Finite Group Databasebeta

← #30622368

Subgroups — #30622368

Order 15616.

778 conjugacy classes of subgroups.

The subgroup lattice has 744 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21462352C211yesmaximal, characteristic, complemented
2#21462340C211yesmaximal, characteristic
3#21462003C211yesmaximal, characteristic, complemented
4#21461932C211yesmaximal, characteristic, complemented
5#21461911C211yesmaximal, characteristic
6#21461909C211yesmaximal, characteristic
7#21461897C211yesmaximal, characteristic
8#21461896C211yesmaximal, characteristic
9#21461883C211yesmaximal, characteristic, complemented
10#21461880C211yesmaximal, characteristic, complemented
11#21461634C211yesmaximal, characteristic, complemented
12#107×#6923C211yesmaximal, characteristic, complemented
13#21461620C211yesmaximal, characteristic, complemented
14#21461589C211yesmaximal, characteristic
15#474×D61C211yesmaximal, characteristic
16C2×#14519846C2211yescharacteristic
17C2×#14519845C2211yescharacteristic
18C2×#14519839C2211yescharacteristic
19C2×#14519839C2211yescharacteristic
20#16840721C2211yescharacteristic
21C2×#14519831C2211yescharacteristic
22C2×C8×#6923C2211yescharacteristic
23(C2×#6923)⋊Q8—21no—
24(C2×#6923)⋊Q8—21no—
25#16840714C2211yescharacteristic
26#16840714C2211yescharacteristic
27#16840713—21no—
28#16840713C2211yescharacteristic
29#16840713C2211yescharacteristic
30#16840712—21no—
31#16840712—21no—
32#16840706C2211yescharacteristic
33#16840705—21no—
34C4⋊C4×#6923—21no—
35C4⋊C4×#6923C2211yescharacteristic
36C4⋊C4×#6923C2211yescharacteristic
37C4⋊C4×#6923C2211yescharacteristic
38C4⋊C4×#6923C2211yescharacteristic
39C4×C4⋊#6923C2211yescharacteristic
40C4×C4⋊#6923C2211yescharacteristic
41C4×C22⋊#6923—21no—
42#16840636C2211yescharacteristic
43#16840636C2211yescharacteristic
44#16840635C2211yescharacteristic
45#16840635C2211yescharacteristic
46#16840635C2211yescharacteristic
47#16840635C2211yescharacteristic
48#16840635C2211yescharacteristic
49#16840635C2211yescharacteristic
50(C2×#6923)⋊C8C2211yescharacteristic
51(C2×#6923)⋊C8C2211yescharacteristic
52C4⋊Q8×D61C2211yescharacteristic
53C4×D4×D61C2211yescharacteristic
54#16840043C411yescharacteristic, complemented
55#16840042C411yescharacteristic, complemented
56#16840041C411yescharacteristic, complemented
57#16840041C411yescharacteristic, complemented
58#16840040C411yescharacteristic, complemented
59#16840040C411yescharacteristic, complemented
60#16840039C411yescharacteristic, complemented
61#107×D61C2211yescharacteristic
62#107×D61C2211yescharacteristic
63C4⋊C8×D61C2211yescharacteristic
64#102×D61C2211yescharacteristic
65#102×D61C2211yescharacteristic
66C61×#474C411yescharacteristic, complemented
67C2×D61⋊C8C2311yescharacteristic
68C2×D61⋊C8C2311yescharacteristic
69C2×C4⋊#6923—21no—
70C2×C4⋊#6923—21no—
71C2×C4⋊#6923D411yescharacteristic
72C2×C4⋊#6923D411yescharacteristic
73C2×C4⋊#6923C2311yescharacteristic
74C2×C4⋊#6923C2311yescharacteristic
