Finite Group Databasebeta

← #14765006

Subgroups — #14765006

Order 2816.

1000 conjugacy classes of subgroups.

The subgroup lattice has 726 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22⋊Q8×Dic11C211yesmaximal, characteristic, complemented
2#13071107C211yesmaximal, characteristic
3#13069499C211yesmaximal, characteristic, complemented
4#13069488C211yesmaximal, characteristic, complemented
5#13069315C211yesmaximal, characteristic, complemented
6#13069308C211yesmaximal, characteristic, complemented
7#13069259C211yesmaximal, characteristic, complemented
8#13069245C211yesmaximal, characteristic, complemented
9#13068973C211yesmaximal, characteristic, complemented
10#13068959C211yesmaximal, characteristic, complemented
11#13068929C211yesmaximal, characteristic, complemented
12#13068817C211yesmaximal, characteristic, complemented
13#13068556C211yesmaximal, characteristic
14#13068380C211yesmaximal, characteristic, complemented
15C2×C11×#452C211yesmaximal, characteristic
16C22×C11×#41C2211yescharacteristic
17C22×C11×Q16C2211yescharacteristic
18C22×C11×SD16C2211yescharacteristic
19C2×C11×C22⋊Q8C2211yescharacteristic
20C2×Q8×Dic11C2211yescharacteristic
21C2×#66979C2211yescharacteristic
22C22×C4×Dic11C2211yescharacteristic
23C11×#452C418yescomplemented
24C2×C11×#103C2211yescharacteristic
25C2×C11×#102C2211yescharacteristic
26C2×C11×C22⋊C8C2211yescharacteristic
27#10622843C2211yescharacteristic
28#10622843C2211yescharacteristic
29#10622843C2211yescharacteristic
30C2×#66899C2211yescharacteristic
31C2×#66899C2211yescharacteristic
32C2×#66899C2211yescharacteristic
33C2×#66899C2211yescharacteristic
34#10622834C2211yescharacteristic
35#10622834C2211yescharacteristic
36#10622833—21no—
37#10622833—21no—
38C2×#66896C2211yescharacteristic
39C2×#66896C2211yescharacteristic
40#10622825C2211yescharacteristic
41C4×C22⋊Dic11—21no—
42C4×C22⋊Dic11—21no—
43C2×C22⋊(C11⋊C8)C2211yescharacteristic
44C2×#66882C2211yescharacteristic
45C2×#66881C2211yescharacteristic
46C2×#66879C2211yescharacteristic
47C2×#66879C2211yescharacteristic
48#10622598C2211yescharacteristic
49#10622594—21no—
50C4⋊C4×Dic11—21no—
51C4⋊C4×Dic11C2211yescharacteristic
52#10622563—21no—
53C22⋊C4×Dic11—21no—
54#10622189C2211yescharacteristic
55#10622189C2211yescharacteristic
56#10622188C2211yescharacteristic
57#10622188C2211yescharacteristic
58#10622167C2211yescharacteristic
59#10622167C2211yescharacteristic
60C2×C11×#41—22no—
61C2×C11×#41—41no—
62C2×C11×#41—41no—
63C2×C11×#41—41no—
64C2×C11×#41—41no—
65C2×C11×#41C2×C414yes—
66C22×Q8×C11C2311yescharacteristic
67C22×Q8×C11C2311yescharacteristic
68C22×D4×C11—21no—
69C22×D4×C11C2311yescharacteristic
70C23×C4×C11—21no—
71C23×C4×C11C2311yescharacteristic
72C23×Dic11D411yescharacteristic
73C23×Dic11D411yescharacteristic
74C2×C11×Q16—41no—
75C2×C11×Q16—41no—
