Finite Group Databasebeta

← C2×#13082919 #15660902

Subgroups — C2×#13082919 #15660902

Order 2816.

8122 conjugacy classes of subgroups.

The subgroup lattice has 2160 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#13082919C2132yesmaximal, direct product factor
2C2×#10623152C211yesmaximal, characteristic, complemented
3C2×#10623215C211yesmaximal, characteristic, complemented
4C2×#10623151C211yesmaximal, characteristic, complemented
5C2×#10623251C211yesmaximal, characteristic, complemented
6C2×#10623201C211yesmaximal, characteristic, complemented
7C2×#10623132C211yesmaximal, characteristic, complemented
8C2×#10623062C211yesmaximal, characteristic, complemented
9C2×#10623118C211yesmaximal, characteristic, complemented
10C2×#10623058C211yesmaximal, characteristic, complemented
11C2×#10623249C211yesmaximal, 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×#10623200C211yesmaximal, characteristic, complemented
19C2×#10623250C211yesmaximal, characteristic, complemented
20C2×#10623146C211yesmaximal, characteristic, complemented
21C2×#10623146C211yesmaximal, characteristic, complemented
22C2×#10623148C211yesmaximal, characteristic, complemented
23C2×#10623209C211yesmaximal, characteristic, complemented
24C2×#10623128C211yesmaximal, characteristic, complemented
25C2×#10623123C211yesmaximal, characteristic, complemented
26C2×#10623246C211yesmaximal, characteristic, complemented
27C2×#10623120C211yesmaximal, characteristic, complemented
28C2×#10623335C211yesmaximal, characteristic, complemented
29C2×#10623117C211yesmaximal, characteristic, complemented
30C2×#10623117C211yesmaximal, characteristic, complemented
31C22×#66992C211yesmaximal, characteristic, complemented
32C2×C11×#535C211yesmaximal, characteristic, complemented
33C22×C11×#41C2211yescharacteristic, complemented
34C23×D4×C11C2211yescharacteristic, complemented
35C23×C22⋊D11C2211yescharacteristic
36C23×C22⋊D11C2211yescharacteristic
37C23×C22⋊D11C2211yescharacteristic, complemented
38C24×Dic11C2211yescharacteristic, complemented
39C22×#4341C2211yescharacteristic, complemented
40C22×#4341C2211yescharacteristic, complemented
41C22×#4341C2211yescharacteristic, complemented
42C22×#4341C2211yescharacteristic, complemented
43C22×D4×D11C2211yescharacteristic
44C22×D4×D11C2211yescharacteristic, complemented
45C11×#535C22116yescomplemented
46C2×C11×#127C2211yescharacteristic, complemented
47C2×C11×#127C2211yescharacteristic, complemented
48C2×C11×#124C2211yescharacteristic, complemented
49C2×C11×#124C2211yescharacteristic, complemented
50C2×C11×#121C2211yescharacteristic, complemented
51C2×C11×#121C2211yescharacteristic, complemented
52C2×C11×#121C2211yescharacteristic, complemented
53C2×C11×#121C2211yescharacteristic, complemented
54C2×C11×#120C2211yescharacteristic
55C2×C11×#120C2211yescharacteristic, complemented
56C2×C11×#120C2211yescharacteristic, complemented
57C2×C11×#120C2211yescharacteristic, complemented
58C2×C11×#117C2211yescharacteristic, complemented
59C2×#67006C2211yescharacteristic
60C2×#67006C2211yescharacteristic, complemented
61C22×C22⋊Dic11C2211yescharacteristic, complemented
62C22×C22⋊Dic11C2211yescharacteristic, complemented
63#10623360C22116yescomplemented
64#10623355C22116yescomplemented
65C2×#67000C2211yescharacteristic, complemented
66C2×#66999C2211yescharacteristic, complemented
67C2×#66999C2211yescharacteristic, complemented
68C2×#66997C2211yescharacteristic, complemented
69#10623335C22116yescomplemented
70C2×#66993C2211yescharacteristic, complemented
71C2×#66993C2211yescharacteristic, complemented
72C2×#66993C2211yescharacteristic, complemented
73C2×#66992C2211yescharacteristic
74C2×#66992C2211yescharacteristic
75C2×#66992C2211yescharacteristic
76C2×#66992C2211yescharacteristic
77C2×#66992C2211yescharacteristic, complemented
78C2×#66992C2211yescharacteristic, complemented
79C2×#66992C2211yescharacteristic, complemented
80C2×#66992C2211yescharacteristic, complemented
81C2×#66992C2211yescharacteristic, complemented
82C2×#66992C2211yescharacteristic, complemented
83C2×#66992C2211yescharacteristic, complemented
84C2×#66992C2211yescharacteristic, complemented
85C2×#66992C2211yescharacteristic, complemented
86C2×#66992C2211yescharacteristic, complemented
87C2×#66992C2211yescharacteristic, complemented
88C2×#66992C2211yescharacteristic, complemented
89C2×#66992C2211yescharacteristic, complemented
90C2×#66992C2211yescharacteristic, complemented
91C2×#66992C2211yescharacteristic, complemented
92C2×#66992C2211yescharacteristic, complemented
93C2×#66992C2211yescharacteristic, complemented
94C2×#66992C2211yescharacteristic, complemented
95C2×#66992C2211yescharacteristic, complemented
96C2×#66992C2211yescharacteristic, complemented
97C2×#66992C22116yescomplemented
98C2×#66991C2211yescharacteristic, complemented
99C2×#66991C2211yescharacteristic, complemented
100C2×#66991C2211yescharacteristic, complemented
101C2×#66991C2211yescharacteristic, complemented
102C2×#66990C2211yescharacteristic, complemented
103C2×#66990C2211yescharacteristic, complemented
104C2×#66990C2211yescharacteristic, complemented
105C2×#66990C2211yescharacteristic, complemented
106C2×#66990C2211yescharacteristic, complemented
107C2×#66990C2211yescharacteristic, complemented
108C2×#66990C2211yescharacteristic, complemented
109C2×#66990C2211yescharacteristic, complemented
110C2×#66989C2211yescharacteristic, complemented
111C2×#66988C2211yescharacteristic, complemented
112C2×#66988C2211yescharacteristic, complemented
113C2×#66988C2211yescharacteristic, complemented
114C2×#66988C2211yescharacteristic, complemented
115C2×#66988C2211yescharacteristic, complemented
116C2×#66988C2211yescharacteristic, complemented
117C2×#66988C2211yescharacteristic, complemented
118C2×#66988C2211yescharacteristic, complemented
119C2×D4×Dic11C2211yescharacteristic, complemented
120C2×D4×Dic11C2211yescharacteristic, complemented
121C2×D4×Dic11C2211yescharacteristic, complemented
122C2×D4×Dic11C2211yescharacteristic, complemented
123C2×D4×Dic11C2211yescharacteristic, complemented
124C2×D4×Dic11C2211yescharacteristic, complemented
125C2×#66983C2211yescharacteristic, complemented
126C2×#66982C2211yescharacteristic
127C2×#66982C2211yescharacteristic, complemented
128C2×#66982C2211yescharacteristic, complemented
129C2×#66982C2211yescharacteristic, complemented
130C2×C4×C22⋊D11C2211yescharacteristic, complemented
131C2×C4×C22⋊D11C2211yescharacteristic, complemented
132C22×(C2×D11)⋊C4C2211yescharacteristic, complemented
133C22×(C2×D11)⋊C4C2211yescharacteristic, complemented
134C2×#66977C2211yescharacteristic, complemented
135C22×Dic11⋊C4C2211yescharacteristic, complemented
136C22×Dic11⋊C4C2211yescharacteristic, complemented
137#10623251C22116yescomplemented
138#10623250C22116yescomplemented
139#10623249C22116yescomplemented
140#10623246C22116yescomplemented
141#10623215C22116yescomplemented
142#10623209C22116yescomplemented
143#10623201C22116yescomplemented
144#10623200C22116yescomplemented
145#10623152C22116yescomplemented
146#10623151C22116yescomplemented
147#10623148C22116yescomplemented
148#10623146C22116yescomplemented
149#10623146C22116yescomplemented
150#10623141C22116yescomplemented
151#10623132C22116yescomplemented
152#10623128C22116yescomplemented
153#10623123C22116yescomplemented
154#10623122C22116yescomplemented
155#10623122C22116yescomplemented
156#10623121C22116yescomplemented
157#10623120C22116yescomplemented
158#10623118C22116yescomplemented
159#10623117C22116yescomplemented
160#10623117C22116yescomplemented
161#10623062C22116yescomplemented
162#10623058C22116yescomplemented
163C2×#66951C2211yescharacteristic, complemented
164C2×#66951C2211yescharacteristic, complemented
165C2×#66949C2211yescharacteristic, complemented
166C2×#66949C2211yescharacteristic, complemented
167C2×#66947C2211yescharacteristic, complemented
168C2×#66947C2211yescharacteristic, complemented
