Finite Group Databasebeta

← C11×#34449 #14611642

Subgroups — C11×#34449 #14611642

Order 2816.

2074 conjugacy classes of subgroups.

The subgroup lattice has 1428 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C11×#539C211yesmaximal, characteristic
2C11×#2382C211yesmaximal, characteristic, complemented
3C11×#2378C211yesmaximal, characteristic, complemented
4C11×#2378C211yesmaximal, characteristic, complemented
5C11×#2376C211yesmaximal, characteristic, complemented
6C11×#2374C211yesmaximal, characteristic, complemented
7C11×#2373C211yesmaximal, characteristic, complemented
8C11×#2373C211yesmaximal, characteristic, complemented
9C11×#2371C211yesmaximal, characteristic, complemented
10C11×#2370C211yesmaximal, characteristic, complemented
11C11×#2370C211yesmaximal, characteristic, complemented
12C11×#2362C211yesmaximal, characteristic, complemented
13C11×#2360C211yesmaximal, characteristic, complemented
14C11×#2357C211yesmaximal, characteristic, complemented
15C11×#2352C211yesmaximal, characteristic, complemented
16C11×#2345C211yesmaximal, characteristic, complemented
17C11×#2344C211yesmaximal, characteristic, complemented
18C11×#2335C211yesmaximal, characteristic, complemented
19C11×#2335C211yesmaximal, characteristic, complemented
20C11×#2335C211yesmaximal, characteristic, complemented
21C11×#2335C211yesmaximal, characteristic, complemented
22C11×#2334C211yesmaximal, characteristic, complemented
23C11×#2334C211yesmaximal, characteristic, complemented
24C11×#2333C211yesmaximal, characteristic
25C11×#2332C211yesmaximal, characteristic, complemented
26C11×#2324C211yesmaximal, characteristic
27C11×#2322C211yesmaximal, characteristic, complemented
28C11×#2319C211yesmaximal, characteristic, complemented
29C4×C11×C22⋊Q8C211yesmaximal, characteristic, complemented
30C4×C11×#123C211yesmaximal, characteristic, complemented
31C11×#2290C211yesmaximal, characteristic, complemented
32C11×#539C4116yescomplemented
33C2×C11×#126C2211yescharacteristic
34C2×C11×#126C2211yescharacteristic
35C2×C11×#125C2211yescharacteristic
36C2×C11×#125C2211yescharacteristic
37C2×C11×#123C2211yescharacteristic
38C2×C11×#123C2211yescharacteristic
39C2×C11×#123C2211yescharacteristic
40C2×C11×#123C2211yescharacteristic
41C2×C11×C22⋊Q8C2211yescharacteristic
42C2×C11×C22⋊Q8C2211yescharacteristic
43C2×C11×C22⋊Q8C2211yescharacteristic
44C2×C11×#121C2211yescharacteristic
45C2×C4×Q8×C11C2211yescharacteristic
46C2×C4×D4×C11C2211yescharacteristic
47C2×C4×D4×C11C2211yescharacteristic
48C2×C4×D4×C11C2211yescharacteristic
49C2×C11×#117C2211yescharacteristic
50C2×C11×#117C2211yescharacteristic
51C22×C11×C4⋊C4C2211yescharacteristic
52C22×C11×C4⋊C4C2211yescharacteristic
53C22×C42×C11C2211yescharacteristic
54C11×#391C2211yescharacteristic
55C11×#391C2211yescharacteristic
56C11×#391C2211yescharacteristic
57C11×#390C2211yescharacteristic
58C11×#390C2211yescharacteristic
59C11×#390C2211yescharacteristic
60C11×#390C2211yescharacteristic
61C11×#390C2211yescharacteristic
62C11×#389C2211yescharacteristic
63C11×#389C2211yescharacteristic
64C11×#389C2211yescharacteristic
65C11×#389C2211yescharacteristic
66C11×#389C2211yescharacteristic
67C11×#389C2211yescharacteristic
68C11×#389C2211yescharacteristic
69C11×#389C2211yescharacteristic
70C11×#389C2211yescharacteristic
71C11×#389C2211yescharacteristic
72C11×#389C2211yescharacteristic
73C11×#389C2211yescharacteristic
74C11×#389C2211yescharacteristic
75C11×#389C2211yescharacteristic
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×#387C2211yescharacteristic
101C11×#387C2211yescharacteristic
102C11×#387C2211yescharacteristic
103C11×#387C2211yescharacteristic
104C11×#387C2211yescharacteristic
105C11×#387C2211yescharacteristic
106C11×#387C2211yescharacteristic
107C11×#387C2211yescharacteristic
108C11×#387C2211yescharacteristic
109C11×#387C2211yescharacteristic
110C11×#387C2211yescharacteristic
111C11×#387C2211yescharacteristic
112C11×#387C2211yescharacteristic
113C11×#387C2211yescharacteristic
114C11×#387C2211yescharacteristic
115C11×#387C2211yescharacteristic
116C11×#387C2211yescharacteristic
117C11×#387C2211yescharacteristic
118C11×#387C2211yescharacteristic
119C11×#387C2211yescharacteristic
120C11×#387C2211yescharacteristic
121C11×#387C2211yescharacteristic
122C11×#387C2211yescharacteristic
