Finite Group Databasebeta

← #28323678

Subgroups — #28323678

Order 13568.

832 conjugacy classes of subgroups.

The subgroup lattice has 730 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#20290838C211yesmaximal, characteristic, complemented
2#20290836C211yesmaximal, characteristic, complemented
3#20290790C211yesmaximal, characteristic, complemented
4#20290788C211yesmaximal, characteristic, complemented
5#20290771C211yesmaximal, characteristic, complemented
6#20290768C211yesmaximal, characteristic, complemented
7#20290690C211yesmaximal, characteristic, complemented
8#20290689C211yesmaximal, characteristic, complemented
9#20290689C211yesmaximal, characteristic, complemented
10#20290688C211yesmaximal, characteristic, complemented
11#20290608C211yesmaximal, characteristic, complemented
12#20290449C211yesmaximal, characteristic, complemented
13C22⋊C4×#88324C211yesmaximal, characteristic, complemented
14#20290445C211yesmaximal, characteristic, complemented
15#20277958C211yesmaximal, characteristic
16C22×D53⋊C8C2211yescharacteristic
17C23×#88324C2211yescharacteristic
18C2×#13133284C2211yescharacteristic
19C2×C4⋊#88324C2211yescharacteristic
20C2×#13133274C2211yescharacteristic
21C2×#13133274C2211yescharacteristic
22C2×#13133274C2211yescharacteristic
23C2×C22⋊#88324C2211yescharacteristic
24C2×C22⋊#88324C2211yescharacteristic
25C2×C22⋊#88324C2211yescharacteristic
26C2×C22⋊#88324C2211yescharacteristic
27C2×C22⋊#88324C2211yescharacteristic
28C2×C22⋊#88324C2211yescharacteristic
29C2×C22⋊#88324C2211yescharacteristic
30C2×#13133272C2211yescharacteristic
31C2×C4×#88324C2211yescharacteristic
32C2×C4×#88324C2211yescharacteristic
33C2×C4×#88324C2211yescharacteristic
34#16811489C2211yescharacteristic
35#16811489C2211yescharacteristic
36#16811489C2211yescharacteristic
37#16811489C2211yescharacteristic
38#16811489C2211yescharacteristic
39#16811489C2211yescharacteristic
40#16811489C2211yescharacteristic
41#16811489C2211yescharacteristic
42#16811489C2211yescharacteristic
43#16811489C2211yescharacteristic
44C2×D4×Dic53C2211yescharacteristic
45C2×#13133177C2211yescharacteristic
46C2×#13133177C2211yescharacteristic
47C2×#13133173C2211yescharacteristic
48#16810557C411yescharacteristic
49#16810551C411yescharacteristic
50#16810546C411yescharacteristic
51#16810545C411yescharacteristic
52#16810539C411yescharacteristic
53#16810538C411yescharacteristic
54#16810531C411yescharacteristic
55C4⋊C4×Dic53C2211yescharacteristic
56C22⋊C4×Dic53C2211yescharacteristic
57#16810470C2211yescharacteristic
58C53×#394C411yescharacteristic
59C2×D53⋊C8—22no—
60C2×D53⋊C8—41no—
61C2×D53⋊C8—41no—
62C22×#88324—22no—
63C22×#88324—41no—
64C22×#88324—41no—
65C22×#88324C2311yescharacteristic
66C22×#88324C2311yescharacteristic
67C22×#88324C2311yescharacteristic
68C22×#88324C2311yescharacteristic
69C22×#88324C2311yescharacteristic
70C22×#88324C2311yescharacteristic
