Finite Group Databasebeta

← #29740584

Subgroups — #29740584

Order 15616.

944 conjugacy classes of subgroups.

The subgroup lattice has 724 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21449259C211yesmaximal, characteristic
2#21447376C211yesmaximal, characteristic, complemented
3#21447245C211yesmaximal, characteristic, complemented
4#21447223C211yesmaximal, characteristic, complemented
5#21447001C211yesmaximal, characteristic, complemented
6#21446439C211yesmaximal, characteristic, complemented
7#21446390C211yesmaximal, characteristic, complemented
8#21446245C211yesmaximal, characteristic, complemented
9#21446136C211yesmaximal, characteristic, complemented
10#21446136C211yesmaximal, characteristic, complemented
11#21446112C211yesmaximal, characteristic, complemented
12#21446006C211yesmaximal, characteristic, complemented
13#21445905C211yesmaximal, characteristic, complemented
14C2×#16839524C211yesmaximal, characteristic, complemented
15D4×C4⋊C4×C61C211yesmaximal, characteristic, complemented
16C23×#92418C2211yescharacteristic
17C2×#14519751C2211yescharacteristic
18C2×#14519751C2211yescharacteristic
19C2×#14519749—21no—
20C22×C4⋊Dic61C2211yescharacteristic
21C2×#14519710C2211yescharacteristic
22C2×#14519710C2211yescharacteristic
23C2×#14519697C2211yescharacteristic
24C2×#14519697C2211yescharacteristic
25C2×#14519697C2211yescharacteristic
26C2×#14519697C2211yescharacteristic
27C2×C22⋊#92418C2211yescharacteristic
28C2×C22⋊#92418C2211yescharacteristic
29C2×C22⋊#92418C2211yescharacteristic
30#16839684—21no—
31#16839678—21no—
32#16839664C2211yescharacteristic
33#16839660C2211yescharacteristic
34#16839639—21no—
35#16839622C2211yescharacteristic
36#16839524C2211yescharacteristic
37#16839524C2211yescharacteristic
38#16839524C2211yescharacteristic
39#16839524C2211yescharacteristic
40#16839524C2211yescharacteristic
41#16839524C2211yescharacteristic
42#16839524C2211yescharacteristic
43#16839524C2211yescharacteristic
44#16839524C2211yescharacteristic
45#16839524C2211yescharacteristic
46#16839517C2211yescharacteristic
47#16839517C2211yescharacteristic
48C2×C4×D4×C61—21no—
49C2×C4×D4×C61C2211yescharacteristic
50C22×C4⋊C4×C61C2211yescharacteristic
51C22×C4⋊C4×C61C2211yescharacteristic
52C61×#389—21no—
53C61×#385—21no—
54C61×#385—21no—
55C61×#384C2211yescharacteristic
56C61×#380C2211yescharacteristic
57C61×#380C2211yescharacteristic
58C4×C4⋊C4×C61C2211yescharacteristic
59C22×D244C2311yescharacteristic
60C22×C22⋊D61—21no—
61C22×C22⋊D61—21no—
62C23×Dic61—21no—
63C22×#92418—22no—
64C22×#92418—41no—
65C22×#92418—41no—
66C22×#92418C2311yescharacteristic
67C22×#92418C2311yescharacteristic
68C22×#92418C2311yescharacteristic
69C22×#92418C2311yescharacteristic
70#14519751—22no—
71#14519751—22no—
72#14519751—22no—
73#14519751—41no—
74#14519749—44no—
75C2×C4⋊Dic61—22no—
