Finite Group Databasebeta

← C11×#36726 #14613919

Subgroups — C11×#36726 #14613919

Order 2816.

1950 conjugacy classes of subgroups.

The subgroup lattice has 1542 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C11×#2849C211yesmaximal, characteristic, complemented
2C11×#2849C211yesmaximal, characteristic, complemented
3C11×#2746C211yesmaximal, characteristic, complemented
4C11×#2745C211yesmaximal, characteristic, complemented
5C11×#2744C211yesmaximal, characteristic, complemented
6C11×#2743C211yesmaximal, characteristic, complemented
7C11×#2740C211yesmaximal, characteristic, complemented
8C11×#2739C211yesmaximal, characteristic, complemented
9C11×#2738C211yesmaximal, characteristic, complemented
10C11×#2737C211yesmaximal, characteristic, complemented
11C11×#2707C211yesmaximal, characteristic, complemented
12C11×#2706C211yesmaximal, characteristic, complemented
13C11×#2705C211yesmaximal, characteristic, complemented
14C11×#2696C211yesmaximal, characteristic, complemented
15C11×#2695C211yesmaximal, characteristic, complemented
16C11×#2694C211yesmaximal, characteristic, complemented
17C11×#2693C211yesmaximal, characteristic, complemented
18C11×#2687C211yesmaximal, characteristic, complemented
19C11×#2626C211yesmaximal, characteristic, complemented
20C11×#2617C211yesmaximal, characteristic
21C11×#2510C211yesmaximal, characteristic, complemented
22C11×#2505C211yesmaximal, characteristic, complemented
23C11×#2481C211yesmaximal, characteristic, complemented
24C11×#2473C211yesmaximal, characteristic, complemented
25C11×#2450C211yesmaximal, characteristic, complemented
26C11×#2449C211yesmaximal, characteristic, complemented
27C11×#2444C211yesmaximal, characteristic, complemented
28C11×#2443C211yesmaximal, characteristic, complemented
29C11×#2321C211yesmaximal, characteristic, complemented
30C11×#2321C211yesmaximal, characteristic, complemented
31C2×C11×#380C211yesmaximal, characteristic, complemented
32C24×C4×C11C2211yescharacteristic
33C2×C11×#126C2211yescharacteristic, complemented
34C2×C11×#125C2211yescharacteristic, complemented
35C2×C11×#123C2211yescharacteristic
36C2×C11×#123C2211yescharacteristic
37C2×C11×#123C2211yescharacteristic
38C2×C11×#123C2211yescharacteristic
39C2×C11×#123C2211yescharacteristic, complemented
40C2×C11×C22⋊Q8C2211yescharacteristic
41C2×C11×C22⋊Q8C2211yescharacteristic, complemented
42C2×C11×#121C2211yescharacteristic
43C2×C11×#120C2211yescharacteristic
44C2×C11×#120C2211yescharacteristic
45C2×C4×D4×C11C2211yescharacteristic
46C2×C4×D4×C11C2211yescharacteristic
47C22×C11×C4⋊C4C2211yescharacteristic
48C22×C11×C4⋊C4C2211yescharacteristic
49C22×C11×C22⋊C4C2211yescharacteristic
50C22×C11×C22⋊C4C2211yescharacteristic
51C11×#401C2211yescharacteristic, complemented
52C11×#400C2211yescharacteristic, complemented
53C11×#400C2211yescharacteristic, complemented
54C11×#400C2211yescharacteristic, complemented
55C11×#400C2211yescharacteristic, complemented
56C11×#400C2211yescharacteristic, complemented
57C11×#400C2211yescharacteristic, complemented
58C11×#400C2211yescharacteristic, complemented
59C11×#400C2211yescharacteristic, complemented
60C11×#400C2211yescharacteristic, complemented
61C11×#399C2211yescharacteristic
62C11×#399C2211yescharacteristic
63C11×#399C2211yescharacteristic, complemented
64C11×#399C2211yescharacteristic, complemented
65C11×#398C2211yescharacteristic, complemented
66C11×#398C2211yescharacteristic, complemented
67C11×#398C2211yescharacteristic, complemented
68C11×#398C2211yescharacteristic, complemented
69C11×#398C2211yescharacteristic, complemented
70C11×#398C2211yescharacteristic, complemented
71C11×#398C2211yescharacteristic, complemented
72C11×#397C2211yescharacteristic
73C11×#397C2211yescharacteristic
74C11×#397C2211yescharacteristic, complemented
75C11×#397C2211yescharacteristic, complemented
76C11×#397C2211yescharacteristic, complemented
77C11×#397C2211yescharacteristic, complemented
78C11×#397C2211yescharacteristic, complemented
79C11×#397C2211yescharacteristic, complemented
80C11×#396C2211yescharacteristic
81C11×#396C2211yescharacteristic
82C11×#396C2211yescharacteristic
83C11×#396C2211yescharacteristic
84C11×#396C2211yescharacteristic, complemented
85C11×#396C2211yescharacteristic, complemented
86C11×#396C2211yescharacteristic, complemented
87C11×#395C2211yescharacteristic, complemented
88C11×#394C2211yescharacteristic
89C11×#394C2211yescharacteristic
90C11×#394C2211yescharacteristic
91C11×#394C2211yescharacteristic
92C11×#394C2211yescharacteristic, complemented
93C11×#394C2211yescharacteristic, complemented
94C11×#393C2211yescharacteristic
95C11×#393C2211yescharacteristic
96C11×#393C2211yescharacteristic, complemented
