Finite Group Databasebeta

← C2×C4×#13093995 #26374698

Subgroups — C2×C4×#13093995 #26374698

Order 12032.

5022 conjugacy classes of subgroups.

The subgroup lattice has 680 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×#13093995C211yesmaximal, characteristic
2C22×C4×C22⋊D47C212yesmaximal, complemented
3C22×C42×D47C211yesmaximal, characteristic, complemented
4C4×#13093995C2116yesmaximal, direct product factor
5C2×#15689026C211yesmaximal, characteristic, complemented
6C2×#15689019C211yesmaximal, characteristic, complemented
7C2×#15689011C212yesmaximal, complemented
8C2×#15688999C212yesmaximal, complemented
9C2×#15688980C211yesmaximal, characteristic, complemented
10C2×C4×C4⋊Dic47C211yesmaximal, characteristic, complemented
11C2×C4×C22⋊Dic47C212yesmaximal, complemented
12C22×C4×D4×C47C211yesmaximal, characteristic, complemented
13C23×C22⋊D47C2212yes—
14C23×C4×D47C2211yescharacteristic
15C23×C4×D47C2211yescharacteristic
16C23×C4×D47C2211yescharacteristic
17C2×#13093995C4116yesdirect product factor
18C2×#13093995C2218yes—
19C2×C4×C22⋊D47—216no—
20C2×C4×C22⋊D47C22116yescomplemented
21C22×C4⋊Dic47C2211yescharacteristic
22C22×C4⋊Dic47C2211yescharacteristic
23C22×Dic47⋊C4C2212yes—
24C22×C22⋊Dic47C2212yes—
25C22×C22⋊Dic47C2212yes—
26C22×C22⋊Dic47C2212yes—
27C22×(C2×D47)⋊C4C2212yes—
28C22×C4×Dic47C2211yescharacteristic
29C22×C4×Dic47C2211yescharacteristic
30C22×C4×Dic47C2211yescharacteristic
31C22×C4×Dic47C2212yes—
32C2×C42×D47—28no—
33C2×C42×D47C2218yescomplemented
34#15689026C2218yescomplemented
35#15689019C2218yescomplemented
36#15689011C22116yescomplemented
37#15688999C22116yescomplemented
38#15688980C2218yescomplemented
39C4×C4⋊Dic47C2218yescomplemented
40C4×C22⋊Dic47C22116yescomplemented
41C2×C47⋊#95C2212yes—
42C2×C47⋊#95C2212yes—
43C2×C47⋊#95C2212yes—
44C23×D4×C47C2211yescharacteristic
45C24×C4×C47C2212yes—
46C2×C4×D4×C47—28no—
47C2×C4×D4×C47C2218yescomplemented
48C22×C4⋊C4×C47C2211yescharacteristic
49C22×C22⋊C4×C47C2212yes—
50C22×C42×C47C2211yescharacteristic
51C24×D47C2311yescharacteristic
52C22×C22⋊D47—28no—
53C22×C22⋊D47—28no—
54C22×C22⋊D47C2×C4116yescomplemented
55C22×C22⋊D47C2318yes—
56C23×Dic47C2312yes—
57C23×Dic47C2311yescharacteristic
58C23×Dic47C2312yes—
59C23×Dic47C2311yescharacteristic
60C23×Dic47C2311yescharacteristic
61C22×C4×D47—24no—
62C22×C4×D47—24no—
63C22×C4×D47—24no—
64C22×C4×D47—24no—
65C22×C4×D47—24no—
66C22×C4×D47—24no—
67C22×C4×D47—24no—
68C22×C4×D47C2×C418yescomplemented
69C22×C4×D47D418yescomplemented
