Finite Group Databasebeta

← #26234490

Subgroups — #26234490

Order 12032.

1022 conjugacy classes of subgroups.

The subgroup lattice has 684 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#15689198C211yesmaximal, characteristic
2C2×#15689163C211yesmaximal, characteristic, complemented
3C2×#15689162C211yesmaximal, characteristic, complemented
4#20246332C211yesmaximal, characteristic
5C4⋊C4×C22⋊D47C211yesmaximal, characteristic
6#20244148C211yesmaximal, characteristic, complemented
7#20244145C211yesmaximal, characteristic, complemented
8#20243589C211yesmaximal, characteristic, complemented
9#20243586C211yesmaximal, characteristic, complemented
10#20243582C211yesmaximal, characteristic, complemented
11#20243543C211yesmaximal, characteristic, complemented
12#20243420C211yesmaximal, characteristic, complemented
13#20243419C211yesmaximal, characteristic, complemented
14#20243280C211yesmaximal, characteristic, complemented
15C47×#1853C211yesmaximal, characteristic, complemented
16C22×#10625329C2211yescharacteristic
17C22×#10625324C2211yescharacteristic
18C2×C4×C22⋊D47—21no—
19C2×C4×C22⋊D47C2211yescharacteristic
20C2×#13093983C2211yescharacteristic
21C2×#13093982C2211yescharacteristic
22C2×C4⋊C4×D47C2211yescharacteristic
23#15689198C418yescomplemented
24#15689163—24no—
25#15689162—24no—
26C2×#13093958C2211yescharacteristic
27C2×#13093957C2211yescharacteristic
28C2×#13093957C2211yescharacteristic
29C2×#13093957C2211yescharacteristic
30C2×#13093956C2211yescharacteristic
31C2×#13093955C2211yescharacteristic
32C2×#13093955C2211yescharacteristic
33C2×#13093955C2211yescharacteristic
34C2×Dic47⋊C8C2211yescharacteristic
35C2×(C2×D47)⋊C8C2211yescharacteristic
36C2×C8×Dic47C2211yescharacteristic
37#15689023—21no—
38#15689018—21no—
39#15689017—21no—
40#15689012—21no—
41#15688996—21no—
42#15688994—21no—
43#15688992C2211yescharacteristic
44#15688992C2211yescharacteristic
45#15688983C2211yescharacteristic
46#15688980C2211yescharacteristic
47#15688980C2211yescharacteristic
48C4⋊C4×Dic47C2211yescharacteristic
49C4⋊C4×Dic47C2211yescharacteristic
50#15688974—21no—
51#15688886C2211yescharacteristic
52#15688886C2211yescharacteristic
53#15688885C2211yescharacteristic
54#15688885C2211yescharacteristic
55C22×C4⋊C4×C47C2211yescharacteristic
56C2×#106×C47C2211yescharacteristic
57C2×#106×C47C2211yescharacteristic
58C2×C22⋊C8×C47C2211yescharacteristic
59C47×#380C2211yescharacteristic
60C47×#340C2211yescharacteristic
61C47×#340C2211yescharacteristic
62C22×C22⋊D47D411yescharacteristic
63C22×C4×D47—21no—
64C22×C4×D47C2311yescharacteristic
65C2×#10625329—22no—
66C2×#10625329—22no—
67C2×#10625329C2×C414yescomplemented
68C2×#10625324—22no—
69C2×#10625324—22no—
70C2×#10625324C2×C414yescomplemented
71C22×C47⋊C8C2311yescharacteristic
72C22×C47⋊C8C2311yescharacteristic
73C4×C22⋊D47—44no—
74C4×C22⋊D47C2×C414yes—
75C4×C22⋊D47Q814yes—
76#13093983—22no—
77#13093983—41no—
78#13093982—22no—
79#13093982—41no—
80C2×C4⋊Dic47C2311yescharacteristic
81C2×C4⋊Dic47C2311yescharacteristic
82C2×C4⋊Dic47C2311yescharacteristic
83C2×C4⋊Dic47C2311yescharacteristic
84C2×Dic47⋊C4—21no—
85C2×Dic47⋊C4—21no—
