Finite Group Databasebeta

← C2×#20246775 #26384901

Subgroups — C2×#20246775 #26384901

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×#13094008C211yesmaximal, characteristic, complemented
2C22×#13093993C211yesmaximal, characteristic
3C22×#13093980C211yesmaximal, characteristic, complemented
4C23×C22⋊Dic47C211yesmaximal, characteristic, complemented
5#20246775C2116yesmaximal, direct product factor
6C2×#15689046C212yesmaximal, complemented
7C2×#15689038C212yesmaximal, complemented
8C2×#15689023C212yesmaximal, complemented
9C2×#15689016C212yesmaximal, complemented
10C2×#15689000C211yesmaximal, characteristic, complemented
11C2×#15688995C211yesmaximal, characteristic, complemented
12C2×C47×#379C211yesmaximal, characteristic, complemented
13C23×C22⋊D47C2211yescharacteristic
14C23×C22⋊D47C2212yes—
15C24×Dic47C2211yescharacteristic
16C24×Dic47C2211yescharacteristic
17C2×#13094008—28no—
18C2×#13094008C2218yescomplemented
19C2×#13093993—28no—
20C2×#13093993C2218yes—
21C2×#13093980—28no—
22C2×#13093980C2218yescomplemented
23C22×C4⋊Dic47C2211yescharacteristic, complemented
24C22×C4⋊Dic47C2211yescharacteristic, complemented
25C22×Dic47⋊C4C2212yescomplemented
26C22×Dic47⋊C4C2212yescomplemented
27C22×C22⋊Dic47—28no—
28C22×C22⋊Dic47C2212yes—
29C22×C22⋊Dic47C2212yes—
30C22×C22⋊Dic47C2212yes—
31C22×C22⋊Dic47C2211yescharacteristic
32C22×C22⋊Dic47C2218yescomplemented
33C22×(C2×D47)⋊C4C2211yescharacteristic, complemented
34C22×(C2×D47)⋊C4C2211yescharacteristic, complemented
35C22×(C2×D47)⋊C4C2212yescomplemented
36C22×C4×Dic47C2212yescomplemented
37#15689046C22116yescomplemented
38#15689038C22116yescomplemented
39#15689023C22116yescomplemented
40#15689016C22116yescomplemented
41#15689000C2218yescomplemented
42#15688995C2218yescomplemented
43C2×C47⋊#95C2212yescomplemented
44C2×C47⋊#95C2212yescomplemented
45C26×C47C2211yescharacteristic
46C22×C22⋊C4×C47C2211yescharacteristic
47C22×C22⋊C4×C47C2211yescharacteristic
48C22×C22⋊C4×C47C2212yes—
49C22×C22⋊C4×C47C2212yes—
50C47×#379C2218yescomplemented
51C24×D47C2311yescharacteristic
52C22×C22⋊D47—24no—
53C22×C22⋊D47—24no—
54C22×C22⋊D47—28no—
55C22×C22⋊D47—24no—
56C22×C22⋊D47—28no—
57C22×C22⋊D47—44no—
58C22×C22⋊D47C2314yes—
59C22×C22⋊D47C2318yes—
60C23×Dic47—24no—
61C23×Dic47—24no—
62C23×Dic47—24no—
63C23×Dic47—44no—
64C23×Dic47D418yescomplemented
65C23×Dic47C2312yes—
66C23×Dic47C2311yescharacteristic
67C23×Dic47C2312yes—
68C23×Dic47C2311yescharacteristic
69C23×Dic47C2311yescharacteristic
70C23×Dic47C2314yes—
