Finite Group Databasebeta

← C2×#13081453 #15633565

Subgroups — C2×#13081453 #15633565

Order 2816.

1810 conjugacy classes of subgroups.

The subgroup lattice has 700 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#10623216C211yesmaximal, characteristic, complemented
2C2×#10623263C211yesmaximal, characteristic
3#13081453C2116yesmaximal, direct product factor
4C2×#10622408C211yesmaximal, characteristic
5C2×#10622413C211yesmaximal, characteristic
6C2×#10622409C211yesmaximal, characteristic, complemented
7C2×#10622407C211yesmaximal, characteristic, complemented
8C2×#10622679C211yesmaximal, characteristic
9C2×#10622411C211yesmaximal, characteristic
10C2×#10622411C211yesmaximal, characteristic
11C2×#10622703C211yesmaximal, characteristic, complemented
12C2×#10622314C211yesmaximal, characteristic, complemented
13C2×#10622402C211yesmaximal, characteristic, complemented
14C2×#10622323C211yesmaximal, characteristic
15C2×#10622403C211yesmaximal, characteristic, complemented
16C2×C11×#491C211yesmaximal, characteristic, complemented
17C2×C11×C4⋊Q8C2211yescharacteristic
18C2×C11×#125C2211yescharacteristic
19C2×#67000C2211yescharacteristic
20C2×#67000C2211yescharacteristic
21C2×Q8×Dic11C2211yescharacteristic
22C2×Q8×Dic11C2211yescharacteristic
23C22×#4326C2211yescharacteristic
24C22×#4326C2211yescharacteristic
25C22×#4314C2211yescharacteristic
26#10623263—24no—
27#10623263C2218yes—
28#10623216—24no—
29#10623216C2218yescomplemented
30C2×#66951—21no—
31C2×#66951—21no—
32C2×#66950—21no—
33C2×#66945—21no—
34C2×#66943C2211yescharacteristic
35C2×#66942—21no—
36C2×#66942—21no—
37C2×#66941—21no—
38C2×#66941C2211yescharacteristic
39C2×#66940—21no—
40C2×#66940C2211yescharacteristic
41C2×#66940C2211yescharacteristic
42C2×C4×D44C2211yescharacteristic
43C2×C4×Dic22C2211yescharacteristic
44C2×C4×Dic22C2211yescharacteristic
45C11×#491C2218yescomplemented
46C2×C11×#103C2211yescharacteristic
47C2×C11×#103C2211yescharacteristic
48C2×C11×#103C2211yescharacteristic
49C2×C11×#103C2211yescharacteristic
50C2×C11×#97C2211yescharacteristic
51C2×#66899C2211yescharacteristic
52C2×#66899C2211yescharacteristic
53C2×#66885C2211yescharacteristic
54C2×#66882C2211yescharacteristic
55C2×#66880C2211yescharacteristic
56C2×#66879C2211yescharacteristic
57C2×Dic11⋊C8C2211yescharacteristic
58C2×Dic11⋊C8C2211yescharacteristic
59C2×C8×Dic11C2211yescharacteristic
60#10622703C2218yescomplemented
61#10622679C2218yes—
62C2×#66873C2211yescharacteristic
63C2×#66873C2211yescharacteristic
64C2×#66872C2211yescharacteristic
65C2×#66871C2211yescharacteristic
66C2×C4⋊(C11⋊C8)C2211yescharacteristic
67#10622413C2218yes—
68#10622411C2218yes—
69#10622411C2218yes—
70#10622409C2218yescomplemented