76C2×C4⋊Dic61—21no—
77C2×C4⋊Dic61—41no—
78C2×C4⋊Dic61C2311yescharacteristic
79C2×C4⋊Dic61C2311yescharacteristic
80C2×C4⋊Dic61C2311yescharacteristic
81C2×#11758196—21no—
82C2×C22⋊Dic61—21no—
83C2×#11758198—21no—
84C2×#11758198—21no—
85C2×#11758198—21no—
86C2×#11758198—21no—
87#14519710—22no—
88#14519710—41no—
89#14519697—22no—
90#14519697—41no—
91#14519697—41no—
92#14519697—41no—
93C22⋊#92418—22no—
94C22⋊#92418—41no—
95C22⋊#92418—41no—
96#14519684—21no—
97#14519684—21no—
98C22×D4×C61D411yescharacteristic
99C23×C4×C61—21no—
100C23×C4×C61—21no—
101C23×C4×C61C2311yescharacteristic
102C23×C4×C61C2311yescharacteristic
103C4×D4×C61—22no—
104C4×D4×C61—22no—
105C4×D4×C61—44no—
106C2×C4⋊C4×C61—22no—
107C2×C4⋊C4×C61—22no—
108C2×C4⋊C4×C61—21no—
109C2×C4⋊C4×C61—21no—
110C2×C4⋊C4×C61—21no—
111C2×C4⋊C4×C61—21no—
112C2×C4⋊C4×C61—41no—
113C2×C4⋊C4×C61—41no—
114C2×C4⋊C4×C61D411yescharacteristic
115C2×C4⋊C4×C61C2311yescharacteristic
116C2×C4⋊C4×C61C2311yescharacteristic
117C2×C4⋊C4×C61C2311yescharacteristic
118C2×C4⋊C4×C61C2311yescharacteristic
119C2×C22⋊C4×C61—21no—
120C2×C22⋊C4×C61—21no—
121C2×C22⋊C4×C61D411yescharacteristic
122C2×C22⋊C4×C61D411yescharacteristic
123C2×C42×C61—21no—
124C2×C42×C61C2311yescharacteristic
125#95×C61—21no—
126#95×C61—21no—
127#95×C61—21no—
128C24×C61C2×D411yescharacteristic
129C24×C61C2×D411yescharacteristic
130C23×D61—21no—
131C2×D4×C61—22no—
132C2×D4×C61—22no—
133C2×D4×C61D814yes—
134C22×C4×C61—21no—
135C22×C4×C61—21no—
136C22×C4×C61—21no—
137C22×C4×C61—21no—
138C22×C4×C61—21no—
139C22×C4×C61—21no—
140C22×C4×C61—21no—
141C22×C4×C61—21no—
142C22×C4×C61—21no—
143C22×C4×C61—21no—
144C22×C4×C61—21no—
145C22×C4×C61—21no—
146C22×C4×C61—21no—
147C22×C4×C61—21no—
148C22×C4×C61—42no—
149C22×C4×C61—42no—
150C22×C4×C61—42no—
151C22×C4×C61—42no—
152C22×C4×C61—81no—
153C22×C4×C61—81no—
154C22×C4×C61C2×D411yescharacteristic
155C22×C4×C61C2×D411yescharacteristic
156C22×C4×C61C2×D411yescharacteristic
157C22×C4×C61C2×D411yescharacteristic
158C22×C4×C61#4112yes—
159C22×C4×C61#4112yes—
160C22×C4×C61C2411yescharacteristic
161C2×C22⋊D61—42no—
162C2×C22⋊D61—42no—
163C2×C22⋊D61—42no—
164C2×C22⋊D61—42no—
165C2×C22⋊D61—42no—
166C2×C22⋊D61—81no—
167C22×Dic61—21no—
168C22×Dic61—21no—
169C22×Dic61—21no—
170C22×Dic61—42no—
171C22×Dic61—42no—
172C22×Dic61—81no—
173C2×D244—21no—
174C2×D244—21no—
175C2×D244—21no—
176C2×D244—21no—
177C2×D244—21no—
178C2×D244—21no—
179C4⋊C4×C61—22no—
180C4⋊C4×C61—21no—
181C4⋊C4×C61—21no—
182C4⋊C4×C61—21no—
183C4⋊C4×C61—21no—
184C4⋊C4×C61—21no—
185C4⋊C4×C61—21no—
186C4⋊C4×C61—21no—
187C4⋊C4×C61—42no—
188C4⋊C4×C61—42no—
189C4⋊C4×C61—42no—
190C4⋊C4×C61—81no—
191C4⋊C4×C61#4112yes—
192C22⋊C4×C61—22no—
193C22⋊C4×C61—22no—
194C22⋊C4×C61—42no—
195C22⋊C4×C61—42no—
196C42×C61—21no—
197C42×C61—21no—
198C42×C61—42no—
199C22⋊Dic61—42no—
