Finite Group Databasebeta

← #29723780

Subgroups — #29723780

Order 15616.

1042 conjugacy classes of subgroups.

The subgroup lattice has 758 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#16839905C211yesmaximal, characteristic
2C2×C4×#11758199C211yesmaximal, characteristic, complemented
3#21448650C211yesmaximal, characteristic, complemented
4#21447370C211yesmaximal, characteristic, complemented
5#21447245C211yesmaximal, characteristic, complemented
6#21447136C211yesmaximal, characteristic, complemented
7#21447005C211yesmaximal, characteristic, complemented
8#21446494C211yesmaximal, characteristic, complemented
9#21446427C211yesmaximal, characteristic, complemented
10#21446170C211yesmaximal, characteristic, complemented
11#21446153C211yesmaximal, characteristic, complemented
12#21446079C211yesmaximal, characteristic, complemented
13#21445826C211yesmaximal, characteristic, complemented
14#21445757C211yesmaximal, characteristic, complemented
15C61×#2420C211yesmaximal, characteristic, complemented
16C22×#11758222C2211yescharacteristic
17C22×#11758200C2211yescharacteristic
18C22×#11758199C2211yescharacteristic
19C2×C4×D244C2211yescharacteristic
20C2×C4×D244C2211yescharacteristic
21#16839905—24no—
22C4×#11758199—24no—
23C2×#14519710C2211yescharacteristic
24C2×#14519708C2211yescharacteristic
25C2×C4⋊#92418C2211yescharacteristic
26C2×#14519700C2211yescharacteristic
27C2×#14519700C2211yescharacteristic
28C2×#14519700C2211yescharacteristic
29C2×#14519698C2211yescharacteristic
30C2×#14519698C2211yescharacteristic
31C2×#14519697C2211yescharacteristic
32C2×#14519697C2211yescharacteristic
33C2×#14519697C2211yescharacteristic
34C2×C22⋊#92418C2211yescharacteristic
35C2×C22⋊#92418C2211yescharacteristic
36C2×C4×#92418C2211yescharacteristic
37#16839668C2211yescharacteristic
38#16839668C2211yescharacteristic
39#16839638—21no—
40#16839638—21no—
41#16839624—21no—
42#16839622C2211yescharacteristic
43#95×D61—21no—
44#16839524C2211yescharacteristic
45#16839524C2211yescharacteristic
46#16839524C2211yescharacteristic
47#16839524C2211yescharacteristic
48#16839517C2211yescharacteristic
49#16839517C2211yescharacteristic
50C2×#121×C61C2211yescharacteristic
51C2×C4×D4×C61C2211yescharacteristic
52C61×#397—21no—
53C61×#394—21no—
54C61×#390C2211yescharacteristic
55C61×#389C2211yescharacteristic
56C61×#386—21no—
57C61×#382C2211yescharacteristic
58C61×#381—21no—
59C61×#380C2211yescharacteristic
60C4×C22⋊C4×C61C2211yescharacteristic
61C2×#11758222—22no—
62C2×#11758222—22no—
63C2×#11758222—22no—
64C2×#11758222—22no—
65C2×#11758222—41no—
66C2×#11758222—41no—
67C22×Dic122C2311yescharacteristic
68C22×D244C2311yescharacteristic
69C22×C22⋊D61—21no—
70C22×C4×D61—21no—
71C22×C4×D61—21no—
72C22×C4×D61—21no—
73C2×#11758200—22no—
74C2×#11758200—22no—
75C2×#11758200—41no—
76C2×#11758199—22no—
