Finite Group Databasebeta

← #29648794

Subgroups — #29648794

Order 15616.

964 conjugacy classes of subgroups.

The subgroup lattice has 752 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21459720C211yesmaximal, characteristic
2#21454938C211yesmaximal, characteristic, complemented
3#21454388C211yesmaximal, characteristic, complemented
4#21444556C211yesmaximal, characteristic, complemented
5#21444555C211yesmaximal, characteristic, complemented
6#21444538C211yesmaximal, characteristic, complemented
7#21444520C211yesmaximal, characteristic, complemented
8#21444516C211yesmaximal, characteristic, complemented
9#21444502C211yesmaximal, characteristic, complemented
10#21444496C211yesmaximal, characteristic, complemented
11#21444493C211yesmaximal, characteristic, complemented
12#21444493C211yesmaximal, characteristic, complemented
13#21444465C211yesmaximal, characteristic, complemented
14#332×D61C211yesmaximal, characteristic, complemented
15C61×#1557C211yesmaximal, characteristic, complemented
16C2×#14519785—21no—
17#16840481—21no—
18#16840476C412yes—
19#16840471C412yes—
20#16840462C412yes—
21#16840459C412yes—
22#16840420—21no—
23#16840419—21no—
24#16840411—21no—
25#16840379—21no—
26#16840377—21no—
27#16840341—21no—
28#16840319C2211yescharacteristic
29#16840317C2211yescharacteristic
30#16840310C2211yescharacteristic
31#16840310C2211yescharacteristic
32C4⋊Q8×D61C2211yescharacteristic
33#16840241—21no—
34C4×#11758222C2211yescharacteristic
35#16839890—21no—
36#16839837—21no—
37#16839836—21no—
38#16839835—21no—
39#16839818C2211yescharacteristic
40#16839814C2211yescharacteristic
41#16839790—21no—
42#16839787—21no—
43#16839787—21no—
44#16839786C2211yescharacteristic
45#16839784C2211yescharacteristic
46#16839784C2211yescharacteristic
47#16839784C2211yescharacteristic
48C2×C4⋊#92418C2211yescharacteristic
49C4⋊C8×D61C2211yescharacteristic
50C4⋊C8×D61C2211yescharacteristic
51C4⋊C8×D61C2211yescharacteristic
52#16839509C2211yescharacteristic
53#16839509C2211yescharacteristic
54#16839509C2211yescharacteristic
55#16839509C2211yescharacteristic
56#16839508C2211yescharacteristic
57#16839508C2211yescharacteristic
58#16839507C2211yescharacteristic
59#16839507C2211yescharacteristic
60#16839507C2211yescharacteristic
61#16839507C2211yescharacteristic
62#16839506C2211yescharacteristic
63#16839506C2211yescharacteristic
64C61×#532C2211yescharacteristic
65C61×#432C2211yescharacteristic
66C61×#423C2211yescharacteristic
67C61×#332C2211yescharacteristic
68C61×#332C2211yescharacteristic
69C61×#331C2211yescharacteristic
70C61×#331C2211yescharacteristic
71C2×#11758222D411yescharacteristic
72C2×#11758224—21no—
73C2×#11758224—21no—
74C2×Q8×D61—21no—
75#14519785—44no—
76C2×#11758194—21no—
77C2×#11758189—21no—
78C2×#11758189—21no—
79C2×#11758189—21no—
80C22×#92418—21no—
81C2×C8×D61—21no—
82C2×C8×D61—21no—
83C2×C8×D61—21no—
84#14519777C2311yescharacteristic
85#14519777C2311yescharacteristic
