Finite Group Databasebeta

← #26137917

Subgroups — #26137917

Order 12032.

1998 conjugacy classes of subgroups.

The subgroup lattice has 738 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#15689026C211yesmaximal, characteristic
2C2×#15689003C211yesmaximal, characteristic
3#20241625C212yesmaximal, complemented
4#20241625C212yesmaximal, complemented
5#20241622C212yesmaximal, complemented
6#20241613C212yesmaximal, complemented
7#20241611C212yesmaximal, complemented
8#20241610C212yesmaximal, complemented
9C2×C47×#386C211yesmaximal, characteristic
10C24×Dic47C2211yescharacteristic
11C22×C4⋊Dic47C2211yescharacteristic
12C22×C22⋊Dic47C2212yes—
13C22×C22⋊Dic47C2211yescharacteristic
14C22×C22⋊Dic47C2212yes—
15C22×C22⋊Dic47C2212yes—
16C22×C4×Dic47C2212yes—
17C22×C4×Dic47C2211yescharacteristic
18#15689026C418yescomplemented
19#15689003C418yescomplemented
20C2×C47⋊#95C2212yes—
21C2×C47⋊#95C2212yes—
22C2×C47⋊#95C2212yes—
23C2×C47⋊#95C2212yes—
24C2×C47⋊#95C2212yes—
25C2×C47⋊#95C2212yes—
26C2×C47⋊#95C2212yes—
27C2×C47⋊#95C2212yes—
28C23×D4×C47C2211yescharacteristic
29C24×C4×C47C2211yescharacteristic
30C22×C22⋊C4×C47C2212yes—
31C22×C22⋊C4×C47C2211yescharacteristic
32C47×#386C418yescomplemented
33C2×#95×C47C2212yes—
34C23×Dic47—41no—
35C23×Dic47—41no—
36C23×Dic47—42no—
37C23×Dic47—42no—
38C23×Dic47C2×C414yescomplemented
39C23×Dic47C2312yes—
40C23×Dic47C2312yes—
41C23×Dic47C2312yes—
42C23×Dic47C2312yes—
43C2×C4⋊Dic47—41no—
44C2×C4⋊Dic47—41no—
45C2×C4⋊Dic47C2×C414yescomplemented
46C2×C22⋊Dic47—42no—
47C2×C22⋊Dic47—42no—
48C2×C22⋊Dic47—41no—
49C2×C22⋊Dic47—42no—
50C2×C22⋊Dic47—42no—
51C2×C22⋊Dic47—41no—
52C2×C22⋊Dic47—42no—
53C2×C22⋊Dic47—42no—
54C2×C22⋊Dic47C2×C418yes—
55C2×C22⋊Dic47C2×C414yescomplemented
56C2×C22⋊Dic47C2×C418yescomplemented
57C2×C22⋊Dic47C2×C418yescomplemented
58C2×C4×Dic47—41no—
59C2×C4×Dic47—41no—
60C2×C4×Dic47—42no—
61C2×C4×Dic47—42no—
62C2×C4×Dic47—42no—
63C2×C4×Dic47C2×C414yescomplemented
64C47⋊#95—42no—
65C47⋊#95—42no—
66C47⋊#95—42no—
67C47⋊#95—42no—
68C47⋊#95—42no—
69C47⋊#95—42no—
70C47⋊#95—42no—
71C47⋊#95C2×C418yescomplemented
72C25×C47C2311yescharacteristic
73C25×C47C2311yescharacteristic
74C22×D4×C47—41no—
75C22×D4×C47—41no—
76C22×D4×C47—41no—
77C22×D4×C47—41no—
78C22×D4×C47C2×C414yes—
79C22×D4×C47C2×C414yes—
80C22×D4×C47C2×C414yes—
81C23×C4×C47—42no—
82C23×C4×C47—42no—
83C23×C4×C47—41no—
84C23×C4×C47—41no—
85C23×C4×C47C2×C414yescomplemented
86C23×C4×C47C2312yes—
87C23×C4×C47C2312yes—
88C23×C4×C47C2311yescharacteristic
89C2×C22⋊C4×C47—42no—
90C2×C22⋊C4×C47—42no—
91C2×C22⋊C4×C47—41no—
92C2×C22⋊C4×C47—41no—
93C2×C22⋊C4×C47C2×C418yes—
94C2×C22⋊C4×C47C2×C414yescomplemented
95#95×C47C2×C418yescomplemented
96C24×C47—21no—
97C24×C47—21no—
98C24×C47—22no—
99C24×C47—22no—
100C24×C47—21no—
101C24×C47—21no—
102C24×C47—22no—
103C24×C47—22no—
104C24×C47—21no—
105C24×C47—21no—
106C24×C47—21no—
107C24×C47—21no—
108C24×C47—22no—
109C24×C47—22no—
110C24×C47—22no—
