Finite Group Databasebeta

← C2×#13079151 #15623402

Subgroups — C2×#13079151 #15623402

Order 2816.

1854 conjugacy classes of subgroups.

The subgroup lattice has 678 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#10623220C211yesmaximal, characteristic
2C2×#10623260C211yesmaximal, characteristic
3#13079151C2116yesmaximal, direct product factor
4C2×#10622315C211yesmaximal, characteristic, complemented
5C2×#10622489C211yesmaximal, characteristic, complemented
6C2×#10622469C211yesmaximal, characteristic, complemented
7C2×#10622487C211yesmaximal, characteristic, complemented
8C2×#10622691C211yesmaximal, characteristic, complemented
9C2×#10622471C211yesmaximal, characteristic, complemented
10C2×#10622677C211yesmaximal, characteristic, complemented
11C2×#10622494C211yesmaximal, characteristic
12C2×#10622474C211yesmaximal, characteristic
13C2×#10622473C211yesmaximal, characteristic
14C2×D11×#107C211yesmaximal, characteristic
15C2×#10622321C211yesmaximal, characteristic
16C2×C11×#501C211yesmaximal, characteristic, complemented
17C2×C11×C4⋊Q8C2211yescharacteristic
18C2×C11×#125C2211yescharacteristic
19C2×#66999—21no—
20C2×#66997—21no—
21C22×#4313C2211yescharacteristic
22C22×C8×D11C2211yescharacteristic
23#10623260—24no—
24#10623260C2218yes—
25#10623220—24no—
26#10623220C2218yes—
27C2×#66950—21no—
28C2×#66949—21no—
29C2×#66949—21no—
30C2×#66945C2211yescharacteristic
31C2×#66945C2211yescharacteristic
32C2×C4⋊C4×D11C2211yescharacteristic
33C2×C4⋊C4×D11C2211yescharacteristic
34C2×#66943C2211yescharacteristic
35C2×#66943C2211yescharacteristic
36C2×#66942—21no—
37C2×#66942—21no—
38C2×#66941—21no—
39C2×#66941C2211yescharacteristic
40C2×#66941C2211yescharacteristic
41C2×#66925C2211yescharacteristic
42C2×#66923C2211yescharacteristic
43C2×#66922C2211yescharacteristic
44C11×#501C2218yescomplemented
45C2×C11×#107C2211yescharacteristic
46C2×C11×#107C2211yescharacteristic
47C2×C11×#106C2211yescharacteristic
48C2×C11×#106C2211yescharacteristic
49C2×C11×#97C2211yescharacteristic
50C2×#66882C2211yescharacteristic
51C2×#66882C2211yescharacteristic
52C2×#66881C2211yescharacteristic
53C2×#66881C2211yescharacteristic
54C2×#66879C2211yescharacteristic
55C2×C8×Dic11C2211yescharacteristic
56#10622691C2218yescomplemented
57#10622677C2218yescomplemented
58C2×#66872C2211yescharacteristic
59C2×#66872C2211yescharacteristic
60C2×#66871C2211yescharacteristic
61C2×#66871C2211yescharacteristic
62C2×#66871C2211yescharacteristic
63C2×#66871C2211yescharacteristic
64C2×#66871C2211yescharacteristic
65C2×#66871C2211yescharacteristic
66C2×C4×C11⋊C8C2211yescharacteristic
67#10622494C2218yes—
68D11×#107C2218yes—
69#10622489C2218yescomplemented
70#10622487C2218yescomplemented
71#10622474C2218yes—
72#10622473C2218yes—
73#10622471C2218yescomplemented
74#10622469C2218yescomplemented
75#10622321C2218yes—
76#10622315C2218yescomplemented
77C22×Q8×C11—21no—
78C22×C4×D11—21no—
79C22×C4×D11—21no—
80C22×C4×D11C2311yescharacteristic
81C22×Dic22—21no—
82C22×Dic22—21no—
