Finite Group Databasebeta

← C2×#20251674 #26422114

Subgroups — C2×#20251674 #26422114

Order 12032.

7502 conjugacy classes of subgroups.

The subgroup lattice has 644 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C24×C4×D47C211yesmaximal, characteristic
2C22×#13094002C212yesmaximal, complemented
3C22×#13094001C211yesmaximal, characteristic, complemented
4#20251674C2116yesmaximal, direct product factor
5C2×#15688997C212yesmaximal, complemented
6C2×#15688996C211yesmaximal, characteristic, complemented
7C2×#15688994C212yesmaximal, complemented
8C2×#15688982C212yesmaximal, complemented
9C2×#15688981C211yesmaximal, characteristic, complemented
10C2×#15688978C211yesmaximal, characteristic
11C2×#15688978C211yesmaximal, characteristic
12C2×C47×#385C211yesmaximal, characteristic, complemented
13C25×D47C2211yescharacteristic
14C23×Dic94C2211yescharacteristic, complemented
15C24×Dic47C2211yescharacteristic
16C23×C4×D47—28no—
17C23×C4×D47—216no—
18C23×C4×D47C2218yes—
19C23×C4×D47C2212yes—
20C23×C4×D47C2212yes—
21C2×#13094002—216no—
22C2×#13094002C22116yescomplemented
23C2×#13094001—28no—
24C2×#13094001C2218yescomplemented
25C22×C4⋊Dic47C2211yescharacteristic, complemented
26C22×Dic47⋊C4C2211yescharacteristic, complemented
27C22×Dic47⋊C4C2212yescomplemented
28C22×Dic47⋊C4C2211yescharacteristic, complemented
29C22×Dic47⋊C4C2212yescomplemented
30C22×C22⋊Dic47C2211yescharacteristic
31C22×C22⋊Dic47C2211yescharacteristic
32C22×(C2×D47)⋊C4C2212yes—
33C22×(C2×D47)⋊C4C2212yes—
34C22×(C2×D47)⋊C4C2212yes—
35C22×(C2×D47)⋊C4C2212yes—
36#15688997C22116yescomplemented
37#15688996C2218yescomplemented
38#15688994C22116yescomplemented
39#15688982C22116yescomplemented
40#15688981C2218yescomplemented
41#15688978C2218yes—
42#15688978C2218yes—
43C2×C47⋊#95C2212yescomplemented
44C2×C47⋊#95C2212yescomplemented
45C24×C4×C47C2211yescharacteristic
46C22×C4⋊C4×C47C2212yescomplemented
47C22×C22⋊C4×C47C2211yescharacteristic
48C22×C22⋊C4×C47C2211yescharacteristic
49C47×#385C2218yescomplemented
50C2×#95×C47C2212yescomplemented
51C24×D47—24no—
52C24×D47—24no—
53C24×D47—28no—
54C24×D47—28no—
55C24×D47Q818yescomplemented
56C24×D47C2314yes—
57C24×D47C2312yes—
58C22×Dic94—24no—
59C22×Dic94—28no—
60C22×Dic94C2314yescomplemented
61C23×Dic47—28no—
62C23×Dic47D418yes—
63C23×Dic47C2312yes—
64C23×Dic47C2311yescharacteristic
65C23×Dic47C2311yescharacteristic
66C23×Dic47C2311yescharacteristic
67C23×Dic47C2314yes—
68C23×Dic47C2311yescharacteristic
69C22×C4×D47—2128no—
70C22×C4×D47—28no—
71C22×C4×D47—28no—
72C22×C4×D47—28no—
73C22×C4×D47—232no—
74C22×C4×D47—28no—
75C22×C4×D47—28no—
76C22×C4×D47—264no—
77C22×C4×D47D4116yes—
78C22×C4×D47C2318yes—
79C22×C4×D47C2318yes—
80#13094002—264no—
81#13094001—232no—
82C2×C4⋊Dic47—24no—
83C2×C4⋊Dic47C2314yescomplemented
84C2×Dic47⋊C4—28no—
85C2×Dic47⋊C4—24no—
86C2×Dic47⋊C4—24no—
