Finite Group Databasebeta

← C47×#22161 #26061859

Subgroups — C47×#22161 #26061859

Order 12032.

864 conjugacy classes of subgroups.

The subgroup lattice has 678 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C47×#463C211yesmaximal, characteristic
2C47×#2326C211yesmaximal, characteristic, complemented
3C47×#2319C211yesmaximal, characteristic, complemented
4C47×#1983C211yesmaximal, characteristic, complemented
5C47×#1972C211yesmaximal, characteristic
6C47×#1968C211yesmaximal, characteristic, complemented
7C47×#1948C211yesmaximal, characteristic, complemented
8C47×#1935C211yesmaximal, characteristic, complemented
9C47×#1934C211yesmaximal, characteristic, complemented
10C47×#1880C211yesmaximal, characteristic, complemented
11C47×#1879C211yesmaximal, characteristic
12C47×#1865C211yesmaximal, characteristic, complemented
13C47×#1864C211yesmaximal, characteristic, complemented
14C47×#1802C211yesmaximal, characteristic, complemented
15C47×#1768C211yesmaximal, characteristic, complemented
16C22×SD16×C47C2211yescharacteristic
17C22×D8×C47C2211yescharacteristic
18C2×#124×C47C2211yescharacteristic
19C2×C4×Q8×C47C2211yescharacteristic
20C2×C4×D4×C47C2211yescharacteristic
21C2×C4×D4×C47C2211yescharacteristic
22C47×#463C418yescomplemented
23C2×#106×C47C2211yescharacteristic
24C2×#106×C47C2211yescharacteristic
25C2×C4⋊C8×C47C2211yescharacteristic
26C2×C4⋊C8×C47C2211yescharacteristic
27C2×#103×C47C2211yescharacteristic
28C2×#103×C47C2211yescharacteristic
29C2×#103×C47C2211yescharacteristic
30C2×#102×C47C2211yescharacteristic
31C2×#102×C47C2211yescharacteristic
32C2×#102×C47C2211yescharacteristic
33C2×#102×C47C2211yescharacteristic
34C2×#102×C47C2211yescharacteristic
35C2×#97×C47C2211yescharacteristic
36C2×C4×C8×C47C2211yescharacteristic
37C47×#391C2211yescharacteristic
38C47×#390C2211yescharacteristic
39C47×#390C2211yescharacteristic
40C47×#390C2211yescharacteristic
41C47×#389C2211yescharacteristic
42C47×#389C2211yescharacteristic
43C47×#388—21no—
44C47×#388—21no—
45C47×#388—21no—
46C47×#388—21no—
47C47×#385—21no—
48C47×#385—21no—
49C47×#384C2211yescharacteristic
50C47×#381—21no—
51C47×#380—21no—
52C4×C4⋊C4×C47C2211yescharacteristic
53C47×#376C2211yescharacteristic
54C47×#340C2211yescharacteristic
55C47×#340C2211yescharacteristic
56C47×#340C2211yescharacteristic
57C47×#340C2211yescharacteristic
58C47×#336C2211yescharacteristic
59C47×#336C2211yescharacteristic
60C22×Q8×C47C2311yescharacteristic
61C22×D4×C47C2311yescharacteristic
62C22×D4×C47C2311yescharacteristic
