Finite Group Databasebeta

← C11×#34504 #14611697

Subgroups — C11×#34504 #14611697

Order 2816.

2156 conjugacy classes of subgroups.

The subgroup lattice has 1486 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C11×#551C211yesmaximal, characteristic
2C11×#2383C211yesmaximal, characteristic, complemented
3C11×#2378C211yesmaximal, characteristic, complemented
4C11×#2376C211yesmaximal, characteristic, complemented
5C11×#2375C211yesmaximal, characteristic
6C11×#2374C211yesmaximal, characteristic, complemented
7C11×#2373C211yesmaximal, characteristic, complemented
8C11×#2367C211yesmaximal, characteristic, complemented
9C11×#2362C211yesmaximal, characteristic, complemented
10C11×#2359C211yesmaximal, characteristic, complemented
11C11×#2354C211yesmaximal, characteristic, complemented
12C11×#2353C211yesmaximal, characteristic, complemented
13C11×#2347C211yesmaximal, characteristic, complemented
14C11×#2347C211yesmaximal, characteristic, complemented
15C11×#2342C211yesmaximal, characteristic, complemented
16C11×#2342C211yesmaximal, characteristic, complemented
17C11×#2337C211yesmaximal, characteristic, complemented
18C11×#2335C211yesmaximal, characteristic, complemented
19C11×#2335C211yesmaximal, characteristic, complemented
20C11×#2335C211yesmaximal, characteristic, complemented
21C11×#2334C211yesmaximal, characteristic, complemented
22C11×#2332C211yesmaximal, characteristic, complemented
23C11×#2323C211yesmaximal, characteristic, complemented
24C11×#2321C211yesmaximal, characteristic
25C11×#2318C211yesmaximal, characteristic, complemented
26C11×#2314C211yesmaximal, characteristic, complemented
27C11×#2312C211yesmaximal, characteristic, complemented
28C11×#2312C211yesmaximal, characteristic, complemented
29C4×C11×#126C211yesmaximal, characteristic, complemented
30C11×#2298C211yesmaximal, characteristic, complemented
31C11×#2293C211yesmaximal, characteristic, complemented
32C11×#551C4116yescomplemented
33C2×C11×#126C2211yescharacteristic
34C2×C11×#126C2211yescharacteristic
35C2×C11×#124C2211yescharacteristic
36C2×C11×#123C2211yescharacteristic
37C2×C11×#123C2211yescharacteristic
38C2×C11×#123C2211yescharacteristic
39C2×C11×C22⋊Q8C2211yescharacteristic
40C2×C11×C22⋊Q8C2211yescharacteristic
41C2×C11×#120C2211yescharacteristic
42C2×C4×Q8×C11C2211yescharacteristic, complemented
43C2×C4×D4×C11C2211yescharacteristic
44C2×C4×D4×C11C2211yescharacteristic
45C2×C4×D4×C11C2211yescharacteristic
46C2×C11×#117C2211yescharacteristic
47C2×C11×#117C2211yescharacteristic
48C2×C11×#117C2211yescharacteristic
49C2×C11×#117C2211yescharacteristic
50C2×C11×#117C2211yescharacteristic, complemented
51C22×C11×C22⋊C4C2211yescharacteristic
52C22×C11×C22⋊C4C2211yescharacteristic
53C22×C11×C22⋊C4C2211yescharacteristic
54C11×#391C2211yescharacteristic, complemented
55C11×#391C2211yescharacteristic, complemented
56C11×#391C2211yescharacteristic, complemented
57C11×#390C2211yescharacteristic
58C11×#390C2211yescharacteristic
59C11×#390C2211yescharacteristic
60C11×#390C2211yescharacteristic
61C11×#390C2211yescharacteristic
62C11×#389C2211yescharacteristic, complemented
63C11×#389C2211yescharacteristic, complemented
64C11×#389C2211yescharacteristic, complemented
65C11×#389C2211yescharacteristic, complemented
66C11×#389C2211yescharacteristic, complemented
67C11×#389C2211yescharacteristic, complemented
68C11×#389C2211yescharacteristic, complemented
69C11×#389C2211yescharacteristic, complemented
70C11×#388C2211yescharacteristic
71C11×#388C2211yescharacteristic
72C11×#388C2211yescharacteristic
73C11×#388C2211yescharacteristic
74C11×#388C2211yescharacteristic
75C11×#388C2211yescharacteristic
76C11×#388C2211yescharacteristic
77C11×#388C2211yescharacteristic
78C11×#388C2211yescharacteristic
79C11×#388C2211yescharacteristic
80C11×#388C2211yescharacteristic
81C11×#388C2211yescharacteristic
82C11×#388C2211yescharacteristic
83C11×#388C2211yescharacteristic
84C11×#388C2211yescharacteristic
85C11×#388C2211yescharacteristic
86C11×#388C2211yescharacteristic
87C11×#388C2211yescharacteristic
88C11×#388C2211yescharacteristic
89C11×#388C2211yescharacteristic
90C11×#388C2211yescharacteristic
91C11×#388C2211yescharacteristic
92C11×#388C2211yescharacteristic
93C11×#388C2211yescharacteristic
94C11×#388C2211yescharacteristic
95C11×#388C2211yescharacteristic
96C11×#388C2211yescharacteristic
97C11×#388C2211yescharacteristic
98C11×#388C2211yescharacteristic
99C11×#388C2211yescharacteristic
100C11×#388C2211yescharacteristic
101C11×#388C2211yescharacteristic
102C11×#388C2211yescharacteristic
103C11×#388C2211yescharacteristic
104C11×#388C2211yescharacteristic, complemented
105C11×#388C2211yescharacteristic, complemented
106C11×#388C2211yescharacteristic, complemented
107C11×#388C2211yescharacteristic, complemented
108C11×#388C2211yescharacteristic, complemented
109C11×#388C2211yescharacteristic, complemented
110C11×#387C2211yescharacteristic, complemented
111C11×#387C2211yescharacteristic, complemented
112C11×#387C2211yescharacteristic, complemented
113C11×#387C2211yescharacteristic, complemented
114C11×#387C2211yescharacteristic, complemented
115C11×#387C2211yescharacteristic, complemented
116C11×#387C2211yescharacteristic, complemented
117C11×#387C2211yescharacteristic, complemented
118C11×#387C2211yescharacteristic, complemented
119C11×#387C2211yescharacteristic, complemented
120C11×#387C2211yescharacteristic, complemented
121C11×#387C2211yescharacteristic, complemented
122C11×#387C2211yescharacteristic, complemented
123C11×#387C2211yescharacteristic, complemented
124C11×#387C2211yescharacteristic, complemented
125C11×#387C2211yescharacteristic, complemented
126C11×#386C2211yescharacteristic
127C11×#386C2211yescharacteristic
128C11×#386C2211yescharacteristic
129C11×#386C2211yescharacteristic
130C11×#386C2211yescharacteristic
131C11×#386C2211yescharacteristic
132C11×#385C2211yescharacteristic
133C11×#385C2211yescharacteristic
134C11×#385C2211yescharacteristic
135C11×#385C2211yescharacteristic
136C11×#385C2211yescharacteristic
137C11×#385C2211yescharacteristic, complemented
138C11×#385C2211yescharacteristic, complemented
139C11×#385C2211yescharacteristic, complemented
140C11×#384C2211yescharacteristic, complemented
141C11×#383C2211yescharacteristic, complemented
142C11×#383C2211yescharacteristic, complemented
143C11×#383C2211yescharacteristic, complemented