75C2×C4⋊#6923C2311yescharacteristic
76C2×C4⋊#6923C2311yescharacteristic
77C2×C22⋊#6923—21no—
78C2×C22⋊#6923—21no—
79C2×C22⋊#6923—21no—
80C2×C22⋊#6923—21no—
81C2×C4×#6923—21no—
82C2×C4×#6923—21no—
83C2×C4×#6923—21no—
84C2×C4×#6923—21no—
85C2×C4×#6923—21no—
86C2×C4×#6923C2311yescharacteristic
87C2×C4×#6923C2311yescharacteristic
88#14519846—22no—
89#14519845—22no—
90#14519839—22no—
91#14519839—22no—
92#14519832—21no—
93#14519832—21no—
94#14519831—22no—
95C8×#6923—22no—
96(C2×#6923)⋊C4—21no—
97(C2×#6923)⋊C4—21no—
98(C2×#6923)⋊C4—21no—
99(C2×#6923)⋊C4—21no—
100(C2×#6923)⋊C4—21no—
101(C2×#6923)⋊C4—21no—
102(C2×#6923)⋊C4—21no—
103(C2×#6923)⋊C4—21no—
104(C2×#6923)⋊C4—21no—
105(C2×#6923)⋊C4D411yescharacteristic
106(C2×#6923)⋊C4D411yescharacteristic
107C2×Q8×D61—21no—
108C2×D4×D61C2311yescharacteristic
109C22×C4×D61—21no—
110C2×C8×D61C2311yescharacteristic
111C2×C8×D61C2311yescharacteristic
112#14519777C2×C411yescharacteristic
113#14519776—21no—
114#14519776C2×C411yescharacteristic
115#14519776C2×C411yescharacteristic
116#14519775—21no—
117C4×D244C2×C411yescharacteristic
118D4×Dic61C2×C411yescharacteristic
119#14519739C2×C411yescharacteristic
120C4×C22⋊D61—21no—
121#14519737—21no—
122C4⋊C4×D61—21no—
123C4⋊C4×D61C2311yescharacteristic
124C4⋊C4×D61C2311yescharacteristic
125C4⋊C4×D61C2311yescharacteristic
126C22⋊C4×D61—21no—
127C42×D61C2311yescharacteristic
128#14519711C2×C411yescharacteristic
129#14519711C2×C411yescharacteristic
130#14519710C2×C411yescharacteristic
131#14519710C2×C411yescharacteristic
132#14519710C2×C411yescharacteristic
133#14519710C2×C411yescharacteristic
134C4⋊#92418C2×C411yescharacteristic
135#14519706C2×C411yescharacteristic
136#14519706C2×C411yescharacteristic
137#14519699C2×C411yescharacteristic
138#14519699C2×C411yescharacteristic
139#14519698C2×C411yescharacteristic
140#14519698C2×C411yescharacteristic
141#14519697C2×C411yescharacteristic
142#14519697C2×C411yescharacteristic
143C4⋊Q8×C61C2×C411yescharacteristic
144C4×D4×C61C2×C411yescharacteristic
145#107×C61C2×C411yescharacteristic
146#107×C61C2×C411yescharacteristic
147C4⋊C8×C61C2×C411yescharacteristic
148#102×C61C2×C411yescharacteristic
149#102×C61C2×C411yescharacteristic
150C23×D61—21no—
151C22×#6923—21no—
152C22×#6923—21no—
153C22×#6923—21no—
154C22×#6923—21no—
155C22×#6923C2×D411yescharacteristic
156C22×#6923C2×D411yescharacteristic
157C22×#6923C2×D411yescharacteristic
158C22×#6923C2×D411yescharacteristic
159C2×Q8×C61—21no—
160C2×D4×C61C22×C411yescharacteristic
161C22×C4×C61—21no—
162C2×C22⋊D61—21no—
163C22×Dic61—21no—
164Q8×D61—81no—
165Q8×D61—81no—
166D4×D61—21no—
167D4×D61—21no—
168D4×D61—21no—
169D4×D61—21no—
170C2×D244C22×C411yescharacteristic
171C2×C4×D61—21no—
172C2×C4×D61—21no—
173C2×C4×D61—21no—
174C2×C4×D61—21no—
175C2×C4×D61—21no—
176C2×C4×D61—81no—
177C2×C4×D61—81no—
178C2×C4×D61C2×D411yescharacteristic
179C2×C4×D61C2×D411yescharacteristic
180C2×C4×D61C2411yescharacteristic
