Finite Group Databasebeta

← #35422557

Subgroups — #35422557

Order 21248.

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×#19127771C211yesmaximal, characteristic
2C2×#19127740C211yesmaximal, characteristic, complemented
3C2×#106×D83C211yesmaximal, characteristic, complemented
4#24910395C211yesmaximal, characteristic
5#24910363C211yesmaximal, characteristic
6#24908233C211yesmaximal, characteristic, complemented
7#24907661C211yesmaximal, characteristic, complemented
8#24907657C211yesmaximal, characteristic, complemented
9#24907654C211yesmaximal, characteristic, complemented
10#24907652C211yesmaximal, characteristic, complemented
11#24907629C211yesmaximal, characteristic, complemented
12#24907495C211yesmaximal, characteristic, complemented
13#24907491C211yesmaximal, characteristic, complemented
14#24907361C211yesmaximal, characteristic, complemented
15C83×#1948C211yesmaximal, characteristic, complemented
16C22×#13050573C2211yescharacteristic
17C22×C8×D83C2211yescharacteristic
18C2×C4×D332C2211yescharacteristic
19C2×#14581754—21no—
20C2×#14581750C2211yescharacteristic
21C2×C4⋊C4×D83C2211yescharacteristic
22C2×C4⋊C4×D83C2211yescharacteristic
23C2×C4⋊C4×D83C2211yescharacteristic
24#19127771C418yescomplemented
25#19127740—24no—
26C2×#14581726C2211yescharacteristic
27C2×#14581725C2211yescharacteristic
28C2×#14581725C2211yescharacteristic
29C2×#14581725C2211yescharacteristic
30C2×#14581724C2211yescharacteristic
31C2×#14581723C2211yescharacteristic
32C2×#14581723C2211yescharacteristic
33C2×#14581723C2211yescharacteristic
34#106×D83—24no—
35C2×(C2×D83)⋊C8C2211yescharacteristic
36C2×(C2×D83)⋊C8C2211yescharacteristic
37C2×#14581703C2211yescharacteristic
38#19127597—21no—
39#19127592—21no—
40#19127586—21no—
41#19127579—21no—
42#19127572—21no—
43#19127572—21no—
44#19127567C2211yescharacteristic
45#19127558C2211yescharacteristic
46#19127558C2211yescharacteristic
47#19127558C2211yescharacteristic
48#19127558C2211yescharacteristic
49C4×C4⋊Dic83C2211yescharacteristic
50C4×(C2×D83)⋊C4—21no—
51#19127464C2211yescharacteristic
52#19127464C2211yescharacteristic
53#19127463C2211yescharacteristic
54#19127463C2211yescharacteristic
55C2×#106×C83C2211yescharacteristic
56C2×#106×C83C2211yescharacteristic
57C2×C4⋊C8×C83C2211yescharacteristic
58#384×C83C2211yescharacteristic
59C4×C4⋊C4×C83C2211yescharacteristic
60#340×C83C2211yescharacteristic
61#340×C83C2211yescharacteristic
62C22×D332D411yescharacteristic
63C22×C4×D83—21no—
64C22×C4×D83—21no—
65C22×C4×D83—21no—
66C22×C4×D83C2311yescharacteristic
67C22×C4×D83C2311yescharacteristic
68C2×#13050573—22no—
69C2×#13050573—22no—
70C2×#13050573C2×C414yescomplemented
71C22×C83⋊C8C2311yescharacteristic
72C22×C83⋊C8C2311yescharacteristic
73C2×C8×D83—22no—
74C2×C8×D83—22no—
