Finite Group Databasebeta

← C2×#13073535 #14925542

Subgroups — C2×#13073535 #14925542

Order 2816.

3614 conjugacy classes of subgroups.

The subgroup lattice has 660 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×#66999C211yesmaximal, characteristic, complemented
2C22×Q8×Dic11C211yesmaximal, characteristic, complemented
3C22×C4×C22⋊D11C211yesmaximal, characteristic
4#13073535C2116yesmaximal, direct product factor
5C2×#10622561C212yesmaximal, complemented
6C2×#10622607C212yesmaximal, complemented
7C2×#10622570C212yesmaximal
8C2×#10622585C212yesmaximal, complemented
9C2×#10622589C211yesmaximal, characteristic, complemented
10C2×#10622825C211yesmaximal, characteristic, complemented
11C2×#10622600C211yesmaximal, characteristic, complemented
12C22×C11×C22⋊Q8C211yesmaximal, characteristic, complemented
13C23×Q8×C11C2211yescharacteristic
14C24×C4×C11C2211yescharacteristic
15C23×C22⋊D11C2211yescharacteristic
16C23×C4×D11C2211yescharacteristic
17C2×C11×C22⋊Q8—28no—
18C2×C11×C22⋊Q8C2218yescomplemented
19C22×C11×C4⋊C4C2211yescharacteristic
20C22×C11×C4⋊C4C2212yes—
21C22×C11×C22⋊C4C2212yes—
22C22×C22⋊Dic11C2211yescharacteristic
23C22×C22⋊Dic11C2212yes—
24C2×#66999—28no—
25C2×#66999C2218yescomplemented
26C2×Q8×Dic11—28no—
27C2×Q8×Dic11C2218yescomplemented
28C2×C4×C22⋊D11—28no—
29C2×C4×C22⋊D11C2218yes—
30C22×(C2×D11)⋊C4C2211yescharacteristic
31C22×(C2×D11)⋊C4C2212yes—
32C22×(C2×D11)⋊C4C2212yes—
33C22×C4⋊Dic11C2211yescharacteristic
34C22×C4⋊Dic11C2211yescharacteristic
35C22×C4⋊Dic11C2212yes—
36C22×Dic11⋊C4C2212yes—
37C22×Dic11⋊C4C2211yescharacteristic
38C22×Dic11⋊C4C2212yes—
39C22×Dic11⋊C4C2212yes—
40C22×C4×Dic11C2212yes—
41C22×C4×Dic11C2211yescharacteristic
42#10622825C2218yescomplemented
43C2×C11⋊#95C2212yes—
44C2×C11⋊#95C2212yes—
45#10622607C22116yescomplemented
46#10622600C2218yescomplemented
47#10622589C2218yescomplemented
48#10622585C22116yescomplemented
49#10622570C22116yes—
50#10622561C22116yescomplemented
51C25×C11C2311yescharacteristic
52C24×D11C2311yescharacteristic
53C22×Q8×C11—24no—
54C22×Q8×C11—24no—
55C22×Q8×C11D418yescomplemented
56C22×Q8×C11C2314yes—
57C23×C4×C11—24no—
58C23×C4×C11—24no—
59C23×C4×C11—24no—
60C23×C4×C11C2312yes—
61C23×C4×C11C2311yescharacteristic
62C23×C4×C11C2314yes—
63C23×C4×C11C2312yes—
64C23×C4×C11C2311yescharacteristic
65C22×C22⋊D11—24no—
66C22×C22⋊D11—24no—
67C22×C22⋊D11Q818yescomplemented
68C22×C22⋊D11C2314yes—
69C23×Dic11C2312yes—
70C23×Dic11C2312yes—
71C23×Dic11C2311yescharacteristic
72C23×Dic11C2311yescharacteristic
73C23×Dic11C2311yescharacteristic
74C22×C4×D11—24no—
75C22×C4×D11—24no—
76C22×C4×D11—24no—
77C22×C4×D11C2314yes—
78C11×C22⋊Q8—232no—
79C2×C11×C4⋊C4—24no—
80C2×C11×C4⋊C4—28no—
81C2×C11×C4⋊C4C2318yes—
82C2×C11×C4⋊C4C2314yes—
83C2×C11×C22⋊C4—28no—
84C2×C11×C22⋊C4C2318yes—
85C2×C22⋊Dic11—24no—
86C2×C22⋊Dic11—44no—
87C2×C22⋊Dic11C2314yes—
88C2×C22⋊Dic11C2318yes—
89#66999—232no—
