Finite Group Databasebeta

← #30620370

Subgroups — #30620370

Order 15616.

1182 conjugacy classes of subgroups.

The subgroup lattice has 742 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1D61⋊#436C211yesmaximal, characteristic
2D4×C4⋊#6923C211yesmaximal, characteristic
3#21462000C211yesmaximal, characteristic, complemented
4#21461998C211yesmaximal, characteristic, complemented
5#21461834C212yesmaximal, complemented
6#21461804C212yesmaximal, complemented
7#21461724C212yesmaximal, complemented
8#21461688C211yesmaximal, characteristic, complemented
9C4×#14519840C211yesmaximal, characteristic, complemented
10#21461508C212yesmaximal, complemented
11#556×D61C211yesmaximal, characteristic
12C2×D61⋊M16C2212yes—
13C2×D4×#6923—21no—
14C22×C4⋊#6923C2212yes—
15#16840797—21no—
16#16840796—21no—
17#16840795—22no—
18D61⋊(C4⋊C8)C2211yescharacteristic
19C2×#14519840C2211yescharacteristic
20C2×#14519840C2211yescharacteristic
21C2×#14519840C2212yes—
22D61⋊(C22⋊C8)C2212yes—
23C4×D61⋊C8C2211yescharacteristic
24#16840713—21no—
25#16840709—22no—
26#16840708C2211yescharacteristic
27#16840704C2212yes—
28C4×C4⋊#6923C2211yescharacteristic
29#16840635C2211yescharacteristic
30#16840635C2212yes—
31#16840635C2212yes—
32#16840635C2212yes—
33#16840635C2212yes—
34#16840635C2212yes—
35#16840635C2211yescharacteristic
36#16840486C411yescharacteristic, complemented
37#16840485C411yescharacteristic, complemented
38#16840484—21no—
39#16840483C412yescomplemented
40#16840482C411yescharacteristic, complemented
41#16840481—21no—
42#16840480C412yescomplemented
43#16840479—22no—
44C4⋊Q8×D61C2211yescharacteristic
45#126×D61—22no—
46#124×D61—21no—
47C22⋊Q8×D61C2212yes—
48C4×Q8×D61—21no—
49C4×Q8×D61C2211yescharacteristic
50C4×D4×D61C2211yescharacteristic
51#117×D61C2212yes—
52C61×#556C411yescharacteristic, complemented
53C23×#6923—22no—
54C2×#11758213—22no—
55D61⋊M16—24no—
56D61⋊M16—42no—
57C2×#11758217—22no—
58C2×D61⋊C8C2311yescharacteristic
59C2×D61⋊C8C2312yes—
60C2×D61⋊C8C2311yescharacteristic
61D4×#6923—44no—
62C2×C4⋊#6923—24no—
63C2×C4⋊#6923—21no—
64C2×C4⋊#6923—22no—
65C2×C4⋊#6923—21no—
66C2×C4⋊#6923—42no—
67C2×C4⋊#6923C2311yescharacteristic
68C2×C4⋊#6923C2312yes—
69C2×C4⋊#6923C2311yescharacteristic
70C2×C22⋊#6923—22no—
71C2×C4×#6923—21no—
72#14519844—21no—
73C4⋊#92420—21no—
74#14519840—22no—
75#14519840—22no—
76#14519840—42no—
77#14519834—22no—
78C22⋊#92420—22no—
79C4×#92420—21no—
80C4×#92420—21no—
81(C2×#6923)⋊C4—22no—
82(C2×#6923)⋊C4—21no—
