Finite Group Databasebeta

← C2×#13082786 #15661036

Subgroups — C2×#13082786 #15661036

Order 2816.

7430 conjugacy classes of subgroups.

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

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#13082786C2132yesmaximal, direct product factor
2C2×#10623266C211yesmaximal, characteristic, complemented
3C2×#10623198C211yesmaximal, characteristic, complemented
4C2×#10623178C211yesmaximal, characteristic, complemented
5C2×#10623151C211yesmaximal, characteristic, complemented
6C2×#10623195C211yesmaximal, characteristic, complemented
7C2×#10623071C211yesmaximal, characteristic, complemented
8C2×#10623045C211yesmaximal, characteristic, complemented
9C2×#10623181C211yesmaximal, characteristic, complemented
10C2×#10623044C211yesmaximal, characteristic, complemented
11C2×#10623087C211yesmaximal, characteristic, complemented
12C2×#10623168C211yesmaximal, characteristic, complemented
13C2×#10623189C211yesmaximal, characteristic, complemented
14C2×#10623355C211yesmaximal, characteristic, complemented
15C2×#10623141C211yesmaximal, characteristic, complemented
16C2×#10623360C211yesmaximal, characteristic, complemented
17C2×#10623264C211yesmaximal, characteristic, complemented
18C2×#10623171C211yesmaximal, characteristic, complemented
19C2×#10623194C211yesmaximal, characteristic, complemented
20C2×#10623146C211yesmaximal, characteristic, complemented
21C2×#10623176C211yesmaximal, characteristic, complemented
22C2×#10623046C211yesmaximal, characteristic, complemented
23C2×#10623148C211yesmaximal, characteristic, complemented
24C2×#10623188C211yesmaximal, characteristic, complemented
25C2×#10623091C211yesmaximal, characteristic, complemented
26C2×#10623091C211yesmaximal, characteristic, complemented
27C2×#10623361C211yesmaximal, characteristic, complemented
28C2×#10623184C211yesmaximal, characteristic, complemented
29C2×#10623187C211yesmaximal, characteristic, complemented
30C2×#10623359C211yesmaximal, characteristic, complemented
31C22×#66947C211yesmaximal, characteristic, complemented
32C2×C11×#547C211yesmaximal, characteristic, complemented
33C22×C11×#41C2211yescharacteristic
34C22×C11×#41C2211yescharacteristic, complemented
35C22×#4341C2211yescharacteristic
36C22×D4×D11C2211yescharacteristic
37C23×D44C2211yescharacteristic
38C23×C4×D11C2211yescharacteristic, complemented
39C11×#547C22116yescomplemented
40C2×C11×C4⋊Q8C2211yescharacteristic, complemented
41C2×C11×#123C2211yescharacteristic
42C2×C11×#123C2211yescharacteristic, complemented
43C2×C11×#123C2211yescharacteristic, complemented
44C2×C11×#123C2211yescharacteristic, complemented
45C2×C11×C22⋊Q8C2211yescharacteristic, complemented
46C2×C11×C22⋊Q8C2211yescharacteristic, complemented
47C2×C11×#121C2211yescharacteristic
48C2×C11×#121C2211yescharacteristic, complemented
49C2×C4×D4×C11C2211yescharacteristic, complemented
50C2×C4×D4×C11C2211yescharacteristic, complemented
51C22×C11×C4⋊C4C2211yescharacteristic, complemented
52C22×C11×C4⋊C4C2211yescharacteristic, complemented
53#10623361C22116yescomplemented
54#10623360C22116yescomplemented
55#10623359C22116yescomplemented
56#10623355C22116yescomplemented
57C2×#67000C2211yescharacteristic
58C2×#67000C2211yescharacteristic, complemented
59C2×#67000C2211yescharacteristic, complemented
60C2×#66999C2211yescharacteristic, complemented
61C2×#66999C2211yescharacteristic, complemented
62C2×#66999C2211yescharacteristic, complemented
63C2×#66999C2211yescharacteristic, complemented
64C2×#66997C2211yescharacteristic, complemented
65C2×#66993C2211yescharacteristic
66C2×#66993C2211yescharacteristic, complemented
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
77C2×#66990C2211yescharacteristic
78C2×#66990C2211yescharacteristic, complemented
79C2×#66990C2211yescharacteristic, complemented
80C2×#66990C2211yescharacteristic, complemented
81C2×#66990C2211yescharacteristic, complemented
82C2×#66988C2211yescharacteristic
83C2×#66988C2211yescharacteristic, complemented
84C2×#66988C2211yescharacteristic, complemented
85C2×D4×Dic11C2211yescharacteristic
86C2×D4×Dic11C2211yescharacteristic, complemented
87C2×#66983C2211yescharacteristic
88C2×#66983C2211yescharacteristic
89C2×#66983C2211yescharacteristic, complemented
90C2×#66983C2211yescharacteristic, complemented
91C2×#66983C2211yescharacteristic, complemented
92C2×#66983C2211yescharacteristic, complemented
93C2×#66982C2211yescharacteristic
94C2×#66982C2211yescharacteristic
95C2×#66982C2211yescharacteristic, complemented
96C2×#66982C2211yescharacteristic, complemented
97C2×#66982C2211yescharacteristic, complemented
98C2×#66982C2211yescharacteristic, complemented
99C2×C4×C22⋊D11C2211yescharacteristic
100C2×C4×C22⋊D11C2211yescharacteristic, complemented
101C2×C4×C22⋊D11C2211yescharacteristic, complemented
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
107C22×(C2×D11)⋊C4C2211yescharacteristic
108C22×(C2×D11)⋊C4C2211yescharacteristic
109C22×(C2×D11)⋊C4C2211yescharacteristic, complemented
110C22×(C2×D11)⋊C4C2211yescharacteristic, complemented
111C2×#66979C2211yescharacteristic, complemented
112C2×#66979C2211yescharacteristic, complemented
113C2×#66977C2211yescharacteristic, complemented
114C2×#66977C2211yescharacteristic, complemented
115C22×Dic11⋊C4C2211yescharacteristic, complemented
116C22×Dic11⋊C4C2211yescharacteristic, complemented
117#10623266C22116yescomplemented
118#10623264C22116yescomplemented
119#10623198C22116yescomplemented
120#10623195C22116yescomplemented
121#10623194C22116yescomplemented
122#10623189C22116yescomplemented
123#10623188C22116yescomplemented
124#10623187C22116yescomplemented
125#10623184C22116yescomplemented
126#10623181C22116yescomplemented
127#10623178C22116yescomplemented
128#10623176C22116yescomplemented
129#10623171C22116yescomplemented
130#10623168C22116yescomplemented
131#10623151C22116yescomplemented
132#10623148C22116yescomplemented
133#10623146C22116yescomplemented
134#10623141C22116yescomplemented
135#10623091C22116yescomplemented
136#10623091C22116yescomplemented
137#10623087C22116yescomplemented
138#10623071C22116yescomplemented
139#10623046C22116yescomplemented
140#10623045C22116yescomplemented
141#10623044C22116yescomplemented
142C2×#66951C2211yescharacteristic, complemented
143C2×#66951C2211yescharacteristic, complemented
144C2×#66951C2211yescharacteristic, complemented
145C2×#66951C2211yescharacteristic, complemented
146C2×#66951C2211yescharacteristic, complemented
147C2×#66951C2211yescharacteristic, complemented
148C2×#66951C2211yescharacteristic, complemented
149C2×#66951C2211yescharacteristic, complemented
150C2×#66950C2211yescharacteristic, complemented
151C2×#66950C2211yescharacteristic, complemented
152C2×#66949C2211yescharacteristic, complemented
153C2×#66949C2211yescharacteristic, complemented
154C2×#66949C2211yescharacteristic, complemented
155C2×#66949C2211yescharacteristic, complemented
156C2×#66948C2211yescharacteristic
157C2×#66948C2211yescharacteristic
158C2×#66947C2211yescharacteristic
159C2×#66947C2211yescharacteristic
160C2×#66947C2211yescharacteristic
161C2×#66947C2211yescharacteristic
162C2×#66947C2211yescharacteristic
163C2×#66947C2211yescharacteristic
164C2×#66947C22116yescomplemented