87C2×Dic47⋊C4—28no—
88C2×Dic47⋊C4C2318yescomplemented
89C2×Dic47⋊C4C2314yescomplemented
90C2×Dic47⋊C4C2314yescomplemented
91C2×Dic47⋊C4C2318yescomplemented
92C2×C22⋊Dic47—24no—
93C2×C22⋊Dic47—24no—
94C2×C22⋊Dic47C2314yes—
95C2×C22⋊Dic47C2314yes—
96C2×(C2×D47)⋊C4—28no—
97C2×(C2×D47)⋊C4—28no—
98C2×(C2×D47)⋊C4—28no—
99C2×(C2×D47)⋊C4—28no—
100C2×(C2×D47)⋊C4C2318yes—
101C2×(C2×D47)⋊C4C2318yes—
102C2×(C2×D47)⋊C4C2318yes—
103C2×(C2×D47)⋊C4C2318yes—
104C47⋊#95C2318yescomplemented
105C47⋊#95C2318yescomplemented
106C25×C47C2311yescharacteristic
107C23×C4×C47—24no—
108C23×C4×C47—28no—
109C23×C4×C47C2312yes—
110C23×C4×C47C2314yes—
111C23×C4×C47C2311yescharacteristic
112C23×C4×C47C2311yescharacteristic
113C23×C4×C47C2312yes—
114C2×C4⋊C4×C47—28no—
115C2×C4⋊C4×C47C2318yescomplemented
116C2×C22⋊C4×C47—24no—
117C2×C22⋊C4×C47—24no—
118C2×C22⋊C4×C47C2314yes—
119C2×C22⋊C4×C47C2314yes—
120#95×C47C2318yescomplemented
121C24×C47—24no—
122C24×C47—24no—
123C24×C47C2×D414yes—
124C24×C47C2×Q814yes—
125C24×C47#4114yes—
126C24×C47C2412yes—
127C24×C47C2411yescharacteristic
128C23×D47—232no—
129C23×D47—264no—
130C23×D47—232no—
131C23×D47—232no—
132C23×D47—28no—
133C23×D47—24no—
134C23×D47—24no—
135C23×D47—28no—
136C23×D47—24no—
137C23×D47—24no—
138C23×D47—264no—
139C23×D47—216no—
140C23×D47—216no—
141C23×D47C2×D418yes—
142C23×D47C2×Q818yes—
143C23×D47C2×Q8116yescomplemented
144C23×D47#4118yes—
145C23×D47C2414yes—
146C22×C4×C47—232no—
147C22×C4×C47—28no—
148C22×C4×C47—24no—
149C22×C4×C47—24no—
150C22×C4×C47—216no—
151C22×C4×C47—22no—
152C22×C4×C47—22no—
153C22×C4×C47—24no—
154C22×C4×C47—24no—
155C22×C4×C47—24no—
156C22×C4×C47—24no—
157C22×C4×C47—24no—
158C22×C4×C47C2×D418yes—
159C22×C4×C47C2412yes—
160C22×C4×C47C2414yes—
161C22×C4×C47C2412yes—
162C22×C4×C47C2414yes—
163C22×Dic47—24no—
164C22×Dic47—232no—
165C22×Dic47—216no—
166C22×Dic47—24no—
167C22×Dic47—24no—
168C22×Dic47—22no—
169C22×Dic47—22no—
170C22×Dic47—24no—
171C22×Dic47—24no—
172C22×Dic47—24no—
173C22×Dic47C2×D414yes—
174C22×Dic47C2×D4116yes—
175C22×Dic47C2×D414yes—
176C22×Dic47C2×D418yes—
177C22×Dic47C2414yes—
178C22×Dic47C2412yes—
179C22×Dic47C2412yes—
180C22×Dic47C2412yes—
181C22×Dic47C2412yes—
182C2×C4×D47—264no—
183C2×C4×D47—2256no—
184C2×C4×D47—216no—
185C2×C4×D47—216no—
186C2×C4×D47—264no—
187C2×C4×D47—216no—
188C2×C4×D47—216no—
189C2×C4×D47—216no—
190C2×C4×D47C2×D4132yes—
191C2×Dic94—28no—
192C2×Dic94—216no—
193C2×Dic94—416no—
194C4⋊C4×C47—216no—
195C22⋊C4×C47—28no—
196C22⋊C4×C47—28no—
197C22⋊Dic47—28no—
198C22⋊Dic47—28no—
199(C2×D47)⋊C4—216no—
200(C2×D47)⋊C4—216no—
201(C2×D47)⋊C4—216no—
202(C2×D47)⋊C4—216no—
203C4⋊Dic47—28no—
204Dic47⋊C4—216no—
205Dic47⋊C4—28no—
206Dic47⋊C4—28no—
207Dic47⋊C4—216no—
208C23×C47—28no—
209C23×C47—216no—
210C23×C47—28no—
211C23×C47—216no—
212C23×C47—24no—
213C23×C47—24no—
214C23×C47C22⋊Q8116yescomplemented
