Finite Group Databasebeta

← C4×#15689016 #26137434

Subgroups — C4×#15689016 #26137434

Order 12032.

2134 conjugacy classes of subgroups.

The subgroup lattice has 706 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#15689016C212yesmaximal
2C2×C4×C4⋊Dic47C211yesmaximal, characteristic, complemented
3C2×C4×C22⋊Dic47C211yesmaximal, characteristic
4C2×C4×C22⋊Dic47C211yesmaximal, characteristic
5C2×C42×Dic47C211yesmaximal, characteristic, complemented
6#20241625C212yesmaximal
7#20241622C212yesmaximal, complemented
8#20241613C212yesmaximal, complemented
9C4×C47⋊#95C211yesmaximal, characteristic, complemented
10C4×C47⋊#95C211yesmaximal, characteristic, complemented
11C2×C4×C22⋊C4×C47C211yesmaximal, characteristic
12C22×C4⋊Dic47C2212yes—
13C22×C22⋊Dic47C2212yes—
14C22×C22⋊Dic47C2212yes—
15C22×C4×Dic47C2211yescharacteristic
16C22×C4×Dic47C2211yescharacteristic
17C22×C4×Dic47C2212yes—
18C22×C4×Dic47C2212yes—
19C22×C4×Dic47C2211yescharacteristic
20C22×C4×Dic47C2211yescharacteristic
21#15689016C4116yesdirect product factor
22C4×C4⋊Dic47—24no—
23C4×C22⋊Dic47—24no—
24C4×C22⋊Dic47—24no—
25C2×C47⋊#95C2212yes—
26C2×C47⋊#95C2212yes—
27C2×C47⋊#95C2212yes—
28C2×C47⋊#95C2212yes—
29C2×C47⋊#95C2212yes—
30C2×C47⋊#95C2212yes—
31C2×C47⋊#95C2212yes—
32C42×Dic47—24no—
33C24×C4×C47C2211yescharacteristic
34C22×C22⋊C4×C47C2211yescharacteristic
35C22×C22⋊C4×C47C2211yescharacteristic
36C22×C42×C47C2211yescharacteristic
37C22×C42×C47C2211yescharacteristic
38C4×C22⋊C4×C47C418yescomplemented
39C2×#95×C47C2211yescharacteristic
40C2×#95×C47C2211yescharacteristic
41C23×Dic47C2312yes—
42C23×Dic47C2312yes—
43C23×Dic47C2312yes—
44C23×Dic47C2312yes—
45C2×C4⋊Dic47—24no—
46C2×C4⋊Dic47—24no—
47C2×C4⋊Dic47C2×C418yescomplemented
48C2×C22⋊Dic47—24no—
49C2×C22⋊Dic47—24no—
50C2×C22⋊Dic47—24no—
51C2×C22⋊Dic47—24no—
52C2×C22⋊Dic47C2×C418yes—
53C2×C22⋊Dic47C2×C418yes—
54C2×C4×Dic47—22no—
55C2×C4×Dic47—24no—
56C2×C4×Dic47—22no—
57C2×C4×Dic47—22no—
58C2×C4×Dic47—22no—
59C2×C4×Dic47—24no—
60C2×C4×Dic47—24no—
61C2×C4×Dic47—24no—
62C2×C4×Dic47—24no—
63C2×C4×Dic47—22no—
64C2×C4×Dic47—22no—
65C2×C4×Dic47—22no—
66C2×C4×Dic47—22no—
67C2×C4×Dic47—22no—
68C2×C4×Dic47—22no—
69C2×C4×Dic47C2×C418yescomplemented
70C2×C4×Dic47D414yes—
71C2×C4×Dic47D414yes—
72C47⋊#95—24no—
73C47⋊#95—24no—
74C47⋊#95—24no—
75C47⋊#95—24no—
76C47⋊#95—24no—
77C47⋊#95C2×C418yescomplemented
78C47⋊#95C2×C418yescomplemented
79C25×C47C2311yescharacteristic
80C23×C4×C47—22no—
81C23×C4×C47—22no—
82C23×C4×C47—22no—
83C23×C4×C47—22no—
84C23×C4×C47—22no—
85C23×C4×C47—22no—
86C23×C4×C47C2×C414yes—
87C23×C4×C47C2311yescharacteristic
