Finite Group Databasebeta

← C2×#13082820 #15660978

Subgroups — C2×#13082820 #15660978

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#13082820C2132yesmaximal, direct product factor
2C2×#10623230C211yesmaximal, characteristic, complemented
3C2×#10623266C211yesmaximal, characteristic, complemented
4C2×#10623178C211yesmaximal, characteristic, complemented
5C2×#10623178C211yesmaximal, characteristic, complemented
6C2×#10623042C211yesmaximal, characteristic, complemented
7C2×#10623112C211yesmaximal, characteristic, complemented
8C2×#10623224C211yesmaximal, characteristic, complemented
9C2×#10623087C211yesmaximal, characteristic, complemented
10C2×#10623087C211yesmaximal, characteristic, complemented
11C2×#10623168C211yesmaximal, characteristic, complemented
12C2×#10623168C211yesmaximal, characteristic, complemented
13C2×#10623162C211yesmaximal, characteristic, complemented
14C2×#10623038C211yesmaximal, characteristic, complemented
15C2×#10623081C211yesmaximal, characteristic, complemented
16C2×#10623161C211yesmaximal, characteristic, complemented
17C2×#10623154C211yesmaximal, characteristic, complemented
18C2×#10623165C211yesmaximal, characteristic, complemented
19C2×#10623113C211yesmaximal, characteristic, complemented
20C2×#10623171C211yesmaximal, characteristic, complemented
21C2×#10623223C211yesmaximal, characteristic, complemented
22C2×#10623223C211yesmaximal, characteristic, complemented
23C2×#10623046C211yesmaximal, characteristic, complemented
24C2×#10623169C211yesmaximal, characteristic, complemented
25C2×#10623095C211yesmaximal, characteristic, complemented
26C2×#10623091C211yesmaximal, characteristic, complemented
27C2×#10623255C211yesmaximal, characteristic, complemented
28C2×#10623159C211yesmaximal, characteristic, complemented
29C2×#10623078C211yesmaximal, characteristic, complemented
30C22×#66947C211yesmaximal, characteristic, complemented
31C2×D11×C22⋊Q8C211yesmaximal, characteristic, complemented
32C2×C11×#554C211yesmaximal, characteristic, complemented
33C22×#4343C2211yescharacteristic
34C22×Q8×D11C2211yescharacteristic, complemented
35C22×#4339C2211yescharacteristic
36C22×#4339C2211yescharacteristic, complemented
37C23×D44C2211yescharacteristic
38C23×C4×D11C2211yescharacteristic
39C11×#554C22116yescomplemented
40C2×C11×C4⋊Q8C2211yescharacteristic, complemented
41C2×C11×#125C2211yescharacteristic, complemented
42C2×C11×#125C2211yescharacteristic, complemented
43C2×C11×C22⋊Q8C2211yescharacteristic
44C2×C11×C22⋊Q8C2211yescharacteristic
45C2×C11×C22⋊Q8C2211yescharacteristic
46C2×C11×C22⋊Q8C2211yescharacteristic, complemented
47C2×C11×C22⋊Q8C2211yescharacteristic, complemented
48C2×C11×C22⋊Q8C2211yescharacteristic, complemented
49C2×C4×Q8×C11C2211yescharacteristic, complemented
50C2×C4×D4×C11C2211yescharacteristic
51C2×C4×D4×C11C2211yescharacteristic
52C2×C4×D4×C11C2211yescharacteristic
53C22×C11×C4⋊C4C2211yescharacteristic
54C22×C11×C4⋊C4C2211yescharacteristic, 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×#66997C2211yescharacteristic, complemented
64C2×#66997C2211yescharacteristic, complemented
65C2×#66992C2211yescharacteristic
66C2×#66990C2211yescharacteristic
67C2×#66990C2211yescharacteristic
68C2×#66988C2211yescharacteristic
69C2×#66983C2211yescharacteristic
70C2×#66983C2211yescharacteristic, complemented
71C2×#66982C2211yescharacteristic, complemented
72C2×#66982C2211yescharacteristic, complemented
73C2×#66982C2211yescharacteristic, complemented
74C2×#66982C2211yescharacteristic, complemented
75C2×C4×C22⋊D11C2211yescharacteristic
76C2×C4×C22⋊D11C2211yescharacteristic
77C2×C4×C22⋊D11C2211yescharacteristic
78C2×C4×C22⋊D11C2211yescharacteristic, complemented
79C2×C4×C22⋊D11C2211yescharacteristic, complemented
80C2×C4×C22⋊D11C2211yescharacteristic, complemented
81C22×(C2×D11)⋊C4C2211yescharacteristic
82C22×(C2×D11)⋊C4C2211yescharacteristic
83C22×(C2×D11)⋊C4C2211yescharacteristic
84C2×#66977C2211yescharacteristic
85C2×#66977C2211yescharacteristic
86C2×#66977C2211yescharacteristic
87C2×#66977C2211yescharacteristic, complemented
88C22×Dic11⋊C4C2211yescharacteristic
89#10623266C22116yescomplemented
90#10623255C22116yescomplemented
91#10623230C22116yescomplemented
92#10623224C22116yescomplemented
93#10623223C22116yescomplemented
94#10623223C22116yescomplemented
95#10623178C22116yescomplemented
96#10623178C22116yescomplemented
97#10623171C22116yescomplemented
98#10623169C22116yescomplemented
99#10623168C22116yescomplemented
100#10623168C22116yescomplemented
101#10623165C22116yescomplemented
102#10623162C22116yescomplemented
103#10623161C22116yescomplemented
104#10623159C22116yescomplemented
105D11×C22⋊Q8C22116yescomplemented
106#10623154C22116yescomplemented
107#10623113C22116yescomplemented
108#10623112C22116yescomplemented
109#10623095C22116yescomplemented
110#10623091C22116yescomplemented
111#10623087C22116yescomplemented
112#10623087C22116yescomplemented
113#10623081C22116yescomplemented
114#10623078C22116yescomplemented
115#10623046C22116yescomplemented
116C2×#66951C2211yescharacteristic, complemented
117C2×#66951C2211yescharacteristic, complemented
118C2×#66951C2211yescharacteristic, complemented
119C2×#66951C2211yescharacteristic, complemented
