Finite Group Databasebeta

← C2×#13082821 #15660975

Subgroups — C2×#13082821 #15660975

Order 2816.

7302 conjugacy classes of subgroups.

The subgroup lattice has 1964 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#13082821C2132yesmaximal, direct product factor
2C2×#10623243C211yesmaximal, characteristic, complemented
3C2×#10623243C211yesmaximal, characteristic, complemented
4C2×#10623198C211yesmaximal, characteristic, complemented
5C2×#10623215C211yesmaximal, characteristic, complemented
6C2×#10623166C211yesmaximal, characteristic, complemented
7C2×#10623074C211yesmaximal, characteristic, complemented
8C2×#10623173C211yesmaximal, characteristic, complemented
9C2×#10623062C211yesmaximal, characteristic, complemented
10C2×#10623026C211yesmaximal, characteristic, complemented
11C2×#10623058C211yesmaximal, characteristic, complemented
12C2×#10623189C211yesmaximal, characteristic, complemented
13C2×#10623086C211yesmaximal, characteristic, complemented
14C2×#10623186C211yesmaximal, characteristic, complemented
15C2×#10623021C211yesmaximal, characteristic, complemented
16C2×#10623122C211yesmaximal, characteristic, complemented
17C2×#10623050C211yesmaximal, characteristic, complemented
18C2×#10623165C211yesmaximal, characteristic, complemented
19C2×#10623213C211yesmaximal, characteristic, complemented
20C2×#10623241C211yesmaximal, characteristic, complemented
21C2×#10623176C211yesmaximal, characteristic, complemented
22C2×#10623196C211yesmaximal, characteristic, complemented
23C2×#10623196C211yesmaximal, characteristic, complemented
24C2×#10623095C211yesmaximal, characteristic, complemented
25C2×#10623238C211yesmaximal, characteristic, complemented
26C2×#10623091C211yesmaximal, characteristic, complemented
27C2×#10623057C211yesmaximal, characteristic, complemented
28C2×#10623179C211yesmaximal, characteristic, complemented
29C2×#10623117C211yesmaximal, characteristic, complemented
30C22×#66939C211yesmaximal, characteristic, complemented
31C22×#66931C211yesmaximal, characteristic, complemented
32C2×C11×#551C211yesmaximal, characteristic, complemented
33C23×C22⋊D11C2211yescharacteristic
34C24×Dic11C2211yescharacteristic
35C22×#4341C2211yescharacteristic
36C22×#4341C2211yescharacteristic, complemented
37C22×#4339C2211yescharacteristic
38C23×Dic22C2211yescharacteristic, complemented
39C11×#551C22116yescomplemented
40C2×C11×#126C2211yescharacteristic, complemented
41C2×C11×#126C2211yescharacteristic, complemented
42C2×C11×#124C2211yescharacteristic, complemented
43C2×C11×#123C2211yescharacteristic
44C2×C11×#123C2211yescharacteristic, complemented
45C2×C11×#123C2211yescharacteristic, complemented
46C2×C11×C22⋊Q8C2211yescharacteristic
47C2×C11×C22⋊Q8C2211yescharacteristic, complemented
48C2×C11×#120C2211yescharacteristic
49C2×C4×D4×C11C2211yescharacteristic
50C2×C4×D4×C11C2211yescharacteristic, complemented
51C2×C11×#117C2211yescharacteristic
52C2×C11×#117C2211yescharacteristic, complemented
53C22×C11×C22⋊C4C2211yescharacteristic
54C22×C11×C22⋊C4C2211yescharacteristic
55C2×#67006C2211yescharacteristic
56C22×C22⋊Dic11C2211yescharacteristic
57C2×#66999C2211yescharacteristic, complemented
58C2×#66999C2211yescharacteristic, complemented
59C2×#66999C2211yescharacteristic, complemented
60C2×Q8×Dic11C2211yescharacteristic, complemented
61C2×#66992C2211yescharacteristic
62C2×#66992C2211yescharacteristic
63C2×#66992C2211yescharacteristic
64C2×#66992C2211yescharacteristic, complemented
65C2×#66991C2211yescharacteristic
66C2×#66990C2211yescharacteristic
67C2×#66988C2211yescharacteristic, complemented
68C2×D4×Dic11C2211yescharacteristic
69C2×D4×Dic11C2211yescharacteristic
70C2×D4×Dic11C2211yescharacteristic, complemented
71C2×#66983C2211yescharacteristic
72C2×#66983C2211yescharacteristic, complemented
73C2×#66982C2211yescharacteristic
74C2×#66982C2211yescharacteristic
75C2×#66982C2211yescharacteristic, complemented
76C2×C4×C22⋊D11C2211yescharacteristic
77C2×C4×C22⋊D11C2211yescharacteristic
78C22×(C2×D11)⋊C4C2211yescharacteristic
79C22×(C2×D11)⋊C4C2211yescharacteristic
80C2×#66979C2211yescharacteristic
81C22×C4⋊Dic11C2211yescharacteristic
82C22×C4⋊Dic11C2211yescharacteristic
83C22×C4⋊Dic11C2211yescharacteristic, complemented
84C22×C4⋊Dic11C2211yescharacteristic, complemented
85C2×#66977C2211yescharacteristic
86C2×#66977C2211yescharacteristic, complemented
87C22×Dic11⋊C4C2211yescharacteristic, complemented
88C22×Dic11⋊C4C2211yescharacteristic, complemented
89#10623243C22116yescomplemented
90#10623243C22116yescomplemented
91#10623241C22116yescomplemented
92#10623238C22116yescomplemented
93#10623215C22116yescomplemented
94#10623213C22116yescomplemented
95#10623198C22116yescomplemented
96#10623196C22116yescomplemented
97#10623196C22116yescomplemented
98#10623189C22116yescomplemented
99#10623186C22116yescomplemented
100#10623179C22116yescomplemented
101#10623176C22116yescomplemented
102#10623173C22116yescomplemented
103#10623166C22116yescomplemented
104#10623165C22116yescomplemented
105#10623122C22116yescomplemented
106#10623117C22116yescomplemented
107#10623095C22116yescomplemented
108#10623091C22116yescomplemented
109#10623086C22116yescomplemented
110#10623074C22116yescomplemented
111#10623062C22116yescomplemented
112#10623058C22116yescomplemented
113#10623057C22116yescomplemented
114#10623050C22116yescomplemented
115C2×#66951C2211yescharacteristic, complemented
116C2×#66951C2211yescharacteristic, complemented
117C2×#66951C2211yescharacteristic, complemented
118C2×#66951C2211yescharacteristic, complemented
119C2×#66951C2211yescharacteristic, complemented
120C2×#66950C2211yescharacteristic, complemented
121C2×#66950C2211yescharacteristic, complemented
122C2×#66950C2211yescharacteristic, complemented
123C2×#66950C2211yescharacteristic, complemented
124C2×#66950C2211yescharacteristic, complemented
125C2×#66950C2211yescharacteristic, complemented
126C2×#66949C2211yescharacteristic, complemented
127C2×#66949C2211yescharacteristic, complemented
128C2×#66949C2211yescharacteristic, complemented
129C2×#66949C2211yescharacteristic, complemented
130C2×#66949C2211yescharacteristic, complemented
131C2×#66947C2211yescharacteristic, complemented
132C2×#66947C2211yescharacteristic, complemented
133C2×#66947C2211yescharacteristic, complemented
134C2×#66945C2211yescharacteristic, complemented
135C2×C4⋊C4×D11C2211yescharacteristic, complemented
136C2×#66943C2211yescharacteristic, complemented
137C2×#66943C2211yescharacteristic, complemented
138C2×#66943C2211yescharacteristic, complemented
139C2×#66943C2211yescharacteristic, complemented
140C2×#66943C2211yescharacteristic, complemented
141C2×#66942C2211yescharacteristic, complemented
142C2×#66942C2211yescharacteristic, complemented
143C2×#66942C2211yescharacteristic, complemented
144C2×#66941C2211yescharacteristic, complemented
145C2×#66941C2211yescharacteristic, complemented
146C2×#66941C2211yescharacteristic, complemented
147#10623026C22116yescomplemented
148C2×#66939C2211yescharacteristic
