Finite Group Databasebeta

← #26234430

Subgroups — #26234430

Order 12032.

1042 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
1C2×#15689191C211yesmaximal, characteristic
2C2×#15689164C211yesmaximal, characteristic, complemented
3C22×#13093955C211yesmaximal, characteristic, complemented
4#20246319C211yesmaximal, characteristic
5C4⋊C4×C22⋊D47C211yesmaximal, characteristic
6#20244153C211yesmaximal, characteristic, complemented
7#20244150C211yesmaximal, characteristic, complemented
8#20243584C211yesmaximal, characteristic, complemented
9#20243583C211yesmaximal, characteristic, complemented
10#20243582C211yesmaximal, characteristic, complemented
11#20243555C211yesmaximal, characteristic, complemented
12#20243420C211yesmaximal, characteristic, complemented
13#20243415C211yesmaximal, characteristic, complemented
14#20243284C211yesmaximal, characteristic, complemented
15C47×#1852C211yesmaximal, characteristic, complemented
16C22×#10625324C2211yescharacteristic
17C23×C47⋊C8C2211yescharacteristic
18C2×C4×C22⋊D47—21no—
19C2×C4×C22⋊D47C2211yescharacteristic
20C2×#13093982C2211yescharacteristic
21C22×C4⋊Dic47C2211yescharacteristic
22C2×C4⋊C4×D47C2211yescharacteristic
23#15689191C418yescomplemented
24#15689164—24no—
25C2×#13093957C2211yescharacteristic
26C2×#13093957C2211yescharacteristic
27C2×#13093956C2211yescharacteristic
28C2×#13093956C2211yescharacteristic
29C2×#13093955—24no—
30C2×#13093955C2211yescharacteristic
31C2×#13093955C2211yescharacteristic
32C2×#13093955C2211yescharacteristic
33C2×#13093955C2211yescharacteristic
34C2×Dic47⋊C8C2211yescharacteristic
35C2×(C2×D47)⋊C8C2211yescharacteristic
36C2×#13093934C2211yescharacteristic
37#15689018—21no—
38#15689015—21no—
39#15689010—21no—
40#15689000—21no—
41#15688996—21no—
42#15688994—21no—
43#15688992C2211yescharacteristic
44#15688988C2211yescharacteristic
45#15688983C2211yescharacteristic
46#15688980C2211yescharacteristic
47#15688980C2211yescharacteristic
48C4⋊C4×Dic47C2211yescharacteristic
49C4⋊C4×Dic47C2211yescharacteristic
50C22⋊C4×Dic47—21no—
51#15688886C2211yescharacteristic
52#15688886C2211yescharacteristic
53#15688885C2211yescharacteristic
54#15688885C2211yescharacteristic
55C22×C4⋊C4×C47C2211yescharacteristic
56C2×#107×C47C2211yescharacteristic
57C2×#107×C47C2211yescharacteristic
58C2×C22⋊C8×C47C2211yescharacteristic
59C47×#380C2211yescharacteristic
60C47×#340C2211yescharacteristic
61C47×#340C2211yescharacteristic
62C22×C22⋊D47D411yescharacteristic
63C23×Dic47—21no—
64C22×C4×D47—21no—
65C22×C4×D47C2311yescharacteristic
66C2×#10625324—22no—
67C2×#10625324—22no—
68C2×#10625324C2×C414yescomplemented
69C22×C47⋊C8—22no—
70C22×C47⋊C8—22no—
71C22×C47⋊C8C2×C414yescomplemented
72C22×C47⋊C8C2311yescharacteristic
73C22×C47⋊C8C2311yescharacteristic
74C4×C22⋊D47—44no—
75C4×C22⋊D47C2×C414yes—
76C4×C22⋊D47Q814yes—
77#13093982—22no—
78#13093982—41no—
79C2×C4⋊Dic47—22no—
80C2×C4⋊Dic47—21no—
81C2×C4⋊Dic47—41no—
82C2×C4⋊Dic47C2311yescharacteristic
83C2×C4⋊Dic47C2311yescharacteristic
84C2×C4⋊Dic47C2311yescharacteristic
85C2×C4⋊Dic47C2311yescharacteristic
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⋊Dic47D411yescharacteristic
94C2×(C2×D47)⋊C4—21no—
95C2×(C2×D47)⋊C4—21no—
96C2×(C2×D47)⋊C4—21no—
97C2×(C2×D47)⋊C4D411yescharacteristic
