Finite Group Databasebeta

← C11×#32961 #14610154

Subgroups — C11×#32961 #14610154

Order 2816.

1320 conjugacy classes of subgroups.

The subgroup lattice has 742 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C4×C11×#41C211yesmaximal, characteristic
2C2×C11×#479C211yesmaximal, characteristic, complemented
3C2×C11×#478C211yesmaximal, characteristic, complemented
4C11×#2851C211yesmaximal, characteristic, complemented
5C11×#1865C211yesmaximal, characteristic, complemented
6C11×#1864C211yesmaximal, characteristic, complemented
7C11×#1863C211yesmaximal, characteristic, complemented
8C11×#1862C211yesmaximal, characteristic, complemented
9C11×#1854C211yesmaximal, characteristic, complemented
10C11×#1854C211yesmaximal, characteristic, complemented
11C11×#1805C211yesmaximal, characteristic, complemented
12C11×#1804C211yesmaximal, characteristic, complemented
13C11×#1797C211yesmaximal, characteristic, complemented
14C11×#1788C211yesmaximal, characteristic
15C11×#1788C211yesmaximal, characteristic
16C22×C11×#41C2211yescharacteristic
17C2×C11×#125C2211yescharacteristic
18C4×C11×#41—24no—
19C4×C11×#41—24no—
20C2×C4×Q8×C11C2211yescharacteristic
21C2×C4×Q8×C11C2211yescharacteristic
22C2×C4×D4×C11—21no—
23C2×C4×D4×C11—21no—
24C2×C4×D4×C11C2211yescharacteristic
25C2×C4×D4×C11C2211yescharacteristic
26C2×C11×#117—21no—
27C2×C11×#117C2211yescharacteristic
28C22×C42×C11—21no—
29C22×C42×C11C2211yescharacteristic
30C11×#479—24no—
31C11×#478—24no—
32C2×C11×#107C2211yescharacteristic
33C2×C11×#107C2211yescharacteristic
34C2×C11×#106C2211yescharacteristic
35C2×C11×#106C2211yescharacteristic
36C2×C11×C4⋊C8C2211yescharacteristic
37C2×C11×C4⋊C8C2211yescharacteristic
38C2×C11×#103C2211yescharacteristic
39C2×C11×#103C2211yescharacteristic
40C2×C11×#103C2211yescharacteristic
41C2×C11×#103C2211yescharacteristic
42C2×C11×#102C2211yescharacteristic
43C2×C11×#102C2211yescharacteristic
44C2×C11×#102C2211yescharacteristic
45C2×C11×#102C2211yescharacteristic
46C2×C11×C22⋊C8C2211yescharacteristic
47C2×C11×C22⋊C8C2211yescharacteristic
48C11×#389C2211yescharacteristic
49C11×#389C2211yescharacteristic
50C11×#387—21no—
51C11×#387—21no—
52C11×#385—21no—
53C11×#385—21no—
54C11×#382C2211yescharacteristic
55C11×#380C2211yescharacteristic
56C11×#380C2211yescharacteristic
57C11×#340C2211yescharacteristic
58C11×#340C2211yescharacteristic
59C11×#340C2211yescharacteristic
60C11×#340C2211yescharacteristic
61C11×#336C2211yescharacteristic
62C11×#336C2211yescharacteristic
63C2×C11×#41—22no—
64C2×C11×#41—22no—
65C2×C11×#41—22no—
66C2×C11×#41—22no—
67C2×C11×#41—22no—
68C2×C11×#41Q814yes—
69C22×Q8×C11C2311yescharacteristic
