Finite Group Databasebeta

← C11×#18192 #14595385

Subgroups — C11×#18192 #14595385

Order 2816.

1334 conjugacy classes of subgroups.

The subgroup lattice has 768 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C11×#3490C211yesmaximal, characteristic, complemented
2C11×#3002C212yesmaximal, complemented
3C11×#2404C211yesmaximal, characteristic, complemented
4C11×#1606C212yesmaximal, complemented
5C11×#1602C211yesmaximal, characteristic, complemented
6C11×#1601C211yesmaximal, characteristic, complemented
7C11×#1600C212yesmaximal, complemented
8C11×#1596C211yesmaximal, characteristic, complemented
9C11×#1595C211yesmaximal, characteristic, complemented
10C11×#1516C212yesmaximal, complemented
11C2×C11×#323C211yesmaximal, characteristic, complemented
12C22×C11×#41C2211yescharacteristic, complemented
13C2×C11×#135—22no—
14C11×#551—22no—
15C11×#551—22no—
16C11×#546—22no—
17C11×#546—22no—
18C11×#543C2211yescharacteristic
19C11×#538—21no—
20C11×#538C2212yes—
21C11×#534C2211yescharacteristic
22C11×#525—21no—
23C11×#525C2212yes—
24C2×C11×#120—21no—
25C2×C11×#120—21no—
26C11×#518—21no—
27C22×C11×C22⋊C4C2211yescharacteristic
28C11×#452—22no—
29C11×#451C2212yescomplemented
30C11×#450C2212yescomplemented
31C11×#449—22no—
32C11×#448C2212yescomplemented
33C11×#447C2212yescomplemented
34C11×#416—22no—
35C2×C11×C22⋊C8C2212yescomplemented
36C11×#393C2211yescharacteristic
37C11×#393C2211yescharacteristic, complemented
38C11×#392C2211yescharacteristic
39C11×#392C2211yescharacteristic, complemented
40C11×#386—21no—
41C11×#386—21no—
42C11×#386—21no—
43C11×#381C2211yescharacteristic, complemented
44C11×#328C2212yescomplemented
45C11×#328C2212yescomplemented
46C11×#327C2212yescomplemented
47C11×#327C2212yescomplemented
48C11×#323C2211yescharacteristic
49C11×#323C2211yescharacteristic
50C11×#323C2212yescomplemented
51C25×C11D411yescharacteristic
52C2×C11×#41—21no—
53C2×C11×#41—22no—
54C2×C11×#41—22no—
55C2×C11×#41—44no—
56C2×C11×#41D412yescomplemented
57C22×Q8×C11C2311yescharacteristic
58C22×D4×C11—21no—
59C22×D4×C11—21no—
60C22×D4×C11—21no—
61C22×D4×C11—21no—
62C22×D4×C11—21no—
63C22×D4×C11—21no—
64C22×D4×C11C2311yescharacteristic
65C23×C4×C11—21no—
66C23×C4×C11D411yescharacteristic
67C23×C4×C11C2311yescharacteristic
68C11×#135—48no—
69C2×C11×Q16—22no—
70C2×C11×SD16—22no—
71C2×C11×SD16—22no—
72C2×C11×D8—22no—
73C22×C8×C11—22no—
74C11×#126—22no—
75C11×#126—22no—
76C11×#124—22no—
77C11×#124—22no—
78C11×#123—22no—
79C11×#123—22no—
80C11×#123—22no—
81C11×#123—22no—
82C11×#123—22no—
83C11×C22⋊Q8—21no—