71#10622408C2218yes—
72#10622407C2218yescomplemented
73#10622403C2218yescomplemented
74#10622402C2218yescomplemented
75#10622323C2218yes—
76#10622314C2218yescomplemented
77C22×Q8×C11C2311yescharacteristic
78C22×Q8×C11C2311yescharacteristic
79C22×D44C2311yescharacteristic
80C22×C4×D11—21no—
81C22×Dic22—21no—
82C22×Dic22D411yescharacteristic
83C22×Dic22C2311yescharacteristic
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⋊C4—21no—
94C2×C11×C4⋊C4C2311yescharacteristic
95C2×C11×C4⋊C4C2311yescharacteristic
96C2×C42×C11C2311yescharacteristic
97#67000—22no—
98#67000—22no—
99#67000C2314yes—
100#67000C2314yes—
101Q8×Dic11—22no—
102Q8×Dic11—22no—
103Q8×Dic11C2314yes—
104Q8×Dic11C2314yes—
105C2×#4326—24no—
106C2×#4326—24no—
107C2×#4326C2314yes—
108C2×#4326C2314yes—
109C2×(C2×D11)⋊C4—21no—
110C2×(C2×D11)⋊C4—21no—
111C2×(C2×D11)⋊C4—21no—
112C2×(C2×D11)⋊C4—21no—
113C2×(C2×D11)⋊C4—21no—
114C2×C4⋊Dic11—21no—
115C2×C4⋊Dic11—21no—
116C2×C4⋊Dic11—21no—
117C2×C4⋊Dic11D411yescharacteristic
118C2×C4⋊Dic11C2311yescharacteristic
119C2×C4⋊Dic11C2311yescharacteristic
120C2×Dic11⋊C4—21no—
121C2×Dic11⋊C4—21no—
122C2×Dic11⋊C4—21no—
123C2×Dic11⋊C4—21no—
124C2×Dic11⋊C4—21no—
125C2×Dic11⋊C4D411yescharacteristic
126C2×Dic11⋊C4D411yescharacteristic
127C2×C4×Dic11—21no—
128C2×C4×Dic11—21no—
129C2×C4×Dic11—21no—
130C2×C4×Dic11—21no—
131C2×C4×Dic11—21no—
132C2×C4×Dic11C2311yescharacteristic
133C2×C4×Dic11C2311yescharacteristic
134C22×C11⋊C8C2311yescharacteristic
135C22×C11⋊C8C2311yescharacteristic
136C2×#4314—24no—
137C2×#4314C2314yes—
138#66951—28no—
139#66951—28no—
140#66950—28no—
141#66945—28no—
142#66943—22no—
143#66943C2314yes—
144#66942—28no—
145#66942—28no—
146#66941—28no—
147#66941—22no—
148#66941C2314yes—
149#66940—28no—
150#66940—22no—
151#66940—22no—
152#66940C2314yes—
153#66940C2314yes—
154C4×D44—22no—
155C4×D44C2314yes—
156C4×Dic22—22no—
157C4×Dic22D414yes—
158C4×Dic22C2314yes—
159C4×Dic22C2314yes—
160C11×#103C2314yes—
161C11×#103C2314yes—
162C11×#103C2314yes—
163C11×#103C2314yes—
164C11×#97C2314yes—
165#66899C2314yes—
166#66899C2314yes—
167#66885C2314yes—
168#66882C2314yes—
169#66880C2314yes—
170#66879C2314yes—
171Dic11⋊C8C2314yes—
172Dic11⋊C8C2314yes—
173C8×Dic11C2314yes—
174#66873C2314yes—
175#66873C2314yes—
176#66872C2314yes—
177#66871C2314yes—
178C4⋊(C11⋊C8)C2314yes—
179C2×#3377—111nomaximal, Sylow
180C23×D11—21no—
181C2×Q8×C11—21no—
182C2×Q8×C11—21no—
183C2×Q8×C11—22no—
184C2×Q8×C11—22no—
185C2×Q8×C11—22no—
186C2×Q8×C11—22no—
187C2×Q8×C11C2412yes—
188C2×Q8×C11C2412yes—
189C22×C4×C11—21no—
190C22×C4×C11—21no—
191C22×C4×C11—21no—
192C22×C4×C11—21no—
193C22×C4×C11C2×D411yescharacteristic
194C22×C4×C11C2×D411yescharacteristic
195C22×C4×C11C2411yescharacteristic
