Finite Group Databasebeta

← C2×#20246771 #26384899

Subgroups — C2×#20246771 #26384899

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×#13093994C211yesmaximal, characteristic
3C22×#13093980C211yesmaximal, characteristic, complemented
4C23×(C2×D47)⋊C4C211yesmaximal, characteristic, complemented
5#20246771C2116yesmaximal, direct product factor
6C2×#15689045C212yesmaximal, complemented
7C2×#15689041C212yesmaximal, complemented
8C2×#15689024C212yesmaximal, complemented
9C2×#15689015C212yesmaximal, complemented
10C2×#15689002C211yesmaximal, characteristic, complemented
11C2×#15688978C211yesmaximal, characteristic, complemented
12C2×C47×#385C211yesmaximal, characteristic, complemented
13C25×D47C2211yescharacteristic
14C23×D188C2212yes—
15C23×C22⋊D47C2211yescharacteristic
16C24×Dic47C2211yescharacteristic
17C2×#13094008—28no—
18C2×#13094008C2218yescomplemented
19C2×#13093994—28no—
20C2×#13093994C2218yes—
21C2×#13093980—28no—
22C2×#13093980C2218yescomplemented
23C22×C4⋊Dic47C2211yescharacteristic, complemented
24C22×C4⋊Dic47C2211yescharacteristic, complemented
25C22×Dic47⋊C4C2212yescomplemented
26C22×C22⋊Dic47C2211yescharacteristic
27C22×(C2×D47)⋊C4—28no—
28C22×(C2×D47)⋊C4C2212yes—
29C22×(C2×D47)⋊C4C2212yes—
30C22×(C2×D47)⋊C4C2212yes—
31C22×(C2×D47)⋊C4C2212yes—
32C22×(C2×D47)⋊C4C2212yes—
33C22×(C2×D47)⋊C4C2218yescomplemented
34C22×(C2×D47)⋊C4C2211yescharacteristic, complemented
35C22×(C2×D47)⋊C4C2211yescharacteristic, complemented
36C22×(C2×D47)⋊C4C2212yescomplemented
37C22×C4×Dic47C2212yescomplemented
38#15689045C22116yescomplemented
39#15689041C22116yescomplemented
40#15689024C22116yescomplemented
41#15689015C22116yescomplemented
42#15689002C2218yescomplemented
43#15688978C2218yescomplemented
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—28no—
53C24×D47—24no—
54C24×D47—24no—
55C24×D47—44no—
56C24×D47C2311yescharacteristic
57C24×D47C2312yes—
58C24×D47C2314yes—
59C22×D188—28no—
60C22×D188—28no—
61C22×D188—44no—
62C22×D188C2318yes—
63C22×C22⋊D47—24no—
64C22×C22⋊D47—24no—
65C22×C22⋊D47—24no—
66C22×C22⋊D47C2314yes—
67C23×Dic47—24no—
68C23×Dic47—24no—
69C23×Dic47D418yescomplemented
70C23×Dic47C2311yescharacteristic
71C23×Dic47C2312yes—
72C23×Dic47C2311yescharacteristic
73C23×Dic47C2311yescharacteristic
74C23×Dic47C2314yes—
75#13094008—232no—
76#13093994—232no—
77#13093980—232no—
78C2×C4⋊Dic47—24no—
79C2×C4⋊Dic47—24no—
80C2×C4⋊Dic47C2314yescomplemented
81C2×C4⋊Dic47C2314yescomplemented
82C2×Dic47⋊C4—28no—
83C2×Dic47⋊C4C2318yescomplemented
84C2×C22⋊Dic47—24no—
85C2×C22⋊Dic47C2314yes—
86C2×(C2×D47)⋊C4—28no—
87C2×(C2×D47)⋊C4—28no—
88C2×(C2×D47)⋊C4—28no—
