Finite Group Databasebeta

← #29601418

Subgroups — #29601418

Order 15616.

2398 conjugacy classes of subgroups.

The subgroup lattice has 724 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×#14519733C211yesmaximal, characteristic
2C2×#16839623C211yesmaximal, characteristic
3C2×C22⋊C4×Dic61C211yesmaximal, characteristic
4C22×#14519684C211yesmaximal, characteristic
5#21444054C212yesmaximal, complemented
6#21444052C212yesmaximal, complemented
7#21444043C212yesmaximal, complemented
8#21444042C211yesmaximal, characteristic
9#21444041C211yesmaximal, characteristic
10C4×#14519684C212yesmaximal, complemented
11C2×C4×C22⋊C4×C61C211yesmaximal, characteristic
12C24×Dic61C2211yescharacteristic
13C24×Dic61C2211yescharacteristic
14C2×#14519733—24no—
15C2×#14519733—24no—
16C2×#14519733C418yescomplemented
17C22×#11758196C2212yes—
18C22×C22⋊Dic61C2211yescharacteristic
19C22×C22⋊Dic61C2211yescharacteristic
20C22×C4×Dic61C2212yes—
21C22×C4×Dic61C2212yes—
22#16839623C418yescomplemented
23C22⋊C4×Dic61—24no—
24C2×#14519684C418yescomplemented
25C2×#14519684C2212yes—
26C2×#14519684C2212yes—
27C2×#14519684C2212yes—
28C2×#14519684C2212yes—
29C2×#14519684C2212yes—
30C2×#14519684C2211yescharacteristic
31C2×#14519684C2211yescharacteristic
32C2×#14519684C2211yescharacteristic
33C2×#14519684C2211yescharacteristic
34C2×#14519684C2212yes—
35C2×#14519684C2212yes—
36C24×C4×C61C2211yescharacteristic
37C22×C22⋊C4×C61C2211yescharacteristic
38C22×C22⋊C4×C61C2211yescharacteristic
39C22×C42×C61C2212yes—
40C4×C22⋊C4×C61—24no—
41C2×#95×C61C2212yes—
42C23×Dic61—22no—
43C23×Dic61—22no—
44C23×Dic61—22no—
45C23×Dic61—22no—
46C23×Dic61—22no—
47C23×Dic61—22no—
48C23×Dic61—24no—
49C23×Dic61—42no—
50C23×Dic61C2×C414yes—
51C23×Dic61C2×C414yes—
52C23×Dic61C2×C414yes—
53C23×Dic61C2×C414yes—
54C23×Dic61C2312yes—
55C23×Dic61C2312yes—
56C23×Dic61C2311yescharacteristic
57C23×Dic61C2311yescharacteristic
58C23×Dic61C2311yescharacteristic
59C23×Dic61C2311yescharacteristic
60#14519733—232no—
61C2×#11758196—24no—
62C2×#11758196—24no—
63C2×#11758196C2×C418yescomplemented
64C2×C22⋊Dic61—22no—
65C2×C22⋊Dic61—22no—
66C2×C22⋊Dic61—22no—
67C2×C22⋊Dic61—22no—
68C2×C22⋊Dic61C2×C414yes—
69C2×C22⋊Dic61C2×C414yes—
70C2×C4×Dic61—24no—
71C2×C4×Dic61—24no—
72C2×C4×Dic61—24no—
73C2×C4×Dic61—24no—
74C2×C4×Dic61—42no—
75C2×C4×Dic61C2×C418yescomplemented
76#14519684—24no—
77#14519684—24no—
78#14519684—24no—
79#14519684—42no—
80#14519684—42no—
81#14519684C2×C414yes—
82#14519684C2×C414yes—
83#14519684C2×C414yes—
84#14519684C2×C414yes—
85#14519684C2×C418yescomplemented
86#14519684C2×C418yescomplemented
87C25×C61C2311yescharacteristic
88C23×C4×C61—22no—
89C23×C4×C61—22no—
90C23×C4×C61—24no—
91C23×C4×C61—42no—
92C23×C4×C61C2×C414yes—
93C23×C4×C61C2311yescharacteristic
