Finite Group Databasebeta

← #26217790

Subgroups — #26217790

Order 12032.

1778 conjugacy classes of subgroups.

The subgroup lattice has 732 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#15689921C211yesmaximal, characteristic
2C2×#15689603C211yesmaximal, characteristic, complemented
3C2×#15689139C211yesmaximal, characteristic, complemented
4#20245980C211yesmaximal, characteristic, complemented
5#20243761C214yesmaximal, complemented
6#20243754C214yesmaximal, complemented
7C2×#15688891C211yesmaximal, characteristic, complemented
8#20243097C211yesmaximal, characteristic, complemented
9C47×#2896C211yesmaximal, characteristic, complemented
10C22×#10625350C2211yescharacteristic
11#15689921—24no—
12#15689921C418yescomplemented
13C2×#13094055C2212yes—
14C2×#13094054—21no—
15C2×#13094050C2212yes—
16C2×#13094049—21no—
17C2×#13094044—22no—
18C22×#10625329C2211yescharacteristic
19#15689603—22no—
20#15689603—22no—
21#15689603—22no—
22#15689603C2214yes—
23C2×C4×Dic94—21no—
24C2×C4×D188—21no—
25C2×(C22⋊D47)⋊C4—22no—
26C2×#13093983C2211yescharacteristic
27C2×#13093982—21no—
28C22×C4⋊Dic47C2211yescharacteristic
29C2×C4⋊C4×D47—21no—
30#15689139—24no—
31C2×#13093950C2214yes—
32#15689030C2212yescomplemented
33#15689026C2212yescomplemented
34#15689003—22no—
35#15688983—22no—
36#15688891C2214yescomplemented
37#15688882C2214yescomplemented
38C22×#41×C47C2211yescharacteristic
39C22×M16×C47C2211yescharacteristic
40C2×#117×C47C2211yescharacteristic
41C47×#419C2212yescomplemented
42C47×#418C2212yescomplemented
43C47×#417—21no—
44C47×#417—21no—
45C47×#416—22no—
46C2×#10625350—21no—
47C2×#10625350—21no—
48C2×#10625350—22no—
49C2×#10625350—22no—
50C2×#10625350C2×C414yes—
51C2×#10625350D414yes—
52C2×#10625350D412yes—
53C2×#10625350C2312yes—
54C22×Dic94D411yescharacteristic
55C22×D188D411yescharacteristic
56C22×C22⋊D47—21no—
57C23×Dic47D412yes—
58C22×C4×D47—21no—
59C22×C4×D47—22no—
60#13094055—24no—
61#13094055C2×C418yescomplemented
62#13094054—28no—
63#13094050—24no—
64#13094050C2×C418yescomplemented
65#13094049—28no—
66#13094044—216no—
67C2×#10625337—22no—
68C2×#10625335—22no—
69C2×#10625336—22no—
70C2×#10625334—22no—
71C2×#10625329—21no—
72C2×#10625329—22no—
73C2×#10625329C2×C414yescomplemented
74C2×#10625329C2312yes—
75C22×C47⋊C8—21no—
76C4×Dic94—24no—
77C4×Dic94—24no—
78C4×D188—24no—
79C4×D188—24no—
80(C22⋊D47)⋊C4—28no—
81(C22⋊D47)⋊C4—28no—
82#13093983—22no—
83#13093983—22no—
84#13093982—24no—
85#13093982—24no—
86C2×C4⋊Dic47—21no—
87C2×C4⋊Dic47—21no—
88C2×C4⋊Dic47—21no—
89C2×C4⋊Dic47—21no—
90C2×C4⋊Dic47—21no—
91C2×C4⋊Dic47D412yes—
92C2×C4⋊Dic47C2312yes—
93C2×Dic47⋊C4—22no—
94C4⋊C4×D47—24no—
95C4⋊C4×D47—24no—
96C2×C22⋊Dic47—21no—
97C2×C22⋊Dic47—24no—
98C2×(C2×D47)⋊C4—22no—
99C2×C4×Dic47—22no—
100C2×C4×Dic47C2312yes—
101#13093950—28no—
102C47⋊#95—24no—
103C2×#41×C47—22no—
104C2×#41×C47—21no—
105C2×#41×C47—21no—
106C2×#41×C47—22no—
107C2×#41×C47—21no—
108C2×#41×C47—21no—
109C2×#41×C47—22no—
110C2×#41×C47C2×C414yescomplemented
111C22×Q8×C47C2311yescharacteristic
112C22×D4×C47—21no—
113C22×D4×C47C2311yescharacteristic
114C23×C4×C47—21no—
115C23×C4×C47C2311yescharacteristic
