Finite Group Databasebeta

← C11×#18911 #14596104

Subgroups — C11×#18911 #14596104

Order 2816.

898 conjugacy classes of subgroups.

The subgroup lattice has 736 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C11×#3518C211yesmaximal, characteristic, complemented
2C11×#3247C211yesmaximal, characteristic, complemented
3C11×#3210C211yesmaximal, characteristic, complemented
4C11×#3106C211yesmaximal, characteristic, complemented
5C11×#1638C211yesmaximal, characteristic, complemented
6C11×#1637C211yesmaximal, characteristic, complemented
7C11×#1634C211yesmaximal, characteristic, complemented
8C11×#1633C211yesmaximal, characteristic, complemented
9C11×#1628C211yesmaximal, characteristic, complemented
10C11×#1627C211yesmaximal, characteristic, complemented
11C11×#1624C211yesmaximal, characteristic, complemented
12C11×#1623C211yesmaximal, characteristic, complemented
13C11×#1542C211yesmaximal, characteristic, complemented
14C11×#1482C211yesmaximal, characteristic, complemented
15C11×#1477C211yesmaximal, characteristic, complemented
16Q82×C11C2211yescharacteristic
17C11×#556—21no—
18C11×#556—22no—
19C11×#556—21no—
20C11×#556C2211yescharacteristic
21C11×#555—21no—
22C11×#555C2211yescharacteristic
23D4×Q8×C11C2211yescharacteristic
24C11×#548—21no—
25C11×#542—22no—
26C11×#542—21no—
27C11×#533—21no—
28C11×#533C2211yescharacteristic
29C11×#532C2211yescharacteristic
30C11×#529—21no—
31C11×#529C2211yescharacteristic
32C11×#519—21no—
33C4×C11×#41C2211yescharacteristic
34C11×#494C2211yescharacteristic
35C11×#492C2211yescharacteristic
36C11×#487C2211yescharacteristic
37C11×#486C2211yescharacteristic
38C11×#482—21no—
39C11×#478—21no—
40C11×#477C2211yescharacteristic
41C11×#477C2211yescharacteristic
42C11×#476C2211yescharacteristic
43C11×#476C2211yescharacteristic
44C11×#466—21no—
45C11×#465—21no—
46C11×#464—22no—
47C11×#463—21no—
48C11×#460C2211yescharacteristic
49C11×#460C2211yescharacteristic
50C11×#459C2211yescharacteristic
51C11×#459C2211yescharacteristic
52C11×#452—22no—
53C11×#449—21no—
54C4×C11×SD16—21no—
55C4×C11×D8—21no—
56C11×#431C2211yescharacteristic
57C11×#431C2211yescharacteristic
58C2×C11×C4⋊C8C2211yescharacteristic
59C11×#333C2211yescharacteristic
60C11×#333C2211yescharacteristic
61C11×#332C2211yescharacteristic
62C11×#332C2211yescharacteristic
63C11×Q8⋊C8C2211yescharacteristic
64C11×Q8⋊C8C2211yescharacteristic
65C11×Q8⋊C8C2211yescharacteristic
66C11×Q8⋊C8C2211yescharacteristic
67C11×D4⋊C8C2211yescharacteristic
68C11×D4⋊C8C2211yescharacteristic
69C11×D4⋊C8C2211yescharacteristic
70C11×D4⋊C8C2211yescharacteristic
