Finite Group Databasebeta

← C2×#13082566 #15661858

Subgroups — C2×#13082566 #15661858

Order 2816.

8006 conjugacy classes of subgroups.

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

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#13082566C2132yesmaximal, direct product factor
2C2×#10623195C211yesmaximal, characteristic, complemented
3C2×#10623233C211yesmaximal, characteristic, complemented
4C2×#10623063C211yesmaximal, characteristic, complemented
5C2×#10623201C211yesmaximal, characteristic, complemented
6C2×#10623087C211yesmaximal, characteristic, complemented
7C2×#10623236C211yesmaximal, characteristic, complemented
8C2×#10623058C211yesmaximal, characteristic, complemented
9C2×#10623163C211yesmaximal, characteristic, complemented
10C2×#10623164C211yesmaximal, characteristic, complemented
11C2×#10623083C211yesmaximal, characteristic, complemented
12C2×#10623185C211yesmaximal, characteristic, complemented
13C2×#10623185C211yesmaximal, characteristic, complemented
14C2×#10623021C211yesmaximal, characteristic, complemented
15C2×#10623021C211yesmaximal, characteristic, complemented
16C2×#10623121C211yesmaximal, characteristic, complemented
17C2×#10623171C211yesmaximal, characteristic, complemented
18C2×#10623193C211yesmaximal, characteristic, complemented
19C2×#10623175C211yesmaximal, characteristic, complemented
20C2×#10623235C211yesmaximal, characteristic, complemented
21C2×#10623188C211yesmaximal, characteristic, complemented
22C2×#10623124C211yesmaximal, characteristic, complemented
23C2×#10623079C211yesmaximal, characteristic, complemented
24C2×#10623237C211yesmaximal, characteristic, complemented
25C2×#10623059C211yesmaximal, characteristic, complemented
26C2×#10623180C211yesmaximal, characteristic, complemented
27C22×#66938C211yesmaximal, characteristic, complemented
28C2×D11×#124C211yesmaximal, characteristic, complemented
29C2×#10623017C211yesmaximal, characteristic, complemented
30C2×#10623076C211yesmaximal, characteristic, complemented
31C2×#10623053C211yesmaximal, characteristic, complemented
32C2×C11×#551C211yesmaximal, characteristic, complemented
33C23×C22⋊D11C2211yescharacteristic
34C23×C22⋊D11C2211yescharacteristic
35C22×Q8×D11C2211yescharacteristic, complemented
36C22×D4×D11C2211yescharacteristic
37C22×D4×D11C2211yescharacteristic
38C22×#4339C2211yescharacteristic
39C22×#4339C2211yescharacteristic, complemented
40C22×#4339C2211yescharacteristic, complemented
41C23×Dic22C2211yescharacteristic, complemented
42C11×#551C22116yescomplemented
43C2×C11×#126C2211yescharacteristic, complemented
44C2×C11×#126C2211yescharacteristic, complemented
45C2×C11×#124C2211yescharacteristic, complemented
46C2×C11×#123C2211yescharacteristic, complemented
47C2×C11×#123C2211yescharacteristic, complemented
48C2×C11×#123C2211yescharacteristic, complemented
49C2×C11×C22⋊Q8C2211yescharacteristic, complemented
50C2×C11×C22⋊Q8C2211yescharacteristic, complemented
51C2×C11×#120C2211yescharacteristic
52C2×C4×D4×C11C2211yescharacteristic, complemented
53C2×C4×D4×C11C2211yescharacteristic, complemented
54C2×C11×#117C2211yescharacteristic, complemented
55C2×C11×#117C2211yescharacteristic, complemented
56C22×C11×C22⋊C4C2211yescharacteristic, complemented
57C22×C11×C22⋊C4C2211yescharacteristic, complemented
58C2×#67006C2211yescharacteristic, complemented
59C22×C22⋊Dic11C2211yescharacteristic, complemented
60C2×#67000C2211yescharacteristic, complemented
61C2×#67000C2211yescharacteristic, complemented
62C2×#66997C2211yescharacteristic, complemented
63C2×#66993C2211yescharacteristic
64C2×#66992C2211yescharacteristic
65C2×#66992C2211yescharacteristic
66C2×#66992C2211yescharacteristic, complemented
67C2×#66992C2211yescharacteristic, complemented
68C2×#66991C2211yescharacteristic, complemented
69C2×#66990C2211yescharacteristic
70C2×#66989C2211yescharacteristic, complemented
71C2×#66988C2211yescharacteristic, complemented
72C2×D4×Dic11C2211yescharacteristic, complemented
73C2×#66983C2211yescharacteristic, complemented
74C2×#66983C2211yescharacteristic, complemented
75C2×#66982C2211yescharacteristic, complemented
76C2×#66982C2211yescharacteristic, complemented
77C2×C4×C22⋊D11C2211yescharacteristic
78C2×C4×C22⋊D11C2211yescharacteristic, complemented
79C2×C4×C22⋊D11C2211yescharacteristic, complemented
80C2×C4×C22⋊D11C2211yescharacteristic, complemented
81C2×C4×C22⋊D11C2211yescharacteristic, complemented
82C2×C4×C22⋊D11C2211yescharacteristic, complemented
83C2×C4×C22⋊D11C2211yescharacteristic, complemented
84C22×(C2×D11)⋊C4C2211yescharacteristic, complemented
85C22×(C2×D11)⋊C4C2211yescharacteristic, complemented
86C22×(C2×D11)⋊C4C2211yescharacteristic, complemented
87C2×#66977C2211yescharacteristic, complemented
88C22×C4×Dic11C2211yescharacteristic, complemented
89#10623237C22116yescomplemented
90#10623236C22116yescomplemented
91#10623235C22116yescomplemented
92#10623233C22116yescomplemented
93D11×#124C22116yescomplemented
94#10623201C22116yescomplemented
95#10623195C22116yescomplemented
96#10623193C22116yescomplemented
97#10623188C22116yescomplemented
98#10623185C22116yescomplemented
99#10623185C22116yescomplemented
100#10623180C22116yescomplemented
101#10623175C22116yescomplemented
102#10623171C22116yescomplemented
103#10623164C22116yescomplemented
104#10623163C22116yescomplemented
105#10623124C22116yescomplemented
106#10623121C22116yescomplemented
107#10623087C22116yescomplemented
108#10623083C22116yescomplemented
109#10623079C22116yescomplemented
110#10623076C22116yescomplemented
111#10623063C22116yescomplemented
112#10623059C22116yescomplemented
113#10623058C22116yescomplemented
114#10623053C22116yescomplemented
115C2×#66951C2211yescharacteristic, complemented
116C2×#66951C2211yescharacteristic, complemented
117C2×#66951C2211yescharacteristic, complemented
118C2×#66951C2211yescharacteristic, complemented
119C2×#66950C2211yescharacteristic, complemented
120C2×#66949C2211yescharacteristic, complemented
121C2×#66949C2211yescharacteristic, complemented
122C2×#66949C2211yescharacteristic, complemented
123C2×#66949C2211yescharacteristic, complemented
124C2×#66949C2211yescharacteristic, complemented
125C2×#66949C2211yescharacteristic, complemented
126C2×#66948C2211yescharacteristic, complemented
127C2×#66948C2211yescharacteristic, complemented
128C2×#66948C2211yescharacteristic, complemented
129C2×#66947C2211yescharacteristic, complemented
130C2×#66947C2211yescharacteristic, complemented
131C2×#66947C2211yescharacteristic, complemented
132C2×#66947C2211yescharacteristic, complemented
133C2×#66947C2211yescharacteristic, complemented
134C2×#66946C2211yescharacteristic, complemented
135C2×#66946C2211yescharacteristic, complemented
136C2×#66946C2211yescharacteristic, complemented
137C2×#66946C2211yescharacteristic, complemented
138C2×#66945C2211yescharacteristic, complemented
139C2×#66945C2211yescharacteristic, complemented
140C2×#66942C2211yescharacteristic, complemented
141C2×#66941C2211yescharacteristic, complemented
142C2×#66941C2211yescharacteristic, complemented
143C2×#66940C2211yescharacteristic, complemented
144C2×#66940C2211yescharacteristic, complemented
145C2×#66940C2211yescharacteristic, complemented
146C2×#66940C2211yescharacteristic, complemented
147C2×#66938C2211yescharacteristic
148C2×#66938C2211yescharacteristic
149C2×#66938C2211yescharacteristic
150C2×#66938C22116yescomplemented
151C2×#66938C2211yescharacteristic, complemented
152C2×#66938C2211yescharacteristic, complemented
153C2×#66938C2211yescharacteristic, complemented
154C2×#66938C2211yescharacteristic, complemented
