Finite Group Databasebeta

← #26376746

Subgroups — #26376746

Order 12032.

2422 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×#13094022C211yesmaximal, characteristic
2#20246476C214yesmaximal, complemented
3#20246445C212yesmaximal, complemented
4#20246442C212yesmaximal, complemented
5#20246266C212yesmaximal
6#20246260C212yesmaximal
7Q8×C22⋊Dic47C211yesmaximal, characteristic
8C22⋊C4×Dic94C211yesmaximal, characteristic
9#20246220C211yesmaximal, characteristic
10#20246131C214yesmaximal, complemented
11#20246005C212yesmaximal
12#20245957C212yesmaximal, complemented
13C4×#13094022C212yesmaximal, complemented
14#20245790C211yesmaximal, characteristic
15#20245743C212yesmaximal
16C4×#13093980C211yesmaximal, characteristic
17Q8×C22⋊C4×C47C211yesmaximal, characteristic
18C23×Dic94C2211yescharacteristic
19C2×#13094022C4116yescomplemented
20C2×#13094022C2212yes—
21C2×#13094022C2211yescharacteristic
22C2×#13094022C2211yescharacteristic
23C2×#13094022C2211yescharacteristic
24C2×#13094022C2211yescharacteristic
25C2×#13094022C2212yes—
26C2×Q8×Dic47C2212yes—
27C2×C4×Dic94C2212yes—
28C2×#13093989C2212yes—
29C2×#13093980C2212yes—
30C2×#13093980C2211yescharacteristic
31C2×#13093980C2211yescharacteristic
32C22×Dic47⋊C4C2212yes—
33C22×Dic47⋊C4C2212yes—
34C22×C4×Dic47C2211yescharacteristic
35#15689030C2214yes—
36#15689030C2212yes—
37#15689029C2212yes—
38#15689028C2212yes—
39#15689027C2214yes—
40#15689027C2214yes—
41#15689020C2214yes—
42#15689020C2214yes—
43#15689020C2214yes—
44#15689018C2214yes—
45#15689018C2214yes—
46#15689018C2214yes—
47#15689010C2214yes—
48#15689007C2214yes—
49#15689005C2214yes—
50#15689004C2214yes—
51#15688992C2212yes—
52#15688987C2212yes—
53#15688983C2211yescharacteristic
54#15688983C2212yes—
55#15688981C2212yes—
56#15688981C2212yes—
57#15688981C2212yes—
58C4⋊C4×Dic47C2212yes—
59C4×Dic47⋊C4C2214yes—
60C4×Dic47⋊C4C2212yes—
61C4×Dic47⋊C4C2214yes—
62C4×Dic47⋊C4C2214yes—
63#15688974C2212yes—
64#15688974C2214yes—
65#15688974C2214yes—
66#15688974C2214yes—
67#15688974C2212yes—
68C22⋊C4×Dic47C2212yes—
69C22⋊C4×Dic47C2212yes—
70C22⋊C4×Dic47C2211yescharacteristic
71C22⋊C4×Dic47C2211yescharacteristic
72C4×C22⋊Dic47C2211yescharacteristic
73C4×C22⋊Dic47C2212yes—
74#15688968C2212yes—
75C42×Dic47C2212yes—
76C23×Q8×C47C2211yescharacteristic
77C2×C4×Q8×C47C2212yes—
78C47×#391C2214yes—
79C47×#391C2212yes—
80C47×#380C2211yescharacteristic
81C47×#380C2212yes—
82C4×C22⋊C4×C47C2211yescharacteristic
83C4×C22⋊C4×C47C2212yes—
84C22×Dic94—44no—
85C22×Dic94C2×C418yes—
86C22×Dic94C2311yescharacteristic
87C22×Dic94C2311yescharacteristic
88C22×Dic94C2312yes—
