Finite Group Databasebeta

← #26143041

Subgroups — #26143041

Order 12032.

2242 conjugacy classes of subgroups.

The subgroup lattice has 730 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×D4×Dic47C211yesmaximal, characteristic
2C2×#15689009C211yesmaximal, characteristic, complemented
3C2×#15688998C212yesmaximal, complemented
4#20241653C211yesmaximal, characteristic, complemented
5#20241641C211yesmaximal, characteristic, complemented
6#20241637C212yesmaximal, complemented
7#20241633C212yesmaximal, complemented
8#20241629C211yesmaximal, characteristic
9#20241613C211yesmaximal, characteristic, complemented
10#20241610C212yesmaximal, complemented
11C2×C47×#394C211yesmaximal, characteristic
12C24×Dic47C2212yes—
13C2×D4×Dic47—28no—
14C2×D4×Dic47—24no—
15C22×C4⋊Dic47C2211yescharacteristic
16C22×C4⋊Dic47C2211yescharacteristic
17C22×C4⋊Dic47C2212yes—
18C22×C22⋊Dic47C2212yes—
19C22×C22⋊Dic47C2212yes—
20C22×C22⋊Dic47C2212yes—
21C22×C4×Dic47C2211yescharacteristic
22#15689009—24no—
23#15688998—28no—
24C2×C47⋊#95C2212yes—
25C2×C47⋊#95C2212yes—
26C2×C47⋊#95C2211yescharacteristic
27C2×C47⋊#95C2211yescharacteristic
28C2×C47⋊#95C2211yescharacteristic
29C2×C47⋊#95C2211yescharacteristic
30C2×C47⋊#95C2211yescharacteristic
31C2×C47⋊#95C2212yes—
32C2×C47⋊#95C2212yes—
33C2×C47⋊#95C2212yes—
34C23×D4×C47C2211yescharacteristic
35C22×C4⋊C4×C47C2211yescharacteristic
36C22×C22⋊C4×C47C2212yes—
37C22×C22⋊C4×C47C2212yes—
38C47×#394C418yescomplemented
39C2×#95×C47C2211yescharacteristic
40C23×Dic47—24no—
41C23×Dic47—24no—
42C23×Dic47—42no—
43C23×Dic47—42no—
44C23×Dic47—42no—
45C23×Dic47—42no—
46C23×Dic47D418yes—
47C23×Dic47C2311yescharacteristic
48C23×Dic47C2312yes—
49C23×Dic47C2311yescharacteristic
50C23×Dic47C2311yescharacteristic
51C23×Dic47C2312yes—
52C23×Dic47C2311yescharacteristic
53D4×Dic47—232no—
54C2×C4⋊Dic47—22no—
55C2×C4⋊Dic47—24no—
56C2×C4⋊Dic47—24no—
57C2×C4⋊Dic47—24no—
58C2×C4⋊Dic47—22no—
59C2×C4⋊Dic47—42no—
60C2×C4⋊Dic47—42no—
61C2×C22⋊Dic47—24no—
62C2×C22⋊Dic47—24no—
63C2×C22⋊Dic47—24no—
64C2×C22⋊Dic47—24no—
65C2×C22⋊Dic47—24no—
66C2×C22⋊Dic47—42no—
67C2×C22⋊Dic47—42no—
68C2×C22⋊Dic47—42no—
69C2×C22⋊Dic47—42no—
70C2×C4×Dic47—24no—
71C2×C4×Dic47D414yes—
72C47⋊#95—22no—
73C47⋊#95—22no—
74C47⋊#95—24no—
75C47⋊#95—24no—
76C47⋊#95—22no—
77C47⋊#95—22no—
78C47⋊#95—22no—
79C47⋊#95—42no—
80C47⋊#95—42no—
81C47⋊#95—42no—
82C25×C47C2312yes—
83C22×D4×C47—24no—
84C22×D4×C47—24no—
85C22×D4×C47—22no—
86C22×D4×C47—22no—
87C22×D4×C47C2×C414yes—
88C23×C4×C47C2311yescharacteristic
89C23×C4×C47C2311yescharacteristic
90C23×C4×C47C2312yes—
91C23×C4×C47C2311yescharacteristic
92C2×C4⋊C4×C47—22no—
93C2×C4⋊C4×C47—22no—
94C2×C4⋊C4×C47C2×C414yescomplemented
95C2×C22⋊C4×C47—24no—
