Finite Group Databasebeta

← C2×#13079446 #15624391

Subgroups — C2×#13079446 #15624391

Order 2816.

2342 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
1C2×#10623322C211yesmaximal, characteristic
2#13079446C2116yesmaximal, direct product factor
3C2×#10622583C211yesmaximal, characteristic, complemented
4C2×#10622581C211yesmaximal, characteristic, complemented
5C2×#10622658C212yesmaximal, complemented
6C2×#10622665C212yesmaximal, complemented
7C2×#10622662C212yesmaximal, complemented
8C2×#10622660C212yesmaximal, complemented
9C2×#10622841C211yesmaximal, characteristic, complemented
10C2×#10622840C211yesmaximal, characteristic, complemented
11C2×#10622820C211yesmaximal, characteristic, complemented
12C22×C11×C22⋊Q8C211yesmaximal, characteristic, complemented
13C23×Q8×C11C2211yescharacteristic
14C24×C4×C11C2211yescharacteristic
15C22×#4339C2211yescharacteristic
16C2×C11×C22⋊Q8—21no—
17C2×C11×C22⋊Q8—21no—
18C2×C11×C22⋊Q8—24no—
19C2×C11×C22⋊Q8C2212yes—
20C2×C11×C22⋊Q8C2212yes—
21C2×C11×C22⋊Q8C2218yescomplemented
22C22×C11×C4⋊C4—21no—
23C22×C11×C4⋊C4C2211yescharacteristic
24C22×C11×C22⋊C4—21no—
25C2×#67006—21no—
26C22×#4326C2212yescomplemented
27C22×#4325C2212yescomplemented
28#10623322—24no—
29#10623322C2218yes—
30C2×#66983C2211yescharacteristic
31C2×#66983C2211yescharacteristic
32C2×#66982—21no—
33C2×C4×C22⋊D11—21no—
34C2×C4×C22⋊D11—21no—
35C2×#66979C2211yescharacteristic
36C2×#66977C2211yescharacteristic
37C2×#66977C2211yescharacteristic
38C22×#4318C2212yes—
39#10622841C2218yescomplemented
40#10622840C2218yescomplemented
41C2×#66899C2212yescomplemented
42C2×#66899C2212yescomplemented
43#10622820C2218yescomplemented
44C2×C22⋊(C11⋊C8)C2211yescharacteristic
45C2×C22⋊(C11⋊C8)C2211yescharacteristic
46C2×C22⋊(C11⋊C8)C2212yes—
47#10622665C22116yescomplemented
48#10622662C22116yescomplemented
49#10622660C22116yescomplemented
50#10622658C22116yescomplemented
51#10622583C2218yescomplemented
52C2×#66874C2212yescomplemented
53#10622581C2218yescomplemented
54C2×#66873C2212yescomplemented
55C2×#66872C2212yescomplemented
56C2×#66871C2212yescomplemented
57C25×C11D411yescharacteristic
58C22×Q8×C11—21no—
59C22×Q8×C11—22no—
60C22×Q8×C11—44no—
61C22×Q8×C11C2312yes—
62C22×Q8×C11C2314yes—
63C23×C4×C11—21no—
64C23×C4×C11—21no—
65C23×C4×C11—44no—
66C23×C4×C11D411yescharacteristic
67C23×C4×C11D411yescharacteristic
68C23×C4×C11D411yescharacteristic
69C23×C4×C11D414yes—
70C23×C4×C11C2311yescharacteristic