89C2×(C2×D47)⋊C4—28no—
90C2×(C2×D47)⋊C4—24no—
91C2×(C2×D47)⋊C4—24no—
92C2×(C2×D47)⋊C4—232no—
93C2×(C2×D47)⋊C4—44no—
94C2×(C2×D47)⋊C4—44no—
95C2×(C2×D47)⋊C4C2318yes—
96C2×(C2×D47)⋊C4C2318yes—
97C2×(C2×D47)⋊C4C2318yes—
98C2×(C2×D47)⋊C4C2318yes—
99C2×(C2×D47)⋊C4C2318yes—
100C2×(C2×D47)⋊C4C2314yescomplemented
101C2×(C2×D47)⋊C4C2314yescomplemented
102C2×(C2×D47)⋊C4C2318yescomplemented
103C2×C4×Dic47—28no—
104C2×C4×Dic47C2318yescomplemented
105C47⋊#95C2318yescomplemented
106C25×C47C2311yescharacteristic
107C23×C4×C47—24no—
108C23×C4×C47—44no—
109C23×C4×C47C2312yes—
110C23×C4×C47C2311yescharacteristic
111C23×C4×C47C2311yescharacteristic
112C23×C4×C47C2312yes—
113C23×C4×C47C2314yes—
114C2×C4⋊C4×C47—44no—
115C2×C4⋊C4×C47C2318yescomplemented
116C2×C22⋊C4×C47—24no—
117C2×C22⋊C4×C47D418yes—
118C2×C22⋊C4×C47C2314yes—
119C2×C22⋊C4×C47C2314yes—
120#95×C47C2318yescomplemented
121C24×C47—24no—
122C24×C47—24no—
123C24×C47C2×D414yes—
124C24×C47C2×D414yes—
125C24×C47#4114yes—
126C24×C47C2412yes—
127C24×C47C2411yescharacteristic
128C23×D47—232no—
129C23×D47—28no—
130C23×D47—24no—
131C23×D47—24no—
132C23×D47—24no—
133C23×D47—24no—
134C23×D47—24no—
135C23×D47—24no—
136C23×D47—216no—
137C23×D47—22no—
138C23×D47—28no—
139C23×D47—22no—
140C23×D47—22no—
141C23×D47—24no—
142C23×D47—28no—
143C23×D47—24no—
144C23×D47—48no—
145C23×D47—432no—
146C23×D47—432no—
147C23×D47—416no—
148C23×D47—416no—
149C23×D47#4118yes—
150C23×D47C2412yes—
151C23×D47C2414yes—
152C22×C4×C47—24no—
153C22×C4×C47—24no—
154C22×C4×C47—22no—
155C22×C4×C47—22no—
156C22×C4×C47—28no—
157C22×C4×C47—24no—
158C22×C4×C47—24no—
159C22×C4×C47—24no—
160C22×C4×C47—24no—
161C22×C4×C47—24no—
162C22×C4×C47—48no—
163C22×C4×C47—416no—
164C22×C4×C47C2×D418yes—
165C22×C4×C47C2412yes—
166C22×C4×C47C2412yes—
167C22×C4×C47C2414yes—
168C22×C4×C47C2414yes—
169C2×C22⋊D47—28no—
170C2×C22⋊D47—28no—
171C2×C22⋊D47—28no—
172C2×C22⋊D47—416no—
173C22×Dic47—232no—
174C22×Dic47—22no—
175C22×Dic47—22no—
176C22×Dic47—28no—
177C22×Dic47—22no—
178C22×Dic47—22no—
179C22×Dic47—28no—
180C22×Dic47—24no—
181C22×Dic47—22no—
182C22×Dic47—22no—
183C22×Dic47—24no—
184C22×Dic47—22no—
185C22×Dic47—24no—
186C22×Dic47C2×D414yes—
187C22×Dic47C2×D414yes—
188C22×Dic47C2×D4116yescomplemented
189C22×Dic47C2412yes—
190C22×Dic47C2414yes—
191C22×Dic47C2412yes—
192C22×Dic47C2412yes—
193C2×D188—216no—
194C2×D188—216no—
195C2×D188—48no—
196C2×D188—432no—
197C4⋊C4×C47—48no—
198C22⋊C4×C47—28no—
199C22⋊C4×C47C2×D4116yes—
200C22⋊Dic47—28no—
201(C2×D47)⋊C4—216no—
202(C2×D47)⋊C4—216no—
203(C2×D47)⋊C4—216no—
204(C2×D47)⋊C4—216no—
205(C2×D47)⋊C4—28no—
