Finite Group Databasebeta

← C2×#13079854 #15625932

Subgroups — C2×#13079854 #15625932

Order 2816.

1790 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×#10623048C211yesmaximal, characteristic, complemented
2C2×#10623131C211yesmaximal, characteristic
3#13079854C2116yesmaximal, direct product factor
4C2×#10622489C211yesmaximal, characteristic, complemented
5C2×#10622469C211yesmaximal, characteristic, complemented
6C2×#10622378C211yesmaximal, characteristic, complemented
7C2×#10622378C211yesmaximal, characteristic, complemented
8C2×#10622336C211yesmaximal, characteristic, complemented
9C2×#10622609C211yesmaximal, characteristic, complemented
10C2×#10622648C211yesmaximal, characteristic
11C2×#10622470C211yesmaximal, characteristic, complemented
12C2×#10622490C211yesmaximal, characteristic, complemented
13C2×#10622376C211yesmaximal, characteristic, complemented
14C2×#10622379C211yesmaximal, characteristic, complemented
15C2×#10622332C211yesmaximal, characteristic, complemented
16C2×C11×#482C211yesmaximal, characteristic
17C2×C11×#121C2211yescharacteristic
18C2×C11×#117C2211yescharacteristic
19C2×#66989C2211yescharacteristic
20C2×#66988—21no—
21C2×D4×Dic11—21no—
22C2×D4×Dic11C2211yescharacteristic
23C2×#66979C2211yescharacteristic
24C2×#66977C2211yescharacteristic
25C22×C4×Dic11C2211yescharacteristic
26#10623131—24no—
27#10623131C2218yes—
28#10623048—24no—
29#10623048C2218yescomplemented
30C2×#66943C2211yescharacteristic
31C2×#66943C2211yescharacteristic
32C2×#66943C2211yescharacteristic
33C2×#66941C2211yescharacteristic
34C2×#66941C2211yescharacteristic
35C2×#66940C2211yescharacteristic
36C2×#66932—21no—
37C2×#66931—21no—
38C2×#66931—21no—
39C2×#66930—21no—
40C2×C4×Dic22—21no—
41C2×C4×Dic22—21no—
42C11×#482C2218yes—
43C2×C11×#107C2211yescharacteristic
44C2×C11×#106C2211yescharacteristic
45C2×C11×#102C2211yescharacteristic
46C2×C11×#102C2211yescharacteristic
47C2×C11×C22⋊C8C2211yescharacteristic
48C2×#66896C2211yescharacteristic
49C2×#66896C2211yescharacteristic
50C2×C22⋊(C11⋊C8)C2211yescharacteristic
51C2×#66882C2211yescharacteristic
52C2×#66881C2211yescharacteristic
53C2×#66880C2211yescharacteristic
54C2×#66880C2211yescharacteristic
55C2×#66879C2211yescharacteristic
56C2×#66879C2211yescharacteristic
57C2×Dic11⋊C8C2211yescharacteristic
58C2×Dic11⋊C8C2211yescharacteristic
59#10622648C2218yes—
60#10622609C2218yescomplemented
61C2×#66874C2211yescharacteristic
62C2×#66874C2211yescharacteristic
63C2×#66872C2211yescharacteristic
64C2×#66872C2211yescharacteristic
65C2×#66871C2211yescharacteristic
66C2×#66871C2211yescharacteristic
67#10622490C2218yescomplemented
