Finite Group Databasebeta

← #26137569

Subgroups — #26137569

Order 12032.

1582 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×#15689021C211yesmaximal, characteristic
2C2×#15689019C211yesmaximal, characteristic
3C2×C4⋊C4×Dic47C211yesmaximal, characteristic
4C2×C4⋊C4×Dic47C211yesmaximal, characteristic
5C2×#15688969C211yesmaximal, characteristic
6#20241623C212yesmaximal
7#20241619C212yesmaximal
8#20241617C211yesmaximal, characteristic
9Dic47⋊#95C212yesmaximal
10#20241612C212yesmaximal
11C47×C4⋊#95C211yesmaximal, characteristic
12C22×C4⋊Dic47C2211yescharacteristic
13C22×C4⋊Dic47C2211yescharacteristic
14C22×Dic47⋊C4C2212yes—
15C22×Dic47⋊C4C2212yes—
16C22×C4×Dic47C2211yescharacteristic
17C22×C4×Dic47C2212yes—
18C22×C4×Dic47C2212yes—
19C22×C4×Dic47C2211yescharacteristic
20#15689021C418yescomplemented
21#15689019C418yescomplemented
22C4⋊C4×Dic47—24no—
23C4⋊C4×Dic47C418yescomplemented
24#15688969—24no—
25C2×C47⋊#95C2211yescharacteristic
26C2×C47⋊#95C2212yes—
27C2×C47⋊#95C2211yescharacteristic
28C2×C47⋊#95C2211yescharacteristic
29C2×C47⋊#95C2211yescharacteristic
30C2×C47⋊#95C2212yes—
31C2×C47⋊#95C2212yes—
32C2×C47⋊#95C2212yes—
33C2×C47⋊#95C2212yes—
34C2×C47⋊#95C2212yes—
35C22×C4⋊C4×C47C2211yescharacteristic
36C22×C4⋊C4×C47C2211yescharacteristic
37C22×C42×C47C2211yescharacteristic
38C2×#95×C47C2212yes—
39C2×#95×C47C2212yes—
40C23×Dic47C2311yescharacteristic
41C23×Dic47C2311yescharacteristic
42C23×Dic47C2312yes—
43C23×Dic47C2312yes—
44C23×Dic47C2311yescharacteristic
45C23×Dic47C2311yescharacteristic
46C2×C4⋊Dic47—22no—
47C2×C4⋊Dic47—22no—
48C2×C4⋊Dic47C2×C414yes—
49C2×C4⋊Dic47C2×C414yes—
50C2×C4⋊Dic47C2×C414yes—
51C2×C4⋊Dic47C2×C414yes—
52C2×Dic47⋊C4—42no—
53C2×Dic47⋊C4—42no—
54C2×Dic47⋊C4—42no—
55C2×Dic47⋊C4—42no—
56C2×Dic47⋊C4C2×C418yes—
57C2×Dic47⋊C4C2×C418yes—
58C2×C4×Dic47—22no—
59C2×C4×Dic47—22no—
60C2×C4×Dic47—24no—
61C2×C4×Dic47—42no—
62C2×C4×Dic47—42no—
63C2×C4×Dic47—42no—
64C2×C4×Dic47—42no—
65C2×C4×Dic47C2×C414yes—
66C2×C4×Dic47C2×C418yes—
67C2×C4×Dic47C2×C414yes—
68C2×C4×Dic47D414yes—
69C2×C4×Dic47Q814yes—
70C47⋊#95—22no—
71C47⋊#95—22no—
72C47⋊#95—22no—
73C47⋊#95—22no—
74C47⋊#95—24no—
75C47⋊#95—42no—
76C47⋊#95—42no—
77C47⋊#95C2×C418yes—
78C47⋊#95C2×C418yes—
79C47⋊#95C2×C418yes—
80C23×C4×C47C2311yescharacteristic
81C23×C4×C47C2312yes—
82C23×C4×C47C2311yescharacteristic
83C23×C4×C47C2312yes—
84C23×C4×C47C2311yescharacteristic
85C2×C4⋊C4×C47—22no—
86C2×C4⋊C4×C47—22no—
87C2×C4⋊C4×C47—22no—
88C2×C4⋊C4×C47—22no—
89C2×C4⋊C4×C47C2×C414yes—
90C2×C4⋊C4×C47C2×C414yes—
91C2×C42×C47—22no—
92C2×C42×C47—22no—
93C2×C42×C47C2×C414yes—
94#95×C47—42no—
95#95×C47—42no—
96C24×C47C2411yescharacteristic
97C22×C4×C47—21no—
98C22×C4×C47—21no—
99C22×C4×C47—22no—
100C22×C4×C47—21no—
