Finite Group Databasebeta

← C2×D4×Dic47⋊C4 #26375560

Subgroups — C2×D4×Dic47⋊C4 #26375560

Order 12032.

4718 conjugacy classes of subgroups.

The subgroup lattice has 608 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×D4×Dic47C211yesmaximal, characteristic
2C22×D4×Dic47C211yesmaximal, characteristic
3C23×Dic47⋊C4C212yesmaximal, complemented
4D4×Dic47⋊C4C2116yesmaximal, direct product factor
5C2×#15689021C211yesmaximal, characteristic, complemented
6C2×#15689019C211yesmaximal, characteristic, complemented
7C2×#15688996C212yesmaximal, complemented
8C2×#15688995C212yesmaximal, complemented
9C2×#15688992C211yesmaximal, characteristic, complemented
10C2×#15688981C212yesmaximal, complemented
11C2×C4×Dic47⋊C4C211yesmaximal, characteristic, complemented
12C22×C4×D4×C47C211yesmaximal, characteristic
13C24×Dic47C2212yes—
14C24×Dic47C2212yes—
15C2×D4×Dic47—28no—
16C2×D4×Dic47C4116yescomplemented
17C2×D4×Dic47C2218yes—
18C2×D4×Dic47C2218yes—
19C22×C4⋊Dic47C2211yescharacteristic
20C22×C4⋊Dic47C2211yescharacteristic
21C22×Dic47⋊C4—216no—
22C22×Dic47⋊C4C2212yes—
23C22×Dic47⋊C4C2212yes—
24C22×Dic47⋊C4C2212yes—
25C22×Dic47⋊C4C2211yescharacteristic
26C22×Dic47⋊C4C2212yes—
27C22×Dic47⋊C4C2211yescharacteristic
28C22×Dic47⋊C4C22116yescomplemented
29C22×C22⋊Dic47C2212yes—
30C22×C22⋊Dic47C2212yes—
31C22×C4×Dic47C2211yescharacteristic
32C22×C4×Dic47C2211yescharacteristic
33#15689021C2218yescomplemented
34#15689019C2218yescomplemented
35#15688996C22116yescomplemented
36#15688995C22116yescomplemented
37#15688992C2218yescomplemented
38#15688981C22116yescomplemented
39C4×Dic47⋊C4C2218yescomplemented
40C2×C47⋊#95C2211yescharacteristic
41C2×C47⋊#95C2212yes—
42C2×C47⋊#95C2211yescharacteristic
43C2×C47⋊#95C2212yes—
44C23×D4×C47C2211yescharacteristic
45C24×C4×C47C2212yes—
46C2×C4×D4×C47—28no—
47C2×C4×D4×C47C2218yes—
48C22×C4⋊C4×C47C2211yescharacteristic
49C22×C22⋊C4×C47C2212yes—
50C22×C42×C47C2211yescharacteristic
51C23×Dic47—28no—
52C23×Dic47—28no—
53C23×Dic47—28no—
54C23×Dic47—28no—
55C23×Dic47—44no—
56C23×Dic47C2×C4116yescomplemented
57C23×Dic47C2311yescharacteristic
58C23×Dic47C2312yes—
59C23×Dic47C2318yes—
60C23×Dic47C2311yescharacteristic
61C23×Dic47C2312yes—
62C23×Dic47C2318yes—
63C23×Dic47C2311yescharacteristic
64C23×Dic47C2311yescharacteristic
65D4×Dic47—232no—
66D4×Dic47C2×C4164yescomplemented
67C2×C4⋊Dic47—24no—
68C2×C4⋊Dic47C2×C418yescomplemented
69C2×C4⋊Dic47C2314yes—
70C2×C4⋊Dic47C2314yes—
71C2×Dic47⋊C4—28no—
72C2×Dic47⋊C4—28no—
73C2×Dic47⋊C4—28no—
74C2×Dic47⋊C4—24no—
75C2×Dic47⋊C4—264no—
76C2×Dic47⋊C4—44no—
77C2×Dic47⋊C4D418yesdirect product factor
78C2×Dic47⋊C4C2314yes—
79C2×Dic47⋊C4C2318yes—
80C2×Dic47⋊C4C2318yes—
81C2×Dic47⋊C4C2318yes—
82C2×Dic47⋊C4C2318yes—
83C2×Dic47⋊C4C2314yes—
84C2×C22⋊Dic47—28no—
85C2×C22⋊Dic47C2×C4116yescomplemented
86C2×C22⋊Dic47C2318yes—