68#10622489C2218yescomplemented
69#10622470C2218yescomplemented
70#10622469C2218yescomplemented
71#10622379C2218yescomplemented
72#10622378C2218yescomplemented
73#10622378C2218yescomplemented
74#10622376C2218yescomplemented
75#10622336C2218yescomplemented
76#10622332C2218yescomplemented
77C22×D4×C11—21no—
78C22×D4×C11C2311yescharacteristic
79C23×C4×C11C2311yescharacteristic
80C23×Dic11—21no—
81C23×Dic11D411yescharacteristic
82C23×Dic11D411yescharacteristic
83C22×Dic22—21no—
84C22×Dic22—21no—
85C22×Dic22C2311yescharacteristic
86C22×C8×C11C2311yescharacteristic
87C22×C8×C11C2311yescharacteristic
88C11×#121—22no—
89C11×#121C2314yes—
90C11×#117—22no—
91C11×#117C2314yes—
92C2×C11×C4⋊C4C2311yescharacteristic
93C2×C11×C4⋊C4C2311yescharacteristic
94C2×C11×C4⋊C4C2311yescharacteristic
95C2×C11×C22⋊C4—21no—
96C2×C11×C22⋊C4—21no—
97C2×C42×C11—21no—
98C2×C22⋊Dic11—21no—
99C2×C22⋊Dic11—21no—
100C2×C22⋊Dic11—21no—
101C2×C22⋊Dic11—21no—
102C2×C22⋊Dic11—21no—
103#66989—22no—
104#66989C2314yes—
105#66988—28no—
106D4×Dic11—28no—
107D4×Dic11—22no—
108D4×Dic11C2314yes—
109#66979—22no—
110#66979C2314yes—
111C2×C4⋊Dic11—21no—
112C2×C4⋊Dic11—21no—
113C2×C4⋊Dic11—21no—
114C2×C4⋊Dic11C2311yescharacteristic
115C2×C4⋊Dic11C2311yescharacteristic
116C2×C4⋊Dic11C2311yescharacteristic
117#66977—22no—
118#66977C2314yes—
119C2×Dic11⋊C4—21no—
120C2×Dic11⋊C4—21no—
121C2×Dic11⋊C4—21no—
122C2×Dic11⋊C4—21no—
123C2×Dic11⋊C4—21no—
124C2×Dic11⋊C4—21no—
125C2×Dic11⋊C4—21no—
126C2×C4×Dic11—21no—
127C2×C4×Dic11—21no—
128C2×C4×Dic11D411yescharacteristic
129C2×C4×Dic11D411yescharacteristic
130C2×C4×Dic11D414yes—
131C2×C4×Dic11C2311yescharacteristic
132C2×C4×Dic11C2311yescharacteristic
133C2×C4×Dic11C2314yes—
134C22×C11⋊C8C2311yescharacteristic
135C22×C11⋊C8C2311yescharacteristic
136#66943—22no—
137#66943—22no—
138#66943—22no—
139#66943C2314yes—
140#66943C2314yes—
141#66943C2314yes—
142#66941—22no—
143#66941—22no—
144#66941C2314yes—
145#66941C2314yes—
146#66940—22no—
147#66940C2314yes—
148#66932—28no—
149#66931—28no—
150#66931—28no—
151#66930—28no—
152C4×Dic22—28no—
153C4×Dic22—28no—
154C11×#107C2314yes—
155C11×#106C2314yes—
156C11×#102C2314yes—
157C11×#102C2314yes—
158C11×C22⋊C8C2314yes—
159#66896C2314yes—
160#66896C2314yes—
161C22⋊(C11⋊C8)C2314yes—
162#66882C2314yes—
163#66881C2314yes—
164#66880C2314yes—
165#66880C2314yes—
166#66879C2314yes—
167#66879C2314yes—
168Dic11⋊C8C2314yes—
169Dic11⋊C8C2314yes—
170#66874C2314yes—
171#66874C2314yes—
172#66872C2314yes—
173#66872C2314yes—
174#66871C2314yes—
175#66871C2314yes—
176C2×#3240—111nomaximal, Sylow
177C24×C11—21no—
178C24×C11C2×D411yescharacteristic