94C23×C4×C61C2312yes—
95C23×C4×C61C2312yes—
96C23×C4×C61C2311yescharacteristic
97C2×C22⋊C4×C61—22no—
98C2×C22⋊C4×C61—22no—
99C2×C22⋊C4×C61C2×C414yes—
100C2×C22⋊C4×C61C2×C414yes—
101C2×C22⋊C4×C61D414yes—
102C2×C22⋊C4×C61D414yes—
103C2×C42×C61—24no—
104C2×C42×C61—24no—
105C2×C42×C61—42no—
106#95×C61—24no—
107C24×C61—22no—
108C24×C61—22no—
109C24×C61—22no—
110C24×C61—22no—
111C24×C61C22×C412yes—
112C24×C61C22×C412yes—
113C24×C61C22×C412yes—
114C24×C61C2×D412yes—
115C24×C61C2×D412yes—
116C24×C61#4112yes—
117C24×C61#4112yes—
118C24×C61C2411yescharacteristic
119C22×C4×C61—21no—
120C22×C4×C61—22no—
121C22×C4×C61—21no—
122C22×C4×C61—22no—
123C22×C4×C61—22no—
124C22×C4×C61—22no—
125C22×C4×C61—22no—
126C22×C4×C61—28no—
127C22×C4×C61—21no—
128C22×C4×C61—22no—
129C22×C4×C61—22no—
130C22×C4×C61—22no—
131C22×C4×C61—22no—
132C22×C4×C61—21no—
133C22×C4×C61—22no—
134C22×C4×C61—22no—
135C22×C4×C61—22no—
136C22×C4×C61—22no—
137C22×C4×C61—28no—
138C22×C4×C61—44no—
139C22×C4×C61—48no—
140C22×C4×C61—48no—
141C22×C4×C61C22×C414yes—
142C22×C4×C61C22×C412yes—
143C22×C4×C61C22×C414yes—
144C22×C4×C61C22×C412yes—
145C22×C4×C61C2×D414yes—
146C22×C4×C61C2×D414yes—
147C22×C4×C61#4114yes—
148C22×Dic61—28no—
149C22×Dic61—28no—
150C22×Dic61—28no—
151C22×Dic61—28no—
152C22×Dic61—28no—
153C22×Dic61—28no—
154C22×Dic61—21no—
155C22×Dic61—21no—
156C22×Dic61—21no—
157C22×Dic61—21no—
158C22×Dic61—21no—
159C22×Dic61—21no—
160C22×Dic61—21no—
161C22×Dic61—21no—
162C22×Dic61—21no—
163C22×Dic61—21no—
164C22×Dic61—22no—
165C22×Dic61—28no—
166C22×Dic61—21no—
167C22×Dic61—22no—
168C22×Dic61—22no—
169C22×Dic61—22no—
170C22×Dic61—22no—
171C22×Dic61—21no—
172C22×Dic61—22no—
173C22×Dic61—22no—
174C22×Dic61—22no—
175C22×Dic61—22no—
176C22×Dic61—22no—
177C22×Dic61—22no—
178C22×Dic61—22no—
179C22×Dic61—22no—
180C22×Dic61—22no—
181C22×Dic61—22no—
182C22×Dic61—28no—
183C22×Dic61—44no—
184C22×Dic61—48no—
185C22×Dic61—48no—
186C22×Dic61C42116yescomplemented
187C22×Dic61C22×C412yes—
188C22×Dic61C22×C414yes—
189C22×Dic61C22×C414yes—
190C22×Dic61C22×C412yes—
191C22×Dic61C22×C412yes—
192C22×Dic61C22×C412yes—
193C22×Dic61C22×C412yes—
194C22×Dic61C22×C412yes—
195C22×Dic61C22×C412yes—
196C22×Dic61C22×C412yes—
197C22×Dic61#4114yes—
198C22⋊C4×C61—28no—
199C22⋊C4×C61C22⋊C4116yes—
200C42×C61—48no—
201C22⋊Dic61—28no—
202C22⋊Dic61—28no—
203#11758196—216no—
204C4×Dic61—216no—
205C4×Dic61—48no—
206C23×C61—22no—
207C23×C61—22no—
208C23×C61—24no—
209C23×C61—24no—
210C23×C61—22no—
211C23×C61—22no—
212C23×C61—24no—
213C23×C61—24no—
214C23×C61—24no—
215C23×C61—24no—
216C23×C61—24no—
217C23×C61—24no—
218C23×C61—24no—
219C23×C61—24no—
220C23×C61—24no—
221C23×C61—24no—
222C23×C61C2×C4214yes—
223C23×C61C2×C22⋊C414yes—
224C23×C61#11714yes—
225C23×C61C4×D414yes—
