Finite Group Databasebeta

← C2×#13079782 #15625801

Subgroups — C2×#13079782 #15625801

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×#10623088C211yesmaximal, characteristic
2C2×D11×#125C211yesmaximal, characteristic, complemented
3#13079782C2116yesmaximal, direct product factor
4C2×#10622491C211yesmaximal, characteristic, complemented
5C2×#10622471C211yesmaximal, characteristic, complemented
6C2×#10622381C211yesmaximal, characteristic, complemented
7C2×#10622381C211yesmaximal, characteristic, complemented
8C2×#10622497C211yesmaximal, characteristic, complemented
9C2×#10622390C211yesmaximal, characteristic
10C2×#10622475C211yesmaximal, characteristic, complemented
11C2×#10622387C211yesmaximal, characteristic
12C2×#10622442C211yesmaximal, characteristic, complemented
13C2×#10622676C211yesmaximal, characteristic, complemented
14C2×#10622622C211yesmaximal, characteristic, complemented
15C2×#10622446C211yesmaximal, characteristic, complemented
16C2×C11×#478C211yesmaximal, characteristic, complemented
17C2×C11×#125C2211yescharacteristic
18C2×C4×D4×C11C2211yescharacteristic
19C2×#66991C2211yescharacteristic
20C2×#66989C2211yescharacteristic
21C2×C4×C22⋊D11—21no—
22C2×#66979—21no—
23D11×#125—24no—
24D11×#125C2218yescomplemented
25#10623088—24no—
26#10623088C2218yes—
27C2×#66950C2211yescharacteristic
28C2×C4⋊C4×D11—21no—
29C2×C4⋊C4×D11—21no—
30C2×C4⋊C4×D11C2211yescharacteristic
31C2×C4⋊C4×D11C2211yescharacteristic
32C2×#66943C2211yescharacteristic
33C2×#66943C2211yescharacteristic
34C2×#66943C2211yescharacteristic
35C2×#66942—21no—
36C2×#66942—21no—
37C2×#66936—21no—
38C2×#66932—21no—
39C2×C42×D11C2211yescharacteristic
40C2×#66923C2211yescharacteristic
41C2×C4×Dic22C2211yescharacteristic
42C11×#478C2218yescomplemented
43C2×C11×#107C2211yescharacteristic
44C2×C11×#106C2211yescharacteristic
45C2×C11×C4⋊C8C2211yescharacteristic
46C2×C11×#102C2211yescharacteristic
47C2×C11×#102C2211yescharacteristic
48C2×#66896C2211yescharacteristic
49C2×#66896C2211yescharacteristic
50C2×(C2×D11)⋊C8C2211yescharacteristic
51C2×(C2×D11)⋊C8C2211yescharacteristic
52C2×#66882C2211yescharacteristic
53C2×#66881C2211yescharacteristic
54C2×#66880C2211yescharacteristic
55C2×#66880C2211yescharacteristic
56C2×C8×Dic11C2211yescharacteristic
57C2×C8×Dic11C2211yescharacteristic
58#10622676C2218yescomplemented
59#10622622C2218yescomplemented
60C2×#66874C2211yescharacteristic
61C2×#66874C2211yescharacteristic
62C2×#66872C2211yescharacteristic
63C2×#66872C2211yescharacteristic
64C2×#66871C2211yescharacteristic
65C2×#66871C2211yescharacteristic
66C2×C4⋊(C11⋊C8)C2211yescharacteristic
67#10622497C2218yescomplemented
68#10622491C2218yescomplemented
69#10622475C2218yescomplemented
70#10622471C2218yescomplemented
71#10622446C2218yescomplemented
72#10622442C2218yescomplemented
73#10622390C2218yes—
74#10622387C2218yes—
75#10622381C2218yescomplemented
76#10622381C2218yescomplemented
77C22×D4×C11C2311yescharacteristic
78C23×C4×C11—21no—
79C22×C22⋊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×#125C2314yes—
90C4×D4×C11—22no—
91C4×D4×C11C2314yes—
92C2×C11×C4⋊C4—21no—
93C2×C11×C4⋊C4—21no—
94C2×C11×C4⋊C4C2311yescharacteristic
95C2×C11×C4⋊C4C2311yescharacteristic
