Finite Group Databasebeta

← C2×#13082815 #15660971

Subgroups — C2×#13082815 #15660971

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#13082815C2132yesmaximal, direct product factor
2C2×#10623177C211yesmaximal, characteristic, complemented
3C2×#10623266C211yesmaximal, characteristic, complemented
4C2×#10623178C211yesmaximal, characteristic, complemented
5C2×#10623215C211yesmaximal, characteristic, complemented
6C2×#10623261C211yesmaximal, characteristic, complemented
7C2×#10623167C211yesmaximal, characteristic, complemented
8C2×#10623181C211yesmaximal, characteristic, complemented
9C2×#10623062C211yesmaximal, characteristic, complemented
10C2×#10623210C211yesmaximal, characteristic, complemented
11C2×#10623168C211yesmaximal, characteristic, complemented
12C2×#10623058C211yesmaximal, characteristic, complemented
13C2×#10623189C211yesmaximal, characteristic, complemented
14C2×#10623355C211yesmaximal, characteristic, complemented
15C2×#10623186C211yesmaximal, characteristic, complemented
16C2×#10623185C211yesmaximal, characteristic, complemented
17C2×#10623360C211yesmaximal, characteristic, complemented
18C2×#10623260C211yesmaximal, characteristic, complemented
19C2×#10623165C211yesmaximal, characteristic, complemented
20C2×#10623264C211yesmaximal, characteristic, complemented
21C2×#10623200C211yesmaximal, characteristic, complemented
22C2×#10623176C211yesmaximal, characteristic, complemented
23C2×#10623169C211yesmaximal, characteristic, complemented
24C2×#10623169C211yesmaximal, characteristic, complemented
25C2×#10623196C211yesmaximal, characteristic, complemented
26C2×#10623196C211yesmaximal, characteristic, complemented
27C2×#10623209C211yesmaximal, characteristic, complemented
28C2×#10623347C211yesmaximal, characteristic, complemented
29C2×#10623187C211yesmaximal, characteristic, complemented
30C2×D11×#123C211yesmaximal, characteristic, complemented
31C22×#66999C211yesmaximal, characteristic, complemented
32C2×C11×#536C211yesmaximal, characteristic, complemented
33C22×C11×#41C2211yescharacteristic
34C23×Q8×C11C2211yescharacteristic, complemented
35C22×#4341C2211yescharacteristic, complemented
36C22×D4×D11C2211yescharacteristic
37C22×#4339C2211yescharacteristic
38C23×C4×D11C2211yescharacteristic
39C11×#536C22116yescomplemented
40C2×C11×C4⋊Q8C2211yescharacteristic, complemented
41C2×C11×C4⋊Q8C2211yescharacteristic, complemented
42C2×C11×#124C2211yescharacteristic, complemented
43C2×C11×#124C2211yescharacteristic, complemented
44C2×C11×#123C2211yescharacteristic
45C2×C11×#123C2211yescharacteristic
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×C22⋊Q8C2211yescharacteristic, complemented
52C2×C11×#117C2211yescharacteristic, complemented
53#10623360C22116yescomplemented
54#10623355C22116yescomplemented
55#10623347C22116yescomplemented
56C2×#67000C2211yescharacteristic
57C2×#67000C2211yescharacteristic, complemented
58C2×#67000C2211yescharacteristic, complemented
59C2×#66999C2211yescharacteristic
60C2×#66999C2211yescharacteristic
61C2×#66999C2211yescharacteristic
62C2×#66999C2211yescharacteristic
63C2×#66999C2211yescharacteristic
64C2×#66999C2211yescharacteristic, complemented
65C2×#66999C2211yescharacteristic, complemented
66C2×#66999C2211yescharacteristic, complemented
67C2×#66999C2211yescharacteristic, complemented
68C2×#66999C2211yescharacteristic, complemented
69C2×#66999C2211yescharacteristic, complemented
70C2×#66999C2211yescharacteristic, complemented
71C2×#66999C2211yescharacteristic, complemented
72C2×#66999C2211yescharacteristic, complemented
73C2×#66999C22116yescomplemented
74C2×#66997C2211yescharacteristic, complemented
75C2×#66997C2211yescharacteristic, complemented
76C2×#66997C2211yescharacteristic, complemented
77C2×#66992C2211yescharacteristic
78C2×#66992C2211yescharacteristic
79C2×#66992C2211yescharacteristic
80C2×#66992C2211yescharacteristic, complemented
81C2×#66990C2211yescharacteristic
82C2×#66990C2211yescharacteristic
83C2×#66988C2211yescharacteristic
84C2×#66988C2211yescharacteristic, complemented
85C2×D4×Dic11C2211yescharacteristic
86C2×D4×Dic11C2211yescharacteristic, complemented
87C2×#66983C2211yescharacteristic
88C2×#66982C2211yescharacteristic
89C2×#66982C2211yescharacteristic
90C2×#66982C2211yescharacteristic
91C2×#66982C2211yescharacteristic, complemented
92C2×#66982C2211yescharacteristic, complemented
93C2×#66982C2211yescharacteristic, complemented
94C2×C4×C22⋊D11C2211yescharacteristic
95C2×C4×C22⋊D11C2211yescharacteristic, complemented
96C22×(C2×D11)⋊C4C2211yescharacteristic
97C22×(C2×D11)⋊C4C2211yescharacteristic
98C22×(C2×D11)⋊C4C2211yescharacteristic
99C2×#66979C2211yescharacteristic, complemented
100C22×C4⋊Dic11C2211yescharacteristic, complemented
101C2×#66977C2211yescharacteristic, complemented
102C22×Dic11⋊C4C2211yescharacteristic, complemented
103C22×Dic11⋊C4C2211yescharacteristic, complemented
104C22×Dic11⋊C4C2211yescharacteristic, complemented
105#10623266C22116yescomplemented
106#10623264C22116yescomplemented
107#10623261C22116yescomplemented
108#10623260C22116yescomplemented
109#10623215C22116yescomplemented
110#10623210C22116yescomplemented
111#10623209C22116yescomplemented
112#10623200C22116yescomplemented