111C24×C47—22no—
112C24×C47C22×C412yes—
113C24×C47C22×C412yes—
114C24×C47C22×C412yes—
115C24×C47C22×C412yes—
116C24×C47C22×C412yes—
117C24×C47C22×C412yes—
118C24×C47C2411yescharacteristic
119C2×D4×C47—44no—
120C2×D4×C47—44no—
121C2×D4×C47—44no—
122C2×D4×C47—44no—
123C2×D4×C47—44no—
124C2×D4×C47—44no—
125C2×D4×C47C42116yescomplemented
126C22×C4×C47—21no—
127C22×C4×C47—21no—
128C22×C4×C47—21no—
129C22×C4×C47—21no—
130C22×C4×C47—22no—
131C22×C4×C47—22no—
132C22×C4×C47—22no—
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×C47—22no—
141C22×C4×C47—22no—
142C22×C4×C47—48no—
143C22×C4×C47—44no—
144C22×C4×C47—44no—
145C22×C4×C47—48no—
146C22×C4×C47—44no—
147C22×C4×C47C22×C414yes—
148C22×C4×C47C22×C414yes—
149C22×C4×C47C22×C412yes—
150C22×C4×C47C22×C412yes—
151C22×C4×C47C22×C412yes—
152C22×Dic47—22no—
153C22×Dic47—22no—
154C22×Dic47—22no—
155C22×Dic47—22no—
156C22×Dic47—22no—
157C22×Dic47—22no—
158C22×Dic47—22no—
159C22×Dic47—22no—
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—48no—
177C22×Dic47—44no—
178C22×Dic47—48no—
179C22×Dic47—44no—
180C22×Dic47—44no—
181C22×Dic47C22×C414yes—
182C22×Dic47C22×C414yes—
183C22×Dic47C22×C414yes—
184C22×Dic47C22×C414yes—
185C22⋊C4×C47—48no—
186C22⋊C4×C47—44no—
187C22⋊Dic47—48no—
188C22⋊Dic47—48no—
189C22⋊Dic47—48no—
190C22⋊Dic47—44no—
191C4⋊Dic47—44no—
192C4×Dic47—44no—
193C4×Dic47—48no—
194C23×C47—22no—
195C23×C47—24no—
196C23×C47—24no—
197C23×C47—24no—
198C23×C47—22no—
199C23×C47—24no—
200C23×C47—22no—
201C23×C47—24no—
202C23×C47—22no—
203C23×C47—24no—
204C23×C47—22no—
205C23×C47—22no—
206C23×C47—22no—
207C23×C47—22no—
208C23×C47—22no—
209C23×C47—22no—
210C23×C47—22no—
211C23×C47—22no—
212C23×C47—24no—
213C23×C47—24no—
214C23×C47—24no—
215C23×C47—24no—
216C23×C47—24no—
217C23×C47—24no—
218C23×C47—42no—
219C23×C47—41no—
220C23×C47—41no—
221C23×C47—42no—
222C23×C47—42no—
223C23×C47—42no—
224C23×C47—42no—
225C23×C47—41no—
226C23×C47—42no—
227C23×C47—41no—
228C23×C47—41no—
229C23×C47—41no—
230C23×C47—42no—
231C23×C47—42no—
232C23×C47—42no—
233C23×C47—42no—
234C23×C47—42no—
235C23×C47—42no—
236C23×C47—41no—
237C23×C47—41no—
238C23×C47C2×C4214yes—
239C23×C47C2×C4214yes—
240C23×C47C23×C411yescharacteristic
241C23×C47C23×C411yescharacteristic
242C23×C47C23×C411yescharacteristic
243C23×C47H(5,𝔽2)11yescharacteristic
244C23×C47H(5,𝔽2)11yescharacteristic
245C23×C47H(5,𝔽2)11yescharacteristic
246C23×C47H(5,𝔽2)11yescharacteristic
247C23×C47H(5,𝔽2)12yes—
248C23×C47H(5,𝔽2)12yes—
249C23×C47H(5,𝔽2)12yes—
250C23×C472−1+412yes—
251D4×C47—416no—
252C2×C4×C47—22no—
253C2×C4×C47—22no—
254C2×C4×C47—22no—
255C2×C4×C47—22no—
256C2×C4×C47—22no—
257C2×C4×C47—22no—
258C2×C4×C47—24no—
259C2×C4×C47—24no—
260C2×C4×C47—24no—
261C2×C4×C47—24no—
262C2×C4×C47—24no—
263C2×C4×C47—24no—
264C2×C4×C47—416no—
265C2×C4×C47—42no—
266C2×C4×C47—42no—
267C2×C4×C47—42no—
268C2×C4×C47—42no—
269C2×C4×C47—42no—
270C2×C4×C47—42no—
271C2×C4×C47—42no—
272C2×C4×C47—42no—
