Finite Group Databasebeta

← C11×#34325 #14611518

Subgroups — C11×#34325 #14611518

Order 2816.

2372 conjugacy classes of subgroups.

The subgroup lattice has 1516 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C11×#553C211yesmaximal, characteristic
2C11×#2374C211yesmaximal, characteristic, complemented
3C11×#2373C211yesmaximal, characteristic, complemented
4C11×#2373C211yesmaximal, characteristic, complemented
5C11×#2371C211yesmaximal, characteristic, complemented
6C11×#2364C211yesmaximal, characteristic, complemented
7C11×#2364C211yesmaximal, characteristic, complemented
8C11×#2364C211yesmaximal, characteristic, complemented
9C11×#2361C211yesmaximal, characteristic, complemented
10C11×#2359C211yesmaximal, characteristic, complemented
11C11×#2353C211yesmaximal, characteristic, complemented
12C11×#2353C211yesmaximal, characteristic, complemented
13C11×#2353C211yesmaximal, characteristic, complemented
14C11×#2352C211yesmaximal, characteristic, complemented
15C11×#2345C211yesmaximal, characteristic, complemented
16C11×#2343C211yesmaximal, characteristic, complemented
17C11×#2336C211yesmaximal, characteristic, complemented
18C11×#2335C211yesmaximal, characteristic, complemented
19C11×#2334C211yesmaximal, characteristic, complemented
20C11×#2333C211yesmaximal, characteristic, complemented
21C11×#2325C211yesmaximal, characteristic, complemented
22C11×#2325C211yesmaximal, characteristic, complemented
23C4×C11×#126C211yesmaximal, characteristic, complemented
24C4×C11×#123C211yesmaximal, characteristic, complemented
25C4×C11×#121C211yesmaximal, characteristic, complemented
26C11×#2298C211yesmaximal, characteristic, complemented
27C11×#2290C211yesmaximal, characteristic, complemented
28C2×C11×#387C211yesmaximal, characteristic, complemented
29C11×#2275C211yesmaximal, characteristic, complemented
30C11×#2275C211yesmaximal, characteristic, complemented
31C42×D4×C11C211yesmaximal, characteristic, complemented
32C11×#553C4116yescomplemented
33C2×C11×#126C2211yescharacteristic
34C2×C11×#126C2211yescharacteristic
35C2×C11×#125C2211yescharacteristic
36C2×C11×#123C2211yescharacteristic
37C2×C11×#123C2211yescharacteristic
38C2×C11×#121C2211yescharacteristic
39C2×C11×#121C2211yescharacteristic
40C2×C11×#121C2211yescharacteristic
41C2×C11×#121C2211yescharacteristic
42C2×C4×D4×C11C2211yescharacteristic
43C2×C4×D4×C11C2211yescharacteristic
44C2×C4×D4×C11C2211yescharacteristic
45C2×C4×D4×C11C2211yescharacteristic
46C2×C4×D4×C11C2211yescharacteristic
47C2×C4×D4×C11C2211yescharacteristic
48C2×C4×D4×C11C2211yescharacteristic
49C2×C4×D4×C11C2211yescharacteristic
50C2×C4×D4×C11C2211yescharacteristic
51C2×C4×D4×C11C2211yescharacteristic
52C2×C4×D4×C11C2211yescharacteristic
53C2×C4×D4×C11C2211yescharacteristic
54C2×C11×#117C2211yescharacteristic
55C2×C11×#117C2211yescharacteristic
56C22×C11×C4⋊C4C2211yescharacteristic
57C22×C11×C4⋊C4C2211yescharacteristic
58C22×C42×C11C2211yescharacteristic
59C22×C42×C11C2211yescharacteristic
60C11×#390C2211yescharacteristic
61C11×#390C2211yescharacteristic
62C11×#389C2211yescharacteristic
63C11×#389C2211yescharacteristic
64C11×#389C2211yescharacteristic
65C11×#389C2211yescharacteristic
66C11×#388C2211yescharacteristic
67C11×#388C2211yescharacteristic
68C11×#388C2211yescharacteristic
69C11×#388C2211yescharacteristic
70C11×#388C2211yescharacteristic
71C11×#388C2211yescharacteristic
72C11×#388C2211yescharacteristic
73C11×#388C2211yescharacteristic
74C11×#388C2211yescharacteristic
75C11×#388C2211yescharacteristic
76C11×#388C2211yescharacteristic
77C11×#388C2211yescharacteristic
78C11×#388C2211yescharacteristic
79C11×#388C2211yescharacteristic
80C11×#388C2211yescharacteristic
81C11×#388C2211yescharacteristic
82C11×#388C2211yescharacteristic
83C11×#388C2211yescharacteristic
84C11×#387C2211yescharacteristic
85C11×#387C2211yescharacteristic
86C11×#387C2211yescharacteristic
87C11×#387C2211yescharacteristic
88C11×#387C2211yescharacteristic
89C11×#387C2211yescharacteristic
90C11×#387C2211yescharacteristic
91C11×#387C2211yescharacteristic
92C11×#387C2211yescharacteristic
93C11×#387C2211yescharacteristic
94C11×#387C2211yescharacteristic
95C11×#387C2211yescharacteristic
96C11×#387C2211yescharacteristic
97C11×#387C2211yescharacteristic
98C11×#387C2211yescharacteristic
99C11×#387C2211yescharacteristic
100C11×#387C2211yescharacteristic
101C11×#387C2211yescharacteristic
102C11×#387C2211yescharacteristic
103C11×#387C2211yescharacteristic
104C11×#387C2211yescharacteristic
105C11×#387C2211yescharacteristic
