Finite Group Databasebeta

← C2×#20243321 #26215461

Subgroups — C2×#20243321 #26215461

Order 12032.

3942 conjugacy classes of subgroups.

The subgroup lattice has 672 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C23×Q8×D47C211yesmaximal, characteristic
2C22×#13093949C211yesmaximal, characteristic, complemented
3C22×#13093948C211yesmaximal, characteristic, complemented
4C22×#13093947C211yesmaximal, characteristic, complemented
5C22×(C2×D47)⋊C8C211yesmaximal, characteristic
6C2×#15688980C211yesmaximal, characteristic
7#20243321C218yesmaximal, direct product factor
8C22×#103×C47C211yesmaximal, characteristic, complemented
9C23×Dic94—21no—
10C23×Dic94C2211yescharacteristic
11C22×Q8×D47—24no—
12C22×Q8×D47—24no—
13C22×Q8×D47—24no—
14C22×Q8×D47—22no—
15C22×Q8×D47—24no—
16C22×Q8×D47—24no—
17C22×Q8×D47C418yescomplemented
18C22×Q8×D47C2214yes—
19C23×C4×D47—21no—
20C23×C4×D47C2211yescharacteristic
21C23×C47⋊C8C2211yescharacteristic
22C22×C4⋊Dic47C2211yescharacteristic
23C22×(C2×D47)⋊C4—21no—
24C2×#13093949—24no—
25C2×#13093949C2214yescomplemented
26C2×#13093948—24no—
27C2×#13093948C2214yescomplemented
28C2×#13093947—24no—
29C2×#13093947C2214yescomplemented
30C2×(C2×D47)⋊C8—24no—
31C2×(C2×D47)⋊C8C2214yes—
32#15688980—22no—
33#15688980C2214yes—
34C2×C47⋊#95—21no—
35C23×Q8×C47C2211yescharacteristic
36C23×C8×C47C2211yescharacteristic
37C22×C4⋊C4×C47C2211yescharacteristic
38C2×#103×C47—24no—
39C2×#103×C47C2214yescomplemented
40C24×D47D411yescharacteristic
41C22×Dic94—28no—
42C22×Dic94—28no—
43C22×Dic94—21no—
44C22×Dic94—22no—
45C22×Dic94—22no—
46C22×Dic94—22no—
47C22×Dic94—28no—
48C22×Dic94—24no—
49C22×Dic94C2×C414yes—
50C22×Dic94D414yes—
51C22×Dic94D414yes—
52C22×Dic94C2312yes—
53C2×Q8×D47—216no—
54C2×Q8×D47—216no—
55C2×Q8×D47—232no—
56C2×Q8×D47—232no—
57C2×Q8×D47—232no—
58C2×Q8×D47—28no—
59C2×Q8×D47—28no—
60C2×Q8×D47—216no—
61C2×Q8×D47—28no—
62C2×Q8×D47—232no—
63C2×Q8×D47—28no—
64C2×Q8×D47—28no—
65C2×Q8×D47C2×C4116yescomplemented
66C23×Dic47—21no—
67C23×Dic47—21no—
68C23×Dic47D411yescharacteristic
69C22×C4×D47—28no—
70C22×C4×D47—28no—
71C22×C4×D47—28no—
72C22×C4×D47—24no—
73C22×C4×D47—22no—
74C22×C4×D47—22no—
75C22×C4×D47—22no—
76C22×C4×D47—22no—
77C22×C4×D47C2×C414yes—
78C22×C4×D47D412yes—
79C22×C4×D47D414yes—
80C22×C4×D47C2312yes—
81C22×C47⋊C8—22no—
82C22×C47⋊C8—22no—
83C22×C47⋊C8—22no—
84C22×C47⋊C8C2312yes—
85C2×C4⋊Dic47—22no—
86C2×C4⋊Dic47—22no—
87C2×C4⋊Dic47—21no—
88C2×C4⋊Dic47C2312yes—
89C2×(C2×D47)⋊C4—24no—
90C2×(C2×D47)⋊C4—44no—
91#13093949—28no—
92#13093948—28no—
93#13093947—28no—
94(C2×D47)⋊C8—28no—
95C47⋊#95—24no—
96C22×Q8×C47—22no—
97C22×Q8×C47—22no—
98C22×Q8×C47—22no—
99C22×Q8×C47—21no—
100C22×Q8×C47C2×C414yes—
101C22×Q8×C47D414yes—
102C22×Q8×C47D414yes—
103C22×Q8×C47C2312yes—
104C23×C4×C47—21no—
105C23×C4×C47—21no—
106C23×C4×C47C2311yescharacteristic
107C22×C8×C47—22no—
108C22×C8×C47—22no—
109C22×C8×C47—22no—
110C22×C8×C47C2312yes—
111C2×C4⋊C4×C47—22no—
112C2×C4⋊C4×C47—22no—
