Finite Group Databasebeta

← C2×#13082311 #15661823

Subgroups — C2×#13082311 #15661823

Order 2816.

7390 conjugacy classes of subgroups.

The subgroup lattice has 1940 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#13082311C2132yesmaximal, direct product factor
2C2×#10623112C211yesmaximal, characteristic, complemented
3C2×#10623225C211yesmaximal, characteristic, complemented
4C2×#10623181C211yesmaximal, characteristic, complemented
5C2×#10623044C211yesmaximal, characteristic, complemented
6C2×#10623062C211yesmaximal, characteristic, complemented
7C2×#10623224C211yesmaximal, characteristic, complemented
8C2×#10623224C211yesmaximal, characteristic, complemented
9C2×#10623087C211yesmaximal, characteristic, complemented
10C2×#10623168C211yesmaximal, characteristic, complemented
11C2×#10623168C211yesmaximal, characteristic, complemented
12C2×#10623236C211yesmaximal, characteristic, complemented
13C2×#10623236C211yesmaximal, characteristic, complemented
14C2×#10623058C211yesmaximal, characteristic, complemented
15C2×#10623058C211yesmaximal, characteristic, complemented
16C2×#10623189C211yesmaximal, characteristic, complemented
17C2×#10623165C211yesmaximal, characteristic, complemented
18C2×#10623223C211yesmaximal, characteristic, complemented
19C2×#10623223C211yesmaximal, characteristic, complemented
20C2×#10623169C211yesmaximal, characteristic, complemented
21C2×#10623238C211yesmaximal, characteristic, complemented
22C2×#10623184C211yesmaximal, characteristic
23C2×#10623111C211yesmaximal, characteristic, complemented
24C2×#10623222C211yesmaximal, characteristic, complemented
25C2×#10623237C211yesmaximal, characteristic, complemented
26C2×#10623059C211yesmaximal, characteristic, complemented
27C22×#66947C211yesmaximal, characteristic, complemented
28C2×D11×#123C211yesmaximal, characteristic, complemented
29C2×#10623052C211yesmaximal, characteristic, complemented
30C2×#10623076C211yesmaximal, characteristic, complemented
31C2×D11×#117C211yesmaximal, characteristic, complemented
32C2×C11×#552C211yesmaximal, characteristic, complemented
33C22×D4×D11C2211yescharacteristic
34C23×D44C2211yescharacteristic
35C23×C4×D11C2211yescharacteristic
36C11×#552C22116yescomplemented
37C2×C11×#126C2211yescharacteristic, complemented
38C2×C11×#126C2211yescharacteristic, complemented
39C2×C11×#125C2211yescharacteristic, complemented
40C2×C11×#125C2211yescharacteristic, complemented
41C2×C11×#125C2211yescharacteristic, complemented
42C2×C11×#123C2211yescharacteristic
43C2×C11×#123C2211yescharacteristic
44C2×C11×C22⋊Q8C2211yescharacteristic, complemented
45C2×C11×C22⋊Q8C2211yescharacteristic, complemented
46C2×C4×Q8×C11C2211yescharacteristic, complemented
47C2×C4×D4×C11C2211yescharacteristic
48C2×C11×#117C2211yescharacteristic, complemented
49C2×C11×#117C2211yescharacteristic, complemented
50C2×C11×#117C2211yescharacteristic, complemented
51C22×C11×C4⋊C4C2211yescharacteristic, complemented
52C2×#67000C2211yescharacteristic, complemented
53C2×#66999C2211yescharacteristic, complemented
54C2×#66999C2211yescharacteristic, complemented
55C2×#66999C2211yescharacteristic, complemented
56C2×#66990C2211yescharacteristic
57C2×#66988C2211yescharacteristic
58C2×D4×Dic11C2211yescharacteristic
59C2×#66982C2211yescharacteristic
60C2×#66982C2211yescharacteristic
61C2×#66982C2211yescharacteristic, complemented
62C2×C4×C22⋊D11C2211yescharacteristic
63C2×C4×C22⋊D11C2211yescharacteristic, complemented
64C2×C4×C22⋊D11C2211yescharacteristic, complemented
65C22×(C2×D11)⋊C4C2211yescharacteristic
66C22×(C2×D11)⋊C4C2211yescharacteristic, complemented
67C22×(C2×D11)⋊C4C2211yescharacteristic, complemented
68C22×(C2×D11)⋊C4C2211yescharacteristic, complemented
69C2×#66979C2211yescharacteristic, complemented
70C2×#66979C2211yescharacteristic, complemented
71C2×#66977C2211yescharacteristic, complemented
72C22×Dic11⋊C4C2211yescharacteristic, complemented
73#10623238C22116yescomplemented
74#10623237C22116yescomplemented
75#10623236C22116yescomplemented
76#10623236C22116yescomplemented
77#10623225C22116yescomplemented
78#10623224C22116yescomplemented
79#10623224C22116yescomplemented
80#10623223C22116yescomplemented
81#10623223C22116yescomplemented
82#10623222C22116yescomplemented
83#10623189C22116yescomplemented
84#10623184C22116yes—
85D11×#123C22116yescomplemented
86#10623181C22116yescomplemented
87#10623169C22116yescomplemented
88#10623168C22116yescomplemented
89#10623168C22116yescomplemented
90#10623165C22116yescomplemented
91#10623112C22116yescomplemented
92#10623111C22116yescomplemented
93#10623087C22116yescomplemented
94#10623076C22116yescomplemented
95#10623062C22116yescomplemented
96#10623059C22116yescomplemented
97#10623058C22116yescomplemented
98#10623058C22116yescomplemented
99#10623052C22116yescomplemented
100D11×#117C22116yescomplemented
101#10623044C22116yescomplemented
102C2×#66951C2211yescharacteristic, complemented
103C2×#66951C2211yescharacteristic, complemented
104C2×#66951C2211yescharacteristic, complemented
105C2×#66951C2211yescharacteristic, complemented
106C2×#66951C2211yescharacteristic, complemented
107C2×#66951C2211yescharacteristic, complemented
108C2×#66951C2211yescharacteristic, complemented
109C2×#66951C2211yescharacteristic, complemented
110C2×#66951C2211yescharacteristic, complemented
111C2×#66950C2211yescharacteristic, complemented
112C2×#66950C2211yescharacteristic, complemented
113C2×#66950C2211yescharacteristic, complemented
114C2×#66950C2211yescharacteristic, complemented
115C2×#66949C2211yescharacteristic, complemented
116C2×#66949C2211yescharacteristic, complemented
117C2×#66949C2211yescharacteristic, complemented
118C2×#66949C2211yescharacteristic, complemented
119C2×#66949C2211yescharacteristic, complemented
120C2×#66949C2211yescharacteristic, complemented
121C2×#66949C2211yescharacteristic, complemented
122C2×#66948C2211yescharacteristic
123C2×#66948C2211yescharacteristic
124C2×#66947C2211yescharacteristic
125C2×#66947C2211yescharacteristic
126C2×#66947C2211yescharacteristic
127C2×#66947C2211yescharacteristic
128C2×#66947C2211yescharacteristic
129C2×#66947C2211yescharacteristic
130C2×#66947C22116yescomplemented
131C2×#66947C2211yescharacteristic, complemented
132C2×#66947C2211yescharacteristic, complemented
133C2×#66947C2211yescharacteristic, complemented
134C2×#66947C2211yescharacteristic, complemented
135C2×#66947C2211yescharacteristic, complemented
136C2×#66947C2211yescharacteristic, complemented
137C2×#66947C2211yescharacteristic, complemented
138C2×#66947C2211yescharacteristic, complemented
139C2×#66947C2211yescharacteristic, complemented
140C2×#66947C2211yescharacteristic, complemented
141C2×#66946C2211yescharacteristic
142C2×#66946C2211yescharacteristic
143C2×#66946C2211yescharacteristic, complemented
144C2×#66946C2211yescharacteristic, complemented
145C2×#66946C2211yescharacteristic, complemented
146C2×#66946C2211yescharacteristic, complemented
147C2×#66945C2211yescharacteristic, complemented
148C2×#66945C2211yescharacteristic, complemented
149C2×#66945C2211yescharacteristic, complemented
150C2×#66945C2211yescharacteristic, complemented
151C2×#66945C2211yescharacteristic, complemented
152C2×#66945C2211yescharacteristic, complemented
153C2×C4⋊C4×D11C2211yescharacteristic, complemented
154C2×C4⋊C4×D11C2211yescharacteristic, complemented
155C2×C4⋊C4×D11C2211yescharacteristic, complemented
