Finite Group Databasebeta

← #26217555

Subgroups — #26217555

Order 12032.

1842 conjugacy classes of subgroups.

The subgroup lattice has 700 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#15689606C211yesmaximal, characteristic, complemented
2C2×#15689124C211yesmaximal, characteristic, complemented
3C2×#15689119C211yesmaximal, characteristic, complemented
4C2×#15689090C211yesmaximal, characteristic, complemented
5#20243711C212yesmaximal, complemented
6#20243706C212yesmaximal, complemented
7#20243701C212yesmaximal, complemented
8#20243696C212yesmaximal, complemented
9#20243107C211yesmaximal, characteristic, complemented
10C2×#15688885C211yesmaximal, characteristic, complemented
11C2×C47×#537C211yesmaximal, characteristic
12C22×#10625329C2211yescharacteristic
13C23×C47⋊C8C2211yescharacteristic
14#15689606—24no—
15#15689606—24no—
16C2×Q8×Dic47—21no—
17C2×D4×Dic47—22no—
18C2×D4×Dic47—21no—
19C2×#13093983C2212yes—
20C2×#13093983C2211yescharacteristic
21C22×C4⋊Dic47C2212yes—
22C22×C4⋊Dic47C2211yescharacteristic
23#15689124—24no—
24#15689119—24no—
25C2×#13093948C2211yescharacteristic
26C2×#13093948C2211yescharacteristic
27C2×#13093948C2212yes—
28C2×#13093945C2211yescharacteristic
29C2×#13093945C2211yescharacteristic
30C2×#13093945C2212yes—
31#15689090—24no—
32C2×C22⋊(C47⋊C8)C2212yes—
33C2×C22⋊(C47⋊C8)C2212yes—
34#15688885C2212yes—
35#15688885C2212yes—
36#15688885C2212yes—
37#15688885C2212yes—
38C22×#41×C47C2211yescharacteristic
39C22×#41×C47C2211yescharacteristic
40C47×#537—24no—
41C47×#537C418yescomplemented
42C2×C22⋊Q8×C47—21no—
43C2×C22⋊Q8×C47C2212yes—
44C2×#121×C47—21no—
45C2×#121×C47—22no—
46C2×#121×C47C2212yes—
47C22×C4⋊C4×C47C2211yescharacteristic
48C23×Dic47—22no—
49C23×Dic47—21no—
50C2×#10625329—22no—
51C2×#10625329—22no—
52C2×#10625329—22no—
53C22×C47⋊C8—22no—
54C22×C47⋊C8—22no—
55C22×C47⋊C8—22no—
56C22×C47⋊C8C2311yescharacteristic
57C22×C47⋊C8C2311yescharacteristic
58C22×C47⋊C8C2312yes—
59Q8×Dic47—28no—
60D4×Dic47—216no—
61D4×Dic47—28no—
62#13093983—22no—
63#13093983—24no—
64#13093983—24no—
65#13093983D414yescomplemented
66C2×C4⋊Dic47—22no—
67C2×C4⋊Dic47—21no—
68C2×C4⋊Dic47—22no—
69C2×C4⋊Dic47—24no—
70C2×C4⋊Dic47—24no—
71C2×C4⋊Dic47D414yescomplemented
72C2×C4⋊Dic47C2311yescharacteristic
73C2×C4⋊Dic47C2312yes—
74C2×C4⋊Dic47C2311yescharacteristic
75C2×C22⋊Dic47—22no—
76C2×C22⋊Dic47—21no—
77C2×C4×Dic47—22no—
78C2×C4×Dic47—21no—
79#13093948—22no—
80#13093948—22no—
81#13093948—24no—
82#13093945—22no—
83#13093945—22no—
84#13093945—24no—
85C22⋊(C47⋊C8)—24no—
86C22⋊(C47⋊C8)—24no—
87C2×#41×C47—22no—
88C2×#41×C47—22no—
89C2×#41×C47—22no—
90C2×#41×C47—22no—
91C2×#41×C47—22no—
92C2×#41×C47—22no—
93C2×#41×C47—22no—