106C11×#387C2211yescharacteristic
107C11×#387C2211yescharacteristic
108C11×#387C2211yescharacteristic
109C11×#387C2211yescharacteristic
110C11×#386C2211yescharacteristic
111C11×#386C2211yescharacteristic
112C11×#386C2211yescharacteristic
113C11×#386C2211yescharacteristic
114C11×#386C2211yescharacteristic
115C11×#386C2211yescharacteristic
116C11×#386C2211yescharacteristic
117C11×#386C2211yescharacteristic
118C11×#386C2211yescharacteristic
119C11×#386C2211yescharacteristic
120C11×#386C2211yescharacteristic
121C11×#386C2211yescharacteristic
122C11×#386C2211yescharacteristic
123C11×#386C2211yescharacteristic
124C11×#385C2211yescharacteristic
125C11×#385C2211yescharacteristic
126C11×#385C2211yescharacteristic
127C11×#385C2211yescharacteristic
128C11×#385C2211yescharacteristic
129C11×#385C2211yescharacteristic
130C11×#383C2211yescharacteristic
131C11×#383C2211yescharacteristic
132C11×#382C2211yescharacteristic
133C11×#381C2211yescharacteristic
134C11×#381C2211yescharacteristic
135C11×#380C2211yescharacteristic
136C11×#380C2211yescharacteristic
137C11×#380C2211yescharacteristic
138C11×#380C2211yescharacteristic
139C4×C11×C4⋊C4C2211yescharacteristic
140C4×C11×C4⋊C4C2211yescharacteristic
141C4×C11×C4⋊C4C2211yescharacteristic
142C4×C11×C4⋊C4C2211yescharacteristic
143C4×C11×C4⋊C4C2211yescharacteristic
144C4×C11×C4⋊C4C2211yescharacteristic
145C4×C11×C4⋊C4C2211yescharacteristic
146C4×C11×C4⋊C4C2211yescharacteristic
147C4×C11×C4⋊C4C2211yescharacteristic
148C4×C11×C4⋊C4C2211yescharacteristic
149C4×C11×C4⋊C4C2211yescharacteristic
150C4×C11×C4⋊C4C2211yescharacteristic
151C4×C11×C4⋊C4C2211yescharacteristic
152C4×C11×C4⋊C4C2211yescharacteristic
153C4×C11×C22⋊C4C2211yescharacteristic
154C4×C11×C22⋊C4C2211yescharacteristic
155C4×C11×C22⋊C4C2211yescharacteristic
156C4×C11×C22⋊C4C2211yescharacteristic
157C4×C11×C22⋊C4C2211yescharacteristic
158C4×C11×C22⋊C4C2211yescharacteristic
159C4×C11×C22⋊C4C2211yescharacteristic
160C4×C11×C22⋊C4C2211yescharacteristic
161C4×C11×C22⋊C4C2211yescharacteristic
162C4×C11×C22⋊C4C2211yescharacteristic
163C4×C11×C22⋊C4C2211yescharacteristic
164C4×C11×C22⋊C4C2211yescharacteristic
165C4×C11×C22⋊C4C2211yescharacteristic
166C4×C11×C22⋊C4C2211yescharacteristic
167C4×C11×C22⋊C4C2211yescharacteristic
168C4×C11×C22⋊C4C2211yescharacteristic
169C4×C11×C22⋊C4C2211yescharacteristic
170C4×C11×C22⋊C4C2211yescharacteristic
171C4×C11×C22⋊C4C2211yescharacteristic
172C4×C11×C22⋊C4C2211yescharacteristic
173C4×C11×C22⋊C4C2211yescharacteristic
174C4×C11×C22⋊C4C2211yescharacteristic
175C4×C11×C22⋊C4C2211yescharacteristic
176C4×C11×C22⋊C4C2211yescharacteristic
177C11×#376C2211yescharacteristic
178C11×#376C2211yescharacteristic
179C11×#376C2211yescharacteristic
180C11×#376C2211yescharacteristic
181C2×C11×#95C2211yescharacteristic
182C2×C11×#95C2211yescharacteristic
183C2×C11×#95C2211yescharacteristic
184C2×C11×#95C2211yescharacteristic
185C2×C11×#95C2211yescharacteristic
186C2×C11×#95C2211yescharacteristic
187C43×C11C2211yescharacteristic
188C22×D4×C11C2311yescharacteristic
189C22×D4×C11C2311yescharacteristic
190C22×D4×C11C2311yescharacteristic
191C22×D4×C11C2311yescharacteristic
192C22×D4×C11C2311yescharacteristic
193C22×D4×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
206C23×C4×C11C2311yescharacteristic
207C23×C4×C11C2311yescharacteristic
208C23×C4×C11C2311yescharacteristic
209C23×C4×C11C2311yescharacteristic
210C11×#126C2×C418yescomplemented
211C11×#126C2×C418yescomplemented
212C11×#125C2×C418yescomplemented
213C11×#123C2×C418yescomplemented
214C11×#123C2×C418yescomplemented
215C11×#121C2×C418yescomplemented
216C11×#121C2×C418yescomplemented
217C11×#121C2×C418yescomplemented
218C11×#121C2×C418yescomplemented
219C4×D4×C11—24no—
220C4×D4×C11—24no—
221C4×D4×C11—24no—
222C4×D4×C11—24no—
223C4×D4×C11—24no—
224C4×D4×C11—24no—
225C4×D4×C11—42no—
226C4×D4×C11—42no—
227C4×D4×C11C2×C418yescomplemented
228C4×D4×C11C2×C418yescomplemented
229C4×D4×C11C2×C418yescomplemented
230C4×D4×C11C2×C418yescomplemented
231C11×#117—42no—
232C11×#117C2×C418yescomplemented
233C2×C11×C4⋊C4—42no—
234C2×C11×C4⋊C4C2×C418yescomplemented
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⋊C4C2311yescharacteristic
262C2×C11×C22⋊C4C2311yescharacteristic
263C2×C11×C22⋊C4C2311yescharacteristic
264C2×C11×C22⋊C4C2311yescharacteristic
265C2×C11×C22⋊C4C2311yescharacteristic
266C2×C11×C22⋊C4C2311yescharacteristic
267C2×C11×C22⋊C4C2311yescharacteristic
268C2×C11×C22⋊C4C2311yescharacteristic
269C2×C11×C22⋊C4C2311yescharacteristic
