Finite Group Databasebeta

← #35466871

Subgroups — #35466871

Order 21248.

966 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×#19127978C211yesmaximal, characteristic, complemented
2C22×#14581725C211yesmaximal, characteristic, complemented
3#24910477C211yesmaximal, characteristic
4#24908992C211yesmaximal, characteristic, complemented
5#24908954C211yesmaximal, characteristic, complemented
6#24908848C211yesmaximal, characteristic, complemented
7#24908788C211yesmaximal, characteristic, complemented
8#24908219C211yesmaximal, characteristic, complemented
9#24908031C211yesmaximal, characteristic, complemented
10#24907889C211yesmaximal, characteristic
11#24907780C211yesmaximal, characteristic
12#24907709C211yesmaximal, characteristic, complemented
13#24907650C211yesmaximal, characteristic, complemented
14#24907643C211yesmaximal, characteristic, complemented
15C83×#2440C211yesmaximal, characteristic, complemented
16C23×C83⋊C8C2211yescharacteristic
17C2×#14581766C2211yescharacteristic
18C2×C4×D332C2211yescharacteristic
19C2×(C22⋊D83)⋊C4—21no—
20C22×C4⋊Dic83C2211yescharacteristic
21#19127978—24no—
22C2×#14581725—24no—
23C2×#14581725C2211yescharacteristic
24C2×#14581725C2211yescharacteristic
25C2×#14581725C2211yescharacteristic
26C2×#14581725C2211yescharacteristic
27C2×#14581725C2211yescharacteristic
28C2×#14581725C2211yescharacteristic
29C2×C4⋊(C83⋊C8)C2211yescharacteristic
30C2×C4⋊(C83⋊C8)C2211yescharacteristic
31C2×#14581712C2211yescharacteristic
32C2×#14581712C2211yescharacteristic
33C2×#14581712C2211yescharacteristic
34C2×#14581712C2211yescharacteristic
35C2×C22⋊(C83⋊C8)C2211yescharacteristic
36#19127603C2211yescharacteristic
37#19127599C2211yescharacteristic
38#19127593—21no—
39#19127578—21no—
40#19127575—21no—
41C4×C4⋊Dic83C2211yescharacteristic
42#19127463C2211yescharacteristic
43#19127463C2211yescharacteristic
44#19127463C2211yescharacteristic
45#19127463C2211yescharacteristic
46#19127463C2211yescharacteristic
47#19127463C2211yescharacteristic
48#19127456C2211yescharacteristic
49#19127456C2211yescharacteristic
50C2×C4⋊Q8×C83C2211yescharacteristic
51C2×C22⋊Q8×C83—21no—
52C22×C4⋊C4×C83C2211yescharacteristic
53#398×C83—21no—
54#395×C83—21no—
55#389×C83C2211yescharacteristic
56#389×C83C2211yescharacteristic
57#385×C83—21no—
58#384×C83C2211yescharacteristic
59#380×C83C2211yescharacteristic
60C4×C22⋊C4×C83C2211yescharacteristic
61C22×D332C2311yescharacteristic
62C22×C22⋊D83—21no—
63C23×Dic83—21no—
64C22×C4×D83—21no—
65C22×C83⋊C8—22no—
66C22×C83⋊C8—22no—
67C22×C83⋊C8—22no—
68C22×C83⋊C8C2311yescharacteristic
69C22×C83⋊C8C2311yescharacteristic
70C22×C83⋊C8C2311yescharacteristic
71C22×C83⋊C8C2311yescharacteristic
72#14581766—22no—
73#14581766Q814yescomplemented
