Finite Group Databasebeta

← #26238562

Subgroups — #26238562

Order 12032.

1034 conjugacy classes of subgroups.

The subgroup lattice has 702 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#15689338C211yesmaximal, characteristic
2C2×C4×#10625335C211yesmaximal, characteristic, complemented
3C2×C4×#10625334C211yesmaximal, characteristic
4#20246457C211yesmaximal, characteristic, complemented
5#20244197C211yesmaximal, characteristic, complemented
6#20244154C211yesmaximal, characteristic, complemented
7#20244070C211yesmaximal, characteristic, complemented
8#20244063C211yesmaximal, characteristic, complemented
9#20243736C211yesmaximal, characteristic
10#20243722C211yesmaximal, characteristic, complemented
11#20243648C211yesmaximal, characteristic, complemented
12#20243641C211yesmaximal, characteristic, complemented
13C4⋊C4×C47⋊C8C211yesmaximal, characteristic, complemented
14C4×#13093945C211yesmaximal, characteristic, complemented
15C47×#2349C211yesmaximal, characteristic, complemented
16C22×#10625335C2211yescharacteristic
17C22×#10625334C2211yescharacteristic
18C2×#13094012C2211yescharacteristic
19C2×C4×Dic94C2211yescharacteristic
20C2×C4×D188C2211yescharacteristic
21#15689338C418yescomplemented
22C4×#10625335—24no—
23C4×#10625334—24no—
24C2×#13093957C2211yescharacteristic
25C2×#13093955C2211yescharacteristic
26C2×C4⋊(C47⋊C8)C2211yescharacteristic
27C2×#13093947C2211yescharacteristic
28C2×#13093947C2211yescharacteristic
29C2×#13093947C2211yescharacteristic
30C2×#13093945C2211yescharacteristic
31C2×#13093945C2211yescharacteristic
32C2×#13093944C2211yescharacteristic
33C2×#13093944C2211yescharacteristic
34C2×#13093944C2211yescharacteristic
35C2×C4×C47⋊C8C2211yescharacteristic
36C2×C4×C47⋊C8C2211yescharacteristic
37C2×C4×C47⋊C8C2211yescharacteristic
38#15689029C2211yescharacteristic
39#15689025C2211yescharacteristic
40#15689013—21no—
41#15689012—21no—
42#15688994—21no—
43C4×C4⋊Dic47C2211yescharacteristic
44#15688970—21no—
45#15688885C2211yescharacteristic
46#15688885C2211yescharacteristic
47#15688885C2211yescharacteristic
48#15688885C2211yescharacteristic
49#15688878C2211yescharacteristic
50#15688878C2211yescharacteristic
51C2×C4×D4×C47C2211yescharacteristic
52C2×C4×D4×C47C2211yescharacteristic
53C2×C4×D4×C47C2211yescharacteristic
54C47×#389C2211yescharacteristic
55C47×#389C2211yescharacteristic
56C47×#385—21no—
57C47×#385—21no—
58C47×#382C2211yescharacteristic
59C47×#380—21no—
60C4×C4⋊C4×C47C2211yescharacteristic
61C2×#95×C47—21no—
62C22×Dic94C2311yescharacteristic
63C22×D188C2311yescharacteristic
64C22×C4×D47—21no—
65C2×#10625335—22no—
66C2×#10625335—22no—
67C2×#10625335C2×C414yescomplemented
68C2×#10625334—22no—
69C2×#10625334—22no—
70C2×#10625334C2×C414yes—
71C22×C47⋊C8C2311yescharacteristic
72C22×C47⋊C8C2311yescharacteristic