179C2×D4×C11—24no—
180C2×D4×C11—21no—
181C2×D4×C11—22no—
182C2×D4×C11—22no—
183C2×D4×C11—44no—
184C2×D4×C11C2412yes—
185C22×C4×C11—22no—
186C22×C4×C11—22no—
187C22×C4×C11—21no—
188C22×C4×C11—21no—
189C22×C4×C11—21no—
190C22×C4×C11C2×D411yescharacteristic
191C22×C4×C11C2×D412yes—
192C22×C4×C11C2412yes—
193C22×C4×C11C2411yescharacteristic
194C22×Dic11—24no—
195C22×Dic11—21no—
196C22×Dic11—21no—
197C22×Dic11—21no—
198C22×Dic11—21no—
199C22×Dic11—42no—
200C22×Dic11—42no—
201C22×Dic11—44no—
202C22×Dic11C2×D411yescharacteristic
203C22×Dic11C2×D411yescharacteristic
204C22×Dic11C2×D411yescharacteristic
205C22×Dic11C2×D411yescharacteristic
206C22×Dic11C2×D414yes—
207C22×Dic11C2×D414yes—
208C2×Dic22—24no—
209C2×Dic22—24no—
210C2×Dic22—21no—
211C2×Dic22—22no—
212C2×Dic22—22no—
213C2×Dic22—44no—
214C2×Dic22—44no—
215C2×Dic22C2412yes—
216C2×C8×C11—22no—
217C2×C8×C11—22no—
218C2×C8×C11C2412yes—
219C2×C8×C11C2412yes—
220C11×C4⋊C4—21no—
221C11×C4⋊C4—21no—
222C11×C4⋊C4—21no—
223C11×C4⋊C4C2412yes—
224C11×C4⋊C4C2412yes—
225C11×C4⋊C4C2412yes—
226C11×C22⋊C4—24no—
227C11×C22⋊C4—24no—
228C42×C11—24no—
229C22⋊Dic11—24no—
230C22⋊Dic11—24no—
231C22⋊Dic11—24no—
232C22⋊Dic11—24no—
233C22⋊Dic11—24no—
234C4⋊Dic11—24no—
235C4⋊Dic11—24no—
236C4⋊Dic11—24no—
237C4⋊Dic11—21no—
238C4⋊Dic11—21no—
239C4⋊Dic11—21no—
240C4⋊Dic11C2412yes—
241C4⋊Dic11C2412yes—
242C4⋊Dic11C2412yes—
243Dic11⋊C4—24no—
244Dic11⋊C4—24no—
245Dic11⋊C4—24no—
246Dic11⋊C4—24no—
247Dic11⋊C4—24no—
248Dic11⋊C4—24no—
249Dic11⋊C4—24no—
250C4×Dic11—24no—
251C4×Dic11—24no—
252C4×Dic11C2×D414yes—
253C4×Dic11C2×D414yes—
254C4×Dic11C2×D412yes—
255C4×Dic11C2×D412yes—
256C4×Dic11C2412yes—
257C4×Dic11C2412yes—
258C2×C11⋊C8—22no—
259C2×C11⋊C8—22no—
260C2×C11⋊C8C2412yes—
261C2×C11⋊C8C2412yes—
262C2×#533—111no—
263C2×#529—111no—
264#3240—1116no—
265C2×#501—111no—
266C2×#501—111no—
267C2×#489—111no—
268C2×#489—111no—
269C2×#485—111no—
270C2×#485—111no—
271C2×#482—111no—
272C2×#482D1111yescharacteristic
273C2×#479—111no—
274C2×#479—111no—
275C2×#478—111no—
276C2×#478—111no—
277C2×#432—111no—
278C23×C11—22no—
279C23×C11—22no—
280C23×C11—22no—
281C23×C11—22no—
282C23×C11—42no—
283C23×C11—42no—
284C23×C11—42no—
285C23×C11C22×D412yes—
286C23×C11C22×D411yescharacteristic
287D4×C11—22no—
288D4×C11—22no—
289D4×C11—48no—
290D4×C11—42no—
291C2×C4×C11—22no—
292C2×C4×C11—24no—
293C2×C4×C11—22no—
294C2×C4×C11—22no—
295C2×C4×C11—22no—
296C2×C4×C11—22no—
297C2×C4×C11—22no—
298C2×C4×C11—42no—
299C2×C4×C11—42no—
300C2×C4×C11—42no—
301C2×C4×C11C22×D412yes—
302C2×C4×C11C22×D411yescharacteristic
303C2×C4×C112−1+412yes—
304C2×C4×C112−1+412yes—