70C22×C4×D47C2314yes—
71C22×C4×D47C2314yes—
72C22×C4×D47C2314yes—
73#13093995C2×C4164yesdirect product factor
74C4×C22⋊D47—264no—
75C2×C4⋊Dic47—24no—
76C2×C4⋊Dic47C2×C418yescomplemented
77C2×C4⋊Dic47C2314yes—
78C2×C4⋊Dic47C2314yes—
79C2×Dic47⋊C4—28no—
80C2×Dic47⋊C4C2318yes—
81C2×C22⋊Dic47—28no—
82C2×C22⋊Dic47—28no—
83C2×C22⋊Dic47C2×C4116yescomplemented
84C2×C22⋊Dic47C2318yes—
85C2×C22⋊Dic47C2318yes—
86C2×C22⋊Dic47C2318yes—
87C2×(C2×D47)⋊C4—28no—
88C2×(C2×D47)⋊C4C2318yes—
89C2×C4×Dic47—24no—
90C2×C4×Dic47—24no—
91C2×C4×Dic47—24no—
92C2×C4×Dic47—28no—
93C2×C4×Dic47C2314yes—
94C2×C4×Dic47C2318yes—
95C2×C4×Dic47C2314yes—
96C2×C4×Dic47C2314yes—
97C42×D47—232no—
98C47⋊#95C2318yes—
99C47⋊#95C2318yes—
100C47⋊#95C2318yes—
101C25×C47C2312yes—
102C22×D4×C47—24no—
103C22×D4×C47—24no—
104C22×D4×C47C2×C418yescomplemented
105C22×D4×C47C2314yes—
106C23×C4×C47—28no—
107C23×C4×C47—28no—
108C23×C4×C47—28no—
109C23×C4×C47C2312yes—
110C23×C4×C47C2318yes—
111C23×C4×C47C2311yescharacteristic
112C23×C4×C47C2311yescharacteristic
113C23×C4×C47C2311yescharacteristic
114C4×D4×C47—232no—
115C2×C4⋊C4×C47—24no—
116C2×C4⋊C4×C47C2314yes—
117C2×C22⋊C4×C47—28no—
118C2×C22⋊C4×C47C2318yes—
119C2×C42×C47D418yescomplemented
120C2×C42×C47C2314yes—
121C24×C47—24no—
122C24×C47—24no—
123C24×C47—24no—
124C24×C47—24no—
125C24×C47—24no—
126C24×C47—24no—
127C24×C47C22×C418yes—
128C24×C47C2414yes—
129C24×C47C2411yescharacteristic
130C23×D47—22no—
131C23×D47—22no—
132C23×D47—22no—
133C23×D47—22no—
134C23×D47C22×C414yes—
135C23×D47C2×D414yes—
136C23×D47#4114yes—
137C23×D47C2412yes—
138C2×D4×C47—232no—
139C2×D4×C47—28no—
140C2×D4×C47—28no—
141C2×D4×C47C22×C4116yescomplemented
142C22×C4×C47—22no—
143C22×C4×C47—22no—
144C22×C4×C47—24no—
145C22×C4×C47—24no—
146C22×C4×C47—24no—
147C22×C4×C47—216no—
148C22×C4×C47—216no—
149C22×C4×C47—216no—
150C22×C4×C47—432no—
151C22×C4×C47C22×C414yes—
152C22×C4×C47C2×D414yes—
153C22×C4×C47C2×D414yes—
154C22×C4×C47C2×D414yes—
155C22×C4×C47C2×D414yes—
156C22×C4×C47#4114yes—
157C22×C4×C47#4114yes—
158C22×C4×C47C2414yes—
159C22×C4×C47C2412yes—
160C22×C4×C47C2412yes—
161C22×C4×C47C2412yes—
162C2×C22⋊D47—264no—
163C2×C22⋊D47—216no—
164C2×C22⋊D47—216no—
165C2×C22⋊D47C22×C4132yescomplemented
166C22×Dic47—22no—
167C22×Dic47—22no—
168C22×Dic47—22no—
169C22×Dic47—24no—
170C22×Dic47—22no—
171C22×Dic47—22no—
172C22×Dic47—22no—
173C22×Dic47—24no—
174C22×Dic47—24no—
175C22×Dic47—24no—
176C22×Dic47—24no—
177C22×Dic47C22×C414yes—
178C22×Dic47C22×C418yes—
179C22×Dic47C2×D414yes—