113#10623196C22116yescomplemented
114#10623196C22116yescomplemented
115#10623189C22116yescomplemented
116#10623187C22116yescomplemented
117#10623186C22116yescomplemented
118#10623185C22116yescomplemented
119D11×#123C22116yescomplemented
120#10623181C22116yescomplemented
121#10623178C22116yescomplemented
122#10623177C22116yescomplemented
123#10623176C22116yescomplemented
124#10623169C22116yescomplemented
125#10623169C22116yescomplemented
126#10623168C22116yescomplemented
127#10623167C22116yescomplemented
128#10623165C22116yescomplemented
129#10623062C22116yescomplemented
130#10623058C22116yescomplemented
131C2×#66951C2211yescharacteristic, complemented
132C2×#66951C2211yescharacteristic, complemented
133C2×#66951C2211yescharacteristic, complemented
134C2×#66951C2211yescharacteristic, complemented
135C2×#66951C2211yescharacteristic, complemented
136C2×#66951C2211yescharacteristic, complemented
137C2×#66950C2211yescharacteristic
138C2×#66950C2211yescharacteristic, complemented
139C2×#66950C2211yescharacteristic, complemented
140C2×#66949C2211yescharacteristic
141C2×#66949C2211yescharacteristic
142C2×#66949C2211yescharacteristic
143C2×#66949C2211yescharacteristic, complemented
144C2×#66949C2211yescharacteristic, complemented
145C2×#66949C2211yescharacteristic, complemented
146C2×#66948C2211yescharacteristic
147C2×#66947C2211yescharacteristic
148C2×#66947C2211yescharacteristic
149C2×#66947C2211yescharacteristic
150C2×#66947C2211yescharacteristic
151C2×#66947C2211yescharacteristic, complemented
152C2×#66947C2211yescharacteristic, complemented
153C2×#66946C2211yescharacteristic
154C2×#66946C2211yescharacteristic
155C2×#66946C2211yescharacteristic, complemented
156C2×#66945C2211yescharacteristic
157C2×C4⋊C4×D11C2211yescharacteristic
158C2×C4⋊C4×D11C2211yescharacteristic
159C2×C4⋊C4×D11C2211yescharacteristic, complemented
160C2×#66943C2211yescharacteristic, complemented
161C2×#66943C2211yescharacteristic, complemented
162C2×#66943C2211yescharacteristic, complemented
163C2×#66942C2211yescharacteristic, complemented
164C2×#66942C2211yescharacteristic, complemented
165C2×#66942C2211yescharacteristic, complemented
166C2×#66942C2211yescharacteristic, complemented
167C2×#66942C2211yescharacteristic, complemented
168C2×#66942C2211yescharacteristic, complemented
169C2×#66941C2211yescharacteristic, complemented
170C2×#66940C2211yescharacteristic, complemented
171C2×#66939C2211yescharacteristic
172C2×#66939C2211yescharacteristic, complemented
173C2×#66939C2211yescharacteristic, complemented
174C2×#66939C2211yescharacteristic, complemented
175C2×#66938C2211yescharacteristic
176C2×#66938C2211yescharacteristic, complemented
177C2×#66937C2211yescharacteristic
178C2×#66937C2211yescharacteristic
179C2×#66937C2211yescharacteristic, complemented
180C2×#66937C2211yescharacteristic, complemented
181C2×#66936C2211yescharacteristic
182C2×#66936C2211yescharacteristic
183C2×#66936C2211yescharacteristic
184C2×#66936C2211yescharacteristic, complemented
185C2×#66936C2211yescharacteristic, complemented
186C2×#66936C2211yescharacteristic, complemented
187C2×#66935C2211yescharacteristic
188C2×#66935C2211yescharacteristic
189C2×(C22⋊D11)⋊C4C2211yescharacteristic
190C2×(C22⋊D11)⋊C4C2211yescharacteristic
191C2×(C22⋊D11)⋊C4C2211yescharacteristic
192C2×(C22⋊D11)⋊C4C2211yescharacteristic, complemented
193C2×(C22⋊D11)⋊C4C2211yescharacteristic, complemented
194C2×(C22⋊D11)⋊C4C2211yescharacteristic, complemented
195C2×C22⋊C4×D11C2211yescharacteristic
196C2×C22⋊C4×D11C2211yescharacteristic
197C2×C22⋊C4×D11C2211yescharacteristic
198C2×C22⋊C4×D11C2211yescharacteristic
199C2×#66932C2211yescharacteristic, complemented
200C2×#66932C2211yescharacteristic, complemented
201C2×#66932C2211yescharacteristic, complemented
202C2×#66932C2211yescharacteristic, complemented
203C2×#66931C2211yescharacteristic, complemented
204C2×#66931C2211yescharacteristic, complemented
205C2×#66931C2211yescharacteristic, complemented
206C2×#66931C2211yescharacteristic, complemented
207C2×#66931C2211yescharacteristic, complemented
208C2×#66931C2211yescharacteristic, complemented
209C2×#66930C2211yescharacteristic, complemented
210C2×#66930C2211yescharacteristic, complemented
211C2×#66929C2211yescharacteristic, complemented
212C2×#66929C2211yescharacteristic, complemented
213C2×#66928C2211yescharacteristic, complemented
214C2×C4×D44C2211yescharacteristic
215C2×#66925C2211yescharacteristic
216C2×#66925C2211yescharacteristic, complemented
217C2×#66923C2211yescharacteristic, complemented
218C2×C4×Dic22C2211yescharacteristic, complemented
219C24×D11C2311yescharacteristic
220C24×D11C2311yescharacteristic
221C2×C11×#41—44no—
222C2×C11×#41C2318yes—
223C22×Q8×C11—44no—
224C22×Q8×C11C2311yescharacteristic
225C22×Q8×C11C2311yescharacteristic
226C22×Q8×C11C2311yescharacteristic
227C22×Q8×C11C2311yescharacteristic
228C22×Q8×C11C2311yescharacteristic
229C22×Q8×C11C2318yescomplemented
230C22×D4×C11C2311yescharacteristic
231C22×D4×C11C2311yescharacteristic
232C22×D4×C11C2311yescharacteristic
233C23×C4×C11C2311yescharacteristic
234C23×C4×C11C2311yescharacteristic
235C23×C4×C11C2311yescharacteristic
236C23×C4×C11C2311yescharacteristic
237C23×C4×C11C2311yescharacteristic
