Finite Group Databasebeta

← C2×#20243828 #26218028

Subgroups — C2×#20243828 #26218028

Order 12032.

2514 conjugacy classes of subgroups.

The subgroup lattice has 676 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#15689630C211yesmaximal, characteristic
2C22×C42×D47C211yesmaximal, characteristic, complemented
3C22×#13093951C211yesmaximal, characteristic, complemented
4C2×#15689086C211yesmaximal, characteristic, complemented
5#20243828C218yesmaximal, direct product factor
6C2×#15688884C211yesmaximal, characteristic, complemented
7C2×#15688883C211yesmaximal, characteristic, complemented
8C22×#104×C47C211yesmaximal, characteristic, complemented
9C23×C4×D47—21no—
10C23×C4×D47C2211yescharacteristic
11C22×#10625329C2211yescharacteristic
12#15689630—22no—
13#15689630—22no—
14#15689630C414yescomplemented
15#15689630C2214yes—
16C2×#13094005—21no—
17C2×#13094000C412yescomplemented
18C2×#13093995C412yescomplemented
19C2×#13093992—21no—
20C2×C4×C22⋊D47—22no—
21C2×#13093983C2211yescharacteristic
22C22×C4×Dic47—21no—
23C22×C4×Dic47C2211yescharacteristic
24C2×C42×D47—22no—
25C2×C42×D47—24no—
26C2×C42×D47—24no—
27C2×C42×D47C2214yescomplemented
28C2×#13093951—24no—
29C2×#13093951C2214yescomplemented
30#15689086—22no—
31#15689086C2214yescomplemented
32C2×(C2×D47)⋊C8—22no—
33#15688884C2214yescomplemented
34#15688883C2214yescomplemented
35C22×#41×C47C2211yescharacteristic
36C22×M16×C47C2211yescharacteristic
37C22×C42×C47C2211yescharacteristic
38C2×#104×C47—24no—
39C2×#104×C47C2214yescomplemented
40C24×D47D411yescharacteristic
41C22×C22⋊D47—22no—
42C23×Dic47—21no—
43C23×Dic47D411yescharacteristic
44C22×C4×D47—28no—
45C22×C4×D47—216no—
46C22×C4×D47—24no—
47C22×C4×D47—22no—
48C22×C4×D47—22no—
49C22×C4×D47—22no—
50C22×C4×D47—22no—
51C22×C4×D47C2×C412yes—
52C22×C4×D47C2×C412yes—
53C22×C4×D47D412yes—
54C22×C4×D47D412yes—
55C22×C4×D47D412yes—
56C22×C4×D47C2312yes—
57C2×#10625329—21no—
58C2×#10625329—22no—
59C2×#10625329—22no—
60C2×#10625329C2312yes—
61C22×C47⋊C8—21no—
62#13094005—24no—
63#13094005—24no—
64#13094000—24no—
65#13094000C2×C418yescomplemented
66#13093995—24no—
67#13093995C2×C418yescomplemented
68#13093992—24no—
69#13093992—24no—
70C4×C22⋊D47—28no—
71C4×C22⋊D47—28no—
72#13093983—21no—
73#13093983—21no—
74#13093983C2×C412yescomplemented
75#13093983C2312yes—
76C2×C4⋊Dic47C2×C412yescomplemented
77C2×Dic47⋊C4—22no—
78C2×C22⋊Dic47—21no—
79C2×C22⋊Dic47—22no—
80C2×(C2×D47)⋊C4—22no—
81C2×C4×Dic47—28no—
82C2×C4×Dic47—21no—
83C2×C4×Dic47—22no—
84C2×C4×Dic47—21no—
85C2×C4×Dic47—24no—
86C2×C4×Dic47D414yescomplemented
87C2×C4×Dic47C2312yes—
88C42×D47—216no—
89C42×D47—28no—
90C42×D47—28no—
91#13093951—28no—
92(C2×D47)⋊C8—28no—
93C2×#41×C47—21no—
94C2×#41×C47—21no—
95C2×#41×C47—22no—
96C2×#41×C47—22no—
97C2×#41×C47—22no—
98C2×#41×C47—22no—
99C2×#41×C47C2×C412yescomplemented
100C2×#41×C47C2312yes—
101C22×Q8×C47C2×C411yescharacteristic, complemented
102C22×D4×C47—21no—
103C22×D4×C47C2×C411yescharacteristic, complemented
