4C22×D1111yescharacteristic
1434C2×C4⋊C4C22×D1111yescharacteristic
1435C2×C4⋊C4C22×D1111yescharacteristic
1436C2×C4⋊C4C22×D1111yescharacteristic
1437C2×C4⋊C4C22×D1111yescharacteristic
1438C2×C4⋊C4C22×D1111yescharacteristic
1439C2×C4⋊C4C22×D1111yescharacteristic
1440C2×C4⋊C4C22×D1111yescharacteristic
1441C2×C4⋊C4C22×D1118yescomplemented
1442C2×C22⋊C4—111no—
1443C2×C22⋊C4—111no—
1444C2×C22⋊C4—111no—
1445C2×C22⋊C4—111no—
1446C2×C22⋊C4—111no—
1447C2×C22⋊C4—111no—
1448C2×C22⋊C4—111no—
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—118no—
1462C2×C22⋊C4—118no—
1463C2×C22⋊C4—111no—
1464C2×C22⋊C4—111no—
1465C2×C22⋊C4—111no—
1466C2×C22⋊C4—118no—
1467C2×C22⋊C4—111no—
1468C2×C22⋊C4—111no—
1469C2×C22⋊C4—111no—
1470C2×C22⋊C4—111no—
1471C2×C22⋊C4—111no—
1472C2×C22⋊C4—111no—
1473C2×C22⋊C4—111no—
1474C2×C22⋊C4—111no—
1475C2×C22⋊C4—111no—
1476C2×C22⋊C4—111no—
1477C2×C22⋊C4—111no—
1478C2×C22⋊C4—111no—
1479C2×C22⋊C4—111no—
1480C2×C22⋊C4—111no—
1481C2×C22⋊C4—111no—
1482C2×C22⋊C4—111no—
1483C2×C22⋊C4—118no—
1484C2×C22⋊C4—118no—
1485C2×C22⋊C4—118no—
1486C2×C22⋊C4—118no—
1487C2×C22⋊C4C22×D1111yescharacteristic
1488C2×C22⋊C4C22×D1111yescharacteristic
1489C2×C22⋊C4C22×D1111yescharacteristic
1490C2×C22⋊C4C22×D1111yescharacteristic
1491C2×C22⋊C4C22×D1111yescharacteristic
1492C2×C22⋊C4C22×D1111yescharacteristic
1493C2×C22⋊C4C22×D1111yescharacteristic
1494C2×C22⋊C4C22×D1111yescharacteristic
1495C2×C42—111no—
1496C2×C42—111no—
1497C2×C42—111no—
1498C2×C42—111no—
1499C2×C42—111no—
1500C2×C42C22×D1111yescharacteristic
1501C2×C42C22×D1111yescharacteristic
1502C2×C42C22×D1111yescharacteristic
1503C2×C42C22×D1111yescharacteristic
1504C2×C42C22×D1111yescharacteristic
1505C2×C11—24no—
1506C2×C11—42no—
1507C2×C11#353514yescomplemented
1508C2×C11C22×H(5,𝔽2)11yescharacteristic
1509C2×C11C22×2−1+411yescharacteristic
1510C2×C11C2×#58511yescharacteristic
1511D11—24no—
1512D11—42no—
1513D11—42no—
1514D11—42no—
1515D11—42no—
1516C24—111no—
1517C24—111no—
1518C24—111no—
1519C24—111no—
1520C24—111no—
1521C24—114no—
1522C24—114no—
1523C24—224no—
1524C24—224no—
1525C24—224no—
1526C24—442no—
1527C24—442no—
1528C24—442no—
1529C24C23×D1111yescharacteristic
1530C24C23×D1111yescharacteristic
1531#41—4416no—
1532#41—4416no—
1533#41—4416no—
1534C2×Q8—42no—
1535C2×Q8—114no—
1536C2×Q8—114no—
1537C2×Q8—114no—
1538C2×Q8—114no—
1539C2×Q8—114no—
1540C2×Q8—114no—
1541C2×Q8—114no—
1542C2×Q8—114no—
1543C2×Q8—442no—
1544C2×Q8—442no—
1545C2×Q8—442no—
1546C2×Q8—442no—
1547C2×Q8—4416no—
1548C2×Q8—442no—
1549C2×Q8—442no—
1550C2×Q8—442no—
1551C2×Q8—442no—
1552C2×Q8C23×D1114yes—
1553C2×D4—24no—
1554C2×D4—114no—
1555C2×D4—114no—
1556C2×D4—114no—
1557C2×D4—114no—
1558C2×D4—114no—
1559C2×D4—114no—
1560C2×D4—114no—
1561C2×D4—114no—
1562C2×D4—114no—
1563C2×D4—114no—
1564C2×D4—114no—
1565C2×D4—114no—
1566C2×D4—114no—
1567C2×D4—114no—
1568C2×D4—224no—