87C2×C22⋊Dic47C2318yes—
88C2×C4×Dic47—24no—
89C2×C4×Dic47C2×C418yescomplemented
90C2×C4×Dic47C2314yes—
91C2×C4×Dic47C2314yes—
92C47⋊#95C2314yes—
93C47⋊#95C2314yes—
94C47⋊#95C2318yes—
95C47⋊#95C2318yes—
96C25×C47C2312yes—
97C22×D4×C47C2×C418yes—
98C22×D4×C47D418yes—
99C22×D4×C47Q818yes—
100C22×D4×C47C2314yes—
101C23×C4×C47—28no—
102C23×C4×C47—28no—
103C23×C4×C47—44no—
104C23×C4×C47C2311yescharacteristic
105C23×C4×C47C2312yes—
106C23×C4×C47C2318yes—
107C23×C4×C47C2311yescharacteristic
108C23×C4×C47C2311yescharacteristic
109C4×D4×C47—232no—
110C2×C4⋊C4×C47—24no—
111C2×C4⋊C4×C47C2314yes—
112C2×C22⋊C4×C47—28no—
113C2×C22⋊C4×C47C2318yes—
114C2×C42×C47—24no—
115C2×C42×C47C2314yes—
116C24×C47—24no—
117C24×C47—24no—
118C24×C47—24no—
119C24×C47—24no—
120C24×C47C22×C418yes—
121C24×C47C2×D418yes—
122C24×C47C2×Q818yes—
123C24×C47C2414yes—
124C24×C47C2411yescharacteristic
125C2×D4×C47C4⋊C4164yescomplemented
126C2×D4×C47C22×C4116yes—
127C2×D4×C47C2×D4116yes—
128C2×D4×C47C2×Q8116yes—
129C22×C4×C47—22no—
130C22×C4×C47—22no—
131C22×C4×C47—22no—
132C22×C4×C47—24no—
133C22×C4×C47—216no—
134C22×C4×C47—24no—
135C22×C4×C47—22no—
136C22×C4×C47—24no—
137C22×C4×C47—22no—
138C22×C4×C47—216no—
139C22×C4×C47—48no—
140C22×C4×C47—432no—
141C22×C4×C47C22×C414yes—
142C22×C4×C47C2×D414yes—
143C22×C4×C47C2×D414yes—
144C22×C4×C47C2×Q814yes—
145C22×C4×C47C2412yes—
146C22×C4×C47C2414yes—
147C22×C4×C47C2412yes—
148C22×C4×C47C2412yes—
149C22×Dic47—22no—
150C22×Dic47—24no—
151C22×Dic47—24no—
152C22×Dic47—22no—
153C22×Dic47—22no—
154C22×Dic47—22no—
155C22×Dic47—264no—
156C22×Dic47—216no—
157C22×Dic47—216no—
158C22×Dic47—22no—
159C22×Dic47—24no—
160C22×Dic47—24no—
161C22×Dic47—216no—
162C22×Dic47—22no—
163C22×Dic47—24no—
164C22×Dic47—22no—
165C22×Dic47—216no—
166C22×Dic47—48no—
167C22×Dic47—432no—
168C22×Dic47C22×C414yes—
169C22×Dic47C22×C418yes—
170C22×Dic47C22×C414yes—
171C22×Dic47C22×C4132yescomplemented
172C22×Dic47C2×D414yes—
173C22×Dic47C2×D414yes—
174C22×Dic47#4114yes—
175C22×Dic47C2412yes—
176C22×Dic47C2414yes—
177C22×Dic47C2412yes—
178C22×Dic47C2414yes—
179C22×Dic47C2412yes—
180C22×Dic47C2412yes—
181C4⋊C4×C47—28no—
182C22⋊C4×C47—216no—
183C42×C47—28no—
184C22⋊Dic47—216no—
185C22⋊Dic47C22×C4132yescomplemented
186C4⋊Dic47—28no—
187C4⋊Dic47C22×C4116yescomplemented
188Dic47⋊C4—216no—
189Dic47⋊C4—216no—
190Dic47⋊C4—216no—
191Dic47⋊C4—28no—
192Dic47⋊C4—48no—
193Dic47⋊C4C2×D4116yesdirect product factor
194C4×Dic47—28no—
195C4×Dic47C22×C4116yescomplemented
196C23×C47—216no—
197C23×C47—216no—
198C23×C47—216no—
199C23×C47—216no—
200C23×C47—216no—
201C23×C47—216no—
202C23×C47—24no—
203C23×C47—24no—
204C23×C47—24no—
205C23×C47—24no—
206C23×C47C2×C4⋊C4132yescomplemented
207C23×C47C23×C418yes—
208C23×C47C23×C412yes—
209C23×C47C22×D412yes—
210C23×C47C22×D418yes—
211C23×C47C22×D412yes—
212C23×C47C22×Q818yes—
