Finite Group Databasebeta

← C2×#20248181 #26386015

Subgroups — C2×#20248181 #26386015

Order 12032.

2246 conjugacy classes of subgroups.

The subgroup lattice has 704 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#20248181C2116yesmaximal, direct product factor
2C2×C47⋊#401C211yesmaximal, characteristic, complemented
3C2×#15689065C211yesmaximal, characteristic, complemented
4C2×#15689049C211yesmaximal, characteristic
5C2×#15689034C211yesmaximal, characteristic
6C2×#15689030C211yesmaximal, characteristic, complemented
7C2×#15689015C211yesmaximal, characteristic
8C2×#15689012C211yesmaximal, characteristic
9C2×#15689009C211yesmaximal, characteristic, complemented
10C2×#15689008C211yesmaximal, characteristic, complemented
11C2×#15689007C211yesmaximal, characteristic, complemented
12C2×#15688997C211yesmaximal, characteristic
13C2×#15688985C211yesmaximal, characteristic
14C2×C4×(C2×D47)⋊C4C211yesmaximal, characteristic
15C2×#15688968C211yesmaximal, characteristic, complemented
16C2×C47×#391C211yesmaximal, characteristic, complemented
17C23×C4×D47C2211yescharacteristic
18C22×C4⋊Dic47C2211yescharacteristic
19C22×C4⋊Dic47C2211yescharacteristic
20C22×Dic47⋊C4C2211yescharacteristic
21C22×Dic47⋊C4C2211yescharacteristic
22C22×(C2×D47)⋊C4C2211yescharacteristic
23C22×(C2×D47)⋊C4C2211yescharacteristic
24C22×(C2×D47)⋊C4C2211yescharacteristic
25C22×(C2×D47)⋊C4C2211yescharacteristic
26C22×(C2×D47)⋊C4C2211yescharacteristic
27C22×(C2×D47)⋊C4C2211yescharacteristic
28C22×C4×Dic47C2211yescharacteristic
29C22×C4×Dic47C2211yescharacteristic
30C22×C4×Dic47C2211yescharacteristic
31C47⋊#401C2218yescomplemented
32#15689065C2218yescomplemented
33#15689049C2218yes—
34#15689034C2218yes—
35#15689030C2218yescomplemented
36#15689015C2218yes—
37#15689012C2218yes—
38#15689009C2218yescomplemented
39#15689008C2218yescomplemented
40#15689007C2218yescomplemented
41#15688997C2218yes—
42#15688985C2218yes—
43C4×(C2×D47)⋊C4C2218yes—
44#15688968C2218yescomplemented
45C2×C47⋊#95C2211yescharacteristic
46C2×C47⋊#95C2211yescharacteristic
47C2×C47⋊#95C2211yescharacteristic
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
59C23×Q8×C47C2211yescharacteristic
60C22×C4⋊C4×C47C2211yescharacteristic
61C22×C42×C47C2211yescharacteristic
62C47×#391C2218yescomplemented
63C2×#95×C47C2211yescharacteristic
64C2×#95×C47C2211yescharacteristic
65C2×#95×C47C2211yescharacteristic
66C2×#95×C47C2211yescharacteristic
67C24×D47C2311yescharacteristic
68C23×Dic47C2311yescharacteristic
69C23×Dic47C2311yescharacteristic
70C23×Dic47C2311yescharacteristic
71C23×Dic47C2311yescharacteristic
72C23×Dic47C2311yescharacteristic
73C23×Dic47C2311yescharacteristic
74C23×Dic47C2311yescharacteristic
75C22×C4×D47—24no—
76C22×C4×D47—24no—
77C22×C4×D47—42no—
78C22×C4×D47C2314yes—
79C2×C4⋊Dic47—24no—
80C2×C4⋊Dic47—42no—
81C2×C4⋊Dic47C2314yes—
82C2×C4⋊Dic47C2314yes—
83C2×Dic47⋊C4—24no—
84C2×Dic47⋊C4—42no—
85C2×Dic47⋊C4C2314yes—
86C2×Dic47⋊C4C2314yes—