71C2×C11×#41—21no—
72C2×C11×#41D411yescharacteristic
73C22×Q8×C11—21no—
74C2×C11×Q16—22no—
75C2×C11×SD16—21no—
76C2×C11×SD16—22no—
77C2×C11×SD16—21no—
78C2×C11×D8—21no—
79C2×C11×D8—21no—
80C22×C8×C11—21no—
81C11×C4⋊Q8—22no—
82C11×C4⋊Q8—21no—
83C11×C4⋊Q8—21no—
84C11×C4⋊Q8—21no—
85C11×C4⋊Q8C2311yescharacteristic
86C11×C4⋊Q8C2311yescharacteristic
87C11×C4⋊Q8C2311yescharacteristic
88C11×#127C2311yescharacteristic
89C11×#126—22no—
90C11×#126—22no—
91C11×#126—22no—
92C11×#126—22no—
93C11×#126—21no—
94C11×#125—21no—
95C11×#125D411yescharacteristic
96C11×#124—22no—
97C11×#124—22no—
98C11×#124—22no—
99C11×#124—22no—
100C11×#124—21no—
101C11×#124—21no—
102C11×#124D411yescharacteristic
103C11×#123—22no—
104C11×#123—21no—
105C11×C22⋊Q8—22no—
106C11×C22⋊Q8—22no—
107C11×C22⋊Q8—21no—
108C11×C22⋊Q8—21no—
109C11×C22⋊Q8—21no—
110C11×C22⋊Q8—22no—
111C11×C22⋊Q8D411yescharacteristic
112C11×C22⋊Q8D412yes—
113C11×#121—22no—
114C11×#121—21no—
115C11×#121—21no—
116C11×#121—21no—
117C11×#121—21no—
118C11×#121D411yescharacteristic
119C4×Q8×C11—22no—
120C4×Q8×C11—22no—
121C4×Q8×C11—22no—
122C4×Q8×C11—21no—
123C4×Q8×C11—21no—
124C4×Q8×C11—21no—
125C4×Q8×C11—21no—
126C4×Q8×C11D411yescharacteristic
127C4×Q8×C11D412yes—
128C4×Q8×C11C2311yescharacteristic
129C4×Q8×C11C2311yescharacteristic
130C4×D4×C11—22no—
131C4×D4×C11—21no—
132C4×D4×C11—21no—
133C4×D4×C11—21no—
134C4×D4×C11—21no—
135C4×D4×C11—21no—
136C4×D4×C11—21no—
137C4×D4×C11D411yescharacteristic
138C4×D4×C11C2311yescharacteristic
139C4×D4×C11C2311yescharacteristic
140C11×#117—22no—
141C11×#117—22no—
142C11×#117—21no—
143C11×#117—21no—
144C11×#117—21no—
145C11×#117—21no—
146C11×#117—21no—
147C11×#117—21no—
148C11×#117D411yescharacteristic
149C2×C42×C11—21no—
150C2×C42×C11C2311yescharacteristic
151C11×#107—21no—
152C11×#107—21no—
153C11×#106—21no—
154C11×#106—21no—
155C11×C4⋊C8—21no—
156C11×C4⋊C8—21no—
157C11×C4⋊C8C2311yescharacteristic
158C11×C4⋊C8C2311yescharacteristic
159C11×C4⋊C8C2311yescharacteristic
160C11×C4⋊C8C2311yescharacteristic
161C11×#103—21no—
162C11×#103—21no—
163C11×#103—22no—
164C11×#102—21no—
165C11×#102—21no—
166C11×#102—21no—
167C11×#102—21no—
168C11×#102—22no—
169C11×#102—21no—
170C11×#102—21no—
171C11×C22⋊C8—21no—
172C11×C22⋊C8—21no—
173C4×C8×C11—21no—
174C4×C8×C11C2311yescharacteristic
175C4×C8×C11C2311yescharacteristic
176#18911C1111yesmaximal, characteristic, direct product factor, Sylow
177C11×#41—22no—
178C11×#41—41no—
179C11×#41—82no—
180C2×Q8×C11—22no—
181C2×Q8×C11—22no—
182C2×Q8×C11—21no—
183C2×Q8×C11—21no—
184C2×Q8×C11—42no—
185C2×Q8×C11—42no—
