Finite Group Databasebeta

← #26217796

Subgroups — #26217796

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×#15689606C211yesmaximal, characteristic, complemented
2C2×#15689140C211yesmaximal, characteristic, complemented
3#20251907C211yesmaximal, characteristic, complemented
4#20245980C211yesmaximal, characteristic, complemented
5#20243766C214yesmaximal, complemented
6#20243759C214yesmaximal, complemented
7C2×#15688891C211yesmaximal, characteristic, complemented
8#20243099C211yesmaximal, characteristic, complemented
9C2×C47×#575C211yesmaximal, characteristic
10C22×#10625329C2211yescharacteristic
11#15689606—22no—
12#15689606—22no—
13#15689606—22no—
14#15689606C2214yes—
15C2×Q8×Dic47—21no—
16C2×D4×Dic47—22no—
17C2×D4×Dic47—21no—
18C2×#13093983—21no—
19C2×#13093983C2211yescharacteristic
20C2×#13093983C2211yescharacteristic
21C22×C4⋊Dic47—21no—
22C22×C4⋊Dic47C2211yescharacteristic
23#15689140—24no—
24C2×#13093951C2214yes—
25#15689132C2212yescomplemented
26#15689128C2212yescomplemented
27#15689124—21no—
28#15689124—21no—
29#15689119—22no—
30#15689030C2212yescomplemented
31#15689026C2212yescomplemented
32#15689003—22no—
33#15688983—22no—
34#15688891C2214yescomplemented
35#15688884C2214yescomplemented
36C22×#41×C47C2211yescharacteristic
37C22×#41×C47C2211yescharacteristic
38C47×#575—24no—
39C47×#575C418yescomplemented
40C2×#137×C47—21no—
41C2×#137×C47C2212yes—
42C2×AGL(1,ℤ/8)×C47—21no—
43C2×AGL(1,ℤ/8)×C47C2212yes—
44C2×#135×C47—22no—
45C22×M16×C47C2211yescharacteristic
46C23×Dic47—22no—
47C23×Dic47D412yes—
48C2×#10625329—21no—
49C2×#10625329—22no—
50C2×#10625329—22no—
51C2×#10625329C2312yes—
52C22×C47⋊C8—21no—
53Q8×Dic47—24no—
54Q8×Dic47—24no—
55D4×Dic47—28no—
56D4×Dic47—24no—
57D4×Dic47—24no—
58D4×Dic47—28no—
59#13093983—24no—
60#13093983—21no—
61#13093983—21no—
62#13093983—24no—
63#13093983—22no—
64#13093983—22no—
65#13093983D412yes—
66#13093983C2312yes—
67C2×C4⋊Dic47—22no—
68C2×C4⋊Dic47—24no—
69C2×C4⋊Dic47—21no—
70C2×C4⋊Dic47—21no—
71C2×C4⋊Dic47—21no—
72C2×C4⋊Dic47—21no—
73C2×C4⋊Dic47—24no—
74C2×C4⋊Dic47—21no—
75C2×C4⋊Dic47D412yes—
76C2×C4⋊Dic47D411yescharacteristic
77C2×C4⋊Dic47D411yescharacteristic
78C2×C4⋊Dic47C2312yes—
79C2×C22⋊Dic47—22no—
80C2×C22⋊Dic47—21no—
81C2×C22⋊Dic47—21no—
82C2×C22⋊Dic47—24no—
83C2×C4×Dic47—22no—
84C2×C4×Dic47—21no—
85C2×C4×Dic47C2312yes—
86#13093951—28no—
87#13093948—22no—
88#13093948—22no—
89#13093945—22no—