83C2×Q8×D61—21no—
84C2×Q8×D61C2311yescharacteristic
85C2×D4×D61D411yescharacteristic
86C22×C4×D61C2312yes—
87#14519777C2×C411yescharacteristic, complemented
88#14519776—21no—
89#14519776C2×C412yescomplemented
90#14519775—21no—
91#14519772—22no—
92#14519772—22no—
93#14519772—22no—
94#14519771—22no—
95#14519770—22no—
96#14519770—22no—
97#14519770—22no—
98#14519766—21no—
99#14519765—21no—
100#14519764—21no—
101#14519763—22no—
102#14519763—22no—
103#14519757C2×C412yescomplemented
104#14519756C2×C412yescomplemented
105#14519755—22no—
106#14519754—22no—
107#14519753C2×C412yescomplemented
108Q8×Dic61—21no—
109Q8×Dic61C2×C411yescharacteristic, complemented
110C4×Dic122—21no—
111C4×Dic122—22no—
112C4×Dic122—21no—
113C4×Dic122C2×C411yescharacteristic, complemented
114#14519742—21no—
115#14519742—22no—
116#14519742—21no—
117#14519742C2×C411yescharacteristic, complemented
118C4×D244C2×C411yescharacteristic
119D4×Dic61D411yescharacteristic
120#14519739D411yescharacteristic
121C4×C22⋊D61C2×C412yes—
122#14519737D412yes—
123#14519736C2×C412yescomplemented
124#14519735C2×C412yescomplemented
125#14519735C2×C412yescomplemented
126#14519734—22no—
127#14519733—22no—
128C4⋊C4×D61—22no—
129C4⋊C4×D61—21no—
130C4⋊C4×D61—21no—
131C4⋊C4×D61D411yescharacteristic
132C4⋊C4×D61C2311yescharacteristic
133C4⋊C4×D61C2312yes—
134C22⋊C4×D61—22no—
135C22⋊C4×D61—22no—
136C22⋊C4×D61D412yes—
137C42×D61—22no—
138C42×D61—21no—
139C42×D61C2311yescharacteristic
140C4⋊Q8×C61C2×C411yescharacteristic, complemented
141#126×C61—22no—
142#124×C61—21no—
143C22⋊Q8×C61C2×C412yescomplemented
144C4×Q8×C61—21no—
145C4×Q8×C61C2×C411yescharacteristic, complemented
146C4×D4×C61C2×C411yescharacteristic
147#117×C61C2×C412yescomplemented
148C23×D61C2×D412yes—
149C22×#6923—21no—
150C22×#6923—21no—
151C22×#6923—22no—
152C22×#6923—44no—
153C22×#6923—44no—
154C22×#6923—82no—
155C2×Q8×C61—21no—
156C2×Q8×C61C22×C411yescharacteristic
157C2×D4×C61C22⋊C411yescharacteristic
158C22×C4×C61C22×C412yes—
159C2×C22⋊D61C22⋊C412yes—
160C22×Dic61C2×D412yes—
161Q8×D61—21no—
162Q8×D61—21no—
163Q8×D61—21no—
164Q8×D61—21no—
165Q8×D61—42no—
166Q8×D61—42no—
167D4×D61—22no—
168D4×D61—22no—
169C2×D244C22⋊C411yescharacteristic
170C2×C4×D61—22no—
171C2×C4×D61—22no—
172C2×C4×D61—22no—
173C2×C4×D61—22no—
174C2×C4×D61—22no—
175C2×C4×D61—21no—
176C2×C4×D61—21no—
177C2×C4×D61C22×C412yes—
178C2×C4×D61C2×D412yes—
179C2×C4×D61C2×D411yescharacteristic
180C2×C4×D61C2×D412yes—
181C2×C4×D61C2×D411yescharacteristic