97C11×#392C2211yescharacteristic
98C11×#392C2211yescharacteristic
99C11×#391C2211yescharacteristic, complemented
100C11×#390C2211yescharacteristic
101C11×#390C2211yescharacteristic
102C11×#390C2211yescharacteristic
103C11×#390C2211yescharacteristic
104C11×#389C2211yescharacteristic, complemented
105C11×#389C2211yescharacteristic, complemented
106C11×#389C2211yescharacteristic, complemented
107C11×#388C2211yescharacteristic
108C11×#388C2211yescharacteristic
109C11×#388C2211yescharacteristic
110C11×#388C2211yescharacteristic
111C11×#388C2211yescharacteristic
112C11×#388C2211yescharacteristic
113C11×#388C2211yescharacteristic
114C11×#388C2211yescharacteristic
115C11×#388C2211yescharacteristic, complemented
116C11×#388C2211yescharacteristic, complemented
117C11×#388C2211yescharacteristic, complemented
118C11×#388C2211yescharacteristic, complemented
119C11×#388C2211yescharacteristic, complemented
120C11×#387C2211yescharacteristic, complemented
121C11×#387C2211yescharacteristic, complemented
122C11×#387C2211yescharacteristic, complemented
123C11×#387C2211yescharacteristic, complemented
124C11×#387C2211yescharacteristic, complemented
125C11×#387C2211yescharacteristic, complemented
126C11×#387C2211yescharacteristic, complemented
127C11×#387C2211yescharacteristic, complemented
128C11×#387C2211yescharacteristic, complemented
129C11×#387C2211yescharacteristic, complemented
130C11×#387C2211yescharacteristic, complemented
131C11×#386C2211yescharacteristic
132C11×#386C2211yescharacteristic
133C11×#386C2211yescharacteristic
134C11×#386C2211yescharacteristic
135C11×#386C2211yescharacteristic
136C11×#386C2211yescharacteristic
137C11×#386C2211yescharacteristic
138C11×#386C2211yescharacteristic
139C11×#386C2211yescharacteristic
140C11×#386C2211yescharacteristic
141C11×#386C2211yescharacteristic
142C11×#386C2211yescharacteristic
143C11×#386C2211yescharacteristic
144C11×#386C2211yescharacteristic
145C11×#386C2211yescharacteristic
146C11×#386C2211yescharacteristic
147C11×#386C2211yescharacteristic, complemented
148C11×#385C2211yescharacteristic
149C11×#385C2211yescharacteristic
150C11×#385C2211yescharacteristic
151C11×#385C2211yescharacteristic
152C11×#385C2211yescharacteristic
153C11×#385C2211yescharacteristic
154C11×#385C2211yescharacteristic
155C11×#385C2211yescharacteristic
156C11×#385C2211yescharacteristic
157C11×#385C2211yescharacteristic
158C11×#385C2211yescharacteristic
159C11×#385C2211yescharacteristic
160C11×#385C2211yescharacteristic, complemented
161C11×#385C2211yescharacteristic, complemented
162C11×#385C2211yescharacteristic, complemented
163C11×#383C2211yescharacteristic, complemented
164C11×#382C2211yescharacteristic, complemented
165C11×#381C2211yescharacteristic
166C11×#381C2211yescharacteristic
167C11×#381C2211yescharacteristic
168C11×#381C2211yescharacteristic
169C11×#381C2211yescharacteristic, complemented
170C11×#380C2211yescharacteristic
171C11×#380C2211yescharacteristic
172C11×#380C2211yescharacteristic
173C11×#380C2211yescharacteristic
174C11×#380C2211yescharacteristic
175C11×#380C2211yescharacteristic
176C11×#380C2211yescharacteristic
177C11×#380C2211yescharacteristic
178C11×#380C2211yescharacteristic
179C11×#380C2211yescharacteristic
180C11×#380C2211yescharacteristic, complemented
181C11×#379C2211yescharacteristic
182C11×#379C2211yescharacteristic
183C4×C11×C22⋊C4C2211yescharacteristic
184C4×C11×C22⋊C4C2211yescharacteristic
185C2×C11×#95C2211yescharacteristic
186C2×C11×#95C2211yescharacteristic
187C25×C11C2311yescharacteristic
188C22×Q8×C11C2311yescharacteristic
189C22×D4×C11C2311yescharacteristic
190C22×D4×C11C2311yescharacteristic
191C22×D4×C11C2311yescharacteristic
192C22×D4×C11C2311yescharacteristic
193C22×D4×C11C2311yescharacteristic
194C22×D4×C11C2311yescharacteristic
195C22×D4×C11C2311yescharacteristic
196C23×C4×C11—24no—
197C23×C4×C11—42no—
198C23×C4×C11—42no—
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
210C23×C4×C11C2311yescharacteristic
211C11×#126—42no—
212C11×#125—42no—
213C11×#123—42no—
214C11×#123—42no—
215C11×#123—42no—
216C11×#123—42no—
217C11×#123—42no—
218C11×C22⋊Q8—42no—
219C11×C22⋊Q8—42no—
220C11×#121—42no—
221C11×#120—24no—
222C11×#120—24no—
223C4×D4×C11—42no—
224C4×D4×C11—42no—
225C2×C11×C4⋊C4—42no—
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⋊C4C2311yescharacteristic
264C2×C11×C22⋊C4C2311yescharacteristic
265C2×C11×C22⋊C4C2311yescharacteristic
266C2×C11×C22⋊C4C2311yescharacteristic
267C2×C11×C22⋊C4C2311yescharacteristic
268C2×C11×C22⋊C4C2311yescharacteristic
269C2×C11×C22⋊C4C2311yescharacteristic
270C2×C11×C22⋊C4C2311yescharacteristic
271C2×C11×C22⋊C4C2311yescharacteristic
272C2×C11×C22⋊C4C2311yescharacteristic
273C2×C11×C22⋊C4C2311yescharacteristic