98C2×C4×Dic47—21no—
99C2×C4×Dic47—21no—
100C2×C4×Dic47—21no—
101C2×C4×Dic47C2311yescharacteristic
102#13093957—22no—
103#13093957—22no—
104#13093956—22no—
105#13093956—41no—
106#13093955—22no—
107#13093955—22no—
108#13093955—22no—
109#13093955D414yescomplemented
110Dic47⋊C8C2×C414yescomplemented
111(C2×D47)⋊C8C2×C414yescomplemented
112#13093934C2×C414yescomplemented
113C47⋊#95—21no—
114C47⋊#95—21no—
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#107×C47—22no—
133#107×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×Dic47—42no—
161C22×Dic47—42no—
162C22×Dic47—81no—
163C22×Dic47C2×D411yescharacteristic
164C22×Dic47C2×D411yescharacteristic
165C22×Dic47C2×D411yescharacteristic
166C2×C4×D47—21no—
167C2×C4×D47—21no—
168C2×C4×D47—21no—
169C2×C4×D47—21no—
170C2×C4×D47—42no—
171C2×C4×D47—42no—
172C2×C4×D47—81no—
173C2×C4×D47C22×C412yes—
174C2×C4×D47C2×Q812yes—
175C2×C8×C47—21no—
176C2×C8×C47—21no—
177C2×C8×C47—21no—
178C2×C8×C47—21no—
179C2×C8×C47C22×C412yes—
180C2×C8×C47C22×C412yes—
181C4⋊C4×C47—21no—
182C4⋊C4×C47—21no—
183C4⋊C4×C47—21no—
184C4⋊C4×C47—21no—
185C4⋊C4×C47—21no—
186C4⋊C4×C47—21no—
187C4⋊C4×C47—21no—
188C4⋊C4×C47—42no—
189C4⋊C4×C47C2×D412yes—
190C22⋊C4×C47—42no—
191C22⋊Dic47—42no—
192C22⋊Dic47C4⋊C414yes—
193(C2×D47)⋊C4—42no—
194(C2×D47)⋊C4—42no—
195(C2×D47)⋊C4—81no—
196(C2×D47)⋊C4C4⋊C414yes—
197C4⋊Dic47—21no—
198C4⋊Dic47—21no—
199C4⋊Dic47—21no—
200C4⋊Dic47—21no—
201C4⋊Dic47—21no—
202C4⋊Dic47—21no—
203C4⋊Dic47—21no—
204C4⋊Dic47—42no—
205C4⋊Dic47C2×D412yes—
206Dic47⋊C4—42no—
207Dic47⋊C4—42no—
208Dic47⋊C4—81no—
209Dic47⋊C4C4⋊C414yes—
210C4×Dic47—42no—
211C4×Dic47—42no—
212C4×Dic47—81no—
213C4×Dic47C22×C412yes—
214C4×Dic47C2×Q812yes—
215C2×C47⋊C8—21no—
216C2×C47⋊C8—21no—
217C2×C47⋊C8—28no—
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×C47C2×C4⋊C412yes—
228C23×C47AGL(1,ℤ/8)12yes—
229C23×C47#13712yes—
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—21no—
270C2×Dic47—21no—
271C2×Dic47—22no—
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×Dic47—41no—
282C2×Dic47—41no—
283C2×Dic47—84no—
284C2×Dic47C2×C4⋊C412yes—
285C2×Dic47C2×C4⋊C412yes—
286C2×Dic47C2×C4⋊C412yes—
287C4×D47—22no—
288C4×D47—22no—
289C4×D47—22no—
290C4×D47—22no—
291C4×D47—84no—
292C8×C47—22no—
293C8×C47—22no—
294C47⋊C8—22no—
295C47⋊C8C4×D414yescomplemented
296#22659—471nomaximal, Sylow
297C22×C47—22no—
298C22×C47—22no—
299C22×C47—22no—
300C22×C47—22no—
301C22×C47—22no—
302C22×C47—22no—
303C22×C47#42814yescomplemented
304C22×C47C22×C4⋊C411yescharacteristic
305C22×C47D4211yescharacteristic
306C22×C47#54711yescharacteristic
307C22×C47C2×AGL(1,ℤ/8)11yescharacteristic
308C22×C47C2×#13711yescharacteristic
309C22×C47#57711yescharacteristic
310C22×C47#57711yescharacteristic
311C2×D47—22no—
312C2×D47—22no—
313C2×D47—22no—
314C2×D47—41no—
315C2×D47—41no—
316C2×D47—41no—
317C2×D47—41no—
318C4×C47—22no—
319C4×C47—42no—
320C4×C47—81no—
321C4×C47—81no—
322C4×C47—81no—
323C4×C47C2×C4×D411yescharacteristic
324C4×C47#52011yescharacteristic
325C4×C47D4×Q811yescharacteristic
326C4×C47#55411yescharacteristic
327Dic47—22no—
328Dic47—22no—
329Dic47—22no—
330Dic47—42no—
331Dic47—81no—
332Dic47—81no—
333Dic47—81no—
334C2×#435—471no—
335C2×#428—471no—
336C22×#106—471no—
337#2352—471no—
338D4×C4⋊C4—471no—
