Finite Group Databasebeta

← #14719962

Subgroups — #14719962

Order 2816.

1046 conjugacy classes of subgroups.

The subgroup lattice has 720 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#10623026C211yesmaximal, characteristic
2#13077270C212yesmaximal, complemented
3#13066982C212yesmaximal, complemented
4#13066966C212yesmaximal, complemented
5#13066962C212yesmaximal, complemented
6#13066955C211yesmaximal, characteristic, complemented
7#13066947C211yesmaximal, characteristic, complemented
8#13066943C211yesmaximal, characteristic, complemented
9#13066935C211yesmaximal, characteristic, complemented
10#13066927C211yesmaximal, characteristic, complemented
11C2×C11×#323C211yesmaximal, characteristic, complemented
12C22×C11×C22⋊C4C2211yescharacteristic
13C2×#67006C411yescharacteristic
14C22×C22⋊Dic11C411yescharacteristic
15C2×#66982C2211yescharacteristic
16C2×C4×C22⋊D11C411yescharacteristic
17C2×#66979C2211yescharacteristic
18C2×#66977C411yescharacteristic
19#10623026—22no—
20#10623026—22no—
21#10623026—22no—
22#10623026—22no—
23C2×#66939C411yescharacteristic
24C2×#66938C2211yescharacteristic
25C2×#66936C411yescharacteristic
26C2×(C22⋊D11)⋊C4C2211yescharacteristic
27C2×#66932C411yescharacteristic
28C2×#66932C2211yescharacteristic
29C2×#66931C411yescharacteristic
30C2×#66930C2211yescharacteristic
31C2×C11×C22⋊C8C2212yes—
32#10622820C2212yes—
33#10622715—22no—
34#10622714—22no—
35#10622333—22no—
36#10622333—22no—
37#10622332C2212yescomplemented
38#10622332C2212yescomplemented
39#10622331C2212yescomplemented
40#10622331C2212yescomplemented
41C11×#323C2211yescharacteristic
42C11×#323C2211yescharacteristic
43C11×#323C2212yes—
44#10622163C2211yescharacteristic
45#10622163C2211yescharacteristic
46#10622163C2212yes—
47#10622107C2212yescomplemented
48#10622107C2212yescomplemented
49#10622106C2212yescomplemented
50#10622106C2212yescomplemented
51C25×C11C2×C411yescharacteristic
52C23×C4×C11C2×C411yescharacteristic
53C23×C4×C11C2311yescharacteristic
54C22×C22⋊D11C2×C411yescharacteristic
55C22×C22⋊D11C2×C411yescharacteristic
56C22×C22⋊D11C2×C411yescharacteristic
57C23×Dic11C2×C411yescharacteristic
58C23×Dic11C2×C411yescharacteristic
59C22×C4×D11C2×C411yescharacteristic
60C22×Dic22C2×C411yescharacteristic
61C22×C8×C11—22no—
62C2×C11×C22⋊C4—22no—
63C2×C11×C22⋊C4—22no—
64C2×C11×C22⋊C4C2×C411yescharacteristic
65C2×C11×C22⋊C4C2×C411yescharacteristic
66C2×C11×C22⋊C4C2311yescharacteristic
67C2×C11×C22⋊C4C2311yescharacteristic
68#67006—22no—
69#67006—22no—
70C2×C22⋊Dic11—21no—
71C2×C22⋊Dic11—21no—
72C2×C22⋊Dic11—21no—
73C2×C22⋊Dic11—21no—
74C2×C22⋊Dic11C2×C411yescharacteristic
75C2×C22⋊Dic11C2×C411yescharacteristic
76C2×C22⋊Dic11C2×C411yescharacteristic