165C2×#66947C2211yescharacteristic, complemented
166C2×#66947C2211yescharacteristic, complemented
167C2×#66947C2211yescharacteristic, complemented
168C2×#66947C2211yescharacteristic, complemented
169C2×#66947C2211yescharacteristic, complemented
170C2×#66947C2211yescharacteristic, complemented
171C2×#66946C2211yescharacteristic, complemented
172C2×#66946C2211yescharacteristic, complemented
173C2×#66945C2211yescharacteristic, complemented
174C2×#66945C2211yescharacteristic, complemented
175C2×#66943C2211yescharacteristic, complemented
176C2×#66943C2211yescharacteristic, complemented
177C2×#66942C2211yescharacteristic, complemented
178C2×#66942C2211yescharacteristic, complemented
179C2×#66942C2211yescharacteristic, complemented
180C2×#66942C2211yescharacteristic, complemented
181C2×#66940C2211yescharacteristic, complemented
182C2×#66940C2211yescharacteristic, complemented
183C2×#66939C2211yescharacteristic, complemented
184C2×#66939C2211yescharacteristic, complemented
185C2×#66939C2211yescharacteristic, complemented
186C2×#66938C2211yescharacteristic, complemented
187C2×#66938C2211yescharacteristic, complemented
188C2×#66938C2211yescharacteristic, complemented
189C2×#66938C2211yescharacteristic, complemented
190C2×#66938C2211yescharacteristic, complemented
191C2×#66938C2211yescharacteristic, complemented
192C2×#66937C2211yescharacteristic
193C2×#66937C2211yescharacteristic
194C2×#66937C2211yescharacteristic, complemented
195C2×#66937C2211yescharacteristic, complemented
196C2×#66937C2211yescharacteristic, complemented
197C2×#66937C2211yescharacteristic, complemented
198C2×#66936C2211yescharacteristic, complemented
199C2×#66936C2211yescharacteristic, complemented
200C2×#66935C2211yescharacteristic
201C2×#66935C2211yescharacteristic
202C2×#66935C2211yescharacteristic
203C2×(C22⋊D11)⋊C4C2211yescharacteristic, complemented
204C2×(C22⋊D11)⋊C4C2211yescharacteristic, complemented
205C2×(C22⋊D11)⋊C4C2211yescharacteristic, complemented
206C2×(C22⋊D11)⋊C4C2211yescharacteristic, complemented
207C2×C22⋊C4×D11C2211yescharacteristic
208C2×C22⋊C4×D11C2211yescharacteristic, complemented
209C2×#66932C2211yescharacteristic, complemented
210C2×#66932C2211yescharacteristic, complemented
211C2×#66931C2211yescharacteristic, complemented
212C2×#66931C2211yescharacteristic, complemented
213C2×#66930C2211yescharacteristic, complemented
214C2×#66930C2211yescharacteristic, complemented
215C2×#66929C2211yescharacteristic, complemented
216C2×#66929C2211yescharacteristic, complemented
217C2×#66928C2211yescharacteristic, complemented
218C2×#66925C2211yescharacteristic, complemented
219C24×D11C2311yescharacteristic
220C24×D11C2311yescharacteristic
221C24×D11C2311yescharacteristic
222C2×C11×#41—44no—
223C2×C11×#41—44no—
224C2×C11×#41C2318yes—
225C2×C11×#41C2318yescomplemented
226C22×Q8×C11C2311yescharacteristic
227C22×Q8×C11C2311yescharacteristic
228C22×D4×C11C2311yescharacteristic
229C22×D4×C11C2311yescharacteristic
230C22×D4×C11C2311yescharacteristic
231C22×D4×C11C2311yescharacteristic
232C22×D4×C11C2311yescharacteristic
233C22×D4×C11C2311yescharacteristic
234C23×C4×C11C2311yescharacteristic
235C23×C4×C11C2311yescharacteristic
236C23×C4×C11C2311yescharacteristic
237C23×C4×C11C2311yescharacteristic
238C23×C4×C11C2311yescharacteristic
239C23×C4×C11C2311yescharacteristic
240C23×C4×C11C2311yescharacteristic
241C23×C4×C11C2311yescharacteristic
242C22×C22⋊D11C2311yescharacteristic
243C22×C22⋊D11C2311yescharacteristic
244C22×C22⋊D11C2311yescharacteristic
245C22×C22⋊D11C2311yescharacteristic
246C22×C22⋊D11C2311yescharacteristic
247C22×C22⋊D11C2311yescharacteristic
248C22×C22⋊D11C2311yescharacteristic
249C22×C22⋊D11C2311yescharacteristic
250C22×C22⋊D11C2311yescharacteristic
251C22×C22⋊D11C2311yescharacteristic
252C22×C22⋊D11C2311yescharacteristic
253C22×C22⋊D11C2311yescharacteristic
254C22×C22⋊D11C2311yescharacteristic
255C22×C22⋊D11C2311yescharacteristic
256C23×Dic11C2311yescharacteristic
257C23×Dic11C2311yescharacteristic
258C23×Dic11C2311yescharacteristic
259C23×Dic11C2311yescharacteristic
260C23×Dic11C2311yescharacteristic
261C2×#4341—44no—
262C2×#4341C2318yes—
263C2×D4×D11—44no—
264C2×D4×D11C2318yes—
265C22×D44—44no—
266C22×D44C2311yescharacteristic
267C22×D44C2311yescharacteristic
268C22×D44C2311yescharacteristic
269C22×D44C2311yescharacteristic
270C22×D44C2311yescharacteristic
271C22×D44C2311yescharacteristic
272C22×D44C2311yescharacteristic
273C22×D44C2318yes—
274C22×C4×D11—44no—
275C22×C4×D11C2311yescharacteristic
276C22×C4×D11C2311yescharacteristic
277C22×C4×D11C2311yescharacteristic
278C22×C4×D11C2311yescharacteristic
279C22×C4×D11C2311yescharacteristic
280C22×C4×D11C2311yescharacteristic
281C22×C4×D11C2311yescharacteristic
282C22×C4×D11C2311yescharacteristic
283C22×C4×D11C2311yescharacteristic
284C22×C4×D11C2318yescomplemented
285C22×Dic22C2311yescharacteristic
286C22×Dic22C2311yescharacteristic
287C22×Dic22C2311yescharacteristic
288C11×C4⋊Q8C2318yescomplemented
289C11×#123C2318yes—
290C11×#123C2318yescomplemented
291C11×#123C2318yescomplemented
292C11×#123C2318yescomplemented
293C11×C22⋊Q8C2318yescomplemented
294C11×C22⋊Q8C2318yescomplemented
295C11×#121C2318yes—
296C11×#121C2318yescomplemented
297C4×D4×C11C2318yescomplemented
298C4×D4×C11C2318yescomplemented
299C2×C11×C4⋊C4C2311yescharacteristic
300C2×C11×C4⋊C4C2311yescharacteristic
301C2×C11×C4⋊C4C2311yescharacteristic
302C2×C11×C4⋊C4C2311yescharacteristic
303C2×C11×C4⋊C4C2311yescharacteristic
304C2×C11×C4⋊C4C2311yescharacteristic
305C2×C11×C4⋊C4C2311yescharacteristic
306C2×C11×C4⋊C4C2311yescharacteristic
307C2×C11×C4⋊C4C2311yescharacteristic
308C2×C11×C4⋊C4C2311yescharacteristic
309C2×C11×C4⋊C4C2318yescomplemented
310C2×C11×C4⋊C4C2318yescomplemented
311C2×C11×C22⋊C4C2311yescharacteristic
312C2×C11×C22⋊C4C2311yescharacteristic
313C2×C11×C22⋊C4C2311yescharacteristic
314C2×C11×C22⋊C4C2311yescharacteristic
315C2×C11×C22⋊C4C2311yescharacteristic
316C2×C11×C22⋊C4C2311yescharacteristic
317C2×C11×C22⋊C4C2311yescharacteristic
318C2×C11×C22⋊C4C2311yescharacteristic
319C2×C42×C11C2311yescharacteristic
320C2×C22⋊Dic11C2311yescharacteristic
321C2×C22⋊Dic11C2311yescharacteristic
322C2×C22⋊Dic11C2311yescharacteristic
323C2×C22⋊Dic11C2311yescharacteristic
324C2×C22⋊Dic11C2311yescharacteristic
325C2×C22⋊Dic11C2311yescharacteristic
326C2×C22⋊Dic11C2311yescharacteristic
327C2×C22⋊Dic11C2311yescharacteristic
328C2×C22⋊Dic11C2311yescharacteristic
329C2×C22⋊Dic11C2311yescharacteristic
330#67000C2318yes—
331#67000C2318yescomplemented
332#67000C2318yescomplemented
333#66999C2318yescomplemented
334#66999C2318yescomplemented
335#66999C2318yescomplemented
336#66999C2318yescomplemented
337#66997C2318yescomplemented
338#66993C2318yes—
339#66993C2318yescomplemented
340#66992C2318yes—
341#66992C2318yescomplemented
342#66992C2318yescomplemented
343#66992C2318yescomplemented
344#66992C2318yescomplemented
345#66992C2318yescomplemented
346#66991C2318yescomplemented
347#66991C2318yescomplemented
348#66990C2318yes—
349#66990C2318yes—
350#66990C2318yes—
351#66990C2318yescomplemented
352#66990C2318yescomplemented
353#66990C2318yescomplemented
354#66990C2318yescomplemented
355#66988C2318yes—
356#66988C2318yescomplemented
357#66988C2318yescomplemented
358D4×Dic11C2318yes—