70C22×D4×C11—21no—
71C22×D4×C11C2311yescharacteristic
72C23×C4×C11—21no—
73C23×C4×C11—21no—
74C23×C4×C11—21no—
75C23×C4×C11D411yescharacteristic
76C23×C4×C11D411yescharacteristic
77C23×C4×C11C2311yescharacteristic
78C22×C8×C11C2311yescharacteristic
79C22×C8×C11C2311yescharacteristic
80C22×C8×C11C2311yescharacteristic
81C22×C8×C11C2311yescharacteristic
82C11×#125—22no—
83C11×#125—22no—
84C4×Q8×C11—22no—
85C4×Q8×C11—22no—
86C4×Q8×C11—22no—
87C4×Q8×C11D414yes—
88C4×D4×C11—28no—
89C4×D4×C11—28no—
90C4×D4×C11—22no—
91C4×D4×C11—22no—
92C4×D4×C11—22no—
93C4×D4×C11D414yes—
94C11×#117—28no—
95C11×#117—22no—
96C11×#117—22no—
97C2×C11×C4⋊C4—21no—
98C2×C11×C4⋊C4—21no—
99C2×C11×C4⋊C4—21no—
100C2×C11×C4⋊C4—21no—
101C2×C11×C4⋊C4—21no—
102C2×C11×C4⋊C4—21no—
103C2×C11×C4⋊C4C2311yescharacteristic
104C2×C11×C4⋊C4C2311yescharacteristic
105C2×C11×C4⋊C4C2311yescharacteristic
106C2×C11×C4⋊C4C2311yescharacteristic
107C2×C11×C4⋊C4C2311yescharacteristic
108C2×C11×C4⋊C4C2311yescharacteristic
109C2×C11×C22⋊C4—21no—
110C2×C11×C22⋊C4—21no—
111C2×C11×C22⋊C4—21no—
112C2×C11×C22⋊C4—21no—
113C2×C11×C22⋊C4—21no—
114C2×C42×C11—28no—
115C2×C42×C11—21no—
116C2×C42×C11—21no—
117C2×C42×C11—21no—
118C2×C42×C11—22no—
119C2×C42×C11—22no—
120C2×C42×C11D411yescharacteristic
121C2×C42×C11D411yescharacteristic
122C2×C42×C11C2311yescharacteristic
123C2×C42×C11C2311yescharacteristic
124C11×#107—22no—
125C11×#107—22no—
126C11×#106—22no—
127C11×#106—22no—
128C11×C4⋊C8—22no—
129C11×C4⋊C8—22no—
130C11×#103—22no—
131C11×#103—22no—
132C11×#103—22no—
133C11×#103—22no—
134C11×#102—22no—
135C11×#102—22no—
136C11×#102—22no—
137C11×#102—22no—
138C11×C22⋊C8—22no—
139C11×C22⋊C8—22no—
140C11×#95—21no—
141C11×#95—21no—
142C11×#95—21no—
143C11×#95—21no—
144C11×#95—21no—
145C11×#95—21no—
146#32961C1111yesmaximal, characteristic, direct product factor, Sylow
147C24×C11—21no—
148C24×C11C2×D411yescharacteristic
149C11×#41—28no—
150C11×#41—28no—
151C11×#41—28no—
152C11×#41—28no—
153C2×Q8×C11—21no—
154C2×Q8×C11—21no—
155C2×Q8×C11—21no—
156C2×Q8×C11C2×D412yes—
157C2×Q8×C11C2×Q812yes—
158C2×Q8×C11#4112yes—
159C2×D4×C11—24no—
160C2×D4×C11—24no—
161C2×D4×C11—24no—
162C2×D4×C11—21no—
163C2×D4×C11—21no—
164C2×D4×C11—21no—
165C2×D4×C11C2×D412yes—
166C2×D4×C11C2×Q812yes—
167C2×D4×C11#4112yes—
168C22×C4×C11—24no—
169C22×C4×C11—24no—
170C22×C4×C11—21no—
171C22×C4×C11—24no—
172C22×C4×C11—21no—
173C22×C4×C11—21no—
174C22×C4×C11—21no—
175C22×C4×C11—21no—
176C22×C4×C11—24no—
177C22×C4×C11—21no—
178C22×C4×C11—21no—
179C22×C4×C11—22no—
180C22×C4×C11—22no—
181C22×C4×C11—24no—
182C22×C4×C11—22no—
183C22×C4×C11—21no—
184C22×C4×C11—21no—
185C22×C4×C11—21no—
186C22×C4×C11—21no—