1569C2×D4—224no—
1570C2×D4—224no—
1571C2×D4—224no—
1572C2×D4—224no—
1573C2×D4—442no—
1574C2×D4—442no—
1575C2×D4—442no—
1576C2×D4—442no—
1577C2×D4—442no—
1578C2×D4—442no—
1579C2×D4—442no—
1580C2×D4—442no—
1581C2×D4—442no—
1582C2×D4—4416no—
1583C2×D4C23×D1114yes—
1584C22×C4—24no—
1585C22×C4—24no—
1586C22×C4—42no—
1587C22×C4—42no—
1588C22×C4—114no—
1589C22×C4—114no—
1590C22×C4—111no—
1591C22×C4—111no—
1592C22×C4—111no—
1593C22×C4—111no—
1594C22×C4—111no—
1595C22×C4—111no—
1596C22×C4—111no—
1597C22×C4—111no—
1598C22×C4—111no—
1599C22×C4—111no—
1600C22×C4—111no—
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—114no—
1616C22×C4—114no—
1617C22×C4—114no—
1618C22×C4—224no—
1619C22×C4—224no—
1620C22×C4—224no—
1621C22×C4—442no—
1622C22×C4—442no—
1623C22×C4—442no—
1624C22×C4—442no—
1625C22×C4—4416no—
1626C22×C4—442no—
1627C22×C4—442no—
1628C22×C4—442no—
1629C22×C4—442no—
1630C22×C4—442no—
1631C22×C4—442no—
1632C22×C4—442no—
1633C22×C4—442no—
1634C22×C4—442no—
1635C22×C4—442no—
1636C22×C4—442no—
1637C22×C4—442no—
1638C22×C4C23×D1114yes—
1639C22×C4C23×D1114yes—
1640C22×C4C23×D1111yescharacteristic
1641C22×C4C23×D1111yescharacteristic
1642C22×C4C23×D1111yescharacteristic
1643C22×C4C23×D1111yescharacteristic
1644C22×C4C23×D1111yescharacteristic
1645C22×C4C23×D1111yescharacteristic
1646C22×C4C23×D1111yescharacteristic
1647C22×C4C23×D1111yescharacteristic
1648C22×C4C23×D1111yescharacteristic
1649C22×C4C23×D1111yescharacteristic
1650C22×C4C23×D1111yescharacteristic
1651C22×C4C23×D1111yescharacteristic
1652C22×C4C23×D1111yescharacteristic
1653C22×C4C23×D1114yes—
1654C22×C4C23×D1114yes—
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⋊C4—114no—
1688C4⋊C4—114no—
1689C4⋊C4C23×D1114yes—
1690C4⋊C4C23×D1114yes—
1691C4⋊C4C23×D1114yes—
1692C4⋊C4C23×D1114yes—
1693C4⋊C4C23×D1114yes—
1694C4⋊C4C23×D1114yes—
1695C4⋊C4C23×D1114yes—
1696C4⋊C4C23×D1114yes—
1697C4⋊C4C23×D1114yes—
1698C4⋊C4C23×D1114yes—
1699C4⋊C4C23×D1114yes—
1700C4⋊C4C23×D1114yes—
1701C4⋊C4C23×D1114yes—
1702C4⋊C4C23×D1114yes—
1703C4⋊C4C23×D1114yes—
1704C4⋊C4C23×D1114yes—
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⋊C4—114no—
1730C22⋊C4—114no—
1731C22⋊C4—114no—
1732C22⋊C4—114no—
1733C22⋊C4—114no—
1734C22⋊C4—114no—
1735C22⋊C4—114no—
1736C22⋊C4—114no—
1737C22⋊C4—114no—
1738C22⋊C4—114no—
1739C22⋊C4—114no—
1740C22⋊C4—114no—
1741C22⋊C4—114no—
1742C22⋊C4—114no—
1743C22⋊C4C23×D1114yes—
1744C22⋊C4C23×D1114yes—
1745C22⋊C4C23×D1114yes—
1746C22⋊C4C23×D1114yes—
1747C22⋊C4C23×D1114yes—
1748C22⋊C4C23×D1114yes—
1749C22⋊C4C23×D1114yes—
1750C22⋊C4C23×D1114yes—
1751C42—114no—
1752C42—114no—
1753C42—114no—
1754C42—114no—
1755C42—114no—
1756C42C23×D1114yes—
1757C42C23×D1114yes—
1758C42C23×D1114yes—
1759C42C23×D1114yes—
1760C42C23×D1114yes—
1761C11C2×#353511yescharacteristic, complemented, Sylow
1762C23—22no—
1763C23—22no—
1764C23—22no—