169C2×#66942C2211yescharacteristic, complemented
170C2×#66942C2211yescharacteristic, complemented
171C2×#66939C2211yescharacteristic
172C2×#66939C2211yescharacteristic, complemented
173C2×#66939C2211yescharacteristic, complemented
174C2×#66939C2211yescharacteristic, complemented
175C2×#66938C2211yescharacteristic, complemented
176C2×#66938C2211yescharacteristic, complemented
177C2×#66938C2211yescharacteristic, complemented
178C2×#66938C2211yescharacteristic, complemented
179C2×#66937C2211yescharacteristic, complemented
180C2×#66937C2211yescharacteristic, complemented
181C2×#66937C2211yescharacteristic, complemented
182C2×#66937C2211yescharacteristic, complemented
183C2×#66937C2211yescharacteristic, complemented
184C2×#66937C2211yescharacteristic, complemented
185C2×#66936C2211yescharacteristic, complemented
186C2×#66936C2211yescharacteristic, complemented
187C2×#66936C2211yescharacteristic, complemented
188C2×#66936C2211yescharacteristic, complemented
189C2×#66935C2211yescharacteristic
190C2×#66935C2211yescharacteristic, complemented
191C2×(C22⋊D11)⋊C4C2211yescharacteristic
192C2×(C22⋊D11)⋊C4C2211yescharacteristic, complemented
193C2×(C22⋊D11)⋊C4C2211yescharacteristic, complemented
194C2×(C22⋊D11)⋊C4C2211yescharacteristic, complemented
195C2×(C22⋊D11)⋊C4C2211yescharacteristic, complemented
196C2×(C22⋊D11)⋊C4C2211yescharacteristic, complemented
197C2×C22⋊C4×D11C2211yescharacteristic, complemented
198C2×C22⋊C4×D11C2211yescharacteristic, complemented
199C2×#66932C2211yescharacteristic, complemented
200C2×#66932C2211yescharacteristic, complemented
201C2×#66931C2211yescharacteristic, complemented
202C2×#66931C2211yescharacteristic, 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
220C25×C11C2311yescharacteristic
221C24×D11C2311yescharacteristic
222C24×D11C2311yescharacteristic
223C24×D11C2311yescharacteristic
224C2×C11×#41—44no—
225C2×C11×#41C2318yescomplemented
226C22×Q8×C11C2311yescharacteristic
227C22×D4×C11—44no—
228C22×D4×C11C2311yescharacteristic
229C22×D4×C11C2311yescharacteristic
230C22×D4×C11C2311yescharacteristic
231C22×D4×C11C2311yescharacteristic
232C22×D4×C11C2311yescharacteristic
233C22×D4×C11C2311yescharacteristic
234C22×D4×C11C2311yescharacteristic
235C22×D4×C11C2311yescharacteristic
236C22×D4×C11C2311yescharacteristic
237C22×D4×C11C2311yescharacteristic
238C22×D4×C11C2311yescharacteristic
239C22×D4×C11C2311yescharacteristic
240C22×D4×C11C2311yescharacteristic
241C22×D4×C11C2311yescharacteristic
242C22×D4×C11C2311yescharacteristic
243C22×D4×C11C2318yescomplemented
244C23×C4×C11C2311yescharacteristic
245C23×C4×C11C2311yescharacteristic
246C23×C4×C11C2311yescharacteristic
247C22×C22⋊D11—44no—
248C22×C22⋊D11—44no—
249C22×C22⋊D11—44no—
250C22×C22⋊D11C2311yescharacteristic
251C22×C22⋊D11C2311yescharacteristic
252C22×C22⋊D11C2311yescharacteristic
253C22×C22⋊D11C2311yescharacteristic
254C22×C22⋊D11C2311yescharacteristic
255C22×C22⋊D11C2311yescharacteristic
256C22×C22⋊D11C2311yescharacteristic
257C22×C22⋊D11C2311yescharacteristic
258C22×C22⋊D11C2311yescharacteristic
259C22×C22⋊D11C2311yescharacteristic
260C22×C22⋊D11C2311yescharacteristic
261C22×C22⋊D11C2311yescharacteristic
262C22×C22⋊D11C2311yescharacteristic
263C22×C22⋊D11C2311yescharacteristic
264C22×C22⋊D11C2311yescharacteristic
265C22×C22⋊D11C2311yescharacteristic
266C22×C22⋊D11C2311yescharacteristic
267C22×C22⋊D11C2311yescharacteristic
268C22×C22⋊D11C2311yescharacteristic
269C22×C22⋊D11C2311yescharacteristic
270C22×C22⋊D11C2311yescharacteristic
271C22×C22⋊D11C2311yescharacteristic
272C22×C22⋊D11C2318yes—
273C22×C22⋊D11C2318yes—
274C22×C22⋊D11C2318yescomplemented
275C23×Dic11—44no—
276C23×Dic11C2311yescharacteristic
277C23×Dic11C2311yescharacteristic
278C23×Dic11C2311yescharacteristic
279C23×Dic11C2311yescharacteristic
280C23×Dic11C2311yescharacteristic
281C23×Dic11C2311yescharacteristic
282C23×Dic11C2311yescharacteristic
283C23×Dic11C2311yescharacteristic
284C23×Dic11C2311yescharacteristic
285C23×Dic11C2311yescharacteristic
286C23×Dic11C2311yescharacteristic
287C23×Dic11C2311yescharacteristic
288C23×Dic11C2311yescharacteristic
289C23×Dic11C2318yescomplemented
290C2×#4341—44no—
291C2×#4341—44no—
292C2×#4341—44no—
293C2×#4341—44no—
294C2×#4341C2318yescomplemented
295C2×#4341C2318yescomplemented
296C2×#4341C2318yescomplemented
297C2×#4341C2318yescomplemented
298C2×D4×D11—44no—
299C2×D4×D11—44no—
300C2×D4×D11C2318yes—
301C2×D4×D11C2318yescomplemented
302C22×D44C2311yescharacteristic
303C22×D44C2311yescharacteristic
304C22×D44C2311yescharacteristic
305C22×C4×D11C2311yescharacteristic
306C22×C4×D11C2311yescharacteristic
307C22×C4×D11C2311yescharacteristic
308C22×C4×D11C2311yescharacteristic
309C22×C4×D11C2311yescharacteristic
310C22×C4×D11C2311yescharacteristic
311C22×Dic22C2311yescharacteristic
312C22×Dic22C2311yescharacteristic
313C22×Dic22C2311yescharacteristic
314C11×#127C2318yescomplemented
315C11×#127C2318yescomplemented
316C11×#124C2318yescomplemented
317C11×#124C2318yescomplemented
318C11×#121C2318yescomplemented
319C11×#121C2318yescomplemented
320C11×#121C2318yescomplemented
321C11×#121C2318yescomplemented
322C11×#120C2318yes—
323C11×#120C2318yescomplemented
324C11×#120C2318yescomplemented
325C11×#120C2318yescomplemented
326C11×#117C2318yescomplemented
327C2×C11×C4⋊C4C2311yescharacteristic
328C2×C11×C4⋊C4C2311yescharacteristic
329C2×C11×C22⋊C4C2311yescharacteristic
330C2×C11×C22⋊C4C2311yescharacteristic
331C2×C11×C22⋊C4C2311yescharacteristic
332C2×C11×C22⋊C4C2311yescharacteristic
333C2×C11×C22⋊C4C2311yescharacteristic
334C2×C11×C22⋊C4C2311yescharacteristic
335C2×C11×C22⋊C4C2311yescharacteristic
336C2×C11×C22⋊C4C2311yescharacteristic
337C2×C11×C22⋊C4C2311yescharacteristic
338C2×C11×C22⋊C4C2311yescharacteristic
339C2×C42×C11C2311yescharacteristic
340C2×C42×C11C2311yescharacteristic
341#67006C2318yes—
342#67006C2318yescomplemented
343C2×C22⋊Dic11C2311yescharacteristic
344C2×C22⋊Dic11C2311yescharacteristic
345C2×C22⋊Dic11C2311yescharacteristic
346C2×C22⋊Dic11C2311yescharacteristic
347C2×C22⋊Dic11C2311yescharacteristic
348C2×C22⋊Dic11C2311yescharacteristic
349C2×C22⋊Dic11C2311yescharacteristic
350C2×C22⋊Dic11C2311yescharacteristic
351C2×C22⋊Dic11C2311yescharacteristic
352C2×C22⋊Dic11C2311yescharacteristic
353C2×C22⋊Dic11C2311yescharacteristic
354C2×C22⋊Dic11C2311yescharacteristic
355C2×C22⋊Dic11C2311yescharacteristic
356C2×C22⋊Dic11C2311yescharacteristic
357C2×C22⋊Dic11C2311yescharacteristic
358C2×C22⋊Dic11C2311yescharacteristic
359C2×C22⋊Dic11C2311yescharacteristic
360C2×C22⋊Dic11C2311yescharacteristic
361C2×C22⋊Dic11C2318yescomplemented
362C2×C22⋊Dic11C2318yescomplemented
363#67000C2318yescomplemented
364#66999C2318yescomplemented
365#66999C2318yescomplemented
366#66997C2318yescomplemented
367#66993C2318yescomplemented
368#66993C2318yescomplemented
369#66993C2318yescomplemented
370#66992C2318yes—
371#66992C2318yes—
372#66992C2318yes—
373#66992C2318yes—
374#66992C2318yescomplemented
375#66992C2318yescomplemented
376#66992C2318yescomplemented
377#66992C2318yescomplemented
378#66992C2318yescomplemented
379#66992C2318yescomplemented
380#66992C2318yescomplemented
381#66992C2318yescomplemented
382#66992C2318yescomplemented
383#66992C2318yescomplemented
384#66992C2318yescomplemented
385#66992C2318yescomplemented
386#66992C2318yescomplemented
387#66992C2318yescomplemented
388#66992C2318yescomplemented
389#66992C2318yescomplemented
390#66992C2318yescomplemented
391#66992C2318yescomplemented
392#66992C2318yescomplemented
393#66992C2318yescomplemented
394#66991C2318yescomplemented
395#66991C2318yescomplemented
396#66991C2318yescomplemented
397#66991C2318yescomplemented
398#66990C2318yescomplemented
399#66990C2318yescomplemented
400#66990C2318yescomplemented
401#66990C2318yescomplemented
402#66990C2318yescomplemented
403#66990C2318yescomplemented
404#66990C2318yescomplemented
405#66990C2318yescomplemented