180C22×Dic47#4114yes—
181C22×Dic47C2414yes—
182C22×Dic47C2412yes—
183C22×Dic47C2414yes—
184C22×Dic47C2412yes—
185C22×Dic47C2412yes—
186C2×C4×D47—232no—
187C2×C4×D47—28no—
188C2×C4×D47—232no—
189C2×C4×D47—232no—
190C2×C4×D47—28no—
191C2×C4×D47—28no—
192C2×C4×D47—28no—
193C2×C4×D47—28no—
194C2×C4×D47—28no—
195C2×C4×D47—28no—
196C2×C4×D47C22×C4116yescomplemented
197C2×C4×D47C2×D4116yescomplemented
198C4⋊C4×C47—28no—
199C22⋊C4×C47—216no—
200C42×C47C2×D4116yescomplemented
201C22⋊Dic47—216no—
202C22⋊Dic47—216no—
203C22⋊Dic47C22×C4132yescomplemented
204(C2×D47)⋊C4—216no—
205C4⋊Dic47—28no—
206C4⋊Dic47C22×C4116yescomplemented
207Dic47⋊C4—216no—
208C4×Dic47—28no—
209C4×Dic47—28no—
210C4×Dic47—28no—
211C4×Dic47—216no—
212C23×C47—216no—
213C23×C47—216no—
214C23×C47—216no—
215C23×C47—24no—
216C23×C47—24no—
217C23×C47—24no—
218C23×C47—24no—
219C23×C47—24no—
220C23×C47—24no—
221C23×C47—48no—
222C23×C47—48no—
223C23×C47—48no—
224C23×C47—48no—
225C23×C47C23×C418yes—
226C23×C47C23×C412yes—
227C23×C47C22×D412yes—
228C23×C47C22×D412yes—
229C23×C47C2×#4112yes—
230C23×C47C2×#4112yes—
231C23×C47C2×#4112yes—
232C23×C47C2×#4112yes—
233C23×C47C2511yescharacteristic
234C22×D47—28no—
235C22×D47—28no—
236C22×D47—28no—
237C22×D47—28no—
238C22×D47—28no—
239C22×D47—28no—
240C22×D47—22no—
241C22×D47—22no—
242C22×D47—22no—
243C22×D47—22no—
244C22×D47C4×D4116yescomplemented
245C22×D47C23×C414yes—
246C22×D47C22×D414yes—
247C22×D47C2×#4114yes—
248D4×C47—232no—
249C2×C4×C47—28no—
250C2×C4×C47—22no—
251C2×C4×C47—22no—
252C2×C4×C47—24no—
253C2×C4×C47—24no—
254C2×C4×C47—24no—
255C2×C4×C47—48no—
256C2×C4×C47—432no—
257C2×C4×C47C4×D4116yescomplemented
258C2×C4×C47#121116yescomplemented
259C2×C4×C47C23×C414yes—
260C2×C4×C47C22×D414yes—
261C2×C4×C47C22×D414yes—
262C2×C4×C47C22×D414yes—
263C2×C4×C47C22×D414yes—
264C2×C4×C47C2×#4114yes—
265C2×C4×C47C2×#4114yes—
266C22⋊D47—264no—
267C2×Dic47—28no—
268C2×Dic47—216no—
269C2×Dic47—28no—
270C2×Dic47—28no—
271C2×Dic47—22no—
272C2×Dic47—22no—
273C2×Dic47—22no—
274C2×Dic47—24no—
275C2×Dic47—22no—
276C2×Dic47—22no—
277C2×Dic47—22no—
278C2×Dic47—24no—
279C2×Dic47—24no—
280C2×Dic47—24no—
281C2×Dic47—24no—
282C2×Dic47—48no—
283C2×Dic47C23×C418yes—
284C2×Dic47C23×C414yes—
285C2×Dic47C22×D414yes—
286C2×Dic47C2×#4114yes—
287C4×D47—232no—
288C4×D47—232no—
289C4×D47—232no—
290C2×C4×#121—471nomaximal, Sylow
291C22×C47—28no—
292C22×C47—28no—
293C22×C47—28no—
294C22×C47—44no—
295C22×C47—44no—
296C22×C47—44no—
297C22×C47—44no—
298C22×C47—432no—
