Finite Group Databasebeta

← C11×#60028 #14637221

Subgroups — C11×#60028 #14637221

Order 2816.

2062 conjugacy classes of subgroups.

The subgroup lattice has 1562 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C11×#2741C211yesmaximal, characteristic, complemented
2C11×#2692C211yesmaximal, characteristic, complemented
3C11×#2676C211yesmaximal, characteristic, complemented
4C11×#2671C211yesmaximal, characteristic, complemented
5C11×#2607C211yesmaximal, characteristic, complemented
6C11×#2601C211yesmaximal, characteristic, complemented
7C11×#2588C211yesmaximal, characteristic, complemented
8C11×#2560C211yesmaximal, characteristic, complemented
9C11×#2559C211yesmaximal, characteristic, complemented
10C11×#2557C211yesmaximal, characteristic, complemented
11C11×#2549C211yesmaximal, characteristic, complemented
12C11×#2540C211yesmaximal, characteristic, complemented
13C11×#2522C211yesmaximal, characteristic, complemented
14C11×#2521C211yesmaximal, characteristic, complemented
15C11×#2479C211yesmaximal, characteristic, complemented
16C11×#2477C211yesmaximal, characteristic, complemented
17C11×#2467C211yesmaximal, characteristic, complemented
18C11×#2459C211yesmaximal, characteristic, complemented
19C11×#2458C211yesmaximal, characteristic, complemented
20C11×#2457C211yesmaximal, characteristic, complemented
21C11×#2430C211yesmaximal, characteristic, complemented
22C11×#2407C211yesmaximal, characteristic, complemented
23C11×#2368C211yesmaximal, characteristic, complemented
24C11×#2367C211yesmaximal, characteristic, complemented
25C11×#2364C211yesmaximal, characteristic, complemented
26C11×#2364C211yesmaximal, characteristic, complemented
27C11×#2363C211yesmaximal, characteristic, complemented
28C11×#2359C211yesmaximal, characteristic, complemented
29C4×C11×C22⋊Q8C211yesmaximal, characteristic, complemented
30C4×C11×#121C211yesmaximal, characteristic, complemented
31C11×#2297C211yesmaximal, characteristic, complemented
32C22×C11×#41C2211yescharacteristic
33C2×C11×#126C2211yescharacteristic
34C2×C11×#126C2211yescharacteristic
35C2×C11×#124C2211yescharacteristic
36C2×C11×#124C2211yescharacteristic
37C2×C11×#123C2211yescharacteristic
38C2×C11×#123C2211yescharacteristic
39C2×C11×C22⋊Q8C2211yescharacteristic
40C2×C11×C22⋊Q8C2211yescharacteristic
41C2×C11×C22⋊Q8C2211yescharacteristic
42C2×C11×C22⋊Q8C2211yescharacteristic
43C2×C11×#121C2211yescharacteristic
44C2×C11×#121C2211yescharacteristic
45C2×C11×#121C2211yescharacteristic
46C2×C11×#121C2211yescharacteristic
47C2×C11×#121C2211yescharacteristic
48C2×C4×Q8×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×C42×C11C2211yescharacteristic
57C11×#400C2211yescharacteristic
58C11×#400C2211yescharacteristic
59C11×#399C2211yescharacteristic
60C11×#399C2211yescharacteristic
61C11×#399C2211yescharacteristic
62C11×#399C2211yescharacteristic
63C11×#398C2211yescharacteristic
64C11×#398C2211yescharacteristic
65C11×#398C2211yescharacteristic
66C11×#398C2211yescharacteristic
67C11×#397C2211yescharacteristic
68C11×#397C2211yescharacteristic
69C11×#396C2211yescharacteristic
70C11×#396C2211yescharacteristic
71C11×#395C2211yescharacteristic
72C11×#395C2211yescharacteristic
73C11×#394C2211yescharacteristic
74C11×#394C2211yescharacteristic
75C11×#394C2211yescharacteristic
76C11×#394C2211yescharacteristic
77C11×#394C2211yescharacteristic
78C11×#394C2211yescharacteristic
79C11×#394C2211yescharacteristic
80C11×#394C2211yescharacteristic
81C11×#393C2211yescharacteristic
82C11×#393C2211yescharacteristic
83C11×#393C2211yescharacteristic
84C11×#393C2211yescharacteristic
85C11×#392C2211yescharacteristic
86C11×#392C2211yescharacteristic
87C11×#392C2211yescharacteristic
88C11×#392C2211yescharacteristic
89C11×#391C2211yescharacteristic
90C11×#391C2211yescharacteristic
91C11×#391C2211yescharacteristic
92C11×#391C2211yescharacteristic
93C11×#391C2211yescharacteristic
94C11×#391C2211yescharacteristic
95C11×#391C2211yescharacteristic
96C11×#390C2211yescharacteristic
97C11×#390C2211yescharacteristic
98C11×#390C2211yescharacteristic
99C11×#390C2211yescharacteristic
100C11×#390C2211yescharacteristic
101C11×#390C2211yescharacteristic
102C11×#390C2211yescharacteristic
103C11×#389C2211yescharacteristic
104C11×#389C2211yescharacteristic
105C11×#389C2211yescharacteristic
106C11×#389C2211yescharacteristic
107C11×#388C2211yescharacteristic