270C2×C11×C22⋊C4C2311yescharacteristic
271C2×C11×C22⋊C4C2311yescharacteristic
272C2×C11×C22⋊C4C2311yescharacteristic
273C2×C11×C22⋊C4C2311yescharacteristic
274C2×C11×C22⋊C4C2311yescharacteristic
275C2×C11×C22⋊C4C2311yescharacteristic
276C2×C11×C22⋊C4C2311yescharacteristic
277C2×C11×C22⋊C4C2311yescharacteristic
278C2×C11×C22⋊C4C2311yescharacteristic
279C2×C11×C22⋊C4C2311yescharacteristic
280C2×C11×C22⋊C4C2311yescharacteristic
281C2×C11×C22⋊C4C2311yescharacteristic
282C2×C11×C22⋊C4C2311yescharacteristic
283C2×C11×C22⋊C4C2311yescharacteristic
284C2×C11×C22⋊C4C2311yescharacteristic
285C2×C11×C22⋊C4C2311yescharacteristic
286C2×C11×C22⋊C4C2311yescharacteristic
287C2×C11×C22⋊C4C2311yescharacteristic
288C2×C11×C22⋊C4C2311yescharacteristic
289C2×C11×C22⋊C4C2311yescharacteristic
290C2×C11×C22⋊C4C2311yescharacteristic
291C2×C11×C22⋊C4C2311yescharacteristic
292C2×C11×C22⋊C4C2311yescharacteristic
293C2×C42×C11—42no—
294C2×C42×C11—42no—
295C2×C42×C11C2311yescharacteristic
296C2×C42×C11C2311yescharacteristic
297C2×C42×C11C2311yescharacteristic
298C2×C42×C11C2311yescharacteristic
299C2×C42×C11C2311yescharacteristic
300C2×C42×C11C2311yescharacteristic
301C2×C42×C11C2311yescharacteristic
302C2×C42×C11C2311yescharacteristic
303C2×C42×C11C2311yescharacteristic
304C2×C42×C11C2311yescharacteristic
305C2×C42×C11C2311yescharacteristic
306C2×C42×C11C2311yescharacteristic
307C2×C42×C11C2311yescharacteristic
308C2×C42×C11C2311yescharacteristic
309C2×C42×C11C2311yescharacteristic
310C2×C42×C11C2311yescharacteristic
311C2×C42×C11C2311yescharacteristic
312C2×C42×C11C2311yescharacteristic
313C2×C42×C11C2311yescharacteristic
314C2×C42×C11C2311yescharacteristic
315C2×C42×C11C2311yescharacteristic
316C2×C42×C11C2311yescharacteristic
317C2×C42×C11C2311yescharacteristic
318C2×C42×C11C2311yescharacteristic
319C2×C42×C11C2311yescharacteristic
320C2×C42×C11C2311yescharacteristic
321C2×C42×C11C2311yescharacteristic
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
364C11×#95C2311yescharacteristic
365C11×#95C2311yescharacteristic
366C11×#95C2311yescharacteristic
367C11×#95C2311yescharacteristic
368C11×#95C2311yescharacteristic
369C11×#95C2311yescharacteristic
370#34325C1111yesmaximal, characteristic, direct product factor, Sylow
371C24×C11C2411yescharacteristic
372C24×C11C2411yescharacteristic
373C24×C11C2411yescharacteristic
374C24×C11C2411yescharacteristic
375C2×D4×C11—22no—
376C2×D4×C11—22no—
377C2×D4×C11—22no—
378C2×D4×C11—22no—
379C2×D4×C11—22no—
380C2×D4×C11—22no—
381C2×D4×C11—41no—
382C2×D4×C11—41no—
383C2×D4×C11—41no—
384C2×D4×C11—41no—
385C2×D4×C11—41no—
386C2×D4×C11—41no—
387C2×D4×C11C22×C414yes—
388C2×D4×C11C22×C414yes—
389C2×D4×C11C22×C414yes—
390C2×D4×C11C22×C414yes—
391C2×D4×C11C22×C414yes—
392C2×D4×C11C22×C414yes—
393C22×C4×C11—22no—
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—22no—
402C22×C4×C11—22no—
403C22×C4×C11—22no—
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×C11—41no—
429C22×C4×C11—41no—
430C22×C4×C11—41no—
431C22×C4×C11—41no—
432C22×C4×C11—41no—
433C22×C4×C11—41no—
434C22×C4×C11C22×C414yes—
435C22×C4×C11C22×C414yes—
436C22×C4×C11C22×C414yes—
437C22×C4×C11C22×C414yes—
438C22×C4×C11C22×C414yes—
439C22×C4×C11C22×C414yes—
440C22×C4×C11#4114yes—
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
460C22×C4×C11C2411yescharacteristic
461C22×C4×C11C2411yescharacteristic
462C22×C4×C11C2411yescharacteristic
463C22×C4×C11C2411yescharacteristic
464C22×C4×C11C2411yescharacteristic
465C22×C4×C11C2411yescharacteristic
466C22×C4×C11C2411yescharacteristic
467C22×C4×C11C2411yescharacteristic
468C11×C4⋊C4—22no—
469C11×C4⋊C4—22no—
470C11×C4⋊C4—22no—
471C11×C4⋊C4—22no—
472C11×C4⋊C4—22no—
473C11×C4⋊C4—22no—
474C11×C4⋊C4—22no—
475C11×C4⋊C4—22no—
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⋊C4C22×C414yes—
485C11×C4⋊C4C22×C414yes—
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—22no—
502C11×C22⋊C4—22no—
503C11×C22⋊C4—22no—
504C11×C22⋊C4—22no—
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⋊C4C22×C414yes—
516C11×C22⋊C4C22×C414yes—
517C11×C22⋊C4C22×C414yes—
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⋊C4#4114yes—
526C42×C11—22no—
527C42×C11—22no—
528C42×C11—22no—
529C42×C11—22no—
530C42×C11—22no—
531C42×C11—22no—
532C42×C11—22no—
533C42×C11—22no—
534C42×C11—22no—
535C42×C11—41no—
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×#553C2×C1111yescharacteristic
554#2374C2×C1111yescharacteristic, complemented
555#2373C2×C1111yescharacteristic, complemented
