Finite Group Databasebeta

← C2×#13071303 #14912521

Subgroups — C2×#13071303 #14912521

Order 2816.

3934 conjugacy classes of subgroups.

The subgroup lattice has 652 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×#66991C211yesmaximal, characteristic
2C22×#66925C211yesmaximal, characteristic, complemented
3#13071303C2116yesmaximal, direct product factor
4C2×#10622834C211yesmaximal, characteristic, complemented
5C2×#10622570C212yesmaximal, complemented
6C2×#10622586C211yesmaximal, characteristic, complemented
7C2×#10622558C212yesmaximal, complemented
8C2×#10622826C212yesmaximal, complemented
9C2×#10622823C212yesmaximal, complemented
10C2×#10622600C211yesmaximal, characteristic, complemented
11C2×C4×C4⋊Dic11C211yesmaximal, characteristic, complemented
12C22×C4×D4×C11C211yesmaximal, characteristic, complemented
13C23×D4×C11C2211yescharacteristic
14C24×C4×C11C2212yes—
15C23×C22⋊D11C2212yes—
16C23×C4×D11C2211yescharacteristic
17C2×C4×D4×C11—28no—
18C2×C4×D4×C11C2218yescomplemented
19C22×C11×C4⋊C4C2211yescharacteristic
20C22×C11×C22⋊C4C2212yes—
21C22×C42×C11C2211yescharacteristic
22C22×C22⋊Dic11C2212yes—
23C22×C22⋊Dic11C2212yes—
24C22×C22⋊Dic11C2212yes—
25C2×#66991C4116yescomplemented
26C2×#66991C2218yes—
27C22×(C2×D11)⋊C4C2211yescharacteristic
28C22×(C2×D11)⋊C4C2211yescharacteristic
29C22×(C2×D11)⋊C4C2212yes—
30C22×C4⋊Dic11C2211yescharacteristic
31C22×C4⋊Dic11C2211yescharacteristic
32C22×Dic11⋊C4C2211yescharacteristic
33C22×Dic11⋊C4C2211yescharacteristic
34C22×Dic11⋊C4C2212yes—
35C22×C4×Dic11C2211yescharacteristic
36C22×C4×Dic11C2212yes—
37C2×#66925—28no—
38C2×#66925C2218yescomplemented
39#10622834C2218yescomplemented
40#10622826C22116yescomplemented
41#10622823C22116yescomplemented
42C2×C11⋊#95C2212yes—
43C2×C11⋊#95C2212yes—
44C2×C11⋊#95C2212yes—
45#10622600C2218yescomplemented
46#10622586C2218yescomplemented
47#10622570C22116yescomplemented
48#10622558C22116yescomplemented
49C4×C4⋊Dic11C2218yescomplemented
50C25×C11C2312yes—
51C24×D11C2311yescharacteristic
52C22×D4×C11—24no—
53C22×D4×C11—24no—
54C22×D4×C11C2×C418yes—
55C22×D4×C11C2314yes—
56C23×C4×C11—28no—
57C23×C4×C11—44no—
58C23×C4×C11—44no—
59C23×C4×C11C2312yes—
60C23×C4×C11C2311yescharacteristic
61C23×C4×C11C2311yescharacteristic
62C23×C4×C11C2318yes—
63C23×C4×C11C2311yescharacteristic
64C22×C22⋊D11—44no—
65C22×C22⋊D11—44no—
66C22×C22⋊D11C2×C4116yescomplemented
67C22×C22⋊D11C2318yes—
68C23×Dic11C2311yescharacteristic
69C23×Dic11C2311yescharacteristic
70C23×Dic11C2312yes—
71C23×Dic11C2312yes—
72C23×Dic11C2311yescharacteristic
73C22×C4×D11—24no—
74C22×C4×D11—24no—
75C22×C4×D11C2×C418yescomplemented
76C22×C4×D11C2314yes—
77C4×D4×C11—232no—
78C2×C11×C4⋊C4—24no—
79C2×C11×C4⋊C4C2314yes—
80C2×C11×C22⋊C4—28no—
81C2×C11×C22⋊C4C2318yes—
82C2×C42×C11D418yescomplemented
83C2×C42×C11C2314yes—
84C2×C22⋊Dic11—44no—
85C2×C22⋊Dic11—44no—
86C2×C22⋊Dic11C2×C4116yescomplemented