77C2×#11758199—22no—
78C2×#11758199D414yes—
79C22×#92418C2311yescharacteristic
80C22×#92418C2311yescharacteristic
81C22×#92418C2311yescharacteristic
82C22×#92418C2311yescharacteristic
83C4×D244—22no—
84C4×D244—22no—
85C4×D244—41no—
86C4×D244—41no—
87C2×C4⋊Dic61C2311yescharacteristic
88C2×C4⋊Dic61C2311yescharacteristic
89C2×C22⋊Dic61—21no—
90C2×#11758198—21no—
91C2×#11758198—21no—
92#14519710—22no—
93#14519708—41no—
94C4⋊#92418—41no—
95#14519700—22no—
96#14519700—22no—
97#14519700—41no—
98#14519698—22no—
99#14519698—41no—
100#14519697—22no—
101#14519697—22no—
102#14519697—22no—
103C22⋊#92418—22no—
104C22⋊#92418—41no—
105C4×#92418—22no—
106#14519684—21no—
107#14519684—21no—
108#14519684—21no—
109#14519684—21no—
110#14519684—21no—
111C22×D4×C61—21no—
112C22×D4×C61C2311yescharacteristic
113C23×C4×C61—21no—
114C23×C4×C61C2311yescharacteristic
115#121×C61—22no—
116#121×C61—41no—
117C4×D4×C61—22no—
118C4×D4×C61—41no—
119C2×C4⋊C4×C61—21no—
120C2×C4⋊C4×C61C2311yescharacteristic
121C2×C4⋊C4×C61C2311yescharacteristic
122C2×C4⋊C4×C61C2311yescharacteristic
123C2×C22⋊C4×C61—21no—
124C2×C22⋊C4×C61—21no—
125C2×C22⋊C4×C61—21no—
126C2×C22⋊C4×C61—21no—
127C2×C22⋊C4×C61—21no—
128C2×C22⋊C4×C61D411yescharacteristic
129C2×C22⋊C4×C61D411yescharacteristic
130C2×C42×C61C2311yescharacteristic
131C2×C42×C61C2311yescharacteristic
132#95×C61—21no—
133#95×C61—21no—
134#95×C61—21no—
135#95×C61—21no—
136#95×C61D411yescharacteristic
137#95×C61D411yescharacteristic
138C24×C61—21no—
139C24×C61C2×D411yescharacteristic
140C23×D61—21no—
141C2×D4×C61—21no—
142C2×D4×C61—21no—
143C2×D4×C61—21no—
144C2×D4×C61—21no—
145C2×D4×C61—21no—
146C2×D4×C61—42no—
147C2×D4×C61—42no—
148C2×D4×C61—81no—
149C2×D4×C61C2×D412yes—
150C22×C4×C61—21no—
151C22×C4×C61—21no—
152C22×C4×C61—21no—
153C22×C4×C61—21no—
154C22×C4×C61—21no—
155C22×C4×C61—21no—
156C22×C4×C61—21no—
157C22×C4×C61—21no—
158C22×C4×C61—21no—
159C22×C4×C61—42no—
160C22×C4×C61—42no—
161C22×C4×C61—81no—
162C22×C4×C61C2×D411yescharacteristic
163C22×C4×C61C2×D411yescharacteristic
164C22×C4×C61C2×D411yescharacteristic
165C22×C4×C61C2×D411yescharacteristic
166C22×C4×C61C2×D411yescharacteristic
167C22×C4×C61C2411yescharacteristic
168C2×C22⋊D61—24no—
169C2×C22⋊D61—42no—
170C2×C22⋊D61—42no—
171C22×Dic61—21no—
172C22×Dic61—21no—
173C22×Dic61—21no—
174#11758222—44no—
175#11758222—44no—
176#11758222—44no—
177#11758222—44no—
178C2×D244—21no—
179C2×D244—21no—
180C2×D244—21no—
181C2×D244C2×D412yes—
182C2×D244#4112yes—
183C2×D244#4112yes—
184C2×C4×D61—24no—
185C2×C4×D61—42no—
186C2×C4×D61—42no—
187C2×C4×D61—42no—
188C2×C4×D61—42no—
189C2×C4×D61—42no—
190C2×C4×D61—42no—
191C2×C4×D61—81no—
192C2×C4×D61—81no—
193C2×Dic122—21no—
194C2×Dic122—21no—
195C2×Dic122—21no—
196C2×Dic122—21no—
197C2×Dic122—21no—
198C2×Dic122#4112yes—
