Finite Group Databasebeta

← #29697279

Subgroups — #29697279

Order 15616.

1150 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
1C2×#16839765C211yesmaximal, characteristic
2#21448711C211yesmaximal, characteristic, complemented
3#21448640C211yesmaximal, characteristic
4#21446504C211yesmaximal, characteristic, complemented
5#21446449C211yesmaximal, characteristic, complemented
6#21446436C211yesmaximal, characteristic, complemented
7#21446079C211yesmaximal, characteristic, complemented
8#21446067C211yesmaximal, characteristic, complemented
9#21445913C211yesmaximal, characteristic, complemented
10#21445851C211yesmaximal, characteristic, complemented
11#21445748C211yesmaximal, characteristic
12#21445645C211yesmaximal, characteristic, complemented
13#21445633C211yesmaximal, characteristic, complemented
14#21445604C211yesmaximal, characteristic, complemented
15C61×#1936C211yesmaximal, characteristic, complemented
16C22×D4×D61C2211yescharacteristic
17C22×#11758189C2211yescharacteristic
18C2×C4×D244C2211yescharacteristic
19C2×#14519739C2211yescharacteristic
20C2×#14519735C2211yescharacteristic
21C2×C22⋊C4×D61—21no—
22C2×#14519710C2211yescharacteristic, complemented
23C2×#14519708C2211yescharacteristic, complemented
24#16839765C418yescomplemented
25C2×#14519699C2211yescharacteristic
26C2×#14519699C2211yescharacteristic
27C2×#14519698C2211yescharacteristic
28C2×#14519698C2211yescharacteristic
29C2×#14519697C2211yescharacteristic
30C2×#14519697C2211yescharacteristic
31C2×#14519689C2211yescharacteristic
32C2×C8×Dic61C2211yescharacteristic, complemented
33#16839665C2211yescharacteristic
34#16839661C2211yescharacteristic, complemented
35#16839654—21no—
36#16839652—21no—
37#16839638—21no—
38#16839638—21no—
39#16839629—21no—
40#16839619C2211yescharacteristic
41#16839619C2211yescharacteristic
42#16839617—21no—
43C4⋊C4×Dic61—21no—
44C4⋊C4×Dic61C2211yescharacteristic, complemented
45C4×C4⋊Dic61C2211yescharacteristic, complemented
46C4×#11758198C2211yescharacteristic
47#16839525C2211yescharacteristic, complemented
48#16839525C2211yescharacteristic, complemented
49#16839524C2211yescharacteristic, complemented
50#16839524C2211yescharacteristic, complemented
51#16839517C2211yescharacteristic, complemented
52#16839516C2211yescharacteristic, complemented
53C2×#102×C61C2211yescharacteristic
54C2×#102×C61C2211yescharacteristic
55C2×#97×C61C2211yescharacteristic, complemented
56C61×#390C2211yescharacteristic
57C61×#389C2211yescharacteristic, complemented
58C61×#340C2211yescharacteristic, complemented
59C61×#340C2211yescharacteristic, complemented
60C24×D61—21no—
61C22×D244C2311yescharacteristic
62C22×C22⋊D61—21no—
63C2×D4×D61—22no—
64C2×D4×D61—22no—
65C2×D4×D61—22no—
66C2×D4×D61—41no—
67C2×D4×D61—41no—
68C2×D4×D61C2×C414yes—
69C22×C4×D61—21no—
70C22×C4×D61—21no—
71C22×C4×D61C2311yescharacteristic
72C2×#11758189—41no—
73C2×#11758189—41no—
74C2×#11758189C2×C414yescomplemented
75C22×#92418C2311yescharacteristic
76C22×#92418C2311yescharacteristic
