Finite Group Databasebeta

← #26184054

Subgroups — #26184054

Order 12032.

1074 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
1#20257227C211yesmaximal, characteristic
2#20252417C211yesmaximal, characteristic, complemented
3#20241959C211yesmaximal, characteristic, complemented
4#20241955C211yesmaximal, characteristic, complemented
5#20241929C212yesmaximal, complemented
6#20241924C212yesmaximal, complemented
7#20241911C212yesmaximal, complemented
8#20241890C212yesmaximal, complemented
9C2×#15688859C211yesmaximal, characteristic, complemented
10C2×#15688856C211yesmaximal, characteristic, complemented
11C47×#2349C211yesmaximal, characteristic, complemented
12#15689822—22no—
13#15689819C412yescomplemented
14#15689813C412yescomplemented
15#15689802—22no—
16#15689782C412yescomplemented
17#15689769C412yescomplemented
18#15689720—21no—
19#15689711—21no—
20#15689682—21no—
21#15689657C2212yes—
22#15689634C2212yes—
23C2×#13094003C2211yescharacteristic
24C2×#13093998C2211yescharacteristic
25#15689596—21no—
26#15689195—22no—
27#15689195—22no—
28#15689180C2212yescomplemented
29#15689087C2212yescomplemented
30C2×C22⋊(C47⋊C8)C2211yescharacteristic
31C2×C22⋊(C47⋊C8)C2211yescharacteristic
32#15688859C2212yescomplemented
33#15688859C2212yescomplemented
34#15688859C2212yescomplemented
35#15688859C2212yescomplemented
36#15688856C2212yes—
37#15688856C2212yes—
38#15688856C2212yes—
39#15688856C2212yes—
40C2×C4×D4×C47—21no—
41C2×C4×D4×C47C2211yescharacteristic
42C47×#389—21no—
43C47×#385—21no—
44C47×#385—21no—
45C47×#382C2211yescharacteristic, complemented
46C47×#380C2211yescharacteristic
47C47×#380C2211yescharacteristic, complemented
48C4×C4⋊C4×C47C2211yescharacteristic, complemented
49C2×#95×C47C2211yescharacteristic
50C2×#95×C47C2211yescharacteristic, complemented
51C2×#10625350C2×C412yescomplemented
52C22×Dic94C2×C411yescharacteristic, complemented
53C22×D188C2×C411yescharacteristic, complemented
54C22×C22⋊D47—21no—
55C2×#10625329—22no—
56C22×C47⋊C8—21no—
57C22×C47⋊C8—21no—
58#13094019—22no—
59#13094018—22no—
60#13094017—22no—
61#13094016C2×C412yescomplemented
62#13094014—22no—
63#13094012C2×C412yescomplemented
64#13094010—22no—
65#13094009—22no—
66#13094007—22no—
67#13094007—22no—
68#13094006—22no—
69#13094005—22no—
70#13094003—21no—
71#13094003—21no—
72#13094003C2×C412yescomplemented
73#13094003C2×C412yescomplemented
74#13094003C2312yes—
75#13094002—22no—
76#13093998—21no—
77#13093998—21no—
78#13093998C2×C412yescomplemented
79#13093998C2×C412yescomplemented
80#13093998C2312yes—
81#13093997—22no—
82#13093996—22no—
83#13093996—22no—
84#13093993—22no—
85#13093992—22no—
86C4×Dic94C2×C412yescomplemented
87C4×D188C2×C412yescomplemented
88C4×C22⋊D47—22no—
89C4×C22⋊D47—22no—
90C4×C22⋊D47—22no—
91(C22⋊D47)⋊C4—22no—