88C23×C4×C47C2311yescharacteristic
89C23×C4×C47C2311yescharacteristic
90C23×C4×C47C2311yescharacteristic
91C23×C4×C47C2311yescharacteristic
92C23×C4×C47C2311yescharacteristic
93C2×C22⋊C4×C47—24no—
94C2×C22⋊C4×C47C2×C414yes—
95C2×C22⋊C4×C47C2×C418yes—
96C2×C22⋊C4×C47C2×C414yes—
97C2×C42×C47—22no—
98C2×C42×C47—22no—
99C2×C42×C47—22no—
100C2×C42×C47—22no—
101C2×C42×C47C2×C414yes—
102C2×C42×C47C2×C414yes—
103#95×C47C2×C414yes—
104#95×C47C2×C414yes—
105C24×C47—21no—
106C24×C47—21no—
107C24×C47—22no—
108C24×C47—21no—
109C24×C47—21no—
110C24×C47—21no—
111C24×C47—21no—
112C24×C47—22no—
113C24×C47—22no—
114C24×C47C22×C414yes—
115C24×C47C22×C412yes—
116C24×C47C2411yescharacteristic
117C22×C4×C47—21no—
118C22×C4×C47—21no—
119C22×C4×C47—21no—
120C22×C4×C47—21no—
121C22×C4×C47—21no—
122C22×C4×C47—21no—
123C22×C4×C47—22no—
124C22×C4×C47—22no—
125C22×C4×C47—22no—
126C22×C4×C47—21no—
127C22×C4×C47—21no—
128C22×C4×C47—21no—
129C22×C4×C47—21no—
130C22×C4×C47—22no—
131C22×C4×C47—21no—
132C22×C4×C47—21no—
133C22×C4×C47—21no—
134C22×C4×C47—21no—
135C22×C4×C47—22no—
136C22×C4×C47—28no—
137C22×C4×C47—28no—
138C22×C4×C47—28no—
139C22×C4×C47—44no—
140C22×C4×C47—44no—
141C22×C4×C47—44no—
142C22×C4×C47—44no—
143C22×C4×C47C22×C412yes—
144C22×C4×C47C22×C412yes—
145C22×C4×C47C22×C414yes—
146C22×C4×C47C22×C414yes—
147C22×C4×C47C22×C412yes—
148C22×C4×C47C22×C412yes—
149C22×C4×C47C22×C412yes—
150C22×C4×C47C22×C412yes—
151C22×C4×C47C2×D412yes—
152C22×C4×C47C2×D412yes—
153C22×C4×C47#4114yes—
154C22×C4×C47#4112yes—
155C22×C4×C47#4112yes—
156C22×C4×C47#4112yes—
157C22×C4×C47#4112yes—
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—22no—
177C22×Dic47—22no—
178C22×Dic47C22×C414yes—
179C22×Dic47C22×C414yes—
180C22×Dic47C22×C414yes—
181C22×Dic47C22×C414yes—
182C22×Dic47C2×D414yes—
183C22×Dic47C2×D414yes—
184C22×Dic47#4114yes—
185C22×Dic47#4114yes—
186C22⋊C4×C47—28no—
187C22⋊C4×C47C42116yescomplemented
188C42×C47—28no—
189C42×C47—28no—
190C22⋊Dic47—216no—
191C22⋊Dic47—216no—
192C4⋊Dic47—216no—
193C4×Dic47—216no—
194C4×Dic47—28no—
195C4×Dic47—28no—
196C4×Dic47—216no—
197C4×Dic47—44no—
198C4×Dic47—44no—
199C23×C47—22no—
200C23×C47—22no—
201C23×C47—24no—
202C23×C47—24no—
203C23×C47—22no—
204C23×C47—22no—
205C23×C47—24no—
206C23×C47—24no—
207C23×C47—24no—
208C23×C47—24no—
209C23×C47—22no—
210C23×C47—22no—
211C23×C47—41no—
212C23×C47—41no—
213C23×C47—42no—
214C23×C47—41no—
215C23×C47—41no—
216C23×C47—42no—
217C23×C47—42no—
218C23×C47—42no—
219C23×C47—42no—
220C23×C47—42no—
221C23×C47C2×C4214yes—
222C23×C47C23×C412yes—
223C23×C47C23×C411yescharacteristic
