Finite Group Databasebeta

← C2×#20247903 #26385399

Subgroups — C2×#20247903 #26385399

Order 12032.

2358 conjugacy classes of subgroups.

The subgroup lattice has 668 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×#13094014C211yesmaximal, characteristic
2#20247903C2116yesmaximal, direct product factor
3C2×#15689062C211yesmaximal, characteristic
4C2×#15689061C211yesmaximal, characteristic
5C2×#15689056C211yesmaximal, characteristic
6C2×#15689056C211yesmaximal, characteristic
7C2×#15689018C211yesmaximal, characteristic
8C2×#15689018C211yesmaximal, characteristic
9C2×#15689018C211yesmaximal, characteristic
10C2×#15689018C211yesmaximal, characteristic
11C2×#15689007C211yesmaximal, characteristic
12C2×#15689004C211yesmaximal, characteristic
13C2×#15688992C211yesmaximal, characteristic
14C2×C4⋊C4×Dic47C211yesmaximal, characteristic
15C2×C4×Dic47⋊C4C211yesmaximal, characteristic
16C22×#125×C47C211yesmaximal, characteristic
17C2×#13094014—28no—
18C2×#13094014C2218yes—
19C22×C4⋊Dic47C2211yescharacteristic
20C22×C4⋊Dic47C2211yescharacteristic
21C22×Dic47⋊C4C2211yescharacteristic
22C22×Dic47⋊C4C2211yescharacteristic
23C22×Dic47⋊C4C2211yescharacteristic
24C22×Dic47⋊C4C2211yescharacteristic
25C22×Dic47⋊C4C2211yescharacteristic
26C22×Dic47⋊C4C2211yescharacteristic
27C22×Dic47⋊C4C2211yescharacteristic
28C22×Dic47⋊C4C2211yescharacteristic
29C22×Dic47⋊C4C2211yescharacteristic
30C22×Dic47⋊C4C2211yescharacteristic
31C22×C4×Dic47C2211yescharacteristic
32C22×C4×Dic47C2211yescharacteristic
33C22×C4×Dic47C2211yescharacteristic
34C22×C4×Dic47C2211yescharacteristic
35#15689062C2218yes—
36#15689061C2218yes—
37#15689056C2218yes—
38#15689056C2218yes—
39#15689018C2218yes—
40#15689018C2218yes—
41#15689018C2218yes—
42#15689018C2218yes—
43#15689007C2218yes—
44#15689004C2218yes—
45#15688992C2218yes—
46C4⋊C4×Dic47C2218yes—
47C4×Dic47⋊C4C2218yes—
48C2×C47⋊#95C2211yescharacteristic
49C2×C47⋊#95C2211yescharacteristic
50C2×C47⋊#95C2211yescharacteristic
51C2×C47⋊#95C2211yescharacteristic
52C2×C47⋊#95C2211yescharacteristic
53C2×C47⋊#95C2211yescharacteristic
54C2×C47⋊#95C2211yescharacteristic
55C2×C47⋊#95C2211yescharacteristic
56C2×C47⋊#95C2211yescharacteristic
57C2×C47⋊#95C2211yescharacteristic
58C2×C47⋊#95C2211yescharacteristic
59C2×C47⋊#95C2211yescharacteristic
60C2×#125×C47—28no—
61C2×#125×C47C2218yes—
62C22×C4⋊C4×C47C2211yescharacteristic
63C22×C4⋊C4×C47C2211yescharacteristic
64C22×C4⋊C4×C47C2211yescharacteristic
65C22×C4⋊C4×C47C2211yescharacteristic
66C22×C4⋊C4×C47C2211yescharacteristic