75C2×C8×D83C2×C414yescomplemented
76C4×D332C2×C414yes—
77C4×D332Q814yes—
78#14581754—44no—
79#14581750—22no—
80#14581750—41no—
81C2×C4⋊Dic83D411yescharacteristic
82C2×C4⋊Dic83C2311yescharacteristic
83C2×C4⋊Dic83C2311yescharacteristic
84C2×C4⋊Dic83C2311yescharacteristic
85C2×C4⋊Dic83C2311yescharacteristic
86C2×Dic83⋊C4—21no—
87C2×Dic83⋊C4—21no—
88C2×Dic83⋊C4—21no—
89C4⋊C4×D83—22no—
90C4⋊C4×D83—22no—
91C4⋊C4×D83—22no—
92C4⋊C4×D83—41no—
93C4⋊C4×D83—41no—
94C4⋊C4×D83—41no—
95C2×(C2×D83)⋊C4—21no—
96C2×(C2×D83)⋊C4—21no—
97C2×(C2×D83)⋊C4—21no—
98C2×(C2×D83)⋊C4—21no—
99C2×(C2×D83)⋊C4—21no—
100C2×(C2×D83)⋊C4D411yescharacteristic
101C2×(C2×D83)⋊C4D411yescharacteristic
102C2×C4×Dic83—21no—
103C2×C4×Dic83—21no—
104#14581726—22no—
105#14581725—22no—
106#14581725—22no—
107#14581725—41no—
108#14581724—22no—
109#14581723—22no—
110#14581723—41no—
111#14581723D414yescomplemented
112(C2×D83)⋊C8C2×C414yescomplemented
113(C2×D83)⋊C8C2×C414yescomplemented
114#14581703C2×C414yescomplemented
115C83⋊#95—21no—
116C83⋊#95—21no—
117C83⋊#95—21no—
118C83⋊#95—21no—
119C83⋊#95—21no—
120C83⋊#95—21no—
121C83⋊#95—21no—
122C22×C8×C83C2311yescharacteristic
123C22×C8×C83C2311yescharacteristic
124C2×C4⋊C4×C83—21no—
125C2×C4⋊C4×C83—21no—
126C2×C4⋊C4×C83C2311yescharacteristic
127C2×C4⋊C4×C83C2311yescharacteristic
128C2×C4⋊C4×C83C2311yescharacteristic
129C2×C4⋊C4×C83C2311yescharacteristic
130C2×C42×C83—21no—
131C2×C42×C83C2311yescharacteristic
132#106×C83—22no—
133#106×C83—22no—
134C4⋊C8×C83C2×C414yescomplemented
135#95×C83—21no—
136C23×D83C2×D411yescharacteristic
137C23×D83C2×D411yescharacteristic
138C2×D332—22no—
139C2×D332—22no—
140C2×D332C4⋊C414yes—
141C22×Dic83—21no—
142C22×Dic83—21no—
143C22×Dic83—21no—
144C22×Dic83—21no—
145C22×Dic83C2×D411yescharacteristic
146C22×Dic83C2×D411yescharacteristic
147C2×C4×D83—21no—
148C2×C4×D83—21no—
149C2×C4×D83—21no—
150C2×C4×D83—21no—
151C2×C4×D83—21no—
152C2×C4×D83—21no—
153C2×C4×D83—21no—
154C2×C4×D83—21no—
155C2×C4×D83—42no—
156C2×C4×D83—42no—
157C2×C4×D83—42no—
158C2×C4×D83—42no—
159C2×C4×D83—42no—
160C2×C4×D83—42no—
161C2×C4×D83—81no—
162C2×C4×D83—81no—
163C2×C4×D83—81no—
164C2×C4×D83C22×C412yes—
165C2×C4×D83C22×C412yes—
166C2×C4×D83C2×Q812yes—
167C2×C4×D83C2×Q812yes—
168#13050573—28no—
169C2×C83⋊C8—21no—
170C2×C83⋊C8—21no—
171C2×C83⋊C8C22×C412yes—
172C2×C83⋊C8C22×C412yes—
173C2×C83⋊C8C2×D412yes—
174C2×C83⋊C8#4112yes—
175C8×D83—28no—
176C4⋊Dic83—21no—
177C4⋊Dic83—21no—
178C4⋊Dic83—21no—
179C4⋊Dic83—21no—
180C4⋊Dic83—21no—
181C4⋊Dic83—21no—
182C4⋊Dic83—21no—
183C4⋊Dic83C4⋊C414yes—
184C4⋊Dic83C2×D412yes—
185Dic83⋊C4—42no—
186Dic83⋊C4—42no—
187Dic83⋊C4—42no—
188(C2×D83)⋊C4—42no—
189(C2×D83)⋊C4—42no—
190(C2×D83)⋊C4—42no—
191(C2×D83)⋊C4—42no—
192(C2×D83)⋊C4—81no—
193(C2×D83)⋊C4C4⋊C414yes—