86C2×Dic47⋊C4—21no—
87C2×Dic47⋊C4—21no—
88C2×Dic47⋊C4—21no—
89C2×Dic47⋊C4D411yescharacteristic
90C4⋊C4×D47—22no—
91C4⋊C4×D47—41no—
92C2×C22⋊Dic47—21no—
93C2×C22⋊Dic47—21no—
94C2×C22⋊Dic47D411yescharacteristic
95C2×(C2×D47)⋊C4—21no—
96C2×(C2×D47)⋊C4—21no—
97C2×(C2×D47)⋊C4—21no—
98C2×(C2×D47)⋊C4D411yescharacteristic
99C2×C4×Dic47—21no—
100C2×C4×Dic47—21no—
101C2×C4×Dic47—21no—
102C2×C4×Dic47—21no—
103C2×C4×Dic47C2311yescharacteristic
104#13093958—22no—
105#13093957—22no—
106#13093957—22no—
107#13093957D414yescomplemented
108#13093956—41no—
109#13093955—22no—
110#13093955—22no—
111#13093955—22no—
112Dic47⋊C8C2×C414yescomplemented
113(C2×D47)⋊C8C2×C414yescomplemented
114C8×Dic47C2×C414yescomplemented
115C47⋊#95—21no—
116C47⋊#95—21no—
117C47⋊#95—21no—
118C47⋊#95—21no—
119C47⋊#95—21no—
120C23×C4×C47—21no—
121C23×C4×C47C2311yescharacteristic
122C22×C8×C47C2311yescharacteristic
123C22×C8×C47C2311yescharacteristic
124C2×C4⋊C4×C47—22no—
125C2×C4⋊C4×C47—21no—
126C2×C4⋊C4×C47—41no—
127C2×C4⋊C4×C47C2311yescharacteristic
128C2×C4⋊C4×C47C2311yescharacteristic
129C2×C4⋊C4×C47C2311yescharacteristic
130C2×C4⋊C4×C47C2311yescharacteristic
131C2×C22⋊C4×C47—21no—
132#106×C47—22no—
133#106×C47—41no—
134C22⋊C8×C47C2×C414yescomplemented
135#95×C47—21no—
136C24×C47C2×D411yescharacteristic
137C23×D47C2×D411yescharacteristic
138C22×C4×C47—21no—
139C22×C4×C47—21no—
140C22×C4×C47—21no—
141C22×C4×C47—21no—
142C22×C4×C47—21no—
143C22×C4×C47—21no—
144C22×C4×C47—21no—
145C22×C4×C47—21no—
146C22×C4×C47—42no—
147C22×C4×C47—42no—
148C22×C4×C47—81no—
149C22×C4×C47C22×C412yes—
150C22×C4×C47C2×D411yescharacteristic
151C22×C4×C47C2×Q812yes—
152C22×C4×C47C2411yescharacteristic
153C2×C22⋊D47—22no—
154C2×C22⋊D47—22no—
155C2×C22⋊D47C4⋊C414yes—
156C22×Dic47—21no—
157C22×Dic47—21no—
158C22×Dic47—21no—
159C22×Dic47—21no—
160C22×Dic47C2×D411yescharacteristic
161C22×Dic47C2×D411yescharacteristic
162C22×Dic47C2×D411yescharacteristic
163C2×C4×D47—21no—
164C2×C4×D47—21no—
165C2×C4×D47—21no—
166C2×C4×D47—21no—
167C2×C4×D47—42no—
168C2×C4×D47—42no—
169C2×C4×D47—81no—
170C2×C4×D47C22×C412yes—
171C2×C4×D47C2×Q812yes—
172C2×C8×C47—21no—
173C2×C8×C47—21no—
174C2×C8×C47—21no—
175C2×C8×C47—21no—
176C2×C8×C47C22×C412yes—
177C2×C8×C47C22×C412yes—
178C4⋊C4×C47—21no—
179C4⋊C4×C47—21no—
180C4⋊C4×C47—21no—
181C4⋊C4×C47—21no—
182C4⋊C4×C47—21no—
183C4⋊C4×C47—21no—
184C4⋊C4×C47—21no—
185C4⋊C4×C47—42no—
186C4⋊C4×C47C2×D412yes—
187C22⋊C4×C47—81no—
188C22⋊Dic47—42no—
189C22⋊Dic47—42no—
190C22⋊Dic47C4⋊C414yes—
191(C2×D47)⋊C4—42no—
192(C2×D47)⋊C4—42no—
193(C2×D47)⋊C4—81no—
194(C2×D47)⋊C4C4⋊C414yes—
195C4⋊Dic47—21no—
196C4⋊Dic47—21no—
197C4⋊Dic47—21no—
198C4⋊Dic47—21no—
199C4⋊Dic47—21no—
200C4⋊Dic47—21no—
201C4⋊Dic47—21no—
202C4⋊Dic47C2×D412yes—
203Dic47⋊C4—42no—
204Dic47⋊C4—42no—
205Dic47⋊C4—42no—
206Dic47⋊C4—81no—
207Dic47⋊C4—81no—
208Dic47⋊C4C4⋊C414yes—
209C4×Dic47—42no—
210C4×Dic47—42no—
211C4×Dic47—42no—
212C4×Dic47—42no—
213C4×Dic47C22×C412yes—
214C4×Dic47C2×Q812yes—
215#10625329—28no—
216C2×C47⋊C8—21no—
217C2×C47⋊C8—21no—
218C2×C47⋊C8C22×C412yes—
219C2×C47⋊C8C22×C412yes—
220C2×C47⋊C8C2×D412yes—
221C2×C47⋊C8#4112yes—
