Finite Group Databasebeta

← #26183999

Subgroups — #26183999

Order 12032.

1038 conjugacy classes of subgroups.

The subgroup lattice has 674 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#20252412C211yesmaximal, characteristic, complemented
2#20246328C211yesmaximal, characteristic, complemented
3#20241965C212yesmaximal, complemented
4#20241960C211yesmaximal, characteristic, complemented
5#20241956C211yesmaximal, characteristic, complemented
6#20241944C212yesmaximal, complemented
7#20241879C212yesmaximal, complemented
8#20241874C212yesmaximal, complemented
9C2×#15688860C211yesmaximal, characteristic, complemented
10C2×#15688857C211yesmaximal, characteristic, complemented
11C47×#3505C211yesmaximal, characteristic
12D4×C47⋊C8—22no—
13D4×C47⋊C8—22no—
14#15689176C2212yescomplemented
15C2×C22⋊(C47⋊C8)C2211yescharacteristic
16C2×C22⋊(C47⋊C8)C2211yescharacteristic
17C2×C22⋊(C47⋊C8)C2212yescomplemented
18#15689016—21no—
19#15689009—21no—
20#15689003—21no—
21#15688991C2211yescharacteristic, complemented
22#15688986C2211yescharacteristic, complemented
23#15688983C2211yescharacteristic
24C22⋊C4×Dic47—21no—
25C4×C22⋊Dic47C2211yescharacteristic, complemented
26#15688969C2211yescharacteristic, complemented
27C2×C47⋊#95C2211yescharacteristic
28#15688860C2212yescomplemented
29#15688860C2212yescomplemented
30#15688860C2212yescomplemented
31#15688860C2212yescomplemented
32#15688857C2212yes—
33#15688857C2212yes—
34#15688857C2212yes—
35#15688857C2212yes—
36C47×#553—22no—
37C47×#553C412yescomplemented
38C47×#552C412yescomplemented
39C47×#551—22no—
40C47×#548C412yescomplemented
41C47×#546C412yescomplemented
42C47×#539—21no—
43C47×#538—21no—
44C47×#534—21no—
45C47×#529C2212yes—
46C47×#525C2212yes—
47C2×C22⋊Q8×C47C2211yescharacteristic
48C2×#121×C47C2211yescharacteristic
49C47×#518—21no—
50C2×C4×D4×C47C2211yescharacteristic
51C23×Dic47—21no—
52C22×C47⋊C8—21no—
53C22×C47⋊C8—21no—
54C22×C47⋊C8—22no—
55C2×C4⋊Dic47—21no—
56C2×C22⋊Dic47—21no—
57C2×C22⋊Dic47—21no—
58C2×C22⋊Dic47—21no—
59C2×C4×Dic47—21no—
60C2×C4×Dic47—21no—
61C4⋊(C47⋊C8)—22no—
62C22⋊(C47⋊C8)—21no—
63C22⋊(C47⋊C8)—21no—
64C22⋊(C47⋊C8)—22no—
65C22⋊(C47⋊C8)C2312yes—
66C22⋊(C47⋊C8)C2312yes—
67C4×C47⋊C8—22no—
68C47⋊#95—21no—
69C47⋊#95—21no—
70C47⋊#95—21no—
71C47⋊#95—21no—
72C47⋊#95—21no—
73C47⋊#95C2311yescharacteristic
74C47⋊#95C2311yescharacteristic
75C47⋊#95C2311yescharacteristic
76C47⋊#95C2311yescharacteristic
77C2×#41×C47C2×C412yescomplemented
78C22×Q8×C47C2×C411yescharacteristic
79C22×D4×C47—21no—
80C22×D4×C47C2×C411yescharacteristic
81C22×D4×C47D411yescharacteristic
82C23×C4×C47C2311yescharacteristic
83C23×C4×C47C2311yescharacteristic
84#126×C47—22no—
85#126×C47—22no—
86#126×C47—22no—
87#125×C47—22no—
88#125×C47C2×C412yescomplemented
89#124×C47—22no—
90#124×C47C2×C412yescomplemented
91#123×C47—22no—
92#123×C47—22no—
93#123×C47—22no—
94#123×C47—22no—
95#123×C47—22no—
96C22⋊Q8×C47—21no—
97C22⋊Q8×C47—21no—
98C22⋊Q8×C47—22no—
99C22⋊Q8×C47C2×C412yes—
100C22⋊Q8×C47C2×C412yescomplemented