149C2×#66939C2211yescharacteristic
150C2×#66939C2211yescharacteristic
151C2×#66939C2211yescharacteristic
152C2×#66939C2211yescharacteristic
153C2×#66939C2211yescharacteristic
154C2×#66939C2211yescharacteristic
155C2×#66939C2211yescharacteristic
156C2×#66939C2211yescharacteristic
157C2×#66939C22116yescomplemented
158C2×#66939C2211yescharacteristic, complemented
159C2×#66939C2211yescharacteristic, complemented
160C2×#66939C2211yescharacteristic, complemented
161C2×#66939C2211yescharacteristic, complemented
162C2×#66938C2211yescharacteristic
163C2×#66938C2211yescharacteristic
164C2×#66938C2211yescharacteristic, complemented
165C2×#66938C2211yescharacteristic, complemented
166C2×#66938C2211yescharacteristic, complemented
167#10623021C22116yescomplemented
168C2×#66937C2211yescharacteristic
169C2×#66937C2211yescharacteristic
170C2×#66937C2211yescharacteristic, complemented
171C2×#66936C2211yescharacteristic
172C2×#66936C2211yescharacteristic
173C2×#66936C2211yescharacteristic, complemented
174C2×#66936C2211yescharacteristic, complemented
175C2×#66936C2211yescharacteristic, complemented
176C2×#66935C2211yescharacteristic
177C2×(C22⋊D11)⋊C4C2211yescharacteristic
178C2×(C22⋊D11)⋊C4C2211yescharacteristic
179C2×(C22⋊D11)⋊C4C2211yescharacteristic
180C2×(C22⋊D11)⋊C4C2211yescharacteristic, complemented
181C2×(C22⋊D11)⋊C4C2211yescharacteristic, complemented
182C2×(C22⋊D11)⋊C4C2211yescharacteristic, complemented
183C2×C22⋊C4×D11C2211yescharacteristic
184C2×C22⋊C4×D11C2211yescharacteristic
185C2×#66932C2211yescharacteristic, complemented
186C2×#66932C2211yescharacteristic, complemented
187C2×#66932C2211yescharacteristic, complemented
188C2×#66931C2211yescharacteristic
189C2×#66931C2211yescharacteristic
190C2×#66931C2211yescharacteristic
191C2×#66931C2211yescharacteristic
192C2×#66931C2211yescharacteristic
193C2×#66931C2211yescharacteristic
194C2×#66931C2211yescharacteristic
195C2×#66931C22116yescomplemented
196C2×#66931C2211yescharacteristic, complemented
197C2×#66931C2211yescharacteristic, complemented
198C2×#66931C2211yescharacteristic, complemented
199C2×#66931C2211yescharacteristic, complemented
200C2×#66931C2211yescharacteristic, complemented
201C2×#66931C2211yescharacteristic, complemented
202C2×#66931C2211yescharacteristic, complemented
203C2×#66931C2211yescharacteristic, complemented
204C2×#66931C2211yescharacteristic, complemented
205C2×#66930C2211yescharacteristic, complemented
206C2×#66930C2211yescharacteristic, complemented
207C2×#66929C2211yescharacteristic, complemented
208C2×#66929C2211yescharacteristic, complemented
209C2×#66928C2211yescharacteristic, complemented
210C2×#66928C2211yescharacteristic, complemented
211C2×C4×D44C2211yescharacteristic, complemented
212C2×#66925C2211yescharacteristic, complemented
213C2×#66923C2211yescharacteristic, complemented
214C2×#66923C2211yescharacteristic, complemented
215C2×#66922C2211yescharacteristic, complemented
216C2×#66922C2211yescharacteristic, complemented
217C2×#66922C2211yescharacteristic, complemented
218C2×C4×Dic22C2211yescharacteristic, complemented
219C25×C11C2311yescharacteristic
220C24×D11C2311yescharacteristic
221C22×Q8×C11C2311yescharacteristic
222C22×D4×C11C2311yescharacteristic
223C22×D4×C11C2311yescharacteristic
224C22×D4×C11C2311yescharacteristic
225C23×C4×C11C2311yescharacteristic
226C23×C4×C11C2311yescharacteristic
227C23×C4×C11C2311yescharacteristic
228C23×C4×C11C2311yescharacteristic
229C23×C4×C11C2311yescharacteristic
230C22×C22⋊D11—44no—
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⋊D11C2318yes—
241C22×C22⋊D11C2311yescharacteristic
242C23×Dic11—44no—
243C23×Dic11C2311yescharacteristic
244C23×Dic11C2311yescharacteristic
245C23×Dic11C2311yescharacteristic
246C23×Dic11C2311yescharacteristic
247C23×Dic11C2311yescharacteristic
248C23×Dic11C2311yescharacteristic
249C23×Dic11C2311yescharacteristic
250C23×Dic11C2311yescharacteristic
251C23×Dic11C2318yes—
252C23×Dic11C2311yescharacteristic
253C23×Dic11C2311yescharacteristic
254C23×Dic11C2311yescharacteristic
255C2×#4341—44no—
256C2×#4341—44no—
257C2×#4341C2318yes—
258C2×#4341C2318yescomplemented
259C2×#4339—44no—
260C2×#4339C2318yes—
261C22×D44C2311yescharacteristic
262C22×D44C2311yescharacteristic
263C22×C4×D11C2311yescharacteristic
264C22×C4×D11C2311yescharacteristic
265C22×C4×D11C2311yescharacteristic
266C22×C4×D11C2311yescharacteristic
267C22×C4×D11C2311yescharacteristic
268C22×C4×D11C2311yescharacteristic
269C22×C4×D11C2311yescharacteristic
270C22×Dic22—44no—
271C22×Dic22C2311yescharacteristic
272C22×Dic22C2311yescharacteristic
273C22×Dic22C2311yescharacteristic
274C22×Dic22C2311yescharacteristic
275C22×Dic22C2311yescharacteristic
276C22×Dic22C2311yescharacteristic
277C22×Dic22C2311yescharacteristic
278C22×Dic22C2311yescharacteristic
279C22×Dic22C2318yescomplemented
280C11×#126C2318yescomplemented
281C11×#126C2318yescomplemented
282C11×#124C2318yescomplemented
283C11×#123C2318yes—
284C11×#123C2318yescomplemented
285C11×#123C2318yescomplemented
286C11×C22⋊Q8C2318yes—
287C11×C22⋊Q8C2318yescomplemented
288C11×#120C2318yes—
289C4×D4×C11C2318yes—
290C4×D4×C11C2318yescomplemented
291C11×#117C2318yes—
292C11×#117C2318yescomplemented
293C2×C11×C4⋊C4C2311yescharacteristic
294C2×C11×C4⋊C4C2311yescharacteristic
295C2×C11×C4⋊C4C2311yescharacteristic
296C2×C11×C4⋊C4C2311yescharacteristic
297C2×C11×C4⋊C4C2311yescharacteristic
298C2×C11×C4⋊C4C2311yescharacteristic
299C2×C11×C4⋊C4C2311yescharacteristic
300C2×C11×C4⋊C4C2311yescharacteristic
301C2×C11×C22⋊C4C2311yescharacteristic
302C2×C11×C22⋊C4C2311yescharacteristic
303C2×C11×C22⋊C4C2311yescharacteristic
304C2×C11×C22⋊C4C2311yescharacteristic
305C2×C11×C22⋊C4C2311yescharacteristic
306C2×C11×C22⋊C4C2311yescharacteristic
307C2×C11×C22⋊C4C2311yescharacteristic
308C2×C11×C22⋊C4C2311yescharacteristic
309C2×C11×C22⋊C4C2318yes—
310C2×C11×C22⋊C4C2311yescharacteristic
311C2×C11×C22⋊C4C2311yescharacteristic
312C2×C11×C22⋊C4C2311yescharacteristic
313C2×C11×C22⋊C4C2311yescharacteristic
314C2×C11×C22⋊C4C2311yescharacteristic
315C2×C11×C22⋊C4C2311yescharacteristic
316C2×C11×C22⋊C4C2318yes—
317C2×C42×C11C2311yescharacteristic
318C2×C42×C11C2311yescharacteristic
319C2×C42×C11C2311yescharacteristic
320#67006C2318yes—
321C2×C22⋊Dic11C2311yescharacteristic
322C2×C22⋊Dic11C2311yescharacteristic
323C2×C22⋊Dic11C2311yescharacteristic
324C2×C22⋊Dic11C2311yescharacteristic
325C2×C22⋊Dic11C2311yescharacteristic
326C2×C22⋊Dic11C2311yescharacteristic
327C2×C22⋊Dic11C2318yes—
328C2×C22⋊Dic11C2311yescharacteristic
329C2×C22⋊Dic11C2311yescharacteristic
330C2×C22⋊Dic11C2311yescharacteristic
331C2×C22⋊Dic11C2311yescharacteristic
332#66999C2318yescomplemented
333#66999C2318yescomplemented
334#66999C2318yescomplemented
335Q8×Dic11C2318yescomplemented
336#66992C2318yes—
337#66992C2318yes—
338#66992C2318yes—
339#66992C2318yescomplemented
340#66991C2318yes—
341#66990C2318yes—
342#66988C2318yescomplemented
343D4×Dic11C2318yes—
344D4×Dic11C2318yes—
345D4×Dic11C2318yescomplemented
