Finite Group Databasebeta

← #26377232

Subgroups — #26377232

Order 12032.

2834 conjugacy classes of subgroups.

The subgroup lattice has 686 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#15689596C211yesmaximal, characteristic
2#20246322C214yesmaximal, complemented
3#20246311C214yesmaximal, complemented
4#20246242C214yesmaximal, complemented
5#20246231C214yesmaximal, complemented
6#20246015C214yesmaximal, complemented
7#20246000C211yesmaximal, characteristic, complemented
8#20245963C211yesmaximal, characteristic
9#20245827C214yesmaximal, complemented
10C2×#15689000C211yesmaximal, characteristic
11C2×#15688995C211yesmaximal, characteristic, complemented
12C2×C22⋊C4×Dic47C211yesmaximal, characteristic, complemented
13C47×#2273C211yesmaximal, characteristic, complemented
14C23×C22⋊D47C2211yescharacteristic
15C24×Dic47C2211yescharacteristic
16#15689596C4116yescomplemented
17C2×C4×C22⋊D47C2214yes—
18C2×(C22⋊D47)⋊C4C2214yes—
19C2×#13093981C2214yescomplemented
20C2×#13093980C2212yes—
21C22×Dic47⋊C4C2212yescomplemented
22C22×C22⋊Dic47C2211yescharacteristic
23C22×C22⋊Dic47C2211yescharacteristic
24C22×(C2×D47)⋊C4C2212yes—
25C2×C22⋊C4×D47C2212yes—
26C22×C4×Dic47C2212yescomplemented
27#15689014C2214yescomplemented
28#15689014C2214yescomplemented
29#15689012C2214yescomplemented
30#15689012C2214yescomplemented
31#15689007C2214yescomplemented
32#15689007C2214yescomplemented
33#15689005C2214yescomplemented
34#15689005C2214yescomplemented
35#15689002C2212yes—
36#15689002C2212yes—
37#15689000C2214yes—
38#15689000C2212yes—
39#15689000C2212yes—
40#15689000C2214yes—
41#15688996C2214yes—
42#15688995C2214yes—
43#15688995C2212yescomplemented
44#15688995C2212yescomplemented
45#15688995C2214yescomplemented
46#15688990C2214yescomplemented
47#15688987C2214yescomplemented
48#15688985C2214yescomplemented
49#15688984C2212yes—
50#15688982C2214yescomplemented
51#15688981C2214yescomplemented
52#15688978C2212yes—
53C4×Dic47⋊C4C2214yescomplemented
54C22⋊C4×Dic47C2214yes—
55C22⋊C4×Dic47C2214yescomplemented
56C4×(C2×D47)⋊C4C2214yescomplemented
57#15688969C2214yescomplemented
58C2×C47⋊#95C2212yes—
59C2×C47⋊#95C2212yescomplemented
60C2×C47⋊#95C2212yescomplemented
61C22×C22⋊C4×C47C2211yescharacteristic
62C22×C22⋊C4×C47C2211yescharacteristic
63C22×C22⋊C4×C47C2211yescharacteristic
64C4×C22⋊C4×C47C2214yes—
65C4×C22⋊C4×C47C2212yescomplemented
66C4×C22⋊C4×C47C2212yescomplemented
67C4×C22⋊C4×C47C2214yescomplemented
68C24×D47C2311yescharacteristic
69C22×C22⋊D47—24no—
70C22×C22⋊D47—24no—
71C22×C22⋊D47C2×C418yes—
72C22×C22⋊D47C2312yes—
73C22×C22⋊D47C2312yes—
74C23×Dic47—24no—
75C23×Dic47—44no—
76C23×Dic47C2311yescharacteristic
77C23×Dic47C2312yes—
78C23×Dic47C2312yes—
79C23×Dic47C2311yescharacteristic
80C23×Dic47C2311yescharacteristic
81C23×Dic47C2312yes—
82C23×Dic47C2312yes—
83C22×C4×D47C2314yes—
84C4×C22⋊D47C2×C4132yescomplemented
85(C22⋊D47)⋊C4C2×C4132yescomplemented
86#13093981—48no—
87#13093980C2×C4116yescomplemented
88C2×Dic47⋊C4—44no—
