Finite Group Databasebeta

← #30619599

Subgroups — #30619599

Order 15616.

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#21461942C211yesmaximal, characteristic, complemented
2#21461940C211yesmaximal, characteristic, complemented
3#21461894C211yesmaximal, characteristic, complemented
4#21461892C211yesmaximal, characteristic, complemented
5#21461875C211yesmaximal, characteristic, complemented
6#21461872C211yesmaximal, characteristic, complemented
7#21461794C211yesmaximal, characteristic, complemented
8#21461793C211yesmaximal, characteristic, complemented
9#21461793C211yesmaximal, characteristic, complemented
10#21461792C211yesmaximal, characteristic, complemented
11#21461712C211yesmaximal, characteristic, complemented
12#21461553C211yesmaximal, characteristic, complemented
13C22⋊C4×#92420C211yesmaximal, characteristic, complemented
14#21461549C211yesmaximal, characteristic, complemented
15#21449062C211yesmaximal, characteristic
16C22×D61⋊C8C2211yescharacteristic
17C23×#92420C2211yescharacteristic
18C2×#14519844C2211yescharacteristic
19C2×C4⋊#92420C2211yescharacteristic
20C2×#14519834C2211yescharacteristic
21C2×#14519834C2211yescharacteristic
22C2×#14519834C2211yescharacteristic
23C2×C22⋊#92420C2211yescharacteristic
24C2×C22⋊#92420C2211yescharacteristic
25C2×C22⋊#92420C2211yescharacteristic
26C2×C22⋊#92420C2211yescharacteristic
27C2×C22⋊#92420C2211yescharacteristic
28C2×C22⋊#92420C2211yescharacteristic
29C2×C22⋊#92420C2211yescharacteristic
30C2×#14519832C2211yescharacteristic
31C2×C4×#92420C2211yescharacteristic
32C2×C4×#92420C2211yescharacteristic
33C2×C4×#92420C2211yescharacteristic
34#16840628C2211yescharacteristic
35#16840628C2211yescharacteristic
36#16840628C2211yescharacteristic
37#16840628C2211yescharacteristic
38#16840628C2211yescharacteristic
39#16840628C2211yescharacteristic
40#16840628C2211yescharacteristic
41#16840628C2211yescharacteristic
42#16840628C2211yescharacteristic
43#16840628C2211yescharacteristic
44C2×D4×Dic61C2211yescharacteristic
45C2×#14519737C2211yescharacteristic
46C2×#14519737C2211yescharacteristic
47C2×#14519733C2211yescharacteristic
48#16839696C411yescharacteristic
49#16839690C411yescharacteristic
50#16839685C411yescharacteristic
51#16839684C411yescharacteristic
52#16839678C411yescharacteristic
53#16839677C411yescharacteristic
54#16839670C411yescharacteristic
55C4⋊C4×Dic61C2211yescharacteristic
56C22⋊C4×Dic61C2211yescharacteristic
57#16839609C2211yescharacteristic
58C61×#394C411yescharacteristic
59C2×D61⋊C8—22no—
60C2×D61⋊C8—41no—
61C2×D61⋊C8—41no—
62C22×#92420—22no—
63C22×#92420—41no—
64C22×#92420—41no—
65C22×#92420C2311yescharacteristic
66C22×#92420C2311yescharacteristic
67C22×#92420C2311yescharacteristic
68C22×#92420C2311yescharacteristic