86#14519776—21no—
87#14519776C2×C412yes—
88#14519775—21no—
89#14519770—22no—
90#14519770—22no—
91#14519769C2×C412yes—
92#14519768C2×C412yes—
93#14519764—22no—
94#14519764—21no—
95#14519764—21no—
96#14519763—22no—
97#14519760—22no—
98#14519758—22no—
99#14519757—21no—
100#14519756—21no—
101#14519756—21no—
102#14519756—22no—
103#14519754—22no—
104#14519754—22no—
105#14519753—21no—
106#14519750—22no—
107#14519749—22no—
108#14519748—22no—
109#14519748—21no—
110#14519748—21no—
111#14519748C2×C412yes—
112#14519748C2×C412yes—
113Q8×Dic61—21no—
114C4×Dic122—21no—
115C4×Dic122—21no—
116C4×Dic122C2×C411yescharacteristic
117C4×Dic122D411yescharacteristic
118#14519742—21no—
119C4×D244C2×C411yescharacteristic
120C4×D244D411yescharacteristic
121D4×Dic61—21no—
122D4×Dic61—21no—
123D4×Dic61C2×C412yes—
124D4×Dic61C2×C412yes—
125C4×C22⋊D61—22no—
126C4×C22⋊D61C2×C411yescharacteristic
127C4×C22⋊D61C2×C411yescharacteristic
128C4×C22⋊D61D411yescharacteristic
129C4×C22⋊D61D411yescharacteristic
130#14519737—22no—
131#14519736C2×C412yes—
132#14519736D411yescharacteristic
133#14519735C2×C412yes—
134#14519734D411yescharacteristic
135#14519734D411yescharacteristic
136#14519733—22no—
137C2×#11758196—22no—
138C4⋊C4×D61—21no—
139C4⋊C4×D61C2×C412yes—
140C42×D61C2311yescharacteristic
141C42×D61C2311yescharacteristic
142C4⋊#92418—21no—
143C4⋊#92418—21no—
144C4⋊#92418C2311yescharacteristic
145C4⋊#92418C2311yescharacteristic
146C4⋊#92418C2311yescharacteristic
147C4⋊#92418C2311yescharacteristic
148#14519706—21no—
149#14519706—21no—
150#14519706—21no—
151#14519706—21no—
152#14519706—21no—
153#14519706—21no—
154#14519689—21no—
155#14519689—21no—
156#14519687—21no—
157C8×Dic61—21no—
158C2×#41×C61—21no—
159C2×M16×C61—21no—
160C4⋊Q8×C61C2311yescharacteristic
161#127×C61C2311yescharacteristic
162#124×C61—21no—
163#121×C61—21no—
164#121×C61C2×C412yes—
165C4×D4×C61—21no—
166C4×D4×C61C2×C412yes—
167C2×C42×C61C2311yescharacteristic
168C4⋊C8×C61—21no—
169C4⋊C8×C61C2311yescharacteristic
170C4⋊C8×C61C2311yescharacteristic
171C4⋊C8×C61C2311yescharacteristic
172C4⋊C8×C61C2311yescharacteristic
173C22⋊C8×C61—21no—
174#97×C61—21no—
175#41×C61—81no—
176#41×C61—81no—
177C2×Q8×C61—21no—
178C2×D4×C61—22no—
179C2×D4×C61—21no—
180C2×D4×C61—21no—
181C2×D4×C61C22×C412yes—
182C22×C4×C61—22no—
183C22×C4×C61C22×C411yescharacteristic
184C22×C4×C61C2×D411yescharacteristic
185C22×C4×C61C2×D411yescharacteristic
186C2×C22⋊D61—22no—
187C2×C22⋊D61—22no—
188C2×C22⋊D61C22⋊C411yescharacteristic
189C2×C22⋊D61C22⋊C411yescharacteristic
190C22×Dic61—22no—
191C22×Dic61—22no—
192Q8×D61—81no—
193Q8×D61—81no—
194#11758224—42no—
195#11758224—42no—
196#11758224—81no—
197#11758224—81no—
198#11758222—22no—
199#11758222—22no—
200C2×D244C22⋊C411yescharacteristic
201C2×C4×D61—22no—
202C2×C4×D61C22×C411yescharacteristic
203C2×C4×D61C22×C411yescharacteristic
204C2×C4×D61C2×D411yescharacteristic
205C2×C4×D61C2×D411yescharacteristic