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—81no—
206C22⋊C4×C61—22no—
207C22⋊C4×C61—41no—
208C22⋊C4×C61—42no—
209C22⋊C4×C61—42no—
210C22⋊C4×C61—81no—
211C22⋊C4×C61—81no—
212C22⋊C4×C61—81no—
213C42×C61—21no—
214C42×C61—21no—
215C42×C61—21no—
216C42×C61—21no—
217C22⋊Dic61—81no—
218#11758200—44no—
219#11758199—28no—
220#11758198—42no—
221#11758198—42no—
222C4⋊Dic61—21no—
223C4⋊Dic61—21no—
224C4⋊Dic61—21no—
225C4⋊Dic61—21no—
226C2×#92418—21no—
227C2×#92418—21no—
228C2×#92418—21no—
229C2×#92418—21no—
230C2×#92418—21no—
231C2×#92418—21no—
232C2×#92418—21no—
233C2×#92418—21no—
234C2×#92418—21no—
235C2×#92418—21no—
236C2×#92418—21no—
237C2×#92418C2×D412yes—
238C23×C61—21no—
239C23×C61—22no—
240C23×C61—21no—
241C23×C61—21no—
242C23×C61—21no—
243C23×C61—21no—
244C23×C61—21no—
245C23×C61—21no—
246C23×C61—41no—
247C23×C61—41no—
248C23×C61—41no—
249C23×C61—41no—
250C23×C61—41no—
251C23×C61—41no—
252C23×C61C22×D411yescharacteristic
253C22×D61—22no—
254C22×D61—22no—
255C22×D61—22no—
256C22×D61—41no—
257C22×D61—41no—
258C22×D61—41no—
259C22×D61—41no—
260D4×C61—22no—
261D4×C61—22no—
262D4×C61—41no—
263D4×C61—41no—
264D4×C61—84no—
265C2×C4×C61—21no—
266C2×C4×C61—21no—
267C2×C4×C61—21no—
268C2×C4×C61—21no—
269C2×C4×C61—21no—
270C2×C4×C61—21no—
271C2×C4×C61—21no—
272C2×C4×C61—21no—
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—41no—
280C2×C4×C61—41no—
281C2×C4×C61—41no—
282C2×C4×C61—41no—
283C2×C4×C61—41no—
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—84no—
293C2×C4×C61#13512yes—
294C2×C4×C61C22×D411yescharacteristic
295C2×C4×C61C2×#4111yescharacteristic
296C2×C4×C61C2×#4111yescharacteristic
297C2×C4×C61C2×#4111yescharacteristic
298C2×C4×C61H(5,𝔽2)11yescharacteristic
299C2×C4×C61H(5,𝔽2)11yescharacteristic
300C22⋊D61—48no—
301C2×Dic61—22no—
302C2×Dic61—41no—
303C2×Dic61—41no—
304C2×Dic61—41no—
305C2×Dic61—41no—
306C2×Dic61—41no—
307C2×Dic61—41no—
308C2×Dic61—41no—
309C2×Dic61—41no—
310D244—22no—
311D244—22no—
312D244—22no—
313D244#12314yes—
314C4×D61—48no—
315C4×D61—84no—
316C4×D61—84no—
317Dic122—22no—
318Dic122—22no—
319Dic122—41no—
320Dic122—41no—
321#92418—22no—
322#92418—41no—
323#92418—41no—
324#92418—41no—
325#24895—611nomaximal, Sylow
326C22×C61—41no—
327C22×C61—41no—
328C22×C61—41no—
329C22×C61—42no—
330C22×C61—41no—
331C22×C61—42no—
332C22×C61—42no—
333C22×C61—41no—
334C22×C61—41no—
335C22×C61—41no—
336C22×C61—81no—
337C22×C61—81no—
338C22×C61—81no—
339C22×C61—81no—
340C22×C61#52511yescharacteristic
341C22×C61D4211yescharacteristic
342C22×C61#54611yescharacteristic
343C22×C61C2×#13511yescharacteristic
344C22×C61#57511yescharacteristic
345C22×C61#57611yescharacteristic
346C22×C61#57711yescharacteristic
347C2×D61—24no—
348C2×D61—42no—
349C2×D61—42no—
350C2×D61—42no—
351C2×D61—42no—
352C2×D61—42no—
353C2×D61—42no—
354C4×C61—22no—
355C4×C61—41no—
356C4×C61—41no—
