Finite Group Databasebeta

← C2×#13079785 #15625804

Subgroups — C2×#13079785 #15625804

Order 2816.

1822 conjugacy classes of subgroups.

The subgroup lattice has 702 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#10623222C211yesmaximal, characteristic
2C2×D11×#125C211yesmaximal, characteristic, complemented
3#13079785C2116yesmaximal, direct product factor
4C2×#10622677C211yesmaximal, characteristic, complemented
5C2×#10622681C211yesmaximal, characteristic, complemented
6C2×#10622310C211yesmaximal, characteristic, complemented
7C2×#10622497C211yesmaximal, characteristic, complemented
8C2×#10622476C211yesmaximal, characteristic
9C2×#10622475C211yesmaximal, characteristic, complemented
10C2×#10622495C211yesmaximal, characteristic
11C2×#10622470C211yesmaximal, characteristic, complemented
12C2×#10622490C211yesmaximal, characteristic, complemented
13C2×#10622504C211yesmaximal, characteristic, complemented
14C2×#10622484C211yesmaximal, characteristic, complemented
15C2×#10622298C211yesmaximal, characteristic, complemented
16C2×C11×#499C211yesmaximal, characteristic, complemented
17C2×C11×#125C2211yescharacteristic
18C2×C11×#125C2211yescharacteristic
19#10623222—24no—
20#10623222C2218yes—
21D11×#125—24no—
22D11×#125C2218yescomplemented
23C2×#66951—21no—
24C2×#66950C2211yescharacteristic
25C2×#66948C2211yescharacteristic
26C2×#66947—21no—
27C2×#66946—21no—
28C2×#66946C2211yescharacteristic
29C2×#66945—21no—
30C2×C4⋊C4×D11—21no—
31C2×C4⋊C4×D11—21no—
32C2×C4⋊C4×D11C2211yescharacteristic
33C2×C4⋊C4×D11C2211yescharacteristic
34C2×#66943C2211yescharacteristic
35C2×#66943C2211yescharacteristic
36C2×#66942—21no—
37C2×#66942—21no—
38C2×#66940C2211yescharacteristic
39C2×#66928C2211yescharacteristic
40C2×C42×D11C2211yescharacteristic
41C2×#66923C2211yescharacteristic
42C11×#499C2218yescomplemented
43C2×C11×#107C2211yescharacteristic
44C2×C11×#107C2211yescharacteristic
45C2×C11×#106C2211yescharacteristic
46C2×C11×#106C2211yescharacteristic
47C2×C4×C8×C11C2211yescharacteristic
48C2×#66885C2211yescharacteristic
49C2×#66885C2211yescharacteristic
50C2×(C2×D11)⋊C8C2211yescharacteristic
51C2×(C2×D11)⋊C8C2211yescharacteristic
52C2×#66880C2211yescharacteristic
53C2×#66880C2211yescharacteristic
54C2×Dic11⋊C8C2211yescharacteristic
55C2×Dic11⋊C8C2211yescharacteristic
56#10622681C2218yescomplemented
57#10622677C2218yescomplemented
58C2×#66874C2211yescharacteristic
59C2×#66874C2211yescharacteristic
60C2×#66873C2211yescharacteristic
61C2×#66873C2211yescharacteristic
62C2×#66872C2211yescharacteristic
63C2×#66872C2211yescharacteristic
64C2×#66871C2211yescharacteristic
65C2×#66871C2211yescharacteristic
66C2×C4×C11⋊C8C2211yescharacteristic
67#10622504C2218yescomplemented
68#10622497C2218yescomplemented
69#10622495C2218yes—
70#10622490C2218yescomplemented
71#10622484C2218yescomplemented
72#10622476C2218yes—
73#10622475C2218yescomplemented
74#10622470C2218yescomplemented
75#10622310C2218yescomplemented
76#10622298C2218yescomplemented
77C22×D44—21no—
78C22×D44C2311yescharacteristic
79C22×C4×D11—21no—
80C22×C4×D11—21no—
81C22×C4×D11—21no—
82C22×C4×D11D411yescharacteristic
