Finite Group Databasebeta

← C4×#15689013 #26137441

Subgroups — C4×#15689013 #26137441

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×#15689013C212yesmaximal
2C2×C4×(C2×D47)⋊C4C211yesmaximal, characteristic
3C2×C4×(C2×D47)⋊C4C211yesmaximal, characteristic
4C2×C4×(C2×D47)⋊C4C211yesmaximal, characteristic
5C2×C42×Dic47C211yesmaximal, characteristic, complemented
6#20241624C212yesmaximal
7#20241620C212yesmaximal, complemented
8#20241614C212yesmaximal, complemented
9C4×C47⋊#95C211yesmaximal, characteristic, complemented
10C4×C47⋊#95C211yesmaximal, characteristic, complemented
11C2×C4×C4⋊C4×C47C211yesmaximal, characteristic, complemented
12C23×C4×D47C2211yescharacteristic
13C22×(C2×D47)⋊C4C2212yes—
14C22×(C2×D47)⋊C4C2212yes—
15C22×(C2×D47)⋊C4C2211yescharacteristic
16C22×(C2×D47)⋊C4C2211yescharacteristic
17C22×C4×Dic47C2211yescharacteristic
18C22×C4×Dic47C2212yes—
19C22×C4×Dic47C2211yescharacteristic
20C22×C4×Dic47C2212yes—
21C22×C4×Dic47C2211yescharacteristic
22#15689013C4116yesdirect product factor
23C4×(C2×D47)⋊C4—24no—
24C4×(C2×D47)⋊C4—24no—
25C4×(C2×D47)⋊C4C418yescomplemented
26C2×C47⋊#95C2212yes—
27C2×C47⋊#95C2212yes—
28C2×C47⋊#95C2212yes—
29C2×C47⋊#95C2212yes—
30C2×C47⋊#95C2211yescharacteristic
31C2×C47⋊#95C2211yescharacteristic
32C2×C47⋊#95C2212yes—
33C2×C47⋊#95C2212yes—
34C42×Dic47—24no—
35C22×C4⋊C4×C47C2212yes—
36C22×C42×C47C2211yescharacteristic
37C22×C42×C47C2211yescharacteristic
38C22×C42×C47C2211yescharacteristic
39C4×C4⋊C4×C47—24no—
40C2×#95×C47C2212yes—
41C24×D47C2311yescharacteristic
42C23×Dic47C2311yescharacteristic
43C23×Dic47C2312yes—
44C23×Dic47C2311yescharacteristic
45C23×Dic47C2312yes—
46C23×Dic47C2311yescharacteristic
47C22×C4×D47—22no—
48C22×C4×D47—22no—
49C22×C4×D47—22no—
50C22×C4×D47—22no—
51C22×C4×D47—22no—
52C22×C4×D47—22no—
53C22×C4×D47C2×C414yes—
54C2×(C2×D47)⋊C4—24no—
55C2×(C2×D47)⋊C4—24no—
56C2×(C2×D47)⋊C4—24no—
57C2×(C2×D47)⋊C4—24no—
58C2×(C2×D47)⋊C4—24no—
59C2×(C2×D47)⋊C4C2×C414yes—
60C2×(C2×D47)⋊C4C2×C418yes—
61C2×(C2×D47)⋊C4C2×C418yes—
62C2×(C2×D47)⋊C4C2×C414yes—
63C2×(C2×D47)⋊C4C2×C418yes—
64C2×C4×Dic47—22no—
65C2×C4×Dic47—24no—
66C2×C4×Dic47—22no—
67C2×C4×Dic47—22no—
68C2×C4×Dic47—22no—
69C2×C4×Dic47—24no—
70C2×C4×Dic47—24no—
71C2×C4×Dic47—24no—
72C2×C4×Dic47—24no—
73C2×C4×Dic47—22no—
74C2×C4×Dic47—22no—
75C2×C4×Dic47—22no—
76C2×C4×Dic47C2×C414yes—
77C2×C4×Dic47C2×C418yescomplemented
78C2×C4×Dic47D414yes—
79C47⋊#95—24no—
80C47⋊#95—24no—
81C47⋊#95—24no—
82C47⋊#95—24no—
83C47⋊#95C2×C414yes—
84C47⋊#95C2×C414yes—
85C47⋊#95C2×C418yescomplemented
86C47⋊#95C2×C418yescomplemented
87C23×C4×C47C2312yes—
88C23×C4×C47C2311yescharacteristic
89C23×C4×C47C2311yescharacteristic