155C2×#66938C2211yescharacteristic, complemented
156C2×#66938C2211yescharacteristic, complemented
157C2×#66938C2211yescharacteristic, complemented
158C2×#66938C2211yescharacteristic, complemented
159C2×#66938C2211yescharacteristic, complemented
160C2×#66938C2211yescharacteristic, complemented
161C2×#66938C2211yescharacteristic, complemented
162C2×#66938C2211yescharacteristic, complemented
163#10623021C22116yescomplemented
164#10623021C22116yescomplemented
165C2×#66937C2211yescharacteristic
166C2×#66937C2211yescharacteristic
167C2×#66937C2211yescharacteristic
168C2×#66937C2211yescharacteristic, complemented
169C2×#66937C2211yescharacteristic, complemented
170C2×#66937C2211yescharacteristic, complemented
171C2×#66937C2211yescharacteristic, complemented
172C2×#66936C2211yescharacteristic, complemented
173C2×#66936C2211yescharacteristic, complemented
174C2×#66936C2211yescharacteristic, complemented
175C2×#66935C2211yescharacteristic
176C2×#66935C2211yescharacteristic
177C2×#66935C2211yescharacteristic, complemented
178C2×#66935C2211yescharacteristic, complemented
179C2×#66935C2211yescharacteristic, complemented
180#10623017C22116yescomplemented
181C2×(C22⋊D11)⋊C4C2211yescharacteristic
182C2×(C22⋊D11)⋊C4C2211yescharacteristic
183C2×(C22⋊D11)⋊C4C2211yescharacteristic
184C2×(C22⋊D11)⋊C4C2211yescharacteristic
185C2×(C22⋊D11)⋊C4C2211yescharacteristic, complemented
186C2×(C22⋊D11)⋊C4C2211yescharacteristic, complemented
187C2×(C22⋊D11)⋊C4C2211yescharacteristic, complemented
188C2×(C22⋊D11)⋊C4C2211yescharacteristic, complemented
189C2×(C22⋊D11)⋊C4C2211yescharacteristic, complemented
190C2×(C22⋊D11)⋊C4C2211yescharacteristic, complemented
191C2×(C22⋊D11)⋊C4C2211yescharacteristic, complemented
192C2×C22⋊C4×D11C2211yescharacteristic, complemented
193C2×C22⋊C4×D11C2211yescharacteristic, complemented
194C2×C22⋊C4×D11C2211yescharacteristic, complemented
195C2×C22⋊C4×D11C2211yescharacteristic, complemented
196C2×C22⋊C4×D11C2211yescharacteristic, complemented
197C2×C22⋊C4×D11C2211yescharacteristic, complemented
198C2×#66932C2211yescharacteristic, complemented
199C2×#66932C2211yescharacteristic, complemented
200C2×#66932C2211yescharacteristic, complemented
201C2×#66931C2211yescharacteristic, complemented
202C2×#66931C2211yescharacteristic, complemented
203C2×#66931C2211yescharacteristic, complemented
204C2×#66930C2211yescharacteristic, complemented
205C2×#66930C2211yescharacteristic, complemented
206C2×#66930C2211yescharacteristic, complemented
207C2×#66929C2211yescharacteristic, complemented
208C2×#66928C2211yescharacteristic, complemented
209C2×#66928C2211yescharacteristic, complemented
210C2×C4×D44C2211yescharacteristic, complemented
211C2×C4×D44C2211yescharacteristic, complemented
212C2×#66925C2211yescharacteristic, complemented
213C2×#66925C2211yescharacteristic, complemented
214C2×#66925C2211yescharacteristic, complemented
215C2×#66925C2211yescharacteristic, complemented
216C2×C42×D11C2211yescharacteristic, complemented
217C2×C42×D11C2211yescharacteristic, complemented
218C2×C4×Dic22C2211yescharacteristic, complemented
219C25×C11C2311yescharacteristic
220C24×D11C2311yescharacteristic
221C24×D11C2311yescharacteristic
222C24×D11C2311yescharacteristic
223C22×Q8×C11C2311yescharacteristic
224C22×D4×C11C2311yescharacteristic
225C22×D4×C11C2311yescharacteristic
226C22×D4×C11C2311yescharacteristic
227C23×C4×C11C2311yescharacteristic
228C23×C4×C11C2311yescharacteristic
229C23×C4×C11C2311yescharacteristic
230C23×C4×C11C2311yescharacteristic
231C23×C4×C11C2311yescharacteristic
232C22×C22⋊D11—28no—
233C22×C22⋊D11—44no—
234C22×C22⋊D11C2311yescharacteristic
235C22×C22⋊D11C2311yescharacteristic
236C22×C22⋊D11C2311yescharacteristic
237C22×C22⋊D11C2311yescharacteristic
238C22×C22⋊D11C2311yescharacteristic
239C22×C22⋊D11C2318yes—
240C22×C22⋊D11C2311yescharacteristic
241C22×C22⋊D11C2311yescharacteristic
242C22×C22⋊D11C2311yescharacteristic
243C22×C22⋊D11C2311yescharacteristic
244C22×C22⋊D11C2311yescharacteristic
245C22×C22⋊D11C2311yescharacteristic
246C22×C22⋊D11C2311yescharacteristic
247C22×C22⋊D11C2311yescharacteristic
248C22×C22⋊D11C2318yes—
249C22×C22⋊D11C2311yescharacteristic
250C23×Dic11C2311yescharacteristic
251C23×Dic11C2311yescharacteristic
252C23×Dic11C2311yescharacteristic
253C23×Dic11C2311yescharacteristic
254C23×Dic11C2311yescharacteristic
255C2×Q8×D11—44no—
256C2×Q8×D11C2318yescomplemented
257C2×D4×D11—28no—
258C2×D4×D11—44no—
259C2×D4×D11C2318yes—
260C2×D4×D11C2318yes—
261C2×#4339—28no—
262C2×#4339—44no—
263C2×#4339—44no—
264C2×#4339C2318yes—
265C2×#4339C2318yescomplemented
266C2×#4339C2318yescomplemented
267C22×D44C2311yescharacteristic
268C22×D44C2311yescharacteristic
269C22×D44C2311yescharacteristic
270C22×D44C2311yescharacteristic
271C22×D44C2311yescharacteristic
272C22×D44C2311yescharacteristic
273C22×D44C2311yescharacteristic
274C22×C4×D11C2311yescharacteristic
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×D11C2311yescharacteristic
285C22×C4×D11C2311yescharacteristic
286C22×C4×D11C2311yescharacteristic
287C22×Dic22—44no—
288C22×Dic22C2311yescharacteristic
289C22×Dic22C2311yescharacteristic
290C22×Dic22C2311yescharacteristic
291C22×Dic22C2311yescharacteristic
292C22×Dic22C2311yescharacteristic
293C22×Dic22C2311yescharacteristic
294C22×Dic22C2311yescharacteristic
295C22×Dic22C2318yescomplemented
296C11×#126C2318yescomplemented
297C11×#126C2318yescomplemented
298C11×#124C2318yescomplemented
299C11×#123C2318yescomplemented
300C11×#123C2318yescomplemented
301C11×#123C2318yescomplemented
302C11×C22⋊Q8C2318yescomplemented
303C11×C22⋊Q8C2318yescomplemented
304C11×#120C2318yes—
305C4×D4×C11C2318yescomplemented
306C4×D4×C11C2318yescomplemented
307C11×#117C2318yescomplemented
308C11×#117C2318yescomplemented
309C2×C11×C4⋊C4C2311yescharacteristic
310C2×C11×C4⋊C4C2311yescharacteristic
311C2×C11×C4⋊C4C2311yescharacteristic
312C2×C11×C4⋊C4C2311yescharacteristic
313C2×C11×C4⋊C4C2311yescharacteristic
314C2×C11×C4⋊C4C2311yescharacteristic
315C2×C11×C4⋊C4C2311yescharacteristic
316C2×C11×C4⋊C4C2311yescharacteristic
317C2×C11×C22⋊C4C2311yescharacteristic
318C2×C11×C22⋊C4C2311yescharacteristic
319C2×C11×C22⋊C4C2311yescharacteristic
320C2×C11×C22⋊C4C2311yescharacteristic
321C2×C11×C22⋊C4C2311yescharacteristic
322C2×C11×C22⋊C4C2311yescharacteristic
323C2×C11×C22⋊C4C2311yescharacteristic
324C2×C11×C22⋊C4C2311yescharacteristic
325C2×C11×C22⋊C4C2311yescharacteristic
326C2×C11×C22⋊C4C2311yescharacteristic
327C2×C11×C22⋊C4C2311yescharacteristic
328C2×C11×C22⋊C4C2311yescharacteristic
329C2×C11×C22⋊C4C2311yescharacteristic
330C2×C11×C22⋊C4C2311yescharacteristic
331C2×C11×C22⋊C4C2318yescomplemented
332C2×C11×C22⋊C4C2318yescomplemented
333C2×C42×C11C2311yescharacteristic
334C2×C42×C11C2311yescharacteristic
335C2×C42×C11C2311yescharacteristic
336#67006C2318yescomplemented
337C2×C22⋊Dic11C2311yescharacteristic
338C2×C22⋊Dic11C2311yescharacteristic
339C2×C22⋊Dic11C2311yescharacteristic
340C2×C22⋊Dic11C2311yescharacteristic
341C2×C22⋊Dic11C2311yescharacteristic
342C2×C22⋊Dic11C2311yescharacteristic
343C2×C22⋊Dic11C2311yescharacteristic
344C2×C22⋊Dic11C2311yescharacteristic
345C2×C22⋊Dic11C2311yescharacteristic
346C2×C22⋊Dic11C2311yescharacteristic
347C2×C22⋊Dic11C2318yescomplemented
348#67000C2318yescomplemented
349#67000C2318yescomplemented
350#66997C2318yescomplemented
351#66993C2318yes—
352#66992C2318yes—
353#66992C2318yes—
354#66992C2318yescomplemented
355#66992C2318yescomplemented
356#66991C2318yescomplemented
357#66990C2318yes—
358#66989C2318yescomplemented
359#66988C2318yescomplemented