187C22×C4×C11—41no—
188C22×C4×C11—41no—
189C22×C4×C11—41no—
190C22×C4×C11—42no—
191C22×C4×C11—42no—
192C22×C4×C11—42no—
193C22×C4×C11—42no—
194C22×C4×C11C2×D411yescharacteristic
195C22×C4×C11C2×D411yescharacteristic
196C22×C4×C11C2×D411yescharacteristic
197C22×C4×C11C2×D411yescharacteristic
198C22×C4×C11C2×D411yescharacteristic
199C22×C4×C11C2×Q812yes—
200C22×C4×C11#4112yes—
201C22×C4×C11C2411yescharacteristic
202C2×C8×C11—21no—
203C2×C8×C11—21no—
204C2×C8×C11—21no—
205C2×C8×C11—21no—
206C2×C8×C11—21no—
207C2×C8×C11—21no—
208C2×C8×C11—21no—
209C2×C8×C11—21no—
210C2×C8×C11—21no—
211C2×C8×C11—21no—
212C2×C8×C11—21no—
213C2×C8×C11—21no—
214C11×C4⋊C4—24no—
215C11×C4⋊C4—24no—
216C11×C4⋊C4—21no—
217C11×C4⋊C4—21no—
218C11×C4⋊C4—21no—
219C11×C4⋊C4—21no—
220C11×C4⋊C4—21no—
221C11×C4⋊C4—21no—
222C11×C4⋊C4—21no—
223C11×C4⋊C4—21no—
224C11×C4⋊C4—21no—
225C11×C4⋊C4—21no—
226C11×C4⋊C4—42no—
227C11×C4⋊C4—42no—
228C11×C4⋊C4—42no—
229C11×C4⋊C4—42no—
230C11×C4⋊C4C2×D412yes—
231C11×C4⋊C4C2×D412yes—
232C11×C22⋊C4—24no—
233C11×C22⋊C4—24no—
234C11×C22⋊C4—24no—
235C11×C22⋊C4—42no—
236C11×C22⋊C4—42no—
237C42×C11—24no—
238C42×C11—24no—
239C42×C11—22no—
240C42×C11—24no—
241C42×C11—22no—
242C42×C11—21no—
243C42×C11—21no—
244C42×C11C2×D412yes—
245C42×C11C2×D412yes—
246C2×C4×#41C2×C1111yescharacteristic
247C2×#479C2×C1111yescharacteristic, complemented
248C2×#478C2×C1111yescharacteristic, complemented
249#2851C2×C1111yescharacteristic, complemented
250#1865C2×C1111yescharacteristic, complemented
251#1864C2×C1111yescharacteristic, complemented
252#1863C2×C1111yescharacteristic, complemented
253#1862C2×C1111yescharacteristic, complemented
254#1854C2×C1111yescharacteristic, complemented
255#1854C2×C1111yescharacteristic, complemented
256#1805C2×C1111yescharacteristic, complemented
257#1804C2×C1111yescharacteristic, complemented
258#1797C2×C1111yescharacteristic, complemented
259#1788C2×C1111yescharacteristic
260#1788C2×C1111yescharacteristic
261C23×C11—21no—
262C23×C11—22no—
263C23×C11—22no—
264C23×C11—21no—
265C23×C11—22no—
266C23×C11—21no—
267C23×C11—21no—
268C23×C11—21no—
269C23×C11—21no—
270C23×C11—41no—
271C23×C11—41no—
272C23×C11—41no—
273C23×C11—41no—
274C23×C11C22⋊Q812yes—
275C23×C11C22×D411yescharacteristic
276Q8×C11—22no—
277Q8×C11—22no—
278Q8×C11—22no—
279Q8×C11C22⋊Q814yes—
280D4×C11—216no—
281D4×C11—22no—
282D4×C11—22no—
283D4×C11—22no—
284D4×C11C22⋊Q814yes—
285C2×C4×C11—216no—
286C2×C4×C11—21no—
287C2×C4×C11—21no—
288C2×C4×C11—22no—
289C2×C4×C11—22no—
290C2×C4×C11—21no—
291C2×C4×C11—22no—
292C2×C4×C11—21no—
293C2×C4×C11—21no—
294C2×C4×C11—21no—
295C2×C4×C11—21no—
296C2×C4×C11—21no—
297C2×C4×C11—22no—