206C2×C4×D61C2×D411yescharacteristic
207C2×C4×D61C2×D411yescharacteristic
208C2×Dic122—21no—
209C2×Dic122—21no—
210C2×Dic122—22no—
211C2×Dic122C22⋊C411yescharacteristic
212M16×C61—42no—
213C2×C8×C61—21no—
214C2×C8×C61—21no—
215C2×C8×C61—21no—
216C2×C8×C61—21no—
217C4⋊C4×C61—21no—
218C4⋊C4×C61C22×C412yes—
219C22⋊C4×C61—22no—
220C22⋊C4×C61—22no—
221C42×C61C22×C411yescharacteristic
222C42×C61C2×D411yescharacteristic
223C42×C61C2×D411yescharacteristic
224C42×C61C2411yescharacteristic
225C22⋊Dic61—22no—
226C22⋊Dic61—22no—
227C22⋊Dic61—22no—
228C22⋊Dic61—22no—
229C22⋊Dic61—22no—
230C22⋊Dic61C22⋊C411yescharacteristic
231C22⋊Dic61C22⋊C411yescharacteristic
232#11758198—22no—
233#11758198C22⋊C411yescharacteristic
234#11758198C22⋊C411yescharacteristic
235#11758198C22⋊C411yescharacteristic
236#11758198C22⋊C411yescharacteristic
237C4⋊Dic61—21no—
238C4⋊Dic61—21no—
239C4⋊Dic61—22no—
240C4⋊Dic61C22⋊C411yescharacteristic
241C4⋊Dic61C22⋊C411yescharacteristic
242C4⋊Dic61C22×C412yes—
243C4⋊Dic61C22×C412yes—
244#11758196—22no—
245#11758196—22no—
246#11758196—22no—
247#11758196—22no—
248#11758196—22no—
249#11758196C22⋊C411yescharacteristic
250#11758196C22⋊C411yescharacteristic
251#11758196C22⋊C411yescharacteristic
252#11758196C22⋊C411yescharacteristic
253C4×Dic61—22no—
254C4×Dic61—22no—
255C4×Dic61C22×C411yescharacteristic
256C4×Dic61C22×C411yescharacteristic
257C4×Dic61C2×D411yescharacteristic
258C4×Dic61C2×D411yescharacteristic
259C4×Dic61C2×D411yescharacteristic
260C4×Dic61C2×D411yescharacteristic
261#11758194—81no—
262C2×#92418—21no—
263C2×#92418—21no—
264C2×#92418—21no—
265C2×#92418—21no—
266C2×#92418—42no—
267#11758189—42no—
268#11758189—42no—
269#11758189—81no—
270C8×D61—42no—
271C8×D61—42no—
272C8×D61—81no—
273C23×C61—22no—
274C23×C61C2×C22⋊C411yescharacteristic
275C22×D61C2×C22⋊C411yescharacteristic
276C22×D61C2×C22⋊C411yescharacteristic
277Q8×C61—41no—
278Q8×C61—41no—
279D4×C61—42no—
280D4×C61—41no—
281D4×C61—41no—
282D4×C61—41no—
283D4×C61—41no—
284D4×C61—82no—
285C2×C4×C61—21no—
286C2×C4×C61—21no—
287C2×C4×C61—21no—
288C2×C4×C61—21no—
289C2×C4×C61—22no—
290C2×C4×C61—41no—
291C2×C4×C61—82no—
292C2×C4×C61C2×C22⋊C411yescharacteristic
293C2×C4×C61C2×C22⋊C411yescharacteristic
294C2×C4×C61C2×C22⋊C411yescharacteristic
295C2×C4×C61C23×C411yescharacteristic
296C2×C4×C61C22×D411yescharacteristic
297C2×C4×C61C22×D411yescharacteristic
298C22⋊D61—22no—
299C22⋊D61—22no—
300C22⋊D61—44no—
301C22⋊D61—82no—
302C2×Dic61—22no—
303C2×Dic61—22no—
304C2×Dic61—44no—
305C2×Dic61—82no—
306C2×Dic61C2×C22⋊C411yescharacteristic
307C2×Dic61C2×C22⋊C411yescharacteristic
308C2×Dic61C2×C22⋊C411yescharacteristic
309C2×Dic61C2×C22⋊C411yescharacteristic
310C2×Dic61C2×C22⋊C411yescharacteristic
311C2×Dic61C2×C22⋊C411yescharacteristic
312D244—22no—
313C4×D61—21no—
314C4×D61—21no—
315C4×D61—21no—
316C4×D61—21no—
317C4×D61—21no—
318C4×D61—21no—
319C4×D61—41no—
320C4×D61—41no—
321C4×D61—82no—
322C4×D61AGL(1,ℤ/8)12yes—