359D4×Dic11C2318yescomplemented
360#66983C2318yes—
361#66983C2318yes—
362#66983C2318yescomplemented
363#66983C2318yescomplemented
364#66983C2318yescomplemented
365#66983C2318yescomplemented
366#66982C2318yes—
367#66982C2318yes—
368#66982C2318yescomplemented
369#66982C2318yescomplemented
370#66982C2318yescomplemented
371#66982C2318yescomplemented
372C4×C22⋊D11C2318yes—
373C4×C22⋊D11C2318yescomplemented
374C4×C22⋊D11C2318yescomplemented
375C4×C22⋊D11C2318yescomplemented
376C4×C22⋊D11C2318yescomplemented
377C4×C22⋊D11C2318yescomplemented
378C4×C22⋊D11C2318yescomplemented
379C4×C22⋊D11C2318yescomplemented
380C2×(C2×D11)⋊C4C2311yescharacteristic
381C2×(C2×D11)⋊C4C2311yescharacteristic
382C2×(C2×D11)⋊C4C2311yescharacteristic
383C2×(C2×D11)⋊C4C2311yescharacteristic
384C2×(C2×D11)⋊C4C2311yescharacteristic
385C2×(C2×D11)⋊C4C2311yescharacteristic
386C2×(C2×D11)⋊C4C2311yescharacteristic
387C2×(C2×D11)⋊C4C2311yescharacteristic
388C2×(C2×D11)⋊C4C2311yescharacteristic
389C2×(C2×D11)⋊C4C2311yescharacteristic
390C2×(C2×D11)⋊C4C2311yescharacteristic
391C2×(C2×D11)⋊C4C2311yescharacteristic
392C2×(C2×D11)⋊C4C2311yescharacteristic
393C2×(C2×D11)⋊C4C2311yescharacteristic
394C2×(C2×D11)⋊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)⋊C4C2318yes—
413C2×(C2×D11)⋊C4C2318yes—
414C2×(C2×D11)⋊C4C2318yescomplemented
415C2×(C2×D11)⋊C4C2318yescomplemented
416#66979C2318yescomplemented
417#66979C2318yescomplemented
418C2×C4⋊Dic11C2311yescharacteristic
419C2×C4⋊Dic11C2311yescharacteristic
420C2×C4⋊Dic11C2311yescharacteristic
421C2×C4⋊Dic11C2311yescharacteristic
422C2×C4⋊Dic11C2311yescharacteristic
423C2×C4⋊Dic11C2311yescharacteristic
424C2×C4⋊Dic11C2311yescharacteristic
425C2×C4⋊Dic11C2311yescharacteristic
426#66977C2318yescomplemented
427#66977C2318yescomplemented
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⋊C4C2318yescomplemented
449C2×Dic11⋊C4C2318yescomplemented
450C2×C4×Dic11C2311yescharacteristic
451C2×C4×Dic11C2311yescharacteristic
452C2×C4×Dic11C2311yescharacteristic
453C2×C4×Dic11C2311yescharacteristic
454C2×C4×Dic11C2311yescharacteristic
455C2×C4×Dic11C2311yescharacteristic
456C2×C4×Dic11C2311yescharacteristic
457C2×C4×Dic11C2311yescharacteristic
458C2×C4×Dic11C2311yescharacteristic
459#66951C2318yescomplemented
460#66951C2318yescomplemented
461#66951C2318yescomplemented
462#66951C2318yescomplemented
463#66951C2318yescomplemented
464#66951C2318yescomplemented
465#66951C2318yescomplemented
466#66951C2318yescomplemented
467#66950C2318yescomplemented
468#66950C2318yescomplemented
469#66949C2318yescomplemented
470#66949C2318yescomplemented
471#66949C2318yescomplemented
472#66949C2318yescomplemented
473#66948C2318yes—
474#66948C2318yes—
475#66947C2318yes—
476#66947C2318yes—
477#66947C2318yes—
478#66947C2318yes—
479#66947C2318yes—
480#66947C2318yes—
481#66947C2318yescomplemented
482#66947C2318yescomplemented
483#66947C2318yescomplemented
484#66947C2318yescomplemented
485#66947C2318yescomplemented
486#66947C2318yescomplemented
487#66946C2318yescomplemented
488#66946C2318yescomplemented
489#66945C2318yescomplemented
490#66945C2318yescomplemented
491#66943C2318yescomplemented
492#66943C2318yescomplemented
493#66942C2318yescomplemented
494#66942C2318yescomplemented
495#66942C2318yescomplemented
496#66942C2318yescomplemented
497#66940C2318yescomplemented
498#66940C2318yescomplemented
499#66939C2318yescomplemented
500#66939C2318yescomplemented
501#66939C2318yescomplemented
502#66938C2318yescomplemented
503#66938C2318yescomplemented
504#66938C2318yescomplemented
505#66938C2318yescomplemented
506#66938C2318yescomplemented
507#66938C2318yescomplemented
508#66937C2318yes—
509#66937C2318yes—
510#66937C2318yescomplemented
511#66937C2318yescomplemented
512#66937C2318yescomplemented
513#66937C2318yescomplemented
514#66936C2318yescomplemented
515#66936C2318yescomplemented
516#66935C2318yes—
517#66935C2318yes—
518#66935C2318yes—
519(C22⋊D11)⋊C4C2318yescomplemented
520(C22⋊D11)⋊C4C2318yescomplemented
521(C22⋊D11)⋊C4C2318yescomplemented
522(C22⋊D11)⋊C4C2318yescomplemented
523C22⋊C4×D11C2318yes—
524C22⋊C4×D11C2318yescomplemented
525#66932C2318yescomplemented
526#66932C2318yescomplemented
527#66931C2318yescomplemented
528#66931C2318yescomplemented
529#66930C2318yescomplemented
530#66930C2318yescomplemented
531#66929C2318yescomplemented
532#66929C2318yescomplemented
533#66928C2318yescomplemented
534#66925C2318yescomplemented
535C2×#3533—111nomaximal, Sylow
536C24×C11C2411yescharacteristic
537C24×C11C2411yescharacteristic
538C24×C11C2411yescharacteristic
539C24×C11C2411yescharacteristic
540C23×D11—24no—
541C23×D11—24no—
542C23×D11—42no—
543C23×D11—42no—
544C23×D11—42no—
545C23×D11—42no—
546C23×D11—42no—
547C23×D11—42no—
548C23×D11—42no—
549C23×D11C2411yescharacteristic
550C23×D11C2411yescharacteristic
551C23×D11C2411yescharacteristic
552C23×D11C2411yescharacteristic
553C23×D11C2411yescharacteristic
554C23×D11C2414yes—
555C23×D11C2414yes—
556C23×D11C2414yes—
557C11×#41—416no—
558C11×#41—416no—
559C2×Q8×C11—42no—
560C2×Q8×C11—42no—
561C2×Q8×C11C2414yes—
562C2×Q8×C11C2414yes—
563C2×D4×C11—24no—
564C2×D4×C11—24no—
565C2×D4×C11—24no—
566C2×D4×C11—42no—
567C2×D4×C11—42no—
568C2×D4×C11—42no—
569C2×D4×C11C2414yes—
570C2×D4×C11C2414yes—
571C2×D4×C11C2414yes—
572C2×D4×C11C2414yes—
573C2×D4×C11C2414yes—
574C2×D4×C11C2414yes—
575C22×C4×C11—24no—
576C22×C4×C11—24no—
577C22×C4×C11—42no—
578C22×C4×C11—42no—
579C22×C4×C11—42no—
580C22×C4×C11—42no—
581C22×C4×C11—42no—
582C22×C4×C11—42no—
583C22×C4×C11C2411yescharacteristic
584C22×C4×C11C2411yescharacteristic
585C22×C4×C11C2411yescharacteristic
586C22×C4×C11C2411yescharacteristic
587C22×C4×C11C2411yescharacteristic
588C22×C4×C11C2411yescharacteristic
589C22×C4×C11C2411yescharacteristic
590C22×C4×C11C2411yescharacteristic
591C22×C4×C11C2411yescharacteristic
592C22×C4×C11C2411yescharacteristic
593C22×C4×C11C2411yescharacteristic
594C22×C4×C11C2414yes—
595C22×C4×C11C2414yes—
596C22×C4×C11C2414yes—
597C22×C4×C11C2414yes—
598C22×C4×C11C2414yes—
599C22×C4×C11C2414yes—
600C22×C4×C11C2414yes—
601C22×C4×C11C2414yes—
602C2×C22⋊D11—24no—
603C2×C22⋊D11—42no—
604C2×C22⋊D11—42no—
605C2×C22⋊D11—42no—
606C2×C22⋊D11—42no—
607C2×C22⋊D11—42no—
608C2×C22⋊D11—42no—
609C2×C22⋊D11—42no—
610C2×C22⋊D11—42no—
611C2×C22⋊D11—42no—
612C2×C22⋊D11—42no—
613C2×C22⋊D11—42no—
614C2×C22⋊D11—42no—
615C2×C22⋊D11—42no—
616C2×C22⋊D11C2414yes—
617C2×C22⋊D11C2414yes—
618C2×C22⋊D11C2414yes—
619C2×C22⋊D11C2414yes—
620C2×C22⋊D11C2414yes—
621C2×C22⋊D11C2414yes—
622C2×C22⋊D11C2414yes—
623C2×C22⋊D11C2414yes—
624C2×C22⋊D11C2414yes—
625C2×C22⋊D11C2414yes—
626C2×C22⋊D11C2414yes—
627C2×C22⋊D11C2414yes—
628C2×C22⋊D11C2414yes—
629C2×C22⋊D11C2414yes—
630C22×Dic11—24no—
631C22×Dic11—42no—
632C22×Dic11—42no—
633C22×Dic11—42no—
634C22×Dic11—42no—
635C22×Dic11C2414yes—
636C22×Dic11C2411yescharacteristic
637C22×Dic11C2411yescharacteristic
638C22×Dic11C2411yescharacteristic
639C22×Dic11C2411yescharacteristic
640C22×Dic11C2411yescharacteristic
641C22×Dic11C2411yescharacteristic
642C22×Dic11C2411yescharacteristic
643C22×Dic11C2411yescharacteristic
644C22×Dic11C2411yescharacteristic
645C22×Dic11C2411yescharacteristic
646C22×Dic11C2411yescharacteristic
647C22×Dic11C2414yes—
648C22×Dic11C2414yes—