222#10625324—28no—
223C23×C47—21no—
224C23×C47—21no—
225C23×C47—21no—
226C23×C47—21no—
227C23×C47—21no—
228C23×C47—21no—
229C23×C47C2×C4⋊C412yes—
230C23×C47C22×D411yescharacteristic
231C22×D47—21no—
232C22×D47—21no—
233C22×D47—21no—
234C22×D47—21no—
235C22×D47—21no—
236C22×D47—21no—
237C22×D47C2×C4⋊C412yes—
238C2×C4×C47—21no—
239C2×C4×C47—21no—
240C2×C4×C47—22no—
241C2×C4×C47—22no—
242C2×C4×C47—22no—
243C2×C4×C47—22no—
244C2×C4×C47—22no—
245C2×C4×C47—41no—
246C2×C4×C47—41no—
247C2×C4×C47—41no—
248C2×C4×C47—41no—
249C2×C4×C47—41no—
250C2×C4×C47—41no—
251C2×C4×C47—41no—
252C2×C4×C47—41no—
253C2×C4×C47—41no—
254C2×C4×C47—41no—
255C2×C4×C47—41no—
256C2×C4×C47—84no—
257C2×C4×C47C2×C4⋊C412yes—
258C2×C4×C47C23×C411yescharacteristic
259C2×C4×C47C22×D411yescharacteristic
260C2×C4×C47C22×Q811yescharacteristic
261C2×C4×C47C2×#4111yescharacteristic
262C2×C4×C47H(5,𝔽2)11yescharacteristic
263C2×C4×C472−1+411yescharacteristic
264C22⋊D47—28no—
265C2×Dic47—21no—
266C2×Dic47—21no—
267C2×Dic47—21no—
268C2×Dic47—21no—
269C2×Dic47—22no—
270C2×Dic47—41no—
271C2×Dic47—41no—
272C2×Dic47—41no—
273C2×Dic47—41no—
274C2×Dic47—41no—
275C2×Dic47—41no—
276C2×Dic47—41no—
277C2×Dic47—41no—
278C2×Dic47—41no—
279C2×Dic47—41no—
280C2×Dic47—41no—
281C2×Dic47C2×C4⋊C412yes—
282C2×Dic47C2×C4⋊C412yes—
283C2×Dic47C2×C4⋊C412yes—
284C2×Dic47AGL(1,ℤ/8)12yes—
285C2×Dic47#13712yes—
286C4×D47—22no—
287C4×D47—22no—
288C4×D47—22no—
289C4×D47—22no—
290C4×D47—84no—
291C8×C47—22no—
292C8×C47—22no—
293C47⋊C8—22no—
294C47⋊C8C4×D414yescomplemented
295#22663—471nomaximal, Sylow
296C22×C47—22no—
297C22×C47—22no—
298C22×C47—22no—
299C22×C47—41no—
300C22×C47—41no—
301C22×C47—41no—
302C22×C47—41no—
303C22×C47C22×C4⋊C411yescharacteristic
304C22×C47D4211yescharacteristic
305C22×C47#54711yescharacteristic
306C22×C47C2×AGL(1,ℤ/8)11yescharacteristic
307C22×C47C2×#13711yescharacteristic
308C22×C47#57711yescharacteristic
309C22×C47#57711yescharacteristic
310C2×D47—22no—
311C2×D47—22no—
312C2×D47—22no—
313C2×D47—41no—
314C2×D47—41no—
315C2×D47—41no—
316C2×D47—41no—
317C4×C47—22no—
318C4×C47—42no—
319C4×C47—81no—
320C4×C47—81no—
321C4×C47—81no—
322C4×C47C2×C4×D411yescharacteristic
323C4×C47#52011yescharacteristic
324C4×C47D4×Q811yescharacteristic
325C4×C47#55411yescharacteristic
326Dic47—22no—
327Dic47—22no—
328Dic47—42no—
329Dic47—81no—
330Dic47—81no—
331Dic47—81no—
332Dic47#42814yescomplemented
333C2×#436—471no—
334C2×#428—471no—
335C2×#428—471no—
336#2354—471no—
337D4×C4⋊C4—471no—
338#1948—471no—
339#1947—471no—
340#1854—471no—
341#1854—471no—
342#1853—471no—
343#1853D4711yescharacteristic, complemented
344#1844—471no—
345#1809—471no—
346#1809—471no—
347C4×#107—471no—
348C2×C47—42no—
349C2×C47D4×C4⋊C411yescharacteristic
350C2×C47C2×#42811yescharacteristic
351C2×C47#291211yescharacteristic
352C2×C47#327211yescharacteristic
353C2×C47#327811yescharacteristic
354C2×C47#335411yescharacteristic
355C2×C47#335611yescharacteristic
356D47—42no—
357C22×M16—471no—
358C22×M16—471no—
359C2×C4×D4—471no—
360C2×C4×D4—941no—
361C2×#117—471no—
362C2×#117—471no—
363C22×C4⋊C4—471no—
364C22×C4⋊C4C2×D4711yescharacteristic
365#436—478no—