323C4×D61#13712yes—
324Dic122—22no—
325Dic122—41no—
326Dic122—41no—
327Dic122—41no—
328Dic122—41no—
329Dic122—82no—
330C8×C61—41no—
331C8×C61—41no—
332C8×C61—41no—
333C8×C61—41no—
334#92418—41no—
335#92418—41no—
336#92418—41no—
337#92418—41no—
338#17765—611nomaximal, Sylow
339C22×C61—21no—
340C22×C61—21no—
341C22×C61—21no—
342C22×C61—42no—
343C22×C61—42no—
344C22×C61—42no—
345C22×C61C22×C22⋊C411yescharacteristic
346C2×D61—21no—
347C2×D61—21no—
348C2×D61—21no—
349C2×D61—21no—
350C2×D61—21no—
351C2×D61#41712yes—
352C4×C61—21no—
353C4×C61—21no—
354C4×C61—21no—
355C4×C61—21no—
356C4×C61—42no—
357C4×C61C2×AGL(1,ℤ/8)11yescharacteristic
358C4×C61C2×#13711yescharacteristic
359C4×C61#57611yescharacteristic
360C4×C61#57711yescharacteristic
361Dic61—21no—
362Dic61—21no—
363Dic61—21no—
364Dic61—21no—
365Dic61—21no—
366Dic61—42no—
367Dic61—42no—
368Dic61#41712yes—
369#3511—611no—
370#2989—611no—
371#2906—611no—
372#1561—611no—
373#1561—611no—
374#1557—611no—
375#1557D6111yescharacteristic, complemented
376#1552—611no—
377#1552—611no—
378#1549—611no—
379#1547—611no—
380#1547—611no—
381#1547—611no—
382#1540—611no—
383C2×#332—611no—
384C2×C61—41no—
385C2×C61—82no—
386C2×C61#288911yescharacteristic
387C2×C61C2×#41711yescharacteristic
388C2×C61#289711yescharacteristic
389D61—22no—
390D61—41no—
391C2×#131—1221no—
392#556—1221no—
393#555—612no—
394#554—612no—
395#553—612no—
396#553—612no—
397#548—1221no—
398#548—1221no—
399#547—1221no—
400#542—1221no—
401#542—1221no—
402#537—1221no—
403#533—611no—
404#533—611no—
405#532—611no—
406#532—611no—
407#532C2×D6111yescharacteristic
408C2×C4⋊Q8—611no—
409#520—1221no—
410C4×#41—611no—
411#446—1221no—
412#436—1221no—
413#435—1221no—
414#435—1221no—
415#432—611no—
416#432C2×D6111yescharacteristic
417#431—611no—
418#424—1221no—
419#424—1221no—
420#424—1221no—
421#423—611no—
422#423—611no—
423#423—611no—
424#423—611no—
425#423C2×D6111yescharacteristic
426C2×C4⋊C8—611no—
427C2×C4⋊C8—611no—
428C2×C4⋊C8—611no—
429C2×C4⋊C8—611no—
430#332—611no—
431#332—611no—
432#332—611no—
433#332—611no—
434#332—611no—
435#332—611no—
436#332—611no—
437#332—611no—
438#332—611no—
439#332—611no—
440#332C2×D6111yescharacteristic
441#332C2×D6111yescharacteristic
442#331—611no—
443#331—611no—
444#331C2×D6111yescharacteristic
445#331C2×D6111yescharacteristic
446C61#1776511yescharacteristic, complemented, Sylow
447C2×#41—21no—
448C2×#41—611no—
449C2×#41—1221no—
450C2×#41—1221no—
451C22×Q8—1221no—
452#131—2444no—
453C2×M16—21no—
454C2×M16—1221no—
455C2×M16—1221no—
456C2×M16—1221no—
457C2×M16—1221no—
458C22×C8—1221no—
459C22×C8—1221no—
460C22×C8—1221no—
461C22×C8—1221no—
462C4⋊Q8—612no—
463C4⋊Q8—611no—
464C4⋊Q8—611no—
465C4⋊Q8—1221no—
466C4⋊Q8—1221no—
467C4⋊Q8C22×D6111yescharacteristic
468#127C22×D6111yescharacteristic
469#126—1222no—
470#126—1222no—
471#125—612no—
472#125—612no—
473#124—21no—
474#124—1221no—
475#124—1221no—
476#124—1222no—
477#124—1222no—