274C2×C11×C22⋊C4C2311yescharacteristic
275C2×C11×C22⋊C4C2311yescharacteristic
276C2×C11×C22⋊C4C2311yescharacteristic
277C2×C11×C22⋊C4C2311yescharacteristic
278C2×C11×C22⋊C4C2311yescharacteristic
279C2×C11×C22⋊C4C2311yescharacteristic
280C2×C11×C22⋊C4C2311yescharacteristic
281C2×C11×C22⋊C4C2311yescharacteristic
282C2×C11×C22⋊C4C2311yescharacteristic
283C2×C11×C22⋊C4C2311yescharacteristic
284C2×C11×C22⋊C4C2311yescharacteristic
285C2×C11×C22⋊C4C2311yescharacteristic
286C2×C11×C22⋊C4C2311yescharacteristic
287C2×C11×C22⋊C4C2311yescharacteristic
288C2×C11×C22⋊C4C2311yescharacteristic
289C2×C11×C22⋊C4C2311yescharacteristic
290C2×C11×C22⋊C4C2311yescharacteristic
291C2×C11×C22⋊C4C2311yescharacteristic
292C2×C11×C22⋊C4C2311yescharacteristic
293C2×C11×C22⋊C4C2311yescharacteristic
294C2×C11×C22⋊C4C2311yescharacteristic
295C2×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×C11×C22⋊C4C2311yescharacteristic
305C2×C11×C22⋊C4C2311yescharacteristic
306C2×C11×C22⋊C4C2311yescharacteristic
307C2×C11×C22⋊C4C2311yescharacteristic
308C2×C11×C22⋊C4C2311yescharacteristic
309C2×C42×C11C2311yescharacteristic
310C2×C42×C11C2311yescharacteristic
311C2×C42×C11C2311yescharacteristic
312C2×C42×C11C2311yescharacteristic
313C2×C42×C11C2311yescharacteristic
314C2×C42×C11C2311yescharacteristic
315C11×#95C2311yescharacteristic
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
363#36726C1111yesmaximal, characteristic, direct product factor, Sylow
364C24×C11—22no—
365C24×C11—22no—
366C24×C11—41no—
367C24×C11—41no—
368C24×C11—41no—
369C24×C11—41no—
370C24×C11#4114yes—
371C24×C11C2411yescharacteristic
372C24×C11C2411yescharacteristic
373C24×C11C2411yescharacteristic
374C24×C11C2411yescharacteristic
375C24×C11C2411yescharacteristic
376C2×Q8×C11—41no—
377C2×Q8×C11—41no—
378C2×Q8×C11—41no—
379C2×D4×C11—22no—
380C2×D4×C11—22no—
381C2×D4×C11—22no—
382C2×D4×C11—22no—
383C2×D4×C11—22no—
384C2×D4×C11—22no—
385C2×D4×C11—22no—
386C2×D4×C11—22no—
387C2×D4×C11—22no—
388C2×D4×C11—22no—
389C2×D4×C11—41no—
390C2×D4×C11—41no—
391C2×D4×C11—41no—
392C2×D4×C11—41no—
393C2×D4×C11—41no—
394C2×D4×C11—41no—
395C2×D4×C11—41no—
396C2×D4×C11—41no—
397C2×D4×C11—41no—
398C2×D4×C11—41no—
399C2×D4×C11—41no—
400C22×C4×C11—22no—
401C22×C4×C11—22no—
402C22×C4×C11—22no—
403C22×C4×C11—22no—
404C22×C4×C11—22no—
405C22×C4×C11—22no—
406C22×C4×C11—22no—
407C22×C4×C11—22no—
408C22×C4×C11—22no—
409C22×C4×C11—22no—
410C22×C4×C11—22no—
411C22×C4×C11—22no—
412C22×C4×C11—22no—
413C22×C4×C11—22no—
414C22×C4×C11—22no—
415C22×C4×C11—22no—
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×C11—41no—
435C22×C4×C11—41no—
436C22×C4×C11—416no—
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
460C22×C4×C11C2411yescharacteristic
461C22×C4×C11C2411yescharacteristic
462C22×C4×C11C2411yescharacteristic
463C11×C4⋊C4—22no—
464C11×C4⋊C4—22no—
465C11×C4⋊C4—22no—
466C11×C4⋊C4—22no—
467C11×C4⋊C4—22no—
468C11×C4⋊C4—22no—
469C11×C4⋊C4—22no—
470C11×C4⋊C4—22no—
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⋊C4—41no—
487C11×C4⋊C4—41no—
488C11×C4⋊C4—41no—
489C11×C4⋊C4—41no—
490C11×C4⋊C4—41no—
491C11×C4⋊C4—41no—
492C11×C4⋊C4—41no—
493C11×C4⋊C4—41no—
494C11×C4⋊C4—41no—
495C11×C4⋊C4—41no—
496C11×C4⋊C4—41no—
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—22no—
506C11×C22⋊C4—22no—
507C11×C22⋊C4—22no—
508C11×C22⋊C4—22no—
509C11×C22⋊C4—22no—
510C11×C22⋊C4—22no—
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⋊C4—41no—
519C11×C22⋊C4—41no—
520C11×C22⋊C4—41no—
521C11×C22⋊C4—41no—
522C11×C22⋊C4—41no—
523C11×C22⋊C4—41no—
524C11×C22⋊C4—41no—
525C11×C22⋊C4—41no—
526C11×C22⋊C4—41no—
527C11×C22⋊C4—41no—
528C11×C22⋊C4—41no—
529C11×C22⋊C4—41no—
530C11×C22⋊C4—41no—
531C11×C22⋊C4—41no—
532C11×C22⋊C4—41no—
533C11×C22⋊C4—41no—
534C11×C22⋊C4—41no—
535C11×C22⋊C4—41no—
536C11×C22⋊C4—41no—
537C11×C22⋊C4—41no—
538C11×C22⋊C4—41no—
539C11×C22⋊C4—41no—
540C11×C22⋊C4—41no—
541C11×C22⋊C4—41no—
542C11×C22⋊C4—41no—
543C42×C11—41no—
544C42×C11—41no—
545C42×C11—41no—
546C42×C11—41no—
547C42×C11—41no—
548C42×C11—41no—
549#2849C2×C1111yescharacteristic, complemented
550#2849C2×C1111yescharacteristic, complemented
551#2746C2×C1111yescharacteristic, complemented
552#2745C2×C1111yescharacteristic, complemented
553#2744C2×C1111yescharacteristic, complemented
554#2743C2×C1111yescharacteristic, complemented
555#2740C2×C1111yescharacteristic, complemented
556#2739C2×C1111yescharacteristic, complemented
557#2738C2×C1111yescharacteristic, complemented
558#2737C2×C1111yescharacteristic, complemented
559#2707C2×C1111yescharacteristic, complemented
560#2706C2×C1111yescharacteristic, complemented
561#2705C2×C1111yescharacteristic, complemented
562#2696C2×C1111yescharacteristic, complemented
