Finite Group Databasebeta

← C2×#13083277 #15661308

Subgroups — C2×#13083277 #15661308

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#13083277C2132yesmaximal, direct product factor
2C2×#10623182C211yesmaximal, characteristic, complemented
3C2×#10623198C211yesmaximal, characteristic, complemented
4C2×#10623215C211yesmaximal, characteristic, complemented
5C2×#10623126C211yesmaximal, characteristic, complemented
6C2×#10623090C211yesmaximal, characteristic, complemented
7C2×#10623172C211yesmaximal, characteristic, complemented
8C2×#10623063C211yesmaximal, characteristic, complemented
9C2×#10623240C211yesmaximal, characteristic, complemented
10C2×#10623089C211yesmaximal, characteristic, complemented
11C2×#10623192C211yesmaximal, characteristic, complemented
12C2×#10623060C211yesmaximal, characteristic, complemented
13C2×#10623239C211yesmaximal, characteristic, complemented
14C2×#10623170C211yesmaximal, characteristic, complemented
15C2×#10623026C211yesmaximal, characteristic, complemented
16C2×#10623026C211yesmaximal, characteristic, complemented
17C2×#10623065C211yesmaximal, characteristic, complemented
18C2×#10623213C211yesmaximal, characteristic, complemented
19C2×#10623241C211yesmaximal, characteristic, complemented
20C2×#10623049C211yesmaximal, characteristic, complemented
21C2×#10623232C211yesmaximal, characteristic, complemented
22C2×#10623194C211yesmaximal, characteristic, complemented
23C2×#10623169C211yesmaximal, characteristic, complemented
24C2×#10623169C211yesmaximal, characteristic, complemented
25C2×#10623191C211yesmaximal, characteristic, complemented
26C2×#10623025C211yesmaximal, characteristic, complemented
27C2×#10623025C211yesmaximal, characteristic, complemented
28C2×#10623124C211yesmaximal, characteristic, complemented
29C2×#10623069C211yesmaximal, characteristic, complemented
30C2×#10623069C211yesmaximal, characteristic, complemented
31C2×#10623180C211yesmaximal, characteristic, complemented
32C2×C11×#551C211yesmaximal, characteristic, complemented
33C11×#551C22116yescomplemented
34C2×C11×#126C2211yescharacteristic
35C2×C11×#126C2211yescharacteristic
36C2×C11×#124C2211yescharacteristic
37C2×C11×#123C2211yescharacteristic
38C2×C11×#123C2211yescharacteristic
39C2×C11×#123C2211yescharacteristic
40C2×C11×C22⋊Q8C2211yescharacteristic
41C2×C11×C22⋊Q8C2211yescharacteristic
42C2×C11×#120C2211yescharacteristic
43C2×C4×D4×C11C2211yescharacteristic
44C2×C4×D4×C11C2211yescharacteristic
45C2×C11×#117C2211yescharacteristic
46C2×C11×#117C2211yescharacteristic
47C22×C11×C22⋊C4C2211yescharacteristic
48C22×C11×C22⋊C4C2211yescharacteristic
49C2×#67006C2211yescharacteristic
50C2×#67006C2211yescharacteristic
51C2×#67006C2211yescharacteristic
52C22×C22⋊Dic11C2211yescharacteristic
53C2×#66999C2211yescharacteristic, complemented
54C2×#66999C2211yescharacteristic, complemented
55C2×#66999C2211yescharacteristic, complemented
56C2×Q8×Dic11C2211yescharacteristic, complemented
57C2×#66993C2211yescharacteristic
58C2×#66992C2211yescharacteristic
59C2×#66992C2211yescharacteristic
60C2×#66992C2211yescharacteristic
61C2×#66992C2211yescharacteristic
62C2×#66991C2211yescharacteristic
63C2×#66991C2211yescharacteristic
64C2×#66991C2211yescharacteristic
65C2×#66989C2211yescharacteristic
66C2×#66988C2211yescharacteristic
67C2×#66988C2211yescharacteristic
68C2×D4×Dic11C2211yescharacteristic
69C2×#66983C2211yescharacteristic
70C2×#66983C2211yescharacteristic
71C2×#66982C2211yescharacteristic
72C2×#66982C2211yescharacteristic
73C2×#66982C2211yescharacteristic, complemented
74C2×C4×C22⋊D11C2211yescharacteristic
75C2×C4×C22⋊D11C2211yescharacteristic
76C2×C4×C22⋊D11C2211yescharacteristic
77C2×C4×C22⋊D11C2211yescharacteristic
78C2×C4×C22⋊D11C2211yescharacteristic
79C2×C4×C22⋊D11C2211yescharacteristic
80C2×C4×C22⋊D11C2211yescharacteristic, complemented
81C2×C4×C22⋊D11C2211yescharacteristic, complemented
82C2×#66979C2211yescharacteristic
83C2×#66979C2211yescharacteristic
84C2×#66977C2211yescharacteristic
85C2×#66977C2211yescharacteristic
86C2×#66977C2211yescharacteristic
87C2×#66977C2211yescharacteristic
88C22×C4×Dic11C2211yescharacteristic, complemented
89#10623241C22116yescomplemented
90#10623240C22116yescomplemented
91#10623239C22116yescomplemented
92#10623232C22116yescomplemented
93#10623215C22116yescomplemented
94#10623213C22116yescomplemented
95#10623198C22116yescomplemented
96#10623194C22116yescomplemented
97#10623192C22116yescomplemented
98#10623191C22116yescomplemented
99#10623182C22116yescomplemented