346#66983C2318yes—
347#66983C2318yescomplemented
348#66982C2318yes—
349#66982C2318yes—
350#66982C2318yescomplemented
351C4×C22⋊D11C2318yes—
352C4×C22⋊D11C2318yes—
353C2×(C2×D11)⋊C4C2311yescharacteristic
354C2×(C2×D11)⋊C4C2311yescharacteristic
355C2×(C2×D11)⋊C4C2311yescharacteristic
356C2×(C2×D11)⋊C4C2311yescharacteristic
357C2×(C2×D11)⋊C4C2311yescharacteristic
358C2×(C2×D11)⋊C4C2311yescharacteristic
359C2×(C2×D11)⋊C4C2311yescharacteristic
360C2×(C2×D11)⋊C4C2311yescharacteristic
361C2×(C2×D11)⋊C4C2311yescharacteristic
362C2×(C2×D11)⋊C4C2311yescharacteristic
363C2×(C2×D11)⋊C4C2311yescharacteristic
364C2×(C2×D11)⋊C4C2311yescharacteristic
365C2×(C2×D11)⋊C4C2311yescharacteristic
366C2×(C2×D11)⋊C4C2311yescharacteristic
367C2×(C2×D11)⋊C4C2311yescharacteristic
368C2×(C2×D11)⋊C4C2311yescharacteristic
369C2×(C2×D11)⋊C4C2311yescharacteristic
370C2×(C2×D11)⋊C4C2311yescharacteristic
371C2×(C2×D11)⋊C4C2311yescharacteristic
372C2×(C2×D11)⋊C4C2311yescharacteristic
373C2×(C2×D11)⋊C4C2311yescharacteristic
374C2×(C2×D11)⋊C4C2311yescharacteristic
375C2×(C2×D11)⋊C4C2318yes—
376C2×(C2×D11)⋊C4C2318yes—
377#66979C2318yes—
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
390C2×C4⋊Dic11C2311yescharacteristic
391C2×C4⋊Dic11C2311yescharacteristic
392C2×C4⋊Dic11C2311yescharacteristic
393C2×C4⋊Dic11C2311yescharacteristic
394C2×C4⋊Dic11C2311yescharacteristic
395C2×C4⋊Dic11C2311yescharacteristic
396C2×C4⋊Dic11C2311yescharacteristic
397C2×C4⋊Dic11C2311yescharacteristic
398C2×C4⋊Dic11C2318yes—
399C2×C4⋊Dic11C2318yes—
400C2×C4⋊Dic11C2318yescomplemented
401C2×C4⋊Dic11C2318yescomplemented
402#66977C2318yes—
403#66977C2318yescomplemented
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⋊C4C2311yescharacteristic
424C2×Dic11⋊C4C2311yescharacteristic
425C2×Dic11⋊C4C2311yescharacteristic
426C2×Dic11⋊C4C2318yescomplemented
427C2×Dic11⋊C4C2318yescomplemented
428C2×C4×Dic11C2311yescharacteristic
429C2×C4×Dic11C2311yescharacteristic
430C2×C4×Dic11C2311yescharacteristic
431C2×C4×Dic11C2311yescharacteristic
432C2×C4×Dic11C2311yescharacteristic
433C2×C4×Dic11C2311yescharacteristic
434C2×C4×Dic11C2311yescharacteristic
435#66951C2318yescomplemented
436#66951C2318yescomplemented
437#66951C2318yescomplemented
438#66951C2318yescomplemented
439#66951C2318yescomplemented
440#66950C2318yescomplemented
441#66950C2318yescomplemented
442#66950C2318yescomplemented
443#66950C2318yescomplemented
444#66950C2318yescomplemented
445#66950C2318yescomplemented
446#66949C2318yescomplemented
447#66949C2318yescomplemented
448#66949C2318yescomplemented
449#66949C2318yescomplemented
450#66949C2318yescomplemented
451#66947C2318yescomplemented
452#66947C2318yescomplemented
453#66947C2318yescomplemented
454#66945C2318yescomplemented
455C4⋊C4×D11C2318yescomplemented
456#66943C2318yescomplemented
457#66943C2318yescomplemented
458#66943C2318yescomplemented
459#66943C2318yescomplemented
460#66943C2318yescomplemented
461#66942C2318yescomplemented
462#66942C2318yescomplemented
463#66942C2318yescomplemented
464#66941C2318yescomplemented
465#66941C2318yescomplemented
466#66941C2318yescomplemented
467#66939C2318yes—
468#66939C2318yes—
469#66939C2318yes—
470#66939C2318yes—
471#66939C2318yes—
472#66939C2318yes—
473#66939C2318yes—
474#66939C2318yes—
475#66939C2318yes—
476#66939C2318yescomplemented
477#66939C2318yescomplemented
478#66939C2318yescomplemented
479#66939C2318yescomplemented
480#66938C2318yes—
481#66938C2318yes—
482#66938C2318yescomplemented
483#66938C2318yescomplemented
484#66938C2318yescomplemented
485#66937C2318yes—
486#66937C2318yes—
487#66937C2318yescomplemented
488#66936C2318yes—
489#66936C2318yes—
490#66936C2318yescomplemented
491#66936C2318yescomplemented
492#66936C2318yescomplemented
493#66935C2318yes—
494(C22⋊D11)⋊C4C2318yes—
495(C22⋊D11)⋊C4C2318yes—
496(C22⋊D11)⋊C4C2318yes—
497(C22⋊D11)⋊C4C2318yescomplemented
498(C22⋊D11)⋊C4C2318yescomplemented
499(C22⋊D11)⋊C4C2318yescomplemented
500C22⋊C4×D11C2318yes—
501C22⋊C4×D11C2318yes—
502#66932C2318yescomplemented
503#66932C2318yescomplemented
504#66932C2318yescomplemented
505#66931C2318yes—
506#66931C2318yes—
507#66931C2318yes—
508#66931C2318yes—
509#66931C2318yes—
510#66931C2318yes—
511#66931C2318yes—
512#66931C2318yescomplemented
513#66931C2318yescomplemented
514#66931C2318yescomplemented
515#66931C2318yescomplemented
516#66931C2318yescomplemented
517#66931C2318yescomplemented
518#66931C2318yescomplemented
519#66931C2318yescomplemented
520#66931C2318yescomplemented
521#66930C2318yescomplemented
522#66930C2318yescomplemented
523#66929C2318yescomplemented
524#66929C2318yescomplemented
525#66928C2318yescomplemented
526#66928C2318yescomplemented
527C4×D44C2318yescomplemented
528#66925C2318yescomplemented
529#66923C2318yescomplemented
530#66923C2318yescomplemented
531#66922C2318yescomplemented
532#66922C2318yescomplemented
533#66922C2318yescomplemented
534C4×Dic22C2318yescomplemented
535C2×#3535—111nomaximal, Sylow
536C24×C11—24no—
537C24×C11—24no—
538C24×C11—42no—
539C24×C11C2411yescharacteristic
540C24×C11C2411yescharacteristic
541C24×C11C2414yes—
542C24×C11C2411yescharacteristic
543C24×C11C2411yescharacteristic
544C23×D11—24no—
545C23×D11—42no—
546C23×D11—42no—
547C23×D11C2411yescharacteristic
548C23×D11C2411yescharacteristic
549C23×D11C2411yescharacteristic
550C23×D11C2414yes—
551C2×Q8×C11—42no—
552C2×Q8×C11C2414yes—
553C2×D4×C11—24no—
554C2×D4×C11—24no—
555C2×D4×C11—42no—
556C2×D4×C11C2414yes—
557C2×D4×C11C2414yes—
558C2×D4×C11C2414yes—
559C22×C4×C11—24no—
560C22×C4×C11—24no—
561C22×C4×C11—42no—
562C22×C4×C11—42no—
563C22×C4×C11—42no—
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×C11C2411yescharacteristic
573C22×C4×C11C2411yescharacteristic
574C22×C4×C11C2411yescharacteristic
575C22×C4×C11C2414yes—
576C22×C4×C11C2414yes—
577C22×C4×C11C2414yes—
578C22×C4×C11C2414yes—
579C22×C4×C11C2414yes—
580C2×C22⋊D11—24no—
581C2×C22⋊D11—24no—
582C2×C22⋊D11—24no—
583C2×C22⋊D11—24no—
584C2×C22⋊D11—42no—
585C2×C22⋊D11—42no—
586C2×C22⋊D11—42no—
587C2×C22⋊D11—42no—
588C2×C22⋊D11—42no—
589C2×C22⋊D11—42no—
590C2×C22⋊D11—416no—
591C2×C22⋊D11C2414yes—
592C2×C22⋊D11C2414yes—
593C2×C22⋊D11C2414yes—
594C2×C22⋊D11C2414yes—
595C2×C22⋊D11C2414yes—
596C2×C22⋊D11C2414yes—
597C2×C22⋊D11C2414yes—
598C2×C22⋊D11C2414yes—
599C2×C22⋊D11C2414yes—
600C2×C22⋊D11C2414yes—
601C22×Dic11—24no—
602C22×Dic11—24no—
603C22×Dic11—24no—
604C22×Dic11—42no—
605C22×Dic11—42no—
606C22×Dic11—42no—
607C22×Dic11—42no—
608C22×Dic11—42no—
609C22×Dic11—42no—
610C22×Dic11—416no—
611C22×Dic11—42no—
612C22×Dic11—42no—
613C22×Dic11C2414yes—
614C22×Dic11C2414yes—
615C22×Dic11C2414yes—
616C22×Dic11C2411yescharacteristic
617C22×Dic11C2411yescharacteristic
618C22×Dic11C2411yescharacteristic
619C22×Dic11C2411yescharacteristic
620C22×Dic11C2411yescharacteristic
621C22×Dic11C2411yescharacteristic
622C22×Dic11C2411yescharacteristic
623C22×Dic11C2411yescharacteristic
624C22×Dic11C2411yescharacteristic
625C22×Dic11C2411yescharacteristic
626C22×Dic11C2411yescharacteristic