649C22×Dic11C2414yes—
650C22×Dic11C2414yes—
651#4341—416no—
652D4×D11—416no—
653C2×D44—42no—
654C2×D44—42no—
655C2×D44—42no—
656C2×D44—42no—
657C2×D44—416no—
658C2×D44—42no—
659C2×D44—42no—
660C2×D44—42no—
661C2×D44C2414yes—
662C2×D44C2414yes—
663C2×D44C2414yes—
664C2×D44C2414yes—
665C2×D44C2414yes—
666C2×D44C2414yes—
667C2×D44C2414yes—
668C2×C4×D11—42no—
669C2×C4×D11—42no—
670C2×C4×D11—42no—
671C2×C4×D11—42no—
672C2×C4×D11—416no—
673C2×C4×D11—42no—
674C2×C4×D11—42no—
675C2×C4×D11—42no—
676C2×C4×D11—42no—
677C2×C4×D11—42no—
678C2×C4×D11C2414yes—
679C2×C4×D11C2414yes—
680C2×C4×D11C2414yes—
681C2×C4×D11C2414yes—
682C2×C4×D11C2414yes—
683C2×C4×D11C2414yes—
684C2×C4×D11C2414yes—
685C2×C4×D11C2414yes—
686C2×C4×D11C2414yes—
687C2×Dic22—42no—
688C2×Dic22—42no—
689C2×Dic22—42no—
690C2×Dic22C2414yes—
691C2×Dic22C2414yes—
692C2×Dic22C2414yes—
693C11×C4⋊C4C2414yes—
694C11×C4⋊C4C2414yes—
695C11×C4⋊C4C2414yes—
696C11×C4⋊C4C2414yes—
697C11×C4⋊C4C2414yes—
698C11×C4⋊C4C2414yes—
699C11×C4⋊C4C2414yes—
700C11×C4⋊C4C2414yes—
701C11×C4⋊C4C2414yes—
702C11×C4⋊C4C2414yes—
703C11×C22⋊C4C2414yes—
704C11×C22⋊C4C2414yes—
705C11×C22⋊C4C2414yes—
706C11×C22⋊C4C2414yes—
707C11×C22⋊C4C2414yes—
708C11×C22⋊C4C2414yes—
709C11×C22⋊C4C2414yes—
710C11×C22⋊C4C2414yes—
711C42×C11C2414yes—
712C22⋊Dic11C2414yes—
713C22⋊Dic11C2414yes—
714C22⋊Dic11C2414yes—
715C22⋊Dic11C2414yes—
716C22⋊Dic11C2414yes—
717C22⋊Dic11C2414yes—
718C22⋊Dic11C2414yes—
719C22⋊Dic11C2414yes—
720C22⋊Dic11C2414yes—
721C22⋊Dic11C2414yes—
722(C2×D11)⋊C4C2414yes—
723(C2×D11)⋊C4C2414yes—
724(C2×D11)⋊C4C2414yes—
725(C2×D11)⋊C4C2414yes—
726(C2×D11)⋊C4C2414yes—
727(C2×D11)⋊C4C2414yes—
728(C2×D11)⋊C4C2414yes—
729(C2×D11)⋊C4C2414yes—
730(C2×D11)⋊C4C2414yes—
731(C2×D11)⋊C4C2414yes—
732(C2×D11)⋊C4C2414yes—
733(C2×D11)⋊C4C2414yes—
734(C2×D11)⋊C4C2414yes—
735(C2×D11)⋊C4C2414yes—
736(C2×D11)⋊C4C2414yes—
737(C2×D11)⋊C4C2414yes—
738(C2×D11)⋊C4C2414yes—
739(C2×D11)⋊C4C2414yes—
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—
754C4⋊Dic11C2414yes—
755C4⋊Dic11C2414yes—
756C4⋊Dic11C2414yes—
757C4⋊Dic11C2414yes—
758C4⋊Dic11C2414yes—
759C4⋊Dic11C2414yes—
760C4⋊Dic11C2414yes—
761C4⋊Dic11C2414yes—
762Dic11⋊C4C2414yes—
763Dic11⋊C4C2414yes—
764Dic11⋊C4C2414yes—
765Dic11⋊C4C2414yes—
766Dic11⋊C4C2414yes—
767Dic11⋊C4C2414yes—
768Dic11⋊C4C2414yes—
769Dic11⋊C4C2414yes—
770Dic11⋊C4C2414yes—
771Dic11⋊C4C2414yes—
772Dic11⋊C4C2414yes—
773Dic11⋊C4C2414yes—
774Dic11⋊C4C2414yes—
775Dic11⋊C4C2414yes—
776Dic11⋊C4C2414yes—
777Dic11⋊C4C2414yes—
778Dic11⋊C4C2414yes—
779Dic11⋊C4C2414yes—
780Dic11⋊C4C2414yes—
781Dic11⋊C4C2414yes—
782C4×Dic11C2414yes—
783C4×Dic11C2414yes—
784C4×Dic11C2414yes—
785C4×Dic11C2414yes—
786C4×Dic11C2414yes—
787C4×Dic11C2414yes—
788C4×Dic11C2414yes—
789C4×Dic11C2414yes—
790C4×Dic11C2414yes—
791#3533—1132no—
792C2×#563—111no—
793C2×#562—111no—
794C2×#562—111no—
795C2×#560—111no—
796C2×#559—111no—
797C2×#553—111no—
798C2×#553—111no—
799C2×#552—111no—
800C2×#552—111no—
801C2×#551—111no—
802C2×#551—111no—
803C2×#551—111no—
804C2×#547—111no—
805C2×#547D1111yescharacteristic, complemented
806C2×#546—111no—
807C2×#546—111no—
808C2×#542—111no—
809C2×#542—111no—
810C2×#540—111no—
811C2×#540—111no—
812C2×#539—111no—
813C2×#539—111no—
814C2×#538—111no—
815C2×#538—111no—
816C2×#538—111no—
817C2×#538—111no—
818C2×#535—111no—
819C2×#534—111no—
820C2×#525—111no—
821C2×#525—111no—
822C22×#123—111no—
823C23×C11—22no—
824C23×C11—22no—
825C23×C11—22no—
826C23×C11—22no—
827C23×C11—22no—
828C23×C11—22no—
829C23×C11—22no—
830C23×C11—22no—
831C23×C11—22no—
832C23×C11—22no—
833C23×C11—22no—
834C23×C11H(5,𝔽2)14yes—
835C23×C11C2512yes—
836C23×C11C2512yes—
837C23×C11C2512yes—
838C23×C11C2512yes—
839C23×C11C2511yescharacteristic
840C22×D11—28no—
841C22×D11—22no—
842C22×D11—22no—
843C22×D11—22no—
844C22×D11—22no—
845C22×D11—22no—
846C22×D11—22no—
847C22×D11—22no—
848C22×D11—22no—
849C22×D11—22no—
850C22×D11—22no—
851C22×D11—22no—
852C22×D11—22no—
853C22×D11—22no—
854C22×D11—22no—
855C22×D11—22no—
856C22×D11—28no—
857C22×D11—44no—
858C22×D11—44no—
859C22×D11—44no—
860C22×D11—44no—
861C22×D11—44no—
862C22×D11—44no—
863C22×D11—44no—
864C22×D11—416no—
865C22×D11—88no—
866C22×D11—88no—
867C22×D11C2512yes—
868C22×D11C2512yes—
869C22×D11C2512yes—
870C22×D11C2512yes—
871C22×D11C2512yes—
872Q8×C11—44no—
873Q8×C11—44no—
874D4×C11—28no—
875D4×C11—28no—
876D4×C11—28no—
877D4×C11—44no—
878D4×C11—44no—
879D4×C11—44no—
880C2×C4×C11—22no—
881C2×C4×C11—22no—
882C2×C4×C11—22no—
883C2×C4×C11—28no—
884C2×C4×C11—22no—
885C2×C4×C11—22no—
886C2×C4×C11—22no—
887C2×C4×C11—28no—
888C2×C4×C11—22no—
889C2×C4×C11—22no—
890C2×C4×C11—22no—
891C2×C4×C11—22no—
892C2×C4×C11—22no—
893C2×C4×C11—44no—
894C2×C4×C11—44no—
895C2×C4×C11—44no—
896C2×C4×C11—44no—
897C2×C4×C11—44no—
898C2×C4×C11—44no—
899C2×C4×C11C2512yes—
900C2×C4×C11C2512yes—
901C2×C4×C11C2512yes—
902C2×C4×C11C2512yes—
903C2×C4×C11C2512yes—
904C2×C4×C11C2512yes—
905C2×C4×C11C2512yes—
906C2×C4×C11C2512yes—
907C2×C4×C11C2512yes—
908C2×C4×C11C2512yes—
909C2×C4×C11C2512yes—
910C22⋊D11—28no—
911C22⋊D11—44no—
912C22⋊D11—44no—
913C22⋊D11—44no—
914C22⋊D11—44no—
915C22⋊D11—44no—
916C22⋊D11—44no—
917C22⋊D11—44no—
918C22⋊D11—44no—
919C22⋊D11—44no—
920C22⋊D11—44no—
921C22⋊D11—44no—
922C22⋊D11—44no—
923C22⋊D11—44no—
924C2×Dic11—22no—
925C2×Dic11—22no—
926C2×Dic11—22no—
927C2×Dic11—28no—
928C2×Dic11—22no—
929C2×Dic11—22no—
930C2×Dic11—22no—
931C2×Dic11—22no—
932C2×Dic11—22no—
933C2×Dic11—22no—
934C2×Dic11—22no—
935C2×Dic11—22no—
936C2×Dic11—44no—
937C2×Dic11—44no—
938C2×Dic11—44no—
939C2×Dic11—44no—
940C2×Dic11C2512yes—
941C2×Dic11C2512yes—
942C2×Dic11C2512yes—
943C2×Dic11C2512yes—
944C2×Dic11C2512yes—
945C2×Dic11C2512yes—
946C2×Dic11C2512yes—
947C2×Dic11C2512yes—
948C2×Dic11C2512yes—
949C2×Dic11C2512yes—
950C2×Dic11C2512yes—
951D44—44no—
952D44—44no—
953D44—44no—
954D44—44no—
955D44—44no—
956D44—44no—
957D44—44no—
958C4×D11—44no—
959C4×D11—44no—
960C4×D11—44no—
961C4×D11—44no—
962C4×D11—44no—
963C4×D11—44no—
964C4×D11—44no—
965C4×D11—44no—
966C4×D11—44no—
967Dic22—44no—
968Dic22—44no—
969Dic22—44no—
970C22×#41—111no—
971C22×#41C2×D1111yescharacteristic
972C22×#41C2×D1111yescharacteristic, complemented
973C23×D4—111no—
974C23×D4—111no—
975C24×C4—111no—
976#563—1116no—
977#562—1116no—
978#562—1116no—
979#560—1116no—
980#559—1116no—
981#553—1116no—
982#553—1116no—
983#552—1116no—
984#552—1116no—
985#551—1116no—
986#551—1116no—
987#551—1116no—
988#547—1116no—
989#547C2×D11116yescomplemented
990#546—1116no—
991#546—1116no—
992#542—1116no—
993#542—1116no—
994#540—1116no—
995#540—1116no—
996#539—1116no—
997#539—1116no—
998#538—1116no—
999#538—1116no—
1000#538—1116no—
1001#538—1116no—
1002#535—1116no—
1003#534—1116no—
1004C2×C4⋊Q8—111no—
1005C2×C4⋊Q8C2×D1111yescharacteristic, complemented
1006C2×#127—111no—
1007C2×#127—111no—
1008C2×#126—111no—
1009C2×#126—111no—
1010C2×#126—111no—
1011C2×#126—111no—
1012C2×#126—111no—
1013C2×#126—111no—
1014C2×#126—111no—
1015C2×#126—111no—
1016C2×#126—111no—
1017C2×#126—111no—
1018C2×#126—111no—
1019C2×#126—111no—
1020C2×#125—111no—
1021C2×#125—111no—
1022C2×#125—111no—
1023C2×#125—111no—
1024C2×#125—111no—
1025C2×#125—111no—
1026C2×#124—111no—
1027C2×#124—111no—
1028C2×#124—111no—
1029C2×#124—111no—
1030C2×#124—111no—