76C2×C11×Q16C2×C414yescomplemented
77C2×C11×SD16—41no—
78C2×C11×SD16—41no—
79C2×C11×SD16C2×C414yescomplemented
80C22×C8×C11C2311yescharacteristic
81C22×C8×C11C2311yescharacteristic
82C11×C22⋊Q8—22no—
83C11×C22⋊Q8C2×C414yes—
84C2×C11×C4⋊C4—21no—
85C2×C11×C4⋊C4C2311yescharacteristic
86C2×C11×C22⋊C4—21no—
87C2×C22⋊Dic11—21no—
88C2×C22⋊Dic11—21no—
89C2×C22⋊Dic11—21no—
90C2×C22⋊Dic11—21no—
91C2×C22⋊Dic11—21no—
92C2×C22⋊Dic11—21no—
93Q8×Dic11—41no—
94Q8×Dic11—41no—
95#66979—41no—
96#66979—41no—
97C2×C4⋊Dic11—21no—
98C2×C4⋊Dic11—21no—
99C2×C4⋊Dic11C2311yescharacteristic
100C2×C4⋊Dic11C2311yescharacteristic
101C2×C4⋊Dic11C2311yescharacteristic
102C2×C4⋊Dic11C2311yescharacteristic
103C2×C4×Dic11—21no—
104C2×C4×Dic11—21no—
105C2×C4×Dic11—21no—
106C2×C4×Dic11—41no—
107C2×C4×Dic11—41no—
108C2×C4×Dic11D411yescharacteristic
109C2×C4×Dic11D411yescharacteristic
110C2×C4×Dic11C2311yescharacteristic
111C2×C4×Dic11C2311yescharacteristic
112C22×C11⋊C8C2311yescharacteristic
113C22×C11⋊C8C2311yescharacteristic
114C11×#103C2×C414yescomplemented
115C11×#102C2×C414yescomplemented
116C11×C22⋊C8C2×C414yes—
117#66899—41no—
118#66899—41no—
119#66899—41no—
120#66899—41no—
121#66896—41no—
122#66896—41no—
123C11⋊#95—21no—
124C11⋊#95—21no—
125C11⋊#95—21no—
126C11⋊#95—21no—
127C11⋊#95—21no—
128C11⋊#95—21no—
129C11⋊#95—21no—
130C11⋊#95—21no—
131C11⋊#95—21no—
132C22⋊(C11⋊C8)—22no—
133#66882—41no—
134#66881—41no—
135#66879—41no—
136#66879—41no—
137#22048—111nomaximal, Sylow
138C24×C11—21no—
139C24×C11C2×D411yescharacteristic
140C11×#41—44no—
141C11×#41—44no—
142C11×#41—44no—
143C11×#41—44no—
144C2×Q8×C11—21no—
145C2×Q8×C11—21no—
146C2×Q8×C11—21no—
147C2×Q8×C11—21no—
148C2×Q8×C11—21no—
149C2×Q8×C11—21no—
150C2×Q8×C11—21no—
151C2×Q8×C11—21no—
152C2×Q8×C11—21no—
153C2×Q8×C11—21no—
154C2×Q8×C11C22×C412yes—
155C2×Q8×C11C22×C412yes—
156C2×D4×C11—24no—
157C2×D4×C11—21no—
158C2×D4×C11—21no—
159C2×D4×C11—21no—
160C2×D4×C11—21no—
161C2×D4×C11—21no—
162C2×D4×C11—42no—
163C2×D4×C11—42no—
164C2×D4×C11C22×C412yes—
165C22×C4×C11—21no—
166C22×C4×C11—21no—
167C22×C4×C11—21no—
168C22×C4×C11—21no—
169C22×C4×C11—21no—
170C22×C4×C11—21no—
171C22×C4×C11—21no—
172C22×C4×C11—24no—
173C22×C4×C11—42no—
174C22×C4×C11—42no—
175C22×C4×C11C22×C412yes—
176C22×C4×C11C2×D411yescharacteristic
177C22×C4×C11#4112yes—
178C22×C4×C11C2411yescharacteristic
179C22×Dic11—22no—
180C22×Dic11—21no—
181C22×Dic11—21no—
182C22×Dic11—21no—
183C22×Dic11—21no—
184C22×Dic11—41no—
185C22×Dic11—41no—
186C22×Dic11—41no—
187C22×Dic11—41no—
188C22×Dic11—41no—
189C22×Dic11C2×D411yescharacteristic
190C22×Dic11C2×D411yescharacteristic
191C22×Dic11C2×D411yescharacteristic
192C22×Dic11C2×D411yescharacteristic
193C11×Q16—44no—
194C11×SD16—44no—
195C2×C8×C11—21no—
196C2×C8×C11—21no—
197C2×C8×C11—21no—
198C2×C8×C11—21no—
199C2×C8×C11C22×C412yes—
200C2×C8×C11C22×C412yes—
