Finite Group Databasebeta

← #29601177

Subgroups — #29601177

Order 15616.

2782 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
1C23×C4×Dic61C211yesmaximal, characteristic
2C2×#16839635C211yesmaximal, characteristic
3C2×#16839634C211yesmaximal, characteristic
4C2×#16839613C212yesmaximal, complemented
5C2×C22⋊C4×Dic61C211yesmaximal, characteristic
6C2×C22⋊C4×Dic61C211yesmaximal, characteristic
7#21444054C212yesmaximal, complemented
8#21444050C212yesmaximal, complemented
9#21444041C211yesmaximal, characteristic
10#95×Dic61C212yesmaximal, complemented
11C61×C22⋊#95C211yesmaximal, characteristic
12C24×Dic61C2211yescharacteristic
13C24×Dic61C2211yescharacteristic
14C22×#11758196C2212yes—
15C22×#11758196C2212yes—
16C22×C22⋊Dic61C2211yescharacteristic
17C22×C22⋊Dic61C2211yescharacteristic
18C22×C4×Dic61—28no—
19C22×C4×Dic61—24no—
20C22×C4×Dic61C2212yes—
21C22×C4×Dic61C2211yescharacteristic
22C22×C4×Dic61C2211yescharacteristic
23C22×C4×Dic61C2212yes—
24C22×C4×Dic61C2212yes—
25#16839635C418yescomplemented
26#16839634C418yescomplemented
27#16839613—28no—
28C22⋊C4×Dic61—24no—
29C22⋊C4×Dic61C418yescomplemented
30C2×#14519684C2212yes—
31C2×#14519684C2212yes—
32C2×#14519684C2211yescharacteristic
33C2×#14519684C2211yescharacteristic
34C2×#14519684C2212yes—
35C2×#14519684C2212yes—
36C2×#14519684C2212yes—
37C24×C4×C61C2211yescharacteristic
38C22×C22⋊C4×C61C2211yescharacteristic
39C22×C22⋊C4×C61C2211yescharacteristic
40C2×#95×C61C2212yes—
41C2×#95×C61C2212yes—
42C23×Dic61—22no—
43C23×Dic61—22no—
44C23×Dic61—24no—
45C23×Dic61—24no—
46C23×Dic61—24no—
47C23×Dic61—24no—
48C23×Dic61C2×C414yes—
49C23×Dic61C2×C414yes—
50C23×Dic61D414yes—
51C23×Dic61Q814yes—
52C23×Dic61C2311yescharacteristic
53C23×Dic61C2311yescharacteristic
54C23×Dic61C2312yes—
55C23×Dic61C2311yescharacteristic
56C23×Dic61C2312yes—
57C23×Dic61C2311yescharacteristic
58C2×#11758196—24no—
59C2×#11758196—24no—
60C2×#11758196—24no—
61C2×#11758196—24no—
62C2×#11758196C2×C418yescomplemented
63C2×#11758196C2×C418yescomplemented
64C2×C22⋊Dic61—22no—
65C2×C22⋊Dic61—22no—
66C2×C22⋊Dic61C2×C414yes—
67C2×C22⋊Dic61C2×C414yes—
68C2×C22⋊Dic61C2×C414yes—
69C2×C22⋊Dic61C2×C414yes—
70C2×C4×Dic61—232no—
71C2×C4×Dic61—24no—
72C2×C4×Dic61—24no—
73C2×C4×Dic61—24no—
74C2×C4×Dic61—24no—
75C2×C4×Dic61—24no—
76C2×C4×Dic61—24no—
77C2×C4×Dic61—24no—
78C2×C4×Dic61—22no—
79C2×C4×Dic61—22no—
80C2×C4×Dic61—24no—
81C2×C4×Dic61—24no—
82C2×C4×Dic61C2×C418yescomplemented
83C2×C4×Dic61D418yes—
84#14519684—22no—
85#14519684—22no—
86#14519684—24no—
87#14519684—24no—
88#14519684C2×C418yescomplemented
89#14519684C2×C418yescomplemented
90#14519684C2×C418yescomplemented
91C25×C61C2311yescharacteristic
92C23×C4×C61—22no—
93C23×C4×C61—22no—
94C23×C4×C61—24no—
95C23×C4×C61—24no—