77C4×D244—22no—
78C4×D244—41no—
79#14519739—22no—
80#14519739—41no—
81#14519735—22no—
82#14519735C2×C414yescomplemented
83C2×C4⋊Dic61—21no—
84C2×C4⋊Dic61C2311yescharacteristic
85C2×C4⋊Dic61C2311yescharacteristic
86C2×C4⋊Dic61C2311yescharacteristic
87C2×C22⋊Dic61—21no—
88C2×C22⋊Dic61—21no—
89C2×#11758198—21no—
90C2×#11758198—21no—
91C2×#11758198—21no—
92C2×#11758198—21no—
93C2×#11758198—21no—
94C2×#11758198D411yescharacteristic
95C2×#11758198D411yescharacteristic
96C22⋊C4×D61—44no—
97C2×C4×Dic61—21no—
98C2×C4×Dic61—21no—
99C2×C4×Dic61—21no—
100C2×C4×Dic61C2311yescharacteristic
101#14519710—41no—
102#14519708—41no—
103#14519699—22no—
104#14519699C2×C414yes—
105#14519698—41no—
106#14519698C2×C414yescomplemented
107#14519697—22no—
108#14519697C2×C414yes—
109#14519689—22no—
110C8×Dic61—41no—
111#14519684—21no—
112#14519684—21no—
113#14519684—21no—
114#14519684—21no—
115#14519684—21no—
116#14519684D411yescharacteristic
117#14519684D411yescharacteristic
118C22×D4×C61C2311yescharacteristic
119C22×C8×C61C2311yescharacteristic
120C22×C8×C61C2311yescharacteristic
121C2×C4⋊C4×C61—21no—
122C2×C4⋊C4×C61C2311yescharacteristic
123C2×C4⋊C4×C61C2311yescharacteristic
124C2×C4⋊C4×C61C2311yescharacteristic
125C2×C22⋊C4×C61—21no—
126C2×C22⋊C4×C61—21no—
127C2×C42×C61C2311yescharacteristic
128#102×C61—41no—
129#102×C61C2×C414yescomplemented
130#97×C61—41no—
131#95×C61—21no—
132C24×C61—21no—
133C23×D61—21no—
134C23×D61—24no—
135C23×D61—42no—
136C23×D61—42no—
137C23×D61—42no—
138C23×D61—42no—
139C23×D61—81no—
140C23×D61—81no—
141C23×D61C2×D411yescharacteristic
142C2×D4×C61—21no—
143C2×D4×C61—21no—
144C2×D4×C61—21no—
145C2×D4×C61—21no—
146C2×D4×C61—21no—
147C2×D4×C61C22×C412yes—
148C22×C4×C61—21no—
149C22×C4×C61—21no—
150C22×C4×C61—21no—
151C22×C4×C61C2×D411yescharacteristic
152C22×C4×C61C2×D411yescharacteristic
153C22×C4×C61C2411yescharacteristic
154C2×C22⋊D61—24no—
155C2×C22⋊D61—42no—
156C2×C22⋊D61—42no—
157C22×Dic61—21no—
158C22×Dic61—21no—
159C22×Dic61—21no—
160C22×Dic61C2×D411yescharacteristic
161C22×Dic61C2×D411yescharacteristic
162C22×Dic61C2×D411yescharacteristic
163D4×D61—28no—
164D4×D61—44no—
165D4×D61—44no—
166D4×D61—44no—
167C2×D244—21no—
168C2×D244—21no—
169C2×D244—21no—
170C2×D244C22×C412yes—
171C2×D244#4112yes—
172C2×D244#4112yes—
173C2×C4×D61—21no—
174C2×C4×D61—21no—
175C2×C4×D61—21no—
176C2×C4×D61—21no—
177C2×C4×D61—42no—
178C2×C4×D61—42no—
179C2×C4×D61—42no—
180C2×C4×D61—42no—
181C2×C4×D61—81no—
182C2×C4×D61—81no—
183C2×C4×D61C22×C412yes—
184C2×C4×D61#4112yes—
185C2×C8×C61—21no—
186C2×C8×C61—21no—
187C2×C8×C61—21no—
188C2×C8×C61—21no—
189C2×C8×C61—21no—
190C2×C8×C61C22×C412yes—
191C4⋊C4×C61—21no—
192C4⋊C4×C61—21no—
193C4⋊C4×C61—21no—
194C4⋊C4×C61—21no—
195C4⋊C4×C61—21no—
196C4⋊C4×C61—42no—
197C4⋊C4×C61C22×C412yes—
198C22⋊C4×C61—42no—
199C22⋊C4×C61—81no—
200C42×C61—21no—
201C42×C61—21no—
202C22⋊Dic61—42no—
203C22⋊Dic61—81no—
204#11758198—24no—
205#11758198—22no—
206#11758198—41no—
207#11758198—42no—
208#11758198—42no—