67C22×C4⋊C4×C47C2211yescharacteristic
68C22×C42×C47C2211yescharacteristic
69C23×Dic47C2311yescharacteristic
70C23×Dic47C2311yescharacteristic
71C23×Dic47C2311yescharacteristic
72C23×Dic47C2311yescharacteristic
73C23×Dic47C2311yescharacteristic
74C23×Dic47C2311yescharacteristic
75C23×Dic47C2311yescharacteristic
76C23×Dic47C2311yescharacteristic
77#13094014—232no—
78C2×C4⋊Dic47—24no—
79C2×C4⋊Dic47—24no—
80C2×C4⋊Dic47C2314yes—
81C2×C4⋊Dic47C2314yes—
82C2×Dic47⋊C4—24no—
83C2×Dic47⋊C4—24no—
84C2×Dic47⋊C4—24no—
85C2×Dic47⋊C4—24no—
86C2×Dic47⋊C4—24no—
87C2×Dic47⋊C4—24no—
88C2×Dic47⋊C4—24no—
89C2×Dic47⋊C4—24no—
90C2×Dic47⋊C4—24no—
91C2×Dic47⋊C4Q818yes—
92C2×Dic47⋊C4C2314yes—
93C2×Dic47⋊C4C2314yes—
94C2×Dic47⋊C4C2314yes—
95C2×Dic47⋊C4C2314yes—
96C2×Dic47⋊C4C2314yes—
97C2×Dic47⋊C4C2314yes—
98C2×Dic47⋊C4C2314yes—
99C2×Dic47⋊C4C2314yes—
100C2×Dic47⋊C4C2314yes—
101C2×Dic47⋊C4C2314yes—
102C2×C4×Dic47—24no—
103C2×C4×Dic47—24no—
104C2×C4×Dic47—24no—
105C2×C4×Dic47—24no—
106C2×C4×Dic47C2314yes—
107C2×C4×Dic47C2314yes—
108C2×C4×Dic47C2314yes—
109C2×C4×Dic47C2314yes—
110C47⋊#95C2314yes—
111C47⋊#95C2314yes—
112C47⋊#95C2314yes—
113C47⋊#95C2314yes—
114C47⋊#95C2314yes—
115C47⋊#95C2314yes—
116C47⋊#95C2314yes—
117C47⋊#95C2314yes—
118C47⋊#95C2314yes—
119C47⋊#95C2314yes—
120C47⋊#95C2314yes—
121C47⋊#95C2314yes—
122C23×C4×C47C2311yescharacteristic
123C23×C4×C47C2311yescharacteristic
124C23×C4×C47C2311yescharacteristic
125C23×C4×C47C2311yescharacteristic
126C23×C4×C47C2311yescharacteristic
127C23×C4×C47C2311yescharacteristic
128C23×C4×C47C2311yescharacteristic
129#125×C47—232no—
130C2×C4⋊C4×C47—24no—
131C2×C4⋊C4×C47—24no—
132C2×C4⋊C4×C47—24no—
133C2×C4⋊C4×C47—24no—
134C2×C4⋊C4×C47—24no—
135C2×C4⋊C4×C47D418yes—
136C2×C4⋊C4×C47C2314yes—
137C2×C4⋊C4×C47C2314yes—
138C2×C4⋊C4×C47C2314yes—
139C2×C4⋊C4×C47C2314yes—
140C2×C4⋊C4×C47C2314yes—
141C2×C4⋊C4×C47C2314yes—
142C2×C42×C47—24no—
143C2×C42×C47C2314yes—
144C24×C47C2411yescharacteristic
145C22×C4×C47—22no—
146C22×C4×C47—22no—
147C22×C4×C47—22no—
148C22×C4×C47—22no—
149C22×C4×C47—22no—
150C22×C4×C47—22no—
151C22×C4×C47—22no—
152C22×C4×C47—22no—
153C22×C4×C47—22no—
154C22×C4×C47—22no—
155C22×C4×C47—22no—
156C22×C4×C47—22no—
157C22×C4×C47—22no—
158C22×C4×C47—22no—
159C22×C4×C47—22no—
160C22×C4×C47—22no—
161C22×C4×C47—22no—
162C22×C4×C47C2×D414yes—
163C22×C4×C47C2×D414yes—
164C22×C4×C47C2×D414yes—
165C22×C4×C47C2×Q814yes—
166C22×C4×C47C2412yes—
167C22×C4×C47C2412yes—
168C22×C4×C47C2412yes—
169C22×C4×C47C2412yes—
170C22×C4×C47C2412yes—
171C22×C4×C47C2412yes—
172C22×C4×C47C2412yes—
