Finite Group Databasebeta

← C2×#13082542 #15661732

Subgroups — C2×#13082542 #15661732

Order 2816.

8082 conjugacy classes of subgroups.

The subgroup lattice has 2064 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#13082542C2132yesmaximal, direct product factor
2C2×#10623090C211yesmaximal, characteristic, complemented
3C2×#10623167C211yesmaximal, characteristic, complemented
4C2×#10623089C211yesmaximal, characteristic, complemented
5C2×#10623071C211yesmaximal, characteristic, complemented
6C2×#10623132C211yesmaximal, characteristic, complemented
7C2×#10623062C211yesmaximal, characteristic, complemented
8C2×#10623118C211yesmaximal, characteristic, complemented
9C2×#10623087C211yesmaximal, characteristic, complemented
10C2×#10623168C211yesmaximal, characteristic, complemented
11C2×#10623058C211yesmaximal, characteristic, complemented
12C2×#10623355C211yesmaximal, characteristic, complemented
13C2×#10623141C211yesmaximal, characteristic, complemented
14C2×#10623360C211yesmaximal, characteristic, complemented
15C2×#10623122C211yesmaximal, characteristic, complemented
16C2×#10623122C211yesmaximal, characteristic, complemented
17C2×#10623121C211yesmaximal, characteristic, complemented
18C2×#10623171C211yesmaximal, characteristic, complemented
19C2×#10623146C211yesmaximal, characteristic, complemented
20C2×#10623169C211yesmaximal, characteristic, complemented
21C2×#10623095C211yesmaximal, characteristic, complemented
22C2×#10623091C211yesmaximal, characteristic, complemented
23C2×#10623144C211yesmaximal, characteristic, complemented
24C2×#10623180C211yesmaximal, characteristic, complemented
25C2×#10623180C211yesmaximal, characteristic, complemented
26C2×#10623187C211yesmaximal, characteristic, complemented
27C22×#66982C211yesmaximal, characteristic, complemented
28C2×D11×#123C211yesmaximal, characteristic, complemented
29C2×#10623077C211yesmaximal, characteristic, complemented
30C2×#10623076C211yesmaximal, characteristic, complemented
31C22×C4×C22⋊D11C211yesmaximal, characteristic, complemented
32C2×C11×#525C211yesmaximal, characteristic, complemented
33C22×C11×#41C2211yescharacteristic, complemented
34C24×C4×C11C2211yescharacteristic, complemented
35C23×C22⋊D11C2211yescharacteristic
36C23×C22⋊D11C2211yescharacteristic
37C22×#4341C2211yescharacteristic
38C22×#4341C2211yescharacteristic, complemented
39C22×D4×D11C2211yescharacteristic
40C22×D4×D11C2211yescharacteristic
41C23×C4×D11C2211yescharacteristic, complemented
42C11×#525C22116yescomplemented
43C2×C11×#123C2211yescharacteristic, complemented
44C2×C11×#123C2211yescharacteristic, complemented
45C2×C11×C22⋊Q8C2211yescharacteristic, complemented
46C2×C11×C22⋊Q8C2211yescharacteristic, complemented
47C2×C11×#121C2211yescharacteristic, complemented
48C2×C11×#121C2211yescharacteristic, complemented
49C2×C11×#120C2211yescharacteristic
50C2×C11×#120C2211yescharacteristic, complemented
51C2×C4×D4×C11C2211yescharacteristic, complemented
52C2×C4×D4×C11C2211yescharacteristic, complemented
53C2×C4×D4×C11C2211yescharacteristic, complemented
54C2×C4×D4×C11C2211yescharacteristic, complemented
55C2×C11×#117C2211yescharacteristic, complemented
56C22×C22⋊Dic11C2211yescharacteristic, complemented
57C22×C22⋊Dic11C2211yescharacteristic, complemented
58#10623360C22116yescomplemented
59#10623355C22116yescomplemented
60C2×#67000C2211yescharacteristic, complemented
61C2×#66999C2211yescharacteristic, complemented
62C2×#66999C2211yescharacteristic, complemented
63C2×#66997C2211yescharacteristic, complemented
64C2×#66993C2211yescharacteristic
65C2×#66992C2211yescharacteristic
66C2×#66992C2211yescharacteristic
67C2×#66992C2211yescharacteristic
68C2×#66992C2211yescharacteristic, complemented
69C2×#66992C2211yescharacteristic, complemented
70C2×#66992C2211yescharacteristic, complemented
71C2×#66992C2211yescharacteristic, complemented
72C2×#66992C2211yescharacteristic, complemented
73C2×#66991C2211yescharacteristic, complemented
74C2×#66991C2211yescharacteristic, complemented
75C2×#66990C2211yescharacteristic
76C2×#66990C2211yescharacteristic, complemented
77C2×#66990C2211yescharacteristic, complemented
78C2×#66990C2211yescharacteristic, complemented
79C2×#66989C2211yescharacteristic, complemented
80C2×#66988C2211yescharacteristic, complemented
81C2×#66988C2211yescharacteristic, complemented
82C2×#66988C2211yescharacteristic, complemented
83C2×#66988C2211yescharacteristic, complemented
84C2×D4×Dic11C2211yescharacteristic, complemented
85C2×D4×Dic11C2211yescharacteristic, complemented
86C2×D4×Dic11C2211yescharacteristic, complemented
87C2×D4×Dic11C2211yescharacteristic, complemented
88C2×#66983C2211yescharacteristic, complemented
89C2×#66982C2211yescharacteristic
90C2×#66982C2211yescharacteristic
91C2×#66982C2211yescharacteristic, complemented
92C2×#66982C2211yescharacteristic, complemented
93C2×#66982C2211yescharacteristic, complemented
94C2×#66982C2211yescharacteristic, complemented
95C2×#66982C2211yescharacteristic, complemented
96C2×#66982C2211yescharacteristic, complemented
97C2×#66982C2211yescharacteristic, complemented
98C2×#66982C2211yescharacteristic, complemented
99C2×#66982C22116yescomplemented
100C2×C4×C22⋊D11C2211yescharacteristic
101C2×C4×C22⋊D11C2211yescharacteristic
102C2×C4×C22⋊D11C2211yescharacteristic, complemented
103C2×C4×C22⋊D11C2211yescharacteristic, complemented
104C2×C4×C22⋊D11C2211yescharacteristic, complemented
105C2×C4×C22⋊D11C2211yescharacteristic, complemented
106C2×C4×C22⋊D11C2211yescharacteristic, complemented
107C2×C4×C22⋊D11C2211yescharacteristic, complemented
108C2×C4×C22⋊D11C2211yescharacteristic, complemented
109C2×C4×C22⋊D11C2211yescharacteristic, complemented
110C2×C4×C22⋊D11C22116yescomplemented
111C22×(C2×D11)⋊C4C2211yescharacteristic, complemented
112C22×(C2×D11)⋊C4C2211yescharacteristic, complemented
113C22×(C2×D11)⋊C4C2211yescharacteristic, complemented
114C22×(C2×D11)⋊C4C2211yescharacteristic, complemented
115C2×#66977C2211yescharacteristic, complemented
116C22×Dic11⋊C4C2211yescharacteristic, complemented
117C22×Dic11⋊C4C2211yescharacteristic, complemented
118C22×Dic11⋊C4C2211yescharacteristic, complemented
119C22×Dic11⋊C4C2211yescharacteristic, complemented
120C22×C4×Dic11C2211yescharacteristic, complemented
121#10623187C22116yescomplemented
122D11×#123C22116yescomplemented
123#10623180C22116yescomplemented
124#10623180C22116yescomplemented
125#10623171C22116yescomplemented
126#10623169C22116yescomplemented
127#10623168C22116yescomplemented
128#10623167C22116yescomplemented
129#10623146C22116yescomplemented
130#10623144C22116yescomplemented
131#10623141C22116yescomplemented
132#10623132C22116yescomplemented
133#10623122C22116yescomplemented
134#10623122C22116yescomplemented
135#10623121C22116yescomplemented
136#10623118C22116yescomplemented
137#10623095C22116yescomplemented
138#10623091C22116yescomplemented
139#10623090C22116yescomplemented
140#10623089C22116yescomplemented
141#10623087C22116yescomplemented
142#10623077C22116yescomplemented
143#10623076C22116yescomplemented
144#10623071C22116yescomplemented
145#10623062C22116yescomplemented
146#10623058C22116yescomplemented
147C2×#66951C2211yescharacteristic, complemented
148C2×#66951C2211yescharacteristic, complemented
149C2×#66951C2211yescharacteristic, complemented
150C2×#66951C2211yescharacteristic, complemented
151C2×#66949C2211yescharacteristic, complemented
152C2×#66949C2211yescharacteristic, complemented
153C2×#66949C2211yescharacteristic, complemented
154C2×#66949C2211yescharacteristic, complemented
155C2×#66947C2211yescharacteristic, complemented
156C2×#66947C2211yescharacteristic, complemented
157C2×#66947C2211yescharacteristic, complemented
158C2×#66947C2211yescharacteristic, complemented
159C2×#66946C2211yescharacteristic, complemented