87C2×(C2×D47)⋊C4—24no—
88C2×(C2×D47)⋊C4—24no—
89C2×(C2×D47)⋊C4—24no—
90C2×(C2×D47)⋊C4—24no—
91C2×(C2×D47)⋊C4—24no—
92C2×(C2×D47)⋊C4—42no—
93C2×(C2×D47)⋊C4C2314yes—
94C2×(C2×D47)⋊C4C2314yes—
95C2×(C2×D47)⋊C4C2314yes—
96C2×(C2×D47)⋊C4C2314yes—
97C2×(C2×D47)⋊C4C2314yes—
98C2×(C2×D47)⋊C4C2314yes—
99C2×C4×Dic47—24no—
100C2×C4×Dic47—24no—
101C2×C4×Dic47—24no—
102C2×C4×Dic47C2314yes—
103C2×C4×Dic47C2314yes—
104C2×C4×Dic47C2314yes—
105C47⋊#95C2314yes—
106C47⋊#95C2314yes—
107C47⋊#95C2314yes—
108C47⋊#95C2314yes—
109C47⋊#95C2314yes—
110C47⋊#95C2314yes—
111C47⋊#95C2314yes—
112C47⋊#95C2314yes—
113C47⋊#95C2314yes—
114C47⋊#95C2314yes—
115C47⋊#95C2314yes—
116C47⋊#95C2314yes—
117C47⋊#95C2314yes—
118C47⋊#95C2314yes—
119C22×Q8×C47—24no—
120C22×Q8×C47—24no—
121C22×Q8×C47—42no—
122C22×Q8×C47C2314yes—
123C23×C4×C47C2311yescharacteristic
124C23×C4×C47C2311yescharacteristic
125C23×C4×C47C2311yescharacteristic
126C23×C4×C47C2311yescharacteristic
127C23×C4×C47C2311yescharacteristic
128C23×C4×C47C2311yescharacteristic
129C23×C4×C47C2311yescharacteristic
130C2×C4⋊C4×C47—24no—
131C2×C4⋊C4×C47C2314yes—
132C2×C42×C47—42no—
133C2×C42×C47C2314yes—
134#95×C47C2314yes—
135#95×C47C2314yes—
136#95×C47C2314yes—
137#95×C47C2314yes—
138C24×C47C2411yescharacteristic
139C23×D47—22no—
140C23×D47—22no—
141C23×D47—22no—
142C23×D47—22no—
143C23×D47—22no—
144C23×D47—22no—
145C23×D47#4114yes—
146C23×D47C2412yes—
147C2×Q8×C47—28no—
148C2×Q8×C47—28no—
149C2×Q8×C47—44no—
150C2×Q8×C47—416no—
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×C47—22no—
163C22×C4×C47—22no—
164C22×C4×C47—22no—
165C22×C4×C47—22no—
166C22×C4×C47—22no—
167C22×C4×C47—22no—
168C22×C4×C47—22no—
169C22×C4×C47#4114yes—
170C22×C4×C47#4114yes—
171C22×C4×C47#4114yes—
172C22×C4×C47C2412yes—
173C22×C4×C47C2412yes—
174C22×C4×C47C2412yes—
175C22×C4×C47C2412yes—
176C22×C4×C47C2412yes—
177C22×C4×C47C2412yes—
178C22×C4×C47C2412yes—
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×Dic47—22no—
193C22×Dic47—22no—
194C22×Dic47—22no—
195C22×Dic47—22no—
196C22×Dic47—22no—
197C22×Dic47—22no—
198C22×Dic47—22no—
199C22×Dic47#4114yes—
200C22×Dic47C2412yes—
201C22×Dic47C2412yes—
202C22×Dic47C2412yes—
203C22×Dic47C2412yes—
204C22×Dic47C2412yes—
205C22×Dic47C2412yes—
206C22×Dic47C2412yes—
207C2×C4×D47—28no—
208C2×C4×D47—28no—
209C2×C4×D47—44no—
210C2×C4×D47—416no—
211C4⋊C4×C47—28no—
212C42×C47—44no—
213(C2×D47)⋊C4—28no—
214(C2×D47)⋊C4—28no—
215(C2×D47)⋊C4—28no—
216(C2×D47)⋊C4—28no—
217(C2×D47)⋊C4—28no—
218(C2×D47)⋊C4—44no—
219C4⋊Dic47—28no—
220C4⋊Dic47—44no—
221Dic47⋊C4—28no—
222Dic47⋊C4—44no—
223C4×Dic47—28no—
224C4×Dic47—28no—
225C4×Dic47—28no—
226C23×C47C2×#4112yes—
227C23×C47C2×#4112yes—
228C23×C47C2×#4112yes—
229C23×C47C2×#4112yes—
230C23×C47C2×#4112yes—
231C23×C47H(5,𝔽2)12yes—
232C23×C472−1+412yes—
233C23×C47C2511yescharacteristic
234C22×D47—28no—
235C22×D47—28no—
236C22×D47—28no—
237C22×D47—22no—
238C22×D47—22no—
239C22×D47—22no—
240C22×D47—22no—
241C22×D47—22no—
242C22×D47—22no—