120C2×#66951C2211yescharacteristic, complemented
121C2×#66951C2211yescharacteristic, complemented
122C2×#66951C2211yescharacteristic, complemented
123#10623042C22116yescomplemented
124C2×#66950C2211yescharacteristic, complemented
125C2×#66950C2211yescharacteristic, complemented
126C2×#66950C2211yescharacteristic, complemented
127C2×#66950C2211yescharacteristic, complemented
128C2×#66949C2211yescharacteristic, complemented
129C2×#66949C2211yescharacteristic, complemented
130C2×#66949C2211yescharacteristic, complemented
131C2×#66949C2211yescharacteristic, complemented
132C2×#66949C2211yescharacteristic, complemented
133C2×#66949C2211yescharacteristic, complemented
134C2×#66949C2211yescharacteristic, complemented
135C2×#66949C2211yescharacteristic, complemented
136C2×#66949C2211yescharacteristic, complemented
137C2×#66949C2211yescharacteristic, complemented
138C2×#66949C2211yescharacteristic, complemented
139C2×#66949C2211yescharacteristic, complemented
140#10623038C22116yescomplemented
141C2×#66948C2211yescharacteristic
142C2×#66948C2211yescharacteristic
143C2×#66948C2211yescharacteristic
144C2×#66947C2211yescharacteristic
145C2×#66947C2211yescharacteristic
146C2×#66947C2211yescharacteristic
147C2×#66947C2211yescharacteristic
148C2×#66947C2211yescharacteristic
149C2×#66947C2211yescharacteristic
150C2×#66947C2211yescharacteristic
151C2×#66947C2211yescharacteristic
152C2×#66947C2211yescharacteristic
153C2×#66947C2211yescharacteristic
154C2×#66947C2211yescharacteristic
155C2×#66947C2211yescharacteristic
156C2×#66947C22116yescomplemented
157C2×#66947C2211yescharacteristic, complemented
158C2×#66947C2211yescharacteristic, complemented
159C2×#66947C2211yescharacteristic, complemented
160C2×#66947C2211yescharacteristic, complemented
161C2×#66947C2211yescharacteristic, complemented
162C2×#66947C2211yescharacteristic, complemented
163C2×#66946C2211yescharacteristic
164C2×#66946C2211yescharacteristic, complemented
165C2×#66946C2211yescharacteristic, complemented
166C2×#66945C2211yescharacteristic, complemented
167C2×#66945C2211yescharacteristic, complemented
168C2×C4⋊C4×D11C2211yescharacteristic, complemented
169C2×C4⋊C4×D11C2211yescharacteristic, complemented
170C2×C4⋊C4×D11C2211yescharacteristic, complemented
171C2×C4⋊C4×D11C2211yescharacteristic, complemented
172C2×#66942C2211yescharacteristic, complemented
173C2×#66942C2211yescharacteristic, complemented
174C2×#66942C2211yescharacteristic, complemented
175C2×#66942C2211yescharacteristic, complemented
176C2×#66942C2211yescharacteristic, complemented
177C2×#66942C2211yescharacteristic, complemented
178C2×#66942C2211yescharacteristic, complemented
179C2×#66941C2211yescharacteristic, complemented
180C2×#66941C2211yescharacteristic, complemented
181C2×#66941C2211yescharacteristic, complemented
182C2×#66940C2211yescharacteristic, complemented
183C2×#66939C2211yescharacteristic
184C2×#66938C2211yescharacteristic, complemented
185C2×#66938C2211yescharacteristic, complemented
186C2×#66938C2211yescharacteristic, complemented
187C2×#66937C2211yescharacteristic
188C2×#66937C2211yescharacteristic
189C2×#66937C2211yescharacteristic, complemented
190C2×#66937C2211yescharacteristic, complemented
191C2×#66936C2211yescharacteristic, complemented
192C2×#66936C2211yescharacteristic, complemented
193C2×#66936C2211yescharacteristic, complemented
194C2×#66936C2211yescharacteristic, complemented
195C2×#66935C2211yescharacteristic
196C2×#66935C2211yescharacteristic
197C2×C22⋊C4×D11C2211yescharacteristic
198C2×C22⋊C4×D11C2211yescharacteristic
199C2×C22⋊C4×D11C2211yescharacteristic
200C2×C22⋊C4×D11C2211yescharacteristic
201C2×#66932C2211yescharacteristic, complemented
202C2×#66931C2211yescharacteristic
203C2×#66931C2211yescharacteristic
204C2×#66931C2211yescharacteristic
205C2×#66930C2211yescharacteristic
206C2×#66930C2211yescharacteristic
207C2×#66929C2211yescharacteristic, complemented
208C2×#66929C2211yescharacteristic, complemented
209C2×#66929C2211yescharacteristic, complemented
210C2×#66929C2211yescharacteristic, complemented
211C2×#66928C2211yescharacteristic
212C2×#66928C2211yescharacteristic, complemented
213C2×C4×D44C2211yescharacteristic
214C2×C4×D44C2211yescharacteristic, complemented
215C2×#66925C2211yescharacteristic, complemented
216C2×#66925C2211yescharacteristic, complemented
217C2×#66925C2211yescharacteristic, complemented
218C2×#66923C2211yescharacteristic, complemented
219C24×D11C2311yescharacteristic
220C24×D11C2311yescharacteristic
221C22×Q8×C11C2311yescharacteristic
222C22×Q8×C11C2311yescharacteristic
223C22×Q8×C11C2311yescharacteristic
224C22×D4×C11C2311yescharacteristic
225C23×C4×C11C2311yescharacteristic
226C23×C4×C11C2311yescharacteristic
227C23×C4×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
237C23×Dic11C2311yescharacteristic
238C23×Dic11C2311yescharacteristic
239C2×#4343—44no—
240C2×#4343C2318yes—
241C2×Q8×D11—44no—
242C2×Q8×D11C2318yescomplemented
243C2×#4339—44no—
244C2×#4339—44no—
245C2×#4339C2318yes—
246C2×#4339C2318yescomplemented
247C22×D44—44no—
248C22×D44C2311yescharacteristic
249C22×D44C2311yescharacteristic
250C22×D44C2311yescharacteristic
251C22×D44C2311yescharacteristic
252C22×D44C2311yescharacteristic