90C23×C4×C47C2312yes—
91C23×C4×C47C2311yescharacteristic
92C2×C4⋊C4×C47—24no—
93C2×C4⋊C4×C47—24no—
94C2×C4⋊C4×C47C2×C418yescomplemented
95C2×C42×C47—22no—
96C2×C42×C47—22no—
97C2×C42×C47—22no—
98C2×C42×C47—22no—
99C2×C42×C47—22no—
100C2×C42×C47—22no—
101C2×C42×C47—22no—
102C2×C42×C47C2×C414yes—
103C2×C42×C47D414yes—
104#95×C47—24no—
105C24×C47C2411yescharacteristic
106C23×D47—21no—
107C23×D47—21no—
108C23×D47—22no—
109C23×D47—22no—
110C23×D47—22no—
111C23×D47—21no—
112C23×D47—21no—
113C23×D47—21no—
114C23×D47—21no—
115C23×D47C22×C414yes—
116C23×D47C22×C412yes—
117C22×C4×C47—21no—
118C22×C4×C47—22no—
119C22×C4×C47—21no—
120C22×C4×C47—22no—
121C22×C4×C47—22no—
122C22×C4×C47—22no—
123C22×C4×C47—22no—
124C22×C4×C47—22no—
125C22×C4×C47—22no—
126C22×C4×C47—21no—
127C22×C4×C47—21no—
128C22×C4×C47—22no—
129C22×C4×C47—22no—
130C22×C4×C47—22no—
131C22×C4×C47—22no—
132C22×C4×C47—22no—
133C22×C4×C47—22no—
134C22×C4×C47C22×C412yes—
135C22×C4×C47C22×C414yes—
136C22×C4×C47C22×C412yes—
137C22×C4×C47C22×C414yes—
138C22×C4×C47C22×C414yes—
139C22×C4×C47C22×C412yes—
140C22×C4×C47C2×D414yes—
141C22×C4×C47C2×D412yes—
142C22×C4×C47C2×D412yes—
143C22×C4×C47#4114yes—
144C22×C4×C47#4112yes—
145C22×C4×C47#4112yes—
146C22×C4×C47#4112yes—
147C22×C4×C47#4112yes—
148C22×Dic47—21no—
149C22×Dic47—21no—
150C22×Dic47—22no—
151C22×Dic47—21no—
152C22×Dic47—21no—
153C22×Dic47—22no—
154C22×Dic47—22no—
155C22×Dic47—22no—
156C22×Dic47—22no—
157C22×Dic47—22no—
158C22×Dic47—21no—
159C22×Dic47—21no—
160C22×Dic47—22no—
161C22×Dic47—22no—
162C22×Dic47—22no—
163C22×Dic47—22no—
164C22×Dic47—22no—
165C22×Dic47—22no—
166C22×Dic47—21no—
167C22×Dic47—21no—
168C22×Dic47—21no—
169C22×Dic47—21no—
170C22×Dic47C22×C412yes—
171C22×Dic47C22×C414yes—
172C22×Dic47C22×C412yes—
173C22×Dic47C22×C414yes—
174C22×Dic47C22×C412yes—
175C22×Dic47C22×C414yes—
176C22×Dic47C2×D414yes—
177C22×Dic47#4114yes—
178C22×Dic47#4114yes—
179C2×C4×D47—28no—
180C2×C4×D47—28no—
181C2×C4×D47—28no—
182C2×C4×D47—44no—
183C2×C4×D47—44no—
184C2×C4×D47—44no—
185C2×C4×D47—44no—
186C4⋊C4×C47—216no—
187C42×C47—28no—
188C42×C47—28no—
189C42×C47—44no—
190(C2×D47)⋊C4—216no—
191(C2×D47)⋊C4—28no—
192(C2×D47)⋊C4—216no—
193(C2×D47)⋊C4C42116yescomplemented
194C4×Dic47—216no—
195C4×Dic47—28no—
196C4×Dic47—28no—
197C4×Dic47—216no—
198C4×Dic47—44no—
199C23×C47C23×C411yescharacteristic
200C23×C47C23×C412yes—
201C23×C47C22×D411yescharacteristic
202C23×C47C22×D411yescharacteristic
203C23×C47C2×#4112yes—
204C23×C47C2×#4112yes—
205C23×C47C2×#4111yescharacteristic
206C23×C47C2×#4111yescharacteristic
207C23×C47C2×#4112yes—
208C23×C47C2×#4111yescharacteristic
209C23×C47C2×#4111yescharacteristic
210C22×D47—22no—
211C22×D47—22no—