194(C2×D83)⋊C4C4⋊C414yes—
195C4×Dic83—42no—
196C4×Dic83—42no—
197C22×C4×C83—21no—
198C22×C4×C83—21no—
199C22×C4×C83—21no—
200C22×C4×C83—21no—
201C22×C4×C83C2×D411yescharacteristic
202C22×C4×C83C2×D411yescharacteristic
203C22×C4×C83C2411yescharacteristic
204C2×C8×C83—21no—
205C2×C8×C83—21no—
206C2×C8×C83—21no—
207C2×C8×C83—21no—
208C2×C8×C83C22×C412yes—
209C2×C8×C83C22×C412yes—
210C4⋊C4×C83—21no—
211C4⋊C4×C83—21no—
212C4⋊C4×C83—21no—
213C4⋊C4×C83—21no—
214C4⋊C4×C83—21no—
215C4⋊C4×C83—21no—
216C4⋊C4×C83—21no—
217C4⋊C4×C83—42no—
218C4⋊C4×C83—81no—
219C4⋊C4×C83C2×D412yes—
220C42×C83—81no—
221C42×C83C22×C412yes—
222C42×C83C2×Q812yes—
223C23×C83C22×D411yescharacteristic
224C22×D83—21no—
225C22×D83—21no—
226C22×D83—21no—
227C22×D83—21no—
228C22×D83—21no—
229C22×D83—21no—
230C22×D83—21no—
231C22×D83—21no—
232C22×D83—21no—
233C22×D83—21no—
234C22×D83C2×C4⋊C412yes—
235C22×D83C2×C4⋊C412yes—
236C22×D83AGL(1,ℤ/8)12yes—
237C22×D83#13712yes—
238C2×C4×C83—21no—
239C2×C4×C83—21no—
240C2×C4×C83—21no—
241C2×C4×C83—21no—
242C2×C4×C83—22no—
243C2×C4×C83—41no—
244C2×C4×C83—41no—
245C2×C4×C83—41no—
246C2×C4×C83—41no—
247C2×C4×C83—41no—
248C2×C4×C83—41no—
249C2×C4×C83—41no—
250C2×C4×C83—41no—
251C2×C4×C83—41no—
252C2×C4×C83—41no—
253C2×C4×C83—41no—
254C2×C4×C83C2×C4⋊C412yes—
255C2×C4×C83C2×C4⋊C412yes—
256C2×C4×C83C23×C411yescharacteristic
257C2×C4×C83C22×D411yescharacteristic
258C2×C4×C83C22×Q811yescharacteristic
259C2×C4×C83C2×#4111yescharacteristic
260C2×C4×C83H(5,𝔽2)11yescharacteristic
261C2×C4×C832−1+411yescharacteristic
262C2×Dic83—21no—
263C2×Dic83—21no—
264C2×Dic83—21no—
265C2×Dic83—21no—
266C2×Dic83—22no—
267C2×Dic83—41no—
268C2×Dic83—41no—
269C2×Dic83—41no—
270C2×Dic83—41no—
271C2×Dic83—41no—
272C2×Dic83—41no—
273C2×Dic83—41no—
274C2×Dic83—41no—
275C2×Dic83—41no—
276C2×Dic83—41no—
277C2×Dic83—41no—
278C2×Dic83C2×C4⋊C412yes—
279C2×Dic83C2×C4⋊C412yes—
280D332—28no—
281C4×D83—22no—
282C4×D83—22no—
283C4×D83—22no—
284C4×D83—22no—
285C4×D83—22no—
286C4×D83—22no—
287C4×D83—22no—
288C4×D83—22no—
289C4×D83—84no—
290C4×D83—84no—
291C4×D83—84no—
292C8×C83—22no—
293C8×C83—22no—
294C83⋊C8—22no—
295C83⋊C8C4×D414yescomplemented
296C22×C83C22×C4⋊C411yescharacteristic
297C22×C83D4211yescharacteristic
298C22×C83#54711yescharacteristic
299C22×C83C2×AGL(1,ℤ/8)11yescharacteristic
300C22×C83C2×#13711yescharacteristic
301C22×C83#57711yescharacteristic
302C22×C83#57711yescharacteristic
303C2×D83—22no—
304C2×D83—22no—
305C2×D83—22no—
306C2×D83—22no—
307C2×D83—22no—
308C2×D83—22no—
309C2×D83—22no—
310C2×D83—22no—
311C2×D83—22no—
312C2×D83—41no—
313C2×D83—41no—
314C2×D83—41no—
315C2×D83—41no—
316C2×D83#42814yescomplemented
317C4×C83—22no—
318C4×C83—22no—
319C4×C83—42no—
320C4×C83—81no—
321C4×C83—81no—
322C4×C83—81no—