160C2×#66946C2211yescharacteristic, complemented
161C2×#66945C2211yescharacteristic, complemented
162C2×#66945C2211yescharacteristic, complemented
163C2×C4⋊C4×D11C2211yescharacteristic, complemented
164C2×C4⋊C4×D11C2211yescharacteristic, complemented
165C2×#66942C2211yescharacteristic, complemented
166C2×#66942C2211yescharacteristic, complemented
167C2×#66942C2211yescharacteristic, complemented
168C2×#66942C2211yescharacteristic, complemented
169C2×#66940C2211yescharacteristic, complemented
170C2×#66940C2211yescharacteristic, complemented
171C2×#66939C2211yescharacteristic
172C2×#66939C2211yescharacteristic, complemented
173C2×#66938C2211yescharacteristic, complemented
174C2×#66938C2211yescharacteristic, complemented
175C2×#66938C2211yescharacteristic, complemented
176C2×#66938C2211yescharacteristic, complemented
177C2×#66937C2211yescharacteristic
178C2×#66937C2211yescharacteristic
179C2×#66937C2211yescharacteristic, complemented
180C2×#66937C2211yescharacteristic, complemented
181C2×#66936C2211yescharacteristic, complemented
182C2×#66936C2211yescharacteristic, complemented
183C2×#66936C2211yescharacteristic, complemented
184C2×#66936C2211yescharacteristic, complemented
185C2×#66935C2211yescharacteristic
186C2×#66935C2211yescharacteristic
187C2×(C22⋊D11)⋊C4C2211yescharacteristic
188C2×(C22⋊D11)⋊C4C2211yescharacteristic
189C2×(C22⋊D11)⋊C4C2211yescharacteristic
190C2×(C22⋊D11)⋊C4C2211yescharacteristic, complemented
191C2×(C22⋊D11)⋊C4C2211yescharacteristic, complemented
192C2×(C22⋊D11)⋊C4C2211yescharacteristic, complemented
193C2×(C22⋊D11)⋊C4C2211yescharacteristic, complemented
194C2×(C22⋊D11)⋊C4C2211yescharacteristic, complemented
195C2×C22⋊C4×D11C2211yescharacteristic, complemented
196C2×C22⋊C4×D11C2211yescharacteristic, complemented
197C2×C22⋊C4×D11C2211yescharacteristic, complemented
198C2×C22⋊C4×D11C2211yescharacteristic, complemented
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×#66930C2211yescharacteristic, complemented
208C2×#66930C2211yescharacteristic, complemented
209C2×#66930C2211yescharacteristic, complemented
210C2×#66930C2211yescharacteristic, complemented
211C2×#66929C2211yescharacteristic, complemented
212C2×#66929C2211yescharacteristic, complemented
213C2×#66928C2211yescharacteristic, complemented
214C2×C4×D44C2211yescharacteristic, complemented
215C2×#66925C2211yescharacteristic, complemented
216C2×#66925C2211yescharacteristic, complemented
217C2×#66923C2211yescharacteristic, complemented
218C2×C4×Dic22C2211yescharacteristic, complemented
219C25×C11C2311yescharacteristic
220C24×D11C2311yescharacteristic
221C24×D11C2311yescharacteristic
222C24×D11C2311yescharacteristic
223C2×C11×#41—44no—
224C2×C11×#41C2318yescomplemented
225C22×Q8×C11C2311yescharacteristic
226C22×D4×C11C2311yescharacteristic
227C22×D4×C11C2311yescharacteristic
228C22×D4×C11C2311yescharacteristic
229C22×D4×C11C2311yescharacteristic
230C22×D4×C11C2311yescharacteristic
231C22×D4×C11C2311yescharacteristic
232C22×D4×C11C2311yescharacteristic
233C23×C4×C11—44no—
234C23×C4×C11C2311yescharacteristic
235C23×C4×C11C2311yescharacteristic
236C23×C4×C11C2311yescharacteristic
237C23×C4×C11C2311yescharacteristic
238C23×C4×C11C2311yescharacteristic
239C23×C4×C11C2311yescharacteristic
240C23×C4×C11C2311yescharacteristic
241C23×C4×C11C2311yescharacteristic
242C23×C4×C11C2318yescomplemented
243C22×C22⋊D11—28no—
244C22×C22⋊D11—44no—
245C22×C22⋊D11C2311yescharacteristic
246C22×C22⋊D11C2311yescharacteristic
247C22×C22⋊D11C2311yescharacteristic
248C22×C22⋊D11C2311yescharacteristic
249C22×C22⋊D11C2311yescharacteristic
250C22×C22⋊D11C2311yescharacteristic
251C22×C22⋊D11C2311yescharacteristic
252C22×C22⋊D11C2318yes—
253C22×C22⋊D11C2311yescharacteristic
254C22×C22⋊D11C2311yescharacteristic
255C22×C22⋊D11C2311yescharacteristic
256C22×C22⋊D11C2311yescharacteristic
257C22×C22⋊D11C2311yescharacteristic
258C22×C22⋊D11C2311yescharacteristic
259C22×C22⋊D11C2318yes—
260C22×C22⋊D11C2311yescharacteristic
261C23×Dic11C2311yescharacteristic
262C23×Dic11C2311yescharacteristic
263C23×Dic11C2311yescharacteristic
264C23×Dic11C2311yescharacteristic
265C23×Dic11C2311yescharacteristic
266C23×Dic11C2311yescharacteristic
267C23×Dic11C2311yescharacteristic
268C23×Dic11C2311yescharacteristic
269C23×Dic11C2311yescharacteristic
270C2×#4341—28no—
271C2×#4341—44no—
272C2×#4341C2318yes—
273C2×#4341C2318yescomplemented
274C2×D4×D11—28no—
275C2×D4×D11—44no—
276C2×D4×D11C2318yes—
277C2×D4×D11C2318yes—
278C22×D44C2311yescharacteristic
279C22×D44C2311yescharacteristic
280C22×D44C2311yescharacteristic
281C22×C4×D11—44no—
282C22×C4×D11C2311yescharacteristic
283C22×C4×D11C2311yescharacteristic
284C22×C4×D11C2311yescharacteristic
285C22×C4×D11C2311yescharacteristic
286C22×C4×D11C2311yescharacteristic
287C22×C4×D11C2311yescharacteristic
288C22×C4×D11C2311yescharacteristic
289C22×C4×D11C2311yescharacteristic
290C22×C4×D11C2311yescharacteristic
291C22×C4×D11C2311yescharacteristic
292C22×C4×D11C2318yescomplemented
293C22×Dic22C2311yescharacteristic
294C22×Dic22C2311yescharacteristic
295C22×Dic22C2311yescharacteristic
296C11×#123C2318yescomplemented
297C11×#123C2318yescomplemented
298C11×C22⋊Q8C2318yescomplemented
299C11×C22⋊Q8C2318yescomplemented
300C11×#121C2318yescomplemented
301C11×#121C2318yescomplemented
302C11×#120C2318yes—
303C11×#120C2318yescomplemented
304C4×D4×C11C2318yescomplemented
305C4×D4×C11C2318yescomplemented
306C4×D4×C11C2318yescomplemented
307C4×D4×C11C2318yescomplemented
308C11×#117C2318yescomplemented
309C2×C11×C4⋊C4C2311yescharacteristic
310C2×C11×C4⋊C4C2311yescharacteristic
311C2×C11×C4⋊C4C2311yescharacteristic
312C2×C11×C4⋊C4C2311yescharacteristic
313C2×C11×C4⋊C4C2311yescharacteristic
314C2×C11×C4⋊C4C2311yescharacteristic
315C2×C11×C22⋊C4C2311yescharacteristic
316C2×C11×C22⋊C4C2311yescharacteristic
317C2×C11×C22⋊C4C2311yescharacteristic
318C2×C11×C22⋊C4C2311yescharacteristic
319C2×C11×C22⋊C4C2311yescharacteristic
320C2×C11×C22⋊C4C2311yescharacteristic
321C2×C11×C22⋊C4C2311yescharacteristic
322C2×C11×C22⋊C4C2311yescharacteristic
323C2×C11×C22⋊C4C2311yescharacteristic
324C2×C11×C22⋊C4C2311yescharacteristic
325C2×C42×C11C2311yescharacteristic
326C2×C42×C11C2311yescharacteristic
327C2×C22⋊Dic11C2311yescharacteristic
328C2×C22⋊Dic11C2311yescharacteristic
329C2×C22⋊Dic11C2311yescharacteristic
330C2×C22⋊Dic11C2311yescharacteristic
331C2×C22⋊Dic11C2311yescharacteristic
332C2×C22⋊Dic11C2311yescharacteristic
333C2×C22⋊Dic11C2311yescharacteristic
334C2×C22⋊Dic11C2311yescharacteristic
335C2×C22⋊Dic11C2311yescharacteristic
336C2×C22⋊Dic11C2311yescharacteristic
337C2×C22⋊Dic11C2311yescharacteristic
338C2×C22⋊Dic11C2311yescharacteristic
339C2×C22⋊Dic11C2311yescharacteristic
340C2×C22⋊Dic11C2311yescharacteristic
341C2×C22⋊Dic11C2318yescomplemented
342C2×C22⋊Dic11C2318yescomplemented
343#67000C2318yescomplemented
344#66999C2318yescomplemented
345#66999C2318yescomplemented
346#66997C2318yescomplemented
347#66993C2318yes—
348#66992C2318yes—
349#66992C2318yes—
350#66992C2318yes—
351#66992C2318yescomplemented
352#66992C2318yescomplemented
353#66992C2318yescomplemented
354#66992C2318yescomplemented
355#66992C2318yescomplemented
356#66991C2318yescomplemented
357#66991C2318yescomplemented
358#66990C2318yes—
359#66990C2318yescomplemented
360#66990C2318yescomplemented
361#66990C2318yescomplemented
362#66989C2318yescomplemented
363#66988C2318yescomplemented
364#66988C2318yescomplemented
365#66988C2318yescomplemented
366#66988C2318yescomplemented
367D4×Dic11C2318yescomplemented
368D4×Dic11C2318yescomplemented
369D4×Dic11C2318yescomplemented
370D4×Dic11C2318yescomplemented
371#66983C2318yescomplemented
372#66982C2318yes—
373#66982C2318yes—
374#66982C2318yescomplemented
375#66982C2318yescomplemented
376#66982C2318yescomplemented
377#66982C2318yescomplemented