71C23×C4×C11C2311yescharacteristic
72C23×C4×C11C2311yescharacteristic
73C23×C4×C11C2314yes—
74C22×C22⋊D11—21no—
75C22×C22⋊D11—21no—
76C22×C22⋊D11—21no—
77C2×#4339—22no—
78C2×#4339—44no—
79C2×#4339C2314yes—
80C22×D44C2311yescharacteristic
81C22×C4×D11—21no—
82C22×Dic22C2311yescharacteristic
83C11×C22⋊Q8—24no—
84C11×C22⋊Q8—24no—
85C11×C22⋊Q8—28no—
86C11×C22⋊Q8—28no—
87C11×C22⋊Q8C2318yes—
88C11×C22⋊Q8C2318yes—
89C2×C11×C4⋊C4—22no—
90C2×C11×C4⋊C4—22no—
91C2×C11×C4⋊C4—28no—
92C2×C11×C4⋊C4—21no—
93C2×C11×C4⋊C4—22no—
94C2×C11×C4⋊C4C2312yes—
95C2×C11×C4⋊C4C2314yes—
96C2×C11×C22⋊C4—22no—
97C2×C11×C22⋊C4—22no—
98C2×C11×C22⋊C4—28no—
99#67006—28no—
100C2×C22⋊Dic11—21no—
101C2×C22⋊Dic11—21no—
102C2×C22⋊Dic11—21no—
103C2×#4326—44no—
104C2×#4326C2318yescomplemented
105C2×#4325—44no—
106C2×#4325C2318yescomplemented
107#66983—22no—
108#66983—22no—
109#66983C2314yes—
110#66983C2314yes—
111#66982—28no—
112C4×C22⋊D11—28no—
113C4×C22⋊D11—28no—
114C2×(C2×D11)⋊C4—21no—
115C2×(C2×D11)⋊C4—21no—
116#66979—22no—
117#66979C2314yes—
118C2×C4⋊Dic11C2311yescharacteristic
119C2×C4⋊Dic11C2311yescharacteristic
120#66977—22no—
121#66977—22no—
122#66977C2314yes—
123#66977C2314yes—
124C2×Dic11⋊C4—21no—
125C2×Dic11⋊C4—21no—
126C2×C4×Dic11—21no—
127C2×#4318—44no—
128C2×#4318C2318yes—
129C22×C11⋊C8C2312yes—
130C22×C11⋊C8C2312yes—
131#66899C2318yescomplemented
132#66899C2318yescomplemented
133C22⋊(C11⋊C8)C2314yes—
134C22⋊(C11⋊C8)C2314yes—
135C22⋊(C11⋊C8)C2318yes—
136#66874C2318yescomplemented
137#66873C2318yescomplemented
138#66872C2318yescomplemented
139#66871C2318yescomplemented
140C2×#3196—111nomaximal, Sylow
141C24×C11—24no—
142C24×C11—42no—
143C24×C11—42no—
144C24×C11C2×D411yescharacteristic
145C24×C11C2×D411yescharacteristic
146C24×C11C2×D411yescharacteristic
147C24×C11C2×D414yes—
148C23×D11—21no—
149C2×Q8×C11—24no—
150C2×Q8×C11—22no—
151C2×Q8×C11—24no—
152C2×Q8×C11—24no—
153C2×Q8×C11—48no—
154C2×Q8×C11—44no—
155C2×Q8×C11—48no—
156C2×Q8×C11C2414yes—
157C22×C4×C11—24no—
158C22×C4×C11—24no—
159C22×C4×C11—24no—
160C22×C4×C11—24no—
161C22×C4×C11—22no—
162C22×C4×C11—24no—
163C22×C4×C11—22no—
164C22×C4×C11—48no—
165C22×C4×C11—48no—
166C22×C4×C11—42no—
167C22×C4×C11—42no—
168C22×C4×C11—42no—
169C22×C4×C11—44no—
170C22×C4×C11—44no—
171C22×C4×C11C2×D411yescharacteristic
172C22×C4×C11C2×D411yescharacteristic
173C22×C4×C11C2×D411yescharacteristic
174C22×C4×C11C2×D412yes—
175C22×C4×C11C2×D412yes—
176C22×C4×C11C2×D412yes—
177C22×C4×C11C2×D414yes—
178C22×C4×C11C2×D414yes—