181C2×Dic122—21no—
182C2×Dic122—21no—
183C2×Dic122—21no—
184C22⋊#6923—42no—
185C22⋊#6923—42no—
186C22⋊#6923—81no—
187C22⋊#6923—81no—
188C2×#92420—21no—
189C2×#92420—21no—
190C4⋊#6923—22no—
191C4⋊#6923—21no—
192C4⋊#6923—21no—
193C4⋊#6923—21no—
194C4⋊#6923—21no—
195C4⋊#6923—21no—
196C4⋊#6923—21no—
197C4⋊#6923—21no—
198C4⋊#6923—41no—
199C4⋊#6923—81no—
200C4⋊#6923—81no—
201C4⋊#6923#4112yes—
202C4×#6923—21no—
203C4×#6923—21no—
204C4×#6923—21no—
205C4×#6923—21no—
206C4×#6923—42no—
207C4×#6923—81no—
208C4×#6923—81no—
209C4×#6923—81no—
210C4×#6923—81no—
211D61⋊C8—21no—
212D61⋊C8—21no—
213D61⋊C8—21no—
214D61⋊C8#4112yes—
215C2×C8×C61C22×C411yescharacteristic
216C2×C8×C61C22×C411yescharacteristic
217C4⋊C4×C61—21no—
218C4⋊C4×C61C22×C411yescharacteristic
219C4⋊C4×C61C22×C411yescharacteristic
220C4⋊C4×C61C22×C411yescharacteristic
221C22⋊C4×C61—21no—
222C42×C61C22×C411yescharacteristic
223C22⋊Dic61—21no—
224#11758198—21no—
225#11758198—21no—
226C4⋊Dic61—21no—
227C4⋊Dic61C22×C411yescharacteristic
228C4⋊Dic61C22×C411yescharacteristic
229C4⋊Dic61C22×C411yescharacteristic
230#11758196—21no—
231#11758196—21no—
232#11758196—21no—
233#11758196—21no—
234#11758196—21no—
235C4×Dic61C22×C411yescharacteristic
236C4×Dic61#4111yescharacteristic
237C4×Dic61#4111yescharacteristic
238C2×#92418C22×C411yescharacteristic
239C2×#92418C22×C411yescharacteristic
240C8×D61—21no—
241C8×D61—21no—
242C8×D61—21no—
243C8×D61—21no—
244C23×C61—21no—
245C22×D61—21no—
246C22×D61—41no—
247C22×D61—41no—
248C22×D61—41no—
249C22×D61—41no—
250C22×D61—41no—
251C22×D61—41no—
252C22×D61C22×D411yescharacteristic
253C2×#6923—21no—
254C2×#6923—21no—
255C2×#6923—21no—
256C2×#6923—21no—
257C2×#6923—21no—
258C2×#6923—22no—
259C2×#6923—21no—
260C2×#6923—21no—
261C2×#6923—21no—
262C2×#6923—21no—
263C2×#6923—21no—
264C2×#6923—21no—
265C2×#6923—41no—
266C2×#6923—41no—
267C2×#6923—41no—
268C2×#6923—41no—
269C2×#6923—41no—
270C2×#6923—41no—
271C2×#6923—41no—
272C2×#6923—41no—
273C2×#6923—41no—
274C2×#6923—41no—
275C2×#6923—41no—
276C2×#6923#13712yes—
277Q8×C61—81no—
278D4×C61—21no—
279D4×C61—21no—
280C2×C4×C61—21no—
281C2×C4×C61—21no—
282C2×C4×C61—21no—
283C2×C4×C61—81no—
284C2×C4×C61C4×D411yescharacteristic
285C2×C4×C61C4×D411yescharacteristic
286C2×C4×C61C23×C411yescharacteristic
287C22⋊D61—41no—
288C22⋊D61—41no—
289C2×Dic61—21no—
290C2×Dic61—21no—
291C2×Dic61—21no—
292C2×Dic61—81no—
293C2×Dic61C4×D411yescharacteristic
294C2×Dic61C4×D411yescharacteristic
295C2×Dic61C2×#4111yescharacteristic
296D244—21no—
297D244—21no—
298C4×D61—21no—
299C4×D61—21no—
300C4×D61—21no—
301C4×D61—21no—
302C4×D61—41no—
303C4×D61—41no—
304C4×D61—41no—
305C4×D61—41no—
306C4×D61—41no—
307C4×D61—41no—
308C4×D61—81no—
309C4×D61—81no—
310C4×D61C2×#4111yescharacteristic
311C4×D61C2×#4111yescharacteristic
312C4×D612−1+411yescharacteristic
313C4×D612−1+411yescharacteristic
314Dic122—81no—
315Dic122—81no—
316Dic122—81no—
317#92420—22no—
318#92420—41no—