378#66982C2318yescomplemented
379#66982C2318yescomplemented
380#66982C2318yescomplemented
381#66982C2318yescomplemented
382C4×C22⋊D11C2318yes—
383C4×C22⋊D11C2318yes—
384C4×C22⋊D11C2318yescomplemented
385C4×C22⋊D11C2318yescomplemented
386C4×C22⋊D11C2318yescomplemented
387C4×C22⋊D11C2318yescomplemented
388C4×C22⋊D11C2318yescomplemented
389C4×C22⋊D11C2318yescomplemented
390C4×C22⋊D11C2318yescomplemented
391C4×C22⋊D11C2318yescomplemented
392C2×(C2×D11)⋊C4C2311yescharacteristic
393C2×(C2×D11)⋊C4C2311yescharacteristic
394C2×(C2×D11)⋊C4C2311yescharacteristic
395C2×(C2×D11)⋊C4C2311yescharacteristic
396C2×(C2×D11)⋊C4C2311yescharacteristic
397C2×(C2×D11)⋊C4C2311yescharacteristic
398C2×(C2×D11)⋊C4C2311yescharacteristic
399C2×(C2×D11)⋊C4C2311yescharacteristic
400C2×(C2×D11)⋊C4C2311yescharacteristic
401C2×(C2×D11)⋊C4C2311yescharacteristic
402C2×(C2×D11)⋊C4C2311yescharacteristic
403C2×(C2×D11)⋊C4C2311yescharacteristic
404C2×(C2×D11)⋊C4C2311yescharacteristic
405C2×(C2×D11)⋊C4C2311yescharacteristic
406C2×(C2×D11)⋊C4C2311yescharacteristic
407C2×(C2×D11)⋊C4C2311yescharacteristic
408C2×(C2×D11)⋊C4C2311yescharacteristic
409C2×(C2×D11)⋊C4C2311yescharacteristic
410C2×(C2×D11)⋊C4C2311yescharacteristic
411C2×(C2×D11)⋊C4C2311yescharacteristic
412C2×(C2×D11)⋊C4C2311yescharacteristic
413C2×(C2×D11)⋊C4C2311yescharacteristic
414C2×(C2×D11)⋊C4C2311yescharacteristic
415C2×(C2×D11)⋊C4C2311yescharacteristic
416C2×(C2×D11)⋊C4C2318yescomplemented
417C2×(C2×D11)⋊C4C2318yescomplemented
418C2×(C2×D11)⋊C4C2318yescomplemented
419C2×(C2×D11)⋊C4C2318yescomplemented
420C2×C4⋊Dic11C2311yescharacteristic
421C2×C4⋊Dic11C2311yescharacteristic
422C2×C4⋊Dic11C2311yescharacteristic
423C2×C4⋊Dic11C2311yescharacteristic
424C2×C4⋊Dic11C2311yescharacteristic
425C2×C4⋊Dic11C2311yescharacteristic
426#66977C2318yescomplemented
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⋊C4C2311yescharacteristic
437C2×Dic11⋊C4C2311yescharacteristic
438C2×Dic11⋊C4C2311yescharacteristic
439C2×Dic11⋊C4C2311yescharacteristic
440C2×Dic11⋊C4C2311yescharacteristic
441C2×Dic11⋊C4C2311yescharacteristic
442C2×Dic11⋊C4C2311yescharacteristic
443C2×Dic11⋊C4C2311yescharacteristic
444C2×Dic11⋊C4C2311yescharacteristic
445C2×Dic11⋊C4C2311yescharacteristic
446C2×Dic11⋊C4C2311yescharacteristic
447C2×Dic11⋊C4C2311yescharacteristic
448C2×Dic11⋊C4C2311yescharacteristic
449C2×Dic11⋊C4C2311yescharacteristic
450C2×Dic11⋊C4C2311yescharacteristic
451C2×Dic11⋊C4C2318yescomplemented
452C2×Dic11⋊C4C2318yescomplemented
453C2×Dic11⋊C4C2318yescomplemented
454C2×Dic11⋊C4C2318yescomplemented
455C2×C4×Dic11C2311yescharacteristic
456C2×C4×Dic11C2311yescharacteristic
457C2×C4×Dic11C2311yescharacteristic
458C2×C4×Dic11C2311yescharacteristic
459C2×C4×Dic11C2311yescharacteristic
460C2×C4×Dic11C2311yescharacteristic
461C2×C4×Dic11C2311yescharacteristic
462C2×C4×Dic11C2311yescharacteristic
463C2×C4×Dic11C2311yescharacteristic
464C2×C4×Dic11C2311yescharacteristic
465C2×C4×Dic11C2318yescomplemented
466#66951C2318yescomplemented
467#66951C2318yescomplemented
468#66951C2318yescomplemented
469#66951C2318yescomplemented
470#66949C2318yescomplemented
471#66949C2318yescomplemented
472#66949C2318yescomplemented
473#66949C2318yescomplemented
474#66947C2318yescomplemented
475#66947C2318yescomplemented
476#66947C2318yescomplemented
477#66947C2318yescomplemented
478#66946C2318yescomplemented
479#66946C2318yescomplemented
480#66945C2318yescomplemented
481#66945C2318yescomplemented
482C4⋊C4×D11C2318yescomplemented
483C4⋊C4×D11C2318yescomplemented
484#66942C2318yescomplemented
485#66942C2318yescomplemented
486#66942C2318yescomplemented
487#66942C2318yescomplemented
488#66940C2318yescomplemented
489#66940C2318yescomplemented
490#66939C2318yes—
491#66939C2318yescomplemented
492#66938C2318yescomplemented
493#66938C2318yescomplemented
494#66938C2318yescomplemented
495#66938C2318yescomplemented
496#66937C2318yes—
497#66937C2318yes—
498#66937C2318yescomplemented
499#66937C2318yescomplemented
500#66936C2318yescomplemented
501#66936C2318yescomplemented
502#66936C2318yescomplemented
503#66936C2318yescomplemented
504#66935C2318yes—
505#66935C2318yes—
506(C22⋊D11)⋊C4C2318yes—
507(C22⋊D11)⋊C4C2318yes—
508(C22⋊D11)⋊C4C2318yes—
509(C22⋊D11)⋊C4C2318yescomplemented
510(C22⋊D11)⋊C4C2318yescomplemented
511(C22⋊D11)⋊C4C2318yescomplemented
512(C22⋊D11)⋊C4C2318yescomplemented
513(C22⋊D11)⋊C4C2318yescomplemented
514C22⋊C4×D11C2318yescomplemented
515C22⋊C4×D11C2318yescomplemented
516C22⋊C4×D11C2318yescomplemented
517C22⋊C4×D11C2318yescomplemented
518#66932C2318yescomplemented
519#66932C2318yescomplemented
520#66932C2318yescomplemented
521#66932C2318yescomplemented
522#66931C2318yescomplemented
523#66931C2318yescomplemented
524#66931C2318yescomplemented
525#66931C2318yescomplemented
526#66930C2318yescomplemented
527#66930C2318yescomplemented
528#66930C2318yescomplemented
529#66930C2318yescomplemented
530#66929C2318yescomplemented
531#66929C2318yescomplemented
532#66928C2318yescomplemented
533C4×D44C2318yescomplemented
534#66925C2318yescomplemented
535#66925C2318yescomplemented
536#66923C2318yescomplemented
537C4×Dic22C2318yescomplemented
538C2×#3513—111nomaximal, Sylow
539C24×C11—24no—
540C24×C11—24no—
541C24×C11—42no—
542C24×C11C2411yescharacteristic
543C24×C11C2411yescharacteristic
544C24×C11C2411yescharacteristic
545C24×C11C2414yes—
546C24×C11C2411yescharacteristic
547C24×C11C2411yescharacteristic
548C23×D11—24no—
549C23×D11—24no—
550C23×D11—24no—
551C23×D11—24no—
552C23×D11—42no—
553C23×D11—42no—
554C23×D11—42no—
555C23×D11—42no—
556C23×D11—42no—
557C23×D11C2411yescharacteristic
558C23×D11C2411yescharacteristic
559C23×D11C2411yescharacteristic
560C23×D11C2414yes—
561C23×D11C2411yescharacteristic
562C23×D11C2414yes—
563C23×D11C2414yes—
564C11×#41—416no—
565C2×Q8×C11—42no—
566C2×Q8×C11C2414yes—
567C2×D4×C11—24no—
568C2×D4×C11—24no—
569C2×D4×C11—24no—
570C2×D4×C11—24no—
571C2×D4×C11—42no—
572C2×D4×C11—42no—
573C2×D4×C11—42no—
574C2×D4×C11C2414yes—
575C2×D4×C11C2414yes—
576C2×D4×C11C2414yes—
577C2×D4×C11C2414yes—
578C2×D4×C11C2414yes—
579C2×D4×C11C2414yes—
580C2×D4×C11C2414yes—
581C22×C4×C11—24no—
582C22×C4×C11—24no—
583C22×C4×C11—42no—
584C22×C4×C11—42no—
585C22×C4×C11—42no—
586C22×C4×C11—42no—
587C22×C4×C11—416no—
588C22×C4×C11—42no—
589C22×C4×C11—42no—
590C22×C4×C11C2411yescharacteristic
591C22×C4×C11C2411yescharacteristic
592C22×C4×C11C2411yescharacteristic
593C22×C4×C11C2411yescharacteristic
594C22×C4×C11C2411yescharacteristic
595C22×C4×C11C2411yescharacteristic
596C22×C4×C11C2411yescharacteristic
597C22×C4×C11C2414yes—
598C22×C4×C11C2411yescharacteristic
599C22×C4×C11C2411yescharacteristic
600C22×C4×C11C2411yescharacteristic
601C22×C4×C11C2414yes—
602C22×C4×C11C2414yes—
603C22×C4×C11C2414yes—
604C22×C4×C11C2414yes—
605C22×C4×C11C2414yes—
606C22×C4×C11C2414yes—
607C22×C4×C11C2414yes—
608C2×C22⋊D11—232no—
609C2×C22⋊D11—24no—
610C2×C22⋊D11—24no—
611C2×C22⋊D11—24no—
612C2×C22⋊D11—24no—
613C2×C22⋊D11—24no—
614C2×C22⋊D11—24no—
615C2×C22⋊D11—24no—
616C2×C22⋊D11—42no—
617C2×C22⋊D11—42no—
618C2×C22⋊D11—42no—
619C2×C22⋊D11—42no—
620C2×C22⋊D11—42no—
621C2×C22⋊D11—42no—
622C2×C22⋊D11—416no—
623C2×C22⋊D11#4118yescomplemented
624C2×C22⋊D11C2414yes—
625C2×C22⋊D11C2414yes—
626C2×C22⋊D11C2414yes—
627C2×C22⋊D11C2414yes—
628C2×C22⋊D11C2414yes—
629C2×C22⋊D11C2414yes—
630C2×C22⋊D11C2414yes—
631C2×C22⋊D11C2414yes—
632C2×C22⋊D11C2414yes—
633C2×C22⋊D11C2414yes—
634C2×C22⋊D11C2414yes—
635C2×C22⋊D11C2414yes—
636C2×C22⋊D11C2414yes—
637C2×C22⋊D11C2414yes—
638C22×Dic11—24no—
639C22×Dic11—24no—
640C22×Dic11—24no—
641C22×Dic11—24no—
642C22×Dic11—42no—
643C22×Dic11—42no—
644C22×Dic11—42no—
645C22×Dic11—42no—
646C22×Dic11—42no—
647C22×Dic11C2414yes—
648C22×Dic11C2414yes—
649C22×Dic11C2414yes—
650C22×Dic11C2414yes—
