Finite Group Databasebeta

← C2×#13082823 #15660983

Subgroups — C2×#13082823 #15660983

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#13082823C2132yesmaximal, direct product factor
2C2×#10623230C211yesmaximal, characteristic, complemented
3C2×#10623243C211yesmaximal, characteristic, complemented
4C2×#10623198C211yesmaximal, characteristic, complemented
5C2×#10623178C211yesmaximal, characteristic, complemented
6C2×#10623166C211yesmaximal, characteristic, complemented
7C2×#10623221C211yesmaximal, characteristic, complemented
8C2×#10623173C211yesmaximal, characteristic, complemented
9C2×#10623072C211yesmaximal, characteristic, complemented
10C2×#10623087C211yesmaximal, characteristic, complemented
11C2×#10623168C211yesmaximal, characteristic, complemented
12C2×#10623236C211yesmaximal, characteristic, complemented
13C2×#10623189C211yesmaximal, characteristic, complemented
14C2×#10623086C211yesmaximal, characteristic, complemented
15C2×#10623142C211yesmaximal, characteristic, complemented
16C2×#10623085C211yesmaximal, characteristic, complemented
17C2×#10623141C211yesmaximal, characteristic, complemented
18C2×#10623220C211yesmaximal, characteristic, complemented
19C2×#10623165C211yesmaximal, characteristic, complemented
20C2×#10623174C211yesmaximal, characteristic, complemented
21C2×#10623241C211yesmaximal, characteristic, complemented
22C2×#10623223C211yesmaximal, characteristic, complemented
23C2×#10623046C211yesmaximal, characteristic, complemented
24C2×#10623196C211yesmaximal, characteristic, complemented
25C2×#10623238C211yesmaximal, characteristic, complemented
26C2×#10623188C211yesmaximal, characteristic, complemented
27C2×#10623179C211yesmaximal, characteristic, complemented
28C2×#10623179C211yesmaximal, characteristic, complemented
29C2×#10623187C211yesmaximal, characteristic, complemented
30C2×D11×#123C211yesmaximal, characteristic, complemented
31C22×#66950C211yesmaximal, characteristic, complemented
32C2×C11×#539C211yesmaximal, characteristic, complemented
33C22×#4341C2211yescharacteristic
34C22×#4341C2211yescharacteristic
35C22×#4341C2211yescharacteristic, complemented
36C22×D4×D11C2211yescharacteristic
37C23×C4×D11C2211yescharacteristic
38C23×Dic22C2211yescharacteristic, complemented
39C11×#539C22116yescomplemented
40C2×C11×#126C2211yescharacteristic, complemented
41C2×C11×#126C2211yescharacteristic, complemented
42C2×C11×#125C2211yescharacteristic, complemented
43C2×C11×#125C2211yescharacteristic, complemented
44C2×C11×#123C2211yescharacteristic
45C2×C11×#123C2211yescharacteristic, complemented
46C2×C11×#123C2211yescharacteristic, complemented
47C2×C11×#123C2211yescharacteristic, complemented
48C2×C11×C22⋊Q8C2211yescharacteristic, complemented
49C2×C11×C22⋊Q8C2211yescharacteristic, complemented
50C2×C11×C22⋊Q8C2211yescharacteristic, complemented
51C2×C11×#121C2211yescharacteristic
52C2×C4×D4×C11C2211yescharacteristic
53C2×C4×D4×C11C2211yescharacteristic, complemented
54C22×C11×C4⋊C4C2211yescharacteristic, complemented
55C2×#67000C2211yescharacteristic, complemented
56C2×#66999C2211yescharacteristic
57C2×#66999C2211yescharacteristic, complemented
58C2×Q8×Dic11C2211yescharacteristic, complemented
59C2×#66992C2211yescharacteristic
60C2×#66991C2211yescharacteristic, complemented
61C2×#66990C2211yescharacteristic
62C2×#66990C2211yescharacteristic
63C2×#66988C2211yescharacteristic
64C2×#66988C2211yescharacteristic
65C2×#66988C2211yescharacteristic, complemented
66C2×D4×Dic11C2211yescharacteristic, complemented
67C2×#66983C2211yescharacteristic
68C2×#66983C2211yescharacteristic
69C2×#66983C2211yescharacteristic, complemented
70C2×#66982C2211yescharacteristic
71C2×#66982C2211yescharacteristic, complemented
72C2×#66982C2211yescharacteristic, complemented
73C2×C4×C22⋊D11C2211yescharacteristic
74C2×C4×C22⋊D11C2211yescharacteristic
75C2×C4×C22⋊D11C2211yescharacteristic, complemented
76C22×(C2×D11)⋊C4C2211yescharacteristic
77C22×(C2×D11)⋊C4C2211yescharacteristic
78C22×(C2×D11)⋊C4C2211yescharacteristic
79C2×#66979C2211yescharacteristic, complemented
80C22×C4⋊Dic11C2211yescharacteristic, complemented
81C22×C4⋊Dic11C2211yescharacteristic, complemented
82C22×C4⋊Dic11C2211yescharacteristic, complemented
83C2×#66977C2211yescharacteristic, complemented
84C2×#66977C2211yescharacteristic, complemented
85#10623243C22116yescomplemented
86#10623241C22116yescomplemented
87#10623238C22116yescomplemented
88#10623236C22116yescomplemented
89#10623230C22116yescomplemented
90#10623223C22116yescomplemented
91#10623221C22116yescomplemented
92#10623220C22116yescomplemented
93#10623198C22116yescomplemented
94#10623196C22116yescomplemented
95#10623189C22116yescomplemented
96#10623188C22116yescomplemented
97#10623187C22116yescomplemented
98D11×#123C22116yescomplemented
99#10623179C22116yescomplemented
100#10623179C22116yescomplemented
101#10623178C22116yescomplemented
102#10623174C22116yescomplemented
103#10623173C22116yescomplemented
104#10623168C22116yescomplemented
105#10623166C22116yescomplemented
106#10623165C22116yescomplemented
107#10623142C22116yescomplemented
108#10623141C22116yescomplemented
109#10623087C22116yescomplemented
110#10623086C22116yescomplemented
111#10623085C22116yescomplemented
112#10623072C22116yescomplemented
113#10623046C22116yescomplemented
114C2×#66951C2211yescharacteristic, complemented