101C22⋊Q8×C47C2312yes—
102#121×C47—22no—
103#121×C47—22no—
104#121×C47—21no—
105#121×C47—21no—
106#121×C47—22no—
107#121×C47C2×C412yes—
108#121×C47C2×C412yescomplemented
109#121×C47C2312yes—
110#120×C47—22no—
111#120×C47—22no—
112C4×Q8×C47C2×C412yescomplemented
113C4×D4×C47—22no—
114C4×D4×C47—22no—
115C4×D4×C47—22no—
116C4×D4×C47—22no—
117C4×D4×C47—22no—
118C4×D4×C47C2×C412yes—
119C4×D4×C47C2×C412yes—
120C4×D4×C47C2×C412yescomplemented
121C4×D4×C47D412yes—
122C4×D4×C47D412yes—
123#117×C47—22no—
124#117×C47—22no—
125#117×C47C2×C412yescomplemented
126C2×C4⋊C4×C47—21no—
127C2×C4⋊C4×C47C2×C411yescharacteristic
128C2×C4⋊C4×C47C2×C411yescharacteristic
129C2×C4⋊C4×C47D411yescharacteristic
130C2×C22⋊C4×C47—21no—
131C2×C22⋊C4×C47—21no—
132C2×C22⋊C4×C47—22no—
133C2×C22⋊C4×C47D411yescharacteristic
134C2×C22⋊C4×C47D411yescharacteristic
135C2×C42×C47C2311yescharacteristic
136C24×C47—21no—
137C24×C47C2×D411yescharacteristic
138C24×C47C2×D411yescharacteristic
139#41×C47—82no—
140C2×Q8×C47—21no—
141C2×Q8×C47—81no—
142C2×Q8×C47C22×C412yes—
143C2×D4×C47—22no—
144C2×D4×C47—22no—
145C2×D4×C47—22no—
146C2×D4×C47—22no—
147C2×D4×C47—22no—
148C2×D4×C47—22no—
149C2×D4×C47—21no—
150C2×D4×C47—42no—
151C2×D4×C47—42no—
152C2×D4×C47—81no—
153C2×D4×C47C22⋊C412yes—
154C2×D4×C47C22⋊C412yes—
155C2×D4×C47C22×C412yes—
156C22×C4×C47—21no—
157C22×C4×C47—21no—
158C22×C4×C47—21no—
159C22×C4×C47—22no—
160C22×C4×C47—22no—
161C22×C4×C47—81no—
162C22×C4×C47—81no—
163C22×C4×C47C22×C411yescharacteristic
164C22×C4×C47C22×C411yescharacteristic
165C22×C4×C47C22×C412yes—
166C22×C4×C47C2×D411yescharacteristic
167C22×C4×C47C2×D411yescharacteristic
168C22×C4×C47C2×D411yescharacteristic
169C22×C4×C47C2×D411yescharacteristic
170C22×C4×C47C2×D411yescharacteristic
171C22×C4×C47C2×D411yescharacteristic
172C22×C4×C47C2×D412yes—
173C22×C4×C47C2411yescharacteristic
174C22×Dic47—21no—
175C22×Dic47—21no—
176C22×Dic47—21no—
177C22×Dic47—21no—
178C22×Dic47—42no—
179C22×Dic47—42no—
180C22×Dic47—81no—
181C4⋊C4×C47—22no—
182C4⋊C4×C47—21no—
183C4⋊C4×C47—21no—
184C4⋊C4×C47—22no—
185C4⋊C4×C47—22no—
186C4⋊C4×C47—22no—
187C4⋊C4×C47—22no—
188C4⋊C4×C47—22no—
189C4⋊C4×C47C22⋊C412yes—
190C4⋊C4×C47C22⋊C412yes—
191C4⋊C4×C47C22×C412yes—
192C4⋊C4×C47C22×C412yes—
193C22⋊C4×C47—22no—
194C22⋊C4×C47—22no—
195C22⋊C4×C47—22no—
196C22⋊C4×C47—22no—
197C22⋊C4×C47—22no—
198C22⋊C4×C47—22no—
199C22⋊C4×C47—22no—
200C22⋊C4×C47—22no—
201C22⋊C4×C47—22no—
202C22⋊C4×C47—22no—
203C22⋊C4×C47C22⋊C412yes—
204C22⋊C4×C47C22⋊C412yes—
205C22⋊C4×C47C22⋊C412yes—
206C22⋊C4×C47C22⋊C412yes—
207C42×C47—22no—
208C42×C47—22no—
209C42×C47C22×C412yes—
210C42×C47C2×D412yes—
211C22⋊Dic47—42no—
212C22⋊Dic47—42no—
213C22⋊Dic47—81no—
214C4⋊Dic47—81no—
215C4×Dic47—42no—
216C4×Dic47—81no—
217C2×C47⋊C8—22no—
218C2×C47⋊C8—22no—
219C2×C47⋊C8—81no—
220C2×C47⋊C8—81no—
221C2×C47⋊C8—82no—
222C23×C47—21no—
223C23×C47—21no—
224C23×C47—22no—
225C23×C47—41no—
226C23×C47—41no—
227C23×C47—41no—
228C23×C47—41no—
229C23×C47—42no—