123C11×#387C2211yescharacteristic
124C11×#387C2211yescharacteristic
125C11×#387C2211yescharacteristic
126C11×#387C2211yescharacteristic
127C11×#387C2211yescharacteristic
128C11×#386C2211yescharacteristic
129C11×#386C2211yescharacteristic
130C11×#386C2211yescharacteristic
131C11×#386C2211yescharacteristic
132C11×#386C2211yescharacteristic
133C11×#386C2211yescharacteristic
134C11×#385C2211yescharacteristic
135C11×#385C2211yescharacteristic
136C11×#385C2211yescharacteristic
137C11×#385C2211yescharacteristic
138C11×#385C2211yescharacteristic
139C11×#385C2211yescharacteristic
140C11×#385C2211yescharacteristic
141C11×#385C2211yescharacteristic
142C11×#382C2211yescharacteristic
143C11×#382C2211yescharacteristic
144C11×#381C2211yescharacteristic
145C11×#381C2211yescharacteristic
146C11×#381C2211yescharacteristic
147C11×#381C2211yescharacteristic
148C11×#380C2211yescharacteristic
149C11×#380C2211yescharacteristic
150C11×#380C2211yescharacteristic
151C11×#380C2211yescharacteristic
152C11×#380C2211yescharacteristic
153C11×#380C2211yescharacteristic
154C4×C11×C4⋊C4C2211yescharacteristic
155C4×C11×C4⋊C4C2211yescharacteristic
156C4×C11×C4⋊C4C2211yescharacteristic
157C4×C11×C4⋊C4C2211yescharacteristic
158C4×C11×C4⋊C4C2211yescharacteristic
159C4×C11×C4⋊C4C2211yescharacteristic
160C4×C11×C4⋊C4C2211yescharacteristic
161C4×C11×C4⋊C4C2211yescharacteristic
162C4×C11×C4⋊C4C2211yescharacteristic
163C4×C11×C4⋊C4C2211yescharacteristic
164C4×C11×C4⋊C4C2211yescharacteristic
165C4×C11×C4⋊C4C2211yescharacteristic
166C4×C11×C4⋊C4C2211yescharacteristic
167C4×C11×C4⋊C4C2211yescharacteristic
168C4×C11×C4⋊C4C2211yescharacteristic
169C4×C11×C4⋊C4C2211yescharacteristic
170C4×C11×C4⋊C4C2211yescharacteristic
171C4×C11×C4⋊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
182C4×C11×C22⋊C4C2211yescharacteristic
183C4×C11×C22⋊C4C2211yescharacteristic
184C4×C11×C22⋊C4C2211yescharacteristic
185C4×C11×C22⋊C4C2211yescharacteristic
186C11×#376C2211yescharacteristic
187C11×#376C2211yescharacteristic
188C22×Q8×C11C2311yescharacteristic
189C22×D4×C11C2311yescharacteristic
190C22×D4×C11C2311yescharacteristic
191C22×D4×C11C2311yescharacteristic
192C23×C4×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
201C11×#126C2×C418yescomplemented
202C11×#126C2×C418yescomplemented
203C11×#125C2×C418yescomplemented
204C11×#125C2×C418yescomplemented
205C11×#123C2×C418yes—
206C11×#123C2×C418yes—
207C11×#123C2×C418yescomplemented
208C11×#123C2×C418yescomplemented
209C11×C22⋊Q8C2×C418yescomplemented
210C11×C22⋊Q8C2×C418yescomplemented
211C11×C22⋊Q8C2×C418yescomplemented
212C11×#121C2×C418yes—
213C4×Q8×C11—42no—
214C4×D4×C11—42no—
215C4×D4×C11C2×C418yescomplemented
216C4×D4×C11C2×C418yescomplemented
217C11×#117—42no—
218C11×#117—42no—
219C2×C11×C4⋊C4—42no—
220C2×C11×C4⋊C4C2×C418yescomplemented
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×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×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×C42×C11—42no—
290C2×C42×C11C2311yescharacteristic
291C2×C42×C11C2311yescharacteristic
292C2×C42×C11C2311yescharacteristic
293C2×C42×C11C2311yescharacteristic
294C2×C42×C11C2311yescharacteristic
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
316C11×#95C2311yescharacteristic
317C11×#95C2311yescharacteristic
318C11×#95C2311yescharacteristic
319C11×#95C2311yescharacteristic
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#34449C1111yesmaximal, characteristic, direct product factor, Sylow
365C24×C11C2411yescharacteristic
366C24×C11C2411yescharacteristic
367C24×C11C2411yescharacteristic
368C2×Q8×C11—41no—
369C2×Q8×C11—41no—
370C2×Q8×C11C22×C414yes—
371C2×D4×C11—41no—
372C2×D4×C11—41no—
373C2×D4×C11—41no—
374C2×D4×C11—41no—
375C2×D4×C11—41no—
376C2×D4×C11—41no—
377C2×D4×C11C22×C414yes—
378C2×D4×C11C22×C414yes—
379C2×D4×C11C22×C414yes—
380C22×C4×C11—22no—
381C22×C4×C11—22no—
382C22×C4×C11—22no—
383C22×C4×C11—41no—
384C22×C4×C11—41no—
385C22×C4×C11—41no—
386C22×C4×C11—41no—
387C22×C4×C11—41no—
388C22×C4×C11—41no—
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×C11C22×C414yes—
403C22×C4×C11C22×C414yes—
404C22×C4×C11C22×C414yes—
405C22×C4×C11C22×C414yes—
406C22×C4×C11C22×C414yes—
407C22×C4×C11C2411yescharacteristic
408C22×C4×C11C2411yescharacteristic
409C22×C4×C11C2411yescharacteristic