90Q8×Dic11—232no—
91C4×C22⋊D11—232no—
92C2×(C2×D11)⋊C4—28no—
93C2×(C2×D11)⋊C4—24no—
94C2×(C2×D11)⋊C4—44no—
95C2×(C2×D11)⋊C4C2314yes—
96C2×(C2×D11)⋊C4C2318yes—
97C2×(C2×D11)⋊C4C2318yes—
98C2×C4⋊Dic11—24no—
99C2×C4⋊Dic11—24no—
100C2×C4⋊Dic11—28no—
101C2×C4⋊Dic11C2318yes—
102C2×C4⋊Dic11C2314yes—
103C2×C4⋊Dic11C2314yes—
104C2×Dic11⋊C4—28no—
105C2×Dic11⋊C4—24no—
106C2×Dic11⋊C4—28no—
107C2×Dic11⋊C4—44no—
108C2×Dic11⋊C4C2314yes—
109C2×Dic11⋊C4C2318yes—
110C2×Dic11⋊C4C2318yes—
111C2×Dic11⋊C4C2318yes—
112C2×C4×Dic11—28no—
113C2×C4×Dic11D418yes—
114C2×C4×Dic11C2318yes—
115C2×C4×Dic11C2314yes—
116C11⋊#95C2318yes—
117C11⋊#95C2318yes—
118C2×#2538—111nomaximal, Sylow
119C24×C11—22no—
120C24×C11—22no—
121C24×C11—22no—
122C24×C11—22no—
123C24×C11—22no—
124C24×C11—22no—
125C24×C11C2×Q814yes—
126C24×C11C2412yes—
127C24×C11C2411yescharacteristic
128C23×D11—22no—
129C23×D11—22no—
130C23×D11—22no—
131C23×D11—22no—
132C23×D11—22no—
133C23×D11—22no—
134C23×D11C2×Q814yes—
135C23×D11C2412yes—
136C2×Q8×C11—232no—
137C2×Q8×C11—28no—
138C2×Q8×C11—28no—
139C2×Q8×C11C2×D4116yescomplemented
140C22×C4×C11—24no—
141C22×C4×C11—24no—
142C22×C4×C11—22no—
143C22×C4×C11—24no—
144C22×C4×C11—22no—
145C22×C4×C11—24no—
146C22×C4×C11—22no—
147C22×C4×C11—24no—
148C22×C4×C11—28no—
149C22×C4×C11—28no—
150C22×C4×C11—28no—
151C22×C4×C11—416no—
152C22×C4×C11C2×D418yes—
153C22×C4×C11C2×D414yes—
154C22×C4×C11C2×D414yes—
155C22×C4×C11#4114yes—
156C22×C4×C11C2412yes—
157C22×C4×C11C2414yes—
158C22×C4×C11C2414yes—
159C22×C4×C11C2412yes—
160C2×C22⋊D11—232no—
161C2×C22⋊D11—28no—
162C2×C22⋊D11—28no—
163C2×C22⋊D11C2×Q8116yescomplemented
164C22×Dic11—24no—
165C22×Dic11—22no—
166C22×Dic11—24no—
167C22×Dic11—22no—
168C22×Dic11—24no—
169C22×Dic11—22no—
170C22×Dic11—22no—
171C22×Dic11—24no—
172C22×Dic11—24no—
173C22×Dic11—22no—
174C22×Dic11—24no—
175C22×Dic11C2×D414yes—
176C22×Dic11C2×D414yes—
177C22×Dic11C2×Q814yes—
178C22×Dic11#4114yes—
179C22×Dic11C2414yes—
180C22×Dic11C2412yes—
181C22×Dic11C2414yes—
182C22×Dic11C2412yes—
183C22×Dic11C2412yes—
184C2×C4×D11—28no—
185C2×C4×D11—28no—
186C2×C4×D11—28no—
187C2×C4×D11—416no—
188C11×C4⋊C4—28no—
189C11×C4⋊C4—216no—
190C11×C22⋊C4—216no—
191C22⋊Dic11—28no—
192C22⋊Dic11—48no—
193(C2×D11)⋊C4—28no—
194(C2×D11)⋊C4—216no—
195(C2×D11)⋊C4—48no—
196C4⋊Dic11—216no—
197C4⋊Dic11—28no—
198C4⋊Dic11—28no—
199Dic11⋊C4—28no—
200Dic11⋊C4—216no—
201Dic11⋊C4—216no—
202Dic11⋊C4—48no—
203C4×Dic11—216no—
204C4×Dic11C2×D4116yes—
205C22×C22⋊Q8—111no—
206C22×C22⋊Q8D1111yescharacteristic, complemented
207C22×C4×Q8—111no—
208C22×C4×D4—111no—
209#2538—1116no—
210C2×#396—112no—
211C2×#396—112no—
212C2×#390—112no—
213C2×#389—112no—
214C2×#384—111no—
215C2×#380—111no—
216C2×#380—111no—
217C23×C11—28no—
218C23×C11—28no—
219C23×C11—28no—
220C23×C11—22no—
221C23×C11—22no—
222C23×C11—22no—
223C23×C11—22no—
224C23×C11—22no—
225C23×C11—22no—
226C23×C11—44no—
227C23×C11—44no—
228C23×C11—44no—