90#13093945—22no—
91C47⋊#95—24no—
92C2×#41×C47—21no—
93C2×#41×C47—21no—
94C2×#41×C47—22no—
95C2×#41×C47—22no—
96C2×#41×C47—22no—
97C2×#41×C47—21no—
98C2×#41×C47—21no—
99C2×#41×C47—22no—
100C2×#41×C47—21no—
101C2×#41×C47—21no—
102C2×#41×C47—22no—
103C2×#41×C47C2×C414yes—
104C2×#41×C47C2×C414yescomplemented
105C2×#41×C47D414yes—
106C2×#41×C47D412yes—
107C2×#41×C47C2312yes—
108C22×Q8×C47D411yescharacteristic
109C22×Q8×C47C2311yescharacteristic
110C22×D4×C47—21no—
111C22×D4×C47—21no—
112C22×D4×C47D411yescharacteristic
113C22×D4×C47C2311yescharacteristic
114C23×C4×C47—21no—
115C23×C4×C47—21no—
116C23×C4×C47C2311yescharacteristic
117#137×C47—24no—
118#137×C47—28no—
119#137×C47C2×C418yescomplemented
120AGL(1,ℤ/8)×C47—24no—
121AGL(1,ℤ/8)×C47—28no—
122AGL(1,ℤ/8)×C47C2×C418yescomplemented
123#135×C47—216no—
124C2×Q16×C47—22no—
125C2×SD16×C47—22no—
126C2×SD16×C47—22no—
127C2×D8×C47—22no—
128C2×M16×C47—21no—
129C2×M16×C47—22no—
130C2×M16×C47C2×C414yescomplemented
131C2×M16×C47C2312yes—
132C22×C8×C47—21no—
133C24×C47—21no—
134C24×C47—21no—
135C24×C47C2×D411yescharacteristic
136#41×C47—24no—
137#41×C47—24no—
138#41×C47—24no—
139#41×C47—24no—
140#41×C47—24no—
141#41×C47—22no—
142#41×C47—22no—
143#41×C47—24no—
144#41×C47—24no—
145#41×C47—24no—
146#41×C47—24no—
147#41×C47—42no—
148#41×C47—42no—
149#41×C47—42no—
150#41×C47—42no—
151#41×C47C22⋊C418yescomplemented
152#41×C47C22×C414yes—
153#41×C47C2×D414yes—
154C2×Q8×C47—21no—
155C2×Q8×C47—22no—
156C2×Q8×C47—21no—
157C2×Q8×C47—21no—
158C2×Q8×C47—21no—
159C2×Q8×C47—21no—
160C2×Q8×C47—21no—
161C2×Q8×C47C22⋊C414yescomplemented
162C2×Q8×C47C22×C412yescomplemented
163C2×Q8×C47C2×D412yes—
164C2×D4×C47—24no—
165C2×D4×C47—22no—
166C2×D4×C47—24no—
167C2×D4×C47—22no—
168C2×D4×C47—24no—
169C2×D4×C47—21no—
170C2×D4×C47—22no—
171C2×D4×C47—21no—
172C2×D4×C47—21no—
173C2×D4×C47—21no—
174C2×D4×C47—21no—
175C2×D4×C47—21no—
176C2×D4×C47—41no—
177C2×D4×C47—41no—
178C2×D4×C47—42no—
179C2×D4×C47C22⋊C414yescomplemented
180C2×D4×C47C22×C412yescomplemented
181C2×D4×C47C2×D412yes—
182C22×C4×C47—21no—
183C22×C4×C47—24no—
184C22×C4×C47—22no—
185C22×C4×C47—24no—
186C22×C4×C47—22no—
187C22×C4×C47—21no—
188C22×C4×C47—24no—
189C22×C4×C47—41no—
190C22×C4×C47—41no—
191C22×C4×C47—42no—
192C22×C4×C47C22×C412yes—
193C22×C4×C47C2×D411yescharacteristic
194C22×C4×C47C2×D411yescharacteristic
195C22×C4×C47C2×D412yes—
196C22×C4×C47C2×D411yescharacteristic