89C2×Dic47⋊C4C2314yes—
90C2×Dic47⋊C4C2314yes—
91C2×Dic47⋊C4C2314yes—
92C2×Dic47⋊C4C2314yes—
93C2×Dic47⋊C4C2314yes—
94C2×C22⋊Dic47—24no—
95C2×C22⋊Dic47C2×C418yes—
96C2×C22⋊Dic47C2312yes—
97C2×C22⋊Dic47C2312yes—
98C2×C22⋊Dic47C2312yes—
99C2×C22⋊Dic47C2312yes—
100C2×(C2×D47)⋊C4—44no—
101C2×(C2×D47)⋊C4C2314yes—
102C2×(C2×D47)⋊C4C2314yes—
103C2×(C2×D47)⋊C4C2314yes—
104C2×(C2×D47)⋊C4C2314yes—
105C2×(C2×D47)⋊C4C2314yes—
106C22⋊C4×D47C2×C4116yescomplemented
107C2×C4×Dic47—44no—
108C2×C4×Dic47C2314yes—
109C2×C4×Dic47C2314yes—
110C2×C4×Dic47C2314yes—
111C47⋊#95C2314yes—
112C47⋊#95C2314yes—
113C47⋊#95C2314yes—
114C47⋊#95C2314yes—
115C47⋊#95C2314yes—
116C47⋊#95C2314yes—
117C47⋊#95C2314yes—
118C47⋊#95C2314yes—
119C47⋊#95C2314yes—
120C47⋊#95C2314yes—
121C25×C47C2311yescharacteristic
122C23×C4×C47C2312yes—
123C23×C4×C47C2311yescharacteristic
124C23×C4×C47C2311yescharacteristic
125C23×C4×C47C2312yes—
126C2×C22⋊C4×C47—24no—
127C2×C22⋊C4×C47—24no—
128C2×C22⋊C4×C47C2×C418yes—
129C2×C22⋊C4×C47C2312yes—
130C2×C22⋊C4×C47C2312yes—
131C2×C22⋊C4×C47C2312yes—
132C2×C22⋊C4×C47C2312yes—
133C2×C22⋊C4×C47C2312yes—
134C2×C22⋊C4×C47C2312yes—
135C2×C42×C47C2314yes—
136C2×C42×C47C2314yes—
137#95×C47C2314yes—
138#95×C47C2314yes—
139C24×C47—42no—
140C24×C47—42no—
141C24×C47C22×C414yes—
142C24×C47#4114yes—
143C24×C47#4114yes—
144C24×C47C2411yescharacteristic
145C24×C47C2411yescharacteristic
146C24×C47C2411yescharacteristic
147C23×D47—22no—
148C23×D47—22no—
149C23×D47—42no—
150C23×D47—42no—
151C23×D47C22×C414yes—
152C23×D47C2412yes—
153C22×C4×C47—24no—
154C22×C4×C47—22no—
155C22×C4×C47—22no—
156C22×C4×C47—42no—
157C22×C4×C47—42no—
158C22×C4×C47—42no—
159C22×C4×C47—42no—
160C22×C4×C47—42no—
161C22×C4×C47—42no—
162C22×C4×C47C22×C418yes—
163C22×C4×C47C2412yes—
164C22×C4×C47C2414yes—
165C22×C4×C47C2412yes—
166C22×C4×C47C2414yes—
167C2×C22⋊D47—232no—
168C2×C22⋊D47—24no—
169C2×C22⋊D47—24no—
170C2×C22⋊D47—24no—
171C2×C22⋊D47—24no—
172C2×C22⋊D47C22×C418yes—
173C2×C22⋊D47C22×C418yes—
174C22×Dic47—22no—
175C22×Dic47—22no—
176C22×Dic47—22no—
177C22×Dic47—24no—
178C22×Dic47—24no—
179C22×Dic47—24no—
180C22×Dic47—24no—
181C22×Dic47—22no—
182C22×Dic47—24no—
183C22×Dic47—24no—
184C22×Dic47—42no—
185C22×Dic47—42no—
186C22×Dic47—42no—
187C22×Dic47—42no—
188C22×Dic47—42no—
189C22×Dic47—42no—
190C22×Dic47—42no—
191C22×Dic47—416no—
192C22×Dic47C22×C414yes—
193C22×Dic47C22×C418yes—
194C22×Dic47C2412yes—
195C22×Dic47C2414yes—
196C22×Dic47C2412yes—
197C22×Dic47C2414yes—
198C22×Dic47C2412yes—
199C2×C4×D47—44no—
200C2×C4×D47—44no—
201C2×C4×D47C22×C4116yescomplemented
202C22⋊C4×C47—24no—
203C22⋊C4×C47—24no—
204C22⋊C4×C47—24no—
205C22⋊C4×C47—24no—
206C22⋊C4×C47C22×C418yes—
207C22⋊C4×C47C22×C418yes—
208C42×C47—44no—
209C42×C47—44no—
210C22⋊Dic47—24no—
211C22⋊Dic47—24no—
212C22⋊Dic47C22×C418yes—
213C22⋊Dic47C22×C418yes—
214(C2×D47)⋊C4—28no—
215(C2×D47)⋊C4—44no—
216(C2×D47)⋊C4—44no—
217(C2×D47)⋊C4—44no—
218(C2×D47)⋊C4C22×C4116yescomplemented
219Dic47⋊C4—28no—
220Dic47⋊C4—44no—
221Dic47⋊C4—44no—
