Finite Group Databasebeta

← #26142872

Subgroups — #26142872

Order 12032.

2086 conjugacy classes of subgroups.

The subgroup lattice has 716 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×#13094002C211yesmaximal, characteristic
2C2×#15688980C211yesmaximal, characteristic
3C2×#95×D47C211yesmaximal, characteristic
4#20241658C212yesmaximal, complemented
5#20241654C212yesmaximal, complemented
6#20241642C211yesmaximal, characteristic, complemented
7#20241641C211yesmaximal, characteristic, complemented
8#20241638C211yesmaximal, characteristic, complemented
9(C2×D47)⋊#95C212yesmaximal
10(C2×D47)⋊#95C212yesmaximal
11C47×#1441C211yesmaximal, characteristic, complemented
12C23×Dic94C2211yescharacteristic
13C23×C4×D47C2212yes—
14C23×C4×D47C2211yescharacteristic
15C2×#13094002—24no—
16C2×#13094002—24no—
17C2×#13094002C418yescomplemented
18C22×C4⋊Dic47C2211yescharacteristic
19C22×Dic47⋊C4C2211yescharacteristic
20C22×Dic47⋊C4C2211yescharacteristic
21C22×(C2×D47)⋊C4C2212yes—
22C22×(C2×D47)⋊C4C2211yescharacteristic
23C22×(C2×D47)⋊C4C2211yescharacteristic
24#15688980—24no—
25C2×C47⋊#95C2211yescharacteristic
26C2×C47⋊#95C2212yes—
27C2×C47⋊#95C2212yes—
28C2×C47⋊#95C2212yes—
29C2×C47⋊#95C2212yes—
30C2×C47⋊#95C2212yes—
31C2×C47⋊#95C2212yes—
32C2×C47⋊#95C2212yes—
33C2×C47⋊#95C2212yes—
34#95×D47—24no—
35C22×C4⋊C4×C47C2211yescharacteristic
36C22×C4⋊C4×C47C2211yescharacteristic
37C2×#95×C47C2211yescharacteristic
38C2×#95×C47C2212yes—
39C2×#95×C47C2212yes—
40C24×D47C2311yescharacteristic
41C22×Dic94—22no—
42C22×Dic94—22no—
43C22×Dic94—42no—
44C22×Dic94—42no—
45C22×Dic94C2×C414yescomplemented
46C23×Dic47C2312yes—
47C23×Dic47C2311yescharacteristic
48C23×Dic47C2311yescharacteristic
49C23×Dic47C2312yes—
50C23×Dic47C2311yescharacteristic
51C22×C4×D47—24no—
52C22×C4×D47—24no—
53C22×C4×D47—42no—
54C22×C4×D47—42no—
55C22×C4×D47—42no—
56C22×C4×D47—42no—
57C22×C4×D47—42no—
58C22×C4×D47—42no—
59C22×C4×D47C2×C414yes—
60C22×C4×D47D414yes—
61C22×C4×D47D414yes—
62C22×C4×D47Q818yescomplemented
63#13094002—232no—
64C2×C4⋊Dic47—22no—
65C2×C4⋊Dic47—42no—
66C2×Dic47⋊C4—22no—
67C2×Dic47⋊C4—22no—
68C2×Dic47⋊C4—22no—
69C2×Dic47⋊C4—22no—
70C2×Dic47⋊C4C2×C414yescomplemented
71C2×Dic47⋊C4C2×C414yescomplemented
72C2×(C2×D47)⋊C4—22no—
73C2×(C2×D47)⋊C4—22no—
74C2×(C2×D47)⋊C4—22no—
75C2×(C2×D47)⋊C4—22no—
76C2×(C2×D47)⋊C4—24no—
77C2×(C2×D47)⋊C4—24no—
78C2×(C2×D47)⋊C4—24no—
79C2×(C2×D47)⋊C4C2×C414yes—
80C2×(C2×D47)⋊C4C2×C414yes—
81C47⋊#95—22no—
82C47⋊#95—24no—
83C47⋊#95—24no—
84C47⋊#95—42no—
85C47⋊#95—42no—
86C47⋊#95—42no—
87C47⋊#95—42no—
88C47⋊#95—42no—
89C47⋊#95—42no—
90C23×C4×C47C2312yes—
91C23×C4×C47C2311yescharacteristic