108C11×#388C2211yescharacteristic
109C11×#388C2211yescharacteristic
110C11×#388C2211yescharacteristic
111C11×#388C2211yescharacteristic
112C11×#388C2211yescharacteristic
113C11×#388C2211yescharacteristic
114C11×#388C2211yescharacteristic
115C11×#388C2211yescharacteristic
116C11×#388C2211yescharacteristic
117C11×#388C2211yescharacteristic
118C11×#388C2211yescharacteristic
119C11×#388C2211yescharacteristic
120C11×#388C2211yescharacteristic
121C11×#388C2211yescharacteristic
122C11×#388C2211yescharacteristic
123C11×#387C2211yescharacteristic
124C11×#387C2211yescharacteristic
125C11×#387C2211yescharacteristic
126C11×#387C2211yescharacteristic
127C11×#387C2211yescharacteristic
128C11×#387C2211yescharacteristic
129C11×#387C2211yescharacteristic
130C11×#387C2211yescharacteristic
131C11×#387C2211yescharacteristic
132C11×#387C2211yescharacteristic
133C11×#387C2211yescharacteristic
134C11×#387C2211yescharacteristic
135C11×#387C2211yescharacteristic
136C11×#387C2211yescharacteristic
137C11×#386C2211yescharacteristic
138C11×#386C2211yescharacteristic
139C11×#386C2211yescharacteristic
140C11×#386C2211yescharacteristic
141C11×#386C2211yescharacteristic
142C11×#386C2211yescharacteristic
143C11×#386C2211yescharacteristic
144C11×#386C2211yescharacteristic
145C11×#386C2211yescharacteristic
146C11×#386C2211yescharacteristic
147C11×#386C2211yescharacteristic
148C11×#386C2211yescharacteristic
149C11×#386C2211yescharacteristic
150C11×#386C2211yescharacteristic
151C11×#386C2211yescharacteristic
152C11×#386C2211yescharacteristic
153C11×#385C2211yescharacteristic
154C11×#385C2211yescharacteristic
155C11×#385C2211yescharacteristic
156C11×#385C2211yescharacteristic
157C11×#385C2211yescharacteristic
158C11×#385C2211yescharacteristic
159C11×#385C2211yescharacteristic
160C11×#385C2211yescharacteristic
161C11×#381C2211yescharacteristic
162C11×#380C2211yescharacteristic
163C11×#380C2211yescharacteristic
164C11×#380C2211yescharacteristic
165C11×#380C2211yescharacteristic
166C4×C11×C4⋊C4C2211yescharacteristic
167C4×C11×C4⋊C4C2211yescharacteristic
168C4×C11×C4⋊C4C2211yescharacteristic
169C4×C11×C4⋊C4C2211yescharacteristic
170C4×C11×C4⋊C4C2211yescharacteristic
171C4×C11×C4⋊C4C2211yescharacteristic
172C4×C11×C22⋊C4C2211yescharacteristic
173C4×C11×C22⋊C4C2211yescharacteristic
174C4×C11×C22⋊C4C2211yescharacteristic
175C4×C11×C22⋊C4C2211yescharacteristic
176C4×C11×C22⋊C4C2211yescharacteristic
177C4×C11×C22⋊C4C2211yescharacteristic
178C4×C11×C22⋊C4C2211yescharacteristic
179C4×C11×C22⋊C4C2211yescharacteristic
180C4×C11×C22⋊C4C2211yescharacteristic
181C4×C11×C22⋊C4C2211yescharacteristic
182C4×C11×C22⋊C4C2211yescharacteristic
183C4×C11×C22⋊C4C2211yescharacteristic
184C4×C11×C22⋊C4C2211yescharacteristic
185C2×C11×#95C2211yescharacteristic
186C2×C11×#95C2211yescharacteristic
187C2×C11×#41—24no—
188C2×C11×#41—42no—
189C2×C11×#41—42no—
190C22×Q8×C11C2311yescharacteristic
191C22×Q8×C11C2311yescharacteristic
192C22×Q8×C11C2311yescharacteristic
193C22×D4×C11C2311yescharacteristic
194C22×D4×C11C2311yescharacteristic
195C22×D4×C11C2311yescharacteristic
196C22×D4×C11C2311yescharacteristic
197C22×D4×C11C2311yescharacteristic
198C22×D4×C11C2311yescharacteristic
199C22×D4×C11C2311yescharacteristic
200C22×D4×C11C2311yescharacteristic
201C22×D4×C11C2311yescharacteristic
202C22×D4×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
211C23×C4×C11C2311yescharacteristic
212C23×C4×C11C2311yescharacteristic
213C23×C4×C11C2311yescharacteristic
214C11×#126—42no—
215C11×#126—42no—
216C11×#124—24no—
217C11×#124—42no—
218C11×#123—24no—
219C11×#123—42no—
220C11×C22⋊Q8—24no—
221C11×C22⋊Q8—24no—
222C11×C22⋊Q8—42no—
223C11×C22⋊Q8—42no—
224C11×#121—24no—
225C11×#121—24no—
226C11×#121—24no—
227C11×#121—24no—
228C11×#121—42no—
229C4×Q8×C11—42no—
230C4×D4×C11—42no—
231C4×D4×C11—42no—
232C4×D4×C11—42no—
233C4×D4×C11—42no—
234C4×D4×C11—42no—
235C11×#117—42no—
236C11×#117—42no—
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×C4⋊C4C2311yescharacteristic
262C2×C11×C4⋊C4C2311yescharacteristic
263C2×C11×C4⋊C4C2311yescharacteristic
264C2×C11×C4⋊C4C2311yescharacteristic
265C2×C11×C4⋊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×C11×C22⋊C4C2311yescharacteristic
310C2×C42×C11—42no—
311C2×C42×C11C2311yescharacteristic
312C2×C42×C11C2311yescharacteristic
313C2×C42×C11C2311yescharacteristic
314C2×C42×C11C2311yescharacteristic