96C2×C22⋊C4×C47—24no—
97C2×C22⋊C4×C47—42no—
98C2×C22⋊C4×C47—42no—
99C2×C22⋊C4×C47C2×C418yescomplemented
100C2×C22⋊C4×C47C2×C418yescomplemented
101#95×C47C2×C414yescomplemented
102C24×C47—22no—
103C24×C47—22no—
104C24×C47—22no—
105C24×C47—22no—
106C24×C47—22no—
107C24×C47—22no—
108C24×C47—22no—
109C24×C47—22no—
110C24×C47—22no—
111C24×C47—22no—
112C24×C47—22no—
113C24×C47—22no—
114C24×C47C22×C414yes—
115C24×C47C2×D414yes—
116C24×C47#4114yes—
117C24×C47C2411yescharacteristic
118C2×D4×C47—28no—
119C2×D4×C47—216no—
120C2×D4×C47—28no—
121C2×D4×C47—216no—
122C2×D4×C47—28no—
123C22×C4×C47—22no—
124C22×C4×C47—22no—
125C22×C4×C47—22no—
126C22×C4×C47—22no—
127C22×C4×C47—21no—
128C22×C4×C47—21no—
129C22×C4×C47—22no—
130C22×C4×C47—22no—
131C22×C4×C47—21no—
132C22×C4×C47—21no—
133C22×C4×C47—21no—
134C22×C4×C47—21no—
135C22×C4×C47—22no—
136C22×C4×C47—22no—
137C22×C4×C47—21no—
138C22×C4×C47—22no—
139C22×C4×C47—22no—
140C22×C4×C47—21no—
141C22×C4×C47C22×C412yes—
142C22×C4×C47C22×C412yes—
143C22×C4×C47C22×C414yes—
144C22×C4×C47C22×C412yes—
145C22×C4×C47C2×D412yes—
146C22×C4×C47#4112yes—
147C22×Dic47—21no—
148C22×Dic47—22no—
149C22×Dic47—21no—
150C22×Dic47—22no—
151C22×Dic47—22no—
152C22×Dic47—22no—
153C22×Dic47—21no—
154C22×Dic47—22no—
155C22×Dic47—22no—
156C22×Dic47—22no—
157C22×Dic47—22no—
158C22×Dic47—22no—
159C22×Dic47—21no—
160C22×Dic47—216no—
161C22×Dic47—21no—
162C22×Dic47—22no—
163C22×Dic47—21no—
164C22×Dic47—22no—
165C22×Dic47—22no—
166C22×Dic47—22no—
167C22×Dic47—22no—
168C22×Dic47—22no—
169C22×Dic47—22no—
170C22×Dic47—22no—
171C22×Dic47—21no—
172C22×Dic47—22no—
173C22×Dic47—21no—
174C22×Dic47—22no—
175C22×Dic47—21no—
176C22×Dic47—21no—
177C22×Dic47—22no—
178C22×Dic47—48no—
179C22×Dic47—48no—
180C22×Dic47—48no—
181C22×Dic47—48no—
182C22×Dic47—48no—
183C22×Dic47—48no—
184C22×Dic47C2×D412yes—
185C22×Dic47C2×D414yes—
186C22×Dic47C2×D414yes—
187C22×Dic47C2×D412yes—
188C4⋊C4×C47—28no—
189C22⋊C4×C47—216no—
190C22⋊C4×C47—48no—
191C22⋊Dic47—216no—
192C22⋊Dic47—48no—
193C22⋊Dic47—48no—
194C4⋊Dic47—28no—
195C4⋊Dic47—48no—
196C4⋊Dic47—44no—
197C4×Dic47—28no—
198C23×C47—24no—
199C23×C47—24no—
200C23×C47—24no—
201C23×C47—24no—
202C23×C47—24no—
203C23×C47—24no—
204C23×C47—24no—
205C23×C47—24no—
206C23×C47—24no—
207C23×C47—24no—
208C23×C47—24no—
209C23×C47—24no—
210C23×C47—24no—
211C23×C47—24no—
212C23×C47—24no—
213C23×C47—24no—
214C23×C47—24no—
215C23×C47—24no—
216C23×C47—42no—
217C23×C47—42no—
218C23×C47—42no—
219C23×C47—42no—
220C23×C47—42no—
221C23×C47—42no—
222C23×C47—42no—
223C23×C47—42no—
224C23×C47—42no—
225C23×C47—42no—
226C23×C47—42no—
227C23×C47—42no—
228C23×C47—42no—
229C23×C47—42no—
230C23×C47—42no—
231C23×C47—42no—
232C23×C47C4×D418yes—
