Finite Group Databasebeta

← #26216155

Subgroups — #26216155

Order 12032.

2038 conjugacy classes of subgroups.

The subgroup lattice has 700 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×C42×D47C211yesmaximal, characteristic
2C2×#15689175C212yesmaximal, complemented
3#20243455C212yesmaximal, complemented
4#20243368C211yesmaximal, characteristic, complemented
5#20243365C212yesmaximal, complemented
6#20243297C212yesmaximal
7C22⋊C8×Dic47C212yesmaximal, complemented
8#20243145C212yesmaximal, complemented
9C47×#1797C211yesmaximal, characteristic, complemented
10C23×C4×D47C411yescharacteristic
11C23×C4×D47C411yescharacteristic
12C23×C4×D47C2211yescharacteristic
13C22×C4×Dic47C411yescharacteristic
14C22×C4×Dic47C411yescharacteristic
15C22×C4×Dic47C2211yescharacteristic
16C2×C42×D47—28no—
17C2×C42×D47C411yescharacteristic
18C2×C42×D47C411yescharacteristic
19C2×C42×D47C411yescharacteristic
20C2×C42×D47C411yescharacteristic
21C2×C42×D47C2211yescharacteristic
22C2×C42×D47C2211yescharacteristic
23C2×C42×D47C2211yescharacteristic
24C2×C42×D47C2211yescharacteristic
25#15689175—28no—
26C2×C4⋊(C47⋊C8)C2212yescomplemented
27C2×C22⋊(C47⋊C8)C2212yes—
28C2×(C2×D47)⋊C8C2214yes—
29C2×(C2×D47)⋊C8C2214yes—
30C2×C8×Dic47C2214yescomplemented
31#15688878C2212yescomplemented
32#15688877C2214yescomplemented
33C22×C42×C47C2211yescharacteristic
34C2×C4⋊C8×C47C2212yescomplemented
35C2×C22⋊C8×C47C2212yes—
36C47×#336C2212yescomplemented
37C24×D47C2×C411yescharacteristic
38C23×Dic47C2×C411yescharacteristic
39C23×Dic47C2×C411yescharacteristic
40C23×Dic47C2×C411yescharacteristic
41C22×C4×D47—22no—
42C22×C4×D47—22no—
43C22×C4×D47—24no—
44C22×C4×D47—24no—
45C22×C4×D47—24no—
46C22×C4×D47—24no—
47C22×C4×D47—24no—
48C22×C4×D47—24no—
49C22×C4×D47—24no—
50C22×C4×D47C818yescomplemented
51C22×C4×D47C2×C411yescharacteristic
52C22×C4×D47C2×C411yescharacteristic
53C22×C4×D47C2×C411yescharacteristic
54C22×C4×D47C2×C411yescharacteristic
55C22×C4×D47C2×C411yescharacteristic
56C22×C4×D47C2×C411yescharacteristic
57C22×C4×D47C2×C411yescharacteristic
58C22×C4×D47C2×C411yescharacteristic
59C22×C4×D47C2×C411yescharacteristic
60C22×C4×D47C2×C411yescharacteristic
61C22×C4×D47C2311yescharacteristic
62C22×C4×D47C2311yescharacteristic
63C22×C47⋊C8C2314yes—
64C2×C4×Dic47—24no—
65C2×C4×Dic47—24no—
66C2×C4×Dic47—24no—
67C2×C4×Dic47C2×C411yescharacteristic
68C2×C4×Dic47C2×C411yescharacteristic
69C2×C4×Dic47C2×C411yescharacteristic
70C2×C4×Dic47C2×C411yescharacteristic
71C2×C4×Dic47C2×C411yescharacteristic
72C2×C4×Dic47C2×C411yescharacteristic
73C2×C4×Dic47C2×C411yescharacteristic
74C2×C4×Dic47C2×C411yescharacteristic
75C2×C4×Dic47C2×C411yescharacteristic
76C2×C4×Dic47C2×C411yescharacteristic