63C23×C4×C47—21no—
64C23×C4×C47—21no—
65C2×SD16×C47—41no—
66C2×SD16×C47—41no—
67C2×SD16×C47C2×C414yescomplemented
68C2×D8×C47—41no—
69C2×D8×C47—41no—
70C2×D8×C47C2×C414yes—
71C22×C8×C47C2311yescharacteristic
72C22×C8×C47C2311yescharacteristic
73C22×C8×C47C2311yescharacteristic
74C22×C8×C47C2311yescharacteristic
75#124×C47—22no—
76#124×C47C2×C414yes—
77C4×Q8×C47—41no—
78C4×Q8×C47—41no—
79C4×D4×C47—22no—
80C4×D4×C47—41no—
81C4×D4×C47—41no—
82C4×D4×C47C2×C414yescomplemented
83C2×C4⋊C4×C47—21no—
84C2×C4⋊C4×C47—21no—
85C2×C4⋊C4×C47—21no—
86C2×C4⋊C4×C47—21no—
87C2×C4⋊C4×C47—21no—
88C2×C4⋊C4×C47C2311yescharacteristic
89C2×C4⋊C4×C47C2311yescharacteristic
90C2×C4⋊C4×C47C2311yescharacteristic
91C2×C4⋊C4×C47C2311yescharacteristic
92C2×C4⋊C4×C47C2311yescharacteristic
93C2×C22⋊C4×C47—21no—
94C2×C22⋊C4×C47—21no—
95C2×C22⋊C4×C47—21no—
96C2×C22⋊C4×C47—21no—
97C2×C22⋊C4×C47—21no—
98C2×C22⋊C4×C47—21no—
99C2×C22⋊C4×C47—21no—
100C2×C22⋊C4×C47—21no—
101C2×C22⋊C4×C47—21no—
102C2×C22⋊C4×C47—21no—
103C2×C42×C47—21no—
104C2×C42×C47—21no—
105C2×C42×C47C2311yescharacteristic
106C2×C42×C47C2311yescharacteristic
107C2×C42×C47C2311yescharacteristic
108#106×C47—41no—
109#106×C47—41no—
110C4⋊C8×C47—22no—
111C4⋊C8×C47C2×C414yescomplemented
112#103×C47—41no—
113#103×C47—41no—
114#103×C47C2×C414yescomplemented
115#102×C47—41no—
116#102×C47—41no—
117#102×C47—41no—
118#102×C47—41no—
119#102×C47C2×C414yes—
120#97×C47—41no—
121C4×C8×C47—41no—
122#95×C47—21no—
123#95×C47—21no—
124#95×C47—21no—
125#95×C47—21no—
126#95×C47—21no—
127#95×C47D411yescharacteristic
128#95×C47D411yescharacteristic
129#95×C47D411yescharacteristic
130#95×C47D411yescharacteristic
131C24×C47—21no—
132C24×C47—21no—
133C2×Q8×C47—21no—
134C2×Q8×C47—21no—
135C2×Q8×C47—21no—
136C2×Q8×C47—21no—
137C2×Q8×C47—21no—
138C2×Q8×C47C22×C412yes—
139C2×D4×C47—21no—
140C2×D4×C47—21no—
141C2×D4×C47—21no—
142C2×D4×C47—21no—
143C2×D4×C47—21no—
144C2×D4×C47—21no—
145C2×D4×C47—21no—
146C2×D4×C47—21no—
147C2×D4×C47—21no—
148C2×D4×C47—21no—
149C2×D4×C47C22×C412yes—
150C2×D4×C47C22×C412yes—
151C22×C4×C47—21no—
152C22×C4×C47—21no—
153C22×C4×C47—24no—
154C22×C4×C47—21no—
155C22×C4×C47—21no—
156C22×C4×C47—21no—
157C22×C4×C47—21no—
158C22×C4×C47—42no—
159C22×C4×C47—81no—
160C22×C4×C47—81no—
161C22×C4×C47—81no—
162C22×C4×C47—81no—
163C22×C4×C47C2×D411yescharacteristic
164C22×C4×C47C2×D411yescharacteristic
165C22×C4×C47C2×D411yescharacteristic
166C22×C4×C47C2×D411yescharacteristic
167C22×C4×C47C2×D411yescharacteristic
168C22×C4×C47C2×D411yescharacteristic