144C11×#382C2211yescharacteristic, complemented
145C11×#381C2211yescharacteristic
146C11×#381C2211yescharacteristic
147C11×#380C2211yescharacteristic
148C11×#380C2211yescharacteristic
149C11×#380C2211yescharacteristic
150C11×#380C2211yescharacteristic
151C11×#380C2211yescharacteristic
152C11×#380C2211yescharacteristic
153C11×#380C2211yescharacteristic, complemented
154C11×#379C2211yescharacteristic
155C11×#379C2211yescharacteristic
156C11×#379C2211yescharacteristic
157C4×C11×C4⋊C4C2211yescharacteristic, complemented
158C4×C11×C4⋊C4C2211yescharacteristic, complemented
159C4×C11×C4⋊C4C2211yescharacteristic, complemented
160C4×C11×C4⋊C4C2211yescharacteristic, complemented
161C4×C11×C4⋊C4C2211yescharacteristic, complemented
162C4×C11×C4⋊C4C2211yescharacteristic, complemented
163C4×C11×C4⋊C4C2211yescharacteristic, complemented
164C4×C11×C4⋊C4C2211yescharacteristic, complemented
165C4×C11×C4⋊C4C2211yescharacteristic, complemented
166C4×C11×C4⋊C4C2211yescharacteristic, complemented
167C4×C11×C4⋊C4C2211yescharacteristic, complemented
168C4×C11×C4⋊C4C2211yescharacteristic, complemented
169C4×C11×C4⋊C4C2211yescharacteristic, complemented
170C4×C11×C22⋊C4C2211yescharacteristic
171C4×C11×C22⋊C4C2211yescharacteristic
172C4×C11×C22⋊C4C2211yescharacteristic
173C4×C11×C22⋊C4C2211yescharacteristic
174C4×C11×C22⋊C4C2211yescharacteristic
175C4×C11×C22⋊C4C2211yescharacteristic
176C4×C11×C22⋊C4C2211yescharacteristic
177C4×C11×C22⋊C4C2211yescharacteristic
178C4×C11×C22⋊C4C2211yescharacteristic
179C4×C11×C22⋊C4C2211yescharacteristic
180C4×C11×C22⋊C4C2211yescharacteristic
181C4×C11×C22⋊C4C2211yescharacteristic, complemented
182C4×C11×C22⋊C4C2211yescharacteristic, complemented
183C4×C11×C22⋊C4C2211yescharacteristic, complemented
184C4×C11×C22⋊C4C2211yescharacteristic, complemented
185C11×#376C2211yescharacteristic, complemented
186C2×C11×#95C2211yescharacteristic, complemented
187C43×C11C2211yescharacteristic, complemented
188C25×C11C2311yescharacteristic
189C22×Q8×C11C2311yescharacteristic
190C22×D4×C11C2311yescharacteristic
191C22×D4×C11C2311yescharacteristic
192C22×D4×C11C2311yescharacteristic
193C23×C4×C11C2311yescharacteristic
194C23×C4×C11C2311yescharacteristic
195C23×C4×C11C2311yescharacteristic
196C23×C4×C11C2311yescharacteristic
197C23×C4×C11C2311yescharacteristic
198C23×C4×C11C2311yescharacteristic
199C23×C4×C11C2311yescharacteristic
200C23×C4×C11C2311yescharacteristic
201C23×C4×C11C2311yescharacteristic
202C11×#126C2×C418yescomplemented
203C11×#126C2×C418yescomplemented
204C11×#124C2×C418yes—
205C11×#123C2×C418yes—
206C11×#123C2×C418yescomplemented
207C11×#123C2×C418yescomplemented
208C11×C22⋊Q8C2×C418yescomplemented
209C11×C22⋊Q8C2×C418yescomplemented
210C11×#120C2×C418yes—
211C4×Q8×C11—42no—
212C4×D4×C11—42no—
213C4×D4×C11C2×C418yescomplemented
214C4×D4×C11C2×C418yescomplemented
215C11×#117—42no—
216C11×#117—42no—
217C11×#117—42no—
218C11×#117C2×C418yescomplemented
219C11×#117C2×C418yescomplemented
220C2×C11×C4⋊C4C2311yescharacteristic
221C2×C11×C4⋊C4C2311yescharacteristic
222C2×C11×C4⋊C4C2311yescharacteristic
223C2×C11×C4⋊C4C2311yescharacteristic
224C2×C11×C4⋊C4C2311yescharacteristic
225C2×C11×C4⋊C4C2311yescharacteristic
226C2×C11×C4⋊C4C2311yescharacteristic
227C2×C11×C4⋊C4C2311yescharacteristic
228C2×C11×C4⋊C4C2311yescharacteristic
229C2×C11×C4⋊C4C2311yescharacteristic
230C2×C11×C4⋊C4C2311yescharacteristic
231C2×C11×C4⋊C4C2311yescharacteristic
232C2×C11×C4⋊C4C2311yescharacteristic
233C2×C11×C4⋊C4C2311yescharacteristic
234C2×C11×C4⋊C4C2311yescharacteristic
235C2×C11×C4⋊C4C2311yescharacteristic
236C2×C11×C4⋊C4C2311yescharacteristic
237C2×C11×C4⋊C4C2311yescharacteristic
238C2×C11×C4⋊C4C2311yescharacteristic
239C2×C11×C4⋊C4C2311yescharacteristic
240C2×C11×C4⋊C4C2311yescharacteristic
241C2×C11×C4⋊C4C2311yescharacteristic
242C2×C11×C4⋊C4C2311yescharacteristic
243C2×C11×C4⋊C4C2311yescharacteristic
244C2×C11×C4⋊C4C2311yescharacteristic
245C2×C11×C4⋊C4C2311yescharacteristic
246C2×C11×C4⋊C4C2311yescharacteristic
247C2×C11×C4⋊C4C2311yescharacteristic
248C2×C11×C4⋊C4C2311yescharacteristic
249C2×C11×C4⋊C4C2311yescharacteristic
250C2×C11×C22⋊C4—42no—
251C2×C11×C22⋊C4C2×C418yescomplemented
252C2×C11×C22⋊C4C2×C418yescomplemented
253C2×C11×C22⋊C4C2311yescharacteristic
254C2×C11×C22⋊C4C2311yescharacteristic
255C2×C11×C22⋊C4C2311yescharacteristic
256C2×C11×C22⋊C4C2311yescharacteristic
257C2×C11×C22⋊C4C2311yescharacteristic
258C2×C11×C22⋊C4C2311yescharacteristic
259C2×C11×C22⋊C4C2311yescharacteristic
260C2×C11×C22⋊C4C2311yescharacteristic
261C2×C11×C22⋊C4C2311yescharacteristic
262C2×C11×C22⋊C4C2311yescharacteristic
263C2×C11×C22⋊C4C2311yescharacteristic
264C2×C11×C22⋊C4C2311yescharacteristic
265C2×C11×C22⋊C4C2311yescharacteristic
266C2×C11×C22⋊C4C2311yescharacteristic
267C2×C11×C22⋊C4C2311yescharacteristic
268C2×C11×C22⋊C4C2311yescharacteristic
269C2×C11×C22⋊C4C2311yescharacteristic
270C2×C11×C22⋊C4C2311yescharacteristic
271C2×C11×C22⋊C4C2311yescharacteristic
272C2×C11×C22⋊C4C2311yescharacteristic
273C2×C11×C22⋊C4C2311yescharacteristic
274C2×C11×C22⋊C4C2311yescharacteristic
275C2×C11×C22⋊C4C2311yescharacteristic
276C2×C11×C22⋊C4C2311yescharacteristic
277C2×C11×C22⋊C4C2311yescharacteristic
278C2×C11×C22⋊C4C2311yescharacteristic
279C2×C11×C22⋊C4C2311yescharacteristic
280C2×C11×C22⋊C4C2311yescharacteristic
281C2×C11×C22⋊C4C2311yescharacteristic
282C2×C11×C22⋊C4C2311yescharacteristic
283C2×C11×C22⋊C4C2311yescharacteristic
284C2×C11×C22⋊C4C2311yescharacteristic
285C2×C11×C22⋊C4C2311yescharacteristic
286C2×C11×C22⋊C4C2311yescharacteristic
287C2×C11×C22⋊C4C2311yescharacteristic
288C2×C11×C22⋊C4C2311yescharacteristic
289C2×C11×C22⋊C4C2311yescharacteristic
290C2×C11×C22⋊C4C2311yescharacteristic
291C2×C11×C22⋊C4C2311yescharacteristic
292C2×C11×C22⋊C4C2311yescharacteristic
293C2×C11×C22⋊C4C2311yescharacteristic
294C2×C11×C22⋊C4C2311yescharacteristic
295C2×C42×C11C2311yescharacteristic
296C2×C42×C11C2311yescharacteristic
297C2×C42×C11C2311yescharacteristic
298C2×C42×C11C2311yescharacteristic
299C2×C42×C11C2311yescharacteristic
300C2×C42×C11C2311yescharacteristic
301C2×C42×C11C2311yescharacteristic
302C2×C42×C11C2311yescharacteristic
303C2×C42×C11C2311yescharacteristic
304C2×C42×C11C2311yescharacteristic
305C2×C42×C11C2311yescharacteristic
306C2×C42×C11C2311yescharacteristic
307C2×C42×C11C2311yescharacteristic
308C2×C42×C11C2311yescharacteristic
309C2×C42×C11C2311yescharacteristic
