Finite Group Databasebeta

← C2×#13083171 #15661184

Subgroups — C2×#13083171 #15661184

Order 2816.

7398 conjugacy classes of subgroups.

The subgroup lattice has 2032 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#13083171C2132yesmaximal, direct product factor
2C2×#10623177C211yesmaximal, characteristic, complemented
3C2×#10623266C211yesmaximal, characteristic, complemented
4C2×#10623197C211yesmaximal, characteristic, complemented
5C2×#10623151C211yesmaximal, characteristic, complemented
6C2×#10623240C211yesmaximal, characteristic, complemented
7C2×#10623240C211yesmaximal, characteristic, complemented
8C2×#10623071C211yesmaximal, characteristic, complemented
9C2×#10623061C211yesmaximal, characteristic, complemented
10C2×#10623210C211yesmaximal, characteristic, complemented
11C2×#10623058C211yesmaximal, characteristic, complemented
12C2×#10623257C211yesmaximal, characteristic, complemented
13C2×#10623186C211yesmaximal, characteristic, complemented
14C2×#10623081C211yesmaximal, characteristic, complemented
15C2×#10623207C211yesmaximal, characteristic, complemented
16C2×#10623161C211yesmaximal, characteristic, complemented
17C2×#10623141C211yesmaximal, characteristic, complemented
18C2×#10623113C211yesmaximal, characteristic, complemented
19C2×#10623176C211yesmaximal, characteristic, complemented
20C2×#10623169C211yesmaximal, characteristic, complemented
21C2×#10623191C211yesmaximal, characteristic, complemented
22C2×#10623175C211yesmaximal, characteristic, complemented
23C2×#10623235C211yesmaximal, characteristic, complemented
24C2×#10623209C211yesmaximal, characteristic, complemented
25C2×#10623209C211yesmaximal, characteristic, complemented
26C2×#10623209C211yesmaximal, characteristic, complemented
27C2×#10623160C211yesmaximal, characteristic, complemented
28C2×#10623184C211yesmaximal, characteristic, complemented
29C2×#10623199C211yesmaximal, characteristic, complemented
30C2×#10623111C211yesmaximal, characteristic, complemented
31C2×D11×#126C211yesmaximal, characteristic, complemented
32C2×C11×#542C211yesmaximal, characteristic, complemented
33C22×#4343C2211yescharacteristic, complemented
34C22×#4343C2211yescharacteristic, complemented
35C22×#4341C2211yescharacteristic, complemented
36C22×D4×D11C2211yescharacteristic
37C22×#4339C2211yescharacteristic, complemented
38C23×D44C2211yescharacteristic
39C11×#542C22116yescomplemented
40C2×C11×C4⋊Q8C2211yescharacteristic, complemented
41C2×C11×#126C2211yescharacteristic, complemented
42C2×C11×#126C2211yescharacteristic, complemented
43C2×C11×#124C2211yescharacteristic
44C2×C11×#124C2211yescharacteristic, complemented
45C2×C11×#124C2211yescharacteristic, complemented
46C2×C11×#123C2211yescharacteristic
47C2×C11×#123C2211yescharacteristic, complemented
48C2×C11×C22⋊Q8C2211yescharacteristic, complemented
49C2×C11×C22⋊Q8C2211yescharacteristic, complemented
50C2×C11×C22⋊Q8C2211yescharacteristic, complemented
51C2×C11×#121C2211yescharacteristic
52C2×C4×Q8×C11C2211yescharacteristic, complemented
53C2×C4×D4×C11C2211yescharacteristic, complemented
54C2×C11×#117C2211yescharacteristic, complemented
55C2×#67000C2211yescharacteristic
56C2×#67000C2211yescharacteristic, complemented
57C2×#67000C2211yescharacteristic, complemented
58C2×#66999C2211yescharacteristic, complemented
59C2×#66999C2211yescharacteristic, complemented
60C2×#66999C2211yescharacteristic, complemented
61C2×#66999C2211yescharacteristic, complemented
62C2×#66999C2211yescharacteristic, complemented
63C2×#66999C2211yescharacteristic, complemented
64C2×#66997C2211yescharacteristic, complemented
65C2×#66993C2211yescharacteristic, complemented
66C2×#66992C2211yescharacteristic
67C2×#66992C2211yescharacteristic, complemented
68C2×#66992C2211yescharacteristic, complemented
69C2×#66991C2211yescharacteristic
70C2×#66990C2211yescharacteristic
71C2×#66990C2211yescharacteristic
72C2×#66990C2211yescharacteristic, complemented
73C2×#66990C2211yescharacteristic, complemented
74C2×#66988C2211yescharacteristic
75C2×#66983C2211yescharacteristic
76C2×#66983C2211yescharacteristic, complemented
77C2×#66983C2211yescharacteristic, complemented
78C2×#66982C2211yescharacteristic
79C2×#66982C2211yescharacteristic, complemented
80C2×C4×C22⋊D11C2211yescharacteristic, complemented
81C2×C4×C22⋊D11C2211yescharacteristic, complemented
82C22×(C2×D11)⋊C4C2211yescharacteristic, complemented
83C2×#66977C2211yescharacteristic, complemented
84C22×Dic11⋊C4C2211yescharacteristic, complemented
85#10623266C22116yescomplemented
86#10623257C22116yescomplemented
87#10623240C22116yescomplemented
88#10623240C22116yescomplemented
89#10623235C22116yescomplemented
90D11×#126C22116yescomplemented
91#10623210C22116yescomplemented
92#10623209C22116yescomplemented
93#10623209C22116yescomplemented
94#10623209C22116yescomplemented
95#10623207C22116yescomplemented
96#10623199C22116yescomplemented
97#10623197C22116yescomplemented
98#10623191C22116yescomplemented
99#10623186C22116yescomplemented
100#10623184C22116yescomplemented
101#10623177C22116yescomplemented
102#10623176C22116yescomplemented
103#10623175C22116yescomplemented
104#10623169C22116yescomplemented
105#10623161C22116yescomplemented
106#10623160C22116yescomplemented
107#10623151C22116yescomplemented
108#10623141C22116yescomplemented
109#10623113C22116yescomplemented
110#10623111C22116yescomplemented
111#10623081C22116yescomplemented
112#10623071C22116yescomplemented
113#10623061C22116yescomplemented
114#10623058C22116yescomplemented
115C2×#66951C2211yescharacteristic, complemented
116C2×#66951C2211yescharacteristic, complemented
117C2×#66951C2211yescharacteristic, complemented
118C2×#66951C2211yescharacteristic, complemented
119C2×#66951C2211yescharacteristic, complemented
120C2×#66951C2211yescharacteristic, complemented
121C2×#66951C2211yescharacteristic, complemented
122C2×#66949C2211yescharacteristic, complemented
123C2×#66949C2211yescharacteristic, complemented
124C2×#66949C2211yescharacteristic, complemented
125C2×#66949C2211yescharacteristic, complemented
126C2×#66948C2211yescharacteristic
127C2×#66948C2211yescharacteristic
128C2×#66948C2211yescharacteristic
129C2×#66948C2211yescharacteristic
130C2×#66948C2211yescharacteristic, complemented
131C2×#66948C2211yescharacteristic, complemented
132C2×#66948C2211yescharacteristic, complemented
133C2×#66947C2211yescharacteristic
134C2×#66947C2211yescharacteristic
135C2×#66947C2211yescharacteristic
136C2×#66947C2211yescharacteristic
137C2×#66947C2211yescharacteristic, complemented
138C2×#66947C2211yescharacteristic, complemented
139C2×#66947C2211yescharacteristic, complemented
140C2×#66947C2211yescharacteristic, complemented
141C2×#66947C2211yescharacteristic, complemented
142C2×#66947C2211yescharacteristic, complemented
143C2×#66946C2211yescharacteristic, complemented
144C2×#66946C2211yescharacteristic, complemented
145C2×C4⋊C4×D11C2211yescharacteristic, complemented
146C2×C4⋊C4×D11C2211yescharacteristic, complemented
147C2×C4⋊C4×D11C2211yescharacteristic, complemented
148C2×C4⋊C4×D11C2211yescharacteristic, complemented
149C2×#66943C2211yescharacteristic, complemented
150C2×#66943C2211yescharacteristic, complemented
151C2×#66942C2211yescharacteristic, complemented
152C2×#66942C2211yescharacteristic, complemented
153C2×#66942C2211yescharacteristic, complemented
154C2×#66941C2211yescharacteristic, complemented
155C2×#66939C2211yescharacteristic, complemented