651C22×Dic11C2411yescharacteristic
652C22×Dic11C2411yescharacteristic
653C22×Dic11C2411yescharacteristic
654C22×Dic11C2411yescharacteristic
655C22×Dic11C2411yescharacteristic
656C22×Dic11C2411yescharacteristic
657C22×Dic11C2411yescharacteristic
658C22×Dic11C2411yescharacteristic
659C22×Dic11C2411yescharacteristic
660C22×Dic11C2411yescharacteristic
661C22×Dic11C2411yescharacteristic
662C22×Dic11C2414yes—
663C22×Dic11C2414yes—
664C22×Dic11C2414yes—
665C22×Dic11C2414yes—
666C22×Dic11C2414yes—
667C22×Dic11C2411yescharacteristic
668#4341—232no—
669#4341—416no—
670D4×D11—232no—
671D4×D11—416no—
672C2×D44—24no—
673C2×D44—42no—
674C2×D44—42no—
675C2×D44C2414yes—
676C2×D44C2414yes—
677C2×D44C2414yes—
678C2×C4×D11—24no—
679C2×C4×D11—24no—
680C2×C4×D11—42no—
681C2×C4×D11—42no—
682C2×C4×D11—42no—
683C2×C4×D11—42no—
684C2×C4×D11—416no—
685C2×C4×D11—42no—
686C2×C4×D11—42no—
687C2×C4×D11—42no—
688C2×C4×D11—42no—
689C2×C4×D11C2414yes—
690C2×C4×D11C2414yes—
691C2×C4×D11C2414yes—
692C2×C4×D11C2414yes—
693C2×C4×D11C2414yes—
694C2×C4×D11C2414yes—
695C2×C4×D11C2414yes—
696C2×C4×D11C2414yes—
697C2×C4×D11C2414yes—
698C2×C4×D11C2414yes—
699C2×Dic22—24no—
700C2×Dic22—42no—
701C2×Dic22—42no—
702C2×Dic22C2414yes—
703C2×Dic22C2414yes—
704C2×Dic22C2414yes—
705C11×C4⋊C4C2414yes—
706C11×C4⋊C4C2414yes—
707C11×C4⋊C4C2414yes—
708C11×C4⋊C4C2414yes—
709C11×C4⋊C4C2414yes—
710C11×C4⋊C4C2414yes—
711C11×C22⋊C4C2414yes—
712C11×C22⋊C4C2414yes—
713C11×C22⋊C4C2414yes—
714C11×C22⋊C4C2414yes—
715C11×C22⋊C4C2414yes—
716C11×C22⋊C4C2414yes—
717C11×C22⋊C4C2414yes—
718C11×C22⋊C4C2414yes—
719C11×C22⋊C4C2414yes—
720C11×C22⋊C4C2414yes—
721C42×C11C2414yes—
722C42×C11C2414yes—
723C22⋊Dic11C2414yes—
724C22⋊Dic11C2414yes—
725C22⋊Dic11C2414yes—
726C22⋊Dic11C2414yes—
727C22⋊Dic11C2414yes—
728C22⋊Dic11C2414yes—
729C22⋊Dic11C2414yes—
730C22⋊Dic11C2414yes—
731C22⋊Dic11C2414yes—
732C22⋊Dic11C2414yes—
733C22⋊Dic11C2414yes—
734C22⋊Dic11C2414yes—
735C22⋊Dic11C2414yes—
736C22⋊Dic11C2414yes—
737(C2×D11)⋊C4C2414yes—
738(C2×D11)⋊C4C2414yes—
739(C2×D11)⋊C4C2414yes—
740(C2×D11)⋊C4C2414yes—
741(C2×D11)⋊C4C2414yes—
742(C2×D11)⋊C4C2414yes—
743(C2×D11)⋊C4C2414yes—
744(C2×D11)⋊C4C2414yes—
745(C2×D11)⋊C4C2414yes—
746(C2×D11)⋊C4C2414yes—
747(C2×D11)⋊C4C2414yes—
748(C2×D11)⋊C4C2414yes—
749(C2×D11)⋊C4C2414yes—
750(C2×D11)⋊C4C2414yes—
751(C2×D11)⋊C4C2414yes—
752(C2×D11)⋊C4C2414yes—
753(C2×D11)⋊C4C2414yes—
754(C2×D11)⋊C4C2414yes—
755(C2×D11)⋊C4C2414yes—
756(C2×D11)⋊C4C2414yes—
757(C2×D11)⋊C4C2414yes—
758(C2×D11)⋊C4C2414yes—
759(C2×D11)⋊C4C2414yes—
760(C2×D11)⋊C4C2414yes—
761C4⋊Dic11C2414yes—
762C4⋊Dic11C2414yes—
763C4⋊Dic11C2414yes—
764C4⋊Dic11C2414yes—
765C4⋊Dic11C2414yes—
766C4⋊Dic11C2414yes—
767Dic11⋊C4C2414yes—
768Dic11⋊C4C2414yes—
769Dic11⋊C4C2414yes—
770Dic11⋊C4C2414yes—
771Dic11⋊C4C2414yes—
772Dic11⋊C4C2414yes—
773Dic11⋊C4C2414yes—
774Dic11⋊C4C2414yes—
775Dic11⋊C4C2414yes—
776Dic11⋊C4C2414yes—
777Dic11⋊C4C2414yes—
778Dic11⋊C4C2414yes—
779Dic11⋊C4C2414yes—
780Dic11⋊C4C2414yes—
781Dic11⋊C4C2414yes—
782Dic11⋊C4C2414yes—
783Dic11⋊C4C2414yes—
784Dic11⋊C4C2414yes—
785Dic11⋊C4C2414yes—
786Dic11⋊C4C2414yes—
787Dic11⋊C4C2414yes—
788Dic11⋊C4C2414yes—
789Dic11⋊C4C2414yes—
790Dic11⋊C4C2414yes—
791C4×Dic11C2414yes—
792C4×Dic11C2414yes—
793C4×Dic11C2414yes—
794C4×Dic11C2414yes—
795C4×Dic11C2414yes—
796C4×Dic11C2414yes—
797C4×Dic11C2414yes—
798C4×Dic11C2414yes—
799C4×Dic11C2414yes—
800C4×Dic11C2414yes—
801#3513—1132no—
802C2×#559—111no—
803C2×#554—111no—
804C2×#553—111no—
805C2×#553—111no—
806C2×#553—111no—
807C2×#552—111no—
808C2×#551—111no—
809C2×#551—111no—
810C2×#551—111no—
811C2×#551—111no—
812C2×#547—111no—
813C2×#546—111no—
814C2×#546—111no—
815C2×#546—111no—
816C2×#546—111no—
817C2×D42—111no—
818C2×#542—111no—
819C2×#540—111no—
820C2×#539—111no—
821C2×#539—111no—
822C2×#538—111no—
823C2×#538—111no—
824C2×#529—111no—
825C2×#529—111no—
826C2×#525—111no—
827C2×#525D1111yescharacteristic, complemented
828C22×#123—111no—
829C22×#123—111no—
830C2×#520—111no—
831C2×#518—111no—
832C22×C4×D4—111no—
833C23×C11—22no—
834C23×C11—22no—
835C23×C11—22no—
836C23×C11—22no—
837C23×C11—22no—
838C23×C11—28no—
839C23×C11—22no—
840C23×C11—22no—
841C23×C11—22no—
842C23×C11—28no—
843C23×C11—22no—
844C23×C11—22no—
845C23×C11—22no—
846C23×C11—22no—
847C23×C11—22no—
848C23×C11—44no—
849C23×C11—416no—
850C23×C11C2×#4114yes—
851C23×C11H(5,𝔽2)14yes—
852C23×C11C2512yes—
853C23×C11C2512yes—
854C23×C11C2512yes—
855C23×C11C2512yes—
856C23×C11C2512yes—
857C23×C11C2511yescharacteristic
858C22×D11—22no—
859C22×D11—22no—
860C22×D11—22no—
861C22×D11—22no—
862C22×D11—22no—
863C22×D11—22no—
864C22×D11—28no—
865C22×D11—22no—
866C22×D11—22no—
867C22×D11—22no—
868C22×D11—22no—
869C22×D11—22no—
870C22×D11—28no—
871C22×D11—28no—
872C22×D11—28no—
873C22×D11—44no—
874C22×D11—44no—
875C22×D11—44no—
876C22×D11—44no—
877C22×D11—44no—
878C22×D11—416no—
879C22×D11—88no—
880C22×D11—88no—
881C22×D11C2×#4114yes—
882C22×D11C2512yes—
883C22×D11C2512yes—
884C22×D11C2512yes—
885C22×D11C2512yes—
886Q8×C11—44no—
887D4×C11—28no—
888D4×C11—28no—
889D4×C11—28no—
890D4×C11—28no—
891D4×C11—44no—
892D4×C11—44no—
893D4×C11—44no—
894C2×C4×C11—22no—
895C2×C4×C11—22no—
896C2×C4×C11—22no—
897C2×C4×C11—28no—
898C2×C4×C11—22no—
899C2×C4×C11—22no—
900C2×C4×C11—22no—
901C2×C4×C11—22no—
902C2×C4×C11—22no—
903C2×C4×C11—28no—
904C2×C4×C11—22no—
905C2×C4×C11—22no—
906C2×C4×C11—44no—
907C2×C4×C11—44no—
908C2×C4×C11—44no—
909C2×C4×C11—44no—
910C2×C4×C11—44no—
911C2×C4×C11—44no—
912C2×C4×C11C2512yes—
913C2×C4×C11C2512yes—
914C2×C4×C11C2512yes—
915C2×C4×C11C2512yes—
916C2×C4×C11C2512yes—
917C2×C4×C11C2512yes—
918C2×C4×C11C2512yes—
919C2×C4×C11C2512yes—
920C2×C4×C11C2512yes—
921C2×C4×C11C2512yes—
922C22⋊D11—28no—
923C22⋊D11—28no—
924C22⋊D11—28no—
925C22⋊D11—28no—
926C22⋊D11—28no—
927C22⋊D11—28no—
928C22⋊D11—28no—
929C22⋊D11—44no—
930C22⋊D11—44no—
931C22⋊D11—44no—
932C22⋊D11—44no—
933C22⋊D11—44no—
934C22⋊D11—44no—
935C22⋊D11C2×#41116yescomplemented
936C2×Dic11—22no—
937C2×Dic11—22no—
938C2×Dic11—28no—
939C2×Dic11—22no—
940C2×Dic11—22no—
941C2×Dic11—22no—
942C2×Dic11—22no—
943C2×Dic11—28no—
944C2×Dic11—22no—
945C2×Dic11—22no—
946C2×Dic11—22no—
947C2×Dic11—22no—
948C2×Dic11—22no—
949C2×Dic11—28no—
950C2×Dic11—28no—
951C2×Dic11—44no—
952C2×Dic11—44no—
953C2×Dic11—44no—
954C2×Dic11—44no—
955C2×Dic11—44no—
956C2×Dic11C2×#4114yes—
957C2×Dic11C2512yes—
958C2×Dic11C2512yes—
959C2×Dic11C2512yes—
960C2×Dic11C2512yes—
961C2×Dic11C2512yes—
962C2×Dic11C2512yes—
963C2×Dic11C2512yes—
964C2×Dic11C2512yes—
965C2×Dic11C2512yes—
966C2×Dic11C2512yes—
967C2×Dic11C2512yes—
968C2×Dic11C2512yes—
969D44—28no—
970D44—44no—
971D44—44no—
972C4×D11—28no—
973C4×D11—28no—
974C4×D11—44no—
975C4×D11—44no—
976C4×D11—44no—
977C4×D11—44no—
978C4×D11—44no—
979C4×D11—44no—
980C4×D11—44no—
981C4×D11—44no—
982Dic22—28no—
983Dic22—44no—
984Dic22—44no—
985C22×#41—111no—
986C22×#41—111no—
987C22×#41C2×D1111yescharacteristic, complemented
988C23×D4—111no—
989C23×D4—111no—
990C23×D4—111no—
991C23×D4—111no—
992C24×C4—111no—
993C24×C4C2×D1111yescharacteristic, complemented
994#559—1116no—
995#554—1116no—
996#553—1116no—
997#553—1116no—
998#553—1116no—
999#552—1116no—
1000#551—1116no—
1001#551—1116no—
1002#551—1116no—
1003#551—1116no—
1004#547—1116no—
1005#546—1116no—
1006#546—1116no—
1007#546—1116no—
1008#546—1116no—
1009D42—1116no—
1010#542—1116no—
1011#540—1116no—
1012#539—1116no—
1013#539—1116no—
1014#538—1116no—
1015#538—1116no—
1016C2×C4⋊Q8—111no—
1017C2×#127—111no—
1018#529—1116no—
1019#529—1116no—
1020C2×#126—111no—
1021C2×#126—111no—
1022C2×#126—111no—
1023C2×#126—111no—
1024C2×#126—111no—
1025C2×#126—111no—
1026C2×#126—111no—
1027C2×#126—111no—
1028C2×#126—111no—
1029C2×#126—111no—
1030C2×#125—111no—
1031C2×#125—111no—
1032C2×#125—111no—
1033C2×#125—111no—
1034C2×#125—111no—