406#66989C2318yescomplemented
407#66988C2318yescomplemented
408#66988C2318yescomplemented
409#66988C2318yescomplemented
410#66988C2318yescomplemented
411#66988C2318yescomplemented
412#66988C2318yescomplemented
413#66988C2318yescomplemented
414#66988C2318yescomplemented
415D4×Dic11C2318yescomplemented
416D4×Dic11C2318yescomplemented
417D4×Dic11C2318yescomplemented
418D4×Dic11C2318yescomplemented
419D4×Dic11C2318yescomplemented
420D4×Dic11C2318yescomplemented
421#66983C2318yescomplemented
422#66982C2318yes—
423#66982C2318yescomplemented
424#66982C2318yescomplemented
425#66982C2318yescomplemented
426C4×C22⋊D11C2318yescomplemented
427C4×C22⋊D11C2318yescomplemented
428C2×(C2×D11)⋊C4C2311yescharacteristic
429C2×(C2×D11)⋊C4C2311yescharacteristic
430C2×(C2×D11)⋊C4C2311yescharacteristic
431C2×(C2×D11)⋊C4C2311yescharacteristic
432C2×(C2×D11)⋊C4C2311yescharacteristic
433C2×(C2×D11)⋊C4C2311yescharacteristic
434C2×(C2×D11)⋊C4C2311yescharacteristic
435C2×(C2×D11)⋊C4C2311yescharacteristic
436C2×(C2×D11)⋊C4C2311yescharacteristic
437C2×(C2×D11)⋊C4C2311yescharacteristic
438C2×(C2×D11)⋊C4C2311yescharacteristic
439C2×(C2×D11)⋊C4C2311yescharacteristic
440C2×(C2×D11)⋊C4C2311yescharacteristic
441C2×(C2×D11)⋊C4C2311yescharacteristic
442C2×(C2×D11)⋊C4C2311yescharacteristic
443C2×(C2×D11)⋊C4C2311yescharacteristic
444C2×(C2×D11)⋊C4C2311yescharacteristic
445C2×(C2×D11)⋊C4C2311yescharacteristic
446C2×(C2×D11)⋊C4C2311yescharacteristic
447C2×(C2×D11)⋊C4C2311yescharacteristic
448C2×(C2×D11)⋊C4C2318yescomplemented
449C2×(C2×D11)⋊C4C2318yescomplemented
450C2×C4⋊Dic11C2311yescharacteristic
451C2×C4⋊Dic11C2311yescharacteristic
452C2×C4⋊Dic11C2311yescharacteristic
453C2×C4⋊Dic11C2311yescharacteristic
454C2×C4⋊Dic11C2311yescharacteristic
455C2×C4⋊Dic11C2311yescharacteristic
456#66977C2318yescomplemented
457C2×Dic11⋊C4C2311yescharacteristic
458C2×Dic11⋊C4C2311yescharacteristic
459C2×Dic11⋊C4C2311yescharacteristic
460C2×Dic11⋊C4C2311yescharacteristic
461C2×Dic11⋊C4C2311yescharacteristic
462C2×Dic11⋊C4C2311yescharacteristic
463C2×Dic11⋊C4C2311yescharacteristic
464C2×Dic11⋊C4C2311yescharacteristic
465C2×Dic11⋊C4C2311yescharacteristic
466C2×Dic11⋊C4C2311yescharacteristic
467C2×Dic11⋊C4C2311yescharacteristic
468C2×Dic11⋊C4C2311yescharacteristic
469C2×Dic11⋊C4C2311yescharacteristic
470C2×Dic11⋊C4C2311yescharacteristic
471C2×Dic11⋊C4C2311yescharacteristic
472C2×Dic11⋊C4C2311yescharacteristic
473C2×Dic11⋊C4C2311yescharacteristic
474C2×Dic11⋊C4C2311yescharacteristic
475C2×Dic11⋊C4C2311yescharacteristic
476C2×Dic11⋊C4C2311yescharacteristic
477C2×Dic11⋊C4C2318yescomplemented
478C2×Dic11⋊C4C2318yescomplemented
479C2×C4×Dic11C2311yescharacteristic
480C2×C4×Dic11C2311yescharacteristic
481C2×C4×Dic11C2311yescharacteristic
482C2×C4×Dic11C2311yescharacteristic
483C2×C4×Dic11C2311yescharacteristic
484C2×C4×Dic11C2311yescharacteristic
485#66951C2318yescomplemented
486#66951C2318yescomplemented
487#66949C2318yescomplemented
488#66949C2318yescomplemented
489#66947C2318yescomplemented
490#66947C2318yescomplemented
491#66942C2318yescomplemented
492#66942C2318yescomplemented
493#66939C2318yes—
494#66939C2318yescomplemented
495#66939C2318yescomplemented
496#66939C2318yescomplemented
497#66938C2318yescomplemented
498#66938C2318yescomplemented
499#66938C2318yescomplemented
500#66938C2318yescomplemented
501#66937C2318yescomplemented
502#66937C2318yescomplemented
503#66937C2318yescomplemented
504#66937C2318yescomplemented
505#66937C2318yescomplemented
506#66937C2318yescomplemented
507#66936C2318yescomplemented
508#66936C2318yescomplemented
509#66936C2318yescomplemented
510#66936C2318yescomplemented
511#66935C2318yes—
512#66935C2318yescomplemented
513(C22⋊D11)⋊C4C2318yes—
514(C22⋊D11)⋊C4C2318yescomplemented
515(C22⋊D11)⋊C4C2318yescomplemented
516(C22⋊D11)⋊C4C2318yescomplemented
517(C22⋊D11)⋊C4C2318yescomplemented
518(C22⋊D11)⋊C4C2318yescomplemented
519C22⋊C4×D11C2318yescomplemented
520C22⋊C4×D11C2318yescomplemented
521#66932C2318yescomplemented
522#66932C2318yescomplemented
523#66931C2318yescomplemented
524#66931C2318yescomplemented
525#66931C2318yescomplemented
526#66931C2318yescomplemented
527#66931C2318yescomplemented
528#66931C2318yescomplemented
529#66930C2318yescomplemented
530#66930C2318yescomplemented
531#66930C2318yescomplemented
532#66930C2318yescomplemented
533#66929C2318yescomplemented
534#66929C2318yescomplemented
535#66928C2318yescomplemented
536C4×D44C2318yescomplemented
537#66925C2318yescomplemented
538#66925C2318yescomplemented
539#66923C2318yescomplemented
540C4×Dic22C2318yescomplemented
541C2×#3542—111nomaximal, Sylow
542C24×C11—24no—
543C24×C11—24no—
544C24×C11—42no—
545C24×C11—42no—
546C24×C11—42no—
547C24×C11—42no—
548C24×C11C2411yescharacteristic
549C24×C11C2411yescharacteristic
550C24×C11C2411yescharacteristic
551C24×C11C2411yescharacteristic
552C24×C11C2411yescharacteristic
553C24×C11C2411yescharacteristic
554C24×C11C2411yescharacteristic
555C24×C11C2414yes—
556C24×C11C2414yes—
557C23×D11—24no—
558C23×D11—42no—
559C23×D11—42no—
560C23×D11—42no—
561C23×D11—42no—
562C23×D11—42no—
563C23×D11—42no—
564C23×D11—42no—
565C23×D11—42no—
566C23×D11C2411yescharacteristic
567C23×D11C2411yescharacteristic
568C23×D11C2411yescharacteristic
569C23×D11C2411yescharacteristic
570C23×D11C2414yes—
571C23×D11C2414yes—
572C23×D11C2414yes—
573C11×#41—416no—
574C2×Q8×C11—42no—
575C2×Q8×C11C2414yes—
576C2×D4×C11—24no—
577C2×D4×C11—24no—
578C2×D4×C11—42no—
579C2×D4×C11—42no—
580C2×D4×C11—42no—
581C2×D4×C11—42no—
582C2×D4×C11—42no—
583C2×D4×C11—42no—
584C2×D4×C11—42no—
585C2×D4×C11—42no—
586C2×D4×C11—416no—
587C2×D4×C11—42no—
588C2×D4×C11—42no—
589C2×D4×C11—42no—
590C2×D4×C11—42no—
591C2×D4×C11—42no—
592C2×D4×C11C2414yes—
593C2×D4×C11C2414yes—
594C2×D4×C11C2414yes—
595C2×D4×C11C2414yes—
596C2×D4×C11C2414yes—
597C2×D4×C11C2414yes—
598C2×D4×C11C2414yes—
599C2×D4×C11C2414yes—
600C2×D4×C11C2414yes—
601C2×D4×C11C2414yes—
602C2×D4×C11C2414yes—
603C2×D4×C11C2414yes—
604C2×D4×C11C2414yes—
605C2×D4×C11C2414yes—
606C2×D4×C11C2414yes—
607C22×C4×C11—24no—
608C22×C4×C11—42no—
609C22×C4×C11—42no—
610C22×C4×C11C2411yescharacteristic
611C22×C4×C11C2411yescharacteristic
612C22×C4×C11C2411yescharacteristic
613C22×C4×C11C2411yescharacteristic
614C22×C4×C11C2411yescharacteristic
615C22×C4×C11C2411yescharacteristic
616C22×C4×C11C2411yescharacteristic
617C22×C4×C11C2411yescharacteristic
618C22×C4×C11C2414yes—
619C22×C4×C11C2414yes—
620C22×C4×C11C2414yes—
621C2×C22⋊D11—24no—
622C2×C22⋊D11—24no—
623C2×C22⋊D11—24no—
624C2×C22⋊D11—24no—
625C2×C22⋊D11—24no—
626C2×C22⋊D11—42no—
627C2×C22⋊D11—42no—
628C2×C22⋊D11—42no—
629C2×C22⋊D11—42no—
630C2×C22⋊D11—42no—
631C2×C22⋊D11—42no—
632C2×C22⋊D11—42no—
633C2×C22⋊D11—42no—
634C2×C22⋊D11—42no—
635C2×C22⋊D11—42no—
636C2×C22⋊D11—42no—
637C2×C22⋊D11—42no—
638C2×C22⋊D11—42no—
639C2×C22⋊D11—42no—
640C2×C22⋊D11—416no—
641C2×C22⋊D11—42no—
642C2×C22⋊D11—42no—
643C2×C22⋊D11—42no—
644C2×C22⋊D11—416no—
645C2×C22⋊D11—416no—
646C2×C22⋊D11C2414yes—
647C2×C22⋊D11C2414yes—
648C2×C22⋊D11C2414yes—
649C2×C22⋊D11C2414yes—
650C2×C22⋊D11C2414yes—
651C2×C22⋊D11C2414yes—
652C2×C22⋊D11C2414yes—
653C2×C22⋊D11C2414yes—
654C2×C22⋊D11C2414yes—
655C2×C22⋊D11C2414yes—
656C2×C22⋊D11C2414yes—
657C2×C22⋊D11C2414yes—
658C2×C22⋊D11C2414yes—
659C2×C22⋊D11C2414yes—
660C2×C22⋊D11C2414yes—
661C2×C22⋊D11C2414yes—
662C2×C22⋊D11C2414yes—
663C2×C22⋊D11C2414yes—
664C2×C22⋊D11C2414yes—
665C2×C22⋊D11C2414yes—
666C2×C22⋊D11C2414yes—
667C2×C22⋊D11C2414yes—
668C22×Dic11—24no—
669C22×Dic11—24no—
670C22×Dic11—24no—
671C22×Dic11—24no—
672C22×Dic11—24no—
673C22×Dic11—42no—
674C22×Dic11—42no—
675C22×Dic11—42no—
676C22×Dic11—42no—
677C22×Dic11—42no—
678C22×Dic11—42no—
679C22×Dic11—42no—
680C22×Dic11—42no—
681C22×Dic11—416no—
682C22×Dic11C2414yes—
683C22×Dic11C2414yes—
684C22×Dic11C2414yes—
685C22×Dic11C2414yes—
686C22×Dic11C2411yescharacteristic
687C22×Dic11C2411yescharacteristic