156C2×C4⋊C4×D11C2211yescharacteristic, complemented
157C2×#66943C2211yescharacteristic, complemented
158C2×#66943C2211yescharacteristic, complemented
159C2×#66942C2211yescharacteristic, complemented
160C2×#66942C2211yescharacteristic, complemented
161C2×#66942C2211yescharacteristic, complemented
162C2×#66942C2211yescharacteristic, complemented
163C2×#66942C2211yescharacteristic, complemented
164C2×#66942C2211yescharacteristic, complemented
165C2×#66940C2211yescharacteristic, complemented
166C2×#66940C2211yescharacteristic, complemented
167C2×#66939C2211yescharacteristic
168C2×#66939C2211yescharacteristic, complemented
169C2×#66938C2211yescharacteristic, complemented
170C2×#66938C2211yescharacteristic, complemented
171C2×#66937C2211yescharacteristic
172C2×#66937C2211yescharacteristic
173C2×#66936C2211yescharacteristic, complemented
174C2×#66936C2211yescharacteristic, complemented
175C2×#66936C2211yescharacteristic, complemented
176C2×#66936C2211yescharacteristic, complemented
177C2×#66935C2211yescharacteristic
178C2×#66935C2211yescharacteristic
179C2×#66935C2211yescharacteristic
180C2×(C22⋊D11)⋊C4C2211yescharacteristic
181C2×(C22⋊D11)⋊C4C2211yescharacteristic, complemented
182C2×(C22⋊D11)⋊C4C2211yescharacteristic, complemented
183C2×C22⋊C4×D11C2211yescharacteristic
184C2×C22⋊C4×D11C2211yescharacteristic
185C2×C22⋊C4×D11C2211yescharacteristic
186C2×C22⋊C4×D11C2211yescharacteristic, complemented
187C2×C22⋊C4×D11C2211yescharacteristic, complemented
188C2×C22⋊C4×D11C2211yescharacteristic, complemented
189C2×C22⋊C4×D11C2211yescharacteristic, complemented
190C2×C22⋊C4×D11C2211yescharacteristic, complemented
191C2×#66932C2211yescharacteristic, complemented
192C2×#66932C2211yescharacteristic, complemented
193C2×#66931C2211yescharacteristic, complemented
194C2×#66931C2211yescharacteristic, complemented
195C2×#66931C2211yescharacteristic, complemented
196C2×#66930C2211yescharacteristic, complemented
197C2×#66930C2211yescharacteristic, complemented
198C2×#66930C2211yescharacteristic, complemented
199C2×#66929C2211yescharacteristic, complemented
200C2×#66929C2211yescharacteristic, complemented
201C2×#66929C2211yescharacteristic, complemented
202C2×#66928C2211yescharacteristic, complemented
203C2×C4×D44C2211yescharacteristic
204C2×C4×D44C2211yescharacteristic
205C2×C4×D44C2211yescharacteristic, complemented
206C2×C4×D44C2211yescharacteristic, complemented
207C2×C4×D44C2211yescharacteristic, complemented
208C2×C4×D44C2211yescharacteristic, complemented
209C2×#66925C2211yescharacteristic, complemented
210C2×#66925C2211yescharacteristic, complemented
211C2×#66925C2211yescharacteristic, complemented
212C2×#66925C2211yescharacteristic, complemented
213C2×#66925C2211yescharacteristic, complemented
214C2×#66925C2211yescharacteristic, complemented
215C2×C42×D11C2211yescharacteristic, complemented
216C2×C42×D11C2211yescharacteristic, complemented
217C2×#66923C2211yescharacteristic, complemented
218C2×C4×Dic22C2211yescharacteristic, complemented
219C24×D11C2311yescharacteristic
220C24×D11C2311yescharacteristic
221C24×D11C2311yescharacteristic
222C22×Q8×C11C2311yescharacteristic
223C22×D4×C11C2311yescharacteristic
224C23×C4×C11C2311yescharacteristic
225C23×C4×C11C2311yescharacteristic
226C23×C4×C11C2311yescharacteristic
227C23×C4×C11C2311yescharacteristic
228C22×C22⋊D11C2311yescharacteristic
229C22×C22⋊D11C2311yescharacteristic
230C22×C22⋊D11C2311yescharacteristic
231C22×C22⋊D11C2311yescharacteristic
232C23×Dic11C2311yescharacteristic
233C23×Dic11C2311yescharacteristic
234C23×Dic11C2311yescharacteristic
235C2×D4×D11—28no—
236C2×D4×D11C2318yes—
237C22×D44—28no—
238C22×D44C2311yescharacteristic
239C22×D44C2311yescharacteristic
240C22×D44C2311yescharacteristic
241C22×D44C2311yescharacteristic
242C22×D44C2311yescharacteristic
243C22×D44C2318yes—
244C22×D44C2311yescharacteristic
245C22×D44C2311yescharacteristic
246C22×C4×D11—28no—
247C22×C4×D11C2311yescharacteristic
248C22×C4×D11C2311yescharacteristic
249C22×C4×D11C2311yescharacteristic
250C22×C4×D11C2311yescharacteristic
251C22×C4×D11C2311yescharacteristic
252C22×C4×D11C2318yes—
253C22×C4×D11C2311yescharacteristic
254C22×C4×D11C2311yescharacteristic
255C22×C4×D11C2311yescharacteristic
256C22×C4×D11C2311yescharacteristic
257C22×C4×D11C2311yescharacteristic
258C22×C4×D11C2311yescharacteristic
259C22×C4×D11C2311yescharacteristic
260C22×C4×D11C2311yescharacteristic
261C22×C4×D11C2311yescharacteristic
262C22×C4×D11C2311yescharacteristic
263C22×C4×D11C2311yescharacteristic
264C22×C4×D11C2311yescharacteristic
265C22×Dic22C2311yescharacteristic
266C22×Dic22C2311yescharacteristic
267C22×Dic22C2311yescharacteristic
268C11×#126C2318yescomplemented
269C11×#126C2318yescomplemented
270C11×#125C2318yescomplemented
271C11×#125C2318yescomplemented
272C11×#125C2318yescomplemented
273C11×#123C2318yes—
274C11×#123C2318yes—
275C11×C22⋊Q8C2318yescomplemented
276C11×C22⋊Q8C2318yescomplemented
277C4×Q8×C11C2318yescomplemented
278C4×D4×C11C2318yes—
279C11×#117C2318yescomplemented
280C11×#117C2318yescomplemented
281C11×#117C2318yescomplemented
282C2×C11×C4⋊C4C2311yescharacteristic
283C2×C11×C4⋊C4C2311yescharacteristic
284C2×C11×C4⋊C4C2311yescharacteristic
285C2×C11×C4⋊C4C2311yescharacteristic
286C2×C11×C4⋊C4C2311yescharacteristic
287C2×C11×C4⋊C4C2311yescharacteristic
288C2×C11×C4⋊C4C2311yescharacteristic
289C2×C11×C4⋊C4C2311yescharacteristic
290C2×C11×C4⋊C4C2311yescharacteristic
291C2×C11×C4⋊C4C2311yescharacteristic
292C2×C11×C4⋊C4C2311yescharacteristic
293C2×C11×C4⋊C4C2311yescharacteristic
294C2×C11×C4⋊C4C2311yescharacteristic
295C2×C11×C4⋊C4C2311yescharacteristic
296C2×C11×C4⋊C4C2311yescharacteristic
297C2×C11×C4⋊C4C2311yescharacteristic
298C2×C11×C4⋊C4C2318yescomplemented
299C2×C11×C22⋊C4C2311yescharacteristic
300C2×C11×C22⋊C4C2311yescharacteristic
301C2×C11×C22⋊C4C2311yescharacteristic
302C2×C11×C22⋊C4C2311yescharacteristic
303C2×C11×C22⋊C4C2311yescharacteristic
304C2×C11×C22⋊C4C2311yescharacteristic
305C2×C11×C22⋊C4C2311yescharacteristic
306C2×C11×C22⋊C4C2311yescharacteristic
307C2×C42×C11C2311yescharacteristic
308C2×C42×C11C2311yescharacteristic
309C2×C42×C11C2311yescharacteristic
310C2×C42×C11C2311yescharacteristic
311C2×C42×C11C2311yescharacteristic
312C2×C22⋊Dic11C2311yescharacteristic
313C2×C22⋊Dic11C2311yescharacteristic
314C2×C22⋊Dic11C2311yescharacteristic
315C2×C22⋊Dic11C2311yescharacteristic
316C2×C22⋊Dic11C2311yescharacteristic
317C2×C22⋊Dic11C2311yescharacteristic
318#67000C2318yescomplemented
319#66999C2318yescomplemented
320#66999C2318yescomplemented
321#66999C2318yescomplemented
322#66990C2318yes—
323#66988C2318yes—
324D4×Dic11C2318yes—
325#66982C2318yes—
326#66982C2318yes—
327#66982C2318yescomplemented
328C4×C22⋊D11C2318yes—
329C4×C22⋊D11C2318yescomplemented
330C4×C22⋊D11C2318yescomplemented
331C2×(C2×D11)⋊C4C2311yescharacteristic
332C2×(C2×D11)⋊C4C2311yescharacteristic
333C2×(C2×D11)⋊C4C2311yescharacteristic
334C2×(C2×D11)⋊C4C2311yescharacteristic
335C2×(C2×D11)⋊C4C2311yescharacteristic
336C2×(C2×D11)⋊C4C2311yescharacteristic
337C2×(C2×D11)⋊C4C2311yescharacteristic
338C2×(C2×D11)⋊C4C2311yescharacteristic
339C2×(C2×D11)⋊C4C2311yescharacteristic
340C2×(C2×D11)⋊C4C2311yescharacteristic
341C2×(C2×D11)⋊C4C2311yescharacteristic
342C2×(C2×D11)⋊C4C2311yescharacteristic
343C2×(C2×D11)⋊C4C2311yescharacteristic
344C2×(C2×D11)⋊C4C2311yescharacteristic
345C2×(C2×D11)⋊C4C2311yescharacteristic
346C2×(C2×D11)⋊C4C2311yescharacteristic
