Finite Group Databasebeta

← #26377166

Subgroups — #26377166

Order 12032.

2618 conjugacy classes of subgroups.

The subgroup lattice has 660 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×#13094002C211yesmaximal, characteristic
2#20246472C214yesmaximal, complemented
3#20246416C214yesmaximal, complemented
4#20246258C212yesmaximal, complemented
5#20246240C212yesmaximal
6#20246238C212yesmaximal
7C22⋊C4×Dic94C212yesmaximal, complemented
8#20246139C214yesmaximal, complemented
9#20245991C211yesmaximal, characteristic, complemented
10#20245988C211yesmaximal, characteristic, complemented
11C4×#13094002C214yesmaximal, complemented
12#20245769C211yesmaximal, characteristic
13#20245743C211yesmaximal, characteristic, complemented
14C4×C22⋊C4×D47C211yesmaximal, characteristic
15C47×#2274C211yesmaximal, characteristic, complemented
16C23×Dic94C2211yescharacteristic
17C23×C4×D47C2211yescharacteristic
18C2×#13094002C4116yescomplemented
19C2×#13094002C2212yes—
20C2×#13094002C2212yes—
21C2×#13094002C2212yes—
22C2×#13094002C2212yes—
23C2×C4×Dic94C2214yescomplemented
24C2×#13093981C2212yes—
25C2×#13093980C2212yes—
26C22×Dic47⋊C4C2211yescharacteristic
27C22×Dic47⋊C4C2211yescharacteristic
28C22×(C2×D47)⋊C4C2211yescharacteristic
29C22×(C2×D47)⋊C4C2211yescharacteristic
30C2×C22⋊C4×D47C2212yes—
31C2×C42×D47C2212yes—
32#15689029C2214yescomplemented
33#15689027C2214yescomplemented
34#15689027C2214yescomplemented
35#15689018C2214yescomplemented
36#15689015C2214yes—
37#15689014C2214yes—
38#15689014C2214yes—
39#15689013C2214yes—
40#15689009C2214yescomplemented
41#15689009C2214yescomplemented
42#15689007C2214yescomplemented
43#15689007C2214yescomplemented
44#15689005C2214yescomplemented
45#15689004C2214yescomplemented
46#15688997C2214yes—
47#15688994C2214yes—
48#15688986C2212yes—
49#15688985C2212yes—
50#15688984C2212yes—
51#15688983C2212yes—
52#15688982C2212yes—
53#15688981C2212yes—
54#15688981C2212yes—
55#15688978C2212yes—
56C4×Dic47⋊C4C2214yescomplemented
57C4×Dic47⋊C4C2214yescomplemented
58#15688974C2214yescomplemented
59C22⋊C4×Dic47C2212yes—
60C22⋊C4×Dic47C2212yes—
61C4×(C2×D47)⋊C4C2212yes—
62C4×(C2×D47)⋊C4C2212yes—
63C4×(C2×D47)⋊C4C2214yes—
64C4×(C2×D47)⋊C4C2214yes—
65C4×C22⋊Dic47C2211yescharacteristic
66C4×C22⋊Dic47C2211yescharacteristic
67#15688970C2212yes—
68#95×D47C2212yes—
69C2×#117×C47C2212yes—
70C22×C4⋊C4×C47C2211yescharacteristic
71C4×C4⋊C4×C47C2214yescomplemented
72C4×C4⋊C4×C47C2214yescomplemented
73C4×C22⋊C4×C47C2211yescharacteristic
74C4×C22⋊C4×C47C2212yes—
75C4×C22⋊C4×C47C2211yescharacteristic
76C24×D47C2311yescharacteristic
77C22×Dic94—44no—
78C22×Dic94C2×C418yescomplemented
79C22×Dic94C2312yes—
80C22×Dic94C2312yes—
81C23×Dic47C2311yescharacteristic
82C23×Dic47C2311yescharacteristic
83C23×Dic47C2311yescharacteristic
84C22×C4×D47—44no—
85C22×C4×D47C2×C418yes—
86C22×C4×D47C2314yes—
87C22×C4×D47C2311yescharacteristic
