Finite Group Databasebeta

← C2×#13082676 #15661895

Subgroups — C2×#13082676 #15661895

Order 2816.

7314 conjugacy classes of subgroups.

The subgroup lattice has 1936 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#13082676C2132yesmaximal, direct product factor
2C2×#10623233C211yesmaximal, characteristic, complemented
3C2×#10623233C211yesmaximal, characteristic, complemented
4C2×#10623042C211yesmaximal, characteristic, complemented
5C2×#10623240C211yesmaximal, characteristic, complemented
6C2×#10623240C211yesmaximal, characteristic, complemented
7C2×#10623045C211yesmaximal, characteristic, complemented
8C2×#10623239C211yesmaximal, characteristic, complemented
9C2×#10623239C211yesmaximal, characteristic, complemented
10C2×#10623044C211yesmaximal, characteristic, complemented
11C2×#10623026C211yesmaximal, characteristic, complemented
12C2×#10623026C211yesmaximal, characteristic, complemented
13C2×#10623236C211yesmaximal, characteristic, complemented
14C2×#10623236C211yesmaximal, characteristic, complemented
15C2×#10623038C211yesmaximal, characteristic, complemented
16C2×#10623021C211yesmaximal, characteristic, complemented
17C2×#10623021C211yesmaximal, characteristic, complemented
18C2×#10623241C211yesmaximal, characteristic, complemented
19C2×#10623232C211yesmaximal, characteristic, complemented
20C2×#10623046C211yesmaximal, characteristic, complemented
21C2×#10623238C211yesmaximal, characteristic, complemented
22C2×#10623235C211yesmaximal, characteristic, complemented
23C2×#10623025C211yesmaximal, characteristic, complemented
24C2×#10623010C211yesmaximal, characteristic, complemented
25C2×#10623237C211yesmaximal, characteristic, complemented
26C2×#10623237C211yesmaximal, characteristic, complemented
27C2×#10623237C211yesmaximal, characteristic, complemented
28C2×D11×#126C211yesmaximal, characteristic, complemented
29C2×#10623035C211yesmaximal, characteristic, complemented
30C2×#10623017C211yesmaximal, characteristic, complemented
31C2×C4×#4339C211yesmaximal, characteristic, complemented
32C22×C11×#126C211yesmaximal, characteristic, complemented
33C23×C22⋊D11C2211yescharacteristic
34C22×#4339C2211yescharacteristic
35C22×#4339C2211yescharacteristic
36C2×C11×#126C2211yescharacteristic
37C2×C11×#126C2211yescharacteristic
38C2×C11×#126C2211yescharacteristic
39C2×C11×#126C2211yescharacteristic
40C2×C11×#126C2211yescharacteristic, complemented
41C2×C11×#126C2211yescharacteristic, complemented
42C2×C11×#126C2211yescharacteristic, complemented
43C2×C11×#126C2211yescharacteristic, complemented
44C2×C11×#126C22116yescomplemented
45C22×C11×C4⋊C4C2211yescharacteristic, complemented
46C22×C11×C4⋊C4C2211yescharacteristic, complemented
47C22×C11×C4⋊C4C2211yescharacteristic, complemented
48C22×C11×C22⋊C4C2211yescharacteristic
49C22×C11×C22⋊C4C2211yescharacteristic
50C22×C11×C22⋊C4C2211yescharacteristic
51C22×C42×C11C2211yescharacteristic, complemented
52C2×#67006C2211yescharacteristic
53C2×#67006C2211yescharacteristic
54C22×C22⋊Dic11C2211yescharacteristic
55C2×#66983C2211yescharacteristic
56C2×#66983C2211yescharacteristic
57C2×#66983C2211yescharacteristic, complemented
58C2×#66982C2211yescharacteristic
59C2×#66982C2211yescharacteristic
60C2×#66982C2211yescharacteristic, complemented
61C2×#66982C2211yescharacteristic, complemented
62C2×C4×C22⋊D11C2211yescharacteristic
63C2×C4×C22⋊D11C2211yescharacteristic
64C2×C4×C22⋊D11C2211yescharacteristic
65C2×C4×C22⋊D11C2211yescharacteristic
66C2×C4×C22⋊D11C2211yescharacteristic
67C2×C4×C22⋊D11C2211yescharacteristic
68C2×C4×C22⋊D11C2211yescharacteristic, complemented
69C2×C4×C22⋊D11C2211yescharacteristic, complemented
70C2×C4×C22⋊D11C2211yescharacteristic, complemented
71C2×C4×C22⋊D11C2211yescharacteristic, complemented
72C2×#66979C2211yescharacteristic, complemented
73C2×#66979C2211yescharacteristic, complemented
74C2×#66977C2211yescharacteristic, complemented
75C2×#66977C2211yescharacteristic, complemented
76C2×#66977C2211yescharacteristic, complemented
77#10623241C22116yescomplemented
78#10623240C22116yescomplemented
79#10623240C22116yescomplemented
80#10623239C22116yescomplemented
81#10623239C22116yescomplemented
82#10623238C22116yescomplemented
83#10623237C22116yescomplemented
84#10623237C22116yescomplemented
85#10623237C22116yescomplemented
86#10623236C22116yescomplemented
87#10623236C22116yescomplemented
88#10623235C22116yescomplemented
89D11×#126C22116yescomplemented
90#10623233C22116yescomplemented
91#10623233C22116yescomplemented
92#10623232C22116yescomplemented
93#10623046C22116yescomplemented
94#10623045C22116yescomplemented
95#10623044C22116yescomplemented
96C2×#66951C2211yescharacteristic, complemented
97C2×#66951C2211yescharacteristic, complemented
98C2×#66951C2211yescharacteristic, complemented
99C2×#66951C2211yescharacteristic, complemented
100C2×#66951C2211yescharacteristic, complemented
101C2×#66951C2211yescharacteristic, complemented
102#10623042C22116yescomplemented
103C2×#66950C2211yescharacteristic, complemented
104C2×#66950C2211yescharacteristic, complemented
105C2×#66949C2211yescharacteristic, complemented
106C2×#66949C2211yescharacteristic, complemented
107C2×#66949C2211yescharacteristic, complemented
108C2×#66949C2211yescharacteristic, complemented
109C2×#66949C2211yescharacteristic, complemented
110C2×#66949C2211yescharacteristic, complemented
111#10623038C22116yescomplemented
112C2×#66948C2211yescharacteristic, complemented
113C2×#66948C2211yescharacteristic, complemented
114C2×#66947C2211yescharacteristic, complemented
115C2×#66947C2211yescharacteristic, complemented
116C2×#66947C2211yescharacteristic, complemented
117C2×#66947C2211yescharacteristic, complemented
118C2×#66947C2211yescharacteristic, complemented
119C2×#66947C2211yescharacteristic, complemented
120#10623035C22116yescomplemented
121C2×#66946C2211yescharacteristic, complemented
122C2×#66946C2211yescharacteristic, complemented
123C2×#66946C2211yescharacteristic, complemented
124C2×#66946C2211yescharacteristic, complemented
125C2×#66945C2211yescharacteristic, complemented
126C2×#66945C2211yescharacteristic, complemented
127C2×#66945C2211yescharacteristic, complemented
128C2×#66945C2211yescharacteristic, complemented
129C2×C4⋊C4×D11C2211yescharacteristic, complemented
130C2×C4⋊C4×D11C2211yescharacteristic, complemented
131C2×C4⋊C4×D11C2211yescharacteristic, complemented
132C2×C4⋊C4×D11C2211yescharacteristic, complemented
133C2×#66943C2211yescharacteristic, complemented
134C2×#66943C2211yescharacteristic, complemented
135C2×#66942C2211yescharacteristic, complemented