212C22×D47—24no—
213C22×D47—24no—
214C22×D47—22no—
215C22×D47—22no—
216C22×D47—24no—
217C22×D47—22no—
218C22×D47—24no—
219C22×D47—22no—
220C22×D47—24no—
221C22×D47—24no—
222C22×D47—41no—
223C22×D47—41no—
224C22×D47—42no—
225C22×D47—41no—
226C22×D47—41no—
227C22×D47—42no—
228C22×D47—42no—
229C22×D47—42no—
230C22×D47—42no—
231C22×D47—42no—
232C22×D47C2×C4214yes—
233C2×C4×C47—24no—
234C2×C4×C47—22no—
235C2×C4×C47—24no—
236C2×C4×C47—24no—
237C2×C4×C47—24no—
238C2×C4×C47—22no—
239C2×C4×C47—24no—
240C2×C4×C47—24no—
241C2×C4×C47—24no—
242C2×C4×C47—24no—
243C2×C4×C47—22no—
244C2×C4×C47—24no—
245C2×C4×C47—22no—
246C2×C4×C47—24no—
247C2×C4×C47—24no—
248C2×C4×C47—22no—
249C2×C4×C47—42no—
250C2×C4×C47—42no—
251C2×C4×C47—42no—
252C2×C4×C47—42no—
253C2×C4×C47—42no—
254C2×C4×C47—42no—
255C2×C4×C47C2×C4214yes—
256C2×C4×C47#11714yes—
257C2×C4×C47C4×D418yes—
258C2×C4×C47C4×D414yes—
259C2×C4×C47C4×D414yes—
260C2×C4×C47#12114yes—
261C2×C4×C47#12314yes—
262C2×C4×C47#12414yes—
263C2×C4×C47#12614yes—
264C2×Dic47—24no—
265C2×Dic47—22no—
266C2×Dic47—22no—
267C2×Dic47—22no—
268C2×Dic47—22no—
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—22no—
279C2×Dic47—24no—
280C2×Dic47—22no—
281C2×Dic47—22no—
282C2×Dic47—24no—
283C2×Dic47—24no—
284C2×Dic47—41no—
285C2×Dic47—41no—
286C2×Dic47—42no—
287C2×Dic47—41no—
288C2×Dic47—41no—
289C2×Dic47—42no—
290C2×Dic47—42no—
291C2×Dic47—42no—
292C2×Dic47C2×C4214yes—
293C2×Dic47#11714yes—
294C2×Dic47C4×D418yes—
295C4×D47—416no—
296C4×#388—471nomaximal, Sylow
297C22×C47C22×C4211yescharacteristic
298C22×C47C2×#11711yescharacteristic
299C22×C47C2×#11711yescharacteristic
300C22×C47C2×C4×D412yes—
301C22×C47C2×C4×D411yescharacteristic
302C22×C47C2×C4×D412yes—
303C22×C47C2×C4×D411yescharacteristic
304C22×C47C4×#4112yes—
305C22×C47C4×#4111yescharacteristic
306C22×C47C4×#4112yes—
307C22×C47C4×#4111yescharacteristic
308C22×C47C4×#4112yes—
309C22×C47C4×#4112yes—
310C22×C47C2×#12111yescharacteristic
311C22×C47C2×#12311yescharacteristic
312C22×C47#52512yes—
313C22×C47C2×#12411yescharacteristic
314C22×C47C2×#12611yescharacteristic
315C22×C47#52912yes—
316C22×C47#52912yes—
317C22×C47#52912yes—
318C22×C47#52912yes—
319C22×C47#53212yes—
320C2×D47—24no—
321C2×D47—24no—
322C2×D47—24no—
323C2×D47—44no—
324C2×D47—42no—
325C2×D47—42no—
326C2×D47—42no—
327C2×D47—42no—
328C2×D47—44no—
329C2×D47—44no—
330C2×D47—44no—
331C4×C47—24no—
332C4×C47—28no—
333C4×C47—42no—
334C4×C47—44no—
335C4×C47#38818yescomplemented
336Dic47—24no—
337Dic47—24no—
338Dic47—28no—
339Dic47—42no—
340Dic47—44no—
341C2×#388—472no—
342C2×C4×C4⋊C4D4711yescharacteristic, complemented
343C2×C4×C22⋊C4—471no—
344C2×C4×C22⋊C4—471no—
345C2×C4×C22⋊C4—471no—
346C2×C43—471no—