563#2695C2×C1111yescharacteristic, complemented
564#2694C2×C1111yescharacteristic, complemented
565#2693C2×C1111yescharacteristic, complemented
566#2687C2×C1111yescharacteristic, complemented
567#2626C2×C1111yescharacteristic, complemented
568#2617C2×C1111yescharacteristic
569#2510C2×C1111yescharacteristic, complemented
570#2505C2×C1111yescharacteristic, complemented
571#2481C2×C1111yescharacteristic, complemented
572#2473C2×C1111yescharacteristic, complemented
573#2450C2×C1111yescharacteristic, complemented
574#2449C2×C1111yescharacteristic, complemented
575#2444C2×C1111yescharacteristic, complemented
576#2443C2×C1111yescharacteristic, complemented
577#2321C2×C1111yescharacteristic, complemented
578#2321C2×C1111yescharacteristic, complemented
579C2×#380C2×C1111yescharacteristic, complemented
580C23×C11—21no—
581C23×C11—21no—
582C23×C11—21no—
583C23×C11—21no—
584C23×C11—28no—
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—21no—
607C23×C11—21no—
608C23×C11—21no—
609C23×C11—21no—
610C23×C11—21no—
611C23×C11—44no—
612C23×C11—44no—
613C23×C11—44no—
614C23×C11—44no—
615C23×C11—44no—
616C23×C11—44no—
617C23×C11C2×#4112yes—
618C23×C11C2×#4112yes—
619C23×C11C2×#4112yes—
620C23×C11H(5,𝔽2)12yes—
621C23×C112−1+412yes—
622C23×C11C2511yescharacteristic
623Q8×C11—82no—
624D4×C11—44no—
625D4×C11—44no—
626D4×C11—82no—
627D4×C11—82no—
628D4×C11—82no—
629D4×C11—82no—
630D4×C11—82no—
631C2×C4×C11—28no—
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—21no—
695C2×C4×C11—21no—
696C2×C4×C11—21no—
697C2×C4×C11—21no—
698C2×C4×C11—21no—
699C2×C4×C11—21no—
700C2×C4×C11—21no—
701C2×C4×C11—21no—
702C2×C4×C11—21no—
703C2×C4×C11—21no—
704C2×C4×C11—21no—
705C2×C4×C11—21no—
706C2×C4×C11—21no—
707C2×C4×C11—21no—
708C2×C4×C11—44no—
709C2×C4×C11—44no—
710C2×C4×C11—44no—
711C2×C4×C11—44no—
712C2×C4×C11—44no—
713C2×C4×C11—82no—
714C2×C4×C11—82no—
715C2×C4×C11—82no—
716C2×C4×C11—82no—
717C2×C4×C11—82no—
718C2×C4×C11—82no—
719C2×C4×C11H(5,𝔽2)12yes—
720C2×C4×C11H(5,𝔽2)12yes—
721C24×C4C22×C1111yescharacteristic
722C2×#126C22×C1111yescharacteristic, complemented
723C2×#125C22×C1111yescharacteristic, complemented
724C2×#123C22×C1111yescharacteristic
725C2×#123C22×C1111yescharacteristic
726C2×#123C22×C1111yescharacteristic
727C2×#123C22×C1111yescharacteristic
728C2×#123C22×C1111yescharacteristic, complemented
729C2×C22⋊Q8C22×C1111yescharacteristic
730C2×C22⋊Q8C22×C1111yescharacteristic, complemented
731C2×#121C22×C1111yescharacteristic
732C2×#120C22×C1111yescharacteristic
733C2×#120C22×C1111yescharacteristic
734C2×C4×D4C22×C1111yescharacteristic
735C2×C4×D4C22×C1111yescharacteristic
736C22×C4⋊C4C22×C1111yescharacteristic
737C22×C4⋊C4C22×C1111yescharacteristic
738C22×C22⋊C4C22×C1111yescharacteristic
739C22×C22⋊C4C22×C1111yescharacteristic
740#401C22×C1111yescharacteristic, complemented
741#400C22×C1111yescharacteristic, complemented
742#400C22×C1111yescharacteristic, complemented
743#400C22×C1111yescharacteristic, complemented
744#400C22×C1111yescharacteristic, complemented
745#400C22×C1111yescharacteristic, complemented
746#400C22×C1111yescharacteristic, complemented
747#400C22×C1111yescharacteristic, complemented
748#400C22×C1111yescharacteristic, complemented
749#400C22×C1111yescharacteristic, complemented
750#399C22×C1111yescharacteristic
751#399C22×C1111yescharacteristic
752#399C22×C1111yescharacteristic, complemented
753#399C22×C1111yescharacteristic, complemented
754#398C22×C1111yescharacteristic, complemented
755#398C22×C1111yescharacteristic, complemented
756#398C22×C1111yescharacteristic, complemented
757#398C22×C1111yescharacteristic, complemented
758#398C22×C1111yescharacteristic, complemented
759#398C22×C1111yescharacteristic, complemented
760#398C22×C1111yescharacteristic, complemented
761#397C22×C1111yescharacteristic
762#397C22×C1111yescharacteristic
763#397C22×C1111yescharacteristic, complemented
764#397C22×C1111yescharacteristic, complemented
765#397C22×C1111yescharacteristic, complemented
766#397C22×C1111yescharacteristic, complemented
767#397C22×C1111yescharacteristic, complemented
768#397C22×C1111yescharacteristic, complemented
769#396C22×C1111yescharacteristic
770#396C22×C1111yescharacteristic
771#396C22×C1111yescharacteristic
772#396C22×C1111yescharacteristic
773#396C22×C1111yescharacteristic, complemented
774#396C22×C1111yescharacteristic, complemented
775#396C22×C1111yescharacteristic, complemented
776#395C22×C1111yescharacteristic, complemented
777#394C22×C1111yescharacteristic
778#394C22×C1111yescharacteristic
779#394C22×C1111yescharacteristic
780#394C22×C1111yescharacteristic
781#394C22×C1111yescharacteristic, complemented
782#394C22×C1111yescharacteristic, complemented
783#393C22×C1111yescharacteristic