200#11758198—42no—
201#11758198—42no—
202#11758198—42no—
203#11758198—81no—
204C4⋊Dic61—21no—
205C4⋊Dic61—21no—
206C4⋊Dic61—21no—
207C4⋊Dic61—21no—
208C4⋊Dic61—21no—
209C4⋊Dic61—42no—
210C4⋊Dic61#4112yes—
211#11758196—42no—
212C2×#92418—21no—
213C2×#92418—21no—
214C2×#92418—21no—
215C2×#92418—21no—
216C2×#92418—21no—
217C2×#92418—21no—
218C2×#92418—21no—
219C2×#92418—21no—
220C2×#92418—21no—
221C2×#92418—21no—
222C2×#92418—21no—
223C2×#92418—21no—
224C2×#92418—44no—
225C23×C61—21no—
226C23×C61—21no—
227C23×C61—21no—
228C23×C61—21no—
229C23×C61—21no—
230C23×C61—21no—
231C23×C61—21no—
232C23×C61—21no—
233C23×C61—21no—
234C23×C61—21no—
235C23×C61#12312yes—
236C23×C61C2×D812yes—
237C23×C61C2×D812yes—
238C23×C61#13712yes—
239C23×C61C22×D411yescharacteristic
240C22×D61—41no—
241C22×D61—41no—
242C22×D61—41no—
243C22×D61—41no—
244C22×D61—41no—
245C22×D61—41no—
246C22×D61—41no—
247D4×C61—28no—
248C2×C4×C61—21no—
249C2×C4×C61—21no—
250C2×C4×C61—21no—
251C2×C4×C61—21no—
252C2×C4×C61—22no—
253C2×C4×C61—22no—
254C2×C4×C61—22no—
255C2×C4×C61—22no—
256C2×C4×C61—21no—
257C2×C4×C61—21no—
258C2×C4×C61—21no—
259C2×C4×C61—22no—
260C2×C4×C61—21no—
261C2×C4×C61—21no—
262C2×C4×C61—21no—
263C2×C4×C61—41no—
264C2×C4×C61—41no—
265C2×C4×C61—41no—
266C2×C4×C61—41no—
267C2×C4×C61—41no—
268C2×C4×C61—41no—
269C2×C4×C61—41no—
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×C61—84no—
279C2×C4×C61—84no—
280C2×C4×C61#12312yes—
281C2×C4×C61C2×D812yes—
282C2×C4×C61C2×#4111yescharacteristic
283C2×C4×C61C2×#4111yescharacteristic
284C2×C4×C61C2×#4111yescharacteristic
285C2×C4×C61C2×#4111yescharacteristic
286C2×C4×C61H(5,𝔽2)11yescharacteristic
287C2×C4×C61H(5,𝔽2)11yescharacteristic
288C22⋊D61—84no—
289C22⋊D61—84no—
290C2×Dic61—22no—
291C2×Dic61—41no—
292C2×Dic61—41no—
293C2×Dic61—41no—
294C2×Dic61—41no—
295C2×Dic61—41no—
296C2×Dic61—41no—
297C2×Dic61—41no—
298C2×Dic61—41no—
299C2×Dic61—84no—
300D244—41no—
301D244—41no—
302D244—41no—
303D244—41no—
304#92418—41no—
305#92418—41no—
306#92418—41no—
307#92418—41no—
308#26198—611nomaximal, Sylow
309C22×C61—22no—
310C22×C61—22no—
311C22×C61—22no—
312C22×C61—22no—
313C22×C61—22no—
314C22×C61—22no—
315C22×C61—22no—
316C22×C61—22no—
317C22×C61—22no—
318C22×C61—41no—
319C22×C61—41no—
320C22×C61—41no—
321C22×C61—41no—
322C22×C61#48014yes—
323C22×C61C2×#12311yescharacteristic
324C22×C61#54611yescharacteristic
325C22×C61#54611yescharacteristic
326C22×C61C22×D811yescharacteristic
327C22×C61C2×#13711yescharacteristic
328C22×C61#57711yescharacteristic
329C22×C61#57711yescharacteristic
330C2×D61—81no—
331C2×D61—81no—
332C2×D61—81no—
333C2×D61—81no—
334C2×D61—81no—
335C2×D61—81no—
336C2×D61—81no—
337C4×C61—22no—
338C4×C61—22no—
339C4×C61—41no—
340C4×C61—41no—
341C4×C61—42no—
342C4×C61—81no—
343C4×C61—81no—
344C4×C61—81no—
345C4×C61#52911yescharacteristic