71C22×#88324C2311yescharacteristic
72C22×#88324C2311yescharacteristic
73#13133284—41no—
74C4⋊#88324—41no—
75#13133274—22no—
76#13133274—41no—
77#13133274—41no—
78C22⋊#88324—22no—
79C22⋊#88324—22no—
80C22⋊#88324—22no—
81C22⋊#88324—41no—
82C22⋊#88324—41no—
83C22⋊#88324—41no—
84C22⋊#88324—41no—
85#13133272—41no—
86C4×#88324—41no—
87C4×#88324—41no—
88C4×#88324—41no—
89C22×C22⋊D53C2×C411yescharacteristic
90C22×C22⋊D53C2×C411yescharacteristic
91C23×Dic53C2311yescharacteristic
92C23×Dic53C2311yescharacteristic
93C22×C4×D53C2311yescharacteristic
94D4×Dic53—41no—
95D4×Dic53—41no—
96#13133177—41no—
97#13133177—41no—
98#13133177—41no—
99#13133177—41no—
100#13133173—41no—
101#13133173—41no—
102C2×C4⋊Dic53C2×C411yescharacteristic
103C2×C4⋊Dic53C2×C411yescharacteristic
104C2×#11719919C2×C411yescharacteristic
105C2×#11719919C2×C411yescharacteristic
106C2×#11719919C2×C411yescharacteristic
107C2×#11719919C2×C411yescharacteristic
108C2×C22⋊Dic53C2×C411yescharacteristic
109C2×C22⋊Dic53C2×C411yescharacteristic
110C2×C22⋊Dic53C2×C411yescharacteristic
111C2×C22⋊Dic53C2×C411yescharacteristic
112C2×#11719921C2×C411yescharacteristic
113C2×#11719921C2×C411yescharacteristic
114C2×#11719921C2×C411yescharacteristic
115C2×#11719921C2×C411yescharacteristic
116C2×C4×Dic53C2311yescharacteristic
117C2×C4×Dic53C2311yescharacteristic
118C2×C4×Dic53C2311yescharacteristic
119C2×C4×Dic53C2311yescharacteristic
120#13133124C2×C411yescharacteristic
121#13133124C2×C411yescharacteristic
122#13133124C2×C411yescharacteristic
123#13133124C2×C411yescharacteristic
124#13133124C2×C411yescharacteristic
125C22×D4×C53C2×C411yescharacteristic
126C2×C4⋊C4×C53C2×C411yescharacteristic
127C2×C22⋊C4×C53C2×C411yescharacteristic
128C2×C22⋊C4×C53C2×C411yescharacteristic
129C2×C22⋊C4×C53C2×C411yescharacteristic
130C2×C22⋊C4×C53C2×C411yescharacteristic
131#95×C53C2×C411yescharacteristic
132C24×C53C22×C411yescharacteristic
133C24×C53C22×C411yescharacteristic
134C23×D53C22×C411yescharacteristic
135C2×D4×C53—22no—
136C2×D4×C53—22no—
137C2×D4×C53—41no—
138C22×C4×C53C22×C411yescharacteristic
139C22×C4×C53C22×C411yescharacteristic
140C22×C4×C53C22×C411yescharacteristic
141C22×C4×C53C22×C411yescharacteristic
142C22×C4×C53C22×C411yescharacteristic
143C2×C22⋊D53—22no—
144C2×C22⋊D53—22no—
145C2×C22⋊D53—22no—
146C2×C22⋊D53—22no—
147C2×C22⋊D53—41no—
148C2×C22⋊D53—41no—
149C22×Dic53—21no—
150C22×Dic53—21no—
151C22×Dic53—21no—
152C22×Dic53—21no—
153C22×Dic53—21no—
154C22×Dic53—21no—
155C22×Dic53—21no—
156C22×Dic53—21no—
157C22×Dic53—21no—
158C22×Dic53—21no—
159C22×Dic53—21no—
160C22×Dic53—21no—
161C22×Dic53C22×C411yescharacteristic
162C22×Dic53C22×C411yescharacteristic
163C22×Dic53C22×C411yescharacteristic
164C22×Dic53C22×C411yescharacteristic
165C22×Dic53C22×C411yescharacteristic
166C22×Dic53C22×C411yescharacteristic
167C22×Dic53C2411yescharacteristic
168C2×C4×D53—21no—
169C2×C4×D53—21no—