169C22×C4×C47C2411yescharacteristic
170SD16×C47—44no—
171D8×C47—44no—
172C2×C8×C47—21no—
173C2×C8×C47—21no—
174C2×C8×C47—21no—
175C2×C8×C47—21no—
176C2×C8×C47—21no—
177C2×C8×C47—21no—
178C2×C8×C47—21no—
179C2×C8×C47—21no—
180C2×C8×C47—21no—
181C2×C8×C47—21no—
182C2×C8×C47C22×C412yes—
183C2×C8×C47C22×C412yes—
184C4⋊C4×C47—21no—
185C4⋊C4×C47—21no—
186C4⋊C4×C47—21no—
187C4⋊C4×C47—21no—
188C4⋊C4×C47—21no—
189C4⋊C4×C47—21no—
190C4⋊C4×C47—21no—
191C4⋊C4×C47—21no—
192C4⋊C4×C47—21no—
193C4⋊C4×C47—42no—
194C4⋊C4×C47—81no—
195C4⋊C4×C47—81no—
196C4⋊C4×C47—81no—
197C4⋊C4×C47—81no—
198C4⋊C4×C47C22×C412yes—
199C22⋊C4×C47—24no—
200C22⋊C4×C47—24no—
201C22⋊C4×C47—24no—
202C22⋊C4×C47—42no—
203C22⋊C4×C47—81no—
204C22⋊C4×C47—81no—
205C22⋊C4×C47—81no—
206C22⋊C4×C47—81no—
207C22⋊C4×C47—81no—
208C22⋊C4×C47—81no—
209C42×C47—21no—
210C42×C47—21no—
211C42×C47—21no—
212C42×C47—21no—
213C42×C47—42no—
214C42×C47—81no—
215C42×C47C22×C412yes—
216C42×C47#4112yes—
217C23×C47—22no—
218C23×C47—22no—
219C23×C47—41no—
220C23×C47—41no—
221C23×C47—41no—
222C23×C47—41no—
223C23×C47—41no—
224C23×C47—41no—
225C23×C47—41no—
226C23×C47—41no—
227C23×C47—41no—
228C23×C47—41no—
229C23×C47—41no—
230C23×C47—41no—
231C23×C47C22×D411yescharacteristic
232Q8×C47—22no—
233Q8×C47—22no—
234Q8×C47—41no—
235Q8×C47—41no—
236D4×C47—22no—
237D4×C47—22no—
238D4×C47—22no—
239D4×C47—22no—
240D4×C47—41no—
241D4×C47—41no—
242D4×C47—41no—
243D4×C47—41no—
244C2×C4×C47—21no—
245C2×C4×C47—21no—
246C2×C4×C47—21no—
247C2×C4×C47—21no—
248C2×C4×C47—22no—
249C2×C4×C47—22no—
250C2×C4×C47—21no—
251C2×C4×C47—21no—
252C2×C4×C47—21no—
253C2×C4×C47—21no—
254C2×C4×C47—21no—
255C2×C4×C47—21no—
256C2×C4×C47—21no—
257C2×C4×C47—21no—
258C2×C4×C47—21no—
259C2×C4×C47—21no—
260C2×C4×C47—21no—
261C2×C4×C47—21no—
262C2×C4×C47—41no—
263C2×C4×C47—41no—
264C2×C4×C47—41no—
265C2×C4×C47—41no—
266C2×C4×C47—41no—
267C2×C4×C47—41no—
268C2×C4×C47—41no—
269C2×C4×C47—41no—
270C2×C4×C47—41no—
271C2×C4×C47—41no—
272C2×C4×C47—41no—
273C2×C4×C47—41no—
274C2×C4×C47—41no—
275C2×C4×C47—41no—
276C2×C4×C47—41no—
277C2×C4×C47—41no—
278C2×C4×C47—84no—
279C2×C4×C47—84no—
280C2×C4×C47C4×D412yes—
281C2×C4×C47C4×D412yes—
282C2×C4×C47C23×C411yescharacteristic
283C2×C4×C47C2×#4111yescharacteristic
284C2×C4×C47H(5,𝔽2)11yescharacteristic
285C2×C4×C47H(5,𝔽2)11yescharacteristic
286C2×C4×C47H(5,𝔽2)11yescharacteristic
287C2×C4×C472−1+411yescharacteristic
288C8×C47—22no—
289C8×C47—22no—
290C8×C47—41no—
291C8×C47—41no—
292#22161C4711yesmaximal, characteristic, direct product factor, Sylow
293C22×C47—42no—