196C22×Dic11—21no—
197C22×Dic11—21no—
198C22×Dic11—21no—
199C22×Dic11C2×D411yescharacteristic
200C22×Dic11C2×D411yescharacteristic
201C22×Dic11C2×D411yescharacteristic
202C22×Dic11C2×D411yescharacteristic
203C2×D44—21no—
204C2×D44—22no—
205C2×D44—22no—
206C2×D44C2412yes—
207C2×C4×D11—24no—
208C2×C4×D11—44no—
209C2×Dic22—24no—
210C2×Dic22—21no—
211C2×Dic22—22no—
212C2×Dic22—42no—
213C2×Dic22—44no—
214C2×Dic22C2×D414yes—
215C2×Dic22#4114yes—
216C2×Dic22C2412yes—
217C2×C8×C11—22no—
218C2×C8×C11—22no—
219C2×C8×C11C2412yes—
220C2×C8×C11C2412yes—
221C11×C4⋊C4—21no—
222C11×C4⋊C4—24no—
223C11×C4⋊C4—21no—
224C11×C4⋊C4—24no—
225C11×C4⋊C4—24no—
226C11×C4⋊C4—24no—
227C11×C4⋊C4C2412yes—
228C11×C4⋊C4C2412yes—
229C42×C11C2×D412yes—
230C42×C11C2412yes—
231#4326—28no—
232#4326—28no—
233(C2×D11)⋊C4—24no—
234(C2×D11)⋊C4—24no—
235(C2×D11)⋊C4—24no—
236(C2×D11)⋊C4—24no—
237(C2×D11)⋊C4—24no—
238C4⋊Dic11—24no—
239C4⋊Dic11—24no—
240C4⋊Dic11—24no—
241C4⋊Dic11—21no—
242C4⋊Dic11—21no—
243C4⋊Dic11C2×D414yes—
244C4⋊Dic11C2412yes—
245C4⋊Dic11C2412yes—
246Dic11⋊C4—24no—
247Dic11⋊C4—24no—
248Dic11⋊C4—24no—
249Dic11⋊C4—24no—
250Dic11⋊C4—24no—
251Dic11⋊C4C2×D414yes—
252Dic11⋊C4C2×D414yes—
253C4×Dic11—24no—
254C4×Dic11—24no—
255C4×Dic11—24no—
256C4×Dic11—24no—
257C4×Dic11—24no—
258C4×Dic11C2×D412yes—
259C4×Dic11C2×D412yes—
260C4×Dic11C2412yes—
261C4×Dic11C2412yes—
262C2×C11⋊C8—22no—
263C2×C11⋊C8—22no—
264C2×C11⋊C8C2412yes—
265C2×C11⋊C8C2412yes—
266#4314—28no—
267C2×#557—111no—
268C2×#556—111no—
269#3377—1116no—
270C2×#491D1111yescharacteristic, complemented
271C2×#489—111no—
272C2×#488—111no—
273C2×#479—111no—
274C2×#477—111no—
275C2×#478—111no—
276C2×#464—111no—
277C2×#464—111no—
278C2×#462—111no—
279C2×#446—111no—
280C2×#441—111no—
281C2×#440—111no—
282C2×C4×Q16—111no—
283C23×C11C22×D411yescharacteristic
284C22×D11—22no—
285C22×D11—42no—
286C22×D11—42no—
287C22×D11—42no—
288Q8×C11—22no—
289Q8×C11—22no—
290Q8×C11—22no—
291Q8×C11—22no—
292Q8×C11—42no—
293Q8×C11—42no—
294C2×C4×C11—22no—
295C2×C4×C11—22no—
296C2×C4×C11—22no—
297C2×C4×C11—22no—
298C2×C4×C11—22no—
299C2×C4×C11—22no—
300C2×C4×C11—42no—
301C2×C4×C11—42no—
302C2×C4×C11—42no—
303C2×C4×C11—42no—
304C2×C4×C11C22×D412yes—
305C2×C4×C11C22×D412yes—
306C2×C4×C11C22×D411yescharacteristic
307C2×C4×C11C2×#4112yes—
308C2×C4×C112−1+412yes—
309C2×C4×C11C2511yescharacteristic
310C2×Dic11—24no—
311C2×Dic11—22no—
312C2×Dic11—22no—
313C2×Dic11—22no—
314C2×Dic11—22no—
315C2×Dic11—22no—
316C2×Dic11—22no—
317C2×Dic11—22no—
318C2×Dic11—42no—
319C2×Dic11—42no—
320C2×Dic11C22×D412yes—
321C2×Dic11C22×D412yes—
322C2×Dic11C22×D412yes—
323C2×Dic11C22×D412yes—
324D44—22no—
325D44—22no—
326D44—42no—
327C4×D11—48no—
