Finite Group Databasebeta

← C11×#34479 #14611672

Subgroups — C11×#34479 #14611672

Order 2816.

2292 conjugacy classes of subgroups.

The subgroup lattice has 1522 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×#2379C211yesmaximal, characteristic, complemented
4C11×#2378C211yesmaximal, characteristic, complemented
5C11×#2376C211yesmaximal, characteristic, complemented
6C11×#2373C211yesmaximal, characteristic, complemented
7C11×#2368C211yesmaximal, characteristic, complemented
8C11×#2359C211yesmaximal, characteristic, complemented
9C11×#2359C211yesmaximal, characteristic, complemented
10C11×#2358C211yesmaximal, characteristic
11C11×#2354C211yesmaximal, characteristic, complemented
12C11×#2349C211yesmaximal, characteristic, complemented
13C11×#2346C211yesmaximal, characteristic, complemented
14C11×#2343C211yesmaximal, characteristic, complemented
15C11×#2342C211yesmaximal, characteristic, complemented
16C11×#2342C211yesmaximal, characteristic, complemented
17C11×#2335C211yesmaximal, characteristic, complemented
18C11×#2335C211yesmaximal, characteristic, complemented
19C11×#2334C211yesmaximal, characteristic, complemented
20C11×#2334C211yesmaximal, characteristic, complemented
21C11×#2326C211yesmaximal, characteristic, complemented
22C11×#2323C211yesmaximal, characteristic, complemented
23C11×#2322C211yesmaximal, characteristic, complemented
24C11×#2321C211yesmaximal, characteristic
25C11×#2318C211yesmaximal, characteristic, complemented
26C11×#2317C211yesmaximal, characteristic, complemented
27C11×#2315C211yesmaximal, characteristic, complemented
28C11×#2314C211yesmaximal, characteristic, complemented
29C4×C11×C22⋊Q8C211yesmaximal, characteristic, complemented
30C11×#2290C211yesmaximal, characteristic, complemented
31C2×C11×#388C211yesmaximal, 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×C4×D4×C11C2211yescharacteristic
47C2×C4×D4×C11C2211yescharacteristic
48C2×C11×#117C2211yescharacteristic
49C2×C11×#117C2211yescharacteristic
50C2×C11×#117C2211yescharacteristic
51C2×C11×#117C2211yescharacteristic
52C2×C11×#117C2211yescharacteristic, complemented
53C22×C11×C4⋊C4C2211yescharacteristic
54C22×C11×C22⋊C4C2211yescharacteristic
55C22×C11×C22⋊C4C2211yescharacteristic
56C22×C11×C22⋊C4C2211yescharacteristic
57C22×C11×C22⋊C4C2211yescharacteristic
58C22×C11×C22⋊C4C2211yescharacteristic
59C22×C42×C11C2211yescharacteristic
60C11×#391C2211yescharacteristic, complemented
61C11×#391C2211yescharacteristic, complemented
62C11×#391C2211yescharacteristic, complemented
63C11×#390C2211yescharacteristic
64C11×#390C2211yescharacteristic
65C11×#390C2211yescharacteristic
66C11×#389C2211yescharacteristic, complemented
67C11×#389C2211yescharacteristic, complemented
68C11×#389C2211yescharacteristic, complemented
69C11×#389C2211yescharacteristic, complemented
70C11×#389C2211yescharacteristic, complemented
71C11×#389C2211yescharacteristic, complemented
72C11×#389C2211yescharacteristic, complemented
73C11×#389C2211yescharacteristic, complemented
74C11×#389C2211yescharacteristic, complemented
75C11×#389C2211yescharacteristic, complemented
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, complemented
99C11×#388C2211yescharacteristic, complemented
100C11×#388C2211yescharacteristic, complemented
101C11×#388C2211yescharacteristic, complemented
102C11×#388C2211yescharacteristic, complemented
103C11×#388C2211yescharacteristic, complemented
104C11×#387C2211yescharacteristic, complemented
105C11×#387C2211yescharacteristic, complemented
106C11×#387C2211yescharacteristic, complemented
107C11×#387C2211yescharacteristic, complemented
108C11×#387C2211yescharacteristic, complemented
109C11×#387C2211yescharacteristic, 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×#386C2211yescharacteristic
121C11×#386C2211yescharacteristic
122C11×#386C2211yescharacteristic
123C11×#386C2211yescharacteristic
124C11×#386C2211yescharacteristic
125C11×#386C2211yescharacteristic
126C11×#385C2211yescharacteristic
127C11×#385C2211yescharacteristic
128C11×#385C2211yescharacteristic
129C11×#385C2211yescharacteristic
130C11×#385C2211yescharacteristic
131C11×#385C2211yescharacteristic
132C11×#385C2211yescharacteristic
133C11×#385C2211yescharacteristic
134C11×#385C2211yescharacteristic
135C11×#385C2211yescharacteristic
136C11×#385C2211yescharacteristic
137C11×#385C2211yescharacteristic
138C11×#385C2211yescharacteristic
139C11×#385C2211yescharacteristic
140C11×#385C2211yescharacteristic
141C11×#385C2211yescharacteristic, complemented
142C11×#385C2211yescharacteristic, complemented
143C11×#385C2211yescharacteristic, complemented
144C11×#385C2211yescharacteristic, complemented
145C11×#385C2211yescharacteristic, complemented
146C11×#384C2211yescharacteristic, complemented
147C11×#384C2211yescharacteristic, complemented
148C11×#383C2211yescharacteristic, complemented
149C11×#382C2211yescharacteristic, complemented
150C11×#382C2211yescharacteristic, complemented
151C11×#382C2211yescharacteristic, complemented
152C11×#382C2211yescharacteristic, complemented
153C11×#381C2211yescharacteristic
154C11×#381C2211yescharacteristic
155C11×#380C2211yescharacteristic