238C22×C22⋊D11C2311yescharacteristic
239C22×C22⋊D11C2311yescharacteristic
240C22×C22⋊D11C2311yescharacteristic
241C22×C22⋊D11C2311yescharacteristic
242C22×C22⋊D11C2311yescharacteristic
243C22×C22⋊D11C2311yescharacteristic
244C22×C22⋊D11C2311yescharacteristic
245C22×C22⋊D11C2311yescharacteristic
246C23×Dic11C2311yescharacteristic
247C23×Dic11C2311yescharacteristic
248C23×Dic11C2311yescharacteristic
249C23×Dic11C2311yescharacteristic
250C23×Dic11C2311yescharacteristic
251C23×Dic11C2311yescharacteristic
252C2×#4341—44no—
253C2×#4341C2318yescomplemented
254C2×D4×D11—44no—
255C2×D4×D11C2318yes—
256C2×#4339—44no—
257C2×#4339C2318yes—
258C22×D44C2311yescharacteristic
259C22×D44C2311yescharacteristic
260C22×D44C2311yescharacteristic
261C22×D44C2311yescharacteristic
262C22×C4×D11—44no—
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×D11C2311yescharacteristic
274C22×C4×D11C2311yescharacteristic
275C22×C4×D11C2318yes—
276C22×Dic22C2311yescharacteristic
277C22×Dic22C2311yescharacteristic
278C22×Dic22C2311yescharacteristic
279C22×Dic22C2311yescharacteristic
280C11×C4⋊Q8C2318yescomplemented
281C11×C4⋊Q8C2318yescomplemented
282C11×#124C2318yescomplemented
283C11×#124C2318yescomplemented
284C11×#123C2318yes—
285C11×#123C2318yes—
286C11×#123C2318yescomplemented
287C11×#123C2318yescomplemented
288C11×C22⋊Q8C2318yescomplemented
289C11×C22⋊Q8C2318yescomplemented
290C11×C22⋊Q8C2318yescomplemented
291C11×C22⋊Q8C2318yescomplemented
292C11×#117C2318yescomplemented
293C2×C11×C4⋊C4C2311yescharacteristic
294C2×C11×C4⋊C4C2311yescharacteristic
295C2×C11×C4⋊C4C2311yescharacteristic
296C2×C11×C4⋊C4C2311yescharacteristic
297C2×C11×C4⋊C4C2311yescharacteristic
298C2×C11×C4⋊C4C2311yescharacteristic
299C2×C11×C4⋊C4C2311yescharacteristic
300C2×C11×C4⋊C4C2311yescharacteristic
301C2×C11×C4⋊C4C2311yescharacteristic
302C2×C11×C4⋊C4C2311yescharacteristic
303C2×C11×C22⋊C4C2311yescharacteristic
304C2×C11×C22⋊C4C2311yescharacteristic
305C2×C11×C22⋊C4C2311yescharacteristic
306C2×C11×C22⋊C4C2311yescharacteristic
307C2×C11×C22⋊C4C2311yescharacteristic
308C2×C11×C22⋊C4C2311yescharacteristic
309C2×C11×C22⋊C4C2311yescharacteristic
310C2×C11×C22⋊C4C2311yescharacteristic
311C2×C11×C22⋊C4C2311yescharacteristic
312C2×C11×C22⋊C4C2311yescharacteristic
313C2×C42×C11C2311yescharacteristic
314C2×C42×C11C2311yescharacteristic
315C2×C22⋊Dic11C2311yescharacteristic
316C2×C22⋊Dic11C2311yescharacteristic
317C2×C22⋊Dic11C2311yescharacteristic
318C2×C22⋊Dic11C2311yescharacteristic
319C2×C22⋊Dic11C2311yescharacteristic
320C2×C22⋊Dic11C2311yescharacteristic
321C2×C22⋊Dic11C2311yescharacteristic
322C2×C22⋊Dic11C2311yescharacteristic
323#67000C2318yes—
324#67000C2318yescomplemented
325#67000C2318yescomplemented
326#66999C2318yes—
327#66999C2318yes—
328#66999C2318yes—
329#66999C2318yes—
330#66999C2318yes—
331#66999C2318yescomplemented
332#66999C2318yescomplemented
333#66999C2318yescomplemented
334#66999C2318yescomplemented
335#66999C2318yescomplemented
336#66999C2318yescomplemented
337#66999C2318yescomplemented
338#66999C2318yescomplemented
339#66999C2318yescomplemented
340#66997C2318yescomplemented
341#66997C2318yescomplemented
342#66997C2318yescomplemented
343#66992C2318yes—
344#66992C2318yes—
345#66992C2318yes—
346#66992C2318yescomplemented
347#66990C2318yes—
348#66990C2318yes—
349#66988C2318yes—
350#66988C2318yescomplemented
351D4×Dic11C2318yes—
352D4×Dic11C2318yescomplemented
353#66983C2318yes—
354#66982C2318yes—
355#66982C2318yes—
356#66982C2318yes—
357#66982C2318yescomplemented
358#66982C2318yescomplemented
359#66982C2318yescomplemented
360C4×C22⋊D11C2318yes—
361C4×C22⋊D11C2318yescomplemented
362C2×(C2×D11)⋊C4C2311yescharacteristic
363C2×(C2×D11)⋊C4C2311yescharacteristic
364C2×(C2×D11)⋊C4C2311yescharacteristic
365C2×(C2×D11)⋊C4C2311yescharacteristic
366C2×(C2×D11)⋊C4C2311yescharacteristic
367C2×(C2×D11)⋊C4C2311yescharacteristic
368C2×(C2×D11)⋊C4C2311yescharacteristic
369C2×(C2×D11)⋊C4C2311yescharacteristic
370C2×(C2×D11)⋊C4C2311yescharacteristic
371C2×(C2×D11)⋊C4C2311yescharacteristic
372C2×(C2×D11)⋊C4C2311yescharacteristic
373C2×(C2×D11)⋊C4C2311yescharacteristic
374C2×(C2×D11)⋊C4C2311yescharacteristic
375C2×(C2×D11)⋊C4C2311yescharacteristic
376C2×(C2×D11)⋊C4C2311yescharacteristic
377C2×(C2×D11)⋊C4C2311yescharacteristic
378C2×(C2×D11)⋊C4C2311yescharacteristic
379C2×(C2×D11)⋊C4C2311yescharacteristic
380C2×(C2×D11)⋊C4C2311yescharacteristic
381C2×(C2×D11)⋊C4C2311yescharacteristic
382C2×(C2×D11)⋊C4C2311yescharacteristic
383C2×(C2×D11)⋊C4C2311yescharacteristic
384C2×(C2×D11)⋊C4C2311yescharacteristic
385C2×(C2×D11)⋊C4C2311yescharacteristic
386C2×(C2×D11)⋊C4C2311yescharacteristic
387C2×(C2×D11)⋊C4C2311yescharacteristic
388C2×(C2×D11)⋊C4C2311yescharacteristic
389C2×(C2×D11)⋊C4C2311yescharacteristic
390C2×(C2×D11)⋊C4C2318yes—
391C2×(C2×D11)⋊C4C2318yes—
392C2×(C2×D11)⋊C4C2318yes—
393#66979C2318yescomplemented
394C2×C4⋊Dic11C2311yescharacteristic
395C2×C4⋊Dic11C2311yescharacteristic
396C2×C4⋊Dic11C2311yescharacteristic
397C2×C4⋊Dic11C2311yescharacteristic
398C2×C4⋊Dic11C2311yescharacteristic
399C2×C4⋊Dic11C2311yescharacteristic
400C2×C4⋊Dic11C2311yescharacteristic
401C2×C4⋊Dic11C2311yescharacteristic
402C2×C4⋊Dic11C2311yescharacteristic
