Finite Group Databasebeta

← C2×#20246769 #26384895

Subgroups — C2×#20246769 #26384895

Order 12032.

4946 conjugacy classes of subgroups.

The subgroup lattice has 684 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×#13094005C211yesmaximal, characteristic, complemented
2C22×#13093980C211yesmaximal, characteristic, complemented
3C23×C22⋊Dic47C211yesmaximal, characteristic, complemented
4#20246769C2116yesmaximal, direct product factor
5C2×#15689046C212yesmaximal, complemented
6C2×#15689037C212yesmaximal, complemented
7C2×#15689026C212yesmaximal, complemented
8C2×#15689011C212yesmaximal, complemented
9C2×#15689003C211yesmaximal, characteristic, complemented
10C2×#15688998C211yesmaximal, characteristic, complemented
11C2×#15688979C211yesmaximal, characteristic, complemented
12C22×#120×C47C211yesmaximal, characteristic
13C24×Dic47C2211yescharacteristic
14C24×Dic47C2211yescharacteristic
15C2×#13094005—28no—
16C2×#13094005C2218yescomplemented
17C2×#13093980—28no—
18C2×#13093980C2218yescomplemented
19C22×C4⋊Dic47C2212yescomplemented
20C22×Dic47⋊C4C2212yescomplemented
21C22×Dic47⋊C4C2211yescharacteristic, complemented
22C22×Dic47⋊C4C2211yescharacteristic, complemented
23C22×C22⋊Dic47—28no—
24C22×C22⋊Dic47C2212yes—
25C22×C22⋊Dic47C2212yes—
26C22×C22⋊Dic47C2211yescharacteristic
27C22×C22⋊Dic47C2211yescharacteristic
28C22×C22⋊Dic47C2212yes—
29C22×C22⋊Dic47C2212yes—
30C22×C22⋊Dic47C2218yescomplemented
31C22×C22⋊Dic47C2211yescharacteristic, complemented
32C22×C22⋊Dic47C2211yescharacteristic, complemented
33C22×C22⋊Dic47C2212yescomplemented
34C22×C4×Dic47C2212yescomplemented
35#15689046C22116yescomplemented
36#15689037C22116yescomplemented
37#15689026C22116yescomplemented
38#15689011C22116yescomplemented
39#15689003C2218yescomplemented
40#15688998C2218yescomplemented
41#15688979C2218yescomplemented
42C2×C47⋊#95C2212yescomplemented
43C2×C47⋊#95C2212yescomplemented
44C26×C47C2211yescharacteristic
45C23×D4×C47C2211yescharacteristic
46C23×D4×C47C2212yes—
47C2×#120×C47—28no—
48C2×#120×C47C2218yes—
49C22×C22⋊C4×C47C2212yes—
50C22×C22⋊C4×C47C2211yescharacteristic
51C23×Dic47—24no—
52C23×Dic47—24no—
53C23×Dic47—24no—
54C23×Dic47—44no—
55C23×Dic47D418yescomplemented
56C23×Dic47C2311yescharacteristic
57C23×Dic47C2312yes—
58C23×Dic47C2312yes—
59C23×Dic47C2311yescharacteristic
60C23×Dic47C2311yescharacteristic
61C23×Dic47C2311yescharacteristic
62C23×Dic47C2314yes—
63C23×Dic47C2314yes—
64#13094005—232no—
65#13093980—232no—
66C2×C4⋊Dic47—44no—
67C2×C4⋊Dic47C2318yescomplemented
68C2×Dic47⋊C4—28no—
69C2×Dic47⋊C4—24no—
70C2×Dic47⋊C4—24no—
71C2×Dic47⋊C4C2314yescomplemented
72C2×Dic47⋊C4C2318yescomplemented
73C2×Dic47⋊C4C2314yescomplemented
74C2×C22⋊Dic47—24no—
75C2×C22⋊Dic47—24no—
76C2×C22⋊Dic47—28no—
77C2×C22⋊Dic47—28no—
78C2×C22⋊Dic47—28no—
79C2×C22⋊Dic47—24no—
80C2×C22⋊Dic47—24no—
81C2×C22⋊Dic47—232no—
82C2×C22⋊Dic47—44no—
83C2×C22⋊Dic47—44no—
84C2×C22⋊Dic47C2314yes—
