Finite Group Databasebeta

← #29697277

Subgroups — #29697277

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×#16839768C211yesmaximal, characteristic
2#21448710C211yesmaximal, characteristic, complemented
3C22⋊C4×D244C211yesmaximal, characteristic
4#21446516C211yesmaximal, characteristic, complemented
5#21446502C211yesmaximal, characteristic, complemented
6#21446447C211yesmaximal, characteristic, complemented
7#21446440C211yesmaximal, characteristic, complemented
8#21446083C211yesmaximal, characteristic, complemented
9#21446069C211yesmaximal, characteristic, complemented
10#21445915C211yesmaximal, characteristic, complemented
11#21445852C211yesmaximal, characteristic, complemented
12#21445751C211yesmaximal, characteristic
13#21445645C211yesmaximal, characteristic, complemented
14C4×#14519699C211yesmaximal, characteristic, complemented
15C61×#1753C211yesmaximal, characteristic, complemented
16C23×D244C2211yescharacteristic
17C2×C4×D244C2211yescharacteristic
18C2×C4×D244C2211yescharacteristic
19C2×#14519736C2211yescharacteristic
20C2×C22⋊C4×D61—21no—
21C2×#14519711C2211yescharacteristic, complemented
22C2×#14519709C2211yescharacteristic, complemented
23#16839768C418yescomplemented
24C2×#14519699C2211yescharacteristic
25C2×#14519699C2211yescharacteristic
26C2×#14519699C2211yescharacteristic
27C2×#14519699C2211yescharacteristic
28C2×#14519699C2211yescharacteristic
29C2×#14519699C2211yescharacteristic
30C2×#14519699C2211yescharacteristic
31C2×#14519699C2211yescharacteristic
32#16839664C2211yescharacteristic
33#16839664C2211yescharacteristic
34#16839660C2211yescharacteristic, complemented
35#16839660C2211yescharacteristic, complemented
36#16839656—21no—
37#16839656—21no—
38#16839640—21no—
39#16839640—21no—
40#16839629—21no—
41#16839622C2211yescharacteristic
42#16839622C2211yescharacteristic
43#16839617—21no—
44C4×C4⋊Dic61C2211yescharacteristic, complemented
45C4×C4⋊Dic61C2211yescharacteristic, complemented
46#16839613—21no—
47#16839525C2211yescharacteristic, complemented
48#16839525C2211yescharacteristic, complemented
49#16839525C2211yescharacteristic, complemented
50#16839525C2211yescharacteristic, complemented
51#16839525C2211yescharacteristic, complemented
52#16839525C2211yescharacteristic, complemented
53C22×M16×C61C2211yescharacteristic
54C2×C22⋊C8×C61C2211yescharacteristic
55C2×#97×C61C2211yescharacteristic, complemented
56C2×C4×C8×C61C2211yescharacteristic, complemented
57C4×C22⋊C4×C61C2211yescharacteristic
58C61×#336C2211yescharacteristic, complemented
59C61×#336C2211yescharacteristic, complemented
60C24×D61—21no—
61C22×D244—22no—
62C22×D244—22no—
63C22×D244—21no—
64C22×D244—22no—
65C22×D244—41no—
66C22×D244—41no—
67C22×D244C2×C414yes—
68C22×D244C2311yescharacteristic
69C22×D244C2311yescharacteristic
70C22×C4×D61—21no—
