Finite Group Databasebeta

← C2×#13079393 #15624321

Subgroups — C2×#13079393 #15624321

Order 2816.

2374 conjugacy classes of subgroups.

The subgroup lattice has 666 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×#66977C211yesmaximal, characteristic, complemented
2#13079393C2116yesmaximal, direct product factor
3C2×#10622609C212yesmaximal, complemented
4C2×#10622656C211yesmaximal, characteristic, complemented
5C2×#10622646C211yesmaximal, characteristic, complemented
6C2×#10622664C212yesmaximal, complemented
7C2×#10622654C212yesmaximal, complemented
8C2×#10622852C212yesmaximal, complemented
9C2×#10622663C211yesmaximal, characteristic, complemented
10C2×#10622653C211yesmaximal, characteristic, complemented
11C22×C22⋊(C11⋊C8)C211yesmaximal, characteristic, complemented
12C2×C11×#525C211yesmaximal, characteristic
13C22×C11×#41C2211yescharacteristic
14C24×C4×C11C2211yescharacteristic
15C23×Dic22C2211yescharacteristic
16C11×#525—24no—
17C11×#525C2218yes—
18C2×C11×#123—21no—
19C2×C11×C22⋊Q8C2211yescharacteristic
20C2×C11×C22⋊Q8C2211yescharacteristic
21C2×C11×#121C2211yescharacteristic
22C2×C11×#121C2211yescharacteristic
23C2×C11×#120—21no—
24C2×C4×D4×C11—21no—
25C2×C4×D4×C11—21no—
26C2×C11×#117C2211yescharacteristic
27C22×C22⋊Dic11—21no—
28C22×#4326C2212yescomplemented
29C22×#4324C2212yescomplemented
30C22×C4⋊Dic11C2211yescharacteristic
31C2×#66977—21no—
32C2×#66977—21no—
33C2×#66977—24no—
34C2×#66977C2212yes—
35C2×#66977C2212yes—
36C2×#66977C2218yescomplemented
37C22×Dic11⋊C4—21no—
38C23×C11⋊C8C2212yes—
39#10622852C22116yescomplemented
40C2×#66899C2212yescomplemented
41C2×#66896C2212yescomplemented
42C2×C22⋊(C11⋊C8)C2211yescharacteristic
43C2×C22⋊(C11⋊C8)C2211yescharacteristic
44C2×C22⋊(C11⋊C8)C2212yes—
45C2×C22⋊(C11⋊C8)C2218yescomplemented
46#10622664C22116yescomplemented
47#10622663C2218yescomplemented
48#10622656C2218yescomplemented
49#10622654C22116yescomplemented
50#10622653C2218yescomplemented
51#10622646C2218yescomplemented
52#10622609C22116yescomplemented
53C2×#66874C2212yescomplemented
54C2×#66874C2212yescomplemented
55C2×#66872C2212yescomplemented
56C2×#66871C2212yescomplemented
57C25×C11D411yescharacteristic
58C2×C11×#41—22no—
59C2×C11×#41—44no—
60C2×C11×#41C2314yes—
61C22×Q8×C11C2311yescharacteristic
62C22×D4×C11—21no—
63C22×D4×C11—21no—
64C22×D4×C11—21no—
65C22×D4×C11C2311yescharacteristic
66C23×C4×C11—21no—
67C23×C4×C11—44no—
68C23×C4×C11D411yescharacteristic
69C23×C4×C11D411yescharacteristic
70C23×C4×C11D411yescharacteristic
71C23×C4×C11D414yes—
72C23×C4×C11C2311yescharacteristic
73C23×C4×C11C2311yescharacteristic
74C23×C4×C11C2311yescharacteristic
75C23×C4×C11C2314yes—
76C23×Dic11—21no—
77C23×Dic11—21no—
78C22×Dic22—21no—
79C22×Dic22—22no—
80C22×Dic22—44no—
81C22×Dic22C2312yes—
82C22×Dic22C2314yes—
83C11×#123—28no—
84C11×C22⋊Q8—22no—
85C11×C22⋊Q8—22no—
86C11×C22⋊Q8C2314yes—
87C11×C22⋊Q8C2314yes—
88C11×#121—22no—
89C11×#121—22no—