299C22×C47C2×C4×D414yes—
300C22×C47C2×C4×D414yes—
301C22×C47C4×#4114yes—
302C22×C47C2×#12114yes—
303C22×C47#52514yes—
304C22×C47#52914yes—
305C22×C47#53214yes—
306C22×C47C24×C411yescharacteristic
307C22×C47C23×D411yescharacteristic
308C22×C47C23×D411yescharacteristic
309C22×C47C22×#4111yescharacteristic
310C22×C47C22×#4111yescharacteristic
311C22×C47C22×#4111yescharacteristic
312C22×C47C22×#4111yescharacteristic
313C2×D47—24no—
314C2×D47—24no—
315C2×D47—24no—
316C2×D47—24no—
317C2×D47—24no—
318C2×D47—24no—
319C2×D47—232no—
320C2×D47C2×C4×D418yescomplemented
321C4×C47—24no—
322C4×C47—44no—
323C4×C47C2×C4×D418yescomplemented
324C4×C47C2×#12118yescomplemented
325Dic47—24no—
326Dic47—28no—
327Dic47—24no—
328Dic47—24no—
329Dic47—44no—
330C22×#121—471no—
331C22×C4×D4—472no—
332C22×C4×D4D4711yescharacteristic, complemented
333C23×C42—471no—
334C4×#121—4716no—
335C2×#390—471no—
336C2×#389—471no—
337C2×#388—472no—
338C2×#386—472no—
339C2×#380—471no—
340C2×C4×C4⋊C4—471no—
341C2×C4×C22⋊C4—472no—
342C2×C47—48no—
343C2×C47C4×#12118yescomplemented
344C2×C47C22×C4×D411yescharacteristic
345C2×C47C22×C4×D411yescharacteristic
346C2×C47C2×C4×#4111yescharacteristic
347C2×C47C22×#12111yescharacteristic
348C2×C47C2×#52511yescharacteristic
349C2×C47C2×#52911yescharacteristic
350C2×C47C2×#53211yescharacteristic
351D47—28no—
352C23×D4—472no—
353C23×D4C2×D4711yescharacteristic
354C24×C4—471no—
355C24×C4—471no—
356C24×C4—471no—
357C24×C4C2×D4712yes—
358C2×#121—4716no—
359C2×#121—478no—
360C2×C4×D4—28no—
361C2×C4×D4—4716no—
362C2×C4×D4—9416no—
363C2×C4×D4C2×D4718yescomplemented
364C22×C4⋊C4—471no—
365C22×C4⋊C4—472no—
366C22×C4⋊C4—471no—
367C22×C4⋊C4C2×D4711yescharacteristic
368C22×C22⋊C4—472no—
369C22×C22⋊C4—472no—
370C22×C22⋊C4—472no—
371C22×C22⋊C4—472no—
372C22×C22⋊C4C2×D4712yes—
373C22×C42—471no—
374C22×C42—471no—
375C22×C42—471no—
376C22×C42—472no—
377C22×C42—478no—
378C22×C42—948no—
379C22×C42C2×D4711yescharacteristic
380#390—478no—
381#389—478no—
382#388—4716no—
383#386—4716no—
384#380—478no—
385C4×C4⋊C4—478no—
386C4×C22⋊C4—4716no—
387C2×#95—472no—
388C2×#95—472no—
389C2×#95—472no—
390C47C2×C4×#12111yescharacteristic, complemented, Sylow
391C25—471no—
392C25C22×D4712yes—
393C22×D4—24no—
394C22×D4—24no—
395C22×D4—4716no—
396C22×D4—478no—
397C22×D4—948no—
398C22×D4—948no—
399C22×D4C4×D4718yescomplemented
400C22×D4C22×D4714yes—
401C23×C4—28no—
402C23×C4—28no—
403C23×C4—28no—
404C23×C4—471no—
405C23×C4—471no—
406C23×C4—471no—
407C23×C4—472no—
408C23×C4—478no—
