Finite Group Databasebeta

← #29646452

Subgroups — #29646452

Order 15616.

1646 conjugacy classes of subgroups.

The subgroup lattice has 730 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C4×D4×D61C211yesmaximal, characteristic
2#21454450C211yesmaximal, characteristic, complemented
3#21454449C211yesmaximal, characteristic, complemented
4#21444263C211yesmaximal, characteristic, complemented
5#21444262C211yesmaximal, characteristic, complemented
6#21444261C211yesmaximal, characteristic, complemented
7#21444242C214yesmaximal, complemented
8#21444208C214yesmaximal, complemented
9C61×#1490C211yesmaximal, characteristic, complemented
10C22×D4×D61C411yescharacteristic
11C23×C4×D61—21no—
12C2×C4×D244C2211yescharacteristic
13C2×D4×Dic61C411yescharacteristic
14C2×#14519739C411yescharacteristic
15C2×C4×C22⋊D61—21no—
16C2×#14519737—21no—
17C4×D4×D61—21no—
18C4×D4×D61—21no—
19C4×D4×D61—21no—
20C4×D4×D61—21no—
21C4×D4×D61C412yes—
22C4×D4×D61C412yes—
23C4×D4×D61C2212yes—
24C4×D4×D61C2212yes—
25C2×C4⋊C4×D61C411yescharacteristic
26C2×C22⋊C4×D61—21no—
27C2×C42×D61C2211yescharacteristic
28#16839819C2211yescharacteristic, complemented
29#16839817—21no—
30#16839817—21no—
31#16839817—21no—
32#16839814C2212yescomplemented
33#16839813C2212yescomplemented
34#16839813C2212yescomplemented
35#16839812—21no—
36#16839785—21no—
37#16839784C2212yescomplemented
38#16839725—21no—
39#16839724—21no—
40C4×#11758194C2211yescharacteristic, complemented
41#16839714—21no—
42#16839491C2214yescomplemented
43D4⋊#92418C2214yescomplemented
44#16839489C2214yescomplemented
45C2×C4×D4×C61C2211yescharacteristic
46C61×#432C2211yescharacteristic, complemented
47C4×M16×C61C2211yescharacteristic, complemented
48C61×D4⋊C8C2214yescomplemented
49C24×D61—21no—
50C22×D244C2×C411yescharacteristic
51C22×C22⋊D61—21no—
52C2×D4×D61—28no—
53C2×D4×D61—21no—
54C2×D4×D61—21no—
55C2×D4×D61C2×C412yes—
56C2×D4×D61C2×C412yes—
57C23×Dic61—21no—
58C22×C4×D61—21no—
59C22×C4×D61—21no—
60C22×C4×D61—21no—
61C22×C4×D61—22no—
62C22×C4×D61—22no—
63C22×C4×D61—22no—
64C22×C4×D61—22no—
65C22×C4×D61—48no—
66C22×C4×D61C2×C411yescharacteristic
67C22×C4×D61D411yescharacteristic
68C22×C4×D61D411yescharacteristic
69C2×#11758194—21no—
70C2×#11758189—22no—
71C4×D244—21no—
72C4×D244—21no—
73C4×D244C2×C412yes—
74C4×D244C2312yes—
75D4×Dic61—21no—
76D4×Dic61—21no—
77D4×Dic61C2×C412yes—
78D4×Dic61C2×C412yes—
79#14519739—21no—
80#14519739—21no—
81#14519739C2×C412yes—
82#14519739C2×C412yes—
83C4×C22⋊D61—22no—
84C4×C22⋊D61—22no—
85C4×C22⋊D61—22no—
86C4×C22⋊D61—22no—
87#14519737—22no—
88#14519737—22no—
89#14519737—22no—
90#14519737—22no—
91C2×C4⋊Dic61C2×C411yescharacteristic
92C2×#11758196—21no—
93C4⋊C4×D61—21no—
94C4⋊C4×D61—21no—
95C4⋊C4×D61C2×C412yes—
96C4⋊C4×D61C2×C412yes—
97C2×C22⋊Dic61—21no—
98C2×#11758198—21no—
99C2×#11758198—21no—
100C22⋊C4×D61—22no—
101C22⋊C4×D61—22no—
102C22⋊C4×D61—22no—
103C22⋊C4×D61—22no—
104C2×C4×Dic61C2×C411yescharacteristic
105C2×C4×Dic61D411yescharacteristic
106C2×C4×Dic61D411yescharacteristic
107C42×D61C2×C411yescharacteristic
108C42×D61C2×C411yescharacteristic
109C42×D61D411yescharacteristic
110C42×D61D411yescharacteristic
111C42×D61D411yescharacteristic