253C22×D44C2311yescharacteristic
254C22×D44C2311yescharacteristic
255C22×D44C2311yescharacteristic
256C22×D44C2318yes—
257C22×C4×D11—44no—
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×D11C2311yescharacteristic
270C22×C4×D11C2311yescharacteristic
271C22×C4×D11C2311yescharacteristic
272C22×C4×D11C2311yescharacteristic
273C22×C4×D11C2318yes—
274C22×Dic22C2311yescharacteristic
275C22×Dic22C2311yescharacteristic
276C22×Dic22C2311yescharacteristic
277C22×Dic22C2311yescharacteristic
278C22×Dic22C2311yescharacteristic
279C22×Dic22C2311yescharacteristic
280C11×C4⋊Q8C2318yescomplemented
281C11×#125C2318yescomplemented
282C11×#125C2318yescomplemented
283C11×C22⋊Q8C2318yes—
284C11×C22⋊Q8C2318yes—
285C11×C22⋊Q8C2318yes—
286C11×C22⋊Q8C2318yescomplemented
287C11×C22⋊Q8C2318yescomplemented
288C11×C22⋊Q8C2318yescomplemented
289C4×Q8×C11C2318yescomplemented
290C4×D4×C11C2318yes—
291C4×D4×C11C2318yes—
292C4×D4×C11C2318yes—
293C2×C11×C4⋊C4C2311yescharacteristic
294C2×C11×C4⋊C4C2311yescharacteristic
295C2×C11×C4⋊C4C2311yescharacteristic
296C2×C11×C4⋊C4C2311yescharacteristic
297C2×C11×C4⋊C4C2311yescharacteristic
298C2×C11×C4⋊C4C2311yescharacteristic
299C2×C11×C4⋊C4C2311yescharacteristic
300C2×C11×C4⋊C4C2311yescharacteristic
301C2×C11×C4⋊C4C2311yescharacteristic
302C2×C11×C4⋊C4C2311yescharacteristic
303C2×C11×C4⋊C4C2311yescharacteristic
304C2×C11×C4⋊C4C2311yescharacteristic
305C2×C11×C4⋊C4C2311yescharacteristic
306C2×C11×C4⋊C4C2318yes—
307C2×C11×C4⋊C4C2311yescharacteristic
308C2×C11×C4⋊C4C2311yescharacteristic
309C2×C11×C4⋊C4C2311yescharacteristic
310C2×C11×C4⋊C4C2318yescomplemented
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×C42×C11C2311yescharacteristic
318C2×C42×C11C2311yescharacteristic
319C2×C42×C11C2311yescharacteristic
320C2×C22⋊Dic11C2311yescharacteristic
321C2×C22⋊Dic11C2311yescharacteristic
322C2×C22⋊Dic11C2311yescharacteristic
323C2×C22⋊Dic11C2311yescharacteristic
324C2×C22⋊Dic11C2311yescharacteristic
325C2×C22⋊Dic11C2311yescharacteristic
326#67000C2318yes—
327#67000C2318yescomplemented
328#67000C2318yescomplemented
329#66999C2318yescomplemented
330#66999C2318yescomplemented
331#66999C2318yescomplemented
332#66999C2318yescomplemented
333#66999C2318yescomplemented
334#66997C2318yescomplemented
335#66997C2318yescomplemented
336#66992C2318yes—
337#66990C2318yes—
338#66990C2318yes—
339#66988C2318yes—
340#66983C2318yes—
341#66983C2318yescomplemented
342#66982C2318yescomplemented
343#66982C2318yescomplemented
344#66982C2318yescomplemented
345#66982C2318yescomplemented
346C4×C22⋊D11C2318yes—
347C4×C22⋊D11C2318yes—
348C4×C22⋊D11C2318yes—
349C4×C22⋊D11C2318yescomplemented
350C4×C22⋊D11C2318yescomplemented
351C4×C22⋊D11C2318yescomplemented
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)⋊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)⋊C4C2318yes—
387C2×(C2×D11)⋊C4C2318yes—
388C2×(C2×D11)⋊C4C2318yes—
389C2×C4⋊Dic11C2311yescharacteristic
390C2×C4⋊Dic11C2311yescharacteristic
391C2×C4⋊Dic11C2311yescharacteristic
392C2×C4⋊Dic11C2311yescharacteristic
393C2×C4⋊Dic11C2311yescharacteristic
394C2×C4⋊Dic11C2311yescharacteristic
395C2×C4⋊Dic11C2311yescharacteristic
396C2×C4⋊Dic11C2311yescharacteristic
397#66977C2318yes—
398#66977C2318yes—
399#66977C2318yes—
400#66977C2318yescomplemented
401C2×Dic11⋊C4C2311yescharacteristic
402C2×Dic11⋊C4C2311yescharacteristic
403C2×Dic11⋊C4C2311yescharacteristic
404C2×Dic11⋊C4C2311yescharacteristic
405C2×Dic11⋊C4C2311yescharacteristic
406C2×Dic11⋊C4C2311yescharacteristic
407C2×Dic11⋊C4C2311yescharacteristic
408C2×Dic11⋊C4C2311yescharacteristic
409C2×Dic11⋊C4C2311yescharacteristic
410C2×Dic11⋊C4C2311yescharacteristic
411C2×Dic11⋊C4C2311yescharacteristic
412C2×Dic11⋊C4C2311yescharacteristic
413C2×Dic11⋊C4C2311yescharacteristic
414C2×Dic11⋊C4C2311yescharacteristic
415C2×Dic11⋊C4C2311yescharacteristic
416C2×Dic11⋊C4C2311yescharacteristic
417C2×Dic11⋊C4C2311yescharacteristic
418C2×Dic11⋊C4C2311yescharacteristic
419C2×Dic11⋊C4C2311yescharacteristic
420C2×Dic11⋊C4C2311yescharacteristic
421C2×Dic11⋊C4C2311yescharacteristic
422C2×Dic11⋊C4C2311yescharacteristic
423C2×Dic11⋊C4C2311yescharacteristic
424C2×Dic11⋊C4C2311yescharacteristic
425C2×Dic11⋊C4C2311yescharacteristic
426C2×Dic11⋊C4C2311yescharacteristic
427C2×Dic11⋊C4C2318yes—
428C2×C4×Dic11C2311yescharacteristic
429C2×C4×Dic11C2311yescharacteristic
430C2×C4×Dic11C2311yescharacteristic
431C2×C4×Dic11C2311yescharacteristic
432C2×C4×Dic11C2311yescharacteristic
433C2×C4×Dic11C2311yescharacteristic
434C2×C4×Dic11C2311yescharacteristic
435#66951C2318yescomplemented
436#66951C2318yescomplemented
437#66951C2318yescomplemented
438#66951C2318yescomplemented
439#66951C2318yescomplemented
440#66951C2318yescomplemented
441#66951C2318yescomplemented
442#66950C2318yescomplemented
443#66950C2318yescomplemented
444#66950C2318yescomplemented
445#66950C2318yescomplemented
446#66949C2318yescomplemented
447#66949C2318yescomplemented
448#66949C2318yescomplemented
449#66949C2318yescomplemented
450#66949C2318yescomplemented
451#66949C2318yescomplemented
452#66949C2318yescomplemented
453#66949C2318yescomplemented
454#66949C2318yescomplemented
455#66949C2318yescomplemented
456#66949C2318yescomplemented
457#66949C2318yescomplemented