96C23×C4×C61C2×C414yes—
97C23×C4×C61C2311yescharacteristic
98C23×C4×C61C2312yes—
99C23×C4×C61C2311yescharacteristic
100C23×C4×C61C2312yes—
101C2×C22⋊C4×C61—22no—
102C2×C22⋊C4×C61—22no—
103C2×C22⋊C4×C61—22no—
104C2×C22⋊C4×C61—22no—
105C2×C22⋊C4×C61C2×C414yes—
106C2×C22⋊C4×C61C2×C414yes—
107#95×C61—24no—
108#95×C61—24no—
109C24×C61—22no—
110C24×C61—22no—
111C24×C61—22no—
112C24×C61—22no—
113C24×C61C22×C412yes—
114C24×C61C22×C412yes—
115C24×C61C22×C412yes—
116C24×C61C2×D412yes—
117C24×C61C2×Q812yes—
118C24×C61#4112yes—
119C24×C61#4112yes—
120C24×C61C2411yescharacteristic
121C22×C4×C61—216no—
122C22×C4×C61—28no—
123C22×C4×C61—28no—
124C22×C4×C61—28no—
125C22×C4×C61—22no—
126C22×C4×C61—22no—
127C22×C4×C61—22no—
128C22×C4×C61—22no—
129C22×C4×C61—216no—
130C22×C4×C61—22no—
131C22×C4×C61—22no—
132C22×C4×C61—21no—
133C22×C4×C61—21no—
134C22×C4×C61—22no—
135C22×C4×C61—22no—
136C22×C4×C61—22no—
137C22×C4×C61—22no—
138C22×C4×C61—21no—
139C22×C4×C61—21no—
140C22×C4×C61—22no—
141C22×C4×C61—22no—
142C22×C4×C61—22no—
143C22×C4×C61—22no—
144C22×C4×C61C22×C412yes—
145C22×C4×C61C22×C414yes—
146C22×C4×C61C22×C412yes—
147C22×C4×C61C22×C414yes—
148C22×C4×C61C2×D414yes—
149C22×C4×C61#4114yes—
150C22×Dic61—216no—
151C22×Dic61—28no—
152C22×Dic61—28no—
153C22×Dic61—28no—
154C22×Dic61—22no—
155C22×Dic61—22no—
156C22×Dic61—22no—
157C22×Dic61—22no—
158C22×Dic61—22no—
159C22×Dic61—22no—
160C22×Dic61—22no—
161C22×Dic61—22no—
162C22×Dic61—22no—
163C22×Dic61—22no—
164C22×Dic61—216no—
165C22×Dic61—216no—
166C22×Dic61—28no—
167C22×Dic61—216no—
168C22×Dic61—28no—
169C22×Dic61—21no—
170C22×Dic61—21no—
171C22×Dic61—22no—
172C22×Dic61—22no—
173C22×Dic61—22no—
174C22×Dic61—21no—
175C22×Dic61—21no—
176C22×Dic61—22no—
177C22×Dic61C4⋊C4116yescomplemented
178C22×Dic61C22×C412yes—
179C22×Dic61C22×C412yes—
180C22×Dic61C22×C414yes—
181C22×Dic61C22×C414yes—
182C22×Dic61C22×C414yes—
183C22×Dic61C22×C412yes—
184C22×Dic61C22×C414yes—
185C22×Dic61C22×C412yes—
186C22×Dic61C2×D412yes—
187C22×Dic61C2×D414yes—
188C22×Dic61C2×D412yes—
189C22×Dic61C2×D414yes—
190C22×Dic61C2×Q812yes—
191C22×Dic61C2×Q812yes—
192C22×Dic61#4114yes—
193C22×Dic61#4114yes—
194C22⋊C4×C61—28no—
195C22⋊C4×C61—28no—
196C22⋊Dic61—28no—
197C22⋊Dic61C42116yescomplemented
198#11758196—216no—
199#11758196—216no—
200C4×Dic61—216no—
201C4×Dic61—216no—
202C4×Dic61—216no—
203C4×Dic61—44no—
204C4×Dic61—44no—
205C23×C61—24no—
206C23×C61—24no—
207C23×C61—24no—
208C23×C61—24no—
209C23×C61—24no—
210C23×C61—24no—
211C23×C61—22no—
212C23×C61—24no—
213C23×C61—22no—
214C23×C61—22no—
215C23×C61—24no—
216C23×C61—22no—
217C23×C61—24no—
218C23×C61—24no—
219C23×C61—24no—
220C23×C61—24no—
221C23×C61C2×C4214yes—
222C23×C61C2×C4⋊C414yes—
223C23×C61#11714yes—
224C23×C61C4×D414yes—
225C23×C61C4×D414yes—
226C23×C61C4×Q814yes—