197C22×C4×C47C2×D411yescharacteristic
198C22×C4×C47C2×D411yescharacteristic
199C22×C4×C47#4112yes—
200C22×C4×C47#4112yes—
201C22×C4×C47C2411yescharacteristic
202C22×Dic47—21no—
203C22×Dic47—22no—
204C22×Dic47—21no—
205C22×Dic47—28no—
206C22×Dic47—22no—
207C22×Dic47—22no—
208C22×Dic47—82no—
209C22×Dic47—84no—
210C22×Dic47C2×D414yes—
211Q16×C47—28no—
212SD16×C47—28no—
213SD16×C47—28no—
214D8×C47—28no—
215M16×C47—24no—
216M16×C47—22no—
217M16×C47C22×C414yescomplemented
218C2×C8×C47—24no—
219C2×C8×C47—22no—
220C22⋊Dic47—28no—
221C22⋊Dic47—22no—
222C22⋊Dic47—22no—
223C22⋊Dic47—42no—
224C22⋊Dic47—84no—
225C4⋊Dic47—28no—
226C4⋊Dic47—22no—
227C4⋊Dic47—21no—
228C4⋊Dic47—22no—
229C4⋊Dic47—21no—
230C4⋊Dic47—22no—
231C4⋊Dic47—22no—
232C4⋊Dic47—42no—
233C4⋊Dic47C2×D412yes—
234C4⋊Dic47C2×D412yes—
235C4×Dic47—28no—
236C4×Dic47—22no—
237C4×Dic47—22no—
238C4×Dic47—22no—
239C4×Dic47—22no—
240#10625329—22no—
241#10625329—22no—
242#10625329—42no—
243C2×C47⋊C8—22no—
244C2×C47⋊C8—42no—
245C23×C47—22no—
246C23×C47—24no—
247C23×C47—22no—
248C23×C47—41no—
249C23×C47—41no—
250C23×C47—42no—
251C23×C47—42no—
252C23×C47—42no—
253C23×C47—42no—
254C23×C47—41no—
255C23×C47—41no—
256C23×C47C4×D412yes—
257C23×C47#12011yescharacteristic
258C23×C47#12011yescharacteristic
259C23×C47#12112yes—
260C23×C47C22×D411yescharacteristic
261Q8×C47—22no—
262Q8×C47—24no—
263Q8×C47—22no—
264Q8×C47—22no—
265Q8×C47—41no—
266Q8×C47—41no—
267Q8×C47C2×C22⋊C414yes—
268D4×C47—24no—
269D4×C47—24no—
270D4×C47—28no—
271D4×C47—22no—
272D4×C47—22no—
273D4×C47—22no—
274D4×C47—24no—
275D4×C47—44no—
276D4×C47—44no—
277D4×C47—41no—
278D4×C47—41no—
279D4×C47C2×C22⋊C414yes—
280C2×C4×C47—22no—
281C2×C4×C47—24no—
282C2×C4×C47—24no—
283C2×C4×C47—24no—
284C2×C4×C47—28no—
285C2×C4×C47—22no—
286C2×C4×C47—41no—
287C2×C4×C47—41no—
288C2×C4×C47—44no—
289C2×C4×C47—44no—
290C2×C4×C47C2×C22⋊C412yes—
291C2×C4×C47C2×C22⋊C412yes—
292C2×C4×C47C4×D412yes—
293C2×C4×C47C4×D412yes—
294C2×C4×C47C4×D412yes—
295C2×C4×C47#12011yescharacteristic
296C2×C4×C47#12011yescharacteristic
297C2×C4×C47#12112yes—
298C2×C4×C47#12112yes—
299C2×C4×C47#12112yes—
300C2×C4×C47#12312yes—
301C2×C4×C47#12312yes—
302C2×C4×C47C23×C411yescharacteristic
303C2×C4×C47C22×D411yescharacteristic
304C2×C4×C47C22×D411yescharacteristic
305C2×C4×C47C22×D411yescharacteristic
306C2×C4×C47C2×#4111yescharacteristic
307C2×C4×C47C2×#4111yescharacteristic
308C2×Dic47—22no—
309C2×Dic47—24no—