201C11×C4⋊C4—24no—
202C11×C4⋊C4—21no—
203C11×C4⋊C4C22×C412yes—
204C11×C22⋊C4—24no—
205C22⋊Dic11—42no—
206C22⋊Dic11—42no—
207C22⋊Dic11—42no—
208C22⋊Dic11—42no—
209C22⋊Dic11—42no—
210C22⋊Dic11—42no—
211C4⋊Dic11—21no—
212C4⋊Dic11—21no—
213C4⋊Dic11—21no—
214C4⋊Dic11—21no—
215C4⋊Dic11—21no—
216C4⋊Dic11—21no—
217C4⋊Dic11—21no—
218C4⋊Dic11—21no—
219C4⋊Dic11—42no—
220C4⋊Dic11—42no—
221C4×Dic11—21no—
222C4×Dic11—21no—
223C4×Dic11—21no—
224C4×Dic11—21no—
225C4×Dic11—41no—
226C4×Dic11—41no—
227C4×Dic11—42no—
228C4×Dic11—42no—
229C4×Dic11—42no—
230C2×C11⋊C8—21no—
231C2×C11⋊C8—21no—
232C2×C11⋊C8—21no—
233C2×C11⋊C8—21no—
234C2×C11⋊C8—21no—
235C2×C11⋊C8—21no—
236C2×#452D1111yescharacteristic
237C4×C22⋊Q8—111no—
238#2297—111no—
239#1973—111no—
240#1971—111no—
241#1936—111no—
242#1935—111no—
243#1928—111no—
244#1926—111no—
245#1880—111no—
246#1878—111no—
247#1873—111no—
248#1854—111no—
249#1788—111no—
250#1749—111no—
251C23×C11—21no—
252C23×C11—21no—
253C23×C11—21no—
254C23×C11—21no—
255C23×C11—21no—
256C23×C11—21no—
257C23×C11—22no—
258C23×C11—41no—
259C23×C11—41no—
260C23×C11—41no—
261C23×C11—41no—
262C23×C11—41no—
263C23×C11—41no—
264C23×C11C4×D412yes—
265C23×C11C22×D411yescharacteristic
266Q8×C11—22no—
267Q8×C11—22no—
268Q8×C11—22no—
269Q8×C11—22no—
270Q8×C11—41no—
271Q8×C11—41no—
272Q8×C11—41no—
273Q8×C11—41no—
274D4×C11—22no—
275D4×C11—22no—
276D4×C11—48no—
277D4×C11—41no—
278D4×C11—41no—
279C2×C4×C11—21no—
280C2×C4×C11—21no—
281C2×C4×C11—22no—
282C2×C4×C11—22no—
283C2×C4×C11—22no—
284C2×C4×C11—22no—
285C2×C4×C11—22no—
286C2×C4×C11—22no—
287C2×C4×C11—22no—
288C2×C4×C11—48no—
289C2×C4×C11—41no—
290C2×C4×C11—41no—
291C2×C4×C11—41no—
292C2×C4×C11—41no—
293C2×C4×C11—41no—
294C2×C4×C11—41no—
295C2×C4×C11C4×D412yes—
296C2×C4×C11C23×C411yescharacteristic
297C2×C4×C11C2×#4111yescharacteristic
298C2×C4×C11H(5,𝔽2)11yescharacteristic
299C2×C4×C11H(5,𝔽2)11yescharacteristic
300C2×C4×C11H(5,𝔽2)11yescharacteristic
301C2×C4×C11H(5,𝔽2)11yescharacteristic
302C2×Dic11—21no—
303C2×Dic11—21no—
304C2×Dic11—21no—
305C2×Dic11—21no—
306C2×Dic11—21no—
307C2×Dic11—21no—
308C2×Dic11—21no—
309C2×Dic11—21no—
310C2×Dic11—21no—
311C2×Dic11—21no—
312C2×Dic11—21no—
313C2×Dic11—44no—
314C2×Dic11—44no—
315C2×Dic11—41no—
316C2×Dic11—41no—
317C2×Dic11—41no—
318C2×Dic11—41no—
319C2×Dic11—41no—
320C2×Dic11—41no—
321C2×Dic11—41no—
322C2×Dic11—41no—
323C2×Dic11—41no—
324C2×Dic11—41no—
325C2×Dic11—41no—
326C2×Dic11—41no—
327C2×Dic11#13712yes—
328C8×C11—22no—
329C8×C11—22no—
330C11⋊C8—41no—
331C11⋊C8—41no—
332C22×#41C2×D1111yescharacteristic
333C22×Q16C2×D1111yescharacteristic
334C22×SD16C2×D1111yescharacteristic
335C2×C22⋊Q8C2×D1111yescharacteristic
336C2×C4×Q8—111no—
337C2×#117—111no—
338C22×C42—111no—
339#452Dic1118yescomplemented
340C2×#107—111no—
341C2×#106—111no—
342C2×#103—111no—