346C4×C61#53811yescharacteristic
347C4×C61#55311yescharacteristic
348C4×C61#55311yescharacteristic
349Dic61—42no—
350Dic61—81no—
351Dic61—81no—
352#2416—611no—
353D4×C4⋊C4D6111yescharacteristic, complemented
354#2099—611no—
355#2075—611no—
356#2071—611no—
357#2033—611no—
358#1925—611no—
359#1918—611no—
360#1893—611no—
361#1874—611no—
362#1874—611no—
363#1869—611no—
364#1852—611no—
365#1823—611no—
366C2×#340—611no—
367C2×C61—24no—
368C2×C61—42no—
369C2×C61#244411yescharacteristic
370C2×C61C2×#48011yescharacteristic
371C2×C61#309911yescharacteristic
372C2×C61#329411yescharacteristic
373C2×C61#329411yescharacteristic
374C2×C61#331611yescharacteristic
375C2×C61#332011yescharacteristic
376D61—161no—
377C23×C8—611no—
378C2×#121—611no—
379C2×#121—611no—
380C2×#121—1221no—
381C2×C4×D4—21no—
382C2×C4×D4C2×D6111yescharacteristic
383C22×C4⋊C4—611no—
384C22×C4⋊C4C2×D6111yescharacteristic
385C22×C4⋊C4C2×D6111yescharacteristic
386C2×#107—611no—
387C2×#107—611no—
388C2×#102—611no—
389C2×#102—611no—
390C2×#102—611no—
391C2×#102—611no—
392C2×C22⋊C8—611no—
393C2×C22⋊C8—611no—
394C2×C22⋊C8—611no—
395#396—1221no—
396#394—1221no—
397#390—611no—
398#389—21no—
399#389—611no—
400#386—1221no—
401#385—21no—
402#385—21no—
403#384C2×D6111yescharacteristic
404#380—611no—
405#380C2×D6111yescharacteristic
406#380C2×D6111yescharacteristic
407C4×C4⋊C4C2×D6111yescharacteristic
408#340—611no—
409#340—611no—
410#340—611no—
411#340—611no—
412#340—611no—
413#340—611no—
414#340—611no—
415#340—611no—
416#340—611no—
417#340—611no—
418#336—611no—
419#336—611no—
420C61#2619811yescharacteristic, complemented, Sylow
421C22×D4—611no—
422C22×D4—1221no—
423C22×D4—1221no—
424C22×D4C22⋊D6111yescharacteristic
425C23×C4—21no—
426C23×C4—21no—
427C23×C4—1221no—
428C23×C4C22×D6111yescharacteristic
429C23×C4C22×D6111yescharacteristic
430C22×C8—611no—
431C22×C8—611no—
432C22×C8—611no—
433C22×C8—611no—
434C22×C8—1222no—
435C22×C8—2441no—
436C22×C8—2441no—
437#121—1222no—
438#121—1222no—
439#121—1222no—
440#121—2441no—
441#121—2444no—
442C4×D4—22no—
443C4×D4—22no—
444C4×D4—44no—
445C2×C4⋊C4—22no—
446C2×C4⋊C4—22no—
447C2×C4⋊C4—21no—
448C2×C4⋊C4—21no—
449C2×C4⋊C4—21no—
450C2×C4⋊C4—21no—
451C2×C4⋊C4—41no—
452C2×C4⋊C4—41no—
453C2×C4⋊C4—611no—
454C2×C4⋊C4—611no—
455C2×C4⋊C4—611no—
456C2×C4⋊C4—1222no—
457C2×C4⋊C4—1221no—
458C2×C4⋊C4—1221no—
459C2×C4⋊C4—2441no—
460C2×C4⋊C4C22⋊D6111yescharacteristic
461C2×C4⋊C4C22×D6111yescharacteristic
462C2×C4⋊C4C22×D6111yescharacteristic
463C2×C4⋊C4C22×D6111yescharacteristic
464C2×C4⋊C4C22×D6111yescharacteristic
465C2×C22⋊C4—21no—
466C2×C22⋊C4—21no—
467C2×C22⋊C4—1221no—
468C2×C22⋊C4—1221no—
469C2×C22⋊C4—1221no—
470C2×C22⋊C4—1221no—
471C2×C22⋊C4—1221no—
472C2×C22⋊C4C22⋊D6111yescharacteristic
473C2×C22⋊C4C22⋊D6111yescharacteristic
474C2×C42—21no—
475C2×C42C22×D6111yescharacteristic