85C2×C22⋊Dic47C2314yes—
86C2×C22⋊Dic47C2318yes—
87C2×C22⋊Dic47C2318yes—
88C2×C22⋊Dic47C2318yes—
89C2×C22⋊Dic47C2318yes—
90C2×C22⋊Dic47C2314yescomplemented
91C2×C22⋊Dic47C2314yescomplemented
92C2×C22⋊Dic47C2318yescomplemented
93C2×C4×Dic47—28no—
94C2×C4×Dic47C2318yescomplemented
95C47⋊#95C2318yescomplemented
96C47⋊#95C2318yescomplemented
97C25×C47—24no—
98C25×C47—28no—
99C25×C47—24no—
100C25×C47—24no—
101C25×C47—44no—
102C25×C47C2311yescharacteristic
103C25×C47C2312yes—
104C25×C47C2314yes—
105C25×C47C2311yescharacteristic
106C22×D4×C47—24no—
107C22×D4×C47—24no—
108C22×D4×C47—28no—
109C22×D4×C47—24no—
110C22×D4×C47—28no—
111C22×D4×C47—44no—
112C22×D4×C47C2314yes—
113C22×D4×C47C2318yes—
114C23×C4×C47C2311yescharacteristic
115C23×C4×C47C2312yes—
116#120×C47—232no—
117C2×C22⋊C4×C47—28no—
118C2×C22⋊C4×C47D418yes—
119C2×C22⋊C4×C47C2318yes—
120C2×C22⋊C4×C47C2314yes—
121C24×C47—24no—
122C24×C47—24no—
123C24×C47—232no—
124C24×C47—24no—
125C24×C47—28no—
126C24×C47—24no—
127C24×C47—216no—
128C24×C47—24no—
129C24×C47—24no—
130C24×C47—24no—
131C24×C47—24no—
132C24×C47—28no—
133C24×C47—22no—
134C24×C47—22no—
135C24×C47—22no—
136C24×C47—24no—
137C24×C47—28no—
138C24×C47—24no—
139C24×C47—48no—
140C24×C47—432no—
141C24×C47—432no—
142C24×C47—416no—
143C24×C47—416no—
144C24×C47C2×D414yes—
145C24×C47C2×D414yes—
146C24×C47#4118yes—
147C24×C47#4114yes—
148C24×C47C2412yes—
149C24×C47C2414yes—
150C24×C47C2412yes—
151C24×C47C2411yescharacteristic
152C2×D4×C47—28no—
153C2×D4×C47—28no—
154C2×D4×C47—216no—
155C2×D4×C47—28no—
156C2×D4×C47—216no—
157C2×D4×C47—48no—
158C2×D4×C47—432no—
159C2×D4×C47—416no—
160C22×C4×C47—24no—
161C22×C4×C47—24no—
162C22×C4×C47—22no—
163C22×C4×C47—22no—
164C22×C4×C47—22no—
165C22×C4×C47C2×D418yes—
166C22×C4×C47C2412yes—
167C22×C4×C47C2414yes—
168C22×Dic47—232no—
169C22×Dic47—22no—
170C22×Dic47—22no—
171C22×Dic47—28no—
172C22×Dic47—22no—
173C22×Dic47—22no—
174C22×Dic47—28no—
175C22×Dic47—24no—
176C22×Dic47—22no—
177C22×Dic47—22no—
178C22×Dic47—28no—
179C22×Dic47—24no—
180C22×Dic47—24no—
181C22×Dic47—24no—
182C22×Dic47—24no—
183C22×Dic47—24no—
184C22×Dic47—24no—
185C22×Dic47—24no—
186C22×Dic47—48no—
187C22×Dic47—416no—
188C22×Dic47C2×D414yes—
189C22×Dic47C2×D414yes—
190C22×Dic47C2×D4116yescomplemented
191C22×Dic47C2412yes—
192C22×Dic47C2414yes—
193C22×Dic47C2414yes—
194C22×Dic47C2412yes—
195C22×Dic47C2412yes—
196C22×Dic47C2412yes—
197C22⋊C4×C47—216no—
198C22⋊C4×C47C2×D4116yes—
199C22⋊Dic47—28no—
200C22⋊Dic47—28no—
201C22⋊Dic47—216no—
202C22⋊Dic47—216no—
203C22⋊Dic47—216no—
204C22⋊Dic47—28no—
205C22⋊Dic47—28no—
206C22⋊Dic47—48no—
207C22⋊Dic47—48no—
208C4⋊Dic47—48no—
209Dic47⋊C4—216no—
210Dic47⋊C4—28no—
211Dic47⋊C4—28no—
212C4×Dic47—216no—
213C23×C47—28no—
214C23×C47—28no—
215C23×C47—216no—
216C23×C47—216no—
217C23×C47—24no—
218C23×C47—24no—
219C23×C47—232no—
220C23×C47—216no—
221C23×C47—216no—
222C23×C47—216no—
223C23×C47—24no—
224C23×C47—24no—
