Finite Group Databasebeta

← #26138279

Subgroups — #26138279

Order 12032.

2222 conjugacy classes of subgroups.

The subgroup lattice has 700 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#15689009C212yesmaximal, complemented
2C2×#15688983C211yesmaximal, characteristic
3C2×C4×C22⋊Dic47C211yesmaximal, characteristic
4#20241656C212yesmaximal, complemented
5#20241641C212yesmaximal, complemented
6#20241620C212yesmaximal, complemented
7#20241611C211yesmaximal, characteristic
8#20241611C211yesmaximal, characteristic
9#20241611C211yesmaximal, characteristic
10#20241611C211yesmaximal, characteristic
11C23×C4⋊C4×C47C211yesmaximal, characteristic
12C22×C4⋊Dic47C2212yes—
13C22×C22⋊Dic47C2211yescharacteristic
14C22×C22⋊Dic47C2211yescharacteristic
15C22×C22⋊Dic47C2211yescharacteristic
16C22×C22⋊Dic47C2211yescharacteristic
17C22×C4×Dic47C2212yes—
18#15689009—28no—
19#15688983—24no—
20C4×C22⋊Dic47—24no—
21C2×C47⋊#95C2212yes—
22C2×C47⋊#95C2212yes—
23C2×C47⋊#95C2212yes—
24C2×C47⋊#95C2212yes—
25C2×C47⋊#95C2212yes—
26C2×C47⋊#95C2212yes—
27C2×C47⋊#95C2212yes—
28C2×C47⋊#95C2212yes—
29C2×C47⋊#95C2212yes—
30C2×C47⋊#95C2212yes—
31C24×C4×C47C2211yescharacteristic
32C24×C4×C47C2211yescharacteristic
33C24×C4×C47C2211yescharacteristic
34C22×C4⋊C4×C47—28no—
35C22×C4⋊C4×C47C418yescomplemented
36C22×C4⋊C4×C47C2211yescharacteristic
37C22×C4⋊C4×C47C2211yescharacteristic
38C22×C4⋊C4×C47C2211yescharacteristic
39C22×C4⋊C4×C47C2211yescharacteristic
40C23×Dic47C2312yes—
41C23×Dic47C2312yes—
42C23×Dic47C2312yes—
43C23×Dic47C2312yes—
44C2×C4⋊Dic47—24no—
45C2×C4⋊Dic47—24no—
46C2×C4⋊Dic47—42no—
47C2×C22⋊Dic47—22no—
48C2×C22⋊Dic47—22no—
49C2×C22⋊Dic47—22no—
50C2×C22⋊Dic47—22no—
51C2×C22⋊Dic47—22no—
52C2×C22⋊Dic47—22no—
53C2×C22⋊Dic47—22no—
54C2×C22⋊Dic47—22no—
55C2×C22⋊Dic47—22no—
56C2×C22⋊Dic47—22no—
57C2×C22⋊Dic47D414yes—
58C2×C22⋊Dic47Q814yes—
59C2×C4×Dic47—24no—
60C2×C4×Dic47—24no—
61C2×C4×Dic47—42no—
62C47⋊#95—24no—
63C47⋊#95—24no—
64C47⋊#95—24no—
65C47⋊#95—24no—
66C47⋊#95—24no—
67C47⋊#95—24no—
68C47⋊#95—24no—
69C47⋊#95—24no—
70C47⋊#95—42no—
71C47⋊#95—42no—
72C25×C47C2311yescharacteristic
73C23×C4×C47—22no—
74C23×C4×C47—22no—
75C23×C4×C47—24no—
76C23×C4×C47—24no—
77C23×C4×C47—22no—
78C23×C4×C47—22no—
79C23×C4×C47—22no—
80C23×C4×C47—22no—
81C23×C4×C47—24no—
82C23×C4×C47—24no—
83C23×C4×C47—42no—
84C23×C4×C47—42no—
85C23×C4×C47C2×C414yes—
86C23×C4×C47C2×C414yes—
87C23×C4×C47C2×C414yes—
88C23×C4×C47C2311yescharacteristic
89C23×C4×C47C2311yescharacteristic
90C23×C4×C47C2311yescharacteristic
91C23×C4×C47C2311yescharacteristic
92C23×C4×C47C2311yescharacteristic
93C23×C4×C47C2311yescharacteristic