215C23×C47C22×D414yes—
216C23×C47C22×D414yes—
217C23×C47C22×D412yes—
218C23×C47C22×Q814yes—
219C23×C47C22×Q812yes—
220C23×C47C2×#4114yes—
221C23×C47C2×#4114yes—
222C23×C47C2×#4112yes—
223C23×C47C2511yescharacteristic
224C22×D47—232no—
225C22×D47—2256no—
226C22×D47—264no—
227C22×D47—232no—
228C22×D47—216no—
229C22×D47—216no—
230C22×D47—216no—
231C22×D47—232no—
232C22×D47—216no—
233C22×D47—216no—
234C22×D47—216no—
235C22×D47—24no—
236C22×D47—24no—
237C22×D47—24no—
238C22×D47—24no—
239C22×D47—264no—
240C22×D47C22⋊Q8132yescomplemented
241C22×D47C22×D418yes—
242C22×D47C22×Q818yes—
243C22×D47C2×#4118yes—
244C2×C4×C47—232no—
245C2×C4×C47—216no—
246C2×C4×C47—24no—
247C2×C4×C47—24no—
248C2×C4×C47—22no—
249C2×C4×C47—24no—
250C2×C4×C47—22no—
251C2×C4×C47—24no—
252C2×C4×C47—24no—
253C2×C4×C47—24no—
254C2×C4×C47—24no—
255C2×C4×C47—44no—
256C2×C4×C47—44no—
257C2×C4×C47—48no—
258C2×C4×C47C22×D418yes—
259C2×Dic47—28no—
260C2×Dic47—24no—
261C2×Dic47—232no—
262C2×Dic47—24no—
263C2×Dic47—22no—
264C2×Dic47—24no—
265C2×Dic47—22no—
266C2×Dic47—24no—
267C2×Dic47—24no—
268C2×Dic47—24no—
269C2×Dic47—44no—
270C2×Dic47—44no—
271C2×Dic47—48no—
272C2×Dic47#120116yes—
273C2×Dic47C22×D414yes—
274C2×Dic47C22×D414yes—
275C2×Dic47C22×D418yes—
276C4×D47—264no—
277C4×D47—264no—
278Dic94—416no—
279C2×#2848—471nomaximal, Sylow
280C22×C47—232no—
281C22×C47—24no—
282C22×C47—28no—
283C22×C47—24no—
284C22×C47—28no—
285C22×C47C2×#12014yes—
286C22×C47C2×C22⋊Q818yes—
287C22×C47C2×C22⋊Q814yes—
288C22×C47C2×C22⋊Q818yescomplemented
289C22×C47#52514yes—
290C22×C47#52518yes—
291C22×C47C23×D412yes—
292C22×C47C23×D411yescharacteristic
293C22×C47C23×Q811yescharacteristic
294C22×C47C22×#4112yes—
295C22×C47C22×#4111yescharacteristic
296C2×D47—2128no—
297C2×D47—264no—
298C2×D47—28no—
299C2×D47—28no—
300C2×D47—28no—
301C2×D47—28no—
302C2×D47—28no—
303C2×D47—28no—
304C2×D47C2×C22⋊Q8116yescomplemented
305C4×C47—28no—
306C4×C47—42no—
307C4×C47—42no—
308C4×C47—44no—
309Dic47—24no—
310Dic47—42no—
311Dic47—42no—
312Dic47—44no—
313Dic47C2×#12018yes—
314C25×C4—471no—
315C22×C22⋊Q8—472no—
316C22×C22⋊Q8—471no—
317#2848—4716no—
318C2×#385—472no—
319C2×#385—471no—
320C2×#385—472no—
321C2×#385D4711yescharacteristic, complemented
322C2×#380—472no—
323C2×#380—471no—
324C2×#379—471no—
325C2×#379—471no—
326C2×C47—28no—
327C2×C47#284818yescomplemented
328C2×C47C22×#12011yescharacteristic
329C2×C47C22×C22⋊Q812yes—
330C2×C47C22×C22⋊Q811yescharacteristic
331C2×C47C2×#52511yescharacteristic
332C2×C47C2×#52512yes—
333D47—216no—
334C26—471no—
335C23×Q8—471no—
336C24×C4—471no—
337C24×C4—472no—
338C24×C4—478no—
339C24×C4—472no—
340C24×C4—948no—
341C24×C4—9416no—
342C24×C4C2×D4711yescharacteristic
343C2×C22⋊Q8—4716no—
344C2×C22⋊Q8—478no—
345C2×C22⋊Q8—948no—
346C2×C22⋊Q8—9416no—
347C22×C4⋊C4—471no—
348C22×C4⋊C4—472no—
349C22×C4⋊C4—471no—