104C23×C4×C47—21no—
105C23×C4×C47—21no—
106C23×C4×C47C2311yescharacteristic
107C2×M16×C47—21no—
108C2×M16×C47—22no—
109C2×M16×C47—22no—
110C2×M16×C47C2312yes—
111C22×C8×C47—21no—
112C2×C42×C47—21no—
113C2×C42×C47—22no—
114C2×C42×C47D414yescomplemented
115C2×C42×C47C2312yes—
116#104×C47—28no—
117C24×C47—21no—
118C24×C47C2×D411yescharacteristic
119C23×D47—22no—
120C23×D47—22no—
121C23×D47—28no—
122C23×D47C22⋊C412yes—
123C23×D47C22⋊C412yes—
124C23×D47C2×D412yes—
125#41×C47—24no—
126#41×C47—24no—
127#41×C47—22no—
128#41×C47—22no—
129#41×C47—22no—
130#41×C47—22no—
131#41×C47—42no—
132#41×C47—42no—
133#41×C47—42no—
134#41×C47—42no—
135C2×Q8×C47—21no—
136C2×Q8×C47—22no—
137C2×Q8×C47—22no—
138C2×Q8×C47C22×C412yescomplemented
139C2×D4×C47—22no—
140C2×D4×C47—22no—
141C2×D4×C47—21no—
142C2×D4×C47—22no—
143C2×D4×C47—22no—
144C2×D4×C47—42no—
145C2×D4×C47—42no—
146C2×D4×C47C22×C412yescomplemented
147C22×C4×C47—28no—
148C22×C4×C47—24no—
149C22×C4×C47—22no—
150C22×C4×C47—21no—
151C22×C4×C47—22no—
152C22×C4×C47—22no—
153C22×C4×C47—42no—
154C22×C4×C47—42no—
155C22×C4×C47C22×C411yescharacteristic
156C22×C4×C47C22×C411yescharacteristic
157C22×C4×C47C2×D411yescharacteristic
158C22×C4×C47C2×D411yescharacteristic
159C22×C4×C47C2×D411yescharacteristic
160C22×C4×C47C2×D412yes—
161C22×C4×C47C2×D412yes—
162C22×C4×C47#4112yes—
163C22×C4×C47#4112yes—
164C22×C4×C47C2411yescharacteristic
165C2×C22⋊D47—28no—
166C2×C22⋊D47—48no—
167C22×Dic47—28no—
168C22×Dic47—22no—
169C22×Dic47—24no—
170C22×Dic47—22no—
171C22×Dic47—22no—
172C22×Dic47—22no—
173C22×Dic47C22⋊C412yes—
174C22×Dic47C22⋊C412yes—
175C22×Dic47C2×D412yes—
176C2×C4×D47—216no—
177C2×C4×D47—264no—
178C2×C4×D47—232no—
179C2×C4×D47—24no—
180C2×C4×D47—24no—
181C2×C4×D47—24no—
182C2×C4×D47—24no—
183C2×C4×D47—24no—
184C2×C4×D47—24no—
185C2×C4×D47—24no—
186C2×C4×D47—24no—
187C2×C4×D47—24no—
188C2×C4×D47—24no—
189C2×C4×D47—22no—
190C2×C4×D47—22no—
191C2×C4×D47—22no—
192C2×C4×D47—22no—
193C2×C4×D47C22⋊C414yes—
194C2×C4×D47C22⋊C414yes—
195C2×C4×D47C22×C414yes—
196C2×C4×D47C2×D414yes—
197M16×C47—22no—
198M16×C47—22no—
199M16×C47—42no—
200C2×C8×C47—22no—
201C2×C8×C47—42no—
202C42×C47—24no—
203C42×C47—22no—
204C42×C47C2×D414yescomplemented
205C22⋊Dic47—22no—
206C22⋊Dic47—22no—
207C22⋊Dic47—28no—
208(C2×D47)⋊C4—28no—
209C4⋊Dic47—22no—
210C4⋊Dic47C22×C414yescomplemented
211Dic47⋊C4—28no—
212C4×Dic47—216no—
213C4×Dic47—22no—
214C4×Dic47—24no—
215C4×Dic47—22no—
216C4×Dic47—22no—
217C4×Dic47C2×D414yescomplemented
218#10625329—22no—
219#10625329—22no—
220#10625329—42no—
221C2×C47⋊C8—22no—
222C2×C47⋊C8—42no—
223C23×C47—24no—
224C23×C47—22no—
225C23×C47—42no—
226C23×C47—44no—
227C23×C47C2×C22⋊C411yescharacteristic
228C23×C47C2×C22⋊C411yescharacteristic
229C23×C47#12012yes—
230C23×C47#12312yes—
231C23×C47C22×D411yescharacteristic
232C22×D47—216no—
233C22×D47—216no—
234C22×D47—22no—
235C22×D47—22no—
236C22×D47—24no—
237C22×D47—24no—
238C22×D47—24no—
239C22×D47—28no—