784#393C22×C1111yescharacteristic
785#393C22×C1111yescharacteristic, complemented
786#392C22×C1111yescharacteristic
787#392C22×C1111yescharacteristic
788#391C22×C1111yescharacteristic, complemented
789#390C22×C1111yescharacteristic
790#390C22×C1111yescharacteristic
791#390C22×C1111yescharacteristic
792#390C22×C1111yescharacteristic
793#389C22×C1111yescharacteristic, complemented
794#389C22×C1111yescharacteristic, complemented
795#389C22×C1111yescharacteristic, complemented
796#388C22×C1111yescharacteristic
797#388C22×C1111yescharacteristic
798#388C22×C1111yescharacteristic
799#388C22×C1111yescharacteristic
800#388C22×C1111yescharacteristic
801#388C22×C1111yescharacteristic
802#388C22×C1111yescharacteristic
803#388C22×C1111yescharacteristic
804#388C22×C1111yescharacteristic, complemented
805#388C22×C1111yescharacteristic, complemented
806#388C22×C1111yescharacteristic, complemented
807#388C22×C1111yescharacteristic, complemented
808#388C22×C1111yescharacteristic, complemented
809#387C22×C1111yescharacteristic, complemented
810#387C22×C1111yescharacteristic, complemented
811#387C22×C1111yescharacteristic, complemented
812#387C22×C1111yescharacteristic, complemented
813#387C22×C1111yescharacteristic, complemented
814#387C22×C1111yescharacteristic, complemented
815#387C22×C1111yescharacteristic, complemented
816#387C22×C1111yescharacteristic, complemented
817#387C22×C1111yescharacteristic, complemented
818#387C22×C1111yescharacteristic, complemented
819#387C22×C1111yescharacteristic, complemented
820#386C22×C1111yescharacteristic
821#386C22×C1111yescharacteristic
822#386C22×C1111yescharacteristic
823#386C22×C1111yescharacteristic
824#386C22×C1111yescharacteristic
825#386C22×C1111yescharacteristic
826#386C22×C1111yescharacteristic
827#386C22×C1111yescharacteristic
828#386C22×C1111yescharacteristic
829#386C22×C1111yescharacteristic
830#386C22×C1111yescharacteristic
831#386C22×C1111yescharacteristic
832#386C22×C1111yescharacteristic
833#386C22×C1111yescharacteristic
834#386C22×C1111yescharacteristic
835#386C22×C1111yescharacteristic
836#386C22×C1111yescharacteristic, complemented
837#385C22×C1111yescharacteristic
838#385C22×C1111yescharacteristic
839#385C22×C1111yescharacteristic
840#385C22×C1111yescharacteristic
841#385C22×C1111yescharacteristic
842#385C22×C1111yescharacteristic
843#385C22×C1111yescharacteristic
844#385C22×C1111yescharacteristic
845#385C22×C1111yescharacteristic
846#385C22×C1111yescharacteristic
847#385C22×C1111yescharacteristic
848#385C22×C1111yescharacteristic
849#385C22×C1111yescharacteristic, complemented
850#385C22×C1111yescharacteristic, complemented
851#385C22×C1111yescharacteristic, complemented
852#383C22×C1111yescharacteristic, complemented
853#382C22×C1111yescharacteristic, complemented
854#381C22×C1111yescharacteristic
855#381C22×C1111yescharacteristic
856#381C22×C1111yescharacteristic
857#381C22×C1111yescharacteristic
858#381C22×C1111yescharacteristic, complemented
859#380C22×C1111yescharacteristic
860#380C22×C1111yescharacteristic
861#380C22×C1111yescharacteristic
862#380C22×C1111yescharacteristic
863#380C22×C1111yescharacteristic
864#380C22×C1111yescharacteristic
865#380C22×C1111yescharacteristic
866#380C22×C1111yescharacteristic
867#380C22×C1111yescharacteristic
868#380C22×C1111yescharacteristic
869#380C22×C1111yescharacteristic, complemented
870#379C22×C1111yescharacteristic
871#379C22×C1111yescharacteristic
872C4×C22⋊C4C22×C1111yescharacteristic
873C4×C22⋊C4C22×C1111yescharacteristic
874C2×#95C22×C1111yescharacteristic
875C2×#95C22×C1111yescharacteristic
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—416no—
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—41no—
902C22×C11—41no—
903C22×C11—41no—
904C22×C11—41no—
905C22×C11—41no—
906C22×C11—41no—
907C22×C11—41no—
908C22×C11—41no—
909C22×C11—41no—
910C22×C11—41no—
911C22×C11#53914yes—
912C22×C11C22×#4111yescharacteristic
913C22×C11C2×H(5,𝔽2)11yescharacteristic
914C22×C11C2×H(5,𝔽2)11yescharacteristic
915C22×C11C2×H(5,𝔽2)11yescharacteristic
916C22×C11C2×2−1+411yescharacteristic
917C22×C11#58511yescharacteristic
918C22×C11#58511yescharacteristic
919C4×C11—22no—
920C4×C11—22no—
921C4×C11—41no—
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—
937C4×C11—41no—
938C4×C11—41no—
939C4×C11—41no—
940C4×C11—41no—
941C4×C11—41no—
942C4×C11—41no—
943C4×C11—41no—
944C4×C11—41no—
945C25C23×C1111yescharacteristic
946C22×Q8C23×C1111yescharacteristic
947C22×D4C23×C1111yescharacteristic
948C22×D4C23×C1111yescharacteristic
949C22×D4C23×C1111yescharacteristic
950C22×D4C23×C1111yescharacteristic
951C22×D4C23×C1111yescharacteristic
952C22×D4C23×C1111yescharacteristic
953C22×D4C23×C1111yescharacteristic
954C23×C4—24no—