170C2×C4×D53—21no—
171C2×C4×D53—21no—
172C2×C4×D53—21no—
173C2×C4×D53—21no—
174C2×#88324—21no—
175C2×#88324—21no—
176C2×#88324—21no—
177C2×#88324—21no—
178C2×#88324—21no—
179C2×#88324—21no—
180C2×#88324—21no—
181C2×#88324—21no—
182C2×#88324—21no—
183C2×#88324—21no—
184C2×#88324—21no—
185C2×#88324—21no—
186C2×#88324—21no—
187C2×#88324—21no—
188C2×#88324—21no—
189C2×#88324—21no—
190C2×#88324—21no—
191C2×#88324—21no—
192C2×#88324—21no—
193C2×#88324—21no—
194C2×#88324—21no—
195C2×#88324—21no—
196C2×#88324—44no—
197C2×#88324#4112yes—
198C2×#88324#4112yes—
199D53⋊C8—44no—
200C4⋊C4×C53—22no—
201C22⋊C4×C53—22no—
202C22⋊C4×C53—41no—
203C22⋊C4×C53—41no—
204C22⋊C4×C53—41no—
205C22⋊Dic53—22no—
206C22⋊Dic53—41no—
207C22⋊Dic53—41no—
208C22⋊Dic53—41no—
209#11719921—22no—
210#11719921—22no—
211#11719921—41no—
212#11719921—41no—
213C4⋊Dic53—22no—
214C4⋊Dic53—41no—
215#11719919—41no—
216#11719919—41no—
217#11719919—41no—
218#11719919—41no—
219C4×Dic53—21no—
220C4×Dic53—21no—
221C4×Dic53—21no—
222C4×Dic53—21no—
223C4×Dic53—21no—
224C4×Dic53—21no—
225C4×Dic53—21no—
226C4×Dic53—21no—
227C23×C53—21no—
228C23×C53—21no—
229C23×C53—21no—
230C23×C53—21no—
231C23×C53—21no—
232C23×C53—21no—
233C23×C53—21no—
234C23×C53—21no—
235C23×C53—21no—
236C23×C53—21no—
237C23×C53—21no—
238C23×C53—21no—
239C23×C53—21no—
240C23×C53#13112yes—
241C23×C53C23×C411yescharacteristic
242C22×D53—21no—
243C22×D53—21no—
244C22×D53—21no—
245C22×D53—21no—
246C22×D53—21no—
247C22×D53—21no—
248C22×D53#13112yes—
249D4×C53—44no—
250C2×C4×C53—21no—
251C2×C4×C53—21no—
252C2×C4×C53—21no—
253C2×C4×C53—21no—
254C2×C4×C53—21no—
255C2×C4×C53—21no—
256C2×C4×C53—21no—
257C2×C4×C53—21no—
258C2×C4×C53—21no—
259C2×C4×C53—21no—
260C2×C4×C53—21no—
261C2×C4×C53—21no—
262C2×C4×C53—21no—
263C2×C4×C53—21no—
264C2×C4×C53#13112yes—
265C22⋊D53—44no—
266C22⋊D53—44no—
267C2×Dic53—21no—
268C2×Dic53—21no—
269C2×Dic53—21no—
270C2×Dic53—21no—
271C2×Dic53—21no—
272C2×Dic53—21no—
273C2×Dic53—21no—
274C2×Dic53—21no—
275C2×Dic53—21no—
276C2×Dic53—21no—
277C2×Dic53—21no—
278C2×Dic53—21no—
279C2×Dic53—21no—
280C2×Dic53—21no—
281C2×Dic53—21no—
282C2×Dic53—21no—
283C2×Dic53—21no—
284C2×Dic53—41no—
285C2×Dic53—41no—
286C2×Dic53—41no—
287C2×Dic53—41no—
288C2×Dic53—41no—
289C2×Dic53—41no—
290C2×Dic53—41no—
291C2×Dic53—41no—
292C2×Dic53#13112yes—
293C2×Dic53C2×#4111yescharacteristic
294C2×Dic53C2×#4111yescharacteristic
295C2×Dic53H(5,𝔽2)11yescharacteristic
296C2×Dic53H(5,𝔽2)11yescharacteristic
297C2×Dic53H(5,𝔽2)11yescharacteristic
298C2×Dic53H(5,𝔽2)11yescharacteristic
299C4×D53—41no—
300C4×D53—41no—
301C4×D53—41no—
302C4×D53—41no—
303#88324—22no—
304#88324—22no—
305#88324—41no—
306#88324—41no—
307#88324—41no—
308#88324—41no—
309#88324—41no—
310#88324—41no—
311#22330—531nomaximal, Sylow
312C22×C53—22no—
313C22×C53—22no—
314C22×C53—22no—
315C22×C53—41no—
316C22×C53—41no—
317C22×C53—41no—
318C22×C53—41no—