556#2373C2×C1111yescharacteristic, complemented
557#2371C2×C1111yescharacteristic, complemented
558#2364C2×C1111yescharacteristic, complemented
559#2364C2×C1111yescharacteristic, complemented
560#2364C2×C1111yescharacteristic, complemented
561#2361C2×C1111yescharacteristic, complemented
562#2359C2×C1111yescharacteristic, complemented
563#2353C2×C1111yescharacteristic, complemented
564#2353C2×C1111yescharacteristic, complemented
565#2353C2×C1111yescharacteristic, complemented
566#2352C2×C1111yescharacteristic, complemented
567#2345C2×C1111yescharacteristic, complemented
568#2343C2×C1111yescharacteristic, complemented
569#2336C2×C1111yescharacteristic, complemented
570#2335C2×C1111yescharacteristic, complemented
571#2334C2×C1111yescharacteristic, complemented
572#2333C2×C1111yescharacteristic, complemented
573#2325C2×C1111yescharacteristic, complemented
574#2325C2×C1111yescharacteristic, complemented
575C4×#126C2×C1111yescharacteristic, complemented
576C4×#123C2×C1111yescharacteristic, complemented
577C4×#121C2×C1111yescharacteristic, complemented
578#2298C2×C1111yescharacteristic, complemented
579#2290C2×C1111yescharacteristic, complemented
580C2×#387C2×C1111yescharacteristic, complemented
581#2275C2×C1111yescharacteristic, complemented
582#2275C2×C1111yescharacteristic, complemented
583C42×D4C2×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×C11C23×C412yes—
607C23×C11C23×C412yes—
608C23×C11C23×C412yes—
609C23×C11C23×C412yes—
610C23×C11C2×#4112yes—
611C23×C11C2×#4112yes—
612C23×C11C2511yescharacteristic
613D4×C11—28no—
614D4×C11—28no—
615D4×C11—28no—
616D4×C11—44no—
617D4×C11—44no—
618D4×C11—44no—
619C2×C4×C11—21no—
620C2×C4×C11—21no—
621C2×C4×C11—21no—
622C2×C4×C11—21no—
623C2×C4×C11—21no—
624C2×C4×C11—21no—
625C2×C4×C11—21no—
626C2×C4×C11—21no—
627C2×C4×C11—21no—
628C2×C4×C11—21no—
629C2×C4×C11—21no—
630C2×C4×C11—21no—
631C2×C4×C11—21no—
632C2×C4×C11—21no—
633C2×C4×C11—21no—
634C2×C4×C11—21no—
635C2×C4×C11—21no—
636C2×C4×C11—21no—
637C2×C4×C11—21no—
638C2×C4×C11—21no—
639C2×C4×C11—21no—
640C2×C4×C11—21no—
641C2×C4×C11—21no—
642C2×C4×C11—21no—
643C2×C4×C11—21no—
644C2×C4×C11—21no—
645C2×C4×C11—21no—
646C2×C4×C11—21no—
647C2×C4×C11—21no—
648C2×C4×C11—21no—
649C2×C4×C11—21no—
650C2×C4×C11—21no—
651C2×C4×C11—21no—
652C2×C4×C11—21no—
653C2×C4×C11—21no—
654C2×C4×C11—21no—
655C2×C4×C11—21no—
656C2×C4×C11—21no—
657C2×C4×C11—21no—
658C2×C4×C11—21no—
659C2×C4×C11—21no—
660C2×C4×C11—21no—
661C2×C4×C11—21no—
662C2×C4×C11—21no—
663C2×C4×C11—21no—
664C2×C4×C11—21no—
665C2×C4×C11—21no—
666C2×C4×C11—21no—
667C2×C4×C11—21no—
668C2×C4×C11—21no—
669C2×C4×C11—21no—
670C2×C4×C11—21no—
671C2×C4×C11—21no—
672C2×C4×C11—21no—
673C2×C4×C11—21no—
674C2×C4×C11—21no—
675C2×C4×C11—21no—
676C2×C4×C11—21no—
677C2×C4×C11—21no—
678C2×C4×C11—21no—
679C2×C4×C11—21no—
680C2×C4×C11—21no—
681C2×C4×C11—21no—
682C2×C4×C11—21no—
683C2×C4×C11—21no—
684C2×C4×C11—44no—
685C2×C4×C11—44no—
686C2×C4×C11—44no—
687C2×C4×C11—44no—
688C2×C4×C11—44no—
689C2×C4×C11—44no—
690C2×C4×C11—44no—
691C2×C4×C11—44no—
692C2×C4×C11—44no—
693C2×C4×C11—44no—
694C2×C4×C11—82no—
695C2×C4×C11—82no—
696C2×C4×C11—82no—
697C2×C4×C11—82no—
698C2×C4×C11—82no—
699C2×C4×C11—82no—
700C2×C4×C11C23×C412yes—
701C2×C4×C11C23×C412yes—
702C2×C4×C11C23×C412yes—
703C2×C4×C11C23×C412yes—
704C2×C4×C11C23×C412yes—
705C2×C4×C11C23×C412yes—
706C2×C4×C11C23×C412yes—
707C2×C4×C11C23×C412yes—
708C2×C4×C11C23×C412yes—
709C2×C4×C11C23×C412yes—
710C2×C4×C11C23×C412yes—
711C2×C4×C11C2×#4112yes—
712C2×C4×C11C2×#4112yes—
713C2×C4×C11C2×#4112yes—
714C2×C4×C11C2×#4112yes—
715C2×C4×C11H(5,𝔽2)12yes—
716#553C4×C11116yescomplemented
717C2×#126C22×C1111yescharacteristic
718C2×#126C22×C1111yescharacteristic
719C2×#125C22×C1111yescharacteristic
720C2×#123C22×C1111yescharacteristic
721C2×#123C22×C1111yescharacteristic
722C2×#121C22×C1111yescharacteristic
723C2×#121C22×C1111yescharacteristic
724C2×#121C22×C1111yescharacteristic
725C2×#121C22×C1111yescharacteristic
726C2×C4×D4C22×C1111yescharacteristic
727C2×C4×D4C22×C1111yescharacteristic
728C2×C4×D4C22×C1111yescharacteristic
729C2×C4×D4C22×C1111yescharacteristic
730C2×C4×D4C22×C1111yescharacteristic
731C2×C4×D4C22×C1111yescharacteristic
732C2×C4×D4C22×C1111yescharacteristic
733C2×C4×D4C22×C1111yescharacteristic
734C2×C4×D4C22×C1111yescharacteristic
735C2×C4×D4C22×C1111yescharacteristic
736C2×C4×D4C22×C1111yescharacteristic
737C2×C4×D4C22×C1111yescharacteristic
738C2×#117C22×C1111yescharacteristic
739C2×#117C22×C1111yescharacteristic