476#107—1222no—
477#107—2441no—
478#102—1222no—
479#102—2441no—
480#102—2441no—
481#102—2441no—
482C22⋊C8—1222no—
483C22⋊C8—2441no—
484C22⋊C8—2441no—
485#95—21no—
486#95—21no—
487#95—21no—
488#95—1221no—
489#95—1221no—
490C24—1221no—
491C24C2×C22⋊D6111yescharacteristic
492C24C2×C22⋊D6111yescharacteristic
493C2×D4—22no—
494C2×D4—22no—
495C2×D4—1221no—
496C2×D4—1221no—
497C2×D4—1221no—
498C2×D4—1221no—
499C2×D4—1221no—
500C2×D4—1221no—
501C2×D4—4881no—
502C2×D4—2442no—
503C2×D4—2442no—
504C2×D4—2442no—
505C2×D4—2442no—
506C2×D4—2442no—
507C2×D4#1175819914yes—
508C22×C4—21no—
509C22×C4—21no—
510C22×C4—21no—
511C22×C4—21no—
512C22×C4—21no—
513C22×C4—21no—
514C22×C4—21no—
515C22×C4—21no—
516C22×C4—21no—
517C22×C4—21no—
518C22×C4—21no—
519C22×C4—21no—
520C22×C4—21no—
521C22×C4—21no—
522C22×C4—42no—
523C22×C4—42no—
524C22×C4—42no—
525C22×C4—42no—
526C22×C4—81no—
527C22×C4—81no—
528C22×C4—1221no—
529C22×C4—1221no—
530C22×C4—1221no—
531C22×C4—4881no—
532C22×C4—2442no—
533C22×C4—2442no—
534C22×C4#1175822212yes—
535C22×C4#1175822212yes—
536C22×C4C2×C22⋊D6111yescharacteristic
537C22×C4C2×C22⋊D6111yescharacteristic
538C22×C4C2×C22⋊D6111yescharacteristic
539C22×C4C2×C22⋊D6111yescharacteristic
540C22×C4C23×D6111yescharacteristic
541C2×C8—1221no—
542C2×C8—1221no—
543C2×C8—1221no—
544C2×C8—1221no—
545C2×C8—1221no—
546C2×C8—1221no—
547C2×C8—1221no—
548C2×C8—1221no—
549C2×C8—1221no—
550C2×C8—1221no—
551C2×C8—1221no—
552C2×C8—1221no—
553C2×C8—2444no—
554C4⋊C4—21no—
555C4⋊C4—22no—
556C4⋊C4—21no—
557C4⋊C4—21no—
558C4⋊C4—21no—
559C4⋊C4—21no—
560C4⋊C4—21no—
561C4⋊C4—21no—
562C4⋊C4—42no—
563C4⋊C4—42no—
564C4⋊C4—42no—
565C4⋊C4—81no—
566C4⋊C4—612no—
567C4⋊C4—1221no—
568C4⋊C4—1221no—
569C4⋊C4—1221no—
570C4⋊C4—1221no—
571C4⋊C4—1221no—
572C4⋊C4—2442no—
573C4⋊C4—2442no—
574C4⋊C4#1175822412yes—
575C22⋊C4—22no—
576C22⋊C4—22no—
577C22⋊C4—42no—
578C22⋊C4—42no—
579C22⋊C4—4881no—
580C22⋊C4—2442no—
581C22⋊C4—2442no—
582C22⋊C4—2442no—
583C22⋊C4—2442no—
584C42—21no—
585C42—21no—
586C42—42no—
587C23—21no—
588C23—21no—
589C23—21no—
590C23—21no—
591C23—21no—
592C23—21no—
593C23—21no—
594C23—21no—
595C23—21no—
596C23—21no—
597C23—2441no—
598C23—2441no—
599C23—2441no—
600C23—2441no—
601C23—2441no—
602C23—2441no—
603C23—2441no—
604C23#1451976012yes—
605C23C2×#1175819912yes—
606C23C2×#1175819912yes—
607C23#1451980812yes—
608C23C22×C22⋊D6111yescharacteristic
609D4—28no—
610D4—4884no—
611D4—4884no—
612D4—2441no—
613D4—2441no—
614D4—2441no—
615D4—2441no—
616C2×C4—21no—
617C2×C4—21no—
618C2×C4—21no—
619C2×C4—21no—
620C2×C4—22no—
621C2×C4—22no—
622C2×C4—22no—
623C2×C4—22no—
624C2×C4—21no—
625C2×C4—21no—
626C2×C4—21no—
627C2×C4—21no—
628C2×C4—21no—
629C2×C4—22no—
630C2×C4—21no—
631C2×C4—41no—
632C2×C4—41no—
633C2×C4—41no—
634C2×C4—41no—
635C2×C4—41no—
636C2×C4—41no—
637C2×C4—41no—