101C22×C4×C47—21no—
102C22×C4×C47—22no—
103C22×C4×C47—22no—
104C22×C4×C47—22no—
105C22×C4×C47—22no—
106C22×C4×C47—22no—
107C22×C4×C47—22no—
108C22×C4×C47—22no—
109C22×C4×C47—22no—
110C22×C4×C47—21no—
111C22×C4×C47—21no—
112C22×C4×C47—22no—
113C22×C4×C47—21no—
114C22×C4×C47—21no—
115C22×C4×C47—21no—
116C22×C4×C47—21no—
117C22×C4×C47—21no—
118C22×C4×C47—22no—
119C22×C4×C47—21no—
120C22×C4×C47—22no—
121C22×C4×C47C22×C412yes—
122C22×C4×C47C22×C412yes—
123C22×C4×C47C22×C414yes—
124C22×C4×C47C22×C414yes—
125C22×C4×C47C22×C412yes—
126C22×C4×C47C22×C412yes—
127C22×C4×C47C22×C412yes—
128C22×C4×C47C2×D412yes—
129C22×C4×C47C2×Q812yes—
130C22×C4×C47#4112yes—
131C22×C4×C47#4112yes—
132C22×Dic47—21no—
133C22×Dic47—21no—
134C22×Dic47—21no—
135C22×Dic47—21no—
136C22×Dic47—22no—
137C22×Dic47—22no—
138C22×Dic47—22no—
139C22×Dic47—21no—
140C22×Dic47—21no—
141C22×Dic47—22no—
142C22×Dic47—21no—
143C22×Dic47—21no—
144C22×Dic47—21no—
145C22×Dic47—21no—
146C22×Dic47—22no—
147C22×Dic47—21no—
148C22×Dic47—21no—
149C22×Dic47—22no—
150C22×Dic47—21no—
151C22×Dic47—21no—
152C22×Dic47—22no—
153C22×Dic47—22no—
154C22×Dic47—22no—
155C22×Dic47—21no—
156C22×Dic47—21no—
157C22×Dic47—21no—
158C22×Dic47—21no—
159C22×Dic47—21no—
160C22×Dic47—21no—
161C22×Dic47—22no—
162C22×Dic47C22×C412yes—
163C22×Dic47C22×C414yes—
164C22×Dic47C22×C412yes—
165C22×Dic47C22×C414yes—
166C22×Dic47C22×C414yes—
167C22×Dic47C22×C414yes—
168C22×Dic47C22×C412yes—
169C22×Dic47C22×C412yes—
170C22×Dic47C2×D412yes—
171C22×Dic47C2×D412yes—
172C22×Dic47C2×Q812yes—
173C22×Dic47C2×Q812yes—
174C4⋊C4×C47—28no—
175C4⋊C4×C47—28no—
176C42×C47—28no—
177C4⋊Dic47—28no—
178C4⋊Dic47C42116yescomplemented
179Dic47⋊C4—48no—
180Dic47⋊C4—48no—
181C4×Dic47—28no—
182C4×Dic47—48no—
183C4×Dic47—48no—
184C4×Dic47C4⋊C4116yescomplemented
185C23×C47C23×C411yescharacteristic
186C23×C47C23×C411yescharacteristic
187C23×C47C23×C411yescharacteristic
188C23×C47C22×D411yescharacteristic
189C23×C47C22×Q811yescharacteristic
190C23×C47C2×#4111yescharacteristic
191C23×C47C2×#4111yescharacteristic
192C23×C47H(5,𝔽2)11yescharacteristic
193C23×C47H(5,𝔽2)11yescharacteristic
194C23×C47H(5,𝔽2)11yescharacteristic
195C23×C47H(5,𝔽2)11yescharacteristic
196C23×C472−1+411yescharacteristic
197C23×C472−1+411yescharacteristic
198C23×C472−1+411yescharacteristic
199C23×C472−1+411yescharacteristic
200C2×C4×C47—24no—
201C2×C4×C47—22no—
202C2×C4×C47—22no—
203C2×C4×C47—24no—
204C2×C4×C47—24no—
205C2×C4×C47—22no—
206C2×C4×C47—24no—
207C2×C4×C47—22no—
208C2×C4×C47—24no—
209C2×C4×C47—24no—
210C2×C4×C47—22no—
211C2×C4×C47—22no—
212C2×C4×C47—42no—
213C2×C4×C47—41no—
214C2×C4×C47—41no—
215C2×C4×C47—41no—
216C2×C4×C47—42no—
217C2×C4×C47—41no—
218C2×C4×C47—42no—
219C2×C4×C47—41no—
220C2×C4×C47—42no—