74C4×D332—22no—
75C4×D332—41no—
76(C22⋊D83)⋊C4—44no—
77C2×C4⋊Dic83—22no—
78C2×C4⋊Dic83—21no—
79C2×C4⋊Dic83—41no—
80C2×C4⋊Dic83C2311yescharacteristic
81C2×C4⋊Dic83C2311yescharacteristic
82C2×C4⋊Dic83C2311yescharacteristic
83C2×Dic83⋊C4—21no—
84C2×(C2×D83)⋊C4—21no—
85C2×(C2×D83)⋊C4—21no—
86C2×(C2×D83)⋊C4—21no—
87C2×(C2×D83)⋊C4—21no—
88C2×C4×Dic83—21no—
89#14581725—22no—
90#14581725—22no—
91#14581725—22no—
92#14581725—22no—
93#14581725—41no—
94#14581725D414yescomplemented
95C4⋊(C83⋊C8)—22no—
96C4⋊(C83⋊C8)—22no—
97#14581712—22no—
98#14581712—22no—
99#14581712—22no—
100#14581712—41no—
101C22⋊(C83⋊C8)—22no—
102C83⋊#95—21no—
103C83⋊#95—21no—
104C22×Q8×C83—21no—
105C23×C4×C83—21no—
106C23×C4×C83C2311yescharacteristic
107C4⋊Q8×C83—22no—
108C4⋊Q8×C83—41no—
109C22⋊Q8×C83—44no—
110C2×C4⋊C4×C83—22no—
111C2×C4⋊C4×C83—21no—
112C2×C4⋊C4×C83—21no—
113C2×C4⋊C4×C83—21no—
114C2×C4⋊C4×C83—21no—
115C2×C4⋊C4×C83—21no—
116C2×C4⋊C4×C83—21no—
117C2×C4⋊C4×C83—41no—
118C2×C4⋊C4×C83C2311yescharacteristic
119C2×C4⋊C4×C83C2311yescharacteristic
120C2×C4⋊C4×C83C2311yescharacteristic
121C2×C4⋊C4×C83C2311yescharacteristic
122C2×C22⋊C4×C83—21no—
123C2×C22⋊C4×C83D411yescharacteristic
124C2×C22⋊C4×C83D411yescharacteristic
125C2×C42×C83C2311yescharacteristic
126C2×C42×C83C2311yescharacteristic
127#95×C83—21no—
128#95×C83—21no—
129#95×C83—21no—
130#95×C83D411yescharacteristic
131#95×C83D411yescharacteristic
132C23×D83—21no—
133C2×D332—21no—
134C2×D332—21no—
135C2×D332—21no—
136C2×D332—21no—
137C2×D332—21no—
138C2×D332C2×Q812yes—
139C2×C22⋊D83—24no—
140C2×C22⋊D83—42no—
141C2×C22⋊D83—42no—
142C22×Dic83—21no—
143C22×Dic83—21no—
144C22×Dic83—21no—
145C22×Dic83—42no—
146C22×Dic83—42no—
147C22×Dic83—81no—
148C2×C4×D83—42no—
149C2×C4×D83—42no—
150C2×C4×D83—81no—
151C2×C83⋊C8—28no—
152C2×C83⋊C8—21no—
153C2×C83⋊C8—21no—
154C2×C83⋊C8—21no—
155C2×C83⋊C8—21no—
156C2×C83⋊C8—21no—
157C2×C83⋊C8—21no—
158C2×C83⋊C8—21no—
159C2×C83⋊C8—21no—
160C2×C83⋊C8—21no—
161C2×C83⋊C8—21no—
162C2×C83⋊C8C2×D412yes—
163C2×C83⋊C8#4112yes—
164C4⋊Dic83—21no—
165C4⋊Dic83—21no—
166C4⋊Dic83—21no—
167C4⋊Dic83—21no—
168C4⋊Dic83—42no—
169C4⋊Dic83C2×D412yes—
170C4⋊Dic83C2×Q812yes—
171Dic83⋊C4—42no—
172(C2×D83)⋊C4—24no—
173(C2×D83)⋊C4—42no—
174(C2×D83)⋊C4—42no—
175(C2×D83)⋊C4—81no—
176C4×Dic83—42no—
177C24×C83C2×D411yescharacteristic
178C2×Q8×C83—42no—
179C2×Q8×C83—42no—
180C2×Q8×C83—81no—
181C22×C4×C83—21no—
182C22×C4×C83—21no—
183C22×C4×C83—21no—
184C22×C4×C83—21no—
185C22×C4×C83—21no—
186C22×C4×C83—21no—
187C22×C4×C83—21no—
188C22×C4×C83—21no—
189C22×C4×C83—42no—
190C22×C4×C83—42no—
191C22×C4×C83—81no—
192C22×C4×C83C2×D411yescharacteristic
193C22×C4×C83C2×D411yescharacteristic
194C22×C4×C83C2×D411yescharacteristic
195C22×C4×C83C2×D411yescharacteristic
