Finite Group Databasebeta

← #26234433

Subgroups — #26234433

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×#15689192C211yesmaximal, characteristic
2C2×#106×D47C211yesmaximal, characteristic, complemented
3#20246318C211yesmaximal, characteristic
4C4⋊C4×C22⋊D47C211yesmaximal, characteristic
5#20244153C211yesmaximal, characteristic, complemented
6#20244148C211yesmaximal, characteristic, complemented
7#20243587C211yesmaximal, characteristic, complemented
8#20243581C211yesmaximal, characteristic, complemented
9#20243579C211yesmaximal, characteristic, complemented
10#20243574C211yesmaximal, characteristic, complemented
11#20243555C211yesmaximal, characteristic, complemented
12#20243421C211yesmaximal, characteristic, complemented
13#20243414C211yesmaximal, characteristic, complemented
14#20243288C211yesmaximal, characteristic, complemented
15C2×C47×#428C211yesmaximal, characteristic, complemented
16C22×C8×D47C2211yescharacteristic
17C2×C4×C22⋊D47—21no—
18C2×C4×C22⋊D47C2211yescharacteristic
19C2×C4⋊C4×D47C2211yescharacteristic
20C2×C4⋊C4×D47C2211yescharacteristic
21#15689192C418yescomplemented
22C2×#13093958C2211yescharacteristic
23C2×#13093957C2211yescharacteristic
24C2×#13093956C2211yescharacteristic
25C2×#13093955C2211yescharacteristic
26C2×#13093955C2211yescharacteristic
27C2×#13093955C2211yescharacteristic
28#106×D47—24no—
29C2×Dic47⋊C8C2211yescharacteristic
30C2×C22⋊(C47⋊C8)C2211yescharacteristic
31C2×(C2×D47)⋊C8C2211yescharacteristic
32C2×#13093934C2211yescharacteristic
33#15689018—21no—
34#15689017—21no—
35#15689007—21no—
36#15688999—21no—
37#15688996—21no—
38#15688994—21no—
39#15688992C2211yescharacteristic
40#15688988C2211yescharacteristic
41#15688983C2211yescharacteristic
42#15688983C2211yescharacteristic
43#15688980C2211yescharacteristic
44#15688980C2211yescharacteristic
45C4⋊C4×Dic47C2211yescharacteristic
46C4⋊C4×Dic47C2211yescharacteristic
47C4×(C2×D47)⋊C4—21no—
48#15688886C2211yescharacteristic
49#15688886C2211yescharacteristic
50#15688885C2211yescharacteristic
51#15688885C2211yescharacteristic
52#15688885C2211yescharacteristic
53#15688885C2211yescharacteristic
54C22×M16×C47C2211yescharacteristic
55C2×#117×C47C2211yescharacteristic
56C22×C4⋊C4×C47C2211yescharacteristic
57C47×#428—24no—
58C2×#107×C47C2211yescharacteristic
59C2×#107×C47C2211yescharacteristic
60C2×#106×C47C2211yescharacteristic
61C2×#106×C47C2211yescharacteristic
62C22×C22⋊D47D411yescharacteristic
63C22×C4×D47—21no—
64C22×C4×D47—21no—
65C22×C4×D47C2311yescharacteristic
66C22×C47⋊C8C2311yescharacteristic
67C22×C47⋊C8C2311yescharacteristic
68C2×C8×D47—22no—
69C2×C8×D47—22no—
70C2×C8×D47C2×C414yescomplemented
71C4×C22⋊D47—44no—
72C4×C22⋊D47C2×C414yes—
73C4×C22⋊D47Q814yes—
74C2×C4⋊Dic47C2311yescharacteristic
75C2×C4⋊Dic47C2311yescharacteristic
76C2×C4⋊Dic47C2311yescharacteristic
77C2×C4⋊Dic47C2311yescharacteristic
78C2×Dic47⋊C4—21no—
79C2×Dic47⋊C4—21no—
80C2×Dic47⋊C4—21no—
81C2×Dic47⋊C4—21no—
82C2×Dic47⋊C4D411yescharacteristic
83C4⋊C4×D47—22no—
84C4⋊C4×D47—22no—
85C4⋊C4×D47—41no—
86C4⋊C4×D47—41no—
87C2×C22⋊Dic47—21no—
88C2×C22⋊Dic47—21no—
89C2×C22⋊Dic47D411yescharacteristic
90C2×(C2×D47)⋊C4—21no—
91C2×(C2×D47)⋊C4—21no—
92C2×(C2×D47)⋊C4D411yescharacteristic
93C2×C4×Dic47—21no—
94C2×C4×Dic47—21no—
95C2×C4×Dic47C2311yescharacteristic
96#13093958—22no—
97#13093957—41no—
98#13093956—22no—
99#13093955—22no—
100#13093955—22no—
101#13093955—41no—
102Dic47⋊C8C2×C414yescomplemented
103C22⋊(C47⋊C8)C2×C414yescomplemented
104(C2×D47)⋊C8C2×C414yescomplemented
105#13093934C2×C414yescomplemented
106C47⋊#95—21no—
107C47⋊#95—21no—
108C47⋊#95—21no—
109C47⋊#95—21no—
110C47⋊#95—21no—
111C47⋊#95—21no—
112C47⋊#95—21no—
113C47⋊#95—21no—
114C23×C4×C47—21no—