213C23×C47C22×Q812yes—
214C23×C47C2×#4112yes—
215C23×C47H(5,𝔽2)12yes—
216C23×C472−1+412yes—
217C23×C47C2511yescharacteristic
218D4×C47C2×C4⋊C4164yescomplemented
219C2×C4×C47—28no—
220C2×C4×C47—22no—
221C2×C4×C47—22no—
222C2×C4×C47—24no—
223C2×C4×C47—22no—
224C2×C4×C47—24no—
225C2×C4×C47—22no—
226C2×C4×C47—24no—
227C2×C4×C47—22no—
228C2×C4×C47—432no—
229C2×C4×C47—48no—
230C2×C4×C47—44no—
231C2×C4×C47C2×C4⋊C4116yescomplemented
232C2×C4×C47C23×C414yes—
233C2×C4×C47C22×D414yes—
234C2×C4×C47C22×D414yes—
235C2×C4×C47C22×Q814yes—
236C2×Dic47—216no—
237C2×Dic47—28no—
238C2×Dic47—28no—
239C2×Dic47—22no—
240C2×Dic47—24no—
241C2×Dic47—24no—
242C2×Dic47—22no—
243C2×Dic47—22no—
244C2×Dic47—22no—
245C2×Dic47—264no—
246C2×Dic47—22no—
247C2×Dic47—24no—
248C2×Dic47—24no—
249C2×Dic47—22no—
250C2×Dic47—24no—
251C2×Dic47—22no—
252C2×Dic47—432no—
253C2×Dic47—48no—
254C2×Dic47—44no—
255C2×Dic47C4×D4116yescomplemented
256C2×Dic47C23×C414yes—
257C2×Dic47C23×C418yes—
258C2×Dic47C23×C414yes—
259C2×Dic47C22×D414yes—
260C2×Dic47C22×D414yes—
261C2×Dic47C2×#4114yes—
262C2×D4×C4⋊C4—471nomaximal, Sylow
263C22×C47—264no—
264C22×C47—28no—
265C22×C47—28no—
266C22×C47—28no—
267C22×C47—28no—
268C22×C47—28no—
269C22×C47—28no—
270C22×C47C22×C4⋊C414yes—
271C22×C47C22×C4⋊C4116yescomplemented
272C22×C47C2×C4×D414yes—
273C22×C47#52014yes—
274C22×C47D4214yes—
275C22×C47#54714yes—
276C22×C47D4×Q814yes—
277C22×C47#55414yes—
278C22×C47C24×C411yescharacteristic
279C22×C47C23×D411yescharacteristic
280C22×C47C23×D411yescharacteristic
281C22×C47C23×Q811yescharacteristic
282C22×C47C22×#4111yescharacteristic
283C22×C47C2×H(5,𝔽2)11yescharacteristic
284C22×C47C2×2−1+411yescharacteristic
285C4×C47—24no—
286C4×C47—44no—
287C4×C47—42no—
288C4×C47C22×C4⋊C418yescomplemented
289Dic47—28no—
290Dic47—24no—
291Dic47—24no—
292Dic47—44no—
293Dic47—42no—
294Dic47C2×C4×D418yescomplemented
295C22×C4×D4—471no—
296C22×C4×D4—471no—
297C22×C4×D4D4711yescharacteristic
298C23×C4⋊C4—472no—
299D4×C4⋊C4—4716no—
300C2×#389—471no—
301C2×#389—471no—
302C2×#385—472no—
303C2×#385—472no—
304C2×#384—471no—
305C2×#380—472no—
306C2×C4×C4⋊C4—471no—
307C2×C47—216no—
308C2×C47D4×C4⋊C418yescomplemented
309C2×C47C23×C4⋊C411yescharacteristic
310C2×C47C22×C4×D411yescharacteristic
311C2×C47C2×#52011yescharacteristic
312C2×C47C2×D4211yescharacteristic
313C2×C47C2×#54711yescharacteristic
314C2×C47C2×D4×Q811yescharacteristic
315C2×C47C2×#55411yescharacteristic
316C23×D4C2×D4711yescharacteristic
317C24×C4—472no—
318C24×C4—472no—
319C24×C4C2×D4712yes—
320C2×C4×D4—28no—
321C2×C4×D4—4716no—
322C2×C4×D4—478no—
323C2×C4×D4—478no—
324C2×C4×D4—948no—
325C2×C4×D4C2×D4718yes—
326C22×C4⋊C4—471no—
327C22×C4⋊C4—471no—
328C22×C4⋊C4—4716no—
329C22×C4⋊C4—472no—
330C22×C4⋊C4—472no—
331C22×C4⋊C4—472no—
332C22×C4⋊C4—471no—
333C22×C4⋊C4—471no—
334C22×C4⋊C4—472no—
335C22×C4⋊C4—9416no—