73C22×C47⋊C8C2311yescharacteristic
74C22×C47⋊C8C2311yescharacteristic
75#13094012—22no—
76#13094012C2×C414yescomplemented
77C4×Dic94—22no—
78C4×Dic94—41no—
79C4×D188—22no—
80C4×D188—41no—
81C2×C4⋊Dic47C2311yescharacteristic
82C2×C4⋊Dic47C2311yescharacteristic
83C2×Dic47⋊C4—21no—
84C2×(C2×D47)⋊C4—21no—
85C2×(C2×D47)⋊C4—21no—
86C2×(C2×D47)⋊C4—21no—
87C2×(C2×D47)⋊C4—21no—
88C2×(C2×D47)⋊C4—21no—
89C2×C4×Dic47—21no—
90C2×C4×Dic47—21no—
91#13093957—22no—
92#13093955—22no—
93C4⋊(C47⋊C8)C2×C414yescomplemented
94#13093947—22no—
95#13093947—41no—
96#13093947C2×C414yescomplemented
97#13093945—22no—
98#13093945D414yes—
99#13093944—22no—
100#13093944—41no—
101#13093944C2×C414yescomplemented
102C4×C47⋊C8—22no—
103C4×C47⋊C8—22no—
104C4×C47⋊C8—22no—
105C47⋊#95—21no—
106C47⋊#95—21no—
107C47⋊#95—21no—
108C22×D4×C47C2311yescharacteristic
109C23×C4×C47—21no—
110C23×C4×C47—21no—
111C23×C4×C47—21no—
112C4×D4×C47—22no—
113C4×D4×C47—22no—
114C4×D4×C47—22no—
115C4×D4×C47—41no—
116C4×D4×C47—41no—
117C4×D4×C47C2×C414yescomplemented
118C2×C4⋊C4×C47—21no—
119C2×C4⋊C4×C47—21no—
120C2×C4⋊C4×C47D411yescharacteristic
121C2×C4⋊C4×C47D411yescharacteristic
122C2×C4⋊C4×C47C2311yescharacteristic
123C2×C4⋊C4×C47C2311yescharacteristic
124C2×C4⋊C4×C47C2311yescharacteristic
125C2×C22⋊C4×C47—21no—
126C2×C22⋊C4×C47—21no—
127C2×C22⋊C4×C47—21no—
128C2×C42×C47C2311yescharacteristic
129C2×C42×C47C2311yescharacteristic
130C2×C42×C47C2311yescharacteristic
131#95×C47—21no—
132#95×C47—21no—
133#95×C47—21no—
134#95×C47—21no—
135#95×C47D411yescharacteristic
136#95×C47D411yescharacteristic
137C24×C47—21no—
138C23×D47—21no—
139C2×D4×C47—21no—
140C2×D4×C47—21no—
141C2×D4×C47—21no—
142C2×D4×C47C22×C412yes—
143C2×D4×C47C2×D412yes—
144C2×D4×C47#4112yes—
145C22×C4×C47—21no—
146C22×C4×C47—24no—
147C22×C4×C47—21no—
148C22×C4×C47—21no—
149C22×C4×C47—42no—
150C22×C4×C47—42no—
151C22×C4×C47—42no—
152C22×C4×C47—42no—
153C22×C4×C47—81no—
154C22×C4×C47—81no—
155C22×C4×C47—81no—
156C22×C4×C47—81no—
157C22×C4×C47C2×D411yescharacteristic
158C22×C4×C47C2×D411yescharacteristic
159C22×C4×C47C2×D411yescharacteristic
160C22×C4×C47C2×D411yescharacteristic
161C22×C4×C47C2×D411yescharacteristic
162C22×C4×C47C2×D411yescharacteristic
163C22×C4×C47C2411yescharacteristic
164C22×Dic47—21no—
165C22×Dic47—21no—
166C22×Dic47—21no—
167C2×D188—21no—
168C2×D188—21no—
169C2×D188—21no—
170C2×D188—21no—
171C2×D188—21no—
172C2×D188C22×C412yes—
173C2×C4×D47—42no—
174C2×C4×D47—42no—
175C2×C4×D47—81no—
176C2×Dic94—21no—
177C2×Dic94—21no—
178C2×Dic94—21no—
179C2×Dic94—21no—
180C2×Dic94—21no—
181C2×Dic94C22×C412yes—
182C4⋊C4×C47—22no—
183C4⋊C4×C47—22no—
184C4⋊C4×C47—21no—
185C4⋊C4×C47—21no—
186C4⋊C4×C47—21no—
187C4⋊C4×C47—21no—
188C4⋊C4×C47—21no—
189C4⋊C4×C47—81no—
190C4⋊C4×C47—81no—
191C4⋊C4×C47C22×C412yes—
