Finite Group Databasebeta

← #14677477

Subgroups — #14677477

Order 2816.

2366 conjugacy classes of subgroups.

The subgroup lattice has 714 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#10622585C212yesmaximal, complemented
2C2×#10622823C211yesmaximal, characteristic
3C2×#10622823C211yesmaximal, characteristic
4C2×#10622823C211yesmaximal, characteristic
5C2×C4×C22⋊Dic11C211yesmaximal, characteristic
6#13066879C212yesmaximal, complemented
7#13066866C212yesmaximal, complemented
8#13066848C212yesmaximal, complemented
9#13066839C211yesmaximal, characteristic
10#13066839C211yesmaximal, characteristic
11C23×C11×C4⋊C4C211yesmaximal, characteristic
12C24×C4×C11C2211yescharacteristic
13C24×C4×C11C2211yescharacteristic
14C24×C4×C11C2211yescharacteristic
15C22×C11×C4⋊C4—24no—
16C22×C11×C4⋊C4—28no—
17C22×C11×C4⋊C4C2212yes—
18C22×C11×C4⋊C4C2212yes—
19C22×C22⋊Dic11C2211yescharacteristic
20C22×C22⋊Dic11C2211yescharacteristic
21C22×C22⋊Dic11C2211yescharacteristic
22C22×C22⋊Dic11C2211yescharacteristic
23C22×Dic11⋊C4C2211yescharacteristic
24C22×Dic11⋊C4C2212yes—
25C22×Dic11⋊C4C2212yes—
26C22×Dic11⋊C4C2211yescharacteristic
27C22×C4×Dic11C2212yes—
28#10622823—24no—
29#10622823—24no—
30#10622823C418yescomplemented
31C4×C22⋊Dic11—24no—
32C2×C11⋊#95C2212yes—
33C2×C11⋊#95C2212yes—
34C2×C11⋊#95C2212yes—
35C2×C11⋊#95C2211yescharacteristic
36C2×C11⋊#95C2212yes—
37C2×C11⋊#95C2212yes—
38C2×C11⋊#95C2211yescharacteristic
39C2×C11⋊#95C2212yes—
40C2×C11⋊#95C2212yes—
41#10622585—28no—
42C25×C11C2311yescharacteristic
43C23×C4×C11—22no—
44C23×C4×C11—22no—
45C23×C4×C11—24no—
46C23×C4×C11—24no—
47C23×C4×C11—22no—
48C23×C4×C11—22no—
49C23×C4×C11—22no—
50C23×C4×C11—24no—
51C23×C4×C11—24no—
52C23×C4×C11—22no—
53C23×C4×C11—22no—
54C23×C4×C11—42no—
55C23×C4×C11—42no—
56C23×C4×C11C2×C414yes—
57C23×C4×C11D414yes—
58C23×C4×C11C2311yescharacteristic
59C23×C4×C11C2312yes—
60C23×C4×C11C2312yes—
61C23×C4×C11C2311yescharacteristic
62C23×Dic11C2311yescharacteristic
63C23×Dic11C2311yescharacteristic
64C23×Dic11C2311yescharacteristic
65C23×Dic11C2311yescharacteristic
66C23×Dic11C2312yes—
67C23×Dic11C2312yes—
68C2×C11×C4⋊C4—232no—
69C2×C11×C4⋊C4—24no—
70C2×C11×C4⋊C4—24no—
71C2×C11×C4⋊C4—24no—
72C2×C11×C4⋊C4—24no—
73C2×C11×C4⋊C4—24no—
74C2×C11×C4⋊C4D418yes—
75C2×C22⋊Dic11—22no—
76C2×C22⋊Dic11—22no—
77C2×C22⋊Dic11—22no—
78C2×C22⋊Dic11—22no—
79C2×C22⋊Dic11—22no—
80C2×C22⋊Dic11—22no—
81C2×C22⋊Dic11—22no—
82C2×C22⋊Dic11C2×C414yes—
83C2×C22⋊Dic11C2×C414yes—
84C2×C22⋊Dic11D414yes—
85C2×C22⋊Dic11Q814yes—
86C2×C22⋊Dic11Q814yes—
87C2×Dic11⋊C4—24no—
88C2×Dic11⋊C4—24no—
89C2×Dic11⋊C4—22no—
90C2×Dic11⋊C4—22no—
91C2×Dic11⋊C4—24no—
92C2×Dic11⋊C4—24no—
