Finite Group Databasebeta

← #26139513

Subgroups — #26139513

Order 12032.

1470 conjugacy classes of subgroups.

The subgroup lattice has 678 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#15689022C211yesmaximal, characteristic
2C2×#15689022C211yesmaximal, characteristic
3C2×#15688989C211yesmaximal, characteristic
4C2×C4⋊C4×Dic47C211yesmaximal, characteristic
5#20241645C212yesmaximal
6#20241641C212yesmaximal
7#20241622C212yesmaximal
8#20241617C212yesmaximal
9#20241617C211yesmaximal, characteristic
10C4×C47⋊#95C211yesmaximal, characteristic
11C2×C47×#389C211yesmaximal, characteristic
12C22×C4⋊Dic47C2211yescharacteristic
13C22×C4⋊Dic47C2212yes—
14C22×C4⋊Dic47C2212yes—
15C22×C4⋊Dic47C2211yescharacteristic
16C22×C4×Dic47C2211yescharacteristic
17C22×C4×Dic47C2212yes—
18C22×C4×Dic47C2211yescharacteristic
19#15689022—24no—
20#15689022—24no—
21#15688989—24no—
22C4⋊C4×Dic47—24no—
23C2×C47⋊#95C2212yes—
24C2×C47⋊#95C2212yes—
25C2×C47⋊#95C2212yes—
26C2×C47⋊#95C2212yes—
27C2×C47⋊#95C2211yescharacteristic
28C2×C47⋊#95C2211yescharacteristic
29C2×C47⋊#95C2211yescharacteristic
30C2×C47⋊#95C2211yescharacteristic
31C2×C47⋊#95C2212yes—
32C2×C47⋊#95C2212yes—
33C2×C47⋊#95C2212yes—
34C22×C4⋊C4×C47C2211yescharacteristic
35C22×C4⋊C4×C47C2212yes—
36C22×C4⋊C4×C47C2211yescharacteristic
37C22×C42×C47C2211yescharacteristic
38C47×#389C418yescomplemented
39C2×#95×C47C2212yes—
40C23×Dic47C2312yes—
41C23×Dic47C2312yes—
42C23×Dic47C2311yescharacteristic
43C23×Dic47C2311yescharacteristic
44C23×Dic47C2311yescharacteristic
45C23×Dic47C2311yescharacteristic
46C2×C4⋊Dic47—22no—
47C2×C4⋊Dic47—22no—
48C2×C4⋊Dic47—22no—
49C2×C4⋊Dic47—24no—
50C2×C4⋊Dic47—22no—
51C2×C4⋊Dic47—22no—
52C2×C4⋊Dic47—24no—
53C2×C4⋊Dic47—24no—
54C2×C4⋊Dic47—24no—
55C2×C4⋊Dic47—42no—
56C2×C4⋊Dic47—42no—
57C2×C4⋊Dic47D414yes—
58C2×C4×Dic47—22no—
59C2×C4×Dic47—22no—
60C2×C4×Dic47—24no—
61C2×C4×Dic47—22no—
62C2×C4×Dic47—22no—
63C2×C4×Dic47—22no—
64C2×C4×Dic47—24no—
65C2×C4×Dic47—42no—
66C2×C4×Dic47Q814yes—
67C47⋊#95—24no—
68C47⋊#95—24no—
69C47⋊#95—24no—
70C47⋊#95—24no—
71C47⋊#95—24no—
72C47⋊#95—22no—
73C47⋊#95—22no—
74C47⋊#95—22no—
75C47⋊#95—22no—
76C47⋊#95—24no—
77C47⋊#95—42no—
78C23×C4×C47C2311yescharacteristic
79C23×C4×C47C2311yescharacteristic
80C23×C4×C47C2312yes—
81C23×C4×C47C2312yes—
82C23×C4×C47C2311yescharacteristic
83C2×C4⋊C4×C47—22no—
84C2×C4⋊C4×C47—22no—
85C2×C4⋊C4×C47—42no—
86C2×C4⋊C4×C47—42no—
87C2×C4⋊C4×C47C2×C414yes—
88C2×C4⋊C4×C47C2×C418yes—
89C2×C4⋊C4×C47C2×C414yes—
90C2×C4⋊C4×C47D414yes—
91C2×C4⋊C4×C47Q814yes—
92C2×C42×C47—22no—
93C2×C42×C47—22no—
94C2×C42×C47C2×C414yes—
95#95×C47C2×C418yes—
96C24×C47C2411yescharacteristic
97C22×C4×C47—22no—
98C22×C4×C47—22no—
99C22×C4×C47—22no—
100C22×C4×C47—22no—