315C2×C42×C11C2311yescharacteristic
316C2×C42×C11C2311yescharacteristic
317C2×C42×C11C2311yescharacteristic
318C2×C42×C11C2311yescharacteristic
319C2×C42×C11C2311yescharacteristic
320C2×C42×C11C2311yescharacteristic
321C2×C42×C11C2311yescharacteristic
322C2×C42×C11C2311yescharacteristic
323C2×C42×C11C2311yescharacteristic
324C2×C42×C11C2311yescharacteristic
325C2×C42×C11C2311yescharacteristic
326C2×C42×C11C2311yescharacteristic
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
369#60028C1111yesmaximal, characteristic, direct product factor, Sylow
370C24×C11C2411yescharacteristic
371C24×C11C2411yescharacteristic
372C24×C11C2411yescharacteristic
373C24×C11C2411yescharacteristic
374C24×C11C2411yescharacteristic
375C11×#41—416no—
376C2×Q8×C11—22no—
377C2×Q8×C11—22no—
378C2×Q8×C11—22no—
379C2×Q8×C11—22no—
380C2×Q8×C11—22no—
381C2×Q8×C11—41no—
382C2×Q8×C11—41no—
383C2×Q8×C11—41no—
384C2×Q8×C11—41no—
385C2×D4×C11—22no—
386C2×D4×C11—22no—
387C2×D4×C11—22no—
388C2×D4×C11—22no—
389C2×D4×C11—22no—
390C2×D4×C11—22no—
391C2×D4×C11—22no—
392C2×D4×C11—22no—
393C2×D4×C11—22no—
394C2×D4×C11—22no—
395C2×D4×C11—22no—
396C2×D4×C11—22no—
397C2×D4×C11—22no—
398C2×D4×C11—22no—
399C2×D4×C11—22no—
400C2×D4×C11—41no—
401C2×D4×C11—41no—
402C2×D4×C11—41no—
403C2×D4×C11—41no—
404C2×D4×C11—41no—
405C2×D4×C11—41no—
406C2×D4×C11—41no—
407C2×D4×C11—41no—
408C2×D4×C11—41no—
409C2×D4×C11—41no—
410C2×D4×C11—41no—
411C2×D4×C11—41no—
412C2×D4×C11—41no—
413C2×D4×C11—41no—
414C2×D4×C11#4114yes—
415C22×C4×C11—22no—
416C22×C4×C11—22no—
417C22×C4×C11—22no—
418C22×C4×C11—22no—
419C22×C4×C11—22no—
420C22×C4×C11—22no—
421C22×C4×C11—22no—
422C22×C4×C11—22no—
423C22×C4×C11—22no—
424C22×C4×C11—22no—
425C22×C4×C11—22no—
426C22×C4×C11—22no—
427C22×C4×C11—22no—
428C22×C4×C11—22no—
429C22×C4×C11—22no—
430C22×C4×C11—22no—
431C22×C4×C11—22no—
432C22×C4×C11—22no—
433C22×C4×C11—41no—
434C22×C4×C11—41no—
435C22×C4×C11—41no—
436C22×C4×C11—41no—
437C22×C4×C11—41no—
438C22×C4×C11—41no—
439C22×C4×C11—41no—
440C22×C4×C11—41no—
441C22×C4×C11—41no—
442C22×C4×C11—41no—
443C22×C4×C11—41no—
444C22×C4×C11—41no—
445C22×C4×C11—41no—
446C22×C4×C11—41no—
447C22×C4×C11—41no—
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
468C22×C4×C11C2411yescharacteristic
469C22×C4×C11C2411yescharacteristic
470C22×C4×C11C2411yescharacteristic
471C22×C4×C11C2411yescharacteristic
472C22×C4×C11C2411yescharacteristic
473C22×C4×C11C2411yescharacteristic
474C11×C4⋊C4—22no—
475C11×C4⋊C4—22no—
476C11×C4⋊C4—22no—
477C11×C4⋊C4—22no—
478C11×C4⋊C4—22no—
479C11×C4⋊C4—22no—
480C11×C4⋊C4—22no—
481C11×C4⋊C4—22no—
482C11×C4⋊C4—22no—
483C11×C4⋊C4—22no—
484C11×C4⋊C4—22no—
485C11×C4⋊C4—22no—
486C11×C4⋊C4—22no—
487C11×C4⋊C4—22no—
488C11×C4⋊C4—22no—
489C11×C4⋊C4—22no—
490C11×C4⋊C4—22no—
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×C4⋊C4—41no—
498C11×C4⋊C4—41no—
499C11×C4⋊C4—41no—
500C11×C4⋊C4—41no—
501C11×C4⋊C4—41no—
502C11×C4⋊C4#4114yescomplemented
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—22no—
512C11×C22⋊C4—22no—
513C11×C22⋊C4—22no—
514C11×C22⋊C4—22no—
515C11×C22⋊C4—22no—
516C11×C22⋊C4—22no—
517C11×C22⋊C4—22no—
518C11×C22⋊C4—22no—
519C11×C22⋊C4—22no—
520C11×C22⋊C4—22no—
521C11×C22⋊C4—22no—
522C11×C22⋊C4—22no—
523C11×C22⋊C4—22no—
524C11×C22⋊C4—22no—
525C11×C22⋊C4—22no—
526C11×C22⋊C4—22no—
527C11×C22⋊C4—22no—
528C11×C22⋊C4—22no—
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—
543C11×C22⋊C4—41no—
544C11×C22⋊C4—41no—
545C11×C22⋊C4—41no—
546C11×C22⋊C4#4114yescomplemented
547C42×C11—22no—
548C42×C11—22no—
549C42×C11—22no—
550C42×C11—22no—
551C42×C11—22no—
552C42×C11—41no—
553C42×C11—41no—
554C42×C11—41no—
555C42×C11—41no—
556C42×C11—41no—
557C42×C11—41no—
558C42×C11—41no—
559C42×C11—41no—
560C42×C11—41no—
561C42×C11—41no—
562C42×C11—41no—
563#2741C2×C1111yescharacteristic, complemented
564#2692C2×C1111yescharacteristic, complemented
565#2676C2×C1111yescharacteristic, complemented
566#2671C2×C1111yescharacteristic, complemented
567#2607C2×C1111yescharacteristic, complemented
568#2601C2×C1111yescharacteristic, complemented
569#2588C2×C1111yescharacteristic, complemented
570#2560C2×C1111yescharacteristic, complemented
571#2559C2×C1111yescharacteristic, complemented
572#2557C2×C1111yescharacteristic, complemented
573#2549C2×C1111yescharacteristic, complemented
574#2540C2×C1111yescharacteristic, complemented
575#2522C2×C1111yescharacteristic, complemented