638C2×C4—41no—
639C2×C4—41no—
640C2×C4—41no—
641C2×C4—41no—
642C2×C4—41no—
643C2×C4—41no—
644C2×C4—41no—
645C2×C4—41no—
646C2×C4—84no—
647C2×C4—84no—
648C2×C4—1222no—
649C2×C4—4884no—
650C2×C4—2441no—
651C2×C4—2441no—
652C2×C4—2441no—
653C2×C4—2441no—
654C2×C4—2441no—
655C2×C4—2441no—
656C2×C4—2441no—
657C2×C4—2441no—
658C2×C4#1451976012yes—
659C2×C4C2×#1175819912yes—
660C2×C4#41×D6111yescharacteristic
661C2×C4C2×#1175822411yescharacteristic
662C2×C4C2×#1175822211yescharacteristic
663C2×C4C2×#1175822211yescharacteristic
664C2×C4#1451982211yescharacteristic
665C2×C4#1451982311yescharacteristic
666C8—2441no—
667C8—2441no—
668C8—2441no—
669C8—2441no—
670C22—22no—
671C22—22no—
672C22—22no—
673C22—22no—
674C22—22no—
675C22—22no—
676C22—22no—
677C22—22no—
678C22—22no—
679C22—41no—
680C22—41no—
681C22—41no—
682C22—41no—
683C22—4881no—
684C22—4881no—
685C22—4881no—
686C22—4881no—
687C22—4881no—
688C22—4881no—
689C22—4881no—
690C22#1684007514yes—
691C22C2×#1451976011yescharacteristic
692C22#1684040011yescharacteristic
693C22#1684040611yescharacteristic
694C22C22×#1175819911yescharacteristic
695C22C2×#1451980811yescharacteristic
696C22#1684057011yescharacteristic
697C22#1684057311yescharacteristic
698C4—22no—
699C4—22no—
700C4—41no—
701C4—41no—
702C4—42no—
703C4—81no—
704C4—81no—
705C4—81no—
706C4—4881no—
707C4—4881no—
708C4—2442no—
709C4#1684029211yescharacteristic
710C4#1684034511yescharacteristic
711C4#1684045811yescharacteristic
712C4#1684046111yescharacteristic
713C2—24no—
714C2—42no—
715C2—9761no—
716C2#2144956311yescharacteristic
717C2C2×#1684007511yescharacteristic
718C2#2145580811yescharacteristic
719C2#2145762611yescharacteristic
720C2#2145763211yescharacteristic
721C2#2145792411yescharacteristic
722C2#2145799011yescharacteristic
subgroupG/H
centerC23C22×C22⋊D61
commutator, cosocleC22×C4×C61C24
FrattiniC22×C4C23×D61
FittingD4×C4⋊C4×C61C2
socleC23×C61C22×D4
prime radical#21449259C2
hypercenterD4×C4⋊C4D61
hypocenterC61#26198
LCSG ▷ C22×C4×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C23 ◁ C2×C4×D4 ◁ D4×C4⋊C4

Complements

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

NH ≅ G/Ntype
2. #21447376C2semidirect
3. #21447245C2semidirect
4. #21447223C2semidirect
5. #21447001C2semidirect
6. #21446439C2semidirect
7. #21446390C2semidirect
8. #21446245C2semidirect
9. #21446136C2semidirect
10. #21446136C2semidirect
11. #21446112C2semidirect
12. #21446006C2semidirect
13. #21445905C2semidirect
14. C2×#16839524C2semidirect
15. D4×C4⋊C4×C61C2semidirect
353. D4×C4⋊C4D61semidirect
420. C61#26198semidirect

Maximal subgroups

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

subgroupindex
#214492592
#214473762
#214472452
#214472232
#214470012
#214464392
#214463902
#214462452
#214461362
#214461122
#214460062
#214459052
C2×#168395242
D4×C4⋊C4×C612
#2619861