112C42×D61D411yescharacteristic
113C42×D61C2311yescharacteristic
114C42×D61C2311yescharacteristic
115C4⋊#92418C2312yescomplemented
116#14519706—22no—
117#14519706—22no—
118#14519706—22no—
119C22⋊#92418—21no—
120#14519689—22no—
121#14519689—22no—
122#14519689—22no—
123#14519688—21no—
124#14519688—21no—
125C4×#92418C2312yescomplemented
126C8×Dic61—22no—
127C22×D4×C61C2×C411yescharacteristic
128C23×C4×C61—21no—
129C2×M16×C61—21no—
130C4×D4×C61—21no—
131C4×D4×C61—21no—
132C4×D4×C61C2×C412yes—
133C4×D4×C61C2312yes—
134C2×C4⋊C4×C61C2×C411yescharacteristic
135C2×C22⋊C4×C61—21no—
136C2×C42×C61C2311yescharacteristic
137C4⋊C8×C61C2312yescomplemented
138C22⋊C8×C61—21no—
139#97×C61—21no—
140#97×C61—21no—
141C4×C8×C61C2312yescomplemented
142C24×C61—21no—
143C23×D61—28no—
144C23×D61—21no—
145C23×D61—22no—
146C23×D61—22no—
147C23×D61—44no—
148C23×D61—44no—
149C23×D61C22⋊C411yescharacteristic
150C2×D4×C61—24no—
151C2×D4×C61—21no—
152C2×D4×C61C22×C412yes—
153C22×C4×C61—21no—
154C22×C4×C61—22no—
155C22×C4×C61—22no—
156C22×C4×C61—44no—
157C22×C4×C61C22×C411yescharacteristic
158C22×C4×C61C2×D411yescharacteristic
159C22×C4×C61C2×D411yescharacteristic
160C2×C22⋊D61—28no—
161C2×C22⋊D61—22no—
162C2×C22⋊D61—22no—
163C22×Dic61—21no—
164C22×Dic61—22no—
165C22×Dic61—22no—
166C22×Dic61—44no—
167C22×Dic61C22⋊C411yescharacteristic
168C22×Dic61C22⋊C411yescharacteristic
169C22×Dic61C22⋊C411yescharacteristic
170D4×D61—28no—
171D4×D61—28no—
172D4×D61—24no—
173D4×D61—24no—
174D4×D61—24no—
175D4×D61M1618yescomplemented
176C2×D244—21no—
177C2×D244—24no—
178C2×D244C22×C412yes—
179C2×C4×D61—24no—
180C2×C4×D61—24no—
181C2×C4×D61—22no—
182C2×C4×D61—22no—
183C2×C4×D61—22no—
184C2×C4×D61—22no—
185C2×C4×D61—22no—
186C2×C4×D61—22no—
187C2×C4×D61—48no—
188C2×C4×D61—48no—
189C2×C4×D61—48no—
190C2×C4×D61—42no—
191C2×C4×D61—44no—
192C2×C4×D61—44no—
193C2×C4×D61—44no—
194C2×C4×D61—48no—
195C2×C4×D61C22⋊C411yescharacteristic
196C2×C4×D61C22⋊C411yescharacteristic
197C2×C4×D61C22⋊C411yescharacteristic
198C2×C4×D61C22⋊C411yescharacteristic
199C2×C4×D61C22⋊C411yescharacteristic
200C2×C4×D61C22⋊C411yescharacteristic
201C2×C4×D61C22×C411yescharacteristic
202C2×C4×D61C22×C411yescharacteristic
203C2×C4×D61C2×D411yescharacteristic
204C2×C4×D61C2×D411yescharacteristic
205C2×C4×D61C2×D411yescharacteristic
206C2×C4×D61C2×D411yescharacteristic
207M16×C61—42no—
208C2×C8×C61—22no—
209C2×C8×C61—22no—
210C4⋊C4×C61—21no—
211C4⋊C4×C61C22×C412yes—
212C22⋊C4×C61—22no—
213C22⋊C4×C61—22no—
214C42×C61C22×C411yescharacteristic
215C42×C61C2×D411yescharacteristic
216C42×C61C2×D411yescharacteristic
217C42×C61C2411yescharacteristic
218C22⋊Dic61—22no—
219C22⋊Dic61—22no—
220#11758198—22no—
221#11758198—22no—
222#11758198—22no—
223#11758198—22no—
224C4⋊Dic61—21no—
225C4⋊Dic61C22×C412yes—
226#11758196—22no—
227#11758196—22no—
228C4×Dic61C22⋊C411yescharacteristic
229C4×Dic61C22⋊C411yescharacteristic
230C4×Dic61C22⋊C411yescharacteristic
231C4×Dic61C22⋊C411yescharacteristic
232C4×Dic61C22⋊C411yescharacteristic
233C4×Dic61C22⋊C411yescharacteristic
234C4×Dic61C22×C411yescharacteristic
235C4×Dic61C22×C411yescharacteristic
236C4×Dic61C2×D411yescharacteristic
237C4×Dic61C2×D411yescharacteristic
238C4×Dic61C2×D411yescharacteristic