310C2×Dic47—22no—
311C2×Dic47—42no—
312C2×Dic47—44no—
313C2×Dic47—42no—
314C2×Dic47—44no—
315C2×Dic47—42no—
316C2×Dic47—42no—
317C2×Dic47—42no—
318C2×Dic47—82no—
319C2×Dic47—88no—
320C8×C47—24no—
321C47⋊C8—42no—
322#20943—471nomaximal, Sylow
323C22×C47—21no—
324C22×C47—21no—
325C22×C47—21no—
326C22×C47—21no—
327C22×C47—21no—
328C22×C47—21no—
329C22×C47—24no—
330C22×C47—42no—
331C22×C47—42no—
332C22×C47—48no—
333C22×C47—44no—
334C22×C47—42no—
335C22×C47—42no—
336C22×C47—42no—
337C22×C47—82no—
338C22×C47—81no—
339C22×C47—81no—
340C22×C47#38612yes—
341C22×C47#38612yes—
342C22×C47C2×C4×D411yescharacteristic
343C22×C47C2×#12011yescharacteristic
344C22×C47C2×#12111yescharacteristic
345C4×C47—24no—
346C4×C47—42no—
347C4×C47#38612yes—
348C4×C47#38612yes—
349C4×C47C22×C22⋊C411yescharacteristic
350C4×C47C2×C4×D411yescharacteristic
351C4×C47C2×#12111yescharacteristic
352C4×C47C2×#12311yescharacteristic
353Dic47—44no—
354Dic47—42no—
355Dic47—42no—
356Dic47—82no—
357C2×#575D4711yescharacteristic
358C2×#520—471no—
359C2×#421—471no—
360#2896—471no—
361#2311—471no—
362#1883—474no—
363#1882—474no—
364C2×#343—471no—
365#1733—471no—
366C2×C47—21no—
367C2×C47—21no—
368C2×C47—22no—
369C2×C47—22no—
370C2×C47—44no—
371C2×C47—82no—
372C2×C47C2×#38611yescharacteristic
373C2×C47#301911yescharacteristic
374C2×C47#302011yescharacteristic
375C22×#41C2×D4711yescharacteristic
376C22×#41C2×D4711yescharacteristic
377#575—24no—
378#575Dic4718yescomplemented
379C2×#137—21no—
380C2×#137C2×D4712yes—
381C2×AGL(1,ℤ/8)—21no—
382C2×AGL(1,ℤ/8)C2×D4712yes—
383C2×#135—22no—
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—942no—
392C2×C4×D4—941no—
393C2×#117—471no—
394C2×#117—471no—
395C2×#117—941no—
396C22×C4⋊C4—471no—
397C22×C4⋊C4—941no—
398#421—944no—
399C2×#104—474no—
400#419—472no—
401#418—472no—
402#417—941no—
403#417—941no—
404#416—942no—
405#391—472no—
406#390—472no—
407#386—942no—
408#380—942no—
409#343—474no—
410#339—474no—
411C47#2094311yescharacteristic, complemented, Sylow
412C2×#41—21no—
413C2×#41—21no—
414C2×#41—22no—
415C2×#41—22no—
416C2×#41—22no—
417C2×#41—21no—
418C2×#41—21no—
419C2×#41—22no—
420C2×#41—21no—
421C2×#41—21no—
422C2×#41—22no—
423C2×#41C2×Dic4714yes—
424C2×#41C2×Dic4714yescomplemented
425C2×#41C22⋊D4714yes—
426C2×#41C22⋊D4712yes—
427C2×#41C22×D4712yes—
428C22×Q8C22⋊D4711yescharacteristic
429C22×Q8C22×D4711yescharacteristic
430C22×D4—21no—
431C22×D4—21no—