71C23×Dic47C2314yes—
72#13094008—232no—
73#13093993—232no—
74#13093980—232no—
75C2×C4⋊Dic47—24no—
76C2×C4⋊Dic47—24no—
77C2×C4⋊Dic47C2314yescomplemented
78C2×C4⋊Dic47C2314yescomplemented
79C2×Dic47⋊C4—28no—
80C2×Dic47⋊C4—44no—
81C2×Dic47⋊C4C2318yescomplemented
82C2×Dic47⋊C4C2318yescomplemented
83C2×C22⋊Dic47—28no—
84C2×C22⋊Dic47—28no—
85C2×C22⋊Dic47—28no—
86C2×C22⋊Dic47—232no—
87C2×C22⋊Dic47D418yes—
88C2×C22⋊Dic47C2318yes—
89C2×C22⋊Dic47C2318yes—
90C2×C22⋊Dic47C2318yes—
91C2×C22⋊Dic47C2314yes—
92C2×(C2×D47)⋊C4—24no—
93C2×(C2×D47)⋊C4—24no—
94C2×(C2×D47)⋊C4—44no—
95C2×(C2×D47)⋊C4C2314yescomplemented
96C2×(C2×D47)⋊C4C2314yescomplemented
97C2×(C2×D47)⋊C4C2318yescomplemented
98C2×C4×Dic47—28no—
99C2×C4×Dic47C2318yescomplemented
100C47⋊#95C2318yescomplemented
101C47⋊#95C2318yescomplemented
102C25×C47—24no—
103C25×C47—28no—
104C25×C47—24no—
105C25×C47—24no—
106C25×C47—44no—
107C25×C47C2312yes—
108C25×C47C2314yes—
109C25×C47C2311yescharacteristic
110C23×C4×C47C2311yescharacteristic
111C23×C4×C47C2312yes—
112C23×C4×C47C2311yescharacteristic
113C2×C22⋊C4×C47—24no—
114C2×C22⋊C4×C47—24no—
115C2×C22⋊C4×C47—28no—
116C2×C22⋊C4×C47—44no—
117C2×C22⋊C4×C47C2314yes—
118C2×C22⋊C4×C47C2314yes—
119C2×C22⋊C4×C47C2318yes—
120C2×C22⋊C4×C47C2318yes—
121C24×C47—24no—
122C24×C47—24no—
123C24×C47—232no—
124C24×C47—28no—
125C24×C47—24no—
126C24×C47—24no—
127C24×C47—216no—
128C24×C47—24no—
129C24×C47—24no—
130C24×C47—24no—
131C24×C47—24no—
132C24×C47—28no—
133C24×C47—28no—
134C24×C47—48no—
135C24×C47—432no—
136C24×C47—432no—
137C24×C47—416no—
138C24×C47—416no—
139C24×C47C2×D414yes—
140C24×C47C2×D414yes—
141C24×C47#4118yes—
142C24×C47#4114yes—
143C24×C47C2414yes—
144C24×C47C2412yes—
145C24×C47C2411yescharacteristic
146C23×D47—22no—
147C23×D47—22no—
148C23×D47—22no—
149C23×D47—24no—
150C23×D47—24no—
151C23×D47C2412yes—
152C22×C4×C47—24no—
153C22×C4×C47—22no—
154C22×C4×C47—22no—
155C22×C4×C47—24no—
156C22×C4×C47—24no—
157C22×C4×C47—24no—
158C22×C4×C47—24no—
159C22×C4×C47C2412yes—
160C22×C4×C47C2414yes—
161C22×C4×C47C2412yes—
162C2×C22⋊D47—28no—
163C2×C22⋊D47—28no—
164C2×C22⋊D47—216no—
165C2×C22⋊D47—28no—
166C2×C22⋊D47—216no—
167C2×C22⋊D47—48no—
168C2×C22⋊D47—432no—
169C2×C22⋊D47—416no—
170C22×Dic47—232no—
171C22×Dic47—22no—
172C22×Dic47—22no—
173C22×Dic47—28no—
174C22×Dic47—22no—
175C22×Dic47—22no—
176C22×Dic47—28no—
177C22×Dic47—24no—
178C22×Dic47—24no—
179C22×Dic47—28no—
180C22×Dic47—24no—
181C22×Dic47—22no—
182C22×Dic47—22no—
183C22×Dic47—22no—
184C22×Dic47—24no—