92C23×C4×C47C2311yescharacteristic
93C23×C4×C47C2312yes—
94C23×C4×C47C2311yescharacteristic
95C2×C4⋊C4×C47—22no—
96C2×C4⋊C4×C47—22no—
97C2×C4⋊C4×C47—22no—
98C2×C4⋊C4×C47—42no—
99C2×C4⋊C4×C47C2×C414yescomplemented
100#95×C47—22no—
101#95×C47—42no—
102#95×C47—42no—
103C24×C47C2411yescharacteristic
104C23×D47—22no—
105C23×D47—22no—
106C23×D47—21no—
107C23×D47—21no—
108C23×D47—21no—
109C23×D47—21no—
110C23×D47C22×C412yes—
111C23×D47C2×D412yes—
112C23×D47C2×D412yes—
113C23×D47C2×Q814yes—
114C23×D47#4114yes—
115C22×C4×C47—22no—
116C22×C4×C47—22no—
117C22×C4×C47—21no—
118C22×C4×C47—21no—
119C22×C4×C47—21no—
120C22×C4×C47—21no—
121C22×C4×C47—22no—
122C22×C4×C47—22no—
123C22×C4×C47—21no—
124C22×C4×C47—22no—
125C22×C4×C47—22no—
126C22×C4×C47—22no—
127C22×C4×C47—22no—
128C22×C4×C47—22no—
129C22×C4×C47—22no—
130C22×C4×C47—21no—
131C22×C4×C47—21no—
132C22×C4×C47—21no—
133C22×C4×C47—22no—
134C22×C4×C47—22no—
135C22×C4×C47—22no—
136C22×C4×C47—22no—
137C22×C4×C47—22no—
138C22×C4×C47—22no—
139C22×C4×C47—22no—
140C22×C4×C47C22×C412yes—
141C22×C4×C47C22×C412yes—
142C22×C4×C47C22×C412yes—
143C22×C4×C47C2×D412yes—
144C22×C4×C47C2×D412yes—
145C22×C4×C47C2×Q814yes—
146C22×Dic47—22no—
147C22×Dic47—22no—
148C22×Dic47—22no—
149C22×Dic47—21no—
150C22×Dic47—21no—
151C22×Dic47—21no—
152C22×Dic47—21no—
153C22×Dic47—22no—
154C22×Dic47—21no—
155C22×Dic47—21no—
156C22×Dic47—22no—
157C22×Dic47—22no—
158C22×Dic47—22no—
159C22×Dic47—22no—
160C22×Dic47—22no—
161C22×Dic47—22no—
162C22×Dic47—21no—
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×Dic47C22×C412yes—
172C22×Dic47C22×C412yes—
173C22×Dic47C22×C412yes—
174C22×Dic47C2×D412yes—
175C22×Dic47C2×D412yes—
176C22×Dic47C2×Q814yes—
177C2×C4×D47—216no—
178C2×C4×D47—48no—
179C2×C4×D47—44no—
180C2×C4×D47—44no—
181C2×C4×D47—48no—
182C2×C4×D47—48no—
183C2×C4×D47—48no—
184C2×C4×D47—48no—
185C2×C4×D47—48no—
186C2×C4×D47—48no—
187C2×C4×D47—48no—
188C2×C4×D47C22⋊C4116yes—
189C2×Dic94—28no—
190C2×Dic94—48no—
191C2×Dic94—48no—
192C2×Dic94—44no—
193C2×Dic94—44no—
194C4⋊C4×C47—28no—
195C4⋊C4×C47—44no—
196(C2×D47)⋊C4—28no—
197(C2×D47)⋊C4—28no—
198(C2×D47)⋊C4—48no—
199C4⋊Dic47—44no—
200Dic47⋊C4—28no—
201Dic47⋊C4—28no—
202C23×C47C23×C411yescharacteristic
203C23×C47C22×D411yescharacteristic
204C23×C47C22×D411yescharacteristic
205C23×C47C22×Q812yes—
206C23×C47C2×#4112yes—
207C23×C47H(5,𝔽2)12yes—
208C23×C47H(5,𝔽2)11yescharacteristic
209C23×C47H(5,𝔽2)12yes—
210C23×C47H(5,𝔽2)11yescharacteristic
211C23×C472−1+411yescharacteristic
212C23×C472−1+411yescharacteristic
213C22×D47—24no—
214C22×D47—22no—
215C22×D47—22no—
216C22×D47—24no—
217C22×D47—22no—
218C22×D47—22no—