298C2×C4×C11—22no—
299C2×C4×C11—22no—
300C2×C4×C11—22no—
301C2×C4×C11—21no—
302C2×C4×C11—22no—
303C2×C4×C11—22no—
304C2×C4×C11—21no—
305C2×C4×C11—21no—
306C2×C4×C11—44no—
307C2×C4×C11—48no—
308C2×C4×C11—44no—
309C2×C4×C11—48no—
310C2×C4×C11—41no—
311C2×C4×C11—41no—
312C2×C4×C11—41no—
313C2×C4×C11—41no—
314C2×C4×C11—41no—
315C2×C4×C11—41no—
316C2×C4×C11—41no—
317C2×C4×C11—41no—
318C2×C4×C11—41no—
319C2×C4×C11—41no—
320C2×C4×C11—41no—
321C2×C4×C11—41no—
322C2×C4×C11—41no—
323C2×C4×C11—41no—
324C2×C4×C11—41no—
325C2×C4×C11—41no—
326C2×C4×C11#12012yes—
327C2×C4×C11#12012yes—
328C2×C4×C11C22⋊Q812yes—
329C2×C4×C11#13512yes—
330C2×C4×C11C22×D411yescharacteristic
331C2×C4×C11C22×D411yescharacteristic
332C2×C4×C11C22×Q811yescharacteristic
333C2×C4×C11C2×#4111yescharacteristic
334C2×C4×C11C2×#4111yescharacteristic
335C2×C4×C11C2×#4111yescharacteristic
336C8×C11—41no—
337C8×C11—41no—
338C8×C11—41no—
339C8×C11—41no—
340C22×#41C22×C1111yescharacteristic
341C2×#125C22×C1111yescharacteristic
342C4×#41—24no—
343C4×#41—24no—
344C2×C4×Q8C22×C1111yescharacteristic
345C2×C4×Q8C22×C1111yescharacteristic
346C2×C4×D4—21no—
347C2×C4×D4—21no—
348C2×C4×D4C22×C1111yescharacteristic
349C2×C4×D4C22×C1111yescharacteristic
350C2×#117—21no—
351C2×#117C22×C1111yescharacteristic
352C22×C42—21no—
353C22×C42C22×C1111yescharacteristic
354#479—24no—
355#478—24no—
356C2×#107C22×C1111yescharacteristic
357C2×#107C22×C1111yescharacteristic
358C2×#106C22×C1111yescharacteristic
359C2×#106C22×C1111yescharacteristic
360C2×C4⋊C8C22×C1111yescharacteristic
361C2×C4⋊C8C22×C1111yescharacteristic
362C2×#103C22×C1111yescharacteristic
363C2×#103C22×C1111yescharacteristic
364C2×#103C22×C1111yescharacteristic
365C2×#103C22×C1111yescharacteristic
366C2×#102C22×C1111yescharacteristic
367C2×#102C22×C1111yescharacteristic
368C2×#102C22×C1111yescharacteristic
369C2×#102C22×C1111yescharacteristic
370C2×C22⋊C8C22×C1111yescharacteristic
371C2×C22⋊C8C22×C1111yescharacteristic
372#389C22×C1111yescharacteristic
373#389C22×C1111yescharacteristic
374#387—21no—
375#387—21no—
376#385—21no—
377#385—21no—
378#382C22×C1111yescharacteristic
379#380C22×C1111yescharacteristic
380#380C22×C1111yescharacteristic
381#340C22×C1111yescharacteristic
382#340C22×C1111yescharacteristic
383#340C22×C1111yescharacteristic
384#340C22×C1111yescharacteristic
385#336C22×C1111yescharacteristic
386#336C22×C1111yescharacteristic
387C22×C11—22no—
388C22×C11—22no—
389C22×C11—22no—
390C22×C11—24no—
391C22×C11—42no—
392C22×C11—42no—
393C22×C11—41no—
394C22×C11—42no—
395C22×C11—41no—
396C22×C11—42no—
397C22×C11—41no—
398C22×C11—42no—
399C22×C11—41no—
400C22×C11—42no—