955C23×C4—42no—
956C23×C4—42no—
957C23×C4C23×C1111yescharacteristic
958C23×C4C23×C1111yescharacteristic
959C23×C4C23×C1111yescharacteristic
960C23×C4C23×C1111yescharacteristic
961C23×C4C23×C1111yescharacteristic
962C23×C4C23×C1111yescharacteristic
963C23×C4C23×C1111yescharacteristic
964C23×C4C23×C1111yescharacteristic
965C23×C4C23×C1111yescharacteristic
966C23×C4C23×C1111yescharacteristic
967C23×C4C23×C1111yescharacteristic
968C23×C4C23×C1111yescharacteristic
969#126—42no—
970#125—42no—
971#123—42no—
972#123—42no—
973#123—42no—
974#123—42no—
975#123—42no—
976C22⋊Q8—42no—
977C22⋊Q8—42no—
978#121—42no—
979#120—24no—
980#120—24no—
981C4×D4—42no—
982C4×D4—42no—
983C2×C4⋊C4—42no—
984C2×C4⋊C4—42no—
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×C4⋊C4C23×C1111yescharacteristic
1011C2×C4⋊C4C23×C1111yescharacteristic
1012C2×C4⋊C4C23×C1111yescharacteristic
1013C2×C4⋊C4C23×C1111yescharacteristic
1014C2×C4⋊C4C23×C1111yescharacteristic
1015C2×C4⋊C4C23×C1111yescharacteristic
1016C2×C4⋊C4C23×C1111yescharacteristic
1017C2×C4⋊C4C23×C1111yescharacteristic
1018C2×C4⋊C4C23×C1111yescharacteristic
1019C2×C22⋊C4—42no—
1020C2×C22⋊C4—42no—
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×C22⋊C4C23×C1111yescharacteristic
1054C2×C22⋊C4C23×C1111yescharacteristic
1055C2×C22⋊C4C23×C1111yescharacteristic
1056C2×C22⋊C4C23×C1111yescharacteristic
1057C2×C22⋊C4C23×C1111yescharacteristic
1058C2×C22⋊C4C23×C1111yescharacteristic
1059C2×C22⋊C4C23×C1111yescharacteristic
1060C2×C22⋊C4C23×C1111yescharacteristic
1061C2×C22⋊C4C23×C1111yescharacteristic
1062C2×C22⋊C4C23×C1111yescharacteristic
1063C2×C22⋊C4C23×C1111yescharacteristic
1064C2×C22⋊C4C23×C1111yescharacteristic
1065C2×C22⋊C4C23×C1111yescharacteristic
1066C2×C22⋊C4C23×C1111yescharacteristic
1067C2×C42C23×C1111yescharacteristic
1068C2×C42C23×C1111yescharacteristic
1069C2×C42C23×C1111yescharacteristic
1070C2×C42C23×C1111yescharacteristic
1071C2×C42C23×C1111yescharacteristic
1072C2×C42C23×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
1116#95C23×C1111yescharacteristic
1117#95C23×C1111yescharacteristic
1118#95C23×C1111yescharacteristic
1119#95C23×C1111yescharacteristic
1120#95C23×C1111yescharacteristic
1121C2×C11—24no—
1122C2×C11—42no—
1123C2×C11—42no—
1124C2×C11—81no—
1125C2×C11—81no—
1126C2×C11C2×#53911yescharacteristic
1127C2×C11#349011yescharacteristic
1128C2×C11#349111yescharacteristic
1129C2×C11#354111yescharacteristic
1130C2×C11#354111yescharacteristic
1131C2×C11#354211yescharacteristic
1132C2×C11#354211yescharacteristic
1133C24—22no—
1134C24—22no—
1135C24—41no—
1136C24—41no—
1137C24—41no—
1138C24—41no—
1139C24C11×#4114yes—
1140C24C24×C1111yescharacteristic
1141C24C24×C1111yescharacteristic
1142C24C24×C1111yescharacteristic
1143C24C24×C1111yescharacteristic
1144C24C24×C1111yescharacteristic
1145C2×Q8—41no—
1146C2×Q8—41no—
1147C2×Q8—41no—
1148C2×D4—22no—
1149C2×D4—22no—
1150C2×D4—22no—
1151C2×D4—22no—
1152C2×D4—22no—
1153C2×D4—22no—
1154C2×D4—22no—
1155C2×D4—22no—
1156C2×D4—22no—
1157C2×D4—22no—
1158C2×D4—41no—
1159C2×D4—41no—
1160C2×D4—41no—
1161C2×D4—41no—
1162C2×D4—41no—
1163C2×D4—41no—
1164C2×D4—41no—
1165C2×D4—41no—
1166C2×D4—41no—
1167C2×D4—41no—
1168C2×D4—41no—
1169C22×C4—22no—
1170C22×C4—22no—
1171C22×C4—22no—
1172C22×C4—22no—
1173C22×C4—22no—
1174C22×C4—22no—
1175C22×C4—22no—
1176C22×C4—22no—
1177C22×C4—22no—
1178C22×C4—22no—
1179C22×C4—22no—
1180C22×C4—22no—
1181C22×C4—22no—
1182C22×C4—22no—
1183C22×C4—22no—
1184C22×C4—22no—
1185C22×C4—41no—
1186C22×C4—41no—
1187C22×C4—41no—
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×C4—416no—
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
1224C22×C4C24×C1111yescharacteristic
1225C22×C4C24×C1111yescharacteristic
1226C22×C4C24×C1111yescharacteristic
1227C22×C4C24×C1111yescharacteristic
1228C22×C4C24×C1111yescharacteristic
1229C22×C4C24×C1111yescharacteristic
1230C22×C4C24×C1111yescharacteristic
1231C22×C4C24×C1111yescharacteristic
1232C4⋊C4—22no—
1233C4⋊C4—22no—
1234C4⋊C4—22no—
1235C4⋊C4—22no—
1236C4⋊C4—22no—
1237C4⋊C4—22no—
1238C4⋊C4—22no—
1239C4⋊C4—22no—
1240C4⋊C4—41no—
1241C4⋊C4—41no—
1242C4⋊C4—41no—
1243C4⋊C4—41no—
1244C4⋊C4—41no—
1245C4⋊C4—41no—
1246C4⋊C4—41no—
1247C4⋊C4—41no—
1248C4⋊C4—41no—
1249C4⋊C4—41no—
1250C4⋊C4—41no—
1251C4⋊C4—41no—
1252C4⋊C4—41no—
1253C4⋊C4—41no—
1254C4⋊C4—41no—
1255C4⋊C4—41no—
1256C4⋊C4—41no—
1257C4⋊C4—41no—
1258C4⋊C4—41no—
1259C4⋊C4—41no—
1260C4⋊C4—41no—
1261C4⋊C4—41no—
1262C4⋊C4—41no—
1263C4⋊C4—41no—
1264C4⋊C4—41no—
1265C4⋊C4—41no—
1266C22⋊C4—22no—
1267C22⋊C4—22no—
1268C22⋊C4—22no—
1269C22⋊C4—22no—
1270C22⋊C4—22no—
1271C22⋊C4—22no—
1272C22⋊C4—22no—
1273C22⋊C4—22no—
1274C22⋊C4—22no—
1275C22⋊C4—22no—
1276C22⋊C4—22no—
1277C22⋊C4—22no—
1278C22⋊C4—22no—