185C22×Dic47—24no—
186C22×Dic47—48no—
187C22×Dic47—416no—
188C22×Dic47C2×D418yes—
189C22×Dic47C2×D414yes—
190C22×Dic47C2×D414yes—
191C22×Dic47C2×D4116yescomplemented
192C22×Dic47C2414yes—
193C22×Dic47C2412yes—
194C22×Dic47C2414yes—
195C22×Dic47C2412yes—
196C22×Dic47C2412yes—
197C22⋊C4×C47—28no—
198C22⋊C4×C47—28no—
199C22⋊C4×C47—216no—
200C22⋊C4×C47—48no—
201C22⋊Dic47—216no—
202C22⋊Dic47—216no—
203C22⋊Dic47—216no—
204C22⋊Dic47C2×D4116yes—
205(C2×D47)⋊C4—28no—
206(C2×D47)⋊C4—28no—
207(C2×D47)⋊C4—48no—
208C4⋊Dic47—28no—
209C4⋊Dic47—28no—
210Dic47⋊C4—216no—
211Dic47⋊C4—48no—
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—432no—
230C23×C47—432no—
231C23×C47—4128no—
232C23×C47—416no—
233C23×C47—416no—
234C23×C47—48no—
235C23×C47—48no—
236C23×C47—48no—
237C23×C47—48no—
238C23×C47#121116yes—
239C23×C47C22×D414yes—
240C23×C47C22×D414yes—
241C23×C47C22×D412yes—
242C23×C47C22×D412yes—
243C23×C47C2×#4118yes—
244C23×C47C2×#4114yes—
245C23×C47C2×#4114yes—
246C23×C47C2×#4112yes—
247C23×C47H(5,𝔽2)14yes—
248C23×C47C2511yescharacteristic
249C22×D47—22no—
250C22×D47—22no—
251C22×D47—24no—
252C22×D47—22no—
253C22×D47—24no—
254C22×D47—44no—
255C22×D47—44no—
256C22×D47—44no—
257C22×D47—48no—
258C22×D47—48no—
259C2×C4×C47—24no—
260C2×C4×C47—22no—
261C2×C4×C47—22no—
262C2×C4×C47—24no—
263C2×C4×C47—24no—
264C2×C4×C47—24no—
265C2×C4×C47—24no—
266C2×C4×C47—44no—
267C2×C4×C47—44no—
268C2×C4×C47—48no—
269C22⋊D47—432no—
270C22⋊D47—416no—
271C2×Dic47—28no—
272C2×Dic47—28no—
273C2×Dic47—232no—
274C2×Dic47—216no—
275C2×Dic47—22no—
276C2×Dic47—22no—
277C2×Dic47—22no—
278C2×Dic47—22no—
279C2×Dic47—24no—
280C2×Dic47—24no—
281C2×Dic47—22no—
282C2×Dic47—24no—
283C2×Dic47—22no—
284C2×Dic47—22no—
285C2×Dic47—24no—
286C2×Dic47—24no—
287C2×Dic47—416no—
288C2×Dic47—44no—
289C2×Dic47—48no—
290C2×Dic47C22×D418yes—
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×C47C2×#12118yes—
309C22×C47C2×#12114yes—
310C22×C47#52514yes—
311C22×C47#53514yes—
312C22×C47#54618yes—
313C22×C47#55118yes—
314C22×C47C23×D411yescharacteristic
315C22×C47C23×D411yescharacteristic
316C22×C47C22×#4112yes—
317C22×C47C22×#4111yescharacteristic
318C22×C47C2×H(5,𝔽2)12yes—
319C2×D47—42no—
320C2×D47—42no—
321C2×D47—42no—
322C2×D47—44no—
323C2×D47—44no—
324C2×D47—88no—
325C4×C47—42no—
326C4×C47—42no—
327C4×C47—44no—
328Dic47—24no—
329Dic47—24no—
330Dic47—28no—
331Dic47—42no—
332Dic47—44no—
333C22×#123—471no—
334C22×#120—471no—
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×#379D4711yescharacteristic, complemented