366#428—944no—
367#428—944no—
368C2×#107—471no—
369C2×#107—471no—
370C2×#107—471no—
371C2×#107—471no—
372C2×#106—471no—
373C2×#106—471no—
374C2×#106—471no—
375C2×#106—471no—
376C2×#106C2×D4711yescharacteristic
377C2×#106C2×D4711yescharacteristic
378C2×C4⋊C8—471no—
379C2×C22⋊C8—471no—
380C2×C22⋊C8C2×D4711yescharacteristic
381C2×C4×C8—471no—
382#390—941no—
383#389—941no—
384#388—941no—
385#388—941no—
386#385—941no—
387#385—941no—
388#384—471no—
389#384—471no—
390#380—471no—
391#380—471no—
392#380—471no—
393#380C2×D4711yescharacteristic
394C4×C4⋊C4—471no—
395C4×C4⋊C4—471no—
396C4×C4⋊C4—941no—
397#340—471no—
398#340—471no—
399#340—471no—
400#340—471no—
401#340C2×D4711yescharacteristic
402#340C2×D4711yescharacteristic
403C47#2266311yescharacteristic, complemented, Sylow
404C22×D4—471no—
405C23×C4—21no—
406C23×C4—471no—
407C23×C4—941no—
408C23×C4C22×D4711yescharacteristic
409C2×M16—474no—
410C2×M16—474no—
411C2×M16—942no—
412C2×M16—942no—
413C2×M16—942no—
414C2×M16—942no—
415C22×C8—471no—
416C22×C8—471no—
417C22×C8C22×D4711yescharacteristic
418C22×C8C22×D4711yescharacteristic
419C4×D4—474no—
420C4×D4—474no—
421C4×D4—1884no—
422#117—942no—
423#117—942no—
424#117—1881no—
425#117—1881no—
426C2×C4⋊C4—22no—
427C2×C4⋊C4—21no—
428C2×C4⋊C4—41no—
429C2×C4⋊C4—471no—
430C2×C4⋊C4—471no—
431C2×C4⋊C4—471no—
432C2×C4⋊C4—471no—
433C2×C4⋊C4—471no—
434C2×C4⋊C4—942no—
435C2×C4⋊C4—941no—
436C2×C4⋊C4—941no—
437C2×C4⋊C4—941no—
438C2×C4⋊C4—941no—
439C2×C4⋊C4—941no—
440C2×C4⋊C4—1881no—
441C2×C4⋊C4C22×D4711yescharacteristic
442C2×C4⋊C4C22×D4711yescharacteristic
443C2×C4⋊C4C22×D4711yescharacteristic
444C2×C4⋊C4C22×D4711yescharacteristic
445C2×C22⋊C4—21no—
446C2×C22⋊C4—471no—
447C2×C22⋊C4—471no—
448C2×C22⋊C4—941no—
449C2×C22⋊C4—941no—
450C2×C22⋊C4—941no—
451C2×C22⋊C4—941no—
452C2×C22⋊C4—941no—
453C2×C42—471no—
454C2×C42—941no—
455C2×C42—941no—
456C2×C42—941no—
457C2×C42—941no—
458#107—474no—
459#107—942no—
460#107—942no—
461#107—942no—
462#106—22no—
463#106—41no—
464#106—942no—
465#106—942no—
466#106—942no—
467#106—1881no—
468C4⋊C8—474no—
469C22⋊C8—474no—
470C22⋊C8C4×D4714yescomplemented
471C4×C8—474no—
472#95—21no—
473#95—941no—
474#95—941no—
475#95—941no—
476#95—941no—
477#95—941no—
478C24—471no—
479C24D4×D4711yescharacteristic
480C2×D4—474no—
481C2×D4—942no—
482C2×D4—942no—
483C22×C4—21no—
484C22×C4—21no—
485C22×C4—21no—
486C22×C4—21no—
487C22×C4—21no—
488C22×C4—21no—
489C22×C4—21no—
490C22×C4—21no—
491C22×C4—42no—
492C22×C4—42no—
493C22×C4—81no—
494C22×C4—471no—
495C22×C4—471no—
496C22×C4—471no—
497C22×C4—472no—
498C22×C4—472no—
499C22×C4—941no—
500C22×C4—941no—
501C22×C4—941no—
502C22×C4—941no—
503C22×C4—941no—
504C22×C4—941no—
505C22×C4—941no—
506C22×C4—941no—
507C22×C4—3761no—
508C22×C4—1882no—
509C22×C4—1882no—
510C22×C4C2×C4×D4712yes—
511C22×C4D4×D4711yescharacteristic
512C22×C4Q8×D4712yes—
513C22×C4C23×D4711yescharacteristic
514M16—948no—
515M16—948no—
516C2×C8—21no—
517C2×C8—21no—
518C2×C8—21no—
519C2×C8—21no—
520C2×C8—472no—
521C2×C8—472no—
522C2×C8—472no—
523C2×C8—472no—
524C2×C8—941no—
525C2×C8—941no—
526C2×C8C2×C4×D4712yes—
527C2×C8C2×C4×D4712yes—
528C4⋊C4—21no—