209#11758198—42no—
210#11758198—81no—
211C4⋊Dic61—21no—
212C4⋊Dic61—21no—
213C4⋊Dic61—21no—
214C4⋊Dic61—21no—
215C4⋊Dic61—21no—
216C4⋊Dic61—42no—
217C4⋊Dic61C22×C412yes—
218C4×Dic61—21no—
219C4×Dic61—21no—
220C4×Dic61—24no—
221C4×Dic61—81no—
222C4×Dic61—81no—
223C2×#92418—21no—
224C2×#92418—21no—
225C2×#92418—21no—
226C2×#92418—21no—
227C2×#92418—21no—
228C2×#92418C22×C412yes—
229#11758189—44no—
230C23×C61—22no—
231C23×C61—41no—
232C23×C61—41no—
233C23×C61—41no—
234C23×C61—41no—
235C23×C61—41no—
236C23×C61—41no—
237C23×C61C22×D411yescharacteristic
238C22×D61—22no—
239C22×D61—22no—
240C22×D61—22no—
241C22×D61—21no—
242C22×D61—21no—
243C22×D61—21no—
244C22×D61—21no—
245C22×D61—21no—
246C22×D61—21no—
247C22×D61—48no—
248C22×D61—48no—
249C22×D61—41no—
250C22×D61—41no—
251C22×D61—41no—
252C22×D61—41no—
253C22×D61—84no—
254C22×D61—84no—
255C22×D61—84no—
256C22×D61—84no—
257C22×D61—84no—
258C22×D61C4×D412yes—
259D4×C61—22no—
260D4×C61—22no—
261D4×C61—41no—
262D4×C61—41no—
263C2×C4×C61—22no—
264C2×C4×C61—21no—
265C2×C4×C61—21no—
266C2×C4×C61—21no—
267C2×C4×C61—21no—
268C2×C4×C61—21no—
269C2×C4×C61—21no—
270C2×C4×C61—41no—
271C2×C4×C61—41no—
272C2×C4×C61—41no—
273C2×C4×C61—41no—
274C2×C4×C61—41no—
275C2×C4×C61—41no—
276C2×C4×C61—41no—
277C2×C4×C61—41no—
278C2×C4×C61C23×C411yescharacteristic
279C2×C4×C61C2×#4111yescharacteristic
280C2×C4×C61C2×#4111yescharacteristic
281C2×C4×C61C2×#4111yescharacteristic
282C2×C4×C61H(5,𝔽2)11yescharacteristic
283C2×C4×C61H(5,𝔽2)11yescharacteristic
284C22⋊D61—48no—
285C2×Dic61—21no—
286C2×Dic61—21no—
287C2×Dic61—21no—
288C2×Dic61—21no—
289C2×Dic61—22no—
290C2×Dic61—21no—
291C2×Dic61—21no—
292C2×Dic61—21no—
293C2×Dic61—41no—
294C2×Dic61—41no—
295C2×Dic61—41no—
296C2×Dic61—41no—
297C2×Dic61—41no—
298C2×Dic61—41no—
299C2×Dic61—41no—
300C2×Dic61—41no—
301C2×Dic61C4×D412yes—
302C2×Dic61AGL(1,ℤ/8)12yes—
303D244—22no—
304D244—22no—
305D244—22no—
306D244#11714yes—
307C4×D61—22no—
308C4×D61—22no—
309C4×D61—22no—
310C4×D61—22no—
311C4×D61—84no—
312C4×D61—84no—
313C8×C61—22no—
314C8×C61—41no—
315#92418—22no—
316#92418—41no—
317#22580—611nomaximal, Sylow
318C22×C61—42no—
319C22×C61—42no—
320C22×C61—42no—
321C22×C61—81no—
322C22×C61—81no—
323C22×C61—81no—
324C22×C61—81no—
325C22×C61C2×C4×D411yescharacteristic
326C22×C61#54611yescharacteristic
327C22×C61#54611yescharacteristic
328C22×C61C2×AGL(1,ℤ/8)11yescharacteristic
329C22×C61#57511yescharacteristic
330C22×C61#57611yescharacteristic
331C22×C61#57711yescharacteristic
332C2×D61—22no—
333C2×D61—24no—
334C2×D61—22no—
335C2×D61—22no—
336C2×D61—42no—
337C2×D61—42no—
338C2×D61—41no—
339C2×D61—42no—
340C2×D61—42no—
341C2×D61—41no—
342C2×D61—41no—
343C2×D61—42no—
344C2×D61—42no—
345C2×D61—41no—
346C2×D61—816no—
347C4×C61—42no—
348C4×C61—41no—
349C4×C61—41no—
350C4×C61—81no—
351C4×C61—81no—
352C4×C61C2×#11711yescharacteristic
353C4×C61#51811yescharacteristic
354C4×C61#55111yescharacteristic
355C4×C61#55111yescharacteristic
356Dic61—22no—
357Dic61—22no—