350C22×C4⋊C4—472no—
351C22×C4⋊C4—471no—
352C22×C4⋊C4C2×D4712yescomplemented
353C22×C22⋊C4—471no—
354C22×C22⋊C4—471no—
355C22×C22⋊C4—472no—
356C22×C22⋊C4—472no—
357C22×C22⋊C4—472no—
358C22×C22⋊C4—472no—
359C22×C22⋊C4C2×D4711yescharacteristic
360C22×C22⋊C4C2×D4711yescharacteristic
361#385—478no—
362#385—4716no—
363#385—4716no—
364#385C2×D4718yescomplemented
365#380—478no—
366#380—4716no—
367#379—478no—
368#379—478no—
369C2×#95—472no—
370C2×#95—472no—
371C2×#95C2×D4712yescomplemented
372C47C2×#284811yescharacteristic, complemented, Sylow
373C25—472no—
374C25—478no—
375C25—474no—
376C25—948no—
377C25—948no—
378C25—944no—
379C25—944no—
380C25C22×D4711yescharacteristic
381C22×Q8—474no—
382C22×Q8—944no—
383C22×Q8—948no—
384C23×C4—24no—
385C23×C4—28no—
386C23×C4—471no—
387C23×C4—478no—
388C23×C4—474no—
389C23×C4—471no—
390C23×C4—4716no—
391C23×C4—478no—
392C23×C4—471no—
393C23×C4—471no—
394C23×C4—472no—
395C23×C4—478no—
396C23×C4—948no—
397C23×C4—948no—
398C23×C4—948no—
399C23×C4—9432no—
400C23×C4—9464no—
401C23×C4—948no—
402C23×C4—94128no—
403C23×C4—948no—
404C23×C4—948no—
405C23×C4C22×D4714yes—
406C23×C4C22×D4711yescharacteristic
407C23×C4C22×D4711yescharacteristic
408C23×C4C22×D4712yes—
409C23×C4C22×D4712yes—
410C22⋊Q8—9432no—
411C22⋊Q8—9464no—
412C2×C4⋊C4—28no—
413C2×C4⋊C4—478no—
414C2×C4⋊C4—474no—
415C2×C4⋊C4—474no—
416C2×C4⋊C4—478no—
417C2×C4⋊C4—474no—
418C2×C4⋊C4—944no—
419C2×C4⋊C4—944no—
420C2×C4⋊C4—948no—
421C2×C4⋊C4—944no—
422C2×C4⋊C4—948no—
423C2×C4⋊C4C22×D4718yescomplemented
424C2×C22⋊C4—24no—
425C2×C22⋊C4—24no—
426C2×C22⋊C4—474no—
427C2×C22⋊C4—474no—
428C2×C22⋊C4—478no—
429C2×C22⋊C4—478no—
430C2×C22⋊C4—478no—
431C2×C22⋊C4—478no—
432C2×C22⋊C4—948no—
433C2×C22⋊C4—948no—
434C2×C22⋊C4—948no—
435C2×C22⋊C4—948no—
436C2×C22⋊C4—944no—
437C2×C22⋊C4—944no—
438C2×C22⋊C4C22×D4714yes—
439C2×C22⋊C4C22×D4714yes—
440#95—478no—
441#95—478no—
442#95C22×D4718yescomplemented
443C24—24no—
444C24—24no—
445C24—478no—
446C24—478no—
447C24—478no—
448C24—474no—
449C24—4716no—
450C24—9416no—
451C24—9464no—
452C24—9416no—
453C24—9432no—
454C24—9432no—
455C24—9464no—
456C24—9432no—
457C24—948no—
458C24—944no—
459C24—944no—
460C24—944no—
461C24—948no—
462C24—944no—
463C24#1062535014yes—
464C24D4×D4714yes—
465C24Q8×D4714yes—
466C24C23×D4712yes—
467C24C23×D4711yescharacteristic
468C2×Q8—948no—
469C2×Q8—9416no—
470C2×Q8—18816no—
471C22×C4—232no—
472C22×C4—28no—
473C22×C4—24no—
474C22×C4—24no—
475C22×C4—216no—
476C22×C4—22no—
477C22×C4—22no—
478C22×C4—24no—
479C22×C4—24no—
480C22×C4—24no—
481C22×C4—24no—
482C22×C4—24no—
483C22×C4—478no—
484C22×C4—474no—
485C22×C4—472no—
486C22×C4—474no—
487C22×C4—4716no—
488C22×C4—472no—
489C22×C4—4732no—
490C22×C4—472no—
491C22×C4—474no—
492C22×C4—472no—
493C22×C4—9464no—
494C22×C4—9416no—
495C22×C4—9416no—
496C22×C4—9416no—
497C22×C4—9416no—
498C22×C4—94256no—