69C22×#92420C2311yescharacteristic
70C22×#92420C2311yescharacteristic
71C22×#92420C2311yescharacteristic
72C22×#92420C2311yescharacteristic
73#14519844—41no—
74C4⋊#92420—41no—
75#14519834—22no—
76#14519834—41no—
77#14519834—41no—
78C22⋊#92420—22no—
79C22⋊#92420—22no—
80C22⋊#92420—22no—
81C22⋊#92420—41no—
82C22⋊#92420—41no—
83C22⋊#92420—41no—
84C22⋊#92420—41no—
85#14519832—41no—
86C4×#92420—41no—
87C4×#92420—41no—
88C4×#92420—41no—
89C22×C22⋊D61C2×C411yescharacteristic
90C22×C22⋊D61C2×C411yescharacteristic
91C23×Dic61C2311yescharacteristic
92C23×Dic61C2311yescharacteristic
93C22×C4×D61C2311yescharacteristic
94D4×Dic61—41no—
95D4×Dic61—41no—
96#14519737—41no—
97#14519737—41no—
98#14519737—41no—
99#14519737—41no—
100#14519733—41no—
101#14519733—41no—
102C2×C4⋊Dic61C2×C411yescharacteristic
103C2×C4⋊Dic61C2×C411yescharacteristic
104C2×#11758196C2×C411yescharacteristic
105C2×#11758196C2×C411yescharacteristic
106C2×#11758196C2×C411yescharacteristic
107C2×#11758196C2×C411yescharacteristic
108C2×C22⋊Dic61C2×C411yescharacteristic
109C2×C22⋊Dic61C2×C411yescharacteristic
110C2×C22⋊Dic61C2×C411yescharacteristic
111C2×C22⋊Dic61C2×C411yescharacteristic
112C2×#11758198C2×C411yescharacteristic
113C2×#11758198C2×C411yescharacteristic
114C2×#11758198C2×C411yescharacteristic
115C2×#11758198C2×C411yescharacteristic
116C2×C4×Dic61C2311yescharacteristic
117C2×C4×Dic61C2311yescharacteristic
118C2×C4×Dic61C2311yescharacteristic
119C2×C4×Dic61C2311yescharacteristic
120#14519684C2×C411yescharacteristic
121#14519684C2×C411yescharacteristic
122#14519684C2×C411yescharacteristic
123#14519684C2×C411yescharacteristic
124#14519684C2×C411yescharacteristic
125C22×D4×C61C2×C411yescharacteristic
126C2×C4⋊C4×C61C2×C411yescharacteristic
127C2×C22⋊C4×C61C2×C411yescharacteristic
128C2×C22⋊C4×C61C2×C411yescharacteristic
129C2×C22⋊C4×C61C2×C411yescharacteristic
130C2×C22⋊C4×C61C2×C411yescharacteristic
131#95×C61C2×C411yescharacteristic
132C24×C61C22×C411yescharacteristic
133C24×C61C22×C411yescharacteristic
134C23×D61C22×C411yescharacteristic
135C2×D4×C61—22no—
136C2×D4×C61—22no—
137C2×D4×C61—41no—
138C22×C4×C61C22×C411yescharacteristic
139C22×C4×C61C22×C411yescharacteristic
140C22×C4×C61C22×C411yescharacteristic
141C22×C4×C61C22×C411yescharacteristic
142C22×C4×C61C22×C411yescharacteristic
143C2×C22⋊D61—22no—
144C2×C22⋊D61—22no—
145C2×C22⋊D61—22no—
146C2×C22⋊D61—22no—
147C2×C22⋊D61—41no—
148C2×C22⋊D61—41no—
149C22×Dic61—21no—
150C22×Dic61—21no—
151C22×Dic61—21no—
152C22×Dic61—21no—
153C22×Dic61—21no—
154C22×Dic61—21no—
155C22×Dic61—21no—
156C22×Dic61—21no—
157C22×Dic61—21no—
158C22×Dic61—21no—
159C22×Dic61—21no—
160C22×Dic61—21no—
161C22×Dic61C22×C411yescharacteristic
162C22×Dic61C22×C411yescharacteristic
163C22×Dic61C22×C411yescharacteristic