83C22×Dic22—21no—
84C22×C8×C11C2311yescharacteristic
85C22×C8×C11C2311yescharacteristic
86C11×C4⋊Q8—22no—
87C11×C4⋊Q8C2314yes—
88C11×#125—22no—
89C11×#125C2314yes—
90C2×C11×C4⋊C4—21no—
91C2×C11×C4⋊C4—21no—
92C2×C11×C4⋊C4—21no—
93C2×C11×C4⋊C4C2311yescharacteristic
94C2×C11×C4⋊C4C2311yescharacteristic
95C2×C11×C4⋊C4C2311yescharacteristic
96C2×C11×C4⋊C4C2311yescharacteristic
97C2×C42×C11C2311yescharacteristic
98#66999—28no—
99#66997—28no—
100C2×(C2×D11)⋊C4—21no—
101C2×(C2×D11)⋊C4—21no—
102C2×(C2×D11)⋊C4D411yescharacteristic
103C2×(C2×D11)⋊C4D411yescharacteristic
104C2×C4⋊Dic11—21no—
105C2×C4⋊Dic11—21no—
106C2×C4⋊Dic11—21no—
107C2×C4⋊Dic11C2311yescharacteristic
108C2×C4⋊Dic11C2311yescharacteristic
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×Dic11⋊C4—21no—
119C2×Dic11⋊C4D411yescharacteristic
120C2×Dic11⋊C4D411yescharacteristic
121C2×C4×Dic11—21no—
122C2×C4×Dic11—21no—
123C2×C4×Dic11C2311yescharacteristic
124C22×C11⋊C8C2311yescharacteristic
125C22×C11⋊C8C2311yescharacteristic
126C2×#4313Q818yescomplemented
127C2×#4313C2314yes—
128C2×C8×D11Q818yescomplemented
129C2×C8×D11C2314yes—
130#66950—28no—
131#66949—28no—
132#66949—28no—
133#66945—22no—
134#66945—22no—
135#66945C2314yes—
136#66945C2314yes—
137C4⋊C4×D11—22no—
138C4⋊C4×D11—22no—
139C4⋊C4×D11C2314yes—
140C4⋊C4×D11C2314yes—
141#66943—22no—
142#66943—22no—
143#66943C2314yes—
144#66943C2314yes—
145#66942—28no—
146#66942—28no—
147#66941—28no—
148#66941—22no—
149#66941—22no—
150#66941C2314yes—
151#66941C2314yes—
152#66925D414yes—
153#66925C2314yes—
154#66923—22no—
155#66923C2314yes—
156#66922—22no—
157#66922C2314yes—
158C11×#107C2314yes—
159C11×#107C2314yes—
160C11×#106C2314yes—
161C11×#106C2314yes—
162C11×#97C2314yes—
163#66882C2314yes—
164#66882C2314yes—
165#66881C2314yes—
166#66881C2314yes—
167#66879C2314yes—
168C8×Dic11C2314yes—
169#66872C2314yes—
170#66872C2314yes—
171#66871C2314yes—
172#66871C2314yes—
173#66871C2314yes—
174#66871C2314yes—
175#66871C2314yes—
176#66871C2314yes—
177C4×C11⋊C8C2314yes—
178C2×#3164—111nomaximal, Sylow
179C23×D11C2×D411yescharacteristic
180C2×Q8×C11—24no—
181C2×Q8×C11—82no—
182C22×C4×C11—21no—
183C22×C4×C11—21no—
184C22×C4×C11—21no—
185C22×C4×C11—21no—
186C22×C4×C11C2×D411yescharacteristic
187C22×C4×C11C2×D411yescharacteristic
188C22×C4×C11C2411yescharacteristic
189C22×Dic11—21no—
190C22×Dic11—21no—
191C22×Dic11—21no—
192C22×Dic11—21no—
193C22×Dic11C2×D411yescharacteristic
194C22×Dic11C2×D411yescharacteristic
195C22×Dic11C2×D411yescharacteristic
196C2×C4×D11—24no—
197C2×C4×D11—24no—
198C2×C4×D11—82no—
199C2×C4×D11—82no—
200C2×C4×D11C2×D412yes—
201C2×C4×D11C2×Q814yes—
202C2×C4×D11C2×Q814yes—
203C2×C4×D11C2412yes—
204C2×Dic22—24no—
205C2×Dic22—24no—
206C2×Dic22—24no—
207C2×Dic22—82no—
208C2×Dic22—82no—
209C2×Dic22—82no—
210C2×C8×C11C2×Q814yes—
211C2×C8×C11C2×Q814yes—
212C2×C8×C11C2412yes—
213C2×C8×C11C2412yes—
214C11×C4⋊C4—21no—
215C11×C4⋊C4—21no—
216C11×C4⋊C4—24no—
217C11×C4⋊C4—24no—
218C11×C4⋊C4—24no—
219C11×C4⋊C4—21no—
220C11×C4⋊C4—21no—