116C2×M16×C47—21no—
117C2×M16×C47—22no—
118C2×M16×C47—22no—
119C2×M16×C47C2312yes—
120C22×C8×C47—21no—
121#117×C47—21no—
122#117×C47—21no—
123#117×C47D412yes—
124#117×C47C2312yes—
125C2×C4⋊C4×C47D411yescharacteristic
126C2×C4⋊C4×C47D411yescharacteristic
127C2×C22⋊C4×C47—21no—
128C2×C42×C47—21no—
129#103×C47—22no—
130#103×C47—22no—
131#102×C47—22no—
132#102×C47—22no—
133C24×C47—21no—
134C24×C47C2×D411yescharacteristic
135C23×D47—21no—
136#41×C47—24no—
137#41×C47—24no—
138#41×C47—24no—
139#41×C47—24no—
140#41×C47—42no—
141#41×C47—42no—
142#41×C47—42no—
143#41×C47—42no—
144C2×Q8×C47—21no—
145C2×Q8×C47—21no—
146C2×Q8×C47—21no—
147C2×Q8×C47—21no—
148C2×Q8×C47—21no—
149C2×Q8×C47C22×C412yescomplemented
150C2×D4×C47—24no—
151C2×D4×C47—21no—
152C2×D4×C47—21no—
153C2×D4×C47—21no—
154C2×D4×C47—21no—
155C2×D4×C47—21no—
156C2×D4×C47—41no—
157C2×D4×C47—41no—
158C2×D4×C47—42no—
159C2×D4×C47C22×C412yescomplemented
160C22×C4×C47—21no—
161C22×C4×C47—21no—
162C22×C4×C47—21no—
163C22×C4×C47—24no—
164C22×C4×C47—41no—
165C22×C4×C47—41no—
166C22×C4×C47—42no—
167C22×C4×C47C22×C412yes—
168C22×C4×C47C2×D411yescharacteristic
169C22×C4×C47C2×D411yescharacteristic
170C22×C4×C47C2×D412yes—
171C22×C4×C47C2×D411yescharacteristic
172C22×C4×C47C2×D411yescharacteristic
173C22×C4×C47C2×D411yescharacteristic
174C22×C4×C47#4112yes—
175C22×C4×C47#4112yes—
176C22×C4×C47C2411yescharacteristic
177C2×C22⋊D47—24no—
178C2×C22⋊D47—22no—
179C2×C22⋊D47—24no—
180C2×C22⋊D47—22no—
181C22×Dic47—21no—
182C22×Dic47—22no—
183C22×Dic47—22no—
184C22×Dic47—22no—
185C22×Dic47—82no—
186C22×Dic47C2×D414yes—
187#10625350—24no—
188#10625350—24no—
189#10625350—24no—
190#10625350—24no—
191#10625350—24no—
192#10625350—22no—
193#10625350—22no—
194#10625350C22⋊C418yescomplemented
195#10625350C22×C414yes—
196#10625350C2×D414yes—
197C2×D188—21no—
198C2×D188—22no—
199C2×D188C22⋊C414yescomplemented
200C2×D188C2×D412yes—
201C2×C4×D47—24no—
202C2×C4×D47—22no—
203C2×C4×D47—24no—
204C2×C4×D47—22no—
205C2×C4×D47—28no—
206C2×C4×D47—84no—
207C2×Dic94—21no—
208C2×Dic94—22no—
209C2×Dic94C22⋊C414yescomplemented
210C2×Dic94C2×D412yes—
211M16×C47—22no—
212M16×C47—22no—
213M16×C47—42no—
214C2×C8×C47—22no—
215C2×C8×C47—42no—
216C4⋊C4×C47—21no—
217C4⋊C4×C47—21no—
218C4⋊C4×C47C2×D412yes—
219C4⋊C4×C47C2×D412yes—
220C22⋊C4×C47—22no—
221C22⋊C4×C47—22no—
222C42×C47—22no—
223C42×C47—22no—
224C22⋊Dic47—42no—
225C22⋊Dic47—84no—
226#10625337—28no—
227#10625336—28no—
228#10625335—28no—
229#10625334—28no—
230(C2×D47)⋊C4—28no—
231C4⋊Dic47—22no—
232C4⋊Dic47—22no—
233C4⋊Dic47—22no—
234C4⋊Dic47—22no—
235C4⋊Dic47—42no—
236Dic47⋊C4—28no—
237C4×Dic47—28no—
238C4×Dic47—22no—
239C4×Dic47—22no—
240#10625329—24no—
241#10625329—22no—
242#10625329C22×C414yescomplemented
243C2×C47⋊C8—24no—
244C2×C47⋊C8—22no—
245C23×C47—22no—
246C23×C47—41no—
247C23×C47—41no—
248C23×C47—42no—
249C23×C47—42no—
250C23×C47—41no—
251C23×C47—41no—
252C23×C47C4×D412yes—
253C23×C47#12011yescharacteristic
254C23×C47#12011yescharacteristic
255C23×C47#12112yes—
256C23×C47C22×D411yescharacteristic
257C22×D47—22no—
258C22×D47—24no—
259C22×D47—42no—
260C22×D47—42no—