688C22×Dic11C2411yescharacteristic
689C22×Dic11C2411yescharacteristic
690C22×Dic11C2411yescharacteristic
691C22×Dic11C2411yescharacteristic
692C22×Dic11C2411yescharacteristic
693C22×Dic11C2411yescharacteristic
694C22×Dic11C2411yescharacteristic
695C22×Dic11C2411yescharacteristic
696C22×Dic11C2411yescharacteristic
697C22×Dic11C2414yes—
698C22×Dic11C2414yes—
699C22×Dic11C2414yes—
700C22×Dic11C2414yes—
701C22×Dic11C2414yes—
702C22×Dic11C2414yes—
703C22×Dic11C2414yes—
704C22×Dic11C2414yes—
705C22×Dic11C2414yes—
706C22×Dic11C2411yescharacteristic
707#4341—416no—
708#4341—416no—
709#4341—416no—
710#4341—416no—
711D4×D11—416no—
712D4×D11—416no—
713C2×D44—42no—
714C2×D44—42no—
715C2×D44—42no—
716C2×D44C2414yes—
717C2×D44C2414yes—
718C2×D44C2414yes—
719C2×C4×D11—24no—
720C2×C4×D11—42no—
721C2×C4×D11—42no—
722C2×C4×D11—42no—
723C2×C4×D11—42no—
724C2×C4×D11—42no—
725C2×C4×D11C2414yes—
726C2×C4×D11C2414yes—
727C2×C4×D11C2414yes—
728C2×C4×D11C2414yes—
729C2×C4×D11C2414yes—
730C2×C4×D11C2414yes—
731C2×Dic22—24no—
732C2×Dic22—42no—
733C2×Dic22—42no—
734C2×Dic22C2414yes—
735C2×Dic22C2414yes—
736C2×Dic22C2414yes—
737C11×C4⋊C4C2414yes—
738C11×C4⋊C4C2414yes—
739C11×C22⋊C4C2414yes—
740C11×C22⋊C4C2414yes—
741C11×C22⋊C4C2414yes—
742C11×C22⋊C4C2414yes—
743C11×C22⋊C4C2414yes—
744C11×C22⋊C4C2414yes—
745C11×C22⋊C4C2414yes—
746C11×C22⋊C4C2414yes—
747C11×C22⋊C4C2414yes—
748C11×C22⋊C4C2414yes—
749C42×C11C2414yes—
750C42×C11C2414yes—
751C22⋊Dic11C2414yes—
752C22⋊Dic11C2414yes—
753C22⋊Dic11C2414yes—
754C22⋊Dic11C2414yes—
755C22⋊Dic11C2414yes—
756C22⋊Dic11C2414yes—
757C22⋊Dic11C2414yes—
758C22⋊Dic11C2414yes—
759C22⋊Dic11C2414yes—
760C22⋊Dic11C2414yes—
761C22⋊Dic11C2414yes—
762C22⋊Dic11C2414yes—
763C22⋊Dic11C2414yes—
764C22⋊Dic11C2414yes—
765C22⋊Dic11C2414yes—
766C22⋊Dic11C2414yes—
767C22⋊Dic11C2414yes—
768C22⋊Dic11C2414yes—
769(C2×D11)⋊C4C2414yes—
770(C2×D11)⋊C4C2414yes—
771(C2×D11)⋊C4C2414yes—
772(C2×D11)⋊C4C2414yes—
773(C2×D11)⋊C4C2414yes—
774(C2×D11)⋊C4C2414yes—
775(C2×D11)⋊C4C2414yes—
776(C2×D11)⋊C4C2414yes—
777(C2×D11)⋊C4C2414yes—
778(C2×D11)⋊C4C2414yes—
779(C2×D11)⋊C4C2414yes—
780(C2×D11)⋊C4C2414yes—
781(C2×D11)⋊C4C2414yes—
782(C2×D11)⋊C4C2414yes—
783(C2×D11)⋊C4C2414yes—
784(C2×D11)⋊C4C2414yes—
785(C2×D11)⋊C4C2414yes—
786(C2×D11)⋊C4C2414yes—
787(C2×D11)⋊C4C2414yes—
788(C2×D11)⋊C4C2414yes—
789C4⋊Dic11C2414yes—
790C4⋊Dic11C2414yes—
791C4⋊Dic11C2414yes—
792C4⋊Dic11C2414yes—
793C4⋊Dic11C2414yes—
794C4⋊Dic11C2414yes—
795Dic11⋊C4C2414yes—
796Dic11⋊C4C2414yes—
797Dic11⋊C4C2414yes—
798Dic11⋊C4C2414yes—
799Dic11⋊C4C2414yes—
800Dic11⋊C4C2414yes—
801Dic11⋊C4C2414yes—
802Dic11⋊C4C2414yes—
803Dic11⋊C4C2414yes—
804Dic11⋊C4C2414yes—
805Dic11⋊C4C2414yes—
806Dic11⋊C4C2414yes—
807Dic11⋊C4C2414yes—
808Dic11⋊C4C2414yes—
809Dic11⋊C4C2414yes—
810Dic11⋊C4C2414yes—
811Dic11⋊C4C2414yes—
812Dic11⋊C4C2414yes—
813Dic11⋊C4C2414yes—
814Dic11⋊C4C2414yes—
815C4×Dic11C2414yes—
816C4×Dic11C2414yes—
817C4×Dic11C2414yes—
818C4×Dic11C2414yes—
819C4×Dic11C2414yes—
820C4×Dic11C2414yes—
821#3542—1132no—
822C2×#562—111no—
823C2×#562—111no—
824C2×#560—111no—
825C2×#560—111no—
826C2×#555—111no—
827C2×#553—111no—
828C2×#552—111no—
829C2×#551—111no—
830C2×#551—111no—
831C2×#550—111no—
832C2×#547—111no—
833C2×#546—111no—
834C2×#546—111no—
835C2×#546—111no—
836C2×#546—111no—
837C2×D42—111no—
838C2×#542—111no—
839C2×#540—111no—
840C2×#540—111no—
841C2×#540—111no—
842C2×#538—111no—
843C2×#538—111no—
844C2×#537—111no—
845C2×#535—111no—
846C2×#535—111no—
847C2×#535D1111yescharacteristic, complemented
848C2×#534—111no—
849C2×#534—111no—
850C2×#525—111no—
851C2×#525—111no—
852C22×#121—111no—
853C23×C11—22no—
854C23×C11—22no—
855C23×C11—22no—
856C23×C11—22no—
857C23×C11—22no—
858C23×C11—22no—
859C23×C11—22no—
860C23×C11—22no—
861C23×C11—22no—
862C23×C11—22no—
863C23×C11—28no—
864C23×C11—22no—
865C23×C11—22no—
866C23×C11—22no—
867C23×C11—22no—
868C23×C11—22no—
869C23×C11—22no—
870C23×C11—22no—
871C23×C11—22no—
872C23×C11—22no—
873C23×C11—22no—
874C23×C11—28no—
875C23×C11—44no—
876C23×C11—44no—
877C23×C11—44no—
878C23×C11—44no—
879C23×C11—416no—
880C23×C11—88no—
881C23×C11H(5,𝔽2)14yes—
882C23×C11C2512yes—
883C23×C11C2512yes—
884C23×C11C2512yes—
885C23×C11C2512yes—
886C23×C11C2512yes—
887C23×C11C2512yes—
888C23×C11C2512yes—
889C23×C11C2511yescharacteristic
890C22×D11—22no—
891C22×D11—22no—
892C22×D11—22no—
893C22×D11—22no—
894C22×D11—22no—
895C22×D11—22no—
896C22×D11—22no—
897C22×D11—22no—
898C22×D11—22no—
899C22×D11—22no—
900C22×D11—22no—
901C22×D11—22no—
902C22×D11—28no—
903C22×D11—44no—
904C22×D11—44no—
905C22×D11—44no—
906C22×D11—44no—
907C22×D11—44no—
908C22×D11—44no—
909C22×D11—44no—
910C22×D11—44no—
911C22×D11—88no—
912C22×D11—88no—
913C22×D11—88no—
914C22×D11C2512yes—
915C22×D11C2512yes—
916C22×D11C2512yes—
917C22×D11C2512yes—
918Q8×C11—44no—
919D4×C11—28no—
920D4×C11—28no—
921D4×C11—44no—
922D4×C11—44no—
923D4×C11—44no—
924D4×C11—44no—
925D4×C11—44no—
926D4×C11—44no—
927D4×C11—44no—
928D4×C11—44no—
929D4×C11—44no—
930D4×C11—44no—
931D4×C11—44no—
932D4×C11—44no—
933D4×C11—44no—
934C2×C4×C11—22no—
935C2×C4×C11—22no—
936C2×C4×C11—22no—
937C2×C4×C11—22no—
938C2×C4×C11—22no—
939C2×C4×C11—22no—
940C2×C4×C11—28no—
941C2×C4×C11—22no—
942C2×C4×C11—22no—
943C2×C4×C11—44no—
944C2×C4×C11—44no—
945C2×C4×C11C2512yes—
946C2×C4×C11C2512yes—
947C2×C4×C11C2512yes—
948C2×C4×C11C2512yes—
949C2×C4×C11C2512yes—
950C2×C4×C11C2512yes—
951C2×C4×C11C2512yes—
952C2×C4×C11C2512yes—
953C22⋊D11—28no—
954C22⋊D11—28no—
955C22⋊D11—28no—
956C22⋊D11—28no—
957C22⋊D11—28no—
958C22⋊D11—44no—
959C22⋊D11—44no—
960C22⋊D11—44no—
961C22⋊D11—44no—
962C22⋊D11—44no—
963C22⋊D11—44no—
964C22⋊D11—44no—
965C22⋊D11—44no—
966C22⋊D11—44no—
967C22⋊D11—44no—
968C22⋊D11—44no—
969C22⋊D11—44no—
970C22⋊D11—44no—
971C22⋊D11—44no—
972C22⋊D11—44no—
973C22⋊D11—44no—
974C22⋊D11—44no—
975C2×Dic11—22no—
976C2×Dic11—22no—
977C2×Dic11—22no—
978C2×Dic11—22no—
979C2×Dic11—22no—
980C2×Dic11—22no—
981C2×Dic11—22no—
982C2×Dic11—22no—
983C2×Dic11—28no—
984C2×Dic11—22no—
985C2×Dic11—22no—
986C2×Dic11—22no—
987C2×Dic11—28no—
988C2×Dic11—28no—
989C2×Dic11—28no—
990C2×Dic11—28no—
991C2×Dic11—44no—
992C2×Dic11—44no—
993C2×Dic11—44no—
994C2×Dic11—44no—
995C2×Dic11—44no—
996C2×Dic11—44no—
997C2×Dic11—44no—
998C2×Dic11—44no—
999C2×Dic11H(5,𝔽2)14yes—
1000C2×Dic11C2512yes—
1001C2×Dic11C2512yes—
1002C2×Dic11C2512yes—
1003C2×Dic11C2512yes—
1004C2×Dic11C2512yes—
1005C2×Dic11C2512yes—
1006C2×Dic11C2512yes—
1007C2×Dic11C2512yes—
1008C2×Dic11C2512yes—
1009C2×Dic11C2512yes—
1010C2×Dic11C2512yes—
1011C2×Dic11C2512yes—
1012D44—44no—
1013D44—44no—
1014D44—44no—
1015C4×D11—28no—
1016C4×D11—44no—
1017C4×D11—44no—
1018C4×D11—44no—
1019C4×D11—44no—
1020C4×D11—44no—
1021Dic22—28no—
1022Dic22—44no—
1023Dic22—44no—
1024C22×#41—111no—
1025C22×#41—111no—
1026C22×#41—111no—
1027C22×#41—111no—
1028C22×#41C2×D1111yescharacteristic, complemented
1029C23×D4—111no—
1030C23×D4—111no—
1031C23×D4—111no—
1032C23×D4—111no—
1033C23×D4—111no—
1034C23×D4C2×D1111yescharacteristic, complemented
1035C24×C4—111no—
1036#562—1116no—
1037#562—1116no—
1038#560—1116no—
1039#560—1116no—
1040#555—1116no—
1041#553—1116no—
1042#552—1116no—
1043#551—1116no—
1044#551—1116no—
1045#550—1116no—
1046#547—1116no—
1047#546—1116no—
1048#546—1116no—
1049#546—1116no—
1050#546—1116no—
1051D42—1116no—
1052#542—1116no—
1053#540—1116no—
1054#540—1116no—
1055#540—1116no—
1056#538—1116no—
1057#538—1116no—
1058#537—1116no—
1059#535—1116no—
1060#535—1116no—
1061#535C2×D11116yescomplemented
1062#534—1116no—
1063#534—1116no—
1064C2×C4⋊Q8—111no—
1065C2×#127—111no—
1066C2×#127—111no—
1067C2×#127—111no—
1068C2×#127C2×D1111yescharacteristic, complemented
1069C2×#127C2×D1111yescharacteristic, complemented
1070C2×#126—111no—
1071C2×#126—111no—
1072C2×#126—111no—
1073C2×#126—111no—
1074C2×#126—111no—
1075C2×#126—111no—
1076C2×#125—111no—
1077C2×#125—111no—
1078C2×#125—111no—
1079C2×#124—111no—