358Dic61—42no—
359Dic61—41no—
360Dic61—81no—
361Dic61—81no—
362C2×#418—611no—
363#2347—611no—
364D4×C22⋊C4—611no—
365#1936D6111yescharacteristic, complemented
366#1934—611no—
367#1926—611no—
368#1925—611no—
369#1864—611no—
370#1862—611no—
371#1825—611no—
372#1809—611no—
373#1786—611no—
374#1762—611no—
375C4×#102—611no—
376#1753—611no—
377C2×C61—82no—
378C2×C61#234211yescharacteristic
379C2×C61C4×AGL(1,ℤ/8)11yescharacteristic
380C2×C61#294611yescharacteristic
381C2×C61#331111yescharacteristic
382C2×C61#331811yescharacteristic
383C2×C61#332211yescharacteristic
384C2×C61#332411yescharacteristic
385D61—42no—
386D61—44no—
387C23×D4—611no—
388C22×M16—611no—
389C2×C4×D4—611no—
390C2×C4×D4—611no—
391C2×#117—611no—
392C22×C22⋊C4—1221no—
393C2×#107—611no—
394C2×#106—611no—
395#418—618no—
396C2×#102—611no—
397C2×#102—611no—
398C2×#102—611no—
399C2×#102—611no—
400C2×#102—611no—
401C2×#102—611no—
402C2×#102C2×D6111yescharacteristic
403C2×#102C2×D6111yescharacteristic
404C2×C22⋊C8—611no—
405C2×#97C2×D6111yescharacteristic, complemented
406C2×C4×C8—611no—
407#390—611no—
408#390C2×D6111yescharacteristic
409#389—611no—
410#389C2×D6111yescharacteristic, complemented
411#388—1221no—
412#388—1221no—
413#386—1221no—
414#386—1221no—
415#383—1221no—
416#380—611no—
417#380—611no—
418#379—1221no—
419C4×C4⋊C4—611no—
420C4×C4⋊C4—611no—
421C4×C4⋊C4—1221no—
422C4×C22⋊C4—611no—
423#340—611no—
424#340—611no—
425#340—611no—
426#340—611no—
427#340C2×D6111yescharacteristic, complemented
428#340C2×D6111yescharacteristic, complemented
429#336—611no—
430#336—611no—
431C61#2258011yescharacteristic, complemented, Sylow
432C25—1221no—
433C22×D4—614no—
434C22×D4—611no—
435C22×D4—1222no—
436C22×D4—1221no—
437C22×D4—1222no—
438C22×D4—1222no—
439C22×D4—2441no—
440C22×D4—2441no—
441C22×D4C22×D6111yescharacteristic
442C23×C4—611no—
443C23×C4—1221no—
444C23×C4—1221no—
445C2×M16—614no—
446C2×M16—2441no—
447C2×M16—2441no—
448C22×C8—611no—
449C22×C8—611no—
450C22×C8C22×D6111yescharacteristic
451C22×C8C22×D6111yescharacteristic
452C4×D4—1222no—
453C4×D4—1222no—
454C4×D4—2441no—
455C4×D4—2441no—
456#117—614no—
457#117—1222no—
458C2×C4⋊C4—21no—
459C2×C4⋊C4—611no—
460C2×C4⋊C4—611no—
461C2×C4⋊C4—611no—
462C2×C4⋊C4—1221no—
463C2×C4⋊C4C22×D6111yescharacteristic
464C2×C4⋊C4C22×D6111yescharacteristic
465C2×C4⋊C4C22×D6111yescharacteristic
466C2×C22⋊C4—21no—
467C2×C22⋊C4—21no—
468C2×C22⋊C4—611no—
469C2×C22⋊C4—611no—
470C2×C22⋊C4—1221no—
471C2×C22⋊C4—1221no—
472C2×C22⋊C4—1221no—
473C2×C22⋊C4—1221no—
474C2×C22⋊C4—1221no—
475C2×C22⋊C4—1221no—
476C2×C22⋊C4—1221no—
477C2×C22⋊C4—2444no—
478C2×C42—611no—
479C2×C42—1221no—
480C2×C42—1221no—
481C2×C42—1221no—
482C2×C42C22×D6111yescharacteristic
483#107—2441no—
484#106—2441no—
485#102—41no—
486#102—614no—
487#102—614no—
488#102—614no—
489#102—1222no—
490#102—1222no—
491#102—2441no—
492#102C4×D6114yescomplemented
493C22⋊C8—1222no—
494#97—41no—
495C4×C8—2441no—
496#95—21no—
497#95—611no—
498#95—611no—
499#95—1221no—
500#95—1221no—