226C23×C61C4×D414yes—
227C23×C61C4×D414yes—
228C23×C61C4×D414yes—
229C23×C61C23×C411yescharacteristic
230C23×C61C23×C411yescharacteristic
231C23×C61C23×C411yescharacteristic
232C23×C61C22×D411yescharacteristic
233C23×C61C22×D411yescharacteristic
234C23×C61C2×#4111yescharacteristic
235C23×C61C2×#4111yescharacteristic
236C23×C61C2×#4112yes—
237C23×C61C2×#4112yes—
238C23×C61H(5,𝔽2)12yes—
239C23×C612−1+412yes—
240C2×C4×C61—22no—
241C2×C4×C61—24no—
242C2×C4×C61—22no—
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—24no—
250C2×C4×C61—22no—
251C2×C4×C61—24no—
252C2×C4×C61—22no—
253C2×C4×C61—24no—
254C2×C4×C61—22no—
255C2×C4×C61—24no—
256C2×C4×C61—416no—
257C2×C4×C61—42no—
258C2×C4×C61—42no—
259C2×C4×C61—42no—
260C2×C4×C61—42no—
261C2×C4×C61—42no—
262C2×C4×C61—42no—
263C2×C4×C61C2×C22⋊C418yes—
264C2×C4×C61#11714yescomplemented
265C2×Dic61—22no—
266C2×Dic61—22no—
267C2×Dic61—22no—
268C2×Dic61—22no—
269C2×Dic61—22no—
270C2×Dic61—22no—
271C2×Dic61—22no—
272C2×Dic61—22no—
273C2×Dic61—22no—
274C2×Dic61—22no—
275C2×Dic61—22no—
276C2×Dic61—22no—
277C2×Dic61—22no—
278C2×Dic61—22no—
279C2×Dic61—24no—
280C2×Dic61—24no—
281C2×Dic61—232no—
282C2×Dic61—24no—
283C2×Dic61—22no—
284C2×Dic61—24no—
285C2×Dic61—22no—
286C2×Dic61—24no—
287C2×Dic61—24no—
288C2×Dic61—22no—
289C2×Dic61—24no—
290C2×Dic61—24no—
291C2×Dic61—416no—
292C2×Dic61—42no—
293C2×Dic61—42no—
294C2×Dic61—42no—
295C2×Dic61—42no—
296C2×Dic61—42no—
297C2×Dic61—42no—
298C2×Dic61—42no—
299C2×Dic61—42no—
300C2×Dic61—42no—
301C2×Dic61—42no—
302C2×Dic61C2×C4214yes—
303C2×Dic61C2×C4214yes—
304C2×Dic61#11714yescomplemented
305#13799—611nomaximal, Sylow
306C22×C61—28no—
307C22×C61—24no—
308C22×C61—24no—
309C22×C61—28no—
310C22×C61—24no—
311C22×C61—24no—
312C22×C61—28no—
313C22×C61—28no—
314C22×C61—24no—
315C22×C61—24no—
316C22×C61C4×C22⋊C418yes—
317C22×C61C22×C4211yescharacteristic
318C22×C61C22×C22⋊C411yescharacteristic
319C22×C61C2×#11711yescharacteristic
320C22×C61C2×#11711yescharacteristic
321C22×C61C2×#11711yescharacteristic
322C22×C61C2×C4×D411yescharacteristic
323C22×C61C2×C4×D411yescharacteristic
324C22×C61C2×C4×D411yescharacteristic
325C22×C61C2×C4×D411yescharacteristic
326C22×C61C4×#4112yes—
327C22×C61C4×#4112yes—
328C22×C61#51811yescharacteristic
329C22×C61#51911yescharacteristic
330C22×C61#52012yes—
331C22×C61#52012yes—
332C22×C61#54612yes—
333C22×C61#54612yes—
334C22×C61#54712yes—
335C22×C61#54712yes—
336C22×C61#55112yes—
337C22×C61#55112yes—
338C22×C61#55212yes—
339C22×C61#55212yes—
340C4×C61—28no—
341C4×C61—24no—
342C4×C61—42no—
343C4×C61—44no—
344Dic61—24no—
345Dic61—24no—
346Dic61—24no—
347Dic61—44no—
348Dic61—42no—
349Dic61—44no—
350C22×#117—611no—
351C2×#381—611no—
352C2×C4×C22⋊C4—611no—
353C2×C4×C22⋊C4D6111yescharacteristic
354C22×#95—611no—