409C23×C4—478no—
410C23×C4—474no—
411C23×C4—474no—
412C23×C4—472no—
413C23×C4—474no—
414C23×C4—944no—
415C23×C4—944no—
416C23×C4—944no—
417C23×C4—944no—
418C23×C4—944no—
419C23×C4—944no—
420C23×C4—944no—
421C23×C4C22×D4712yes—
422C23×C4C22×D4718yes—
423C23×C4C22×D4711yescharacteristic
424C23×C4C22×D4711yescharacteristic
425C23×C4C22×D4711yescharacteristic
426#121—4764no—
427C4×D4—232no—
428C4×D4—9464no—
429C2×C4⋊C4—24no—
430C2×C4⋊C4—478no—
431C2×C4⋊C4—474no—
432C2×C4⋊C4—478no—
433C2×C4⋊C4—474no—
434C2×C4⋊C4—948no—
435C2×C4⋊C4—944no—
436C2×C4⋊C4C22×D4714yes—
437C2×C22⋊C4—28no—
438C2×C22⋊C4—4716no—
439C2×C22⋊C4—478no—
440C2×C22⋊C4—478no—
441C2×C22⋊C4—478no—
442C2×C22⋊C4—478no—
443C2×C22⋊C4—948no—
444C2×C22⋊C4—948no—
445C2×C22⋊C4—948no—
446C2×C22⋊C4C22×D4718yes—
447C2×C42—478no—
448C2×C42—474no—
449C2×C42—474no—
450C2×C42—474no—
451C2×C42—948no—
452C2×C42—944no—
453C2×C42—944no—
454C2×C42—944no—
455C2×C42—9432no—
456C2×C42C22⋊D4718yescomplemented
457C2×C42C22×D4714yes—
458#95—478no—
459#95—478no—
460#95—478no—
461C24—24no—
462C24—24no—
463C24—24no—
464C24—24no—
465C24—24no—
466C24—24no—
467C24—474no—
468C24—474no—
469C24—474no—
470C24—472no—
471C24—942no—
472C24—942no—
473C24—942no—
474C24—942no—
475C24C2×C4×D4718yes—
476C24C23×D4714yes—
477C24C23×D4711yescharacteristic
478C2×D4—232no—
479C2×D4—28no—
480C2×D4—28no—
481C2×D4—4732no—
482C2×D4—9416no—
483C2×D4—9464no—
484C2×D4—9416no—
485C2×D4C2×C4×D47116yescomplemented
486C22×C4—22no—
487C22×C4—22no—
488C22×C4—24no—
489C22×C4—24no—
490C22×C4—24no—
491C22×C4—216no—
492C22×C4—216no—
493C22×C4—216no—
494C22×C4—432no—
495C22×C4—474no—
496C22×C4—478no—
497C22×C4—474no—
498C22×C4—474no—
499C22×C4—472no—
500C22×C4—472no—
501C22×C4—474no—
502C22×C4—472no—
503C22×C4—4716no—
504C22×C4—4716no—
505C22×C4—474no—
506C22×C4—948no—
507C22×C4—948no—
508C22×C4—9432no—
509C22×C4—944no—
510C22×C4—942no—
511C22×C4—942no—
512C22×C4—942no—
513C22×C4—942no—
514C22×C4—944no—
515C22×C4—942no—
516C22×C4—942no—
517C22×C4—9432no—
518C22×C4—9432no—
519C22×C4—948no—
520C22×C4—948no—
521C22×C4—948no—
522C22×C4—948no—
523C22×C4—948no—
524C22×C4—944no—
525C22×C4—944no—
526C22×C4—944no—
527C22×C4C2×C4×D4714yes—
528C22×C4#1062535014yes—
529C22×C4D4×D4714yes—
530C22×C4#1062535214yes—
531C22×C4C2×C22⋊D4714yes—
532C22×C4C2×C22⋊D4714yes—
533C22×C4C2×C22⋊D4714yes—
534C22×C4C23×D4714yes—
535C22×C4C23×D4712yes—
536C22×C4C23×D4712yes—
537C22×C4C23×D4712yes—
538C4⋊C4—28no—
539C4⋊C4—4716no—
540C4⋊C4—9416no—
541C4⋊C4—948no—
542C22⋊C4—216no—