196C22×C4×C83C2×D411yescharacteristic
197C22×C4×C83C2×Q812yes—
198C22×C4×C83#4112yes—
199C22×C4×C83C2411yescharacteristic
200C4⋊C4×C83—21no—
201C4⋊C4×C83—21no—
202C4⋊C4×C83—21no—
203C4⋊C4×C83—21no—
204C4⋊C4×C83—21no—
205C4⋊C4×C83—21no—
206C4⋊C4×C83—21no—
207C4⋊C4×C83—42no—
208C4⋊C4×C83—42no—
209C4⋊C4×C83—42no—
210C4⋊C4×C83—42no—
211C4⋊C4×C83—42no—
212C4⋊C4×C83—81no—
213C4⋊C4×C83C2×D412yes—
214C22⋊C4×C83—22no—
215C22⋊C4×C83—42no—
216C22⋊C4×C83D814yes—
217C42×C83—21no—
218C42×C83—21no—
219C42×C83—21no—
220C42×C83—21no—
221C23×C83—21no—
222C23×C83—21no—
223C23×C83—21no—
224C23×C83—21no—
225C23×C83C22⋊Q812yes—
226C23×C83C2×D812yes—
227C23×C83#13712yes—
228C23×C83C22×D411yescharacteristic
229C22×D83—22no—
230C22×D83—41no—
231C22×D83—41no—
232C22×D83—41no—
233C22×D83—41no—
234C22×D83—41no—
235C22×D83—41no—
236Q8×C83—84no—
237C2×C4×C83—21no—
238C2×C4×C83—21no—
239C2×C4×C83—21no—
240C2×C4×C83—21no—
241C2×C4×C83—21no—
242C2×C4×C83—21no—
243C2×C4×C83—22no—
244C2×C4×C83—22no—
245C2×C4×C83—22no—
246C2×C4×C83—22no—
247C2×C4×C83—21no—
248C2×C4×C83—22no—
249C2×C4×C83—21no—
250C2×C4×C83—21no—
251C2×C4×C83—21no—
252C2×C4×C83—21no—
253C2×C4×C83—21no—
254C2×C4×C83—41no—
255C2×C4×C83—41no—
256C2×C4×C83—41no—
257C2×C4×C83—41no—
258C2×C4×C83—41no—
259C2×C4×C83—41no—
260C2×C4×C83—41no—
261C2×C4×C83—41no—
262C2×C4×C83—41no—
263C2×C4×C83—41no—
264C2×C4×C83—41no—
265C2×C4×C83—84no—
266C2×C4×C83C22⋊Q812yes—
267C2×C4×C83C2×D812yes—
268C2×C4×C83C2×D812yes—
269C2×C4×C83C22×D411yescharacteristic
270C2×C4×C83C22×Q811yescharacteristic
271C2×C4×C83C2×#4111yescharacteristic
272C2×C4×C83C2×#4111yescharacteristic
273C2×C4×C83H(5,𝔽2)11yescharacteristic
274C2×C4×C832−1+411yescharacteristic
275C22⋊D83—48no—
276C2×Dic83—22no—
277C2×Dic83—22no—
278C2×Dic83—41no—
279C2×Dic83—41no—
280C2×Dic83—41no—
281C2×Dic83—41no—
282C2×Dic83—41no—
283C2×Dic83—41no—
284C2×Dic83—41no—
285C2×Dic83—84no—
286D332—22no—
287D332—22no—
288D332—41no—
289D332—41no—
290C4×D83—84no—
291C83⋊C8—22no—
292C83⋊C8—22no—
293C83⋊C8—41no—
294C83⋊C8—41no—
295C22×C83—22no—
296C22×C83—22no—
297C22×C83—22no—
298C22×C83—22no—
299C22×C83—22no—
300C22×C83—22no—
301C22×C83#47414yescomplemented
302C22×C83C2×C22⋊Q811yescharacteristic
303C22×C83D4211yescharacteristic
304C22×C83#54711yescharacteristic
305C22×C83C22×D811yescharacteristic
306C22×C83C2×#13711yescharacteristic
307C22×C83#57611yescharacteristic
308C22×C83#57811yescharacteristic
309C2×D83—42no—
310C2×D83—42no—
311C2×D83—42no—
312C2×D83—81no—
313C2×D83—81no—
314C2×D83—81no—
315C2×D83—81no—
316C4×C83—22no—
317C4×C83—22no—
318C4×C83—22no—
319C4×C83—41no—
320C4×C83—41no—
321C4×C83—42no—
322C4×C83—81no—
323C4×C83—81no—
324C4×C83—81no—
325C4×C83#52511yescharacteristic
326C4×C83#53911yescharacteristic