432C22×D4C22⋊D4711yescharacteristic
433C22×D4C22×D4711yescharacteristic
434C23×C4—21no—
435C23×C4—21no—
436C23×C4—472no—
437C23×C4—942no—
438C23×C4C22×D4711yescharacteristic
439#137—24no—
440#137—28no—
441#137C2×Dic4718yescomplemented
442AGL(1,ℤ/8)—24no—
443AGL(1,ℤ/8)—28no—
444AGL(1,ℤ/8)C2×Dic4718yescomplemented
445#135—216no—
446C2×Q16—22no—
447C2×SD16—22no—
448C2×SD16—22no—
449C2×D8—22no—
450C2×M16—21no—
451C2×M16—22no—
452C2×M16—472no—
453C2×M16—941no—
454C2×M16—942no—
455C2×M16—942no—
456C2×M16C2×Dic4714yescomplemented
457C2×M16C22×D4712yes—
458C22×C8—21no—
459C22×C8—941no—
460C4×Q8—944no—
461C4×Q8—944no—
462C4×D4—948no—
463C4×D4—948no—
464C4×D4—944no—
465C4×D4—944no—
466#117—472no—
467#117—472no—
468#117—944no—
469#117—944no—
470#117—941no—
471#117—941no—
472#117—942no—
473#117—942no—
474C2×C4⋊C4—471no—
475C2×C4⋊C4—471no—
476C2×C4⋊C4—472no—
477C2×C4⋊C4—472no—
478C2×C4⋊C4—944no—
479C2×C4⋊C4—942no—
480C2×C4⋊C4—944no—
481C2×C4⋊C4—941no—
482C2×C4⋊C4—941no—
483C2×C4⋊C4—941no—
484C2×C4⋊C4—941no—
485C2×C4⋊C4—941no—
486C2×C22⋊C4—942no—
487C2×C22⋊C4—941no—
488C2×C22⋊C4—944no—
489C2×C22⋊C4—941no—
490C2×C42—472no—
491C2×C42—942no—
492C2×C42—941no—
493#104—948no—
494#103—942no—
495#103—942no—
496#102—942no—
497#102—942no—
498#95—944no—
499C24—21no—
500C24—21no—
501C24D4×D4711yescharacteristic
502#41—24no—
503#41—24no—
504#41—24no—
505#41—24no—
506#41—24no—
507#41—22no—
508#41—22no—
509#41—24no—
510#41—24no—
511#41—24no—
512#41—24no—
513#41—42no—
514#41—42no—
515#41—42no—
516#41—42no—
517#41C22⋊Dic4718yescomplemented
518#41C22×Dic4714yes—
519#41C2×C22⋊D4714yes—
520C2×Q8—21no—
521C2×Q8—22no—
522C2×Q8—21no—
523C2×Q8—21no—
524C2×Q8—21no—
525C2×Q8—21no—
526C2×Q8—21no—
527C2×Q8C22⋊Dic4714yescomplemented
528C2×Q8C22×Dic4712yescomplemented
529C2×Q8C2×C22⋊D4712yes—
530C2×D4—24no—
531C2×D4—22no—
532C2×D4—24no—
533C2×D4—22no—
534C2×D4—24no—
535C2×D4—21no—
536C2×D4—22no—
537C2×D4—21no—
538C2×D4—21no—
539C2×D4—21no—
540C2×D4—21no—
541C2×D4—21no—
542C2×D4—41no—
543C2×D4—41no—
544C2×D4—42no—
545C2×D4C22⋊Dic4714yescomplemented
546C2×D4C22×Dic4712yescomplemented
547C2×D4C2×C22⋊D4712yes—
548C22×C4—21no—
549C22×C4—24no—
550C22×C4—22no—
551C22×C4—24no—
552C22×C4—22no—
553C22×C4—21no—
554C22×C4—24no—
555C22×C4—41no—
556C22×C4—41no—
557C22×C4—42no—
558C22×C4—474no—
559C22×C4—948no—
560C22×C4—942no—
561C22×C4—941no—
562C22×C4—941no—
563C22×C4—942no—
564C22×C4—942no—
565C22×C4—3764no—