305C2×C4×C11C2511yescharacteristic
306C2×Dic11—22no—
307C2×Dic11—22no—
308C2×Dic11—22no—
309C2×Dic11—22no—
310C2×Dic11—22no—
311C2×Dic11—22no—
312C2×Dic11—22no—
313C2×Dic11—22no—
314C2×Dic11—44no—
315C2×Dic11—44no—
316C2×Dic11—48no—
317C2×Dic11—42no—
318C2×Dic11—42no—
319C2×Dic11—42no—
320C2×Dic11—42no—
321C2×Dic11C22×D412yes—
322C2×Dic11C22×D412yes—
323C2×Dic11C22×D412yes—
324C2×Dic11C22×D412yes—
325Dic22—22no—
326Dic22—22no—
327Dic22—48no—
328Dic22—48no—
329Dic22—42no—
330C8×C11—22no—
331C8×C11—22no—
332C11⋊C8—22no—
333C11⋊C8—22no—
334#533—118no—
335#533—224no—
336C2×C4⋊Q8—111no—
337C2×C4⋊Q8—111no—
338#529—118no—
339#529—224no—
340C2×#126—221no—
341C2×#125—111no—
342C2×#125—111no—
343C2×#125—111no—
344C2×#124—111no—
345C2×#123—221no—
346C2×C22⋊Q8—111no—
347C2×C22⋊Q8—221no—
348C2×C22⋊Q8—221no—
349C2×#121C2×D1111yescharacteristic
350C2×C4×Q8—111no—
351C2×C4×Q8—221no—
352C2×C4×Q8—221no—
353C2×C4×D4—111no—
354C2×C4×D4—221no—
355C2×#117—111no—
356C2×#117—221no—
357C2×#117C2×D1111yescharacteristic
358C22×C42—111no—
359#501—118no—
360#501—118no—
361#489—118no—
362#489—118no—
363#485—118no—
364#485—118no—
365#482—118no—
366#482C2×D1118yes—
367#479—118no—
368#479—118no—
369#478—118no—
370#478—118no—
371#432—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⋊C8—111no—
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⋊C8C2×D1111yescharacteristic
392C2×#97—111no—
393C2×#97—111no—
394C22×C11—22no—
395C22×C11—22no—
396C22×C11—22no—
397C22×C11—44no—
398C22×C11—42no—
399C22×C11—42no—
400C22×C11—42no—
401C22×C11—84no—
402C22×C11#53612yes—
403C22×C11#57512yes—
404C22×C11#57512yes—
405C22×C11C23×D411yescharacteristic
406C4×C11—22no—
407C4×C11—42no—
408C4×C11—42no—
409C4×C11—42no—
410C4×C11#53612yes—
411C4×C11C2×2−1+411yescharacteristic
412C4×C11C2×2−1+411yescharacteristic
413Dic11—22no—
414Dic11—22no—
415Dic11—22no—
416Dic11—22no—
417Dic11—42no—
418Dic11—42no—
419Dic11—42no—
420Dic11—42no—
421C22×Q8—111no—
422C22×Q8—221no—
423C22×Q8—221no—
424C22×D4—21no—
425C22×D4C22×D1111yescharacteristic
426C23×C4—111no—
427C23×C4—111no—
428C23×C4—221no—
429C23×C4C22×D1111yescharacteristic
430C22×C8—111no—
431C22×C8—111no—
432C22×C8C22×D1111yescharacteristic
433C22×C8C22×D1111yescharacteristic
434C4⋊Q8—114no—
435C4⋊Q8—114no—
436C4⋊Q8—222no—
437C4⋊Q8—222no—
438#126—228no—
439#125—114no—
440#125—114no—
441#125—114no—
442#125—222no—
443#125—222no—
444#125—222no—
445#124—114no—
446#124—222no—
447#123—228no—
448C22⋊Q8—114no—
449C22⋊Q8—228no—
450C22⋊Q8—228no—
451C22⋊Q8—222no—
452#121—22no—
453#121C22×D1114yes—
454C4×Q8—114no—
455C4×Q8—228no—
456C4×Q8—228no—
457C4×Q8—222no—