327C4×C83D4×Q811yescharacteristic
328C4×C83#55411yescharacteristic
329Dic83—42no—
330Dic83—42no—
331Dic83—81no—
332#26336—831nomaximal, Sylow
333C2×C83—24no—
334C2×C83#244911yescharacteristic
335C2×C83C2×#47411yescharacteristic
336C2×C83#308311yescharacteristic
337C2×C83#327011yescharacteristic
338C2×C83D4×D811yescharacteristic
339C2×C83#333411yescharacteristic
340C2×C83#334611yescharacteristic
341D83—82no—
342C2×#474—831no—
343C22×#107—831no—
344#2440D8311yescharacteristic, complemented
345#2361—831no—
346#2093—831no—
347#2086—831no—
348#2067—831no—
349#2057—831no—
350#1947—831no—
351#1918—831no—
352#1893—831no—
353#1874—831no—
354#1862—831no—
355#1852—831no—
356#1850—831no—
357C83#2633611yescharacteristic, complemented, Sylow
358C23×C8—831no—
359C2×C4⋊Q8C2×D8311yescharacteristic
360C2×C22⋊Q8—21no—
361C2×#121—831no—
362C2×C4×D4—831no—
363C2×C4×D4—1661no—
364C22×C4⋊C4—831no—
365C22×C4⋊C4C2×D8311yescharacteristic
366#474—1664no—
367C2×#107—831no—
368C2×#107—831no—
369C2×#107—831no—
370C2×#107—831no—
371C2×#107—831no—
372C2×#107—831no—
373C2×#107—1664no—
374C2×C4⋊C8—831no—
375C2×C4⋊C8—831no—
376C2×#102—831no—
377C2×#102—831no—
378C2×#102—831no—
379C2×#102—831no—
380C2×C22⋊C8—831no—
381#398—21no—
382#395—21no—
383#390—831no—
384#389—831no—
385#389C2×D8311yescharacteristic
386#389C2×D8311yescharacteristic
387#388—1661no—
388#386—1661no—
389#385—21no—
390#385—1661no—
391#384C2×D8311yescharacteristic
392#380C2×D8311yescharacteristic
393C4×C4⋊C4—831no—
394C4×C22⋊C4C2×D8311yescharacteristic
395#340—831no—
396#340—831no—
397#340—831no—
398#340—831no—
399#340—831no—
400#340—831no—
401#336—831no—
402#336—831no—
403C22×Q8—21no—
404C22×D4—831no—
405C22×D4—1661no—
406C23×C4—21no—
407C23×C4—1661no—
408C23×C4—1661no—
409C23×C4C22×D8311yescharacteristic
410C22×C8—831no—
411C22×C8—831no—
412C22×C8—831no—
413C22×C8—831no—
414C22×C8—1662no—
415C22×C8—1662no—
416C22×C8—1662no—
417C4⋊Q8—22no—
418C4⋊Q8—41no—
419C22⋊Q8—44no—
420#121—834no—
421#121—1662no—
422C4×D4—3321no—
423C4×D4—3324no—
424C4×D4—1662no—
425C2×C4⋊C4—22no—
426C2×C4⋊C4—21no—
427C2×C4⋊C4—21no—
428C2×C4⋊C4—21no—
429C2×C4⋊C4—21no—
430C2×C4⋊C4—21no—
431C2×C4⋊C4—21no—
432C2×C4⋊C4—41no—
433C2×C4⋊C4—3321no—
434C2×C4⋊C4—831no—
435C2×C4⋊C4—831no—
436C2×C4⋊C4—831no—
437C2×C4⋊C4—1661no—
438C2×C4⋊C4—1661no—
439C2×C4⋊C4—1662no—
440C2×C4⋊C4C22×D8311yescharacteristic
441C2×C4⋊C4C22×D8311yescharacteristic
442C2×C4⋊C4C22×D8311yescharacteristic
443C2×C4⋊C4C22×D8311yescharacteristic
444C2×C22⋊C4—21no—
445C2×C22⋊C4—1661no—
446C2×C22⋊C4—1661no—
447C2×C22⋊C4—1661no—
448C2×C22⋊C4—1661no—
449C2×C22⋊C4C22⋊D8311yescharacteristic
450C2×C22⋊C4C22⋊D8311yescharacteristic
451C2×C42—1661no—
452C2×C42C22×D8311yescharacteristic