566C22×C4—3762no—
567C22×C4D4×D4711yescharacteristic
568C22×C4D4×D4711yescharacteristic
569C22×C4D4×D4711yescharacteristic
570C22×C4#1062535212yes—
571C22×C4#1062535212yes—
572C22×C4C22×Dic4712yes—
573C22×C4C2×C22⋊D4711yescharacteristic
574C22×C4C2×C22⋊D4711yescharacteristic
575C22×C4C2×C22⋊D4712yes—
576C22×C4C23×D4711yescharacteristic
577Q16—28no—
578SD16—28no—
579SD16—28no—
580D8—28no—
581M16—24no—
582M16—22no—
583M16—942no—
584M16—942no—
585M16—1882no—
586M16C22×Dic4714yescomplemented
587C2×C8—24no—
588C2×C8—22no—
589C2×C8—942no—
590C2×C8—1882no—
591C4⋊C4—472no—
592C4⋊C4—472no—
593C4⋊C4—948no—
594C4⋊C4—941no—
595C4⋊C4—942no—
596C4⋊C4—942no—
597C4⋊C4—941no—
598C4⋊C4—942no—
599C4⋊C4—942no—
600C4⋊C4—1882no—
601C22⋊C4—948no—
602C22⋊C4—942no—
603C22⋊C4—942no—
604C22⋊C4—3764no—
605C22⋊C4—1882no—
606C42—948no—
607C42—942no—
608C42—942no—
609C42—942no—
610C42—942no—
611C23—24no—
612C23—22no—
613C23—22no—
614C23—41no—
615C23—41no—
616C23—42no—
617C23—42no—
618C23—42no—
619C23—42no—
620C23—41no—
621C23—41no—
622C23D4×Dic4712yes—
623C23#1309399211yescharacteristic
624C23#1309399211yescharacteristic
625C23#1309399612yes—
626C23C2×D4×D4711yescharacteristic
627Q8—24no—
628Q8—22no—
629Q8—22no—
630Q8—22no—
631Q8—41no—
632Q8—41no—
633Q8C2×C22⋊Dic4714yes—
634D4—28no—
635D4—24no—
636D4—24no—
637D4—24no—
638D4—22no—
639D4—22no—
640D4—22no—
641D4—44no—
642D4—44no—
643D4—41no—
644D4—41no—
645D4C2×C22⋊Dic4714yes—
646C2×C4—24no—
647C2×C4—22no—
648C2×C4—28no—
649C2×C4—24no—
650C2×C4—24no—
651C2×C4—22no—
652C2×C4—41no—
653C2×C4—41no—
654C2×C4—44no—
655C2×C4—44no—
656C2×C4—942no—
657C2×C4—942no—
658C2×C4—944no—
659C2×C4—3762no—
660C2×C4—3768no—
661C2×C4—1882no—
662C2×C4—1882no—
663C2×C4—1882no—
664C2×C4—1882no—
665C2×C4—1882no—
666C2×C4—1884no—
667C2×C4—1884no—
668C2×C4C2×C22⋊Dic4712yes—
669C2×C4C2×C22⋊Dic4712yes—
670C2×C4D4×Dic4712yes—
671C2×C4D4×Dic4712yes—
672C2×C4D4×Dic4712yes—
673C2×C4#1309399211yescharacteristic
674C2×C4#1309399211yescharacteristic
675C2×C4#1309399612yes—
676C2×C4#1309399612yes—
677C2×C4#1309399612yes—
678C2×C4#1309400512yes—
679C2×C4#1309400512yes—
680C2×C4C23×Dic4711yescharacteristic
681C2×C4C2×D4×D4711yescharacteristic
682C2×C4C22×C22⋊D4711yescharacteristic
683C2×C4C22×C22⋊D4711yescharacteristic
684C2×C4C2×#1062535211yescharacteristic
685C2×C4C2×#1062535211yescharacteristic
686C8—24no—
687C8—1882no—
688C22—21no—
689C22—21no—
690C22—21no—