90C11×#121C2314yes—
91C11×#121C2314yes—
92C11×#120—28no—
93C4×D4×C11—28no—
94C4×D4×C11—28no—
95C11×#117—22no—
96C11×#117C2314yes—
97C2×C11×C4⋊C4—21no—
98C2×C11×C4⋊C4—21no—
99C2×C11×C4⋊C4C2311yescharacteristic
100C2×C11×C4⋊C4C2311yescharacteristic
101C2×C11×C22⋊C4—21no—
102C2×C11×C22⋊C4—21no—
103C2×C11×C22⋊C4—21no—
104C2×C11×C22⋊C4—21no—
105C2×C11×C22⋊C4—21no—
106C2×C42×C11—21no—
107C2×C22⋊Dic11—22no—
108C2×C22⋊Dic11—22no—
109C2×C22⋊Dic11—28no—
110C2×#4326—44no—
111C2×#4326C2318yescomplemented
112C2×#4324—44no—
113C2×#4324C2318yescomplemented
114C2×C4⋊Dic11—21no—
115C2×C4⋊Dic11—22no—
116C2×C4⋊Dic11C2312yes—
117C2×C4⋊Dic11C2314yes—
118#66977—24no—
119#66977—24no—
120#66977—28no—
121#66977—28no—
122#66977C2318yes—
123#66977C2318yes—
124C2×Dic11⋊C4—22no—
125C2×Dic11⋊C4—22no—
126C2×Dic11⋊C4—28no—
127C22×C11⋊C8—44no—
128C22×C11⋊C8C2312yes—
129C22×C11⋊C8C2312yes—
130C22×C11⋊C8C2318yes—
131#66899C2318yescomplemented
132#66896C2318yescomplemented
133C22⋊(C11⋊C8)C2318yes—
134C22⋊(C11⋊C8)C2314yes—
135C22⋊(C11⋊C8)C2314yes—
136#66874C2318yescomplemented
137#66874C2318yescomplemented
138#66872C2318yescomplemented
139#66871C2318yescomplemented
140C2×#3190—111nomaximal, Sylow
141C24×C11—24no—
142C24×C11—24no—
143C24×C11—21no—
144C24×C11—42no—
145C24×C11C2×D411yescharacteristic
146C24×C11C2×D414yes—
147C24×C11C2×D411yescharacteristic
148C24×C11C2×D411yescharacteristic
149C11×#41—48no—
150C11×#41—48no—
151C2×Q8×C11—21no—
152C2×Q8×C11—24no—
153C2×Q8×C11C2412yes—
154C2×D4×C11—24no—
155C2×D4×C11—24no—
156C2×D4×C11—24no—
157C2×D4×C11—21no—
158C2×D4×C11—24no—
159C2×D4×C11—44no—
160C2×D4×C11—44no—
161C2×D4×C11—44no—
162C2×D4×C11C2412yes—
163C22×C4×C11—24no—
164C22×C4×C11—24no—
165C22×C4×C11—24no—
166C22×C4×C11—21no—
167C22×C4×C11—21no—
168C22×C4×C11—21no—
169C22×C4×C11—24no—
170C22×C4×C11—48no—
171C22×C4×C11—48no—
172C22×C4×C11—42no—
173C22×C4×C11—42no—
174C22×C4×C11—42no—
175C22×C4×C11—44no—
176C22×C4×C11C2×D411yescharacteristic
177C22×C4×C11C2×D411yescharacteristic
178C22×C4×C11C2×D412yes—
179C22×C4×C11C2×D412yes—
180C22×C4×C11C2×D411yescharacteristic
181C22×C4×C11C2×D412yes—
182C22×C4×C11C2×D414yes—
183C22×C4×C11C2×D414yes—
184C22×C4×C11C2×D414yes—
185C22×C4×C11C2412yes—
186C22×C4×C11C2412yes—
187C22×C4×C11C2412yes—
188C22×C4×C11C2411yescharacteristic
189C22×Dic11—24no—
190C22×Dic11—22no—
191C22×Dic11—24no—
192C22×Dic11—22no—
193C22×Dic11—44no—
194C22×Dic11—44no—
195C2×Dic22—24no—
196C2×Dic22—22no—
197C2×Dic22—24no—
198C2×Dic22—24no—
199C2×Dic22—48no—
200C2×Dic22—44no—
201C2×Dic22—48no—
202C2×Dic22C2414yes—
203C11×C4⋊C4—24no—
204C11×C4⋊C4—24no—
205C11×C4⋊C4—21no—
206C11×C4⋊C4—21no—
207C11×C4⋊C4C2412yes—
208C11×C4⋊C4C2412yes—
209C11×C22⋊C4—24no—
210C11×C22⋊C4—24no—
211C11×C22⋊C4—24no—
212C11×C22⋊C4—24no—
213C11×C22⋊C4—24no—
214C42×C11—24no—
215C22⋊Dic11—28no—
216C22⋊Dic11—28no—
217#4326—48no—
218#4324—48no—
219C4⋊Dic11—24no—
220C4⋊Dic11—22no—
221C4⋊Dic11C2414yes—
