Finite Group Databasebeta

← C2×#20248307 #26388047

Subgroups — C2×#20248307 #26388047

Order 12032.

3614 conjugacy classes of subgroups.

The subgroup lattice has 660 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×#13094000C211yesmaximal, characteristic, complemented
2C22×Q8×Dic47C211yesmaximal, characteristic, complemented
3C22×C4×C22⋊D47C211yesmaximal, characteristic
4#20248307C2116yesmaximal, direct product factor
5C2×#15689046C212yesmaximal, complemented
6C2×#15689045C212yesmaximal, complemented
7C2×#15689023C212yesmaximal
8C2×#15689018C212yesmaximal, complemented
9C2×#15688992C211yesmaximal, characteristic, complemented
10C2×#15688983C211yesmaximal, characteristic, complemented
11C2×#15688980C211yesmaximal, characteristic, complemented
12C22×C22⋊Q8×C47C211yesmaximal, characteristic, complemented
13C23×C22⋊D47C2211yescharacteristic
14C23×C4×D47C2211yescharacteristic
15C2×#13094000—28no—
16C2×#13094000C2218yescomplemented
17C2×Q8×Dic47—28no—
18C2×Q8×Dic47C2218yescomplemented
19C2×C4×C22⋊D47—28no—
20C2×C4×C22⋊D47C2218yes—
21C22×C4⋊Dic47C2211yescharacteristic
22C22×C4⋊Dic47C2211yescharacteristic
23C22×C4⋊Dic47C2212yes—
24C22×Dic47⋊C4C2212yes—
25C22×Dic47⋊C4C2211yescharacteristic
26C22×Dic47⋊C4C2212yes—
27C22×Dic47⋊C4C2212yes—
28C22×C22⋊Dic47C2211yescharacteristic
29C22×C22⋊Dic47C2212yes—
30C22×(C2×D47)⋊C4C2211yescharacteristic
31C22×(C2×D47)⋊C4C2212yes—
32C22×(C2×D47)⋊C4C2212yes—
33C22×C4×Dic47C2212yes—
34C22×C4×Dic47C2211yescharacteristic
35#15689046C22116yescomplemented
36#15689045C22116yescomplemented
37#15689023C22116yes—
38#15689018C22116yescomplemented
39#15688992C2218yescomplemented
40#15688983C2218yescomplemented
41#15688980C2218yescomplemented
42C2×C47⋊#95C2212yes—
43C2×C47⋊#95C2212yes—
44C23×Q8×C47C2211yescharacteristic
45C24×C4×C47C2211yescharacteristic
46C2×C22⋊Q8×C47—28no—
47C2×C22⋊Q8×C47C2218yescomplemented
48C22×C4⋊C4×C47C2211yescharacteristic
49C22×C4⋊C4×C47C2212yes—
50C22×C22⋊C4×C47C2212yes—
51C24×D47C2311yescharacteristic
52C22×C22⋊D47—24no—
53C22×C22⋊D47—24no—
54C22×C22⋊D47Q818yescomplemented
55C22×C22⋊D47C2314yes—
56C23×Dic47C2312yes—
57C23×Dic47C2311yescharacteristic
58C23×Dic47C2312yes—
59C23×Dic47C2311yescharacteristic
60C23×Dic47C2311yescharacteristic
61C22×C4×D47—24no—
62C22×C4×D47—24no—
63C22×C4×D47—24no—
64C22×C4×D47C2314yes—
65#13094000—232no—
66Q8×Dic47—232no—
67C4×C22⋊D47—232no—
68C2×C4⋊Dic47—24no—
69C2×C4⋊Dic47—24no—
70C2×C4⋊Dic47—28no—
71C2×C4⋊Dic47C2314yes—
72C2×C4⋊Dic47C2314yes—
73C2×C4⋊Dic47C2318yes—
74C2×Dic47⋊C4—28no—
75C2×Dic47⋊C4—24no—
76C2×Dic47⋊C4—28no—
77C2×Dic47⋊C4—44no—
78C2×Dic47⋊C4C2318yes—
79C2×Dic47⋊C4C2314yes—
80C2×Dic47⋊C4C2318yes—
81C2×Dic47⋊C4C2318yes—
82C2×C22⋊Dic47—24no—
83C2×C22⋊Dic47—44no—
84C2×C22⋊Dic47C2314yes—
85C2×C22⋊Dic47C2318yes—
86C2×(C2×D47)⋊C4—28no—
87C2×(C2×D47)⋊C4—24no—
88C2×(C2×D47)⋊C4—44no—
89C2×(C2×D47)⋊C4C2318yes—
90C2×(C2×D47)⋊C4C2314yes—
91C2×(C2×D47)⋊C4C2318yes—