224C23×C47C22×D411yescharacteristic
225C23×C47C22×D411yescharacteristic
226C23×C47C2×#4112yes—
227C23×C47C2×#4112yes—
228C23×C47C2×#4111yescharacteristic
229C23×C47C2×#4111yescharacteristic
230C23×C47C2×#4111yescharacteristic
231C23×C47C2×#4111yescharacteristic
232C23×C47C2×#4112yes—
233C2×C4×C47—24no—
234C2×C4×C47—24no—
235C2×C4×C47—22no—
236C2×C4×C47—22no—
237C2×C4×C47—22no—
238C2×C4×C47—24no—
239C2×C4×C47—24no—
240C2×C4×C47—22no—
241C2×C4×C47—22no—
242C2×C4×C47—22no—
243C2×C4×C47—24no—
244C2×C4×C47—24no—
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—41no—
252C2×C4×C47—41no—
253C2×C4×C47—41no—
254C2×C4×C47—41no—
255C2×C4×C47—42no—
256C2×C4×C47—42no—
257C2×C4×C47—416no—
258C2×C4×C47C2×C4214yes—
259C2×C4×C47C2×C4214yes—
260C2×C4×C47#11714yes—
261C2×C4×C47#11714yes—
262C2×C4×C47C4×D414yes—
263C2×C4×C47C4×D414yes—
264C2×C4×C47#12114yes—
265C2×C4×C47#12314yes—
266C2×C4×C47#12414yes—
267C2×C4×C47#12614yes—
268C2×Dic47—24no—
269C2×Dic47—24no—
270C2×Dic47—24no—
271C2×Dic47—24no—
272C2×Dic47—24no—
273C2×Dic47—24no—
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—42no—
287C2×Dic47—42no—
288C2×Dic47—42no—
289C2×Dic47—42no—
290C2×Dic47—42no—
291C2×Dic47—42no—
292C2×Dic47—42no—
293C2×Dic47—42no—
294C2×Dic47C4×D418yes—
295C2×Dic47C4×D418yes—
296C4×#388—471nomaximal, Sylow
297C22×C47—24no—
298C22×C47—24no—
299C22×C47—24no—
300C22×C47—44no—
301C22×C47—42no—
302C22×C47—42no—
303C22×C47—42no—
304C22×C47—42no—
305C22×C47—44no—
306C22×C47—44no—
307C22×C47—44no—
308C22×C47C22×C4211yescharacteristic
309C22×C47C2×#11711yescharacteristic
310C22×C47C2×#11711yescharacteristic
311C22×C47C2×C4×D412yes—
312C22×C47C2×C4×D412yes—
313C22×C47C2×C4×D411yescharacteristic
314C22×C47C2×C4×D411yescharacteristic
315C22×C47C4×#4112yes—
316C22×C47C4×#4112yes—
317C22×C47C4×#4112yes—
318C22×C47C4×#4112yes—
319C22×C47C4×#4111yescharacteristic
320C22×C47C4×#4111yescharacteristic
321C22×C47C2×#12111yescharacteristic
322C22×C47C2×#12311yescharacteristic
323C22×C47#52512yes—
324C22×C47C2×#12411yescharacteristic
325C22×C47C2×#12611yescharacteristic
326C22×C47#52912yes—
327C22×C47#52912yes—
328C22×C47#52912yes—
329C22×C47#52912yes—
330C22×C47#53212yes—
331C4×C47—24no—
332C4×C47—24no—
333C4×C47—24no—
334C4×C47—42no—
335C4×C47—42no—
336C4×C47#38818yescomplemented
337Dic47—28no—
338Dic47—28no—
339Dic47—44no—
340Dic47—44no—
341C2×#388—472no—
342C2×C4×C4⋊C4—471no—
343C2×C4×C22⋊C4—471no—
344C2×C4×C22⋊C4—471no—
345C2×C4×C22⋊C4D4711yescharacteristic
346C2×C43—471no—
347#1437—472no—
348#1436—472no—
349#1434—472no—
350C4×#95—471no—
351C4×#95—471no—
352C2×C47—44no—
353C2×C47C4×#11711yescharacteristic