239C4×Dic61C2×D411yescharacteristic
240#11758194—42no—
241C2×#92418—22no—
242C2×#92418—22no—
243#11758189—44no—
244C23×C61—24no—
245C23×C61—22no—
246C23×C61—42no—
247C23×C61—42no—
248C23×C61C2×C22⋊C411yescharacteristic
249C22×D61—22no—
250C22×D61—22no—
251C22×D61—22no—
252C22×D61—24no—
253C22×D61—28no—
254C22×D61—22no—
255C22×D61—28no—
256C22×D61—44no—
257C22×D61—432no—
258C22×D61—44no—
259C22×D61—44no—
260C22×D61—42no—
261C22×D61—42no—
262C22×D61—44no—
263C22×D61C2×C22⋊C411yescharacteristic
264C22×D61C2×C22⋊C411yescharacteristic
265D4×C61—24no—
266D4×C61—22no—
267D4×C61C2×M1614yes—
268C2×C4×C61—22no—
269C2×C4×C61—22no—
270C2×C4×C61—22no—
271C2×C4×C61—22no—
272C2×C4×C61—44no—
273C2×C4×C61—42no—
274C2×C4×C61—44no—
275C2×C4×C61C2×C22⋊C411yescharacteristic
276C2×C4×C61C2×C22⋊C411yescharacteristic
277C2×C4×C61C2×C22⋊C411yescharacteristic
278C2×C4×C61C23×C411yescharacteristic
279C2×C4×C61C22×D411yescharacteristic
280C2×C4×C61C22×D411yescharacteristic
281C22⋊D61—28no—
282C22⋊D61—28no—
283C2×Dic61—22no—
284C2×Dic61—22no—
285C2×Dic61—22no—
286C2×Dic61—22no—
287C2×Dic61—44no—
288C2×Dic61—42no—
289C2×Dic61—44no—
290C2×Dic61C2×C22⋊C411yescharacteristic
291C2×Dic61C2×C22⋊C411yescharacteristic
292C2×Dic61C2×C22⋊C411yescharacteristic
293C2×Dic61C2×C22⋊C411yescharacteristic
294C2×Dic61C2×C22⋊C411yescharacteristic
295C2×Dic61C2×C22⋊C411yescharacteristic
296D244—24no—
297D244—22no—
298D244C2×M1614yes—
299C4×D61—22no—
300C4×D61—22no—
301C4×D61—22no—
302C4×D61—22no—
303C4×D61—22no—
304C4×D61—22no—
305C4×D61—41no—
306C4×D61—41no—
307C4×D61—41no—
308C4×D61—41no—
309C4×D61—44no—
310C4×D61—44no—
311C4×D61—44no—
312C4×D61—44no—
313C4×D61—44no—
314C4×D61—44no—
315C4×D61C2×M1614yes—
316C4×D61AGL(1,ℤ/8)14yes—
317C8×C61—42no—
318C8×C61—42no—
319#92418—42no—
320#92418—42no—
321#17448—611nomaximal, Sylow
322C22×C61—21no—
323C22×C61—21no—
324C22×C61—24no—
325C22×C61—48no—
326C22×C61—42no—
327C22×C61—42no—
328C22×C61#42112yes—
329C22×C61C22×C22⋊C411yescharacteristic
330C2×D61—28no—
331C2×D61—21no—
332C2×D61—21no—
333C2×D61—21no—
334C2×D61—21no—
335C2×D61—24no—
336C2×D61—416no—
337C2×D61—416no—
338C2×D61—48no—
339C2×D61—42no—
340C2×D61—42no—
341C2×D61#40712yes—
342C2×D61#41812yes—
343C4×C61—21no—
344C4×C61—21no—
345C4×C61—21no—
346C4×C61—21no—
347C4×C61—42no—
348C4×C61C22×M1612yes—
349C4×C61C2×AGL(1,ℤ/8)12yes—
350Dic61—21no—
351Dic61—21no—
352Dic61—21no—
353Dic61—21no—
354Dic61—42no—
355Dic61#40712yes—
356Dic61#41812yes—
357C22×C4×D4—611no—
358#2920—611no—
359#2920—611no—
360#1490—611no—
361#1490—611no—
362#1490—611no—
363#1490D6111yescharacteristic, complemented
364#1486—614no—
365#1478—614no—
366C2×C61—22no—
367C2×C61—44no—
368C2×C61C2×#40711yescharacteristic
369C2×C61C2×#41811yescharacteristic
370C2×C61C2×#42111yescharacteristic
371D61—22no—
372D61—22no—
373D61—44no—
374C23×D4—611no—
375C24×C4—1221no—
376C2×C4×D4—611no—
377C2×C4×D4—612no—
378C2×C4×D4—612no—
379C2×C4×D4—612no—
380C2×C4×D4—612no—
381C2×C4×D4—611no—
382C2×C4×D4—611no—
383C2×C4×D4—1221no—
384C2×C4×D4—1221no—
385C2×C4×D4—1221no—
386C2×C4×D4—1221no—
387C2×C4×D4—1221no—
388C2×C4×D4—1221no—
389C2×C4×D4C2×D6111yescharacteristic
390C22×C4⋊C4—611no—
391C22×C22⋊C4—1221no—