229C23×C11—44no—
230C23×C11C22×D412yes—
231C23×C11C22×D412yes—
232C23×C11C22×Q814yes—
233C23×C11C22×Q812yes—
234C23×C11C2×#4112yes—
235C23×C11C2×#4112yes—
236C23×C11H(5,𝔽2)12yes—
237C23×C112−1+412yes—
238C23×C11C2511yescharacteristic
239C22×D11—28no—
240C22×D11—28no—
241C22×D11—28no—
242C22×D11—22no—
243C22×D11—22no—
244C22×D11—22no—
245C22×D11—22no—
246C22×D11—22no—
247C22×D11—22no—
248C22×D11—44no—
249C22×D11—44no—
250C22×D11—44no—
251C22×D11—44no—
252C22×D11C22×Q814yes—
253Q8×C11—232no—
254C2×C4×C11—216no—
255C2×C4×C11—24no—
256C2×C4×C11—24no—
257C2×C4×C11—22no—
258C2×C4×C11—24no—
259C2×C4×C11—22no—
260C2×C4×C11—24no—
261C2×C4×C11—22no—
262C2×C4×C11—24no—
263C2×C4×C11—44no—
264C2×C4×C11—48no—
265C2×C4×C11—416no—
266C2×C4×C11#121116yes—
267C2×C4×C11C22×D414yes—
268C2×C4×C11C22×D418yes—
269C2×C4×C11C22×D414yes—
270C2×C4×C11C2×#4114yes—
271C22⋊D11—232no—
272C2×Dic11—28no—
273C2×Dic11—22no—
274C2×Dic11—22no—
275C2×Dic11—24no—
276C2×Dic11—22no—
277C2×Dic11—24no—
278C2×Dic11—22no—
279C2×Dic11—24no—
280C2×Dic11—22no—
281C2×Dic11—24no—
282C2×Dic11—24no—
283C2×Dic11—24no—
284C2×Dic11—44no—
285C2×Dic11—48no—
286C2×Dic11—48no—
287C2×Dic11C22⋊Q8116yescomplemented
288C2×Dic11C22×D414yes—
289C2×Dic11C22×D414yes—
290C2×Dic11C22×Q814yes—
291C2×Dic11C2×#4114yes—
292C4×D11—416no—
293C23×Q8C2×D1111yescharacteristic
294C23×D4—111no—
295C24×C4—111no—
296C24×C4C2×D1111yescharacteristic
297C2×C22⋊Q8—28no—
298C2×C22⋊Q8—118no—
299C2×C22⋊Q8—228no—
300C2×C22⋊Q8C2×D1118yescomplemented
301C2×C4×Q8—118no—
302C2×C4×Q8—228no—
303C2×C4×D4—118no—
304C2×C4×D4—228no—
305C22×C4⋊C4—112no—
306C22×C4⋊C4—111no—
307C22×C4⋊C4—112no—
308C22×C4⋊C4—112no—
309C22×C4⋊C4—111no—
310C22×C4⋊C4—111no—
311C22×C4⋊C4—112no—
312C22×C4⋊C4C2×D1112yes—
313C22×C4⋊C4C2×D1111yescharacteristic
314C22×C22⋊C4—111no—
315C22×C22⋊C4—111no—
316C22×C22⋊C4—112no—
317C22×C22⋊C4—112no—
318C22×C22⋊C4—112no—
319C22×C22⋊C4C2×D1112yes—
320C22×C42—111no—
321C22×C42—112no—
322#396—1116no—
323#396—1116no—
324#390—1116no—
325#389—1116no—
326#384—118no—
327#380—118no—
328#380—118no—
329C2×#95—112no—
330C2×#95—112no—
331C22×C11—24no—
332C22×C11—24no—
333C22×C11—24no—
334C22×C11—42no—
335C22×C11—42no—
336C22×C11—42no—
337C22×C11—42no—
338C22×C11—416no—
339C22×C11C2×#12114yes—
340C22×C11C2×C22⋊Q814yes—
341C22×C11#53714yes—
342C22×C11D4×Q814yes—
343C22×C11#55014yes—
344C22×C11#55414yes—
345C22×C11#55614yes—
346C22×C11C23×D411yescharacteristic
347C22×C11C23×D411yescharacteristic
348C22×C11C23×Q811yescharacteristic
349C22×C11C22×#4111yescharacteristic
350C22×C11C22×#4111yescharacteristic
351C22×C11C2×H(5,𝔽2)11yescharacteristic
352C22×C11C2×2−1+411yescharacteristic
353C2×D11—24no—
354C2×D11—24no—
355C2×D11—24no—
356C2×D11—42no—
357C2×D11—42no—
358C2×D11—42no—
359C2×D11—42no—
360C2×D11—416no—
361C4×C11—28no—
362C4×C11—42no—
363C4×C11—44no—
364C4×C11C2×#12118yes—
365Dic11—24no—
366Dic11—42no—
367Dic11—44no—