94C2×#41×C47—22no—
95C2×#41×C47—22no—
96C2×#41×C47C2×C414yes—
97C2×#41×C47C2×C414yescomplemented
98C2×#41×C47D414yes—
99C22×Q8×C47D411yescharacteristic
100C22×Q8×C47C2311yescharacteristic
101C22×D4×C47—21no—
102C22×D4×C47—22no—
103C22×D4×C47D412yes—
104C22×D4×C47D411yescharacteristic
105C22×D4×C47C2311yescharacteristic
106C23×C4×C47—21no—
107C23×C4×C47—21no—
108C23×C4×C47C2312yes—
109C23×C4×C47C2311yescharacteristic
110C22⋊Q8×C47—28no—
111C22⋊Q8×C47—24no—
112C22⋊Q8×C47C2×C418yescomplemented
113#121×C47—28no—
114#121×C47—216no—
115#121×C47—24no—
116#121×C47C2×C418yescomplemented
117C2×C4⋊C4×C47—21no—
118C2×C4⋊C4×C47—22no—
119C2×C4⋊C4×C47—22no—
120C2×C4⋊C4×C47C2×C414yescomplemented
121C2×C4⋊C4×C47C2312yes—
122C2×C22⋊C4×C47—22no—
123C2×C22⋊C4×C47—22no—
124C24×C47—21no—
125C24×C47C2×D412yes—
126C24×C47C2×D411yescharacteristic
127#41×C47—28no—
128#41×C47—28no—
129#41×C47—28no—
130#41×C47—28no—
131#41×C47—28no—
132#41×C47—28no—
133#41×C47—44no—
134#41×C47—44no—
135C2×Q8×C47—22no—
136C2×Q8×C47—22no—
137C2×Q8×C47—21no—
138C2×Q8×C47—21no—
139C2×Q8×C47—21no—
140C2×Q8×C47—21no—
141C2×Q8×C47—21no—
142C2×Q8×C47C22⋊C414yes—
143C2×Q8×C47C22×C412yes—
144C2×D4×C47—24no—
145C2×D4×C47—24no—
146C2×D4×C47—24no—
147C2×D4×C47—28no—
148C2×D4×C47—22no—
149C2×D4×C47—22no—
150C2×D4×C47—21no—
151C2×D4×C47—21no—
152C2×D4×C47—21no—
153C2×D4×C47—21no—
154C2×D4×C47—21no—
155C2×D4×C47—42no—
156C2×D4×C47—42no—
157C2×D4×C47—82no—
158C2×D4×C47—82no—
159C2×D4×C47C22⋊C418yes—
160C2×D4×C47C22⋊C414yes—
161C2×D4×C47C22×C412yes—
162C22×C4×C47—22no—
163C22×C4×C47—22no—
164C22×C4×C47—22no—
165C22×C4×C47—22no—
166C22×C4×C47—22no—
167C22×C4×C47—21no—
168C22×C4×C47—24no—
169C22×C4×C47—24no—
170C22×C4×C47—42no—
171C22×C4×C47—42no—
172C22×C4×C47—81no—
173C22×C4×C47—81no—
174C22×C4×C47C22×C414yes—
175C22×C4×C47C22×C412yes—
176C22×C4×C47C2×D412yes—
177C22×C4×C47C2×D414yes—
178C22×C4×C47C2×D411yescharacteristic
179C22×C4×C47C2×D412yes—
180C22×C4×C47C2×D412yes—
181C22×C4×C47C2×D412yes—
182C22×C4×C47#4112yes—
183C22×C4×C47#4112yes—
184C22×C4×C47C2411yescharacteristic
185C22×Dic47—21no—
186C22×Dic47—22no—
187C22×Dic47—21no—
188C22×Dic47—28no—
189C22×Dic47—24no—
190C22×Dic47—81no—
191C22×Dic47—82no—
192C22×Dic47—81no—
193C22×Dic47—82no—
194C4⋊C4×C47—24no—
195C4⋊C4×C47—28no—
196C4⋊C4×C47—22no—
197C4⋊C4×C47C22×C414yes—
198C22⋊C4×C47—28no—
199C22⋊C4×C47—28no—
200C22⋊Dic47—28no—
201C22⋊Dic47—24no—
202C4⋊Dic47—28no—
203C4⋊Dic47—24no—
204C4⋊Dic47—22no—
205C4⋊Dic47—21no—
206C4⋊Dic47—21no—
207C4⋊Dic47C2×D412yes—
208C4⋊Dic47C2×D414yes—
209C4⋊Dic47C2×D412yes—
210C4×Dic47—28no—
211C4×Dic47—24no—
212#10625329—44no—
213C2×C47⋊C8—21no—
214C2×C47⋊C8—21no—
215C2×C47⋊C8—22no—
216C2×C47⋊C8—21no—
