Finite Group Databasebeta

← #29732245

Subgroups — #29732245

Order 15616.

1164 conjugacy classes of subgroups.

The subgroup lattice has 748 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#16840296C211yesmaximal, characteristic
2C2×#16840001C211yesmaximal, characteristic, complemented
3C2×#16839993C211yesmaximal, characteristic
4#21447157C211yesmaximal, characteristic, complemented
5#21447060C211yesmaximal, characteristic, complemented
6#21446970C211yesmaximal, characteristic, complemented
7#21446912C211yesmaximal, characteristic, complemented
8#21446245C211yesmaximal, characteristic
9#21446240C211yesmaximal, characteristic, complemented
10#21446163C211yesmaximal, characteristic, complemented
11#21446156C211yesmaximal, characteristic, complemented
12#21446086C211yesmaximal, characteristic, complemented
13#21446065C211yesmaximal, characteristic, complemented
14C2×#16839517C211yesmaximal, characteristic, complemented
15C61×#2855C211yesmaximal, characteristic, complemented
16C22×#11758202C2211yescharacteristic
17C22×#11758201C2211yescharacteristic
18C23×#92418C2211yescharacteristic
19C23×#92418C2211yescharacteristic
20#16840296—24no—
21#16840296—24no—
22C2×#14519771—21no—
23C2×#14519769C2211yescharacteristic
24C2×#14519765C2211yescharacteristic
25C2×#14519760—21no—
26C2×#14519756C2211yescharacteristic
27C2×#14519751C2211yescharacteristic
28C2×C4×Dic122C2211yescharacteristic
29C2×C4×D244C2211yescharacteristic
30C2×C4×C22⋊D61—21no—
31C2×#14519734—21no—
32#16840001—24no—
33#16839993—24no—
34C2×#14519710C2211yescharacteristic
35C2×#14519708C2211yescharacteristic
36C2×#14519701C2211yescharacteristic
37C2×#14519701C2211yescharacteristic
38C2×#14519700C2211yescharacteristic
39C2×#14519700C2211yescharacteristic
40C2×#14519700C2211yescharacteristic
41C2×#14519697C2211yescharacteristic
42C2×#14519697C2211yescharacteristic
43C2×#14519697C2211yescharacteristic
44#16839524C2211yescharacteristic
45#16839524C2211yescharacteristic
46#16839524C2211yescharacteristic
47#16839524C2211yescharacteristic
48#16839517C2211yescharacteristic
49#16839517C2211yescharacteristic
50#16839517C2211yescharacteristic
51#16839517C2211yescharacteristic
52C2×C22⋊Q8×C61C2211yescharacteristic
53C22×C42×C61C2211yescharacteristic
54C61×#391C2211yescharacteristic
55C61×#391C2211yescharacteristic
56C61×#389C2211yescharacteristic
57C61×#389C2211yescharacteristic
58C61×#387—21no—
59C61×#387—21no—
60C61×#385—21no—
61C61×#381—21no—
62C61×#380C2211yescharacteristic
63C22×Dic122C2311yescharacteristic
64C22×D244C2311yescharacteristic
65C22×C22⋊D61—21no—
66C22×C4×D61—21no—
67C2×#11758202—22no—
68C2×#11758202—22no—
69C2×#11758202—41no—
70C2×#11758201—22no—
71C2×#11758201—22no—
72C2×#11758201—41no—
73C22×#92418—22no—
74C22×#92418—22no—
75C22×#92418—22no—
76C22×#92418—22no—
77C22×#92418—41no—
78C22×#92418—41no—
79C22×#92418C2311yescharacteristic
80C22×#92418C2311yescharacteristic