87C2×C22⋊Dic11C2318yes—
88C2×C22⋊Dic11C2318yes—
89C2×C22⋊Dic11C2318yes—
90#66991C2×C4164yescomplemented
91C2×(C2×D11)⋊C4—24no—
92C2×(C2×D11)⋊C4—24no—
93C2×(C2×D11)⋊C4—44no—
94C2×(C2×D11)⋊C4C2314yes—
95C2×(C2×D11)⋊C4C2314yes—
96C2×(C2×D11)⋊C4C2318yes—
97C2×C4⋊Dic11—24no—
98C2×C4⋊Dic11C2×C418yescomplemented
99C2×C4⋊Dic11C2314yes—
100C2×C4⋊Dic11C2314yes—
101C2×Dic11⋊C4—24no—
102C2×Dic11⋊C4—24no—
103C2×Dic11⋊C4—44no—
104C2×Dic11⋊C4C2314yes—
105C2×Dic11⋊C4C2314yes—
106C2×Dic11⋊C4C2318yes—
107C2×C4×Dic11—24no—
108C2×C4×Dic11—44no—
109C2×C4×Dic11C2314yes—
110C2×C4×Dic11C2318yes—
111#66925—232no—
112C11⋊#95C2318yes—
113C11⋊#95C2318yes—
114C11⋊#95C2318yes—
115C2×#2324—111nomaximal, Sylow
116C24×C11—24no—
117C24×C11—24no—
118C24×C11—24no—
119C24×C11—24no—
120C24×C11—24no—
121C24×C11—24no—
122C24×C11C22×C418yes—
123C24×C11C2414yes—
124C24×C11C2411yescharacteristic
125C23×D11—22no—
126C23×D11—22no—
127C23×D11—22no—
128C23×D11—22no—
129C23×D11—22no—
130C23×D11—22no—
131C23×D11C22×C414yes—
132C23×D11C2412yes—
133C2×D4×C11—232no—
134C2×D4×C11—28no—
135C2×D4×C11—28no—
136C2×D4×C11C22×C4116yes—
137C22×C4×C11—22no—
138C22×C4×C11—22no—
139C22×C4×C11—22no—
140C22×C4×C11—22no—
141C22×C4×C11—24no—
142C22×C4×C11—24no—
143C22×C4×C11—24no—
144C22×C4×C11—216no—
145C22×C4×C11—48no—
146C22×C4×C11—48no—
147C22×C4×C11—432no—
148C22×C4×C11C22×C414yes—
149C22×C4×C11C2×D414yes—
150C22×C4×C11C2×D414yes—
151C22×C4×C11C2×D414yes—
152C22×C4×C11#4114yes—
153C22×C4×C11C2414yes—
154C22×C4×C11C2412yes—
155C22×C4×C11C2412yes—
156C22×C4×C11C2412yes—
157C2×C22⋊D11—432no—
158C2×C22⋊D11—48no—
159C2×C22⋊D11—48no—
160C2×C22⋊D11C22×C4132yescomplemented
161C22×Dic11—22no—
162C22×Dic11—22no—
163C22×Dic11—22no—
164C22×Dic11—22no—
165C22×Dic11—24no—
166C22×Dic11—24no—
167C22×Dic11—24no—
168C22×Dic11—24no—
169C22×Dic11—22no—
170C22×Dic11—24no—
171C22×Dic11—22no—
172C22×Dic11—22no—
173C22×Dic11—22no—
174C22×Dic11C22×C418yes—
175C22×Dic11C22×C414yes—
176C22×Dic11C2412yes—
177C22×Dic11C2414yes—
178C22×Dic11C2412yes—
179C22×Dic11C2414yes—
180C22×Dic11C2412yes—
181C2×C4×D11—232no—
182C2×C4×D11—28no—
183C2×C4×D11—28no—
184C2×C4×D11C22×C4116yescomplemented
185C11×C4⋊C4—28no—
186C11×C22⋊C4—216no—
187C42×C11C2×D4116yescomplemented
188C22⋊Dic11—48no—
189C22⋊Dic11—48no—
190C22⋊Dic11C22×C4132yescomplemented
191(C2×D11)⋊C4—28no—
192(C2×D11)⋊C4—28no—
193(C2×D11)⋊C4—48no—
194C4⋊Dic11—28no—
195C4⋊Dic11C22×C4116yescomplemented
196Dic11⋊C4—28no—
197Dic11⋊C4—28no—
198Dic11⋊C4—48no—
199C4×Dic11—28no—
200C4×Dic11—48no—
201C22×#121—111no—
202C22×C4×D4D1111yescharacteristic, complemented
203C22×#117—111no—
204#2324—1116no—
205C2×#390—111no—
206C2×#390—112no—
207C2×#389—111no—
208C2×#388—112no—
209C2×#386—112no—
210C2×#385—112no—
211C2×#380—111no—
212C2×C4×C4⋊C4—111no—
213C23×C11—216no—
214C23×C11—216no—
215C23×C11—216no—
216C23×C11—24no—
217C23×C11—24no—
218C23×C11—24no—
219C23×C11—24no—
220C23×C11—24no—