499C22×C4—9464no—
500C22×C4—9432no—
501C22×C4—9416no—
502C22×C4—944no—
503C22×C4—9416no—
504C22×C4—942no—
505C22×C4—944no—
506C22×C4—944no—
507C22×C4—942no—
508C22×C4—944no—
509C22×C4—944no—
510C22×C4—944no—
511C22×C4D4×D4718yes—
512C22×C4C23×D4714yes—
513C22×C4C23×D4712yes—
514C22×C4C23×D4712yes—
515C22×C4C23×D4714yes—
516C4⋊C4—216no—
517C4⋊C4—948no—
518C4⋊C4—948no—
519C4⋊C4—9416no—
520C4⋊C4—948no—
521C4⋊C4—9416no—
522C22⋊C4—28no—
523C22⋊C4—28no—
524C22⋊C4—9416no—
525C22⋊C4—9416no—
526C22⋊C4—9416no—
527C22⋊C4—9416no—
528C22⋊C4—948no—
529C22⋊C4—948no—
530C23—28no—
531C23—216no—
532C23—28no—
533C23—216no—
534C23—24no—
535C23—24no—
536C23—4732no—
537C23—478no—
538C23—478no—
539C23—478no—
540C23—9464no—
541C23—9432no—
542C23—94256no—
543C23—9432no—
544C23—9464no—
545C23—9416no—
546C23—9416no—
547C23—9416no—
548C23—9432no—
549C23—9416no—
550C23—9416no—
551C23—9416no—
552C23—944no—
553C23—944no—
554C23—944no—
555C23—944no—
556C23#13094002116yescomplemented
557C23C2×D4×D4714yes—
558C23C2×D4×D4714yes—
559C23C2×D4×D4712yes—
560C23C2×Q8×D4714yes—
561C23C2×Q8×D4712yes—
562C23#41×D4714yes—
563C23C2×#1062535014yes—
564C23C2×#1062535012yes—
565C23C24×D4711yescharacteristic
566Q8—18816no—
567C2×C4—232no—
568C2×C4—216no—
569C2×C4—24no—
570C2×C4—24no—
571C2×C4—22no—
572C2×C4—22no—
573C2×C4—24no—
574C2×C4—24no—
575C2×C4—24no—
576C2×C4—24no—
577C2×C4—24no—
578C2×C4—44no—
579C2×C4—44no—
580C2×C4—48no—
581C2×C4—4716no—
582C2×C4—478no—
583C2×C4—474no—
584C2×C4—474no—
585C2×C4—9464no—
586C2×C4—9464no—
587C2×C4—9432no—
588C2×C4—948no—
589C2×C4—944no—
590C2×C4—942no—
591C2×C4—944no—
592C2×C4—944no—
593C2×C4—942no—
594C2×C4—944no—
595C2×C4—944no—
596C2×C4—944no—
597C2×C4—1884no—
598C2×C4—1884no—
599C2×C4—1888no—
600C2×C4C2×D4×D4718yes—
601C22—232no—
602C22—24no—
603C22—28no—
604C22—24no—
605C22—28no—
606C22—4716no—
607C22—94128no—
608C22—9464no—
609C22—948no—
610C22—948no—
611C22—948no—
612C22—948no—
613C22—948no—
614C22—948no—
615C22#120×D4714yes—
616C22C22⋊Q8×D4718yes—
617C22C2×#1309400214yes—
618C22C2×#1309400218yescomplemented
619C22#1568963114yes—
620C22#1568963218yes—
621C22C22×D4×D4712yes—
622C22C22×D4×D4711yescharacteristic
623C22C22×Q8×D4711yescharacteristic
624C22C2×#41×D4712yes—
625C22C22×#1062535011yescharacteristic
626C4—28no—
627C4—42no—
628C4—42no—
629C4—44no—
630C4—478no—
631C4—944no—
632C4—1882no—
633C4—1882no—
634C4—1884no—
635C2—28no—
636C2—9416no—
637C2#2025167418yesdirect product factor
638C2C2×#120×D4711yescharacteristic
639C2C2×C22⋊Q8×D4712yes—
640C2C22×#1309400211yescharacteristic
641C2C2×#1568963111yescharacteristic
642C2C2×#1568963212yes—
subgroupG/H
centerC24C23×D47
commutator, cosocleC23×C47C25
FrattiniC23C24×D47
FittingC2×C47×#385C2
socleC24×C47C24
prime radicalC25×D47C22
hypercenterC2×#385D47
hypocenterC47C2×#2848
LCSG ▷ C23×C47 ▷ C47
UCSC1 ◁ C24 ◁ C2×#385