77C2×C4×Dic47C2311yescharacteristic
78C2×C4×Dic47C2311yescharacteristic
79C42×D47—24no—
80C42×D47—24no—
81C42×D47—24no—
82C42×D47—24no—
83C42×D47—24no—
84C42×D47—24no—
85C42×D47—24no—
86C42×D47D418yes—
87C4⋊(C47⋊C8)—24no—
88C22⋊(C47⋊C8)—24no—
89(C2×D47)⋊C8—28no—
90(C2×D47)⋊C8—28no—
91C8×Dic47—28no—
92C23×C4×C47C2×C411yescharacteristic
93C23×C4×C47C2×C411yescharacteristic
94C23×C4×C47C2311yescharacteristic
95C22×C8×C47C2314yes—
96C2×C42×C47—24no—
97C2×C42×C47C2×C411yescharacteristic
98C2×C42×C47C2×C411yescharacteristic
99C2×C42×C47C2311yescharacteristic
100C2×C42×C47C2311yescharacteristic
101C4⋊C8×C47—24no—
102C22⋊C8×C47—24no—
103C24×C47C22×C411yescharacteristic
104C23×D47—22no—
105C23×D47—22no—
106C23×D47—22no—
107C23×D47—22no—
108C23×D47—22no—
109C23×D47—22no—
110C23×D47C2×C814yes—
111C23×D47C22×C411yescharacteristic
112C23×D47C22×C411yescharacteristic
113C22×C4×C47—22no—
114C22×C4×C47—22no—
115C22×C4×C47—22no—
116C22×C4×C47—22no—
117C22×C4×C47—22no—
118C22×C4×C47—22no—
119C22×C4×C47—22no—
120C22×C4×C47C2×C814yes—
121C22×C4×C47C22×C411yescharacteristic
122C22×C4×C47C22×C411yescharacteristic
123C22×C4×C47C22×C411yescharacteristic
124C22×C4×C47C22×C411yescharacteristic
125C22×C4×C47C22×C411yescharacteristic
126C22×C4×C47#4112yes—
127C22×C4×C47#4112yes—
128C22×C4×C47C2411yescharacteristic
129C22×Dic47—22no—
130C22×Dic47—22no—
131C22×Dic47—22no—
132C22×Dic47—22no—
133C22×Dic47—22no—
134C22×Dic47—22no—
135C22×Dic47—22no—
136C22×Dic47C2×C814yes—
137C22×Dic47M1614yes—
138C22×Dic47C22×C411yescharacteristic
139C22×Dic47C22×C411yescharacteristic
140C22×Dic47C22×C411yescharacteristic
141C22×Dic47C22×C411yescharacteristic
142C22×Dic47C22×C411yescharacteristic
143C22×Dic47C22×C411yescharacteristic
144C2×C4×D47—216no—
145C2×C4×D47—216no—
146C2×C4×D47—232no—
147C2×C4×D47—22no—
148C2×C4×D47—22no—
149C2×C4×D47—22no—
150C2×C4×D47—22no—
151C2×C4×D47—22no—
152C2×C4×D47—22no—
153C2×C4×D47—22no—
154C2×C4×D47—22no—
155C2×C4×D47—22no—
156C2×C4×D47—22no—
157C2×C4×D47—22no—
158C2×C4×D47—22no—
159C2×C4×D47—22no—
160C2×C4×D47—22no—
161C2×C4×D47—21no—
162C2×C4×D47—21no—
163C2×C4×D47—21no—
164C2×C4×D47—21no—
165C2×C4×D47—22no—
166C2×C4×D47—22no—
167C2×C4×D47—22no—
168C2×C4×D47—22no—
169C2×C4×D47—22no—
170C2×C4×D47—22no—
171C2×C4×D47—22no—
172C2×C4×D47—22no—
173C2×C4×D47—22no—
174C2×C4×D47—22no—
175C2×C4×D47—232no—
176C2×C4×D47C22⋊C414yes—
177C2×C4×D47C22⋊C414yes—
178C2×C4×D47C2×C814yes—
179C2×C4×D47C2×C814yes—
180C2×C4×D47C2×C814yes—
181C2×C4×D47C2×C814yes—
182C2×C4×D47M1614yes—
183C2×C4×D47M1614yes—
184C2×C4×D47C2×D414yes—
185C2×C4×D47#4114yes—
186C2×C8×C47—24no—
187C2×C8×C47—24no—
188C2×C8×C47—24no—
189C42×C47—22no—
190C42×C47—22no—
191C42×C47—22no—
