Finite Group Databasebeta

← #26217552

Subgroups — #26217552

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×#15689701C211yesmaximal, characteristic
2C2×#15689122C211yesmaximal, characteristic, complemented
3C2×#15689117C211yesmaximal, characteristic, complemented
4C2×#15689090C211yesmaximal, characteristic, complemented
5#20243710C212yesmaximal, complemented
6#20243705C212yesmaximal, complemented
7#20243700C212yesmaximal, complemented
8#20243695C212yesmaximal, complemented
9#20243109C211yesmaximal, characteristic, complemented
10C2×#15688885C211yesmaximal, characteristic, complemented
11C2×C47×#520C211yesmaximal, characteristic, complemented
12C22×#10625350C2211yescharacteristic
13C22×#10625329C2211yescharacteristic
14C23×C47⋊C8C2211yescharacteristic
15#15689701—24no—
16#15689701C418yescomplemented
17C2×#13094003C2212yes—
18C2×#13094000—21no—
19C2×#13093998C2212yes—
20C2×#13093996—22no—
21C2×#13093995—21no—
22C22×C4⋊Dic47C2211yescharacteristic
23#15689122—24no—
24#15689117—24no—
25C2×#13093947C2211yescharacteristic
26C2×#13093947C2211yescharacteristic
27C2×#13093947C2212yes—
28C2×#13093944C2211yescharacteristic
29C2×#13093944C2211yescharacteristic
30C2×#13093944C2212yes—
31#15689090—24no—
32C2×C22⋊(C47⋊C8)C2212yes—
33C2×C22⋊(C47⋊C8)C2212yes—
34#15688885C2212yes—
35#15688885C2212yes—
36#15688885C2212yes—
37#15688885C2212yes—
38C22×#41×C47C2211yescharacteristic
39C47×#520—24no—
40C47×#520—24no—
41C2×C4×Q8×C47—21no—
42C2×C4×D4×C47—21no—
43C2×C4×D4×C47—22no—
44C2×#117×C47C2212yes—
45C2×#117×C47C2211yescharacteristic
46C22×C4⋊C4×C47C2212yes—
47C22×C4⋊C4×C47C2211yescharacteristic
48C2×#10625350—22no—
49C2×#10625350—22no—
50C2×#10625350—22no—
51C2×#10625350—22no—
52C2×#10625350—22no—
53C2×#10625350C2×C414yescomplemented
54C22×Dic94C2311yescharacteristic
55C22×D188C2311yescharacteristic
56C22×C22⋊D47—21no—
57C22×C22⋊D47—22no—
58C23×Dic47—21no—
59C22×C4×D47—21no—
60C2×#10625329—22no—
61C2×#10625329—22no—
62C2×#10625329—22no—
63C22×C47⋊C8—22no—
64C22×C47⋊C8—22no—
65C22×C47⋊C8—22no—
66C22×C47⋊C8C2311yescharacteristic
67C22×C47⋊C8C2311yescharacteristic
68C22×C47⋊C8C2312yes—
69#13094003—24no—
70#13094003C2×C418yescomplemented
71#13094000—28no—
72#13093998—24no—
73#13093998C2×C418yescomplemented
74#13093996—216no—
75#13093995—28no—
76C2×C4⋊Dic47—21no—
77C2×C4⋊Dic47—22no—
78C2×C4⋊Dic47C2×C414yescomplemented
79C2×C4⋊Dic47C2312yes—
80C2×Dic47⋊C4—22no—
81C2×C22⋊Dic47—22no—
82C2×(C2×D47)⋊C4—22no—
83#13093947—22no—
84#13093947—22no—
85#13093947—24no—
86#13093944—22no—
87#13093944—22no—
88#13093944—24no—
89C22⋊(C47⋊C8)—24no—
90C22⋊(C47⋊C8)—24no—
91C2×#41×C47—22no—
92C2×#41×C47—22no—
93C2×#41×C47—22no—
94C2×#41×C47—22no—
95C2×#41×C47C2×C414yes—
96C2×#41×C47D414yes—
97C22×Q8×C47D411yescharacteristic
98C22×D4×C47D411yescharacteristic
99C22×D4×C47D412yes—
100C23×C4×C47—22no—
101C23×C4×C47—21no—
102C23×C4×C47C2312yes—
