Finite Group Databasebeta

← #29601906

Subgroups — #29601906

Order 15616.

2590 conjugacy classes of subgroups.

The subgroup lattice has 758 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×D4×Dic61C211yesmaximal, characteristic
2C22×#14519733C211yesmaximal, characteristic, complemented
3C2×#16839620C212yesmaximal, complemented
4C2×#16839620C211yesmaximal, characteristic, complemented
5#21444066C211yesmaximal, characteristic, complemented
6#21444066C211yesmaximal, characteristic, complemented
7#21444060C211yesmaximal, characteristic
8#21444056C212yesmaximal, complemented
9#21444053C212yesmaximal, complemented
10#21444047C212yesmaximal, complemented
11C61×#1438C211yesmaximal, characteristic
12C24×Dic61C2211yescharacteristic
13C24×Dic61C2211yescharacteristic
14C2×D4×Dic61—24no—
15C2×D4×Dic61—24no—
16C2×D4×Dic61C418yescomplemented
17C2×#14519733—28no—
18C2×#14519733—24no—
19C22×C4⋊Dic61C2211yescharacteristic
20C22×#11758196C2212yes—
21C22×#11758196C2212yes—
22C22×C22⋊Dic61C2211yescharacteristic
23C22×C22⋊Dic61C2212yes—
24C22×C22⋊Dic61C2211yescharacteristic
25C22×C22⋊Dic61C2211yescharacteristic
26C22×C22⋊Dic61C2211yescharacteristic
27C22×C4×Dic61C2212yes—
28C22×C4×Dic61C2211yescharacteristic
29#16839620—28no—
30#16839620—24no—
31C2×#14519684C2212yes—
32C2×#14519684C2212yes—
33C2×#14519684C2212yes—
34C2×#14519684C2212yes—
35C2×#14519684C2212yes—
36C2×#14519684C2212yes—
37C23×D4×C61C2211yescharacteristic
38C22×C22⋊C4×C61C2211yescharacteristic
39C22×C22⋊C4×C61C2212yes—
40C22×C22⋊C4×C61C2211yescharacteristic
41C2×#95×C61C2212yes—
42C23×Dic61—24no—
43C23×Dic61—24no—
44C23×Dic61—22no—
45C23×Dic61—22no—
46C23×Dic61—24no—
47C23×Dic61—24no—
48C23×Dic61C2×C414yes—
49C23×Dic61C2×C414yes—
50C23×Dic61D414yes—
51C23×Dic61D414yes—
52C23×Dic61C2312yes—
53C23×Dic61C2311yescharacteristic
54C23×Dic61C2311yescharacteristic
55C23×Dic61C2312yes—
56C23×Dic61C2311yescharacteristic
57C23×Dic61C2311yescharacteristic
58D4×Dic61—232no—
59#14519733—232no—
60C2×C4⋊Dic61—22no—
61C2×C4⋊Dic61—22no—
62C2×C4⋊Dic61C2×C414yes—
63C2×#11758196—24no—
64C2×#11758196—24no—
65C2×#11758196—24no—
66C2×#11758196—24no—
67C2×#11758196—24no—
68C2×#11758196D418yescomplemented
69C2×C22⋊Dic61—22no—
70C2×C22⋊Dic61—22no—
71C2×C22⋊Dic61—22no—
72C2×C22⋊Dic61—24no—
73C2×C22⋊Dic61—22no—
74C2×C22⋊Dic61—22no—
75C2×C22⋊Dic61—22no—
76C2×C22⋊Dic61—24no—
77C2×C22⋊Dic61—24no—
78C2×C22⋊Dic61—42no—
79C2×C22⋊Dic61—42no—
80C2×C22⋊Dic61C2×C414yes—
81C2×C22⋊Dic61C2×C414yes—
82C2×C4×Dic61—24no—
83C2×C4×Dic61—24no—
84C2×C4×Dic61—24no—
85C2×C4×Dic61—22no—
86C2×C4×Dic61—22no—
87C2×C4×Dic61C2×C414yes—
88#14519684—24no—
89#14519684—24no—
90#14519684—24no—
91#14519684—24no—
92#14519684—42no—
93#14519684—42no—
94C25×C61C2311yescharacteristic