360D4×Dic11C2318yescomplemented
361#66983C2318yescomplemented
362#66983C2318yescomplemented
363#66982C2318yescomplemented
364#66982C2318yescomplemented
365C4×C22⋊D11C2318yes—
366C4×C22⋊D11C2318yescomplemented
367C4×C22⋊D11C2318yescomplemented
368C4×C22⋊D11C2318yescomplemented
369C4×C22⋊D11C2318yescomplemented
370C4×C22⋊D11C2318yescomplemented
371C4×C22⋊D11C2318yescomplemented
372C2×(C2×D11)⋊C4C2311yescharacteristic
373C2×(C2×D11)⋊C4C2311yescharacteristic
374C2×(C2×D11)⋊C4C2311yescharacteristic
375C2×(C2×D11)⋊C4C2311yescharacteristic
376C2×(C2×D11)⋊C4C2311yescharacteristic
377C2×(C2×D11)⋊C4C2311yescharacteristic
378C2×(C2×D11)⋊C4C2311yescharacteristic
379C2×(C2×D11)⋊C4C2311yescharacteristic
380C2×(C2×D11)⋊C4C2311yescharacteristic
381C2×(C2×D11)⋊C4C2311yescharacteristic
382C2×(C2×D11)⋊C4C2311yescharacteristic
383C2×(C2×D11)⋊C4C2311yescharacteristic
384C2×(C2×D11)⋊C4C2311yescharacteristic
385C2×(C2×D11)⋊C4C2311yescharacteristic
386C2×(C2×D11)⋊C4C2311yescharacteristic
387C2×(C2×D11)⋊C4C2311yescharacteristic
388C2×(C2×D11)⋊C4C2311yescharacteristic
389C2×(C2×D11)⋊C4C2311yescharacteristic
390C2×(C2×D11)⋊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)⋊C4C2318yescomplemented
401C2×(C2×D11)⋊C4C2318yescomplemented
402C2×(C2×D11)⋊C4C2318yescomplemented
403C2×C4⋊Dic11C2311yescharacteristic
404C2×C4⋊Dic11C2311yescharacteristic
405C2×C4⋊Dic11C2311yescharacteristic
406C2×C4⋊Dic11C2311yescharacteristic
407#66977C2318yescomplemented
408C2×Dic11⋊C4C2311yescharacteristic
409C2×Dic11⋊C4C2311yescharacteristic
410C2×Dic11⋊C4C2311yescharacteristic
411C2×Dic11⋊C4C2311yescharacteristic
412C2×Dic11⋊C4C2311yescharacteristic
413C2×Dic11⋊C4C2311yescharacteristic
414C2×Dic11⋊C4C2311yescharacteristic
415C2×Dic11⋊C4C2311yescharacteristic
416C2×Dic11⋊C4C2311yescharacteristic
417C2×Dic11⋊C4C2311yescharacteristic
418C2×Dic11⋊C4C2311yescharacteristic
419C2×Dic11⋊C4C2311yescharacteristic
420C2×Dic11⋊C4C2311yescharacteristic
421C2×Dic11⋊C4C2311yescharacteristic
422C2×Dic11⋊C4C2311yescharacteristic
423C2×Dic11⋊C4C2311yescharacteristic
424C2×C4×Dic11C2311yescharacteristic
425C2×C4×Dic11C2311yescharacteristic
426C2×C4×Dic11C2311yescharacteristic
427C2×C4×Dic11C2311yescharacteristic
428C2×C4×Dic11C2311yescharacteristic
429C2×C4×Dic11C2311yescharacteristic
430C2×C4×Dic11C2311yescharacteristic
431C2×C4×Dic11C2311yescharacteristic
432C2×C4×Dic11C2311yescharacteristic
433C2×C4×Dic11C2311yescharacteristic
434C2×C4×Dic11C2311yescharacteristic
435C2×C4×Dic11C2311yescharacteristic
436C2×C4×Dic11C2311yescharacteristic
437C2×C4×Dic11C2318yescomplemented
438#66951C2318yescomplemented
439#66951C2318yescomplemented
440#66951C2318yescomplemented
441#66951C2318yescomplemented
442#66950C2318yescomplemented
443#66949C2318yescomplemented
444#66949C2318yescomplemented
445#66949C2318yescomplemented
446#66949C2318yescomplemented
447#66949C2318yescomplemented
448#66949C2318yescomplemented
449#66948C2318yescomplemented
450#66948C2318yescomplemented
451#66948C2318yescomplemented
452#66947C2318yescomplemented
453#66947C2318yescomplemented
454#66947C2318yescomplemented
455#66947C2318yescomplemented
456#66947C2318yescomplemented
457#66946C2318yescomplemented
458#66946C2318yescomplemented
459#66946C2318yescomplemented
460#66946C2318yescomplemented
461#66945C2318yescomplemented
462#66945C2318yescomplemented
463#66942C2318yescomplemented
464#66941C2318yescomplemented
465#66941C2318yescomplemented
466#66940C2318yescomplemented
467#66940C2318yescomplemented
468#66940C2318yescomplemented
469#66940C2318yescomplemented
470#66938C2318yes—
471#66938C2318yes—
472#66938C2318yes—
473#66938C2318yescomplemented
474#66938C2318yescomplemented
475#66938C2318yescomplemented
476#66938C2318yescomplemented
477#66938C2318yescomplemented
478#66938C2318yescomplemented
479#66938C2318yescomplemented
480#66938C2318yescomplemented
481#66938C2318yescomplemented
482#66938C2318yescomplemented
483#66938C2318yescomplemented
484#66938C2318yescomplemented
485#66937C2318yes—
486#66937C2318yes—
487#66937C2318yes—
488#66937C2318yescomplemented
489#66937C2318yescomplemented
490#66937C2318yescomplemented
491#66937C2318yescomplemented
492#66936C2318yescomplemented
493#66936C2318yescomplemented
494#66936C2318yescomplemented
495#66935C2318yes—
496#66935C2318yes—
497#66935C2318yescomplemented
498#66935C2318yescomplemented
499#66935C2318yescomplemented
500(C22⋊D11)⋊C4C2318yes—
501(C22⋊D11)⋊C4C2318yes—
502(C22⋊D11)⋊C4C2318yes—
503(C22⋊D11)⋊C4C2318yes—
504(C22⋊D11)⋊C4C2318yescomplemented
505(C22⋊D11)⋊C4C2318yescomplemented
506(C22⋊D11)⋊C4C2318yescomplemented
507(C22⋊D11)⋊C4C2318yescomplemented
508(C22⋊D11)⋊C4C2318yescomplemented
509(C22⋊D11)⋊C4C2318yescomplemented
510(C22⋊D11)⋊C4C2318yescomplemented
511C22⋊C4×D11C2318yescomplemented
512C22⋊C4×D11C2318yescomplemented
513C22⋊C4×D11C2318yescomplemented
514C22⋊C4×D11C2318yescomplemented
515C22⋊C4×D11C2318yescomplemented
516C22⋊C4×D11C2318yescomplemented
517#66932C2318yescomplemented
518#66932C2318yescomplemented
519#66932C2318yescomplemented
520#66931C2318yescomplemented
521#66931C2318yescomplemented
522#66931C2318yescomplemented
523#66930C2318yescomplemented
524#66930C2318yescomplemented
525#66930C2318yescomplemented
526#66929C2318yescomplemented
527#66928C2318yescomplemented
528#66928C2318yescomplemented
529C4×D44C2318yescomplemented
530C4×D44C2318yescomplemented
531#66925C2318yescomplemented
532#66925C2318yescomplemented
533#66925C2318yescomplemented
534#66925C2318yescomplemented
535C42×D11C2318yescomplemented
536C42×D11C2318yescomplemented
537C4×Dic22C2318yescomplemented
538C2×#3514—111nomaximal, Sylow
539C24×C11—24no—
540C24×C11—42no—
541C24×C11—42no—
542C24×C11C2411yescharacteristic
543C24×C11C2411yescharacteristic
544C24×C11C2411yescharacteristic
545C24×C11C2411yescharacteristic
546C24×C11C2414yes—
547C23×D11—24no—
548C23×D11—24no—
549C23×D11—24no—
550C23×D11—42no—
551C23×D11—42no—
552C23×D11—42no—
553C23×D11—42no—
554C23×D11—42no—
555C23×D11—42no—
556C23×D11C2411yescharacteristic
557C23×D11C2411yescharacteristic
558C23×D11C2411yescharacteristic
559C23×D11C2411yescharacteristic
560C23×D11C2411yescharacteristic
561C23×D11C2414yes—
562C23×D11C2414yes—
563C23×D11C2414yes—
564C2×Q8×C11—42no—
565C2×Q8×C11C2414yes—
566C2×D4×C11—24no—
567C2×D4×C11—42no—
568C2×D4×C11—42no—
569C2×D4×C11C2414yes—
570C2×D4×C11C2414yes—
571C2×D4×C11C2414yes—
572C22×C4×C11—24no—
573C22×C4×C11—42no—
574C22×C4×C11—42no—
575C22×C4×C11—42no—
576C22×C4×C11—42no—
577C22×C4×C11C2411yescharacteristic
578C22×C4×C11C2411yescharacteristic
579C22×C4×C11C2411yescharacteristic
580C22×C4×C11C2411yescharacteristic
581C22×C4×C11C2411yescharacteristic
582C22×C4×C11C2411yescharacteristic
583C22×C4×C11C2411yescharacteristic
584C22×C4×C11C2411yescharacteristic
585C22×C4×C11C2411yescharacteristic
586C22×C4×C11C2411yescharacteristic
587C22×C4×C11C2414yes—
588C22×C4×C11C2411yescharacteristic
589C22×C4×C11C2414yes—
590C22×C4×C11C2414yes—
591C22×C4×C11C2414yes—
592C22×C4×C11C2414yes—
593C2×C22⋊D11—232no—
594C2×C22⋊D11—24no—
595C2×C22⋊D11—24no—
596C2×C22⋊D11—24no—
597C2×C22⋊D11—24no—
598C2×C22⋊D11—24no—
599C2×C22⋊D11—24no—
600C2×C22⋊D11—24no—
601C2×C22⋊D11—24no—
602C2×C22⋊D11—42no—
603C2×C22⋊D11—42no—
604C2×C22⋊D11—42no—
605C2×C22⋊D11—42no—
606C2×C22⋊D11—42no—
607C2×C22⋊D11—416no—
608C2×C22⋊D11#4118yescomplemented
609C2×C22⋊D11C2414yes—
610C2×C22⋊D11C2414yes—
611C2×C22⋊D11C2414yes—
612C2×C22⋊D11C2414yes—
613C2×C22⋊D11C2414yes—
614C2×C22⋊D11C2414yes—
615C2×C22⋊D11C2414yes—
616C2×C22⋊D11C2414yes—
617C2×C22⋊D11C2414yes—
618C2×C22⋊D11C2414yes—
619C2×C22⋊D11C2414yes—
620C2×C22⋊D11C2414yes—