84C11×C22⋊Q8—22no—
85C11×C22⋊Q8—21no—
86C11×C22⋊Q8—22no—
87C11×C22⋊Q8D412yescomplemented
88C11×C22⋊Q8C2312yes—
89C11×#121—21no—
90C11×#121—22no—
91C11×#121—22no—
92C11×#121—21no—
93C11×#121D412yescomplemented
94C11×#121C2312yes—
95C11×#120—22no—
96C11×#120—22no—
97C11×#120—22no—
98C11×#120—22no—
99C11×#120—22no—
100C11×#120—44no—
101C4×D4×C11—22no—
102C4×D4×C11—22no—
103C4×D4×C11—22no—
104C4×D4×C11—22no—
105C4×D4×C11—22no—
106C4×D4×C11—22no—
107C11×#117—22no—
108C11×#117—21no—
109C11×#117D412yescomplemented
110C2×C11×C22⋊C4—22no—
111C2×C11×C22⋊C4—21no—
112C2×C11×C22⋊C4—21no—
113C2×C11×C22⋊C4—21no—
114C2×C11×C22⋊C4—22no—
115C2×C11×C22⋊C4—22no—
116C2×C11×C22⋊C4—21no—
117C2×C11×C22⋊C4—21no—
118C2×C11×C22⋊C4—21no—
119C2×C11×C22⋊C4—21no—
120C2×C11×C22⋊C4—21no—
121C2×C11×C22⋊C4D411yescharacteristic
122C2×C11×C22⋊C4D411yescharacteristic
123C2×C11×C22⋊C4C2311yescharacteristic
124C2×C11×C22⋊C4C2311yescharacteristic
125C11×#103—22no—
126C11×#103—22no—
127C11×#102—22no—
128C11×#102—22no—
129C11×C22⋊C8—22no—
130C11×C22⋊C8C2312yes—
131C11×C22⋊C8C2312yes—
132C11×#95—21no—
133C11×#95—21no—
134C11×#95—21no—
135C11×#95C2311yescharacteristic
136C11×#95C2311yescharacteristic
137#18192C1111yesmaximal, characteristic, direct product factor, Sylow
138C24×C11—21no—
139C24×C11—21no—
140C24×C11—21no—
141C24×C11—21no—
142C24×C11—22no—
143C24×C11—41no—
144C24×C11—42no—
145C24×C11—81no—
146C24×C11C2×D411yescharacteristic
147C24×C11C2×D411yescharacteristic
148C24×C11C2×D411yescharacteristic
149C11×#41—28no—
150C11×#41—44no—
151C11×#41—44no—
152C11×#41—44no—
153C11×#41—44no—
154C11×#41—82no—
155C2×Q8×C11—21no—
156C2×Q8×C11—22no—
157C2×Q8×C11—42no—
158C2×Q8×C11C2×D412yes—
159C2×D4×C11—22no—
160C2×D4×C11—24no—
161C2×D4×C11—22no—
162C2×D4×C11—22no—
163C2×D4×C11—22no—
164C2×D4×C11—21no—
165C2×D4×C11—22no—
166C2×D4×C11—22no—
167C2×D4×C11—22no—
168C2×D4×C11—42no—
169C2×D4×C11—42no—
170C2×D4×C11—42no—
171C2×D4×C11—41no—
172C2×D4×C11—41no—
173C2×D4×C11—42no—
174C2×D4×C11—42no—
175C2×D4×C11—42no—
176C2×D4×C11—42no—
177C2×D4×C11—42no—
178C2×D4×C11—81no—
179C2×D4×C11—81no—
180C2×D4×C11—82no—
181C2×D4×C11—82no—
182C2×D4×C11C2×D412yes—
183C22×C4×C11—21no—
184C22×C4×C11—21no—
185C22×C4×C11—21no—
186C22×C4×C11—21no—
187C22×C4×C11—21no—
188C22×C4×C11—22no—
189C22×C4×C11—21no—
190C22×C4×C11—22no—
191C22×C4×C11—21no—
192C22×C4×C11—21no—
193C22×C4×C11—42no—
194C22×C4×C11—42no—
195C22×C4×C11—42no—
196C22×C4×C11—42no—
197C22×C4×C11—81no—
198C22×C4×C11C2×D412yes—
199C22×C4×C11C2×D411yescharacteristic
200C22×C4×C11C2×D411yescharacteristic