95C25×C61C2311yescharacteristic
96C22×D4×C61—22no—
97C22×D4×C61—22no—
98C22×D4×C61—24no—
99C22×D4×C61—24no—
100C22×D4×C61C2×C414yes—
101C23×C4×C61C2312yes—
102C23×C4×C61C2312yes—
103C23×C4×C61C2311yescharacteristic
104C2×C22⋊C4×C61—22no—
105C2×C22⋊C4×C61—24no—
106C2×C22⋊C4×C61—22no—
107C2×C22⋊C4×C61—24no—
108C2×C22⋊C4×C61—24no—
109C2×C22⋊C4×C61—42no—
110C2×C22⋊C4×C61—42no—
111#95×C61—24no—
112C24×C61—22no—
113C24×C61—22no—
114C24×C61—21no—
115C24×C61—21no—
116C24×C61—22no—
117C24×C61—22no—
118C24×C61—22no—
119C24×C61—22no—
120C24×C61—22no—
121C24×C61—22no—
122C24×C61—22no—
123C24×C61—22no—
124C24×C61—22no—
125C24×C61C22×C412yes—
126C24×C61C22×C412yes—
127C24×C61C2×D412yes—
128C24×C61C2×D412yes—
129C24×C61#4114yes—
130C24×C61C2411yescharacteristic
131C2×D4×C61—216no—
132C2×D4×C61—216no—
133C2×D4×C61—28no—
134C2×D4×C61—28no—
135C2×D4×C61—28no—
136C22×C4×C61—21no—
137C22×C4×C61—21no—
138C22×C4×C61—22no—
139C22×C4×C61—22no—
140C22×C4×C61—22no—
141C22×C4×C61—22no—
142C22×C4×C61—22no—
143C22×C4×C61—22no—
144C22×C4×C61—22no—
145C22×C4×C61—22no—
146C22×C4×C61—22no—
147C22×C4×C61—22no—
148C22×C4×C61—22no—
149C22×C4×C61—22no—
150C22×C4×C61—22no—
151C22×C4×C61—22no—
152C22×C4×C61C22×C412yes—
153C22×C4×C61C2×D414yes—
154C22×C4×C61#4114yes—
155C22×Dic61—22no—
156C22×Dic61—22no—
157C22×Dic61—216no—
158C22×Dic61—28no—
159C22×Dic61—216no—
160C22×Dic61—28no—
161C22×Dic61—22no—
162C22×Dic61—21no—
163C22×Dic61—21no—
164C22×Dic61—21no—
165C22×Dic61—21no—
166C22×Dic61—22no—
167C22×Dic61—22no—
168C22×Dic61—22no—
169C22×Dic61—22no—
170C22×Dic61—22no—
171C22×Dic61—22no—
172C22×Dic61—22no—
173C22×Dic61—22no—
174C22×Dic61—22no—
175C22×Dic61—28no—
176C22×Dic61—216no—
177C22×Dic61—22no—
178C22×Dic61—22no—
179C22×Dic61—22no—
180C22×Dic61—22no—
181C22×Dic61—22no—
182C22×Dic61—22no—
183C22×Dic61—22no—
184C22×Dic61—44no—
185C22×Dic61—48no—
186C22×Dic61—44no—
187C22×Dic61C22⋊C4116yescomplemented
188C22×Dic61C22×C412yes—
189C22×Dic61C22×C412yes—
190C22×Dic61C22×C412yes—
191C22×Dic61C22×C412yes—
192C22×Dic61C2×D414yes—
193C22×Dic61C2×D412yes—
194C22×Dic61C2×D412yes—
195C22×Dic61C2×D412yes—
196C22×Dic61C2×D412yes—
197C22×Dic61C2×D414yes—
198C22×Dic61#4114yes—
199C22⋊C4×C61—28no—
200C22⋊C4×C61—48no—
201C22⋊C4×C61—44no—
202C22⋊Dic61—28no—
203C22⋊Dic61—28no—
204C22⋊Dic61—28no—
205C22⋊Dic61—48no—
206C22⋊Dic61—44no—
207C4⋊Dic61—28no—
208#11758196—216no—
209#11758196—48no—
210C4×Dic61—216no—
211C4×Dic61—28no—
212C23×C61—22no—
213C23×C61—22no—
214C23×C61—22no—
215C23×C61—22no—
216C23×C61—24no—
217C23×C61—24no—
218C23×C61—24no—
219C23×C61—24no—
220C23×C61—22no—
221C23×C61—24no—
222C23×C61—22no—
223C23×C61—24no—
224C23×C61—24no—
225C23×C61—24no—
226C23×C61—24no—
227C23×C61—22no—
228C23×C61—22no—