410C22×C4×C11C2411yescharacteristic
411C22×C4×C11C2411yescharacteristic
412C22×C4×C11C2411yescharacteristic
413C22×C4×C11C2411yescharacteristic
414C22×C4×C11C2411yescharacteristic
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
435C11×C4⋊C4—22no—
436C11×C4⋊C4—22no—
437C11×C4⋊C4—22no—
438C11×C4⋊C4—22no—
439C11×C4⋊C4—22no—
440C11×C4⋊C4—41no—
441C11×C4⋊C4—41no—
442C11×C4⋊C4—41no—
443C11×C4⋊C4—41no—
444C11×C4⋊C4—41no—
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⋊C4C22×C414yes—
460C11×C4⋊C4C22×C414yes—
461C11×C4⋊C4C22×C414yes—
462C11×C4⋊C4C22×C414yes—
463C11×C4⋊C4C22×C414yes—
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×C4⋊C4C22×C414yes—
473C11×C22⋊C4—22no—
474C11×C22⋊C4—22no—
475C11×C22⋊C4—22no—
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⋊C4C22×C414yes—
494C11×C22⋊C4C22×C414yes—
495C11×C22⋊C4C22×C414yes—
496C11×C22⋊C4C22×C414yes—
497C11×C22⋊C4C22×C414yes—
498C11×C22⋊C4C22×C414yes—
499C11×C22⋊C4C22×C414yes—
500C11×C22⋊C4C22×C414yes—
501C11×C22⋊C4C22×C414yes—
502C11×C22⋊C4C22×C414yes—
503C42×C11—22no—
504C42×C11—22no—
505C42×C11—22no—
506C42×C11—41no—
507C42×C11—41no—
508C42×C11—41no—
509C42×C11—41no—
510C42×C11—41no—
511C42×C11—41no—
512C42×C11—41no—
513C42×C11—41no—
514C42×C11—41no—
515C42×C11—41no—
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×C11C22×C414yes—
528C42×C11C22×C414yes—
529C2×#539C2×C1111yescharacteristic
530#2382C2×C1111yescharacteristic, complemented
531#2378C2×C1111yescharacteristic, complemented
532#2378C2×C1111yescharacteristic, complemented
533#2376C2×C1111yescharacteristic, complemented
534#2374C2×C1111yescharacteristic, complemented
535#2373C2×C1111yescharacteristic, complemented
536#2373C2×C1111yescharacteristic, complemented
537#2371C2×C1111yescharacteristic, complemented
538#2370C2×C1111yescharacteristic, complemented
539#2370C2×C1111yescharacteristic, complemented
540#2362C2×C1111yescharacteristic, complemented
541#2360C2×C1111yescharacteristic, complemented
542#2357C2×C1111yescharacteristic, complemented
543#2352C2×C1111yescharacteristic, complemented
544#2345C2×C1111yescharacteristic, complemented
545#2344C2×C1111yescharacteristic, complemented
546#2335C2×C1111yescharacteristic, complemented
547#2335C2×C1111yescharacteristic, complemented
548#2335C2×C1111yescharacteristic, complemented
549#2335C2×C1111yescharacteristic, complemented
550#2334C2×C1111yescharacteristic, complemented
551#2334C2×C1111yescharacteristic, complemented
552#2333C2×C1111yescharacteristic
553#2332C2×C1111yescharacteristic, complemented
554#2324C2×C1111yescharacteristic
555#2322C2×C1111yescharacteristic, complemented
556#2319C2×C1111yescharacteristic, complemented
557C4×C22⋊Q8C2×C1111yescharacteristic, complemented
558C4×#123C2×C1111yescharacteristic, complemented
559#2290C2×C1111yescharacteristic, complemented
560C23×C11—21no—
561C23×C11—21no—
562C23×C11—21no—
563C23×C11—21no—
564C23×C11—21no—
565C23×C11—21no—
566C23×C11—21no—
567C23×C11—21no—
568C23×C11—21no—
569C23×C11—21no—
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×C11C23×C412yes—
579C23×C11C23×C412yes—
580C23×C11C23×C412yes—
581C23×C11C2511yescharacteristic
582Q8×C11—44no—
583D4×C11—44no—
584D4×C11—44no—
585D4×C11—44no—
586C2×C4×C11—21no—
587C2×C4×C11—21no—
588C2×C4×C11—21no—
589C2×C4×C11—21no—
590C2×C4×C11—21no—
591C2×C4×C11—21no—
592C2×C4×C11—21no—
593C2×C4×C11—21no—
594C2×C4×C11—21no—
595C2×C4×C11—21no—
596C2×C4×C11—21no—
597C2×C4×C11—21no—
598C2×C4×C11—21no—
599C2×C4×C11—21no—
600C2×C4×C11—21no—
601C2×C4×C11—21no—
602C2×C4×C11—21no—
603C2×C4×C11—21no—
604C2×C4×C11—21no—
605C2×C4×C11—21no—
606C2×C4×C11—21no—
607C2×C4×C11—21no—
608C2×C4×C11—21no—
609C2×C4×C11—21no—
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—44no—
657C2×C4×C11—44no—
658C2×C4×C11—44no—
659C2×C4×C11—44no—
660C2×C4×C11—44no—
661C2×C4×C11—44no—
662C2×C4×C11—44no—
663C2×C4×C11—82no—
664C2×C4×C11—82no—
665C2×C4×C11C23×C412yes—
666C2×C4×C11C23×C412yes—
667C2×C4×C11C23×C412yes—
668C2×C4×C11C23×C412yes—
669C2×C4×C11C23×C412yes—
670C2×C4×C11C23×C412yes—
671C2×C4×C11C23×C412yes—
672C2×C4×C11C23×C412yes—
673C2×C4×C11C23×C412yes—
674C2×C4×C11C23×C412yes—
675C2×C4×C11C23×C412yes—
676C2×C4×C11C23×C412yes—
677C2×C4×C11H(5,𝔽2)12yes—
678C2×C4×C112−1+412yes—
679#539C4×C11116yescomplemented
680C2×#126C22×C1111yescharacteristic