576#2521C2×C1111yescharacteristic, complemented
577#2479C2×C1111yescharacteristic, complemented
578#2477C2×C1111yescharacteristic, complemented
579#2467C2×C1111yescharacteristic, complemented
580#2459C2×C1111yescharacteristic, complemented
581#2458C2×C1111yescharacteristic, complemented
582#2457C2×C1111yescharacteristic, complemented
583#2430C2×C1111yescharacteristic, complemented
584#2407C2×C1111yescharacteristic, complemented
585#2368C2×C1111yescharacteristic, complemented
586#2367C2×C1111yescharacteristic, complemented
587#2364C2×C1111yescharacteristic, complemented
588#2364C2×C1111yescharacteristic, complemented
589#2363C2×C1111yescharacteristic, complemented
590#2359C2×C1111yescharacteristic, complemented
591C4×C22⋊Q8C2×C1111yescharacteristic, complemented
592C4×#121C2×C1111yescharacteristic, complemented
593#2297C2×C1111yescharacteristic, complemented
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—21no—
612C23×C11—21no—
613C23×C11—21no—
614C23×C11—21no—
615C23×C11—21no—
616C23×C11—21no—
617C23×C11—21no—
618C23×C11—21no—
619C23×C11—21no—
620C23×C11—21no—
621C23×C11—21no—
622C23×C11—21no—
623C23×C11—21no—
624C23×C11—21no—
625C23×C11—21no—
626C23×C11C2×#4112yes—
627C23×C11C2×#4112yes—
628C23×C11C2×#4112yes—
629C23×C11C2511yescharacteristic
630Q8×C11—44no—
631Q8×C11—44no—
632Q8×C11—82no—
633D4×C11—44no—
634D4×C11—44no—
635D4×C11—44no—
636D4×C11—44no—
637D4×C11—44no—
638D4×C11—44no—
639D4×C11—44no—
640D4×C11—44no—
641D4×C11—82no—
642D4×C11—82no—
643C2×C4×C11—28no—
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—21no—
709C2×C4×C11—21no—
710C2×C4×C11—21no—
711C2×C4×C11—21no—
712C2×C4×C11—44no—
713C2×C4×C11—44no—
714C2×C4×C11—44no—
715C2×C4×C11—44no—
716C2×C4×C11—44no—
717C2×C4×C11—82no—
718C2×C4×C11—82no—
719C2×C4×C11—82no—
720C2×C4×C11—82no—
721C2×C4×C11—82no—
722C2×C4×C11C2×#4112yes—
723C2×C4×C11C2×#4112yes—
724C2×C4×C11C2×#4112yes—
725C2×C4×C11C2×#4112yes—
726C2×C4×C11C2×#4112yes—
727C2×C4×C11C2×#4112yes—
728C2×C4×C11H(5,𝔽2)12yes—
729C2×C4×C11H(5,𝔽2)12yes—
730C2×C4×C11H(5,𝔽2)12yes—
731C2×C4×C112−1+412yes—
732C22×#41C22×C1111yescharacteristic
733C2×#126C22×C1111yescharacteristic
734C2×#126C22×C1111yescharacteristic
735C2×#124C22×C1111yescharacteristic
736C2×#124C22×C1111yescharacteristic
737C2×#123C22×C1111yescharacteristic
738C2×#123C22×C1111yescharacteristic
739C2×C22⋊Q8C22×C1111yescharacteristic
740C2×C22⋊Q8C22×C1111yescharacteristic
741C2×C22⋊Q8C22×C1111yescharacteristic
742C2×C22⋊Q8C22×C1111yescharacteristic
743C2×#121C22×C1111yescharacteristic
744C2×#121C22×C1111yescharacteristic
745C2×#121C22×C1111yescharacteristic
746C2×#121C22×C1111yescharacteristic
747C2×#121C22×C1111yescharacteristic
748C2×C4×Q8C22×C1111yescharacteristic
749C2×C4×D4C22×C1111yescharacteristic
750C2×C4×D4C22×C1111yescharacteristic
751C2×C4×D4C22×C1111yescharacteristic
752C2×C4×D4C22×C1111yescharacteristic
753C2×C4×D4C22×C1111yescharacteristic
754C2×#117C22×C1111yescharacteristic
755C2×#117C22×C1111yescharacteristic
756C22×C42C22×C1111yescharacteristic
757#400C22×C1111yescharacteristic
758#400C22×C1111yescharacteristic
759#399C22×C1111yescharacteristic
760#399C22×C1111yescharacteristic
761#399C22×C1111yescharacteristic
762#399C22×C1111yescharacteristic
763#398C22×C1111yescharacteristic
764#398C22×C1111yescharacteristic
765#398C22×C1111yescharacteristic
766#398C22×C1111yescharacteristic
767#397C22×C1111yescharacteristic
768#397C22×C1111yescharacteristic
769#396C22×C1111yescharacteristic
770#396C22×C1111yescharacteristic
771#395C22×C1111yescharacteristic
772#395C22×C1111yescharacteristic
773#394C22×C1111yescharacteristic
774#394C22×C1111yescharacteristic
775#394C22×C1111yescharacteristic
776#394C22×C1111yescharacteristic
777#394C22×C1111yescharacteristic
778#394C22×C1111yescharacteristic
779#394C22×C1111yescharacteristic
780#394C22×C1111yescharacteristic
781#393C22×C1111yescharacteristic
782#393C22×C1111yescharacteristic
783#393C22×C1111yescharacteristic
784#393C22×C1111yescharacteristic
785#392C22×C1111yescharacteristic
786#392C22×C1111yescharacteristic
787#392C22×C1111yescharacteristic
788#392C22×C1111yescharacteristic
789#391C22×C1111yescharacteristic
790#391C22×C1111yescharacteristic
791#391C22×C1111yescharacteristic
792#391C22×C1111yescharacteristic
793#391C22×C1111yescharacteristic
794#391C22×C1111yescharacteristic
795#391C22×C1111yescharacteristic