201C22×C4×C11C2×D411yescharacteristic
202C22×C4×C11C2×D412yes—
203C22×C4×C11C2411yescharacteristic
204C11×Q16—44no—
205C11×SD16—44no—
206C11×SD16—44no—
207C11×D8—44no—
208C2×C8×C11—22no—
209C2×C8×C11—22no—
210C2×C8×C11—44no—
211C11×C4⋊C4—22no—
212C11×C4⋊C4—21no—
213C11×C4⋊C4—21no—
214C11×C4⋊C4—22no—
215C11×C4⋊C4—22no—
216C11×C4⋊C4—22no—
217C11×C4⋊C4C2×D412yes—
218C11×C4⋊C4C2×D412yes—
219C11×C22⋊C4—22no—
220C11×C22⋊C4—22no—
221C11×C22⋊C4—22no—
222C11×C22⋊C4—22no—
223C11×C22⋊C4—22no—
224C11×C22⋊C4—22no—
225C11×C22⋊C4—22no—
226C11×C22⋊C4—22no—
227C11×C22⋊C4—22no—
228C11×C22⋊C4—22no—
229C11×C22⋊C4—22no—
230C11×C22⋊C4—22no—
231C11×C22⋊C4—22no—
232C11×C22⋊C4—22no—
233C11×C22⋊C4—42no—
234C11×C22⋊C4—42no—
235C11×C22⋊C4—42no—
236C11×C22⋊C4—81no—
237C11×C22⋊C4—81no—
238C42×C11—22no—
239C42×C11—22no—
240#3490C2×C1111yescharacteristic, complemented
241#3002C2×C1112yescomplemented
242#2404C2×C1111yescharacteristic, complemented
243#1606C2×C1112yescomplemented
244#1602C2×C1111yescharacteristic, complemented
245#1601C2×C1111yescharacteristic, complemented
246#1600C2×C1112yescomplemented
247#1596C2×C1111yescharacteristic, complemented
248#1595C2×C1111yescharacteristic, complemented
249#1516C2×C1112yescomplemented
250C2×#323C2×C1111yescharacteristic, complemented
251C23×C11—21no—
252C23×C11—21no—
253C23×C11—21no—
254C23×C11—22no—
255C23×C11—21no—
256C23×C11—22no—
257C23×C11—21no—
258C23×C11—22no—
259C23×C11—21no—
260C23×C11—21no—
261C23×C11—41no—
262C23×C11—42no—
263C23×C11—42no—
264C23×C11—41no—
265C23×C11—41no—
266C23×C11—41no—
267C23×C11—41no—
268C23×C11—41no—
269C23×C11—41no—
270C23×C11—41no—
271C23×C11—42no—
272C23×C11—42no—
273C23×C11—41no—
274C23×C11—41no—
275C23×C11—41no—
276C23×C11—42no—
277C23×C11—81no—
278C23×C11—81no—
279C23×C11—81no—
280C23×C11—81no—
281C23×C11—84no—
282C23×C11—84no—
283C23×C11#12011yescharacteristic
284C23×C11#12011yescharacteristic
285C23×C11#13512yescomplemented
286C23×C11C22×D411yescharacteristic
287Q8×C11—24no—
288Q8×C11—42no—
289Q8×C11—42no—
290Q8×C11—81no—
291D4×C11—24no—
292D4×C11—42no—
293D4×C11—42no—
294D4×C11—44no—
295D4×C11—44no—
296D4×C11—44no—
297D4×C11—42no—
298D4×C11—42no—
299D4×C11—44no—
300D4×C11—44no—
301D4×C11—82no—
302D4×C11—82no—
303D4×C11—81no—
304D4×C11—84no—
305D4×C11—84no—
306C2×C4×C11—24no—
307C2×C4×C11—22no—
308C2×C4×C11—22no—
309C2×C4×C11—21no—
310C2×C4×C11—22no—
311C2×C4×C11—22no—
312C2×C4×C11—21no—
313C2×C4×C11—41no—
314C2×C4×C11—42no—
315C2×C4×C11—41no—
316C2×C4×C11—48no—
317C2×C4×C11—41no—
318C2×C4×C11—42no—
319C2×C4×C11—42no—