217C2×C47⋊C8—21no—
218C2×C47⋊C8—22no—
219C2×C47⋊C8—21no—
220C2×C47⋊C8—21no—
221C2×C47⋊C8—22no—
222C2×C47⋊C8—44no—
223C23×C47—21no—
224C23×C47—21no—
225C23×C47—21no—
226C23×C47—21no—
227C23×C47—22no—
228C23×C47—22no—
229C23×C47—22no—
230C23×C47—22no—
231C23×C47—22no—
232C23×C47—22no—
233C23×C47—22no—
234C23×C47—41no—
235C23×C47—41no—
236C23×C47—41no—
237C23×C47—41no—
238C23×C47—41no—
239C23×C47—41no—
240C23×C47C2×C22⋊C414yes—
241C23×C47C2×C22⋊C412yes—
242C23×C47#12012yes—
243C23×C47#12312yes—
244C23×C47C22×D411yescharacteristic
245Q8×C47—28no—
246Q8×C47—22no—
247Q8×C47—22no—
248Q8×C47—41no—
249Q8×C47—41no—
250D4×C47—216no—
251D4×C47—22no—
252D4×C47—22no—
253D4×C47—28no—
254D4×C47—48no—
255D4×C47—41no—
256D4×C47—41no—
257D4×C47—88no—
258C2×C4×C47—22no—
259C2×C4×C47—22no—
260C2×C4×C47—24no—
261C2×C4×C47—24no—
262C2×C4×C47—24no—
263C2×C4×C47—24no—
264C2×C4×C47—24no—
265C2×C4×C47—22no—
266C2×C4×C47—41no—
267C2×C4×C47—41no—
268C2×C4×C47—42no—
269C2×C4×C47—42no—
270C2×C4×C47—48no—
271C2×C4×C47—84no—
272C2×C4×C47C2×C22⋊C414yes—
273C2×C4×C47C2×C22⋊C412yes—
274C2×C4×C47C4×D414yes—
275C2×C4×C47C4×D414yes—
276C2×C4×C47#12012yes—
277C2×C4×C47#12114yes—
278C2×C4×C47#12114yes—
279C2×C4×C47#12312yes—
280C2×C4×C47C23×C411yescharacteristic
281C2×C4×C47C22×D411yescharacteristic
282C2×C4×C47C22×D411yescharacteristic
283C2×C4×C47C22×D411yescharacteristic
284C2×C4×C47C2×#4111yescharacteristic
285C2×C4×C47C2×#4111yescharacteristic
286C2×Dic47—22no—
287C2×Dic47—24no—
288C2×Dic47—22no—
289C2×Dic47—42no—
290C2×Dic47—41no—
291C2×Dic47—41no—
292C2×Dic47—42no—
293C2×Dic47—41no—
294C2×Dic47—41no—
295C2×Dic47—84no—
296C2×Dic47—88no—
297C47⋊C8—41no—
298C47⋊C8—41no—
299C47⋊C8—42no—
300#20915—471nomaximal, Sylow
301C22×C47—22no—
302C22×C47—22no—
303C22×C47—22no—
304C22×C47—22no—
305C22×C47—22no—
306C22×C47—22no—
307C22×C47—24no—
308C22×C47—24no—
309C22×C47—24no—
310C22×C47—42no—
311C22×C47—42no—
312C22×C47—42no—
313C22×C47—42no—
314C22×C47—42no—
315C22×C47—42no—
316C22×C47—42no—
317C22×C47—81no—
318C22×C47—81no—
319C22×C47—81no—
320C22×C47—81no—
321C22×C47#38614yes—
322C22×C47C22×C22⋊C411yescharacteristic
323C22×C47C2×#12011yescharacteristic
324C22×C47C2×#12311yescharacteristic
325C22×C47#57611yescharacteristic
326C22×C47#57711yescharacteristic
327C22×C47#57711yescharacteristic
328C22×C47#57811yescharacteristic
329C4×C47—24no—
330C4×C47—44no—
331C4×C47—42no—
332C4×C47#38614yes—
333C4×C47C2×C4×D411yescharacteristic
334C4×C47C2×C4×D411yescharacteristic
335C4×C47C2×#12111yescharacteristic
336C4×C47C2×#12111yescharacteristic
337Dic47—44no—
338Dic47—42no—
339Dic47—42no—
340C2×#537D4711yescharacteristic
341C2×#520—471no—
342C2×#417—471no—
343C2×#416—471no—
344C2×#408—471no—