319C22×C53—41no—
320C22×C53—41no—
321C22×C53—41no—
322C22×C53—41no—
323C22×C53—41no—
324C22×C53—41no—
325C22×C53—41no—
326C22×C53C4×#4111yescharacteristic
327C22×C53#51811yescharacteristic
328C22×C53#51811yescharacteristic
329C22×C53C2×#13111yescharacteristic
330C22×C53C2×#13111yescharacteristic
331C22×C53C2×#13111yescharacteristic
332C22×C53C2×#13111yescharacteristic
333C2×D53—22no—
334C2×D53—22no—
335C2×D53—22no—
336C2×D53—41no—
337C2×D53—41no—
338C2×D53—41no—
339C2×D53—41no—
340C4×C53—22no—
341C4×C53—41no—
342C4×C53—41no—
343C4×C53—41no—
344C4×C53—41no—
345Dic53—22no—
346Dic53—41no—
347Dic53—41no—
348Dic53—41no—
349Dic53—41no—
350Dic53—41no—
351Dic53#53811yescharacteristic
352Dic53#53811yescharacteristic
353Dic53#54011yescharacteristic
354Dic53#54011yescharacteristic
355#2392—531no—
356#1954—531no—
357#1954—531no—
358#1924—531no—
359#1924—531no—
360#1916—531no—
361#1916—531no—
362#1869—531no—
363#1869—531no—
364#1869—531no—
365#1869—531no—
366#1818—531no—
367C8×C22⋊C4—531no—
368C8×C22⋊C4—531no—
369#1750—531no—
370C2×C53—42no—
371C2×C53—81no—
372C2×C53#233311yescharacteristic
373C2×C53#296611yescharacteristic
374C2×C53#296611yescharacteristic
375C2×C53#297711yescharacteristic
376C2×C53#297711yescharacteristic
377C2×C53#297711yescharacteristic
378C2×C53#297911yescharacteristic
379D53—42no—
380C23×C8—531no—
381C23×C8—531no—
382C2×C4×D4—531no—
383C2×C4×D4—531no—
384C2×C4×D4—531no—
385C2×#117—531no—
386C2×C4⋊C8—531no—
387C2×C4⋊C8—531no—
388C2×C22⋊C8—531no—
389C2×C22⋊C8—531no—
390C2×C22⋊C8—531no—
391C2×C22⋊C8—531no—
392C2×C22⋊C8—531no—
393C2×C22⋊C8—531no—
394C2×C22⋊C8—531no—
395C2×C22⋊C8—531no—
396C2×C22⋊C8—531no—
397C2×C22⋊C8—531no—
398C2×#97—531no—
399C2×C4×C8—531no—
400C2×C4×C8—531no—
401C2×C4×C8—531no—
402#398—531no—
403#397—531no—
404#396—531no—
405#396—531no—
406#394—531no—
407#394—531no—
408#394#615711yescharacteristic
409#392—531no—
410C4×C4⋊C4—531no—
411C4×C22⋊C4—531no—
412C4×C22⋊C4—531no—
413#336—531no—
414#336—531no—
415#336—531no—
416#336—531no—
417#336—531no—
418#336—531no—
419#336—531no—
420#336—531no—
421#336—531no—
422#336—531no—
423C53#2233011yescharacteristic, complemented, Sylow
424C22×D4—531no—
425C22×D4—531no—
426C22×D4C2×#615711yescharacteristic
427C23×C4—531no—
428C23×C4—531no—
429C23×C4—531no—
430C22×C8—531no—
431C22×C8—531no—
432C22×C8—531no—
433C22×C8—531no—
434C22×C8—531no—
435C22×C8—531no—
436C22×C8—531no—
437C22×C8—531no—
438C22×C8—1062no—
439C22×C8—1062no—
440C22×C8—2121no—
441C22×C8—2121no—
442C22×C8—2121no—
443C22×C8—2121no—
444C4×D4—2121no—
445C4×D4—2121no—
446C4×D4—2121no—
447C4×D4—2121no—
448C4×D4—2121no—
449C4×D4—2121no—
450#117—2121no—
451#117—2121no—
452C2×C4⋊C4—531no—
453C2×C4⋊C4—531no—
454C2×C4⋊C4—531no—
455C2×C4⋊C4—531no—
456C2×C4⋊C4—531no—
457C2×C4⋊C4—531no—
458C2×C4⋊C4C2×#615711yescharacteristic
459C2×C22⋊C4—531no—
460C2×C22⋊C4—531no—
461C2×C22⋊C4—531no—