621C2×C22⋊D11C2414yes—
622C2×C22⋊D11C2414yes—
623C22×Dic11—24no—
624C22×Dic11—24no—
625C22×Dic11—42no—
626C22×Dic11—42no—
627C22×Dic11—42no—
628C22×Dic11C2414yes—
629C22×Dic11C2414yes—
630C22×Dic11C2411yescharacteristic
631C22×Dic11C2411yescharacteristic
632C22×Dic11C2411yescharacteristic
633C22×Dic11C2411yescharacteristic
634C22×Dic11C2411yescharacteristic
635C22×Dic11C2411yescharacteristic
636C22×Dic11C2411yescharacteristic
637C22×Dic11C2411yescharacteristic
638C22×Dic11C2411yescharacteristic
639C22×Dic11C2414yes—
640C22×Dic11C2414yes—
641C22×Dic11C2414yes—
642C22×Dic11C2411yescharacteristic
643C22×Dic11C2411yescharacteristic
644Q8×D11—416no—
645D4×D11—232no—
646D4×D11—416no—
647#4339—232no—
648#4339—416no—
649#4339—416no—
650C2×D44—24no—
651C2×D44—24no—
652C2×D44—42no—
653C2×D44—42no—
654C2×D44—42no—
655C2×D44—42no—
656C2×D44—42no—
657C2×D44C2414yes—
658C2×D44C2414yes—
659C2×D44C2414yes—
660C2×D44C2414yes—
661C2×D44C2414yes—
662C2×D44C2414yes—
663C2×D44C2414yes—
664C2×C4×D11—24no—
665C2×C4×D11—24no—
666C2×C4×D11—24no—
667C2×C4×D11—24no—
668C2×C4×D11—24no—
669C2×C4×D11—42no—
670C2×C4×D11—42no—
671C2×C4×D11—42no—
672C2×C4×D11—42no—
673C2×C4×D11—42no—
674C2×C4×D11—42no—
675C2×C4×D11—42no—
676C2×C4×D11—42no—
677C2×C4×D11C2414yes—
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×C4×D11C2414yes—
688C2×C4×D11C2414yes—
689C2×C4×D11C2414yes—
690C2×Dic22—24no—
691C2×Dic22—24no—
692C2×Dic22—24no—
693C2×Dic22—24no—
694C2×Dic22—42no—
695C2×Dic22—42no—
696C2×Dic22—42no—
697C2×Dic22—416no—
698C2×Dic22C2414yes—
699C2×Dic22C2414yes—
700C2×Dic22C2414yes—
701C2×Dic22C2414yes—
702C2×Dic22C2414yes—
703C2×Dic22C2414yes—
704C2×Dic22C2414yes—
705C11×C4⋊C4C2414yes—
706C11×C4⋊C4C2414yes—
707C11×C4⋊C4C2414yes—
708C11×C4⋊C4C2414yes—
709C11×C4⋊C4C2414yes—
710C11×C4⋊C4C2414yes—
711C11×C4⋊C4C2414yes—
712C11×C4⋊C4C2414yes—
713C11×C22⋊C4C2414yes—
714C11×C22⋊C4C2414yes—
715C11×C22⋊C4C2414yes—
716C11×C22⋊C4C2414yes—
717C11×C22⋊C4C2414yes—
718C11×C22⋊C4C2414yes—
719C11×C22⋊C4C2414yes—
720C11×C22⋊C4C2414yes—
721C11×C22⋊C4C2414yes—
722C11×C22⋊C4C2414yes—
723C11×C22⋊C4C2414yes—
724C11×C22⋊C4C2414yes—
725C11×C22⋊C4C2414yes—
726C11×C22⋊C4C2414yes—
727C42×C11C2414yes—
728C42×C11C2414yes—
729C42×C11C2414yes—
730C22⋊Dic11C2414yes—
731C22⋊Dic11C2414yes—
732C22⋊Dic11C2414yes—
733C22⋊Dic11C2414yes—
734C22⋊Dic11C2414yes—
735C22⋊Dic11C2414yes—
736C22⋊Dic11C2414yes—
737C22⋊Dic11C2414yes—
738C22⋊Dic11C2414yes—
739C22⋊Dic11C2414yes—
740(C2×D11)⋊C4C2414yes—
741(C2×D11)⋊C4C2414yes—
742(C2×D11)⋊C4C2414yes—
743(C2×D11)⋊C4C2414yes—
744(C2×D11)⋊C4C2414yes—
745(C2×D11)⋊C4C2414yes—
746(C2×D11)⋊C4C2414yes—
747(C2×D11)⋊C4C2414yes—
748(C2×D11)⋊C4C2414yes—
749(C2×D11)⋊C4C2414yes—
750(C2×D11)⋊C4C2414yes—
751(C2×D11)⋊C4C2414yes—
752(C2×D11)⋊C4C2414yes—
753(C2×D11)⋊C4C2414yes—
754(C2×D11)⋊C4C2414yes—
755(C2×D11)⋊C4C2414yes—
756(C2×D11)⋊C4C2414yes—
757(C2×D11)⋊C4C2414yes—
758(C2×D11)⋊C4C2414yes—
759(C2×D11)⋊C4C2414yes—
760(C2×D11)⋊C4C2414yes—
761(C2×D11)⋊C4C2414yes—
762(C2×D11)⋊C4C2414yes—
763(C2×D11)⋊C4C2414yes—
764(C2×D11)⋊C4C2414yes—
765(C2×D11)⋊C4C2414yes—
766(C2×D11)⋊C4C2414yes—
767(C2×D11)⋊C4C2414yes—
768C4⋊Dic11C2414yes—
769C4⋊Dic11C2414yes—
770C4⋊Dic11C2414yes—
771C4⋊Dic11C2414yes—
772Dic11⋊C4C2414yes—
773Dic11⋊C4C2414yes—
774Dic11⋊C4C2414yes—
775Dic11⋊C4C2414yes—
776Dic11⋊C4C2414yes—
777Dic11⋊C4C2414yes—
778Dic11⋊C4C2414yes—
779Dic11⋊C4C2414yes—
780Dic11⋊C4C2414yes—
781Dic11⋊C4C2414yes—
782Dic11⋊C4C2414yes—
783Dic11⋊C4C2414yes—
784Dic11⋊C4C2414yes—
785Dic11⋊C4C2414yes—
786Dic11⋊C4C2414yes—
787Dic11⋊C4C2414yes—
788C4×Dic11C2414yes—
789C4×Dic11C2414yes—
790C4×Dic11C2414yes—
791C4×Dic11C2414yes—
792C4×Dic11C2414yes—
793C4×Dic11C2414yes—
794C4×Dic11C2414yes—
795C4×Dic11C2414yes—
796C4×Dic11C2414yes—
797C4×Dic11C2414yes—
798C4×Dic11C2414yes—
799C4×Dic11C2414yes—
800C4×Dic11C2414yes—
801#3514—1132no—
802C2×#559—111no—
803C2×#556—111no—
804C2×#555—111no—
805C2×#555—111no—
806C2×#551—111no—
807C2×#551—111no—
808C2×#551—111no—
809C2×#551D1111yescharacteristic, complemented
810C2×D4×Q8—111no—
811C2×#548—111no—
812C2×#548—111no—
813C2×#546—111no—
814C2×#546—111no—
815C2×#546—111no—
816C2×#546—111no—
817C2×D42—111no—
818C2×#542—111no—
819C2×#542—111no—
820C2×#538—111no—
821C2×#538—111no—
822C2×#538—111no—
823C2×#538—111no—
824C2×#532—111no—
825C2×#529—111no—
826C2×#529—111no—
827C2×#529—111no—
828C22×#124—111no—
829C22×#124—111no—
830C2×#518—111no—
831C2×#518—111no—
832C2×C4×#41—111no—
833C23×C11—22no—
834C23×C11—22no—
835C23×C11—22no—
836C23×C11—22no—
837C23×C11—22no—
838C23×C11—22no—
839C23×C11—22no—
840C23×C11—22no—
841C23×C11—22no—
842C23×C11—22no—
843C23×C11—22no—
844C23×C11—28no—
845C23×C11—44no—
846C23×C11—44no—
847C23×C11—88no—
848C23×C11C2×#4114yes—
849C23×C11C2512yes—
850C23×C11C2512yes—
851C23×C11C2512yes—
852C23×C11C2512yes—
853C23×C11C2511yescharacteristic
854C22×D11—22no—
855C22×D11—22no—
856C22×D11—22no—
857C22×D11—22no—
858C22×D11—22no—
859C22×D11—22no—
860C22×D11—22no—
861C22×D11—22no—
862C22×D11—22no—
863C22×D11—22no—
864C22×D11—22no—
865C22×D11—22no—
866C22×D11—22no—
867C22×D11—22no—
868C22×D11—28no—
869C22×D11—28no—
870C22×D11—28no—
871C22×D11—44no—
872C22×D11—44no—
873C22×D11—44no—
874C22×D11—44no—
875C22×D11—44no—
876C22×D11—44no—
877C22×D11—88no—
878C22×D11—88no—
879C22×D11—88no—
880C22×D11C2×#4114yes—
881C22×D11C2512yes—
882C22×D11C2512yes—
883C22×D11C2512yes—
884C22×D11C2512yes—
885C22×D11C2512yes—
886Q8×C11—44no—
887D4×C11—28no—
888D4×C11—44no—
889D4×C11—44no—
890C2×C4×C11—22no—
891C2×C4×C11—22no—
892C2×C4×C11—22no—
893C2×C4×C11—28no—
894C2×C4×C11—22no—
895C2×C4×C11—22no—
896C2×C4×C11—22no—
897C2×C4×C11—22no—
898C2×C4×C11—22no—
899C2×C4×C11—22no—
900C2×C4×C11—22no—
901C2×C4×C11—22no—
902C2×C4×C11—44no—
903C2×C4×C11—44no—
904C2×C4×C11—44no—
905C2×C4×C11—44no—
906C2×C4×C11C2512yes—
907C2×C4×C11C2512yes—
908C2×C4×C11C2512yes—
909C2×C4×C11C2512yes—
910C2×C4×C11C2512yes—
911C2×C4×C11C2512yes—
912C2×C4×C11C2512yes—
913C2×C4×C11C2512yes—
914C2×C4×C11C2512yes—
915C2×C4×C11C2512yes—
916C2×C4×C11C2512yes—
917C22⋊D11—28no—
918C22⋊D11—28no—
919C22⋊D11—28no—
920C22⋊D11—28no—
921C22⋊D11—28no—
922C22⋊D11—28no—
923C22⋊D11—28no—
924C22⋊D11—28no—
925C22⋊D11—44no—
926C22⋊D11—44no—
927C22⋊D11—44no—
928C22⋊D11—44no—
929C22⋊D11—44no—
930C22⋊D11C2×#41116yescomplemented
931C2×Dic11—22no—
932C2×Dic11—22no—
933C2×Dic11—22no—
934C2×Dic11—22no—
935C2×Dic11—22no—
936C2×Dic11—22no—
937C2×Dic11—22no—
938C2×Dic11—22no—
939C2×Dic11—22no—
940C2×Dic11—28no—
941C2×Dic11—28no—
942C2×Dic11—44no—
943C2×Dic11—44no—
944C2×Dic11—44no—
945C2×Dic11C2×#4114yes—
946C2×Dic11H(5,𝔽2)14yes—
947C2×Dic11C2512yes—
948C2×Dic11C2512yes—
949C2×Dic11C2512yes—
950C2×Dic11C2512yes—
951C2×Dic11C2512yes—
952C2×Dic11C2512yes—
953C2×Dic11C2512yes—
954C2×Dic11C2512yes—
955C2×Dic11C2512yes—
956C2×Dic11C2512yes—
957C2×Dic11C2512yes—
958D44—28no—
959D44—28no—
960D44—44no—
961D44—44no—
962D44—44no—
963D44—44no—
964D44—44no—
965C4×D11—28no—
966C4×D11—28no—
967C4×D11—28no—
968C4×D11—28no—
969C4×D11—28no—
970C4×D11—44no—
971C4×D11—44no—
972C4×D11—44no—
973C4×D11—44no—
974C4×D11—44no—
975C4×D11—44no—
976C4×D11—44no—
977C4×D11—44no—
978Dic22—28no—
979Dic22—28no—
980Dic22—28no—
981Dic22—28no—
982Dic22—44no—
983Dic22—44no—
984Dic22—44no—
985C22×#41—111no—
986C22×#41—111no—
987C22×#41—111no—
988C23×Q8—111no—
989C23×Q8—111no—
990C23×D4—111no—
991C23×D4—111no—
992C23×D4—111no—
993C23×D4—111no—
994#559—1116no—
995#556—1116no—
996#555—1116no—
997#555—1116no—
998#551—1116no—
999#551—1116no—
1000#551—1116no—
1001#551C2×D11116yescomplemented
1002D4×Q8—1116no—
1003#548—1116no—
1004#548—1116no—
