Finite Group Databasebeta

← #26243116

Subgroups — #26243116

Order 12032.

2514 conjugacy classes of subgroups.

The subgroup lattice has 718 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×#13094049C211yesmaximal, characteristic, complemented
2C22×#13093998C211yesmaximal, characteristic, complemented
3C2×#15689124C211yesmaximal, characteristic, complemented
4C2×#15689127C211yesmaximal, characteristic, complemented
5C2×#15689087C211yesmaximal, characteristic, complemented
6#20244389C214yesmaximal, complemented
7#20244384C214yesmaximal, complemented
8#20243109C211yesmaximal, characteristic, complemented
9C2×C47×#525C211yesmaximal, characteristic, complemented
10C23×D188C2211yescharacteristic
11C23×C22⋊D47—21no—
12C2×#13094049—24no—
13C2×#13094049—24no—
14C2×#13094049—24no—
15C22×#10625336C2212yescomplemented
16C22×#10625334C2212yescomplemented
17C22×#10625329C2211yescharacteristic
18C22×#10625329C2211yescharacteristic
19C2×#13093998—24no—
20C2×#13093998—24no—
21C2×#13093998—22no—
22C2×#13093998C2214yes—
23C22×C4⋊Dic47C2211yescharacteristic
24C22×(C2×D47)⋊C4—21no—
25#15689127—24no—
26#15689124—24no—
27C2×#13093948C2212yescomplemented
28C2×#13093945C2212yescomplemented
29C2×#13093944C2214yescomplemented
30#15689087—24no—
31C2×C22⋊(C47⋊C8)C2214yescomplemented
32#15688885C2214yescomplemented
33C22×#41×C47C2211yescharacteristic
34C24×C4×C47C2211yescharacteristic
35C47×#525—24no—
36C47×#525—24no—
37C2×#123×C47—21no—
38C2×C22⋊Q8×C47C2212yescomplemented
39C2×#121×C47C2212yescomplemented
40C2×#120×C47—21no—
41C2×C4×D4×C47—22no—
42C2×#117×C47C2211yescharacteristic
43C24×D47—21no—
44C22×D188—22no—
45C22×D188—22no—
46C22×D188—22no—
47C22×D188—22no—
48C22×D188—21no—
49C22×D188—22no—
50C22×D188D414yescomplemented
51C22×D188C2312yes—
52C22×C22⋊D47—28no—
53C22×C22⋊D47—24no—
54C22×C22⋊D47—48no—
55C23×Dic47—21no—
56#13094049—232no—
57C2×#10625336—24no—
58C2×#10625336—24no—
59C2×#10625336—24no—
60C2×#10625334—24no—
61C2×#10625334—24no—
62C2×#10625334—24no—
63C2×#10625329—22no—
64C2×#10625329—22no—
65C2×#10625329—22no—
66C2×#10625329—22no—
67C2×#10625329—22no—
68C2×#10625329D414yescomplemented
69C22×C47⋊C8C2312yes—
70C22×C47⋊C8C2312yes—
71#13093998—216no—
72#13093998—28no—
73#13093998—28no—
74C2×C4⋊Dic47—21no—
75C2×C4⋊Dic47—22no—
76C2×C4⋊Dic47D414yescomplemented
77C2×C4⋊Dic47C2312yes—
78C2×(C2×D47)⋊C4—28no—
79C2×(C2×D47)⋊C4—24no—
80#13093948—24no—
81#13093945—24no—
82#13093944—28no—
83C22⋊(C47⋊C8)—28no—
84C25×C47D411yescharacteristic
85C2×#41×C47—22no—
86C2×#41×C47—22no—
87C2×#41×C47—22no—
88C2×#41×C47—22no—
89C2×#41×C47—22no—
90C2×#41×C47D414yescomplemented
91C22×Q8×C47C2311yescharacteristic
92C22×D4×C47—22no—
93C22×D4×C47—21no—
94C22×D4×C47C2311yescharacteristic
95C23×C4×C47—21no—
96C23×C4×C47—22no—
97C23×C4×C47—22no—
98C23×C4×C47—22no—
99C23×C4×C47—22no—
100C23×C4×C47—22no—
101C23×C4×C47—22no—
102C23×C4×C47D412yes—
103C23×C4×C47D411yescharacteristic
104C23×C4×C47C2312yes—
105C23×C4×C47C2311yescharacteristic
106#123×C47—28no—
107C22⋊Q8×C47—24no—