182C2×C4×D61C2411yescharacteristic
183C2×Dic122—21no—
184C2×Dic122—22no—
185C2×Dic122—21no—
186C2×Dic122C22×C411yescharacteristic
187C22⋊#6923—44no—
188#11758217—44no—
189C2×#92420—21no—
190C2×#92420—21no—
191C2×#92420—22no—
192C4⋊#6923—21no—
193C4⋊#6923—22no—
194C4⋊#6923—21no—
195C4⋊#6923—22no—
196C4⋊#6923—21no—
197C4⋊#6923—44no—
198C4⋊#6923—42no—
199C4⋊#6923—81no—
200C4⋊#6923#4112yes—
201C4×#6923—42no—
202#11758213—44no—
203D61⋊C8—21no—
204D61⋊C8—21no—
205D61⋊C8—22no—
206D61⋊C8—22no—
207D61⋊C8—21no—
208D61⋊C8#4112yes—
209C4⋊C4×C61—22no—
210C4⋊C4×C61—21no—
211C4⋊C4×C61—21no—
212C4⋊C4×C61C22⋊C411yescharacteristic
213C4⋊C4×C61C22×C411yescharacteristic
214C4⋊C4×C61C22×C412yes—
215C22⋊C4×C61—22no—
216C22⋊C4×C61—22no—
217C22⋊C4×C61C22⋊C412yes—
218C42×C61—22no—
219C42×C61—21no—
220C42×C61C22×C411yescharacteristic
221C22⋊Dic61—22no—
222C22⋊Dic61—22no—
223C22⋊Dic61C22⋊C412yes—
224#11758198—22no—
225#11758198—22no—
226#11758198—22no—
227#11758198—22no—
228#11758198C22⋊C412yes—
229#11758198C22⋊C412yes—
230C4⋊Dic61—21no—
231C4⋊Dic61—22no—
232C4⋊Dic61—21no—
233C4⋊Dic61C22⋊C411yescharacteristic
234C4⋊Dic61C22×C411yescharacteristic
235C4⋊Dic61C22×C412yes—
236#11758196—22no—
237#11758196—21no—
238#11758196—22no—
239#11758196—21no—
240#11758196—22no—
241#11758196—21no—
242#11758196—22no—
243#11758196C22⋊C412yes—
244C4×Dic61—22no—
245C4×Dic61—21no—
246C4×Dic61—22no—
247C4×Dic61—22no—
248C4×Dic61—21no—
249C4×Dic61—21no—
250C4×Dic61C22×C411yescharacteristic
251C4×Dic61C2×D411yescharacteristic
252C4×Dic61C2×D411yescharacteristic
253C23×C61C2×C22⋊C412yes—
254C22×D61—22no—
255C22×D61—22no—
256C22×D61—22no—
257C22×D61—22no—
258C22×D61—22no—
259C22×D61—22no—
260C22×D61C2×C22⋊C412yes—
261C22×D61C22×D411yescharacteristic
262C2×#6923—22no—
263C2×#6923—41no—
264C2×#6923—41no—
265C2×#6923—42no—
266C2×#6923—41no—
267C2×#6923—41no—
268C2×#6923—42no—
269C2×#6923—42no—
270C2×#6923—41no—
271C2×#6923—88no—
272Q8×C61—21no—
273Q8×C61—21no—
274Q8×C61—42no—
275D4×C61—22no—
276C2×C4×C61—22no—
277C2×C4×C61—22no—
278C2×C4×C61—21no—
279C2×C4×C61—21no—
280C2×C4×C61—22no—
281C2×C4×C61C2×C22⋊C412yes—
282C2×C4×C61C2×C22⋊C411yescharacteristic
283C2×C4×C61C2×C22⋊C411yescharacteristic
284C2×C4×C61C23×C411yescharacteristic
285C22⋊D61—24no—
286C2×Dic61—22no—
287C2×Dic61—22no—
288C2×Dic61—21no—
289C2×Dic61—21no—
290C2×Dic61—22no—
291C2×Dic61C2×C22⋊C412yes—
292C2×Dic61C2×C22⋊C411yescharacteristic
293C2×Dic61C2×C22⋊C411yescharacteristic