462C2×C22⋊C4—531no—
463C2×C22⋊C4—531no—
464C2×C22⋊C4—531no—
465C2×C22⋊C4—531no—
466C2×C22⋊C4—531no—
467C2×C22⋊C4C2×#615711yescharacteristic
468C2×C22⋊C4C2×#615711yescharacteristic
469C2×C22⋊C4C2×#615711yescharacteristic
470C2×C22⋊C4C2×#615711yescharacteristic
471C2×C42—531no—
472C2×C42—531no—
473C2×C42—531no—
474C2×C42—531no—
475C4⋊C8—2121no—
476C4⋊C8—2121no—
477C22⋊C8—1062no—
478C22⋊C8—1062no—
479C22⋊C8—1062no—
480C22⋊C8—1062no—
481C22⋊C8—2121no—
482C22⋊C8—2121no—
483C22⋊C8—2121no—
484C22⋊C8—2121no—
485C22⋊C8—2121no—
486C22⋊C8—2121no—
487#97—2121no—
488C4×C8—2121no—
489C4×C8—2121no—
490C4×C8—2121no—
491#95—531no—
492#95—531no—
493#95—531no—
494#95—531no—
495#95—531no—
496#95C2×#615711yescharacteristic
497C24—531no—
498C24C22×#615711yescharacteristic
499C24C22×#615711yescharacteristic
500C2×D4—22no—
501C2×D4—22no—
502C2×D4—41no—
503C2×D4—1062no—
504C2×D4—1062no—
505C2×D4—1062no—
506C2×D4—1062no—
507C2×D4—2121no—
508C2×D4—2121no—
509C22×C4—531no—
510C22×C4—531no—
511C22×C4—531no—
512C22×C4—531no—
513C22×C4—531no—
514C22×C4—531no—
515C22×C4—531no—
516C22×C4—1061no—
517C22×C4—1061no—
518C22×C4—1061no—
519C22×C4—1061no—
520C22×C4—1061no—
521C22×C4—1061no—
522C22×C4—1061no—
523C22×C4—1061no—
524C22×C4—1061no—
525C22×C4—1061no—
526C22×C4—1061no—
527C22×C4—1061no—
528C22×C4—1061no—
529C22×C4—1061no—
530C22×C4—1061no—
531C22×C4—1061no—
532C22×C4—1061no—
533C22×C4—1061no—
534C22×C4C22×#615711yescharacteristic
535C22×C4C22×#615711yescharacteristic
536C22×C4C22×#615711yescharacteristic
537C22×C4C22×#615711yescharacteristic
538C22×C4C22×#615711yescharacteristic
539C2×C8—532no—
540C2×C8—532no—
541C2×C8—1061no—
542C2×C8—1061no—
543C2×C8—1061no—
544C2×C8—1061no—
545C2×C8—1061no—
546C2×C8—1061no—
547C2×C8—1061no—
548C2×C8—1061no—
549C2×C8—1061no—
550C2×C8—1061no—
551C2×C8—1061no—
552C2×C8—1061no—
553C2×C8—1061no—
554C2×C8—1061no—
555C2×C8—1061no—
556C2×C8—1061no—
557C2×C8—1061no—
558C2×C8—1061no—
559C2×C8—1061no—
560C2×C8—1061no—
561C2×C8—1061no—
562C2×C8—1061no—
563C2×C8—2124no—
564C2×C8—2124no—
565C4⋊C4—22no—
566C4⋊C4—1062no—
567C4⋊C4—2121no—
568C4⋊C4—2121no—
569C4⋊C4—2121no—
570C4⋊C4—2121no—
571C4⋊C4—2121no—
572C22⋊C4—22no—
573C22⋊C4—41no—
574C22⋊C4—41no—
575C22⋊C4—41no—
576C22⋊C4—1062no—
577C22⋊C4—1062no—
578C22⋊C4—1062no—
579C22⋊C4—2121no—
580C22⋊C4—2121no—
581C22⋊C4—2121no—
582C22⋊C4—2121no—
583C22⋊C4—2121no—
584C42—1061no—
585C42—1061no—
586C42—1061no—
587C42—1061no—
588C42—1061no—
589C42—1061no—
590C42—1061no—
591C42—1061no—
592C23—21no—
593C23—21no—
594C23—21no—
595C23—21no—
596C23—21no—
597C23—21no—
598C23—21no—
599C23—21no—
600C23—21no—
601C23—21no—
602C23—21no—
603C23—21no—
604C23—21no—
605C23—532no—
606C23—1061no—
607C23—1061no—
608C23—1061no—
609C23—1061no—
610C23—1061no—
611C23—1061no—
612C23#1313330412yes—
613C23C23×#615711yescharacteristic
614D4—44no—
615D4—2124no—
616D4—2124no—
617C2×C4—21no—
618C2×C4—21no—