83C22×C4×D11D411yescharacteristic
84C22×C4×D11C2311yescharacteristic
85C22×Dic22C2311yescharacteristic
86C22×C8×C11C2311yescharacteristic
87C22×C8×C11C2311yescharacteristic
88C11×#125—22no—
89C11×#125—22no—
90C11×#125C2314yes—
91C11×#125C2314yes—
92C2×C11×C4⋊C4—21no—
93C2×C11×C4⋊C4—21no—
94C2×C11×C4⋊C4—21no—
95C2×C11×C4⋊C4—21no—
96C2×C11×C4⋊C4C2311yescharacteristic
97C2×C11×C4⋊C4C2311yescharacteristic
98C2×C11×C4⋊C4C2311yescharacteristic
99C2×C11×C4⋊C4C2311yescharacteristic
100C2×C42×C11C2311yescharacteristic
101C2×(C2×D11)⋊C4—21no—
102C2×(C2×D11)⋊C4—21no—
103C2×(C2×D11)⋊C4—21no—
104C2×(C2×D11)⋊C4—21no—
105C2×(C2×D11)⋊C4—21no—
106C2×C4⋊Dic11—21no—
107C2×C4⋊Dic11—21no—
108C2×C4⋊Dic11—21no—
109C2×C4⋊Dic11C2311yescharacteristic
110C2×C4⋊Dic11C2311yescharacteristic
111C2×Dic11⋊C4—21no—
112C2×Dic11⋊C4—21no—
113C2×Dic11⋊C4—21no—
114C2×Dic11⋊C4—21no—
115C2×Dic11⋊C4—21no—
116C2×Dic11⋊C4—21no—
117C2×Dic11⋊C4—21no—
118C2×C4×Dic11—21no—
119C2×C4×Dic11D411yescharacteristic
120C2×C4×Dic11D411yescharacteristic
121C2×C4×Dic11C2311yescharacteristic
122C22×C11⋊C8C2311yescharacteristic
123C22×C11⋊C8C2311yescharacteristic
124#66951—28no—
125#66950—22no—
126#66950C2314yes—
127#66948—22no—
128#66948C2314yes—
129#66947—28no—
130#66946—28no—
131#66946—22no—
132#66946C2314yes—
133#66945—28no—
134C4⋊C4×D11—28no—
135C4⋊C4×D11—28no—
136C4⋊C4×D11—22no—
137C4⋊C4×D11—22no—
138C4⋊C4×D11C2314yes—
139C4⋊C4×D11C2314yes—
140#66943—22no—
141#66943—22no—
142#66943C2314yes—
143#66943C2314yes—
144#66942—28no—
145#66942—28no—
146#66940—22no—
147#66940C2314yes—
148#66928—22no—
149#66928C2314yes—
150C42×D11D414yes—
151C42×D11C2314yes—
152#66923—22no—
153#66923C2314yes—
154C11×#107C2314yes—
155C11×#107C2314yes—
156C11×#106C2314yes—
157C11×#106C2314yes—
158C4×C8×C11C2314yes—
159#66885C2314yes—
160#66885C2314yes—
161(C2×D11)⋊C8C2314yes—
162(C2×D11)⋊C8C2314yes—
163#66880C2314yes—
164#66880C2314yes—
165Dic11⋊C8C2314yes—
166Dic11⋊C8C2314yes—
167#66874C2314yes—
168#66874C2314yes—
169#66873C2314yes—
170#66873C2314yes—
171#66872C2314yes—
172#66872C2314yes—
173#66871C2314yes—
174#66871C2314yes—
175C4×C11⋊C8C2314yes—
176C2×#3232—111nomaximal, Sylow
177C23×D11—21no—
178C23×D11C2×D411yescharacteristic
179C22×C4×C11—21no—
180C22×C4×C11—21no—
181C22×C4×C11—21no—
182C22×C4×C11—21no—
183C22×C4×C11C2×D411yescharacteristic
184C22×C4×C11C2×D411yescharacteristic
185C22×C4×C11C2411yescharacteristic
186C22×Dic11—21no—
187C22×Dic11—21no—
188C22×Dic11—21no—
189C22×Dic11C2×D411yescharacteristic
190C22×Dic11C2×D411yescharacteristic
191C22×Dic11C2×D411yescharacteristic
192C2×D44—24no—
193C2×D44—21no—
194C2×D44—22no—
195C2×D44—22no—
196C2×D44—44no—
197C2×D44C2412yes—
198C2×C4×D11—24no—
199C2×C4×D11—24no—
200C2×C4×D11—24no—
201C2×C4×D11—24no—
202C2×C4×D11—22no—
203C2×C4×D11—22no—
204C2×C4×D11—42no—
205C2×C4×D11—44no—
206C2×C4×D11—44no—
207C2×C4×D11—44no—
208C2×C4×D11C2×D412yes—
209C2×C4×D11C2×D414yes—
210C2×C4×D11C2×D414yes—
211C2×C4×D11C2412yes—
212C2×Dic22—21no—
213C2×Dic22—22no—
214C2×Dic22—22no—
215C2×Dic22C2412yes—
216C2×C8×C11—22no—
217C2×C8×C11—22no—
218C2×C8×C11C2412yes—
219C2×C8×C11C2412yes—