1035C2×#124—111no—
1036C2×#124—111no—
1037C2×#124—111no—
1038C2×#124—111no—
1039C2×#124—111no—
1040C2×#124—111no—
1041C2×#124—111no—
1042#525—1116no—
1043#525C2×D11116yescomplemented
1044C2×#123—111no—
1045C2×#123—111no—
1046C2×#123—111no—
1047C2×#123—111no—
1048C2×#123—111no—
1049C2×#123—111no—
1050C2×#123—111no—
1051C2×#123—111no—
1052C2×#123—111no—
1053C2×#123—111no—
1054C2×#123—111no—
1055C2×#123—111no—
1056C2×#123—111no—
1057C2×#123—111no—
1058C2×#123—1116no—
1059C2×#123—1116no—
1060C2×#123—111no—
1061C2×#123—111no—
1062C2×#123—111no—
1063C2×#123—111no—
1064C2×#123—111no—
1065C2×#123—111no—
1066C2×#123—111no—
1067C2×#123—111no—
1068C2×#123—111no—
1069C2×#123—111no—
1070C2×#123C2×D1111yescharacteristic, complemented
1071C2×#123C2×D1111yescharacteristic, complemented
1072C2×C22⋊Q8—111no—
1073C2×C22⋊Q8—111no—
1074C2×C22⋊Q8—111no—
1075C2×C22⋊Q8—111no—
1076C2×C22⋊Q8—111no—
1077C2×C22⋊Q8—111no—
1078C2×C22⋊Q8—111no—
1079C2×C22⋊Q8—111no—
1080C2×C22⋊Q8—111no—
1081C2×C22⋊Q8—111no—
1082C2×C22⋊Q8—111no—
1083C2×C22⋊Q8C2×D1111yescharacteristic, complemented
1084C2×C22⋊Q8C2×D1111yescharacteristic, complemented
1085C2×#121—111no—
1086C2×#121—111no—
1087C2×#121—111no—
1088C2×#121—111no—
1089C2×#121—111no—
1090C2×#121—111no—
1091C2×#121—111no—
1092C2×#121—111no—
1093C2×#121—111no—
1094C2×#121—111no—
1095C2×#121—111no—
1096C2×#121—111no—
1097C2×#121—111no—
1098C2×#121—111no—
1099C2×#121—111no—
1100C2×#121C2×D1111yescharacteristic, complemented
1101C2×#121C2×D1111yescharacteristic, complemented
1102C2×#120—111no—
1103C2×#120—111no—
1104C2×#120—111no—
1105C2×#120—111no—
1106C2×#120—111no—
1107C2×#120—111no—
1108C2×#120C2×D1111yescharacteristic
1109C2×#120C2×D1111yescharacteristic, complemented
1110#520—1116no—
1111#518—1116no—
1112C2×C4×Q8—111no—
1113C2×C4×Q8—111no—
1114C2×C4×Q8—111no—
1115C2×C4×D4—111no—
1116C2×C4×D4—111no—
1117C2×C4×D4—111no—
1118C2×C4×D4—111no—
1119C2×C4×D4—111no—
1120C2×C4×D4—111no—
1121C2×C4×D4—111no—
1122C2×C4×D4—111no—
1123C2×C4×D4—111no—
1124C2×C4×D4—111no—
1125C2×C4×D4—111no—
1126C2×C4×D4—111no—
1127C2×C4×D4—111no—
1128C2×C4×D4—111no—
1129C2×C4×D4—1116no—
1130C2×C4×D4—111no—
1131C2×C4×D4—111no—
1132C2×C4×D4—111no—
1133C2×C4×D4—111no—
1134C2×C4×D4—111no—
1135C2×C4×D4—111no—
1136C2×C4×D4—111no—
1137C2×C4×D4—111no—
1138C2×C4×D4—111no—
1139C2×C4×D4—111no—
1140C2×C4×D4—111no—
1141C2×C4×D4C2×D1111yescharacteristic, complemented
1142C2×C4×D4C2×D1111yescharacteristic, complemented
1143C2×C4×D4C2×D1111yescharacteristic, complemented
1144C2×C4×D4C2×D1111yescharacteristic, complemented
1145C2×#117—111no—
1146C2×#117—111no—
1147C2×#117—111no—
1148C2×#117—111no—
1149C2×#117—111no—
1150C2×#117—111no—
1151C2×#117—111no—
1152C2×#117—111no—
1153C2×#117C2×D1111yescharacteristic, complemented
1154C22×C4⋊C4—111no—
1155C22×C4⋊C4—111no—
1156C22×C4⋊C4—111no—
1157C22×C4⋊C4—111no—
1158C22×C4⋊C4—111no—
1159C22×C4⋊C4—111no—
1160C22×C22⋊C4—111no—
1161C22×C22⋊C4—111no—
1162C22×C22⋊C4—111no—
1163C22×C22⋊C4—111no—
1164C22×C22⋊C4—111no—
1165C22×C22⋊C4—111no—
1166C22×C22⋊C4—111no—
1167C22×C22⋊C4—111no—
1168C22×C22⋊C4—111no—
1169C22×C22⋊C4—111no—
1170C22×C42—111no—
1171C22×C11—22no—
1172C22×C11—22no—
1173C22×C11—22no—
1174C22×C11—22no—
1175C22×C11—28no—
1176C22×C11—28no—
1177C22×C11—22no—
1178C22×C11—22no—
1179C22×C11—22no—
1180C22×C11—22no—
1181C22×C11—22no—
1182C22×C11—22no—
1183C22×C11—22no—
1184C22×C11—22no—
1185C22×C11—22no—
1186C22×C11—416no—
1187C22×C11—44no—
1188C22×C11—44no—
1189C22×C11—44no—
1190C22×C11C22×#4114yes—
1191C22×C11C22×#4112yes—
1192C22×C11C2×H(5,𝔽2)14yes—
1193C22×C11C2×H(5,𝔽2)12yes—
1194C22×C11#58512yes—
1195C22×C11C2611yescharacteristic
1196C2×D11—22no—
1197C2×D11—22no—
1198C2×D11—28no—
1199C2×D11—22no—
1200C2×D11—22no—
1201C2×D11—22no—
1202C2×D11—22no—
1203C2×D11—22no—
1204C2×D11—22no—
1205C2×D11—22no—
1206C2×D11—22no—
1207C2×D11—22no—
1208C2×D11—416no—
1209C2×D11—44no—
1210C2×D11—44no—
1211C2×D11—44no—
1212C2×D11—88no—
1213C2×D11—88no—
1214C2×D11C22×#4114yes—
1215C4×C11—22no—
1216C4×C11—22no—
1217C4×C11—22no—
1218C4×C11—22no—
1219C4×C11—22no—
1220C4×C11—22no—
1221C4×C11—22no—
1222C4×C11—22no—
1223C4×C11—22no—
1224C4×C11—22no—
1225Dic11—22no—
1226Dic11—22no—
1227Dic11—22no—
1228Dic11—22no—
1229Dic11—22no—
1230Dic11—22no—
1231Dic11—22no—
1232Dic11—22no—
1233Dic11—22no—
1234Dic11—22no—
1235Dic11—22no—
1236Dic11C22×#4114yes—
1237C25—111no—
1238C25—111no—
1239C25—111no—
1240C25C22×D1111yescharacteristic
1241C2×#41—44no—
1242C2×#41—118no—
1243C2×#41—118no—
1244C2×#41—228no—
1245C2×#41—444no—
1246C2×#41C22×D1118yescomplemented
1247C22×Q8—111no—
1248C22×Q8—111no—
1249C22×Q8—111no—
1250C22×Q8C22×D1111yescharacteristic
1251C22×D4—111no—
1252C22×D4—111no—
1253C22×D4—111no—
1254C22×D4—111no—
1255C22×D4—111no—
1256C22×D4—111no—
1257C22×D4—118no—
1258C22×D4—111no—
1259C22×D4—111no—
1260C22×D4—111no—
1261C22×D4—111no—
1262C22×D4—111no—
1263C22×D4—111no—
1264C22×D4—111no—
1265C22×D4—111no—
1266C22×D4—118no—
1267C22×D4—118no—
1268C22×D4—118no—
1269C22×D4—111no—
1270C22×D4—111no—
1271C22×D4—111no—
1272C22×D4—228no—
1273C22×D4—228no—
1274C22×D4—444no—
1275C22×D4—444no—
1276C22×D4C22×D1111yescharacteristic
1277C22×D4C22×D1111yescharacteristic
1278C22×D4C22×D1111yescharacteristic
1279C22×D4C22×D1111yescharacteristic
1280C22×D4C22×D1111yescharacteristic
1281C22×D4C22×D1111yescharacteristic
1282C22×D4C22×D1111yescharacteristic
1283C23×C4—44no—
1284C23×C4—111no—
1285C23×C4—111no—
1286C23×C4—111no—
1287C23×C4—111no—
1288C23×C4—111no—
1289C23×C4—111no—
1290C23×C4—111no—
1291C23×C4—111no—
1292C23×C4—111no—
1293C23×C4—111no—
1294C23×C4—111no—
1295C23×C4—111no—
1296C23×C4—111no—
1297C23×C4—111no—
1298C23×C4—111no—
1299C23×C4—111no—
1300C23×C4—111no—
1301C23×C4—111no—
1302C23×C4—111no—
1303C23×C4—118no—
1304C23×C4—444no—
1305C23×C4C22×D1111yescharacteristic
1306C23×C4C22×D1111yescharacteristic
1307C23×C4C22×D1111yescharacteristic
1308C23×C4C22×D1111yescharacteristic
1309C23×C4C22×D1111yescharacteristic
1310C23×C4C22×D1111yescharacteristic
1311C23×C4C22×D1111yescharacteristic
1312C23×C4C22×D1111yescharacteristic
1313C23×C4C22×D1118yescomplemented
1314C4⋊Q8—118no—
1315#127—118no—
1316#126—118no—
1317#126—118no—
1318#126—118no—
1319#126—118no—
1320#126—118no—
1321#126—118no—
1322#126—118no—
1323#126—118no—
1324#126—118no—
1325#126—118no—
1326#125—118no—
1327#125—118no—
1328#125—118no—
1329#125—118no—
1330#125—118no—
1331#124—118no—
1332#124—118no—
1333#124—118no—
1334#124—118no—
1335#124—118no—
1336#124—118no—
1337#124—118no—
1338#123—118no—
1339#123—118no—
1340#123—118no—
1341#123—118no—
1342#123—118no—
1343#123—118no—
1344#123—118no—
1345#123—118no—
1346#123—118no—
1347#123—118no—
1348#123—118no—
1349#123—118no—
1350#123—118no—
1351#123—118no—
1352#123—118no—
1353#123—118no—
1354#123—118no—
1355#123—118no—
1356#123—118no—
1357#123—118no—
1358#123—118no—
1359#123—118no—
1360#123—118no—
1361#123—118no—
1362#123C22×D1118yescomplemented
1363#123C22×D1118yescomplemented
1364C22⋊Q8—118no—
1365C22⋊Q8—118no—
1366C22⋊Q8—118no—
1367C22⋊Q8—118no—
1368C22⋊Q8—118no—
1369C22⋊Q8—118no—
1370C22⋊Q8—118no—
1371C22⋊Q8—118no—
1372C22⋊Q8—118no—
1373C22⋊Q8—118no—
1374C22⋊Q8—118no—
1375C22⋊Q8C22×D1118yescomplemented
1376C22⋊Q8C22×D1118yescomplemented
1377#121—118no—
1378#121—118no—
1379#121—118no—
1380#121—118no—
1381#121—118no—
1382#121—118no—
1383#121—118no—
1384#121—118no—
1385#121—118no—
1386#121—118no—
1387#121—118no—
1388#121—118no—
1389#121—118no—
1390#121—118no—
1391#121—118no—
1392#121C22×D1118yescomplemented
1393#121C22×D1118yescomplemented
1394#120—118no—
1395#120—118no—
1396#120—118no—
1397#120—118no—
1398#120—118no—
1399#120—118no—
1400#120C22×D1118yes—
1401#120C22×D1118yescomplemented
1402C4×Q8—118no—
1403C4×Q8—118no—
1404C4×Q8—118no—
1405C4×D4—118no—
1406C4×D4—118no—
1407C4×D4—118no—
1408C4×D4—118no—