345C2×C47—28no—
346C2×C47—48no—
347C2×C47#241118yescomplemented
348C2×C47C22×#12111yescharacteristic
349C2×C47C2×#52511yescharacteristic
350C2×C47C2×#53511yescharacteristic
351C2×C47C2×#54612yes—
352C2×C47C2×#55112yes—
353D47—82no—
354C26C2×D4711yescharacteristic
355C23×D4—471no—
356C23×D4—472no—
357C24×C4—471no—
358C24×C4—471no—
359C2×#123—478no—
360C2×#123—948no—
361C2×#120—478no—
362C2×#120—948no—
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—472no—
377C22×C22⋊C4—948no—
378C22×C22⋊C4C2×D4712yes—
379C22×C22⋊C4C2×D4711yescharacteristic
380C22×C22⋊C4C2×D4711yescharacteristic
381C22×C22⋊C4C2×D4712yes—
382C22×C42—472no—
383#396—4716no—
384#394—4716no—
385#390—4716no—
386#388—4716no—
387#386—478no—
388#385—478no—
389#379C2×D4718yescomplemented
390C2×#95—472no—
391C2×#95—472no—
392C47C2×#241111yescharacteristic, complemented, Sylow
393C25—24no—
394C25—28no—
395C25—24no—
396C25—24no—
397C25—44no—
398C25—471no—
399C25C22×D4712yes—
400C25C22×D4714yes—
401C25C22×D4711yescharacteristic
402C22×D4—474no—
403C22×D4—478no—
404C22×D4—948no—
405C22×D4—944no—
406C22×D4—944no—
407C22×D4—944no—
408C22×D4—948no—
409C22×D4—1884no—
410C23×C4—478no—
411C23×C4—474no—
412C23×C4—471no—
413C23×C4—471no—
414C23×C4—472no—
415C23×C4—472no—
416C23×C4—471no—
417C23×C4—474no—
418C23×C4—944no—
419C23×C4—944no—
420C23×C4—944no—
421C23×C4—1884no—
422C23×C4C22×D4711yescharacteristic
423C23×C4C22×D4711yescharacteristic
424C23×C4C22×D4712yes—
425#123—9432no—
426#120—9432no—
427#117—9432no—
428C2×C4⋊C4—478no—
429C2×C4⋊C4—474no—
430C2×C4⋊C4—474no—
431C2×C4⋊C4—478no—
432C2×C4⋊C4—948no—
433C2×C4⋊C4—944no—
434C2×C4⋊C4—944no—
435C2×C4⋊C4—1884no—
436C2×C22⋊C4—24no—
437C2×C22⋊C4—24no—
438C2×C22⋊C4—28no—
439C2×C22⋊C4—44no—
440C2×C22⋊C4—478no—
441C2×C22⋊C4—474no—
442C2×C22⋊C4—478no—
443C2×C22⋊C4—478no—
444C2×C22⋊C4—478no—
445C2×C22⋊C4—474no—
446C2×C22⋊C4—474no—
447C2×C22⋊C4—478no—
448C2×C22⋊C4—944no—
449C2×C22⋊C4—944no—
450C2×C22⋊C4—948no—
451C2×C22⋊C4—948no—
452C2×C22⋊C4—9432no—
453C2×C22⋊C4—948no—
454C2×C22⋊C4—1884no—
455C2×C22⋊C4C22×D4714yes—
456C2×C22⋊C4C22×D4714yes—
457C2×C22⋊C4C22×D4718yes—
458C2×C22⋊C4C22×D4718yes—
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—28no—
475C24—28no—
476C24—48no—
477C24—432no—
478C24—432no—
479C24—416no—
480C24—416no—
481C24—472no—
482C24—942no—
483C24—942no—
484C24—944no—
485C24—942no—
486C24—944no—
487C24#1062535014yes—
488C24D4×D4714yes—
489C24D4×D4714yes—
490C24#1062535218yes—
491C24C23×D4714yes—