220C11×C4⋊C4—21no—
221C11×C4⋊C4—24no—
222C11×C4⋊C4—24no—
223C11×C4⋊C4—21no—
224C11×C4⋊C4—21no—
225C11×C4⋊C4—24no—
226C11×C4⋊C4—21no—
227C11×C4⋊C4—24no—
228C11×C4⋊C4C2412yes—
229C11×C4⋊C4C2412yes—
230C11×C4⋊C4C2412yes—
231C11×C4⋊C4C2412yes—
232C42×C11C2×D412yes—
233C42×C11C2412yes—
234(C2×D11)⋊C4—24no—
235(C2×D11)⋊C4—24no—
236(C2×D11)⋊C4—24no—
237(C2×D11)⋊C4—24no—
238(C2×D11)⋊C4—24no—
239C4⋊Dic11—24no—
240C4⋊Dic11—24no—
241C4⋊Dic11—24no—
242C4⋊Dic11—21no—
243C4⋊Dic11—21no—
244C4⋊Dic11C2412yes—
245C4⋊Dic11C2412yes—
246Dic11⋊C4—24no—
247Dic11⋊C4—24no—
248Dic11⋊C4—24no—
249Dic11⋊C4—24no—
250Dic11⋊C4—24no—
251Dic11⋊C4—24no—
252Dic11⋊C4—24no—
253C4×Dic11—24no—
254C4×Dic11C2×D412yes—
255C4×Dic11C2×D414yes—
256C4×Dic11C2×D414yes—
257C4×Dic11C2412yes—
258C2×C11⋊C8—22no—
259C2×C11⋊C8—22no—
260C2×C11⋊C8C2412yes—
261C2×C11⋊C8C2412yes—
262C2×#529—111no—
263C22×#125—111no—
264#3232—1116no—
265C2×#499—111no—
266C2×#499D1111yescharacteristic, complemented
267C2×#488—111no—
268C2×#488—111no—
269C2×#484—111no—
270C2×#481—111no—
271C2×#483—111no—
272C2×#480—111no—
273C2×#479—111no—
274C2×#479—111no—
275C2×#478—111no—
276C2×#478—111no—
277C2×#431—111no—
278C23×C11C22×D411yescharacteristic
279C22×D11—22no—
280C22×D11—22no—
281C22×D11—22no—
282C22×D11—42no—
283C22×D11—42no—
284C22×D11—42no—
285C22×D11#13514yes—
286C22×D11C22×D412yes—
287C2×C4×C11—22no—
288C2×C4×C11—22no—
289C2×C4×C11—22no—
290C2×C4×C11—22no—
291C2×C4×C11—22no—
292C2×C4×C11—22no—
293C2×C4×C11—42no—
294C2×C4×C11—42no—
295C2×C4×C11—42no—
296C2×C4×C11—42no—
297C2×C4×C11C22×D412yes—
298C2×C4×C11C22×D412yes—
299C2×C4×C11C22×D411yescharacteristic
300C2×C4×C112−1+412yes—
301C2×C4×C112−1+412yes—
302C2×C4×C11C2511yescharacteristic
303C2×Dic11—22no—
304C2×Dic11—22no—
305C2×Dic11—22no—
306C2×Dic11—22no—
307C2×Dic11—22no—
308C2×Dic11—22no—
309C2×Dic11—42no—
310C2×Dic11—42no—
311C2×Dic11—42no—
312C2×Dic11C22×D412yes—
313C2×Dic11C22×D412yes—
314C2×Dic11C22×D412yes—
315D44—22no—
316D44—22no—
317D44—48no—
318D44—42no—
319C4×D11—28no—
320C4×D11—24no—
321C4×D11—22no—
322C4×D11—22no—
323C4×D11—44no—
324C4×D11—48no—
325C4×D11—48no—
326C4×D11—48no—
327Dic22—22no—
328Dic22—22no—
329Dic22—42no—
330C8×C11—22no—
331C8×C11—22no—
332C11⋊C8—22no—
333C11⋊C8—22no—
334#529—118no—
335#529—224no—
336C2×#126—221no—
337C2×#125—118no—
338C2×#125—111no—
339C2×#125—111no—
340C2×#125—111no—
341C2×#125—221no—
342C2×#125—221no—
343C2×#125—224no—
344C2×#125C2×D1111yescharacteristic
345C2×#125C2×D1111yescharacteristic
346C2×#124—111no—
347C2×#123—221no—
348C2×C22⋊Q8—111no—
349C2×#121—111no—
350C2×C4×Q8—111no—
351C2×C4×D4—111no—
352C2×C4×D4—221no—
353C2×#117—221no—
354C22×C4⋊C4—111no—
355C22×C4⋊C4—111no—
356C22×C4⋊C4—221no—
357C22×C4⋊C4—221no—
358C22×C42—111no—
359#499—118no—
360#499C2×D1118yescomplemented
361#488—118no—
362#488—118no—
363#484—118no—
364#483—118no—
365#481—118no—
366#480—118no—
367#479—118no—
368#479—118no—
369#478—118no—
370#478—118no—
371#431—118no—
372C2×#107—111no—
373C2×#107—111no—
374C2×#107C2×D1111yescharacteristic
375C2×#107C2×D1111yescharacteristic
376C2×#106—111no—
377C2×#106—111no—
378C2×#106C2×D1111yescharacteristic