88C22×C4×D47C2311yescharacteristic
89C22×C4×D47C2311yescharacteristic
90C22×C4×D47C2311yescharacteristic
91#13094002C2×C4116yes—
92#13094002C2×C4116yes—
93#13094002C2×C4116yescomplemented
94#13094002C2×C4116yescomplemented
95C4×Dic94—48no—
96#13093981—44no—
97#13093980—28no—
98C2×C4⋊Dic47C2314yes—
99C2×Dic47⋊C4C2×C418yescomplemented
100C2×Dic47⋊C4C2×C418yescomplemented
101C2×Dic47⋊C4C2314yes—
102C2×Dic47⋊C4C2314yes—
103C2×Dic47⋊C4C2314yes—
104C2×Dic47⋊C4C2312yes—
105C2×Dic47⋊C4C2312yes—
106C2×Dic47⋊C4C2312yes—
107C2×Dic47⋊C4C2312yes—
108C2×C22⋊Dic47C2312yes—
109C2×C22⋊Dic47C2312yes—
110C2×(C2×D47)⋊C4C2×C418yes—
111C2×(C2×D47)⋊C4C2×C418yes—
112C2×(C2×D47)⋊C4C2314yes—
113C2×(C2×D47)⋊C4C2314yes—
114C2×(C2×D47)⋊C4C2314yes—
115C2×(C2×D47)⋊C4C2312yes—
116C2×(C2×D47)⋊C4C2312yes—
117C2×(C2×D47)⋊C4C2312yes—
118C2×(C2×D47)⋊C4C2312yes—
119C22⋊C4×D47—28no—
120C2×C4×Dic47C2314yes—
121C2×C4×Dic47C2314yes—
122C2×C4×Dic47C2312yes—
123C2×C4×Dic47C2312yes—
124C2×C4×Dic47C2314yes—
125C42×D47—44no—
126C47⋊#95C2312yes—
127C47⋊#95C2314yes—
128C47⋊#95C2312yes—
129C47⋊#95C2314yes—
130C47⋊#95C2314yes—
131C47⋊#95C2314yes—
132C47⋊#95C2314yes—
133C47⋊#95C2314yes—
134C47⋊#95C2314yes—
135C47⋊#95C2314yes—
136C47⋊#95C2314yes—
137C23×C4×C47C2311yescharacteristic
138C23×C4×C47C2311yescharacteristic
139C23×C4×C47C2311yescharacteristic
140#117×C47—28no—
141C2×C4⋊C4×C47C2×C418yescomplemented
142C2×C4⋊C4×C47C2314yes—
143C2×C4⋊C4×C47C2312yes—
144C2×C4⋊C4×C47C2312yes—
145C2×C22⋊C4×C47C2312yes—
146C2×C22⋊C4×C47C2312yes—
147C2×C42×C47C2314yes—
148C2×C42×C47C2312yes—
149C2×C42×C47C2312yes—
150C2×C42×C47C2314yes—
151#95×C47C2312yes—
152#95×C47C2312yes—
153#95×C47C2314yes—
154C24×C47C2411yescharacteristic
155C23×D47—24no—
156C23×D47—24no—
157C23×D47—42no—
158C23×D47C22×C414yes—
159C23×D47C2411yescharacteristic
160C23×D47C2411yescharacteristic
161C22×C4×C47—24no—
162C22×C4×C47—42no—
163C22×C4×C47—42no—
164C22×C4×C47C22×C414yes—
165C22×C4×C47C22×C414yes—
166C22×C4×C47C22×C414yes—
167C22×C4×C47C2414yes—
168C22×C4×C47C2412yes—
169C22×C4×C47C2411yescharacteristic
170C22×C4×C47C2411yescharacteristic
171C22×C4×C47C2412yes—
172C22×C4×C47C2414yes—
173C22×Dic47—24no—
174C22×Dic47—24no—
175C22×Dic47—42no—
176C22×Dic47C22×C414yes—
177C22×Dic47C22×C414yes—
178C22×Dic47C22×C414yes—
179C22×Dic47C2414yes—
180C22×Dic47C2414yes—
181C22×Dic47C2411yescharacteristic
182C22×Dic47C2412yes—
183C22×Dic47C2412yes—
184C22×Dic47C2411yescharacteristic
185C2×C4×D47—24no—
186C2×C4×D47—24no—
187C2×C4×D47—28no—
188C2×C4×D47—28no—
189C2×C4×D47—416no—
190C2×C4×D47—44no—
191C2×C4×D47—42no—
192C2×C4×D47—42no—
193C2×C4×D47C22×C414yes—
194C2×C4×D47C22×C414yes—
195C2×C4×D47C22×C414yes—
196C2×C4×D47C22×C414yes—
197C2×Dic94—28no—
198C2×Dic94—416no—
199C2×Dic94—44no—
200C2×Dic94C22×C418yes—
201C2×Dic94C22×C418yes—
202C4⋊C4×C47—28no—
203C4⋊C4×C47C22×C418yes—
204C4⋊C4×C47C22×C418yes—
205C22⋊C4×C47—24no—
206C22⋊C4×C47#4118yes—