89C23×Dic47C2311yescharacteristic
90C23×Dic47C2312yes—
91C23×Dic47C2311yescharacteristic
92#13094022C2×C418yes—
93#13094022C2×C418yes—
94#13094022C2×C418yes—
95#13094022C2×C418yes—
96#13094022C2×C4116yes—
97#13094022C2×C4116yes—
98Q8×Dic47—44no—
99C4×Dic94—44no—
100#13093989—44no—
101#13093980—28no—
102#13093980—24no—
103#13093980Q818yescomplemented
104C2×C4⋊Dic47C2312yes—
105C2×C4⋊Dic47C2314yes—
106C2×Dic47⋊C4C2×C4116yes—
107C2×Dic47⋊C4C2×C4116yes—
108C2×Dic47⋊C4C2314yes—
109C2×Dic47⋊C4C2314yes—
110C2×Dic47⋊C4C2312yes—
111C2×Dic47⋊C4C2314yes—
112C2×Dic47⋊C4C2314yes—
113C2×Dic47⋊C4C2312yes—
114C2×Dic47⋊C4C2312yes—
115C2×Dic47⋊C4C2312yes—
116C2×Dic47⋊C4C2312yes—
117C2×Dic47⋊C4C2312yes—
118C2×Dic47⋊C4C2312yes—
119C2×Dic47⋊C4C2312yes—
120C2×Dic47⋊C4C2312yes—
121C2×Dic47⋊C4C2312yes—
122C2×C22⋊Dic47C2311yescharacteristic
123C2×C22⋊Dic47C2312yes—
124C2×C22⋊Dic47C2311yescharacteristic
125C2×C4×Dic47C2×C418yes—
126C2×C4×Dic47C2312yes—
127C2×C4×Dic47C2312yes—
128C2×C4×Dic47C2312yes—
129C2×C4×Dic47C2312yes—
130C2×C4×Dic47C2314yes—
131C2×C4×Dic47C2314yes—
132C2×C4×Dic47C2314yes—
133C2×C4×Dic47C2314yes—
134C2×C4×Dic47C2311yescharacteristic
135C2×C4×Dic47C2311yescharacteristic
136C2×C4×Dic47C2311yescharacteristic
137C2×C4×Dic47C2311yescharacteristic
138C2×C4×Dic47C2312yes—
139C47⋊#95C2312yes—
140C47⋊#95C2312yes—
141C47⋊#95C2312yes—
142C47⋊#95C2314yes—
143C47⋊#95C2314yes—
144C47⋊#95C2314yes—
145C47⋊#95C2314yes—
146C47⋊#95C2312yes—
147C47⋊#95C2314yes—
148C47⋊#95C2314yes—
149C47⋊#95C2314yes—
150C22×Q8×C47—44no—
151C22×Q8×C47C2×C418yes—
152C22×Q8×C47C2311yescharacteristic
153C22×Q8×C47C2311yescharacteristic
154C22×Q8×C47C2312yes—
155C23×C4×C47C2311yescharacteristic
156C23×C4×C47C2312yes—
157C4×Q8×C47—44no—
158C2×C4⋊C4×C47C2312yes—
159C2×C4⋊C4×C47C2314yes—
160C2×C22⋊C4×C47C2312yes—
161C2×C22⋊C4×C47C2311yescharacteristic
162C2×C22⋊C4×C47C2311yescharacteristic
163C2×C42×C47C2312yes—
164C2×C42×C47C2314yes—
165#95×C47C2312yes—
166#95×C47C2314yes—
167#95×C47C2312yes—
168#95×C47C2314yes—
169C24×C47C2411yescharacteristic
170C2×Q8×C47—24no—
171C2×Q8×C47—24no—
172C2×Q8×C47—44no—
173C2×Q8×C47—416no—
174C2×Q8×C47C22×C414yes—
175C2×Q8×C47C22×C414yes—
176C2×Q8×C47C22×C418yes—
177C22×C4×C47—24no—
178C22×C4×C47—44no—
179C22×C4×C47C22×C414yes—
180C22×C4×C47C22×C418yes—
181C22×C4×C47C2414yes—
182C22×C4×C47C2412yes—
183C22×C4×C47C2412yes—
184C22×C4×C47C2411yescharacteristic
185C22×C4×C47C2412yes—
186C22×C4×C47C2412yes—
187C22×C4×C47C2411yescharacteristic
188C22×Dic47—24no—
189C22×Dic47—44no—
190C22×Dic47C22×C414yes—
191C22×Dic47C22×C418yes—
192C22×Dic47C22×C414yes—