136C2×#66942C2211yescharacteristic, complemented
137C2×#66942C2211yescharacteristic, complemented
138C2×#66942C2211yescharacteristic, complemented
139C2×#66942C2211yescharacteristic, complemented
140C2×#66942C2211yescharacteristic, complemented
141C2×#66941C2211yescharacteristic, complemented
142C2×#66941C2211yescharacteristic, complemented
143C2×#66940C2211yescharacteristic, complemented
144C2×#66940C2211yescharacteristic, complemented
145C2×#66940C2211yescharacteristic, complemented
146C2×#66940C2211yescharacteristic, complemented
147#10623026C22116yescomplemented
148#10623026C22116yescomplemented
149#10623025C22116yescomplemented
150C2×#66939C2211yescharacteristic, complemented
151C2×#66939C2211yescharacteristic, complemented
152C2×#66938C2211yescharacteristic
153C2×#66938C2211yescharacteristic
154C2×#66938C2211yescharacteristic
155C2×#66938C2211yescharacteristic
156C2×#66938C2211yescharacteristic
157C2×#66938C2211yescharacteristic, complemented
158#10623021C22116yescomplemented
159#10623021C22116yescomplemented
160C2×#66937C2211yescharacteristic
161C2×#66937C2211yescharacteristic
162C2×#66937C2211yescharacteristic
163C2×#66937C2211yescharacteristic
164C2×#66937C2211yescharacteristic
165C2×#66937C2211yescharacteristic, complemented
166C2×#66936C2211yescharacteristic
167C2×#66936C2211yescharacteristic
168C2×#66936C2211yescharacteristic
169C2×#66936C2211yescharacteristic
170C2×#66936C2211yescharacteristic
171C2×#66936C2211yescharacteristic, complemented
172C2×#66935C2211yescharacteristic
173C2×#66935C2211yescharacteristic
174#10623017C22116yescomplemented
175C2×(C22⋊D11)⋊C4C2211yescharacteristic
176C2×(C22⋊D11)⋊C4C2211yescharacteristic
177C2×(C22⋊D11)⋊C4C2211yescharacteristic
178C2×(C22⋊D11)⋊C4C2211yescharacteristic
179C2×(C22⋊D11)⋊C4C2211yescharacteristic
180C2×(C22⋊D11)⋊C4C2211yescharacteristic
181C2×(C22⋊D11)⋊C4C2211yescharacteristic, complemented
182C2×(C22⋊D11)⋊C4C2211yescharacteristic, complemented
183C2×C22⋊C4×D11C2211yescharacteristic
184C2×C22⋊C4×D11C2211yescharacteristic
185C2×C22⋊C4×D11C2211yescharacteristic
186C2×C22⋊C4×D11C2211yescharacteristic
187C2×#66932C2211yescharacteristic
188C2×#66932C2211yescharacteristic
189C2×#66932C2211yescharacteristic
190C2×#66932C2211yescharacteristic
191C2×#66932C2211yescharacteristic
192C2×#66932C2211yescharacteristic, complemented
193C2×#66931C2211yescharacteristic
194C2×#66931C2211yescharacteristic
195C2×#66931C2211yescharacteristic, complemented
196C2×#66931C2211yescharacteristic, complemented
197C2×#66930C2211yescharacteristic
198C2×#66930C2211yescharacteristic
199C2×#66930C2211yescharacteristic, complemented
200C2×#66930C2211yescharacteristic, complemented
201#10623010C22116yescomplemented
202C2×#66929C2211yescharacteristic, complemented
203C2×#66929C2211yescharacteristic, complemented
204C2×#66928C2211yescharacteristic, complemented
205C4×#4339C22116yescomplemented
206C2×C4×D44C2211yescharacteristic, complemented
207C2×C4×D44C2211yescharacteristic, complemented
208C2×C4×D44C2211yescharacteristic, complemented
209C2×#66925C2211yescharacteristic, complemented
210C2×#66925C2211yescharacteristic, complemented
211C2×#66925C2211yescharacteristic, complemented
212C2×#66925C2211yescharacteristic, complemented
213C2×C42×D11C2211yescharacteristic, complemented
214C2×C42×D11C2211yescharacteristic, complemented
215C2×#66923C2211yescharacteristic, complemented
216C2×C4×Dic22C2211yescharacteristic, complemented
217C2×C4×Dic22C2211yescharacteristic, complemented
218C2×C4×Dic22C2211yescharacteristic, complemented
219C25×C11C2311yescharacteristic
220C24×D11C2311yescharacteristic
221C23×C4×C11C2311yescharacteristic
222C23×C4×C11C2311yescharacteristic
223C23×C4×C11C2311yescharacteristic
224C23×C4×C11C2311yescharacteristic
225C23×C4×C11C2311yescharacteristic
226C23×C4×C11C2311yescharacteristic
227C22×C22⋊D11—28no—
228C22×C22⋊D11C2311yescharacteristic
229C22×C22⋊D11C2311yescharacteristic
230C22×C22⋊D11C2318yes—
231C22×C22⋊D11C2311yescharacteristic
232C22×C22⋊D11C2311yescharacteristic
233C22×C22⋊D11C2311yescharacteristic
234C22×C22⋊D11C2311yescharacteristic
235C22×C22⋊D11C2311yescharacteristic
236C22×C22⋊D11C2311yescharacteristic
237C22×C22⋊D11C2311yescharacteristic
238C22×C22⋊D11C2311yescharacteristic
239C23×Dic11C2311yescharacteristic
240C23×Dic11C2311yescharacteristic
241C23×Dic11C2311yescharacteristic
242C2×#4339—28no—
243C2×#4339—28no—
244C2×#4339C2318yes—
245C2×#4339C2318yes—
246C22×D44C2311yescharacteristic
247C22×D44C2311yescharacteristic
248C22×D44C2311yescharacteristic
249C22×D44C2311yescharacteristic
250C22×D44C2311yescharacteristic
251C22×C4×D11C2311yescharacteristic
252C22×C4×D11C2311yescharacteristic
253C22×C4×D11C2311yescharacteristic
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×Dic22C2311yescharacteristic
266C22×Dic22C2311yescharacteristic
267C22×Dic22C2311yescharacteristic
268C22×Dic22C2311yescharacteristic
269C22×Dic22C2311yescharacteristic
270C11×#126C2318yes—
271C11×#126C2318yes—
272C11×#126C2318yes—
273C11×#126C2318yes—
274C11×#126C2318yescomplemented
275C11×#126C2318yescomplemented
276C11×#126C2318yescomplemented
277C11×#126C2318yescomplemented
278C2×C11×C4⋊C4C2311yescharacteristic
279C2×C11×C4⋊C4C2311yescharacteristic
280C2×C11×C4⋊C4C2311yescharacteristic
281C2×C11×C4⋊C4C2311yescharacteristic
282C2×C11×C4⋊C4C2311yescharacteristic
283C2×C11×C4⋊C4C2311yescharacteristic
284C2×C11×C4⋊C4C2311yescharacteristic
285C2×C11×C4⋊C4C2311yescharacteristic
286C2×C11×C4⋊C4C2311yescharacteristic
287C2×C11×C4⋊C4C2311yescharacteristic
288C2×C11×C4⋊C4C2311yescharacteristic
289C2×C11×C4⋊C4C2311yescharacteristic
290C2×C11×C4⋊C4C2318yescomplemented
291C2×C11×C4⋊C4C2318yescomplemented
292C2×C11×C4⋊C4C2318yescomplemented
293C2×C11×C22⋊C4C2311yescharacteristic
294C2×C11×C22⋊C4C2311yescharacteristic
295C2×C11×C22⋊C4C2311yescharacteristic
296C2×C11×C22⋊C4C2311yescharacteristic
297C2×C11×C22⋊C4C2311yescharacteristic
298C2×C11×C22⋊C4C2311yescharacteristic
299C2×C11×C22⋊C4C2311yescharacteristic
300C2×C11×C22⋊C4C2311yescharacteristic
301C2×C11×C22⋊C4C2311yescharacteristic
302C2×C11×C22⋊C4C2311yescharacteristic
303C2×C11×C22⋊C4C2311yescharacteristic
304C2×C11×C22⋊C4C2311yescharacteristic
305C2×C11×C22⋊C4C2318yes—
306C2×C11×C22⋊C4C2318yes—
307C2×C11×C22⋊C4C2318yes—
308C2×C42×C11C2311yescharacteristic
309C2×C42×C11C2311yescharacteristic
310C2×C42×C11C2311yescharacteristic
311C2×C42×C11C2311yescharacteristic
312C2×C42×C11C2318yescomplemented
313#67006C2318yes—
314#67006C2318yes—
315C2×C22⋊Dic11C2311yescharacteristic