227C23×C61C4×Q814yes—
228C23×C61C23×C411yescharacteristic
229C23×C61C23×C411yescharacteristic
230C23×C61C23×C411yescharacteristic
231C23×C61C22×D411yescharacteristic
232C23×C61C22×D412yes—
233C23×C61C22×Q811yescharacteristic
234C23×C61C2×#4111yescharacteristic
235C23×C61C2×#4111yescharacteristic
236C23×C61C2×#4112yes—
237C23×C61C2×#4112yes—
238C23×C61C2×#4112yes—
239C2×C4×C61—232no—
240C2×C4×C61—24no—
241C2×C4×C61—24no—
242C2×C4×C61—24no—
243C2×C4×C61—24no—
244C2×C4×C61—24no—
245C2×C4×C61—24no—
246C2×C4×C61—24no—
247C2×C4×C61—24no—
248C2×C4×C61—24no—
249C2×C4×C61—22no—
250C2×C4×C61—22no—
251C2×C4×C61—24no—
252C2×C4×C61—24no—
253C2×C4×C61—41no—
254C2×C4×C61—41no—
255C2×C4×C61—42no—
256C2×C4×C61—42no—
257C2×C4×C61—41no—
258C2×C4×C61—42no—
259C2×C4×C61—41no—
260C2×C4×C61—42no—
261C2×C4×C61—42no—
262C2×C4×C61—42no—
263C2×C4×C61C4×D418yes—
264C2×Dic61—232no—
265C2×Dic61—24no—
266C2×Dic61—24no—
267C2×Dic61—24no—
268C2×Dic61—24no—
269C2×Dic61—24no—
270C2×Dic61—24no—
271C2×Dic61—24no—
272C2×Dic61—24no—
273C2×Dic61—24no—
274C2×Dic61—22no—
275C2×Dic61—24no—
276C2×Dic61—24no—
277C2×Dic61—22no—
278C2×Dic61—24no—
279C2×Dic61—24no—
280C2×Dic61—24no—
281C2×Dic61—232no—
282C2×Dic61—24no—
283C2×Dic61—22no—
284C2×Dic61—22no—
285C2×Dic61—24no—
286C2×Dic61—41no—
287C2×Dic61—41no—
288C2×Dic61—42no—
289C2×Dic61—41no—
290C2×Dic61—41no—
291C2×Dic61—42no—
292C2×Dic61C2×C4218yescomplemented
293C2×Dic61C2×C4⋊C414yes—
294C2×Dic61C2×C4⋊C414yes—
295C2×Dic61C4×D418yes—
296C2×Dic61C4×D418yes—
297C2×Dic61#12014yes—
298C2×Dic61C22⋊Q818yes—
299C2×Dic61#12314yes—
300C4×#385—611nomaximal, Sylow
301C22×C61—28no—
302C22×C61—24no—
303C22×C61—28no—
304C22×C61—24no—
305C22×C61—24no—
306C22×C61—24no—
307C22×C61—24no—
308C22×C61—24no—
309C22×C61—28no—
310C22×C61—28no—
311C22×C61C4×C4⋊C418yescomplemented
312C22×C61C22×C4211yescharacteristic
313C22×C61C22×C4⋊C411yescharacteristic
314C22×C61C2×#11711yescharacteristic
315C22×C61C2×C4×D412yes—
316C22×C61C2×C4×D412yes—
317C22×C61C2×C4×D411yescharacteristic
318C22×C61C2×C4×D411yescharacteristic
319C22×C61C2×C4×D412yes—
320C22×C61C2×C4×Q811yescharacteristic
321C22×C61C2×C4×Q811yescharacteristic
322C22×C61C4×#4112yes—
323C22×C61C4×#4112yes—
324C22×C61C4×#4112yes—
325C22×C61C2×#12011yescharacteristic
326C22×C61C2×C22⋊Q812yes—
327C22×C61C2×#12311yescharacteristic
328C22×C61#52512yes—
329C22×C61#52511yescharacteristic
330C22×C61#52511yescharacteristic
331C22×C61#52512yes—
332C22×C61#52912yes—
333C22×C61#52912yes—
334C22×C61#53312yes—
335C4×C61—28no—
336C4×C61—44no—
337C4×C61—42no—
338C4×C61—42no—
339Dic61—28no—
340Dic61—24no—
341Dic61—28no—
342Dic61—42no—
343Dic61—42no—
344Dic61#38518yescomplemented
345C23×C42—611no—
346C2×#385—611no—
347C2×#385—611no—
348C2×C4×C4⋊C4—612no—
349C2×C4×C22⋊C4—611no—