100#10623180C22116yescomplemented
101#10623172C22116yescomplemented
102#10623170C22116yescomplemented
103#10623169C22116yescomplemented
104#10623169C22116yescomplemented
105#10623126C22116yescomplemented
106#10623124C22116yescomplemented
107#10623090C22116yescomplemented
108#10623089C22116yescomplemented
109#10623069C22116yescomplemented
110#10623069C22116yescomplemented
111#10623065C22116yescomplemented
112#10623063C22116yescomplemented
113#10623060C22116yescomplemented
114#10623049C22116yescomplemented
115C2×#66951C2211yescharacteristic, complemented
116C2×#66951C2211yescharacteristic, complemented
117C2×#66951C2211yescharacteristic, complemented
118C2×#66951C2211yescharacteristic, complemented
119C2×#66950C2211yescharacteristic, complemented
120C2×#66949C2211yescharacteristic, complemented
121C2×#66949C2211yescharacteristic, complemented
122C2×#66948C2211yescharacteristic, complemented
123C2×#66947C2211yescharacteristic, complemented
124C2×#66947C2211yescharacteristic, complemented
125C2×#66946C2211yescharacteristic, complemented
126C2×#66946C2211yescharacteristic, complemented
127C2×#66945C2211yescharacteristic, complemented
128C2×#66945C2211yescharacteristic, complemented
129C2×#66945C2211yescharacteristic, complemented
130C2×C4⋊C4×D11C2211yescharacteristic, complemented
131C2×C4⋊C4×D11C2211yescharacteristic, complemented
132C2×C4⋊C4×D11C2211yescharacteristic, complemented
133C2×#66943C2211yescharacteristic, complemented
134C2×#66943C2211yescharacteristic, complemented
135C2×#66942C2211yescharacteristic, complemented
136C2×#66942C2211yescharacteristic, complemented
137C2×#66942C2211yescharacteristic, complemented
138C2×#66942C2211yescharacteristic, complemented
139C2×#66942C2211yescharacteristic, complemented
140C2×#66942C2211yescharacteristic, complemented
141C2×#66942C2211yescharacteristic, complemented
142C2×#66942C2211yescharacteristic, complemented
143C2×#66941C2211yescharacteristic, complemented
144C2×#66941C2211yescharacteristic, complemented
145C2×#66940C2211yescharacteristic, complemented
146C2×#66940C2211yescharacteristic, complemented
147#10623026C22116yescomplemented
148#10623026C22116yescomplemented
149#10623025C22116yescomplemented
150#10623025C22116yescomplemented
151C2×#66939C2211yescharacteristic
152C2×#66939C2211yescharacteristic
153C2×#66939C2211yescharacteristic, complemented
154C2×#66939C2211yescharacteristic, complemented
155C2×#66938C2211yescharacteristic
156C2×#66938C2211yescharacteristic
157C2×#66938C2211yescharacteristic
158C2×#66938C2211yescharacteristic
159C2×#66938C2211yescharacteristic
160C2×#66938C2211yescharacteristic
161C2×#66938C2211yescharacteristic
162C2×#66938C2211yescharacteristic, complemented
163C2×#66937C2211yescharacteristic
164C2×#66937C2211yescharacteristic
165C2×#66937C2211yescharacteristic
166C2×#66937C2211yescharacteristic
167C2×#66937C2211yescharacteristic
168C2×#66937C2211yescharacteristic
169C2×#66937C2211yescharacteristic, complemented
170C2×#66937C2211yescharacteristic, complemented
171C2×#66936C2211yescharacteristic
172C2×#66936C2211yescharacteristic
173C2×#66936C2211yescharacteristic
174C2×#66936C2211yescharacteristic
175C2×#66936C2211yescharacteristic
176C2×#66936C2211yescharacteristic
177C2×#66936C2211yescharacteristic
178C2×#66936C2211yescharacteristic
179C2×#66936C2211yescharacteristic
180C2×#66936C2211yescharacteristic, complemented
181C2×(C22⋊D11)⋊C4C2211yescharacteristic
182C2×(C22⋊D11)⋊C4C2211yescharacteristic
183C2×(C22⋊D11)⋊C4C2211yescharacteristic
184C2×(C22⋊D11)⋊C4C2211yescharacteristic, complemented
185C2×#66932C2211yescharacteristic
186C2×#66932C2211yescharacteristic
187C2×#66932C2211yescharacteristic
188C2×#66932C2211yescharacteristic
189C2×#66932C2211yescharacteristic
190C2×#66932C2211yescharacteristic
191C2×#66932C2211yescharacteristic
192C2×#66932C2211yescharacteristic
193C2×#66932C2211yescharacteristic
194C2×#66932C2211yescharacteristic
195C2×#66932C2211yescharacteristic
196C2×#66932C2211yescharacteristic
197C2×#66932C2211yescharacteristic, complemented
198C2×#66932C2211yescharacteristic, complemented
199C2×#66931C2211yescharacteristic
200C2×#66931C2211yescharacteristic
201C2×#66931C2211yescharacteristic
202C2×#66931C2211yescharacteristic, complemented
203C2×#66931C2211yescharacteristic, complemented
204C2×#66931C2211yescharacteristic, complemented
205C2×#66930C2211yescharacteristic
206C2×#66930C2211yescharacteristic
207C2×#66928C2211yescharacteristic, complemented
208C2×#66928C2211yescharacteristic, complemented