71C22×C4×D61—21no—
72C4×D244—22no—
73C4×D244—22no—
74C4×D244—41no—
75C4×D244—41no—
76#14519736—22no—
77#14519736C2×C414yescomplemented
78C2×C4⋊Dic61C2311yescharacteristic
79C2×C4⋊Dic61C2311yescharacteristic
80C2×C4⋊Dic61C2311yescharacteristic
81C2×C4⋊Dic61C2311yescharacteristic
82C2×C4⋊Dic61C2311yescharacteristic
83C2×C4⋊Dic61C2311yescharacteristic
84C2×#11758196—21no—
85C2×#11758196—21no—
86C2×C22⋊Dic61—21no—
87C2×C22⋊Dic61—21no—
88C2×C22⋊Dic61—21no—
89C2×#11758198—21no—
90C2×#11758198—21no—
91C2×#11758198—21no—
92C2×#11758198—21no—
93C2×#11758198—21no—
94C2×#11758198—21no—
95C22⋊C4×D61—44no—
96C2×C4×Dic61—21no—
97C2×C4×Dic61—21no—
98C2×C4×Dic61—21no—
99#14519711—41no—
100#14519709—41no—
101#14519699—22no—
102#14519699—22no—
103#14519699—41no—
104#14519699—41no—
105#14519699C2×C414yes—
106#14519699C2×C414yes—
107#14519699C2×C414yescomplemented
108#14519699C2×C414yescomplemented
109#14519684—21no—
110#14519684—21no—
111#14519684—21no—
112#14519684—21no—
113#14519684—21no—
114#14519684—21no—
115C23×C4×C61C2311yescharacteristic
116C2×M16×C61—41no—
117C2×M16×C61—41no—
118C2×M16×C61C2×C414yescomplemented
119C22×C8×C61C2311yescharacteristic
120C22×C8×C61C2311yescharacteristic
121C22×C8×C61C2311yescharacteristic
122C22×C8×C61C2311yescharacteristic
123C2×C22⋊C4×C61D411yescharacteristic
124C2×C22⋊C4×C61D411yescharacteristic
125C2×C42×C61C2311yescharacteristic
126C2×C42×C61C2311yescharacteristic
127C22⋊C8×C61—22no—
128#97×C61—41no—
129C4×C8×C61—41no—
130#95×C61D411yescharacteristic
131#95×C61D411yescharacteristic
132C24×C61C2×D411yescharacteristic
133C23×D61—21no—
134C23×D61—21no—
135C23×D61—24no—
136C23×D61—42no—
137C23×D61—42no—
138C23×D61—42no—
139C23×D61—42no—
140C23×D61—81no—
141C23×D61—81no—
142C22×C4×C61—21no—
143C22×C4×C61—21no—
144C22×C4×C61—21no—
145C22×C4×C61—21no—
146C22×C4×C61C22×C412yes—
147C22×C4×C61C2×D411yescharacteristic
148C22×C4×C61C2×D411yescharacteristic
149C22×C4×C61C2×D411yescharacteristic
150C22×C4×C61C2×D411yescharacteristic
151C22×C4×C61C2×D411yescharacteristic
152C22×C4×C61#4112yes—
153C22×C4×C61C2411yescharacteristic
154C22×Dic61—21no—
155C22×Dic61—21no—
156C22×Dic61—21no—
157C22×Dic61—21no—
158C22×Dic61—21no—
159C22×Dic61—21no—
160C2×D244—21no—
161C2×D244—21no—
162C2×D244—21no—
163C2×D244—21no—
164C2×D244—21no—
165C2×D244—21no—
166C2×D244—21no—
167C2×D244—28no—
168C2×D244—24no—
169C2×D244—21no—
170C2×D244—44no—
171C2×D244—44no—
172C2×D244—44no—
173C2×D244—42no—
174C2×D244—42no—
175C2×D244C22×C412yes—
176C2×D244C22×C412yes—
177C2×D244#4112yes—
178C2×D244#4112yes—
179C2×C4×D61—42no—
180C2×C4×D61—42no—
181C2×C4×D61—42no—
182C2×C4×D61—42no—
183C2×C4×D61—81no—
184C2×C4×D61—81no—
185M16×C61—44no—
186C2×C8×C61—21no—
187C2×C8×C61—21no—
188C2×C8×C61—21no—
189C2×C8×C61—21no—
190C2×C8×C61—21no—
191C2×C8×C61—21no—