243C22×D47—44no—
244C22×D47—44no—
245C22×D47—44no—
246C22×D47—44no—
247C22×D47C2×#4114yes—
248Q8×C47—416no—
249C2×C4×C47—28no—
250C2×C4×C47—28no—
251C2×C4×C47—28no—
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—22no—
259C2×C4×C47—22no—
260C2×C4×C47—22no—
261C2×C4×C47—22no—
262C2×C4×C47—22no—
263C2×C4×C47—22no—
264C2×C4×C47—22no—
265C2×C4×C47—22no—
266C2×C4×C47—22no—
267C2×C4×C47—22no—
268C2×C4×C47—22no—
269C2×C4×C47—22no—
270C2×C4×C47—44no—
271C2×C4×C47—44no—
272C2×C4×C47—44no—
273C2×C4×C47—44no—
274C2×C4×C47C2×#4114yes—
275C2×C4×C47C2×#4114yes—
276C2×C4×C47C2×#4114yes—
277C2×Dic47—28no—
278C2×Dic47—22no—
279C2×Dic47—22no—
280C2×Dic47—22no—
281C2×Dic47—22no—
282C2×Dic47—22no—
283C2×Dic47—22no—
284C2×Dic47—22no—
285C2×Dic47—22no—
286C2×Dic47—22no—
287C2×Dic47—22no—
288C2×Dic47—22no—
289C2×Dic47—22no—
290C2×Dic47—22no—
291C2×Dic47—22no—
292C2×Dic47—22no—
293C2×Dic47—22no—
294C2×Dic47—22no—
295C2×Dic47—22no—
296C2×Dic47—22no—
297C2×Dic47—22no—
298C2×Dic47—44no—
299C2×Dic47—44no—
300C2×Dic47—44no—
301C2×Dic47—44no—
302C2×Dic47—44no—
303C2×Dic47—44no—
304C2×Dic47C2×#4114yes—
305C4×D47—416no—
306C2×#2527—471nomaximal, Sylow
307C22×C47#52914yes—
308C22×C47#52914yes—
309C22×C47#54214yes—
310C22×C47#55114yes—
311C22×C47#55114yes—
312C22×C47#55214yes—
313C22×C47#55614yes—
314C22×C47C22×#4111yescharacteristic
315C22×C47C22×#4111yescharacteristic
316C22×C47C22×#4111yescharacteristic
317C22×C47C22×#4111yescharacteristic
318C22×C47C22×#4111yescharacteristic
319C22×C47C2×H(5,𝔽2)11yescharacteristic
320C22×C47C2×2−1+411yescharacteristic
321C2×D47—24no—
322C2×D47—24no—
323C2×D47—24no—
324C2×D47—42no—
325C2×D47—42no—
326C2×D47—42no—
327C2×D47—42no—
328C2×D47—416no—
329C4×C47—24no—
330C4×C47—24no—
331C4×C47—24no—
332C4×C47—42no—
333C4×C47—42no—
334C4×C47—42no—
335C4×C47—42no—
336Dic47—24no—
337Dic47—42no—
338Dic47—42no—
339Dic47—42no—
340Dic47—42no—
341Dic47—42no—
342Dic47—42no—
343#2527—4716no—
344C2×#401—471no—
345C2×#400—471no—
346C2×#397—471no—
347C2×#393—471no—
348C2×#391—471no—
349C2×#391D4711yescharacteristic, complemented
350C2×#388—471no—
351C2×#388—471no—
352C2×#387—471no—
353C2×#387—471no—
354C2×#387—471no—
355C2×#385—471no—
356C2×#381—471no—
357C2×C4×C22⋊C4—471no—
358C2×#376—471no—
359C2×C47#252718yescomplemented
360C2×C47C2×#52911yescharacteristic
361C2×C47C2×#52911yescharacteristic
362C2×C47C2×#54211yescharacteristic
363C2×C47C2×#55111yescharacteristic
364C2×C47C2×#55111yescharacteristic
365C2×C47C2×#55211yescharacteristic
366C2×C47C2×#55611yescharacteristic
367D47—44no—
368C23×Q8C2×D4711yescharacteristic
369C24×C4—471no—
370C22×C4⋊C4—471no—
371C22×C4⋊C4—471no—
372C22×C4⋊C4—471no—
373C22×C4⋊C4—471no—
374C22×C4⋊C4C2×D4711yescharacteristic
375C22×C22⋊C4—471no—
376C22×C22⋊C4—471no—
377C22×C22⋊C4—471no—
378C22×C22⋊C4—471no—
379C22×C22⋊C4—471no—
380C22×C22⋊C4—471no—
381C22×C42—471no—
382C22×C42—471no—
383C22×C42—471no—
384C22×C42C2×D4711yescharacteristic
385#401—478no—
386#400—478no—