179C22×C4×C11C2×D414yes—
180C22×C4×C11C2412yes—
181C22×C4×C11C2412yes—
182C22×C4×C11C2412yes—
183C22×C4×C11C2411yescharacteristic
184C2×C22⋊D11—24no—
185C2×C22⋊D11—24no—
186C2×C22⋊D11—24no—
187C2×C22⋊D11—44no—
188C2×C22⋊D11—44no—
189C2×C22⋊D11—44no—
190C22×Dic11—21no—
191C22×Dic11—21no—
192C22×Dic11—21no—
193#4339—48no—
194#4339—48no—
195C2×D44—21no—
196C2×D44—24no—
197C2×D44C2412yes—
198C2×C4×D11—24no—
199C2×C4×D11—44no—
200C2×Dic22—21no—
201C2×Dic22—24no—
202C2×Dic22C2412yes—
203C11×C4⋊C4—28no—
204C11×C4⋊C4—28no—
205C11×C4⋊C4—24no—
206C11×C4⋊C4—22no—
207C11×C4⋊C4C2414yes—
208C11×C22⋊C4—28no—
209C11×C22⋊C4—28no—
210C22⋊Dic11—24no—
211C22⋊Dic11—24no—
212C22⋊Dic11—24no—
213#4326—48no—
214#4325—48no—
215(C2×D11)⋊C4—24no—
216(C2×D11)⋊C4—24no—
217C4⋊Dic11—21no—
218C4⋊Dic11—21no—
219C4⋊Dic11C2412yes—
220C4⋊Dic11C2412yes—
221Dic11⋊C4—24no—
222Dic11⋊C4—24no—
223C4×Dic11—24no—
224#4318—48no—
225C2×C11⋊C8—24no—
226C2×C11⋊C8—24no—
227C2×C11⋊C8C2414yes—
228C2×C11⋊C8C2414yes—
229C2×#525—111no—
230C22×C22⋊Q8D1111yescharacteristic, complemented
231#3196—1116no—
232C2×#484—111no—
233C2×#481—111no—
234C2×#485—112no—
235C2×#470—112no—
236C2×#468—112no—
237C2×#452—112no—
238C2×#451—111no—
239C2×#448—111no—
240C2×#407—111no—
241C23×C11—22no—
242C23×C11—22no—
243C23×C11—22no—
244C23×C11—22no—
245C23×C11—28no—
246C23×C11—22no—
247C23×C11—22no—
248C23×C11—22no—
249C23×C11—22no—
250C23×C11—44no—
251C23×C11—44no—
252C23×C11—416no—
253C23×C11#13714yes—
254C23×C11C22×D412yes—
255C23×C11C22×D412yes—
256C23×C11C22×D412yes—
257C23×C11C22×D411yescharacteristic
258C22×D11—22no—
259C22×D11—42no—
260C22×D11—42no—
261C22×D11—42no—
262Q8×C11—24no—
263Q8×C11—24no—
264Q8×C11—48no—
265Q8×C11—44no—
266C2×C4×C11—22no—
267C2×C4×C11—22no—
268C2×C4×C11—22no—
269C2×C4×C11—24no—
270C2×C4×C11—24no—
271C2×C4×C11—24no—
272C2×C4×C11—24no—
273C2×C4×C11—24no—
274C2×C4×C11—24no—
275C2×C4×C11—24no—
276C2×C4×C11—24no—
277C2×C4×C11—44no—
278C2×C4×C11—44no—
279C2×C4×C11—44no—
280C2×C4×C11—48no—
281C2×C4×C11—48no—
282C2×C4×C11—44no—
283C2×C4×C11—44no—
284C2×C4×C11C22×D412yes—
285C2×C4×C11C22×D412yes—
286C2×C4×C11C22×D412yes—
287C2×C4×C11C22×D411yescharacteristic
288C2×C4×C11H(5,𝔽2)14yes—
289C2×C4×C11C2511yescharacteristic
290C22⋊D11—48no—
291C22⋊D11—48no—
292C22⋊D11—48no—
293C2×Dic11—22no—
294C2×Dic11—22no—
295C2×Dic11—22no—
296C2×Dic11—42no—
297C2×Dic11—42no—
298C2×Dic11—42no—
299D44—24no—
300D44—42no—
301C4×D11—48no—
302Dic22—24no—
303Dic22—42no—