273C2×C4×C47C2×C4214yes—
274C2×Dic47—24no—
275C2×Dic47—24no—
276C2×Dic47—24no—
277C2×Dic47—24no—
278C2×Dic47—24no—
279C2×Dic47—24no—
280C2×Dic47—24no—
281C2×Dic47—24no—
282C2×Dic47—24no—
283C2×Dic47—24no—
284C2×Dic47—24no—
285C2×Dic47—24no—
286C2×Dic47—416no—
287C2×Dic47—42no—
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×Dic47—42no—
298C2×Dic47—42no—
299C2×Dic47—42no—
300C2×Dic47—42no—
301C2×Dic47—42no—
302C2×Dic47—42no—
303#13832—471nomaximal, Sylow
304C22×C47—24no—
305C22×C47—24no—
306C22×C47—28no—
307C22×C47—28no—
308C22×C47—42no—
309C22×C47—42no—
310C22×C47—42no—
311C22×C47—42no—
312C22×C47—42no—
313C22×C47—42no—
314C22×C47—42no—
315C22×C47—42no—
316C22×C47—44no—
317C22×C47—44no—
318C22×C47—44no—
319C22×C47—44no—
320C22×C47—44no—
321C22×C47—44no—
322C22×C47—42no—
323C22×C47—42no—
324C22×C47—42no—
325C22×C47—42no—
326C22×C47C22×C4211yescharacteristic
327C22×C47#51812yes—
328C22×C47#51812yes—
329C22×C47#51811yescharacteristic
330C22×C47#51811yescharacteristic
331C22×C47#51811yescharacteristic
332C22×C47#51811yescharacteristic
333C22×C47#51811yescharacteristic
334C22×C47#51812yes—
335C22×C47#51811yescharacteristic
336C22×C47#52012yes—
337C22×C47#52012yes—
338C22×C47#52012yes—
339C22×C47#56012yes—
340C22×C47#56012yes—
341C22×C47#56011yescharacteristic
342C22×C47#56012yes—
343C22×C47#56011yescharacteristic
344C22×C47H(3,𝔽4)11yescharacteristic
345C22×C47#56212yes—
346C22×C47#56212yes—
347C22×C47#56212yes—
348C22×C47#56311yescharacteristic
349C4×C47—24no—
350C4×C47—44no—
351C4×C47—44no—
352Dic47—44no—
353Dic47—44no—
354Dic47—44no—
355Dic47—44no—
356C2×#390—471no—
357C2×#386—471no—
358C2×#386D4711yescharacteristic
359#1437—472no—
360#1437—472no—
361#1436—472no—
362#1434—472no—
363C22⋊#95—472no—
364C22⋊#95—472no—
365C2×C47—44no—
366C2×C47—44no—
367C2×C47#227311yescharacteristic
368C2×C47#227512yes—
369C2×C47#237511yescharacteristic
370C2×C47#237511yescharacteristic
371C2×C47#237611yescharacteristic
372C2×C47#237611yescharacteristic
373C2×C47#237712yes—
374C2×C47#237712yes—
375C2×C47#237712yes—
376C2×C47#237911yescharacteristic
377C2×C47#238011yescharacteristic
378C23×D4C2×D4711yescharacteristic
379C24×C4—471no—
380C24×C4C2×D4711yescharacteristic
381C22×C4⋊C4—471no—
382C22×C22⋊C4—472no—
383C22×C22⋊C4—472no—
384C22×C22⋊C4—472no—
385C22×C22⋊C4—471no—
386C22×C22⋊C4C2×D4712yes—
387C22×C22⋊C4C2×D4711yescharacteristic
388C22×C42—471no—
389C22×C42—472no—
390#390—478no—
391#386—478no—
392#386Dic4718yescomplemented
393C2×#95—472no—
394C2×#95—472no—
395C2×#95—472no—
396C2×#95—472no—
397C2×#95—472no—
398C2×#95—472no—
399C2×#95—472no—
400C2×#95—472no—
401C2×#95C2×D4712yes—
402C47#1383211yescharacteristic, complemented, Sylow
403C25C22×D4711yescharacteristic
404C25C22×D4711yescharacteristic
405C22×D4—41no—
406C22×D4—41no—
407C22×D4—41no—
408C22×D4—41no—
409C22×D4C4×D4714yes—
410C22×D4C4×D4714yes—
411C22×D4C2×Dic4714yes—
412C23×C4—41no—
413C23×C4—41no—
414C23×C4—42no—