347C2×(C2×D11)⋊C4C2311yescharacteristic
348C2×(C2×D11)⋊C4C2311yescharacteristic
349C2×(C2×D11)⋊C4C2311yescharacteristic
350C2×(C2×D11)⋊C4C2311yescharacteristic
351C2×(C2×D11)⋊C4C2311yescharacteristic
352C2×(C2×D11)⋊C4C2311yescharacteristic
353C2×(C2×D11)⋊C4C2311yescharacteristic
354C2×(C2×D11)⋊C4C2311yescharacteristic
355C2×(C2×D11)⋊C4C2311yescharacteristic
356C2×(C2×D11)⋊C4C2311yescharacteristic
357C2×(C2×D11)⋊C4C2311yescharacteristic
358C2×(C2×D11)⋊C4C2311yescharacteristic
359C2×(C2×D11)⋊C4C2311yescharacteristic
360C2×(C2×D11)⋊C4C2311yescharacteristic
361C2×(C2×D11)⋊C4C2311yescharacteristic
362C2×(C2×D11)⋊C4C2311yescharacteristic
363C2×(C2×D11)⋊C4C2311yescharacteristic
364C2×(C2×D11)⋊C4C2311yescharacteristic
365C2×(C2×D11)⋊C4C2318yes—
366C2×(C2×D11)⋊C4C2318yescomplemented
367C2×(C2×D11)⋊C4C2318yescomplemented
368C2×(C2×D11)⋊C4C2318yescomplemented
369#66979C2318yescomplemented
370#66979C2318yescomplemented
371C2×C4⋊Dic11C2311yescharacteristic
372C2×C4⋊Dic11C2311yescharacteristic
373C2×C4⋊Dic11C2311yescharacteristic
374C2×C4⋊Dic11C2311yescharacteristic
375C2×C4⋊Dic11C2311yescharacteristic
376C2×C4⋊Dic11C2311yescharacteristic
377C2×C4⋊Dic11C2311yescharacteristic
378C2×C4⋊Dic11C2311yescharacteristic
379C2×C4⋊Dic11C2311yescharacteristic
380C2×C4⋊Dic11C2311yescharacteristic
381#66977C2318yescomplemented
382C2×Dic11⋊C4C2311yescharacteristic
383C2×Dic11⋊C4C2311yescharacteristic
384C2×Dic11⋊C4C2311yescharacteristic
385C2×Dic11⋊C4C2311yescharacteristic
386C2×Dic11⋊C4C2311yescharacteristic
387C2×Dic11⋊C4C2311yescharacteristic
388C2×Dic11⋊C4C2311yescharacteristic
389C2×Dic11⋊C4C2311yescharacteristic
390C2×Dic11⋊C4C2311yescharacteristic
391C2×Dic11⋊C4C2311yescharacteristic
392C2×Dic11⋊C4C2311yescharacteristic
393C2×Dic11⋊C4C2311yescharacteristic
394C2×Dic11⋊C4C2311yescharacteristic
395C2×Dic11⋊C4C2311yescharacteristic
396C2×Dic11⋊C4C2311yescharacteristic
397C2×Dic11⋊C4C2311yescharacteristic
398C2×Dic11⋊C4C2311yescharacteristic
399C2×Dic11⋊C4C2311yescharacteristic
400C2×Dic11⋊C4C2311yescharacteristic
401C2×Dic11⋊C4C2311yescharacteristic
402C2×Dic11⋊C4C2311yescharacteristic
403C2×Dic11⋊C4C2311yescharacteristic
404C2×Dic11⋊C4C2318yescomplemented
405C2×C4×Dic11C2311yescharacteristic
406C2×C4×Dic11C2311yescharacteristic
407C2×C4×Dic11C2311yescharacteristic
408C2×C4×Dic11C2311yescharacteristic
409C2×C4×Dic11C2311yescharacteristic
410C2×C4×Dic11C2311yescharacteristic
411C2×C4×Dic11C2311yescharacteristic
412C2×C4×Dic11C2311yescharacteristic
413C2×C4×Dic11C2311yescharacteristic
414C2×C4×Dic11C2311yescharacteristic
415C2×C4×Dic11C2311yescharacteristic
416#66951C2318yescomplemented
417#66951C2318yescomplemented
418#66951C2318yescomplemented
419#66951C2318yescomplemented
420#66951C2318yescomplemented
421#66951C2318yescomplemented
422#66951C2318yescomplemented
423#66951C2318yescomplemented
424#66951C2318yescomplemented
425#66950C2318yescomplemented
426#66950C2318yescomplemented
427#66950C2318yescomplemented
428#66950C2318yescomplemented
429#66949C2318yescomplemented
430#66949C2318yescomplemented
431#66949C2318yescomplemented
432#66949C2318yescomplemented
433#66949C2318yescomplemented
434#66949C2318yescomplemented
435#66949C2318yescomplemented
436#66948C2318yes—
437#66948C2318yes—
438#66947C2318yes—
439#66947C2318yes—
440#66947C2318yes—
441#66947C2318yes—
442#66947C2318yes—
443#66947C2318yes—
444#66947C2318yescomplemented
445#66947C2318yescomplemented
446#66947C2318yescomplemented
447#66947C2318yescomplemented
448#66947C2318yescomplemented
449#66947C2318yescomplemented
450#66947C2318yescomplemented
451#66947C2318yescomplemented
452#66947C2318yescomplemented
453#66947C2318yescomplemented
454#66946C2318yes—
455#66946C2318yes—
456#66946C2318yescomplemented
457#66946C2318yescomplemented
458#66946C2318yescomplemented
459#66946C2318yescomplemented
460#66945C2318yescomplemented
461#66945C2318yescomplemented
462#66945C2318yescomplemented
463#66945C2318yescomplemented
464#66945C2318yescomplemented
465#66945C2318yescomplemented
466C4⋊C4×D11C2318yescomplemented
467C4⋊C4×D11C2318yescomplemented
468C4⋊C4×D11C2318yescomplemented
469C4⋊C4×D11C2318yescomplemented
470#66943C2318yescomplemented
471#66943C2318yescomplemented
472#66942C2318yescomplemented
473#66942C2318yescomplemented
474#66942C2318yescomplemented
475#66942C2318yescomplemented
476#66942C2318yescomplemented
477#66942C2318yescomplemented
478#66940C2318yescomplemented
479#66940C2318yescomplemented
480#66939C2318yes—
481#66939C2318yescomplemented
482#66938C2318yescomplemented
483#66938C2318yescomplemented
484#66937C2318yes—
485#66937C2318yes—
486#66936C2318yescomplemented
487#66936C2318yescomplemented
488#66936C2318yescomplemented
489#66936C2318yescomplemented
490#66935C2318yes—
491#66935C2318yes—
492#66935C2318yes—
493(C22⋊D11)⋊C4C2318yes—
494(C22⋊D11)⋊C4C2318yescomplemented
495(C22⋊D11)⋊C4C2318yescomplemented
496C22⋊C4×D11C2318yes—
497C22⋊C4×D11C2318yes—
498C22⋊C4×D11C2318yes—
499C22⋊C4×D11C2318yescomplemented
500C22⋊C4×D11C2318yescomplemented
501C22⋊C4×D11C2318yescomplemented
502C22⋊C4×D11C2318yescomplemented
503C22⋊C4×D11C2318yescomplemented
504#66932C2318yescomplemented
505#66932C2318yescomplemented
506#66931C2318yescomplemented
507#66931C2318yescomplemented
508#66931C2318yescomplemented
509#66930C2318yescomplemented
510#66930C2318yescomplemented
511#66930C2318yescomplemented
512#66929C2318yescomplemented
513#66929C2318yescomplemented
514#66929C2318yescomplemented
515#66928C2318yescomplemented
516C4×D44C2318yes—
517C4×D44C2318yes—
518C4×D44C2318yescomplemented
519C4×D44C2318yescomplemented
520C4×D44C2318yescomplemented
521C4×D44C2318yescomplemented
522#66925C2318yescomplemented
523#66925C2318yescomplemented
524#66925C2318yescomplemented
525#66925C2318yescomplemented
526#66925C2318yescomplemented
527#66925C2318yescomplemented
528C42×D11C2318yescomplemented
529C42×D11C2318yescomplemented
530#66923C2318yescomplemented
531C4×Dic22C2318yescomplemented
532C2×#3491—111nomaximal, Sylow
533C24×C11C2411yescharacteristic
534C24×C11C2411yescharacteristic
535C23×D11—24no—
536C23×D11—24no—
537C23×D11—42no—
538C23×D11—42no—
539C23×D11—42no—
540C23×D11—42no—
541C23×D11—42no—
542C23×D11—42no—
543C23×D11#4118yes—
544C23×D11C2411yescharacteristic
545C23×D11C2411yescharacteristic
546C23×D11C2411yescharacteristic
547C23×D11C2411yescharacteristic
548C23×D11C2411yescharacteristic
549C23×D11C2414yes—
550C23×D11C2414yes—
551C23×D11C2414yes—
552C2×Q8×C11—42no—
553C2×Q8×C11C2414yes—
554C2×D4×C11—24no—
555C2×D4×C11C2414yes—
556C22×C4×C11—24no—
557C22×C4×C11—24no—
558C22×C4×C11—42no—
559C22×C4×C11—42no—
560C22×C4×C11C2411yescharacteristic
561C22×C4×C11C2411yescharacteristic
562C22×C4×C11C2411yescharacteristic
563C22×C4×C11C2411yescharacteristic
564C22×C4×C11C2411yescharacteristic
565C22×C4×C11C2411yescharacteristic
566C22×C4×C11C2411yescharacteristic
567C22×C4×C11C2411yescharacteristic
568C22×C4×C11C2411yescharacteristic
569C22×C4×C11C2411yescharacteristic
570C22×C4×C11C2411yescharacteristic
571C22×C4×C11C2411yescharacteristic
572C22×C4×C11C2411yescharacteristic
573C22×C4×C11C2414yes—
574C22×C4×C11C2414yes—
575C22×C4×C11C2414yes—
576C22×C4×C11C2414yes—
577C2×C22⋊D11—24no—
578C2×C22⋊D11—24no—
579C2×C22⋊D11—42no—
580C2×C22⋊D11—42no—
581C2×C22⋊D11C2414yes—
582C2×C22⋊D11C2414yes—
583C2×C22⋊D11C2414yes—
584C2×C22⋊D11C2414yes—
585C22×Dic11—24no—
586C22×Dic11—42no—
587C22×Dic11—42no—
588C22×Dic11C2414yes—