1080C2×#124—111no—
1081C2×#124—111no—
1082C2×#124—111no—
1083C2×#124—111no—
1084C2×#124—111no—
1085C2×#124—111no—
1086C2×#124C2×D1111yescharacteristic, complemented
1087C2×#124C2×D1111yescharacteristic, complemented
1088#525—1116no—
1089#525—1116no—
1090C2×#123—111no—
1091C2×#123—111no—
1092C2×#123—111no—
1093C2×#123—111no—
1094C2×#123—111no—
1095C2×#123—111no—
1096C2×#123—111no—
1097C2×#123—111no—
1098C2×#123—111no—
1099C2×#123—111no—
1100C2×#123—111no—
1101C2×#123—111no—
1102C2×#123—111no—
1103C2×#123—111no—
1104C2×#123—111no—
1105C2×#123—111no—
1106C2×#123—111no—
1107C2×#123—111no—
1108C2×#123—111no—
1109C2×#123—111no—
1110C2×#123—111no—
1111C2×#123—111no—
1112C2×C22⋊Q8—111no—
1113C2×C22⋊Q8—111no—
1114C2×C22⋊Q8—111no—
1115C2×C22⋊Q8—111no—
1116C2×C22⋊Q8—111no—
1117C2×C22⋊Q8—111no—
1118C2×C22⋊Q8—111no—
1119C2×C22⋊Q8—111no—
1120C2×C22⋊Q8—111no—
1121C2×C22⋊Q8—111no—
1122C2×C22⋊Q8—111no—
1123C2×#121—111no—
1124C2×#121—111no—
1125C2×#121—111no—
1126C2×#121—111no—
1127C2×#121—111no—
1128C2×#121—111no—
1129C2×#121—111no—
1130C2×#121—111no—
1131C2×#121—111no—
1132C2×#121—111no—
1133C2×#121—111no—
1134C2×#121—111no—
1135C2×#121—111no—
1136C2×#121—111no—
1137C2×#121—111no—
1138C2×#121—111no—
1139C2×#121—111no—
1140C2×#121—111no—
1141C2×#121—111no—
1142C2×#121—111no—
1143C2×#121—111no—
1144C2×#121—111no—
1145C2×#121—111no—
1146C2×#121—111no—
1147C2×#121—111no—
1148C2×#121—111no—
1149C2×#121—111no—
1150C2×#121—111no—
1151C2×#121—1116no—
1152C2×#121—111no—
1153C2×#121—111no—
1154C2×#121—111no—
1155C2×#121—111no—
1156C2×#121—111no—
1157C2×#121—111no—
1158C2×#121—111no—
1159C2×#121C2×D1111yescharacteristic, complemented
1160C2×#121C2×D1111yescharacteristic, complemented
1161C2×#121C2×D1111yescharacteristic, complemented
1162C2×#121C2×D1111yescharacteristic, complemented
1163C2×#120—111no—
1164C2×#120—111no—
1165C2×#120—111no—
1166C2×#120—111no—
1167C2×#120—111no—
1168C2×#120—111no—
1169C2×#120—111no—
1170C2×#120—111no—
1171C2×#120—111no—
1172C2×#120—111no—
1173C2×#120—111no—
1174C2×#120—111no—
1175C2×#120C2×D1111yescharacteristic
1176C2×#120C2×D1111yescharacteristic, complemented
1177C2×#120C2×D1111yescharacteristic, complemented
1178C2×#120C2×D1111yescharacteristic, complemented
1179C2×C4×Q8—111no—
1180C2×C4×D4—111no—
1181C2×C4×D4—111no—
1182C2×C4×D4—111no—
1183C2×C4×D4—111no—
1184C2×C4×D4—111no—
1185C2×C4×D4—111no—
1186C2×C4×D4—111no—
1187C2×C4×D4—111no—
1188C2×C4×D4—111no—
1189C2×C4×D4—111no—
1190C2×C4×D4—111no—
1191C2×C4×D4—111no—
1192C2×C4×D4—111no—
1193C2×C4×D4—111no—
1194C2×C4×D4—111no—
1195C2×#117—111no—
1196C2×#117—111no—
1197C2×#117—111no—
1198C2×#117—111no—
1199C2×#117—111no—
1200C2×#117—111no—
1201C2×#117C2×D1111yescharacteristic, complemented
1202C22×C4⋊C4—111no—
1203C22×C4⋊C4—111no—
1204C22×C22⋊C4—111no—
1205C22×C22⋊C4—111no—
1206C22×C22⋊C4—111no—
1207C22×C22⋊C4—111no—
1208C22×C22⋊C4—111no—
1209C22×C22⋊C4—111no—
1210C22×C11—22no—
1211C22×C11—22no—
1212C22×C11—28no—
1213C22×C11—22no—
1214C22×C11—22no—
1215C22×C11—22no—
1216C22×C11—22no—
1217C22×C11—22no—
1218C22×C11—22no—
1219C22×C11—22no—
1220C22×C11—22no—
1221C22×C11—22no—
1222C22×C11—22no—
1223C22×C11—22no—
1224C22×C11—22no—
1225C22×C11—22no—
1226C22×C11—22no—
1227C22×C11—22no—
1228C22×C11—22no—
1229C22×C11—22no—
1230C22×C11—22no—
1231C22×C11—416no—
1232C22×C11—44no—
1233C22×C11—44no—
1234C22×C11—44no—
1235C22×C11—44no—
1236C22×C11—44no—
1237C22×C11—44no—
1238C22×C11—88no—
1239C22×C11C2×H(5,𝔽2)14yes—
1240C22×C11C2×H(5,𝔽2)12yes—
1241C22×C11C2×H(5,𝔽2)12yes—
1242C22×C11#58512yes—
1243C22×C11C2611yescharacteristic
1244C2×D11—22no—
1245C2×D11—22no—
1246C2×D11—22no—
1247C2×D11—22no—
1248C2×D11—22no—
1249C2×D11—22no—
1250C2×D11—22no—
1251C2×D11—22no—
1252C2×D11—22no—
1253C2×D11—22no—
1254C2×D11—22no—
1255C2×D11—22no—
1256C2×D11—44no—
1257C2×D11—44no—
1258C2×D11—44no—
1259C2×D11—44no—
1260C2×D11—88no—
1261C2×D11—88no—
1262C2×D11—88no—
1263C4×C11—22no—
1264C4×C11—22no—
1265C4×C11—22no—
1266C4×C11—22no—
1267C4×C11—22no—
1268C4×C11—22no—
1269C4×C11—22no—
1270C4×C11—22no—
1271Dic11—22no—
1272Dic11—22no—
1273Dic11—22no—
1274Dic11—22no—
1275Dic11—22no—
1276Dic11—22no—
1277Dic11—22no—
1278Dic11—22no—
1279Dic11—22no—
1280Dic11—22no—
1281Dic11—22no—
1282Dic11C2×H(5,𝔽2)14yes—
1283C25—111no—
1284C25—111no—
1285C25—111no—
1286C25C22×D1111yescharacteristic
1287C25C22×D1111yescharacteristic
1288C2×#41—44no—
1289C2×#41—118no—
1290C2×#41—118no—
1291C2×#41—118no—
1292C2×#41—118no—
1293C2×#41—444no—
1294C2×#41—444no—
1295C2×#41—444no—
1296C2×#41—444no—
1297C2×#41C22×D1118yescomplemented
1298C22×Q8—111no—
1299C22×Q8—111no—
1300C22×Q8—111no—
1301C22×Q8C22×D1111yescharacteristic
1302C22×D4—44no—
1303C22×D4—111no—
1304C22×D4—111no—
1305C22×D4—111no—
1306C22×D4—111no—
1307C22×D4—111no—
1308C22×D4—111no—
1309C22×D4—111no—
1310C22×D4—111no—
1311C22×D4—111no—
1312C22×D4—111no—
1313C22×D4—111no—
1314C22×D4—111no—
1315C22×D4—111no—
1316C22×D4—111no—
1317C22×D4—111no—
1318C22×D4—111no—
1319C22×D4—111no—
1320C22×D4—111no—
1321C22×D4—111no—
1322C22×D4—111no—
1323C22×D4—111no—
1324C22×D4—111no—
1325C22×D4—118no—
1326C22×D4—118no—
1327C22×D4—118no—
1328C22×D4—118no—
1329C22×D4—118no—
1330C22×D4—111no—
1331C22×D4—111no—
1332C22×D4—111no—
1333C22×D4—444no—
1334C22×D4—444no—
1335C22×D4—444no—
1336C22×D4—444no—
1337C22×D4—444no—
1338C22×D4C22×D1111yescharacteristic
1339C22×D4C22×D1111yescharacteristic
1340C22×D4C22×D1111yescharacteristic
1341C22×D4C22×D1111yescharacteristic
1342C22×D4C22×D1111yescharacteristic
1343C22×D4C22×D1111yescharacteristic
1344C22×D4C22×D1111yescharacteristic
1345C22×D4C22×D1111yescharacteristic
1346C22×D4C22×D1111yescharacteristic
1347C22×D4C22×D1111yescharacteristic
1348C22×D4C22×D1111yescharacteristic
1349C22×D4C22×D1111yescharacteristic
1350C22×D4C22×D1111yescharacteristic
1351C22×D4C22×D1111yescharacteristic
1352C22×D4C22×D1111yescharacteristic
1353C22×D4C22×D1118yescomplemented
1354C23×C4—111no—
1355C23×C4—111no—
1356C23×C4—111no—
1357C23×C4—111no—
1358C23×C4—111no—
1359C23×C4—111no—
1360C23×C4—111no—
1361C23×C4—111no—
1362C23×C4—111no—
1363C23×C4—111no—
1364C23×C4—111no—
1365C23×C4—111no—
1366C23×C4—111no—
1367C23×C4—118no—
1368C23×C4—111no—
1369C23×C4—111no—
1370C23×C4—111no—
1371C23×C4—111no—
1372C23×C4—111no—
1373C23×C4—111no—
1374C23×C4—444no—
1375C23×C4C22×D1111yescharacteristic
1376C23×C4C22×D1111yescharacteristic
1377C23×C4C22×D1111yescharacteristic
1378C4⋊Q8—118no—
1379#127—118no—
1380#127—118no—
1381#127—118no—
1382#127C22×D1118yescomplemented
1383#127C22×D1118yescomplemented
1384#126—118no—
1385#126—118no—
1386#126—118no—
1387#126—118no—
1388#126—118no—
1389#126—118no—
1390#125—118no—
1391#125—118no—
1392#125—118no—
1393#124—118no—
1394#124—118no—
1395#124—118no—
1396#124—118no—
1397#124—118no—
1398#124—118no—
1399#124—118no—
1400#124C22×D1118yescomplemented
1401#124C22×D1118yescomplemented
1402#123—118no—
1403#123—118no—
1404#123—118no—
1405#123—118no—
1406#123—118no—
1407#123—118no—
1408#123—118no—
1409#123—118no—
1410#123—118no—
1411#123—118no—
1412#123—118no—
1413#123—118no—
1414#123—118no—
1415#123—118no—
1416#123—118no—
1417#123—118no—
1418#123—118no—
1419#123—118no—
1420#123—118no—
1421#123—118no—
1422#123—118no—
1423#123—118no—
1424C22⋊Q8—118no—
1425C22⋊Q8—118no—
1426C22⋊Q8—118no—
1427C22⋊Q8—118no—
1428C22⋊Q8—118no—
1429C22⋊Q8—118no—
1430C22⋊Q8—118no—
1431C22⋊Q8—118no—
1432C22⋊Q8—118no—
1433C22⋊Q8—118no—
1434C22⋊Q8—118no—
1435#121—118no—
1436#121—118no—
1437#121—118no—
1438#121—118no—
1439#121—118no—
1440#121—118no—
1441#121—118no—
1442#121—118no—
1443#121—118no—
1444#121—118no—
1445#121—118no—
1446#121—118no—
1447#121—118no—
1448#121—118no—
1449#121—118no—
1450#121—118no—
1451#121—118no—
1452#121—118no—
1453#121—118no—
1454#121—118no—
1455#121—118no—
1456#121—118no—
1457#121—118no—
1458#121—118no—
1459#121—118no—
1460#121—118no—
1461#121—118no—
1462#121—118no—
1463#121—118no—
1464#121—118no—
