Finite Group Databasebeta

← #26237174

Subgroups — #26237174

Order 12032.

860 conjugacy classes of subgroups.

The subgroup lattice has 674 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#15689181C211yesmaximal, characteristic, complemented
2#20246647C211yesmaximal, characteristic
3#20244103C211yesmaximal, characteristic, complemented
4#20244004C211yesmaximal, characteristic, complemented
5#20243998C211yesmaximal, characteristic, complemented
6#20243945C211yesmaximal, characteristic, complemented
7#20243942C211yesmaximal, characteristic, complemented
8#20243686C211yesmaximal, characteristic
9#20243566C211yesmaximal, characteristic, complemented
10#20243566C211yesmaximal, characteristic, complemented
11#20243262C211yesmaximal, characteristic, complemented
12#20243174C211yesmaximal, characteristic, complemented
13C8×C22⋊Dic47C211yesmaximal, characteristic, complemented
14#20243084C211yesmaximal, characteristic, complemented
15C2×C8×D4×C47C211yesmaximal, characteristic
16C22×#10625329C2211yescharacteristic
17C2×#13093983C2211yescharacteristic
18#15689181—24no—
19C2×Dic47⋊C8C2211yescharacteristic
20C2×Dic47⋊C8C2211yescharacteristic
21C2×Dic47⋊C8C2211yescharacteristic
22C2×Dic47⋊C8C2211yescharacteristic
23C2×C22⋊(C47⋊C8)C2211yescharacteristic
24C2×C22⋊(C47⋊C8)C2211yescharacteristic
25C2×C22⋊(C47⋊C8)C2211yescharacteristic
26C2×#13093934C2211yescharacteristic
27C2×#13093934C2211yescharacteristic
28C2×C8×Dic47C2211yescharacteristic
29C2×C8×Dic47C2211yescharacteristic
30#15689062C411yescharacteristic
31#15689059C411yescharacteristic
32#15689053C411yescharacteristic
33#15689051C411yescharacteristic
34#15689051C411yescharacteristic
35#15689048C411yescharacteristic
36#15689037C411yescharacteristic
37#15689037C411yescharacteristic
38C4×Dic47⋊C4C2211yescharacteristic
39C4×Dic47⋊C4C2211yescharacteristic
40C4×C22⋊Dic47C2211yescharacteristic
41C4×C22⋊Dic47C2211yescharacteristic
42C4×C22⋊Dic47C2211yescharacteristic
43#15688878C2211yescharacteristic
44#15688878C2211yescharacteristic
45#15688877C2211yescharacteristic
46#15688877C2211yescharacteristic
47#15688877C2211yescharacteristic
48#15688877C2211yescharacteristic
49#15688877C2211yescharacteristic
50#15688877C2211yescharacteristic
51#15688877C2211yescharacteristic
52#15688877C2211yescharacteristic
53C23×C8×C47C2211yescharacteristic
54C23×C8×C47C2211yescharacteristic
55C2×C4×D4×C47C2211yescharacteristic
56C8×D4×C47—24no—
57C2×C4⋊C8×C47C2211yescharacteristic
58C2×C22⋊C8×C47C2211yescharacteristic
59C2×C22⋊C8×C47C2211yescharacteristic
60C2×C4×C8×C47C2211yescharacteristic
61C2×#10625329—22no—
62C2×#10625329—22no—
63C2×#10625329—41no—
64C22×C47⋊C8C2311yescharacteristic
65C22×C47⋊C8C2311yescharacteristic
66C22×C47⋊C8C2311yescharacteristic
67C22×C47⋊C8C2311yescharacteristic