156C2×#66939C2211yescharacteristic, complemented
157C2×#66939C2211yescharacteristic, complemented
158C2×#66938C2211yescharacteristic
159C2×#66937C2211yescharacteristic
160C2×#66937C2211yescharacteristic
161C2×#66937C2211yescharacteristic
162C2×#66937C2211yescharacteristic
163C2×#66937C2211yescharacteristic, complemented
164C2×#66937C2211yescharacteristic, complemented
165C2×#66937C2211yescharacteristic, complemented
166C2×#66937C2211yescharacteristic, complemented
167C2×#66937C2211yescharacteristic, complemented
168C2×#66937C2211yescharacteristic, complemented
169C2×#66937C2211yescharacteristic, complemented
170C2×#66937C2211yescharacteristic, complemented
171C2×#66936C2211yescharacteristic
172C2×#66936C2211yescharacteristic, complemented
173C2×#66936C2211yescharacteristic, complemented
174C2×#66936C2211yescharacteristic, complemented
175C2×#66936C2211yescharacteristic, complemented
176C2×#66936C2211yescharacteristic, complemented
177C2×#66935C2211yescharacteristic
178C2×#66935C2211yescharacteristic
179C2×#66935C2211yescharacteristic
180C2×#66935C2211yescharacteristic
181C2×#66935C2211yescharacteristic, complemented
182C2×#66935C2211yescharacteristic, complemented
183C2×(C22⋊D11)⋊C4C2211yescharacteristic, complemented
184C2×(C22⋊D11)⋊C4C2211yescharacteristic, complemented
185C2×(C22⋊D11)⋊C4C2211yescharacteristic, complemented
186C2×(C22⋊D11)⋊C4C2211yescharacteristic, complemented
187C2×(C22⋊D11)⋊C4C2211yescharacteristic, complemented
188C2×(C22⋊D11)⋊C4C2211yescharacteristic, complemented
189C2×(C22⋊D11)⋊C4C2211yescharacteristic, complemented
190C2×(C22⋊D11)⋊C4C2211yescharacteristic, complemented
191C2×C22⋊C4×D11C2211yescharacteristic
192C2×C22⋊C4×D11C2211yescharacteristic
193C2×C22⋊C4×D11C2211yescharacteristic
194C2×C22⋊C4×D11C2211yescharacteristic, complemented
195C2×C22⋊C4×D11C2211yescharacteristic, complemented
196C2×C22⋊C4×D11C2211yescharacteristic, complemented
197C2×#66932C2211yescharacteristic, complemented
198C2×#66932C2211yescharacteristic, complemented
199C2×#66932C2211yescharacteristic, complemented
200C2×#66932C2211yescharacteristic, complemented
201C2×#66932C2211yescharacteristic, complemented
202C2×#66931C2211yescharacteristic, complemented
203C2×#66929C2211yescharacteristic, complemented
204C2×#66929C2211yescharacteristic, complemented
205C2×#66929C2211yescharacteristic, complemented
206C2×#66929C2211yescharacteristic, complemented
207C2×#66928C2211yescharacteristic
208C2×#66928C2211yescharacteristic, complemented
209C2×C4×D44C2211yescharacteristic, complemented
210C2×C4×D44C2211yescharacteristic, complemented
211C2×C4×D44C2211yescharacteristic, complemented
212C2×C4×D44C2211yescharacteristic, complemented
213C2×C4×D44C2211yescharacteristic, complemented
214C2×C4×D44C2211yescharacteristic, complemented
215C2×#66925C2211yescharacteristic, complemented
216C2×#66925C2211yescharacteristic, complemented
217C2×#66925C2211yescharacteristic, complemented
218C2×C42×D11C2211yescharacteristic, complemented
219C24×D11C2311yescharacteristic
220C24×D11C2311yescharacteristic
221C24×D11C2311yescharacteristic
222C22×Q8×C11C2311yescharacteristic
223C22×Q8×C11C2311yescharacteristic
224C22×Q8×C11C2311yescharacteristic
225C22×D4×C11C2311yescharacteristic
226C22×D4×C11C2311yescharacteristic
227C22×D4×C11C2311yescharacteristic
228C23×C4×C11C2311yescharacteristic
229C23×C4×C11C2311yescharacteristic
230C23×C4×C11C2311yescharacteristic
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
241C22×C22⋊D11C2311yescharacteristic
242C22×C22⋊D11C2311yescharacteristic
243C23×Dic11C2311yescharacteristic
244C23×Dic11C2311yescharacteristic
245C23×Dic11C2311yescharacteristic
246C2×#4343—44no—
247C2×#4343—44no—
248C2×#4343C2318yescomplemented
249C2×#4343C2318yescomplemented
250C2×#4341—44no—
251C2×#4341C2318yescomplemented
252C2×D4×D11—44no—
253C2×D4×D11C2318yes—
254C2×#4339—44no—
255C2×#4339C2318yescomplemented
256C22×D44—44no—
257C22×D44C2311yescharacteristic
258C22×D44C2311yescharacteristic
259C22×D44C2311yescharacteristic
260C22×D44C2311yescharacteristic
261C22×D44C2311yescharacteristic
262C22×D44C2311yescharacteristic
263C22×D44C2311yescharacteristic
264C22×D44C2311yescharacteristic
265C22×D44C2311yescharacteristic
266C22×D44C2311yescharacteristic
267C22×D44C2311yescharacteristic
268C22×D44C2311yescharacteristic
269C22×D44C2318yes—
270C22×C4×D11C2311yescharacteristic
271C22×C4×D11C2311yescharacteristic
272C22×C4×D11C2311yescharacteristic
273C22×C4×D11C2311yescharacteristic
274C22×C4×D11C2311yescharacteristic
275C22×C4×D11C2311yescharacteristic
276C22×C4×D11C2311yescharacteristic
277C22×C4×D11C2311yescharacteristic
278C22×C4×D11C2311yescharacteristic
279C22×C4×D11C2311yescharacteristic
280C22×C4×D11C2311yescharacteristic
281C22×C4×D11C2311yescharacteristic
282C22×C4×D11C2311yescharacteristic
283C22×C4×D11C2311yescharacteristic
284C22×C4×D11C2311yescharacteristic
285C22×C4×D11C2311yescharacteristic
286C22×Dic22C2311yescharacteristic
287C22×Dic22C2311yescharacteristic
288C11×C4⋊Q8C2318yescomplemented
289C11×#126C2318yescomplemented
290C11×#126C2318yescomplemented
291C11×#124C2318yes—
292C11×#124C2318yescomplemented
293C11×#124C2318yescomplemented
294C11×#123C2318yes—
295C11×#123C2318yescomplemented
296C11×C22⋊Q8C2318yescomplemented
297C11×C22⋊Q8C2318yescomplemented
298C11×C22⋊Q8C2318yescomplemented
299C11×#121C2318yes—
300C4×Q8×C11C2318yescomplemented
301C4×D4×C11C2318yescomplemented
302C11×#117C2318yescomplemented
303C2×C11×C4⋊C4C2311yescharacteristic
304C2×C11×C4⋊C4C2311yescharacteristic
305C2×C11×C4⋊C4C2311yescharacteristic
306C2×C11×C4⋊C4C2311yescharacteristic
307C2×C11×C4⋊C4C2311yescharacteristic
308C2×C11×C4⋊C4C2311yescharacteristic
309C2×C11×C4⋊C4C2311yescharacteristic
310C2×C11×C4⋊C4C2311yescharacteristic
311C2×C11×C4⋊C4C2311yescharacteristic
312C2×C11×C4⋊C4C2311yescharacteristic
313C2×C11×C22⋊C4C2311yescharacteristic
314C2×C11×C22⋊C4C2311yescharacteristic
315C2×C11×C22⋊C4C2311yescharacteristic
316C2×C11×C22⋊C4C2311yescharacteristic
317C2×C11×C22⋊C4C2311yescharacteristic
318C2×C11×C22⋊C4C2311yescharacteristic
319C2×C11×C22⋊C4C2311yescharacteristic
320C2×C11×C22⋊C4C2311yescharacteristic
321C2×C11×C22⋊C4C2311yescharacteristic
322C2×C11×C22⋊C4C2311yescharacteristic
323C2×C11×C22⋊C4C2311yescharacteristic
324C2×C11×C22⋊C4C2311yescharacteristic
325C2×C42×C11C2311yescharacteristic
326C2×C42×C11C2311yescharacteristic
327C2×C42×C11C2311yescharacteristic
328C2×C42×C11C2311yescharacteristic
329C2×C22⋊Dic11C2311yescharacteristic
330C2×C22⋊Dic11C2311yescharacteristic
331C2×C22⋊Dic11C2311yescharacteristic
332C2×C22⋊Dic11C2311yescharacteristic
333C2×C22⋊Dic11C2311yescharacteristic
334C2×C22⋊Dic11C2311yescharacteristic
335#67000C2318yes—
336#67000C2318yescomplemented
337#67000C2318yescomplemented
338#66999C2318yescomplemented
339#66999C2318yescomplemented
340#66999C2318yescomplemented
341#66999C2318yescomplemented
342#66999C2318yescomplemented
343#66999C2318yescomplemented
344#66997C2318yescomplemented
345#66993C2318yescomplemented
346#66992C2318yes—
347#66992C2318yescomplemented
348#66992C2318yescomplemented
349#66991C2318yes—
350#66990C2318yes—
351#66990C2318yes—
352#66990C2318yescomplemented
353#66990C2318yescomplemented
354#66988C2318yes—
355#66983C2318yes—
356#66983C2318yescomplemented
357#66983C2318yescomplemented
358#66982C2318yes—
359#66982C2318yescomplemented
360C4×C22⋊D11C2318yescomplemented