156C11×#380C2211yescharacteristic
157C11×#380C2211yescharacteristic
158C11×#380C2211yescharacteristic
159C11×#380C2211yescharacteristic
160C11×#380C2211yescharacteristic
161C11×#380C2211yescharacteristic, complemented
162C11×#379C2211yescharacteristic
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×C4⋊C4C2211yescharacteristic, complemented
171C4×C11×C4⋊C4C2211yescharacteristic, complemented
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
183C11×#376C2211yescharacteristic, complemented
184C11×#376C2211yescharacteristic, complemented
185C2×C11×#95C2211yescharacteristic
186C2×C11×#95C2211yescharacteristic
187C2×C11×#95C2211yescharacteristic, 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
202C23×C4×C11C2311yescharacteristic
203C23×C4×C11C2311yescharacteristic
204C23×C4×C11C2311yescharacteristic
205C23×C4×C11C2311yescharacteristic
206C11×#126C2×C418yescomplemented
207C11×#126C2×C418yescomplemented
208C11×#124C2×C418yescomplemented
209C11×#123C2×C418yescomplemented
210C11×#123C2×C418yescomplemented
211C11×#123C2×C418yescomplemented
212C11×C22⋊Q8C2×C418yescomplemented
213C11×C22⋊Q8C2×C418yescomplemented
214C11×#120C2×C418yes—
215C4×Q8×C11—42no—
216C4×D4×C11—42no—
217C4×D4×C11—42no—
218C4×D4×C11—42no—
219C4×D4×C11C2×C418yescomplemented
220C4×D4×C11C2×C418yescomplemented
221C11×#117—42no—
222C11×#117—42no—
223C11×#117—42no—
224C11×#117C2×C418yescomplemented
225C11×#117C2×C418yescomplemented
226C2×C11×C4⋊C4—42no—
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×C4⋊C4C2311yescharacteristic
251C2×C11×C4⋊C4C2311yescharacteristic
252C2×C11×C4⋊C4C2311yescharacteristic
253C2×C11×C4⋊C4C2311yescharacteristic
254C2×C11×C4⋊C4C2311yescharacteristic
255C2×C11×C4⋊C4C2311yescharacteristic
256C2×C11×C4⋊C4C2311yescharacteristic
257C2×C11×C4⋊C4C2311yescharacteristic
258C2×C11×C4⋊C4C2311yescharacteristic
259C2×C11×C4⋊C4C2311yescharacteristic
260C2×C11×C4⋊C4C2311yescharacteristic
261C2×C11×C22⋊C4—42no—
262C2×C11×C22⋊C4—42no—
263C2×C11×C22⋊C4—42no—
264C2×C11×C22⋊C4C2×C418yescomplemented
265C2×C11×C22⋊C4C2×C418yescomplemented
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×C11×C22⋊C4C2311yescharacteristic
296C2×C11×C22⋊C4C2311yescharacteristic
297C2×C11×C22⋊C4C2311yescharacteristic
298C2×C11×C22⋊C4C2311yescharacteristic
299C2×C11×C22⋊C4C2311yescharacteristic
300C2×C11×C22⋊C4C2311yescharacteristic
301C2×C11×C22⋊C4C2311yescharacteristic
302C2×C11×C22⋊C4C2311yescharacteristic
303C2×C11×C22⋊C4C2311yescharacteristic
304C2×C42×C11—42no—
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
320C2×C42×C11C2311yescharacteristic
321C2×C42×C11C2311yescharacteristic
322C2×C42×C11C2311yescharacteristic
323C2×C42×C11C2311yescharacteristic
324C2×C42×C11C2311yescharacteristic
325C2×C42×C11C2311yescharacteristic
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
364C11×#95C2311yescharacteristic
365C11×#95C2311yescharacteristic
366C11×#95C2311yescharacteristic
367C11×#95C2311yescharacteristic
368C11×#95C2311yescharacteristic
369C11×#95C2311yescharacteristic
370#34479C1111yesmaximal, characteristic, direct product factor, Sylow
371C24×C11—22no—
372C24×C11—22no—
373C24×C11—41no—
374C24×C11—41no—
375C24×C11—41no—
376C24×C11—41no—
377C24×C11C22×C414yes—
378C24×C11C2411yescharacteristic
379C24×C11C2411yescharacteristic
380C24×C11C2411yescharacteristic
381C24×C11C2411yescharacteristic
382C2×Q8×C11—41no—
383C2×Q8×C11—41no—
384C2×Q8×C11C22×C414yes—
385C2×D4×C11—22no—
386C2×D4×C11—22no—
387C2×D4×C11—41no—
388C2×D4×C11—41no—
389C2×D4×C11—41no—
390C2×D4×C11—41no—
391C2×D4×C11C22×C414yes—
392C2×D4×C11C22×C414yes—
393C2×D4×C11C22×C414yes—
394C22×C4×C11—22no—
395C22×C4×C11—22no—
396C22×C4×C11—22no—
397C22×C4×C11—22no—
398C22×C4×C11—22no—
399C22×C4×C11—22no—
400C22×C4×C11—22no—
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×C11—41no—
411C22×C4×C11—41no—
412C22×C4×C11—41no—
413C22×C4×C11—41no—
414C22×C4×C11—41no—
415C22×C4×C11—41no—
416C22×C4×C11—41no—
417C22×C4×C11—41no—
418C22×C4×C11—41no—
419C22×C4×C11—41no—
420C22×C4×C11—41no—
421C22×C4×C11—41no—
422C22×C4×C11—41no—
423C22×C4×C11—41no—
424C22×C4×C11—41no—
425C22×C4×C11—41no—
426C22×C4×C11—41no—
427C22×C4×C11—41no—
428C22×C4×C11C22×C414yes—
429C22×C4×C11C22×C414yes—
430C22×C4×C11C22×C414yes—
431C22×C4×C11C22×C414yes—
432C22×C4×C11C22×C414yes—
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
442C22×C4×C11C2411yescharacteristic
443C22×C4×C11C2411yescharacteristic
444C22×C4×C11C2411yescharacteristic
445C22×C4×C11C2411yescharacteristic
446C22×C4×C11C2411yescharacteristic
447C22×C4×C11C2411yescharacteristic
448C22×C4×C11C2411yescharacteristic
449C22×C4×C11C2411yescharacteristic
450C22×C4×C11C2411yescharacteristic
451C22×C4×C11C2411yescharacteristic
452C22×C4×C11C2411yescharacteristic
453C22×C4×C11C2411yescharacteristic
454C22×C4×C11C2411yescharacteristic
455C22×C4×C11C2411yescharacteristic
456C22×C4×C11C2411yescharacteristic
457C22×C4×C11C2411yescharacteristic
458C22×C4×C11C2411yescharacteristic
459C22×C4×C11C2411yescharacteristic
460C11×C4⋊C4—22no—
461C11×C4⋊C4—41no—
462C11×C4⋊C4—41no—
463C11×C4⋊C4—41no—
464C11×C4⋊C4—41no—
465C11×C4⋊C4—41no—
466C11×C4⋊C4—41no—
467C11×C4⋊C4—41no—
468C11×C4⋊C4—41no—