310C2×C42×C11C2311yescharacteristic
311C2×C42×C11C2311yescharacteristic
312C2×C42×C11C2311yescharacteristic
313C2×C42×C11C2311yescharacteristic
314C2×C42×C11C2311yescharacteristic
315C2×C42×C11C2311yescharacteristic
316C2×C42×C11C2311yescharacteristic
317C2×C42×C11C2311yescharacteristic
318C2×C42×C11C2311yescharacteristic
319C2×C42×C11C2311yescharacteristic
320C11×#95C2311yescharacteristic
321C11×#95C2311yescharacteristic
322C11×#95C2311yescharacteristic
323C11×#95C2311yescharacteristic
324C11×#95C2311yescharacteristic
325C11×#95C2311yescharacteristic
326C11×#95C2311yescharacteristic
327C11×#95C2311yescharacteristic
328C11×#95C2311yescharacteristic
329C11×#95C2311yescharacteristic
330C11×#95C2311yescharacteristic
331C11×#95C2311yescharacteristic
332C11×#95C2311yescharacteristic
333C11×#95C2311yescharacteristic
334C11×#95C2311yescharacteristic
335C11×#95C2311yescharacteristic
336C11×#95C2311yescharacteristic
337C11×#95C2311yescharacteristic
338C11×#95C2311yescharacteristic
339C11×#95C2311yescharacteristic
340C11×#95C2311yescharacteristic
341C11×#95C2311yescharacteristic
342C11×#95C2311yescharacteristic
343C11×#95C2311yescharacteristic
344C11×#95C2311yescharacteristic
345C11×#95C2311yescharacteristic
346C11×#95C2311yescharacteristic
347C11×#95C2311yescharacteristic
348C11×#95C2311yescharacteristic
349C11×#95C2311yescharacteristic
350C11×#95C2311yescharacteristic
351C11×#95C2311yescharacteristic
352C11×#95C2311yescharacteristic
353C11×#95C2311yescharacteristic
354C11×#95C2311yescharacteristic
355C11×#95C2311yescharacteristic
356C11×#95C2311yescharacteristic
357C11×#95C2311yescharacteristic
358C11×#95C2311yescharacteristic
359C11×#95C2311yescharacteristic
360C11×#95C2311yescharacteristic
361C11×#95C2311yescharacteristic
362C11×#95C2311yescharacteristic
363C11×#95C2311yescharacteristic
364#34504C1111yesmaximal, characteristic, direct product factor, Sylow
365C24×C11—41no—
366C24×C11—41no—
367C24×C11—41no—
368C24×C11—41no—
369C24×C11—41no—
370C24×C11—41no—
371C24×C11C22×C414yes—
372C24×C11C2411yescharacteristic
373C24×C11C2411yescharacteristic
374C24×C11C2411yescharacteristic
375C24×C11C2411yescharacteristic
376C2×Q8×C11—41no—
377C2×Q8×C11—41no—
378C2×Q8×C11C22×C414yes—
379C2×D4×C11—41no—
380C2×D4×C11—41no—
381C2×D4×C11—41no—
382C2×D4×C11—41no—
383C2×D4×C11—41no—
384C2×D4×C11—41no—
385C2×D4×C11C22×C414yes—
386C2×D4×C11C22×C414yes—
387C2×D4×C11C22×C414yes—
388C22×C4×C11—22no—
389C22×C4×C11—41no—
390C22×C4×C11—41no—
391C22×C4×C11—41no—
392C22×C4×C11—41no—
393C22×C4×C11—41no—
394C22×C4×C11—41no—
395C22×C4×C11—41no—
396C22×C4×C11—41no—
397C22×C4×C11—41no—
398C22×C4×C11—41no—
399C22×C4×C11—41no—
400C22×C4×C11—41no—
401C22×C4×C11—41no—
402C22×C4×C11—41no—
403C22×C4×C11—41no—
404C22×C4×C11—41no—
405C22×C4×C11—41no—
406C22×C4×C11—41no—
407C22×C4×C11—41no—
408C22×C4×C11—41no—
409C22×C4×C11—41no—
410C22×C4×C11C22×C414yes—
411C22×C4×C11C22×C414yes—
412C22×C4×C11C22×C414yes—
413C22×C4×C11C22×C414yes—
414C22×C4×C11C22×C414yes—
415C22×C4×C11C2411yescharacteristic
416C22×C4×C11C2411yescharacteristic
417C22×C4×C11C2411yescharacteristic
418C22×C4×C11C2411yescharacteristic
419C22×C4×C11C2411yescharacteristic
420C22×C4×C11C2411yescharacteristic
421C22×C4×C11C2411yescharacteristic
422C22×C4×C11C2411yescharacteristic
423C22×C4×C11C2411yescharacteristic
424C22×C4×C11C2411yescharacteristic
425C22×C4×C11C2411yescharacteristic
426C22×C4×C11C2411yescharacteristic
427C22×C4×C11C2411yescharacteristic
428C22×C4×C11C2411yescharacteristic
429C22×C4×C11C2411yescharacteristic
430C22×C4×C11C2411yescharacteristic
431C22×C4×C11C2411yescharacteristic
432C22×C4×C11C2411yescharacteristic
433C22×C4×C11C2411yescharacteristic
434C22×C4×C11C2411yescharacteristic
435C22×C4×C11C2411yescharacteristic
436C22×C4×C11C2411yescharacteristic
437C22×C4×C11C2411yescharacteristic
438C22×C4×C11C2411yescharacteristic
439C22×C4×C11C2411yescharacteristic
440C22×C4×C11C2411yescharacteristic
441C22×C4×C11C2411yescharacteristic
442C11×C4⋊C4—22no—
443C11×C4⋊C4—22no—
444C11×C4⋊C4—22no—
445C11×C4⋊C4—41no—
446C11×C4⋊C4—41no—
447C11×C4⋊C4—41no—
448C11×C4⋊C4—41no—
449C11×C4⋊C4—41no—
450C11×C4⋊C4—41no—
451C11×C4⋊C4—41no—
452C11×C4⋊C4—41no—
453C11×C4⋊C4—41no—
454C11×C4⋊C4—41no—
455C11×C4⋊C4—41no—
456C11×C4⋊C4—41no—
457C11×C4⋊C4—41no—
458C11×C4⋊C4—41no—
459C11×C4⋊C4—41no—
460C11×C4⋊C4—41no—
461C11×C4⋊C4—41no—
462C11×C4⋊C4—41no—
463C11×C4⋊C4—41no—
464C11×C4⋊C4C22×C414yes—
465C11×C4⋊C4C22×C414yes—
466C11×C4⋊C4C22×C414yes—
467C11×C4⋊C4C22×C414yes—
468C11×C4⋊C4C22×C414yes—
469C11×C4⋊C4C22×C414yes—
470C11×C4⋊C4C22×C414yes—
471C11×C4⋊C4C22×C414yes—
472C11×C22⋊C4—22no—
473C11×C22⋊C4—22no—
474C11×C22⋊C4—22no—
475C11×C22⋊C4—41no—
476C11×C22⋊C4—41no—
477C11×C22⋊C4—41no—
478C11×C22⋊C4—41no—
479C11×C22⋊C4—41no—
480C11×C22⋊C4—41no—
481C11×C22⋊C4—41no—
482C11×C22⋊C4—41no—
483C11×C22⋊C4—41no—
484C11×C22⋊C4—41no—
485C11×C22⋊C4—41no—
486C11×C22⋊C4—41no—
487C11×C22⋊C4—41no—
488C11×C22⋊C4—41no—
489C11×C22⋊C4—41no—
490C11×C22⋊C4—41no—
491C11×C22⋊C4—41no—
492C11×C22⋊C4—41no—
493C11×C22⋊C4—41no—
494C11×C22⋊C4—41no—
495C11×C22⋊C4—41no—
496C11×C22⋊C4—41no—
497C11×C22⋊C4—41no—
498C11×C22⋊C4—41no—
499C11×C22⋊C4—41no—
500C11×C22⋊C4C22×C414yes—
501C11×C22⋊C4C22×C414yes—
502C11×C22⋊C4C22×C414yes—
503C11×C22⋊C4C22×C414yes—
504C11×C22⋊C4C22×C414yes—
505C11×C22⋊C4C22×C414yes—
506C11×C22⋊C4C22×C414yes—
507C11×C22⋊C4C22×C414yes—
508C11×C22⋊C4C22×C414yes—
509C11×C22⋊C4C22×C414yes—
510C11×C22⋊C4C22×C414yes—
511C11×C22⋊C4C22×C414yes—
512C11×C22⋊C4C22×C414yes—
513C11×C22⋊C4C22×C414yes—
514C42×C11—22no—
515C42×C11—22no—
516C42×C11—41no—
517C42×C11—41no—
518C42×C11—41no—
519C42×C11—41no—
520C42×C11—41no—
521C42×C11—41no—
522C42×C11—41no—
523C42×C11—41no—
524C42×C11—41no—
525C42×C11—41no—
526C42×C11—41no—
527C42×C11—41no—
528C42×C11—41no—
529C42×C11—41no—
530C42×C11—41no—
531C42×C11—41no—
532C42×C11—41no—
533C42×C11—41no—
534C42×C11—41no—
535C42×C11—41no—
536C42×C11C22×C414yes—
537C42×C11C22×C414yes—
538C42×C11C22×C414yes—
539C2×#551C2×C1111yescharacteristic
540#2383C2×C1111yescharacteristic, complemented
541#2378C2×C1111yescharacteristic, complemented
542#2376C2×C1111yescharacteristic, complemented
543#2375C2×C1111yescharacteristic
544#2374C2×C1111yescharacteristic, complemented
545#2373C2×C1111yescharacteristic, complemented
546#2367C2×C1111yescharacteristic, complemented
547#2362C2×C1111yescharacteristic, complemented