415C23×C4—42no—
416C23×C4—472no—
417C23×C4—472no—
418C23×C4—472no—
419C23×C4—472no—
420C23×C4—474no—
421C23×C4—1881no—
422C23×C4—1881no—
423C23×C4—1882no—
424C23×C4—1882no—
425C23×C4C2×Dic4714yescomplemented
426C23×C4C22×D4712yes—
427C23×C4C22×D4712yes—
428C23×C4C22×D4711yescharacteristic
429C2×C4⋊C4—474no—
430C2×C4⋊C4—1881no—
431C2×C4⋊C4—1881no—
432C2×C22⋊C4—42no—
433C2×C22⋊C4—42no—
434C2×C22⋊C4—41no—
435C2×C22⋊C4—41no—
436C2×C22⋊C4—478no—
437C2×C22⋊C4—474no—
438C2×C22⋊C4—478no—
439C2×C22⋊C4—478no—
440C2×C22⋊C4—1881no—
441C2×C22⋊C4—1882no—
442C2×C22⋊C4—1882no—
443C2×C22⋊C4—1881no—
444C2×C22⋊C4—1882no—
445C2×C22⋊C4—1882no—
446C2×C22⋊C4—1882no—
447C2×C22⋊C4—1882no—
448C2×C22⋊C4C2×Dic4718yes—
449C2×C22⋊C4C2×Dic4714yescomplemented
450C2×C42—474no—
451C2×C42—1881no—
452C2×C42—1881no—
453C2×C42—1882no—
454C2×C42—1882no—
455C2×C42—1882no—
456#95—478no—
457#95—1882no—
458#95—1882no—
459#95—1882no—
460#95—1882no—
461#95—1882no—
462#95—1882no—
463#95—1882no—
464#95C2×Dic4718yescomplemented
465C24—22no—
466C24—22no—
467C24—21no—
468C24—21no—
469C24—22no—
470C24—22no—
471C24—21no—
472C24—21no—
473C24—21no—
474C24—21no—
475C24—21no—
476C24—21no—
477C24—22no—
478C24—22no—
479C24—22no—
480C24—22no—
481C24C2×C4×D4712yes—
482C24C2×C4×D4712yes—
483C24C2×C4×D4712yes—
484C24C2×C4×D4712yes—
485C24C22×Dic4712yes—
486C24C22×Dic4712yes—
487C24C23×D4711yescharacteristic
488C2×D4—44no—
489C2×D4—44no—
490C2×D4—44no—
491C2×D4—44no—
492C2×D4—44no—
493C2×D4—44no—
494C2×D4C4×Dic47116yescomplemented
495C22×C4—21no—
496C22×C4—21no—
497C22×C4—21no—
498C22×C4—21no—
499C22×C4—22no—
500C22×C4—22no—
501C22×C4—22no—
502C22×C4—22no—
503C22×C4—22no—
504C22×C4—22no—
505C22×C4—22no—
506C22×C4—22no—
507C22×C4—22no—
508C22×C4—22no—
509C22×C4—22no—
510C22×C4—22no—
511C22×C4—48no—
512C22×C4—44no—
513C22×C4—44no—
514C22×C4—48no—
515C22×C4—44no—
516C22×C4—474no—
517C22×C4—474no—
518C22×C4—474no—
519C22×C4—474no—
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—942no—
529C22×C4—942no—
530C22×C4—942no—
531C22×C4—942no—
532C22×C4—942no—
533C22×C4—942no—
534C22×C4—942no—
535C22×C4—942no—
536C22×C4—942no—
537C22×C4—942no—
538C22×C4—942no—
539C22×C4—942no—
540C22×C4—942no—
541C22×C4—942no—
542C22×C4—942no—
543C22×C4—942no—
544C22×C4—1888no—
545C22×C4—1884no—
546C22×C4—1888no—
547C22×C4—1884no—
548C22×C4—1884no—
549C22×C4C2×C4×D4712yes—
550C22×C4C2×C4×D4712yes—
551C22×C4C22×Dic4714yes—
552C22×C4C22×Dic4714yes—
553C22×C4C22×Dic4712yes—
554C4⋊C4—1884no—
555C22⋊C4—48no—
556C22⋊C4—44no—
557C22⋊C4—1888no—
558C22⋊C4—1888no—
559C22⋊C4—1888no—
560C22⋊C4—1884no—
561C42—1884no—
562C42—1888no—
563C23—24no—
564C23—24no—
565C23—24no—
566C23—24no—
567C23—22no—
568C23—22no—
569C23—22no—
570C23—22no—
571C23—22no—
572C23—22no—
573C23—22no—
574C23—22no—
575C23—22no—
576C23—24no—
577C23—22no—
578C23—24no—
579C23—22no—
580C23—22no—
581C23—24no—
582C23—24no—
583C23—24no—
584C23—24no—
585C23—24no—
586C23—24no—
587C23—42no—
588C23—42no—