101C22×C4×C47—21no—
102C22×C4×C47—21no—
103C22×C4×C47—22no—
104C22×C4×C47—21no—
105C22×C4×C47—21no—
106C22×C4×C47—22no—
107C22×C4×C47—21no—
108C22×C4×C47—21no—
109C22×C4×C47—21no—
110C22×C4×C47—21no—
111C22×C4×C47—22no—
112C22×C4×C47—22no—
113C22×C4×C47—21no—
114C22×C4×C47—21no—
115C22×C4×C47—22no—
116C22×C4×C47—22no—
117C22×C4×C47—21no—
118C22×C4×C47—21no—
119C22×C4×C47C22×C412yes—
120C22×C4×C47C22×C412yes—
121C22×C4×C47C22×C414yes—
122C22×C4×C47C22×C414yes—
123C22×C4×C47C22×C412yes—
124C22×C4×C47C2×D414yes—
125C22×C4×C47C2×D412yes—
126C22×C4×C47C2×D412yes—
127C22×C4×C47C2×Q814yes—
128C22×C4×C47C2×Q812yes—
129C22×C4×C47C2×Q812yes—
130C22×C4×C47#4112yes—
131C22×C4×C47#4112yes—
132C22×Dic47—21no—
133C22×Dic47—21no—
134C22×Dic47—21no—
135C22×Dic47—21no—
136C22×Dic47—21no—
137C22×Dic47—21no—
138C22×Dic47—21no—
139C22×Dic47—22no—
140C22×Dic47—21no—
141C22×Dic47—21no—
142C22×Dic47—21no—
143C22×Dic47—21no—
144C22×Dic47—21no—
145C22×Dic47—21no—
146C22×Dic47—21no—
147C22×Dic47—21no—
148C22×Dic47—21no—
149C22×Dic47—22no—
150C22×Dic47—22no—
151C22×Dic47—22no—
152C22×Dic47—21no—
153C22×Dic47—22no—
154C22×Dic47—21no—
155C22×Dic47—21no—
156C22×Dic47—21no—
157C22×Dic47—22no—
158C22×Dic47—21no—
159C22×Dic47—21no—
160C22×Dic47—22no—
161C22×Dic47—22no—
162C22×Dic47—22no—
163C22×Dic47—22no—
164C22×Dic47—22no—
165C22×Dic47—22no—
166C22×Dic47—22no—
167C22×Dic47C2×D414yes—
168C22×Dic47C2×Q812yes—
169C22×Dic47C2×Q812yes—
170C22×Dic47#4112yes—
171C22×Dic47#4112yes—
172C22×Dic47#4112yes—
173C22×Dic47#4112yes—
174C4⋊C4×C47—28no—
175C4⋊C4×C47—48no—
176C4⋊C4×C47C4⋊C4116yescomplemented
177C42×C47—28no—
178C4⋊Dic47—28no—
179C4⋊Dic47—48no—
180C4⋊Dic47—48no—
181C4⋊Dic47—44no—
182C4×Dic47—28no—
183C4×Dic47—48no—
184C4×Dic47—44no—
185C23×C47C23×C411yescharacteristic
186C23×C47C22×D411yescharacteristic
187C23×C47C22×D411yescharacteristic
188C23×C47C22×Q811yescharacteristic
189C23×C47C22×Q811yescharacteristic
190C23×C47C2×#4111yescharacteristic
191C23×C47C2×#4111yescharacteristic
192C23×C47C2×#4111yescharacteristic
193C23×C47C2×#4111yescharacteristic
194C23×C47C2×#4111yescharacteristic
195C23×C47C2×#4111yescharacteristic
196C23×C47H(5,𝔽2)11yescharacteristic
197C23×C47H(5,𝔽2)11yescharacteristic
198C23×C472−1+411yescharacteristic
199C23×C472−1+411yescharacteristic
200C2×C4×C47—24no—
201C2×C4×C47—24no—
202C2×C4×C47—24no—
203C2×C4×C47—24no—
204C2×C4×C47—24no—
205C2×C4×C47—24no—
206C2×C4×C47—22no—
207C2×C4×C47—22no—
208C2×C4×C47—24no—
209C2×C4×C47—22no—
210C2×C4×C47—22no—
211C2×C4×C47—24no—
212C2×C4×C47—22no—
213C2×C4×C47—24no—
214C2×C4×C47—22no—
215C2×C4×C47—42no—
216C2×C4×C47—41no—
217C2×C4×C47—41no—
218C2×C4×C47—41no—
219C2×C4×C47—41no—
220C2×C4×C47—42no—
221C2×C4×C47—41no—
222C2×C4×C47—41no—
