Finite Group Databasebeta

← #29718438

Subgroups — #29718438

Order 15616.

1012 conjugacy classes of subgroups.

The subgroup lattice has 754 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#16840083C211yesmaximal, characteristic, complemented
2C2×#16839758C211yesmaximal, characteristic, complemented
3#21448710C211yesmaximal, characteristic, complemented
4#21447200C211yesmaximal, characteristic, complemented
5#21447193C211yesmaximal, characteristic, complemented
6#21447055C211yesmaximal, characteristic, complemented
7#21447050C211yesmaximal, characteristic, complemented
8#21446752C211yesmaximal, characteristic, complemented
9#21446747C211yesmaximal, characteristic, complemented
10#21446457C211yesmaximal, characteristic, complemented
11#21446436C211yesmaximal, characteristic, complemented
12#21446248C211yesmaximal, characteristic, complemented
13#21445999C211yesmaximal, characteristic, complemented
14#21445759C211yesmaximal, characteristic, complemented
15C61×#2431C211yesmaximal, characteristic
16C23×#92418C2211yescharacteristic
17C2×#14519736C2211yescharacteristic
18#16840083—24no—
19C2×#14519710C2211yescharacteristic
20C2×#14519708C2211yescharacteristic
21C2×C4⋊#92418C2211yescharacteristic
22C2×C4⋊#92418C2211yescharacteristic
23#16839758—24no—
24C2×#14519701C2211yescharacteristic
25C2×#14519701C2211yescharacteristic
26C2×#14519701C2211yescharacteristic
27C2×#14519701C2211yescharacteristic
28C2×#14519698C2211yescharacteristic
29C2×#14519698C2211yescharacteristic
30C2×#14519698C2211yescharacteristic
31C2×#14519698C2211yescharacteristic
32C2×#14519698C2211yescharacteristic
33C2×#14519698C2211yescharacteristic
34C2×#14519698C2211yescharacteristic
35C2×#14519698C2211yescharacteristic
36C2×C22⋊#92418C2211yescharacteristic
37#16839660C2211yescharacteristic
38#16839660C2211yescharacteristic
39#16839656—21no—
40#16839656—21no—
41#16839629—21no—
42#16839622C2211yescharacteristic
43C4×C4⋊Dic61C2211yescharacteristic
44C4×C4⋊Dic61C2211yescharacteristic
45#16839613—21no—
46#16839524C2211yescharacteristic
47#16839524C2211yescharacteristic
48#16839517C2211yescharacteristic
49#16839517C2211yescharacteristic
50C22×#41×C61C2211yescharacteristic
51C2×#127×C61C2211yescharacteristic
52C2×#124×C61C2211yescharacteristic
53C2×#121×C61C2211yescharacteristic
54C61×#392—21no—
55C61×#392—21no—
56C61×#391C2211yescharacteristic
57C61×#390C2211yescharacteristic
58C61×#386—21no—
59C61×#386—21no—
60C4×C22⋊C4×C61C2211yescharacteristic
61C22×#92418—22no—
62C22×#92418—41no—
63C22×#92418—41no—
64C22×#92418C2311yescharacteristic
65C22×#92418C2311yescharacteristic
66C22×#92418C2311yescharacteristic
67C22×#92418C2311yescharacteristic
68#14519736—22no—
69#14519736D414yescomplemented
70C2×C4⋊Dic61C2311yescharacteristic
71C2×C4⋊Dic61C2311yescharacteristic
72C2×C4⋊Dic61C2311yescharacteristic