589C23—42no—
590C23—42no—
591C23—41no—
592C23—42no—
593C23—41no—
594C23—42no—
595C23—41no—
596C23—41no—
597C23—41no—
598C23—41no—
599C23—42no—
600C23—42no—
601C23—42no—
602C23—42no—
603C23—42no—
604C23—42no—
605C23—41no—
606C23—41no—
607C23C2×C4×Dic4714yes—
608C23C2×C4×Dic4714yes—
609C23C22×C4×D4711yescharacteristic
610C23C22×C4×D4711yescharacteristic
611C23C23×Dic4711yescharacteristic
612C23#1309406912yes—
613C23#1309406912yes—
614C23#1309406911yescharacteristic
615C23#1309406911yescharacteristic
616C23#1309406911yescharacteristic
617C23#1309406911yescharacteristic
618C23#1309407012yes—
619C23#1309407112yes—
620D4—416no—
621C2×C4—22no—
622C2×C4—22no—
623C2×C4—22no—
624C2×C4—22no—
625C2×C4—22no—
626C2×C4—22no—
627C2×C4—24no—
628C2×C4—24no—
629C2×C4—24no—
630C2×C4—24no—
631C2×C4—24no—
632C2×C4—24no—
633C2×C4—416no—
634C2×C4—42no—
635C2×C4—42no—
636C2×C4—42no—
637C2×C4—42no—
638C2×C4—42no—
639C2×C4—42no—
640C2×C4—42no—
641C2×C4—42no—
642C2×C4—944no—
643C2×C4—944no—
644C2×C4—944no—
645C2×C4—944no—
646C2×C4—944no—
647C2×C4—944no—
648C2×C4—944no—
649C2×C4—944no—
650C2×C4—944no—
651C2×C4—944no—
652C2×C4—944no—
653C2×C4—944no—
654C2×C4—18816no—
655C2×C4—1882no—
656C2×C4—1882no—
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×C4—1882no—
669C2×C4—1882no—
670C2×C4—1882no—
671C2×C4C2×C4×Dic4714yes—
672C22—24no—
673C22—24no—
674C22—28no—
675C22—28no—
676C22—42no—
677C22—42no—
678C22—42no—
679C22—42no—
680C22—42no—
681C22—42no—
682C22—44no—
683C22—44no—
684C22—44no—
685C22—44no—
686C22—44no—
687C22—44no—
688C22—42no—
689C22—42no—
690C22—42no—
691C22—42no—
692C22—42no—
693C22—42no—
694C22C22×C4×Dic4711yescharacteristic
695C22#1568959512yes—
696C22#1568959512yes—
697C22#1568959611yescharacteristic
698C22#1568959611yescharacteristic
699C22#1568959611yescharacteristic
700C22#1568959611yescharacteristic
701C22#1568959811yescharacteristic
702C22#1568959812yes—
703C22#1568959811yescharacteristic
704C22#1568960212yes—
705C22#1568960212yes—
706C22#1568960612yes—
707C22#1568986112yes—
708C22#1568986112yes—
709C22#1568986211yescharacteristic
710C22#1568986212yes—
711C22#1568986311yescharacteristic
712C22#1568986611yescharacteristic
713C22#1568986812yes—
714C22#1568986812yes—
715C22#1568987012yes—
716C22#1568987611yescharacteristic
717C4—24no—
718C4—44no—
719C4—44no—
720C4—1884no—
721C4—1884no—
722C4—1884no—
723C4—1884no—
724C2—44no—
725C2—44no—
726C2#2024574111yescharacteristic
727C2#2024574912yes—
728C2#2024652611yescharacteristic
729C2#2024652911yescharacteristic
730C2#2024653111yescharacteristic
731C2#2024653611yescharacteristic
732C2#2024654012yes—
733C2#2024654512yes—
734C2#2024654612yes—
735C2#2024655811yescharacteristic
736C2#2024656311yescharacteristic
subgroupG/H
center, FrattiniC24C23×D47
commutatorC22×C47C22×C42
FittingC2×C47×#386C2
socle, cosocleC24×C47C24
prime radicalC23×D4×C47C22
hypercenterC2×#386D47
hypocenterC47#13832
LCSG ▷ C22×C47 ▷ C47
UCSC1 ◁ C24 ◁ C2×#386