1765C23—22no—
1766C23—22no—
1767C23—114no—
1768C23—112no—
1769C23—112no—
1770C23—112no—
1771C23—112no—
1772C23—112no—
1773C23—228no—
1774C23—228no—
1775C23—222no—
1776C23—222no—
1777C23—222no—
1778C23—222no—
1779C23—228no—
1780C23—222no—
1781C23—222no—
1782C23—222no—
1783C23—222no—
1784C23—222no—
1785C23—222no—
1786C23—222no—
1787C23—222no—
1788C23—222no—
1789C23—222no—
1790C23—444no—
1791C23—444no—
1792C23—444no—
1793C23—4416no—
1794C23—888no—
1795C23#6704214yes—
1796C23C24×D1112yes—
1797C23C24×D1112yes—
1798C23C24×D1111yescharacteristic
1799Q8—44no—
1800Q8—444no—
1801Q8—444no—
1802Q8—444no—
1803Q8—444no—
1804Q8—444no—
1805Q8—444no—
1806Q8—444no—
1807Q8—444no—
1808D4—28no—
1809D4—228no—
1810D4—228no—
1811D4—228no—
1812D4—228no—
1813D4—228no—
1814D4—444no—
1815D4—444no—
1816D4—444no—
1817D4—444no—
1818D4—444no—
1819D4—444no—
1820D4—444no—
1821D4—444no—
1822D4—444no—
1823C2×C4—22no—
1824C2×C4—22no—
1825C2×C4—22no—
1826C2×C4—28no—
1827C2×C4—22no—
1828C2×C4—28no—
1829C2×C4—22no—
1830C2×C4—22no—
1831C2×C4—22no—
1832C2×C4—22no—
1833C2×C4—22no—
1834C2×C4—22no—
1835C2×C4—22no—
1836C2×C4—22no—
1837C2×C4—22no—
1838C2×C4—44no—
1839C2×C4—44no—
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—112no—
1851C2×C4—228no—
1852C2×C4—228no—
1853C2×C4—222no—
1854C2×C4—222no—
1855C2×C4—222no—
1856C2×C4—222no—
1857C2×C4—228no—
1858C2×C4—222no—
1859C2×C4—222no—
1860C2×C4—222no—
1861C2×C4—222no—
1862C2×C4—222no—
1863C2×C4—222no—
1864C2×C4—222no—
1865C2×C4—444no—
1866C2×C4—444no—
1867C2×C4—444no—
1868C2×C4—444no—
1869C2×C4—444no—
1870C2×C4—444no—
1871C2×C4—444no—
1872C2×C4—444no—
1873C2×C4—444no—
1874C2×C4—444no—
1875C2×C4—444no—
1876C2×C4—444no—
1877C2×C4—444no—
1878C2×C4—444no—
1879C2×C4—444no—
1880C2×C4—444no—
1881C2×C4C24×D1112yes—
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—44no—
1901C22—114no—
1902C22—222no—
1903C22—222no—
1904C22—228no—
1905C22—222no—
1906C22—222no—
1907C22—222no—
1908C22—222no—
1909C22—222no—
1910C22—222no—
1911C22—222no—
1912C22—222no—
1913C22—222no—
1914C22—222no—
1915C22—222no—
1916C22—222no—
1917C22—4416no—
1918C22—444no—
1919C22—444no—
1920C22—444no—
1921C22—444no—
1922C22—888no—
1923C22C2×#6704214yes—
1924C22C2×#6704212yes—
1925C22#1062345312yes—
1926C22D11×2−1+412yes—
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—22no—
1940C4—22no—
1941C4—222no—
1942C4—222no—
1943C4—222no—
1944C4—222no—
1945C4—222no—
1946C4—222no—
1947C4—222no—
1948C4—222no—
1949C4—222no—
1950C4—222no—
1951C4—222no—
1952C2—24no—
1953C2—42no—
1954C2—224no—
1955C2—442no—
1956C2—442no—
1957C2—442no—
1958C2—442no—
1959C2#1308282814yesdirect product factor
1960C2C22×#6704211yescharacteristic
1961C2C2×D11×2−1+411yescharacteristic
1962C2C2×#1062345311yescharacteristic
subgroupG/H
centerC23C24×D11
commutator, cosocleC22×C11C26
FrattiniC22C25×D11
FittingC2×C11×#552C2
socleC23×C11C25