347#1437—472no—
348#1436—472no—
349#1434—472no—
350C4×#95—471no—
351C4×#95—471no—
352C2×C47C4×#11711yescharacteristic
353C2×C47C42×D411yescharacteristic
354C2×C47C42×D411yescharacteristic
355C2×C47C2×#38811yescharacteristic
356C2×C47#229011yescharacteristic
357C2×C47#229311yescharacteristic
358C2×C47#229811yescharacteristic
359C2×C47C4×#12112yes—
360C2×C47C4×#12312yes—
361C2×C47C4×#12412yes—
362C2×C47C4×#12612yes—
363D47—44no—
364C24×C4—471no—
365C22×C4⋊C4C2×D4712yes—
366C22×C22⋊C4—471no—
367C22×C22⋊C4—471no—
368C22×C22⋊C4—472no—
369C22×C22⋊C4—472no—
370C22×C42—472no—
371C22×C42—471no—
372C22×C42—471no—
373C22×C42—472no—
374C22×C42—471no—
375C22×C42C2×D4711yescharacteristic
376C22×C42C2×D4711yescharacteristic
377C22×C42C2×D4711yescharacteristic
378#388—4716no—
379C4×C4⋊C4—24no—
380C4×C22⋊C4—478no—
381C4×C22⋊C4—944no—
382C4×C22⋊C4—944no—
383C2×#95—472no—
384C2×#95—472no—
385C2×#95—471no—
386C2×#95—471no—
387C2×#95—472no—
388C2×#95—472no—
389C2×#95—472no—
390C2×#95—472no—
391C2×#95C2×D4712yes—
392C43—944no—
393C47C4×#38811yescharacteristic, complemented, Sylow
394C25—471no—
395C23×C4—471no—
396C23×C4—472no—
397C23×C4—471no—
398C23×C4—472no—
399C23×C4—471no—
400C23×C4—474no—
401C23×C4—942no—
402C23×C4—942no—
403C23×C4—942no—
404C23×C4—942no—
405C23×C4—942no—
406C23×C4—942no—
407C23×C4C22×D4712yes—
408C23×C4C22×D4711yescharacteristic
409C23×C4C22×D4711yescharacteristic
410C23×C4C22×D4712yes—
411C23×C4C22×D4711yescharacteristic
412C2×C4⋊C4—24no—
413C2×C4⋊C4—24no—
414C2×C4⋊C4C4×D4718yescomplemented
415C2×C22⋊C4—474no—
416C2×C22⋊C4—478no—
417C2×C22⋊C4—474no—
418C2×C22⋊C4—478no—
419C2×C22⋊C4—478no—
420C2×C22⋊C4—944no—
421C2×C22⋊C4—944no—
422C2×C22⋊C4—944no—
423C2×C22⋊C4—944no—
424C2×C22⋊C4—944no—
425C2×C42—22no—
426C2×C42—22no—
427C2×C42—22no—
428C2×C42—22no—
429C2×C42—22no—
430C2×C42—22no—
431C2×C42—22no—
432C2×C42—474no—
433C2×C42—478no—
434C2×C42—474no—
435C2×C42—944no—
436C2×C42—944no—
437C2×C42—944no—
438C2×C42—944no—
439C2×C42—944no—
440C2×C42—942no—
441C2×C42—942no—
442C2×C42—942no—
443C2×C42—942no—
444C2×C42—942no—
445C2×C42—942no—
446C2×C42—942no—
447C2×C42C4×D4714yes—
448C2×C42C22⋊D4714yes—
449#95—24no—
450#95—474no—
451#95—474no—
452#95—478no—
453#95—478no—
454#95—944no—
455#95—944no—
456#95—944no—
457#95—944no—
458C24—474no—
459C24—472no—
460C24—941no—
461C24—941no—
462C24—942no—
463C24—942no—
464C24—941no—
465C24—942no—
466C24—941no—
467C24—941no—
468C24—941no—
469C24C23×D4711yescharacteristic
470C22×C4—22no—
471C22×C4—21no—
472C22×C4—22no—
473C22×C4—22no—
474C22×C4—22no—
475C22×C4—21no—
476C22×C4—22no—
477C22×C4—22no—
478C22×C4—21no—
479C22×C4—22no—
480C22×C4—22no—
481C22×C4—22no—
482C22×C4—22no—