77C2×C22⋊Dic11C2×C411yescharacteristic
78C2×C22⋊Dic11C2×C411yescharacteristic
79C2×C22⋊Dic11C2×C411yescharacteristic
80C2×C22⋊Dic11C2×C411yescharacteristic
81#66982—22no—
82#66982—22no—
83C4×C22⋊D11—21no—
84C4×C22⋊D11—21no—
85C4×C22⋊D11—21no—
86C4×C22⋊D11—21no—
87C2×(C2×D11)⋊C4C2×C411yescharacteristic
88C2×(C2×D11)⋊C4C2×C411yescharacteristic
89C2×(C2×D11)⋊C4C2311yescharacteristic
90#66979D412yes—
91#66979D412yes—
92#66979D412yes—
93#66979D412yes—
94C2×C4⋊Dic11C2×C411yescharacteristic
95C2×C4⋊Dic11C2×C411yescharacteristic
96C2×C4⋊Dic11C2×C411yescharacteristic
97#66977—22no—
98#66977—22no—
99C2×Dic11⋊C4C2×C411yescharacteristic
100C2×Dic11⋊C4C2×C411yescharacteristic
101C2×Dic11⋊C4C2×C411yescharacteristic
102C2×Dic11⋊C4C2×C411yescharacteristic
103C2×Dic11⋊C4C2311yescharacteristic
104C2×C4×Dic11C2×C411yescharacteristic
105C2×C4×Dic11C2311yescharacteristic
106C2×C4×Dic11C2311yescharacteristic
107C2×#4318—22no—
108#66939—22no—
109#66939—22no—
110#66938—22no—
111#66938—22no—
112#66936—22no—
113#66936—22no—
114(C22⋊D11)⋊C4—22no—
115(C22⋊D11)⋊C4—22no—
116#66932—22no—
117#66932—22no—
118#66932—22no—
119#66932—22no—
120#66931—22no—
121#66931—22no—
122#66930—22no—
123#66930—22no—
124C11×C22⋊C8—22no—
125C11×C22⋊C8C2312yes—
126C11×C22⋊C8C2312yes—
127C22⋊(C11⋊C8)—22no—
128C22⋊(C11⋊C8)C2312yes—
129C22⋊(C11⋊C8)C2312yes—
130#66879—22no—
131#66879—22no—
132Dic11⋊C8—22no—
133Dic11⋊C8—22no—
134Dic11⋊C8—22no—
135Dic11⋊C8—22no—
136C8×Dic11—22no—
137C8×Dic11—22no—
138#17412—111nomaximal, Sylow
139C24×C11—21no—
140C24×C11—21no—
141C24×C11—22no—
142C24×C11—41no—
143C24×C11—42no—
144C24×C11—81no—
145C24×C11C22×C411yescharacteristic
146C24×C11C22×C411yescharacteristic
147C24×C11C22×C411yescharacteristic
148C23×D11C22×C411yescharacteristic
149C22×C4×C11—21no—
150C22×C4×C11—21no—
151C22×C4×C11—42no—
152C22×C4×C11—81no—
153C22×C4×C11C22×C411yescharacteristic
154C22×C4×C11C22×C411yescharacteristic
155C22×C4×C11C22×C411yescharacteristic
156C22×C4×C11C2×D412yes—
157C22×C4×C11C2×D412yes—
158C22×C4×C11C2411yescharacteristic
159C2×C22⋊D11—22no—
160C2×C22⋊D11—22no—
161C2×C22⋊D11—21no—
162C2×C22⋊D11—21no—
163C2×C22⋊D11—22no—
164C2×C22⋊D11—41no—
165C2×C22⋊D11—42no—
166C2×C22⋊D11—81no—
167C22×Dic11—21no—
168C22×Dic11—21no—
169C22×Dic11—21no—
170C22×Dic11—21no—
171C22×Dic11—22no—
172C22×Dic11—41no—
173C22×Dic11—81no—
174C22×Dic11C22×C411yescharacteristic
175C22×Dic11C22×C411yescharacteristic
176C22×Dic11C22×C411yescharacteristic
177C22×Dic11C22×C411yescharacteristic
178C22×Dic11C22×C411yescharacteristic
179C22×Dic11C22×C411yescharacteristic
180C22×Dic11C22×C411yescharacteristic
181C2×C4×D11—21no—
182C2×C4×D11—21no—
183C2×C4×D11—81no—
184C2×Dic22—22no—
185C2×Dic22—81no—
186C2×C8×C11—22no—
187C2×C8×C11—22no—