458#66948C2318yes—
459#66948C2318yes—
460#66948C2318yes—
461#66947C2318yes—
462#66947C2318yes—
463#66947C2318yes—
464#66947C2318yes—
465#66947C2318yes—
466#66947C2318yes—
467#66947C2318yes—
468#66947C2318yes—
469#66947C2318yes—
470#66947C2318yes—
471#66947C2318yes—
472#66947C2318yes—
473#66947C2318yescomplemented
474#66947C2318yescomplemented
475#66947C2318yescomplemented
476#66947C2318yescomplemented
477#66947C2318yescomplemented
478#66947C2318yescomplemented
479#66946C2318yes—
480#66946C2318yescomplemented
481#66946C2318yescomplemented
482#66945C2318yescomplemented
483#66945C2318yescomplemented
484C4⋊C4×D11C2318yescomplemented
485C4⋊C4×D11C2318yescomplemented
486C4⋊C4×D11C2318yescomplemented
487C4⋊C4×D11C2318yescomplemented
488#66942C2318yescomplemented
489#66942C2318yescomplemented
490#66942C2318yescomplemented
491#66942C2318yescomplemented
492#66942C2318yescomplemented
493#66942C2318yescomplemented
494#66942C2318yescomplemented
495#66941C2318yescomplemented
496#66941C2318yescomplemented
497#66941C2318yescomplemented
498#66940C2318yescomplemented
499#66939C2318yes—
500#66938C2318yescomplemented
501#66938C2318yescomplemented
502#66938C2318yescomplemented
503#66937C2318yes—
504#66937C2318yes—
505#66937C2318yescomplemented
506#66937C2318yescomplemented
507#66936C2318yescomplemented
508#66936C2318yescomplemented
509#66936C2318yescomplemented
510#66936C2318yescomplemented
511#66935C2318yes—
512#66935C2318yes—
513C22⋊C4×D11C2318yes—
514C22⋊C4×D11C2318yes—
515C22⋊C4×D11C2318yes—
516C22⋊C4×D11C2318yes—
517#66932C2318yescomplemented
518#66931C2318yes—
519#66931C2318yes—
520#66931C2318yes—
521#66930C2318yes—
522#66930C2318yes—
523#66929C2318yescomplemented
524#66929C2318yescomplemented
525#66929C2318yescomplemented
526#66929C2318yescomplemented
527#66928C2318yes—
528#66928C2318yescomplemented
529C4×D44C2318yes—
530C4×D44C2318yescomplemented
531#66925C2318yescomplemented
532#66925C2318yescomplemented
533#66925C2318yescomplemented
534#66923C2318yescomplemented
535C2×#3535—111nomaximal, Sylow
536C24×C11C2411yescharacteristic
537C24×C11C2411yescharacteristic
538C23×D11—24no—
539C23×D11—24no—
540C23×D11—24no—
541C23×D11—42no—
542C23×D11—42no—
543C23×D11—42no—
544C23×D11C2411yescharacteristic
545C23×D11C2411yescharacteristic
546C23×D11C2411yescharacteristic
547C23×D11C2411yescharacteristic
548C23×D11C2414yes—
549C23×D11C2411yescharacteristic
550C23×D11C2414yes—
551C2×Q8×C11—42no—
552C2×Q8×C11—42no—
553C2×Q8×C11—42no—
554C2×Q8×C11C2414yes—
555C2×Q8×C11C2414yes—
556C2×Q8×C11C2414yes—
557C2×D4×C11—24no—
558C2×D4×C11C2414yes—
559C22×C4×C11—42no—
560C22×C4×C11—42no—
561C22×C4×C11—42no—
562C22×C4×C11—42no—
563C22×C4×C11—42no—
564C22×C4×C11—42no—
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×C11C2411yescharacteristic
577C22×C4×C11C2411yescharacteristic
578C22×C4×C11C2414yes—
579C22×C4×C11C2414yes—
580C22×C4×C11C2414yes—
581C22×C4×C11C2414yes—
582C22×C4×C11C2414yes—
583C22×C4×C11C2414yes—
584C2×C22⋊D11—24no—
585C2×C22⋊D11—24no—
586C2×C22⋊D11—42no—
587C2×C22⋊D11—42no—
588C2×C22⋊D11—42no—
589C2×C22⋊D11—42no—
590C2×C22⋊D11C2414yes—
591C2×C22⋊D11C2414yes—
592C2×C22⋊D11C2414yes—
593C2×C22⋊D11C2414yes—
594C2×C22⋊D11C2414yes—
595C2×C22⋊D11C2414yes—
596C22×Dic11—24no—
597C22×Dic11—42no—
598C22×Dic11C2414yes—
599C22×Dic11C2411yescharacteristic
600C22×Dic11C2411yescharacteristic
601C22×Dic11C2411yescharacteristic
602C22×Dic11C2411yescharacteristic
603C22×Dic11C2411yescharacteristic
604C22×Dic11C2411yescharacteristic
605C22×Dic11C2411yescharacteristic
606C22×Dic11C2411yescharacteristic
607C22×Dic11C2411yescharacteristic
608C22×Dic11C2411yescharacteristic
609C22×Dic11C2411yescharacteristic
610C22×Dic11C2414yes—
611#4343—416no—
612Q8×D11—416no—
613#4339—416no—
614#4339—416no—
615C2×D44—24no—
616C2×D44—24no—
617C2×D44—24no—
618C2×D44—42no—
619C2×D44—42no—
620C2×D44—42no—
621C2×D44—42no—
622C2×D44—42no—
623C2×D44—416no—
624C2×D44C2414yes—
625C2×D44C2414yes—
626C2×D44C2414yes—
627C2×D44C2414yes—
628C2×D44C2414yes—
629C2×D44C2414yes—
630C2×D44C2414yes—
631C2×D44C2414yes—
632C2×C4×D11—24no—
633C2×C4×D11—24no—
634C2×C4×D11—24no—
635C2×C4×D11—24no—
636C2×C4×D11—42no—
637C2×C4×D11—42no—
638C2×C4×D11—42no—
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×D11—42no—
647C2×C4×D11—416no—
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×C4×D11C2414yes—
659C2×C4×D11C2414yes—
660C2×C4×D11C2414yes—
661C2×C4×D11C2414yes—
662C2×C4×D11C2414yes—
663C2×Dic22—42no—
664C2×Dic22—42no—
665C2×Dic22—42no—
666C2×Dic22—42no—
667C2×Dic22—42no—
668C2×Dic22—42no—
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×C4⋊C4C2414yes—
690C11×C4⋊C4C2414yes—
691C11×C22⋊C4C2414yes—
692C11×C22⋊C4C2414yes—
693C11×C22⋊C4C2414yes—
694C11×C22⋊C4C2414yes—
695C11×C22⋊C4C2414yes—
696C11×C22⋊C4C2414yes—
697C42×C11C2414yes—
698C42×C11C2414yes—
699C42×C11C2414yes—
700C22⋊Dic11C2414yes—
701C22⋊Dic11C2414yes—
702C22⋊Dic11C2414yes—
703C22⋊Dic11C2414yes—
704C22⋊Dic11C2414yes—
705C22⋊Dic11C2414yes—
706(C2×D11)⋊C4C2414yes—
707(C2×D11)⋊C4C2414yes—
708(C2×D11)⋊C4C2414yes—
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—
737(C2×D11)⋊C4C2414yes—
738(C2×D11)⋊C4C2414yes—
739(C2×D11)⋊C4C2414yes—
740C4⋊Dic11C2414yes—
741C4⋊Dic11C2414yes—