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—41no—
327C2×C4×C11—41no—
328C2×C4×C11—41no—
329C2×C4×C11—82no—
330C2×C4×C11—81no—
331C2×C4×C11—81no—
332C2×C4×C11—81no—
333C2×C4×C11—82no—
334C2×C4×C11#12012yes—
335C2×C4×C11C22×D412yes—
336C8×C11—42no—
337C8×C11—42no—
338C22×#41C22×C1111yescharacteristic, complemented
339C2×#135—22no—
340#551—22no—
341#551—22no—
342#546—22no—
343#546—22no—
344#543C22×C1111yescharacteristic
345#538—21no—
346#538C22×C1112yes—
347#534C22×C1111yescharacteristic
348#525—21no—
349#525C22×C1112yes—
350C2×#120—21no—
351C2×#120—21no—
352#518—21no—
353C22×C22⋊C4C22×C1111yescharacteristic
354#452—22no—
355#451C22×C1112yescomplemented
356#450C22×C1112yescomplemented
357#449—22no—
358#448C22×C1112yescomplemented
359#447C22×C1112yescomplemented
360#416—22no—
361C2×C22⋊C8C22×C1112yescomplemented
362#393C22×C1111yescharacteristic
363#393C22×C1111yescharacteristic, complemented
364#392C22×C1111yescharacteristic
365#392C22×C1111yescharacteristic, complemented
366#386—21no—
367#386—21no—
368#386—21no—
369#381C22×C1111yescharacteristic, complemented
370#328C22×C1112yescomplemented
371#328C22×C1112yescomplemented
372#327C22×C1112yescomplemented
373#327C22×C1112yescomplemented
374#323C22×C1111yescharacteristic
375#323C22×C1111yescharacteristic
376#323C22×C1112yescomplemented
377C22×C11—21no—
378C22×C11—21no—
379C22×C11—21no—
380C22×C11—21no—
381C22×C11—22no—
382C22×C11—21no—
383C22×C11—21no—
384C22×C11—21no—
385C22×C11—42no—
386C22×C11—42no—
387C22×C11—42no—
388C22×C11—42no—
389C22×C11—42no—
390C22×C11—42no—
391C22×C11—41no—
392C22×C11—41no—
393C22×C11—42no—
394C22×C11—41no—
395C22×C11—42no—
396C22×C11—41no—
397C22×C11—42no—
398C22×C11—42no—
399C22×C11—41no—
400C22×C11—81no—
401C22×C11—84no—
402C22×C11—81no—
403C22×C11—81no—
404C22×C11—81no—
405C22×C11—84no—
406C22×C11—81no—
407C22×C11—81no—
408C22×C11—162no—
409C22×C11B(4,𝔽2)12yes—
410C22×C11C2×#12011yescharacteristic
411C22×C11C2×#13511yescharacteristic
412C22×C11#57511yescharacteristic
413C4×C11—22no—
414C4×C11—22no—
415C4×C11—42no—
416C4×C11—41no—
417C4×C11—41no—
418C4×C11—42no—
419C4×C11—42no—
420C4×C11—42no—
421C4×C11—81no—
422C4×C11—81no—
423C25D4×C1111yescharacteristic
424C2×#41—21no—
425C2×#41—22no—
426C2×#41—22no—
427C2×#41—44no—
428C2×#41D4×C1112yescomplemented
429C22×Q8C23×C1111yescharacteristic
430C22×D4—21no—
431C22×D4—21no—
432C22×D4—21no—
433C22×D4—21no—
434C22×D4—21no—
435C22×D4—21no—
436C22×D4C23×C1111yescharacteristic
437C23×C4—21no—
438C23×C4D4×C1111yescharacteristic