361C4×C22⋊D11C2318yescomplemented
362C2×(C2×D11)⋊C4C2311yescharacteristic
363C2×(C2×D11)⋊C4C2311yescharacteristic
364C2×(C2×D11)⋊C4C2311yescharacteristic
365C2×(C2×D11)⋊C4C2311yescharacteristic
366C2×(C2×D11)⋊C4C2311yescharacteristic
367C2×(C2×D11)⋊C4C2311yescharacteristic
368C2×(C2×D11)⋊C4C2311yescharacteristic
369C2×(C2×D11)⋊C4C2311yescharacteristic
370C2×(C2×D11)⋊C4C2311yescharacteristic
371C2×(C2×D11)⋊C4C2311yescharacteristic
372C2×(C2×D11)⋊C4C2311yescharacteristic
373C2×(C2×D11)⋊C4C2311yescharacteristic
374C2×(C2×D11)⋊C4C2311yescharacteristic
375C2×(C2×D11)⋊C4C2311yescharacteristic
376C2×(C2×D11)⋊C4C2311yescharacteristic
377C2×(C2×D11)⋊C4C2311yescharacteristic
378C2×(C2×D11)⋊C4C2311yescharacteristic
379C2×(C2×D11)⋊C4C2311yescharacteristic
380C2×(C2×D11)⋊C4C2311yescharacteristic
381C2×(C2×D11)⋊C4C2311yescharacteristic
382C2×(C2×D11)⋊C4C2311yescharacteristic
383C2×(C2×D11)⋊C4C2311yescharacteristic
384C2×(C2×D11)⋊C4C2311yescharacteristic
385C2×(C2×D11)⋊C4C2311yescharacteristic
386C2×(C2×D11)⋊C4C2311yescharacteristic
387C2×(C2×D11)⋊C4C2311yescharacteristic
388C2×(C2×D11)⋊C4C2311yescharacteristic
389C2×(C2×D11)⋊C4C2311yescharacteristic
390C2×(C2×D11)⋊C4C2311yescharacteristic
391C2×(C2×D11)⋊C4C2311yescharacteristic
392C2×(C2×D11)⋊C4C2311yescharacteristic
393C2×(C2×D11)⋊C4C2311yescharacteristic
394C2×(C2×D11)⋊C4C2318yescomplemented
395C2×C4⋊Dic11C2311yescharacteristic
396C2×C4⋊Dic11C2311yescharacteristic
397C2×C4⋊Dic11C2311yescharacteristic
398C2×C4⋊Dic11C2311yescharacteristic
399C2×C4⋊Dic11C2311yescharacteristic
400C2×C4⋊Dic11C2311yescharacteristic
401C2×C4⋊Dic11C2311yescharacteristic
402C2×C4⋊Dic11C2311yescharacteristic
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⋊C4C2318yescomplemented
425C2×C4×Dic11C2311yescharacteristic
426C2×C4×Dic11C2311yescharacteristic
427C2×C4×Dic11C2311yescharacteristic
428C2×C4×Dic11C2311yescharacteristic
429C2×C4×Dic11C2311yescharacteristic
430C2×C4×Dic11C2311yescharacteristic
431#66951C2318yescomplemented
432#66951C2318yescomplemented
433#66951C2318yescomplemented
434#66951C2318yescomplemented
435#66951C2318yescomplemented
436#66951C2318yescomplemented
437#66951C2318yescomplemented
438#66949C2318yescomplemented
439#66949C2318yescomplemented
440#66949C2318yescomplemented
441#66949C2318yescomplemented
442#66948C2318yes—
443#66948C2318yes—
444#66948C2318yes—
445#66948C2318yes—
446#66948C2318yescomplemented
447#66948C2318yescomplemented
448#66948C2318yescomplemented
449#66947C2318yes—
450#66947C2318yes—
451#66947C2318yes—
452#66947C2318yes—
453#66947C2318yescomplemented
454#66947C2318yescomplemented
455#66947C2318yescomplemented
456#66947C2318yescomplemented
457#66947C2318yescomplemented
458#66947C2318yescomplemented
459#66946C2318yescomplemented
460#66946C2318yescomplemented
461C4⋊C4×D11C2318yescomplemented
462C4⋊C4×D11C2318yescomplemented
463C4⋊C4×D11C2318yescomplemented
464C4⋊C4×D11C2318yescomplemented
465#66943C2318yescomplemented
466#66943C2318yescomplemented
467#66942C2318yescomplemented
468#66942C2318yescomplemented
469#66942C2318yescomplemented
470#66941C2318yescomplemented
471#66939C2318yescomplemented
472#66939C2318yescomplemented
473#66939C2318yescomplemented
474#66938C2318yes—
475#66937C2318yes—
476#66937C2318yes—
477#66937C2318yes—
478#66937C2318yes—
479#66937C2318yescomplemented
480#66937C2318yescomplemented
481#66937C2318yescomplemented
482#66937C2318yescomplemented
483#66937C2318yescomplemented
484#66937C2318yescomplemented
485#66937C2318yescomplemented
486#66937C2318yescomplemented
487#66936C2318yes—
488#66936C2318yescomplemented
489#66936C2318yescomplemented
490#66936C2318yescomplemented
491#66936C2318yescomplemented
492#66936C2318yescomplemented
493#66935C2318yes—
494#66935C2318yes—
495#66935C2318yes—
496#66935C2318yes—
497#66935C2318yescomplemented
498#66935C2318yescomplemented
499(C22⋊D11)⋊C4C2318yescomplemented
500(C22⋊D11)⋊C4C2318yescomplemented
501(C22⋊D11)⋊C4C2318yescomplemented
502(C22⋊D11)⋊C4C2318yescomplemented
503(C22⋊D11)⋊C4C2318yescomplemented
504(C22⋊D11)⋊C4C2318yescomplemented
505(C22⋊D11)⋊C4C2318yescomplemented
506(C22⋊D11)⋊C4C2318yescomplemented
507C22⋊C4×D11C2318yes—
508C22⋊C4×D11C2318yes—
509C22⋊C4×D11C2318yes—
510C22⋊C4×D11C2318yescomplemented
511C22⋊C4×D11C2318yescomplemented
512C22⋊C4×D11C2318yescomplemented
513#66932C2318yescomplemented
514#66932C2318yescomplemented
515#66932C2318yescomplemented
516#66932C2318yescomplemented
517#66932C2318yescomplemented
518#66931C2318yescomplemented
519#66929C2318yescomplemented
520#66929C2318yescomplemented
521#66929C2318yescomplemented
522#66929C2318yescomplemented
523#66928C2318yes—
524#66928C2318yescomplemented
525C4×D44C2318yescomplemented
526C4×D44C2318yescomplemented
527C4×D44C2318yescomplemented
528C4×D44C2318yescomplemented
529C4×D44C2318yescomplemented
530C4×D44C2318yescomplemented
531#66925C2318yescomplemented
532#66925C2318yescomplemented
533#66925C2318yescomplemented
534C42×D11C2318yescomplemented
535C2×#3560—111nomaximal, Sylow
536C24×C11C2411yescharacteristic
537C24×C11C2411yescharacteristic
538C24×C11C2411yescharacteristic
539C23×D11—24no—
540C23×D11—42no—
541C23×D11—42no—
542C23×D11—42no—
543C23×D11—42no—
544C23×D11—42no—
545C23×D11—42no—
546C23×D11—42no—
547C23×D11—42no—
548C23×D11C2411yescharacteristic
549C23×D11C2411yescharacteristic
550C23×D11C2411yescharacteristic
551C23×D11C2411yescharacteristic
552C23×D11C2411yescharacteristic
553C23×D11C2411yescharacteristic
554C23×D11C2414yes—
555C23×D11C2414yes—
556C23×D11C2414yes—
557C2×Q8×C11—42no—
558C2×Q8×C11—42no—
559C2×Q8×C11—42no—
560C2×Q8×C11C2414yes—
561C2×Q8×C11C2414yes—
562C2×Q8×C11C2414yes—
563C2×D4×C11—42no—
564C2×D4×C11—42no—
565C2×D4×C11—42no—
566C2×D4×C11C2414yes—
567C2×D4×C11C2414yes—
568C2×D4×C11C2414yes—
569C22×C4×C11—42no—
570C22×C4×C11—42no—
571C22×C4×C11—42no—
572C22×C4×C11C2411yescharacteristic
573C22×C4×C11C2411yescharacteristic
574C22×C4×C11C2411yescharacteristic
575C22×C4×C11C2411yescharacteristic
576C22×C4×C11C2411yescharacteristic
577C22×C4×C11C2411yescharacteristic
578C22×C4×C11C2411yescharacteristic
579C22×C4×C11C2411yescharacteristic
580C22×C4×C11C2411yescharacteristic
581C22×C4×C11C2411yescharacteristic
582C22×C4×C11C2411yescharacteristic
583C22×C4×C11C2411yescharacteristic
584C22×C4×C11C2414yes—
585C22×C4×C11C2414yes—
586C22×C4×C11C2414yes—
587C2×C22⋊D11—24no—
588C2×C22⋊D11—24no—
589C2×C22⋊D11—42no—
590C2×C22⋊D11—42no—
591C2×C22⋊D11—42no—
592C2×C22⋊D11—42no—
593C2×C22⋊D11—42no—
594C2×C22⋊D11—42no—
595C2×C22⋊D11—42no—
596C2×C22⋊D11—42no—
597C2×C22⋊D11—42no—
598C2×C22⋊D11—42no—
599C2×C22⋊D11C2414yes—
600C2×C22⋊D11C2414yes—
601C2×C22⋊D11C2414yes—
602C2×C22⋊D11C2414yes—
603C2×C22⋊D11C2414yes—
604C2×C22⋊D11C2414yes—
605C2×C22⋊D11C2414yes—
606C2×C22⋊D11C2414yes—
607C2×C22⋊D11C2414yes—
608C2×C22⋊D11C2414yes—
609C2×C22⋊D11C2414yes—
610C2×C22⋊D11C2414yes—
611C22×Dic11—42no—
612C22×Dic11—42no—
613C22×Dic11—42no—
614C22×Dic11C2411yescharacteristic
615C22×Dic11C2411yescharacteristic
616C22×Dic11C2411yescharacteristic
617C22×Dic11C2411yescharacteristic
618C22×Dic11C2411yescharacteristic
619C22×Dic11C2411yescharacteristic
620C22×Dic11C2411yescharacteristic
621C22×Dic11C2411yescharacteristic
622C22×Dic11C2411yescharacteristic
623C22×Dic11C2411yescharacteristic
624C22×Dic11C2414yes—
625C22×Dic11C2414yes—
626C22×Dic11C2414yes—
627#4343—416no—
628#4343—416no—
629#4341—416no—
630D4×D11—416no—
631#4339—416no—