115C23×C4×C47C2311yescharacteristic
116C2×M16×C47—22no—
117C2×M16×C47—22no—
118C2×M16×C47C2×C414yescomplemented
119C22×C8×C47C2311yescharacteristic
120C22×C8×C47C2311yescharacteristic
121#117×C47—22no—
122#117×C47—41no—
123C2×C4⋊C4×C47—22no—
124C2×C4⋊C4×C47—21no—
125C2×C4⋊C4×C47—41no—
126C2×C4⋊C4×C47C2311yescharacteristic
127C2×C4⋊C4×C47C2311yescharacteristic
128C2×C4⋊C4×C47C2311yescharacteristic
129C2×C4⋊C4×C47C2311yescharacteristic
130C2×C22⋊C4×C47—21no—
131C2×C42×C47—21no—
132#107×C47—22no—
133#107×C47—22no—
134#106×C47—22no—
135#106×C47D414yescomplemented
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—42no—
170C2×C4×D47—42no—
171C2×C4×D47—81no—
172C2×C4×D47—81no—
173C2×C4×D47C22×C412yes—
174C2×C4×D47C2×Q812yes—
175M16×C47—28no—
176C2×C8×C47—21no—
177C2×C8×C47—21no—
178C2×C8×C47C22×C412yes—
179C2×C8×C47C22×C412yes—
180C2×C8×C47C2×D412yes—
181C2×C8×C47#4112yes—
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—
190C4⋊C4×C47C2×D412yes—
191C22⋊C4×C47—42no—
192C42×C47—42no—
193C22⋊Dic47—42no—
194C22⋊Dic47—81no—
195C22⋊Dic47C4⋊C414yes—
196(C2×D47)⋊C4—42no—
197(C2×D47)⋊C4—42no—
198(C2×D47)⋊C4C4⋊C414yes—
199C4⋊Dic47—21no—
200C4⋊Dic47—21no—
201C4⋊Dic47—21no—
202C4⋊Dic47—21no—
203C4⋊Dic47—21no—
204C4⋊Dic47—21no—
205C4⋊Dic47—21no—
206C4⋊Dic47—21no—
207Dic47⋊C4—42no—
208Dic47⋊C4—42no—
209Dic47⋊C4—42no—
210Dic47⋊C4—81no—
211Dic47⋊C4C4⋊C414yes—
212C4×Dic47—42no—
213C4×Dic47—81no—
214C4×Dic47C22×C412yes—
215C4×Dic47C2×Q812yes—
216C2×C47⋊C8—21no—
217C2×C47⋊C8—21no—
218C2×C47⋊C8—21no—
219C2×C47⋊C8—21no—
220C2×C47⋊C8C22×C412yes—
221C2×C47⋊C8C22×C412yes—
222C8×D47—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×D47C2×C4⋊C412yes—
236C22×D47AGL(1,ℤ/8)12yes—
237C22×D47#13712yes—
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—22no—
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—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×Dic47—41no—
282C2×Dic47—41no—
283C2×Dic47C2×C4⋊C412yes—
284C2×Dic47C2×C4⋊C412yes—
285C2×Dic47C2×C4⋊C412yes—
286C4×D47—22no—
287C4×D47—22no—
288C4×D47—22no—
289C4×D47—22no—
290C4×D47—84no—
291C4×D47—84no—
292C8×C47—22no—
293C8×C47C4×D414yescomplemented
294C47⋊C8—22no—
295C47⋊C8—22no—
296#22659—471nomaximal, Sylow
297C22×C47—22no—
298C22×C47—22no—
299C22×C47—22no—
300C22×C47—41no—
301C22×C47—41no—
302C22×C47—41no—
303C22×C47—41no—
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—22no—
315C2×D47—22no—
316C2×D47—22no—
317C2×D47#42814yescomplemented
318C4×C47—22no—
319C4×C47—42no—
320C4×C47—42no—
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—81no—
331Dic47—81no—
332Dic47—81no—
333Dic47—81no—
334C2×#435—471no—
335C2×#428D4711yescharacteristic, complemented
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#1852—471no—
345#1847—471no—
346#1809—471no—
347#1808—471no—
348#1776—471no—
349C2×C47—42no—
350C2×C47D4×C4⋊C411yescharacteristic
351C2×C47C2×#42811yescharacteristic
352C2×C47#291211yescharacteristic
353C2×C47#326511yescharacteristic
354C2×C47#326611yescharacteristic
355C2×C47#334411yescharacteristic
356C2×C47#334511yescharacteristic
357D47—24no—
358C22×M16C2×D4711yescharacteristic
359C23×C8—471no—
360C2×C4×D4—471no—
361C2×C4×D4—941no—
362C2×#117C2×D4711yescharacteristic
363C22×C4⋊C4—471no—
364C22×C4⋊C4—471no—
365C22×C4⋊C4C2×D4711yescharacteristic
366#435—478no—
367#428—24no—
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—944no—
377C2×#106C2×D4711yescharacteristic
378C2×#106C2×D4711yescharacteristic
379C2×C4⋊C8—471no—
380C2×C22⋊C8—471no—
381C2×C22⋊C8—471no—
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#380—471no—
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#340—471no—
403#340—471no—
404C47#2265911yescharacteristic, complemented, Sylow