222Dic11⋊C4—28no—
223Dic11⋊C4—28no—
224C2×C11⋊C8—24no—
225C2×C11⋊C8—24no—
226C2×C11⋊C8—48no—
227C2×C11⋊C8C2414yes—
228C2×C11⋊C8C2414yes—
229C2×#525D1111yescharacteristic
230C22×C22⋊Q8—111no—
231#3190—1116no—
232C2×#485—112no—
233C2×#483—111no—
234C2×#480—111no—
235C2×#467—112no—
236C2×#465—112no—
237C2×#452—112no—
238C2×#451—111no—
239C2×#448—111no—
240C22×C22⋊C8—111no—
241C23×C11—22no—
242C23×C11—22no—
243C23×C11—22no—
244C23×C11—22no—
245C23×C11—22no—
246C23×C11—28no—
247C23×C11—22no—
248C23×C11—28no—
249C23×C11—22no—
250C23×C11—22no—
251C23×C11—44no—
252C23×C11—416no—
253C23×C11—42no—
254C23×C11—42no—
255C23×C11—42no—
256C23×C11#13514yes—
257C23×C11#13714yes—
258C23×C11C22×D412yes—
259C23×C11C22×D412yes—
260C23×C11C22×D412yes—
261C23×C11C22×D411yescharacteristic
262Q8×C11—24no—
263Q8×C11—42no—
264D4×C11—24no—
265D4×C11—48no—
266D4×C11—48no—
267D4×C11—48no—
268D4×C11—42no—
269C2×C4×C11—22no—
270C2×C4×C11—22no—
271C2×C4×C11—22no—
272C2×C4×C11—24no—
273C2×C4×C11—24no—
274C2×C4×C11—24no—
275C2×C4×C11—24no—
276C2×C4×C11—24no—
277C2×C4×C11—24no—
278C2×C4×C11—22no—
279C2×C4×C11—22no—
280C2×C4×C11—22no—
281C2×C4×C11—44no—
282C2×C4×C11—44no—
283C2×C4×C11—44no—
284C2×C4×C11—48no—
285C2×C4×C11—42no—
286C2×C4×C11—42no—
287C2×C4×C11—42no—
288C2×C4×C11C22×D412yes—
289C2×C4×C11C22×D412yes—
290C2×C4×C11C22×D412yes—
291C2×C4×C11C22×D411yescharacteristic
292C2×C4×C11H(5,𝔽2)14yes—
293C2×C4×C11C2511yescharacteristic
294C2×Dic11—24no—
295C2×Dic11—24no—
296C2×Dic11—48no—
297C2×Dic11—44no—
298C2×Dic11—48no—
299C2×Dic11—44no—
300Dic22—24no—
301Dic22—24no—
302Dic22—48no—
303Dic22—44no—
304C11⋊C8—24no—
305C11⋊C8—24no—
306C22×#41C2×D1111yescharacteristic
307C23×Q8—111no—
308C24×C4C2×D1111yescharacteristic
309C22×Q16—112no—
310C22×SD16—112no—
311C23×C8—112no—
312#525—24no—
313#525C2×D1118yes—
314C2×#123—21no—
315C2×C22⋊Q8—112no—
316C2×C22⋊Q8—112no—
317C2×C22⋊Q8—118no—
318C2×C22⋊Q8—221no—
319C2×C22⋊Q8—221no—
320C2×C22⋊Q8—224no—
321C2×C22⋊Q8C2×D1111yescharacteristic
322C2×C22⋊Q8C2×D1111yescharacteristic
323C2×#121C2×D1111yescharacteristic
324C2×#121C2×D1111yescharacteristic
325C2×#120—21no—
326C2×C4×D4—21no—
327C2×C4×D4—21no—
328C2×#117C2×D1111yescharacteristic
329C22×C4⋊C4—111no—
330C22×C4⋊C4—221no—
331C22×C22⋊C4—221no—
332#485—1116no—
333#483—118no—
334#480—118no—
335#467—1116no—
336#465—1116no—
337#452—1116no—
338#451—118no—
339#448—118no—
340C2×#107—112no—
341C2×#106—112no—
342C2×#103—112no—
343C2×#103—112no—
344C2×#103—112no—
345C2×#102—112no—
346C2×C22⋊C8—111no—
347C2×C22⋊C8—111no—
348C2×C22⋊C8—112no—
349C2×C22⋊C8—118no—
350C22×C11—22no—
351C22×C11—22no—
352C22×C11—28no—
353C22×C11—28no—
354C22×C11—22no—
355C22×C11—22no—
356C22×C11—22no—
357C22×C11—22no—
358C22×C11—22no—
359C22×C11—416no—
360C22×C11—44no—
361C22×C11—42no—
362C22×C11—42no—
363C22×C11—42no—
364C22×C11—84no—
365C22×C11#53412yes—
366C22×C11C2×#13514yes—
367C22×C11C2×#13512yes—
368C22×C11C2×#13714yes—