209C2×C4×D44C2211yescharacteristic, complemented
210C2×#66925C2211yescharacteristic, complemented
211C2×#66925C2211yescharacteristic, complemented
212C2×#66925C2211yescharacteristic, complemented
213C2×#66923C2211yescharacteristic, complemented
214C2×#66923C2211yescharacteristic, complemented
215C2×#66922C2211yescharacteristic, complemented
216C2×C4×Dic22C2211yescharacteristic, complemented
217C2×C4×Dic22C2211yescharacteristic, complemented
218C2×C4×Dic22C2211yescharacteristic, complemented
219C25×C11C2311yescharacteristic
220C22×Q8×C11C2311yescharacteristic
221C22×D4×C11C2311yescharacteristic
222C22×D4×C11C2311yescharacteristic
223C22×D4×C11C2311yescharacteristic
224C23×C4×C11C2311yescharacteristic
225C23×C4×C11C2311yescharacteristic
226C23×C4×C11C2311yescharacteristic
227C23×C4×C11C2311yescharacteristic
228C23×C4×C11C2311yescharacteristic
229C22×C22⋊D11C2311yescharacteristic
230C22×C22⋊D11C2311yescharacteristic
231C22×C22⋊D11C2311yescharacteristic
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
241C23×Dic11C2311yescharacteristic
242C23×Dic11C2311yescharacteristic
243C23×Dic11C2311yescharacteristic
244C23×Dic11C2311yescharacteristic
245C22×D44C2311yescharacteristic
246C22×D44C2311yescharacteristic
247C22×D44C2311yescharacteristic
248C22×C4×D11C2311yescharacteristic
249C22×C4×D11C2311yescharacteristic
250C22×C4×D11C2311yescharacteristic
251C22×C4×D11C2311yescharacteristic
252C22×C4×D11C2311yescharacteristic
253C22×C4×D11C2311yescharacteristic
254C22×C4×D11C2311yescharacteristic
255C22×C4×D11C2311yescharacteristic
256C22×C4×D11C2311yescharacteristic
257C22×Dic22C2311yescharacteristic
258C22×Dic22C2311yescharacteristic
259C22×Dic22C2311yescharacteristic
260C22×Dic22C2311yescharacteristic
261C22×Dic22C2311yescharacteristic
262C11×#126C2318yes—
263C11×#126C2318yes—
264C11×#124C2318yes—
265C11×#123C2318yes—
266C11×#123C2318yes—
267C11×#123C2318yes—
268C11×C22⋊Q8C2318yes—
269C11×C22⋊Q8C2318yes—
270C11×#120C2318yes—
271C4×D4×C11C2318yes—
272C4×D4×C11C2318yes—
273C11×#117C2318yes—
274C11×#117C2318yes—
275C2×C11×C4⋊C4C2311yescharacteristic
276C2×C11×C4⋊C4C2311yescharacteristic
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×C11×C22⋊C4C2311yescharacteristic
296C2×C11×C22⋊C4C2311yescharacteristic
297C2×C11×C22⋊C4C2318yes—
298C2×C11×C22⋊C4C2318yes—
299C2×C42×C11C2311yescharacteristic
300C2×C42×C11C2311yescharacteristic
301C2×C42×C11C2311yescharacteristic
302#67006C2318yes—
303#67006C2318yes—
304#67006C2318yes—
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
314C2×C22⋊Dic11C2311yescharacteristic
315C2×C22⋊Dic11C2311yescharacteristic
316C2×C22⋊Dic11C2311yescharacteristic
317C2×C22⋊Dic11C2311yescharacteristic
318C2×C22⋊Dic11C2311yescharacteristic
319C2×C22⋊Dic11C2311yescharacteristic
320C2×C22⋊Dic11C2311yescharacteristic
321C2×C22⋊Dic11C2318yes—
322#66999C2318yescomplemented
323#66999C2318yescomplemented
324#66999C2318yescomplemented
325Q8×Dic11C2318yescomplemented
326#66993C2318yes—
327#66992C2318yes—
328#66992C2318yes—
329#66992C2318yes—
330#66992C2318yes—
331#66991C2318yes—
332#66991C2318yes—
333#66991C2318yes—
334#66989C2318yes—
335#66988C2318yes—
336#66988C2318yes—
337D4×Dic11C2318yes—
338#66983C2318yes—
339#66983C2318yes—
340#66982C2318yes—
341#66982C2318yes—
342#66982C2318yescomplemented
343C4×C22⋊D11C2318yes—
344C4×C22⋊D11C2318yes—
345C4×C22⋊D11C2318yes—
346C4×C22⋊D11C2318yes—
347C4×C22⋊D11C2318yes—
348C4×C22⋊D11C2318yes—
349C4×C22⋊D11C2318yescomplemented
350C4×C22⋊D11C2318yescomplemented
351C2×(C2×D11)⋊C4C2311yescharacteristic
352C2×(C2×D11)⋊C4C2311yescharacteristic
353C2×(C2×D11)⋊C4C2311yescharacteristic
354C2×(C2×D11)⋊C4C2311yescharacteristic
355C2×(C2×D11)⋊C4C2311yescharacteristic
356C2×(C2×D11)⋊C4C2311yescharacteristic
357C2×(C2×D11)⋊C4C2311yescharacteristic
358C2×(C2×D11)⋊C4C2311yescharacteristic
359C2×(C2×D11)⋊C4C2311yescharacteristic
360C2×(C2×D11)⋊C4C2311yescharacteristic
361C2×(C2×D11)⋊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
369#66979C2318yes—
370#66979C2318yes—
371C2×C4⋊Dic11C2311yescharacteristic
372C2×C4⋊Dic11C2311yescharacteristic
373C2×C4⋊Dic11C2311yescharacteristic
374C2×C4⋊Dic11C2311yescharacteristic
375C2×C4⋊Dic11C2311yescharacteristic
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
385#66977C2318yes—
386#66977C2318yes—
387#66977C2318yes—
388#66977C2318yes—
389C2×Dic11⋊C4C2311yescharacteristic
390C2×Dic11⋊C4C2311yescharacteristic
391C2×Dic11⋊C4C2311yescharacteristic
392C2×Dic11⋊C4C2311yescharacteristic
393C2×Dic11⋊C4C2311yescharacteristic