115C2×#66951C2211yescharacteristic, complemented
116C2×#66951C2211yescharacteristic, complemented
117C2×#66951C2211yescharacteristic, complemented
118C2×#66951C2211yescharacteristic, complemented
119C2×#66951C2211yescharacteristic, complemented
120C2×#66951C2211yescharacteristic, complemented
121C2×#66950C2211yescharacteristic
122C2×#66950C2211yescharacteristic
123C2×#66950C2211yescharacteristic
124C2×#66950C2211yescharacteristic
125C2×#66950C2211yescharacteristic
126C2×#66950C22116yescomplemented
127C2×#66950C2211yescharacteristic, complemented
128C2×#66950C2211yescharacteristic, complemented
129C2×#66950C2211yescharacteristic, complemented
130C2×#66950C2211yescharacteristic, complemented
131C2×#66950C2211yescharacteristic, complemented
132C2×#66950C2211yescharacteristic, complemented
133C2×#66949C2211yescharacteristic
134C2×#66949C2211yescharacteristic
135C2×#66949C2211yescharacteristic
136C2×#66949C2211yescharacteristic, complemented
137C2×#66949C2211yescharacteristic, complemented
138C2×#66949C2211yescharacteristic, complemented
139C2×#66949C2211yescharacteristic, complemented
140C2×#66949C2211yescharacteristic, complemented
141C2×#66949C2211yescharacteristic, complemented
142C2×#66949C2211yescharacteristic, complemented
143C2×#66948C2211yescharacteristic
144C2×#66947C2211yescharacteristic
145C2×#66947C2211yescharacteristic
146C2×#66947C2211yescharacteristic
147C2×#66947C2211yescharacteristic
148C2×#66947C2211yescharacteristic, complemented
149C2×#66947C2211yescharacteristic, complemented
150C2×#66947C2211yescharacteristic, complemented
151C2×#66946C2211yescharacteristic
152C2×#66946C2211yescharacteristic
153C2×#66946C2211yescharacteristic, complemented
154C2×#66945C2211yescharacteristic
155C2×#66945C2211yescharacteristic, complemented
156C2×C4⋊C4×D11C2211yescharacteristic
157C2×C4⋊C4×D11C2211yescharacteristic
158C2×C4⋊C4×D11C2211yescharacteristic, complemented
159C2×#66943C2211yescharacteristic, complemented
160C2×#66943C2211yescharacteristic, complemented
161C2×#66943C2211yescharacteristic, complemented
162C2×#66942C2211yescharacteristic, complemented
163C2×#66942C2211yescharacteristic, complemented
164C2×#66942C2211yescharacteristic, complemented
165C2×#66942C2211yescharacteristic, complemented
166C2×#66941C2211yescharacteristic, complemented
167C2×#66941C2211yescharacteristic, complemented
168C2×#66941C2211yescharacteristic, complemented
169C2×#66941C2211yescharacteristic, complemented
170C2×#66941C2211yescharacteristic, complemented
171C2×#66939C2211yescharacteristic
172C2×#66939C2211yescharacteristic
173C2×#66939C2211yescharacteristic
174C2×#66939C2211yescharacteristic, complemented
175C2×#66939C2211yescharacteristic, complemented
176C2×#66939C2211yescharacteristic, complemented
177C2×#66938C2211yescharacteristic
178C2×#66938C2211yescharacteristic, complemented
179C2×#66938C2211yescharacteristic, complemented
180C2×#66938C2211yescharacteristic, complemented
181C2×#66938C2211yescharacteristic, complemented
182C2×#66938C2211yescharacteristic, complemented
183C2×#66937C2211yescharacteristic
184C2×#66937C2211yescharacteristic
185C2×#66937C2211yescharacteristic, complemented
186C2×#66936C2211yescharacteristic
187C2×#66936C2211yescharacteristic
188C2×#66936C2211yescharacteristic
189C2×#66936C2211yescharacteristic, complemented
190C2×#66936C2211yescharacteristic, complemented
191C2×#66935C2211yescharacteristic
192C2×#66935C2211yescharacteristic
193C2×(C22⋊D11)⋊C4C2211yescharacteristic
194C2×(C22⋊D11)⋊C4C2211yescharacteristic
195C2×(C22⋊D11)⋊C4C2211yescharacteristic, complemented
196C2×C22⋊C4×D11C2211yescharacteristic
197C2×C22⋊C4×D11C2211yescharacteristic
198C2×C22⋊C4×D11C2211yescharacteristic
199C2×C22⋊C4×D11C2211yescharacteristic
200C2×#66932C2211yescharacteristic, complemented
201C2×#66932C2211yescharacteristic, complemented
202C2×#66931C2211yescharacteristic, complemented
203C2×#66931C2211yescharacteristic, complemented
204C2×#66931C2211yescharacteristic, complemented
205C2×#66931C2211yescharacteristic, complemented
206C2×#66931C2211yescharacteristic, complemented
207C2×#66931C2211yescharacteristic, complemented
208C2×#66930C2211yescharacteristic, complemented
209C2×#66930C2211yescharacteristic, complemented
210C2×#66930C2211yescharacteristic, complemented
211C2×#66929C2211yescharacteristic, complemented
212C2×#66928C2211yescharacteristic
213C2×C4×D44C2211yescharacteristic
214C2×C4×D44C2211yescharacteristic, complemented
215C2×#66925C2211yescharacteristic
216C2×#66923C2211yescharacteristic, complemented
217C2×#66922C2211yescharacteristic, complemented
218C2×C4×Dic22C2211yescharacteristic, complemented
219C24×D11C2311yescharacteristic
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⋊D11C2311yescharacteristic
231C22×C22⋊D11C2311yescharacteristic
232C22×C22⋊D11C2311yescharacteristic
233C22×C22⋊D11C2311yescharacteristic
234C22×C22⋊D11C2311yescharacteristic
235C22×C22⋊D11C2311yescharacteristic
236C22×C22⋊D11C2311yescharacteristic
237C22×C22⋊D11C2311yescharacteristic
238C23×Dic11C2311yescharacteristic
239C23×Dic11C2311yescharacteristic
240C23×Dic11C2311yescharacteristic
241C23×Dic11C2311yescharacteristic
242C23×Dic11C2311yescharacteristic
243C23×Dic11C2311yescharacteristic
244C2×#4341—44no—
245C2×#4341—44no—
246C2×#4341—44no—
247C2×#4341C2318yes—