192C22⋊C4×C47—24no—
193C22⋊C4×C47—42no—
194C22⋊C4×C47—42no—
195C42×C47—21no—
196C42×C47—21no—
197C42×C47—21no—
198C42×C47—21no—
199C42×C47C22×C412yes—
200C42×C47#4112yes—
201#10625335—28no—
202#10625334—28no—
203(C2×D47)⋊C4—24no—
204(C2×D47)⋊C4—24no—
205(C2×D47)⋊C4—42no—
206(C2×D47)⋊C4—42no—
207(C2×D47)⋊C4—81no—
208C4⋊Dic47—21no—
209C4⋊Dic47—21no—
210C4⋊Dic47—21no—
211C4⋊Dic47C2×D412yes—
212Dic47⋊C4—42no—
213C4×Dic47—42no—
214C4×Dic47—81no—
215C2×C47⋊C8—21no—
216C2×C47⋊C8—21no—
217C2×C47⋊C8—21no—
218C2×C47⋊C8—21no—
219C2×C47⋊C8—21no—
220C2×C47⋊C8—21no—
221C2×C47⋊C8—21no—
222C2×C47⋊C8—21no—
223C2×C47⋊C8—21no—
224C2×C47⋊C8C22×C412yes—
225C2×C47⋊C8C22×C412yes—
226C2×C47⋊C8C2×D412yes—
227C23×C47—22no—
228C23×C47—22no—
229C23×C47—22no—
230C23×C47—41no—
231C23×C47—41no—
232C23×C47—41no—
233C23×C47—41no—
234C23×C47C22×D411yescharacteristic
235C22×D47—22no—
236C22×D47—41no—
237C22×D47—41no—
238C22×D47—41no—
239C22×D47—41no—
240C22×D47—41no—
241C22×D47—41no—
242D4×C47—22no—
243D4×C47—22no—
244D4×C47—22no—
245D4×C47C4×D414yes—
246C2×C4×C47—21no—
247C2×C4×C47—21no—
248C2×C4×C47—21no—
249C2×C4×C47—21no—
250C2×C4×C47—21no—
251C2×C4×C47—21no—
252C2×C4×C47—21no—
253C2×C4×C47—21no—
254C2×C4×C47—22no—
255C2×C4×C47—21no—
256C2×C4×C47—21no—
257C2×C4×C47—21no—
258C2×C4×C47—21no—
259C2×C4×C47—21no—
260C2×C4×C47—21no—
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×C47—84no—
272C2×C4×C47C4×D412yes—
273C2×C4×C47C4×D412yes—
274C2×C4×C47#13512yes—
275C2×C4×C47#13512yes—
276C2×C4×C47C23×C411yescharacteristic
277C2×C4×C47C22×D411yescharacteristic
278C2×C4×C47C2×#4111yescharacteristic
279C2×C4×C47C2×#4111yescharacteristic
280C2×C4×C47H(5,𝔽2)11yescharacteristic
281C2×C4×C472−1+411yescharacteristic
282C2×Dic47—22no—
283C2×Dic47—22no—
284C2×Dic47—41no—
285C2×Dic47—41no—
286C2×Dic47—41no—
287C2×Dic47—41no—
288C2×Dic47—41no—
289C2×Dic47—41no—
290C2×Dic47—41no—
291D188—22no—
292D188—22no—
293D188—41no—
294D188—41no—
295C4×D47—84no—
296Dic94—22no—
297Dic94—22no—
298Dic94—41no—
299Dic94—41no—
300C47⋊C8—22no—
301C47⋊C8—22no—
302C47⋊C8—22no—
303C47⋊C8—41no—
304#22999—471nomaximal, Sylow
305C22×C47—24no—
306C22×C47—42no—
307C22×C47—42no—
308C22×C47—42no—
309C22×C47—42no—
310C22×C47—42no—
311C22×C47—42no—
312C22×C47C2×C4×D411yescharacteristic
313C22×C47D4211yescharacteristic
314C22×C47#54811yescharacteristic
315C22×C47C2×#13511yescharacteristic
316C22×C47C2×#13511yescharacteristic
317C22×C47#57611yescharacteristic
318C22×C47#57711yescharacteristic
319C2×D47—42no—
320C2×D47—42no—
321C2×D47—42no—
322C2×D47—81no—
323C2×D47—81no—
324C2×D47—81no—
325C2×D47—81no—
326C4×C47—22no—
327C4×C47—22no—
328C4×C47—22no—
329C4×C47—22no—
330C4×C47—42no—
331C4×C47—41no—
332C4×C47—41no—
333C4×C47—81no—
334C4×C47—81no—
335C4×C47C2×C4×D411yescharacteristic
336C4×C47#52011yescharacteristic