222Dic47⋊C4—44no—
223Dic47⋊C4C22×C4116yescomplemented
224C4×Dic47—28no—
225C4×Dic47—44no—
226C4×Dic47C22×C4116yescomplemented
227C23×C47—22no—
228C23×C47—22no—
229C23×C47—22no—
230C23×C47—22no—
231C23×C47—22no—
232C23×C47—22no—
233C23×C47—44no—
234C23×C47—48no—
235C23×C47—44no—
236C23×C47—48no—
237C23×C47#117116yescomplemented
238C23×C47C23×C412yes—
239C23×C47C23×C412yes—
240C23×C47C23×C412yes—
241C23×C47C2×#4112yes—
242C23×C47C2×#4112yes—
243C23×C47C2×#4112yes—
244C23×C47C2×#4112yes—
245C23×C47C2×#4112yes—
246C23×C47C2×#4112yes—
247C23×C47C2511yescharacteristic
248C22×D47—22no—
249C22×D47—22no—
250C22×D47—24no—
251C22×D47—24no—
252C22×D47—28no—
253C22×D47—48no—
254C22×D47—82no—
255C22×D47—82no—
256C22×D47—84no—
257C22×D47C23×C414yes—
258C2×C4×C47—24no—
259C2×C4×C47—24no—
260C2×C4×C47—22no—
261C2×C4×C47—22no—
262C2×C4×C47—24no—
263C2×C4×C47—24no—
264C2×C4×C47—24no—
265C2×C4×C47—24no—
266C2×C4×C47—24no—
267C2×C4×C47—48no—
268C2×C4×C47—82no—
269C2×C4×C47—82no—
270C2×C4×C47—84no—
271C2×C4×C47C23×C418yes—
272C22⋊D47—216no—
273C22⋊D47—216no—
274C2×Dic47—28no—
275C2×Dic47—28no—
276C2×Dic47—22no—
277C2×Dic47—22no—
278C2×Dic47—22no—
279C2×Dic47—22no—
280C2×Dic47—24no—
281C2×Dic47—24no—
282C2×Dic47—24no—
283C2×Dic47—22no—
284C2×Dic47—24no—
285C2×Dic47—22no—
286C2×Dic47—22no—
287C2×Dic47—24no—
288C2×Dic47—48no—
289C2×Dic47—48no—
290C2×Dic47—48no—
291C2×Dic47—48no—
292C2×Dic47—44no—
293C2×Dic47C23×C414yes—
294C2×Dic47C23×C418yes—
295C2×Dic47H(5,𝔽2)14yes—
296C4×D47—416no—
297#34251—471nomaximal, Sylow
298C22×C47—24no—
299C22×C47—24no—
300C22×C47—24no—
301C22×C47—22no—
302C22×C47—22no—
303C22×C47—22no—
304C22×C47—22no—
305C22×C47—22no—
306C22×C47—22no—
307C22×C47—24no—
308C22×C47—24no—
309C22×C47—24no—
310C22×C47—416no—
311C22×C47C2×#11714yes—
312C22×C47C2×#11714yes—
313C22×C47C2×#11714yes—
314C22×C47C24×C411yescharacteristic
315C22×C47C22×#4111yescharacteristic
316C22×C47C22×#4111yescharacteristic
317C22×C47C2×H(5,𝔽2)12yes—
318C22×C47#58512yes—
319C2×D47—24no—
320C2×D47—28no—
321C2×D47—42no—
322C2×D47—42no—
323C2×D47—44no—
324C2×D47—88no—
325C4×C47—28no—
326C4×C47—42no—
327C4×C47—42no—
328C4×C47—44no—
329Dic47—24no—
330Dic47—28no—
331Dic47—24no—
332Dic47—42no—
333Dic47—44no—
334C2×#518—471no—
335#2353—474no—
336#2352—474no—
337#2343—474no—
338#2342—474no—
339#2318—474no—
340#2315—471no—
341#2308—471no—
342#2290—474no—
343C2×#386—471no—
344C2×#385—471no—
345#2273D4711yescharacteristic, complemented
346C2×C4×C22⋊C4—471no—
347C2×C47—24no—
348C2×C47—24no—
349C2×C47—24no—
350C2×C47C22×#11711yescharacteristic
351C2×C47C4×H(5,𝔽2)12yes—
352C2×C47#349011yescharacteristic
353C2×C47#349111yescharacteristic
354C2×C47#350512yes—
355D47—44no—
356C23×D4—471no—
357C24×C4—471no—
358#518—4716no—
359C2×C4×D4—474no—
360C2×C4×D4—474no—
361C2×#117—472no—
362C2×#117—474no—
363C22×C4⋊C4—472no—
364C22×C22⋊C4—471no—
365C22×C22⋊C4—472no—
366C22×C22⋊C4—471no—
367C22×C22⋊C4—472no—
368C22×C22⋊C4C2×D4711yescharacteristic
369C22×C22⋊C4C2×D4711yescharacteristic
