Finite Group Databasebeta

← C2×#20246840 #26384236

Subgroups — C2×#20246840 #26384236

Order 12032.

3830 conjugacy classes of subgroups.

The subgroup lattice has 664 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×#13094000C211yesmaximal, characteristic, complemented
2C22×C4×C22⋊D47C211yesmaximal, characteristic
3C23×C4⋊Dic47C211yesmaximal, characteristic, complemented
4#20246840C2116yesmaximal, direct product factor
5C2×#15689056C212yesmaximal, complemented
6C2×#15689045C212yesmaximal, complemented
7C2×#15689030C211yesmaximal, characteristic, complemented
8C2×#15689019C211yesmaximal, characteristic, complemented
9C2×#15689000C212yesmaximal
10C2×#15688981C212yesmaximal, complemented
11C2×#15688980C211yesmaximal, characteristic, complemented
12C22×C22⋊Q8×C47C211yesmaximal, characteristic, complemented
13C23×C22⋊D47C2211yescharacteristic
14C24×Dic47C2212yes—
15C23×C4×D47C2211yescharacteristic
16C2×#13094000—28no—
17C2×#13094000C2218yescomplemented
18C2×C4×C22⋊D47—28no—
19C2×C4×C22⋊D47C2218yes—
20C22×C4⋊Dic47—28no—
21C22×C4⋊Dic47C2212yes—
22C22×C4⋊Dic47C2211yescharacteristic
23C22×C4⋊Dic47C2211yescharacteristic
24C22×C4⋊Dic47C2218yescomplemented
25C22×Dic47⋊C4C2211yescharacteristic
26C22×Dic47⋊C4C2212yes—
27C22×Dic47⋊C4C2212yes—
28C22×C22⋊Dic47C2211yescharacteristic
29C22×(C2×D47)⋊C4C2212yes—
30C22×(C2×D47)⋊C4C2211yescharacteristic
31C22×(C2×D47)⋊C4C2212yes—
32C22×C4×Dic47C2211yescharacteristic
33#15689056C22116yescomplemented
34#15689045C22116yescomplemented
35#15689030C2218yescomplemented
36#15689019C2218yescomplemented
37#15689000C22116yes—
38#15688981C22116yescomplemented
39#15688980C2218yescomplemented
40C2×C47⋊#95C2212yes—
41C2×C47⋊#95C2212yes—
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×Dic47—28no—
57C23×Dic47—28no—
58C23×Dic47—44no—
59C23×Dic47C2312yes—
60C23×Dic47C2311yescharacteristic
61C23×Dic47C2311yescharacteristic
62C23×Dic47C2318yes—
63C23×Dic47C2312yes—
64C23×Dic47C2311yescharacteristic
65C22×C4×D47—24no—
66C22×C4×D47—24no—
67C22×C4×D47—24no—
68C22×C4×D47C2314yes—
69#13094000—232no—
70C4×C22⋊D47—232no—
71C2×C4⋊Dic47—24no—
72C2×C4⋊Dic47—28no—
73C2×C4⋊Dic47—232no—
74C2×C4⋊Dic47D418yescomplemented
75C2×C4⋊Dic47C2314yes—
76C2×C4⋊Dic47C2318yes—
77C2×C4⋊Dic47C2314yes—
78C2×Dic47⋊C4—24no—
79C2×Dic47⋊C4—28no—
80C2×Dic47⋊C4—44no—
81C2×Dic47⋊C4C2318yes—
82C2×Dic47⋊C4C2314yes—
83C2×Dic47⋊C4C2318yes—
84C2×C22⋊Dic47—24no—
85C2×C22⋊Dic47C2314yes—
86C2×(C2×D47)⋊C4—24no—
87C2×(C2×D47)⋊C4—28no—