354C2×C47C42×D411yescharacteristic
355C2×C47C42×D411yescharacteristic
356C2×C47C2×#38811yescharacteristic
357C2×C47#229011yescharacteristic
358C2×C47#229311yescharacteristic
359C2×C47#229811yescharacteristic
360C2×C47C4×#12112yes—
361C2×C47C4×#12312yes—
362C2×C47C4×#12412yes—
363C2×C47C4×#12612yes—
364C24×C4C2×D4711yescharacteristic
365C22×C4⋊C4—472no—
366C22×C22⋊C4—472no—
367C22×C22⋊C4—472no—
368C22×C22⋊C4C2×D4711yescharacteristic
369C22×C22⋊C4C2×D4711yescharacteristic
370C22×C42—472no—
371C22×C42—471no—
372C22×C42—471no—
373C22×C42—472no—
374C22×C42—471no—
375C22×C42—471no—
376C22×C42C2×D4711yescharacteristic
377C22×C42C2×D4711yescharacteristic
378#388—4716no—
379C4×C4⋊C4—944no—
380C4×C22⋊C4—944no—
381C4×C22⋊C4—944no—
382C4×C22⋊C4Dic4718yescomplemented
383C2×#95—472no—
384C2×#95—472no—
385C2×#95—472no—
386C2×#95—472no—
387C2×#95—472no—
388C2×#95—472no—
389C2×#95—472no—
390C2×#95C2×D4711yescharacteristic
391C2×#95C2×D4711yescharacteristic
392C43—944no—
393C47C4×#38811yescharacteristic, complemented, Sylow
394C25C22×D4711yescharacteristic
395C23×C4—22no—
396C23×C4—22no—
397C23×C4—22no—
398C23×C4—22no—
399C23×C4—22no—
400C23×C4—22no—
401C23×C4—472no—
402C23×C4—472no—
403C23×C4—472no—
404C23×C4—472no—
405C23×C4C2×Dic4714yes—
406C23×C4C22×D4711yescharacteristic
407C23×C4C22×D4711yescharacteristic
408C23×C4C22×D4711yescharacteristic
409C23×C4C22×D4711yescharacteristic
410C23×C4C22×D4711yescharacteristic
411C23×C4C22×D4711yescharacteristic
412C2×C4⋊C4—478no—
413C2×C4⋊C4—944no—
414C2×C4⋊C4—944no—
415C2×C22⋊C4—24no—
416C2×C22⋊C4—478no—
417C2×C22⋊C4—478no—
418C2×C22⋊C4—944no—
419C2×C22⋊C4—944no—
420C2×C22⋊C4—944no—
421C2×C22⋊C4—944no—
422C2×C22⋊C4C4×D4718yes—
423C2×C22⋊C4C2×Dic4714yes—
424C2×C22⋊C4C2×Dic4714yes—
425C2×C42—22no—
426C2×C42—22no—
427C2×C42—22no—
428C2×C42—22no—
429C2×C42—478no—
430C2×C42—474no—
431C2×C42—474no—
432C2×C42—944no—
433C2×C42—944no—
434C2×C42—944no—
435C2×C42—944no—
436C2×C42—944no—
437C2×C42—942no—
438C2×C42—942no—
439C2×C42—942no—
440C2×C42—942no—
441C2×C42—942no—
442C2×C42—942no—
443C2×C42—942no—
444C2×C42—942no—
445C2×C42—942no—
446C2×C42—942no—
447C2×C42C2×Dic4714yes—
448C2×C42C2×Dic4714yes—
449#95—478no—
450#95—478no—
451#95—944no—
452#95—944no—
453#95—944no—
454#95—944no—
455#95—944no—
456#95C2×Dic4714yes—
457#95C2×Dic4714yes—
458C24—21no—
459C24—21no—
460C24—22no—
461C24—22no—
462C24—21no—
463C24—21no—
464C24—22no—
465C24—21no—
466C24—21no—
467C24C2×C4×D4714yes—
468C24C22×Dic4712yes—
469C24C23×D4711yescharacteristic
470C22×C4—21no—
471C22×C4—21no—
472C22×C4—21no—
473C22×C4—22no—
474C22×C4—22no—