103C23×C4×C47C2311yescharacteristic
104C4×Q8×C47—28no—
105C4×D4×C47—216no—
106C4×D4×C47—28no—
107#117×C47—22no—
108#117×C47—24no—
109#117×C47—24no—
110#117×C47D414yescomplemented
111C2×C4⋊C4×C47—22no—
112C2×C4⋊C4×C47—21no—
113C2×C4⋊C4×C47—22no—
114C2×C4⋊C4×C47—24no—
115C2×C4⋊C4×C47—24no—
116C2×C4⋊C4×C47D414yescomplemented
117C2×C4⋊C4×C47C2311yescharacteristic
118C2×C4⋊C4×C47C2312yes—
119C2×C4⋊C4×C47C2311yescharacteristic
120C2×C22⋊C4×C47—22no—
121C2×C22⋊C4×C47—21no—
122C2×C42×C47—22no—
123C2×C42×C47—21no—
124C24×C47C2×D412yes—
125C24×C47C2×D411yescharacteristic
126C23×D47—21no—
127#41×C47—28no—
128#41×C47—28no—
129#41×C47—28no—
130#41×C47—28no—
131C2×Q8×C47—22no—
132C2×Q8×C47—22no—
133C2×Q8×C47C22⋊C414yes—
134C2×D4×C47—24no—
135C2×D4×C47—24no—
136C2×D4×C47—22no—
137C2×D4×C47—22no—
138C2×D4×C47C22⋊C414yes—
139C2×D4×C47C22⋊C418yes—
140C22×C4×C47—22no—
141C22×C4×C47—22no—
142C22×C4×C47—22no—
143C22×C4×C47—22no—
144C22×C4×C47—21no—
145C22×C4×C47—22no—
146C22×C4×C47—21no—
147C22×C4×C47—28no—
148C22×C4×C47—24no—
149C22×C4×C47—81no—
150C22×C4×C47—82no—
151C22×C4×C47—81no—
152C22×C4×C47—82no—
153C22×C4×C47C22×C414yes—
154C22×C4×C47C22×C412yes—
155C22×C4×C47C2×D412yes—
156C22×C4×C47C2×D414yes—
157C22×C4×C47C2×D411yescharacteristic
158C22×C4×C47C2×D412yes—
159C22×C4×C47C2×D412yes—
160C22×C4×C47C2×D412yes—
161C22×C4×C47#4112yes—
162C22×C4×C47#4112yes—
163C22×C4×C47C2411yescharacteristic
164C2×C22⋊D47—24no—
165C2×C22⋊D47—28no—
166C2×C22⋊D47—42no—
167C2×C22⋊D47—42no—
168C2×C22⋊D47—82no—
169C2×C22⋊D47—82no—
170C22×Dic47—22no—
171C22×Dic47—21no—
172C22×Dic47—24no—
173C22×Dic47—81no—
174C22×Dic47—81no—
175#10625350—28no—
176#10625350—28no—
177#10625350—44no—
178#10625350—44no—
179C2×D188—21no—
180C2×D188—21no—
181C2×D188—21no—
182C2×D188—21no—
183C2×D188—21no—
184C2×D188C22×C412yes—
185C2×C4×D47—24no—
186C2×C4×D47—42no—
187C2×C4×D47—42no—
188C2×Dic94—21no—
189C2×Dic94—21no—
190C2×Dic94—21no—
191C2×Dic94—21no—
192C2×Dic94—21no—
193C2×Dic94C22×C412yes—
194C4⋊C4×C47—28no—
195C4⋊C4×C47—24no—
196C4⋊C4×C47—22no—
197C4⋊C4×C47—21no—
198C4⋊C4×C47—21no—
199C4⋊C4×C47C2×D412yes—
200C4⋊C4×C47C2×D414yes—
201C4⋊C4×C47C2×D412yes—
202C22⋊C4×C47—28no—
203C22⋊C4×C47—24no—
204C42×C47—28no—
205C42×C47—24no—
206C22⋊Dic47—28no—
207(C2×D47)⋊C4—28no—
208C4⋊Dic47—24no—
209C4⋊Dic47—22no—
210C4⋊Dic47C22×C414yes—
211Dic47⋊C4—28no—
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×C47C2×C22⋊C414yes—
234C23×C47C2×C22⋊C412yes—
235C23×C47#12012yes—
236C23×C47#12312yes—
237C23×C47C22×D411yescharacteristic
238C22×D47—22no—
239C22×D47—41no—
240C22×D47—41no—
241C22×D47—41no—
242C22×D47—41no—
243C22×D47—41no—
244C22×D47—41no—
245Q8×C47—28no—
246D4×C47—216no—
247D4×C47—28no—
248C2×C4×C47—22no—
249C2×C4×C47—22no—
250C2×C4×C47—24no—
251C2×C4×C47—24no—
252C2×C4×C47—24no—
253C2×C4×C47—24no—
254C2×C4×C47—22no—
255C2×C4×C47—24no—
256C2×C4×C47—22no—