92(C22⋊D47)⋊C4—22no—
93#13093983C2×C412yescomplemented
94#13093981—22no—
95#13093980—22no—
96C2×C4⋊Dic47C2×C411yescharacteristic, complemented
97C2×C4⋊Dic47C2×C411yescharacteristic, complemented
98C2×Dic47⋊C4—21no—
99C2×C22⋊Dic47—21no—
100C2×(C2×D47)⋊C4—21no—
101C22⋊C4×D47—22no—
102C4⋊(C47⋊C8)—22no—
103C22⋊(C47⋊C8)—21no—
104C22⋊(C47⋊C8)—21no—
105C22⋊(C47⋊C8)—22no—
106C22⋊(C47⋊C8)C2312yes—
107C22⋊(C47⋊C8)C2312yes—
108#13093935—22no—
109C22×D4×C47D411yescharacteristic
110C23×C4×C47—21no—
111C23×C4×C47—21no—
112C23×C4×C47C2311yescharacteristic
113C23×C4×C47C2311yescharacteristic
114C4×D4×C47—44no—
115C4×D4×C47C2×C412yes—
116C4×D4×C47C2×C412yes—
117C4×D4×C47D412yes—
118C4×D4×C47D412yes—
119C2×C4⋊C4×C47—21no—
120C2×C4⋊C4×C47—21no—
121C2×C4⋊C4×C47—21no—
122C2×C4⋊C4×C47—21no—
123C2×C4⋊C4×C47D411yescharacteristic
124C2×C22⋊C4×C47—21no—
125C2×C22⋊C4×C47—21no—
126C2×C22⋊C4×C47D411yescharacteristic
127C2×C22⋊C4×C47D411yescharacteristic
128C2×C42×C47—21no—
129C2×C42×C47C2311yescharacteristic
130#95×C47—21no—
131#95×C47—21no—
132#95×C47—21no—
133#95×C47C2311yescharacteristic
134#95×C47C2311yescharacteristic
135#95×C47C2311yescharacteristic
136#95×C47C2311yescharacteristic
137C24×C47C2×D411yescharacteristic
138C24×C47C2×D411yescharacteristic
139C23×D47—21no—
140C2×D4×C47—22no—
141C2×D4×C47—22no—
142C2×D4×C47C22⋊C412yes—
143C2×D4×C47C22⋊C412yes—
144C22×C4×C47—21no—
145C22×C4×C47—21no—
146C22×C4×C47—21no—
147C22×C4×C47—21no—
148C22×C4×C47—42no—
149C22×C4×C47—42no—
150C22×C4×C47—42no—
151C22×C4×C47—42no—
152C22×C4×C47—81no—
153C22×C4×C47—81no—
154C22×C4×C47—81no—
155C22×C4×C47—81no—
156C22×C4×C47C22×C411yescharacteristic
157C22×C4×C47C22×C411yescharacteristic
158C22×C4×C47C22×C412yes—
159C22×C4×C47C2×D411yescharacteristic
160C22×C4×C47C2×D411yescharacteristic
161C22×C4×C47C2×D411yescharacteristic
162C22×C4×C47C2×D411yescharacteristic
163C22×C4×C47C2×D411yescharacteristic
164C22×C4×C47C2×D411yescharacteristic
165C22×C4×C47C2×D412yes—
166C22×C4×C47C2411yescharacteristic
167C2×C22⋊D47—22no—
168C2×C22⋊D47—22no—
169C2×C22⋊D47—22no—
170C2×C22⋊D47—22no—
171C2×C22⋊D47—42no—
172C2×C22⋊D47—42no—
173C22×Dic47—21no—
174C22×Dic47—21no—
175C22×Dic47—21no—
176#10625350—82no—
177C2×D188—21no—
178C2×D188—81no—
179C2×D188C22×C412yes—
180C2×C4×D47—22no—
181C2×C4×D47—22no—
182C2×Dic94—21no—
183C2×Dic94—81no—
184C2×Dic94C22×C412yes—
185C4⋊C4×C47—42no—
186C4⋊C4×C47—42no—
187C4⋊C4×C47—81no—
188C4⋊C4×C47—81no—
189C4⋊C4×C47C22⋊C412yes—
190C4⋊C4×C47C22⋊C412yes—
191C22⋊C4×C47—42no—
192C22⋊C4×C47—42no—
193C22⋊C4×C47C22⋊C412yes—
194C22⋊C4×C47C22⋊C412yes—
195C22⋊C4×C47C22⋊C412yes—
196C22⋊C4×C47C22⋊C412yes—
197C42×C47—42no—
198C42×C47C22×C412yes—
199C42×C47C2×D412yes—
200C22⋊Dic47—22no—
201C22⋊Dic47—22no—
202C22⋊Dic47—22no—
203C22⋊Dic47—22no—