73C2×C4⋊Dic61C2311yescharacteristic
74C2×#11758196—21no—
75C2×#11758196—21no—
76C2×C22⋊Dic61—21no—
77C2×C22⋊Dic61—21no—
78C2×C4×Dic61—21no—
79C2×C4×Dic61—21no—
80C2×C4×Dic61—21no—
81#14519710—22no—
82#14519708—22no—
83C4⋊#92418—41no—
84C4⋊#92418—41no—
85#14519701—22no—
86#14519701—22no—
87#14519701—22no—
88#14519701—41no—
89#14519698—22no—
90#14519698—22no—
91#14519698—22no—
92#14519698—22no—
93#14519698—22no—
94#14519698—41no—
95#14519698—41no—
96#14519698—41no—
97C22⋊#92418—22no—
98#14519684—21no—
99#14519684—21no—
100#14519684—21no—
101#14519684—21no—
102#14519684—21no—
103C2×#41×C61—22no—
104C2×#41×C61—22no—
105C2×#41×C61—22no—
106C2×#41×C61—22no—
107C2×#41×C61—41no—
108C2×#41×C61—41no—
109C22×Q8×C61C2311yescharacteristic
110C22×D4×C61—21no—
111C22×D4×C61—21no—
112C22×D4×C61—21no—
113C22×D4×C61—21no—
114C22×D4×C61C2311yescharacteristic
115C22×D4×C61C2311yescharacteristic
116C23×C4×C61—21no—
117C23×C4×C61C2311yescharacteristic
118#127×C61—22no—
119#127×C61—41no—
120#124×C61—22no—
121#124×C61—41no—
122#121×C61—22no—
123#121×C61—22no—
124C2×C4⋊C4×C61C2311yescharacteristic
125C2×C22⋊C4×C61—21no—
126C2×C22⋊C4×C61—21no—
127C2×C22⋊C4×C61—21no—
128C2×C22⋊C4×C61—21no—
129C2×C22⋊C4×C61—21no—
130C2×C22⋊C4×C61D411yescharacteristic
131C2×C22⋊C4×C61D411yescharacteristic
132C2×C42×C61C2311yescharacteristic
133C2×C42×C61C2311yescharacteristic
134#95×C61—21no—
135#95×C61—21no—
136#95×C61D411yescharacteristic
137#95×C61D411yescharacteristic
138C24×C61—21no—
139C24×C61—21no—
140C24×C61C2×D411yescharacteristic
141#41×C61—28no—
142#41×C61—44no—
143#41×C61—44no—
144#41×C61—44no—
145C2×Q8×C61—21no—
146C2×Q8×C61—21no—
147C2×Q8×C61—21no—
148C2×Q8×C61—21no—
149C2×Q8×C61—21no—
150C2×Q8×C61#4112yes—
151C2×D4×C61—21no—
152C2×D4×C61—21no—
153C2×D4×C61—21no—
154C2×D4×C61—21no—
155C2×D4×C61—21no—
156C2×D4×C61—21no—
157C2×D4×C61—21no—
158C2×D4×C61—21no—
159C2×D4×C61—21no—
160C2×D4×C61—21no—
161C2×D4×C61—21no—
162C2×D4×C61—42no—
163C2×D4×C61—42no—
164C2×D4×C61—42no—
165C2×D4×C61—42no—
166C2×D4×C61—42no—
167C2×D4×C61—42no—
168C2×D4×C61—42no—
169C2×D4×C61—42no—
170C2×D4×C61—81no—
171C2×D4×C61—81no—
172C2×D4×C61—81no—
173C2×D4×C61—81no—
174C2×D4×C61#4112yes—
175C22×C4×C61—21no—
176C22×C4×C61—21no—
177C22×C4×C61—21no—
178C22×C4×C61—21no—
179C22×C4×C61—21no—
180C22×C4×C61—21no—
181C22×C4×C61—42no—
182C22×C4×C61—42no—
183C22×C4×C61—42no—
184C22×C4×C61C2×D411yescharacteristic
185C22×C4×C61C2×D411yescharacteristic
186C22×C4×C61C2×D411yescharacteristic
187C22×C4×C61C2×D411yescharacteristic
188C22×C4×C61C2×D412yes—
189C22×C4×C61C2×D411yescharacteristic
190C22×C4×C61#4112yes—
191C22×C4×C61C2411yescharacteristic
192C22×Dic61—21no—
193C22×Dic61—21no—
194C22×Dic61—21no—
195C22×Dic61—21no—
196C4⋊C4×C61—21no—
197C4⋊C4×C61—21no—
198C22⋊C4×C61—22no—
199C22⋊C4×C61—41no—
200C22⋊C4×C61—42no—