316C2×C22⋊Dic11C2311yescharacteristic
317C2×C22⋊Dic11C2311yescharacteristic
318C2×C22⋊Dic11C2311yescharacteristic
319C2×C22⋊Dic11C2311yescharacteristic
320C2×C22⋊Dic11C2311yescharacteristic
321C2×C22⋊Dic11C2318yes—
322C2×C22⋊Dic11C2311yescharacteristic
323C2×C22⋊Dic11C2311yescharacteristic
324C2×C22⋊Dic11C2311yescharacteristic
325C2×C22⋊Dic11C2311yescharacteristic
326#66983C2318yes—
327#66983C2318yes—
328#66983C2318yescomplemented
329#66982C2318yes—
330#66982C2318yes—
331#66982C2318yescomplemented
332#66982C2318yescomplemented
333C4×C22⋊D11C2318yes—
334C4×C22⋊D11C2318yes—
335C4×C22⋊D11C2318yes—
336C4×C22⋊D11C2318yes—
337C4×C22⋊D11C2318yes—
338C4×C22⋊D11C2318yes—
339C4×C22⋊D11C2318yescomplemented
340C4×C22⋊D11C2318yescomplemented
341C4×C22⋊D11C2318yescomplemented
342C4×C22⋊D11C2318yescomplemented
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
367#66979C2318yescomplemented
368#66979C2318yescomplemented
369C2×C4⋊Dic11C2311yescharacteristic
370C2×C4⋊Dic11C2311yescharacteristic
371C2×C4⋊Dic11C2311yescharacteristic
372C2×C4⋊Dic11C2311yescharacteristic
373C2×C4⋊Dic11C2311yescharacteristic
374C2×C4⋊Dic11C2311yescharacteristic
375C2×C4⋊Dic11C2311yescharacteristic
376C2×C4⋊Dic11C2311yescharacteristic
377C2×C4⋊Dic11C2311yescharacteristic
378C2×C4⋊Dic11C2311yescharacteristic
379#66977C2318yescomplemented
380#66977C2318yescomplemented
381#66977C2318yescomplemented
382C2×Dic11⋊C4C2311yescharacteristic
383C2×Dic11⋊C4C2311yescharacteristic
384C2×Dic11⋊C4C2311yescharacteristic
385C2×Dic11⋊C4C2311yescharacteristic
386C2×Dic11⋊C4C2311yescharacteristic
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×C4×Dic11C2311yescharacteristic
407C2×C4×Dic11C2311yescharacteristic
408C2×C4×Dic11C2311yescharacteristic
409C2×C4×Dic11C2311yescharacteristic
410C2×C4×Dic11C2311yescharacteristic
411C2×C4×Dic11C2311yescharacteristic
412C2×C4×Dic11C2311yescharacteristic
413C2×C4×Dic11C2311yescharacteristic
414C2×C4×Dic11C2311yescharacteristic
415C2×C4×Dic11C2311yescharacteristic
416C2×C4×Dic11C2311yescharacteristic
417C2×C4×Dic11C2311yescharacteristic
418C2×C4×Dic11C2311yescharacteristic
419C2×C4×Dic11C2311yescharacteristic
420#66951C2318yescomplemented
421#66951C2318yescomplemented
422#66951C2318yescomplemented
423#66951C2318yescomplemented
424#66951C2318yescomplemented
425#66951C2318yescomplemented
426#66950C2318yescomplemented
427#66950C2318yescomplemented
428#66949C2318yescomplemented
429#66949C2318yescomplemented
430#66949C2318yescomplemented
431#66949C2318yescomplemented
432#66949C2318yescomplemented
433#66949C2318yescomplemented
434#66948C2318yescomplemented
435#66948C2318yescomplemented
436#66947C2318yescomplemented
437#66947C2318yescomplemented
438#66947C2318yescomplemented
439#66947C2318yescomplemented
440#66947C2318yescomplemented
441#66947C2318yescomplemented
442#66946C2318yescomplemented
443#66946C2318yescomplemented
444#66946C2318yescomplemented
445#66946C2318yescomplemented
446#66945C2318yescomplemented
447#66945C2318yescomplemented
448#66945C2318yescomplemented
449#66945C2318yescomplemented
450C4⋊C4×D11C2318yescomplemented
451C4⋊C4×D11C2318yescomplemented
452C4⋊C4×D11C2318yescomplemented
453C4⋊C4×D11C2318yescomplemented
454#66943C2318yescomplemented
455#66943C2318yescomplemented
456#66942C2318yescomplemented
457#66942C2318yescomplemented
458#66942C2318yescomplemented
459#66942C2318yescomplemented
460#66942C2318yescomplemented
461#66942C2318yescomplemented
462#66941C2318yescomplemented
463#66941C2318yescomplemented
464#66940C2318yescomplemented
465#66940C2318yescomplemented
466#66940C2318yescomplemented
467#66940C2318yescomplemented
468#66939C2318yescomplemented
469#66939C2318yescomplemented
470#66938C2318yes—
471#66938C2318yes—
472#66938C2318yes—
473#66938C2318yes—
474#66938C2318yes—
475#66938C2318yescomplemented
476#66937C2318yes—
477#66937C2318yes—
478#66937C2318yes—
479#66937C2318yes—
480#66937C2318yes—
481#66937C2318yescomplemented
482#66936C2318yes—
483#66936C2318yes—
484#66936C2318yes—
485#66936C2318yes—
486#66936C2318yes—
487#66936C2318yescomplemented
488#66935C2318yes—
489#66935C2318yes—
490(C22⋊D11)⋊C4C2318yes—
491(C22⋊D11)⋊C4C2318yes—
492(C22⋊D11)⋊C4C2318yes—
493(C22⋊D11)⋊C4C2318yes—
494(C22⋊D11)⋊C4C2318yes—
495(C22⋊D11)⋊C4C2318yes—
496(C22⋊D11)⋊C4C2318yescomplemented
497(C22⋊D11)⋊C4C2318yescomplemented
498C22⋊C4×D11C2318yes—
499C22⋊C4×D11C2318yes—
500C22⋊C4×D11C2318yes—
501C22⋊C4×D11C2318yes—
502#66932C2318yes—
503#66932C2318yes—
504#66932C2318yes—
505#66932C2318yes—
506#66932C2318yes—
507#66932C2318yescomplemented
508#66931C2318yes—
509#66931C2318yes—
510#66931C2318yescomplemented
511#66931C2318yescomplemented
512#66930C2318yes—
513#66930C2318yes—
514#66930C2318yescomplemented
515#66930C2318yescomplemented
516#66929C2318yescomplemented
517#66929C2318yescomplemented
518#66928C2318yescomplemented
519C4×D44C2318yescomplemented
520C4×D44C2318yescomplemented
521C4×D44C2318yescomplemented
522#66925C2318yescomplemented
523#66925C2318yescomplemented
524#66925C2318yescomplemented
525#66925C2318yescomplemented
526C42×D11C2318yescomplemented
527C42×D11C2318yescomplemented
528#66923C2318yescomplemented
529C4×Dic22C2318yescomplemented
530C4×Dic22C2318yescomplemented
531C4×Dic22C2318yescomplemented
532C2×#3521—111nomaximal, Sylow
533C24×C11—24no—
534C24×C11—42no—
535C24×C11—42no—
536C24×C11C2411yescharacteristic
537C24×C11C2411yescharacteristic
538C24×C11C2411yescharacteristic
539C24×C11C2414yes—
540C23×D11—24no—
541C23×D11—42no—
542C23×D11—42no—
543C23×D11C2411yescharacteristic
544C23×D11C2411yescharacteristic
545C23×D11C2411yescharacteristic
546C23×D11C2411yescharacteristic
547C23×D11C2414yes—
548C22×C4×C11—24no—
549C22×C4×C11—24no—
550C22×C4×C11—42no—
551C22×C4×C11—42no—
552C22×C4×C11—42no—
553C22×C4×C11—42no—
554C22×C4×C11C2411yescharacteristic
555C22×C4×C11C2411yescharacteristic
556C22×C4×C11C2411yescharacteristic
557C22×C4×C11C2411yescharacteristic
558C22×C4×C11C2411yescharacteristic
559C22×C4×C11C2411yescharacteristic
560C22×C4×C11C2411yescharacteristic
561C22×C4×C11C2411yescharacteristic
562C22×C4×C11C2411yescharacteristic
563C22×C4×C11C2411yescharacteristic
564C22×C4×C11C2411yescharacteristic
565C22×C4×C11C2411yescharacteristic
566C22×C4×C11C2414yes—
567C22×C4×C11C2414yes—
568C22×C4×C11C2414yes—
569C22×C4×C11C2414yes—
570C22×C4×C11C2414yes—
571C22×C4×C11C2414yes—
572C2×C22⋊D11—232no—
573C2×C22⋊D11—24no—
574C2×C22⋊D11—24no—
575C2×C22⋊D11—24no—
576C2×C22⋊D11—24no—
577C2×C22⋊D11—24no—
578C2×C22⋊D11—42no—
579C2×C22⋊D11—42no—
580C2×C22⋊D11—42no—
581C2×C22⋊D11—42no—
582C2×C22⋊D11#4118yes—