589C22×Dic11C2411yescharacteristic
590C22×Dic11C2411yescharacteristic
591C22×Dic11C2411yescharacteristic
592C22×Dic11C2411yescharacteristic
593C22×Dic11C2411yescharacteristic
594C22×Dic11C2411yescharacteristic
595C22×Dic11C2411yescharacteristic
596C22×Dic11C2411yescharacteristic
597C22×Dic11C2411yescharacteristic
598C22×Dic11C2411yescharacteristic
599C22×Dic11C2411yescharacteristic
600C22×Dic11C2414yes—
601C22×Dic11C2414yes—
602D4×D11—232no—
603C2×D44—24no—
604C2×D44—24no—
605C2×D44—24no—
606C2×D44—24no—
607C2×D44—232no—
608C2×D44—24no—
609C2×D44—42no—
610C2×D44—42no—
611C2×D44C2414yes—
612C2×D44C2414yes—
613C2×D44C2414yes—
614C2×D44C2414yes—
615C2×D44C2414yes—
616C2×D44C2414yes—
617C2×D44C2414yes—
618C2×C4×D11—24no—
619C2×C4×D11—24no—
620C2×C4×D11—24no—
621C2×C4×D11—24no—
622C2×C4×D11—232no—
623C2×C4×D11—24no—
624C2×C4×D11—42no—
625C2×C4×D11—42no—
626C2×C4×D11—42no—
627C2×C4×D11—42no—
628C2×C4×D11—42no—
629C2×C4×D11—42no—
630C2×C4×D11—42no—
631C2×C4×D11—42no—
632C2×C4×D11—42no—
633C2×C4×D11—42no—
634C2×C4×D11—42no—
635C2×C4×D11—42no—
636C2×C4×D11C2414yes—
637C2×C4×D11C2414yes—
638C2×C4×D11C2414yes—
639C2×C4×D11C2414yes—
640C2×C4×D11C2414yes—
641C2×C4×D11C2414yes—
642C2×C4×D11C2414yes—
643C2×C4×D11C2414yes—
644C2×C4×D11C2414yes—
645C2×C4×D11C2414yes—
646C2×C4×D11C2414yes—
647C2×C4×D11C2414yes—
648C2×C4×D11C2414yes—
649C2×C4×D11C2414yes—
650C2×C4×D11C2414yes—
651C2×C4×D11C2414yes—
652C2×C4×D11C2414yes—
653C2×Dic22—42no—
654C2×Dic22—42no—
655C2×Dic22—42no—
656C2×Dic22C2414yes—
657C2×Dic22C2414yes—
658C2×Dic22C2414yes—
659C11×C4⋊C4C2414yes—
660C11×C4⋊C4C2414yes—
661C11×C4⋊C4C2414yes—
662C11×C4⋊C4C2414yes—
663C11×C4⋊C4C2414yes—
664C11×C4⋊C4C2414yes—
665C11×C4⋊C4C2414yes—
666C11×C4⋊C4C2414yes—
667C11×C4⋊C4C2414yes—
668C11×C4⋊C4C2414yes—
669C11×C4⋊C4C2414yes—
670C11×C4⋊C4C2414yes—
671C11×C4⋊C4C2414yes—
672C11×C4⋊C4C2414yes—
673C11×C4⋊C4C2414yes—
674C11×C4⋊C4C2414yes—
675C11×C22⋊C4C2414yes—
676C11×C22⋊C4C2414yes—
677C11×C22⋊C4C2414yes—
678C11×C22⋊C4C2414yes—
679C11×C22⋊C4C2414yes—
680C11×C22⋊C4C2414yes—
681C11×C22⋊C4C2414yes—
682C11×C22⋊C4C2414yes—
683C42×C11C2414yes—
684C42×C11C2414yes—
685C42×C11C2414yes—
686C42×C11C2414yes—
687C42×C11C2414yes—
688C22⋊Dic11C2414yes—
689C22⋊Dic11C2414yes—
690C22⋊Dic11C2414yes—
691C22⋊Dic11C2414yes—
692C22⋊Dic11C2414yes—
693C22⋊Dic11C2414yes—
694(C2×D11)⋊C4C2414yes—
695(C2×D11)⋊C4C2414yes—
696(C2×D11)⋊C4C2414yes—
697(C2×D11)⋊C4C2414yes—
698(C2×D11)⋊C4C2414yes—
699(C2×D11)⋊C4C2414yes—
700(C2×D11)⋊C4C2414yes—
701(C2×D11)⋊C4C2414yes—
702(C2×D11)⋊C4C2414yes—
703(C2×D11)⋊C4C2414yes—
704(C2×D11)⋊C4C2414yes—
705(C2×D11)⋊C4C2414yes—
706(C2×D11)⋊C4C2414yes—
707(C2×D11)⋊C4C2414yes—
708(C2×D11)⋊C4C2414yes—
709(C2×D11)⋊C4C2414yes—
710(C2×D11)⋊C4C2414yes—
711(C2×D11)⋊C4C2414yes—
712(C2×D11)⋊C4C2414yes—
713(C2×D11)⋊C4C2414yes—
714(C2×D11)⋊C4C2414yes—
715(C2×D11)⋊C4C2414yes—
716(C2×D11)⋊C4C2414yes—
717(C2×D11)⋊C4C2414yes—
718(C2×D11)⋊C4C2414yes—
719(C2×D11)⋊C4C2414yes—
720(C2×D11)⋊C4C2414yes—
721(C2×D11)⋊C4C2414yes—
722(C2×D11)⋊C4C2414yes—
723(C2×D11)⋊C4C2414yes—
724(C2×D11)⋊C4C2414yes—
725(C2×D11)⋊C4C2414yes—
726(C2×D11)⋊C4C2414yes—
727(C2×D11)⋊C4C2414yes—
728C4⋊Dic11C2414yes—
729C4⋊Dic11C2414yes—
730C4⋊Dic11C2414yes—
731C4⋊Dic11C2414yes—
732C4⋊Dic11C2414yes—
733C4⋊Dic11C2414yes—
734C4⋊Dic11C2414yes—
735C4⋊Dic11C2414yes—
736C4⋊Dic11C2414yes—
737C4⋊Dic11C2414yes—
738Dic11⋊C4C2414yes—
739Dic11⋊C4C2414yes—
740Dic11⋊C4C2414yes—
741Dic11⋊C4C2414yes—
742Dic11⋊C4C2414yes—
743Dic11⋊C4C2414yes—
744Dic11⋊C4C2414yes—
745Dic11⋊C4C2414yes—
746Dic11⋊C4C2414yes—
747Dic11⋊C4C2414yes—
748Dic11⋊C4C2414yes—
749Dic11⋊C4C2414yes—
750Dic11⋊C4C2414yes—
751Dic11⋊C4C2414yes—
752Dic11⋊C4C2414yes—
753Dic11⋊C4C2414yes—
754Dic11⋊C4C2414yes—
755Dic11⋊C4C2414yes—
756Dic11⋊C4C2414yes—
757Dic11⋊C4C2414yes—
758Dic11⋊C4C2414yes—
759Dic11⋊C4C2414yes—
760C4×Dic11C2414yes—
761C4×Dic11C2414yes—
762C4×Dic11C2414yes—
763C4×Dic11C2414yes—
764C4×Dic11C2414yes—
765C4×Dic11C2414yes—
766C4×Dic11C2414yes—
767C4×Dic11C2414yes—
768C4×Dic11C2414yes—
769C4×Dic11C2414yes—
770C4×Dic11C2414yes—
771#3491—1132no—
772C2×#552—111no—
773C2×#552—111no—
774C2×#552—111no—
775C2×#552—111no—
776C2×#552—111no—
777C2×#552—111no—
778C2×#552—111no—
779C2×#552D1111yescharacteristic, complemented
780C2×#551—111no—
781C2×#551—111no—
782C2×#551—111no—
783C2×#551—111no—
784C2×#551—111no—
785C2×#551—111no—
786C2×#551—111no—
787C2×#551—111no—
788C2×#543—111no—
789C2×#539—111no—
790C2×#539—111no—
791C2×#539—111no—
792C2×#539—111no—
793C2×#534—111no—
794C2×#529—111no—
795C2×#529—111no—
796C2×#529—111no—
797C2×#529—111no—
798C22×#123—111no—
799C22×#123—111no—
800C2×#518—111no—
801C2×#518—111no—
802C22×#117—111no—
803C23×C11—22no—
804C23×C11—22no—
805C23×C11—22no—
806C23×C11—22no—
807C23×C11—22no—
808C23×C11C2×#4114yes—
809C23×C11C2512yes—
810C23×C11C2512yes—
811C23×C11C2511yescharacteristic
812C22×D11—22no—
813C22×D11—22no—
814C22×D11—22no—
815C22×D11—22no—
816C22×D11—22no—
817C22×D11—22no—
818C22×D11—22no—
819C22×D11—22no—
820C22×D11—22no—
821C22×D11—22no—
822C22×D11—22no—
823C22×D11—22no—
824C22×D11—22no—
825C22×D11—28no—
826C22×D11—28no—
827C22×D11—416no—
828C22×D11—44no—
829C22×D11—44no—
830C22×D11—44no—
831C22×D11—44no—
832C22×D11—44no—
833C22×D11—44no—
834C22×D11—88no—
835C22×D11—88no—
836C22×D11C2×#4114yes—
837C22×D11C2×#4114yes—
838C22×D11C2×#41116yes—
839C22×D11C2512yes—
840C22×D11C2512yes—
841C22×D11C2512yes—
842C22×D11C2512yes—
843C22×D11C2512yes—
844Q8×C11—44no—
845D4×C11—28no—
846C2×C4×C11—28no—
847C2×C4×C11—22no—
848C2×C4×C11—22no—
849C2×C4×C11—22no—
850C2×C4×C11—28no—
851C2×C4×C11—22no—
852C2×C4×C11—22no—
853C2×C4×C11—22no—
854C2×C4×C11—22no—
855C2×C4×C11—22no—
856C2×C4×C11—22no—
857C2×C4×C11—22no—
858C2×C4×C11—22no—
859C2×C4×C11—22no—
860C2×C4×C11—22no—
861C2×C4×C11—44no—
862C2×C4×C11—44no—
863C2×C4×C11C2512yes—
864C2×C4×C11C2512yes—
865C2×C4×C11C2512yes—
866C2×C4×C11C2512yes—
867C2×C4×C11C2512yes—
868C2×C4×C11C2512yes—
869C2×C4×C11C2512yes—
870C2×C4×C11C2512yes—
871C2×C4×C11C2512yes—
872C2×C4×C11C2512yes—
873C2×C4×C11C2512yes—
874C2×C4×C11C2512yes—
875C2×C4×C11C2512yes—
876C22⋊D11—28no—
877C22⋊D11—28no—
878C22⋊D11—44no—
879C22⋊D11—44no—
880C2×Dic11—28no—
881C2×Dic11—22no—
882C2×Dic11—22no—
883C2×Dic11—22no—
884C2×Dic11—22no—
885C2×Dic11—22no—
886C2×Dic11—22no—
887C2×Dic11—22no—
888C2×Dic11—22no—
889C2×Dic11—22no—
890C2×Dic11—22no—
891C2×Dic11—22no—
892C2×Dic11—44no—
893C2×Dic11—44no—
894C2×Dic11C2512yes—
895C2×Dic11C2512yes—
896C2×Dic11C2512yes—
897C2×Dic11C2512yes—
898C2×Dic11C2512yes—
899C2×Dic11C2512yes—
900C2×Dic11C2512yes—
901C2×Dic11C2512yes—
902C2×Dic11C2512yes—
903C2×Dic11C2512yes—
904C2×Dic11C2512yes—
905D44—28no—
906D44—28no—
907D44—28no—
908D44—28no—
909D44—28no—
910D44—44no—
911D44—44no—
912C4×D11—28no—
913C4×D11—28no—
914C4×D11—28no—
915C4×D11—28no—
916C4×D11—28no—
917C4×D11—44no—
918C4×D11—44no—
919C4×D11—44no—
920C4×D11—44no—
921C4×D11—44no—
922C4×D11—44no—
923C4×D11—44no—
924C4×D11—44no—
925C4×D11—44no—
926C4×D11—44no—
927C4×D11—44no—
928C4×D11—44no—
929Dic22—44no—
930Dic22—44no—
931Dic22—44no—
932C23×D4—111no—
933C23×D4—111no—
934C24×C4—111no—
935#552—1116no—
936#552—1116no—
937#552—1116no—
938#552—1116no—
939#552—1116no—
940#552—1116no—
941#552—1116no—
942#552C2×D11116yescomplemented
943#551—1116no—
944#551—1116no—
945#551—1116no—
946#551—1116no—
947#551—1116no—
948#551—1116no—
949#551—1116no—
950#551—1116no—
951#543—1116no—