88C2×(C2×D47)⋊C4—44no—
89C2×(C2×D47)⋊C4C2318yes—
90C2×(C2×D47)⋊C4C2314yes—
91C2×(C2×D47)⋊C4C2318yes—
92C2×C4×Dic47—24no—
93C2×C4×Dic47C2314yes—
94C47⋊#95C2318yes—
95C47⋊#95C2318yes—
96C47⋊#95C2318yes—
97C47⋊#95C2318yes—
98C25×C47C2311yescharacteristic
99C22×Q8×C47—24no—
100C22×Q8×C47—24no—
101C22×Q8×C47—24no—
102C22×Q8×C47C2314yes—
103C23×C4×C47—24no—
104C23×C4×C47—24no—
105C23×C4×C47D418yes—
106C23×C4×C47C2312yes—
107C23×C4×C47C2312yes—
108C23×C4×C47C2311yescharacteristic
109C23×C4×C47C2314yes—
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×C47C2×D414yes—
123C24×C47C2×Q814yes—
124C24×C47#4114yes—
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—28no—
136C2×Q8×C47—28no—
137C2×Q8×C47—28no—
138C2×Q8×C47—416no—
139C22×C4×C47—22no—
140C22×C4×C47—22no—
141C22×C4×C47—232no—
142C22×C4×C47—28no—
143C22×C4×C47—28no—
144C22×C4×C47—24no—
145C22×C4×C47—24no—
146C22×C4×C47—24no—
147C22×C4×C47—24no—
148C22×C4×C47—24no—
149C22×C4×C47—24no—
150C22×C4×C47C2×D414yes—
151C22×C4×C47C2×D4116yes—
152C22×C4×C47C2×D414yes—
153C22×C4×C47C2×D414yes—
154C22×C4×C47#4114yes—
155C22×C4×C47C2414yes—
156C22×C4×C47C2414yes—
157C22×C4×C47C2412yes—
158C22×C4×C47C2412yes—
159C2×C22⋊D47—232no—
160C2×C22⋊D47—28no—
161C2×C22⋊D47—28no—
162C2×C22⋊D47C2×Q8116yescomplemented
163C22×Dic47—22no—
164C22×Dic47—24no—
165C22×Dic47—22no—
166C22×Dic47—24no—
167C22×Dic47—22no—
168C22×Dic47—22no—
169C22×Dic47—22no—
170C22×Dic47—24no—
171C22×Dic47—22no—
172C22×Dic47—216no—
173C22×Dic47—24no—
174C22×Dic47—24no—
175C22×Dic47—22no—
176C22×Dic47—22no—
177C22×Dic47—216no—
178C22×Dic47—48no—
179C22×Dic47—432no—
180C22×Dic47C2×D418yes—
181C22×Dic47C2×Q814yes—
182C22×Dic47C2414yes—
183C22×Dic47C2412yes—
184C22×Dic47C2412yes—
185C22×Dic47C2414yes—
186C22×Dic47C2412yes—
187C2×C4×D47—28no—
188C2×C4×D47—28no—
189C2×C4×D47—28no—
190C2×C4×D47—416no—
191C4⋊C4×C47—28no—
192C4⋊C4×C47—216no—
193C22⋊C4×C47—216no—
194C22⋊Dic47—28no—
195(C2×D47)⋊C4—28no—
196(C2×D47)⋊C4—216no—
197(C2×D47)⋊C4—48no—
198C4⋊Dic47—28no—
199C4⋊Dic47—216no—
200C4⋊Dic47C2×D4116yescomplemented
201Dic47⋊C4—28no—
202Dic47⋊C4—216no—
203Dic47⋊C4—48no—
204C4×Dic47—28no—
205C23×C47—28no—
206C23×C47—28no—
207C23×C47—28no—
208C23×C47—28no—
209C23×C47—28no—
210C23×C47—28no—
211C23×C47—22no—
212C23×C47—22no—
213C23×C47—22no—
214C23×C47—22no—
215C23×C47C22⋊Q8116yescomplemented
216C23×C47C22×D412yes—
217C23×C47C22×D414yes—
218C23×C47C22×D412yes—
219C23×C47C22×Q814yes—
220C23×C47C22×Q812yes—