469C11×C4⋊C4—41no—
470C11×C4⋊C4—41no—
471C11×C4⋊C4—41no—
472C11×C4⋊C4—41no—
473C11×C4⋊C4—41no—
474C11×C4⋊C4—41no—
475C11×C4⋊C4—41no—
476C11×C4⋊C4—41no—
477C11×C4⋊C4—41no—
478C11×C4⋊C4—41no—
479C11×C4⋊C4—41no—
480C11×C4⋊C4—41no—
481C11×C4⋊C4—41no—
482C11×C4⋊C4—41no—
483C11×C4⋊C4—41no—
484C11×C4⋊C4—41no—
485C11×C4⋊C4—41no—
486C11×C4⋊C4C22×C414yes—
487C11×C4⋊C4C22×C414yes—
488C11×C4⋊C4C22×C414yes—
489C11×C4⋊C4C22×C414yes—
490C11×C4⋊C4C22×C414yes—
491C11×C4⋊C4C22×C414yes—
492C11×C4⋊C4C22×C414yes—
493C11×C4⋊C4C22×C414yes—
494C11×C22⋊C4—22no—
495C11×C22⋊C4—22no—
496C11×C22⋊C4—22no—
497C11×C22⋊C4—22no—
498C11×C22⋊C4—22no—
499C11×C22⋊C4—22no—
500C11×C22⋊C4—22no—
501C11×C22⋊C4—41no—
502C11×C22⋊C4—41no—
503C11×C22⋊C4—41no—
504C11×C22⋊C4—41no—
505C11×C22⋊C4—41no—
506C11×C22⋊C4—41no—
507C11×C22⋊C4—41no—
508C11×C22⋊C4—41no—
509C11×C22⋊C4—41no—
510C11×C22⋊C4—41no—
511C11×C22⋊C4—41no—
512C11×C22⋊C4—41no—
513C11×C22⋊C4—41no—
514C11×C22⋊C4—41no—
515C11×C22⋊C4—41no—
516C11×C22⋊C4—41no—
517C11×C22⋊C4—41no—
518C11×C22⋊C4C22×C414yes—
519C11×C22⋊C4C22×C414yes—
520C11×C22⋊C4C22×C414yes—
521C11×C22⋊C4C22×C414yes—
522C11×C22⋊C4C22×C414yes—
523C11×C22⋊C4C22×C414yes—
524C11×C22⋊C4C22×C414yes—
525C11×C22⋊C4C22×C414yes—
526C11×C22⋊C4C22×C414yes—
527C11×C22⋊C4C22×C414yes—
528C11×C22⋊C4C22×C414yes—
529C11×C22⋊C4C22×C414yes—
530C11×C22⋊C4C22×C414yes—
531C11×C22⋊C4C22×C414yes—
532C42×C11—22no—
533C42×C11—22no—
534C42×C11—22no—
535C42×C11—22no—
536C42×C11—41no—
537C42×C11—41no—
538C42×C11—41no—
539C42×C11—41no—
540C42×C11—41no—
541C42×C11—41no—
542C42×C11—41no—
543C42×C11—41no—
544C42×C11—41no—
545C42×C11—41no—
546C42×C11—41no—
547C42×C11—41no—
548C42×C11—41no—
549C42×C11—41no—
550C42×C11C22×C414yes—
551C42×C11C22×C414yes—
552C42×C11C22×C414yes—
553C2×#551C2×C1111yescharacteristic
554#2383C2×C1111yescharacteristic, complemented
555#2379C2×C1111yescharacteristic, complemented
556#2378C2×C1111yescharacteristic, complemented
557#2376C2×C1111yescharacteristic, complemented
558#2373C2×C1111yescharacteristic, complemented
559#2368C2×C1111yescharacteristic, complemented
560#2359C2×C1111yescharacteristic, complemented
561#2359C2×C1111yescharacteristic, complemented
562#2358C2×C1111yescharacteristic
563#2354C2×C1111yescharacteristic, complemented
564#2349C2×C1111yescharacteristic, complemented
565#2346C2×C1111yescharacteristic, complemented
566#2343C2×C1111yescharacteristic, complemented
567#2342C2×C1111yescharacteristic, complemented
568#2342C2×C1111yescharacteristic, complemented
569#2335C2×C1111yescharacteristic, complemented
570#2335C2×C1111yescharacteristic, complemented
571#2334C2×C1111yescharacteristic, complemented
572#2334C2×C1111yescharacteristic, complemented
573#2326C2×C1111yescharacteristic, complemented
574#2323C2×C1111yescharacteristic, complemented
575#2322C2×C1111yescharacteristic, complemented
576#2321C2×C1111yescharacteristic
577#2318C2×C1111yescharacteristic, complemented
578#2317C2×C1111yescharacteristic, complemented
579#2315C2×C1111yescharacteristic, complemented
580#2314C2×C1111yescharacteristic, complemented
581C4×C22⋊Q8C2×C1111yescharacteristic, complemented
582#2290C2×C1111yescharacteristic, complemented
583C2×#388C2×C1111yescharacteristic, complemented
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—21no—
595C23×C11—21no—
596C23×C11—21no—
597C23×C11—21no—
598C23×C11—21no—
599C23×C11—21no—
600C23×C11—21no—
601C23×C11—21no—
602C23×C11—21no—
603C23×C11—21no—
604C23×C11—21no—
605C23×C11—21no—
606C23×C11—28no—
607C23×C11—44no—
608C23×C11—44no—
609C23×C11—82no—
610C23×C11—82no—
611C23×C11—82no—
612C23×C11—82no—
613C23×C11C23×C412yes—
614C23×C11C23×C412yes—
615C23×C11C23×C412yes—
616C23×C11C23×C412yes—
617C23×C11H(5,𝔽2)12yes—
618C23×C112−1+412yes—
619C23×C11C2511yescharacteristic
620Q8×C11—44no—
621D4×C11—28no—
622D4×C11—44no—
623D4×C11—44no—
624C2×C4×C11—28no—
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—21no—
680C2×C4×C11—21no—
681C2×C4×C11—21no—
682C2×C4×C11—21no—
683C2×C4×C11—21no—
684C2×C4×C11—21no—
685C2×C4×C11—21no—
686C2×C4×C11—21no—
687C2×C4×C11—21no—
688C2×C4×C11—21no—
689C2×C4×C11—21no—
690C2×C4×C11—21no—
691C2×C4×C11—21no—
692C2×C4×C11—21no—
693C2×C4×C11—21no—
694C2×C4×C11—44no—
695C2×C4×C11—44no—
696C2×C4×C11—44no—
697C2×C4×C11—44no—
698C2×C4×C11—44no—
699C2×C4×C11—44no—
700C2×C4×C11—82no—
701C2×C4×C11—82no—
702C2×C4×C11—82no—
703C2×C4×C11—82no—
704C2×C4×C11—82no—
705C2×C4×C11—82no—
706C2×C4×C11C23×C412yes—
707C2×C4×C11C23×C412yes—
708C2×C4×C11C23×C412yes—
709C2×C4×C11C23×C412yes—
710C2×C4×C11C23×C412yes—
711C2×C4×C11C23×C412yes—
712C2×C4×C11C23×C412yes—
713C2×C4×C11C23×C412yes—
714C2×C4×C11C23×C412yes—
715C2×C4×C11C23×C412yes—
716C2×C4×C11C23×C412yes—
717C2×C4×C11H(5,𝔽2)12yes—
718#551C4×C11116yescomplemented
719C2×#126C22×C1111yescharacteristic
720C2×#126C22×C1111yescharacteristic
721C2×#124C22×C1111yescharacteristic
722C2×#123C22×C1111yescharacteristic
723C2×#123C22×C1111yescharacteristic
724C2×#123C22×C1111yescharacteristic
725C2×C22⋊Q8C22×C1111yescharacteristic
726C2×C22⋊Q8C22×C1111yescharacteristic
727C2×#120C22×C1111yescharacteristic
728C2×C4×Q8C22×C1111yescharacteristic, complemented
729C2×C4×D4C22×C1111yescharacteristic