223C2×C4×C47—42no—
224C2×C4×C47—41no—
225C2×C4×C47—42no—
226C2×C4×C47—41no—
227C2×C4×C47C2×C4⋊C418yes—
228C2×C4×C47C2×C4⋊C414yes—
229C2×C4×C47C4×D414yes—
230C2×C4×C47C4×Q814yes—
231C2×C4×C47#12114yes—
232C2×C4×C47C22⋊Q814yes—
233C2×C4×C47#12514yes—
234C2×C4×C47C4⋊Q814yes—
235C2×Dic47—22no—
236C2×Dic47—22no—
237C2×Dic47—22no—
238C2×Dic47—22no—
239C2×Dic47—22no—
240C2×Dic47—22no—
241C2×Dic47—24no—
242C2×Dic47—22no—
243C2×Dic47—22no—
244C2×Dic47—22no—
245C2×Dic47—22no—
246C2×Dic47—22no—
247C2×Dic47—22no—
248C2×Dic47—22no—
249C2×Dic47—24no—
250C2×Dic47—24no—
251C2×Dic47—22no—
252C2×Dic47—22no—
253C2×Dic47—41no—
254C2×Dic47—41no—
255C2×Dic47—42no—
256C2×Dic47—41no—
257C2×Dic47—41no—
258C2×Dic47—42no—
259C2×Dic47—42no—
260C2×Dic47—41no—
261C2×Dic47—41no—
262C2×Dic47—41no—
263C2×Dic47—41no—
264C2×Dic47—42no—
265C2×Dic47—41no—
266C2×Dic47—41no—
267C2×Dic47—41no—
268C2×Dic47—41no—
269C2×Dic47—42no—
270C2×Dic47—42no—
271C2×Dic47—42no—
272C2×Dic47—42no—
273C2×Dic47—42no—
274C2×Dic47—42no—
275C2×Dic47—42no—
276C2×Dic47#12514yes—
277#14006—471nomaximal, Sylow
278C22×C47C22×C4⋊C411yescharacteristic
279C22×C47C2×C4×D411yescharacteristic
280C22×C47C2×C4×Q811yescharacteristic
281C22×C47C4×#4111yescharacteristic
282C22×C47C4×#4111yescharacteristic
283C22×C47#51811yescharacteristic
284C22×C47#51911yescharacteristic
285C22×C47C2×#12111yescharacteristic
286C22×C47C2×C22⋊Q811yescharacteristic
287C22×C47C2×#12511yescharacteristic
288C22×C47C2×#12511yescharacteristic
289C22×C47#52911yescharacteristic
290C22×C47#52911yescharacteristic
291C22×C47C2×C4⋊Q811yescharacteristic
292C22×C47#53311yescharacteristic
293C22×C47#54211yescharacteristic
294C22×C47#54211yescharacteristic
295C22×C47#54411yescharacteristic
296C22×C47#54411yescharacteristic
297C22×C47#54611yescharacteristic
298C22×C47#54611yescharacteristic
299C22×C47#54611yescharacteristic
300C22×C47#54711yescharacteristic
301C22×C47#54811yescharacteristic
302C22×C47#54811yescharacteristic
303C22×C47#54811yescharacteristic
304C22×C47#55011yescharacteristic
305C22×C47#55211yescharacteristic
306C22×C47#55311yescharacteristic
307C22×C47#55411yescharacteristic
308C22×C47#55411yescharacteristic
309C22×C47#55511yescharacteristic
310C22×C47#55611yescharacteristic
311C22×C47#55711yescharacteristic
312C22×C47#55711yescharacteristic
313C4×C47—28no—
314C4×C47—42no—
315C4×C47—42no—
316C4×C47—44no—
317C4×C47#38918yes—
318Dic47—24no—
319Dic47—42no—
320Dic47—44no—
321Dic47—42no—
322Dic47—42no—
323Dic47—82no—
324C2×#389—471no—
325C2×#389—471no—
326C2×#389D4711yescharacteristic
327C2×#382—471no—
328C2×C4×C4⋊C4—471no—
329#1442—472no—
330#1441—472no—
331#1436—472no—
332C4⋊#95—471no—
333C4⋊#95—472no—
334C4×#95—471no—
335C2×C47C2×#38911yescharacteristic