248C2×#4341C2318yes—
249C2×#4341C2318yescomplemented
250C2×D4×D11—44no—
251C2×D4×D11C2318yes—
252C22×D44C2311yescharacteristic
253C22×D44C2311yescharacteristic
254C22×D44C2311yescharacteristic
255C22×D44C2311yescharacteristic
256C22×C4×D11—44no—
257C22×C4×D11C2311yescharacteristic
258C22×C4×D11C2311yescharacteristic
259C22×C4×D11C2311yescharacteristic
260C22×C4×D11C2311yescharacteristic
261C22×C4×D11C2311yescharacteristic
262C22×C4×D11C2311yescharacteristic
263C22×C4×D11C2311yescharacteristic
264C22×C4×D11C2311yescharacteristic
265C22×C4×D11C2311yescharacteristic
266C22×C4×D11C2311yescharacteristic
267C22×C4×D11C2311yescharacteristic
268C22×C4×D11C2311yescharacteristic
269C22×C4×D11C2318yes—
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×#125C2318yescomplemented
283C11×#125C2318yescomplemented
284C11×#123C2318yes—
285C11×#123C2318yescomplemented
286C11×#123C2318yescomplemented
287C11×#123C2318yescomplemented
288C11×C22⋊Q8C2318yescomplemented
289C11×C22⋊Q8C2318yescomplemented
290C11×C22⋊Q8C2318yescomplemented
291C11×#121C2318yes—
292C4×D4×C11C2318yes—
293C4×D4×C11C2318yescomplemented
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×C4⋊C4C2311yescharacteristic
302C2×C11×C4⋊C4C2311yescharacteristic
303C2×C11×C4⋊C4C2311yescharacteristic
304C2×C11×C4⋊C4C2311yescharacteristic
305C2×C11×C4⋊C4C2311yescharacteristic
306C2×C11×C4⋊C4C2311yescharacteristic
307C2×C11×C4⋊C4C2311yescharacteristic
308C2×C11×C4⋊C4C2318yescomplemented
309C2×C11×C22⋊C4C2311yescharacteristic
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⋊C4C2311yescharacteristic
317C2×C11×C22⋊C4C2311yescharacteristic
318C2×C11×C22⋊C4C2311yescharacteristic
319C2×C42×C11C2311yescharacteristic
320C2×C42×C11C2311yescharacteristic
321C2×C22⋊Dic11C2311yescharacteristic
322C2×C22⋊Dic11C2311yescharacteristic
323C2×C22⋊Dic11C2311yescharacteristic
324C2×C22⋊Dic11C2311yescharacteristic
325C2×C22⋊Dic11C2311yescharacteristic
326C2×C22⋊Dic11C2311yescharacteristic
327C2×C22⋊Dic11C2311yescharacteristic
328C2×C22⋊Dic11C2311yescharacteristic
329#67000C2318yescomplemented
330#66999C2318yes—
331#66999C2318yescomplemented
332Q8×Dic11C2318yescomplemented
333#66992C2318yes—
334#66991C2318yescomplemented
335#66990C2318yes—
336#66990C2318yes—
337#66988C2318yes—
338#66988C2318yes—
339#66988C2318yescomplemented
340D4×Dic11C2318yescomplemented
341#66983C2318yes—
342#66983C2318yes—
343#66983C2318yescomplemented
344#66982C2318yes—
345#66982C2318yescomplemented
346#66982C2318yescomplemented
347C4×C22⋊D11C2318yes—
348C4×C22⋊D11C2318yes—
349C4×C22⋊D11C2318yescomplemented
350C2×(C2×D11)⋊C4C2311yescharacteristic
351C2×(C2×D11)⋊C4C2311yescharacteristic
352C2×(C2×D11)⋊C4C2311yescharacteristic
353C2×(C2×D11)⋊C4C2311yescharacteristic
354C2×(C2×D11)⋊C4C2311yescharacteristic
355C2×(C2×D11)⋊C4C2311yescharacteristic
356C2×(C2×D11)⋊C4C2311yescharacteristic
357C2×(C2×D11)⋊C4C2311yescharacteristic
358C2×(C2×D11)⋊C4C2311yescharacteristic
359C2×(C2×D11)⋊C4C2311yescharacteristic
360C2×(C2×D11)⋊C4C2311yescharacteristic
361C2×(C2×D11)⋊C4C2311yescharacteristic
362C2×(C2×D11)⋊C4C2311yescharacteristic
363C2×(C2×D11)⋊C4C2311yescharacteristic
364C2×(C2×D11)⋊C4C2311yescharacteristic
365C2×(C2×D11)⋊C4C2311yescharacteristic
366C2×(C2×D11)⋊C4C2311yescharacteristic
367C2×(C2×D11)⋊C4C2311yescharacteristic
368C2×(C2×D11)⋊C4C2311yescharacteristic
369C2×(C2×D11)⋊C4C2311yescharacteristic
370C2×(C2×D11)⋊C4C2311yescharacteristic
371C2×(C2×D11)⋊C4C2311yescharacteristic
372C2×(C2×D11)⋊C4C2311yescharacteristic
373C2×(C2×D11)⋊C4C2311yescharacteristic
374C2×(C2×D11)⋊C4C2311yescharacteristic
375C2×(C2×D11)⋊C4C2311yescharacteristic
376C2×(C2×D11)⋊C4C2311yescharacteristic
377C2×(C2×D11)⋊C4C2311yescharacteristic
378C2×(C2×D11)⋊C4C2318yes—
379C2×(C2×D11)⋊C4C2318yes—
380C2×(C2×D11)⋊C4C2318yes—
381#66979C2318yescomplemented
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⋊Dic11C2318yescomplemented
399C2×C4⋊Dic11C2318yescomplemented
400C2×C4⋊Dic11C2318yescomplemented
401#66977C2318yescomplemented
402#66977C2318yescomplemented
403C2×Dic11⋊C4C2311yescharacteristic
404C2×Dic11⋊C4C2311yescharacteristic
405C2×Dic11⋊C4C2311yescharacteristic
406C2×Dic11⋊C4C2311yescharacteristic
407C2×Dic11⋊C4C2311yescharacteristic
408C2×Dic11⋊C4C2311yescharacteristic
409C2×Dic11⋊C4C2311yescharacteristic
410C2×Dic11⋊C4C2311yescharacteristic
411C2×Dic11⋊C4C2311yescharacteristic
412C2×Dic11⋊C4C2311yescharacteristic
413C2×Dic11⋊C4C2311yescharacteristic
414C2×Dic11⋊C4C2311yescharacteristic
415C2×Dic11⋊C4C2311yescharacteristic
416C2×Dic11⋊C4C2311yescharacteristic
417C2×Dic11⋊C4C2311yescharacteristic
418C2×Dic11⋊C4C2311yescharacteristic
419C2×Dic11⋊C4C2311yescharacteristic
420C2×Dic11⋊C4C2311yescharacteristic
421C2×Dic11⋊C4C2311yescharacteristic
422C2×Dic11⋊C4C2311yescharacteristic
423C2×C4×Dic11C2311yescharacteristic
424C2×C4×Dic11C2311yescharacteristic
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#66950C2318yes—
439#66950C2318yes—
440#66950C2318yes—
441#66950C2318yes—
442#66950C2318yes—
443#66950C2318yescomplemented
444#66950C2318yescomplemented
445#66950C2318yescomplemented
446#66950C2318yescomplemented
447#66950C2318yescomplemented
448#66950C2318yescomplemented
449#66949C2318yes—
450#66949C2318yes—
451#66949C2318yes—
452#66949C2318yescomplemented
453#66949C2318yescomplemented
454#66949C2318yescomplemented