394C2×Dic11⋊C4C2311yescharacteristic
395C2×Dic11⋊C4C2311yescharacteristic
396C2×Dic11⋊C4C2311yescharacteristic
397C2×Dic11⋊C4C2311yescharacteristic
398C2×Dic11⋊C4C2311yescharacteristic
399C2×Dic11⋊C4C2311yescharacteristic
400C2×Dic11⋊C4C2311yescharacteristic
401C2×Dic11⋊C4C2311yescharacteristic
402C2×Dic11⋊C4C2311yescharacteristic
403C2×Dic11⋊C4C2311yescharacteristic
404C2×Dic11⋊C4C2311yescharacteristic
405C2×Dic11⋊C4C2311yescharacteristic
406C2×Dic11⋊C4C2311yescharacteristic
407C2×Dic11⋊C4C2311yescharacteristic
408C2×Dic11⋊C4C2311yescharacteristic
409C2×Dic11⋊C4C2311yescharacteristic
410C2×Dic11⋊C4C2311yescharacteristic
411C2×Dic11⋊C4C2311yescharacteristic
412C2×Dic11⋊C4C2311yescharacteristic
413C2×Dic11⋊C4C2311yescharacteristic
414C2×Dic11⋊C4C2311yescharacteristic
415C2×C4×Dic11C2311yescharacteristic
416C2×C4×Dic11C2311yescharacteristic
417C2×C4×Dic11C2311yescharacteristic
418C2×C4×Dic11C2311yescharacteristic
419C2×C4×Dic11C2311yescharacteristic
420C2×C4×Dic11C2311yescharacteristic
421C2×C4×Dic11C2311yescharacteristic
422C2×C4×Dic11C2311yescharacteristic
423C2×C4×Dic11C2311yescharacteristic
424C2×C4×Dic11C2311yescharacteristic
425C2×C4×Dic11C2311yescharacteristic
426C2×C4×Dic11C2311yescharacteristic
427C2×C4×Dic11C2311yescharacteristic
428C2×C4×Dic11C2318yescomplemented
429#66951C2318yescomplemented
430#66951C2318yescomplemented
431#66951C2318yescomplemented
432#66951C2318yescomplemented
433#66950C2318yescomplemented
434#66949C2318yescomplemented
435#66949C2318yescomplemented
436#66948C2318yescomplemented
437#66947C2318yescomplemented
438#66947C2318yescomplemented
439#66946C2318yescomplemented
440#66946C2318yescomplemented
441#66945C2318yescomplemented
442#66945C2318yescomplemented
443#66945C2318yescomplemented
444C4⋊C4×D11C2318yescomplemented
445C4⋊C4×D11C2318yescomplemented
446C4⋊C4×D11C2318yescomplemented
447#66943C2318yescomplemented
448#66943C2318yescomplemented
449#66942C2318yescomplemented
450#66942C2318yescomplemented
451#66942C2318yescomplemented
452#66942C2318yescomplemented
453#66942C2318yescomplemented
454#66942C2318yescomplemented
455#66942C2318yescomplemented
456#66942C2318yescomplemented
457#66941C2318yescomplemented
458#66941C2318yescomplemented
459#66940C2318yescomplemented
460#66940C2318yescomplemented
461#66939C2318yes—
462#66939C2318yes—
463#66939C2318yescomplemented
464#66939C2318yescomplemented
465#66938C2318yes—
466#66938C2318yes—
467#66938C2318yes—
468#66938C2318yes—
469#66938C2318yes—
470#66938C2318yes—
471#66938C2318yes—
472#66938C2318yescomplemented
473#66937C2318yes—
474#66937C2318yes—
475#66937C2318yes—
476#66937C2318yes—
477#66937C2318yes—
478#66937C2318yes—
479#66937C2318yescomplemented
480#66937C2318yescomplemented
481#66936C2318yes—
482#66936C2318yes—
483#66936C2318yes—
484#66936C2318yes—
485#66936C2318yes—
486#66936C2318yes—
487#66936C2318yes—
488#66936C2318yes—
489#66936C2318yes—
490#66936C2318yescomplemented
491(C22⋊D11)⋊C4C2318yes—
492(C22⋊D11)⋊C4C2318yes—
493(C22⋊D11)⋊C4C2318yes—
494(C22⋊D11)⋊C4C2318yescomplemented
495#66932C2318yes—
496#66932C2318yes—
497#66932C2318yes—
498#66932C2318yes—
499#66932C2318yes—
500#66932C2318yes—
501#66932C2318yes—
502#66932C2318yes—
503#66932C2318yes—
504#66932C2318yes—
505#66932C2318yes—
506#66932C2318yes—
507#66932C2318yescomplemented
508#66932C2318yescomplemented
509#66931C2318yes—
510#66931C2318yes—
511#66931C2318yes—
512#66931C2318yescomplemented
513#66931C2318yescomplemented
514#66931C2318yescomplemented
515#66930C2318yes—
516#66930C2318yes—
517#66928C2318yescomplemented
518#66928C2318yescomplemented
519C4×D44C2318yescomplemented
520#66925C2318yescomplemented
521#66925C2318yescomplemented
522#66925C2318yescomplemented
523#66923C2318yescomplemented
524#66923C2318yescomplemented
525#66922C2318yescomplemented
526C4×Dic22C2318yescomplemented
527C4×Dic22C2318yescomplemented
528C4×Dic22C2318yescomplemented
529C2×#3566—111nomaximal, Sylow
530C24×C11—42no—
531C24×C11—42no—
532C24×C11—42no—
533C24×C11C2411yescharacteristic
534C24×C11C2411yescharacteristic
535C24×C11C2411yescharacteristic
536C24×C11C2411yescharacteristic
537C24×C11C2414yes—
538C23×D11C2411yescharacteristic
539C23×D11C2411yescharacteristic
540C23×D11C2411yescharacteristic
541C2×Q8×C11—42no—
542C2×Q8×C11C2414yes—
543C2×D4×C11—42no—
544C2×D4×C11—42no—
545C2×D4×C11—42no—
546C2×D4×C11C2414yes—
547C2×D4×C11C2414yes—
548C2×D4×C11C2414yes—
549C22×C4×C11—42no—
550C22×C4×C11—42no—
551C22×C4×C11—42no—
552C22×C4×C11—42no—
553C22×C4×C11—42no—
554C22×C4×C11C2411yescharacteristic