548#2359C2×C1111yescharacteristic, complemented
549#2354C2×C1111yescharacteristic, complemented
550#2353C2×C1111yescharacteristic, complemented
551#2347C2×C1111yescharacteristic, complemented
552#2347C2×C1111yescharacteristic, complemented
553#2342C2×C1111yescharacteristic, complemented
554#2342C2×C1111yescharacteristic, complemented
555#2337C2×C1111yescharacteristic, complemented
556#2335C2×C1111yescharacteristic, complemented
557#2335C2×C1111yescharacteristic, complemented
558#2335C2×C1111yescharacteristic, complemented
559#2334C2×C1111yescharacteristic, complemented
560#2332C2×C1111yescharacteristic, complemented
561#2323C2×C1111yescharacteristic, complemented
562#2321C2×C1111yescharacteristic
563#2318C2×C1111yescharacteristic, complemented
564#2314C2×C1111yescharacteristic, complemented
565#2312C2×C1111yescharacteristic, complemented
566#2312C2×C1111yescharacteristic, complemented
567C4×#126C2×C1111yescharacteristic, complemented
568#2298C2×C1111yescharacteristic, complemented
569#2293C2×C1111yescharacteristic, complemented
570C23×C11—21no—
571C23×C11—21no—
572C23×C11—21no—
573C23×C11—21no—
574C23×C11—21no—
575C23×C11—21no—
576C23×C11—21no—
577C23×C11—21no—
578C23×C11—21no—
579C23×C11—21no—
580C23×C11—21no—
581C23×C11—21no—
582C23×C11—21no—
583C23×C11—21no—
584C23×C11—21no—
585C23×C11—21no—
586C23×C11—21no—
587C23×C11—21no—
588C23×C11—21no—
589C23×C11—21no—
590C23×C11—21no—
591C23×C11—21no—
592C23×C11—21no—
593C23×C11—21no—
594C23×C11—44no—
595C23×C11—44no—
596C23×C11—44no—
597C23×C11—82no—
598C23×C11—82no—
599C23×C11—82no—
600C23×C11—82no—
601C23×C11C23×C412yes—
602C23×C11C23×C412yes—
603C23×C11C23×C412yes—
604C23×C11C23×C412yes—
605C23×C11C2511yescharacteristic
606Q8×C11—44no—
607D4×C11—44no—
608D4×C11—44no—
609D4×C11—44no—
610C2×C4×C11—21no—
611C2×C4×C11—21no—
612C2×C4×C11—21no—
613C2×C4×C11—21no—
614C2×C4×C11—21no—
615C2×C4×C11—21no—
616C2×C4×C11—21no—
617C2×C4×C11—21no—
618C2×C4×C11—21no—
619C2×C4×C11—21no—
620C2×C4×C11—21no—
621C2×C4×C11—21no—
622C2×C4×C11—21no—
623C2×C4×C11—21no—
624C2×C4×C11—21no—
625C2×C4×C11—21no—
626C2×C4×C11—21no—
627C2×C4×C11—21no—
628C2×C4×C11—21no—
629C2×C4×C11—21no—
630C2×C4×C11—21no—
631C2×C4×C11—21no—
632C2×C4×C11—21no—
633C2×C4×C11—21no—
634C2×C4×C11—21no—
635C2×C4×C11—21no—
636C2×C4×C11—21no—
637C2×C4×C11—21no—
638C2×C4×C11—21no—
639C2×C4×C11—21no—
640C2×C4×C11—21no—
641C2×C4×C11—21no—
642C2×C4×C11—21no—
643C2×C4×C11—21no—
644C2×C4×C11—21no—
645C2×C4×C11—21no—
646C2×C4×C11—21no—
647C2×C4×C11—21no—
648C2×C4×C11—21no—
649C2×C4×C11—21no—
650C2×C4×C11—21no—
651C2×C4×C11—21no—
652C2×C4×C11—21no—
653C2×C4×C11—21no—
654C2×C4×C11—21no—
655C2×C4×C11—21no—
656C2×C4×C11—21no—
657C2×C4×C11—21no—
658C2×C4×C11—21no—
659C2×C4×C11—21no—
660C2×C4×C11—21no—
661C2×C4×C11—21no—
662C2×C4×C11—21no—
663C2×C4×C11—21no—
664C2×C4×C11—21no—
665C2×C4×C11—21no—
666C2×C4×C11—21no—
667C2×C4×C11—21no—
668C2×C4×C11—21no—
669C2×C4×C11—21no—
670C2×C4×C11—21no—
671C2×C4×C11—21no—
672C2×C4×C11—21no—
673C2×C4×C11—21no—
674C2×C4×C11—21no—
675C2×C4×C11—21no—
676C2×C4×C11—21no—
677C2×C4×C11—21no—
678C2×C4×C11—21no—
679C2×C4×C11—44no—
680C2×C4×C11—44no—
681C2×C4×C11—44no—
682C2×C4×C11—44no—
683C2×C4×C11—44no—
684C2×C4×C11—82no—
685C2×C4×C11—82no—
686C2×C4×C11—82no—
687C2×C4×C11—82no—
688C2×C4×C11C23×C412yes—
689C2×C4×C11C23×C412yes—
690C2×C4×C11C23×C412yes—
691C2×C4×C11C23×C412yes—
692C2×C4×C11C23×C412yes—
693C2×C4×C11C23×C412yes—
694C2×C4×C11C23×C412yes—
695C2×C4×C11C23×C412yes—
696C2×C4×C11C23×C412yes—
697C2×C4×C11C23×C412yes—
698C2×C4×C11C23×C412yes—
699C2×C4×C11H(5,𝔽2)12yes—
700#551C4×C11116yescomplemented
701C2×#126C22×C1111yescharacteristic
702C2×#126C22×C1111yescharacteristic
703C2×#124C22×C1111yescharacteristic
704C2×#123C22×C1111yescharacteristic
705C2×#123C22×C1111yescharacteristic
706C2×#123C22×C1111yescharacteristic
707C2×C22⋊Q8C22×C1111yescharacteristic
708C2×C22⋊Q8C22×C1111yescharacteristic
709C2×#120C22×C1111yescharacteristic
710C2×C4×Q8C22×C1111yescharacteristic, complemented
711C2×C4×D4C22×C1111yescharacteristic
712C2×C4×D4C22×C1111yescharacteristic
713C2×C4×D4C22×C1111yescharacteristic
714C2×#117C22×C1111yescharacteristic
715C2×#117C22×C1111yescharacteristic
716C2×#117C22×C1111yescharacteristic
717C2×#117C22×C1111yescharacteristic
718C2×#117C22×C1111yescharacteristic, complemented
719C22×C22⋊C4C22×C1111yescharacteristic
720C22×C22⋊C4C22×C1111yescharacteristic
721C22×C22⋊C4C22×C1111yescharacteristic
722#391C22×C1111yescharacteristic, complemented
723#391C22×C1111yescharacteristic, complemented
724#391C22×C1111yescharacteristic, complemented
725#390C22×C1111yescharacteristic
726#390C22×C1111yescharacteristic
727#390C22×C1111yescharacteristic
728#390C22×C1111yescharacteristic
729#390C22×C1111yescharacteristic
730#389C22×C1111yescharacteristic, complemented
731#389C22×C1111yescharacteristic, complemented
732#389C22×C1111yescharacteristic, complemented
733#389C22×C1111yescharacteristic, complemented
734#389C22×C1111yescharacteristic, complemented
735#389C22×C1111yescharacteristic, complemented
736#389C22×C1111yescharacteristic, complemented
737#389C22×C1111yescharacteristic, complemented
738#388C22×C1111yescharacteristic
739#388C22×C1111yescharacteristic
740#388C22×C1111yescharacteristic
741#388C22×C1111yescharacteristic
742#388C22×C1111yescharacteristic
743#388C22×C1111yescharacteristic
744#388C22×C1111yescharacteristic
745#388C22×C1111yescharacteristic
746#388C22×C1111yescharacteristic
747#388C22×C1111yescharacteristic
748#388C22×C1111yescharacteristic
749#388C22×C1111yescharacteristic
750#388C22×C1111yescharacteristic
751#388C22×C1111yescharacteristic
752#388C22×C1111yescharacteristic
753#388C22×C1111yescharacteristic
754#388C22×C1111yescharacteristic
755#388C22×C1111yescharacteristic
756#388C22×C1111yescharacteristic
757#388C22×C1111yescharacteristic
758#388C22×C1111yescharacteristic
759#388C22×C1111yescharacteristic
760#388C22×C1111yescharacteristic
761#388C22×C1111yescharacteristic
762#388C22×C1111yescharacteristic
763#388C22×C1111yescharacteristic
764#388C22×C1111yescharacteristic
765#388C22×C1111yescharacteristic
766#388C22×C1111yescharacteristic
767#388C22×C1111yescharacteristic
768#388C22×C1111yescharacteristic
769#388C22×C1111yescharacteristic
770#388C22×C1111yescharacteristic
771#388C22×C1111yescharacteristic
772#388C22×C1111yescharacteristic, complemented