193C22×Dic47C2×Q814yes—
194C22×Dic47#4114yes—
195C22×Dic47C2412yes—
196C22×Dic47C2414yes—
197C22×Dic47C2411yescharacteristic
198C22×Dic47C2412yes—
199C22×Dic47C2412yes—
200C22×Dic47C2412yes—
201C22×Dic47C2411yescharacteristic
202C22×Dic47C2411yescharacteristic
203C22×Dic47C2411yescharacteristic
204C2×Dic94—24no—
205C2×Dic94—24no—
206C2×Dic94—416no—
207C2×Dic94—44no—
208C2×Dic94C22×C414yes—
209C2×Dic94C22×C414yes—
210C2×Dic94C22×C418yes—
211C4⋊C4×C47—24no—
212C4⋊C4×C47—44no—
213C22⋊C4×C47—24no—
214C22⋊C4×C47—22no—
215C22⋊C4×C47C2×Q814yes—
216C42×C47—24no—
217C42×C47—44no—
218C22⋊Dic47—22no—
219C22⋊Dic47—24no—
220C22⋊Dic47C2×Q814yes—
221C4⋊Dic47—24no—
222C4⋊Dic47—44no—
223Dic47⋊C4—24no—
224Dic47⋊C4—28no—
225Dic47⋊C4—28no—
226Dic47⋊C4—44no—
227Dic47⋊C4—44no—
228Dic47⋊C4C22×C418yes—
229Dic47⋊C4C22×C418yes—
230Dic47⋊C4C22×C418yes—
231Dic47⋊C4C22×C418yes—
232Dic47⋊C4C22×C418yes—
233Dic47⋊C4C22×C418yes—
234Dic47⋊C4C22×C418yes—
235Dic47⋊C4C22×C418yes—
236Dic47⋊C4C2×Q818yescomplemented
237C4×Dic47—24no—
238C4×Dic47—28no—
239C4×Dic47—24no—
240C4×Dic47—24no—
241C4×Dic47—24no—
242C4×Dic47—44no—
243C4×Dic47—44no—
244C4×Dic47—44no—
245C4×Dic47C22×C414yes—
246C4×Dic47C22×C414yes—
247C4×Dic47C22×C414yes—
248C4×Dic47C22×C414yes—
249C4×Dic47C2×Q818yescomplemented
250C23×C47—22no—
251C23×C47—22no—
252C23×C47C23×C412yes—
253C23×C47C22×Q812yes—
254C23×C47C2×#4112yes—
255C23×C47C2511yescharacteristic
256Q8×C47—28no—
257Q8×C47—28no—
258Q8×C47—48no—
259C2×C4×C47—22no—
260C2×C4×C47—24no—
261C2×C4×C47—24no—
262C2×C4×C47—22no—
263C2×C4×C47—22no—
264C2×C4×C47—28no—
265C2×C4×C47—24no—
266C2×C4×C47—22no—
267C2×C4×C47—24no—
268C2×C4×C47—22no—
269C2×C4×C47—22no—
270C2×C4×C47—24no—
271C2×C4×C47—48no—
272C2×C4×C47C23×C412yes—
273C2×C4×C47C23×C414yes—
274C2×C4×C47C23×C414yes—
275C2×C4×C47C23×C412yes—
276C2×C4×C47C22×Q814yes—
277C2×C4×C47H(5,𝔽2)14yes—
278C2×Dic47—22no—
279C2×Dic47—24no—
280C2×Dic47—24no—
281C2×Dic47—22no—
282C2×Dic47—22no—
283C2×Dic47—28no—
284C2×Dic47—22no—
285C2×Dic47—24no—
286C2×Dic47—22no—
287C2×Dic47—24no—
288C2×Dic47—22no—
289C2×Dic47—24no—
290C2×Dic47—48no—
291C2×Dic47C4×Q8116yescomplemented
292C2×Dic47C23×C412yes—
293C2×Dic47C23×C414yes—
294C2×Dic47C23×C414yes—
295C2×Dic47C23×C412yes—
296C2×Dic47C23×C412yes—
297C2×Dic47C23×C412yes—
298C2×Dic47C22×Q814yes—
299C2×Dic47C22×Q812yes—
300C2×Dic47C22×Q812yes—
301C2×Dic47C2×#4112yes—
302C2×Dic47C2×#4112yes—
303C2×Dic472−1+414yes—
304Dic94—28no—
305Dic94—28no—
306Dic94—48no—
307#34216—471nomaximal, Sylow
308C22×C47—22no—
309C22×C47—22no—
310C22×C47—24no—
311C22×C47—24no—
312C22×C47C2×C4×Q814yes—
