Finite Group Databasebeta

← #26183486

Subgroups — #26183486

Order 12032.

1102 conjugacy classes of subgroups.

The subgroup lattice has 654 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#20252423C211yesmaximal, characteristic, complemented
2#20245749C211yesmaximal, characteristic, complemented
3#20241913C211yesmaximal, characteristic, complemented
4#20241908C212yesmaximal, complemented
5#20241900C211yesmaximal, characteristic, complemented
6#20241892C212yesmaximal, complemented
7#20241887C211yesmaximal, characteristic, complemented
8#20241879C212yesmaximal, complemented
9#20241874C211yesmaximal, characteristic, complemented
10C2×#15688860C212yesmaximal, complemented
11C47×#3520C211yesmaximal, characteristic
12C2×D4×Dic47—21no—
13#15689201—21no—
14#15689195—22no—
15D4×C47⋊C8—21no—
16#15689180C2211yescharacteristic
17#15689176C2211yescharacteristic
18#15689087C2212yes—
19C2×C22⋊(C47⋊C8)C2212yes—
20C4⋊C4×Dic47—21no—
21C4×C4⋊Dic47C2211yescharacteristic
22C22⋊C4×Dic47—22no—
23C4×C22⋊Dic47C2212yes—
24#15688969C2211yescharacteristic
25C2×C47⋊#95C2212yes—
26#15688860C2211yescharacteristic
27#15688860C2212yes—
28#15688860C2212yes—
29#15688860C2212yes—
30#15688860C2211yescharacteristic
31#15688860C2212yes—
32#15688860C2212yes—
33#15688857C2211yescharacteristic
34#15688857C2211yescharacteristic
35#15688857C2212yes—
36C47×#556C411yescharacteristic, complemented
37C47×#554—21no—
38C47×#552C412yescomplemented
39C47×#551—22no—
40D4×Q8×C47C411yescharacteristic, complemented
41C47×#548C412yescomplemented
42C47×#547C411yescharacteristic, complemented
43C47×#547C411yescharacteristic, complemented
44C47×#546—21no—
45C47×#542—21no—
46C47×#539—22no—
47C47×#533C2211yescharacteristic
48C47×#529C2211yescharacteristic
49C47×#525C2212yes—
50C2×C22⋊Q8×C47C2212yes—
51C47×#520—21no—
52C2×C4×D4×C47C2211yescharacteristic
53C23×Dic47—22no—
54C2×#10625329—22no—
55C22×C47⋊C8—22no—
56D4×Dic47—28no—
57C2×C4⋊Dic47—21no—
58C2×C22⋊Dic47—22no—
59C2×C4×Dic47—21no—
60C2×C4×Dic47—22no—
61C2×C4×Dic47—21no—
62C4⋊(C47⋊C8)—21no—
63C4⋊(C47⋊C8)—21no—
64C22⋊(C47⋊C8)—22no—
65C22⋊(C47⋊C8)—22no—
66C22⋊(C47⋊C8)C2311yescharacteristic
67C22⋊(C47⋊C8)C2312yes—
68C22⋊(C47⋊C8)C2311yescharacteristic
69#13093935—21no—
70C4×C47⋊C8—21no—
71C47⋊#95—22no—
72C47⋊#95—21no—
73C47⋊#95C2311yescharacteristic
74C47⋊#95C2312yes—
75C47⋊#95C2311yescharacteristic
76C2×#41×C47—21no—
77C2×#41×C47C2×C412yescomplemented