369C22×C11C2×#13712yes—
370C22×C11C23×D411yescharacteristic
371C4×C11—22no—
372C4×C11—22no—
373C4×C11—22no—
374C4×C11—42no—
375C4×C11—42no—
376C4×C11—42no—
377C4×C11#53412yes—
378C4×C11C2×H(5,𝔽2)12yes—
379Dic11—44no—
380Dic11—44no—
381C25C22⋊D1111yescharacteristic
382C2×#41—22no—
383C2×#41—44no—
384C2×#41C22×D1114yes—
385C22×Q8—112no—
386C22×Q8—114no—
387C22×Q8—222no—
388C22×Q8—221no—
389C22×Q8—444no—
390C22×Q8C22×D1111yescharacteristic
391C22×D4—21no—
392C22×D4—21no—
393C22×D4—21no—
394C22×D4C22×D1111yescharacteristic
395C23×C4—21no—
396C23×C4—44no—
397C23×C4—221no—
398C23×C4—221no—
399C23×C4C22⋊D1111yescharacteristic
400C23×C4C22⋊D1111yescharacteristic
401C23×C4C22⋊D1111yescharacteristic
402C23×C4C22⋊D1114yes—
403C23×C4C22×D1111yescharacteristic
404C23×C4C22×D1111yescharacteristic
405C23×C4C22×D1111yescharacteristic
406C23×C4C22×D1114yes—
407C2×Q16—118no—
408C2×Q16—444no—
409C2×SD16—118no—
410C2×SD16—444no—
411C22×C8—112no—
412C22×C8—112no—
413C22×C8—118no—
414C22×C8—444no—
415#123—28no—
416C22⋊Q8—22no—
417C22⋊Q8—22no—
418C22⋊Q8—118no—
419C22⋊Q8—118no—
420C22⋊Q8—224no—
421C22⋊Q8—224no—
422C22⋊Q8—228no—
423C22⋊Q8—228no—
424C22⋊Q8C22×D1114yes—
425C22⋊Q8C22×D1114yes—
426#121—22no—
427#121—22no—
428#121C22×D1114yes—
429#121C22×D1114yes—
430#120—28no—
431C4×D4—28no—
432C4×D4—28no—
433#117—22no—
434#117C22×D1114yes—
435C2×C4⋊C4—21no—
436C2×C4⋊C4—21no—
437C2×C4⋊C4—112no—
438C2×C4⋊C4—114no—
439C2×C4⋊C4—222no—
440C2×C4⋊C4—221no—
441C2×C4⋊C4—228no—
442C2×C4⋊C4—222no—
443C2×C4⋊C4—222no—
444C2×C4⋊C4C22×D1111yescharacteristic
445C2×C4⋊C4C22×D1111yescharacteristic
446C2×C22⋊C4—21no—
447C2×C22⋊C4—21no—
448C2×C22⋊C4—21no—
449C2×C22⋊C4—21no—
450C2×C22⋊C4—21no—
451C2×C22⋊C4—228no—
452C2×C22⋊C4—222no—
453C2×C22⋊C4—222no—
454C2×C42—21no—
455#107—118no—
456#106—118no—
457#103—118no—
458#103—118no—
459#103—118no—
460#102—118no—
461C22⋊C8—114no—
462C22⋊C8—114no—
463C22⋊C8—118no—
464C2×C11—24no—
465C2×C11—24no—
466C2×C11—42no—
467C2×C11—82no—
468C2×C11#319014yescomplemented
469C2×C11C2×#53411yescharacteristic
470C2×C11C22×#13511yescharacteristic
471C2×C11C22×#13711yescharacteristic
472C24—24no—
473C24—24no—
474C24—21no—
475C24—42no—
476C24C2×C22⋊D1111yescharacteristic
477C24C2×C22⋊D1114yes—
478C24C2×C22⋊D1111yescharacteristic
479C24C2×C22⋊D1111yescharacteristic
480#41—48no—
481#41—48no—
482C2×Q8—21no—
483C2×Q8—24no—
484C2×Q8—114no—
485C2×Q8—224no—
486C2×Q8—222no—
487C2×Q8—224no—
488C2×Q8—224no—
489C2×Q8—448no—
490C2×Q8—444no—
491C2×Q8—448no—
492C2×Q8C23×D1112yes—
493C2×D4—24no—
494C2×D4—24no—
495C2×D4—24no—
496C2×D4—24no—
497C2×D4—21no—
498C2×D4—44no—
499C2×D4—44no—
500C2×D4—44no—
501C2×D4C23×D1112yes—
502C22×C4—24no—
503C22×C4—24no—
504C22×C4—24no—
505C22×C4—21no—
506C22×C4—21no—
507C22×C4—21no—
508C22×C4—24no—
509C22×C4—48no—
510C22×C4—48no—
511C22×C4—42no—
512C22×C4—42no—
513C22×C4—42no—
514C22×C4—44no—
515C22×C4—224no—
516C22×C4—224no—
517C22×C4—222no—