188C2×C8×C11—44no—
189C11×C22⋊C4—22no—
190C11×C22⋊C4—22no—
191C11×C22⋊C4—22no—
192C11×C22⋊C4—22no—
193C22⋊Dic11—22no—
194C22⋊Dic11—22no—
195C22⋊Dic11—21no—
196C22⋊Dic11—21no—
197C22⋊Dic11—21no—
198C22⋊Dic11—21no—
199C22⋊Dic11—21no—
200C22⋊Dic11—21no—
201C22⋊Dic11C22⋊C412yes—
202C22⋊Dic11C22⋊C412yes—
203C22⋊Dic11C22⋊C411yescharacteristic
204C22⋊Dic11C22⋊C411yescharacteristic
205C22⋊Dic11C22⋊C411yescharacteristic
206C22⋊Dic11C22⋊C411yescharacteristic
207(C2×D11)⋊C4—21no—
208(C2×D11)⋊C4—21no—
209(C2×D11)⋊C4—22no—
210(C2×D11)⋊C4—22no—
211C4⋊Dic11—22no—
212C4⋊Dic11C22⋊C412yes—
213C4⋊Dic11C22⋊C412yes—
214C4⋊Dic11C22⋊C412yes—
215C4⋊Dic11C22⋊C412yes—
216Dic11⋊C4—22no—
217Dic11⋊C4—21no—
218Dic11⋊C4—21no—
219Dic11⋊C4—22no—
220Dic11⋊C4—22no—
221Dic11⋊C4—22no—
222C4×Dic11—21no—
223C4×Dic11—21no—
224C4×Dic11C2×D412yes—
225C4×Dic11C2×D412yes—
226C4×Dic11C2×D412yes—
227C4×Dic11C2×D412yes—
228#4318—44no—
229C2×C11⋊C8—22no—
230C2×C11⋊C8—22no—
231C2×#551—111no—
232#2924—112no—
233#1473—112no—
234#1469—112no—
235#1468—112no—
236#1466—111no—
237#1464—111no—
238#1462—111no—
239#1460—111no—
240#1458—111no—
241C2×#323D1111yescharacteristic, complemented
242C23×C11—21no—
243C23×C11—21no—
244C23×C11—21no—
245C23×C11—21no—
246C23×C11—22no—
247C23×C11—21no—
248C23×C11—21no—
249C23×C11—21no—
250C23×C11—41no—
251C23×C11—42no—
252C23×C11—42no—
253C23×C11—41no—
254C23×C11—41no—
255C23×C11—42no—
256C23×C11—41no—
257C23×C11—41no—
258C23×C11—42no—
259C23×C11—81no—
260C23×C11—81no—
261C23×C11—84no—
262C23×C11—84no—
263C23×C11C2×C22⋊C411yescharacteristic
264C23×C11C2×C22⋊C411yescharacteristic
265C23×C11#13112yes—
266C23×C11C23×C411yescharacteristic
267C22×D11—21no—
268C22×D11—21no—
269C22×D11—21no—
270C22×D11—41no—
271C22×D11—41no—
272C2×C4×C11—24no—
273C2×C4×C11—21no—
274C2×C4×C11—21no—
275C2×C4×C11—41no—
276C2×C4×C11—42no—
277C2×C4×C11—41no—
278C2×C4×C11—41no—
279C2×C4×C11—41no—
280C2×C4×C11—81no—
281C2×C4×C11—81no—
282C2×C4×C11C2×C22⋊C412yes—
283C2×C4×C11C22×D412yes—
284C22⋊D11—44no—
285C22⋊D11—42no—
286C22⋊D11—42no—
287C22⋊D11—82no—
288C2×Dic11—21no—
289C2×Dic11—21no—
290C2×Dic11—21no—
291C2×Dic11—21no—
292C2×Dic11—21no—
293C2×Dic11—21no—
294C2×Dic11—21no—
295C2×Dic11—21no—
296C2×Dic11—21no—
297C2×Dic11—41no—
298C2×Dic11—41no—
299C2×Dic11—42no—
300C2×Dic11—42no—
301C2×Dic11—41no—
302C2×Dic11—41no—
303C2×Dic11—81no—
304C2×Dic11—81no—
305C2×Dic11C2×C22⋊C411yescharacteristic
306C2×Dic11C2×C22⋊C411yescharacteristic
307C2×Dic11C2×C22⋊C412yes—
308C2×Dic11C2×C22⋊C412yes—
309C2×Dic11C2×C22⋊C411yescharacteristic
310C2×Dic11C2×C22⋊C411yescharacteristic
311C4×D11—81no—
312C4×D11—81no—
313Dic22—82no—
314C8×C11—42no—
315C8×C11—42no—
316C11⋊C8—42no—
317C11⋊C8—42no—
318#551—222no—
319#551—222no—