240C22×D47—28no—
241C22×D47#10418yescomplemented
242C22×D47C2×C22⋊C414yes—
243Q8×C47—22no—
244Q8×C47—22no—
245Q8×C47—42no—
246D4×C47—22no—
247D4×C47—22no—
248D4×C47—42no—
249D4×C47—42no—
250D4×C47—44no—
251D4×C47—42no—
252C2×C4×C47—28no—
253C2×C4×C47—216no—
254C2×C4×C47—24no—
255C2×C4×C47—22no—
256C2×C4×C47—42no—
257C2×C4×C47—42no—
258C2×C4×C47—42no—
259C2×C4×C47—44no—
260C2×C4×C47C2×C22⋊C411yescharacteristic
261C2×C4×C47C2×C22⋊C411yescharacteristic
262C2×C4×C47C4×D412yes—
263C2×C4×C47C4×D412yes—
264C2×C4×C47C4×D412yes—
265C2×C4×C47C4×D412yes—
266C2×C4×C47#12012yes—
267C2×C4×C47#12112yes—
268C2×C4×C47#12112yes—
269C2×C4×C47#12112yes—
270C2×C4×C47#12112yes—
271C2×C4×C47#12312yes—
272C2×C4×C47C23×C411yescharacteristic
273C2×C4×C47C22×D411yescharacteristic
274C2×C4×C47C22×D411yescharacteristic
275C2×C4×C47C22×D411yescharacteristic
276C2×C4×C47C2×#4111yescharacteristic
277C2×C4×C47C2×#4111yescharacteristic
278C22⋊D47—416no—
279C2×Dic47—28no—
280C2×Dic47—216no—
281C2×Dic47—22no—
282C2×Dic47—24no—
283C2×Dic47—22no—
284C2×Dic47—24no—
285C2×Dic47—24no—
286C2×Dic47—24no—
287C2×Dic47—44no—
288C2×Dic47C2×C22⋊C414yes—
289C4×D47—264no—
290C4×D47—24no—
291C4×D47—24no—
292C4×D47—24no—
293C4×D47—24no—
294C4×D47—28no—
295C4×D47—28no—
296C8×C47—42no—
297C47⋊C8—42no—
298C2×#1896—471nomaximal, Sylow
299C22×C47—22no—
300C22×C47—22no—
301C22×C47—24no—
302C22×C47—24no—
303C22×C47—44no—
304C22×C47—42no—
305C22×C47—84no—
306C22×C47#38612yes—
307C22×C47#38612yes—
308C22×C47C2×#10414yes—
309C22×C47C22×C22⋊C411yescharacteristic
310C22×C47C2×#12011yescharacteristic
311C22×C47C2×#12311yescharacteristic
312C2×D47—28no—
313C2×D47—28no—
314C2×D47—216no—
315C2×D47—24no—
316C2×D47—216no—
317C2×D47—24no—
318C2×D47C2×#10418yescomplemented
319C4×C47—28no—
320C4×C47—42no—
321C4×C47#38612yes—
322C4×C47#38612yes—
323C4×C47C2×C4×D411yescharacteristic
324C4×C47C2×C4×D411yescharacteristic
325C4×C47C2×#12111yescharacteristic
326C4×C47C2×#12111yescharacteristic
327Dic47—28no—
328Dic47—24no—
329Dic47—44no—
330C2×#525—471no—
331C23×C42—471no—
332C22×#104—471no—
333C22×#104D4711yescharacteristic, complemented
334C2×#407—471no—
335#1896—478no—
336C2×#339—471no—
337C2×#339—471no—
338C2×C47—21no—
339C2×C47—21no—
340C2×C47—22no—
341C2×C47—82no—
342C2×C47#189614yescomplemented
343C2×C47C2×#38611yescharacteristic
344C2×C47C22×#10412yes—
345D47—28no—
346C22×#41C2×D4711yescharacteristic
347C24×C4—471no—
348C24×C4—941no—
349C22×M16—471no—
350C22×M16C2×D4711yescharacteristic
351#525—474no—
352#525—474no—
353#525—942no—
354#525—942no—
355C2×#123—941no—
356C2×C22⋊Q8—472no—
357C2×#121—472no—
358C2×#120—941no—
359C2×C4×D4—942no—
360C2×#117—471no—
361C22×C42—471no—
362C22×C42—474no—
363C22×C42—944no—
364C22×C42—942no—
365C22×C42—941no—
366C22×C42—944no—
367C22×C42C2×D4711yescharacteristic
368C2×#104—24no—
369C2×#104—474no—
370C2×#104—944no—
371C2×#104C2×D4714yescomplemented
372#407—474no—
373#407—942no—
374C2×C22⋊C8—942no—
375#339—474no—
376#339—474no—