hypercenterC2×#552D11
hypocenterC11C2×#3535
LCSG ▷ C22×C11 ▷ C11
UCSC1 ◁ C23 ◁ C2×#552

Complements

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

NH ≅ G/Ntype
1. #13082828C2direct (N × H)
2. C2×#10623230C2semidirect
3. C2×#10623243C2semidirect
4. C2×#10623231C2semidirect
5. C2×#10623178C2semidirect
6. C2×#10623110C2semidirect
7. C2×#10623221C2semidirect
8. C2×#10623062C2semidirect
9. C2×#10623168C2semidirect
10. C2×#10623236C2semidirect
11. C2×#10623058C2semidirect
12. C2×#10623058C2semidirect
13. C2×#10623038C2semidirect
14. C2×#10623186C2semidirect
15. C2×#10623085C2semidirect
16. C2×#10623185C2semidirect
17. C2×#10623220C2semidirect
18. C2×#10623165C2semidirect
19. C2×#10623113C2semidirect
20. C2×#10623065C2semidirect
21. C2×#10623176C2semidirect
22. C2×#10623223C2semidirect
23. C2×#10623223C2semidirect
24. C2×#10623095C2semidirect
25. C2×#10623238C2semidirect
26. C2×#10623235C2semidirect
27. C2×#10623057C2semidirect
28. C2×#10623179C2semidirect
29. C2×#10623055C2semidirect
30. C2×D11×#123C2semidirect
31. C22×#66949C2semidirect
32. C2×C11×#552C2semidirect
36. C22×#4339C22semidirect
38. C23×Dic22C22semidirect
39. C11×#552C22semidirect
40. C2×C11×#126C22semidirect
41. C2×C11×#126C22semidirect
42. C2×C11×#125C22semidirect
43. C2×C11×#125C22semidirect
44. C2×C11×#125C22semidirect
47. C2×C11×C22⋊Q8C22semidirect
48. C2×C11×C22⋊Q8C22semidirect
49. C2×C4×Q8×C11C22semidirect
51. C2×C11×#117C22semidirect
52. C2×C11×#117C22semidirect
53. C2×C11×#117C22semidirect
54. C22×C11×C4⋊C4C22semidirect
55. C2×#67000C22semidirect
57. C2×#66999C22semidirect
58. C2×#66999C22semidirect
64. C2×#66982C22semidirect
65. C2×#66982C22semidirect
66. C2×C4×C22⋊D11C22semidirect
70. C2×#66977C22semidirect
71. C22×Dic11⋊C4C22semidirect
72. C22×Dic11⋊C4C22semidirect
73. #10623243C22semidirect
74. #10623238C22semidirect
75. #10623236C22semidirect
76. #10623235C22semidirect
77. #10623231C22semidirect
78. #10623230C22semidirect
79. #10623223C22semidirect
80. #10623223C22semidirect
81. #10623221C22semidirect
82. #10623220C22semidirect
83. #10623186C22semidirect
84. #10623185C22semidirect
85. D11×#123C22semidirect
86. #10623179C22semidirect
87. #10623178C22semidirect
88. #10623176C22semidirect
89. #10623168C22semidirect
90. #10623165C22semidirect
91. #10623113C22semidirect
92. #10623110C22semidirect
93. #10623095C22semidirect
94. #10623085C22semidirect
95. #10623065C22semidirect
96. #10623062C22semidirect
97. #10623058C22semidirect
98. #10623058C22semidirect
99. #10623057C22semidirect
100. #10623055C22semidirect
101. C2×#66951C22semidirect
102. C2×#66951C22semidirect
103. C2×#66951C22semidirect
104. C2×#66951C22semidirect
105. C2×#66951C22semidirect
106. C2×#66951C22semidirect
109. C2×#66950C22semidirect
110. C2×#66950C22semidirect
111. C2×#66950C22semidirect
112. C2×#66950C22semidirect
113. C2×#66950C22semidirect