796#390C22×C1111yescharacteristic
797#390C22×C1111yescharacteristic
798#390C22×C1111yescharacteristic
799#390C22×C1111yescharacteristic
800#390C22×C1111yescharacteristic
801#390C22×C1111yescharacteristic
802#390C22×C1111yescharacteristic
803#389C22×C1111yescharacteristic
804#389C22×C1111yescharacteristic
805#389C22×C1111yescharacteristic
806#389C22×C1111yescharacteristic
807#388C22×C1111yescharacteristic
808#388C22×C1111yescharacteristic
809#388C22×C1111yescharacteristic
810#388C22×C1111yescharacteristic
811#388C22×C1111yescharacteristic
812#388C22×C1111yescharacteristic
813#388C22×C1111yescharacteristic
814#388C22×C1111yescharacteristic
815#388C22×C1111yescharacteristic
816#388C22×C1111yescharacteristic
817#388C22×C1111yescharacteristic
818#388C22×C1111yescharacteristic
819#388C22×C1111yescharacteristic
820#388C22×C1111yescharacteristic
821#388C22×C1111yescharacteristic
822#388C22×C1111yescharacteristic
823#387C22×C1111yescharacteristic
824#387C22×C1111yescharacteristic
825#387C22×C1111yescharacteristic
826#387C22×C1111yescharacteristic
827#387C22×C1111yescharacteristic
828#387C22×C1111yescharacteristic
829#387C22×C1111yescharacteristic
830#387C22×C1111yescharacteristic
831#387C22×C1111yescharacteristic
832#387C22×C1111yescharacteristic
833#387C22×C1111yescharacteristic
834#387C22×C1111yescharacteristic
835#387C22×C1111yescharacteristic
836#387C22×C1111yescharacteristic
837#386C22×C1111yescharacteristic
838#386C22×C1111yescharacteristic
839#386C22×C1111yescharacteristic
840#386C22×C1111yescharacteristic
841#386C22×C1111yescharacteristic
842#386C22×C1111yescharacteristic
843#386C22×C1111yescharacteristic
844#386C22×C1111yescharacteristic
845#386C22×C1111yescharacteristic
846#386C22×C1111yescharacteristic
847#386C22×C1111yescharacteristic
848#386C22×C1111yescharacteristic
849#386C22×C1111yescharacteristic
850#386C22×C1111yescharacteristic
851#386C22×C1111yescharacteristic
852#386C22×C1111yescharacteristic
853#385C22×C1111yescharacteristic
854#385C22×C1111yescharacteristic
855#385C22×C1111yescharacteristic
856#385C22×C1111yescharacteristic
857#385C22×C1111yescharacteristic
858#385C22×C1111yescharacteristic
859#385C22×C1111yescharacteristic
860#385C22×C1111yescharacteristic
861#381C22×C1111yescharacteristic
862#380C22×C1111yescharacteristic
863#380C22×C1111yescharacteristic
864#380C22×C1111yescharacteristic
865#380C22×C1111yescharacteristic
866C4×C4⋊C4C22×C1111yescharacteristic
867C4×C4⋊C4C22×C1111yescharacteristic
868C4×C4⋊C4C22×C1111yescharacteristic
869C4×C4⋊C4C22×C1111yescharacteristic
870C4×C4⋊C4C22×C1111yescharacteristic
871C4×C4⋊C4C22×C1111yescharacteristic
872C4×C22⋊C4C22×C1111yescharacteristic
873C4×C22⋊C4C22×C1111yescharacteristic
874C4×C22⋊C4C22×C1111yescharacteristic
875C4×C22⋊C4C22×C1111yescharacteristic
876C4×C22⋊C4C22×C1111yescharacteristic
877C4×C22⋊C4C22×C1111yescharacteristic
878C4×C22⋊C4C22×C1111yescharacteristic
879C4×C22⋊C4C22×C1111yescharacteristic
880C4×C22⋊C4C22×C1111yescharacteristic
881C4×C22⋊C4C22×C1111yescharacteristic
882C4×C22⋊C4C22×C1111yescharacteristic
883C4×C22⋊C4C22×C1111yescharacteristic
884C4×C22⋊C4C22×C1111yescharacteristic
885C2×#95C22×C1111yescharacteristic
886C2×#95C22×C1111yescharacteristic
887C22×C11—22no—
888C22×C11—22no—
889C22×C11—22no—
890C22×C11—22no—
891C22×C11—22no—
892C22×C11—22no—
893C22×C11—22no—
894C22×C11—22no—
895C22×C11—22no—
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—41no—
912C22×C11—41no—
913C22×C11—41no—
914C22×C11—41no—
915C22×C11—41no—
916C22×C11—41no—
917C22×C11—41no—
918C22×C11—41no—
919C22×C11—41no—
920C22×C11—41no—
921C22×C11—41no—
922C22×C11C22×#4111yescharacteristic
923C22×C11C22×#4111yescharacteristic
924C22×C11C22×#4111yescharacteristic
925C22×C11C2×H(5,𝔽2)11yescharacteristic
926C22×C11C2×H(5,𝔽2)11yescharacteristic
927C22×C11C2×H(5,𝔽2)11yescharacteristic
928C22×C11C2×2−1+411yescharacteristic
929C4×C11—22no—
930C4×C11—22no—
931C4×C11—22no—
932C4×C11—22no—
933C4×C11—22no—
934C4×C11—22no—
935C4×C11—22no—
936C4×C11—22no—
937C4×C11—22no—
938C4×C11—22no—
939C4×C11—41no—
940C4×C11—41no—
941C4×C11—41no—
942C4×C11—41no—
943C4×C11—41no—
944C4×C11—41no—
945C4×C11—41no—
946C4×C11—41no—
947C4×C11—41no—
948C4×C11—41no—
949C4×C11—41no—
950C4×C11—41no—
951C4×C11—41no—
952C4×C11—41no—
953C4×C11—41no—
954C4×C11—41no—
955C2×#41—24no—
956C2×#41—42no—
957C2×#41—42no—