186C2×Q8×C11C2×D411yescharacteristic
187C2×Q8×C11C2×D411yescharacteristic
188C2×Q8×C11C2×D412yes—
189C2×D4×C11—21no—
190C2×D4×C11—22no—
191C2×D4×C11—21no—
192C2×D4×C11—21no—
193C2×D4×C11—21no—
194C2×D4×C11—21no—
195C2×D4×C11—41no—
196C2×D4×C11C2×D411yescharacteristic
197C2×D4×C11C2×D411yescharacteristic
198C22×C4×C11—22no—
199C22×C4×C11—21no—
200C22×C4×C11—21no—
201C22×C4×C11—21no—
202C22×C4×C11—21no—
203C22×C4×C11—41no—
204C22×C4×C11C2×D411yescharacteristic
205C22×C4×C11C2×D411yescharacteristic
206C22×C4×C11C2×D411yescharacteristic
207C11×Q16—82no—
208C11×SD16—42no—
209C11×SD16—81no—
210C11×SD16—82no—
211C11×D8—42no—
212C11×D8—81no—
213C2×C8×C11—21no—
214C2×C8×C11—21no—
215C2×C8×C11—21no—
216C2×C8×C11—21no—
217C2×C8×C11—21no—
218C2×C8×C11—21no—
219C2×C8×C11—81no—
220C11×C4⋊C4—22no—
221C11×C4⋊C4—22no—
222C11×C4⋊C4—22no—
223C11×C4⋊C4—22no—
224C11×C4⋊C4—21no—
225C11×C4⋊C4—21no—
226C11×C4⋊C4—22no—
227C11×C4⋊C4—21no—
228C11×C4⋊C4—21no—
229C11×C4⋊C4—22no—
230C11×C4⋊C4—21no—
231C11×C4⋊C4—21no—
232C11×C4⋊C4—21no—
233C11×C4⋊C4—21no—
234C11×C4⋊C4—21no—
235C11×C4⋊C4—21no—
236C11×C4⋊C4—21no—
237C11×C4⋊C4C2×D412yes—
238C11×C4⋊C4C2×D411yescharacteristic
239C11×C4⋊C4C2×D411yescharacteristic
240C11×C4⋊C4C2×D411yescharacteristic
241C11×C4⋊C4C2×D411yescharacteristic
242C11×C22⋊C4—22no—
243C11×C22⋊C4—22no—
244C11×C22⋊C4—22no—
245C11×C22⋊C4—22no—
246C11×C22⋊C4—22no—
247C11×C22⋊C4—22no—
248C11×C22⋊C4—21no—
249C11×C22⋊C4—21no—
250C11×C22⋊C4—21no—
251C11×C22⋊C4—21no—
252C11×C22⋊C4—21no—
253C11×C22⋊C4—21no—
254C11×C22⋊C4—21no—
255C11×C22⋊C4—21no—
256C11×C22⋊C4—41no—
257C11×C22⋊C4—41no—
258C42×C11—22no—
259C42×C11—22no—
260C42×C11—22no—
261C42×C11—21no—
262C42×C11—21no—
263C42×C11—22no—
264C42×C11—21no—
265C42×C11—21no—
266C42×C11C2×D411yescharacteristic
267C42×C11C2×D411yescharacteristic
268C42×C11C2×D411yescharacteristic
269C42×C11C2411yescharacteristic
270#3518C2×C1111yescharacteristic, complemented
271#3247C2×C1111yescharacteristic, complemented
272#3210C2×C1111yescharacteristic, complemented
273#3106C2×C1111yescharacteristic, complemented
274#1638C2×C1111yescharacteristic, complemented
275#1637C2×C1111yescharacteristic, complemented
276#1634C2×C1111yescharacteristic, complemented
277#1633C2×C1111yescharacteristic, complemented
278#1628C2×C1111yescharacteristic, complemented
279#1627C2×C1111yescharacteristic, complemented
280#1624C2×C1111yescharacteristic, complemented
281#1623C2×C1111yescharacteristic, complemented
282#1542C2×C1111yescharacteristic, complemented
283#1482C2×C1111yescharacteristic, complemented