225C23×C47—24no—
226C23×C47—24no—
227C23×C47—24no—
228C23×C47—24no—
229C23×C47—22no—
230C23×C47—22no—
231C23×C47—22no—
232C23×C47—24no—
233C23×C47—24no—
234C23×C47—432no—
235C23×C47—432no—
236C23×C47—4128no—
237C23×C47—416no—
238C23×C47—416no—
239C23×C47—48no—
240C23×C47—48no—
241C23×C47—48no—
242C23×C47—48no—
243C23×C47—44no—
244C23×C47—44no—
245C23×C47—44no—
246C23×C47—48no—
247C23×C47—48no—
248C23×C47#121116yes—
249C23×C47C22×D414yes—
250C23×C47C22×D412yes—
251C23×C47C22×D414yes—
252C23×C47C22×D412yes—
253C23×C47C2×#4118yes—
254C23×C47C2×#4114yes—
255C23×C47C2×#4112yes—
256C23×C47C2×#4114yes—
257C23×C47H(5,𝔽2)14yes—
258C23×C47C2511yescharacteristic
259D4×C47—432no—
260D4×C47—416no—
261C2×C4×C47—216no—
262C2×C4×C47—24no—
263C2×C4×C47—24no—
264C2×C4×C47—22no—
265C2×C4×C47—22no—
266C2×C4×C47—22no—
267C2×C4×C47—44no—
268C2×C4×C47C22×D418yes—
269C2×Dic47—28no—
270C2×Dic47—28no—
271C2×Dic47—232no—
272C2×Dic47—22no—
273C2×Dic47—22no—
274C2×Dic47—22no—
275C2×Dic47—22no—
276C2×Dic47—24no—
277C2×Dic47—22no—
278C2×Dic47—22no—
279C2×Dic47—24no—
280C2×Dic47—24no—
281C2×Dic47—24no—
282C2×Dic47—24no—
283C2×Dic47—24no—
284C2×Dic47—24no—
285C2×Dic47—24no—
286C2×Dic47—416no—
287C2×Dic47—44no—
288C2×Dic47—44no—
289C2×Dic47—48no—
290C2×Dic47—48no—
291C2×Dic47C22×D414yes—
292C2×Dic47C22×D414yes—
293C2×#2411—471nomaximal, Sylow
294C22×C47—232no—
295C22×C47—24no—
296C22×C47—24no—
297C22×C47—28no—
298C22×C47—28no—
299C22×C47—28no—
300C22×C47—28no—
301C22×C47—28no—
302C22×C47—464no—
303C22×C47—44no—
304C22×C47—432no—
305C22×C47—44no—
306C22×C47—44no—
307C22×C47—44no—
308C22×C47—42no—
309C22×C47—42no—
310C22×C47—42no—
311C22×C47—44no—
312C22×C47—44no—
313C22×C47—88no—
314C22×C47C2×#12118yes—
315C22×C47C2×#12114yes—
316C22×C47#52514yes—
317C22×C47#53514yes—
318C22×C47#54618yes—
319C22×C47#55118yes—
320C22×C47C23×D411yescharacteristic
321C22×C47C23×D411yescharacteristic
322C22×C47C22×#4111yescharacteristic
323C22×C47C22×#4112yes—
324C22×C47C2×H(5,𝔽2)12yes—
325C4×C47—28no—
326C4×C47—42no—
327Dic47—24no—
328Dic47—24no—
329Dic47—42no—
330Dic47—42no—
331Dic47—44no—
332Dic47—44no—
333C22×#123—471no—
334C22×#120D4711yescharacteristic
335C22×#117—471no—
336C23×C22⋊C4—471no—
337#2411—4716no—
338C2×#396—472no—
339C2×#394—472no—
340C2×#390—472no—
341C2×#388—472no—
342C2×#386—471no—
343C2×#385—471no—
344C2×#379—471no—
345C2×C47—28no—
346C2×C47—48no—
347C2×C47—82no—
348C2×C47#241118yescomplemented
349C2×C47C22×#12111yescharacteristic
350C2×C47C2×#52511yescharacteristic
351C2×C47C2×#53511yescharacteristic
352C2×C47C2×#54612yes—
353C2×C47C2×#55112yes—
354C26C2×D4711yescharacteristic
355C23×D4C2×D4711yescharacteristic
356C23×D4C2×D4712yes—
357C24×C4—471no—
358C24×C4—471no—
359C2×#123—478no—
360C2×#123—948no—
361C2×#120—28no—
362C2×#120C2×D4718yes—
363C2×#117—478no—
364C2×#117—948no—
365C22×C4⋊C4—472no—
366C22×C4⋊C4—471no—
367C22×C4⋊C4—471no—
368C22×C4⋊C4—472no—
369C22×C22⋊C4—471no—