583C2×C22⋊D11C2414yes—
584C2×C22⋊D11C2414yes—
585C2×C22⋊D11C2414yes—
586C2×C22⋊D11C2414yes—
587C2×C22⋊D11C2414yes—
588C2×C22⋊D11C2414yes—
589C2×C22⋊D11C2414yes—
590C2×C22⋊D11C2414yes—
591C2×C22⋊D11C2414yes—
592C2×C22⋊D11C2414yes—
593C22×Dic11—24no—
594C22×Dic11—42no—
595C22×Dic11—42no—
596C22×Dic11C2414yes—
597C22×Dic11C2411yescharacteristic
598C22×Dic11C2411yescharacteristic
599C22×Dic11C2411yescharacteristic
600C22×Dic11C2411yescharacteristic
601C22×Dic11C2411yescharacteristic
602C22×Dic11C2411yescharacteristic
603C22×Dic11C2411yescharacteristic
604C22×Dic11C2411yescharacteristic
605C22×Dic11C2411yescharacteristic
606C22×Dic11C2411yescharacteristic
607C22×Dic11C2411yescharacteristic
608C22×Dic11C2414yes—
609C22×Dic11C2414yes—
610C22×Dic11C2411yescharacteristic
611#4339—232no—
612#4339—232no—
613C2×D44—24no—
614C2×D44—24no—
615C2×D44—42no—
616C2×D44—42no—
617C2×D44—42no—
618C2×D44C2414yes—
619C2×D44C2414yes—
620C2×D44C2414yes—
621C2×D44C2414yes—
622C2×D44C2414yes—
623C2×C4×D11—24no—
624C2×C4×D11—24no—
625C2×C4×D11—24no—
626C2×C4×D11—24no—
627C2×C4×D11—42no—
628C2×C4×D11—42no—
629C2×C4×D11—42no—
630C2×C4×D11—42no—
631C2×C4×D11—42no—
632C2×C4×D11—42no—
633C2×C4×D11—42no—
634C2×C4×D11—42no—
635C2×C4×D11—42no—
636C2×C4×D11—42no—
637C2×C4×D11C2414yes—
638C2×C4×D11C2414yes—
639C2×C4×D11C2414yes—
640C2×C4×D11C2414yes—
641C2×C4×D11C2414yes—
642C2×C4×D11C2414yes—
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×Dic22—24no—
652C2×Dic22—24no—
653C2×Dic22—42no—
654C2×Dic22—42no—
655C2×Dic22—42no—
656C2×Dic22C2414yes—
657C2×Dic22C2414yes—
658C2×Dic22C2414yes—
659C2×Dic22C2414yes—
660C2×Dic22C2414yes—
661C11×C4⋊C4C2414yes—
662C11×C4⋊C4C2414yes—
663C11×C4⋊C4C2414yes—
664C11×C4⋊C4C2414yes—
665C11×C4⋊C4C2414yes—
666C11×C4⋊C4C2414yes—
667C11×C4⋊C4C2414yes—
668C11×C4⋊C4C2414yes—
669C11×C4⋊C4C2414yes—
670C11×C4⋊C4C2414yes—
671C11×C4⋊C4C2414yes—
672C11×C4⋊C4C2414yes—
673C11×C22⋊C4C2414yes—
674C11×C22⋊C4C2414yes—
675C11×C22⋊C4C2414yes—
676C11×C22⋊C4C2414yes—
677C11×C22⋊C4C2414yes—
678C11×C22⋊C4C2414yes—
679C11×C22⋊C4C2414yes—
680C11×C22⋊C4C2414yes—
681C11×C22⋊C4C2414yes—
682C11×C22⋊C4C2414yes—
683C11×C22⋊C4C2414yes—
684C11×C22⋊C4C2414yes—
685C42×C11C2414yes—
686C42×C11C2414yes—
687C42×C11C2414yes—
688C42×C11C2414yes—
689C22⋊Dic11C2414yes—
690C22⋊Dic11C2414yes—
691C22⋊Dic11C2414yes—
692C22⋊Dic11C2414yes—
693C22⋊Dic11C2414yes—
694C22⋊Dic11C2414yes—
695C22⋊Dic11C2414yes—
696C22⋊Dic11C2414yes—
697C22⋊Dic11C2414yes—
698C22⋊Dic11C2414yes—
699(C2×D11)⋊C4C2414yes—
700(C2×D11)⋊C4C2414yes—
701(C2×D11)⋊C4C2414yes—
702(C2×D11)⋊C4C2414yes—
703(C2×D11)⋊C4C2414yes—
704(C2×D11)⋊C4C2414yes—
705(C2×D11)⋊C4C2414yes—
706(C2×D11)⋊C4C2414yes—
707(C2×D11)⋊C4C2414yes—
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—
723C4⋊Dic11C2414yes—
724C4⋊Dic11C2414yes—
725C4⋊Dic11C2414yes—
726C4⋊Dic11C2414yes—
727C4⋊Dic11C2414yes—
728C4⋊Dic11C2414yes—
729C4⋊Dic11C2414yes—
730C4⋊Dic11C2414yes—
731C4⋊Dic11C2414yes—
732C4⋊Dic11C2414yes—
733Dic11⋊C4C2414yes—
734Dic11⋊C4C2414yes—
735Dic11⋊C4C2414yes—
736Dic11⋊C4C2414yes—
737Dic11⋊C4C2414yes—
738Dic11⋊C4C2414yes—
739Dic11⋊C4C2414yes—
740Dic11⋊C4C2414yes—
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—
757C4×Dic11C2414yes—
758C4×Dic11C2414yes—
759C4×Dic11C2414yes—
760C4×Dic11C2414yes—
761C4×Dic11C2414yes—
762C4×Dic11C2414yes—
763C4×Dic11C2414yes—
764C4×Dic11C2414yes—
765C4×Dic11C2414yes—
766C4×Dic11C2414yes—
767C4×Dic11C2414yes—
768C4×Dic11C2414yes—
769C4×Dic11C2414yes—
770C4×Dic11C2414yes—
771#3521—1132no—
772C2×#556—111no—
773C2×#556—111no—
774C2×#554—111no—
775C2×#553—111no—
776C2×#553—111no—
777C2×#553—111no—
778C2×#552—111no—
779C2×#552—111no—
780C2×#552—111no—
781C2×#551—111no—
782C2×#551—111no—
783C2×#551—111no—
784C2×#551—111no—
785C2×#547—111no—
786C2×#546—111no—
787C2×#546—111no—
788C2×#542—111no—
789C2×#541—111no—
790C2×#539—111no—
791C2×#539—111no—
792C2×#538—111no—
793C2×#538—111no—
794C2×#529—111no—
795C2×#529—111no—
796C2×#529—111no—
797C2×#529—111no—
798C22×#126—111no—
799C22×#126D1111yescharacteristic, complemented
800C2×#520—111no—
801C2×#518—111no—
802C2×C4×#41—111no—
803C23×C11—22no—
804C23×C11—22no—
805C23×C11—22no—
806C23×C11—22no—
807C23×C11—22no—
808C23×C11—22no—
809C23×C11—22no—
810C23×C11—22no—
811C23×C11—28no—
812C23×C11—44no—
813C23×C11—44no—
814C23×C11—88no—
815C23×C11C2×#4114yes—
816C23×C11C2512yes—
817C23×C11C2512yes—
818C23×C11C2512yes—
819C23×C11C2511yescharacteristic
820C22×D11—22no—
821C22×D11—22no—
822C22×D11—22no—
823C22×D11—22no—
824C22×D11—22no—
825C22×D11—22no—
826C22×D11—22no—
827C22×D11—22no—
828C22×D11—22no—
829C22×D11—22no—
830C22×D11—22no—
831C22×D11—28no—
832C22×D11—44no—
833C22×D11—44no—
834C22×D11—88no—
835C22×D11C2×#4114yes—
836C22×D11C2512yes—
837C22×D11C2512yes—
838C22×D11C2512yes—
839C22×D11C2512yes—
840C2×C4×C11—22no—
841C2×C4×C11—22no—
842C2×C4×C11—22no—
843C2×C4×C11—22no—
844C2×C4×C11—28no—
845C2×C4×C11—28no—
846C2×C4×C11—22no—
847C2×C4×C11—22no—
848C2×C4×C11—22no—
849C2×C4×C11—22no—
850C2×C4×C11—22no—
851C2×C4×C11—22no—
852C2×C4×C11—22no—
853C2×C4×C11—22no—
854C2×C4×C11—44no—
855C2×C4×C11—44no—
856C2×C4×C11—44no—
857C2×C4×C11—44no—
858C2×C4×C11C2512yes—
859C2×C4×C11C2512yes—
860C2×C4×C11C2512yes—
861C2×C4×C11C2512yes—
862C2×C4×C11C2512yes—
863C2×C4×C11C2512yes—
864C2×C4×C11C2512yes—
865C2×C4×C11C2512yes—
866C2×C4×C11C2512yes—
867C2×C4×C11C2512yes—
868C2×C4×C11C2512yes—
869C2×C4×C11C2512yes—
870C22⋊D11—28no—
871C22⋊D11—28no—
872C22⋊D11—28no—
873C22⋊D11—28no—
874C22⋊D11—28no—
875C22⋊D11—44no—
876C22⋊D11—44no—
877C22⋊D11—44no—
878C22⋊D11—44no—
879C22⋊D11C2×#41116yes—
880C2×Dic11—22no—
881C2×Dic11—22no—
882C2×Dic11—22no—
883C2×Dic11—22no—
884C2×Dic11—22no—
885C2×Dic11—22no—
886C2×Dic11—22no—
887C2×Dic11—22no—
888C2×Dic11—22no—
889C2×Dic11—22no—
890C2×Dic11—22no—
891C2×Dic11—28no—
892C2×Dic11—44no—
893C2×Dic11—44no—
894C2×Dic11C2×#4114yes—
895C2×Dic11C2512yes—
896C2×Dic11C2512yes—
897C2×Dic11C2512yes—
898C2×Dic11C2512yes—
899C2×Dic11C2512yes—
900C2×Dic11C2512yes—
901C2×Dic11C2512yes—
902C2×Dic11C2512yes—
903C2×Dic11C2512yes—
904C2×Dic11C2512yes—
905C2×Dic11C2512yes—
906C2×Dic11C2512yes—
907D44—28no—
908D44—28no—
909D44—44no—
910D44—44no—
911D44—44no—
912C4×D11—28no—
913C4×D11—28no—
914C4×D11—28no—
915C4×D11—28no—
916C4×D11—44no—
917C4×D11—44no—
918C4×D11—44no—
919C4×D11—44no—
920C4×D11—44no—
921C4×D11—44no—
922C4×D11—44no—
923C4×D11—44no—
924C4×D11—44no—
925C4×D11—44no—
926Dic22—28no—
927Dic22—28no—
928Dic22—44no—
929Dic22—44no—
930Dic22—44no—
931C22×#41—111no—
932C22×#41—111no—
933C23×D4—111no—
934#556—1116no—