458C4×D4—114no—
459C4×D4—222no—
460C4×D4—228no—
461#117—22no—
462#117—114no—
463#117—228no—
464#117—222no—
465#117C22×D1114yes—
466C2×C4⋊C4—111no—
467C2×C4⋊C4—111no—
468C2×C4⋊C4—111no—
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×C22⋊C4—21no—
483C2×C22⋊C4—21no—
484C2×C22⋊C4—221no—
485C2×C22⋊C4—221no—
486C2×C22⋊C4—221no—
487C2×C22⋊C4—221no—
488C2×C22⋊C4—221no—
489C2×C42—21no—
490C2×C42—111no—
491C2×C42—111no—
492C2×C42—114no—
493C2×C42—111no—
494C2×C42—111no—
495C2×C42—114no—
496C2×C42—221no—
497C2×C42—221no—
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⋊C8—114no—
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⋊C8C22×D1114yes—
518#97—114no—
519#97—114no—
520C2×C11—42no—
521C2×C11—82no—
522C2×C11#324014yescomplemented
523C2×C11C2×#53611yescharacteristic
524C2×C11C2×#57511yescharacteristic
525C2×C11C2×#57511yescharacteristic
526C24—21no—
527C24D4×D1111yescharacteristic
528C2×Q8—112no—
529C2×Q8—224no—
530C2×Q8—224no—
531C2×Q8—221no—
532C2×Q8—222no—
533C2×Q8—222no—
534C2×Q8—444no—
535C2×Q8—444no—
536C2×D4—24no—
537C2×D4—21no—
538C2×D4—22no—
539C2×D4—22no—
540C2×D4—44no—
541C2×D4C23×D1112yes—
542C22×C4—22no—
543C22×C4—22no—
544C22×C4—21no—
545C22×C4—21no—
546C22×C4—21no—
547C22×C4—111no—
548C22×C4—111no—
549C22×C4—111no—
550C22×C4—111no—
551C22×C4—114no—
552C22×C4—114no—
553C22×C4—224no—
554C22×C4—221no—
555C22×C4—221no—
556C22×C4—221no—
557C22×C4—221no—
558C22×C4—442no—
559C22×C4—442no—
560C22×C4—444no—
561C22×C4D4×D1112yes—
562C22×C4D4×D1111yescharacteristic
563C22×C4C23×D1112yes—
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—21no—
574C4⋊C4—21no—
575C4⋊C4—21no—
576C4⋊C4—112no—
577C4⋊C4—112no—
578C4⋊C4—112no—
579C4⋊C4—224no—
580C4⋊C4—224no—
581C4⋊C4—224no—
582C4⋊C4—224no—
583C4⋊C4—224no—
584C4⋊C4—224no—
585C4⋊C4—224no—
586C4⋊C4—224no—
587C4⋊C4—224no—
588C4⋊C4—221no—
589C4⋊C4—221no—
590C4⋊C4—221no—
591C4⋊C4—224no—
592C4⋊C4C23×D1112yes—
593C4⋊C4C23×D1112yes—
594C4⋊C4C23×D1112yes—
595C22⋊C4—24no—
596C22⋊C4—24no—
597C22⋊C4—224no—
598C22⋊C4—224no—
599C22⋊C4—224no—
600C22⋊C4—224no—
601C22⋊C4—224no—
602C42—24no—
603C42—114no—
604C42—112no—
605C42—114no—
606C42—112no—
607C42—112no—
608C42—112no—
609C42—224no—
610C42—224no—
611C11C2×#324011yescharacteristic, complemented, Sylow
612C23—22no—
613C23—22no—
614C23—22no—
615C23—22no—
616C23—42no—
617C23—42no—
618C23—42no—
619C23C2×D4×D1112yes—
620C23C2×D4×D1111yescharacteristic
621Q8—222no—
622Q8—222no—
623Q8—448no—
624Q8—448no—
625Q8—442no—
626D4—22no—
627D4—22no—
628D4—48no—
629D4—42no—
630C2×C4—22no—
631C2×C4—24no—
632C2×C4—22no—
633C2×C4—22no—
634C2×C4—22no—
635C2×C4—22no—