337C4×C47#54711yescharacteristic
338C4×C47#55311yescharacteristic
339Dic47—42no—
340Dic47—42no—
341Dic47—81no—
342C2×#463—471no—
343C2×C4×SD16—471no—
344C2×C4×D8—471no—
345#2367—471no—
346#2349D4711yescharacteristic, complemented
347#1958—471no—
348#1949—471no—
349#1934—471no—
350#1933—471no—
351#1879—471no—
352#1877—471no—
353#1864—471no—
354#1863—471no—
355C8×C4⋊C4—471no—
356C4×#102—471no—
357C2×C47—44no—
358C2×C47#236111yescharacteristic
359C2×C47C4×#13511yescharacteristic
360C2×C47#294611yescharacteristic
361C2×C47#328011yescharacteristic
362C2×C47#328211yescharacteristic
363C2×C47#336011yescharacteristic
364C2×C47#336111yescharacteristic
365D47—82no—
366C22×SD16—471no—
367C22×D8—471no—
368C2×#124—471no—
369C2×C4×Q8—471no—
370C2×C4×D4—471no—
371C2×C4×D4C2×D4711yescharacteristic
372C2×C4×D4C2×D4711yescharacteristic
373C2×C4×D4C2×D4711yescharacteristic
374#463—478no—
375C4×SD16—944no—
376C4×D8—944no—
377C2×#107—471no—
378C2×#106—471no—
379C2×C4⋊C8—471no—
380C2×#103—471no—
381C2×#103—471no—
382C2×#103—471no—
383C2×#102—471no—
384C2×#102—471no—
385C2×#102—471no—
386C2×#102—471no—
387C2×#102—471no—
388C2×C4×C8—471no—
389C2×C4×C8—471no—
390C2×C4×C8—471no—
391#391—471no—
392#390—471no—
393#389C2×D4711yescharacteristic
394#389C2×D4711yescharacteristic
395#388—941no—
396#388—941no—
397#385—21no—
398#385—21no—
399#385—941no—
400#382C2×D4711yescharacteristic
401#380—21no—
402C4×C4⋊C4—471no—
403C4×C4⋊C4C2×D4711yescharacteristic
404C4×C22⋊C4—941no—
405C2×#95—21no—
406#340—471no—
407#340—471no—
408#340—471no—
409#340—471no—
410#336—471no—
411#336—471no—
412C47#2299911yescharacteristic, complemented, Sylow
413C22×Q8—471no—
414C22×D4—471no—
415C22×D4C22×D4711yescharacteristic
416C23×C4—21no—
417C23×C4—21no—
418C23×C4—21no—
419C23×C4—941no—
420C2×SD16—474no—
421C2×SD16—942no—
422C2×SD16—942no—
423C2×D8—474no—
424C2×D8—942no—
425C2×D8—942no—
426C22×C8—471no—
427C22×C8—471no—
428C22×C8—471no—
429C22×C8—471no—
430#124—474no—
431#124—942no—
432C4×Q8—942no—
433C4×Q8—1881no—
434C4×D4—22no—
435C4×D4—22no—
436C4×D4—22no—
437C4×D4—41no—
438C4×D4—41no—
439C4×D4—942no—
440C4×D4—1881no—
441C4×D4C4×D4714yescomplemented
442C2×C4⋊C4—21no—
443C2×C4⋊C4—21no—
444C2×C4⋊C4—471no—
445C2×C4⋊C4—471no—
446C2×C4⋊C4—941no—
447C2×C4⋊C4C22⋊D4711yescharacteristic
448C2×C4⋊C4C22⋊D4711yescharacteristic
449C2×C4⋊C4C22×D4711yescharacteristic
450C2×C4⋊C4C22×D4711yescharacteristic
451C2×C4⋊C4C22×D4711yescharacteristic
452C2×C22⋊C4—21no—
453C2×C22⋊C4—21no—
454C2×C22⋊C4—21no—
455C2×C22⋊C4—941no—
456C2×C22⋊C4—941no—
457C2×C22⋊C4—941no—
458C2×C22⋊C4—941no—
459C2×C22⋊C4—941no—
460C2×C42—941no—
461C2×C42—941no—
462C2×C42C22×D4711yescharacteristic
463C2×C42C22×D4711yescharacteristic
464C2×C42C22×D4711yescharacteristic
465#107—942no—
466#106—942no—
467C4⋊C8—474no—