935#556—1116no—
936#554—1116no—
937#553—1116no—
938#553—1116no—
939#553—1116no—
940#552—1116no—
941#552—1116no—
942#552—1116no—
943#551—1116no—
944#551—1116no—
945#551—1116no—
946#551—1116no—
947#547—1116no—
948#546—1116no—
949#546—1116no—
950#542—1116no—
951#541—1116no—
952#539—1116no—
953#539—1116no—
954#538—1116no—
955#538—1116no—
956C2×C4⋊Q8—111no—
957C2×C4⋊Q8—111no—
958#529—1116no—
959#529—1116no—
960#529—1116no—
961#529—1116no—
962C2×#126—1116no—
963C2×#126—111no—
964C2×#126—111no—
965C2×#126—111no—
966C2×#126—111no—
967C2×#126—111no—
968C2×#126—111no—
969C2×#126—111no—
970C2×#126—111no—
971C2×#126—111no—
972C2×#126—111no—
973C2×#126—111no—
974C2×#126—111no—
975C2×#126—111no—
976C2×#126—111no—
977C2×#126C2×D1111yescharacteristic
978C2×#126C2×D1111yescharacteristic
979C2×#126C2×D1111yescharacteristic
980C2×#126C2×D1111yescharacteristic
981C2×#126C2×D1111yescharacteristic, complemented
982C2×#126C2×D1111yescharacteristic, complemented
983C2×#126C2×D1111yescharacteristic, complemented
984C2×#126C2×D1111yescharacteristic, complemented
985C2×#126C2×D11116yescomplemented
986C2×#125—111no—
987C2×#125—111no—
988C2×#125—111no—
989C2×#125—111no—
990C2×#125—111no—
991C2×#125—111no—
992C2×#125—111no—
993C2×#125—111no—
994C2×#125—111no—
995C2×#124—111no—
996C2×#124—111no—
997C2×#124—111no—
998C2×#124—111no—
999C2×#124—111no—
1000C2×#124—111no—
1001C2×#124—111no—
1002C2×#123—111no—
1003C2×#123—111no—
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×#123—111no—
1019C2×#123—111no—
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⋊Q8—111no—
1034C2×C22⋊Q8—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×#121—111no—
1044C2×#121—111no—
1045C2×#121—111no—
1046C2×#120—111no—
1047C2×#120—111no—
1048C2×#120—111no—
1049C2×#120—111no—
1050#520—1116no—
1051#518—1116no—
1052C4×#41—1116no—
1053C2×C4×Q8—111no—
1054C2×C4×Q8—111no—
1055C2×C4×Q8—111no—
1056C2×C4×Q8—111no—
1057C2×C4×Q8—111no—
1058C2×C4×Q8—111no—
1059C2×C4×Q8—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—111no—
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×#117—111no—
1086C2×#117—111no—
1087C2×#117—111no—
1088C2×#117—111no—
1089C2×#117—111no—
1090C2×#117—111no—
1091C2×#117—111no—
1092C2×#117—111no—
1093C2×#117—111no—
1094C2×#117—111no—
1095C2×#117—111no—
1096C2×#117—111no—
1097C2×#117—111no—
1098C2×#117—111no—
1099C22×C4⋊C4—111no—
1100C22×C4⋊C4—111no—
1101C22×C4⋊C4—111no—
1102C22×C4⋊C4—111no—
1103C22×C4⋊C4C2×D1111yescharacteristic, complemented
1104C22×C4⋊C4C2×D1111yescharacteristic, complemented
1105C22×C4⋊C4C2×D1111yescharacteristic, complemented
1106C22×C22⋊C4—111no—
1107C22×C22⋊C4—111no—
1108C22×C22⋊C4—111no—
1109C22×C22⋊C4—111no—
1110C22×C22⋊C4—111no—
1111C22×C22⋊C4C2×D1111yescharacteristic
1112C22×C22⋊C4C2×D1111yescharacteristic
1113C22×C22⋊C4C2×D1111yescharacteristic
1114C22×C42—111no—
1115C22×C42—111no—
1116C22×C42C2×D1111yescharacteristic, complemented
1117C22×C11—22no—
1118C22×C11—22no—
1119C22×C11—28no—
1120C22×C11—22no—
1121C22×C11—22no—
1122C22×C11—22no—
1123C22×C11—22no—
1124C22×C11—22no—
1125C22×C11—22no—
1126C22×C11—44no—
1127C22×C11—44no—
1128C22×C11—88no—
1129C22×C11C22×#4114yes—
1130C22×C11C22×#4112yes—
1131C22×C11#58512yes—
1132C22×C11#58512yes—
1133C22×C11C2611yescharacteristic
1134C2×D11—22no—
1135C2×D11—22no—
1136C2×D11—28no—
1137C2×D11—22no—
1138C2×D11—22no—
1139C2×D11—22no—
1140C2×D11—22no—
1141C2×D11—22no—
1142C2×D11—22no—
1143C2×D11—22no—
1144C2×D11—22no—
1145C2×D11—22no—
1146C2×D11—44no—
1147C2×D11—44no—
1148C2×D11—44no—
1149C2×D11—88no—
1150C2×D11C22×#4114yes—
1151C4×C11—22no—
1152C4×C11—22no—
1153C4×C11—22no—
1154C4×C11—22no—
1155C4×C11—22no—
1156C4×C11—22no—
1157C4×C11—22no—
1158C4×C11—22no—
1159C4×C11—22no—
1160C4×C11—22no—
1161C4×C11—22no—
1162C4×C11—22no—
1163Dic11—22no—
1164Dic11—22no—
1165Dic11—22no—
1166Dic11—22no—
1167Dic11—22no—
1168Dic11—22no—
1169Dic11—22no—
1170Dic11—22no—
1171Dic11—22no—
1172Dic11—22no—
1173Dic11—22no—
1174Dic11C22×#4114yes—
1175C25—111no—
1176C25C22×D1111yescharacteristic
1177C2×#41—118no—
1178C2×#41—118no—
1179C2×#41—228no—
1180C2×#41—228no—
1181C22×Q8—111no—
1182C22×Q8—111no—
1183C22×Q8—111no—
1184C22×Q8—111no—
1185C22×Q8—111no—
1186C22×D4—111no—
1187C22×D4—111no—
1188C22×D4—111no—
1189C22×D4—111no—
1190C22×D4—111no—
1191C22×D4—111no—
1192C22×D4—118no—
1193C22×D4—111no—
1194C22×D4—111no—
1195C22×D4—111no—
1196C22×D4—111no—
1197C22×D4—111no—
1198C22×D4—111no—
1199C22×D4—111no—
1200C22×D4—111no—
1201C22×D4—111no—
1202C22×D4—228no—
1203C23×C4—111no—
1204C23×C4—111no—
1205C23×C4—111no—
1206C23×C4—111no—
1207C23×C4—111no—
1208C23×C4—111no—
1209C23×C4—111no—
1210C23×C4—111no—
1211C23×C4—111no—
1212C23×C4—111no—
1213C23×C4—111no—
1214C23×C4—111no—
1215C23×C4—111no—
1216C23×C4—111no—
1217C23×C4—111no—
1218C23×C4—111no—
1219C23×C4—111no—
1220C23×C4C22×D1111yescharacteristic
1221C23×C4C22×D1111yescharacteristic
1222C23×C4C22×D1111yescharacteristic
1223C23×C4C22×D1111yescharacteristic
1224C23×C4C22×D1111yescharacteristic
1225C23×C4C22×D1111yescharacteristic
1226C4⋊Q8—118no—
1227C4⋊Q8—118no—
1228#126—118no—
1229#126—118no—
1230#126—118no—
1231#126—118no—
1232#126—118no—
1233#126—118no—
1234#126—118no—
1235#126—118no—
1236#126—118no—
1237#126—118no—
1238#126—118no—
1239#126—118no—
1240#126—118no—
1241#126—118no—
1242#126C22×D1118yes—
1243#126C22×D1118yes—
1244#126C22×D1118yes—
1245#126C22×D1118yes—
1246#126C22×D1118yescomplemented
1247#126C22×D1118yescomplemented
1248#126C22×D1118yescomplemented
1249#126C22×D1118yescomplemented
1250#125—118no—
1251#125—118no—
1252#125—118no—
1253#125—118no—
1254#125—118no—
1255#125—118no—
1256#125—118no—
1257#125—118no—
1258#125—118no—
1259#124—118no—
1260#124—118no—
1261#124—118no—
1262#124—118no—
1263#124—118no—
1264#124—118no—
1265#124—118no—
1266#123—118no—
1267#123—118no—
1268#123—118no—
1269#123—118no—
1270#123—118no—
1271#123—118no—
1272#123—118no—
1273#123—118no—
1274#123—118no—
1275#123—118no—
1276#123—118no—
1277#123—118no—
1278#123—118no—
1279#123—118no—
1280#123—118no—
1281#123—118no—
1282#123—118no—
1283#123—118no—
1284C22⋊Q8—118no—
1285C22⋊Q8—118no—
1286C22⋊Q8—118no—
1287C22⋊Q8—118no—
1288C22⋊Q8—118no—
1289C22⋊Q8—118no—
1290C22⋊Q8—118no—
1291C22⋊Q8—118no—
1292C22⋊Q8—118no—
1293C22⋊Q8—118no—
1294C22⋊Q8—118no—
1295C22⋊Q8—118no—
1296C22⋊Q8—118no—
1297C22⋊Q8—118no—
1298C22⋊Q8—118no—
1299#121—118no—
1300#121—118no—
1301#121—118no—
1302#121—118no—
1303#121—118no—
1304#121—118no—
1305#121—118no—
1306#121—118no—
1307#121—118no—
1308#121—118no—
1309#121—118no—
1310#120—118no—
1311#120—118no—
1312#120—118no—