455#66949C2318yescomplemented
456#66949C2318yescomplemented
457#66949C2318yescomplemented
458#66949C2318yescomplemented
459#66948C2318yes—
460#66947C2318yes—
461#66947C2318yes—
462#66947C2318yes—
463#66947C2318yes—
464#66947C2318yescomplemented
465#66947C2318yescomplemented
466#66947C2318yescomplemented
467#66946C2318yes—
468#66946C2318yes—
469#66946C2318yescomplemented
470#66945C2318yes—
471#66945C2318yescomplemented
472C4⋊C4×D11C2318yes—
473C4⋊C4×D11C2318yes—
474C4⋊C4×D11C2318yescomplemented
475#66943C2318yescomplemented
476#66943C2318yescomplemented
477#66943C2318yescomplemented
478#66942C2318yescomplemented
479#66942C2318yescomplemented
480#66942C2318yescomplemented
481#66942C2318yescomplemented
482#66941C2318yescomplemented
483#66941C2318yescomplemented
484#66941C2318yescomplemented
485#66941C2318yescomplemented
486#66941C2318yescomplemented
487#66939C2318yes—
488#66939C2318yes—
489#66939C2318yes—
490#66939C2318yescomplemented
491#66939C2318yescomplemented
492#66939C2318yescomplemented
493#66938C2318yes—
494#66938C2318yescomplemented
495#66938C2318yescomplemented
496#66938C2318yescomplemented
497#66938C2318yescomplemented
498#66938C2318yescomplemented
499#66937C2318yes—
500#66937C2318yes—
501#66937C2318yescomplemented
502#66936C2318yes—
503#66936C2318yes—
504#66936C2318yes—
505#66936C2318yescomplemented
506#66936C2318yescomplemented
507#66935C2318yes—
508#66935C2318yes—
509(C22⋊D11)⋊C4C2318yes—
510(C22⋊D11)⋊C4C2318yes—
511(C22⋊D11)⋊C4C2318yescomplemented
512C22⋊C4×D11C2318yes—
513C22⋊C4×D11C2318yes—
514C22⋊C4×D11C2318yes—
515C22⋊C4×D11C2318yes—
516#66932C2318yescomplemented
517#66932C2318yescomplemented
518#66931C2318yescomplemented
519#66931C2318yescomplemented
520#66931C2318yescomplemented
521#66931C2318yescomplemented
522#66931C2318yescomplemented
523#66931C2318yescomplemented
524#66930C2318yescomplemented
525#66930C2318yescomplemented
526#66930C2318yescomplemented
527#66929C2318yescomplemented
528#66928C2318yes—
529C4×D44C2318yes—
530C4×D44C2318yescomplemented
531#66925C2318yes—
532#66923C2318yescomplemented
533#66922C2318yescomplemented
534C4×Dic22C2318yescomplemented
535C2×#3535—111nomaximal, Sylow
536C24×C11C2411yescharacteristic
537C24×C11C2411yescharacteristic
538C24×C11C2411yescharacteristic
539C23×D11—24no—
540C23×D11—24no—
541C23×D11—24no—
542C23×D11—42no—
543C23×D11—42no—
544C23×D11—42no—
545C23×D11C2411yescharacteristic
546C23×D11C2411yescharacteristic
547C23×D11C2411yescharacteristic
548C23×D11C2414yes—
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—42no—
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×C11C2411yescharacteristic
576C22×C4×C11C2414yes—
577C22×C4×C11C2414yes—
578C22×C4×C11C2414yes—
579C22×C4×C11C2414yes—
580C22×C4×C11C2414yes—
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⋊D11C2414yes—
590C2×C22⋊D11C2414yes—
591C2×C22⋊D11C2414yes—
592C2×C22⋊D11C2414yes—
593C2×C22⋊D11C2414yes—
594C2×C22⋊D11C2414yes—
595C2×C22⋊D11C2414yes—
596C2×C22⋊D11C2414yes—
597C22×Dic11—24no—
598C22×Dic11—24no—
599C22×Dic11—24no—
600C22×Dic11—42no—
601C22×Dic11—42no—
602C22×Dic11—42no—
603C22×Dic11C2414yes—
604C22×Dic11C2414yes—
605C22×Dic11C2414yes—
606C22×Dic11C2411yescharacteristic
607C22×Dic11C2411yescharacteristic
608C22×Dic11C2411yescharacteristic
609C22×Dic11C2411yescharacteristic
610C22×Dic11C2411yescharacteristic
611C22×Dic11C2411yescharacteristic
612C22×Dic11C2411yescharacteristic
613C22×Dic11C2411yescharacteristic
614C22×Dic11C2411yescharacteristic
615C22×Dic11C2411yescharacteristic
616C22×Dic11C2411yescharacteristic
617C22×Dic11C2411yescharacteristic
618C22×Dic11C2414yes—
619C22×Dic11C2414yes—
620C22×Dic11C2414yes—
621#4341—416no—
622#4341—416no—
623#4341—416no—
624D4×D11—416no—
625C2×D44—24no—
626C2×D44—42no—
627C2×D44—42no—
628C2×D44—42no—
629C2×D44C2414yes—
630C2×D44C2414yes—
631C2×D44C2414yes—
632C2×D44C2414yes—
633C2×C4×D11—24no—
634C2×C4×D11—42no—
635C2×C4×D11—42no—
636C2×C4×D11—42no—
637C2×C4×D11—42no—
638C2×C4×D11—416no—
639C2×C4×D11—42no—
640C2×C4×D11—42no—
641C2×C4×D11—42no—
642C2×C4×D11—42no—
643C2×C4×D11—42no—
644C2×C4×D11—42no—
645C2×C4×D11—42no—
646C2×C4×D11C2414yes—
647C2×C4×D11C2414yes—
648C2×C4×D11C2414yes—
649C2×C4×D11C2414yes—
650C2×C4×D11C2414yes—
651C2×C4×D11C2414yes—
652C2×C4×D11C2414yes—
653C2×C4×D11C2414yes—
654C2×C4×D11C2414yes—
655C2×C4×D11C2414yes—
656C2×C4×D11C2414yes—
657C2×C4×D11C2414yes—
658C2×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×C4⋊C4C2414yes—
684C11×C4⋊C4C2414yes—
685C11×C4⋊C4C2414yes—
686C11×C4⋊C4C2414yes—
687C11×C4⋊C4C2414yes—
688C11×C4⋊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—
697C11×C22⋊C4C2414yes—
698C11×C22⋊C4C2414yes—
699C42×C11C2414yes—
700C42×C11C2414yes—
701C22⋊Dic11C2414yes—
702C22⋊Dic11C2414yes—
703C22⋊Dic11C2414yes—
704C22⋊Dic11C2414yes—
705C22⋊Dic11C2414yes—
706C22⋊Dic11C2414yes—
707C22⋊Dic11C2414yes—
708C22⋊Dic11C2414yes—
709(C2×D11)⋊C4C2414yes—
710(C2×D11)⋊C4C2414yes—
711(C2×D11)⋊C4C2414yes—
712(C2×D11)⋊C4C2414yes—
713(C2×D11)⋊C4C2414yes—
714(C2×D11)⋊C4C2414yes—
715(C2×D11)⋊C4C2414yes—
716(C2×D11)⋊C4C2414yes—
717(C2×D11)⋊C4C2414yes—
718(C2×D11)⋊C4C2414yes—
719(C2×D11)⋊C4C2414yes—
720(C2×D11)⋊C4C2414yes—
721(C2×D11)⋊C4C2414yes—
722(C2×D11)⋊C4C2414yes—
723(C2×D11)⋊C4C2414yes—
724(C2×D11)⋊C4C2414yes—
725(C2×D11)⋊C4C2414yes—
726(C2×D11)⋊C4C2414yes—
727(C2×D11)⋊C4C2414yes—