355#1436—612no—
356#1436—612no—
357#1434—612no—
358C22⋊#95—611no—
359C22⋊#95—611no—
360C4×#95—612no—
361C2×C61—28no—
362C2×C61C2×C4×C22⋊C411yescharacteristic
363C2×C61C4×#11711yescharacteristic
364C2×C61#227411yescharacteristic
365C2×C61#233912yes—
366C2×C61#234211yescharacteristic
367C2×C61#234211yescharacteristic
368C2×C61#234312yes—
369C2×C61#234411yescharacteristic
370C2×C61#234411yescharacteristic
371C2×C61#235912yes—
372C2×C61#235912yes—
373C24×C4—611no—
374C24×C4—611no—
375C24×C4C2×D6111yescharacteristic
376C2×#117—618no—
377C2×#117—1224no—
378C2×#117—1224no—
379C22×C4⋊C4—612no—
380C22×C22⋊C4—611no—
381C22×C22⋊C4—611no—
382C22×C22⋊C4C2×D6111yescharacteristic
383C22×C22⋊C4C2×D6111yescharacteristic
384C22×C42—612no—
385C22×C42—612no—
386C22×C42C2×D6112yes—
387#381—618no—
388C4×C22⋊C4—24no—
389C4×C22⋊C4—1224no—
390C2×#95—618no—
391C2×#95—611no—
392C2×#95—612no—
393C2×#95—611no—
394C2×#95—611no—
395C2×#95—611no—
396C2×#95—612no—
397C2×#95—612no—
398C2×#95—612no—
399C2×#95—612no—
400C2×#95—612no—
401C2×#95—612no—
402C2×#95C2×D6112yes—
403C61#1379911yescharacteristic, complemented, Sylow
404C25C22×D6111yescharacteristic
405C23×C4—22no—
406C23×C4—22no—
407C23×C4—24no—
408C23×C4—42no—
409C23×C4—614no—
410C23×C4—614no—
411C23×C4—614no—
412C23×C4—611no—
413C23×C4—611no—
414C23×C4—611no—
415C23×C4—612no—
416C23×C4—612no—
417C23×C4—611no—
418C23×C4—614no—
419C23×C4—1224no—
420C23×C4—1222no—
421C23×C4—1222no—
422C23×C4—1222no—
423C23×C4—1222no—
424C23×C4—1222no—
425C23×C4—1222no—
426C23×C4—2442no—
427C23×C4C4×D6114yes—
428C23×C4C22×D6112yes—
429C23×C4C22×D6111yescharacteristic
430C23×C4C22×D6112yes—
431C23×C4C22×D6111yescharacteristic
432#117—12232no—
433C2×C4⋊C4—618no—
434C2×C4⋊C4—1224no—
435C2×C4⋊C4—1224no—
436C2×C22⋊C4—22no—
437C2×C22⋊C4—22no—
438C2×C22⋊C4—614no—
439C2×C22⋊C4—614no—
440C2×C22⋊C4—1222no—
441C2×C22⋊C4—1222no—
442C2×C22⋊C4—1222no—
443C2×C22⋊C4—1222no—
444C2×C22⋊C4C4×D6114yes—
445C2×C22⋊C4C4×D6114yes—
446C2×C22⋊C4D24414yes—
447C2×C22⋊C4C22⋊D6114yes—
448C2×C42—24no—
449C2×C42—24no—
450C2×C42—42no—
451C2×C42—618no—
452C2×C42—1224no—
453C2×C42—1224no—
454C2×C42—1224no—
455C2×C42—1224no—
456C2×C42—2442no—
457#95—24no—
458#95—614no—
459#95—614no—
460#95—614no—
461#95—614no—
462#95—618no—
463#95—618no—
464#95—1224no—
465#95—1224no—
466#95—1224no—
467#95—2442no—
468#95—2442no—
469C24—22no—
470C24—22no—
471C24—22no—
472C24—22no—
473C24C2×C4×D6112yes—
474C24C2×C4×D6112yes—
475C24C2×C4×D6112yes—
476C24C2×D24412yes—
477C24#1175822212yes—
478C24#1175822212yes—
479C24C2×C22⋊D6112yes—
480C24C23×D6111yescharacteristic
481C22×C4—21no—
482C22×C4—22no—
483C22×C4—22no—
484C22×C4—21no—
485C22×C4—22no—
486C22×C4—22no—
487C22×C4—22no—
488C22×C4—21no—
489C22×C4—22no—
490C22×C4—22no—
491C22×C4—22no—