221C2×C4×C47—42no—
222C2×C4×C47—41no—
223C2×C4×C47—42no—
224C2×C4×C47—41no—
225C2×C4×C47—42no—
226C2×C4×C47—42no—
227C2×C4×C47—41no—
228C2×C4×C47C2×C4214yes—
229C2×C4×C47C2×C4⋊C414yes—
230C2×C4×C47#11714yes—
231C2×C4×C47C4×D414yes—
232C2×C4×C47C4×D414yes—
233C2×C4×C47C4×Q814yes—
234C2×C4×C47C4×Q814yes—
235C2×Dic47—22no—
236C2×Dic47—24no—
237C2×Dic47—24no—
238C2×Dic47—24no—
239C2×Dic47—22no—
240C2×Dic47—22no—
241C2×Dic47—24no—
242C2×Dic47—22no—
243C2×Dic47—24no—
244C2×Dic47—24no—
245C2×Dic47—22no—
246C2×Dic47—22no—
247C2×Dic47—22no—
248C2×Dic47—22no—
249C2×Dic47—22no—
250C2×Dic47—22no—
251C2×Dic47—22no—
252C2×Dic47—22no—
253C2×Dic47—22no—
254C2×Dic47—22no—
255C2×Dic47—24no—
256C2×Dic47—22no—
257C2×Dic47—24no—
258C2×Dic47—22no—
259C2×Dic47—22no—
260C2×Dic47—24no—
261C2×Dic47—22no—
262C2×Dic47—42no—
263C2×Dic47—41no—
264C2×Dic47—41no—
265C2×Dic47—41no—
266C2×Dic47—41no—
267C2×Dic47—42no—
268C2×Dic47—42no—
269C2×Dic47—41no—
270C2×Dic47—41no—
271C2×Dic47—41no—
272C2×Dic47—41no—
273C2×Dic47—42no—
274C2×Dic47C2×C4218yes—
275C2×Dic47C2×C4⋊C414yes—
276C2×Dic47C2×C4⋊C414yes—
277#13783—471nomaximal, Sylow
278C22×C47C22×C4211yescharacteristic
279C22×C47C22×C4⋊C411yescharacteristic
280C22×C47C2×#11711yescharacteristic
281C22×C47C2×C4×D411yescharacteristic
282C22×C47C2×C4×D411yescharacteristic
283C22×C47C2×C4×Q811yescharacteristic
284C22×C47C2×C4×Q811yescharacteristic
285C22×C47#51811yescharacteristic
286C22×C47#51811yescharacteristic
287C22×C47#51811yescharacteristic
288C22×C47#51911yescharacteristic
289C22×C47#51911yescharacteristic
290C22×C47#51911yescharacteristic
291C22×C47#52011yescharacteristic
292C22×C47#52011yescharacteristic
293C22×C47#52011yescharacteristic
294C22×C47#52011yescharacteristic
295C22×C47#52011yescharacteristic
296C22×C47#52011yescharacteristic
297C22×C47#53511yescharacteristic
298C22×C47#53611yescharacteristic
299C22×C47#53711yescharacteristic
300C22×C47#53711yescharacteristic
301C22×C47#54011yescharacteristic
302C22×C47#54011yescharacteristic
303C22×C47#54111yescharacteristic
304C22×C47#54111yescharacteristic
305C22×C47#54211yescharacteristic
306C22×C47#54211yescharacteristic
307C22×C47#54211yescharacteristic
308C22×C47#54211yescharacteristic
309C22×C47#54411yescharacteristic
310C22×C47#54411yescharacteristic
311C22×C47#54411yescharacteristic
312C22×C47#54411yescharacteristic
313C4×C47—44no—
314C4×C47—42no—
315C4×C47—42no—
316C4×C47—44no—
317C4×C47C4×C4⋊C418yes—
318Dic47—24no—
319Dic47—24no—
320Dic47—28no—
321Dic47—42no—
322Dic47—44no—
323Dic47—42no—
324C2×#389—471no—
325C2×#389—471no—
326C2×C4×C4⋊C4—471no—
327C2×C4×C4⋊C4—471no—
328C2×#376—471no—
329#1436—472no—
330#1436—472no—
331C4⋊#95—472no—
332C4⋊#95—471no—
333C4⋊#95D4711yescharacteristic