952#539—1116no—
953#539—1116no—
954#539—1116no—
955#539—1116no—
956#534—1116no—
957#529—1116no—
958#529—1116no—
959#529—1116no—
960#529—1116no—
961C2×#126—111no—
962C2×#126—111no—
963C2×#126—111no—
964C2×#126—111no—
965C2×#126—111no—
966C2×#126—111no—
967C2×#126—111no—
968C2×#126—111no—
969C2×#126—111no—
970C2×#126—111no—
971C2×#126—111no—
972C2×#126—111no—
973C2×#126—111no—
974C2×#126—111no—
975C2×#126C2×D1111yescharacteristic, complemented
976C2×#126C2×D1111yescharacteristic, complemented
977C2×#125—111no—
978C2×#125—111no—
979C2×#125—111no—
980C2×#125—111no—
981C2×#125—111no—
982C2×#125—111no—
983C2×#125—111no—
984C2×#125—111no—
985C2×#125—111no—
986C2×#125C2×D1111yescharacteristic, complemented
987C2×#125C2×D1111yescharacteristic, complemented
988C2×#125C2×D1111yescharacteristic, complemented
989C2×#124—111no—
990C2×#124—111no—
991C2×#124—111no—
992C2×#124—111no—
993C2×#123—111no—
994C2×#123—111no—
995C2×#123—111no—
996C2×#123—111no—
997C2×#123—1116no—
998C2×#123—111no—
999C2×#123—111no—
1000C2×#123—111no—
1001C2×#123—111no—
1002C2×#123—111no—
1003C2×#123—111no—
1004C2×#123—111no—
1005C2×#123—111no—
1006C2×#123—111no—
1007C2×#123—111no—
1008C2×#123—111no—
1009C2×#123—111no—
1010C2×#123—111no—
1011C2×#123—111no—
1012C2×#123—111no—
1013C2×#123—111no—
1014C2×#123—1116no—
1015C2×#123—111no—
1016C2×#123—111no—
1017C2×#123—111no—
1018C2×#123—111no—
1019C2×#123—111no—
1020C2×#123—111no—
1021C2×#123C2×D1111yescharacteristic
1022C2×#123C2×D1111yescharacteristic
1023C2×C22⋊Q8—111no—
1024C2×C22⋊Q8—111no—
1025C2×C22⋊Q8—111no—
1026C2×C22⋊Q8—111no—
1027C2×C22⋊Q8—111no—
1028C2×C22⋊Q8—111no—
1029C2×C22⋊Q8—111no—
1030C2×C22⋊Q8—111no—
1031C2×C22⋊Q8—111no—
1032C2×C22⋊Q8—111no—
1033C2×C22⋊Q8—111no—
1034C2×C22⋊Q8—111no—
1035C2×C22⋊Q8—111no—
1036C2×C22⋊Q8—111no—
1037C2×C22⋊Q8—111no—
1038C2×C22⋊Q8—111no—
1039C2×C22⋊Q8—111no—
1040C2×C22⋊Q8—111no—
1041C2×C22⋊Q8C2×D1111yescharacteristic, complemented
1042C2×C22⋊Q8C2×D1111yescharacteristic, complemented
1043C2×#121—111no—
1044C2×#121—111no—
1045C2×#121—111no—
1046C2×#121—111no—
1047C2×#120—111no—
1048C2×#120—111no—
1049C2×#120—111no—
1050C2×#120—111no—
1051#518—1116no—
1052#518—1116no—
1053C2×C4×Q8—111no—
1054C2×C4×Q8—111no—
1055C2×C4×Q8—111no—
1056C2×C4×Q8C2×D1111yescharacteristic, complemented
1057C2×C4×D4—111no—
1058C2×C4×D4—111no—
1059C2×C4×D4—111no—
1060C2×C4×D4—111no—
1061C2×C4×D4—111no—
1062C2×C4×D4—111no—
1063C2×C4×D4—111no—
1064C2×C4×D4—111no—
1065C2×C4×D4—111no—
1066C2×C4×D4—111no—
1067C2×C4×D4—111no—
1068C2×C4×D4—111no—
1069C2×C4×D4—111no—
1070C2×C4×D4—111no—
1071C2×C4×D4—111no—
1072C2×C4×D4—111no—
1073C2×C4×D4—111no—
1074C2×C4×D4—111no—
1075C2×C4×D4—111no—
1076C2×C4×D4C2×D1111yescharacteristic
1077C2×#117—111no—
1078C2×#117—111no—
1079C2×#117—1116no—
1080C2×#117—111no—
1081C2×#117—111no—
1082C2×#117—111no—
1083C2×#117—111no—
1084C2×#117—111no—
1085C2×#117—111no—
1086C2×#117—111no—
1087C2×#117—111no—
1088C2×#117—111no—
1089C2×#117—111no—
1090C2×#117—111no—
1091C2×#117—111no—
1092C2×#117—111no—
1093C2×#117—111no—
1094C2×#117—111no—
1095C2×#117C2×D1111yescharacteristic, complemented
1096C2×#117C2×D1111yescharacteristic, complemented
1097C2×#117C2×D1111yescharacteristic, complemented
1098C22×C4⋊C4—111no—
1099C22×C4⋊C4—111no—
1100C22×C4⋊C4—111no—
1101C22×C4⋊C4—111no—
1102C22×C4⋊C4—111no—
1103C22×C4⋊C4C2×D1111yescharacteristic, complemented
1104C22×C22⋊C4—111no—
1105C22×C22⋊C4—111no—
1106C22×C22⋊C4—111no—
1107C22×C22⋊C4—111no—
1108C22×C22⋊C4—111no—
1109C22×C22⋊C4—111no—
1110C22×C22⋊C4—111no—
1111C22×C22⋊C4—111no—
1112C22×C22⋊C4—111no—
1113C22×C22⋊C4—111no—
1114C22×C22⋊C4—111no—
1115C22×C22⋊C4—111no—
1116C22×C42—111no—
1117C22×C42—111no—
1118C22×C11—22no—
1119C22×C11—22no—
1120C22×C11—28no—
1121C22×C11—22no—
1122C22×C11—22no—
1123C22×C11—22no—
1124C22×C11—44no—
1125C22×C11C22×#4114yes—
1126C22×C11C22×#4112yes—
1127C22×C11#58512yes—
1128C22×C11#58512yes—
1129C22×C11C2611yescharacteristic
1130C2×D11—22no—
1131C2×D11—22no—
1132C2×D11—22no—
1133C2×D11—22no—
1134C2×D11—28no—
1135C2×D11—28no—
1136C2×D11—22no—
1137C2×D11—22no—
1138C2×D11—22no—
1139C2×D11—22no—
1140C2×D11—22no—
1141C2×D11—22no—
1142C2×D11—22no—
1143C2×D11—22no—
1144C2×D11—22no—
1145C2×D11—416no—
1146C2×D11—44no—
1147C2×D11—44no—
1148C2×D11—44no—
1149C2×D11—88no—
1150C2×D11—88no—
1151C2×D11C22×#4114yes—
1152C2×D11C22×#4114yes—
1153C4×C11—22no—
1154C4×C11—22no—
1155C4×C11—22no—
1156C4×C11—22no—
1157C4×C11—22no—
1158C4×C11—22no—
1159C4×C11—22no—
1160C4×C11—22no—
1161C4×C11—22no—
1162C4×C11—22no—
1163C4×C11—22no—
1164C4×C11—22no—
1165C4×C11—22no—
1166Dic11—22no—
1167Dic11—22no—
1168Dic11—22no—
1169Dic11—22no—
1170Dic11—22no—
1171Dic11—22no—
1172Dic11—22no—
1173Dic11—22no—
1174Dic11—22no—
1175Dic11—22no—
1176Dic11—22no—
1177C25—111no—
1178C25—111no—
1179C25—111no—
1180C22×Q8—111no—
1181C22×Q8—111no—
1182C22×Q8—111no—
1183C22×Q8C22×D1111yescharacteristic
1184C22×D4—111no—
1185C22×D4—111no—
1186C22×D4—111no—
1187C22×D4—111no—
1188C22×D4—118no—
1189C22×D4—111no—
1190C22×D4—111no—
1191C22×D4—111no—
1192C22×D4—111no—
1193C22×D4—111no—
1194C22×D4—118no—
1195C22×D4—111no—
1196C22×D4—111no—
1197C22×D4—228no—
1198C22×D4—228no—
1199C22×D4C22×D1111yescharacteristic
1200C23×C4—111no—
1201C23×C4—111no—
1202C23×C4—111no—
1203C23×C4—111no—
1204C23×C4—111no—
1205C23×C4—111no—
1206C23×C4—111no—
1207C23×C4—118no—
1208C23×C4—111no—
1209C23×C4—111no—
1210C23×C4—111no—
1211C23×C4—111no—
1212C23×C4—111no—
1213C23×C4—111no—
1214C23×C4—111no—
1215C23×C4—111no—
1216C23×C4—111no—
1217C23×C4—111no—
1218C23×C4—111no—
1219C23×C4—111no—
1220C23×C4—111no—
1221C23×C4—228no—
1222C23×C4C22×D1111yescharacteristic
1223C23×C4C22×D1111yescharacteristic
1224C23×C4C22×D1111yescharacteristic
1225C23×C4C22×D1111yescharacteristic
1226#126—118no—
1227#126—118no—
1228#126—118no—
1229#126—118no—
1230#126—118no—
1231#126—118no—
1232#126—118no—
1233#126—118no—
1234#126—118no—
1235#126—118no—
1236#126—118no—
1237#126—118no—
1238#126—118no—
1239#126—118no—
1240#126C22×D1118yescomplemented
1241#126C22×D1118yescomplemented
1242#125—118no—
1243#125—118no—
1244#125—118no—
1245#125—118no—
1246#125—118no—
1247#125—118no—
1248#125—118no—
1249#125—118no—
1250#125—118no—
1251#125C22×D1118yescomplemented
1252#125C22×D1118yescomplemented
1253#125C22×D1118yescomplemented
1254#124—118no—
1255#124—118no—
1256#124—118no—
1257#124—118no—
1258#123—118no—
1259#123—118no—
1260#123—118no—
1261#123—118no—
1262#123—118no—
1263#123—118no—
1264#123—118no—
1265#123—118no—
1266#123—118no—
1267#123—118no—
1268#123—118no—
1269#123—118no—
1270#123—118no—
1271#123—118no—
1272#123—118no—
1273#123—118no—
1274#123—118no—
1275#123—118no—
1276#123—118no—
1277#123—118no—
1278#123—118no—
1279#123—118no—
1280#123—118no—
1281#123—118no—
1282#123—118no—
1283#123—118no—
1284#123C22×D1118yes—
1285#123C22×D1118yes—
1286C22⋊Q8—118no—
1287C22⋊Q8—118no—
1288C22⋊Q8—118no—
1289C22⋊Q8—118no—
1290C22⋊Q8—118no—
1291C22⋊Q8—118no—
1292C22⋊Q8—118no—
1293C22⋊Q8—118no—
1294C22⋊Q8—118no—
1295C22⋊Q8—118no—
1296C22⋊Q8—118no—
1297C22⋊Q8—118no—
1298C22⋊Q8—118no—
1299C22⋊Q8—118no—
1300C22⋊Q8—118no—
1301C22⋊Q8—118no—
1302C22⋊Q8—118no—
1303C22⋊Q8—118no—
1304C22⋊Q8C22×D1118yescomplemented
1305C22⋊Q8C22×D1118yescomplemented
1306#121—118no—
1307#121—118no—
1308#121—118no—
1309#121—118no—
1310#120—118no—
1311#120—118no—
1312#120—118no—
1313#120—118no—
1314C4×Q8—118no—
1315C4×Q8—118no—
1316C4×Q8—118no—
1317C4×Q8C22×D1118yescomplemented
