Finite Group Databasebeta

← #14772014

Subgroups — #14772014

Order 2816.

978 conjugacy classes of subgroups.

The subgroup lattice has 674 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#10622741C211yesmaximal, characteristic
2C2×#10622474C211yesmaximal, characteristic, complemented
3#13071546C211yesmaximal, characteristic
4#13071541C211yesmaximal, characteristic
5#13069385C211yesmaximal, characteristic, complemented
6#13069381C211yesmaximal, characteristic, complemented
7#13068815C211yesmaximal, characteristic, complemented
8#13068812C211yesmaximal, characteristic, complemented
9#13068809C211yesmaximal, characteristic, complemented
10#13068807C211yesmaximal, characteristic, complemented
11#13068779C211yesmaximal, characteristic, complemented
12#13068650C211yesmaximal, characteristic, complemented
13#13068649C211yesmaximal, characteristic, complemented
14#106×Dic11C211yesmaximal, characteristic, complemented
15C2×C11×#428C211yesmaximal, characteristic, complemented
16C22×C11×M16C2211yescharacteristic
17C2×C11×#117C2211yescharacteristic
18C22×C11×C4⋊C4C2211yescharacteristic
19C2×C4×C22⋊D11C2211yescharacteristic
20C22×#4313C2211yescharacteristic
21C2×#66945C2211yescharacteristic
22C2×C4⋊C4×D11C2211yescharacteristic
23C11×#428—24no—
24C2×C11×#107C2211yescharacteristic
25C2×C11×#107C2211yescharacteristic
26C2×C11×#106C2211yescharacteristic
27C2×C11×#106C2211yescharacteristic
28#10622826—21no—
29#10622825C2211yescharacteristic
30#10622825C2211yescharacteristic
31C4×C22⋊Dic11—21no—
32C2×C22⋊(C11⋊C8)C2211yescharacteristic
33#10622741C418yescomplemented
34C2×(C2×D11)⋊C8C2211yescharacteristic
35C2×#66882C2211yescharacteristic
36C2×#66881C2211yescharacteristic
37C2×Dic11⋊C8C2211yescharacteristic
38C2×C8×Dic11C2211yescharacteristic
39#10622603—21no—
40#10622600C2211yescharacteristic
41#10622600C2211yescharacteristic
42#10622591—21no—
43#10622590C2211yescharacteristic
44#10622590C2211yescharacteristic
45C4⋊C4×Dic11C2211yescharacteristic
46C4⋊C4×Dic11C2211yescharacteristic
47C2×#66872C2211yescharacteristic
48C2×#66872C2211yescharacteristic
49C2×#66872C2211yescharacteristic
50C2×#66871C2211yescharacteristic
51#10622569—21no—
52#10622558—21no—
53C4×(C2×D11)⋊C4—21no—
54#10622546—21no—
55#10622474—24no—
56#10622189C2211yescharacteristic
57#10622189C2211yescharacteristic
58#10622167C2211yescharacteristic
59#10622167C2211yescharacteristic
60#10622167C2211yescharacteristic
61#10622167C2211yescharacteristic
62C23×C4×C11—21no—
63C23×C4×C11C2311yescharacteristic
64C22×C22⋊D11D411yescharacteristic
65C22×C4×D11—21no—
66C22×C4×D11C2311yescharacteristic
67C2×C11×M16—22no—
68C2×C11×M16—22no—
69C2×C11×M16C2×C414yescomplemented
70C22×C8×C11C2311yescharacteristic
