Finite Group Databasebeta

← C2×#13083270 #15661311

Subgroups — C2×#13083270 #15661311

Order 2816.

6694 conjugacy classes of subgroups.

The subgroup lattice has 1904 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#13083270C2132yesmaximal, direct product factor
2C2×#10623266C211yesmaximal, characteristic, complemented
3C2×#10623152C211yesmaximal, characteristic, complemented
4C2×#10623215C211yesmaximal, characteristic, complemented
5C2×#10623151C211yesmaximal, characteristic, complemented
6C2×#10623212C211yesmaximal, characteristic, complemented
7C2×#10623202C211yesmaximal, characteristic, complemented
8C2×#10623071C211yesmaximal, characteristic, complemented
9C2×#10623132C211yesmaximal, characteristic, complemented
10C2×#10623132C211yesmaximal, characteristic, complemented
11C2×#10623062C211yesmaximal, characteristic, complemented
12C2×#10623062C211yesmaximal, characteristic, complemented
13C2×#10623062C211yesmaximal, characteristic, complemented
14C2×#10623210C211yesmaximal, characteristic, complemented
15C2×#10623087C211yesmaximal, characteristic, complemented
16C2×#10623058C211yesmaximal, characteristic, complemented
17C2×#10623065C211yesmaximal, characteristic, complemented
18C2×#10623213C211yesmaximal, characteristic, complemented
19C2×#10623200C211yesmaximal, characteristic, complemented
20C2×#10623049C211yesmaximal, characteristic, complemented
21C2×#10623262C211yesmaximal, characteristic, complemented
22C2×#10623146C211yesmaximal, characteristic, complemented
23C2×#10623133C211yesmaximal, characteristic, complemented
24C2×#10623095C211yesmaximal, characteristic, complemented
25C2×#10623095C211yesmaximal, characteristic, complemented
26C2×#10623148C211yesmaximal, characteristic, complemented
27C2×#10623209C211yesmaximal, characteristic, complemented
28C2×#10623144C211yesmaximal, characteristic, complemented
29C2×#10623211C211yesmaximal, characteristic, complemented
30C2×#10623059C211yesmaximal, characteristic, complemented
31C2×#10623059C211yesmaximal, characteristic, complemented
32C2×C11×#555C211yesmaximal, characteristic, complemented
33C11×#555C22116yescomplemented
34C2×C11×C4⋊Q8C2211yescharacteristic, complemented
35C2×C11×#124C2211yescharacteristic
36C2×C11×#124C2211yescharacteristic
37C2×C11×#124C2211yescharacteristic, complemented
38C2×C11×#124C2211yescharacteristic, complemented
39C2×C11×#121C2211yescharacteristic
40C2×C11×#121C2211yescharacteristic
41C2×C11×#121C2211yescharacteristic
42C2×C11×#121C2211yescharacteristic, complemented
43C2×C4×D4×C11C2211yescharacteristic
44C2×C4×D4×C11C2211yescharacteristic, complemented
45C2×C11×#117C2211yescharacteristic
46C2×C11×#117C2211yescharacteristic, complemented
47C2×C11×#117C2211yescharacteristic, complemented
48C2×C11×#117C2211yescharacteristic, complemented
49C2×#67000C2211yescharacteristic
50C2×#66999C2211yescharacteristic
51C2×#66999C2211yescharacteristic
52C2×#66999C2211yescharacteristic
53C2×#66999C2211yescharacteristic, complemented
54C2×Q8×Dic11C2211yescharacteristic, complemented
55C2×Q8×Dic11C2211yescharacteristic, complemented
56C2×#66997C2211yescharacteristic, complemented
57C2×#66993C2211yescharacteristic
58C2×#66992C2211yescharacteristic
59C2×#66992C2211yescharacteristic
60C2×#66992C2211yescharacteristic
61C2×#66992C2211yescharacteristic
62C2×#66992C2211yescharacteristic
63C2×#66992C2211yescharacteristic
64C2×#66992C2211yescharacteristic, complemented
65C2×#66992C2211yescharacteristic, complemented
66C2×#66991C2211yescharacteristic
67C2×#66991C2211yescharacteristic
68C2×#66990C2211yescharacteristic
69C2×#66990C2211yescharacteristic
70C2×#66990C2211yescharacteristic
71C2×#66989C2211yescharacteristic
72C2×#66988C2211yescharacteristic
73C2×#66988C2211yescharacteristic
74C2×#66988C2211yescharacteristic
75C2×#66988C2211yescharacteristic, complemented
76C2×#66988C2211yescharacteristic, complemented
77C2×D4×Dic11C2211yescharacteristic
78C2×D4×Dic11C2211yescharacteristic
79C2×D4×Dic11C2211yescharacteristic, complemented
80C2×D4×Dic11C2211yescharacteristic, complemented
81C2×#66983C2211yescharacteristic
82C2×#66982C2211yescharacteristic
83C2×#66982C2211yescharacteristic
84C2×#66982C2211yescharacteristic
85C2×#66982C2211yescharacteristic
86C2×C4×C22⋊D11C2211yescharacteristic
87C2×C4×C22⋊D11C2211yescharacteristic
88C2×C4×C22⋊D11C2211yescharacteristic, complemented
89C2×C4×C22⋊D11C2211yescharacteristic, complemented
90C22×(C2×D11)⋊C4C2211yescharacteristic
91C2×#66977C2211yescharacteristic
92C2×#66977C2211yescharacteristic
93C2×#66977C2211yescharacteristic, complemented
94C22×Dic11⋊C4C2211yescharacteristic, complemented
95C22×Dic11⋊C4C2211yescharacteristic, complemented
96C22×Dic11⋊C4C2211yescharacteristic, complemented
97#10623266C22116yescomplemented
98#10623262C22116yescomplemented
99#10623215C22116yescomplemented
100#10623213C22116yescomplemented
101#10623212C22116yescomplemented
102#10623211C22116yescomplemented
103#10623210C22116yescomplemented
104#10623209C22116yescomplemented
105#10623202C22116yescomplemented
106#10623200C22116yescomplemented
107#10623152C22116yescomplemented
108#10623151C22116yescomplemented
109#10623148C22116yescomplemented
110#10623146C22116yescomplemented
111#10623144C22116yescomplemented
112#10623133C22116yescomplemented
113#10623132C22116yescomplemented
114#10623132C22116yescomplemented
115#10623095C22116yescomplemented
116#10623095C22116yescomplemented
117#10623087C22116yescomplemented
118#10623071C22116yescomplemented
119#10623065C22116yescomplemented
120#10623062C22116yescomplemented
121#10623062C22116yescomplemented
122#10623062C22116yescomplemented
123#10623059C22116yescomplemented
124#10623059C22116yescomplemented
125#10623058C22116yescomplemented
126#10623049C22116yescomplemented
127C2×#66951C2211yescharacteristic
128C2×#66951C2211yescharacteristic
129C2×#66951C2211yescharacteristic
130C2×#66951C2211yescharacteristic
131C2×#66951C2211yescharacteristic
132C2×#66951C2211yescharacteristic
133C2×#66951C2211yescharacteristic, complemented
134C2×#66949C2211yescharacteristic
135C2×#66949C2211yescharacteristic
136C2×#66949C2211yescharacteristic
137C2×#66949C2211yescharacteristic, complemented