632C2×D44—24no—
633C2×D44—24no—
634C2×D44—24no—
635C2×D44—24no—
636C2×D44—42no—
637C2×D44—42no—
638C2×D44—42no—
639C2×D44—42no—
640C2×D44—42no—
641C2×D44—42no—
642C2×D44—42no—
643C2×D44—42no—
644C2×D44—416no—
645C2×D44C2414yes—
646C2×D44C2414yes—
647C2×D44C2414yes—
648C2×D44C2414yes—
649C2×D44C2414yes—
650C2×D44C2414yes—
651C2×D44C2414yes—
652C2×D44C2414yes—
653C2×D44C2414yes—
654C2×D44C2414yes—
655C2×D44C2414yes—
656C2×D44C2414yes—
657C2×C4×D11—24no—
658C2×C4×D11—24no—
659C2×C4×D11—42no—
660C2×C4×D11—42no—
661C2×C4×D11—42no—
662C2×C4×D11—42no—
663C2×C4×D11—42no—
664C2×C4×D11—42no—
665C2×C4×D11—42no—
666C2×C4×D11—42no—
667C2×C4×D11—42no—
668C2×C4×D11—42no—
669C2×C4×D11—42no—
670C2×C4×D11—42no—
671C2×C4×D11—42no—
672C2×C4×D11—42no—
673C2×C4×D11C2414yes—
674C2×C4×D11C2414yes—
675C2×C4×D11C2414yes—
676C2×C4×D11C2414yes—
677C2×C4×D11C2414yes—
678C2×C4×D11C2414yes—
679C2×C4×D11C2414yes—
680C2×C4×D11C2414yes—
681C2×C4×D11C2414yes—
682C2×C4×D11C2414yes—
683C2×C4×D11C2414yes—
684C2×C4×D11C2414yes—
685C2×C4×D11C2414yes—
686C2×C4×D11C2414yes—
687C2×C4×D11C2414yes—
688C2×C4×D11C2414yes—
689C2×Dic22—42no—
690C2×Dic22—42no—
691C2×Dic22C2414yes—
692C2×Dic22C2414yes—
693C11×C4⋊C4C2414yes—
694C11×C4⋊C4C2414yes—
695C11×C4⋊C4C2414yes—
696C11×C4⋊C4C2414yes—
697C11×C4⋊C4C2414yes—
698C11×C4⋊C4C2414yes—
699C11×C4⋊C4C2414yes—
700C11×C4⋊C4C2414yes—
701C11×C4⋊C4C2414yes—
702C11×C4⋊C4C2414yes—
703C11×C22⋊C4C2414yes—
704C11×C22⋊C4C2414yes—
705C11×C22⋊C4C2414yes—
706C11×C22⋊C4C2414yes—
707C11×C22⋊C4C2414yes—
708C11×C22⋊C4C2414yes—
709C11×C22⋊C4C2414yes—
710C11×C22⋊C4C2414yes—
711C11×C22⋊C4C2414yes—
712C11×C22⋊C4C2414yes—
713C11×C22⋊C4C2414yes—
714C11×C22⋊C4C2414yes—
715C42×C11C2414yes—
716C42×C11C2414yes—
717C42×C11C2414yes—
718C42×C11C2414yes—
719C22⋊Dic11C2414yes—
720C22⋊Dic11C2414yes—
721C22⋊Dic11C2414yes—
722C22⋊Dic11C2414yes—
723C22⋊Dic11C2414yes—
724C22⋊Dic11C2414yes—
725(C2×D11)⋊C4C2414yes—
726(C2×D11)⋊C4C2414yes—
727(C2×D11)⋊C4C2414yes—
728(C2×D11)⋊C4C2414yes—
729(C2×D11)⋊C4C2414yes—
730(C2×D11)⋊C4C2414yes—
731(C2×D11)⋊C4C2414yes—
732(C2×D11)⋊C4C2414yes—
733(C2×D11)⋊C4C2414yes—
734(C2×D11)⋊C4C2414yes—
735(C2×D11)⋊C4C2414yes—
736(C2×D11)⋊C4C2414yes—
737(C2×D11)⋊C4C2414yes—
738(C2×D11)⋊C4C2414yes—
739(C2×D11)⋊C4C2414yes—
740(C2×D11)⋊C4C2414yes—
741(C2×D11)⋊C4C2414yes—
742(C2×D11)⋊C4C2414yes—
743(C2×D11)⋊C4C2414yes—
744(C2×D11)⋊C4C2414yes—
745(C2×D11)⋊C4C2414yes—
746(C2×D11)⋊C4C2414yes—
747(C2×D11)⋊C4C2414yes—
748(C2×D11)⋊C4C2414yes—
749(C2×D11)⋊C4C2414yes—
750(C2×D11)⋊C4C2414yes—
751(C2×D11)⋊C4C2414yes—
752(C2×D11)⋊C4C2414yes—
753(C2×D11)⋊C4C2414yes—
754(C2×D11)⋊C4C2414yes—
755(C2×D11)⋊C4C2414yes—
756(C2×D11)⋊C4C2414yes—
757C4⋊Dic11C2414yes—
758C4⋊Dic11C2414yes—
759C4⋊Dic11C2414yes—
760C4⋊Dic11C2414yes—
761C4⋊Dic11C2414yes—
762C4⋊Dic11C2414yes—
763C4⋊Dic11C2414yes—
764C4⋊Dic11C2414yes—
765Dic11⋊C4C2414yes—
766Dic11⋊C4C2414yes—
767Dic11⋊C4C2414yes—
768Dic11⋊C4C2414yes—
769Dic11⋊C4C2414yes—
770Dic11⋊C4C2414yes—
771Dic11⋊C4C2414yes—
772Dic11⋊C4C2414yes—
773Dic11⋊C4C2414yes—
774Dic11⋊C4C2414yes—
775Dic11⋊C4C2414yes—
776Dic11⋊C4C2414yes—
777Dic11⋊C4C2414yes—
778Dic11⋊C4C2414yes—
779Dic11⋊C4C2414yes—
780Dic11⋊C4C2414yes—
781Dic11⋊C4C2414yes—
782Dic11⋊C4C2414yes—
783Dic11⋊C4C2414yes—
784Dic11⋊C4C2414yes—
785C4×Dic11C2414yes—
786C4×Dic11C2414yes—
787C4×Dic11C2414yes—
788C4×Dic11C2414yes—
789C4×Dic11C2414yes—
790C4×Dic11C2414yes—
791#3560—1132no—
792C2×#563—111no—
793C2×#563—111no—
794C2×#560—111no—
795C2×#560—111no—
796C2×#553—111no—
797C2×#553—111no—
798C2×#553—111no—
799C2×#553—111no—
800C2×#551—111no—
801C2×#551—111no—
802C2×#547—111no—
803C2×#547—111no—
804C2×#546—111no—
805C2×#546—111no—
806C2×#546—111no—
807C2×#546—111no—
808C2×#542—111no—
809C2×#542D1111yescharacteristic, complemented
810C2×#539—111no—
811C2×#539—111no—
812C2×#539—111no—
813C2×#538—111no—
814C2×#538—111no—
815C2×#538—111no—
816C2×#538—111no—
817C2×#538—111no—
818C2×#537—111no—
819C2×#534—111no—
820C2×#532—111no—
821C2×#529—111no—
822C22×#126—111no—
823C23×C11—22no—
824C23×C11—22no—
825C23×C11—22no—
826C23×C11—22no—
827C23×C11—22no—
828C23×C11—22no—
829C23×C11—22no—
830C23×C11—22no—
831C23×C11—22no—
832C23×C11C2512yes—
833C23×C11C2512yes—
834C23×C11C2512yes—
835C23×C11C2511yescharacteristic
836C22×D11—22no—
837C22×D11—22no—
838C22×D11—22no—
839C22×D11—22no—
840C22×D11—22no—
841C22×D11—22no—
842C22×D11—22no—
843C22×D11—22no—
844C22×D11—22no—
845C22×D11—22no—
846C22×D11—22no—
847C22×D11—22no—
848C22×D11—22no—
849C22×D11—22no—
850C22×D11—22no—
851C22×D11—22no—
852C22×D11—22no—
853C22×D11—28no—
854C22×D11—44no—
855C22×D11—44no—
856C22×D11—44no—
857C22×D11—44no—
858C22×D11—44no—
859C22×D11—44no—
860C22×D11—44no—
861C22×D11—44no—
862C22×D11—88no—
863C22×D11—88no—
864C22×D11—88no—
865C22×D11H(5,𝔽2)14yes—
866C22×D11C2512yes—
867C22×D11C2512yes—
868C22×D11C2512yes—
869C22×D11C2512yes—
870C22×D11C2512yes—
871C22×D11C2512yes—
872Q8×C11—44no—
873Q8×C11—44no—
874Q8×C11—44no—
875D4×C11—44no—
876D4×C11—44no—
877D4×C11—44no—
878C2×C4×C11—22no—
879C2×C4×C11—22no—
880C2×C4×C11—22no—
881C2×C4×C11—22no—
882C2×C4×C11—22no—
883C2×C4×C11—22no—
884C2×C4×C11—22no—
885C2×C4×C11—22no—
886C2×C4×C11—22no—
887C2×C4×C11—22no—
888C2×C4×C11—22no—
889C2×C4×C11—22no—
890C2×C4×C11—44no—
891C2×C4×C11—44no—
892C2×C4×C11—44no—
893C2×C4×C11C2512yes—
894C2×C4×C11C2512yes—
895C2×C4×C11C2512yes—
896C2×C4×C11C2512yes—
897C2×C4×C11C2512yes—
898C2×C4×C11C2512yes—
899C2×C4×C11C2512yes—
900C2×C4×C11C2512yes—
901C2×C4×C11C2512yes—
902C2×C4×C11C2512yes—
903C2×C4×C11C2512yes—
904C2×C4×C11C2512yes—
905C22⋊D11—28no—
906C22⋊D11—28no—
907C22⋊D11—44no—
908C22⋊D11—44no—
909C22⋊D11—44no—
910C22⋊D11—44no—
911C22⋊D11—44no—
912C22⋊D11—44no—
913C22⋊D11—44no—
914C22⋊D11—44no—
915C22⋊D11—44no—
916C22⋊D11—44no—
917C2×Dic11—22no—
918C2×Dic11—22no—
919C2×Dic11—22no—
920C2×Dic11—22no—
921C2×Dic11—22no—
922C2×Dic11—22no—
923C2×Dic11—22no—
924C2×Dic11—22no—
925C2×Dic11—22no—
926C2×Dic11—22no—
927C2×Dic11—44no—
928C2×Dic11—44no—
929C2×Dic11—44no—
930C2×Dic11C2512yes—
931C2×Dic11C2512yes—
932C2×Dic11C2512yes—
933C2×Dic11C2512yes—
934C2×Dic11C2512yes—
935C2×Dic11C2512yes—
936C2×Dic11C2512yes—
937C2×Dic11C2512yes—
938C2×Dic11C2512yes—
939C2×Dic11C2512yes—
940D44—28no—
941D44—28no—
942D44—28no—
943D44—28no—
944D44—44no—
945D44—44no—
946D44—44no—
947D44—44no—
948D44—44no—
949D44—44no—
950D44—44no—
951D44—44no—
952C4×D11—28no—
953C4×D11—28no—
954C4×D11—44no—
955C4×D11—44no—
956C4×D11—44no—
957C4×D11—44no—
958C4×D11—44no—
959C4×D11—44no—
960C4×D11—44no—
961C4×D11—44no—
962C4×D11—44no—
963C4×D11—44no—
964C4×D11—44no—
965C4×D11—44no—
966C4×D11—44no—
967C4×D11—44no—
968Dic22—44no—
969Dic22—44no—
970C22×#41—111no—
971C22×#41—111no—
972C22×#41—111no—
973C22×#41—111no—
974C23×D4—111no—
975C23×D4—111no—
976#563—1116no—
977#563—1116no—
978#560—1116no—
979#560—1116no—
980#553—1116no—
981#553—1116no—
982#553—1116no—
983#553—1116no—
984#551—1116no—
985#551—1116no—
986#547—1116no—
987#547—1116no—
988#546—1116no—
989#546—1116no—
990#546—1116no—
991#546—1116no—
992#542—1116no—
993#542C2×D11116yescomplemented
994#539—1116no—
995#539—1116no—
996#539—1116no—
997#538—1116no—
998#538—1116no—
999#538—1116no—
1000#538—1116no—
1001#538—1116no—
1002#537—1116no—
1003#534—1116no—
1004#532—1116no—
1005C2×C4⋊Q8—111no—
1006C2×C4⋊Q8—111no—
1007C2×C4⋊Q8C2×D1111yescharacteristic, complemented
1008C2×#127—111no—
1009#529—1116no—
1010C2×#126—1116no—