691C22—21no—
692C22—21no—
693C22—21no—
694C22—24no—
695C22—42no—
696C22—42no—
697C22—48no—
698C22—44no—
699C22—42no—
700C22—42no—
701C22—42no—
702C22—82no—
703C22—81no—
704C22—81no—
705C22#1568900312yes—
706C22#1568900312yes—
707C22C2×D4×Dic4711yescharacteristic
708C22C2×#1309399211yescharacteristic
709C22C2×#1309399611yescharacteristic
710C4—24no—
711C4—42no—
712C4—3762no—
713C4—1882no—
714C4—1884no—
715C4—1882no—
716C4#1568900312yes—
717C4#1568900312yes—
718C4C22×C22⋊Dic4711yescharacteristic
719C4C2×D4×Dic4711yescharacteristic
720C4C2×#1309399611yescharacteristic
721C4C2×#1309400511yescharacteristic
722C2—21no—
723C2—22no—
724C2—21no—
725C2—22no—
726C2—44no—
727C2—82no—
728C2C2×#1568900311yescharacteristic
729C2#2025274311yescharacteristic
730C2#2025275011yescharacteristic
subgroupG/H
centerC22C2×#13093992
commutatorC2×C4×C47C23×C4
FrattiniC22×C4C23×D47
Fitting, prime radicalC2×C47×#575C2
socleC22×C47C2×#120
cosocleC22×C4×C47C24
hypercenterC2×#575D47
hypocenterC47#20943
LCSG ▷ C2×C4×C47 ▷ C2×C47 ▷ C47
UCSC1 ◁ C22 ◁ C23×C4 ◁ C2×#575

Complements

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

NH ≅ G/Ntype
1. C2×#15689606C2semidirect
2. C2×#15689140C2semidirect
3. #20251907C2semidirect
4. #20245980C2semidirect
5. #20243766C2semidirect
6. #20243759C2semidirect
7. C2×#15688891C2semidirect
8. #20243099C2semidirect
25. #15689132C22semidirect
26. #15689128C22semidirect
30. #15689030C22semidirect
31. #15689026C22semidirect
34. #15688891C22semidirect
35. #15688884C22semidirect
39. C47×#575C4semidirect
104. C2×#41×C47C2×C4semidirect
119. #137×C47C2×C4semidirect
122. AGL(1,ℤ/8)×C47C2×C4semidirect
130. C2×M16×C47C2×C4semidirect
151. #41×C47C22⋊C4semidirect
161. C2×Q8×C47C22⋊C4semidirect
162. C2×Q8×C47C22×C4semidirect
179. C2×D4×C47C22⋊C4semidirect
180. C2×D4×C47C22×C4semidirect
217. M16×C47C22×C4semidirect
378. #575Dic47semidirect
411. C47#20943semidirect
424. C2×#41C2×Dic47semidirect
441. #137C2×Dic47semidirect
444. AGL(1,ℤ/8)C2×Dic47semidirect
456. C2×M16C2×Dic47semidirect
517. #41C22⋊Dic47semidirect
527. C2×Q8C22⋊Dic47semidirect
528. C2×Q8C22×Dic47semidirect
545. C2×D4C22⋊Dic47semidirect
546. C2×D4C22×Dic47semidirect
586. M16C22×Dic47semidirect

Maximal subgroups

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

subgroupindex
C2×#156896062
C2×#156891402
#202519072
#202459802
#202437662
#202437592
C2×#156888912
#202430992
C2×C47×#5752
#2094347