439C23×C4C23×C1111yescharacteristic
440#135—48no—
441C2×Q16—22no—
442C2×SD16—22no—
443C2×SD16—22no—
444C2×D8—22no—
445C22×C8—22no—
446#126—22no—
447#126—22no—
448#124—22no—
449#124—22no—
450#123—22no—
451#123—22no—
452#123—22no—
453#123—22no—
454#123—22no—
455C22⋊Q8—21no—
456C22⋊Q8—22no—
457C22⋊Q8—21no—
458C22⋊Q8—22no—
459C22⋊Q8D4×C1112yescomplemented
460C22⋊Q8C23×C1112yes—
461#121—21no—
462#121—22no—
463#121—22no—
464#121—21no—
465#121D4×C1112yescomplemented
466#121C23×C1112yes—
467#120—22no—
468#120—22no—
469#120—22no—
470#120—22no—
471#120—22no—
472#120—44no—
473C4×D4—22no—
474C4×D4—22no—
475C4×D4—22no—
476C4×D4—22no—
477C4×D4—22no—
478C4×D4—22no—
479#117—22no—
480#117—21no—
481#117D4×C1112yescomplemented
482C2×C22⋊C4—22no—
483C2×C22⋊C4—21no—
484C2×C22⋊C4—21no—
485C2×C22⋊C4—21no—
486C2×C22⋊C4—22no—
487C2×C22⋊C4—22no—
488C2×C22⋊C4—21no—
489C2×C22⋊C4—21no—
490C2×C22⋊C4—21no—
491C2×C22⋊C4—21no—
492C2×C22⋊C4—21no—
493C2×C22⋊C4D4×C1111yescharacteristic
494C2×C22⋊C4D4×C1111yescharacteristic
495C2×C22⋊C4C23×C1111yescharacteristic
496C2×C22⋊C4C23×C1111yescharacteristic
497#103—22no—
498#103—22no—
499#102—22no—
500#102—22no—
501C22⋊C8—22no—
502C22⋊C8C23×C1112yes—
503C22⋊C8C23×C1112yes—
504#95—21no—
505#95—21no—
506#95—21no—
507#95C23×C1111yescharacteristic
508#95C23×C1111yescharacteristic
509C2×C11—21no—
510C2×C11—21no—
511C2×C11—22no—
512C2×C11—41no—
513C2×C11—42no—
514C2×C11—81no—
515C2×C11—82no—
516C2×C11—82no—
517C2×C11#300211yescharacteristic
518C2×C11#301911yescharacteristic
519C2×C11C2×B(4,𝔽2)11yescharacteristic
520C24—21no—
521C24—21no—
522C24—21no—
523C24—21no—
524C24—22no—
525C24—41no—
526C24—42no—
527C24—81no—
528C24C2×D4×C1111yescharacteristic
529C24C2×D4×C1111yescharacteristic
530C24C2×D4×C1111yescharacteristic
531#41—28no—
532#41—44no—
533#41—44no—
534#41—44no—
535#41—44no—
536#41—82no—
537C2×Q8—21no—
538C2×Q8—22no—
539C2×Q8—42no—
540C2×Q8C2×D4×C1112yes—
541C2×D4—22no—
542C2×D4—24no—
543C2×D4—22no—
544C2×D4—22no—
545C2×D4—22no—
546C2×D4—21no—
547C2×D4—22no—
548C2×D4—22no—
549C2×D4—22no—
550C2×D4—42no—
551C2×D4—42no—
552C2×D4—42no—
553C2×D4—41no—
554C2×D4—41no—
555C2×D4—42no—
556C2×D4—42no—
557C2×D4—42no—
558C2×D4—42no—
559C2×D4—42no—
560C2×D4—81no—
561C2×D4—81no—
562C2×D4—82no—
563C2×D4—82no—
564C2×D4C2×D4×C1112yes—
565C22×C4—21no—
566C22×C4—21no—
567C22×C4—21no—
568C22×C4—21no—
569C22×C4—21no—
570C22×C4—22no—
571C22×C4—21no—
572C22×C4—22no—
573C22×C4—21no—
574C22×C4—21no—
575C22×C4—42no—
576C22×C4—42no—
577C22×C4—42no—
578C22×C4—42no—
579C22×C4—81no—
580C22×C4C2×D4×C1112yes—