233C23×C47C23×C411yescharacteristic
234C23×C47C22×D412yes—
235C23×C47C22×D411yescharacteristic
236C23×C47C2×#4112yes—
237C23×C47C2×#4111yescharacteristic
238C23×C47H(5,𝔽2)11yescharacteristic
239C23×C47H(5,𝔽2)11yescharacteristic
240C23×C47H(5,𝔽2)12yes—
241C23×C47H(5,𝔽2)11yescharacteristic
242C23×C472−1+411yescharacteristic
243C23×C472−1+412yes—
244D4×C47—232no—
245C2×C4×C47—24no—
246C2×C4×C47—22no—
247C2×C4×C47—22no—
248C2×C4×C47—24no—
249C2×C4×C47—24no—
250C2×C4×C47—24no—
251C2×C4×C47—22no—
252C2×C4×C47—22no—
253C2×C4×C47—22no—
254C2×C4×C47—24no—
255C2×C4×C47—22no—
256C2×C4×C47—24no—
257C2×C4×C47—41no—
258C2×C4×C47—42no—
259C2×C4×C47—41no—
260C2×C4×C47—42no—
261C2×C4×C47—41no—
262C2×C4×C47—42no—
263C2×C4×C47—41no—
264C2×C4×C47—42no—
265C2×C4×C47—42no—
266C2×C4×C47—41no—
267C2×C4×C47—41no—
268C2×C4×C47C4×D414yes—
269C2×Dic47—24no—
270C2×Dic47—24no—
271C2×Dic47—22no—
272C2×Dic47—22no—
273C2×Dic47—22no—
274C2×Dic47—24no—
275C2×Dic47—24no—
276C2×Dic47—24no—
277C2×Dic47—22no—
278C2×Dic47—22no—
279C2×Dic47—432no—
280C2×Dic47—42no—
281C2×Dic47—42no—
282C2×Dic47—42no—
283C2×Dic47—42no—
284C2×Dic47—42no—
285C2×Dic47—42no—
286C2×Dic47—41no—
287C2×Dic47—42no—
288C2×Dic47—41no—
289C2×Dic47—42no—
290C2×Dic47—42no—
291C2×Dic47—42no—
292C2×Dic47—41no—
293C2×Dic47—41no—
294C2×Dic47—41no—
295C2×Dic47—42no—
296C2×Dic47—41no—
297C2×Dic47—42no—
298C2×Dic47—42no—
299C2×Dic47—42no—
300C2×Dic47—42no—
301C2×Dic47—42no—
302C2×Dic47—42no—
303C2×Dic47#12014yes—
304#14300—471nomaximal, Sylow
305C22×C47—28no—
306C22×C47—28no—
307C22×C47—28no—
308C22×C47—44no—
309C22×C47—44no—
310C22×C47—44no—
311C22×C47—44no—
312C22×C47—44no—
313C22×C47—44no—
314C22×C47—44no—
315C22×C47—44no—
316C22×C47—44no—
317C22×C47—44no—
318C22×C47—44no—
319C22×C47—44no—
320C22×C47C2×C4×D412yes—
321C22×C47C2×C4×D411yescharacteristic
322C22×C47#51811yescharacteristic
323C22×C47#52011yescharacteristic
324C22×C47#52012yes—
325C22×C47C2×#12011yescharacteristic
326C22×C47#52512yes—
327C22×C47#52511yescharacteristic
328C22×C47#53412yes—
329C22×C47#53412yes—
330C22×C47#53511yescharacteristic
331C22×C47#53511yescharacteristic
332C22×C47#53611yescharacteristic
333C22×C47#53612yes—
334C22×C47#53712yes—
335C22×C47#53711yescharacteristic
336C22×C47#53812yes—
337C22×C47#53912yes—
338C22×C47#53912yes—
339C22×C47#53912yes—
340C22×C47#54011yescharacteristic
341C22×C47#54211yescharacteristic
342C22×C47#54212yes—
343C4×C47—24no—
344C4×C47—42no—
345C4×C47—44no—
346C4×C47—42no—
347Dic47—24no—
348Dic47—44no—
349Dic47—42no—
350Dic47—81no—
351Dic47—82no—
352Dic47—81no—
353C22×C4×D4—471no—
354C2×#394D4711yescharacteristic
355C2×#387—471no—
356C2×#385—472no—
357#1444—471no—
358#1441—471no—
359#1440—472no—
360#1439—472no—