627C22×Dic11C2411yescharacteristic
628C22×Dic11C2411yescharacteristic
629C22×Dic11C2414yes—
630C22×Dic11C2414yes—
631C22×Dic11C2414yes—
632C22×Dic11C2414yes—
633C22×Dic11C2414yes—
634C22×Dic11C2414yes—
635C22×Dic11C2414yes—
636C22×Dic11C2414yes—
637#4341—416no—
638#4341—416no—
639#4339—416no—
640C2×D44—42no—
641C2×D44—42no—
642C2×D44C2414yes—
643C2×D44C2414yes—
644C2×C4×D11—42no—
645C2×C4×D11—42no—
646C2×C4×D11—42no—
647C2×C4×D11—42no—
648C2×C4×D11—42no—
649C2×C4×D11—42no—
650C2×C4×D11—42no—
651C2×C4×D11C2414yes—
652C2×C4×D11C2414yes—
653C2×C4×D11C2414yes—
654C2×C4×D11C2414yes—
655C2×C4×D11C2414yes—
656C2×C4×D11C2414yes—
657C2×C4×D11C2414yes—
658C2×Dic22—42no—
659C2×Dic22—42no—
660C2×Dic22—42no—
661C2×Dic22—42no—
662C2×Dic22—416no—
663C2×Dic22—42no—
664C2×Dic22—42no—
665C2×Dic22—42no—
666C2×Dic22—42no—
667C2×Dic22C2414yes—
668C2×Dic22C2414yes—
669C2×Dic22C2414yes—
670C2×Dic22C2414yes—
671C2×Dic22C2414yes—
672C2×Dic22C2414yes—
673C2×Dic22C2414yes—
674C2×Dic22C2414yes—
675C11×C4⋊C4C2414yes—
676C11×C4⋊C4C2414yes—
677C11×C4⋊C4C2414yes—
678C11×C4⋊C4C2414yes—
679C11×C4⋊C4C2414yes—
680C11×C4⋊C4C2414yes—
681C11×C4⋊C4C2414yes—
682C11×C4⋊C4C2414yes—
683C11×C22⋊C4C2414yes—
684C11×C22⋊C4C2414yes—
685C11×C22⋊C4C2414yes—
686C11×C22⋊C4C2414yes—
687C11×C22⋊C4C2414yes—
688C11×C22⋊C4C2414yes—
689C11×C22⋊C4C2414yes—
690C11×C22⋊C4C2414yes—
691C11×C22⋊C4C2414yes—
692C11×C22⋊C4C2414yes—
693C11×C22⋊C4C2414yes—
694C11×C22⋊C4C2414yes—
695C11×C22⋊C4C2414yes—
696C11×C22⋊C4C2414yes—
697C42×C11C2414yes—
698C42×C11C2414yes—
699C42×C11C2414yes—
700C22⋊Dic11C2414yes—
701C22⋊Dic11C2414yes—
702C22⋊Dic11C2414yes—
703C22⋊Dic11C2414yes—
704C22⋊Dic11C2414yes—
705C22⋊Dic11C2414yes—
706C22⋊Dic11C2414yes—
707C22⋊Dic11C2414yes—
708C22⋊Dic11C2414yes—
709C22⋊Dic11C2414yes—
710(C2×D11)⋊C4C2414yes—
711(C2×D11)⋊C4C2414yes—
712(C2×D11)⋊C4C2414yes—
713(C2×D11)⋊C4C2414yes—
714(C2×D11)⋊C4C2414yes—
715(C2×D11)⋊C4C2414yes—
716(C2×D11)⋊C4C2414yes—
717(C2×D11)⋊C4C2414yes—
718(C2×D11)⋊C4C2414yes—
719(C2×D11)⋊C4C2414yes—
720(C2×D11)⋊C4C2414yes—
721(C2×D11)⋊C4C2414yes—
722(C2×D11)⋊C4C2414yes—
723(C2×D11)⋊C4C2414yes—
724(C2×D11)⋊C4C2414yes—
725(C2×D11)⋊C4C2414yes—
726(C2×D11)⋊C4C2414yes—
727(C2×D11)⋊C4C2414yes—
728(C2×D11)⋊C4C2414yes—
729(C2×D11)⋊C4C2414yes—
730(C2×D11)⋊C4C2414yes—
731(C2×D11)⋊C4C2414yes—
732C4⋊Dic11C2414yes—
733C4⋊Dic11C2414yes—
734C4⋊Dic11C2414yes—
735C4⋊Dic11C2414yes—
736C4⋊Dic11C2414yes—
737C4⋊Dic11C2414yes—
738C4⋊Dic11C2414yes—
739C4⋊Dic11C2414yes—
740C4⋊Dic11C2414yes—
741C4⋊Dic11C2414yes—
742C4⋊Dic11C2414yes—
743C4⋊Dic11C2414yes—
744C4⋊Dic11C2414yes—
745C4⋊Dic11C2414yes—
746C4⋊Dic11C2414yes—
747C4⋊Dic11C2414yes—
748C4⋊Dic11C2414yes—
749C4⋊Dic11C2414yes—
750C4⋊Dic11C2414yes—
751C4⋊Dic11C2414yes—
752Dic11⋊C4C2414yes—
753Dic11⋊C4C2414yes—
754Dic11⋊C4C2414yes—
755Dic11⋊C4C2414yes—
756Dic11⋊C4C2414yes—
757Dic11⋊C4C2414yes—
758Dic11⋊C4C2414yes—
759Dic11⋊C4C2414yes—
760Dic11⋊C4C2414yes—
761Dic11⋊C4C2414yes—
762Dic11⋊C4C2414yes—
763Dic11⋊C4C2414yes—
764Dic11⋊C4C2414yes—
765Dic11⋊C4C2414yes—
766Dic11⋊C4C2414yes—
767Dic11⋊C4C2414yes—
768Dic11⋊C4C2414yes—
769Dic11⋊C4C2414yes—
770Dic11⋊C4C2414yes—
771Dic11⋊C4C2414yes—
772Dic11⋊C4C2414yes—
773Dic11⋊C4C2414yes—
774C4×Dic11C2414yes—
775C4×Dic11C2414yes—
776C4×Dic11C2414yes—
777C4×Dic11C2414yes—
778C4×Dic11C2414yes—
779C4×Dic11C2414yes—
780C4×Dic11C2414yes—
781#3535—1132no—
782C2×#563—111no—
783C2×#563—111no—
784C2×#562—111no—
785C2×#562—111no—
786C2×#554—111no—
787C2×#554—111no—
788C2×#552—111no—
789C2×#552—111no—
790C2×#551—111no—
791C2×#551—111no—
792C2×#551—111no—
793C2×#551D1111yescharacteristic, complemented
794C2×#547—111no—
795C2×#547—111no—
796C2×#546—111no—
797C2×#546—111no—
798C2×#544—111no—
799C2×#543—111no—
800C2×#542—111no—
801C2×#542—111no—
802C2×#539—111no—
803C2×#539—111no—
804C2×#539—111no—
805C2×#539—111no—
806C2×#539—111no—
807C2×#538—111no—
808C2×#536—111no—
809C2×#536—111no—
810C2×#525—111no—
811C22×#123—111no—
812C22×C22⋊Q8—111no—
813C23×C11—22no—
814C23×C11—22no—
815C23×C11—22no—
816C23×C11—22no—
817C23×C11—22no—
818C23×C11—28no—
819C23×C11—22no—
820C23×C11—22no—
821C23×C11—28no—
822C23×C11—22no—
823C23×C11—22no—
824C23×C11—22no—
825C23×C11—44no—
826C23×C11—416no—
827C23×C11H(5,𝔽2)14yes—
828C23×C112−1+414yes—
829C23×C11C2512yes—
830C23×C11C2512yes—
831C23×C11C2512yes—
832C23×C11C2512yes—
833C23×C11C2511yescharacteristic
834C22×D11—22no—
835C22×D11—22no—
836C22×D11—22no—
837C22×D11—22no—
838C22×D11—22no—
839C22×D11—22no—
840C22×D11—22no—
841C22×D11—22no—
842C22×D11—22no—
843C22×D11—28no—
844C22×D11—44no—
845C22×D11—44no—
846C22×D11—88no—
847C22×D11C2512yes—
848C22×D11C2512yes—
849C22×D11C2512yes—
850Q8×C11—44no—
851D4×C11—28no—
852D4×C11—28no—
853D4×C11—44no—
854C2×C4×C11—22no—
855C2×C4×C11—22no—
856C2×C4×C11—22no—
857C2×C4×C11—28no—
858C2×C4×C11—28no—
859C2×C4×C11—22no—
860C2×C4×C11—22no—
861C2×C4×C11—22no—
862C2×C4×C11—22no—
863C2×C4×C11—22no—
864C2×C4×C11—22no—
865C2×C4×C11—22no—
866C2×C4×C11—22no—
867C2×C4×C11—44no—
868C2×C4×C11—44no—
869C2×C4×C11—44no—
870C2×C4×C11C2512yes—
871C2×C4×C11C2512yes—
872C2×C4×C11C2512yes—
873C2×C4×C11C2512yes—
874C2×C4×C11C2512yes—
875C2×C4×C11C2512yes—
876C2×C4×C11C2512yes—
877C2×C4×C11C2512yes—
878C2×C4×C11C2512yes—
879C2×C4×C11C2512yes—
880C2×C4×C11C2512yes—
881C22⋊D11—28no—
882C22⋊D11—28no—
883C22⋊D11—28no—
884C22⋊D11—28no—
885C22⋊D11—44no—
886C22⋊D11—44no—
887C22⋊D11—44no—
888C22⋊D11—44no—
889C22⋊D11—44no—
890C22⋊D11—44no—
891C2×Dic11—22no—
892C2×Dic11—22no—
893C2×Dic11—22no—
894C2×Dic11—28no—
895C2×Dic11—28no—
896C2×Dic11—22no—
897C2×Dic11—22no—
898C2×Dic11—22no—
899C2×Dic11—22no—
900C2×Dic11—22no—
901C2×Dic11—22no—
902C2×Dic11—28no—
903C2×Dic11—22no—
904C2×Dic11—22no—
905C2×Dic11—22no—
906C2×Dic11—22no—
907C2×Dic11—44no—
908C2×Dic11—44no—
909C2×Dic11—44no—
910C2×Dic11—44no—
911C2×Dic11—44no—
912C2×Dic11—44no—
913C2×Dic11—44no—
914C2×Dic11—44no—
915C2×Dic11C2512yes—
916C2×Dic11C2512yes—
917C2×Dic11C2512yes—
918C2×Dic11C2512yes—
919C2×Dic11C2512yes—
920C2×Dic11C2512yes—
921C2×Dic11C2512yes—
922C2×Dic11C2512yes—
923C2×Dic11C2512yes—
924C2×Dic11C2512yes—
925C2×Dic11C2512yes—
926C2×Dic11C2512yes—
927C2×Dic11C2512yes—
928D44—44no—
929D44—44no—
930C4×D11—44no—
931C4×D11—44no—
932C4×D11—44no—
933C4×D11—44no—
934C4×D11—44no—
935C4×D11—44no—
936C4×D11—44no—
937Dic22—44no—
938Dic22—44no—
939Dic22—44no—
940Dic22—44no—
941Dic22—44no—
942Dic22—44no—
943Dic22—44no—
944Dic22—44no—
945C22×#41—111no—
946C22×#41—111no—
947C22×#41—111no—
948C23×Q8—111no—
949C23×D4—111no—
950C24×C4—111no—
951#563—1116no—
952#563—1116no—
953#562—1116no—
954#562—1116no—
955#554—1116no—
956#554—1116no—
957#552—1116no—
958#552—1116no—
959#551—1116no—
960#551—1116no—
961#551—1116no—
962#551C2×D11116yescomplemented
963#547—1116no—
964#547—1116no—
965#546—1116no—
966#546—1116no—
967#544—1116no—
968#543—1116no—
969#542—1116no—
970#542—1116no—
971#539—1116no—
972#539—1116no—
973#539—1116no—
974#539—1116no—
975#539—1116no—
976#538—1116no—
977#536—1116no—
978#536—1116no—
979C2×C4⋊Q8—111no—