219C22×D47—22no—
220C22×D47—22no—
221C22×D47—22no—
222C22×D47—22no—
223C22×D47—24no—
224C22×D47—24no—
225C22×D47—24no—
226C22×D47—24no—
227C22×D47—24no—
228C22×D47—24no—
229C22×D47—24no—
230C22×D47—24no—
231C22×D47C2×C22⋊C414yes—
232C22×D47C4×Q818yes—
233C22×D47C22⋊Q818yes—
234C22×D47#12414yes—
235C22×D47C4⋊Q814yes—
236C2×C4×C47—24no—
237C2×C4×C47—22no—
238C2×C4×C47—22no—
239C2×C4×C47—24no—
240C2×C4×C47—22no—
241C2×C4×C47—22no—
242C2×C4×C47—24no—
243C2×C4×C47—22no—
244C2×C4×C47—22no—
245C2×C4×C47—24no—
246C2×C4×C47—24no—
247C2×C4×C47—24no—
248C2×C4×C47—42no—
249C2×C4×C47—41no—
250C2×C4×C47—41no—
251C2×C4×C47—42no—
252C2×C4×C47—42no—
253C2×C4×C47—41no—
254C2×C4×C47—41no—
255C2×C4×C47—41no—
256C2×C4×C47—41no—
257C2×C4×C47—42no—
258C2×C4×C47—42no—
259C2×C4×C47—42no—
260C2×C4×C47—42no—
261C2×C4×C47—42no—
262C2×C4×C47—42no—
263C2×C4×C47—42no—
264C2×C4×C47—42no—
265C2×C4×C47—42no—
266C2×C4×C47C2×C22⋊C414yes—
267C2×Dic47—24no—
268C2×Dic47—24no—
269C2×Dic47—22no—
270C2×Dic47—22no—
271C2×Dic47—22no—
272C2×Dic47—22no—
273C2×Dic47—24no—
274C2×Dic47—22no—
275C2×Dic47—22no—
276C2×Dic47—24no—
277C2×Dic47—24no—
278C2×Dic47—24no—
279C2×Dic47—42no—
280C2×Dic47—41no—
281C2×Dic47—41no—
282C2×Dic47—42no—
283C2×Dic47—42no—
284C2×Dic47—41no—
285C2×Dic47—41no—
286C2×Dic47—41no—
287C2×Dic47—41no—
288C2×Dic47—42no—
289C2×Dic47—42no—
290C2×Dic47—42no—
291C2×Dic47—42no—
292C2×Dic47—42no—
293C2×Dic47—42no—
294C2×Dic47—42no—
295C2×Dic47—42no—
296C2×Dic47—42no—
297C2×Dic47C2×C22⋊C414yes—
298C4×D47—416no—
299C4×D47—432no—
300Dic94—416no—
301#14281—471nomaximal, Sylow
302C22×C47C22×C22⋊C411yescharacteristic
303C22×C47C2×C4×Q812yes—
304C22×C47#51812yes—
305C22×C47#52011yescharacteristic
306C22×C47#52011yescharacteristic
307C22×C47C2×C22⋊Q812yes—
308C22×C47C2×#12411yescharacteristic
309C22×C47C2×C4⋊Q811yescharacteristic
310C22×C47#53412yes—
311C22×C47#53411yescharacteristic
312C22×C47#53411yescharacteristic
313C22×C47#53511yescharacteristic
314C22×C47#53611yescharacteristic
315C22×C47#53711yescharacteristic
316C22×C47#53711yescharacteristic
317C22×C47#53812yes—
318C22×C47#53812yes—
319C22×C47#53912yes—
320C22×C47#53912yes—
321C22×C47#54312yes—
322C22×C47#54312yes—
323C22×C47#54412yes—
324C22×C47#54412yes—
325C2×D47—24no—
326C2×D47—24no—
327C2×D47—28no—
328C2×D47—28no—
329C2×D47—28no—
330C2×D47—28no—
331C2×D47—24no—
332C2×D47—24no—
333C2×D47—24no—
334C2×D47—24no—
335C2×D47#39118yes—
336C4×C47—24no—
337C4×C47—42no—
338C4×C47—42no—
339C4×C47—44no—
340C4×C47—82no—
341Dic47—24no—
342Dic47—42no—
343Dic47—42no—
344Dic47—44no—
345Dic47—82no—
346C22×C22⋊Q8—471no—
347C2×#380—471no—
348C22×#95—471no—
349#1446—472no—