958C22×Q8C23×C1111yescharacteristic
959C22×Q8C23×C1111yescharacteristic
960C22×Q8C23×C1111yescharacteristic
961C22×D4C23×C1111yescharacteristic
962C22×D4C23×C1111yescharacteristic
963C22×D4C23×C1111yescharacteristic
964C22×D4C23×C1111yescharacteristic
965C22×D4C23×C1111yescharacteristic
966C22×D4C23×C1111yescharacteristic
967C22×D4C23×C1111yescharacteristic
968C22×D4C23×C1111yescharacteristic
969C22×D4C23×C1111yescharacteristic
970C22×D4C23×C1111yescharacteristic
971C23×C4C23×C1111yescharacteristic
972C23×C4C23×C1111yescharacteristic
973C23×C4C23×C1111yescharacteristic
974C23×C4C23×C1111yescharacteristic
975C23×C4C23×C1111yescharacteristic
976C23×C4C23×C1111yescharacteristic
977C23×C4C23×C1111yescharacteristic
978C23×C4C23×C1111yescharacteristic
979C23×C4C23×C1111yescharacteristic
980C23×C4C23×C1111yescharacteristic
981C23×C4C23×C1111yescharacteristic
982#126—42no—
983#126—42no—
984#124—24no—
985#124—42no—
986#123—24no—
987#123—42no—
988C22⋊Q8—24no—
989C22⋊Q8—24no—
990C22⋊Q8—42no—
991C22⋊Q8—42no—
992#121—24no—
993#121—24no—
994#121—24no—
995#121—24no—
996#121—42no—
997C4×Q8—42no—
998C4×D4—42no—
999C4×D4—42no—
1000C4×D4—42no—
1001C4×D4—42no—
1002C4×D4—42no—
1003#117—42no—
1004#117—42no—
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×C4⋊C4C23×C1111yescharacteristic
1020C2×C4⋊C4C23×C1111yescharacteristic
1021C2×C4⋊C4C23×C1111yescharacteristic
1022C2×C4⋊C4C23×C1111yescharacteristic
1023C2×C4⋊C4C23×C1111yescharacteristic
1024C2×C4⋊C4C23×C1111yescharacteristic
1025C2×C4⋊C4C23×C1111yescharacteristic
1026C2×C4⋊C4C23×C1111yescharacteristic
1027C2×C4⋊C4C23×C1111yescharacteristic
1028C2×C4⋊C4C23×C1111yescharacteristic
1029C2×C4⋊C4C23×C1111yescharacteristic
1030C2×C4⋊C4C23×C1111yescharacteristic
1031C2×C4⋊C4C23×C1111yescharacteristic
1032C2×C4⋊C4C23×C1111yescharacteristic
1033C2×C4⋊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×C22⋊C4C23×C1111yescharacteristic
1068C2×C22⋊C4C23×C1111yescharacteristic
1069C2×C22⋊C4C23×C1111yescharacteristic
1070C2×C22⋊C4C23×C1111yescharacteristic
1071C2×C22⋊C4C23×C1111yescharacteristic
1072C2×C22⋊C4C23×C1111yescharacteristic
1073C2×C22⋊C4C23×C1111yescharacteristic
1074C2×C22⋊C4C23×C1111yescharacteristic
1075C2×C22⋊C4C23×C1111yescharacteristic
1076C2×C22⋊C4C23×C1111yescharacteristic
1077C2×C22⋊C4C23×C1111yescharacteristic
1078C2×C42—42no—
1079C2×C42C23×C1111yescharacteristic
1080C2×C42C23×C1111yescharacteristic
1081C2×C42C23×C1111yescharacteristic
1082C2×C42C23×C1111yescharacteristic
1083C2×C42C23×C1111yescharacteristic
1084C2×C42C23×C1111yescharacteristic
1085C2×C42C23×C1111yescharacteristic
1086C2×C42C23×C1111yescharacteristic
1087C2×C42C23×C1111yescharacteristic
1088C2×C42C23×C1111yescharacteristic
1089C2×C42C23×C1111yescharacteristic
1090C2×C42C23×C1111yescharacteristic
1091C2×C42C23×C1111yescharacteristic
1092C2×C42C23×C1111yescharacteristic
1093C2×C42C23×C1111yescharacteristic
1094C2×C42C23×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
1121#95C23×C1111yescharacteristic
1122#95C23×C1111yescharacteristic
1123#95C23×C1111yescharacteristic
1124#95C23×C1111yescharacteristic
1125#95C23×C1111yescharacteristic
1126#95C23×C1111yescharacteristic
1127#95C23×C1111yescharacteristic
1128#95C23×C1111yescharacteristic
1129#95C23×C1111yescharacteristic
1130#95C23×C1111yescharacteristic
1131#95C23×C1111yescharacteristic
1132#95C23×C1111yescharacteristic
1133#95C23×C1111yescharacteristic
1134#95C23×C1111yescharacteristic
1135#95C23×C1111yescharacteristic
1136#95C23×C1111yescharacteristic
1137C2×C11—42no—
1138C2×C11—42no—
1139C2×C11—42no—
1140C2×C11—81no—
1141C2×C11—81no—
1142C2×C11#348111yescharacteristic
1143C2×C11#348111yescharacteristic
1144C2×C11#348211yescharacteristic
1145C2×C11#349011yescharacteristic
1146C2×C11#350811yescharacteristic
1147C2×C11#351111yescharacteristic
1148C2×C11#353611yescharacteristic
1149C24C24×C1111yescharacteristic
1150C24C24×C1111yescharacteristic
1151C24C24×C1111yescharacteristic
1152C24C24×C1111yescharacteristic
1153C24C24×C1111yescharacteristic
1154#41—416no—
1155C2×Q8—22no—
1156C2×Q8—22no—
1157C2×Q8—22no—
1158C2×Q8—22no—
1159C2×Q8—22no—
1160C2×Q8—41no—
1161C2×Q8—41no—
1162C2×Q8—41no—
1163C2×Q8—41no—
1164C2×D4—22no—
1165C2×D4—22no—
1166C2×D4—22no—
1167C2×D4—22no—
1168C2×D4—22no—
1169C2×D4—22no—
1170C2×D4—22no—
1171C2×D4—22no—
1172C2×D4—22no—
1173C2×D4—22no—
1174C2×D4—22no—
1175C2×D4—22no—
1176C2×D4—22no—