71C22×C8×C11C2311yescharacteristic
72C11×#117—22no—
73C11×#117—41no—
74C2×C11×C4⋊C4—22no—
75C2×C11×C4⋊C4—21no—
76C2×C11×C4⋊C4—41no—
77C2×C11×C4⋊C4C2311yescharacteristic
78C2×C11×C4⋊C4C2311yescharacteristic
79C2×C11×C4⋊C4C2311yescharacteristic
80C2×C11×C4⋊C4C2311yescharacteristic
81C2×C11×C22⋊C4—21no—
82C2×C42×C11—21no—
83C2×C22⋊Dic11—21no—
84C2×C22⋊Dic11—21no—
85C2×C22⋊Dic11D411yescharacteristic
86C4×C22⋊D11C2×C414yes—
87C4×C22⋊D11Q814yes—
88C2×(C2×D11)⋊C4—21no—
89C2×(C2×D11)⋊C4—21no—
90C2×(C2×D11)⋊C4—21no—
91C2×(C2×D11)⋊C4D411yescharacteristic
92C2×C4⋊Dic11C2311yescharacteristic
93C2×C4⋊Dic11C2311yescharacteristic
94C2×C4⋊Dic11C2311yescharacteristic
95C2×C4⋊Dic11C2311yescharacteristic
96C2×Dic11⋊C4—21no—
97C2×Dic11⋊C4D411yescharacteristic
98C2×C4×Dic11—21no—
99C2×C4×Dic11—21no—
100C2×C4×Dic11—21no—
101C2×C4×Dic11C2311yescharacteristic
102C22×C11⋊C8C2311yescharacteristic
103C22×C11⋊C8C2311yescharacteristic
104C2×#4313—22no—
105C2×#4313—22no—
106C2×#4313C2×C414yescomplemented
107#66945—22no—
108#66945—41no—
109C4⋊C4×D11—22no—
110C4⋊C4×D11—41no—
111C11×#107—22no—
112C11×#107—22no—
113C11×#106—22no—
114C11×#106D414yescomplemented
115C11⋊#95—21no—
116C11⋊#95—21no—
117C11⋊#95—21no—
118C11⋊#95—21no—
119C11⋊#95—21no—
120C11⋊#95—21no—
121C11⋊#95—21no—
122C11⋊#95—21no—
123C11⋊#95—21no—
124C11⋊#95—21no—
125C22⋊(C11⋊C8)C2×C414yescomplemented
126(C2×D11)⋊C8C2×C414yescomplemented
127#66882—22no—
128#66881—22no—
129Dic11⋊C8C2×C414yescomplemented
130C8×Dic11C2×C414yescomplemented
131#66872—22no—
132#66872—41no—
133#66872—41no—
134#66871—22no—
135#22666—111nomaximal, Sylow
136C24×C11C2×D411yescharacteristic
137C23×D11C2×D411yescharacteristic
138C22×C4×C11—21no—
139C22×C4×C11—21no—
140C22×C4×C11—21no—
141C22×C4×C11—21no—
142C22×C4×C11—21no—
143C22×C4×C11—21no—
144C22×C4×C11—21no—
145C22×C4×C11—21no—
146C22×C4×C11—42no—
147C22×C4×C11—42no—
148C22×C4×C11—81no—
149C22×C4×C11C22×C412yes—
150C22×C4×C11C2×D411yescharacteristic
151C22×C4×C11C2×Q812yes—
152C22×C4×C11C2411yescharacteristic
153C2×C22⋊D11—41no—
154C2×C22⋊D11—41no—
155C2×C22⋊D11C4⋊C414yes—
156C22×Dic11—21no—
157C22×Dic11—21no—
158C22×Dic11—21no—
159C22×Dic11—21no—
160C22×Dic11C2×D411yescharacteristic
161C22×Dic11C2×D411yescharacteristic
162C22×Dic11C2×D411yescharacteristic
163C2×C4×D11—21no—
164C2×C4×D11—21no—
165C2×C4×D11—21no—
166C2×C4×D11—21no—
167C2×C4×D11—42no—
168C2×C4×D11—42no—
169C2×C4×D11—81no—
170C2×C4×D11C22×C412yes—
171C2×C4×D11C2×Q812yes—
172C11×M16—28no—
173C2×C8×C11—21no—
174C2×C8×C11—21no—
175C2×C8×C11C22×C412yes—
176C2×C8×C11C22×C412yes—
177C2×C8×C11C2×D412yes—
178C2×C8×C11#4112yes—
179C11×C4⋊C4—21no—
180C11×C4⋊C4—21no—
181C11×C4⋊C4—21no—
182C11×C4⋊C4—21no—
183C11×C4⋊C4—21no—
184C11×C4⋊C4—21no—
185C11×C4⋊C4—42no—