284#1477C2×C1111yescharacteristic, complemented
285C23×C11—21no—
286C23×C11—21no—
287C23×C11—41no—
288C23×C11#12011yescharacteristic
289Q8×C11—21no—
290Q8×C11—21no—
291Q8×C11—21no—
292Q8×C11—42no—
293Q8×C11—44no—
294Q8×C11—42no—
295Q8×C11—41no—
296Q8×C11—41no—
297Q8×C11—82no—
298Q8×C11#13512yes—
299D4×C11—21no—
300D4×C11—21no—
301D4×C11—21no—
302D4×C11—21no—
303D4×C11—42no—
304D4×C11—42no—
305D4×C11—41no—
306D4×C11—41no—
307D4×C11—41no—
308D4×C11—41no—
309D4×C11—81no—
310D4×C11—82no—
311D4×C11—82no—
312C2×C4×C11—21no—
313C2×C4×C11—21no—
314C2×C4×C11—21no—
315C2×C4×C11—21no—
316C2×C4×C11—21no—
317C2×C4×C11—21no—
318C2×C4×C11—21no—
319C2×C4×C11—22no—
320C2×C4×C11—21no—
321C2×C4×C11—21no—
322C2×C4×C11—22no—
323C2×C4×C11—21no—
324C2×C4×C11—41no—
325C2×C4×C11—42no—
326C2×C4×C11—44no—
327C2×C4×C11—41no—
328C2×C4×C11—41no—
329C2×C4×C11—41no—
330C2×C4×C11—41no—
331C2×C4×C11—41no—
332C2×C4×C11—81no—
333C2×C4×C11—82no—
334C2×C4×C11#12011yescharacteristic
335C2×C4×C11#12011yescharacteristic
336C2×C4×C11#12011yescharacteristic
337C2×C4×C11C22×D411yescharacteristic
338C2×C4×C11C22×D411yescharacteristic
339C2×C4×C11C22×D411yescharacteristic
340C8×C11—41no—
341C8×C11—41no—
342C8×C11—41no—
343C8×C11—41no—
344C8×C11—41no—
345C8×C11—41no—
346Q82C22×C1111yescharacteristic
347#556—21no—
348#556—22no—
349#556—21no—
350#556C22×C1111yescharacteristic
351#555—21no—
352#555C22×C1111yescharacteristic
353D4×Q8C22×C1111yescharacteristic
354#548—21no—
355#542—22no—
356#542—21no—
357#533—21no—
358#533C22×C1111yescharacteristic
359#532C22×C1111yescharacteristic
360#529—21no—
361#529C22×C1111yescharacteristic
362#519—21no—
363C4×#41C22×C1111yescharacteristic
364#494C22×C1111yescharacteristic
365#492C22×C1111yescharacteristic
366#487C22×C1111yescharacteristic
367#486C22×C1111yescharacteristic
368#482—21no—
369#478—21no—
370#477C22×C1111yescharacteristic
371#477C22×C1111yescharacteristic
372#476C22×C1111yescharacteristic
373#476C22×C1111yescharacteristic
374#466—21no—
375#465—21no—
376#464—22no—
377#463—21no—
378#460C22×C1111yescharacteristic
379#460C22×C1111yescharacteristic
380#459C22×C1111yescharacteristic
381#459C22×C1111yescharacteristic
382#452—22no—
383#449—21no—
384C4×SD16—21no—
385C4×D8—21no—
386#431C22×C1111yescharacteristic
387#431C22×C1111yescharacteristic
388C2×C4⋊C8C22×C1111yescharacteristic
389#333C22×C1111yescharacteristic
390#333C22×C1111yescharacteristic
391#332C22×C1111yescharacteristic
392#332C22×C1111yescharacteristic
393Q8⋊C8C22×C1111yescharacteristic
394Q8⋊C8C22×C1111yescharacteristic
395Q8⋊C8C22×C1111yescharacteristic