401C22×C11C2×#12011yescharacteristic
402C22×C11C2×C22⋊Q811yescharacteristic
403C22×C11#52511yescharacteristic
404C22×C11C2×#13511yescharacteristic
405C22×C11#57511yescharacteristic
406C22×C11#57511yescharacteristic
407C22×C11#57511yescharacteristic
408C4×C11—22no—
409C4×C11—24no—
410C4×C11—22no—
411C4×C11—22no—
412C4×C11—22no—
413C4×C11—42no—
414C4×C11—41no—
415C4×C11—42no—
416C4×C11—81no—
417C4×C11—81no—
418C4×C11—81no—
419C4×C11—81no—
420C4×C11C2×C22⋊Q811yescharacteristic
421C4×C11C2×C22⋊Q811yescharacteristic
422C4×C11#52511yescharacteristic
423C4×C11#52511yescharacteristic
424C2×#41—22no—
425C2×#41—22no—
426C2×#41—22no—
427C2×#41—22no—
428C2×#41—22no—
429C2×#41Q8×C1114yes—
430C22×Q8C23×C1111yescharacteristic
431C22×D4—21no—
432C22×D4C23×C1111yescharacteristic
433C23×C4—21no—
434C23×C4—21no—
435C23×C4—21no—
436C23×C4D4×C1111yescharacteristic
437C23×C4D4×C1111yescharacteristic
438C23×C4C23×C1111yescharacteristic
439C22×C8C23×C1111yescharacteristic
440C22×C8C23×C1111yescharacteristic
441C22×C8C23×C1111yescharacteristic
442C22×C8C23×C1111yescharacteristic
443#125—22no—
444#125—22no—
445C4×Q8—22no—
446C4×Q8—22no—
447C4×Q8—22no—
448C4×Q8D4×C1114yes—
449C4×D4—28no—
450C4×D4—28no—
451C4×D4—22no—
452C4×D4—22no—
453C4×D4—22no—
454C4×D4D4×C1114yes—
455#117—28no—
456#117—22no—
457#117—22no—
458C2×C4⋊C4—21no—
459C2×C4⋊C4—21no—
460C2×C4⋊C4—21no—
461C2×C4⋊C4—21no—
462C2×C4⋊C4—21no—
463C2×C4⋊C4—21no—
464C2×C4⋊C4C23×C1111yescharacteristic
465C2×C4⋊C4C23×C1111yescharacteristic
466C2×C4⋊C4C23×C1111yescharacteristic
467C2×C4⋊C4C23×C1111yescharacteristic
468C2×C4⋊C4C23×C1111yescharacteristic
469C2×C4⋊C4C23×C1111yescharacteristic
470C2×C22⋊C4—21no—
471C2×C22⋊C4—21no—
472C2×C22⋊C4—21no—
473C2×C22⋊C4—21no—
474C2×C22⋊C4—21no—
475C2×C42—28no—
476C2×C42—21no—
477C2×C42—21no—
478C2×C42—21no—
479C2×C42—22no—
480C2×C42—22no—
481C2×C42D4×C1111yescharacteristic
482C2×C42D4×C1111yescharacteristic
483C2×C42C23×C1111yescharacteristic
484C2×C42C23×C1111yescharacteristic
485#107—22no—
486#107—22no—
487#106—22no—
488#106—22no—
489C4⋊C8—22no—
490C4⋊C8—22no—
491#103—22no—
492#103—22no—
493#103—22no—
494#103—22no—
495#102—22no—
496#102—22no—
497#102—22no—
498#102—22no—
499C22⋊C8—22no—
500C22⋊C8—22no—
501#95—21no—
502#95—21no—
503#95—21no—
504#95—21no—
505#95—21no—
506#95—21no—
507C2×C11—42no—
508C2×C11—44no—
509C2×C11#284811yescharacteristic
510C2×C11#300211yescharacteristic
511C2×C11#300511yescharacteristic
512C2×C11#307611yescharacteristic
513C2×C11#308011yescharacteristic
514C2×C11#310211yescharacteristic
515C2×C11#311111yescharacteristic
516C24—21no—
517C24C2×D4×C1111yescharacteristic
518#41—28no—
519#41—28no—
520#41—28no—