138C2×#66949C2211yescharacteristic, complemented
139C2×#66947C2211yescharacteristic
140C2×#66947C2211yescharacteristic
141C2×#66947C2211yescharacteristic
142C2×#66942C2211yescharacteristic, complemented
143C2×#66942C2211yescharacteristic, complemented
144C2×#66942C2211yescharacteristic, complemented
145C2×#66942C2211yescharacteristic, complemented
146C2×#66942C2211yescharacteristic, complemented
147C2×#66942C2211yescharacteristic, complemented
148C2×#66942C2211yescharacteristic, complemented
149C2×#66942C2211yescharacteristic, complemented
150C2×#66942C2211yescharacteristic, complemented
151C2×#66939C2211yescharacteristic
152C2×#66939C2211yescharacteristic
153C2×#66939C2211yescharacteristic
154C2×#66939C2211yescharacteristic
155C2×#66939C2211yescharacteristic, complemented
156C2×#66938C2211yescharacteristic
157C2×#66938C2211yescharacteristic
158C2×#66938C2211yescharacteristic
159C2×#66938C2211yescharacteristic
160C2×#66938C2211yescharacteristic, complemented
161C2×#66937C2211yescharacteristic
162C2×#66937C2211yescharacteristic
163C2×#66937C2211yescharacteristic
164C2×#66936C2211yescharacteristic
165C2×#66936C2211yescharacteristic
166C2×#66936C2211yescharacteristic
167C2×#66936C2211yescharacteristic
168C2×#66936C2211yescharacteristic, complemented
169C2×#66936C2211yescharacteristic, complemented
170C2×#66936C2211yescharacteristic, complemented
171C2×#66935C2211yescharacteristic
172C2×(C22⋊D11)⋊C4C2211yescharacteristic
173C2×(C22⋊D11)⋊C4C2211yescharacteristic
174C2×(C22⋊D11)⋊C4C2211yescharacteristic
175C2×(C22⋊D11)⋊C4C2211yescharacteristic
176C2×(C22⋊D11)⋊C4C2211yescharacteristic
177C2×(C22⋊D11)⋊C4C2211yescharacteristic, complemented
178C2×C22⋊C4×D11C2211yescharacteristic
179C2×C22⋊C4×D11C2211yescharacteristic
180C2×#66932C2211yescharacteristic
181C2×#66932C2211yescharacteristic
182C2×#66932C2211yescharacteristic
183C2×#66932C2211yescharacteristic
184C2×#66932C2211yescharacteristic
185C2×#66932C2211yescharacteristic, complemented
186C2×#66932C2211yescharacteristic, complemented
187C2×#66932C2211yescharacteristic, complemented
188C2×#66932C2211yescharacteristic, complemented
189C2×#66931C2211yescharacteristic
190C2×#66931C2211yescharacteristic, complemented
191C2×#66931C2211yescharacteristic, complemented
192C2×#66931C2211yescharacteristic, complemented
193C2×#66931C2211yescharacteristic, complemented
194C2×#66931C2211yescharacteristic, complemented
195C2×#66930C2211yescharacteristic
196C2×#66930C2211yescharacteristic, complemented
197C2×#66930C2211yescharacteristic, complemented
198C2×#66930C2211yescharacteristic, complemented
199C2×#66929C2211yescharacteristic
200C2×#66929C2211yescharacteristic
201C2×#66929C2211yescharacteristic
202C2×#66929C2211yescharacteristic, complemented
203C2×#66928C2211yescharacteristic
204C2×C4×D44C2211yescharacteristic
205C2×C4×D44C2211yescharacteristic
206C2×#66925C2211yescharacteristic
207C2×#66925C2211yescharacteristic
208C2×#66925C2211yescharacteristic
209C2×#66925C2211yescharacteristic
210C2×C42×D11C2211yescharacteristic, complemented
211C2×#66923C2211yescharacteristic, complemented
212C2×#66923C2211yescharacteristic, complemented
213C2×#66923C2211yescharacteristic, complemented
214C2×#66922C2211yescharacteristic, complemented
215C2×C4×Dic22C2211yescharacteristic, complemented
216C2×C4×Dic22C2211yescharacteristic, complemented
217C2×C4×Dic22C2211yescharacteristic, complemented
218C2×C4×Dic22C2211yescharacteristic, complemented
219C24×D11C2311yescharacteristic
220C22×Q8×C11C2311yescharacteristic
221C22×Q8×C11C2311yescharacteristic
222C22×D4×C11C2311yescharacteristic
223C22×D4×C11C2311yescharacteristic
224C22×D4×C11C2311yescharacteristic
225C22×D4×C11C2311yescharacteristic
226C22×D4×C11C2311yescharacteristic
227C22×D4×C11C2311yescharacteristic
228C23×C4×C11C2311yescharacteristic
229C23×C4×C11C2311yescharacteristic
230C23×C4×C11C2311yescharacteristic
231C23×C4×C11C2311yescharacteristic
232C22×C22⋊D11C2311yescharacteristic
233C22×C22⋊D11C2311yescharacteristic
234C22×C22⋊D11C2311yescharacteristic
235C22×C22⋊D11C2311yescharacteristic
236C22×C22⋊D11C2311yescharacteristic
237C22×C22⋊D11C2311yescharacteristic
238C22×C22⋊D11C2311yescharacteristic
239C22×C22⋊D11C2311yescharacteristic
240C22×C22⋊D11C2311yescharacteristic
241C22×C22⋊D11C2311yescharacteristic
242C23×Dic11C2311yescharacteristic
243C23×Dic11C2311yescharacteristic
244C23×Dic11C2311yescharacteristic
245C23×Dic11C2311yescharacteristic
246C23×Dic11C2311yescharacteristic
247C23×Dic11C2311yescharacteristic
248C23×Dic11C2311yescharacteristic
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×Dic22C2311yescharacteristic
259C22×Dic22C2311yescharacteristic
260C22×Dic22C2311yescharacteristic
261C22×Dic22C2311yescharacteristic
262C11×C4⋊Q8C2318yescomplemented
263C11×#124C2318yes—
264C11×#124C2318yes—
265C11×#124C2318yescomplemented
266C11×#124C2318yescomplemented
267C11×#121C2318yes—
268C11×#121C2318yes—
269C11×#121C2318yes—
270C11×#121C2318yescomplemented
271C4×D4×C11C2318yes—
272C4×D4×C11C2318yescomplemented
273C11×#117C2318yes—
274C11×#117C2318yescomplemented
275C11×#117C2318yescomplemented
276C11×#117C2318yescomplemented
277C2×C11×C4⋊C4C2311yescharacteristic
278C2×C11×C4⋊C4C2311yescharacteristic
279C2×C11×C4⋊C4C2311yescharacteristic
280C2×C11×C4⋊C4C2311yescharacteristic
281C2×C11×C4⋊C4C2311yescharacteristic
282C2×C11×C4⋊C4C2311yescharacteristic
283C2×C11×C22⋊C4C2311yescharacteristic
284C2×C11×C22⋊C4C2311yescharacteristic
285C2×C11×C22⋊C4C2311yescharacteristic
286C2×C11×C22⋊C4C2311yescharacteristic
287C2×C11×C22⋊C4C2311yescharacteristic
288C2×C11×C22⋊C4C2311yescharacteristic
289C2×C11×C22⋊C4C2311yescharacteristic
290C2×C11×C22⋊C4C2311yescharacteristic
291C2×C11×C22⋊C4C2311yescharacteristic
292C2×C11×C22⋊C4C2311yescharacteristic
293C2×C11×C22⋊C4C2311yescharacteristic
294C2×C11×C22⋊C4C2311yescharacteristic
295C2×C42×C11C2311yescharacteristic
296C2×C42×C11C2311yescharacteristic
297C2×C42×C11C2311yescharacteristic
298C2×C42×C11C2311yescharacteristic
299C2×C42×C11C2311yescharacteristic
300C2×C22⋊Dic11C2311yescharacteristic
301C2×C22⋊Dic11C2311yescharacteristic
302C2×C22⋊Dic11C2311yescharacteristic
303C2×C22⋊Dic11C2311yescharacteristic