1318C4×D4—118no—
1319C4×D4—118no—
1320C4×D4—118no—
1321C4×D4—118no—
1322C4×D4—118no—
1323C4×D4—118no—
1324C4×D4—118no—
1325C4×D4—118no—
1326C4×D4—118no—
1327C4×D4—118no—
1328C4×D4—118no—
1329C4×D4—118no—
1330C4×D4—118no—
1331C4×D4—118no—
1332C4×D4—118no—
1333C4×D4—118no—
1334C4×D4—118no—
1335C4×D4—118no—
1336C4×D4—118no—
1337C4×D4C22×D1118yes—
1338#117—118no—
1339#117—118no—
1340#117—118no—
1341#117—118no—
1342#117—118no—
1343#117—118no—
1344#117—118no—
1345#117—118no—
1346#117—118no—
1347#117—118no—
1348#117—118no—
1349#117—118no—
1350#117—118no—
1351#117—118no—
1352#117—118no—
1353#117—118no—
1354#117—118no—
1355#117C22×D1118yescomplemented
1356#117C22×D1118yescomplemented
1357#117C22×D1118yescomplemented
1358C2×C4⋊C4—111no—
1359C2×C4⋊C4—111no—
1360C2×C4⋊C4—111no—
1361C2×C4⋊C4—111no—
1362C2×C4⋊C4—111no—
1363C2×C4⋊C4—111no—
1364C2×C4⋊C4—111no—
1365C2×C4⋊C4—111no—
1366C2×C4⋊C4—111no—
1367C2×C4⋊C4—111no—
1368C2×C4⋊C4—111no—
1369C2×C4⋊C4—111no—
1370C2×C4⋊C4—111no—
1371C2×C4⋊C4—111no—
1372C2×C4⋊C4—111no—
1373C2×C4⋊C4—111no—
1374C2×C4⋊C4—118no—
1375C2×C4⋊C4—111no—
1376C2×C4⋊C4—111no—
1377C2×C4⋊C4—111no—
1378C2×C4⋊C4—111no—
1379C2×C4⋊C4—111no—
1380C2×C4⋊C4—111no—
1381C2×C4⋊C4—111no—
1382C2×C4⋊C4—111no—
1383C2×C4⋊C4—111no—
1384C2×C4⋊C4—111no—
1385C2×C4⋊C4—111no—
1386C2×C4⋊C4—111no—
1387C2×C4⋊C4—111no—
1388C2×C4⋊C4—111no—
1389C2×C4⋊C4—111no—
1390C2×C4⋊C4—111no—
1391C2×C4⋊C4—118no—
1392C2×C4⋊C4—118no—
1393C2×C4⋊C4—118no—
1394C2×C4⋊C4—118no—
1395C2×C4⋊C4C22×D1111yescharacteristic
1396C2×C4⋊C4C22×D1111yescharacteristic
1397C2×C4⋊C4C22×D1111yescharacteristic
1398C2×C4⋊C4C22×D1111yescharacteristic
1399C2×C4⋊C4C22×D1111yescharacteristic
1400C2×C4⋊C4C22×D1111yescharacteristic
1401C2×C4⋊C4C22×D1111yescharacteristic
1402C2×C4⋊C4C22×D1111yescharacteristic
1403C2×C4⋊C4C22×D1111yescharacteristic
1404C2×C4⋊C4C22×D1111yescharacteristic
1405C2×C4⋊C4C22×D1111yescharacteristic
1406C2×C4⋊C4C22×D1111yescharacteristic
1407C2×C4⋊C4C22×D1111yescharacteristic
1408C2×C4⋊C4C22×D1111yescharacteristic
1409C2×C4⋊C4C22×D1111yescharacteristic
1410C2×C4⋊C4C22×D1111yescharacteristic
1411C2×C4⋊C4C22×D1118yescomplemented
1412C2×C22⋊C4—111no—
1413C2×C22⋊C4—111no—
1414C2×C22⋊C4—111no—
1415C2×C22⋊C4—111no—
1416C2×C22⋊C4—111no—
1417C2×C22⋊C4—111no—
1418C2×C22⋊C4—111no—
1419C2×C22⋊C4—111no—
1420C2×C22⋊C4—111no—
1421C2×C22⋊C4—111no—
1422C2×C22⋊C4—111no—
1423C2×C22⋊C4—111no—
1424C2×C22⋊C4—111no—
1425C2×C22⋊C4—111no—
1426C2×C22⋊C4—111no—
1427C2×C22⋊C4—111no—
1428C2×C22⋊C4—111no—
1429C2×C22⋊C4—111no—
1430C2×C22⋊C4—111no—
1431C2×C22⋊C4—111no—
1432C2×C22⋊C4—111no—
1433C2×C22⋊C4—111no—
1434C2×C22⋊C4—111no—
1435C2×C22⋊C4—111no—
1436C2×C22⋊C4—111no—
1437C2×C22⋊C4—111no—
1438C2×C22⋊C4—111no—
1439C2×C22⋊C4—111no—
1440C2×C22⋊C4—118no—
1441C2×C22⋊C4—118no—
1442C2×C22⋊C4—111no—
1443C2×C22⋊C4—111no—
1444C2×C22⋊C4—111no—
1445C2×C22⋊C4—111no—
1446C2×C22⋊C4—111no—
1447C2×C22⋊C4—111no—
1448C2×C22⋊C4—118no—
1449C2×C22⋊C4—118no—
1450C2×C22⋊C4—111no—
1451C2×C22⋊C4—111no—
1452C2×C22⋊C4—111no—
1453C2×C22⋊C4—111no—
1454C2×C22⋊C4—111no—
1455C2×C22⋊C4—111no—
1456C2×C22⋊C4—118no—
1457C2×C22⋊C4—118no—
1458C2×C22⋊C4—118no—
1459C2×C22⋊C4—118no—
1460C2×C22⋊C4—118no—
1461C2×C22⋊C4—118no—
1462C2×C22⋊C4—118no—
1463C2×C22⋊C4—118no—
1464C2×C22⋊C4C22×D1111yescharacteristic
1465C2×C22⋊C4C22×D1111yescharacteristic
1466C2×C22⋊C4C22×D1111yescharacteristic
1467C2×C22⋊C4C22×D1111yescharacteristic
1468C2×C22⋊C4C22×D1111yescharacteristic
1469C2×C22⋊C4C22×D1111yescharacteristic
1470C2×C22⋊C4C22×D1111yescharacteristic
1471C2×C22⋊C4C22×D1111yescharacteristic
1472C2×C42—111no—
1473C2×C42—111no—
1474C2×C42—111no—
1475C2×C42—111no—
1476C2×C42—111no—
1477C2×C42—111no—
1478C2×C42—111no—
1479C2×C42—111no—
1480C2×C42—111no—
1481C2×C42—111no—
1482C2×C42—111no—
1483C2×C42—118no—
1484C2×C42—118no—
1485C2×C42C22×D1111yescharacteristic
1486C2×C42C22×D1111yescharacteristic
1487C2×C42C22×D1111yescharacteristic
1488C2×C42C22×D1111yescharacteristic
1489C2×C42C22×D1111yescharacteristic
1490C2×C11—24no—
1491C2×C11—42no—
1492C2×C11#349114yescomplemented
1493C2×C11C23×#4111yescharacteristic
1494C2×C11C2×#58511yescharacteristic
1495C2×C11C2×#58511yescharacteristic
1496D11—24no—
1497D11—24no—
1498D11—42no—
1499D11—42no—
1500D11—42no—
1501C24—111no—
1502C24—111no—
1503C24—118no—
1504C24—114no—
1505C24—111no—
1506C24—111no—
1507C24—111no—
1508C24—114no—
1509C24—114no—
1510C24—224no—
1511C24—224no—
1512C24—442no—
1513C24—442no—
1514C24—442no—
1515C24—442no—
1516C24—442no—
1517C24—442no—
1518C24C23×D1111yescharacteristic
1519C24C23×D1111yescharacteristic
1520C2×Q8—42no—
1521C2×Q8—114no—
1522C2×Q8—114no—
1523C2×Q8—114no—
1524C2×Q8—442no—
1525C2×Q8—442no—
1526C2×Q8—442no—
1527C2×Q8C23×D1114yes—
1528C2×D4—24no—
1529C2×D4—114no—
1530C2×D4—114no—
1531C2×D4—114no—
1532C2×D4—114no—
1533C2×D4—114no—
1534C2×D4—114no—
1535C2×D4—114no—
1536C2×D4—114no—
1537C2×D4—114no—
1538C2×D4—114no—
1539C2×D4—114no—
1540C2×D4—224no—
1541C2×D4—224no—
1542C2×D4—224no—
1543C2×D4—224no—
1544C2×D4—2232no—
1545C2×D4—224no—
1546C2×D4—2232no—
1547C2×D4—224no—
1548C2×D4—224no—
1549C2×D4—442no—
1550C2×D4—442no—
1551C2×D4—442no—
1552C2×D4—442no—
1553C2×D4C23×D1114yes—
1554C22×C4—24no—
1555C22×C4—24no—
1556C22×C4—42no—
1557C22×C4—42no—
1558C22×C4—114no—
1559C22×C4—111no—
1560C22×C4—111no—
1561C22×C4—111no—
1562C22×C4—111no—
1563C22×C4—111no—
1564C22×C4—111no—
1565C22×C4—111no—
1566C22×C4—111no—
1567C22×C4—111no—
1568C22×C4—111no—
1569C22×C4—111no—
1570C22×C4—114no—
1571C22×C4—114no—
1572C22×C4—114no—
1573C22×C4—114no—
1574C22×C4—114no—
1575C22×C4—114no—
1576C22×C4—114no—
1577C22×C4—114no—
1578C22×C4—114no—
1579C22×C4—114no—
1580C22×C4—114no—
1581C22×C4—114no—
1582C22×C4—114no—
1583C22×C4—114no—
1584C22×C4—114no—
1585C22×C4—114no—
1586C22×C4—114no—
1587C22×C4—114no—
1588C22×C4—114no—
1589C22×C4—224no—
1590C22×C4—224no—
1591C22×C4—224no—
1592C22×C4—224no—
1593C22×C4—2232no—
1594C22×C4—224no—
1595C22×C4—224no—
1596C22×C4—442no—
1597C22×C4—442no—
1598C22×C4—442no—
1599C22×C4—442no—
1600C22×C4—442no—
1601C22×C4—442no—
1602C22×C4—442no—
1603C22×C4—442no—
1604C22×C4—442no—
1605C22×C4—442no—
1606C22×C4—442no—
1607C22×C4—442no—
1608C22×C4—442no—
1609C22×C4—442no—
1610C22×C4C23×D1114yes—
1611C22×C4C23×D1114yes—
1612C22×C4C23×D1111yescharacteristic
1613C22×C4C23×D1111yescharacteristic
1614C22×C4C23×D1111yescharacteristic
1615C22×C4C23×D1111yescharacteristic
1616C22×C4C23×D1111yescharacteristic
1617C22×C4C23×D1111yescharacteristic
1618C22×C4C23×D1111yescharacteristic
1619C22×C4C23×D1111yescharacteristic
1620C22×C4C23×D1111yescharacteristic
1621C22×C4C23×D1111yescharacteristic
1622C22×C4C23×D1111yescharacteristic
1623C22×C4C23×D1111yescharacteristic
1624C22×C4C23×D1111yescharacteristic
1625C22×C4C23×D1114yes—
1626C22×C4C23×D1114yes—
1627C4⋊C4—114no—
1628C4⋊C4—114no—
1629C4⋊C4—114no—
1630C4⋊C4—114no—
1631C4⋊C4—114no—
1632C4⋊C4—114no—
1633C4⋊C4—114no—
1634C4⋊C4—114no—
1635C4⋊C4—114no—
1636C4⋊C4—114no—
1637C4⋊C4—114no—
1638C4⋊C4—114no—
1639C4⋊C4—114no—
1640C4⋊C4—114no—
1641C4⋊C4—114no—
1642C4⋊C4—114no—
1643C4⋊C4—114no—
1644C4⋊C4—114no—
1645C4⋊C4—114no—
1646C4⋊C4—114no—
1647C4⋊C4—114no—
1648C4⋊C4—114no—
1649C4⋊C4—114no—
1650C4⋊C4—114no—
1651C4⋊C4—114no—
1652C4⋊C4—114no—
1653C4⋊C4—114no—
1654C4⋊C4—114no—
1655C4⋊C4—114no—
1656C4⋊C4—114no—
1657C4⋊C4—114no—
1658C4⋊C4—114no—
1659C4⋊C4C23×D1114yes—
1660C4⋊C4C23×D1114yes—
1661C4⋊C4C23×D1114yes—
1662C4⋊C4C23×D1114yes—
1663C4⋊C4C23×D1114yes—