1409C4×D4—118no—
1410C4×D4—118no—
1411C4×D4—118no—
1412C4×D4—118no—
1413C4×D4—118no—
1414C4×D4—118no—
1415C4×D4—118no—
1416C4×D4—118no—
1417C4×D4—118no—
1418C4×D4—118no—
1419C4×D4—118no—
1420C4×D4—118no—
1421C4×D4—118no—
1422C4×D4—118no—
1423C4×D4—118no—
1424C4×D4—118no—
1425C4×D4—118no—
1426C4×D4—118no—
1427C4×D4—118no—
1428C4×D4—118no—
1429C4×D4—118no—
1430C4×D4C22×D1118yescomplemented
1431C4×D4C22×D1118yescomplemented
1432C4×D4C22×D1118yescomplemented
1433C4×D4C22×D1118yescomplemented
1434#117—118no—
1435#117—118no—
1436#117—118no—
1437#117—118no—
1438#117—118no—
1439#117—118no—
1440#117—118no—
1441#117—118no—
1442#117C22×D1118yescomplemented
1443C2×C4⋊C4—111no—
1444C2×C4⋊C4—111no—
1445C2×C4⋊C4—111no—
1446C2×C4⋊C4—111no—
1447C2×C4⋊C4—111no—
1448C2×C4⋊C4—111no—
1449C2×C4⋊C4—111no—
1450C2×C4⋊C4—111no—
1451C2×C4⋊C4—111no—
1452C2×C4⋊C4—118no—
1453C2×C4⋊C4—111no—
1454C2×C4⋊C4—111no—
1455C2×C4⋊C4—111no—
1456C2×C4⋊C4—111no—
1457C2×C4⋊C4—118no—
1458C2×C4⋊C4—118no—
1459C2×C4⋊C4—111no—
1460C2×C4⋊C4—111no—
1461C2×C4⋊C4—111no—
1462C2×C4⋊C4—111no—
1463C2×C4⋊C4—118no—
1464C2×C4⋊C4—111no—
1465C2×C4⋊C4—111no—
1466C2×C4⋊C4—111no—
1467C2×C4⋊C4—111no—
1468C2×C4⋊C4—111no—
1469C2×C4⋊C4—111no—
1470C2×C4⋊C4—111no—
1471C2×C4⋊C4—111no—
1472C2×C4⋊C4—111no—
1473C2×C4⋊C4—111no—
1474C2×C4⋊C4—111no—
1475C2×C4⋊C4—111no—
1476C2×C4⋊C4—111no—
1477C2×C4⋊C4—118no—
1478C2×C4⋊C4—118no—
1479C2×C4⋊C4C22×D1111yescharacteristic
1480C2×C4⋊C4C22×D1111yescharacteristic
1481C2×C4⋊C4C22×D1111yescharacteristic
1482C2×C4⋊C4C22×D1111yescharacteristic
1483C2×C4⋊C4C22×D1111yescharacteristic
1484C2×C4⋊C4C22×D1111yescharacteristic
1485C2×C22⋊C4—111no—
1486C2×C22⋊C4—111no—
1487C2×C22⋊C4—111no—
1488C2×C22⋊C4—111no—
1489C2×C22⋊C4—111no—
1490C2×C22⋊C4—111no—
1491C2×C22⋊C4—111no—
1492C2×C22⋊C4—118no—
1493C2×C22⋊C4—111no—
1494C2×C22⋊C4—111no—
1495C2×C22⋊C4—111no—
1496C2×C22⋊C4—118no—
1497C2×C22⋊C4—111no—
1498C2×C22⋊C4—111no—
1499C2×C22⋊C4—111no—
1500C2×C22⋊C4—111no—
1501C2×C22⋊C4—111no—
1502C2×C22⋊C4—111no—
1503C2×C22⋊C4—111no—
1504C2×C22⋊C4—111no—
1505C2×C22⋊C4—111no—
1506C2×C22⋊C4—111no—
1507C2×C22⋊C4—111no—
1508C2×C22⋊C4—111no—
1509C2×C22⋊C4—111no—
1510C2×C22⋊C4—111no—
1511C2×C22⋊C4—111no—
1512C2×C22⋊C4—111no—
1513C2×C22⋊C4—111no—
1514C2×C22⋊C4—118no—
1515C2×C22⋊C4—118no—
1516C2×C22⋊C4—118no—
1517C2×C22⋊C4—111no—
1518C2×C22⋊C4—111no—
1519C2×C22⋊C4—111no—
1520C2×C22⋊C4—111no—
1521C2×C22⋊C4—111no—
1522C2×C22⋊C4—118no—
1523C2×C22⋊C4—111no—
1524C2×C22⋊C4—111no—
1525C2×C22⋊C4—111no—
1526C2×C22⋊C4—111no—
1527C2×C22⋊C4—111no—
1528C2×C22⋊C4—111no—
1529C2×C22⋊C4—118no—
1530C2×C22⋊C4—118no—
1531C2×C22⋊C4—118no—
1532C2×C22⋊C4—118no—
1533C2×C22⋊C4C22×D1111yescharacteristic
1534C2×C22⋊C4C22×D1111yescharacteristic
1535C2×C22⋊C4C22×D1111yescharacteristic
1536C2×C22⋊C4C22×D1111yescharacteristic
1537C2×C22⋊C4C22×D1111yescharacteristic
1538C2×C22⋊C4C22×D1111yescharacteristic
1539C2×C22⋊C4C22×D1111yescharacteristic
1540C2×C22⋊C4C22×D1111yescharacteristic
1541C2×C22⋊C4C22×D1111yescharacteristic
1542C2×C22⋊C4C22×D1111yescharacteristic
1543C2×C42—111no—
1544C2×C42—111no—
1545C2×C42—111no—
1546C2×C42—111no—
1547C2×C42—111no—
1548C2×C42—111no—
1549C2×C42—111no—
1550C2×C42—111no—
1551C2×C42—111no—
1552C2×C42—111no—
1553C2×C42—118no—
1554C2×C42C22×D1111yescharacteristic
1555C2×C42C22×D1111yescharacteristic
1556C2×C11—24no—
1557C2×C11—24no—
1558C2×C11—42no—
1559C2×C11—42no—
1560C2×C11—42no—
1561C2×C11#351314yescomplemented
1562C2×C11C23×#4111yescharacteristic
1563C2×C11C22×H(5,𝔽2)11yescharacteristic
1564C2×C11C2×#58511yescharacteristic
1565D11—24no—
1566D11—42no—
1567D11—42no—
1568D11—42no—
1569C24—24no—
1570C24—24no—
1571C24—42no—
1572C24—111no—
1573C24—111no—
1574C24—111no—
1575C24—111no—
1576C24—114no—
1577C24—114no—
1578C24—114no—
1579C24—224no—
1580C24—224no—
1581C24—224no—
1582C24—224no—
1583C24—442no—
1584C24—442no—
1585C24—442no—
1586C24—442no—
1587C24—442no—
1588C24C23×D1111yescharacteristic
1589C24C23×D1111yescharacteristic
1590C24C23×D1111yescharacteristic
1591C24C23×D1114yes—
1592C24C23×D1111yescharacteristic
1593C24C23×D1111yescharacteristic
1594#41—416no—
1595#41—2232no—
1596#41—4416no—
1597C2×Q8—42no—
1598C2×Q8—114no—
1599C2×Q8—114no—
1600C2×Q8—114no—
1601C2×Q8—224no—
1602C2×Q8—442no—
1603C2×Q8—442no—
1604C2×Q8C23×D1114yes—
1605C2×D4—24no—
1606C2×D4—24no—
1607C2×D4—24no—
1608C2×D4—24no—
1609C2×D4—42no—
1610C2×D4—42no—
1611C2×D4—42no—
1612C2×D4—118no—
1613C2×D4—114no—
1614C2×D4—114no—
1615C2×D4—114no—
1616C2×D4—114no—
1617C2×D4—114no—
1618C2×D4—114no—
1619C2×D4—114no—
1620C2×D4—114no—
1621C2×D4—114no—
1622C2×D4—114no—
1623C2×D4—114no—
1624C2×D4—114no—
1625C2×D4—114no—
1626C2×D4—114no—
1627C2×D4—114no—
1628C2×D4—114no—
1629C2×D4—114no—
1630C2×D4—224no—
1631C2×D4—224no—
1632C2×D4—224no—
1633C2×D4—2232no—
1634C2×D4—2232no—
1635C2×D4—224no—
1636C2×D4—224no—
1637C2×D4—224no—
1638C2×D4—224no—
1639C2×D4—224no—
1640C2×D4—442no—
1641C2×D4—442no—
1642C2×D4—442no—
1643C2×D4—442no—
1644C2×D4—442no—
1645C2×D4—442no—
1646C2×D4—442no—
1647C2×D4—442no—
1648C2×D4—4416no—
1649C2×D4—4416no—
1650C2×D4C23×D1114yes—
1651C2×D4C23×D1114yes—
1652C2×D4C23×D1114yes—
1653C2×D4C23×D1114yes—
1654C2×D4C23×D1114yes—
1655C2×D4C23×D1114yes—
1656C2×D4C23×D1114yes—
1657C22×C4—24no—
1658C22×C4—24no—
1659C22×C4—42no—
1660C22×C4—42no—
1661C22×C4—42no—
1662C22×C4—42no—
1663C22×C4—416no—
1664C22×C4—42no—
1665C22×C4—42no—
1666C22×C4—111no—
1667C22×C4—114no—
1668C22×C4—114no—
1669C22×C4—114no—
1670C22×C4—114no—
1671C22×C4—111no—
1672C22×C4—111no—
1673C22×C4—111no—
1674C22×C4—111no—
1675C22×C4—111no—
1676C22×C4—111no—
1677C22×C4—111no—
1678C22×C4—111no—
1679C22×C4—111no—
1680C22×C4—111no—
1681C22×C4—111no—
1682C22×C4—114no—
1683C22×C4—114no—
1684C22×C4—114no—
1685C22×C4—114no—
1686C22×C4—114no—
1687C22×C4—114no—
1688C22×C4—114no—
1689C22×C4—114no—
1690C22×C4—114no—
1691C22×C4—114no—
1692C22×C4—114no—
1693C22×C4—114no—
1694C22×C4—114no—
1695C22×C4—114no—
1696C22×C4—114no—
1697C22×C4—224no—
1698C22×C4—224no—
1699C22×C4—224no—
1700C22×C4—224no—
1701C22×C4—224no—
1702C22×C4—224no—
1703C22×C4—442no—
1704C22×C4—442no—
1705C22×C4—442no—
1706C22×C4—442no—
1707C22×C4—4416no—
1708C22×C4—442no—
1709C22×C4—442no—
1710C22×C4—442no—
1711C22×C4—442no—
1712C22×C4—442no—
1713C22×C4—442no—
1714C22×C4—442no—
1715C22×C4—442no—
1716C22×C4—442no—
1717C22×C4C23×D1114yes—
1718C22×C4C23×D1114yes—
1719C22×C4C23×D1111yescharacteristic
1720C22×C4C23×D1111yescharacteristic
1721C22×C4C23×D1111yescharacteristic
1722C22×C4C23×D1111yescharacteristic
1723C22×C4C23×D1111yescharacteristic
1724C22×C4C23×D1111yescharacteristic
1725C22×C4C23×D1111yescharacteristic
1726C22×C4C23×D1111yescharacteristic
1727C22×C4C23×D1111yescharacteristic
1728C22×C4C23×D1111yescharacteristic
1729C22×C4C23×D1114yes—
1730C22×C4C23×D1114yes—
1731C22×C4C23×D1114yes—
1732C22×C4C23×D1114yes—
1733C22×C4C23×D1114yes—
1734C22×C4C23×D1114yes—
1735C4⋊C4—114no—
1736C4⋊C4—114no—
1737C4⋊C4—114no—
1738C4⋊C4—114no—
1739C4⋊C4—114no—
1740C4⋊C4—114no—
1741C4⋊C4—114no—
1742C4⋊C4—114no—
1743C4⋊C4—114no—
1744C4⋊C4—114no—
1745C4⋊C4—114no—
1746C4⋊C4—114no—
1747C4⋊C4—114no—
1748C4⋊C4—114no—
1749C4⋊C4—114no—
1750C4⋊C4—114no—
1751C4⋊C4—114no—
1752C4⋊C4—114no—
1753C4⋊C4—114no—
1754C4⋊C4—114no—
1755C4⋊C4—114no—
1756C4⋊C4—114no—
1757C4⋊C4—114no—
1758C4⋊C4—114no—
1759C4⋊C4—114no—
1760C4⋊C4—114no—
1761C4⋊C4—114no—
1762C4⋊C4—114no—
1763C4⋊C4—114no—
1764C4⋊C4—114no—
1765C4⋊C4C23×D1114yes—
1766C4⋊C4C23×D1114yes—
1767C4⋊C4C23×D1114yes—
1768C4⋊C4C23×D1114yes—
1769C4⋊C4C23×D1114yes—
1770C4⋊C4C23×D1114yes—
1771C22⋊C4—114no—
1772C22⋊C4—114no—
1773C22⋊C4—114no—
1774C22⋊C4—114no—
1775C22⋊C4—114no—
1776C22⋊C4—114no—
1777C22⋊C4—114no—
1778C22⋊C4—114no—
1779C22⋊C4—114no—
1780C22⋊C4—114no—
1781C22⋊C4—114no—
1782C22⋊C4—114no—
1783C22⋊C4—114no—
1784C22⋊C4—114no—
1785C22⋊C4—114no—