221C11×C4⋊C4C2412yes—
222C11×C4⋊C4C2412yes—
223C11×C4⋊C4C2412yes—
224C11×C4⋊C4C2412yes—
225C42×C11C2×D412yes—
226C42×C11C2412yes—
227(C2×D11)⋊C4—24no—
228(C2×D11)⋊C4—24no—
229(C2×D11)⋊C4C2×D414yes—
230(C2×D11)⋊C4C2×D414yes—
231C4⋊Dic11—24no—
232C4⋊Dic11—24no—
233C4⋊Dic11—21no—
234C4⋊Dic11—21no—
235C4⋊Dic11—24no—
236C4⋊Dic11—21no—
237C4⋊Dic11—21no—
238C4⋊Dic11C2412yes—
239C4⋊Dic11C2412yes—
240C4⋊Dic11C2412yes—
241C4⋊Dic11C2412yes—
242Dic11⋊C4—24no—
243Dic11⋊C4—24no—
244Dic11⋊C4—24no—
245Dic11⋊C4—24no—
246Dic11⋊C4—24no—
247Dic11⋊C4—24no—
248Dic11⋊C4—24no—
249Dic11⋊C4—24no—
250Dic11⋊C4C2×D414yes—
251Dic11⋊C4C2×D414yes—
252C4×Dic11—24no—
253C4×Dic11—24no—
254C4×Dic11C2×D412yes—
255C4×Dic11C2412yes—
256C2×C11⋊C8C2×Q814yes—
257C2×C11⋊C8C2×Q814yes—
258C2×C11⋊C8C2412yes—
259C2×C11⋊C8C2412yes—
260#4313C2×Q8116yescomplemented
261C8×D11C2×Q8116yescomplemented
262C2×#544—111no—
263C2×#544—111no—
264#3164—1116no—
265C2×#501—111no—
266C2×#501—111no—
267C2×#501—111no—
268C2×#501D1111yescharacteristic, complemented
269C2×#500—111no—
270C2×#500—111no—
271C2×#499—111no—
272C2×#499—111no—
273C2×#428—111no—
274C2×#428—111no—
275C2×#427—111no—
276C22×#107—111no—
277C2×#405—111no—
278C23×C11C22×D411yescharacteristic
279C22×D11—22no—
280C22×D11—22no—
281C22×D11C4⋊Q814yes—
282C22×D11C22×D412yes—
283Q8×C11—84no—
284C2×C4×C11—22no—
285C2×C4×C11—22no—
286C2×C4×C11—22no—
287C2×C4×C11—22no—
288C2×C4×C11—22no—
289C2×C4×C11—22no—
290C2×C4×C11—42no—
291C2×C4×C11—42no—
292C2×C4×C11—42no—
293C2×C4×C11—42no—
294C2×C4×C11C22×D412yes—
295C2×C4×C11C22×D412yes—
296C2×C4×C11C22×D411yescharacteristic
297C2×C4×C11C22×Q812yes—
298C2×C4×C11C22×Q812yes—
299C2×C4×C11C2511yescharacteristic
300C2×Dic11—22no—
301C2×Dic11—22no—
302C2×Dic11—22no—
303C2×Dic11—22no—
304C2×Dic11—22no—
305C2×Dic11—22no—
306C2×Dic11—42no—
307C2×Dic11—42no—
308C2×Dic11—42no—
309C2×Dic11—42no—
310C2×Dic11C4⋊Q814yes—
311C2×Dic11C22×D412yes—
312C2×Dic11C22×D412yes—
313C2×Dic11C22×D412yes—
314C4×D11—84no—
315C4×D11—84no—
316C4×D11C4⋊Q818yes—
317C4×D11C22×Q814yes—
318C4×D11C22×Q814yes—
319Dic22—84no—
320Dic22—84no—
321Dic22—84no—
322C8×C11C22×Q814yes—
323C8×C11C22×Q814yes—
324C11⋊C8C22×Q814yes—
325C11⋊C8C22×Q814yes—
326C22×M16—111no—
327C23×C8—111no—
328#544—118no—
329#544—118no—
330#544—224no—
331#544—224no—
332C2×C4⋊Q8—111no—
333C2×C4⋊Q8—111no—
334C2×C4⋊Q8—111no—
335C2×C4⋊Q8—221no—
336C2×C4⋊Q8—221no—
337C2×C4⋊Q8C2×D1111yescharacteristic
338C2×#125—111no—
339C2×#125—111no—
340C2×#125—111no—
341C2×#125—221no—
342C2×#125—221no—
343C2×#125C2×D1111yescharacteristic
344C2×C22⋊Q8—221no—
345C2×C22⋊Q8—221no—
346C2×C22⋊Q8—221no—
347C2×C22⋊Q8—221no—
348C2×#117—111no—
349C2×#117—111no—
350C2×#117—111no—
351C22×C4⋊C4—111no—
352C22×C4⋊C4—111no—
353#501—118no—
354#501—118no—
355#501—118no—
356#501C2×D1118yescomplemented
357#500—118no—
358#500—118no—
359#499—118no—
360#499—118no—
361#428—118no—
362#428—118no—
363#427—118no—
364C2×#107—111no—
365C2×#107—111no—
366C2×#107—111no—
367C2×#107—111no—
368C2×#107—111no—