740C22×C4⋊C4C22×C1111yescharacteristic
741C22×C4⋊C4C22×C1111yescharacteristic
742C22×C42C22×C1111yescharacteristic
743C22×C42C22×C1111yescharacteristic
744#390C22×C1111yescharacteristic
745#390C22×C1111yescharacteristic
746#389C22×C1111yescharacteristic
747#389C22×C1111yescharacteristic
748#389C22×C1111yescharacteristic
749#389C22×C1111yescharacteristic
750#388C22×C1111yescharacteristic
751#388C22×C1111yescharacteristic
752#388C22×C1111yescharacteristic
753#388C22×C1111yescharacteristic
754#388C22×C1111yescharacteristic
755#388C22×C1111yescharacteristic
756#388C22×C1111yescharacteristic
757#388C22×C1111yescharacteristic
758#388C22×C1111yescharacteristic
759#388C22×C1111yescharacteristic
760#388C22×C1111yescharacteristic
761#388C22×C1111yescharacteristic
762#388C22×C1111yescharacteristic
763#388C22×C1111yescharacteristic
764#388C22×C1111yescharacteristic
765#388C22×C1111yescharacteristic
766#388C22×C1111yescharacteristic
767#388C22×C1111yescharacteristic
768#387C22×C1111yescharacteristic
769#387C22×C1111yescharacteristic
770#387C22×C1111yescharacteristic
771#387C22×C1111yescharacteristic
772#387C22×C1111yescharacteristic
773#387C22×C1111yescharacteristic
774#387C22×C1111yescharacteristic
775#387C22×C1111yescharacteristic
776#387C22×C1111yescharacteristic
777#387C22×C1111yescharacteristic
778#387C22×C1111yescharacteristic
779#387C22×C1111yescharacteristic
780#387C22×C1111yescharacteristic
781#387C22×C1111yescharacteristic
782#387C22×C1111yescharacteristic
783#387C22×C1111yescharacteristic
784#387C22×C1111yescharacteristic
785#387C22×C1111yescharacteristic
786#387C22×C1111yescharacteristic
787#387C22×C1111yescharacteristic
788#387C22×C1111yescharacteristic
789#387C22×C1111yescharacteristic
790#387C22×C1111yescharacteristic
791#387C22×C1111yescharacteristic
792#387C22×C1111yescharacteristic
793#387C22×C1111yescharacteristic
794#386C22×C1111yescharacteristic
795#386C22×C1111yescharacteristic
796#386C22×C1111yescharacteristic
797#386C22×C1111yescharacteristic
798#386C22×C1111yescharacteristic
799#386C22×C1111yescharacteristic
800#386C22×C1111yescharacteristic
801#386C22×C1111yescharacteristic
802#386C22×C1111yescharacteristic
803#386C22×C1111yescharacteristic
804#386C22×C1111yescharacteristic
805#386C22×C1111yescharacteristic
806#386C22×C1111yescharacteristic
807#386C22×C1111yescharacteristic
808#385C22×C1111yescharacteristic
809#385C22×C1111yescharacteristic
810#385C22×C1111yescharacteristic
811#385C22×C1111yescharacteristic
812#385C22×C1111yescharacteristic
813#385C22×C1111yescharacteristic
814#383C22×C1111yescharacteristic
815#383C22×C1111yescharacteristic
816#382C22×C1111yescharacteristic
817#381C22×C1111yescharacteristic
818#381C22×C1111yescharacteristic
819#380C22×C1111yescharacteristic
820#380C22×C1111yescharacteristic
821#380C22×C1111yescharacteristic
822#380C22×C1111yescharacteristic
823C4×C4⋊C4C22×C1111yescharacteristic
824C4×C4⋊C4C22×C1111yescharacteristic
825C4×C4⋊C4C22×C1111yescharacteristic
826C4×C4⋊C4C22×C1111yescharacteristic
827C4×C4⋊C4C22×C1111yescharacteristic
828C4×C4⋊C4C22×C1111yescharacteristic
829C4×C4⋊C4C22×C1111yescharacteristic
830C4×C4⋊C4C22×C1111yescharacteristic
831C4×C4⋊C4C22×C1111yescharacteristic
832C4×C4⋊C4C22×C1111yescharacteristic
833C4×C4⋊C4C22×C1111yescharacteristic
834C4×C4⋊C4C22×C1111yescharacteristic
835C4×C4⋊C4C22×C1111yescharacteristic
836C4×C4⋊C4C22×C1111yescharacteristic
837C4×C22⋊C4C22×C1111yescharacteristic
838C4×C22⋊C4C22×C1111yescharacteristic
839C4×C22⋊C4C22×C1111yescharacteristic
840C4×C22⋊C4C22×C1111yescharacteristic
841C4×C22⋊C4C22×C1111yescharacteristic
842C4×C22⋊C4C22×C1111yescharacteristic
843C4×C22⋊C4C22×C1111yescharacteristic
844C4×C22⋊C4C22×C1111yescharacteristic
845C4×C22⋊C4C22×C1111yescharacteristic
846C4×C22⋊C4C22×C1111yescharacteristic
847C4×C22⋊C4C22×C1111yescharacteristic
848C4×C22⋊C4C22×C1111yescharacteristic
849C4×C22⋊C4C22×C1111yescharacteristic
850C4×C22⋊C4C22×C1111yescharacteristic
851C4×C22⋊C4C22×C1111yescharacteristic
852C4×C22⋊C4C22×C1111yescharacteristic
853C4×C22⋊C4C22×C1111yescharacteristic
854C4×C22⋊C4C22×C1111yescharacteristic
855C4×C22⋊C4C22×C1111yescharacteristic
856C4×C22⋊C4C22×C1111yescharacteristic
857C4×C22⋊C4C22×C1111yescharacteristic
858C4×C22⋊C4C22×C1111yescharacteristic
859C4×C22⋊C4C22×C1111yescharacteristic
860C4×C22⋊C4C22×C1111yescharacteristic
861#376C22×C1111yescharacteristic
862#376C22×C1111yescharacteristic
863#376C22×C1111yescharacteristic
864#376C22×C1111yescharacteristic
865C2×#95C22×C1111yescharacteristic