221C23×C47C2×#4112yes—
222C23×C47C2×#4114yes—
223C23×C47C2×#4112yes—
224C23×C47H(5,𝔽2)12yes—
225C23×C472−1+412yes—
226C23×C47C2511yescharacteristic
227C22×D47—28no—
228C22×D47—28no—
229C22×D47—28no—
230C22×D47—22no—
231C22×D47—22no—
232C22×D47—22no—
233C22×D47—22no—
234C22×D47—22no—
235C22×D47—22no—
236C22×D47—44no—
237C22×D47—44no—
238C22×D47—44no—
239C22×D47—44no—
240C22×D47C22×Q814yes—
241Q8×C47—416no—
242C2×C4×C47—28no—
243C2×C4×C47—22no—
244C2×C4×C47—22no—
245C2×C4×C47—232no—
246C2×C4×C47—24no—
247C2×C4×C47—24no—
248C2×C4×C47—24no—
249C2×C4×C47—24no—
250C2×C4×C47—24no—
251C2×C4×C47—24no—
252C2×C4×C47—48no—
253C2×C4×C47—48no—
254C2×C4×C47#121116yes—
255C2×C4×C47C22×D414yes—
256C2×C4×C47C22×D414yes—
257C2×C4×C47C22×D414yes—
258C2×C4×C47C2×#4114yes—
259C22⋊D47—232no—
260C2×Dic47—28no—
261C2×Dic47—216no—
262C2×Dic47—22no—
263C2×Dic47—24no—
264C2×Dic47—22no—
265C2×Dic47—24no—
266C2×Dic47—22no—
267C2×Dic47—22no—
268C2×Dic47—22no—
269C2×Dic47—24no—
270C2×Dic47—22no—
271C2×Dic47—24no—
272C2×Dic47—22no—
273C2×Dic47—24no—
274C2×Dic47—22no—
275C2×Dic47—432no—
276C2×Dic47—44no—
277C2×Dic47—44no—
278C2×Dic47—48no—
279C2×Dic47C22×D418yes—
280C2×Dic47C22×Q814yes—
281C4×D47—416no—
282C2×#2417—471nomaximal, Sylow
283C22×C47—24no—
284C22×C47—232no—
285C22×C47—24no—
286C22×C47—24no—
287C22×C47—24no—
288C22×C47—24no—
289C22×C47—24no—
290C22×C47C2×#12114yes—
291C22×C47C2×C22⋊Q814yes—
292C22×C47C2×C22⋊Q818yescomplemented
293C22×C47#53714yes—
294C22×C47#54614yes—
295C22×C47D4×Q814yes—
296C22×C47#55214yes—
297C22×C47#55414yes—
298C22×C47C23×D411yescharacteristic
299C22×C47C23×D411yescharacteristic
300C22×C47C23×Q811yescharacteristic
301C22×C47C22×#4111yescharacteristic
302C22×C47C22×#4111yescharacteristic
303C22×C47C2×H(5,𝔽2)11yescharacteristic
304C22×C47C2×2−1+411yescharacteristic
305C2×D47—24no—
306C2×D47—24no—
307C2×D47—24no—
308C2×D47—42no—
309C2×D47—416no—
310C2×D47—42no—
311C2×D47—42no—
312C2×D47—42no—
313C4×C47—24no—
314C4×C47—44no—
315C4×C47—44no—
316C4×C47C2×#12118yes—
317Dic47—24no—
318Dic47—28no—
319Dic47—42no—
320Dic47—42no—
321Dic47—44no—
322C22×C22⋊Q8—471no—
323C22×C22⋊Q8D4711yescharacteristic, complemented
324C22×C4×D4—471no—
325C23×C4⋊C4—471no—
326#2417—4716no—
327C2×#398—472no—
328C2×#396—472no—
329C2×#391—471no—
330C2×#389—471no—
331C2×#386—472no—
332C2×#380—471no—
333C2×#380—472no—
334C2×C47—28no—
335C2×C47#241718yescomplemented
336C2×C47C22×#12111yescharacteristic
337C2×C47C22×C22⋊Q811yescharacteristic