343C2×#103—111no—
344C2×#103—111no—
345C2×#103—111no—
346C2×#103C2×D1111yescharacteristic
347C2×#102—111no—
348C2×#102—111no—
349C2×#102C2×D1111yescharacteristic
350C2×C22⋊C8—111no—
351C2×C22⋊C8C2×D1111yescharacteristic
352C2×#97—111no—
353C2×#97—111no—
354#391—111no—
355#391—111no—
356#391—111no—
357#390—111no—
358#390—111no—
359#389—111no—
360#387—221no—
361#386—221no—
362#386—221no—
363#385—221no—
364#380—111no—
365C4×C4⋊C4—111no—
366C4×C4⋊C4—221no—
367C4×C22⋊C4—221no—
368C4×C22⋊C4—221no—
369C4×C22⋊C4—221no—
370#340—111no—
371#340—111no—
372#340—111no—
373#340—111no—
374#336—111no—
375#336—111no—
376C22×C11—22no—
377C22×C11—22no—
378C22×C11—22no—
379C22×C11—41no—
380C22×C11—41no—
381C22×C11—41no—
382C22×C11—41no—
383C22×C11—42no—
384C22×C11—42no—
385C22×C11—42no—
386C22×C11—81no—
387C22×C11—81no—
388C22×C11—81no—
389C22×C11—81no—
390C22×C11C2×C4×D411yescharacteristic
391C22×C11#53411yescharacteristic
392C22×C11#53511yescharacteristic
393C22×C11C2×#13711yescharacteristic
394C22×C11#57511yescharacteristic
395C22×C11#57511yescharacteristic
396C22×C11#57511yescharacteristic
397C4×C11—22no—
398C4×C11—42no—
399C4×C11—42no—
400C4×C11—42no—
401C4×C11#51811yescharacteristic
402C4×C11#51811yescharacteristic
403C4×C11#53811yescharacteristic
404C4×C11#53811yescharacteristic
405Dic11—22no—
406Dic11—41no—
407Dic11—41no—
408Dic11—41no—
409Dic11—81no—
410Dic11—81no—
411Dic11—81no—
412Dic11—81no—
413C2×#41—22no—
414C2×#41—41no—
415C2×#41—41no—
416C2×#41—41no—
417C2×#41—41no—
418C2×#41C2×Dic1114yes—
419C22×Q8C22×D1111yescharacteristic
420C22×Q8C22×D1111yescharacteristic
421C22×D4—21no—
422C22×D4C22×D1111yescharacteristic
423C23×C4—21no—
424C23×C4—111no—
425C23×C4—111no—
426C23×C4C22×D1111yescharacteristic
427C2×Q16—41no—
428C2×Q16—41no—
429C2×Q16C2×Dic1114yescomplemented
430C2×SD16—41no—
431C2×SD16—41no—
432C2×SD16C2×Dic1114yescomplemented
433C22×C8—111no—
434C22×C8—111no—
435C22×C8C22×D1111yescharacteristic
436C22×C8C22×D1111yescharacteristic
437C22⋊Q8—22no—
438C22⋊Q8C2×Dic1114yes—
439C4×Q8—441no—
440C4×Q8—441no—
441#117—441no—
442#117—441no—
443C2×C4⋊C4—21no—
444C2×C4⋊C4—111no—
445C2×C4⋊C4—111no—
446C2×C4⋊C4—111no—
447C2×C4⋊C4—111no—
448C2×C4⋊C4—221no—
449C2×C4⋊C4—221no—
450C2×C4⋊C4C22×D1111yescharacteristic
451C2×C22⋊C4—21no—
452C2×C22⋊C4—221no—
453C2×C22⋊C4—221no—
454C2×C22⋊C4—221no—
455C2×C22⋊C4—221no—
456C2×C22⋊C4—221no—
457C2×C22⋊C4—221no—
458C2×C42—111no—
459C2×C42—111no—
460C2×C42—111no—
461C2×C42—111no—
462C2×C42—221no—
463C2×C42—221no—
464C2×C42—221no—
465C2×C42—441no—
466C2×C42—441no—
467#107—441no—
468#106—441no—
469#103—441no—
470#103—441no—
471#103—441no—
472#103—441no—
473#103C2×Dic1114yescomplemented
474#102—441no—
475#102—441no—
476#102C2×Dic1114yescomplemented
477C22⋊C8—222no—
478C22⋊C8C2×Dic1114yes—
479#97—441no—
480#97—441no—
481#95—221no—
482#95—221no—