1031C2×#124—111no—
1032C2×#124—111no—
1033C2×#124—111no—
1034C2×#124—111no—
1035C2×#124—111no—
1036#525—1116no—
1037#525—1116no—
1038C2×#123—111no—
1039C2×#123—111no—
1040C2×#123—111no—
1041C2×#123—111no—
1042C2×#123—111no—
1043C2×#123—111no—
1044C2×#123—111no—
1045C2×#123—111no—
1046C2×#123—111no—
1047C2×#123—111no—
1048C2×#123—111no—
1049C2×#123—111no—
1050C2×#123—111no—
1051C2×#123—111no—
1052C2×#123—111no—
1053C2×#123—111no—
1054C2×#123—111no—
1055C2×#123—111no—
1056C2×#123—111no—
1057C2×#123—111no—
1058C2×#123—111no—
1059C2×#123—1116no—
1060C2×#123—111no—
1061C2×#123—111no—
1062C2×#123—111no—
1063C2×#123—111no—
1064C2×#123—111no—
1065C2×#123C2×D1111yescharacteristic
1066C2×#123C2×D1111yescharacteristic, complemented
1067C2×#123C2×D1111yescharacteristic, complemented
1068C2×#123C2×D1111yescharacteristic, complemented
1069C2×C22⋊Q8—111no—
1070C2×C22⋊Q8—111no—
1071C2×C22⋊Q8—111no—
1072C2×C22⋊Q8—111no—
1073C2×C22⋊Q8—111no—
1074C2×C22⋊Q8—111no—
1075C2×C22⋊Q8—111no—
1076C2×C22⋊Q8—111no—
1077C2×C22⋊Q8—111no—
1078C2×C22⋊Q8—111no—
1079C2×C22⋊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×#121—111no—
1101C2×#121—111no—
1102C2×#121—111no—
1103C2×#121—111no—
1104C2×#121—111no—
1105C2×#121—111no—
1106C2×#121—111no—
1107C2×#121C2×D1111yescharacteristic
1108C2×#121C2×D1111yescharacteristic, complemented
1109C2×#120—111no—
1110C2×#120—111no—
1111C2×#120—111no—
1112C2×#120—111no—
1113C2×#120—111no—
1114C2×#120—111no—
1115C2×#120—111no—
1116C2×#120—111no—
1117C2×#120—111no—
1118C2×#120—111no—
1119C2×C4×Q8—111no—
1120C2×C4×Q8—111no—
1121C2×C4×D4—111no—
1122C2×C4×D4—111no—
1123C2×C4×D4—111no—
1124C2×C4×D4—111no—
1125C2×C4×D4—111no—
1126C2×C4×D4—111no—
1127C2×C4×D4—111no—
1128C2×C4×D4—111no—
1129C2×C4×D4—111no—
1130C2×C4×D4—111no—
1131C2×C4×D4—111no—
1132C2×C4×D4—111no—
1133C2×C4×D4—111no—
1134C2×C4×D4—111no—
1135C2×C4×D4—111no—
1136C2×C4×D4—111no—
1137C2×C4×D4C2×D1111yescharacteristic, complemented
1138C2×C4×D4C2×D1111yescharacteristic, complemented
1139C2×#117—111no—
1140C2×#117—111no—
1141C2×#117—111no—
1142C2×#117—111no—
1143C2×#117—111no—
1144C2×#117—111no—
1145C2×#117—111no—
1146C22×C4⋊C4—111no—
1147C22×C4⋊C4—111no—
1148C22×C4⋊C4C2×D1111yescharacteristic, complemented
1149C22×C4⋊C4C2×D1111yescharacteristic, complemented
1150C22×C22⋊C4—111no—
1151C22×C22⋊C4—111no—
1152C22×C22⋊C4—111no—
1153C22×C22⋊C4—111no—
1154C22×C22⋊C4—111no—
1155C22×C22⋊C4—111no—
1156C22×C11—22no—
1157C22×C11—22no—
1158C22×C11—28no—
1159C22×C11—22no—
1160C22×C11—22no—
1161C22×C11—22no—
1162C22×C11—22no—
1163C22×C11—22no—
1164C22×C11—22no—
1165C22×C11—22no—
1166C22×C11—22no—
1167C22×C11—22no—
1168C22×C11—44no—
1169C22×C11—44no—
1170C22×C11—44no—
1171C22×C11C2×H(5,𝔽2)14yes—
1172C22×C11C2×H(5,𝔽2)12yes—
1173C22×C11#58512yes—
1174C22×C11#58512yes—
1175C22×C11C2611yescharacteristic
1176C2×D11—22no—
1177C2×D11—22no—
1178C2×D11—22no—
1179C2×D11—22no—
1180C2×D11—22no—
1181C2×D11—22no—
1182C2×D11—22no—
1183C2×D11—22no—
1184C2×D11—22no—
1185C2×D11—22no—
1186C2×D11—22no—
1187C2×D11—22no—
1188C2×D11—22no—
1189C2×D11—22no—
1190C2×D11—22no—
1191C2×D11—416no—
1192C2×D11—44no—
1193C2×D11—44no—
1194C2×D11—44no—
1195C2×D11—44no—
1196C2×D11—44no—
1197C2×D11—88no—
1198C2×D11—88no—
1199C4×C11—22no—
1200C4×C11—22no—
1201C4×C11—22no—
1202C4×C11—22no—
1203C4×C11—22no—
1204C4×C11—22no—
1205C4×C11—22no—
1206C4×C11—22no—
1207C4×C11—22no—
1208C4×C11—22no—
1209C4×C11—22no—
1210Dic11—22no—
1211Dic11—22no—
1212Dic11—22no—
1213Dic11—22no—
1214Dic11—22no—
1215Dic11—22no—
1216Dic11—22no—
1217Dic11—22no—
1218Dic11—22no—
1219Dic11—22no—
1220Dic11—22no—
1221C25—111no—
1222C25—111no—
1223C25—111no—
1224C2×#41—44no—
1225C2×#41—44no—
1226C2×#41—118no—
1227C2×#41—444no—
1228C2×#41C22×D1118yes—
1229C2×#41C22×D1118yescomplemented
1230C22×Q8—111no—
1231C22×Q8—111no—
1232C22×Q8—111no—
1233C22×Q8C22×D1111yescharacteristic
1234C22×Q8C22×D1111yescharacteristic
1235C22×D4—111no—
1236C22×D4—111no—
1237C22×D4—111no—
1238C22×D4—111no—
1239C22×D4—111no—
1240C22×D4—111no—
1241C22×D4—111no—
1242C22×D4—111no—
1243C22×D4—111no—
1244C22×D4—111no—
1245C22×D4—111no—
1246C22×D4—111no—
1247C22×D4—111no—
1248C22×D4—111no—
1249C22×D4—118no—
1250C22×D4—111no—
1251C22×D4—111no—
1252C22×D4—111no—
1253C22×D4—111no—
1254C22×D4—111no—
1255C22×D4—111no—
1256C22×D4—111no—
1257C22×D4—118no—
1258C22×D4—444no—
1259C22×D4—444no—
1260C22×D4C22×D1111yescharacteristic
1261C22×D4C22×D1111yescharacteristic
1262C22×D4C22×D1111yescharacteristic
1263C22×D4C22×D1111yescharacteristic
1264C22×D4C22×D1111yescharacteristic
1265C22×D4C22×D1111yescharacteristic
1266C23×C4—111no—
1267C23×C4—111no—
1268C23×C4—111no—
1269C23×C4—111no—
1270C23×C4—111no—
1271C23×C4—111no—
1272C23×C4—111no—
1273C23×C4—111no—
1274C23×C4—111no—
1275C23×C4—111no—
1276C23×C4—111no—
1277C23×C4—111no—
1278C23×C4—111no—
1279C23×C4—111no—
1280C23×C4—118no—
1281C23×C4—444no—
1282C23×C4C22×D1111yescharacteristic
1283C23×C4C22×D1111yescharacteristic
1284C23×C4C22×D1111yescharacteristic
1285C23×C4C22×D1111yescharacteristic
1286C23×C4C22×D1111yescharacteristic
1287C23×C4C22×D1111yescharacteristic
1288C23×C4C22×D1111yescharacteristic
1289C23×C4C22×D1111yescharacteristic
1290C4⋊Q8—118no—
1291C4⋊Q8C22×D1118yescomplemented
1292#127—118no—
1293#127—118no—
1294#126—118no—
1295#126—118no—
1296#126—118no—
1297#126—118no—
1298#126—118no—
1299#126—118no—
1300#126—118no—
1301#126—118no—
1302#126—118no—
1303#126—118no—
1304#126—118no—
1305#126—118no—
1306#125—118no—
1307#125—118no—
1308#125—118no—
1309#125—118no—
1310#125—118no—
1311#125—118no—
1312#124—118no—
1313#124—118no—
1314#124—118no—
1315#124—118no—
1316#124—118no—
1317#124—118no—
1318#124—118no—
1319#124—118no—
1320#124—118no—
1321#124—118no—
1322#123—118no—
1323#123—118no—
1324#123—118no—
1325#123—118no—
1326#123—118no—
1327#123—118no—
1328#123—118no—
1329#123—118no—
1330#123—118no—
1331#123—118no—
1332#123—118no—
1333#123—118no—
1334#123—118no—
1335#123—118no—
1336#123—118no—
1337#123—118no—
1338#123—118no—
1339#123—118no—
1340#123—118no—
1341#123—118no—
1342#123—118no—
1343#123—118no—
1344#123—118no—
1345#123—118no—
1346#123—118no—
1347#123—118no—
1348#123C22×D1118yes—
1349#123C22×D1118yescomplemented
1350#123C22×D1118yescomplemented
1351#123C22×D1118yescomplemented
1352C22⋊Q8—118no—
1353C22⋊Q8—118no—
1354C22⋊Q8—118no—
1355C22⋊Q8—118no—
1356C22⋊Q8—118no—
1357C22⋊Q8—118no—
1358C22⋊Q8—118no—
1359C22⋊Q8—118no—
1360C22⋊Q8—118no—
1361C22⋊Q8—118no—
1362C22⋊Q8—118no—
1363C22⋊Q8—118no—
1364C22⋊Q8—118no—
1365C22⋊Q8—118no—
1366C22⋊Q8C22×D1118yescomplemented
1367C22⋊Q8C22×D1118yescomplemented
1368#121—118no—
1369#121—118no—
1370#121—118no—
1371#121—118no—
1372#121—118no—
1373#121—118no—
1374#121—118no—
1375#121—118no—
1376#121—118no—
1377#121—118no—
1378#121—118no—
1379#121—118no—
1380#121—118no—
1381#121—118no—
1382#121—118no—
1383#121—118no—
1384#121—118no—
1385#121—118no—
1386#121—118no—
1387#121—118no—
1388#121—118no—
1389#121—118no—
1390#121C22×D1118yes—
1391#121C22×D1118yescomplemented
1392#120—118no—
1393#120—118no—
1394#120—118no—
1395#120—118no—
1396#120—118no—
1397#120—118no—
1398#120—118no—
1399#120—118no—
1400#120—118no—
1401#120—118no—
1402C4×Q8—118no—
1403C4×Q8—118no—
1404C4×D4—118no—
1405C4×D4—118no—
1406C4×D4—118no—
1407C4×D4—118no—
1408C4×D4—118no—