81C22×#92418C2311yescharacteristic
82C22×#92418C2311yescharacteristic
83#14519771—28no—
84#14519769—22no—
85#14519769—22no—
86#14519765—22no—
87#14519765—22no—
88#14519760—28no—
89#14519756—22no—
90#14519756D414yes—
91#14519751—22no—
92#14519751D414yes—
93C4×Dic122—22no—
94C4×Dic122—22no—
95C4×D244—22no—
96C4×D244—22no—
97C4×C22⋊D61—28no—
98#14519734—28no—
99C2×C4⋊Dic61C2311yescharacteristic
100C2×C4⋊Dic61C2311yescharacteristic
101C2×#11758196—21no—
102C2×#11758196—21no—
103C2×#11758196—21no—
104C2×#11758196—21no—
105C2×C22⋊Dic61—21no—
106C2×#11758198—21no—
107C2×#11758198—21no—
108C2×#11758198—21no—
109C2×#11758198—21no—
110C2×C4×Dic61—21no—
111#14519710—22no—
112#14519708—22no—
113#14519701—22no—
114#14519701—22no—
115#14519700—22no—
116#14519700—22no—
117#14519700—41no—
118#14519697—22no—
119#14519697—22no—
120#14519697—41no—
121C22×Q8×C61C2311yescharacteristic
122C23×C4×C61D411yescharacteristic
123C23×C4×C61D411yescharacteristic
124C23×C4×C61C2311yescharacteristic
125C22⋊Q8×C61—22no—
126C22⋊Q8×C61—22no—
127C2×C4⋊C4×C61—21no—
128C2×C4⋊C4×C61—21no—
129C2×C4⋊C4×C61—21no—
130C2×C4⋊C4×C61C2311yescharacteristic
131C2×C4⋊C4×C61C2311yescharacteristic
132C2×C4⋊C4×C61C2311yescharacteristic
133C2×C22⋊C4×C61—21no—
134C2×C22⋊C4×C61—21no—
135C2×C42×C61—22no—
136C2×C42×C61—22no—
137C2×C42×C61D411yescharacteristic
138C2×C42×C61D411yescharacteristic
139C2×C42×C61C2311yescharacteristic
140C2×C42×C61C2311yescharacteristic
141#95×C61—21no—
142#95×C61—21no—
143#95×C61—21no—
144#95×C61—21no—
145#95×C61—21no—
146#95×C61—21no—
147#95×C61—21no—
148C24×C61C2×D411yescharacteristic
149C23×D61—21no—
150C2×Q8×C61—21no—
151C2×Q8×C61—21no—
152C2×Q8×C61—21no—
153C2×Q8×C61—21no—
154C2×Q8×C61—21no—
155C2×Q8×C61—21no—
156C22×C4×C61—21no—
157C22×C4×C61—21no—
158C22×C4×C61—21no—
159C22×C4×C61—21no—
160C22×C4×C61—22no—
161C22×C4×C61—22no—
162C22×C4×C61—22no—
163C22×C4×C61—22no—
164C22×C4×C61—22no—
165C22×C4×C61—21no—
166C22×C4×C61—21no—
167C22×C4×C61—21no—
168C22×C4×C61—21no—
169C22×C4×C61—41no—
170C22×C4×C61C2×D411yescharacteristic
171C22×C4×C61C2×D411yescharacteristic
172C22×C4×C61C2×D411yescharacteristic
173C22×C4×C61C2×D411yescharacteristic
174C22×C4×C61C2×D412yes—
175C22×C4×C61C2×D412yes—
176C22×C4×C61C2×D411yescharacteristic
177C22×C4×C61C2411yescharacteristic
178C2×C22⋊D61—24no—
179C2×C22⋊D61—42no—
180C2×C22⋊D61—42no—
181C22×Dic61—21no—
182C22×Dic61—21no—
183C22×Dic61—21no—
184C2×D244—21no—
185C2×D244—21no—
186C2×D244—21no—
187C2×D244—21no—
188C2×D244—21no—
189C2×D244C2×D412yes—
190C2×C4×D61—24no—
191C2×C4×D61—42no—
192C2×C4×D61—42no—
193C2×Dic122—21no—
194C2×Dic122—21no—
195C2×Dic122—21no—
196C2×Dic122—21no—
197C2×Dic122—21no—
198C2×Dic122C2×D412yes—
199C4⋊C4×C61—21no—
200C4⋊C4×C61—21no—
201C4⋊C4×C61—21no—
202C4⋊C4×C61—21no—
203C4⋊C4×C61—21no—
204C4⋊C4×C61—21no—
205C4⋊C4×C61—42no—
206C4⋊C4×C61—42no—
207C4⋊C4×C61—42no—
208C22⋊C4×C61—42no—