328Dic22—24no—
329Dic22—22no—
330Dic22—44no—
331Dic22—48no—
332Dic22C2×#4114yes—
333C8×C11—22no—
334C8×C11—22no—
335C11⋊C8—22no—
336C11⋊C8—22no—
337C22×Q16—111no—
338C22×Q16—111no—
339C22×SD16—111no—
340#557—118no—
341#557—224no—
342#556—118no—
343#556—224no—
344C2×C4⋊Q8—111no—
345C2×C4⋊Q8—221no—
346C2×C4⋊Q8C2×D1111yescharacteristic
347C2×#126—221no—
348C2×#126—221no—
349C2×#125—111no—
350C2×#125—221no—
351C2×#125—221no—
352C2×#125C2×D1111yescharacteristic
353C2×#124—111no—
354C2×#124—111no—
355C2×C22⋊Q8—221no—
356C2×C4×Q8—111no—
357C2×C4×Q8—111no—
358C2×C4×Q8—111no—
359C2×C4×Q8—111no—
360C2×C4×Q8—111no—
361C2×C4×Q8—111no—
362C2×C4×Q8—221no—
363C2×C4×D4—111no—
364C2×#117—221no—
365#491C2×D1118yescomplemented
366#489—118no—
367#488—118no—
368#479—118no—
369#478—118no—
370#477—118no—
371#464—118no—
372#464—118no—
373#462—118no—
374#446—118no—
375#441—118no—
376#440—118no—
377C4×Q16—118no—
378C2×#107—111no—
379C2×#107—111no—
380C2×#106—111no—
381C2×C4⋊C8—111no—
382C2×C4⋊C8—111no—
383C2×C4⋊C8—111no—
384C2×#103—111no—
385C2×#103—111no—
386C2×#103—111no—
387C2×#103C2×D1111yescharacteristic
388C2×#103C2×D1111yescharacteristic
389C2×#103C2×D1111yescharacteristic
390C2×#103C2×D1111yescharacteristic
391C2×#102—111no—
392C2×#102—111no—
393C2×#102—111no—
394C2×#97—111no—
395C2×#97C2×D1111yescharacteristic
396C2×C4×C8—111no—
397C22×C11#54812yes—
398C22×C11#57512yes—
399C22×C11#57812yes—
400C22×C11C23×D411yescharacteristic
401C2×D11—42no—
402C2×D11—42no—
403C2×D11—42no—
404C2×D11—84no—
405C4×C11—22no—
406C4×C11—22no—
407C4×C11—42no—
408C4×C11—42no—
409C4×C11—42no—
410C4×C11—42no—
411C4×C11#54812yes—
412C4×C11C22×#4111yescharacteristic
413C4×C11C2×2−1+411yescharacteristic
414Dic11—24no—
415Dic11—22no—
416Dic11—22no—
417Dic11—22no—
418Dic11—22no—
419Dic11—42no—
420Dic11—42no—
421C22×Q8—111no—
422C22×Q8—111no—
423C22×Q8—221no—
424C22×Q8C22×D1111yescharacteristic
425C22×Q8C22×D1111yescharacteristic
426C22×D4—111no—
427C23×C4—221no—
428C2×Q16—114no—
429C2×Q16—114no—
430C2×Q16—224no—
431C2×Q16—224no—
432C2×SD16—114no—
433C2×SD16—224no—
434C22×C8—111no—
435C22×C8—111no—
436C22×C8C22×D1111yescharacteristic
437C22×C8C22×D1111yescharacteristic
438C4⋊Q8—22no—
439C4⋊Q8—114no—
440C4⋊Q8—222no—
441C4⋊Q8—228no—
442C4⋊Q8C22×D1114yes—
443#126—228no—
444#126—228no—
445#125—22no—
446#125—114no—
447#125—222no—
448#125—228no—
449#125—228no—
450#125C22×D1114yes—
451#124—114no—
452#124—114no—
453#124—222no—
454#124—222no—
455C22⋊Q8—228no—
456C4×Q8—114no—
457C4×Q8—114no—
458C4×Q8—114no—
459C4×Q8—114no—
460C4×Q8—114no—
461C4×Q8—114no—
462C4×Q8—114no—
463C4×Q8—222no—
464C4×Q8—222no—
465C4×Q8—222no—
466C4×Q8—222no—
467C4×Q8—228no—
468C4×Q8—222no—
469C4×D4—114no—
470C4×D4—222no—