320#551—222no—
321#551—222no—
322C2×#126—111no—
323C2×#126—111no—
324C2×#124—111no—
325C2×#123—111no—
326C2×#123—111no—
327C2×#123—111no—
328C2×C22⋊Q8—111no—
329C2×C22⋊Q8—111no—
330C2×#120—111no—
331C2×C4×D4—111no—
332C2×C4×D4—111no—
333C2×#117—111no—
334C2×#117—111no—
335C22×C22⋊C4—111no—
336C22×C22⋊C4C2×D1111yescharacteristic
337#433—222no—
338#433—222no—
339#432—112no—
340#432—112no—
341#431—112no—
342#431—112no—
343#424—222no—
344#407—112no—
345C2×C22⋊C8C2×D1112yes—
346#405—222no—
347#324—112no—
348#324—112no—
349#323—111no—
350#323—111no—
351#323—112no—
352#323—112no—
353#323—112no—
354#323C2×D1111yescharacteristic
355#323C2×D1111yescharacteristic
356#323C2×D1112yes—
357C22×C11—21no—
358C22×C11—21no—
359C22×C11—21no—
360C22×C11—21no—
361C22×C11—21no—
362C22×C11—22no—
363C22×C11—21no—
364C22×C11—21no—
365C22×C11—42no—
366C22×C11—42no—
367C22×C11—42no—
368C22×C11—42no—
369C22×C11—41no—
370C22×C11—41no—
371C22×C11—41no—
372C22×C11—41no—
373C22×C11—41no—
374C22×C11—84no—
375C22×C11—81no—
376C22×C11—81no—
377C22×C11—84no—
378C22×C11#41012yes—
379C22×C11C22×C22⋊C411yescharacteristic
380C22×C11C2×#13111yescharacteristic
381C22×C11#56811yescharacteristic
382C2×D11—41no—
383C2×D11—41no—
384C2×D11—41no—
385C2×D11—81no—
386C2×D11—81no—
387C4×C11—22no—
388C4×C11—22no—
389C4×C11—41no—
390C4×C11—41no—
391Dic11—21no—
392Dic11—21no—
393Dic11—22no—
394Dic11—22no—
395Dic11—21no—
396Dic11—21no—
397Dic11—41no—
398Dic11—41no—
399Dic11—41no—
400C25C4×D1111yescharacteristic
401C22×Q8—111no—
402C22×D4—111no—
403C22×D4—111no—
404C22×D4—111no—
405C23×C4—111no—
406C23×C4—111no—
407C23×C4—111no—
408C23×C4C4×D1111yescharacteristic
409C23×C4C22×D1111yescharacteristic
410C2×M16—222no—
411C22×C8—22no—
412#126—222no—
413#126—222no—
414#126—222no—
415#126—222no—
416#124—222no—
417#124—222no—
418#123—222no—
419#123—222no—
420#123—222no—
421#123—222no—
422#123—222no—
423#123—222no—
424C22⋊Q8—222no—
425C22⋊Q8—222no—
426C22⋊Q8—222no—
427C22⋊Q8—222no—
428#120—222no—
429#120—222no—
430C4×D4—222no—
431C4×D4—222no—
432C4×D4—221no—
433C4×D4—221no—
434C4×D4—221no—
435C4×D4—221no—
436#117—112no—
437#117—112no—
438#117—112no—
439#117—112no—
440#117—222no—
441#117—222no—
442C2×C4⋊C4—111no—
443C2×C4⋊C4—111no—
444C2×C4⋊C4—111no—
445C2×C4⋊C4—111no—
446C2×C4⋊C4—111no—
447C2×C4⋊C4—111no—
448C2×C4⋊C4—111no—
449C2×C4⋊C4—111no—
450C2×C22⋊C4—22no—
451C2×C22⋊C4—22no—
452C2×C22⋊C4—111no—
453C2×C22⋊C4—111no—
454C2×C22⋊C4—111no—
455C2×C22⋊C4—111no—
456C2×C22⋊C4—111no—
457C2×C22⋊C4—111no—
458C2×C22⋊C4—111no—
459C2×C22⋊C4—111no—
460C2×C22⋊C4—111no—
461C2×C22⋊C4—111no—
462C2×C22⋊C4—221no—
463C2×C22⋊C4—221no—
464C2×C22⋊C4—221no—
465C2×C22⋊C4—221no—
466C2×C22⋊C4C4×D1111yescharacteristic