730C2×C4×D4C22×C1111yescharacteristic
731C2×C4×D4C22×C1111yescharacteristic
732C2×C4×D4C22×C1111yescharacteristic
733C2×C4×D4C22×C1111yescharacteristic
734C2×#117C22×C1111yescharacteristic
735C2×#117C22×C1111yescharacteristic
736C2×#117C22×C1111yescharacteristic
737C2×#117C22×C1111yescharacteristic
738C2×#117C22×C1111yescharacteristic, complemented
739C22×C4⋊C4C22×C1111yescharacteristic
740C22×C22⋊C4C22×C1111yescharacteristic
741C22×C22⋊C4C22×C1111yescharacteristic
742C22×C22⋊C4C22×C1111yescharacteristic
743C22×C22⋊C4C22×C1111yescharacteristic
744C22×C22⋊C4C22×C1111yescharacteristic
745C22×C42C22×C1111yescharacteristic
746#391C22×C1111yescharacteristic, complemented
747#391C22×C1111yescharacteristic, complemented
748#391C22×C1111yescharacteristic, complemented
749#390C22×C1111yescharacteristic
750#390C22×C1111yescharacteristic
751#390C22×C1111yescharacteristic
752#389C22×C1111yescharacteristic, complemented
753#389C22×C1111yescharacteristic, complemented
754#389C22×C1111yescharacteristic, complemented
755#389C22×C1111yescharacteristic, complemented
756#389C22×C1111yescharacteristic, complemented
757#389C22×C1111yescharacteristic, complemented
758#389C22×C1111yescharacteristic, complemented
759#389C22×C1111yescharacteristic, complemented
760#389C22×C1111yescharacteristic, complemented
761#389C22×C1111yescharacteristic, complemented
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
773#388C22×C1111yescharacteristic
774#388C22×C1111yescharacteristic
775#388C22×C1111yescharacteristic
776#388C22×C1111yescharacteristic
777#388C22×C1111yescharacteristic
778#388C22×C1111yescharacteristic
779#388C22×C1111yescharacteristic
780#388C22×C1111yescharacteristic
781#388C22×C1111yescharacteristic
782#388C22×C1111yescharacteristic
783#388C22×C1111yescharacteristic
784#388C22×C1111yescharacteristic, complemented
785#388C22×C1111yescharacteristic, complemented
786#388C22×C1111yescharacteristic, complemented
787#388C22×C1111yescharacteristic, complemented
788#388C22×C1111yescharacteristic, complemented
789#388C22×C1111yescharacteristic, complemented
790#387C22×C1111yescharacteristic, complemented
791#387C22×C1111yescharacteristic, complemented
792#387C22×C1111yescharacteristic, complemented
793#387C22×C1111yescharacteristic, complemented
794#387C22×C1111yescharacteristic, complemented
795#387C22×C1111yescharacteristic, complemented
796#387C22×C1111yescharacteristic, complemented
797#387C22×C1111yescharacteristic, complemented
798#387C22×C1111yescharacteristic, complemented
799#387C22×C1111yescharacteristic, complemented
800#387C22×C1111yescharacteristic, complemented
801#387C22×C1111yescharacteristic, complemented
802#387C22×C1111yescharacteristic, complemented
803#387C22×C1111yescharacteristic, complemented
804#387C22×C1111yescharacteristic, complemented
805#387C22×C1111yescharacteristic, complemented
806#386C22×C1111yescharacteristic
807#386C22×C1111yescharacteristic
808#386C22×C1111yescharacteristic
809#386C22×C1111yescharacteristic
810#386C22×C1111yescharacteristic
811#386C22×C1111yescharacteristic
812#385C22×C1111yescharacteristic
813#385C22×C1111yescharacteristic
814#385C22×C1111yescharacteristic
815#385C22×C1111yescharacteristic
816#385C22×C1111yescharacteristic
817#385C22×C1111yescharacteristic
818#385C22×C1111yescharacteristic
819#385C22×C1111yescharacteristic
820#385C22×C1111yescharacteristic
821#385C22×C1111yescharacteristic
822#385C22×C1111yescharacteristic
823#385C22×C1111yescharacteristic
824#385C22×C1111yescharacteristic
825#385C22×C1111yescharacteristic
826#385C22×C1111yescharacteristic
827#385C22×C1111yescharacteristic, complemented
828#385C22×C1111yescharacteristic, complemented
829#385C22×C1111yescharacteristic, complemented
830#385C22×C1111yescharacteristic, complemented
831#385C22×C1111yescharacteristic, complemented
832#384C22×C1111yescharacteristic, complemented
833#384C22×C1111yescharacteristic, complemented
834#383C22×C1111yescharacteristic, complemented
835#382C22×C1111yescharacteristic, complemented
836#382C22×C1111yescharacteristic, complemented
837#382C22×C1111yescharacteristic, complemented
838#382C22×C1111yescharacteristic, complemented
839#381C22×C1111yescharacteristic
840#381C22×C1111yescharacteristic
841#380C22×C1111yescharacteristic
842#380C22×C1111yescharacteristic
843#380C22×C1111yescharacteristic
844#380C22×C1111yescharacteristic
845#380C22×C1111yescharacteristic
846#380C22×C1111yescharacteristic
847#380C22×C1111yescharacteristic, complemented
848#379C22×C1111yescharacteristic
849C4×C4⋊C4C22×C1111yescharacteristic, complemented
850C4×C4⋊C4C22×C1111yescharacteristic, complemented
851C4×C4⋊C4C22×C1111yescharacteristic, complemented
852C4×C4⋊C4C22×C1111yescharacteristic, complemented
853C4×C4⋊C4C22×C1111yescharacteristic, complemented
854C4×C4⋊C4C22×C1111yescharacteristic, complemented
855C4×C4⋊C4C22×C1111yescharacteristic, complemented
856C4×C4⋊C4C22×C1111yescharacteristic, complemented
857C4×C4⋊C4C22×C1111yescharacteristic, complemented
858C4×C22⋊C4C22×C1111yescharacteristic
859C4×C22⋊C4C22×C1111yescharacteristic
860C4×C22⋊C4C22×C1111yescharacteristic
861C4×C22⋊C4C22×C1111yescharacteristic