78C22×Q8×C47C2×C412yescomplemented
79C22×D4×C47D411yescharacteristic
80C23×C4×C47C2312yes—
81C4⋊Q8×C47—21no—
82C4⋊Q8×C47C2×C411yescharacteristic, complemented
83C4⋊Q8×C47C2×C411yescharacteristic, complemented
84#126×C47—22no—
85#126×C47—22no—
86#126×C47—21no—
87#125×C47—22no—
88#125×C47—21no—
89#125×C47C2×C411yescharacteristic, complemented
90#124×C47—21no—
91#124×C47—22no—
92#124×C47C2×C411yescharacteristic, complemented
93#123×C47—22no—
94#123×C47—22no—
95#123×C47—21no—
96#123×C47—22no—
97#123×C47—22no—
98C22⋊Q8×C47—22no—
99C22⋊Q8×C47—22no—
100C22⋊Q8×C47—21no—
101C22⋊Q8×C47—22no—
102C22⋊Q8×C47—21no—
103C22⋊Q8×C47—22no—
104C22⋊Q8×C47C2×C412yescomplemented
105C22⋊Q8×C47C2×C412yescomplemented
106C22⋊Q8×C47C2×C412yescomplemented
107C22⋊Q8×C47C2311yescharacteristic
108C22⋊Q8×C47C2312yes—
109#121×C47—22no—
110#121×C47—21no—
111#121×C47C2×C412yescomplemented
112#121×C47C2311yescharacteristic
113#120×C47—22no—
114C4×Q8×C47—21no—
115C4×Q8×C47—21no—
116C4×Q8×C47C2×C411yescharacteristic, complemented
117C4×Q8×C47C2×C412yescomplemented
118C4×D4×C47—21no—
119C4×D4×C47—22no—
120C4×D4×C47—22no—
121C4×D4×C47—21no—
122C4×D4×C47—22no—
123C4×D4×C47C2×C411yescharacteristic
124C4×D4×C47C2×C411yescharacteristic
125C4×D4×C47C2×C412yes—
126C4×D4×C47C2×C411yescharacteristic, complemented
127C4×D4×C47D411yescharacteristic
128C4×D4×C47D412yes—
129C4×D4×C47D411yescharacteristic
130#117×C47—21no—
131#117×C47—22no—
132#117×C47—21no—
133#117×C47C2×C412yescomplemented
134C2×C4⋊C4×C47—22no—
135C2×C4⋊C4×C47—21no—
136C2×C4⋊C4×C47C2×C412yescomplemented
137C2×C4⋊C4×C47D411yescharacteristic
138C2×C22⋊C4×C47—22no—
139C2×C22⋊C4×C47D412yes—
140C2×C42×C47C2311yescharacteristic
141C24×C47C2×D412yes—
142#41×C47—44no—
143#41×C47—82no—
144C2×Q8×C47—21no—
145C2×Q8×C47—22no—
146C2×Q8×C47—82no—
147C2×Q8×C47C22×C411yescharacteristic
148C2×Q8×C47C22×C412yes—
149C2×D4×C47—24no—
150C2×D4×C47—22no—
151C2×D4×C47—21no—
152C2×D4×C47—22no—
153C2×D4×C47C22⋊C412yes—
154C2×D4×C47C22⋊C411yescharacteristic
155C2×D4×C47C22⋊C411yescharacteristic
156C2×D4×C47C22×C411yescharacteristic
157C22×C4×C47—22no—
158C22×C4×C47—22no—
159C22×C4×C47—21no—
160C22×C4×C47—22no—
161C22×C4×C47—82no—
162C22×C4×C47C22×C412yes—
163C22×C4×C47C22×C412yes—
164C22×C4×C47C2×D411yescharacteristic
165C22×C4×C47C2×D411yescharacteristic
166C22×C4×C47C2×D412yes—
167C22×C4×C47C2×D412yes—
168C22×C4×C47C2×D412yes—
169C22×C4×C47C2411yescharacteristic