186C11×C4⋊C4C2×D412yes—
187C11×C4⋊C4C2×D412yes—
188C11×C22⋊C4—42no—
189C42×C11—42no—
190C22⋊Dic11—42no—
191C22⋊Dic11—81no—
192C22⋊Dic11C4⋊C414yes—
193(C2×D11)⋊C4—42no—
194(C2×D11)⋊C4—42no—
195(C2×D11)⋊C4—81no—
196(C2×D11)⋊C4C4⋊C414yes—
197C4⋊Dic11—21no—
198C4⋊Dic11—21no—
199C4⋊Dic11—21no—
200C4⋊Dic11—21no—
201C4⋊Dic11—21no—
202C4⋊Dic11—21no—
203C4⋊Dic11—21no—
204C4⋊Dic11—21no—
205Dic11⋊C4—42no—
206Dic11⋊C4C4⋊C414yes—
207C4×Dic11—42no—
208C4×Dic11—81no—
209C4×Dic11—81no—
210C4×Dic11C22×C412yes—
211C4×Dic11C2×Q812yes—
212C2×C11⋊C8—21no—
213C2×C11⋊C8—21no—
214C2×C11⋊C8—21no—
215C2×C11⋊C8—21no—
216C2×C11⋊C8C22×C412yes—
217C2×C11⋊C8C22×C412yes—
218#4313—28no—
219C2×#436—111no—
220C2×#428—111no—
221C2×#428D1111yescharacteristic, complemented
222#2352—111no—
223#2352—111no—
224#1949—111no—
225#1949—111no—
226#1854—111no—
227#1854—111no—
228#1853—111no—
229#1853—111no—
230#1846—111no—
231#1809—111no—
232#1809—111no—
233C4×#106—111no—
234C23×C11—21no—
235C23×C11—21no—
236C23×C11—21no—
237C23×C11—21no—
238C23×C11—21no—
239C23×C11—21no—
240C23×C11C2×C4⋊C412yes—
241C23×C11C22×D411yescharacteristic
242C22×D11—21no—
243C22×D11—21no—
244C22×D11—21no—
245C22×D11—21no—
246C22×D11—21no—
247C22×D11—21no—
248C22×D11C2×C4⋊C412yes—
249C2×C4×C11—21no—
250C2×C4×C11—21no—
251C2×C4×C11—22no—
252C2×C4×C11—22no—
253C2×C4×C11—22no—
254C2×C4×C11—22no—
255C2×C4×C11—22no—
256C2×C4×C11—22no—
257C2×C4×C11—41no—
258C2×C4×C11—41no—
259C2×C4×C11—41no—
260C2×C4×C11—41no—
261C2×C4×C11—41no—
262C2×C4×C11—41no—
263C2×C4×C11—41no—
264C2×C4×C11—41no—
265C2×C4×C11—41no—
266C2×C4×C11—41no—
267C2×C4×C11—84no—
268C2×C4×C11C2×C4⋊C412yes—
269C2×C4×C11C23×C411yescharacteristic
270C2×C4×C11C22×D411yescharacteristic
271C2×C4×C11C22×Q811yescharacteristic
272C2×C4×C11C2×#4111yescharacteristic
273C2×C4×C11H(5,𝔽2)11yescharacteristic
274C2×C4×C112−1+411yescharacteristic
275C22⋊D11—44no—
276C2×Dic11—21no—
277C2×Dic11—21no—
278C2×Dic11—21no—
279C2×Dic11—21no—
280C2×Dic11—21no—
281C2×Dic11—21no—
282C2×Dic11—41no—
283C2×Dic11—41no—
284C2×Dic11—41no—
285C2×Dic11—41no—
286C2×Dic11—41no—
287C2×Dic11—41no—
288C2×Dic11—41no—
289C2×Dic11—41no—
290C2×Dic11—41no—
291C2×Dic11—41no—
292C2×Dic11—41no—
293C2×Dic11—41no—
294C2×Dic11C2×C4⋊C412yes—
295C2×Dic11C2×C4⋊C412yes—
296C2×Dic11C2×C4⋊C412yes—
297C4×D11—22no—
298C4×D11—22no—
299C4×D11—22no—
300C4×D11—22no—
301C4×D11—84no—
302C8×C11—22no—
303C8×C11C4×D414yes—
304C11⋊C8—22no—
305C11⋊C8—22no—
306C22×M16—111no—
307C22×M16C2×D1111yescharacteristic
308C2×C4×D4—111no—
309C2×#117—111no—
310C2×#117C2×D1111yescharacteristic
311C22×C4⋊C4—111no—
312C22×C4⋊C4C2×D1111yescharacteristic
313#436—118no—
314#428—24no—
315#428—224no—
316C2×#107—111no—
317C2×#107—111no—