1465#121—118no—
1466#121—118no—
1467#121—118no—
1468#121—118no—
1469#121—118no—
1470#121C22×D1118yescomplemented
1471#121C22×D1118yescomplemented
1472#121C22×D1118yescomplemented
1473#121C22×D1118yescomplemented
1474#120—118no—
1475#120—118no—
1476#120—118no—
1477#120—118no—
1478#120—118no—
1479#120—118no—
1480#120—118no—
1481#120—118no—
1482#120—118no—
1483#120—118no—
1484#120—118no—
1485#120—118no—
1486#120C22×D1118yes—
1487#120C22×D1118yescomplemented
1488#120C22×D1118yescomplemented
1489#120C22×D1118yescomplemented
1490C4×Q8—118no—
1491C4×D4—118no—
1492C4×D4—118no—
1493C4×D4—118no—
1494C4×D4—118no—
1495C4×D4—118no—
1496C4×D4—118no—
1497C4×D4—118no—
1498C4×D4—118no—
1499C4×D4—118no—
1500C4×D4—118no—
1501C4×D4—118no—
1502C4×D4—118no—
1503C4×D4—118no—
1504C4×D4—118no—
1505C4×D4—118no—
1506#117—118no—
1507#117—118no—
1508#117—118no—
1509#117—118no—
1510#117—118no—
1511#117—118no—
1512#117C22×D1118yescomplemented
1513C2×C4⋊C4—111no—
1514C2×C4⋊C4—111no—
1515C2×C4⋊C4—111no—
1516C2×C4⋊C4—111no—
1517C2×C4⋊C4—111no—
1518C2×C4⋊C4—118no—
1519C2×C4⋊C4—111no—
1520C2×C4⋊C4—111no—
1521C2×C4⋊C4—118no—
1522C2×C4⋊C4—111no—
1523C2×C4⋊C4—111no—
1524C2×C4⋊C4—111no—
1525C2×C4⋊C4—111no—
1526C2×C4⋊C4—111no—
1527C2×C4⋊C4—111no—
1528C2×C4⋊C4—111no—
1529C2×C4⋊C4—111no—
1530C2×C4⋊C4—111no—
1531C2×C4⋊C4—111no—
1532C2×C4⋊C4—111no—
1533C2×C4⋊C4—111no—
1534C2×C4⋊C4—111no—
1535C2×C4⋊C4—111no—
1536C2×C4⋊C4—111no—
1537C2×C4⋊C4—111no—
1538C2×C4⋊C4—111no—
1539C2×C4⋊C4—111no—
1540C2×C4⋊C4—111no—
1541C2×C4⋊C4C22×D1111yescharacteristic
1542C2×C4⋊C4C22×D1111yescharacteristic
1543C2×C22⋊C4—111no—
1544C2×C22⋊C4—111no—
1545C2×C22⋊C4—111no—
1546C2×C22⋊C4—111no—
1547C2×C22⋊C4—111no—
1548C2×C22⋊C4—111no—
1549C2×C22⋊C4—111no—
1550C2×C22⋊C4—111no—
1551C2×C22⋊C4—118no—
1552C2×C22⋊C4—118no—
1553C2×C22⋊C4—111no—
1554C2×C22⋊C4—111no—
1555C2×C22⋊C4—111no—
1556C2×C22⋊C4—111no—
1557C2×C22⋊C4—111no—
1558C2×C22⋊C4—111no—
1559C2×C22⋊C4—111no—
1560C2×C22⋊C4—111no—
1561C2×C22⋊C4—111no—
1562C2×C22⋊C4—111no—
1563C2×C22⋊C4—111no—
1564C2×C22⋊C4—111no—
1565C2×C22⋊C4—111no—
1566C2×C22⋊C4—111no—
1567C2×C22⋊C4—111no—
1568C2×C22⋊C4—111no—
1569C2×C22⋊C4—111no—
1570C2×C22⋊C4—111no—
1571C2×C22⋊C4—111no—
1572C2×C22⋊C4—111no—
1573C2×C22⋊C4—118no—
1574C2×C22⋊C4—118no—
1575C2×C22⋊C4—111no—
1576C2×C22⋊C4—111no—
1577C2×C22⋊C4—111no—
1578C2×C22⋊C4—111no—
1579C2×C22⋊C4—111no—
1580C2×C22⋊C4—111no—
1581C2×C22⋊C4—111no—
1582C2×C22⋊C4—111no—
1583C2×C22⋊C4—111no—
1584C2×C22⋊C4—111no—
1585C2×C22⋊C4—118no—
1586C2×C22⋊C4—118no—
1587C2×C22⋊C4C22×D1111yescharacteristic
1588C2×C22⋊C4C22×D1111yescharacteristic
1589C2×C22⋊C4C22×D1111yescharacteristic
1590C2×C22⋊C4C22×D1111yescharacteristic
1591C2×C22⋊C4C22×D1111yescharacteristic
1592C2×C22⋊C4C22×D1111yescharacteristic
1593C2×C22⋊C4C22×D1111yescharacteristic
1594C2×C22⋊C4C22×D1111yescharacteristic
1595C2×C22⋊C4C22×D1111yescharacteristic
1596C2×C22⋊C4C22×D1111yescharacteristic
1597C2×C42—111no—
1598C2×C42—111no—
1599C2×C42—111no—
1600C2×C42—111no—
1601C2×C42—111no—
1602C2×C42—111no—
1603C2×C42C22×D1111yescharacteristic
1604C2×C42C22×D1111yescharacteristic
1605C2×C11—24no—
1606C2×C11—42no—
1607C2×C11—42no—
1608C2×C11—42no—
1609C2×C11—42no—
1610C2×C11—42no—
1611C2×C11—42no—
1612C2×C11#354214yescomplemented
1613C2×C11C22×H(5,𝔽2)11yescharacteristic
1614C2×C11C22×H(5,𝔽2)11yescharacteristic
1615C2×C11C2×#58511yescharacteristic
1616D11—42no—
1617D11—42no—
1618D11—42no—
1619D11—42no—
1620C24—24no—
1621C24—24no—
1622C24—42no—
1623C24—42no—
1624C24—42no—
1625C24—42no—
1626C24—111no—
1627C24—111no—
1628C24—111no—
1629C24—111no—
1630C24—114no—
1631C24—114no—
1632C24—114no—
1633C24—224no—
1634C24—442no—
1635C24—442no—
1636C24—442no—
1637C24—442no—
1638C24—442no—
1639C24—442no—
1640C24—442no—
1641C24—442no—
1642C24C23×D1111yescharacteristic
1643C24C23×D1111yescharacteristic
1644C24C23×D1111yescharacteristic
1645C24C23×D1111yescharacteristic
1646C24C23×D1111yescharacteristic
1647C24C23×D1111yescharacteristic
1648C24C23×D1111yescharacteristic
1649C24C23×D1114yes—
1650C24C23×D1114yes—
1651#41—416no—
1652#41—4416no—
1653#41—4416no—
1654#41—4416no—
1655#41—4416no—
1656C2×Q8—42no—
1657C2×Q8—114no—
1658C2×Q8—114no—
1659C2×Q8—114no—
1660C2×Q8—224no—
1661C2×Q8—442no—
1662C2×Q8—442no—
1663C2×Q8C23×D1114yes—
1664C2×D4—24no—
1665C2×D4—24no—
1666C2×D4—42no—
1667C2×D4—42no—
1668C2×D4—42no—
1669C2×D4—42no—
1670C2×D4—416no—
1671C2×D4—42no—
1672C2×D4—42no—
1673C2×D4—42no—
1674C2×D4—42no—
1675C2×D4—42no—
1676C2×D4—42no—
1677C2×D4—42no—
1678C2×D4—42no—
1679C2×D4—42no—
1680C2×D4—114no—
1681C2×D4—114no—
1682C2×D4—114no—
1683C2×D4—114no—
1684C2×D4—114no—
1685C2×D4—114no—
1686C2×D4—114no—
1687C2×D4—114no—
1688C2×D4—114no—
1689C2×D4—114no—
1690C2×D4—114no—
1691C2×D4—114no—
1692C2×D4—114no—
1693C2×D4—114no—
1694C2×D4—114no—
1695C2×D4—114no—
1696C2×D4—114no—
1697C2×D4—114no—
1698C2×D4—114no—
1699C2×D4—114no—
1700C2×D4—114no—
1701C2×D4—114no—
1702C2×D4—114no—
1703C2×D4—114no—
1704C2×D4—114no—
1705C2×D4—224no—
1706C2×D4—224no—
1707C2×D4—224no—
1708C2×D4—224no—
1709C2×D4—224no—
1710C2×D4—442no—
1711C2×D4—442no—
1712C2×D4—442no—
1713C2×D4—4416no—
1714C2×D4—4416no—
1715C2×D4—442no—
1716C2×D4—442no—
1717C2×D4—442no—
1718C2×D4—442no—
1719C2×D4—4416no—
1720C2×D4—442no—
1721C2×D4—442no—
1722C2×D4—442no—
1723C2×D4—442no—
1724C2×D4—442no—
1725C2×D4—442no—
1726C2×D4—442no—
1727C2×D4—442no—
1728C2×D4—442no—
1729C2×D4—442no—
1730C2×D4—442no—
1731C2×D4—442no—
1732C2×D4—442no—
1733C2×D4—4416no—
1734C2×D4—4416no—
1735C2×D4C23×D1114yes—
1736C2×D4C23×D1114yes—
1737C2×D4C23×D1114yes—
1738C2×D4C23×D1114yes—
1739C2×D4C23×D1114yes—
1740C2×D4C23×D1114yes—
1741C2×D4C23×D1114yes—
1742C2×D4C23×D1114yes—
1743C2×D4C23×D1114yes—
1744C2×D4C23×D1114yes—
1745C2×D4C23×D1114yes—
1746C2×D4C23×D1114yes—
1747C2×D4C23×D1114yes—
1748C2×D4C23×D1114yes—
1749C2×D4C23×D1114yes—
1750C22×C4—24no—
1751C22×C4—42no—
1752C22×C4—42no—
1753C22×C4—111no—
1754C22×C4—114no—
1755C22×C4—114no—
1756C22×C4—114no—
1757C22×C4—114no—
1758C22×C4—114no—
1759C22×C4—111no—
1760C22×C4—111no—
1761C22×C4—111no—
1762C22×C4—111no—
1763C22×C4—111no—
1764C22×C4—111no—
1765C22×C4—111no—
1766C22×C4—111no—
1767C22×C4—111no—
1768C22×C4—111no—
1769C22×C4—111no—
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—224no—
1785C22×C4—224no—
1786C22×C4—224no—
1787C22×C4—224no—
1788C22×C4—224no—
1789C22×C4—224no—
1790C22×C4—442no—
1791C22×C4—442no—
1792C22×C4—442no—
1793C22×C4—442no—
1794C22×C4—442no—
1795C22×C4—4416no—
1796C22×C4—442no—
1797C22×C4—442no—
1798C22×C4—442no—
1799C22×C4—442no—
1800C22×C4—442no—
1801C22×C4—442no—
1802C22×C4—442no—
1803C22×C4—442no—
1804C22×C4C23×D1114yes—
1805C22×C4C23×D1111yescharacteristic
1806C22×C4C23×D1111yescharacteristic
1807C22×C4C23×D1111yescharacteristic
1808C22×C4C23×D1111yescharacteristic
1809C22×C4C23×D1111yescharacteristic
1810C22×C4C23×D1111yescharacteristic
1811C22×C4C23×D1111yescharacteristic
1812C22×C4C23×D1111yescharacteristic
1813C22×C4C23×D1114yes—
1814C22×C4C23×D1114yes—
1815C4⋊C4—114no—
1816C4⋊C4—114no—
1817C4⋊C4—114no—
1818C4⋊C4—114no—
1819C4⋊C4—114no—
1820C4⋊C4—114no—
1821C4⋊C4—114no—
1822C4⋊C4—114no—
1823C4⋊C4—114no—
1824C4⋊C4—114no—
1825C4⋊C4—114no—
1826C4⋊C4—114no—
1827C4⋊C4—114no—
1828C4⋊C4—114no—
1829C4⋊C4—114no—
1830C4⋊C4—114no—
1831C4⋊C4—114no—
1832C4⋊C4—114no—
1833C4⋊C4—114no—
1834C4⋊C4—114no—
1835C4⋊C4—114no—
1836C4⋊C4—114no—
1837C4⋊C4—114no—
1838C4⋊C4—114no—
1839C4⋊C4—114no—
1840C4⋊C4—114no—
1841C4⋊C4C23×D1114yes—
1842C4⋊C4C23×D1114yes—
1843C22⋊C4—114no—
1844C22⋊C4—114no—
1845C22⋊C4—114no—
1846C22⋊C4—114no—
1847C22⋊C4—114no—
1848C22⋊C4—114no—
1849C22⋊C4—114no—
1850C22⋊C4—114no—
1851C22⋊C4—114no—
1852C22⋊C4—114no—
1853C22⋊C4—114no—
1854C22⋊C4—114no—
1855C22⋊C4—114no—
1856C22⋊C4—114no—
1857C22⋊C4—114no—
1858C22⋊C4—114no—
1859C22⋊C4—114no—
1860C22⋊C4—114no—
1861C22⋊C4—114no—
1862C22⋊C4—114no—
1863C22⋊C4—114no—
1864C22⋊C4—114no—
1865C22⋊C4—114no—
1866C22⋊C4—114no—
1867C22⋊C4—114no—
