Finite Group Databasebeta

← C2×#13082906 #15660937

Subgroups — C2×#13082906 #15660937

Order 2816.

7258 conjugacy classes of subgroups.

The subgroup lattice has 1960 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#13082906C2132yesmaximal, direct product factor
2C2×#10623177C211yesmaximal, characteristic, complemented
3C2×#10623198C211yesmaximal, characteristic, complemented
4C2×#10623178C211yesmaximal, characteristic, complemented
5C2×#10623233C211yesmaximal, characteristic, complemented
6C2×#10623261C211yesmaximal, characteristic, complemented
7C2×#10623221C211yesmaximal, characteristic, complemented
8C2×#10623167C211yesmaximal, characteristic, complemented
9C2×#10623226C211yesmaximal, characteristic, complemented
10C2×#10623240C211yesmaximal, characteristic, complemented
11C2×#10623240C211yesmaximal, characteristic, complemented
12C2×#10623239C211yesmaximal, characteristic, complemented
13C2×#10623258C211yesmaximal, characteristic, complemented
14C2×#10623164C211yesmaximal, characteristic, complemented
15C2×#10623208C211yesmaximal, characteristic, complemented
16C2×#10623186C211yesmaximal, characteristic, complemented
17C2×#10623264C211yesmaximal, characteristic, complemented
18C2×#10623241C211yesmaximal, characteristic, complemented
19C2×#10623241C211yesmaximal, characteristic, complemented
20C2×#10623227C211yesmaximal, characteristic, complemented
21C2×#10623176C211yesmaximal, characteristic, complemented
22C2×#10623223C211yesmaximal, characteristic, complemented
23C2×#10623235C211yesmaximal, characteristic, complemented
24C2×#10623235C211yesmaximal, characteristic, complemented
25C2×#10623188C211yesmaximal, characteristic, complemented
26C2×#10623209C211yesmaximal, characteristic, complemented
27C2×#10623160C211yesmaximal, characteristic, complemented
28C2×#10623255C211yesmaximal, characteristic, complemented
29C2×#10623158C211yesmaximal, characteristic, complemented
30C2×#10623187C211yesmaximal, characteristic, complemented
31C2×D11×C22⋊Q8C211yesmaximal, characteristic, complemented
32C2×C11×#563C211yesmaximal, characteristic, complemented
33C22×#4343C2211yescharacteristic
34C22×Q8×D11C2211yescharacteristic
35C22×Q8×D11C2211yescharacteristic, complemented
36C22×#4341C2211yescharacteristic
37C22×#4339C2211yescharacteristic, complemented
38C23×C4×D11C2211yescharacteristic
39C11×#563C22116yescomplemented
40C2×C11×C4⋊Q8C2211yescharacteristic, complemented
41C2×C11×C4⋊Q8C2211yescharacteristic, complemented
42C2×C11×#126C2211yescharacteristic
43C2×C11×#126C2211yescharacteristic
44C2×C11×#126C2211yescharacteristic, complemented
45C2×C11×#126C2211yescharacteristic, complemented
46C2×C11×#125C2211yescharacteristic, complemented
47C2×C11×#125C2211yescharacteristic, complemented
48C2×C11×#124C2211yescharacteristic
49C2×C11×#123C2211yescharacteristic
50C2×C11×#123C2211yescharacteristic
51C2×C11×C22⋊Q8C2211yescharacteristic
52C2×C11×C22⋊Q8C2211yescharacteristic
53C2×C11×C22⋊Q8C2211yescharacteristic, complemented
54C2×C11×C22⋊Q8C2211yescharacteristic, complemented
55C2×#67000C2211yescharacteristic
56C2×#67000C2211yescharacteristic, complemented
57C2×#66999C2211yescharacteristic
58C2×#66999C2211yescharacteristic
59C2×#66999C2211yescharacteristic
60C2×#66999C2211yescharacteristic, complemented
61C2×#66999C2211yescharacteristic, complemented
62C2×#66999C2211yescharacteristic, complemented
63C2×#66997C2211yescharacteristic, complemented
64C2×#66992C2211yescharacteristic
65C2×#66991C2211yescharacteristic
66C2×#66990C2211yescharacteristic
67C2×#66983C2211yescharacteristic
68C2×#66983C2211yescharacteristic
69C2×#66982C2211yescharacteristic
70C2×C4×C22⋊D11C2211yescharacteristic
71C2×#66977C2211yescharacteristic
72C22×Dic11⋊C4C2211yescharacteristic, complemented
73#10623264C22116yescomplemented
74#10623261C22116yescomplemented
75#10623258C22116yescomplemented
76#10623255C22116yescomplemented
77#10623241C22116yescomplemented
78#10623241C22116yescomplemented
79#10623240C22116yescomplemented
80#10623240C22116yescomplemented
81#10623239C22116yescomplemented
82#10623235C22116yescomplemented
83#10623235C22116yescomplemented
84#10623233C22116yescomplemented
85#10623227C22116yescomplemented
86#10623226C22116yescomplemented
87#10623223C22116yescomplemented
88#10623221C22116yescomplemented
89#10623209C22116yescomplemented
90#10623208C22116yescomplemented
91#10623198C22116yescomplemented
92#10623188C22116yescomplemented
93#10623187C22116yescomplemented
94#10623186C22116yescomplemented
95#10623178C22116yescomplemented
96#10623177C22116yescomplemented
97#10623176C22116yescomplemented
98#10623167C22116yescomplemented
99#10623164C22116yescomplemented
100#10623160C22116yescomplemented
101#10623158C22116yescomplemented
102D11×C22⋊Q8C22116yescomplemented
103C2×#66951C2211yescharacteristic
104C2×#66951C2211yescharacteristic
105C2×#66951C2211yescharacteristic
106C2×#66951C2211yescharacteristic, complemented
107C2×#66951C2211yescharacteristic, complemented
108C2×#66951C2211yescharacteristic, complemented
109C2×#66951C2211yescharacteristic, complemented
110C2×#66950C2211yescharacteristic
111C2×#66950C2211yescharacteristic
112C2×#66950C2211yescharacteristic, complemented
113C2×#66950C2211yescharacteristic, complemented
114C2×#66949C2211yescharacteristic
115C2×#66949C2211yescharacteristic
116C2×#66949C2211yescharacteristic
117C2×#66949C2211yescharacteristic
118C2×#66949C2211yescharacteristic
