Finite Group Databasebeta

← C4×#15689931 #27080513

Subgroups — C4×#15689931 #27080513

Order 12032.

2742 conjugacy classes of subgroups.

The subgroup lattice has 680 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#15689931C211yesmaximal, characteristic
2C4×#13094070C211yesmaximal, characteristic, complemented
3#20252269C213yesmaximal, complemented
4#20252247C213yesmaximal, complemented
5#20252231C213yesmaximal, complemented
6#20252216C213yesmaximal, complemented
7C4×#13094055C213yesmaximal, complemented
8C4×#13094049C213yesmaximal, complemented
9C4×#13094044C213yesmaximal, complemented
10C2×C4×#10625336C213yesmaximal, complemented
11#20251981C211yesmaximal, characteristic, complemented
12#20251921C211yesmaximal, characteristic, complemented
13#20251911C211yesmaximal, characteristic, complemented
14C4×#13094031C211yesmaximal, characteristic, complemented
15C4×2−1+4×C47C211yesmaximal, characteristic, complemented
16C2×#13094070C2211yescharacteristic
17#15689931C4116yesdirect product factor
18C2×#13094055C2213yes—
19C2×#13094049C2213yes—
20C2×#13094044C2213yes—
21C22×#10625336C2213yes—
22C2×#13094031C2211yescharacteristic
23C2×#13094031C2211yescharacteristic
24#15689606C2211yescharacteristic
25#15689605—21no—
26#15689603C2213yes—
27#15689597C2213yes—
28#15689595—23no—
29C4×#10625354—21no—
30C4×#10625350C2213yes—
31C2×C4×D188C2213yes—
32C4×D4×D47—23no—
33#15689233C2216yescomplemented
34#15689228C2216yescomplemented
35#15689221C2216yescomplemented
36#15689221C2216yescomplemented
37C4×#10625337C2213yescomplemented
38C4×#10625337C2213yescomplemented
39C4×#10625336C2216yescomplemented
40C4×#10625336C2216yescomplemented
41C4×#10625336C2213yescomplemented
42C4×#10625336C2216yescomplemented
43C4×#10625336C2213yescomplemented
44C4×#10625335C2213yescomplemented
45C4×#10625335C2211yescharacteristic, complemented
46C4×#10625334C2213yescomplemented
47C4×#10625334C2213yescomplemented
48#15689166C2213yescomplemented
49#15689163C2213yescomplemented
50#15689159C2213yescomplemented
51C2×#13093955C2213yescomplemented
52#15689132C2213yescomplemented
53#15689127C2213yes—
54#15689124C2213yescomplemented
55#15689122C2213yes—
56#15689119C2213yescomplemented
57#15689117C2213yes—
58C2×#13093948C2213yescomplemented
59C2×#13093944C2213yes—
60#15689079C2213yescomplemented
61#15689079C2213yescomplemented
62C4×#10625329C2213yescomplemented
63C2×C4×C47⋊C8C2213yescomplemented
64C2×2−1+4×C47C2211yescharacteristic
65C47×#520—23no—
66C47×#520C2211yescharacteristic
67C47×#520C2213yescomplemented