209C22⋊C4×C61—42no—
210C42×C61—22no—
211C42×C61—22no—
212C42×C61—21no—
213C42×C61—21no—
214C42×C61—21no—
215C42×C61—21no—
216C22⋊Dic61—24no—
217#11758202—44no—
218#11758201—44no—
219#11758198—24no—
220#11758198—24no—
221#11758198—24no—
222#11758198—24no—
223C4⋊Dic61—21no—
224C4⋊Dic61—21no—
225C4⋊Dic61C2×D412yes—
226C4⋊Dic61C2×D412yes—
227#11758196—24no—
228#11758196—24no—
229#11758196—24no—
230#11758196—24no—
231C4×Dic61—24no—
232C2×#92418—21no—
233C2×#92418—21no—
234C2×#92418—21no—
235C2×#92418—21no—
236C2×#92418—21no—
237C2×#92418—21no—
238C2×#92418—21no—
239C2×#92418—21no—
240C2×#92418—21no—
241C2×#92418—21no—
242C2×#92418—44no—
243C2×#92418—44no—
244C2×#92418#4112yes—
245C2×#92418#4112yes—
246C23×C61—21no—
247C23×C61—21no—
248C23×C61—21no—
249C23×C61—21no—
250C23×C61#12012yes—
251C23×C61#13512yes—
252C23×C61#13712yes—
253C23×C61C22×D411yescharacteristic
254C22×D61—22no—
255C22×D61—41no—
256C22×D61—41no—
257C22×D61—41no—
258C22×D61—41no—
259C22×D61—41no—
260C22×D61—41no—
261Q8×C61—41no—
262Q8×C61—41no—
263Q8×C61—41no—
264Q8×C61—41no—
265C2×C4×C61—21no—
266C2×C4×C61—21no—
267C2×C4×C61—21no—
268C2×C4×C61—21no—
269C2×C4×C61—22no—
270C2×C4×C61—22no—
271C2×C4×C61—22no—
272C2×C4×C61—22no—
273C2×C4×C61—21no—
274C2×C4×C61—21no—
275C2×C4×C61—21no—
276C2×C4×C61—21no—
277C2×C4×C61—21no—
278C2×C4×C61—21no—
279C2×C4×C61—21no—
280C2×C4×C61—21no—
281C2×C4×C61—21no—
282C2×C4×C61—44no—
283C2×C4×C61—44no—
284C2×C4×C61—41no—
285C2×C4×C61—41no—
286C2×C4×C61—41no—
287C2×C4×C61—41no—
288C2×C4×C61—41no—
289C2×C4×C61—41no—
290C2×C4×C61—41no—
291C2×C4×C61—41no—
292C2×C4×C61—41no—
293C2×C4×C61—41no—
294C2×C4×C61—41no—
295C2×C4×C61—41no—
296C2×C4×C61#12012yes—
297C2×C4×C61#13512yes—
298C2×C4×C61C22×D411yescharacteristic
299C2×C4×C61C22×D411yescharacteristic
300C2×C4×C61C2×#4111yescharacteristic
301C2×C4×C61C2×#4111yescharacteristic
302C2×C4×C61H(5,𝔽2)11yescharacteristic
303C2×C4×C612−1+411yescharacteristic
304C22⋊D61—48no—
305C2×Dic61—22no—
306C2×Dic61—22no—
307C2×Dic61—22no—
308C2×Dic61—41no—
309C2×Dic61—41no—
310C2×Dic61—41no—
311C2×Dic61—41no—
312C2×Dic61—41no—
313C2×Dic61—41no—
314D244—22no—
315D244—22no—
316D244—41no—
317D244—41no—
318C4×D61—48no—
319Dic122—22no—
320Dic122—22no—
321Dic122—41no—
322Dic122—41no—
323#92418—22no—
324#92418—22no—
325#92418—41no—
326#92418—41no—
327#25499—611nomaximal, Sylow
328C22×C61—22no—
329C22×C61—22no—
330C22×C61—22no—
331C22×C61—22no—
332C22×C61—22no—
333C22×C61—22no—
334C22×C61#45214yes—
335C22×C61C2×#12011yescharacteristic
336C22×C61#53211yescharacteristic
337C22×C61#53711yescharacteristic
338C22×C61C2×#13511yescharacteristic
339C22×C61C2×#13511yescharacteristic
340C22×C61C2×#13711yescharacteristic
341C22×C61#57511yescharacteristic
342C2×D61—42no—
343C2×D61—42no—
344C2×D61—42no—
345C2×D61—81no—
346C2×D61—81no—
347C2×D61—81no—
348C2×D61—81no—
349C4×C61—22no—
350C4×C61—22no—
351C4×C61—41no—