555C22×C4×C11C2411yescharacteristic
556C22×C4×C11C2411yescharacteristic
557C22×C4×C11C2411yescharacteristic
558C22×C4×C11C2411yescharacteristic
559C22×C4×C11C2411yescharacteristic
560C22×C4×C11C2411yescharacteristic
561C22×C4×C11C2411yescharacteristic
562C22×C4×C11C2411yescharacteristic
563C22×C4×C11C2411yescharacteristic
564C22×C4×C11C2411yescharacteristic
565C22×C4×C11C2414yes—
566C22×C4×C11C2414yes—
567C22×C4×C11C2414yes—
568C22×C4×C11C2414yes—
569C22×C4×C11C2414yes—
570C2×C22⋊D11—42no—
571C2×C22⋊D11—42no—
572C2×C22⋊D11—42no—
573C2×C22⋊D11—42no—
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⋊D11—42no—
581C2×C22⋊D11—42no—
582C2×C22⋊D11C2414yes—
583C2×C22⋊D11C2414yes—
584C2×C22⋊D11C2414yes—
585C2×C22⋊D11C2414yes—
586C2×C22⋊D11C2414yes—
587C2×C22⋊D11C2414yes—
588C2×C22⋊D11C2414yes—
589C2×C22⋊D11C2414yes—
590C2×C22⋊D11C2414yes—
591C2×C22⋊D11C2414yes—
592C2×C22⋊D11C2414yes—
593C2×C22⋊D11C2414yes—
594C22×Dic11—42no—
595C22×Dic11—42no—
596C22×Dic11—42no—
597C22×Dic11—42no—
598C22×Dic11C2411yescharacteristic
599C22×Dic11C2411yescharacteristic
600C22×Dic11C2411yescharacteristic
601C22×Dic11C2411yescharacteristic
602C22×Dic11C2411yescharacteristic
603C22×Dic11C2411yescharacteristic
604C22×Dic11C2411yescharacteristic
605C22×Dic11C2411yescharacteristic
606C22×Dic11C2411yescharacteristic
607C22×Dic11C2411yescharacteristic
608C22×Dic11C2411yescharacteristic
609C22×Dic11C2411yescharacteristic
610C22×Dic11C2411yescharacteristic
611C22×Dic11C2414yes—
612C22×Dic11C2414yes—
613C22×Dic11C2414yes—
614C22×Dic11C2414yes—
615C2×D44—42no—
616C2×D44—42no—
617C2×D44—42no—
618C2×D44C2414yes—
619C2×D44C2414yes—
620C2×D44C2414yes—
621C2×C4×D11—42no—
622C2×C4×D11—42no—
623C2×C4×D11—42no—
624C2×C4×D11—42no—
625C2×C4×D11—42no—
626C2×C4×D11—42no—
627C2×C4×D11—42no—
628C2×C4×D11—42no—
629C2×C4×D11—42no—
630C2×C4×D11C2414yes—
631C2×C4×D11C2414yes—
632C2×C4×D11C2414yes—
633C2×C4×D11C2414yes—
634C2×C4×D11C2414yes—
635C2×C4×D11C2414yes—
636C2×C4×D11C2414yes—
637C2×C4×D11C2414yes—
638C2×C4×D11C2414yes—
639C2×Dic22—42no—
640C2×Dic22—42no—
641C2×Dic22—42no—
642C2×Dic22—42no—
643C2×Dic22—42no—
644C2×Dic22C2414yes—
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×C4⋊C4C2414yes—
656C11×C4⋊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—
667C11×C22⋊C4C2414yes—
668C11×C22⋊C4C2414yes—
669C11×C22⋊C4C2414yes—
670C11×C22⋊C4C2414yes—
671C42×C11C2414yes—
672C42×C11C2414yes—
673C42×C11C2414yes—
674C22⋊Dic11C2414yes—
675C22⋊Dic11C2414yes—
676C22⋊Dic11C2414yes—
677C22⋊Dic11C2414yes—
678C22⋊Dic11C2414yes—
679C22⋊Dic11C2414yes—
680C22⋊Dic11C2414yes—
681C22⋊Dic11C2414yes—
682C22⋊Dic11C2414yes—
683C22⋊Dic11C2414yes—
684C22⋊Dic11C2414yes—
685C22⋊Dic11C2414yes—
686C22⋊Dic11C2414yes—
687C22⋊Dic11C2414yes—
688C22⋊Dic11C2414yes—
689C22⋊Dic11C2414yes—
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—
720C4⋊Dic11C2414yes—
721C4⋊Dic11C2414yes—
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—
748C4×Dic11C2414yes—
749C4×Dic11C2414yes—
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×#555—111no—
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×#551D1111yescharacteristic, complemented
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×C11—44no—
806C23×C11—44no—
807C23×C11—44no—
808C23×C11—88no—
809C23×C11C2512yes—
810C23×C11C2512yes—
811C23×C11C2512yes—
812C23×C11C2512yes—
813C23×C11C2511yescharacteristic
814C22×D11—22no—
815C22×D11—22no—
816C22×D11—22no—
817C22×D11—22no—
818C22×D11—22no—
819C22×D11—22no—
820C22×D11—22no—
821C22×D11—22no—
822C22×D11—22no—
823C22×D11C2512yes—
824C22×D11C2512yes—
825C22×D11C2512yes—
826Q8×C11—44no—
827D4×C11—44no—
828D4×C11—44no—
829D4×C11—44no—
830C2×C4×C11—22no—
831C2×C4×C11—22no—
832C2×C4×C11—22no—
833C2×C4×C11—22no—
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—44no—
842C2×C4×C11—44no—
843C2×C4×C11—44no—
844C2×C4×C11—44no—
845C2×C4×C11—44no—
846C2×C4×C11C2512yes—
847C2×C4×C11C2512yes—
848C2×C4×C11C2512yes—
849C2×C4×C11C2512yes—
850C2×C4×C11C2512yes—
851C2×C4×C11C2512yes—
852C2×C4×C11C2512yes—
853C2×C4×C11C2512yes—
854C2×C4×C11C2512yes—
855C2×C4×C11C2512yes—
856C2×C4×C11C2512yes—
857C22⋊D11—44no—
858C22⋊D11—44no—
859C22⋊D11—44no—
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—
869C2×Dic11—22no—
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—44no—
883C2×Dic11—44no—
884C2×Dic11—44no—
885C2×Dic11—44no—
886C2×Dic11C2512yes—
887C2×Dic11C2512yes—
888C2×Dic11C2512yes—
889C2×Dic11C2512yes—
890C2×Dic11C2512yes—
891C2×Dic11C2512yes—
892C2×Dic11C2512yes—
893C2×Dic11C2512yes—