108C22⋊Q8×C47—24no—
109#121×C47—24no—
110#121×C47—24no—
111#120×C47—28no—
112C4×D4×C47—216no—
113#117×C47—22no—
114#117×C47D414yescomplemented
115C2×C4⋊C4×C47—22no—
116C2×C4⋊C4×C47C2312yes—
117C2×C22⋊C4×C47—21no—
118C2×C22⋊C4×C47—22no—
119C2×C22⋊C4×C47—22no—
120C2×C42×C47—21no—
121C24×C47—22no—
122C24×C47—24no—
123C24×C47—22no—
124C24×C47—22no—
125C24×C47—21no—
126C24×C47—42no—
127C24×C47C2×D412yes—
128C24×C47C2×D411yescharacteristic
129C23×D47—24no—
130C23×D47—22no—
131C23×D47—44no—
132C23×D47—44no—
133C23×D47—42no—
134C23×D47—42no—
135#41×C47—28no—
136#41×C47—28no—
137#41×C47—44no—
138#41×C47—44no—
139C2×Q8×C47—21no—
140C2×Q8×C47—21no—
141C2×Q8×C47—21no—
142C2×Q8×C47—21no—
143C2×Q8×C47—21no—
144C2×Q8×C47C2×D412yescomplemented
145C2×D4×C47—28no—
146C2×D4×C47—24no—
147C2×D4×C47—21no—
148C2×D4×C47—21no—
149C2×D4×C47—21no—
150C2×D4×C47—21no—
151C2×D4×C47—21no—
152C2×D4×C47—44no—
153C2×D4×C47—42no—
154C2×D4×C47—42no—
155C2×D4×C47—44no—
156C2×D4×C47C2×D412yescomplemented
157C22×C4×C47—22no—
158C22×C4×C47—22no—
159C22×C4×C47—22no—
160C22×C4×C47—22no—
161C22×C4×C47—21no—
162C22×C4×C47—24no—
163C22×C4×C47—24no—
164C22×C4×C47—24no—
165C22×C4×C47—24no—
166C22×C4×C47—22no—
167C22×C4×C47—22no—
168C22×C4×C47—22no—
169C22×C4×C47—22no—
170C22×C4×C47—22no—
171C22×C4×C47—22no—
172C22×C4×C47—44no—
173C22×C4×C47—42no—
174C22×C4×C47—44no—
175C22×C4×C47—44no—
176C22×C4×C47—42no—
177C22×C4×C47—44no—
178C22×C4×C47C2×D412yes—
179C22×C4×C47C2×D411yescharacteristic
180C22×C4×C47C2×D412yes—
181C22×C4×C47C2×D412yes—
182C22×C4×C47C2×D412yes—
183C22×C4×C47C2×D412yes—
184C22×C4×C47C2×D412yes—
185C22×C4×C47#4112yes—
186C22×C4×C47C2411yescharacteristic
187C2×C22⋊D47—216no—
188C2×C22⋊D47—432no—
189C2×C22⋊D47—48no—
190C2×C22⋊D47—48no—
191C22×Dic47—24no—
192C22×Dic47—22no—
193C22×Dic47—44no—
194C2×D188—28no—
195C2×D188—28no—
196C2×D188—22no—
197C2×D188—22no—
198C2×D188—22no—
199C2×D188—22no—
200C2×D188—24no—
201C2×D188—22no—
202C2×D188—42no—
203C2×D188—44no—
204C2×D188—42no—
205C2×D188—44no—
206C2×D188C2×D414yes—
207C4⋊C4×C47—28no—
208C4⋊C4×C47—22no—
209C4⋊C4×C47C2×D414yescomplemented
210C22⋊C4×C47—28no—
211C22⋊C4×C47—28no—
212C22⋊C4×C47—24no—
213C42×C47—24no—
214#10625336—216no—
215#10625334—216no—
216(C2×D47)⋊C4—216no—
217C4⋊Dic47—24no—
218C4⋊Dic47—22no—
219C4⋊Dic47C2×D414yes—
220#10625329—28no—
221#10625329—44no—
222C2×C47⋊C8—22no—
223C2×C47⋊C8—22no—
224C2×C47⋊C8—22no—
225C2×C47⋊C8—22no—
226C2×C47⋊C8—22no—
227C2×C47⋊C8C2×D414yescomplemented
228C23×C47—22no—
229C23×C47—22no—
230C23×C47—28no—
231C23×C47—22no—
232C23×C47—22no—
233C23×C47—22no—
234C23×C47—22no—
235C23×C47—22no—
236C23×C47—22no—
237C23×C47—22no—
238C23×C47—48no—
239C23×C47—48no—
240C23×C47—44no—
241C23×C47—44no—
242C23×C47—41no—
243C23×C47—41no—
244C23×C47—42no—
245C23×C47—42no—
246C23×C47#12012yes—
247C23×C47#12012yes—
248C23×C47#12112yes—
249C23×C47AGL(1,ℤ/8)14yescomplemented
250C23×C47C22×D411yescharacteristic
251C22×D47—24no—
252C22×D47—48no—
253C22×D47—48no—
254C22×D47—42no—
255C22×D47—42no—