483C22×C4—22no—
484C22×C4—22no—
485C22×C4—21no—
486C22×C4—22no—
487C22×C4—474no—
488C22×C4—472no—
489C22×C4—472no—
490C22×C4—474no—
491C22×C4—474no—
492C22×C4—474no—
493C22×C4—474no—
494C22×C4—474no—
495C22×C4—472no—
496C22×C4—941no—
497C22×C4—941no—
498C22×C4—942no—
499C22×C4—942no—
500C22×C4—942no—
501C22×C4—942no—
502C22×C4—942no—
503C22×C4—941no—
504C22×C4—941no—
505C22×C4—942no—
506C22×C4—941no—
507C22×C4—941no—
508C22×C4—942no—
509C22×C4—942no—
510C22×C4—942no—
511C22×C4—941no—
512C22×C4—942no—
513C22×C4—941no—
514C22×C4—942no—
515C22×C4—942no—
516C22×C4—941no—
517C22×C4—941no—
518C22×C4—948no—
519C22×C4—948no—
520C22×C4—948no—
521C22×C4—1884no—
522C22×C4—1884no—
523C22×C4—1884no—
524C22×C4—1884no—
525C22×C4C2×C4×D4712yes—
526C22×C4C2×C4×D4714yes—
527C22×C4C2×C4×D4712yes—
528C22×C4C2×C4×D4714yes—
529C22×C4C2×C4×D4714yes—
530C22×C4C2×C4×D4712yes—
531C22×C4#1062535014yes—
532C22×C4#1062535012yes—
533C22×C4D4×D4712yes—
534C22×C4#1062535212yes—
535C22×C4#1062535412yes—
536C22×C4#1062535412yes—
537C22×C4C2×C22⋊D4714yes—
538C22×C4C2×C22⋊D4712yes—
539C4⋊C4—216no—
540C22⋊C4—4716no—
541C22⋊C4—948no—
542C22⋊C4—9416no—
543C22⋊C4—9416no—
544C42—28no—
545C42—28no—
546C42—44no—
547C42—9416no—
548C42—9416no—
549C42—948no—
550C42—948no—
551C42—1884no—
552C23—474no—
553C23—942no—
554C23—942no—
555C23—944no—
556C23—944no—
557C23—942no—
558C23—942no—
559C23—944no—
560C23—942no—
561C23—942no—
562C23—944no—
563C23—944no—
564C23—944no—
565C23—1881no—
566C23—1881no—
567C23—1882no—
568C23—1881no—
569C23—1881no—
570C23—1882no—
571C23—1882no—
572C23—1882no—
573C23—1882no—
574C23—1882no—
575C23C22×C4×D4711yescharacteristic
576C23C22×C4×D4712yes—
577C23C2×D4×D4711yescharacteristic
578C23C22×C22⋊D4711yescharacteristic
579C23#41×D4712yes—
580C23#41×D4712yes—
581C23C2×#1062535211yescharacteristic
582C23C2×#1062535011yescharacteristic
583C23C2×#1062535012yes—
584C23C2×#1062535411yescharacteristic
585C23C2×#1062535411yescharacteristic
586C2×C4—24no—
587C2×C4—22no—
588C2×C4—24no—
589C2×C4—24no—
590C2×C4—22no—
591C2×C4—24no—
592C2×C4—24no—
593C2×C4—24no—
594C2×C4—24no—
595C2×C4—24no—
596C2×C4—22no—
597C2×C4—24no—
598C2×C4—22no—
599C2×C4—24no—
600C2×C4—24no—
601C2×C4—22no—
602C2×C4—42no—
603C2×C4—42no—
604C2×C4—42no—
605C2×C4—42no—
606C2×C4—42no—
607C2×C4—42no—
608C2×C4—474no—
609C2×C4—474no—
610C2×C4—478no—
611C2×C4—944no—
612C2×C4—942no—
613C2×C4—942no—
614C2×C4—942no—
615C2×C4—942no—
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—942no—
626C2×C4—944no—
627C2×C4—942no—
628C2×C4—942no—
629C2×C4—944no—
630C2×C4—944no—
631C2×C4—1881no—
632C2×C4—1881no—
633C2×C4—1882no—
634C2×C4—1881no—
635C2×C4—1881no—
636C2×C4—1882no—
637C2×C4—1882no—