119C2×#66949C2211yescharacteristic
120C2×#66949C2211yescharacteristic, complemented
121C2×#66949C2211yescharacteristic, complemented
122C2×#66949C2211yescharacteristic, complemented
123C2×#66949C2211yescharacteristic, complemented
124C2×#66949C2211yescharacteristic, complemented
125C2×#66949C2211yescharacteristic, complemented
126C2×#66948C2211yescharacteristic
127C2×#66948C2211yescharacteristic
128C2×#66948C2211yescharacteristic
129C2×#66948C2211yescharacteristic
130C2×#66948C2211yescharacteristic
131C2×#66948C2211yescharacteristic, complemented
132C2×#66947C2211yescharacteristic
133C2×#66947C2211yescharacteristic
134C2×#66947C2211yescharacteristic
135C2×#66947C2211yescharacteristic
136C2×#66947C2211yescharacteristic
137C2×#66947C2211yescharacteristic, complemented
138C2×#66947C2211yescharacteristic, complemented
139C2×#66947C2211yescharacteristic, complemented
140C2×#66947C2211yescharacteristic, complemented
141C2×#66946C2211yescharacteristic
142C2×#66946C2211yescharacteristic
143C2×#66946C2211yescharacteristic
144C2×#66946C2211yescharacteristic
145C2×#66946C2211yescharacteristic
146C2×#66946C2211yescharacteristic
147C2×#66946C2211yescharacteristic
148C2×#66945C2211yescharacteristic
149C2×#66945C2211yescharacteristic, complemented
150C2×C4⋊C4×D11C2211yescharacteristic
151C2×C4⋊C4×D11C2211yescharacteristic
152C2×C4⋊C4×D11C2211yescharacteristic
153C2×C4⋊C4×D11C2211yescharacteristic, complemented
154C2×C4⋊C4×D11C2211yescharacteristic, complemented
155C2×#66943C2211yescharacteristic, complemented
156C2×#66943C2211yescharacteristic, complemented
157C2×#66943C2211yescharacteristic, complemented
158C2×#66942C2211yescharacteristic, complemented
159C2×#66942C2211yescharacteristic, complemented
160C2×#66942C2211yescharacteristic, complemented
161C2×#66942C2211yescharacteristic, complemented
162C2×#66941C2211yescharacteristic, complemented
163C2×#66941C2211yescharacteristic, complemented
164C2×#66941C2211yescharacteristic, complemented
165C2×#66940C2211yescharacteristic, complemented
166C2×#66940C2211yescharacteristic, complemented
167C2×#66939C2211yescharacteristic
168C2×#66939C2211yescharacteristic, complemented
169C2×#66939C2211yescharacteristic, complemented
170C2×#66938C2211yescharacteristic
171C2×#66938C2211yescharacteristic
172C2×#66938C2211yescharacteristic
173C2×#66938C2211yescharacteristic
174C2×#66938C2211yescharacteristic, complemented
175C2×#66938C2211yescharacteristic, complemented
176C2×#66937C2211yescharacteristic
177C2×#66937C2211yescharacteristic
178C2×#66937C2211yescharacteristic
179C2×#66937C2211yescharacteristic
180C2×#66937C2211yescharacteristic
181C2×#66937C2211yescharacteristic
182C2×#66937C2211yescharacteristic
183C2×#66937C2211yescharacteristic, complemented
184C2×#66937C2211yescharacteristic, complemented
185C2×#66936C2211yescharacteristic
186C2×#66936C2211yescharacteristic
187C2×#66936C2211yescharacteristic
188C2×#66935C2211yescharacteristic
189C2×#66935C2211yescharacteristic
190C2×#66935C2211yescharacteristic
191C2×(C22⋊D11)⋊C4C2211yescharacteristic
192C2×(C22⋊D11)⋊C4C2211yescharacteristic
193C2×(C22⋊D11)⋊C4C2211yescharacteristic
194C2×(C22⋊D11)⋊C4C2211yescharacteristic
195C2×(C22⋊D11)⋊C4C2211yescharacteristic
196C2×(C22⋊D11)⋊C4C2211yescharacteristic, complemented
197C2×(C22⋊D11)⋊C4C2211yescharacteristic, complemented
198C2×C22⋊C4×D11C2211yescharacteristic
199C2×C22⋊C4×D11C2211yescharacteristic
200C2×#66932C2211yescharacteristic
201C2×#66932C2211yescharacteristic
202C2×#66931C2211yescharacteristic
203C2×#66931C2211yescharacteristic
204C2×#66931C2211yescharacteristic, complemented
205C2×#66931C2211yescharacteristic, complemented
206C2×#66930C2211yescharacteristic
207C2×#66929C2211yescharacteristic
208C2×#66928C2211yescharacteristic
209C2×#66928C2211yescharacteristic
210C2×C4×D44C2211yescharacteristic
211C2×C4×D44C2211yescharacteristic
212C2×C4×D44C2211yescharacteristic
213C2×C4×D44C2211yescharacteristic, complemented
214C2×#66925C2211yescharacteristic, complemented
215C2×#66925C2211yescharacteristic, complemented
216C2×C4×Dic22C2211yescharacteristic, complemented
217C2×C4×Dic22C2211yescharacteristic, complemented
218C2×C4×Dic22C2211yescharacteristic, complemented
219C24×D11C2311yescharacteristic
220C22×Q8×C11C2311yescharacteristic
221C22×Q8×C11C2311yescharacteristic
222C22×Q8×C11C2311yescharacteristic
223C22×D4×C11C2311yescharacteristic
224C23×C4×C11C2311yescharacteristic
225C23×C4×C11C2311yescharacteristic
226C22×C22⋊D11C2311yescharacteristic
227C22×C22⋊D11C2311yescharacteristic
228C22×C22⋊D11C2311yescharacteristic
229C22×C22⋊D11C2311yescharacteristic
230C22×C22⋊D11C2311yescharacteristic
231C22×C22⋊D11C2311yescharacteristic
232C22×C22⋊D11C2311yescharacteristic
233C22×C22⋊D11C2311yescharacteristic
234C23×Dic11C2311yescharacteristic
235C23×Dic11C2311yescharacteristic
236C23×Dic11C2311yescharacteristic
237C2×#4343—44no—
238C2×#4343C2318yes—
239C2×Q8×D11—44no—
240C2×Q8×D11—44no—
241C2×Q8×D11C2318yes—
242C2×Q8×D11C2318yescomplemented
243C2×#4341—44no—
244C2×#4341C2318yes—
245C2×#4339—44no—
246C2×#4339C2318yescomplemented
247C22×D44C2311yescharacteristic
248C22×D44C2311yescharacteristic
249C22×D44C2311yescharacteristic
250C22×D44C2311yescharacteristic
251C22×D44C2311yescharacteristic
252C22×D44C2311yescharacteristic
253C22×D44C2311yescharacteristic
254C22×D44C2311yescharacteristic
255C22×D44C2311yescharacteristic
256C22×C4×D11—44no—