368Dic11—44no—
369Dic11C2×C22⋊Q818yescomplemented
370C25—111no—
371C25C22×D1111yescharacteristic
372C22×Q8—24no—
373C22×Q8—24no—
374C22×Q8C22⋊D1118yescomplemented
375C22×Q8C22×D1114yes—
376C22×D4—118no—
377C22×D4—114no—
378C22×D4—224no—
379C22×D4—224no—
380C23×C4—24no—
381C23×C4—24no—
382C23×C4—24no—
383C23×C4—111no—
384C23×C4—111no—
385C23×C4—112no—
386C23×C4—112no—
387C23×C4—111no—
388C23×C4—114no—
389C23×C4—224no—
390C23×C4—224no—
391C23×C4—224no—
392C23×C4C22×D1114yes—
393C23×C4C22×D1112yes—
394C23×C4C22×D1111yescharacteristic
395C23×C4C22×D1112yes—
396C23×C4C22×D1111yescharacteristic
397C22⋊Q8—232no—
398C22⋊Q8—2232no—
399C4×Q8—2232no—
400C4×D4—2232no—
401C2×C4⋊C4—24no—
402C2×C4⋊C4—28no—
403C2×C4⋊C4—114no—
404C2×C4⋊C4—114no—
405C2×C4⋊C4—118no—
406C2×C4⋊C4—114no—
407C2×C4⋊C4—118no—
408C2×C4⋊C4—118no—
409C2×C4⋊C4—118no—
410C2×C4⋊C4—224no—
411C2×C4⋊C4—228no—
412C2×C4⋊C4—228no—
413C2×C4⋊C4—224no—
414C2×C4⋊C4—228no—
415C2×C4⋊C4—224no—
416C2×C4⋊C4—444no—
417C2×C4⋊C4C22×D1114yes—
418C2×C4⋊C4C22×D1118yes—
419C2×C22⋊C4—28no—
420C2×C22⋊C4—114no—
421C2×C22⋊C4—114no—
422C2×C22⋊C4—118no—
423C2×C22⋊C4—118no—
424C2×C22⋊C4—118no—
425C2×C22⋊C4—224no—
426C2×C22⋊C4—224no—
427C2×C22⋊C4—228no—
428C2×C22⋊C4—444no—
429C2×C22⋊C4—444no—
430C2×C22⋊C4C22×D1118yes—
431C2×C42—118no—
432C2×C42—114no—
433C2×C42—118no—
434C2×C42—228no—
435#95—118no—
436#95—118no—
437C2×C11—44no—
438C2×C11#253818yescomplemented
439C2×C11C22×#12111yescharacteristic
440C2×C11C22×C22⋊Q811yescharacteristic
441C2×C11C2×#53711yescharacteristic
442C2×C11C2×D4×Q811yescharacteristic
443C2×C11C2×#55011yescharacteristic
444C2×C11C2×#55411yescharacteristic
445C2×C11C2×#55611yescharacteristic
446D11—44no—
447C24—22no—
448C24—22no—
449C24—22no—
450C24—22no—
451C24—22no—
452C24—22no—
453C24—114no—
454C24—112no—
455C24—222no—
456C24—222no—
457C24—222no—
458C24—222no—
459C24—222no—
460C24—222no—
461C24Q8×D1114yes—
462C24C23×D1112yes—
463C24C23×D1111yescharacteristic
464C2×Q8—232no—
465C2×Q8—28no—
466C2×Q8—28no—
467C2×Q8C2×C22⋊D11116yescomplemented
468C2×D4—1116no—
469C2×D4—228no—
470C2×D4—2232no—
471C2×D4—228no—
472C22×C4—24no—
473C22×C4—24no—
474C22×C4—22no—
475C22×C4—22no—
476C22×C4—24no—
477C22×C4—24no—
478C22×C4—24no—
479C22×C4—22no—
480C22×C4—28no—
481C22×C4—28no—
482C22×C4—28no—
483C22×C4—416no—
484C22×C4—114no—
485C22×C4—114no—
486C22×C4—114no—
487C22×C4—112no—
488C22×C4—114no—
489C22×C4—112no—
490C22×C4—114no—
491C22×C4—112no—
492C22×C4—114no—
493C22×C4—222no—
494C22×C4—222no—
495C22×C4—224no—
496C22×C4—222no—
497C22×C4—222no—
498C22×C4—224no—
499C22×C4—224no—
500C22×C4—224no—
501C22×C4—224no—
502C22×C4—224no—
503C22×C4—222no—
504C22×C4—228no—
505C22×C4—228no—
506C22×C4—228no—
507C22×C4—4416no—
508C22×C4D4×D1114yes—
509C22×C4#434114yes—
510C22×C4C2×C22⋊D1118yes—
511C22×C4C2×C22⋊D1114yes—
512C22×C4C23×D1112yes—
513C22×C4C23×D1114yes—
514C22×C4C23×D1114yes—
515C22×C4C23×D1112yes—