201C22⋊C4×C61—42no—
202C22⋊C4×C61—42no—
203C22⋊C4×C61—81no—
204C22⋊C4×C61—81no—
205C42×C61—21no—
206C42×C61—21no—
207C42×C61—21no—
208C42×C61—21no—
209C22⋊Dic61—24no—
210C22⋊Dic61—81no—
211C4⋊Dic61—21no—
212C4⋊Dic61—21no—
213C4⋊Dic61—21no—
214C4⋊Dic61—21no—
215C4⋊Dic61—21no—
216C4⋊Dic61—21no—
217C4⋊Dic61C2×D412yes—
218C4⋊Dic61C2×D412yes—
219#11758196—42no—
220#11758196—42no—
221C4×Dic61—24no—
222C4×Dic61—81no—
223C4×Dic61—81no—
224C2×#92418—21no—
225C2×#92418—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—44no—
237C23×C61—21no—
238C23×C61—21no—
239C23×C61—21no—
240C23×C61—21no—
241C23×C61—21no—
242C23×C61—21no—
243C23×C61—22no—
244C23×C61—41no—
245C23×C61—41no—
246C23×C61—41no—
247C23×C61—41no—
248C23×C61—41no—
249C23×C61—41no—
250C23×C61—41no—
251C23×C61—41no—
252C23×C61—41no—
253C23×C61—41no—
254C23×C61—41no—
255C23×C61—41no—
256C23×C61—41no—
257C23×C61#12112yes—
258C23×C61C22×D411yescharacteristic
259Q8×C61—22no—
260Q8×C61—22no—
261Q8×C61—41no—
262Q8×C61—41no—
263D4×C61—22no—
264D4×C61—22no—
265D4×C61—48no—
266D4×C61—41no—
267D4×C61—41no—
268D4×C61—41no—
269D4×C61—41no—
270D4×C61—41no—
271D4×C61—41no—
272D4×C61—84no—
273D4×C61—84no—
274D4×C61—84no—
275C2×C4×C61—21no—
276C2×C4×C61—21no—
277C2×C4×C61—21no—
278C2×C4×C61—21no—
279C2×C4×C61—22no—
280C2×C4×C61—22no—
281C2×C4×C61—22no—
282C2×C4×C61—22no—
283C2×C4×C61—21no—
284C2×C4×C61—21no—
285C2×C4×C61—21no—
286C2×C4×C61—22no—
287C2×C4×C61—21no—
288C2×C4×C61—21no—
289C2×C4×C61—21no—
290C2×C4×C61—21no—
291C2×C4×C61—21no—
292C2×C4×C61—21no—
293C2×C4×C61—48no—
294C2×C4×C61—41no—
295C2×C4×C61—41no—
296C2×C4×C61—41no—
297C2×C4×C61—41no—
298C2×C4×C61—41no—
299C2×C4×C61#12112yes—
300C2×C4×C61#13512yes—
301C2×C4×C61C22×D411yescharacteristic
302C2×C4×C61C2×#4111yescharacteristic
303C2×C4×C61C2×#4111yescharacteristic
304C2×C4×C61C2×#4111yescharacteristic
305C2×C4×C61H(5,𝔽2)11yescharacteristic
306C2×C4×C61H(5,𝔽2)11yescharacteristic
307C2×Dic61—22no—
308C2×Dic61—22no—
309C2×Dic61—41no—
310C2×Dic61—41no—
311C2×Dic61—41no—
312C2×Dic61—41no—
313C2×Dic61—41no—
314C2×Dic61—41no—
315C2×Dic61—41no—
316C2×Dic61—41no—
317C2×Dic61—41no—
318C2×Dic61—41no—
319#92418—41no—
320#92418—41no—
321#92418—41no—
322#92418—41no—
323#24484—611nomaximal, Sylow
324C22×C61—22no—
325C22×C61—22no—
326C22×C61—22no—
327C22×C61—41no—
328C22×C61—41no—
329C22×C61—41no—
330C22×C61—41no—
331C22×C61—42no—
332C22×C61—42no—
333C22×C61—42no—
334C22×C61—81no—
335C22×C61—81no—
336C22×C61—81no—
337C22×C61—81no—
338C22×C61—81no—
339C22×C61—81no—
340C22×C61—81no—
341C22×C61—81no—
342C22×C61—81no—
343C22×C61—81no—
344C22×C61—81no—
345C22×C61C2×#12111yescharacteristic
346C22×C61#54611yescharacteristic
347C22×C61#54611yescharacteristic
348C22×C61C2×#13511yescharacteristic
349C22×C61#57511yescharacteristic
350C22×C61#57611yescharacteristic