261Q8×C47—22no—
262Q8×C47—22no—
263Q8×C47—41no—
264Q8×C47—41no—
265D4×C47—22no—
266D4×C47—22no—
267D4×C47—44no—
268D4×C47—44no—
269D4×C47—41no—
270D4×C47—41no—
271C2×C4×C47—22no—
272C2×C4×C47—22no—
273C2×C4×C47—22no—
274C2×C4×C47—42no—
275C2×C4×C47—42no—
276C2×C4×C47—41no—
277C2×C4×C47—41no—
278C2×C4×C47—44no—
279C2×C4×C47—44no—
280C2×C4×C47C2×C22⋊C412yes—
281C2×C4×C47C2×C22⋊C412yes—
282C2×C4×C47C4×D412yes—
283C2×C4×C47C4×D412yes—
284C2×C4×C47C4×D412yes—
285C2×C4×C47#12011yescharacteristic
286C2×C4×C47#12011yescharacteristic
287C2×C4×C47#12112yes—
288C2×C4×C47#12112yes—
289C2×C4×C47#12112yes—
290C2×C4×C47#12312yes—
291C2×C4×C47#12312yes—
292C2×C4×C47C23×C411yescharacteristic
293C2×C4×C47C22×D411yescharacteristic
294C2×C4×C47C22×D411yescharacteristic
295C2×C4×C47C22×D411yescharacteristic
296C2×C4×C47C2×#4111yescharacteristic
297C2×C4×C47C2×#4111yescharacteristic
298C22⋊D47—24no—
299C22⋊D47—24no—
300C22⋊D47—28no—
301C2×Dic47—22no—
302C2×Dic47—24no—
303C2×Dic47—24no—
304C2×Dic47—44no—
305C2×Dic47—44no—
306C2×Dic47—42no—
307C2×Dic47—42no—
308C2×Dic47—42no—
309C2×Dic47—82no—
310D188—22no—
311D188—24no—
312D188C2×C22⋊C414yes—
313C4×D47—24no—
314C4×D47—24no—
315C4×D47—28no—
316C4×D47—88no—
317Dic94—22no—
318Dic94—24no—
319Dic94C2×C22⋊C414yes—
320C8×C47—42no—
321C47⋊C8—24no—
322#20943—471nomaximal, Sylow
323C22×C47—21no—
324C22×C47—21no—
325C22×C47—21no—
326C22×C47—21no—
327C22×C47—21no—
328C22×C47—21no—
329C22×C47—42no—
330C22×C47—42no—
331C22×C47—44no—
332C22×C47—42no—
333C22×C47—82no—
334C22×C47—81no—
335C22×C47—81no—
336C22×C47#38612yes—
337C22×C47#38612yes—
338C22×C47C2×C4×D411yescharacteristic
339C22×C47C2×#12011yescharacteristic
340C22×C47C2×#12111yescharacteristic
341C2×D47—24no—
342C2×D47—48no—
343C2×D47—42no—
344C2×D47—42no—
345C4×C47—42no—
346C4×C47—42no—
347C4×C47—42no—
348C4×C47#38612yes—
349C4×C47#38612yes—
350C4×C47C22×C22⋊C411yescharacteristic
351C4×C47C2×C4×D411yescharacteristic
352C4×C47C2×#12111yescharacteristic
353C4×C47C2×#12311yescharacteristic
354Dic47—24no—
355Dic47—44no—
356Dic47—82no—
357C2×#575—471no—
358C2×#520—471no—
359C2×#421—471no—
360#2896D4711yescharacteristic, complemented
361#2311—471no—
362#1883—474no—
363#1882—474no—
364C2×#343—471no—
365#1733—471no—
366C2×C47—21no—
367C2×C47—22no—
368C2×C47—21no—
369C2×C47—22no—
370C2×C47—82no—
371C2×C47C2×#38611yescharacteristic
372C2×C47#301911yescharacteristic
373C2×C47#302011yescharacteristic
374D47—44no—
375C22×#41—471no—
376C22×#41C2×D4711yescharacteristic
377#575—478no—
378#575—944no—
379C2×#137—472no—
380C2×#137—941no—
381C2×AGL(1,ℤ/8)—472no—
382C2×AGL(1,ℤ/8)—941no—
383C2×#135—942no—
384C22×M16—471no—
385C22×M16C2×D4711yescharacteristic
386#520—474no—
387#520—942no—
388#520—942no—
389#520—942no—
390C2×C4×Q8—941no—
391C2×C4×D4—941no—
392C2×C4×D4—942no—
393C2×#117—471no—
394C2×#117—941no—
395C2×#117C2×D4711yescharacteristic
396C22×C4⋊C4—471no—
397C22×C4⋊C4—941no—
398#421—944no—
399C2×#104—474no—
400#419C2×D4712yescomplemented
401#418C2×D4712yescomplemented
402#417—21no—
403#417—21no—
404#416—22no—
405#391—472no—
406#390—472no—
407#386—942no—
408#380—942no—