728(C2×D11)⋊C4C2414yes—
729(C2×D11)⋊C4C2414yes—
730(C2×D11)⋊C4C2414yes—
731(C2×D11)⋊C4C2414yes—
732(C2×D11)⋊C4C2414yes—
733(C2×D11)⋊C4C2414yes—
734(C2×D11)⋊C4C2414yes—
735(C2×D11)⋊C4C2414yes—
736(C2×D11)⋊C4C2414yes—
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—
752C4⋊Dic11C2414yes—
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—
773C4×Dic11C2414yes—
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×#551—111no—
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×#539D1111yescharacteristic, complemented
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—22no—
819C23×C11—22no—
820C23×C11—22no—
821C23×C11H(5,𝔽2)14yes—
822C23×C11C2512yes—
823C23×C11C2512yes—
824C23×C11C2512yes—
825C23×C11C2511yescharacteristic
826C22×D11—22no—
827C22×D11—22no—
828C22×D11—22no—
829C22×D11—28no—
830C22×D11—22no—
831C22×D11—22no—
832C22×D11—22no—
833C22×D11—22no—
834C22×D11—22no—
835C22×D11—22no—
836C22×D11—22no—
837C22×D11—22no—
838C22×D11—28no—
839C22×D11—28no—
840C22×D11—44no—
841C22×D11—44no—
842C22×D11—44no—
843C22×D11—416no—
844C22×D11—88no—
845C22×D112−1+414yes—
846C22×D11C2512yes—
847C22×D11C2512yes—
848C22×D11C2512yes—
849C22×D11C2512yes—
850Q8×C11—44no—
851D4×C11—28no—
852D4×C11—28no—
853D4×C11—44no—
854C2×C4×C11—28no—
855C2×C4×C11—22no—
856C2×C4×C11—22no—
857C2×C4×C11—22no—
858C2×C4×C11—22no—
859C2×C4×C11—22no—
860C2×C4×C11—22no—
861C2×C4×C11—22no—
862C2×C4×C11—22no—
863C2×C4×C11—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×C11—44no—
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—
881C2×C4×C11C2512yes—
882C2×C4×C11C2512yes—
883C22⋊D11—28no—
884C22⋊D11—28no—
885C22⋊D11—28no—
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—22no—
895C2×Dic11—28no—
896C2×Dic11—28no—
897C2×Dic11—22no—
898C2×Dic11—22no—
899C2×Dic11—22no—
900C2×Dic11—22no—
901C2×Dic11—28no—
902C2×Dic11—22no—
903C2×Dic11—22no—
904C2×Dic11—22no—
905C2×Dic11—22no—
906C2×Dic11—44no—
907C2×Dic11—44no—
908C2×Dic11—44no—
909C2×Dic11C2512yes—
910C2×Dic11C2512yes—
911C2×Dic11C2512yes—
912C2×Dic11C2512yes—
913C2×Dic11C2512yes—
914C2×Dic11C2512yes—
915C2×Dic11C2512yes—
916C2×Dic11C2512yes—
917C2×Dic11C2512yes—
918C2×Dic11C2512yes—
919C2×Dic11C2512yes—
920C2×Dic11C2512yes—
921D44—28no—
922D44—44no—
923D44—44no—
924D44—44no—
925C4×D11—28no—
926C4×D11—44no—
927C4×D11—44no—
928C4×D11—44no—
929C4×D11—44no—
930C4×D11—44no—
931C4×D11—44no—
932C4×D11—44no—
933C4×D11—44no—
934C4×D11—44no—
935C4×D11—44no—
936C4×D11—44no—
937Dic22—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#551—1116no—
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#539C2×D11116yescomplemented
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×#125C2×D1111yescharacteristic, complemented
1006C2×#125C2×D1111yescharacteristic, complemented
1007C2×#124—111no—
1008C2×#124—111no—
1009C2×#124—111no—
1010C2×#124—111no—
1011C2×#124—111no—
1012C2×#124—111no—
1013C2×#124—111no—
1014C2×#124—111no—
1015#525—1116no—
1016C2×#123—111no—
1017C2×#123—111no—
1018C2×#123—111no—
1019C2×#123—111no—
1020C2×#123—111no—
1021C2×#123—111no—
1022C2×#123—1116no—
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—111no—
1038C2×#123—111no—
1039C2×#123—111no—
1040C2×#123—111no—
1041C2×#123C2×D1111yescharacteristic
1042C2×#123C2×D1111yescharacteristic, complemented
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—1116no—
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⋊Q8C2×D1111yescharacteristic, complemented
1078C2×C22⋊Q8C2×D1111yescharacteristic, complemented
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×#121C2×D1111yescharacteristic
1090C2×#120—111no—
1091C2×#120—111no—
1092C2×#120—111no—
1093C2×#120—111no—
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×#117—111no—
1116C2×#117—111no—
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⋊C4C2×D1111yescharacteristic, complemented
1124C22×C22⋊C4—111no—
1125C22×C22⋊C4—111no—
1126C22×C22⋊C4—111no—
1127C22×C22⋊C4—111no—
1128C22×C22⋊C4—111no—
1129C22×C22⋊C4—111no—
1130C22×C22⋊C4—111no—
1131C22×C11—22no—
1132C22×C11—22no—
1133C22×C11—28no—
1134C22×C11—22no—
1135C22×C11—22no—
1136C22×C11—22no—
1137C22×C11—22no—
1138C22×C11—22no—
1139C22×C11—22no—
1140C22×C11—44no—
1141C22×C11—44no—
1142C22×C11C2×H(5,𝔽2)14yes—
1143C22×C11C2×H(5,𝔽2)12yes—
1144C22×C11C2×2−1+412yes—
1145C22×C11#58512yes—
1146C22×C11C2611yescharacteristic
1147C2×D11—22no—
1148C2×D11—22no—
1149C2×D11—28no—
1150C2×D11—22no—
1151C2×D11—22no—
1152C2×D11—22no—
1153C2×D11—22no—
1154C2×D11—22no—
1155C2×D11—22no—
1156C2×D11—22no—
1157C2×D11—22no—
1158C2×D11—22no—
1159C2×D11—416no—
1160C2×D11—44no—
1161C2×D11—44no—
1162C2×D11—44no—
1163C2×D11—88no—
1164C2×D11C2×2−1+414yes—
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—
1176C4×C11—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—
1190C25—111no—
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—118no—
1217C22×D4—111no—
1218C22×D4—111no—
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—111no—
1237C23×C4—111no—
1238C23×C4—111no—
1239C23×C4—111no—
1240C23×C4—111no—
1241C23×C4—111no—
1242C23×C4—111no—
1243C23×C4—118no—
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#125C22×D1118yescomplemented
1277#125C22×D1118yescomplemented
1278#124—118no—
1279#124—118no—
1280#124—118no—
1281#124—118no—
1282#124—118no—
1283#124—118no—
1284#124—118no—
1285#124—118no—