742C4⋊Dic11C2414yes—
743C4⋊Dic11C2414yes—
744C4⋊Dic11C2414yes—
745C4⋊Dic11C2414yes—
746C4⋊Dic11C2414yes—
747C4⋊Dic11C2414yes—
748Dic11⋊C4C2414yes—
749Dic11⋊C4C2414yes—
750Dic11⋊C4C2414yes—
751Dic11⋊C4C2414yes—
752Dic11⋊C4C2414yes—
753Dic11⋊C4C2414yes—
754Dic11⋊C4C2414yes—
755Dic11⋊C4C2414yes—
756Dic11⋊C4C2414yes—
757Dic11⋊C4C2414yes—
758Dic11⋊C4C2414yes—
759Dic11⋊C4C2414yes—
760Dic11⋊C4C2414yes—
761Dic11⋊C4C2414yes—
762Dic11⋊C4C2414yes—
763Dic11⋊C4C2414yes—
764Dic11⋊C4C2414yes—
765Dic11⋊C4C2414yes—
766Dic11⋊C4C2414yes—
767Dic11⋊C4C2414yes—
768Dic11⋊C4C2414yes—
769Dic11⋊C4C2414yes—
770Dic11⋊C4C2414yes—
771Dic11⋊C4C2414yes—
772Dic11⋊C4C2414yes—
773Dic11⋊C4C2414yes—
774C4×Dic11C2414yes—
775C4×Dic11C2414yes—
776C4×Dic11C2414yes—
777C4×Dic11C2414yes—
778C4×Dic11C2414yes—
779C4×Dic11C2414yes—
780C4×Dic11C2414yes—
781#3535—1132no—
782C2×#563—111no—
783C2×#563—111no—
784C2×#562—111no—
785C2×#562—111no—
786C2×#554—111no—
787C2×#554D1111yescharacteristic, complemented
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×#539—111no—
807C2×#538—111no—
808C2×#536—111no—
809C2×#536—111no—
810C2×#525—111no—
811C22×#123—111no—
812C22×C22⋊Q8—111no—
813C23×C11—22no—
814C23×C11—22no—
815C23×C11—22no—
816C23×C11—22no—
817C23×C11—22no—
818C23×C112−1+414yes—
819C23×C11C2512yes—
820C23×C11C2512yes—
821C23×C11C2511yescharacteristic
822C22×D11—22no—
823C22×D11—22no—
824C22×D11—22no—
825C22×D11—22no—
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—28no—
838C22×D11—28no—
839C22×D11—44no—
840C22×D11—44no—
841C22×D11—44no—
842C22×D11—416no—
843C22×D11—88no—
844C22×D11H(5,𝔽2)14yes—
845C22×D11C2512yes—
846C22×D11C2512yes—
847C22×D11C2512yes—
848C22×D11C2512yes—
849C22×D11C2512yes—
850Q8×C11—44no—
851Q8×C11—44no—
852Q8×C11—44no—
853D4×C11—28no—
854C2×C4×C11—22no—
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×C11—44no—
872C2×C4×C11—44no—
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—
883C2×C4×C11C2512yes—
884C2×C4×C11C2512yes—
885C2×C4×C11C2512yes—
886C22⋊D11—28no—
887C22⋊D11—28no—
888C22⋊D11—44no—
889C22⋊D11—44no—
890C22⋊D11—44no—
891C22⋊D11—44no—
892C2×Dic11—22no—
893C2×Dic11—22no—
894C2×Dic11—22no—
895C2×Dic11—22no—
896C2×Dic11—22no—
897C2×Dic11—28no—
898C2×Dic11—22no—
899C2×Dic11—22no—
900C2×Dic11—22no—
901C2×Dic11—22no—
902C2×Dic11—22no—
903C2×Dic11—22no—
904C2×Dic11—44no—
905C2×Dic11C2512yes—
906C2×Dic11C2512yes—
907C2×Dic11C2512yes—
908C2×Dic11C2512yes—
909C2×Dic11C2512yes—
910C2×Dic11C2512yes—
911C2×Dic11C2512yes—
912C2×Dic11C2512yes—
913C2×Dic11C2512yes—
914C2×Dic11C2512yes—
915C2×Dic11C2512yes—
916D44—28no—
917D44—28no—
918D44—28no—
919D44—44no—
920D44—44no—
921D44—44no—
922D44—44no—
923D44—44no—
924C4×D11—28no—
925C4×D11—28no—
926C4×D11—28no—
927C4×D11—28no—
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—
937C4×D11—44no—
938C4×D11—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#554C2×D11116yescomplemented
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#539—1116no—
976#538—1116no—
977#536—1116no—
978#536—1116no—
979C2×C4⋊Q8—111no—
980C2×C4⋊Q8—111no—
981C2×C4⋊Q8—111no—
982C2×C4⋊Q8—111no—
983C2×C4⋊Q8—111no—
984C2×C4⋊Q8C2×D1111yescharacteristic, complemented
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×#126—111no—
996C2×#126—111no—
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—111no—
1023C2×#123—111no—
1024C2×#123—111no—
1025C2×#123—111no—
1026C2×#123—111no—
1027C2×#123—111no—
1028C2×#123—111no—
1029C2×#123—111no—
1030C2×#123—111no—
1031C2×#123—111no—
1032C2×#123—111no—
1033C2×#123—1116no—
1034C2×#123—111no—
1035C2×#123—111no—
1036C2×#123—111no—
1037C2×#123—111no—
1038C2×#123—111no—
1039C2×#123—111no—
1040C2×#123—111no—
1041C2×#123—111no—
1042C2×#123—111no—
1043C2×#123—111no—
1044C2×#123—111no—
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—1116no—
1055C2×C22⋊Q8—111no—
1056C2×C22⋊Q8—111no—
1057C2×C22⋊Q8—111no—
1058C2×C22⋊Q8—111no—
1059C2×C22⋊Q8—111no—
1060C2×C22⋊Q8—111no—
1061C2×C22⋊Q8—111no—
1062C2×C22⋊Q8—111no—
1063C2×C22⋊Q8—111no—
1064C2×C22⋊Q8—111no—
1065C2×C22⋊Q8—111no—
1066C2×C22⋊Q8—111no—
1067C2×C22⋊Q8—111no—
1068C2×C22⋊Q8—111no—
1069C2×C22⋊Q8—111no—
1070C2×C22⋊Q8—111no—
1071C2×C22⋊Q8—111no—
1072C2×C22⋊Q8—111no—
1073C2×C22⋊Q8—111no—
1074C2×C22⋊Q8C2×D1111yescharacteristic
1075C2×C22⋊Q8C2×D1111yescharacteristic
1076C2×C22⋊Q8C2×D1111yescharacteristic
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×#121—111no—
1090C2×#120—111no—
1091C2×#120—111no—
1092C2×#120—111no—
1093C2×#120—111no—
1094C2×C4×Q8—111no—
1095C2×C4×Q8C2×D1111yescharacteristic, complemented
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×D4C2×D1111yescharacteristic
1108C2×C4×D4C2×D1111yescharacteristic
1109C2×C4×D4C2×D1111yescharacteristic
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⋊C4C2×D1111yescharacteristic
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—44no—
1138C22×C11C2×H(5,𝔽2)12yes—
1139C22×C11C2×2−1+414yes—
1140C22×C11C2×2−1+412yes—
1141C22×C11#58512yes—
1142C22×C11C2611yescharacteristic
1143C2×D11—22no—
1144C2×D11—22no—
1145C2×D11—28no—
1146C2×D11—22no—
1147C2×D11—22no—
1148C2×D11—22no—
1149C2×D11—22no—
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—416no—
1159C2×D11—44no—
1160C2×D11—44no—
1161C2×D11—44no—
1162C2×D11—44no—