980C2×C4⋊Q8—111no—
981C2×C4⋊Q8—111no—
982C2×C4⋊Q8—111no—
983C2×C4⋊Q8—111no—
984C2×C4⋊Q8—111no—
985C2×#126—111no—
986C2×#126—111no—
987C2×#126—111no—
988C2×#126—111no—
989C2×#126—111no—
990C2×#126—111no—
991C2×#126—111no—
992C2×#126—111no—
993C2×#126—111no—
994C2×#126—111no—
995C2×#126C2×D1111yescharacteristic, complemented
996C2×#126C2×D1111yescharacteristic, complemented
997C2×#125—111no—
998C2×#125—111no—
999C2×#125—111no—
1000C2×#125—111no—
1001C2×#125—111no—
1002C2×#125—111no—
1003C2×#125—111no—
1004C2×#125—111no—
1005C2×#125—111no—
1006C2×#125—111no—
1007C2×#124—111no—
1008C2×#124—111no—
1009C2×#124—111no—
1010C2×#124—111no—
1011C2×#124—111no—
1012C2×#124—111no—
1013C2×#124—111no—
1014C2×#124C2×D1111yescharacteristic, complemented
1015#525—1116no—
1016C2×#123—111no—
1017C2×#123—111no—
1018C2×#123—111no—
1019C2×#123—111no—
1020C2×#123—111no—
1021C2×#123—111no—
1022C2×#123—111no—
1023C2×#123—111no—
1024C2×#123—111no—
1025C2×#123—111no—
1026C2×#123—111no—
1027C2×#123—111no—
1028C2×#123—111no—
1029C2×#123—111no—
1030C2×#123—111no—
1031C2×#123—111no—
1032C2×#123—111no—
1033C2×#123—111no—
1034C2×#123—111no—
1035C2×#123—111no—
1036C2×#123—111no—
1037C2×#123—1116no—
1038C2×#123—111no—
1039C2×#123—111no—
1040C2×#123—111no—
1041C2×#123—111no—
1042C2×#123C2×D1111yescharacteristic
1043C2×#123C2×D1111yescharacteristic, complemented
1044C2×#123C2×D1111yescharacteristic, complemented
1045C2×C22⋊Q8—111no—
1046C2×C22⋊Q8—111no—
1047C2×C22⋊Q8—111no—
1048C2×C22⋊Q8—111no—
1049C2×C22⋊Q8—111no—
1050C2×C22⋊Q8—111no—
1051C2×C22⋊Q8—111no—
1052C2×C22⋊Q8—111no—
1053C2×C22⋊Q8—111no—
1054C2×C22⋊Q8—111no—
1055C2×C22⋊Q8—111no—
1056C2×C22⋊Q8—111no—
1057C2×C22⋊Q8—111no—
1058C2×C22⋊Q8—111no—
1059C2×C22⋊Q8—111no—
1060C2×C22⋊Q8—111no—
1061C2×C22⋊Q8—111no—
1062C2×C22⋊Q8—111no—
1063C2×C22⋊Q8—111no—
1064C2×C22⋊Q8—111no—
1065C2×C22⋊Q8—111no—
1066C2×C22⋊Q8—111no—
1067C2×C22⋊Q8—111no—
1068C2×C22⋊Q8—111no—
1069C2×C22⋊Q8—111no—
1070C2×C22⋊Q8—111no—
1071C2×C22⋊Q8—111no—
1072C2×C22⋊Q8—1116no—
1073C2×C22⋊Q8—111no—
1074C2×C22⋊Q8—111no—
1075C2×C22⋊Q8—111no—
1076C2×C22⋊Q8—111no—
1077C2×C22⋊Q8—111no—
1078C2×C22⋊Q8C2×D1111yescharacteristic
1079C2×C22⋊Q8C2×D1111yescharacteristic, complemented
1080C2×#121—111no—
1081C2×#121—111no—
1082C2×#121—111no—
1083C2×#121—111no—
1084C2×#121—111no—
1085C2×#121—111no—
1086C2×#121—111no—
1087C2×#121—111no—
1088C2×#121—111no—
1089C2×#121—111no—
1090C2×#120—111no—
1091C2×#120—111no—
1092C2×#120—111no—
1093C2×#120C2×D1111yescharacteristic
1094C2×C4×Q8—111no—
1095C2×C4×Q8—111no—
1096C2×C4×D4—111no—
1097C2×C4×D4—111no—
1098C2×C4×D4—111no—
1099C2×C4×D4—111no—
1100C2×C4×D4—111no—
1101C2×C4×D4—111no—
1102C2×C4×D4—111no—
1103C2×C4×D4—111no—
1104C2×C4×D4—111no—
1105C2×C4×D4—111no—
1106C2×C4×D4—111no—
1107C2×C4×D4—111no—
1108C2×C4×D4C2×D1111yescharacteristic
1109C2×C4×D4C2×D1111yescharacteristic, complemented
1110C2×#117—111no—
1111C2×#117—111no—
1112C2×#117—111no—
1113C2×#117—111no—
1114C2×#117—111no—
1115C2×#117C2×D1111yescharacteristic
1116C2×#117C2×D1111yescharacteristic, complemented
1117C22×C4⋊C4—111no—
1118C22×C4⋊C4—111no—
1119C22×C4⋊C4—111no—
1120C22×C4⋊C4—111no—
1121C22×C4⋊C4—111no—
1122C22×C4⋊C4—111no—
1123C22×C4⋊C4—111no—
1124C22×C22⋊C4—111no—
1125C22×C22⋊C4—111no—
1126C22×C22⋊C4—111no—
1127C22×C22⋊C4—111no—
1128C22×C22⋊C4—111no—
1129C22×C22⋊C4C2×D1111yescharacteristic
1130C22×C22⋊C4C2×D1111yescharacteristic
1131C22×C11—22no—
1132C22×C11—22no—
1133C22×C11—22no—
1134C22×C11—22no—
1135C22×C11—28no—
1136C22×C11—28no—
1137C22×C11—22no—
1138C22×C11—22no—
1139C22×C11—22no—
1140C22×C11—22no—
1141C22×C11—22no—
1142C22×C11—22no—
1143C22×C11—416no—
1144C22×C11—44no—
1145C22×C11—44no—
1146C22×C11C2×H(5,𝔽2)14yes—
1147C22×C11C2×H(5,𝔽2)12yes—
1148C22×C11C2×2−1+414yes—
1149C22×C11C2×2−1+412yes—
1150C22×C11#58512yes—
1151C22×C11C2611yescharacteristic
1152C2×D11—22no—
1153C2×D11—22no—
1154C2×D11—22no—
1155C2×D11—22no—
1156C2×D11—22no—
1157C2×D11—22no—
1158C2×D11—22no—
1159C2×D11—22no—
1160C2×D11—22no—
1161C2×D11—44no—
1162C2×D11—44no—
1163C2×D11—44no—
1164C2×D11—88no—
1165C4×C11—22no—
1166C4×C11—22no—
1167C4×C11—22no—
1168C4×C11—22no—
1169C4×C11—22no—
1170C4×C11—22no—
1171C4×C11—22no—
1172C4×C11—22no—
1173C4×C11—22no—
1174C4×C11—22no—
1175C4×C11—22no—
1176Dic11—22no—
1177Dic11—22no—
1178Dic11—22no—
1179Dic11—22no—
1180Dic11—22no—
1181Dic11—22no—
1182Dic11—22no—
1183Dic11—22no—
1184Dic11—22no—
1185Dic11—22no—
1186Dic11—22no—
1187Dic11—22no—
1188Dic11—22no—
1189C25—111no—
1190C25C22×D1111yescharacteristic
1191C2×#41—118no—
1192C2×#41—118no—
1193C2×#41—118no—
1194C2×#41—444no—
1195C2×#41—444no—
1196C2×#41—444no—
1197C22×Q8—111no—
1198C22×Q8—111no—
1199C22×Q8—111no—
1200C22×Q8—111no—
1201C22×Q8—111no—
1202C22×Q8—111no—
1203C22×Q8—111no—
1204C22×Q8—111no—
1205C22×Q8—118no—
1206C22×Q8—444no—
1207C22×Q8C22×D1111yescharacteristic
1208C22×D4—111no—
1209C22×D4—111no—
1210C22×D4—111no—
1211C22×D4—111no—
1212C22×D4—111no—
1213C22×D4—111no—
1214C22×D4—111no—
1215C22×D4—111no—
1216C22×D4—111no—
1217C22×D4—111no—
1218C22×D4—118no—
1219C22×D4—111no—
1220C22×D4—111no—
1221C22×D4—444no—
1222C22×D4C22×D1111yescharacteristic
1223C22×D4C22×D1111yescharacteristic
1224C22×D4C22×D1111yescharacteristic
1225C23×C4—111no—
1226C23×C4—111no—
1227C23×C4—111no—
1228C23×C4—111no—
1229C23×C4—111no—
1230C23×C4—111no—
1231C23×C4—111no—
1232C23×C4—111no—
1233C23×C4—111no—
1234C23×C4—111no—
1235C23×C4—111no—
1236C23×C4—118no—
1237C23×C4—111no—
1238C23×C4—111no—
1239C23×C4—111no—
1240C23×C4—111no—
1241C23×C4—111no—
1242C23×C4—111no—
1243C23×C4—111no—
1244C23×C4—444no—
1245C23×C4C22×D1111yescharacteristic
1246C23×C4C22×D1111yescharacteristic
1247C23×C4C22×D1111yescharacteristic
1248C23×C4C22×D1111yescharacteristic
1249C23×C4C22×D1111yescharacteristic
1250C4⋊Q8—118no—
1251C4⋊Q8—118no—
1252C4⋊Q8—118no—
1253C4⋊Q8—118no—
1254C4⋊Q8—118no—
1255C4⋊Q8—118no—
1256#126—118no—
1257#126—118no—
1258#126—118no—
1259#126—118no—
1260#126—118no—
1261#126—118no—
1262#126—118no—
1263#126—118no—
1264#126—118no—
1265#126—118no—
1266#126C22×D1118yescomplemented
1267#126C22×D1118yescomplemented
1268#125—118no—
1269#125—118no—
1270#125—118no—
1271#125—118no—
1272#125—118no—
1273#125—118no—
1274#125—118no—
1275#125—118no—
1276#125—118no—
1277#125—118no—
1278#124—118no—
1279#124—118no—
1280#124—118no—
1281#124—118no—
1282#124—118no—
1283#124—118no—
1284#124—118no—
1285#124C22×D1118yescomplemented
1286#123—118no—
1287#123—118no—
1288#123—118no—
1289#123—118no—
1290#123—118no—
1291#123—118no—
1292#123—118no—
1293#123—118no—
1294#123—118no—
1295#123—118no—
1296#123—118no—
1297#123—118no—
1298#123—118no—
1299#123—118no—
1300#123—118no—
1301#123—118no—
1302#123—118no—
1303#123—118no—
1304#123—118no—
1305#123—118no—
1306#123—118no—
1307#123—118no—
1308#123—118no—
1309#123—118no—
1310#123—118no—
1311#123C22×D1118yes—
1312#123C22×D1118yescomplemented
1313#123C22×D1118yescomplemented
1314C22⋊Q8—118no—
1315C22⋊Q8—118no—
1316C22⋊Q8—118no—
1317C22⋊Q8—118no—
1318C22⋊Q8—118no—
1319C22⋊Q8—118no—
1320C22⋊Q8—118no—