113C2×C4⋊C4×C47—21no—
114C2×C4⋊C4×C47C2312yes—
115#103×C47—28no—
116C24×C47C2×D411yescharacteristic
117C23×D47—22no—
118C23×D47—22no—
119C23×D47—22no—
120C23×D47—22no—
121C23×D47C22⋊C414yes—
122C23×D47SD1614yes—
123C23×D47Q1614yes—
124C23×D47C2×D412yes—
125C2×Q8×C47—24no—
126C2×Q8×C47—28no—
127C2×Q8×C47—24no—
128C2×Q8×C47—24no—
129C2×Q8×C47—28no—
130C2×Q8×C47—28no—
131C2×Q8×C47—22no—
132C2×Q8×C47—22no—
133C2×Q8×C47—22no—
134C2×Q8×C47C22⋊C4116yescomplemented
135C2×Q8×C47C22×C414yes—
136C2×Q8×C47C2×D414yes—
137C2×Q8×C47C2×D414yes—
138C22×C4×C47—24no—
139C22×C4×C47—24no—
140C22×C4×C47—24no—
141C22×C4×C47—22no—
142C22×C4×C47—22no—
143C22×C4×C47—42no—
144C22×C4×C47—42no—
145C22×C4×C47—42no—
146C22×C4×C47C22×C412yes—
147C22×C4×C47C2×D411yescharacteristic
148C22×C4×C47C2×D412yes—
149C22×C4×C47C2×D412yes—
150C22×C4×C47C2×D412yes—
151C22×C4×C47C2×D412yes—
152C22×C4×C47C2×D412yes—
153C22×C4×C47C2411yescharacteristic
154C22×Dic47—24no—
155C22×Dic47—24no—
156C22×Dic47—24no—
157C22×Dic47—22no—
158C22×Dic47—22no—
159C22×Dic47—22no—
160C22×Dic47—22no—
161C22×Dic47—42no—
162C22×Dic47—42no—
163C22×Dic47—42no—
164C22×Dic47C22⋊C414yes—
165C22×Dic47C2×D412yes—
166Q8×D47—232no—
167Q8×D47—232no—
168Q8×D47—2128no—
169Q8×D47—232no—
170Q8×D47—232no—
171C2×C4×D47—216no—
172C2×C4×D47—216no—
173C2×C4×D47—264no—
174C2×C4×D47—216no—
175C2×C4×D47—28no—
176C2×C4×D47—28no—
177C2×C4×D47—28no—
178C2×C4×D47—28no—
179C2×C4×D47—24no—
180C2×C4×D47—24no—
181C2×C4×D47—22no—
182C2×C4×D47—22no—
183C2×C4×D47—22no—
184C2×C4×D47—22no—
185C2×C4×D47C22⋊C418yes—
186C2×C4×D47C22×C414yes—
187C2×C4×D47C2×D414yes—
188C2×Dic94—216no—
189C2×Dic94—216no—
190C2×Dic94—264no—
191C2×Dic94—28no—
192C2×Dic94—24no—
193C2×Dic94—28no—
194C2×Dic94—28no—
195C2×Dic94—24no—
196C2×Dic94—24no—
197C2×Dic94—22no—
198C2×Dic94—22no—
199C2×Dic94—22no—
200C2×Dic94—216no—
201C2×Dic94C22⋊C4116yescomplemented
202C2×Dic94C22×C414yes—
203C2×Dic94C2×D414yes—
204C2×Dic94C2×D414yes—
205C2×C8×C47—22no—
206C2×C8×C47—22no—
207C2×C8×C47—22no—
208C2×C8×C47—44no—
209C4⋊C4×C47—22no—
210C4⋊C4×C47—22no—
211C4⋊C4×C47—42no—
212(C2×D47)⋊C4—48no—
213C4⋊Dic47—22no—
214C4⋊Dic47—22no—
215C4⋊Dic47—42no—
216C2×C47⋊C8—22no—
217C2×C47⋊C8—22no—
218C2×C47⋊C8—22no—
219C2×C47⋊C8—44no—
220C23×C47C2×C22⋊C412yes—
221C23×C47#12012yes—
222C23×C47#12012yes—
223C23×C47C2×SD1612yes—
224C23×C47C2×Q1612yes—
225C23×C47#13712yes—
226C23×C47#13712yes—
227C23×C47C22×D411yescharacteristic
228C22×D47—22no—
229C22×D47—22no—
230C22×D47—22no—
231C22×D47—22no—
232C22×D47—28no—
233C22×D47—28no—
234C22×D47—28no—
235C22×D47—28no—
236C22×D47—28no—
237C22×D47—28no—
238C22×D47#103116yescomplemented
239C22×D47C2×C22⋊C414yes—
240C22×D47C2×SD1614yes—
241C22×D47C2×Q1614yes—
242Q8×C47—24no—
243Q8×C47—24no—
244Q8×C47—24no—
245Q8×C47—216no—
246Q8×C47C2×C22⋊C418yescomplemented
247C2×C4×C47—24no—
248C2×C4×C47—24no—
249C2×C4×C47—24no—
250C2×C4×C47—216no—
251C2×C4×C47—42no—
252C2×C4×C47—42no—
253C2×C4×C47—42no—