304C11⋊C8—24no—
305C11⋊C8—24no—
306C22×#41—111no—
307C23×Q8C2×D1111yescharacteristic
308C24×C4C2×D1111yescharacteristic
309C22×Q16—112no—
310C22×SD16—112no—
311C22×M16—112no—
312#525—118no—
313#525—224no—
314C2×#123—221no—
315C2×C22⋊Q8—21no—
316C2×C22⋊Q8—21no—
317C2×C22⋊Q8—24no—
318C2×C22⋊Q8—111no—
319C2×C22⋊Q8—111no—
320C2×C22⋊Q8C2×D1112yes—
321C2×C22⋊Q8C2×D1112yes—
322C2×C22⋊Q8C2×D1118yescomplemented
323C2×#121—111no—
324C2×#121—111no—
325C2×#120—221no—
326C2×C4×D4—221no—
327C2×C4×D4—221no—
328C2×#117—111no—
329C22×C4⋊C4—21no—
330C22×C4⋊C4C2×D1111yescharacteristic
331C22×C22⋊C4—21no—
332#485—1116no—
333#484—118no—
334#481—118no—
335#470—1116no—
336#468—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—
346#407—118no—
347C2×C22⋊C8—112no—
348C2×C22⋊C8—111no—
349C2×C22⋊C8—111no—
350C22×C11—22no—
351C22×C11—28no—
352C22×C11—22no—
353C22×C11—22no—
354C22×C11—22no—
355C22×C11—22no—
356C22×C11—22no—
357C22×C11—22no—
358C22×C11—22no—
359C22×C11—416no—
360C22×C11—44no—
361C22×C11—44no—
362C22×C11#53412yes—
363C22×C11C2×#13714yes—
364C22×C11C2×#13712yes—
365C22×C11#57512yes—
366C22×C11C23×D411yescharacteristic
367C2×D11—42no—
368C2×D11—42no—
369C2×D11—42no—
370C2×D11—84no—
371C4×C11—22no—
372C4×C11—22no—
373C4×C11—22no—
374C4×C11—44no—
375C4×C11—44no—
376C4×C11#53412yes—
377C4×C11C2×H(5,𝔽2)12yes—
378Dic11—42no—
379Dic11—42no—
380Dic11—42no—
381C25C22⋊D1111yescharacteristic
382C2×#41—114no—
383C2×#41—222no—
384C2×#41—444no—
385C22×Q8—22no—
386C22×Q8—21no—
387C22×Q8—44no—
388C22×Q8—111no—
389C22×Q8C22×D1112yes—
390C22×Q8C22×D1114yes—
391C22×D4—111no—
392C22×D4—221no—
393C22×D4—221no—
394C22×D4—221no—
395C23×C4—21no—
396C23×C4—21no—
397C23×C4—44no—
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—
411C2×M16—118no—
412C2×M16—444no—
413C22×C8—112no—
414C22×C8—112no—
415#123—228no—
416C22⋊Q8—24no—
417C22⋊Q8—24no—
418C22⋊Q8—28no—
419C22⋊Q8—28no—
420C22⋊Q8—114no—
421C22⋊Q8—114no—
422C22⋊Q8—222no—
423C22⋊Q8—222no—
424C22⋊Q8C22×D1118yes—
425C22⋊Q8C22×D1118yes—
426#121—114no—
427#121—114no—
428#121—222no—
429#121—222no—
430#120—228no—
431C4×D4—228no—
432C4×D4—228no—
433#117—114no—
434#117—222no—
435C2×C4⋊C4—22no—
436C2×C4⋊C4—22no—
437C2×C4⋊C4—28no—
438C2×C4⋊C4—22no—
439C2×C4⋊C4—21no—
440C2×C4⋊C4—111no—
441C2×C4⋊C4—111no—
442C2×C4⋊C4—221no—
443C2×C4⋊C4—221no—
444C2×C4⋊C4C22×D1112yes—
445C2×C4⋊C4C22×D1114yes—
446C2×C22⋊C4—22no—
447C2×C22⋊C4—22no—
448C2×C22⋊C4—28no—
449C2×C22⋊C4—221no—
450C2×C22⋊C4—221no—