529C4⋊C4—21no—
530C4⋊C4—21no—
531C4⋊C4—21no—
532C4⋊C4—21no—
533C4⋊C4—21no—
534C4⋊C4—21no—
535C4⋊C4—42no—
536C4⋊C4—474no—
537C4⋊C4—472no—
538C4⋊C4—941no—
539C4⋊C4—941no—
540C4⋊C4—941no—
541C4⋊C4—941no—
542C4⋊C4—941no—
543C4⋊C4—941no—
544C4⋊C4—941no—
545C4⋊C4—3761no—
546C4⋊C4—3761no—
547C4⋊C4—1882no—
548C4⋊C4—1882no—
549C4⋊C4—1882no—
550C4⋊C4D4×D4712yes—
551C22⋊C4—81no—
552C22⋊C4—474no—
553C22⋊C4—474no—
554C22⋊C4—3761no—
555C22⋊C4—1882no—
556C22⋊C4—1882no—
557C22⋊C4—1882no—
558C22⋊C4—1882no—
559C42—472no—
560C42—472no—
561C42—1882no—
562C42—1882no—
563C42—1882no—
564C42—1882no—
565C23—21no—
566C23—21no—
567C23—21no—
568C23—21no—
569C23—21no—
570C23—21no—
571C23—472no—
572C23—941no—
573C23—941no—
574C23—941no—
575C23—941no—
576C23—941no—
577C23—941no—
578C23C4⋊C4×D4712yes—
579C23C2×D4×D4711yescharacteristic
580D4—948no—
581C2×C4—21no—
582C2×C4—21no—
583C2×C4—22no—
584C2×C4—22no—
585C2×C4—22no—
586C2×C4—22no—
587C2×C4—22no—
588C2×C4—41no—
589C2×C4—41no—
590C2×C4—41no—
591C2×C4—41no—
592C2×C4—41no—
593C2×C4—41no—
594C2×C4—41no—
595C2×C4—41no—
596C2×C4—41no—
597C2×C4—41no—
598C2×C4—41no—
599C2×C4—84no—
600C2×C4—472no—
601C2×C4—472no—
602C2×C4—472no—
603C2×C4—472no—
604C2×C4—472no—
605C2×C4—941no—
606C2×C4—941no—
607C2×C4—941no—
608C2×C4—941no—
609C2×C4—942no—
610C2×C4—942no—
611C2×C4—942no—
612C2×C4—942no—
613C2×C4—942no—
614C2×C4—3764no—
615C2×C4—1881no—
616C2×C4—1881no—
617C2×C4—1881no—
618C2×C4—1881no—
619C2×C4—1881no—
620C2×C4—1881no—
621C2×C4—1881no—
622C2×C4—1881no—
623C2×C4—1881no—
624C2×C4—1881no—
625C2×C4—1881no—
626C2×C4C4⋊C4×D4712yes—
627C2×C4C22×C4×D4711yescharacteristic
628C2×C4C2×D4×D4711yescharacteristic
629C2×C4C2×Q8×D4711yescharacteristic
630C2×C4#41×D4711yescharacteristic
631C2×C4#1309406911yescharacteristic
632C2×C4#1309407111yescharacteristic
633C8—22no—
634C8—22no—
635C8—474no—
636C8—942no—
637C22—22no—
638C22—22no—
639C22—22no—
640C22—41no—
641C22—41no—
642C22—41no—
643C22—41no—
644C22—942no—
645C22—942no—
646C22—942no—
647C22—1881no—
648C22—1881no—
649C22—1881no—
650C22—1881no—
651C22C2×C4⋊C4×D4711yescharacteristic
652C22#1568975511yescharacteristic
653C22#1568977111yescharacteristic
654C22AGL(1,ℤ/8)×D4711yescharacteristic
655C22#137×D4711yescharacteristic
656C22#1568992911yescharacteristic
657C22#1568992911yescharacteristic
658C4—22no—
659C4—42no—
660C4—81no—
661C4—81no—
662C4—81no—
663C4—474no—
664C4—942no—
665C4—942no—
666C4—3761no—
667C4—3761no—
668C4—3761no—
669C4—1882no—
670C4C4×D4×D4711yescharacteristic
671C4#1568960211yescharacteristic
672C4#1568978611yescharacteristic
673C4#1568982711yescharacteristic
674C2—42no—
675C2—1882no—
676C2#2024628611yescharacteristic
677C2#428×D4711yescharacteristic
678C2#2025197911yescharacteristic
679C2#2025498611yescharacteristic
680C2#2025505211yescharacteristic
681C2#2025597611yescharacteristic
682C2#2025599611yescharacteristic
subgroupG/H
centerC23C2×D4×D47
commutatorC2×C4×C47C23×C4
FrattiniC22×C4C23×D47
FittingC47×#1853C2
socleC23×C47C22×D4
prime radicalC22×C22⋊D47D4
cosocleC22×C4×C47C24
hypercenter#1853D47
hypocenterC47#22663
LCSG ▷ C2×C4×C47 ▷ C2×C47 ▷ C47
UCSC1 ◁ C23 ◁ C23×C4 ◁ #1853