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×Dic47—22no—
187C22×Dic47—22no—
188C22×Dic47—22no—
189C22×Dic47—22no—
190C22×Dic47—22no—
191C22×Dic47—22no—
192C22×Dic47C2×Q814yes—
193C22×Dic47C2×Q814yes—
194C22×Dic47#4114yes—
195C22×Dic47#4114yes—
196C22×Dic47#4114yes—
197C22×Dic47C2412yes—
198C22×Dic47C2412yes—
199C22×Dic47C2412yes—
200C22×Dic47C2412yes—
201C22×Dic47C2412yes—
202C22×Dic47C2412yes—
203C22×Dic47C2412yes—
204C22×Dic47C2412yes—
205C4⋊C4×C47—28no—
206C4⋊C4×C47—28no—
207C4⋊C4×C47—28no—
208C4⋊C4×C47—28no—
209C4⋊C4×C47—28no—
210C4⋊C4×C47C2×D4116yes—
211C42×C47—28no—
212C4⋊Dic47—28no—
213C4⋊Dic47—28no—
214Dic47⋊C4—28no—
215Dic47⋊C4—28no—
216Dic47⋊C4—28no—
217Dic47⋊C4—28no—
218Dic47⋊C4—28no—
219Dic47⋊C4—28no—
220Dic47⋊C4—28no—
221Dic47⋊C4—28no—
222Dic47⋊C4—28no—
223Dic47⋊C4C2×Q8116yes—
224C4×Dic47—28no—
225C4×Dic47—28no—
226C4×Dic47—28no—
227C4×Dic47—28no—
228C23×C47C22×D412yes—
229C23×C47C22×Q812yes—
230C23×C47C2×#4112yes—
231C23×C47C2×#4112yes—
232C23×C47C2×#4112yes—
233C23×C472−1+412yes—
234C23×C472−1+412yes—
235C23×C47C2511yescharacteristic
236C2×C4×C47—28no—
237C2×C4×C47—28no—
238C2×C4×C47—28no—
239C2×C4×C47—28no—
240C2×C4×C47—22no—
241C2×C4×C47—22no—
242C2×C4×C47—22no—
243C2×C4×C47—22no—
244C2×C4×C47—22no—
245C2×C4×C47—22no—
246C2×C4×C47—22no—
247C2×C4×C47—22no—
248C2×C4×C47—22no—
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—22no—
256C2×C4×C47—22no—
257C2×C4×C47—44no—
258C2×C4×C47—44no—
259C2×C4×C47—44no—
260C2×C4×C47C22×D414yes—
261C2×C4×C47C22×D414yes—
262C2×C4×C47C22×D414yes—
263C2×C4×C47C22×Q814yes—
264C2×Dic47—28no—
265C2×Dic47—28no—
266C2×Dic47—22no—
267C2×Dic47—22no—
268C2×Dic47—22no—
269C2×Dic47—22no—
270C2×Dic47—22no—
271C2×Dic47—22no—
272C2×Dic47—22no—
273C2×Dic47—22no—
274C2×Dic47—22no—
275C2×Dic47—22no—
276C2×Dic47—22no—
277C2×Dic47—22no—
278C2×Dic47—22no—
279C2×Dic47—22no—
280C2×Dic47—22no—
281C2×Dic47—22no—
282C2×Dic47—22no—
283C2×Dic47—22no—
284C2×Dic47—22no—
285C2×Dic47—44no—
286C2×Dic47—44no—
287C2×Dic47—44no—
288C2×Dic47—44no—
289C2×Dic47—44no—
290C2×Dic47#125116yescomplemented
291C2×Dic47C22×Q814yes—
292C2×Dic47C22×Q814yes—
293C2×Dic47C2×#4114yes—
294C2×Dic47C2×#4114yes—
295C2×Dic47C2×#4114yes—
296C2×#2506—471nomaximal, Sylow
297C22×C47C2×#12514yes—
298C22×C47#53214yes—
299C22×C47#54114yes—
300C22×C47#54714yes—
301C22×C47D4×Q814yes—
302C22×C47#55214yes—
303C22×C47#55714yes—
304C22×C47C23×D411yescharacteristic
305C22×C47C23×Q811yescharacteristic
306C22×C47C22×#4111yescharacteristic
307C22×C47C22×#4111yescharacteristic