379C2×#106C2×D1111yescharacteristic
380C2×C4⋊C8—111no—
381C2×C4⋊C8—111no—
382C2×#103—111no—
383C2×#103—111no—
384C2×#103—111no—
385C2×#103—111no—
386C2×#102—111no—
387C2×#102—111no—
388C2×#102—111no—
389C2×#102—111no—
390C2×C22⋊C8—111no—
391C2×C22⋊C8—111no—
392C2×C4×C8—111no—
393C2×C4×C8C2×D1111yescharacteristic
394C22×C11#53612yes—
395C22×C11C2×#13512yes—
396C22×C11#57512yes—
397C22×C11C23×D411yescharacteristic
398C2×D11—22no—
399C2×D11—28no—
400C2×D11—22no—
401C2×D11—42no—
402C2×D11—42no—
403C2×D11—42no—
404C2×D11—84no—
405C2×D11C2×#13514yes—
406C4×C11—22no—
407C4×C11—22no—
408C4×C11—42no—
409C4×C11—42no—
410C4×C11—42no—
411C4×C11—42no—
412C4×C11#53612yes—
413C4×C11C2×2−1+411yescharacteristic
414C4×C11C2×2−1+411yescharacteristic
415Dic11—22no—
416Dic11—22no—
417Dic11—22no—
418Dic11—42no—
419Dic11—42no—
420Dic11—42no—
421C22×Q8—111no—
422C22×D4—111no—
423C22×D4—221no—
424C23×C4—111no—
425C23×C4—111no—
426C23×C4—111no—
427C23×C4—221no—
428C23×C4—221no—
429C23×C4—221no—
430C22×C8—111no—
431C22×C8—111no—
432C22×C8C22×D1111yescharacteristic
433C22×C8C22×D1111yescharacteristic
434#126—228no—
435#125—22no—
436#125—22no—
437#125—114no—
438#125—114no—
439#125—114no—
440#125—228no—
441#125—228no—
442#125—222no—
443#125—222no—
444#125—222no—
445#125C22×D1114yes—
446#125C22×D1114yes—
447#124—114no—
448#124—222no—
449#123—228no—
450C22⋊Q8—114no—
451C22⋊Q8—222no—
452#121—114no—
453#121—222no—
454C4×Q8—114no—
455C4×Q8—222no—
456C4×D4—114no—
457C4×D4—222no—
458C4×D4—228no—
459#117—228no—
460C2×C4⋊C4—21no—
461C2×C4⋊C4—21no—
462C2×C4⋊C4—21no—
463C2×C4⋊C4—21no—
464C2×C4⋊C4—111no—
465C2×C4⋊C4—111no—
466C2×C4⋊C4—114no—
467C2×C4⋊C4—114no—
468C2×C4⋊C4—222no—
469C2×C4⋊C4—222no—
470C2×C4⋊C4—228no—
471C2×C4⋊C4—228no—
472C2×C4⋊C4—221no—
473C2×C4⋊C4—221no—
474C2×C4⋊C4—221no—
475C2×C4⋊C4—221no—
476C2×C4⋊C4—221no—
477C2×C4⋊C4—221no—
478C2×C4⋊C4—221no—
479C2×C4⋊C4—221no—
480C2×C4⋊C4—221no—
481C2×C4⋊C4—221no—
482C2×C4⋊C4C22×D1111yescharacteristic
483C2×C4⋊C4C22×D1111yescharacteristic
484C2×C4⋊C4C22×D1111yescharacteristic
485C2×C4⋊C4C22×D1111yescharacteristic
486C2×C22⋊C4—221no—
487C2×C22⋊C4—221no—
488C2×C22⋊C4—221no—
489C2×C22⋊C4—221no—
490C2×C22⋊C4—221no—
491C2×C42—111no—
492C2×C42—111no—
493C2×C42—111no—
494C2×C42—114no—
495C2×C42—114no—
496C2×C42—221no—
497C2×C42C22×D1111yescharacteristic
498#107—114no—
499#107—114no—
500#107C22×D1114yes—
501#107C22×D1114yes—
502#106—114no—
503#106—114no—
504#106C22×D1114yes—
505#106C22×D1114yes—
506C4⋊C8—114no—
507C4⋊C8—114no—
508#103—114no—
509#103—114no—
510#103—114no—
511#103—114no—
512#102—114no—
513#102—114no—
514#102—114no—
515#102—114no—
516C22⋊C8—114no—
517C22⋊C8—114no—
518C4×C8—114no—
519C4×C8C22×D1114yes—
520C2×C11#323214yescomplemented
521C2×C11C2×#53611yescharacteristic
522C2×C11C22×#13511yescharacteristic
523C2×C11C2×#57511yescharacteristic
524D11—24no—
525D11—82no—
526C24—111no—
527C24—221no—
528C2×Q8—112no—
529C2×Q8—221no—
530C2×Q8—222no—
531C2×Q8—222no—
532C2×D4—112no—
533C2×D4—224no—
534C2×D4—221no—
535C2×D4—222no—
536C2×D4—222no—
537C2×D4—444no—
538C22×C4—21no—
539C22×C4—21no—
540C22×C4—21no—