543C22⋊C4—4732no—
544C22⋊C4—9416no—
545C22⋊C4—9416no—
546C22⋊C4—9416no—
547C42—9416no—
548C42—948no—
549C42—948no—
550C42—948no—
551C42C2×C22⋊D47116yescomplemented
552C23—216no—
553C23—216no—
554C23—216no—
555C23—24no—
556C23—24no—
557C23—24no—
558C23—24no—
559C23—24no—
560C23—24no—
561C23—48no—
562C23—48no—
563C23—48no—
564C23—48no—
565C23—4716no—
566C23—474no—
567C23—474no—
568C23—474no—
569C23—948no—
570C23—948no—
571C23—948no—
572C23—948no—
573C23—948no—
574C23—948no—
575C23—942no—
576C23—942no—
577C23—942no—
578C23—942no—
579C23C22×C4×D4718yes—
580C23C22×C4×D4712yes—
581C23C2×D4×D4712yes—
582C23C22×C22⋊D4712yes—
583C23#41×D4712yes—
584C23#41×D4712yes—
585C23C2×#1062535212yes—
586C23C2×#1062535012yes—
587C23C24×D4711yescharacteristic
588D4—232no—
589D4—9464no—
590C2×C4—28no—
591C2×C4—22no—
592C2×C4—22no—
593C2×C4—24no—
594C2×C4—24no—
595C2×C4—24no—
596C2×C4—48no—
597C2×C4—432no—
598C2×C4—474no—
599C2×C4—478no—
600C2×C4—474no—
601C2×C4—474no—
602C2×C4—9432no—
603C2×C4—9416no—
604C2×C4—948no—
605C2×C4—948no—
606C2×C4—948no—
607C2×C4—944no—
608C2×C4—942no—
609C2×C4—942no—
610C2×C4—942no—
611C2×C4—942no—
612C2×C4—944no—
613C2×C4—942no—
614C2×C4—942no—
615C2×C4—9432no—
616C2×C4—9432no—
617C2×C4—944no—
618C2×C4—944no—
619C2×C4—944no—
620C2×C4—1888no—
621C2×C4C4×C22⋊D47116yescomplemented
622C2×C4#13093995116yesdirect product factor
623C2×C4C22×C4×D4714yes—
624C2×C4C2×D4×D4714yes—
625C2×C4C22×C22⋊D4714yes—
626C2×C4C22×C22⋊D4714yes—
627C2×C4C22×C22⋊D4714yes—
628C2×C4C2×#1062535214yes—
629C2×C4C2×#1062535014yes—
630C22—28no—
631C22—28no—
632C22—28no—
633C22—44no—
634C22—44no—
635C22—432no—
636C22—44no—
637C22—44no—
638C22—478no—
639C22—944no—
640C22—944no—
641C22—944no—
642C22—944no—
643C22—9432no—
644C22—944no—
645C22—944no—
646C22C4×D4×D4714yes—
647C22C2×C4×C22⋊D4714yes—
648C22C4×#1062535214yes—
649C22C2×#1309399514yes—
650C22#1568963014yes—
651C22#1568965514yes—
652C22#1568967014yes—
653C22C23×C4×D4711yescharacteristic
654C22C22×D4×D4711yescharacteristic
655C22C23×C22⋊D4711yescharacteristic
656C22C2×#41×D4711yescharacteristic
657C22C2×#41×D4711yescharacteristic
658C22C22×#1062535211yescharacteristic
659C22C22×#1062535011yescharacteristic
660C4—24no—
661C4—44no—
662C4—948no—
663C4—944no—
664C4—944no—
665C4—944no—
666C4—1884no—
667C4C2×C4×C22⋊D4718yescomplemented
668C4C2×#1309399518yesdirect product factor
669C2—48no—
670C2—948no—
671C2C4×#1309399518yesdirect product factor
672C2C2×C4×D4×D4711yescharacteristic
673C2C22×C4×C22⋊D4711yescharacteristic