403C2×C4⋊Dic11C2311yescharacteristic
404C2×C4⋊Dic11C2311yescharacteristic
405C2×C4⋊Dic11C2311yescharacteristic
406C2×C4⋊Dic11C2318yescomplemented
407#66977C2318yescomplemented
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⋊C4C2311yescharacteristic
428C2×Dic11⋊C4C2311yescharacteristic
429C2×Dic11⋊C4C2311yescharacteristic
430C2×Dic11⋊C4C2311yescharacteristic
431C2×Dic11⋊C4C2311yescharacteristic
432C2×Dic11⋊C4C2311yescharacteristic
433C2×Dic11⋊C4C2311yescharacteristic
434C2×Dic11⋊C4C2311yescharacteristic
435C2×Dic11⋊C4C2311yescharacteristic
436C2×Dic11⋊C4C2318yescomplemented
437C2×Dic11⋊C4C2318yescomplemented
438C2×Dic11⋊C4C2318yescomplemented
439C2×C4×Dic11C2311yescharacteristic
440C2×C4×Dic11C2311yescharacteristic
441C2×C4×Dic11C2311yescharacteristic
442C2×C4×Dic11C2311yescharacteristic
443C2×C4×Dic11C2311yescharacteristic
444C2×C4×Dic11C2311yescharacteristic
445C2×C4×Dic11C2311yescharacteristic
446C2×C4×Dic11C2311yescharacteristic
447#66951C2318yescomplemented
448#66951C2318yescomplemented
449#66951C2318yescomplemented
450#66951C2318yescomplemented
451#66951C2318yescomplemented
452#66951C2318yescomplemented
453#66950C2318yes—
454#66950C2318yescomplemented
455#66950C2318yescomplemented
456#66949C2318yes—
457#66949C2318yes—
458#66949C2318yes—
459#66949C2318yescomplemented
460#66949C2318yescomplemented
461#66949C2318yescomplemented
462#66948C2318yes—
463#66947C2318yes—
464#66947C2318yes—
465#66947C2318yes—
466#66947C2318yes—
467#66947C2318yescomplemented
468#66947C2318yescomplemented
469#66946C2318yes—
470#66946C2318yes—
471#66946C2318yescomplemented
472#66945C2318yes—
473C4⋊C4×D11C2318yes—
474C4⋊C4×D11C2318yes—
475C4⋊C4×D11C2318yescomplemented
476#66943C2318yescomplemented
477#66943C2318yescomplemented
478#66943C2318yescomplemented
479#66942C2318yescomplemented
480#66942C2318yescomplemented
481#66942C2318yescomplemented
482#66942C2318yescomplemented
483#66942C2318yescomplemented
484#66942C2318yescomplemented
485#66941C2318yescomplemented
486#66940C2318yescomplemented
487#66939C2318yes—
488#66939C2318yescomplemented
489#66939C2318yescomplemented
490#66939C2318yescomplemented
491#66938C2318yes—
492#66938C2318yescomplemented
493#66937C2318yes—
494#66937C2318yes—
495#66937C2318yescomplemented
496#66937C2318yescomplemented
497#66936C2318yes—
498#66936C2318yes—
499#66936C2318yes—
500#66936C2318yescomplemented
501#66936C2318yescomplemented
502#66936C2318yescomplemented
503#66935C2318yes—
504#66935C2318yes—
505(C22⋊D11)⋊C4C2318yes—
506(C22⋊D11)⋊C4C2318yes—
507(C22⋊D11)⋊C4C2318yes—
508(C22⋊D11)⋊C4C2318yescomplemented
509(C22⋊D11)⋊C4C2318yescomplemented
510(C22⋊D11)⋊C4C2318yescomplemented
511C22⋊C4×D11C2318yes—
512C22⋊C4×D11C2318yes—
513C22⋊C4×D11C2318yes—
514C22⋊C4×D11C2318yes—
515#66932C2318yescomplemented
516#66932C2318yescomplemented
517#66932C2318yescomplemented
518#66932C2318yescomplemented
519#66931C2318yescomplemented
520#66931C2318yescomplemented
521#66931C2318yescomplemented
522#66931C2318yescomplemented
523#66931C2318yescomplemented
524#66931C2318yescomplemented
525#66930C2318yescomplemented
526#66930C2318yescomplemented
527#66929C2318yescomplemented
528#66929C2318yescomplemented
529#66928C2318yescomplemented
530C4×D44C2318yes—
531#66925C2318yes—
532#66925C2318yescomplemented
533#66923C2318yescomplemented
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—
551C11×#41—416no—
552C2×Q8×C11—42no—
553C2×Q8×C11—42no—
554C2×Q8×C11—42no—
555C2×Q8×C11—42no—
556C2×Q8×C11—416no—
557C2×Q8×C11—42no—
558C2×Q8×C11C2414yes—
559C2×Q8×C11C2414yes—
560C2×Q8×C11C2414yes—
561C2×Q8×C11C2414yes—
562C2×Q8×C11C2414yes—
563C2×D4×C11—24no—
564C2×D4×C11—24no—
565C2×D4×C11—42no—
566C2×D4×C11C2414yes—
567C2×D4×C11C2414yes—
568C2×D4×C11C2414yes—
569C22×C4×C11—24no—
570C22×C4×C11—24no—
571C22×C4×C11—24no—
572C22×C4×C11—42no—
573C22×C4×C11—42no—
574C22×C4×C11C2411yescharacteristic
575C22×C4×C11C2411yescharacteristic
576C22×C4×C11C2411yescharacteristic
577C22×C4×C11C2411yescharacteristic
578C22×C4×C11C2411yescharacteristic
579C22×C4×C11C2411yescharacteristic
580C22×C4×C11C2411yescharacteristic
581C22×C4×C11C2411yescharacteristic
582C22×C4×C11C2411yescharacteristic
583C22×C4×C11C2411yescharacteristic
584C22×C4×C11C2411yescharacteristic
585C22×C4×C11C2411yescharacteristic
586C22×C4×C11C2414yes—
587C22×C4×C11C2414yes—
588C22×C4×C11C2414yes—
589C22×C4×C11C2414yes—
590C22×C4×C11C2414yes—
591C2×C22⋊D11—24no—
592C2×C22⋊D11—24no—
593C2×C22⋊D11—24no—
594C2×C22⋊D11—42no—
595C2×C22⋊D11—42no—
596C2×C22⋊D11—42no—
597C2×C22⋊D11—42no—
598C2×C22⋊D11—42no—
599C2×C22⋊D11C2414yes—
600C2×C22⋊D11C2414yes—
601C2×C22⋊D11C2414yes—
602C2×C22⋊D11C2414yes—
603C2×C22⋊D11C2414yes—
604C2×C22⋊D11C2414yes—
605C2×C22⋊D11C2414yes—
606C2×C22⋊D11C2414yes—
607C22×Dic11—24no—
608C22×Dic11—42no—
609C22×Dic11—42no—
610C22×Dic11—42no—
611C22×Dic11—42no—
612C22×Dic11—42no—
613C22×Dic11C2414yes—
614C22×Dic11C2411yescharacteristic
615C22×Dic11C2411yescharacteristic
616C22×Dic11C2411yescharacteristic
617C22×Dic11C2411yescharacteristic
618C22×Dic11C2411yescharacteristic
619C22×Dic11C2411yescharacteristic
620C22×Dic11C2411yescharacteristic
621C22×Dic11C2411yescharacteristic
622C22×Dic11C2411yescharacteristic