357C4×C61—41no—
358C4×C61—41no—
359C4×C61—81no—
360C4×C61—81no—
361C4×C61—81no—
362C4×C61C2×#12311yescharacteristic
363C4×C61#53811yescharacteristic
364C4×C61#54611yescharacteristic
365C4×C61#55111yescharacteristic
366Dic61—42no—
367Dic61—81no—
368Dic61—81no—
369C2×#449—611no—
370C2×C4×D8—611no—
371#2420D6111yescharacteristic, complemented
372#2339—611no—
373#2097—611no—
374#2075—611no—
375#2055—611no—
376#2034—611no—
377#1933—611no—
378#1923—611no—
379#1879—611no—
380#1877—611no—
381#1864—611no—
382#1804—611no—
383#1788—611no—
384C2×C61—81no—
385C2×C61—82no—
386C2×C61#241811yescharacteristic
387C2×C61#310211yescharacteristic
388C2×C61#311911yescharacteristic
389C2×C61#326711yescharacteristic
390C2×C61#328011yescharacteristic
391C2×C61#330311yescharacteristic
392C2×C61#332211yescharacteristic
393D61—44no—
394C22×#41—611no—
395C22×SD16—611no—
396C22×D8—611no—
397C2×#121C2×D6111yescharacteristic
398C2×C4×D4—611no—
399C2×C4×D4—611no—
400C2×C4×D4C2×D6111yescharacteristic
401#449—1224no—
402C4×D8—1224no—
403C2×#107—611no—
404C2×#106—611no—
405C2×C4⋊C8—611no—
406C2×#103—611no—
407C2×#103—611no—
408C2×#103—611no—
409C2×#102—611no—
410C2×#102—611no—
411C2×#102—611no—
412C2×#102—611no—
413C2×#102—611no—
414C2×C22⋊C8—611no—
415C2×C22⋊C8—611no—
416C2×C4×C8—611no—
417#397—21no—
418#394—21no—
419#391—611no—
420#391—611no—
421#390C2×D6111yescharacteristic
422#389C2×D6111yescharacteristic
423#386—21no—
424#386—1221no—
425#386—1221no—
426#382C2×D6111yescharacteristic
427#381—21no—
428#381—1221no—
429#380—611no—
430#380C2×D6111yescharacteristic
431C4×C22⋊C4C2×D6111yescharacteristic
432C2×#95—1221no—
433#340—611no—
434#340—611no—
435#340—611no—
436#340—611no—
437#336—611no—
438#336—611no—
439C61#2489511yescharacteristic, complemented, Sylow
440C2×#41—1222no—
441C2×#41—1222no—
442C2×#41—1222no—
443C2×#41—1222no—
444C2×#41—2441no—
445C2×#41—2441no—
446C22×Q8—611no—
447C22×D4—21no—
448C22×D4—611no—
449C22×D4—1221no—
450C22×D4C22×D6111yescharacteristic
451C23×C4—21no—
452C23×C4—1221no—
453C23×C4—1221no—
454C23×C4—1221no—
455C23×C4C22×D6111yescharacteristic
456C2×SD16—1222no—
457C2×SD16—1222no—
458C2×SD16—2441no—
459C2×D8—614no—
460C2×D8—1222no—
461C2×D8—1222no—
462C22×C8—611no—
463C22×C8—611no—
464C22×C8—611no—
465C22×C8—611no—
466#121—22no—
467#121—41no—
468C4×D4—22no—
469C4×D4—41no—
470C4×D4—1222no—
471C4×D4—1222no—
472C4×D4—2441no—
473C4×D4—2441no—
474C2×C4⋊C4—21no—
475C2×C4⋊C4—611no—
476C2×C4⋊C4—611no—
477C2×C4⋊C4C22×D6111yescharacteristic
478C2×C4⋊C4C22×D6111yescharacteristic
479C2×C4⋊C4C22×D6111yescharacteristic
480C2×C22⋊C4—21no—
481C2×C22⋊C4—21no—
482C2×C22⋊C4—21no—
483C2×C22⋊C4—21no—
484C2×C22⋊C4—21no—
485C2×C22⋊C4—1221no—
486C2×C22⋊C4—1221no—
487C2×C22⋊C4—1221no—
488C2×C22⋊C4C22⋊D6111yescharacteristic
489C2×C22⋊C4C22⋊D6111yescharacteristic
490C2×C42C22×D6111yescharacteristic