1279C22⋊C4—22no—
1280C22⋊C4—41no—
1281C22⋊C4—41no—
1282C22⋊C4—41no—
1283C22⋊C4—41no—
1284C22⋊C4—41no—
1285C22⋊C4—41no—
1286C22⋊C4—41no—
1287C22⋊C4—41no—
1288C22⋊C4—41no—
1289C22⋊C4—41no—
1290C22⋊C4—41no—
1291C22⋊C4—41no—
1292C22⋊C4—41no—
1293C22⋊C4—41no—
1294C22⋊C4—41no—
1295C22⋊C4—41no—
1296C22⋊C4—41no—
1297C22⋊C4—41no—
1298C22⋊C4—41no—
1299C22⋊C4—41no—
1300C22⋊C4—41no—
1301C22⋊C4—41no—
1302C22⋊C4—41no—
1303C22⋊C4—41no—
1304C22⋊C4—41no—
1305C22⋊C4—41no—
1306C22⋊C4—41no—
1307C22⋊C4—41no—
1308C22⋊C4—41no—
1309C22⋊C4—41no—
1310C22⋊C4—41no—
1311C22⋊C4—41no—
1312C42—41no—
1313C42—41no—
1314C42—41no—
1315C42—41no—
1316C42—41no—
1317C42—41no—
1318C11#3672611yescharacteristic, direct product factor, Sylow
1319C23—21no—
1320C23—21no—
1321C23—21no—
1322C23—21no—
1323C23—28no—
1324C23—21no—
1325C23—21no—
1326C23—21no—
1327C23—21no—
1328C23—21no—
1329C23—21no—
1330C23—21no—
1331C23—21no—
1332C23—21no—
1333C23—21no—
1334C23—21no—
1335C23—21no—
1336C23—21no—
1337C23—21no—
1338C23—21no—
1339C23—21no—
1340C23—21no—
1341C23—21no—
1342C23—21no—
1343C23—21no—
1344C23—21no—
1345C23—21no—
1346C23—21no—
1347C23—21no—
1348C23—21no—
1349C23—21no—
1350C23—44no—
1351C23—44no—
1352C23—44no—
1353C23—44no—
1354C23—44no—
1355C23—44no—
1356C23C2×C11×#4112yes—
1357C23C2×C11×#4112yes—
1358C23C2×C11×#4112yes—
1359C23C11×H(5,𝔽2)12yes—
1360C23C11×2−1+412yes—
1361C23C25×C1111yescharacteristic
1362Q8—82no—
1363D4—44no—
1364D4—44no—
1365D4—82no—
1366D4—82no—
1367D4—82no—
1368D4—82no—
1369D4—82no—
1370C2×C4—28no—
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—21no—
1424C2×C4—21no—
1425C2×C4—21no—
1426C2×C4—21no—
1427C2×C4—21no—
1428C2×C4—21no—
1429C2×C4—21no—
1430C2×C4—21no—
1431C2×C4—21no—
1432C2×C4—21no—
1433C2×C4—21no—
1434C2×C4—21no—
1435C2×C4—21no—
1436C2×C4—21no—
1437C2×C4—21no—
1438C2×C4—21no—
1439C2×C4—21no—
1440C2×C4—21no—
1441C2×C4—21no—
1442C2×C4—21no—
1443C2×C4—21no—
1444C2×C4—21no—
1445C2×C4—21no—
1446C2×C4—21no—
1447C2×C4—44no—
1448C2×C4—44no—
1449C2×C4—44no—
1450C2×C4—44no—
1451C2×C4—44no—
1452C2×C4—82no—
1453C2×C4—82no—
1454C2×C4—82no—
1455C2×C4—82no—
1456C2×C4—82no—
1457C2×C4—82no—
1458C2×C4C11×H(5,𝔽2)12yes—
1459C2×C4C11×H(5,𝔽2)12yes—
1460C22—22no—
1461C22—22no—
1462C22—22no—
1463C22—22no—
1464C22—22no—
1465C22—22no—
1466C22—22no—
1467C22—22no—
1468C22—22no—
1469C22—22no—
1470C22—22no—
1471C22—22no—
1472C22—416no—
1473C22—41no—
1474C22—41no—
1475C22—41no—
1476C22—41no—
1477C22—41no—
1478C22—41no—
1479C22—41no—
1480C22—41no—
1481C22—41no—
1482C22—41no—
1483C22—41no—
1484C22—41no—
1485C22—41no—
1486C22—41no—
1487C22—41no—
1488C22—41no—
1489C22—41no—
1490C22—41no—
1491C22—41no—
1492C22—41no—
1493C22—41no—
1494C22—41no—
1495C22C11×#53914yes—
1496C22C22×C11×#4111yescharacteristic
1497C22C2×C11×H(5,𝔽2)11yescharacteristic
1498C22C2×C11×H(5,𝔽2)11yescharacteristic
1499C22C2×C11×H(5,𝔽2)11yescharacteristic
1500C22C2×C11×2−1+411yescharacteristic
1501C22C11×#58511yescharacteristic
1502C22C11×#58511yescharacteristic
1503C4—22no—
1504C4—22no—
1505C4—41no—
1506C4—41no—
1507C4—41no—
1508C4—41no—
1509C4—41no—
1510C4—41no—
1511C4—41no—
1512C4—41no—
1513C4—41no—
1514C4—41no—
1515C4—41no—
1516C4—41no—
1517C4—41no—
1518C4—41no—
1519C4—41no—
1520C4—41no—
1521C4—41no—
1522C4—41no—
1523C4—41no—
1524C4—41no—
1525C4—41no—
1526C4—41no—
1527C4—41no—
1528C4—41no—
1529C2—24no—
1530C2—42no—
1531C2—42no—
1532C2—81no—
1533C2—81no—
1534C2C2×C11×#53911yescharacteristic
1535C2C11×#349011yescharacteristic
1536C2C11×#349111yescharacteristic
1537C2C11×#354111yescharacteristic
1538C2C11×#354111yescharacteristic
1539C2C11×#354211yescharacteristic
1540C2C11×#354211yescharacteristic
subgroupG/H
center, socleC23×C11C25
commutator, Frattini, cosocleC23C25×C11
prime radicalC11×#2617C2
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23×C11 ◁ G

Complements

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

NH ≅ G/Ntype
1. C11×#2849C2semidirect
2. C11×#2849C2semidirect
3. C11×#2746C2semidirect
4. C11×#2745C2semidirect
5. C11×#2744C2semidirect
6. C11×#2743C2semidirect
7. C11×#2740C2semidirect
8. C11×#2739C2semidirect
9. C11×#2738C2semidirect
10. C11×#2737C2semidirect
11. C11×#2707C2semidirect
12. C11×#2706C2semidirect
13. C11×#2705C2semidirect
14. C11×#2696C2semidirect
15. C11×#2695C2semidirect
16. C11×#2694C2semidirect
17. C11×#2693C2semidirect
18. C11×#2687C2semidirect
19. C11×#2626C2semidirect
21. C11×#2510C2semidirect
22. C11×#2505C2semidirect
23. C11×#2481C2semidirect
24. C11×#2473C2semidirect
25. C11×#2450C2semidirect
26. C11×#2449C2semidirect
27. C11×#2444C2semidirect
28. C11×#2443C2semidirect
29. C11×#2321C2semidirect
30. C11×#2321C2semidirect
31. C2×C11×#380C2semidirect
33. C2×C11×#126C22semidirect
34. C2×C11×#125C22semidirect