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×D11C2311yescharacteristic
270C22×C4×D11C2311yescharacteristic
271C22×C4×D11C2311yescharacteristic
272C22×C4×D11C2311yescharacteristic
273C22×C4×D11C2311yescharacteristic
274C22×C4×D11C2318yes—
275C22×Dic22C2311yescharacteristic
276C22×Dic22C2311yescharacteristic
277C22×Dic22C2311yescharacteristic
278C22×Dic22C2311yescharacteristic
279C22×Dic22C2311yescharacteristic
280C22×Dic22C2311yescharacteristic
281C22×Dic22C2311yescharacteristic
282C11×C4⋊Q8C2318yescomplemented
283C11×C4⋊Q8C2318yescomplemented
284C11×#126C2318yes—
285C11×#126C2318yes—
286C11×#126C2318yescomplemented
287C11×#126C2318yescomplemented
288C11×#125C2318yescomplemented
289C11×#125C2318yescomplemented
290C11×#124C2318yes—
291C11×#123C2318yes—
292C11×#123C2318yes—
293C11×C22⋊Q8C2318yes—
294C11×C22⋊Q8C2318yes—
295C11×C22⋊Q8C2318yescomplemented
296C11×C22⋊Q8C2318yescomplemented
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⋊C4C2311yescharacteristic
311C2×C11×C4⋊C4C2311yescharacteristic
312C2×C11×C4⋊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×C11×C22⋊C4C2311yescharacteristic
320C2×C11×C22⋊C4C2311yescharacteristic
321C2×C11×C22⋊C4C2311yescharacteristic
322C2×C11×C22⋊C4C2311yescharacteristic
323C2×C42×C11C2311yescharacteristic
324C2×C42×C11C2311yescharacteristic
325C2×C42×C11C2311yescharacteristic
326C2×C22⋊Dic11C2311yescharacteristic
327C2×C22⋊Dic11C2311yescharacteristic
328C2×C22⋊Dic11C2311yescharacteristic
329C2×C22⋊Dic11C2311yescharacteristic
330#67000C2318yes—
331#67000C2318yescomplemented
332#66999C2318yes—
333#66999C2318yes—
334#66999C2318yes—
335#66999C2318yescomplemented
336#66999C2318yescomplemented
337#66999C2318yescomplemented
338#66997C2318yescomplemented
339#66992C2318yes—
340#66991C2318yes—
341#66990C2318yes—
342#66983C2318yes—
343#66983C2318yes—
344#66982C2318yes—
345C4×C22⋊D11C2318yes—
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)⋊C4C2311yescharacteristic
375C2×(C2×D11)⋊C4C2311yescharacteristic
376C2×C4⋊Dic11C2311yescharacteristic
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
386#66977C2318yes—
387C2×Dic11⋊C4C2311yescharacteristic
388C2×Dic11⋊C4C2311yescharacteristic
389C2×Dic11⋊C4C2311yescharacteristic
390C2×Dic11⋊C4C2311yescharacteristic
391C2×Dic11⋊C4C2311yescharacteristic
392C2×Dic11⋊C4C2311yescharacteristic
393C2×Dic11⋊C4C2311yescharacteristic
394C2×Dic11⋊C4C2311yescharacteristic
395C2×Dic11⋊C4C2311yescharacteristic
396C2×Dic11⋊C4C2311yescharacteristic
397C2×Dic11⋊C4C2311yescharacteristic
398C2×Dic11⋊C4C2311yescharacteristic
399C2×Dic11⋊C4C2311yescharacteristic
400C2×Dic11⋊C4C2311yescharacteristic
401C2×Dic11⋊C4C2311yescharacteristic
402C2×Dic11⋊C4C2311yescharacteristic
403C2×Dic11⋊C4C2311yescharacteristic
404C2×Dic11⋊C4C2311yescharacteristic
405C2×Dic11⋊C4C2311yescharacteristic
406C2×Dic11⋊C4C2311yescharacteristic
407C2×Dic11⋊C4C2311yescharacteristic
408C2×Dic11⋊C4C2311yescharacteristic
409C2×Dic11⋊C4C2318yescomplemented
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
419#66951C2318yes—
420#66951C2318yes—
421#66951C2318yes—
422#66951C2318yescomplemented
423#66951C2318yescomplemented
424#66951C2318yescomplemented
425#66951C2318yescomplemented
426#66950C2318yes—
427#66950C2318yes—
428#66950C2318yescomplemented
429#66950C2318yescomplemented
430#66949C2318yes—
431#66949C2318yes—
432#66949C2318yes—
433#66949C2318yes—
434#66949C2318yes—
435#66949C2318yes—
436#66949C2318yescomplemented
437#66949C2318yescomplemented
438#66949C2318yescomplemented
439#66949C2318yescomplemented
440#66949C2318yescomplemented
441#66949C2318yescomplemented
442#66948C2318yes—
443#66948C2318yes—
444#66948C2318yes—
445#66948C2318yes—
446#66948C2318yes—
447#66948C2318yescomplemented
448#66947C2318yes—
449#66947C2318yes—
450#66947C2318yes—
451#66947C2318yes—
452#66947C2318yes—
453#66947C2318yescomplemented
454#66947C2318yescomplemented
455#66947C2318yescomplemented
456#66947C2318yescomplemented
457#66946C2318yes—
458#66946C2318yes—
459#66946C2318yes—
460#66946C2318yes—
461#66946C2318yes—
462#66946C2318yes—
463#66946C2318yes—
464#66945C2318yes—
465#66945C2318yescomplemented
466C4⋊C4×D11C2318yes—
467C4⋊C4×D11C2318yes—
468C4⋊C4×D11C2318yes—
469C4⋊C4×D11C2318yescomplemented
470C4⋊C4×D11C2318yescomplemented
471#66943C2318yescomplemented
472#66943C2318yescomplemented
473#66943C2318yescomplemented
474#66942C2318yescomplemented
475#66942C2318yescomplemented
476#66942C2318yescomplemented
477#66942C2318yescomplemented
478#66941C2318yescomplemented
479#66941C2318yescomplemented
480#66941C2318yescomplemented
481#66940C2318yescomplemented
482#66940C2318yescomplemented
483#66939C2318yes—
484#66939C2318yescomplemented
485#66939C2318yescomplemented
486#66938C2318yes—
487#66938C2318yes—
488#66938C2318yes—
489#66938C2318yes—
490#66938C2318yescomplemented
491#66938C2318yescomplemented
492#66937C2318yes—
493#66937C2318yes—
494#66937C2318yes—
495#66937C2318yes—
496#66937C2318yes—
497#66937C2318yes—
498#66937C2318yes—
499#66937C2318yescomplemented
500#66937C2318yescomplemented
501#66936C2318yes—
502#66936C2318yes—
503#66936C2318yes—
504#66935C2318yes—
505#66935C2318yes—
506#66935C2318yes—
507(C22⋊D11)⋊C4C2318yes—
508(C22⋊D11)⋊C4C2318yes—
509(C22⋊D11)⋊C4C2318yes—
510(C22⋊D11)⋊C4C2318yes—
511(C22⋊D11)⋊C4C2318yes—
512(C22⋊D11)⋊C4C2318yescomplemented
513(C22⋊D11)⋊C4C2318yescomplemented
514C22⋊C4×D11C2318yes—
515C22⋊C4×D11C2318yes—
516#66932C2318yes—
517#66932C2318yes—