313C22×C47C24×C411yescharacteristic
314C22×C47C23×Q811yescharacteristic
315C22×C47C22×#4111yescharacteristic
316C22×C47C2×H(5,𝔽2)12yes—
317C22×C47C2×2−1+412yes—
318C4×C47—22no—
319C4×C47—24no—
320C4×C47—24no—
321C4×C47—24no—
322C4×C47—44no—
323C4×C47—42no—
324C4×C47#51814yes—
325Dic47—24no—
326Dic47—24no—
327Dic47—22no—
328Dic47—24no—
329Dic47—42no—
330Dic47—44no—
331Dic47C2×C4×Q814yes—
332Dic47C2×C4×Q814yes—
333Dic47#51914yes—
334C22×C4⋊Q8—471no—
335#2369—474no—
336#2365—472no—
337#2365—472no—
338#2345—472no—
339#2345—472no—
340Q8×C22⋊C4—471no—
341Q8×C22⋊C4—471no—
342Q8×C22⋊C4—471no—
343Q8×C22⋊C4D4711yescharacteristic
344#2331—474no—
345#2316—472no—
346C4×C4⋊Q8—472no—
347C4×C4⋊Q8—472no—
348#2285—471no—
349#2274—472no—
350C4×#117—471no—
351C2×C47—24no—
352C2×C47C22×C4×Q811yescharacteristic
353C2×C47C2×#51811yescharacteristic
354C2×C47C2×#51911yescharacteristic
355C2×C47#350312yes—
356C2×C47#351112yes—
357C23×Q8—471no—
358C23×Q8C2×D4711yescharacteristic
359C2×C4⋊Q8—4716no—
360C2×C4⋊Q8—471no—
361C2×C4⋊Q8—471no—
362C2×C4⋊Q8—472no—
363C2×C4⋊Q8—471no—
364C2×C4⋊Q8—471no—
365C2×C4⋊Q8—472no—
366C2×C4×Q8—472no—
367C2×C4×Q8—472no—
368C2×C4×Q8—472no—
369C2×C4×Q8C2×D4712yes—
370C2×#117—471no—
371C2×#117—471no—
372C2×#117—472no—
373C22×C4⋊C4—472no—
374C22×C4⋊C4—472no—
375C22×C42—471no—
376#391—472no—
377#391—474no—
378#391—472no—
379#391—472no—
380#391—474no—
381#391—474no—
382#391C2×D4712yes—
383#391C2×D4714yes—
384#389—474no—
385#389—474no—
386#389—474no—
387#389—474no—
388#389—474no—
389#389—474no—
390#387—474no—
391#387—474no—
392#387—474no—
393#387—474no—
394#384—472no—
395#382—472no—
396#380—472no—
397#380—471no—
398#380—472no—
399#380—472no—
400#380—472no—
401#380C2×D4712yes—
402#380C2×D4711yescharacteristic
403C4×C4⋊C4—472no—
404C4×C4⋊C4—474no—
405C4×C4⋊C4—474no—
406C4×C4⋊C4—472no—
407C4×C4⋊C4—474no—
408C4×C4⋊C4—474no—
409C4×C4⋊C4—474no—
410C4×C4⋊C4—474no—
411C4×C4⋊C4—472no—
412C4×C4⋊C4—472no—
413C4×C22⋊C4—471no—
414C4×C22⋊C4—472no—
415C4×C22⋊C4—472no—
416C4×C22⋊C4—472no—
417C4×C22⋊C4—471no—
418C4×C22⋊C4—471no—
419C4×C22⋊C4C2×D4711yescharacteristic
420C4×C22⋊C4C2×D4712yes—
421#376—472no—
422C43—472no—
423C47#3421611yescharacteristic, complemented, Sylow
424C22×Q8—44no—
425C22×Q8—478no—
426C22×Q8—471no—
427C22×Q8—471no—
428C22×Q8—472no—
429C22×Q8—1884no—
430C22×Q8C4×D4718yes—
431C22×Q8C22×D4711yescharacteristic
432C22×Q8C22×D4711yescharacteristic
433C22×Q8C22×D4712yes—
434C23×C4—471no—
435C23×C4—471no—
436C23×C4—472no—
437C23×C4C22×D4711yescharacteristic
438C23×C4C22×D4712yes—
439C4⋊Q8—478no—
440C4⋊Q8—478no—
441C4⋊Q8—478no—
442C4⋊Q8—478no—