894C2×Dic11C2512yes—
895C2×Dic11C2512yes—
896C2×Dic11C2512yes—
897C2×Dic11C2512yes—
898C2×Dic11C2512yes—
899D44—44no—
900D44—44no—
901D44—44no—
902C4×D11—44no—
903C4×D11—44no—
904C4×D11—44no—
905C4×D11—44no—
906C4×D11—44no—
907C4×D11—44no—
908C4×D11—44no—
909C4×D11—44no—
910C4×D11—44no—
911Dic22—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#555—1116no—
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#551C2×D11116yescomplemented
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⋊Q8—111no—
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×#126C2×D1111yescharacteristic
970C2×#126C2×D1111yescharacteristic
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×#124—111no—
992C2×#124—111no—
993C2×#124—111no—
994C2×#124C2×D1111yescharacteristic
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×#123C2×D1111yescharacteristic
1017C2×#123C2×D1111yescharacteristic
1018C2×#123C2×D1111yescharacteristic
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⋊Q8C2×D1111yescharacteristic
1036C2×C22⋊Q8C2×D1111yescharacteristic
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×#121—111no—
1052C2×#121—111no—
1053C2×#121—111no—
1054C2×#121—111no—
1055C2×#120—111no—
1056C2×#120—111no—
1057C2×#120—111no—
1058C2×#120C2×D1111yescharacteristic
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
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×#117—111no—
1092C2×#117—111no—
1093C2×#117C2×D1111yescharacteristic
1094C2×#117C2×D1111yescharacteristic
1095C22×C4⋊C4—111no—
1096C22×C4⋊C4—111no—
1097C22×C4⋊C4—111no—
1098C22×C22⋊C4—111no—
1099C22×C22⋊C4C2×D1111yescharacteristic
1100C22×C22⋊C4C2×D1111yescharacteristic
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—88no—
1119C22×C11#58512yes—
1120C22×C11#58512yes—
1121C22×C11#58512yes—
1122C22×C11C2611yescharacteristic
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—22no—
1132C2×D11—44no—
1133C2×D11—44no—
1134C2×D11—44no—
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—
1159C25C22×D1111yescharacteristic
1160C22×Q8—111no—
1161C22×Q8—111no—
1162C22×Q8—111no—
1163C22×Q8—111no—
1164C22×Q8—111no—
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×D4—111no—
1179C22×D4—111no—
1180C22×D4—111no—
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×C4C22×D1111yescharacteristic
1198C23×C4C22×D1111yescharacteristic
1199C23×C4C22×D1111yescharacteristic
1200C23×C4C22×D1111yescharacteristic
1201C23×C4C22×D1111yescharacteristic
1202C4⋊Q8—118no—
1203C4⋊Q8—118no—
1204C4⋊Q8—118no—
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#126C22×D1118yes—
1225#126C22×D1118yes—
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#124—118no—
1247#124—118no—
1248#124—118no—
1249#124C22×D1118yes—
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#123C22×D1118yes—
1272#123C22×D1118yes—
1273#123C22×D1118yes—
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⋊Q8C22×D1118yes—
1291C22⋊Q8C22×D1118yes—
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#121—118no—
1307#121—118no—
1308#121—118no—
1309#121—118no—
1310#120—118no—
1311#120—118no—
1312#120—118no—
1313#120C22×D1118yes—
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×D1118yes—
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#117—118no—
1347#117—118no—
1348#117C22×D1118yes—
1349#117C22×D1118yes—
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—111no—
1363C2×C4⋊C4—111no—
1364C2×C4⋊C4—111no—
1365C2×C4⋊C4—111no—
1366C2×C4⋊C4—111no—
1367C2×C4⋊C4—111no—
1368C2×C4⋊C4—111no—
1369C2×C4⋊C4—111no—
1370C2×C4⋊C4—111no—
1371C2×C4⋊C4—111no—
1372C2×C4⋊C4—111no—
1373C2×C4⋊C4—111no—
1374C2×C4⋊C4—111no—
1375C2×C4⋊C4—111no—
1376C2×C4⋊C4—111no—
1377C2×C4⋊C4—111no—
1378C2×C4⋊C4—111no—
1379C2×C4⋊C4—111no—
1380C2×C4⋊C4—111no—
1381C2×C4⋊C4—111no—
1382C2×C4⋊C4—111no—
1383C2×C4⋊C4—111no—
1384C2×C4⋊C4—111no—
1385C2×C4⋊C4—111no—
1386C2×C4⋊C4—111no—
1387C2×C4⋊C4—111no—
1388C2×C4⋊C4—111no—
1389C2×C4⋊C4—111no—
1390C2×C4⋊C4—118no—
1391C2×C4⋊C4—118no—
1392C2×C4⋊C4—118no—
1393C2×C4⋊C4C22×D1111yescharacteristic
1394C2×C4⋊C4C22×D1111yescharacteristic
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—118no—
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—111no—
1424C2×C22⋊C4—111no—
1425C2×C22⋊C4—111no—
1426C2×C22⋊C4—111no—
1427C2×C22⋊C4—111no—
1428C2×C22⋊C4—111no—
1429C2×C22⋊C4—111no—
1430C2×C22⋊C4—111no—
1431C2×C22⋊C4—111no—
1432C2×C22⋊C4—111no—
1433C2×C22⋊C4—111no—
1434C2×C22⋊C4—111no—
1435C2×C22⋊C4—111no—
1436C2×C22⋊C4C22×D1111yescharacteristic
1437C2×C22⋊C4C22×D1111yescharacteristic