229C23×C61—24no—
230C23×C61—24no—
231C23×C61—24no—
232C23×C61—24no—
233C23×C61—24no—
234C23×C61—41no—
235C23×C61—42no—
236C23×C61—41no—
237C23×C61—41no—
238C23×C61—41no—
239C23×C61—42no—
240C23×C61—42no—
241C23×C61—42no—
242C23×C61—42no—
243C23×C61—42no—
244C23×C61—42no—
245C23×C61—42no—
246C23×C61—42no—
247C23×C61—42no—
248C23×C61—42no—
249C23×C61—42no—
250C23×C61—42no—
251C23×C61—42no—
252C23×C61C2×C22⋊C414yes—
253C23×C61#11714yescomplemented
254C23×C61C23×C411yescharacteristic
255C23×C61C22×D411yescharacteristic
256C23×C61C22×D411yescharacteristic
257C23×C61C22×D412yes—
258C23×C61C2×#4112yes—
259C23×C61C2×#4112yes—
260C23×C61C2×#4112yes—
261C23×C61H(5,𝔽2)12yes—
262C23×C612−1+412yes—
263D4×C61—232no—
264C2×C4×C61—22no—
265C2×C4×C61—22no—
266C2×C4×C61—24no—
267C2×C4×C61—24no—
268C2×C4×C61—24no—
269C2×C4×C61—24no—
270C2×C4×C61—24no—
271C2×C4×C61—42no—
272C2×C4×C61—42no—
273C2×C4×C61—42no—
274C2×C4×C61—42no—
275C2×C4×C61—42no—
276C2×C4×C61—42no—
277C2×C4×C61—42no—
278C2×C4×C61—42no—
279C2×C4×C61—42no—
280C2×C4×C61—42no—
281C2×C4×C61—42no—
282C2×C4×C61#11714yescomplemented
283C2×Dic61—24no—
284C2×Dic61—22no—
285C2×Dic61—24no—
286C2×Dic61—22no—
287C2×Dic61—232no—
288C2×Dic61—22no—
289C2×Dic61—22no—
290C2×Dic61—24no—
291C2×Dic61—24no—
292C2×Dic61—24no—
293C2×Dic61—24no—
294C2×Dic61—24no—
295C2×Dic61—41no—
296C2×Dic61—42no—
297C2×Dic61—41no—
298C2×Dic61—42no—
299C2×Dic61—41no—
300C2×Dic61—41no—
301C2×Dic61—42no—
302C2×Dic61—42no—
303C2×Dic61—42no—
304C2×Dic61—42no—
305C2×Dic61—416no—
306C2×Dic61—42no—
307C2×Dic61—42no—
308C2×Dic61—42no—
309C2×Dic61—42no—
310C2×Dic61—42no—
311C2×Dic61—42no—
312C2×Dic61—42no—
313C2×Dic61C2×C22⋊C414yes—
314C2×Dic61C2×C22⋊C414yes—
315C2×Dic61C4×D418yes—
316C2×Dic61#12014yes—
317C2×Dic61#12118yes—
318C2×Dic61#12314yes—
319#13871—611nomaximal, Sylow
320C22×C61—24no—
321C22×C61—28no—
322C22×C61—24no—
323C22×C61—24no—
324C22×C61—24no—
325C22×C61—42no—
326C22×C61—44no—
327C22×C61—44no—
328C22×C61—44no—
329C22×C61—44no—
330C22×C61—44no—
331C22×C61—44no—
332C22×C61—44no—
333C22×C61—44no—
334C22×C61—44no—
335C22×C61—44no—
336C22×C61—44no—
337C22×C61—42no—
338C22×C61C22×C22⋊C411yescharacteristic
339C22×C61C2×#11711yescharacteristic
340C22×C61C2×#11711yescharacteristic
341C22×C61C2×C4×D412yes—
342C22×C61#52012yes—
343C22×C61C2×#12011yescharacteristic
344C22×C61C2×#12112yes—
345C22×C61C2×#12311yescharacteristic
346C22×C61#52512yes—
347C22×C61#52512yes—
348C22×C61#53511yescharacteristic
349C22×C61#53611yescharacteristic
350C22×C61#53712yes—
351C22×C61#54612yes—
352C22×C61#54712yes—
353C22×C61#54812yes—
354C22×C61#55012yes—
355C22×C61#55212yes—
356C22×C61#55312yes—
357C22×C61#55512yes—
358C22×C61#55612yes—
359C4×C61—24no—
360C4×C61—44no—
361C4×C61—82no—