92C2×C4×Dic47—28no—
93C2×C4×Dic47D418yes—
94C2×C4×Dic47C2318yes—
95C2×C4×Dic47C2314yes—
96C47⋊#95C2318yes—
97C47⋊#95C2318yes—
98C25×C47C2311yescharacteristic
99C22×Q8×C47—24no—
100C22×Q8×C47—24no—
101C22×Q8×C47D418yescomplemented
102C22×Q8×C47C2314yes—
103C23×C4×C47—24no—
104C23×C4×C47—24no—
105C23×C4×C47—24no—
106C23×C4×C47C2311yescharacteristic
107C23×C4×C47C2312yes—
108C23×C4×C47C2314yes—
109C23×C4×C47C2312yes—
110C23×C4×C47C2311yescharacteristic
111C22⋊Q8×C47—232no—
112C2×C4⋊C4×C47—24no—
113C2×C4⋊C4×C47—28no—
114C2×C4⋊C4×C47C2314yes—
115C2×C4⋊C4×C47C2318yes—
116C2×C22⋊C4×C47—28no—
117C2×C22⋊C4×C47C2318yes—
118C24×C47—22no—
119C24×C47—22no—
120C24×C47—22no—
121C24×C47—22no—
122C24×C47—22no—
123C24×C47—22no—
124C24×C47C2×Q814yes—
125C24×C47C2412yes—
126C24×C47C2411yescharacteristic
127C23×D47—22no—
128C23×D47—22no—
129C23×D47—22no—
130C23×D47—22no—
131C23×D47—22no—
132C23×D47—22no—
133C23×D47C2×Q814yes—
134C23×D47C2412yes—
135C2×Q8×C47—232no—
136C2×Q8×C47—28no—
137C2×Q8×C47—28no—
138C2×Q8×C47C2×D4116yescomplemented
139C22×C4×C47—24no—
140C22×C4×C47—24no—
141C22×C4×C47—24no—
142C22×C4×C47—22no—
143C22×C4×C47—22no—
144C22×C4×C47—22no—
145C22×C4×C47—24no—
146C22×C4×C47—24no—
147C22×C4×C47—28no—
148C22×C4×C47—28no—
149C22×C4×C47—28no—
150C22×C4×C47—416no—
151C22×C4×C47C2×D418yes—
152C22×C4×C47C2×D414yes—
153C22×C4×C47C2×D414yes—
154C22×C4×C47#4114yes—
155C22×C4×C47C2414yes—
156C22×C4×C47C2412yes—
157C22×C4×C47C2414yes—
158C22×C4×C47C2412yes—
159C2×C22⋊D47—232no—
160C2×C22⋊D47—28no—
161C2×C22⋊D47—28no—
162C2×C22⋊D47C2×Q8116yescomplemented
163C22×Dic47—22no—
164C22×Dic47—22no—
165C22×Dic47—24no—
166C22×Dic47—24no—
167C22×Dic47—22no—
168C22×Dic47—22no—
169C22×Dic47—24no—
170C22×Dic47—22no—
171C22×Dic47—24no—
172C22×Dic47—24no—
173C22×Dic47—24no—
174C22×Dic47C2×D414yes—
175C22×Dic47C2×D414yes—
176C22×Dic47C2×Q814yes—
177C22×Dic47#4114yes—
178C22×Dic47C2414yes—
179C22×Dic47C2412yes—
180C22×Dic47C2414yes—
181C22×Dic47C2412yes—
182C22×Dic47C2412yes—
183C2×C4×D47—28no—
184C2×C4×D47—28no—
185C2×C4×D47—28no—
186C2×C4×D47—416no—
187C4⋊C4×C47—28no—
188C4⋊C4×C47—216no—
189C22⋊C4×C47—216no—
190C22⋊Dic47—28no—
191C22⋊Dic47—48no—
192(C2×D47)⋊C4—216no—
193(C2×D47)⋊C4—28no—
194(C2×D47)⋊C4—48no—
195C4⋊Dic47—28no—
196C4⋊Dic47—28no—
197C4⋊Dic47—216no—
198Dic47⋊C4—216no—
199Dic47⋊C4—28no—
200Dic47⋊C4—216no—
201Dic47⋊C4—48no—
202C4×Dic47—216no—
203C4×Dic47C2×D4116yes—
204C23×C47—28no—
205C23×C47—28no—
206C23×C47—28no—
207C23×C47—22no—
208C23×C47—22no—
209C23×C47—22no—
210C23×C47—22no—
211C23×C47—22no—
212C23×C47—22no—
213C23×C47—44no—
214C23×C47—44no—
215C23×C47—44no—
216C23×C47—44no—
217C23×C47C22×D412yes—
218C23×C47C22×D412yes—
219C23×C47C22×Q814yes—
220C23×C47C22×Q812yes—
221C23×C47C2×#4112yes—
222C23×C47C2×#4112yes—
223C23×C47H(5,𝔽2)12yes—
224C23×C472−1+412yes—
225C23×C47C2511yescharacteristic
226C22×D47—28no—
227C22×D47—28no—
228C22×D47—28no—
229C22×D47—22no—