862C4×C22⋊C4C22×C1111yescharacteristic
863C4×C22⋊C4C22×C1111yescharacteristic
864C4×C22⋊C4C22×C1111yescharacteristic
865C4×C22⋊C4C22×C1111yescharacteristic
866C4×C22⋊C4C22×C1111yescharacteristic
867C4×C22⋊C4C22×C1111yescharacteristic, complemented
868C4×C22⋊C4C22×C1111yescharacteristic, complemented
869#376C22×C1111yescharacteristic, complemented
870#376C22×C1111yescharacteristic, complemented
871C2×#95C22×C1111yescharacteristic
872C2×#95C22×C1111yescharacteristic
873C2×#95C22×C1111yescharacteristic, complemented
874C22×C11—22no—
875C22×C11—22no—
876C22×C11—22no—
877C22×C11—22no—
878C22×C11—22no—
879C22×C11—22no—
880C22×C11—22no—
881C22×C11—22no—
882C22×C11—22no—
883C22×C11—22no—
884C22×C11—22no—
885C22×C11—22no—
886C22×C11—22no—
887C22×C11—22no—
888C22×C11—22no—
889C22×C11—41no—
890C22×C11—41no—
891C22×C11—41no—
892C22×C11—41no—
893C22×C11—41no—
894C22×C11—41no—
895C22×C11—41no—
896C22×C11—41no—
897C22×C11—41no—
898C22×C11—41no—
899C22×C11—41no—
900C22×C11—41no—
901C22×C11—88no—
902C22×C11#52014yes—
903C22×C11C24×C411yescharacteristic
904C22×C11C2×H(5,𝔽2)11yescharacteristic
905C22×C11C2×H(5,𝔽2)11yescharacteristic
906C22×C11C2×2−1+411yescharacteristic
907C22×C11#58511yescharacteristic
908C22×C11#58511yescharacteristic
909C22×C11#58511yescharacteristic
910C4×C11—22no—
911C4×C11—22no—
912C4×C11—22no—
913C4×C11—22no—
914C4×C11—22no—
915C4×C11—22no—
916C4×C11—22no—
917C4×C11—22no—
918C4×C11—22no—
919C4×C11—22no—
920C4×C11—22no—
921C4×C11—22no—
922C4×C11—41no—
923C4×C11—41no—
924C4×C11—41no—
925C4×C11—41no—
926C4×C11—41no—
927C4×C11—41no—
928C4×C11—41no—
929C4×C11—41no—
930C4×C11—41no—
931C4×C11—41no—
932C4×C11—41no—
933C4×C11—41no—
934C4×C11—41no—
935C4×C11—41no—
936C4×C11—41no—
937C25C23×C1111yescharacteristic
938C22×Q8C23×C1111yescharacteristic
939C22×D4C23×C1111yescharacteristic
940C22×D4C23×C1111yescharacteristic
941C22×D4C23×C1111yescharacteristic
942C23×C4C23×C1111yescharacteristic
943C23×C4C23×C1111yescharacteristic
944C23×C4C23×C1111yescharacteristic
945C23×C4C23×C1111yescharacteristic
946C23×C4C23×C1111yescharacteristic
947C23×C4C23×C1111yescharacteristic
948C23×C4C23×C1111yescharacteristic
949C23×C4C23×C1111yescharacteristic
950C23×C4C23×C1111yescharacteristic
951C23×C4C23×C1111yescharacteristic
952C23×C4C23×C1111yescharacteristic
953C23×C4C23×C1111yescharacteristic
954C23×C4C23×C1111yescharacteristic
955#126C2×C4×C1118yescomplemented
956#126C2×C4×C1118yescomplemented
957#124C2×C4×C1118yescomplemented
958#123C2×C4×C1118yescomplemented
959#123C2×C4×C1118yescomplemented
960#123C2×C4×C1118yescomplemented
961C22⋊Q8C2×C4×C1118yescomplemented
962C22⋊Q8C2×C4×C1118yescomplemented
963#120C2×C4×C1118yes—
964C4×Q8—42no—
965C4×D4—42no—
966C4×D4—42no—
967C4×D4—42no—
968C4×D4C2×C4×C1118yescomplemented
969C4×D4C2×C4×C1118yescomplemented
970#117—42no—
971#117—42no—
972#117—42no—
973#117C2×C4×C1118yescomplemented
974#117C2×C4×C1118yescomplemented
975C2×C4⋊C4—42no—
976C2×C4⋊C4C23×C1111yescharacteristic
977C2×C4⋊C4C23×C1111yescharacteristic
978C2×C4⋊C4C23×C1111yescharacteristic
979C2×C4⋊C4C23×C1111yescharacteristic
980C2×C4⋊C4C23×C1111yescharacteristic
981C2×C4⋊C4C23×C1111yescharacteristic
982C2×C4⋊C4C23×C1111yescharacteristic
983C2×C4⋊C4C23×C1111yescharacteristic
984C2×C4⋊C4C23×C1111yescharacteristic
985C2×C4⋊C4C23×C1111yescharacteristic
986C2×C4⋊C4C23×C1111yescharacteristic
987C2×C4⋊C4C23×C1111yescharacteristic
988C2×C4⋊C4C23×C1111yescharacteristic
989C2×C4⋊C4C23×C1111yescharacteristic
990C2×C4⋊C4C23×C1111yescharacteristic
991C2×C4⋊C4C23×C1111yescharacteristic
992C2×C4⋊C4C23×C1111yescharacteristic
993C2×C4⋊C4C23×C1111yescharacteristic
994C2×C4⋊C4C23×C1111yescharacteristic
995C2×C4⋊C4C23×C1111yescharacteristic
996C2×C4⋊C4C23×C1111yescharacteristic
997C2×C4⋊C4C23×C1111yescharacteristic
998C2×C4⋊C4C23×C1111yescharacteristic
999C2×C4⋊C4C23×C1111yescharacteristic
1000C2×C4⋊C4C23×C1111yescharacteristic
1001C2×C4⋊C4C23×C1111yescharacteristic
1002C2×C4⋊C4C23×C1111yescharacteristic
1003C2×C4⋊C4C23×C1111yescharacteristic
1004C2×C4⋊C4C23×C1111yescharacteristic
1005C2×C4⋊C4C23×C1111yescharacteristic
1006C2×C4⋊C4C23×C1111yescharacteristic
1007C2×C4⋊C4C23×C1111yescharacteristic
1008C2×C4⋊C4C23×C1111yescharacteristic
1009C2×C4⋊C4C23×C1111yescharacteristic
1010C2×C22⋊C4—42no—
1011C2×C22⋊C4—42no—
1012C2×C22⋊C4—42no—
1013C2×C22⋊C4C2×C4×C1118yescomplemented
1014C2×C22⋊C4C2×C4×C1118yescomplemented
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×C22⋊C4C23×C1111yescharacteristic
1027C2×C22⋊C4C23×C1111yescharacteristic
1028C2×C22⋊C4C23×C1111yescharacteristic
1029C2×C22⋊C4C23×C1111yescharacteristic
1030C2×C22⋊C4C23×C1111yescharacteristic
1031C2×C22⋊C4C23×C1111yescharacteristic
1032C2×C22⋊C4C23×C1111yescharacteristic
1033C2×C22⋊C4C23×C1111yescharacteristic
1034C2×C22⋊C4C23×C1111yescharacteristic
1035C2×C22⋊C4C23×C1111yescharacteristic
1036C2×C22⋊C4C23×C1111yescharacteristic
1037C2×C22⋊C4C23×C1111yescharacteristic
1038C2×C22⋊C4C23×C1111yescharacteristic
1039C2×C22⋊C4C23×C1111yescharacteristic
1040C2×C22⋊C4C23×C1111yescharacteristic
1041C2×C22⋊C4C23×C1111yescharacteristic
1042C2×C22⋊C4C23×C1111yescharacteristic
1043C2×C22⋊C4C23×C1111yescharacteristic