120. C2×#66949C22semidirect
121. C2×#66949C22semidirect
122. C2×#66949C22semidirect
123. C2×#66949C22semidirect
124. C2×#66949C22semidirect
125. C2×#66949C22semidirect
126. C2×#66949C22semidirect
127. C2×#66949C22semidirect
128. C2×#66949C22semidirect
129. C2×#66949C22semidirect
130. C2×#66949C22semidirect
131. C2×#66949C22semidirect
132. #10623038C22semidirect
136. C2×#66948C22semidirect
137. C2×#66948C22semidirect
143. C2×#66947C22semidirect
144. C2×#66947C22semidirect
145. C2×#66947C22semidirect
146. C2×#66947C22semidirect
147. C2×#66947C22semidirect
148. C2×#66947C22semidirect
149. C2×#66947C22semidirect
152. C2×#66946C22semidirect
156. C2×C4⋊C4×D11C22semidirect
157. C2×C4⋊C4×D11C22semidirect
158. C2×#66943C22semidirect
159. C2×#66943C22semidirect
160. C2×#66942C22semidirect
161. C2×#66942C22semidirect
162. C2×#66942C22semidirect
163. C2×#66941C22semidirect
164. C2×#66941C22semidirect
165. C2×#66941C22semidirect
166. C2×#66941C22semidirect
170. C2×#66939C22semidirect
171. C2×#66939C22semidirect
172. C2×#66939C22semidirect
174. C2×#66938C22semidirect
175. C2×#66938C22semidirect
177. C2×#66937C22semidirect
180. C2×#66936C22semidirect
181. C2×#66936C22semidirect
187. C2×(C22⋊D11)⋊C4C22semidirect
188. C2×(C22⋊D11)⋊C4C22semidirect
193. C2×#66932C22semidirect
194. C2×#66931C22semidirect
195. C2×#66931C22semidirect
196. C2×#66931C22semidirect
197. C2×#66931C22semidirect
198. C2×#66930C22semidirect
199. C2×#66929C22semidirect
200. C2×#66929C22semidirect
201. C2×#66929C22semidirect
203. C2×#66928C22semidirect
204. C2×#66928C22semidirect
205. C2×#66928C22semidirect
210. C2×C4×D44C22semidirect
211. C2×C4×D44C22semidirect
213. C2×#66925C22semidirect
214. C2×#66923C22semidirect
215. C2×#66923C22semidirect
216. C2×#66922C22semidirect
217. C2×#66922C22semidirect
218. C2×C4×Dic22C22semidirect
244. C2×#4339C23semidirect
279. C22×Dic22C23semidirect
280. C11×#126C23semidirect
281. C11×#126C23semidirect
282. C11×#125C23semidirect
283. C11×#125C23semidirect
284. C11×#125C23semidirect
287. C11×C22⋊Q8C23semidirect
288. C11×C22⋊Q8C23semidirect
289. C4×Q8×C11C23semidirect
291. C11×#117C23semidirect
292. C11×#117C23semidirect
293. C11×#117C23semidirect
310. C2×C11×C4⋊C4C23semidirect
328. #67000C23semidirect
330. #66999C23semidirect
331. #66999C23semidirect
337. #66982C23semidirect
338. #66982C23semidirect
339. C4×C22⋊D11C23semidirect
389. #66977C23semidirect
412. C2×Dic11⋊C4C23semidirect
413. C2×Dic11⋊C4C23semidirect
419. #66951C23semidirect
420. #66951C23semidirect
421. #66951C23semidirect
422. #66951C23semidirect
423. #66951C23semidirect
424. #66951C23semidirect
427. #66950C23semidirect
428. #66950C23semidirect
429. #66950C23semidirect
430. #66950C23semidirect
431. #66950C23semidirect
438. #66949C23semidirect
439. #66949C23semidirect
440. #66949C23semidirect
441. #66949C23semidirect