308C22×C47C22×#4111yescharacteristic
309C22×C47C2×2−1+411yescharacteristic
310C22×C47C2×2−1+411yescharacteristic
311C4×C47—24no—
312C4×C47—24no—
313C4×C47—24no—
314C4×C47—24no—
315C4×C47—42no—
316C4×C47—42no—
317C4×C47—42no—
318Dic47—24no—
319Dic47—24no—
320Dic47—42no—
321Dic47—42no—
322Dic47—42no—
323Dic47—42no—
324Dic47—42no—
325Dic47C2×#12518yescomplemented
326C22×#125—471no—
327C22×#125D4711yescharacteristic
328#2506—4716no—
329C2×#400—471no—
330C2×#400—471no—
331C2×#398—471no—
332C2×#398—471no—
333C2×#389—471no—
334C2×#389—471no—
335C2×#389—471no—
336C2×#389—471no—
337C2×#387—471no—
338C2×#387—471no—
339C2×#384—471no—
340C2×C4×C4⋊C4—471no—
341C2×C4×C4⋊C4—471no—
342C2×C47#250618yescomplemented
343C2×C47C22×#12511yescharacteristic
344C2×C47C2×#53211yescharacteristic
345C2×C47C2×#54111yescharacteristic
346C2×C47C2×#54711yescharacteristic
347C2×C47C2×D4×Q811yescharacteristic
348C2×C47C2×#55211yescharacteristic
349C2×C47C2×#55711yescharacteristic
350C2×#125—28no—
351C2×#125—478no—
352C2×#125—948no—
353C2×#125C2×D4718yes—
354C22×C4⋊C4—471no—
355C22×C4⋊C4—471no—
356C22×C4⋊C4—471no—
357C22×C4⋊C4—471no—
358C22×C4⋊C4—471no—
359C22×C4⋊C4—471no—
360C22×C4⋊C4—471no—
361C22×C4⋊C4—471no—
362C22×C4⋊C4—471no—
363C22×C4⋊C4—471no—
364C22×C4⋊C4—471no—
365C22×C4⋊C4—471no—
366C22×C4⋊C4C2×D4711yescharacteristic
367C22×C4⋊C4C2×D4711yescharacteristic
368C22×C4⋊C4C2×D4711yescharacteristic
369C22×C4⋊C4C2×D4711yescharacteristic
370C22×C4⋊C4C2×D4711yescharacteristic
371C22×C4⋊C4C2×D4711yescharacteristic
372C22×C42—471no—
373C22×C42—471no—
374C22×C42—471no—
375C22×C42—471no—
376C22×C42C2×D4711yescharacteristic
377#400—478no—
378#400—478no—
379#398—478no—
380#398—478no—
381#389—478no—
382#389—478no—
383#389—478no—
384#389—478no—
385#387—478no—
386#387—478no—
387#384—478no—
388C4×C4⋊C4—478no—
389C4×C4⋊C4—478no—
390C2×#95—471no—
391C2×#95—471no—
392C2×#95—471no—
393C2×#95—471no—
394C2×#95—471no—
395C2×#95—471no—
396C2×#95—471no—
397C2×#95—471no—
398C2×#95—471no—
399C2×#95—471no—
400C2×#95—471no—
401C2×#95—471no—
402C47C2×#250611yescharacteristic, complemented, Sylow
403C23×C4—471no—
404C23×C4—471no—
405C23×C4—471no—
406C23×C4—471no—
407C23×C4—471no—
408C23×C4—471no—
409C23×C4—471no—
410C23×C4—471no—
411C23×C4C22×D4711yescharacteristic
412C23×C4C22×D4711yescharacteristic
413C23×C4C22×D4711yescharacteristic
414C23×C4C22×D4711yescharacteristic
415C23×C4C22×D4711yescharacteristic
416C23×C4C22×D4711yescharacteristic
417C23×C4C22×D4711yescharacteristic
418#125—232no—
419#125—9432no—
420C2×C4⋊C4—24no—
421C2×C4⋊C4—24no—