362Dic61—24no—
363Dic61—42no—
364Dic61—44no—
365Dic61—42no—
366Dic61—82no—
367Dic61#38618yes—
368C22×C4×D4—611no—
369C22×#117—611no—
370C2×#380—612no—
371C2×#380—611no—
372#1440—611no—
373#1440—611no—
374#1438—611no—
375#1438D6111yescharacteristic
376#1437—612no—
377#1436—612no—
378C4⋊#95—612no—
379C2×C61—44no—
380C2×C61—44no—
381C2×C61#228011yescharacteristic
382C2×C61C2×#38611yescharacteristic
383C2×C61#231111yescharacteristic
384C2×C61#235212yes—
385C2×C61#235412yes—
386C2×C61#240712yes—
387C2×C61#241412yes—
388C2×C61#241512yes—
389C2×C61#248512yes—
390C23×D4C2×D6111yescharacteristic
391C24×C4—611no—
392C24×C4—611no—
393C2×C4×D4—618no—
394C2×C4×D4—1224no—
395C2×C4×D4—1224no—
396C2×#117—1228no—
397C2×#117—1224no—
398C22×C4⋊C4—612no—
399C22×C4⋊C4—611no—
400C22×C4⋊C4—612no—
401C22×C22⋊C4—611no—
402C22×C22⋊C4—611no—
403C22×C22⋊C4—611no—
404C22×C22⋊C4—612no—
405C22×C22⋊C4—611no—
406C22×C22⋊C4C2×D6111yescharacteristic
407C22×C22⋊C4C2×D6112yes—
408C22×C22⋊C4C2×D6111yescharacteristic
409C22×C42—611no—
410C22×C42—612no—
411#380—1228no—
412#380—1224no—
413C2×#95—612no—
414C2×#95—612no—
415C2×#95—612no—
416C2×#95—612no—
417C2×#95—612no—
418C2×#95—612no—
419C2×#95C2×D6112yes—
420C61#1387111yescharacteristic, complemented, Sylow
421C25C22×D6111yescharacteristic
422C25C22×D6111yescharacteristic
423C22×D4—22no—
424C22×D4—22no—
425C22×D4—24no—
426C22×D4—24no—
427C22×D4C4×D6114yes—
428C23×C4—611no—
429C23×C4—614no—
430C23×C4—614no—
431C23×C4—614no—
432C23×C4—611no—
433C23×C4—614no—
434C23×C4—612no—
435C23×C4—611no—
436C23×C4—611no—
437C23×C4—612no—
438C23×C4—1224no—
439C23×C4—1224no—
440C23×C4—1222no—
441C23×C4—1222no—
442C23×C4—1224no—
443C23×C4—1224no—
444C23×C4C22×D6112yes—
445C23×C4C22×D6112yes—
446C23×C4C22×D6111yescharacteristic
447C4×D4—12232no—
448#117—12232no—
449C2×C4⋊C4—614no—
450C2×C4⋊C4—618no—
451C2×C4⋊C4—1224no—
452C2×C4⋊C4—1224no—
453C2×C4⋊C4—1222no—
454C2×C4⋊C4—1222no—
455C2×C4⋊C4—1224no—
456C2×C4⋊C4—1224no—
457C2×C4⋊C4—1224no—
458C2×C22⋊C4—22no—
459C2×C22⋊C4—24no—
460C2×C22⋊C4—22no—
461C2×C22⋊C4—24no—
462C2×C22⋊C4—24no—
463C2×C22⋊C4—42no—
464C2×C22⋊C4—42no—
465C2×C22⋊C4—614no—
466C2×C22⋊C4—614no—
467C2×C22⋊C4—1224no—
468C2×C22⋊C4—1222no—
469C2×C22⋊C4—1222no—
470C2×C22⋊C4—1222no—
471C2×C22⋊C4—1222no—
472C2×C22⋊C4—1222no—
473C2×C22⋊C4—1224no—
474C2×C22⋊C4—1222no—
475C2×C22⋊C4—1224no—
476C2×C22⋊C4—2442no—
477C2×C22⋊C4—2442no—
478C2×C42—614no—
479C2×C42—1224no—
480C2×C42—1224no—
481C2×C42—1222no—
482C2×C42—1222no—
483C2×C42—1224no—
484#95—24no—
485#95—1224no—
486#95—1224no—
487#95—1224no—
488#95—1224no—
489#95—2442no—
490#95—2442no—
491C24—22no—
492C24—22no—
493C24—21no—
494C24—21no—
495C24—22no—
496C24—22no—
497C24—22no—
498C24—22no—
499C24—22no—
500C24—22no—
501C24—22no—