392C22×C42—611no—
393#432—611no—
394#432—1221no—
395#432—1221no—
396#432—1221no—
397#432C2×D6111yescharacteristic, complemented
398#431—612no—
399#431—612no—
400#431—612no—
401#431—1221no—
402#423—612no—
403#423—1221no—
404#407—1221no—
405#407—1221no—
406C4×M16—611no—
407C4×M16—1221no—
408C4×M16C2×D6111yescharacteristic, complemented
409D4⋊C8—614no—
410D4⋊C8—614no—
411D4⋊C8—614no—
412D4⋊C8C2×D6114yescomplemented
413C61#1744811yescharacteristic, complemented, Sylow
414C25—1221no—
415C22×D4—612no—
416C22×D4—612no—
417C22×D4—611no—
418C22×D4—1221no—
419C22×D4—1221no—
420C22×D4—1221no—
421C22×D4—1228no—
422C22×D4C4×D6111yescharacteristic
423C23×C4—21no—
424C23×C4—611no—
425C23×C4—611no—
426C23×C4—611no—
427C23×C4—1221no—
428C23×C4—1222no—
429C23×C4—1222no—
430C23×C4—1222no—
431C23×C4—1222no—
432C23×C4—1221no—
433C23×C4—1221no—
434C23×C4—1221no—
435C23×C4—2448no—
436C2×M16—21no—
437C2×M16—1222no—
438C2×M16—1221no—
439C4×D4—21no—
440C4×D4—21no—
441C4×D4—612no—
442C4×D4—612no—
443C4×D4—612no—
444C4×D4—612no—
445C4×D4—612no—
446C4×D4—612no—
447C4×D4—1222no—
448C4×D4—1222no—
449C4×D4—1222no—
450C4×D4—1222no—
451C4×D4—1221no—
452C4×D4—1221no—
453C4×D4—1222no—
454C4×D4—1222no—
455C4×D4—1222no—
456C4×D4—1222no—
457C4×D4—1221no—
458C4×D4—1221no—
459C4×D4—1221no—
460C4×D4—1221no—
461C4×D4C4×D6112yes—
462C4×D4C22×D6112yes—
463C2×C4⋊C4—611no—
464C2×C4⋊C4—612no—
465C2×C4⋊C4—612no—
466C2×C4⋊C4—1221no—
467C2×C4⋊C4—1221no—
468C2×C4⋊C4—1221no—
469C2×C4⋊C4C4×D6111yescharacteristic
470C2×C22⋊C4—21no—
471C2×C22⋊C4—1222no—
472C2×C22⋊C4—1222no—
473C2×C22⋊C4—1222no—
474C2×C22⋊C4—1222no—
475C2×C22⋊C4—1221no—
476C2×C22⋊C4—1221no—
477C2×C22⋊C4—1221no—
478C2×C42—611no—
479C2×C42—611no—
480C2×C42—611no—
481C2×C42—611no—
482C2×C42—611no—
483C2×C42—611no—
484C2×C42—611no—
485C2×C42—611no—
486C2×C42—611no—
487C2×C42—611no—
488C2×C42—611no—
489C2×C42C22×D6111yescharacteristic
490C4⋊C8—612no—
491C4⋊C8—1222no—
492C4⋊C8—1222no—
493C4⋊C8—1222no—
494C4⋊C8C22×D6112yescomplemented
495C22⋊C8—21no—
496C22⋊C8—1222no—
497C22⋊C8—1222no—
498C22⋊C8—1222no—
499C22⋊C8—1221no—
500#97—21no—
501#97—21no—
502#97—1221no—
503#97—1221no—
504C4×C8—612no—
505C4×C8—1222no—
506C4×C8C22×D6112yescomplemented
507C24—21no—
508C24—611no—
509C24—1222no—
510C24—1222no—
511C24—1228no—
512C24—1221no—
513C24—2444no—
514C24—2444no—
515C2×D4—24no—
516C2×D4—21no—
517C2×D4—618no—
518C2×D4—612no—
519C2×D4—1224no—
520C2×D4—1224no—
521C2×D4—1222no—
522C2×D4—1222no—
523C2×D4—1224no—
524C2×D4—1228no—
525C2×D4—1228no—
526C2×D4—1228no—
527C2×D4—1224no—
528C2×D4—1221no—
529C2×D4C2×C4×D6112yes—
530C22×C4—21no—
531C22×C4—22no—
532C22×C4—22no—
533C22×C4—44no—
534C22×C4—611no—
535C22×C4—611no—
536C22×C4—611no—
537C22×C4—611no—
538C22×C4—611no—
539C22×C4—611no—
540C22×C4—611no—
541C22×C4—611no—
542C22×C4—611no—
543C22×C4—611no—
544C22×C4—611no—
545C22×C4—611no—
546C22×C4—611no—
547C22×C4—611no—
548C22×C4—611no—
549C22×C4—1224no—
550C22×C4—1224no—
551C22×C4—1222no—
552C22×C4—1222no—
553C22×C4—1222no—
554C22×C4—1222no—
555C22×C4—1222no—
556C22×C4—1222no—
557C22×C4—1221no—
558C22×C4—1222no—
559C22×C4—1222no—
560C22×C4—2442no—
561C22×C4—2444no—
562C22×C4—2448no—
563C22×C4—2448no—
564C22×C4—2448no—