323C4×C83C2×C4×D411yescharacteristic
324C4×C83#52011yescharacteristic
325C4×C83D4×Q811yescharacteristic
326C4×C83#55411yescharacteristic
327Dic83—22no—
328Dic83—22no—
329Dic83—42no—
330Dic83—81no—
331Dic83—81no—
332Dic83—81no—
333#22659—831nomaximal, Sylow
334C2×C83D4×C4⋊C411yescharacteristic
335C2×C83C2×#42811yescharacteristic
336C2×C83#291211yescharacteristic
337C2×C83#326511yescharacteristic
338C2×C83#326611yescharacteristic
339C2×C83#334411yescharacteristic
340C2×C83#334511yescharacteristic
341D83—24no—
342D83—42no—
343C2×#435—831no—
344C2×#428—831no—
345C22×#106—831no—
346#2352—831no—
347D4×C4⋊C4—831no—
348#1949—831no—
349#1948D8311yescharacteristic, complemented
350#1854—831no—
351#1853—831no—
352#1853—831no—
353#1852—831no—
354#1847—831no—
355#1809—831no—
356#1808—831no—
357#1776—831no—
358C83#2265911yescharacteristic, complemented, Sylow
359C22×M16—831no—
360C23×C8—831no—
361C2×C4×D4—831no—
362C2×C4×D4—1661no—
363C2×#117—831no—
364C22×C4⋊C4—831no—
365C22×C4⋊C4—831no—
366C22×C4⋊C4—831no—
367#435—838no—
368#428—1664no—
369C2×#107—831no—
370C2×#107—831no—
371C2×#107—831no—
372C2×#107—831no—
373C2×#106—831no—
374C2×#106—831no—
375C2×#106—831no—
376C2×#106—831no—
377C2×#106—1664no—
378C2×#106C2×D8311yescharacteristic
379C2×#106C2×D8311yescharacteristic
380C2×C4⋊C8C2×D8311yescharacteristic
381C2×C22⋊C8—831no—
382C2×C22⋊C8—831no—
383C2×#97—831no—
384#389—1661no—
385#388—1661no—
386#387—1661no—
387#386—1661no—
388#385—1661no—
389#385—1661no—
390#384C2×D8311yescharacteristic
391#382—831no—
392#380—831no—
393#380—831no—
394#380—831no—
395#380—831no—
396C4×C4⋊C4—831no—
397C4×C4⋊C4C2×D8311yescharacteristic
398C4×C22⋊C4—1661no—
399#340—831no—
400#340—831no—
401#340—831no—
402#340—831no—
403#340C2×D8311yescharacteristic
404#340C2×D8311yescharacteristic
405C22×D4—831no—
406C23×C4—831no—
407C23×C4—831no—
408C23×C4—1661no—
409C23×C4—1661no—
410C23×C4—1661no—
411C2×M16—834no—
412C2×M16—1662no—
413C2×M16—1662no—
414C22×C8—831no—
415C22×C8—831no—
416C22×C8—834no—
417C22×C8—1662no—
418C22×C8—1662no—
419C22×C8C22×D8311yescharacteristic
420C22×C8C22×D8311yescharacteristic
421C4×D4—3324no—
422C4×D4—834no—
423C4×D4—834no—
424#117—3321no—
425#117—1662no—
426C2×C4⋊C4—21no—
427C2×C4⋊C4—21no—
428C2×C4⋊C4—3321no—
429C2×C4⋊C4—3321no—
430C2×C4⋊C4—3321no—
431C2×C4⋊C4—831no—
432C2×C4⋊C4—831no—
433C2×C4⋊C4—831no—
434C2×C4⋊C4—831no—
435C2×C4⋊C4—831no—
436C2×C4⋊C4—1662no—
437C2×C4⋊C4—1662no—
438C2×C4⋊C4—1661no—
439C2×C4⋊C4—1661no—
440C2×C4⋊C4—1661no—
441C2×C4⋊C4—1662no—
442C2×C4⋊C4C22×D8311yescharacteristic
443C2×C4⋊C4C22×D8311yescharacteristic
444C2×C4⋊C4C22×D8311yescharacteristic
445C2×C4⋊C4C22×D8311yescharacteristic
446C2×C22⋊C4—831no—
447C2×C22⋊C4—831no—
448C2×C22⋊C4—1661no—
449C2×C22⋊C4—1661no—