478#123—1222no—
479#123—1222no—
480C22⋊Q8—1222no—
481C22⋊Q8—1222no—
482C22⋊Q8—1221no—
483C22⋊Q8—1222no—
484C22⋊Q8—1221no—
485C22⋊Q8—1221no—
486C22⋊Q8—1221no—
487#121—21no—
488#121—612no—
489#121—612no—
490#121—1222no—
491#121—1221no—
492#121—1221no—
493#121—1222no—
494#121—1222no—
495#121C4×D6112yes—
496C4×Q8—611no—
497C4×Q8—611no—
498C4×Q8—1221no—
499C4×Q8—1221no—
500C4×Q8—1221no—
501C4×Q8—1221no—
502C4×D4—21no—
503C4×D4—611no—
504C4×D4—611no—
505C4×D4—611no—
506C4×D4—611no—
507C4×D4—612no—
508C4×D4—612no—
509C4×D4—611no—
510C4×D4—611no—
511C4×D4—1221no—
512C4×D4—1221no—
513C4×D4—1222no—
514C4×D4—1222no—
515C4×D4C4×D6112yes—
516#117—611no—
517#117—611no—
518#117—611no—
519#117—612no—
520#117—612no—
521#117—1222no—
522C2×C4⋊C4—612no—
523C2×C4⋊C4—1221no—
524C2×C4⋊C4—1222no—
525C2×C42—611no—
526C2×C42—611no—
527C2×C42C22×D6111yescharacteristic
528C4⋊C8—21no—
529C4⋊C8—611no—
530C4⋊C8—611no—
531C4⋊C8—611no—
532C4⋊C8—611no—
533C4⋊C8—1221no—
534C4⋊C8—1221no—
535C4⋊C8—1221no—
536C4⋊C8—1221no—
537C4⋊C8—1221no—
538C4⋊C8—1221no—
539C4⋊C8—1221no—
540C4⋊C8—1221no—
541C4⋊C8C22×D6111yescharacteristic
542C4⋊C8C22×D6111yescharacteristic
543C4⋊C8C22×D6111yescharacteristic
544C4⋊C8C22×D6111yescharacteristic
545C22⋊C8—21no—
546C22⋊C8—1221no—
547C22⋊C8—1221no—
548#97—21no—
549#97—1221no—
550C4×C8—1221no—
551#41—81no—
552#41—81no—
553#41—1222no—
554#41—1222no—
555#41—4881no—
556#41—4881no—
557#41—2442no—
558#41—2442no—
559C2×Q8—21no—
560C2×Q8—611no—
561C2×Q8—1222no—
562C2×Q8—1221no—
563C2×Q8—1221no—
564C2×Q8—4881no—
565C2×Q8—4881no—
566C2×D4—22no—
567C2×D4—21no—
568C2×D4—21no—
569C2×D4—611no—
570C2×D4—611no—
571C2×D4—611no—
572C2×D4—1222no—
573C2×D4—1222no—
574C2×D4C2×C4×D6112yes—
575C22×C4—22no—
576C22×C4—611no—
577C22×C4—611no—
578C22×C4—611no—
579C22×C4—611no—
580C22×C4—611no—
581C22×C4—611no—
582C22×C4—1222no—
583C22×C4—1222no—
584C22×C4—1222no—
585C22×C4C2×C4×D6111yescharacteristic
586C22×C4D4×D6111yescharacteristic
587C22×C4D4×D6111yescharacteristic
588M16—42no—
589M16—4881no—
590M16—4881no—
591M16—2442no—
592M16—2442no—
593C2×C8—21no—
594C2×C8—21no—
595C2×C8—21no—
596C2×C8—21no—
597C2×C8—1221no—
598C2×C8—1221no—
599C2×C8—1221no—
600C2×C8—1221no—
601C2×C8—4881no—
602C2×C8—2442no—
603C2×C8—2442no—
604C2×C8—2442no—
605C4⋊C4—21no—
606C4⋊C4—611no—
607C4⋊C4—611no—
608C4⋊C4—611no—
609C4⋊C4—611no—
610C4⋊C4—611no—
611C4⋊C4—611no—
612C4⋊C4—612no—
613C4⋊C4—612no—
614C4⋊C4—1222no—
615C4⋊C4—1222no—
616C4⋊C4—1222no—
617C4⋊C4—1222no—
618C4⋊C4—1221no—
619C4⋊C4—1221no—
620C4⋊C4—1222no—
621C4⋊C4—1222no—
622C4⋊C4C2×C4×D6112yes—
623C22⋊C4—22no—
624C22⋊C4—22no—
625C22⋊C4—611no—
626C22⋊C4—611no—
627C22⋊C4—611no—
628C22⋊C4—611no—
629C22⋊C4—611no—
630C22⋊C4—611no—
631C22⋊C4—1222no—
632C22⋊C4—1222no—
633C22⋊C4—1222no—
634C22⋊C4—1222no—
635C22⋊C4—1222no—
636C22⋊C4—1222no—
637C42—611no—
638C42—611no—
639C42—611no—
640C42—611no—
641C42—611no—
642C42—611no—
643C42—1222no—
644C42—1222no—