518#66931C2318yes—
519#66931C2318yes—
520#66931C2318yescomplemented
521#66931C2318yescomplemented
522#66930C2318yes—
523#66929C2318yes—
524#66928C2318yes—
525#66928C2318yes—
526C4×D44C2318yes—
527C4×D44C2318yes—
528C4×D44C2318yes—
529C4×D44C2318yescomplemented
530#66925C2318yescomplemented
531#66925C2318yescomplemented
532C4×Dic22C2318yescomplemented
533C4×Dic22C2318yescomplemented
534C4×Dic22C2318yescomplemented
535C2×#3541—111nomaximal, Sylow
536C24×C11C2411yescharacteristic
537C24×C11C2411yescharacteristic
538C23×D11—24no—
539C23×D11—42no—
540C23×D11—42no—
541C23×D11C2411yescharacteristic
542C23×D11C2411yescharacteristic
543C23×D11C2411yescharacteristic
544C23×D11C2411yescharacteristic
545C23×D11C2411yescharacteristic
546C23×D11C2414yes—
547C2×Q8×C11—42no—
548C2×Q8×C11—42no—
549C2×Q8×C11—42no—
550C2×Q8×C11C2414yes—
551C2×Q8×C11C2414yes—
552C2×Q8×C11C2414yes—
553C2×D4×C11—42no—
554C2×D4×C11C2414yes—
555C22×C4×C11—42no—
556C22×C4×C11—42no—
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×C11C2411yescharacteristic
567C22×C4×C11C2411yescharacteristic
568C22×C4×C11C2411yescharacteristic
569C22×C4×C11C2411yescharacteristic
570C22×C4×C11C2414yes—
571C22×C4×C11C2414yes—
572C2×C22⋊D11—24no—
573C2×C22⋊D11—24no—
574C2×C22⋊D11—42no—
575C2×C22⋊D11—42no—
576C2×C22⋊D11—42no—
577C2×C22⋊D11—42no—
578C2×C22⋊D11—42no—
579C2×C22⋊D11—42no—
580C2×C22⋊D11C2414yes—
581C2×C22⋊D11C2414yes—
582C2×C22⋊D11C2414yes—
583C2×C22⋊D11C2414yes—
584C2×C22⋊D11C2414yes—
585C2×C22⋊D11C2414yes—
586C2×C22⋊D11C2414yes—
587C2×C22⋊D11C2414yes—
588C22×Dic11—24no—
589C22×Dic11—42no—
590C22×Dic11—42no—
591C22×Dic11C2414yes—
592C22×Dic11C2411yescharacteristic
593C22×Dic11C2411yescharacteristic
594C22×Dic11C2411yescharacteristic
595C22×Dic11C2411yescharacteristic
596C22×Dic11C2411yescharacteristic
597C22×Dic11C2411yescharacteristic
598C22×Dic11C2411yescharacteristic
599C22×Dic11C2411yescharacteristic
600C22×Dic11C2411yescharacteristic
601C22×Dic11C2411yescharacteristic
602C22×Dic11C2414yes—
603C22×Dic11C2414yes—
604C22×Dic11C2411yescharacteristic
605#4343—416no—
606Q8×D11—416no—
607Q8×D11—416no—
608#4341—416no—
609#4339—416no—
610C2×D44—24no—
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×D44C2414yes—
628C2×C4×D11—24no—
629C2×C4×D11—24no—
630C2×C4×D11—24no—
631C2×C4×D11—24no—
632C2×C4×D11—42no—
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×D11—42no—
644C2×C4×D11—42no—
645C2×C4×D11—416no—
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×C4×D11C2414yes—
659C2×C4×D11C2414yes—
660C2×C4×D11C2414yes—
661C2×C4×D11C2414yes—
662C2×C4×D11C2414yes—
663C2×Dic22—24no—
664C2×Dic22—24no—
665C2×Dic22—24no—
666C2×Dic22—42no—
667C2×Dic22—42no—
668C2×Dic22—42no—
669C2×Dic22—42no—
670C2×Dic22C2414yes—
671C2×Dic22C2414yes—
672C2×Dic22C2414yes—
673C2×Dic22C2414yes—
674C2×Dic22C2414yes—
675C2×Dic22C2414yes—
676C2×Dic22C2414yes—
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×C4⋊C4C2414yes—
692C11×C4⋊C4C2414yes—
693C11×C22⋊C4C2414yes—
694C11×C22⋊C4C2414yes—
695C11×C22⋊C4C2414yes—
696C11×C22⋊C4C2414yes—
697C11×C22⋊C4C2414yes—
698C11×C22⋊C4C2414yes—
699C11×C22⋊C4C2414yes—
700C11×C22⋊C4C2414yes—
701C11×C22⋊C4C2414yes—
702C11×C22⋊C4C2414yes—
703C42×C11C2414yes—
704C42×C11C2414yes—
705C42×C11C2414yes—
706C22⋊Dic11C2414yes—
707C22⋊Dic11C2414yes—
708C22⋊Dic11C2414yes—
709C22⋊Dic11C2414yes—
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—
740C4⋊Dic11C2414yes—
741C4⋊Dic11C2414yes—
742C4⋊Dic11C2414yes—
743C4⋊Dic11C2414yes—
744C4⋊Dic11C2414yes—
745C4⋊Dic11C2414yes—
746C4⋊Dic11C2414yes—
747C4⋊Dic11C2414yes—
748C4⋊Dic11C2414yes—
749C4⋊Dic11C2414yes—
750Dic11⋊C4C2414yes—
751Dic11⋊C4C2414yes—
752Dic11⋊C4C2414yes—
753Dic11⋊C4C2414yes—
754Dic11⋊C4C2414yes—
755Dic11⋊C4C2414yes—
756Dic11⋊C4C2414yes—
757Dic11⋊C4C2414yes—
758Dic11⋊C4C2414yes—
759Dic11⋊C4C2414yes—
760Dic11⋊C4C2414yes—
761Dic11⋊C4C2414yes—
762Dic11⋊C4C2414yes—
763Dic11⋊C4C2414yes—
764Dic11⋊C4C2414yes—
765Dic11⋊C4C2414yes—
766Dic11⋊C4C2414yes—
767Dic11⋊C4C2414yes—
768Dic11⋊C4C2414yes—
769Dic11⋊C4C2414yes—
770Dic11⋊C4C2414yes—
771Dic11⋊C4C2414yes—
772C4×Dic11C2414yes—
773C4×Dic11C2414yes—
774C4×Dic11C2414yes—
775C4×Dic11C2414yes—
776C4×Dic11C2414yes—
777C4×Dic11C2414yes—
778C4×Dic11C2414yes—
779C4×Dic11C2414yes—
780C4×Dic11C2414yes—
781#3541—1132no—
782C2×#563—111no—
783C2×#563D1111yescharacteristic, complemented
784C2×#562—111no—
785C2×#562—111no—
786C2×#556—111no—
787C2×#554—111no—
788C2×#554—111no—
789C2×#554—111no—
790C2×#553—111no—
791C2×#553—111no—
792C2×#553—111no—
793C2×#552—111no—
794C2×D4×Q8—111no—
795C2×#548—111no—
796C2×#548—111no—
797C2×#547—111no—
798C2×#542—111no—
799C2×#542—111no—
800C2×#542—111no—
801C2×#541—111no—
802C2×#539—111no—
803C2×#539—111no—
804C2×#538—111no—
805C2×#538—111no—
806C2×#538—111no—
807C2×#538—111no—
808C2×#537—111no—
809C2×#536—111no—
810C2×#525—111no—
811C2×#525—111no—
812C22×C22⋊Q8—111no—
813C23×C11—22no—
814C23×C11—22no—
815C23×C11—22no—
816C23×C11—22no—
817C23×C11—22no—
818C23×C11—22no—
819C23×C11C2512yes—
820C23×C11C2512yes—
821C23×C11C2511yescharacteristic
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—22no—
832C22×D11—22no—
833C22×D11—22no—
834C22×D11—22no—
835C22×D11—22no—
836C22×D11—28no—
837C22×D11—44no—
838C22×D11—44no—
839C22×D11—416no—
840C22×D112−1+414yes—
841C22×D11C2512yes—
842C22×D11C2512yes—
843C22×D11C2512yes—
844C22×D11C2512yes—
845C22×D11C2512yes—
846Q8×C11—44no—
847Q8×C11—44no—