68C47×#519—21no—
69C47×#519C2213yescomplemented
70C4×#41×C47—23no—
71C4×#41×C47C2211yescharacteristic
72C4×#41×C47C2213yescomplemented
73C2×C4×Q8×C47—21no—
74C2×C4×Q8×C47C2213yescomplemented
75#13094070—24no—
76#13094070C2×C418yescomplemented
77C2×#10625354—21no—
78C2×#10625350C2313yes—
79C22×D188C2313yes—
80C2×D4×D47—23no—
81C22×C4×D47—23no—
82#13094055C2×C4124yescomplemented
83#13094049C2×C4124yescomplemented
84#13094044C2×C4124yescomplemented
85C2×#10625337C2313yes—
86C2×#10625335C2311yescharacteristic
87C2×#10625336C2×C4124yescomplemented
88C2×#10625336C2316yes—
89C2×#10625336C2313yes—
90C2×#10625334C2313yes—
91#13094031—24no—
92#13094031C2×C418yescomplemented
93C2×#10625329C2313yes—
94C2×#10625329C2313yes—
95C22×C47⋊C8C2313yes—
96C22×C47⋊C8C2313yes—
97Q8×Dic47—21no—
98C4×Dic94C2311yescharacteristic
99C4×Dic94C2313yes—
100C4×D188—23no—
101C4×D188—23no—
102C4×D188C2313yes—
103C4×D188C2316yes—
104C4×D188C2313yes—
105D4×Dic47—23no—
106#13093986—23no—
107#13093986—23no—
108C4×C22⋊D47—23no—
109C4×C22⋊D47—23no—
110(C22⋊D47)⋊C4—26no—
111#13093983C2313yes—
112#13093982—23no—
113#13093981—23no—
114C2×C4⋊Dic47C2313yes—
115C4⋊C4×D47—23no—
116C2×(C2×D47)⋊C4—23no—
117C22⋊C4×D47—26no—
118C42×D47—23no—
119#13093957C2313yes—
120#13093957C2313yes—
121#13093955C2316yes—
122#13093955C2313yes—
123#13093955C2311yescharacteristic
124#13093948C2313yes—
125#13093948C2313yes—
126#13093948C2316yes—
127#13093947C2311yescharacteristic
128#13093947C2313yes—
129#13093945C2313yes—
130#13093945C2311yescharacteristic
131#13093944C2313yes—
132#13093944C2316yes—
133#13093944C2313yes—
134#13093935C2316yes—
135C4×C47⋊C8C2313yes—
136C4×C47⋊C8C2313yes—
137C4×C47⋊C8C2311yescharacteristic
138C4×C47⋊C8C2313yes—
1392−1+4×C47—24no—
1402−1+4×C47C2×C418yescomplemented
141C2×#41×C47—23no—
142C2×#41×C47C2313yes—
143C2×#41×C47C2311yescharacteristic
144C22×Q8×C47—21no—
145C22×Q8×C47C2313yes—
146C4×Q8×C47—21no—
147C4×Q8×C47—23no—
148C4×Q8×C47—23no—
149C4×Q8×C47—23no—
150C4×Q8×C47—23no—
151C4×Q8×C47D411yescharacteristic
152C4×Q8×C47D411yescharacteristic
153C4×Q8×C47C2313yes—
154C4×Q8×C47C2313yes—
155C4×Q8×C47C2316yes—
156C4×D4×C47—23no—
157C4×D4×C47—23no—
158C4×D4×C47—23no—
159C4×D4×C47—26no—
160C4×D4×C47D413yes—
161C4×D4×C47D413yes—
162C4×D4×C47C2313yes—
163C4×D4×C47C2311yescharacteristic
164#117×C47—23no—
165#117×C47—26no—
166#117×C47—23no—
167#117×C47C2313yes—
168#117×C47C2313yes—
169C2×C4⋊C4×C47—23no—
170C2×C4⋊C4×C47—23no—
171C2×C4⋊C4×C47C2313yes—
172C2×C42×C47—23no—
173C2×C42×C47—23no—
174C2×C42×C47C2313yes—
175C23×D47—23no—