467C2×C22⋊C4C4×D1111yescharacteristic
468C2×C22⋊C4C22×D1111yescharacteristic
469C2×C22⋊C4C22×D1111yescharacteristic
470C2×C42—111no—
471C2×C42—111no—
472C2×C42—111no—
473C4⋊C8—222no—
474C4⋊C8—222no—
475C4⋊C8—222no—
476C4⋊C8—222no—
477C22⋊C8—22no—
478C22⋊C8—112no—
479C22⋊C8—112no—
480C22⋊C8—222no—
481C22⋊C8C22×D1112yes—
482C22⋊C8C22×D1112yes—
483#97—222no—
484#97—222no—
485C4×C8—222no—
486C4×C8—222no—
487C2×C11—21no—
488C2×C11—21no—
489C2×C11—22no—
490C2×C11—41no—
491C2×C11—42no—
492C2×C11—81no—
493C2×C11#288011yescharacteristic
494C2×C11C2×#41011yescharacteristic
495C2×C11#288811yescharacteristic
496D11—81no—
497C24—21no—
498C24—21no—
499C24—22no—
500C24—41no—
501C24—42no—
502C24—81no—
503C24—111no—
504C24C2×C4×D1111yescharacteristic
505C24C2×C4×D1111yescharacteristic
506C24C2×C4×D1111yescharacteristic
507C2×Q8—222no—
508C2×Q8—881no—
509C2×D4—222no—
510C2×D4—222no—
511C2×D4—221no—
512C2×D4—221no—
513C2×D4—222no—
514C2×D4—441no—
515C2×D4—442no—
516C2×D4—881no—
517C22×C4—21no—
518C22×C4—21no—
519C22×C4—42no—
520C22×C4—81no—
521C22×C4—111no—
522C22×C4—111no—
523C22×C4—111no—
524C22×C4—111no—
525C22×C4—111no—
526C22×C4—111no—
527C22×C4—111no—
528C22×C4—221no—
529C22×C4—221no—
530C22×C4—221no—
531C22×C4—221no—
532C22×C4—221no—
533C22×C4—221no—
534C22×C4—222no—
535C22×C4—441no—
536C22×C4—881no—
537C22×C4—881no—
538C22×C4C2×C4×D1111yescharacteristic
539C22×C4C2×C4×D1111yescharacteristic
540C22×C4C2×C4×D1111yescharacteristic
541C22×C4D4×D1112yes—
542C22×C4D4×D1112yes—
543C22×C4C23×D1111yescharacteristic
544M16—444no—
545C2×C8—22no—
546C2×C8—22no—
547C2×C8—44no—
548C2×C8—222no—
549C2×C8—222no—
550C4⋊C4—112no—
551C4⋊C4—112no—
552C4⋊C4—112no—
553C4⋊C4—112no—
554C4⋊C4—222no—
555C4⋊C4—222no—
556C4⋊C4—221no—
557C4⋊C4—221no—
558C4⋊C4—222no—
559C4⋊C4—222no—
560C4⋊C4—222no—
561C22⋊C4—22no—
562C22⋊C4—22no—
563C22⋊C4—22no—
564C22⋊C4—22no—
565C22⋊C4—111no—
566C22⋊C4—111no—
567C22⋊C4—111no—
568C22⋊C4—111no—
569C22⋊C4—112no—
570C22⋊C4—112no—
571C22⋊C4—221no—
572C22⋊C4—221no—
573C22⋊C4—221no—
574C22⋊C4—221no—
575C22⋊C4—221no—
576C22⋊C4—221no—
577C22⋊C4—222no—
578C22⋊C4—222no—
579C22⋊C4—221no—
580C22⋊C4—221no—
581C22⋊C4—222no—
582C22⋊C4—222no—
583C42—112no—
584C42—112no—
585C42—112no—
586C42—112no—
587C42—221no—
588C42—221no—
589C11#1741211yescharacteristic, complemented, Sylow
590C23—21no—
591C23—21no—
592C23—21no—
593C23—21no—
594C23—22no—
595C23—21no—
596C23—21no—
597C23—21no—
598C23—41no—
599C23—42no—
600C23—42no—
601C23—41no—
602C23—41no—
603C23—42no—
604C23—41no—
605C23—41no—
606C23—42no—
607C23—81no—
608C23—81no—
609C23—84no—
610C23—84no—
611C23—221no—
612C23—221no—
613C23—221no—
614C23—441no—
615C23—441no—
616C23C22⋊C4×D1111yescharacteristic
617C23C22⋊C4×D1111yescharacteristic