453C2×C42C22×D8311yescharacteristic
454#107—3321no—
455#107—834no—
456#107—1662no—
457#107—1662no—
458#107—1662no—
459#107—1662no—
460C4⋊C8—1662no—
461C4⋊C8—1662no—
462#102—3321no—
463#102—1662no—
464#102—1662no—
465#102—1662no—
466C22⋊C8—1662no—
467#95—21no—
468#95—21no—
469#95—21no—
470#95—1661no—
471#95—1661no—
472#95C22⋊D8311yescharacteristic
473#95C22⋊D8311yescharacteristic
474C24—1661no—
475C24C2×C22⋊D8311yescharacteristic
476C2×Q8—42no—
477C2×Q8—42no—
478C2×Q8—81no—
479C2×D4—3322no—
480C2×D4—3322no—
481C2×D4—832no—
482C2×D4—1664no—
483C2×D4—1661no—
484C2×D4—1661no—
485C2×D4—1661no—
486C2×D4—1661no—
487C2×D4—1661no—
488C22×C4—21no—
489C22×C4—21no—
490C22×C4—21no—
491C22×C4—21no—
492C22×C4—21no—
493C22×C4—21no—
494C22×C4—21no—
495C22×C4—21no—
496C22×C4—42no—
497C22×C4—42no—
498C22×C4—81no—
499C22×C4—3322no—
500C22×C4—3322no—
501C22×C4—3322no—
502C22×C4—3322no—
503C22×C4—6641no—
504C22×C4—6641no—
505C22×C4—1661no—
506C22×C4—1661no—
507C22×C4—1661no—
508C22×C4C2×C22⋊D8311yescharacteristic
509C22×C4C2×C22⋊D8311yescharacteristic
510C22×C4C2×C22⋊D8311yescharacteristic
511C22×C4C2×C22⋊D8311yescharacteristic
512C22×C4C2×C22⋊D8311yescharacteristic
513C22×C4Q8×D8312yes—
514C22×C4#1305059112yes—
515C22×C4C23×D8311yescharacteristic
516C2×C8—832no—
517C2×C8—832no—
518C2×C8—1661no—
519C2×C8—1661no—
520C2×C8—1661no—
521C2×C8—1661no—
522C2×C8—1661no—
523C2×C8—1661no—
524C2×C8—1668no—
525C2×C8—1661no—
526C2×C8—1661no—
527C2×C8—1661no—
528C2×C8—1661no—
529C4⋊C4—21no—
530C4⋊C4—21no—
531C4⋊C4—21no—
532C4⋊C4—21no—
533C4⋊C4—21no—
534C4⋊C4—21no—
535C4⋊C4—21no—
536C4⋊C4—42no—
537C4⋊C4—42no—
538C4⋊C4—42no—
539C4⋊C4—42no—
540C4⋊C4—42no—
541C4⋊C4—81no—
542C4⋊C4—3322no—
543C4⋊C4—3322no—
544C4⋊C4—832no—
545C4⋊C4—832no—
546C4⋊C4—1661no—
547C4⋊C4—1661no—
548C4⋊C4—1661no—
549C4⋊C4—1661no—
550C4⋊C4D4×D8312yes—
551C22⋊C4—22no—
552C22⋊C4—42no—
553C22⋊C4—3322no—
554C22⋊C4—3322no—
555C22⋊C4—6641no—
556C22⋊C4—1664no—
557C22⋊C4#1305057514yes—
558C42—21no—
559C42—21no—
560C42—21no—
561C42—21no—
562C42—3322no—
563C23—21no—
564C23—21no—
565C23—21no—
566C23—21no—
567C23—3321no—
568C23—3321no—
569C23—3321no—
570C23—3321no—
571C23—3321no—
572C23—3321no—
573C23—1662no—
574C23#1458176812yes—
575C23C2×#1305057512yes—
576C23#1458182312yes—
577C23C22×C22⋊D8311yescharacteristic
578Q8—84no—
579D4—3328no—
580D4—3321no—
581D4—3321no—
582D4—1662no—
583D4—1662no—
584C2×C4—21no—
585C2×C4—21no—
586C2×C4—21no—
587C2×C4—21no—
588C2×C4—21no—
589C2×C4—21no—
590C2×C4—22no—
591C2×C4—22no—
592C2×C4—22no—
593C2×C4—22no—
594C2×C4—21no—
595C2×C4—22no—
596C2×C4—21no—
597C2×C4—21no—
598C2×C4—21no—
599C2×C4—21no—
600C2×C4—21no—
601C2×C4—41no—
602C2×C4—41no—
603C2×C4—41no—
604C2×C4—41no—
605C2×C4—41no—
606C2×C4—41no—
607C2×C4—41no—
608C2×C4—41no—