451C2×C22⋊C4—221no—
452C2×C22⋊C4—221no—
453C2×C22⋊C4—221no—
454C2×C42—221no—
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—42no—
466C2×C11—42no—
467C2×C11#319614yescomplemented
468C2×C11C2×#53411yescharacteristic
469C2×C11C22×#13711yescharacteristic
470C2×C11C2×#57511yescharacteristic
471D11—82no—
472C24—24no—
473C24—42no—
474C24—42no—
475C24—221no—
476C24C2×C22⋊D1111yescharacteristic
477C24C2×C22⋊D1111yescharacteristic
478C24C2×C22⋊D1111yescharacteristic
479C24C2×C22⋊D1114yes—
480#41—448no—
481#41—448no—
482C2×Q8—24no—
483C2×Q8—22no—
484C2×Q8—24no—
485C2×Q8—24no—
486C2×Q8—48no—
487C2×Q8—44no—
488C2×Q8—48no—
489C2×Q8—112no—
490C2×Q8—221no—
491C2×Q8—224no—
492C2×Q8C23×D1114yes—
493C2×D4—112no—
494C2×D4—224no—
495C2×D4—224no—
496C2×D4—224no—
497C2×D4—224no—
498C2×D4—221no—
499C2×D4—444no—
500C2×D4—444no—
501C2×D4—444no—
502C22×C4—24no—
503C22×C4—24no—
504C22×C4—24no—
505C22×C4—24no—
506C22×C4—24no—
507C22×C4—22no—
508C22×C4—22no—
509C22×C4—48no—
510C22×C4—48no—
511C22×C4—42no—
512C22×C4—42no—
513C22×C4—42no—
514C22×C4—44no—
515C22×C4—44no—
516C22×C4—221no—
517C22×C4—221no—
518C22×C4—221no—
519C22×C4—224no—
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—
536M16—448no—
537C2×C8—114no—
538C2×C8—114no—
539C2×C8—224no—
540C2×C8—224no—
541C4⋊C4—28no—
542C4⋊C4—28no—
543C4⋊C4—24no—
544C4⋊C4—22no—
545C4⋊C4—112no—
546C4⋊C4—112no—
547C4⋊C4—221no—
548C4⋊C4—221no—
549C4⋊C4—224no—
550C4⋊C4—224no—
551C4⋊C4C23×D1114yes—
552C22⋊C4—28no—
553C22⋊C4—28no—
554C22⋊C4—224no—
555C22⋊C4—224no—
556C22⋊C4—224no—
557C22⋊C4—224no—
558C22⋊C4—224no—
559C42—224no—
560C11C2×#319611yescharacteristic, complemented, Sylow
561C23—22no—
562C23—22no—
563C23—22no—
564C23—22no—
565C23—28no—
566C23—22no—
567C23—22no—
568C23—22no—
569C23—22no—
570C23—44no—
571C23—44no—
572C23—416no—
573C23—222no—
574C23—442no—
575C23—442no—
576C23—442no—
577C23#6699514yes—
578C23C22×C22⋊D1112yes—
579C23C22×C22⋊D1112yes—
580C23C22×C22⋊D1112yes—
581C23C22×C22⋊D1111yescharacteristic
582Q8—24no—
583Q8—24no—
584Q8—48no—
585Q8—44no—
586Q8—224no—
587Q8—442no—
588D4—224no—
589D4—448no—
590D4—448no—
591D4—448no—
592D4—442no—
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—24no—
603C2×C4—24no—
604C2×C4—44no—
605C2×C4—44no—
606C2×C4—44no—
607C2×C4—48no—
608C2×C4—48no—
609C2×C4—44no—
610C2×C4—44no—
611C2×C4—222no—
612C2×C4—222no—
613C2×C4—222no—
614C2×C4—448no—
615C2×C4—442no—
616C2×C4—442no—
617C2×C4—442no—
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—28no—