334#1434—472no—
335C2×C47C2×C4×C4⋊C411yescharacteristic
336C2×C47#227511yescharacteristic
337C2×C47#227611yescharacteristic
338C2×C47#231611yescharacteristic
339C2×C47#231711yescharacteristic
340C2×C47#231911yescharacteristic
341C2×C47#232011yescharacteristic
342C2×C47#232311yescharacteristic
343C2×C47#232311yescharacteristic
344C2×C47#232411yescharacteristic
345C2×C47#232411yescharacteristic
346C2×C47#233011yescharacteristic
347C2×C47#233011yescharacteristic
348C2×C47#233111yescharacteristic
349C2×C47#233111yescharacteristic
350C22×C4⋊C4—471no—
351C22×C4⋊C4—471no—
352C22×C4⋊C4—472no—
353C22×C4⋊C4—472no—
354C22×C4⋊C4C2×D4711yescharacteristic
355C22×C4⋊C4C2×D4711yescharacteristic
356C22×C42—471no—
357C22×C42—471no—
358C22×C42—472no—
359C22×C42—472no—
360C22×C42C2×D4711yescharacteristic
361#389—478no—
362#389—478no—
363C4×C4⋊C4—478no—
364C4×C4⋊C4—944no—
365#376—944no—
366C2×#95—472no—
367C2×#95—472no—
368C2×#95—472no—
369C2×#95—471no—
370C2×#95—472no—
371C2×#95—471no—
372C2×#95—471no—
373C2×#95—471no—
374C2×#95—472no—
375C2×#95—472no—
376C2×#95C2×D4712yes—
377C2×#95C2×D4712yes—
378C47#1378311yescharacteristic, complemented, Sylow
379C23×C4—472no—
380C23×C4—471no—
381C23×C4—471no—
382C23×C4—472no—
383C23×C4—471no—
384C23×C4—471no—
385C23×C4C22×D4711yescharacteristic
386C23×C4C22×D4712yes—
387C23×C4C22×D4712yes—
388C23×C4C22×D4711yescharacteristic
389C23×C4C22×D4711yescharacteristic
390C2×C4⋊C4—22no—
391C2×C4⋊C4—22no—
392C2×C4⋊C4—22no—
393C2×C4⋊C4—22no—
394C2×C4⋊C4—474no—
395C2×C4⋊C4—474no—
396C2×C4⋊C4—474no—
397C2×C4⋊C4—474no—
398C2×C4⋊C4—478no—
399C2×C4⋊C4—478no—
400C2×C4⋊C4—942no—
401C2×C4⋊C4—942no—
402C2×C4⋊C4—1882no—
403C2×C4⋊C4—1882no—
404C2×C4⋊C4—1882no—
405C2×C4⋊C4—1882no—
406C2×C4⋊C4C4×D4714yes—
407C2×C4⋊C4C4×D4714yes—
408C2×C42—22no—
409C2×C42—22no—
410C2×C42—474no—
411C2×C42—474no—
412C2×C42—474no—
413C2×C42—474no—
414C2×C42—478no—
415C2×C42—942no—
416C2×C42—942no—
417C2×C42—944no—
418C2×C42—1882no—
419C2×C42—1882no—
420C2×C42—1882no—
421C2×C42—1882no—
422C2×C42C4×D4714yes—
423#95—42no—
424#95—42no—
425#95—478no—
426#95—478no—
427#95—478no—
428#95—942no—
429#95—942no—
430#95—942no—
431#95—942no—
432#95—944no—
433#95—1882no—
434#95—1882no—
435C24C23×D4711yescharacteristic
436C22×C4—21no—
437C22×C4—21no—
438C22×C4—22no—
439C22×C4—21no—
440C22×C4—21no—
441C22×C4—22no—
442C22×C4—22no—
443C22×C4—22no—
444C22×C4—21no—
445C22×C4—21no—
446C22×C4—22no—
447C22×C4—22no—
448C22×C4—22no—
449C22×C4—22no—
450C22×C4—22no—
451C22×C4—22no—
452C22×C4—21no—
453C22×C4—21no—
454C22×C4—21no—
455C22×C4—21no—
456C22×C4—22no—
457C22×C4—22no—
458C22×C4—21no—
459C22×C4—21no—
460C22×C4—472no—
461C22×C4—474no—
462C22×C4—474no—
463C22×C4—474no—
464C22×C4—472no—
465C22×C4—472no—
466C22×C4—472no—