350#1445—472no—
351#1441—471no—
352#1441—471no—
353#1441—471no—
354#1441D4711yescharacteristic, complemented
355C22⋊#95—472no—
356C22⋊#95—472no—
357C2×C47C2×#39111yescharacteristic
358C2×C47#230811yescharacteristic
359C2×C47#231111yescharacteristic
360C2×C47#232912yes—
361C2×C47#232912yes—
362C2×C47#262612yes—
363C2×C47#262712yes—
364C2×C47#263911yescharacteristic
365C2×C47#263911yescharacteristic
366C2×C47#265911yescharacteristic
367C2×C47#265911yescharacteristic
368D47—28no—
369C23×Q8—471no—
370C24×C4—471no—
371C24×C4—472no—
372C2×C22⋊Q8—478no—
373C2×C22⋊Q8—944no—
374C2×C22⋊Q8—944no—
375C22×C4⋊C4—471no—
376C22×C4⋊C4—471no—
377C22×C4⋊C4—471no—
378C22×C4⋊C4C2×D4711yescharacteristic
379C22×C4⋊C4C2×D4711yescharacteristic
380C22×C22⋊C4—471no—
381C22×C22⋊C4—471no—
382C22×C22⋊C4—472no—
383#380—944no—
384C2×#95—471no—
385C2×#95—472no—
386C2×#95—472no—
387C2×#95—472no—
388C2×#95—472no—
389C2×#95—472no—
390C2×#95—472no—
391C2×#95—472no—
392C2×#95—472no—
393C2×#95—944no—
394C2×#95C2×D4711yescharacteristic
395C2×#95C2×D4712yes—
396C2×#95C2×D4712yes—
397C47#1428111yescharacteristic, complemented, Sylow
398C25—471no—
399C22×Q8—474no—
400C22×Q8—942no—
401C22×Q8—942no—
402C22×Q8—1882no—
403C22×Q8—1882no—
404C23×C4—471no—
405C23×C4—474no—
406C23×C4—474no—
407C23×C4—474no—
408C23×C4—471no—
409C23×C4—471no—
410C23×C4—472no—
411C23×C4—478no—
412C23×C4—472no—
413C23×C4—944no—
414C23×C4—944no—
415C23×C4—1882no—
416C23×C4—1882no—
417C23×C4—1882no—
418C23×C4—1882no—
419C23×C4—1882no—
420C23×C4—1882no—
421C23×C4C22×D4712yes—
422C23×C4C22×D4711yescharacteristic
423C23×C4C22×D4711yescharacteristic
424C23×C4C22×D4712yes—
425C23×C4C22×D4711yescharacteristic
426C22⋊Q8—9432no—
427C2×C4⋊C4—22no—
428C2×C4⋊C4—22no—
429C2×C4⋊C4—22no—
430C2×C4⋊C4—42no—
431C2×C4⋊C4—474no—
432C2×C4⋊C4—474no—
433C2×C4⋊C4—942no—
434C2×C4⋊C4—942no—
435C2×C4⋊C4—942no—
436C2×C4⋊C4—942no—
437C2×C4⋊C4—942no—
438C2×C4⋊C4—1882no—
439C2×C4⋊C4C4×D4714yescomplemented
440C2×C22⋊C4—474no—
441C2×C22⋊C4—474no—
442C2×C22⋊C4—942no—
443C2×C22⋊C4—942no—
444C2×C22⋊C4—942no—
445C2×C22⋊C4—942no—
446C2×C22⋊C4—944no—
447C2×C22⋊C4—944no—
448C2×C22⋊C4—944no—
449#95—22no—
450#95—42no—
451#95—42no—
452#95—944no—
453#95—944no—
454#95—942no—
455#95—1882no—
456#95—1882no—
457#95—1882no—
458#95—1882no—
459#95—1882no—
460#95—1882no—
461C24—472no—
462C24—472no—
463C24—472no—
464C24—474no—
465C24—474no—
466C24—941no—
467C24—942no—
468C24—941no—
469C24—942no—
470C24—941no—
471C24—941no—
472C24C23×D4711yescharacteristic
473C2×Q8—948no—
474C2×Q8—1888no—
475C2×Q8—1888no—
476C2×Q8—1884no—
477C2×Q8—1884no—
478C22×C4—22no—
479C22×C4—22no—
480C22×C4—22no—
481C22×C4—21no—