254C2×C4×C47—84no—
255C2×C4×C47C2×C22⋊C414yes—
256C2×C4×C47C2×C22⋊C412yes—
257C2×C4×C47C2×C22⋊C414yes—
258C2×C4×C47#12014yes—
259C2×C4×C47#12012yes—
260C2×C4×C47#12014yes—
261C2×C4×C47#12012yes—
262C2×C4×C47C23×C411yescharacteristic
263C2×C4×C47C22×D411yescharacteristic
264C2×C4×C47C22×D411yescharacteristic
265C2×C4×C47C22×D411yescharacteristic
266C2×C4×C47C22×D411yescharacteristic
267C2×C4×C47C22×D411yescharacteristic
268C2×Dic47—24no—
269C2×Dic47—22no—
270C2×Dic47—22no—
271C2×Dic47—24no—
272C2×Dic47—24no—
273C2×Dic47—28no—
274C2×Dic47—216no—
275C2×Dic47—42no—
276C2×Dic47—42no—
277C2×Dic47—42no—
278C2×Dic47—84no—
279C2×Dic47C2×C22⋊C414yes—
280C4×D47—264no—
281C4×D47—24no—
282C4×D47—24no—
283C4×D47—24no—
284C4×D47—24no—
285C4×D47—216no—
286Dic94—264no—
287Dic94—24no—
288Dic94—24no—
289Dic94—24no—
290Dic94—216no—
291Dic94C2×C22⋊C418yescomplemented
292C8×C47—42no—
293C47⋊C8—42no—
294C2×#1787—471nomaximal, Sylow
295C22×C47#37914yes—
296C22×C47C2×#10314yes—
297C22×C47#41914yes—
298C22×C47#44814yes—
299C22×C47#44814yes—
300C22×C47#45114yes—
301C22×C47#45114yes—
302C22×C47C22×C22⋊C411yescharacteristic
303C22×C47C2×#12011yescharacteristic
304C22×C47C2×#12011yescharacteristic
305C22×C47C22×SD1611yescharacteristic
306C22×C47C22×Q1611yescharacteristic
307C22×C47C2×#13711yescharacteristic
308C22×C47C2×#13711yescharacteristic
309C2×D47—24no—
310C2×D47—24no—
311C2×D47—24no—
312C2×D47—24no—
313C2×D47—24no—
314C2×D47—24no—
315C2×D47—232no—
316C2×D47C2×#10318yescomplemented
317C4×C47—28no—
318C4×C47—82no—
319C4×C47#37914yes—
320C4×C47C22×C22⋊C411yescharacteristic
321C4×C47C22×C22⋊C411yescharacteristic
322C4×C47C2×#12011yescharacteristic
323C4×C47C2×#12011yescharacteristic
324Dic47—24no—
325Dic47—28no—
326Dic47—82no—
327C24×Q8—471no—
328C22×#103—471no—
329C22×#103—471no—
330C22×#103—471no—
331C22×#103D4711yescharacteristic, complemented
332C22×C22⋊C8—471no—
333C2×#380—471no—
334#1787—478no—
335C2×C47#178718yescomplemented
336C2×C47C2×#37911yescharacteristic
337C2×C47C22×#10311yescharacteristic
338C2×C47C2×#41911yescharacteristic
339C2×C47C2×#44811yescharacteristic
340C2×C47C2×#44811yescharacteristic
341C2×C47C2×#45111yescharacteristic
342C2×C47C2×#45111yescharacteristic
343D47—28no—
344C23×Q8—478no—
345C23×Q8—474no—
346C23×Q8—471no—
347C23×Q8—941no—
348C23×Q8—942no—
349C23×Q8—944no—
350C23×Q8—944no—
351C23×Q8—944no—
352C23×Q8—944no—
353C23×Q8—944no—
354C23×Q8C2×D4711yescharacteristic
355C24×C4—471no—
356C24×C4—941no—
357C23×C8—471no—
358C23×C8C2×D4711yescharacteristic
359C22×C4⋊C4—471no—
360C22×C4⋊C4C2×D4711yescharacteristic
361C22×C22⋊C4—941no—
362C2×#103—24no—
363C2×#103—474no—
364C2×#103—474no—
365C2×#103—474no—
366C2×#103—944no—
367C2×#103—944no—
368C2×#103—944no—
369C2×#103C2×D4714yescomplemented
370C2×C22⋊C8—474no—
371C2×C22⋊C8—944no—
372#380—474no—
373#380—942no—
374C2×#95—941no—
375C47C2×#178711yescharacteristic, complemented, Sylow
376C25—471no—
377C22×Q8—22no—
378C22×Q8—22no—