422C2×C4⋊C4—24no—
423C2×C4⋊C4—24no—
424C2×C4⋊C4—24no—
425C2×C4⋊C4—478no—
426C2×C4⋊C4—474no—
427C2×C4⋊C4—474no—
428C2×C4⋊C4—474no—
429C2×C4⋊C4—474no—
430C2×C4⋊C4—474no—
431C2×C4⋊C4—474no—
432C2×C4⋊C4—474no—
433C2×C4⋊C4—474no—
434C2×C4⋊C4—474no—
435C2×C4⋊C4—474no—
436C2×C4⋊C4—474no—
437C2×C4⋊C4—474no—
438C2×C4⋊C4—944no—
439C2×C4⋊C4—944no—
440C2×C4⋊C4—944no—
441C2×C4⋊C4—944no—
442C2×C4⋊C4—944no—
443C2×C4⋊C4—944no—
444C2×C4⋊C4—944no—
445C2×C4⋊C4—944no—
446C2×C4⋊C4—944no—
447C2×C4⋊C4—944no—
448C2×C4⋊C4—944no—
449C2×C4⋊C4C22⋊D4718yes—
450C2×C4⋊C4C22×D4714yes—
451C2×C4⋊C4C22×D4714yes—
452C2×C4⋊C4C22×D4714yes—
453C2×C4⋊C4C22×D4714yes—
454C2×C4⋊C4C22×D4714yes—
455C2×C4⋊C4C22×D4714yes—
456C2×C42—24no—
457C2×C42—474no—
458C2×C42—474no—
459C2×C42—474no—
460C2×C42—474no—
461C2×C42—944no—
462C2×C42—944no—
463C2×C42—944no—
464C2×C42—944no—
465C2×C42C22×D4714yes—
466#95—474no—
467#95—474no—
468#95—474no—
469#95—474no—
470#95—474no—
471#95—474no—
472#95—474no—
473#95—474no—
474#95—474no—
475#95—474no—
476#95—474no—
477#95—474no—
478C24C23×D4711yescharacteristic
479C22×C4—22no—
480C22×C4—22no—
481C22×C4—22no—
482C22×C4—22no—
483C22×C4—22no—
484C22×C4—22no—
485C22×C4—22no—
486C22×C4—22no—
487C22×C4—22no—
488C22×C4—22no—
489C22×C4—22no—
490C22×C4—22no—
491C22×C4—22no—
492C22×C4—22no—
493C22×C4—22no—
494C22×C4—22no—
495C22×C4—22no—
496C22×C4—474no—
497C22×C4—474no—
498C22×C4—474no—
499C22×C4—472no—
500C22×C4—474no—
501C22×C4—474no—
502C22×C4—472no—
503C22×C4—472no—
504C22×C4—472no—
505C22×C4—472no—
506C22×C4—472no—
507C22×C4—472no—
508C22×C4—472no—
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×C4Q8×D4714yes—
529C22×C4C2×C22⋊D4714yes—
530C22×C4C2×C22⋊D4714yes—
531C22×C4C2×C22⋊D4714yes—
532C22×C4C23×D4712yes—
533C22×C4C23×D4712yes—
534C22×C4C23×D4712yes—
535C22×C4C23×D4712yes—
536C22×C4C23×D4712yes—
537C22×C4C23×D4712yes—
538C22×C4C23×D4712yes—
539C4⋊C4—28no—
540C4⋊C4—28no—
541C4⋊C4—28no—
542C4⋊C4—28no—
543C4⋊C4—28no—
544C4⋊C4—4716no—
545C4⋊C4—948no—
546C4⋊C4—948no—
547C4⋊C4—948no—
548C4⋊C4—948no—
549C4⋊C4—948no—
550C4⋊C4—948no—
551C4⋊C4—948no—
552C4⋊C4—948no—
553C4⋊C4—948no—
554C4⋊C4—948no—
555C4⋊C4—948no—
556C4⋊C4C2×C22⋊D47116yes—
557C42—28no—
558C42—948no—
559C42—948no—
560C42—948no—
561C42—948no—
562C23C22×C22⋊D4712yes—
563C23C2×Q8×D4712yes—
564C23#41×D4712yes—
565C23#41×D4712yes—
566C23#41×D4712yes—
567C23#1309407112yes—
568C23#1309407212yes—
569C23C24×D4711yescharacteristic
570C2×C4—28no—
571C2×C4—28no—
572C2×C4—28no—
573C2×C4—28no—
574C2×C4—22no—
575C2×C4—22no—
576C2×C4—22no—