304C2×C22⋊Dic11C2311yescharacteristic
305C2×C22⋊Dic11C2311yescharacteristic
306C2×C22⋊Dic11C2311yescharacteristic
307C2×C22⋊Dic11C2311yescharacteristic
308C2×C22⋊Dic11C2311yescharacteristic
309C2×C22⋊Dic11C2311yescharacteristic
310C2×C22⋊Dic11C2311yescharacteristic
311C2×C22⋊Dic11C2311yescharacteristic
312C2×C22⋊Dic11C2311yescharacteristic
313C2×C22⋊Dic11C2311yescharacteristic
314#67000C2318yes—
315#66999C2318yes—
316#66999C2318yes—
317#66999C2318yes—
318#66999C2318yescomplemented
319Q8×Dic11C2318yescomplemented
320Q8×Dic11C2318yescomplemented
321#66997C2318yescomplemented
322#66993C2318yes—
323#66992C2318yes—
324#66992C2318yes—
325#66992C2318yes—
326#66992C2318yes—
327#66992C2318yes—
328#66992C2318yes—
329#66992C2318yescomplemented
330#66992C2318yescomplemented
331#66991C2318yes—
332#66991C2318yes—
333#66990C2318yes—
334#66990C2318yes—
335#66990C2318yes—
336#66989C2318yes—
337#66988C2318yes—
338#66988C2318yes—
339#66988C2318yes—
340#66988C2318yescomplemented
341#66988C2318yescomplemented
342D4×Dic11C2318yes—
343D4×Dic11C2318yes—
344D4×Dic11C2318yescomplemented
345D4×Dic11C2318yescomplemented
346#66983C2318yes—
347#66982C2318yes—
348#66982C2318yes—
349#66982C2318yes—
350#66982C2318yes—
351C4×C22⋊D11C2318yes—
352C4×C22⋊D11C2318yes—
353C4×C22⋊D11C2318yescomplemented
354C4×C22⋊D11C2318yescomplemented
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×(C2×D11)⋊C4C2311yescharacteristic
377C2×(C2×D11)⋊C4C2318yes—
378C2×C4⋊Dic11C2311yescharacteristic
379C2×C4⋊Dic11C2311yescharacteristic
380C2×C4⋊Dic11C2311yescharacteristic
381C2×C4⋊Dic11C2311yescharacteristic
382C2×C4⋊Dic11C2311yescharacteristic
383C2×C4⋊Dic11C2311yescharacteristic
384C2×C4⋊Dic11C2311yescharacteristic
385C2×C4⋊Dic11C2311yescharacteristic
386C2×C4⋊Dic11C2311yescharacteristic
387C2×C4⋊Dic11C2311yescharacteristic
388C2×C4⋊Dic11C2311yescharacteristic
389C2×C4⋊Dic11C2311yescharacteristic
390#66977C2318yes—
391#66977C2318yes—
392#66977C2318yescomplemented
393C2×Dic11⋊C4C2311yescharacteristic
394C2×Dic11⋊C4C2311yescharacteristic
395C2×Dic11⋊C4C2311yescharacteristic
396C2×Dic11⋊C4C2311yescharacteristic
397C2×Dic11⋊C4C2311yescharacteristic
398C2×Dic11⋊C4C2311yescharacteristic
399C2×Dic11⋊C4C2311yescharacteristic
400C2×Dic11⋊C4C2311yescharacteristic
401C2×Dic11⋊C4C2311yescharacteristic
402C2×Dic11⋊C4C2311yescharacteristic
403C2×Dic11⋊C4C2311yescharacteristic
404C2×Dic11⋊C4C2311yescharacteristic
405C2×Dic11⋊C4C2311yescharacteristic
406C2×Dic11⋊C4C2311yescharacteristic
407C2×Dic11⋊C4C2311yescharacteristic
408C2×Dic11⋊C4C2311yescharacteristic
409C2×Dic11⋊C4C2311yescharacteristic
410C2×Dic11⋊C4C2311yescharacteristic
411C2×Dic11⋊C4C2311yescharacteristic
412C2×Dic11⋊C4C2311yescharacteristic
413C2×Dic11⋊C4C2311yescharacteristic
414C2×Dic11⋊C4C2311yescharacteristic
415C2×Dic11⋊C4C2311yescharacteristic
416C2×Dic11⋊C4C2311yescharacteristic
417C2×Dic11⋊C4C2311yescharacteristic
418C2×Dic11⋊C4C2311yescharacteristic
419C2×Dic11⋊C4C2311yescharacteristic
420C2×Dic11⋊C4C2311yescharacteristic
421C2×Dic11⋊C4C2311yescharacteristic
422C2×Dic11⋊C4C2311yescharacteristic
423C2×Dic11⋊C4C2318yescomplemented
424C2×Dic11⋊C4C2318yescomplemented
425C2×Dic11⋊C4C2318yescomplemented
426C2×C4×Dic11C2311yescharacteristic
427C2×C4×Dic11C2311yescharacteristic
428C2×C4×Dic11C2311yescharacteristic
429C2×C4×Dic11C2311yescharacteristic
430C2×C4×Dic11C2311yescharacteristic
431C2×C4×Dic11C2311yescharacteristic
432C2×C4×Dic11C2311yescharacteristic
433C2×C4×Dic11C2311yescharacteristic
434C2×C4×Dic11C2311yescharacteristic
435C2×C4×Dic11C2311yescharacteristic
436C2×C4×Dic11C2311yescharacteristic
437#66951C2318yes—
438#66951C2318yes—
439#66951C2318yes—
440#66951C2318yes—
441#66951C2318yes—
442#66951C2318yes—
443#66951C2318yescomplemented
444#66949C2318yes—
445#66949C2318yes—
446#66949C2318yes—
447#66949C2318yescomplemented
448#66949C2318yescomplemented
449#66947C2318yes—
450#66947C2318yes—
451#66947C2318yes—
452#66942C2318yescomplemented
453#66942C2318yescomplemented
454#66942C2318yescomplemented
455#66942C2318yescomplemented
456#66942C2318yescomplemented
457#66942C2318yescomplemented
458#66942C2318yescomplemented
459#66942C2318yescomplemented
460#66942C2318yescomplemented
461#66939C2318yes—
462#66939C2318yes—
463#66939C2318yes—
464#66939C2318yes—
465#66939C2318yescomplemented
466#66938C2318yes—
467#66938C2318yes—
468#66938C2318yes—
469#66938C2318yes—
470#66938C2318yescomplemented
471#66937C2318yes—
472#66937C2318yes—
473#66937C2318yes—
474#66936C2318yes—
475#66936C2318yes—
476#66936C2318yes—
477#66936C2318yes—
478#66936C2318yescomplemented
479#66936C2318yescomplemented
480#66936C2318yescomplemented
481#66935C2318yes—
482(C22⋊D11)⋊C4C2318yes—
483(C22⋊D11)⋊C4C2318yes—
484(C22⋊D11)⋊C4C2318yes—
485(C22⋊D11)⋊C4C2318yes—
486(C22⋊D11)⋊C4C2318yes—
487(C22⋊D11)⋊C4C2318yescomplemented
488C22⋊C4×D11C2318yes—
489C22⋊C4×D11C2318yes—
490#66932C2318yes—
491#66932C2318yes—
492#66932C2318yes—
493#66932C2318yes—
494#66932C2318yes—
495#66932C2318yescomplemented
496#66932C2318yescomplemented
497#66932C2318yescomplemented
498#66932C2318yescomplemented
499#66931C2318yes—
500#66931C2318yescomplemented
501#66931C2318yescomplemented
502#66931C2318yescomplemented
503#66931C2318yescomplemented
504#66931C2318yescomplemented
505#66930C2318yes—
506#66930C2318yescomplemented
507#66930C2318yescomplemented
508#66930C2318yescomplemented
509#66929C2318yes—
510#66929C2318yes—
511#66929C2318yes—
512#66929C2318yescomplemented
513#66928C2318yes—
514C4×D44C2318yes—
515C4×D44C2318yes—
516#66925C2318yes—
517#66925C2318yes—
518#66925C2318yes—
519#66925C2318yes—
520C42×D11C2318yescomplemented
521#66923C2318yescomplemented
522#66923C2318yescomplemented
523#66923C2318yescomplemented
524#66922C2318yescomplemented
525C4×Dic22C2318yescomplemented
526C4×Dic22C2318yescomplemented
527C4×Dic22C2318yescomplemented
528C4×Dic22C2318yescomplemented
529C2×#3566—111nomaximal, Sylow
530C24×C11C2411yescharacteristic
531C24×C11C2411yescharacteristic
532C24×C11C2411yescharacteristic
533C24×C11C2411yescharacteristic
534C23×D11—42no—
535C23×D11—42no—
536C23×D11—42no—
537C23×D11C2411yescharacteristic
538C23×D11C2411yescharacteristic