492C22×C4—22no—
493C22×C4—22no—
494C22×C4—21no—
495C22×C4—22no—
496C22×C4—22no—
497C22×C4—22no—
498C22×C4—28no—
499C22×C4—28no—
500C22×C4—44no—
501C22×C4—48no—
502C22×C4—48no—
503C22×C4—612no—
504C22×C4—612no—
505C22×C4—612no—
506C22×C4—612no—
507C22×C4—612no—
508C22×C4—612no—
509C22×C4—612no—
510C22×C4—614no—
511C22×C4—6116no—
512C22×C4—614no—
513C22×C4—612no—
514C22×C4—614no—
515C22×C4—1228no—
516C22×C4—1221no—
517C22×C4—1221no—
518C22×C4—1221no—
519C22×C4—1221no—
520C22×C4—1221no—
521C22×C4—1221no—
522C22×C4—1221no—
523C22×C4—1221no—
524C22×C4—1221no—
525C22×C4—1221no—
526C22×C4—1222no—
527C22×C4—1228no—
528C22×C4—1228no—
529C22×C4—1228no—
530C22×C4—1228no—
531C22×C4—1228no—
532C22×C4—1228no—
533C22×C4—1222no—
534C22×C4—1221no—
535C22×C4—1222no—
536C22×C4—1222no—
537C22×C4—1222no—
538C22×C4—1222no—
539C22×C4—1222no—
540C22×C4—1222no—
541C22×C4—1222no—
542C22×C4—1222no—
543C22×C4—1221no—
544C22×C4—1222no—
545C22×C4—1222no—
546C22×C4—1222no—
547C22×C4—1222no—
548C22×C4—1222no—
549C22×C4—1228no—
550C22×C4—2444no—
551C22×C4—2448no—
552C22×C4—2448no—
553C22×C4C2×C4×D6114yes—
554C22×C4C2×C4×D6112yes—
555C22×C4C2×C4×D6114yes—
556C22×C4C2×C4×D6112yes—
557C22×C4C2×D24414yes—
558C22×C4#1175822414yes—
559C22×C4C2×C22⋊D6114yes—
560C4⋊C4—12216no—
561C22⋊C4—28no—
562C22⋊C4—1228no—
563C22⋊C4—1228no—
564C22⋊C4#11758198116yes—
565C42—48no—
566C42—12216no—
567C42—2448no—
568C23—24no—
569C23—22no—
570C23—22no—
571C23—24no—
572C23—24no—
573C23—22no—
574C23—22no—
575C23—24no—
576C23—24no—
577C23—24no—
578C23—24no—
579C23—24no—
580C23—24no—
581C23—24no—
582C23—24no—
583C23—24no—
584C23C42×D6114yes—
585C23C2×#1175819814yes—
586C23#1451973414yes—
587C23C4×C22⋊D6114yes—
588C23C4×C22⋊D6114yes—
589C23C4×D24414yes—
590C23C4×D24414yes—
591C23C22×C4×D6111yescharacteristic
592C23C22×C4×D6111yescharacteristic
593C23C22×C4×D6111yescharacteristic
594C23C22×C22⋊D6111yescharacteristic
595C23C22×D24411yescharacteristic
596C23#41×D6112yes—
597C23C2×#1175822412yes—
598C23C2×#1175822211yescharacteristic
599C23C2×#1175822211yescharacteristic
600C23#1451982212yes—
601C23#1451982412yes—
602C2×C4—22no—
603C2×C4—24no—
604C2×C4—22no—
605C2×C4—24no—
606C2×C4—24no—
607C2×C4—24no—
608C2×C4—24no—
609C2×C4—24no—
610C2×C4—24no—
611C2×C4—24no—
612C2×C4—22no—
613C2×C4—24no—
614C2×C4—22no—
615C2×C4—24no—
616C2×C4—22no—
617C2×C4—24no—
618C2×C4—416no—
619C2×C4—42no—
620C2×C4—42no—
621C2×C4—42no—
622C2×C4—42no—
623C2×C4—42no—
624C2×C4—42no—
625C2×C4—614no—
626C2×C4—614no—
627C2×C4—614no—
628C2×C4—1222no—
629C2×C4—1222no—
630C2×C4—1222no—
631C2×C4—1222no—
632C2×C4—1222no—
633C2×C4—1222no—
634C2×C4—1222no—
635C2×C4—1222no—
636C2×C4—1222no—
637C2×C4—1222no—
638C2×C4—1222no—
639C2×C4—1222no—
640C2×C4—1222no—
641C2×C4—1222no—
642C2×C4—12232no—
643C2×C4—1224no—