68#13093983—22no—
69#13093983—22no—
70C2×C4⋊Dic47C2×C411yescharacteristic
71C2×C4⋊Dic47C2×C411yescharacteristic
72C2×Dic47⋊C4C2×C411yescharacteristic
73C2×Dic47⋊C4C2×C411yescharacteristic
74C2×Dic47⋊C4C2×C411yescharacteristic
75C2×Dic47⋊C4C2×C411yescharacteristic
76C2×C22⋊Dic47C2×C411yescharacteristic
77C2×C22⋊Dic47C2×C411yescharacteristic
78C2×C22⋊Dic47C2×C411yescharacteristic
79C2×C22⋊Dic47C2×C411yescharacteristic
80C2×C22⋊Dic47C2×C411yescharacteristic
81C2×C22⋊Dic47C2×C411yescharacteristic
82C2×C22⋊Dic47C2×C411yescharacteristic
83C2×C22⋊Dic47C2×C411yescharacteristic
84C2×C4×Dic47C2311yescharacteristic
85C2×C4×Dic47C2311yescharacteristic
86C2×C4×Dic47C2311yescharacteristic
87C2×C4×Dic47C2311yescharacteristic
88Dic47⋊C8—22no—
89Dic47⋊C8—22no—
90Dic47⋊C8—22no—
91Dic47⋊C8—41no—
92C22⋊(C47⋊C8)—22no—
93C22⋊(C47⋊C8)—22no—
94C22⋊(C47⋊C8)—41no—
95#13093934—22no—
96#13093934—22no—
97C8×Dic47—22no—
98C8×Dic47—41no—
99C47⋊#95C2×C411yescharacteristic
100C47⋊#95C2×C411yescharacteristic
101C47⋊#95C2×C411yescharacteristic
102C47⋊#95C2×C411yescharacteristic
103C47⋊#95C2×C411yescharacteristic
104C47⋊#95C2×C411yescharacteristic
105C47⋊#95C2×C411yescharacteristic
106C47⋊#95C2×C411yescharacteristic
107C47⋊#95C2×C411yescharacteristic
108C47⋊#95C2×C411yescharacteristic
109C22×D4×C47C2×C411yescharacteristic
110C23×C4×C47C2311yescharacteristic
111C23×C4×C47C2311yescharacteristic
112C22×C8×C47—22no—
113C22×C8×C47—22no—
114C22×C8×C47—22no—
115C22×C8×C47—22no—
116C22×C8×C47—41no—
117C22×C8×C47—41no—
118C22×C8×C47C2311yescharacteristic
119C22×C8×C47C2311yescharacteristic
120C22×C8×C47C2311yescharacteristic
121C22×C8×C47C2311yescharacteristic
122C4×D4×C47—22no—
123C4×D4×C47—22no—
124C2×C4⋊C4×C47C2×C411yescharacteristic
125C2×C22⋊C4×C47C2×C411yescharacteristic
126C2×C22⋊C4×C47C2×C411yescharacteristic
127C2×C42×C47C2311yescharacteristic
128C4⋊C8×C47—22no—
129C22⋊C8×C47—22no—
130C22⋊C8×C47D414yes—
131C4×C8×C47—22no—
132C24×C47C22×C411yescharacteristic
133C24×C47C22×C411yescharacteristic
134C2×D4×C47—22no—
135C2×D4×C47—22no—
136C2×D4×C47—22no—
137C22×C4×C47—21no—
138C22×C4×C47—21no—
139C22×C4×C47—21no—
140C22×C4×C47—21no—
141C22×C4×C47—21no—
142C22×C4×C47—21no—
143C22×C4×C47—21no—
144C22×C4×C47—21no—
145C22×C4×C47—21no—
146C22×C4×C47—21no—
147C22×C4×C47C22×C411yescharacteristic
148C22×C4×C47C22×C411yescharacteristic
149C22×C4×C47C22×C411yescharacteristic
150C22×C4×C47C22×C411yescharacteristic
151C22×C4×C47C2×D412yes—
152C22×C4×C47#4112yes—
153C22×C4×C47C2411yescharacteristic
154C22×Dic47C22×C411yescharacteristic
155C22×Dic47C22×C411yescharacteristic
156C22×Dic47C22×C411yescharacteristic
157C22×Dic47C22×C411yescharacteristic
158C22×Dic47C22×C411yescharacteristic
159C22×Dic47C22×C411yescharacteristic
160C22×Dic47C22×C411yescharacteristic