370C22×C22⋊C4C2×D4711yescharacteristic
371C22×C42—472no—
372#388—474no—
373#388—474no—
374#388—474no—
375#388—474no—
376#387—474no—
377#387—474no—
378#387—474no—
379#387—474no—
380#386—472no—
381#386—472no—
382#386—474no—
383#386—472no—
384#386—474no—
385#386—472no—
386#385—474no—
387#385—474no—
388#385—472no—
389#385—474no—
390#385—472no—
391#383—474no—
392#382—474no—
393#381—472no—
394#381—474no—
395#380—474no—
396#380—474no—
397#379—472no—
398C4×C4⋊C4—474no—
399C4×C22⋊C4—474no—
400C4×C22⋊C4—474no—
401C4×C22⋊C4—474no—
402C4×C22⋊C4C2×D4714yes—
403C4×C22⋊C4C2×D4714yescomplemented
404C4×C22⋊C4C2×D4712yescomplemented
405C4×C22⋊C4C2×D4712yescomplemented
406#376—474no—
407C2×#95—472no—
408C2×#95—472no—
409C2×#95—472no—
410C47#3425111yescharacteristic, complemented, Sylow
411C25—471no—
412C25C22×D4711yescharacteristic
413C22×D4—478no—
414C22×D4—472no—
415C22×D4—472no—
416C22×D4—944no—
417C22×D4—944no—
418C23×C4—471no—
419C23×C4—472no—
420C23×C4—474no—
421C23×C4—471no—
422C23×C4—472no—
423C23×C4—472no—
424C23×C4—472no—
425C23×C4—471no—
426C23×C4—944no—
427C23×C4—1884no—
428C23×C4C22×D4712yes—
429C23×C4C22×D4711yescharacteristic
430C23×C4C22×D4711yescharacteristic
431C23×C4C22×D4712yes—
432C4×D4—4732no—
433C4×D4—4732no—
434#117—4716no—
435#117—1888no—
436C2×C4⋊C4—474no—
437C2×C4⋊C4—474no—
438C2×C4⋊C4—474no—
439C2×C4⋊C4—474no—
440C2×C4⋊C4—474no—
441C2×C4⋊C4—1884no—
442C2×C22⋊C4—24no—
443C2×C22⋊C4—24no—
444C2×C22⋊C4—478no—
445C2×C22⋊C4—472no—
446C2×C22⋊C4—472no—
447C2×C22⋊C4—474no—
448C2×C22⋊C4—4716no—
449C2×C22⋊C4—472no—
450C2×C22⋊C4—472no—
451C2×C22⋊C4—474no—
452C2×C22⋊C4—474no—
453C2×C22⋊C4—474no—
454C2×C22⋊C4—474no—
455C2×C22⋊C4—944no—
456C2×C22⋊C4—1884no—
457C2×C22⋊C4C4×D4718yes—
458C2×C22⋊C4C22×D4712yes—
459C2×C22⋊C4C22×D4712yes—
460C2×C22⋊C4C22×D4712yes—
461C2×C22⋊C4C22×D4712yes—
462C2×C22⋊C4C22×D4712yes—
463C2×C22⋊C4C22×D4712yes—
464C2×C42—474no—
465C2×C42—474no—
466C2×C42—474no—
467C2×C42—1884no—
468C2×C42C22×D4714yes—
469C2×C42C22×D4714yes—
470#95—474no—
471#95—474no—
472#95—474no—
473#95—474no—
474#95—474no—
475#95—474no—
476#95—474no—
477#95—474no—
478#95—474no—
479#95—474no—
480#95C22×D4714yes—
481#95C22×D4714yes—
482C24—42no—
483C24—42no—
484C24—472no—
485C24—474no—
486C24—942no—
487C24—942no—
488C24—1882no—
489C24—1882no—
490C24C2×C4×D4714yes—
491C24#1062535014yes—
492C24#1062535014yes—
493C24C23×D4711yescharacteristic
494C24C23×D4711yescharacteristic
495C24C23×D4711yescharacteristic
496C2×D4—478no—
497C2×D4—478no—
498C2×D4—9432no—
499C2×D4—944no—
500C2×D4—944no—
501C2×D4—944no—
502C2×D4—944no—
503C22×C4—24no—
504C22×C4—22no—
505C22×C4—22no—
506C22×C4—42no—
507C22×C4—42no—
508C22×C4—42no—
509C22×C4—42no—
510C22×C4—42no—
511C22×C4—42no—
512C22×C4—474no—
513C22×C4—472no—
514C22×C4—472no—
515C22×C4—474no—
516C22×C4—478no—
517C22×C4—4716no—
518C22×C4—472no—
519C22×C4—474no—
520C22×C4—944no—
521C22×C4—944no—
522C22×C4—944no—
523C22×C4—942no—
524C22×C4—942no—
525C22×C4—942no—
526C22×C4—944no—
527C22×C4—944no—