405C22×D4—471no—
406C23×C4—21no—
407C23×C4—471no—
408C23×C4—941no—
409C23×C4—941no—
410C23×C4C22×D4711yescharacteristic
411C2×M16—22no—
412C2×M16—22no—
413C2×M16C4×D4714yescomplemented
414C22×C8—471no—
415C22×C8—471no—
416C22×C8—474no—
417C22×C8—942no—
418C22×C8—942no—
419C22×C8C22×D4711yescharacteristic
420C22×C8C22×D4711yescharacteristic
421C4×D4—474no—
422C4×D4—474no—
423C4×D4—1884no—
424#117—22no—
425#117—41no—
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—21no—
454C2×C42—471no—
455C2×C42—941no—
456C2×C42—941no—
457#107—22no—
458#107—22no—
459#107—942no—
460#107—1881no—
461#106—22no—
462#106—942no—
463#106—942no—
464#106—942no—
465#106—1881no—
466#106C22⋊D4714yescomplemented
467C4⋊C8—474no—
468C22⋊C8—474no—
469C22⋊C8—474no—
470#97—474no—
471#95—941no—
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—28no—
519C2×C8—21no—
520C2×C8—21no—
521C2×C8—472no—
522C2×C8—472no—
523C2×C8—941no—
524C2×C8—941no—
525C2×C8—941no—
526C2×C8—941no—
527C2×C8—948no—
528C2×C8C2×C4×D4712yes—
529C2×C8C2×C4×D4712yes—
530C2×C8#1062535012yes—
531C2×C8C2×C22⋊D4712yes—
532C4⋊C4—21no—
533C4⋊C4—21no—
534C4⋊C4—21no—
535C4⋊C4—21no—
536C4⋊C4—21no—
537C4⋊C4—21no—
538C4⋊C4—42no—
539C4⋊C4—474no—
540C4⋊C4—941no—
541C4⋊C4—941no—
542C4⋊C4—941no—
543C4⋊C4—941no—
544C4⋊C4—941no—
545C4⋊C4—941no—
546C4⋊C4—941no—
547C4⋊C4—941no—
548C4⋊C4—3761no—
549C4⋊C4—1882no—
550C4⋊C4—1882no—
551C4⋊C4—1882no—
552C4⋊C4C2×C22⋊D4712yes—
553C4⋊C4C2×C22⋊D4712yes—
554C22⋊C4—42no—
555C22⋊C4—474no—
556C22⋊C4—474no—
557C22⋊C4—3761no—
558C22⋊C4—1882no—
559C22⋊C4—1882no—
560C22⋊C4—1882no—
561C42—42no—
562C42—472no—
563C42—472no—
564C42—3761no—
565C42—1882no—
566C23—21no—
567C23—21no—
568C23—21no—
569C23—21no—
570C23—21no—
571C23—21no—
572C23—472no—
573C23—472no—
574C23—472no—
575C23—941no—
576C23—941no—
577C23—941no—
578C23—941no—
579C23C4⋊C4×D4712yes—
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—22no—
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—3764no—
615C2×C4—3764no—
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×C4—1881no—
627C2×C4—1881no—
628C2×C4C4⋊C4×D4712yes—
629C2×C4C22×C4×D4711yescharacteristic
630C2×C4C22×C22⋊D4711yescharacteristic
631C2×C4C2×Q8×D4711yescharacteristic
632C2×C4C2×#1062535011yescharacteristic
633C2×C4#1309406911yescharacteristic
634C2×C4#1309407211yescharacteristic
635C8—22no—
636C8—942no—
637C8—942no—
638C8C4×C22⋊D4714yescomplemented
639C22—22no—
640C22—22no—
641C22—22no—
642C22—41no—
643C22—41no—
644C22—41no—
645C22—41no—
646C22—474no—
647C22—942no—
648C22—942no—
649C22—942no—
650C22—942no—
651C22—942no—
652C22—942no—
653C22C2×C4⋊C4×D4711yescharacteristic
654C22D4×C22⋊D4711yescharacteristic
655C22#1568977411yescharacteristic
656C22AGL(1,ℤ/8)×D4711yescharacteristic
657C22#137×D4711yescharacteristic
658C22#1568993211yescharacteristic
659C22#1568993311yescharacteristic
660C4—22no—
661C4—42no—
662C4—42no—
663C4—81no—
664C4—81no—
665C4—942no—
666C4—942no—
667C4—942no—
668C4—3761no—
669C4—3761no—
670C4—3761no—
671C4—3761no—
672C4C2×C4×C22⋊D4711yescharacteristic
673C4#1568960411yescharacteristic
674C4Q8×C22⋊D4711yescharacteristic
675C4#1568982811yescharacteristic
676C2—42no—
677C2—944no—
678C2C4⋊C4×C22⋊D4711yescharacteristic
679C2#428×D4711yescharacteristic
680C2#2025198211yescharacteristic
681C2#2025487711yescharacteristic
682C2#2025489211yescharacteristic
683C2#2025584411yescharacteristic
684C2#2025585911yescharacteristic
subgroupG/H
centerC23C2×D4×D47
commutatorC2×C4×C47C23×C4
FrattiniC22×C4C23×D47
FittingC2×C47×#428C2
socleC23×C47C22×D4
prime radicalC22×C22⋊D47D4
cosocleC22×C4×C47C24
hypercenterC2×#428D47
hypocenterC47#22659
LCSG ▷ C2×C4×C47 ▷ C2×C47 ▷ C47
UCSC1 ◁ C23 ◁ C23×C4 ◁ C2×#428