221C23×C11—24no—
222C23×C11—48no—
223C23×C11—48no—
224C23×C11—48no—
225C23×C11—48no—
226C23×C11C23×C418yes—
227C23×C11C23×C412yes—
228C23×C11C22×D412yes—
229C23×C11C2×#4112yes—
230C23×C11H(5,𝔽2)12yes—
231C23×C11H(5,𝔽2)12yes—
232C23×C11H(5,𝔽2)12yes—
233C23×C112−1+412yes—
234C23×C11C2511yescharacteristic
235C22×D11—28no—
236C22×D11—28no—
237C22×D11—28no—
238C22×D11—22no—
239C22×D11—22no—
240C22×D11—22no—
241C22×D11—22no—
242C22×D11—22no—
243C22×D11—22no—
244C22×D11—44no—
245C22×D11—44no—
246C22×D11—44no—
247C22×D11—44no—
248C22×D11C23×C414yes—
249D4×C11—232no—
250C2×C4×C11—28no—
251C2×C4×C11—28no—
252C2×C4×C11—22no—
253C2×C4×C11—22no—
254C2×C4×C11—22no—
255C2×C4×C11—22no—
256C2×C4×C11—24no—
257C2×C4×C11—24no—
258C2×C4×C11—24no—
259C2×C4×C11—432no—
260C2×C4×C11—48no—
261C2×C4×C11C4×D4116yes—
262C2×C4×C11C23×C414yes—
263C2×C4×C11C22×D414yes—
264C2×C4×C11C22×D414yes—
265C2×C4×C11C22×D414yes—
266C2×C4×C11C2×#4114yes—
267C22⋊D11—432no—
268C2×Dic11—28no—
269C2×Dic11—216no—
270C2×Dic11—22no—
271C2×Dic11—22no—
272C2×Dic11—24no—
273C2×Dic11—24no—
274C2×Dic11—22no—
275C2×Dic11—22no—
276C2×Dic11—24no—
277C2×Dic11—24no—
278C2×Dic11—22no—
279C2×Dic11—24no—
280C2×Dic11—22no—
281C2×Dic11—22no—
282C2×Dic11—22no—
283C2×Dic11—44no—
284C2×Dic11—44no—
285C2×Dic11—48no—
286C2×Dic11C23×C418yes—
287C2×Dic11C23×C414yes—
288C4×D11—232no—
289C23×D4—112no—
290C23×D4C2×D1111yescharacteristic
291C24×C4—111no—
292C24×C4C2×D1112yes—
293C2×#121—118no—
294C2×#121—1116no—
295C2×C4×D4—28no—
296C2×C4×D4C2×D1118yescomplemented
297C2×#117—118no—
298C2×#117—228no—
299C22×C4⋊C4—111no—
300C22×C4⋊C4—111no—
301C22×C4⋊C4—111no—
302C22×C4⋊C4—111no—
303C22×C4⋊C4—112no—
304C22×C4⋊C4C2×D1111yescharacteristic
305C22×C22⋊C4—112no—
306C22×C22⋊C4—111no—
307C22×C22⋊C4—111no—
308C22×C22⋊C4—112no—
309C22×C22⋊C4—112no—
310C22×C22⋊C4—112no—
311C22×C22⋊C4C2×D1112yes—
312C22×C42—111no—
313C22×C42—112no—
314C22×C42C2×D1111yescharacteristic
315#390—118no—
316#390—1116no—
317#389—118no—
318#388—1116no—
319#386—1116no—
320#385—1116no—
321#380—118no—
322C4×C4⋊C4—118no—
323C2×#95—112no—
324C2×#95—112no—
325C2×#95—112no—
326C22×C11—28no—
327C22×C11—28no—
328C22×C11—28no—
329C22×C11—432no—
330C22×C11—44no—
331C22×C11—44no—
332C22×C11—44no—
333C22×C11—44no—
334C22×C11C2×C4×D414yes—
335C22×C11#51814yes—
336C22×C11#52014yes—
337C22×C11#53514yes—
338C22×C11#53714yes—
339C22×C11#54014yes—
340C22×C11#54214yes—
341C22×C11C24×C411yescharacteristic
342C22×C11C23×D411yescharacteristic
343C22×C11C22×#4111yescharacteristic
344C22×C11C2×H(5,𝔽2)11yescharacteristic
345C22×C11C2×H(5,𝔽2)11yescharacteristic
346C22×C11C2×H(5,𝔽2)11yescharacteristic
347C22×C11C2×2−1+411yescharacteristic
348C2×D11—24no—
349C2×D11—24no—
350C2×D11—24no—
351C2×D11—416no—
352C2×D11—42no—
353C2×D11—42no—
354C2×D11—42no—
355C2×D11—42no—
356C4×C11—24no—
357C4×C11—24no—
358C4×C11—44no—
359C4×C11C2×C4×D418yes—
360Dic11—24no—
361Dic11—28no—