176#41×C47—224no—
177#41×C47—26no—
178#41×C47C22×C414yes—
179#41×C47C22×C4112yescomplemented
180#41×C47#4114yes—
181C2×Q8×C47—28no—
182C2×Q8×C47—23no—
183C2×Q8×C47—26no—
184C2×Q8×C47C22×C4112yescomplemented
185C2×Q8×C47C2×D411yescharacteristic
186C2×Q8×C47C2413yes—
187C2×D4×C47—23no—
188C2×D4×C47C2×D413yes—
189C2×D4×C47C2411yescharacteristic
190C22×C4×C47—23no—
191C22×C4×C47—23no—
192C22×C4×C47—23no—
193C22×C4×C47—21no—
194C22×C4×C47—23no—
195C22×C4×C47C2×D413yes—
196C22×C4×C47C2×D413yes—
197C22×C4×C47C2413yes—
198C2×C22⋊D47—23no—
199C22×Dic47—23no—
200#10625354—28no—
201D4×D47—224no—
202#10625350—26no—
203#10625350C22×C4112yes—
204C2×D188—23no—
205C2×D188—26no—
206C2×D188C22×C4112yes—
207C2×D188C2413yes—
208C2×C4×D47—23no—
209C2×C4×D47—23no—
210C2×C4×D47—23no—
211C2×C4×D47—26no—
212C2×C4×D47—86no—
213C2×Dic94C2411yescharacteristic
214C4⋊C4×C47—26no—
215C4⋊C4×C47—23no—
216C4⋊C4×C47—23no—
217C4⋊C4×C47—23no—
218C4⋊C4×C47C2×D413yes—
219C4⋊C4×C47C2×D413yes—
220C4⋊C4×C47C2413yes—
221C4⋊C4×C47C2411yescharacteristic
222C22⋊C4×C47—23no—
223C22⋊C4×C47—21no—
224C22⋊C4×C47—23no—
225C22⋊C4×C47C2×D416yes—
226C42×C47—23no—
227C42×C47—23no—
228C42×C47—26no—
229C42×C47—23no—
230C42×C47C2×D413yes—
231C42×C47C2×D413yes—
232C42×C47C2411yescharacteristic
233C42×C47C2413yes—
234C22⋊Dic47—23no—
235#10625337C22×C4112yescomplemented
236#10625336C22×C4112yescomplemented
237#10625336C22×C4124yescomplemented
238#10625335C22×C414yescomplemented
239#10625334C22×C4112yescomplemented
240(C2×D47)⋊C4—23no—
241(C2×D47)⋊C4—26no—
242(C2×D47)⋊C4—23no—
243C4⋊Dic47—23no—
244C4⋊Dic47C2413yes—
245C4⋊Dic47C2411yescharacteristic
246Dic47⋊C4—23no—
247Dic47⋊C4—21no—
248C4×Dic47—21no—
249C4×Dic47—23no—
250C4×Dic47—23no—
251#10625329—26no—
252#10625329C22×C4112yescomplemented
253C2×C47⋊C8—26no—
254C2×C47⋊C8C22×C4112yescomplemented
255C2×C47⋊C8C2411yescharacteristic
256C2×C47⋊C8C2413yes—
257C2×C47⋊C8C2411yescharacteristic
258C2×C47⋊C8C2413yes—
259C23×C47—21no—
260C23×C47C22×D413yes—
261C22×D47—23no—
262C22×D47—212no—
263C22×D47—83no—
264C22×D47—83no—
265Q8×C47—212no—
266Q8×C47—23no—
267Q8×C47C4×D414yes—
268Q8×C47C23×C416yes—
269D4×C47—212no—
270D4×C47—21no—
271D4×C47C4×D4112yes—
272D4×C47C23×C412yes—
273C2×C4×C47—212no—
274C2×C4×C47—23no—
275C2×C4×C47—212no—
276C2×C4×C47—26no—
277C2×C4×C47—21no—
278C2×C4×C47—23no—
279C2×C4×C47—43no—
280C2×C4×C47—42no—
281C2×C4×C47—83no—
282C2×C4×C47—83no—
283C2×C4×C47C23×C416yes—
284C2×C4×C47C22×D413yes—
285C2×C4×C47C22×D411yescharacteristic
286C2×C4×C47C22×D413yes—
287C2×C4×C47C22×D413yes—