39. C2×C11×#123C22semidirect
41. C2×C11×C22⋊Q8C22semidirect
51. C11×#401C22semidirect
52. C11×#400C22semidirect
53. C11×#400C22semidirect
54. C11×#400C22semidirect
55. C11×#400C22semidirect
56. C11×#400C22semidirect
57. C11×#400C22semidirect
58. C11×#400C22semidirect
59. C11×#400C22semidirect
60. C11×#400C22semidirect
63. C11×#399C22semidirect
64. C11×#399C22semidirect
65. C11×#398C22semidirect
66. C11×#398C22semidirect
67. C11×#398C22semidirect
68. C11×#398C22semidirect
69. C11×#398C22semidirect
70. C11×#398C22semidirect
71. C11×#398C22semidirect
74. C11×#397C22semidirect
75. C11×#397C22semidirect
76. C11×#397C22semidirect
77. C11×#397C22semidirect
78. C11×#397C22semidirect
79. C11×#397C22semidirect
84. C11×#396C22semidirect
85. C11×#396C22semidirect
86. C11×#396C22semidirect
87. C11×#395C22semidirect
92. C11×#394C22semidirect
93. C11×#394C22semidirect
96. C11×#393C22semidirect
99. C11×#391C22semidirect
104. C11×#389C22semidirect
105. C11×#389C22semidirect
106. C11×#389C22semidirect
115. C11×#388C22semidirect
116. C11×#388C22semidirect
117. C11×#388C22semidirect
118. C11×#388C22semidirect
119. C11×#388C22semidirect
120. C11×#387C22semidirect
121. C11×#387C22semidirect
122. C11×#387C22semidirect
123. C11×#387C22semidirect
124. C11×#387C22semidirect
125. C11×#387C22semidirect
126. C11×#387C22semidirect
127. C11×#387C22semidirect
128. C11×#387C22semidirect
129. C11×#387C22semidirect
130. C11×#387C22semidirect
147. C11×#386C22semidirect
160. C11×#385C22semidirect
161. C11×#385C22semidirect
162. C11×#385C22semidirect
163. C11×#383C22semidirect
164. C11×#382C22semidirect
169. C11×#381C22semidirect
180. C11×#380C22semidirect
363. #36726C11direct (N × H)
549. #2849C2×C11semidirect
550. #2849C2×C11semidirect
551. #2746C2×C11semidirect
552. #2745C2×C11semidirect
553. #2744C2×C11semidirect
554. #2743C2×C11semidirect
555. #2740C2×C11semidirect
556. #2739C2×C11semidirect
557. #2738C2×C11semidirect
558. #2737C2×C11semidirect
559. #2707C2×C11semidirect
560. #2706C2×C11semidirect
561. #2705C2×C11semidirect
562. #2696C2×C11semidirect
563. #2695C2×C11semidirect
564. #2694C2×C11semidirect
565. #2693C2×C11semidirect
566. #2687C2×C11semidirect
567. #2626C2×C11semidirect
569. #2510C2×C11semidirect
570. #2505C2×C11semidirect
571. #2481C2×C11semidirect
572. #2473C2×C11semidirect
573. #2450C2×C11semidirect
574. #2449C2×C11semidirect
575. #2444C2×C11semidirect
576. #2443C2×C11semidirect
577. #2321C2×C11semidirect
578. #2321C2×C11semidirect
579. C2×#380C2×C11semidirect
722. C2×#126C22×C11semidirect
723. C2×#125C22×C11semidirect
728. C2×#123C22×C11semidirect
730. C2×C22⋊Q8C22×C11semidirect
740. #401C22×C11semidirect
741. #400C22×C11semidirect
742. #400C22×C11semidirect
743. #400C22×C11semidirect
744. #400C22×C11semidirect
745. #400C22×C11semidirect
746. #400C22×C11semidirect
747. #400C22×C11semidirect
748. #400C22×C11semidirect
749. #400C22×C11semidirect
752. #399C22×C11semidirect
753. #399C22×C11semidirect
754. #398C22×C11semidirect
755. #398C22×C11semidirect
756. #398C22×C11semidirect
757. #398C22×C11semidirect
758. #398C22×C11semidirect
759. #398C22×C11semidirect
760. #398C22×C11semidirect
763. #397C22×C11semidirect
764. #397C22×C11semidirect
765. #397C22×C11semidirect
766. #397C22×C11semidirect
767. #397C22×C11semidirect
768. #397C22×C11semidirect
773. #396C22×C11semidirect
774. #396C22×C11semidirect
775. #396C22×C11semidirect
776. #395C22×C11semidirect
781. #394C22×C11semidirect
782. #394C22×C11semidirect
785. #393C22×C11semidirect
788. #391C22×C11semidirect
793. #389C22×C11semidirect
794. #389C22×C11semidirect
795. #389C22×C11semidirect
804. #388C22×C11semidirect
805. #388C22×C11semidirect
806. #388C22×C11semidirect
807. #388C22×C11semidirect
808. #388C22×C11semidirect
809. #387C22×C11semidirect
810. #387C22×C11semidirect
811. #387C22×C11semidirect
812. #387C22×C11semidirect
813. #387C22×C11semidirect
814. #387C22×C11semidirect
815. #387C22×C11semidirect
816. #387C22×C11semidirect
817. #387C22×C11semidirect
818. #387C22×C11semidirect
819. #387C22×C11semidirect
836. #386C22×C11semidirect
849. #385C22×C11semidirect
850. #385C22×C11semidirect
851. #385C22×C11semidirect
852. #383C22×C11semidirect
853. #382C22×C11semidirect
858. #381C22×C11semidirect
869. #380C22×C11semidirect
1318. C11#36726direct (N × H)

Maximal subgroups

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

subgroupindex
C11×#28492
C11×#27462
C11×#27452
C11×#27442
C11×#27432
C11×#27402
C11×#27392
C11×#27382
C11×#27372
C11×#27072
C11×#27062
C11×#27052
C11×#26962
C11×#26952
C11×#26942
C11×#26932
C11×#26872
C11×#26262
C11×#26172
C11×#25102
C11×#25052
C11×#24812
C11×#24732
C11×#24502
C11×#24492
C11×#24442
C11×#24432
C11×#23212
C2×C11×#3802
#3672611