362Dic11—42no—
363Dic11—42no—
364Dic11—44no—
365C25—111no—
366C25C22×D1112yes—
367C22×D4—24no—
368C22×D4—24no—
369C22×D4—1116no—
370C22×D4—118no—
371C22×D4—444no—
372C22×D4—444no—
373C22×D4C4×D1118yes—
374C22×D4C22×D1114yes—
375C23×C4—28no—
376C23×C4—44no—
377C23×C4—44no—
378C23×C4—111no—
379C23×C4—112no—
380C23×C4—118no—
381C23×C4—114no—
382C23×C4—111no—
383C23×C4—112no—
384C23×C4—111no—
385C23×C4—224no—
386C23×C4—224no—
387C23×C4C22×D1112yes—
388C23×C4C22×D1111yescharacteristic
389C23×C4C22×D1111yescharacteristic
390C23×C4C22×D1118yes—
391C23×C4C22×D1111yescharacteristic
392#121—1164no—
393C4×D4—232no—
394#117—2232no—
395C2×C4⋊C4—24no—
396C2×C4⋊C4—118no—
397C2×C4⋊C4—114no—
398C2×C4⋊C4—114no—
399C2×C4⋊C4—114no—
400C2×C4⋊C4—114no—
401C2×C4⋊C4—118no—
402C2×C4⋊C4—224no—
403C2×C4⋊C4—224no—
404C2×C4⋊C4—224no—
405C2×C4⋊C4—444no—
406C2×C4⋊C4C22×D1114yes—
407C2×C22⋊C4—28no—
408C2×C22⋊C4—1116no—
409C2×C22⋊C4—118no—
410C2×C22⋊C4—114no—
411C2×C22⋊C4—114no—
412C2×C22⋊C4—118no—
413C2×C22⋊C4—118no—
414C2×C22⋊C4—118no—
415C2×C22⋊C4—224no—
416C2×C22⋊C4—224no—
417C2×C22⋊C4—444no—
418C2×C22⋊C4—444no—
419C2×C22⋊C4—444no—
420C2×C22⋊C4C22×D1118yes—
421C2×C42—114no—
422C2×C42—118no—
423C2×C42—224no—
424C2×C42—444no—
425C2×C42C22⋊D1118yescomplemented
426C2×C42C22×D1114yes—
427#95—118no—
428#95—118no—
429#95—118no—
430C2×C11—48no—
431C2×C11#232418yescomplemented
432C2×C11C22×C4×D411yescharacteristic
433C2×C11C2×#51811yescharacteristic
434C2×C11C2×#52011yescharacteristic
435C2×C11C2×#53511yescharacteristic
436C2×C11C2×#53711yescharacteristic
437C2×C11C2×#54011yescharacteristic
438C2×C11C2×#54211yescharacteristic
439D11—44no—
440C24—24no—
441C24—24no—
442C24—24no—
443C24—24no—
444C24—24no—
445C24—24no—
446C24—114no—
447C24—112no—
448C24—222no—
449C24—222no—
450C24—222no—
451C24—222no—
452C24—222no—
453C24—222no—
454C24C2×C4×D1118yes—
455C24C23×D1114yes—
456C24C23×D1111yescharacteristic
457C2×D4—232no—
458C2×D4—28no—
459C2×D4—28no—
460C2×D4—1132no—
461C2×D4—4432no—
462C2×D4—448no—
463C2×D4—448no—
464C2×D4C2×C4×D11116yes—
465C22×C4—22no—
466C22×C4—22no—
467C22×C4—22no—
468C22×C4—22no—
469C22×C4—24no—
470C22×C4—24no—
471C22×C4—24no—
472C22×C4—216no—
473C22×C4—48no—
474C22×C4—48no—
475C22×C4—432no—
476C22×C4—114no—
477C22×C4—118no—
478C22×C4—114no—
479C22×C4—112no—
480C22×C4—1116no—
481C22×C4—114no—
482C22×C4—112no—
483C22×C4—112no—
484C22×C4—222no—
485C22×C4—224no—
486C22×C4—224no—
487C22×C4—222no—
488C22×C4—2232no—
489C22×C4—228no—
490C22×C4—228no—
491C22×C4—224no—
492C22×C4—222no—
493C22×C4—224no—
494C22×C4—222no—
495C22×C4—224no—
496C22×C4—222no—
497C22×C4—222no—
498C22×C4—222no—
499C22×C4—222no—
500C22×C4C2×C4×D1114yes—
501C22×C4#433914yes—
502C22×C4C2×C22⋊D1114yes—
503C22×C4C2×C22⋊D1114yes—
504C22×C4C2×C22⋊D1114yes—
505C22×C4C23×D1114yes—
506C22×C4C23×D1112yes—
507C22×C4C23×D1112yes—
508C22×C4C23×D1112yes—
509C4⋊C4—28no—
510C4⋊C4—1116no—