192C2×C8×C61—21no—
193C2×C8×C61—21no—
194C2×C8×C61—21no—
195C2×C8×C61—21no—
196C2×C8×C61C22×C412yes—
197C2×C8×C61C22×C412yes—
198C22⋊C4×C61—22no—
199C22⋊C4×C61—41no—
200C42×C61—21no—
201C42×C61—21no—
202C42×C61—21no—
203C42×C61—21no—
204C22⋊Dic61—24no—
205C22⋊Dic61—42no—
206C22⋊Dic61—81no—
207#11758198—42no—
208#11758198—42no—
209#11758198—42no—
210#11758198—42no—
211#11758198—81no—
212#11758198—81no—
213C4⋊Dic61—21no—
214C4⋊Dic61—21no—
215C4⋊Dic61—21no—
216C4⋊Dic61—21no—
217C4⋊Dic61—21no—
218C4⋊Dic61—21no—
219C4⋊Dic61—21no—
220C4⋊Dic61—21no—
221C4⋊Dic61—21no—
222C4⋊Dic61—21no—
223C4⋊Dic61C22×C412yes—
224C4⋊Dic61C22×C412yes—
225#11758196—42no—
226#11758196—42no—
227C4×Dic61—24no—
228C4×Dic61—81no—
229C4×Dic61—81no—
230C23×C61—21no—
231C23×C61—21no—
232C23×C61—21no—
233C23×C61—21no—
234C23×C61—21no—
235C23×C61—21no—
236C23×C61C4×D412yes—
237C23×C61C22×D411yescharacteristic
238C22×D61—22no—
239C22×D61—22no—
240C22×D61—22no—
241C22×D61—22no—
242C22×D61—48no—
243C22×D61—41no—
244C22×D61—41no—
245C22×D61—41no—
246C22×D61—41no—
247C22×D61—48no—
248C22×D61—41no—
249C22×D61—41no—
250C22×D61—41no—
251C22×D61—41no—
252C22×D61—41no—
253C22×D61—41no—
254C22×D61—84no—
255C22×D61—84no—
256C22×D61—84no—
257C22×D61—84no—
258C22×D61—84no—
259C2×C4×C61—21no—
260C2×C4×C61—21no—
261C2×C4×C61—21no—
262C2×C4×C61—21no—
263C2×C4×C61—22no—
264C2×C4×C61—22no—
265C2×C4×C61—22no—
266C2×C4×C61—22no—
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×C61C4×D412yes—
277C2×C4×C61AGL(1,ℤ/8)12yes—
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
284C2×Dic61—22no—
285C2×Dic61—22no—
286C2×Dic61—41no—
287C2×Dic61—41no—
288C2×Dic61—41no—
289C2×Dic61—41no—
290C2×Dic61—41no—
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—41no—
300C2×Dic61—41no—
301C2×Dic61—41no—
302D244—22no—
303D244—22no—
304D244—22no—
305D244—22no—
306D244—22no—
307D244—48no—
308D244—41no—
309D244—41no—
310D244#11714yes—
311C4×D61—84no—
312C4×D61—84no—
313C8×C61—22no—
314C8×C61—22no—
315C8×C61—41no—
316C8×C61—41no—
317#22580—611nomaximal, Sylow
318C22×C61—22no—
319C22×C61—22no—
320C22×C61—22no—
321C22×C61—41no—
322C22×C61—41no—
323C22×C61—41no—
324C22×C61—41no—
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—24no—
333C2×D61—42no—
334C2×D61—42no—
335C2×D61—42no—
336C2×D61—42no—
337C2×D61—42no—
338C2×D61—42no—
339C2×D61—42no—
340C2×D61—42no—
341C2×D61—42no—
342C2×D61—816no—
343C2×D61—81no—
344C2×D61—81no—
345C2×D61—81no—
346C2×D61—81no—
347C4×C61—22no—
348C4×C61—22no—
349C4×C61—41no—
350C4×C61—41no—
351C4×C61—41no—
352C4×C61C2×#11711yescharacteristic
353C4×C61#51811yescharacteristic
354C4×C61#55111yescharacteristic
355C4×C61#55111yescharacteristic
356Dic61—42no—
357Dic61—42no—
358Dic61—81no—
359Dic61—81no—
360Dic61—81no—
361Dic61—81no—
362C2×#418—611no—
363#2347—611no—