1786C22⋊C4—114no—
1787C22⋊C4—114no—
1788C22⋊C4—114no—
1789C22⋊C4—114no—
1790C22⋊C4—114no—
1791C22⋊C4—114no—
1792C22⋊C4—114no—
1793C22⋊C4—114no—
1794C22⋊C4—114no—
1795C22⋊C4—114no—
1796C22⋊C4—114no—
1797C22⋊C4—114no—
1798C22⋊C4—114no—
1799C22⋊C4—114no—
1800C22⋊C4—114no—
1801C22⋊C4—114no—
1802C22⋊C4—114no—
1803C22⋊C4—114no—
1804C22⋊C4—114no—
1805C22⋊C4—114no—
1806C22⋊C4—114no—
1807C22⋊C4—114no—
1808C22⋊C4—114no—
1809C22⋊C4C23×D1114yes—
1810C22⋊C4C23×D1114yes—
1811C22⋊C4C23×D1114yes—
1812C22⋊C4C23×D1114yes—
1813C22⋊C4C23×D1114yes—
1814C22⋊C4C23×D1114yes—
1815C22⋊C4C23×D1114yes—
1816C22⋊C4C23×D1114yes—
1817C22⋊C4C23×D1114yes—
1818C22⋊C4C23×D1114yes—
1819C42—114no—
1820C42—114no—
1821C42—114no—
1822C42—114no—
1823C42—114no—
1824C42—114no—
1825C42—114no—
1826C42—114no—
1827C42—114no—
1828C42—114no—
1829C42C23×D1114yes—
1830C42C23×D1114yes—
1831C11C2×#351311yescharacteristic, complemented, Sylow
1832C23—22no—
1833C23—22no—
1834C23—22no—
1835C23—22no—
1836C23—28no—
1837C23—22no—
1838C23—22no—
1839C23—22no—
1840C23—22no—
1841C23—22no—
1842C23—28no—
1843C23—22no—
1844C23—22no—
1845C23—22no—
1846C23—22no—
1847C23—44no—
1848C23—416no—
1849C23—114no—
1850C23—112no—
1851C23—112no—
1852C23—112no—
1853C23—112no—
1854C23—228no—
1855C23—228no—
1856C23—222no—
1857C23—222no—
1858C23—228no—
1859C23—222no—
1860C23—222no—
1861C23—222no—
1862C23—222no—
1863C23—222no—
1864C23—222no—
1865C23—222no—
1866C23—222no—
1867C23—222no—
1868C23—228no—
1869C23—444no—
1870C23—444no—
1871C23—444no—
1872C23—444no—
1873C23—444no—
1874C23—4416no—
1875C23—888no—
1876C23—888no—
1877C23#6703714yes—
1878C23#41×D1114yes—
1879C23C24×D1112yes—
1880C23C24×D1112yes—
1881C23C24×D1112yes—
1882C23C24×D1112yes—
1883C23C24×D1112yes—
1884C23C24×D1111yescharacteristic
1885Q8—44no—
1886Q8—228no—
1887Q8—444no—
1888Q8—444no—
1889D4—28no—
1890D4—28no—
1891D4—28no—
1892D4—28no—
1893D4—44no—
1894D4—44no—
1895D4—44no—
1896D4—1116no—
1897D4—228no—
1898D4—228no—
1899D4—228no—
1900D4—228no—
1901D4—228no—
1902D4—228no—
1903D4—228no—
1904D4—228no—
1905D4—444no—
1906D4—444no—
1907D4—444no—
1908D4—444no—
1909D4—444no—
1910D4—444no—
1911D4—444no—
1912D4—444no—
1913C2×C4—22no—
1914C2×C4—28no—
1915C2×C4—22no—
1916C2×C4—22no—
1917C2×C4—22no—
1918C2×C4—28no—
1919C2×C4—22no—
1920C2×C4—22no—
1921C2×C4—22no—
1922C2×C4—22no—
1923C2×C4—22no—
1924C2×C4—22no—
1925C2×C4—44no—
1926C2×C4—44no—
1927C2×C4—44no—
1928C2×C4—44no—
1929C2×C4—44no—
1930C2×C4—44no—
1931C2×C4—114no—
1932C2×C4—112no—
1933C2×C4—112no—
1934C2×C4—112no—
1935C2×C4—112no—
1936C2×C4—112no—
1937C2×C4—112no—
1938C2×C4—112no—
1939C2×C4—112no—
1940C2×C4—112no—
1941C2×C4—112no—
1942C2×C4—112no—
1943C2×C4—112no—
1944C2×C4—228no—
1945C2×C4—228no—
1946C2×C4—228no—
1947C2×C4—228no—
1948C2×C4—222no—
1949C2×C4—222no—
1950C2×C4—228no—
1951C2×C4—222no—
1952C2×C4—222no—
1953C2×C4—222no—
1954C2×C4—222no—
1955C2×C4—222no—
1956C2×C4—228no—
1957C2×C4—222no—
1958C2×C4—222no—
1959C2×C4—222no—
1960C2×C4—222no—
1961C2×C4—444no—
1962C2×C4—444no—
1963C2×C4—444no—
1964C2×C4—444no—
1965C2×C4—444no—
1966C2×C4—444no—
1967C2×C4—444no—
1968C2×C4—444no—
1969C2×C4—444no—
1970C2×C4—444no—
1971C2×C4—444no—
1972C2×C4—444no—
1973C2×C4—444no—
1974C2×C4C24×D1112yes—
1975C2×C4C24×D1112yes—
1976C2×C4C24×D1112yes—
1977C2×C4C24×D1112yes—
1978C2×C4C24×D1112yes—
1979C2×C4C24×D1112yes—
1980C2×C4C24×D1112yes—
1981C2×C4C24×D1112yes—
1982C2×C4C24×D1112yes—
1983C2×C4C24×D1112yes—
1984C22—22no—
1985C22—22no—
1986C22—22no—
1987C22—22no—
1988C22—28no—
1989C22—28no—
1990C22—22no—
1991C22—22no—
1992C22—22no—
1993C22—22no—
1994C22—22no—
1995C22—22no—
1996C22—22no—
1997C22—22no—
1998C22—22no—
1999C22—416no—
2000C22—44no—
2001C22—44no—
2002C22—44no—
2003C22—114no—
2004C22—222no—
2005C22—222no—
2006C22—228no—
2007C22—222no—
2008C22—222no—
2009C22—222no—
2010C22—222no—
2011C22—222no—
2012C22—222no—
2013C22—222no—
2014C22—222no—
2015C22—222no—
2016C22—4416no—
2017C22—444no—
2018C22—444no—
2019C22—444no—
2020C22—888no—
2021C22—888no—
2022C22C2×#6703714yes—
2023C22C2×#6703712yes—
2024C22C2×#41×D1114yes—
2025C22C2×#41×D1112yes—
2026C22#1062345312yes—
2027C22C25×D1111yescharacteristic
2028C4—22no—
2029C4—22no—
2030C4—22no—
2031C4—22no—
2032C4—22no—
2033C4—22no—
2034C4—22no—
2035C4—22no—
2036C4—22no—
2037C4—22no—
2038C4—114no—
2039C4—222no—
2040C4—222no—
2041C4—222no—
2042C4—222no—
2043C4—222no—
2044C4—222no—
2045C4—222no—
2046C4—222no—
2047C4—222no—
2048C4—222no—
2049C4—222no—
2050C2—24no—
2051C2—24no—
2052C2—42no—
2053C2—42no—
2054C2—42no—
2055C2—224no—
2056C2—442no—
2057C2—442no—
2058C2—442no—
2059C2#1308254214yesdirect product factor
2060C2C22×#41×D1111yescharacteristic
2061C2C22×#6703711yescharacteristic
2062C2C2×#1062345311yescharacteristic
subgroupG/H
centerC23C24×D11
commutator, cosocleC22×C11C26
FrattiniC22C25×D11
FittingC2×C11×#525C2
socleC23×C11C25
hypercenterC2×#525D11
hypocenterC11C2×#3513
LCSG ▷ C22×C11 ▷ C11
UCSC1 ◁ C23 ◁ C2×#525

Complements

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

NH ≅ G/Ntype
1. #13082542C2direct (N × H)
2. C2×#10623090C2semidirect
3. C2×#10623167C2semidirect
4. C2×#10623089C2semidirect
5. C2×#10623071C2semidirect
6. C2×#10623132C2semidirect
7. C2×#10623062C2semidirect
8. C2×#10623118C2semidirect
9. C2×#10623087C2semidirect
10. C2×#10623168C2semidirect
11. C2×#10623058C2semidirect
12. C2×#10623355C2semidirect
13. C2×#10623141C2semidirect
14. C2×#10623360C2semidirect
15. C2×#10623122C2semidirect
16. C2×#10623122C2semidirect
17. C2×#10623121C2semidirect
18. C2×#10623171C2semidirect
19. C2×#10623146C2semidirect
20. C2×#10623169C2semidirect
21. C2×#10623095C2semidirect
22. C2×#10623091C2semidirect
23. C2×#10623144C2semidirect
24. C2×#10623180C2semidirect
25. C2×#10623180C2semidirect
26. C2×#10623187C2semidirect
27. C22×#66982C2semidirect
28. C2×D11×#123C2semidirect
29. C2×#10623077C2semidirect
30. C2×#10623076C2semidirect
31. C22×C4×C22⋊D11C2semidirect
32. C2×C11×#525C2semidirect
33. C22×C11×#41C22semidirect
34. C24×C4×C11C22semidirect
38. C22×#4341C22semidirect
41. C23×C4×D11C22semidirect
42. C11×#525C22semidirect
43. C2×C11×#123C22semidirect
44. C2×C11×#123C22semidirect
45. C2×C11×C22⋊Q8C22semidirect
46. C2×C11×C22⋊Q8C22semidirect
47. C2×C11×#121C22semidirect
48. C2×C11×#121C22semidirect
50. C2×C11×#120C22semidirect
51. C2×C4×D4×C11C22semidirect
52. C2×C4×D4×C11C22semidirect
53. C2×C4×D4×C11C22semidirect
54. C2×C4×D4×C11C22semidirect
55. C2×C11×#117C22semidirect
56. C22×C22⋊Dic11C22semidirect
57. C22×C22⋊Dic11C22semidirect
58. #10623360C22semidirect
59. #10623355C22semidirect
60. C2×#67000C22semidirect
61. C2×#66999C22semidirect
62. C2×#66999C22semidirect
63. C2×#66997C22semidirect
68. C2×#66992C22semidirect
69. C2×#66992C22semidirect
70. C2×#66992C22semidirect
71. C2×#66992C22semidirect
72. C2×#66992C22semidirect
73. C2×#66991C22semidirect
74. C2×#66991C22semidirect
76. C2×#66990C22semidirect
77. C2×#66990C22semidirect
78. C2×#66990C22semidirect
79. C2×#66989C22semidirect
80. C2×#66988C22semidirect
81. C2×#66988C22semidirect
82. C2×#66988C22semidirect
83. C2×#66988C22semidirect
84. C2×D4×Dic11C22semidirect
85. C2×D4×Dic11C22semidirect
86. C2×D4×Dic11C22semidirect
87. C2×D4×Dic11C22semidirect
88. C2×#66983C22semidirect
91. C2×#66982C22semidirect
92. C2×#66982C22semidirect
93. C2×#66982C22semidirect
94. C2×#66982C22semidirect
95. C2×#66982C22semidirect
96. C2×#66982C22semidirect
97. C2×#66982C22semidirect
98. C2×#66982C22semidirect
99. C2×#66982C22semidirect
102. C2×C4×C22⋊D11C22semidirect
103. C2×C4×C22⋊D11C22semidirect
104. C2×C4×C22⋊D11C22semidirect
105. C2×C4×C22⋊D11C22semidirect
106. C2×C4×C22⋊D11C22semidirect
107. C2×C4×C22⋊D11C22semidirect
108. C2×C4×C22⋊D11C22semidirect
109. C2×C4×C22⋊D11C22semidirect
110. C2×C4×C22⋊D11C22semidirect
111. C22×(C2×D11)⋊C4C22semidirect
112. C22×(C2×D11)⋊C4C22semidirect