206(C2×D47)⋊C4—28no—
207(C2×D47)⋊C4—48no—
208(C2×D47)⋊C4—48no—
209C4⋊Dic47—28no—
210C4⋊Dic47—28no—
211Dic47⋊C4—216no—
212C4×Dic47—216no—
213C23×C47—28no—
214C23×C47—28no—
215C23×C47—216no—
216C23×C47—216no—
217C23×C47—24no—
218C23×C47—24no—
219C23×C47#121116yes—
220C23×C47C22×D414yes—
221C23×C47C22×D412yes—
222C23×C47C22×D414yes—
223C23×C47C22×D412yes—
224C23×C47C2×#4114yes—
225C23×C47C2×#4114yes—
226C23×C47C2×#4112yes—
227C23×C47H(5,𝔽2)14yes—
228C23×C47C2511yescharacteristic
229C22×D47—232no—
230C22×D47—216no—
231C22×D47—216no—
232C22×D47—216no—
233C22×D47—24no—
234C22×D47—24no—
235C22×D47—24no—
236C22×D47—24no—
237C22×D47—24no—
238C22×D47—24no—
239C22×D47—22no—
240C22×D47—22no—
241C22×D47—24no—
242C22×D47—22no—
243C22×D47—24no—
244C22×D47—432no—
245C22×D47—432no—
246C22×D47—4128no—
247C22×D47—416no—
248C22×D47—416no—
249C22×D47—48no—
250C22×D47—48no—
251C22×D47—48no—
252C22×D47—48no—
253C22×D47—44no—
254C22×D47—44no—
255C22×D47—44no—
256C22×D47—48no—
257C22×D47—48no—
258C22×D47C2×#4118yes—
259C2×C4×C47—216no—
260C2×C4×C47—24no—
261C2×C4×C47—24no—
262C2×C4×C47—22no—
263C2×C4×C47—22no—
264C2×C4×C47—24no—
265C2×C4×C47—24no—
266C2×C4×C47—24no—
267C2×C4×C47—24no—
268C2×C4×C47—24no—
269C2×C4×C47—416no—
270C2×C4×C47—44no—
271C2×C4×C47—44no—
272C2×C4×C47—48no—
273C2×C4×C47C22×D418yes—
274C22⋊D47—416no—
275C2×Dic47—28no—
276C2×Dic47—28no—
277C2×Dic47—232no—
278C2×Dic47—22no—
279C2×Dic47—22no—
280C2×Dic47—22no—
281C2×Dic47—22no—
282C2×Dic47—24no—
283C2×Dic47—22no—
284C2×Dic47—22no—
285C2×Dic47—24no—
286C2×Dic47—22no—
287C2×Dic47—24no—
288C2×Dic47—44no—
289C2×Dic47—48no—
290C2×Dic47C22×D414yes—
291C2×Dic47C22×D414yes—
292D188—432no—
293C2×#2411—471nomaximal, Sylow
294C22×C47—232no—
295C22×C47—24no—
296C22×C47—24no—
297C22×C47—28no—
298C22×C47—28no—
299C22×C47C2×#12118yes—
300C22×C47C2×#12114yes—
301C22×C47#52514yes—
302C22×C47#53514yes—
303C22×C47#54618yes—
304C22×C47#55118yes—
305C22×C47C23×D411yescharacteristic
306C22×C47C23×D411yescharacteristic
307C22×C47C22×#4112yes—
308C22×C47C22×#4111yescharacteristic
309C22×C47C2×H(5,𝔽2)12yes—
310C2×D47—28no—
311C2×D47—28no—
312C2×D47—28no—
313C2×D47—464no—
314C2×D47—44no—
315C2×D47—432no—
316C2×D47—44no—
317C2×D47—44no—
318C2×D47—44no—
319C2×D47—42no—
320C2×D47—42no—
321C2×D47—42no—
322C2×D47—44no—
323C2×D47—44no—
324C2×D47—88no—
325C4×C47—28no—
326C4×C47—42no—
327C4×C47—42no—
328C4×C47—44no—
329Dic47—24no—
330Dic47—24no—
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×#385D4711yescharacteristic, complemented
344C2×#379—471no—
345C2×C47—28no—
346C2×C47#241118yescomplemented
347C2×C47C22×#12111yescharacteristic