369C2×#107—111no—
370C2×#107—111no—
371C2×#107—111no—
372C2×#107—118no—
373C2×#107C2×D1111yescharacteristic
374C2×#107C2×D1111yescharacteristic
375C2×#106—111no—
376C2×#106—111no—
377C2×#106—111no—
378C2×#106—111no—
379C2×#106C2×D1111yescharacteristic
380C2×#106C2×D1111yescharacteristic
381#405—118no—
382C2×#97—111no—
383C2×#97C2×D1111yescharacteristic
384C2×C4×C8—111no—
385C2×C4×C8—111no—
386C22×C11C2×C4⋊Q812yes—
387C22×C11#57612yes—
388C22×C11#57812yes—
389C22×C11C23×D411yescharacteristic
390C2×D11—28no—
391C2×D11—22no—
392C2×D11—22no—
393C2×D11C2×C4⋊Q814yes—
394C4×C11—22no—
395C4×C11—22no—
396C4×C11—42no—
397C4×C11—42no—
398C4×C11—42no—
399C4×C11—42no—
400C4×C11C2×C4⋊Q812yes—
401C4×C11C23×Q811yescharacteristic
402C4×C11C23×Q811yescharacteristic
403Dic11—22no—
404Dic11—22no—
405Dic11—42no—
406Dic11—42no—
407Dic11—42no—
408Dic11—42no—
409Dic11C2×C4⋊Q814yes—
410C22×Q8—21no—
411C22×Q8—221no—
412C22×Q8—221no—
413C22×Q8—221no—
414C23×C4—111no—
415C23×C4—221no—
416C23×C4—221no—
417C2×M16—118no—
418C2×M16—114no—
419C22×C8—111no—
420C22×C8—111no—
421C22×C8—118no—
422C22×C8—114no—
423C22×C8C22×D1111yescharacteristic
424C22×C8C22×D1111yescharacteristic
425C4⋊Q8—22no—
426C4⋊Q8—114no—
427C4⋊Q8—114no—
428C4⋊Q8—114no—
429C4⋊Q8—222no—
430C4⋊Q8—222no—
431C4⋊Q8—228no—
432C4⋊Q8—228no—
433C4⋊Q8—222no—
434C4⋊Q8C22×D1114yes—
435#125—22no—
436#125—114no—
437#125—114no—
438#125—114no—
439#125—222no—
440#125—222no—
441#125—228no—
442#125—228no—
443#125—222no—
444#125C22×D1114yes—
445C22⋊Q8—228no—
446C22⋊Q8—228no—
447C22⋊Q8—228no—
448C22⋊Q8—228no—
449#117—114no—
450#117—114no—
451#117—114no—
452#117—114no—
453#117—222no—
454#117—222no—
455C2×C4⋊C4—21no—
456C2×C4⋊C4—21no—
457C2×C4⋊C4—21no—
458C2×C4⋊C4—111no—
459C2×C4⋊C4—111no—
460C2×C4⋊C4—111no—
461C2×C4⋊C4—111no—
462C2×C4⋊C4—111no—
463C2×C4⋊C4—111no—
464C2×C4⋊C4—114no—
465C2×C4⋊C4—114no—
466C2×C4⋊C4—222no—
467C2×C4⋊C4—222no—
468C2×C4⋊C4—221no—
469C2×C4⋊C4—221no—
470C2×C4⋊C4—221no—
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⋊C4C22×D1111yescharacteristic
480C2×C4⋊C4C22×D1111yescharacteristic
481C2×C4⋊C4C22×D1111yescharacteristic
482C2×C4⋊C4C22×D1111yescharacteristic
483C2×C22⋊C4—111no—
484C2×C22⋊C4—111no—
485C2×C22⋊C4—221no—
486C2×C22⋊C4—221no—
487C2×C42—111no—
488C2×C42—221no—
489C2×C42—221no—
490C2×C42C22×D1111yescharacteristic
491#107—114no—
492#107—114no—
493#107—114no—
494#107—114no—
495#107—114no—
496#107—114no—
497#107—114no—
498#107—114no—
499#107C22×D1114yes—
500#107C22×D1114yes—
501#106—114no—
502#106—114no—
503#106—114no—
504#106—114no—
505#106C22×D1114yes—
506#106C22×D1114yes—
507#97—114no—
508#97C22×D1114yes—
509C4×C8—114no—
510C4×C8—114no—
511C2×C11#316414yescomplemented
512C2×C11C22×C4⋊Q811yescharacteristic
513C2×C11C2×#57611yescharacteristic
514C2×C11C2×#57811yescharacteristic
515D11—24no—
516C24—111no—
517C2×Q8—24no—
518C2×Q8—82no—
519C2×Q8—224no—
520C2×Q8—224no—
521C2×Q8—224no—
522C2×Q8—882no—
523C2×Q8—882no—
524C2×Q8—882no—
525C22×C4—21no—
526C22×C4—21no—
527C22×C4—21no—