618C23#6695412yes—
619C23C22×C4×D1111yescharacteristic
620Q8—882no—
621D4—444no—
622D4—442no—
623D4—442no—
624D4—882no—
625C2×C4—24no—
626C2×C4—21no—
627C2×C4—21no—
628C2×C4—41no—
629C2×C4—42no—
630C2×C4—41no—
631C2×C4—41no—
632C2×C4—41no—
633C2×C4—81no—
634C2×C4—81no—
635C2×C4—111no—
636C2×C4—111no—
637C2×C4—112no—
638C2×C4—111no—
639C2×C4—111no—
640C2×C4—112no—
641C2×C4—221no—
642C2×C4—221no—
643C2×C4—221no—
644C2×C4—221no—
645C2×C4—221no—
646C2×C4—221no—
647C2×C4—221no—
648C2×C4—221no—
649C2×C4—221no—
650C2×C4—441no—
651C2×C4—441no—
652C2×C4—442no—
653C2×C4—442no—
654C2×C4—441no—
655C2×C4—441no—
656C2×C4—881no—
657C2×C4—881no—
658C2×C4—881no—
659C2×C4—881no—
660C2×C4C22⋊C4×D1112yes—
661C2×C4C2×D4×D1112yes—
662C8—42no—
663C8—42no—
664C8—442no—
665C8—442no—
666C22—21no—
667C22—21no—
668C22—21no—
669C22—21no—
670C22—22no—
671C22—21no—
672C22—21no—
673C22—21no—
674C22—42no—
675C22—42no—
676C22—42no—
677C22—42no—
678C22—41no—
679C22—41no—
680C22—41no—
681C22—41no—
682C22—41no—
683C22—84no—
684C22—81no—
685C22—81no—
686C22—84no—
687C22—441no—
688C22—441no—
689C22—441no—
690C22—881no—
691C22—881no—
692C22#1062235312yes—
693C22C2×C22⋊C4×D1111yescharacteristic
694C22C2×#6695411yescharacteristic
695C22#1062327611yescharacteristic
696C4—22no—
697C4—22no—
698C4—41no—
699C4—41no—
700C4—221no—
701C4—221no—
702C4—222no—
703C4—221no—
704C4—221no—
705C4—222no—
706C4—441no—
707C4—441no—
708C4—441no—
709C2—21no—
710C2—21no—
711C2—22no—
712C2—41no—
713C2—42no—
714C2—81no—
715C2—881no—
716C2#1307706211yescharacteristic
717C2C2×#1062235311yescharacteristic
718C2#1307709211yescharacteristic
subgroupG/H
centerC22C2×C22⋊C4×D11
commutatorC23×C11C23×C4
FrattiniC22×C4C23×D11
FittingC2×C11×#323C2
socleC22×C11C22×C22⋊C4
prime radicalC2×#67006C4
cosocleC22×C4×C11C24
hypercenterC2×#323D11
hypocenterC11#17412
LCSG ▷ C23×C11 ▷ C2×C11 ▷ C11
UCSC1 ◁ C22 ◁ C23×C4 ◁ C2×#323

Complements

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

NH ≅ G/Ntype
2. #13077270C2semidirect
3. #13066982C2semidirect
4. #13066966C2semidirect
5. #13066962C2semidirect
6. #13066955C2semidirect
7. #13066947C2semidirect
8. #13066943C2semidirect
9. #13066935C2semidirect
10. #13066927C2semidirect
11. C2×C11×#323C2semidirect
37. #10622332C22semidirect
38. #10622332C22semidirect
39. #10622331C22semidirect
40. #10622331C22semidirect
47. #10622107C22semidirect
48. #10622107C22semidirect
49. #10622106C22semidirect
50. #10622106C22semidirect
241. C2×#323D11semidirect
589. C11#17412semidirect

Maximal subgroups

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

subgroupindex
C2×#106230262
#130772702
#130669822
#130669662
#130669622
#130669552
#130669472
#130669432
#130669352
#130669272
C2×C11×#3232
#1741211