348C2×C47C2×#52511yescharacteristic
349C2×C47C2×#53511yescharacteristic
350C2×C47C2×#54612yes—
351C2×C47C2×#55112yes—
352D47—48no—
353D47—82no—
354C26—471no—
355C23×D4—471no—
356C23×D4—472no—
357C24×C4—471no—
358C24×C4C2×D4711yescharacteristic
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⋊C4C2×D4712yescomplemented
369C22×C22⋊C4—471no—
370C22×C22⋊C4—471no—
371C22×C22⋊C4—472no—
372C22×C22⋊C4—472no—
373C22×C22⋊C4—472no—
374C22×C22⋊C4—472no—
375C22×C22⋊C4—478no—
376C22×C22⋊C4—471no—
377C22×C22⋊C4—472no—
378C22×C22⋊C4—472no—
379C22×C22⋊C4—948no—
380C22×C22⋊C4C2×D4711yescharacteristic
381C22×C22⋊C4C2×D4711yescharacteristic
382C22×C42—472no—
383#396—4716no—
384#394—4716no—
385#390—4716no—
386#388—4716no—
387#386—478no—
388#385C2×D4718yescomplemented
389#379—478no—
390C2×#95—472no—
391C2×#95C2×D4712yescomplemented
392C47C2×#241111yescharacteristic, complemented, Sylow
393C25—472no—
394C25—471no—
395C25—474no—
396C25—948no—
397C25—944no—
398C25—944no—
399C25—944no—
400C25—1884no—
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—24no—
411C23×C4—44no—
412C23×C4—478no—
413C23×C4—474no—
414C23×C4—471no—
415C23×C4—471no—
416C23×C4—472no—
417C23×C4—471no—
418C23×C4—944no—
419C23×C4—944no—
420C23×C4C22×D4711yescharacteristic
421C23×C4C22×D4711yescharacteristic
422C23×C4C22×D4712yes—
423C23×C4C22×D4712yes—
424C23×C4C22×D4714yes—
425#123—9432no—
426#120—9432no—
427#117—9432no—
428C2×C4⋊C4—44no—
429C2×C4⋊C4—478no—
430C2×C4⋊C4—474no—
431C2×C4⋊C4—474no—
432C2×C4⋊C4—944no—
433C2×C4⋊C4—944no—
434C2×C4⋊C4—948no—
435C2×C4⋊C4C22×D4718yescomplemented
436C2×C22⋊C4—24no—
437C2×C22⋊C4—474no—
438C2×C22⋊C4—478no—
439C2×C22⋊C4—478no—
440C2×C22⋊C4—478no—
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—948no—
452C2×C22⋊C4—944no—
453C2×C22⋊C4—948no—
454C2×C22⋊C4—1884no—
455C2×C22⋊C4—1884no—
456C2×C22⋊C4D18818yes—
457C2×C22⋊C4C22×D4714yes—
458C2×C22⋊C4C22×D4714yes—
459C2×C42—478no—
460C2×C42—948no—
461#95—478no—
462#95C22×D4718yescomplemented
463C24—24no—
464C24—24no—
465C24—478no—
466C24—474no—
467C24—472no—
468C24—9416no—
469C24—9432no—
470C24—948no—
471C24—944no—
472C24—944no—
473C24—944no—
474C24—944no—
475C24—944no—
476C24—944no—
477C24—942no—
478C24—948no—
479C24—942no—
480C24—944no—
481C24—942no—
482C24—948no—
483C24—944no—
484C24—1888no—
485C24—18832no—
486C24—18832no—
487C24—18816no—
488C24—18816no—
489C24C2×D18814yes—
490C24D4×D4714yes—
491C24#1062535414yes—
492C24C23×D4712yes—
493C24C23×D4711yescharacteristic
494C2×D4—9416no—
495C2×D4—948no—
496C2×D4—948no—
497C2×D4—948no—
498C2×D4—9416no—
499C2×D4—1888no—
500C2×D4—18832no—
501C2×D4—18816no—
502C22×C4—24no—