339#1949—471no—
340#1948—471no—
341#1854—471no—
342#1853—471no—
343#1853—471no—
344#1852D4711yescharacteristic, complemented
345#1847—471no—
346#1809—471no—
347#1808—471no—
348#1776—471no—
349C2×C47—24no—
350C2×C47D4×C4⋊C411yescharacteristic
351C2×C47C2×#42811yescharacteristic
352C2×C47#291211yescharacteristic
353C2×C47#326511yescharacteristic
354C2×C47#326611yescharacteristic
355C2×C47#334411yescharacteristic
356C2×C47#334511yescharacteristic
357D47—42no—
358C22×M16—471no—
359C23×C8—471no—
360C2×C4×D4—471no—
361C2×C4×D4—941no—
362C2×#117—471no—
363C22×C4⋊C4—471no—
364C22×C4⋊C4—471no—
365C22×C4⋊C4C2×D4711yescharacteristic
366#435—478no—
367#428—944no—
368C2×#107—471no—
369C2×#107—471no—
370C2×#107C2×D4711yescharacteristic
371C2×#107C2×D4711yescharacteristic
372C2×#106—471no—
373C2×#106—471no—
374C2×#106—471no—
375C2×#106—471no—
376C2×#106—471no—
377C2×#106—471no—
378C2×#106—944no—
379C2×C4⋊C8—471no—
380C2×C22⋊C8—471no—
381C2×C22⋊C8C2×D4711yescharacteristic
382C2×#97—471no—
383#389—941no—
384#388—941no—
385#387—941no—
386#386—941no—
387#385—941no—
388#385—941no—
389#384—471no—
390#382—471no—
391#380—471no—
392#380—471no—
393#380—471no—
394#380C2×D4711yescharacteristic
395C4×C4⋊C4—471no—
396C4×C4⋊C4—471no—
397C4×C22⋊C4—941no—
398#340—471no—
399#340—471no—
400#340—471no—
401#340—471no—
402#340C2×D4711yescharacteristic
403#340C2×D4711yescharacteristic
404C47#2265911yescharacteristic, complemented, Sylow
405C22×D4—471no—
406C23×C4—21no—
407C23×C4—471no—
408C23×C4—941no—
409C23×C4—941no—
410C23×C4C22×D4711yescharacteristic
411C2×M16—474no—
412C2×M16—942no—
413C2×M16—942no—
414C22×C8—471no—
415C22×C8—474no—
416C22×C8—471no—
417C22×C8—942no—
418C22×C8—942no—
419C22×C8C22×D4711yescharacteristic
420C22×C8C22×D4711yescharacteristic
421C4×D4—474no—
422C4×D4—474no—
423C4×D4—1884no—
424#117—942no—
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—942no—
436C2×C4⋊C4—941no—
437C2×C4⋊C4—941no—
438C2×C4⋊C4—941no—
439C2×C4⋊C4—941no—
440C2×C4⋊C4—1881no—
441C2×C4⋊C4—1881no—
442C2×C4⋊C4C22×D4711yescharacteristic
443C2×C4⋊C4C22×D4711yescharacteristic
444C2×C4⋊C4C22×D4711yescharacteristic
445C2×C4⋊C4C22×D4711yescharacteristic
446C2×C22⋊C4—21no—
447C2×C22⋊C4—471no—
448C2×C22⋊C4—471no—
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—
457#107—22no—
458#107—41no—
459#107—942no—
460#107—942no—
461#106—474no—
462#106—942no—
463#106—942no—
464#106—942no—
465#106—942no—
466#106—1881no—
467C4⋊C8—474no—
468C22⋊C8—474no—
469C22⋊C8C4×D4714yescomplemented
470#97—474no—
471#95—21no—
472#95—941no—
473#95—941no—
474#95—941no—
475#95—941no—
476#95—941no—
477#95—941no—
478#95—941no—
479C24—471no—
480C24D4×D4711yescharacteristic
481C2×D4—474no—
482C2×D4—942no—
483C2×D4—942no—
484C22×C4—21no—
485C22×C4—21no—
486C22×C4—21no—
487C22×C4—21no—
488C22×C4—21no—
489C22×C4—21no—
490C22×C4—21no—
491C22×C4—21no—
492C22×C4—42no—
493C22×C4—42no—
494C22×C4—81no—
495C22×C4—471no—
496C22×C4—471no—
497C22×C4—471no—
498C22×C4—472no—
499C22×C4—472no—
500C22×C4—941no—
501C22×C4—941no—
502C22×C4—941no—
503C22×C4—941no—
504C22×C4—941no—
505C22×C4—941no—
506C22×C4—941no—
507C22×C4—941no—
508C22×C4—3761no—
509C22×C4—3761no—
510C22×C4—1882no—
511C22×C4—1882no—
512C22×C4—1882no—
513C22×C4—1882no—
514C22×C4C2×C4×D4712yes—