345#1875—472no—
346#1874—472no—
347#1873—472no—
348#1872—472no—
349#1736—471no—
350C2×#340—471no—
351C2×C47—24no—
352C2×C47—44no—
353C2×C47—82no—
354C2×C47C2×#38611yescharacteristic
355C2×C47#289711yescharacteristic
356C2×C47#289811yescharacteristic
357C2×C47#301211yescharacteristic
358C2×C47#301311yescharacteristic
359C2×C47#309811yescharacteristic
360C2×C47#309911yescharacteristic
361C22×#41C2×D4711yescharacteristic
362C22×#41C2×D4711yescharacteristic
363C22×M16—471no—
364C23×C8—471no—
365#537—24no—
366#537Dic4718yescomplemented
367C2×C22⋊Q8—21no—
368C2×C22⋊Q8C2×D4712yes—
369C2×#121—21no—
370C2×#121—22no—
371C2×#121C2×D4712yes—
372#520—944no—
373#520—944no—
374C2×C4×Q8—941no—
375C2×C4×D4—942no—
376C2×C4×D4—941no—
377C2×#117—471no—
378C2×#117—472no—
379C22×C4⋊C4—471no—
380C22×C4⋊C4—472no—
381C22×C4⋊C4C2×D4711yescharacteristic
382#417—944no—
383#416—944no—
384C2×#103—471no—
385C2×#103—471no—
386C2×#103—472no—
387C2×#102—471no—
388C2×#102—471no—
389C2×#102—472no—
390#408—944no—
391C2×C22⋊C8—472no—
392C2×C22⋊C8—472no—
393#340—472no—
394#340—472no—
395#340—472no—
396#340—472no—
397C47#2091511yescharacteristic, complemented, Sylow
398C2×#41—22no—
399C2×#41—22no—
400C2×#41—22no—
401C2×#41—22no—
402C2×#41—22no—
403C2×#41—22no—
404C2×#41—22no—
405C2×#41—22no—
406C2×#41—22no—
407C2×#41C2×Dic4714yes—
408C2×#41C2×Dic4714yescomplemented
409C2×#41C22⋊D4714yes—
410C22×Q8C22⋊D4711yescharacteristic
411C22×Q8C22×D4711yescharacteristic
412C22×D4—21no—
413C22×D4—22no—
414C22×D4C22⋊D4712yes—
415C22×D4C22⋊D4711yescharacteristic
416C22×D4C22×D4711yescharacteristic
417C23×C4—21no—
418C23×C4—21no—
419C23×C4—942no—
420C23×C4—941no—
421C23×C4C22×D4712yes—
422C23×C4C22×D4711yescharacteristic
423C2×M16—942no—
424C2×M16—942no—
425C2×M16—942no—
426C22×C8—471no—
427C22×C8—471no—
428C22×C8—472no—
429C22×C8—942no—
430C22×C8—942no—
431C22×C8—942no—
432C22⋊Q8—28no—
433C22⋊Q8—24no—
434C22⋊Q8C2×Dic4718yescomplemented
435#121—28no—
436#121—216no—
437#121—24no—
438#121C2×Dic4718yescomplemented
439C4×Q8—948no—
440C4×D4—9416no—
441C4×D4—948no—
442#117—474no—
443#117—944no—
444#117—944no—
445#117—942no—
446C2×C4⋊C4—21no—
447C2×C4⋊C4—22no—
448C2×C4⋊C4—22no—
449C2×C4⋊C4—474no—
450C2×C4⋊C4—472no—
451C2×C4⋊C4—471no—
452C2×C4⋊C4—471no—
453C2×C4⋊C4—944no—
454C2×C4⋊C4—944no—
455C2×C4⋊C4—942no—
456C2×C4⋊C4—942no—
457C2×C4⋊C4—941no—
458C2×C4⋊C4C2×Dic4714yescomplemented
459C2×C4⋊C4C22×D4712yes—
460C2×C22⋊C4—22no—
461C2×C22⋊C4—22no—
462C2×C22⋊C4—942no—
463C2×C22⋊C4—941no—
464C2×C42—942no—
465C2×C42—941no—
466#103—942no—
467#103—942no—
468#103—944no—
469#102—942no—
470#102—942no—
471#102—944no—
472C22⋊C8—944no—
473C22⋊C8—944no—
474C24—21no—
475C24C2×C22⋊D4712yes—