1163C2×D11—88no—
1164C2×D11C2×H(5,𝔽2)14yes—
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—
1177C4×C11—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—118no—
1198C22×Q8—111no—
1199C22×Q8—111no—
1200C22×Q8—111no—
1201C22×Q8—111no—
1202C22×Q8—111no—
1203C22×Q8—111no—
1204C22×Q8—444no—
1205C22×Q8C22×D1111yescharacteristic
1206C22×Q8C22×D1111yescharacteristic
1207C22×Q8C22×D1111yescharacteristic
1208C22×D4—111no—
1209C22×D4—111no—
1210C22×D4—111no—
1211C22×D4—111no—
1212C22×D4—111no—
1213C22×D4—111no—
1214C22×D4—111no—
1215C22×D4—111no—
1216C22×D4—111no—
1217C22×D4—111no—
1218C22×D4—111no—
1219C22×D4—111no—
1220C22×D4—111no—
1221C22×D4—111no—
1222C22×D4—118no—
1223C22×D4—444no—
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—118no—
1243C23×C4—444no—
1244C23×C4C22×D1111yescharacteristic
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⋊Q8C22×D1118yescomplemented
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#126—118no—
1267#126—118no—
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#123—118no—
1311#123—118no—
1312#123—118no—
1313#123—118no—
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⋊Q8C22×D1118yes—
1343C22⋊Q8C22×D1118yes—
1344C22⋊Q8C22×D1118yes—
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#121—118no—
1358#120—118no—
1359#120—118no—
1360#120—118no—
1361#120—118no—
1362C4×Q8—118no—
1363C4×Q8C22×D1118yescomplemented
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×D4C22×D1118yes—
1376C4×D4C22×D1118yes—
1377C4×D4C22×D1118yes—
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—111no—
1400C2×C4⋊C4—118no—
1401C2×C4⋊C4—111no—
1402C2×C4⋊C4—111no—
1403C2×C4⋊C4—111no—
1404C2×C4⋊C4—111no—
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—118no—
1421C2×C4⋊C4—118no—
1422C2×C4⋊C4—118no—
1423C2×C4⋊C4—118no—
1424C2×C4⋊C4C22×D1111yescharacteristic
1425C2×C4⋊C4C22×D1111yescharacteristic
1426C2×C4⋊C4C22×D1111yescharacteristic
1427C2×C4⋊C4C22×D1111yescharacteristic
1428C2×C4⋊C4C22×D1111yescharacteristic
1429C2×C4⋊C4C22×D1111yescharacteristic
1430C2×C4⋊C4C22×D1111yescharacteristic
1431C2×C4⋊C4C22×D1118yes—
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—111no—
1466C2×C22⋊C4—111no—
1467C2×C22⋊C4—111no—
1468C2×C22⋊C4—118no—
1469C2×C22⋊C4—118no—
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—111no—
1482C2×C22⋊C4—111no—
1483C2×C22⋊C4—111no—
1484C2×C22⋊C4—111no—
1485C2×C22⋊C4—118no—
1486C2×C22⋊C4—118no—
1487C2×C22⋊C4—118no—
1488C2×C22⋊C4—118no—
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×C42C22×D1111yescharacteristic
1503C2×C42C22×D1111yescharacteristic
1504C2×C42C22×D1111yescharacteristic
1505C2×C11—24no—
1506C2×C11—42no—
1507C2×C11#353514yescomplemented
1508C2×C11C22×H(5,𝔽2)11yescharacteristic
1509C2×C11C22×2−1+411yescharacteristic
1510C2×C11C2×#58511yescharacteristic
1511D11—24no—
1512D11—42no—
1513D11—42no—
1514D11—42no—
1515D11—42no—
1516C24—111no—
1517C24—111no—
1518C24—111no—
1519C24—111no—
1520C24—111no—
1521C24—114no—
1522C24—114no—
1523C24—224no—
1524C24—224no—
1525C24—224no—
1526C24—442no—
1527C24—442no—
1528C24—442no—
1529C24C23×D1111yescharacteristic
1530C24C23×D1111yescharacteristic
1531#41—4416no—
1532#41—4416no—
1533#41—4416no—
1534C2×Q8—42no—
1535C2×Q8—42no—
1536C2×Q8—42no—
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—442no—
1548C2×Q8—442no—
1549C2×Q8—4416no—
1550C2×Q8C23×D1114yes—
1551C2×Q8C23×D1114yes—
1552C2×Q8C23×D1114yes—
1553C2×D4—24no—
1554C2×D4—114no—
1555C2×D4—114no—
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—224no—
1573C2×D4—442no—
1574C2×D4—442no—
1575C2×D4—442no—
1576C2×D4—442no—
1577C2×D4—442no—
1578C2×D4—4416no—
1579C2×D4—442no—
1580C2×D4—442no—
1581C2×D4—442no—
1582C2×D4—442no—
1583C2×D4C23×D1114yes—
1584C22×C4—42no—
1585C22×C4—42no—
1586C22×C4—42no—
1587C22×C4—42no—
1588C22×C4—42no—
1589C22×C4—42no—
1590C22×C4—114no—
1591C22×C4—111no—
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—114no—
1603C22×C4—114no—
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—224no—
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—442no—
1628C22×C4—442no—
1629C22×C4—442no—
1630C22×C4—442no—
1631C22×C4—442no—
1632C22×C4—442no—
1633C22×C4—442no—
1634C22×C4—4416no—
1635C22×C4—442no—
1636C22×C4C23×D1111yescharacteristic
1637C22×C4C23×D1111yescharacteristic
1638C22×C4C23×D1111yescharacteristic
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×D1114yes—
1650C22×C4C23×D1114yes—
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⋊C4C23×D1114yes—
1690C4⋊C4C23×D1114yes—
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⋊C4—114no—
1742C22⋊C4—114no—
1743C22⋊C4—114no—
1744C22⋊C4—114no—
1745C22⋊C4C23×D1114yes—
1746C22⋊C4C23×D1114yes—
1747C22⋊C4C23×D1114yes—
1748C22⋊C4C23×D1114yes—
1749C22⋊C4C23×D1114yes—
1750C22⋊C4C23×D1114yes—
1751C42—114no—
1752C42—114no—
1753C42—114no—
1754C42—114no—
1755C42—114no—
1756C42—114no—
1757C42—114no—
1758C42C23×D1114yes—
1759C42C23×D1114yes—
1760C42C23×D1114yes—
1761C11C2×#353511yescharacteristic, complemented, Sylow
1762C23—22no—
1763C23—22no—
1764C23—22no—
1765C23—22no—
1766C23—22no—
1767C23—114no—
1768C23—112no—
1769C23—112no—
1770C23—112no—
1771C23—112no—
1772C23—112no—
1773C23—228no—
1774C23—222no—
1775C23—222no—
1776C23—222no—
1777C23—228no—