192C42×C47C2×D414yes—
193C4×Dic47—22no—
194C4×Dic47—22no—
195C4×Dic47—22no—
196C4×Dic47—22no—
197C4×Dic47—22no—
198C4×Dic47—22no—
199C4×Dic47—22no—
200C4×Dic47—22no—
201C4×Dic47—22no—
202C4×Dic47C22⋊C414yes—
203C4×Dic47C22⋊C414yes—
204C4×Dic47C2×D414yes—
205C2×C47⋊C8—24no—
206C2×C47⋊C8—24no—
207C2×C47⋊C8—24no—
208C23×C47—21no—
209C23×C47—21no—
210C23×C47—21no—
211C23×C47—21no—
212C23×C47#11712yes—
213C23×C47C22×C812yes—
214C23×C47C2×M1612yes—
215C23×C47C23×C411yescharacteristic
216C22×D47—28no—
217C22×D47—28no—
218C22×D47—28no—
219C22×D47—28no—
220C22×D47—21no—
221C22×D47—21no—
222C22×D47—21no—
223C22×D47—21no—
224C22×D47—21no—
225C22×D47—21no—
226C22×D47—21no—
227C22×D47—21no—
228C22×D47—28no—
229C22×D47—28no—
230C22×D47—28no—
231C22×D47C2×C22⋊C412yes—
232C22×D47#11712yes—
233C22×D47C22×C812yes—
234C22×D47C22×C812yes—
235C22×D47C2×M1612yes—
236C22×D47C2×M1612yes—
237C2×C4×C47—28no—
238C2×C4×C47—21no—
239C2×C4×C47—21no—
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—24no—
247C2×C4×C47—24no—
248C2×C4×C47—28no—
249C2×C4×C47C2×C22⋊C412yes—
250C2×C4×C47C2×C22⋊C412yes—
251C2×C4×C47#11712yes—
252C2×C4×C47C22×C812yes—
253C2×C4×C47C22×C812yes—
254C2×C4×C47C2×M1612yes—
255C2×C4×C47C2×M1612yes—
256C2×C4×C47C22×D412yes—
257C2×C4×C47C2×#4112yes—
258C2×C4×C47C2×#4111yescharacteristic
259C2×C4×C47C2×#4111yescharacteristic
260C2×Dic47—28no—
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—28no—
270C2×Dic47—28no—
271C2×Dic47C2×C22⋊C412yes—
272C2×Dic47C2×C22⋊C412yes—
273C2×Dic47C2×C22⋊C412yes—
274C2×Dic47#11712yes—
275C2×Dic47C22×C812yes—
276C2×Dic47C22×C812yes—
277C2×Dic47C2×M1612yes—
278C2×Dic47C2×M1612yes—
279C2×Dic47C2×M1612yes—
280C2×Dic47C2×M1612yes—
281C4×D47—28no—
282C4×D47—28no—
283C4×D47—28no—
284C4×D47—28no—
285C4×D47—28no—
286C4×D47—24no—
287C4×D47—24no—
288C4×D47—24no—
289C4×D47—24no—
290C4×D47—28no—
291C4×D47—28no—
292C4×D47—28no—
293C4×D47—28no—
294C4×D47C22⋊C8116yescomplemented
295C8×C47—44no—
296C47⋊C8—44no—
297#20714—471nomaximal, Sylow
298C22×C47—22no—
299C22×C47—22no—
300C22×C47—22no—
301C22×C47—22no—
302C22×C47—22no—
303C22×C47—22no—
304C22×C47#43114yescomplemented
305C22×C47C22×C22⋊C411yescharacteristic
306C22×C47C2×#11711yescharacteristic
307C22×C47C2×#11711yescharacteristic
308C22×C47C23×C811yescharacteristic
309C22×C47C22×M1611yescharacteristic
310C22×C47C22×M1611yescharacteristic
311C22×C47C22×M1611yescharacteristic
312C2×D47—232no—
313C2×D47—22no—
314C2×D47—22no—
315C2×D47—22no—
316C2×D47—22no—
317C2×D47—22no—
318C2×D47—22no—
319C2×D47—22no—
320C2×D47—22no—
321C2×D47—22no—
322C2×D47—22no—
323C2×D47—22no—
324C2×D47—22no—
325C2×D47C2×C22⋊C814yes—
326C2×D47#43114yescomplemented
327C4×C47—22no—
328C4×C47—22no—