475C22×C4—22no—
476C22×C4—21no—
477C22×C4—21no—
478C22×C4—21no—
479C22×C4—21no—
480C22×C4—21no—
481C22×C4—21no—
482C22×C4—22no—
483C22×C4—21no—
484C22×C4—21no—
485C22×C4—21no—
486C22×C4—22no—
487C22×C4—21no—
488C22×C4—21no—
489C22×C4—28no—
490C22×C4—28no—
491C22×C4—28no—
492C22×C4—44no—
493C22×C4—44no—
494C22×C4—44no—
495C22×C4—44no—
496C22×C4—474no—
497C22×C4—474no—
498C22×C4—474no—
499C22×C4—474no—
500C22×C4—474no—
501C22×C4—474no—
502C22×C4—474no—
503C22×C4—474no—
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×C4C2×C4×D4714yes—
525C22×C4C2×C4×D4714yes—
526C22×C4#1062535014yes—
527C22×C4#1062535012yes—
528C22×C4#1062535012yes—
529C22×C4D4×D4712yes—
530C22×C4D4×D4712yes—
531C22×C4#1062535212yes—
532C22×C4#1062535212yes—
533C22×C4C22×Dic4712yes—
534C22×C4C22×Dic4712yes—
535C22×C4C22×Dic4712yes—
536C22×C4C22×Dic4712yes—
537C22×C4C22×Dic4712yes—
538C22×C4C22×Dic4712yes—
539C4⋊C4—9416no—
540C22⋊C4—28no—
541C22⋊C4—9416no—
542C22⋊C4—9416no—
543C22⋊C4C4×Dic47116yescomplemented
544C42—28no—
545C42—28no—
546C42—9416no—
547C42—9416no—
548C42—948no—
549C42—948no—
550C42—1884no—
551C42—1884no—
552C23—22no—
553C23—22no—
554C23—24no—
555C23—24no—
556C23—22no—
557C23—22no—
558C23—24no—
559C23—24no—
560C23—24no—
561C23—24no—
562C23—22no—
563C23—22no—
564C23—41no—
565C23—41no—
566C23—42no—
567C23—41no—
568C23—41no—
569C23—42no—
570C23—42no—
571C23—42no—
572C23—42no—
573C23—42no—
574C23C2×C4×Dic4714yes—
575C23C22×C4×D4712yes—
576C23C23×Dic4711yescharacteristic
577C23C2×D4×D4711yescharacteristic
578C23C2×D4×D4711yescharacteristic
579C23#41×D4712yes—
580C23#41×D4712yes—
581C23C2×#1062535211yescharacteristic
582C23C2×#1062535211yescharacteristic
583C23C2×#1062535011yescharacteristic
584C23C2×#1062535011yescharacteristic
585C23C2×#1062535012yes—
586C2×C4—24no—
587C2×C4—24no—
588C2×C4—22no—
589C2×C4—22no—
590C2×C4—22no—
591C2×C4—24no—
592C2×C4—24no—
593C2×C4—22no—
594C2×C4—22no—
595C2×C4—22no—
596C2×C4—24no—
597C2×C4—24no—
598C2×C4—22no—
599C2×C4—22no—
600C2×C4—22no—
601C2×C4—22no—
602C2×C4—22no—
603C2×C4—22no—
604C2×C4—41no—
605C2×C4—41no—
606C2×C4—41no—
607C2×C4—41no—
608C2×C4—42no—
609C2×C4—42no—
610C2×C4—416no—
611C2×C4—478no—
612C2×C4—478no—
613C2×C4—944no—
614C2×C4—944no—
615C2×C4—944no—
616C2×C4—944no—
617C2×C4—944no—
618C2×C4—944no—
619C2×C4—944no—
620C2×C4—944no—
621C2×C4—944no—
622C2×C4—944no—
623C2×C4—944no—
624C2×C4—944no—
625C2×C4—944no—
626C2×C4—944no—
627C2×C4—944no—
628C2×C4—944no—
629C2×C4—944no—
630C2×C4—944no—
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×C4×Dic4714yes—
640C2×C4C2×C4×Dic4714yes—
641C2×C4#1309398314yes—