773#388C22×C1111yescharacteristic, complemented
774#388C22×C1111yescharacteristic, complemented
775#388C22×C1111yescharacteristic, complemented
776#388C22×C1111yescharacteristic, complemented
777#388C22×C1111yescharacteristic, complemented
778#387C22×C1111yescharacteristic, complemented
779#387C22×C1111yescharacteristic, complemented
780#387C22×C1111yescharacteristic, complemented
781#387C22×C1111yescharacteristic, complemented
782#387C22×C1111yescharacteristic, complemented
783#387C22×C1111yescharacteristic, complemented
784#387C22×C1111yescharacteristic, complemented
785#387C22×C1111yescharacteristic, complemented
786#387C22×C1111yescharacteristic, complemented
787#387C22×C1111yescharacteristic, complemented
788#387C22×C1111yescharacteristic, complemented
789#387C22×C1111yescharacteristic, complemented
790#387C22×C1111yescharacteristic, complemented
791#387C22×C1111yescharacteristic, complemented
792#387C22×C1111yescharacteristic, complemented
793#387C22×C1111yescharacteristic, complemented
794#386C22×C1111yescharacteristic
795#386C22×C1111yescharacteristic
796#386C22×C1111yescharacteristic
797#386C22×C1111yescharacteristic
798#386C22×C1111yescharacteristic
799#386C22×C1111yescharacteristic
800#385C22×C1111yescharacteristic
801#385C22×C1111yescharacteristic
802#385C22×C1111yescharacteristic
803#385C22×C1111yescharacteristic
804#385C22×C1111yescharacteristic
805#385C22×C1111yescharacteristic, complemented
806#385C22×C1111yescharacteristic, complemented
807#385C22×C1111yescharacteristic, complemented
808#384C22×C1111yescharacteristic, complemented
809#383C22×C1111yescharacteristic, complemented
810#383C22×C1111yescharacteristic, complemented
811#383C22×C1111yescharacteristic, complemented
812#382C22×C1111yescharacteristic, complemented
813#381C22×C1111yescharacteristic
814#381C22×C1111yescharacteristic
815#380C22×C1111yescharacteristic
816#380C22×C1111yescharacteristic
817#380C22×C1111yescharacteristic
818#380C22×C1111yescharacteristic
819#380C22×C1111yescharacteristic
820#380C22×C1111yescharacteristic
821#380C22×C1111yescharacteristic, complemented
822#379C22×C1111yescharacteristic
823#379C22×C1111yescharacteristic
824#379C22×C1111yescharacteristic
825C4×C4⋊C4C22×C1111yescharacteristic, complemented
826C4×C4⋊C4C22×C1111yescharacteristic, complemented
827C4×C4⋊C4C22×C1111yescharacteristic, complemented
828C4×C4⋊C4C22×C1111yescharacteristic, complemented
829C4×C4⋊C4C22×C1111yescharacteristic, complemented
830C4×C4⋊C4C22×C1111yescharacteristic, complemented
831C4×C4⋊C4C22×C1111yescharacteristic, complemented
832C4×C4⋊C4C22×C1111yescharacteristic, complemented
833C4×C4⋊C4C22×C1111yescharacteristic, complemented
834C4×C4⋊C4C22×C1111yescharacteristic, complemented
835C4×C4⋊C4C22×C1111yescharacteristic, complemented
836C4×C4⋊C4C22×C1111yescharacteristic, complemented
837C4×C4⋊C4C22×C1111yescharacteristic, complemented
838C4×C22⋊C4C22×C1111yescharacteristic
839C4×C22⋊C4C22×C1111yescharacteristic
840C4×C22⋊C4C22×C1111yescharacteristic
841C4×C22⋊C4C22×C1111yescharacteristic
842C4×C22⋊C4C22×C1111yescharacteristic
843C4×C22⋊C4C22×C1111yescharacteristic
844C4×C22⋊C4C22×C1111yescharacteristic
845C4×C22⋊C4C22×C1111yescharacteristic
846C4×C22⋊C4C22×C1111yescharacteristic
847C4×C22⋊C4C22×C1111yescharacteristic
848C4×C22⋊C4C22×C1111yescharacteristic
849C4×C22⋊C4C22×C1111yescharacteristic, complemented
850C4×C22⋊C4C22×C1111yescharacteristic, complemented
851C4×C22⋊C4C22×C1111yescharacteristic, complemented
852C4×C22⋊C4C22×C1111yescharacteristic, complemented
853#376C22×C1111yescharacteristic, complemented
854C2×#95C22×C1111yescharacteristic, complemented
855C43C22×C1111yescharacteristic, complemented
856C22×C11—22no—
857C22×C11—22no—
858C22×C11—22no—
859C22×C11—22no—
860C22×C11—22no—
861C22×C11—22no—
862C22×C11—22no—
863C22×C11—22no—
864C22×C11—22no—
865C22×C11—22no—
866C22×C11—22no—
867C22×C11—22no—
868C22×C11—41no—
869C22×C11—41no—
870C22×C11—41no—
871C22×C11—41no—
872C22×C11—41no—
873C22×C11—41no—
874C22×C11—41no—
875C22×C11—41no—
876C22×C11—41no—
877C22×C11—41no—
878C22×C11—41no—
879C22×C11—41no—
880C22×C11—41no—
881C22×C11—41no—
882C22×C11—41no—
883C22×C11—41no—
884C22×C11—88no—
885C22×C11C24×C411yescharacteristic
886C22×C11C2×H(5,𝔽2)11yescharacteristic
887C22×C11#58511yescharacteristic
888C22×C11#58511yescharacteristic
889C22×C11#58511yescharacteristic
890C22×C11#58511yescharacteristic
891C22×C11#58511yescharacteristic
892C4×C11—22no—
893C4×C11—22no—
894C4×C11—22no—
895C4×C11—22no—
896C4×C11—22no—
897C4×C11—22no—
898C4×C11—22no—
899C4×C11—22no—
900C4×C11—22no—
901C4×C11—22no—
902C4×C11—22no—
903C4×C11—22no—
904C4×C11—41no—
905C4×C11—41no—
906C4×C11—41no—
907C4×C11—41no—
908C4×C11—41no—
909C4×C11—41no—
910C4×C11—41no—
911C4×C11—41no—
912C4×C11—41no—
913C4×C11—41no—
914C4×C11—41no—
915C4×C11—41no—
916C4×C11—41no—
917C4×C11—41no—
918C4×C11—41no—
919C25C23×C1111yescharacteristic
920C22×Q8C23×C1111yescharacteristic
921C22×D4C23×C1111yescharacteristic
922C22×D4C23×C1111yescharacteristic
923C22×D4C23×C1111yescharacteristic
924C23×C4C23×C1111yescharacteristic
925C23×C4C23×C1111yescharacteristic
926C23×C4C23×C1111yescharacteristic
927C23×C4C23×C1111yescharacteristic
928C23×C4C23×C1111yescharacteristic
929C23×C4C23×C1111yescharacteristic
930C23×C4C23×C1111yescharacteristic
931C23×C4C23×C1111yescharacteristic
932C23×C4C23×C1111yescharacteristic
933#126C2×C4×C1118yescomplemented
934#126C2×C4×C1118yescomplemented
935#124C2×C4×C1118yes—
936#123C2×C4×C1118yes—
937#123C2×C4×C1118yescomplemented
938#123C2×C4×C1118yescomplemented
939C22⋊Q8C2×C4×C1118yescomplemented
940C22⋊Q8C2×C4×C1118yescomplemented
941#120C2×C4×C1118yes—
942C4×Q8—42no—
943C4×D4—42no—
944C4×D4C2×C4×C1118yescomplemented
945C4×D4C2×C4×C1118yescomplemented
946#117—42no—
947#117—42no—
948#117—42no—
949#117C2×C4×C1118yescomplemented
950#117C2×C4×C1118yescomplemented
951C2×C4⋊C4C23×C1111yescharacteristic
952C2×C4⋊C4C23×C1111yescharacteristic
953C2×C4⋊C4C23×C1111yescharacteristic
954C2×C4⋊C4C23×C1111yescharacteristic
955C2×C4⋊C4C23×C1111yescharacteristic
956C2×C4⋊C4C23×C1111yescharacteristic
957C2×C4⋊C4C23×C1111yescharacteristic
958C2×C4⋊C4C23×C1111yescharacteristic
959C2×C4⋊C4C23×C1111yescharacteristic
960C2×C4⋊C4C23×C1111yescharacteristic
961C2×C4⋊C4C23×C1111yescharacteristic
962C2×C4⋊C4C23×C1111yescharacteristic
963C2×C4⋊C4C23×C1111yescharacteristic
964C2×C4⋊C4C23×C1111yescharacteristic