161C22×Dic47C22×C411yescharacteristic
162C2×C8×C47—21no—
163C2×C8×C47—21no—
164C2×C8×C47—21no—
165C2×C8×C47—21no—
166C2×C8×C47—21no—
167C2×C8×C47—21no—
168C2×C8×C47—21no—
169C2×C8×C47—21no—
170C2×C8×C47—21no—
171C2×C8×C47—44no—
172C2×C8×C47—44no—
173C2×C8×C47C2×D412yes—
174C2×C8×C47C2×D412yes—
175C2×C8×C47#4112yes—
176C4⋊C4×C47—22no—
177C22⋊C4×C47—22no—
178C22⋊C4×C47—22no—
179C42×C47—21no—
180C42×C47—21no—
181C22⋊Dic47—22no—
182C22⋊Dic47—22no—
183C22⋊Dic47—22no—
184C22⋊Dic47—22no—
185C22⋊Dic47—22no—
186C22⋊Dic47—22no—
187C22⋊Dic47—41no—
188C22⋊Dic47—41no—
189C4⋊Dic47—22no—
190C4⋊Dic47—22no—
191Dic47⋊C4—22no—
192Dic47⋊C4—22no—
193Dic47⋊C4—22no—
194Dic47⋊C4—41no—
195C4×Dic47—21no—
196C4×Dic47—21no—
197C4×Dic47—21no—
198C4×Dic47—21no—
199C4×Dic47—21no—
200C4×Dic47—21no—
201C4×Dic47—21no—
202C4×Dic47—21no—
203#10625329—44no—
204C2×C47⋊C8—21no—
205C2×C47⋊C8—21no—
206C2×C47⋊C8—21no—
207C2×C47⋊C8—21no—
208C2×C47⋊C8—21no—
209C2×C47⋊C8—21no—
210C2×C47⋊C8—21no—
211C2×C47⋊C8—21no—
212C2×C47⋊C8—21no—
213C2×C47⋊C8—21no—
214C2×C47⋊C8—21no—
215C2×C47⋊C8#4112yes—
216C23×C47—21no—
217C23×C47—21no—
218C23×C47—21no—
219C23×C47—21no—
220C23×C47—21no—
221C23×C47—21no—
222C23×C47—21no—
223C23×C47—21no—
224C23×C47—21no—
225C23×C47—21no—
226C23×C47—21no—
227C23×C47—21no—
228C23×C47C4×D412yes—
229C23×C47#13112yes—
230C23×C47C23×C411yescharacteristic
231D4×C47—28no—
232C2×C4×C47—21no—
233C2×C4×C47—21no—
234C2×C4×C47—21no—
235C2×C4×C47—21no—
236C2×C4×C47—22no—
237C2×C4×C47—22no—
238C2×C4×C47—22no—
239C2×C4×C47—22no—
240C2×C4×C47—21no—
241C2×C4×C47—21no—
242C2×C4×C47—21no—
243C2×C4×C47—21no—
244C2×C4×C47—21no—
245C2×C4×C47—21no—
246C2×C4×C47—41no—
247C2×C4×C47—41no—
248C2×C4×C47—41no—
249C2×C4×C47—41no—
250C2×C4×C47C4×D412yes—
251C2×C4×C47#13112yes—
252C2×C4×C47C22×D411yescharacteristic
253C2×C4×C47C2×#4111yescharacteristic
254C2×C4×C47C2×#4111yescharacteristic
255C2×C4×C47C2×#4111yescharacteristic
256C2×C4×C47H(5,𝔽2)11yescharacteristic
257C2×C4×C472−1+411yescharacteristic
258C2×Dic47—21no—
259C2×Dic47—21no—
260C2×Dic47—21no—
261C2×Dic47—21no—
262C2×Dic47—21no—
263C2×Dic47—21no—
264C2×Dic47—21no—
265C2×Dic47—21no—
266C2×Dic47—21no—
267C2×Dic47—21no—
268C2×Dic47—21no—
269C2×Dic47—21no—
270C2×Dic47—21no—
271C2×Dic47—21no—
272C2×Dic47—21no—
273C2×Dic47—21no—
274C2×Dic47—21no—
275C2×Dic47—21no—
276C2×Dic47—21no—
277C2×Dic47—21no—
278C2×Dic47—21no—
279C2×Dic47—21no—
280C2×Dic47—21no—
281C2×Dic47#13112yes—
282C8×C47—22no—
283C8×C47—22no—
284C8×C47—22no—
285C8×C47—41no—
286C47⋊C8—22no—
287C47⋊C8—41no—
288C47⋊C8—41no—
289C47⋊C8—41no—
290#22901—471nomaximal, Sylow
291C22×C47—22no—
292C22×C47—22no—
293C22×C47—22no—
294C22×C47—22no—
295C22×C47—22no—
296C22×C47—22no—
297C22×C47—41no—
298C22×C47—41no—
299C22×C47—41no—