581C22×C4C2×D4×C1111yescharacteristic
582C22×C4C2×D4×C1111yescharacteristic
583C22×C4C2×D4×C1111yescharacteristic
584C22×C4C2×D4×C1112yes—
585C22×C4C24×C1111yescharacteristic
586Q16—44no—
587SD16—44no—
588SD16—44no—
589D8—44no—
590C2×C8—22no—
591C2×C8—22no—
592C2×C8—44no—
593C4⋊C4—22no—
594C4⋊C4—21no—
595C4⋊C4—21no—
596C4⋊C4—22no—
597C4⋊C4—22no—
598C4⋊C4—22no—
599C4⋊C4C2×D4×C1112yes—
600C4⋊C4C2×D4×C1112yes—
601C22⋊C4—22no—
602C22⋊C4—22no—
603C22⋊C4—22no—
604C22⋊C4—22no—
605C22⋊C4—22no—
606C22⋊C4—22no—
607C22⋊C4—22no—
608C22⋊C4—22no—
609C22⋊C4—22no—
610C22⋊C4—22no—
611C22⋊C4—22no—
612C22⋊C4—22no—
613C22⋊C4—22no—
614C22⋊C4—22no—
615C22⋊C4—42no—
616C22⋊C4—42no—
617C22⋊C4—42no—
618C22⋊C4—81no—
619C22⋊C4—81no—
620C42—22no—
621C42—22no—
622C11#1819211yescharacteristic, direct product factor, Sylow
623C23—21no—
624C23—21no—
625C23—21no—
626C23—22no—
627C23—21no—
628C23—22no—
629C23—21no—
630C23—22no—
631C23—21no—
632C23—21no—
633C23—41no—
634C23—42no—
635C23—42no—
636C23—41no—
637C23—41no—
638C23—41no—
639C23—41no—
640C23—41no—
641C23—41no—
642C23—41no—
643C23—42no—
644C23—42no—
645C23—41no—
646C23—41no—
647C23—41no—
648C23—42no—
649C23—81no—
650C23—81no—
651C23—81no—
652C23—81no—
653C23—84no—
654C23—84no—
655C23C11×#12011yescharacteristic
656C23C11×#12011yescharacteristic
657C23C11×#13512yescomplemented
658C23C22×D4×C1111yescharacteristic
659Q8—24no—
660Q8—42no—
661Q8—42no—
662Q8—81no—
663D4—24no—
664D4—42no—
665D4—42no—
666D4—44no—
667D4—44no—
668D4—44no—
669D4—42no—
670D4—42no—
671D4—44no—
672D4—44no—
673D4—82no—
674D4—82no—
675D4—81no—
676D4—84no—
677D4—84no—
678C2×C4—24no—
679C2×C4—22no—
680C2×C4—22no—
681C2×C4—21no—
682C2×C4—22no—
683C2×C4—22no—
684C2×C4—21no—
685C2×C4—41no—
686C2×C4—42no—
687C2×C4—41no—
688C2×C4—48no—
689C2×C4—41no—
690C2×C4—42no—
691C2×C4—42no—
692C2×C4—41no—
693C2×C4—41no—
694C2×C4—41no—
695C2×C4—41no—
696C2×C4—41no—
697C2×C4—41no—
698C2×C4—41no—
699C2×C4—41no—
700C2×C4—41no—
701C2×C4—82no—
702C2×C4—81no—
703C2×C4—81no—
704C2×C4—81no—
705C2×C4—82no—
706C2×C4C11×#12012yes—
707C2×C4C22×D4×C1112yes—
708C8—42no—
709C8—42no—
710C22—21no—
711C22—21no—
712C22—21no—
713C22—21no—
714C22—22no—
715C22—21no—
716C22—21no—
717C22—21no—
718C22—42no—
719C22—42no—
720C22—42no—
721C22—42no—
722C22—42no—
723C22—42no—
724C22—41no—
725C22—41no—
726C22—42no—
727C22—41no—
728C22—42no—
729C22—41no—
730C22—42no—
731C22—42no—
732C22—41no—
733C22—81no—
734C22—84no—
735C22—81no—
736C22—81no—
737C22—81no—
738C22—84no—
739C22—81no—
740C22—81no—
741C22—162no—
742C22C11×B(4,𝔽2)12yes—