207C42×C47—28no—
208C42×C47—42no—
209C42×C47—42no—
210C42×C47—44no—
211C22⋊Dic47—24no—
212C22⋊Dic47—24no—
213(C2×D47)⋊C4—28no—
214(C2×D47)⋊C4—28no—
215(C2×D47)⋊C4—44no—
216(C2×D47)⋊C4C22×C418yes—
217(C2×D47)⋊C4C22×C418yes—
218(C2×D47)⋊C4C22×C418yes—
219(C2×D47)⋊C4C22×C418yes—
220C4⋊Dic47—44no—
221Dic47⋊C4—28no—
222Dic47⋊C4—28no—
223Dic47⋊C4—44no—
224Dic47⋊C4C22×C418yes—
225Dic47⋊C4C22×C418yes—
226Dic47⋊C4C22×C418yes—
227Dic47⋊C4C22×C418yes—
228C4×Dic47—28no—
229C4×Dic47—28no—
230C4×Dic47—42no—
231C4×Dic47—42no—
232C4×Dic47—44no—
233C23×C47—22no—
234C23×C47—22no—
235C23×C47C23×C412yes—
236C23×C47C2×#4114yes—
237C23×C47C2511yescharacteristic
238C22×D47—22no—
239C22×D47—22no—
240C22×D47—28no—
241C22×D47—22no—
242C22×D47—22no—
243C22×D47—22no—
244C22×D47—28no—
245C22×D47—44no—
246C22×D47—416no—
247C22×D47C23×C412yes—
248C22×D47C23×C412yes—
249C22×D472−1+414yes—
250C2×C4×C47—28no—
251C2×C4×C47—22no—
252C2×C4×C47—22no—
253C2×C4×C47—24no—
254C2×C4×C47—22no—
255C2×C4×C47—22no—
256C2×C4×C47—24no—
257C2×C4×C47—24no—
258C2×C4×C47—24no—
259C2×C4×C47—24no—
260C2×C4×C47—24no—
261C2×C4×C47—44no—
262C2×C4×C47—44no—
263C2×C4×C47C23×C414yes—
264C2×C4×C47C23×C412yes—
265C2×C4×C47C23×C412yes—
266C2×C4×C47C23×C414yes—
267C2×C4×C47C2×#4118yes—
268C2×Dic47—28no—
269C2×Dic47—22no—
270C2×Dic47—22no—
271C2×Dic47—24no—
272C2×Dic47—22no—
273C2×Dic47—28no—
274C2×Dic47—24no—
275C2×Dic47—24no—
276C2×Dic47—24no—
277C2×Dic47—24no—
278C2×Dic47—24no—
279C2×Dic47—24no—
280C2×Dic47—44no—
281C2×Dic47C23×C414yes—
282C2×Dic47C23×C414yes—
283C2×Dic47C23×C412yes—
284C2×Dic47C23×C412yes—
285C2×Dic47H(5,𝔽2)14yes—
286C4×D47—28no—
287C4×D47—28no—
288C4×D47—44no—
289C4×D47—44no—
290C4×D47—416no—
291Dic94—216no—
292Dic94—48no—
293#34245—471nomaximal, Sylow
294C22×C47—22no—
295C22×C47—22no—
296C22×C47—28no—
297C22×C47C4×#4114yes—
298C22×C47C24×C411yescharacteristic
299C22×C47C22×#4112yes—
300C22×C47C2×H(5,𝔽2)12yes—
301C22×C47C2×2−1+412yes—
302C2×D47—22no—
303C2×D47—22no—
304C2×D47—28no—
305C2×D47—22no—
306C2×D47—22no—
307C2×D47—22no—
308C2×D47—416no—
309C2×D47—44no—
310C2×D47#51914yes—
311C4×C47—24no—
312C4×C47—24no—
313C4×C47—22no—
314C4×C47—22no—
315C4×C47—28no—
316C4×C47—44no—
317Dic47—24no—
318Dic47—24no—
319Dic47—22no—
320Dic47—44no—
321Dic47—44no—
322Dic47#51814yes—
323C22×C22⋊Q8—471no—
324#2368—474no—
325#2362—474no—
326#2344—472no—
327#2342—472no—
328#2342—472no—
329Q8×C22⋊C4—472no—
330#2332—474no—
331#2313—471no—
332#2313—471no—
333C4×C22⋊Q8—474no—
334#2280—471no—
335#2274—471no—
336#2274D4711yescharacteristic, complemented
337C2×C4×C22⋊C4—471no—
338C2×C47—24no—
339C2×C47C2×C4×#4111yescharacteristic
340C2×C47C2×#51811yescharacteristic
341C2×C47C2×#51911yescharacteristic
342C2×C47#352014yes—
343D47—24no—
344D47—42no—
345C23×Q8—471no—
346C24×C4—471no—
347C2×C22⋊Q8—4716no—
348C2×C22⋊Q8—472no—
349C2×C22⋊Q8—472no—
350C2×C22⋊Q8—472no—
351C2×C22⋊Q8—472no—