170C22×Dic47—21no—
171C22×Dic47—21no—
172C22×Dic47—22no—
173C22×Dic47—28no—
174C22×Dic47—82no—
175C22×Dic47—82no—
176C4⋊C4×C47—22no—
177C4⋊C4×C47—21no—
178C4⋊C4×C47—22no—
179C4⋊C4×C47—22no—
180C4⋊C4×C47—21no—
181C4⋊C4×C47—21no—
182C4⋊C4×C47—21no—
183C4⋊C4×C47—22no—
184C4⋊C4×C47—21no—
185C4⋊C4×C47—22no—
186C4⋊C4×C47—21no—
187C4⋊C4×C47—21no—
188C4⋊C4×C47—22no—
189C4⋊C4×C47C22⋊C411yescharacteristic
190C4⋊C4×C47C22⋊C412yes—
191C4⋊C4×C47C22⋊C411yescharacteristic
192C4⋊C4×C47C22×C411yescharacteristic
193C4⋊C4×C47C22×C412yes—
194C4⋊C4×C47C22×C411yescharacteristic
195C22⋊C4×C47—22no—
196C22⋊C4×C47—22no—
197C22⋊C4×C47—22no—
198C22⋊C4×C47—22no—
199C22⋊C4×C47—21no—
200C22⋊C4×C47—22no—
201C22⋊C4×C47—21no—
202C22⋊C4×C47—21no—
203C22⋊C4×C47—22no—
204C22⋊C4×C47—21no—
205C22⋊C4×C47—21no—
206C22⋊C4×C47C22⋊C412yes—
207C22⋊C4×C47C22⋊C412yes—
208C22⋊C4×C47C22⋊C412yes—
209C22⋊C4×C47C22⋊C412yes—
210C42×C47—22no—
211C42×C47—22no—
212C42×C47—21no—
213C42×C47C22×C411yescharacteristic
214C42×C47C22×C411yescharacteristic
215C42×C47C2×D411yescharacteristic
216C42×C47C2×D411yescharacteristic
217C22⋊Dic47—28no—
218C4⋊Dic47—24no—
219C4×Dic47—24no—
220C4×Dic47—81no—
221C4×Dic47—82no—
222#10625329—82no—
223C2×C47⋊C8—21no—
224C2×C47⋊C8—21no—
225C2×C47⋊C8—22no—
226C2×C47⋊C8—82no—
227C23×C47—22no—
228C23×C47—22no—
229C23×C47—24no—
230C23×C47—21no—
231C23×C47—42no—
232C23×C47C2×C22⋊C412yes—
233C23×C47C2×C22⋊C412yes—
234C23×C47C22×D411yescharacteristic
235Q8×C47—41no—
236Q8×C47—42no—
237Q8×C47—42no—
238Q8×C47—82no—
239D4×C47—24no—
240D4×C47—22no—
241D4×C47—41no—
242D4×C47—41no—
243D4×C47—41no—
244D4×C47—44no—
245D4×C47—82no—
246D4×C47#10414yes—
247C2×C4×C47—21no—
248C2×C4×C47—21no—
249C2×C4×C47—22no—
250C2×C4×C47—21no—
251C2×C4×C47—22no—
252C2×C4×C47—21no—
253C2×C4×C47—22no—
254C2×C4×C47—21no—
255C2×C4×C47—42no—
256C2×C4×C47—42no—
257C2×C4×C47—42no—
258C2×C4×C47—41no—
259C2×C4×C47—42no—
260C2×C4×C47—42no—
261C2×C4×C47—44no—
262C2×C4×C47—42no—
263C2×C4×C47—82no—
264C2×C4×C47—82no—
265C2×C4×C47C2×C22⋊C411yescharacteristic
266C2×C4×C47C2×C22⋊C412yes—
267C2×C4×C47C2×C22⋊C411yescharacteristic
268C2×C4×C47C2×C22⋊C411yescharacteristic
269C2×C4×C47C2×C22⋊C412yes—
270C2×C4×C47C2×C22⋊C411yescharacteristic
271C2×C4×C47C23×C411yescharacteristic
272C2×C4×C47C22×D411yescharacteristic
273C2×Dic47—22no—
274C2×Dic47—22no—
275C2×Dic47—24no—
276C2×Dic47—41no—
277C2×Dic47—42no—
278C2×Dic47—41no—