230C23×C47—81no—
231C23×C47—81no—
232C23×C47C2×C22⋊C412yes—
233C23×C47C2×C22⋊C411yescharacteristic
234C23×C47C2×C22⋊C411yescharacteristic
235C23×C47#13512yes—
236C23×C47#13512yes—
237C23×C47C22×D411yescharacteristic
238Q8×C47—42no—
239Q8×C47—81no—
240D4×C47—24no—
241D4×C47—24no—
242D4×C47—42no—
243D4×C47—42no—
244D4×C47—42no—
245D4×C47—44no—
246D4×C47—81no—
247D4×C47—82no—
248D4×C47—82no—
249C2×C4×C47—21no—
250C2×C4×C47—21no—
251C2×C4×C47—22no—
252C2×C4×C47—22no—
253C2×C4×C47—22no—
254C2×C4×C47—42no—
255C2×C4×C47—41no—
256C2×C4×C47—41no—
257C2×C4×C47—41no—
258C2×C4×C47—41no—
259C2×C4×C47—41no—
260C2×C4×C47—41no—
261C2×C4×C47—41no—
262C2×C4×C47—41no—
263C2×C4×C47—42no—
264C2×C4×C47—42no—
265C2×C4×C47—82no—
266C2×C4×C47—82no—
267C2×C4×C47—81no—
268C2×C4×C47—81no—
269C2×C4×C47C2×C22⋊C412yes—
270C2×C4×C47C2×C22⋊C412yes—
271C2×C4×C47C2×C22⋊C412yes—
272C2×C4×C47C2×C22⋊C411yescharacteristic
273C2×C4×C47C2×C22⋊C411yescharacteristic
274C2×C4×C47C23×C411yescharacteristic
275C2×C4×C47C22×D411yescharacteristic
276C2×Dic47—22no—
277C2×Dic47—41no—
278C2×Dic47—41no—
279C2×Dic47—41no—
280C2×Dic47—41no—
281C2×Dic47—41no—
282C2×Dic47—41no—
283C2×Dic47—41no—
284C2×Dic47—41no—
285C2×Dic47—41no—
286C2×Dic47—41no—
287C2×Dic47—41no—
288C2×Dic47—84no—
289C47⋊C8—42no—
290C47⋊C8—42no—
291#17615—471nomaximal, Sylow
292C22×C47—21no—
293C22×C47—21no—
294C22×C47—21no—
295C22×C47—21no—
296C22×C47—21no—
297C22×C47—21no—
298C22×C47—22no—
299C22×C47—22no—
300C22×C47—22no—
301C22×C47—42no—
302C22×C47—42no—
303C22×C47—42no—
304C22×C47—42no—
305C22×C47—42no—
306C22×C47—81no—
307C22×C47—81no—
308C22×C47—162no—
309C22×C47#41612yes—
310C22×C47#41612yes—
311C22×C47C22×C22⋊C411yescharacteristic
312C22×C47C2×#13511yescharacteristic
313C22×C47C2×#13511yescharacteristic
314C4×C47—21no—
315C4×C47—21no—
316C4×C47—22no—
317C4×C47—21no—
318C4×C47—21no—
319C4×C47—22no—
320C4×C47—22no—
321C4×C47—42no—
322C4×C47—42no—
323C4×C47—42no—
324Dic47—42no—
325Dic47—81no—
326Dic47—81no—
327Dic47—81no—
328#3505D4711yescharacteristic
329#2972—471no—
330#2353—471no—
331#1521—472no—
332#1520—471no—
333#1519—471no—
334#1516—472no—
335#1501—472no—
336#1500—472no—
337C2×#328—471no—
338C2×#327—471no—
339C2×C47—21no—
340C2×C47—21no—
341C2×C47—22no—
342C2×C47—22no—
343C2×C47—42no—
344C2×C47—82no—
345C2×C47#288311yescharacteristic
346C2×C47C2×#41611yescharacteristic
347C2×C47#290111yescharacteristic
348#553—22no—
349#553Dic4712yescomplemented
350#552Dic4712yescomplemented
351#551—22no—
352#548Dic4712yescomplemented
353#546Dic4712yescomplemented
354#539—21no—
355#538—21no—
356#534—21no—
357#529C2×D4712yes—
358#525C2×D4712yes—
359C2×C22⋊Q8C2×D4711yescharacteristic
360C2×#121C2×D4711yescharacteristic
361#518—21no—
362C2×C4×D4C2×D4711yescharacteristic
363C8×D4—942no—
364C8×D4—942no—
365#431—472no—
366C2×C22⋊C8—471no—
367C2×C22⋊C8—471no—
368C2×C22⋊C8—472no—
369#388—941no—
370#387—941no—
371#386—941no—
372#383—471no—
373#381—471no—
374#380—471no—
375C4×C22⋊C4—471no—
376C4×C22⋊C4—941no—