476C24C2×C22⋊D4711yescharacteristic
477#41—28no—
478#41—28no—
479#41—28no—
480#41—28no—
481#41—28no—
482#41—28no—
483#41—44no—
484#41—44no—
485C2×Q8—22no—
486C2×Q8—22no—
487C2×Q8—21no—
488C2×Q8—21no—
489C2×Q8—21no—
490C2×Q8—21no—
491C2×Q8—21no—
492C2×Q8C22⋊Dic4714yes—
493C2×Q8C22×Dic4712yes—
494C2×D4—24no—
495C2×D4—24no—
496C2×D4—24no—
497C2×D4—28no—
498C2×D4—22no—
499C2×D4—22no—
500C2×D4—21no—
501C2×D4—21no—
502C2×D4—21no—
503C2×D4—21no—
504C2×D4—21no—
505C2×D4—42no—
506C2×D4—42no—
507C2×D4—82no—
508C2×D4—82no—
509C2×D4C22⋊Dic4718yes—
510C2×D4C22⋊Dic4714yes—
511C2×D4C22×Dic4712yes—
512C22×C4—22no—
513C22×C4—22no—
514C22×C4—22no—
515C22×C4—22no—
516C22×C4—22no—
517C22×C4—21no—
518C22×C4—24no—
519C22×C4—24no—
520C22×C4—42no—
521C22×C4—42no—
522C22×C4—81no—
523C22×C4—81no—
524C22×C4—948no—
525C22×C4—944no—
526C22×C4—941no—
527C22×C4—942no—
528C22×C4—941no—
529C22×C4—3761no—
530C22×C4—3761no—
531C22×C4—3762no—
532C22×C4—3762no—
533C22×C4D4×D4712yes—
534C22×C4D4×D4712yes—
535C22×C4#1062535212yes—
536C22×C4#1062535212yes—
537C22×C4C22×Dic4714yes—
538C22×C4C22×Dic4712yes—
539C22×C4C2×C22⋊D4712yes—
540C22×C4C2×C22⋊D4714yes—
541C22×C4C2×C22⋊D4711yescharacteristic
542C22×C4C2×C22⋊D4712yes—
543C22×C4C23×D4711yescharacteristic
544M16—1884no—
545C2×C8—941no—
546C2×C8—941no—
547C2×C8—942no—
548C2×C8—941no—
549C2×C8—941no—
550C2×C8—942no—
551C2×C8—941no—
552C2×C8—941no—
553C2×C8—942no—
554C2×C8—1884no—
555C4⋊C4—24no—
556C4⋊C4—28no—
557C4⋊C4—22no—
558C4⋊C4—474no—
559C4⋊C4—472no—
560C4⋊C4—472no—
561C4⋊C4—948no—
562C4⋊C4—944no—
563C4⋊C4—941no—
564C4⋊C4—942no—
565C4⋊C4—941no—
566C4⋊C4C22×Dic4714yes—
567C22⋊C4—28no—
568C22⋊C4—28no—
569C22⋊C4—948no—
570C22⋊C4—944no—
571C42—948no—
572C42—944no—
573C23—21no—
574C23—21no—
575C23—21no—
576C23—21no—
577C23—22no—
578C23—22no—
579C23—22no—
580C23—22no—
581C23—22no—
582C23—22no—
583C23—22no—
584C23—41no—
585C23—41no—
586C23—41no—
587C23—41no—
588C23—41no—
589C23—41no—
590C23C2×C22⋊Dic4714yes—
591C23C2×C22⋊Dic4712yes—
592C23#1309399212yes—
593C23#1309400512yes—
594C23C22×C22⋊D4711yescharacteristic
595Q8—28no—
596Q8—22no—
597Q8—22no—
598Q8—41no—
599Q8—41no—
600D4—216no—
601D4—28no—
602D4—22no—
603D4—22no—
604D4—48no—
605D4—41no—
606D4—41no—
607D4—88no—
608C2×C4—22no—
609C2×C4—22no—
610C2×C4—24no—
611C2×C4—24no—
612C2×C4—24no—
613C2×C4—24no—
614C2×C4—24no—
615C2×C4—22no—
616C2×C4—41no—
617C2×C4—41no—
618C2×C4—42no—
619C2×C4—42no—
620C2×C4—48no—
621C2×C4—84no—
622C2×C4—942no—
623C2×C4—944no—
624C2×C4—942no—
625C2×C4—3764no—
626C2×C4—3768no—
627C2×C4—1882no—
628C2×C4—1881no—
629C2×C4—1882no—
630C2×C4—1881no—
631C2×C4—1881no—
632C2×C4—1881no—
633C2×C4C2×C22⋊Dic4714yes—
634C2×C4C2×C22⋊Dic4712yes—
635C2×C4D4×Dic4714yes—