528C22×C4—944no—
529C22×C4—942no—
530C22×C4—1884no—
531C22×C4—1884no—
532C22×C4—1882no—
533C22×C4—1882no—
534C22×C4—1882no—
535C22×C4—1882no—
536C22×C4—1882no—
537C22×C4—1882no—
538C22×C4—1882no—
539C22×C4—18816no—
540C22×C4C2×C4×D4718yes—
541C22×C4C23×D4712yes—
542C22×C4C23×D4714yes—
543C22×C4C23×D4712yes—
544C22×C4C23×D4714yes—
545C4⋊C4—4716no—
546C4⋊C4—948no—
547C4⋊C4—1884no—
548C4⋊C4—1884no—
549C4⋊C4—1884no—
550C22⋊C4—24no—
551C22⋊C4—24no—
552C22⋊C4—24no—
553C22⋊C4—24no—
554C22⋊C4—478no—
555C22⋊C4—478no—
556C22⋊C4—4716no—
557C22⋊C4—948no—
558C22⋊C4—944no—
559C22⋊C4—944no—
560C22⋊C4—1884no—
561C22⋊C4—1884no—
562C22⋊C4—1884no—
563C22⋊C4C2×C4×D4718yes—
564C22⋊C4C2×C4×D4718yes—
565C42—44no—
566C42—44no—
567C42—4716no—
568C42—948no—
569C42—1884no—
570C23—22no—
571C23—22no—
572C23—22no—
573C23—22no—
574C23—22no—
575C23—22no—
576C23—44no—
577C23—48no—
578C23—44no—
579C23—48no—
580C23—474no—
581C23—948no—
582C23—942no—
583C23—942no—
584C23—944no—
585C23—944no—
586C23—3762no—
587C23—3762no—
588C23—3764no—
589C23—1888no—
590C23#13093981116yescomplemented
591C23C22×C4×D4712yes—
592C23C22×C4×D4712yes—
593C23C22×C4×D4712yes—
594C23C2×#1062535012yes—
595C23C2×#1062535012yes—
596C23C2×#1062535012yes—
597C23C2×#1062535012yes—
598C23C2×#1062535012yes—
599C23C2×#1062535012yes—
600C23C24×D4711yescharacteristic
601D4—9416no—
602D4—9416no—
603C2×C4—24no—
604C2×C4—24no—
605C2×C4—22no—
606C2×C4—22no—
607C2×C4—24no—
608C2×C4—24no—
609C2×C4—24no—
610C2×C4—24no—
611C2×C4—24no—
612C2×C4—48no—
613C2×C4—82no—
614C2×C4—82no—
615C2×C4—84no—
616C2×C4—474no—
617C2×C4—478no—
618C2×C4—474no—
619C2×C4—948no—
620C2×C4—948no—
621C2×C4—942no—
622C2×C4—942no—
623C2×C4—942no—
624C2×C4—942no—
625C2×C4—944no—
626C2×C4—944no—
627C2×C4—944no—
628C2×C4—942no—
629C2×C4—944no—
630C2×C4—942no—
631C2×C4—942no—
632C2×C4—944no—
633C2×C4—18816no—
634C2×C4—1888no—
635C2×C4—1888no—
636C2×C4—1888no—
637C2×C4—1888no—
638C2×C4—1884no—
639C2×C4C22×C4×D4718yes—
640C22—22no—
641C22—22no—
642C22—22no—
643C22—22no—
644C22—22no—
645C22—22no—
646C22—24no—
647C22—24no—
648C22—24no—
649C22—24no—
650C22—24no—
651C22—24no—
652C22—416no—
653C22—944no—
654C22—948no—
655C22—3768no—
656C22—1882no—
657C22—1882no—
658C22—1884no—
659C22C2×#1309398114yes—
660C22C2×#1309398114yes—
661C22C2×#1309398114yes—
662C22C23×C4×D4711yescharacteristic
663C22C22×#1062535011yescharacteristic
664C22C22×#1062535011yescharacteristic
665C22H(5,𝔽2)×D4712yes—
666C22#1568995812yes—
667C4—28no—
668C4—42no—
669C4—42no—
670C4—44no—
671C4—944no—
672C4—944no—
673C4—948no—
674C4—1882no—
675C4—1884no—
676C2—24no—
677C2—24no—
678C2—24no—
679C2—1884no—
680C2C22×#1309398111yescharacteristic
681C2#2025659212yes—
682C2#2025707311yescharacteristic
683C2#2025708111yescharacteristic
684C2#2025721812yes—
subgroupG/H
center, FrattiniC23C24×D47
commutatorC22×C47C24×C4
FittingC47×#2273C2
socle, cosocleC23×C47C25
prime radicalC23×C22⋊D47C22
hypercenter#2273D47
hypocenterC47#34251
LCSG ▷ C22×C47 ▷ C47
UCSC1 ◁ C23 ◁ #2273