644C2×C4—1224no—
645C2×C4—1224no—
646C2×C4—1222no—
647C2×C4—1224no—
648C2×C4—1222no—
649C2×C4—1224no—
650C2×C4—1224no—
651C2×C4—1222no—
652C2×C4—1224no—
653C2×C4—1224no—
654C2×C4—24416no—
655C2×C4—2442no—
656C2×C4—2442no—
657C2×C4—2442no—
658C2×C4—2442no—
659C2×C4—2442no—
660C2×C4—2442no—
661C2×C4—2442no—
662C2×C4—2442no—
663C2×C4—2442no—
664C2×C4—2442no—
665C2×C4C2×#1175819818yes—
666C2×C4#1451973314yescomplemented
667C22—28no—
668C22—28no—
669C22—28no—
670C22—24no—
671C22—24no—
672C22—24no—
673C22—28no—
674C22—24no—
675C22—24no—
676C22—24no—
677C22C4×#1175819818yes—
678C22C2×C42×D6111yescharacteristic
679C22C22×#1175819811yescharacteristic
680C22#117×D6111yescharacteristic
681C22C2×#1451973311yescharacteristic
682C22C2×#1451973411yescharacteristic
683C22C2×C4×C22⋊D6111yescharacteristic
684C22C2×C4×C22⋊D6111yescharacteristic
685C22C2×C4×D24411yescharacteristic
686C22C2×C4×D24411yescharacteristic
687C22C4×#1175822412yes—
688C22C4×#1175822412yes—
689C22#1684023511yescharacteristic
690C22#1684023911yescharacteristic
691C22#1684024112yes—
692C22#1684024112yes—
693C22#1684040612yes—
694C22#1684040712yes—
695C22#1684041112yes—
696C22#1684041612yes—
697C22#1684043812yes—
698C22#1684044112yes—
699C22#1684044512yes—
700C22#1684045212yes—
701C4—28no—
702C4—24no—
703C4—44no—
704C4—42no—
705C4—1224no—
706C4—1224no—
707C4—1224no—
708C4—2444no—
709C4—2444no—
710C4—2442no—
711C2—28no—
712C2C2×C4×#1175819811yescharacteristic
713C2C4×#1451973311yescharacteristic
714C2#2144817411yescharacteristic
715C2#2144864412yes—
716C2#2144866411yescharacteristic
717C2#2144867111yescharacteristic
718C2#2144867312yes—
719C2#2144868611yescharacteristic
720C2#2144868911yescharacteristic
721C2#2144880512yes—
722C2#2144881312yes—
subgroupG/H
center, FrattiniC24C23×D61
commutatorC22×C61C22×C42
FittingC2×C4×C22⋊C4×C61C2
socle, cosocleC24×C61C24
prime radicalC25×C61C23
hypercenterC2×C4×C22⋊C4D61
hypocenterC61#13799
LCSG ▷ C22×C61 ▷ C61
UCSC1 ◁ C24 ◁ C2×C4×C22⋊C4

Complements

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

NH ≅ G/Ntype
5. #21444054C2semidirect
6. #21444052C2semidirect
7. #21444043C2semidirect
10. C4×#14519684C2semidirect
16. C2×#14519733C4semidirect
22. #16839623C4semidirect
24. C2×#14519684C4semidirect
63. C2×#11758196C2×C4semidirect
75. C2×C4×Dic61C2×C4semidirect
85. #14519684C2×C4semidirect
86. #14519684C2×C4semidirect
186. C22×Dic61C42semidirect
264. C2×C4×C61#117semidirect
304. C2×Dic61#117semidirect
403. C61#13799semidirect
666. C2×C4#14519733semidirect

Maximal subgroups

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

subgroupindex
C22×#145197332
C2×#168396232
C2×C22⋊C4×Dic612
C22×#145196842
#214440542
#214440522
#214440432
#214440422
#214440412
C4×#145196842
C2×C4×C22⋊C4×C612
#1379961