1313#120—118no—
1314C4×Q8—118no—
1315C4×Q8—118no—
1316C4×Q8—118no—
1317C4×Q8—118no—
1318C4×Q8—118no—
1319C4×Q8—118no—
1320C4×Q8—118no—
1321C4×D4—118no—
1322C4×D4—118no—
1323C4×D4—118no—
1324C4×D4—118no—
1325C4×D4—118no—
1326C4×D4—118no—
1327C4×D4—118no—
1328C4×D4—118no—
1329C4×D4—118no—
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—
1346#117—118no—
1347#117—118no—
1348#117—118no—
1349#117—118no—
1350#117—118no—
1351#117—118no—
1352#117—118no—
1353#117—118no—
1354#117—118no—
1355#117—118no—
1356#117—118no—
1357#117—118no—
1358#117—118no—
1359#117—118no—
1360C2×C4⋊C4—111no—
1361C2×C4⋊C4—111no—
1362C2×C4⋊C4—111no—
1363C2×C4⋊C4—111no—
1364C2×C4⋊C4—111no—
1365C2×C4⋊C4—111no—
1366C2×C4⋊C4—111no—
1367C2×C4⋊C4—111no—
1368C2×C4⋊C4—111no—
1369C2×C4⋊C4—111no—
1370C2×C4⋊C4—111no—
1371C2×C4⋊C4—111no—
1372C2×C4⋊C4—111no—
1373C2×C4⋊C4—111no—
1374C2×C4⋊C4—111no—
1375C2×C4⋊C4—111no—
1376C2×C4⋊C4—111no—
1377C2×C4⋊C4—111no—
1378C2×C4⋊C4—111no—
1379C2×C4⋊C4—111no—
1380C2×C4⋊C4—111no—
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—118no—
1397C2×C4⋊C4—118no—
1398C2×C4⋊C4C22×D1111yescharacteristic
1399C2×C4⋊C4C22×D1111yescharacteristic
1400C2×C4⋊C4C22×D1111yescharacteristic
1401C2×C4⋊C4C22×D1111yescharacteristic
1402C2×C4⋊C4C22×D1111yescharacteristic
1403C2×C4⋊C4C22×D1111yescharacteristic
1404C2×C4⋊C4C22×D1111yescharacteristic
1405C2×C4⋊C4C22×D1111yescharacteristic
1406C2×C4⋊C4C22×D1111yescharacteristic
1407C2×C4⋊C4C22×D1111yescharacteristic
1408C2×C4⋊C4C22×D1111yescharacteristic
1409C2×C4⋊C4C22×D1111yescharacteristic
1410C2×C4⋊C4C22×D1118yescomplemented
1411C2×C4⋊C4C22×D1118yescomplemented
1412C2×C4⋊C4C22×D1118yescomplemented
1413C2×C22⋊C4—111no—
1414C2×C22⋊C4—111no—
1415C2×C22⋊C4—111no—
1416C2×C22⋊C4—111no—
1417C2×C22⋊C4—118no—
1418C2×C22⋊C4—111no—
1419C2×C22⋊C4—111no—
1420C2×C22⋊C4—111no—
1421C2×C22⋊C4—111no—
1422C2×C22⋊C4—111no—
1423C2×C22⋊C4—111no—
1424C2×C22⋊C4—111no—
1425C2×C22⋊C4—111no—
1426C2×C22⋊C4—111no—
1427C2×C22⋊C4—111no—
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—111no—
1448C2×C22⋊C4—118no—
1449C2×C22⋊C4—118no—
1450C2×C22⋊C4—118no—
1451C2×C22⋊C4—118no—
1452C2×C22⋊C4C22×D1111yescharacteristic
1453C2×C22⋊C4C22×D1111yescharacteristic
1454C2×C22⋊C4C22×D1111yescharacteristic
1455C2×C22⋊C4C22×D1111yescharacteristic
1456C2×C22⋊C4C22×D1111yescharacteristic
1457C2×C22⋊C4C22×D1111yescharacteristic
1458C2×C22⋊C4C22×D1111yescharacteristic
1459C2×C22⋊C4C22×D1111yescharacteristic
1460C2×C22⋊C4C22×D1118yes—
1461C2×C22⋊C4C22×D1111yescharacteristic
1462C2×C22⋊C4C22×D1111yescharacteristic
1463C2×C22⋊C4C22×D1111yescharacteristic
1464C2×C22⋊C4C22×D1111yescharacteristic
1465C2×C22⋊C4C22×D1118yes—
1466C2×C22⋊C4C22×D1118yes—
1467C2×C42—111no—
1468C2×C42—111no—
1469C2×C42—111no—
1470C2×C42—111no—
1471C2×C42—111no—
1472C2×C42—111no—
1473C2×C42—111no—
1474C2×C42—111no—
1475C2×C42—111no—
1476C2×C42—111no—
1477C2×C42—111no—
1478C2×C42—111no—
1479C2×C42—111no—
1480C2×C42—111no—
1481C2×C42—118no—
1482C2×C42—118no—
1483C2×C42C22×D1111yescharacteristic
1484C2×C42C22×D1111yescharacteristic
1485C2×C42C22×D1111yescharacteristic
1486C2×C42C22×D1111yescharacteristic
1487C2×C42C22×D1118yescomplemented
1488C2×C11—24no—
1489C2×C11—42no—
1490C2×C11—42no—
1491C2×C11#352114yescomplemented
1492C2×C11C23×#4111yescharacteristic
1493C2×C11C2×#58511yescharacteristic
1494C2×C11C2×#58511yescharacteristic
1495D11—24no—
1496D11—42no—
1497D11—42no—
1498D11—42no—
1499C24—24no—
1500C24—42no—
1501C24—42no—
1502C24—111no—
1503C24—111no—
1504C24—111no—
1505C24—111no—
1506C24—114no—
1507C24—224no—
1508C24—442no—
1509C24—442no—
1510C24C23×D1111yescharacteristic
1511C24C23×D1111yescharacteristic
1512C24C23×D1111yescharacteristic
1513C24C23×D1114yes—
1514#41—2232no—
1515#41—2232no—
1516C2×Q8—114no—
1517C2×Q8—114no—
1518C2×Q8—114no—
1519C2×Q8—114no—
1520C2×Q8—114no—
1521C2×Q8—224no—
1522C2×Q8—224no—
1523C2×Q8—442no—
1524C2×Q8—442no—
1525C2×Q8—442no—
1526C2×D4—118no—
1527C2×D4—114no—
1528C2×D4—114no—
1529C2×D4—114no—
1530C2×D4—114no—
1531C2×D4—114no—
1532C2×D4—114no—
1533C2×D4—114no—
1534C2×D4—114no—
1535C2×D4—114no—
1536C2×D4—114no—
1537C2×D4—114no—
1538C2×D4—114no—
1539C2×D4—114no—
1540C2×D4—114no—
1541C2×D4—114no—
1542C2×D4—224no—
1543C2×D4—224no—
1544C2×D4—224no—
1545C2×D4—2232no—
1546C2×D4—224no—
1547C2×D4—224no—
1548C2×D4—224no—
1549C2×D4—224no—
1550C2×D4—442no—
1551C2×D4—442no—
1552C2×D4—442no—
1553C2×D4—442no—
1554C2×D4—442no—
1555C2×D4—442no—
1556C2×D4—442no—
1557C22×C4—24no—
1558C22×C4—24no—
1559C22×C4—42no—
1560C22×C4—42no—
1561C22×C4—42no—
1562C22×C4—42no—
1563C22×C4—111no—
1564C22×C4—114no—
1565C22×C4—111no—
1566C22×C4—111no—
1567C22×C4—111no—
1568C22×C4—111no—
1569C22×C4—111no—
1570C22×C4—111no—
1571C22×C4—111no—
1572C22×C4—111no—
1573C22×C4—111no—
1574C22×C4—111no—
1575C22×C4—111no—
1576C22×C4—114no—
1577C22×C4—114no—
1578C22×C4—114no—
1579C22×C4—114no—
1580C22×C4—114no—
1581C22×C4—114no—
1582C22×C4—114no—
1583C22×C4—114no—
1584C22×C4—114no—
1585C22×C4—114no—
1586C22×C4—114no—
1587C22×C4—114no—
1588C22×C4—114no—
1589C22×C4—114no—
1590C22×C4—114no—
1591C22×C4—114no—
1592C22×C4—224no—
1593C22×C4—224no—
1594C22×C4—224no—
1595C22×C4—224no—
1596C22×C4—224no—
1597C22×C4—442no—
1598C22×C4—442no—
1599C22×C4—442no—
1600C22×C4—442no—
1601C22×C4—442no—
1602C22×C4—442no—
1603C22×C4—442no—
1604C22×C4—442no—
1605C22×C4—442no—
1606C22×C4—442no—
1607C22×C4—442no—
1608C22×C4—442no—
1609C22×C4C23×D1114yes—
1610C22×C4C23×D1114yes—
1611C22×C4C23×D1111yescharacteristic
1612C22×C4C23×D1111yescharacteristic
1613C22×C4C23×D1111yescharacteristic
1614C22×C4C23×D1111yescharacteristic
1615C22×C4C23×D1111yescharacteristic
1616C22×C4C23×D1111yescharacteristic
1617C22×C4C23×D1111yescharacteristic
1618C22×C4C23×D1111yescharacteristic
1619C22×C4C23×D1111yescharacteristic
1620C22×C4C23×D1111yescharacteristic
1621C22×C4C23×D1111yescharacteristic
1622C22×C4C23×D1111yescharacteristic
1623C22×C4C23×D1114yes—
1624C22×C4C23×D1114yes—
1625C22×C4C23×D1114yes—
1626C22×C4C23×D1114yes—
1627C4⋊C4—114no—
1628C4⋊C4—114no—
1629C4⋊C4—114no—
1630C4⋊C4—114no—
1631C4⋊C4—114no—
1632C4⋊C4—114no—
1633C4⋊C4—114no—
1634C4⋊C4—114no—
1635C4⋊C4—114no—
1636C4⋊C4—114no—
1637C4⋊C4—114no—
1638C4⋊C4—114no—
1639C4⋊C4—114no—
1640C4⋊C4—114no—
1641C4⋊C4—114no—
1642C4⋊C4—114no—
1643C4⋊C4—114no—
1644C4⋊C4—114no—
1645C4⋊C4—114no—
1646C4⋊C4—114no—
1647C4⋊C4—114no—
1648C4⋊C4—114no—
1649C4⋊C4—114no—
1650C4⋊C4—114no—
1651C4⋊C4—114no—
1652C4⋊C4—114no—
1653C4⋊C4—114no—
1654C4⋊C4—114no—
1655C4⋊C4—114no—
1656C4⋊C4—114no—
1657C4⋊C4—114no—
1658C4⋊C4—114no—
1659C4⋊C4—114no—