565C22×C4—2444no—
566C22×C4—2448no—
567C22×C4—2444no—
568C22×C4—2444no—
569C22×C4C2×C4×D6111yescharacteristic
570C22×C4D4×D6111yescharacteristic
571C22×C4D4×D6111yescharacteristic
572M16—42no—
573M16—2444no—
574M16—2442no—
575C2×C8—22no—
576C2×C8—22no—
577C2×C8—1222no—
578C2×C8—1222no—
579C4⋊C4—21no—
580C4⋊C4—612no—
581C4⋊C4—1222no—
582C4⋊C4—1222no—
583C4⋊C4—1221no—
584C4⋊C4C2×C4×D6112yes—
585C22⋊C4—22no—
586C22⋊C4—22no—
587C22⋊C4—1222no—
588C22⋊C4—1222no—
589C22⋊C4—1222no—
590C22⋊C4—1222no—
591C22⋊C4—1222no—
592C22⋊C4—1222no—
593C42—611no—
594C42—611no—
595C42—611no—
596C42—611no—
597C42—611no—
598C42—611no—
599C42—611no—
600C42—611no—
601C42—611no—
602C42—611no—
603C42—611no—
604C42—611no—
605C42C2×C4×D6111yescharacteristic
606C42D4×D6111yescharacteristic
607C42D4×D6111yescharacteristic
608C42C23×D6111yescharacteristic
609C23—24no—
610C23—22no—
611C23—42no—
612C23—42no—
613C23—611no—
614C23—611no—
615C23—1222no—
616C23—1222no—
617C23—1228no—
618C23—1224no—
619C23—1228no—
620C23—1222no—
621C23—1222no—
622C23—2442no—
623C23—2444no—
624C23—2444no—
625C23—24432no—
626C23—2444no—
627C23—2444no—
628C23—2442no—
629C23C22⋊C4×D6111yescharacteristic
630D4—24no—
631D4—22no—
632D4—614no—
633D4—1224no—
634D4—1228no—
635D4—1228no—
636D4—1222no—
637D4M16×D6114yes—
638C2×C4—22no—
639C2×C4—22no—
640C2×C4—22no—
641C2×C4—22no—
642C2×C4—44no—
643C2×C4—42no—
644C2×C4—44no—
645C2×C4—611no—
646C2×C4—611no—
647C2×C4—614no—
648C2×C4—614no—
649C2×C4—611no—
650C2×C4—611no—
651C2×C4—611no—
652C2×C4—611no—
653C2×C4—1222no—
654C2×C4—1222no—
655C2×C4—1222no—
656C2×C4—1222no—
657C2×C4—1222no—
658C2×C4—1222no—
659C2×C4—1222no—
660C2×C4—1222no—
661C2×C4—1222no—
662C2×C4—1222no—
663C2×C4—2441no—
664C2×C4—2441no—
665C2×C4—2441no—
666C2×C4—2441no—
667C2×C4—2444no—
668C2×C4—2444no—
669C2×C4—2444no—
670C2×C4—2444no—
671C2×C4—2444no—
672C2×C4—2444no—
673C2×C4—2444no—
674C2×C4—2442no—
675C2×C4—2444no—
676C2×C4C22⋊C4×D6111yescharacteristic
677C2×C4C22⋊C4×D6111yescharacteristic
678C2×C4C22⋊C4×D6111yescharacteristic
679C2×C4C22×C4×D6111yescharacteristic
680C2×C4C2×D4×D6111yescharacteristic
681C2×C4C2×D4×D6111yescharacteristic
682C8—42no—
683C8—42no—
684C8—2442no—
685C8—2442no—
686C22—21no—
687C22—21no—
688C22—24no—
689C22—48no—
690C22—42no—
691C22—42no—
692C22—612no—
693C22—612no—
694C22—1228no—
695C22—1221no—
696C22—1221no—
697C22—1221no—
698C22—1221no—
699C22—1224no—
700C22—2448no—
701C22—24416no—
702C22—24416no—
703C22—2442no—
704C22—2442no—
705C22#1683977712yes—
706C22C2×C22⋊C4×D6111yescharacteristic
707C4—21no—
708C4—21no—
709C4—21no—
710C4—21no—
711C4—42no—
712C4—612no—
713C4—612no—
714C4—1221no—
715C4—1221no—
716C4—1221no—
717C4—1221no—
718C4—2442no—
719C4C2×M16×D6112yes—
720C4AGL(1,ℤ/8)×D6112yes—
721C2—22no—
722C2—44no—
723C2—1222no—
724C2—1222no—
725C2—2444no—
726C2#407×D6111yescharacteristic
727C2#418×D6111yescharacteristic
728C2C2×#1683977711yescharacteristic
subgroupG/H
centerC2×C4C2×D4×D61
commutatorC2×C4×C61C23×C4
FrattiniC42C23×D61
FittingC61×#1490C2
socleC22×C61C22×C22⋊C4
prime radicalC22×D4×D61C4
cosocleC42×C61C24
hypercenter#1490D61
hypocenterC61#17448
LCSG ▷ C2×C4×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C2×C4 ◁ C2×C42 ◁ #1490