511C4⋊C4—228no—
512C4⋊C4—228no—
513C4⋊C4—228no—
514C4⋊C4—448no—
515C22⋊C4—216no—
516C22⋊C4—1132no—
517C22⋊C4—228no—
518C22⋊C4—228no—
519C22⋊C4—448no—
520C22⋊C4—448no—
521C22⋊C4—448no—
522C42—228no—
523C42—448no—
524C42C2×C22⋊D11116yescomplemented
525C11C2×#232411yescharacteristic, complemented, Sylow
526C23—216no—
527C23—216no—
528C23—216no—
529C23—24no—
530C23—24no—
531C23—24no—
532C23—24no—
533C23—24no—
534C23—24no—
535C23—48no—
536C23—48no—
537C23—48no—
538C23—48no—
539C23—114no—
540C23—228no—
541C23—228no—
542C23—228no—
543C23—222no—
544C23—222no—
545C23—222no—
546C23—222no—
547C23—222no—
548C23—222no—
549C23—444no—
550C23—444no—
551C23—444no—
552C23—444no—
553C23C22×C4×D1118yes—
554C23C22×C4×D1112yes—
555C23C2×#433912yes—
556C23#6703712yes—
557C23#6703712yes—
558C23#6704212yes—
559C23#6704312yes—
560C23C22×C22⋊D1112yes—
561C23C24×D1111yescharacteristic
562D4—232no—
563D4—4432no—
564C2×C4—28no—
565C2×C4—28no—
566C2×C4—22no—
567C2×C4—22no—
568C2×C4—22no—
569C2×C4—22no—
570C2×C4—24no—
571C2×C4—24no—
572C2×C4—24no—
573C2×C4—432no—
574C2×C4—48no—
575C2×C4—114no—
576C2×C4—118no—
577C2×C4—228no—
578C2×C4—2216no—
579C2×C4—222no—
580C2×C4—224no—
581C2×C4—224no—
582C2×C4—222no—
583C2×C4—2232no—
584C2×C4—224no—
585C2×C4—222no—
586C2×C4—224no—
587C2×C4—222no—
588C2×C4—224no—
589C2×C4—222no—
590C2×C4—222no—
591C2×C4—222no—
592C2×C4—222no—
593C2×C4—444no—
594C2×C4—448no—
595C2×C4—444no—
596C2×C4C4×C22⋊D11116yes—
597C2×C4C22×C4×D1114yes—
598C2×C4C2×#433914yes—
599C2×C4C22×C22⋊D1114yes—
600C2×C4C22×C22⋊D1114yes—
601C2×C4C22×C22⋊D1114yes—
602C22—28no—
603C22—28no—
604C22—28no—
605C22—44no—
606C22—44no—
607C22—44no—
608C22—44no—
609C22—432no—
610C22—224no—
611C22—224no—
612C22—224no—
613C22—442no—
614C22—442no—
615C22—442no—
616C22—442no—
617C22—4416no—
618C22#1062307614yes—
619C22#1062307714yes—
620C22#1062309214yes—
621C22#1062309314yes—
622C22C2×C4×C22⋊D1114yes—
623C22#1062333614yes—
624C22#1062336414yes—
625C22C23×C4×D1111yescharacteristic
626C22C22×#433911yescharacteristic
627C22C2×#6703711yescharacteristic
628C22C2×#6703711yescharacteristic
629C22C2×#6704211yescharacteristic
630C22C2×#6704311yescharacteristic
631C22C23×C22⋊D1111yescharacteristic
632C4—24no—
633C4—24no—
634C4—44no—
635C4—224no—
636C4—228no—
637C4—442no—
638C4—442no—
639C4—444no—
640C4C2×C4×C22⋊D1118yes—
641C2—48no—
642C2—444no—
643C2#1307130318yesdirect product factor
644C2C22×C4×C22⋊D1111yescharacteristic
645C2C2×#1062307611yescharacteristic
646C2C2×#1062307711yescharacteristic
647C2C2×#1062333611yescharacteristic
648C2C2×#1062336411yescharacteristic
649C2C2×#1062309311yescharacteristic
650C2C2×#1062309211yescharacteristic
subgroupG/H
centerC24C23×D11
commutatorC22×C11C24×C4
FrattiniC23C24×D11
FittingC22×C4×D4×C11C2
socleC24×C11C24
prime radicalC22×#66991C2
cosocleC23×C11C25
hypercenterC22×C4×D4D11
hypocenterC11C2×#2324
LCSG ▷ C22×C11 ▷ C11
UCSC1 ◁ C24 ◁ C22×C4×D4