164C22×Dic61C22×C411yescharacteristic
165C22×Dic61C22×C411yescharacteristic
166C22×Dic61C22×C411yescharacteristic
167C22×Dic61C2411yescharacteristic
168C2×C4×D61—21no—
169C2×C4×D61—21no—
170C2×C4×D61—21no—
171C2×C4×D61—21no—
172C2×C4×D61—21no—
173C2×C4×D61—21no—
174C2×#92420—21no—
175C2×#92420—21no—
176C2×#92420—21no—
177C2×#92420—21no—
178C2×#92420—21no—
179C2×#92420—21no—
180C2×#92420—21no—
181C2×#92420—21no—
182C2×#92420—21no—
183C2×#92420—21no—
184C2×#92420—21no—
185C2×#92420—21no—
186C2×#92420—21no—
187C2×#92420—21no—
188C2×#92420—21no—
189C2×#92420—21no—
190C2×#92420—21no—
191C2×#92420—21no—
192C2×#92420—21no—
193C2×#92420—21no—
194C2×#92420—21no—
195C2×#92420—21no—
196C2×#92420—44no—
197C2×#92420#4112yes—
198C2×#92420#4112yes—
199D61⋊C8—44no—
200C4⋊C4×C61—22no—
201C22⋊C4×C61—22no—
202C22⋊C4×C61—41no—
203C22⋊C4×C61—41no—
204C22⋊C4×C61—41no—
205C22⋊Dic61—22no—
206C22⋊Dic61—41no—
207C22⋊Dic61—41no—
208C22⋊Dic61—41no—
209#11758198—22no—
210#11758198—22no—
211#11758198—41no—
212#11758198—41no—
213C4⋊Dic61—22no—
214C4⋊Dic61—41no—
215#11758196—41no—
216#11758196—41no—
217#11758196—41no—
218#11758196—41no—
219C4×Dic61—21no—
220C4×Dic61—21no—
221C4×Dic61—21no—
222C4×Dic61—21no—
223C4×Dic61—21no—
224C4×Dic61—21no—
225C4×Dic61—21no—
226C4×Dic61—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—21no—
236C23×C61—21no—
237C23×C61—21no—
238C23×C61—21no—
239C23×C61—21no—
240C23×C61#13112yes—
241C23×C61C23×C411yescharacteristic
242C22×D61—21no—
243C22×D61—21no—
244C22×D61—21no—
245C22×D61—21no—
246C22×D61—21no—
247C22×D61—21no—
248C22×D61#13112yes—
249D4×C61—44no—
250C2×C4×C61—21no—
251C2×C4×C61—21no—
252C2×C4×C61—21no—
253C2×C4×C61—21no—
254C2×C4×C61—21no—
255C2×C4×C61—21no—
256C2×C4×C61—21no—
257C2×C4×C61—21no—
258C2×C4×C61—21no—
259C2×C4×C61—21no—
260C2×C4×C61—21no—
261C2×C4×C61—21no—
262C2×C4×C61—21no—
263C2×C4×C61—21no—
264C2×C4×C61#13112yes—
265C22⋊D61—44no—
266C22⋊D61—44no—
267C2×Dic61—21no—
268C2×Dic61—21no—
269C2×Dic61—21no—
270C2×Dic61—21no—
271C2×Dic61—21no—
272C2×Dic61—21no—
273C2×Dic61—21no—
274C2×Dic61—21no—
275C2×Dic61—21no—
276C2×Dic61—21no—
277C2×Dic61—21no—
278C2×Dic61—21no—
279C2×Dic61—21no—
280C2×Dic61—21no—
281C2×Dic61—21no—
282C2×Dic61—21no—
283C2×Dic61—21no—
284C2×Dic61—41no—
285C2×Dic61—41no—
286C2×Dic61—41no—
287C2×Dic61—41no—
288C2×Dic61—41no—
289C2×Dic61—41no—
290C2×Dic61—41no—
291C2×Dic61—41no—
292C2×Dic61#13112yes—
293C2×Dic61C2×#4111yescharacteristic
294C2×Dic61C2×#4111yescharacteristic
295C2×Dic61H(5,𝔽2)11yescharacteristic
296C2×Dic61H(5,𝔽2)11yescharacteristic
297C2×Dic61H(5,𝔽2)11yescharacteristic
298C2×Dic61H(5,𝔽2)11yescharacteristic
299C4×D61—41no—
300C4×D61—41no—
301C4×D61—41no—
302C4×D61—41no—
303#92420—22no—
304#92420—22no—
305#92420—41no—
306#92420—41no—