113. C22×(C2×D11)⋊C4C22semidirect
114. C22×(C2×D11)⋊C4C22semidirect
115. C2×#66977C22semidirect
116. C22×Dic11⋊C4C22semidirect
117. C22×Dic11⋊C4C22semidirect
118. C22×Dic11⋊C4C22semidirect
119. C22×Dic11⋊C4C22semidirect
120. C22×C4×Dic11C22semidirect
121. #10623187C22semidirect
122. D11×#123C22semidirect
123. #10623180C22semidirect
124. #10623180C22semidirect
125. #10623171C22semidirect
126. #10623169C22semidirect
127. #10623168C22semidirect
128. #10623167C22semidirect
129. #10623146C22semidirect
130. #10623144C22semidirect
131. #10623141C22semidirect
132. #10623132C22semidirect
133. #10623122C22semidirect
134. #10623122C22semidirect
135. #10623121C22semidirect
136. #10623118C22semidirect
137. #10623095C22semidirect
138. #10623091C22semidirect
139. #10623090C22semidirect
140. #10623089C22semidirect
141. #10623087C22semidirect
142. #10623077C22semidirect
143. #10623076C22semidirect
144. #10623071C22semidirect
145. #10623062C22semidirect
146. #10623058C22semidirect
147. C2×#66951C22semidirect
148. C2×#66951C22semidirect
149. C2×#66951C22semidirect
150. C2×#66951C22semidirect
151. C2×#66949C22semidirect
152. C2×#66949C22semidirect
153. C2×#66949C22semidirect
154. C2×#66949C22semidirect
155. C2×#66947C22semidirect
156. C2×#66947C22semidirect
157. C2×#66947C22semidirect
158. C2×#66947C22semidirect
159. C2×#66946C22semidirect
160. C2×#66946C22semidirect
161. C2×#66945C22semidirect
162. C2×#66945C22semidirect
163. C2×C4⋊C4×D11C22semidirect
164. C2×C4⋊C4×D11C22semidirect
165. C2×#66942C22semidirect
166. C2×#66942C22semidirect
167. C2×#66942C22semidirect
168. C2×#66942C22semidirect
169. C2×#66940C22semidirect
170. C2×#66940C22semidirect
172. C2×#66939C22semidirect
173. C2×#66938C22semidirect
174. C2×#66938C22semidirect
175. C2×#66938C22semidirect
176. C2×#66938C22semidirect
179. C2×#66937C22semidirect
180. C2×#66937C22semidirect
181. C2×#66936C22semidirect
182. C2×#66936C22semidirect
183. C2×#66936C22semidirect
184. C2×#66936C22semidirect
190. C2×(C22⋊D11)⋊C4C22semidirect
191. C2×(C22⋊D11)⋊C4C22semidirect
192. C2×(C22⋊D11)⋊C4C22semidirect
193. C2×(C22⋊D11)⋊C4C22semidirect
194. C2×(C22⋊D11)⋊C4C22semidirect
195. C2×C22⋊C4×D11C22semidirect
196. C2×C22⋊C4×D11C22semidirect
197. C2×C22⋊C4×D11C22semidirect
198. C2×C22⋊C4×D11C22semidirect
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×#66930C22semidirect
208. C2×#66930C22semidirect
209. C2×#66930C22semidirect
210. C2×#66930C22semidirect
211. C2×#66929C22semidirect
212. C2×#66929C22semidirect
213. C2×#66928C22semidirect
214. C2×C4×D44C22semidirect
215. C2×#66925C22semidirect
216. C2×#66925C22semidirect
217. C2×#66923C22semidirect
218. C2×C4×Dic22C22semidirect
224. C2×C11×#41C23semidirect
242. C23×C4×C11C23semidirect
273. C2×#4341C23semidirect
292. C22×C4×D11C23semidirect
296. C11×#123C23semidirect
297. C11×#123C23semidirect
298. C11×C22⋊Q8C23semidirect
299. C11×C22⋊Q8C23semidirect
300. C11×#121C23semidirect
301. C11×#121C23semidirect
303. C11×#120C23semidirect
304. C4×D4×C11C23semidirect
305. C4×D4×C11C23semidirect
306. C4×D4×C11C23semidirect
307. C4×D4×C11C23semidirect
308. C11×#117C23semidirect
341. C2×C22⋊Dic11C23semidirect
342. C2×C22⋊Dic11C23semidirect
343. #67000C23semidirect
344. #66999C23semidirect
345. #66999C23semidirect
346. #66997C23semidirect
351. #66992C23semidirect
352. #66992C23semidirect
353. #66992C23semidirect
354. #66992C23semidirect
355. #66992C23semidirect
356. #66991C23semidirect
357. #66991C23semidirect
359. #66990C23semidirect
360. #66990C23semidirect
361. #66990C23semidirect
362. #66989C23semidirect
363. #66988C23semidirect
364. #66988C23semidirect
365. #66988C23semidirect
366. #66988C23semidirect
367. D4×Dic11C23semidirect
368. D4×Dic11C23semidirect
369. D4×Dic11C23semidirect
370. D4×Dic11C23semidirect
371. #66983C23semidirect
374. #66982C23semidirect
375. #66982C23semidirect
376. #66982C23semidirect
377. #66982C23semidirect
378. #66982C23semidirect
379. #66982C23semidirect
380. #66982C23semidirect
381. #66982C23semidirect
384. C4×C22⋊D11C23semidirect
385. C4×C22⋊D11C23semidirect
386. C4×C22⋊D11C23semidirect
387. C4×C22⋊D11C23semidirect
388. C4×C22⋊D11C23semidirect
389. C4×C22⋊D11C23semidirect
390. C4×C22⋊D11C23semidirect
391. C4×C22⋊D11C23semidirect
416. C2×(C2×D11)⋊C4C23semidirect
417. C2×(C2×D11)⋊C4C23semidirect
418. C2×(C2×D11)⋊C4C23semidirect
419. C2×(C2×D11)⋊C4C23semidirect
426. #66977C23semidirect
451. C2×Dic11⋊C4C23semidirect
452. C2×Dic11⋊C4C23semidirect
453. C2×Dic11⋊C4C23semidirect
454. C2×Dic11⋊C4C23semidirect
465. C2×C4×Dic11C23semidirect
466. #66951C23semidirect
467. #66951C23semidirect
468. #66951C23semidirect
469. #66951C23semidirect
470. #66949C23semidirect
471. #66949C23semidirect
472. #66949C23semidirect
473. #66949C23semidirect
474. #66947C23semidirect
475. #66947C23semidirect
476. #66947C23semidirect
477. #66947C23semidirect
478. #66946C23semidirect
479. #66946C23semidirect
480. #66945C23semidirect
481. #66945C23semidirect
482. C4⋊C4×D11C23semidirect
483. C4⋊C4×D11C23semidirect
484. #66942C23semidirect
485. #66942C23semidirect
486. #66942C23semidirect
487. #66942C23semidirect
488. #66940C23semidirect
489. #66940C23semidirect
491. #66939C23semidirect
492. #66938C23semidirect
493. #66938C23semidirect
494. #66938C23semidirect
495. #66938C23semidirect
498. #66937C23semidirect
499. #66937C23semidirect
500. #66936C23semidirect
501. #66936C23semidirect
502. #66936C23semidirect
503. #66936C23semidirect
509. (C22⋊D11)⋊C4C23semidirect
510. (C22⋊D11)⋊C4C23semidirect
511. (C22⋊D11)⋊C4C23semidirect
512. (C22⋊D11)⋊C4C23semidirect
513. (C22⋊D11)⋊C4C23semidirect
514. C22⋊C4×D11C23semidirect
515. C22⋊C4×D11C23semidirect
516. C22⋊C4×D11C23semidirect
517. C22⋊C4×D11C23semidirect
518. #66932C23semidirect
519. #66932C23semidirect
520. #66932C23semidirect
521. #66932C23semidirect
522. #66931C23semidirect
523. #66931C23semidirect
524. #66931C23semidirect
525. #66931C23semidirect
526. #66930C23semidirect
527. #66930C23semidirect
528. #66930C23semidirect
529. #66930C23semidirect
530. #66929C23semidirect
531. #66929C23semidirect
532. #66928C23semidirect
533. C4×D44C23semidirect
534. #66925C23semidirect
535. #66925C23semidirect
536. #66923C23semidirect
537. C4×Dic22C23semidirect
623. C2×C22⋊D11#41semidirect
827. C2×#525D11semidirect
935. C22⋊D11C2×#41semidirect
987. C22×#41C2×D11semidirect
993. C24×C4C2×D11semidirect
1043. #525C2×D11semidirect
1070. C2×#123C2×D11semidirect
1071. C2×#123C2×D11semidirect
1083. C2×C22⋊Q8C2×D11semidirect
1084. C2×C22⋊Q8C2×D11semidirect
1100. C2×#121C2×D11semidirect
1101. C2×#121C2×D11semidirect
1109. C2×#120C2×D11semidirect
1141. C2×C4×D4C2×D11semidirect
1142. C2×C4×D4C2×D11semidirect
1143. C2×C4×D4C2×D11semidirect
1144. C2×C4×D4C2×D11semidirect
1153. C2×#117C2×D11semidirect
1246. C2×#41C22×D11semidirect
1313. C23×C4C22×D11semidirect
1362. #123C22×D11semidirect
1363. #123C22×D11semidirect
1375. C22⋊Q8C22×D11semidirect
1376. C22⋊Q8C22×D11semidirect
1392. #121C22×D11semidirect
1393. #121C22×D11semidirect
1401. #120C22×D11semidirect
1430. C4×D4C22×D11semidirect
1431. C4×D4C22×D11semidirect
1432. C4×D4C22×D11semidirect
1433. C4×D4C22×D11semidirect
1442. #117C22×D11semidirect
1561. C2×C11#3513semidirect
1831. C11C2×#3513semidirect
2059. C2#13082542direct (N × H)

Maximal subgroups

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

subgroupindex
#130825422
C2×#106230902
C2×#106231672
C2×#106230892
C2×#106230712
C2×#106231322
C2×#106230622
C2×#106231182
C2×#106230872
C2×#106231682
C2×#106230582
C2×#106233552
C2×#106231412
C2×#106233602
C2×#106231222
C2×#106231212
C2×#106231712
C2×#106231462
C2×#106231692
C2×#106230952
C2×#106230912
C2×#106231442
C2×#106231802
C2×#106231872
C22×#669822
C2×D11×#1232
C2×#106230772
C2×#106230762
C22×C4×C22⋊D112
C2×C11×#5252
C2×#351311