300C22×C47—41no—
301C22×C47—41no—
302C22×C47—41no—
303C22×C47—41no—
304C22×C47—41no—
305C22×C47C2×C4×D411yescharacteristic
306C22×C47C4×#4111yescharacteristic
307C22×C47#52011yescharacteristic
308C22×C47C2×#13111yescharacteristic
309C22×C47C2×#13111yescharacteristic
310C22×C47C2×#13111yescharacteristic
311C22×C47#56811yescharacteristic
312C4×C47—22no—
313C4×C47—22no—
314C4×C47—41no—
315C4×C47—41no—
316C4×C47#54611yescharacteristic
317C4×C47#54711yescharacteristic
318C4×C47#55111yescharacteristic
319C4×C47#55211yescharacteristic
320Dic47—22no—
321Dic47—41no—
322Dic47—41no—
323Dic47—41no—
324Dic47—41no—
325Dic47—41no—
326Dic47—41no—
327Dic47—41no—
328C2×C8×D4D4711yescharacteristic
329C2×#433—471no—
330#2395—471no—
331#1939—471no—
332#1924—471no—
333#1924—471no—
334#1916—471no—
335#1916—471no—
336#1870—471no—
337#1850—471no—
338#1850—471no—
339#1771—471no—
340#1753—471no—
341C8×C22⋊C4—471no—
342#1729—471no—
343C2×C47—42no—
344C2×C47—42no—
345C2×C47#235911yescharacteristic
346C2×C47#292911yescharacteristic
347C2×C47#293511yescharacteristic
348C2×C47#296611yescharacteristic
349C2×C47#296911yescharacteristic
350C2×C47#299211yescharacteristic
351C2×C47#299411yescharacteristic
352C22×M16—471no—
353C23×C8C2×D4711yescharacteristic
354C23×C8C2×D4711yescharacteristic
355C2×C4×D4C2×D4711yescharacteristic
356C2×#117—471no—
357C8×D4—24no—
358#433—944no—
359C2×C4⋊C8—471no—
360C2×C4⋊C8—471no—
361C2×C4⋊C8—471no—
362C2×C4⋊C8—471no—
363C2×C4⋊C8C2×D4711yescharacteristic
364C2×C22⋊C8—471no—
365C2×C22⋊C8—471no—
366C2×C22⋊C8—471no—
367C2×C22⋊C8C2×D4711yescharacteristic
368C2×C22⋊C8C2×D4711yescharacteristic
369C2×#97—471no—
370C2×#97—471no—
371C2×C4×C8—471no—
372C2×C4×C8—471no—
373C2×C4×C8C2×D4711yescharacteristic
374#400—471no—
375#399—471no—
376#398—471no—
377#397—471no—
378#397—471no—
379#397—471no—
380#394—471no—
381#394—471no—
382C4×C4⋊C4—471no—
383C4×C4⋊C4—471no—
384C4×C22⋊C4—471no—
385C4×C22⋊C4—471no—
386C4×C22⋊C4—471no—
387#336—471no—
388#336—471no—
389#336—471no—
390#336—471no—
391#336—471no—
392#336—471no—
393#336—471no—
394#336—471no—
395#336—471no—
396#336—471no—
397C47#2290111yescharacteristic, complemented, Sylow
398C22×D4C4×D4711yescharacteristic
399C23×C4C22×D4711yescharacteristic
400C23×C4C22×D4711yescharacteristic
401C2×M16—942no—
402C2×M16—942no—
403C2×M16—1881no—
404C22×C8—22no—
405C22×C8—22no—
406C22×C8—22no—
407C22×C8—22no—
408C22×C8—41no—
409C22×C8—41no—
410C22×C8—471no—
411C22×C8—471no—
412C22×C8—471no—
413C22×C8—471no—
414C22×C8C22×D4711yescharacteristic
415C22×C8C22×D4711yescharacteristic
416C22×C8C22×D4711yescharacteristic
417C22×C8C22×D4711yescharacteristic
418C4×D4—22no—
419C4×D4—22no—
420#117—942no—
421#117—942no—
422C2×C4⋊C4—471no—
423C2×C4⋊C4—471no—
424C2×C4⋊C4—471no—
425C2×C4⋊C4—471no—
426C2×C4⋊C4—471no—