307#92420—41no—
308#92420—41no—
309#92420—41no—
310#92420—41no—
311#22330—611nomaximal, Sylow
312C22×C61—22no—
313C22×C61—22no—
314C22×C61—22no—
315C22×C61—41no—
316C22×C61—41no—
317C22×C61—41no—
318C22×C61—41no—
319C22×C61—41no—
320C22×C61—41no—
321C22×C61—41no—
322C22×C61—41no—
323C22×C61—41no—
324C22×C61—41no—
325C22×C61—41no—
326C22×C61C4×#4111yescharacteristic
327C22×C61#51811yescharacteristic
328C22×C61#51811yescharacteristic
329C22×C61C2×#13111yescharacteristic
330C22×C61C2×#13111yescharacteristic
331C22×C61C2×#13111yescharacteristic
332C22×C61C2×#13111yescharacteristic
333C2×D61—22no—
334C2×D61—22no—
335C2×D61—22no—
336C2×D61—41no—
337C2×D61—41no—
338C2×D61—41no—
339C2×D61—41no—
340C4×C61—22no—
341C4×C61—41no—
342C4×C61—41no—
343C4×C61—41no—
344C4×C61—41no—
345Dic61—22no—
346Dic61—41no—
347Dic61—41no—
348Dic61—41no—
349Dic61—41no—
350Dic61—41no—
351Dic61#53811yescharacteristic
352Dic61#53811yescharacteristic
353Dic61#54011yescharacteristic
354Dic61#54011yescharacteristic
355#2392—611no—
356#1954—611no—
357#1954—611no—
358#1924—611no—
359#1924—611no—
360#1916—611no—
361#1916—611no—
362#1869—611no—
363#1869—611no—
364#1869—611no—
365#1869—611no—
366#1818—611no—
367C8×C22⋊C4—611no—
368C8×C22⋊C4—611no—
369#1750—611no—
370C2×C61—42no—
371C2×C61—81no—
372C2×C61#233311yescharacteristic
373C2×C61#296611yescharacteristic
374C2×C61#296611yescharacteristic
375C2×C61#297711yescharacteristic
376C2×C61#297711yescharacteristic
377C2×C61#297711yescharacteristic
378C2×C61#297911yescharacteristic
379D61—42no—
380C23×C8—611no—
381C23×C8—611no—
382C2×C4×D4—611no—
383C2×C4×D4—611no—
384C2×C4×D4—611no—
385C2×#117—611no—
386C2×C4⋊C8—611no—
387C2×C4⋊C8—611no—
388C2×C22⋊C8—611no—
389C2×C22⋊C8—611no—
390C2×C22⋊C8—611no—
391C2×C22⋊C8—611no—
392C2×C22⋊C8—611no—
393C2×C22⋊C8—611no—
394C2×C22⋊C8—611no—
395C2×C22⋊C8—611no—
396C2×C22⋊C8—611no—
397C2×C22⋊C8—611no—
398C2×#97—611no—
399C2×C4×C8—611no—
400C2×C4×C8—611no—
401C2×C4×C8—611no—
402#398—611no—
403#397—611no—
404#396—611no—
405#396—611no—
406#394—611no—
407#394—611no—
408#394#692311yescharacteristic
409#392—611no—
410C4×C4⋊C4—611no—
411C4×C22⋊C4—611no—
412C4×C22⋊C4—611no—
413#336—611no—
414#336—611no—
415#336—611no—
416#336—611no—
417#336—611no—
418#336—611no—
419#336—611no—
420#336—611no—
421#336—611no—
422#336—611no—
423C61#2233011yescharacteristic, complemented, Sylow
424C22×D4—611no—
425C22×D4—611no—
426C22×D4C2×#692311yescharacteristic
427C23×C4—611no—
428C23×C4—611no—
429C23×C4—611no—
430C22×C8—611no—
431C22×C8—611no—
432C22×C8—611no—
433C22×C8—611no—
434C22×C8—611no—
435C22×C8—611no—
436C22×C8—611no—
437C22×C8—611no—
438C22×C8—1222no—
439C22×C8—1222no—
440C22×C8—2441no—
441C22×C8—2441no—
442C22×C8—2441no—
443C22×C8—2441no—
444C4×D4—2441no—