1868C22⋊C4—114no—
1869C22⋊C4—114no—
1870C22⋊C4—114no—
1871C22⋊C4—114no—
1872C22⋊C4—114no—
1873C22⋊C4—114no—
1874C22⋊C4—114no—
1875C22⋊C4—114no—
1876C22⋊C4—114no—
1877C22⋊C4—114no—
1878C22⋊C4—114no—
1879C22⋊C4—114no—
1880C22⋊C4—114no—
1881C22⋊C4C23×D1114yes—
1882C22⋊C4C23×D1114yes—
1883C22⋊C4C23×D1114yes—
1884C22⋊C4C23×D1114yes—
1885C22⋊C4C23×D1114yes—
1886C22⋊C4C23×D1114yes—
1887C22⋊C4C23×D1114yes—
1888C22⋊C4C23×D1114yes—
1889C22⋊C4C23×D1114yes—
1890C22⋊C4C23×D1114yes—
1891C42—114no—
1892C42—114no—
1893C42—114no—
1894C42—114no—
1895C42—114no—
1896C42—114no—
1897C42C23×D1114yes—
1898C42C23×D1114yes—
1899C11C2×#354211yescharacteristic, complemented, Sylow
1900C23—22no—
1901C23—22no—
1902C23—22no—
1903C23—22no—
1904C23—22no—
1905C23—28no—
1906C23—22no—
1907C23—22no—
1908C23—22no—
1909C23—22no—
1910C23—22no—
1911C23—22no—
1912C23—22no—
1913C23—22no—
1914C23—22no—
1915C23—22no—
1916C23—22no—
1917C23—22no—
1918C23—22no—
1919C23—22no—
1920C23—22no—
1921C23—28no—
1922C23—44no—
1923C23—44no—
1924C23—44no—
1925C23—44no—
1926C23—416no—
1927C23—88no—
1928C23—112no—
1929C23—112no—
1930C23—112no—
1931C23—112no—
1932C23—222no—
1933C23—222no—
1934C23—222no—
1935C23—222no—
1936C23—222no—
1937C23—222no—
1938C23—222no—
1939C23—222no—
1940C23—222no—
1941C23—222no—
1942C23—222no—
1943C23—222no—
1944C23—228no—
1945C23—444no—
1946C23—444no—
1947C23—444no—
1948C23—444no—
1949C23—444no—
1950C23—444no—
1951C23—444no—
1952C23—444no—
1953C23—888no—
1954C23—888no—
1955C23—888no—
1956C23#6703714yes—
1957C23C24×D1112yes—
1958C23C24×D1112yes—
1959C23C24×D1112yes—
1960C23C24×D1112yes—
1961C23C24×D1112yes—
1962C23C24×D1112yes—
1963C23C24×D1112yes—
1964C23C24×D1111yescharacteristic
1965Q8—44no—
1966Q8—228no—
1967Q8—444no—
1968Q8—444no—
1969D4—28no—
1970D4—28no—
1971D4—44no—
1972D4—44no—
1973D4—44no—
1974D4—44no—
1975D4—44no—
1976D4—44no—
1977D4—44no—
1978D4—44no—
1979D4—44no—
1980D4—44no—
1981D4—44no—
1982D4—44no—
1983D4—44no—
1984D4—228no—
1985D4—228no—
1986D4—228no—
1987D4—228no—
1988D4—228no—
1989D4—444no—
1990D4—444no—
1991D4—444no—
1992D4—444no—
1993D4—444no—
1994D4—444no—
1995D4—444no—
1996D4—444no—
1997D4—444no—
1998D4—444no—
1999D4—444no—
2000D4—444no—
2001D4—444no—
2002D4—444no—
2003D4—444no—
2004D4—444no—
2005D4—444no—
2006D4—444no—
2007D4—444no—
2008D4—444no—
2009C2×C4—22no—
2010C2×C4—22no—
2011C2×C4—28no—
2012C2×C4—22no—
2013C2×C4—22no—
2014C2×C4—22no—
2015C2×C4—22no—
2016C2×C4—22no—
2017C2×C4—22no—
2018C2×C4—44no—
2019C2×C4—44no—
2020C2×C4—114no—
2021C2×C4—112no—
2022C2×C4—112no—
2023C2×C4—112no—
2024C2×C4—112no—
2025C2×C4—112no—
2026C2×C4—112no—
2027C2×C4—112no—
2028C2×C4—112no—
2029C2×C4—112no—
2030C2×C4—112no—
2031C2×C4—112no—
2032C2×C4—112no—
2033C2×C4—228no—
2034C2×C4—228no—
2035C2×C4—228no—
2036C2×C4—228no—
2037C2×C4—228no—
2038C2×C4—222no—
2039C2×C4—222no—
2040C2×C4—228no—
2041C2×C4—222no—
2042C2×C4—222no—
2043C2×C4—222no—
2044C2×C4—222no—
2045C2×C4—222no—
2046C2×C4—222no—
2047C2×C4—222no—
2048C2×C4—222no—
2049C2×C4—222no—
2050C2×C4—444no—
2051C2×C4—444no—
2052C2×C4—444no—
2053C2×C4—444no—
2054C2×C4—444no—
2055C2×C4—444no—
2056C2×C4—444no—
2057C2×C4—444no—
2058C2×C4—444no—
2059C2×C4—444no—
2060C2×C4—444no—
2061C2×C4—444no—
2062C2×C4—444no—
2063C2×C4C24×D1112yes—
2064C2×C4C24×D1112yes—
2065C2×C4C24×D1112yes—
2066C2×C4C24×D1112yes—
2067C2×C4C24×D1112yes—
2068C2×C4C24×D1112yes—
2069C2×C4C24×D1112yes—
2070C2×C4C24×D1112yes—
2071C22—22no—
2072C22—22no—
2073C22—28no—
2074C22—22no—
2075C22—22no—
2076C22—22no—
2077C22—22no—
2078C22—22no—
2079C22—22no—
2080C22—22no—
2081C22—22no—
2082C22—22no—
2083C22—22no—
2084C22—22no—
2085C22—22no—
2086C22—22no—
2087C22—22no—
2088C22—22no—
2089C22—22no—
2090C22—22no—
2091C22—22no—
2092C22—416no—
2093C22—44no—
2094C22—44no—
2095C22—44no—
2096C22—44no—
2097C22—44no—
2098C22—44no—
2099C22—88no—
2100C22—222no—
2101C22—222no—
2102C22—222no—
2103C22—222no—
2104C22—222no—
2105C22—222no—
2106C22—222no—
2107C22—222no—
2108C22—222no—
2109C22—222no—
2110C22—222no—
2111C22—222no—
2112C22—444no—
2113C22—444no—
2114C22—444no—
2115C22—444no—
2116C22—888no—
2117C22—888no—
2118C22—888no—
2119C22C2×#6703714yes—
2120C22C2×#6703712yes—
2121C22D11×H(5,𝔽2)12yes—
2122C22#1062345512yes—
2123C22C25×D1111yescharacteristic
2124C4—22no—
2125C4—22no—
2126C4—22no—
2127C4—22no—
2128C4—22no—
2129C4—22no—
2130C4—22no—
2131C4—22no—
2132C4—114no—
2133C4—222no—
2134C4—222no—
2135C4—222no—
2136C4—222no—
2137C4—222no—
2138C4—222no—
2139C4—222no—
2140C4—222no—
2141C4—222no—
2142C4—222no—
2143C4—222no—
2144C2—24no—
2145C2—42no—
2146C2—42no—
2147C2—42no—
2148C2—42no—
2149C2—42no—
2150C2—42no—
2151C2—442no—
2152C2—442no—
2153C2—442no—
2154C2—442no—
2155C2#1308291914yesdirect product factor
2156C2C2×D11×H(5,𝔽2)11yescharacteristic
2157C2C22×#6703711yescharacteristic
2158C2C2×#1062345511yescharacteristic
subgroupG/H
centerC23C24×D11
commutator, cosocleC22×C11C26
FrattiniC22C25×D11
FittingC2×C11×#535C2
socleC23×C11C25
hypercenterC2×#535D11
hypocenterC11C2×#3542
LCSG ▷ C22×C11 ▷ C11
UCSC1 ◁ C23 ◁ C2×#535

Complements

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

NH ≅ G/Ntype
1. #13082919C2direct (N × H)
2. C2×#10623152C2semidirect
3. C2×#10623215C2semidirect
4. C2×#10623151C2semidirect
5. C2×#10623251C2semidirect
6. C2×#10623201C2semidirect
7. C2×#10623132C2semidirect
8. C2×#10623062C2semidirect
9. C2×#10623118C2semidirect
10. C2×#10623058C2semidirect
11. C2×#10623249C2semidirect
12. C2×#10623355C2semidirect
13. C2×#10623141C2semidirect
14. C2×#10623360C2semidirect
15. C2×#10623122C2semidirect
16. C2×#10623122C2semidirect
17. C2×#10623121C2semidirect
18. C2×#10623200C2semidirect
19. C2×#10623250C2semidirect
20. C2×#10623146C2semidirect
21. C2×#10623146C2semidirect
22. C2×#10623148C2semidirect
23. C2×#10623209C2semidirect
24. C2×#10623128C2semidirect
25. C2×#10623123C2semidirect
26. C2×#10623246C2semidirect
27. C2×#10623120C2semidirect
28. C2×#10623335C2semidirect
29. C2×#10623117C2semidirect
30. C2×#10623117C2semidirect
31. C22×#66992C2semidirect
32. C2×C11×#535C2semidirect
33. C22×C11×#41C22semidirect
34. C23×D4×C11C22semidirect
37. C23×C22⋊D11C22semidirect
38. C24×Dic11C22semidirect
39. C22×#4341C22semidirect
40. C22×#4341C22semidirect
41. C22×#4341C22semidirect
42. C22×#4341C22semidirect
44. C22×D4×D11C22semidirect
45. C11×#535C22semidirect
46. C2×C11×#127C22semidirect
47. C2×C11×#127C22semidirect
48. C2×C11×#124C22semidirect
49. C2×C11×#124C22semidirect
50. C2×C11×#121C22semidirect
51. C2×C11×#121C22semidirect
52. C2×C11×#121C22semidirect
53. C2×C11×#121C22semidirect
55. C2×C11×#120C22semidirect
56. C2×C11×#120C22semidirect
57. C2×C11×#120C22semidirect
58. C2×C11×#117C22semidirect
60. C2×#67006C22semidirect
61. C22×C22⋊Dic11C22semidirect
62. C22×C22⋊Dic11C22semidirect
63. #10623360C22semidirect
64. #10623355C22semidirect
65. C2×#67000C22semidirect
66. C2×#66999C22semidirect
67. C2×#66999C22semidirect
68. C2×#66997C22semidirect
69. #10623335C22semidirect
70. C2×#66993C22semidirect
71. C2×#66993C22semidirect
72. C2×#66993C22semidirect
77. C2×#66992C22semidirect
78. C2×#66992C22semidirect
79. C2×#66992C22semidirect
80. C2×#66992C22semidirect
81. C2×#66992C22semidirect
82. C2×#66992C22semidirect
83. C2×#66992C22semidirect
84. C2×#66992C22semidirect
85. C2×#66992C22semidirect
86. C2×#66992C22semidirect
87. C2×#66992C22semidirect
88. C2×#66992C22semidirect
89. C2×#66992C22semidirect
90. C2×#66992C22semidirect
91. C2×#66992C22semidirect
92. C2×#66992C22semidirect
93. C2×#66992C22semidirect
94. C2×#66992C22semidirect
95. C2×#66992C22semidirect
96. C2×#66992C22semidirect
97. C2×#66992C22semidirect
98. C2×#66991C22semidirect
99. C2×#66991C22semidirect
100. C2×#66991C22semidirect
101. C2×#66991C22semidirect
102. C2×#66990C22semidirect
103. C2×#66990C22semidirect
104. C2×#66990C22semidirect
105. C2×#66990C22semidirect
106. C2×#66990C22semidirect
107. C2×#66990C22semidirect
108. C2×#66990C22semidirect