866C2×#95C22×C1111yescharacteristic
867C2×#95C22×C1111yescharacteristic
868C2×#95C22×C1111yescharacteristic
869C2×#95C22×C1111yescharacteristic
870C2×#95C22×C1111yescharacteristic
871C43C22×C1111yescharacteristic
872C22×C11—22no—
873C22×C11—22no—
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—41no—
888C22×C11—41no—
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×C11C4×#4114yes—
900C22×C11C24×C411yescharacteristic
901C22×C11C22×#4111yescharacteristic
902C22×C11C22×#4111yescharacteristic
903C22×C11C2×H(5,𝔽2)11yescharacteristic
904C22×C11#58511yescharacteristic
905C22×C11#58511yescharacteristic
906C22×C11#58511yescharacteristic
907C4×C11—22no—
908C4×C11—22no—
909C4×C11—22no—
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—22no—
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—
934C22×D4C23×C1111yescharacteristic
935C22×D4C23×C1111yescharacteristic
936C22×D4C23×C1111yescharacteristic
937C22×D4C23×C1111yescharacteristic
938C22×D4C23×C1111yescharacteristic
939C22×D4C23×C1111yescharacteristic
940C23×C4C23×C1111yescharacteristic
941C23×C4C23×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
955C23×C4C23×C1111yescharacteristic
956#126C2×C4×C1118yescomplemented
957#126C2×C4×C1118yescomplemented
958#125C2×C4×C1118yescomplemented
959#123C2×C4×C1118yescomplemented
960#123C2×C4×C1118yescomplemented
961#121C2×C4×C1118yescomplemented
962#121C2×C4×C1118yescomplemented
963#121C2×C4×C1118yescomplemented
964#121C2×C4×C1118yescomplemented
965C4×D4—24no—
966C4×D4—24no—
967C4×D4—24no—
968C4×D4—24no—
969C4×D4—24no—
970C4×D4—24no—
971C4×D4—42no—
972C4×D4—42no—
973C4×D4C2×C4×C1118yescomplemented
974C4×D4C2×C4×C1118yescomplemented
975C4×D4C2×C4×C1118yescomplemented
976C4×D4C2×C4×C1118yescomplemented
977#117—42no—
978#117C2×C4×C1118yescomplemented
979C2×C4⋊C4—42no—
980C2×C4⋊C4C2×C4×C1118yescomplemented
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×C22⋊C4C23×C1111yescharacteristic
1008C2×C22⋊C4C23×C1111yescharacteristic
1009C2×C22⋊C4C23×C1111yescharacteristic
1010C2×C22⋊C4C23×C1111yescharacteristic
1011C2×C22⋊C4C23×C1111yescharacteristic
1012C2×C22⋊C4C23×C1111yescharacteristic
1013C2×C22⋊C4C23×C1111yescharacteristic
1014C2×C22⋊C4C23×C1111yescharacteristic
1015C2×C22⋊C4C23×C1111yescharacteristic
1016C2×C22⋊C4C23×C1111yescharacteristic
1017C2×C22⋊C4C23×C1111yescharacteristic
1018C2×C22⋊C4C23×C1111yescharacteristic
1019C2×C22⋊C4C23×C1111yescharacteristic
1020C2×C22⋊C4C23×C1111yescharacteristic
1021C2×C22⋊C4C23×C1111yescharacteristic
1022C2×C22⋊C4C23×C1111yescharacteristic
1023C2×C22⋊C4C23×C1111yescharacteristic
1024C2×C22⋊C4C23×C1111yescharacteristic
1025C2×C22⋊C4C23×C1111yescharacteristic
1026C2×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×C42—42no—
1040C2×C42—42no—
1041C2×C42C23×C1111yescharacteristic
1042C2×C42C23×C1111yescharacteristic
1043C2×C42C23×C1111yescharacteristic
1044C2×C42C23×C1111yescharacteristic
1045C2×C42C23×C1111yescharacteristic
1046C2×C42C23×C1111yescharacteristic
1047C2×C42C23×C1111yescharacteristic
1048C2×C42C23×C1111yescharacteristic
1049C2×C42C23×C1111yescharacteristic
1050C2×C42C23×C1111yescharacteristic
1051C2×C42C23×C1111yescharacteristic
1052C2×C42C23×C1111yescharacteristic
1053C2×C42C23×C1111yescharacteristic
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
1068#95C23×C1111yescharacteristic
1069#95C23×C1111yescharacteristic
1070#95C23×C1111yescharacteristic
1071#95C23×C1111yescharacteristic
1072#95C23×C1111yescharacteristic
1073#95C23×C1111yescharacteristic
1074#95C23×C1111yescharacteristic
1075#95C23×C1111yescharacteristic
1076#95C23×C1111yescharacteristic
1077#95C23×C1111yescharacteristic
1078#95C23×C1111yescharacteristic
1079#95C23×C1111yescharacteristic
1080#95C23×C1111yescharacteristic
1081#95C23×C1111yescharacteristic
1082#95C23×C1111yescharacteristic
1083#95C23×C1111yescharacteristic
1084#95C23×C1111yescharacteristic
1085#95C23×C1111yescharacteristic
1086#95C23×C1111yescharacteristic
1087#95C23×C1111yescharacteristic
1088#95C23×C1111yescharacteristic
1089#95C23×C1111yescharacteristic
1090#95C23×C1111yescharacteristic
1091#95C23×C1111yescharacteristic
1092#95C23×C1111yescharacteristic
1093#95C23×C1111yescharacteristic
1094#95C23×C1111yescharacteristic
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
1116C2×C11—24no—
1117C2×C11—42no—
1118C2×C11—42no—
1119C2×C11—42no—
1120C2×C11C2×C4×#4111yescharacteristic
1121C2×C11#342811yescharacteristic
1122C2×C11C4×H(5,𝔽2)11yescharacteristic
1123C2×C11#350511yescharacteristic