491C2×C42C22×D6111yescharacteristic
492#107—1222no—
493#106—2441no—
494C4⋊C8—2441no—
495#103—1222no—
496#103—1222no—
497#103—2441no—
498#102—1222no—
499#102—1222no—
500#102—1222no—
501#102—1222no—
502#102—2441no—
503C22⋊C8—1222no—
504C22⋊C8—2441no—
505C4×C8—1222no—
506#95—21no—
507#95—21no—
508#95—21no—
509#95—21no—
510#95—1221no—
511#95—1221no—
512#95—1221no—
513#95—1221no—
514#95—1221no—
515#95C22⋊D6111yescharacteristic
516#95C22⋊D6111yescharacteristic
517C24—21no—
518C24—1221no—
519C24C2×C22⋊D6111yescharacteristic
520#41—2444no—
521#41—2444no—
522#41—2444no—
523#41—2444no—
524C2×Q8—612no—
525C2×Q8—1221no—
526C2×Q8—1221no—
527C2×Q8—1221no—
528C2×Q8—1221no—
529C2×Q8—1221no—
530C2×D4—21no—
531C2×D4—21no—
532C2×D4—21no—
533C2×D4—21no—
534C2×D4—21no—
535C2×D4—42no—
536C2×D4—42no—
537C2×D4—81no—
538C2×D4—612no—
539C2×D4—612no—
540C2×D4—612no—
541C2×D4—1224no—
542C2×D4—1221no—
543C2×D4—1221no—
544C2×D4—1221no—
545C2×D4—2442no—
546C2×D4—2442no—
547C2×D4D4×D6112yes—
548C22×C4—21no—
549C22×C4—21no—
550C22×C4—21no—
551C22×C4—21no—
552C22×C4—21no—
553C22×C4—21no—
554C22×C4—21no—
555C22×C4—21no—
556C22×C4—21no—
557C22×C4—42no—
558C22×C4—42no—
559C22×C4—81no—
560C22×C4—1224no—
561C22×C4—1221no—
562C22×C4—1221no—
563C22×C4—1221no—
564C22×C4—4881no—
565C22×C4—4881no—
566C22×C4—2442no—
567C22×C4—2442no—
568C22×C4—2442no—
569C22×C4—2442no—
570C22×C4—2442no—
571C22×C4—2442no—
572C22×C4C2×C22⋊D6111yescharacteristic
573C22×C4C2×C22⋊D6111yescharacteristic
574C22×C4C2×C22⋊D6111yescharacteristic
575C22×C4C2×C22⋊D6111yescharacteristic
576C22×C4C2×C22⋊D6111yescharacteristic
577C22×C4C23×D6111yescharacteristic
578SD16—2444no—
579D8—1228no—
580C2×C8—612no—
581C2×C8—1221no—
582C2×C8—1221no—
583C2×C8—1221no—
584C2×C8—1221no—
585C2×C8—1221no—
586C2×C8—1221no—
587C2×C8—1221no—
588C2×C8—1221no—
589C2×C8—1221no—
590C2×C8—1221no—
591C2×C8—1221no—
592C4⋊C4—21no—
593C4⋊C4—21no—
594C4⋊C4—21no—
595C4⋊C4—21no—
596C4⋊C4—21no—
597C4⋊C4—21no—
598C4⋊C4—81no—
599C4⋊C4—1221no—
600C4⋊C4—1221no—
601C4⋊C4—1221no—
602C4⋊C4—1221no—
603C22⋊C4—22no—
604C22⋊C4—41no—
605C22⋊C4—42no—
606C22⋊C4—42no—
607C22⋊C4—81no—
608C22⋊C4—81no—
609C22⋊C4—81no—
610C22⋊C4—4881no—
611C22⋊C4—2442no—
612C22⋊C4—2442no—
613C42—21no—
614C42—21no—
615C42—21no—
616C42—21no—
617C23—21no—
618C23—21no—
619C23—21no—
620C23—21no—
621C23—21no—
622C23—22no—
623C23—21no—
624C23—21no—
625C23—41no—
626C23—41no—
627C23—41no—
628C23—41no—
629C23—41no—
630C23—41no—
631C23—1222no—
632C23—1222no—
633C23—1222no—
634C23—2441no—
635C23—2441no—
636C23—2441no—
637C23—2441no—
638C23C22×C22⋊D6111yescharacteristic
639Q8—1222no—
640Q8—1222no—
641Q8—2441no—
642Q8—2441no—
643D4—22no—
644D4—22no—
645D4—41no—
646D4—41no—
647D4—84no—
648D4—614no—
649D4—1222no—
650D4—1222no—
651D4—1222no—
652D4—2448no—
653C2×C4—21no—
654C2×C4—21no—