1664C4⋊C4C23×D1114yes—
1665C4⋊C4C23×D1114yes—
1666C4⋊C4C23×D1114yes—
1667C4⋊C4C23×D1114yes—
1668C4⋊C4C23×D1114yes—
1669C4⋊C4C23×D1114yes—
1670C4⋊C4C23×D1114yes—
1671C4⋊C4C23×D1114yes—
1672C4⋊C4C23×D1114yes—
1673C4⋊C4C23×D1114yes—
1674C4⋊C4C23×D1114yes—
1675C22⋊C4—114no—
1676C22⋊C4—114no—
1677C22⋊C4—114no—
1678C22⋊C4—114no—
1679C22⋊C4—114no—
1680C22⋊C4—114no—
1681C22⋊C4—114no—
1682C22⋊C4—114no—
1683C22⋊C4—114no—
1684C22⋊C4—114no—
1685C22⋊C4—114no—
1686C22⋊C4—114no—
1687C22⋊C4—114no—
1688C22⋊C4—114no—
1689C22⋊C4—114no—
1690C22⋊C4—114no—
1691C22⋊C4—114no—
1692C22⋊C4—114no—
1693C22⋊C4—114no—
1694C22⋊C4—114no—
1695C22⋊C4—114no—
1696C22⋊C4—114no—
1697C22⋊C4—114no—
1698C22⋊C4—114no—
1699C22⋊C4—114no—
1700C22⋊C4—114no—
1701C22⋊C4—114no—
1702C22⋊C4—114no—
1703C22⋊C4—114no—
1704C22⋊C4—114no—
1705C22⋊C4—114no—
1706C22⋊C4—114no—
1707C22⋊C4—114no—
1708C22⋊C4—114no—
1709C22⋊C4—114no—
1710C22⋊C4—114no—
1711C22⋊C4—114no—
1712C22⋊C4—114no—
1713C22⋊C4—114no—
1714C22⋊C4—114no—
1715C22⋊C4C23×D1114yes—
1716C22⋊C4C23×D1114yes—
1717C22⋊C4C23×D1114yes—
1718C22⋊C4C23×D1114yes—
1719C22⋊C4C23×D1114yes—
1720C22⋊C4C23×D1114yes—
1721C22⋊C4C23×D1114yes—
1722C22⋊C4C23×D1114yes—
1723C42—114no—
1724C42—114no—
1725C42—114no—
1726C42—114no—
1727C42—114no—
1728C42—114no—
1729C42—114no—
1730C42—114no—
1731C42—114no—
1732C42—114no—
1733C42—114no—
1734C42C23×D1114yes—
1735C42C23×D1114yes—
1736C42C23×D1114yes—
1737C42C23×D1114yes—
1738C42C23×D1114yes—
1739C11C2×#349111yescharacteristic, complemented, Sylow
1740C23—22no—
1741C23—22no—
1742C23—22no—
1743C23—22no—
1744C23—22no—
1745C23—114no—
1746C23—114no—
1747C23—112no—
1748C23—112no—
1749C23—1116no—
1750C23—112no—
1751C23—112no—
1752C23—112no—
1753C23—228no—
1754C23—222no—
1755C23—222no—
1756C23—222no—
1757C23—222no—
1758C23—222no—
1759C23—222no—
1760C23—222no—
1761C23—222no—
1762C23—222no—
1763C23—222no—
1764C23—222no—
1765C23—222no—
1766C23—222no—
1767C23—228no—
1768C23—444no—
1769C23—444no—
1770C23—4416no—
1771C23—444no—
1772C23—444no—
1773C23—444no—
1774C23—444no—
1775C23—888no—
1776C23—888no—
1777C23#41×D1114yes—
1778C23C24×D1112yes—
1779C23C24×D1112yes—
1780C23C24×D1111yescharacteristic
1781Q8—44no—
1782Q8—444no—
1783Q8—444no—
1784Q8—444no—
1785D4—28no—
1786D4—228no—
1787D4—228no—
1788D4—228no—
1789D4—228no—
1790D4—228no—
1791D4—228no—
1792D4—228no—
1793D4—444no—
1794D4—444no—
1795D4—444no—
1796D4—444no—
1797C2×C4—28no—
1798C2×C4—22no—
1799C2×C4—22no—
1800C2×C4—28no—
1801C2×C4—22no—
1802C2×C4—22no—
1803C2×C4—22no—
1804C2×C4—22no—
1805C2×C4—22no—
1806C2×C4—22no—
1807C2×C4—22no—
1808C2×C4—22no—
1809C2×C4—22no—
1810C2×C4—22no—
1811C2×C4—22no—
1812C2×C4—44no—
1813C2×C4—44no—
1814C2×C4—112no—
1815C2×C4—112no—
1816C2×C4—112no—
1817C2×C4—112no—
1818C2×C4—112no—
1819C2×C4—112no—
1820C2×C4—112no—
1821C2×C4—112no—
1822C2×C4—112no—
1823C2×C4—112no—
1824C2×C4—112no—
1825C2×C4—228no—
1826C2×C4—228no—
1827C2×C4—228no—
1828C2×C4—228no—
1829C2×C4—228no—
1830C2×C4—228no—
1831C2×C4—222no—
1832C2×C4—222no—
1833C2×C4—222no—
1834C2×C4—222no—
1835C2×C4—222no—
1836C2×C4—222no—
1837C2×C4—222no—
1838C2×C4—222no—
1839C2×C4—222no—
1840C2×C4—222no—
1841C2×C4—222no—
1842C2×C4—444no—
1843C2×C4—444no—
1844C2×C4—444no—
1845C2×C4—444no—
1846C2×C4—444no—
1847C2×C4—444no—
1848C2×C4—444no—
1849C2×C4—444no—
1850C2×C4—444no—
1851C2×C4—444no—
1852C2×C4—444no—
1853C2×C4—444no—
1854C2×C4—444no—
1855C2×C4—444no—
1856C2×C4C24×D1112yes—
1857C2×C4C24×D1112yes—
1858C2×C4C24×D1112yes—
1859C2×C4C24×D1112yes—
1860C2×C4C24×D1112yes—
1861C2×C4C24×D1112yes—
1862C2×C4C24×D1112yes—
1863C2×C4C24×D1112yes—
1864C2×C4C24×D1112yes—
1865C2×C4C24×D1112yes—
1866C2×C4C24×D1112yes—
1867C2×C4C24×D1112yes—
1868C2×C4C24×D1112yes—
1869C22—22no—
1870C22—22no—
1871C22—28no—
1872C22—22no—
1873C22—22no—
1874C22—22no—
1875C22—44no—
1876C22—114no—
1877C22—114no—
1878C22—222no—
1879C22—222no—
1880C22—222no—
1881C22—222no—
1882C22—228no—
1883C22—228no—
1884C22—222no—
1885C22—222no—
1886C22—222no—
1887C22—222no—
1888C22—222no—
1889C22—222no—
1890C22—222no—
1891C22—222no—
1892C22—222no—
1893C22—4416no—
1894C22—444no—
1895C22—444no—
1896C22—444no—
1897C22—888no—
1898C22—888no—
1899C22C2×#41×D1114yes—
1900C22C2×#41×D1112yes—
1901C22#1062345312yes—
1902C22#1062345712yes—
1903C22C25×D1111yescharacteristic
1904C4—22no—
1905C4—22no—
1906C4—22no—
1907C4—22no—
1908C4—22no—
1909C4—22no—
1910C4—22no—
1911C4—22no—
1912C4—22no—
1913C4—22no—
1914C4—22no—
1915C4—22no—
1916C4—22no—
1917C4—222no—
1918C4—222no—
1919C4—222no—
1920C4—222no—
1921C4—222no—
1922C4—222no—
1923C4—222no—
1924C4—222no—
1925C4—222no—
1926C4—222no—
1927C4—222no—
1928C2—24no—
1929C2—42no—
1930C2—224no—
1931C2—224no—
1932C2—442no—
1933C2—442no—
1934C2—442no—
1935C2#1308231114yesdirect product factor
1936C2C22×#41×D1111yescharacteristic
1937C2C2×#1062345311yescharacteristic
1938C2C2×#1062345711yescharacteristic
subgroupG/H
centerC23C24×D11
commutator, cosocleC22×C11C26
FrattiniC22C25×D11
FittingC2×C11×#552C2
socleC23×C11C25
prime radicalC2×#10623184C2
hypercenterC2×#552D11
hypocenterC11C2×#3491
LCSG ▷ C22×C11 ▷ C11
UCSC1 ◁ C23 ◁ C2×#552

Complements

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

NH ≅ G/Ntype
1. #13082311C2direct (N × H)
2. C2×#10623112C2semidirect
3. C2×#10623225C2semidirect
4. C2×#10623181C2semidirect
5. C2×#10623044C2semidirect
6. C2×#10623062C2semidirect
7. C2×#10623224C2semidirect
8. C2×#10623224C2semidirect
9. C2×#10623087C2semidirect
10. C2×#10623168C2semidirect
11. C2×#10623168C2semidirect
12. C2×#10623236C2semidirect
13. C2×#10623236C2semidirect
14. C2×#10623058C2semidirect
15. C2×#10623058C2semidirect
16. C2×#10623189C2semidirect
17. C2×#10623165C2semidirect
18. C2×#10623223C2semidirect
19. C2×#10623223C2semidirect
20. C2×#10623169C2semidirect
21. C2×#10623238C2semidirect
23. C2×#10623111C2semidirect
24. C2×#10623222C2semidirect
25. C2×#10623237C2semidirect
26. C2×#10623059C2semidirect
27. C22×#66947C2semidirect
28. C2×D11×#123C2semidirect
29. C2×#10623052C2semidirect
30. C2×#10623076C2semidirect
31. C2×D11×#117C2semidirect
32. C2×C11×#552C2semidirect
36. C11×#552C22semidirect
37. C2×C11×#126C22semidirect
38. C2×C11×#126C22semidirect
39. C2×C11×#125C22semidirect
40. C2×C11×#125C22semidirect
41. C2×C11×#125C22semidirect
44. C2×C11×C22⋊Q8C22semidirect
45. C2×C11×C22⋊Q8C22semidirect
46. C2×C4×Q8×C11C22semidirect
48. C2×C11×#117C22semidirect
49. C2×C11×#117C22semidirect
50. C2×C11×#117C22semidirect
51. C22×C11×C4⋊C4C22semidirect
52. C2×#67000C22semidirect
53. C2×#66999C22semidirect
54. C2×#66999C22semidirect
55. C2×#66999C22semidirect
61. C2×#66982C22semidirect
63. C2×C4×C22⋊D11C22semidirect
64. C2×C4×C22⋊D11C22semidirect
66. C22×(C2×D11)⋊C4C22semidirect
67. C22×(C2×D11)⋊C4C22semidirect
68. C22×(C2×D11)⋊C4C22semidirect
69. C2×#66979C22semidirect
70. C2×#66979C22semidirect
71. C2×#66977C22semidirect
72. C22×Dic11⋊C4C22semidirect
73. #10623238C22semidirect
74. #10623237C22semidirect
75. #10623236C22semidirect
76. #10623236C22semidirect
77. #10623225C22semidirect
78. #10623224C22semidirect
79. #10623224C22semidirect
80. #10623223C22semidirect
81. #10623223C22semidirect
82. #10623222C22semidirect
83. #10623189C22semidirect
85. D11×#123C22semidirect
86. #10623181C22semidirect
87. #10623169C22semidirect
88. #10623168C22semidirect
89. #10623168C22semidirect
90. #10623165C22semidirect
91. #10623112C22semidirect
92. #10623111C22semidirect
93. #10623087C22semidirect
94. #10623076C22semidirect