623C22×Dic11C2411yescharacteristic
624C22×Dic11C2411yescharacteristic
625C22×Dic11C2411yescharacteristic
626C22×Dic11C2414yes—
627C22×Dic11C2414yes—
628C22×Dic11C2414yes—
629C22×Dic11C2414yes—
630C22×Dic11C2414yes—
631#4341—416no—
632D4×D11—416no—
633#4339—416no—
634C2×D44—24no—
635C2×D44—42no—
636C2×D44—42no—
637C2×D44—42no—
638C2×D44C2414yes—
639C2×D44C2414yes—
640C2×D44C2414yes—
641C2×D44C2414yes—
642C2×C4×D11—24no—
643C2×C4×D11—42no—
644C2×C4×D11—42no—
645C2×C4×D11—42no—
646C2×C4×D11—42no—
647C2×C4×D11—416no—
648C2×C4×D11—42no—
649C2×C4×D11—42no—
650C2×C4×D11—42no—
651C2×C4×D11—42no—
652C2×C4×D11—42no—
653C2×C4×D11—42no—
654C2×C4×D11—42no—
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×C4×D11C2414yes—
664C2×C4×D11C2414yes—
665C2×C4×D11C2414yes—
666C2×C4×D11C2414yes—
667C2×Dic22—42no—
668C2×Dic22—42no—
669C2×Dic22—42no—
670C2×Dic22—42no—
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×C22⋊C4C2414yes—
686C11×C22⋊C4C2414yes—
687C11×C22⋊C4C2414yes—
688C11×C22⋊C4C2414yes—
689C11×C22⋊C4C2414yes—
690C11×C22⋊C4C2414yes—
691C11×C22⋊C4C2414yes—
692C11×C22⋊C4C2414yes—
693C11×C22⋊C4C2414yes—
694C11×C22⋊C4C2414yes—
695C42×C11C2414yes—
696C42×C11C2414yes—
697C22⋊Dic11C2414yes—
698C22⋊Dic11C2414yes—
699C22⋊Dic11C2414yes—
700C22⋊Dic11C2414yes—
701C22⋊Dic11C2414yes—
702C22⋊Dic11C2414yes—
703C22⋊Dic11C2414yes—
704C22⋊Dic11C2414yes—
705(C2×D11)⋊C4C2414yes—
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—
733C4⋊Dic11C2414yes—
734C4⋊Dic11C2414yes—
735C4⋊Dic11C2414yes—
736C4⋊Dic11C2414yes—
737C4⋊Dic11C2414yes—
738C4⋊Dic11C2414yes—
739C4⋊Dic11C2414yes—
740C4⋊Dic11C2414yes—
741C4⋊Dic11C2414yes—
742C4⋊Dic11C2414yes—
743C4⋊Dic11C2414yes—
744C4⋊Dic11C2414yes—
745Dic11⋊C4C2414yes—
746Dic11⋊C4C2414yes—
747Dic11⋊C4C2414yes—
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—
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×#539—111no—
807C2×#538—111no—
808C2×#536—111no—
809C2×#536D1111yescharacteristic, complemented
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—22no—
830C22×D11—28no—
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—
851Q8×C11—44no—
852Q8×C11—44no—
853Q8×C11—44no—
854Q8×C11—44no—
855D4×C11—28no—
856D4×C11—28no—
857D4×C11—44no—
858C2×C4×C11—22no—
859C2×C4×C11—22no—
860C2×C4×C11—28no—
861C2×C4×C11—22no—
862C2×C4×C11—22no—
863C2×C4×C11—22no—
864C2×C4×C11—22no—
865C2×C4×C11—28no—
866C2×C4×C11—22no—
867C2×C4×C11—22no—
868C2×C4×C11—28no—
869C2×C4×C11—22no—
870C2×C4×C11—22no—
871C2×C4×C11—22no—
872C2×C4×C11—22no—
873C2×C4×C11—44no—
874C2×C4×C11—44no—
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—
886C2×C4×C11C2512yes—
887C22⋊D11—28no—
888C22⋊D11—28no—
889C22⋊D11—28no—
890C22⋊D11—44no—
891C22⋊D11—44no—
892C22⋊D11—44no—
893C22⋊D11—44no—
894C22⋊D11—44no—
895C2×Dic11—22no—
896C2×Dic11—22no—
897C2×Dic11—22no—
898C2×Dic11—22no—
899C2×Dic11—28no—
900C2×Dic11—22no—
901C2×Dic11—22no—
902C2×Dic11—22no—
903C2×Dic11—22no—
904C2×Dic11—22no—
905C2×Dic11—22no—
906C2×Dic11—22no—
907C2×Dic11—22no—
908C2×Dic11—44no—
909C2×Dic11—44no—
910C2×Dic11—44no—
911C2×Dic11—44no—
912C2×Dic11—44no—
913C2×Dic11C2512yes—
914C2×Dic11C2512yes—
915C2×Dic11C2512yes—
916C2×Dic11C2512yes—
917C2×Dic11C2512yes—
918C2×Dic11C2512yes—
919C2×Dic11C2512yes—
920C2×Dic11C2512yes—
921C2×Dic11C2512yes—
922C2×Dic11C2512yes—
923C2×Dic11C2512yes—
924C2×Dic11C2512yes—
925D44—28no—
926D44—44no—
927D44—44no—
928D44—44no—
929C4×D11—28no—
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—
939C4×D11—44no—
940C4×D11—44no—
941Dic22—44no—
942Dic22—44no—
943Dic22—44no—
944Dic22—44no—
945C22×#41—111no—
946C22×#41—111no—
947C22×#41C2×D1111yescharacteristic
948C23×Q8C2×D1111yescharacteristic, complemented
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#539—1116no—
976#538—1116no—
977#536—1116no—
978#536C2×D11116yescomplemented
979C2×C4⋊Q8—111no—
980C2×C4⋊Q8—111no—
981C2×C4⋊Q8—111no—
982C2×C4⋊Q8—111no—
983C2×C4⋊Q8C2×D1111yescharacteristic, complemented
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×#125—111no—
1006C2×#125—111no—
1007C2×#124—111no—
1008C2×#124—111no—
1009C2×#124—111no—
1010C2×#124—111no—
1011C2×#124—111no—
1012C2×#124—111no—
1013C2×#124C2×D1111yescharacteristic, complemented
1014C2×#124C2×D1111yescharacteristic, complemented
1015#525—1116no—
1016C2×#123—111no—
1017C2×#123—111no—
1018C2×#123—111no—
1019C2×#123—111no—
1020C2×#123—111no—
1021C2×#123—111no—
1022C2×#123—111no—
1023C2×#123—111no—
1024C2×#123—1116no—
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
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—1116no—
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⋊Q8—111no—
1075C2×C22⋊Q8—111no—
1076C2×C22⋊Q8C2×D1111yescharacteristic, complemented
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×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×D4—111no—
1109C2×C4×D4—111no—
1110C2×#117—111no—
1111C2×#117—111no—
1112C2×#117—111no—
1113C2×#117—111no—
1114C2×#117—111no—
1115C2×#117—111no—
1116C2×#117C2×D1111yescharacteristic, complemented
1117C22×C4⋊C4—111no—
1118C22×C4⋊C4—111no—
1119C22×C4⋊C4—111no—
1120C22×C4⋊C4—111no—
1121C22×C4⋊C4—111no—
1122C22×C4⋊C4—111no—
1123C22×C4⋊C4—111no—
1124C22×C22⋊C4—111no—
1125C22×C22⋊C4—111no—
1126C22×C22⋊C4—111no—
1127C22×C22⋊C4—111no—