93C2×Dic11⋊C4—24no—
94C2×Dic11⋊C4—42no—
95C2×Dic11⋊C4—42no—
96C2×Dic11⋊C4C2×C418yescomplemented
97C2×C4×Dic11—24no—
98C2×C4×Dic11—24no—
99C2×C4×Dic11—42no—
100C11⋊#95—22no—
101C11⋊#95—22no—
102C11⋊#95—24no—
103C11⋊#95—24no—
104C11⋊#95—24no—
105C11⋊#95—24no—
106C11⋊#95—24no—
107C11⋊#95—42no—
108C11⋊#95C2×C418yescomplemented
109#14043—111nomaximal, Sylow
110C24×C11—22no—
111C24×C11—22no—
112C24×C11—22no—
113C24×C11—22no—
114C24×C11C22×C412yes—
115C24×C11C2×D412yes—
116C24×C11C2×D412yes—
117C24×C11C2×Q812yes—
118C24×C11C2×Q812yes—
119C24×C11#4112yes—
120C24×C11#4112yes—
121C24×C11C2411yescharacteristic
122C22×C4×C11—28no—
123C22×C4×C11—216no—
124C22×C4×C11—28no—
125C22×C4×C11—28no—
126C22×C4×C11—21no—
127C22×C4×C11—22no—
128C22×C4×C11—22no—
129C22×C4×C11—22no—
130C22×C4×C11—22no—
131C22×C4×C11—21no—
132C22×C4×C11—22no—
133C22×C4×C11—216no—
134C22×C4×C11—28no—
135C22×C4×C11—28no—
136C22×C4×C11—21no—
137C22×C4×C11—22no—
138C22×C4×C11—22no—
139C22×C4×C11—22no—
140C22×C4×C11—22no—
141C22×C4×C11—21no—
142C22×C4×C11—22no—
143C22×C4×C11—22no—
144C22×C4×C11—22no—
145C22×C4×C11—22no—
146C22×C4×C11—28no—
147C22×C4×C11—44no—
148C22×C4×C11—48no—
149C22×C4×C11—48no—
150C22×C4×C11—48no—
151C22×C4×C11—48no—
152C22×C4×C11—44no—
153C22×C4×C11—44no—
154C22×C4×C11C22×C414yes—
155C22×C4×C11C2×D412yes—
156C22×C4×C11C2×D414yes—
157C22×C4×C11C2×D414yes—
158C22×C4×C11C2×D412yes—
159C22×C4×C11C2×D414yes—
160C22×C4×C11#4114yes—
161C22×Dic11—22no—
162C22×Dic11—22no—
163C22×Dic11—22no—
164C22×Dic11—22no—
165C22×Dic11—21no—
166C22×Dic11—21no—
167C22×Dic11—21no—
168C22×Dic11—21no—
169C22×Dic11—22no—
170C22×Dic11—21no—
171C22×Dic11—21no—
172C22×Dic11—22no—
173C22×Dic11—22no—
174C22×Dic11—22no—
175C22×Dic11—21no—
176C22×Dic11—21no—
177C22×Dic11—22no—
178C22×Dic11—22no—
179C22×Dic11—21no—
180C22×Dic11—21no—
181C22×Dic11—22no—
182C22×Dic11—22no—
183C22×Dic11—22no—
184C22×Dic11—22no—
185C22×Dic11—22no—
186C22×Dic11—22no—
187C22×Dic11—22no—
188C22×Dic11—22no—
189C22×Dic11C22×C412yes—
190C22×Dic11C22×C412yes—
191C22×Dic11C22×C414yes—
192C22×Dic11C2×D414yes—
193C22×Dic11C2×Q814yes—
194C22×Dic11C2×Q814yes—
195C11×C4⋊C4—216no—
196C11×C4⋊C4—216no—
197C22⋊Dic11—28no—
198C22⋊Dic11—28no—
199C22⋊Dic11—44no—
200C22⋊Dic11C4⋊C4116yescomplemented
201Dic11⋊C4—216no—
202Dic11⋊C4—48no—
203Dic11⋊C4—44no—
204Dic11⋊C4—44no—
205C4×Dic11—48no—
206C23×C4⋊C4D1111yescharacteristic
207C2×#389—112no—
208C2×#385—111no—
209C2×#385—111no—
210C2×#385—111no—
211C2×C4×C22⋊C4—111no—
212#1444—112no—
213#1441—112no—
214#1436—112no—
215C22⋊#95—111no—
216C22⋊#95—111no—
217C23×C11—24no—
218C23×C11—24no—
219C23×C11—22no—
220C23×C11—22no—
221C23×C11—24no—
222C23×C11—22no—