516C4⋊C4—28no—
517C4⋊C4—216no—
518C4⋊C4—228no—
519C4⋊C4—2216no—
520C4⋊C4—2216no—
521C4⋊C4—228no—
522C4⋊C4—2216no—
523C4⋊C4—228no—
524C4⋊C4—448no—
525C22⋊C4—216no—
526C22⋊C4—228no—
527C22⋊C4—228no—
528C22⋊C4—2216no—
529C22⋊C4—448no—
530C22⋊C4—448no—
531C42—1116no—
532C42—2216no—
533C11C2×#253811yescharacteristic, complemented, Sylow
534C23—28no—
535C23—28no—
536C23—28no—
537C23—22no—
538C23—22no—
539C23—22no—
540C23—22no—
541C23—22no—
542C23—22no—
543C23—44no—
544C23—44no—
545C23—44no—
546C23—44no—
547C23—114no—
548C23—228no—
549C23—228no—
550C23—228no—
551C23—222no—
552C23—222no—
553C23—222no—
554C23—222no—
555C23—222no—
556C23—222no—
557C23—444no—
558C23—444no—
559C23—444no—
560C23—444no—
561C23C2×D4×D1112yes—
562C23C2×#434112yes—
563C23C2×Q8×D1114yes—
564C23C2×Q8×D1112yes—
565C23#6704012yes—
566C23#41×D1112yes—
567C23#6704212yes—
568C23C22×C22⋊D1112yes—
569C23C24×D1111yescharacteristic
570Q8—232no—
571D4—2232no—
572C2×C4—216no—
573C2×C4—24no—
574C2×C4—24no—
575C2×C4—22no—
576C2×C4—22no—
577C2×C4—24no—
578C2×C4—24no—
579C2×C4—24no—
580C2×C4—22no—
581C2×C4—44no—
582C2×C4—48no—
583C2×C4—416no—
584C2×C4—1116no—
585C2×C4—114no—
586C2×C4—114no—
587C2×C4—114no—
588C2×C4—114no—
589C2×C4—228no—
590C2×C4—222no—
591C2×C4—222no—
592C2×C4—224no—
593C2×C4—222no—
594C2×C4—222no—
595C2×C4—224no—
596C2×C4—224no—
597C2×C4—224no—
598C2×C4—224no—
599C2×C4—224no—
600C2×C4—222no—
601C2×C4—444no—
602C2×C4—448no—
603C2×C4—448no—
604C2×C4—4416no—
605C2×C4#66992116yes—
606C2×C4C2×D4×D1114yes—
607C2×C4C2×#434114yes—
608C2×C4C22×C22⋊D1118yes—
609C2×C4C22×C22⋊D1114yes—
610C22—24no—
611C22—24no—
612C22—24no—
613C22—42no—
614C22—42no—
615C22—416no—
616C22—42no—
617C22—42no—
618C22—224no—
619C22—224no—
620C22—224no—
621C22—442no—
622C22—442no—
623C22—4416no—
624C22—442no—
625C22—442no—
626C22D11×C22⋊Q814yes—
627C22#1062316014yes—
628C22#1062316614yes—
629C22#1062317214yes—
630C22C2×#6699214yes—
631C22Q8×C22⋊D1114yes—
632C22#1062336514yes—
633C22C22×D4×D1111yescharacteristic
634C22C22×#434111yescharacteristic
635C22C22×Q8×D1111yescharacteristic
636C22C2×#6704011yescharacteristic
637C22C2×#41×D1111yescharacteristic
638C22C2×#6704211yescharacteristic
639C22C23×C22⋊D1111yescharacteristic
640C4—28no—
641C4—42no—
642C4—44no—
643C4—118no—
644C4—224no—
645C4—444no—
646C4—442no—
647C4—444no—
648C4C2×#6699218yes—
649C2—44no—
650C2—444no—
651C2#1307353518yesdirect product factor
652C2C22×#6699211yescharacteristic
653C2C2×D11×C22⋊Q811yescharacteristic
654C2C2×#1062316011yescharacteristic
655C2C2×Q8×C22⋊D1111yescharacteristic
656C2C2×#1062336511yescharacteristic
657C2C2×#1062316611yescharacteristic
658C2C2×#1062317211yescharacteristic
subgroupG/H
centerC24C23×D11
commutator, cosocleC23×C11C25
FrattiniC23C24×D11
FittingC22×C11×C22⋊Q8C2
socleC24×C11C24
prime radicalC23×C22⋊D11C22
hypercenterC22×C22⋊Q8D11
hypocenterC11C2×#2538
LCSG ▷ C23×C11 ▷ C11
UCSC1 ◁ C24 ◁ C22×C22⋊Q8