636C2×C4—22no—
637C2×C4—42no—
638C2×C4—42no—
639C2×C4—42no—
640C2×C4—112no—
641C2×C4—112no—
642C2×C4—112no—
643C2×C4—112no—
644C2×C4—222no—
645C2×C4—222no—
646C2×C4—222no—
647C2×C4—222no—
648C2×C4—222no—
649C2×C4—222no—
650C2×C4—222no—
651C2×C4—222no—
652C2×C4—444no—
653C2×C4—444no—
654C2×C4—448no—
655C2×C4—442no—
656C2×C4—442no—
657C2×C4—442no—
658C2×C4—442no—
659C2×C4C2×D4×D1112yes—
660C2×C4C2×D4×D1111yescharacteristic
661C2×C4#6704312yes—
662C2×C4#6704312yes—
663C2×C4C24×D1111yescharacteristic
664C8—22no—
665C8—22no—
666C8—222no—
667C8—222no—
668C22—22no—
669C22—22no—
670C22—22no—
671C22—44no—
672C22—42no—
673C22—42no—
674C22—42no—
675C22—84no—
676C22#1062317912yes—
677C22#1062329912yes—
678C22#1062330412yes—
679C22C22×D4×D1111yescharacteristic
680C4—22no—
681C4—42no—
682C4—42no—
683C4—42no—
684C4—222no—
685C4—222no—
686C4—222no—
687C4—222no—
688C4—442no—
689C4—442no—
690C4—442no—
691C4—442no—
692C4#1062317912yes—
693C4C2×#6704311yescharacteristic
694C4C2×#6704311yescharacteristic
695C2—42no—
696C2—82no—
697C2#1307985414yesdirect product factor
698C2C2×#1062317911yescharacteristic
699C2C2×#1062330411yescharacteristic
700C2C2×#1062329911yescharacteristic
subgroupG/H
centerC23C2×D4×D11
commutator, cosocleC2×C4×C11C25
FrattiniC2×C4C24×D11
FittingC2×C11×#482C2
socleC23×C11C22×D4
prime radicalC2×C11×#121C22
hypercenterC2×#482D11
hypocenterC11C2×#3240
LCSG ▷ C2×C4×C11 ▷ C2×C11 ▷ C11
UCSC1 ◁ C23 ◁ C23×C4 ◁ C2×#482

Complements

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

NH ≅ G/Ntype
1. C2×#10623048C2semidirect
3. #13079854C2direct (N × H)
4. C2×#10622489C2semidirect
5. C2×#10622469C2semidirect
6. C2×#10622378C2semidirect
7. C2×#10622378C2semidirect
8. C2×#10622336C2semidirect
9. C2×#10622609C2semidirect
11. C2×#10622470C2semidirect
12. C2×#10622490C2semidirect
13. C2×#10622376C2semidirect
14. C2×#10622379C2semidirect
15. C2×#10622332C2semidirect
29. #10623048C22semidirect
60. #10622609C22semidirect
67. #10622490C22semidirect
68. #10622489C22semidirect
69. #10622470C22semidirect
70. #10622469C22semidirect
71. #10622379C22semidirect
72. #10622378C22semidirect
73. #10622378C22semidirect
74. #10622376C22semidirect
75. #10622336C22semidirect
76. #10622332C22semidirect
522. C2×C11#3240semidirect
611. C11C2×#3240semidirect
697. C2#13079854direct (N × H)

Maximal subgroups

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

subgroupindex
C2×#106230482
C2×#106231312
#130798542
C2×#106224892
C2×#106224692
C2×#106223782
C2×#106223362
C2×#106226092
C2×#106226482
C2×#106224702
C2×#106224902
C2×#106223762
C2×#106223792
C2×#106223322
C2×C11×#4822
C2×#324011