279C2×Dic47—42no—
280C2×Dic47—41no—
281C2×Dic47—41no—
282C2×Dic47—88no—
283C47⋊C8—41no—
284C47⋊C8—42no—
285C47⋊C8—41no—
286#17548—471nomaximal, Sylow
287C22×C47—21no—
288C22×C47—22no—
289C22×C47—22no—
290C22×C47—21no—
291C22×C47—22no—
292C22×C47—22no—
293C22×C47—22no—
294C22×C47—44no—
295C22×C47—44no—
296C22×C47—41no—
297C22×C47—41no—
298C22×C47—41no—
299C22×C47C2×#10414yes—
300C22×C47C22×C22⋊C411yescharacteristic
301C22×C47#57711yescharacteristic
302C22×C47#57811yescharacteristic
303C4×C47—21no—
304C4×C47—21no—
305C4×C47—22no—
306C4×C47—22no—
307C4×C47—21no—
308C4×C47—21no—
309C4×C47—21no—
310C4×C47—42no—
311C4×C47—41no—
312C4×C47—41no—
313C4×C47—41no—
314C4×C47—42no—
315C4×C47C2×#10412yes—
316Dic47—42no—
317Dic47—44no—
318Dic47—42no—
319#3520D4711yescharacteristic
320#2974—471no—
321#2275—471no—
322#1509—471no—
323#1508—472no—
324#1506—471no—
325#1504—472no—
326#1503—471no—
327#1501—472no—
328#1500—471no—
329C2×#328—472no—
330C2×C47—21no—
331C2×C47—21no—
332C2×C47—24no—
333C2×C47—42no—
334C2×C47—81no—
335C2×C47#288311yescharacteristic
336C2×C47#289811yescharacteristic
337C2×C47C22×#10411yescharacteristic
338#556Dic4711yescharacteristic, complemented
339#554—21no—
340#552Dic4712yescomplemented
341#551—22no—
342D4×Q8Dic4711yescharacteristic, complemented
343#548Dic4712yescomplemented
344#547Dic4711yescharacteristic, complemented
345#547Dic4711yescharacteristic, complemented
346#546—21no—
347#542—21no—
348#539—22no—
349#533C2×D4711yescharacteristic
350#529C2×D4711yescharacteristic
351#525C2×D4712yes—
352C2×C22⋊Q8C2×D4712yes—
353#520—21no—
354C2×C4×D4—941no—
355C2×C4×D4C2×D4711yescharacteristic
356#436—941no—
357#435—942no—
358C8×D4—941no—
359#432—471no—
360#431—471no—
361#407—472no—
362C2×C22⋊C8—472no—
363C4×C4⋊C4—471no—
364C4×C4⋊C4—941no—
365C4×C22⋊C4—472no—
366C4×C22⋊C4—942no—
367#376—471no—
368C2×#95—472no—
369#328—471no—
370#328—472no—
371#328—472no—
372#328—472no—
373#328—471no—
374#328—472no—
375#328—472no—
376#327—471no—
377#327—471no—
378#327—472no—
379C47#1754811yescharacteristic, complemented, Sylow
380C2×#41—21no—
381C2×#41C2×Dic4712yescomplemented
382C22×Q8C2×Dic4712yescomplemented
383C22×D4C22⋊D4711yescharacteristic
384C23×C4—942no—
385C23×C4C22×D4712yes—
386C2×M16—942no—
387C22×C8—942no—
388C4⋊Q8—21no—
389C4⋊Q8C2×Dic4711yescharacteristic, complemented
390C4⋊Q8C2×Dic4711yescharacteristic, complemented
391#126—22no—
392#126—22no—
393#126—21no—