681C2×#126C22×C1111yescharacteristic
682C2×#125C22×C1111yescharacteristic
683C2×#125C22×C1111yescharacteristic
684C2×#123C22×C1111yescharacteristic
685C2×#123C22×C1111yescharacteristic
686C2×#123C22×C1111yescharacteristic
687C2×#123C22×C1111yescharacteristic
688C2×C22⋊Q8C22×C1111yescharacteristic
689C2×C22⋊Q8C22×C1111yescharacteristic
690C2×C22⋊Q8C22×C1111yescharacteristic
691C2×#121C22×C1111yescharacteristic
692C2×C4×Q8C22×C1111yescharacteristic
693C2×C4×D4C22×C1111yescharacteristic
694C2×C4×D4C22×C1111yescharacteristic
695C2×C4×D4C22×C1111yescharacteristic
696C2×#117C22×C1111yescharacteristic
697C2×#117C22×C1111yescharacteristic
698C22×C4⋊C4C22×C1111yescharacteristic
699C22×C4⋊C4C22×C1111yescharacteristic
700C22×C42C22×C1111yescharacteristic
701#391C22×C1111yescharacteristic
702#391C22×C1111yescharacteristic
703#391C22×C1111yescharacteristic
704#390C22×C1111yescharacteristic
705#390C22×C1111yescharacteristic
706#390C22×C1111yescharacteristic
707#390C22×C1111yescharacteristic
708#390C22×C1111yescharacteristic
709#389C22×C1111yescharacteristic
710#389C22×C1111yescharacteristic
711#389C22×C1111yescharacteristic
712#389C22×C1111yescharacteristic
713#389C22×C1111yescharacteristic
714#389C22×C1111yescharacteristic
715#389C22×C1111yescharacteristic
716#389C22×C1111yescharacteristic
717#389C22×C1111yescharacteristic
718#389C22×C1111yescharacteristic
719#389C22×C1111yescharacteristic
720#389C22×C1111yescharacteristic
721#389C22×C1111yescharacteristic
722#389C22×C1111yescharacteristic
723#388C22×C1111yescharacteristic
724#388C22×C1111yescharacteristic
725#388C22×C1111yescharacteristic
726#388C22×C1111yescharacteristic
727#388C22×C1111yescharacteristic
728#388C22×C1111yescharacteristic
729#388C22×C1111yescharacteristic
730#388C22×C1111yescharacteristic
731#388C22×C1111yescharacteristic
732#388C22×C1111yescharacteristic
733#388C22×C1111yescharacteristic
734#388C22×C1111yescharacteristic
735#388C22×C1111yescharacteristic
736#388C22×C1111yescharacteristic
737#388C22×C1111yescharacteristic
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#387C22×C1111yescharacteristic
748#387C22×C1111yescharacteristic
749#387C22×C1111yescharacteristic
750#387C22×C1111yescharacteristic
751#387C22×C1111yescharacteristic
752#387C22×C1111yescharacteristic
753#387C22×C1111yescharacteristic
754#387C22×C1111yescharacteristic
755#387C22×C1111yescharacteristic
756#387C22×C1111yescharacteristic
757#387C22×C1111yescharacteristic
758#387C22×C1111yescharacteristic
759#387C22×C1111yescharacteristic
760#387C22×C1111yescharacteristic
761#387C22×C1111yescharacteristic
762#387C22×C1111yescharacteristic
763#387C22×C1111yescharacteristic
764#387C22×C1111yescharacteristic
765#387C22×C1111yescharacteristic
766#387C22×C1111yescharacteristic
767#387C22×C1111yescharacteristic
768#387C22×C1111yescharacteristic
769#387C22×C1111yescharacteristic
770#387C22×C1111yescharacteristic
771#387C22×C1111yescharacteristic
772#387C22×C1111yescharacteristic
773#387C22×C1111yescharacteristic
774#387C22×C1111yescharacteristic
775#386C22×C1111yescharacteristic
776#386C22×C1111yescharacteristic
777#386C22×C1111yescharacteristic
778#386C22×C1111yescharacteristic
779#386C22×C1111yescharacteristic
780#386C22×C1111yescharacteristic
781#385C22×C1111yescharacteristic
782#385C22×C1111yescharacteristic
783#385C22×C1111yescharacteristic
784#385C22×C1111yescharacteristic
785#385C22×C1111yescharacteristic
786#385C22×C1111yescharacteristic
787#385C22×C1111yescharacteristic
788#385C22×C1111yescharacteristic
789#382C22×C1111yescharacteristic
790#382C22×C1111yescharacteristic
791#381C22×C1111yescharacteristic
792#381C22×C1111yescharacteristic
793#381C22×C1111yescharacteristic
794#381C22×C1111yescharacteristic
795#380C22×C1111yescharacteristic
796#380C22×C1111yescharacteristic
797#380C22×C1111yescharacteristic
798#380C22×C1111yescharacteristic
799#380C22×C1111yescharacteristic
800#380C22×C1111yescharacteristic
801C4×C4⋊C4C22×C1111yescharacteristic
802C4×C4⋊C4C22×C1111yescharacteristic
803C4×C4⋊C4C22×C1111yescharacteristic
804C4×C4⋊C4C22×C1111yescharacteristic
805C4×C4⋊C4C22×C1111yescharacteristic
806C4×C4⋊C4C22×C1111yescharacteristic
807C4×C4⋊C4C22×C1111yescharacteristic
808C4×C4⋊C4C22×C1111yescharacteristic
809C4×C4⋊C4C22×C1111yescharacteristic