1005#546—1116no—
1006#546—1116no—
1007#546—1116no—
1008#546—1116no—
1009D42—1116no—
1010#542—1116no—
1011#542—1116no—
1012#538—1116no—
1013#538—1116no—
1014#538—1116no—
1015#538—1116no—
1016#532—1116no—
1017C2×C4⋊Q8—111no—
1018C2×C4⋊Q8—111no—
1019C2×C4⋊Q8—111no—
1020C2×#127—111no—
1021#529—1116no—
1022#529—1116no—
1023#529—1116no—
1024C2×#126—111no—
1025C2×#126—111no—
1026C2×#126—111no—
1027C2×#126—111no—
1028C2×#126—111no—
1029C2×#126—111no—
1030C2×#126—111no—
1031C2×#126—111no—
1032C2×#126C2×D1111yescharacteristic, complemented
1033C2×#126C2×D1111yescharacteristic, complemented
1034C2×#125—111no—
1035C2×#124—111no—
1036C2×#124—111no—
1037C2×#124—111no—
1038C2×#124—1116no—
1039C2×#124—111no—
1040C2×#124—111no—
1041C2×#124—111no—
1042C2×#124—111no—
1043C2×#124—111no—
1044C2×#124—111no—
1045C2×#124—111no—
1046C2×#124—111no—
1047C2×#124—111no—
1048C2×#124—111no—
1049C2×#124—111no—
1050C2×#124—111no—
1051C2×#124—111no—
1052C2×#124—111no—
1053C2×#124—111no—
1054C2×#124—1116no—
1055C2×#124—111no—
1056C2×#124—111no—
1057C2×#124C2×D1111yescharacteristic, complemented
1058C2×#123—111no—
1059C2×#123—111no—
1060C2×#123—111no—
1061C2×#123—111no—
1062C2×#123—111no—
1063C2×#123—111no—
1064C2×#123—111no—
1065C2×#123—111no—
1066C2×#123—111no—
1067C2×#123—111no—
1068C2×#123—111no—
1069C2×#123C2×D1111yescharacteristic, complemented
1070C2×#123C2×D1111yescharacteristic, complemented
1071C2×#123C2×D1111yescharacteristic, complemented
1072C2×C22⋊Q8—111no—
1073C2×C22⋊Q8—111no—
1074C2×C22⋊Q8—111no—
1075C2×C22⋊Q8—111no—
1076C2×C22⋊Q8—111no—
1077C2×C22⋊Q8—111no—
1078C2×C22⋊Q8—111no—
1079C2×C22⋊Q8—111no—
1080C2×C22⋊Q8—111no—
1081C2×C22⋊Q8—111no—
1082C2×C22⋊Q8—111no—
1083C2×C22⋊Q8C2×D1111yescharacteristic, complemented
1084C2×C22⋊Q8C2×D1111yescharacteristic, complemented
1085C2×#121—111no—
1086C2×#121—111no—
1087C2×#121—111no—
1088C2×#121—111no—
1089C2×#121—111no—
1090C2×#121—111no—
1091C2×#121—111no—
1092C2×#121—111no—
1093C2×#121—111no—
1094C2×#121—111no—
1095C2×#121—111no—
1096C2×#121—111no—
1097C2×#121—111no—
1098C2×#121—111no—
1099C2×#121—111no—
1100C2×#121—111no—
1101C2×#121—111no—
1102C2×#120—111no—
1103C2×#120—111no—
1104C2×#120—111no—
1105C2×#120—111no—
1106C2×#120—111no—
1107C2×#120—111no—
1108C2×#120—111no—
1109C2×#120C2×D1111yescharacteristic
1110#518—1116no—
1111#518—1116no—
1112C4×#41—1116no—
1113C2×C4×Q8—111no—
1114C2×C4×Q8—111no—
1115C2×C4×Q8—111no—
1116C2×C4×Q8—111no—
1117C2×C4×Q8—111no—
1118C2×C4×D4—111no—
1119C2×C4×D4—111no—
1120C2×C4×D4—111no—
1121C2×C4×D4—111no—
1122C2×C4×D4—111no—
1123C2×C4×D4—111no—
1124C2×C4×D4—111no—
1125C2×C4×D4—111no—
1126C2×C4×D4—111no—
1127C2×C4×D4—111no—
1128C2×C4×D4—111no—
1129C2×C4×D4—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×D4—111no—
1138C2×C4×D4—111no—
1139C2×C4×D4—111no—
1140C2×C4×D4—111no—
1141C2×C4×D4—111no—
1142C2×C4×D4—111no—
1143C2×C4×D4C2×D1111yescharacteristic, complemented
1144C2×C4×D4C2×D1111yescharacteristic, complemented
1145C2×#117—111no—
1146C2×#117—111no—
1147C2×#117—111no—
1148C2×#117—111no—
1149C2×#117—111no—
1150C2×#117—111no—
1151C2×#117—111no—
1152C2×#117—111no—
1153C2×#117—111no—
1154C2×#117C2×D1111yescharacteristic, complemented
1155C2×#117C2×D1111yescharacteristic, complemented
1156C22×C22⋊C4—111no—
1157C22×C22⋊C4—111no—
1158C22×C22⋊C4—111no—
1159C22×C22⋊C4—111no—
1160C22×C22⋊C4—111no—
1161C22×C22⋊C4—111no—
1162C22×C22⋊C4—111no—
1163C22×C22⋊C4—111no—
1164C22×C22⋊C4—111no—
1165C22×C22⋊C4—111no—
1166C22×C22⋊C4C2×D1111yescharacteristic, complemented
1167C22×C22⋊C4C2×D1111yescharacteristic, complemented
1168C22×C42—111no—
1169C22×C42—111no—
1170C22×C42—111no—
1171C22×C11—22no—
1172C22×C11—22no—
1173C22×C11—28no—
1174C22×C11—22no—
1175C22×C11—22no—
1176C22×C11—22no—
1177C22×C11—22no—
1178C22×C11—22no—
1179C22×C11—22no—
1180C22×C11—22no—
1181C22×C11—22no—
1182C22×C11—22no—
1183C22×C11—44no—
1184C22×C11—44no—
1185C22×C11—44no—
1186C22×C11—88no—
1187C22×C11C22×#4114yes—
1188C22×C11C22×#4112yes—
1189C22×C11C2×H(5,𝔽2)12yes—
1190C22×C11#58512yes—
1191C22×C11C2611yescharacteristic
1192C2×D11—22no—
1193C2×D11—22no—
1194C2×D11—28no—
1195C2×D11—22no—
1196C2×D11—22no—
1197C2×D11—22no—
1198C2×D11—22no—
1199C2×D11—22no—
1200C2×D11—22no—
1201C2×D11—22no—
1202C2×D11—22no—
1203C2×D11—22no—
1204C2×D11—22no—
1205C2×D11—22no—
1206C2×D11—22no—
1207C2×D11—44no—
1208C2×D11—44no—
1209C2×D11—44no—
1210C2×D11—44no—
1211C2×D11—88no—
1212C2×D11—88no—
1213C2×D11—88no—
1214C2×D11C22×#4114yes—
1215C4×C11—22no—
1216C4×C11—22no—
1217C4×C11—22no—
1218C4×C11—22no—
1219C4×C11—22no—
1220C4×C11—22no—
1221C4×C11—22no—
1222C4×C11—22no—
1223C4×C11—22no—
1224C4×C11—22no—
1225C4×C11—22no—
1226Dic11—22no—
1227Dic11—22no—
1228Dic11—22no—
1229Dic11—22no—
1230Dic11—22no—
1231Dic11—22no—
1232Dic11—22no—
1233Dic11—22no—
1234Dic11—22no—
1235Dic11C22×#4114yes—
1236Dic11C2×H(5,𝔽2)14yes—
1237C25—111no—
1238C25—111no—
1239C25—111no—
1240C25C22×D1111yescharacteristic
1241C2×#41—118no—
1242C2×#41—118no—
1243C2×#41—118no—
1244C2×#41—228no—
1245C2×#41—444no—
1246C2×#41—444no—
1247C22×Q8—118no—
1248C22×Q8—111no—
1249C22×Q8—111no—
1250C22×Q8—111no—
1251C22×Q8—111no—
1252C22×Q8—111no—
1253C22×Q8—111no—
1254C22×Q8—111no—
1255C22×Q8—118no—
1256C22×Q8—444no—
1257C22×Q8—444no—
1258C22×Q8C22×D1111yescharacteristic
1259C22×D4—111no—
1260C22×D4—111no—
1261C22×D4—111no—
1262C22×D4—111no—
1263C22×D4—111no—
1264C22×D4—111no—
1265C22×D4—111no—
1266C22×D4—111no—
1267C22×D4—111no—
1268C22×D4—118no—
1269C22×D4—111no—
1270C22×D4—111no—
1271C22×D4—111no—
1272C22×D4—111no—
1273C22×D4—111no—
1274C22×D4—118no—
1275C22×D4—118no—
1276C22×D4—118no—
1277C22×D4—111no—
1278C22×D4—111no—
1279C22×D4—111no—
1280C22×D4—111no—
1281C22×D4—111no—
1282C22×D4—111no—
1283C22×D4—111no—
1284C22×D4—228no—
1285C22×D4—228no—
1286C22×D4—444no—
1287C22×D4—444no—
1288C22×D4C22×D1111yescharacteristic
1289C22×D4C22×D1111yescharacteristic
1290C22×D4C22×D1111yescharacteristic
1291C23×C4—111no—
1292C23×C4—111no—
1293C23×C4—111no—
1294C23×C4—111no—
1295C23×C4—111no—
1296C23×C4—111no—
1297C23×C4—111no—
1298C23×C4—111no—
1299C23×C4—111no—
1300C23×C4—111no—
1301C23×C4—111no—
1302C23×C4—111no—
1303C23×C4—111no—
1304C23×C4—111no—
1305C23×C4—111no—
1306C23×C4—111no—
1307C23×C4—111no—
1308C23×C4—111no—
1309C23×C4C22×D1111yescharacteristic
1310C23×C4C22×D1111yescharacteristic
1311C23×C4C22×D1111yescharacteristic
1312C23×C4C22×D1111yescharacteristic
1313C23×C4C22×D1111yescharacteristic
1314C4⋊Q8—118no—
1315C4⋊Q8—118no—
1316C4⋊Q8—118no—
1317#127—118no—
1318#126—118no—
1319#126—118no—
1320#126—118no—
1321#126—118no—
1322#126—118no—
1323#126—118no—
1324#126—118no—
1325#126—118no—
1326#126C22×D1118yescomplemented
1327#126C22×D1118yescomplemented
1328#125—118no—
1329#124—118no—
1330#124—118no—
1331#124—118no—
1332#124—118no—
1333#124—118no—
1334#124—118no—
1335#124—118no—
1336#124—118no—
1337#124—118no—
1338#124—118no—
1339#124—118no—
1340#124—118no—
1341#124—118no—
1342#124—118no—
1343#124—118no—
1344#124—118no—
1345#124—118no—
1346#124—118no—
1347#124—118no—
1348#124—118no—
1349#124C22×D1118yescomplemented
1350#123—118no—
1351#123—118no—
1352#123—118no—
1353#123—118no—
1354#123—118no—
1355#123—118no—
1356#123—118no—
1357#123—118no—
1358#123—118no—
1359#123—118no—
1360#123—118no—
1361#123C22×D1118yescomplemented
1362#123C22×D1118yescomplemented
1363#123C22×D1118yescomplemented
1364C22⋊Q8—118no—
1365C22⋊Q8—118no—
1366C22⋊Q8—118no—
1367C22⋊Q8—118no—
1368C22⋊Q8—118no—
1369C22⋊Q8—118no—
1370C22⋊Q8—118no—
1371C22⋊Q8—118no—
1372C22⋊Q8—118no—
1373C22⋊Q8—118no—
1374C22⋊Q8—118no—
1375C22⋊Q8C22×D1118yescomplemented