1128C22×C22⋊C4—111no—
1129C22×C22⋊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—44no—
1192C2×#41—118no—
1193C2×#41—118no—
1194C2×#41—444no—
1195C2×#41—444no—
1196C2×#41C22×D1118yes—
1197C22×Q8—44no—
1198C22×Q8—111no—
1199C22×Q8—111no—
1200C22×Q8—111no—
1201C22×Q8—111no—
1202C22×Q8C22×D1111yescharacteristic
1203C22×Q8C22×D1111yescharacteristic
1204C22×Q8C22×D1111yescharacteristic
1205C22×Q8C22×D1111yescharacteristic
1206C22×Q8C22×D1111yescharacteristic
1207C22×Q8C22×D1118yescomplemented
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⋊Q8C22×D1118yescomplemented
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#125—118no—
1277#125—118no—
1278#124—118no—
1279#124—118no—
1280#124—118no—
1281#124—118no—
1282#124—118no—
1283#124—118no—
1284#124C22×D1118yescomplemented
1285#124C22×D1118yescomplemented
1286#123—118no—
1287#123—118no—
1288#123—118no—
1289#123—118no—
1290#123—118no—
1291#123—118no—
1292#123—118no—
1293#123—118no—
1294#123—118no—
1295#123—118no—
1296#123—118no—
1297#123—118no—
1298#123—118no—
1299#123—118no—
1300#123—118no—
1301#123—118no—
1302#123—118no—
1303#123—118no—
1304#123—118no—
1305#123—118no—
1306#123—118no—
1307#123—118no—
1308#123—118no—
1309#123—118no—
1310#123C22×D1118yes—
1311#123C22×D1118yes—
1312#123C22×D1118yescomplemented
1313#123C22×D1118yescomplemented
1314C22⋊Q8—118no—
1315C22⋊Q8—118no—
1316C22⋊Q8—118no—
1317C22⋊Q8—118no—
1318C22⋊Q8—118no—
1319C22⋊Q8—118no—
1320C22⋊Q8—118no—
1321C22⋊Q8—118no—
1322C22⋊Q8—118no—
1323C22⋊Q8—118no—
1324C22⋊Q8—118no—
1325C22⋊Q8—118no—
1326C22⋊Q8—118no—
1327C22⋊Q8—118no—
1328C22⋊Q8—118no—
1329C22⋊Q8—118no—
1330C22⋊Q8—118no—
1331C22⋊Q8—118no—
1332C22⋊Q8—118no—
1333C22⋊Q8—118no—
1334C22⋊Q8—118no—
1335C22⋊Q8—118no—
1336C22⋊Q8—118no—
1337C22⋊Q8—118no—
1338C22⋊Q8—118no—
1339C22⋊Q8—118no—
1340C22⋊Q8—118no—
1341C22⋊Q8—118no—
1342C22⋊Q8—118no—
1343C22⋊Q8—118no—
1344C22⋊Q8C22×D1118yescomplemented
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×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×D4—118no—
1377C4×D4—118no—
1378#117—118no—
1379#117—118no—
1380#117—118no—
1381#117—118no—
1382#117—118no—
1383#117—118no—
1384#117C22×D1118yescomplemented
1385C2×C4⋊C4—111no—
1386C2×C4⋊C4—111no—
1387C2×C4⋊C4—111no—
1388C2×C4⋊C4—111no—
1389C2×C4⋊C4—111no—
1390C2×C4⋊C4—111no—
1391C2×C4⋊C4—111no—
1392C2×C4⋊C4—111no—
1393C2×C4⋊C4—111no—
1394C2×C4⋊C4—111no—
1395C2×C4⋊C4—111no—
1396C2×C4⋊C4—111no—
1397C2×C4⋊C4—111no—
1398C2×C4⋊C4—111no—
1399C2×C4⋊C4—111no—
1400C2×C4⋊C4—111no—
1401C2×C4⋊C4—111no—
1402C2×C4⋊C4—111no—
1403C2×C4⋊C4—118no—
1404C2×C4⋊C4—118no—
1405C2×C4⋊C4—118no—
1406C2×C4⋊C4—111no—
1407C2×C4⋊C4—111no—
1408C2×C4⋊C4—111no—
1409C2×C4⋊C4—118no—
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—111no—
1425C2×C4⋊C4—111no—
1426C2×C4⋊C4—111no—
1427C2×C4⋊C4—111no—
1428C2×C4⋊C4—111no—
1429C2×C4⋊C4—118no—
1430C2×C4⋊C4—118no—
1431C2×C4⋊C4—118no—
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×D1111yescharacteristic
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—416no—
1532#41—4416no—
1533#41—4416no—
1534C2×Q8—42no—
1535C2×Q8—42no—
1536C2×Q8—42no—
1537C2×Q8—42no—
1538C2×Q8—416no—
1539C2×Q8—42no—
1540C2×Q8—114no—
1541C2×Q8—114no—
1542C2×Q8—114no—
1543C2×Q8—114no—
1544C2×Q8—442no—
1545C2×Q8—442no—
1546C2×Q8—442no—
1547C2×Q8—442no—
1548C2×Q8C23×D1114yes—
1549C2×Q8C23×D1114yes—
1550C2×Q8C23×D1114yes—
1551C2×Q8C23×D1114yes—
1552C2×Q8C23×D1114yes—
1553C2×D4—24no—
1554C2×D4—24no—
1555C2×D4—42no—
1556C2×D4—114no—
1557C2×D4—114no—
1558C2×D4—114no—
1559C2×D4—114no—
1560C2×D4—114no—
1561C2×D4—114no—
1562C2×D4—114no—
1563C2×D4—114no—
1564C2×D4—114no—
1565C2×D4—114no—
1566C2×D4—114no—
1567C2×D4—114no—
1568C2×D4—224no—
1569C2×D4—224no—
1570C2×D4—224no—
1571C2×D4—224no—
1572C2×D4—442no—
1573C2×D4—442no—
1574C2×D4—442no—
1575C2×D4—442no—
1576C2×D4—442no—
1577C2×D4—442no—
1578C2×D4—442no—
1579C2×D4—442no—
1580C2×D4—4416no—
1581C2×D4C23×D1114yes—
1582C2×D4C23×D1114yes—
1583C2×D4C23×D1114yes—
1584C22×C4—24no—
1585C22×C4—24no—
1586C22×C4—24no—
1587C22×C4—42no—
1588C22×C4—42no—
1589C22×C4—114no—
1590C22×C4—111no—
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—114no—
1619C22×C4—224no—
1620C22×C4—224no—
1621C22×C4—442no—
1622C22×C4—442no—
1623C22×C4—442no—
1624C22×C4—442no—
1625C22×C4—4416no—
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—442no—
1635C22×C4—442no—
1636C22×C4—442no—
1637C22×C4—442no—
1638C22×C4C23×D1114yes—
1639C22×C4C23×D1114yes—
1640C22×C4C23×D1114yes—
1641C22×C4C23×D1111yescharacteristic
1642C22×C4C23×D1111yescharacteristic
1643C22×C4C23×D1111yescharacteristic
1644C22×C4C23×D1111yescharacteristic
1645C22×C4C23×D1111yescharacteristic
1646C22×C4C23×D1111yescharacteristic
1647C22×C4C23×D1111yescharacteristic
1648C22×C4C23×D1111yescharacteristic
1649C22×C4C23×D1111yescharacteristic
1650C22×C4C23×D1111yescharacteristic
1651C22×C4C23×D1111yescharacteristic
1652C22×C4C23×D1111yescharacteristic
1653C22×C4C23×D1114yes—
1654C22×C4C23×D1114yes—
1655C4⋊C4—114no—
1656C4⋊C4—114no—
1657C4⋊C4—114no—
1658C4⋊C4—114no—
1659C4⋊C4—114no—
1660C4⋊C4—114no—
1661C4⋊C4—114no—
1662C4⋊C4—114no—
1663C4⋊C4—114no—
1664C4⋊C4—114no—
1665C4⋊C4—114no—
1666C4⋊C4—114no—
1667C4⋊C4—114no—
1668C4⋊C4—114no—
1669C4⋊C4—114no—