468#103—474no—
469#103—942no—
470#103—1881no—
471#102—474no—
472#102—474no—
473#102—942no—
474#102—942no—
475#102—1881no—
476C4×C8—942no—
477C4×C8—942no—
478C4×C8—942no—
479#95—21no—
480#95—21no—
481#95—21no—
482#95—21no—
483#95—941no—
484#95—941no—
485#95—941no—
486#95C22⋊D4711yescharacteristic
487#95C22⋊D4711yescharacteristic
488C24—21no—
489C24—941no—
490C2×Q8—472no—
491C2×Q8—941no—
492C2×Q8—941no—
493C2×Q8—941no—
494C2×Q8—941no—
495C2×Q8—941no—
496C2×D4—21no—
497C2×D4—21no—
498C2×D4—21no—
499C2×D4—472no—
500C2×D4—941no—
501C2×D4—941no—
502C2×D4—941no—
503C2×D4—941no—
504C2×D4—941no—
505C2×D4C2×C4×D4712yes—
506C2×D4D4×D4712yes—
507C2×D4#1062535412yes—
508C22×C4—21no—
509C22×C4—24no—
510C22×C4—21no—
511C22×C4—21no—
512C22×C4—42no—
513C22×C4—42no—
514C22×C4—42no—
515C22×C4—42no—
516C22×C4—81no—
517C22×C4—81no—
518C22×C4—81no—
519C22×C4—81no—
520C22×C4—941no—
521C22×C4—941no—
522C22×C4—941no—
523C22×C4—3761no—
524C22×C4—1882no—
525C22×C4—1882no—
526C22×C4C2×C22⋊D4711yescharacteristic
527C22×C4C2×C22⋊D4711yescharacteristic
528C22×C4C2×C22⋊D4711yescharacteristic
529C22×C4C2×C22⋊D4711yescharacteristic
530C22×C4C2×C22⋊D4711yescharacteristic
531C22×C4C2×C22⋊D4711yescharacteristic
532C22×C4C23×D4711yescharacteristic
533SD16—948no—
534D8—948no—
535C2×C8—472no—
536C2×C8—472no—
537C2×C8—472no—
538C2×C8—941no—
539C2×C8—941no—
540C2×C8—941no—
541C2×C8—941no—
542C2×C8—941no—
543C2×C8—941no—
544C2×C8—941no—
545C2×C8—941no—
546C2×C8—941no—
547C4⋊C4—22no—
548C4⋊C4—22no—
549C4⋊C4—21no—
550C4⋊C4—21no—
551C4⋊C4—21no—
552C4⋊C4—21no—
553C4⋊C4—21no—
554C4⋊C4—81no—
555C4⋊C4—81no—
556C4⋊C4—472no—
557C4⋊C4—941no—
558C4⋊C4—941no—
559C4⋊C4—941no—
560C4⋊C4—1882no—
561C4⋊C4C2×C4×D4712yes—
562C22⋊C4—24no—
563C22⋊C4—42no—
564C22⋊C4—42no—
565C22⋊C4—944no—
566C22⋊C4—944no—
567C22⋊C4—3761no—
568C22⋊C4—1882no—
569C22⋊C4—1882no—
570C42—21no—
571C42—21no—
572C42—21no—
573C42—21no—
574C42—3761no—
575C42—1882no—
576C42C2×C4×D4712yes—
577C42#1062535012yes—
578C23—22no—
579C23—22no—
580C23—22no—
581C23—41no—
582C23—41no—
583C23—41no—
584C23—41no—
585C23—942no—
586C23—1881no—
587C23—1881no—
588C23—1881no—
589C23—1881no—
590C23—1881no—
591C23—1881no—
592C23C22×C22⋊D4711yescharacteristic
593Q8—942no—
594Q8—942no—
595Q8—1881no—
596Q8—1881no—
597D4—22no—
598D4—22no—
599D4—22no—
600D4—942no—
601D4—942no—
602D4—1881no—
603D4—1881no—
604D4#1309398614yes—
605C2×C4—21no—
606C2×C4—21no—
607C2×C4—21no—
608C2×C4—21no—
609C2×C4—21no—
610C2×C4—21no—
611C2×C4—21no—
612C2×C4—21no—
613C2×C4—21no—
614C2×C4—21no—
615C2×C4—22no—
616C2×C4—21no—
617C2×C4—21no—
618C2×C4—21no—
619C2×C4—21no—
620C2×C4—41no—
621C2×C4—41no—
622C2×C4—41no—
623C2×C4—41no—
624C2×C4—41no—
625C2×C4—41no—
626C2×C4—41no—
627C2×C4—41no—
628C2×C4—84no—
629C2×C4—84no—
630C2×C4—84no—
631C2×C4—942no—
632C2×C4—942no—