1321C22⋊Q8—118no—
1322C22⋊Q8—118no—
1323C22⋊Q8—118no—
1324C22⋊Q8—118no—
1325C22⋊Q8—118no—
1326C22⋊Q8—118no—
1327C22⋊Q8—118no—
1328C22⋊Q8—118no—
1329C22⋊Q8—118no—
1330C22⋊Q8—118no—
1331C22⋊Q8—118no—
1332C22⋊Q8—118no—
1333C22⋊Q8—118no—
1334C22⋊Q8—118no—
1335C22⋊Q8—118no—
1336C22⋊Q8—118no—
1337C22⋊Q8—118no—
1338C22⋊Q8—118no—
1339C22⋊Q8—118no—
1340C22⋊Q8—118no—
1341C22⋊Q8—118no—
1342C22⋊Q8—118no—
1343C22⋊Q8—118no—
1344C22⋊Q8—118no—
1345C22⋊Q8—118no—
1346C22⋊Q8C22×D1118yes—
1347C22⋊Q8C22×D1118yescomplemented
1348#121—118no—
1349#121—118no—
1350#121—118no—
1351#121—118no—
1352#121—118no—
1353#121—118no—
1354#121—118no—
1355#121—118no—
1356#121—118no—
1357#121—118no—
1358#120—118no—
1359#120—118no—
1360#120—118no—
1361#120C22×D1118yes—
1362C4×Q8—118no—
1363C4×Q8—118no—
1364C4×D4—118no—
1365C4×D4—118no—
1366C4×D4—118no—
1367C4×D4—118no—
1368C4×D4—118no—
1369C4×D4—118no—
1370C4×D4—118no—
1371C4×D4—118no—
1372C4×D4—118no—
1373C4×D4—118no—
1374C4×D4—118no—
1375C4×D4—118no—
1376C4×D4C22×D1118yes—
1377C4×D4C22×D1118yescomplemented
1378#117—118no—
1379#117—118no—
1380#117—118no—
1381#117—118no—
1382#117—118no—
1383#117C22×D1118yes—
1384#117C22×D1118yescomplemented
1385C2×C4⋊C4—111no—
1386C2×C4⋊C4—111no—
1387C2×C4⋊C4—111no—
1388C2×C4⋊C4—111no—
1389C2×C4⋊C4—111no—
1390C2×C4⋊C4—111no—
1391C2×C4⋊C4—111no—
1392C2×C4⋊C4—111no—
1393C2×C4⋊C4—111no—
1394C2×C4⋊C4—111no—
1395C2×C4⋊C4—111no—
1396C2×C4⋊C4—111no—
1397C2×C4⋊C4—111no—
1398C2×C4⋊C4—111no—
1399C2×C4⋊C4—111no—
1400C2×C4⋊C4—111no—
1401C2×C4⋊C4—111no—
1402C2×C4⋊C4—111no—
1403C2×C4⋊C4—111no—
1404C2×C4⋊C4—118no—
1405C2×C4⋊C4—118no—
1406C2×C4⋊C4—118no—
1407C2×C4⋊C4—111no—
1408C2×C4⋊C4—111no—
1409C2×C4⋊C4—111no—
1410C2×C4⋊C4—111no—
1411C2×C4⋊C4—118no—
1412C2×C4⋊C4—118no—
1413C2×C4⋊C4—118no—
1414C2×C4⋊C4—111no—
1415C2×C4⋊C4—111no—
1416C2×C4⋊C4—111no—
1417C2×C4⋊C4—111no—
1418C2×C4⋊C4—111no—
1419C2×C4⋊C4—111no—
1420C2×C4⋊C4—111no—
1421C2×C4⋊C4—111no—
1422C2×C4⋊C4—111no—
1423C2×C4⋊C4—111no—
1424C2×C4⋊C4—111no—
1425C2×C4⋊C4—111no—
1426C2×C4⋊C4—111no—
1427C2×C4⋊C4—111no—
1428C2×C4⋊C4—111no—
1429C2×C4⋊C4—111no—
1430C2×C4⋊C4—111no—
1431C2×C4⋊C4—111no—
1432C2×C4⋊C4—111no—
1433C2×C4⋊C4—118no—
1434C2×C4⋊C4C22×D1111yescharacteristic
1435C2×C4⋊C4C22×D1111yescharacteristic
1436C2×C4⋊C4C22×D1111yescharacteristic
1437C2×C4⋊C4C22×D1111yescharacteristic
1438C2×C4⋊C4C22×D1111yescharacteristic
1439C2×C4⋊C4C22×D1111yescharacteristic
1440C2×C4⋊C4C22×D1111yescharacteristic
1441C2×C4⋊C4C22×D1111yescharacteristic
1442C2×C22⋊C4—111no—
1443C2×C22⋊C4—111no—
1444C2×C22⋊C4—111no—
1445C2×C22⋊C4—111no—
1446C2×C22⋊C4—111no—
1447C2×C22⋊C4—118no—
1448C2×C22⋊C4—111no—
1449C2×C22⋊C4—111no—
1450C2×C22⋊C4—111no—
1451C2×C22⋊C4—111no—
1452C2×C22⋊C4—111no—
1453C2×C22⋊C4—111no—
1454C2×C22⋊C4—111no—
1455C2×C22⋊C4—111no—
1456C2×C22⋊C4—111no—
1457C2×C22⋊C4—111no—
1458C2×C22⋊C4—111no—
1459C2×C22⋊C4—111no—
1460C2×C22⋊C4—111no—
1461C2×C22⋊C4—111no—
1462C2×C22⋊C4—111no—
1463C2×C22⋊C4—111no—
1464C2×C22⋊C4—111no—
1465C2×C22⋊C4—118no—
1466C2×C22⋊C4—118no—
1467C2×C22⋊C4—111no—
1468C2×C22⋊C4—111no—
1469C2×C22⋊C4—111no—
1470C2×C22⋊C4—111no—
1471C2×C22⋊C4—111no—
1472C2×C22⋊C4—111no—
1473C2×C22⋊C4—111no—
1474C2×C22⋊C4—111no—
1475C2×C22⋊C4—111no—
1476C2×C22⋊C4—111no—
1477C2×C22⋊C4—118no—
1478C2×C22⋊C4—118no—
1479C2×C22⋊C4C22×D1111yescharacteristic
1480C2×C22⋊C4C22×D1111yescharacteristic
1481C2×C22⋊C4C22×D1111yescharacteristic
1482C2×C22⋊C4C22×D1111yescharacteristic
1483C2×C22⋊C4C22×D1111yescharacteristic
1484C2×C22⋊C4C22×D1111yescharacteristic
1485C2×C22⋊C4C22×D1111yescharacteristic
1486C2×C22⋊C4C22×D1118yes—
1487C2×C22⋊C4C22×D1111yescharacteristic
1488C2×C22⋊C4C22×D1111yescharacteristic
1489C2×C22⋊C4C22×D1118yes—
1490C2×C22⋊C4C22×D1111yescharacteristic
1491C2×C22⋊C4C22×D1111yescharacteristic
1492C2×C22⋊C4C22×D1111yescharacteristic
1493C2×C22⋊C4C22×D1111yescharacteristic
1494C2×C22⋊C4C22×D1111yescharacteristic
1495C2×C42—111no—
1496C2×C42—111no—
1497C2×C42—111no—
1498C2×C42—111no—
1499C2×C42—111no—
1500C2×C42—111no—
1501C2×C42—111no—
1502C2×C42C22×D1111yescharacteristic
1503C2×C42C22×D1111yescharacteristic
1504C2×C42C22×D1111yescharacteristic
1505C2×C11—24no—
1506C2×C11—24no—
1507C2×C11—42no—
1508C2×C11—42no—
1509C2×C11#353514yescomplemented
1510C2×C11C22×H(5,𝔽2)11yescharacteristic
1511C2×C11C22×2−1+411yescharacteristic
1512C2×C11C2×#58511yescharacteristic
1513D11—42no—
1514D11—42no—
1515D11—42no—
1516C24—24no—
1517C24—24no—
1518C24—42no—
1519C24—111no—
1520C24—111no—
1521C24—111no—
1522C24—114no—
1523C24—224no—
1524C24—442no—
1525C24—442no—
1526C24C23×D1111yescharacteristic
1527C24C23×D1111yescharacteristic
1528C24C23×D1114yes—
1529C24C23×D1111yescharacteristic
1530C24C23×D1111yescharacteristic
1531#41—4416no—
1532#41—4416no—
1533#41—4416no—
1534C2×Q8—42no—
1535C2×Q8—114no—
1536C2×Q8—114no—
1537C2×Q8—114no—
1538C2×Q8—114no—
1539C2×Q8—114no—
1540C2×Q8—114no—
1541C2×Q8—114no—
1542C2×Q8—114no—
1543C2×Q8—442no—
1544C2×Q8—442no—
1545C2×Q8—442no—
1546C2×Q8—442no—
1547C2×Q8—4416no—
1548C2×Q8—442no—
1549C2×Q8—442no—
1550C2×Q8—442no—
1551C2×Q8—442no—
1552C2×Q8C23×D1114yes—
1553C2×D4—24no—
1554C2×D4—24no—
1555C2×D4—42no—
1556C2×D4—114no—
1557C2×D4—114no—
1558C2×D4—114no—
1559C2×D4—114no—
1560C2×D4—114no—
1561C2×D4—114no—
1562C2×D4—114no—
1563C2×D4—114no—
1564C2×D4—114no—
1565C2×D4—114no—
1566C2×D4—114no—
1567C2×D4—114no—
1568C2×D4—224no—
1569C2×D4—224no—
1570C2×D4—224no—
1571C2×D4—224no—
1572C2×D4—442no—
1573C2×D4—442no—
1574C2×D4—442no—
1575C2×D4—442no—
1576C2×D4—442no—
1577C2×D4—442no—
1578C2×D4—442no—
1579C2×D4—442no—
1580C2×D4—4416no—
1581C2×D4C23×D1114yes—
1582C2×D4C23×D1114yes—
1583C2×D4C23×D1114yes—
1584C22×C4—24no—
1585C22×C4—24no—
1586C22×C4—42no—
1587C22×C4—42no—
1588C22×C4—42no—
1589C22×C4—114no—
1590C22×C4—114no—
1591C22×C4—114no—
1592C22×C4—111no—
1593C22×C4—111no—
1594C22×C4—111no—
1595C22×C4—111no—
1596C22×C4—111no—
1597C22×C4—111no—
1598C22×C4—111no—
1599C22×C4—111no—
1600C22×C4—111no—
1601C22×C4—111no—
1602C22×C4—111no—
1603C22×C4—111no—
1604C22×C4—111no—
1605C22×C4—114no—
1606C22×C4—114no—
1607C22×C4—114no—
1608C22×C4—114no—
1609C22×C4—114no—
1610C22×C4—114no—
1611C22×C4—114no—
1612C22×C4—114no—
1613C22×C4—114no—
1614C22×C4—114no—
1615C22×C4—114no—
1616C22×C4—114no—
1617C22×C4—114no—
1618C22×C4—114no—
1619C22×C4—114no—
1620C22×C4—224no—
1621C22×C4—224no—
1622C22×C4—224no—
1623C22×C4—442no—
1624C22×C4—442no—
1625C22×C4—442no—
1626C22×C4—442no—
1627C22×C4—442no—
1628C22×C4—442no—
1629C22×C4—442no—
1630C22×C4—442no—
1631C22×C4—442no—
1632C22×C4—442no—
1633C22×C4—442no—
1634C22×C4—4416no—
1635C22×C4—442no—
1636C22×C4—442no—
1637C22×C4—442no—
1638C22×C4—442no—
1639C22×C4C23×D1114yes—
1640C22×C4C23×D1114yes—
1641C22×C4C23×D1111yescharacteristic
1642C22×C4C23×D1111yescharacteristic
1643C22×C4C23×D1111yescharacteristic
1644C22×C4C23×D1111yescharacteristic
1645C22×C4C23×D1111yescharacteristic
1646C22×C4C23×D1111yescharacteristic
1647C22×C4C23×D1111yescharacteristic
1648C22×C4C23×D1111yescharacteristic
1649C22×C4C23×D1111yescharacteristic