288C2×C4×C47C22×D411yescharacteristic
289C2×C4×C47C2×#4116yes—
290C2×C4×C47C2511yescharacteristic
291C22⋊D47—212no—
292C2×Dic47—21no—
293C2×Dic47—21no—
294C2×Dic47—23no—
295C2×Dic47—83no—
296D188—212no—
297D188—23no—
298D188C23×C416yes—
299C4×D47—212no—
300C4×D47—46no—
301C4×D47—83no—
302C4×D47—86no—
303Dic94—21no—
304Dic94C23×C412yes—
305C47⋊C8—21no—
306C47⋊C8—23no—
307C47⋊C8C23×C412yes—
308C47⋊C8C23×C416yes—
309C4×#577—471nomaximal, Sylow
310C22×C47—23no—
311C22×C47—23no—
312C22×C47—22no—
313C22×C47—41no—
314C22×C47—41no—
315C22×C47C2×C4×D416yes—
316C22×C47C23×D411yescharacteristic
317C2×D47—26no—
318C2×D47—43no—
319C2×D47—43no—
320C2×D47—812no—
321C4×C47—23no—
322C4×C47—21no—
323C4×C47—26no—
324C4×C47—23no—
325C4×C47—43no—
326C4×C47—41no—
327C4×C47C2×C4×D416yes—
328C4×C47#57712yescomplemented
329C4×C47C24×C411yescharacteristic
330C4×C47C22×#4111yescharacteristic
331Dic47—22no—
332Dic47—41no—
333Dic47—43no—
334C2×#577—471no—
335C4×2−1+4D4711yescharacteristic, complemented
336C4×H(5,𝔽2)—471no—
337#2952—473no—
338#2949—473no—
339#2947—473no—
340#2946—473no—
341C4×#137—473no—
342C4×AGL(1,ℤ/8)—473no—
343C4×#135—473no—
344C2×C4×SD16—473no—
345#2912—471no—
346#2898—471no—
347#2897—471no—
348C4×#131—471no—
349C2×C47—26no—
350C2×C47—42no—
351C2×C47C22×C4×D411yescharacteristic
352C2×C47C2×#57711yescharacteristic
353C2×C47#358411yescharacteristic
354D47—46no—
355C2×2−1+4C2×D4711yescharacteristic
356C2×H(5,𝔽2)—471no—
357#577—4716no—
358C2×#137—473no—
359C2×AGL(1,ℤ/8)—473no—
360C2×#135—473no—
361C22×SD16—473no—
362C2×#131—471no—
363C2×#131—471no—
364#520—23no—
365#520—471no—
366#520—473no—
367#520—941no—
368#520C2×D4711yescharacteristic
369#520C2×D4713yescomplemented
370#519—21no—
371#519C2×D4713yescomplemented
372#518—473no—
373#518—943no—
374C4×#41—23no—
375C4×#41—473no—
376C4×#41—941no—
377C4×#41C2×D4711yescharacteristic
378C4×#41C2×D4713yescomplemented
379C2×C4×Q8—21no—
380C2×C4×Q8C2×D4713yescomplemented
381C2×C4×D4—473no—
382C2×C4×D4—943no—
383#442—476no—
384#441—476no—
385#440—476no—
386#440—476no—
387C4×Q16—473no—
388C4×Q16—473no—
389C4×SD16—473no—
390C4×SD16—476no—
391C4×SD16—476no—
392C4×SD16—476no—
393C4×SD16—473no—
394C4×SD16—471no—
395C4×SD16—473no—
396C4×D8—473no—
397C4×D8—473no—
398#428—473no—
399#428—473no—
400#427—473no—
401C2×#106—473no—
402#419—473no—
403#418—473no—
404#417—473no—
405#417—473no—
406#416—473no—
407#416—473no—
408C2×#103—473no—
409C2×#102—473no—
410#405—473no—
411#405—473no—
412C4×M16—473no—
413C2×C4×C8—473no—
414C47C4×#57711yescharacteristic, complemented, Sylow