318C2×#107C2×D1111yescharacteristic
319C2×#107C2×D1111yescharacteristic
320C2×#106—111no—
321C2×#106—111no—
322C2×#106—111no—
323C2×#106—111no—
324C2×#106C2×D1111yescharacteristic
325C2×#106C2×D1111yescharacteristic
326C2×C4⋊C8—111no—
327C2×C22⋊C8—111no—
328C2×C22⋊C8—111no—
329C2×C4×C8—111no—
330#388—221no—
331#388—221no—
332#387—221no—
333#387—221no—
334#386—221no—
335#386—221no—
336#382—111no—
337#382—111no—
338#380—111no—
339#380—111no—
340#380—111no—
341#380—111no—
342C4×C4⋊C4—111no—
343C4×C4⋊C4—111no—
344C4×C22⋊C4—221no—
345C4×C22⋊C4—221no—
346#340—111no—
347#340—111no—
348#340—111no—
349#340—111no—
350#340—111no—
351#340—111no—
352C22×C11—22no—
353C22×C11—22no—
354C22×C11—22no—
355C22×C11—41no—
356C22×C11—41no—
357C22×C11—41no—
358C22×C11—41no—
359C22×C11C22×C4⋊C411yescharacteristic
360C22×C11D4211yescharacteristic
361C22×C11#54711yescharacteristic
362C22×C11#57511yescharacteristic
363C22×C11#57511yescharacteristic
364C22×C11#57711yescharacteristic
365C22×C11#57711yescharacteristic
366C2×D11—22no—
367C2×D11—22no—
368C2×D11—22no—
369C2×D11—41no—
370C2×D11—41no—
371C2×D11—41no—
372C2×D11—41no—
373C4×C11—22no—
374C4×C11—42no—
375C4×C11—42no—
376C4×C11—81no—
377C4×C11—81no—
378C4×C11C2×C4×D411yescharacteristic
379C4×C11#52011yescharacteristic
380C4×C11D4×Q811yescharacteristic
381C4×C11#55411yescharacteristic
382Dic11—22no—
383Dic11—22no—
384Dic11—22no—
385Dic11—81no—
386Dic11—81no—
387Dic11—81no—
388Dic11—81no—
389C22×D4—111no—
390C23×C4—21no—
391C23×C4—111no—
392C23×C4—221no—
393C23×C4C22×D1111yescharacteristic
394C2×M16—22no—
395C2×M16—22no—
396C2×M16—114no—
397C2×M16—222no—
398C2×M16—222no—
399C2×M16C4×D1114yescomplemented
400C22×C8—111no—
401C22×C8—111no—
402C22×C8C22×D1111yescharacteristic
403C22×C8C22×D1111yescharacteristic
404C4×D4—114no—
405C4×D4—114no—
406#117—22no—
407#117—41no—
408#117—222no—
409#117—441no—
410C2×C4⋊C4—22no—
411C2×C4⋊C4—21no—
412C2×C4⋊C4—41no—
413C2×C4⋊C4—111no—
414C2×C4⋊C4—111no—
415C2×C4⋊C4—111no—
416C2×C4⋊C4—111no—
417C2×C4⋊C4—111no—
418C2×C4⋊C4—222no—
419C2×C4⋊C4—221no—
420C2×C4⋊C4—441no—
421C2×C4⋊C4C22×D1111yescharacteristic
422C2×C4⋊C4C22×D1111yescharacteristic
423C2×C4⋊C4C22×D1111yescharacteristic
424C2×C4⋊C4C22×D1111yescharacteristic
425C2×C22⋊C4—21no—
426C2×C22⋊C4—111no—
427C2×C22⋊C4—111no—
428C2×C22⋊C4—221no—
429C2×C22⋊C4—221no—
430C2×C22⋊C4—221no—
431C2×C22⋊C4—221no—
432C2×C22⋊C4—221no—
433C2×C42—21no—
434C2×C42—111no—
435C2×C42—221no—
436C2×C42—221no—
437C2×C42—221no—
438#107—22no—
439#107—22no—
440#107—222no—
441#107—222no—
442#106—22no—
443#106—222no—
444#106—222no—
445#106—441no—
446#106—441no—
447#106C22⋊D1114yescomplemented
448C4⋊C8—114no—
449C22⋊C8—114no—
450C22⋊C8—114no—
451C4×C8—114no—
452#95—221no—
453#95—221no—