1376C22⋊Q8C22×D1118yescomplemented
1377#121—118no—
1378#121—118no—
1379#121—118no—
1380#121—118no—
1381#121—118no—
1382#121—118no—
1383#121—118no—
1384#121—118no—
1385#121—118no—
1386#121—118no—
1387#121—118no—
1388#121—118no—
1389#121—118no—
1390#121—118no—
1391#121—118no—
1392#121—118no—
1393#121—118no—
1394#120—118no—
1395#120—118no—
1396#120—118no—
1397#120—118no—
1398#120—118no—
1399#120—118no—
1400#120—118no—
1401#120C22×D1118yes—
1402C4×Q8—118no—
1403C4×Q8—118no—
1404C4×Q8—118no—
1405C4×Q8—118no—
1406C4×Q8—118no—
1407C4×D4—118no—
1408C4×D4—118no—
1409C4×D4—118no—
1410C4×D4—118no—
1411C4×D4—118no—
1412C4×D4—118no—
1413C4×D4—118no—
1414C4×D4—118no—
1415C4×D4—118no—
1416C4×D4—118no—
1417C4×D4—118no—
1418C4×D4—118no—
1419C4×D4—118no—
1420C4×D4—118no—
1421C4×D4—118no—
1422C4×D4—118no—
1423C4×D4—118no—
1424C4×D4—118no—
1425C4×D4—118no—
1426C4×D4—118no—
1427C4×D4—118no—
1428C4×D4—118no—
1429C4×D4—118no—
1430C4×D4—118no—
1431C4×D4—118no—
1432C4×D4C22×D1118yescomplemented
1433C4×D4C22×D1118yescomplemented
1434#117—118no—
1435#117—118no—
1436#117—118no—
1437#117—118no—
1438#117—118no—
1439#117—118no—
1440#117—118no—
1441#117—118no—
1442#117—118no—
1443#117C22×D1118yescomplemented
1444#117C22×D1118yescomplemented
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⋊C4—111no—
1460C2×C4⋊C4—111no—
1461C2×C4⋊C4—111no—
1462C2×C4⋊C4—111no—
1463C2×C4⋊C4—111no—
1464C2×C4⋊C4—111no—
1465C2×C4⋊C4C22×D1111yescharacteristic
1466C2×C4⋊C4C22×D1111yescharacteristic
1467C2×C4⋊C4C22×D1111yescharacteristic
1468C2×C4⋊C4C22×D1111yescharacteristic
1469C2×C4⋊C4C22×D1111yescharacteristic
1470C2×C4⋊C4C22×D1111yescharacteristic
1471C2×C4⋊C4C22×D1111yescharacteristic
1472C2×C4⋊C4C22×D1111yescharacteristic
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—118no—
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—118no—
1499C2×C22⋊C4—118no—
1500C2×C22⋊C4—111no—
1501C2×C22⋊C4—111no—
1502C2×C22⋊C4—111no—
1503C2×C22⋊C4—111no—
1504C2×C22⋊C4—118no—
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—118no—
1516C2×C22⋊C4—118no—
1517C2×C22⋊C4—118no—
1518C2×C22⋊C4—118no—
1519C2×C22⋊C4—118no—
1520C2×C22⋊C4—118no—
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×C22⋊C4C22×D1111yescharacteristic
1528C2×C22⋊C4C22×D1111yescharacteristic
1529C2×C22⋊C4C22×D1111yescharacteristic
1530C2×C22⋊C4C22×D1111yescharacteristic
1531C2×C22⋊C4C22×D1111yescharacteristic
1532C2×C22⋊C4C22×D1111yescharacteristic
1533C2×C22⋊C4C22×D1111yescharacteristic
1534C2×C22⋊C4C22×D1111yescharacteristic
1535C2×C22⋊C4C22×D1118yescomplemented
1536C2×C22⋊C4C22×D1118yescomplemented
1537C2×C42—111no—
1538C2×C42—111no—
1539C2×C42—111no—
1540C2×C42—111no—
1541C2×C42—111no—
1542C2×C42—111no—
1543C2×C42—111no—
1544C2×C42—111no—
1545C2×C42—111no—
1546C2×C42—111no—
1547C2×C42—111no—
1548C2×C42—111no—
1549C2×C42—118no—
1550C2×C42—111no—
1551C2×C42—118no—
1552C2×C42—118no—
1553C2×C42C22×D1111yescharacteristic
1554C2×C42C22×D1111yescharacteristic
1555C2×C42C22×D1111yescharacteristic
1556C2×C11—24no—
1557C2×C11—42no—
1558C2×C11—42no—
1559C2×C11—42no—
1560C2×C11#351414yescomplemented
1561C2×C11C23×#4111yescharacteristic
1562C2×C11C22×H(5,𝔽2)11yescharacteristic
1563C2×C11C2×#58511yescharacteristic
1564D11—24no—
1565D11—42no—
1566D11—42no—
1567D11—42no—
1568D11—42no—
1569C24—24no—
1570C24—42no—
1571C24—42no—
1572C24—111no—
1573C24—111no—
1574C24—111no—
1575C24—111no—
1576C24—111no—
1577C24—114no—
1578C24—114no—
1579C24—114no—
1580C24—224no—
1581C24—224no—
1582C24—224no—
1583C24—442no—
1584C24—442no—
1585C24—442no—
1586C24—442no—
1587C24—442no—
1588C24—442no—
1589C24C23×D1111yescharacteristic
1590C24C23×D1111yescharacteristic
1591C24C23×D1111yescharacteristic
1592C24C23×D1111yescharacteristic
1593C24C23×D1114yes—
1594#41—2232no—
1595#41—4416no—
1596#41—4416no—
1597C2×Q8—42no—
1598C2×Q8—114no—
1599C2×Q8—114no—
1600C2×Q8—114no—
1601C2×Q8—114no—
1602C2×Q8—114no—
1603C2×Q8—114no—
1604C2×Q8—114no—
1605C2×Q8—224no—
1606C2×Q8—224no—
1607C2×Q8—224no—
1608C2×Q8—224no—
1609C2×Q8—442no—
1610C2×Q8—442no—
1611C2×Q8—442no—
1612C2×Q8—4416no—
1613C2×Q8—4416no—
1614C2×Q8C23×D1114yes—
1615C2×D4—24no—
1616C2×D4—42no—
1617C2×D4—42no—
1618C2×D4—118no—
1619C2×D4—114no—
1620C2×D4—114no—
1621C2×D4—114no—
1622C2×D4—114no—
1623C2×D4—114no—
1624C2×D4—114no—
1625C2×D4—114no—
1626C2×D4—114no—
1627C2×D4—114no—
1628C2×D4—114no—
1629C2×D4—114no—
1630C2×D4—114no—
1631C2×D4—114no—
1632C2×D4—114no—
1633C2×D4—114no—
1634C2×D4—114no—
1635C2×D4—114no—
1636C2×D4—114no—
1637C2×D4—114no—
1638C2×D4—114no—
1639C2×D4—114no—
1640C2×D4—224no—
1641C2×D4—224no—
1642C2×D4—224no—
1643C2×D4—224no—
1644C2×D4—224no—
1645C2×D4—224no—
1646C2×D4—224no—
1647C2×D4—2232no—
1648C2×D4—2232no—
1649C2×D4—224no—
1650C2×D4—224no—
1651C2×D4—224no—
1652C2×D4—442no—
1653C2×D4—442no—
1654C2×D4—442no—
1655C2×D4—442no—
1656C2×D4—442no—
1657C2×D4—4416no—
1658C2×D4—4416no—
1659C2×D4—442no—
1660C2×D4—442no—
1661C2×D4—442no—
1662C2×D4—442no—
1663C2×D4—442no—
1664C2×D4C23×D1114yes—
1665C2×D4C23×D1114yes—
1666C2×D4C23×D1114yes—
1667C22×C4—24no—
1668C22×C4—42no—
1669C22×C4—42no—
1670C22×C4—42no—
1671C22×C4—42no—
1672C22×C4—111no—
1673C22×C4—111no—
1674C22×C4—114no—
1675C22×C4—114no—
1676C22×C4—111no—
1677C22×C4—111no—
1678C22×C4—111no—
1679C22×C4—111no—
1680C22×C4—111no—
1681C22×C4—111no—
1682C22×C4—111no—
1683C22×C4—111no—
1684C22×C4—111no—
1685C22×C4—114no—
1686C22×C4—114no—
1687C22×C4—114no—
1688C22×C4—114no—
1689C22×C4—114no—
1690C22×C4—114no—
1691C22×C4—114no—
1692C22×C4—114no—
1693C22×C4—114no—
1694C22×C4—114no—
1695C22×C4—114no—
1696C22×C4—114no—
1697C22×C4—114no—
1698C22×C4—114no—
1699C22×C4—114no—
1700C22×C4—114no—
1701C22×C4—224no—
1702C22×C4—224no—
1703C22×C4—224no—
1704C22×C4—224no—
1705C22×C4—224no—
1706C22×C4—224no—
1707C22×C4—224no—
1708C22×C4—442no—
1709C22×C4—442no—
1710C22×C4—442no—
1711C22×C4—442no—
1712C22×C4—442no—
1713C22×C4—442no—
1714C22×C4—442no—
1715C22×C4—442no—
1716C22×C4—442no—
1717C22×C4—442no—
1718C22×C4—442no—
1719C22×C4C23×D1114yes—
1720C22×C4C23×D1111yescharacteristic
1721C22×C4C23×D1111yescharacteristic
1722C22×C4C23×D1111yescharacteristic
1723C22×C4C23×D1111yescharacteristic
1724C22×C4C23×D1111yescharacteristic
1725C22×C4C23×D1111yescharacteristic
1726C22×C4C23×D1111yescharacteristic
1727C22×C4C23×D1111yescharacteristic
1728C22×C4C23×D1111yescharacteristic
1729C22×C4C23×D1111yescharacteristic
1730C22×C4C23×D1111yescharacteristic
1731C22×C4C23×D1114yes—
1732C22×C4C23×D1114yes—
1733C22×C4C23×D1114yes—
1734C22×C4C23×D1114yes—
1735C4⋊C4—114no—
1736C4⋊C4—114no—
1737C4⋊C4—114no—
1738C4⋊C4—114no—
1739C4⋊C4—114no—
1740C4⋊C4—114no—
1741C4⋊C4—114no—
1742C4⋊C4—114no—
1743C4⋊C4—114no—
1744C4⋊C4—114no—
1745C4⋊C4—114no—
1746C4⋊C4—114no—
1747C4⋊C4—114no—
1748C4⋊C4—114no—
1749C4⋊C4—114no—
1750C4⋊C4—114no—
1751C4⋊C4—114no—
1752C4⋊C4—114no—
1753C4⋊C4—114no—
1754C4⋊C4—114no—
1755C4⋊C4C23×D1114yes—
1756C4⋊C4C23×D1114yes—
1757C4⋊C4C23×D1114yes—
1758C4⋊C4C23×D1114yes—
1759C4⋊C4C23×D1114yes—
1760C4⋊C4C23×D1114yes—
1761C4⋊C4C23×D1114yes—
1762C4⋊C4C23×D1114yes—
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⋊C4—114no—
1788C22⋊C4—114no—
1789C22⋊C4—114no—
1790C22⋊C4—114no—
1791C22⋊C4—114no—
1792C22⋊C4—114no—
1793C22⋊C4—114no—
1794C22⋊C4—114no—
1795C22⋊C4—114no—
1796C22⋊C4—114no—
1797C22⋊C4—114no—
1798C22⋊C4—114no—
1799C22⋊C4—114no—
1800C22⋊C4—114no—
1801C22⋊C4C23×D1114yes—
1802C22⋊C4C23×D1114yes—
1803C22⋊C4C23×D1114yes—
1804C22⋊C4C23×D1114yes—
1805C22⋊C4C23×D1114yes—
1806C22⋊C4C23×D1114yes—
1807C22⋊C4C23×D1114yes—
1808C22⋊C4C23×D1114yes—
1809C22⋊C4C23×D1114yes—
1810C22⋊C4C23×D1114yes—
1811C22⋊C4C23×D1114yes—
1812C22⋊C4C23×D1114yes—