338C2×C47C2×#53711yescharacteristic
339C2×C47C2×#54611yescharacteristic
340C2×C47C2×D4×Q811yescharacteristic
341C2×C47C2×#55211yescharacteristic
342C2×C47C2×#55411yescharacteristic
343D47—44no—
344C23×Q8C2×D4711yescharacteristic
345C23×D4—471no—
346C24×C4—472no—
347C24×C4—471no—
348C24×C4C2×D4711yescharacteristic
349C2×C22⋊Q8—28no—
350C2×C22⋊Q8—478no—
351C2×C22⋊Q8—948no—
352C2×C22⋊Q8C2×D4718yescomplemented
353C2×C4×D4—478no—
354C2×C4×D4—948no—
355C22×C4⋊C4—471no—
356C22×C4⋊C4—472no—
357C22×C4⋊C4—471no—
358C22×C4⋊C4—472no—
359C22×C4⋊C4—471no—
360C22×C4⋊C4—478no—
361C22×C4⋊C4—472no—
362C22×C4⋊C4—948no—
363C22×C4⋊C4C2×D4712yes—
364C22×C4⋊C4C2×D4711yescharacteristic
365C22×C22⋊C4—471no—
366C22×C22⋊C4—471no—
367C22×C22⋊C4—472no—
368C22×C22⋊C4—472no—
369C22×C22⋊C4C2×D4712yes—
370C22×C42—471no—
371#398—4716no—
372#396—4716no—
373#391—478no—
374#389—478no—
375#386—4716no—
376#380—478no—
377#380—4716no—
378C2×#95—472no—
379C2×#95—472no—
380C2×#95—472no—
381C2×#95—472no—
382C47C2×#241711yescharacteristic, complemented, Sylow
383C25—471no—
384C25C22×D4711yescharacteristic
385C22×Q8—24no—
386C22×Q8—24no—
387C22×Q8—24no—
388C22×Q8C22×D4714yes—
389C22×D4—478no—
390C22×D4—474no—
391C22×D4—944no—
392C22×D4—944no—
393C23×C4—24no—
394C23×C4—24no—
395C23×C4—472no—
396C23×C4—471no—
397C23×C4—471no—
398C23×C4—471no—
399C23×C4—472no—
400C23×C4—478no—
401C23×C4—474no—
402C23×C4—948no—
403C23×C4—948no—
404C23×C4—944no—
405C23×C4—944no—
406C23×C4—944no—
407C23×C4—1884no—
408C23×C4C22⋊D4718yes—
409C23×C4C22×D4712yes—
410C23×C4C22×D4712yes—
411C23×C4C22×D4714yes—
412C23×C4C22×D4711yescharacteristic
413C23×C4C22×D4711yescharacteristic
414C22⋊Q8—232no—
415C22⋊Q8—9432no—
416C4×D4—9432no—
417C2×C4⋊C4—24no—
418C2×C4⋊C4—28no—
419C2×C4⋊C4—478no—
420C2×C4⋊C4—474no—
421C2×C4⋊C4—474no—
422C2×C4⋊C4—478no—
423C2×C4⋊C4—474no—
424C2×C4⋊C4—478no—
425C2×C4⋊C4—478no—
426C2×C4⋊C4—9432no—
427C2×C4⋊C4—948no—
428C2×C4⋊C4—948no—
429C2×C4⋊C4—944no—
430C2×C4⋊C4—944no—
431C2×C4⋊C4—1884no—
432C2×C4⋊C4C22×D4714yes—
433C2×C4⋊C4C22×D4718yes—
434C2×C22⋊C4—28no—
435C2×C22⋊C4—474no—
436C2×C22⋊C4—474no—
437C2×C22⋊C4—478no—
438C2×C22⋊C4—478no—
439C2×C22⋊C4—948no—
440C2×C22⋊C4—944no—
441C2×C22⋊C4—944no—
442C2×C22⋊C4—1884no—
443C2×C22⋊C4C22×D4718yes—
444C2×C42—474no—
445C2×C42—944no—
446#95—478no—
447#95—478no—
448#95—478no—
449#95—478no—
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—
463C24#1062535414yes—
464C24C2×C22⋊D4714yes—
465C24C23×D4712yes—
466C24C23×D4711yescharacteristic