379C22×Q8—22no—
380C22×Q8—21no—
381C22×Q8—4716no—
382C22×Q8—474no—
383C22×Q8—474no—
384C22×Q8—474no—
385C22×Q8—472no—
386C22×Q8—948no—
387C22×Q8—944no—
388C22×Q8—948no—
389C22×Q8—948no—
390C22×Q8—9416no—
391C22×Q8—948no—
392C22×Q8—9432no—
393C22×Q8—948no—
394C22×Q8—948no—
395C22×Q8—9432no—
396C22×Q8—9416no—
397C22×Q8—9432no—
398C22×Q8—9416no—
399C22×Q8—9432no—
400C22×Q8—948no—
401C22×Q8—948no—
402C22×Q8—942no—
403C22×Q8—942no—
404C22×Q8—941no—
405C22×Q8—942no—
406C22×Q8C4×D4714yes—
407C22×Q8D18814yes—
408C22×Q8C22⋊D4714yes—
409C22×Q8C22×D4712yes—
410C23×C4—21no—
411C23×C4—21no—
412C23×C4—471no—
413C23×C4—474no—
414C23×C4—472no—
415C23×C4—474no—
416C23×C4—472no—
417C23×C4—948no—
418C23×C4—944no—
419C23×C4—948no—
420C23×C4—948no—
421C23×C4—941no—
422C23×C4—942no—
423C23×C4—942no—
424C23×C4—942no—
425C23×C4—942no—
426C23×C4—941no—
427C23×C4C22×D4711yescharacteristic
428C22×C8—22no—
429C22×C8—22no—
430C22×C8—22no—
431C22×C8—472no—
432C22×C8—942no—
433C22×C8—942no—
434C22×C8—942no—
435C22×C8C22×D4712yes—
436C2×C4⋊C4—22no—
437C2×C4⋊C4—22no—
438C2×C4⋊C4—21no—
439C2×C4⋊C4—472no—
440C2×C4⋊C4—942no—
441C2×C4⋊C4—942no—
442C2×C4⋊C4—941no—
443C2×C4⋊C4C22×D4712yes—
444C2×C22⋊C4—944no—
445C2×C22⋊C4—1884no—
446#103—28no—
447#103—948no—
448#103—948no—
449#103—948no—
450C22⋊C8—948no—
451#95—944no—
452C24—474no—
453C24—474no—
454C24—474no—
455C24—472no—
456C24—942no—
457C24—942no—
458C24—942no—
459C24—942no—
460C24D4×D4711yescharacteristic
461C2×Q8—28no—
462C2×Q8—24no—
463C2×Q8—28no—
464C2×Q8—24no—
465C2×Q8—28no—
466C2×Q8—24no—
467C2×Q8—22no—
468C2×Q8—22no—
469C2×Q8—22no—
470C2×Q8—4716no—
471C2×Q8—474no—
472C2×Q8—474no—
473C2×Q8—474no—
474C2×Q8—9416no—
475C2×Q8—9464no—
476C2×Q8—9416no—
477C2×Q8—9416no—
478C2×Q8—9432no—
479C2×Q8—94128no—
480C2×Q8—9432no—
481C2×Q8—9432no—
482C2×Q8—9432no—
483C2×Q8—944no—
484C2×Q8—948no—
485C2×Q8—948no—
486C2×Q8—944no—
487C2×Q8—948no—
488C2×Q8—944no—
489C2×Q8—942no—
490C2×Q8—942no—
491C2×Q8—942no—
492C2×Q8(C2×D47)⋊C4116yescomplemented
493C2×Q8C2×C4×D4714yes—
494C2×Q8C2×D18814yes—
495C2×Q8C2×C22⋊D4714yes—
496C22×C4—24no—
497C22×C4—24no—
498C22×C4—24no—
499C22×C4—22no—
500C22×C4—22no—
501C22×C4—42no—
502C22×C4—42no—
503C22×C4—42no—
504C22×C4—474no—
505C22×C4—472no—
506C22×C4—478no—
507C22×C4—474no—
508C22×C4—474no—
509C22×C4—9416no—
510C22×C4—9464no—
511C22×C4—9416no—
512C22×C4—9416no—
513C22×C4—944no—
514C22×C4—942no—
515C22×C4—944no—
516C22×C4—942no—
517C22×C4—944no—
518C22×C4—942no—
519C22×C4—948no—
520C22×C4—948no—
521C22×C4—948no—
522C22×C4—944no—
523C22×C4—948no—
524C22×C4—944no—
525C22×C4—942no—
526C22×C4—942no—
527C22×C4—942no—
528C22×C4—942no—
529C22×C4—942no—
530C22×C4—1882no—
531C22×C4—1882no—
532C22×C4—1882no—
533C22×C4C2×C4×D4712yes—
534C22×C4C2×D18812yes—
535C22×C4D4×D4711yescharacteristic
536C22×C4D4×D4712yes—
537C22×C4D4×D4712yes—
538C22×C4D4×D4712yes—
539C22×C4C2×C22⋊D4712yes—
540C22×C4C23×D4711yescharacteristic
541C2×C8—22no—
542C2×C8—22no—
543C2×C8—22no—