336C22×C4⋊C4C2×D4711yescharacteristic
337C22×C22⋊C4—472no—
338C22×C22⋊C4—472no—
339C22×C22⋊C4C2×D4712yes—
340C22×C42—471no—
341C22×C42—471no—
342C22×C42C2×D4711yescharacteristic
343#389—478no—
344#389—478no—
345#385—4716no—
346#385—4716no—
347#384—478no—
348#380—4716no—
349C4×C4⋊C4—478no—
350C2×#95—471no—
351C2×#95—471no—
352C2×#95—472no—
353C2×#95—472no—
354C47C2×D4×C4⋊C411yescharacteristic, complemented, Sylow
355C25C22×D4712yes—
356C22×D4Dic9418yes—
357C22×D4C4×D4718yes—
358C22×D4C22⋊D4718yes—
359C22×D4C22×D4714yes—
360C23×C4—28no—
361C23×C4—28no—
362C23×C4—44no—
363C23×C4—471no—
364C23×C4—4716no—
365C23×C4—478no—
366C23×C4—471no—
367C23×C4—472no—
368C23×C4—471no—
369C23×C4—471no—
370C23×C4—472no—
371C23×C4—478no—
372C23×C4—948no—
373C23×C4—948no—
374C23×C4—948no—
375C23×C4—948no—
376C23×C4—1884no—
377C23×C4C22×D4711yescharacteristic
378C23×C4C22×D4712yes—
379C23×C4C22×D4718yes—
380C23×C4C22×D4711yescharacteristic
381C23×C4C22×D4711yescharacteristic
382C4×D4—232no—
383C4×D4—4764no—
384C4×D4—9432no—
385C2×C4⋊C4—24no—
386C2×C4⋊C4—478no—
387C2×C4⋊C4—478no—
388C2×C4⋊C4—474no—
389C2×C4⋊C4—474no—
390C2×C4⋊C4—478no—
391C2×C4⋊C4—478no—
392C2×C4⋊C4—478no—
393C2×C4⋊C4—474no—
394C2×C4⋊C4—474no—
395C2×C4⋊C4—478no—
396C2×C4⋊C4—9464no—
397C2×C4⋊C4—948no—
398C2×C4⋊C4—948no—
399C2×C4⋊C4—944no—
400C2×C4⋊C4—948no—
401C2×C4⋊C4—944no—
402C2×C4⋊C4—1884no—
403C2×C4⋊C4C22×D4714yes—
404C2×C22⋊C4—28no—
405C2×C22⋊C4—4716no—
406C2×C22⋊C4—478no—
407C2×C22⋊C4—478no—
408C2×C22⋊C4—948no—
409C2×C22⋊C4C22×D4718yes—
410C2×C42—24no—
411C2×C42—478no—
412C2×C42—474no—
413C2×C42—474no—
414C2×C42—944no—
415C2×C42C22×D4714yes—
416#95—474no—
417#95—474no—
418#95—478no—
419#95—478no—
420C24—24no—
421C24—24no—
422C24—24no—
423C24—24no—
424C24C2×Dic9418yes—
425C24C2×C4×D4718yes—
426C24C2×C22⋊D4718yes—
427C24C23×D4714yes—
428C24C23×D4711yescharacteristic
429C2×D4Dic47⋊C4164yesdirect product factor
430C2×D4C2×Dic94116yes—
431C2×D4C2×C4×D47116yes—
432C2×D4C2×C22⋊D47116yes—
433C22×C4—22no—
434C22×C4—22no—
435C22×C4—24no—
436C22×C4—22no—
437C22×C4—24no—
438C22×C4—216no—
439C22×C4—22no—
440C22×C4—24no—
441C22×C4—22no—
442C22×C4—216no—
443C22×C4—48no—
444C22×C4—432no—
445C22×C4—474no—
446C22×C4—474no—
447C22×C4—474no—
448C22×C4—472no—
449C22×C4—474no—
450C22×C4—478no—
451C22×C4—4732no—
452C22×C4—474no—
453C22×C4—472no—
454C22×C4—474no—
455C22×C4—472no—
456C22×C4—472no—
457C22×C4—474no—
458C22×C4—9416no—
459C22×C4—9464no—
460C22×C4—9416no—
461C22×C4—9416no—
462C22×C4—944no—
463C22×C4—942no—
464C22×C4—944no—
465C22×C4—942no—
466C22×C4—942no—
467C22×C4—942no—
468C22×C4—944no—
469C22×C4—942no—
470C22×C4—944no—
471C22×C4—9416no—
472C22×C4—942no—
473C22×C4—944no—
474C22×C4—942no—
475C22×C4—1888no—
476C22×C4—18832no—
477C22×C4C2×Dic9414yes—
478C22×C4C2×C4×D4714yes—
479C22×C4D4×D4714yes—
480C22×C4C2×C22⋊D4714yes—