319C8×C61—21no—
320C8×C61—21no—
321#92418—21no—
322#92418—21no—
323#23079—611nomaximal, Sylow
324C22×C61—41no—
325C22×C61—41no—
326C22×C61—41no—
327C22×C61C2×C4×D411yescharacteristic
328C2×D61—41no—
329C2×D61—41no—
330C2×D61—41no—
331C2×D61—81no—
332C2×D61—81no—
333C2×D61—81no—
334C2×D61—81no—
335C2×D61#54711yescharacteristic
336C2×D61#54811yescharacteristic
337C2×D61C2×#13711yescharacteristic
338C2×D61#57511yescharacteristic
339C2×D61#57611yescharacteristic
340C2×D61#57611yescharacteristic
341#6923—22no—
342#6923—41no—
343#6923—41no—
344#6923—41no—
345#6923—42no—
346#6923—81no—
347#6923—81no—
348#6923—81no—
349C4×C61—21no—
350C4×C61—21no—
351C4×C61—41no—
352C4×C61—41no—
353C4×C61—41no—
354C4×C61C4×#4111yescharacteristic
355C4×C61#51911yescharacteristic
356Dic61—21no—
357Dic61—21no—
358Dic61—41no—
359Dic61—41no—
360Dic61—41no—
361Dic61#55211yescharacteristic
362Dic61#55611yescharacteristic
363C2×#474—611no—
364#2369—611no—
365#2357—611no—
366#1993—611no—
367#1949—611no—
368#1936—611no—
369#1934—611no—
370#1926—611no—
371#1925—611no—
372#1921—611no—
373#1918—611no—
374#1776—611no—
375C4×#107—611no—
376#1771—611no—
377#1762—611no—
378C2×C61—81no—
379C2×C61#236211yescharacteristic
380C2×C61C4×#13711yescharacteristic
381C2×C61#294811yescharacteristic
382D61—81no—
383D61#334611yescharacteristic
384D61#334711yescharacteristic
385D61#337011yescharacteristic
386D61#337511yescharacteristic
387C2×C4⋊Q8—611no—
388C2×C4×D4—611no—
389#474—611no—
390#474—611no—
391#474—611no—
392#474—611no—
393#474—611no—
394#474—611no—
395#474—611no—
396#474#692311yescharacteristic, complemented
397C2×#107—611no—
398C2×#107—611no—
399C2×#107—611no—
400C2×#106—611no—
401C2×C4⋊C8—611no—
402C2×#102—611no—
403C2×#102—611no—
404C2×#102—611no—
405C2×#102—611no—
406C2×#97—611no—
407C2×#97—611no—
408C2×C4×C8—611no—
409#391—1221no—
410#391—1221no—
411#390—611no—
412#390—611no—
413#389—611no—
414#389—611no—
415#389—1221no—
416#388—1221no—
417#388—1221no—
418#382—611no—
419#381—1221no—
420C4×C4⋊C4—611no—
421C4×C4⋊C4—611no—
422C4×C4⋊C4—611no—
423C4×C4⋊C4—611no—
424C4×C4⋊C4—611no—
425C4×C4⋊C4—611no—
426C4×C4⋊C4—1221no—
427C4×C22⋊C4—1221no—
428#340—611no—
429#340—611no—
430#340—611no—
431#340—611no—
432#340—611no—
433#340—611no—
434#340—611no—
435#340—611no—
436#336—611no—
437#336—611no—
438C61#2307911yescharacteristic, complemented, Sylow
439C22×Q8—1221no—
440C22×D4—611no—
441C23×C4—1221no—
442C22×C8—611no—
443C22×C8—611no—
444C22×C8—611no—
445C22×C8—611no—
446C4⋊Q8—611no—
447C4⋊Q8—611no—
448C4⋊Q8—611no—
449C4⋊Q8—1221no—
450C4⋊Q8—1221no—
451C4⋊Q8C2×#692311yescharacteristic
452C4×D4—611no—
453C4×D4—611no—
454C4×D4—611no—
455C4×D4—1221no—
456C4×D4—1221no—
457C4×D4C2×#692311yescharacteristic
458C2×C4⋊C4—611no—
459C2×C4⋊C4—611no—
460C2×C4⋊C4—611no—
461C2×C4⋊C4—611no—
462C2×C4⋊C4—611no—
463C2×C4⋊C4—611no—
464C2×C4⋊C4—611no—
465C2×C4⋊C4—611no—
466C2×C4⋊C4—611no—
467C2×C4⋊C4—1221no—
468C2×C4⋊C4—1221no—
469C2×C4⋊C4—1221no—