544C2×C8—44no—
545C2×C8—942no—
546C2×C8—942no—
547C2×C8—942no—
548C2×C8—1884no—
549C4⋊C4—22no—
550C4⋊C4—22no—
551C4⋊C4—42no—
552C4⋊C4—942no—
553C4⋊C4—942no—
554C4⋊C4—1882no—
555C22⋊C4—1888no—
556C23—474no—
557C23—4716no—
558C23—474no—
559C23—474no—
560C23—948no—
561C23—948no—
562C23—948no—
563C23—948no—
564C23—948no—
565C23—942no—
566C23—942no—
567C23—948no—
568C23—942no—
569C23—942no—
570C23C22⋊C4×D4712yes—
571C23#1309399212yes—
572C23#1309399412yes—
573C23SD16×D4712yes—
574C23Q16×D4712yes—
575C23#1309405312yes—
576C23#1309405612yes—
577C23C2×D4×D4711yescharacteristic
578Q8—216no—
579Q8—24no—
580Q8—24no—
581Q8—24no—
582Q8—478no—
583Q8—9464no—
584Q8—9416no—
585Q8—944no—
586Q8—944no—
587Q8—944no—
588Q8C2×(C2×D47)⋊C418yescomplemented
589C2×C4—216no—
590C2×C4—24no—
591C2×C4—24no—
592C2×C4—24no—
593C2×C4—42no—
594C2×C4—42no—
595C2×C4—42no—
596C2×C4—84no—
597C2×C4—474no—
598C2×C4—9464no—
599C2×C4—948no—
600C2×C4—9416no—
601C2×C4—944no—
602C2×C4—942no—
603C2×C4—944no—
604C2×C4—942no—
605C2×C4—944no—
606C2×C4—9416no—
607C2×C4—944no—
608C2×C4—944no—
609C2×C4—944no—
610C2×C4—944no—
611C2×C4—3764no—
612C2×C4—1882no—
613C2×C4—1882no—
614C2×C4—1882no—
615C2×C4C22⋊C4×D4712yes—
616C2×C4C22⋊C4×D4714yes—
617C2×C4C2×(C2×D47)⋊C414yes—
618C2×C4#1309399212yes—
619C2×C4#1309399214yes—
620C2×C4#1309399412yes—
621C2×C4#1309399414yes—
622C2×C4C22×C4×D4711yescharacteristic
623C2×C4C2×D4×D4711yescharacteristic
624C2×C4C2×D4×D4711yescharacteristic
625C2×C4C2×D4×D4711yescharacteristic
626C2×C4C22×C22⋊D4711yescharacteristic
627C2×C4C22×D18811yescharacteristic
628C8—42no—
629C8—1882no—
630C22—478no—
631C22—9432no—
632C22—944no—
633C22—944no—
634C22—944no—
635C22—944no—
636C22—944no—
637C22—944no—
638C22#1568897814yes—
639C22#103×D4714yes—
640C22#1568913014yes—
641C22#1568926014yes—
642C22#1568926314yes—
643C22#1568927714yes—
644C22#1568928014yes—
645C22C2×C22⋊C4×D4711yescharacteristic
646C22C2×#1309399211yescharacteristic
647C22C2×#1309399411yescharacteristic
648C22C2×SD16×D4711yescharacteristic
649C22C2×Q16×D4711yescharacteristic
650C22C2×#1309405311yescharacteristic
651C22C2×#1309405611yescharacteristic
652C4—28no—
653C4—82no—
654C4—944no—
655C4—948no—
656C4—3762no—
657C4#1568897814yes—
658C4C2×C22⋊C4×D4711yescharacteristic
659C4C22×(C2×D47)⋊C411yescharacteristic
660C4C2×#1309399211yescharacteristic
661C4C2×#1309399411yescharacteristic
662C2—948no—
663C2#2024332118yesdirect product factor
664C2C2×#1568897811yescharacteristic
665C2C2×#103×D4711yescharacteristic
666C2C2×#1568913011yescharacteristic
667C2C2×#1568926011yescharacteristic
668C2C2×#1568926311yescharacteristic
669C2C2×#1568927711yescharacteristic
670C2C2×#1568928011yescharacteristic
subgroupG/H
centerC24D4×D47
commutatorC2×C4×C47C23×C4
FrattiniC22×C4C23×D47
FittingC22×#103×C47C2
socleC24×C47C2×D4
prime radicalC24×D47D4
cosocleC22×C4×C47C24
hypercenterC22×#103D47
hypocenterC47C2×#1787
LCSG ▷ C2×C4×C47 ▷ C2×C47 ▷ C47
UCSC1 ◁ C24 ◁ C23×C4 ◁ C22×#103