350C2×C4×C22⋊C4—611no—
351#1436—612no—
352#1436—612no—
353C22⋊#95—611no—
354C22⋊#95D6111yescharacteristic
355C4×#95—612no—
356C2×C61—28no—
357C2×C61C2×C4×C4⋊C411yescharacteristic
358C2×C61C42×D412yes—
359C2×C61C2×#38511yescharacteristic
360C2×C61#229012yes—
361C2×C61#229611yescharacteristic
362C2×C61C4×#12011yescharacteristic
363C2×C61C4×#12011yescharacteristic
364C2×C61C4×#12311yescharacteristic
365C2×C61C4×#12311yescharacteristic
366C2×C61C4×C22⋊Q812yes—
367C2×C61C4×C22⋊Q812yes—
368C24×C4—611no—
369C24×C4—611no—
370C24×C4C2×D6111yescharacteristic
371C22×C4⋊C4—612no—
372C22×C4⋊C4—612no—
373C22×C22⋊C4—611no—
374C22×C22⋊C4—611no—
375C22×C22⋊C4C2×D6111yescharacteristic
376C22×C22⋊C4C2×D6111yescharacteristic
377C22×C42—612no—
378C22×C42—612no—
379C22×C42—612no—
380C22×C42—611no—
381C22×C42—611no—
382C22×C42—1228no—
383C22×C42—1224no—
384#385—618no—
385#385—618no—
386C4×C4⋊C4—1228no—
387C4×C22⋊C4—618no—
388C4×C22⋊C4—1224no—
389C2×#95—612no—
390C2×#95—612no—
391C2×#95—612no—
392C2×#95—612no—
393C2×#95—612no—
394C2×#95—611no—
395C2×#95—611no—
396C2×#95C2×D6112yes—
397C2×#95C2×D6112yes—
398C61C4×#38511yescharacteristic, complemented, Sylow
399C25C22×D6111yescharacteristic
400C23×C4—22no—
401C23×C4—22no—
402C23×C4—24no—
403C23×C4—24no—
404C23×C4—611no—
405C23×C4—614no—
406C23×C4—614no—
407C23×C4—614no—
408C23×C4—612no—
409C23×C4—612no—
410C23×C4—611no—
411C23×C4—614no—
412C23×C4—611no—
413C23×C4—611no—
414C23×C4—1224no—
415C23×C4—1224no—
416C23×C4—1224no—
417C23×C4—1224no—
418C23×C4—1222no—
419C23×C4—1222no—
420C23×C4C4×D6114yes—
421C23×C4C22×D6111yescharacteristic
422C23×C4C22×D6112yes—
423C23×C4C22×D6111yescharacteristic
424C23×C4C22×D6112yes—
425C2×C4⋊C4—618no—
426C2×C4⋊C4—618no—
427C2×C4⋊C4—1224no—
428C2×C4⋊C4—1224no—
429C2×C4⋊C4—1224no—
430C2×C4⋊C4—1224no—
431C2×C22⋊C4—22no—
432C2×C22⋊C4—22no—
433C2×C22⋊C4—22no—
434C2×C22⋊C4—22no—
435C2×C22⋊C4—614no—
436C2×C22⋊C4—614no—
437C2×C22⋊C4—614no—
438C2×C22⋊C4—614no—
439C2×C22⋊C4—1222no—
440C2×C22⋊C4—1222no—
441C2×C22⋊C4C4×D6114yes—
442C2×C22⋊C4C4×D6114yes—
443C2×C42—618no—
444C2×C42—618no—
445C2×C42—1224no—
446C2×C42—1224no—
447C2×C42—1224no—
448C2×C42—1224no—
449C2×C42—1224no—
450C2×C42—1224no—
451C2×C42—12232no—
452C2×C42—1224no—
453C2×C42—1222no—
454C2×C42—1222no—
455C2×C42—1224no—
456C2×C42—1224no—
457#95—24no—
458#95—24no—
459#95—618no—
460#95—618no—
461#95—618no—
462#95—1222no—
463#95—1222no—
464#95—1224no—
465#95—1224no—
466C24—22no—
467C24—22no—
468C24—22no—
469C24—22no—
470C24C2×C4×D6112yes—
471C24C2×C4×D6112yes—
472C24C2×C4×D6112yes—
473C24D4×D6112yes—
474C24#1175822412yes—
475C24#1175822412yes—
476C24Q8×D6112yes—
477C24C23×D6111yescharacteristic
478C22×C4—28no—
479C22×C4—216no—
480C22×C4—28no—
481C22×C4—22no—
482C22×C4—22no—
483C22×C4—22no—