351C22×C61#57711yescharacteristic
352C4×C61—22no—
353C4×C61—22no—
354C4×C61—42no—
355C4×C61—41no—
356C4×C61—41no—
357C4×C61—41no—
358C4×C61—81no—
359C4×C61#52511yescharacteristic
360C4×C61#53511yescharacteristic
361C4×C61#55111yescharacteristic
362C4×C61#55111yescharacteristic
363Dic61—42no—
364Dic61—42no—
365Dic61—81no—
366Dic61—81no—
367C2×#482—611no—
368C2×#416—611no—
369#2431D6111yescharacteristic
370#2347—611no—
371#2066—611no—
372#2065—611no—
373#2042—611no—
374#2041—611no—
375#1983—611no—
376#1982—611no—
377#1928—611no—
378#1925—611no—
379#1893—611no—
380#1850—611no—
381#1788—611no—
382C2×C61—42no—
383C2×C61—82no—
384C2×C61—161no—
385C2×C61#241111yescharacteristic
386C2×C61#303511yescharacteristic
387C2×C61#304511yescharacteristic
388C2×C61#329711yescharacteristic
389C2×C61#330411yescharacteristic
390C2×C61#330911yescharacteristic
391C2×C61#331111yescharacteristic
392C22×#41C2×D6111yescharacteristic
393C23×C8—611no—
394C2×#127C2×D6111yescharacteristic
395C2×#124C2×D6111yescharacteristic
396C2×#121C2×D6111yescharacteristic
397C2×#117—611no—
398#482—1224no—
399C2×#107—611no—
400C2×#106—611no—
401C2×C4⋊C8—611no—
402C2×C4⋊C8—611no—
403#416—1224no—
404C2×#103—611no—
405C2×#103—611no—
406C2×#103—611no—
407C2×#103—611no—
408C2×#102—611no—
409C2×#102—611no—
410C2×#102—611no—
411C2×#102—611no—
412C2×#102—611no—
413C2×#102—611no—
414C2×#102—611no—
415C2×#102—611no—
416C2×C22⋊C8—611no—
417#392—21no—
418#392—21no—
419#391C2×D6111yescharacteristic
420#390C2×D6111yescharacteristic
421#389—611no—
422#389—611no—
423#388—1221no—
424#388—1221no—
425#386—21no—
426#386—21no—
427#383—1221no—
428#380—611no—
429C4×C4⋊C4—611no—
430C4×C4⋊C4—611no—
431C4×C4⋊C4—1221no—
432C4×C22⋊C4C2×D6111yescharacteristic
433#340—611no—
434#340—611no—
435#336—611no—
436#336—611no—
437C61#2448411yescharacteristic, complemented, Sylow
438C2×#41—22no—
439C2×#41—22no—
440C2×#41—22no—
441C2×#41—22no—
442C2×#41—41no—
443C2×#41—41no—
444C22×Q8C22×D6111yescharacteristic
445C22×D4—21no—
446C22×D4—21no—
447C22×D4—21no—
448C22×D4—21no—
449C22×D4C22×D6111yescharacteristic
450C22×D4C22×D6111yescharacteristic
451C23×C4—21no—
452C23×C4C22×D6111yescharacteristic
453C22×C8—611no—
454C22×C8—611no—
455C22×C8—611no—
456C22×C8—611no—
457C22×C8—1222no—
458C22×C8—2441no—
459C22×C8—2441no—
460#127—22no—
461#127—41no—
462#124—22no—
463#124—41no—
464#121—22no—
465#121—22no—
466#117—614no—
467#117—1222no—
468C2×C4⋊C4—611no—
469C2×C4⋊C4—611no—
470C2×C4⋊C4—611no—
471C2×C4⋊C4—611no—
472C2×C4⋊C4—1221no—
473C2×C4⋊C4—1221no—
474C2×C4⋊C4C22×D6111yescharacteristic
475C2×C22⋊C4—21no—
476C2×C22⋊C4—21no—
477C2×C22⋊C4—21no—
478C2×C22⋊C4—21no—
479C2×C22⋊C4—21no—
480C2×C22⋊C4—1221no—
481C2×C22⋊C4—1221no—
482C2×C22⋊C4C22⋊D6111yescharacteristic
483C2×C22⋊C4C22⋊D6111yescharacteristic
484C2×C42—1221no—
485C2×C42—1221no—
486C2×C42—1221no—