204(C2×D47)⋊C4—22no—
205(C2×D47)⋊C4—22no—
206(C2×D47)⋊C4—22no—
207(C2×D47)⋊C4—22no—
208(C2×D47)⋊C4—22no—
209(C2×D47)⋊C4—22no—
210C4⋊Dic47—21no—
211C4⋊Dic47—21no—
212C4⋊Dic47C22×C412yes—
213C4⋊Dic47C22×C412yes—
214Dic47⋊C4—22no—
215Dic47⋊C4—22no—
216Dic47⋊C4—22no—
217Dic47⋊C4—22no—
218Dic47⋊C4—22no—
219Dic47⋊C4—22no—
220C4×Dic47—22no—
221C4×Dic47—22no—
222#10625329—82no—
223C2×C47⋊C8—22no—
224C2×C47⋊C8—22no—
225C2×C47⋊C8—81no—
226C2×C47⋊C8—81no—
227C23×C47—21no—
228C23×C47—21no—
229C23×C47—41no—
230C23×C47—41no—
231C23×C47—41no—
232C23×C47—41no—
233C23×C47C2×C22⋊C412yes—
234C23×C47C2×C22⋊C411yescharacteristic
235C23×C47C2×C22⋊C411yescharacteristic
236C23×C47AGL(1,ℤ/8)12yes—
237C23×C47#13712yes—
238C23×C47C22×D411yescharacteristic
239C22×D47—22no—
240C22×D47—42no—
241C22×D47—81no—
242C22×D47—81no—
243D4×C47—24no—
244D4×C47—24no—
245C2×C4×C47—21no—
246C2×C4×C47—21no—
247C2×C4×C47—22no—
248C2×C4×C47—41no—
249C2×C4×C47—41no—
250C2×C4×C47—42no—
251C2×C4×C47—41no—
252C2×C4×C47—41no—
253C2×C4×C47—41no—
254C2×C4×C47—41no—
255C2×C4×C47—41no—
256C2×C4×C47—42no—
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—41no—
264C2×C4×C47—41no—
265C2×C4×C47—41no—
266C2×C4×C47—41no—
267C2×C4×C47—41no—
268C2×C4×C47—41no—
269C2×C4×C47—84no—
270C2×C4×C47—84no—
271C2×C4×C47C2×C22⋊C412yes—
272C2×C4×C47C2×C22⋊C412yes—
273C2×C4×C47C2×C22⋊C411yescharacteristic
274C2×C4×C47C2×C22⋊C412yes—
275C2×C4×C47C2×C22⋊C411yescharacteristic
276C2×C4×C47C23×C411yescharacteristic
277C2×C4×C47C22×D411yescharacteristic
278C22⋊D47—42no—
279C22⋊D47—42no—
280C22⋊D47—44no—
281C22⋊D47—82no—
282C22⋊D47—82no—
283C2×Dic47—22no—
284C2×Dic47—22no—
285C2×Dic47—22no—
286C2×Dic47—42no—
287C2×Dic47—81no—
288C2×Dic47—81no—
289D188—42no—
290D188—81no—
291C4×D47—82no—
292C4×D47—82no—
293Dic94—42no—
294Dic94—81no—
295C47⋊C8—42no—
296C47⋊C8—42no—
297#17622—471nomaximal, Sylow
298C22×C47—21no—
299C22×C47—21no—
300C22×C47—21no—
301C22×C47—21no—
302C22×C47—21no—
303C22×C47—21no—
304C22×C47—22no—
305C22×C47—22no—
306C22×C47—22no—
307C22×C47—42no—
308C22×C47—42no—
309C22×C47—42no—
310C22×C47—42no—
311C22×C47#41712yes—
312C22×C47#41712yes—
313C22×C47C22×C22⋊C411yescharacteristic
314C22×C47C2×AGL(1,ℤ/8)11yescharacteristic
315C22×C47C2×#13711yescharacteristic
316C2×D47—42no—
317C2×D47—42no—
318C2×D47—42no—
319C2×D47—162no—
320C4×C47—21no—
321C4×C47—21no—
322C4×C47—21no—
323C4×C47—22no—
324C4×C47—21no—
325C4×C47—22no—
326C4×C47—22no—
327C4×C47—42no—
328C4×C47—81no—
329C4×C47—81no—
330C4×C47—81no—
331Dic47—42no—
332Dic47—42no—
333Dic47—42no—
334#3505—471no—
335#2973—471no—
336#2349D4711yescharacteristic, complemented
337#1520—471no—
338#1519—471no—
339#1513—472no—
340#1512—472no—
341#1509—472no—
342#1504—472no—
343C2×#328—471no—
344C2×#327—471no—
345C2×C47—21no—