445C4×D4—2441no—
446C4×D4—2441no—
447C4×D4—2441no—
448C4×D4—2441no—
449C4×D4—2441no—
450#117—2441no—
451#117—2441no—
452C2×C4⋊C4—611no—
453C2×C4⋊C4—611no—
454C2×C4⋊C4—611no—
455C2×C4⋊C4—611no—
456C2×C4⋊C4—611no—
457C2×C4⋊C4—611no—
458C2×C4⋊C4C2×#692311yescharacteristic
459C2×C22⋊C4—611no—
460C2×C22⋊C4—611no—
461C2×C22⋊C4—611no—
462C2×C22⋊C4—611no—
463C2×C22⋊C4—611no—
464C2×C22⋊C4—611no—
465C2×C22⋊C4—611no—
466C2×C22⋊C4—611no—
467C2×C22⋊C4C2×#692311yescharacteristic
468C2×C22⋊C4C2×#692311yescharacteristic
469C2×C22⋊C4C2×#692311yescharacteristic
470C2×C22⋊C4C2×#692311yescharacteristic
471C2×C42—611no—
472C2×C42—611no—
473C2×C42—611no—
474C2×C42—611no—
475C4⋊C8—2441no—
476C4⋊C8—2441no—
477C22⋊C8—1222no—
478C22⋊C8—1222no—
479C22⋊C8—1222no—
480C22⋊C8—1222no—
481C22⋊C8—2441no—
482C22⋊C8—2441no—
483C22⋊C8—2441no—
484C22⋊C8—2441no—
485C22⋊C8—2441no—
486C22⋊C8—2441no—
487#97—2441no—
488C4×C8—2441no—
489C4×C8—2441no—
490C4×C8—2441no—
491#95—611no—
492#95—611no—
493#95—611no—
494#95—611no—
495#95—611no—
496#95C2×#692311yescharacteristic
497C24—611no—
498C24C22×#692311yescharacteristic
499C24C22×#692311yescharacteristic
500C2×D4—22no—
501C2×D4—22no—
502C2×D4—41no—
503C2×D4—1222no—
504C2×D4—1222no—
505C2×D4—1222no—
506C2×D4—1222no—
507C2×D4—2441no—
508C2×D4—2441no—
509C22×C4—611no—
510C22×C4—611no—
511C22×C4—611no—
512C22×C4—611no—
513C22×C4—611no—
514C22×C4—611no—
515C22×C4—611no—
516C22×C4—1221no—
517C22×C4—1221no—
518C22×C4—1221no—
519C22×C4—1221no—
520C22×C4—1221no—
521C22×C4—1221no—
522C22×C4—1221no—
523C22×C4—1221no—
524C22×C4—1221no—
525C22×C4—1221no—
526C22×C4—1221no—
527C22×C4—1221no—
528C22×C4—1221no—
529C22×C4—1221no—
530C22×C4—1221no—
531C22×C4—1221no—
532C22×C4—1221no—
533C22×C4—1221no—
534C22×C4C22×#692311yescharacteristic
535C22×C4C22×#692311yescharacteristic
536C22×C4C22×#692311yescharacteristic
537C22×C4C22×#692311yescharacteristic
538C22×C4C22×#692311yescharacteristic
539C2×C8—612no—
540C2×C8—612no—
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—1221no—
554C2×C8—1221no—
555C2×C8—1221no—
556C2×C8—1221no—
557C2×C8—1221no—
558C2×C8—1221no—
559C2×C8—1221no—
560C2×C8—1221no—
561C2×C8—1221no—
562C2×C8—1221no—
563C2×C8—2444no—
564C2×C8—2444no—
565C4⋊C4—22no—
566C4⋊C4—1222no—
567C4⋊C4—2441no—
568C4⋊C4—2441no—
569C4⋊C4—2441no—
570C4⋊C4—2441no—
571C4⋊C4—2441no—
572C22⋊C4—22no—
573C22⋊C4—41no—
574C22⋊C4—41no—
575C22⋊C4—41no—
576C22⋊C4—1222no—
577C22⋊C4—1222no—
578C22⋊C4—1222no—
579C22⋊C4—2441no—
580C22⋊C4—2441no—
581C22⋊C4—2441no—
582C22⋊C4—2441no—
583C22⋊C4—2441no—
584C42—1221no—
585C42—1221no—
586C42—1221no—
587C42—1221no—
588C42—1221no—
589C42—1221no—
590C42—1221no—
591C42—1221no—
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—612no—
606C23—1221no—
607C23—1221no—
608C23—1221no—