352C4×C61—41no—
353C4×C61—41no—
354C4×C61—81no—
355C4×C61—81no—
356C4×C61—81no—
357C4×C61—81no—
358C4×C61#54611yescharacteristic
359C4×C61#54611yescharacteristic
360C4×C61#54711yescharacteristic
361C4×C61#54711yescharacteristic
362Dic61—42no—
363Dic61—42no—
364Dic61—42no—
365C2×#529—611no—
366C2×#467—611no—
367C2×#465—611no—
368#2855D6111yescharacteristic, complemented
369#2059—611no—
370#2042—611no—
371#2026—611no—
372#2015—611no—
373#1893—611no—
374#1892—611no—
375#1878—611no—
376#1877—611no—
377#1865—611no—
378#1862—611no—
379C2×#336—611no—
380C2×C61—24no—
381C2×C61#243011yescharacteristic
382C2×C61C2×#45211yescharacteristic
383C2×C61#300211yescharacteristic
384C2×C61#316811yescharacteristic
385C2×C61#318111yescharacteristic
386C2×C61#324811yescharacteristic
387C2×C61#325011yescharacteristic
388D61—82no—
389C22×Q16—611no—
390C22×SD16—611no—
391C23×C8—611no—
392C23×C8—611no—
393#529—1224no—
394#529—1224no—
395C2×#126—1221no—
396C2×#125—611no—
397C2×#124—611no—
398C2×#123—1221no—
399C2×C22⋊Q8—611no—
400C2×C22⋊Q8C2×D6111yescharacteristic
401C2×#121—611no—
402C2×C4×Q8—611no—
403C2×C4×D4—611no—
404C2×C4×D4—1221no—
405C2×#117—1221no—
406C22×C42C2×D6111yescharacteristic
407#467—1224no—
408#465—1224no—
409C2×#107—611no—
410C2×#106—611no—
411C2×#103—611no—
412C2×#103—611no—
413C2×#103—611no—
414C2×#103—611no—
415C2×#103—611no—
416C2×#102—611no—
417C2×#102—611no—
418C2×#102—611no—
419#391C2×D6111yescharacteristic
420#391C2×D6111yescharacteristic
421#389C2×D6111yescharacteristic
422#389C2×D6111yescharacteristic
423#387—21no—
424#387—21no—
425#385—21no—
426#381—21no—
427#380C2×D6111yescharacteristic
428#340—611no—
429#340—611no—
430#340—611no—
431#340—611no—
432#336—611no—
433#336—611no—
434#336—611no—
435#336—611no—
436C61#2549911yescharacteristic, complemented, Sylow
437C22×Q8—611no—
438C22×Q8C22×D6111yescharacteristic
439C22×D4—611no—
440C22×D4—1221no—
441C23×C4—1221no—
442C23×C4C22⋊D6111yescharacteristic
443C23×C4C22⋊D6111yescharacteristic
444C23×C4C22×D6111yescharacteristic
445C2×Q16—1222no—
446C2×Q16—1222no—
447C2×Q16—2441no—
448C2×SD16—1222no—
449C2×SD16—1222no—
450C2×SD16—2441no—
451C22×C8—611no—
452C22×C8—611no—
453C22×C8—611no—
454C22×C8—611no—
455C22×C8—1222no—
456C22×C8—1222no—
457C22×C8—1222no—
458C22×C8—1222no—
459C22×C8—2441no—
460C22×C8—2441no—
461#126—1228no—
462#125—1222no—
463#125—1222no—
464#124—1222no—
465#124—1222no—
466#123—1228no—
467C22⋊Q8—22no—
468C22⋊Q8—22no—
469C22⋊Q8—614no—
470C22⋊Q8—1222no—
471#121—614no—
472#121—1222no—
473C4×Q8—1222no—
474C4×Q8—1222no—
475C4×D4—1222no—
476C4×D4—1222no—
477C4×D4—1228no—
478#117—1228no—
479C2×C4⋊C4—21no—
480C2×C4⋊C4—21no—
481C2×C4⋊C4—21no—
482C2×C4⋊C4—611no—
483C2×C4⋊C4—611no—
484C2×C4⋊C4—1221no—
485C2×C4⋊C4—1221no—
486C2×C4⋊C4—1221no—
487C2×C4⋊C4—1221no—
488C2×C4⋊C4C22×D6111yescharacteristic
489C2×C4⋊C4C22×D6111yescharacteristic
490C2×C4⋊C4C22×D6111yescharacteristic