1660C4⋊C4—114no—
1661C4⋊C4C23×D1114yes—
1662C4⋊C4C23×D1114yes—
1663C4⋊C4C23×D1114yes—
1664C4⋊C4C23×D1114yes—
1665C4⋊C4C23×D1114yes—
1666C4⋊C4C23×D1114yes—
1667C4⋊C4C23×D1114yes—
1668C4⋊C4C23×D1114yes—
1669C4⋊C4C23×D1114yes—
1670C4⋊C4C23×D1114yes—
1671C4⋊C4C23×D1114yes—
1672C4⋊C4C23×D1114yes—
1673C22⋊C4—114no—
1674C22⋊C4—114no—
1675C22⋊C4—114no—
1676C22⋊C4—114no—
1677C22⋊C4—114no—
1678C22⋊C4—114no—
1679C22⋊C4—114no—
1680C22⋊C4—114no—
1681C22⋊C4—114no—
1682C22⋊C4—114no—
1683C22⋊C4—114no—
1684C22⋊C4—114no—
1685C22⋊C4—114no—
1686C22⋊C4—114no—
1687C22⋊C4—114no—
1688C22⋊C4—114no—
1689C22⋊C4—114no—
1690C22⋊C4—114no—
1691C22⋊C4—114no—
1692C22⋊C4—114no—
1693C22⋊C4—114no—
1694C22⋊C4—114no—
1695C22⋊C4—114no—
1696C22⋊C4—114no—
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⋊C4C23×D1114yes—
1708C22⋊C4C23×D1114yes—
1709C22⋊C4C23×D1114yes—
1710C22⋊C4C23×D1114yes—
1711C22⋊C4C23×D1114yes—
1712C22⋊C4C23×D1114yes—
1713C22⋊C4C23×D1114yes—
1714C22⋊C4C23×D1114yes—
1715C22⋊C4C23×D1114yes—
1716C22⋊C4C23×D1114yes—
1717C22⋊C4C23×D1114yes—
1718C22⋊C4C23×D1114yes—
1719C42—114no—
1720C42—114no—
1721C42—114no—
1722C42—114no—
1723C42—114no—
1724C42—114no—
1725C42—114no—
1726C42—114no—
1727C42—114no—
1728C42—114no—
1729C42—114no—
1730C42—114no—
1731C42—114no—
1732C42—114no—
1733C42C23×D1114yes—
1734C42C23×D1114yes—
1735C42C23×D1114yes—
1736C42C23×D1114yes—
1737C11C2×#352111yescharacteristic, complemented, Sylow
1738C23—22no—
1739C23—22no—
1740C23—22no—
1741C23—22no—
1742C23—22no—
1743C23—22no—
1744C23—22no—
1745C23—22no—
1746C23—28no—
1747C23—44no—
1748C23—44no—
1749C23—88no—
1750C23—114no—
1751C23—112no—
1752C23—112no—
1753C23—112no—
1754C23—112no—
1755C23—228no—
1756C23—222no—
1757C23—222no—
1758C23—222no—
1759C23—222no—
1760C23—222no—
1761C23—222no—
1762C23—222no—
1763C23—222no—
1764C23—222no—
1765C23—222no—
1766C23—222no—
1767C23—444no—
1768C23—444no—
1769C23—888no—
1770C23#41×D1114yes—
1771C23C24×D1112yes—
1772C23C24×D1112yes—
1773C23C24×D1112yes—
1774C23C24×D1111yescharacteristic
1775Q8—228no—
1776Q8—228no—
1777Q8—444no—
1778Q8—444no—
1779Q8—444no—
1780D4—1116no—
1781D4—228no—
1782D4—228no—
1783D4—228no—
1784D4—228no—
1785D4—228no—
1786D4—228no—
1787D4—228no—
1788D4—444no—
1789D4—444no—
1790D4—444no—
1791D4—444no—
1792D4—444no—
1793D4—444no—
1794D4—444no—
1795C2×C4—22no—
1796C2×C4—22no—
1797C2×C4—22no—
1798C2×C4—22no—
1799C2×C4—28no—
1800C2×C4—28no—
1801C2×C4—22no—
1802C2×C4—22no—
1803C2×C4—22no—
1804C2×C4—22no—
1805C2×C4—22no—
1806C2×C4—22no—
1807C2×C4—22no—
1808C2×C4—22no—
1809C2×C4—44no—
1810C2×C4—44no—
1811C2×C4—44no—
1812C2×C4—44no—
1813C2×C4—114no—
1814C2×C4—112no—
1815C2×C4—112no—
1816C2×C4—112no—
1817C2×C4—112no—
1818C2×C4—112no—
1819C2×C4—112no—
1820C2×C4—112no—
1821C2×C4—112no—
1822C2×C4—112no—
1823C2×C4—112no—
1824C2×C4—112no—
1825C2×C4—112no—
1826C2×C4—228no—
1827C2×C4—228no—
1828C2×C4—228no—
1829C2×C4—228no—
1830C2×C4—228no—
1831C2×C4—222no—
1832C2×C4—222no—
1833C2×C4—222no—
1834C2×C4—222no—
1835C2×C4—222no—
1836C2×C4—222no—
1837C2×C4—222no—
1838C2×C4—222no—
1839C2×C4—222no—
1840C2×C4—222no—
1841C2×C4—222no—
1842C2×C4—444no—
1843C2×C4—444no—
1844C2×C4—444no—
1845C2×C4—444no—
1846C2×C4—444no—
1847C2×C4—444no—
1848C2×C4—444no—
1849C2×C4—444no—
1850C2×C4—444no—
1851C2×C4—444no—
1852C2×C4—444no—
1853C2×C4—444no—
1854C2×C4C24×D1112yes—
1855C2×C4C24×D1112yes—
1856C2×C4C24×D1112yes—
1857C2×C4C24×D1112yes—
1858C2×C4C24×D1112yes—
1859C2×C4C24×D1112yes—
1860C2×C4C24×D1112yes—
1861C2×C4C24×D1112yes—
1862C2×C4C24×D1112yes—
1863C2×C4C24×D1112yes—
1864C2×C4C24×D1112yes—
1865C2×C4C24×D1112yes—
1866C22—22no—
1867C22—22no—
1868C22—28no—
1869C22—22no—
1870C22—22no—
1871C22—22no—
1872C22—22no—
1873C22—22no—
1874C22—22no—
1875C22—44no—
1876C22—44no—
1877C22—88no—
1878C22—114no—
1879C22—222no—
1880C22—222no—
1881C22—228no—
1882C22—222no—
1883C22—222no—
1884C22—222no—
1885C22—222no—
1886C22—222no—
1887C22—222no—
1888C22—222no—
1889C22—222no—
1890C22—222no—
1891C22—444no—
1892C22—444no—
1893C22—444no—
1894C22—888no—
1895C22C2×#41×D1114yes—
1896C22C2×#41×D1112yes—
1897C22#1062345312yes—
1898C22#1062345312yes—
1899C22C25×D1111yescharacteristic
1900C4—22no—
1901C4—22no—
1902C4—22no—
1903C4—22no—
1904C4—22no—
1905C4—22no—
1906C4—22no—
1907C4—22no—
1908C4—22no—
1909C4—22no—
1910C4—22no—
1911C4—22no—
1912C4—114no—
1913C4—222no—
1914C4—222no—
1915C4—222no—
1916C4—222no—
1917C4—222no—
1918C4—222no—
1919C4—222no—
1920C4—222no—
1921C4—222no—
1922C4—222no—
1923C4—222no—
1924C2—24no—
1925C2—42no—
1926C2—42no—
1927C2—224no—
1928C2—442no—
1929C2—442no—
1930C2—442no—
1931C2#1308267614yesdirect product factor
1932C2C22×#41×D1111yescharacteristic
1933C2C2×#1062345311yescharacteristic
1934C2C2×#1062345311yescharacteristic
subgroupG/H
centerC23C24×D11
commutator, cosocleC22×C11C26
FrattiniC22C25×D11
FittingC22×C11×#126C2
socleC23×C11C25
hypercenterC22×#126D11
hypocenterC11C2×#3521
LCSG ▷ C22×C11 ▷ C11
UCSC1 ◁ C23 ◁ C22×#126

Complements

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

NH ≅ G/Ntype
1. #13082676C2direct (N × H)
2. C2×#10623233C2semidirect
3. C2×#10623233C2semidirect
4. C2×#10623042C2semidirect
5. C2×#10623240C2semidirect
6. C2×#10623240C2semidirect
7. C2×#10623045C2semidirect
8. C2×#10623239C2semidirect
9. C2×#10623239C2semidirect
10. C2×#10623044C2semidirect
11. C2×#10623026C2semidirect
12. C2×#10623026C2semidirect
13. C2×#10623236C2semidirect
14. C2×#10623236C2semidirect
15. C2×#10623038C2semidirect
16. C2×#10623021C2semidirect
17. C2×#10623021C2semidirect
18. C2×#10623241C2semidirect
19. C2×#10623232C2semidirect
20. C2×#10623046C2semidirect
21. C2×#10623238C2semidirect
22. C2×#10623235C2semidirect
23. C2×#10623025C2semidirect
24. C2×#10623010C2semidirect
25. C2×#10623237C2semidirect
26. C2×#10623237C2semidirect
27. C2×#10623237C2semidirect
28. C2×D11×#126C2semidirect
29. C2×#10623035C2semidirect
30. C2×#10623017C2semidirect
31. C2×C4×#4339C2semidirect
32. C22×C11×#126C2semidirect
40. C2×C11×#126C22semidirect
41. C2×C11×#126C22semidirect
42. C2×C11×#126C22semidirect
43. C2×C11×#126C22semidirect
44. C2×C11×#126C22semidirect
45. C22×C11×C4⋊C4C22semidirect
46. C22×C11×C4⋊C4C22semidirect
47. C22×C11×C4⋊C4C22semidirect
51. C22×C42×C11C22semidirect
57. C2×#66983C22semidirect
60. C2×#66982C22semidirect
61. C2×#66982C22semidirect
68. C2×C4×C22⋊D11C22semidirect
69. C2×C4×C22⋊D11C22semidirect
70. C2×C4×C22⋊D11C22semidirect
71. C2×C4×C22⋊D11C22semidirect
72. C2×#66979C22semidirect
73. C2×#66979C22semidirect
74. C2×#66977C22semidirect
75. C2×#66977C22semidirect
76. C2×#66977C22semidirect
77. #10623241C22semidirect