294C22×C47—42no—
295C22×C47—42no—
296C22×C47—42no—
297C22×C47—42no—
298C22×C47—42no—
299C22×C47—81no—
300C22×C47—81no—
301C22×C47—81no—
302C22×C47—81no—
303C22×C47—81no—
304C22×C47—81no—
305C22×C47—81no—
306C22×C47—81no—
307C22×C47C2×C4×D411yescharacteristic
308C22×C47#53511yescharacteristic
309C22×C47#53711yescharacteristic
310C22×C47#57611yescharacteristic
311C22×C47#57711yescharacteristic
312C22×C47#57711yescharacteristic
313C22×C47#57711yescharacteristic
314C4×C47—22no—
315C4×C47—22no—
316C4×C47—42no—
317C4×C47—42no—
318C4×C47—41no—
319C4×C47—41no—
320C4×C47—41no—
321C4×C47—41no—
322C4×C47—81no—
323C4×C47—81no—
324C4×C47—81no—
325C4×C47—81no—
326C4×C47#51811yescharacteristic
327C4×C47#52011yescharacteristic
328C4×C47#54011yescharacteristic
329C4×C47#54211yescharacteristic
330C2×#463C2×C4711yescharacteristic
331#2326C2×C4711yescharacteristic, complemented
332#2319C2×C4711yescharacteristic, complemented
333#1983C2×C4711yescharacteristic, complemented
334#1972C2×C4711yescharacteristic
335#1968C2×C4711yescharacteristic, complemented
336#1948C2×C4711yescharacteristic, complemented
337#1935C2×C4711yescharacteristic, complemented
338#1934C2×C4711yescharacteristic, complemented
339#1880C2×C4711yescharacteristic, complemented
340#1879C2×C4711yescharacteristic
341#1865C2×C4711yescharacteristic, complemented
342#1864C2×C4711yescharacteristic, complemented
343#1802C2×C4711yescharacteristic, complemented
344#1768C2×C4711yescharacteristic, complemented
345C2×C47—82no—
346C2×C47—82no—
347C2×C47#232411yescharacteristic
348C2×C47#294611yescharacteristic
349C2×C47#295211yescharacteristic
350C2×C47#322111yescharacteristic
351C2×C47#322411yescharacteristic
352C2×C47#325711yescharacteristic
353C2×C47#326311yescharacteristic
354C22×SD16C22×C4711yescharacteristic
355C22×D8C22×C4711yescharacteristic
356C2×#124C22×C4711yescharacteristic
357C2×C4×Q8C22×C4711yescharacteristic
358C2×C4×D4C22×C4711yescharacteristic
359C2×C4×D4C22×C4711yescharacteristic
360#463C4×C4718yescomplemented
361C2×#106C22×C4711yescharacteristic
362C2×#106C22×C4711yescharacteristic
363C2×C4⋊C8C22×C4711yescharacteristic
364C2×C4⋊C8C22×C4711yescharacteristic
365C2×#103C22×C4711yescharacteristic
366C2×#103C22×C4711yescharacteristic
367C2×#103C22×C4711yescharacteristic
368C2×#102C22×C4711yescharacteristic
369C2×#102C22×C4711yescharacteristic
370C2×#102C22×C4711yescharacteristic
371C2×#102C22×C4711yescharacteristic
372C2×#102C22×C4711yescharacteristic
373C2×#97C22×C4711yescharacteristic
374C2×C4×C8C22×C4711yescharacteristic