467C2×Q8—28no—
468C2×Q8—28no—
469C2×Q8—28no—
470C2×Q8—416no—
471C2×D4—4716no—
472C2×D4—9432no—
473C2×D4—948no—
474C2×D4—948no—
475C22×C4—22no—
476C22×C4—22no—
477C22×C4—232no—
478C22×C4—28no—
479C22×C4—28no—
480C22×C4—24no—
481C22×C4—24no—
482C22×C4—24no—
483C22×C4—24no—
484C22×C4—24no—
485C22×C4—24no—
486C22×C4—478no—
487C22×C4—474no—
488C22×C4—472no—
489C22×C4—474no—
490C22×C4—474no—
491C22×C4—472no—
492C22×C4—472no—
493C22×C4—9416no—
494C22×C4—942no—
495C22×C4—944no—
496C22×C4—942no—
497C22×C4—944no—
498C22×C4—944no—
499C22×C4—942no—
500C22×C4—942no—
501C22×C4—942no—
502C22×C4—942no—
503C22×C4—9416no—
504C22×C4—944no—
505C22×C4—944no—
506C22×C4—942no—
507C22×C4—942no—
508C22×C4—948no—
509C22×C4—948no—
510C22×C4—948no—
511C22×C4—1888no—
512C22×C4—18832no—
513C22×C4—18816no—
514C22×C4D4×D4714yes—
515C22×C4#1062535214yes—
516C22×C4C2×C22⋊D4714yes—
517C22×C4C2×C22⋊D47116yes—
518C22×C4C2×C22⋊D4714yes—
519C22×C4C23×D4714yes—
520C22×C4C23×D4714yes—
521C22×C4C23×D4712yes—
522C22×C4C23×D4712yes—
523C4⋊C4—28no—
524C4⋊C4—216no—
525C4⋊C4—4716no—
526C4⋊C4—9416no—
527C4⋊C4—9416no—
528C4⋊C4—948no—
529C4⋊C4—948no—
530C4⋊C4—1888no—
531C22⋊C4—216no—
532C22⋊C4—9416no—
533C22⋊C4—948no—
534C22⋊C4—948no—
535C22⋊C4—1888no—
536C42—948no—
537C23—28no—
538C23—28no—
539C23—28no—
540C23—28no—
541C23—28no—
542C23—22no—
543C23—22no—
544C23—22no—
545C23—22no—
546C23—28no—
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—
561C23#13094000116yescomplemented
562C23C2×D4×D4712yes—
563C23C22×C22⋊D4714yes—
564C23C22×C22⋊D4712yes—
565C23C2×Q8×D4714yes—
566C23C2×Q8×D4712yes—
567C23C2×#1062535212yes—
568C23C2×#1062535414yes—
569C23C2×#1062535412yes—
570C23#1309407012yes—
571C23#1309407112yes—
572C23C24×D4711yescharacteristic
573Q8—416no—
574D4—9432no—
575C2×C4—28no—
576C2×C4—22no—
577C2×C4—22no—
578C2×C4—232no—
579C2×C4—24no—
580C2×C4—24no—
581C2×C4—24no—
582C2×C4—24no—
583C2×C4—24no—
584C2×C4—24no—
585C2×C4—48no—
586C2×C4—48no—
587C2×C4—478no—
588C2×C4—474no—
589C2×C4—9416no—
590C2×C4—948no—
591C2×C4—942no—
592C2×C4—944no—
593C2×C4—942no—
594C2×C4—944no—
595C2×C4—944no—
596C2×C4—942no—
597C2×C4—942no—
598C2×C4—942no—
599C2×C4—942no—
600C2×C4—944no—
601C2×C4—944no—
602C2×C4—942no—
603C2×C4—942no—
604C2×C4—18832no—
605C2×C4—1888no—
606C2×C4—1884no—
607C2×C4—1884no—
608C2×C4—18816no—
609C2×C4#13093996116yes—
610C2×C4C2×D4×D4714yes—
611C2×C4C22×C22⋊D4714yes—
612C2×C4C22×C22⋊D4714yes—
613C2×C4C2×#1062535214yes—
614C22—232no—
615C22—24no—