1011C2×#126—111no—
1012C2×#126—111no—
1013C2×#126—111no—
1014C2×#126—111no—
1015C2×#126—111no—
1016C2×#126—111no—
1017C2×#126—111no—
1018C2×#126—111no—
1019C2×#126—111no—
1020C2×#126—111no—
1021C2×#126—111no—
1022C2×#126—111no—
1023C2×#126—111no—
1024C2×#126—111no—
1025C2×#126—111no—
1026C2×#126—111no—
1027C2×#126C2×D1111yescharacteristic, complemented
1028C2×#126C2×D1111yescharacteristic, complemented
1029C2×#125—111no—
1030C2×#125—111no—
1031C2×#125—111no—
1032C2×#125—111no—
1033C2×#125—111no—
1034C2×#124—111no—
1035C2×#124—111no—
1036C2×#124—111no—
1037C2×#124—111no—
1038C2×#124—111no—
1039C2×#124—111no—
1040C2×#124C2×D1111yescharacteristic
1041C2×#124C2×D1111yescharacteristic, complemented
1042C2×#124C2×D1111yescharacteristic, complemented
1043C2×#123—111no—
1044C2×#123—111no—
1045C2×#123—111no—
1046C2×#123—111no—
1047C2×#123—111no—
1048C2×#123—111no—
1049C2×#123—111no—
1050C2×#123—111no—
1051C2×#123—111no—
1052C2×#123—111no—
1053C2×#123—111no—
1054C2×#123—111no—
1055C2×#123—111no—
1056C2×#123—111no—
1057C2×#123—111no—
1058C2×#123—111no—
1059C2×#123—111no—
1060C2×#123—111no—
1061C2×#123—111no—
1062C2×#123—111no—
1063C2×#123—111no—
1064C2×#123—111no—
1065C2×#123C2×D1111yescharacteristic
1066C2×#123C2×D1111yescharacteristic, complemented
1067C2×C22⋊Q8—111no—
1068C2×C22⋊Q8—111no—
1069C2×C22⋊Q8—111no—
1070C2×C22⋊Q8—111no—
1071C2×C22⋊Q8—111no—
1072C2×C22⋊Q8—111no—
1073C2×C22⋊Q8—111no—
1074C2×C22⋊Q8—111no—
1075C2×C22⋊Q8—111no—
1076C2×C22⋊Q8—111no—
1077C2×C22⋊Q8—111no—
1078C2×C22⋊Q8—111no—
1079C2×C22⋊Q8C2×D1111yescharacteristic, complemented
1080C2×C22⋊Q8C2×D1111yescharacteristic, complemented
1081C2×C22⋊Q8C2×D1111yescharacteristic, complemented
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×#121—111no—
1091C2×#121—111no—
1092C2×#121—111no—
1093C2×#121—111no—
1094C2×#121—111no—
1095C2×#121—111no—
1096C2×#121—111no—
1097C2×#121—111no—
1098C2×#121—111no—
1099C2×#121—111no—
1100C2×#121—111no—
1101C2×#121—111no—
1102C2×#121—111no—
1103C2×#121—111no—
1104C2×#121—111no—
1105C2×#121—111no—
1106C2×#121—111no—
1107C2×#121—111no—
1108C2×#121C2×D1111yescharacteristic
1109C2×#120—111no—
1110C2×#120—111no—
1111C2×#120—111no—
1112C2×#120—111no—
1113C2×#120—111no—
1114C2×#120—111no—
1115C2×#120—111no—
1116C2×#120—111no—
1117C2×#120—111no—
1118C2×#120—111no—
1119C2×C4×Q8C2×D1111yescharacteristic, complemented
1120C2×C4×D4—111no—
1121C2×C4×D4—111no—
1122C2×C4×D4—111no—
1123C2×C4×D4—111no—
1124C2×C4×D4—111no—
1125C2×C4×D4—111no—
1126C2×C4×D4—111no—
1127C2×C4×D4—111no—
1128C2×C4×D4—111no—
1129C2×C4×D4—111no—
1130C2×C4×D4—111no—
1131C2×C4×D4—111no—
1132C2×C4×D4—111no—
1133C2×C4×D4—111no—
1134C2×C4×D4—111no—
1135C2×C4×D4—111no—
1136C2×C4×D4—111no—
1137C2×C4×D4—111no—
1138C2×C4×D4C2×D1111yescharacteristic, complemented
1139C2×#117—111no—
1140C2×#117—111no—
1141C2×#117—111no—
1142C2×#117C2×D1111yescharacteristic, complemented
1143C22×C4⋊C4—111no—
1144C22×C4⋊C4—111no—
1145C22×C4⋊C4—111no—
1146C22×C4⋊C4—111no—
1147C22×C4⋊C4—111no—
1148C22×C22⋊C4—111no—
1149C22×C22⋊C4—111no—
1150C22×C22⋊C4—111no—
1151C22×C22⋊C4—111no—
1152C22×C22⋊C4—111no—
1153C22×C22⋊C4—111no—
1154C22×C22⋊C4—111no—
1155C22×C42—111no—
1156C22×C11—22no—
1157C22×C11—22no—
1158C22×C11—22no—
1159C22×C11—22no—
1160C22×C11—22no—
1161C22×C11—22no—
1162C22×C11—22no—
1163C22×C11—22no—
1164C22×C11—22no—
1165C22×C11—44no—
1166C22×C11—44no—
1167C22×C11—44no—
1168C22×C11C2×H(5,𝔽2)12yes—
1169C22×C11#58512yes—
1170C22×C11#58512yes—
1171C22×C11C2611yescharacteristic
1172C2×D11—22no—
1173C2×D11—22no—
1174C2×D11—28no—
1175C2×D11—22no—
1176C2×D11—22no—
1177C2×D11—22no—
1178C2×D11—22no—
1179C2×D11—22no—
1180C2×D11—22no—
1181C2×D11—22no—
1182C2×D11—22no—
1183C2×D11—22no—
1184C2×D11—22no—
1185C2×D11—22no—
1186C2×D11—22no—
1187C2×D11—22no—
1188C2×D11—22no—
1189C2×D11—22no—
1190C2×D11—44no—
1191C2×D11—44no—
1192C2×D11—44no—
1193C2×D11—44no—
1194C2×D11—44no—
1195C2×D11—88no—
1196C2×D11—88no—
1197C2×D11—88no—
1198C2×D11C2×H(5,𝔽2)14yes—
1199C4×C11—22no—
1200C4×C11—22no—
1201C4×C11—22no—
1202C4×C11—22no—
1203C4×C11—22no—
1204C4×C11—22no—
1205C4×C11—22no—
1206C4×C11—22no—
1207C4×C11—22no—
1208C4×C11—22no—
1209C4×C11—22no—
1210C4×C11—22no—
1211Dic11—22no—
1212Dic11—22no—
1213Dic11—22no—
1214Dic11—22no—
1215Dic11—22no—
1216Dic11—22no—
1217Dic11—22no—
1218Dic11—22no—
1219Dic11—22no—
1220Dic11—22no—
1221C25—111no—
1222C25—111no—
1223C25—111no—
1224C2×#41—118no—
1225C2×#41—118no—
1226C2×#41—118no—
1227C2×#41—118no—
1228C2×#41—444no—
1229C2×#41—444no—
1230C2×#41—444no—
1231C2×#41—444no—
1232C22×Q8—111no—
1233C22×Q8—111no—
1234C22×Q8C22×D1111yescharacteristic
1235C22×Q8C22×D1111yescharacteristic
1236C22×Q8C22×D1111yescharacteristic
1237C22×D4—111no—
1238C22×D4—111no—
1239C22×D4—111no—
1240C22×D4—111no—
1241C22×D4—111no—
1242C22×D4—111no—
1243C22×D4—111no—
1244C22×D4—111no—
1245C22×D4—111no—
1246C22×D4—111no—
1247C22×D4—111no—
1248C22×D4—111no—
1249C22×D4—118no—
1250C22×D4—111no—
1251C22×D4—111no—
1252C22×D4—111no—
1253C22×D4—111no—
1254C22×D4—111no—
1255C22×D4—111no—
1256C22×D4—111no—
1257C22×D4—111no—
1258C22×D4—111no—
1259C22×D4—111no—
1260C22×D4—111no—
1261C22×D4—111no—
1262C22×D4—118no—
1263C22×D4—444no—
1264C22×D4—444no—
1265C22×D4C22×D1111yescharacteristic
1266C22×D4C22×D1111yescharacteristic
1267C22×D4C22×D1111yescharacteristic
1268C23×C4—111no—
1269C23×C4—111no—
1270C23×C4—111no—
1271C23×C4—111no—
1272C23×C4—111no—
1273C23×C4—111no—
1274C23×C4—111no—
1275C23×C4—111no—
1276C23×C4—111no—
1277C23×C4—111no—
1278C23×C4—111no—
1279C23×C4—111no—
1280C23×C4—111no—
1281C23×C4—111no—
1282C23×C4—111no—
1283C23×C4—111no—
1284C23×C4—111no—
1285C23×C4—111no—
1286C23×C4—111no—
1287C23×C4C22×D1111yescharacteristic
1288C23×C4C22×D1111yescharacteristic
1289C23×C4C22×D1111yescharacteristic
1290C4⋊Q8—118no—
1291C4⋊Q8—118no—
1292C4⋊Q8C22×D1118yescomplemented
1293#127—118no—
1294#126—118no—
1295#126—118no—
1296#126—118no—
1297#126—118no—
1298#126—118no—
1299#126—118no—
1300#126—118no—
1301#126—118no—
1302#126—118no—
1303#126—118no—
1304#126—118no—
1305#126—118no—
1306#126—118no—
1307#126—118no—
1308#126—118no—
1309#126—118no—
1310#126C22×D1118yescomplemented
1311#126C22×D1118yescomplemented
1312#125—118no—
1313#125—118no—
1314#125—118no—
1315#125—118no—
1316#125—118no—
1317#124—118no—
1318#124—118no—
1319#124—118no—
1320#124—118no—
1321#124—118no—
1322#124—118no—
1323#124C22×D1118yes—
1324#124C22×D1118yescomplemented
1325#124C22×D1118yescomplemented
1326#123—118no—
1327#123—118no—
1328#123—118no—
1329#123—118no—
1330#123—118no—
1331#123—118no—
1332#123—118no—
1333#123—118no—
1334#123—118no—
1335#123—118no—
1336#123—118no—
1337#123—118no—
1338#123—118no—
1339#123—118no—
1340#123—118no—
1341#123—118no—
1342#123—118no—
1343#123—118no—
1344#123—118no—
1345#123—118no—
1346#123—118no—
1347#123—118no—
1348#123C22×D1118yes—
1349#123C22×D1118yescomplemented
1350C22⋊Q8—118no—
1351C22⋊Q8—118no—
1352C22⋊Q8—118no—
1353C22⋊Q8—118no—
1354C22⋊Q8—118no—
1355C22⋊Q8—118no—
1356C22⋊Q8—118no—
1357C22⋊Q8—118no—
1358C22⋊Q8—118no—
1359C22⋊Q8—118no—
1360C22⋊Q8—118no—
1361C22⋊Q8—118no—
1362C22⋊Q8C22×D1118yescomplemented
1363C22⋊Q8C22×D1118yescomplemented
1364C22⋊Q8C22×D1118yescomplemented
1365#121—118no—
1366#121—118no—
1367#121—118no—
1368#121—118no—
1369#121—118no—
1370#121—118no—
1371#121—118no—
1372#121—118no—
1373#121—118no—
1374#121—118no—
1375#121—118no—
1376#121—118no—
1377#121—118no—
1378#121—118no—
1379#121—118no—