848Q8×C11—44no—
849D4×C11—44no—
850C2×C4×C11—22no—
851C2×C4×C11—22no—
852C2×C4×C11—22no—
853C2×C4×C11—22no—
854C2×C4×C11—22no—
855C2×C4×C11—22no—
856C2×C4×C11—22no—
857C2×C4×C11—22no—
858C2×C4×C11—22no—
859C2×C4×C11—22no—
860C2×C4×C11—22no—
861C2×C4×C11—22no—
862C2×C4×C11—22no—
863C2×C4×C11—44no—
864C2×C4×C11—44no—
865C2×C4×C11C2512yes—
866C2×C4×C11C2512yes—
867C2×C4×C11C2512yes—
868C2×C4×C11C2512yes—
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—
878C22⋊D11—28no—
879C22⋊D11—28no—
880C22⋊D11—44no—
881C22⋊D11—44no—
882C22⋊D11—44no—
883C22⋊D11—44no—
884C22⋊D11—44no—
885C22⋊D11—44no—
886C2×Dic11—22no—
887C2×Dic11—22no—
888C2×Dic11—22no—
889C2×Dic11—22no—
890C2×Dic11—22no—
891C2×Dic11—22no—
892C2×Dic11—22no—
893C2×Dic11—22no—
894C2×Dic11—22no—
895C2×Dic11—22no—
896C2×Dic11—28no—
897C2×Dic11—44no—
898C2×Dic11—44no—
899C2×Dic11H(5,𝔽2)14yes—
900C2×Dic11C2512yes—
901C2×Dic11C2512yes—
902C2×Dic11C2512yes—
903C2×Dic11C2512yes—
904C2×Dic11C2512yes—
905C2×Dic11C2512yes—
906C2×Dic11C2512yes—
907C2×Dic11C2512yes—
908C2×Dic11C2512yes—
909C2×Dic11C2512yes—
910C2×Dic11C2512yes—
911D44—28no—
912D44—28no—
913D44—28no—
914D44—44no—
915D44—44no—
916D44—44no—
917D44—44no—
918D44—44no—
919D44—44no—
920C4×D11—28no—
921C4×D11—28no—
922C4×D11—28no—
923C4×D11—28no—
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—28no—
938Dic22—28no—
939Dic22—28no—
940Dic22—44no—
941Dic22—44no—
942Dic22—44no—
943Dic22—44no—
944C22×#41—111no—
945C22×#41—111no—
946C22×#41—111no—
947C23×Q8—111no—
948C23×Q8—111no—
949C24×C4—111no—
950#563—1116no—
951#563C2×D11116yescomplemented
952#562—1116no—
953#562—1116no—
954#556—1116no—
955#554—1116no—
956#554—1116no—
957#554—1116no—
958#553—1116no—
959#553—1116no—
960#553—1116no—
961#552—1116no—
962D4×Q8—1116no—
963#548—1116no—
964#548—1116no—
965#547—1116no—
966#542—1116no—
967#542—1116no—
968#542—1116no—
969#541—1116no—
970#539—1116no—
971#539—1116no—
972#538—1116no—
973#538—1116no—
974#538—1116no—
975#538—1116no—
976#537—1116no—
977#536—1116no—
978C2×C4⋊Q8—111no—
979C2×C4⋊Q8—111no—
980C2×C4⋊Q8—111no—
981C2×C4⋊Q8—111no—
982C2×C4⋊Q8C2×D1111yescharacteristic, complemented
983C2×C4⋊Q8C2×D1111yescharacteristic, complemented
984C2×#126—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×#126C2×D1111yescharacteristic
995C2×#126C2×D1111yescharacteristic
996C2×#126C2×D1111yescharacteristic, complemented
997C2×#126C2×D1111yescharacteristic, complemented
998C2×#125—111no—
999C2×#125—111no—
1000C2×#125—111no—
1001C2×#125—111no—
1002C2×#125—111no—
1003C2×#125—111no—
1004C2×#125—111no—
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—
1015C2×#124—111no—
1016C2×#124—111no—
1017C2×#124C2×D1111yescharacteristic
1018#525—1116no—
1019#525—1116no—
1020C2×#123—111no—
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×#123C2×D1111yescharacteristic
1037C2×#123C2×D1111yescharacteristic
1038C2×C22⋊Q8—111no—
1039C2×C22⋊Q8—111no—
1040C2×C22⋊Q8—111no—
1041C2×C22⋊Q8—111no—
1042C2×C22⋊Q8—111no—
1043C2×C22⋊Q8—111no—
1044C2×C22⋊Q8—111no—
1045C2×C22⋊Q8—1116no—
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⋊Q8C2×D1111yescharacteristic
1067C2×C22⋊Q8C2×D1111yescharacteristic
1068C2×C22⋊Q8C2×D1111yescharacteristic, complemented
1069C2×C22⋊Q8C2×D1111yescharacteristic, complemented
1070C2×#121—111no—
1071C2×#121—111no—
1072C2×#121—111no—
1073C2×#121—111no—
1074C2×#121—111no—
1075C2×#121—111no—
1076C2×#121—111no—
1077C2×#121—111no—
1078C2×#121—111no—
1079C2×#121—111no—
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×#120—111no—
1090C2×#120—111no—
1091C2×#120—111no—
1092C2×#120—111no—
1093C2×C4×Q8—111no—
1094C2×C4×Q8—111no—
1095C2×C4×Q8—111no—
1096C2×C4×Q8—111no—
1097C2×C4×Q8—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×D4—111no—
1110C2×C4×D4—111no—
1111C2×C4×D4—111no—
1112C2×C4×D4—111no—
1113C2×C4×D4—111no—
1114C2×C4×D4—111no—
1115C2×C4×D4—111no—
1116C2×C4×D4—111no—
1117C2×#117—111no—
1118C2×#117—111no—
1119C2×#117—111no—
1120C2×#117—111no—
1121C2×#117—111no—
1122C22×C4⋊C4—111no—
1123C22×C4⋊C4—111no—
1124C22×C4⋊C4—111no—
1125C22×C4⋊C4—111no—
1126C22×C4⋊C4—111no—
1127C22×C4⋊C4—111no—
1128C22×C22⋊C4—111no—
1129C22×C22⋊C4—111no—
1130C22×C11—22no—
1131C22×C11—22no—
1132C22×C11—22no—
1133C22×C11—22no—
1134C22×C11—22no—
1135C22×C11—22no—
1136C22×C11—44no—
1137C22×C11—44no—
1138C22×C11C2×H(5,𝔽2)12yes—
1139C22×C11C2×2−1+412yes—
1140C22×C11#58512yes—
1141C22×C11C2611yescharacteristic
1142C2×D11—22no—
1143C2×D11—22no—
1144C2×D11—28no—
1145C2×D11—22no—
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—416no—
1158C2×D11—44no—
1159C2×D11—44no—
1160C2×D11—44no—
1161C2×D11—44no—
1162C2×D11C2×2−1+414yes—
1163C4×C11—22no—
1164C4×C11—22no—
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—
1176Dic11—22no—
1177Dic11—22no—
1178Dic11—22no—
1179Dic11—22no—
1180Dic11—22no—
1181Dic11—22no—
1182Dic11—22no—
1183Dic11—22no—
1184Dic11—22no—
1185Dic11—22no—
1186Dic11C2×H(5,𝔽2)14yes—
1187C25—111no—
1188C2×#41—118no—
1189C2×#41—118no—
1190C2×#41—118no—
1191C2×#41—444no—
1192C2×#41—444no—
1193C2×#41—444no—
1194C22×Q8—118no—
1195C22×Q8—118no—
1196C22×Q8—111no—
1197C22×Q8—111no—
1198C22×Q8—111no—
1199C22×Q8—111no—
1200C22×Q8—111no—
1201C22×Q8—111no—
1202C22×Q8—111no—
1203C22×Q8—444no—
1204C22×Q8—444no—
1205C22×Q8C22×D1111yescharacteristic
1206C22×Q8C22×D1111yescharacteristic
1207C22×Q8C22×D1111yescharacteristic
1208C22×D4—111no—
1209C22×D4—111no—
1210C22×D4—111no—
1211C22×D4—111no—