616C22—24no—
617C22—24no—
618C22—24no—
619C22—24no—
620C22—24no—
621C22—944no—
622C22—944no—
623C22—944no—
624C22—18816no—
625C22—1882no—
626C22—1882no—
627C22—1882no—
628C22—1882no—
629C22C2×#1309399614yes—
630C22C2×#1309400014yes—
631C22C2×#1309400018yescomplemented
632C22#1568970114yes—
633C22#1568976414yes—
634C22#1568978614yes—
635C22#1568981514yes—
636C22#1568983114yes—
637C22C22×D4×D4711yescharacteristic
638C22C23×C22⋊D4711yescharacteristic
639C22C22×Q8×D4711yescharacteristic
640C22C22×#1062535211yescharacteristic
641C22C22×#1062535411yescharacteristic
642C22C2×#1309407011yescharacteristic
643C22C2×#1309407111yescharacteristic
644C4—24no—
645C4—44no—
646C4—44no—
647C4—948no—
648C4—944no—
649C4—1884no—
650C4—1882no—
651C4—1882no—
652C4C2×#1309399618yes—
653C2—28no—
654C2—1884no—
655C2#2024684018yesdirect product factor
656C2C22×#1309399611yescharacteristic
657C2C22×#1309400011yescharacteristic
658C2C2×#1568970111yescharacteristic
659C2C2×#1568976411yescharacteristic
660C2C2×#1568978611yescharacteristic
661C2C2×#1568981511yescharacteristic
662C2C2×#1568983111yescharacteristic
subgroupG/H
centerC24C23×D47
commutator, cosocleC23×C47C25
FrattiniC23C24×D47
FittingC22×C22⋊Q8×C47C2
socleC24×C47C24
prime radicalC23×C22⋊D47C22
hypercenterC22×C22⋊Q8D47
hypocenterC47C2×#2417
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
3. C23×C4⋊Dic47C2semidirect
4. #20246840C2direct (N × H)
5. C2×#15689056C2semidirect
6. C2×#15689045C2semidirect
7. C2×#15689030C2semidirect
8. C2×#15689019C2semidirect
10. C2×#15688981C2semidirect
11. C2×#15688980C2semidirect
12. C22×C22⋊Q8×C47C2semidirect
17. C2×#13094000C22semidirect
24. C22×C4⋊Dic47C22semidirect
33. #15689056C22semidirect
34. #15689045C22semidirect
35. #15689030C22semidirect
36. #15689019C22semidirect
38. #15688981C22semidirect
39. #15688980C22semidirect
47. C2×C22⋊Q8×C47C22semidirect
54. C22×C22⋊D47Q8semidirect
74. C2×C4⋊Dic47D4semidirect
162. C2×C22⋊D47C2×Q8semidirect
200. C4⋊Dic47C2×D4semidirect
215. C23×C47C22⋊Q8semidirect
292. C22×C47C2×C22⋊Q8semidirect
323. C22×C22⋊Q8D47semidirect
335. C2×C47#2417semidirect
352. C2×C22⋊Q8C2×D47semidirect
382. C47C2×#2417semidirect
561. C23#13094000semidirect
631. C22C2×#13094000semidirect
655. C2#20246840direct (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×C4×C22⋊D472
C23×C4⋊Dic472
#202468402
C2×#156890562
C2×#156890452
C2×#156890302
C2×#156890192
C2×#156890002
C2×#156889812
C2×#156889802
C22×C22⋊Q8×C472
C2×#241747