1409C4×D4—118no—
1410C4×D4—118no—
1411C4×D4—118no—
1412C4×D4—118no—
1413C4×D4—118no—
1414C4×D4—118no—
1415C4×D4—118no—
1416C4×D4—118no—
1417C4×D4—118no—
1418C4×D4—118no—
1419C4×D4—118no—
1420C4×D4C22×D1118yescomplemented
1421C4×D4C22×D1118yescomplemented
1422#117—118no—
1423#117—118no—
1424#117—118no—
1425#117—118no—
1426#117—118no—
1427#117—118no—
1428#117—118no—
1429C2×C4⋊C4—111no—
1430C2×C4⋊C4—111no—
1431C2×C4⋊C4—111no—
1432C2×C4⋊C4—111no—
1433C2×C4⋊C4—111no—
1434C2×C4⋊C4—111no—
1435C2×C4⋊C4—111no—
1436C2×C4⋊C4—118no—
1437C2×C4⋊C4—118no—
1438C2×C4⋊C4—111no—
1439C2×C4⋊C4—111no—
1440C2×C4⋊C4—111no—
1441C2×C4⋊C4—111no—
1442C2×C4⋊C4—111no—
1443C2×C4⋊C4—111no—
1444C2×C4⋊C4—111no—
1445C2×C4⋊C4—111no—
1446C2×C4⋊C4—111no—
1447C2×C4⋊C4—111no—
1448C2×C4⋊C4—111no—
1449C2×C4⋊C4—111no—
1450C2×C4⋊C4—111no—
1451C2×C4⋊C4—111no—
1452C2×C4⋊C4—111no—
1453C2×C4⋊C4—111no—
1454C2×C4⋊C4—111no—
1455C2×C4⋊C4—111no—
1456C2×C4⋊C4—111no—
1457C2×C4⋊C4—111no—
1458C2×C4⋊C4—111no—
1459C2×C4⋊C4C22×D1111yescharacteristic
1460C2×C4⋊C4C22×D1111yescharacteristic
1461C2×C4⋊C4C22×D1111yescharacteristic
1462C2×C4⋊C4C22×D1111yescharacteristic
1463C2×C4⋊C4C22×D1111yescharacteristic
1464C2×C4⋊C4C22×D1111yescharacteristic
1465C2×C4⋊C4C22×D1111yescharacteristic
1466C2×C4⋊C4C22×D1111yescharacteristic
1467C2×C4⋊C4C22×D1111yescharacteristic
1468C2×C4⋊C4C22×D1111yescharacteristic
1469C2×C4⋊C4C22×D1118yescomplemented
1470C2×C4⋊C4C22×D1118yescomplemented
1471C2×C22⋊C4—111no—
1472C2×C22⋊C4—111no—
1473C2×C22⋊C4—111no—
1474C2×C22⋊C4—111no—
1475C2×C22⋊C4—111no—
1476C2×C22⋊C4—111no—
1477C2×C22⋊C4—111no—
1478C2×C22⋊C4—111no—
1479C2×C22⋊C4—111no—
1480C2×C22⋊C4—111no—
1481C2×C22⋊C4—111no—
1482C2×C22⋊C4—111no—
1483C2×C22⋊C4—111no—
1484C2×C22⋊C4—111no—
1485C2×C22⋊C4—111no—
1486C2×C22⋊C4—111no—
1487C2×C22⋊C4—111no—
1488C2×C22⋊C4—111no—
1489C2×C22⋊C4—111no—
1490C2×C22⋊C4—111no—
1491C2×C22⋊C4—111no—
1492C2×C22⋊C4—111no—
1493C2×C22⋊C4—111no—
1494C2×C22⋊C4—111no—
1495C2×C22⋊C4—111no—
1496C2×C22⋊C4—111no—
1497C2×C22⋊C4—111no—
1498C2×C22⋊C4—111no—
1499C2×C22⋊C4—118no—
1500C2×C22⋊C4—118no—
1501C2×C22⋊C4—118no—
1502C2×C22⋊C4—118no—
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—111no—
1515C2×C22⋊C4—111no—
1516C2×C22⋊C4—111no—
1517C2×C22⋊C4—118no—
1518C2×C22⋊C4—118no—
1519C2×C22⋊C4C22×D1111yescharacteristic
1520C2×C22⋊C4C22×D1111yescharacteristic
1521C2×C22⋊C4C22×D1111yescharacteristic
1522C2×C22⋊C4C22×D1111yescharacteristic
1523C2×C22⋊C4C22×D1111yescharacteristic
1524C2×C22⋊C4C22×D1111yescharacteristic
1525C2×C22⋊C4C22×D1111yescharacteristic
1526C2×C22⋊C4C22×D1111yescharacteristic
1527C2×C42—111no—
1528C2×C42—111no—
1529C2×C42—111no—
1530C2×C42—111no—
1531C2×C42—111no—
1532C2×C42—111no—
1533C2×C42—111no—
1534C2×C42—111no—
1535C2×C42—111no—
1536C2×C42C22×D1111yescharacteristic
1537C2×C11—24no—
1538C2×C11—42no—
1539C2×C11—42no—
1540C2×C11—42no—
1541C2×C11#353314yescomplemented
1542C2×C11C22×H(5,𝔽2)11yescharacteristic
1543C2×C11C2×#58511yescharacteristic
1544C2×C11C2×#58511yescharacteristic
1545D11—42no—
1546D11—42no—
1547D11—42no—
1548D11—42no—
1549D11—42no—
1550C24—111no—
1551C24—111no—
1552C24—111no—
1553C24—111no—
1554C24—111no—
1555C24—114no—
1556C24—114no—
1557C24—114no—
1558C24—224no—
1559C24—224no—
1560C24—442no—
1561C24—442no—
1562C24—442no—
1563C24—442no—
1564C24—442no—
1565C24—442no—
1566C24—442no—
1567C24C23×D1111yescharacteristic
1568C24C23×D1111yescharacteristic
1569C24C23×D1111yescharacteristic
1570C24C23×D1111yescharacteristic
1571#41—416no—
1572#41—416no—
1573#41—4416no—
1574C2×Q8—42no—
1575C2×Q8—42no—
1576C2×Q8—114no—
1577C2×Q8—114no—
1578C2×Q8—114no—
1579C2×Q8—442no—
1580C2×Q8—442no—
1581C2×Q8—442no—
1582C2×Q8C23×D1114yes—
1583C2×Q8C23×D1114yes—
1584C2×D4—24no—
1585C2×D4—24no—
1586C2×D4—24no—
1587C2×D4—42no—
1588C2×D4—42no—
1589C2×D4—42no—
1590C2×D4—114no—
1591C2×D4—114no—
1592C2×D4—114no—
1593C2×D4—114no—
1594C2×D4—114no—
1595C2×D4—114no—
1596C2×D4—114no—
1597C2×D4—114no—
1598C2×D4—114no—
1599C2×D4—114no—
1600C2×D4—114no—
1601C2×D4—114no—
1602C2×D4—114no—
1603C2×D4—114no—
1604C2×D4—114no—
1605C2×D4—114no—
1606C2×D4—114no—
1607C2×D4—114no—
1608C2×D4—114no—
1609C2×D4—114no—
1610C2×D4—114no—
1611C2×D4—224no—
1612C2×D4—442no—
1613C2×D4—442no—
1614C2×D4—442no—
1615C2×D4—442no—
1616C2×D4—4416no—
1617C2×D4—442no—
1618C2×D4—442no—
1619C2×D4—442no—
1620C2×D4—442no—
1621C2×D4—442no—
1622C2×D4—442no—
1623C2×D4—442no—
1624C2×D4—442no—
1625C2×D4—442no—
1626C2×D4—442no—
1627C2×D4—442no—
1628C2×D4—442no—
1629C2×D4—442no—
1630C2×D4—442no—
1631C2×D4—442no—
1632C2×D4—442no—
1633C2×D4—4416no—
1634C2×D4C23×D1114yes—
1635C2×D4C23×D1114yes—
1636C2×D4C23×D1114yes—
1637C2×D4C23×D1114yes—
1638C2×D4C23×D1114yes—
1639C2×D4C23×D1114yes—
1640C22×C4—24no—
1641C22×C4—24no—
1642C22×C4—42no—
1643C22×C4—42no—
1644C22×C4—42no—
1645C22×C4—42no—
1646C22×C4—42no—
1647C22×C4—42no—
1648C22×C4—114no—
1649C22×C4—111no—
1650C22×C4—111no—
1651C22×C4—111no—
1652C22×C4—111no—
1653C22×C4—111no—
1654C22×C4—111no—
1655C22×C4—111no—
1656C22×C4—111no—
1657C22×C4—111no—
1658C22×C4—111no—
1659C22×C4—111no—
1660C22×C4—114no—
1661C22×C4—114no—
1662C22×C4—114no—
1663C22×C4—114no—
1664C22×C4—114no—
1665C22×C4—114no—
1666C22×C4—114no—
1667C22×C4—114no—
1668C22×C4—114no—
1669C22×C4—114no—
1670C22×C4—114no—
1671C22×C4—114no—
1672C22×C4—114no—
1673C22×C4—224no—
1674C22×C4—442no—
1675C22×C4—442no—
1676C22×C4—442no—
1677C22×C4—442no—
1678C22×C4—4416no—
1679C22×C4—442no—
1680C22×C4—442no—
1681C22×C4—442no—
1682C22×C4—442no—
1683C22×C4—442no—
1684C22×C4—442no—
1685C22×C4—442no—
1686C22×C4—442no—
1687C22×C4—442no—
1688C22×C4C23×D1114yes—
1689C22×C4C23×D1114yes—
1690C22×C4C23×D1111yescharacteristic
1691C22×C4C23×D1111yescharacteristic
1692C22×C4C23×D1111yescharacteristic
1693C22×C4C23×D1111yescharacteristic
1694C22×C4C23×D1111yescharacteristic
1695C22×C4C23×D1111yescharacteristic
1696C22×C4C23×D1111yescharacteristic
1697C22×C4C23×D1111yescharacteristic
1698C22×C4C23×D1111yescharacteristic
1699C22×C4C23×D1111yescharacteristic
1700C22×C4C23×D1111yescharacteristic
1701C22×C4C23×D1114yes—
1702C22×C4C23×D1114yes—
1703C22×C4C23×D1114yes—
1704C22×C4C23×D1114yes—
1705C22×C4C23×D1114yes—
1706C22×C4C23×D1114yes—
1707C4⋊C4—114no—
1708C4⋊C4—114no—
1709C4⋊C4—114no—
1710C4⋊C4—114no—
1711C4⋊C4—114no—
1712C4⋊C4—114no—
1713C4⋊C4—114no—
1714C4⋊C4—114no—
1715C4⋊C4—114no—
1716C4⋊C4—114no—
1717C4⋊C4—114no—
1718C4⋊C4—114no—
1719C4⋊C4—114no—
1720C4⋊C4—114no—
1721C4⋊C4—114no—
1722C4⋊C4—114no—
1723C4⋊C4—114no—
1724C4⋊C4—114no—
1725C4⋊C4—114no—
1726C4⋊C4—114no—
1727C4⋊C4—114no—
1728C4⋊C4—114no—
1729C4⋊C4—114no—
1730C4⋊C4—114no—
1731C4⋊C4—114no—
1732C4⋊C4—114no—
1733C4⋊C4—114no—
1734C4⋊C4—114no—
1735C4⋊C4C23×D1114yes—
1736C4⋊C4C23×D1114yes—
1737C4⋊C4C23×D1114yes—
1738C4⋊C4C23×D1114yes—
1739C4⋊C4C23×D1114yes—
1740C4⋊C4C23×D1114yes—
1741C4⋊C4C23×D1114yes—
1742C4⋊C4C23×D1114yes—
1743C4⋊C4C23×D1114yes—
1744C4⋊C4C23×D1114yes—
1745C22⋊C4—114no—
1746C22⋊C4—114no—
1747C22⋊C4—114no—
1748C22⋊C4—114no—
1749C22⋊C4—114no—
1750C22⋊C4—114no—
1751C22⋊C4—114no—
1752C22⋊C4—114no—
1753C22⋊C4—114no—
1754C22⋊C4—114no—
1755C22⋊C4—114no—
1756C22⋊C4—114no—
1757C22⋊C4—114no—
1758C22⋊C4—114no—
1759C22⋊C4—114no—
1760C22⋊C4—114no—
1761C22⋊C4—114no—
1762C22⋊C4—114no—
1763C22⋊C4—114no—
1764C22⋊C4—114no—