223C23×C11—22no—
224C23×C11—24no—
225C23×C11—24no—
226C23×C11—24no—
227C23×C11—24no—
228C23×C11—24no—
229C23×C11—24no—
230C23×C11—24no—
231C23×C11—24no—
232C23×C11—24no—
233C23×C11C2×C4⋊C414yes—
234C23×C11C4×D414yes—
235C23×C11C4×Q814yes—
236C23×C11#12114yes—
237C23×C11C22⋊Q814yes—
238C23×C11#12514yes—
239C23×C11C4⋊Q814yes—
240C23×C11C23×C411yescharacteristic
241C23×C11C22×D411yescharacteristic
242C23×C11C22×D411yescharacteristic
243C23×C11C22×D412yes—
244C23×C11C22×Q811yescharacteristic
245C23×C11C22×Q811yescharacteristic
246C23×C11C2×#4111yescharacteristic
247C23×C11C2×#4112yes—
248C23×C11C2×#4111yescharacteristic
249C23×C11H(5,𝔽2)12yes—
250C23×C112−1+412yes—
251C2×C4×C11—232no—
252C2×C4×C11—24no—
253C2×C4×C11—24no—
254C2×C4×C11—24no—
255C2×C4×C11—22no—
256C2×C4×C11—24no—
257C2×C4×C11—24no—
258C2×C4×C11—24no—
259C2×C4×C11—22no—
260C2×C4×C11—24no—
261C2×C4×C11—24no—
262C2×C4×C11—22no—
263C2×C4×C11—24no—
264C2×C4×C11—22no—
265C2×C4×C11—22no—
266C2×C4×C11—24no—
267C2×C4×C11—24no—
268C2×C4×C11—416no—
269C2×C4×C11—416no—
270C2×C4×C11—42no—
271C2×C4×C11—42no—
272C2×C4×C11—42no—
273C2×C4×C11—42no—
274C2×C4×C11—42no—
275C2×C4×C11—42no—
276C2×C4×C11C4×D418yes—
277C2×C4×C11#12014yes—
278C2×Dic11—24no—
279C2×Dic11—24no—
280C2×Dic11—24no—
281C2×Dic11—24no—
282C2×Dic11—24no—
283C2×Dic11—24no—
284C2×Dic11—24no—
285C2×Dic11—22no—
286C2×Dic11—22no—
287C2×Dic11—24no—
288C2×Dic11—24no—
289C2×Dic11—24no—
290C2×Dic11—24no—
291C2×Dic11—41no—
292C2×Dic11—42no—
293C2×Dic11—41no—
294C2×Dic11—42no—
295C2×Dic11—41no—
296C2×Dic11—41no—
297C2×Dic11—42no—
298C2×Dic11—42no—
299C2×Dic11—42no—
300C2×Dic11—42no—
301C2×Dic11—41no—
302C2×Dic11—41no—
303C2×Dic11—41no—
304C2×Dic11—41no—
305C2×Dic11—41no—
306C2×Dic11—41no—
307C2×Dic11—42no—
308C2×Dic11—42no—
309C2×Dic11—42no—
310C2×Dic11—42no—
311C2×Dic11C2×C4⋊C418yescomplemented
312C24×C4C2×D1111yescharacteristic
313C24×C4C2×D1111yescharacteristic
314C24×C4C2×D1111yescharacteristic
315C22×C4⋊C4—24no—
316C22×C4⋊C4—28no—
317C22×C4⋊C4—112no—
318C22×C4⋊C4—111no—
319C22×C4⋊C4—112no—
320C22×C4⋊C4—111no—
321C22×C4⋊C4C2×D1112yes—
322C22×C4⋊C4C2×D1112yes—
323C22×C22⋊C4—111no—
324C22×C22⋊C4—111no—
325C22×C22⋊C4—111no—
326C22×C22⋊C4—111no—
327C22×C42—112no—
328#389—228no—
329#385—118no—
330#385—224no—
331#385—224no—
332C4×C22⋊C4—224no—
333C2×#95—112no—
334C2×#95—112no—
335C2×#95—112no—
336C2×#95—112no—
337C2×#95—111no—
338C2×#95—112no—
339C2×#95—111no—
340C2×#95—112no—
341C2×#95—112no—
342C22×C11—24no—
343C22×C11—24no—
344C22×C11—28no—
345C22×C11—28no—
346C22×C11—24no—
347C22×C11—24no—
348C22×C11—24no—
349C22×C11—28no—
350C22×C11—28no—
351C22×C11—24no—
352C22×C11#38918yescomplemented