230C22×D47—22no—
231C22×D47—22no—
232C22×D47—22no—
233C22×D47—22no—
234C22×D47—22no—
235C22×D47—44no—
236C22×D47—44no—
237C22×D47—44no—
238C22×D47—44no—
239C22×D47C22×Q814yes—
240Q8×C47—232no—
241C2×C4×C47—216no—
242C2×C4×C47—24no—
243C2×C4×C47—24no—
244C2×C4×C47—22no—
245C2×C4×C47—24no—
246C2×C4×C47—22no—
247C2×C4×C47—24no—
248C2×C4×C47—22no—
249C2×C4×C47—24no—
250C2×C4×C47—44no—
251C2×C4×C47—48no—
252C2×C4×C47—416no—
253C2×C4×C47#121116yes—
254C2×C4×C47C22×D414yes—
255C2×C4×C47C22×D418yes—
256C2×C4×C47C22×D414yes—
257C2×C4×C47C2×#4114yes—
258C22⋊D47—232no—
259C2×Dic47—28no—
260C2×Dic47—22no—
261C2×Dic47—22no—
262C2×Dic47—24no—
263C2×Dic47—22no—
264C2×Dic47—24no—
265C2×Dic47—22no—
266C2×Dic47—24no—
267C2×Dic47—22no—
268C2×Dic47—24no—
269C2×Dic47—24no—
270C2×Dic47—24no—
271C2×Dic47—44no—
272C2×Dic47—48no—
273C2×Dic47—48no—
274C2×Dic47C22⋊Q8116yescomplemented
275C2×Dic47C22×D414yes—
276C2×Dic47C22×D414yes—
277C2×Dic47C22×Q814yes—
278C2×Dic47C2×#4114yes—
279C4×D47—416no—
280C2×#2538—471nomaximal, Sylow
281C22×C47—24no—
282C22×C47—24no—
283C22×C47—24no—
284C22×C47—42no—
285C22×C47—42no—
286C22×C47—42no—
287C22×C47—42no—
288C22×C47—416no—
289C22×C47C2×#12114yes—
290C22×C47C2×C22⋊Q814yes—
291C22×C47#53714yes—
292C22×C47D4×Q814yes—
293C22×C47#55014yes—
294C22×C47#55414yes—
295C22×C47#55614yes—
296C22×C47C23×D411yescharacteristic
297C22×C47C23×D411yescharacteristic
298C22×C47C23×Q811yescharacteristic
299C22×C47C22×#4111yescharacteristic
300C22×C47C22×#4111yescharacteristic
301C22×C47C2×H(5,𝔽2)11yescharacteristic
302C22×C47C2×2−1+411yescharacteristic
303C2×D47—24no—
304C2×D47—24no—
305C2×D47—24no—
306C2×D47—42no—
307C2×D47—42no—
308C2×D47—42no—
309C2×D47—42no—
310C2×D47—416no—
311C4×C47—28no—
312C4×C47—42no—
313C4×C47—44no—
314C4×C47C2×#12118yes—
315Dic47—24no—
316Dic47—42no—
317Dic47—44no—
318Dic47—44no—
319Dic47C2×C22⋊Q818yescomplemented
320C22×C22⋊Q8—471no—
321C22×C22⋊Q8D4711yescharacteristic, complemented
322C22×C4×Q8—471no—
323C22×C4×D4—471no—
324#2538—4716no—
325C2×#396—472no—
326C2×#396—472no—
327C2×#390—472no—
328C2×#389—472no—
329C2×#384—471no—
330C2×#380—471no—
331C2×#380—471no—
332C2×C47—44no—
333C2×C47#253818yescomplemented
334C2×C47C22×#12111yescharacteristic
335C2×C47C22×C22⋊Q811yescharacteristic
336C2×C47C2×#53711yescharacteristic
337C2×C47C2×D4×Q811yescharacteristic
338C2×C47C2×#55011yescharacteristic
339C2×C47C2×#55411yescharacteristic
340C2×C47C2×#55611yescharacteristic
341D47—44no—
342C23×Q8C2×D4711yescharacteristic
343C23×D4—471no—
344C24×C4—471no—
345C24×C4C2×D4711yescharacteristic
346C2×C22⋊Q8—28no—
347C2×C22⋊Q8—478no—
348C2×C22⋊Q8—948no—
349C2×C22⋊Q8C2×D4718yescomplemented
350C2×C4×Q8—478no—
351C2×C4×Q8—948no—
352C2×C4×D4—478no—
353C2×C4×D4—948no—
354C22×C4⋊C4—472no—
355C22×C4⋊C4—472no—
356C22×C4⋊C4—471no—
357C22×C4⋊C4—471no—
358C22×C4⋊C4—472no—
359C22×C4⋊C4—471no—
360C22×C4⋊C4—472no—
361C22×C4⋊C4C2×D4712yes—