1177C2×D4—22no—
1178C2×D4—22no—
1179C2×D4—41no—
1180C2×D4—41no—
1181C2×D4—41no—
1182C2×D4—41no—
1183C2×D4—41no—
1184C2×D4—41no—
1185C2×D4—41no—
1186C2×D4—41no—
1187C2×D4—41no—
1188C2×D4—41no—
1189C2×D4—41no—
1190C2×D4—41no—
1191C2×D4—41no—
1192C2×D4—41no—
1193C2×D4C11×#4114yes—
1194C22×C4—22no—
1195C22×C4—22no—
1196C22×C4—22no—
1197C22×C4—22no—
1198C22×C4—22no—
1199C22×C4—22no—
1200C22×C4—22no—
1201C22×C4—22no—
1202C22×C4—22no—
1203C22×C4—22no—
1204C22×C4—22no—
1205C22×C4—22no—
1206C22×C4—22no—
1207C22×C4—22no—
1208C22×C4—22no—
1209C22×C4—22no—
1210C22×C4—22no—
1211C22×C4—22no—
1212C22×C4—41no—
1213C22×C4—41no—
1214C22×C4—41no—
1215C22×C4—41no—
1216C22×C4—41no—
1217C22×C4—41no—
1218C22×C4—41no—
1219C22×C4—41no—
1220C22×C4—41no—
1221C22×C4—41no—
1222C22×C4—41no—
1223C22×C4—41no—
1224C22×C4—41no—
1225C22×C4—41no—
1226C22×C4—41no—
1227C22×C4C24×C1111yescharacteristic
1228C22×C4C24×C1111yescharacteristic
1229C22×C4C24×C1111yescharacteristic
1230C22×C4C24×C1111yescharacteristic
1231C22×C4C24×C1111yescharacteristic
1232C22×C4C24×C1111yescharacteristic
1233C22×C4C24×C1111yescharacteristic
1234C22×C4C24×C1111yescharacteristic
1235C22×C4C24×C1111yescharacteristic
1236C22×C4C24×C1111yescharacteristic
1237C22×C4C24×C1111yescharacteristic
1238C22×C4C24×C1111yescharacteristic
1239C22×C4C24×C1111yescharacteristic
1240C22×C4C24×C1111yescharacteristic
1241C22×C4C24×C1111yescharacteristic
1242C22×C4C24×C1111yescharacteristic
1243C22×C4C24×C1111yescharacteristic
1244C22×C4C24×C1111yescharacteristic
1245C22×C4C24×C1111yescharacteristic
1246C22×C4C24×C1111yescharacteristic
1247C22×C4C24×C1111yescharacteristic
1248C22×C4C24×C1111yescharacteristic
1249C22×C4C24×C1111yescharacteristic
1250C22×C4C24×C1111yescharacteristic
1251C22×C4C24×C1111yescharacteristic
1252C22×C4C24×C1111yescharacteristic
1253C4⋊C4—22no—
1254C4⋊C4—22no—
1255C4⋊C4—22no—
1256C4⋊C4—22no—
1257C4⋊C4—22no—
1258C4⋊C4—22no—
1259C4⋊C4—22no—
1260C4⋊C4—22no—
1261C4⋊C4—22no—
1262C4⋊C4—22no—
1263C4⋊C4—22no—
1264C4⋊C4—22no—
1265C4⋊C4—22no—
1266C4⋊C4—22no—
1267C4⋊C4—22no—
1268C4⋊C4—22no—
1269C4⋊C4—22no—
1270C4⋊C4—41no—
1271C4⋊C4—41no—
1272C4⋊C4—41no—
1273C4⋊C4—41no—
1274C4⋊C4—41no—
1275C4⋊C4—41no—
1276C4⋊C4—41no—
1277C4⋊C4—41no—
1278C4⋊C4—41no—
1279C4⋊C4—41no—
1280C4⋊C4—41no—
1281C4⋊C4C11×#4114yescomplemented
1282C22⋊C4—22no—
1283C22⋊C4—22no—
1284C22⋊C4—22no—
1285C22⋊C4—22no—
1286C22⋊C4—22no—
1287C22⋊C4—22no—
1288C22⋊C4—22no—
1289C22⋊C4—22no—
1290C22⋊C4—22no—
1291C22⋊C4—22no—
1292C22⋊C4—22no—
1293C22⋊C4—22no—
1294C22⋊C4—22no—
1295C22⋊C4—22no—
1296C22⋊C4—22no—
1297C22⋊C4—22no—
1298C22⋊C4—22no—
1299C22⋊C4—22no—
1300C22⋊C4—22no—
1301C22⋊C4—22no—
1302C22⋊C4—22no—
1303C22⋊C4—22no—
1304C22⋊C4—22no—
1305C22⋊C4—22no—
1306C22⋊C4—22no—
1307C22⋊C4—22no—
1308C22⋊C4—41no—
1309C22⋊C4—41no—
1310C22⋊C4—41no—
1311C22⋊C4—41no—
1312C22⋊C4—41no—
1313C22⋊C4—41no—
1314C22⋊C4—41no—
1315C22⋊C4—41no—
1316C22⋊C4—41no—
1317C22⋊C4—41no—
1318C22⋊C4—41no—
1319C22⋊C4—41no—
1320C22⋊C4—41no—
1321C22⋊C4—41no—
1322C22⋊C4—41no—
1323C22⋊C4—41no—
1324C22⋊C4—41no—
1325C22⋊C4C11×#4114yescomplemented
1326C42—22no—
1327C42—22no—
1328C42—22no—
1329C42—22no—
1330C42—22no—
1331C42—41no—
1332C42—41no—
1333C42—41no—
1334C42—41no—
1335C42—41no—
1336C42—41no—
1337C42—41no—
1338C42—41no—
1339C42—41no—
1340C42—41no—
1341C42—41no—
1342C11#6002811yescharacteristic, direct product factor, Sylow
1343C23—21no—
1344C23—21no—
1345C23—21no—
1346C23—21no—
1347C23—21no—
1348C23—21no—
1349C23—21no—
1350C23—21no—
1351C23—21no—
1352C23—21no—
1353C23—21no—
1354C23—21no—
1355C23—21no—
1356C23—21no—
1357C23—21no—
1358C23—21no—
1359C23—21no—
1360C23—21no—
1361C23—21no—
1362C23—21no—
1363C23—21no—
1364C23—21no—
1365C23—21no—
1366C23—21no—
1367C23—21no—
1368C23—21no—
1369C23—21no—
1370C23—21no—
1371C23—21no—
1372C23—21no—
1373C23—21no—
1374C23—21no—
1375C23C2×C11×#4112yes—
1376C23C2×C11×#4112yes—
1377C23C2×C11×#4112yes—
1378C23C25×C1111yescharacteristic
1379Q8—44no—
1380Q8—44no—
1381Q8—82no—
1382D4—44no—
1383D4—44no—
1384D4—44no—
1385D4—44no—
1386D4—44no—
1387D4—44no—
1388D4—44no—
1389D4—44no—
1390D4—82no—
1391D4—82no—
1392C2×C4—28no—
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—21no—
1448C2×C4—21no—
1449C2×C4—21no—
1450C2×C4—21no—
1451C2×C4—21no—
1452C2×C4—21no—
1453C2×C4—21no—
1454C2×C4—21no—
1455C2×C4—21no—
1456C2×C4—21no—
1457C2×C4—21no—
1458C2×C4—21no—
1459C2×C4—21no—