375#391C22×C4711yescharacteristic
376#390C22×C4711yescharacteristic
377#390C22×C4711yescharacteristic
378#390C22×C4711yescharacteristic
379#389C22×C4711yescharacteristic
380#389C22×C4711yescharacteristic
381#388—21no—
382#388—21no—
383#388—21no—
384#388—21no—
385#385—21no—
386#385—21no—
387#384C22×C4711yescharacteristic
388#381—21no—
389#380—21no—
390C4×C4⋊C4C22×C4711yescharacteristic
391#376C22×C4711yescharacteristic
392#340C22×C4711yescharacteristic
393#340C22×C4711yescharacteristic
394#340C22×C4711yescharacteristic
395#340C22×C4711yescharacteristic
396#336C22×C4711yescharacteristic
397#336C22×C4711yescharacteristic
398C47#2216111yescharacteristic, direct product factor, Sylow
399C22×Q8C23×C4711yescharacteristic
400C22×D4C23×C4711yescharacteristic
401C22×D4C23×C4711yescharacteristic
402C23×C4—21no—
403C23×C4—21no—
404C2×SD16—41no—
405C2×SD16—41no—
406C2×SD16C2×C4×C4714yescomplemented
407C2×D8—41no—
408C2×D8—41no—
409C2×D8C2×C4×C4714yes—
410C22×C8C23×C4711yescharacteristic
411C22×C8C23×C4711yescharacteristic
412C22×C8C23×C4711yescharacteristic
413C22×C8C23×C4711yescharacteristic
414#124—22no—
415#124C2×C4×C4714yes—
416C4×Q8—41no—
417C4×Q8—41no—
418C4×D4—22no—
419C4×D4—41no—
420C4×D4—41no—
421C4×D4C2×C4×C4714yescomplemented
422C2×C4⋊C4—21no—
423C2×C4⋊C4—21no—
424C2×C4⋊C4—21no—
425C2×C4⋊C4—21no—
426C2×C4⋊C4—21no—
427C2×C4⋊C4C23×C4711yescharacteristic
428C2×C4⋊C4C23×C4711yescharacteristic
429C2×C4⋊C4C23×C4711yescharacteristic
430C2×C4⋊C4C23×C4711yescharacteristic
431C2×C4⋊C4C23×C4711yescharacteristic
432C2×C22⋊C4—21no—
433C2×C22⋊C4—21no—
434C2×C22⋊C4—21no—
435C2×C22⋊C4—21no—
436C2×C22⋊C4—21no—
437C2×C22⋊C4—21no—
438C2×C22⋊C4—21no—
439C2×C22⋊C4—21no—
440C2×C22⋊C4—21no—
441C2×C22⋊C4—21no—
442C2×C42—21no—
443C2×C42—21no—
444C2×C42C23×C4711yescharacteristic
445C2×C42C23×C4711yescharacteristic
446C2×C42C23×C4711yescharacteristic
447#106—41no—
448#106—41no—
449C4⋊C8—22no—
450C4⋊C8C2×C4×C4714yescomplemented
451#103—41no—
452#103—41no—
453#103C2×C4×C4714yescomplemented
454#102—41no—
455#102—41no—
456#102—41no—
457#102—41no—
458#102C2×C4×C4714yes—
459#97—41no—
460C4×C8—41no—
461#95—21no—
462#95—21no—
463#95—21no—
464#95—21no—
465#95—21no—
466#95D4×C4711yescharacteristic
467#95D4×C4711yescharacteristic
468#95D4×C4711yescharacteristic
469#95D4×C4711yescharacteristic
470C24—21no—
471C24—21no—
472C2×Q8—21no—
473C2×Q8—21no—
474C2×Q8—21no—
475C2×Q8—21no—
476C2×Q8—21no—
477C2×Q8C22×C4×C4712yes—
478C2×D4—21no—
479C2×D4—21no—
480C2×D4—21no—
481C2×D4—21no—
482C2×D4—21no—