362C22×C4⋊C4C2×D4711yescharacteristic
363C22×C22⋊C4—471no—
364C22×C22⋊C4—471no—
365C22×C22⋊C4—472no—
366C22×C22⋊C4—472no—
367C22×C22⋊C4—472no—
368C22×C22⋊C4C2×D4712yes—
369C22×C42—471no—
370C22×C42—472no—
371#396—4716no—
372#396—4716no—
373#390—4716no—
374#389—4716no—
375#384—478no—
376#380—478no—
377#380—478no—
378C2×#95—472no—
379C2×#95—472no—
380C47C2×#253811yescharacteristic, complemented, Sylow
381C25—471no—
382C25C22×D4711yescharacteristic
383C22×Q8—24no—
384C22×Q8—24no—
385C22×Q8C22⋊D4718yescomplemented
386C22×Q8C22×D4714yes—
387C22×D4—478no—
388C22×D4—474no—
389C22×D4—944no—
390C22×D4—944no—
391C23×C4—24no—
392C23×C4—24no—
393C23×C4—24no—
394C23×C4—471no—
395C23×C4—471no—
396C23×C4—472no—
397C23×C4—472no—
398C23×C4—471no—
399C23×C4—474no—
400C23×C4—944no—
401C23×C4—944no—
402C23×C4—944no—
403C23×C4C22×D4714yes—
404C23×C4C22×D4712yes—
405C23×C4C22×D4711yescharacteristic
406C23×C4C22×D4712yes—
407C23×C4C22×D4711yescharacteristic
408C22⋊Q8—232no—
409C22⋊Q8—9432no—
410C4×Q8—9432no—
411C4×D4—9432no—
412C2×C4⋊C4—24no—
413C2×C4⋊C4—28no—
414C2×C4⋊C4—474no—
415C2×C4⋊C4—474no—
416C2×C4⋊C4—478no—
417C2×C4⋊C4—478no—
418C2×C4⋊C4—474no—
419C2×C4⋊C4—478no—
420C2×C4⋊C4—478no—
421C2×C4⋊C4—944no—
422C2×C4⋊C4—948no—
423C2×C4⋊C4—948no—
424C2×C4⋊C4—944no—
425C2×C4⋊C4—948no—
426C2×C4⋊C4—944no—
427C2×C4⋊C4—1884no—
428C2×C4⋊C4C22×D4714yes—
429C2×C4⋊C4C22×D4718yes—
430C2×C22⋊C4—28no—
431C2×C22⋊C4—474no—
432C2×C22⋊C4—474no—
433C2×C22⋊C4—478no—
434C2×C22⋊C4—478no—
435C2×C22⋊C4—478no—
436C2×C22⋊C4—944no—
437C2×C22⋊C4—944no—
438C2×C22⋊C4—948no—
439C2×C22⋊C4—1884no—
440C2×C22⋊C4—1884no—
441C2×C22⋊C4C22×D4718yes—
442C2×C42—478no—
443C2×C42—474no—
444C2×C42—478no—
445C2×C42—948no—
446#95—478no—
447#95—478no—
448C24—22no—
449C24—22no—
450C24—22no—
451C24—22no—
452C24—22no—
453C24—22no—
454C24—474no—
455C24—472no—
456C24—942no—
457C24—942no—
458C24—942no—
459C24—942no—
460C24—942no—
461C24—942no—
462C24Q8×D4714yes—
463C24C23×D4712yes—
464C24C23×D4711yescharacteristic
465C2×Q8—232no—
466C2×Q8—28no—
467C2×Q8—28no—
468C2×Q8C2×C22⋊D47116yescomplemented
469C2×D4—4716no—
470C2×D4—948no—
471C2×D4—9432no—
472C2×D4—948no—
473C22×C4—24no—
474C22×C4—24no—
475C22×C4—22no—
476C22×C4—24no—
477C22×C4—22no—
478C22×C4—24no—
479C22×C4—22no—
480C22×C4—24no—
481C22×C4—28no—
482C22×C4—28no—
483C22×C4—28no—
484C22×C4—416no—
485C22×C4—474no—
486C22×C4—474no—
487C22×C4—474no—
488C22×C4—472no—
489C22×C4—474no—
490C22×C4—472no—
491C22×C4—474no—
492C22×C4—472no—
493C22×C4—474no—
494C22×C4—942no—
495C22×C4—942no—
496C22×C4—944no—
497C22×C4—942no—
498C22×C4—944no—
499C22×C4—942no—
500C22×C4—944no—
501C22×C4—942no—
502C22×C4—944no—
503C22×C4—944no—
504C22×C4—944no—
505C22×C4—948no—
506C22×C4—948no—
507C22×C4—948no—
508C22×C4—18816no—
509C22×C4D4×D4714yes—
510C22×C4#1062535214yes—
511C22×C4C2×C22⋊D4718yes—
512C22×C4C2×C22⋊D4714yes—
513C22×C4C23×D4712yes—
514C22×C4C23×D4714yes—
515C22×C4C23×D4714yes—