396Q8⋊C8C22×C1111yescharacteristic
397D4⋊C8C22×C1111yescharacteristic
398D4⋊C8C22×C1111yescharacteristic
399D4⋊C8C22×C1111yescharacteristic
400D4⋊C8C22×C1111yescharacteristic
401C22×C11—21no—
402C22×C11—21no—
403C22×C11—21no—
404C22×C11—41no—
405C22×C11—41no—
406C22×C11—41no—
407C22×C11—41no—
408C22×C11—41no—
409C22×C11—41no—
410C22×C11—81no—
411C22×C11—81no—
412C22×C11—81no—
413C22×C11C2×#12011yescharacteristic
414C4×C11—21no—
415C4×C11—22no—
416C4×C11—21no—
417C4×C11—21no—
418C4×C11—21no—
419C4×C11—42no—
420C4×C11—41no—
421C4×C11—41no—
422C4×C11—41no—
423C4×C11—41no—
424C4×C11—42no—
425C4×C11—41no—
426C4×C11—81no—
427C4×C11C2×#13511yescharacteristic
428C4×C11#57511yescharacteristic
429C4×C11#57711yescharacteristic
430C4×C11#57811yescharacteristic
431C2×#41—21no—
432C2×#41D4×C1111yescharacteristic
433C22×Q8—21no—
434C2×Q16—22no—
435C2×SD16—21no—
436C2×SD16—22no—
437C2×SD16—21no—
438C2×D8—21no—
439C2×D8—21no—
440C22×C8—21no—
441C4⋊Q8—22no—
442C4⋊Q8—21no—
443C4⋊Q8—21no—
444C4⋊Q8—21no—
445C4⋊Q8C23×C1111yescharacteristic
446C4⋊Q8C23×C1111yescharacteristic
447C4⋊Q8C23×C1111yescharacteristic
448#127C23×C1111yescharacteristic
449#126—22no—
450#126—22no—
451#126—22no—
452#126—22no—
453#126—21no—
454#125—21no—
455#125D4×C1111yescharacteristic
456#124—22no—
457#124—22no—
458#124—22no—
459#124—22no—
460#124—21no—
461#124—21no—
462#124D4×C1111yescharacteristic
463#123—22no—
464#123—21no—
465C22⋊Q8—22no—
466C22⋊Q8—22no—
467C22⋊Q8—21no—
468C22⋊Q8—21no—
469C22⋊Q8—21no—
470C22⋊Q8—22no—
471C22⋊Q8D4×C1111yescharacteristic
472C22⋊Q8D4×C1112yes—
473#121—22no—
474#121—21no—
475#121—21no—
476#121—21no—
477#121—21no—
478#121D4×C1111yescharacteristic
479C4×Q8—22no—
480C4×Q8—22no—
481C4×Q8—22no—
482C4×Q8—21no—
483C4×Q8—21no—
484C4×Q8—21no—
485C4×Q8—21no—
486C4×Q8D4×C1111yescharacteristic
487C4×Q8D4×C1112yes—
488C4×Q8C23×C1111yescharacteristic
489C4×Q8C23×C1111yescharacteristic
490C4×D4—22no—
491C4×D4—21no—
492C4×D4—21no—
493C4×D4—21no—
494C4×D4—21no—
495C4×D4—21no—
496C4×D4—21no—
497C4×D4D4×C1111yescharacteristic
498C4×D4C23×C1111yescharacteristic
499C4×D4C23×C1111yescharacteristic
500#117—22no—
501#117—22no—
502#117—21no—
503#117—21no—
504#117—21no—
505#117—21no—
506#117—21no—
507#117—21no—
508#117D4×C1111yescharacteristic
509C2×C42—21no—
510C2×C42C23×C1111yescharacteristic
511#107—21no—
512#107—21no—
513#106—21no—
514#106—21no—
515C4⋊C8—21no—
516C4⋊C8—21no—
517C4⋊C8C23×C1111yescharacteristic
518C4⋊C8C23×C1111yescharacteristic
519C4⋊C8C23×C1111yescharacteristic
520C4⋊C8C23×C1111yescharacteristic
521#103—21no—
522#103—21no—
523#103—22no—