353C22×C11C22×C4⋊C411yescharacteristic
354C22×C11C2×C4×D411yescharacteristic
355C22×C11C2×C4×D412yes—
356C22×C11C2×C4×Q811yescharacteristic
357C22×C11#52012yes—
358C22×C11C2×#12011yescharacteristic
359C22×C11C2×#12111yescharacteristic
360C22×C11C2×C22⋊Q811yescharacteristic
361C22×C11#52511yescharacteristic
362C22×C11#52512yes—
363C22×C11C2×#12511yescharacteristic
364C22×C11C2×C4⋊Q811yescharacteristic
365C22×C11#53411yescharacteristic
366C22×C11#53611yescharacteristic
367C22×C11#53912yes—
368C22×C11D4212yes—
369C22×C11#54612yes—
370C22×C11#54712yes—
371C22×C11D4×Q812yes—
372C22×C11D4×Q812yes—
373C22×C11#55212yes—
374C22×C11#55412yes—
375C22×C11#55412yes—
376C4×C11—24no—
377C4×C11—28no—
378C4×C11—42no—
379C4×C11—44no—
380Dic11—28no—
381Dic11—42no—
382Dic11—44no—
383Dic11—42no—
384Dic11—81no—
385Dic11—81no—
386C25C22×D1111yescharacteristic
387C23×C4—22no—
388C23×C4—22no—
389C23×C4—24no—
390C23×C4—24no—
391C23×C4—22no—
392C23×C4—22no—
393C23×C4—22no—
394C23×C4—24no—
395C23×C4—24no—
396C23×C4—22no—
397C23×C4—22no—
398C23×C4—42no—
399C23×C4—42no—
400C23×C4—112no—
401C23×C4—111no—
402C23×C4—111no—
403C23×C4—112no—
404C23×C4—111no—
405C23×C4—111no—
406C23×C4C4×D1114yes—
407C23×C4C22⋊D1114yes—
408C23×C4C22×D1111yescharacteristic
409C23×C4C22×D1112yes—
410C23×C4C22×D1112yes—
411C23×C4C22×D1111yescharacteristic
412C2×C4⋊C4—232no—
413C2×C4⋊C4—24no—
414C2×C4⋊C4—24no—
415C2×C4⋊C4—24no—
416C2×C4⋊C4—24no—
417C2×C4⋊C4—24no—
418C2×C4⋊C4—118no—
419C2×C4⋊C4—224no—
420C2×C4⋊C4—224no—
421C2×C4⋊C4—224no—
422C2×C4⋊C4—222no—
423C2×C4⋊C4—222no—
424C2×C4⋊C4—224no—
425C2×C4⋊C4—224no—
426C2×C4⋊C4—442no—
427C2×C4⋊C4—442no—
428C2×C4⋊C4C22⋊D1118yes—
429C2×C22⋊C4—114no—
430C2×C22⋊C4—114no—
431C2×C22⋊C4—114no—
432C2×C22⋊C4—114no—
433C2×C22⋊C4—114no—
434C2×C22⋊C4—222no—
435C2×C22⋊C4—222no—
436C2×C22⋊C4—222no—
437C2×C22⋊C4—222no—
438C2×C22⋊C4—222no—
439C2×C22⋊C4—222no—
440C2×C22⋊C4—222no—
441C2×C42—224no—
442C2×C42—224no—
443C2×C42—442no—
444#95—118no—
445#95—224no—
446#95—224no—
447#95—224no—
448#95—222no—
449#95—222no—
450#95—224no—
451#95—224no—
452#95—442no—
453C2×C11—28no—
454C2×C11C2×#38911yescharacteristic
455C2×C11C4×#12011yescharacteristic
456C2×C11#232211yescharacteristic
457C2×C11D4×C4⋊C412yes—
458C2×C11#236012yes—
459C2×C11#241011yescharacteristic
460C2×C11#241311yescharacteristic
461C2×C11#243411yescharacteristic
462C2×C11#244912yes—
463C2×C11#247312yes—
464C2×C11#258311yescharacteristic
465C24—22no—
466C24—22no—
467C24—22no—
468C24—22no—
469C24C2×C4×D1112yes—
470C24#433912yes—
471C24D4×D1112yes—
472C24#434112yes—
473C24Q8×D1112yes—
474C24Q8×D1112yes—
475C24C2×C22⋊D1112yes—
476C24C23×D1111yescharacteristic