361#1438—471no—
362#1434—471no—
363C22⋊#95—472no—
364C2×C47—48no—
365C2×C47C4×#12011yescharacteristic
366C2×C47#232212yes—
367C2×C47#232411yescharacteristic
368C2×C47#232512yes—
369C2×C47#232611yescharacteristic
370C2×C47#261311yescharacteristic
371C2×C47#261611yescharacteristic
372C2×C47#263012yes—
373C2×C47#263311yescharacteristic
374C2×C47#263611yescharacteristic
375C2×C47#263812yes—
376C23×D4C2×D4711yescharacteristic
377C24×C4—472no—
378C2×C4×D4—944no—
379C2×C4×D4—948no—
380C22×C4⋊C4—471no—
381C22×C4⋊C4—471no—
382C22×C4⋊C4—472no—
383C22×C4⋊C4C2×D4711yescharacteristic
384C22×C22⋊C4—472no—
385C22×C22⋊C4—472no—
386C22×C22⋊C4—472no—
387C22×C22⋊C4C2×D4712yes—
388C22×C22⋊C4C2×D4712yes—
389C22×C42—471no—
390#394Dic4718yescomplemented
391#387—944no—
392#385—948no—
393C2×#95—471no—
394C2×#95—472no—
395C2×#95—471no—
396C2×#95—471no—
397C2×#95—471no—
398C2×#95—471no—
399C2×#95—472no—
400C2×#95—472no—
401C2×#95—472no—
402C2×#95—472no—
403C2×#95C2×D4711yescharacteristic
404C47#1430011yescharacteristic, complemented, Sylow
405C25C22×D4712yes—
406C22×D4—24no—
407C22×D4—24no—
408C22×D4—22no—
409C22×D4—22no—
410C22×D4C2×Dic4714yes—
411C23×C4—471no—
412C23×C4—471no—
413C23×C4—472no—
414C23×C4—478no—
415C23×C4—471no—
416C23×C4—471no—
417C23×C4—472no—
418C23×C4—944no—
419C23×C4—944no—
420C23×C4—1882no—
421C23×C4—1882no—
422C23×C4—1882no—
423C23×C4—1882no—
424C23×C4C22×D4711yescharacteristic
425C23×C4C22×D4712yes—
426C23×C4C22×D4711yescharacteristic
427C23×C4C22×D4711yescharacteristic
428C4×D4—9432no—
429C2×C4⋊C4—22no—
430C2×C4⋊C4—22no—
431C2×C4⋊C4—944no—
432C2×C4⋊C4—942no—
433C2×C4⋊C4—944no—
434C2×C4⋊C4—944no—
435C2×C4⋊C4—942no—
436C2×C4⋊C4—1882no—
437C2×C4⋊C4—1882no—
438C2×C4⋊C4C2×Dic4714yescomplemented
439C2×C22⋊C4—24no—
440C2×C22⋊C4—24no—
441C2×C22⋊C4—42no—
442C2×C22⋊C4—42no—
443C2×C22⋊C4—944no—
444C2×C22⋊C4—944no—
445C2×C22⋊C4—944no—
446C2×C22⋊C4—944no—
447C2×C22⋊C4—944no—
448C2×C22⋊C4—1882no—
449C2×C22⋊C4—1882no—
450C2×C22⋊C4—1882no—
451C2×C22⋊C4—1882no—
452C2×C22⋊C4C2×Dic4718yescomplemented
453C2×C22⋊C4C2×Dic4718yescomplemented
454C2×C42—474no—
455C2×C42—944no—
456#95—944no—
457#95—944no—
458#95—942no—
459#95—942no—
460#95—942no—
461#95—942no—
462#95—942no—
463#95—1882no—
464#95—1882no—
465#95—1882no—
466#95C2×Dic4714yescomplemented
467C24—22no—
468C24—22no—
469C24—22no—
470C24—22no—
471C24—22no—
472C24—22no—
473C24—22no—
474C24—22no—
475C24—22no—
476C24—22no—
477C24—22no—
478C24—22no—
479C24D4×D4714yes—
480C24#1062535214yes—
481C24C22×Dic4714yes—
482C24C23×D4711yescharacteristic
483C2×D4—28no—
484C2×D4—28no—
485C2×D4—216no—
486C2×D4—216no—
487C2×D4—28no—
488C22×C4—22no—
489C22×C4—22no—
490C22×C4—21no—
491C22×C4—22no—
492C22×C4—22no—