524#102—21no—
525#102—21no—
526#102—21no—
527#102—21no—
528#102—22no—
529#102—21no—
530#102—21no—
531C22⋊C8—21no—
532C22⋊C8—21no—
533C4×C8—21no—
534C4×C8C23×C1111yescharacteristic
535C4×C8C23×C1111yescharacteristic
536C2×C11—41no—
537C2×C11—81no—
538C2×C11—81no—
539C2×C11—161no—
540C2×C11#300211yescharacteristic
541C2×C11#301311yescharacteristic
542C2×C11#302111yescharacteristic
543#41—22no—
544#41—41no—
545#41—82no—
546C2×Q8—22no—
547C2×Q8—22no—
548C2×Q8—21no—
549C2×Q8—21no—
550C2×Q8—42no—
551C2×Q8—42no—
552C2×Q8C2×D4×C1111yescharacteristic
553C2×Q8C2×D4×C1111yescharacteristic
554C2×Q8C2×D4×C1112yes—
555C2×D4—21no—
556C2×D4—22no—
557C2×D4—21no—
558C2×D4—21no—
559C2×D4—21no—
560C2×D4—21no—
561C2×D4—41no—
562C2×D4C2×D4×C1111yescharacteristic
563C2×D4C2×D4×C1111yescharacteristic
564C22×C4—22no—
565C22×C4—21no—
566C22×C4—21no—
567C22×C4—21no—
568C22×C4—21no—
569C22×C4—41no—
570C22×C4C2×D4×C1111yescharacteristic
571C22×C4C2×D4×C1111yescharacteristic
572C22×C4C2×D4×C1111yescharacteristic
573Q16—82no—
574SD16—42no—
575SD16—81no—
576SD16—82no—
577D8—42no—
578D8—81no—
579C2×C8—21no—
580C2×C8—21no—
581C2×C8—21no—
582C2×C8—21no—
583C2×C8—21no—
584C2×C8—21no—
585C2×C8—81no—
586C4⋊C4—22no—
587C4⋊C4—22no—
588C4⋊C4—22no—
589C4⋊C4—22no—
590C4⋊C4—21no—
591C4⋊C4—21no—
592C4⋊C4—22no—
593C4⋊C4—21no—
594C4⋊C4—21no—
595C4⋊C4—22no—
596C4⋊C4—21no—
597C4⋊C4—21no—
598C4⋊C4—21no—
599C4⋊C4—21no—
600C4⋊C4—21no—
601C4⋊C4—21no—
602C4⋊C4—21no—
603C4⋊C4C2×D4×C1112yes—
604C4⋊C4C2×D4×C1111yescharacteristic
605C4⋊C4C2×D4×C1111yescharacteristic
606C4⋊C4C2×D4×C1111yescharacteristic
607C4⋊C4C2×D4×C1111yescharacteristic
608C22⋊C4—22no—
609C22⋊C4—22no—
610C22⋊C4—22no—
611C22⋊C4—22no—
612C22⋊C4—22no—
613C22⋊C4—22no—
614C22⋊C4—21no—
615C22⋊C4—21no—
616C22⋊C4—21no—
617C22⋊C4—21no—
618C22⋊C4—21no—
619C22⋊C4—21no—
620C22⋊C4—21no—
621C22⋊C4—21no—
622C22⋊C4—41no—
623C22⋊C4—41no—
624C42—22no—
625C42—22no—
626C42—22no—
627C42—21no—
628C42—21no—
629C42—22no—
630C42—21no—
631C42—21no—
632C42C2×D4×C1111yescharacteristic
633C42C2×D4×C1111yescharacteristic
634C42C2×D4×C1111yescharacteristic
635C42C24×C1111yescharacteristic
636C11#1891111yescharacteristic, direct product factor, Sylow
637C23—21no—
638C23—21no—
639C23—41no—
640C23C11×#12011yescharacteristic
641Q8—21no—
642Q8—21no—
643Q8—21no—
644Q8—42no—
645Q8—44no—
646Q8—42no—
647Q8—41no—
648Q8—41no—
649Q8—82no—
650Q8C11×#13512yes—
651D4—21no—
652D4—21no—
653D4—21no—
654D4—21no—
655D4—42no—
656D4—42no—
657D4—41no—
658D4—41no—
659D4—41no—
660D4—41no—
661D4—81no—
662D4—82no—
663D4—82no—
664C2×C4—21no—
665C2×C4—21no—