346C2×C47—22no—
347C2×C47—21no—
348C2×C47—22no—
349C2×C47—42no—
350C2×C47#288311yescharacteristic
351C2×C47C2×#41711yescharacteristic
352C2×C47#290111yescharacteristic
353D47—82no—
354#553—472no—
355#553—942no—
356#552—472no—
357#551—942no—
358#548—472no—
359#546—472no—
360#539—941no—
361#538—941no—
362#534—941no—
363#529—472no—
364#525—472no—
365C2×C22⋊Q8—471no—
366C2×#121—471no—
367#518—941no—
368C2×C4×D4—21no—
369C2×C4×D4C2×D4711yescharacteristic
370#435—942no—
371#435—942no—
372#432—472no—
373#407—472no—
374C2×C22⋊C8—471no—
375C2×C22⋊C8—471no—
376#389—21no—
377#385—21no—
378#385—21no—
379#382C2×D4711yescharacteristic, complemented
380#380C2×D4711yescharacteristic
381#380C2×D4711yescharacteristic, complemented
382C4×C4⋊C4C2×D4711yescharacteristic, complemented
383C2×#95C2×D4711yescharacteristic
384C2×#95C2×D4711yescharacteristic, complemented
385#328—472no—
386#328—472no—
387#328—472no—
388#328—472no—
389#327—472no—
390#327—472no—
391#327—472no—
392#327—472no—
393C47#1762211yescharacteristic, complemented, Sylow
394C2×#41—472no—
395C22×Q8—471no—
396C22×D4—471no—
397C22×D4—941no—
398C22×D4C22⋊D4711yescharacteristic
399C23×C4—21no—
400C23×C4—21no—
401C23×C4C22×D4711yescharacteristic
402C23×C4C22×D4711yescharacteristic
403C2×M16—942no—
404C22×C8—941no—
405C22×C8—941no—
406#126—942no—
407#126—942no—
408#126—942no—
409#125—472no—
410#125—942no—
411#124—472no—
412#124—942no—
413#123—942no—
414#123—942no—
415#123—942no—
416#123—942no—
417#123—942no—
418C22⋊Q8—472no—
419C22⋊Q8—472no—
420C22⋊Q8—472no—
421C22⋊Q8—941no—
422C22⋊Q8—941no—
423C22⋊Q8—942no—
424#121—472no—
425#121—472no—
426#121—472no—
427#121—942no—
428#121—942no—
429#121—941no—
430#121—941no—
431#121—942no—
432#120—942no—
433#120—942no—
434C4×Q8—472no—
435C4×D4—44no—
436C4×D4—472no—
437C4×D4—942no—
438C4×D4—942no—
439C4×D4—942no—
440C4×D4—942no—
441C4×D4—942no—
442C4×D4C4×D4712yes—
443C4×D4C4×D4712yes—
444C4×D4D18812yes—
445C4×D4D18812yes—
446#117—472no—
447#117—942no—
448#117—942no—
449C2×C4⋊C4—21no—
450C2×C4⋊C4—21no—
451C2×C4⋊C4—21no—
452C2×C4⋊C4—21no—
453C2×C4⋊C4—471no—
454C2×C4⋊C4—471no—
455C2×C4⋊C4—941no—
456C2×C4⋊C4C22⋊D4711yescharacteristic
457C2×C22⋊C4—21no—
458C2×C22⋊C4—21no—
459C2×C22⋊C4—941no—
460C2×C22⋊C4—941no—
461C2×C22⋊C4—942no—
462C2×C22⋊C4C22⋊D4711yescharacteristic
463C2×C22⋊C4C22⋊D4711yescharacteristic
464C2×C42—21no—
465C2×C42C22×D4711yescharacteristic
466C4⋊C8—942no—
467C22⋊C8—472no—
468C22⋊C8—472no—
469C22⋊C8—941no—
470C22⋊C8—941no—
471C22⋊C8—942no—
472#97—942no—
473#95—21no—
474#95—21no—
475#95—21no—
476#95C22×D4711yescharacteristic
477#95C22×D4711yescharacteristic
478#95C22×D4711yescharacteristic
479#95C22×D4711yescharacteristic
480C24—941no—
481C24C2×C22⋊D4711yescharacteristic
482C24C2×C22⋊D4711yescharacteristic
483#41—3762no—