450C2×C22⋊C4—1661no—
451C2×C22⋊C4—1661no—
452C2×C22⋊C4—1661no—
453C2×C42—21no—
454C2×C42—1661no—
455C2×C42—1661no—
456C2×C42C22×D8311yescharacteristic
457#107—3321no—
458#107—1662no—
459#107—1662no—
460#107—1662no—
461#106—22no—
462#106—22no—
463#106—3321no—
464#106—834no—
465#106—1662no—
466#106—1662no—
467C4⋊C8C4×D8314yescomplemented
468C22⋊C8—834no—
469C22⋊C8—834no—
470#97—834no—
471#95—21no—
472#95—1661no—
473#95—1661no—
474#95—1661no—
475#95—1661no—
476#95—1661no—
477#95—1661no—
478#95—1661no—
479C24—831no—
480C24—831no—
481C2×D4—834no—
482C2×D4—1662no—
483C2×D4—1662no—
484C22×C4—21no—
485C22×C4—21no—
486C22×C4—21no—
487C22×C4—21no—
488C22×C4—3322no—
489C22×C4—3322no—
490C22×C4—3322no—
491C22×C4—3322no—
492C22×C4—3322no—
493C22×C4—3322no—
494C22×C4—831no—
495C22×C4—831no—
496C22×C4—832no—
497C22×C4—832no—
498C22×C4—832no—
499C22×C4—832no—
500C22×C4—6641no—
501C22×C4—6641no—
502C22×C4—6641no—
503C22×C4—1661no—
504C22×C4—1661no—
505C22×C4—1661no—
506C22×C4—1661no—
507C22×C4—1661no—
508C22×C4—1661no—
509C22×C4—1661no—
510C22×C4—1661no—
511C22×C4—1661no—
512C22×C4—1661no—
513C22×C4—1661no—
514C22×C4—1661no—
515C22×C4D4×D8311yescharacteristic
516C22×C4D4×D8311yescharacteristic
517C22×C4C23×D8311yescharacteristic
518M16—1668no—
519C2×C8—21no—
520C2×C8—21no—
521C2×C8—21no—
522C2×C8—21no—
523C2×C8—832no—
524C2×C8—832no—
525C2×C8—832no—
526C2×C8—832no—
527C2×C8—1668no—
528C2×C8—1661no—
529C2×C8—1661no—
530C2×C8C2×C4×D8312yes—
531C2×C8C2×C4×D8312yes—
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—81no—
541C4⋊C4—3322no—
542C4⋊C4—3322no—
543C4⋊C4—3322no—
544C4⋊C4—834no—
545C4⋊C4—832no—
546C4⋊C4—1661no—
547C4⋊C4—1661no—
548C4⋊C4—1661no—
549C4⋊C4—1661no—
550C4⋊C4—1661no—
551C4⋊C4—1661no—
552C4⋊C4—1661no—
553C4⋊C4D4×D8312yes—
554C22⋊C4—3322no—
555C22⋊C4—3322no—
556C22⋊C4—3322no—
557C22⋊C4—3322no—
558C22⋊C4—834no—
559C22⋊C4—834no—
560C22⋊C4—6641no—
561C42—81no—
562C42—3322no—
563C42—3322no—
564C42C2×C4×D8312yes—
565C42Q8×D8312yes—
566C23—832no—
567C23—832no—
568C23—832no—
569C23—832no—
570C23—1661no—
571C23—1661no—
572C23—1661no—
573C23—1661no—
574C23—1661no—
575C23—1661no—
576C23—1661no—
577C23—1661no—
578C23—1661no—
579C23—1661no—
580C23C2×D4×D8311yescharacteristic
581D4—1668no—
582C2×C4—21no—
583C2×C4—21no—
584C2×C4—21no—
585C2×C4—21no—
586C2×C4—22no—
587C2×C4—41no—
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—3321no—
599C2×C4—3321no—
600C2×C4—3321no—
601C2×C4—3321no—
602C2×C4—3321no—
603C2×C4—3321no—
604C2×C4—3321no—
605C2×C4—3321no—
606C2×C4—3321no—
607C2×C4—3321no—
608C2×C4—3321no—
609C2×C4—832no—
610C2×C4—832no—
611C2×C4—6644no—
612C2×C4—6644no—
613C2×C4—6644no—
614C2×C4—1662no—
615C2×C4—1661no—
616C2×C4—1661no—
617C2×C4—1661no—
618C2×C4—1661no—
619C2×C4—1662no—
620C2×C4—1662no—