487C2×C42C22×D6111yescharacteristic
488C2×C42C22×D6111yescharacteristic
489#107—1222no—
490#106—1222no—
491C4⋊C8—2441no—
492C4⋊C8—2441no—
493#103—1222no—
494#103—1222no—
495#103—1222no—
496#103—2441no—
497#102—1222no—
498#102—1222no—
499#102—1222no—
500#102—1222no—
501#102—1222no—
502#102—2441no—
503#102—2441no—
504#102—2441no—
505C22⋊C8—1222no—
506#95—21no—
507#95—21no—
508#95—1221no—
509#95—1221no—
510#95—1221no—
511#95—1221no—
512#95—1221no—
513#95C22⋊D6111yescharacteristic
514#95C22⋊D6111yescharacteristic
515C24—21no—
516C24—21no—
517C24C2×C22⋊D6111yescharacteristic
518#41—28no—
519#41—44no—
520#41—44no—
521#41—44no—
522C2×Q8—21no—
523C2×Q8—21no—
524C2×Q8—21no—
525C2×Q8—21no—
526C2×Q8—21no—
527C2×Q8#1175822412yes—
528C2×D4—21no—
529C2×D4—21no—
530C2×D4—21no—
531C2×D4—21no—
532C2×D4—21no—
533C2×D4—21no—
534C2×D4—21no—
535C2×D4—21no—
536C2×D4—21no—
537C2×D4—21no—
538C2×D4—21no—
539C2×D4—42no—
540C2×D4—42no—
541C2×D4—42no—
542C2×D4—42no—
543C2×D4—42no—
544C2×D4—42no—
545C2×D4—42no—
546C2×D4—42no—
547C2×D4—81no—
548C2×D4—81no—
549C2×D4—81no—
550C2×D4—81no—
551C2×D4#1175822412yes—
552C22×C4—21no—
553C22×C4—21no—
554C22×C4—21no—
555C22×C4—21no—
556C22×C4—21no—
557C22×C4—21no—
558C22×C4—42no—
559C22×C4—42no—
560C22×C4—42no—
561C22×C4—1221no—
562C22×C4—1221no—
563C22×C4—1221no—
564C22×C4—1221no—
565C22×C4D4×D6112yes—
566C22×C4#1175822412yes—
567C22×C4C2×C22⋊D6111yescharacteristic
568C22×C4C2×C22⋊D6111yescharacteristic
569C22×C4C2×C22⋊D6111yescharacteristic
570C22×C4C2×C22⋊D6111yescharacteristic
571C22×C4C2×C22⋊D6111yescharacteristic
572C22×C4C23×D6111yescharacteristic
573C2×C8—1221no—
574C2×C8—1221no—
575C2×C8—1221no—
576C2×C8—1221no—
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—2444no—
586C4⋊C4—21no—
587C4⋊C4—21no—
588C4⋊C4—612no—
589C4⋊C4—612no—
590C4⋊C4—1221no—
591C4⋊C4—1221no—
592C4⋊C4—1221no—
593C4⋊C4—1221no—
594C4⋊C4—1221no—
595C4⋊C4—1221no—
596C4⋊C4—2442no—
597C4⋊C4—2442no—
598C22⋊C4—22no—
599C22⋊C4—41no—
600C22⋊C4—42no—
601C22⋊C4—42no—
602C22⋊C4—42no—
603C22⋊C4—81no—
604C22⋊C4—81no—
605C22⋊C4—1224no—
606C22⋊C4—4881no—
607C42—21no—
608C42—21no—
609C42—21no—
610C42—21no—
611C42—1224no—
612C42—4881no—
613C42—4881no—
614C23—21no—
615C23—21no—
616C23—21no—
617C23—21no—
618C23—21no—
619C23—21no—
620C23—22no—
621C23—41no—
622C23—41no—
623C23—41no—
624C23—41no—
625C23—41no—
626C23—41no—
627C23—41no—
628C23—41no—
629C23—41no—
630C23—41no—
631C23—41no—
632C23—41no—
633C23—41no—
634C23#1451974812yes—
635C23C22×C22⋊D6111yescharacteristic
636Q8—22no—
637Q8—22no—
638Q8—41no—
639Q8—41no—
640D4—22no—
641D4—22no—
642D4—48no—
643D4—41no—
644D4—41no—
645D4—41no—
646D4—41no—
647D4—41no—
648D4—41no—
649D4—84no—
650D4—84no—
651D4—84no—
652C2×C4—21no—
653C2×C4—21no—
654C2×C4—21no—
655C2×C4—21no—
656C2×C4—22no—
657C2×C4—22no—
658C2×C4—22no—
659C2×C4—22no—