427C2×C4⋊C4—471no—
428C2×C4⋊C4C4×D4711yescharacteristic
429C2×C22⋊C4—471no—
430C2×C22⋊C4—471no—
431C2×C22⋊C4—471no—
432C2×C22⋊C4—471no—
433C2×C22⋊C4—471no—
434C2×C22⋊C4—471no—
435C2×C22⋊C4—471no—
436C2×C22⋊C4—471no—
437C2×C22⋊C4C4×D4711yescharacteristic
438C2×C22⋊C4C4×D4711yescharacteristic
439C2×C42—471no—
440C2×C42—471no—
441C2×C42—471no—
442C2×C42—471no—
443C2×C42C22×D4711yescharacteristic
444C4⋊C8—22no—
445C4⋊C8—942no—
446C4⋊C8—942no—
447C4⋊C8—942no—
448C4⋊C8—1881no—
449C22⋊C8—22no—
450C22⋊C8—942no—
451C22⋊C8—942no—
452C22⋊C8—1881no—
453C22⋊C8C22⋊D4714yes—
454#97—942no—
455#97—942no—
456C4×C8—22no—
457C4×C8—942no—
458C4×C8—1881no—
459#95—471no—
460#95—471no—
461#95—471no—
462#95—471no—
463#95—471no—
464#95—471no—
465#95—471no—
466#95—471no—
467#95—471no—
468#95—471no—
469C24C2×C4×D4711yescharacteristic
470C24C2×C4×D4711yescharacteristic
471C2×D4—22no—
472C2×D4—22no—
473C2×D4—22no—
474C22×C4—21no—
475C22×C4—21no—
476C22×C4—21no—
477C22×C4—21no—
478C22×C4—21no—
479C22×C4—21no—
480C22×C4—21no—
481C22×C4—21no—
482C22×C4—21no—
483C22×C4—21no—
484C22×C4—471no—
485C22×C4—471no—
486C22×C4—471no—
487C22×C4—471no—
488C22×C4—471no—
489C22×C4—471no—
490C22×C4—471no—
491C22×C4—471no—
492C22×C4C2×C4×D4711yescharacteristic
493C22×C4C2×C4×D4711yescharacteristic
494C22×C4C2×C4×D4711yescharacteristic
495C22×C4C2×C4×D4711yescharacteristic
496C22×C4#1062535012yes—
497C22×C4C2×C22⋊D4712yes—
498C22×C4C23×D4711yescharacteristic
499M16—1884no—
500C2×C8—21no—
501C2×C8—21no—
502C2×C8—21no—
503C2×C8—21no—
504C2×C8—21no—
505C2×C8—21no—
506C2×C8—21no—
507C2×C8—21no—
508C2×C8—21no—
509C2×C8—44no—
510C2×C8—44no—
511C2×C8—472no—
512C2×C8—941no—
513C2×C8—941no—
514C2×C8—941no—
515C2×C8—941no—
516C2×C8—941no—
517C2×C8—941no—
518C2×C8—941no—
519C2×C8—941no—
520C2×C8—941no—
521C2×C8—941no—
522C2×C8—941no—
523C2×C8#1062535212yes—
524C2×C8C2×C22⋊D4712yes—
525C2×C8C2×C22⋊D4712yes—
526C4⋊C4—22no—
527C4⋊C4—942no—
528C4⋊C4—942no—
529C4⋊C4—942no—
530C4⋊C4—942no—
531C4⋊C4—942no—
532C4⋊C4—1881no—
533C22⋊C4—22no—
534C22⋊C4—22no—
535C22⋊C4—942no—
536C22⋊C4—942no—
537C22⋊C4—942no—
538C22⋊C4—942no—
539C22⋊C4—942no—
540C22⋊C4—942no—
541C22⋊C4—1881no—
542C22⋊C4—1881no—
543C42—21no—
544C42—21no—
545C42—941no—
546C42—941no—
547C42—941no—
548C42—941no—
549C42—941no—
550C42—941no—
551C42—941no—
552C42—941no—
553C23—21no—
554C23—21no—
555C23—21no—
556C23—21no—
557C23—21no—
558C23—21no—
559C23—21no—
560C23—21no—
561C23—21no—
562C23—21no—
563C23—21no—
564C23—21no—
565C23C4×C22⋊D4712yes—
566C23#1309403012yes—
567C23C22×C4×D4711yescharacteristic
568D4—28no—
569C2×C4—21no—
570C2×C4—21no—
571C2×C4—21no—
572C2×C4—21no—
573C2×C4—22no—
574C2×C4—22no—
575C2×C4—22no—
576C2×C4—22no—
577C2×C4—21no—
578C2×C4—21no—
579C2×C4—21no—
580C2×C4—21no—
581C2×C4—21no—