477C22×C4—28no—
478C22×C4—28no—
479C22×C4—216no—
480C22×C4—28no—
481C22×C4—22no—
482C22×C4—22no—
483C22×C4—21no—
484C22×C4—21no—
485C22×C4—22no—
486C22×C4—22no—
487C22×C4—22no—
488C22×C4—216no—
489C22×C4—28no—
490C22×C4—28no—
491C22×C4—21no—
492C22×C4—22no—
493C22×C4—21no—
494C22×C4—22no—
495C22×C4—22no—
496C22×C4—22no—
497C22×C4—22no—
498C22×C4—22no—
499C22×C4—22no—
500C22×C4—22no—
501C22×C4—28no—
502C22×C4—44no—
503C22×C4—48no—
504C22×C4—48no—
505C22×C4—48no—
506C22×C4—48no—
507C22×C4—44no—
508C22×C4—44no—
509C22×C4—114no—
510C22×C4—114no—
511C22×C4—114no—
512C22×C4—112no—
513C22×C4—112no—
514C22×C4—114no—
515C22×C4—222no—
516C22×C4—222no—
517C22×C4—222no—
518C22×C4—222no—
519C22×C4—222no—
520C22×C4—222no—
521C22×C4—221no—
522C22×C4—221no—
523C22×C4—222no—
524C22×C4—222no—
525C22×C4—222no—
526C22×C4—222no—
527C22×C4—222no—
528C22×C4—222no—
529C22×C4—222no—
530C22×C4—221no—
531C22×C4—221no—
532C22×C4—222no—
533C22×C4—222no—
534C22×C4—221no—
535C22×C4—221no—
536C22×C4—221no—
537C22×C4—221no—
538C22×C4—222no—
539C22×C4—222no—
540C22×C4—221no—
541C22×C4—222no—
542C22×C4—221no—
543C22×C4C2×C4×D1114yes—
544C22×C4#433914yes—
545C22×C4C2×C22⋊D1112yes—
546C22×C4C2×C22⋊D1114yes—
547C22×C4C2×C22⋊D1114yes—
548C22×C4C2×C22⋊D1112yes—
549C22×C4C2×C22⋊D1114yes—
550C4⋊C4—216no—
551C4⋊C4—216no—
552C4⋊C4—2216no—
553C4⋊C4—448no—
554C4⋊C4—444no—
555C4⋊C4—444no—
556C22⋊C4—1116no—
557C22⋊C4—228no—
558C22⋊C4—228no—
559C22⋊C4—444no—
560C42—448no—
561C11#1404311yescharacteristic, complemented, Sylow
562C23—24no—
563C23—24no—
564C23—24no—
565C23—24no—
566C23—24no—
567C23—24no—
568C23—24no—
569C23—24no—
570C23—22no—
571C23—24no—
572C23—22no—
573C23—24no—
574C23—24no—
575C23—24no—
576C23—22no—
577C23—22no—
578C23#6694014yes—
579C23#6694214yes—
580C23C4⋊C4×D1114yes—
581C23#6694914yes—
582C23C4×C22⋊D1114yes—
583C23#6699214yes—
584C23#6699714yes—
585C23C22×C4×D1111yescharacteristic
586C23C2×#433911yescharacteristic
587C23C2×#433912yes—
588C23C2×D4×D1111yescharacteristic
589C23C2×#434111yescharacteristic
590C23#6703712yes—
591C23C2×Q8×D1111yescharacteristic
592C23C2×Q8×D1111yescharacteristic
593C23#6704012yes—
594C23C22×C22⋊D1112yes—
595C23C22×C22⋊D1111yescharacteristic
596C2×C4—232no—
597C2×C4—24no—
598C2×C4—24no—
599C2×C4—24no—
600C2×C4—24no—
601C2×C4—24no—
602C2×C4—24no—
603C2×C4—22no—
604C2×C4—22no—
605C2×C4—24no—
606C2×C4—24no—
607C2×C4—24no—
608C2×C4—22no—
609C2×C4—22no—
610C2×C4—24no—
611C2×C4—22no—
612C2×C4—24no—
613C2×C4—416no—
614C2×C4—416no—
615C2×C4—42no—
616C2×C4—42no—
617C2×C4—42no—
618C2×C4—42no—
619C2×C4—42no—
620C2×C4—42no—
621C2×C4—118no—
622C2×C4—224no—
623C2×C4—224no—
624C2×C4—224no—
625C2×C4—224no—