1212C22×D4—111no—
1213C22×D4—111no—
1214C22×D4—111no—
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—111no—
1224C22×D4—111no—
1225C22×D4C22×D1111yescharacteristic
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—111no—
1245C23×C4—111no—
1246C23×C4—118no—
1247C23×C4—444no—
1248C23×C4C22×D1111yescharacteristic
1249C23×C4C22×D1111yescharacteristic
1250C4⋊Q8—118no—
1251C4⋊Q8—118no—
1252C4⋊Q8—118no—
1253C4⋊Q8—118no—
1254C4⋊Q8C22×D1118yescomplemented
1255C4⋊Q8C22×D1118yescomplemented
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×D1118yes—
1267#126C22×D1118yes—
1268#126C22×D1118yescomplemented
1269#126C22×D1118yescomplemented
1270#125—118no—
1271#125—118no—
1272#125—118no—
1273#125—118no—
1274#125—118no—
1275#125—118no—
1276#125—118no—
1277#125C22×D1118yescomplemented
1278#125C22×D1118yescomplemented
1279#124—118no—
1280#124—118no—
1281#124—118no—
1282#124—118no—
1283#124—118no—
1284#124—118no—
1285#124—118no—
1286#124—118no—
1287#124—118no—
1288#124—118no—
1289#124C22×D1118yes—
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#123C22×D1118yes—
1307#123C22×D1118yes—
1308C22⋊Q8—118no—
1309C22⋊Q8—118no—
1310C22⋊Q8—118no—
1311C22⋊Q8—118no—
1312C22⋊Q8—118no—
1313C22⋊Q8—118no—
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⋊Q8C22×D1118yes—
1336C22⋊Q8C22×D1118yes—
1337C22⋊Q8C22×D1118yescomplemented
1338C22⋊Q8C22×D1118yescomplemented
1339#121—118no—
1340#121—118no—
1341#121—118no—
1342#121—118no—
1343#121—118no—
1344#121—118no—
1345#121—118no—
1346#121—118no—
1347#121—118no—
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×Q8—118no—
1364C4×Q8—118no—
1365C4×Q8—118no—
1366C4×Q8—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×D4—118no—
1378C4×D4—118no—
1379C4×D4—118no—
1380C4×D4—118no—
1381C4×D4—118no—
1382C4×D4—118no—
1383C4×D4—118no—
1384C4×D4—118no—
1385C4×D4—118no—
1386#117—118no—
1387#117—118no—
1388#117—118no—
1389#117—118no—
1390#117—118no—
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—111no—
1401C2×C4⋊C4—111no—
1402C2×C4⋊C4—111no—
1403C2×C4⋊C4—111no—
1404C2×C4⋊C4—111no—
1405C2×C4⋊C4—111no—
1406C2×C4⋊C4—118no—
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—111no—
1422C2×C4⋊C4—111no—
1423C2×C4⋊C4—111no—
1424C2×C4⋊C4—118no—
1425C2×C4⋊C4—118no—
1426C2×C4⋊C4—118no—
1427C2×C4⋊C4—118no—
1428C2×C4⋊C4—118no—
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×D1111yescharacteristic
1442C2×C4⋊C4C22×D1111yescharacteristic
1443C2×C4⋊C4C22×D1111yescharacteristic
1444C2×C4⋊C4C22×D1111yescharacteristic
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—111no—
1462C2×C22⋊C4—111no—
1463C2×C22⋊C4—111no—
1464C2×C22⋊C4—111no—
1465C2×C22⋊C4—111no—
1466C2×C22⋊C4—111no—
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—118no—
1480C2×C22⋊C4—118no—
1481C2×C22⋊C4C22×D1111yescharacteristic
1482C2×C22⋊C4C22×D1111yescharacteristic
1483C2×C22⋊C4C22×D1111yescharacteristic
1484C2×C22⋊C4C22×D1111yescharacteristic
1485C2×C22⋊C4C22×D1111yescharacteristic
1486C2×C22⋊C4C22×D1111yescharacteristic
1487C2×C22⋊C4C22×D1111yescharacteristic
1488C2×C22⋊C4C22×D1111yescharacteristic
1489C2×C22⋊C4C22×D1111yescharacteristic
1490C2×C22⋊C4C22×D1111yescharacteristic
1491C2×C42—111no—
1492C2×C42—111no—
1493C2×C42—111no—
1494C2×C42—111no—
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×C11—42no—
1504C2×C11—42no—
1505C2×C11#354114yescomplemented
1506C2×C11C22×H(5,𝔽2)11yescharacteristic
1507C2×C11C22×2−1+411yescharacteristic
1508C2×C11C2×#58511yescharacteristic
1509D11—24no—
1510D11—42no—
1511D11—42no—
1512D11—42no—
1513D11—42no—
1514C24—111no—
1515C24—111no—
1516C24—111no—
1517C24—111no—
1518C24—111no—
1519C24—114no—
1520C24—224no—
1521C24—442no—
1522C24—442no—
1523C24C23×D1111yescharacteristic
1524C24C23×D1111yescharacteristic
1525#41—4416no—
1526#41—4416no—
1527#41—4416no—
1528C2×Q8—42no—
1529C2×Q8—42no—
1530C2×Q8—42no—
1531C2×Q8—114no—
1532C2×Q8—114no—
1533C2×Q8—114no—
1534C2×Q8—114no—
1535C2×Q8—114no—
1536C2×Q8—114no—
1537C2×Q8—114no—
1538C2×Q8—224no—
1539C2×Q8—224no—
1540C2×Q8—224no—
1541C2×Q8—442no—
1542C2×Q8—442no—
1543C2×Q8—442no—
1544C2×Q8—442no—
1545C2×Q8—4416no—
1546C2×Q8—4416no—
1547C2×Q8C23×D1114yes—
1548C2×Q8C23×D1114yes—
1549C2×Q8C23×D1114yes—
1550C2×D4—42no—
1551C2×D4—114no—
1552C2×D4—114no—
1553C2×D4—114no—
1554C2×D4—114no—
1555C2×D4—114no—
1556C2×D4—114no—
1557C2×D4—114no—
1558C2×D4—114no—
1559C2×D4—114no—
1560C2×D4—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—442no—
1583C2×D4—442no—
1584C2×D4—442no—
1585C2×D4C23×D1114yes—
1586C22×C4—42no—
1587C22×C4—42no—
1588C22×C4—111no—
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—114no—
1601C22×C4—114no—
1602C22×C4—114no—
1603C22×C4—114no—
1604C22×C4—114no—
1605C22×C4—114no—
1606C22×C4—114no—
1607C22×C4—114no—
1608C22×C4—114no—
1609C22×C4—114no—
1610C22×C4—114no—
1611C22×C4—114no—
1612C22×C4—114no—
1613C22×C4—114no—
1614C22×C4—114no—
1615C22×C4—114no—
1616C22×C4—114no—
1617C22×C4—114no—
1618C22×C4—114no—
1619C22×C4—224no—
1620C22×C4—224no—
1621C22×C4—224no—
1622C22×C4—224no—
1623C22×C4—224no—
1624C22×C4—442no—
1625C22×C4—442no—
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—4416no—
1638C22×C4—442no—
1639C22×C4—442no—
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⋊C4C23×D1114yes—
1688C4⋊C4C23×D1114yes—
1689C4⋊C4C23×D1114yes—
1690C4⋊C4C23×D1114yes—
1691C4⋊C4C23×D1114yes—
1692C4⋊C4C23×D1114yes—
1693C4⋊C4C23×D1114yes—
1694C4⋊C4C23×D1114yes—
1695C4⋊C4C23×D1114yes—
1696C4⋊C4C23×D1114yes—