481C22×C4C23×D4712yes—
482C22×C4C23×D4714yes—
483C22×C4C23×D4712yes—
484C22×C4C23×D4712yes—
485C4⋊C4—28no—
486C4⋊C4—4716no—
487C4⋊C4—4716no—
488C4⋊C4—948no—
489C4⋊C4—9416no—
490C4⋊C4—9416no—
491C4⋊C4—9416no—
492C4⋊C4—948no—
493C4⋊C4—1888no—
494C22⋊C4—216no—
495C22⋊C4—4732no—
496C22⋊C4—9416no—
497C42—28no—
498C42—4716no—
499C42—948no—
500C23—216no—
501C23—216no—
502C23—216no—
503C23—216no—
504C23—216no—
505C23—216no—
506C23—24no—
507C23—24no—
508C23—24no—
509C23—24no—
510C23C2×Dic47⋊C4132yescomplemented
511C23C22×C4×D4718yes—
512C23C22×C4×D4712yes—
513C23C2×D4×D4712yes—
514C23C22×C22⋊D4718yes—
515C23C22×C22⋊D4712yes—
516C23C22×Dic9418yes—
517C23C22×Dic9412yes—
518C23#41×D4712yes—
519C23#1309406912yes—
520C23#1309407112yes—
521C23C24×D4711yescharacteristic
522D4C2×Dic47⋊C4164yesdirect product factor
523C2×C4—28no—
524C2×C4—22no—
525C2×C4—22no—
526C2×C4—24no—
527C2×C4—22no—
528C2×C4—24no—
529C2×C4—22no—
530C2×C4—24no—
531C2×C4—22no—
532C2×C4—432no—
533C2×C4—48no—
534C2×C4—44no—
535C2×C4—4716no—
536C2×C4—474no—
537C2×C4—474no—
538C2×C4—474no—
539C2×C4—474no—
540C2×C4—478no—
541C2×C4—474no—
542C2×C4—9464no—
543C2×C4—948no—
544C2×C4—9416no—
545C2×C4—948no—
546C2×C4—944no—
547C2×C4—942no—
548C2×C4—944no—
549C2×C4—942no—
550C2×C4—942no—
551C2×C4—942no—
552C2×C4—944no—
553C2×C4—942no—
554C2×C4—944no—
555C2×C4—942no—
556C2×C4—944no—
557C2×C4—942no—
558C2×C4—18832no—
559C2×C4—1888no—
560C2×C4—1884no—
561C2×C4C2×Dic47⋊C4116yescomplemented
562C2×C4C22×C4×D4714yes—
563C2×C4C2×D4×D4714yes—
564C2×C4C22×C22⋊D4714yes—
565C2×C4C22×Dic9414yes—
566C22—264no—
567C22—28no—
568C22—28no—
569C22—28no—
570C22—28no—
571C22—28no—
572C22—28no—
573C22C22×Dic47⋊C414yes—
574C22C22×Dic47⋊C4116yescomplemented
575C22C4×D4×D4714yes—
576C22#1568960214yes—
577C22D4×C22⋊D4714yes—
578C22#1568977214yes—
579C22D4×Dic9414yes—
580C22#1568983214yes—
581C22C23×C4×D4711yescharacteristic
582C22C22×D4×D4711yescharacteristic
583C22C23×C22⋊D4711yescharacteristic
584C22C23×Dic9411yescharacteristic
585C22C2×#41×D4711yescharacteristic
586C22C2×#1309406911yescharacteristic
587C22C2×#1309407111yescharacteristic
588C4—24no—
589C4—44no—
590C4—42no—
591C4—478no—
592C4—948no—
593C4—944no—
594C4—944no—
595C4—1884no—
596C4—1882no—
597C4C22×Dic47⋊C418yescomplemented
598C2—216no—
599C2D4×Dic47⋊C418yesdirect product factor
600C2C23×Dic47⋊C411yescharacteristic
601C2C2×C4×D4×D4711yescharacteristic
602C2C2×#1568960211yescharacteristic
603C2C2×D4×C22⋊D4711yescharacteristic
604C2C2×#1568977211yescharacteristic
605C2C2×D4×Dic9411yescharacteristic
606C2C2×#1568983211yescharacteristic
subgroupG/H
centerC24C23×D47
commutatorC22×C47C24×C4
FrattiniC23C24×D47
FittingC22×C4×D4×C47C2
socleC24×C47C24
prime radicalC23×D4×C47C22
cosocleC23×C47C25
hypercenterC22×C4×D4D47
hypocenterC47C2×D4×C4⋊C4
LCSG ▷ C22×C47 ▷ C47
UCSC1 ◁ C24 ◁ C22×C4×D4