1044C2×C22⋊C4C23×C1111yescharacteristic
1045C2×C22⋊C4C23×C1111yescharacteristic
1046C2×C22⋊C4C23×C1111yescharacteristic
1047C2×C22⋊C4C23×C1111yescharacteristic
1048C2×C22⋊C4C23×C1111yescharacteristic
1049C2×C22⋊C4C23×C1111yescharacteristic
1050C2×C22⋊C4C23×C1111yescharacteristic
1051C2×C22⋊C4C23×C1111yescharacteristic
1052C2×C22⋊C4C23×C1111yescharacteristic
1053C2×C42—42no—
1054C2×C42C23×C1111yescharacteristic
1055C2×C42C23×C1111yescharacteristic
1056C2×C42C23×C1111yescharacteristic
1057C2×C42C23×C1111yescharacteristic
1058C2×C42C23×C1111yescharacteristic
1059C2×C42C23×C1111yescharacteristic
1060C2×C42C23×C1111yescharacteristic
1061C2×C42C23×C1111yescharacteristic
1062C2×C42C23×C1111yescharacteristic
1063C2×C42C23×C1111yescharacteristic
1064C2×C42C23×C1111yescharacteristic
1065C2×C42C23×C1111yescharacteristic
1066C2×C42C23×C1111yescharacteristic
1067C2×C42C23×C1111yescharacteristic
1068C2×C42C23×C1111yescharacteristic
1069C2×C42C23×C1111yescharacteristic
1070C2×C42C23×C1111yescharacteristic
1071C2×C42C23×C1111yescharacteristic
1072C2×C42C23×C1111yescharacteristic
1073C2×C42C23×C1111yescharacteristic
1074C2×C42C23×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
1095#95C23×C1111yescharacteristic
1096#95C23×C1111yescharacteristic
1097#95C23×C1111yescharacteristic
1098#95C23×C1111yescharacteristic
1099#95C23×C1111yescharacteristic
1100#95C23×C1111yescharacteristic
1101#95C23×C1111yescharacteristic
1102#95C23×C1111yescharacteristic
1103#95C23×C1111yescharacteristic
1104#95C23×C1111yescharacteristic
1105#95C23×C1111yescharacteristic
1106#95C23×C1111yescharacteristic
1107#95C23×C1111yescharacteristic
1108#95C23×C1111yescharacteristic
1109#95C23×C1111yescharacteristic
1110#95C23×C1111yescharacteristic
1111#95C23×C1111yescharacteristic
1112#95C23×C1111yescharacteristic
1113#95C23×C1111yescharacteristic
1114#95C23×C1111yescharacteristic
1115#95C23×C1111yescharacteristic
1116#95C23×C1111yescharacteristic
1117#95C23×C1111yescharacteristic
1118#95C23×C1111yescharacteristic
1119C2×C11—24no—
1120C2×C11—42no—
1121C2×C11—42no—
1122C2×C11—42no—
1123C2×C11C2×#52011yescharacteristic
1124C2×C11#342811yescharacteristic
1125C2×C11C4×H(5,𝔽2)11yescharacteristic
1126C2×C11#353511yescharacteristic
1127C2×C11#354211yescharacteristic
1128C2×C11#354511yescharacteristic
1129C2×C11#356411yescharacteristic
1130C24—22no—
1131C24—22no—
1132C24—41no—
1133C24—41no—
1134C24—41no—
1135C24—41no—
1136C24C22×C4×C1114yes—
1137C24C24×C1111yescharacteristic
1138C24C24×C1111yescharacteristic
1139C24C24×C1111yescharacteristic
1140C24C24×C1111yescharacteristic
1141C2×Q8—41no—
1142C2×Q8—41no—
1143C2×Q8C22×C4×C1114yes—
1144C2×D4—22no—
1145C2×D4—22no—
1146C2×D4—41no—
1147C2×D4—41no—
1148C2×D4—41no—
1149C2×D4—41no—
1150C2×D4C22×C4×C1114yes—
1151C2×D4C22×C4×C1114yes—
1152C2×D4C22×C4×C1114yes—
1153C22×C4—22no—
1154C22×C4—22no—
1155C22×C4—22no—
1156C22×C4—22no—
1157C22×C4—22no—
1158C22×C4—22no—
1159C22×C4—22no—
1160C22×C4—41no—
1161C22×C4—41no—
1162C22×C4—41no—
1163C22×C4—41no—
1164C22×C4—41no—
1165C22×C4—41no—
1166C22×C4—41no—
1167C22×C4—41no—
1168C22×C4—41no—
1169C22×C4—41no—
1170C22×C4—41no—
1171C22×C4—41no—
1172C22×C4—41no—
1173C22×C4—41no—
1174C22×C4—41no—
1175C22×C4—41no—
1176C22×C4—41no—
1177C22×C4—41no—
1178C22×C4—41no—
1179C22×C4—41no—
1180C22×C4—41no—
1181C22×C4—41no—
1182C22×C4—41no—
1183C22×C4—41no—
1184C22×C4—41no—
1185C22×C4—41no—
1186C22×C4—41no—
1187C22×C4C22×C4×C1114yes—
1188C22×C4C22×C4×C1114yes—
1189C22×C4C22×C4×C1114yes—
1190C22×C4C22×C4×C1114yes—
1191C22×C4C22×C4×C1114yes—
1192C22×C4C24×C1111yescharacteristic
1193C22×C4C24×C1111yescharacteristic
1194C22×C4C24×C1111yescharacteristic
1195C22×C4C24×C1111yescharacteristic
1196C22×C4C24×C1111yescharacteristic
1197C22×C4C24×C1111yescharacteristic
1198C22×C4C24×C1111yescharacteristic
1199C22×C4C24×C1111yescharacteristic
1200C22×C4C24×C1111yescharacteristic
1201C22×C4C24×C1111yescharacteristic
1202C22×C4C24×C1111yescharacteristic
1203C22×C4C24×C1111yescharacteristic
1204C22×C4C24×C1111yescharacteristic
1205C22×C4C24×C1111yescharacteristic
1206C22×C4C24×C1111yescharacteristic
1207C22×C4C24×C1111yescharacteristic
1208C22×C4C24×C1111yescharacteristic
1209C22×C4C24×C1111yescharacteristic
1210C22×C4C24×C1111yescharacteristic
1211C22×C4C24×C1111yescharacteristic
1212C22×C4C24×C1111yescharacteristic
1213C22×C4C24×C1111yescharacteristic
1214C22×C4C24×C1111yescharacteristic
1215C22×C4C24×C1111yescharacteristic
1216C22×C4C24×C1111yescharacteristic
1217C22×C4C24×C1111yescharacteristic
1218C22×C4C24×C1111yescharacteristic
1219C4⋊C4—22no—
1220C4⋊C4—41no—
1221C4⋊C4—41no—
1222C4⋊C4—41no—
1223C4⋊C4—41no—
1224C4⋊C4—41no—
1225C4⋊C4—41no—
1226C4⋊C4—41no—
1227C4⋊C4—41no—
1228C4⋊C4—41no—
1229C4⋊C4—41no—
1230C4⋊C4—41no—
1231C4⋊C4—41no—
1232C4⋊C4—41no—
1233C4⋊C4—41no—
1234C4⋊C4—41no—
1235C4⋊C4—41no—
1236C4⋊C4—41no—
1237C4⋊C4—41no—
1238C4⋊C4—41no—
1239C4⋊C4—41no—
1240C4⋊C4—41no—
1241C4⋊C4—41no—
1242C4⋊C4—41no—
1243C4⋊C4—41no—
1244C4⋊C4—41no—
1245C4⋊C4C22×C4×C1114yes—
1246C4⋊C4C22×C4×C1114yes—
1247C4⋊C4C22×C4×C1114yes—
1248C4⋊C4C22×C4×C1114yes—
1249C4⋊C4C22×C4×C1114yes—
1250C4⋊C4C22×C4×C1114yes—
1251C4⋊C4C22×C4×C1114yes—