257C2×C4×C47—42no—
258C2×C4×C47—41no—
259C2×C4×C47—41no—
260C2×C4×C47—42no—
261C2×C4×C47—41no—
262C2×C4×C47—41no—
263C2×C4×C47—84no—
264C2×C4×C47—88no—
265C2×C4×C47C2×C22⋊C414yes—
266C2×C4×C47C2×C22⋊C412yes—
267C2×C4×C47C4×D414yes—
268C2×C4×C47C4×D414yes—
269C2×C4×C47#12012yes—
270C2×C4×C47#12114yes—
271C2×C4×C47#12114yes—
272C2×C4×C47#12312yes—
273C2×C4×C47C23×C411yescharacteristic
274C2×C4×C47C22×D411yescharacteristic
275C2×C4×C47C22×D411yescharacteristic
276C2×C4×C47C22×D411yescharacteristic
277C2×C4×C47C2×#4111yescharacteristic
278C2×C4×C47C2×#4111yescharacteristic
279C22⋊D47—48no—
280C22⋊D47—88no—
281C2×Dic47—22no—
282C2×Dic47—24no—
283C2×Dic47—41no—
284C2×Dic47—41no—
285C2×Dic47—42no—
286C2×Dic47—42no—
287C2×Dic47—84no—
288D188—22no—
289D188—22no—
290D188—41no—
291D188—41no—
292C4×D47—48no—
293Dic94—22no—
294Dic94—22no—
295Dic94—41no—
296Dic94—41no—
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#38614yes—
315C22×C47C22×C22⋊C411yescharacteristic
316C22×C47C2×#12011yescharacteristic
317C22×C47C2×#12311yescharacteristic
318C22×C47#57611yescharacteristic
319C22×C47#57711yescharacteristic
320C22×C47#57711yescharacteristic
321C22×C47#57811yescharacteristic
322C2×D47—42no—
323C2×D47—42no—
324C2×D47—42no—
325C2×D47—81no—
326C2×D47—81no—
327C2×D47—81no—
328C2×D47—81no—
329C4×C47—24no—
330C4×C47—44no—
331C4×C47—42no—
332C4×C47—42no—
333C4×C47#38614yes—
334C4×C47C2×C4×D411yescharacteristic
335C4×C47C2×C4×D411yescharacteristic
336C4×C47C2×#12111yescharacteristic
337C4×C47C2×#12111yescharacteristic
338Dic47—44no—
339Dic47—42no—
340C2×#537—471no—
341C2×#520D4711yescharacteristic, complemented
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×C47C2×#38611yescharacteristic
354C2×C47#289711yescharacteristic
355C2×C47#289811yescharacteristic
356C2×C47#301211yescharacteristic
357C2×C47#301311yescharacteristic
358C2×C47#309811yescharacteristic
359C2×C47#309911yescharacteristic
360D47—82no—
361C22×#41—471no—
362C22×#41C2×D4711yescharacteristic
363C22×M16—471no—
364C23×C8—471no—
365#537—478no—
366#537—944no—
367C2×C22⋊Q8—472no—
368C2×C22⋊Q8—941no—
369C2×#121—472no—
370C2×#121—941no—
371C2×#121—942no—
372#520—24no—
373#520—24no—
374C2×C4×Q8—21no—
375C2×C4×D4—22no—
376C2×C4×D4—21no—
377C2×#117C2×D4712yes—
378C2×#117C2×D4711yescharacteristic
379C22×C4⋊C4—471no—
380C22×C4⋊C4C2×D4712yes—
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—474no—
403C2×#41—942no—
404C2×#41—942no—
405C2×#41—942no—
406C2×#41—942no—
407C2×#41—942no—
408C2×#41C4×D4714yes—
409C2×#41D18814yes—
410C22×Q8—471no—
411C22×Q8C22⋊D4711yescharacteristic
412C22×D4—471no—
413C22×D4—942no—
414C22×D4—941no—
415C22×D4C22⋊D4712yes—
416C22×D4C22⋊D4711yescharacteristic
417C23×C4—22no—
418C23×C4—21no—
419C23×C4—941no—
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—478no—
433C22⋊Q8—948no—
434C22⋊Q8—944no—
435#121—478no—
436#121—948no—