1124C2×C11#351211yescharacteristic
1125C2×C11#351311yescharacteristic
1126C2×C11#352111yescharacteristic
1127C24C24×C1111yescharacteristic
1128C24C24×C1111yescharacteristic
1129C24C24×C1111yescharacteristic
1130C24C24×C1111yescharacteristic
1131C2×D4—22no—
1132C2×D4—22no—
1133C2×D4—22no—
1134C2×D4—22no—
1135C2×D4—22no—
1136C2×D4—22no—
1137C2×D4—41no—
1138C2×D4—41no—
1139C2×D4—41no—
1140C2×D4—41no—
1141C2×D4—41no—
1142C2×D4—41no—
1143C2×D4C22×C4×C1114yes—
1144C2×D4C22×C4×C1114yes—
1145C2×D4C22×C4×C1114yes—
1146C2×D4C22×C4×C1114yes—
1147C2×D4C22×C4×C1114yes—
1148C2×D4C22×C4×C1114yes—
1149C22×C4—22no—
1150C22×C4—22no—
1151C22×C4—22no—
1152C22×C4—22no—
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×C4—41no—
1188C22×C4—41no—
1189C22×C4—41no—
1190C22×C4C22×C4×C1114yes—
1191C22×C4C22×C4×C1114yes—
1192C22×C4C22×C4×C1114yes—
1193C22×C4C22×C4×C1114yes—
1194C22×C4C22×C4×C1114yes—
1195C22×C4C22×C4×C1114yes—
1196C22×C4C11×#4114yes—
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
1219C22×C4C24×C1111yescharacteristic
1220C22×C4C24×C1111yescharacteristic
1221C22×C4C24×C1111yescharacteristic
1222C22×C4C24×C1111yescharacteristic
1223C22×C4C24×C1111yescharacteristic
1224C4⋊C4—22no—
1225C4⋊C4—22no—
1226C4⋊C4—22no—
1227C4⋊C4—22no—
1228C4⋊C4—22no—
1229C4⋊C4—22no—
1230C4⋊C4—22no—
1231C4⋊C4—22no—
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⋊C4C22×C4×C1114yes—
1241C4⋊C4C22×C4×C1114yes—
1242C4⋊C4C22×C4×C1114yes—
1243C4⋊C4C22×C4×C1114yes—
1244C4⋊C4C22×C4×C1114yes—
1245C4⋊C4C22×C4×C1114yes—
1246C4⋊C4C22×C4×C1114yes—
1247C4⋊C4C22×C4×C1114yes—
1248C4⋊C4C22×C4×C1114yes—
1249C4⋊C4C22×C4×C1114yes—
1250C22⋊C4—22no—
1251C22⋊C4—22no—
1252C22⋊C4—22no—
1253C22⋊C4—22no—
1254C22⋊C4—22no—
1255C22⋊C4—22no—
1256C22⋊C4—22no—
1257C22⋊C4—22no—
1258C22⋊C4—22no—
1259C22⋊C4—22no—
1260C22⋊C4—22no—
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⋊C4C22×C4×C1114yes—
1272C22⋊C4C22×C4×C1114yes—
1273C22⋊C4C22×C4×C1114yes—
1274C22⋊C4C22×C4×C1114yes—
1275C22⋊C4C22×C4×C1114yes—
1276C22⋊C4C22×C4×C1114yes—
1277C22⋊C4C22×C4×C1114yes—
1278C22⋊C4C22×C4×C1114yes—
1279C22⋊C4C22×C4×C1114yes—
1280C22⋊C4C22×C4×C1114yes—
1281C22⋊C4C11×#4114yes—
1282C42—22no—
1283C42—22no—
1284C42—22no—
1285C42—22no—
1286C42—22no—
1287C42—22no—
1288C42—22no—
1289C42—22no—
1290C42—22no—
1291C42—41no—
1292C42—41no—
1293C42—41no—
1294C42—41no—
1295C42—41no—
1296C42—41no—
1297C42—41no—
1298C42—41no—
1299C42—41no—
1300C42—41no—
1301C42—41no—
1302C42—41no—
1303C42—41no—
1304C42—41no—
1305C42—41no—
1306C42C22×C4×C1114yes—
1307C42C22×C4×C1114yes—
1308C42C22×C4×C1114yes—
1309C11#3432511yescharacteristic, direct product factor, Sylow
1310C23—21no—
1311C23—21no—
1312C23—21no—
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—
1332C23C23×C4×C1112yes—
1333C23C23×C4×C1112yes—
1334C23C23×C4×C1112yes—
1335C23C23×C4×C1112yes—
1336C23C2×C11×#4112yes—
1337C23C2×C11×#4112yes—
1338C23C25×C1111yescharacteristic
1339D4—28no—
1340D4—28no—
1341D4—28no—
1342D4—44no—
1343D4—44no—
1344D4—44no—
1345C2×C4—21no—
1346C2×C4—21no—
1347C2×C4—21no—
1348C2×C4—21no—
1349C2×C4—21no—
1350C2×C4—21no—
1351C2×C4—21no—
1352C2×C4—21no—
1353C2×C4—21no—
1354C2×C4—21no—
1355C2×C4—21no—
1356C2×C4—21no—
1357C2×C4—21no—
1358C2×C4—21no—
1359C2×C4—21no—
1360C2×C4—21no—
1361C2×C4—21no—
1362C2×C4—21no—
1363C2×C4—21no—
1364C2×C4—21no—
1365C2×C4—21no—
1366C2×C4—21no—
1367C2×C4—21no—
1368C2×C4—21no—
1369C2×C4—21no—
1370C2×C4—21no—
1371C2×C4—21no—
1372C2×C4—21no—
1373C2×C4—21no—
1374C2×C4—21no—
1375C2×C4—21no—
1376C2×C4—21no—
1377C2×C4—21no—
1378C2×C4—21no—
1379C2×C4—21no—
1380C2×C4—21no—
1381C2×C4—21no—
1382C2×C4—21no—
1383C2×C4—21no—
1384C2×C4—21no—
1385C2×C4—21no—
1386C2×C4—21no—
1387C2×C4—21no—
1388C2×C4—21no—
1389C2×C4—21no—
1390C2×C4—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—44no—
1411C2×C4—44no—
1412C2×C4—44no—
1413C2×C4—44no—
1414C2×C4—44no—
1415C2×C4—44no—
1416C2×C4—44no—
1417C2×C4—44no—
1418C2×C4—44no—
1419C2×C4—44no—
1420C2×C4—82no—
1421C2×C4—82no—
1422C2×C4—82no—
1423C2×C4—82no—
1424C2×C4—82no—
1425C2×C4—82no—
1426C2×C4C23×C4×C1112yes—
1427C2×C4C23×C4×C1112yes—
1428C2×C4C23×C4×C1112yes—
1429C2×C4C23×C4×C1112yes—
1430C2×C4C23×C4×C1112yes—
1431C2×C4C23×C4×C1112yes—
1432C2×C4C23×C4×C1112yes—
1433C2×C4C23×C4×C1112yes—
1434C2×C4C23×C4×C1112yes—
1435C2×C4C23×C4×C1112yes—
1436C2×C4C23×C4×C1112yes—
1437C2×C4C2×C11×#4112yes—
1438C2×C4C2×C11×#4112yes—
1439C2×C4C2×C11×#4112yes—
1440C2×C4C2×C11×#4112yes—
1441C2×C4C11×H(5,𝔽2)12yes—
1442C22—22no—
1443C22—22no—
1444C22—22no—
1445C22—22no—