256C22×D47—44no—
257C22×D47—44no—
258C22×D47—48no—
259C22×D47—88no—
260C22×D47—88no—
261Q8×C47—22no—
262Q8×C47—22no—
263Q8×C47—41no—
264Q8×C47—41no—
265D4×C47—22no—
266D4×C47—22no—
267D4×C47—416no—
268D4×C47—48no—
269D4×C47—41no—
270D4×C47—41no—
271C2×C4×C47—22no—
272C2×C4×C47—24no—
273C2×C4×C47—22no—
274C2×C4×C47—22no—
275C2×C4×C47—22no—
276C2×C4×C47—41no—
277C2×C4×C47—41no—
278C2×C4×C47—42no—
279C2×C4×C47—42no—
280C2×C4×C47—44no—
281C2×C4×C47—42no—
282C2×C4×C47—42no—
283C2×C4×C47—42no—
284C2×C4×C47—42no—
285C2×C4×C47—48no—
286C2×C4×C47—48no—
287C2×C4×C47#12014yes—
288C2×C4×C47#12012yes—
289C2×C4×C47#12012yes—
290C2×C4×C47#12114yes—
291C2×C4×C47#12114yes—
292C2×C4×C47#12112yes—
293C2×C4×C47#12714yes—
294C2×C4×C47C22×D411yescharacteristic
295C2×C4×C47C22×D411yescharacteristic
296C2×C4×C47C22×D411yescharacteristic
297C2×C4×C47C22×D411yescharacteristic
298C2×C4×C47C22×D411yescharacteristic
299C2×C4×C47C2×#4111yescharacteristic
300C22⋊D47—432no—
301C2×Dic47—24no—
302C2×Dic47—48no—
303C2×Dic47—44no—
304D188—24no—
305D188—24no—
306D188—42no—
307D188—42no—
308D188—48no—
309C47⋊C8—24no—
310C47⋊C8—42no—
311#23391—471nomaximal, Sylow
312C22×C47—22no—
313C22×C47—22no—
314C22×C47—24no—
315C22×C47—24no—
316C22×C47—24no—
317C22×C47—24no—
318C22×C47—24no—
319C22×C47—416no—
320C22×C47—42no—
321C22×C47—42no—
322C22×C47—42no—
323C22×C47—42no—
324C22×C47—42no—
325C22×C47—44no—
326C22×C47—81no—
327C22×C47—81no—
328C22×C47—82no—
329C22×C47#39214yes—
330C22×C47C2×#12011yescharacteristic
331C22×C47C2×#12011yescharacteristic
332C22×C47C2×#12111yescharacteristic
333C22×C47C2×AGL(1,ℤ/8)12yes—
334C22×C47#57512yes—
335C2×D47—44no—
336C2×D47—44no—
337C2×D47—44no—
338C2×D47—816no—
339C2×D47—84no—
340C2×D47—84no—
341C4×C47—42no—
342C4×C47—42no—
343C4×C47—44no—
344C4×C47#39214yes—
345C4×C47C2×#12011yescharacteristic
346C4×C47C2×#12111yescharacteristic
347C4×C47C2×#12111yescharacteristic
348C4×C47C2×#12711yescharacteristic
349Dic47—44no—
350C22×AGL(1,ℤ/8)—471no—
351C2×#525D4711yescharacteristic, complemented
352C22×#121—471no—
353C2×#417—471no—
354C2×#418—471no—
355C2×#407—471no—
356#2000—474no—
357#1999—474no—
358#1736—471no—
359C2×C47—24no—
360C2×C47—44no—
361C2×C47—82no—
362C2×C47C2×#39211yescharacteristic
363C2×C47#300311yescharacteristic
364C2×C47#300511yescharacteristic
365C2×C47#300612yes—
366C2×C47#305512yes—
367D47—84no—
368C22×#41C2×D4711yescharacteristic
369C23×D4—471no—
370C23×D4—941no—
371C24×C4C2×D4711yescharacteristic
372C2×AGL(1,ℤ/8)—944no—
373C2×AGL(1,ℤ/8)—944no—
374C2×AGL(1,ℤ/8)—944no—
375C22×SD16—472no—
376C22×D8—472no—
377C22×M16—471no—
378C22×M16—471no—
379#525—24no—
380#525—24no—
381C2×#123—21no—
382C2×C22⋊Q8C2×D4712yescomplemented
383C2×#121—474no—
384C2×#121—944no—
385C2×#121—944no—
386C2×#121—942no—
387C2×#121C2×D4712yescomplemented
388C2×#120—21no—
389C2×C4×D4—22no—
390C2×#117C2×D4711yescharacteristic
391C22×C4⋊C4—471no—
392C22×C22⋊C4—941no—
393#418—944no—
394#417—944no—
395C2×#103—472no—
396C2×#102—472no—
397C2×#102—474no—
398#407—944no—