96C2×C11×C4⋊C4C2311yescharacteristic
97C2×C11×C22⋊C4—21no—
98C2×C42×C11C2311yescharacteristic
99C2×C22⋊Dic11—21no—
100C2×C22⋊Dic11—21no—
101C2×C22⋊Dic11—21no—
102#66991—22no—
103#66991C2314yes—
104#66989—22no—
105#66989C2314yes—
106C4×C22⋊D11—28no—
107C2×(C2×D11)⋊C4—21no—
108#66979—28no—
109C2×C4⋊Dic11—21no—
110C2×C4⋊Dic11—21no—
111C2×C4⋊Dic11—21no—
112C2×C4⋊Dic11—21no—
113C2×C4⋊Dic11C2311yescharacteristic
114C2×C4⋊Dic11C2311yescharacteristic
115C2×C4⋊Dic11C2311yescharacteristic
116C2×Dic11⋊C4—21no—
117C2×Dic11⋊C4—21no—
118C2×Dic11⋊C4—21no—
119C2×Dic11⋊C4—21no—
120C2×Dic11⋊C4—21no—
121C2×Dic11⋊C4—21no—
122C2×Dic11⋊C4—21no—
123C2×Dic11⋊C4—21no—
124C2×C4×Dic11—21no—
125C2×C4×Dic11D411yescharacteristic
126C2×C4×Dic11D411yescharacteristic
127C2×C4×Dic11C2311yescharacteristic
128C22×C11⋊C8C2311yescharacteristic
129C22×C11⋊C8C2311yescharacteristic
130#66950—22no—
131#66950C2314yes—
132C4⋊C4×D11—28no—
133C4⋊C4×D11—28no—
134C4⋊C4×D11—22no—
135C4⋊C4×D11—22no—
136C4⋊C4×D11C2314yes—
137C4⋊C4×D11C2314yes—
138#66943—22no—
139#66943—22no—
140#66943—22no—
141#66943C2314yes—
142#66943C2314yes—
143#66943C2314yes—
144#66942—28no—
145#66942—28no—
146#66936—28no—
147#66932—28no—
148C42×D11D414yes—
149C42×D11C2314yes—
150#66923—22no—
151#66923C2314yes—
152C4×Dic22—22no—
153C4×Dic22C2314yes—
154C11×#107C2314yes—
155C11×#106C2314yes—
156C11×C4⋊C8C2314yes—
157C11×#102C2314yes—
158C11×#102C2314yes—
159#66896C2314yes—
160#66896C2314yes—
161(C2×D11)⋊C8C2314yes—
162(C2×D11)⋊C8C2314yes—
163#66882C2314yes—
164#66881C2314yes—
165#66880C2314yes—
166#66880C2314yes—
167C8×Dic11C2314yes—
168C8×Dic11C2314yes—
169#66874C2314yes—
170#66874C2314yes—
171#66872C2314yes—
172#66872C2314yes—
173#66871C2314yes—
174#66871C2314yes—
175C4⋊(C11⋊C8)C2314yes—
176C2×#3232—111nomaximal, Sylow
177C24×C11—21no—
178C23×D11C2×D411yescharacteristic
179C2×D4×C11—21no—
180C2×D4×C11—22no—
181C2×D4×C11—22no—
182C2×D4×C11C2412yes—
183C22×C4×C11—21no—
184C22×C4×C11—21no—
185C22×C4×C11—21no—
186C22×C4×C11—24no—
187C22×C4×C11—44no—
188C22×C4×C11C2×D411yescharacteristic
189C22×C4×C11C2×D411yescharacteristic
190C22×C4×C11C2411yescharacteristic
191C2×C22⋊D11—24no—
192C2×C22⋊D11—44no—
193C22×Dic11—21no—
194C22×Dic11—21no—
195C22×Dic11—21no—
196C22×Dic11—21no—
197C22×Dic11C2×D411yescharacteristic
198C22×Dic11C2×D411yescharacteristic
199C22×Dic11C2×D411yescharacteristic
200C2×C4×D11—24no—
201C2×C4×D11—24no—
202C2×C4×D11—24no—
203C2×C4×D11—22no—
204C2×C4×D11—22no—
205C2×C4×D11—42no—
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—24no—
221C11×C4⋊C4—24no—
222C11×C4⋊C4—21no—
223C11×C4⋊C4—21no—
224C11×C4⋊C4—21no—
225C11×C4⋊C4C2412yes—
226C11×C4⋊C4C2412yes—
227C11×C4⋊C4C2412yes—
228C11×C22⋊C4—24no—
229C42×C11C2×D412yes—
230C42×C11C2412yes—
231C22⋊Dic11—24no—
232C22⋊Dic11—24no—
233C22⋊Dic11—24no—
234(C2×D11)⋊C4—24no—
235C4⋊Dic11—24no—
236C4⋊Dic11—24no—
237C4⋊Dic11—24no—
238C4⋊Dic11—24no—
239C4⋊Dic11—21no—
240C4⋊Dic11—21no—
241C4⋊Dic11—21no—
242C4⋊Dic11C2412yes—
243C4⋊Dic11C2412yes—
244C4⋊Dic11C2412yes—
245Dic11⋊C4—24no—
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×#499—111no—
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×#478D1111yescharacteristic, complemented
277C2×#431—111no—