541C22×C4—21no—
542C22×C4—111no—
543C22×C4—111no—
544C22×C4—111no—
545C22×C4—112no—
546C22×C4—114no—
547C22×C4—112no—
548C22×C4—114no—
549C22×C4—224no—
550C22×C4—224no—
551C22×C4—224no—
552C22×C4—224no—
553C22×C4—222no—
554C22×C4—222no—
555C22×C4—221no—
556C22×C4—221no—
557C22×C4—221no—
558C22×C4—442no—
559C22×C4—444no—
560C22×C4—444no—
561C22×C4—444no—
562C22×C4D4×D1111yescharacteristic
563C22×C4D4×D1111yescharacteristic
564C22×C4C23×D1111yescharacteristic
565C2×C8—22no—
566C2×C8—22no—
567C2×C8—112no—
568C2×C8—112no—
569C2×C8—222no—
570C2×C8—222no—
571C2×C8C23×D1112yes—
572C2×C8C23×D1112yes—
573C4⋊C4—24no—
574C4⋊C4—24no—
575C4⋊C4—24no—
576C4⋊C4—24no—
577C4⋊C4—21no—
578C4⋊C4—21no—
579C4⋊C4—21no—
580C4⋊C4—21no—
581C4⋊C4—112no—
582C4⋊C4—112no—
583C4⋊C4—224no—
584C4⋊C4—224no—
585C4⋊C4—224no—
586C4⋊C4—224no—
587C4⋊C4—224no—
588C4⋊C4—224no—
589C4⋊C4—224no—
590C4⋊C4—224no—
591C4⋊C4—221no—
592C4⋊C4—221no—
593C4⋊C4—224no—
594C4⋊C4—224no—
595C4⋊C4C23×D1112yes—
596C4⋊C4C23×D1112yes—
597C4⋊C4C23×D1112yes—
598C4⋊C4C23×D1112yes—
599C22⋊C4—224no—
600C22⋊C4—224no—
601C22⋊C4—224no—
602C22⋊C4—224no—
603C22⋊C4—224no—
604C42—114no—
605C42—112no—
606C42—114no—
607C42—112no—
608C42—224no—
609C42D4×D1112yes—
610C42C23×D1112yes—
611C11C2×#323211yescharacteristic, complemented, Sylow
612C23—114no—
613C23—112no—
614C23—222no—
615C23—222no—
616C23—222no—
617C23—442no—
618C23—442no—
619C23—442no—
620C23C2×D4×D1111yescharacteristic
621Q8—222no—
622Q8—222no—
623Q8—442no—
624D4—222no—
625D4—222no—
626D4—448no—
627D4—442no—
628C2×C4—22no—
629C2×C4—22no—
630C2×C4—22no—
631C2×C4—22no—
632C2×C4—22no—
633C2×C4—22no—
634C2×C4—42no—
635C2×C4—42no—
636C2×C4—42no—
637C2×C4—42no—
638C2×C4—112no—
639C2×C4—112no—
640C2×C4—112no—
641C2×C4—228no—
642C2×C4—222no—
643C2×C4—222no—
644C2×C4—222no—
645C2×C4—224no—
646C2×C4—222no—
647C2×C4—222no—
648C2×C4—222no—
649C2×C4—222no—
650C2×C4—222no—
651C2×C4—444no—
652C2×C4—448no—
653C2×C4—448no—
654C2×C4—448no—
655C2×C4—442no—
656C2×C4—442no—
657C2×C4—442no—
658C2×C4C2×D4×D1112yes—
659C2×C4C2×D4×D1112yes—
660C2×C4C2×D4×D1111yescharacteristic
661C2×C4#6704012yes—
662C2×C4#6704012yes—
663C2×C4C24×D1111yescharacteristic
664C8—22no—
665C8—22no—
666C8—222no—
667C8—222no—
668C22—114no—
669C22—222no—
670C22—222no—
671C22—228no—
672C22—442no—
673C22—442no—
674C22—442no—
675C22—884no—
676C22#1062325512yes—
677C22D11×#13512yes—
678C22#1062329912yes—
679C22C22×D4×D1111yescharacteristic
680C4—22no—
681C4—22no—
682C4—42no—
683C4—42no—
684C4—42no—
685C4—42no—
686C4—222no—
687C4—222no—
688C4—222no—
689C4—442no—
690C4—442no—
691C4—442no—
692C4#1062325512yes—
693C4C2×#6704011yescharacteristic
694C4C2×#6704011yescharacteristic
695C2—224no—
696C2—882no—
697C2#1307978514yesdirect product factor
698C2C2×#1062325511yescharacteristic
699C2C2×D11×#13511yescharacteristic
700C2C2×#1062329911yescharacteristic
subgroupG/H
centerC23C2×D4×D11
commutator, cosocleC2×C4×C11C25
FrattiniC2×C4C24×D11
FittingC2×C11×#499C2
socleC23×C11C22×D4
prime radicalC2×#66948C22
hypercenterC2×#499D11
hypocenterC11C2×#3232
LCSG ▷ C2×C4×C11 ▷ C2×C11 ▷ C11
UCSC1 ◁ C23 ◁ C2×C42 ◁ C2×#499