493C22×C4—21no—
494C22×C4—22no—
495C22×C4—22no—
496C22×C4—21no—
497C22×C4—21no—
498C22×C4—22no—
499C22×C4—21no—
500C22×C4—21no—
501C22×C4—22no—
502C22×C4—21no—
503C22×C4—22no—
504C22×C4—21no—
505C22×C4—22no—
506C22×C4—472no—
507C22×C4—474no—
508C22×C4—472no—
509C22×C4—474no—
510C22×C4—9416no—
511C22×C4—941no—
512C22×C4—942no—
513C22×C4—941no—
514C22×C4—942no—
515C22×C4—942no—
516C22×C4—942no—
517C22×C4—941no—
518C22×C4—942no—
519C22×C4—942no—
520C22×C4—942no—
521C22×C4—942no—
522C22×C4—942no—
523C22×C4—941no—
524C22×C4—941no—
525C22×C4—942no—
526C22×C4—941no—
527C22×C4—942no—
528C22×C4—942no—
529C22×C4—942no—
530C22×C4—942no—
531C22×C4—942no—
532C22×C4—941no—
533C22×C4—941no—
534C22×C4—942no—
535C22×C4—942no—
536C22×C4—942no—
537C22×C4—941no—
538C22×C4—942no—
539C22×C4—942no—
540C22×C4—941no—
541C22×C4—1888no—
542C22×C4—1888no—
543C22×C4—1888no—
544C22×C4—1888no—
545C22×C4—1888no—
546C22×C4—1888no—
547C22×C4D4×D4712yes—
548C22×C4#1062535212yes—
549C22×C4C22×Dic4714yes—
550C22×C4C22×Dic4712yes—
551C22×C4C22×Dic4712yes—
552C22×C4C22×Dic4712yes—
553C4⋊C4—28no—
554C4⋊C4—948no—
555C4⋊C4—1884no—
556C4⋊C4—1888no—
557C22⋊C4—216no—
558C22⋊C4—48no—
559C22⋊C4—9416no—
560C22⋊C4—1888no—
561C22⋊C4—1888no—
562C42—948no—
563C23—24no—
564C23—24no—
565C23—24no—
566C23—24no—
567C23—24no—
568C23—24no—
569C23—24no—
570C23—24no—
571C23—24no—
572C23—24no—
573C23—24no—
574C23—24no—
575C23—24no—
576C23—24no—
577C23—24no—
578C23—24no—
579C23—24no—
580C23—24no—
581C23—42no—
582C23—42no—
583C23—42no—
584C23—42no—
585C23—42no—
586C23—42no—
587C23—42no—
588C23—42no—
589C23—42no—
590C23—42no—
591C23—42no—
592C23—42no—
593C23—42no—
594C23—42no—
595C23—42no—
596C23—42no—
597C23D4×Dic4718yes—
598C23C23×Dic4711yescharacteristic
599C23C2×D4×D4712yes—
600C23C2×D4×D4711yescharacteristic
601C23C2×#1062535211yescharacteristic
602C23C2×#1062535212yes—
603C23#1309406911yescharacteristic
604C23#1309406911yescharacteristic
605C23#1309407012yes—
606C23#1309407011yescharacteristic
607C23#1309407111yescharacteristic
608C23#1309407112yes—
609D4—232no—
610C2×C4—24no—
611C2×C4—22no—
612C2×C4—22no—
613C2×C4—24no—
614C2×C4—24no—
615C2×C4—24no—
616C2×C4—22no—
617C2×C4—22no—
618C2×C4—22no—
619C2×C4—24no—
620C2×C4—22no—
621C2×C4—24no—
622C2×C4—41no—
623C2×C4—41no—
624C2×C4—42no—
625C2×C4—41no—
626C2×C4—42no—
627C2×C4—41no—
628C2×C4—42no—
629C2×C4—41no—
630C2×C4—42no—
631C2×C4—42no—
632C2×C4—41no—
633C2×C4—474no—
634C2×C4—944no—
635C2×C4—944no—
636C2×C4—942no—
637C2×C4—942no—
638C2×C4—942no—
639C2×C4—944no—
640C2×C4—944no—
641C2×C4—944no—
642C2×C4—942no—
643C2×C4—942no—
644C2×C4—18832no—
645C2×C4—1882no—
646C2×C4—1881no—
647C2×C4—1882no—
648C2×C4—1881no—
649C2×C4—1882no—
650C2×C4—1882no—