674C2C2×C4×#1062535211yescharacteristic
675C2C22×#1309399511yescharacteristic
676C2C2×#1568963011yescharacteristic
677C2C2×#1568965511yescharacteristic
678C2C2×#1568967011yescharacteristic
subgroupG/H
centerC23×C4C22×D47
commutatorC22×C47C24×C4
FrattiniC23C24×D47
FittingC22×C4×D4×C47C2
socleC24×C47C24
prime radicalC22×#13093995C2
cosocleC23×C47C25
hypercenterC22×C4×D4D47
hypocenterC47C2×C4×#121
LCSG ▷ C22×C47 ▷ C47
UCSC1 ◁ C23×C4 ◁ C22×C4×D4

Complements

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

NH ≅ G/Ntype
2. C22×C4×C22⋊D47C2semidirect
3. C22×C42×D47C2semidirect
4. C4×#13093995C2direct (N × H)
5. C2×#15689026C2semidirect
6. C2×#15689019C2semidirect
7. C2×#15689011C2semidirect
8. C2×#15688999C2semidirect
9. C2×#15688980C2semidirect
10. C2×C4×C4⋊Dic47C2semidirect
11. C2×C4×C22⋊Dic47C2semidirect
12. C22×C4×D4×C47C2semidirect
17. C2×#13093995C4direct (N × H)
20. C2×C4×C22⋊D47C22semidirect
33. C2×C42×D47C22semidirect
34. #15689026C22semidirect
35. #15689019C22semidirect
36. #15689011C22semidirect
37. #15688999C22semidirect
38. #15688980C22semidirect
39. C4×C4⋊Dic47C22semidirect
40. C4×C22⋊Dic47C22semidirect
47. C2×C4×D4×C47C22semidirect
54. C22×C22⋊D47C2×C4semidirect
68. C22×C4×D47C2×C4semidirect
69. C22×C4×D47D4semidirect
73. #13093995C2×C4direct (N × H)
76. C2×C4⋊Dic47C2×C4semidirect
83. C2×C22⋊Dic47C2×C4semidirect
104. C22×D4×C47C2×C4semidirect
119. C2×C42×C47D4semidirect
141. C2×D4×C47C22×C4semidirect
165. C2×C22⋊D47C22×C4semidirect
196. C2×C4×D47C22×C4semidirect
197. C2×C4×D47C2×D4semidirect
200. C42×C47C2×D4semidirect
203. C22⋊Dic47C22×C4semidirect
206. C4⋊Dic47C22×C4semidirect
244. C22×D47C4×D4semidirect
257. C2×C4×C47C4×D4semidirect
258. C2×C4×C47#121semidirect
320. C2×D47C2×C4×D4semidirect
323. C4×C47C2×C4×D4semidirect
324. C4×C47C2×#121semidirect
332. C22×C4×D4D47semidirect
343. C2×C47C4×#121semidirect
363. C2×C4×D4C2×D47semidirect
390. C47C2×C4×#121semidirect
399. C22×D4C4×D47semidirect
456. C2×C42C22⋊D47semidirect
485. C2×D4C2×C4×D47semidirect
551. C42C2×C22⋊D47semidirect
621. C2×C4C4×C22⋊D47semidirect
622. C2×C4#13093995direct (N × H)
667. C4C2×C4×C22⋊D47semidirect
668. C4C2×#13093995direct (N × H)
671. C2C4×#13093995direct (N × H)

Maximal subgroups

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

subgroupindex
C22×#130939952
C22×C4×C22⋊D472
C22×C42×D472
C4×#130939952
C2×#156890262
C2×#156890192
C2×#156890112
C2×#156889992
C2×#156889802
C2×C4×C4⋊Dic472
C2×C4×C22⋊Dic472
C22×C4×D4×C472
C2×C4×#12147