810C4×C4⋊C4C22×C1111yescharacteristic
811C4×C4⋊C4C22×C1111yescharacteristic
812C4×C4⋊C4C22×C1111yescharacteristic
813C4×C4⋊C4C22×C1111yescharacteristic
814C4×C4⋊C4C22×C1111yescharacteristic
815C4×C4⋊C4C22×C1111yescharacteristic
816C4×C4⋊C4C22×C1111yescharacteristic
817C4×C4⋊C4C22×C1111yescharacteristic
818C4×C4⋊C4C22×C1111yescharacteristic
819C4×C22⋊C4C22×C1111yescharacteristic
820C4×C22⋊C4C22×C1111yescharacteristic
821C4×C22⋊C4C22×C1111yescharacteristic
822C4×C22⋊C4C22×C1111yescharacteristic
823C4×C22⋊C4C22×C1111yescharacteristic
824C4×C22⋊C4C22×C1111yescharacteristic
825C4×C22⋊C4C22×C1111yescharacteristic
826C4×C22⋊C4C22×C1111yescharacteristic
827C4×C22⋊C4C22×C1111yescharacteristic
828C4×C22⋊C4C22×C1111yescharacteristic
829C4×C22⋊C4C22×C1111yescharacteristic
830C4×C22⋊C4C22×C1111yescharacteristic
831C4×C22⋊C4C22×C1111yescharacteristic
832C4×C22⋊C4C22×C1111yescharacteristic
833#376C22×C1111yescharacteristic
834#376C22×C1111yescharacteristic
835C22×C11—22no—
836C22×C11—22no—
837C22×C11—22no—
838C22×C11—22no—
839C22×C11—22no—
840C22×C11—22no—
841C22×C11—22no—
842C22×C11—22no—
843C22×C11—22no—
844C22×C11—41no—
845C22×C11—41no—
846C22×C11—41no—
847C22×C11—41no—
848C22×C11—41no—
849C22×C11—41no—
850C22×C11—41no—
851C22×C11—41no—
852C22×C11—41no—
853C22×C11—41no—
854C22×C11—41no—
855C22×C11—41no—
856C22×C11C24×C411yescharacteristic
857C22×C11C2×H(5,𝔽2)11yescharacteristic
858C22×C11C2×2−1+411yescharacteristic
859C22×C11#58511yescharacteristic
860C22×C11#58511yescharacteristic
861C22×C11#58511yescharacteristic
862C22×C11#58511yescharacteristic
863C4×C11—22no—
864C4×C11—22no—
865C4×C11—22no—
866C4×C11—22no—
867C4×C11—22no—
868C4×C11—22no—
869C4×C11—22no—
870C4×C11—22no—
871C4×C11—22no—
872C4×C11—22no—
873C4×C11—22no—
874C4×C11—22no—
875C4×C11—22no—
876C4×C11—22no—
877C4×C11—41no—
878C4×C11—41no—
879C4×C11—41no—
880C4×C11—41no—
881C4×C11—41no—
882C4×C11—41no—
883C4×C11—41no—
884C4×C11—41no—
885C4×C11—41no—
886C4×C11—41no—
887C4×C11—41no—
888C4×C11—41no—
889C4×C11—41no—
890C4×C11—41no—
891C22×Q8C23×C1111yescharacteristic
892C22×D4C23×C1111yescharacteristic
893C22×D4C23×C1111yescharacteristic
894C22×D4C23×C1111yescharacteristic
895C23×C4C23×C1111yescharacteristic
896C23×C4C23×C1111yescharacteristic
897C23×C4C23×C1111yescharacteristic
898C23×C4C23×C1111yescharacteristic
899C23×C4C23×C1111yescharacteristic
900C23×C4C23×C1111yescharacteristic
901C23×C4C23×C1111yescharacteristic
902C23×C4C23×C1111yescharacteristic
903C23×C4C23×C1111yescharacteristic
904#126C2×C4×C1118yescomplemented
905#126C2×C4×C1118yescomplemented
906#125C2×C4×C1118yescomplemented
907#125C2×C4×C1118yescomplemented
908#123C2×C4×C1118yes—
909#123C2×C4×C1118yes—
910#123C2×C4×C1118yescomplemented
911#123C2×C4×C1118yescomplemented
912C22⋊Q8C2×C4×C1118yescomplemented
913C22⋊Q8C2×C4×C1118yescomplemented
914C22⋊Q8C2×C4×C1118yescomplemented
915#121C2×C4×C1118yes—
916C4×Q8—42no—
917C4×D4—42no—
918C4×D4C2×C4×C1118yescomplemented
919C4×D4C2×C4×C1118yescomplemented
920#117—42no—
921#117—42no—
922C2×C4⋊C4—42no—
923C2×C4⋊C4C2×C4×C1118yescomplemented
924C2×C4⋊C4C23×C1111yescharacteristic
925C2×C4⋊C4C23×C1111yescharacteristic
926C2×C4⋊C4C23×C1111yescharacteristic
927C2×C4⋊C4C23×C1111yescharacteristic
928C2×C4⋊C4C23×C1111yescharacteristic
929C2×C4⋊C4C23×C1111yescharacteristic
930C2×C4⋊C4C23×C1111yescharacteristic
931C2×C4⋊C4C23×C1111yescharacteristic
932C2×C4⋊C4C23×C1111yescharacteristic
933C2×C4⋊C4C23×C1111yescharacteristic
934C2×C4⋊C4C23×C1111yescharacteristic
935C2×C4⋊C4C23×C1111yescharacteristic
936C2×C4⋊C4C23×C1111yescharacteristic
937C2×C4⋊C4C23×C1111yescharacteristic
938C2×C4⋊C4C23×C1111yescharacteristic
939C2×C4⋊C4C23×C1111yescharacteristic
940C2×C4⋊C4C23×C1111yescharacteristic
941C2×C4⋊C4C23×C1111yescharacteristic
942C2×C4⋊C4C23×C1111yescharacteristic
943C2×C4⋊C4C23×C1111yescharacteristic
944C2×C4⋊C4C23×C1111yescharacteristic
945C2×C4⋊C4C23×C1111yescharacteristic
946C2×C4⋊C4C23×C1111yescharacteristic
947C2×C4⋊C4C23×C1111yescharacteristic
948C2×C4⋊C4C23×C1111yescharacteristic
949C2×C4⋊C4C23×C1111yescharacteristic
950C2×C4⋊C4C23×C1111yescharacteristic
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×C22⋊C4C23×C1111yescharacteristic
963C2×C22⋊C4C23×C1111yescharacteristic
964C2×C22⋊C4C23×C1111yescharacteristic
965C2×C22⋊C4C23×C1111yescharacteristic