965C2×C4⋊C4C23×C1111yescharacteristic
966C2×C4⋊C4C23×C1111yescharacteristic
967C2×C4⋊C4C23×C1111yescharacteristic
968C2×C4⋊C4C23×C1111yescharacteristic
969C2×C4⋊C4C23×C1111yescharacteristic
970C2×C4⋊C4C23×C1111yescharacteristic
971C2×C4⋊C4C23×C1111yescharacteristic
972C2×C4⋊C4C23×C1111yescharacteristic
973C2×C4⋊C4C23×C1111yescharacteristic
974C2×C4⋊C4C23×C1111yescharacteristic
975C2×C4⋊C4C23×C1111yescharacteristic
976C2×C4⋊C4C23×C1111yescharacteristic
977C2×C4⋊C4C23×C1111yescharacteristic
978C2×C4⋊C4C23×C1111yescharacteristic
979C2×C4⋊C4C23×C1111yescharacteristic
980C2×C4⋊C4C23×C1111yescharacteristic
981C2×C22⋊C4—42no—
982C2×C22⋊C4C2×C4×C1118yescomplemented
983C2×C22⋊C4C2×C4×C1118yescomplemented
984C2×C22⋊C4C23×C1111yescharacteristic
985C2×C22⋊C4C23×C1111yescharacteristic
986C2×C22⋊C4C23×C1111yescharacteristic
987C2×C22⋊C4C23×C1111yescharacteristic
988C2×C22⋊C4C23×C1111yescharacteristic
989C2×C22⋊C4C23×C1111yescharacteristic
990C2×C22⋊C4C23×C1111yescharacteristic
991C2×C22⋊C4C23×C1111yescharacteristic
992C2×C22⋊C4C23×C1111yescharacteristic
993C2×C22⋊C4C23×C1111yescharacteristic
994C2×C22⋊C4C23×C1111yescharacteristic
995C2×C22⋊C4C23×C1111yescharacteristic
996C2×C22⋊C4C23×C1111yescharacteristic
997C2×C22⋊C4C23×C1111yescharacteristic
998C2×C22⋊C4C23×C1111yescharacteristic
999C2×C22⋊C4C23×C1111yescharacteristic
1000C2×C22⋊C4C23×C1111yescharacteristic
1001C2×C22⋊C4C23×C1111yescharacteristic
1002C2×C22⋊C4C23×C1111yescharacteristic
1003C2×C22⋊C4C23×C1111yescharacteristic
1004C2×C22⋊C4C23×C1111yescharacteristic
1005C2×C22⋊C4C23×C1111yescharacteristic
1006C2×C22⋊C4C23×C1111yescharacteristic
1007C2×C22⋊C4C23×C1111yescharacteristic
1008C2×C22⋊C4C23×C1111yescharacteristic
1009C2×C22⋊C4C23×C1111yescharacteristic
1010C2×C22⋊C4C23×C1111yescharacteristic
1011C2×C22⋊C4C23×C1111yescharacteristic
1012C2×C22⋊C4C23×C1111yescharacteristic
1013C2×C22⋊C4C23×C1111yescharacteristic
1014C2×C22⋊C4C23×C1111yescharacteristic
1015C2×C22⋊C4C23×C1111yescharacteristic
1016C2×C22⋊C4C23×C1111yescharacteristic
1017C2×C22⋊C4C23×C1111yescharacteristic
1018C2×C22⋊C4C23×C1111yescharacteristic
1019C2×C22⋊C4C23×C1111yescharacteristic
1020C2×C22⋊C4C23×C1111yescharacteristic
1021C2×C22⋊C4C23×C1111yescharacteristic
1022C2×C22⋊C4C23×C1111yescharacteristic
1023C2×C22⋊C4C23×C1111yescharacteristic
1024C2×C22⋊C4C23×C1111yescharacteristic
1025C2×C22⋊C4C23×C1111yescharacteristic
1026C2×C42C23×C1111yescharacteristic
1027C2×C42C23×C1111yescharacteristic
1028C2×C42C23×C1111yescharacteristic
1029C2×C42C23×C1111yescharacteristic
1030C2×C42C23×C1111yescharacteristic
1031C2×C42C23×C1111yescharacteristic
1032C2×C42C23×C1111yescharacteristic
1033C2×C42C23×C1111yescharacteristic
1034C2×C42C23×C1111yescharacteristic
1035C2×C42C23×C1111yescharacteristic
1036C2×C42C23×C1111yescharacteristic
1037C2×C42C23×C1111yescharacteristic
1038C2×C42C23×C1111yescharacteristic
1039C2×C42C23×C1111yescharacteristic
1040C2×C42C23×C1111yescharacteristic
1041C2×C42C23×C1111yescharacteristic
1042C2×C42C23×C1111yescharacteristic
1043C2×C42C23×C1111yescharacteristic
1044C2×C42C23×C1111yescharacteristic
1045C2×C42C23×C1111yescharacteristic
1046C2×C42C23×C1111yescharacteristic
1047C2×C42C23×C1111yescharacteristic
1048C2×C42C23×C1111yescharacteristic
1049C2×C42C23×C1111yescharacteristic
1050C2×C42C23×C1111yescharacteristic
1051#95C23×C1111yescharacteristic
1052#95C23×C1111yescharacteristic
1053#95C23×C1111yescharacteristic
1054#95C23×C1111yescharacteristic
1055#95C23×C1111yescharacteristic
1056#95C23×C1111yescharacteristic
1057#95C23×C1111yescharacteristic
1058#95C23×C1111yescharacteristic
1059#95C23×C1111yescharacteristic
1060#95C23×C1111yescharacteristic
1061#95C23×C1111yescharacteristic
1062#95C23×C1111yescharacteristic
1063#95C23×C1111yescharacteristic
1064#95C23×C1111yescharacteristic
1065#95C23×C1111yescharacteristic
1066#95C23×C1111yescharacteristic
1067#95C23×C1111yescharacteristic
1068#95C23×C1111yescharacteristic
1069#95C23×C1111yescharacteristic
1070#95C23×C1111yescharacteristic
1071#95C23×C1111yescharacteristic
1072#95C23×C1111yescharacteristic
1073#95C23×C1111yescharacteristic
1074#95C23×C1111yescharacteristic
1075#95C23×C1111yescharacteristic
1076#95C23×C1111yescharacteristic
1077#95C23×C1111yescharacteristic
1078#95C23×C1111yescharacteristic
1079#95C23×C1111yescharacteristic
1080#95C23×C1111yescharacteristic
1081#95C23×C1111yescharacteristic
1082#95C23×C1111yescharacteristic
1083#95C23×C1111yescharacteristic
1084#95C23×C1111yescharacteristic
1085#95C23×C1111yescharacteristic
1086#95C23×C1111yescharacteristic
1087#95C23×C1111yescharacteristic
1088#95C23×C1111yescharacteristic
1089#95C23×C1111yescharacteristic
1090#95C23×C1111yescharacteristic
1091#95C23×C1111yescharacteristic
1092#95C23×C1111yescharacteristic
1093#95C23×C1111yescharacteristic
1094#95C23×C1111yescharacteristic
1095C2×C11—42no—
1096C2×C11—42no—
1097C2×C11—42no—
1098C2×C11—42no—
1099C2×C11#342811yescharacteristic
1100C2×C11#342811yescharacteristic
1101C2×C11C4×H(5,𝔽2)11yescharacteristic
1102C2×C11#356011yescharacteristic
1103C2×C11#356211yescharacteristic
1104C2×C11#356611yescharacteristic
1105C2×C11#356811yescharacteristic
1106C24—41no—
1107C24—41no—
1108C24—41no—
1109C24—41no—
1110C24—41no—
1111C24—41no—
1112C24C22×C4×C1114yes—
1113C24C24×C1111yescharacteristic
1114C24C24×C1111yescharacteristic
1115C24C24×C1111yescharacteristic
1116C24C24×C1111yescharacteristic
1117C2×Q8—41no—
1118C2×Q8—41no—
1119C2×Q8C22×C4×C1114yes—
1120C2×D4—41no—
1121C2×D4—41no—
1122C2×D4—41no—
1123C2×D4—41no—
1124C2×D4—41no—
1125C2×D4—41no—
1126C2×D4C22×C4×C1114yes—
1127C2×D4C22×C4×C1114yes—
1128C2×D4C22×C4×C1114yes—
1129C22×C4—22no—
1130C22×C4—41no—
1131C22×C4—41no—
1132C22×C4—41no—
1133C22×C4—41no—
1134C22×C4—41no—
1135C22×C4—41no—
1136C22×C4—41no—
1137C22×C4—41no—
1138C22×C4—41no—
1139C22×C4—41no—
1140C22×C4—41no—
1141C22×C4—41no—
1142C22×C4—41no—
1143C22×C4—41no—
1144C22×C4—41no—
1145C22×C4—41no—
1146C22×C4—41no—
1147C22×C4—41no—
1148C22×C4—41no—
1149C22×C4—41no—
1150C22×C4—41no—
1151C22×C4C22×C4×C1114yes—
1152C22×C4C22×C4×C1114yes—
1153C22×C4C22×C4×C1114yes—
1154C22×C4C22×C4×C1114yes—
1155C22×C4C22×C4×C1114yes—
1156C22×C4C24×C1111yescharacteristic
1157C22×C4C24×C1111yescharacteristic
1158C22×C4C24×C1111yescharacteristic
1159C22×C4C24×C1111yescharacteristic
1160C22×C4C24×C1111yescharacteristic
1161C22×C4C24×C1111yescharacteristic