409#343—474no—
410#339—474no—
411C47#2094311yescharacteristic, complemented, Sylow
412C2×#41—22no—
413C2×#41—22no—
414C2×#41—21no—
415C2×#41—21no—
416C2×#41—22no—
417C2×#41—21no—
418C2×#41—21no—
419C2×#41—474no—
420C2×#41—472no—
421C2×#41—474no—
422C2×#41—472no—
423C2×#41—942no—
424C2×#41—941no—
425C2×#41—942no—
426C2×#41—941no—
427C2×#41C4×D4714yescomplemented
428C22×Q8—471no—
429C22×Q8C22×D4711yescharacteristic
430C22×D4—21no—
431C22×D4—471no—
432C22×D4—941no—
433C22×D4C22×D4711yescharacteristic
434C23×C4—21no—
435C23×C4—472no—
436C23×C4—942no—
437C23×C4—941no—
438C23×C4C22×D4711yescharacteristic
439#137—478no—
440#137—944no—
441#137—948no—
442AGL(1,ℤ/8)—478no—
443AGL(1,ℤ/8)—944no—
444AGL(1,ℤ/8)—948no—
445#135—9416no—
446C2×Q16—942no—
447C2×SD16—942no—
448C2×SD16—942no—
449C2×D8—942no—
450C2×M16—21no—
451C2×M16—22no—
452C2×M16—22no—
453C2×M16—474no—
454C2×M16—472no—
455C2×M16—941no—
456C2×M16—942no—
457C2×M16C22×D4712yes—
458C22×C8—21no—
459C22×C8—941no—
460C4×Q8—944no—
461C4×Q8—944no—
462C4×D4—944no—
463C4×D4—944no—
464C4×D4—948no—
465C4×D4—948no—
466#117—21no—
467#117—21no—
468#117—944no—
469#117—944no—
470#117—942no—
471#117—942no—
472#117C22⋊D4712yes—
473#117C22×D4712yes—
474C2×C4⋊C4—472no—
475C2×C4⋊C4—472no—
476C2×C4⋊C4—944no—
477C2×C4⋊C4—942no—
478C2×C4⋊C4—941no—
479C2×C4⋊C4—941no—
480C2×C4⋊C4—941no—
481C2×C4⋊C4—941no—
482C2×C4⋊C4—944no—
483C2×C4⋊C4—941no—
484C2×C4⋊C4C22⋊D4711yescharacteristic
485C2×C4⋊C4C22⋊D4711yescharacteristic
486C2×C22⋊C4—21no—
487C2×C22⋊C4—942no—
488C2×C22⋊C4—944no—
489C2×C22⋊C4—941no—
490C2×C42—21no—
491C2×C42—472no—
492C2×C42—942no—
493#104—948no—
494#103—22no—
495#103—22no—
496#102—22no—
497#102—22no—
498#95—944no—
499C24—21no—
500C24—941no—
501C24D4×D4711yescharacteristic
502#41—24no—
503#41—24no—
504#41—24no—
505#41—24no—
506#41—42no—
507#41—42no—
508#41—42no—
509#41—42no—
510#41—478no—
511#41—474no—
512#41—474no—
513#41—944no—
514#41—944no—
515#41—944no—
516#41—944no—
517#41—944no—
518#41—942no—
519#41—942no—
520C2×Q8—21no—
521C2×Q8—21no—
522C2×Q8—21no—
523C2×Q8—21no—
524C2×Q8—21no—
525C2×Q8—474no—
526C2×Q8—472no—
527C2×Q8—941no—
528C2×Q8—942no—
529C2×Q8C2×C4×D4712yescomplemented
530C2×D4—24no—
531C2×D4—21no—
532C2×D4—21no—
533C2×D4—21no—
534C2×D4—21no—
535C2×D4—21no—
536C2×D4—41no—
537C2×D4—41no—
538C2×D4—42no—
539C2×D4—474no—
540C2×D4—472no—
541C2×D4—944no—
542C2×D4—942no—
543C2×D4—944no—
544C2×D4—942no—
545C2×D4—941no—
546C2×D4—942no—
547C2×D4C2×C4×D4712yescomplemented
548C22×C4—21no—
549C22×C4—21no—
550C22×C4—21no—
551C22×C4—24no—
552C22×C4—41no—
553C22×C4—41no—
554C22×C4—42no—
555C22×C4—474no—
556C22×C4—948no—
557C22×C4—941no—
558C22×C4—944no—
559C22×C4—942no—
560C22×C4—944no—
561C22×C4—942no—
562C22×C4—942no—
563C22×C4—942no—
564C22×C4—942no—
565C22×C4—3764no—
566C22×C4—3762no—
567C22×C4C2×C4×D4712yes—
568C22×C4#1062535012yes—
569C22×C4D4×D4711yescharacteristic
570C22×C4D4×D4711yescharacteristic
571C22×C4D4×D4712yes—
572C22×C4D4×D4711yescharacteristic
573C22×C4#1062535212yes—
574C22×C4C2×C22⋊D4711yescharacteristic
575C22×C4C2×C22⋊D4711yescharacteristic
576C22×C4C23×D4711yescharacteristic
577Q16—948no—