95. #10623062C22semidirect
96. #10623059C22semidirect
97. #10623058C22semidirect
98. #10623058C22semidirect
99. #10623052C22semidirect
100. D11×#117C22semidirect
101. #10623044C22semidirect
102. C2×#66951C22semidirect
103. C2×#66951C22semidirect
104. C2×#66951C22semidirect
105. C2×#66951C22semidirect
106. C2×#66951C22semidirect
107. C2×#66951C22semidirect
108. C2×#66951C22semidirect
109. C2×#66951C22semidirect
110. C2×#66951C22semidirect
111. C2×#66950C22semidirect
112. C2×#66950C22semidirect
113. C2×#66950C22semidirect
114. C2×#66950C22semidirect
115. C2×#66949C22semidirect
116. C2×#66949C22semidirect
117. C2×#66949C22semidirect
118. C2×#66949C22semidirect
119. C2×#66949C22semidirect
120. C2×#66949C22semidirect
121. C2×#66949C22semidirect
130. C2×#66947C22semidirect
131. C2×#66947C22semidirect
132. C2×#66947C22semidirect
133. C2×#66947C22semidirect
134. C2×#66947C22semidirect
135. C2×#66947C22semidirect
136. C2×#66947C22semidirect
137. C2×#66947C22semidirect
138. C2×#66947C22semidirect
139. C2×#66947C22semidirect
140. C2×#66947C22semidirect
143. C2×#66946C22semidirect
144. C2×#66946C22semidirect
145. C2×#66946C22semidirect
146. C2×#66946C22semidirect
147. C2×#66945C22semidirect
148. C2×#66945C22semidirect
149. C2×#66945C22semidirect
150. C2×#66945C22semidirect
151. C2×#66945C22semidirect
152. C2×#66945C22semidirect
153. C2×C4⋊C4×D11C22semidirect
154. C2×C4⋊C4×D11C22semidirect
155. C2×C4⋊C4×D11C22semidirect
156. C2×C4⋊C4×D11C22semidirect
157. C2×#66943C22semidirect
158. C2×#66943C22semidirect
159. C2×#66942C22semidirect
160. C2×#66942C22semidirect
161. C2×#66942C22semidirect
162. C2×#66942C22semidirect
163. C2×#66942C22semidirect
164. C2×#66942C22semidirect
165. C2×#66940C22semidirect
166. C2×#66940C22semidirect
168. C2×#66939C22semidirect
169. C2×#66938C22semidirect
170. C2×#66938C22semidirect
173. C2×#66936C22semidirect
174. C2×#66936C22semidirect
175. C2×#66936C22semidirect
176. C2×#66936C22semidirect
181. C2×(C22⋊D11)⋊C4C22semidirect
182. C2×(C22⋊D11)⋊C4C22semidirect
186. C2×C22⋊C4×D11C22semidirect
187. C2×C22⋊C4×D11C22semidirect
188. C2×C22⋊C4×D11C22semidirect
189. C2×C22⋊C4×D11C22semidirect
190. C2×C22⋊C4×D11C22semidirect
191. C2×#66932C22semidirect
192. C2×#66932C22semidirect
193. C2×#66931C22semidirect
194. C2×#66931C22semidirect
195. C2×#66931C22semidirect
196. C2×#66930C22semidirect
197. C2×#66930C22semidirect
198. C2×#66930C22semidirect
199. C2×#66929C22semidirect
200. C2×#66929C22semidirect
201. C2×#66929C22semidirect
202. C2×#66928C22semidirect
205. C2×C4×D44C22semidirect
206. C2×C4×D44C22semidirect
207. C2×C4×D44C22semidirect
208. C2×C4×D44C22semidirect
209. C2×#66925C22semidirect
210. C2×#66925C22semidirect
211. C2×#66925C22semidirect
212. C2×#66925C22semidirect
213. C2×#66925C22semidirect
214. C2×#66925C22semidirect
215. C2×C42×D11C22semidirect
216. C2×C42×D11C22semidirect
217. C2×#66923C22semidirect
218. C2×C4×Dic22C22semidirect
268. C11×#126C23semidirect
269. C11×#126C23semidirect
270. C11×#125C23semidirect
271. C11×#125C23semidirect
272. C11×#125C23semidirect
275. C11×C22⋊Q8C23semidirect
276. C11×C22⋊Q8C23semidirect
277. C4×Q8×C11C23semidirect
279. C11×#117C23semidirect
280. C11×#117C23semidirect
281. C11×#117C23semidirect
298. C2×C11×C4⋊C4C23semidirect
318. #67000C23semidirect
319. #66999C23semidirect
320. #66999C23semidirect
321. #66999C23semidirect
327. #66982C23semidirect
329. C4×C22⋊D11C23semidirect
330. C4×C22⋊D11C23semidirect
366. C2×(C2×D11)⋊C4C23semidirect
367. C2×(C2×D11)⋊C4C23semidirect
368. C2×(C2×D11)⋊C4C23semidirect
369. #66979C23semidirect
370. #66979C23semidirect
381. #66977C23semidirect
404. C2×Dic11⋊C4C23semidirect
416. #66951C23semidirect
417. #66951C23semidirect
418. #66951C23semidirect
419. #66951C23semidirect
420. #66951C23semidirect
421. #66951C23semidirect
422. #66951C23semidirect
423. #66951C23semidirect
424. #66951C23semidirect
425. #66950C23semidirect
426. #66950C23semidirect
427. #66950C23semidirect
428. #66950C23semidirect
429. #66949C23semidirect
430. #66949C23semidirect
431. #66949C23semidirect
432. #66949C23semidirect
433. #66949C23semidirect
434. #66949C23semidirect
435. #66949C23semidirect
444. #66947C23semidirect
445. #66947C23semidirect
446. #66947C23semidirect
447. #66947C23semidirect
448. #66947C23semidirect
449. #66947C23semidirect
450. #66947C23semidirect
451. #66947C23semidirect
452. #66947C23semidirect
453. #66947C23semidirect
456. #66946C23semidirect
457. #66946C23semidirect
458. #66946C23semidirect
459. #66946C23semidirect
460. #66945C23semidirect
461. #66945C23semidirect
462. #66945C23semidirect
463. #66945C23semidirect
464. #66945C23semidirect
465. #66945C23semidirect
466. C4⋊C4×D11C23semidirect
467. C4⋊C4×D11C23semidirect
468. C4⋊C4×D11C23semidirect
469. C4⋊C4×D11C23semidirect
470. #66943C23semidirect
471. #66943C23semidirect
472. #66942C23semidirect
473. #66942C23semidirect
474. #66942C23semidirect
475. #66942C23semidirect
476. #66942C23semidirect
477. #66942C23semidirect
478. #66940C23semidirect
479. #66940C23semidirect
481. #66939C23semidirect
482. #66938C23semidirect
483. #66938C23semidirect
486. #66936C23semidirect
487. #66936C23semidirect
488. #66936C23semidirect
489. #66936C23semidirect
494. (C22⋊D11)⋊C4C23semidirect
495. (C22⋊D11)⋊C4C23semidirect
499. C22⋊C4×D11C23semidirect
500. C22⋊C4×D11C23semidirect
501. C22⋊C4×D11C23semidirect
502. C22⋊C4×D11C23semidirect
503. C22⋊C4×D11C23semidirect
504. #66932C23semidirect
505. #66932C23semidirect
506. #66931C23semidirect
507. #66931C23semidirect
508. #66931C23semidirect
509. #66930C23semidirect
510. #66930C23semidirect
511. #66930C23semidirect
512. #66929C23semidirect
513. #66929C23semidirect
514. #66929C23semidirect
515. #66928C23semidirect
518. C4×D44C23semidirect
519. C4×D44C23semidirect
520. C4×D44C23semidirect
521. C4×D44C23semidirect
522. #66925C23semidirect
523. #66925C23semidirect
524. #66925C23semidirect
525. #66925C23semidirect
526. #66925C23semidirect
527. #66925C23semidirect
528. C42×D11C23semidirect
529. C42×D11C23semidirect
530. #66923C23semidirect
531. C4×Dic22C23semidirect
779. C2×#552D11semidirect
942. #552C2×D11semidirect
975. C2×#126C2×D11semidirect
976. C2×#126C2×D11semidirect
986. C2×#125C2×D11semidirect
987. C2×#125C2×D11semidirect
988. C2×#125C2×D11semidirect
1041. C2×C22⋊Q8C2×D11semidirect
1042. C2×C22⋊Q8C2×D11semidirect
1056. C2×C4×Q8C2×D11semidirect
1095. C2×#117C2×D11semidirect
1096. C2×#117C2×D11semidirect
1097. C2×#117C2×D11semidirect
1103. C22×C4⋊C4C2×D11semidirect
1240. #126C22×D11semidirect
1241. #126C22×D11semidirect
1251. #125C22×D11semidirect
1252. #125C22×D11semidirect
1253. #125C22×D11semidirect
1304. C22⋊Q8C22×D11semidirect
1305. C22⋊Q8C22×D11semidirect
1317. C4×Q8C22×D11semidirect
1355. #117C22×D11semidirect
1356. #117C22×D11semidirect
1357. #117C22×D11semidirect
1411. C2×C4⋊C4C22×D11semidirect
1492. C2×C11#3491semidirect
1739. C11C2×#3491semidirect
1935. C2#13082311direct (N × H)

Maximal subgroups

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

subgroupindex
#130823112
C2×#106231122
C2×#106232252
C2×#106231812
C2×#106230442
C2×#106230622
C2×#106232242
C2×#106230872
C2×#106231682
C2×#106232362
C2×#106230582
C2×#106231892
C2×#106231652
C2×#106232232
C2×#106231692
C2×#106232382
C2×#106231842
C2×#106231112
C2×#106232222
C2×#106232372
C2×#106230592
C22×#669472
C2×D11×#1232
C2×#106230522
C2×#106230762
C2×D11×#1172
C2×C11×#5522
C2×#349111