626C2×C4—224no—
627C2×C4—224no—
628C2×C4—224no—
629C2×C4—224no—
630C2×C4—224no—
631C2×C4—222no—
632C2×C4—222no—
633C2×C4—224no—
634C2×C4—224no—
635C2×C4—442no—
636C2×C4—442no—
637C2×C4—442no—
638C2×C4—442no—
639C2×C4—441no—
640C2×C4—442no—
641C2×C4—442no—
642C2×C4—441no—
643C2×C4—441no—
644C2×C4—441no—
645C2×C4—442no—
646C2×C4—442no—
647C2×C4—441no—
648C2×C4—442no—
649C2×C4—441no—
650C2×C4—441no—
651C2×C4—441no—
652C2×C4—442no—
653C2×C4—441no—
654C2×C4—441no—
655C2×C4C4×C22⋊D1118yes—
656C2×C4#6700614yes—
657C22—28no—
658C22—24no—
659C22—28no—
660C22—24no—
661C22—28no—
662C22—24no—
663C22—24no—
664C22—24no—
665C22—28no—
666C22—24no—
667C22#1062258518yescomplemented
668C22C2×#6694011yescharacteristic
669C22C2×#6694211yescharacteristic
670C22C2×C4⋊C4×D1111yescharacteristic
671C22#1062303512yes—
672C22#1062303812yes—
673C22C2×#6694911yescharacteristic
674C22#1062304212yes—
675C22#1062304212yes—
676C22#1062304412yes—
677C22#1062304612yes—
678C22C2×C4×C22⋊D1112yes—
679C22C2×C4×C22⋊D1111yescharacteristic
680C22#1062332212yes—
681C22#1062332211yescharacteristic
682C22D4×C22⋊D1112yes—
683C22C2×#6699211yescharacteristic
684C22#1062333511yescharacteristic
685C22#1062333712yes—
686C22C2×#6699711yescharacteristic
687C22Q8×C22⋊D1112yes—
688C22Q8×C22⋊D1112yes—
689C22#1062334711yescharacteristic
690C22C2×#6700611yescharacteristic
691C4—28no—
692C4—24no—
693C4—44no—
694C4—42no—
695C4—228no—
696C4—442no—
697C4—444no—
698C4—442no—
699C4—881no—
700C4—881no—
701C2—28no—
702C2C2×#1062258511yescharacteristic
703C2C4×#6700611yescharacteristic
704C2#1307128511yescharacteristic
705C2C4⋊C4×C22⋊D1112yes—
706C2#1307162112yes—
707C2#1307199011yescharacteristic
708C2#1307202311yescharacteristic
709C2#1307225611yescharacteristic
710C2#1307242512yes—
711C2#1307275112yes—
712C2#1307399611yescharacteristic
subgroupG/H
center, FrattiniC24C23×D11
commutatorC23×C11C23×C4
FittingC23×C11×C4⋊C4C2
socle, cosocleC24×C11C24
prime radicalC25×C11C23
hypercenterC23×C4⋊C4D11
hypocenterC11#14043
LCSG ▷ C23×C11 ▷ C11
UCSC1 ◁ C24 ◁ C23×C4⋊C4

Complements

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

NH ≅ G/Ntype
1. C2×#10622585C2semidirect
6. #13066879C2semidirect
7. #13066866C2semidirect
8. #13066848C2semidirect
30. #10622823C4semidirect
96. C2×Dic11⋊C4C2×C4semidirect
108. C11⋊#95C2×C4semidirect
200. C22⋊Dic11C4⋊C4semidirect
311. C2×Dic11C2×C4⋊C4semidirect
352. C22×C11#389semidirect
561. C11#14043semidirect
667. C22#10622585semidirect

Maximal subgroups

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

subgroupindex
C2×#106225852
C2×#106228232
C2×C4×C22⋊Dic112
#130668792
#130668662
#130668482
#130668392
C23×C11×C4⋊C42
#1404311