329C4×C47—22no—
330C4×C47—22no—
331C4×C47C2×C22⋊C814yes—
332C4×C47#52512yes—
333C4×C47#52512yes—
334Dic47—22no—
335Dic47—22no—
336Dic47—22no—
337Dic47—22no—
338Dic47C2×C22⋊C814yes—
339Dic47#40714yes—
340C23×C42—471no—
341C2×#431—472no—
342#1817—472no—
343#1797—471no—
344#1797—472no—
345#1797D4711yescharacteristic, complemented
346#1779—472no—
347C4×C22⋊C8—472no—
348C4×C22⋊C8—472no—
349C2×C47—24no—
350C2×C47#228011yescharacteristic
351C2×C47C22×C22⋊C811yescharacteristic
352C2×C47C2×#40711yescharacteristic
353C2×C47C2×#43111yescharacteristic
354C2×C47C2×#43111yescharacteristic
355C2×C47#292011yescharacteristic
356C2×C47#292011yescharacteristic
357D47—24no—
358D47—24no—
359C24×C4—471no—
360C24×C4—471no—
361C24×C4—471no—
362C22×C42—471no—
363C22×C42—471no—
364C22×C42—471no—
365C22×C42—471no—
366C22×C42—471no—
367C22×C42—471no—
368C22×C42—471no—
369C22×C42—471no—
370C22×C42—471no—
371C22×C42—471no—
372C22×C42—471no—
373C22×C42—948no—
374C22×C42C2×D4711yescharacteristic
375#431—948no—
376C2×C4⋊C8—472no—
377C2×C4⋊C8C2×D4712yescomplemented
378C2×C22⋊C8—472no—
379C2×C22⋊C8—474no—
380C2×C22⋊C8—474no—
381C2×C22⋊C8C2×D4712yes—
382C2×C4×C8—474no—
383#336—474no—
384#336—472no—
385#336C2×D4712yescomplemented
386C47#2071411yescharacteristic, complemented, Sylow
387C25—471no—
388C23×C4—471no—
389C23×C4—471no—
390C23×C4—471no—
391C23×C4—478no—
392C23×C4—471no—
393C23×C4—471no—
394C23×C4—471no—
395C23×C4—471no—
396C23×C4—471no—
397C23×C4—471no—
398C23×C4—471no—
399C23×C4—471no—
400C23×C4—471no—
401C23×C4—471no—
402C23×C4—471no—
403C23×C4—471no—
404C23×C4—944no—
405C23×C4—944no—
406C23×C4—944no—
407C23×C4—944no—
408C23×C4—944no—
409C23×C4—944no—
410C23×C4—944no—
411C23×C4—942no—
412C23×C4—942no—
413C23×C4C4×D4711yescharacteristic
414C23×C4C4×D4711yescharacteristic
415C23×C4C22×D4711yescharacteristic
416C22×C8—474no—
417C22×C8C22×D4714yes—
418C2×C42—24no—
419C2×C42—471no—
420C2×C42—471no—
421C2×C42—471no—
422C2×C42—478no—
423C2×C42—471no—
424C2×C42—471no—
425C2×C42—471no—
426C2×C42—471no—
427C2×C42—471no—
428C2×C42—471no—
429C2×C42—471no—
430C2×C42—471no—
431C2×C42—471no—
432C2×C42—944no—
433C2×C42—944no—
434C2×C42—944no—
435C2×C42—944no—
436C2×C42—944no—
437C2×C42—944no—
438C2×C42—944no—
439C2×C42—944no—
440C2×C42—944no—
441C2×C42—944no—
442C2×C42C4×D4711yescharacteristic
443C2×C42C4×D4711yescharacteristic
444C2×C42C22×D4711yescharacteristic
445C2×C42C22×D4711yescharacteristic
446C4⋊C8—24no—
447C4⋊C8—944no—
448C22⋊C8—24no—
449C22⋊C8—948no—
450C22⋊C8—948no—
451C22⋊C8—944no—
452C4×C8—948no—
453C24—471no—
454C24—471no—
455C24—474no—
456C24—942no—
457C24—942no—
458C24—942no—
459C24—942no—
460C24—942no—
461C24—942no—
462C24C2×C4×D4711yescharacteristic
463C22×C4—22no—