484C2×Q8—472no—
485C2×Q8—941no—
486C2×Q8—3761no—
487C2×D4—22no—
488C2×D4—22no—
489C2×D4—472no—
490C2×D4—942no—
491C2×D4—942no—
492C2×D4—942no—
493C2×D4—942no—
494C2×D4—941no—
495C2×D4—3761no—
496C2×D4—1882no—
497C2×D4—1882no—
498C2×D4(C2×D47)⋊C412yes—
499C2×D4(C2×D47)⋊C412yes—
500C22×C4—21no—
501C22×C4—21no—
502C22×C4—21no—
503C22×C4—21no—
504C22×C4—42no—
505C22×C4—42no—
506C22×C4—42no—
507C22×C4—42no—
508C22×C4—81no—
509C22×C4—81no—
510C22×C4—81no—
511C22×C4—81no—
512C22×C4—941no—
513C22×C4—941no—
514C22×C4—941no—
515C22×C4—942no—
516C22×C4—942no—
517C22×C4C2×C4×D4711yescharacteristic
518C22×C4C2×C4×D4711yescharacteristic
519C22×C4C2×C4×D4712yes—
520C22×C4C2×D18811yescharacteristic
521C22×C4C2×D18811yescharacteristic
522C22×C4C2×D18812yes—
523C22×C4C2×C22⋊D4711yescharacteristic
524C22×C4C2×C22⋊D4711yescharacteristic
525C22×C4C2×C22⋊D4711yescharacteristic
526C22×C4C2×C22⋊D4711yescharacteristic
527C22×C4C23×D4711yescharacteristic
528M16—3762no—
529C2×C8—942no—
530C2×C8—942no—
531C2×C8—3761no—
532C2×C8—3761no—
533C4⋊C4—42no—
534C4⋊C4—42no—
535C4⋊C4—81no—
536C4⋊C4—81no—
537C4⋊C4—472no—
538C4⋊C4—472no—
539C4⋊C4—942no—
540C4⋊C4—942no—
541C4⋊C4—942no—
542C4⋊C4—942no—
543C4⋊C4—942no—
544C4⋊C4—941no—
545C4⋊C4—941no—
546C4⋊C4—942no—
547C4⋊C4(C2×D47)⋊C412yes—
548C4⋊C4(C2×D47)⋊C412yes—
549C22⋊C4—42no—
550C22⋊C4—42no—
551C22⋊C4—942no—
552C22⋊C4—942no—
553C22⋊C4—942no—
554C22⋊C4—942no—
555C22⋊C4—942no—
556C22⋊C4—942no—
557C22⋊C4—942no—
558C22⋊C4—942no—
559C22⋊C4—942no—
560C22⋊C4—942no—
561C22⋊C4(C2×D47)⋊C412yes—
562C22⋊C4(C2×D47)⋊C412yes—
563C22⋊C4(C2×D47)⋊C412yes—
564C22⋊C4(C2×D47)⋊C412yes—
565C42—42no—
566C42—942no—
567C42—942no—
568C42C2×C4×D4712yes—
569C42C2×D18812yes—
570C23—21no—
571C23—21no—
572C23—41no—
573C23—41no—
574C23—41no—
575C23—41no—
576C23—942no—
577C23—3761no—
578C23—3761no—
579C23—1882no—
580C23C2×(C2×D47)⋊C412yes—
581C23C2×(C2×D47)⋊C411yescharacteristic
582C23C2×(C2×D47)⋊C411yescharacteristic
583C23#1309405012yes—
584C23#1309405512yes—
585C23C22×C22⋊D4711yescharacteristic
586Q8—3761no—
587Q8—1882no—
588D4—24no—
589D4—24no—
590D4—3761no—
591D4—3762no—
592D4—3762no—
593D4—1882no—
594D4—1884no—
595D4—1882no—
596D4—1882no—
597C2×C4—21no—
598C2×C4—21no—
599C2×C4—22no—
600C2×C4—41no—
601C2×C4—41no—
602C2×C4—41no—
603C2×C4—41no—
604C2×C4—41no—
605C2×C4—42no—
606C2×C4—41no—
607C2×C4—41no—
608C2×C4—41no—
609C2×C4—42no—
610C2×C4—41no—
611C2×C4—41no—
612C2×C4—41no—
613C2×C4—41no—
614C2×C4—41no—
615C2×C4—41no—
616C2×C4—41no—
617C2×C4—41no—
618C2×C4—41no—
619C2×C4—41no—
620C2×C4—41no—
621C2×C4—84no—
622C2×C4—84no—
623C2×C4—942no—
624C2×C4—942no—
625C2×C4—942no—
626C2×C4—3762no—
627C2×C4—3762no—
628C2×C4—3761no—
629C2×C4—3761no—
630C2×C4—1882no—
631C2×C4C2×(C2×D47)⋊C412yes—
632C2×C4C2×(C2×D47)⋊C412yes—