94C2×C4⋊C4×C47—24no—
95C2×C4⋊C4×C47—24no—
96C2×C4⋊C4×C47—24no—
97C2×C4⋊C4×C47—232no—
98C2×C4⋊C4×C47C2×C414yes—
99C2×C4⋊C4×C47C2×C414yes—
100C2×C4⋊C4×C47C2×C414yes—
101C2×C4⋊C4×C47C2×C414yes—
102C2×C4⋊C4×C47D418yes—
103C24×C47—22no—
104C24×C47—22no—
105C24×C47—22no—
106C24×C47—22no—
107C24×C47C22×C412yes—
108C24×C47C2×D412yes—
109C24×C47C2×Q812yes—
110C24×C47#4112yes—
111C24×C47#4112yes—
112C24×C47#4112yes—
113C24×C47#4112yes—
114C24×C47C2411yescharacteristic
115C22×C4×C47—216no—
116C22×C4×C47—216no—
117C22×C4×C47—28no—
118C22×C4×C47—22no—
119C22×C4×C47—21no—
120C22×C4×C47—21no—
121C22×C4×C47—21no—
122C22×C4×C47—21no—
123C22×C4×C47—22no—
124C22×C4×C47—21no—
125C22×C4×C47—21no—
126C22×C4×C47—21no—
127C22×C4×C47—21no—
128C22×C4×C47—22no—
129C22×C4×C47—22no—
130C22×C4×C47—28no—
131C22×C4×C47—28no—
132C22×C4×C47—28no—
133C22×C4×C47—28no—
134C22×C4×C47—22no—
135C22×C4×C47—22no—
136C22×C4×C47—21no—
137C22×C4×C47—21no—
138C22×C4×C47—21no—
139C22×C4×C47—21no—
140C22×C4×C47—22no—
141C22×C4×C47—22no—
142C22×C4×C47—28no—
143C22×C4×C47—28no—
144C22×C4×C47—44no—
145C22×C4×C47—44no—
146C22×C4×C47—48no—
147C22×C4×C47—48no—
148C22×C4×C47—48no—
149C22×C4×C47—48no—
150C22×C4×C47C22×C412yes—
151C22×C4×C47C22×C412yes—
152C22×C4×C47C22×C412yes—
153C22×C4×C47C22×C412yes—
154C22×C4×C47C22×C412yes—
155C22×C4×C47C22×C412yes—
156C22×C4×C47C2×D414yes—
157C22×C4×C47C2×D414yes—
158C22×C4×C47C2×D414yes—
159C22×C4×C47#4114yes—
160C22×Dic47—22no—
161C22×Dic47—22no—
162C22×Dic47—22no—
163C22×Dic47—22no—
164C22×Dic47—22no—
165C22×Dic47—22no—
166C22×Dic47—22no—
167C22×Dic47—22no—
168C22×Dic47—22no—
169C22×Dic47—22no—
170C22×Dic47—22no—
171C22×Dic47—22no—
172C22×Dic47—22no—
173C22×Dic47—22no—
174C22×Dic47—22no—
175C22×Dic47—22no—
176C22×Dic47—22no—
177C22×Dic47—22no—
178C22×Dic47—22no—
179C22×Dic47—22no—
180C22×Dic47—22no—
181C22×Dic47—22no—
182C22×Dic47—22no—
183C22×Dic47—22no—
184C22×Dic47—22no—
185C22×Dic47—22no—
186C22×Dic47C2×D414yes—
187C22×Dic47C2×Q814yes—
188C4⋊C4×C47—28no—
189C4⋊C4×C47—28no—
190C4⋊C4×C47—28no—
191C4⋊C4×C47C22⋊C4116yescomplemented
192C22⋊Dic47—28no—
193C22⋊Dic47—28no—
194C22⋊Dic47—44no—
195C22⋊Dic47—44no—
196C4⋊Dic47—48no—
197C4×Dic47—48no—
198C23×C47—22no—
199C23×C47—22no—
200C23×C47—22no—
201C23×C47—22no—
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#11714yes—
215C23×C47C4×D414yes—
216C23×C47C4×Q814yes—
217C23×C47C22⋊Q814yes—
218C23×C47#12314yes—
219C23×C47#12514yes—
220C23×C47#12614yes—
221C23×C47C23×C411yescharacteristic
222C23×C47C22×D411yescharacteristic
223C23×C47C22×D412yes—
224C23×C47C22×Q811yescharacteristic
225C23×C47C2×#4111yescharacteristic
226C23×C47C2×#4111yescharacteristic