1765C22⋊C4—114no—
1766C22⋊C4—114no—
1767C22⋊C4—114no—
1768C22⋊C4—114no—
1769C22⋊C4—114no—
1770C22⋊C4—114no—
1771C22⋊C4—114no—
1772C22⋊C4—114no—
1773C22⋊C4—114no—
1774C22⋊C4—114no—
1775C22⋊C4—114no—
1776C22⋊C4—114no—
1777C22⋊C4—114no—
1778C22⋊C4—114no—
1779C22⋊C4—114no—
1780C22⋊C4—114no—
1781C22⋊C4—114no—
1782C22⋊C4—114no—
1783C22⋊C4—114no—
1784C22⋊C4—114no—
1785C22⋊C4—114no—
1786C22⋊C4—114no—
1787C22⋊C4C23×D1114yes—
1788C22⋊C4C23×D1114yes—
1789C22⋊C4C23×D1114yes—
1790C22⋊C4C23×D1114yes—
1791C22⋊C4C23×D1114yes—
1792C22⋊C4C23×D1114yes—
1793C22⋊C4C23×D1114yes—
1794C22⋊C4C23×D1114yes—
1795C42—114no—
1796C42—114no—
1797C42—114no—
1798C42—114no—
1799C42—114no—
1800C42—114no—
1801C42—114no—
1802C42—114no—
1803C42—114no—
1804C42C23×D1114yes—
1805C11C2×#353311yescharacteristic, complemented, Sylow
1806C23—22no—
1807C23—22no—
1808C23—22no—
1809C23—22no—
1810C23—22no—
1811C23—22no—
1812C23—22no—
1813C23—22no—
1814C23—22no—
1815C23—22no—
1816C23—22no—
1817C23—112no—
1818C23—112no—
1819C23—112no—
1820C23—112no—
1821C23—112no—
1822C23—228no—
1823C23—222no—
1824C23—222no—
1825C23—222no—
1826C23—222no—
1827C23—222no—
1828C23—222no—
1829C23—222no—
1830C23—222no—
1831C23—222no—
1832C23—222no—
1833C23—222no—
1834C23—222no—
1835C23—222no—
1836C23—222no—
1837C23—222no—
1838C23—228no—
1839C23—444no—
1840C23—444no—
1841C23—444no—
1842C23—444no—
1843C23—444no—
1844C23—444no—
1845C23—444no—
1846C23—4416no—
1847C23—888no—
1848C23—888no—
1849C23#6703714yes—
1850C23C24×D1112yes—
1851C23C24×D1112yes—
1852C23C24×D1112yes—
1853C23C24×D1112yes—
1854C23C24×D1111yescharacteristic
1855Q8—44no—
1856Q8—44no—
1857Q8—444no—
1858Q8—444no—
1859Q8—444no—
1860D4—28no—
1861D4—28no—
1862D4—28no—
1863D4—44no—
1864D4—44no—
1865D4—44no—
1866D4—228no—
1867D4—444no—
1868D4—444no—
1869D4—444no—
1870D4—444no—
1871D4—444no—
1872D4—444no—
1873D4—444no—
1874D4—444no—
1875D4—444no—
1876D4—444no—
1877D4—444no—
1878D4—444no—
1879D4—444no—
1880D4—444no—
1881D4—444no—
1882D4—444no—
1883D4—444no—
1884D4—444no—
1885D4—444no—
1886D4—444no—
1887C2×C4—22no—
1888C2×C4—22no—
1889C2×C4—22no—
1890C2×C4—28no—
1891C2×C4—22no—
1892C2×C4—28no—
1893C2×C4—22no—
1894C2×C4—22no—
1895C2×C4—22no—
1896C2×C4—22no—
1897C2×C4—22no—
1898C2×C4—22no—
1899C2×C4—22no—
1900C2×C4—44no—
1901C2×C4—44no—
1902C2×C4—44no—
1903C2×C4—44no—
1904C2×C4—44no—
1905C2×C4—44no—
1906C2×C4—112no—
1907C2×C4—112no—
1908C2×C4—112no—
1909C2×C4—112no—
1910C2×C4—112no—
1911C2×C4—112no—
1912C2×C4—112no—
1913C2×C4—112no—
1914C2×C4—112no—
1915C2×C4—112no—
1916C2×C4—112no—
1917C2×C4—222no—
1918C2×C4—222no—
1919C2×C4—228no—
1920C2×C4—222no—
1921C2×C4—222no—
1922C2×C4—222no—
1923C2×C4—222no—
1924C2×C4—222no—
1925C2×C4—222no—
1926C2×C4—222no—
1927C2×C4—222no—
1928C2×C4—222no—
1929C2×C4—444no—
1930C2×C4—444no—
1931C2×C4—444no—
1932C2×C4—444no—
1933C2×C4—444no—
1934C2×C4—444no—
1935C2×C4—444no—
1936C2×C4—444no—
1937C2×C4—444no—
1938C2×C4—444no—
1939C2×C4—444no—
1940C2×C4—444no—
1941C2×C4—444no—
1942C2×C4C24×D1112yes—
1943C2×C4C24×D1112yes—
1944C2×C4C24×D1112yes—
1945C2×C4C24×D1112yes—
1946C2×C4C24×D1112yes—
1947C2×C4C24×D1112yes—
1948C2×C4C24×D1112yes—
1949C2×C4C24×D1112yes—
1950C2×C4C24×D1112yes—
1951C2×C4C24×D1112yes—
1952C2×C4C24×D1112yes—
1953C22—22no—
1954C22—22no—
1955C22—28no—
1956C22—22no—
1957C22—22no—
1958C22—22no—
1959C22—22no—
1960C22—22no—
1961C22—22no—
1962C22—22no—
1963C22—22no—
1964C22—22no—
1965C22—44no—
1966C22—44no—
1967C22—44no—
1968C22—222no—
1969C22—222no—
1970C22—222no—
1971C22—222no—
1972C22—222no—
1973C22—222no—
1974C22—222no—
1975C22—222no—
1976C22—222no—
1977C22—222no—
1978C22—222no—
1979C22—222no—
1980C22—222no—
1981C22—222no—
1982C22—222no—
1983C22—4416no—
1984C22—444no—
1985C22—444no—
1986C22—444no—
1987C22—444no—
1988C22—444no—
1989C22—888no—
1990C22—888no—
1991C22C2×#6703714yes—
1992C22C2×#6703712yes—
1993C22#1062345312yes—
1994C22#1062345712yes—
1995C22C25×D1111yescharacteristic
1996C4—22no—
1997C4—22no—
1998C4—22no—
1999C4—22no—
2000C4—22no—
2001C4—22no—
2002C4—22no—
2003C4—22no—
2004C4—22no—
2005C4—22no—
2006C4—22no—
2007C4—222no—
2008C4—222no—
2009C4—222no—
2010C4—222no—
2011C4—222no—
2012C4—222no—
2013C4—222no—
2014C4—222no—
2015C4—222no—
2016C4—222no—
2017C4—222no—
2018C2—24no—
2019C2—42no—
2020C2—42no—
2021C2—42no—
2022C2—442no—
2023C2—442no—
2024C2—442no—
2025C2—442no—
2026C2—442no—
2027C2#1308278614yesdirect product factor
2028C2C22×#6703711yescharacteristic
2029C2C2×#1062345311yescharacteristic
2030C2C2×#1062345711yescharacteristic
subgroupG/H
centerC23C24×D11
commutator, cosocleC22×C11C26
FrattiniC22C25×D11
FittingC2×C11×#547C2
socleC23×C11C25
hypercenterC2×#547D11
hypocenterC11C2×#3533
LCSG ▷ C22×C11 ▷ C11
UCSC1 ◁ C23 ◁ C2×#547

Complements

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

NH ≅ G/Ntype
1. #13082786C2direct (N × H)
2. C2×#10623266C2semidirect
3. C2×#10623198C2semidirect
4. C2×#10623178C2semidirect
5. C2×#10623151C2semidirect
6. C2×#10623195C2semidirect
7. C2×#10623071C2semidirect
8. C2×#10623045C2semidirect
9. C2×#10623181C2semidirect
10. C2×#10623044C2semidirect
11. C2×#10623087C2semidirect
12. C2×#10623168C2semidirect
13. C2×#10623189C2semidirect
14. C2×#10623355C2semidirect
15. C2×#10623141C2semidirect
16. C2×#10623360C2semidirect
17. C2×#10623264C2semidirect
18. C2×#10623171C2semidirect
19. C2×#10623194C2semidirect
20. C2×#10623146C2semidirect
21. C2×#10623176C2semidirect
22. C2×#10623046C2semidirect
23. C2×#10623148C2semidirect
24. C2×#10623188C2semidirect
25. C2×#10623091C2semidirect
26. C2×#10623091C2semidirect
27. C2×#10623361C2semidirect
28. C2×#10623184C2semidirect
29. C2×#10623187C2semidirect
30. C2×#10623359C2semidirect
31. C22×#66947C2semidirect
32. C2×C11×#547C2semidirect
34. C22×C11×#41C22semidirect
38. C23×C4×D11C22semidirect
39. C11×#547C22semidirect
40. C2×C11×C4⋊Q8C22semidirect
42. C2×C11×#123C22semidirect
43. C2×C11×#123C22semidirect
44. C2×C11×#123C22semidirect
45. C2×C11×C22⋊Q8C22semidirect
46. C2×C11×C22⋊Q8C22semidirect
48. C2×C11×#121C22semidirect
49. C2×C4×D4×C11C22semidirect
50. C2×C4×D4×C11C22semidirect
51. C22×C11×C4⋊C4C22semidirect
52. C22×C11×C4⋊C4C22semidirect
53. #10623361C22semidirect
54. #10623360C22semidirect
55. #10623359C22semidirect
56. #10623355C22semidirect
58. C2×#67000C22semidirect
59. C2×#67000C22semidirect
60. C2×#66999C22semidirect
61. C2×#66999C22semidirect
62. C2×#66999C22semidirect
63. C2×#66999C22semidirect
64. C2×#66997C22semidirect
66. C2×#66993C22semidirect
68. C2×#66992C22semidirect
69. C2×#66992C22semidirect
70. C2×#66992C22semidirect
71. C2×#66992C22semidirect
72. C2×#66992C22semidirect
73. C2×#66991C22semidirect
74. C2×#66991C22semidirect
78. C2×#66990C22semidirect
79. C2×#66990C22semidirect
80. C2×#66990C22semidirect
81. C2×#66990C22semidirect
83. C2×#66988C22semidirect
84. C2×#66988C22semidirect
86. C2×D4×Dic11C22semidirect
89. C2×#66983C22semidirect
90. C2×#66983C22semidirect
91. C2×#66983C22semidirect
92. C2×#66983C22semidirect
95. C2×#66982C22semidirect
96. C2×#66982C22semidirect
97. C2×#66982C22semidirect
98. C2×#66982C22semidirect
100. C2×C4×C22⋊D11C22semidirect
101. C2×C4×C22⋊D11C22semidirect
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
109. C22×(C2×D11)⋊C4C22semidirect
110. C22×(C2×D11)⋊C4C22semidirect