377#376—471no—
378C2×#95—471no—
379#328—472no—
380#328—472no—
381#328—472no—
382#328—472no—
383#327—472no—
384#327—472no—
385#327—472no—
386#327—472no—
387C47#1761511yescharacteristic, complemented, Sylow
388C2×#41C2×Dic4712yescomplemented
389C22×Q8C2×Dic4711yescharacteristic
390C22×D4—21no—
391C22×D4C2×Dic4711yescharacteristic
392C22×D4C22⋊D4711yescharacteristic
393C23×C4—941no—
394C23×C4C22×D4711yescharacteristic
395C23×C4C22×D4711yescharacteristic
396C22×C8—941no—
397C22×C8—941no—
398C22×C8—942no—
399#126—22no—
400#126—22no—
401#126—22no—
402#125—22no—
403#125C2×Dic4712yescomplemented
404#124—22no—
405#124C2×Dic4712yescomplemented
406#123—22no—
407#123—22no—
408#123—22no—
409#123—22no—
410#123—22no—
411C22⋊Q8—21no—
412C22⋊Q8—21no—
413C22⋊Q8—22no—
414C22⋊Q8C2×Dic4712yes—
415C22⋊Q8C2×Dic4712yescomplemented
416C22⋊Q8C22×D4712yes—
417#121—22no—
418#121—22no—
419#121—21no—
420#121—21no—
421#121—22no—
422#121C2×Dic4712yes—
423#121C2×Dic4712yescomplemented
424#121C22×D4712yes—
425#120—22no—
426#120—22no—
427C4×Q8C2×Dic4712yescomplemented
428C4×D4—22no—
429C4×D4—22no—
430C4×D4—22no—
431C4×D4—22no—
432C4×D4—22no—
433C4×D4C2×Dic4712yes—
434C4×D4C2×Dic4712yes—
435C4×D4C2×Dic4712yescomplemented
436C4×D4C22⋊D4712yes—
437C4×D4C22⋊D4712yes—
438#117—22no—
439#117—22no—
440#117C2×Dic4712yescomplemented
441C2×C4⋊C4—21no—
442C2×C4⋊C4—941no—
443C2×C4⋊C4C2×Dic4711yescharacteristic
444C2×C4⋊C4C2×Dic4711yescharacteristic
445C2×C4⋊C4C22⋊D4711yescharacteristic
446C2×C22⋊C4—21no—
447C2×C22⋊C4—21no—
448C2×C22⋊C4—22no—
449C2×C22⋊C4—941no—
450C2×C22⋊C4—941no—
451C2×C22⋊C4—941no—
452C2×C22⋊C4C22⋊D4711yescharacteristic
453C2×C22⋊C4C22⋊D4711yescharacteristic
454C2×C42—941no—
455C2×C42—941no—
456C2×C42C22×D4711yescharacteristic
457C4⋊C8—942no—
458C22⋊C8—472no—
459C22⋊C8—472no—
460C22⋊C8—941no—
461C22⋊C8—941no—
462C22⋊C8—942no—
463C4×C8—942no—
464#95—471no—
465#95—471no—
466#95—471no—
467#95—471no—
468#95—941no—
469#95—941no—
470#95—941no—
471#95—941no—
472#95—941no—
473C24—21no—
474C24C2×C22⋊D4711yescharacteristic
475C24C2×C22⋊D4711yescharacteristic
476#41—82no—
477C2×Q8—21no—
478C2×Q8—81no—
479C2×Q8C22×Dic4712yes—
480C2×D4—22no—
481C2×D4—22no—
482C2×D4—22no—
483C2×D4—22no—
484C2×D4—22no—
485C2×D4—22no—
486C2×D4—21no—
487C2×D4—42no—
488C2×D4—42no—
489C2×D4—81no—
490C2×D4C22⋊Dic4712yes—
491C2×D4C22⋊Dic4712yes—
492C2×D4C22×Dic4712yes—
493C22×C4—21no—
494C22×C4—21no—
495C22×C4—21no—
496C22×C4—22no—
497C22×C4—22no—
498C22×C4—81no—
499C22×C4—81no—
500C22×C4—941no—
501C22×C4—941no—
502C22×C4—941no—
503C22×C4—941no—
504C22×C4—3761no—
505C22×C4—1882no—
506C22×C4—1882no—
507C22×C4C22×Dic4711yescharacteristic
508C22×C4C22×Dic4711yescharacteristic
509C22×C4C22×Dic4712yes—
510C22×C4C2×C22⋊D4711yescharacteristic
511C22×C4C2×C22⋊D4711yescharacteristic
512C22×C4C2×C22⋊D4711yescharacteristic
513C22×C4C2×C22⋊D4711yescharacteristic
514C22×C4C2×C22⋊D4711yescharacteristic
515C22×C4C2×C22⋊D4711yescharacteristic
516C22×C4C2×C22⋊D4712yes—
517C22×C4C23×D4711yescharacteristic