528C22×C4—21no—
529C22×C4—111no—
530C22×C4—112no—
531C22×C4—114no—
532C22×C4—114no—
533C22×C4—112no—
534C22×C4—111no—
535C22×C4—111no—
536C22×C4—224no—
537C22×C4—224no—
538C22×C4—221no—
539C22×C4—221no—
540C22×C4—221no—
541C22×C4—221no—
542C22×C4—882no—
543C22×C4—882no—
544C22×C4D4×D1111yescharacteristic
545C22×C4D4×D1111yescharacteristic
546C22×C4C23×D1111yescharacteristic
547M16—1116no—
548C2×C8—114no—
549C2×C8—114no—
550C2×C8—112no—
551C2×C8—112no—
552C2×C8—1116no—
553C2×C8Q8×D1114yes—
554C2×C8Q8×D1114yes—
555C2×C8C23×D1112yes—
556C2×C8C23×D1112yes—
557C4⋊C4—24no—
558C4⋊C4—24no—
559C4⋊C4—24no—
560C4⋊C4—21no—
561C4⋊C4—21no—
562C4⋊C4—21no—
563C4⋊C4—21no—
564C4⋊C4—114no—
565C4⋊C4—114no—
566C4⋊C4—112no—
567C4⋊C4—112no—
568C4⋊C4—112no—
569C4⋊C4—112no—
570C4⋊C4—224no—
571C4⋊C4—224no—
572C4⋊C4—224no—
573C4⋊C4—224no—
574C4⋊C4—224no—
575C4⋊C4—224no—
576C4⋊C4—224no—
577C4⋊C4—224no—
578C4⋊C4—221no—
579C4⋊C4—221no—
580C4⋊C4—221no—
581C4⋊C4—221no—
582C4⋊C4—224no—
583C4⋊C4—224no—
584C4⋊C4—224no—
585C4⋊C4C23×D1112yes—
586C4⋊C4C23×D1112yes—
587C4⋊C4C23×D1112yes—
588C4⋊C4C23×D1112yes—
589C22⋊C4—114no—
590C22⋊C4—114no—
591C22⋊C4—224no—
592C22⋊C4—224no—
593C42—112no—
594C42—112no—
595C42—224no—
596C42—224no—
597C42D4×D1112yes—
598C42C23×D1112yes—
599C11C2×#316411yescharacteristic, complemented, Sylow
600C23—114no—
601C23—112no—
602C23—222no—
603C23—222no—
604C23C2×D4×D1111yescharacteristic
605Q8—84no—
606Q8—884no—
607Q8—884no—
608Q8—884no—
609C2×C4—22no—
610C2×C4—22no—
611C2×C4—22no—
612C2×C4—22no—
613C2×C4—22no—
614C2×C4—22no—
615C2×C4—42no—
616C2×C4—42no—
617C2×C4—42no—
618C2×C4—42no—
619C2×C4—114no—
620C2×C4—112no—
621C2×C4—118no—
622C2×C4—114no—
623C2×C4—114no—
624C2×C4—112no—
625C2×C4—112no—
626C2×C4—222no—
627C2×C4—222no—
628C2×C4—222no—
629C2×C4—222no—
630C2×C4—222no—
631C2×C4—222no—
632C2×C4—442no—
633C2×C4—442no—
634C2×C4—442no—
635C2×C4—442no—
636C2×C4—884no—
637C2×C4—884no—
638C2×C4C2×D4×D1112yes—
639C2×C4C2×D4×D1112yes—
640C2×C4C2×D4×D1111yescharacteristic
641C2×C4C2×Q8×D1112yes—
642C2×C4C2×Q8×D1112yes—
643C2×C4C24×D1111yescharacteristic
644C8—114no—
645C8—114no—
646C8C2×Q8×D1114yes—
647C8C2×Q8×D1114yes—
648C22—114no—
649C22—228no—
650C22—222no—
651C22—222no—
652C22D11×C4⋊Q812yes—
653C22#1062330512yes—
654C22#1062331012yes—
655C22C22×D4×D1111yescharacteristic
656C4—22no—
657C4—22no—
658C4—42no—
659C4—42no—
660C4—42no—
661C4—42no—
662C4—114no—
663C4—222no—
664C4—222no—
665C4—442no—
666C4—442no—
667C4—442no—
668C4—442no—
669C4D11×C4⋊Q812yes—
670C4C22×Q8×D1111yescharacteristic
671C4C22×Q8×D1111yescharacteristic
672C2—224no—
673C2#1307915114yesdirect product factor
674C2C2×D11×C4⋊Q811yescharacteristic
675C2C2×#1062330511yescharacteristic
676C2C2×#1062331011yescharacteristic
subgroupG/H
centerC23C2×D4×D11
commutator, cosocleC2×C4×C11C25
FrattiniC2×C4C24×D11
FittingC2×C11×#501C2
socleC23×C11C22×D4
prime radicalC23×D11C2×D4
hypercenterC2×#501D11
hypocenterC11C2×#3164
LCSG ▷ C2×C4×C11 ▷ C2×C11 ▷ C11
UCSC1 ◁ C23 ◁ C2×C42 ◁ C2×#501