294C2×Dic61C22×D411yescharacteristic
295D244—22no—
296C4×D61—22no—
297C4×D61—22no—
298C4×D61—21no—
299C4×D61—21no—
300C4×D61—22no—
301C4×D61—22no—
302C4×D61—22no—
303C4×D61—22no—
304C4×D61—41no—
305C4×D61—41no—
306C4×D61—42no—
307C4×D61—42no—
308C4×D61—41no—
309C4×D61—41no—
310C4×D61AGL(1,ℤ/8)12yes—
311C4×D61#13712yes—
312C4×D61C2×#4111yescharacteristic
313C4×D61C2×#4111yescharacteristic
314C4×D61H(5,𝔽2)11yescharacteristic
315C4×D612−1+411yescharacteristic
316Dic122—21no—
317Dic122—21no—
318Dic122—42no—
319Dic122—41no—
320Dic122—41no—
321Dic122—44no—
322#92420—22no—
323#92420—42no—
324#92420—41no—
325#22504—611nomaximal, Sylow
326C22×C61—22no—
327C22×C61—22no—
328C22×C61—22no—
329C22×C61C22×C22⋊C411yescharacteristic
330C2×D61—22no—
331C2×D61—22no—
332C2×D61—22no—
333C2×D61—42no—
334C2×D61—42no—
335C2×D61—42no—
336C2×D61—42no—
337C2×D61#54611yescharacteristic
338C2×D61#54711yescharacteristic
339C2×D61C2×AGL(1,ℤ/8)11yescharacteristic
340C2×D61C2×#13711yescharacteristic
341C2×D61#57711yescharacteristic
342C2×D61#57811yescharacteristic
343#6923—42no—
344#6923—81no—
345#6923—82no—
346C4×C61—22no—
347C4×C61—21no—
348C4×C61—41no—
349C4×C61—42no—
350C4×C61—41no—
351C4×C61#41712yes—
352C4×C61C4×#4111yescharacteristic
353C4×C61#52011yescharacteristic
354Dic61—22no—
355Dic61—21no—
356Dic61—41no—
357Dic61—42no—
358Dic61—41no—
359Dic61#41712yes—
360Dic61#54611yescharacteristic
361Dic61#54711yescharacteristic
362C2×#556—611no—
363C2×#436—611no—
364D4×C4⋊C4—611no—
365#1990—611no—
366#1988—611no—
367#1894—612no—
368#1872—612no—
369#1825—612no—
370#1803—611no—
371C4×#103—611no—
372#1736—612no—
373C2×C61—42no—
374C2×C61#233911yescharacteristic
375C2×C61C2×#41711yescharacteristic
376C2×C61#289811yescharacteristic
377D61—42no—
378D61#332411yescharacteristic
379D61#332811yescharacteristic
380D61#335311yescharacteristic
381D61#335611yescharacteristic
382C22×M16—612no—
383#556—611no—
384#556—612no—
385#556—611no—
386#556—611no—
387#556—612no—
388#556—1221no—
389#556—1221no—
390#556—1222no—
391#556#692311yescharacteristic, complemented
392C2×C4⋊Q8—611no—
393C2×#126—1222no—
394C2×#124—1221no—
395C2×C22⋊Q8—612no—
396C2×C4×Q8—611no—
397C2×C4×Q8—1221no—
398C2×C4×D4—611no—
399C2×C4×D4—1221no—
400C2×#117—612no—
401C22×C4⋊C4—612no—
402#436—1222no—
403#436—1221no—
404#436—1221no—
405C2×C4⋊C8—611no—
406C2×#103—611no—
407C2×#103—611no—
408C2×#103—612no—
409C2×C22⋊C8—612no—
410C2×C4×C8—611no—
411#389—1221no—
412#385—1222no—
413#384—611no—
414#380—612no—