633C2×C4—3764no—
634C2×C4—1881no—
635C2×C4—1881no—
636C2×C4—1881no—
637C2×C4—1881no—
638C2×C4—1881no—
639C2×C4—1881no—
640C2×C4—1881no—
641C2×C4C4×C22⋊D4712yes—
642C2×C4C4×C22⋊D4712yes—
643C2×C4#1309404412yes—
644C2×C4#1309404412yes—
645C2×C4C22×C4×D4711yescharacteristic
646C2×C4C2×D4×D4711yescharacteristic
647C2×C4C2×#1062535011yescharacteristic
648C2×C4C2×#1062535411yescharacteristic
649C2×C4#1309406911yescharacteristic
650C2×C4#1309407211yescharacteristic
651C8—942no—
652C8—942no—
653C8—942no—
654C8—1881no—
655C22—24no—
656C22—42no—
657C22—42no—
658C22—42no—
659C22—42no—
660C22—42no—
661C22—42no—
662C22—3761no—
663C22—3761no—
664C22—3761no—
665C22—3761no—
666C22—1882no—
667C22—1882no—
668C22—1882no—
669C22C2×C4×C22⋊D4711yescharacteristic
670C22D4×C22⋊D4711yescharacteristic
671C22#1568978411yescharacteristic
672C22C2×#1309404411yescharacteristic
673C22C2×#1309404411yescharacteristic
674C22#1568992611yescharacteristic
675C22#1568993411yescharacteristic
676C4—22no—
677C4—22no—
678C4—22no—
679C4—22no—
680C4—42no—
681C4—41no—
682C4—41no—
683C4—81no—
684C4—81no—
685C4—3761no—
686C4—1882no—
687C4—1882no—
688C4C2×#1309398611yescharacteristic
689C4#1568960411yescharacteristic
690C4#1568977411yescharacteristic
691C4#1568982111yescharacteristic
692C2—44no—
693C2—3762no—
694C2#2024640411yescharacteristic
695C2C4×#1309404411yescharacteristic
696C2#2025222011yescharacteristic
697C2#2025506911yescharacteristic
698C2#2025509111yescharacteristic
699C2#2025603711yescharacteristic
700C2#2025604811yescharacteristic
subgroupG/H
centerC23C22×C22⋊D47
commutatorC2×C4×C47C23×C4
FrattiniC22×C4C23×D47
FittingC47×#2349C2
socleC23×C47C22×D4
prime radicalC22×#10625334C22
cosocleC22×C4×C47C24
hypercenter#2349D47
hypocenterC47#22999
LCSG ▷ C2×C4×C47 ▷ C2×C47 ▷ C47
UCSC1 ◁ C23 ◁ C4×C4⋊C4 ◁ #2349

Complements

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

NH ≅ G/Ntype
2. C2×C4×#10625335C2semidirect
4. #20246457C2semidirect
5. #20244197C2semidirect
6. #20244154C2semidirect
7. #20244070C2semidirect
8. #20244063C2semidirect
10. #20243722C2semidirect
11. #20243648C2semidirect
12. #20243641C2semidirect
13. C4⋊C4×C47⋊C8C2semidirect
14. C4×#13093945C2semidirect
15. C47×#2349C2semidirect
21. #15689338C4semidirect
67. C2×#10625335C2×C4semidirect
76. #13094012C2×C4semidirect
93. C4⋊(C47⋊C8)C2×C4semidirect
96. #13093947C2×C4semidirect
101. #13093944C2×C4semidirect
117. C4×D4×C47C2×C4semidirect
346. #2349D47semidirect
412. C47#22999semidirect
441. C4×D4C4×D47semidirect

Maximal subgroups

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

subgroupindex
C2×#156893382
C2×C4×#106253352
C2×C4×#106253342
#202464572
#202441972
#202441542
#202440702
#202440632
#202437362
#202437222
#202436482
#202436412
C4⋊C4×C47⋊C82
C4×#130939452
C47×#23492
#2299947