464C22×C4—22no—
465C22×C4—22no—
466C22×C4—22no—
467C22×C4—22no—
468C22×C4—22no—
469C22×C4—22no—
470C22×C4—471no—
471C22×C4—471no—
472C22×C4—474no—
473C22×C4—474no—
474C22×C4—474no—
475C22×C4—474no—
476C22×C4—474no—
477C22×C4—471no—
478C22×C4—471no—
479C22×C4—471no—
480C22×C4—471no—
481C22×C4—474no—
482C22×C4—474no—
483C22×C4—474no—
484C22×C4—474no—
485C22×C4—474no—
486C22×C4—474no—
487C22×C4—474no—
488C22×C4—942no—
489C22×C4—942no—
490C22×C4—942no—
491C22×C4—942no—
492C22×C4—942no—
493C22×C4—942no—
494C22×C4—942no—
495C22×C4—942no—
496C22×C4—942no—
497C22×C4—942no—
498C22×C4—9432no—
499C22×C4—942no—
500C22×C4—942no—
501C22×C4—942no—
502C22×C4—942no—
503C22×C4—942no—
504C22×C4—942no—
505C22×C4—9432no—
506C22×C4—9416no—
507C22×C4—9416no—
508C22×C4—942no—
509C22×C4—942no—
510C22×C4—942no—
511C22×C4—942no—
512C22×C4—942no—
513C22×C4—942no—
514C22×C4—942no—
515C22×C4—942no—
516C22×C4—942no—
517C22×C4—942no—
518C22×C4—942no—
519C22×C4—942no—
520C22×C4—942no—
521C22×C4—942no—
522C22×C4—942no—
523C22×C4—941no—
524C22×C4—941no—
525C22×C4—941no—
526C22×C4—941no—
527C22×C4C8×D4714yes—
528C22×C4C2×C4×D4711yescharacteristic
529C22×C4C2×C4×D4711yescharacteristic
530C22×C4C2×C4×D4711yescharacteristic
531C22×C4C2×C4×D4711yescharacteristic
532C22×C4C2×C4×D4711yescharacteristic
533C22×C4#1062535212yes—
534C22×C4#1062535412yes—
535C22×C4C23×D4711yescharacteristic
536C2×C8—24no—
537C2×C8—24no—
538C2×C8—24no—
539C2×C8—944no—
540C2×C8—944no—
541C2×C8—944no—
542C42—22no—
543C42—22no—
544C42—22no—
545C42—474no—
546C42—474no—
547C42—474no—
548C42—942no—
549C42—942no—
550C42—942no—
551C42—942no—
552C42—942no—
553C42—942no—
554C42—942no—
555C42—942no—
556C42—942no—
557C42D4×D4714yes—
558C23—21no—
559C23—21no—
560C23—21no—
561C23—21no—
562C23—472no—
563C23—472no—
564C23—472no—
565C23—472no—
566C23—472no—
567C23—472no—
568C23—948no—
569C23—948no—
570C23—948no—
571C23—948no—
572C23—948no—
573C23—948no—
574C23—941no—
575C23—941no—
576C23—941no—
577C23—941no—
578C23—941no—
579C23—941no—
580C23—941no—
581C23—941no—
582C23—948no—
583C23#1309398212yes—
584C23C2×C8×D4712yes—
585C23M16×D4712yes—
586C23C22×C4×D4711yescharacteristic
587C2×C4—28no—
588C2×C4—21no—
589C2×C4—21no—
590C2×C4—21no—
591C2×C4—21no—
592C2×C4—21no—
593C2×C4—21no—
594C2×C4—21no—
595C2×C4—21no—
596C2×C4—28no—
597C2×C4—24no—
598C2×C4—24no—
599C2×C4—472no—
600C2×C4—472no—
601C2×C4—472no—
602C2×C4—472no—
603C2×C4—472no—
604C2×C4—472no—
605C2×C4—4716no—
606C2×C4—472no—
607C2×C4—472no—
608C2×C4—472no—
609C2×C4—472no—
610C2×C4—948no—
611C2×C4—948no—
612C2×C4—948no—
613C2×C4—948no—
614C2×C4—948no—
615C2×C4—948no—
616C2×C4—948no—
617C2×C4—948no—
618C2×C4—948no—
619C2×C4—948no—
620C2×C4—948no—
621C2×C4—941no—