377C47C2×#189611yescharacteristic, complemented, Sylow
378C25—471no—
379C2×#41—21no—
380C2×#41—21no—
381C2×#41—22no—
382C2×#41—22no—
383C2×#41—22no—
384C2×#41—22no—
385C2×#41C4×D4712yescomplemented
386C2×#41C22×D4712yes—
387C22×Q8C4×D4711yescharacteristic, complemented
388C22×D4—21no—
389C22×D4—942no—
390C22×D4C4×D4711yescharacteristic, complemented
391C23×C4—21no—
392C23×C4—21no—
393C23×C4—471no—
394C23×C4—472no—
395C23×C4—472no—
396C23×C4—472no—
397C23×C4—472no—
398C23×C4—472no—
399C23×C4—472no—
400C23×C4—944no—
401C23×C4—9416no—
402C23×C4—948no—
403C23×C4—941no—
404C23×C4—942no—
405C23×C4—942no—
406C23×C4—942no—
407C23×C4—942no—
408C23×C4C22×D4711yescharacteristic
409C2×M16—21no—
410C2×M16—22no—
411C2×M16—22no—
412C2×M16—472no—
413C2×M16—941no—
414C2×M16—942no—
415C2×M16—942no—
416C2×M16C22×D4712yes—
417C22×C8—21no—
418C22×C8—941no—
419#123—944no—
420#123—944no—
421C22⋊Q8—478no—
422C22⋊Q8—944no—
423#121—478no—
424#121—944no—
425#120—944no—
426#120—944no—
427C4×D4—948no—
428C4×D4—948no—
429#117—472no—
430#117—472no—
431#117—941no—
432#117—941no—
433C2×C4⋊C4—472no—
434C2×C4⋊C4—942no—
435C2×C22⋊C4—942no—
436C2×C22⋊C4—942no—
437C2×C22⋊C4—941no—
438C2×C42—21no—
439C2×C42—22no—
440C2×C42—474no—
441C2×C42—472no—
442C2×C42—948no—
443C2×C42—9416no—
444C2×C42—944no—
445C2×C42—948no—
446C2×C42—941no—
447C2×C42—941no—
448C2×C42—942no—
449C2×C42—948no—
450C2×C42C22⋊D4714yescomplemented
451C2×C42C22×D4712yes—
452#104—28no—
453#104—948no—
454C22⋊C8—948no—
455C24—21no—
456C24—472no—
457C24—472no—
458C24—472no—
459C24—948no—
460C24—942no—
461C24—942no—
462C24D4×D4711yescharacteristic
463#41—24no—
464#41—24no—
465#41—22no—
466#41—22no—
467#41—22no—
468#41—22no—
469#41—42no—
470#41—42no—
471#41—42no—
472#41—42no—
473C2×Q8—21no—
474C2×Q8—22no—
475C2×Q8—22no—
476C2×Q8C2×C4×D4712yescomplemented
477C2×D4—22no—
478C2×D4—22no—
479C2×D4—21no—
480C2×D4—22no—
481C2×D4—22no—
482C2×D4—42no—
483C2×D4—42no—
484C2×D4—948no—
485C2×D4—1888no—
486C2×D4C2×C4×D4712yescomplemented
487C22×C4—28no—
488C22×C4—24no—
489C22×C4—22no—
490C22×C4—21no—
491C22×C4—22no—
492C22×C4—22no—
493C22×C4—42no—
494C22×C4—42no—
495C22×C4—472no—
496C22×C4—472no—
497C22×C4—472no—
498C22×C4—474no—
499C22×C4—474no—
500C22×C4—474no—
501C22×C4—474no—
502C22×C4—9416no—
503C22×C4—9432no—
504C22×C4—9464no—
505C22×C4—948no—
506C22×C4—944no—
507C22×C4—942no—
508C22×C4—942no—
509C22×C4—942no—
510C22×C4—944no—
511C22×C4—944no—
512C22×C4—944no—
513C22×C4—944no—
514C22×C4—944no—
515C22×C4—944no—
516C22×C4—944no—
517C22×C4—944no—
518C22×C4—944no—
519C22×C4—944no—
520C22×C4—942no—
521C22×C4—942no—
522C22×C4—942no—
523C22×C4—942no—
524C22×C4—942no—
525C22×C4C2×C4×D4711yescharacteristic
526C22×C4C2×C4×D4711yescharacteristic
527C22×C4#1062535012yes—
528C22×C4D4×D4711yescharacteristic
529C22×C4D4×D4711yescharacteristic
530C22×C4D4×D4712yes—
531C22×C4D4×D4711yescharacteristic
532C22×C4#1062535212yes—
533C22×C4C2×C22⋊D4712yes—
534C22×C4C23×D4711yescharacteristic