539C23×D11C2411yescharacteristic
540C23×D11C2414yes—
541C2×Q8×C11—42no—
542C2×Q8×C11—42no—
543C2×Q8×C11C2414yes—
544C2×Q8×C11C2414yes—
545C2×D4×C11—42no—
546C2×D4×C11—42no—
547C2×D4×C11—42no—
548C2×D4×C11—42no—
549C2×D4×C11—42no—
550C2×D4×C11—42no—
551C2×D4×C11C2414yes—
552C2×D4×C11C2414yes—
553C2×D4×C11C2414yes—
554C2×D4×C11C2414yes—
555C2×D4×C11C2414yes—
556C2×D4×C11C2414yes—
557C22×C4×C11—42no—
558C22×C4×C11—42no—
559C22×C4×C11—42no—
560C22×C4×C11—42no—
561C22×C4×C11C2411yescharacteristic
562C22×C4×C11C2411yescharacteristic
563C22×C4×C11C2411yescharacteristic
564C22×C4×C11C2411yescharacteristic
565C22×C4×C11C2411yescharacteristic
566C22×C4×C11C2411yescharacteristic
567C22×C4×C11C2411yescharacteristic
568C22×C4×C11C2411yescharacteristic
569C22×C4×C11C2411yescharacteristic
570C22×C4×C11C2411yescharacteristic
571C22×C4×C11C2411yescharacteristic
572C22×C4×C11C2414yes—
573C22×C4×C11C2414yes—
574C22×C4×C11C2414yes—
575C22×C4×C11C2414yes—
576C2×C22⋊D11—42no—
577C2×C22⋊D11—42no—
578C2×C22⋊D11—42no—
579C2×C22⋊D11—42no—
580C2×C22⋊D11—42no—
581C2×C22⋊D11—42no—
582C2×C22⋊D11—42no—
583C2×C22⋊D11—42no—
584C2×C22⋊D11—42no—
585C2×C22⋊D11—42no—
586C2×C22⋊D11C2414yes—
587C2×C22⋊D11C2414yes—
588C2×C22⋊D11C2414yes—
589C2×C22⋊D11C2414yes—
590C2×C22⋊D11C2414yes—
591C2×C22⋊D11C2414yes—
592C2×C22⋊D11C2414yes—
593C2×C22⋊D11C2414yes—
594C2×C22⋊D11C2414yes—
595C2×C22⋊D11C2414yes—
596C22×Dic11—42no—
597C22×Dic11—42no—
598C22×Dic11—42no—
599C22×Dic11—42no—
600C22×Dic11—42no—
601C22×Dic11—42no—
602C22×Dic11—42no—
603C22×Dic11C2411yescharacteristic
604C22×Dic11C2411yescharacteristic
605C22×Dic11C2411yescharacteristic
606C22×Dic11C2411yescharacteristic
607C22×Dic11C2411yescharacteristic
608C22×Dic11C2411yescharacteristic
609C22×Dic11C2411yescharacteristic
610C22×Dic11C2411yescharacteristic
611C22×Dic11C2411yescharacteristic
612C22×Dic11C2411yescharacteristic
613C22×Dic11C2411yescharacteristic
614C22×Dic11C2411yescharacteristic
615C22×Dic11C2411yescharacteristic
616C22×Dic11C2414yes—
617C22×Dic11C2414yes—
618C22×Dic11C2414yes—
619C22×Dic11C2414yes—
620C22×Dic11C2414yes—
621C22×Dic11C2414yes—
622C22×Dic11C2414yes—
623C2×D44—42no—
624C2×D44—42no—
625C2×D44C2414yes—
626C2×D44C2414yes—
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×D11C2414yes—
635C2×C4×D11C2414yes—
636C2×C4×D11C2414yes—
637C2×C4×D11C2414yes—
638C2×C4×D11C2414yes—
639C2×C4×D11C2414yes—
640C2×C4×D11C2414yes—
641C2×Dic22—42no—
642C2×Dic22—42no—
643C2×Dic22—42no—
644C2×Dic22—42no—
645C2×Dic22C2414yes—
646C2×Dic22C2414yes—
647C2×Dic22C2414yes—
648C2×Dic22C2414yes—
649C11×C4⋊C4C2414yes—
650C11×C4⋊C4C2414yes—
651C11×C4⋊C4C2414yes—
652C11×C4⋊C4C2414yes—
653C11×C4⋊C4C2414yes—
654C11×C4⋊C4C2414yes—
655C11×C22⋊C4C2414yes—
656C11×C22⋊C4C2414yes—
657C11×C22⋊C4C2414yes—
658C11×C22⋊C4C2414yes—
659C11×C22⋊C4C2414yes—
660C11×C22⋊C4C2414yes—
661C11×C22⋊C4C2414yes—
662C11×C22⋊C4C2414yes—
663C11×C22⋊C4C2414yes—
664C11×C22⋊C4C2414yes—
665C11×C22⋊C4C2414yes—
666C11×C22⋊C4C2414yes—
667C42×C11C2414yes—
668C42×C11C2414yes—
669C42×C11C2414yes—
670C42×C11C2414yes—
671C42×C11C2414yes—
672C22⋊Dic11C2414yes—
673C22⋊Dic11C2414yes—
674C22⋊Dic11C2414yes—
675C22⋊Dic11C2414yes—
676C22⋊Dic11C2414yes—
677C22⋊Dic11C2414yes—
678C22⋊Dic11C2414yes—
679C22⋊Dic11C2414yes—
680C22⋊Dic11C2414yes—
681C22⋊Dic11C2414yes—
682C22⋊Dic11C2414yes—
683C22⋊Dic11C2414yes—
684C22⋊Dic11C2414yes—
685C22⋊Dic11C2414yes—
686(C2×D11)⋊C4C2414yes—
687(C2×D11)⋊C4C2414yes—
688(C2×D11)⋊C4C2414yes—
689(C2×D11)⋊C4C2414yes—
690(C2×D11)⋊C4C2414yes—
691(C2×D11)⋊C4C2414yes—
692(C2×D11)⋊C4C2414yes—
693(C2×D11)⋊C4C2414yes—
694(C2×D11)⋊C4C2414yes—
695(C2×D11)⋊C4C2414yes—
696(C2×D11)⋊C4C2414yes—
697(C2×D11)⋊C4C2414yes—
698(C2×D11)⋊C4C2414yes—
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—
708C4⋊Dic11C2414yes—
709C4⋊Dic11C2414yes—
710C4⋊Dic11C2414yes—
711C4⋊Dic11C2414yes—
712C4⋊Dic11C2414yes—
713C4⋊Dic11C2414yes—
714C4⋊Dic11C2414yes—
715C4⋊Dic11C2414yes—
716C4⋊Dic11C2414yes—
717C4⋊Dic11C2414yes—
718C4⋊Dic11C2414yes—
719C4⋊Dic11C2414yes—
720Dic11⋊C4C2414yes—
721Dic11⋊C4C2414yes—
722Dic11⋊C4C2414yes—
723Dic11⋊C4C2414yes—
724Dic11⋊C4C2414yes—
725Dic11⋊C4C2414yes—
726Dic11⋊C4C2414yes—
727Dic11⋊C4C2414yes—
728Dic11⋊C4C2414yes—
729Dic11⋊C4C2414yes—
730Dic11⋊C4C2414yes—
731Dic11⋊C4C2414yes—
732Dic11⋊C4C2414yes—
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—
750C4×Dic11C2414yes—
751C4×Dic11C2414yes—
752C4×Dic11C2414yes—
753C4×Dic11C2414yes—
754C4×Dic11C2414yes—
755C4×Dic11C2414yes—
756C4×Dic11C2414yes—
757C4×Dic11C2414yes—
758C4×Dic11C2414yes—
759C4×Dic11C2414yes—
760C4×Dic11C2414yes—
761#3566—1132no—
762C2×#563—111no—
763C2×#562—111no—
764C2×#562—111no—
765C2×#560—111no—
766C2×#559—111no—
767C2×#556—111no—
768C2×#555D1111yescharacteristic, complemented
769C2×#553—111no—
770C2×#553—111no—
771C2×#553—111no—
772C2×#552—111no—
773C2×#552—111no—
774C2×#552—111no—
775C2×#551—111no—
776C2×#551—111no—
777C2×#551—111no—
778C2×#542—111no—
779C2×#542—111no—
780C2×#542—111no—
781C2×#541—111no—
782C2×#541—111no—
783C2×#540—111no—
784C2×#539—111no—
785C2×#539—111no—
786C2×#539—111no—
787C2×#538—111no—
788C2×#538—111no—
789C2×#538—111no—
790C2×#529—111no—
791C2×#529—111no—
792C2×#529—111no—
793C23×C11—22no—
794C23×C11—22no—
795C23×C11—22no—
796C23×C11—22no—
797C23×C11—22no—
798C23×C11—22no—
799C23×C11—22no—
800C23×C11—22no—
801C23×C11—22no—
802C23×C11—22no—
803C23×C11—22no—
804C23×C11—22no—
805C23×C11C2512yes—
806C23×C11C2512yes—
807C23×C11C2512yes—
808C23×C11C2512yes—
809C23×C11C2511yescharacteristic
810C22×D11—22no—
811C22×D11—22no—
812C22×D11—22no—
813C22×D11—22no—
814C22×D11—22no—
815C22×D11—22no—
816C22×D11—22no—
817C22×D11—22no—
818C22×D11—22no—
819C22×D11—44no—
820C22×D11—44no—
821C22×D11—44no—
822C22×D11—88no—
823C22×D11C2512yes—
824C22×D11C2512yes—
825C22×D11C2512yes—
826Q8×C11—44no—
827Q8×C11—44no—
828D4×C11—44no—
829D4×C11—44no—
830D4×C11—44no—
831D4×C11—44no—
832D4×C11—44no—
833D4×C11—44no—
834C2×C4×C11—22no—
835C2×C4×C11—22no—
836C2×C4×C11—22no—
837C2×C4×C11—22no—
838C2×C4×C11—22no—
839C2×C4×C11—22no—
840C2×C4×C11—22no—
841C2×C4×C11—22no—
842C2×C4×C11—22no—
843C2×C4×C11—22no—
844C2×C4×C11—22no—
845C2×C4×C11—44no—
846C2×C4×C11—44no—