Complements

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

NH ≅ G/Ntype
2. C2×#106×D47C2semidirect
5. #20244153C2semidirect
6. #20244148C2semidirect
7. #20243587C2semidirect
8. #20243581C2semidirect
9. #20243579C2semidirect
10. #20243574C2semidirect
11. #20243555C2semidirect
12. #20243421C2semidirect
13. #20243414C2semidirect
14. #20243288C2semidirect
15. C2×C47×#428C2semidirect
21. #15689192C4semidirect
70. C2×C8×D47C2×C4semidirect
102. Dic47⋊C8C2×C4semidirect
103. C22⋊(C47⋊C8)C2×C4semidirect
104. (C2×D47)⋊C8C2×C4semidirect
105. #13093934C2×C4semidirect
118. C2×M16×C47C2×C4semidirect
135. #106×C47D4semidirect
293. C8×C47C4×D4semidirect
317. C2×D47#428semidirect
335. C2×#428D47semidirect
404. C47#22659semidirect
413. C2×M16C4×D47semidirect
466. #106C22⋊D47semidirect
638. C8C4×C22⋊D47semidirect

Maximal subgroups

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

subgroupindex
C2×#156891922
C2×#106×D472
#202463182
C4⋊C4×C22⋊D472
#202441532
#202441482
#202435872
#202435812
#202435792
#202435742
#202435552
#202434212
#202434142
#202432882
C2×C47×#4282
#2265947