636C2×C4D4×Dic4714yes—
637C2×C4#1309399212yes—
638C2×C4#1309399614yes—
639C2×C4#1309399614yes—
640C2×C4#1309400512yes—
641C2×C4C23×Dic4711yescharacteristic
642C2×C4C2×D4×D4711yescharacteristic
643C2×C4C2×D4×D4711yescharacteristic
644C2×C4C22×C22⋊D4711yescharacteristic
645C2×C4C2×#1062535211yescharacteristic
646C2×C4C2×#1062535211yescharacteristic
647C8—1881no—
648C8—1881no—
649C8—1882no—
650C22—22no—
651C22—22no—
652C22—22no—
653C22—22no—
654C22—22no—
655C22—22no—
656C22—24no—
657C22—24no—
658C22—24no—
659C22—42no—
660C22—42no—
661C22—42no—
662C22—42no—
663C22—42no—
664C22—42no—
665C22—42no—
666C22—81no—
667C22—81no—
668C22—81no—
669C22—81no—
670C22#1568900314yes—
671C22C22×C22⋊Dic4711yescharacteristic
672C22C2×#1309399211yescharacteristic
673C22C2×#1309400511yescharacteristic
674C22#1568992611yescharacteristic
675C22#1568993111yescharacteristic
676C22#1568993411yescharacteristic
677C22#1568993811yescharacteristic
678C4—24no—
679C4—44no—
680C4—42no—
681C4—1884no—
682C4—1882no—
683C4—1882no—
684C4#1568900314yes—
685C4C2×D4×Dic4711yescharacteristic
686C4C2×D4×Dic4711yescharacteristic
687C4C2×#1309399611yescharacteristic
688C4C2×#1309399611yescharacteristic
689C2—24no—
690C2—44no—
691C2—82no—
692C2C2×#1568900311yescharacteristic
693C2#2025191411yescharacteristic
694C2#2025192111yescharacteristic
695C2#2025268911yescharacteristic
696C2#2025270011yescharacteristic
697C2#2025336211yescharacteristic
698C2#2025337311yescharacteristic
subgroupG/H
centerC23C22×C22⋊D47
commutatorC2×C4×C47C23×C4
FrattiniC22×C4C23×D47
Fitting, prime radicalC2×C47×#537C2
socleC23×C47C22×D4
cosocleC22×C4×C47C24
hypercenterC2×#537D47
hypocenterC47#20915
LCSG ▷ C2×C4×C47 ▷ C2×C47 ▷ C47
UCSC1 ◁ C23 ◁ C22×#41 ◁ C2×#537

Complements

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

NH ≅ G/Ntype
1. C2×#15689606C2semidirect
2. C2×#15689124C2semidirect
3. C2×#15689119C2semidirect
4. C2×#15689090C2semidirect
5. #20243711C2semidirect
6. #20243706C2semidirect
7. #20243701C2semidirect
8. #20243696C2semidirect
9. #20243107C2semidirect
10. C2×#15688885C2semidirect
41. C47×#537C4semidirect
65. #13093983D4semidirect
71. C2×C4⋊Dic47D4semidirect
97. C2×#41×C47C2×C4semidirect
112. C22⋊Q8×C47C2×C4semidirect
116. #121×C47C2×C4semidirect
120. C2×C4⋊C4×C47C2×C4semidirect
366. #537Dic47semidirect
397. C47#20915semidirect
408. C2×#41C2×Dic47semidirect
434. C22⋊Q8C2×Dic47semidirect
438. #121C2×Dic47semidirect
458. C2×C4⋊C4C2×Dic47semidirect

Maximal subgroups

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

subgroupindex
C2×#156896062
C2×#156891242
C2×#156891192
C2×#156890902
#202437112
#202437062
#202437012
#202436962
#202431072
C2×#156888852
C2×C47×#5372
#2091547