467C22×C4—472no—
468C22×C4—472no—
469C22×C4—472no—
470C22×C4—474no—
471C22×C4—472no—
472C22×C4—941no—
473C22×C4—941no—
474C22×C4—942no—
475C22×C4—941no—
476C22×C4—941no—
477C22×C4—942no—
478C22×C4—942no—
479C22×C4—941no—
480C22×C4—941no—
481C22×C4—941no—
482C22×C4—941no—
483C22×C4—942no—
484C22×C4—941no—
485C22×C4—941no—
486C22×C4—942no—
487C22×C4—941no—
488C22×C4—941no—
489C22×C4—942no—
490C22×C4—941no—
491C22×C4—942no—
492C22×C4—941no—
493C22×C4—941no—
494C22×C4—942no—
495C22×C4—942no—
496C22×C4—941no—
497C22×C4—941no—
498C22×C4—941no—
499C22×C4—941no—
500C22×C4—942no—
501C22×C4—941no—
502C22×C4C2×C4×D4712yes—
503C22×C4C2×C4×D4714yes—
504C22×C4C2×C4×D4714yes—
505C22×C4C2×C4×D4712yes—
506C22×C4C2×C4×D4712yes—
507C22×C4C2×C4×D4712yes—
508C22×C4C2×C4×D4712yes—
509C22×C4D4×D4712yes—
510C22×C4#1062535212yes—
511C22×C4#1062535212yes—
512C22×C4Q8×D4712yes—
513C4⋊C4—28no—
514C4⋊C4—28no—
515C4⋊C4—4716no—
516C4⋊C4—948no—
517C4⋊C4—1888no—
518C4⋊C4—1888no—
519C42—28no—
520C42—4716no—
521C42—948no—
522C42—1888no—
523C42—1888no—
524C23C22×C4×D4711yescharacteristic
525C23C22×C4×D4711yescharacteristic
526C23C22×C4×D4711yescharacteristic
527C23C2×D4×D4711yescharacteristic
528C23C2×Q8×D4711yescharacteristic
529C23C2×#1062535211yescharacteristic
530C23C2×#1062535211yescharacteristic
531C23#1309406911yescharacteristic
532C23#1309406911yescharacteristic
533C23#1309407011yescharacteristic
534C23#1309407011yescharacteristic
535C23#1309407111yescharacteristic
536C23#1309407111yescharacteristic
537C23#1309407211yescharacteristic
538C23#1309407211yescharacteristic
539C2×C4—24no—
540C2×C4—22no—
541C2×C4—22no—
542C2×C4—24no—
543C2×C4—24no—
544C2×C4—24no—
545C2×C4—22no—
546C2×C4—22no—
547C2×C4—24no—
548C2×C4—24no—
549C2×C4—22no—
550C2×C4—22no—
551C2×C4—41no—
552C2×C4—42no—
553C2×C4—41no—
554C2×C4—42no—
555C2×C4—42no—
556C2×C4—41no—
557C2×C4—42no—
558C2×C4—41no—
559C2×C4—41no—
560C2×C4—41no—
561C2×C4—42no—
562C2×C4—41no—
563C2×C4—42no—
564C2×C4—41no—
565C2×C4—42no—
566C2×C4—42no—
567C2×C4—478no—
568C2×C4—474no—
569C2×C4—474no—
570C2×C4—942no—
571C2×C4—942no—
572C2×C4—942no—
573C2×C4—942no—
574C2×C4—942no—
575C2×C4—944no—
576C2×C4—944no—
577C2×C4—944no—
578C2×C4—942no—
579C2×C4—942no—
580C2×C4—944no—
581C2×C4—944no—
582C2×C4—944no—
583C2×C4—942no—
584C2×C4—942no—
585C2×C4—942no—
586C2×C4—942no—
587C2×C4—942no—
588C2×C4—942no—
589C2×C4—942no—
590C2×C4—944no—
591C2×C4—942no—
592C2×C4—944no—
593C2×C4—942no—
594C2×C4—942no—
595C2×C4—944no—
596C2×C4—942no—
597C2×C4—1881no—
598C2×C4—1881no—
599C2×C4—1881no—
600C2×C4—1882no—
601C2×C4—1882no—
602C2×C4—1881no—
603C2×C4—1881no—
604C2×C4—1881no—
605C2×C4—1881no—
606C2×C4—1882no—
607C2×C4—1882no—
608C2×C4—1881no—
609C2×C4C42×D4714yes—
610C2×C4C4⋊C4×D4714yes—