Complements

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

NH ≅ G/Ntype
2. #20246322C2semidirect
3. #20246311C2semidirect
4. #20246242C2semidirect
5. #20246231C2semidirect
6. #20246015C2semidirect
7. #20246000C2semidirect
9. #20245827C2semidirect
11. C2×#15688995C2semidirect
12. C2×C22⋊C4×Dic47C2semidirect
13. C47×#2273C2semidirect
16. #15689596C4semidirect
19. C2×#13093981C22semidirect
21. C22×Dic47⋊C4C22semidirect
26. C22×C4×Dic47C22semidirect
27. #15689014C22semidirect
28. #15689014C22semidirect
29. #15689012C22semidirect
30. #15689012C22semidirect
31. #15689007C22semidirect
32. #15689007C22semidirect
33. #15689005C22semidirect
34. #15689005C22semidirect
43. #15688995C22semidirect
44. #15688995C22semidirect
45. #15688995C22semidirect
46. #15688990C22semidirect
47. #15688987C22semidirect
48. #15688985C22semidirect
50. #15688982C22semidirect
51. #15688981C22semidirect
53. C4×Dic47⋊C4C22semidirect
55. C22⋊C4×Dic47C22semidirect
56. C4×(C2×D47)⋊C4C22semidirect
57. #15688969C22semidirect
59. C2×C47⋊#95C22semidirect
60. C2×C47⋊#95C22semidirect
65. C4×C22⋊C4×C47C22semidirect
66. C4×C22⋊C4×C47C22semidirect
67. C4×C22⋊C4×C47C22semidirect
84. C4×C22⋊D47C2×C4semidirect
85. (C22⋊D47)⋊C4C2×C4semidirect
87. #13093980C2×C4semidirect
106. C22⋊C4×D47C2×C4semidirect
201. C2×C4×D47C22×C4semidirect
218. (C2×D47)⋊C4C22×C4semidirect
223. Dic47⋊C4C22×C4semidirect
226. C4×Dic47C22×C4semidirect
237. C23×C47#117semidirect
345. #2273D47semidirect
403. C4×C22⋊C4C2×D47semidirect
404. C4×C22⋊C4C2×D47semidirect
405. C4×C22⋊C4C2×D47semidirect
410. C47#34251semidirect
590. C23#13093981semidirect

Maximal subgroups

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

subgroupindex
C2×#156895962
#202463222
#202463112
#202462422
#202462312
#202460152
#202460002
#202459632
#202458272
C2×#156890002
C2×#156889952
C2×C22⋊C4×Dic472
C47×#22732
#3425147