336C2×C47C4×#12511yescharacteristic
337C2×C47#233111yescharacteristic
338C2×C47#234911yescharacteristic
339C2×C47#235111yescharacteristic
340C2×C47#236211yescharacteristic
341C2×C47#236311yescharacteristic
342C2×C47#242611yescharacteristic
343C2×C47#242711yescharacteristic
344C2×C47#243911yescharacteristic
345C2×C47#244211yescharacteristic
346C2×C47#250811yescharacteristic
347C2×C47#250911yescharacteristic
348C2×C47#255011yescharacteristic
349C2×C47#255211yescharacteristic
350C22×C4⋊C4—471no—
351C22×C4⋊C4—471no—
352C22×C4⋊C4—472no—
353C22×C4⋊C4—472no—
354C22×C4⋊C4C2×D4711yescharacteristic
355C22×C4⋊C4C2×D4712yes—
356C22×C4⋊C4C2×D4711yescharacteristic
357C22×C42—471no—
358C22×C42—471no—
359C22×C42—472no—
360C22×C42C2×D4711yescharacteristic
361#389—944no—
362#389—944no—
363#389Dic4718yescomplemented
364#382—944no—
365C4×C4⋊C4—944no—
366C2×#95—471no—
367C2×#95—471no—
368C2×#95—471no—
369C2×#95—471no—
370C2×#95—472no—
371C2×#95—472no—
372C2×#95—472no—
373C2×#95—472no—
374C2×#95—472no—
375C2×#95—472no—
376C2×#95—472no—
377C2×#95C2×D4712yes—
378C47#1400611yescharacteristic, complemented, Sylow
379C23×C4—471no—
380C23×C4—472no—
381C23×C4—471no—
382C23×C4—471no—
383C23×C4—471no—
384C23×C4—472no—
385C23×C4C22×D4712yes—
386C23×C4C22×D4711yescharacteristic
387C23×C4C22×D4711yescharacteristic
388C23×C4C22×D4712yes—
389C23×C4C22×D4711yescharacteristic
390C2×C4⋊C4—22no—
391C2×C4⋊C4—22no—
392C2×C4⋊C4—42no—
393C2×C4⋊C4—42no—
394C2×C4⋊C4—474no—
395C2×C4⋊C4—942no—
396C2×C4⋊C4—942no—
397C2×C4⋊C4—944no—
398C2×C4⋊C4—944no—
399C2×C4⋊C4—944no—
400C2×C4⋊C4—944no—
401C2×C4⋊C4—942no—
402C2×C4⋊C4—942no—
403C2×C4⋊C4—942no—
404C2×C4⋊C4—1882no—
405C2×C4⋊C4—1882no—
406C2×C4⋊C4Dic9414yes—
407C2×C4⋊C4D18814yes—
408C2×C4⋊C4C2×Dic4714yes—
409C2×C4⋊C4C2×Dic4718yes—
410C2×C4⋊C4C2×Dic4714yes—
411C2×C42—22no—
412C2×C42—22no—
413C2×C42—474no—
414C2×C42—942no—
415C2×C42—942no—
416C2×C42—944no—
417C2×C42—944no—
418C2×C42—942no—
419C2×C42—942no—
420C2×C42—942no—
421C2×C42—1882no—
422C2×C42C2×Dic4714yes—
423#95—942no—
424#95—944no—
425#95—942no—
426#95—942no—
427#95—942no—
428#95—944no—
429#95—944no—
430#95—944no—
431#95—944no—
432#95—944no—
433#95—1882no—
434#95C2×Dic4718yes—
435C24C23×D4711yescharacteristic
436C22×C4—22no—
437C22×C4—22no—
438C22×C4—22no—
439C22×C4—22no—
440C22×C4—21no—
441C22×C4—21no—
442C22×C4—22no—
443C22×C4—21no—
444C22×C4—21no—
445C22×C4—21no—
446C22×C4—22no—
447C22×C4—21no—
448C22×C4—22no—
449C22×C4—21no—
450C22×C4—21no—
451C22×C4—22no—
452C22×C4—22no—
453C22×C4—21no—
454C22×C4—21no—
455C22×C4—22no—
456C22×C4—21no—
457C22×C4—21no—
458C22×C4—472no—
459C22×C4—472no—
460C22×C4—472no—
461C22×C4—474no—
462C22×C4—472no—
463C22×C4—472no—
464C22×C4—472no—
465C22×C4—941no—
466C22×C4—941no—