227C23×C47C2×#4111yescharacteristic
228C23×C47C2×#4112yes—
229C23×C47C2×#4111yescharacteristic
230C23×C47H(5,𝔽2)12yes—
231C23×C472−1+412yes—
232C2×C4×C47—232no—
233C2×C4×C47—22no—
234C2×C4×C47—22no—
235C2×C4×C47—22no—
236C2×C4×C47—22no—
237C2×C4×C47—22no—
238C2×C4×C47—22no—
239C2×C4×C47—22no—
240C2×C4×C47—22no—
241C2×C4×C47—24no—
242C2×C4×C47—24no—
243C2×C4×C47—24no—
244C2×C4×C47—24no—
245C2×C4×C47—24no—
246C2×C4×C47—24no—
247C2×C4×C47—24no—
248C2×C4×C47—24no—
249C2×C4×C47—22no—
250C2×C4×C47—22no—
251C2×C4×C47—22no—
252C2×C4×C47—22no—
253C2×C4×C47—22no—
254C2×C4×C47—22no—
255C2×C4×C47—416no—
256C2×C4×C47—416no—
257C2×C4×C47—42no—
258C2×C4×C47—42no—
259C2×C4×C47—42no—
260C2×C4×C47—42no—
261C2×C4×C47C2×C22⋊C414yes—
262C2×C4×C47C2×C22⋊C414yes—
263C2×C4×C47C2×C22⋊C414yes—
264C2×C4×C47#11714yes—
265C2×Dic47—24no—
266C2×Dic47—24no—
267C2×Dic47—24no—
268C2×Dic47—24no—
269C2×Dic47—24no—
270C2×Dic47—24no—
271C2×Dic47—42no—
272C2×Dic47—42no—
273C2×Dic47—42no—
274C2×Dic47—42no—
275C2×Dic47—42no—
276C2×Dic47—42no—
277C2×Dic47—42no—
278C2×Dic47—42no—
279C2×Dic47—42no—
280C2×Dic47—42no—
281C2×Dic47—42no—
282C2×Dic47—42no—
283C2×Dic47—42no—
284C2×Dic47—42no—
285C2×Dic47—42no—
286C2×Dic47—42no—
287C2×Dic47—42no—
288C2×Dic47—42no—
289C2×Dic47—42no—
290C2×Dic47—42no—
291C2×Dic47—42no—
292C2×Dic47—42no—
293#13882—471nomaximal, Sylow
294C22×C47—24no—
295C22×C47—24no—
296C22×C47—24no—
297C22×C47—24no—
298C22×C47—24no—
299C22×C47—28no—
300C22×C47—28no—
301C22×C47—28no—
302C22×C47—28no—
303C22×C47—24no—
304C22×C47#38718yescomplemented
305C22×C47C22×C22⋊C411yescharacteristic
306C22×C47C2×#11711yescharacteristic
307C22×C47C2×#11711yescharacteristic
308C22×C47C2×C4×D411yescharacteristic
309C22×C47C2×C4×Q811yescharacteristic
310C22×C47#51811yescharacteristic
311C22×C47#51911yescharacteristic
312C22×C47C2×C22⋊Q811yescharacteristic
313C22×C47C2×#12311yescharacteristic
314C22×C47#52512yes—
315C22×C47#52512yes—
316C22×C47C2×#12511yescharacteristic
317C22×C47C2×#12611yescharacteristic
318C22×C47#53912yes—
319C22×C47#53912yes—
320C22×C47D4212yes—
321C22×C47#54612yes—
322C22×C47#54712yes—
323C22×C47#54812yes—
324C22×C47D4×Q812yes—
325C22×C47#55212yes—
326C22×C47#55312yes—
327C22×C47#55412yes—
328C4×C47—24no—
329C4×C47—24no—
330C4×C47—24no—
331C4×C47—24no—
332C4×C47—42no—
333C4×C47—42no—
334Dic47—44no—
335Dic47—44no—
336Dic47—82no—
337Dic47—82no—
338C23×C4⋊C4D4711yescharacteristic
339C2×#387—472no—
340C2×#380—471no—
341C2×C4×C22⋊C4—471no—
342#1445—472no—
343#1441—472no—
344#1436—472no—
345C22⋊#95—471no—
346C22⋊#95—471no—
347C22⋊#95—471no—
348C22⋊#95—471no—
349C2×C47—28no—
350C2×C47#228011yescharacteristic