1162C22×C4C24×C1111yescharacteristic
1163C22×C4C24×C1111yescharacteristic
1164C22×C4C24×C1111yescharacteristic
1165C22×C4C24×C1111yescharacteristic
1166C22×C4C24×C1111yescharacteristic
1167C22×C4C24×C1111yescharacteristic
1168C22×C4C24×C1111yescharacteristic
1169C22×C4C24×C1111yescharacteristic
1170C22×C4C24×C1111yescharacteristic
1171C22×C4C24×C1111yescharacteristic
1172C22×C4C24×C1111yescharacteristic
1173C22×C4C24×C1111yescharacteristic
1174C22×C4C24×C1111yescharacteristic
1175C22×C4C24×C1111yescharacteristic
1176C22×C4C24×C1111yescharacteristic
1177C22×C4C24×C1111yescharacteristic
1178C22×C4C24×C1111yescharacteristic
1179C22×C4C24×C1111yescharacteristic
1180C22×C4C24×C1111yescharacteristic
1181C22×C4C24×C1111yescharacteristic
1182C22×C4C24×C1111yescharacteristic
1183C4⋊C4—22no—
1184C4⋊C4—22no—
1185C4⋊C4—22no—
1186C4⋊C4—41no—
1187C4⋊C4—41no—
1188C4⋊C4—41no—
1189C4⋊C4—41no—
1190C4⋊C4—41no—
1191C4⋊C4—41no—
1192C4⋊C4—41no—
1193C4⋊C4—41no—
1194C4⋊C4—41no—
1195C4⋊C4—41no—
1196C4⋊C4—41no—
1197C4⋊C4—41no—
1198C4⋊C4—41no—
1199C4⋊C4—41no—
1200C4⋊C4—41no—
1201C4⋊C4—41no—
1202C4⋊C4—41no—
1203C4⋊C4—41no—
1204C4⋊C4—41no—
1205C4⋊C4C22×C4×C1114yes—
1206C4⋊C4C22×C4×C1114yes—
1207C4⋊C4C22×C4×C1114yes—
1208C4⋊C4C22×C4×C1114yes—
1209C4⋊C4C22×C4×C1114yes—
1210C4⋊C4C22×C4×C1114yes—
1211C4⋊C4C22×C4×C1114yes—
1212C4⋊C4C22×C4×C1114yes—
1213C22⋊C4—22no—
1214C22⋊C4—22no—
1215C22⋊C4—22no—
1216C22⋊C4—41no—
1217C22⋊C4—41no—
1218C22⋊C4—41no—
1219C22⋊C4—41no—
1220C22⋊C4—41no—
1221C22⋊C4—41no—
1222C22⋊C4—41no—
1223C22⋊C4—41no—
1224C22⋊C4—41no—
1225C22⋊C4—41no—
1226C22⋊C4—41no—
1227C22⋊C4—41no—
1228C22⋊C4—41no—
1229C22⋊C4—41no—
1230C22⋊C4—41no—
1231C22⋊C4—41no—
1232C22⋊C4—41no—
1233C22⋊C4—41no—
1234C22⋊C4—41no—
1235C22⋊C4—41no—
1236C22⋊C4—41no—
1237C22⋊C4—41no—
1238C22⋊C4—41no—
1239C22⋊C4—41no—
1240C22⋊C4—41no—
1241C22⋊C4C22×C4×C1114yes—
1242C22⋊C4C22×C4×C1114yes—
1243C22⋊C4C22×C4×C1114yes—
1244C22⋊C4C22×C4×C1114yes—
1245C22⋊C4C22×C4×C1114yes—
1246C22⋊C4C22×C4×C1114yes—
1247C22⋊C4C22×C4×C1114yes—
1248C22⋊C4C22×C4×C1114yes—
1249C22⋊C4C22×C4×C1114yes—
1250C22⋊C4C22×C4×C1114yes—
1251C22⋊C4C22×C4×C1114yes—
1252C22⋊C4C22×C4×C1114yes—
1253C22⋊C4C22×C4×C1114yes—
1254C22⋊C4C22×C4×C1114yes—
1255C42—22no—
1256C42—22no—
1257C42—41no—
1258C42—41no—
1259C42—41no—
1260C42—41no—
1261C42—41no—
1262C42—41no—
1263C42—41no—
1264C42—41no—
1265C42—41no—
1266C42—41no—
1267C42—41no—
1268C42—41no—
1269C42—41no—
1270C42—41no—
1271C42—41no—
1272C42—41no—
1273C42—41no—
1274C42—41no—
1275C42—41no—
1276C42—41no—
1277C42C22×C4×C1114yes—
1278C42C22×C4×C1114yes—
1279C42C22×C4×C1114yes—
1280C11#3450411yescharacteristic, direct product factor, Sylow
1281C23—21no—
1282C23—21no—
1283C23—21no—
1284C23—21no—
1285C23—21no—
1286C23—21no—
1287C23—21no—
1288C23—21no—
1289C23—21no—
1290C23—21no—
1291C23—21no—
1292C23—21no—
1293C23—21no—
1294C23—21no—
1295C23—21no—
1296C23—21no—
1297C23—21no—
1298C23—21no—
1299C23—21no—
1300C23—21no—
1301C23—21no—
1302C23—21no—
1303C23—21no—
1304C23—21no—
1305C23—44no—
1306C23—44no—
1307C23—44no—
1308C23—82no—
1309C23—82no—
1310C23—82no—
1311C23—82no—
1312C23C23×C4×C1112yes—
1313C23C23×C4×C1112yes—
1314C23C23×C4×C1112yes—
1315C23C23×C4×C1112yes—
1316C23C25×C1111yescharacteristic
1317Q8—44no—
1318D4—44no—
1319D4—44no—
1320D4—44no—
1321C2×C4—21no—
1322C2×C4—21no—
1323C2×C4—21no—
1324C2×C4—21no—
1325C2×C4—21no—
1326C2×C4—21no—
1327C2×C4—21no—
1328C2×C4—21no—
1329C2×C4—21no—
1330C2×C4—21no—
1331C2×C4—21no—
1332C2×C4—21no—
1333C2×C4—21no—
1334C2×C4—21no—
1335C2×C4—21no—
1336C2×C4—21no—
1337C2×C4—21no—
1338C2×C4—21no—
1339C2×C4—21no—
1340C2×C4—21no—
1341C2×C4—21no—
1342C2×C4—21no—
1343C2×C4—21no—
1344C2×C4—21no—
1345C2×C4—21no—
1346C2×C4—21no—
1347C2×C4—21no—
1348C2×C4—21no—
1349C2×C4—21no—
1350C2×C4—21no—
1351C2×C4—21no—
1352C2×C4—21no—
1353C2×C4—21no—
1354C2×C4—21no—
1355C2×C4—21no—
1356C2×C4—21no—
1357C2×C4—21no—
1358C2×C4—21no—
1359C2×C4—21no—
1360C2×C4—21no—
1361C2×C4—21no—
1362C2×C4—21no—
1363C2×C4—21no—
1364C2×C4—21no—
1365C2×C4—21no—
1366C2×C4—21no—
1367C2×C4—21no—
1368C2×C4—21no—
1369C2×C4—21no—
1370C2×C4—21no—
1371C2×C4—21no—
1372C2×C4—21no—
1373C2×C4—21no—
1374C2×C4—21no—
1375C2×C4—21no—
1376C2×C4—21no—
1377C2×C4—21no—
1378C2×C4—21no—
1379C2×C4—21no—
1380C2×C4—21no—
1381C2×C4—21no—
1382C2×C4—21no—
1383C2×C4—21no—
1384C2×C4—21no—
1385C2×C4—21no—
1386C2×C4—21no—
1387C2×C4—21no—
1388C2×C4—21no—
1389C2×C4—21no—
1390C2×C4—44no—
1391C2×C4—44no—
1392C2×C4—44no—
1393C2×C4—44no—
1394C2×C4—44no—
1395C2×C4—82no—
1396C2×C4—82no—
1397C2×C4—82no—
1398C2×C4—82no—
1399C2×C4C23×C4×C1112yes—
1400C2×C4C23×C4×C1112yes—
1401C2×C4C23×C4×C1112yes—
1402C2×C4C23×C4×C1112yes—
1403C2×C4C23×C4×C1112yes—
1404C2×C4C23×C4×C1112yes—
1405C2×C4C23×C4×C1112yes—
1406C2×C4C23×C4×C1112yes—
1407C2×C4C23×C4×C1112yes—
1408C2×C4C23×C4×C1112yes—
1409C2×C4C23×C4×C1112yes—
1410C2×C4C11×H(5,𝔽2)12yes—
1411C22—22no—
1412C22—22no—
1413C22—22no—
1414C22—22no—
1415C22—22no—
1416C22—22no—
1417C22—22no—
1418C22—22no—
1419C22—22no—
1420C22—22no—
1421C22—22no—
1422C22—22no—
1423C22—41no—
1424C22—41no—
1425C22—41no—
1426C22—41no—
1427C22—41no—
1428C22—41no—
1429C22—41no—
1430C22—41no—
1431C22—41no—
1432C22—41no—
1433C22—41no—
1434C22—41no—
1435C22—41no—
1436C22—41no—
1437C22—41no—
1438C22—41no—
1439C22—88no—
1440C22C24×C4×C1111yescharacteristic
1441C22C2×C11×H(5,𝔽2)11yescharacteristic
1442C22C11×#58511yescharacteristic
1443C22C11×#58511yescharacteristic
1444C22C11×#58511yescharacteristic
1445C22C11×#58511yescharacteristic
1446C22C11×#58511yescharacteristic
1447C4—22no—
1448C4—22no—
1449C4—22no—
1450C4—22no—
1451C4—22no—
1452C4—22no—
1453C4—22no—
1454C4—22no—
1455C4—22no—
1456C4—22no—
1457C4—22no—
1458C4—22no—
1459C4—41no—
1460C4—41no—
1461C4—41no—
1462C4—41no—
1463C4—41no—
1464C4—41no—
1465C4—41no—
1466C4—41no—
1467C4—41no—
1468C4—41no—
1469C4—41no—
1470C4—41no—
1471C4—41no—
1472C4—41no—
1473C4—41no—
1474C2—42no—
1475C2—42no—
1476C2—42no—
1477C2—42no—
1478C2C11×#342811yescharacteristic
1479C2C11×#342811yescharacteristic
1480C2C4×C11×H(5,𝔽2)11yescharacteristic
1481C2C11×#356011yescharacteristic
1482C2C11×#356211yescharacteristic
1483C2C11×#356611yescharacteristic
1484C2C11×#356811yescharacteristic
subgroupG/H
center, socleC23×C11C25
commutatorC22C24×C4×C11
Frattini, cosocleC23C25×C11
prime radicalC2×C11×#120C22
LCSG ▷ C22 ▷ C1
UCSC1 ◁ C23×C11 ◁ G

Complements

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