278C23×C11—22no—
279C23×C11—42no—
280C23×C11—42no—
281C23×C11—42no—
282C23×C11C22×D411yescharacteristic
283C22×D11—22no—
284C22×D11—22no—
285C22×D11#13514yes—
286C22×D11C22×D412yes—
287D4×C11—22no—
288D4×C11—22no—
289D4×C11—42no—
290C2×C4×C11—22no—
291C2×C4×C11—22no—
292C2×C4×C11—22no—
293C2×C4×C11—22no—
294C2×C4×C11—22no—
295C2×C4×C11—48no—
296C2×C4×C11—42no—
297C2×C4×C11—42no—
298C2×C4×C11—42no—
299C2×C4×C11C22×D412yes—
300C2×C4×C11C22×D412yes—
301C2×C4×C11C22×D411yescharacteristic
302C2×C4×C112−1+412yes—
303C2×C4×C112−1+412yes—
304C2×C4×C11C2511yescharacteristic
305C22⋊D11—48no—
306C2×Dic11—22no—
307C2×Dic11—22no—
308C2×Dic11—22no—
309C2×Dic11—22no—
310C2×Dic11—22no—
311C2×Dic11—22no—
312C2×Dic11—22no—
313C2×Dic11—42no—
314C2×Dic11—42no—
315C2×Dic11—42no—
316C2×Dic11—42no—
317C2×Dic11C22×D412yes—
318C2×Dic11C22×D412yes—
319C2×Dic11C22×D412yes—
320C4×D11—28no—
321C4×D11—24no—
322C4×D11—22no—
323C4×D11—22no—
324C4×D11—44no—
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—111no—
342C2×#125—221no—
343C2×#125—221no—
344C2×#125—224no—
345C2×#125C2×D1111yescharacteristic
346C2×#124—111no—
347C2×#123—221no—
348C2×C22⋊Q8—111no—
349C2×#121—111no—
350C2×C4×Q8—111no—
351C2×C4×D4—221no—
352C2×C4×D4C2×D1111yescharacteristic
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#499—118no—
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#478C2×D1118yescomplemented
371#431—118no—
372C2×#107—111no—
373C2×#107—111no—
374C2×#107—111no—
375C2×#107C2×D1111yescharacteristic
376C2×#106—111no—
377C2×#106—111no—
378C2×#106—111no—
379C2×#106C2×D1111yescharacteristic
380C2×C4⋊C8—111no—
381C2×C4⋊C8C2×D1111yescharacteristic
382C2×#103—111no—
383C2×#103—111no—
384C2×#103—111no—
385C2×#103—111no—
386C2×#102—111no—
387C2×#102—111no—
388C2×#102C2×D1111yescharacteristic
389C2×#102C2×D1111yescharacteristic
390C2×C22⋊C8—111no—
391C2×C22⋊C8—111no—
392C2×C4×C8—111no—
393C2×C4×C8—111no—
394C22×C11—42no—
395C22×C11—42no—
396C22×C11—42no—
397C22×C11—84no—
398C22×C11#53612yes—
399C22×C11C2×#13512yes—
400C22×C11#57512yes—
401C22×C11C23×D411yescharacteristic
402C2×D11—22no—
403C2×D11—28no—
404C2×D11—22no—
405C2×D11C2×#13514yes—
406C4×C11—22no—
407C4×C11—22no—
408C4×C11—42no—
409C4×C11—42no—
410C4×C11—42no—
411C4×C11#53612yes—
412C4×C11C2×2−1+411yescharacteristic
413C4×C11C2×2−1+411yescharacteristic
414Dic11—22no—
415Dic11—22no—
416Dic11—22no—
417Dic11—42no—
418Dic11—42no—
419Dic11—42no—
420Dic11—42no—
421C22×Q8—111no—
422C22×D4—221no—
423C22×D4C22×D1111yescharacteristic
424C23×C4—21no—
425C23×C4—111no—
426C23×C4—111no—
427C23×C4—111no—
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—114no—
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#125—222no—
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—22no—
457C4×D4—228no—
458C4×D4C22×D1114yes—
459#117—228no—
460C2×C4⋊C4—21no—
461C2×C4⋊C4—21no—
462C2×C4⋊C4—111no—
463C2×C4⋊C4—111no—
464C2×C4⋊C4—111no—
465C2×C4⋊C4—114no—
466C2×C4⋊C4—114no—
467C2×C4⋊C4—222no—
468C2×C4⋊C4—222no—
469C2×C4⋊C4—228no—
470C2×C4⋊C4—228no—
471C2×C4⋊C4—221no—
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⋊C4—221no—
483C2×C4⋊C4C22×D1111yescharacteristic
484C2×C4⋊C4C22×D1111yescharacteristic