399C2×C22⋊C8—474no—
400#340—474no—
401C47#2339111yescharacteristic, complemented, Sylow
402C25—941no—
403C25C22⋊D4711yescharacteristic
404C2×#41—22no—
405C2×#41—22no—
406C2×#41—22no—
407C2×#41—22no—
408C2×#41—22no—
409C2×#41C22⋊D4714yescomplemented
410C22×Q8C22×D4711yescharacteristic
411C22×D4—22no—
412C22×D4—21no—
413C22×D4—474no—
414C22×D4—472no—
415C22×D4—948no—
416C22×D4—944no—
417C22×D4—942no—
418C22×D4—942no—
419C22×D4—942no—
420C22×D4—942no—
421C22×D4—942no—
422C22×D4—941no—
423C22×D4—1888no—
424C22×D4C22×D4711yescharacteristic
425C23×C4—22no—
426C23×C4—22no—
427C23×C4—22no—
428C23×C4—22no—
429C23×C4—21no—
430C23×C4—22no—
431C23×C4—22no—
432C23×C4—941no—
433C23×C4C22⋊D4711yescharacteristic
434C23×C4C22⋊D4712yes—
435C23×C4C22×D4712yes—
436C23×C4C22×D4711yescharacteristic
437AGL(1,ℤ/8)—9432no—
438C2×SD16—944no—
439C2×SD16—944no—
440C2×SD16—944no—
441C2×D8—944no—
442C2×D8—944no—
443C2×D8—944no—
444C2×M16—474no—
445C2×M16—942no—
446C2×M16—942no—
447C2×M16—942no—
448C2×M16—942no—
449C2×M16—942no—
450C22×C8—472no—
451C22×C8—472no—
452#123—28no—
453C22⋊Q8—24no—
454C22⋊Q8—24no—
455#121—24no—
456#121—24no—
457#121—948no—
458#121—948no—
459#121—9416no—
460#120—28no—
461C4×D4—216no—
462#117—22no—
463#117C22⋊D4714yescomplemented
464C2×C4⋊C4—22no—
465C2×C4⋊C4—474no—
466C2×C4⋊C4—472no—
467C2×C4⋊C4—942no—
468C2×C4⋊C4—941no—
469C2×C4⋊C4C22×D4712yes—
470C2×C22⋊C4—21no—
471C2×C22⋊C4—22no—
472C2×C22⋊C4—22no—
473C2×C22⋊C4—948no—
474C2×C22⋊C4—944no—
475C2×C42—21no—
476#103—944no—
477#102—944no—
478#102—948no—
479C22⋊C8—948no—
480C24—22no—
481C24—24no—
482C24—22no—
483C24—22no—
484C24—21no—
485C24—42no—
486C24—944no—
487C24—942no—
488C24—1884no—
489C24—1884no—
490C24—1882no—
491C24—1882no—
492C24C2×C22⋊D4712yes—
493C24C2×C22⋊D4711yescharacteristic
494#41—28no—
495#41—28no—
496#41—44no—
497#41—44no—
498C2×Q8—21no—
499C2×Q8—21no—
500C2×Q8—21no—
501C2×Q8—21no—
502C2×Q8—21no—
503C2×Q8C2×C22⋊D4712yescomplemented
504C2×D4—28no—
505C2×D4—24no—
506C2×D4—21no—
507C2×D4—21no—
508C2×D4—21no—
509C2×D4—21no—
510C2×D4—21no—
511C2×D4—44no—
512C2×D4—42no—
513C2×D4—42no—
514C2×D4—44no—
515C2×D4—474no—
516C2×D4—9416no—
517C2×D4—948no—
518C2×D4—944no—
519C2×D4—948no—
520C2×D4—942no—
521C2×D4—942no—
522C2×D4—942no—
523C2×D4—942no—
524C2×D4—942no—
525C2×D4—18832no—
526C2×D4—1888no—
527C2×D4—1888no—
528C2×D4—1882no—
529C2×D4—1882no—
530C2×D4—1884no—
531C2×D4—1884no—
532C2×D4C2×C22⋊D4712yescomplemented
533C22×C4—22no—
534C22×C4—22no—
535C22×C4—22no—
536C22×C4—22no—
537C22×C4—21no—
538C22×C4—24no—
539C22×C4—24no—
540C22×C4—24no—
541C22×C4—24no—
542C22×C4—22no—
543C22×C4—22no—
544C22×C4—22no—
545C22×C4—22no—
546C22×C4—22no—
547C22×C4—22no—
548C22×C4—44no—
549C22×C4—42no—
550C22×C4—44no—
551C22×C4—44no—
552C22×C4—42no—
553C22×C4—44no—
554C22×C4—944no—
555C22×C4—942no—
556C22×C4—1884no—
557C22×C4D4×D4712yes—
558C22×C4D4×D4712yes—
559C22×C4D4×D4712yes—
560C22×C4#1062535212yes—
561C22×C4C2×C22⋊D4712yes—
562C22×C4C2×C22⋊D4711yescharacteristic
563C22×C4C2×C22⋊D4712yes—