437#121—9416no—
438#121—944no—
439C4×Q8—28no—
440C4×D4—216no—
441C4×D4—28no—
442#117—22no—
443#117—24no—
444#117—24no—
445#117C22⋊D4714yescomplemented
446C2×C4⋊C4—22no—
447C2×C4⋊C4—21no—
448C2×C4⋊C4—22no—
449C2×C4⋊C4—24no—
450C2×C4⋊C4—24no—
451C2×C4⋊C4—474no—
452C2×C4⋊C4—472no—
453C2×C4⋊C4—942no—
454C2×C4⋊C4—941no—
455C2×C4⋊C4—942no—
456C2×C4⋊C4C22⋊D4714yescomplemented
457C2×C4⋊C4C22×D4711yescharacteristic
458C2×C4⋊C4C22×D4712yes—
459C2×C4⋊C4C22×D4711yescharacteristic
460C2×C22⋊C4—22no—
461C2×C22⋊C4—21no—
462C2×C22⋊C4—942no—
463C2×C22⋊C4—942no—
464C2×C42—22no—
465C2×C42—21no—
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—941no—
475C24C2×C22⋊D4712yes—
476C24C2×C22⋊D4711yescharacteristic
477#41—28no—
478#41—28no—
479#41—28no—
480#41—28no—
481#41—948no—
482#41—948no—
483#41—1884no—
484#41—1884no—
485C2×Q8—22no—
486C2×Q8—22no—
487C2×Q8—472no—
488C2×Q8—941no—
489C2×Q8—941no—
490C2×Q8—941no—
491C2×Q8—941no—
492C2×Q8—941no—
493C2×Q8(C2×D47)⋊C414yes—
494C2×D4—24no—
495C2×D4—24no—
496C2×D4—22no—
497C2×D4—22no—
498C2×D4—472no—
499C2×D4—948no—
500C2×D4—944no—
501C2×D4—941no—
502C2×D4—941no—
503C2×D4—941no—
504C2×D4—941no—
505C2×D4—941no—
506C2×D4—3762no—
507C2×D4—3762no—
508C2×D4—1882no—
509C2×D4—1882no—
510C2×D4(C2×D47)⋊C418yes—
511C2×D4(C2×D47)⋊C414yes—
512C22×C4—22no—
513C22×C4—22no—
514C22×C4—22no—
515C22×C4—22no—
516C22×C4—21no—
517C22×C4—22no—
518C22×C4—21no—
519C22×C4—28no—
520C22×C4—24no—
521C22×C4—81no—
522C22×C4—82no—
523C22×C4—81no—
524C22×C4—82no—
525C22×C4—944no—
526C22×C4—942no—
527C22×C4—941no—
528C22×C4—944no—
529C22×C4—3761no—
530C22×C4—3761no—
531C22×C4—1882no—
532C22×C4—1882no—
533C22×C4C2×C4×D4714yes—
534C22×C4C2×C4×D4712yes—
535C22×C4C2×D18814yes—
536C22×C4C2×D18812yes—
537C22×C4#1062535012yes—
538C22×C4#1062535012yes—
539C22×C4C2×C22⋊D4712yes—
540C22×C4C2×C22⋊D4711yescharacteristic
541C22×C4C2×C22⋊D4712yes—
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—28no—
556C4⋊C4—24no—
557C4⋊C4—22no—
558C4⋊C4—21no—
559C4⋊C4—21no—
560C4⋊C4—474no—
561C4⋊C4—948no—
562C4⋊C4—944no—
563C4⋊C4—942no—
564C4⋊C4C2×C22⋊D4712yes—
565C4⋊C4C2×C22⋊D4714yes—
566C4⋊C4C2×C22⋊D4712yes—
567C22⋊C4—28no—
568C22⋊C4—24no—
569C22⋊C4—948no—
570C22⋊C4—948no—
571C42—28no—
572C42—24no—
573C23—21no—
574C23—21no—
575C23—21no—
576C23—21no—
577C23—22no—
578C23—22no—
579C23—22no—
580C23—22no—
581C23—22no—
582C23—22no—
583C23—942no—
584C23—1881no—
585C23—1881no—
586C23—1881no—
587C23—1881no—
588C23—1881no—
589C23—1881no—
590C23C2×(C2×D47)⋊C414yes—
591C23C2×(C2×D47)⋊C412yes—
592C23#1309399312yes—
593C23#1309400712yes—
594C23C22×C22⋊D4711yescharacteristic
595Q8—28no—
596Q8—942no—
597Q8—942no—
598Q8—1881no—
599Q8—1881no—
600D4—216no—
601D4—28no—
602D4—942no—
603D4—942no—
604D4—3768no—
605D4—1888no—
606D4—1881no—
607D4—1881no—
608C2×C4—22no—
609C2×C4—22no—
610C2×C4—24no—
611C2×C4—24no—
612C2×C4—24no—
613C2×C4—24no—
614C2×C4—22no—