491C2×C22⋊C4—21no—
492C2×C22⋊C4—21no—
493C2×C22⋊C4—1221no—
494C2×C22⋊C4—1221no—
495C2×C22⋊C4—1221no—
496C2×C22⋊C4—1221no—
497C2×C22⋊C4—1221no—
498C2×C42—22no—
499C2×C42—22no—
500C2×C42—1221no—
501C2×C42C22⋊D6111yescharacteristic
502C2×C42C22⋊D6111yescharacteristic
503C2×C42C22×D6111yescharacteristic
504C2×C42C22×D6111yescharacteristic
505#107—1222no—
506#106—1222no—
507#103—1222no—
508#103—1222no—
509#103—1222no—
510#103—1222no—
511#103—2441no—
512#102—1222no—
513#102—1222no—
514#102—2441no—
515#95—21no—
516#95—21no—
517#95—21no—
518#95—21no—
519#95—21no—
520#95—21no—
521#95—21no—
522C24—1221no—
523C24C2×C22⋊D6111yescharacteristic
524C2×Q8—21no—
525C2×Q8—21no—
526C2×Q8—21no—
527C2×Q8—21no—
528C2×Q8—21no—
529C2×Q8—21no—
530C2×Q8—612no—
531C2×Q8—1221no—
532C2×Q8—1221no—
533C2×Q8—1221no—
534C2×Q8—1221no—
535C2×Q8—1221no—
536C2×D4—612no—
537C2×D4—1224no—
538C2×D4—1221no—
539C2×D4—1221no—
540C2×D4—1221no—
541C2×D4—1221no—
542C2×D4—1221no—
543C2×D4—2442no—
544C2×D4—2442no—
545C22×C4—21no—
546C22×C4—21no—
547C22×C4—21no—
548C22×C4—21no—
549C22×C4—22no—
550C22×C4—22no—
551C22×C4—22no—
552C22×C4—22no—
553C22×C4—22no—
554C22×C4—21no—
555C22×C4—21no—
556C22×C4—21no—
557C22×C4—21no—
558C22×C4—41no—
559C22×C4—1224no—
560C22×C4—1221no—
561C22×C4—1221no—
562C22×C4—1221no—
563C22×C4—2442no—
564C22×C4—2442no—
565C22×C4D4×D6112yes—
566C22×C4D4×D6112yes—
567C22×C4C2×C22⋊D6111yescharacteristic
568C22×C4C2×C22⋊D6111yescharacteristic
569C22×C4C2×C22⋊D6111yescharacteristic
570C22×C4C2×C22⋊D6111yescharacteristic
571C22×C4C2×C22⋊D6111yescharacteristic
572C22×C4C23×D6111yescharacteristic
573Q16—2444no—
574SD16—2444no—
575C2×C8—612no—
576C2×C8—612no—
577C2×C8—1221no—
578C2×C8—1221no—
579C2×C8—1221no—
580C2×C8—1221no—
581C2×C8—1221no—
582C2×C8—1221no—
583C2×C8—1221no—
584C2×C8—1221no—
585C2×C8—1221no—
586C2×C8—1221no—
587C2×C8—2444no—
588C2×C8—2444no—
589C4⋊C4—21no—
590C4⋊C4—21no—
591C4⋊C4—21no—
592C4⋊C4—21no—
593C4⋊C4—21no—
594C4⋊C4—21no—
595C4⋊C4—42no—
596C4⋊C4—42no—
597C4⋊C4—42no—
598C4⋊C4—612no—
599C4⋊C4—612no—
600C4⋊C4—1224no—
601C4⋊C4—1224no—
602C4⋊C4—1224no—
603C4⋊C4—1221no—
604C4⋊C4—1221no—
605C4⋊C4—1224no—
606C22⋊C4—42no—
607C22⋊C4—42no—
608C22⋊C4—1224no—
609C22⋊C4—1224no—
610C22⋊C4—1224no—
611C22⋊C4—1224no—
612C22⋊C4—1224no—
613C42—21no—
614C42—21no—
615C42—21no—
616C42—21no—
617C42—22no—
618C42—22no—
619C42—1224no—
620C23—21no—
621C23—21no—
622C23—21no—
623C23—21no—
624C23—1222no—
625C23—2441no—
626C23—2441no—
627C23—2441no—
628C23—2441no—
629C23—2441no—
630C23—2441no—
631C23#1451974512yes—
632C23#1451979712yes—
633C23#1451980812yes—
634C23C22×C22⋊D6111yescharacteristic
635Q8—41no—
636Q8—41no—
637Q8—41no—
638Q8—41no—
639Q8—1222no—
640Q8—1222no—
641Q8—2441no—
642Q8—2441no—
643D4—1222no—
644D4—1222no—
645D4—2448no—
646D4—2441no—
647D4—2441no—
648C2×C4—21no—
649C2×C4—21no—
650C2×C4—21no—
651C2×C4—21no—
652C2×C4—22no—
653C2×C4—22no—
654C2×C4—22no—