352C2×C4×Q8—474no—
353C2×#117—472no—
354C2×#117—472no—
355C2×#117C2×D4712yes—
356C22×C4⋊C4—471no—
357C22×C4⋊C4—471no—
358C22×C4⋊C4C2×D4711yescharacteristic
359C22×C22⋊C4—471no—
360C22×C22⋊C4—471no—
361C22×C22⋊C4—472no—
362C22×C42—472no—
363#391—474no—
364#391—474no—
365#391—474no—
366#389—474no—
367#388—474no—
368#388—474no—
369#388—474no—
370#388—474no—
371#387—474no—
372#387—474no—
373#387—474no—
374#387—474no—
375#387—474no—
376#387—474no—
377#385—474no—
378#385—474no—
379#381—472no—
380#381—472no—
381#381—472no—
382#380—472no—
383#380—472no—
384#380—472no—
385#380—472no—
386#379—472no—
387C4×C4⋊C4—474no—
388C4×C4⋊C4—474no—
389C4×C4⋊C4—474no—
390C4×C4⋊C4C2×D4714yescomplemented
391C4×C4⋊C4C2×D4714yescomplemented
392C4×C22⋊C4—471no—
393C4×C22⋊C4—471no—
394C4×C22⋊C4—472no—
395C4×C22⋊C4—472no—
396C4×C22⋊C4—472no—
397C4×C22⋊C4—474no—
398C4×C22⋊C4—474no—
399C4×C22⋊C4—472no—
400C4×C22⋊C4—472no—
401C4×C22⋊C4C2×D4711yescharacteristic
402C4×C22⋊C4C2×D4712yes—
403C4×C22⋊C4C2×D4711yescharacteristic
404C2×#95—472no—
405C47#3424511yescharacteristic, complemented, Sylow
406C25—471no—
407C22×Q8—478no—
408C22×Q8—472no—
409C22×Q8—472no—
410C22×Q8—1884no—
411C23×C4—471no—
412C23×C4—471no—
413C23×C4—471no—
414C23×C4—471no—
415C23×C4—471no—
416C23×C4—478no—
417C23×C4—471no—
418C23×C4—471no—
419C23×C4—474no—
420C23×C4—1884no—
421C23×C4C22×D4711yescharacteristic
422C23×C4C22×D4711yescharacteristic
423C23×C4C22×D4711yescharacteristic
424C22⋊Q8—4716no—
425C22⋊Q8—4716no—
426C22⋊Q8—4716no—
427C22⋊Q8—4716no—
428C4×Q8—1888no—
429#117—28no—
430#117—948no—
431#117—1884no—
432C2×C4⋊C4—478no—
433C2×C4⋊C4—478no—
434C2×C4⋊C4—472no—
435C2×C4⋊C4—472no—
436C2×C4⋊C4—472no—
437C2×C4⋊C4—472no—
438C2×C4⋊C4—474no—
439C2×C4⋊C4—474no—
440C2×C4⋊C4—474no—
441C2×C4⋊C4—474no—
442C2×C4⋊C4C4×D4718yescomplemented
443C2×C4⋊C4C22×D4714yes—
444C2×C4⋊C4C22×D4712yes—
445C2×C4⋊C4C22×D4712yes—
446C2×C22⋊C4—478no—
447C2×C22⋊C4—478no—
448C2×C22⋊C4—472no—
449C2×C22⋊C4—472no—
450C2×C22⋊C4—472no—
451C2×C22⋊C4—472no—
452C2×C22⋊C4—472no—
453C2×C22⋊C4—472no—
454C2×C22⋊C4—474no—
455C2×C22⋊C4—474no—
456C2×C22⋊C4—474no—
457C2×C22⋊C4—948no—
458C2×C22⋊C4C22×D4712yes—
459C2×C22⋊C4C22×D4712yes—
460C2×C42—474no—
461C2×C42—474no—
462C2×C42—472no—
463C2×C42—474no—
464C2×C42—472no—
465C2×C42—1884no—
466C2×C42C22×D4714yes—
467C2×C42C22×D4712yes—
468C2×C42C22×D4714yes—
469C2×C42C22×D4712yes—
470#95—472no—
471#95—474no—
472#95—472no—
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#95C22×D4712yes—
482#95C22×D4712yes—
483#95C22×D4714yes—
484C24—471no—
485C24—471no—
486C24—474no—
487C24—944no—
488C24—944no—
489C24—1882no—
490C24C23×D4711yescharacteristic
491C2×Q8—478no—
492C2×Q8—478no—
493C2×Q8—948no—
494C2×Q8—1884no—
495C2×Q8—18816no—
496C22×C4—24no—
497C22×C4—42no—
498C22×C4—42no—
499C22×C4—471no—
500C22×C4—474no—
501C22×C4—474no—
502C22×C4—471no—
503C22×C4—472no—
504C22×C4—472no—
505C22×C4—474no—