111. C2×#66979C22semidirect
112. C2×#66979C22semidirect
113. C2×#66977C22semidirect
114. C2×#66977C22semidirect
115. C22×Dic11⋊C4C22semidirect
116. C22×Dic11⋊C4C22semidirect
117. #10623266C22semidirect
118. #10623264C22semidirect
119. #10623198C22semidirect
120. #10623195C22semidirect
121. #10623194C22semidirect
122. #10623189C22semidirect
123. #10623188C22semidirect
124. #10623187C22semidirect
125. #10623184C22semidirect
126. #10623181C22semidirect
127. #10623178C22semidirect
128. #10623176C22semidirect
129. #10623171C22semidirect
130. #10623168C22semidirect
131. #10623151C22semidirect
132. #10623148C22semidirect
133. #10623146C22semidirect
134. #10623141C22semidirect
135. #10623091C22semidirect
136. #10623091C22semidirect
137. #10623087C22semidirect
138. #10623071C22semidirect
139. #10623046C22semidirect
140. #10623045C22semidirect
141. #10623044C22semidirect
142. C2×#66951C22semidirect
143. C2×#66951C22semidirect
144. C2×#66951C22semidirect
145. C2×#66951C22semidirect
146. C2×#66951C22semidirect
147. C2×#66951C22semidirect
148. C2×#66951C22semidirect
149. C2×#66951C22semidirect
150. C2×#66950C22semidirect
151. C2×#66950C22semidirect
152. C2×#66949C22semidirect
153. C2×#66949C22semidirect
154. C2×#66949C22semidirect
155. C2×#66949C22semidirect
164. C2×#66947C22semidirect
165. C2×#66947C22semidirect
166. C2×#66947C22semidirect
167. C2×#66947C22semidirect
168. C2×#66947C22semidirect
169. C2×#66947C22semidirect
170. C2×#66947C22semidirect
171. C2×#66946C22semidirect
172. C2×#66946C22semidirect
173. C2×#66945C22semidirect
174. C2×#66945C22semidirect
175. C2×#66943C22semidirect
176. C2×#66943C22semidirect
177. C2×#66942C22semidirect
178. C2×#66942C22semidirect
179. C2×#66942C22semidirect
180. C2×#66942C22semidirect
181. C2×#66940C22semidirect
182. C2×#66940C22semidirect
183. C2×#66939C22semidirect
184. C2×#66939C22semidirect
185. C2×#66939C22semidirect
186. C2×#66938C22semidirect
187. C2×#66938C22semidirect
188. C2×#66938C22semidirect
189. C2×#66938C22semidirect
190. C2×#66938C22semidirect
191. C2×#66938C22semidirect
194. C2×#66937C22semidirect
195. C2×#66937C22semidirect
196. C2×#66937C22semidirect
197. C2×#66937C22semidirect
198. C2×#66936C22semidirect
199. C2×#66936C22semidirect
203. C2×(C22⋊D11)⋊C4C22semidirect
204. C2×(C22⋊D11)⋊C4C22semidirect
205. C2×(C22⋊D11)⋊C4C22semidirect
206. C2×(C22⋊D11)⋊C4C22semidirect
208. C2×C22⋊C4×D11C22semidirect
209. C2×#66932C22semidirect
210. C2×#66932C22semidirect
211. C2×#66931C22semidirect
212. C2×#66931C22semidirect
213. C2×#66930C22semidirect
214. C2×#66930C22semidirect
215. C2×#66929C22semidirect
216. C2×#66929C22semidirect
217. C2×#66928C22semidirect
218. C2×#66925C22semidirect
225. C2×C11×#41C23semidirect
284. C22×C4×D11C23semidirect
288. C11×C4⋊Q8C23semidirect
290. C11×#123C23semidirect
291. C11×#123C23semidirect
292. C11×#123C23semidirect
293. C11×C22⋊Q8C23semidirect
294. C11×C22⋊Q8C23semidirect
296. C11×#121C23semidirect
297. C4×D4×C11C23semidirect
298. C4×D4×C11C23semidirect
309. C2×C11×C4⋊C4C23semidirect
310. C2×C11×C4⋊C4C23semidirect
331. #67000C23semidirect
332. #67000C23semidirect
333. #66999C23semidirect
334. #66999C23semidirect
335. #66999C23semidirect
336. #66999C23semidirect
337. #66997C23semidirect
339. #66993C23semidirect
341. #66992C23semidirect
342. #66992C23semidirect
343. #66992C23semidirect
344. #66992C23semidirect
345. #66992C23semidirect
346. #66991C23semidirect
347. #66991C23semidirect
351. #66990C23semidirect
352. #66990C23semidirect
353. #66990C23semidirect
354. #66990C23semidirect
356. #66988C23semidirect
357. #66988C23semidirect
359. D4×Dic11C23semidirect
362. #66983C23semidirect
363. #66983C23semidirect
364. #66983C23semidirect
365. #66983C23semidirect
368. #66982C23semidirect
369. #66982C23semidirect
370. #66982C23semidirect
371. #66982C23semidirect
373. C4×C22⋊D11C23semidirect
374. C4×C22⋊D11C23semidirect
375. C4×C22⋊D11C23semidirect
376. C4×C22⋊D11C23semidirect
377. C4×C22⋊D11C23semidirect
378. C4×C22⋊D11C23semidirect
379. C4×C22⋊D11C23semidirect
414. C2×(C2×D11)⋊C4C23semidirect
415. C2×(C2×D11)⋊C4C23semidirect
416. #66979C23semidirect
417. #66979C23semidirect
426. #66977C23semidirect
427. #66977C23semidirect
448. C2×Dic11⋊C4C23semidirect
449. C2×Dic11⋊C4C23semidirect
459. #66951C23semidirect
460. #66951C23semidirect
461. #66951C23semidirect
462. #66951C23semidirect
463. #66951C23semidirect
464. #66951C23semidirect
465. #66951C23semidirect
466. #66951C23semidirect
467. #66950C23semidirect
468. #66950C23semidirect
469. #66949C23semidirect
470. #66949C23semidirect
471. #66949C23semidirect
472. #66949C23semidirect
481. #66947C23semidirect
482. #66947C23semidirect
483. #66947C23semidirect
484. #66947C23semidirect
485. #66947C23semidirect
486. #66947C23semidirect
487. #66946C23semidirect
488. #66946C23semidirect
489. #66945C23semidirect
490. #66945C23semidirect
491. #66943C23semidirect
492. #66943C23semidirect
493. #66942C23semidirect
494. #66942C23semidirect
495. #66942C23semidirect
496. #66942C23semidirect
497. #66940C23semidirect
498. #66940C23semidirect
499. #66939C23semidirect
500. #66939C23semidirect
501. #66939C23semidirect
502. #66938C23semidirect
503. #66938C23semidirect
504. #66938C23semidirect
505. #66938C23semidirect
506. #66938C23semidirect
507. #66938C23semidirect
510. #66937C23semidirect
511. #66937C23semidirect
512. #66937C23semidirect
513. #66937C23semidirect
514. #66936C23semidirect
515. #66936C23semidirect
519. (C22⋊D11)⋊C4C23semidirect
520. (C22⋊D11)⋊C4C23semidirect
521. (C22⋊D11)⋊C4C23semidirect
522. (C22⋊D11)⋊C4C23semidirect
524. C22⋊C4×D11C23semidirect
525. #66932C23semidirect
526. #66932C23semidirect
527. #66931C23semidirect
528. #66931C23semidirect
529. #66930C23semidirect
530. #66930C23semidirect
531. #66929C23semidirect
532. #66929C23semidirect
533. #66928C23semidirect
534. #66925C23semidirect
805. C2×#547D11semidirect
972. C22×#41C2×D11semidirect
989. #547C2×D11semidirect
1005. C2×C4⋊Q8C2×D11semidirect
1066. C2×#123C2×D11semidirect
1067. C2×#123C2×D11semidirect
1068. C2×#123C2×D11semidirect
1083. C2×C22⋊Q8C2×D11semidirect
1084. C2×C22⋊Q8C2×D11semidirect
1108. C2×#121C2×D11semidirect
1137. C2×C4×D4C2×D11semidirect
1138. C2×C4×D4C2×D11semidirect
1148. C22×C4⋊C4C2×D11semidirect
1149. C22×C4⋊C4C2×D11semidirect
1229. C2×#41C22×D11semidirect
1291. C4⋊Q8C22×D11semidirect
1349. #123C22×D11semidirect
1350. #123C22×D11semidirect
1351. #123C22×D11semidirect
1366. C22⋊Q8C22×D11semidirect
1367. C22⋊Q8C22×D11semidirect
1391. #121C22×D11semidirect
1420. C4×D4C22×D11semidirect
1421. C4×D4C22×D11semidirect
1469. C2×C4⋊C4C22×D11semidirect
1470. C2×C4⋊C4C22×D11semidirect
1541. C2×C11#3533semidirect
1805. C11C2×#3533semidirect
2027. C2#13082786direct (N × H)

Maximal subgroups

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

subgroupindex
#130827862
C2×#106232662
C2×#106231982
C2×#106231782
C2×#106231512
C2×#106231952
C2×#106230712
C2×#106230452
C2×#106231812
C2×#106230442
C2×#106230872
C2×#106231682
C2×#106231892
C2×#106233552
C2×#106231412
C2×#106233602
C2×#106232642
C2×#106231712
C2×#106231942
C2×#106231462
C2×#106231762
C2×#106230462
C2×#106231482
C2×#106231882
C2×#106230912
C2×#106233612
C2×#106231842
C2×#106231872
C2×#106233592
C22×#669472
C2×C11×#5472
C2×#353311