387#397—478no—
388#393—478no—
389#391—478no—
390#391C2×D4718yescomplemented
391#388—478no—
392#388—478no—
393#387—478no—
394#387—478no—
395#387—478no—
396#385—478no—
397#381—478no—
398C4×C22⋊C4—478no—
399#376—478no—
400C2×#95—471no—
401C2×#95—471no—
402C2×#95—471no—
403C2×#95—471no—
404C2×#95—471no—
405C2×#95—471no—
406C2×#95—471no—
407C2×#95—471no—
408C2×#95—471no—
409C2×#95—471no—
410C2×#95—471no—
411C2×#95—471no—
412C2×#95—471no—
413C2×#95—471no—
414C2×#95C2×D4711yescharacteristic
415C2×#95C2×D4711yescharacteristic
416C2×#95C2×D4711yescharacteristic
417C2×#95C2×D4711yescharacteristic
418C47C2×#252711yescharacteristic, complemented, Sylow
419C25—471no—
420C22×Q8—24no—
421C22×Q8—24no—
422C22×Q8—42no—
423C22×Q8C22×D4714yes—
424C23×C4—471no—
425C23×C4—471no—
426C23×C4—471no—
427C23×C4—471no—
428C23×C4—471no—
429C23×C4—471no—
430C23×C4—471no—
431C23×C4—474no—
432C23×C4—944no—
433C23×C4—944no—
434C23×C4—1882no—
435C23×C4C22×D4711yescharacteristic
436C23×C4C22×D4711yescharacteristic
437C23×C4C22×D4711yescharacteristic
438C23×C4C22×D4711yescharacteristic
439C23×C4C22×D4711yescharacteristic
440C23×C4C22×D4711yescharacteristic
441C23×C4C22×D4711yescharacteristic
442C2×C4⋊C4—24no—
443C2×C4⋊C4—474no—
444C2×C4⋊C4—474no—
445C2×C4⋊C4—474no—
446C2×C4⋊C4—474no—
447C2×C4⋊C4—944no—
448C2×C4⋊C4—944no—
449C2×C4⋊C4—1882no—
450C2×C4⋊C4—1882no—
451C2×C4⋊C4C22×D4714yes—
452C2×C22⋊C4—474no—
453C2×C22⋊C4—474no—
454C2×C22⋊C4—474no—
455C2×C22⋊C4—474no—
456C2×C22⋊C4—474no—
457C2×C22⋊C4—474no—
458C2×C22⋊C4—944no—
459C2×C22⋊C4—944no—
460C2×C22⋊C4—944no—
461C2×C22⋊C4—944no—
462C2×C22⋊C4—944no—
463C2×C22⋊C4—1882no—
464C2×C42—42no—
465C2×C42—474no—
466C2×C42—474no—
467C2×C42—474no—
468C2×C42—944no—
469C2×C42—944no—
470C2×C42—944no—
471C2×C42C22×D4714yes—
472#95—474no—
473#95—474no—
474#95—474no—
475#95—474no—
476#95—474no—
477#95—474no—
478#95—474no—
479#95—474no—
480#95—474no—
481#95—474no—
482#95—474no—
483#95—474no—
484#95—474no—
485#95—474no—
486#95C22×D4714yes—
487#95C22×D4714yes—
488#95C22×D4714yes—
489#95C22×D4714yes—
490C24—474no—
491C24—472no—
492C24—942no—
493C24—942no—
494C24—942no—
495C24—942no—
496C24—942no—
497C24—942no—
498C24C23×D4711yescharacteristic
499C2×Q8—28no—
500C2×Q8—28no—
501C2×Q8—44no—
502C2×Q8—416no—
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—22no—
512C22×C4—22no—
513C22×C4—22no—
514C22×C4—22no—
515C22×C4—22no—
516C22×C4—22no—
517C22×C4—22no—
518C22×C4—22no—
519C22×C4—22no—
520C22×C4—22no—
521C22×C4—474no—
522C22×C4—472no—
523C22×C4—472no—
524C22×C4—472no—
525C22×C4—472no—
526C22×C4—472no—
527C22×C4—472no—
528C22×C4—472no—
529C22×C4—948no—
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—942no—
545C22×C4—942no—
546C22×C4—942no—
547C22×C4—942no—
548C22×C4—942no—
549C22×C4—942no—
550C22×C4—948no—
551C22×C4—1884no—
552C22×C4—18816no—
553C22×C4#1062535014yes—
554C22×C4#1062535214yes—
555C22×C4#1062535414yes—
556C22×C4C23×D4712yes—
557C22×C4C23×D4712yes—
558C22×C4C23×D4712yes—