364D4×C22⋊C4—611no—
365#1936—611no—
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#1753D6111yescharacteristic, complemented
377C2×C61—42no—
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—44no—
386D61—82no—
387C23×D4—611no—
388C22×M16C2×D6111yescharacteristic
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×#102—611no—
403C2×#102—611no—
404C2×C22⋊C8C2×D6111yescharacteristic
405C2×#97C2×D6111yescharacteristic, complemented
406C2×C4×C8C2×D6111yescharacteristic, complemented
407#390—611no—
408#390—611no—
409#389—611no—
410#389—611no—
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⋊C4C2×D6111yescharacteristic
423#340—611no—
424#340—611no—
425#340—611no—
426#340—611no—
427#340—611no—
428#340—611no—
429#336C2×D6111yescharacteristic, complemented
430#336C2×D6111yescharacteristic, complemented
431C61#2258011yescharacteristic, complemented, Sylow
432C25—1221no—
433C22×D4—614no—
434C22×D4—611no—
435C22×D4—611no—
436C22×D4—1222no—
437C22×D4—1222no—
438C22×D4—1221no—
439C22×D4—1222no—
440C22×D4—2441no—
441C22×D4—2441no—
442C23×C4—1221no—
443C23×C4—1221no—
444C23×C4C22×D6111yescharacteristic
445C2×M16—41no—
446C2×M16—41no—
447C2×M16C4×D6114yescomplemented
448C22×C8C22×D6111yescharacteristic
449C22×C8C22×D6111yescharacteristic
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—611no—
459C2×C4⋊C4—611no—
460C2×C4⋊C4—611no—
461C2×C4⋊C4—611no—
462C2×C4⋊C4—611no—
463C2×C4⋊C4—611no—
464C2×C4⋊C4—1221no—
465C2×C4⋊C4—1221no—
466C2×C22⋊C4—1221no—
467C2×C22⋊C4—1221no—
468C2×C22⋊C4—1221no—
469C2×C22⋊C4—1221no—
470C2×C22⋊C4—1221no—
471C2×C22⋊C4—1221no—
472C2×C22⋊C4—1221no—
473C2×C22⋊C4—1221no—
474C2×C22⋊C4—1221no—
475C2×C22⋊C4—2444no—
476C2×C22⋊C4D24411yescharacteristic
477C2×C22⋊C4D24411yescharacteristic
478C2×C42—1221no—
479C2×C42—1221no—
480C2×C42—1221no—
481C2×C42C22×D6111yescharacteristic
482C2×C42C22×D6111yescharacteristic
483#107—2441no—
484#106—2441no—
485#102—614no—
486#102—614no—
487#102—614no—
488#102—614no—
489#102—1222no—
490#102—1222no—
491#102—2441no—
492#102—2441no—
493C22⋊C8—22no—
494#97—41no—
495C4×C8—41no—
496#95—1221no—
497#95—1221no—
498#95—1221no—
499#95—1221no—
500#95—1221no—
501#95—1221no—
502#95D24411yescharacteristic
503#95D24411yescharacteristic
504C24—1221no—
505C24—1224no—
506C24—1221no—
507C24—4881no—
508C24—4881no—
509C24—2442no—
510C24—2442no—
511C24—2442no—
512C24—2442no—
513C24C2×D24411yescharacteristic
514C2×D4—612no—
515C2×D4—612no—
516C2×D4—612no—
517C2×D4—612no—
518C2×D4—1228no—
519C2×D4—1221no—
520C2×D4—1221no—
521C2×D4—1221no—
522C2×D4—1221no—
523C2×D4—1221no—
524C2×D4—1221no—
525C2×D4—1221no—
526C2×D4—1221no—
527C2×D4—1224no—
528C2×D4—2444no—
529C2×D4—2444no—
530C2×D4—2444no—
531C2×D4—2442no—
532C2×D4—2442no—
533C22×C4—21no—
534C22×C4—21no—
535C22×C4—21no—
536C22×C4—21no—
537C22×C4—1221no—