483C2×D4—21no—
484C2×D4—21no—
485C2×D4—21no—
486C2×D4—21no—
487C2×D4—21no—
488C2×D4C22×C4×C4712yes—
489C2×D4C22×C4×C4712yes—
490C22×C4—21no—
491C22×C4—21no—
492C22×C4—24no—
493C22×C4—21no—
494C22×C4—21no—
495C22×C4—21no—
496C22×C4—21no—
497C22×C4—42no—
498C22×C4—81no—
499C22×C4—81no—
500C22×C4—81no—
501C22×C4—81no—
502C22×C4C2×D4×C4711yescharacteristic
503C22×C4C2×D4×C4711yescharacteristic
504C22×C4C2×D4×C4711yescharacteristic
505C22×C4C2×D4×C4711yescharacteristic
506C22×C4C2×D4×C4711yescharacteristic
507C22×C4C2×D4×C4711yescharacteristic
508C22×C4C24×C4711yescharacteristic
509SD16—44no—
510D8—44no—
511C2×C8—21no—
512C2×C8—21no—
513C2×C8—21no—
514C2×C8—21no—
515C2×C8—21no—
516C2×C8—21no—
517C2×C8—21no—
518C2×C8—21no—
519C2×C8—21no—
520C2×C8—21no—
521C2×C8C22×C4×C4712yes—
522C2×C8C22×C4×C4712yes—
523C4⋊C4—21no—
524C4⋊C4—21no—
525C4⋊C4—21no—
526C4⋊C4—21no—
527C4⋊C4—21no—
528C4⋊C4—21no—
529C4⋊C4—21no—
530C4⋊C4—21no—
531C4⋊C4—21no—
532C4⋊C4—42no—
533C4⋊C4—81no—
534C4⋊C4—81no—
535C4⋊C4—81no—
536C4⋊C4—81no—
537C4⋊C4C22×C4×C4712yes—
538C22⋊C4—24no—
539C22⋊C4—24no—
540C22⋊C4—24no—
541C22⋊C4—42no—
542C22⋊C4—81no—
543C22⋊C4—81no—
544C22⋊C4—81no—
545C22⋊C4—81no—
546C22⋊C4—81no—
547C22⋊C4—81no—
548C42—21no—
549C42—21no—
550C42—21no—
551C42—21no—
552C42—42no—
553C42—81no—
554C42C22×C4×C4712yes—
555C42#41×C4712yes—
556C23—22no—
557C23—22no—
558C23—41no—
559C23—41no—
560C23—41no—
561C23—41no—
562C23—41no—
563C23—41no—
564C23—41no—
565C23—41no—
566C23—41no—
567C23—41no—
568C23—41no—
569C23—41no—
570C23C22×D4×C4711yescharacteristic
571Q8—22no—
572Q8—22no—
573Q8—41no—
574Q8—41no—
575D4—22no—
576D4—22no—
577D4—22no—
578D4—22no—
579D4—41no—
580D4—41no—
581D4—41no—
582D4—41no—
583C2×C4—21no—
584C2×C4—21no—
585C2×C4—21no—
586C2×C4—21no—
587C2×C4—22no—
588C2×C4—22no—
589C2×C4—21no—
590C2×C4—21no—
591C2×C4—21no—
592C2×C4—21no—
593C2×C4—21no—
594C2×C4—21no—
595C2×C4—21no—
596C2×C4—21no—
597C2×C4—21no—
598C2×C4—21no—
599C2×C4—21no—
600C2×C4—21no—
601C2×C4—41no—
602C2×C4—41no—
603C2×C4—41no—
604C2×C4—41no—
605C2×C4—41no—
606C2×C4—41no—
607C2×C4—41no—
608C2×C4—41no—
609C2×C4—41no—
610C2×C4—41no—
611C2×C4—41no—
612C2×C4—41no—
613C2×C4—41no—
614C2×C4—41no—
615C2×C4—41no—
616C2×C4—41no—
617C2×C4—84no—
618C2×C4—84no—
619C2×C4C4×D4×C4712yes—
620C2×C4C4×D4×C4712yes—
621C2×C4C23×C4×C4711yescharacteristic
622C2×C4C2×#41×C4711yescharacteristic
623C2×C4H(5,𝔽2)×C4711yescharacteristic
624C2×C4H(5,𝔽2)×C4711yescharacteristic
625C2×C4H(5,𝔽2)×C4711yescharacteristic
626C2×C42−1+4×C4711yescharacteristic