1446C22—22no—
1447C22—22no—
1448C22—22no—
1449C22—22no—
1450C22—22no—
1451C22—22no—
1452C22—22no—
1453C22—22no—
1454C22—22no—
1455C22—22no—
1456C22—22no—
1457C22—41no—
1458C22—41no—
1459C22—41no—
1460C22—41no—
1461C22—41no—
1462C22—41no—
1463C22—41no—
1464C22—41no—
1465C22—41no—
1466C22—41no—
1467C22—41no—
1468C22—41no—
1469C22C4×C11×#4114yes—
1470C22C24×C4×C1111yescharacteristic
1471C22C22×C11×#4111yescharacteristic
1472C22C22×C11×#4111yescharacteristic
1473C22C2×C11×H(5,𝔽2)11yescharacteristic
1474C22C11×#58511yescharacteristic
1475C22C11×#58511yescharacteristic
1476C22C11×#58511yescharacteristic
1477C4—22no—
1478C4—22no—
1479C4—22no—
1480C4—22no—
1481C4—22no—
1482C4—22no—
1483C4—22no—
1484C4—22no—
1485C4—22no—
1486C4—22no—
1487C4—22no—
1488C4—22no—
1489C4—22no—
1490C4—22no—
1491C4—22no—
1492C4—22no—
1493C4—41no—
1494C4—41no—
1495C4—41no—
1496C4—41no—
1497C4—41no—
1498C4—41no—
1499C4—41no—
1500C4—41no—
1501C4—41no—
1502C4—41no—
1503C4—41no—
1504C2—24no—
1505C2—42no—
1506C2—42no—
1507C2—42no—
1508C2C2×C4×C11×#4111yescharacteristic
1509C2C11×#342811yescharacteristic
1510C2C4×C11×H(5,𝔽2)11yescharacteristic
1511C2C11×#350511yescharacteristic
1512C2C11×#351211yescharacteristic
1513C2C11×#351311yescharacteristic
1514C2C11×#352111yescharacteristic
subgroupG/H
center, socleC23×C11C25
commutatorC22C24×C4×C11
Frattini, cosocleC23C25×C11
prime radicalC2×C11×#553C2
LCSG ▷ C22 ▷ C1
UCSC1 ◁ C23×C11 ◁ G

Complements

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

NH ≅ G/Ntype
2. C11×#2374C2semidirect
3. C11×#2373C2semidirect
4. C11×#2373C2semidirect
5. C11×#2371C2semidirect
6. C11×#2364C2semidirect
7. C11×#2364C2semidirect
8. C11×#2364C2semidirect
9. C11×#2361C2semidirect
10. C11×#2359C2semidirect
11. C11×#2353C2semidirect
12. C11×#2353C2semidirect
13. C11×#2353C2semidirect
14. C11×#2352C2semidirect
15. C11×#2345C2semidirect
16. C11×#2343C2semidirect
17. C11×#2336C2semidirect
18. C11×#2335C2semidirect
19. C11×#2334C2semidirect
20. C11×#2333C2semidirect
21. C11×#2325C2semidirect
22. C11×#2325C2semidirect
23. C4×C11×#126C2semidirect
24. C4×C11×#123C2semidirect
25. C4×C11×#121C2semidirect
26. C11×#2298C2semidirect
27. C11×#2290C2semidirect
28. C2×C11×#387C2semidirect
29. C11×#2275C2semidirect
30. C11×#2275C2semidirect
31. C42×D4×C11C2semidirect
32. C11×#553C4semidirect
210. C11×#126C2×C4semidirect
211. C11×#126C2×C4semidirect
212. C11×#125C2×C4semidirect
213. C11×#123C2×C4semidirect
214. C11×#123C2×C4semidirect
215. C11×#121C2×C4semidirect
216. C11×#121C2×C4semidirect
217. C11×#121C2×C4semidirect
218. C11×#121C2×C4semidirect
227. C4×D4×C11C2×C4semidirect
228. C4×D4×C11C2×C4semidirect
229. C4×D4×C11C2×C4semidirect
230. C4×D4×C11C2×C4semidirect
232. C11×#117C2×C4semidirect
234. C2×C11×C4⋊C4C2×C4semidirect
370. #34325C11direct (N × H)
554. #2374C2×C11semidirect
555. #2373C2×C11semidirect
556. #2373C2×C11semidirect
557. #2371C2×C11semidirect
558. #2364C2×C11semidirect
559. #2364C2×C11semidirect
560. #2364C2×C11semidirect
561. #2361C2×C11semidirect
562. #2359C2×C11semidirect
563. #2353C2×C11semidirect
564. #2353C2×C11semidirect
565. #2353C2×C11semidirect
566. #2352C2×C11semidirect
567. #2345C2×C11semidirect
568. #2343C2×C11semidirect
569. #2336C2×C11semidirect
570. #2335C2×C11semidirect
571. #2334C2×C11semidirect
572. #2333C2×C11semidirect
573. #2325C2×C11semidirect
574. #2325C2×C11semidirect
575. C4×#126C2×C11semidirect
576. C4×#123C2×C11semidirect
577. C4×#121C2×C11semidirect
578. #2298C2×C11semidirect
579. #2290C2×C11semidirect
580. C2×#387C2×C11semidirect
581. #2275C2×C11semidirect
582. #2275C2×C11semidirect
583. C42×D4C2×C11semidirect
716. #553C4×C11semidirect
956. #126C2×C4×C11semidirect
957. #126C2×C4×C11semidirect
958. #125C2×C4×C11semidirect
959. #123C2×C4×C11semidirect
960. #123C2×C4×C11semidirect
961. #121C2×C4×C11semidirect
962. #121C2×C4×C11semidirect
963. #121C2×C4×C11semidirect
964. #121C2×C4×C11semidirect
973. C4×D4C2×C4×C11semidirect
974. C4×D4C2×C4×C11semidirect
975. C4×D4C2×C4×C11semidirect
976. C4×D4C2×C4×C11semidirect
978. #117C2×C4×C11semidirect
980. C2×C4⋊C4C2×C4×C11semidirect
1309. C11#34325direct (N × H)

Maximal subgroups

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

subgroupindex
C2×C11×#5532
C11×#23742
C11×#23732
C11×#23712
C11×#23642
C11×#23612
C11×#23592
C11×#23532
C11×#23522
C11×#23452
C11×#23432
C11×#23362
C11×#23352
C11×#23342
C11×#23332
C11×#23252
C4×C11×#1262
C4×C11×#1232
C4×C11×#1212
C11×#22982
C11×#22902
C2×C11×#3872
C11×#22752
C42×D4×C112
#3432511