415C4×C4⋊C4—611no—
416#340—612no—
417#340—611no—
418#340—612no—
419#340—612no—
420#340—612no—
421#340—612no—
422#340—611no—
423C61#2250411yescharacteristic, complemented, Sylow
424C22×Q8—611no—
425C22×Q8—1221no—
426C22×D4—611no—
427C23×C4—612no—
428C23×C4—1222no—
429C2×M16—1224no—
430C2×M16—1222no—
431C2×M16—1222no—
432C2×M16—2442no—
433C22×C8—611no—
434C22×C8—612no—
435C22×C8—611no—
436C4⋊Q8—612no—
437C4⋊Q8—611no—
438C4⋊Q8—1221no—
439C4⋊Q8—1221no—
440C4⋊Q8C2×#692311yescharacteristic, complemented
441#126—22no—
442#126—1222no—
443#126—1222no—
444#126—1222no—
445#126—1222no—
446#126—1222no—
447#126—1222no—
448#126—1222no—
449#124—21no—
450#124—1221no—
451#124—1222no—
452#124—1222no—
453#124—1221no—
454#124—1221no—
455C22⋊Q8—612no—
456C22⋊Q8—612no—
457C22⋊Q8—612no—
458C22⋊Q8—1222no—
459C22⋊Q8—1222no—
460C22⋊Q8C2×#692312yescomplemented
461C4×Q8—21no—
462C4×Q8—611no—
463C4×Q8—611no—
464C4×Q8—611no—
465C4×Q8—1221no—
466C4×Q8—1222no—
467C4×Q8—1221no—
468C4×Q8—1221no—
469C4×Q8—1222no—
470C4×Q8—1221no—
471C4×Q8—1221no—
472C4×Q8C2×#692311yescharacteristic, complemented
473C4×D4—611no—
474C4×D4—612no—
475C4×D4—611no—
476C4×D4—612no—
477C4×D4—611no—
478C4×D4—2444no—
479C4×D4C2×#692311yescharacteristic
480#117—612no—
481#117—612no—
482#117—612no—
483#117—1222no—
484#117—1222no—
485#117C2×#692312yescomplemented
486C2×C4⋊C4—611no—
487C2×C4⋊C4—611no—
488C2×C4⋊C4—611no—
489C2×C4⋊C4—612no—
490C2×C4⋊C4—612no—
491C2×C4⋊C4—611no—
492C2×C4⋊C4—1221no—
493C2×C4⋊C4—1222no—
494C2×C4⋊C4—1221no—
495C2×C4⋊C4—1224no—
496C2×C4⋊C4—1221no—
497C2×C4⋊C4—1222no—
498C2×C4⋊C4—1221no—
499C2×C4⋊C4—2442no—
500C2×C22⋊C4—612no—
501C2×C22⋊C4—1222no—
502C2×C22⋊C4—1222no—
503C2×C22⋊C4—1222no—
504C2×C42—611no—
505C2×C42—1222no—
506C2×C42—1221no—
507C2×C42—1221no—
508C4⋊C8—1221no—
509C4⋊C8—1221no—
510#103—1222no—
511#103—1222no—
512#103—2442no—
513C22⋊C8—1222no—
514C22⋊C8—1222no—
515C4×C8—1221no—
516C4×C8—1221no—
517#95—1221no—
518#95—1222no—
519C24—612no—
520C2×Q8—21no—
521C2×Q8—611no—
522C2×Q8—1221no—
523C2×Q8—1222no—
524C2×Q8—1221no—
525C2×Q8—1221no—
526C2×Q8—1221no—
527C2×Q8—1221no—
528C2×Q8—1221no—
529C2×Q8—2442no—
530C2×Q8—2442no—
531C2×Q8C22×#692311yescharacteristic
532C2×D4—612no—
533C2×D4—611no—
534C2×D4—1222no—
535C2×D4—1222no—
536C2×D4C22⋊#692311yescharacteristic
537C22×C4—611no—
538C22×C4—611no—
539C22×C4—612no—
540C22×C4—611no—
541C22×C4—612no—
542C22×C4—612no—
543C22×C4—612no—
544C22×C4—1222no—
545C22×C4—1222no—
546C22×C4—1222no—