Complements

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

NH ≅ G/Ntype
1. C22×#66999C2semidirect
2. C22×Q8×Dic11C2semidirect
4. #13073535C2direct (N × H)
5. C2×#10622561C2semidirect
6. C2×#10622607C2semidirect
8. C2×#10622585C2semidirect
9. C2×#10622589C2semidirect
10. C2×#10622825C2semidirect
11. C2×#10622600C2semidirect
12. C22×C11×C22⋊Q8C2semidirect
18. C2×C11×C22⋊Q8C22semidirect
25. C2×#66999C22semidirect
27. C2×Q8×Dic11C22semidirect
42. #10622825C22semidirect
45. #10622607C22semidirect
46. #10622600C22semidirect
47. #10622589C22semidirect
48. #10622585C22semidirect
50. #10622561C22semidirect
55. C22×Q8×C11D4semidirect
67. C22×C22⋊D11Q8semidirect
139. C2×Q8×C11C2×D4semidirect
163. C2×C22⋊D11C2×Q8semidirect
206. C22×C22⋊Q8D11semidirect
287. C2×Dic11C22⋊Q8semidirect
300. C2×C22⋊Q8C2×D11semidirect
369. Dic11C2×C22⋊Q8semidirect
374. C22×Q8C22⋊D11semidirect
438. C2×C11#2538semidirect
467. C2×Q8C2×C22⋊D11semidirect
533. C11C2×#2538semidirect
651. C2#13073535direct (N × H)

Maximal subgroups

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

subgroupindex
C22×#669992
C22×Q8×Dic112
C22×C4×C22⋊D112
#130735352
C2×#106225612
C2×#106226072
C2×#106225702
C2×#106225852
C2×#106225892
C2×#106228252
C2×#106226002
C22×C11×C22⋊Q82
C2×#253811