471#117—228no—
472C2×C4⋊C4—21no—
473C2×C4⋊C4—21no—
474C2×C4⋊C4—21no—
475C2×C4⋊C4—21no—
476C2×C4⋊C4—111no—
477C2×C4⋊C4—111no—
478C2×C4⋊C4—111no—
479C2×C4⋊C4—111no—
480C2×C4⋊C4—111no—
481C2×C4⋊C4—221no—
482C2×C4⋊C4—221no—
483C2×C4⋊C4—221no—
484C2×C4⋊C4—221no—
485C2×C4⋊C4—221no—
486C2×C4⋊C4—221no—
487C2×C4⋊C4—221no—
488C2×C4⋊C4—221no—
489C2×C4⋊C4C22×D1111yescharacteristic
490C2×C4⋊C4C22×D1111yescharacteristic
491C2×C22⋊C4—221no—
492C2×C22⋊C4—221no—
493C2×C22⋊C4—221no—
494C2×C22⋊C4—221no—
495C2×C22⋊C4—221no—
496C2×C42—111no—
497C2×C42—111no—
498C2×C42—221no—
499C2×C42—221no—
500C2×C42—221no—
501C2×C42—221no—
502C2×C42—221no—
503C2×C42C22×D1111yescharacteristic
504#107—114no—
505#107—114no—
506#106—114no—
507C4⋊C8—114no—
508C4⋊C8—114no—
509C4⋊C8—114no—
510#103—114no—
511#103—114no—
512#103—114no—
513#103C22×D1114yes—
514#103C22×D1114yes—
515#103C22×D1114yes—
516#103C22×D1114yes—
517#102—114no—
518#102—114no—
519#102—114no—
520#97—114no—
521#97C22×D1114yes—
522C4×C8—114no—
523C2×C11#337714yescomplemented
524C2×C11C2×#54811yescharacteristic
525C2×C11C2×#57511yescharacteristic
526C2×C11C2×#57811yescharacteristic
527D11—82no—
528C24—221no—
529C2×Q8—21no—
530C2×Q8—21no—
531C2×Q8—22no—
532C2×Q8—22no—
533C2×Q8—22no—
534C2×Q8—22no—
535C2×Q8—114no—
536C2×Q8—114no—
537C2×Q8—112no—
538C2×Q8—224no—
539C2×Q8—221no—
540C2×Q8—222no—
541C2×Q8—442no—
542C2×Q8—444no—
543C2×Q8C23×D1112yes—
544C2×Q8C23×D1112yes—
545C2×D4—112no—
546C2×D4—221no—
547C2×D4—222no—
548C2×D4—222no—
549C22×C4—21no—
550C22×C4—21no—
551C22×C4—21no—
552C22×C4—21no—
553C22×C4—111no—
554C22×C4—111no—
555C22×C4—111no—
556C22×C4—111no—
557C22×C4—221no—
558C22×C4—221no—
559C22×C4—221no—
560C22×C4—224no—
561C22×C4—444no—
562C22×C4D4×D1111yescharacteristic
563C22×C4D4×D1111yescharacteristic
564C22×C4C23×D1111yescharacteristic
565Q16—228no—
566Q16—228no—
567SD16—228no—
568C2×C8—22no—
569C2×C8—22no—
570C2×C8—112no—
571C2×C8—112no—
572C2×C8—222no—
573C2×C8—222no—
574C2×C8C23×D1112yes—
575C2×C8C23×D1112yes—
576C4⋊C4—24no—
577C4⋊C4—24no—
578C4⋊C4—24no—
579C4⋊C4—24no—
580C4⋊C4—21no—
581C4⋊C4—21no—
582C4⋊C4—114no—
583C4⋊C4—114no—
584C4⋊C4—114no—
585C4⋊C4—112no—
586C4⋊C4—112no—
587C4⋊C4—224no—
588C4⋊C4—224no—
589C4⋊C4—224no—
590C4⋊C4—224no—
591C4⋊C4—224no—
592C4⋊C4—224no—
593C4⋊C4—224no—
594C4⋊C4—221no—
595C4⋊C4—221no—
596C4⋊C4—224no—
597C4⋊C4C23×D1112yes—
598C4⋊C4C23×D1112yes—
599C22⋊C4—224no—
600C22⋊C4—224no—
601C22⋊C4—224no—
602C22⋊C4—224no—
603C22⋊C4—224no—
604C42—112no—
605C42—112no—
606C42—112no—
607C42—112no—
608C42—224no—
609C42—224no—
610C42—224no—
611C42—224no—
612C42—224no—
613C42D4×D1112yes—
614C42C23×D1112yes—
615C11C2×#337711yescharacteristic, complemented, Sylow
616C23—222no—