515C22×C4D4×D4711yescharacteristic
516C22×C4Q8×D4712yes—
517C22×C4C23×D4711yescharacteristic
518M16—948no—
519C2×C8—21no—
520C2×C8—21no—
521C2×C8—21no—
522C2×C8—21no—
523C2×C8—472no—
524C2×C8—472no—
525C2×C8—472no—
526C2×C8—472no—
527C2×C8—948no—
528C2×C8—941no—
529C2×C8—941no—
530C2×C8C2×C4×D4712yes—
531C2×C8C2×C4×D4712yes—
532C4⋊C4—21no—
533C4⋊C4—21no—
534C4⋊C4—21no—
535C4⋊C4—21no—
536C4⋊C4—21no—
537C4⋊C4—21no—
538C4⋊C4—21no—
539C4⋊C4—42no—
540C4⋊C4—474no—
541C4⋊C4—472no—
542C4⋊C4—941no—
543C4⋊C4—941no—
544C4⋊C4—941no—
545C4⋊C4—941no—
546C4⋊C4—941no—
547C4⋊C4—941no—
548C4⋊C4—941no—
549C4⋊C4—3761no—
550C4⋊C4—1882no—
551C4⋊C4—1882no—
552C4⋊C4—1882no—
553C4⋊C4D4×D4712yes—
554C22⋊C4—42no—
555C22⋊C4—474no—
556C22⋊C4—474no—
557C22⋊C4—3761no—
558C22⋊C4—1882no—
559C22⋊C4—1882no—
560C22⋊C4—1882no—
561C42—472no—
562C42—472no—
563C42—3761no—
564C42—1882no—
565C42—1882no—
566C23—21no—
567C23—21no—
568C23—21no—
569C23—21no—
570C23—472no—
571C23—941no—
572C23—941no—
573C23—941no—
574C23—941no—
575C23—941no—
576C23—941no—
577C23C4⋊C4×D4712yes—
578C23#1309404812yes—
579C23#1309405612yes—
580C23C2×D4×D4711yescharacteristic
581D4—948no—
582C2×C4—21no—
583C2×C4—21no—
584C2×C4—22no—
585C2×C4—22no—
586C2×C4—22no—
587C2×C4—22no—
588C2×C4—22no—
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—41no—
600C2×C4—84no—
601C2×C4—472no—
602C2×C4—472no—
603C2×C4—472no—
604C2×C4—941no—
605C2×C4—941no—
606C2×C4—941no—
607C2×C4—941no—
608C2×C4—941no—
609C2×C4—941no—
610C2×C4—942no—
611C2×C4—942no—
612C2×C4—942no—
613C2×C4—942no—
614C2×C4—942no—
615C2×C4—3764no—
616C2×C4—3764no—
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×C4—1881no—
627C2×C4—1881no—
628C2×C4C4⋊C4×D4712yes—
629C2×C4C22×C4×D4711yescharacteristic
630C2×C4C2×D4×D4711yescharacteristic
631C2×C4C2×Q8×D4711yescharacteristic
632C2×C4#41×D4711yescharacteristic
633C2×C4#1309406911yescharacteristic
634C2×C4#1309407111yescharacteristic
635C8—22no—
636C8—22no—
637C8—474no—
638C8—942no—
639C22—22no—
640C22—22no—
641C22—22no—
642C22—22no—
643C22—22no—
644C22—22no—
645C22—942no—
646C22—942no—
647C22—942no—
648C22—1881no—
649C22—1881no—
650C22—1881no—
651C22—1881no—
652C22#1568916414yescomplemented
653C22C2×C4⋊C4×D4711yescharacteristic
654C22#1568975511yescharacteristic
655C22#1568977111yescharacteristic
656C22C2×#1309404811yescharacteristic
657C22C2×#1309405611yescharacteristic
658C22#1568993211yescharacteristic
659C22#1568993311yescharacteristic
660C4—22no—
661C4—42no—
662C4—81no—
663C4—81no—
664C4—81no—
665C4—942no—
666C4—942no—
667C4—942no—
668C4—3761no—
669C4—3761no—
670C4—3761no—
671C4—1882no—
672C4C4×D4×D4711yescharacteristic
673C4#1568960211yescharacteristic
674C4#1568978611yescharacteristic
675C4#1568982711yescharacteristic
676C2—24no—
677C2—1882no—
678C2#2024628611yescharacteristic
679C2C2×#1568916411yescharacteristic
680C2#2025198211yescharacteristic
681C2#2025488711yescharacteristic
682C2#2025489111yescharacteristic
683C2#2025584111yescharacteristic
684C2#2025586211yescharacteristic
subgroupG/H
centerC23C2×D4×D47
commutatorC2×C4×C47C23×C4
FrattiniC22×C4C23×D47
FittingC47×#1852C2
socleC23×C47C22×D4
prime radicalC22×C22⋊D47D4
cosocleC22×C4×C47C24
hypercenter#1852D47
hypocenterC47#22659
LCSG ▷ C2×C4×C47 ▷ C2×C47 ▷ C47
UCSC1 ◁ C23 ◁ C23×C4 ◁ #1852