966C2×C22⋊C4C23×C1111yescharacteristic
967C2×C22⋊C4C23×C1111yescharacteristic
968C2×C22⋊C4C23×C1111yescharacteristic
969C2×C22⋊C4C23×C1111yescharacteristic
970C2×C22⋊C4C23×C1111yescharacteristic
971C2×C22⋊C4C23×C1111yescharacteristic
972C2×C22⋊C4C23×C1111yescharacteristic
973C2×C22⋊C4C23×C1111yescharacteristic
974C2×C22⋊C4C23×C1111yescharacteristic
975C2×C22⋊C4C23×C1111yescharacteristic
976C2×C22⋊C4C23×C1111yescharacteristic
977C2×C22⋊C4C23×C1111yescharacteristic
978C2×C22⋊C4C23×C1111yescharacteristic
979C2×C22⋊C4C23×C1111yescharacteristic
980C2×C22⋊C4C23×C1111yescharacteristic
981C2×C22⋊C4C23×C1111yescharacteristic
982C2×C22⋊C4C23×C1111yescharacteristic
983C2×C22⋊C4C23×C1111yescharacteristic
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×C42—42no—
993C2×C42C23×C1111yescharacteristic
994C2×C42C23×C1111yescharacteristic
995C2×C42C23×C1111yescharacteristic
996C2×C42C23×C1111yescharacteristic
997C2×C42C23×C1111yescharacteristic
998C2×C42C23×C1111yescharacteristic
999C2×C42C23×C1111yescharacteristic
1000C2×C42C23×C1111yescharacteristic
1001C2×C42C23×C1111yescharacteristic
1002C2×C42C23×C1111yescharacteristic
1003C2×C42C23×C1111yescharacteristic
1004C2×C42C23×C1111yescharacteristic
1005C2×C42C23×C1111yescharacteristic
1006C2×C42C23×C1111yescharacteristic
1007C2×C42C23×C1111yescharacteristic
1008C2×C42C23×C1111yescharacteristic
1009C2×C42C23×C1111yescharacteristic
1010C2×C42C23×C1111yescharacteristic
1011C2×C42C23×C1111yescharacteristic
1012C2×C42C23×C1111yescharacteristic
1013C2×C42C23×C1111yescharacteristic
1014C2×C42C23×C1111yescharacteristic
1015C2×C42C23×C1111yescharacteristic
1016C2×C42C23×C1111yescharacteristic
1017C2×C42C23×C1111yescharacteristic
1018C2×C42C23×C1111yescharacteristic
1019#95C23×C1111yescharacteristic
1020#95C23×C1111yescharacteristic
1021#95C23×C1111yescharacteristic
1022#95C23×C1111yescharacteristic
1023#95C23×C1111yescharacteristic
1024#95C23×C1111yescharacteristic
1025#95C23×C1111yescharacteristic
1026#95C23×C1111yescharacteristic
1027#95C23×C1111yescharacteristic
1028#95C23×C1111yescharacteristic
1029#95C23×C1111yescharacteristic
1030#95C23×C1111yescharacteristic
1031#95C23×C1111yescharacteristic
1032#95C23×C1111yescharacteristic
1033#95C23×C1111yescharacteristic
1034#95C23×C1111yescharacteristic
1035#95C23×C1111yescharacteristic
1036#95C23×C1111yescharacteristic
1037#95C23×C1111yescharacteristic
1038#95C23×C1111yescharacteristic
1039#95C23×C1111yescharacteristic
1040#95C23×C1111yescharacteristic
1041#95C23×C1111yescharacteristic
1042#95C23×C1111yescharacteristic
1043#95C23×C1111yescharacteristic
1044#95C23×C1111yescharacteristic
1045#95C23×C1111yescharacteristic
1046#95C23×C1111yescharacteristic
1047#95C23×C1111yescharacteristic
1048#95C23×C1111yescharacteristic
1049#95C23×C1111yescharacteristic
1050#95C23×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
1067C2×C11—42no—
1068C2×C11—42no—
1069C2×C11—42no—
1070C2×C11#342811yescharacteristic
1071C2×C11C4×H(5,𝔽2)11yescharacteristic
1072C2×C11C4×2−1+411yescharacteristic
1073C2×C11#353311yescharacteristic
1074C2×C11#354111yescharacteristic
1075C2×C11#355711yescharacteristic
1076C2×C11#356711yescharacteristic
1077C24C24×C1111yescharacteristic
1078C24C24×C1111yescharacteristic
1079C24C24×C1111yescharacteristic
1080C2×Q8—41no—
1081C2×Q8—41no—
1082C2×Q8C22×C4×C1114yes—
1083C2×D4—41no—
1084C2×D4—41no—
1085C2×D4—41no—
1086C2×D4—41no—
1087C2×D4—41no—
1088C2×D4—41no—
1089C2×D4C22×C4×C1114yes—
1090C2×D4C22×C4×C1114yes—
1091C2×D4C22×C4×C1114yes—
1092C22×C4—22no—
1093C22×C4—22no—
1094C22×C4—22no—
1095C22×C4—41no—
1096C22×C4—41no—
1097C22×C4—41no—
1098C22×C4—41no—
1099C22×C4—41no—
1100C22×C4—41no—
1101C22×C4—41no—
1102C22×C4—41no—
1103C22×C4—41no—
1104C22×C4—41no—
1105C22×C4—41no—
1106C22×C4—41no—
1107C22×C4—41no—
1108C22×C4—41no—
1109C22×C4—41no—
1110C22×C4—41no—
1111C22×C4—41no—
1112C22×C4—41no—
1113C22×C4—41no—
1114C22×C4C22×C4×C1114yes—
1115C22×C4C22×C4×C1114yes—
1116C22×C4C22×C4×C1114yes—
1117C22×C4C22×C4×C1114yes—
1118C22×C4C22×C4×C1114yes—
1119C22×C4C24×C1111yescharacteristic
1120C22×C4C24×C1111yescharacteristic
1121C22×C4C24×C1111yescharacteristic
1122C22×C4C24×C1111yescharacteristic
1123C22×C4C24×C1111yescharacteristic
1124C22×C4C24×C1111yescharacteristic
1125C22×C4C24×C1111yescharacteristic