609C23—1221no—
610C23—1221no—
611C23—1221no—
612C23#1451986412yes—
613C23C23×#692311yescharacteristic
614D4—44no—
615D4—2444no—
616D4—2444no—
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—611no—
632C2×C4—611no—
633C2×C4—611no—
634C2×C4—611no—
635C2×C4—611no—
636C2×C4—611no—
637C2×C4—612no—
638C2×C4—1221no—
639C2×C4—1221no—
640C2×C4—1221no—
641C2×C4—1221no—
642C2×C4—1221no—
643C2×C4—1221no—
644C2×C4—1221no—
645C2×C4—1221no—
646C2×C4—1221no—
647C2×C4—1221no—
648C2×C4—1221no—
649C2×C4—1221no—
650C2×C4—1221no—
651C2×C4—1221no—
652C2×C4—1221no—
653C2×C4—1221no—
654C2×C4—1221no—
655C2×C4—2441no—
656C2×C4—2441no—
657C2×C4—2441no—
658C2×C4—2441no—
659C2×C4—2441no—
660C2×C4—2441no—
661C2×C4—2441no—
662C2×C4—2441no—
663C2×C4—2441no—
664C2×C4—2441no—
665C2×C4—2441no—
666C2×C4—2441no—
667C2×C4#1451986412yes—
668C8—1222no—
669C8—1222no—
670C8—2441no—
671C8—2441no—
672C8—2441no—
673C8—2441no—
674C8—2441no—
675C8—2441no—
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—1222no—
691C22—1222no—
692C22—1222no—
693C22—2441no—
694C22—2441no—
695C22—2441no—
696C22—2441no—
697C22#41×#692311yescharacteristic
698C22#1684082911yescharacteristic
699C22#1684082911yescharacteristic
700C22C2×#1451986411yescharacteristic
701C22C2×#1451986411yescharacteristic
702C22D61⋊#13111yescharacteristic
703C22D61⋊#13111yescharacteristic
704C4—22no—
705C4—41no—
706C4—41no—
707C4—41no—
708C4—41no—
709C4—611no—
710C4—611no—
711C4—611no—
712C4—611no—
713C4—1222no—
714C4—2441no—
715C4—2441no—
716C4—2441no—
717C4—2441no—
718C4—2441no—
719C2—42no—
720C2—81no—
721C2—2442no—
722C2#2146231611yescharacteristic
723C2#2146263311yescharacteristic
724C2#2146263411yescharacteristic
725C2#2146269111yescharacteristic
726C2#2146269211yescharacteristic
727C2#2146269311yescharacteristic
728C2#2146269911yescharacteristic
subgroupG/H
center, FrattiniC23C23×#6923
commutator, socleC23×C61C23×C4
FittingC61×#394C4
prime radical#16839670C4
cosocleC22×Dic61C24
hypercenter#394#6923
hypocenterC61#22330
LCSG ▷ C23×C61 ▷ C61
UCSC1 ◁ C23 ◁ #394

Complements

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

NH ≅ G/Ntype
1. #21461942C2semidirect
2. #21461940C2semidirect
3. #21461894C2semidirect
4. #21461892C2semidirect
5. #21461875C2semidirect
6. #21461872C2semidirect
7. #21461794C2semidirect
8. #21461793C2semidirect
9. #21461793C2semidirect
10. #21461792C2semidirect
11. #21461712C2semidirect
12. #21461553C2semidirect
13. C22⋊C4×#92420C2semidirect
14. #21461549C2semidirect
423. C61#22330semidirect

Maximal subgroups

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

subgroupindex
#214619422
#214619402
#214618942
#214618922
#214618752
#214618722
#214617942
#214617932
#214617922
#214617122
#214615532
C22⋊C4×#924202
#214615492
#214490622
#2233061