78. #10623240C22semidirect
79. #10623240C22semidirect
80. #10623239C22semidirect
81. #10623239C22semidirect
82. #10623238C22semidirect
83. #10623237C22semidirect
84. #10623237C22semidirect
85. #10623237C22semidirect
86. #10623236C22semidirect
87. #10623236C22semidirect
88. #10623235C22semidirect
89. D11×#126C22semidirect
90. #10623233C22semidirect
91. #10623233C22semidirect
92. #10623232C22semidirect
93. #10623046C22semidirect
94. #10623045C22semidirect
95. #10623044C22semidirect
96. C2×#66951C22semidirect
97. C2×#66951C22semidirect
98. C2×#66951C22semidirect
99. C2×#66951C22semidirect
100. C2×#66951C22semidirect
101. C2×#66951C22semidirect
102. #10623042C22semidirect
103. C2×#66950C22semidirect
104. C2×#66950C22semidirect
105. C2×#66949C22semidirect
106. C2×#66949C22semidirect
107. C2×#66949C22semidirect
108. C2×#66949C22semidirect
109. C2×#66949C22semidirect
110. C2×#66949C22semidirect
111. #10623038C22semidirect
112. C2×#66948C22semidirect
113. C2×#66948C22semidirect
114. C2×#66947C22semidirect
115. C2×#66947C22semidirect
116. C2×#66947C22semidirect
117. C2×#66947C22semidirect
118. C2×#66947C22semidirect
119. C2×#66947C22semidirect
120. #10623035C22semidirect
121. C2×#66946C22semidirect
122. C2×#66946C22semidirect
123. C2×#66946C22semidirect
124. C2×#66946C22semidirect
125. C2×#66945C22semidirect
126. C2×#66945C22semidirect
127. C2×#66945C22semidirect
128. C2×#66945C22semidirect
129. C2×C4⋊C4×D11C22semidirect
130. C2×C4⋊C4×D11C22semidirect
131. C2×C4⋊C4×D11C22semidirect
132. C2×C4⋊C4×D11C22semidirect
133. C2×#66943C22semidirect
134. C2×#66943C22semidirect
135. C2×#66942C22semidirect
136. C2×#66942C22semidirect
137. C2×#66942C22semidirect
138. C2×#66942C22semidirect
139. C2×#66942C22semidirect
140. C2×#66942C22semidirect
141. C2×#66941C22semidirect
142. C2×#66941C22semidirect
143. C2×#66940C22semidirect
144. C2×#66940C22semidirect
145. C2×#66940C22semidirect
146. C2×#66940C22semidirect
147. #10623026C22semidirect
148. #10623026C22semidirect
149. #10623025C22semidirect
150. C2×#66939C22semidirect
151. C2×#66939C22semidirect
157. C2×#66938C22semidirect
158. #10623021C22semidirect
159. #10623021C22semidirect
165. C2×#66937C22semidirect
171. C2×#66936C22semidirect
174. #10623017C22semidirect
181. C2×(C22⋊D11)⋊C4C22semidirect
182. C2×(C22⋊D11)⋊C4C22semidirect
192. C2×#66932C22semidirect
195. C2×#66931C22semidirect
196. C2×#66931C22semidirect
199. C2×#66930C22semidirect
200. C2×#66930C22semidirect
201. #10623010C22semidirect
202. C2×#66929C22semidirect
203. C2×#66929C22semidirect
204. C2×#66928C22semidirect
205. C4×#4339C22semidirect
206. C2×C4×D44C22semidirect
207. C2×C4×D44C22semidirect
208. C2×C4×D44C22semidirect
209. C2×#66925C22semidirect
210. C2×#66925C22semidirect
211. C2×#66925C22semidirect
212. C2×#66925C22semidirect
213. C2×C42×D11C22semidirect
214. C2×C42×D11C22semidirect
215. C2×#66923C22semidirect
216. C2×C4×Dic22C22semidirect
217. C2×C4×Dic22C22semidirect
218. C2×C4×Dic22C22semidirect
274. C11×#126C23semidirect
275. C11×#126C23semidirect
276. C11×#126C23semidirect
277. C11×#126C23semidirect
290. C2×C11×C4⋊C4C23semidirect
291. C2×C11×C4⋊C4C23semidirect
292. C2×C11×C4⋊C4C23semidirect
312. C2×C42×C11C23semidirect
328. #66983C23semidirect
331. #66982C23semidirect
332. #66982C23semidirect
339. C4×C22⋊D11C23semidirect
340. C4×C22⋊D11C23semidirect
341. C4×C22⋊D11C23semidirect
342. C4×C22⋊D11C23semidirect
367. #66979C23semidirect
368. #66979C23semidirect
379. #66977C23semidirect
380. #66977C23semidirect
381. #66977C23semidirect
420. #66951C23semidirect
421. #66951C23semidirect
422. #66951C23semidirect
423. #66951C23semidirect
424. #66951C23semidirect
425. #66951C23semidirect
426. #66950C23semidirect
427. #66950C23semidirect
428. #66949C23semidirect
429. #66949C23semidirect
430. #66949C23semidirect
431. #66949C23semidirect
432. #66949C23semidirect
433. #66949C23semidirect
434. #66948C23semidirect
435. #66948C23semidirect
436. #66947C23semidirect
437. #66947C23semidirect
438. #66947C23semidirect
439. #66947C23semidirect
440. #66947C23semidirect
441. #66947C23semidirect
442. #66946C23semidirect
443. #66946C23semidirect
444. #66946C23semidirect
445. #66946C23semidirect
446. #66945C23semidirect
447. #66945C23semidirect
448. #66945C23semidirect
449. #66945C23semidirect
450. C4⋊C4×D11C23semidirect
451. C4⋊C4×D11C23semidirect
452. C4⋊C4×D11C23semidirect
453. C4⋊C4×D11C23semidirect
454. #66943C23semidirect
455. #66943C23semidirect
456. #66942C23semidirect
457. #66942C23semidirect
458. #66942C23semidirect
459. #66942C23semidirect
460. #66942C23semidirect
461. #66942C23semidirect
462. #66941C23semidirect
463. #66941C23semidirect
464. #66940C23semidirect
465. #66940C23semidirect
466. #66940C23semidirect
467. #66940C23semidirect
468. #66939C23semidirect
469. #66939C23semidirect
475. #66938C23semidirect
481. #66937C23semidirect
487. #66936C23semidirect
496. (C22⋊D11)⋊C4C23semidirect
497. (C22⋊D11)⋊C4C23semidirect
507. #66932C23semidirect
510. #66931C23semidirect
511. #66931C23semidirect
514. #66930C23semidirect
515. #66930C23semidirect
516. #66929C23semidirect
517. #66929C23semidirect
518. #66928C23semidirect
519. C4×D44C23semidirect
520. C4×D44C23semidirect
521. C4×D44C23semidirect
522. #66925C23semidirect
523. #66925C23semidirect
524. #66925C23semidirect
525. #66925C23semidirect
526. C42×D11C23semidirect
527. C42×D11C23semidirect
528. #66923C23semidirect
529. C4×Dic22C23semidirect
530. C4×Dic22C23semidirect
531. C4×Dic22C23semidirect
799. C22×#126D11semidirect
981. C2×#126C2×D11semidirect
982. C2×#126C2×D11semidirect
983. C2×#126C2×D11semidirect
984. C2×#126C2×D11semidirect
985. C2×#126C2×D11semidirect
1103. C22×C4⋊C4C2×D11semidirect
1104. C22×C4⋊C4C2×D11semidirect
1105. C22×C4⋊C4C2×D11semidirect
1116. C22×C42C2×D11semidirect
1246. #126C22×D11semidirect
1247. #126C22×D11semidirect
1248. #126C22×D11semidirect
1249. #126C22×D11semidirect
1410. C2×C4⋊C4C22×D11semidirect
1411. C2×C4⋊C4C22×D11semidirect
1412. C2×C4⋊C4C22×D11semidirect
1487. C2×C42C22×D11semidirect
1491. C2×C11#3521semidirect
1737. C11C2×#3521semidirect
1931. C2#13082676direct (N × H)

Maximal subgroups

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

subgroupindex
#130826762
C2×#106232332
C2×#106230422
C2×#106232402
C2×#106230452
C2×#106232392
C2×#106230442
C2×#106230262
C2×#106232362
C2×#106230382
C2×#106230212
C2×#106232412
C2×#106232322
C2×#106230462
C2×#106232382
C2×#106232352
C2×#106230252
C2×#106230102
C2×#106232372
C2×D11×#1262
C2×#106230352
C2×#106230172
C2×C4×#43392
C22×C11×#1262
C2×#352111