1813C22⋊C4C23×D1114yes—
1814C22⋊C4C23×D1114yes—
1815C42—114no—
1816C42—114no—
1817C42—114no—
1818C42—114no—
1819C42—114no—
1820C42—114no—
1821C42—114no—
1822C42—114no—
1823C42—114no—
1824C42—114no—
1825C42—114no—
1826C42—114no—
1827C42—114no—
1828C42C23×D1114yes—
1829C42C23×D1114yes—
1830C42C23×D1114yes—
1831C11C2×#351411yescharacteristic, complemented, Sylow
1832C23—22no—
1833C23—22no—
1834C23—22no—
1835C23—22no—
1836C23—22no—
1837C23—22no—
1838C23—22no—
1839C23—22no—
1840C23—22no—
1841C23—22no—
1842C23—22no—
1843C23—28no—
1844C23—44no—
1845C23—44no—
1846C23—88no—
1847C23—114no—
1848C23—112no—
1849C23—112no—
1850C23—112no—
1851C23—112no—
1852C23—112no—
1853C23—228no—
1854C23—228no—
1855C23—222no—
1856C23—222no—
1857C23—222no—
1858C23—222no—
1859C23—222no—
1860C23—222no—
1861C23—222no—
1862C23—222no—
1863C23—222no—
1864C23—222no—
1865C23—222no—
1866C23—222no—
1867C23—222no—
1868C23—222no—
1869C23—228no—
1870C23—444no—
1871C23—444no—
1872C23—444no—
1873C23—444no—
1874C23—444no—
1875C23—444no—
1876C23—888no—
1877C23—888no—
1878C23—888no—
1879C23#41×D1114yes—
1880C23C24×D1112yes—
1881C23C24×D1112yes—
1882C23C24×D1112yes—
1883C23C24×D1112yes—
1884C23C24×D1111yescharacteristic
1885Q8—44no—
1886Q8—228no—
1887Q8—228no—
1888Q8—228no—
1889Q8—228no—
1890Q8—444no—
1891Q8—444no—
1892Q8—444no—
1893D4—28no—
1894D4—44no—
1895D4—44no—
1896D4—1116no—
1897D4—228no—
1898D4—228no—
1899D4—228no—
1900D4—228no—
1901D4—228no—
1902D4—228no—
1903D4—228no—
1904D4—228no—
1905D4—228no—
1906D4—228no—
1907D4—444no—
1908D4—444no—
1909D4—444no—
1910D4—444no—
1911D4—444no—
1912D4—444no—
1913D4—444no—
1914D4—444no—
1915D4—444no—
1916D4—444no—
1917C2×C4—22no—
1918C2×C4—22no—
1919C2×C4—28no—
1920C2×C4—22no—
1921C2×C4—22no—
1922C2×C4—22no—
1923C2×C4—22no—
1924C2×C4—22no—
1925C2×C4—22no—
1926C2×C4—22no—
1927C2×C4—22no—
1928C2×C4—22no—
1929C2×C4—44no—
1930C2×C4—44no—
1931C2×C4—44no—
1932C2×C4—44no—
1933C2×C4—114no—
1934C2×C4—114no—
1935C2×C4—112no—
1936C2×C4—112no—
1937C2×C4—112no—
1938C2×C4—112no—
1939C2×C4—112no—
1940C2×C4—112no—
1941C2×C4—112no—
1942C2×C4—112no—
1943C2×C4—112no—
1944C2×C4—112no—
1945C2×C4—112no—
1946C2×C4—228no—
1947C2×C4—228no—
1948C2×C4—228no—
1949C2×C4—228no—
1950C2×C4—228no—
1951C2×C4—228no—
1952C2×C4—228no—
1953C2×C4—222no—
1954C2×C4—222no—
1955C2×C4—222no—
1956C2×C4—222no—
1957C2×C4—222no—
1958C2×C4—222no—
1959C2×C4—222no—
1960C2×C4—222no—
1961C2×C4—222no—
1962C2×C4—444no—
1963C2×C4—444no—
1964C2×C4—444no—
1965C2×C4—444no—
1966C2×C4—444no—
1967C2×C4—444no—
1968C2×C4—444no—
1969C2×C4—444no—
1970C2×C4—444no—
1971C2×C4—444no—
1972C2×C4—444no—
1973C2×C4C24×D1112yes—
1974C2×C4C24×D1112yes—
1975C2×C4C24×D1112yes—
1976C2×C4C24×D1112yes—
1977C2×C4C24×D1112yes—
1978C2×C4C24×D1112yes—
1979C2×C4C24×D1112yes—
1980C2×C4C24×D1112yes—
1981C2×C4C24×D1112yes—
1982C2×C4C24×D1112yes—
1983C2×C4C24×D1112yes—
1984C22—22no—
1985C22—22no—
1986C22—28no—
1987C22—22no—
1988C22—22no—
1989C22—22no—
1990C22—22no—
1991C22—22no—
1992C22—22no—
1993C22—22no—
1994C22—22no—
1995C22—22no—
1996C22—44no—
1997C22—44no—
1998C22—44no—
1999C22—88no—
2000C22—114no—
2001C22—222no—
2002C22—222no—
2003C22—228no—
2004C22—222no—
2005C22—222no—
2006C22—222no—
2007C22—222no—
2008C22—222no—
2009C22—222no—
2010C22—222no—
2011C22—222no—
2012C22—222no—
2013C22—222no—
2014C22—222no—
2015C22—222no—
2016C22—444no—
2017C22—444no—
2018C22—444no—
2019C22—444no—
2020C22—888no—
2021C22—888no—
2022C22—888no—
2023C22C2×#41×D1114yes—
2024C22C2×#41×D1112yes—
2025C22#1062345312yes—
2026C22D11×H(5,𝔽2)12yes—
2027C22C25×D1111yescharacteristic
2028C4—22no—
2029C4—22no—
2030C4—22no—
2031C4—22no—
2032C4—22no—
2033C4—22no—
2034C4—22no—
2035C4—22no—
2036C4—22no—
2037C4—22no—
2038C4—22no—
2039C4—114no—
2040C4—114no—
2041C4—222no—
2042C4—222no—
2043C4—222no—
2044C4—222no—
2045C4—222no—
2046C4—222no—
2047C4—222no—
2048C4—222no—
2049C4—222no—
2050C2—24no—
2051C2—42no—
2052C2—42no—
2053C2—42no—
2054C2—224no—
2055C2—442no—
2056C2—442no—
2057C2—442no—
2058C2—442no—
2059C2#1308256614yesdirect product factor
2060C2C22×#41×D1111yescharacteristic
2061C2C2×D11×H(5,𝔽2)11yescharacteristic
2062C2C2×#1062345311yescharacteristic
subgroupG/H
centerC23C24×D11
commutator, cosocleC22×C11C26
FrattiniC22C25×D11
FittingC2×C11×#551C2
socleC23×C11C25
hypercenterC2×#551D11
hypocenterC11C2×#3514
LCSG ▷ C22×C11 ▷ C11
UCSC1 ◁ C23 ◁ C2×#551

Complements

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

NH ≅ G/Ntype
1. #13082566C2direct (N × H)
2. C2×#10623195C2semidirect
3. C2×#10623233C2semidirect
4. C2×#10623063C2semidirect
5. C2×#10623201C2semidirect
6. C2×#10623087C2semidirect
7. C2×#10623236C2semidirect
8. C2×#10623058C2semidirect
9. C2×#10623163C2semidirect
10. C2×#10623164C2semidirect
11. C2×#10623083C2semidirect
12. C2×#10623185C2semidirect
13. C2×#10623185C2semidirect
14. C2×#10623021C2semidirect
15. C2×#10623021C2semidirect
16. C2×#10623121C2semidirect
17. C2×#10623171C2semidirect
18. C2×#10623193C2semidirect
19. C2×#10623175C2semidirect
20. C2×#10623235C2semidirect
21. C2×#10623188C2semidirect
22. C2×#10623124C2semidirect
23. C2×#10623079C2semidirect
24. C2×#10623237C2semidirect
25. C2×#10623059C2semidirect
26. C2×#10623180C2semidirect
27. C22×#66938C2semidirect
28. C2×D11×#124C2semidirect
29. C2×#10623017C2semidirect
30. C2×#10623076C2semidirect
31. C2×#10623053C2semidirect
32. C2×C11×#551C2semidirect
35. C22×Q8×D11C22semidirect
39. C22×#4339C22semidirect
40. C22×#4339C22semidirect
41. C23×Dic22C22semidirect
42. C11×#551C22semidirect
43. C2×C11×#126C22semidirect
44. C2×C11×#126C22semidirect
45. C2×C11×#124C22semidirect
46. C2×C11×#123C22semidirect
47. C2×C11×#123C22semidirect
48. C2×C11×#123C22semidirect
49. C2×C11×C22⋊Q8C22semidirect
50. C2×C11×C22⋊Q8C22semidirect
52. C2×C4×D4×C11C22semidirect
53. C2×C4×D4×C11C22semidirect
54. C2×C11×#117C22semidirect
55. C2×C11×#117C22semidirect
56. C22×C11×C22⋊C4C22semidirect
57. C22×C11×C22⋊C4C22semidirect
58. C2×#67006C22semidirect
59. C22×C22⋊Dic11C22semidirect
60. C2×#67000C22semidirect
61. C2×#67000C22semidirect
62. C2×#66997C22semidirect
66. C2×#66992C22semidirect
67. C2×#66992C22semidirect
68. C2×#66991C22semidirect
70. C2×#66989C22semidirect
71. C2×#66988C22semidirect
72. C2×D4×Dic11C22semidirect
73. C2×#66983C22semidirect
74. C2×#66983C22semidirect
75. C2×#66982C22semidirect
76. C2×#66982C22semidirect
78. C2×C4×C22⋊D11C22semidirect
79. C2×C4×C22⋊D11C22semidirect
80. C2×C4×C22⋊D11C22semidirect
81. C2×C4×C22⋊D11C22semidirect
82. C2×C4×C22⋊D11C22semidirect
83. C2×C4×C22⋊D11C22semidirect
84. C22×(C2×D11)⋊C4C22semidirect
85. C22×(C2×D11)⋊C4C22semidirect
86. C22×(C2×D11)⋊C4C22semidirect
87. C2×#66977C22semidirect
88. C22×C4×Dic11C22semidirect
89. #10623237C22semidirect
90. #10623236C22semidirect
91. #10623235C22semidirect
92. #10623233C22semidirect
93. D11×#124C22semidirect
94. #10623201C22semidirect
95. #10623195C22semidirect
96. #10623193C22semidirect
97. #10623188C22semidirect
98. #10623185C22semidirect
99. #10623185C22semidirect
100. #10623180C22semidirect
101. #10623175C22semidirect
102. #10623171C22semidirect
103. #10623164C22semidirect
104. #10623163C22semidirect
105. #10623124C22semidirect
106. #10623121C22semidirect
107. #10623087C22semidirect
108. #10623083C22semidirect
109. #10623079C22semidirect
110. #10623076C22semidirect
111. #10623063C22semidirect
112. #10623059C22semidirect
113. #10623058C22semidirect
114. #10623053C22semidirect
115. C2×#66951C22semidirect
116. C2×#66951C22semidirect
117. C2×#66951C22semidirect
118. C2×#66951C22semidirect
119. C2×#66950C22semidirect
120. C2×#66949C22semidirect