506C22×C4—474no—
507C22×C4—474no—
508C22×C4—474no—
509C22×C4—474no—
510C22×C4—474no—
511C22×C4—474no—
512C22×C4—944no—
513C22×C4—944no—
514C22×C4—948no—
515C22×C4—944no—
516C22×C4—944no—
517C22×C4—948no—
518C22×C4—1884no—
519C22×C4—1882no—
520C22×C4—1882no—
521C22×C4—18816no—
522C22×C4—1882no—
523C22×C4C2×C4×D4714yes—
524C22×C4C2×C4×D4714yes—
525C22×C4C2×C4×D4714yes—
526C22×C4C23×D4714yes—
527C22×C4C23×D4712yes—
528C22×C4C23×D4711yescharacteristic
529C22×C4C23×D4711yescharacteristic
530C22×C4C23×D4712yes—
531C22×C4C23×D4714yes—
532C4⋊C4—28no—
533C4⋊C4—478no—
534C4⋊C4—478no—
535C4⋊C4—478no—
536C4⋊C4—478no—
537C4⋊C4—948no—
538C4⋊C4—948no—
539C4⋊C4—1884no—
540C4⋊C4—1884no—
541C4⋊C4C2×C4×D4718yes—
542C4⋊C4C2×C4×D4718yes—
543C22⋊C4—24no—
544C22⋊C4—478no—
545C22⋊C4—478no—
546C22⋊C4—478no—
547C22⋊C4—478no—
548C22⋊C4—948no—
549C22⋊C4—944no—
550C22⋊C4—944no—
551C22⋊C4—948no—
552C22⋊C4—1884no—
553C22⋊C4#1062535018yes—
554C42—28no—
555C42—42no—
556C42—42no—
557C42—44no—
558C42—948no—
559C42—948no—
560C42—1882no—
561C42—1882no—
562C42—1884no—
563C23—22no—
564C23—22no—
565C23—472no—
566C23—474no—
567C23—472no—
568C23—948no—
569C23—942no—
570C23—942no—
571C23—948no—
572C23—942no—
573C23—942no—
574C23—942no—
575C23—1884no—
576C23—18816no—
577C23C22×C4×D4712yes—
578C23C2×#1062535014yes—
579C23C24×D4711yescharacteristic
580Q8—9416no—
581Q8—1888no—
582C2×C4—28no—
583C2×C4—22no—
584C2×C4—22no—
585C2×C4—24no—
586C2×C4—22no—
587C2×C4—22no—
588C2×C4—24no—
589C2×C4—24no—
590C2×C4—24no—
591C2×C4—24no—
592C2×C4—24no—
593C2×C4—44no—
594C2×C4—44no—
595C2×C4—472no—
596C2×C4—474no—
597C2×C4—474no—
598C2×C4—474no—
599C2×C4—472no—
600C2×C4—948no—
601C2×C4—948no—
602C2×C4—948no—
603C2×C4—948no—
604C2×C4—942no—
605C2×C4—942no—
606C2×C4—944no—
607C2×C4—942no—
608C2×C4—944no—
609C2×C4—944no—
610C2×C4—944no—
611C2×C4—944no—
612C2×C4—944no—
613C2×C4—944no—
614C2×C4—1884no—
615C2×C4—1884no—
616C2×C4—18816no—
617C2×C4—1884no—
618C2×C4C22×C4×D4714yes—
619C2×C4C22×C4×D4714yes—
620C2×C4C22×C4×D4712yes—
621C2×C4C22×C4×D4712yes—
622C2×C4C2×#1062535018yes—
623C22—22no—
624C22—22no—
625C22—28no—
626C22—474no—
627C22—942no—
628C22—942no—
629C22—948no—
630C22—942no—
631C22—942no—
632C22—942no—
633C22—18816no—
634C22—1884no—
635C22C4×#1062535014yes—
636C22C23×C4×D4711yescharacteristic
637C22C22×#1062535012yes—
638C22H(5,𝔽2)×D4712yes—
639C222−1+4×D4712yes—
640C4—24no—
641C4—22no—
642C4—22no—
643C4—24no—
644C4—28no—
645C4—44no—
646C4—474no—
647C4—944no—
648C4—942no—
649C4—944no—
650C4—1884no—
651C4—1884no—
652C2—24no—
653C2—944no—
654C2—1882no—
655C2C2×C4×#1062535011yescharacteristic
656C2#518×D4711yescharacteristic
657C2#519×D4711yescharacteristic
658C2#2025742714yes—
subgroupG/H
center, FrattiniC23C24×D47
commutatorC22×C47C24×C4
FittingC47×#2274C2
socle, cosocleC23×C47C25
prime radicalC24×D47C23
hypercenter#2274D47
hypocenterC47#34245
LCSG ▷ C22×C47 ▷ C47
UCSC1 ◁ C23 ◁ #2274