535M16—22no—
536M16—22no—
537M16—42no—
538M16—942no—
539M16—942no—
540M16—1882no—
541C2×C8—22no—
542C2×C8—42no—
543C2×C8—942no—
544C2×C8—1882no—
545C4⋊C4—474no—
546C4⋊C4—948no—
547C4⋊C4—942no—
548C22⋊C4—948no—
549C22⋊C4—948no—
550C22⋊C4—942no—
551C22⋊C4—942no—
552C42—24no—
553C42—22no—
554C42—474no—
555C42—9416no—
556C42—942no—
557C42—944no—
558C42—942no—
559C42—942no—
560C42C2×C22⋊D4714yescomplemented
561C23—24no—
562C23—22no—
563C23—42no—
564C23—44no—
565C23—474no—
566C23—478no—
567C23—948no—
568C23—948no—
569C23—9416no—
570C23—9416no—
571C23—944no—
572C23—944no—
573C23—942no—
574C23—942no—
575C23—944no—
576C23C22⋊C4×D4711yescharacteristic
577C23C22⋊C4×D4711yescharacteristic
578C23#1309399212yes—
579C23#1309400612yes—
580C23C2×D4×D4711yescharacteristic
581Q8—22no—
582Q8—22no—
583Q8—42no—
584D4—22no—
585D4—22no—
586D4—44no—
587D4—42no—
588D4—42no—
589D4—42no—
590D4—18816no—
591C2×C4—28no—
592C2×C4—216no—
593C2×C4—24no—
594C2×C4—22no—
595C2×C4—42no—
596C2×C4—44no—
597C2×C4—42no—
598C2×C4—42no—
599C2×C4—474no—
600C2×C4—9464no—
601C2×C4—948no—
602C2×C4—9416no—
603C2×C4—944no—
604C2×C4—944no—
605C2×C4—944no—
606C2×C4—942no—
607C2×C4—942no—
608C2×C4—948no—
609C2×C4—948no—
610C2×C4—944no—
611C2×C4—944no—
612C2×C4—944no—
613C2×C4—944no—
614C2×C4—944no—
615C2×C4—1884no—
616C2×C4C22⋊C4×D4711yescharacteristic
617C2×C4C22⋊C4×D4711yescharacteristic
618C2×C4(C22⋊D47)⋊C412yes—
619C2×C4(C22⋊D47)⋊C412yes—
620C2×C4C4×C22⋊D4712yes—
621C2×C4C4×C22⋊D4712yes—
622C2×C4#1309399212yes—
623C2×C4#1309399512yes—
624C2×C4#1309399512yes—
625C2×C4#1309399712yes—
626C2×C4#1309399712yes—
627C2×C4#1309400612yes—
628C2×C4C22×C4×D4711yescharacteristic
629C2×C4C2×D4×D4711yescharacteristic
630C2×C4C2×D4×D4711yescharacteristic
631C2×C4C22×C22⋊D4711yescharacteristic
632C2×C4C2×#1062535211yescharacteristic
633C2×C4C2×#1062535011yescharacteristic
634C8—42no—
635C8—1882no—
636C22—22no—
637C22—22no—
638C22—24no—
639C22—24no—
640C22—44no—
641C22—42no—
642C22—84no—
643C22—478no—
644C22—948no—
645C22—9416no—
646C22—948no—
647C22—944no—
648C22—944no—
649C22—9416no—
650C22#1568899912yes—
651C22#1568899912yes—
652C22#104×D4714yes—
653C22C2×C22⋊C4×D4711yescharacteristic
654C22C2×#1309399211yescharacteristic
655C22C2×#1309400611yescharacteristic
656C4—28no—
657C4—42no—
658C4—948no—
659C4—944no—
660C4—1884no—
661C4#1568899912yes—
662C4#1568899912yes—
663C4C2×(C22⋊D47)⋊C411yescharacteristic
664C4C2×C4×C22⋊D4711yescharacteristic
665C4C2×#1309399511yescharacteristic
666C4C2×#1309399711yescharacteristic
667C2—21no—
668C2—22no—
669C2—21no—
670C2—82no—
671C2—948no—
672C2#2024382814yesdirect product factor
673C2C2×#1568899911yescharacteristic
674C2C2×#104×D4712yes—
subgroupG/H
centerC22×C4D4×D47
commutatorC2×C4×C47C23×C4
FrattiniC22×C4C23×D47
FittingC22×#104×C47C2
socleC23×C47C2×C22⋊C4
prime radicalC2×#15689630C2
cosocleC22×C4×C47C24
hypercenterC22×#104D47
hypocenterC47C2×#1896
LCSG ▷ C2×C4×C47 ▷ C2×C47 ▷ C47
UCSC1 ◁ C22×C4 ◁ C23×C4 ◁ C22×#104