351C2×C47C2×#38711yescharacteristic
352C2×C47#231311yescharacteristic
353C2×C47D4×C22⋊C411yescharacteristic
354C2×C47Q8×C22⋊C411yescharacteristic
355C2×C47#234411yescharacteristic
356C2×C47#234511yescharacteristic
357C2×C47#244312yes—
358C2×C47#244912yes—
359C2×C47#247312yes—
360C2×C47#248112yes—
361C24×C4C2×D4711yescharacteristic
362C24×C4C2×D4711yescharacteristic
363C24×C4C2×D4711yescharacteristic
364C22×C4⋊C4—28no—
365C22×C4⋊C4—472no—
366C22×C4⋊C4Dic4718yescomplemented
367C22×C4⋊C4C2×D4711yescharacteristic
368C22×C4⋊C4C2×D4711yescharacteristic
369C22×C4⋊C4C2×D4711yescharacteristic
370C22×C4⋊C4C2×D4711yescharacteristic
371C22×C22⋊C4—471no—
372C22×C22⋊C4—471no—
373C22×C22⋊C4—471no—
374C22×C22⋊C4—471no—
375C22×C42—472no—
376#387—948no—
377#380—944no—
378C4×C22⋊C4—944no—
379C2×#95—472no—
380C2×#95—472no—
381C2×#95—472no—
382C2×#95—472no—
383C2×#95—472no—
384C2×#95—472no—
385C2×#95—472no—
386C2×#95—472no—
387C2×#95—472no—
388C2×#95—472no—
389C47#1388211yescharacteristic, complemented, Sylow
390C25C22×D4711yescharacteristic
391C23×C4—22no—
392C23×C4—22no—
393C23×C4—24no—
394C23×C4—24no—
395C23×C4—22no—
396C23×C4—22no—
397C23×C4—22no—
398C23×C4—22no—
399C23×C4—24no—
400C23×C4—24no—
401C23×C4—42no—
402C23×C4—42no—
403C23×C4—472no—
404C23×C4—472no—
405C23×C4—472no—
406C23×C4—472no—
407C23×C4C2×Dic4714yes—
408C23×C4C2×Dic4714yes—
409C23×C4C2×Dic4714yes—
410C23×C4C22×D4711yescharacteristic
411C23×C4C22×D4711yescharacteristic
412C23×C4C22×D4711yescharacteristic
413C23×C4C22×D4711yescharacteristic
414C23×C4C22×D4711yescharacteristic
415C23×C4C22×D4711yescharacteristic
416C2×C4⋊C4—24no—
417C2×C4⋊C4—24no—
418C2×C4⋊C4—24no—
419C2×C4⋊C4—232no—
420C2×C4⋊C4—944no—
421C2×C4⋊C4—944no—
422C2×C4⋊C4—1882no—
423C2×C4⋊C4C2×Dic4714yes—
424C2×C4⋊C4C2×Dic4714yes—
425C2×C4⋊C4C2×Dic4714yes—
426C2×C4⋊C4C2×Dic4714yes—
427C2×C4⋊C4C22⋊D4718yes—
428C2×C22⋊C4—474no—
429C2×C22⋊C4—474no—
430C2×C22⋊C4—942no—
431C2×C22⋊C4—942no—
432C2×C22⋊C4—942no—
433C2×C22⋊C4—942no—
434C2×C22⋊C4—942no—
435C2×C22⋊C4—942no—
436C2×C22⋊C4—942no—
437C2×C22⋊C4—942no—
438C2×C22⋊C4—942no—
439C2×C22⋊C4—942no—
440C2×C42—944no—
441C2×C42—944no—
442C2×C42—1882no—
443#95—944no—
444#95—944no—
445#95—944no—
446#95—944no—
447#95—944no—
448#95—944no—
449#95—944no—
450#95—944no—
451#95—1882no—
452#95—1882no—
453C24—22no—
454C24—22no—
455C24—22no—
456C24—22no—
457C24#1062535012yes—
458C24#1062535012yes—
459C24D4×D4712yes—
460C24#1062535212yes—
461C24Q8×D4712yes—
462C24#1062535412yes—
463C24C22×Dic4712yes—
464C24C23×D4711yescharacteristic
465C22×C4—216no—
466C22×C4—216no—
467C22×C4—28no—
468C22×C4—21no—
469C22×C4—21no—