503C22×C4—24no—
504C22×C4—22no—
505C22×C4—22no—
506C22×C4—28no—
507C22×C4—24no—
508C22×C4—24no—
509C22×C4—24no—
510C22×C4—24no—
511C22×C4—24no—
512C22×C4—48no—
513C22×C4—416no—
514C22×C4—474no—
515C22×C4—474no—
516C22×C4—4716no—
517C22×C4—472no—
518C22×C4—472no—
519C22×C4—472no—
520C22×C4—474no—
521C22×C4—9432no—
522C22×C4—942no—
523C22×C4—942no—
524C22×C4—948no—
525C22×C4—948no—
526C22×C4—942no—
527C22×C4—942no—
528C22×C4—942no—
529C22×C4—944no—
530C22×C4—942no—
531C22×C4—944no—
532C22×C4—942no—
533C22×C4—944no—
534C22×C4C2×D18818yes—
535C22×C4C23×D4714yes—
536C22×C4C23×D4712yes—
537C22×C4C23×D4712yes—
538C22×C4C23×D4714yes—
539C4⋊C4—48no—
540C4⋊C4—948no—
541C4⋊C4—948no—
542C4⋊C4—9416no—
543C22⋊C4—28no—
544C22⋊C4—9416no—
545C22⋊C4—9416no—
546C22⋊C4—948no—
547C22⋊C4—948no—
548C22⋊C4—9416no—
549C22⋊C4—948no—
550C22⋊C4—9416no—
551C22⋊C4—1888no—
552C22⋊C4—1888no—
553C22⋊C4C2×D188116yes—
554C42—9416no—
555C23—216no—
556C23—216no—
557C23—28no—
558C23—28no—
559C23—24no—
560C23—24no—
561C23—478no—
562C23—9432no—
563C23—9416no—
564C23—9416no—
565C23—9416no—
566C23—944no—
567C23—944no—
568C23—944no—
569C23—944no—
570C23—944no—
571C23—944no—
572C23—942no—
573C23—942no—
574C23—944no—
575C23—942no—
576C23—944no—
577C23—18832no—
578C23—18832no—
579C23—18816no—
580C23—188128no—
581C23—1888no—
582C23—1888no—
583C23—1884no—
584C23—1884no—
585C23—1884no—
586C23—1888no—
587C23—1888no—
588C23—18816no—
589C23—1888no—
590C23—1888no—
591C23#13093999116yes—
592C23C2×D4×D4714yes—
593C23C2×D4×D4712yes—
594C23C22×D18814yes—
595C23C22×D18812yes—
596C23#41×D4714yes—
597C23C2×#1062535414yes—
598C23C2×#1062535412yes—
599C23#1309406914yes—
600C23C24×D4711yescharacteristic
601D4—18832no—
602D4—18816no—
603C2×C4—216no—
604C2×C4—24no—
605C2×C4—24no—
606C2×C4—22no—
607C2×C4—22no—
608C2×C4—24no—
609C2×C4—24no—
610C2×C4—24no—
611C2×C4—24no—
612C2×C4—24no—
613C2×C4—416no—
614C2×C4—44no—
615C2×C4—44no—
616C2×C4—48no—
617C2×C4—474no—
618C2×C4—474no—
619C2×C4—9432no—
620C2×C4—948no—
621C2×C4—948no—
622C2×C4—942no—
623C2×C4—942no—
624C2×C4—942no—
625C2×C4—942no—
626C2×C4—942no—
627C2×C4—944no—
628C2×C4—942no—
629C2×C4—944no—
630C2×C4—942no—
631C2×C4—944no—
632C2×C4—1888no—
633C2×C4—1884no—
634C2×C4C22×D18818yes—
635C22—28no—
636C22—24no—
637C22—28no—
638C22—24no—
639C22—232no—
640C22—948no—
641C22—948no—
642C22—948no—
643C22—3768no—
644C22—18864no—
645C22—1884no—
646C22—1882no—
647C22—1882no—
648C22—1884no—
649C22—1882no—
650C22—1884no—
651C22—1884no—
652C22—1884no—
653C22—1884no—
654C22—18832no—
655C22C2×#1309399918yes—
656C22C2×#1309399914yes—
657C22#1568963114yes—