Complements

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

NH ≅ G/Ntype
3. C23×Dic47⋊C4C2semidirect
4. D4×Dic47⋊C4C2direct (N × H)
5. C2×#15689021C2semidirect
6. C2×#15689019C2semidirect
7. C2×#15688996C2semidirect
8. C2×#15688995C2semidirect
9. C2×#15688992C2semidirect
10. C2×#15688981C2semidirect
11. C2×C4×Dic47⋊C4C2semidirect
16. C2×D4×Dic47C4semidirect
28. C22×Dic47⋊C4C22semidirect
33. #15689021C22semidirect
34. #15689019C22semidirect
35. #15688996C22semidirect
36. #15688995C22semidirect
37. #15688992C22semidirect
38. #15688981C22semidirect
39. C4×Dic47⋊C4C22semidirect
56. C23×Dic47C2×C4semidirect
66. D4×Dic47C2×C4semidirect
68. C2×C4⋊Dic47C2×C4semidirect
77. C2×Dic47⋊C4D4direct (N × H)
85. C2×C22⋊Dic47C2×C4semidirect
89. C2×C4×Dic47C2×C4semidirect
125. C2×D4×C47C4⋊C4semidirect
171. C22×Dic47C22×C4semidirect
185. C22⋊Dic47C22×C4semidirect
187. C4⋊Dic47C22×C4semidirect
193. Dic47⋊C4C2×D4direct (N × H)
195. C4×Dic47C22×C4semidirect
206. C23×C47C2×C4⋊C4semidirect
218. D4×C47C2×C4⋊C4semidirect
231. C2×C4×C47C2×C4⋊C4semidirect
255. C2×Dic47C4×D4semidirect
271. C22×C47C22×C4⋊C4semidirect
288. C4×C47C22×C4⋊C4semidirect
294. Dic47C2×C4×D4semidirect
308. C2×C47D4×C4⋊C4semidirect
354. C47C2×D4×C4⋊C4semidirect
429. C2×D4Dic47⋊C4direct (N × H)
510. C23C2×Dic47⋊C4semidirect
522. D4C2×Dic47⋊C4direct (N × H)
561. C2×C4C2×Dic47⋊C4semidirect
574. C22C22×Dic47⋊C4semidirect
597. C4C22×Dic47⋊C4semidirect
599. C2D4×Dic47⋊C4direct (N × H)

Maximal subgroups

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

subgroupindex
C22×D4×Dic472
C23×Dic47⋊C42
D4×Dic47⋊C42
C2×#156890212
C2×#156890192
C2×#156889962
C2×#156889952
C2×#156889922
C2×#156889812
C2×C4×Dic47⋊C42
C22×C4×D4×C472
C2×D4×C4⋊C447