582C2×C4—21no—
583C2×C4—41no—
584C2×C4—41no—
585C2×C4—41no—
586C2×C4—41no—
587C2×C4—472no—
588C2×C4—941no—
589C2×C4—941no—
590C2×C4—941no—
591C2×C4—941no—
592C2×C4—941no—
593C2×C4—941no—
594C2×C4—941no—
595C2×C4—941no—
596C2×C4—941no—
597C2×C4—941no—
598C2×C4—941no—
599C2×C4—941no—
600C2×C4—941no—
601C2×C4—941no—
602C2×C4—941no—
603C2×C4—941no—
604C2×C4—941no—
605C2×C4—941no—
606C2×C4—941no—
607C2×C4—941no—
608C2×C4—941no—
609C2×C4—941no—
610C2×C4—941no—
611C2×C4C4×C22⋊D4712yes—
612C2×C4#1309403012yes—
613C2×C4C22×C22⋊D4711yescharacteristic
614C2×C4#41×D4711yescharacteristic
615C2×C4C2×#1062535211yescharacteristic
616C2×C4C2×#1062535011yescharacteristic
617C2×C4#1309406911yescharacteristic
618C2×C4#1309407111yescharacteristic
619C8—22no—
620C8—22no—
621C8—22no—
622C8—41no—
623C8—942no—
624C8—1881no—
625C8—1881no—
626C8—1881no—
627C22—22no—
628C22—22no—
629C22—22no—
630C22—22no—
631C22—22no—
632C22—22no—
633C22—41no—
634C22—41no—
635C22—41no—
636C22—41no—
637C22—41no—
638C22—41no—
639C22—41no—
640C22—41no—
641C22C2×C4×C22⋊D4711yescharacteristic
642C22C4×#1062535211yescharacteristic
643C22#1568960211yescharacteristic
644C22#131×D4711yescharacteristic
645C22C2×#1309403011yescharacteristic
646C22C2×#1309403011yescharacteristic
647C22#1568988811yescharacteristic
648C4—22no—
649C4—22no—
650C4—41no—
651C4—41no—
652C4—942no—
653C4—1881no—
654C4—1881no—
655C4—1881no—
656C4—1881no—
657C4—1881no—
658C4—1881no—
659C4—1881no—
660C4#1568976711yescharacteristic
661C4#1568977211yescharacteristic
662C4#1568980211yescharacteristic
663C4#1568981311yescharacteristic
664C2—42no—
665C2—42no—
666C2#2024637411yescharacteristic
667C2#2025208211yescharacteristic
668C2#2025213011yescharacteristic
669C2#2025235611yescharacteristic
670C2#2025238911yescharacteristic
671C2#2025252111yescharacteristic
672C2#2025254311yescharacteristic
subgroupG/H
center, FrattiniC22×C4C23×D47
commutator, socleC23×C47C23×C4
FittingC2×C8×D4×C47C2
prime radicalC22×D4×C47C2×C4
cosocleC22×C4×C47C24
hypercenterC2×C8×D4D47
hypocenterC47#22901
LCSG ▷ C23×C47 ▷ C47
UCSC1 ◁ C22×C4 ◁ C2×C8×D4

Complements

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

NH ≅ G/Ntype
1. C2×#15689181C2semidirect
3. #20244103C2semidirect
4. #20244004C2semidirect
5. #20243998C2semidirect
6. #20243945C2semidirect
7. #20243942C2semidirect
9. #20243566C2semidirect
10. #20243566C2semidirect
11. #20243262C2semidirect
12. #20243174C2semidirect
13. C8×C22⋊Dic47C2semidirect
14. #20243084C2semidirect
397. C47#22901semidirect

Maximal subgroups

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

subgroupindex
C2×#156891812
#202466472
#202441032
#202440042
#202439982
#202439452
#202439422
#202436862
#202435662
#202432622
#202431742
C8×C22⋊Dic472
#202430842
C2×C8×D4×C472
#2290147