483#95—221no—
484#95—221no—
485#95—221no—
486#95—221no—
487#95—221no—
488#95—221no—
489#95—221no—
490C2×C11—42no—
491C2×C11—82no—
492C2×C11#232111yescharacteristic
493C2×C11#294311yescharacteristic
494C2×C11C4×#13711yescharacteristic
495C2×C11#319611yescharacteristic
496C2×C11#319711yescharacteristic
497C2×C11#321611yescharacteristic
498C2×C11#321911yescharacteristic
499C24—21no—
500C24D4×D1111yescharacteristic
501#41—44no—
502#41—44no—
503#41—44no—
504#41—44no—
505C2×Q8—21no—
506C2×Q8—21no—
507C2×Q8—21no—
508C2×Q8—21no—
509C2×Q8—21no—
510C2×Q8—21no—
511C2×Q8—21no—
512C2×Q8—21no—
513C2×Q8—21no—
514C2×Q8—21no—
515C2×Q8C22×Dic1112yes—
516C2×Q8C22×Dic1112yes—
517C2×D4—24no—
518C2×D4—21no—
519C2×D4—21no—
520C2×D4—21no—
521C2×D4—21no—
522C2×D4—21no—
523C2×D4—42no—
524C2×D4—42no—
525C2×D4C22×Dic1112yes—
526C22×C4—21no—
527C22×C4—21no—
528C22×C4—21no—
529C22×C4—21no—
530C22×C4—21no—
531C22×C4—21no—
532C22×C4—21no—
533C22×C4—24no—
534C22×C4—42no—
535C22×C4—42no—
536C22×C4—111no—
537C22×C4—111no—
538C22×C4—111no—
539C22×C4—111no—
540C22×C4—222no—
541C22×C4—221no—
542C22×C4—221no—
543C22×C4—221no—
544C22×C4—221no—
545C22×C4—441no—
546C22×C4—441no—
547C22×C4—441no—
548C22×C4—441no—
549C22×C4—441no—
550C22×C4D4×D1111yescharacteristic
551C22×C4#434112yes—
552C22×C4C22×Dic1112yes—
553C22×C4C23×D1111yescharacteristic
554Q16—44no—
555SD16—44no—
556C2×C8—21no—
557C2×C8—21no—
558C2×C8—21no—
559C2×C8—21no—
560C2×C8—221no—
561C2×C8—221no—
562C2×C8—221no—
563C2×C8—221no—
564C2×C8—221no—
565C2×C8—221no—
566C2×C8C22×Dic1112yes—
567C2×C8C22×Dic1112yes—
568C4⋊C4—24no—
569C4⋊C4—21no—
570C4⋊C4—221no—
571C4⋊C4—221no—
572C4⋊C4—221no—
573C4⋊C4—221no—
574C4⋊C4—221no—
575C4⋊C4—221no—
576C4⋊C4—221no—
577C4⋊C4—221no—
578C4⋊C4—442no—
579C4⋊C4—442no—
580C4⋊C4C22×Dic1112yes—
581C22⋊C4—24no—
582C22⋊C4—442no—
583C22⋊C4—442no—
584C22⋊C4—442no—
585C22⋊C4—442no—
586C22⋊C4—442no—
587C22⋊C4—442no—
588C42—221no—
589C42—221no—
590C42—221no—
591C42—221no—
592C42—441no—
593C42—441no—
594C42—442no—
595C42—442no—
596C42—442no—
597C11#2204811yescharacteristic, complemented, Sylow
598C23—21no—
599C23—21no—
600C23—21no—
601C23—21no—
602C23—21no—
603C23—21no—
604C23—22no—
605C23—41no—
606C23—41no—
607C23—41no—
608C23—41no—
609C23—41no—
610C23—41no—
611C23D4×Dic1112yes—
612C23C2×D4×D1111yescharacteristic
613Q8—22no—
614Q8—22no—
615Q8—22no—
616Q8—22no—
617Q8—41no—
618Q8—41no—
619Q8—41no—
620Q8—41no—
621D4—22no—
622D4—22no—
623D4—48no—
624D4—41no—
625D4—41no—
626C2×C4—21no—
627C2×C4—21no—
628C2×C4—22no—
629C2×C4—22no—
630C2×C4—22no—
631C2×C4—22no—
632C2×C4—22no—
633C2×C4—22no—
634C2×C4—22no—
635C2×C4—48no—
636C2×C4—41no—
637C2×C4—41no—
638C2×C4—41no—
639C2×C4—41no—
640C2×C4—41no—
641C2×C4—41no—
642C2×C4—112no—
643C2×C4—221no—
644C2×C4—221no—
645C2×C4—221no—
646C2×C4—221no—
647C2×C4—221no—
648C2×C4—221no—