492C24C23×D4712yes—
493C24C23×D4711yescharacteristic
494C2×D4—9416no—
495C2×D4—948no—
496C2×D4—948no—
497C2×D4—9416no—
498C2×D4—948no—
499C2×D4—1888no—
500C2×D4—18832no—
501C2×D4—18816no—
502C22×C4—24no—
503C22×C4—22no—
504C22×C4—22no—
505C22×C4—24no—
506C22×C4—24no—
507C22×C4—24no—
508C22×C4—24no—
509C22×C4—478no—
510C22×C4—474no—
511C22×C4—474no—
512C22×C4—4716no—
513C22×C4—474no—
514C22×C4—472no—
515C22×C4—472no—
516C22×C4—474no—
517C22×C4—472no—
518C22×C4—9432no—
519C22×C4—942no—
520C22×C4—942no—
521C22×C4—948no—
522C22×C4—944no—
523C22×C4—948no—
524C22×C4—942no—
525C22×C4—942no—
526C22×C4—944no—
527C22×C4—948no—
528C22×C4—944no—
529C22×C4—942no—
530C22×C4—942no—
531C22×C4—942no—
532C22×C4—944no—
533C22×C4—944no—
534C22×C4—1888no—
535C22×C4—18816no—
536C22×C4C23×D4712yes—
537C22×C4C23×D4714yes—
538C22×C4C23×D4712yes—
539C4⋊C4—9416no—
540C4⋊C4—948no—
541C4⋊C4—948no—
542C4⋊C4—1888no—
543C22⋊C4—28no—
544C22⋊C4—28no—
545C22⋊C4—216no—
546C22⋊C4—48no—
547C22⋊C4—4716no—
548C22⋊C4—948no—
549C22⋊C4—948no—
550C22⋊C4—9416no—
551C22⋊C4—9416no—
552C22⋊C4—9416no—
553C22⋊C4—1888no—
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—432no—
572C23—432no—
573C23—416no—
574C23—4128no—
575C23—48no—
576C23—48no—
577C23—416no—
578C23—48no—
579C23—48no—
580C23—942no—
581C23—942no—
582C23—944no—
583C23—942no—
584C23—944no—
585C23—1888no—
586C23—1888no—
587C23—1884no—
588C23—1884no—
589C23—1884no—
590C23#13093997116yes—
591C23C2×D4×D4714yes—
592C23C2×D4×D4714yes—
593C23C2×D4×D4712yes—
594C23C2×D4×D4712yes—
595C23C2×#1062535218yes—
596C23C2×#1062535214yes—
597C23C2×#1062535014yes—
598C23C2×#1062535012yes—
599C23#1309406914yes—
600C23C24×D4711yescharacteristic
601D4—18832no—
602D4—18816no—
603C2×C4—24no—
604C2×C4—22no—
605C2×C4—22no—
606C2×C4—24no—
607C2×C4—24no—
608C2×C4—24no—
609C2×C4—24no—
610C2×C4—48no—
611C2×C4—44no—
612C2×C4—44no—
613C2×C4—478no—
614C2×C4—474no—
615C2×C4—474no—
616C2×C4—9416no—
617C2×C4—9432no—
618C2×C4—948no—
619C2×C4—948no—
620C2×C4—942no—
621C2×C4—942no—
622C2×C4—944no—
623C2×C4—942no—
624C2×C4—942no—
625C2×C4—944no—
626C2×C4—944no—
627C2×C4—942no—
628C2×C4—942no—
629C2×C4—942no—
630C2×C4—944no—
631C2×C4—944no—
632C2×C4—18816no—
633C2×C4—1884no—
634C2×C4—1888no—
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—3768no—
650C22—1884no—
651C22—1882no—
652C22—1882no—
653C22—1884no—
654C22—1882no—
655C22C2×#1309399718yes—
656C22C2×#1309399714yes—
657C22#1568962914yes—
658C22#1568968814yes—
659C22#1568976018yes—
660C22#1568979918yes—