642C2×C4#1309398314yes—
643C2×C4D4×Dic4714yes—
644C2×C4D4×Dic4714yes—
645C2×C4#1309399714yes—
646C2×C4#1309400614yes—
647C2×C4#1309401014yes—
648C2×C4#1309401714yes—
649C22—24no—
650C22—24no—
651C22—24no—
652C22—42no—
653C22—42no—
654C22—42no—
655C22—42no—
656C22—44no—
657C22—44no—
658C22—44no—
659C22—44no—
660C22C22×C4×Dic4711yescharacteristic
661C22C2×#1309398311yescharacteristic
662C22C2×#1309398311yescharacteristic
663C22C4×D4×D4712yes—
664C22C4×D4×D4712yes—
665C22C2×D4×Dic4711yescharacteristic
666C22C2×D4×Dic4711yescharacteristic
667C22C4×#1062535212yes—
668C22C4×#1062535212yes—
669C22C4×#1062535012yes—
670C22C4×#1062535012yes—
671C22#41×Dic4711yescharacteristic
672C22#41×Dic4711yescharacteristic
673C22C2×#1309399711yescharacteristic
674C22C2×#1309400611yescharacteristic
675C22#1568963212yes—
676C22C2×#1309401011yescharacteristic
677C22C2×#1309401711yescharacteristic
678C22#1568965112yes—
679C22#1568965112yes—
680C22#1568965312yes—
681C22#1568965512yes—
682C22#1568967012yes—
683C4—24no—
684C4—24no—
685C4—24no—
686C4—42no—
687C4—42no—
688C4—948no—
689C4—948no—
690C4—1884no—
691C4—1884no—
692C4#1568901618yesdirect product factor
693C2—44no—
694C2C4×#1309398311yescharacteristic
695C2C4×D4×Dic4711yescharacteristic
696C2C4×D4×Dic4711yescharacteristic
697C2C2×#1568901611yescharacteristic
698C2#2024583311yescharacteristic
699C2#2024585311yescharacteristic
700C2#2024588611yescharacteristic
701C2C4×#1309399712yes—
702C2C4×#1309400612yes—
703C2C4×#1309401012yes—
704C2C4×#1309401712yes—
subgroupG/H
centerC23×C4C22×D47
commutatorC22×C47C22×C42
FrattiniC24C23×D47
FittingC2×C4×C22⋊C4×C47C2
socle, cosocleC24×C47C24
prime radicalC25×C47C23
hypercenterC2×C4×C22⋊C4D47
hypocenterC47C4×#388
LCSG ▷ C22×C47 ▷ C47
UCSC1 ◁ C23×C4 ◁ C2×C4×C22⋊C4

Complements

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

NH ≅ G/Ntype
2. C2×C4×C4⋊Dic47C2semidirect
5. C2×C42×Dic47C2semidirect
7. #20241622C2semidirect
8. #20241613C2semidirect
9. C4×C47⋊#95C2semidirect
10. C4×C47⋊#95C2semidirect
21. #15689016C4direct (N × H)
38. C4×C22⋊C4×C47C4semidirect
47. C2×C4⋊Dic47C2×C4semidirect
69. C2×C4×Dic47C2×C4semidirect
77. C47⋊#95C2×C4semidirect
78. C47⋊#95C2×C4semidirect
187. C22⋊C4×C47C42semidirect
336. C4×C47#388semidirect
382. C4×C22⋊C4Dic47semidirect
393. C47C4×#388semidirect
543. C22⋊C4C4×Dic47semidirect
692. C4#15689016direct (N × H)

Maximal subgroups

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

subgroupindex
C2×#156890162
C2×C4×C4⋊Dic472
C2×C4×C22⋊Dic472
C2×C42×Dic472
#202416252
#202416222
#202416132
C4×C47⋊#952
C2×C4×C22⋊C4×C472
C4×#38847