394#125—22no—
395#125—21no—
396#125C2×Dic4711yescharacteristic, complemented
397#124—21no—
398#124—22no—
399#124C2×Dic4711yescharacteristic, complemented
400#123—22no—
401#123—22no—
402#123—21no—
403#123—22no—
404#123—22no—
405C22⋊Q8—22no—
406C22⋊Q8—22no—
407C22⋊Q8—21no—
408C22⋊Q8—22no—
409C22⋊Q8—21no—
410C22⋊Q8—22no—
411C22⋊Q8C2×Dic4712yescomplemented
412C22⋊Q8C2×Dic4712yescomplemented
413C22⋊Q8C2×Dic4712yescomplemented
414C22⋊Q8C22×D4711yescharacteristic
415C22⋊Q8C22×D4712yes—
416#121—22no—
417#121—21no—
418#121C2×Dic4712yescomplemented
419#121C22×D4711yescharacteristic
420#120—22no—
421C4×Q8—21no—
422C4×Q8—21no—
423C4×Q8C2×Dic4711yescharacteristic, complemented
424C4×Q8C2×Dic4712yescomplemented
425C4×D4—21no—
426C4×D4—22no—
427C4×D4—22no—
428C4×D4—21no—
429C4×D4—22no—
430C4×D4—948no—
431C4×D4C2×Dic4711yescharacteristic
432C4×D4C2×Dic4711yescharacteristic
433C4×D4C2×Dic4712yes—
434C4×D4C2×Dic4711yescharacteristic, complemented
435C4×D4C22⋊D4711yescharacteristic
436C4×D4C22⋊D4712yes—
437C4×D4C22⋊D4711yescharacteristic
438#117—21no—
439#117—22no—
440#117—21no—
441#117C2×Dic4712yescomplemented
442C2×C4⋊C4—22no—
443C2×C4⋊C4—21no—
444C2×C4⋊C4—941no—
445C2×C4⋊C4C2×Dic4712yescomplemented
446C2×C4⋊C4C22⋊D4711yescharacteristic
447C2×C22⋊C4—22no—
448C2×C22⋊C4—942no—
449C2×C22⋊C4C22⋊D4712yes—
450C2×C42—941no—
451C2×C42—942no—
452C2×C42—941no—
453C2×C42C22×D4711yescharacteristic
454C4⋊C8—941no—
455C4⋊C8—941no—
456C22⋊C8—471no—
457C22⋊C8—472no—
458C22⋊C8—471no—
459C22⋊C8—942no—
460C22⋊C8—942no—
461#97—941no—
462C4×C8—941no—
463#95—471no—
464#95—472no—
465#95—471no—
466#95—942no—
467#95—941no—
468C24C2×C22⋊D4712yes—
469#41—44no—
470#41—82no—
471C2×Q8—21no—
472C2×Q8—22no—
473C2×Q8—82no—
474C2×Q8C22×Dic4711yescharacteristic
475C2×Q8C22×Dic4712yes—
476C2×D4—24no—
477C2×D4—22no—
478C2×D4—21no—
479C2×D4—22no—
480C2×D4C22⋊Dic4712yes—
481C2×D4C22⋊Dic4711yescharacteristic
482C2×D4C22⋊Dic4711yescharacteristic
483C2×D4C22×Dic4711yescharacteristic
484C22×C4—22no—
485C22×C4—22no—
486C22×C4—21no—
487C22×C4—22no—
488C22×C4—82no—
489C22×C4—948no—
490C22×C4—941no—
491C22×C4—941no—
492C22×C4—942no—
493C22×C4—3762no—
494C22×C4—3762no—
495C22×C4C22×Dic4712yes—
496C22×C4C22×Dic4712yes—
497C22×C4C2×C22⋊D4711yescharacteristic
498C22×C4C2×C22⋊D4711yescharacteristic
499C22×C4C2×C22⋊D4712yes—
500C22×C4C2×C22⋊D4712yes—
501C22×C4C2×C22⋊D4712yes—
502C22×C4C23×D4711yescharacteristic