578SD16—948no—
579SD16—948no—
580D8—948no—
581M16—22no—
582M16—22no—
583M16—42no—
584M16—474no—
585M16—944no—
586M16—942no—
587C2×C8—22no—
588C2×C8—42no—
589C2×C8—944no—
590C2×C8—942no—
591C4⋊C4—21no—
592C4⋊C4—21no—
593C4⋊C4—948no—
594C4⋊C4—942no—
595C4⋊C4—942no—
596C4⋊C4—942no—
597C4⋊C4—942no—
598C4⋊C4—1882no—
599C4⋊C4C2×C22⋊D4712yes—
600C4⋊C4C2×C22⋊D4712yes—
601C22⋊C4—22no—
602C22⋊C4—22no—
603C22⋊C4—948no—
604C22⋊C4—3764no—
605C22⋊C4—1882no—
606C42—22no—
607C42—22no—
608C42—948no—
609C42—942no—
610C42—942no—
611C23—22no—
612C23—41no—
613C23—41no—
614C23—42no—
615C23—42no—
616C23—41no—
617C23—41no—
618C23—944no—
619C23—942no—
620C23—1882no—
621C23—1882no—
622C23(C22⋊D47)⋊C412yes—
623C23#1309399211yescharacteristic
624C23#1309399211yescharacteristic
625C23#1309399712yes—
626C23C2×D4×D4711yescharacteristic
627Q8—22no—
628Q8—22no—
629Q8—41no—
630Q8—41no—
631Q8—474no—
632Q8—944no—
633Q8—942no—
634D4—22no—
635D4—22no—
636D4—44no—
637D4—44no—
638D4—41no—
639D4—41no—
640D4—474no—
641D4—948no—
642D4—944no—
643D4—944no—
644D4—944no—
645D4—942no—
646C2×C4—22no—
647C2×C4—22no—
648C2×C4—22no—
649C2×C4—42no—
650C2×C4—42no—
651C2×C4—41no—
652C2×C4—41no—
653C2×C4—44no—
654C2×C4—44no—
655C2×C4—944no—
656C2×C4—942no—
657C2×C4—948no—
658C2×C4—944no—
659C2×C4—944no—
660C2×C4—944no—
661C2×C4—3768no—
662C2×C4—3762no—
663C2×C4—1882no—
664C2×C4—1882no—
665C2×C4—1882no—
666C2×C4—1884no—
667C2×C4—1884no—
668C2×C4C22⋊C4×D4712yes—
669C2×C4C22⋊C4×D4712yes—
670C2×C4(C22⋊D47)⋊C412yes—
671C2×C4C4×C22⋊D4712yes—
672C2×C4C4×C22⋊D4712yes—
673C2×C4#1309399211yescharacteristic
674C2×C4#1309399211yescharacteristic
675C2×C4#1309399512yes—
676C2×C4#1309399512yes—
677C2×C4#1309399712yes—
678C2×C4#1309400612yes—
679C2×C4#1309400612yes—
680C2×C4C22×C4×D4711yescharacteristic
681C2×C4C2×D4×D4711yescharacteristic
682C2×C4C2×D4×D4711yescharacteristic
683C2×C4C22×C22⋊D4711yescharacteristic
684C2×C4C2×#1062535211yescharacteristic
685C2×C4C2×#1062535011yescharacteristic
686C8—42no—
687C8—944no—
688C22—21no—
689C22—21no—
690C22—21no—
691C22—21no—
692C22—21no—
693C22—21no—
694C22—42no—
695C22—42no—
696C22—44no—
697C22—42no—
698C22—82no—
699C22—81no—
700C22—81no—
701C22—944no—
702C22—1888no—
703C22—1882no—
704C22—1882no—
705C22#1568899912yes—
706C22#1568899912yes—
707C22C2×(C22⋊D47)⋊C411yescharacteristic
708C22C2×#1309399211yescharacteristic
709C22C2×#1309399711yescharacteristic
710C4—42no—
711C4—42no—
712C4—42no—
713C4—944no—
714C4—3762no—
715C4—1884no—
716C4#1568899912yes—
717C4#1568899912yes—
718C4C2×C22⋊C4×D4711yescharacteristic
719C4C2×C4×C22⋊D4711yescharacteristic
720C4C2×#1309399511yescharacteristic
721C4C2×#1309400611yescharacteristic
722C2—21no—
723C2—21no—
724C2—22no—
725C2—22no—
726C2—82no—
727C2—1884no—
728C2C2×#1568899911yescharacteristic
729C2#2025274311yescharacteristic
730C2#2025275011yescharacteristic
subgroupG/H
centerC22C2×#13093992
commutatorC2×C4×C47C23×C4
FrattiniC22×C4C23×D47
FittingC47×#2896C2
socleC22×C47C2×#120
prime radicalC2×#15689921C2
cosocleC22×C4×C47C24
hypercenter#2896D47
hypocenterC47#20943
LCSG ▷ C2×C4×C47 ▷ C2×C47 ▷ C47
UCSC1 ◁ C22 ◁ C23×C4 ◁ #2896