638C2×C4—1882no—
639C2×C4—18816no—
640C2×C4C42×D4714yes—
641C2×C4#1309398214yes—
642C2×C4C4×C22⋊D4718yes—
643C2×C4C4×C22⋊D4714yes—
644C2×C4#1309398614yes—
645C2×C4#1309399614yes—
646C2×C4#1309400914yes—
647C2×C4#1309401314yes—
648C2×C4#1309401914yes—
649C22—944no—
650C22—944no—
651C22—944no—
652C22—1882no—
653C22—1882no—
654C22—1882no—
655C22—1882no—
656C22—1884no—
657C22—1884no—
658C22—1884no—
659C22—1884no—
660C22C2×C42×D4711yescharacteristic
661C22#117×D4711yescharacteristic
662C22C2×#1309398211yescharacteristic
663C22C4×D4×D4712yes—
664C22C2×C4×C22⋊D4711yescharacteristic
665C22C2×C4×C22⋊D4712yes—
666C22C2×#1309398611yescharacteristic
667C22C4×#1062535212yes—
668C22#1568959111yescharacteristic
669C22C4×#1062535011yescharacteristic
670C22C4×#1062535012yes—
671C22C4×#1062535412yes—
672C22C4×#1062535412yes—
673C22C2×#1309399611yescharacteristic
674C22C2×#1309400911yescharacteristic
675C22#1568963212yes—
676C22C2×#1309401311yescharacteristic
677C22C2×#1309401911yescharacteristic
678C22#1568965112yes—
679C22#1568965312yes—
680C22#1568966012yes—
681C22#1568966012yes—
682C22#1568966912yes—
683C4—28no—
684C4—24no—
685C4—42no—
686C4—44no—
687C4—944no—
688C4—948no—
689C4—944no—
690C4—1882no—
691C4—1884no—
692C4#1568901318yesdirect product factor
693C2—1884no—
694C2C4×#1309398211yescharacteristic
695C2C4×#1309398611yescharacteristic
696C2C42×C22⋊D4711yescharacteristic
697C2C2×#1568901311yescharacteristic
698C2#2024582911yescharacteristic
699C2#2024584711yescharacteristic
700C2#2024588111yescharacteristic
701C2C4×#1309399612yes—
702C2C4×#1309400912yes—
703C2C4×#1309401312yes—
704C2C4×#1309401912yes—
subgroupG/H
centerC23×C4C22×D47
commutatorC22×C47C22×C42
FrattiniC24C23×D47
FittingC2×C4×C4⋊C4×C47C2
socle, cosocleC24×C47C24
prime radicalC24×D47C23
hypercenterC2×C4×C4⋊C4D47
hypocenterC47C4×#388
LCSG ▷ C22×C47 ▷ C47
UCSC1 ◁ C23×C4 ◁ C2×C4×C4⋊C4

Complements

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

NH ≅ G/Ntype
5. C2×C42×Dic47C2semidirect
7. #20241620C2semidirect
8. #20241614C2semidirect
9. C4×C47⋊#95C2semidirect
10. C4×C47⋊#95C2semidirect
11. C2×C4×C4⋊C4×C47C2semidirect
22. #15689013C4direct (N × H)
25. C4×(C2×D47)⋊C4C4semidirect
77. C2×C4×Dic47C2×C4semidirect
85. C47⋊#95C2×C4semidirect
86. C47⋊#95C2×C4semidirect
94. C2×C4⋊C4×C47C2×C4semidirect
193. (C2×D47)⋊C4C42semidirect
335. C4×C47#388semidirect
342. C2×C4×C4⋊C4D47semidirect
393. C47C4×#388semidirect
414. C2×C4⋊C4C4×D47semidirect
692. C4#15689013direct (N × H)

Maximal subgroups

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

subgroupindex
C2×#156890132
C2×C4×(C2×D47)⋊C42
C2×C42×Dic472
#202416242
#202416202
#202416142
C4×C47⋊#952
C2×C4×C4⋊C4×C472
C4×#38847