485C2×C4⋊C4C22×D1111yescharacteristic
486C2×C22⋊C4—21no—
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#107—114no—
501#107C22×D1114yes—
502#106—114no—
503#106—114no—
504#106—114no—
505#106C22×D1114yes—
506C4⋊C8—114no—
507C4⋊C8C22×D1114yes—
508#103—114no—
509#103—114no—
510#103—114no—
511#103—114no—
512#102—114no—
513#102—114no—
514#102C22×D1114yes—
515#102C22×D1114yes—
516C22⋊C8—114no—
517C22⋊C8—114no—
518C4×C8—114no—
519C4×C8—114no—
520C2×C11—82no—
521C2×C11#323214yescomplemented
522C2×C11C2×#53611yescharacteristic
523C2×C11C22×#13511yescharacteristic
524C2×C11C2×#57511yescharacteristic
525D11—24no—
526C24—21no—
527C24—111no—
528C2×Q8—112no—
529C2×Q8—221no—
530C2×Q8—222no—
531C2×Q8—222no—
532C2×D4—21no—
533C2×D4—22no—
534C2×D4—22no—
535C2×D4—224no—
536C2×D4—444no—
537C2×D4C23×D1112yes—
538C22×C4—21no—
539C22×C4—21no—
540C22×C4—21no—
541C22×C4—24no—
542C22×C4—44no—
543C22×C4—111no—
544C22×C4—111no—
545C22×C4—111no—
546C22×C4—112no—
547C22×C4—114no—
548C22×C4—112no—
549C22×C4—114no—
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—221no—
559C22×C4—442no—
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—21no—
576C4⋊C4—21no—
577C4⋊C4—21no—
578C4⋊C4—112no—
579C4⋊C4—112no—
580C4⋊C4—112no—
581C4⋊C4—224no—
582C4⋊C4—224no—
583C4⋊C4—224no—
584C4⋊C4—224no—
585C4⋊C4—224no—
586C4⋊C4—224no—
587C4⋊C4—224no—
588C4⋊C4—224no—
589C4⋊C4—224no—
590C4⋊C4—221no—
591C4⋊C4—221no—
592C4⋊C4—221no—
593C4⋊C4—224no—
594C4⋊C4—224no—
595C4⋊C4—224no—
596C4⋊C4C23×D1112yes—
597C4⋊C4C23×D1112yes—
598C4⋊C4C23×D1112yes—
599C22⋊C4—24no—
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—22no—
613C23—42no—
614C23—42no—
615C23—42no—
616C23—114no—
617C23—112no—
618C23—222no—
619C23—222no—
620C23C2×D4×D1111yescharacteristic
621Q8—222no—
622Q8—222no—
623Q8—442no—
624D4—22no—
625D4—22no—
626D4—42no—
627D4—448no—
628C2×C4—22no—
629C2×C4—22no—
630C2×C4—22no—
631C2×C4—22no—
632C2×C4—22no—
633C2×C4—48no—
634C2×C4—42no—
635C2×C4—42no—
636C2×C4—42no—
637C2×C4—112no—
638C2×C4—112no—
639C2×C4—112no—
640C2×C4—228no—
641C2×C4—222no—
642C2×C4—222no—
643C2×C4—222no—
644C2×C4—224no—
645C2×C4—222no—
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—442no—
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#6704312yes—
663C2×C4C24×D1111yescharacteristic
664C8—22no—
665C8—22no—
666C8—222no—
667C8—222no—
668C22—42no—
669C22—42no—
670C22—42no—
671C22—84no—
672C22—114no—
673C22—222no—
674C22—222no—
675C22—228no—
676C22#1062315912yes—
677C22D11×#13512yes—
678C22#1062330412yes—
679C22C22×D4×D1111yescharacteristic
680C4—22no—
681C4—22no—
682C4—42no—
683C4—42no—
684C4—42no—
685C4—222no—
686C4—222no—
687C4—222no—
688C4—442no—
689C4—442no—
690C4—442no—
691C4—442no—
692C4#1062315912yes—
693C4C2×#6704011yescharacteristic
694C4C2×#6704311yescharacteristic
695C2—82no—
696C2—224no—
697C2#1307978214yesdirect product factor
698C2C2×#1062315911yescharacteristic
699C2C2×D11×#13511yescharacteristic
700C2C2×#1062330411yescharacteristic
subgroupG/H
centerC23C2×D4×D11
commutator, cosocleC2×C4×C11C25
FrattiniC2×C4C24×D11
FittingC2×C11×#478C2
socleC23×C11C22×D4
prime radicalC2×#66991C22
hypercenterC2×#478D11
hypocenterC11C2×#3232
LCSG ▷ C2×C4×C11 ▷ C2×C11 ▷ C11
UCSC1 ◁ C23 ◁ C2×C42 ◁ C2×#478