370C22×C22⋊C4—472no—
371C22×C22⋊C4—472no—
372C22×C22⋊C4—472no—
373C22×C22⋊C4—478no—
374C22×C22⋊C4—471no—
375C22×C22⋊C4—471no—
376C22×C22⋊C4—471no—
377C22×C22⋊C4—472no—
378C22×C22⋊C4—472no—
379C22×C22⋊C4—948no—
380C22×C22⋊C4C2×D4712yes—
381C22×C22⋊C4C2×D4711yescharacteristic
382C22×C42—472no—
383#396—4716no—
384#394—4716no—
385#390—4716no—
386#388—4716no—
387#386—478no—
388#385—478no—
389#379—478no—
390C2×#95—472no—
391C2×#95—472no—
392C47C2×#241111yescharacteristic, complemented, Sylow
393C25—24no—
394C25—28no—
395C25—24no—
396C25—24no—
397C25—44no—
398C25C22×D4711yescharacteristic
399C25C22×D4712yes—
400C25C22×D4714yes—
401C25C22×D4711yescharacteristic
402C22×D4—24no—
403C22×D4—28no—
404C22×D4—24no—
405C22×D4—24no—
406C22×D4—28no—
407C22×D4—44no—
408C22×D4C22×D4714yes—
409C22×D4C22×D4718yes—
410C23×C4—478no—
411C23×C4—474no—
412C23×C4—471no—
413C23×C4—471no—
414C23×C4—471no—
415C23×C4—471no—
416C23×C4—472no—
417C23×C4—472no—
418C23×C4—474no—
419C23×C4—944no—
420C23×C4—944no—
421C23×C4—944no—
422C23×C4—1884no—
423C23×C4C22×D4711yescharacteristic
424C23×C4C22×D4712yes—
425#123—9432no—
426#120—232no—
427#117—9432no—
428C2×C4⋊C4—478no—
429C2×C4⋊C4—474no—
430C2×C4⋊C4—474no—
431C2×C4⋊C4—478no—
432C2×C4⋊C4—944no—
433C2×C4⋊C4—944no—
434C2×C4⋊C4—948no—
435C2×C4⋊C4—1884no—
436C2×C22⋊C4—28no—
437C2×C22⋊C4—478no—
438C2×C22⋊C4—478no—
439C2×C22⋊C4—474no—
440C2×C22⋊C4—474no—
441C2×C22⋊C4—474no—
442C2×C22⋊C4—474no—
443C2×C22⋊C4—478no—
444C2×C22⋊C4—478no—
445C2×C22⋊C4—478no—
446C2×C22⋊C4—948no—
447C2×C22⋊C4—948no—
448C2×C22⋊C4—9432no—
449C2×C22⋊C4—944no—
450C2×C22⋊C4—944no—
451C2×C22⋊C4—944no—
452C2×C22⋊C4—948no—
453C2×C22⋊C4—944no—
454C2×C22⋊C4—1884no—
455C2×C22⋊C4—1884no—
456C2×C22⋊C4C22⋊D4718yes—
457C2×C22⋊C4C22×D4718yes—
458C2×C22⋊C4C22×D4714yes—
459C2×C42—478no—
460C2×C42—948no—
461#95—478no—
462#95—478no—
463C24—24no—
464C24—24no—
465C24—232no—
466C24—28no—
467C24—24no—
468C24—24no—
469C24—216no—
470C24—24no—
471C24—24no—
472C24—24no—
473C24—24no—
474C24—22no—
475C24—28no—
476C24—22no—
477C24—24no—
478C24—22no—
479C24—28no—
480C24—24no—
481C24—48no—
482C24—432no—
483C24—432no—
484C24—416no—
485C24—416no—
486C24D4×D4714yes—
487C24#1062535218yes—
488C24#1062535214yes—
489C24C2×C22⋊D4714yes—
490C24C23×D4712yes—
491C24C23×D4714yes—
492C24C23×D4712yes—
493C24C23×D4711yescharacteristic
494C2×D4—28no—
495C2×D4—28no—
496C2×D4—216no—
497C2×D4—28no—
498C2×D4—216no—
499C2×D4—48no—
500C2×D4—432no—
501C2×D4—416no—
502C22×C4—24no—
503C22×C4—24no—
504C22×C4—22no—
505C22×C4—22no—
506C22×C4—22no—
507C22×C4—474no—
508C22×C4—474no—
509C22×C4—4716no—
510C22×C4—472no—
511C22×C4—472no—
512C22×C4—472no—
513C22×C4—474no—
514C22×C4—474no—
515C22×C4—472no—
516C22×C4—9432no—
517C22×C4—942no—
518C22×C4—942no—
519C22×C4—948no—
520C22×C4—948no—
521C22×C4—942no—
522C22×C4—942no—
523C22×C4—942no—
524C22×C4—942no—
525C22×C4—948no—
526C22×C4—944no—
527C22×C4—944no—
528C22×C4—944no—