847C2×C4×C11—44no—
848C2×C4×C11—44no—
849C2×C4×C11C2512yes—
850C2×C4×C11C2512yes—
851C2×C4×C11C2512yes—
852C2×C4×C11C2512yes—
853C2×C4×C11C2512yes—
854C2×C4×C11C2512yes—
855C2×C4×C11C2512yes—
856C2×C4×C11C2512yes—
857C2×C4×C11C2512yes—
858C2×C4×C11C2512yes—
859C2×C4×C11C2512yes—
860C22⋊D11—44no—
861C22⋊D11—44no—
862C22⋊D11—44no—
863C22⋊D11—44no—
864C22⋊D11—44no—
865C22⋊D11—44no—
866C22⋊D11—44no—
867C22⋊D11—44no—
868C22⋊D11—44no—
869C22⋊D11—44no—
870C2×Dic11—22no—
871C2×Dic11—22no—
872C2×Dic11—22no—
873C2×Dic11—22no—
874C2×Dic11—22no—
875C2×Dic11—22no—
876C2×Dic11—22no—
877C2×Dic11—22no—
878C2×Dic11—22no—
879C2×Dic11—22no—
880C2×Dic11—22no—
881C2×Dic11—22no—
882C2×Dic11—22no—
883C2×Dic11—44no—
884C2×Dic11—44no—
885C2×Dic11—44no—
886C2×Dic11—44no—
887C2×Dic11—44no—
888C2×Dic11—44no—
889C2×Dic11—44no—
890C2×Dic11C2512yes—
891C2×Dic11C2512yes—
892C2×Dic11C2512yes—
893C2×Dic11C2512yes—
894C2×Dic11C2512yes—
895C2×Dic11C2512yes—
896C2×Dic11C2512yes—
897C2×Dic11C2512yes—
898C2×Dic11C2512yes—
899C2×Dic11C2512yes—
900C2×Dic11C2512yes—
901C2×Dic11C2512yes—
902C2×Dic11C2512yes—
903D44—44no—
904D44—44no—
905C4×D11—44no—
906C4×D11—44no—
907C4×D11—44no—
908C4×D11—44no—
909C4×D11—44no—
910C4×D11—44no—
911C4×D11—44no—
912Dic22—44no—
913Dic22—44no—
914Dic22—44no—
915Dic22—44no—
916#563—1116no—
917#562—1116no—
918#562—1116no—
919#560—1116no—
920#559—1116no—
921#556—1116no—
922#555C2×D11116yescomplemented
923#553—1116no—
924#553—1116no—
925#553—1116no—
926#552—1116no—
927#552—1116no—
928#552—1116no—
929#551—1116no—
930#551—1116no—
931#551—1116no—
932#542—1116no—
933#542—1116no—
934#542—1116no—
935#541—1116no—
936#541—1116no—
937#540—1116no—
938#539—1116no—
939#539—1116no—
940#539—1116no—
941#538—1116no—
942#538—1116no—
943#538—1116no—
944C2×C4⋊Q8—111no—
945C2×C4⋊Q8—111no—
946C2×C4⋊Q8C2×D1111yescharacteristic, complemented
947C2×#127—111no—
948#529—1116no—
949#529—1116no—
950#529—1116no—
951C2×#126—111no—
952C2×#126—111no—
953C2×#126—111no—
954C2×#126—111no—
955C2×#126—111no—
956C2×#126—111no—
957C2×#126—111no—
958C2×#126—111no—
959C2×#126—111no—
960C2×#126—111no—
961C2×#126—111no—
962C2×#126—111no—
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×#125—111no—
972C2×#125—111no—
973C2×#125—111no—
974C2×#125—111no—
975C2×#125—111no—
976C2×#125—111no—
977C2×#125—111no—
978C2×#125—111no—
979C2×#125—111no—
980C2×#125—111no—
981C2×#125—111no—
982C2×#125—111no—
983C2×#124—111no—
984C2×#124—111no—
985C2×#124—111no—
986C2×#124—111no—
987C2×#124—111no—
988C2×#124—111no—
989C2×#124—111no—
990C2×#124—111no—
991C2×#124C2×D1111yescharacteristic
992C2×#124C2×D1111yescharacteristic
993C2×#124C2×D1111yescharacteristic, complemented
994C2×#124C2×D1111yescharacteristic, complemented
995C2×#123—111no—
996C2×#123—111no—
997C2×#123—111no—
998C2×#123—111no—
999C2×#123—111no—
1000C2×#123—111no—
1001C2×#123—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×C22⋊Q8—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×C22⋊Q8—111no—
1036C2×C22⋊Q8—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×#121—111no—
1047C2×#121—111no—
1048C2×#121—111no—
1049C2×#121—111no—
1050C2×#121—111no—
1051C2×#121C2×D1111yescharacteristic
1052C2×#121C2×D1111yescharacteristic
1053C2×#121C2×D1111yescharacteristic
1054C2×#121C2×D1111yescharacteristic, complemented
1055C2×#120—111no—
1056C2×#120—111no—
1057C2×#120—111no—
1058C2×#120—111no—
1059C2×C4×Q8—111no—
1060C2×C4×Q8—111no—
1061C2×C4×Q8—111no—
1062C2×C4×Q8—111no—
1063C2×C4×Q8—111no—
1064C2×C4×Q8—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×D4C2×D1111yescharacteristic
1082C2×C4×D4C2×D1111yescharacteristic, complemented
1083C2×#117—111no—
1084C2×#117—111no—
1085C2×#117—111no—
1086C2×#117—111no—
1087C2×#117—111no—
1088C2×#117—111no—
1089C2×#117—111no—
1090C2×#117—111no—
1091C2×#117C2×D1111yescharacteristic
1092C2×#117C2×D1111yescharacteristic, complemented
1093C2×#117C2×D1111yescharacteristic, complemented
1094C2×#117C2×D1111yescharacteristic, complemented
1095C22×C4⋊C4—111no—
1096C22×C4⋊C4—111no—
1097C22×C4⋊C4—111no—
1098C22×C22⋊C4—111no—
1099C22×C22⋊C4—111no—
1100C22×C22⋊C4—111no—
1101C22×C42—111no—
1102C22×C11—22no—
1103C22×C11—22no—
1104C22×C11—22no—
1105C22×C11—22no—
1106C22×C11—22no—
1107C22×C11—22no—
1108C22×C11—22no—
1109C22×C11—22no—
1110C22×C11—22no—
1111C22×C11—22no—
1112C22×C11—22no—
1113C22×C11—22no—
1114C22×C11—44no—
1115C22×C11—44no—
1116C22×C11—44no—
1117C22×C11—44no—
1118C22×C11#58512yes—
1119C22×C11#58512yes—
1120C22×C11#58512yes—
1121C22×C11C2611yescharacteristic
1122C2×D11—22no—
1123C2×D11—22no—
1124C2×D11—22no—
1125C2×D11—22no—
1126C2×D11—22no—
1127C2×D11—22no—
1128C2×D11—22no—
1129C2×D11—22no—
1130C2×D11—22no—
1131C2×D11—44no—
1132C2×D11—44no—
1133C2×D11—44no—
1134C2×D11—88no—
1135C4×C11—22no—
1136C4×C11—22no—
1137C4×C11—22no—
1138C4×C11—22no—
1139C4×C11—22no—
1140C4×C11—22no—
1141C4×C11—22no—
1142C4×C11—22no—
1143C4×C11—22no—
1144C4×C11—22no—
1145C4×C11—22no—
1146Dic11—22no—
1147Dic11—22no—
1148Dic11—22no—
1149Dic11—22no—
1150Dic11—22no—
1151Dic11—22no—
1152Dic11—22no—
1153Dic11—22no—
1154Dic11—22no—
1155Dic11—22no—
1156Dic11—22no—
1157Dic11—22no—
1158Dic11—22no—
1159C25—111no—
1160C22×Q8—111no—
1161C22×Q8—111no—
1162C22×Q8—111no—
1163C22×Q8—111no—
1164C22×Q8C22×D1111yescharacteristic
1165C22×Q8C22×D1111yescharacteristic
1166C22×D4—111no—
1167C22×D4—111no—
1168C22×D4—111no—
1169C22×D4—111no—
1170C22×D4—111no—
1171C22×D4—111no—
1172C22×D4—111no—
1173C22×D4—111no—
1174C22×D4—111no—
1175C22×D4—111no—
1176C22×D4—111no—
1177C22×D4—111no—
1178C22×D4C22×D1111yescharacteristic
1179C22×D4C22×D1111yescharacteristic
1180C22×D4C22×D1111yescharacteristic
1181C22×D4C22×D1111yescharacteristic
1182C22×D4C22×D1111yescharacteristic
1183C22×D4C22×D1111yescharacteristic
1184C23×C4—111no—
1185C23×C4—111no—
1186C23×C4—111no—
1187C23×C4—111no—
1188C23×C4—111no—
1189C23×C4—111no—
1190C23×C4—111no—
1191C23×C4—111no—
1192C23×C4—111no—
1193C23×C4—111no—
1194C23×C4—111no—
1195C23×C4—111no—
1196C23×C4—111no—
1197C23×C4—111no—
1198C23×C4C22×D1111yescharacteristic
1199C23×C4C22×D1111yescharacteristic
1200C23×C4C22×D1111yescharacteristic
1201C23×C4C22×D1111yescharacteristic
1202C4⋊Q8—118no—