470C22×C4—22no—
471C22×C4—21no—
472C22×C4—21no—
473C22×C4—21no—
474C22×C4—21no—
475C22×C4—22no—
476C22×C4—21no—
477C22×C4—21no—
478C22×C4—22no—
479C22×C4—22no—
480C22×C4—28no—
481C22×C4—28no—
482C22×C4—28no—
483C22×C4—28no—
484C22×C4—21no—
485C22×C4—21no—
486C22×C4—22no—
487C22×C4—22no—
488C22×C4—21no—
489C22×C4—21no—
490C22×C4—22no—
491C22×C4—22no—
492C22×C4—28no—
493C22×C4—28no—
494C22×C4—44no—
495C22×C4—44no—
496C22×C4—48no—
497C22×C4—48no—
498C22×C4—48no—
499C22×C4—48no—
500C22×C4—474no—
501C22×C4—474no—
502C22×C4—942no—
503C22×C4—942no—
504C22×C4—942no—
505C22×C4—942no—
506C22×C4—942no—
507C22×C4—942no—
508C22×C4—942no—
509C22×C4—942no—
510C22×C4—942no—
511C22×C4—942no—
512C22×C4—942no—
513C22×C4—942no—
514C22×C4—942no—
515C22×C4—942no—
516C22×C4—942no—
517C22×C4—942no—
518C22×C4—942no—
519C22×C4—942no—
520C22×C4—942no—
521C22×C4—942no—
522C22×C4—942no—
523C22×C4—942no—
524C22×C4—942no—
525C22×C4—942no—
526C22×C4—942no—
527C22×C4—942no—
528C22×C4#1062535014yes—
529C22×C4C22×Dic4712yes—
530C22×C4C22×Dic4712yes—
531C22×C4C22×Dic4712yes—
532C22×C4C22×Dic4712yes—
533C22×C4C22×Dic4712yes—
534C22×C4C22×Dic4712yes—
535C22×C4C2×C22⋊D4714yes—
536C22×C4C2×C22⋊D4714yes—
537C22×C4C2×C22⋊D4714yes—
538C4⋊C4—28no—
539C4⋊C4—28no—
540C4⋊C4—28no—
541C4⋊C4—1888no—
542C4⋊C4C22⋊Dic47116yescomplemented
543C22⋊C4—948no—
544C22⋊C4—948no—
545C22⋊C4—1884no—
546C22⋊C4—1884no—
547C42—1888no—
548C23—24no—
549C23—24no—
550C23—24no—
551C23—24no—
552C23—24no—
553C23—24no—
554C23—24no—
555C23—22no—
556C23—24no—
557C23—22no—
558C23—22no—
559C23—22no—
560C23—24no—
561C23—24no—
562C23—24no—
563C23—24no—
564C23#1309398314yes—
565C23D4×Dic4714yes—
566C23Q8×Dic4714yes—
567C23#1309400214yes—
568C23#1309400914yes—
569C23#1309401414yes—
570C23#1309401914yes—
571C23C23×Dic4711yescharacteristic
572C23C2×D4×D4711yescharacteristic
573C23C22×C22⋊D4712yes—
574C23C2×Q8×D4711yescharacteristic
575C23C2×#1062535211yescharacteristic
576C23C2×#1062535012yes—
577C23C2×#1062535011yescharacteristic
578C23C2×#1062535011yescharacteristic
579C23C2×#1062535411yescharacteristic
580C23#1309406912yes—
581C23#1309407212yes—
582C2×C4—232no—
583C2×C4—24no—
584C2×C4—24no—
585C2×C4—24no—
586C2×C4—24no—
587C2×C4—22no—
588C2×C4—22no—
589C2×C4—22no—
590C2×C4—22no—
591C2×C4—22no—
592C2×C4—22no—
593C2×C4—22no—
594C2×C4—22no—
595C2×C4—24no—
596C2×C4—24no—
597C2×C4—24no—
598C2×C4—24no—
599C2×C4—22no—
600C2×C4—22no—
601C2×C4—22no—
602C2×C4—22no—
603C2×C4—22no—
604C2×C4—22no—
605C2×C4—416no—
606C2×C4—416no—
607C2×C4—42no—
608C2×C4—42no—
609C2×C4—42no—
610C2×C4—42no—
611C2×C4—944no—
612C2×C4—944no—
613C2×C4—944no—
614C2×C4—944no—
615C2×C4—944no—