470C2×C22⋊C4—1221no—
471C2×C22⋊C4—1221no—
472C2×C22⋊C4—1221no—
473C2×C22⋊C4—1221no—
474C2×C22⋊C4—1221no—
475C2×C42—611no—
476C2×C42—611no—
477C2×C42—611no—
478C2×C42—1221no—
479C2×C42—1221no—
480C2×C42—1221no—
481C2×C42—1221no—
482C2×C42—1221no—
483#107—611no—
484#107—611no—
485#107—611no—
486#107—611no—
487#107—611no—
488#107—611no—
489#107—1222no—
490#107C2×#692311yescharacteristic
491#107C2×#692311yescharacteristic
492#106—1222no—
493C4⋊C8—611no—
494C4⋊C8—611no—
495C4⋊C8—611no—
496C4⋊C8C2×#692311yescharacteristic
497#102—611no—
498#102—611no—
499#102—611no—
500#102—611no—
501#102—611no—
502#102—611no—
503#102—1222no—
504#102—1222no—
505#102C2×#692311yescharacteristic
506#102C2×#692311yescharacteristic
507#97—1221no—
508#97—1221no—
509#97—1222no—
510C4×C8—1222no—
511#95—611no—
512#95—611no—
513#95—1221no—
514#95—1221no—
515#95—1221no—
516#95—1221no—
517#95—1221no—
518#95—1221no—
519#95—1221no—
520#95—1221no—
521#95—1221no—
522C24—1221no—
523C2×Q8—21no—
524C2×Q8—1221no—
525C2×Q8—1221no—
526C2×Q8—1221no—
527C2×Q8—4881no—
528C2×Q8—4881no—
529C2×D4—611no—
530C2×D4—1221no—
531C2×D4—1221no—
532C2×D4—1221no—
533C2×D4—1221no—
534C2×D4—1221no—
535C2×D4C22×#692311yescharacteristic
536C22×C4—21no—
537C22×C4—611no—
538C22×C4—611no—
539C22×C4—611no—
540C22×C4—611no—
541C22×C4—611no—
542C22×C4—611no—
543C22×C4—611no—
544C22×C4—1221no—
545C22×C4—1221no—
546C22×C4—1221no—
547C22×C4—1221no—
548C22×C4—1221no—
549C22×C4—1221no—
550C22×C4—1221no—
551C22×C4—1221no—
552C22×C4—1221no—
553C22×C4—1221no—
554C22×C4—4881no—
555C22×C4—4881no—
556C2×C8—612no—
557C2×C8—611no—
558C2×C8—611no—
559C2×C8—1221no—
560C2×C8—1221no—
561C2×C8—1221no—
562C2×C8—1221no—
563C2×C8—1221no—
564C2×C8—1221no—
565C2×C8—1221no—
566C2×C8—1221no—
567C2×C8—1221no—
568C2×C8C22×#692311yescharacteristic
569C2×C8C22×#692311yescharacteristic
570C4⋊C4—21no—
571C4⋊C4—612no—
572C4⋊C4—611no—
573C4⋊C4—611no—
574C4⋊C4—611no—
575C4⋊C4—1221no—
576C4⋊C4—1221no—
577C4⋊C4—1221no—
578C4⋊C4—1221no—
579C4⋊C4—1221no—
580C4⋊C4—1221no—
581C4⋊C4—1222no—
582C4⋊C4—1221no—
583C4⋊C4—1221no—
584C4⋊C4—1221no—
585C4⋊C4—1221no—
586C4⋊C4—1221no—
587C4⋊C4—1221no—
588C4⋊C4—1221no—
589C4⋊C4—4881no—
590C4⋊C4—4881no—
591C4⋊C4—2441no—
592C4⋊C4C22×#692311yescharacteristic
593C4⋊C4C22×#692311yescharacteristic
594C4⋊C4C22×#692311yescharacteristic
595C22⋊C4—21no—
596C22⋊C4—1221no—
597C22⋊C4—1221no—
598C22⋊C4—1221no—
599C22⋊C4—4881no—
600C22⋊C4—4881no—
601C22⋊C4—2442no—
602C22⋊C4—2442no—
603C42—611no—
604C42—611no—
605C42—611no—
606C42—1221no—
607C42—1221no—
608C42—1221no—
609C42—1221no—
610C42—4881no—
611C42—4881no—
612C42—4881no—
613C42—4881no—
614C42—2442no—
615C42C22×#692311yescharacteristic
616C23—21no—
617C23—611no—
618C23—1221no—
619C23—2441no—
620C23—2441no—
621C23—2441no—
622C23—2441no—
623C23—2441no—
624C23—2441no—
625Q8—81no—
626Q8—4881no—
627Q8—4881no—
628Q8—4881no—
629D4—21no—
630D4—21no—
631D4—1221no—
632D4—1221no—
633D4—2441no—
634D4—2441no—