628C22—22no—
629C22—22no—
630C22—22no—
631C22—22no—
632C22—22no—
633C22—22no—
634C22—22no—
635C22—416no—
636C22—44no—
637C22—44no—
638C22—442no—
639C22—442no—
640C22—442no—
641C22—884no—
642C22#1062333512yes—
643C22C2×#6699514yes—
644C22C2×#6699512yes—
645C22#1062335312yes—
646C22C23×C22⋊D1111yescharacteristic
647C4—22no—
648C4—22no—
649C4—22no—
650C4—44no—
651C4—44no—
652C4—442no—
653C4—442no—
654C4—442no—
655C4#1062333512yes—
656C4C2×#6703712yes—
657C2—24no—
658C2—42no—
659C2—42no—
660C2—882no—
661C2#1307944614yesdirect product factor
662C2C2×#1062333511yescharacteristic
663C2C22×#6699511yescharacteristic
664C2C2×#1062335311yescharacteristic
subgroupG/H
centerC23C22×C22⋊D11
commutator, cosocleC2×C4×C11C25
FrattiniC2×C4C24×D11
FittingC22×C11×C22⋊Q8C2
socleC23×C11C22×D4
prime radicalC2×#10623322C2
hypercenterC22×C22⋊Q8D11
hypocenterC11C2×#3196
LCSG ▷ C2×C4×C11 ▷ C2×C11 ▷ C11
UCSC1 ◁ C23 ◁ C24×C4 ◁ C22×C22⋊Q8

Complements

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

NH ≅ G/Ntype
2. #13079446C2direct (N × H)
3. C2×#10622583C2semidirect
4. C2×#10622581C2semidirect
5. C2×#10622658C2semidirect
6. C2×#10622665C2semidirect
7. C2×#10622662C2semidirect
8. C2×#10622660C2semidirect
9. C2×#10622841C2semidirect
10. C2×#10622840C2semidirect
11. C2×#10622820C2semidirect
12. C22×C11×C22⋊Q8C2semidirect
21. C2×C11×C22⋊Q8C22semidirect
26. C22×#4326C22semidirect
27. C22×#4325C22semidirect
39. #10622841C22semidirect
40. #10622840C22semidirect
41. C2×#66899C22semidirect
42. C2×#66899C22semidirect
43. #10622820C22semidirect
47. #10622665C22semidirect
48. #10622662C22semidirect
49. #10622660C22semidirect
50. #10622658C22semidirect
51. #10622583C22semidirect
52. C2×#66874C22semidirect
53. #10622581C22semidirect
54. C2×#66873C22semidirect
55. C2×#66872C22semidirect
56. C2×#66871C22semidirect
104. C2×#4326C23semidirect
106. C2×#4325C23semidirect
131. #66899C23semidirect
132. #66899C23semidirect
136. #66874C23semidirect
137. #66873C23semidirect
138. #66872C23semidirect
139. #66871C23semidirect
230. C22×C22⋊Q8D11semidirect
322. C2×C22⋊Q8C2×D11semidirect
467. C2×C11#3196semidirect
560. C11C2×#3196semidirect
661. C2#13079446direct (N × H)

Maximal subgroups

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

subgroupindex
C2×#106233222
#130794462
C2×#106225832
C2×#106225812
C2×#106226582
C2×#106226652
C2×#106226622
C2×#106226602
C2×#106228412
C2×#106228402
C2×#106228202
C22×C11×C22⋊Q82
C2×#319611