621C2×C4—1662no—
622C2×C4—1662no—
623C2×C4—1662no—
624C2×C4—1662no—
625C2×C4—1662no—
626C2×C4—1662no—
627C2×C4C4⋊C4×D8312yes—
628C2×C4C4⋊C4×D8312yes—
629C2×C4C22×C4×D8311yescharacteristic
630C2×C4C2×D4×D8311yescharacteristic
631C2×C4C2×Q8×D8311yescharacteristic
632C2×C4#41×D8311yescharacteristic
633C2×C4#1458183811yescharacteristic
634C2×C4#1458184011yescharacteristic
635C8—22no—
636C8—22no—
637C8—834no—
638C8—1662no—
639C22—3321no—
640C22—3321no—
641C22—3321no—
642C22—3321no—
643C22—834no—
644C22—1662no—
645C22—1662no—
646C22—1662no—
647C22—1662no—
648C22—1662no—
649C22—1662no—
650C22—1662no—
651C22—1662no—
652C22—1662no—
653C22C2×C4⋊C4×D8311yescharacteristic
654C22#1912833511yescharacteristic
655C22#1912835311yescharacteristic
656C22AGL(1,ℤ/8)×D8311yescharacteristic
657C22#137×D8311yescharacteristic
658C22#1912850711yescharacteristic
659C22#1912850711yescharacteristic
660C4—22no—
661C4—22no—
662C4—42no—
663C4—81no—
664C4—81no—
665C4—81no—
666C4—3322no—
667C4—6641no—
668C4—6641no—
669C4—6641no—
670C4—1662no—
671C4—1662no—
672C4C4×D4×D8311yescharacteristic
673C4#1912818311yescharacteristic
674C4#1912836611yescharacteristic
675C4#1912840711yescharacteristic
676C2—3322no—
677C2—1664no—
678C2#2491036411yescharacteristic
679C2#428×D8311yescharacteristic
680C2#2491605411yescharacteristic
681C2#2491895311yescharacteristic
682C2#2491897911yescharacteristic
683C2#2491991511yescharacteristic
684C2#2491994011yescharacteristic
subgroupG/H
centerC23C2×D4×D83
commutatorC2×C4×C83C23×C4
FrattiniC22×C4C23×D83
FittingC83×#1948C2
socleC23×C83C22×D4
prime radicalC22×D332D4
cosocleC22×C4×C83C24
hypercenter#1948D83
hypocenterC83#22659
LCSG ▷ C2×C4×C83 ▷ C2×C83 ▷ C83
UCSC1 ◁ C23 ◁ C2×C42 ◁ #1948

Complements

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

NH ≅ G/Ntype
2. C2×#19127740C2semidirect
3. C2×#106×D83C2semidirect
6. #24908233C2semidirect
7. #24907661C2semidirect
8. #24907657C2semidirect
9. #24907654C2semidirect
10. #24907652C2semidirect
11. #24907629C2semidirect
12. #24907495C2semidirect
13. #24907491C2semidirect
14. #24907361C2semidirect
15. C83×#1948C2semidirect
24. #19127771C4semidirect
70. C2×#13050573C2×C4semidirect
75. C2×C8×D83C2×C4semidirect
111. #14581723D4semidirect
112. (C2×D83)⋊C8C2×C4semidirect
113. (C2×D83)⋊C8C2×C4semidirect
114. #14581703C2×C4semidirect
134. C4⋊C8×C83C2×C4semidirect
295. C83⋊C8C4×D4semidirect
316. C2×D83#428semidirect
349. #1948D83semidirect
358. C83#22659semidirect
467. C4⋊C8C4×D83semidirect

Maximal subgroups

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

subgroupindex
C2×#191277712
C2×#191277402
C2×#106×D832
#249103952
#249103632
#249082332
#249076612
#249076572
#249076542
#249076522
#249076292
#249074952
#249074912
#249073612
C83×#19482
#2265983