Complements

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

NH ≅ G/Ntype
2. #20246472C2semidirect
3. #20246416C2semidirect
4. #20246258C2semidirect
7. C22⋊C4×Dic94C2semidirect
8. #20246139C2semidirect
9. #20245991C2semidirect
10. #20245988C2semidirect
11. C4×#13094002C2semidirect
13. #20245743C2semidirect
15. C47×#2274C2semidirect
18. C2×#13094002C4semidirect
23. C2×C4×Dic94C22semidirect
32. #15689029C22semidirect
33. #15689027C22semidirect
34. #15689027C22semidirect
35. #15689018C22semidirect
40. #15689009C22semidirect
41. #15689009C22semidirect
42. #15689007C22semidirect
43. #15689007C22semidirect
44. #15689005C22semidirect
45. #15689004C22semidirect
56. C4×Dic47⋊C4C22semidirect
57. C4×Dic47⋊C4C22semidirect
58. #15688974C22semidirect
71. C4×C4⋊C4×C47C22semidirect
72. C4×C4⋊C4×C47C22semidirect
78. C22×Dic94C2×C4semidirect
93. #13094002C2×C4semidirect
94. #13094002C2×C4semidirect
99. C2×Dic47⋊C4C2×C4semidirect
100. C2×Dic47⋊C4C2×C4semidirect
141. C2×C4⋊C4×C47C2×C4semidirect
336. #2274D47semidirect
390. C4×C4⋊C4C2×D47semidirect
391. C4×C4⋊C4C2×D47semidirect
405. C47#34245semidirect
442. C2×C4⋊C4C4×D47semidirect

Maximal subgroups

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

subgroupindex
C22×#130940022
#202464722
#202464162
#202462582
#202462402
#202462382
C22⋊C4×Dic942
#202461392
#202459912
#202459882
C4×#130940022
#202457692
#202457432
C4×C22⋊C4×D472
C47×#22742
#3424547