1380#121—118no—
1381#121—118no—
1382#121—118no—
1383#121—118no—
1384#121—118no—
1385#121—118no—
1386#121—118no—
1387#121—118no—
1388#121—118no—
1389#121—118no—
1390#121—118no—
1391#121C22×D1118yes—
1392#120—118no—
1393#120—118no—
1394#120—118no—
1395#120—118no—
1396#120—118no—
1397#120—118no—
1398#120—118no—
1399#120—118no—
1400#120—118no—
1401#120—118no—
1402C4×Q8C22×D1118yescomplemented
1403C4×D4—118no—
1404C4×D4—118no—
1405C4×D4—118no—
1406C4×D4—118no—
1407C4×D4—118no—
1408C4×D4—118no—
1409C4×D4—118no—
1410C4×D4—118no—
1411C4×D4—118no—
1412C4×D4—118no—
1413C4×D4—118no—
1414C4×D4—118no—
1415C4×D4—118no—
1416C4×D4—118no—
1417C4×D4—118no—
1418C4×D4—118no—
1419C4×D4—118no—
1420C4×D4—118no—
1421C4×D4C22×D1118yescomplemented
1422#117—118no—
1423#117—118no—
1424#117—118no—
1425#117C22×D1118yescomplemented
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—111no—
1434C2×C4⋊C4—111no—
1435C2×C4⋊C4—111no—
1436C2×C4⋊C4—111no—
1437C2×C4⋊C4—111no—
1438C2×C4⋊C4—111no—
1439C2×C4⋊C4—111no—
1440C2×C4⋊C4—118no—
1441C2×C4⋊C4—111no—
1442C2×C4⋊C4—111no—
1443C2×C4⋊C4—111no—
1444C2×C4⋊C4—111no—
1445C2×C4⋊C4—111no—
1446C2×C4⋊C4—111no—
1447C2×C4⋊C4—111no—
1448C2×C4⋊C4—111no—
1449C2×C4⋊C4—111no—
1450C2×C4⋊C4—111no—
1451C2×C4⋊C4—111no—
1452C2×C4⋊C4—111no—
1453C2×C4⋊C4—111no—
1454C2×C4⋊C4—111no—
1455C2×C4⋊C4—118no—
1456C2×C4⋊C4—118no—
1457C2×C4⋊C4—118no—
1458C2×C4⋊C4—118no—
1459C2×C4⋊C4C22×D1111yescharacteristic
1460C2×C4⋊C4C22×D1111yescharacteristic
1461C2×C4⋊C4C22×D1111yescharacteristic
1462C2×C4⋊C4C22×D1111yescharacteristic
1463C2×C4⋊C4C22×D1111yescharacteristic
1464C2×C4⋊C4C22×D1111yescharacteristic
1465C2×C4⋊C4C22×D1111yescharacteristic
1466C2×C4⋊C4C22×D1111yescharacteristic
1467C2×C4⋊C4C22×D1111yescharacteristic
1468C2×C4⋊C4C22×D1111yescharacteristic
1469C2×C22⋊C4—111no—
1470C2×C22⋊C4—111no—
1471C2×C22⋊C4—111no—
1472C2×C22⋊C4—111no—
1473C2×C22⋊C4—111no—
1474C2×C22⋊C4—111no—
1475C2×C22⋊C4—111no—
1476C2×C22⋊C4—111no—
1477C2×C22⋊C4—111no—
1478C2×C22⋊C4—111no—
1479C2×C22⋊C4—111no—
1480C2×C22⋊C4—111no—
1481C2×C22⋊C4—111no—
1482C2×C22⋊C4—111no—
1483C2×C22⋊C4—111no—
1484C2×C22⋊C4—111no—
1485C2×C22⋊C4—111no—
1486C2×C22⋊C4—111no—
1487C2×C22⋊C4—111no—
1488C2×C22⋊C4—111no—
1489C2×C22⋊C4—118no—
1490C2×C22⋊C4—111no—
1491C2×C22⋊C4—111no—
1492C2×C22⋊C4—111no—
1493C2×C22⋊C4—111no—
1494C2×C22⋊C4—111no—
1495C2×C22⋊C4—111no—
1496C2×C22⋊C4—111no—
1497C2×C22⋊C4—111no—
1498C2×C22⋊C4—111no—
1499C2×C22⋊C4—111no—
1500C2×C22⋊C4—111no—
1501C2×C22⋊C4—111no—
1502C2×C22⋊C4—111no—
1503C2×C22⋊C4—111no—
1504C2×C22⋊C4—111no—
1505C2×C22⋊C4—111no—
1506C2×C22⋊C4—111no—
1507C2×C22⋊C4—111no—
1508C2×C22⋊C4—118no—
1509C2×C22⋊C4—118no—
1510C2×C22⋊C4—118no—
1511C2×C22⋊C4—118no—
1512C2×C22⋊C4—118no—
1513C2×C22⋊C4—118no—
1514C2×C22⋊C4C22×D1111yescharacteristic
1515C2×C22⋊C4C22×D1111yescharacteristic
1516C2×C22⋊C4C22×D1111yescharacteristic
1517C2×C22⋊C4C22×D1111yescharacteristic
1518C2×C22⋊C4C22×D1111yescharacteristic
1519C2×C22⋊C4C22×D1111yescharacteristic
1520C2×C22⋊C4C22×D1111yescharacteristic
1521C2×C22⋊C4C22×D1111yescharacteristic
1522C2×C22⋊C4C22×D1111yescharacteristic
1523C2×C22⋊C4C22×D1111yescharacteristic
1524C2×C22⋊C4C22×D1111yescharacteristic
1525C2×C22⋊C4C22×D1111yescharacteristic
1526C2×C42—111no—
1527C2×C42—111no—
1528C2×C42—111no—
1529C2×C42—111no—
1530C2×C42—111no—
1531C2×C42—111no—
1532C2×C42—118no—
1533C2×C42C22×D1111yescharacteristic
1534C2×C42C22×D1111yescharacteristic
1535C2×C42C22×D1111yescharacteristic
1536C2×C42C22×D1111yescharacteristic
1537C2×C11—42no—
1538C2×C11—42no—
1539C2×C11—42no—
1540C2×C11#356014yescomplemented
1541C2×C11C22×H(5,𝔽2)11yescharacteristic
1542C2×C11C2×#58511yescharacteristic
1543C2×C11C2×#58511yescharacteristic
1544D11—24no—
1545D11—42no—
1546D11—42no—
1547D11—42no—
1548D11—42no—
1549D11—42no—
1550C24—111no—
1551C24—111no—
1552C24—111no—
1553C24—111no—
1554C24—111no—
1555C24—111no—
1556C24—114no—
1557C24—114no—
1558C24—114no—
1559C24—224no—
1560C24—442no—
1561C24—442no—
1562C24—442no—
1563C24—442no—
1564C24—442no—
1565C24—442no—
1566C24—442no—
1567C24—442no—
1568C24C23×D1111yescharacteristic
1569C24C23×D1111yescharacteristic
1570C24C23×D1111yescharacteristic
1571#41—4416no—
1572#41—4416no—
1573#41—4416no—
1574#41—4416no—
1575C2×Q8—42no—
1576C2×Q8—42no—
1577C2×Q8—42no—
1578C2×Q8—114no—
1579C2×Q8—114no—
1580C2×Q8—442no—
1581C2×Q8—442no—
1582C2×Q8C23×D1114yes—
1583C2×Q8C23×D1114yes—
1584C2×Q8C23×D1114yes—
1585C2×D4—42no—
1586C2×D4—42no—
1587C2×D4—42no—
1588C2×D4—114no—
1589C2×D4—114no—
1590C2×D4—114no—
1591C2×D4—114no—
1592C2×D4—114no—
1593C2×D4—114no—
1594C2×D4—114no—
1595C2×D4—114no—
1596C2×D4—114no—
1597C2×D4—114no—
1598C2×D4—114no—
1599C2×D4—114no—
1600C2×D4—114no—
1601C2×D4—114no—
1602C2×D4—114no—
1603C2×D4—114no—
1604C2×D4—114no—
1605C2×D4—114no—
1606C2×D4—114no—
1607C2×D4—114no—
1608C2×D4—114no—
1609C2×D4—114no—
1610C2×D4—114no—
1611C2×D4—114no—
1612C2×D4—224no—
1613C2×D4—224no—
1614C2×D4—224no—
1615C2×D4—224no—
1616C2×D4—224no—
1617C2×D4—224no—
1618C2×D4—442no—
1619C2×D4—442no—
1620C2×D4—442no—
1621C2×D4—442no—
1622C2×D4—442no—
1623C2×D4—442no—
1624C2×D4—442no—
1625C2×D4—442no—
1626C2×D4—4416no—
1627C2×D4—442no—
1628C2×D4—442no—
1629C2×D4—442no—
1630C2×D4—442no—
1631C2×D4—442no—
1632C2×D4—442no—
1633C2×D4—442no—
1634C2×D4—442no—
1635C2×D4—442no—
1636C2×D4—442no—
1637C2×D4—4416no—
1638C2×D4C23×D1114yes—
1639C2×D4C23×D1114yes—
1640C2×D4C23×D1114yes—
1641C22×C4—42no—
1642C22×C4—42no—
1643C22×C4—42no—
1644C22×C4—111no—
1645C22×C4—111no—
1646C22×C4—111no—
1647C22×C4—111no—
1648C22×C4—111no—
1649C22×C4—111no—
1650C22×C4—111no—
1651C22×C4—111no—
1652C22×C4—111no—
1653C22×C4—111no—
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—224no—
1674C22×C4—224no—
1675C22×C4—442no—
1676C22×C4—442no—
1677C22×C4—442no—
1678C22×C4—442no—
1679C22×C4—442no—
1680C22×C4—442no—
1681C22×C4—442no—
1682C22×C4—442no—
1683C22×C4—442no—
1684C22×C4—442no—
1685C22×C4—442no—
1686C22×C4—442no—
1687C22×C4—442no—
1688C22×C4—442no—
1689C22×C4—442no—
1690C22×C4—442no—
1691C22×C4—442no—
1692C22×C4C23×D1111yescharacteristic
1693C22×C4C23×D1111yescharacteristic
1694C22×C4C23×D1111yescharacteristic
1695C22×C4C23×D1111yescharacteristic
1696C22×C4C23×D1111yescharacteristic
1697C22×C4C23×D1111yescharacteristic
1698C22×C4C23×D1111yescharacteristic
1699C22×C4C23×D1111yescharacteristic
1700C22×C4C23×D1111yescharacteristic
1701C22×C4C23×D1111yescharacteristic
1702C22×C4C23×D1111yescharacteristic
1703C22×C4C23×D1111yescharacteristic
1704C22×C4C23×D1114yes—
1705C22×C4C23×D1114yes—
1706C22×C4C23×D1114yes—
1707C4⋊C4—114no—
1708C4⋊C4—114no—
1709C4⋊C4—114no—
1710C4⋊C4—114no—
1711C4⋊C4—114no—
1712C4⋊C4—114no—
1713C4⋊C4—114no—
1714C4⋊C4—114no—
1715C4⋊C4—114no—
1716C4⋊C4—114no—
1717C4⋊C4—114no—
1718C4⋊C4—114no—
1719C4⋊C4—114no—
1720C4⋊C4—114no—
1721C4⋊C4—114no—
1722C4⋊C4—114no—
1723C4⋊C4—114no—
1724C4⋊C4—114no—
1725C4⋊C4—114no—
1726C4⋊C4—114no—
1727C4⋊C4—114no—
1728C4⋊C4—114no—
1729C4⋊C4—114no—
1730C4⋊C4—114no—
1731C4⋊C4—114no—
1732C4⋊C4—114no—
1733C4⋊C4—114no—
1734C4⋊C4—114no—
1735C4⋊C4C23×D1114yes—
1736C4⋊C4C23×D1114yes—
1737C4⋊C4C23×D1114yes—
1738C4⋊C4C23×D1114yes—
1739C4⋊C4C23×D1114yes—
1740C4⋊C4C23×D1114yes—
1741C4⋊C4C23×D1114yes—
1742C4⋊C4C23×D1114yes—
1743C4⋊C4C23×D1114yes—
1744C4⋊C4C23×D1114yes—
1745C22⋊C4—114no—
1746C22⋊C4—114no—
1747C22⋊C4—114no—
1748C22⋊C4—114no—
1749C22⋊C4—114no—
1750C22⋊C4—114no—
1751C22⋊C4—114no—
1752C22⋊C4—114no—
1753C22⋊C4—114no—