518C2×C8—942no—
519C2×C8—942no—
520C2×C8—3762no—
521C2×C8—3761no—
522C2×C8—3761no—
523C4⋊C4—22no—
524C4⋊C4—21no—
525C4⋊C4—21no—
526C4⋊C4—22no—
527C4⋊C4—22no—
528C4⋊C4—22no—
529C4⋊C4—22no—
530C4⋊C4—22no—
531C4⋊C4—3761no—
532C4⋊C4C22⋊Dic4712yes—
533C4⋊C4C22⋊Dic4712yes—
534C4⋊C4C22×Dic4712yes—
535C4⋊C4C22×Dic4712yes—
536C22⋊C4—22no—
537C22⋊C4—22no—
538C22⋊C4—22no—
539C22⋊C4—22no—
540C22⋊C4—22no—
541C22⋊C4—22no—
542C22⋊C4—22no—
543C22⋊C4—22no—
544C22⋊C4—22no—
545C22⋊C4—22no—
546C22⋊C4—3761no—
547C22⋊C4—1882no—
548C22⋊C4—1882no—
549C22⋊C4C22⋊Dic4712yes—
550C22⋊C4C22⋊Dic4712yes—
551C22⋊C4C22⋊Dic4712yes—
552C22⋊C4C22⋊Dic4712yes—
553C42—22no—
554C42—22no—
555C42—3761no—
556C42—1882no—
557C42C22×Dic4712yes—
558C42C2×C22⋊D4712yes—
559C23—21no—
560C23—21no—
561C23—22no—
562C23—41no—
563C23—41no—
564C23—41no—
565C23—41no—
566C23—42no—
567C23—81no—
568C23—81no—
569C23C2×C22⋊Dic4712yes—
570C23C2×C22⋊Dic4711yescharacteristic
571C23C2×C22⋊Dic4711yescharacteristic
572C23#1309404412yes—
573C23#1309404412yes—
574C23C22×C22⋊D4711yescharacteristic
575Q8—42no—
576Q8—81no—
577D4—24no—
578D4—24no—
579D4—42no—
580D4—44no—
581D4—42no—
582D4—42no—
583D4—81no—
584D4—82no—
585D4—82no—
586C2×C4—21no—
587C2×C4—21no—
588C2×C4—22no—
589C2×C4—22no—
590C2×C4—22no—
591C2×C4—41no—
592C2×C4—41no—
593C2×C4—41no—
594C2×C4—42no—
595C2×C4—41no—
596C2×C4—41no—
597C2×C4—41no—
598C2×C4—41no—
599C2×C4—41no—
600C2×C4—42no—
601C2×C4—42no—
602C2×C4—82no—
603C2×C4—82no—
604C2×C4—81no—
605C2×C4—81no—
606C2×C4—942no—
607C2×C4—3764no—
608C2×C4—1881no—
609C2×C4—1881no—
610C2×C4—1881no—
611C2×C4—1881no—
612C2×C4—1881no—
613C2×C4—1881no—
614C2×C4—1881no—
615C2×C4—1881no—
616C2×C4—1881no—
617C2×C4—1881no—
618C2×C4—1881no—
619C2×C4C2×C22⋊Dic4712yes—
620C2×C4C2×C22⋊Dic4712yes—
621C2×C4C2×C22⋊Dic4712yes—
622C2×C4C2×C22⋊Dic4711yescharacteristic
623C2×C4C2×C22⋊Dic4711yescharacteristic
624C2×C4C23×Dic4711yescharacteristic
625C2×C4C22×C22⋊D4711yescharacteristic
626C8—1882no—
627C8—1882no—
628C22—21no—
629C22—21no—
630C22—21no—
631C22—21no—
632C22—21no—
633C22—21no—
634C22—22no—
635C22—22no—
636C22—22no—
637C22—42no—
638C22—42no—
639C22—42no—
640C22—42no—
641C22—42no—
642C22—81no—
643C22—81no—
644C22—162no—
645C22#1568911912yes—
646C22#1568911912yes—
647C22C22×C22⋊Dic4711yescharacteristic
648C22C2×#1309404411yescharacteristic
649C22C2×#1309404411yescharacteristic
650C4—22no—
651C4—21no—
652C4—21no—
653C4—22no—
654C4—21no—
655C4—21no—
656C4—22no—
657C4—42no—
658C4—42no—
659C4—42no—
660C4—3761no—
661C4—3761no—
662C4—3761no—
663C4—1882no—
664C2—21no—
665C2—21no—
666C2—22no—
667C2—22no—
668C2—42no—
669C2—82no—
670C2#2025184911yescharacteristic
671C2C2×#1568911911yescharacteristic
672C2#2025193511yescharacteristic
subgroupG/H
centerC22C22×C22⋊Dic47
commutatorC2×C4×C47C23×C4
FrattiniC22×C4C23×D47
Fitting, prime radicalC47×#3505C2
socleC22×C47C22×C22⋊C4
cosocleC22×C4×C47C24
hypercenter#3505D47
hypocenterC47#17615
LCSG ▷ C2×C4×C47 ▷ C22×C47 ▷ C47
UCSC1 ◁ C22 ◁ C2×C4×D4 ◁ #3505