655C2×C4—22no—
656C2×C4—21no—
657C2×C4—21no—
658C2×C4—21no—
659C2×C4—21no—
660C2×C4—21no—
661C2×C4—21no—
662C2×C4—21no—
663C2×C4—21no—
664C2×C4—21no—
665C2×C4—44no—
666C2×C4—44no—
667C2×C4—41no—
668C2×C4—41no—
669C2×C4—41no—
670C2×C4—41no—
671C2×C4—41no—
672C2×C4—41no—
673C2×C4—41no—
674C2×C4—41no—
675C2×C4—41no—
676C2×C4—41no—
677C2×C4—41no—
678C2×C4—41no—
679C2×C4—1222no—
680C2×C4—1222no—
681C2×C4—1222no—
682C2×C4—2448no—
683C2×C4—2441no—
684C2×C4—2441no—
685C2×C4—2441no—
686C2×C4—2441no—
687C2×C4—2441no—
688C2×C4—2441no—
689C2×C4#1451974512yes—
690C2×C4#1451979712yes—
691C2×C4C2×D4×D6111yescharacteristic
692C2×C4C2×D4×D6111yescharacteristic
693C2×C4#41×D6111yescharacteristic
694C2×C4#41×D6111yescharacteristic
695C2×C4#1451982311yescharacteristic
696C2×C4#1451982411yescharacteristic
697C8—1222no—
698C8—1222no—
699C8—2441no—
700C8—2441no—
701C22—22no—
702C22—22no—
703C22—22no—
704C22—22no—
705C22—22no—
706C22—22no—
707C22—4881no—
708C22—4881no—
709C22—4881no—
710C22—4881no—
711C22—2442no—
712C22—2442no—
713C22—2442no—
714C22#1683992214yes—
715C22C2×#1451974511yescharacteristic
716C22#1684030811yescharacteristic
717C22#1684034011yescharacteristic
718C22C2×#1451979711yescharacteristic
719C22C2×#1451979711yescharacteristic
720C22C2×#1451980811yescharacteristic
721C22#1684056011yescharacteristic
722C4—22no—
723C4—22no—
724C4—41no—
725C4—41no—
726C4—41no—
727C4—81no—
728C4—81no—
729C4—81no—
730C4—81no—
731C4—2442no—
732C4—2442no—
733C4—2442no—
734C4#1684040411yescharacteristic
735C4#1684040411yescharacteristic
736C4#1684041011yescharacteristic
737C4#1684041011yescharacteristic
738C2—24no—
739C2—4882no—
740C2#2144943111yescharacteristic
741C2C2×#1683992211yescharacteristic
742C2#2145503511yescharacteristic
743C2#2145638311yescharacteristic
744C2#2145652211yescharacteristic
745C2#2145715011yescharacteristic
746C2#2145716611yescharacteristic
subgroupG/H
centerC23C22×C22⋊D61
commutator, cosocleC22×C4×C61C24
FrattiniC22×C4C23×D61
FittingC61×#2855C2
socleC23×C61C22×D4
prime radicalC2×#14519751C22
hypercenter#2855D61
hypocenterC61#25499
LCSG ▷ C22×C4×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C23 ◁ C22×C42 ◁ #2855

Complements

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

NH ≅ G/Ntype
2. C2×#16840001C2semidirect
4. #21447157C2semidirect
5. #21447060C2semidirect
6. #21446970C2semidirect
7. #21446912C2semidirect
9. #21446240C2semidirect
10. #21446163C2semidirect
11. #21446156C2semidirect
12. #21446086C2semidirect
13. #21446065C2semidirect
14. C2×#16839517C2semidirect
15. C61×#2855C2semidirect
368. #2855D61semidirect
436. C61#25499semidirect

Maximal subgroups

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

subgroupindex
C2×#168402962
C2×#168400012
C2×#168399932
#214471572
#214470602
#214469702
#214469122
#214462452
#214462402
#214461632
#214461562
#214460862
#214460652
C2×#168395172
C61×#28552
#2549961