516C22×C4C23×D4712yes—
517C4⋊C4—28no—
518C4⋊C4—216no—
519C4⋊C4—9416no—
520C4⋊C4—948no—
521C4⋊C4—9416no—
522C4⋊C4—948no—
523C4⋊C4—9416no—
524C4⋊C4—948no—
525C4⋊C4—1888no—
526C22⋊C4—216no—
527C22⋊C4—948no—
528C22⋊C4—948no—
529C22⋊C4—9416no—
530C22⋊C4—1888no—
531C22⋊C4—1888no—
532C42—4716no—
533C42—9416no—
534C23—28no—
535C23—28no—
536C23—28no—
537C23—22no—
538C23—22no—
539C23—22no—
540C23—22no—
541C23—22no—
542C23—22no—
543C23—44no—
544C23—44no—
545C23—44no—
546C23—44no—
547C23—474no—
548C23—948no—
549C23—948no—
550C23—948no—
551C23—942no—
552C23—942no—
553C23—942no—
554C23—942no—
555C23—942no—
556C23—942no—
557C23—1884no—
558C23—1884no—
559C23—1884no—
560C23—1884no—
561C23C2×D4×D4712yes—
562C23C22×C22⋊D4712yes—
563C23C2×Q8×D4714yes—
564C23C2×Q8×D4712yes—
565C23#41×D4712yes—
566C23C2×#1062535212yes—
567C23#1309407012yes—
568C23#1309407212yes—
569C23C24×D4711yescharacteristic
570Q8—232no—
571D4—9432no—
572C2×C4—216no—
573C2×C4—24no—
574C2×C4—24no—
575C2×C4—22no—
576C2×C4—24no—
577C2×C4—22no—
578C2×C4—24no—
579C2×C4—22no—
580C2×C4—24no—
581C2×C4—48no—
582C2×C4—44no—
583C2×C4—416no—
584C2×C4—4716no—
585C2×C4—474no—
586C2×C4—474no—
587C2×C4—474no—
588C2×C4—474no—
589C2×C4—942no—
590C2×C4—942no—
591C2×C4—948no—
592C2×C4—944no—
593C2×C4—942no—
594C2×C4—944no—
595C2×C4—942no—
596C2×C4—944no—
597C2×C4—942no—
598C2×C4—944no—
599C2×C4—944no—
600C2×C4—944no—
601C2×C4—1888no—
602C2×C4—1884no—
603C2×C4—1888no—
604C2×C4—18816no—
605C2×C4#13093996116yes—
606C2×C4C2×D4×D4714yes—
607C2×C4C22×C22⋊D4718yes—
608C2×C4C22×C22⋊D4714yes—
609C2×C4C2×#1062535214yes—
610C22—24no—
611C22—24no—
612C22—24no—
613C22—42no—
614C22—42no—
615C22—42no—
616C22—42no—
617C22—416no—
618C22—944no—
619C22—944no—
620C22—944no—
621C22—1882no—
622C22—1882no—
623C22—1882no—
624C22—1882no—
625C22—18816no—
626C22C2×#1309399614yes—
627C22C22⋊Q8×D4714yes—
628C22#1568970314yes—
629C22Q8×C22⋊D4714yes—
630C22#1568979214yes—
631C22#1568983114yes—
632C22#1568984414yes—
633C22C22×D4×D4711yescharacteristic
634C22C23×C22⋊D4711yescharacteristic
635C22C22×Q8×D4711yescharacteristic
636C22C2×#41×D4711yescharacteristic
637C22C22×#1062535211yescharacteristic
638C22C2×#1309407011yescharacteristic
639C22C2×#1309407211yescharacteristic
640C4—28no—
641C4—42no—
642C4—44no—
643C4—478no—
644C4—944no—
645C4—1882no—
646C4—1884no—
647C4—1884no—
648C4C2×#1309399618yes—
649C2—44no—
650C2—1884no—
651C2#2024830718yesdirect product factor
652C2C22×#1309399611yescharacteristic
653C2C2×C22⋊Q8×D4711yescharacteristic
654C2C2×#1568970311yescharacteristic
655C2C2×Q8×C22⋊D4711yescharacteristic
656C2C2×#1568979211yescharacteristic
657C2C2×#1568983111yescharacteristic
658C2C2×#1568984411yescharacteristic
subgroupG/H
centerC24C23×D47
commutator, cosocleC23×C47C25
FrattiniC23C24×D47
FittingC22×C22⋊Q8×C47C2
socleC24×C47C24
prime radicalC23×C22⋊D47C22
hypercenterC22×C22⋊Q8D47
hypocenterC47C2×#2538
LCSG ▷ C23×C47 ▷ C47
UCSC1 ◁ C24 ◁ C22×C22⋊Q8