Complements

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

NH ≅ G/Ntype
2. C2×#15689164C2semidirect
3. C22×#13093955C2semidirect
6. #20244153C2semidirect
7. #20244150C2semidirect
8. #20243584C2semidirect
9. #20243583C2semidirect
10. #20243582C2semidirect
11. #20243555C2semidirect
12. #20243420C2semidirect
13. #20243415C2semidirect
14. #20243284C2semidirect
15. C47×#1852C2semidirect
23. #15689191C4semidirect
68. C2×#10625324C2×C4semidirect
71. C22×C47⋊C8C2×C4semidirect
109. #13093955D4semidirect
110. Dic47⋊C8C2×C4semidirect
111. (C2×D47)⋊C8C2×C4semidirect
112. #13093934C2×C4semidirect
134. C22⋊C8×C47C2×C4semidirect
295. C47⋊C8C4×D4semidirect
303. C22×C47#428semidirect
344. #1852D47semidirect
404. C47#22659semidirect
469. C22⋊C8C4×D47semidirect
652. C22#15689164semidirect

Maximal subgroups

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

subgroupindex
C2×#156891912
C2×#156891642
C22×#130939552
#202463192
C4⋊C4×C22⋊D472
#202441532
#202441502
#202435842
#202435832
#202435822
#202435552
#202434202
#202434152
#202432842
C47×#18522
#2265947