502C24—22no—
503C24—22no—
504C24C2×C4×D6112yes—
505C24C2×C4×D6112yes—
506C24D4×D6112yes—
507C24D4×D6112yes—
508C24#1175822414yes—
509C24C23×D6111yescharacteristic
510C2×D4—216no—
511C2×D4—216no—
512C2×D4—28no—
513C2×D4—28no—
514C2×D4—28no—
515C22×C4—21no—
516C22×C4—21no—
517C22×C4—22no—
518C22×C4—22no—
519C22×C4—22no—
520C22×C4—22no—
521C22×C4—22no—
522C22×C4—22no—
523C22×C4—22no—
524C22×C4—22no—
525C22×C4—22no—
526C22×C4—22no—
527C22×C4—22no—
528C22×C4—22no—
529C22×C4—22no—
530C22×C4—22no—
531C22×C4—612no—
532C22×C4—612no—
533C22×C4—612no—
534C22×C4—614no—
535C22×C4—614no—
536C22×C4—612no—
537C22×C4—612no—
538C22×C4—612no—
539C22×C4—6116no—
540C22×C4—612no—
541C22×C4—612no—
542C22×C4—614no—
543C22×C4—1228no—
544C22×C4—12216no—
545C22×C4—12216no—
546C22×C4—1228no—
547C22×C4—1228no—
548C22×C4—12216no—
549C22×C4—1222no—
550C22×C4—1222no—
551C22×C4—1222no—
552C22×C4—1221no—
553C22×C4—1221no—
554C22×C4—1222no—
555C22×C4—1222no—
556C22×C4—1221no—
557C22×C4—1221no—
558C22×C4—1222no—
559C22×C4—1222no—
560C22×C4—1222no—
561C22×C4—1222no—
562C22×C4—1222no—
563C22×C4—1222no—
564C22×C4—1222no—
565C22×C4—1222no—
566C22×C4—1222no—
567C22×C4—1222no—
568C22×C4—1222no—
569C22×C4—1222no—
570C22×C4—1222no—
571C22×C4—1222no—
572C22×C4—2444no—
573C22×C4—2448no—
574C22×C4—2444no—
575C22×C4C2×C4×D6112yes—
576C22×C4D4×D6114yes—
577C22×C4#1175822414yes—
578C4⋊C4—12216no—
579C4⋊C4—1228no—
580C4⋊C4—2448no—
581C22⋊C4—28no—
582C22⋊C4—48no—
583C22⋊C4—44no—
584C22⋊C4—1228no—
585C22⋊C4—1228no—
586C22⋊C4—1228no—
587C22⋊C4—2448no—
588C22⋊C4—2444no—
589C42—1228no—
590C42—12216no—
591C23—24no—
592C23—24no—
593C23—22no—
594C23—22no—
595C23—22no—
596C23—22no—
597C23—24no—
598C23—24no—
599C23—24no—
600C23—24no—
601C23—22no—
602C23—24no—
603C23—22no—
604C23—24no—
605C23—24no—
606C23—24no—
607C23—24no—
608C23—22no—
609C23—22no—
610C23—24no—
611C23—24no—
612C23—24no—
613C23—42no—
614C23—42no—
615C23—42no—
616C23—42no—
617C23—42no—
618C23—42no—
619C23—41no—
620C23—42no—
621C23—41no—
622C23—41no—
623C23—41no—
624C23—42no—
625C23—42no—
626C23—42no—
627C23—42no—
628C23—42no—
629C23—42no—
630C23—42no—
631C23C22⋊C4×D6114yes—
632C23#1451973314yescomplemented
633C23C22×C4×D6111yescharacteristic
634C23C2×D4×D6111yescharacteristic
635C23C2×D4×D6111yescharacteristic
636C23C2×D4×D6112yes—
637C23#41×D6112yes—
638C23C2×#1175822412yes—
639C23C2×#1175822412yes—
640C23#1451982212yes—
641C23#1451982412yes—
642D4—232no—
643C2×C4—22no—
644C2×C4—22no—
645C2×C4—24no—
646C2×C4—24no—
647C2×C4—24no—
648C2×C4—24no—
649C2×C4—24no—
650C2×C4—42no—
651C2×C4—42no—
652C2×C4—42no—
653C2×C4—42no—
654C2×C4—42no—
655C2×C4—42no—
656C2×C4—42no—
657C2×C4—42no—
658C2×C4—42no—
659C2×C4—42no—
660C2×C4—42no—
661C2×C4—614no—
662C2×C4—618no—