559C22×C4C23×D4712yes—
560C22×C4C23×D4712yes—
561C22×C4C23×D4712yes—
562C22×C4C23×D4712yes—
563C4⋊C4—28no—
564C4⋊C4—948no—
565C4⋊C4—948no—
566C4⋊C4—1884no—
567C4⋊C4—1884no—
568C22⋊C4—948no—
569C22⋊C4—948no—
570C22⋊C4—948no—
571C22⋊C4—948no—
572C22⋊C4—948no—
573C22⋊C4—1884no—
574C42—44no—
575C42—948no—
576C42—948no—
577C42—948no—
578C23—474no—
579C23—948no—
580C23—948no—
581C23—948no—
582C23—942no—
583C23—942no—
584C23—942no—
585C23—942no—
586C23—942no—
587C23—942no—
588C23—1884no—
589C23—1884no—
590C23—1884no—
591C23—1884no—
592C23#41×D4712yes—
593C23#41×D4712yes—
594C23C2×#1062535212yes—
595C23C2×#1062535012yes—
596C23C2×#1062535412yes—
597C23#1309406912yes—
598C23#1309407212yes—
599C23C24×D4711yescharacteristic
600Q8—416no—
601C2×C4—28no—
602C2×C4—28no—
603C2×C4—28no—
604C2×C4—22no—
605C2×C4—22no—
606C2×C4—22no—
607C2×C4—22no—
608C2×C4—22no—
609C2×C4—22no—
610C2×C4—22no—
611C2×C4—22no—
612C2×C4—22no—
613C2×C4—22no—
614C2×C4—22no—
615C2×C4—22no—
616C2×C4—22no—
617C2×C4—22no—
618C2×C4—22no—
619C2×C4—22no—
620C2×C4—22no—
621C2×C4—22no—
622C2×C4—44no—
623C2×C4—44no—
624C2×C4—44no—
625C2×C4—44no—
626C2×C4—474no—
627C2×C4—948no—
628C2×C4—942no—
629C2×C4—942no—
630C2×C4—942no—
631C2×C4—942no—
632C2×C4—942no—
633C2×C4—942no—
634C2×C4—942no—
635C2×C4—942no—
636C2×C4—942no—
637C2×C4—942no—
638C2×C4—942no—
639C2×C4—942no—
640C2×C4—942no—
641C2×C4—942no—
642C2×C4—942no—
643C2×C4—942no—
644C2×C4—942no—
645C2×C4—942no—
646C2×C4—942no—
647C2×C4—942no—
648C2×C4—18816no—
649C2×C4—1884no—
650C2×C4—1884no—
651C2×C4—1884no—
652C2×C4—1884no—
653C2×C4—1884no—
654C2×C4—1884no—
655C2×C4C2×#1062535214yes—
656C2×C4C2×#1062535014yes—
657C2×C4C2×#1062535414yes—
658C22—944no—
659C22—944no—
660C22—944no—
661C22—1882no—
662C22—18816no—
663C22—1882no—
664C22—1882no—
665C22—1882no—
666C22#1568965214yes—
667C22#1568966014yes—
668C22#1568974314yes—
669C22#1568979914yes—
670C22#1568980014yes—
671C22#1568981414yes—
672C22#1568984714yes—
673C22C2×#41×D4711yescharacteristic
674C22C2×#41×D4711yescharacteristic
675C22C22×#1062535211yescharacteristic
676C22C22×#1062535011yescharacteristic
677C22C22×#1062535411yescharacteristic
678C22C2×#1309406911yescharacteristic
679C22C2×#1309407211yescharacteristic
680C4—24no—
681C4—24no—
682C4—24no—
683C4—42no—
684C4—42no—
685C4—42no—
686C4—42no—
687C4—944no—
688C4—1882no—
689C4—1882no—
690C4—1882no—
691C4—1882no—
692C4—1882no—
693C4—1882no—
694C2—1884no—
695C2#2024818118yesdirect product factor
696C2C2×#1568965211yescharacteristic
697C2C2×#1568966011yescharacteristic
698C2C2×#1568974311yescharacteristic
699C2C2×#1568979911yescharacteristic
700C2C2×#1568980011yescharacteristic
701C2C2×#1568981411yescharacteristic
702C2C2×#1568984711yescharacteristic
subgroupG/H
centerC24C23×D47
commutator, cosocleC23×C47C25
FrattiniC23C24×D47
FittingC2×C47×#391C2
socleC24×C47C24
prime radicalC24×D47C23
hypercenterC2×#391D47
hypocenterC47C2×#2527
LCSG ▷ C23×C47 ▷ C47
UCSC1 ◁ C24 ◁ C2×#391