743C22C2×C11×#12011yescharacteristic
744C22C2×C11×#13511yescharacteristic
745C22C11×#57511yescharacteristic
746C4—22no—
747C4—22no—
748C4—42no—
749C4—41no—
750C4—41no—
751C4—42no—
752C4—42no—
753C4—42no—
754C4—81no—
755C4—81no—
756C2—21no—
757C2—21no—
758C2—22no—
759C2—41no—
760C2—42no—
761C2—81no—
762C2—82no—
763C2—82no—
764C2C11×#300211yescharacteristic
765C2C11×#301911yescharacteristic
766C2C2×C11×B(4,𝔽2)11yescharacteristic
subgroupG/H
center, socleC22×C11C2×#120
commutator, Frattini, cosocleC22×C4C24×C11
LCSG ▷ C22×C4 ▷ C22 ▷ C1
UCSC1 ◁ C22×C11 ◁ C23×C4×C11 ◁ G

Complements

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

NH ≅ G/Ntype
1. C11×#3490C2semidirect
2. C11×#3002C2semidirect
3. C11×#2404C2semidirect
4. C11×#1606C2semidirect
5. C11×#1602C2semidirect
6. C11×#1601C2semidirect
7. C11×#1600C2semidirect
8. C11×#1596C2semidirect
9. C11×#1595C2semidirect
10. C11×#1516C2semidirect
11. C2×C11×#323C2semidirect
12. C22×C11×#41C22semidirect
29. C11×#451C22semidirect
30. C11×#450C22semidirect
32. C11×#448C22semidirect
33. C11×#447C22semidirect
35. C2×C11×C22⋊C8C22semidirect
37. C11×#393C22semidirect
39. C11×#392C22semidirect
43. C11×#381C22semidirect
44. C11×#328C22semidirect
45. C11×#328C22semidirect
46. C11×#327C22semidirect
47. C11×#327C22semidirect
50. C11×#323C22semidirect
56. C2×C11×#41D4semidirect
87. C11×C22⋊Q8D4semidirect
93. C11×#121D4semidirect
109. C11×#117D4semidirect
137. #18192C11direct (N × H)
240. #3490C2×C11semidirect
241. #3002C2×C11semidirect
242. #2404C2×C11semidirect
243. #1606C2×C11semidirect
244. #1602C2×C11semidirect
245. #1601C2×C11semidirect
246. #1600C2×C11semidirect
247. #1596C2×C11semidirect
248. #1595C2×C11semidirect
249. #1516C2×C11semidirect
250. C2×#323C2×C11semidirect
285. C23×C11#135semidirect
338. C22×#41C22×C11semidirect
355. #451C22×C11semidirect
356. #450C22×C11semidirect
358. #448C22×C11semidirect
359. #447C22×C11semidirect
361. C2×C22⋊C8C22×C11semidirect
363. #393C22×C11semidirect
365. #392C22×C11semidirect
369. #381C22×C11semidirect
370. #328C22×C11semidirect
371. #328C22×C11semidirect
372. #327C22×C11semidirect
373. #327C22×C11semidirect
376. #323C22×C11semidirect
428. C2×#41D4×C11semidirect
459. C22⋊Q8D4×C11semidirect
465. #121D4×C11semidirect
481. #117D4×C11semidirect
622. C11#18192direct (N × H)
657. C23C11×#135semidirect

Maximal subgroups

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

subgroupindex
C11×#34902
C11×#30022
C11×#24042
C11×#16062
C11×#16022
C11×#16012
C11×#16002
C11×#15962
C11×#15952
C11×#15162
C2×C11×#3232
#1819211