622C2×C4—941no—
623C2×C4—941no—
624C2×C4—941no—
625C2×C4—941no—
626C2×C4—941no—
627C2×C4—941no—
628C2×C4—941no—
629C2×C4—948no—
630C2×C4—944no—
631C2×C4—944no—
632C2×C4—944no—
633C2×C4—944no—
634C2×C4C22⋊C4×D4712yes—
635C2×C4C22⋊C4×D4712yes—
636C2×C4#1309398212yes—
637C2×C4C2×C8×D4712yes—
638C2×C4C2×C8×D4712yes—
639C2×C4M16×D4712yes—
640C2×C4M16×D4712yes—
641C2×C4C2×D4×D4712yes—
642C2×C4#41×D4712yes—
643C2×C4C2×#1062535211yescharacteristic
644C2×C4C2×#1062535411yescharacteristic
645C8—44no—
646C8—1884no—
647C22—22no—
648C22—22no—
649C22—22no—
650C22—22no—
651C22—22no—
652C22—22no—
653C22—474no—
654C22—474no—
655C22—9432no—
656C22—942no—
657C22—942no—
658C22—942no—
659C22—942no—
660C22—942no—
661C22—942no—
662C22—942no—
663C22—942no—
664C22—942no—
665C22—942no—
666C22—942no—
667C22—942no—
668C22#1568917514yescomplemented
669C22C2×C22⋊C4×D4711yescharacteristic
670C22#117×D4711yescharacteristic
671C22C2×#1309398211yescharacteristic
672C22C22×C8×D4711yescharacteristic
673C22C2×M16×D4711yescharacteristic
674C22C2×M16×D4711yescharacteristic
675C22C2×M16×D4711yescharacteristic
676C4—22no—
677C4—22no—
678C4—22no—
679C4—22no—
680C4—474no—
681C4—474no—
682C4—942no—
683C4—942no—
684C4—942no—
685C4—942no—
686C4C22⋊C8×D4714yes—
687C4#1568963312yes—
688C4#1568963612yes—
689C2—24no—
690C2—944no—
691C2—944no—
692C2#2024577011yescharacteristic
693C2C2×C22⋊C8×D4711yescharacteristic
694C2#407×D4711yescharacteristic
695C2#431×D4711yescharacteristic
696C2C2×#1568917511yescharacteristic
697C2#2025201811yescharacteristic
698C2#2025202011yescharacteristic
subgroupG/H
center, FrattiniC22×C4C23×D47
commutatorC22×C47C23×C8
FittingC47×#1797C2
socleC23×C47C23×C4
prime radicalC24×D47C2×C4
cosocleC22×C4×C47C24
hypercenter#1797D47
hypocenterC47#20714
LCSG ▷ C22×C47 ▷ C47
UCSC1 ◁ C22×C4 ◁ #1797

Complements

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

NH ≅ G/Ntype
2. C2×#15689175C2semidirect
3. #20243455C2semidirect
4. #20243368C2semidirect
5. #20243365C2semidirect
7. C22⋊C8×Dic47C2semidirect
8. #20243145C2semidirect
9. C47×#1797C2semidirect
26. C2×C4⋊(C47⋊C8)C22semidirect
30. C2×C8×Dic47C22semidirect
31. #15688878C22semidirect
32. #15688877C22semidirect
34. C2×C4⋊C8×C47C22semidirect
36. C47×#336C22semidirect
50. C22×C4×D47C8semidirect
294. C4×D47C22⋊C8semidirect
304. C22×C47#431semidirect
326. C2×D47#431semidirect
345. #1797D47semidirect
377. C2×C4⋊C8C2×D47semidirect
385. #336C2×D47semidirect
386. C47#20714semidirect
668. C22#15689175semidirect

Maximal subgroups

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

subgroupindex
C22×C42×D472
C2×#156891752
#202434552
#202433682
#202433652
#202432972
C22⋊C8×Dic472
#202431452
C47×#17972
#2071447