547C22×C4—1222no—
548C22×C4—1221no—
549C22×C4—1222no—
550C22×C4—1221no—
551C22×C4—1221no—
552C22×C4—1221no—
553C22×C4—1222no—
554C22×C4—4882no—
555C22×C4—2444no—
556C22×C4—2444no—
557C22×C4C22×#692312yes—
558M16—2444no—
559M16—2444no—
560C2×C8—612no—
561C2×C8—1221no—
562C2×C8—1221no—
563C2×C8—1221no—
564C2×C8—1222no—
565C2×C8—1221no—
566C2×C8—1222no—
567C2×C8—1222no—
568C2×C8—1221no—
569C4⋊C4—22no—
570C4⋊C4—21no—
571C4⋊C4—21no—
572C4⋊C4—612no—
573C4⋊C4—611no—
574C4⋊C4—612no—
575C4⋊C4—611no—
576C4⋊C4—612no—
577C4⋊C4—1221no—
578C4⋊C4—1222no—
579C4⋊C4—1221no—
580C4⋊C4—1222no—
581C4⋊C4—1222no—
582C4⋊C4—1221no—
583C4⋊C4—1222no—
584C4⋊C4—1221no—
585C4⋊C4—1221no—
586C4⋊C4—1222no—
587C4⋊C4—1222no—
588C4⋊C4—1221no—
589C4⋊C4—1221no—
590C4⋊C4—1222no—
591C4⋊C4—1221no—
592C4⋊C4—4881no—
593C4⋊C4—2442no—
594C4⋊C4—2444no—
595C4⋊C4C22⋊#692311yescharacteristic
596C4⋊C4C22×#692311yescharacteristic
597C4⋊C4C22×#692312yes—
598C22⋊C4—22no—
599C22⋊C4—22no—
600C22⋊C4—612no—
601C22⋊C4—612no—
602C22⋊C4—612no—
603C22⋊C4—1222no—
604C22⋊C4—1222no—
605C22⋊C4—1222no—
606C22⋊C4—1222no—
607C22⋊C4—1222no—
608C22⋊C4—1222no—
609C22⋊C4—2444no—
610C22⋊C4C22⋊#692312yes—
611C42—22no—
612C42—21no—
613C42—611no—
614C42—611no—
615C42—611no—
616C42—1222no—
617C42—1222no—
618C42—1221no—
619C42—1221no—
620C42—1222no—
621C42—1221no—
622C42—2442no—
623C42C22×#692311yescharacteristic
624C23—611no—
625C23—612no—
626C23—1222no—
627C23—1222no—
628C23—1222no—
629C23—1222no—
630C23—1222no—
631C23—1222no—
632C23C2×C22⋊#692312yes—
633Q8—21no—
634Q8—21no—
635Q8—42no—
636Q8—1221no—
637Q8—1221no—
638Q8—2441no—
639Q8—2441no—
640Q8—2444no—
641Q8—2442no—
642D4—22no—
643D4—1224no—
644D4—1222no—
645C2×C4—22no—
646C2×C4—22no—
647C2×C4—21no—
648C2×C4—21no—
649C2×C4—22no—
650C2×C4—611no—
651C2×C4—611no—
652C2×C4—612no—
653C2×C4—612no—
654C2×C4—611no—
655C2×C4—611no—
656C2×C4—611no—
657C2×C4—611no—
658C2×C4—611no—
659C2×C4—612no—
660C2×C4—1222no—
661C2×C4—1222no—
662C2×C4—1221no—
663C2×C4—1222no—
664C2×C4—1221no—
665C2×C4—1222no—
666C2×C4—1222no—
667C2×C4—1222no—
668C2×C4—1222no—
669C2×C4—1222no—
670C2×C4—1222no—
671C2×C4—1221no—
672C2×C4—1222no—
673C2×C4—1221no—
674C2×C4—4888no—
675C2×C4—2441no—
676C2×C4—2441no—
677C2×C4—2441no—
678C2×C4—2441no—
679C2×C4—2442no—
680C2×C4—2442no—
681C2×C4—2441no—
682C2×C4—2442no—
683C2×C4—2442no—
684C2×C4—2441no—
685C2×C4—2442no—
686C2×C4—2441no—
687C2×C4—2441no—
688C2×C4—2441no—
689C2×C4C2×C22⋊#692312yes—
690C2×C4C2×C22⋊#692311yescharacteristic