1252C4⋊C4C22×C4×C1114yes—
1253C22⋊C4—22no—
1254C22⋊C4—22no—
1255C22⋊C4—22no—
1256C22⋊C4—22no—
1257C22⋊C4—22no—
1258C22⋊C4—22no—
1259C22⋊C4—22no—
1260C22⋊C4—41no—
1261C22⋊C4—41no—
1262C22⋊C4—41no—
1263C22⋊C4—41no—
1264C22⋊C4—41no—
1265C22⋊C4—41no—
1266C22⋊C4—41no—
1267C22⋊C4—41no—
1268C22⋊C4—41no—
1269C22⋊C4—41no—
1270C22⋊C4—41no—
1271C22⋊C4—41no—
1272C22⋊C4—41no—
1273C22⋊C4—41no—
1274C22⋊C4—41no—
1275C22⋊C4—41no—
1276C22⋊C4—41no—
1277C22⋊C4C22×C4×C1114yes—
1278C22⋊C4C22×C4×C1114yes—
1279C22⋊C4C22×C4×C1114yes—
1280C22⋊C4C22×C4×C1114yes—
1281C22⋊C4C22×C4×C1114yes—
1282C22⋊C4C22×C4×C1114yes—
1283C22⋊C4C22×C4×C1114yes—
1284C22⋊C4C22×C4×C1114yes—
1285C22⋊C4C22×C4×C1114yes—
1286C22⋊C4C22×C4×C1114yes—
1287C22⋊C4C22×C4×C1114yes—
1288C22⋊C4C22×C4×C1114yes—
1289C22⋊C4C22×C4×C1114yes—
1290C22⋊C4C22×C4×C1114yes—
1291C42—22no—
1292C42—22no—
1293C42—22no—
1294C42—22no—
1295C42—41no—
1296C42—41no—
1297C42—41no—
1298C42—41no—
1299C42—41no—
1300C42—41no—
1301C42—41no—
1302C42—41no—
1303C42—41no—
1304C42—41no—
1305C42—41no—
1306C42—41no—
1307C42—41no—
1308C42—41no—
1309C42C22×C4×C1114yes—
1310C42C22×C4×C1114yes—
1311C42C22×C4×C1114yes—
1312C11#3447911yescharacteristic, direct product factor, Sylow
1313C23—21no—
1314C23—21no—
1315C23—21no—
1316C23—21no—
1317C23—21no—
1318C23—21no—
1319C23—21no—
1320C23—21no—
1321C23—21no—
1322C23—21no—
1323C23—21no—
1324C23—21no—
1325C23—21no—
1326C23—21no—
1327C23—21no—
1328C23—21no—
1329C23—21no—
1330C23—21no—
1331C23—21no—
1332C23—21no—
1333C23—21no—
1334C23—21no—
1335C23—28no—
1336C23—44no—
1337C23—44no—
1338C23—82no—
1339C23—82no—
1340C23—82no—
1341C23—82no—
1342C23C23×C4×C1112yes—
1343C23C23×C4×C1112yes—
1344C23C23×C4×C1112yes—
1345C23C23×C4×C1112yes—
1346C23C11×H(5,𝔽2)12yes—
1347C23C11×2−1+412yes—
1348C23C25×C1111yescharacteristic
1349Q8—44no—
1350D4—28no—
1351D4—44no—
1352D4—44no—
1353C2×C4—28no—
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—21no—
1391C2×C4—21no—
1392C2×C4—21no—
1393C2×C4—21no—
1394C2×C4—21no—
1395C2×C4—21no—
1396C2×C4—21no—
1397C2×C4—21no—
1398C2×C4—21no—
1399C2×C4—21no—
1400C2×C4—21no—
1401C2×C4—21no—
1402C2×C4—21no—
1403C2×C4—21no—
1404C2×C4—21no—
1405C2×C4—21no—
1406C2×C4—21no—
1407C2×C4—21no—
1408C2×C4—21no—
1409C2×C4—21no—
1410C2×C4—21no—
1411C2×C4—21no—
1412C2×C4—21no—
1413C2×C4—21no—
1414C2×C4—21no—
1415C2×C4—21no—
1416C2×C4—21no—
1417C2×C4—21no—
1418C2×C4—21no—
1419C2×C4—21no—
1420C2×C4—21no—
1421C2×C4—21no—
1422C2×C4—21no—
1423C2×C4—44no—
1424C2×C4—44no—
1425C2×C4—44no—
1426C2×C4—44no—
1427C2×C4—44no—
1428C2×C4—44no—
1429C2×C4—82no—
1430C2×C4—82no—
1431C2×C4—82no—
1432C2×C4—82no—
1433C2×C4—82no—
1434C2×C4—82no—
1435C2×C4C23×C4×C1112yes—
1436C2×C4C23×C4×C1112yes—
1437C2×C4C23×C4×C1112yes—
1438C2×C4C23×C4×C1112yes—
1439C2×C4C23×C4×C1112yes—
1440C2×C4C23×C4×C1112yes—
1441C2×C4C23×C4×C1112yes—
1442C2×C4C23×C4×C1112yes—
1443C2×C4C23×C4×C1112yes—
1444C2×C4C23×C4×C1112yes—
1445C2×C4C23×C4×C1112yes—
1446C2×C4C11×H(5,𝔽2)12yes—
1447C22—22no—
1448C22—22no—
1449C22—22no—
1450C22—22no—
1451C22—22no—
1452C22—22no—
1453C22—22no—
1454C22—22no—
1455C22—22no—
1456C22—22no—
1457C22—22no—
1458C22—22no—
1459C22—22no—
1460C22—22no—
1461C22—22no—
1462C22—41no—
1463C22—41no—
1464C22—41no—
1465C22—41no—
1466C22—41no—
1467C22—41no—
1468C22—41no—
1469C22—41no—
1470C22—41no—
1471C22—41no—
1472C22—41no—
1473C22—41no—
1474C22—88no—
1475C22C11×#52014yes—
1476C22C24×C4×C1111yescharacteristic
1477C22C2×C11×H(5,𝔽2)11yescharacteristic
1478C22C2×C11×H(5,𝔽2)11yescharacteristic
1479C22C2×C11×2−1+411yescharacteristic
1480C22C11×#58511yescharacteristic
1481C22C11×#58511yescharacteristic
1482C22C11×#58511yescharacteristic
1483C4—22no—
1484C4—22no—
1485C4—22no—
1486C4—22no—
1487C4—22no—
1488C4—22no—
1489C4—22no—
1490C4—22no—
1491C4—22no—
1492C4—22no—
1493C4—22no—
1494C4—22no—
1495C4—41no—
1496C4—41no—
1497C4—41no—
1498C4—41no—
1499C4—41no—
1500C4—41no—
1501C4—41no—
1502C4—41no—
1503C4—41no—
1504C4—41no—
1505C4—41no—
1506C4—41no—
1507C4—41no—
1508C4—41no—
1509C4—41no—
1510C2—24no—
1511C2—42no—
1512C2—42no—
1513C2—42no—
1514C2C2×C11×#52011yescharacteristic
1515C2C11×#342811yescharacteristic
1516C2C4×C11×H(5,𝔽2)11yescharacteristic
1517C2C11×#353511yescharacteristic
1518C2C11×#354211yescharacteristic
1519C2C11×#354511yescharacteristic
1520C2C11×#356411yescharacteristic
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×#2379C2semidirect
4. C11×#2378C2semidirect
5. C11×#2376C2semidirect
6. C11×#2373C2semidirect
7. C11×#2368C2semidirect
8. C11×#2359C2semidirect
9. C11×#2359C2semidirect
11. C11×#2354C2semidirect
12. C11×#2349C2semidirect
13. C11×#2346C2semidirect
14. C11×#2343C2semidirect
15. C11×#2342C2semidirect
16. C11×#2342C2semidirect
17. C11×#2335C2semidirect
18. C11×#2335C2semidirect
19. C11×#2334C2semidirect
20. C11×#2334C2semidirect
21. C11×#2326C2semidirect
22. C11×#2323C2semidirect
23. C11×#2322C2semidirect
25. C11×#2318C2semidirect
26. C11×#2317C2semidirect
27. C11×#2315C2semidirect
28. C11×#2314C2semidirect
29. C4×C11×C22⋊Q8C2semidirect
30. C11×#2290C2semidirect
31. C2×C11×#388C2semidirect
32. C11×#551C4semidirect
42. C2×C4×Q8×C11C22semidirect
52. C2×C11×#117C22semidirect
60. C11×#391C22semidirect