1203C4⋊Q8—118no—
1204C4⋊Q8C22×D1118yescomplemented
1205#127—118no—
1206#126—118no—
1207#126—118no—
1208#126—118no—
1209#126—118no—
1210#126—118no—
1211#126—118no—
1212#126—118no—
1213#126—118no—
1214#126—118no—
1215#126—118no—
1216#126—118no—
1217#126—118no—
1218#126—118no—
1219#126—118no—
1220#126—118no—
1221#126—118no—
1222#126—118no—
1223#126—118no—
1224#126—118no—
1225#126—118no—
1226#125—118no—
1227#125—118no—
1228#125—118no—
1229#125—118no—
1230#125—118no—
1231#125—118no—
1232#125—118no—
1233#125—118no—
1234#125—118no—
1235#125—118no—
1236#125—118no—
1237#125—118no—
1238#124—118no—
1239#124—118no—
1240#124—118no—
1241#124—118no—
1242#124—118no—
1243#124—118no—
1244#124—118no—
1245#124—118no—
1246#124C22×D1118yes—
1247#124C22×D1118yes—
1248#124C22×D1118yescomplemented
1249#124C22×D1118yescomplemented
1250#123—118no—
1251#123—118no—
1252#123—118no—
1253#123—118no—
1254#123—118no—
1255#123—118no—
1256#123—118no—
1257#123—118no—
1258#123—118no—
1259#123—118no—
1260#123—118no—
1261#123—118no—
1262#123—118no—
1263#123—118no—
1264#123—118no—
1265#123—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—
1274C22⋊Q8—118no—
1275C22⋊Q8—118no—
1276C22⋊Q8—118no—
1277C22⋊Q8—118no—
1278C22⋊Q8—118no—
1279C22⋊Q8—118no—
1280C22⋊Q8—118no—
1281C22⋊Q8—118no—
1282C22⋊Q8—118no—
1283C22⋊Q8—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—
1292#121—118no—
1293#121—118no—
1294#121—118no—
1295#121—118no—
1296#121—118no—
1297#121—118no—
1298#121—118no—
1299#121—118no—
1300#121—118no—
1301#121—118no—
1302#121—118no—
1303#121—118no—
1304#121—118no—
1305#121—118no—
1306#121C22×D1118yes—
1307#121C22×D1118yes—
1308#121C22×D1118yes—
1309#121C22×D1118yescomplemented
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×D4—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×D4C22×D1118yes—
1337C4×D4C22×D1118yescomplemented
1338#117—118no—
1339#117—118no—
1340#117—118no—
1341#117—118no—
1342#117—118no—
1343#117—118no—
1344#117—118no—
1345#117—118no—
1346#117C22×D1118yes—
1347#117C22×D1118yescomplemented
1348#117C22×D1118yescomplemented
1349#117C22×D1118yescomplemented
1350C2×C4⋊C4—111no—
1351C2×C4⋊C4—111no—
1352C2×C4⋊C4—111no—
1353C2×C4⋊C4—111no—
1354C2×C4⋊C4—111no—
1355C2×C4⋊C4—111no—
1356C2×C4⋊C4—111no—
1357C2×C4⋊C4—111no—
1358C2×C4⋊C4—111no—
1359C2×C4⋊C4—111no—
1360C2×C4⋊C4—111no—
1361C2×C4⋊C4—111no—
1362C2×C4⋊C4—118no—
1363C2×C4⋊C4—118no—
1364C2×C4⋊C4—118no—
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—111no—
1395C2×C4⋊C4C22×D1111yescharacteristic
1396C2×C4⋊C4C22×D1111yescharacteristic
1397C2×C4⋊C4C22×D1111yescharacteristic
1398C2×C4⋊C4C22×D1111yescharacteristic
1399C2×C4⋊C4C22×D1111yescharacteristic
1400C2×C4⋊C4C22×D1111yescharacteristic
1401C2×C22⋊C4—111no—
1402C2×C22⋊C4—111no—
1403C2×C22⋊C4—111no—
1404C2×C22⋊C4—111no—
1405C2×C22⋊C4—111no—
1406C2×C22⋊C4—111no—
1407C2×C22⋊C4—111no—
1408C2×C22⋊C4—111no—
1409C2×C22⋊C4—111no—
1410C2×C22⋊C4—111no—
1411C2×C22⋊C4—111no—
1412C2×C22⋊C4—111no—
1413C2×C22⋊C4—111no—
1414C2×C22⋊C4—111no—
1415C2×C22⋊C4—111no—
1416C2×C22⋊C4—111no—
1417C2×C22⋊C4—111no—
1418C2×C22⋊C4—111no—
1419C2×C22⋊C4—111no—
1420C2×C22⋊C4—111no—
1421C2×C22⋊C4—111no—
1422C2×C22⋊C4—111no—
1423C2×C22⋊C4—118no—
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—118no—
1439C2×C22⋊C4—118no—
1440C2×C22⋊C4C22×D1111yescharacteristic
1441C2×C22⋊C4C22×D1111yescharacteristic
1442C2×C22⋊C4C22×D1111yescharacteristic
1443C2×C22⋊C4C22×D1111yescharacteristic
1444C2×C22⋊C4C22×D1111yescharacteristic
1445C2×C22⋊C4C22×D1111yescharacteristic
1446C2×C22⋊C4C22×D1111yescharacteristic
1447C2×C22⋊C4C22×D1111yescharacteristic
1448C2×C22⋊C4C22×D1111yescharacteristic
1449C2×C22⋊C4C22×D1111yescharacteristic
1450C2×C22⋊C4C22×D1111yescharacteristic
1451C2×C22⋊C4C22×D1111yescharacteristic
1452C2×C42—111no—
1453C2×C42—111no—
1454C2×C42—111no—
1455C2×C42—111no—
1456C2×C42—111no—
1457C2×C42—111no—
1458C2×C42—111no—
1459C2×C42—111no—
1460C2×C42—111no—
1461C2×C42—111no—
1462C2×C42—111no—
1463C2×C42—118no—
1464C2×C42C22×D1111yescharacteristic
1465C2×C42C22×D1111yescharacteristic
1466C2×C42C22×D1111yescharacteristic
1467C2×C42C22×D1111yescharacteristic
1468C2×C42C22×D1111yescharacteristic
1469C2×C11—42no—
1470C2×C11—42no—
1471C2×C11—42no—
1472C2×C11—42no—
1473C2×C11#356614yescomplemented
1474C2×C11C2×#58511yescharacteristic
1475C2×C11C2×#58511yescharacteristic
1476C2×C11C2×#58511yescharacteristic
1477D11—42no—
1478D11—42no—
1479D11—42no—
1480C24—111no—
1481C24—111no—
1482C24—111no—
1483C24—114no—
1484C24—442no—
1485C24—442no—
1486C24—442no—
1487C24C23×D1111yescharacteristic
1488C24C23×D1111yescharacteristic
1489C24C23×D1111yescharacteristic
1490C24C23×D1111yescharacteristic
1491C2×Q8—42no—
1492C2×Q8—42no—
1493C2×Q8—114no—
1494C2×Q8—114no—
1495C2×Q8—114no—
1496C2×Q8—114no—
1497C2×Q8—442no—
1498C2×Q8—442no—
1499C2×Q8—442no—
1500C2×Q8—442no—
1501C2×Q8C23×D1114yes—
1502C2×Q8C23×D1114yes—
1503C2×D4—42no—
1504C2×D4—42no—
1505C2×D4—42no—
1506C2×D4—42no—
1507C2×D4—42no—
1508C2×D4—42no—
1509C2×D4—114no—
1510C2×D4—114no—
1511C2×D4—114no—
1512C2×D4—114no—
1513C2×D4—114no—
1514C2×D4—114no—
1515C2×D4—114no—
1516C2×D4—114no—
1517C2×D4—114no—
1518C2×D4—114no—
1519C2×D4—114no—
1520C2×D4—114no—
1521C2×D4—442no—
1522C2×D4—442no—
1523C2×D4—442no—
1524C2×D4—442no—
1525C2×D4—442no—
1526C2×D4—442no—
1527C2×D4—442no—
1528C2×D4—442no—
1529C2×D4—442no—
1530C2×D4—442no—
1531C2×D4—442no—
1532C2×D4—442no—
1533C2×D4C23×D1114yes—
1534C2×D4C23×D1114yes—
1535C2×D4C23×D1114yes—
1536C2×D4C23×D1114yes—
1537C2×D4C23×D1114yes—
1538C2×D4C23×D1114yes—
1539C22×C4—42no—
1540C22×C4—42no—
1541C22×C4—42no—
1542C22×C4—42no—
1543C22×C4—111no—
1544C22×C4—111no—
1545C22×C4—111no—
1546C22×C4—111no—
1547C22×C4—111no—
1548C22×C4—111no—
1549C22×C4—111no—
1550C22×C4—111no—
1551C22×C4—111no—
1552C22×C4—111no—
1553C22×C4—111no—
1554C22×C4—111no—
1555C22×C4—111no—
1556C22×C4—114no—
1557C22×C4—114no—
1558C22×C4—114no—
1559C22×C4—114no—
1560C22×C4—114no—
1561C22×C4—114no—
1562C22×C4—114no—
1563C22×C4—114no—
1564C22×C4—114no—
1565C22×C4—114no—
1566C22×C4—114no—
1567C22×C4—114no—
1568C22×C4—114no—
1569C22×C4—114no—
1570C22×C4—442no—
1571C22×C4—442no—
1572C22×C4—442no—
1573C22×C4—442no—
1574C22×C4—442no—