663C2×C4—614no—
664C2×C4—618no—
665C2×C4—614no—
666C2×C4—614no—
667C2×C4—12232no—
668C2×C4—1224no—
669C2×C4—1222no—
670C2×C4—1224no—
671C2×C4—1222no—
672C2×C4—1222no—
673C2×C4—1222no—
674C2×C4—1224no—
675C2×C4—1224no—
676C2×C4—1224no—
677C2×C4—1224no—
678C2×C4—1224no—
679C2×C4—24416no—
680C2×C4—2442no—
681C2×C4—2442no—
682C2×C4—2442no—
683C2×C4—2442no—
684C2×C4—2442no—
685C2×C4—2442no—
686C2×C4—2442no—
687C2×C4—2441no—
688C2×C4—2442no—
689C2×C4—2441no—
690C2×C4—2442no—
691C2×C4—2441no—
692C2×C4—2441no—
693C2×C4—2442no—
694C2×C4—2442no—
695C2×C4—2442no—
696C2×C4—2442no—
697C2×C4#1451973314yescomplemented
698C22—24no—
699C22—24no—
700C22—24no—
701C22—28no—
702C22—24no—
703C22—44no—
704C22—44no—
705C22—44no—
706C22—44no—
707C22—42no—
708C22—44no—
709C22—44no—
710C22—44no—
711C22—44no—
712C22—44no—
713C22—44no—
714C22—44no—
715C22—42no—
716C22C2×C22⋊C4×D6111yescharacteristic
717C22C2×#1451973311yescharacteristic
718C22C2×#1451973311yescharacteristic
719C22C4×D4×D6112yes—
720C22#1684024112yes—
721C22#120×D6111yescharacteristic
722C22#121×D6112yes—
723C22#123×D6111yescharacteristic
724C22#1684026812yes—
725C22#1684026812yes—
726C22#1684032711yescharacteristic
727C22#1684033411yescharacteristic
728C22#1684033912yes—
729C22#1684039912yes—
730C22#1684041212yes—
731C22#1684041812yes—
732C22#1684043212yes—
733C22#1684044912yes—
734C22#1684045512yes—
735C22#1684047612yes—
736C22#1684048112yes—
737C4—24no—
738C4—44no—
739C4—82no—
740C4—618no—
741C4—1224no—
742C4—4882no—
743C4—2442no—
744C4—2444no—
745C4—2442no—
746C2—44no—
747C2—44no—
748C2#2144819711yescharacteristic
749C2#386×D6111yescharacteristic
750C2#2144840611yescharacteristic
751C2#2144874612yes—
752C2#2144876712yes—
753C2#2144915712yes—
754C2#2144923012yes—
755C2#2144924112yes—
756C2#2145010912yes—
subgroupG/H
center, FrattiniC24C23×D61
commutatorC23×C61C23×C4
FittingC61×#1438C2
socle, cosocleC24×C61C24
prime radicalC23×D4×C61C22
hypercenter#1438D61
hypocenterC61#13871
LCSG ▷ C23×C61 ▷ C61
UCSC1 ◁ C24 ◁ #1438

Complements

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

NH ≅ G/Ntype
2. C22×#14519733C2semidirect
3. C2×#16839620C2semidirect
4. C2×#16839620C2semidirect
5. #21444066C2semidirect
6. #21444066C2semidirect
8. #21444056C2semidirect
9. #21444053C2semidirect
10. #21444047C2semidirect
16. C2×D4×Dic61C4semidirect
68. C2×#11758196D4semidirect
187. C22×Dic61C22⋊C4semidirect
253. C23×C61#117semidirect
282. C2×C4×C61#117semidirect
420. C61#13871semidirect
632. C23#14519733semidirect
697. C2×C4#14519733semidirect

Maximal subgroups

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

subgroupindex
C22×D4×Dic612
C22×#145197332
C2×#168396202
#214440662
#214440602
#214440562
#214440532
#214440472
C61×#14382
#1387161