651C2×C4—1882no—
652C2×C4—1881no—
653C2×C4—1881no—
654C2×C4—1881no—
655C2×C4—1882no—
656C2×C4—1881no—
657C2×C4—1882no—
658C2×C4—1882no—
659C2×C4—1882no—
660C2×C4—1882no—
661C2×C4—1882no—
662C2×C4—1882no—
663C2×C4—1882no—
664C2×C4—1882no—
665C2×C4—1882no—
666C2×C4—1882no—
667C2×C4—1882no—
668C2×C4D4×Dic4714yes—
669C22—28no—
670C22—28no—
671C22—28no—
672C22—44no—
673C22—44no—
674C22—44no—
675C22—44no—
676C22—44no—
677C22—44no—
678C22—44no—
679C22—44no—
680C22—44no—
681C22—44no—
682C22—44no—
683C22—44no—
684C22C2×D4×Dic4712yes—
685C22C2×D4×Dic4711yescharacteristic
686C22#1568959811yescharacteristic
687C22#1568960611yescharacteristic
688C22#1568960612yes—
689C22#120×D4711yescharacteristic
690C22#1568962912yes—
691C22#1568962911yescharacteristic
692C22#1568968112yes—
693C22#1568968412yes—
694C22#1568968911yescharacteristic
695C22#1568969111yescharacteristic
696C22#1568969311yescharacteristic
697C22#1568969512yes—
698C22#1568970012yes—
699C22#1568970211yescharacteristic
700C22#1568971012yes—
701C22#1568971712yes—
702C22#1568971712yes—
703C22#1568971812yes—
704C22#1568972611yescharacteristic
705C22#1568974011yescharacteristic
706C22#1568974212yes—
707C4—24no—
708C4—42no—
709C4—44no—
710C4—42no—
711C4—944no—
712C4—3761no—
713C4—3762no—
714C4—3761no—
715C4—1884no—
716C4—1882no—
717C2—48no—
718C2#120×Dic4711yescharacteristic
719C2#2024606012yes—
720C2#2024608311yescharacteristic
721C2#2024609312yes—
722C2#2024610111yescharacteristic
723C2#2024910111yescharacteristic
724C2#2024911611yescharacteristic
725C2#2024922612yes—
726C2#2024925511yescharacteristic
727C2#2024928411yescharacteristic
728C2#2024930412yes—
subgroupG/H
center, FrattiniC24C23×D47
commutatorC23×C47C23×C4
FittingC2×C47×#394C2
socle, cosocleC24×C47C24
prime radicalC23×D4×C47C22
hypercenterC2×#394D47
hypocenterC47#14300
LCSG ▷ C23×C47 ▷ C47
UCSC1 ◁ C24 ◁ C2×#394

Complements

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

NH ≅ G/Ntype
2. C2×#15689009C2semidirect
3. C2×#15688998C2semidirect
4. #20241653C2semidirect
5. #20241641C2semidirect
6. #20241637C2semidirect
7. #20241633C2semidirect
9. #20241613C2semidirect
10. #20241610C2semidirect
38. C47×#394C4semidirect
94. C2×C4⋊C4×C47C2×C4semidirect
99. C2×C22⋊C4×C47C2×C4semidirect
100. C2×C22⋊C4×C47C2×C4semidirect
101. #95×C47C2×C4semidirect
390. #394Dic47semidirect
404. C47#14300semidirect
438. C2×C4⋊C4C2×Dic47semidirect
452. C2×C22⋊C4C2×Dic47semidirect
453. C2×C22⋊C4C2×Dic47semidirect
466. #95C2×Dic47semidirect

Maximal subgroups

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

subgroupindex
C22×D4×Dic472
C2×#156890092
C2×#156889982
#202416532
#202416412
#202416372
#202416332
#202416292
#202416132
#202416102
C2×C47×#3942
#1430047