1670C4⋊C4—114no—
1671C4⋊C4—114no—
1672C4⋊C4—114no—
1673C4⋊C4—114no—
1674C4⋊C4—114no—
1675C4⋊C4—114no—
1676C4⋊C4—114no—
1677C4⋊C4—114no—
1678C4⋊C4—114no—
1679C4⋊C4—114no—
1680C4⋊C4—114no—
1681C4⋊C4—114no—
1682C4⋊C4—114no—
1683C4⋊C4—114no—
1684C4⋊C4—114no—
1685C4⋊C4—114no—
1686C4⋊C4—114no—
1687C4⋊C4—114no—
1688C4⋊C4—114no—
1689C4⋊C4—114no—
1690C4⋊C4—114no—
1691C4⋊C4—114no—
1692C4⋊C4—114no—
1693C4⋊C4—114no—
1694C4⋊C4—114no—
1695C4⋊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#6703714yes—
1795C23C24×D1112yes—
1796C23C24×D1112yes—
1797C23C24×D1112yes—
1798C23C24×D1111yescharacteristic
1799Q8—44no—
1800Q8—44no—
1801Q8—44no—
1802Q8—44no—
1803Q8—44no—
1804Q8—444no—
1805Q8—444no—
1806Q8—444no—
1807Q8—444no—
1808D4—28no—
1809D4—28no—
1810D4—44no—
1811D4—228no—
1812D4—228no—
1813D4—228no—
1814D4—228no—
1815D4—444no—
1816D4—444no—
1817D4—444no—
1818D4—444no—
1819D4—444no—
1820D4—444no—
1821D4—444no—
1822D4—444no—
1823C2×C4—22no—
1824C2×C4—28no—
1825C2×C4—22no—
1826C2×C4—22no—
1827C2×C4—22no—
1828C2×C4—22no—
1829C2×C4—22no—
1830C2×C4—28no—
1831C2×C4—28no—
1832C2×C4—22no—
1833C2×C4—22no—
1834C2×C4—22no—
1835C2×C4—22no—
1836C2×C4—22no—
1837C2×C4—22no—
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—228no—
1856C2×C4—222no—
1857C2×C4—222no—
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—444no—
1867C2×C4—444no—
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×#6703714yes—
1924C22C2×#6703712yes—
1925C22D11×2−1+412yes—
1926C22#1062345712yes—
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#1308281514yesdirect product factor
1960C2C22×#6703711yescharacteristic
1961C2C2×D11×2−1+411yescharacteristic
1962C2C2×#1062345711yescharacteristic
subgroupG/H
centerC23C24×D11
commutator, cosocleC22×C11C26
FrattiniC22C25×D11
FittingC2×C11×#536C2
socleC23×C11C25
hypercenterC2×#536D11
hypocenterC11C2×#3535
LCSG ▷ C22×C11 ▷ C11
UCSC1 ◁ C23 ◁ C2×#536

Complements

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

NH ≅ G/Ntype
1. #13082815C2direct (N × H)
2. C2×#10623177C2semidirect
3. C2×#10623266C2semidirect
4. C2×#10623178C2semidirect
5. C2×#10623215C2semidirect
6. C2×#10623261C2semidirect
7. C2×#10623167C2semidirect
8. C2×#10623181C2semidirect
9. C2×#10623062C2semidirect
10. C2×#10623210C2semidirect
11. C2×#10623168C2semidirect
12. C2×#10623058C2semidirect
13. C2×#10623189C2semidirect
14. C2×#10623355C2semidirect
15. C2×#10623186C2semidirect
16. C2×#10623185C2semidirect
17. C2×#10623360C2semidirect
18. C2×#10623260C2semidirect
19. C2×#10623165C2semidirect
20. C2×#10623264C2semidirect
21. C2×#10623200C2semidirect
22. C2×#10623176C2semidirect
23. C2×#10623169C2semidirect
24. C2×#10623169C2semidirect
25. C2×#10623196C2semidirect
26. C2×#10623196C2semidirect
27. C2×#10623209C2semidirect
28. C2×#10623347C2semidirect
29. C2×#10623187C2semidirect
30. C2×D11×#123C2semidirect
31. C22×#66999C2semidirect
32. C2×C11×#536C2semidirect
34. C23×Q8×C11C22semidirect
35. C22×#4341C22semidirect
39. C11×#536C22semidirect
40. C2×C11×C4⋊Q8C22semidirect
41. C2×C11×C4⋊Q8C22semidirect
42. C2×C11×#124C22semidirect
43. C2×C11×#124C22semidirect
46. C2×C11×#123C22semidirect
47. C2×C11×#123C22semidirect
48. C2×C11×C22⋊Q8C22semidirect
49. C2×C11×C22⋊Q8C22semidirect
50. C2×C11×C22⋊Q8C22semidirect
51. C2×C11×C22⋊Q8C22semidirect
52. C2×C11×#117C22semidirect
53. #10623360C22semidirect
54. #10623355C22semidirect
55. #10623347C22semidirect
57. C2×#67000C22semidirect
58. C2×#67000C22semidirect
64. C2×#66999C22semidirect
65. C2×#66999C22semidirect
66. C2×#66999C22semidirect
67. C2×#66999C22semidirect
68. C2×#66999C22semidirect
69. C2×#66999C22semidirect
70. C2×#66999C22semidirect
71. C2×#66999C22semidirect
72. C2×#66999C22semidirect
73. C2×#66999C22semidirect
74. C2×#66997C22semidirect
75. C2×#66997C22semidirect
76. C2×#66997C22semidirect
80. C2×#66992C22semidirect
84. C2×#66988C22semidirect
86. C2×D4×Dic11C22semidirect
91. C2×#66982C22semidirect
92. C2×#66982C22semidirect
93. C2×#66982C22semidirect
95. C2×C4×C22⋊D11C22semidirect
99. C2×#66979C22semidirect
100. C22×C4⋊Dic11C22semidirect
101. C2×#66977C22semidirect
102. C22×Dic11⋊C4C22semidirect
103. C22×Dic11⋊C4C22semidirect
104. C22×Dic11⋊C4C22semidirect
105. #10623266C22semidirect
106. #10623264C22semidirect
107. #10623261C22semidirect
108. #10623260C22semidirect
109. #10623215C22semidirect
110. #10623210C22semidirect
111. #10623209C22semidirect
112. #10623200C22semidirect
113. #10623196C22semidirect
114. #10623196C22semidirect
115. #10623189C22semidirect
116. #10623187C22semidirect
117. #10623186C22semidirect
118. #10623185C22semidirect
119. D11×#123C22semidirect
120. #10623181C22semidirect
121. #10623178C22semidirect
122. #10623177C22semidirect
123. #10623176C22semidirect
124. #10623169C22semidirect
125. #10623169C22semidirect
126. #10623168C22semidirect
127. #10623167C22semidirect
128. #10623165C22semidirect
129. #10623062C22semidirect
130. #10623058C22semidirect
131. C2×#66951C22semidirect
132. C2×#66951C22semidirect
133. C2×#66951C22semidirect
134. C2×#66951C22semidirect
135. C2×#66951C22semidirect
136. C2×#66951C22semidirect
138. C2×#66950C22semidirect
139. C2×#66950C22semidirect
143. C2×#66949C22semidirect
144. C2×#66949C22semidirect