Complements

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

NH ≅ G/Ntype
2. C22×C42×D47C2semidirect
3. C22×#13093951C2semidirect
4. C2×#15689086C2semidirect
5. #20243828C2direct (N × H)
6. C2×#15688884C2semidirect
7. C2×#15688883C2semidirect
8. C22×#104×C47C2semidirect
14. #15689630C4semidirect
17. C2×#13094000C4semidirect
18. C2×#13093995C4semidirect
27. C2×C42×D47C22semidirect
29. C2×#13093951C22semidirect
31. #15689086C22semidirect
33. #15688884C22semidirect
34. #15688883C22semidirect
39. C2×#104×C47C22semidirect
65. #13094000C2×C4semidirect
67. #13093995C2×C4semidirect
74. #13093983C2×C4semidirect
76. C2×C4⋊Dic47C2×C4semidirect
86. C2×C4×Dic47D4semidirect
99. C2×#41×C47C2×C4semidirect
101. C22×Q8×C47C2×C4semidirect
103. C22×D4×C47C2×C4semidirect
114. C2×C42×C47D4semidirect
138. C2×Q8×C47C22×C4semidirect
146. C2×D4×C47C22×C4semidirect
204. C42×C47C2×D4semidirect
210. C4⋊Dic47C22×C4semidirect
217. C4×Dic47C2×D4semidirect
241. C22×D47#104semidirect
318. C2×D47C2×#104semidirect
333. C22×#104D47semidirect
342. C2×C47#1896semidirect
371. C2×#104C2×D47semidirect
377. C47C2×#1896semidirect
385. C2×#41C4×D47semidirect
387. C22×Q8C4×D47semidirect
390. C22×D4C4×D47semidirect
450. C2×C42C22⋊D47semidirect
476. C2×Q8C2×C4×D47semidirect
486. C2×D4C2×C4×D47semidirect
560. C42C2×C22⋊D47semidirect
672. C2#20243828direct (N × H)

Maximal subgroups

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

subgroupindex
C2×#156896302
C22×C42×D472
C22×#130939512
C2×#156890862
#202438282
C2×#156888842
C2×#156888832
C22×#104×C472
C2×#189647