1438C2×C22⋊C4C22×D1111yescharacteristic
1439C2×C22⋊C4C22×D1111yescharacteristic
1440C2×C22⋊C4C22×D1111yescharacteristic
1441C2×C22⋊C4C22×D1111yescharacteristic
1442C2×C22⋊C4C22×D1111yescharacteristic
1443C2×C22⋊C4C22×D1111yescharacteristic
1444C2×C22⋊C4C22×D1118yes—
1445C2×C22⋊C4C22×D1118yes—
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—111no—
1464C2×C42—111no—
1465C2×C42—118no—
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—42no—
1481C24—42no—
1482C24—42no—
1483C24—111no—
1484C24—111no—
1485C24—111no—
1486C24C23×D1111yescharacteristic
1487C24C23×D1111yescharacteristic
1488C24C23×D1111yescharacteristic
1489C24C23×D1111yescharacteristic
1490C24C23×D1114yes—
1491C2×Q8—42no—
1492C2×Q8—114no—
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×Q8—442no—
1502C2×Q8C23×D1114yes—
1503C2×D4—42no—
1504C2×D4—42no—
1505C2×D4—42no—
1506C2×D4—114no—
1507C2×D4—114no—
1508C2×D4—114no—
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×D4—442no—
1534C2×D4—442no—
1535C2×D4—442no—
1536C2×D4C23×D1114yes—
1537C2×D4C23×D1114yes—
1538C2×D4C23×D1114yes—
1539C22×C4—42no—
1540C22×C4—42no—
1541C22×C4—42no—
1542C22×C4—42no—
1543C22×C4—42no—
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—111no—
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×C4C23×D1111yescharacteristic
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×D1114yes—
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⋊C4C23×D1114yes—
1640C4⋊C4C23×D1114yes—
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⋊C4C23×D1114yes—
1682C22⋊C4C23×D1114yes—
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—
1706C42—114no—
1707C42—114no—
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—44no—
1725C23—44no—
1726C23—44no—
1727C23—88no—
1728C23—112no—
1729C23—112no—
1730C23—112no—
1731C23—222no—
1732C23—222no—
1733C23—222no—
1734C23—222no—
1735C23—222no—
1736C23—222no—
1737C23—222no—
1738C23—222no—
1739C23—222no—
1740C23C24×D1112yes—
1741C23C24×D1112yes—
1742C23C24×D1112yes—
1743C23C24×D1112yes—
1744C23C24×D1111yescharacteristic
1745Q8—44no—
1746Q8—444no—
1747Q8—444no—
1748Q8—444no—
1749Q8—444no—
1750Q8—444no—
1751D4—44no—
1752D4—44no—
1753D4—44no—
1754D4—444no—
1755D4—444no—
1756D4—444no—
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—44no—
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—112no—
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—222no—
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—88no—
1852C22—222no—
1853C22—222no—
1854C22—222no—
1855C22—222no—
1856C22—222no—
1857C22—222no—
1858C22—222no—
1859C22—222no—
1860C22—222no—
1861C22—444no—
1862C22—444no—
1863C22—444no—
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#1308327714yesdirect product factor
1900C2C2×#1062345511yescharacteristic
1901C2C2×#1062345311yescharacteristic
1902C2C2×#1062345311yescharacteristic
subgroupG/H
centerC23C24×D11
commutator, cosocleC22×C11C26
FrattiniC22C25×D11
FittingC2×C11×#551C2
socleC23×C11C25
hypercenterC2×#551D11
hypocenterC11C2×#3566
LCSG ▷ C22×C11 ▷ C11
UCSC1 ◁ C23 ◁ C2×#551

Complements

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

NH ≅ G/Ntype
1. #13083277C2direct (N × H)
2. C2×#10623182C2semidirect
3. C2×#10623198C2semidirect
4. C2×#10623215C2semidirect
5. C2×#10623126C2semidirect
6. C2×#10623090C2semidirect
7. C2×#10623172C2semidirect
8. C2×#10623063C2semidirect
9. C2×#10623240C2semidirect
10. C2×#10623089C2semidirect
11. C2×#10623192C2semidirect
12. C2×#10623060C2semidirect
13. C2×#10623239C2semidirect
14. C2×#10623170C2semidirect
15. C2×#10623026C2semidirect
16. C2×#10623026C2semidirect
17. C2×#10623065C2semidirect
18. C2×#10623213C2semidirect
19. C2×#10623241C2semidirect
20. C2×#10623049C2semidirect
21. C2×#10623232C2semidirect
22. C2×#10623194C2semidirect
23. C2×#10623169C2semidirect
24. C2×#10623169C2semidirect
25. C2×#10623191C2semidirect
26. C2×#10623025C2semidirect
27. C2×#10623025C2semidirect
28. C2×#10623124C2semidirect
29. C2×#10623069C2semidirect
30. C2×#10623069C2semidirect
31. C2×#10623180C2semidirect
32. C2×C11×#551C2semidirect
33. C11×#551C22semidirect
53. C2×#66999C22semidirect
54. C2×#66999C22semidirect
55. C2×#66999C22semidirect
56. C2×Q8×Dic11C22semidirect
73. C2×#66982C22semidirect
80. C2×C4×C22⋊D11C22semidirect
81. C2×C4×C22⋊D11C22semidirect
88. C22×C4×Dic11C22semidirect
89. #10623241C22semidirect
90. #10623240C22semidirect
91. #10623239C22semidirect
92. #10623232C22semidirect
93. #10623215C22semidirect
94. #10623213C22semidirect
95. #10623198C22semidirect
96. #10623194C22semidirect