1650C22×C4C23×D1111yescharacteristic
1651C22×C4C23×D1111yescharacteristic
1652C22×C4C23×D1114yes—
1653C22×C4C23×D1114yes—
1654C22×C4C23×D1114yes—
1655C4⋊C4—114no—
1656C4⋊C4—114no—
1657C4⋊C4—114no—
1658C4⋊C4—114no—
1659C4⋊C4—114no—
1660C4⋊C4—114no—
1661C4⋊C4—114no—
1662C4⋊C4—114no—
1663C4⋊C4—114no—
1664C4⋊C4—114no—
1665C4⋊C4—114no—
1666C4⋊C4—114no—
1667C4⋊C4—114no—
1668C4⋊C4—114no—
1669C4⋊C4—114no—
1670C4⋊C4—114no—
1671C4⋊C4—114no—
1672C4⋊C4—114no—
1673C4⋊C4—114no—
1674C4⋊C4—114no—
1675C4⋊C4—114no—
1676C4⋊C4—114no—
1677C4⋊C4—114no—
1678C4⋊C4—114no—
1679C4⋊C4—114no—
1680C4⋊C4—114no—
1681C4⋊C4—114no—
1682C4⋊C4—114no—
1683C4⋊C4—114no—
1684C4⋊C4—114no—
1685C4⋊C4—114no—
1686C4⋊C4—114no—
1687C4⋊C4—114no—
1688C4⋊C4—114no—
1689C4⋊C4—114no—
1690C4⋊C4—114no—
1691C4⋊C4—114no—
1692C4⋊C4—114no—
1693C4⋊C4—114no—
1694C4⋊C4—114no—
1695C4⋊C4—114no—
1696C4⋊C4—114no—
1697C4⋊C4C23×D1114yes—
1698C4⋊C4C23×D1114yes—
1699C4⋊C4C23×D1114yes—
1700C4⋊C4C23×D1114yes—
1701C4⋊C4C23×D1114yes—
1702C4⋊C4C23×D1114yes—
1703C4⋊C4C23×D1114yes—
1704C4⋊C4C23×D1114yes—
1705C22⋊C4—114no—
1706C22⋊C4—114no—
1707C22⋊C4—114no—
1708C22⋊C4—114no—
1709C22⋊C4—114no—
1710C22⋊C4—114no—
1711C22⋊C4—114no—
1712C22⋊C4—114no—
1713C22⋊C4—114no—
1714C22⋊C4—114no—
1715C22⋊C4—114no—
1716C22⋊C4—114no—
1717C22⋊C4—114no—
1718C22⋊C4—114no—
1719C22⋊C4—114no—
1720C22⋊C4—114no—
1721C22⋊C4—114no—
1722C22⋊C4—114no—
1723C22⋊C4—114no—
1724C22⋊C4—114no—
1725C22⋊C4—114no—
1726C22⋊C4—114no—
1727C22⋊C4—114no—
1728C22⋊C4—114no—
1729C22⋊C4—114no—
1730C22⋊C4—114no—
1731C22⋊C4—114no—
1732C22⋊C4—114no—
1733C22⋊C4—114no—
1734C22⋊C4—114no—
1735C22⋊C4—114no—
1736C22⋊C4—114no—
1737C22⋊C4C23×D1114yes—
1738C22⋊C4C23×D1114yes—
1739C22⋊C4C23×D1114yes—
1740C22⋊C4C23×D1114yes—
1741C22⋊C4C23×D1114yes—
1742C22⋊C4C23×D1114yes—
1743C22⋊C4C23×D1114yes—
1744C22⋊C4C23×D1114yes—
1745C22⋊C4C23×D1114yes—
1746C22⋊C4C23×D1114yes—
1747C22⋊C4C23×D1114yes—
1748C22⋊C4C23×D1114yes—
1749C22⋊C4C23×D1114yes—
1750C22⋊C4C23×D1114yes—
1751C42—114no—
1752C42—114no—
1753C42—114no—
1754C42—114no—
1755C42—114no—
1756C42—114no—
1757C42—114no—
1758C42C23×D1114yes—
1759C42C23×D1114yes—
1760C42C23×D1114yes—
1761C11C2×#353511yescharacteristic, complemented, Sylow
1762C23—22no—
1763C23—22no—
1764C23—22no—
1765C23—22no—
1766C23—22no—
1767C23—28no—
1768C23—22no—
1769C23—22no—
1770C23—28no—
1771C23—22no—
1772C23—22no—
1773C23—22no—
1774C23—44no—
1775C23—416no—
1776C23—112no—
1777C23—112no—
1778C23—112no—
1779C23—222no—
1780C23—222no—
1781C23—222no—
1782C23—222no—
1783C23—222no—
1784C23—222no—
1785C23—222no—
1786C23—222no—
1787C23—222no—
1788C23—228no—
1789C23—444no—
1790C23—444no—
1791C23—888no—
1792C23#6704214yes—
1793C23#6704314yes—
1794C23C24×D1112yes—
1795C23C24×D1112yes—
1796C23C24×D1112yes—
1797C23C24×D1112yes—
1798C23C24×D1111yescharacteristic
1799Q8—44no—
1800Q8—444no—
1801Q8—444no—
1802Q8—444no—
1803Q8—444no—
1804Q8—444no—
1805Q8—444no—
1806Q8—444no—
1807Q8—444no—
1808D4—28no—
1809D4—28no—
1810D4—44no—
1811D4—228no—
1812D4—228no—
1813D4—228no—
1814D4—228no—
1815D4—444no—
1816D4—444no—
1817D4—444no—
1818D4—444no—
1819D4—444no—
1820D4—444no—
1821D4—444no—
1822D4—444no—
1823C2×C4—22no—
1824C2×C4—22no—
1825C2×C4—28no—
1826C2×C4—22no—
1827C2×C4—28no—
1828C2×C4—22no—
1829C2×C4—22no—
1830C2×C4—22no—
1831C2×C4—22no—
1832C2×C4—22no—
1833C2×C4—22no—
1834C2×C4—22no—
1835C2×C4—22no—
1836C2×C4—44no—
1837C2×C4—44no—
1838C2×C4—44no—
1839C2×C4—112no—
1840C2×C4—112no—
1841C2×C4—112no—
1842C2×C4—112no—
1843C2×C4—112no—
1844C2×C4—112no—
1845C2×C4—112no—
1846C2×C4—112no—
1847C2×C4—112no—
1848C2×C4—112no—
1849C2×C4—112no—
1850C2×C4—112no—
1851C2×C4—112no—
1852C2×C4—222no—
1853C2×C4—222no—
1854C2×C4—228no—
1855C2×C4—222no—
1856C2×C4—222no—
1857C2×C4—222no—
1858C2×C4—228no—
1859C2×C4—222no—
1860C2×C4—228no—
1861C2×C4—222no—
1862C2×C4—222no—
1863C2×C4—222no—
1864C2×C4—222no—
1865C2×C4—222no—
1866C2×C4—222no—
1867C2×C4—222no—
1868C2×C4—444no—
1869C2×C4—444no—
1870C2×C4—444no—
1871C2×C4—444no—
1872C2×C4—444no—
1873C2×C4—444no—
1874C2×C4—444no—
1875C2×C4—444no—
1876C2×C4—444no—
1877C2×C4—444no—
1878C2×C4—444no—
1879C2×C4—444no—
1880C2×C4—444no—
1881C2×C4—444no—
1882C2×C4—444no—
1883C2×C4C24×D1112yes—
1884C2×C4C24×D1112yes—
1885C2×C4C24×D1112yes—
1886C2×C4C24×D1112yes—
1887C2×C4C24×D1112yes—
1888C2×C4C24×D1112yes—
1889C2×C4C24×D1112yes—
1890C2×C4C24×D1112yes—
1891C2×C4C24×D1112yes—
1892C2×C4C24×D1112yes—
1893C2×C4C24×D1112yes—
1894C22—22no—
1895C22—22no—
1896C22—22no—
1897C22—22no—
1898C22—28no—
1899C22—28no—
1900C22—22no—
1901C22—22no—
1902C22—22no—
1903C22—22no—
1904C22—22no—
1905C22—22no—
1906C22—416no—
1907C22—44no—
1908C22—44no—
1909C22—222no—
1910C22—222no—
1911C22—222no—
1912C22—222no—
1913C22—222no—
1914C22—222no—
1915C22—222no—
1916C22—222no—
1917C22—222no—
1918C22—444no—
1919C22—444no—
1920C22—444no—
1921C22—888no—
1922C22C2×#6704214yes—
1923C22C2×#6704212yes—
1924C22C2×#6704314yes—
1925C22C2×#6704312yes—
1926C22#1062345512yes—
1927C22C25×D1111yescharacteristic
1928C4—22no—
1929C4—22no—
1930C4—22no—
1931C4—22no—
1932C4—22no—
1933C4—22no—
1934C4—22no—
1935C4—22no—
1936C4—22no—
1937C4—22no—
1938C4—22no—
1939C4—222no—
1940C4—222no—
1941C4—222no—
1942C4—222no—
1943C4—222no—
1944C4—222no—
1945C4—222no—
1946C4—222no—
1947C4—222no—
1948C4—222no—
1949C4—222no—
1950C4—222no—
1951C4—222no—
1952C2—24no—
1953C2—24no—
1954C2—42no—
1955C2—42no—
1956C2—442no—
1957C2—442no—
1958C2—442no—
1959C2#1308282114yesdirect product factor
1960C2C22×#6704211yescharacteristic
1961C2C22×#6704311yescharacteristic
1962C2C2×#1062345511yescharacteristic
subgroupG/H
centerC23C24×D11
commutator, cosocleC22×C11C26
FrattiniC22C25×D11
FittingC2×C11×#551C2
socleC23×C11C25
hypercenterC2×#551D11
hypocenterC11C2×#3535
LCSG ▷ C22×C11 ▷ C11
UCSC1 ◁ C23 ◁ C2×#551

Complements

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

NH ≅ G/Ntype
1. #13082821C2direct (N × H)
2. C2×#10623243C2semidirect
3. C2×#10623243C2semidirect
4. C2×#10623198C2semidirect
5. C2×#10623215C2semidirect
6. C2×#10623166C2semidirect
7. C2×#10623074C2semidirect
8. C2×#10623173C2semidirect
9. C2×#10623062C2semidirect
10. C2×#10623026C2semidirect
11. C2×#10623058C2semidirect
12. C2×#10623189C2semidirect
13. C2×#10623086C2semidirect
14. C2×#10623186C2semidirect
15. C2×#10623021C2semidirect
16. C2×#10623122C2semidirect
17. C2×#10623050C2semidirect
18. C2×#10623165C2semidirect
19. C2×#10623213C2semidirect
20. C2×#10623241C2semidirect
21. C2×#10623176C2semidirect
22. C2×#10623196C2semidirect
23. C2×#10623196C2semidirect
24. C2×#10623095C2semidirect
25. C2×#10623238C2semidirect
26. C2×#10623091C2semidirect
27. C2×#10623057C2semidirect
28. C2×#10623179C2semidirect
29. C2×#10623117C2semidirect
30. C22×#66939C2semidirect
31. C22×#66931C2semidirect
32. C2×C11×#551C2semidirect
36. C22×#4341C22semidirect
38. C23×Dic22C22semidirect
39. C11×#551C22semidirect
40. C2×C11×#126C22semidirect
41. C2×C11×#126C22semidirect
42. C2×C11×#124C22semidirect
44. C2×C11×#123C22semidirect
45. C2×C11×#123C22semidirect