443C4⋊Q8—4716no—
444C4⋊Q8—4716no—
445C4×Q8—44no—
446C4×Q8—1884no—
447C4×Q8—1884no—
448C4×Q8—1884no—
449#117—478no—
450#117—944no—
451#117—948no—
452C2×C4⋊C4—4716no—
453C2×C4⋊C4—4716no—
454C2×C4⋊C4—472no—
455C2×C4⋊C4—472no—
456C2×C4⋊C4—472no—
457C2×C4⋊C4—472no—
458C2×C4⋊C4—472no—
459C2×C4⋊C4—472no—
460C2×C4⋊C4—472no—
461C2×C4⋊C4—472no—
462C2×C4⋊C4—472no—
463C2×C4⋊C4—474no—
464C2×C4⋊C4—472no—
465C2×C4⋊C4—472no—
466C2×C4⋊C4—474no—
467C2×C4⋊C4—474no—
468C2×C4⋊C4—474no—
469C2×C4⋊C4—474no—
470C2×C4⋊C4C22×D4712yes—
471C2×C4⋊C4C22×D4714yes—
472C2×C22⋊C4—471no—
473C2×C22⋊C4—471no—
474C2×C22⋊C4—472no—
475C2×C22⋊C4C22×D4711yescharacteristic
476C2×C22⋊C4C22×D4712yes—
477C2×C22⋊C4C22×D4711yescharacteristic
478C2×C42—478no—
479C2×C42—472no—
480C2×C42—471no—
481C2×C42—471no—
482C2×C42—471no—
483C2×C42—471no—
484C2×C42—472no—
485C2×C42—474no—
486C2×C42—472no—
487C2×C42—472no—
488C2×C42—472no—
489C2×C42—474no—
490C2×C42—474no—
491C2×C42—474no—
492C2×C42C22×D4712yes—
493C2×C42C22×D4714yes—
494#95—472no—
495#95—472no—
496#95—472no—
497#95—474no—
498#95—474no—
499#95—474no—
500#95—474no—
501#95—472no—
502#95—474no—
503#95—474no—
504#95—474no—
505#95C22×D4712yes—
506#95C22×D4714yes—
507#95C22×D4712yes—
508#95C22×D4714yes—
509C24C23×D4711yescharacteristic
510C2×Q8—24no—
511C2×Q8—24no—
512C2×Q8—44no—
513C2×Q8—416no—
514C2×Q8—474no—
515C2×Q8—474no—
516C2×Q8—478no—
517C2×Q8—944no—
518C2×Q8—944no—
519C2×Q8—1884no—
520C2×Q8—18816no—
521C2×Q8C2×C4×D4714yes—
522C2×Q8C2×C4×D4714yes—
523C2×Q8C2×C4×D4718yes—
524C22×C4—24no—
525C22×C4—44no—
526C22×C4—474no—
527C22×C4—474no—
528C22×C4—474no—
529C22×C4—471no—
530C22×C4—471no—
531C22×C4—471no—
532C22×C4—474no—
533C22×C4—471no—
534C22×C4—472no—
535C22×C4—472no—
536C22×C4—472no—
537C22×C4—478no—
538C22×C4—472no—
539C22×C4—474no—
540C22×C4—944no—
541C22×C4—1884no—
542C22×C4C2×C4×D4714yes—
543C22×C4C2×C4×D4718yes—
544C22×C4C23×D4712yes—
545C22×C4C23×D4714yes—
546C22×C4C23×D4711yescharacteristic
547C22×C4C23×D4712yes—
548C22×C4C23×D4712yes—
549C22×C4C23×D4712yes—
550C22×C4C23×D4711yescharacteristic
551C4⋊C4—24no—
552C4⋊C4—44no—
553C4⋊C4—478no—
554C4⋊C4—478no—
555C4⋊C4—478no—
556C4⋊C4—478no—
557C4⋊C4—478no—
558C4⋊C4—478no—
559C4⋊C4—478no—
560C4⋊C4—478no—
561C4⋊C4—478no—
562C4⋊C4—948no—
563C4⋊C4—944no—
564C4⋊C4—948no—
565C4⋊C4—944no—
566C4⋊C4—1884no—
567C4⋊C4—1884no—
568C4⋊C4—1884no—
569C22⋊C4—22no—
570C22⋊C4—24no—
571C22⋊C4—474no—
572C22⋊C4—942no—
573C22⋊C4—944no—
574C22⋊C4Q8×D4714yes—
575C42—24no—
576C42—44no—
577C42—474no—
578C42—474no—
579C42—474no—
580C42—474no—
581C42—478no—
582C42—944no—
583C42—944no—
584C42—948no—