4152−1+4—24no—
4162−1+4C4×D4718yescomplemented
417H(5,𝔽2)—478no—
418H(5,𝔽2)—944no—
419C2×#41—23no—
420C2×#41—473no—
421C2×#41—941no—
422C2×#41C22×D4713yes—
423C2×#41C22×D4711yescharacteristic
424C22×Q8—21no—
425C22×Q8C22×D4713yes—
426C22×D4—473no—
427C22×D4—943no—
428C23×C4—943no—
429#137—4724no—
430AGL(1,ℤ/8)—4724no—
431#135—4724no—
432C2×Q16—473no—
433C2×SD16—4724no—
434C2×SD16—473no—
435C2×SD16—476no—
436C2×SD16—471no—
437C2×D8—473no—
438#131—478no—
439#131—944no—
440C2×M16—473no—
441C2×M16—473no—
442C22×C8—473no—
443C22×C8—473no—
444C4×Q8—21no—
445C4×Q8—23no—
446C4×Q8—23no—
447C4×Q8—23no—
448C4×Q8—23no—
449C4×Q8—471no—
450C4×Q8—473no—
451C4×Q8—941no—
452C4×Q8C22⋊D4711yescharacteristic
453C4×Q8C22⋊D4711yescharacteristic
454C4×Q8C22×D4713yes—
455C4×Q8C22×D4716yes—
456C4×Q8C22×D4713yes—
457C4×D4—23no—
458C4×D4—23no—
459C4×D4—23no—
460C4×D4—26no—
461C4×D4—473no—
462C4×D4—476no—
463C4×D4—473no—
464C4×D4—943no—
465C4×D4—943no—
466C4×D4—943no—
467C4×D4—943no—
468C4×D4—943no—
469C4×D4—946no—
470C4×D4—943no—
471C4×D4—943no—
472C4×D4C22⋊D4713yes—
473C4×D4C22⋊D4713yes—
474C4×D4C22×D4711yescharacteristic
475C4×D4C22×D4713yes—
476#117—23no—
477#117—26no—
478#117—23no—
479#117—473no—
480#117—943no—
481#117—943no—
482#117C22×D4713yes—
483#117C22×D4713yes—
484C2×C4⋊C4—23no—
485C2×C4⋊C4—23no—
486C2×C4⋊C4—473no—
487C2×C4⋊C4—943no—
488C2×C4⋊C4C22×D4713yes—
489C2×C22⋊C4—943no—
490C2×C22⋊C4—946no—
491C2×C42—23no—
492C2×C42—23no—
493C2×C42—943no—
494C2×C42C22×D4713yes—
495#107—473no—
496#107—473no—
497#106—473no—
498#106—476no—
499#106—471no—
500#103—473no—
501#103—476no—
502#103—473no—
503#103—471no—
504#103—473no—
505#102—471no—
506#102—473no—
507#102—473no—
508#102—476no—
509#102—473no—
510#97—476no—
511C4×C8—471no—
512C4×C8—473no—
513C4×C8—473no—
514C4×C8—473no—
515C24—943no—
516#41—224no—
517#41—26no—
518#41—4712no—
519#41—948no—
520#41—946no—
521#41C2×C4×D4714yes—
522#41C2×C4×D47112yescomplemented
523#41#1062535014yes—
524C2×Q8—28no—
525C2×Q8—23no—
526C2×Q8—26no—
527C2×Q8—471no—
528C2×Q8C2×C4×D47112yescomplemented
529C2×Q8C2×C22⋊D4711yescharacteristic
530C2×Q8C23×D4713yes—
531C2×D4—23no—
532C2×D4—4712no—
533C2×D4—473no—
534C2×D4—943no—
535C2×D4—9424no—
536C2×D4—943no—
537C2×D4—946no—
538C2×D4C2×C22⋊D4713yes—
539C2×D4C23×D4711yescharacteristic
540C22×C4—23no—
541C22×C4—23no—
542C22×C4—23no—
543C22×C4—21no—
544C22×C4—23no—
545C22×C4—943no—
546C22×C4—943no—
547C22×C4—943no—
548C22×C4—946no—
549C22×C4—943no—
550C22×C4—3766no—
551C22×C4C2×C22⋊D4713yes—