627C8—22no—
628C8—22no—
629C8—41no—
630C8—41no—
631C22—42no—
632C22—42no—
633C22—42no—
634C22—42no—
635C22—42no—
636C22—42no—
637C22—81no—
638C22—81no—
639C22—81no—
640C22—81no—
641C22—81no—
642C22—81no—
643C22—81no—
644C22—81no—
645C22C2×C4×D4×C4711yescharacteristic
646C22C47×#53511yescharacteristic
647C22C47×#53711yescharacteristic
648C22C47×#57611yescharacteristic
649C22C47×#57711yescharacteristic
650C22C47×#57711yescharacteristic
651C22C47×#57711yescharacteristic
652C4—22no—
653C4—22no—
654C4—42no—
655C4—42no—
656C4—41no—
657C4—41no—
658C4—41no—
659C4—41no—
660C4—81no—
661C4—81no—
662C4—81no—
663C4—81no—
664C4C47×#51811yescharacteristic
665C4C47×#52011yescharacteristic
666C4C47×#54011yescharacteristic
667C4C47×#54211yescharacteristic
668C2—82no—
669C2—82no—
670C2C47×#232411yescharacteristic
671C2C47×#294611yescharacteristic
672C2C47×#295211yescharacteristic
673C2C47×#322111yescharacteristic
674C2C47×#322411yescharacteristic
675C2C47×#325711yescharacteristic
676C2C47×#326311yescharacteristic
subgroupG/H
center, socleC23×C47C22×D4
commutatorC2×C4C23×C4×C47
Frattini, cosocleC22×C4C24×C47
prime radicalC22×D8×C47C22
LCSG ▷ C2×C4 ▷ C2 ▷ C1
UCSC1 ◁ C23×C47 ◁ C47×#376 ◁ G

Complements

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

NH ≅ G/Ntype
2. C47×#2326C2semidirect
3. C47×#2319C2semidirect
4. C47×#1983C2semidirect
6. C47×#1968C2semidirect
7. C47×#1948C2semidirect
8. C47×#1935C2semidirect
9. C47×#1934C2semidirect
10. C47×#1880C2semidirect
12. C47×#1865C2semidirect
13. C47×#1864C2semidirect
14. C47×#1802C2semidirect
15. C47×#1768C2semidirect
22. C47×#463C4semidirect
67. C2×SD16×C47C2×C4semidirect
82. C4×D4×C47C2×C4semidirect
111. C4⋊C8×C47C2×C4semidirect
114. #103×C47C2×C4semidirect
292. #22161C47direct (N × H)
331. #2326C2×C47semidirect
332. #2319C2×C47semidirect
333. #1983C2×C47semidirect
335. #1968C2×C47semidirect
336. #1948C2×C47semidirect
337. #1935C2×C47semidirect
338. #1934C2×C47semidirect
339. #1880C2×C47semidirect
341. #1865C2×C47semidirect
342. #1864C2×C47semidirect
343. #1802C2×C47semidirect
344. #1768C2×C47semidirect
360. #463C4×C47semidirect
398. C47#22161direct (N × H)
406. C2×SD16C2×C4×C47semidirect
421. C4×D4C2×C4×C47semidirect
450. C4⋊C8C2×C4×C47semidirect
453. #103C2×C4×C47semidirect

Maximal subgroups

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

subgroupindex
C2×C47×#4632
C47×#23262
C47×#23192
C47×#19832
C47×#19722
C47×#19682
C47×#19482
C47×#19352
C47×#19342
C47×#18802
C47×#18792
C47×#18652
C47×#18642
C47×#18022
C47×#17682
#2216147