1754C22⋊C4—114no—
1755C22⋊C4—114no—
1756C22⋊C4—114no—
1757C22⋊C4—114no—
1758C22⋊C4—114no—
1759C22⋊C4—114no—
1760C22⋊C4—114no—
1761C22⋊C4—114no—
1762C22⋊C4—114no—
1763C22⋊C4—114no—
1764C22⋊C4—114no—
1765C22⋊C4—114no—
1766C22⋊C4—114no—
1767C22⋊C4—114no—
1768C22⋊C4—114no—
1769C22⋊C4—114no—
1770C22⋊C4—114no—
1771C22⋊C4—114no—
1772C22⋊C4—114no—
1773C22⋊C4—114no—
1774C22⋊C4—114no—
1775C22⋊C4—114no—
1776C22⋊C4—114no—
1777C22⋊C4—114no—
1778C22⋊C4—114no—
1779C22⋊C4—114no—
1780C22⋊C4—114no—
1781C22⋊C4—114no—
1782C22⋊C4—114no—
1783C22⋊C4C23×D1114yes—
1784C22⋊C4C23×D1114yes—
1785C22⋊C4C23×D1114yes—
1786C22⋊C4C23×D1114yes—
1787C22⋊C4C23×D1114yes—
1788C22⋊C4C23×D1114yes—
1789C22⋊C4C23×D1114yes—
1790C22⋊C4C23×D1114yes—
1791C22⋊C4C23×D1114yes—
1792C22⋊C4C23×D1114yes—
1793C22⋊C4C23×D1114yes—
1794C22⋊C4C23×D1114yes—
1795C42—114no—
1796C42—114no—
1797C42—114no—
1798C42—114no—
1799C42—114no—
1800C42—114no—
1801C42C23×D1114yes—
1802C42C23×D1114yes—
1803C42C23×D1114yes—
1804C42C23×D1114yes—
1805C11C2×#356011yescharacteristic, complemented, Sylow
1806C23—22no—
1807C23—22no—
1808C23—22no—
1809C23—22no—
1810C23—22no—
1811C23—22no—
1812C23—22no—
1813C23—22no—
1814C23—22no—
1815C23—114no—
1816C23—112no—
1817C23—112no—
1818C23—112no—
1819C23—112no—
1820C23—112no—
1821C23—112no—
1822C23—228no—
1823C23—222no—
1824C23—222no—
1825C23—222no—
1826C23—222no—
1827C23—222no—
1828C23—222no—
1829C23—222no—
1830C23—222no—
1831C23—222no—
1832C23—222no—
1833C23—222no—
1834C23—222no—
1835C23—222no—
1836C23—222no—
1837C23—222no—
1838C23—222no—
1839C23—222no—
1840C23—444no—
1841C23—444no—
1842C23—444no—
1843C23—444no—
1844C23—444no—
1845C23—444no—
1846C23—444no—
1847C23—444no—
1848C23—888no—
1849C23—888no—
1850C23—888no—
1851C23C24×D1112yes—
1852C23C24×D1112yes—
1853C23C24×D1112yes—
1854C23C24×D1111yescharacteristic
1855Q8—44no—
1856Q8—44no—
1857Q8—44no—
1858Q8—444no—
1859Q8—444no—
1860D4—44no—
1861D4—44no—
1862D4—44no—
1863D4—228no—
1864D4—228no—
1865D4—228no—
1866D4—228no—
1867D4—228no—
1868D4—228no—
1869D4—444no—
1870D4—444no—
1871D4—444no—
1872D4—444no—
1873D4—444no—
1874D4—444no—
1875D4—444no—
1876D4—444no—
1877D4—444no—
1878D4—444no—
1879D4—444no—
1880D4—444no—
1881D4—444no—
1882D4—444no—
1883D4—444no—
1884D4—444no—
1885D4—444no—
1886D4—444no—
1887C2×C4—22no—
1888C2×C4—22no—
1889C2×C4—22no—
1890C2×C4—22no—
1891C2×C4—22no—
1892C2×C4—22no—
1893C2×C4—22no—
1894C2×C4—22no—
1895C2×C4—22no—
1896C2×C4—22no—
1897C2×C4—22no—
1898C2×C4—22no—
1899C2×C4—44no—
1900C2×C4—44no—
1901C2×C4—44no—
1902C2×C4—112no—
1903C2×C4—112no—
1904C2×C4—112no—
1905C2×C4—112no—
1906C2×C4—112no—
1907C2×C4—112no—
1908C2×C4—112no—
1909C2×C4—112no—
1910C2×C4—112no—
1911C2×C4—112no—
1912C2×C4—228no—
1913C2×C4—228no—
1914C2×C4—222no—
1915C2×C4—222no—
1916C2×C4—222no—
1917C2×C4—222no—
1918C2×C4—222no—
1919C2×C4—222no—
1920C2×C4—222no—
1921C2×C4—222no—
1922C2×C4—222no—
1923C2×C4—222no—
1924C2×C4—444no—
1925C2×C4—444no—
1926C2×C4—444no—
1927C2×C4—444no—
1928C2×C4—444no—
1929C2×C4—444no—
1930C2×C4—444no—
1931C2×C4—444no—
1932C2×C4—444no—
1933C2×C4—444no—
1934C2×C4—444no—
1935C2×C4—444no—
1936C2×C4—444no—
1937C2×C4—444no—
1938C2×C4—444no—
1939C2×C4—444no—
1940C2×C4—444no—
1941C2×C4C24×D1112yes—
1942C2×C4C24×D1112yes—
1943C2×C4C24×D1112yes—
1944C2×C4C24×D1112yes—
1945C2×C4C24×D1112yes—
1946C2×C4C24×D1112yes—
1947C2×C4C24×D1112yes—
1948C2×C4C24×D1112yes—
1949C2×C4C24×D1112yes—
1950C2×C4C24×D1112yes—
1951C2×C4C24×D1112yes—
1952C2×C4C24×D1112yes—
1953C22—22no—
1954C22—22no—
1955C22—22no—
1956C22—22no—
1957C22—22no—
1958C22—22no—
1959C22—22no—
1960C22—22no—
1961C22—22no—
1962C22—44no—
1963C22—44no—
1964C22—44no—
1965C22—114no—
1966C22—222no—
1967C22—222no—
1968C22—228no—
1969C22—222no—
1970C22—222no—
1971C22—222no—
1972C22—222no—
1973C22—222no—
1974C22—222no—
1975C22—222no—
1976C22—222no—
1977C22—222no—
1978C22—222no—
1979C22—222no—
1980C22—222no—
1981C22—222no—
1982C22—222no—
1983C22—222no—
1984C22—444no—
1985C22—444no—
1986C22—444no—
1987C22—444no—
1988C22—444no—
1989C22—888no—
1990C22—888no—
1991C22—888no—
1992C22#1062345312yes—
1993C22D11×H(5,𝔽2)12yes—
1994C22#1062345712yes—
1995C22C25×D1111yescharacteristic
1996C4—22no—
1997C4—22no—
1998C4—22no—
1999C4—22no—
2000C4—22no—
2001C4—22no—
2002C4—22no—
2003C4—22no—
2004C4—22no—
2005C4—22no—
2006C4—22no—
2007C4—22no—
2008C4—222no—
2009C4—222no—
2010C4—222no—
2011C4—222no—
2012C4—222no—
2013C4—222no—
2014C4—222no—
2015C4—222no—
2016C4—222no—
2017C4—222no—
2018C2—42no—
2019C2—42no—
2020C2—42no—
2021C2—224no—
2022C2—442no—
2023C2—442no—
2024C2—442no—
2025C2—442no—
2026C2—442no—
2027C2#1308317114yesdirect product factor
2028C2C2×D11×H(5,𝔽2)11yescharacteristic
2029C2C2×#1062345311yescharacteristic
2030C2C2×#1062345711yescharacteristic
subgroupG/H
centerC23C24×D11
commutator, cosocleC22×C11C26
FrattiniC22C25×D11
FittingC2×C11×#542C2
socleC23×C11C25
hypercenterC2×#542D11
hypocenterC11C2×#3560
LCSG ▷ C22×C11 ▷ C11
UCSC1 ◁ C23 ◁ C2×#542

Complements

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

NH ≅ G/Ntype
1. #13083171C2direct (N × H)
2. C2×#10623177C2semidirect
3. C2×#10623266C2semidirect
4. C2×#10623197C2semidirect
5. C2×#10623151C2semidirect
6. C2×#10623240C2semidirect
7. C2×#10623240C2semidirect
8. C2×#10623071C2semidirect
9. C2×#10623061C2semidirect
10. C2×#10623210C2semidirect
11. C2×#10623058C2semidirect
12. C2×#10623257C2semidirect
13. C2×#10623186C2semidirect
14. C2×#10623081C2semidirect
15. C2×#10623207C2semidirect
16. C2×#10623161C2semidirect
17. C2×#10623141C2semidirect
18. C2×#10623113C2semidirect
19. C2×#10623176C2semidirect
20. C2×#10623169C2semidirect
21. C2×#10623191C2semidirect
22. C2×#10623175C2semidirect
23. C2×#10623235C2semidirect
24. C2×#10623209C2semidirect
25. C2×#10623209C2semidirect
26. C2×#10623209C2semidirect
27. C2×#10623160C2semidirect
28. C2×#10623184C2semidirect
29. C2×#10623199C2semidirect
30. C2×#10623111C2semidirect
31. C2×D11×#126C2semidirect
32. C2×C11×#542C2semidirect
33. C22×#4343C22semidirect
34. C22×#4343C22semidirect
35. C22×#4341C22semidirect
37. C22×#4339C22semidirect
39. C11×#542C22semidirect
40. C2×C11×C4⋊Q8C22semidirect
41. C2×C11×#126C22semidirect
42. C2×C11×#126C22semidirect
44. C2×C11×#124C22semidirect
45. C2×C11×#124C22semidirect
47. C2×C11×#123C22semidirect
48. C2×C11×C22⋊Q8C22semidirect
49. C2×C11×C22⋊Q8C22semidirect
50. C2×C11×C22⋊Q8C22semidirect
52. C2×C4×Q8×C11C22semidirect
53. C2×C4×D4×C11C22semidirect
54. C2×C11×#117C22semidirect
56. C2×#67000C22semidirect
57. C2×#67000C22semidirect
58. C2×#66999C22semidirect
59. C2×#66999C22semidirect
60. C2×#66999C22semidirect
61. C2×#66999C22semidirect
62. C2×#66999C22semidirect
63. C2×#66999C22semidirect
64. C2×#66997C22semidirect
65. C2×#66993C22semidirect
67. C2×#66992C22semidirect
68. C2×#66992C22semidirect
72. C2×#66990C22semidirect
73. C2×#66990C22semidirect
76. C2×#66983C22semidirect
77. C2×#66983C22semidirect
79. C2×#66982C22semidirect
80. C2×C4×C22⋊D11C22semidirect
81. C2×C4×C22⋊D11C22semidirect
82. C22×(C2×D11)⋊C4C22semidirect
83. C2×#66977C22semidirect
84. C22×Dic11⋊C4C22semidirect
85. #10623266C22semidirect
86. #10623257C22semidirect
87. #10623240C22semidirect
88. #10623240C22semidirect
89. #10623235C22semidirect
90. D11×#126C22semidirect
91. #10623210C22semidirect
92. #10623209C22semidirect
93. #10623209C22semidirect
94. #10623209C22semidirect
95. #10623207C22semidirect
96. #10623199C22semidirect
97. #10623197C22semidirect