442. #66949C23semidirect
443. #66949C23semidirect
444. #66949C23semidirect
445. #66949C23semidirect
446. #66949C23semidirect
447. #66949C23semidirect
448. #66949C23semidirect
452. #66948C23semidirect
453. #66948C23semidirect
459. #66947C23semidirect
460. #66947C23semidirect
461. #66947C23semidirect
462. #66947C23semidirect
463. #66947C23semidirect
464. #66947C23semidirect
465. #66947C23semidirect
468. #66946C23semidirect
472. C4⋊C4×D11C23semidirect
473. C4⋊C4×D11C23semidirect
474. #66943C23semidirect
475. #66943C23semidirect
476. #66942C23semidirect
477. #66942C23semidirect
478. #66942C23semidirect
479. #66941C23semidirect
480. #66941C23semidirect
481. #66941C23semidirect
482. #66941C23semidirect
486. #66939C23semidirect
487. #66939C23semidirect
488. #66939C23semidirect
490. #66938C23semidirect
491. #66938C23semidirect
493. #66937C23semidirect
496. #66936C23semidirect
497. #66936C23semidirect
503. (C22⋊D11)⋊C4C23semidirect
504. (C22⋊D11)⋊C4C23semidirect
509. #66932C23semidirect
510. #66931C23semidirect
511. #66931C23semidirect
512. #66931C23semidirect
513. #66931C23semidirect
514. #66930C23semidirect
515. #66929C23semidirect
516. #66929C23semidirect
517. #66929C23semidirect
519. #66928C23semidirect
520. #66928C23semidirect
521. #66928C23semidirect
526. C4×D44C23semidirect
527. C4×D44C23semidirect
529. #66925C23semidirect
530. #66923C23semidirect
531. #66923C23semidirect
532. #66922C23semidirect
533. #66922C23semidirect
534. C4×Dic22C23semidirect
789. C2×#552D11semidirect
958. #552C2×D11semidirect
995. C2×#126C2×D11semidirect
996. C2×#126C2×D11semidirect
1004. C2×#125C2×D11semidirect
1005. C2×#125C2×D11semidirect
1006. C2×#125C2×D11semidirect
1078. C2×C22⋊Q8C2×D11semidirect
1079. C2×C22⋊Q8C2×D11semidirect
1095. C2×C4×Q8C2×D11semidirect
1114. C2×#117C2×D11semidirect
1115. C2×#117C2×D11semidirect
1116. C2×#117C2×D11semidirect
1123. C22×C4⋊C4C2×D11semidirect
1266. #126C22×D11semidirect
1267. #126C22×D11semidirect
1275. #125C22×D11semidirect
1276. #125C22×D11semidirect
1277. #125C22×D11semidirect
1346. C22⋊Q8C22×D11semidirect
1347. C22⋊Q8C22×D11semidirect
1363. C4×Q8C22×D11semidirect
1382. #117C22×D11semidirect
1383. #117C22×D11semidirect
1384. #117C22×D11semidirect
1441. C2×C4⋊C4C22×D11semidirect
1507. C2×C11#3535semidirect
1761. C11C2×#3535semidirect
1959. C2#13082828direct (N × H)

Maximal subgroups

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

subgroupindex
#130828282
C2×#106232302
C2×#106232432
C2×#106232312
C2×#106231782
C2×#106231102
C2×#106232212
C2×#106230622
C2×#106231682
C2×#106232362
C2×#106230582
C2×#106230382
C2×#106231862
C2×#106230852
C2×#106231852
C2×#106232202
C2×#106231652
C2×#106231132
C2×#106230652
C2×#106231762
C2×#106232232
C2×#106230952
C2×#106232382
C2×#106232352
C2×#106230572
C2×#106231792
C2×#106230552
C2×D11×#1232
C22×#669492
C2×C11×#5522
C2×#353511