503M16—3762no—
504C2×C8—941no—
505C2×C8—941no—
506C2×C8—942no—
507C2×C8—3762no—
508C4⋊C4—22no—
509C4⋊C4—21no—
510C4⋊C4—22no—
511C4⋊C4—22no—
512C4⋊C4—21no—
513C4⋊C4—21no—
514C4⋊C4—21no—
515C4⋊C4—22no—
516C4⋊C4—21no—
517C4⋊C4—22no—
518C4⋊C4—21no—
519C4⋊C4—21no—
520C4⋊C4—22no—
521C4⋊C4—944no—
522C4⋊C4C22⋊Dic4711yescharacteristic
523C4⋊C4C22⋊Dic4712yes—
524C4⋊C4C22⋊Dic4711yescharacteristic
525C4⋊C4C22×Dic4711yescharacteristic
526C4⋊C4C22×Dic4712yes—
527C4⋊C4C22×Dic4711yescharacteristic
528C22⋊C4—22no—
529C22⋊C4—22no—
530C22⋊C4—22no—
531C22⋊C4—22no—
532C22⋊C4—21no—
533C22⋊C4—22no—
534C22⋊C4—21no—
535C22⋊C4—21no—
536C22⋊C4—22no—
537C22⋊C4—21no—
538C22⋊C4—21no—
539C22⋊C4—948no—
540C22⋊C4C22⋊Dic4712yes—
541C22⋊C4C22⋊Dic4712yes—
542C22⋊C4C22⋊Dic4712yes—
543C22⋊C4C22⋊Dic4712yes—
544C42—22no—
545C42—22no—
546C42—21no—
547C42—944no—
548C42—3761no—
549C42—3762no—
550C42C22×Dic4711yescharacteristic
551C42C22×Dic4711yescharacteristic
552C42C2×C22⋊D4711yescharacteristic
553C42C2×C22⋊D4711yescharacteristic
554C23—24no—
555C23—22no—
556C23—22no—
557C23—21no—
558C23—42no—
559C23C2×C22⋊Dic4712yes—
560C23C2×C22⋊Dic4712yes—
561C23C22×C22⋊D4711yescharacteristic
562Q8—41no—
563Q8—42no—
564Q8—42no—
565Q8—82no—
566D4—24no—
567D4—22no—
568D4—41no—
569D4—44no—
570D4—41no—
571D4—41no—
572D4—82no—
573D4#1309395114yes—
574C2×C4—21no—
575C2×C4—21no—
576C2×C4—22no—
577C2×C4—21no—
578C2×C4—22no—
579C2×C4—21no—
580C2×C4—22no—
581C2×C4—21no—
582C2×C4—42no—
583C2×C4—42no—
584C2×C4—42no—
585C2×C4—41no—
586C2×C4—42no—
587C2×C4—42no—
588C2×C4—44no—
589C2×C4—42no—
590C2×C4—82no—
591C2×C4—82no—
592C2×C4—942no—
593C2×C4—942no—
594C2×C4—944no—
595C2×C4—3768no—
596C2×C4—1881no—
597C2×C4—1882no—
598C2×C4—1881no—
599C2×C4—1882no—
600C2×C4—1881no—
601C2×C4—1881no—
602C2×C4C2×C22⋊Dic4711yescharacteristic
603C2×C4C2×C22⋊Dic4712yes—
604C2×C4C2×C22⋊Dic4711yescharacteristic
605C2×C4C2×C22⋊Dic4711yescharacteristic
606C2×C4C2×C22⋊Dic4712yes—
607C2×C4C2×C22⋊Dic4711yescharacteristic
608C2×C4C23×Dic4711yescharacteristic
609C2×C4C22×C22⋊D4711yescharacteristic
610C8—1881no—
611C8—1882no—
612C8—1881no—
613C22—22no—
614C22—21no—
615C22—21no—
616C22—22no—
617C22—22no—
618C22—22no—
619C22—22no—
620C22—44no—
621C22—44no—
622C22—41no—
623C22—41no—
624C22—41no—
625C22C2×#1309395114yes—
626C22C22×C22⋊Dic4711yescharacteristic
627C22#1568993111yescharacteristic
628C22#1568993811yescharacteristic
629C4—21no—
630C4—21no—