Complements

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

NH ≅ G/Ntype
3. #13079151C2direct (N × H)
4. C2×#10622315C2semidirect
5. C2×#10622489C2semidirect
6. C2×#10622469C2semidirect
7. C2×#10622487C2semidirect
8. C2×#10622691C2semidirect
9. C2×#10622471C2semidirect
10. C2×#10622677C2semidirect
16. C2×C11×#501C2semidirect
44. C11×#501C22semidirect
56. #10622691C22semidirect
57. #10622677C22semidirect
69. #10622489C22semidirect
70. #10622487C22semidirect
73. #10622471C22semidirect
74. #10622469C22semidirect
76. #10622315C22semidirect
126. C2×#4313Q8semidirect
128. C2×C8×D11Q8semidirect
260. #4313C2×Q8semidirect
261. C8×D11C2×Q8semidirect
268. C2×#501D11semidirect
356. #501C2×D11semidirect
511. C2×C11#3164semidirect
599. C11C2×#3164semidirect
673. C2#13079151direct (N × H)

Maximal subgroups

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

subgroupindex
C2×#106232202
C2×#106232602
#130791512
C2×#106223152
C2×#106224892
C2×#106224692
C2×#106224872
C2×#106226912
C2×#106224712
C2×#106226772
C2×#106224942
C2×#106224742
C2×#106224732
C2×D11×#1072
C2×#106223212
C2×C11×#5012
C2×#316411