Complements

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

NH ≅ G/Ntype
2. #21454450C2semidirect
3. #21454449C2semidirect
4. #21444263C2semidirect
5. #21444262C2semidirect
6. #21444261C2semidirect
7. #21444242C2semidirect
8. #21444208C2semidirect
9. C61×#1490C2semidirect
28. #16839819C22semidirect
32. #16839814C22semidirect
33. #16839813C22semidirect
34. #16839813C22semidirect
37. #16839784C22semidirect
40. C4×#11758194C22semidirect
42. #16839491C22semidirect
43. D4⋊#92418C22semidirect
44. #16839489C22semidirect
46. C61×#432C22semidirect
47. C4×M16×C61C22semidirect
48. C61×D4⋊C8C22semidirect
115. C4⋊#92418C23semidirect
125. C4×#92418C23semidirect
137. C4⋊C8×C61C23semidirect
141. C4×C8×C61C23semidirect
175. D4×D61M16semidirect
363. #1490D61semidirect
397. #432C2×D61semidirect
408. C4×M16C2×D61semidirect
412. D4⋊C8C2×D61semidirect
413. C61#17448semidirect
494. C4⋊C8C22×D61semidirect
506. C4×C8C22×D61semidirect

Maximal subgroups

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

subgroupindex
C2×C4×D4×D612
#214544502
#214544492
#214442632
#214442622
#214442612
#214442422
#214442082
C61×#14902
#1744861