617C23—442no—
618C23—442no—
619C23—442no—
620C23C2×D4×D1111yescharacteristic
621Q8—22no—
622Q8—22no—
623Q8—22no—
624Q8—22no—
625Q8—42no—
626Q8—42no—
627Q8—114no—
628Q8—222no—
629Q8—224no—
630Q8—444no—
631Q8—448no—
632D4—222no—
633D4—222no—
634D4—442no—
635C2×C4—22no—
636C2×C4—22no—
637C2×C4—22no—
638C2×C4—22no—
639C2×C4—22no—
640C2×C4—22no—
641C2×C4—42no—
642C2×C4—42no—
643C2×C4—42no—
644C2×C4—42no—
645C2×C4—112no—
646C2×C4—112no—
647C2×C4—112no—
648C2×C4—112no—
649C2×C4—222no—
650C2×C4—222no—
651C2×C4—222no—
652C2×C4—222no—
653C2×C4—222no—
654C2×C4—224no—
655C2×C4—222no—
656C2×C4—222no—
657C2×C4—448no—
658C2×C4—442no—
659C2×C4—442no—
660C2×C4C2×D4×D1112yes—
661C2×C4C2×D4×D1112yes—
662C2×C4C2×D4×D1111yescharacteristic
663C2×C4#41×D1112yes—
664C2×C4#6704312yes—
665C2×C4C24×D1111yescharacteristic
666C8—22no—
667C8—22no—
668C8—222no—
669C8—222no—
670C22—442no—
671C22—442no—
672C22—442no—
673C22—884no—
674C22#1062320812yes—
675C22#1062330812yes—
676C22#1062331012yes—
677C22C22×D4×D1111yescharacteristic
678C4—22no—
679C4—22no—
680C4—42no—
681C4—42no—
682C4—42no—
683C4—42no—
684C4—224no—
685C4—222no—
686C4—222no—
687C4—222no—
688C4—222no—
689C4—442no—
690C4—442no—
691C4#1062320812yes—
692C4C2×#41×D1111yescharacteristic
693C4C2×#6704311yescharacteristic
694C2—882no—
695C2#1308145314yesdirect product factor
696C2C2×#1062320811yescharacteristic
697C2C2×#1062330811yescharacteristic
698C2C2×#1062331011yescharacteristic
subgroupG/H
centerC23C2×D4×D11
commutator, cosocleC2×C4×C11C25
FrattiniC2×C4C24×D11
FittingC2×C11×#491C2
socleC23×C11C22×D4
prime radicalC22×D44C23
hypercenterC2×#491D11
hypocenterC11C2×#3377
LCSG ▷ C2×C4×C11 ▷ C2×C11 ▷ C11
UCSC1 ◁ C23 ◁ C2×C42 ◁ C2×#491

Complements

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

NH ≅ G/Ntype
1. C2×#10623216C2semidirect
3. #13081453C2direct (N × H)
6. C2×#10622409C2semidirect
7. C2×#10622407C2semidirect
11. C2×#10622703C2semidirect
12. C2×#10622314C2semidirect
13. C2×#10622402C2semidirect
15. C2×#10622403C2semidirect
16. C2×C11×#491C2semidirect
29. #10623216C22semidirect
45. C11×#491C22semidirect
60. #10622703C22semidirect
70. #10622409C22semidirect
72. #10622407C22semidirect
73. #10622403C22semidirect
74. #10622402C22semidirect
76. #10622314C22semidirect
270. C2×#491D11semidirect
365. #491C2×D11semidirect
523. C2×C11#3377semidirect
615. C11C2×#3377semidirect
695. C2#13081453direct (N × H)

Maximal subgroups

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

subgroupindex
C2×#106232162
C2×#106232632
#130814532
C2×#106224082
C2×#106224132
C2×#106224092
C2×#106224072
C2×#106226792
C2×#106224112
C2×#106227032
C2×#106223142
C2×#106224022
C2×#106223232
C2×#106224032
C2×C11×#4912
C2×#337711