Complements

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

NH ≅ G/Ntype
1. #20252412C2semidirect
2. #20246328C2semidirect
3. #20241965C2semidirect
4. #20241960C2semidirect
5. #20241956C2semidirect
6. #20241944C2semidirect
7. #20241879C2semidirect
8. #20241874C2semidirect
9. C2×#15688860C2semidirect
10. C2×#15688857C2semidirect
14. #15689176C22semidirect
17. C2×C22⋊(C47⋊C8)C22semidirect
21. #15688991C22semidirect
22. #15688986C22semidirect
25. C4×C22⋊Dic47C22semidirect
26. #15688969C22semidirect
28. #15688860C22semidirect
29. #15688860C22semidirect
30. #15688860C22semidirect
31. #15688860C22semidirect
37. C47×#553C4semidirect
38. C47×#552C4semidirect
40. C47×#548C4semidirect
41. C47×#546C4semidirect
77. C2×#41×C47C2×C4semidirect
88. #125×C47C2×C4semidirect
90. #124×C47C2×C4semidirect
100. C22⋊Q8×C47C2×C4semidirect
108. #121×C47C2×C4semidirect
112. C4×Q8×C47C2×C4semidirect
120. C4×D4×C47C2×C4semidirect
125. #117×C47C2×C4semidirect
349. #553Dic47semidirect
350. #552Dic47semidirect
352. #548Dic47semidirect
353. #546Dic47semidirect
387. C47#17615semidirect
388. C2×#41C2×Dic47semidirect
403. #125C2×Dic47semidirect
405. #124C2×Dic47semidirect
415. C22⋊Q8C2×Dic47semidirect
423. #121C2×Dic47semidirect
427. C4×Q8C2×Dic47semidirect
435. C4×D4C2×Dic47semidirect
440. #117C2×Dic47semidirect

Maximal subgroups

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

subgroupindex
#202524122
#202463282
#202419652
#202419602
#202419562
#202419442
#202418792
#202418742
C2×#156888602
C2×#156888572
C47×#35052
#1761547