97. #10623192C22semidirect
98. #10623191C22semidirect
99. #10623182C22semidirect
100. #10623180C22semidirect
101. #10623172C22semidirect
102. #10623170C22semidirect
103. #10623169C22semidirect
104. #10623169C22semidirect
105. #10623126C22semidirect
106. #10623124C22semidirect
107. #10623090C22semidirect
108. #10623089C22semidirect
109. #10623069C22semidirect
110. #10623069C22semidirect
111. #10623065C22semidirect
112. #10623063C22semidirect
113. #10623060C22semidirect
114. #10623049C22semidirect
115. C2×#66951C22semidirect
116. C2×#66951C22semidirect
117. C2×#66951C22semidirect
118. C2×#66951C22semidirect
119. C2×#66950C22semidirect
120. C2×#66949C22semidirect
121. C2×#66949C22semidirect
122. C2×#66948C22semidirect
123. C2×#66947C22semidirect
124. C2×#66947C22semidirect
125. C2×#66946C22semidirect
126. C2×#66946C22semidirect
127. C2×#66945C22semidirect
128. C2×#66945C22semidirect
129. C2×#66945C22semidirect
130. C2×C4⋊C4×D11C22semidirect
131. C2×C4⋊C4×D11C22semidirect
132. C2×C4⋊C4×D11C22semidirect
133. C2×#66943C22semidirect
134. C2×#66943C22semidirect
135. C2×#66942C22semidirect
136. C2×#66942C22semidirect
137. C2×#66942C22semidirect
138. C2×#66942C22semidirect
139. C2×#66942C22semidirect
140. C2×#66942C22semidirect
141. C2×#66942C22semidirect
142. C2×#66942C22semidirect
143. C2×#66941C22semidirect
144. C2×#66941C22semidirect
145. C2×#66940C22semidirect
146. C2×#66940C22semidirect
147. #10623026C22semidirect
148. #10623026C22semidirect
149. #10623025C22semidirect
150. #10623025C22semidirect
153. C2×#66939C22semidirect
154. C2×#66939C22semidirect
162. C2×#66938C22semidirect
169. C2×#66937C22semidirect
170. C2×#66937C22semidirect
180. C2×#66936C22semidirect
184. C2×(C22⋊D11)⋊C4C22semidirect
197. C2×#66932C22semidirect
198. C2×#66932C22semidirect
202. C2×#66931C22semidirect
203. C2×#66931C22semidirect
204. C2×#66931C22semidirect
207. C2×#66928C22semidirect
208. C2×#66928C22semidirect
209. C2×C4×D44C22semidirect
210. C2×#66925C22semidirect
211. C2×#66925C22semidirect
212. C2×#66925C22semidirect
213. C2×#66923C22semidirect
214. C2×#66923C22semidirect
215. C2×#66922C22semidirect
216. C2×C4×Dic22C22semidirect
217. C2×C4×Dic22C22semidirect
218. C2×C4×Dic22C22semidirect
322. #66999C23semidirect
323. #66999C23semidirect
324. #66999C23semidirect
325. Q8×Dic11C23semidirect
342. #66982C23semidirect
349. C4×C22⋊D11C23semidirect
350. C4×C22⋊D11C23semidirect
428. C2×C4×Dic11C23semidirect
429. #66951C23semidirect
430. #66951C23semidirect
431. #66951C23semidirect
432. #66951C23semidirect
433. #66950C23semidirect
434. #66949C23semidirect
435. #66949C23semidirect
436. #66948C23semidirect
437. #66947C23semidirect
438. #66947C23semidirect
439. #66946C23semidirect
440. #66946C23semidirect
441. #66945C23semidirect
442. #66945C23semidirect
443. #66945C23semidirect
444. C4⋊C4×D11C23semidirect
445. C4⋊C4×D11C23semidirect
446. C4⋊C4×D11C23semidirect
447. #66943C23semidirect
448. #66943C23semidirect
449. #66942C23semidirect
450. #66942C23semidirect
451. #66942C23semidirect
452. #66942C23semidirect
453. #66942C23semidirect
454. #66942C23semidirect
455. #66942C23semidirect
456. #66942C23semidirect
457. #66941C23semidirect
458. #66941C23semidirect
459. #66940C23semidirect
460. #66940C23semidirect
463. #66939C23semidirect
464. #66939C23semidirect
472. #66938C23semidirect
479. #66937C23semidirect
480. #66937C23semidirect
490. #66936C23semidirect
494. (C22⋊D11)⋊C4C23semidirect
507. #66932C23semidirect
508. #66932C23semidirect
512. #66931C23semidirect
513. #66931C23semidirect
514. #66931C23semidirect
517. #66928C23semidirect
518. #66928C23semidirect
519. C4×D44C23semidirect
520. #66925C23semidirect
521. #66925C23semidirect
522. #66925C23semidirect
523. #66923C23semidirect
524. #66923C23semidirect
525. #66922C23semidirect
526. C4×Dic22C23semidirect
527. C4×Dic22C23semidirect
528. C4×Dic22C23semidirect
777. C2×#551D11semidirect
931. #551C2×D11semidirect
1473. C2×C11#3566semidirect
1711. C11C2×#3566semidirect
1899. C2#13083277direct (N × H)

Maximal subgroups

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

subgroupindex
#130832772
C2×#106231822
C2×#106231982
C2×#106232152
C2×#106231262
C2×#106230902
C2×#106231722
C2×#106230632
C2×#106232402
C2×#106230892
C2×#106231922
C2×#106230602
C2×#106232392
C2×#106231702
C2×#106230262
C2×#106230652
C2×#106232132
C2×#106232412
C2×#106230492
C2×#106232322
C2×#106231942
C2×#106231692
C2×#106231912
C2×#106230252
C2×#106231242
C2×#106230692
C2×#106231802
C2×C11×#5512
C2×#356611