552C22×C4C2×C22⋊D4713yes—
553C22×C4C23×D4713yes—
554Q16—4712no—
555SD16—4712no—
556SD16—4724no—
557SD16—474no—
558D8—4712no—
559M16—4712no—
560M16—946no—
561C2×C8—4712no—
562C2×C8—471no—
563C2×C8—473no—
564C2×C8—471no—
565C2×C8—473no—
566C2×C8—946no—
567C4⋊C4—26no—
568C4⋊C4—23no—
569C4⋊C4—23no—
570C4⋊C4—23no—
571C4⋊C4—473no—
572C4⋊C4—471no—
573C4⋊C4—943no—
574C4⋊C4—941no—
575C4⋊C4—943no—
576C4⋊C4C2×C22⋊D4713yes—
577C4⋊C4C2×C22⋊D4713yes—
578C4⋊C4C23×D4713yes—
579C4⋊C4C23×D4711yescharacteristic
580C22⋊C4—23no—
581C22⋊C4—21no—
582C22⋊C4—23no—
583C22⋊C4—943no—
584C22⋊C4—943no—
585C22⋊C4—946no—
586C22⋊C4—943no—
587C22⋊C4C2×C22⋊D4716yes—
588C42—23no—
589C42—26no—
590C42—23no—
591C42—23no—
592C42—943no—
593C42—943no—
594C42—941no—
595C42C2×C22⋊D4713yes—
596C42C2×C22⋊D4713yes—
597C42C23×D4713yes—
598C42C23×D4711yescharacteristic
599C23—21no—
600C23—9412no—
601C23—943no—
602C23—3763no—
603C23—3763no—
604C23C22×C22⋊D4713yes—
605Q8—212no—
606Q8—23no—
607Q8—472no—
608Q8—941no—
609Q8C4×C22⋊D4714yes—
610Q8C22×C4×D4716yes—
611D4—212no—
612D4—21no—
613D4—476no—
614D4—9412no—
615D4—9412no—
616D4—943no—
617D4C4×C22⋊D47112yes—
618D4C22×C4×D4712yes—
619C2×C4—212no—
620C2×C4—23no—
621C2×C4—212no—
622C2×C4—26no—
623C2×C4—21no—
624C2×C4—23no—
625C2×C4—43no—
626C2×C4—42no—
627C2×C4—83no—
628C2×C4—83no—
629C2×C4—941no—
630C2×C4—9412no—
631C2×C4—941no—
632C2×C4—943no—
633C2×C4—3763no—
634C2×C4—3766no—
635C2×C4—3763no—
636C2×C4—1886no—
637C2×C4C22×C4×D4716yes—
638C2×C4C22×C22⋊D4713yes—
639C2×C4C22×C22⋊D4713yes—
640C2×C4C22×C22⋊D4711yescharacteristic
641C2×C4C22×C22⋊D4713yes—
642C2×C4C22×C22⋊D4711yescharacteristic
643C2×C4C2×#1062535016yes—
644C2×C4C24×D4711yescharacteristic
645C8—472no—
646C8—476no—
647C8—941no—
648C8—943no—
649C22—23no—
650C22—23no—
651C22—22no—
652C22—41no—
653C22—41no—
654C22—946no—
655C22—37612no—
656C22—1883no—
657C22—1883no—
658C22C2×C4×C22⋊D4716yes—
659C22C23×C22⋊D4711yescharacteristic
660C4—26no—
661C4—23no—
662C4—21no—
663C4—23no—
664C4—41no—
665C4—43no—
666C4—942no—
667C4—1883no—
668C4—1881no—
669C4C2×C4×C22⋊D4716yes—
670C4#1568993112yesdirect product factor
671C4C23×C4×D4711yescharacteristic
672C4C22×#1062535011yescharacteristic
673C2—26no—
674C2—42no—
675C2—1886no—
676C2C22×C4×C22⋊D4711yescharacteristic
677C2C2×#1568993111yescharacteristic
678C2#2025815911yescharacteristic
subgroupG/H
centerC2×C4C22×C22⋊D47
commutatorC4×C47C24×C4
FrattiniC2×C4C24×D47
FittingC4×2−1+4×C47C2
socleC22×C47C23×D4
prime radicalC2×#15689931C2
cosocleC2×C4×C47C25
hypercenterC4×2−1+4D47
hypocenterC47C4×#577