Complements

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

NH ≅ G/Ntype
3. #20241625C2semidirect
4. #20241625C2semidirect
5. #20241622C2semidirect
6. #20241613C2semidirect
7. #20241611C2semidirect
8. #20241610C2semidirect
18. #15689026C4semidirect
19. #15689003C4semidirect
32. C47×#386C4semidirect
38. C23×Dic47C2×C4semidirect
45. C2×C4⋊Dic47C2×C4semidirect
55. C2×C22⋊Dic47C2×C4semidirect
56. C2×C22⋊Dic47C2×C4semidirect
57. C2×C22⋊Dic47C2×C4semidirect
63. C2×C4×Dic47C2×C4semidirect
71. C47⋊#95C2×C4semidirect
85. C23×C4×C47C2×C4semidirect
94. C2×C22⋊C4×C47C2×C4semidirect
95. #95×C47C2×C4semidirect
125. C2×D4×C47C42semidirect
392. #386Dic47semidirect
402. C47#13832semidirect
425. C23×C4C2×Dic47semidirect
449. C2×C22⋊C4C2×Dic47semidirect
464. #95C2×Dic47semidirect
494. C2×D4C4×Dic47semidirect

Maximal subgroups

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

subgroupindex
C2×#156890262
C2×#156890032
#202416252
#202416222
#202416132
#202416112
#202416102
C2×C47×#3862
#1383247