691C2×C4C2×C22⋊#692311yescharacteristic
692C2×C4C23×#692311yescharacteristic
693C8—1222no—
694C8—2441no—
695C8—2442no—
696C22—22no—
697C22—22no—
698C22—22no—
699C22—611no—
700C22—611no—
701C22—611no—
702C22—611no—
703C22—611no—
704C22—611no—
705C22—1222no—
706C22—1222no—
707C22—1222no—
708C22—2442no—
709C22—2442no—
710C22—2442no—
711C22—2442no—
712C22C22×C22⋊#692311yescharacteristic
713C4—22no—
714C4—21no—
715C4—41no—
716C4—42no—
717C4—41no—
718C4—611no—
719C4—611no—
720C4—612no—
721C4—1222no—
722C4—1221no—
723C4—4882no—
724C4—4881no—
725C4—2442no—
726C4—2441no—
727C4—2442no—
728C4—2441no—
729C4#1684075312yes—
730C4#41×#692311yescharacteristic
731C4#1684083111yescharacteristic
732C2—42no—
733C2—611no—
734C2—611no—
735C2—611no—
736C2—611no—
737C2—2442no—
738C2#2146232211yescharacteristic
739C2C2×#1684075311yescharacteristic
740C2#2146244111yescharacteristic
subgroupG/H
centerC22C22×C22⋊#6923
commutatorC2×C4×C61C23×C4
FrattiniC2×C4C23×#6923
FittingC61×#556C4
socleC22×C61C22×C22⋊C4
prime radicalC2×D4×D61D4
cosocleC2×C4×D61C24
hypercenter#556#6923
hypocenterC61#22504
LCSG ▷ C2×C4×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C22 ◁ C4×D4 ◁ #556

Complements

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

NH ≅ G/Ntype
3. #21462000C2semidirect
4. #21461998C2semidirect
5. #21461834C2semidirect
6. #21461804C2semidirect
7. #21461724C2semidirect
8. #21461688C2semidirect
9. C4×#14519840C2semidirect
10. #21461508C2semidirect
36. #16840486C4semidirect
37. #16840485C4semidirect
39. #16840483C4semidirect
40. #16840482C4semidirect
42. #16840480C4semidirect
52. C61×#556C4semidirect
87. #14519777C2×C4semidirect
89. #14519776C2×C4semidirect
103. #14519757C2×C4semidirect
104. #14519756C2×C4semidirect
107. #14519753C2×C4semidirect
109. Q8×Dic61C2×C4semidirect
113. C4×Dic122C2×C4semidirect
117. #14519742C2×C4semidirect
123. #14519736C2×C4semidirect
124. #14519735C2×C4semidirect
125. #14519735C2×C4semidirect
140. C4⋊Q8×C61C2×C4semidirect
143. C22⋊Q8×C61C2×C4semidirect
145. C4×Q8×C61C2×C4semidirect
147. #117×C61C2×C4semidirect
391. #556#6923semidirect
423. C61#22504semidirect
440. C4⋊Q8C2×#6923semidirect
460. C22⋊Q8C2×#6923semidirect
472. C4×Q8C2×#6923semidirect
485. #117C2×#6923semidirect

Maximal subgroups

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

subgroupindex
D61⋊#4362
D4×C4⋊#69232
#214620002
#214619982
#214618342
#214618042
#214617242
#214616882
C4×#145198402
#214615082
#556×D612
#2250461