633C2×C4C2×(C2×D47)⋊C412yes—
634C2×C4C2×(C2×D47)⋊C411yescharacteristic
635C2×C4C2×(C2×D47)⋊C411yescharacteristic
636C2×C4C22×C4×D4711yescharacteristic
637C2×C4C22×D18811yescharacteristic
638C8—1882no—
639C8—1882no—
640C22—21no—
641C22—21no—
642C22—21no—
643C22—21no—
644C22—21no—
645C22—21no—
646C22—22no—
647C22—22no—
648C22—22no—
649C22—42no—
650C22—42no—
651C22—42no—
652C22—42no—
653C22—1882no—
654C22—1882no—
655C22—1882no—
656C22—7522no—
657C22#1568912212yes—
658C22#1568912212yes—
659C22C22×(C2×D47)⋊C411yescharacteristic
660C22C2×#1309405011yescharacteristic
661C22C2×#1309405511yescharacteristic
662C4—22no—
663C4—21no—
664C4—21no—
665C4—22no—
666C4—21no—
667C4—21no—
668C4—22no—
669C4—42no—
670C4—81no—
671C4—81no—
672C4—81no—
673C4—1882no—
674C4—1882no—
675C4—1882no—
676C2—21no—
677C2—21no—
678C2—22no—
679C2—22no—
680C2—42no—
681C2—3762no—
682C2#2025184811yescharacteristic
683C2C2×#1568912211yescharacteristic
684C2#2025193611yescharacteristic
subgroupG/H
centerC22C22×(C2×D47)⋊C4
commutatorC2×C4×C47C23×C4
FrattiniC22×C4C23×D47
FittingC47×#2349C2
socleC22×C47C22×C22⋊C4
prime radical#20257227C2
cosocleC22×C4×C47C24
hypercenter#2349D47
hypocenterC47#17622
LCSG ▷ C2×C4×C47 ▷ C22×C47 ▷ C47
UCSC1 ◁ C22 ◁ C2×C4×D4 ◁ #2349

Complements

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

NH ≅ G/Ntype
2. #20252417C2semidirect
3. #20241959C2semidirect
4. #20241955C2semidirect
5. #20241929C2semidirect
6. #20241924C2semidirect
7. #20241911C2semidirect
8. #20241890C2semidirect
9. C2×#15688859C2semidirect
10. C2×#15688856C2semidirect
11. C47×#2349C2semidirect
13. #15689819C4semidirect
14. #15689813C4semidirect
16. #15689782C4semidirect
17. #15689769C4semidirect
28. #15689180C22semidirect
29. #15689087C22semidirect
32. #15688859C22semidirect
33. #15688859C22semidirect
34. #15688859C22semidirect
35. #15688859C22semidirect
45. C47×#382C22semidirect
47. C47×#380C22semidirect
48. C4×C4⋊C4×C47C22semidirect
50. C2×#95×C47C22semidirect
51. C2×#10625350C2×C4semidirect
52. C22×Dic94C2×C4semidirect
53. C22×D188C2×C4semidirect
61. #13094016C2×C4semidirect
63. #13094012C2×C4semidirect
72. #13094003C2×C4semidirect
73. #13094003C2×C4semidirect
78. #13093998C2×C4semidirect
79. #13093998C2×C4semidirect
86. C4×Dic94C2×C4semidirect
87. C4×D188C2×C4semidirect
93. #13093983C2×C4semidirect
96. C2×C4⋊Dic47C2×C4semidirect
97. C2×C4⋊Dic47C2×C4semidirect
336. #2349D47semidirect
379. #382C2×D47semidirect
381. #380C2×D47semidirect
382. C4×C4⋊C4C2×D47semidirect
384. C2×#95C2×D47semidirect
393. C47#17622semidirect

Maximal subgroups

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

subgroupindex
#202572272
#202524172
#202419592
#202419552
#202419292
#202419242
#202419112
#202418902
C2×#156888592
C2×#156888562
C47×#23492
#1762247