501#95—1221no—
502#95—1221no—
503#95—1221no—
504C24—21no—
505C24—611no—
506C24—1224no—
507C24—1221no—
508C24—4881no—
509C24—4881no—
510C24—2442no—
511C24—2442no—
512C24—2442no—
513C24—2442no—
514C2×D4—21no—
515C2×D4—21no—
516C2×D4—21no—
517C2×D4—21no—
518C2×D4—21no—
519C2×D4—612no—
520C2×D4—612no—
521C2×D4—612no—
522C2×D4—1224no—
523C2×D4—1228no—
524C2×D4—1221no—
525C2×D4—1221no—
526C2×D4—1221no—
527C2×D4—2444no—
528C2×D4—2444no—
529C2×D4—2444no—
530C2×D4—2442no—
531C2×D4—2442no—
532C2×D4C2×C4×D6112yes—
533C22×C4—21no—
534C22×C4—21no—
535C22×C4—21no—
536C22×C4—611no—
537C22×C4—611no—
538C22×C4—612no—
539C22×C4—612no—
540C22×C4—611no—
541C22×C4—1221no—
542C22×C4—1221no—
543C22×C4—1221no—
544C22×C4—1221no—
545C22×C4—1221no—
546C22×C4—1221no—
547C22×C4—1221no—
548C22×C4—4881no—
549C22×C4—4881no—
550C22×C4—2442no—
551C22×C4—2442no—
552C22×C4—2442no—
553C22×C4—2442no—
554C22×C4D4×D6111yescharacteristic
555C22×C4D4×D6111yescharacteristic
556C22×C4C23×D6111yescharacteristic
557M16—2444no—
558C2×C8—21no—
559C2×C8—21no—
560C2×C8—21no—
561C2×C8—21no—
562C2×C8—21no—
563C2×C8—612no—
564C2×C8—1221no—
565C2×C8—1221no—
566C2×C8—1221no—
567C2×C8—1221no—
568C2×C8—1221no—
569C2×C8C2×C4×D6112yes—
570C4⋊C4—21no—
571C4⋊C4—21no—
572C4⋊C4—21no—
573C4⋊C4—21no—
574C4⋊C4—21no—
575C4⋊C4—42no—
576C4⋊C4—612no—
577C4⋊C4—1221no—
578C4⋊C4—1221no—
579C4⋊C4—1221no—
580C4⋊C4—1221no—
581C4⋊C4—1221no—
582C4⋊C4—2442no—
583C4⋊C4C2×C4×D6112yes—
584C22⋊C4—42no—
585C22⋊C4—81no—
586C22⋊C4—1222no—
587C22⋊C4—1224no—
588C22⋊C4—4881no—
589C22⋊C4—4881no—
590C22⋊C4—2441no—
591C22⋊C4—2442no—
592C22⋊C4—2442no—
593C22⋊C4—2442no—
594C22⋊C4—2442no—
595C42—21no—
596C42—21no—
597C42—1224no—
598C42—1221no—
599C42—1221no—
600C42—4881no—
601C42—4881no—
602C23—22no—
603C23—41no—
604C23—41no—
605C23—41no—
606C23—41no—
607C23—41no—
608C23—41no—
609C23—612no—
610C23—1222no—
611C23—1221no—
612C23—1221no—
613C23—1221no—
614C23—1221no—
615C23—1222no—
616C23—1221no—
617C23—1222no—
618C23—1221no—
619C23—4884no—
620C23—4884no—
621C23—4884no—
622C23—4884no—
623C23—4884no—
624C23—2448no—
625C23—2448no—
626C23—2441no—
627C23—2441no—
628C23—2441no—
629C23—2441no—
630C23C2×D4×D6111yescharacteristic
631D4—22no—
632D4—22no—
633D4—41no—
634D4—41no—
635D4—614no—
636D4—1222no—
637D4—1222no—
638D4—1222no—
639D4—2448no—
640C2×C4—22no—
641C2×C4—21no—
642C2×C4—21no—
643C2×C4—21no—
644C2×C4—21no—
645C2×C4—21no—
646C2×C4—21no—
647C2×C4—41no—
648C2×C4—41no—
649C2×C4—41no—
650C2×C4—41no—
651C2×C4—41no—
652C2×C4—41no—
653C2×C4—41no—
654C2×C4—41no—
655C2×C4—612no—
656C2×C4—612no—
657C2×C4—1221no—
658C2×C4—1221no—
659C2×C4—1221no—
660C2×C4—1221no—
661C2×C4—1222no—
662C2×C4—1222no—
663C2×C4—1222no—
664C2×C4—1222no—
665C2×C4—1222no—
666C2×C4—1221no—
667C2×C4—1221no—
668C2×C4—1221no—
669C2×C4—4884no—
670C2×C4—4884no—
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×C4C22×C4×D6111yescharacteristic
680C2×C4#41×D6111yescharacteristic
681C2×C4#41×D6111yescharacteristic
682C2×C4#41×D6111yescharacteristic