666C2×C4—21no—
667C2×C4—21no—
668C2×C4—21no—
669C2×C4—21no—
670C2×C4—21no—
671C2×C4—22no—
672C2×C4—21no—
673C2×C4—21no—
674C2×C4—22no—
675C2×C4—21no—
676C2×C4—41no—
677C2×C4—42no—
678C2×C4—44no—
679C2×C4—41no—
680C2×C4—41no—
681C2×C4—41no—
682C2×C4—41no—
683C2×C4—41no—
684C2×C4—81no—
685C2×C4—82no—
686C2×C4C11×#12011yescharacteristic
687C2×C4C11×#12011yescharacteristic
688C2×C4C11×#12011yescharacteristic
689C2×C4C22×D4×C1111yescharacteristic
690C2×C4C22×D4×C1111yescharacteristic
691C2×C4C22×D4×C1111yescharacteristic
692C8—41no—
693C8—41no—
694C8—41no—
695C8—41no—
696C8—41no—
697C8—41no—
698C22—21no—
699C22—21no—
700C22—21no—
701C22—41no—
702C22—41no—
703C22—41no—
704C22—41no—
705C22—41no—
706C22—41no—
707C22—81no—
708C22—81no—
709C22—81no—
710C22C2×C11×#12011yescharacteristic
711C4—21no—
712C4—22no—
713C4—21no—
714C4—21no—
715C4—21no—
716C4—42no—
717C4—41no—
718C4—41no—
719C4—41no—
720C4—41no—
721C4—42no—
722C4—41no—
723C4—81no—
724C4C2×C11×#13511yescharacteristic
725C4C11×#57511yescharacteristic
726C4C11×#57711yescharacteristic
727C4C11×#57811yescharacteristic
728C2—41no—
729C2—81no—
730C2—81no—
731C2—161no—
732C2C11×#300211yescharacteristic
733C2C11×#301311yescharacteristic
734C2C11×#302111yescharacteristic
subgroupG/H
center, socleC22×C11C2×#120
commutator, Frattini, cosocleC42C24×C11
LCSG ▷ C42 ▷ C22 ▷ C1
UCSC1 ◁ C22×C11 ◁ C2×C42×C11 ◁ G

Complements

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

NH ≅ G/Ntype
1. C11×#3518C2semidirect
2. C11×#3247C2semidirect
3. C11×#3210C2semidirect
4. C11×#3106C2semidirect
5. C11×#1638C2semidirect
6. C11×#1637C2semidirect
7. C11×#1634C2semidirect
8. C11×#1633C2semidirect
9. C11×#1628C2semidirect
10. C11×#1627C2semidirect
11. C11×#1624C2semidirect
12. C11×#1623C2semidirect
13. C11×#1542C2semidirect
14. C11×#1482C2semidirect
15. C11×#1477C2semidirect
176. #18911C11direct (N × H)
270. #3518C2×C11semidirect
271. #3247C2×C11semidirect
272. #3210C2×C11semidirect
273. #3106C2×C11semidirect
274. #1638C2×C11semidirect
275. #1637C2×C11semidirect
276. #1634C2×C11semidirect
277. #1633C2×C11semidirect
278. #1628C2×C11semidirect
279. #1627C2×C11semidirect
280. #1624C2×C11semidirect
281. #1623C2×C11semidirect
282. #1542C2×C11semidirect
283. #1482C2×C11semidirect
284. #1477C2×C11semidirect
636. C11#18911direct (N × H)

Maximal subgroups

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

subgroupindex
C11×#35182
C11×#32472
C11×#32102
C11×#31062
C11×#16382
C11×#16372
C11×#16342
C11×#16332
C11×#16282
C11×#16272
C11×#16242
C11×#16232
C11×#15422
C11×#14822
C11×#14772
#1891111