1460C2×C4—21no—
1461C2×C4—44no—
1462C2×C4—44no—
1463C2×C4—44no—
1464C2×C4—44no—
1465C2×C4—44no—
1466C2×C4—82no—
1467C2×C4—82no—
1468C2×C4—82no—
1469C2×C4—82no—
1470C2×C4—82no—
1471C2×C4C2×C11×#4112yes—
1472C2×C4C2×C11×#4112yes—
1473C2×C4C2×C11×#4112yes—
1474C2×C4C2×C11×#4112yes—
1475C2×C4C2×C11×#4112yes—
1476C2×C4C2×C11×#4112yes—
1477C2×C4C11×H(5,𝔽2)12yes—
1478C2×C4C11×H(5,𝔽2)12yes—
1479C2×C4C11×H(5,𝔽2)12yes—
1480C2×C4C11×2−1+412yes—
1481C22—22no—
1482C22—22no—
1483C22—22no—
1484C22—22no—
1485C22—22no—
1486C22—22no—
1487C22—22no—
1488C22—22no—
1489C22—22no—
1490C22—41no—
1491C22—41no—
1492C22—41no—
1493C22—41no—
1494C22—41no—
1495C22—41no—
1496C22—41no—
1497C22—41no—
1498C22—41no—
1499C22—41no—
1500C22—41no—
1501C22—41no—
1502C22—41no—
1503C22—41no—
1504C22—41no—
1505C22—41no—
1506C22—41no—
1507C22—41no—
1508C22—41no—
1509C22—41no—
1510C22—41no—
1511C22—41no—
1512C22—41no—
1513C22—41no—
1514C22—41no—
1515C22—41no—
1516C22C22×C11×#4111yescharacteristic
1517C22C22×C11×#4111yescharacteristic
1518C22C22×C11×#4111yescharacteristic
1519C22C2×C11×H(5,𝔽2)11yescharacteristic
1520C22C2×C11×H(5,𝔽2)11yescharacteristic
1521C22C2×C11×H(5,𝔽2)11yescharacteristic
1522C22C2×C11×2−1+411yescharacteristic
1523C4—22no—
1524C4—22no—
1525C4—22no—
1526C4—22no—
1527C4—22no—
1528C4—22no—
1529C4—22no—
1530C4—22no—
1531C4—22no—
1532C4—22no—
1533C4—41no—
1534C4—41no—
1535C4—41no—
1536C4—41no—
1537C4—41no—
1538C4—41no—
1539C4—41no—
1540C4—41no—
1541C4—41no—
1542C4—41no—
1543C4—41no—
1544C4—41no—
1545C4—41no—
1546C4—41no—
1547C4—41no—
1548C4—41no—
1549C2—42no—
1550C2—42no—
1551C2—42no—
1552C2—81no—
1553C2—81no—
1554C2C11×#348111yescharacteristic
1555C2C11×#348111yescharacteristic
1556C2C11×#348211yescharacteristic
1557C2C11×#349011yescharacteristic
1558C2C11×#350811yescharacteristic
1559C2C11×#351111yescharacteristic
1560C2C11×#353611yescharacteristic
subgroupG/H
center, socleC23×C11C25
commutator, Frattini, cosocleC23C25×C11
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23×C11 ◁ G

Complements

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

NH ≅ G/Ntype
1. C11×#2741C2semidirect
2. C11×#2692C2semidirect
3. C11×#2676C2semidirect
4. C11×#2671C2semidirect
5. C11×#2607C2semidirect
6. C11×#2601C2semidirect
7. C11×#2588C2semidirect
8. C11×#2560C2semidirect
9. C11×#2559C2semidirect
10. C11×#2557C2semidirect
11. C11×#2549C2semidirect
12. C11×#2540C2semidirect
13. C11×#2522C2semidirect
14. C11×#2521C2semidirect
15. C11×#2479C2semidirect
16. C11×#2477C2semidirect
17. C11×#2467C2semidirect
18. C11×#2459C2semidirect
19. C11×#2458C2semidirect
20. C11×#2457C2semidirect
21. C11×#2430C2semidirect
22. C11×#2407C2semidirect
23. C11×#2368C2semidirect
24. C11×#2367C2semidirect
25. C11×#2364C2semidirect
26. C11×#2364C2semidirect
27. C11×#2363C2semidirect
28. C11×#2359C2semidirect
29. C4×C11×C22⋊Q8C2semidirect
30. C4×C11×#121C2semidirect
31. C11×#2297C2semidirect
369. #60028C11direct (N × H)
502. C11×C4⋊C4#41semidirect
546. C11×C22⋊C4#41semidirect
563. #2741C2×C11semidirect
564. #2692C2×C11semidirect
565. #2676C2×C11semidirect
566. #2671C2×C11semidirect
567. #2607C2×C11semidirect
568. #2601C2×C11semidirect
569. #2588C2×C11semidirect
570. #2560C2×C11semidirect
571. #2559C2×C11semidirect
572. #2557C2×C11semidirect
573. #2549C2×C11semidirect
574. #2540C2×C11semidirect
575. #2522C2×C11semidirect
576. #2521C2×C11semidirect
577. #2479C2×C11semidirect
578. #2477C2×C11semidirect
579. #2467C2×C11semidirect
580. #2459C2×C11semidirect
581. #2458C2×C11semidirect
582. #2457C2×C11semidirect
583. #2430C2×C11semidirect
584. #2407C2×C11semidirect
585. #2368C2×C11semidirect
586. #2367C2×C11semidirect
587. #2364C2×C11semidirect
588. #2364C2×C11semidirect
589. #2363C2×C11semidirect
590. #2359C2×C11semidirect
591. C4×C22⋊Q8C2×C11semidirect
592. C4×#121C2×C11semidirect
593. #2297C2×C11semidirect
1281. C4⋊C4C11×#41semidirect
1325. C22⋊C4C11×#41semidirect
1342. C11#60028direct (N × H)

Maximal subgroups

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

subgroupindex
C11×#27412
C11×#26922
C11×#26762
C11×#26712
C11×#26072
C11×#26012
C11×#25882
C11×#25602
C11×#25592
C11×#25572
C11×#25492
C11×#25402
C11×#25222
C11×#25212
C11×#24792
C11×#24772
C11×#24672
C11×#24592
C11×#24582
C11×#24572
C11×#24302
C11×#24072
C11×#23682
C11×#23672
C11×#23642
C11×#23632
C11×#23592
C4×C11×C22⋊Q82
C4×C11×#1212
C11×#22972
#6002811