1575C22×C4—442no—
1576C22×C4—442no—
1577C22×C4—442no—
1578C22×C4—442no—
1579C22×C4—442no—
1580C22×C4—442no—
1581C22×C4—442no—
1582C22×C4—442no—
1583C22×C4—442no—
1584C22×C4C23×D1111yescharacteristic
1585C22×C4C23×D1111yescharacteristic
1586C22×C4C23×D1111yescharacteristic
1587C22×C4C23×D1111yescharacteristic
1588C22×C4C23×D1111yescharacteristic
1589C22×C4C23×D1111yescharacteristic
1590C22×C4C23×D1111yescharacteristic
1591C22×C4C23×D1111yescharacteristic
1592C22×C4C23×D1111yescharacteristic
1593C22×C4C23×D1111yescharacteristic
1594C22×C4C23×D1111yescharacteristic
1595C22×C4C23×D1114yes—
1596C22×C4C23×D1114yes—
1597C22×C4C23×D1114yes—
1598C22×C4C23×D1114yes—
1599C4⋊C4—114no—
1600C4⋊C4—114no—
1601C4⋊C4—114no—
1602C4⋊C4—114no—
1603C4⋊C4—114no—
1604C4⋊C4—114no—
1605C4⋊C4—114no—
1606C4⋊C4—114no—
1607C4⋊C4—114no—
1608C4⋊C4—114no—
1609C4⋊C4—114no—
1610C4⋊C4—114no—
1611C4⋊C4—114no—
1612C4⋊C4—114no—
1613C4⋊C4—114no—
1614C4⋊C4—114no—
1615C4⋊C4—114no—
1616C4⋊C4—114no—
1617C4⋊C4—114no—
1618C4⋊C4—114no—
1619C4⋊C4—114no—
1620C4⋊C4—114no—
1621C4⋊C4—114no—
1622C4⋊C4—114no—
1623C4⋊C4—114no—
1624C4⋊C4—114no—
1625C4⋊C4—114no—
1626C4⋊C4—114no—
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⋊C4C23×D1114yes—
1642C4⋊C4C23×D1114yes—
1643C4⋊C4C23×D1114yes—
1644C4⋊C4C23×D1114yes—
1645C4⋊C4C23×D1114yes—
1646C4⋊C4C23×D1114yes—
1647C22⋊C4—114no—
1648C22⋊C4—114no—
1649C22⋊C4—114no—
1650C22⋊C4—114no—
1651C22⋊C4—114no—
1652C22⋊C4—114no—
1653C22⋊C4—114no—
1654C22⋊C4—114no—
1655C22⋊C4—114no—
1656C22⋊C4—114no—
1657C22⋊C4—114no—
1658C22⋊C4—114no—
1659C22⋊C4—114no—
1660C22⋊C4—114no—
1661C22⋊C4—114no—
1662C22⋊C4—114no—
1663C22⋊C4—114no—
1664C22⋊C4—114no—
1665C22⋊C4—114no—
1666C22⋊C4—114no—
1667C22⋊C4—114no—
1668C22⋊C4—114no—
1669C22⋊C4—114no—
1670C22⋊C4—114no—
1671C22⋊C4—114no—
1672C22⋊C4—114no—
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⋊C4C23×D1114yes—
1684C22⋊C4C23×D1114yes—
1685C22⋊C4C23×D1114yes—
1686C22⋊C4C23×D1114yes—
1687C22⋊C4C23×D1114yes—
1688C22⋊C4C23×D1114yes—
1689C22⋊C4C23×D1114yes—
1690C22⋊C4C23×D1114yes—
1691C22⋊C4C23×D1114yes—
1692C22⋊C4C23×D1114yes—
1693C22⋊C4C23×D1114yes—
1694C22⋊C4C23×D1114yes—
1695C42—114no—
1696C42—114no—
1697C42—114no—
1698C42—114no—
1699C42—114no—
1700C42—114no—
1701C42—114no—
1702C42—114no—
1703C42—114no—
1704C42—114no—
1705C42—114no—
1706C42C23×D1114yes—
1707C42C23×D1114yes—
1708C42C23×D1114yes—
1709C42C23×D1114yes—
1710C42C23×D1114yes—
1711C11C2×#356611yescharacteristic, complemented, Sylow
1712C23—22no—
1713C23—22no—
1714C23—22no—
1715C23—22no—
1716C23—22no—
1717C23—22no—
1718C23—22no—
1719C23—22no—
1720C23—22no—
1721C23—22no—
1722C23—22no—
1723C23—22no—
1724C23—112no—
1725C23—112no—
1726C23—112no—
1727C23—222no—
1728C23—222no—
1729C23—222no—
1730C23—222no—
1731C23—222no—
1732C23—222no—
1733C23—222no—
1734C23—222no—
1735C23—222no—
1736C23—444no—
1737C23—444no—
1738C23—444no—
1739C23—888no—
1740C23C24×D1112yes—
1741C23C24×D1112yes—
1742C23C24×D1112yes—
1743C23C24×D1112yes—
1744C23C24×D1111yescharacteristic
1745Q8—44no—
1746Q8—44no—
1747Q8—444no—
1748Q8—444no—
1749Q8—444no—
1750Q8—444no—
1751D4—44no—
1752D4—44no—
1753D4—44no—
1754D4—44no—
1755D4—44no—
1756D4—44no—
1757D4—444no—
1758D4—444no—
1759D4—444no—
1760D4—444no—
1761D4—444no—
1762D4—444no—
1763D4—444no—
1764D4—444no—
1765D4—444no—
1766D4—444no—
1767D4—444no—
1768D4—444no—
1769C2×C4—22no—
1770C2×C4—22no—
1771C2×C4—22no—
1772C2×C4—22no—
1773C2×C4—22no—
1774C2×C4—22no—
1775C2×C4—22no—
1776C2×C4—22no—
1777C2×C4—22no—
1778C2×C4—22no—
1779C2×C4—22no—
1780C2×C4—44no—
1781C2×C4—44no—
1782C2×C4—44no—
1783C2×C4—44no—
1784C2×C4—112no—
1785C2×C4—112no—
1786C2×C4—112no—
1787C2×C4—112no—
1788C2×C4—112no—
1789C2×C4—112no—
1790C2×C4—112no—
1791C2×C4—112no—
1792C2×C4—112no—
1793C2×C4—112no—
1794C2×C4—112no—
1795C2×C4—112no—
1796C2×C4—112no—
1797C2×C4—222no—
1798C2×C4—222no—
1799C2×C4—222no—
1800C2×C4—222no—
1801C2×C4—222no—
1802C2×C4—222no—
1803C2×C4—222no—
1804C2×C4—222no—
1805C2×C4—222no—
1806C2×C4—222no—
1807C2×C4—222no—
1808C2×C4—222no—
1809C2×C4—222no—
1810C2×C4—444no—
1811C2×C4—444no—
1812C2×C4—444no—
1813C2×C4—444no—
1814C2×C4—444no—
1815C2×C4—444no—
1816C2×C4—444no—
1817C2×C4—444no—
1818C2×C4—444no—
1819C2×C4—444no—
1820C2×C4—444no—
1821C2×C4—444no—
1822C2×C4—444no—
1823C2×C4—444no—
1824C2×C4C24×D1112yes—
1825C2×C4C24×D1112yes—
1826C2×C4C24×D1112yes—
1827C2×C4C24×D1112yes—
1828C2×C4C24×D1112yes—
1829C2×C4C24×D1112yes—
1830C2×C4C24×D1112yes—
1831C2×C4C24×D1112yes—
1832C2×C4C24×D1112yes—
1833C2×C4C24×D1112yes—
1834C2×C4C24×D1112yes—
1835C22—22no—
1836C22—22no—
1837C22—22no—
1838C22—22no—
1839C22—22no—
1840C22—22no—
1841C22—22no—
1842C22—22no—
1843C22—22no—
1844C22—22no—
1845C22—22no—
1846C22—22no—
1847C22—44no—
1848C22—44no—
1849C22—44no—
1850C22—44no—
1851C22—222no—
1852C22—222no—
1853C22—222no—
1854C22—222no—
1855C22—222no—
1856C22—222no—
1857C22—222no—
1858C22—222no—
1859C22—222no—
1860C22—444no—
1861C22—444no—
1862C22—444no—
1863C22—888no—
1864C22#1062345312yes—
1865C22#1062345312yes—
1866C22#1062345512yes—
1867C22C25×D1111yescharacteristic
1868C4—22no—
1869C4—22no—
1870C4—22no—
1871C4—22no—
1872C4—22no—
1873C4—22no—
1874C4—22no—
1875C4—22no—
1876C4—22no—
1877C4—22no—
1878C4—22no—
1879C4—222no—
1880C4—222no—
1881C4—222no—
1882C4—222no—
1883C4—222no—
1884C4—222no—
1885C4—222no—
1886C4—222no—
1887C4—222no—
1888C4—222no—
1889C4—222no—
1890C4—222no—
1891C4—222no—
1892C2—42no—
1893C2—42no—
1894C2—42no—
1895C2—42no—
1896C2—442no—
1897C2—442no—
1898C2—442no—
1899C2#1308327014yesdirect product factor
1900C2C2×#1062345511yescharacteristic
1901C2C2×#1062345311yescharacteristic
1902C2C2×#1062345311yescharacteristic
subgroupG/H
centerC23C24×D11
commutator, cosocleC22×C11C26
FrattiniC22C25×D11
FittingC2×C11×#555C2
socleC23×C11C25
hypercenterC2×#555D11
hypocenterC11C2×#3566
LCSG ▷ C22×C11 ▷ C11
UCSC1 ◁ C23 ◁ C2×#555

Complements

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

NH ≅ G/Ntype
1. #13083270C2direct (N × H)
2. C2×#10623266C2semidirect
3. C2×#10623152C2semidirect
4. C2×#10623215C2semidirect
5. C2×#10623151C2semidirect
6. C2×#10623212C2semidirect
7. C2×#10623202C2semidirect
8. C2×#10623071C2semidirect
9. C2×#10623132C2semidirect