482C22×C4—21no—
483C22×C4—21no—
484C22×C4—21no—
485C22×C4—22no—
486C22×C4—21no—
487C22×C4—22no—
488C22×C4—22no—
489C22×C4—22no—
490C22×C4—21no—
491C22×C4—22no—
492C22×C4—22no—
493C22×C4—22no—
494C22×C4—21no—
495C22×C4—21no—
496C22×C4—22no—
497C22×C4—22no—
498C22×C4—22no—
499C22×C4—22no—
500C22×C4—22no—
501C22×C4—22no—
502C22×C4—22no—
503C22×C4—472no—
504C22×C4—472no—
505C22×C4—472no—
506C22×C4—4716no—
507C22×C4—472no—
508C22×C4—472no—
509C22×C4—474no—
510C22×C4—9416no—
511C22×C4—942no—
512C22×C4—942no—
513C22×C4—942no—
514C22×C4—941no—
515C22×C4—941no—
516C22×C4—941no—
517C22×C4—941no—
518C22×C4—942no—
519C22×C4—941no—
520C22×C4—942no—
521C22×C4—942no—
522C22×C4—942no—
523C22×C4—941no—
524C22×C4—942no—
525C22×C4—942no—
526C22×C4—942no—
527C22×C4—941no—
528C22×C4—941no—
529C22×C4—942no—
530C22×C4—942no—
531C22×C4—942no—
532C22×C4—942no—
533C22×C4—942no—
534C22×C4—942no—
535C22×C4—942no—
536C22×C4—1888no—
537C22×C4—1888no—
538C22×C4—1884no—
539C22×C4—1884no—
540C22×C4—1888no—
541C22×C4—1888no—
542C22×C4—1888no—
543C22×C4—1888no—
544C22×C4—1888no—
545C22×C4—1888no—
546C22×C4C2×C4×D4712yes—
547C22×C4C2×C4×D4712yes—
548C22×C4C2×C4×D4712yes—
549C22×C4D4×D4712yes—
550C22×C4D4×D4712yes—
551C22×C4Q8×D4714yes—
552C4⋊C4—28no—
553C4⋊C4—44no—
554C4⋊C4—948no—
555C4⋊C4—948no—
556C4⋊C4—1884no—
557C22⋊C4—948no—
558C22⋊C4—948no—
559C22⋊C4—1888no—
560C23—474no—
561C23—478no—
562C23—478no—
563C23—474no—
564C23—474no—
565C23—944no—
566C23—944no—
567C23—944no—
568C23—944no—
569C23—944no—
570C23—942no—
571C23—942no—
572C23—944no—
573C23—942no—
574C23—942no—
575C23—942no—
576C23—942no—
577C23—942no—
578C23—942no—
579C23—944no—
580C23—944no—
581C23—944no—
582C23—944no—
583C23C22×C4×D4711yescharacteristic
584C23C2×D4×D4711yescharacteristic
585C23C2×D4×D4711yescharacteristic
586C23C2×Q8×D4712yes—
587C23#41×D4712yes—
588C23#1309406911yescharacteristic
589C23#1309406912yes—
590C23#1309407011yescharacteristic
591C23#1309407012yes—
592C23#1309407111yescharacteristic
593C23#1309407211yescharacteristic
594Q8—18816no—
595C2×C4—24no—
596C2×C4—24no—
597C2×C4—22no—
598C2×C4—22no—
599C2×C4—24no—
600C2×C4—24no—
601C2×C4—22no—
602C2×C4—22no—
603C2×C4—24no—
604C2×C4—22no—
605C2×C4—22no—
606C2×C4—24no—
607C2×C4—42no—
608C2×C4—42no—
609C2×C4—41no—
610C2×C4—41no—
611C2×C4—41no—
612C2×C4—42no—
613C2×C4—41no—
614C2×C4—41no—
615C2×C4—41no—
616C2×C4—42no—
617C2×C4—42no—
618C2×C4—42no—
619C2×C4—42no—
620C2×C4—42no—
621C2×C4—42no—
622C2×C4—42no—
623C2×C4—42no—
624C2×C4—42no—
625C2×C4—474no—
626C2×C4—944no—
627C2×C4—944no—
628C2×C4—942no—
629C2×C4—942no—
630C2×C4—944no—
631C2×C4—944no—
632C2×C4—942no—
633C2×C4—942no—