585C42—944no—
586C42—944no—
587C42—1884no—
588C42—1884no—
589C42—1884no—
590C23—22no—
591C23—22no—
592C23C22×C4×D4712yes—
593C23C2×Q8×D4712yes—
594C23#41×D4712yes—
595C23C24×D4711yescharacteristic
596Q8—28no—
597Q8—28no—
598Q8—48no—
599Q8—948no—
600Q8—948no—
601Q8—1888no—
602C2×C4—22no—
603C2×C4—24no—
604C2×C4—24no—
605C2×C4—22no—
606C2×C4—22no—
607C2×C4—28no—
608C2×C4—22no—
609C2×C4—24no—
610C2×C4—22no—
611C2×C4—24no—
612C2×C4—22no—
613C2×C4—24no—
614C2×C4—48no—
615C2×C4—4716no—
616C2×C4—472no—
617C2×C4—472no—
618C2×C4—472no—
619C2×C4—472no—
620C2×C4—472no—
621C2×C4—472no—
622C2×C4—472no—
623C2×C4—474no—
624C2×C4—472no—
625C2×C4—474no—
626C2×C4—474no—
627C2×C4—474no—
628C2×C4—948no—
629C2×C4—942no—
630C2×C4—944no—
631C2×C4—944no—
632C2×C4—942no—
633C2×C4—942no—
634C2×C4—942no—
635C2×C4—944no—
636C2×C4—942no—
637C2×C4—944no—
638C2×C4—942no—
639C2×C4—944no—
640C2×C4—1888no—
641C2×C4C22×C4×D4712yes—
642C2×C4C22×C4×D4714yes—
643C2×C4C22×C4×D4714yes—
644C2×C4C22×C4×D4712yes—
645C2×C4C2×Q8×D4714yes—
646C2×C4#1309406914yes—
647C22—24no—
648C22—22no—
649C22—22no—
650C22—24no—
651C22C4×Q8×D4714yes—
652C22C23×C4×D4711yescharacteristic
653C22C22×Q8×D4711yescharacteristic
654C22C2×#41×D4711yescharacteristic
655C22C2×#1309406912yes—
656C222−1+4×D4712yes—
657C4—22no—
658C4—24no—
659C4—24no—
660C4—24no—
661C4—42no—
662C4—44no—
663C4—474no—
664C4—474no—
665C4—474no—
666C4—944no—
667C4—944no—
668C4—942no—
669C4—944no—
670C4—1882no—
671C4—1884no—
672C4#1568959614yes—
673C2—24no—
674C2C2×C4×Q8×D4711yescharacteristic
675C2C2×#1568959611yescharacteristic
676C2#519×D4711yescharacteristic
677C2#2025719912yes—
678C2#2025729412yes—
subgroupG/H
center, FrattiniC23C24×D47
commutatorC22×C47C24×C4
FittingQ8×C22⋊C4×C47C2
socle, cosocleC23×C47C25
prime radicalC24×C47C24
hypercenterQ8×C22⋊C4D47
hypocenterC47#34216
LCSG ▷ C22×C47 ▷ C47
UCSC1 ◁ C23 ◁ Q8×C22⋊C4

Complements

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

NH ≅ G/Ntype
2. #20246476C2semidirect
3. #20246445C2semidirect
4. #20246442C2semidirect
10. #20246131C2semidirect
12. #20245957C2semidirect
13. C4×#13094022C2semidirect
19. C2×#13094022C4semidirect
103. #13093980Q8semidirect
236. Dic47⋊C4C2×Q8semidirect
249. C4×Dic47C2×Q8semidirect
291. C2×Dic47C4×Q8semidirect
423. C47#34216semidirect

Maximal subgroups

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

subgroupindex
C22×#130940222
#202464762
#202464452
#202464422
#202462662
#202462602
Q8×C22⋊Dic472
C22⋊C4×Dic942
#202462202
#202461312
#202460052
#202459572
C4×#130940222
#202457902
#202457432
C4×#130939802
Q8×C22⋊C4×C472
#3421647