538C22×C4—1221no—
539C22×C4—1221no—
540C22×C4—1221no—
541C22×C4—1221no—
542C22×C4—1221no—
543C22×C4—4881no—
544C22×C4—4881no—
545C22×C4—2442no—
546C22×C4—2442no—
547C22×C4—2442no—
548C22×C4—2442no—
549C22×C4C2×C4×D6112yes—
550C22×C4C2×D24411yescharacteristic
551C22×C4C2×D24411yescharacteristic
552C22×C4C2×D24411yescharacteristic
553C22×C4C2×D24411yescharacteristic
554C22×C4C2×D24411yescharacteristic
555C22×C4#1175822212yes—
556C22×C4C23×D6111yescharacteristic
557M16—44no—
558C2×C8—21no—
559C2×C8—21no—
560C2×C8—21no—
561C2×C8—21no—
562C2×C8—21no—
563C2×C8—21no—
564C2×C8—21no—
565C2×C8—21no—
566C2×C8—21no—
567C2×C8—21no—
568C2×C8C2×C4×D6112yes—
569C2×C8C2×C4×D6112yes—
570C4⋊C4—612no—
571C4⋊C4—612no—
572C4⋊C4—1221no—
573C4⋊C4—1221no—
574C4⋊C4—1221no—
575C4⋊C4—1221no—
576C4⋊C4—1221no—
577C4⋊C4—1221no—
578C4⋊C4—1221no—
579C4⋊C4—1221no—
580C4⋊C4—1221no—
581C4⋊C4—1221no—
582C4⋊C4—2442no—
583C4⋊C4—2442no—
584C22⋊C4—22no—
585C22⋊C4—41no—
586C22⋊C4—1224no—
587C22⋊C4—4881no—
588C22⋊C4—4881no—
589C22⋊C4—4881no—
590C22⋊C4—2442no—
591C22⋊C4—2442no—
592C22⋊C4—2442no—
593C22⋊C4—2442no—
594C22⋊C4—2442no—
595C42—21no—
596C42—21no—
597C42—21no—
598C42—21no—
599C42—1224no—
600C42—4881no—
601C42—4881no—
602C23—21no—
603C23—21no—
604C23—21no—
605C23—21no—
606C23—21no—
607C23—21no—
608C23—1222no—
609C23—1222no—
610C23—1222no—
611C23—1222no—
612C23—4884no—
613C23—4884no—
614C23—4884no—
615C23—4884no—
616C23—4884no—
617C23—2448no—
618C23—2448no—
619C23—2441no—
620C23—2441no—
621C23—2441no—
622C23—2441no—
623C23—2441no—
624C23—2441no—
625C23—2441no—
626C23—2441no—
627C23—2441no—
628C23—2441no—
629C23C4×D24412yes—
630C23C22×D24411yescharacteristic
631D4—614no—
632D4—1222no—
633D4—1222no—
634D4—1222no—
635D4—1222no—
636D4—1222no—
637D4—2448no—
638D4—2441no—
639D4—2441no—
640C2×C4—21no—
641C2×C4—21no—
642C2×C4—21no—
643C2×C4—21no—
644C2×C4—22no—
645C2×C4—22no—
646C2×C4—22no—
647C2×C4—22no—
648C2×C4—21no—
649C2×C4—21no—
650C2×C4—21no—
651C2×C4—21no—
652C2×C4—21no—
653C2×C4—21no—
654C2×C4—21no—
655C2×C4—21no—
656C2×C4—21no—
657C2×C4—1222no—
658C2×C4—1222no—
659C2×C4—4884no—
660C2×C4—4884no—
661C2×C4—2441no—
662C2×C4—2441no—
663C2×C4—2441no—
664C2×C4—2441no—
665C2×C4—2441no—
666C2×C4—2441no—
667C2×C4—2441no—
668C2×C4—2441no—
669C2×C4—2441no—
670C2×C4—2441no—
671C2×C4—2441no—
672C2×C4—2441no—
673C2×C4—2441no—
674C2×C4—2441no—
675C2×C4—2441no—
676C2×C4—2441no—
677C2×C4C4×D24412yes—
678C2×C4#1451980512yes—
679C2×C4C22×C4×D6111yescharacteristic
680C2×C4#41×D6111yescharacteristic
681C2×C4#41×D6111yescharacteristic
682C2×C4C2×#1175822211yescharacteristic
683C2×C4#1451982211yescharacteristic
684C2×C4#1451982211yescharacteristic
685C8—22no—
686C8—22no—
687C8—41no—
688C8—41no—
689C22—22no—
690C22—22no—
691C22—22no—
692C22—41no—
693C22—41no—
694C22—41no—