484C22×C4—22no—
485C22×C4—28no—
486C22×C4—216no—
487C22×C4—22no—
488C22×C4—22no—
489C22×C4—21no—
490C22×C4—21no—
491C22×C4—22no—
492C22×C4—22no—
493C22×C4—22no—
494C22×C4—22no—
495C22×C4—22no—
496C22×C4—22no—
497C22×C4—22no—
498C22×C4—22no—
499C22×C4—21no—
500C22×C4—21no—
501C22×C4—612no—
502C22×C4—614no—
503C22×C4—612no—
504C22×C4—612no—
505C22×C4—614no—
506C22×C4—612no—
507C22×C4—614no—
508C22×C4—614no—
509C22×C4—614no—
510C22×C4—614no—
511C22×C4—612no—
512C22×C4—614no—
513C22×C4—612no—
514C22×C4—614no—
515C22×C4—6116no—
516C22×C4—612no—
517C22×C4—612no—
518C22×C4—1228no—
519C22×C4—12216no—
520C22×C4—12216no—
521C22×C4—1228no—
522C22×C4—12216no—
523C22×C4—1228no—
524C22×C4—1228no—
525C22×C4—12216no—
526C22×C4—1222no—
527C22×C4—1222no—
528C22×C4—1222no—
529C22×C4—1222no—
530C22×C4—1222no—
531C22×C4—1222no—
532C22×C4—1222no—
533C22×C4—1222no—
534C22×C4—1222no—
535C22×C4—1222no—
536C22×C4—1228no—
537C22×C4—1221no—
538C22×C4—1221no—
539C22×C4—1222no—
540C22×C4—1222no—
541C22×C4—1222no—
542C22×C4—1221no—
543C22×C4—1221no—
544C22×C4—1222no—
545C22×C4C2×C4×D6112yes—
546C22×C4C2×C4×D6114yes—
547C22×C4C2×C4×D6112yes—
548C22×C4C2×C4×D6114yes—
549C22×C4D4×D6114yes—
550C22×C4#1175822414yes—
551C4⋊C4—12216no—
552C4⋊C4—12216no—
553C22⋊C4—28no—
554C22⋊C4—28no—
555C22⋊C4—6116no—
556C22⋊C4—1228no—
557C42—12216no—
558C42—12216no—
559C42—12216no—
560C42—2444no—
561C42—2444no—
562C23—24no—
563C23—24no—
564C23—24no—
565C23—24no—
566C23—24no—
567C23—24no—
568C23—22no—
569C23—24no—
570C23—22no—
571C23—22no—
572C23—24no—
573C23—22no—
574C23—24no—
575C23—24no—
576C23—24no—
577C23—24no—
578C23C42×D6114yes—
579C23C4⋊C4×D6114yes—
580C23#1451973314yes—
581C23#1451973714yes—
582C23#1451973714yes—
583C23#1451974214yes—
584C23#1451974214yes—
585C23C22×C4×D6111yescharacteristic
586C23C22×C4×D6111yescharacteristic
587C23C22×C4×D6111yescharacteristic
588C23C2×D4×D6111yescharacteristic
589C23C2×D4×D6112yes—
590C23C2×Q8×D6111yescharacteristic
591C23#41×D6112yes—
592C23#41×D6112yes—
593C23C2×#1175822411yescharacteristic
594C23C2×#1175822411yescharacteristic
595C23C2×#1175822412yes—
596C2×C4—232no—
597C2×C4—24no—
598C2×C4—24no—
599C2×C4—24no—
600C2×C4—24no—
601C2×C4—24no—
602C2×C4—24no—
603C2×C4—24no—
604C2×C4—24no—
605C2×C4—24no—
606C2×C4—22no—
607C2×C4—22no—
608C2×C4—24no—
609C2×C4—24no—
610C2×C4—41no—
611C2×C4—41no—
612C2×C4—42no—
613C2×C4—41no—
614C2×C4—41no—
615C2×C4—42no—
616C2×C4—42no—
617C2×C4—42no—
618C2×C4—42no—
619C2×C4—42no—
620C2×C4—614no—
621C2×C4—618no—
622C2×C4—614no—
623C2×C4—618no—
624C2×C4—614no—
625C2×C4—618no—
626C2×C4—614no—
627C2×C4—618no—
628C2×C4—12232no—
629C2×C4—12232no—
630C2×C4—1224no—
631C2×C4—1224no—
632C2×C4—1224no—
633C2×C4—1224no—
634C2×C4—1224no—
635C2×C4—1224no—
636C2×C4—1224no—