1126C22×C4C24×C1111yescharacteristic
1127C22×C4C24×C1111yescharacteristic
1128C22×C4C24×C1111yescharacteristic
1129C22×C4C24×C1111yescharacteristic
1130C22×C4C24×C1111yescharacteristic
1131C22×C4C24×C1111yescharacteristic
1132C22×C4C24×C1111yescharacteristic
1133C22×C4C24×C1111yescharacteristic
1134C22×C4C24×C1111yescharacteristic
1135C22×C4C24×C1111yescharacteristic
1136C22×C4C24×C1111yescharacteristic
1137C22×C4C24×C1111yescharacteristic
1138C22×C4C24×C1111yescharacteristic
1139C22×C4C24×C1111yescharacteristic
1140C22×C4C24×C1111yescharacteristic
1141C22×C4C24×C1111yescharacteristic
1142C22×C4C24×C1111yescharacteristic
1143C22×C4C24×C1111yescharacteristic
1144C22×C4C24×C1111yescharacteristic
1145C22×C4C24×C1111yescharacteristic
1146C22×C4C24×C1111yescharacteristic
1147C4⋊C4—22no—
1148C4⋊C4—22no—
1149C4⋊C4—22no—
1150C4⋊C4—22no—
1151C4⋊C4—22no—
1152C4⋊C4—41no—
1153C4⋊C4—41no—
1154C4⋊C4—41no—
1155C4⋊C4—41no—
1156C4⋊C4—41no—
1157C4⋊C4—41no—
1158C4⋊C4—41no—
1159C4⋊C4—41no—
1160C4⋊C4—41no—
1161C4⋊C4—41no—
1162C4⋊C4—41no—
1163C4⋊C4—41no—
1164C4⋊C4—41no—
1165C4⋊C4—41no—
1166C4⋊C4—41no—
1167C4⋊C4—41no—
1168C4⋊C4—41no—
1169C4⋊C4—41no—
1170C4⋊C4—41no—
1171C4⋊C4C22×C4×C1114yes—
1172C4⋊C4C22×C4×C1114yes—
1173C4⋊C4C22×C4×C1114yes—
1174C4⋊C4C22×C4×C1114yes—
1175C4⋊C4C22×C4×C1114yes—
1176C4⋊C4C22×C4×C1114yes—
1177C4⋊C4C22×C4×C1114yes—
1178C4⋊C4C22×C4×C1114yes—
1179C4⋊C4C22×C4×C1114yes—
1180C4⋊C4C22×C4×C1114yes—
1181C4⋊C4C22×C4×C1114yes—
1182C4⋊C4C22×C4×C1114yes—
1183C4⋊C4C22×C4×C1114yes—
1184C4⋊C4C22×C4×C1114yes—
1185C22⋊C4—22no—
1186C22⋊C4—22no—
1187C22⋊C4—22no—
1188C22⋊C4—41no—
1189C22⋊C4—41no—
1190C22⋊C4—41no—
1191C22⋊C4—41no—
1192C22⋊C4—41no—
1193C22⋊C4—41no—
1194C22⋊C4—41no—
1195C22⋊C4—41no—
1196C22⋊C4—41no—
1197C22⋊C4—41no—
1198C22⋊C4—41no—
1199C22⋊C4—41no—
1200C22⋊C4—41no—
1201C22⋊C4—41no—
1202C22⋊C4—41no—
1203C22⋊C4—41no—
1204C22⋊C4—41no—
1205C22⋊C4C22×C4×C1114yes—
1206C22⋊C4C22×C4×C1114yes—
1207C22⋊C4C22×C4×C1114yes—
1208C22⋊C4C22×C4×C1114yes—
1209C22⋊C4C22×C4×C1114yes—
1210C22⋊C4C22×C4×C1114yes—
1211C22⋊C4C22×C4×C1114yes—
1212C22⋊C4C22×C4×C1114yes—
1213C22⋊C4C22×C4×C1114yes—
1214C22⋊C4C22×C4×C1114yes—
1215C42—22no—
1216C42—22no—
1217C42—22no—
1218C42—41no—
1219C42—41no—
1220C42—41no—
1221C42—41no—
1222C42—41no—
1223C42—41no—
1224C42—41no—
1225C42—41no—
1226C42—41no—
1227C42—41no—
1228C42—41no—
1229C42—41no—
1230C42—41no—
1231C42—41no—
1232C42—41no—
1233C42—41no—
1234C42—41no—
1235C42—41no—
1236C42—41no—
1237C42—41no—
1238C42—41no—
1239C42C22×C4×C1114yes—
1240C42C22×C4×C1114yes—
1241C11#3444911yescharacteristic, direct product factor, Sylow
1242C23—21no—
1243C23—21no—
1244C23—21no—
1245C23—21no—
1246C23—21no—
1247C23—21no—
1248C23—21no—
1249C23—21no—
1250C23—21no—
1251C23—21no—
1252C23—21no—
1253C23—21no—
1254C23—21no—
1255C23—21no—
1256C23—21no—
1257C23—21no—
1258C23—21no—
1259C23—21no—
1260C23C23×C4×C1112yes—
1261C23C23×C4×C1112yes—
1262C23C23×C4×C1112yes—
1263C23C25×C1111yescharacteristic
1264Q8—44no—
1265D4—44no—
1266D4—44no—
1267D4—44no—
1268C2×C4—21no—
1269C2×C4—21no—
1270C2×C4—21no—
1271C2×C4—21no—
1272C2×C4—21no—
1273C2×C4—21no—
1274C2×C4—21no—
1275C2×C4—21no—
1276C2×C4—21no—
1277C2×C4—21no—
1278C2×C4—21no—
1279C2×C4—21no—
1280C2×C4—21no—
1281C2×C4—21no—
1282C2×C4—21no—
1283C2×C4—21no—
1284C2×C4—21no—
1285C2×C4—21no—
1286C2×C4—21no—
1287C2×C4—21no—
1288C2×C4—21no—
1289C2×C4—21no—
1290C2×C4—21no—
1291C2×C4—21no—
1292C2×C4—21no—
1293C2×C4—21no—
1294C2×C4—21no—
1295C2×C4—21no—
1296C2×C4—21no—
1297C2×C4—21no—
1298C2×C4—21no—
1299C2×C4—21no—
1300C2×C4—21no—
1301C2×C4—21no—
1302C2×C4—21no—
1303C2×C4—21no—
1304C2×C4—21no—
1305C2×C4—21no—
1306C2×C4—21no—
1307C2×C4—21no—
1308C2×C4—21no—
1309C2×C4—21no—
1310C2×C4—21no—
1311C2×C4—21no—
1312C2×C4—21no—
1313C2×C4—21no—
1314C2×C4—21no—
1315C2×C4—21no—
1316C2×C4—21no—
1317C2×C4—21no—
1318C2×C4—21no—
1319C2×C4—21no—
1320C2×C4—21no—
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—44no—
1339C2×C4—44no—
1340C2×C4—44no—
1341C2×C4—44no—
1342C2×C4—44no—
1343C2×C4—44no—
1344C2×C4—44no—
1345C2×C4—82no—
1346C2×C4—82no—
1347C2×C4C23×C4×C1112yes—
1348C2×C4C23×C4×C1112yes—
1349C2×C4C23×C4×C1112yes—
1350C2×C4C23×C4×C1112yes—
1351C2×C4C23×C4×C1112yes—
1352C2×C4C23×C4×C1112yes—
1353C2×C4C23×C4×C1112yes—
1354C2×C4C23×C4×C1112yes—
1355C2×C4C23×C4×C1112yes—