1697C4⋊C4C23×D1114yes—
1698C4⋊C4C23×D1114yes—
1699C4⋊C4C23×D1114yes—
1700C4⋊C4C23×D1114yes—
1701C4⋊C4C23×D1114yes—
1702C4⋊C4C23×D1114yes—
1703C22⋊C4—114no—
1704C22⋊C4—114no—
1705C22⋊C4—114no—
1706C22⋊C4—114no—
1707C22⋊C4—114no—
1708C22⋊C4—114no—
1709C22⋊C4—114no—
1710C22⋊C4—114no—
1711C22⋊C4—114no—
1712C22⋊C4—114no—
1713C22⋊C4—114no—
1714C22⋊C4—114no—
1715C22⋊C4—114no—
1716C22⋊C4—114no—
1717C22⋊C4—114no—
1718C22⋊C4—114no—
1719C22⋊C4—114no—
1720C22⋊C4—114no—
1721C22⋊C4—114no—
1722C22⋊C4—114no—
1723C22⋊C4—114no—
1724C22⋊C4—114no—
1725C22⋊C4—114no—
1726C22⋊C4—114no—
1727C22⋊C4—114no—
1728C22⋊C4—114no—
1729C22⋊C4—114no—
1730C22⋊C4—114no—
1731C22⋊C4—114no—
1732C22⋊C4—114no—
1733C22⋊C4—114no—
1734C22⋊C4—114no—
1735C22⋊C4—114no—
1736C22⋊C4—114no—
1737C22⋊C4C23×D1114yes—
1738C22⋊C4C23×D1114yes—
1739C22⋊C4C23×D1114yes—
1740C22⋊C4C23×D1114yes—
1741C22⋊C4C23×D1114yes—
1742C22⋊C4C23×D1114yes—
1743C22⋊C4C23×D1114yes—
1744C22⋊C4C23×D1114yes—
1745C22⋊C4C23×D1114yes—
1746C22⋊C4C23×D1114yes—
1747C42—114no—
1748C42—114no—
1749C42—114no—
1750C42—114no—
1751C42—114no—
1752C42—114no—
1753C42—114no—
1754C42—114no—
1755C42—114no—
1756C42C23×D1114yes—
1757C42C23×D1114yes—
1758C42C23×D1114yes—
1759C11C2×#354111yescharacteristic, complemented, Sylow
1760C23—22no—
1761C23—22no—
1762C23—22no—
1763C23—22no—
1764C23—22no—
1765C23—22no—
1766C23—114no—
1767C23—112no—
1768C23—112no—
1769C23—112no—
1770C23—112no—
1771C23—112no—
1772C23—228no—
1773C23—222no—
1774C23—222no—
1775C23—222no—
1776C23—222no—
1777C23—222no—
1778C23—222no—
1779C23—222no—
1780C23—222no—
1781C23—222no—
1782C23—222no—
1783C23—222no—
1784C23—222no—
1785C23—222no—
1786C23—222no—
1787C23—444no—
1788C23—444no—
1789C23—4416no—
1790C23C24×D1112yes—
1791C23C24×D1112yes—
1792C23C24×D1111yescharacteristic
1793Q8—44no—
1794Q8—44no—
1795Q8—44no—
1796Q8—228no—
1797Q8—228no—
1798Q8—228no—
1799Q8—444no—
1800Q8—444no—
1801Q8—444no—
1802Q8—444no—
1803D4—44no—
1804D4—228no—
1805D4—228no—
1806D4—228no—
1807D4—228no—
1808D4—228no—
1809D4—444no—
1810D4—444no—
1811D4—444no—
1812D4—444no—
1813D4—444no—
1814D4—444no—
1815D4—444no—
1816D4—444no—
1817D4—444no—
1818D4—444no—
1819D4—444no—
1820D4—444no—
1821C2×C4—22no—
1822C2×C4—22no—
1823C2×C4—22no—
1824C2×C4—22no—
1825C2×C4—22no—
1826C2×C4—22no—
1827C2×C4—22no—
1828C2×C4—22no—
1829C2×C4—22no—
1830C2×C4—22no—
1831C2×C4—22no—
1832C2×C4—22no—
1833C2×C4—22no—
1834C2×C4—44no—
1835C2×C4—44no—
1836C2×C4—114no—
1837C2×C4—112no—
1838C2×C4—112no—
1839C2×C4—112no—
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—228no—
1849C2×C4—228no—
1850C2×C4—228no—
1851C2×C4—228no—
1852C2×C4—228no—
1853C2×C4—222no—
1854C2×C4—222no—
1855C2×C4—222no—
1856C2×C4—222no—
1857C2×C4—222no—
1858C2×C4—222no—
1859C2×C4—222no—
1860C2×C4—222no—
1861C2×C4—222no—
1862C2×C4—222no—
1863C2×C4—444no—
1864C2×C4—444no—
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×C4C24×D1112yes—
1879C2×C4C24×D1112yes—
1880C2×C4C24×D1112yes—
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—
1891C22—22no—
1892C22—22no—
1893C22—22no—
1894C22—22no—
1895C22—22no—
1896C22—22no—
1897C22—44no—
1898C22—44no—
1899C22—114no—
1900C22—222no—
1901C22—228no—
1902C22—222no—
1903C22—222no—
1904C22—222no—
1905C22—222no—
1906C22—222no—
1907C22—222no—
1908C22—222no—
1909C22—222no—
1910C22—222no—
1911C22—222no—
1912C22—222no—
1913C22—222no—
1914C22—222no—
1915C22—4416no—
1916C22—444no—
1917C22—444no—
1918C22—444no—
1919C22—444no—
1920C22D11×H(5,𝔽2)12yes—
1921C22D11×2−1+412yes—
1922C22#1062345712yes—
1923C22C25×D1111yescharacteristic
1924C4—22no—
1925C4—22no—
1926C4—22no—
1927C4—22no—
1928C4—22no—
1929C4—22no—
1930C4—22no—
1931C4—22no—
1932C4—22no—
1933C4—22no—
1934C4—22no—
1935C4—22no—
1936C4—22no—
1937C4—114no—
1938C4—222no—
1939C4—222no—
1940C4—222no—
1941C4—222no—
1942C4—222no—
1943C4—222no—
1944C4—222no—
1945C4—222no—
1946C4—222no—
1947C4—222no—
1948C2—42no—
1949C2—42no—
1950C2—224no—
1951C2—442no—
1952C2—442no—
1953C2—442no—
1954C2—442no—
1955C2#1308290614yesdirect product factor
1956C2C2×D11×H(5,𝔽2)11yescharacteristic
1957C2C2×D11×2−1+411yescharacteristic
1958C2C2×#1062345711yescharacteristic
subgroupG/H
centerC23C24×D11
commutator, cosocleC22×C11C26
FrattiniC22C25×D11
FittingC2×C11×#563C2
socleC23×C11C25
hypercenterC2×#563D11
hypocenterC11C2×#3541
LCSG ▷ C22×C11 ▷ C11
UCSC1 ◁ C23 ◁ C2×#563

Complements

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

NH ≅ G/Ntype
1. #13082906C2direct (N × H)
2. C2×#10623177C2semidirect
3. C2×#10623198C2semidirect
4. C2×#10623178C2semidirect
5. C2×#10623233C2semidirect
6. C2×#10623261C2semidirect
7. C2×#10623221C2semidirect
8. C2×#10623167C2semidirect
9. C2×#10623226C2semidirect
10. C2×#10623240C2semidirect
11. C2×#10623240C2semidirect
12. C2×#10623239C2semidirect
13. C2×#10623258C2semidirect
14. C2×#10623164C2semidirect
15. C2×#10623208C2semidirect
16. C2×#10623186C2semidirect
17. C2×#10623264C2semidirect
18. C2×#10623241C2semidirect
19. C2×#10623241C2semidirect
20. C2×#10623227C2semidirect
21. C2×#10623176C2semidirect
22. C2×#10623223C2semidirect
23. C2×#10623235C2semidirect
24. C2×#10623235C2semidirect
25. C2×#10623188C2semidirect
26. C2×#10623209C2semidirect
27. C2×#10623160C2semidirect
28. C2×#10623255C2semidirect
29. C2×#10623158C2semidirect
30. C2×#10623187C2semidirect
31. C2×D11×C22⋊Q8C2semidirect
32. C2×C11×#563C2semidirect
35. C22×Q8×D11C22semidirect
37. C22×#4339C22semidirect
39. C11×#563C22semidirect