145. C2×#66949C22semidirect
151. C2×#66947C22semidirect
152. C2×#66947C22semidirect
155. C2×#66946C22semidirect
159. C2×C4⋊C4×D11C22semidirect
160. C2×#66943C22semidirect
161. C2×#66943C22semidirect
162. C2×#66943C22semidirect
163. C2×#66942C22semidirect
164. C2×#66942C22semidirect
165. C2×#66942C22semidirect
166. C2×#66942C22semidirect
167. C2×#66942C22semidirect
168. C2×#66942C22semidirect
169. C2×#66941C22semidirect
170. C2×#66940C22semidirect
172. C2×#66939C22semidirect
173. C2×#66939C22semidirect
174. C2×#66939C22semidirect
176. C2×#66938C22semidirect
179. C2×#66937C22semidirect
180. C2×#66937C22semidirect
184. C2×#66936C22semidirect
185. C2×#66936C22semidirect
186. C2×#66936C22semidirect
192. C2×(C22⋊D11)⋊C4C22semidirect
193. C2×(C22⋊D11)⋊C4C22semidirect
194. C2×(C22⋊D11)⋊C4C22semidirect
199. C2×#66932C22semidirect
200. C2×#66932C22semidirect
201. C2×#66932C22semidirect
202. C2×#66932C22semidirect
203. C2×#66931C22semidirect
204. C2×#66931C22semidirect
205. C2×#66931C22semidirect
206. C2×#66931C22semidirect
207. C2×#66931C22semidirect
208. C2×#66931C22semidirect
209. C2×#66930C22semidirect
210. C2×#66930C22semidirect
211. C2×#66929C22semidirect
212. C2×#66929C22semidirect
213. C2×#66928C22semidirect
216. C2×#66925C22semidirect
217. C2×#66923C22semidirect
218. C2×C4×Dic22C22semidirect
229. C22×Q8×C11C23semidirect
253. C2×#4341C23semidirect
280. C11×C4⋊Q8C23semidirect
281. C11×C4⋊Q8C23semidirect
282. C11×#124C23semidirect
283. C11×#124C23semidirect
286. C11×#123C23semidirect
287. C11×#123C23semidirect
288. C11×C22⋊Q8C23semidirect
289. C11×C22⋊Q8C23semidirect
290. C11×C22⋊Q8C23semidirect
291. C11×C22⋊Q8C23semidirect
292. C11×#117C23semidirect
324. #67000C23semidirect
325. #67000C23semidirect
331. #66999C23semidirect
332. #66999C23semidirect
333. #66999C23semidirect
334. #66999C23semidirect
335. #66999C23semidirect
336. #66999C23semidirect
337. #66999C23semidirect
338. #66999C23semidirect
339. #66999C23semidirect
340. #66997C23semidirect
341. #66997C23semidirect
342. #66997C23semidirect
346. #66992C23semidirect
350. #66988C23semidirect
352. D4×Dic11C23semidirect
357. #66982C23semidirect
358. #66982C23semidirect
359. #66982C23semidirect
361. C4×C22⋊D11C23semidirect
393. #66979C23semidirect
406. C2×C4⋊Dic11C23semidirect
407. #66977C23semidirect
436. C2×Dic11⋊C4C23semidirect
437. C2×Dic11⋊C4C23semidirect
438. C2×Dic11⋊C4C23semidirect
447. #66951C23semidirect
448. #66951C23semidirect
449. #66951C23semidirect
450. #66951C23semidirect
451. #66951C23semidirect
452. #66951C23semidirect
454. #66950C23semidirect
455. #66950C23semidirect
459. #66949C23semidirect
460. #66949C23semidirect
461. #66949C23semidirect
467. #66947C23semidirect
468. #66947C23semidirect
471. #66946C23semidirect
475. C4⋊C4×D11C23semidirect
476. #66943C23semidirect
477. #66943C23semidirect
478. #66943C23semidirect
479. #66942C23semidirect
480. #66942C23semidirect
481. #66942C23semidirect
482. #66942C23semidirect
483. #66942C23semidirect
484. #66942C23semidirect
485. #66941C23semidirect
486. #66940C23semidirect
488. #66939C23semidirect
489. #66939C23semidirect
490. #66939C23semidirect
492. #66938C23semidirect
495. #66937C23semidirect
496. #66937C23semidirect
500. #66936C23semidirect
501. #66936C23semidirect
502. #66936C23semidirect
508. (C22⋊D11)⋊C4C23semidirect
509. (C22⋊D11)⋊C4C23semidirect
510. (C22⋊D11)⋊C4C23semidirect
515. #66932C23semidirect
516. #66932C23semidirect
517. #66932C23semidirect
518. #66932C23semidirect
519. #66931C23semidirect
520. #66931C23semidirect
521. #66931C23semidirect
522. #66931C23semidirect
523. #66931C23semidirect
524. #66931C23semidirect
525. #66930C23semidirect
526. #66930C23semidirect
527. #66929C23semidirect
528. #66929C23semidirect
529. #66928C23semidirect
532. #66925C23semidirect
533. #66923C23semidirect
534. C4×Dic22C23semidirect
809. C2×#536D11semidirect
948. C23×Q8C2×D11semidirect
978. #536C2×D11semidirect
983. C2×C4⋊Q8C2×D11semidirect
984. C2×C4⋊Q8C2×D11semidirect
1013. C2×#124C2×D11semidirect
1014. C2×#124C2×D11semidirect
1043. C2×#123C2×D11semidirect
1044. C2×#123C2×D11semidirect
1076. C2×C22⋊Q8C2×D11semidirect
1077. C2×C22⋊Q8C2×D11semidirect
1078. C2×C22⋊Q8C2×D11semidirect
1079. C2×C22⋊Q8C2×D11semidirect
1116. C2×#117C2×D11semidirect
1207. C22×Q8C22×D11semidirect
1254. C4⋊Q8C22×D11semidirect
1255. C4⋊Q8C22×D11semidirect
1284. #124C22×D11semidirect
1285. #124C22×D11semidirect
1312. #123C22×D11semidirect
1313. #123C22×D11semidirect
1344. C22⋊Q8C22×D11semidirect
1345. C22⋊Q8C22×D11semidirect
1346. C22⋊Q8C22×D11semidirect
1347. C22⋊Q8C22×D11semidirect
1384. #117C22×D11semidirect
1508. C2×C11#3535semidirect
1761. C11C2×#3535semidirect
1959. C2#13082815direct (N × H)

Maximal subgroups

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

subgroupindex
#130828152
C2×#106231772
C2×#106232662
C2×#106231782
C2×#106232152
C2×#106232612
C2×#106231672
C2×#106231812
C2×#106230622
C2×#106232102
C2×#106231682
C2×#106230582
C2×#106231892
C2×#106233552
C2×#106231862
C2×#106231852
C2×#106233602
C2×#106232602
C2×#106231652
C2×#106232642
C2×#106232002
C2×#106231762
C2×#106231692
C2×#106231962
C2×#106232092
C2×#106233472
C2×#106231872
C2×D11×#1232
C22×#669992
C2×C11×#5362
C2×#353511