454#95—221no—
455#95—221no—
456#95—221no—
457#95—221no—
458#95—221no—
459#95—221no—
460#95—221no—
461#95—221no—
462C2×C11—42no—
463C2×C11D4×C4⋊C411yescharacteristic
464C2×C11#291111yescharacteristic
465C2×C11#291211yescharacteristic
466C2×C11#327511yescharacteristic
467C2×C11#327511yescharacteristic
468C2×C11#335111yescharacteristic
469C2×C11#335111yescharacteristic
470D11—42no—
471C24—111no—
472C24D4×D1111yescharacteristic
473C2×D4—114no—
474C2×D4—441no—
475C2×D4—441no—
476C22×C4—21no—
477C22×C4—21no—
478C22×C4—21no—
479C22×C4—21no—
480C22×C4—21no—
481C22×C4—21no—
482C22×C4—21no—
483C22×C4—21no—
484C22×C4—42no—
485C22×C4—42no—
486C22×C4—81no—
487C22×C4—111no—
488C22×C4—111no—
489C22×C4—111no—
490C22×C4—112no—
491C22×C4—112no—
492C22×C4—221no—
493C22×C4—221no—
494C22×C4—221no—
495C22×C4—221no—
496C22×C4—221no—
497C22×C4—221no—
498C22×C4—221no—
499C22×C4—221no—
500C22×C4—442no—
501C22×C4—442no—
502C22×C4—881no—
503C22×C4C2×C4×D1112yes—
504C22×C4D4×D1111yescharacteristic
505C22×C4Q8×D1112yes—
506C22×C4C23×D1111yescharacteristic
507M16—28no—
508M16—228no—
509C2×C8—21no—
510C2×C8—21no—
511C2×C8—112no—
512C2×C8—112no—
513C2×C8—221no—
514C2×C8—221no—
515C2×C8—221no—
516C2×C8—221no—
517C2×C8C2×C4×D1112yes—
518C2×C8C2×C4×D1112yes—
519C2×C8#433912yes—
520C2×C8C2×C22⋊D1112yes—
521C4⋊C4—21no—
522C4⋊C4—21no—
523C4⋊C4—21no—
524C4⋊C4—21no—
525C4⋊C4—21no—
526C4⋊C4—21no—
527C4⋊C4—42no—
528C4⋊C4—114no—
529C4⋊C4—221no—
530C4⋊C4—221no—
531C4⋊C4—221no—
532C4⋊C4—221no—
533C4⋊C4—221no—
534C4⋊C4—221no—
535C4⋊C4—221no—
536C4⋊C4—221no—
537C4⋊C4—442no—
538C4⋊C4C2×C22⋊D1112yes—
539C4⋊C4C2×C22⋊D1112yes—
540C22⋊C4—42no—
541C22⋊C4—114no—
542C22⋊C4—114no—
543C22⋊C4—442no—
544C22⋊C4—442no—
545C22⋊C4—442no—
546C22⋊C4—881no—
547C22⋊C4—881no—
548C42—42no—
549C42—112no—
550C42—112no—
551C42—442no—
552C42—881no—
553C42—881no—
554C11#2266611yescharacteristic, complemented, Sylow
555C23—21no—
556C23—21no—
557C23—21no—
558C23—21no—
559C23—21no—
560C23—21no—
561C23—112no—
562C23—221no—
563C23—221no—
564C23—221no—
565C23—221no—
566C23—221no—
567C23—221no—
568C23C4⋊C4×D1112yes—
569C23C2×D4×D1111yescharacteristic
570D4—444no—
571C2×C4—21no—
572C2×C4—21no—
573C2×C4—22no—
574C2×C4—22no—
575C2×C4—22no—
576C2×C4—22no—
577C2×C4—22no—
578C2×C4—22no—
579C2×C4—41no—
580C2×C4—41no—
581C2×C4—41no—
582C2×C4—41no—
583C2×C4—41no—
584C2×C4—41no—
585C2×C4—41no—
586C2×C4—41no—
587C2×C4—41no—
588C2×C4—41no—
589C2×C4—84no—
590C2×C4—112no—
591C2×C4—112no—
592C2×C4—112no—
593C2×C4—221no—
594C2×C4—221no—
595C2×C4—221no—
596C2×C4—221no—
597C2×C4—221no—
598C2×C4—221no—
599C2×C4—222no—
600C2×C4—222no—
601C2×C4—222no—
602C2×C4—222no—
603C2×C4—441no—
604C2×C4—441no—
605C2×C4—441no—
606C2×C4—441no—
607C2×C4—441no—