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#123C22×D1118yes—
1311#123C22×D1118yescomplemented
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⋊Q8C22×D1118yescomplemented
1346C22⋊Q8C22×D1118yescomplemented
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#121C22×D1118yes—
1358#120—118no—
1359#120—118no—
1360#120—118no—
1361#120—118no—
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#117—118no—
1384#117—118no—
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—118no—
1400C2×C4⋊C4—118no—
1401C2×C4⋊C4—111no—
1402C2×C4⋊C4—111no—
1403C2×C4⋊C4—111no—
1404C2×C4⋊C4—118no—
1405C2×C4⋊C4—111no—
1406C2×C4⋊C4—111no—
1407C2×C4⋊C4—111no—
1408C2×C4⋊C4—111no—
1409C2×C4⋊C4—111no—
1410C2×C4⋊C4—111no—
1411C2×C4⋊C4—111no—
1412C2×C4⋊C4—111no—
1413C2×C4⋊C4—111no—
1414C2×C4⋊C4—111no—
1415C2×C4⋊C4—111no—
1416C2×C4⋊C4—111no—
1417C2×C4⋊C4—111no—
1418C2×C4⋊C4—111no—
1419C2×C4⋊C4—111no—
1420C2×C4⋊C4—111no—
1421C2×C4⋊C4—111no—
1422C2×C4⋊C4—111no—
1423C2×C4⋊C4—111no—
1424C2×C4⋊C4—118no—
1425C2×C4⋊C4—118no—
1426C2×C4⋊C4—118no—
1427C2×C4⋊C4C22×D1111yescharacteristic
1428C2×C4⋊C4C22×D1111yescharacteristic
1429C2×C4⋊C4C22×D1111yescharacteristic
1430C2×C4⋊C4C22×D1111yescharacteristic
1431C2×C4⋊C4C22×D1111yescharacteristic
1432C2×C4⋊C4C22×D1111yescharacteristic
1433C2×C4⋊C4C22×D1111yescharacteristic
1434C2×C4⋊C4C22×D1111yescharacteristic
1435C2×C4⋊C4C22×D1111yescharacteristic
1436C2×C4⋊C4C22×D1111yescharacteristic
1437C2×C4⋊C4C22×D1111yescharacteristic
1438C2×C4⋊C4C22×D1111yescharacteristic
1439C2×C4⋊C4C22×D1111yescharacteristic
1440C2×C4⋊C4C22×D1111yescharacteristic
1441C2×C4⋊C4C22×D1118yescomplemented
1442C2×C22⋊C4—111no—
1443C2×C22⋊C4—111no—
1444C2×C22⋊C4—111no—
1445C2×C22⋊C4—111no—
1446C2×C22⋊C4—111no—
1447C2×C22⋊C4—111no—
1448C2×C22⋊C4—111no—
1449C2×C22⋊C4—111no—
1450C2×C22⋊C4—111no—
1451C2×C22⋊C4—111no—
1452C2×C22⋊C4—111no—
1453C2×C22⋊C4—111no—
1454C2×C22⋊C4—111no—
1455C2×C22⋊C4—111no—
1456C2×C22⋊C4—111no—
1457C2×C22⋊C4—111no—
1458C2×C22⋊C4—111no—
1459C2×C22⋊C4—111no—
1460C2×C22⋊C4—111no—
1461C2×C22⋊C4—111no—
1462C2×C22⋊C4—111no—
1463C2×C22⋊C4—111no—
1464C2×C22⋊C4—111no—
1465C2×C22⋊C4—118no—
1466C2×C22⋊C4—118no—
1467C2×C22⋊C4—111no—
1468C2×C22⋊C4—111no—
1469C2×C22⋊C4—111no—
1470C2×C22⋊C4—118no—
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—118no—
1482C2×C22⋊C4—118no—
1483C2×C22⋊C4—118no—
1484C2×C22⋊C4—118no—
1485C2×C22⋊C4C22×D1111yescharacteristic
1486C2×C22⋊C4C22×D1111yescharacteristic
1487C2×C22⋊C4C22×D1111yescharacteristic
1488C2×C22⋊C4C22×D1111yescharacteristic
1489C2×C22⋊C4C22×D1111yescharacteristic
1490C2×C22⋊C4C22×D1111yescharacteristic
1491C2×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×C42—111no—
1503C2×C42C22×D1111yescharacteristic
1504C2×C42C22×D1111yescharacteristic
1505C2×C11—24no—
1506C2×C11—42no—
1507C2×C11—42no—
1508C2×C11#353514yescomplemented
1509C2×C11C22×H(5,𝔽2)11yescharacteristic
1510C2×C11C22×2−1+411yescharacteristic
1511C2×C11C2×#58511yescharacteristic
1512D11—24no—
1513D11—42no—
1514D11—42no—
1515D11—42no—
1516C24—111no—
1517C24—111no—
1518C24—111no—
1519C24—111no—
1520C24—114no—
1521C24—114no—
1522C24—224no—
1523C24—224no—
1524C24—224no—
1525C24—442no—
1526C24—442no—
1527C24—442no—
1528C24C23×D1111yescharacteristic
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—42no—
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—114no—
1605C22×C4—114no—
1606C22×C4—114no—
1607C22×C4—114no—
1608C22×C4—114no—
1609C22×C4—114no—
1610C22×C4—114no—
1611C22×C4—114no—
1612C22×C4—114no—
1613C22×C4—114no—
1614C22×C4—114no—
1615C22×C4—114no—
1616C22×C4—114no—
1617C22×C4—114no—
1618C22×C4—114no—
1619C22×C4—224no—
1620C22×C4—224no—
1621C22×C4—224no—
1622C22×C4—224no—
1623C22×C4—442no—
1624C22×C4—442no—
1625C22×C4—442no—
1626C22×C4—442no—
1627C22×C4—4416no—
1628C22×C4—442no—
1629C22×C4—442no—
1630C22×C4—442no—
1631C22×C4—442no—
1632C22×C4—442no—
1633C22×C4—442no—
1634C22×C4—442no—
1635C22×C4—442no—
1636C22×C4—442no—
1637C22×C4—442no—
1638C22×C4C23×D1114yes—
1639C22×C4C23×D1111yescharacteristic
1640C22×C4C23×D1111yescharacteristic
1641C22×C4C23×D1111yescharacteristic
1642C22×C4C23×D1111yescharacteristic
1643C22×C4C23×D1111yescharacteristic
1644C22×C4C23×D1111yescharacteristic
1645C22×C4C23×D1111yescharacteristic
1646C22×C4C23×D1111yescharacteristic
1647C22×C4C23×D1111yescharacteristic
1648C22×C4C23×D1111yescharacteristic
1649C22×C4C23×D1111yescharacteristic
1650C22×C4C23×D1111yescharacteristic
1651C22×C4C23×D1114yes—
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⋊C4C23×D1114yes—
1692C4⋊C4C23×D1114yes—
1693C4⋊C4C23×D1114yes—
1694C4⋊C4C23×D1114yes—
1695C4⋊C4C23×D1114yes—
1696C4⋊C4C23×D1114yes—
1697C4⋊C4C23×D1114yes—
1698C4⋊C4C23×D1114yes—
1699C4⋊C4C23×D1114yes—
1700C4⋊C4C23×D1114yes—
1701C4⋊C4C23×D1114yes—
1702C4⋊C4C23×D1114yes—
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⋊C4—114no—
1738C22⋊C4—114no—
1739C22⋊C4—114no—
1740C22⋊C4—114no—
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—
1758C42—114no—
1759C42C23×D1114yes—
1760C42C23×D1114yes—
1761C11C2×#353511yescharacteristic, complemented, Sylow
1762C23—22no—
1763C23—22no—
1764C23—22no—
1765C23—22no—
1766C23—22no—
1767C23—22no—
1768C23—22no—
1769C23—22no—
1770C23—114no—
1771C23—112no—
1772C23—112no—
1773C23—112no—
1774C23—112no—
1775C23—228no—
1776C23—228no—
1777C23—222no—
1778C23—222no—
1779C23—222no—
1780C23—228no—