1356C2×C4C23×C4×C1112yes—
1357C2×C4C23×C4×C1112yes—
1358C2×C4C23×C4×C1112yes—
1359C2×C4C11×H(5,𝔽2)12yes—
1360C2×C4C11×2−1+412yes—
1361C22—22no—
1362C22—22no—
1363C22—22no—
1364C22—22no—
1365C22—22no—
1366C22—22no—
1367C22—22no—
1368C22—22no—
1369C22—22no—
1370C22—41no—
1371C22—41no—
1372C22—41no—
1373C22—41no—
1374C22—41no—
1375C22—41no—
1376C22—41no—
1377C22—41no—
1378C22—41no—
1379C22—41no—
1380C22—41no—
1381C22—41no—
1382C22C24×C4×C1111yescharacteristic
1383C22C2×C11×H(5,𝔽2)11yescharacteristic
1384C22C2×C11×2−1+411yescharacteristic
1385C22C11×#58511yescharacteristic
1386C22C11×#58511yescharacteristic
1387C22C11×#58511yescharacteristic
1388C22C11×#58511yescharacteristic
1389C4—22no—
1390C4—22no—
1391C4—22no—
1392C4—22no—
1393C4—22no—
1394C4—22no—
1395C4—22no—
1396C4—22no—
1397C4—22no—
1398C4—22no—
1399C4—22no—
1400C4—22no—
1401C4—22no—
1402C4—22no—
1403C4—41no—
1404C4—41no—
1405C4—41no—
1406C4—41no—
1407C4—41no—
1408C4—41no—
1409C4—41no—
1410C4—41no—
1411C4—41no—
1412C4—41no—
1413C4—41no—
1414C4—41no—
1415C4—41no—
1416C4—41no—
1417C2—42no—
1418C2—42no—
1419C2—42no—
1420C2C11×#342811yescharacteristic
1421C2C4×C11×H(5,𝔽2)11yescharacteristic
1422C2C4×C11×2−1+411yescharacteristic
1423C2C11×#353311yescharacteristic
1424C2C11×#354111yescharacteristic
1425C2C11×#355711yescharacteristic
1426C2C11×#356711yescharacteristic
subgroupG/H
center, socleC23×C11C25
commutatorC22C24×C4×C11
Frattini, cosocleC23C25×C11
prime radicalC2×C11×#121C22
LCSG ▷ C22 ▷ C1
UCSC1 ◁ C23×C11 ◁ G

Complements

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

NH ≅ G/Ntype
2. C11×#2382C2semidirect
3. C11×#2378C2semidirect
4. C11×#2378C2semidirect
5. C11×#2376C2semidirect
6. C11×#2374C2semidirect
7. C11×#2373C2semidirect
8. C11×#2373C2semidirect
9. C11×#2371C2semidirect
10. C11×#2370C2semidirect
11. C11×#2370C2semidirect
12. C11×#2362C2semidirect
13. C11×#2360C2semidirect
14. C11×#2357C2semidirect
15. C11×#2352C2semidirect
16. C11×#2345C2semidirect
17. C11×#2344C2semidirect
18. C11×#2335C2semidirect
19. C11×#2335C2semidirect
20. C11×#2335C2semidirect
21. C11×#2335C2semidirect
22. C11×#2334C2semidirect
23. C11×#2334C2semidirect
25. C11×#2332C2semidirect
27. C11×#2322C2semidirect
28. C11×#2319C2semidirect
29. C4×C11×C22⋊Q8C2semidirect
30. C4×C11×#123C2semidirect
31. C11×#2290C2semidirect
32. C11×#539C4semidirect
201. C11×#126C2×C4semidirect
202. C11×#126C2×C4semidirect
203. C11×#125C2×C4semidirect
204. C11×#125C2×C4semidirect
207. C11×#123C2×C4semidirect
208. C11×#123C2×C4semidirect
209. C11×C22⋊Q8C2×C4semidirect
210. C11×C22⋊Q8C2×C4semidirect
211. C11×C22⋊Q8C2×C4semidirect
215. C4×D4×C11C2×C4semidirect
216. C4×D4×C11C2×C4semidirect
220. C2×C11×C4⋊C4C2×C4semidirect
364. #34449C11direct (N × H)
530. #2382C2×C11semidirect
531. #2378C2×C11semidirect
532. #2378C2×C11semidirect
533. #2376C2×C11semidirect
534. #2374C2×C11semidirect
535. #2373C2×C11semidirect
536. #2373C2×C11semidirect
537. #2371C2×C11semidirect
538. #2370C2×C11semidirect
539. #2370C2×C11semidirect
540. #2362C2×C11semidirect
541. #2360C2×C11semidirect
542. #2357C2×C11semidirect
543. #2352C2×C11semidirect
544. #2345C2×C11semidirect
545. #2344C2×C11semidirect
546. #2335C2×C11semidirect
547. #2335C2×C11semidirect
548. #2335C2×C11semidirect
549. #2335C2×C11semidirect
550. #2334C2×C11semidirect
551. #2334C2×C11semidirect
553. #2332C2×C11semidirect
555. #2322C2×C11semidirect
556. #2319C2×C11semidirect
557. C4×C22⋊Q8C2×C11semidirect
558. C4×#123C2×C11semidirect
559. #2290C2×C11semidirect
679. #539C4×C11semidirect
904. #126C2×C4×C11semidirect
905. #126C2×C4×C11semidirect
906. #125C2×C4×C11semidirect
907. #125C2×C4×C11semidirect
910. #123C2×C4×C11semidirect
911. #123C2×C4×C11semidirect
912. C22⋊Q8C2×C4×C11semidirect
913. C22⋊Q8C2×C4×C11semidirect
914. C22⋊Q8C2×C4×C11semidirect
918. C4×D4C2×C4×C11semidirect
919. C4×D4C2×C4×C11semidirect
923. C2×C4⋊C4C2×C4×C11semidirect
1241. C11#34449direct (N × H)

Maximal subgroups

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

subgroupindex
C2×C11×#5392
C11×#23822
C11×#23782
C11×#23762
C11×#23742
C11×#23732
C11×#23712
C11×#23702
C11×#23622
C11×#23602
C11×#23572
C11×#23522
C11×#23452
C11×#23442
C11×#23352
C11×#23342
C11×#23332
C11×#23322
C11×#23242
C11×#23222
C11×#23192
C4×C11×C22⋊Q82
C4×C11×#1232
C11×#22902
#3444911