611C2×C4#1309398014yes—
612C2×C4(C22⋊D47)⋊C414yes—
613C2×C4(C22⋊D47)⋊C414yes—
614C2×C4#1309398914yes—
615C2×C4#1309398914yes—
616C22C2×C42×D4711yescharacteristic
617C22C2×C4⋊C4×D4711yescharacteristic
618C22C2×#1309398011yescharacteristic
619C22C2×(C22⋊D47)⋊C411yescharacteristic
620C22C2×(C22⋊D47)⋊C411yescharacteristic
621C22C2×#1309398911yescharacteristic
622C22C2×#1309398911yescharacteristic
623C22#1568959511yescharacteristic
624C22#1568959511yescharacteristic
625C22#1568959711yescharacteristic
626C22#1568959911yescharacteristic
627C22#1568959911yescharacteristic
628C22#1568960011yescharacteristic
629C22#1568960211yescharacteristic
630C22#1568960211yescharacteristic
631C22#1568960411yescharacteristic
632C22#1568960411yescharacteristic
633C22#1568960511yescharacteristic
634C22#1568960511yescharacteristic
635C22#1568968911yescharacteristic
636C22#1568969611yescharacteristic
637C22#1568970211yescharacteristic
638C22#1568970311yescharacteristic
639C22#1568972611yescharacteristic
640C22#1568972711yescharacteristic
641C22#1568973311yescharacteristic
642C22#1568973411yescharacteristic
643C22#1568974011yescharacteristic
644C22#1568974211yescharacteristic
645C22#1568974211yescharacteristic
646C22#1568974611yescharacteristic
647C22#1568975011yescharacteristic
648C22#1568975011yescharacteristic
649C22#1568975311yescharacteristic
650C22#1568975311yescharacteristic
651C4—44no—
652C4—42no—
653C4—42no—
654C4—44no—
655C4—944no—
656C4—948no—
657C4—944no—
658C4—1882no—
659C4—1884no—
660C4—1882no—
661C4#1568897418yes—
662C2C2×#1568897411yescharacteristic
663C2#2024574811yescharacteristic
664C2#2024575211yescharacteristic
665C2#2024600311yescharacteristic
666C2#2024601011yescharacteristic
667C2#2024602511yescharacteristic
668C2#2024603311yescharacteristic
669C2#2024606611yescharacteristic
670C2#2024607311yescharacteristic
671C2#2024607711yescharacteristic
672C2#2024608411yescharacteristic
673C2#2024612711yescharacteristic
674C2#2024612811yescharacteristic
675C2#2024613411yescharacteristic
676C2#2024613511yescharacteristic
subgroupG/H
center, FrattiniC24C23×D47
commutatorC22×C47C22×C42
FittingC47×C4⋊#95C2
socle, prime radical, cosocleC24×C47C24
hypercenterC4⋊#95D47
hypocenterC47#13783
LCSG ▷ C22×C47 ▷ C47
UCSC1 ◁ C24 ◁ C4⋊#95

Complements

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

NH ≅ G/Ntype
20. #15689021C4semidirect
21. #15689019C4semidirect
23. C4⋊C4×Dic47C4semidirect
178. C4⋊Dic47C42semidirect
184. C4×Dic47C4⋊C4semidirect
378. C47#13783semidirect

Maximal subgroups

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

subgroupindex
C2×#156890212
C2×#156890192
C2×C4⋊C4×Dic472
C2×#156889692
#202416232
#202416192
#202416172
Dic47⋊#952
#202416122
C47×C4⋊#952
#1378347