1781C23—222no—
1782C23—222no—
1783C23—222no—
1784C23—222no—
1785C23—222no—
1786C23—222no—
1787C23—222no—
1788C23—222no—
1789C23—444no—
1790C23—444no—
1791C23—444no—
1792C23—4416no—
1793C23—888no—
1794C23#6704214yes—
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—28no—
1824C2×C4—22no—
1825C2×C4—22no—
1826C2×C4—22no—
1827C2×C4—22no—
1828C2×C4—22no—
1829C2×C4—22no—
1830C2×C4—22no—
1831C2×C4—22no—
1832C2×C4—22no—
1833C2×C4—22no—
1834C2×C4—22no—
1835C2×C4—22no—
1836C2×C4—44no—
1837C2×C4—44no—
1838C2×C4—44no—
1839C2×C4—44no—
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—228no—
1853C2×C4—222no—
1854C2×C4—222no—
1855C2×C4—222no—
1856C2×C4—222no—
1857C2×C4—228no—
1858C2×C4—222no—
1859C2×C4—222no—
1860C2×C4—228no—
1861C2×C4—228no—
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×C4C24×D1112yes—
1883C2×C4C24×D1112yes—
1884C2×C4C24×D1112yes—
1885C2×C4C24×D1112yes—
1886C2×C4C24×D1112yes—
1887C2×C4C24×D1112yes—
1888C2×C4C24×D1112yes—
1889C2×C4C24×D1112yes—
1890C2×C4C24×D1112yes—
1891C2×C4C24×D1112yes—
1892C2×C4C24×D1112yes—
1893C2×C4C24×D1112yes—
1894C22—22no—
1895C22—22no—
1896C22—28no—
1897C22—22no—
1898C22—22no—
1899C22—22no—
1900C22—22no—
1901C22—22no—
1902C22—22no—
1903C22—44no—
1904C22—44no—
1905C22—114no—
1906C22—222no—
1907C22—222no—
1908C22—228no—
1909C22—222no—
1910C22—222no—
1911C22—222no—
1912C22—222no—
1913C22—222no—
1914C22—222no—
1915C22—222no—
1916C22—222no—
1917C22—222no—
1918C22—4416no—
1919C22—444no—
1920C22—444no—
1921C22—444no—
1922C22—888no—
1923C22C2×#6704214yes—
1924C22C2×#6704212yes—
1925C22#1062345512yes—
1926C22D11×2−1+412yes—
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—22no—
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—42no—
1954C2—42no—
1955C2—224no—
1956C2—442no—
1957C2—442no—
1958C2—442no—
1959C2#1308282314yesdirect product factor
1960C2C22×#6704211yescharacteristic
1961C2C2×D11×2−1+411yescharacteristic
1962C2C2×#1062345511yescharacteristic
subgroupG/H
centerC23C24×D11
commutator, cosocleC22×C11C26
FrattiniC22C25×D11
FittingC2×C11×#539C2
socleC23×C11C25
hypercenterC2×#539D11
hypocenterC11C2×#3535
LCSG ▷ C22×C11 ▷ C11
UCSC1 ◁ C23 ◁ C2×#539

Complements

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

NH ≅ G/Ntype
1. #13082823C2direct (N × H)
2. C2×#10623230C2semidirect
3. C2×#10623243C2semidirect
4. C2×#10623198C2semidirect
5. C2×#10623178C2semidirect
6. C2×#10623166C2semidirect
7. C2×#10623221C2semidirect
8. C2×#10623173C2semidirect
9. C2×#10623072C2semidirect
10. C2×#10623087C2semidirect
11. C2×#10623168C2semidirect
12. C2×#10623236C2semidirect
13. C2×#10623189C2semidirect
14. C2×#10623086C2semidirect
15. C2×#10623142C2semidirect
16. C2×#10623085C2semidirect
17. C2×#10623141C2semidirect
18. C2×#10623220C2semidirect
19. C2×#10623165C2semidirect
20. C2×#10623174C2semidirect
21. C2×#10623241C2semidirect
22. C2×#10623223C2semidirect
23. C2×#10623046C2semidirect
24. C2×#10623196C2semidirect
25. C2×#10623238C2semidirect
26. C2×#10623188C2semidirect
27. C2×#10623179C2semidirect
28. C2×#10623179C2semidirect
29. C2×#10623187C2semidirect
30. C2×D11×#123C2semidirect
31. C22×#66950C2semidirect
32. C2×C11×#539C2semidirect
35. C22×#4341C22semidirect
38. C23×Dic22C22semidirect
39. C11×#539C22semidirect
40. C2×C11×#126C22semidirect
41. C2×C11×#126C22semidirect
42. C2×C11×#125C22semidirect
43. C2×C11×#125C22semidirect
45. C2×C11×#123C22semidirect
46. C2×C11×#123C22semidirect
47. C2×C11×#123C22semidirect
48. C2×C11×C22⋊Q8C22semidirect
49. C2×C11×C22⋊Q8C22semidirect
50. C2×C11×C22⋊Q8C22semidirect
53. C2×C4×D4×C11C22semidirect
54. C22×C11×C4⋊C4C22semidirect
55. C2×#67000C22semidirect
57. C2×#66999C22semidirect
58. C2×Q8×Dic11C22semidirect
60. C2×#66991C22semidirect
65. C2×#66988C22semidirect
66. C2×D4×Dic11C22semidirect
69. C2×#66983C22semidirect
71. C2×#66982C22semidirect
72. C2×#66982C22semidirect
75. C2×C4×C22⋊D11C22semidirect
79. C2×#66979C22semidirect
80. C22×C4⋊Dic11C22semidirect
81. C22×C4⋊Dic11C22semidirect
82. C22×C4⋊Dic11C22semidirect
83. C2×#66977C22semidirect
84. C2×#66977C22semidirect
85. #10623243C22semidirect
86. #10623241C22semidirect
87. #10623238C22semidirect
88. #10623236C22semidirect
89. #10623230C22semidirect
90. #10623223C22semidirect
91. #10623221C22semidirect
92. #10623220C22semidirect
93. #10623198C22semidirect
94. #10623196C22semidirect
95. #10623189C22semidirect
96. #10623188C22semidirect
97. #10623187C22semidirect
98. D11×#123C22semidirect
99. #10623179C22semidirect
100. #10623179C22semidirect
101. #10623178C22semidirect
102. #10623174C22semidirect
103. #10623173C22semidirect
104. #10623168C22semidirect
105. #10623166C22semidirect
106. #10623165C22semidirect
107. #10623142C22semidirect
108. #10623141C22semidirect
109. #10623087C22semidirect
110. #10623086C22semidirect
111. #10623085C22semidirect
112. #10623072C22semidirect
113. #10623046C22semidirect
114. C2×#66951C22semidirect
115. C2×#66951C22semidirect
116. C2×#66951C22semidirect
117. C2×#66951C22semidirect
118. C2×#66951C22semidirect
119. C2×#66951C22semidirect
120. C2×#66951C22semidirect
126. C2×#66950C22semidirect
127. C2×#66950C22semidirect
128. C2×#66950C22semidirect
129. C2×#66950C22semidirect
130. C2×#66950C22semidirect
131. C2×#66950C22semidirect
132. C2×#66950C22semidirect
136. C2×#66949C22semidirect
137. C2×#66949C22semidirect
138. C2×#66949C22semidirect