Complements

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

NH ≅ G/Ntype
2. C22×#13093949C2semidirect
3. C22×#13093948C2semidirect
4. C22×#13093947C2semidirect
7. #20243321C2direct (N × H)
8. C22×#103×C47C2semidirect
17. C22×Q8×D47C4semidirect
25. C2×#13093949C22semidirect
27. C2×#13093948C22semidirect
29. C2×#13093947C22semidirect
39. C2×#103×C47C22semidirect
65. C2×Q8×D47C2×C4semidirect
134. C2×Q8×C47C22⋊C4semidirect
201. C2×Dic94C22⋊C4semidirect
238. C22×D47#103semidirect
246. Q8×C47C2×C22⋊C4semidirect
291. Dic94C2×C22⋊C4semidirect
316. C2×D47C2×#103semidirect
331. C22×#103D47semidirect
335. C2×C47#1787semidirect
369. C2×#103C2×D47semidirect
375. C47C2×#1787semidirect
492. C2×Q8(C2×D47)⋊C4semidirect
588. Q8C2×(C2×D47)⋊C4semidirect
663. C2#20243321direct (N × H)

Maximal subgroups

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

subgroupindex
C23×Q8×D472
C22×#130939492
C22×#130939482
C22×#130939472
C22×(C2×D47)⋊C82
C2×#156889802
#202433212
C22×#103×C472
C2×#178747