521#41—28no—
522C2×Q8—21no—
523C2×Q8—21no—
524C2×Q8—21no—
525C2×Q8C2×D4×C1112yes—
526C2×Q8C2×Q8×C1112yes—
527C2×Q8C11×#4112yes—
528C2×D4—24no—
529C2×D4—24no—
530C2×D4—24no—
531C2×D4—21no—
532C2×D4—21no—
533C2×D4—21no—
534C2×D4C2×D4×C1112yes—
535C2×D4C2×Q8×C1112yes—
536C2×D4C11×#4112yes—
537C22×C4—24no—
538C22×C4—24no—
539C22×C4—21no—
540C22×C4—24no—
541C22×C4—21no—
542C22×C4—21no—
543C22×C4—21no—
544C22×C4—21no—
545C22×C4—24no—
546C22×C4—21no—
547C22×C4—21no—
548C22×C4—22no—
549C22×C4—22no—
550C22×C4—24no—
551C22×C4—22no—
552C22×C4—21no—
553C22×C4—21no—
554C22×C4—21no—
555C22×C4—21no—
556C22×C4—41no—
557C22×C4—41no—
558C22×C4—41no—
559C22×C4—42no—
560C22×C4—42no—
561C22×C4—42no—
562C22×C4—42no—
563C22×C4C2×D4×C1111yescharacteristic
564C22×C4C2×D4×C1111yescharacteristic
565C22×C4C2×D4×C1111yescharacteristic
566C22×C4C2×D4×C1111yescharacteristic
567C22×C4C2×D4×C1111yescharacteristic
568C22×C4C2×Q8×C1112yes—
569C22×C4C11×#4112yes—
570C22×C4C24×C1111yescharacteristic
571C2×C8—21no—
572C2×C8—21no—
573C2×C8—21no—
574C2×C8—21no—
575C2×C8—21no—
576C2×C8—21no—
577C2×C8—21no—
578C2×C8—21no—
579C2×C8—21no—
580C2×C8—21no—
581C2×C8—21no—
582C2×C8—21no—
583C4⋊C4—24no—
584C4⋊C4—24no—
585C4⋊C4—21no—
586C4⋊C4—21no—
587C4⋊C4—21no—
588C4⋊C4—21no—
589C4⋊C4—21no—
590C4⋊C4—21no—
591C4⋊C4—21no—
592C4⋊C4—21no—
593C4⋊C4—21no—
594C4⋊C4—21no—
595C4⋊C4—42no—
596C4⋊C4—42no—
597C4⋊C4—42no—
598C4⋊C4—42no—
599C4⋊C4C2×D4×C1112yes—
600C4⋊C4C2×D4×C1112yes—
601C22⋊C4—24no—
602C22⋊C4—24no—
603C22⋊C4—24no—
604C22⋊C4—42no—
605C22⋊C4—42no—
606C42—24no—
607C42—24no—
608C42—22no—
609C42—24no—
610C42—22no—
611C42—21no—
612C42—21no—
613C42C2×D4×C1112yes—
614C42C2×D4×C1112yes—
615C11#3296111yescharacteristic, direct product factor, Sylow
616C23—21no—
617C23—22no—
618C23—22no—
619C23—21no—
620C23—22no—
621C23—21no—
622C23—21no—
623C23—21no—
624C23—21no—
625C23—41no—
626C23—41no—
627C23—41no—
628C23—41no—
629C23C11×C22⋊Q812yes—
630C23C22×D4×C1111yescharacteristic
631Q8—22no—
632Q8—22no—
633Q8—22no—
634Q8C11×C22⋊Q814yes—
635D4—216no—
636D4—22no—
637D4—22no—
638D4—22no—
639D4C11×C22⋊Q814yes—
640C2×C4—216no—
641C2×C4—21no—
642C2×C4—21no—
643C2×C4—22no—
644C2×C4—22no—
645C2×C4—21no—
646C2×C4—22no—
647C2×C4—21no—
648C2×C4—21no—
649C2×C4—21no—
650C2×C4—21no—
651C2×C4—21no—
652C2×C4—22no—
653C2×C4—22no—
654C2×C4—22no—
655C2×C4—22no—
656C2×C4—21no—
657C2×C4—22no—
658C2×C4—22no—
659C2×C4—21no—
660C2×C4—21no—
661C2×C4—44no—
662C2×C4—48no—
663C2×C4—44no—
664C2×C4—48no—
665C2×C4—41no—
666C2×C4—41no—
667C2×C4—41no—
668C2×C4—41no—
669C2×C4—41no—
670C2×C4—41no—
671C2×C4—41no—
672C2×C4—41no—
673C2×C4—41no—
674C2×C4—41no—
675C2×C4—41no—
676C2×C4—41no—