631C4—21no—
632C4—21no—
633C4—21no—
634C4—22no—
635C4—22no—
636C4—41no—
637C4—41no—
638C4—42no—
639C4—42no—
640C4—41no—
641C4—1882no—
642C4—1884no—
643C4—1882no—
644C4C2×#1309395112yes—
645C2—21no—
646C2—21no—
647C2—24no—
648C2—42no—
649C2—81no—
650C2#2025184911yescharacteristic
651C2#2025192111yescharacteristic
652C2C22×#1309395111yescharacteristic
subgroupG/H
centerC22C22×C22⋊Dic47
commutatorC2×C4×C47C23×C4
FrattiniC22×C4C23×D47
Fitting, prime radicalC47×#3520C2
socleC22×C47C22×C22⋊C4
cosocleC22×C4×C47C24
hypercenter#3520D47
hypocenterC47#17548
LCSG ▷ C2×C4×C47 ▷ C22×C47 ▷ C47
UCSC1 ◁ C22 ◁ C2×C4×D4 ◁ #3520

Complements

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

NH ≅ G/Ntype
1. #20252423C2semidirect
2. #20245749C2semidirect
3. #20241913C2semidirect
4. #20241908C2semidirect
5. #20241900C2semidirect
6. #20241892C2semidirect
7. #20241887C2semidirect
8. #20241879C2semidirect
9. #20241874C2semidirect
10. C2×#15688860C2semidirect
36. C47×#556C4semidirect
38. C47×#552C4semidirect
40. D4×Q8×C47C4semidirect
41. C47×#548C4semidirect
42. C47×#547C4semidirect
43. C47×#547C4semidirect
77. C2×#41×C47C2×C4semidirect
78. C22×Q8×C47C2×C4semidirect
82. C4⋊Q8×C47C2×C4semidirect
83. C4⋊Q8×C47C2×C4semidirect
89. #125×C47C2×C4semidirect
92. #124×C47C2×C4semidirect
104. C22⋊Q8×C47C2×C4semidirect
105. C22⋊Q8×C47C2×C4semidirect
106. C22⋊Q8×C47C2×C4semidirect
111. #121×C47C2×C4semidirect
116. C4×Q8×C47C2×C4semidirect
117. C4×Q8×C47C2×C4semidirect
126. C4×D4×C47C2×C4semidirect
133. #117×C47C2×C4semidirect
136. C2×C4⋊C4×C47C2×C4semidirect
338. #556Dic47semidirect
340. #552Dic47semidirect
342. D4×Q8Dic47semidirect
343. #548Dic47semidirect
344. #547Dic47semidirect
345. #547Dic47semidirect
379. C47#17548semidirect
381. C2×#41C2×Dic47semidirect
382. C22×Q8C2×Dic47semidirect
389. C4⋊Q8C2×Dic47semidirect
390. C4⋊Q8C2×Dic47semidirect
396. #125C2×Dic47semidirect
399. #124C2×Dic47semidirect
411. C22⋊Q8C2×Dic47semidirect
412. C22⋊Q8C2×Dic47semidirect
413. C22⋊Q8C2×Dic47semidirect
418. #121C2×Dic47semidirect
423. C4×Q8C2×Dic47semidirect
424. C4×Q8C2×Dic47semidirect
434. C4×D4C2×Dic47semidirect
441. #117C2×Dic47semidirect
445. C2×C4⋊C4C2×Dic47semidirect

Maximal subgroups

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

subgroupindex
#202524232
#202457492
#202419132
#202419082
#202419002
#202418922
#202418872
#202418792
#202418742
C2×#156888602
C47×#35202
#1754847