139. C2×#66949C22semidirect
140. C2×#66949C22semidirect
141. C2×#66949C22semidirect
142. C2×#66949C22semidirect
148. C2×#66947C22semidirect
149. C2×#66947C22semidirect
150. C2×#66947C22semidirect
153. C2×#66946C22semidirect
155. C2×#66945C22semidirect
158. C2×C4⋊C4×D11C22semidirect
159. C2×#66943C22semidirect
160. C2×#66943C22semidirect
161. C2×#66943C22semidirect
162. C2×#66942C22semidirect
163. C2×#66942C22semidirect
164. C2×#66942C22semidirect
165. C2×#66942C22semidirect
166. C2×#66941C22semidirect
167. C2×#66941C22semidirect
168. C2×#66941C22semidirect
169. C2×#66941C22semidirect
170. C2×#66941C22semidirect
174. C2×#66939C22semidirect
175. C2×#66939C22semidirect
176. C2×#66939C22semidirect
178. C2×#66938C22semidirect
179. C2×#66938C22semidirect
180. C2×#66938C22semidirect
181. C2×#66938C22semidirect
182. C2×#66938C22semidirect
185. C2×#66937C22semidirect
189. C2×#66936C22semidirect
190. C2×#66936C22semidirect
195. C2×(C22⋊D11)⋊C4C22semidirect
200. C2×#66932C22semidirect
201. C2×#66932C22semidirect
202. C2×#66931C22semidirect
203. C2×#66931C22semidirect
204. C2×#66931C22semidirect
205. C2×#66931C22semidirect
206. C2×#66931C22semidirect
207. C2×#66931C22semidirect
208. C2×#66930C22semidirect
209. C2×#66930C22semidirect
210. C2×#66930C22semidirect
211. C2×#66929C22semidirect
214. C2×C4×D44C22semidirect
216. C2×#66923C22semidirect
217. C2×#66922C22semidirect
218. C2×C4×Dic22C22semidirect
249. C2×#4341C23semidirect
279. C22×Dic22C23semidirect
280. C11×#126C23semidirect
281. C11×#126C23semidirect
282. C11×#125C23semidirect
283. C11×#125C23semidirect
285. C11×#123C23semidirect
286. C11×#123C23semidirect
287. C11×#123C23semidirect
288. C11×C22⋊Q8C23semidirect
289. C11×C22⋊Q8C23semidirect
290. C11×C22⋊Q8C23semidirect
293. C4×D4×C11C23semidirect
308. C2×C11×C4⋊C4C23semidirect
329. #67000C23semidirect
331. #66999C23semidirect
332. Q8×Dic11C23semidirect
334. #66991C23semidirect
339. #66988C23semidirect
340. D4×Dic11C23semidirect
343. #66983C23semidirect
345. #66982C23semidirect
346. #66982C23semidirect
349. C4×C22⋊D11C23semidirect
381. #66979C23semidirect
398. C2×C4⋊Dic11C23semidirect
399. C2×C4⋊Dic11C23semidirect
400. C2×C4⋊Dic11C23semidirect
401. #66977C23semidirect
402. #66977C23semidirect
431. #66951C23semidirect
432. #66951C23semidirect
433. #66951C23semidirect
434. #66951C23semidirect
435. #66951C23semidirect
436. #66951C23semidirect
437. #66951C23semidirect
443. #66950C23semidirect
444. #66950C23semidirect
445. #66950C23semidirect
446. #66950C23semidirect
447. #66950C23semidirect
448. #66950C23semidirect
452. #66949C23semidirect
453. #66949C23semidirect
454. #66949C23semidirect
455. #66949C23semidirect
456. #66949C23semidirect
457. #66949C23semidirect
458. #66949C23semidirect
464. #66947C23semidirect
465. #66947C23semidirect
466. #66947C23semidirect
469. #66946C23semidirect
471. #66945C23semidirect
474. C4⋊C4×D11C23semidirect
475. #66943C23semidirect
476. #66943C23semidirect
477. #66943C23semidirect
478. #66942C23semidirect
479. #66942C23semidirect
480. #66942C23semidirect
481. #66942C23semidirect
482. #66941C23semidirect
483. #66941C23semidirect
484. #66941C23semidirect
485. #66941C23semidirect
486. #66941C23semidirect
490. #66939C23semidirect
491. #66939C23semidirect
492. #66939C23semidirect
494. #66938C23semidirect
495. #66938C23semidirect
496. #66938C23semidirect
497. #66938C23semidirect
498. #66938C23semidirect
501. #66937C23semidirect
505. #66936C23semidirect
506. #66936C23semidirect
511. (C22⋊D11)⋊C4C23semidirect
516. #66932C23semidirect
517. #66932C23semidirect
518. #66931C23semidirect
519. #66931C23semidirect
520. #66931C23semidirect
521. #66931C23semidirect
522. #66931C23semidirect
523. #66931C23semidirect
524. #66930C23semidirect
525. #66930C23semidirect
526. #66930C23semidirect
527. #66929C23semidirect
530. C4×D44C23semidirect
532. #66923C23semidirect
533. #66922C23semidirect
534. C4×Dic22C23semidirect
806. C2×#539D11semidirect
975. #539C2×D11semidirect
995. C2×#126C2×D11semidirect
996. C2×#126C2×D11semidirect
1005. C2×#125C2×D11semidirect
1006. C2×#125C2×D11semidirect
1042. C2×#123C2×D11semidirect
1043. C2×#123C2×D11semidirect
1044. C2×#123C2×D11semidirect
1077. C2×C22⋊Q8C2×D11semidirect
1078. C2×C22⋊Q8C2×D11semidirect
1079. C2×C22⋊Q8C2×D11semidirect
1109. C2×C4×D4C2×D11semidirect
1123. C22×C4⋊C4C2×D11semidirect
1266. #126C22×D11semidirect
1267. #126C22×D11semidirect
1276. #125C22×D11semidirect
1277. #125C22×D11semidirect
1311. #123C22×D11semidirect
1312. #123C22×D11semidirect
1313. #123C22×D11semidirect
1345. C22⋊Q8C22×D11semidirect
1346. C22⋊Q8C22×D11semidirect
1347. C22⋊Q8C22×D11semidirect
1377. C4×D4C22×D11semidirect
1441. C2×C4⋊C4C22×D11semidirect
1508. C2×C11#3535semidirect
1761. C11C2×#3535semidirect
1959. C2#13082823direct (N × H)

Maximal subgroups

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

subgroupindex
#130828232
C2×#106232302
C2×#106232432
C2×#106231982
C2×#106231782
C2×#106231662
C2×#106232212
C2×#106231732
C2×#106230722
C2×#106230872
C2×#106231682
C2×#106232362
C2×#106231892
C2×#106230862
C2×#106231422
C2×#106230852
C2×#106231412
C2×#106232202
C2×#106231652
C2×#106231742
C2×#106232412
C2×#106232232
C2×#106230462
C2×#106231962
C2×#106232382
C2×#106231882
C2×#106231792
C2×#106231872
C2×D11×#1232
C22×#669502
C2×C11×#5392
C2×#353511