677C2×C4—41no—
678C2×C4—41no—
679C2×C4—41no—
680C2×C4—41no—
681C2×C4C11×#12012yes—
682C2×C4C11×#12012yes—
683C2×C4C11×C22⋊Q812yes—
684C2×C4C11×#13512yes—
685C2×C4C22×D4×C1111yescharacteristic
686C2×C4C22×D4×C1111yescharacteristic
687C2×C4C22×Q8×C1111yescharacteristic
688C2×C4C2×C11×#4111yescharacteristic
689C2×C4C2×C11×#4111yescharacteristic
690C2×C4C2×C11×#4111yescharacteristic
691C8—41no—
692C8—41no—
693C8—41no—
694C8—41no—
695C22—22no—
696C22—22no—
697C22—22no—
698C22—24no—
699C22—41no—
700C22—42no—
701C22—41no—
702C22—42no—
703C22—42no—
704C22—42no—
705C22—41no—
706C22—42no—
707C22—41no—
708C22—42no—
709C22C2×C11×#12011yescharacteristic
710C22C2×C11×C22⋊Q811yescharacteristic
711C22C11×#52511yescharacteristic
712C22C2×C11×#13511yescharacteristic
713C22C11×#57511yescharacteristic
714C22C11×#57511yescharacteristic
715C22C11×#57511yescharacteristic
716C4—22no—
717C4—22no—
718C4—22no—
719C4—22no—
720C4—24no—
721C4—42no—
722C4—41no—
723C4—42no—
724C4—81no—
725C4—81no—
726C4—81no—
727C4—81no—
728C4C2×C11×C22⋊Q811yescharacteristic
729C4C2×C11×C22⋊Q811yescharacteristic
730C4C11×#52511yescharacteristic
731C4C11×#52511yescharacteristic
732C2—42no—
733C2—44no—
734C2C11×#284811yescharacteristic
735C2C11×#300211yescharacteristic
736C2C11×#300511yescharacteristic
737C2C11×#307611yescharacteristic
738C2C11×#308011yescharacteristic
739C2C11×#310211yescharacteristic
740C2C11×#311111yescharacteristic
subgroupG/H
center, socleC23×C11C22×D4
commutator, Frattini, cosocleC22×C4C24×C11
prime radicalC22×C11×#41C22
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C23×C11 ◁ C22×C42×C11 ◁ G

Complements

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

NH ≅ G/Ntype
2. C2×C11×#479C2semidirect
3. C2×C11×#478C2semidirect
4. C11×#2851C2semidirect
5. C11×#1865C2semidirect
6. C11×#1864C2semidirect
7. C11×#1863C2semidirect
8. C11×#1862C2semidirect
9. C11×#1854C2semidirect
10. C11×#1854C2semidirect
11. C11×#1805C2semidirect
12. C11×#1804C2semidirect
13. C11×#1797C2semidirect
146. #32961C11direct (N × H)
247. C2×#479C2×C11semidirect
248. C2×#478C2×C11semidirect
249. #2851C2×C11semidirect
250. #1865C2×C11semidirect
251. #1864C2×C11semidirect
252. #1863C2×C11semidirect
253. #1862C2×C11semidirect
254. #1854C2×C11semidirect
255. #1854C2×C11semidirect
256. #1805C2×C11semidirect
257. #1804C2×C11semidirect
258. #1797C2×C11semidirect
615. C11#32961direct (N × H)

Maximal subgroups

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

subgroupindex
C2×C4×C11×#412
C2×C11×#4792
C2×C11×#4782
C11×#28512
C11×#18652
C11×#18642
C11×#18632
C11×#18622
C11×#18542
C11×#18052
C11×#18042
C11×#17972
C11×#17882
#3296111