518C22×C4—222no—
519C22×C4—444no—
520C22×C4—444no—
521C22×C4C2×C22⋊D1112yes—
522C22×C4C2×C22⋊D1112yes—
523C22×C4C2×C22⋊D1112yes—
524C22×C4C2×C22⋊D1111yescharacteristic
525C22×C4C2×C22⋊D1111yescharacteristic
526C22×C4C2×C22⋊D1111yescharacteristic
527C22×C4C2×C22⋊D1114yes—
528C22×C4C2×C22⋊D1114yes—
529C22×C4C2×C22⋊D1114yes—
530C22×C4C23×D1112yes—
531C22×C4C23×D1112yes—
532C22×C4C23×D1112yes—
533C22×C4C23×D1111yescharacteristic
534Q16—448no—
535SD16—448no—
536C2×C8—114no—
537C2×C8—114no—
538C2×C8—224no—
539C2×C8—224no—
540C2×C8—448no—
541C4⋊C4—24no—
542C4⋊C4—24no—
543C4⋊C4—21no—
544C4⋊C4—21no—
545C4⋊C4—114no—
546C4⋊C4—224no—
547C4⋊C4—222no—
548C4⋊C4—228no—
549C4⋊C4—228no—
550C4⋊C4C23×D1112yes—
551C4⋊C4C23×D1112yes—
552C22⋊C4—24no—
553C22⋊C4—24no—
554C22⋊C4—24no—
555C22⋊C4—24no—
556C22⋊C4—24no—
557C22⋊C4—228no—
558C22⋊C4—228no—
559C42—24no—
560C11C2×#319011yescharacteristic, complemented, Sylow
561C23—22no—
562C23—22no—
563C23—22no—
564C23—22no—
565C23—22no—
566C23—28no—
567C23—22no—
568C23—28no—
569C23—22no—
570C23—22no—
571C23—44no—
572C23—416no—
573C23—42no—
574C23—42no—
575C23—42no—
576C23#6700314yes—
577C23#6700414yes—
578C23C22×C22⋊D1112yes—
579C23C22×C22⋊D1112yes—
580C23C22×C22⋊D1112yes—
581C23C22×C22⋊D1111yescharacteristic
582Q8—24no—
583Q8—42no—
584Q8—224no—
585Q8—224no—
586Q8—448no—
587Q8—444no—
588D4—24no—
589D4—48no—
590D4—48no—
591D4—48no—
592D4—42no—
593C2×C4—22no—
594C2×C4—22no—
595C2×C4—22no—
596C2×C4—24no—
597C2×C4—24no—
598C2×C4—24no—
599C2×C4—24no—
600C2×C4—24no—
601C2×C4—24no—
602C2×C4—22no—
603C2×C4—22no—
604C2×C4—22no—
605C2×C4—44no—
606C2×C4—44no—
607C2×C4—44no—
608C2×C4—48no—
609C2×C4—42no—
610C2×C4—42no—
611C2×C4—42no—
612C2×C4—224no—
613C2×C4—224no—
614C2×C4—448no—
615C2×C4—444no—
616C2×C4—448no—
617C2×C4—444no—
618C2×C4#6703714yes—
619C2×C4C22×C22⋊D1112yes—
620C2×C4C22×C22⋊D1112yes—
621C2×C4C22×C22⋊D1112yes—
622C2×C4C22×C22⋊D1111yescharacteristic
623C2×C4C24×D1111yescharacteristic
624C8—224no—
625C8—224no—
626C22—22no—
627C22—22no—
628C22—28no—
629C22—28no—
630C22—22no—
631C22—22no—
632C22—22no—
633C22—22no—
634C22—22no—
635C22—416no—
636C22—44no—
637C22—42no—
638C22—42no—
639C22—42no—
640C22—84no—
641C22#1062333512yes—
642C22C2×#6700314yes—
643C22C2×#6700312yes—
644C22C2×#6700414yes—
645C22C2×#6700412yes—
646C22C23×C22⋊D1111yescharacteristic
647C4—22no—
648C4—22no—
649C4—22no—
650C4—42no—
651C4—42no—
652C4—42no—
653C4—444no—
654C4—444no—
655C4#1062333512yes—
656C4C2×#6703712yes—
657C2—24no—
658C2—24no—
659C2—42no—
660C2—82no—
661C2#1307939314yesdirect product factor
662C2C2×#1062333511yescharacteristic
663C2C22×#6700311yescharacteristic
664C2C22×#6700411yescharacteristic
subgroupG/H
centerC23C22×C22⋊D11
commutator, cosocleC2×C4×C11C25
FrattiniC2×C4C24×D11
Fitting, prime radicalC2×C11×#525C2
socleC23×C11C22×D4
hypercenterC2×#525D11
hypocenterC11C2×#3190
LCSG ▷ C2×C4×C11 ▷ C2×C11 ▷ C11
UCSC1 ◁ C23 ◁ C24×C4 ◁ C2×#525