683C2×C4#1451982211yescharacteristic
684C2×C4#1451982311yescharacteristic
685C8—22no—
686C8—41no—
687C8—1222no—
688C8—2441no—
689C22—42no—
690C22—42no—
691C22—42no—
692C22—81no—
693C22—81no—
694C22—81no—
695C22—81no—
696C22—1222no—
697C22—1222no—
698C22—1222no—
699C22—1224no—
700C22—48816no—
701C22—2442no—
702C22—2442no—
703C22—2441no—
704C22—2442no—
705C22—2441no—
706C22—2442no—
707C22—2442no—
708C22—2441no—
709C22—2441no—
710C22—2442no—
711C22C4×D4×D6111yescharacteristic
712C22#1684040111yescharacteristic
713C22#1684040511yescharacteristic
714C22AGL(1,ℤ/8)×D6111yescharacteristic
715C22#1684055811yescharacteristic
716C22#1684056611yescharacteristic
717C22#1684057111yescharacteristic
718C4—42no—
719C4—41no—
720C4—41no—
721C4—81no—
722C4—81no—
723C4—1222no—
724C4—1222no—
725C4—4881no—
726C4—4881no—
727C4—2442no—
728C4—2441no—
729C4#117×D6111yescharacteristic
730C4#1684023411yescharacteristic
731C4#1684043711yescharacteristic
732C4#1684044011yescharacteristic
733C2—82no—
734C2—2442no—
735C2—2444no—
736C2#2144866711yescharacteristic
737C2#2145463011yescharacteristic
738C2#2145465011yescharacteristic
739C2#2145785411yescharacteristic
740C2#2145795911yescharacteristic
741C2#2145801511yescharacteristic
742C2#2145804511yescharacteristic
subgroupG/H
centerC23C2×D4×D61
commutatorC2×C4×C61C23×C4
FrattiniC22×C4C23×D61
FittingC61×#1936C2
socleC23×C61C22×D4
prime radicalC22×D4×D61C22
cosocleC22×C4×C61C24
hypercenter#1936D61
hypocenterC61#22580
LCSG ▷ C2×C4×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C23 ◁ C2×C42 ◁ #1936

Complements

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

NH ≅ G/Ntype
2. #21448711C2semidirect
4. #21446504C2semidirect
5. #21446449C2semidirect
6. #21446436C2semidirect
7. #21446079C2semidirect
8. #21446067C2semidirect
9. #21445913C2semidirect
10. #21445851C2semidirect
12. #21445645C2semidirect
13. #21445633C2semidirect
14. #21445604C2semidirect
15. C61×#1936C2semidirect
22. C2×#14519710C22semidirect
23. C2×#14519708C22semidirect
24. #16839765C4semidirect
32. C2×C8×Dic61C22semidirect
34. #16839661C22semidirect
44. C4⋊C4×Dic61C22semidirect
45. C4×C4⋊Dic61C22semidirect
47. #16839525C22semidirect
48. #16839525C22semidirect
49. #16839524C22semidirect
50. #16839524C22semidirect
51. #16839517C22semidirect
52. #16839516C22semidirect
55. C2×#97×C61C22semidirect
57. C61×#389C22semidirect
58. C61×#340C22semidirect
59. C61×#340C22semidirect
74. C2×#11758189C2×C4semidirect
82. #14519735C2×C4semidirect
106. #14519698C2×C4semidirect
129. #102×C61C2×C4semidirect
365. #1936D61semidirect
405. C2×#97C2×D61semidirect
410. #389C2×D61semidirect
427. #340C2×D61semidirect
428. #340C2×D61semidirect
431. C61#22580semidirect
492. #102C4×D61semidirect

Maximal subgroups

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

subgroupindex
C2×#168397652
#214487112
#214486402
#214465042
#214464492
#214464362
#214460792
#214460672
#214459132
#214458512
#214457482
#214456452
#214456332
#214456042
C61×#19362
#2258061