529C22×C4—944no—
530C22×C4—944no—
531C22×C4—944no—
532C22×C4—944no—
533C22×C4—944no—
534C22×C4—1888no—
535C22×C4—18816no—
536C22×C4C2×C22⋊D4718yes—
537C22×C4C23×D4712yes—
538C22×C4C23×D4714yes—
539C4⋊C4—948no—
540C4⋊C4—948no—
541C4⋊C4—9416no—
542C4⋊C4—1888no—
543C22⋊C4—216no—
544C22⋊C4—9416no—
545C22⋊C4—9416no—
546C22⋊C4—948no—
547C22⋊C4—948no—
548C22⋊C4—948no—
549C22⋊C4—948no—
550C22⋊C4—9416no—
551C22⋊C4—1888no—
552C22⋊C4—1888no—
553C22⋊C4C2×C22⋊D47116yes—
554C42—9416no—
555C23—216no—
556C23—216no—
557C23—28no—
558C23—28no—
559C23—24no—
560C23—24no—
561C23—232no—
562C23—216no—
563C23—216no—
564C23—216no—
565C23—24no—
566C23—24no—
567C23—24no—
568C23—24no—
569C23—24no—
570C23—24no—
571C23—22no—
572C23—22no—
573C23—24no—
574C23—22no—
575C23—24no—
576C23—432no—
577C23—432no—
578C23—416no—
579C23—4128no—
580C23—48no—
581C23—48no—
582C23—416no—
583C23—48no—
584C23—48no—
585C23—48no—
586C23—48no—
587C23—44no—
588C23—44no—
589C23—44no—
590C23#13093995116yes—
591C23C2×D4×D4714yes—
592C23C2×D4×D4712yes—
593C23C22×C22⋊D4714yes—
594C23C22×C22⋊D4712yes—
595C23C2×#1062535218yes—
596C23C2×#1062535214yes—
597C23C2×#1062535214yes—
598C23C2×#1062535212yes—
599C23#1309406914yes—
600C23C24×D4711yescharacteristic
601D4—432no—
602D4—416no—
603C2×C4—216no—
604C2×C4—24no—
605C2×C4—24no—
606C2×C4—22no—
607C2×C4—22no—
608C2×C4—22no—
609C2×C4—44no—
610C2×C4—474no—
611C2×C4—474no—
612C2×C4—9432no—
613C2×C4—948no—
614C2×C4—948no—
615C2×C4—942no—
616C2×C4—942no—
617C2×C4—942no—
618C2×C4—942no—
619C2×C4—942no—
620C2×C4—942no—
621C2×C4—944no—
622C2×C4—944no—
623C2×C4—944no—
624C2×C4—944no—
625C2×C4—944no—
626C2×C4—944no—
627C2×C4—944no—
628C2×C4—944no—
629C2×C4—18816no—
630C2×C4—1888no—
631C2×C4—1884no—
632C2×C4—1884no—
633C2×C4—1888no—
634C2×C4C22×C22⋊D4718yes—
635C22—28no—
636C22—24no—
637C22—28no—
638C22—24no—
639C22—232no—
640C22—28no—
641C22—28no—
642C22—28no—
643C22—464no—
644C22—44no—
645C22—44no—
646C22—44no—
647C22—44no—
648C22—432no—
649C22—44no—
650C22—42no—
651C22—42no—
652C22—44no—
653C22—42no—
654C22—88no—
655C22C2×#1309399518yes—
656C22C2×#1309399514yes—
657C22#1568962914yes—
658C22#1568968814yes—
659C22#1568976718yes—
660C22#1568980418yes—
661C22C22×D4×D4711yescharacteristic
662C22C23×C22⋊D4711yescharacteristic
663C22C22×#1062535212yes—
664C22C22×#1062535211yescharacteristic
665C22C2×#1309406912yes—
666C4—28no—
667C4—42no—
668C4—944no—
669C4—944no—
670C4—1884no—
671C4—1882no—
672C4—1884no—
673C4—1882no—
674C2—28no—
675C2—48no—
676C2—82no—
677C2#2024676918yesdirect product factor
678C2C22×#1309399511yescharacteristic
679C2C2×#1568962911yescharacteristic
680C2C2×#1568968811yescharacteristic
681C2C2×#1568976712yes—
682C2C2×#1568980412yes—
subgroupG/H
centerC24C23×D47
commutator, cosocleC23×C47C25
FrattiniC23C24×D47
Fitting, prime radicalC22×#120×C47C2
socleC24×C47C24
hypercenterC22×#120D47
hypocenterC47C2×#2411
LCSG ▷ C23×C47 ▷ C47
UCSC1 ◁ C24 ◁ C22×#120