616C2×C4—944no—
617C2×C4—1882no—
618C2×C4—1882no—
619C2×C4—1882no—
620C2×C4—1882no—
621C2×C4—1882no—
622C2×C4—1882no—
623C2×C4—1882no—
624C2×C4—1882no—
625C2×C4—1882no—
626C2×C4—1882no—
627C2×C4—1882no—
628C2×C4—1882no—
629C2×C4—1882no—
630C2×C4—1882no—
631C2×C4—1882no—
632C2×C4—1882no—
633C2×C4—1882no—
634C2×C4—1882no—
635C2×C4—1882no—
636C2×C4—1882no—
637C2×C4—1882no—
638C2×C4—1882no—
639C2×C4C2×C22⋊Dic4714yes—
640C2×C4C2×C22⋊Dic4714yes—
641C2×C4C2×C22⋊Dic4714yes—
642C2×C4#1309398314yes—
643C22—24no—
644C22—28no—
645C22—28no—
646C22—28no—
647C22—24no—
648C22—24no—
649C22—28no—
650C22—24no—
651C22—24no—
652C22—24no—
653C22#1568900918yescomplemented
654C22C22×C22⋊Dic4711yescharacteristic
655C22C2×#1309398311yescharacteristic
656C22C2×#1309398311yescharacteristic
657C22C2×D4×Dic4711yescharacteristic
658C22C2×Q8×Dic4711yescharacteristic
659C22#1568959811yescharacteristic
660C22#1568960111yescharacteristic
661C22C2×#1309400211yescharacteristic
662C22C2×#1309400911yescharacteristic
663C22#1568963412yes—
664C22#1568963412yes—
665C22C2×#1309401411yescharacteristic
666C22C2×#1309401911yescharacteristic
667C22#1568972012yes—
668C22#1568972012yes—
669C22D4×C22⋊D4712yes—
670C22#1568976712yes—
671C22#1568977412yes—
672C22#1568978412yes—
673C22Q8×C22⋊D4712yes—
674C22#1568980812yes—
675C22#1568982112yes—
676C22#1568982812yes—
677C4—24no—
678C4—24no—
679C4—24no—
680C4—24no—
681C4—42no—
682C4—42no—
683C4—3762no—
684C4—3762no—
685C4—1884no—
686C4—1884no—
687C2—28no—
688C2#2024577111yescharacteristic
689C2C2×#1568900911yescharacteristic
690C2#2024599111yescharacteristic
691C2D4×C22⋊Dic4711yescharacteristic
692C2Q8×C22⋊Dic4711yescharacteristic
693C2#2024625711yescharacteristic
694C2#2024626511yescharacteristic
695C2#2024712312yes—
696C2#2024719712yes—
697C2#2024752312yes—
698C2#2024764312yes—
subgroupG/H
center, FrattiniC24C23×D47
commutatorC23×C47C23×C4
FittingC23×C4⋊C4×C47C2
socle, cosocleC24×C47C24
prime radicalC25×C47C23
hypercenterC23×C4⋊C4D47
hypocenterC47#13882
LCSG ▷ C23×C47 ▷ C47
UCSC1 ◁ C24 ◁ C23×C4⋊C4

Complements

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

NH ≅ G/Ntype
1. C2×#15689009C2semidirect
4. #20241656C2semidirect
5. #20241641C2semidirect
6. #20241620C2semidirect
35. C22×C4⋊C4×C47C4semidirect
191. C4⋊C4×C47C22⋊C4semidirect
304. C22×C47#387semidirect
366. C22×C4⋊C4Dic47semidirect
389. C47#13882semidirect
542. C4⋊C4C22⋊Dic47semidirect
653. C22#15689009semidirect

Maximal subgroups

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

subgroupindex
C2×#156890092
C2×#156889832
C2×C4×C22⋊Dic472
#202416562
#202416412
#202416202
#202416112
C23×C4⋊C4×C472
#1388247