619C2×C4—21no—
620C2×C4—21no—
621C2×C4—21no—
622C2×C4—21no—
623C2×C4—21no—
624C2×C4—21no—
625C2×C4—21no—
626C2×C4—21no—
627C2×C4—21no—
628C2×C4—21no—
629C2×C4—21no—
630C2×C4—21no—
631C2×C4—531no—
632C2×C4—531no—
633C2×C4—531no—
634C2×C4—531no—
635C2×C4—531no—
636C2×C4—531no—
637C2×C4—532no—
638C2×C4—1061no—
639C2×C4—1061no—
640C2×C4—1061no—
641C2×C4—1061no—
642C2×C4—1061no—
643C2×C4—1061no—
644C2×C4—1061no—
645C2×C4—1061no—
646C2×C4—1061no—
647C2×C4—1061no—
648C2×C4—1061no—
649C2×C4—1061no—
650C2×C4—1061no—
651C2×C4—1061no—
652C2×C4—1061no—
653C2×C4—1061no—
654C2×C4—1061no—
655C2×C4—2121no—
656C2×C4—2121no—
657C2×C4—2121no—
658C2×C4—2121no—
659C2×C4—2121no—
660C2×C4—2121no—
661C2×C4—2121no—
662C2×C4—2121no—
663C2×C4—2121no—
664C2×C4—2121no—
665C2×C4—2121no—
666C2×C4—2121no—
667C2×C4#1313330412yes—
668C8—1062no—
669C8—1062no—
670C8—2121no—
671C8—2121no—
672C8—2121no—
673C8—2121no—
674C8—2121no—
675C8—2121no—
676C22—22no—
677C22—22no—
678C22—22no—
679C22—41no—
680C22—41no—
681C22—41no—
682C22—41no—
683C22—41no—
684C22—41no—
685C22—41no—
686C22—41no—
687C22—41no—
688C22—41no—
689C22—41no—
690C22—1062no—
691C22—1062no—
692C22—1062no—
693C22—2121no—
694C22—2121no—
695C22—2121no—
696C22—2121no—
697C22#41×#615711yescharacteristic
698C22#1681169011yescharacteristic
699C22#1681169011yescharacteristic
700C22C2×#1313330411yescharacteristic
701C22C2×#1313330411yescharacteristic
702C22D53⋊#13111yescharacteristic
703C22D53⋊#13111yescharacteristic
704C4—22no—
705C4—41no—
706C4—41no—
707C4—41no—
708C4—41no—
709C4—531no—
710C4—531no—
711C4—531no—
712C4—531no—
713C4—1062no—
714C4—2121no—
715C4—2121no—
716C4—2121no—
717C4—2121no—
718C4—2121no—
719C2—42no—
720C2—81no—
721C2—2122no—
722C2#2029121211yescharacteristic
723C2#2029152911yescharacteristic
724C2#2029153011yescharacteristic
725C2#2029158711yescharacteristic
726C2#2029158811yescharacteristic
727C2#2029158911yescharacteristic
728C2#2029159511yescharacteristic
subgroupG/H
center, FrattiniC23C23×#6157
commutator, socleC23×C53C23×C4
FittingC53×#394C4
prime radical#16810531C4
cosocleC22×Dic53C24
hypercenter#394#6157
hypocenterC53#22330
LCSG ▷ C23×C53 ▷ C53
UCSC1 ◁ C23 ◁ #394

Complements

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

NH ≅ G/Ntype
1. #20290838C2semidirect
2. #20290836C2semidirect
3. #20290790C2semidirect
4. #20290788C2semidirect
5. #20290771C2semidirect
6. #20290768C2semidirect
7. #20290690C2semidirect
8. #20290689C2semidirect
9. #20290689C2semidirect
10. #20290688C2semidirect
11. #20290608C2semidirect
12. #20290449C2semidirect
13. C22⋊C4×#88324C2semidirect
14. #20290445C2semidirect
423. C53#22330semidirect

Maximal subgroups

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

subgroupindex
#202908382
#202908362
#202907902
#202907882
#202907712
#202907682
#202906902
#202906892
#202906882
#202906082
#202904492
C22⋊C4×#883242
#202904452
#202779582
#2233053