608C2×C4—441no—
609C2×C4—441no—
610C2×C4—441no—
611C2×C4—441no—
612C2×C4—441no—
613C2×C4—441no—
614C2×C4—441no—
615C2×C4—884no—
616C2×C4C4⋊C4×D1112yes—
617C2×C4C22×C4×D1111yescharacteristic
618C2×C4C2×#433911yescharacteristic
619C2×C4#6703711yescharacteristic
620C2×C4C2×Q8×D1111yescharacteristic
621C2×C4#6704011yescharacteristic
622C2×C4C22×C22⋊D1111yescharacteristic
623C8—22no—
624C8—222no—
625C8—222no—
626C8C4×C22⋊D1114yes—
627C22—22no—
628C22—22no—
629C22—22no—
630C22—41no—
631C22—41no—
632C22—41no—
633C22—41no—
634C22—222no—
635C22—222no—
636C22—222no—
637C22—441no—
638C22—441no—
639C22—441no—
640C22—441no—
641C22C2×C4⋊C4×D1111yescharacteristic
642C22#1062303811yescharacteristic
643C22#1062330411yescharacteristic
644C22#1062330611yescharacteristic
645C22#1062330811yescharacteristic
646C22#1062330911yescharacteristic
647C22D4×C22⋊D1111yescharacteristic
648C4—22no—
649C4—42no—
650C4—42no—
651C4—81no—
652C4—81no—
653C4—222no—
654C4—222no—
655C4—222no—
656C4—881no—
657C4—881no—
658C4—881no—
659C4—881no—
660C4#1062303511yescharacteristic
661C4#1062304211yescharacteristic
662C4C2×C4×C22⋊D1111yescharacteristic
663C4Q8×C22⋊D1111yescharacteristic
664C2—42no—
665C2—442no—
666C2C4⋊C4×C22⋊D1111yescharacteristic
667C2#1307720311yescharacteristic
668C2#1307721011yescharacteristic
669C2#1308024111yescharacteristic
670C2#1308024711yescharacteristic
671C2#1308117211yescharacteristic
672C2#1308117711yescharacteristic
subgroupG/H
centerC23C2×D4×D11
commutatorC2×C4×C11C23×C4
FrattiniC22×C4C23×D11
FittingC2×C11×#428C2
socleC23×C11C22×D4
prime radicalC22×C22⋊D11D4
cosocleC22×C4×C11C24
hypercenterC2×#428D11
hypocenterC11#22666
LCSG ▷ C2×C4×C11 ▷ C2×C11 ▷ C11
UCSC1 ◁ C23 ◁ C23×C4 ◁ C2×#428

Complements

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

NH ≅ G/Ntype
2. C2×#10622474C2semidirect
5. #13069385C2semidirect
6. #13069381C2semidirect
7. #13068815C2semidirect
8. #13068812C2semidirect
9. #13068809C2semidirect
10. #13068807C2semidirect
11. #13068779C2semidirect
12. #13068650C2semidirect
13. #13068649C2semidirect
14. #106×Dic11C2semidirect
15. C2×C11×#428C2semidirect
33. #10622741C4semidirect
69. C2×C11×M16C2×C4semidirect
106. C2×#4313C2×C4semidirect
114. C11×#106D4semidirect
125. C22⋊(C11⋊C8)C2×C4semidirect
126. (C2×D11)⋊C8C2×C4semidirect
129. Dic11⋊C8C2×C4semidirect
130. C8×Dic11C2×C4semidirect
221. C2×#428D11semidirect
399. C2×M16C4×D11semidirect
447. #106C22⋊D11semidirect
554. C11#22666semidirect

Maximal subgroups

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

subgroupindex
C2×#106227412
C2×#106224742
#130715462
#130715412
#130693852
#130693812
#130688152
#130688122
#130688092
#130688072
#130687792
#130686502
#130686492
#106×Dic112
C2×C11×#4282
#2266611