577C2×C4—22no—
578C2×C4—22no—
579C2×C4—22no—
580C2×C4—22no—
581C2×C4—22no—
582C2×C4—22no—
583C2×C4—22no—
584C2×C4—22no—
585C2×C4—22no—
586C2×C4—22no—
587C2×C4—22no—
588C2×C4—22no—
589C2×C4—22no—
590C2×C4—22no—
591C2×C4—44no—
592C2×C4—44no—
593C2×C4—44no—
594C2×C4—4716no—
595C2×C4—474no—
596C2×C4—474no—
597C2×C4—474no—
598C2×C4—474no—
599C2×C4—474no—
600C2×C4—948no—
601C2×C4—948no—
602C2×C4—942no—
603C2×C4—942no—
604C2×C4—942no—
605C2×C4—942no—
606C2×C4—942no—
607C2×C4—942no—
608C2×C4—942no—
609C2×C4—942no—
610C2×C4—942no—
611C2×C4—942no—
612C2×C4—942no—
613C2×C4—942no—
614C2×C4—942no—
615C2×C4—942no—
616C2×C4—942no—
617C2×C4—942no—
618C2×C4—942no—
619C2×C4—942no—
620C2×C4—942no—
621C2×C4—1884no—
622C2×C4—1884no—
623C2×C4—1884no—
624C2×C4—1884no—
625C2×C4—1884no—
626C2×C4C22×C22⋊D4714yes—
627C2×C4C22×C22⋊D4714yes—
628C2×C4C22×C22⋊D4714yes—
629C2×C4C2×Q8×D4714yes—
630C22#125×D4714yes—
631C22#1568966914yes—
632C22#1568973214yes—
633C22#1568977214yes—
634C22Q8×C22⋊D4714yes—
635C22#1568980514yes—
636C22#1568985014yes—
637C22C23×C22⋊D4711yescharacteristic
638C22C22×Q8×D4711yescharacteristic
639C22C2×#41×D4711yescharacteristic
640C22C2×#41×D4711yescharacteristic
641C22C2×#41×D4711yescharacteristic
642C22C2×#1309407111yescharacteristic
643C22C2×#1309407211yescharacteristic
644C4—24no—
645C4—24no—
646C4—24no—
647C4—24no—
648C4—42no—
649C4—42no—
650C4—42no—
651C4—478no—
652C4—944no—
653C4—944no—
654C4—1882no—
655C4—1882no—
656C4—1882no—
657C4—1882no—
658C4—1882no—
659C2#2024790318yesdirect product factor
660C2C2×#125×D4711yescharacteristic
661C2C2×#1568966911yescharacteristic
662C2C2×#1568973211yescharacteristic
663C2C2×#1568977211yescharacteristic
664C2C2×Q8×C22⋊D4711yescharacteristic
665C2C2×#1568980511yescharacteristic
666C2C2×#1568985011yescharacteristic
subgroupG/H
centerC24C23×D47
commutator, cosocleC23×C47C25
FrattiniC23C24×D47
FittingC22×#125×C47C2
socle, prime radicalC24×C47C24
hypercenterC22×#125D47
hypocenterC47C2×#2506
LCSG ▷ C23×C47 ▷ C47
UCSC1 ◁ C24 ◁ C22×#125

Complements

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

NH ≅ G/Ntype
2. #20247903C2direct (N × H)
290. C2×Dic47#125semidirect
325. Dic47C2×#125semidirect
342. C2×C47#2506semidirect
402. C47C2×#2506semidirect
659. C2#20247903direct (N × H)

Maximal subgroups

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

subgroupindex
C22×#130940142
#202479032
C2×#156890622
C2×#156890612
C2×#156890562
C2×#156890182
C2×#156890072
C2×#156890042
C2×#156889922
C2×C4⋊C4×Dic472
C2×C4×Dic47⋊C42
C22×#125×C472
C2×#250647