660C2×C4—21no—
661C2×C4—21no—
662C2×C4—21no—
663C2×C4—21no—
664C2×C4—21no—
665C2×C4—21no—
666C2×C4—21no—
667C2×C4—21no—
668C2×C4—21no—
669C2×C4—22no—
670C2×C4—48no—
671C2×C4—41no—
672C2×C4—41no—
673C2×C4—41no—
674C2×C4—41no—
675C2×C4—41no—
676C2×C4—1222no—
677C2×C4—1222no—
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×C4—2441no—
687C2×C4—2441no—
688C2×C4#1451974812yes—
689C2×C4#1451979712yes—
690C2×C4C2×D4×D6111yescharacteristic
691C2×C4C2×#1175822411yescharacteristic
692C2×C4C2×#1175822411yescharacteristic
693C2×C4C2×#1175822411yescharacteristic
694C2×C4#1451982211yescharacteristic
695C2×C4#1451982211yescharacteristic
696C8—2441no—
697C8—2441no—
698C8—2441no—
699C8—2441no—
700C22—22no—
701C22—22no—
702C22—22no—
703C22—41no—
704C22—41no—
705C22—41no—
706C22—41no—
707C22—42no—
708C22—42no—
709C22—42no—
710C22—81no—
711C22—81no—
712C22—81no—
713C22—81no—
714C22—81no—
715C22—81no—
716C22—81no—
717C22—81no—
718C22—81no—
719C22—81no—
720C22—81no—
721C22C2×#1451974811yescharacteristic
722C22#1684040611yescharacteristic
723C22#1684040611yescharacteristic
724C22C2×#1451979711yescharacteristic
725C22#1684056011yescharacteristic
726C22#1684056511yescharacteristic
727C22#1684057311yescharacteristic
728C4—22no—
729C4—22no—
730C4—41no—
731C4—41no—
732C4—41no—
733C4—42no—
734C4—81no—
735C4—4881no—
736C4—4881no—
737C4—2442no—
738C4—2442no—
739C4#1684026811yescharacteristic
740C4#1684032711yescharacteristic
741C4#1684044311yescharacteristic
742C4#1684044311yescharacteristic
743C2—42no—
744C2—82no—
745C2—161no—
746C2#2144920011yescharacteristic
747C2#2145526811yescharacteristic
748C2#2145535411yescharacteristic
749C2#2145766911yescharacteristic
750C2#2145775811yescharacteristic
751C2#2145782511yescharacteristic
752C2#2145785511yescharacteristic
subgroupG/H
centerC23C22×C22⋊D61
commutator, cosocleC22×C4×C61C24
FrattiniC22×C4C23×D61
Fitting, prime radicalC61×#2431C2
socleC23×C61C22×D4
hypercenter#2431D61
hypocenterC61#24484
LCSG ▷ C22×C4×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C23 ◁ C4×C22⋊C4 ◁ #2431

Complements

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

NH ≅ G/Ntype
1. C2×#16840083C2semidirect
2. C2×#16839758C2semidirect
3. #21448710C2semidirect
4. #21447200C2semidirect
5. #21447193C2semidirect
6. #21447055C2semidirect
7. #21447050C2semidirect
8. #21446752C2semidirect
9. #21446747C2semidirect
10. #21446457C2semidirect
11. #21446436C2semidirect
12. #21446248C2semidirect
13. #21445999C2semidirect
14. #21445759C2semidirect
69. #14519736D4semidirect
437. C61#24484semidirect

Maximal subgroups

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

subgroupindex
C2×#168400832
C2×#168397582
#214487102
#214472002
#214471932
#214470552
#214470502
#214467522
#214467472
#214464572
#214464362
#214462482
#214459992
#214457592
C61×#24312
#2448461