Complements

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

NH ≅ G/Ntype
2. C2×#15689603C2semidirect
3. C2×#15689139C2semidirect
4. #20245980C2semidirect
5. #20243761C2semidirect
6. #20243754C2semidirect
7. C2×#15688891C2semidirect
8. #20243097C2semidirect
9. C47×#2896C2semidirect
12. #15689921C4semidirect
32. #15689030C22semidirect
33. #15689026C22semidirect
36. #15688891C22semidirect
37. #15688882C22semidirect
41. C47×#419C22semidirect
42. C47×#418C22semidirect
61. #13094055C2×C4semidirect
64. #13094050C2×C4semidirect
73. C2×#10625329C2×C4semidirect
110. C2×#41×C47C2×C4semidirect
149. C2×Q8×C47C22×C4semidirect
159. C2×D4×C47C22×C4semidirect
194. #10625350C22⋊C4semidirect
199. C2×D188C22⋊C4semidirect
209. C2×Dic94C22⋊C4semidirect
242. #10625329C22×C4semidirect
360. #2896D47semidirect
400. #419C2×D47semidirect
401. #418C2×D47semidirect
411. C47#20943semidirect
427. C2×#41C4×D47semidirect
529. C2×Q8C2×C4×D47semidirect
547. C2×D4C2×C4×D47semidirect

Maximal subgroups

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

subgroupindex
C2×#156899212
C2×#156896032
C2×#156891392
#202459802
#202437612
#202437542
C2×#156888912
#202430972
C47×#28962
#2094347