NH ≅ G/Ntype
2. C11×#2383C2semidirect
3. C11×#2378C2semidirect
4. C11×#2376C2semidirect
6. C11×#2374C2semidirect
7. C11×#2373C2semidirect
8. C11×#2367C2semidirect
9. C11×#2362C2semidirect
10. C11×#2359C2semidirect
11. C11×#2354C2semidirect
12. C11×#2353C2semidirect
13. C11×#2347C2semidirect
14. C11×#2347C2semidirect
15. C11×#2342C2semidirect
16. C11×#2342C2semidirect
17. C11×#2337C2semidirect
18. C11×#2335C2semidirect
19. C11×#2335C2semidirect
20. C11×#2335C2semidirect
21. C11×#2334C2semidirect
22. C11×#2332C2semidirect
23. C11×#2323C2semidirect
25. C11×#2318C2semidirect
26. C11×#2314C2semidirect
27. C11×#2312C2semidirect
28. C11×#2312C2semidirect
29. C4×C11×#126C2semidirect
30. C11×#2298C2semidirect
31. C11×#2293C2semidirect
32. C11×#551C4semidirect
42. C2×C4×Q8×C11C22semidirect
50. C2×C11×#117C22semidirect
54. C11×#391C22semidirect
55. C11×#391C22semidirect
56. C11×#391C22semidirect
62. C11×#389C22semidirect
63. C11×#389C22semidirect
64. C11×#389C22semidirect
65. C11×#389C22semidirect
66. C11×#389C22semidirect
67. C11×#389C22semidirect
68. C11×#389C22semidirect
69. C11×#389C22semidirect
104. C11×#388C22semidirect
105. C11×#388C22semidirect
106. C11×#388C22semidirect
107. C11×#388C22semidirect
108. C11×#388C22semidirect
109. C11×#388C22semidirect
110. C11×#387C22semidirect
111. C11×#387C22semidirect
112. C11×#387C22semidirect
113. C11×#387C22semidirect
114. C11×#387C22semidirect
115. C11×#387C22semidirect
116. C11×#387C22semidirect
117. C11×#387C22semidirect
118. C11×#387C22semidirect
119. C11×#387C22semidirect
120. C11×#387C22semidirect
121. C11×#387C22semidirect
122. C11×#387C22semidirect
123. C11×#387C22semidirect
124. C11×#387C22semidirect
125. C11×#387C22semidirect
137. C11×#385C22semidirect
138. C11×#385C22semidirect
139. C11×#385C22semidirect
140. C11×#384C22semidirect
141. C11×#383C22semidirect
142. C11×#383C22semidirect
143. C11×#383C22semidirect
144. C11×#382C22semidirect
153. C11×#380C22semidirect
157. C4×C11×C4⋊C4C22semidirect
158. C4×C11×C4⋊C4C22semidirect
159. C4×C11×C4⋊C4C22semidirect
160. C4×C11×C4⋊C4C22semidirect
161. C4×C11×C4⋊C4C22semidirect
162. C4×C11×C4⋊C4C22semidirect
163. C4×C11×C4⋊C4C22semidirect
164. C4×C11×C4⋊C4C22semidirect
165. C4×C11×C4⋊C4C22semidirect
166. C4×C11×C4⋊C4C22semidirect
167. C4×C11×C4⋊C4C22semidirect
168. C4×C11×C4⋊C4C22semidirect
169. C4×C11×C4⋊C4C22semidirect
181. C4×C11×C22⋊C4C22semidirect
182. C4×C11×C22⋊C4C22semidirect
183. C4×C11×C22⋊C4C22semidirect
184. C4×C11×C22⋊C4C22semidirect
185. C11×#376C22semidirect
186. C2×C11×#95C22semidirect
187. C43×C11C22semidirect
202. C11×#126C2×C4semidirect
203. C11×#126C2×C4semidirect
206. C11×#123C2×C4semidirect
207. C11×#123C2×C4semidirect
208. C11×C22⋊Q8C2×C4semidirect
209. C11×C22⋊Q8C2×C4semidirect
213. C4×D4×C11C2×C4semidirect
214. C4×D4×C11C2×C4semidirect
218. C11×#117C2×C4semidirect
219. C11×#117C2×C4semidirect
251. C2×C11×C22⋊C4C2×C4semidirect
252. C2×C11×C22⋊C4C2×C4semidirect
364. #34504C11direct (N × H)
540. #2383C2×C11semidirect
541. #2378C2×C11semidirect
542. #2376C2×C11semidirect
544. #2374C2×C11semidirect
545. #2373C2×C11semidirect
546. #2367C2×C11semidirect
547. #2362C2×C11semidirect
548. #2359C2×C11semidirect
549. #2354C2×C11semidirect
550. #2353C2×C11semidirect
551. #2347C2×C11semidirect
552. #2347C2×C11semidirect
553. #2342C2×C11semidirect
554. #2342C2×C11semidirect
555. #2337C2×C11semidirect
556. #2335C2×C11semidirect
557. #2335C2×C11semidirect
558. #2335C2×C11semidirect
559. #2334C2×C11semidirect
560. #2332C2×C11semidirect
561. #2323C2×C11semidirect
563. #2318C2×C11semidirect
564. #2314C2×C11semidirect
565. #2312C2×C11semidirect
566. #2312C2×C11semidirect
567. C4×#126C2×C11semidirect
568. #2298C2×C11semidirect
569. #2293C2×C11semidirect
700. #551C4×C11semidirect
710. C2×C4×Q8C22×C11semidirect
718. C2×#117C22×C11semidirect
722. #391C22×C11semidirect
723. #391C22×C11semidirect
724. #391C22×C11semidirect
730. #389C22×C11semidirect
731. #389C22×C11semidirect
732. #389C22×C11semidirect
733. #389C22×C11semidirect
734. #389C22×C11semidirect
735. #389C22×C11semidirect
736. #389C22×C11semidirect
737. #389C22×C11semidirect
772. #388C22×C11semidirect
773. #388C22×C11semidirect
774. #388C22×C11semidirect
775. #388C22×C11semidirect
776. #388C22×C11semidirect
777. #388C22×C11semidirect
778. #387C22×C11semidirect
779. #387C22×C11semidirect
780. #387C22×C11semidirect
781. #387C22×C11semidirect
782. #387C22×C11semidirect
783. #387C22×C11semidirect
784. #387C22×C11semidirect
785. #387C22×C11semidirect
786. #387C22×C11semidirect
787. #387C22×C11semidirect
788. #387C22×C11semidirect
789. #387C22×C11semidirect
790. #387C22×C11semidirect
791. #387C22×C11semidirect
792. #387C22×C11semidirect
793. #387C22×C11semidirect
805. #385C22×C11semidirect
806. #385C22×C11semidirect
807. #385C22×C11semidirect
808. #384C22×C11semidirect
809. #383C22×C11semidirect
810. #383C22×C11semidirect
811. #383C22×C11semidirect
812. #382C22×C11semidirect
821. #380C22×C11semidirect
825. C4×C4⋊C4C22×C11semidirect
826. C4×C4⋊C4C22×C11semidirect
827. C4×C4⋊C4C22×C11semidirect
828. C4×C4⋊C4C22×C11semidirect
829. C4×C4⋊C4C22×C11semidirect
830. C4×C4⋊C4C22×C11semidirect
831. C4×C4⋊C4C22×C11semidirect
832. C4×C4⋊C4C22×C11semidirect
833. C4×C4⋊C4C22×C11semidirect
834. C4×C4⋊C4C22×C11semidirect
835. C4×C4⋊C4C22×C11semidirect
836. C4×C4⋊C4C22×C11semidirect
837. C4×C4⋊C4C22×C11semidirect
849. C4×C22⋊C4C22×C11semidirect
850. C4×C22⋊C4C22×C11semidirect
851. C4×C22⋊C4C22×C11semidirect
852. C4×C22⋊C4C22×C11semidirect
853. #376C22×C11semidirect
854. C2×#95C22×C11semidirect
855. C43C22×C11semidirect
933. #126C2×C4×C11semidirect
934. #126C2×C4×C11semidirect
937. #123C2×C4×C11semidirect
938. #123C2×C4×C11semidirect
939. C22⋊Q8C2×C4×C11semidirect
940. C22⋊Q8C2×C4×C11semidirect
944. C4×D4C2×C4×C11semidirect
945. C4×D4C2×C4×C11semidirect
949. #117C2×C4×C11semidirect
950. #117C2×C4×C11semidirect
982. C2×C22⋊C4C2×C4×C11semidirect
983. C2×C22⋊C4C2×C4×C11semidirect
1280. C11#34504direct (N × H)

Maximal subgroups

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

subgroupindex
C2×C11×#5512
C11×#23832
C11×#23782
C11×#23762
C11×#23752
C11×#23742
C11×#23732
C11×#23672
C11×#23622
C11×#23592
C11×#23542
C11×#23532
C11×#23472
C11×#23422
C11×#23372
C11×#23352
C11×#23342
C11×#23322
C11×#23232
C11×#23212
C11×#23182
C11×#23142
C11×#23122
C4×C11×#1262
C11×#22982
C11×#22932
#3450411