Complements

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

NH ≅ G/Ntype
1. #20248181C2direct (N × H)
2. C2×C47⋊#401C2semidirect
3. C2×#15689065C2semidirect
6. C2×#15689030C2semidirect
9. C2×#15689009C2semidirect
10. C2×#15689008C2semidirect
11. C2×#15689007C2semidirect
15. C2×#15688968C2semidirect
16. C2×C47×#391C2semidirect
31. C47⋊#401C22semidirect
32. #15689065C22semidirect
35. #15689030C22semidirect
38. #15689009C22semidirect
39. #15689008C22semidirect
40. #15689007C22semidirect
44. #15688968C22semidirect
62. C47×#391C22semidirect
349. C2×#391D47semidirect
359. C2×C47#2527semidirect
390. #391C2×D47semidirect
418. C47C2×#2527semidirect
695. C2#20248181direct (N × H)

Maximal subgroups

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

subgroupindex
#202481812
C2×C47⋊#4012
C2×#156890652
C2×#156890492
C2×#156890342
C2×#156890302
C2×#156890152
C2×#156890122
C2×#156890092
C2×#156890082
C2×#156890072
C2×#156889972
C2×#156889852
C2×C4×(C2×D47)⋊C42
C2×#156889682
C2×C47×#3912
C2×#252747