Complements

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

NH ≅ G/Ntype
1. C22×#13094005C2semidirect
2. C22×#13093980C2semidirect
3. C23×C22⋊Dic47C2semidirect
4. #20246769C2direct (N × H)
5. C2×#15689046C2semidirect
6. C2×#15689037C2semidirect
7. C2×#15689026C2semidirect
8. C2×#15689011C2semidirect
9. C2×#15689003C2semidirect
10. C2×#15688998C2semidirect
11. C2×#15688979C2semidirect
16. C2×#13094005C22semidirect
18. C2×#13093980C22semidirect
19. C22×C4⋊Dic47C22semidirect
20. C22×Dic47⋊C4C22semidirect
21. C22×Dic47⋊C4C22semidirect
22. C22×Dic47⋊C4C22semidirect
30. C22×C22⋊Dic47C22semidirect
31. C22×C22⋊Dic47C22semidirect
32. C22×C22⋊Dic47C22semidirect
33. C22×C22⋊Dic47C22semidirect
34. C22×C4×Dic47C22semidirect
35. #15689046C22semidirect
36. #15689037C22semidirect
37. #15689026C22semidirect
38. #15689011C22semidirect
39. #15689003C22semidirect
40. #15688998C22semidirect
41. #15688979C22semidirect
42. C2×C47⋊#95C22semidirect
43. C2×C47⋊#95C22semidirect
55. C23×Dic47D4semidirect
67. C2×C4⋊Dic47C23semidirect
71. C2×Dic47⋊C4C23semidirect
72. C2×Dic47⋊C4C23semidirect
73. C2×Dic47⋊C4C23semidirect
90. C2×C22⋊Dic47C23semidirect
91. C2×C22⋊Dic47C23semidirect
92. C2×C22⋊Dic47C23semidirect
94. C2×C4×Dic47C23semidirect
95. C47⋊#95C23semidirect
96. C47⋊#95C23semidirect
190. C22×Dic47C2×D4semidirect
348. C2×C47#2411semidirect
392. C47C2×#2411semidirect
677. C2#20246769direct (N × H)

Maximal subgroups

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

subgroupindex
C22×#130940052
C22×#130939802
C23×C22⋊Dic472
#202467692
C2×#156890462
C2×#156890372
C2×#156890262
C2×#156890112
C2×#156890032
C2×#156889982
C2×#156889792
C22×#120×C472
C2×#241147