564C22×C4C2×C22⋊D4712yes—
565C22×C4C23×D4711yescharacteristic
566SD16—9416no—
567D8—9416no—
568M16—948no—
569M16—1884no—
570C2×C8—474no—
571C2×C8—942no—
572C2×C8—942no—
573C2×C8—942no—
574C2×C8—942no—
575C2×C8—942no—
576C4⋊C4—28no—
577C4⋊C4—22no—
578C4⋊C4—474no—
579C4⋊C4—944no—
580C4⋊C4—942no—
581C4⋊C4C2×C22⋊D4714yescomplemented
582C22⋊C4—28no—
583C22⋊C4—28no—
584C22⋊C4—24no—
585C22⋊C4—9416no—
586C42—24no—
587C23—22no—
588C23—22no—
589C23—28no—
590C23—22no—
591C23—22no—
592C23—22no—
593C23—22no—
594C23—22no—
595C23—22no—
596C23—22no—
597C23—48no—
598C23—48no—
599C23—44no—
600C23—44no—
601C23—41no—
602C23—41no—
603C23—42no—
604C23—42no—
605C23—944no—
606C23—3768no—
607C23—3768no—
608C23—1888no—
609C23—1888no—
610C23—1888no—
611C23—1882no—
612C23—1882no—
613C23—1884no—
614C23—1884no—
615C23#1309399212yes—
616C23#1309399312yes—
617C23#1309399612yes—
618C23#1309404914yescomplemented
619C23C22×C22⋊D4711yescharacteristic
620Q8—22no—
621Q8—22no—
622Q8—41no—
623Q8—41no—
624D4—22no—
625D4—22no—
626D4—416no—
627D4—48no—
628D4—41no—
629D4—41no—
630D4—944no—
631D4—944no—
632D4—18832no—
633D4—1888no—
634D4—1882no—
635D4—1882no—
636C2×C4—22no—
637C2×C4—24no—
638C2×C4—22no—
639C2×C4—22no—
640C2×C4—22no—
641C2×C4—44no—
642C2×C4—41no—
643C2×C4—41no—
644C2×C4—42no—
645C2×C4—42no—
646C2×C4—48no—
647C2×C4—48no—
648C2×C4—42no—
649C2×C4—42no—
650C2×C4—42no—
651C2×C4—42no—
652C2×C4—944no—
653C2×C4—1888no—
654C2×C4—1884no—
655C2×C4#1309399212yes—
656C2×C4#1309399214yes—
657C2×C4#1309399312yes—
658C2×C4#1309399514yes—
659C2×C4#1309399612yes—
660C2×C4#1309399614yes—
661C2×C4#1309402014yes—
662C2×C4C2×D4×D4711yescharacteristic
663C2×C4C2×D4×D4711yescharacteristic
664C2×C4C2×D4×D4711yescharacteristic
665C2×C4C22×C22⋊D4711yescharacteristic
666C2×C4C22×C22⋊D4711yescharacteristic
667C2×C4C2×#1062535211yescharacteristic
668C8—944no—
669C8—1882no—
670C22—24no—
671C22—22no—
672C22—22no—
673C22—24no—
674C22—24no—
675C22—24no—
676C22—24no—
677C22—416no—
678C22—42no—
679C22—42no—
680C22—42no—
681C22—42no—
682C22—42no—
683C22—44no—
684C22—82no—
685C22—81no—
686C22—81no—
687C22—37616no—
688C22—3764no—
689C22—3764no—
690C22—1884no—
691C22—1884no—
692C22—1884no—
693C22#1568903114yes—
694C22C2×#1309399211yescharacteristic
695C22C2×#1309399311yescharacteristic
696C22C2×#1309399611yescharacteristic
697C22C2×#1309404912yes—
698C22#1568992112yes—
699C4—42no—
700C4—42no—
701C4—44no—
702C4—1884no—
703C4#1568903114yes—
704C4C2×#1309399211yescharacteristic
705C4C2×#1309399511yescharacteristic
706C4C2×#1309399611yescharacteristic
707C4C2×#1309402011yescharacteristic
708C2—24no—
709C2—44no—
710C2—82no—
711C2—3764no—
712C2C2×#1568903111yescharacteristic
713C2#2025261411yescharacteristic
714C2#2025262811yescharacteristic
715C2#2025264012yes—
716C2#2025300912yes—
subgroupG/H
centerC23C22×C22⋊D47
commutator, cosocleC22×C4×C47C24
FrattiniC22×C4C23×D47
FittingC2×C47×#525C2
socleC23×C47C22×D4
hypercenterC2×#525D47
hypocenterC47#23391
LCSG ▷ C22×C4×C47 ▷ C2×C47 ▷ C47
UCSC1 ◁ C23 ◁ C24×C4 ◁ C2×#525