Complements

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

NH ≅ G/Ntype
2. C2×D11×#125C2semidirect
3. #13079782C2direct (N × H)
4. C2×#10622491C2semidirect
5. C2×#10622471C2semidirect
6. C2×#10622381C2semidirect
7. C2×#10622381C2semidirect
8. C2×#10622497C2semidirect
10. C2×#10622475C2semidirect
12. C2×#10622442C2semidirect
13. C2×#10622676C2semidirect
14. C2×#10622622C2semidirect
15. C2×#10622446C2semidirect
16. C2×C11×#478C2semidirect
24. D11×#125C22semidirect
42. C11×#478C22semidirect
58. #10622676C22semidirect
59. #10622622C22semidirect
67. #10622497C22semidirect
68. #10622491C22semidirect
69. #10622475C22semidirect
70. #10622471C22semidirect
71. #10622446C22semidirect
72. #10622442C22semidirect
75. #10622381C22semidirect
76. #10622381C22semidirect
276. C2×#478D11semidirect
370. #478C2×D11semidirect
521. C2×C11#3232semidirect
611. C11C2×#3232semidirect
697. C2#13079782direct (N × H)

Maximal subgroups

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

subgroupindex
C2×#106230882
C2×D11×#1252
#130797822
C2×#106224912
C2×#106224712
C2×#106223812
C2×#106224972
C2×#106223902
C2×#106224752
C2×#106223872
C2×#106224422
C2×#106226762
C2×#106226222
C2×#106224462
C2×C11×#4782
C2×#323211