1778C23—222no—
1779C23—222no—
1780C23—222no—
1781C23—222no—
1782C23—222no—
1783C23—222no—
1784C23—222no—
1785C23—222no—
1786C23—222no—
1787C23—222no—
1788C23—222no—
1789C23—228no—
1790C23—444no—
1791C23—444no—
1792C23—444no—
1793C23—4416no—
1794C23—888no—
1795C23#6704014yes—
1796C23C24×D1112yes—
1797C23C24×D1112yes—
1798C23C24×D1111yescharacteristic
1799Q8—44no—
1800Q8—44no—
1801Q8—44no—
1802Q8—444no—
1803Q8—444no—
1804Q8—444no—
1805Q8—444no—
1806Q8—444no—
1807Q8—444no—
1808D4—28no—
1809D4—228no—
1810D4—228no—
1811D4—228no—
1812D4—228no—
1813D4—228no—
1814D4—444no—
1815D4—444no—
1816D4—444no—
1817D4—444no—
1818D4—444no—
1819D4—444no—
1820D4—444no—
1821D4—444no—
1822D4—444no—
1823C2×C4—22no—
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—44no—
1841C2×C4—44no—
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—112no—
1853C2×C4—228no—
1854C2×C4—228no—
1855C2×C4—228no—
1856C2×C4—228no—
1857C2×C4—228no—
1858C2×C4—222no—
1859C2×C4—222no—
1860C2×C4—222no—
1861C2×C4—222no—
1862C2×C4—222no—
1863C2×C4—222no—
1864C2×C4—222no—
1865C2×C4—222no—
1866C2×C4—222no—
1867C2×C4—222no—
1868C2×C4—222no—
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×C4C24×D1112yes—
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—44no—
1901C22—114no—
1902C22—222no—
1903C22—222no—
1904C22—228no—
1905C22—222no—
1906C22—222no—
1907C22—222no—
1908C22—222no—
1909C22—222no—
1910C22—222no—
1911C22—222no—
1912C22—222no—
1913C22—222no—
1914C22—222no—
1915C22—222no—
1916C22—222no—
1917C22—4416no—
1918C22—444no—
1919C22—444no—
1920C22—444no—
1921C22—444no—
1922C22—888no—
1923C22C2×#6704014yes—
1924C22C2×#6704012yes—
1925C22#1062345312yes—
1926C22D11×H(5,𝔽2)12yes—
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—22no—
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—224no—
1955C2—442no—
1956C2—442no—
1957C2—442no—
1958C2—442no—
1959C2#1308282014yesdirect product factor
1960C2C2×D11×H(5,𝔽2)11yescharacteristic
1961C2C22×#6704011yescharacteristic
1962C2C2×#1062345311yescharacteristic
subgroupG/H
centerC23C24×D11
commutator, cosocleC22×C11C26
FrattiniC22C25×D11
FittingC2×C11×#554C2
socleC23×C11C25
hypercenterC2×#554D11
hypocenterC11C2×#3535
LCSG ▷ C22×C11 ▷ C11
UCSC1 ◁ C23 ◁ C2×#554

Complements

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

NH ≅ G/Ntype
1. #13082820C2direct (N × H)
2. C2×#10623230C2semidirect
3. C2×#10623266C2semidirect
4. C2×#10623178C2semidirect
5. C2×#10623178C2semidirect
6. C2×#10623042C2semidirect
7. C2×#10623112C2semidirect
8. C2×#10623224C2semidirect
9. C2×#10623087C2semidirect
10. C2×#10623087C2semidirect
11. C2×#10623168C2semidirect
12. C2×#10623168C2semidirect
13. C2×#10623162C2semidirect
14. C2×#10623038C2semidirect
15. C2×#10623081C2semidirect
16. C2×#10623161C2semidirect
17. C2×#10623154C2semidirect
18. C2×#10623165C2semidirect
19. C2×#10623113C2semidirect
20. C2×#10623171C2semidirect
21. C2×#10623223C2semidirect
22. C2×#10623223C2semidirect
23. C2×#10623046C2semidirect
24. C2×#10623169C2semidirect
25. C2×#10623095C2semidirect
26. C2×#10623091C2semidirect
27. C2×#10623255C2semidirect
28. C2×#10623159C2semidirect
29. C2×#10623078C2semidirect
30. C22×#66947C2semidirect
31. C2×D11×C22⋊Q8C2semidirect
32. C2×C11×#554C2semidirect
34. C22×Q8×D11C22semidirect
36. C22×#4339C22semidirect
39. C11×#554C22semidirect
40. C2×C11×C4⋊Q8C22semidirect
41. C2×C11×#125C22semidirect
42. C2×C11×#125C22semidirect
46. C2×C11×C22⋊Q8C22semidirect
47. C2×C11×C22⋊Q8C22semidirect
48. C2×C11×C22⋊Q8C22semidirect
49. C2×C4×Q8×C11C22semidirect
54. C22×C11×C4⋊C4C22semidirect
56. C2×#67000C22semidirect
57. C2×#67000C22semidirect
58. C2×#66999C22semidirect
59. C2×#66999C22semidirect
60. C2×#66999C22semidirect
61. C2×#66999C22semidirect
62. C2×#66999C22semidirect
63. C2×#66997C22semidirect
64. C2×#66997C22semidirect
70. C2×#66983C22semidirect
71. C2×#66982C22semidirect
72. C2×#66982C22semidirect
73. C2×#66982C22semidirect
74. C2×#66982C22semidirect
78. C2×C4×C22⋊D11C22semidirect
79. C2×C4×C22⋊D11C22semidirect
80. C2×C4×C22⋊D11C22semidirect
87. C2×#66977C22semidirect
89. #10623266C22semidirect
90. #10623255C22semidirect
91. #10623230C22semidirect
92. #10623224C22semidirect
93. #10623223C22semidirect
94. #10623223C22semidirect
95. #10623178C22semidirect
96. #10623178C22semidirect
97. #10623171C22semidirect
98. #10623169C22semidirect
99. #10623168C22semidirect
100. #10623168C22semidirect
101. #10623165C22semidirect
102. #10623162C22semidirect
103. #10623161C22semidirect
104. #10623159C22semidirect
105. D11×C22⋊Q8C22semidirect
106. #10623154C22semidirect
107. #10623113C22semidirect
108. #10623112C22semidirect
109. #10623095C22semidirect
110. #10623091C22semidirect
111. #10623087C22semidirect
112. #10623087C22semidirect
113. #10623081C22semidirect
114. #10623078C22semidirect
115. #10623046C22semidirect
116. C2×#66951C22semidirect
117. C2×#66951C22semidirect
118. C2×#66951C22semidirect
119. C2×#66951C22semidirect
120. C2×#66951C22semidirect
121. C2×#66951C22semidirect
122. C2×#66951C22semidirect
123. #10623042C22semidirect
124. C2×#66950C22semidirect
125. C2×#66950C22semidirect
126. C2×#66950C22semidirect
127. C2×#66950C22semidirect
128. C2×#66949C22semidirect
129. C2×#66949C22semidirect