649C2×C4—221no—
650C2×C4—221no—
651C2×C4—221no—
652C2×C4—221no—
653C2×C4—221no—
654C2×C4—444no—
655C2×C4—444no—
656C2×C4—441no—
657C2×C4—441no—
658C2×C4—441no—
659C2×C4—441no—
660C2×C4—441no—
661C2×C4—441no—
662C2×C4—441no—
663C2×C4—441no—
664C2×C4—441no—
665C2×C4—441no—
666C2×C4—441no—
667C2×C4—441no—
668C2×C4D4×Dic1112yes—
669C2×C4C2×#434111yescharacteristic
670C2×C4#6703711yescharacteristic
671C2×C4#6703711yescharacteristic
672C2×C4#6703711yescharacteristic
673C2×C4#6703711yescharacteristic
674C2×C4C23×Dic1111yescharacteristic
675C8—22no—
676C8—22no—
677C8—441no—
678C8—441no—
679C22—22no—
680C22—22no—
681C22—22no—
682C22—41no—
683C22—41no—
684C22—41no—
685C22—41no—
686C22—42no—
687C22—42no—
688C22—42no—
689C22—81no—
690C22—81no—
691C22—81no—
692C22—81no—
693C22#1062312011yescharacteristic
694C22#1062312311yescharacteristic
695C22#1062329911yescharacteristic
696C22#1062329911yescharacteristic
697C22D11×#13711yescharacteristic
698C22#1062330811yescharacteristic
699C22C2×D4×Dic1111yescharacteristic
700C4—22no—
701C4—42no—
702C4—42no—
703C4—42no—
704C4—222no—
705C4—441no—
706C4—441no—
707C4—441no—
708C4—881no—
709C4—881no—
710C4—881no—
711C4—881no—
712C4#1062312411yescharacteristic
713C4#1062312411yescharacteristic
714C4#1062332911yescharacteristic
715C4#1062332911yescharacteristic
716C2—42no—
717C2—82no—
718C2#1307127711yescharacteristic
719C2#1307741711yescharacteristic
720C2#137×Dic1111yescharacteristic
721C2#1307944411yescharacteristic
722C2#1307945711yescharacteristic
723C2#1307962411yescharacteristic
724C2#1307965711yescharacteristic
subgroupG/H
centerC23C2×D4×D11
commutatorC2×C4×C11C23×C4
FrattiniC22×C4C23×D11
FittingC2×C11×#452C2
socleC23×C11C22×D4
prime radicalC22×C11×#41C22
cosocleC22×C4×C11C24
hypercenterC2×#452D11
hypocenterC11#22048
LCSG ▷ C2×C4×C11 ▷ C2×C11 ▷ C11
UCSC1 ◁ C23 ◁ C23×C4 ◁ C2×#452

Complements

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

NH ≅ G/Ntype
1. C22⋊Q8×Dic11C2semidirect
3. #13069499C2semidirect
4. #13069488C2semidirect
5. #13069315C2semidirect
6. #13069308C2semidirect
7. #13069259C2semidirect
8. #13069245C2semidirect
9. #13068973C2semidirect
10. #13068959C2semidirect
11. #13068929C2semidirect
12. #13068817C2semidirect
14. #13068380C2semidirect
23. C11×#452C4semidirect
76. C2×C11×Q16C2×C4semidirect
79. C2×C11×SD16C2×C4semidirect
114. C11×#103C2×C4semidirect
115. C11×#102C2×C4semidirect
339. #452Dic11semidirect
429. C2×Q16C2×Dic11semidirect
432. C2×SD16C2×Dic11semidirect
473. #103C2×Dic11semidirect
476. #102C2×Dic11semidirect
597. C11#22048semidirect

Maximal subgroups

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

subgroupindex
C22⋊Q8×Dic112
#130711072
#130694992
#130694882
#130693152
#130693082
#130692592
#130692452
#130689732
#130689592
#130689292
#130688172
#130685562
#130683802
C2×C11×#4522
#2204811