658C22#1568968814yes—
659C22#1568976818yes—
660C22#1568980018yes—
661C22C22×D4×D4711yescharacteristic
662C22C23×D18811yescharacteristic
663C22C2×#41×D4712yes—
664C22C22×#1062535411yescharacteristic
665C22C2×#1309406912yes—
666C4—28no—
667C4—42no—
668C4—44no—
669C4—42no—
670C4—944no—
671C4—944no—
672C4—1884no—
673C4—1882no—
674C2—28no—
675C2—3762no—
676C2—1888no—
677C2#2024677118yesdirect product factor
678C2C22×#1309399911yescharacteristic
679C2C2×#1568963111yescharacteristic
680C2C2×#1568968811yescharacteristic
681C2C2×#1568976812yes—
682C2C2×#1568980012yes—
subgroupG/H
centerC24C23×D47
commutator, cosocleC23×C47C25
FrattiniC23C24×D47
FittingC2×C47×#385C2
socleC24×C47C24
prime radicalC22×#13093994C2
hypercenterC2×#385D47
hypocenterC47C2×#2411
LCSG ▷ C23×C47 ▷ C47
UCSC1 ◁ C24 ◁ C2×#385

Complements

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

NH ≅ G/Ntype
1. C22×#13094008C2semidirect
3. C22×#13093980C2semidirect
4. C23×(C2×D47)⋊C4C2semidirect
5. #20246771C2direct (N × H)
6. C2×#15689045C2semidirect
7. C2×#15689041C2semidirect
8. C2×#15689024C2semidirect
9. C2×#15689015C2semidirect
10. C2×#15689002C2semidirect
11. C2×#15688978C2semidirect
12. C2×C47×#385C2semidirect
18. C2×#13094008C22semidirect
22. C2×#13093980C22semidirect
23. C22×C4⋊Dic47C22semidirect
24. C22×C4⋊Dic47C22semidirect
25. C22×Dic47⋊C4C22semidirect
33. C22×(C2×D47)⋊C4C22semidirect
34. C22×(C2×D47)⋊C4C22semidirect
35. C22×(C2×D47)⋊C4C22semidirect
36. C22×(C2×D47)⋊C4C22semidirect
37. C22×C4×Dic47C22semidirect
38. #15689045C22semidirect
39. #15689041C22semidirect
40. #15689024C22semidirect
41. #15689015C22semidirect
42. #15689002C22semidirect
43. #15688978C22semidirect
44. C2×C47⋊#95C22semidirect
46. C22×C4⋊C4×C47C22semidirect
49. C47×#385C22semidirect
50. C2×#95×C47C22semidirect
69. C23×Dic47D4semidirect
80. C2×C4⋊Dic47C23semidirect
81. C2×C4⋊Dic47C23semidirect
83. C2×Dic47⋊C4C23semidirect
100. C2×(C2×D47)⋊C4C23semidirect
101. C2×(C2×D47)⋊C4C23semidirect
102. C2×(C2×D47)⋊C4C23semidirect
104. C2×C4×Dic47C23semidirect
105. C47⋊#95C23semidirect
115. C2×C4⋊C4×C47C23semidirect
120. #95×C47C23semidirect
188. C22×Dic47C2×D4semidirect
343. C2×#385D47semidirect
346. C2×C47#2411semidirect
368. C22×C4⋊C4C2×D47semidirect
388. #385C2×D47semidirect
391. C2×#95C2×D47semidirect
392. C47C2×#2411semidirect
435. C2×C4⋊C4C22×D47semidirect
462. #95C22×D47semidirect
677. C2#20246771direct (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×#130939942
C22×#130939802
C23×(C2×D47)⋊C42
#202467712
C2×#156890452
C2×#156890412
C2×#156890242
C2×#156890152
C2×#156890022
C2×#156889782
C2×C47×#3852
C2×#241147