695C22—41no—
696C22—1224no—
697C22—48816no—
698C22—4881no—
699C22—4881no—
700C22—4881no—
701C22—4881no—
702C22—2442no—
703C22—2442no—
704C22—2442no—
705C22—2442no—
706C22—2442no—
707C22—2442no—
708C22—2442no—
709C22—2442no—
710C22—2442no—
711C22C2×C4×D24411yescharacteristic
712C22#1684040711yescharacteristic
713C22#1684040711yescharacteristic
714C22C2×#1451980511yescharacteristic
715C22#1684056211yescharacteristic
716C22#1684056711yescharacteristic
717C22#1684057411yescharacteristic
718C4—22no—
719C4—22no—
720C4—41no—
721C4—41no—
722C4—41no—
723C4—4881no—
724C4—4881no—
725C4—4881no—
726C4—4881no—
727C4—2442no—
728C4—2442no—
729C4#117×D6111yescharacteristic
730C4#1684023511yescharacteristic
731C4#1684044111yescharacteristic
732C4#1684044111yescharacteristic
733C2—42no—
734C2—4882no—
735C2—2444no—
736C2#2144867111yescharacteristic
737C2C4×#1451980511yescharacteristic
738C2#2145465311yescharacteristic
739C2#2145785711yescharacteristic
740C2#2145796211yescharacteristic
741C2#2145802211yescharacteristic
742C2#2145805111yescharacteristic
subgroupG/H
centerC23C22×D244
commutatorC2×C4×C61C23×C4
FrattiniC22×C4C23×D61
FittingC61×#1753C2
socleC23×C61C22×D4
prime radicalC23×D244C22
cosocleC22×C4×C61C24
hypercenter#1753D61
hypocenterC61#22580
LCSG ▷ C2×C4×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C23 ◁ C4×C22⋊C4 ◁ #1753

Complements

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

NH ≅ G/Ntype
2. #21448710C2semidirect
4. #21446516C2semidirect
5. #21446502C2semidirect
6. #21446447C2semidirect
7. #21446440C2semidirect
8. #21446083C2semidirect
9. #21446069C2semidirect
10. #21445915C2semidirect
11. #21445852C2semidirect
13. #21445645C2semidirect
14. C4×#14519699C2semidirect
15. C61×#1753C2semidirect
21. C2×#14519711C22semidirect
22. C2×#14519709C22semidirect
23. #16839768C4semidirect
34. #16839660C22semidirect
35. #16839660C22semidirect
44. C4×C4⋊Dic61C22semidirect
45. C4×C4⋊Dic61C22semidirect
47. #16839525C22semidirect
48. #16839525C22semidirect
49. #16839525C22semidirect
50. #16839525C22semidirect
51. #16839525C22semidirect
52. #16839525C22semidirect
55. C2×#97×C61C22semidirect
56. C2×C4×C8×C61C22semidirect
58. C61×#336C22semidirect
59. C61×#336C22semidirect
77. #14519736C2×C4semidirect
107. #14519699C2×C4semidirect
108. #14519699C2×C4semidirect
118. C2×M16×C61C2×C4semidirect
376. #1753D61semidirect
405. C2×#97C2×D61semidirect
406. C2×C4×C8C2×D61semidirect
429. #336C2×D61semidirect
430. #336C2×D61semidirect
431. C61#22580semidirect
447. C2×M16C4×D61semidirect

Maximal subgroups

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

subgroupindex
C2×#168397682
#214487102
C22⋊C4×D2442
#214465162
#214465022
#214464472
#214464402
#214460832
#214460692
#214459152
#214458522
#214457512
#214456452
C4×#145196992
C61×#17532
#2258061