615C2×C4—24no—
616C2×C4—22no—
617C2×C4—42no—
618C2×C4—41no—
619C2×C4—41no—
620C2×C4—42no—
621C2×C4—41no—
622C2×C4—41no—
623C2×C4—84no—
624C2×C4—88no—
625C2×C4—944no—
626C2×C4—942no—
627C2×C4—3764no—
628C2×C4—1881no—
629C2×C4—1881no—
630C2×C4—1882no—
631C2×C4—1882no—
632C2×C4—1888no—
633C2×C4C2×(C2×D47)⋊C414yes—
634C2×C4C2×(C2×D47)⋊C412yes—
635C2×C4C4×C22⋊D4714yes—
636C2×C4C4×C22⋊D4714yes—
637C2×C4#1309399312yes—
638C2×C4#1309399814yes—
639C2×C4#1309399814yes—
640C2×C4#1309400712yes—
641C2×C4C22×C4×D4711yescharacteristic
642C2×C4C22×C22⋊D4711yescharacteristic
643C2×C4C22×C22⋊D4711yescharacteristic
644C2×C4C22×D18811yescharacteristic
645C2×C4C2×#1062535011yescharacteristic
646C2×C4C2×#1062535011yescharacteristic
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—3761no—
664C22—3761no—
665C22—3761no—
666C22—3761no—
667C22—1882no—
668C22—1882no—
669C22—1882no—
670C22#1568900214yes—
671C22C22×(C2×D47)⋊C411yescharacteristic
672C22C2×#1309399311yescharacteristic
673C22C2×#1309400711yescharacteristic
674C22#1568992611yescharacteristic
675C22#1568993111yescharacteristic
676C22#1568993411yescharacteristic
677C22#1568993811yescharacteristic
678C4—24no—
679C4—44no—
680C4—42no—
681C4—42no—
682C4—1884no—
683C4—1882no—
684C4#1568900214yes—
685C4C2×C4×C22⋊D4711yescharacteristic
686C4C2×C4×C22⋊D4711yescharacteristic
687C4C2×#1309399811yescharacteristic
688C4C2×#1309399811yescharacteristic
689C2—24no—
690C2—44no—
691C2—3762no—
692C2C2×#1568900211yescharacteristic
693C2#2025191111yescharacteristic
694C2#2025191811yescharacteristic
695C2#2025269211yescharacteristic
696C2#2025270311yescharacteristic
697C2#2025336611yescharacteristic
698C2#2025337711yescharacteristic
subgroupG/H
centerC23C22×C22⋊D47
commutatorC2×C4×C47C23×C4
FrattiniC22×C4C23×D47
FittingC2×C47×#520C2
socleC23×C47C22×D4
prime radicalC2×#15689701C2
cosocleC22×C4×C47C24
hypercenterC2×#520D47
hypocenterC47#20915
LCSG ▷ C2×C4×C47 ▷ C2×C47 ▷ C47
UCSC1 ◁ C23 ◁ C22×#41 ◁ C2×#520

Complements

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

NH ≅ G/Ntype
2. C2×#15689122C2semidirect
3. C2×#15689117C2semidirect
4. C2×#15689090C2semidirect
5. #20243710C2semidirect
6. #20243705C2semidirect
7. #20243700C2semidirect
8. #20243695C2semidirect
9. #20243109C2semidirect
10. C2×#15688885C2semidirect
11. C2×C47×#520C2semidirect
16. #15689701C4semidirect
53. C2×#10625350C2×C4semidirect
70. #13094003C2×C4semidirect
73. #13093998C2×C4semidirect
78. C2×C4⋊Dic47C2×C4semidirect
110. #117×C47D4semidirect
116. C2×C4⋊C4×C47D4semidirect
341. C2×#520D47semidirect
397. C47#20915semidirect
445. #117C22⋊D47semidirect
456. C2×C4⋊C4C22⋊D47semidirect

Maximal subgroups

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

subgroupindex
C2×#156897012
C2×#156891222
C2×#156891172
C2×#156890902
#202437102
#202437052
#202437002
#202436952
#202431092
C2×#156888852
C2×C47×#5202
#2091547