634C2×C4—944no—
635C2×C4—942no—
636C2×C4—942no—
637C2×C4—944no—
638C2×C4—18816no—
639C2×C4—18832no—
640C2×C4—1882no—
641C2×C4—1882no—
642C2×C4—1882no—
643C2×C4—1882no—
644C2×C4—1882no—
645C2×C4—1882no—
646C2×C4—1882no—
647C2×C4—1882no—
648C2×C4—1882no—
649C2×C4—1881no—
650C2×C4—1881no—
651C2×C4—1881no—
652C2×C4—1882no—
653C2×C4—1881no—
654C2×C4—1881no—
655C2×C4—1881no—
656C2×C4—1882no—
657C2×C4—1882no—
658C2×C4C22⋊C4×D4714yes—
659C22—478no—
660C22—948no—
661C22—948no—
662C22—948no—
663C22—948no—
664C22—944no—
665C22—944no—
666C22—944no—
667C22—944no—
668C22—944no—
669C22—944no—
670C22C2×C22⋊C4×D4711yescharacteristic
671C22C4×Q8×D4712yes—
672C22#1568959512yes—
673C22#1568960311yescharacteristic
674C22#1568960411yescharacteristic
675C22C22⋊Q8×D4712yes—
676C22#124×D4711yescharacteristic
677C22C4⋊Q8×D4711yescharacteristic
678C22#1568968112yes—
679C22#1568968311yescharacteristic
680C22#1568968411yescharacteristic
681C22#1568968911yescharacteristic
682C22#1568969611yescharacteristic
683C22#1568970211yescharacteristic
684C22#1568970311yescharacteristic
685C22#1568970512yes—
686C22#1568971212yes—
687C22#1568971612yes—
688C22#1568972112yes—
689C22#1568974812yes—
690C22#1568974812yes—
691C22#1568975012yes—
692C22#1568975312yes—
693C4—24no—
694C4—44no—
695C4—42no—
696C4—42no—
697C4—82no—
698C4—944no—
699C4—3762no—
700C4—1884no—
701C4—1882no—
702C4—1882no—
703C2—948no—
704C2#391×D4711yescharacteristic
705C2#2024596211yescharacteristic
706C2#2024597711yescharacteristic
707C2#2024611512yes—
708C2#2024612212yes—
709C2#2024919812yes—
710C2#2024920612yes—
711C2#2024931911yescharacteristic
712C2#2024932011yescharacteristic
713C2#2024950111yescharacteristic
714C2#2024950311yescharacteristic
subgroupG/H
center, FrattiniC24C23×D47
commutatorC23×C47C23×C4
FittingC47×#1441C2
socle, cosocleC24×C47C24
prime radicalC24×D47C23
hypercenter#1441D47
hypocenterC47#14281
LCSG ▷ C23×C47 ▷ C47
UCSC1 ◁ C24 ◁ #1441

Complements

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

NH ≅ G/Ntype
4. #20241658C2semidirect
5. #20241654C2semidirect
6. #20241642C2semidirect
7. #20241641C2semidirect
8. #20241638C2semidirect
11. C47×#1441C2semidirect
17. C2×#13094002C4semidirect
45. C22×Dic94C2×C4semidirect
62. C22×C4×D47Q8semidirect
70. C2×Dic47⋊C4C2×C4semidirect
71. C2×Dic47⋊C4C2×C4semidirect
99. C2×C4⋊C4×C47C2×C4semidirect
354. #1441D47semidirect
397. C47#14281semidirect
439. C2×C4⋊C4C4×D47semidirect

Maximal subgroups

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

subgroupindex
C22×#130940022
C2×#156889802
C2×#95×D472
#202416582
#202416542
#202416422
#202416412
#202416382
(C2×D47)⋊#952
C47×#14412
#1428147