Complements

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

NH ≅ G/Ntype
2. C2×D11×#125C2semidirect
3. #13079785C2direct (N × H)
4. C2×#10622677C2semidirect
5. C2×#10622681C2semidirect
6. C2×#10622310C2semidirect
7. C2×#10622497C2semidirect
9. C2×#10622475C2semidirect
11. C2×#10622470C2semidirect
12. C2×#10622490C2semidirect
13. C2×#10622504C2semidirect
14. C2×#10622484C2semidirect
15. C2×#10622298C2semidirect
16. C2×C11×#499C2semidirect
22. D11×#125C22semidirect
42. C11×#499C22semidirect
56. #10622681C22semidirect
57. #10622677C22semidirect
67. #10622504C22semidirect
68. #10622497C22semidirect
70. #10622490C22semidirect
71. #10622484C22semidirect
73. #10622475C22semidirect
74. #10622470C22semidirect
75. #10622310C22semidirect
76. #10622298C22semidirect
266. C2×#499D11semidirect
360. #499C2×D11semidirect
520. C2×C11#3232semidirect
611. C11C2×#3232semidirect
697. C2#13079785direct (N × H)

Maximal subgroups

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

subgroupindex
C2×#106232222
C2×D11×#1252
#130797852
C2×#106226772
C2×#106226812
C2×#106223102
C2×#106224972
C2×#106224762
C2×#106224752
C2×#106224952
C2×#106224702
C2×#106224902
C2×#106225042
C2×#106224842
C2×#106222982
C2×C11×#4992
C2×#323211