61. C11×#391C22semidirect
62. C11×#391C22semidirect
66. C11×#389C22semidirect
67. C11×#389C22semidirect
68. C11×#389C22semidirect
69. C11×#389C22semidirect
70. C11×#389C22semidirect
71. C11×#389C22semidirect
72. C11×#389C22semidirect
73. C11×#389C22semidirect
74. C11×#389C22semidirect
75. C11×#389C22semidirect
98. C11×#388C22semidirect
99. C11×#388C22semidirect
100. C11×#388C22semidirect
101. C11×#388C22semidirect
102. C11×#388C22semidirect
103. C11×#388C22semidirect
104. C11×#387C22semidirect
105. C11×#387C22semidirect
106. C11×#387C22semidirect
107. C11×#387C22semidirect
108. C11×#387C22semidirect
109. C11×#387C22semidirect
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
141. C11×#385C22semidirect
142. C11×#385C22semidirect
143. C11×#385C22semidirect
144. C11×#385C22semidirect
145. C11×#385C22semidirect
146. C11×#384C22semidirect
147. C11×#384C22semidirect
148. C11×#383C22semidirect
149. C11×#382C22semidirect
150. C11×#382C22semidirect
151. C11×#382C22semidirect
152. C11×#382C22semidirect
161. C11×#380C22semidirect
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
170. C4×C11×C4⋊C4C22semidirect
171. C4×C11×C4⋊C4C22semidirect
181. C4×C11×C22⋊C4C22semidirect
182. C4×C11×C22⋊C4C22semidirect
183. C11×#376C22semidirect
184. C11×#376C22semidirect
187. C2×C11×#95C22semidirect
206. C11×#126C2×C4semidirect
207. C11×#126C2×C4semidirect
208. C11×#124C2×C4semidirect
209. C11×#123C2×C4semidirect
210. C11×#123C2×C4semidirect
211. C11×#123C2×C4semidirect
212. C11×C22⋊Q8C2×C4semidirect
213. C11×C22⋊Q8C2×C4semidirect
219. C4×D4×C11C2×C4semidirect
220. C4×D4×C11C2×C4semidirect
224. C11×#117C2×C4semidirect
225. C11×#117C2×C4semidirect
264. C2×C11×C22⋊C4C2×C4semidirect
265. C2×C11×C22⋊C4C2×C4semidirect
370. #34479C11direct (N × H)
554. #2383C2×C11semidirect
555. #2379C2×C11semidirect
556. #2378C2×C11semidirect
557. #2376C2×C11semidirect
558. #2373C2×C11semidirect
559. #2368C2×C11semidirect
560. #2359C2×C11semidirect
561. #2359C2×C11semidirect
563. #2354C2×C11semidirect
564. #2349C2×C11semidirect
565. #2346C2×C11semidirect
566. #2343C2×C11semidirect
567. #2342C2×C11semidirect
568. #2342C2×C11semidirect
569. #2335C2×C11semidirect
570. #2335C2×C11semidirect
571. #2334C2×C11semidirect
572. #2334C2×C11semidirect
573. #2326C2×C11semidirect
574. #2323C2×C11semidirect
575. #2322C2×C11semidirect
577. #2318C2×C11semidirect
578. #2317C2×C11semidirect
579. #2315C2×C11semidirect
580. #2314C2×C11semidirect
581. C4×C22⋊Q8C2×C11semidirect
582. #2290C2×C11semidirect
583. C2×#388C2×C11semidirect
718. #551C4×C11semidirect
728. C2×C4×Q8C22×C11semidirect
738. C2×#117C22×C11semidirect
746. #391C22×C11semidirect
747. #391C22×C11semidirect
748. #391C22×C11semidirect
752. #389C22×C11semidirect
753. #389C22×C11semidirect
754. #389C22×C11semidirect
755. #389C22×C11semidirect
756. #389C22×C11semidirect
757. #389C22×C11semidirect
758. #389C22×C11semidirect
759. #389C22×C11semidirect
760. #389C22×C11semidirect
761. #389C22×C11semidirect
784. #388C22×C11semidirect
785. #388C22×C11semidirect
786. #388C22×C11semidirect
787. #388C22×C11semidirect
788. #388C22×C11semidirect
789. #388C22×C11semidirect
790. #387C22×C11semidirect
791. #387C22×C11semidirect
792. #387C22×C11semidirect
793. #387C22×C11semidirect
794. #387C22×C11semidirect
795. #387C22×C11semidirect
796. #387C22×C11semidirect
797. #387C22×C11semidirect
798. #387C22×C11semidirect
799. #387C22×C11semidirect
800. #387C22×C11semidirect
801. #387C22×C11semidirect
802. #387C22×C11semidirect
803. #387C22×C11semidirect
804. #387C22×C11semidirect
805. #387C22×C11semidirect
827. #385C22×C11semidirect
828. #385C22×C11semidirect
829. #385C22×C11semidirect
830. #385C22×C11semidirect
831. #385C22×C11semidirect
832. #384C22×C11semidirect
833. #384C22×C11semidirect
834. #383C22×C11semidirect
835. #382C22×C11semidirect
836. #382C22×C11semidirect
837. #382C22×C11semidirect
838. #382C22×C11semidirect
847. #380C22×C11semidirect
849. C4×C4⋊C4C22×C11semidirect
850. C4×C4⋊C4C22×C11semidirect
851. C4×C4⋊C4C22×C11semidirect
852. C4×C4⋊C4C22×C11semidirect
853. C4×C4⋊C4C22×C11semidirect
854. C4×C4⋊C4C22×C11semidirect
855. C4×C4⋊C4C22×C11semidirect
856. C4×C4⋊C4C22×C11semidirect
857. C4×C4⋊C4C22×C11semidirect
867. C4×C22⋊C4C22×C11semidirect
868. C4×C22⋊C4C22×C11semidirect
869. #376C22×C11semidirect
870. #376C22×C11semidirect
873. C2×#95C22×C11semidirect
955. #126C2×C4×C11semidirect
956. #126C2×C4×C11semidirect
957. #124C2×C4×C11semidirect
958. #123C2×C4×C11semidirect
959. #123C2×C4×C11semidirect
960. #123C2×C4×C11semidirect
961. C22⋊Q8C2×C4×C11semidirect
962. C22⋊Q8C2×C4×C11semidirect
968. C4×D4C2×C4×C11semidirect
969. C4×D4C2×C4×C11semidirect
973. #117C2×C4×C11semidirect
974. #117C2×C4×C11semidirect
1013. C2×C22⋊C4C2×C4×C11semidirect
1014. C2×C22⋊C4C2×C4×C11semidirect
1312. C11#34479direct (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×#23792
C11×#23782
C11×#23762
C11×#23732
C11×#23682
C11×#23592
C11×#23582
C11×#23542
C11×#23492
C11×#23462
C11×#23432
C11×#23422
C11×#23352
C11×#23342
C11×#23262
C11×#23232
C11×#23222
C11×#23212
C11×#23182
C11×#23172
C11×#23152
C11×#23142
C4×C11×C22⋊Q82
C11×#22902
C2×C11×#3882
#3447911