655C2×C4—21no—
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—21no—
666C2×C4—21no—
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—41no—
680C2×C4—84no—
681C2×C4—1222no—
682C2×C4—4884no—
683C2×C4—4884no—
684C2×C4—2448no—
685C2×C4—2441no—
686C2×C4—2441no—
687C2×C4—2441no—
688C2×C4—2441no—
689C2×C4—2441no—
690C2×C4—2441no—
691C2×C4—2441no—
692C2×C4—2441no—
693C2×C4#1451979712yes—
694C2×C4C2×D4×D6111yescharacteristic
695C2×C4#41×D6111yescharacteristic
696C2×C4#41×D6111yescharacteristic
697C2×C4#41×D6111yescharacteristic
698C2×C4#1451982211yescharacteristic
699C2×C4#1451982311yescharacteristic
700C8—1222no—
701C8—2441no—
702C8—2441no—
703C8—2441no—
704C22—41no—
705C22—42no—
706C22—41no—
707C22—42no—
708C22—41no—
709C22—41no—
710C22—41no—
711C22—41no—
712C22—42no—
713C22—41no—
714C22—81no—
715C22—81no—
716C22—81no—
717C22—81no—
718C22—1224no—
719C22—2442no—
720C22—2442no—
721C22—2442no—
722C22—2442no—
723C22—2442no—
724C22—2442no—
725C22#1684026911yescharacteristic
726C22D4×C22⋊D6111yescharacteristic
727C22#1684040011yescharacteristic
728C22C2×#1451979711yescharacteristic
729C22#1684056011yescharacteristic
730C22#1684056511yescharacteristic
731C22#1684057311yescharacteristic
732C4—22no—
733C4—41no—
734C4—41no—
735C4—41no—
736C4—41no—
737C4—81no—
738C4—81no—
739C4—81no—
740C4—4881no—
741C4—4881no—
742C4—2442no—
743C4#123×D6111yescharacteristic
744C4#1684034811yescharacteristic
745C4#1684040411yescharacteristic
746C4#1684044011yescharacteristic
747C2—81no—
748C2—82no—
749C2—2444no—
750C2#2144927811yescharacteristic
751C2#2145583111yescharacteristic
752C2#2145601211yescharacteristic
753C2#2145734011yescharacteristic
754C2#2145750011yescharacteristic
755C2#2145774111yescharacteristic
756C2#2145801411yescharacteristic
subgroupG/H
centerC23C22×C22⋊D61
commutator, cosocleC22×C4×C61C24
FrattiniC22×C4C23×D61
FittingC61×#2420C2
socleC23×C61C22×D4
prime radicalC2×#16839905C2
hypercenter#2420D61
hypocenterC61#24895
LCSG ▷ C22×C4×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C23 ◁ C4×C22⋊C4 ◁ #2420

Complements

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

NH ≅ G/Ntype
2. C2×C4×#11758199C2semidirect
3. #21448650C2semidirect
4. #21447370C2semidirect
5. #21447245C2semidirect
6. #21447136C2semidirect
7. #21447005C2semidirect
8. #21446494C2semidirect
9. #21446427C2semidirect
10. #21446170C2semidirect
11. #21446153C2semidirect
12. #21446079C2semidirect
13. #21445826C2semidirect
14. #21445757C2semidirect
15. C61×#2420C2semidirect
371. #2420D61semidirect
439. C61#24895semidirect

Maximal subgroups

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

subgroupindex
C2×#168399052
C2×C4×#117581992
#214486502
#214473702
#214472452
#214471362
#214470052
#214464942
#214464272
#214461702
#214461532
#214460792
#214458262
#214457572
C61×#24202
#2489561