98. #10623191C22semidirect
99. #10623186C22semidirect
100. #10623184C22semidirect
101. #10623177C22semidirect
102. #10623176C22semidirect
103. #10623175C22semidirect
104. #10623169C22semidirect
105. #10623161C22semidirect
106. #10623160C22semidirect
107. #10623151C22semidirect
108. #10623141C22semidirect
109. #10623113C22semidirect
110. #10623111C22semidirect
111. #10623081C22semidirect
112. #10623071C22semidirect
113. #10623061C22semidirect
114. #10623058C22semidirect
115. C2×#66951C22semidirect
116. C2×#66951C22semidirect
117. C2×#66951C22semidirect
118. C2×#66951C22semidirect
119. C2×#66951C22semidirect
120. C2×#66951C22semidirect
121. C2×#66951C22semidirect
122. C2×#66949C22semidirect
123. C2×#66949C22semidirect
124. C2×#66949C22semidirect
125. C2×#66949C22semidirect
130. C2×#66948C22semidirect
131. C2×#66948C22semidirect
132. C2×#66948C22semidirect
137. C2×#66947C22semidirect
138. C2×#66947C22semidirect
139. C2×#66947C22semidirect
140. C2×#66947C22semidirect
141. C2×#66947C22semidirect
142. C2×#66947C22semidirect
143. C2×#66946C22semidirect
144. C2×#66946C22semidirect
145. C2×C4⋊C4×D11C22semidirect
146. C2×C4⋊C4×D11C22semidirect
147. C2×C4⋊C4×D11C22semidirect
148. C2×C4⋊C4×D11C22semidirect
149. C2×#66943C22semidirect
150. C2×#66943C22semidirect
151. C2×#66942C22semidirect
152. C2×#66942C22semidirect
153. C2×#66942C22semidirect
154. C2×#66941C22semidirect
155. C2×#66939C22semidirect
156. C2×#66939C22semidirect
157. C2×#66939C22semidirect
163. C2×#66937C22semidirect
164. C2×#66937C22semidirect
165. C2×#66937C22semidirect
166. C2×#66937C22semidirect
167. C2×#66937C22semidirect
168. C2×#66937C22semidirect
169. C2×#66937C22semidirect
170. C2×#66937C22semidirect
172. C2×#66936C22semidirect
173. C2×#66936C22semidirect
174. C2×#66936C22semidirect
175. C2×#66936C22semidirect
176. C2×#66936C22semidirect
181. C2×#66935C22semidirect
182. C2×#66935C22semidirect
183. C2×(C22⋊D11)⋊C4C22semidirect
184. C2×(C22⋊D11)⋊C4C22semidirect
185. C2×(C22⋊D11)⋊C4C22semidirect
186. C2×(C22⋊D11)⋊C4C22semidirect
187. C2×(C22⋊D11)⋊C4C22semidirect
188. C2×(C22⋊D11)⋊C4C22semidirect
189. C2×(C22⋊D11)⋊C4C22semidirect
190. C2×(C22⋊D11)⋊C4C22semidirect
194. C2×C22⋊C4×D11C22semidirect
195. C2×C22⋊C4×D11C22semidirect
196. C2×C22⋊C4×D11C22semidirect
197. C2×#66932C22semidirect
198. C2×#66932C22semidirect
199. C2×#66932C22semidirect
200. C2×#66932C22semidirect
201. C2×#66932C22semidirect
202. C2×#66931C22semidirect
203. C2×#66929C22semidirect
204. C2×#66929C22semidirect
205. C2×#66929C22semidirect
206. C2×#66929C22semidirect
208. C2×#66928C22semidirect
209. C2×C4×D44C22semidirect
210. C2×C4×D44C22semidirect
211. C2×C4×D44C22semidirect
212. C2×C4×D44C22semidirect
213. C2×C4×D44C22semidirect
214. C2×C4×D44C22semidirect
215. C2×#66925C22semidirect
216. C2×#66925C22semidirect
217. C2×#66925C22semidirect
218. C2×C42×D11C22semidirect
248. C2×#4343C23semidirect
249. C2×#4343C23semidirect
251. C2×#4341C23semidirect
255. C2×#4339C23semidirect
288. C11×C4⋊Q8C23semidirect
289. C11×#126C23semidirect
290. C11×#126C23semidirect
292. C11×#124C23semidirect
293. C11×#124C23semidirect
295. C11×#123C23semidirect
296. C11×C22⋊Q8C23semidirect
297. C11×C22⋊Q8C23semidirect
298. C11×C22⋊Q8C23semidirect
300. C4×Q8×C11C23semidirect
301. C4×D4×C11C23semidirect
302. C11×#117C23semidirect
336. #67000C23semidirect
337. #67000C23semidirect
338. #66999C23semidirect
339. #66999C23semidirect
340. #66999C23semidirect
341. #66999C23semidirect
342. #66999C23semidirect
343. #66999C23semidirect
344. #66997C23semidirect
345. #66993C23semidirect
347. #66992C23semidirect
348. #66992C23semidirect
352. #66990C23semidirect
353. #66990C23semidirect
356. #66983C23semidirect
357. #66983C23semidirect
359. #66982C23semidirect
360. C4×C22⋊D11C23semidirect
361. C4×C22⋊D11C23semidirect
394. C2×(C2×D11)⋊C4C23semidirect
403. #66977C23semidirect
424. C2×Dic11⋊C4C23semidirect
431. #66951C23semidirect
432. #66951C23semidirect
433. #66951C23semidirect
434. #66951C23semidirect
435. #66951C23semidirect
436. #66951C23semidirect
437. #66951C23semidirect
438. #66949C23semidirect
439. #66949C23semidirect
440. #66949C23semidirect
441. #66949C23semidirect
446. #66948C23semidirect
447. #66948C23semidirect
448. #66948C23semidirect
453. #66947C23semidirect
454. #66947C23semidirect
455. #66947C23semidirect
456. #66947C23semidirect
457. #66947C23semidirect
458. #66947C23semidirect
459. #66946C23semidirect
460. #66946C23semidirect
461. C4⋊C4×D11C23semidirect
462. C4⋊C4×D11C23semidirect
463. C4⋊C4×D11C23semidirect
464. C4⋊C4×D11C23semidirect
465. #66943C23semidirect
466. #66943C23semidirect
467. #66942C23semidirect
468. #66942C23semidirect
469. #66942C23semidirect
470. #66941C23semidirect
471. #66939C23semidirect
472. #66939C23semidirect
473. #66939C23semidirect
479. #66937C23semidirect
480. #66937C23semidirect
481. #66937C23semidirect
482. #66937C23semidirect
483. #66937C23semidirect
484. #66937C23semidirect
485. #66937C23semidirect
486. #66937C23semidirect
488. #66936C23semidirect
489. #66936C23semidirect
490. #66936C23semidirect
491. #66936C23semidirect
492. #66936C23semidirect
497. #66935C23semidirect
498. #66935C23semidirect
499. (C22⋊D11)⋊C4C23semidirect
500. (C22⋊D11)⋊C4C23semidirect
501. (C22⋊D11)⋊C4C23semidirect
502. (C22⋊D11)⋊C4C23semidirect
503. (C22⋊D11)⋊C4C23semidirect
504. (C22⋊D11)⋊C4C23semidirect
505. (C22⋊D11)⋊C4C23semidirect
506. (C22⋊D11)⋊C4C23semidirect
510. C22⋊C4×D11C23semidirect
511. C22⋊C4×D11C23semidirect
512. C22⋊C4×D11C23semidirect
513. #66932C23semidirect
514. #66932C23semidirect
515. #66932C23semidirect
516. #66932C23semidirect
517. #66932C23semidirect
518. #66931C23semidirect
519. #66929C23semidirect
520. #66929C23semidirect
521. #66929C23semidirect
522. #66929C23semidirect
524. #66928C23semidirect
525. C4×D44C23semidirect
526. C4×D44C23semidirect
527. C4×D44C23semidirect
528. C4×D44C23semidirect
529. C4×D44C23semidirect
530. C4×D44C23semidirect
531. #66925C23semidirect
532. #66925C23semidirect
533. #66925C23semidirect
534. C42×D11C23semidirect
809. C2×#542D11semidirect
993. #542C2×D11semidirect
1007. C2×C4⋊Q8C2×D11semidirect
1027. C2×#126C2×D11semidirect
1028. C2×#126C2×D11semidirect
1041. C2×#124C2×D11semidirect
1042. C2×#124C2×D11semidirect
1066. C2×#123C2×D11semidirect
1079. C2×C22⋊Q8C2×D11semidirect
1080. C2×C22⋊Q8C2×D11semidirect
1081. C2×C22⋊Q8C2×D11semidirect
1119. C2×C4×Q8C2×D11semidirect
1138. C2×C4×D4C2×D11semidirect
1142. C2×#117C2×D11semidirect
1292. C4⋊Q8C22×D11semidirect
1310. #126C22×D11semidirect
1311. #126C22×D11semidirect
1324. #124C22×D11semidirect
1325. #124C22×D11semidirect
1349. #123C22×D11semidirect
1362. C22⋊Q8C22×D11semidirect
1363. C22⋊Q8C22×D11semidirect
1364. C22⋊Q8C22×D11semidirect
1402. C4×Q8C22×D11semidirect
1421. C4×D4C22×D11semidirect
1425. #117C22×D11semidirect
1540. C2×C11#3560semidirect
1805. C11C2×#3560semidirect
2027. C2#13083171direct (N × H)

Maximal subgroups

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

subgroupindex
#130831712
C2×#106231772
C2×#106232662
C2×#106231972
C2×#106231512
C2×#106232402
C2×#106230712
C2×#106230612
C2×#106232102
C2×#106230582
C2×#106232572
C2×#106231862
C2×#106230812
C2×#106232072
C2×#106231612
C2×#106231412
C2×#106231132
C2×#106231762
C2×#106231692
C2×#106231912
C2×#106231752
C2×#106232352
C2×#106232092
C2×#106231602
C2×#106231842
C2×#106231992
C2×#106231112
C2×D11×#1262
C2×C11×#5422
C2×#356011