121. C2×#66949C22semidirect
122. C2×#66949C22semidirect
123. C2×#66949C22semidirect
124. C2×#66949C22semidirect
125. C2×#66949C22semidirect
126. C2×#66948C22semidirect
127. C2×#66948C22semidirect
128. C2×#66948C22semidirect
129. C2×#66947C22semidirect
130. C2×#66947C22semidirect
131. C2×#66947C22semidirect
132. C2×#66947C22semidirect
133. C2×#66947C22semidirect
134. C2×#66946C22semidirect
135. C2×#66946C22semidirect
136. C2×#66946C22semidirect
137. C2×#66946C22semidirect
138. C2×#66945C22semidirect
139. C2×#66945C22semidirect
140. C2×#66942C22semidirect
141. C2×#66941C22semidirect
142. C2×#66941C22semidirect
143. C2×#66940C22semidirect
144. C2×#66940C22semidirect
145. C2×#66940C22semidirect
146. C2×#66940C22semidirect
150. C2×#66938C22semidirect
151. C2×#66938C22semidirect
152. C2×#66938C22semidirect
153. C2×#66938C22semidirect
154. C2×#66938C22semidirect
155. C2×#66938C22semidirect
156. C2×#66938C22semidirect
157. C2×#66938C22semidirect
158. C2×#66938C22semidirect
159. C2×#66938C22semidirect
160. C2×#66938C22semidirect
161. C2×#66938C22semidirect
162. C2×#66938C22semidirect
163. #10623021C22semidirect
164. #10623021C22semidirect
168. C2×#66937C22semidirect
169. C2×#66937C22semidirect
170. C2×#66937C22semidirect
171. C2×#66937C22semidirect
172. C2×#66936C22semidirect
173. C2×#66936C22semidirect
174. C2×#66936C22semidirect
177. C2×#66935C22semidirect
178. C2×#66935C22semidirect
179. C2×#66935C22semidirect
180. #10623017C22semidirect
185. C2×(C22⋊D11)⋊C4C22semidirect
186. C2×(C22⋊D11)⋊C4C22semidirect
187. C2×(C22⋊D11)⋊C4C22semidirect
188. C2×(C22⋊D11)⋊C4C22semidirect
189. C2×(C22⋊D11)⋊C4C22semidirect
190. C2×(C22⋊D11)⋊C4C22semidirect
191. C2×(C22⋊D11)⋊C4C22semidirect
192. C2×C22⋊C4×D11C22semidirect
193. C2×C22⋊C4×D11C22semidirect
194. C2×C22⋊C4×D11C22semidirect
195. C2×C22⋊C4×D11C22semidirect
196. C2×C22⋊C4×D11C22semidirect
197. C2×C22⋊C4×D11C22semidirect
198. C2×#66932C22semidirect
199. C2×#66932C22semidirect
200. C2×#66932C22semidirect
201. C2×#66931C22semidirect
202. C2×#66931C22semidirect
203. C2×#66931C22semidirect
204. C2×#66930C22semidirect
205. C2×#66930C22semidirect
206. C2×#66930C22semidirect
207. C2×#66929C22semidirect
208. C2×#66928C22semidirect
209. C2×#66928C22semidirect
210. C2×C4×D44C22semidirect
211. C2×C4×D44C22semidirect
212. C2×#66925C22semidirect
213. C2×#66925C22semidirect
214. C2×#66925C22semidirect
215. C2×#66925C22semidirect
216. C2×C42×D11C22semidirect
217. C2×C42×D11C22semidirect
218. C2×C4×Dic22C22semidirect
256. C2×Q8×D11C23semidirect
265. C2×#4339C23semidirect
266. C2×#4339C23semidirect
295. C22×Dic22C23semidirect
296. C11×#126C23semidirect
297. C11×#126C23semidirect
298. C11×#124C23semidirect
299. C11×#123C23semidirect
300. C11×#123C23semidirect
301. C11×#123C23semidirect
302. C11×C22⋊Q8C23semidirect
303. C11×C22⋊Q8C23semidirect
305. C4×D4×C11C23semidirect
306. C4×D4×C11C23semidirect
307. C11×#117C23semidirect
308. C11×#117C23semidirect
331. C2×C11×C22⋊C4C23semidirect
332. C2×C11×C22⋊C4C23semidirect
336. #67006C23semidirect
347. C2×C22⋊Dic11C23semidirect
348. #67000C23semidirect
349. #67000C23semidirect
350. #66997C23semidirect
354. #66992C23semidirect
355. #66992C23semidirect
356. #66991C23semidirect
358. #66989C23semidirect
359. #66988C23semidirect
360. D4×Dic11C23semidirect
361. #66983C23semidirect
362. #66983C23semidirect
363. #66982C23semidirect
364. #66982C23semidirect
366. C4×C22⋊D11C23semidirect
367. C4×C22⋊D11C23semidirect
368. C4×C22⋊D11C23semidirect
369. C4×C22⋊D11C23semidirect
370. C4×C22⋊D11C23semidirect
371. C4×C22⋊D11C23semidirect
400. C2×(C2×D11)⋊C4C23semidirect
401. C2×(C2×D11)⋊C4C23semidirect
402. C2×(C2×D11)⋊C4C23semidirect
407. #66977C23semidirect
437. C2×C4×Dic11C23semidirect
438. #66951C23semidirect
439. #66951C23semidirect
440. #66951C23semidirect
441. #66951C23semidirect
442. #66950C23semidirect
443. #66949C23semidirect
444. #66949C23semidirect
445. #66949C23semidirect
446. #66949C23semidirect
447. #66949C23semidirect
448. #66949C23semidirect
449. #66948C23semidirect
450. #66948C23semidirect
451. #66948C23semidirect
452. #66947C23semidirect
453. #66947C23semidirect
454. #66947C23semidirect
455. #66947C23semidirect
456. #66947C23semidirect
457. #66946C23semidirect
458. #66946C23semidirect
459. #66946C23semidirect
460. #66946C23semidirect
461. #66945C23semidirect
462. #66945C23semidirect
463. #66942C23semidirect
464. #66941C23semidirect
465. #66941C23semidirect
466. #66940C23semidirect
467. #66940C23semidirect
468. #66940C23semidirect
469. #66940C23semidirect
473. #66938C23semidirect
474. #66938C23semidirect
475. #66938C23semidirect
476. #66938C23semidirect
477. #66938C23semidirect
478. #66938C23semidirect
479. #66938C23semidirect
480. #66938C23semidirect
481. #66938C23semidirect
482. #66938C23semidirect
483. #66938C23semidirect
484. #66938C23semidirect
488. #66937C23semidirect
489. #66937C23semidirect
490. #66937C23semidirect
491. #66937C23semidirect
492. #66936C23semidirect
493. #66936C23semidirect
494. #66936C23semidirect
497. #66935C23semidirect
498. #66935C23semidirect
499. #66935C23semidirect
504. (C22⋊D11)⋊C4C23semidirect
505. (C22⋊D11)⋊C4C23semidirect
506. (C22⋊D11)⋊C4C23semidirect
507. (C22⋊D11)⋊C4C23semidirect
508. (C22⋊D11)⋊C4C23semidirect
509. (C22⋊D11)⋊C4C23semidirect
510. (C22⋊D11)⋊C4C23semidirect
511. C22⋊C4×D11C23semidirect
512. C22⋊C4×D11C23semidirect
513. C22⋊C4×D11C23semidirect
514. C22⋊C4×D11C23semidirect
515. C22⋊C4×D11C23semidirect
516. C22⋊C4×D11C23semidirect
517. #66932C23semidirect
518. #66932C23semidirect
519. #66932C23semidirect
520. #66931C23semidirect
521. #66931C23semidirect
522. #66931C23semidirect
523. #66930C23semidirect
524. #66930C23semidirect
525. #66930C23semidirect
526. #66929C23semidirect
527. #66928C23semidirect
528. #66928C23semidirect
529. C4×D44C23semidirect
530. C4×D44C23semidirect
531. #66925C23semidirect
532. #66925C23semidirect
533. #66925C23semidirect
534. #66925C23semidirect
535. C42×D11C23semidirect
536. C42×D11C23semidirect
537. C4×Dic22C23semidirect
608. C2×C22⋊D11#41semidirect
809. C2×#551D11semidirect
930. C22⋊D11C2×#41semidirect
1001. #551C2×D11semidirect
1032. C2×#126C2×D11semidirect
1033. C2×#126C2×D11semidirect
1057. C2×#124C2×D11semidirect
1069. C2×#123C2×D11semidirect
1070. C2×#123C2×D11semidirect
1071. C2×#123C2×D11semidirect
1083. C2×C22⋊Q8C2×D11semidirect
1084. C2×C22⋊Q8C2×D11semidirect
1143. C2×C4×D4C2×D11semidirect
1144. C2×C4×D4C2×D11semidirect
1154. C2×#117C2×D11semidirect
1155. C2×#117C2×D11semidirect
1166. C22×C22⋊C4C2×D11semidirect
1167. C22×C22⋊C4C2×D11semidirect
1326. #126C22×D11semidirect
1327. #126C22×D11semidirect
1349. #124C22×D11semidirect
1361. #123C22×D11semidirect
1362. #123C22×D11semidirect
1363. #123C22×D11semidirect
1375. C22⋊Q8C22×D11semidirect
1376. C22⋊Q8C22×D11semidirect
1432. C4×D4C22×D11semidirect
1433. C4×D4C22×D11semidirect
1443. #117C22×D11semidirect
1444. #117C22×D11semidirect
1535. C2×C22⋊C4C22×D11semidirect
1536. C2×C22⋊C4C22×D11semidirect
1560. C2×C11#3514semidirect
1831. C11C2×#3514semidirect
2059. C2#13082566direct (N × H)

Maximal subgroups

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

subgroupindex
#130825662
C2×#106231952
C2×#106232332
C2×#106230632
C2×#106232012
C2×#106230872
C2×#106232362
C2×#106230582
C2×#106231632
C2×#106231642
C2×#106230832
C2×#106231852
C2×#106230212
C2×#106231212
C2×#106231712
C2×#106231932
C2×#106231752
C2×#106232352
C2×#106231882
C2×#106231242
C2×#106230792
C2×#106232372
C2×#106230592
C2×#106231802
C22×#669382
C2×D11×#1242
C2×#106230172
C2×#106230762
C2×#106230532
C2×C11×#5512
C2×#351411