661C22C22×D4×D4711yescharacteristic
662C22C22×D4×D4711yescharacteristic
663C22C22×#1062535212yes—
664C22C22×#1062535011yescharacteristic
665C22C2×#1309406912yes—
666C4—44no—
667C4—42no—
668C4—42no—
669C4—948no—
670C4—944no—
671C4—944no—
672C4—1882no—
673C4—1884no—
674C2—28no—
675C2—48no—
676C2—3762no—
677C2#2024677518yesdirect product factor
678C2C22×#1309399711yescharacteristic
679C2C2×#1568962911yescharacteristic
680C2C2×#1568968811yescharacteristic
681C2C2×#1568976012yes—
682C2C2×#1568979912yes—
subgroupG/H
centerC24C23×D47
commutator, cosocleC23×C47C25
FrattiniC23C24×D47
FittingC2×C47×#379C2
socleC24×C47C24
prime radicalC22×#13093993C2
hypercenterC2×#379D47
hypocenterC47C2×#2411
LCSG ▷ C23×C47 ▷ C47
UCSC1 ◁ C24 ◁ C2×#379

Complements

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

NH ≅ G/Ntype
1. C22×#13094008C2semidirect
3. C22×#13093980C2semidirect
4. C23×C22⋊Dic47C2semidirect
5. #20246775C2direct (N × H)
6. C2×#15689046C2semidirect
7. C2×#15689038C2semidirect
8. C2×#15689023C2semidirect
9. C2×#15689016C2semidirect
10. C2×#15689000C2semidirect
11. C2×#15688995C2semidirect
12. C2×C47×#379C2semidirect
18. C2×#13094008C22semidirect
22. C2×#13093980C22semidirect
23. C22×C4⋊Dic47C22semidirect
24. C22×C4⋊Dic47C22semidirect
25. C22×Dic47⋊C4C22semidirect
26. C22×Dic47⋊C4C22semidirect
32. C22×C22⋊Dic47C22semidirect
33. C22×(C2×D47)⋊C4C22semidirect
34. C22×(C2×D47)⋊C4C22semidirect
35. C22×(C2×D47)⋊C4C22semidirect
36. C22×C4×Dic47C22semidirect
37. #15689046C22semidirect
38. #15689038C22semidirect
39. #15689023C22semidirect
40. #15689016C22semidirect
41. #15689000C22semidirect
42. #15688995C22semidirect
43. C2×C47⋊#95C22semidirect
44. C2×C47⋊#95C22semidirect
50. C47×#379C22semidirect
64. C23×Dic47D4semidirect
77. C2×C4⋊Dic47C23semidirect
78. C2×C4⋊Dic47C23semidirect
81. C2×Dic47⋊C4C23semidirect
82. C2×Dic47⋊C4C23semidirect
95. C2×(C2×D47)⋊C4C23semidirect
96. C2×(C2×D47)⋊C4C23semidirect
97. C2×(C2×D47)⋊C4C23semidirect
99. C2×C4×Dic47C23semidirect
100. C47⋊#95C23semidirect
101. C47⋊#95C23semidirect
191. C22×Dic47C2×D4semidirect
344. C2×#379D47semidirect
347. C2×C47#2411semidirect
389. #379C2×D47semidirect
392. C47C2×#2411semidirect
677. C2#20246775direct (N × H)

Maximal subgroups

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

subgroupindex
C22×#130940082
C22×#130939932
C22×#130939802
C23×C22⋊Dic472
#202467752
C2×#156890462
C2×#156890382
C2×#156890232
C2×#156890162
C2×#156890002
C2×#156889952
C2×C47×#3792
C2×#241147