635C2×C4—21no—
636C2×C4—21no—
637C2×C4—21no—
638C2×C4—81no—
639C2×C4—611no—
640C2×C4—611no—
641C2×C4—611no—
642C2×C4—611no—
643C2×C4—611no—
644C2×C4—612no—
645C2×C4—611no—
646C2×C4—611no—
647C2×C4—1221no—
648C2×C4—1221no—
649C2×C4—1221no—
650C2×C4—1221no—
651C2×C4—1221no—
652C2×C4—1221no—
653C2×C4—1221no—
654C2×C4—1221no—
655C2×C4—1221no—
656C2×C4—1221no—
657C2×C4—1221no—
658C2×C4—1221no—
659C2×C4—1221no—
660C2×C4—1222no—
661C2×C4—1221no—
662C2×C4—1221no—
663C2×C4—1221no—
664C2×C4—1221no—
665C2×C4—1221no—
666C2×C4—4881no—
667C2×C4—4881no—
668C2×C4—4881no—
669C2×C4—2441no—
670C2×C4—2441no—
671C2×C4—2441no—
672C2×C4—2441no—
673C2×C4—2441no—
674C2×C4—2441no—
675C2×C4—2441no—
676C2×C4—2441no—
677C2×C4—2441no—
678C2×C4—2441no—
679C2×C4—2441no—
680C2×C4—2441no—
681C2×C4—2441no—
682C2×C4—2441no—
683C2×C4—2441no—
684C2×C4—2441no—
685C2×C4—2441no—
686C2×C4D4×#692311yescharacteristic
687C2×C4D4×#692311yescharacteristic
688C2×C4C23×#692311yescharacteristic
689C8—21no—
690C8—21no—
691C8—1222no—
692C8—1221no—
693C8—1221no—
694C8—2441no—
695C22—41no—
696C22—41no—
697C22—41no—
698C22—611no—
699C22—611no—
700C22—611no—
701C22—611no—
702C22—611no—
703C22—611no—
704C22—4881no—
705C22—4881no—
706C22—4881no—
707C22—4881no—
708C22—2441no—
709C22—2441no—
710C22—2441no—
711C22C2×D4×#692311yescharacteristic
712C4—21no—
713C4—21no—
714C4—41no—
715C4—41no—
716C4—41no—
717C4—611no—
718C4—611no—
719C4—1222no—
720C4—1221no—
721C4—1221no—
722C4—4881no—
723C4—4881no—
724C4—4881no—
725C4—2441no—
726C4—2441no—
727C4—2441no—
728C4—2442no—
729C4—2441no—
730C4—2441no—
731C4—2441no—
732C4#41×#692311yescharacteristic
733C4#1684083011yescharacteristic
734C2—81no—
735C2—611no—
736C2—611no—
737C2—611no—
738C2—611no—
739C2—4881no—
740C2#2146234511yescharacteristic
741C2#137×#692311yescharacteristic
742C2#2146257811yescharacteristic
subgroupG/H
centerC22C2×D4×#6923
commutatorC2×C4×C61C23×C4
FrattiniC2×C4C23×#6923
FittingC61×#474C4
socleC22×C61C2×C4×D4
prime radicalC2×D4×D61C23
cosocleC2×C4×D61C24
hypercenter#474#6923
hypocenterC61#23079
LCSG ▷ C2×C4×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C22 ◁ C42 ◁ #474

Complements

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

NH ≅ G/Ntype
1. #21462352C2semidirect
3. #21462003C2semidirect
4. #21461932C2semidirect
9. #21461883C2semidirect
10. #21461880C2semidirect
11. #21461634C2semidirect
12. #107×#6923C2semidirect
13. #21461620C2semidirect
54. #16840043C4semidirect
55. #16840042C4semidirect
56. #16840041C4semidirect
57. #16840041C4semidirect
58. #16840040C4semidirect
59. #16840040C4semidirect
60. #16840039C4semidirect
66. C61×#474C4semidirect
396. #474#6923semidirect
438. C61#23079semidirect

Maximal subgroups

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

subgroupindex
#214623522
#214623402
#214620032
#214619322
#214619112
#214619092
#214618972
#214618962
#214618832
#214618802
#214616342
#107×#69232
#214616202
#214615892
#474×D612
#2307961