609C2×C4—41no—
610C2×C4—41no—
611C2×C4—41no—
612C2×C4—84no—
613C2×C4—3321no—
614C2×C4—3321no—
615C2×C4—3321no—
616C2×C4—3321no—
617C2×C4—3321no—
618C2×C4—3321no—
619C2×C4—3321no—
620C2×C4—6644no—
621C2×C4—6644no—
622C2×C4—1662no—
623C2×C4—1662no—
624C2×C4#1458176812yes—
625C2×C4C2×#1305057512yes—
626C2×C4C2×#1305057512yes—
627C2×C4C2×D4×D8311yescharacteristic
628C2×C4C2×Q8×D8311yescharacteristic
629C2×C4#41×D8311yescharacteristic
630C2×C4C2×#1305059111yescharacteristic
631C2×C4#1458183711yescharacteristic
632C2×C4#1458183911yescharacteristic
633C8—3321no—
634C8—3321no—
635C8—1662no—
636C8—1662no—
637C22—22no—
638C22—22no—
639C22—22no—
640C22—22no—
641C22—22no—
642C22—22no—
643C22—3322no—
644C22—3322no—
645C22—3322no—
646C22—6641no—
647C22—6641no—
648C22—6641no—
649C22—6641no—
650C22#1912797814yescomplemented
651C22C2×#1458176811yescharacteristic
652C22D4×C22⋊D8311yescharacteristic
653C22#1912835011yescharacteristic
654C22C22×#1305057511yescharacteristic
655C22C2×#1458182311yescharacteristic
656C22#1912850411yescharacteristic
657C22#1912851611yescharacteristic
658C4—22no—
659C4—22no—
660C4—22no—
661C4—42no—
662C4—41no—
663C4—41no—
664C4—81no—
665C4—81no—
666C4—81no—
667C4—3322no—
668C4—3322no—
669C4—6641no—
670C4#1912821411yescharacteristic
671C4#1912830011yescharacteristic
672C4#1912836411yescharacteristic
673C4#1912840511yescharacteristic
674C2—24no—
675C2—6642no—
676C2#2491126811yescharacteristic
677C2C2×#1912797811yescharacteristic
678C2#2491731011yescharacteristic
679C2#2491903411yescharacteristic
680C2D4×#1305057511yescharacteristic
681C2#2491980611yescharacteristic
682C2#2491994211yescharacteristic
subgroupG/H
centerC23C22×C22⋊D83
commutator, cosocleC22×C4×C83C24
FrattiniC22×C4C23×D83
FittingC83×#2440C2
socleC23×C83C22×D4
prime radicalC2×#14581766C22
hypercenter#2440D83
hypocenterC83#26336
LCSG ▷ C22×C4×C83 ▷ C2×C83 ▷ C83
UCSC1 ◁ C23 ◁ C4×C22⋊C4 ◁ #2440

Complements

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

NH ≅ G/Ntype
1. C2×#19127978C2semidirect
2. C22×#14581725C2semidirect
4. #24908992C2semidirect
5. #24908954C2semidirect
6. #24908848C2semidirect
7. #24908788C2semidirect
8. #24908219C2semidirect
9. #24908031C2semidirect
12. #24907709C2semidirect
13. #24907650C2semidirect
14. #24907643C2semidirect
15. C83×#2440C2semidirect
73. #14581766Q8semidirect
94. #14581725D4semidirect
301. C22×C83#474semidirect
344. #2440D83semidirect
357. C83#26336semidirect
650. C22#19127978semidirect

Maximal subgroups

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

subgroupindex
C2×#191279782
C22×#145817252
#249104772
#249089922
#249089542
#249088482
#249087882
#249082192
#249080312
#249078892
#249077802
#249077092
#249076502
#249076432
C83×#24402
#2633683