Complements

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

NH ≅ G/Ntype
2. C2×#15689163C2semidirect
3. C2×#15689162C2semidirect
6. #20244148C2semidirect
7. #20244145C2semidirect
8. #20243589C2semidirect
9. #20243586C2semidirect
10. #20243582C2semidirect
11. #20243543C2semidirect
12. #20243420C2semidirect
13. #20243419C2semidirect
14. #20243280C2semidirect
15. C47×#1853C2semidirect
23. #15689198C4semidirect
67. C2×#10625329C2×C4semidirect
70. C2×#10625324C2×C4semidirect
107. #13093957D4semidirect
112. Dic47⋊C8C2×C4semidirect
113. (C2×D47)⋊C8C2×C4semidirect
114. C8×Dic47C2×C4semidirect
134. C22⋊C8×C47C2×C4semidirect
294. C47⋊C8C4×D4semidirect
332. Dic47#428semidirect
343. #1853D47semidirect
403. C47#22663semidirect
470. C22⋊C8C4×D47semidirect

Maximal subgroups

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

subgroupindex
C2×#156891982
C2×#156891632
C2×#156891622
#202463322
C4⋊C4×C22⋊D472
#202441482
#202441452
#202435892
#202435862
#202435822
#202435432
#202434202
#202434192
#202432802
C47×#18532
#2266347