645C42C2×C4×D6111yescharacteristic
646C42D4×D6111yescharacteristic
647C42D4×D6111yescharacteristic
648C42C23×D6111yescharacteristic
649C23—22no—
650C23—611no—
651C23—611no—
652C23C22⋊C4×D6111yescharacteristic
653Q8—41no—
654Q8—41no—
655Q8—1222no—
656Q8—4882no—
657Q8—2441no—
658Q8—2441no—
659Q8—2441no—
660Q8—2441no—
661D4—42no—
662D4—41no—
663D4—41no—
664D4—41no—
665D4—41no—
666D4—82no—
667D4—1222no—
668D4—1222no—
669D4—1222no—
670D4—4882no—
671D4—2444no—
672C2×C4—21no—
673C2×C4—21no—
674C2×C4—21no—
675C2×C4—21no—
676C2×C4—22no—
677C2×C4—41no—
678C2×C4—82no—
679C2×C4—611no—
680C2×C4—612no—
681C2×C4—612no—
682C2×C4—611no—
683C2×C4—611no—
684C2×C4—611no—
685C2×C4—611no—
686C2×C4—611no—
687C2×C4—1221no—
688C2×C4—1221no—
689C2×C4—1221no—
690C2×C4—1221no—
691C2×C4—1221no—
692C2×C4—1221no—
693C2×C4—1222no—
694C2×C4—1222no—
695C2×C4—4882no—
696C2×C4—4882no—
697C2×C4—2441no—
698C2×C4—2441no—
699C2×C4—2444no—
700C2×C4C22⋊C4×D6111yescharacteristic
701C2×C4C22⋊C4×D6111yescharacteristic
702C2×C4C22⋊C4×D6111yescharacteristic
703C2×C4C22×C4×D6111yescharacteristic
704C2×C4C2×D4×D6111yescharacteristic
705C2×C4C2×D4×D6111yescharacteristic
706C8—41no—
707C8—41no—
708C8—41no—
709C8—41no—
710C8—2441no—
711C8—2441no—
712C8—2441no—
713C8—2441no—
714C22—21no—
715C22—21no—
716C22—21no—
717C22—42no—
718C22—42no—
719C22—42no—
720C22—612no—
721C22—1221no—
722C22—1221no—
723C22—1221no—
724C22—1221no—
725C22—1221no—
726C22C2×C22⋊C4×D6111yescharacteristic
727C4—21no—
728C4—21no—
729C4—21no—
730C4—21no—
731C4—42no—
732C4—612no—
733C4—1221no—
734C4—1221no—
735C4—1221no—
736C4—1221no—
737C4—1221no—
738C4—2442no—
739C4—2442no—
740C4AGL(1,ℤ/8)×D6111yescharacteristic
741C4#137×D6111yescharacteristic
742C4#1684056611yescharacteristic
743C4#1684057211yescharacteristic
744C2—41no—
745C2—82no—
746C2—1222no—
747C2—2441no—
748C2#2145430011yescharacteristic
749C2#417×D6111yescharacteristic
750C2#2145434411yescharacteristic
subgroupG/H
centerC22C2×C22⋊C4×D61
commutatorC2×C4×C61C23×C4
FrattiniC42C23×D61
FittingC61×#1557C2
socleC22×C61C22×C22⋊C4
prime radical#21459720C2
cosocleC42×C61C24
hypercenter#1557D61
hypocenterC61#17765
LCSG ▷ C2×C4×C61 ▷ C22×C61 ▷ C61
UCSC1 ◁ C22 ◁ C2×C42 ◁ #1557

Complements

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

NH ≅ G/Ntype
2. #21454938C2semidirect
3. #21454388C2semidirect
4. #21444556C2semidirect
5. #21444555C2semidirect
6. #21444538C2semidirect
7. #21444520C2semidirect
8. #21444516C2semidirect
9. #21444502C2semidirect
10. #21444496C2semidirect
11. #21444493C2semidirect
12. #21444493C2semidirect
13. #21444465C2semidirect
14. #332×D61C2semidirect
15. C61×#1557C2semidirect
375. #1557D61semidirect
446. C61#17765semidirect

Maximal subgroups

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

subgroupindex
#214597202
#214549382
#214543882
#214445562
#214445552
#214445382
#214445202
#214445162
#214445022
#214444962
#214444932
#214444652
#332×D612
C61×#15572
#1776561