467C22×C4—941no—
468C22×C4—941no—
469C22×C4—941no—
470C22×C4—941no—
471C22×C4—941no—
472C22×C4—941no—
473C22×C4—942no—
474C22×C4—941no—
475C22×C4—941no—
476C22×C4—941no—
477C22×C4—941no—
478C22×C4—941no—
479C22×C4—942no—
480C22×C4—942no—
481C22×C4—941no—
482C22×C4—941no—
483C22×C4—941no—
484C22×C4—942no—
485C22×C4—941no—
486C22×C4—942no—
487C22×C4—941no—
488C22×C4—941no—
489C22×C4—941no—
490C22×C4—942no—
491C22×C4—941no—
492C22×C4—941no—
493C22×C4—942no—
494C22×C4—942no—
495C22×C4—942no—
496C22×C4—942no—
497C22×C4—942no—
498C22×C4—942no—
499C22×C4—942no—
500C22×C4C2×Dic9414yes—
501C22×C4C2×Dic9412yes—
502C22×C4C2×D18814yes—
503C22×C4C2×D18812yes—
504C22×C4D4×D4712yes—
505C22×C4#1062535212yes—
506C22×C4Q8×D4712yes—
507C22×C4#1062535412yes—
508C22×C4C22×Dic4712yes—
509C22×C4C22×Dic4714yes—
510C22×C4C22×Dic4712yes—
511C22×C4C22×Dic4714yes—
512C22×C4C22×Dic4712yes—
513C4⋊C4—28no—
514C4⋊C4—48no—
515C4⋊C4—948no—
516C4⋊C4—1888no—
517C4⋊C4—1888no—
518C4⋊C4—1884no—
519C4⋊C4C4⋊Dic47116yescomplemented
520C42—28no—
521C42—948no—
522C42—1888no—
523C42—1884no—
524C23C23×Dic4711yescharacteristic
525C23C2×D4×D4711yescharacteristic
526C23C22×D18811yescharacteristic
527C23C2×Q8×D4711yescharacteristic
528C23C22×Dic9411yescharacteristic
529C23#41×D4711yescharacteristic
530C23#41×D4711yescharacteristic
531C23#41×D4711yescharacteristic
532C23#41×D4711yescharacteristic
533C23C2×#1062535211yescharacteristic
534C23C2×#1062535411yescharacteristic
535C23#1309406911yescharacteristic
536C23#1309406911yescharacteristic
537C23#1309407211yescharacteristic
538C23#1309407211yescharacteristic
539C2×C4—24no—
540C2×C4—24no—
541C2×C4—24no—
542C2×C4—24no—
543C2×C4—24no—
544C2×C4—24no—
545C2×C4—22no—
546C2×C4—22no—
547C2×C4—24no—
548C2×C4—22no—
549C2×C4—22no—
550C2×C4—24no—
551C2×C4—22no—
552C2×C4—24no—
553C2×C4—22no—
554C2×C4—42no—
555C2×C4—41no—
556C2×C4—41no—
557C2×C4—41no—
558C2×C4—41no—
559C2×C4—42no—
560C2×C4—41no—
561C2×C4—41no—
562C2×C4—42no—
563C2×C4—41no—
564C2×C4—42no—
565C2×C4—41no—
566C2×C4—474no—
567C2×C4—942no—
568C2×C4—942no—
569C2×C4—942no—
570C2×C4—942no—
571C2×C4—942no—
572C2×C4—942no—
573C2×C4—942no—
574C2×C4—942no—
575C2×C4—942no—
576C2×C4—944no—
577C2×C4—944no—
578C2×C4—942no—
579C2×C4—942no—
580C2×C4—944no—
581C2×C4—942no—
582C2×C4—942no—
583C2×C4—942no—
584C2×C4—942no—
585C2×C4—1882no—
586C2×C4—1882no—
587C2×C4—1882no—
588C2×C4—1882no—
589C2×C4—1882no—
590C2×C4—1882no—
591C2×C4—1882no—
592C2×C4—1881no—
593C2×C4—1881no—
594C2×C4—1882no—
595C2×C4—1882no—
596C2×C4—1881no—
597C2×C4—1881no—
598C2×C4—1881no—
599C2×C4—1881no—
600C2×C4—1881no—
601C2×C4—1882no—
602C2×C4—1881no—
603C2×C4—1881no—
604C2×C4—1881no—
605C2×C4—1881no—
606C2×C4—1881no—
607C2×C4—1882no—
608C2×C4C2×C4⋊Dic4718yes—