637C2×C4—1224no—
638C2×C4—1224no—
639C2×C4—1222no—
640C2×C4—1224no—
641C2×C4—1224no—
642C2×C4—1222no—
643C2×C4—1224no—
644C2×C4—1224no—
645C2×C4—1224no—
646C2×C4—1222no—
647C2×C4—1222no—
648C2×C4—1224no—
649C2×C4—1224no—
650C2×C4—2441no—
651C2×C4—2441no—
652C2×C4—2442no—
653C2×C4—2441no—
654C2×C4—2441no—
655C2×C4—2442no—
656C2×C4#1451973718yes—
657C22—24no—
658C22—28no—
659C22—24no—
660C22—24no—
661C22—24no—
662C22—24no—
663C22—24no—
664C22—28no—
665C22—28no—
666C22—28no—
667C22#1683961318yescomplemented
668C22C2×C42×D6111yescharacteristic
669C22C2×C4⋊C4×D6111yescharacteristic
670C22C2×#1451973311yescharacteristic
671C22C4×D4×D6112yes—
672C22C4×D4×D6112yes—
673C22C2×#1451973711yescharacteristic
674C22C2×#1451973712yes—
675C22C2×#1451973711yescharacteristic
676C22C2×#1451974211yescharacteristic
677C22C2×#1451974211yescharacteristic
678C22C4×#1175822412yes—
679C22C4×#1175822412yes—
680C22#1684023012yes—
681C22#120×D6111yescharacteristic
682C22C22⋊Q8×D6112yes—
683C22#123×D6111yescharacteristic
684C22#1684026812yes—
685C22#1684026811yescharacteristic
686C22#1684027011yescharacteristic
687C22#1684027212yes—
688C22#1684028912yes—
689C22#1684029312yes—
690C22#1684031412yes—
691C4—28no—
692C4—44no—
693C4—42no—
694C4—42no—
695C4—618no—
696C4—1224no—
697C4—1228no—
698C4—1228no—
699C4—2442no—
700C4—2442no—
701C2—28no—
702C2C2×#1683961311yescharacteristic
703C2C4×#1451973712yes—
704C2#385×D6111yescharacteristic
705C2#2144825912yes—
706C2#2144829811yescharacteristic
707C2#2144831811yescharacteristic
708C2#2144832411yescharacteristic
709C2#2144833611yescharacteristic
710C2#2144834411yescharacteristic
711C2#2144834712yes—
712C2#2144835112yes—
subgroupG/H
center, FrattiniC24C23×D61
commutatorC22×C61C22×C42
FittingC61×C22⋊#95C2
socle, cosocleC24×C61C24
prime radicalC25×C61C23
hypercenterC22⋊#95D61
hypocenterC61C4×#385
LCSG ▷ C22×C61 ▷ C61
UCSC1 ◁ C24 ◁ C22⋊#95

Complements

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

NH ≅ G/Ntype
4. C2×#16839613C2semidirect
7. #21444054C2semidirect
8. #21444050C2semidirect
10. #95×Dic61C2semidirect
25. #16839635C4semidirect
26. #16839634C4semidirect
29. C22⋊C4×Dic61C4semidirect
62. C2×#11758196C2×C4semidirect
63. C2×#11758196C2×C4semidirect
82. C2×C4×Dic61C2×C4semidirect
88. #14519684C2×C4semidirect
89. #14519684C2×C4semidirect
90. #14519684C2×C4semidirect
177. C22×Dic61C4⋊C4semidirect
197. C22⋊Dic61C42semidirect
292. C2×Dic61C2×C42semidirect
311. C22×C61C4×C4⋊C4semidirect
344. Dic61#385semidirect
398. C61C4×#385semidirect
667. C22#16839613semidirect

Maximal subgroups

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

subgroupindex
C23×C4×Dic612
C2×#168396352
C2×#168396342
C2×#168396132
C2×C22⋊C4×Dic612
#214440542
#214440502
#214440412
#95×Dic612
C61×C22⋊#952
C4×#38561