40. C2×C11×C4⋊Q8C22semidirect
41. C2×C11×C4⋊Q8C22semidirect
44. C2×C11×#126C22semidirect
45. C2×C11×#126C22semidirect
46. C2×C11×#125C22semidirect
47. C2×C11×#125C22semidirect
53. C2×C11×C22⋊Q8C22semidirect
54. C2×C11×C22⋊Q8C22semidirect
56. C2×#67000C22semidirect
60. C2×#66999C22semidirect
61. C2×#66999C22semidirect
62. C2×#66999C22semidirect
63. C2×#66997C22semidirect
72. C22×Dic11⋊C4C22semidirect
73. #10623264C22semidirect
74. #10623261C22semidirect
75. #10623258C22semidirect
76. #10623255C22semidirect
77. #10623241C22semidirect
78. #10623241C22semidirect
79. #10623240C22semidirect
80. #10623240C22semidirect
81. #10623239C22semidirect
82. #10623235C22semidirect
83. #10623235C22semidirect
84. #10623233C22semidirect
85. #10623227C22semidirect
86. #10623226C22semidirect
87. #10623223C22semidirect
88. #10623221C22semidirect
89. #10623209C22semidirect
90. #10623208C22semidirect
91. #10623198C22semidirect
92. #10623188C22semidirect
93. #10623187C22semidirect
94. #10623186C22semidirect
95. #10623178C22semidirect
96. #10623177C22semidirect
97. #10623176C22semidirect
98. #10623167C22semidirect
99. #10623164C22semidirect
100. #10623160C22semidirect
101. #10623158C22semidirect
102. D11×C22⋊Q8C22semidirect
106. C2×#66951C22semidirect
107. C2×#66951C22semidirect
108. C2×#66951C22semidirect
109. C2×#66951C22semidirect
112. C2×#66950C22semidirect
113. C2×#66950C22semidirect
120. C2×#66949C22semidirect
121. C2×#66949C22semidirect
122. C2×#66949C22semidirect
123. C2×#66949C22semidirect
124. C2×#66949C22semidirect
125. C2×#66949C22semidirect
131. C2×#66948C22semidirect
137. C2×#66947C22semidirect
138. C2×#66947C22semidirect
139. C2×#66947C22semidirect
140. C2×#66947C22semidirect
149. C2×#66945C22semidirect
153. C2×C4⋊C4×D11C22semidirect
154. C2×C4⋊C4×D11C22semidirect
155. C2×#66943C22semidirect
156. C2×#66943C22semidirect
157. C2×#66943C22semidirect
158. C2×#66942C22semidirect
159. C2×#66942C22semidirect
160. C2×#66942C22semidirect
161. C2×#66942C22semidirect
162. C2×#66941C22semidirect
163. C2×#66941C22semidirect
164. C2×#66941C22semidirect
165. C2×#66940C22semidirect
166. C2×#66940C22semidirect
168. C2×#66939C22semidirect
169. C2×#66939C22semidirect
174. C2×#66938C22semidirect
175. C2×#66938C22semidirect
183. C2×#66937C22semidirect
184. C2×#66937C22semidirect
196. C2×(C22⋊D11)⋊C4C22semidirect
197. C2×(C22⋊D11)⋊C4C22semidirect
204. C2×#66931C22semidirect
205. C2×#66931C22semidirect
213. C2×C4×D44C22semidirect
214. C2×#66925C22semidirect
215. C2×#66925C22semidirect
216. C2×C4×Dic22C22semidirect
217. C2×C4×Dic22C22semidirect
218. C2×C4×Dic22C22semidirect
242. C2×Q8×D11C23semidirect
246. C2×#4339C23semidirect
282. C11×C4⋊Q8C23semidirect
283. C11×C4⋊Q8C23semidirect
286. C11×#126C23semidirect
287. C11×#126C23semidirect
288. C11×#125C23semidirect
289. C11×#125C23semidirect
295. C11×C22⋊Q8C23semidirect
296. C11×C22⋊Q8C23semidirect
331. #67000C23semidirect
335. #66999C23semidirect
336. #66999C23semidirect
337. #66999C23semidirect
338. #66997C23semidirect
409. C2×Dic11⋊C4C23semidirect
422. #66951C23semidirect
423. #66951C23semidirect
424. #66951C23semidirect
425. #66951C23semidirect
428. #66950C23semidirect
429. #66950C23semidirect
436. #66949C23semidirect
437. #66949C23semidirect
438. #66949C23semidirect
439. #66949C23semidirect
440. #66949C23semidirect
441. #66949C23semidirect
447. #66948C23semidirect
453. #66947C23semidirect
454. #66947C23semidirect
455. #66947C23semidirect
456. #66947C23semidirect
465. #66945C23semidirect
469. C4⋊C4×D11C23semidirect
470. C4⋊C4×D11C23semidirect
471. #66943C23semidirect
472. #66943C23semidirect
473. #66943C23semidirect
474. #66942C23semidirect
475. #66942C23semidirect
476. #66942C23semidirect
477. #66942C23semidirect
478. #66941C23semidirect
479. #66941C23semidirect
480. #66941C23semidirect
481. #66940C23semidirect
482. #66940C23semidirect
484. #66939C23semidirect
485. #66939C23semidirect
490. #66938C23semidirect
491. #66938C23semidirect
499. #66937C23semidirect
500. #66937C23semidirect
512. (C22⋊D11)⋊C4C23semidirect
513. (C22⋊D11)⋊C4C23semidirect
520. #66931C23semidirect
521. #66931C23semidirect
529. C4×D44C23semidirect
530. #66925C23semidirect
531. #66925C23semidirect
532. C4×Dic22C23semidirect
533. C4×Dic22C23semidirect
534. C4×Dic22C23semidirect
783. C2×#563D11semidirect
951. #563C2×D11semidirect
982. C2×C4⋊Q8C2×D11semidirect
983. C2×C4⋊Q8C2×D11semidirect
996. C2×#126C2×D11semidirect
997. C2×#126C2×D11semidirect
1005. C2×#125C2×D11semidirect
1006. C2×#125C2×D11semidirect
1068. C2×C22⋊Q8C2×D11semidirect
1069. C2×C22⋊Q8C2×D11semidirect
1254. C4⋊Q8C22×D11semidirect
1255. C4⋊Q8C22×D11semidirect
1268. #126C22×D11semidirect
1269. #126C22×D11semidirect
1277. #125C22×D11semidirect
1278. #125C22×D11semidirect
1337. C22⋊Q8C22×D11semidirect
1338. C22⋊Q8C22×D11semidirect
1505. C2×C11#3541semidirect
1759. C11C2×#3541semidirect
1955. C2#13082906direct (N × H)

Maximal subgroups

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

subgroupindex
#130829062
C2×#106231772
C2×#106231982
C2×#106231782
C2×#106232332
C2×#106232612
C2×#106232212
C2×#106231672
C2×#106232262
C2×#106232402
C2×#106232392
C2×#106232582
C2×#106231642
C2×#106232082
C2×#106231862
C2×#106232642
C2×#106232412
C2×#106232272
C2×#106231762
C2×#106232232
C2×#106232352
C2×#106231882
C2×#106232092
C2×#106231602
C2×#106232552
C2×#106231582
C2×#106231872
C2×D11×C22⋊Q82
C2×C11×#5632
C2×#354111