609C2×C4C2×C4⋊Dic4714yes—
610C2×C4D4×Dic4714yes—
611C2×C4Q8×Dic4714yes—
612C2×C4#1309399914yes—
613C2×C4#1309400414yes—
614C2×C4#1309401514yes—
615C2×C4#1309402314yes—
616C22C22×C4⋊Dic4711yescharacteristic
617C22C2×D4×Dic4711yescharacteristic
618C22C2×Q8×Dic4711yescharacteristic
619C22#41×Dic4711yescharacteristic
620C22#41×Dic4711yescharacteristic
621C22#1568959811yescharacteristic
622C22#1568960111yescharacteristic
623C22C2×#1309399911yescharacteristic
624C22C2×#1309400411yescharacteristic
625C22#125×D4711yescharacteristic
626C22C2×#1309401511yescharacteristic
627C22#1568965811yescharacteristic
628C22#1568965811yescharacteristic
629C22C2×#1309402311yescharacteristic
630C22#1568967911yescharacteristic
631C22#1568974711yescharacteristic
632C22#1568974711yescharacteristic
633C22#1568975011yescharacteristic
634C22#1568975011yescharacteristic
635C22#1568976811yescharacteristic
636C22#1568976811yescharacteristic
637C22#1568977011yescharacteristic
638C22#1568977511yescharacteristic
639C22#1568978311yescharacteristic
640C22#1568978511yescharacteristic
641C22#1568978511yescharacteristic
642C22#1568979111yescharacteristic
643C22#1568980711yescharacteristic
644C22#1568982011yescharacteristic
645C22#1568983211yescharacteristic
646C22#1568983211yescharacteristic
647C22#1568983711yescharacteristic
648C22#1568984411yescharacteristic
649C22#1568984911yescharacteristic
650C22#1568984911yescharacteristic
651C4—28no—
652C4—42no—
653C4—42no—
654C4—44no—
655C4—944no—
656C4—3762no—
657C4—1882no—
658C4—1882no—
659C4—1882no—
660C4—1884no—
661C4#1568902218yes—
662C2C2×#1568902211yescharacteristic
663C2#125×Dic4711yescharacteristic
664C2#2024613711yescharacteristic
665C2#2024629811yescharacteristic
666C2#2024630911yescharacteristic
667C2#2024641911yescharacteristic
668C2#2024643011yescharacteristic
669C2#2024695211yescharacteristic
670C2#2024696311yescharacteristic
671C2#2024707711yescharacteristic
672C2#2024711011yescharacteristic
673C2#2024792811yescharacteristic
674C2#2024793911yescharacteristic
675C2#2024841211yescharacteristic
676C2#2024842511yescharacteristic
subgroupG/H
center, FrattiniC24C23×D47
commutatorC23×C47C23×C4
FittingC2×C47×#389C2
socle, prime radical, cosocleC24×C47C24
hypercenterC2×#389D47
hypocenterC47#14006
LCSG ▷ C23×C47 ▷ C47
UCSC1 ◁ C24 ◁ C2×#389

Complements

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

NH ≅ G/Ntype
38. C47×#389C4semidirect
176. C4⋊C4×C47C4⋊C4semidirect
363. #389Dic47semidirect
378. C47#14006semidirect
519. C4⋊C4C4⋊Dic47semidirect

Maximal subgroups

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

subgroupindex
C2×#156890222
C2×#156889892
C2×C4⋊C4×Dic472
#202416452
#202416412
#202416222
#202416172
C4×C47⋊#952
C2×C47×#3892
#1400647