Complements

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

NH ≅ G/Ntype
2. C22×#66925C2semidirect
3. #13071303C2direct (N × H)
4. C2×#10622834C2semidirect
5. C2×#10622570C2semidirect
6. C2×#10622586C2semidirect
7. C2×#10622558C2semidirect
8. C2×#10622826C2semidirect
9. C2×#10622823C2semidirect
10. C2×#10622600C2semidirect
11. C2×C4×C4⋊Dic11C2semidirect
12. C22×C4×D4×C11C2semidirect
18. C2×C4×D4×C11C22semidirect
25. C2×#66991C4semidirect
38. C2×#66925C22semidirect
39. #10622834C22semidirect
40. #10622826C22semidirect
41. #10622823C22semidirect
45. #10622600C22semidirect
46. #10622586C22semidirect
47. #10622570C22semidirect
48. #10622558C22semidirect
49. C4×C4⋊Dic11C22semidirect
66. C22×C22⋊D11C2×C4semidirect
75. C22×C4×D11C2×C4semidirect
82. C2×C42×C11D4semidirect
86. C2×C22⋊Dic11C2×C4semidirect
90. #66991C2×C4semidirect
98. C2×C4⋊Dic11C2×C4semidirect
160. C2×C22⋊D11C22×C4semidirect
184. C2×C4×D11C22×C4semidirect
187. C42×C11C2×D4semidirect
190. C22⋊Dic11C22×C4semidirect
195. C4⋊Dic11C22×C4semidirect
202. C22×C4×D4D11semidirect
296. C2×C4×D4C2×D11semidirect
425. C2×C42C22⋊D11semidirect
431. C2×C11#2324semidirect
524. C42C2×C22⋊D11semidirect
525. C11C2×#2324semidirect
643. C2#13071303direct (N × H)

Maximal subgroups

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

subgroupindex
C22×#669912
C22×#669252
#130713032
C2×#106228342
C2×#106225702
C2×#106225862
C2×#106225582
C2×#106228262
C2×#106228232
C2×#106226002
C2×C4×C4⋊Dic112
C22×C4×D4×C112
C2×#232411