Complements

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

NH ≅ G/Ntype
1. C22×#66977C2semidirect
2. #13079393C2direct (N × H)
3. C2×#10622609C2semidirect
4. C2×#10622656C2semidirect
5. C2×#10622646C2semidirect
6. C2×#10622664C2semidirect
7. C2×#10622654C2semidirect
8. C2×#10622852C2semidirect
9. C2×#10622663C2semidirect
10. C2×#10622653C2semidirect
11. C22×C22⋊(C11⋊C8)C2semidirect
28. C22×#4326C22semidirect
29. C22×#4324C22semidirect
36. C2×#66977C22semidirect
39. #10622852C22semidirect
40. C2×#66899C22semidirect
41. C2×#66896C22semidirect
45. C2×C22⋊(C11⋊C8)C22semidirect
46. #10622664C22semidirect
47. #10622663C22semidirect
48. #10622656C22semidirect
49. #10622654C22semidirect
50. #10622653C22semidirect
51. #10622646C22semidirect
52. #10622609C22semidirect
53. C2×#66874C22semidirect
54. C2×#66874C22semidirect
55. C2×#66872C22semidirect
56. C2×#66871C22semidirect
111. C2×#4326C23semidirect
113. C2×#4324C23semidirect
131. #66899C23semidirect
132. #66896C23semidirect
136. #66874C23semidirect
137. #66874C23semidirect
138. #66872C23semidirect
139. #66871C23semidirect
468. C2×C11#3190semidirect
560. C11C2×#3190semidirect
661. C2#13079393direct (N × H)

Maximal subgroups

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

subgroupindex
C22×#669772
#130793932
C2×#106226092
C2×#106226562
C2×#106226462
C2×#106226642
C2×#106226542
C2×#106228522
C2×#106226632
C2×#106226532
C22×C22⋊(C11⋊C8)2
C2×C11×#5252
C2×#319011