109. C2×#66990C22semidirect
110. C2×#66989C22semidirect
111. C2×#66988C22semidirect
112. C2×#66988C22semidirect
113. C2×#66988C22semidirect
114. C2×#66988C22semidirect
115. C2×#66988C22semidirect
116. C2×#66988C22semidirect
117. C2×#66988C22semidirect
118. C2×#66988C22semidirect
119. C2×D4×Dic11C22semidirect
120. C2×D4×Dic11C22semidirect
121. C2×D4×Dic11C22semidirect
122. C2×D4×Dic11C22semidirect
123. C2×D4×Dic11C22semidirect
124. C2×D4×Dic11C22semidirect
125. C2×#66983C22semidirect
127. C2×#66982C22semidirect
128. C2×#66982C22semidirect
129. C2×#66982C22semidirect
130. C2×C4×C22⋊D11C22semidirect
131. C2×C4×C22⋊D11C22semidirect
132. C22×(C2×D11)⋊C4C22semidirect
133. C22×(C2×D11)⋊C4C22semidirect
134. C2×#66977C22semidirect
135. C22×Dic11⋊C4C22semidirect
136. C22×Dic11⋊C4C22semidirect
137. #10623251C22semidirect
138. #10623250C22semidirect
139. #10623249C22semidirect
140. #10623246C22semidirect
141. #10623215C22semidirect
142. #10623209C22semidirect
143. #10623201C22semidirect
144. #10623200C22semidirect
145. #10623152C22semidirect
146. #10623151C22semidirect
147. #10623148C22semidirect
148. #10623146C22semidirect
149. #10623146C22semidirect
150. #10623141C22semidirect
151. #10623132C22semidirect
152. #10623128C22semidirect
153. #10623123C22semidirect
154. #10623122C22semidirect
155. #10623122C22semidirect
156. #10623121C22semidirect
157. #10623120C22semidirect
158. #10623118C22semidirect
159. #10623117C22semidirect
160. #10623117C22semidirect
161. #10623062C22semidirect
162. #10623058C22semidirect
163. C2×#66951C22semidirect
164. C2×#66951C22semidirect
165. C2×#66949C22semidirect
166. C2×#66949C22semidirect
167. C2×#66947C22semidirect
168. C2×#66947C22semidirect
169. C2×#66942C22semidirect
170. C2×#66942C22semidirect
172. C2×#66939C22semidirect
173. C2×#66939C22semidirect
174. C2×#66939C22semidirect
175. C2×#66938C22semidirect
176. C2×#66938C22semidirect
177. C2×#66938C22semidirect
178. C2×#66938C22semidirect
179. C2×#66937C22semidirect
180. C2×#66937C22semidirect
181. C2×#66937C22semidirect
182. C2×#66937C22semidirect
183. C2×#66937C22semidirect
184. C2×#66937C22semidirect
185. C2×#66936C22semidirect
186. C2×#66936C22semidirect
187. C2×#66936C22semidirect
188. C2×#66936C22semidirect
190. C2×#66935C22semidirect
192. C2×(C22⋊D11)⋊C4C22semidirect
193. C2×(C22⋊D11)⋊C4C22semidirect
194. C2×(C22⋊D11)⋊C4C22semidirect
195. C2×(C22⋊D11)⋊C4C22semidirect
196. C2×(C22⋊D11)⋊C4C22semidirect
197. C2×C22⋊C4×D11C22semidirect
198. C2×C22⋊C4×D11C22semidirect
199. C2×#66932C22semidirect
200. C2×#66932C22semidirect
201. C2×#66931C22semidirect
202. C2×#66931C22semidirect
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
225. C2×C11×#41C23semidirect
243. C22×D4×C11C23semidirect
274. C22×C22⋊D11C23semidirect
289. C23×Dic11C23semidirect
294. C2×#4341C23semidirect
295. C2×#4341C23semidirect
296. C2×#4341C23semidirect
297. C2×#4341C23semidirect
301. C2×D4×D11C23semidirect
314. C11×#127C23semidirect
315. C11×#127C23semidirect
316. C11×#124C23semidirect
317. C11×#124C23semidirect
318. C11×#121C23semidirect
319. C11×#121C23semidirect
320. C11×#121C23semidirect
321. C11×#121C23semidirect
323. C11×#120C23semidirect
324. C11×#120C23semidirect
325. C11×#120C23semidirect
326. C11×#117C23semidirect
342. #67006C23semidirect
361. C2×C22⋊Dic11C23semidirect
362. C2×C22⋊Dic11C23semidirect
363. #67000C23semidirect
364. #66999C23semidirect
365. #66999C23semidirect
366. #66997C23semidirect
367. #66993C23semidirect
368. #66993C23semidirect
369. #66993C23semidirect
374. #66992C23semidirect
375. #66992C23semidirect
376. #66992C23semidirect
377. #66992C23semidirect
378. #66992C23semidirect
379. #66992C23semidirect
380. #66992C23semidirect
381. #66992C23semidirect
382. #66992C23semidirect
383. #66992C23semidirect
384. #66992C23semidirect
385. #66992C23semidirect
386. #66992C23semidirect
387. #66992C23semidirect
388. #66992C23semidirect
389. #66992C23semidirect
390. #66992C23semidirect
391. #66992C23semidirect
392. #66992C23semidirect
393. #66992C23semidirect
394. #66991C23semidirect
395. #66991C23semidirect
396. #66991C23semidirect
397. #66991C23semidirect
398. #66990C23semidirect
399. #66990C23semidirect
400. #66990C23semidirect
401. #66990C23semidirect
402. #66990C23semidirect
403. #66990C23semidirect
404. #66990C23semidirect
405. #66990C23semidirect
406. #66989C23semidirect
407. #66988C23semidirect
408. #66988C23semidirect
409. #66988C23semidirect
410. #66988C23semidirect
411. #66988C23semidirect
412. #66988C23semidirect
413. #66988C23semidirect
414. #66988C23semidirect
415. D4×Dic11C23semidirect
416. D4×Dic11C23semidirect
417. D4×Dic11C23semidirect
418. D4×Dic11C23semidirect
419. D4×Dic11C23semidirect
420. D4×Dic11C23semidirect
421. #66983C23semidirect
423. #66982C23semidirect
424. #66982C23semidirect
425. #66982C23semidirect
426. C4×C22⋊D11C23semidirect
427. C4×C22⋊D11C23semidirect
448. C2×(C2×D11)⋊C4C23semidirect
449. C2×(C2×D11)⋊C4C23semidirect
456. #66977C23semidirect
477. C2×Dic11⋊C4C23semidirect
478. C2×Dic11⋊C4C23semidirect
485. #66951C23semidirect
486. #66951C23semidirect
487. #66949C23semidirect
488. #66949C23semidirect
489. #66947C23semidirect
490. #66947C23semidirect
491. #66942C23semidirect
492. #66942C23semidirect
494. #66939C23semidirect
495. #66939C23semidirect
496. #66939C23semidirect
497. #66938C23semidirect
498. #66938C23semidirect
499. #66938C23semidirect
500. #66938C23semidirect
501. #66937C23semidirect
502. #66937C23semidirect
503. #66937C23semidirect
504. #66937C23semidirect
505. #66937C23semidirect
506. #66937C23semidirect
507. #66936C23semidirect
508. #66936C23semidirect
509. #66936C23semidirect
510. #66936C23semidirect
512. #66935C23semidirect
514. (C22⋊D11)⋊C4C23semidirect
515. (C22⋊D11)⋊C4C23semidirect
516. (C22⋊D11)⋊C4C23semidirect
517. (C22⋊D11)⋊C4C23semidirect
518. (C22⋊D11)⋊C4C23semidirect
519. C22⋊C4×D11C23semidirect
520. C22⋊C4×D11C23semidirect
521. #66932C23semidirect
522. #66932C23semidirect
523. #66931C23semidirect
524. #66931C23semidirect
525. #66931C23semidirect
526. #66931C23semidirect
527. #66931C23semidirect
528. #66931C23semidirect
529. #66930C23semidirect
530. #66930C23semidirect
531. #66930C23semidirect
532. #66930C23semidirect
533. #66929C23semidirect
534. #66929C23semidirect
535. #66928C23semidirect
536. C4×D44C23semidirect
537. #66925C23semidirect
538. #66925C23semidirect
539. #66923C23semidirect
540. C4×Dic22C23semidirect
847. C2×#535D11semidirect
1028. C22×#41C2×D11semidirect
1034. C23×D4C2×D11semidirect
1061. #535C2×D11semidirect
1068. C2×#127C2×D11semidirect
1069. C2×#127C2×D11semidirect
1086. C2×#124C2×D11semidirect
1087. C2×#124C2×D11semidirect
1159. C2×#121C2×D11semidirect
1160. C2×#121C2×D11semidirect
1161. C2×#121C2×D11semidirect
1162. C2×#121C2×D11semidirect
1176. C2×#120C2×D11semidirect
1177. C2×#120C2×D11semidirect
1178. C2×#120C2×D11semidirect
1201. C2×#117C2×D11semidirect
1297. C2×#41C22×D11semidirect
1353. C22×D4C22×D11semidirect
1382. #127C22×D11semidirect
1383. #127C22×D11semidirect
1400. #124C22×D11semidirect
1401. #124C22×D11semidirect
1470. #121C22×D11semidirect
1471. #121C22×D11semidirect
1472. #121C22×D11semidirect
1473. #121C22×D11semidirect
1487. #120C22×D11semidirect
1488. #120C22×D11semidirect
1489. #120C22×D11semidirect
1512. #117C22×D11semidirect
1612. C2×C11#3542semidirect
1899. C11C2×#3542semidirect
2155. C2#13082919direct (N × H)

Maximal subgroups

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

subgroupindex
#130829192
C2×#106231522
C2×#106232152
C2×#106231512
C2×#106232512
C2×#106232012
C2×#106231322
C2×#106230622
C2×#106231182
C2×#106230582
C2×#106232492
C2×#106233552
C2×#106231412
C2×#106233602
C2×#106231222
C2×#106231212
C2×#106232002
C2×#106232502
C2×#106231462
C2×#106231482
C2×#106232092
C2×#106231282
C2×#106231232
C2×#106232462
C2×#106231202
C2×#106233352
C2×#106231172
C22×#669922
C2×C11×#5352
C2×#354211