47. C2×C11×C22⋊Q8C22semidirect
50. C2×C4×D4×C11C22semidirect
52. C2×C11×#117C22semidirect
57. C2×#66999C22semidirect
58. C2×#66999C22semidirect
59. C2×#66999C22semidirect
60. C2×Q8×Dic11C22semidirect
64. C2×#66992C22semidirect
67. C2×#66988C22semidirect
70. C2×D4×Dic11C22semidirect
72. C2×#66983C22semidirect
75. C2×#66982C22semidirect
83. C22×C4⋊Dic11C22semidirect
84. C22×C4⋊Dic11C22semidirect
86. C2×#66977C22semidirect
87. C22×Dic11⋊C4C22semidirect
88. C22×Dic11⋊C4C22semidirect
89. #10623243C22semidirect
90. #10623243C22semidirect
91. #10623241C22semidirect
92. #10623238C22semidirect
93. #10623215C22semidirect
94. #10623213C22semidirect
95. #10623198C22semidirect
96. #10623196C22semidirect
97. #10623196C22semidirect
98. #10623189C22semidirect
99. #10623186C22semidirect
100. #10623179C22semidirect
101. #10623176C22semidirect
102. #10623173C22semidirect
103. #10623166C22semidirect
104. #10623165C22semidirect
105. #10623122C22semidirect
106. #10623117C22semidirect
107. #10623095C22semidirect
108. #10623091C22semidirect
109. #10623086C22semidirect
110. #10623074C22semidirect
111. #10623062C22semidirect
112. #10623058C22semidirect
113. #10623057C22semidirect
114. #10623050C22semidirect
115. C2×#66951C22semidirect
116. C2×#66951C22semidirect
117. C2×#66951C22semidirect
118. C2×#66951C22semidirect
119. C2×#66951C22semidirect
120. C2×#66950C22semidirect
121. C2×#66950C22semidirect
122. C2×#66950C22semidirect
123. C2×#66950C22semidirect
124. C2×#66950C22semidirect
125. C2×#66950C22semidirect
126. C2×#66949C22semidirect
127. C2×#66949C22semidirect
128. C2×#66949C22semidirect
129. C2×#66949C22semidirect
130. C2×#66949C22semidirect
131. C2×#66947C22semidirect
132. C2×#66947C22semidirect
133. C2×#66947C22semidirect
134. C2×#66945C22semidirect
135. C2×C4⋊C4×D11C22semidirect
136. C2×#66943C22semidirect
137. C2×#66943C22semidirect
138. C2×#66943C22semidirect
139. C2×#66943C22semidirect
140. C2×#66943C22semidirect
141. C2×#66942C22semidirect
142. C2×#66942C22semidirect
143. C2×#66942C22semidirect
144. C2×#66941C22semidirect
145. C2×#66941C22semidirect
146. C2×#66941C22semidirect
147. #10623026C22semidirect
157. C2×#66939C22semidirect
158. C2×#66939C22semidirect
159. C2×#66939C22semidirect
160. C2×#66939C22semidirect
161. C2×#66939C22semidirect
164. C2×#66938C22semidirect
165. C2×#66938C22semidirect
166. C2×#66938C22semidirect
167. #10623021C22semidirect
170. C2×#66937C22semidirect
173. C2×#66936C22semidirect
174. C2×#66936C22semidirect
175. C2×#66936C22semidirect
180. C2×(C22⋊D11)⋊C4C22semidirect
181. C2×(C22⋊D11)⋊C4C22semidirect
182. C2×(C22⋊D11)⋊C4C22semidirect
185. C2×#66932C22semidirect
186. C2×#66932C22semidirect
187. C2×#66932C22semidirect
195. C2×#66931C22semidirect
196. C2×#66931C22semidirect
197. C2×#66931C22semidirect
198. C2×#66931C22semidirect
199. C2×#66931C22semidirect
200. C2×#66931C22semidirect
201. C2×#66931C22semidirect
202. C2×#66931C22semidirect
203. C2×#66931C22semidirect
204. C2×#66931C22semidirect
205. C2×#66930C22semidirect
206. C2×#66930C22semidirect
207. C2×#66929C22semidirect
208. C2×#66929C22semidirect
209. C2×#66928C22semidirect
210. C2×#66928C22semidirect
211. C2×C4×D44C22semidirect
212. C2×#66925C22semidirect
213. C2×#66923C22semidirect
214. C2×#66923C22semidirect
215. C2×#66922C22semidirect
216. C2×#66922C22semidirect
217. C2×#66922C22semidirect
218. C2×C4×Dic22C22semidirect
258. C2×#4341C23semidirect
279. C22×Dic22C23semidirect
280. C11×#126C23semidirect
281. C11×#126C23semidirect
282. C11×#124C23semidirect
284. C11×#123C23semidirect
285. C11×#123C23semidirect
287. C11×C22⋊Q8C23semidirect
290. C4×D4×C11C23semidirect
292. C11×#117C23semidirect
332. #66999C23semidirect
333. #66999C23semidirect
334. #66999C23semidirect
335. Q8×Dic11C23semidirect
339. #66992C23semidirect
342. #66988C23semidirect
345. D4×Dic11C23semidirect
347. #66983C23semidirect
350. #66982C23semidirect
400. C2×C4⋊Dic11C23semidirect
401. C2×C4⋊Dic11C23semidirect
403. #66977C23semidirect
426. C2×Dic11⋊C4C23semidirect
427. C2×Dic11⋊C4C23semidirect
435. #66951C23semidirect
436. #66951C23semidirect
437. #66951C23semidirect
438. #66951C23semidirect
439. #66951C23semidirect
440. #66950C23semidirect
441. #66950C23semidirect
442. #66950C23semidirect
443. #66950C23semidirect
444. #66950C23semidirect
445. #66950C23semidirect
446. #66949C23semidirect
447. #66949C23semidirect
448. #66949C23semidirect
449. #66949C23semidirect
450. #66949C23semidirect
451. #66947C23semidirect
452. #66947C23semidirect
453. #66947C23semidirect
454. #66945C23semidirect
455. C4⋊C4×D11C23semidirect
456. #66943C23semidirect
457. #66943C23semidirect
458. #66943C23semidirect
459. #66943C23semidirect
460. #66943C23semidirect
461. #66942C23semidirect
462. #66942C23semidirect
463. #66942C23semidirect
464. #66941C23semidirect
465. #66941C23semidirect
466. #66941C23semidirect
476. #66939C23semidirect
477. #66939C23semidirect
478. #66939C23semidirect
479. #66939C23semidirect
482. #66938C23semidirect
483. #66938C23semidirect
484. #66938C23semidirect
487. #66937C23semidirect
490. #66936C23semidirect
491. #66936C23semidirect
492. #66936C23semidirect
497. (C22⋊D11)⋊C4C23semidirect
498. (C22⋊D11)⋊C4C23semidirect
499. (C22⋊D11)⋊C4C23semidirect
502. #66932C23semidirect
503. #66932C23semidirect
504. #66932C23semidirect
512. #66931C23semidirect
513. #66931C23semidirect
514. #66931C23semidirect
515. #66931C23semidirect
516. #66931C23semidirect
517. #66931C23semidirect
518. #66931C23semidirect
519. #66931C23semidirect
520. #66931C23semidirect
521. #66930C23semidirect
522. #66930C23semidirect
523. #66929C23semidirect
524. #66929C23semidirect
525. #66928C23semidirect
526. #66928C23semidirect
527. C4×D44C23semidirect
528. #66925C23semidirect
529. #66923C23semidirect
530. #66923C23semidirect
531. #66922C23semidirect
532. #66922C23semidirect
533. #66922C23semidirect
534. C4×Dic22C23semidirect
793. C2×#551D11semidirect
962. #551C2×D11semidirect
995. C2×#126C2×D11semidirect
996. C2×#126C2×D11semidirect
1014. C2×#124C2×D11semidirect
1043. C2×#123C2×D11semidirect
1044. C2×#123C2×D11semidirect
1079. C2×C22⋊Q8C2×D11semidirect
1109. C2×C4×D4C2×D11semidirect
1116. C2×#117C2×D11semidirect
1266. #126C22×D11semidirect
1267. #126C22×D11semidirect
1285. #124C22×D11semidirect
1312. #123C22×D11semidirect
1313. #123C22×D11semidirect
1347. C22⋊Q8C22×D11semidirect
1377. C4×D4C22×D11semidirect
1384. #117C22×D11semidirect
1509. C2×C11#3535semidirect
1761. C11C2×#3535semidirect
1959. C2#13082821direct (N × H)

Maximal subgroups

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

subgroupindex
#130828212
C2×#106232432
C2×#106231982
C2×#106232152
C2×#106231662
C2×#106230742
C2×#106231732
C2×#106230622
C2×#106230262
C2×#106230582
C2×#106231892
C2×#106230862
C2×#106231862
C2×#106230212
C2×#106231222
C2×#106230502
C2×#106231652
C2×#106232132
C2×#106232412
C2×#106231762
C2×#106231962
C2×#106230952
C2×#106232382
C2×#106230912
C2×#106230572
C2×#106231792
C2×#106231172
C22×#669392
C22×#669312
C2×C11×#5512
C2×#353511