10. C2×#10623132C2semidirect
11. C2×#10623062C2semidirect
12. C2×#10623062C2semidirect
13. C2×#10623062C2semidirect
14. C2×#10623210C2semidirect
15. C2×#10623087C2semidirect
16. C2×#10623058C2semidirect
17. C2×#10623065C2semidirect
18. C2×#10623213C2semidirect
19. C2×#10623200C2semidirect
20. C2×#10623049C2semidirect
21. C2×#10623262C2semidirect
22. C2×#10623146C2semidirect
23. C2×#10623133C2semidirect
24. C2×#10623095C2semidirect
25. C2×#10623095C2semidirect
26. C2×#10623148C2semidirect
27. C2×#10623209C2semidirect
28. C2×#10623144C2semidirect
29. C2×#10623211C2semidirect
30. C2×#10623059C2semidirect
31. C2×#10623059C2semidirect
32. C2×C11×#555C2semidirect
33. C11×#555C22semidirect
34. C2×C11×C4⋊Q8C22semidirect
37. C2×C11×#124C22semidirect
38. C2×C11×#124C22semidirect
42. C2×C11×#121C22semidirect
44. C2×C4×D4×C11C22semidirect
46. C2×C11×#117C22semidirect
47. C2×C11×#117C22semidirect
48. C2×C11×#117C22semidirect
53. C2×#66999C22semidirect
54. C2×Q8×Dic11C22semidirect
55. C2×Q8×Dic11C22semidirect
56. C2×#66997C22semidirect
64. C2×#66992C22semidirect
65. C2×#66992C22semidirect
75. C2×#66988C22semidirect
76. C2×#66988C22semidirect
79. C2×D4×Dic11C22semidirect
80. C2×D4×Dic11C22semidirect
88. C2×C4×C22⋊D11C22semidirect
89. C2×C4×C22⋊D11C22semidirect
93. C2×#66977C22semidirect
94. C22×Dic11⋊C4C22semidirect
95. C22×Dic11⋊C4C22semidirect
96. C22×Dic11⋊C4C22semidirect
97. #10623266C22semidirect
98. #10623262C22semidirect
99. #10623215C22semidirect
100. #10623213C22semidirect
101. #10623212C22semidirect
102. #10623211C22semidirect
103. #10623210C22semidirect
104. #10623209C22semidirect
105. #10623202C22semidirect
106. #10623200C22semidirect
107. #10623152C22semidirect
108. #10623151C22semidirect
109. #10623148C22semidirect
110. #10623146C22semidirect
111. #10623144C22semidirect
112. #10623133C22semidirect
113. #10623132C22semidirect
114. #10623132C22semidirect
115. #10623095C22semidirect
116. #10623095C22semidirect
117. #10623087C22semidirect
118. #10623071C22semidirect
119. #10623065C22semidirect
120. #10623062C22semidirect
121. #10623062C22semidirect
122. #10623062C22semidirect
123. #10623059C22semidirect
124. #10623059C22semidirect
125. #10623058C22semidirect
126. #10623049C22semidirect
133. C2×#66951C22semidirect
137. C2×#66949C22semidirect
138. C2×#66949C22semidirect
142. C2×#66942C22semidirect
143. C2×#66942C22semidirect
144. C2×#66942C22semidirect
145. C2×#66942C22semidirect
146. C2×#66942C22semidirect
147. C2×#66942C22semidirect
148. C2×#66942C22semidirect
149. C2×#66942C22semidirect
150. C2×#66942C22semidirect
155. C2×#66939C22semidirect
160. C2×#66938C22semidirect
168. C2×#66936C22semidirect
169. C2×#66936C22semidirect
170. C2×#66936C22semidirect
177. C2×(C22⋊D11)⋊C4C22semidirect
185. C2×#66932C22semidirect
186. C2×#66932C22semidirect
187. C2×#66932C22semidirect
188. C2×#66932C22semidirect
190. C2×#66931C22semidirect
191. C2×#66931C22semidirect
192. C2×#66931C22semidirect
193. C2×#66931C22semidirect
194. C2×#66931C22semidirect
196. C2×#66930C22semidirect
197. C2×#66930C22semidirect
198. C2×#66930C22semidirect
202. C2×#66929C22semidirect
210. C2×C42×D11C22semidirect
211. C2×#66923C22semidirect
212. C2×#66923C22semidirect
213. C2×#66923C22semidirect
214. C2×#66922C22semidirect
215. C2×C4×Dic22C22semidirect
216. C2×C4×Dic22C22semidirect
217. C2×C4×Dic22C22semidirect
218. C2×C4×Dic22C22semidirect
262. C11×C4⋊Q8C23semidirect
265. C11×#124C23semidirect
266. C11×#124C23semidirect
270. C11×#121C23semidirect
272. C4×D4×C11C23semidirect
274. C11×#117C23semidirect
275. C11×#117C23semidirect
276. C11×#117C23semidirect
318. #66999C23semidirect
319. Q8×Dic11C23semidirect
320. Q8×Dic11C23semidirect
321. #66997C23semidirect
329. #66992C23semidirect
330. #66992C23semidirect
340. #66988C23semidirect
341. #66988C23semidirect
344. D4×Dic11C23semidirect
345. D4×Dic11C23semidirect
353. C4×C22⋊D11C23semidirect
354. C4×C22⋊D11C23semidirect
392. #66977C23semidirect
423. C2×Dic11⋊C4C23semidirect
424. C2×Dic11⋊C4C23semidirect
425. C2×Dic11⋊C4C23semidirect
443. #66951C23semidirect
447. #66949C23semidirect
448. #66949C23semidirect
452. #66942C23semidirect
453. #66942C23semidirect
454. #66942C23semidirect
455. #66942C23semidirect
456. #66942C23semidirect
457. #66942C23semidirect
458. #66942C23semidirect
459. #66942C23semidirect
460. #66942C23semidirect
465. #66939C23semidirect
470. #66938C23semidirect
478. #66936C23semidirect
479. #66936C23semidirect
480. #66936C23semidirect
487. (C22⋊D11)⋊C4C23semidirect
495. #66932C23semidirect
496. #66932C23semidirect
497. #66932C23semidirect
498. #66932C23semidirect
500. #66931C23semidirect
501. #66931C23semidirect
502. #66931C23semidirect
503. #66931C23semidirect
504. #66931C23semidirect
506. #66930C23semidirect
507. #66930C23semidirect
508. #66930C23semidirect
512. #66929C23semidirect
520. C42×D11C23semidirect
521. #66923C23semidirect
522. #66923C23semidirect
523. #66923C23semidirect
524. #66922C23semidirect
525. C4×Dic22C23semidirect
526. C4×Dic22C23semidirect
527. C4×Dic22C23semidirect
528. C4×Dic22C23semidirect
768. C2×#555D11semidirect
922. #555C2×D11semidirect
946. C2×C4⋊Q8C2×D11semidirect
993. C2×#124C2×D11semidirect
994. C2×#124C2×D11semidirect
1054. C2×#121C2×D11semidirect
1082. C2×C4×D4C2×D11semidirect
1092. C2×#117C2×D11semidirect
1093. C2×#117C2×D11semidirect
1094. C2×#117C2×D11semidirect
1204. C4⋊Q8C22×D11semidirect
1248. #124C22×D11semidirect
1249. #124C22×D11semidirect
1309. #121C22×D11semidirect
1337. C4×D4C22×D11semidirect
1347. #117C22×D11semidirect
1348. #117C22×D11semidirect
1349. #117C22×D11semidirect
1473. C2×C11#3566semidirect
1711. C11C2×#3566semidirect
1899. C2#13083270direct (N × H)

Maximal subgroups

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

subgroupindex
#130832702
C2×#106232662
C2×#106231522
C2×#106232152
C2×#106231512
C2×#106232122
C2×#106232022
C2×#106230712
C2×#106231322
C2×#106230622
C2×#106232102
C2×#106230872
C2×#106230582
C2×#106230652
C2×#106232132
C2×#106232002
C2×#106230492
C2×#106232622
C2×#106231462
C2×#106231332
C2×#106230952
C2×#106231482
C2×#106232092
C2×#106231442
C2×#106232112
C2×#106230592
C2×C11×#5552
C2×#356611