Complements

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

NH ≅ G/Ntype
1. C22×#13094000C2semidirect
2. C22×Q8×Dic47C2semidirect
4. #20248307C2direct (N × H)
5. C2×#15689046C2semidirect
6. C2×#15689045C2semidirect
8. C2×#15689018C2semidirect
9. C2×#15688992C2semidirect
10. C2×#15688983C2semidirect
11. C2×#15688980C2semidirect
12. C22×C22⋊Q8×C47C2semidirect
16. C2×#13094000C22semidirect
18. C2×Q8×Dic47C22semidirect
35. #15689046C22semidirect
36. #15689045C22semidirect
38. #15689018C22semidirect
39. #15688992C22semidirect
40. #15688983C22semidirect
41. #15688980C22semidirect
47. C2×C22⋊Q8×C47C22semidirect
54. C22×C22⋊D47Q8semidirect
101. C22×Q8×C47D4semidirect
138. C2×Q8×C47C2×D4semidirect
162. C2×C22⋊D47C2×Q8semidirect
274. C2×Dic47C22⋊Q8semidirect
319. Dic47C2×C22⋊Q8semidirect
321. C22×C22⋊Q8D47semidirect
333. C2×C47#2538semidirect
349. C2×C22⋊Q8C2×D47semidirect
380. C47C2×#2538semidirect
385. C22×Q8C22⋊D47semidirect
468. C2×Q8C2×C22⋊D47semidirect
651. C2#20248307direct (N × H)

Maximal subgroups

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

subgroupindex
C22×#130940002
C22×Q8×Dic472
C22×C4×C22⋊D472
#202483072
C2×#156890462
C2×#156890452
C2×#156890232
C2×#156890182
C2×#156889922
C2×#156889832
C2×#156889802
C22×C22⋊Q8×C472
C2×#253847