130. C2×#66949C22semidirect
131. C2×#66949C22semidirect
132. C2×#66949C22semidirect
133. C2×#66949C22semidirect
134. C2×#66949C22semidirect
135. C2×#66949C22semidirect
136. C2×#66949C22semidirect
137. C2×#66949C22semidirect
138. C2×#66949C22semidirect
139. C2×#66949C22semidirect
140. #10623038C22semidirect
156. C2×#66947C22semidirect
157. C2×#66947C22semidirect
158. C2×#66947C22semidirect
159. C2×#66947C22semidirect
160. C2×#66947C22semidirect
161. C2×#66947C22semidirect
162. C2×#66947C22semidirect
164. C2×#66946C22semidirect
165. C2×#66946C22semidirect
166. C2×#66945C22semidirect
167. C2×#66945C22semidirect
168. C2×C4⋊C4×D11C22semidirect
169. C2×C4⋊C4×D11C22semidirect
170. C2×C4⋊C4×D11C22semidirect
171. C2×C4⋊C4×D11C22semidirect
172. C2×#66942C22semidirect
173. C2×#66942C22semidirect
174. C2×#66942C22semidirect
175. C2×#66942C22semidirect
176. C2×#66942C22semidirect
177. C2×#66942C22semidirect
178. C2×#66942C22semidirect
179. C2×#66941C22semidirect
180. C2×#66941C22semidirect
181. C2×#66941C22semidirect
182. C2×#66940C22semidirect
184. C2×#66938C22semidirect
185. C2×#66938C22semidirect
186. C2×#66938C22semidirect
189. C2×#66937C22semidirect
190. C2×#66937C22semidirect
191. C2×#66936C22semidirect
192. C2×#66936C22semidirect
193. C2×#66936C22semidirect
194. C2×#66936C22semidirect
201. C2×#66932C22semidirect
207. C2×#66929C22semidirect
208. C2×#66929C22semidirect
209. C2×#66929C22semidirect
210. C2×#66929C22semidirect
212. C2×#66928C22semidirect
214. C2×C4×D44C22semidirect
215. C2×#66925C22semidirect
216. C2×#66925C22semidirect
217. C2×#66925C22semidirect
218. C2×#66923C22semidirect
242. C2×Q8×D11C23semidirect
246. C2×#4339C23semidirect
280. C11×C4⋊Q8C23semidirect
281. C11×#125C23semidirect
282. C11×#125C23semidirect
286. C11×C22⋊Q8C23semidirect
287. C11×C22⋊Q8C23semidirect
288. C11×C22⋊Q8C23semidirect
289. C4×Q8×C11C23semidirect
310. C2×C11×C4⋊C4C23semidirect
327. #67000C23semidirect
328. #67000C23semidirect
329. #66999C23semidirect
330. #66999C23semidirect
331. #66999C23semidirect
332. #66999C23semidirect
333. #66999C23semidirect
334. #66997C23semidirect
335. #66997C23semidirect
341. #66983C23semidirect
342. #66982C23semidirect
343. #66982C23semidirect
344. #66982C23semidirect
345. #66982C23semidirect
349. C4×C22⋊D11C23semidirect
350. C4×C22⋊D11C23semidirect
351. C4×C22⋊D11C23semidirect
400. #66977C23semidirect
435. #66951C23semidirect
436. #66951C23semidirect
437. #66951C23semidirect
438. #66951C23semidirect
439. #66951C23semidirect
440. #66951C23semidirect
441. #66951C23semidirect
442. #66950C23semidirect
443. #66950C23semidirect
444. #66950C23semidirect
445. #66950C23semidirect
446. #66949C23semidirect
447. #66949C23semidirect
448. #66949C23semidirect
449. #66949C23semidirect
450. #66949C23semidirect
451. #66949C23semidirect
452. #66949C23semidirect
453. #66949C23semidirect
454. #66949C23semidirect
455. #66949C23semidirect
456. #66949C23semidirect
457. #66949C23semidirect
473. #66947C23semidirect
474. #66947C23semidirect
475. #66947C23semidirect
476. #66947C23semidirect
477. #66947C23semidirect
478. #66947C23semidirect
480. #66946C23semidirect
481. #66946C23semidirect
482. #66945C23semidirect
483. #66945C23semidirect
484. C4⋊C4×D11C23semidirect
485. C4⋊C4×D11C23semidirect
486. C4⋊C4×D11C23semidirect
487. C4⋊C4×D11C23semidirect
488. #66942C23semidirect
489. #66942C23semidirect
490. #66942C23semidirect
491. #66942C23semidirect
492. #66942C23semidirect
493. #66942C23semidirect
494. #66942C23semidirect
495. #66941C23semidirect
496. #66941C23semidirect
497. #66941C23semidirect
498. #66940C23semidirect
500. #66938C23semidirect
501. #66938C23semidirect
502. #66938C23semidirect
505. #66937C23semidirect
506. #66937C23semidirect
507. #66936C23semidirect
508. #66936C23semidirect
509. #66936C23semidirect
510. #66936C23semidirect
517. #66932C23semidirect
523. #66929C23semidirect
524. #66929C23semidirect
525. #66929C23semidirect
526. #66929C23semidirect
528. #66928C23semidirect
530. C4×D44C23semidirect
531. #66925C23semidirect
532. #66925C23semidirect
533. #66925C23semidirect
534. #66923C23semidirect
787. C2×#554D11semidirect
956. #554C2×D11semidirect
984. C2×C4⋊Q8C2×D11semidirect
1005. C2×#125C2×D11semidirect
1006. C2×#125C2×D11semidirect
1077. C2×C22⋊Q8C2×D11semidirect
1078. C2×C22⋊Q8C2×D11semidirect
1079. C2×C22⋊Q8C2×D11semidirect
1095. C2×C4×Q8C2×D11semidirect
1123. C22×C4⋊C4C2×D11semidirect
1255. C4⋊Q8C22×D11semidirect
1276. #125C22×D11semidirect
1277. #125C22×D11semidirect
1345. C22⋊Q8C22×D11semidirect
1346. C22⋊Q8C22×D11semidirect
1347. C22⋊Q8C22×D11semidirect
1363. C4×Q8C22×D11semidirect
1441. C2×C4⋊C4C22×D11semidirect
1507. C2×C11#3535semidirect
1761. C11C2×#3535semidirect
1959. C2#13082820direct (N × H)

Maximal subgroups

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

subgroupindex
#130828202
C2×#106232302
C2×#106232662
C2×#106231782
C2×#106230422
C2×#106231122
C2×#106232242
C2×#106230872
C2×#106231682
C2×#106231622
C2×#106230382
C2×#106230812
C2×#106231612
C2×#106231542
C2×#106231652
C2×#106231132
C2×#106231712
C2×#106232232
C2×#106230462
C2×#106231692
C2×#106230952
C2×#106230912
C2×#106232552
C2×#106231592
C2×#106230782
C22×#669472
C2×D11×C22⋊Q82
C2×C11×#5542
C2×#353511