Complements

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

NH ≅ G/Ntype
2. C22×#13094002C2semidirect
3. C22×#13094001C2semidirect
4. #20251674C2direct (N × H)
5. C2×#15688997C2semidirect
6. C2×#15688996C2semidirect
7. C2×#15688994C2semidirect
8. C2×#15688982C2semidirect
9. C2×#15688981C2semidirect
12. C2×C47×#385C2semidirect
14. C23×Dic94C22semidirect
22. C2×#13094002C22semidirect
24. C2×#13094001C22semidirect
25. C22×C4⋊Dic47C22semidirect
26. C22×Dic47⋊C4C22semidirect
27. C22×Dic47⋊C4C22semidirect
28. C22×Dic47⋊C4C22semidirect
29. C22×Dic47⋊C4C22semidirect
36. #15688997C22semidirect
37. #15688996C22semidirect
38. #15688994C22semidirect
39. #15688982C22semidirect
40. #15688981C22semidirect
43. C2×C47⋊#95C22semidirect
44. C2×C47⋊#95C22semidirect
46. C22×C4⋊C4×C47C22semidirect
49. C47×#385C22semidirect
50. C2×#95×C47C22semidirect
55. C24×D47Q8semidirect
60. C22×Dic94C23semidirect
83. C2×C4⋊Dic47C23semidirect
88. C2×Dic47⋊C4C23semidirect
89. C2×Dic47⋊C4C23semidirect
90. C2×Dic47⋊C4C23semidirect
91. C2×Dic47⋊C4C23semidirect
104. C47⋊#95C23semidirect
105. C47⋊#95C23semidirect
115. C2×C4⋊C4×C47C23semidirect
120. #95×C47C23semidirect
143. C23×D47C2×Q8semidirect
214. C23×C47C22⋊Q8semidirect
240. C22×D47C22⋊Q8semidirect
288. C22×C47C2×C22⋊Q8semidirect
304. C2×D47C2×C22⋊Q8semidirect
321. C2×#385D47semidirect
327. C2×C47#2848semidirect
352. C22×C4⋊C4C2×D47semidirect
364. #385C2×D47semidirect
371. C2×#95C2×D47semidirect
372. C47C2×#2848semidirect
423. C2×C4⋊C4C22×D47semidirect
442. #95C22×D47semidirect
556. C23#13094002semidirect
618. C22C2×#13094002semidirect
637. C2#20251674direct (N × H)

Maximal subgroups

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

subgroupindex
C24×C4×D472
C22×#130940022
C22×#130940012
#202516742
C2×#156889972
C2×#156889962
C2×#156889942
C2×#156889822
C2×#156889812
C2×#156889782
C2×C47×#3852
C2×#284847