LCSG ▷ C4×C47 ▷ C2×C47 ▷ C47
UCSC1 ◁ C2×C4 ◁ C4×#41 ◁ C4×2−1+4

Complements

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

NH ≅ G/Ntype
2. C4×#13094070C2semidirect
3. #20252269C2semidirect
4. #20252247C2semidirect
5. #20252231C2semidirect
6. #20252216C2semidirect
7. C4×#13094055C2semidirect
8. C4×#13094049C2semidirect
9. C4×#13094044C2semidirect
10. C2×C4×#10625336C2semidirect
11. #20251981C2semidirect
12. #20251921C2semidirect
13. #20251911C2semidirect
14. C4×#13094031C2semidirect
15. C4×2−1+4×C47C2semidirect
17. #15689931C4direct (N × H)
33. #15689233C22semidirect
34. #15689228C22semidirect
35. #15689221C22semidirect
36. #15689221C22semidirect
37. C4×#10625337C22semidirect
38. C4×#10625337C22semidirect
39. C4×#10625336C22semidirect
40. C4×#10625336C22semidirect
41. C4×#10625336C22semidirect
42. C4×#10625336C22semidirect
43. C4×#10625336C22semidirect
44. C4×#10625335C22semidirect
45. C4×#10625335C22semidirect
46. C4×#10625334C22semidirect
47. C4×#10625334C22semidirect
48. #15689166C22semidirect
49. #15689163C22semidirect
50. #15689159C22semidirect
51. C2×#13093955C22semidirect
52. #15689132C22semidirect
54. #15689124C22semidirect
56. #15689119C22semidirect
58. C2×#13093948C22semidirect
60. #15689079C22semidirect
61. #15689079C22semidirect
62. C4×#10625329C22semidirect
63. C2×C4×C47⋊C8C22semidirect
67. C47×#520C22semidirect
69. C47×#519C22semidirect
72. C4×#41×C47C22semidirect
74. C2×C4×Q8×C47C22semidirect
76. #13094070C2×C4semidirect
82. #13094055C2×C4semidirect
83. #13094049C2×C4semidirect
84. #13094044C2×C4semidirect
87. C2×#10625336C2×C4semidirect
92. #13094031C2×C4semidirect
140. 2−1+4×C47C2×C4semidirect
179. #41×C47C22×C4semidirect
184. C2×Q8×C47C22×C4semidirect
235. #10625337C22×C4semidirect
236. #10625336C22×C4semidirect
237. #10625336C22×C4semidirect
238. #10625335C22×C4semidirect
239. #10625334C22×C4semidirect
252. #10625329C22×C4semidirect
254. C2×C47⋊C8C22×C4semidirect
328. C4×C47#577semidirect
335. C4×2−1+4D47semidirect
369. #520C2×D47semidirect
371. #519C2×D47semidirect
378. C4×#41C2×D47semidirect
380. C2×C4×Q8C2×D47semidirect
414. C47C4×#577semidirect
416. 2−1+4C4×D47semidirect
522. #41C2×C4×D47semidirect
528. C2×Q8C2×C4×D47semidirect
670. C4#15689931direct (N × H)

Maximal subgroups

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

subgroupindex
C2×#156899312
C4×#130940702
#202522692
#202522472
#202522312
#202522162
C4×#130940552
C4×#130940492
C4×#130940442
C2×C4×#106253362
#202519812
#202519212
#202519112
C4×#130940312
C4×2−1+4×C472
C4×#57747