Complements

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

NH ≅ G/Ntype
1. C22×#13094049C2semidirect
2. C22×#13093998C2semidirect
3. C2×#15689124C2semidirect
4. C2×#15689127C2semidirect
5. C2×#15689087C2semidirect
6. #20244389C2semidirect
7. #20244384C2semidirect
8. #20243109C2semidirect
9. C2×C47×#525C2semidirect
15. C22×#10625336C22semidirect
16. C22×#10625334C22semidirect
27. C2×#13093948C22semidirect
28. C2×#13093945C22semidirect
29. C2×#13093944C22semidirect
31. C2×C22⋊(C47⋊C8)C22semidirect
32. #15688885C22semidirect
38. C2×C22⋊Q8×C47C22semidirect
39. C2×#121×C47C22semidirect
50. C22×D188D4semidirect
68. C2×#10625329D4semidirect
76. C2×C4⋊Dic47D4semidirect
90. C2×#41×C47D4semidirect
114. #117×C47D4semidirect
144. C2×Q8×C47C2×D4semidirect
156. C2×D4×C47C2×D4semidirect
209. C4⋊C4×C47C2×D4semidirect
227. C2×C47⋊C8C2×D4semidirect
249. C23×C47AGL(1,ℤ/8)semidirect
351. C2×#525D47semidirect
382. C2×C22⋊Q8C2×D47semidirect
387. C2×#121C2×D47semidirect
401. C47#23391semidirect
409. C2×#41C22⋊D47semidirect
463. #117C22⋊D47semidirect
503. C2×Q8C2×C22⋊D47semidirect
532. C2×D4C2×C22⋊D47semidirect
581. C4⋊C4C2×C22⋊D47semidirect
618. C23#13094049semidirect

Maximal subgroups

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

subgroupindex
C22×#130940492
C22×#130939982
C2×#156891242
C2×#156891272
C2×#156890872
#202443892
#202443842
#202431092
C2×C47×#5252
#2339147