Finite Group Databasebeta

← #35408594

Subgroups — #35408594

Order 21248.

860 conjugacy classes of subgroups.

The subgroup lattice has 680 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#19127760C211yesmaximal, characteristic, complemented
2C2×#19127756C211yesmaximal, characteristic, complemented
3#24909907C211yesmaximal, characteristic
4#24908260C211yesmaximal, characteristic
5#24908256C211yesmaximal, characteristic
6#24908184C211yesmaximal, characteristic, complemented
7#24908179C211yesmaximal, characteristic, complemented
8#24908074C211yesmaximal, characteristic, complemented
9#24908074C211yesmaximal, characteristic, complemented
10#24908067C211yesmaximal, characteristic, complemented
11#24908067C211yesmaximal, characteristic, complemented
12#24907232C211yesmaximal, characteristic, complemented
13C4×(C2×D83)⋊C8C211yesmaximal, characteristic, complemented
14#24907150C211yesmaximal, characteristic, complemented
15C83×#1768C211yesmaximal, characteristic, complemented
16C2×C4×D332C2211yescharacteristic
17C2×#14581749C2211yescharacteristic
18C2×C42×D83C2211yescharacteristic
19#19127760—24no—
20#19127756—24no—
21C2×Dic83⋊C8C2211yescharacteristic
22C2×Dic83⋊C8C2211yescharacteristic
23C2×Dic83⋊C8C2211yescharacteristic
24C2×Dic83⋊C8C2211yescharacteristic
25C2×(C2×D83)⋊C8C2211yescharacteristic
26C2×(C2×D83)⋊C8C2211yescharacteristic
27C2×(C2×D83)⋊C8C2211yescharacteristic
28C2×(C2×D83)⋊C8C2211yescharacteristic
29C2×(C2×D83)⋊C8C2211yescharacteristic
30C2×(C2×D83)⋊C8C2211yescharacteristic
31C2×(C2×D83)⋊C8C2211yescharacteristic
32C2×(C2×D83)⋊C8C2211yescharacteristic
33C2×#14581703C2211yescharacteristic
34C2×#14581703C2211yescharacteristic
35C2×#14581703C2211yescharacteristic
36C2×C4×C83⋊C8C2211yescharacteristic
37C2×C4×C83⋊C8C2211yescharacteristic
38C2×C4×C83⋊C8C2211yescharacteristic
39#19127593C411yescharacteristic
40#19127593C411yescharacteristic
41#19127586C411yescharacteristic
42#19127586C411yescharacteristic
43#19127579C411yescharacteristic
44#19127579C411yescharacteristic
45#19127575C411yescharacteristic
46#19127575C411yescharacteristic
47C4×C4⋊Dic83C2211yescharacteristic
48C4×(C2×D83)⋊C4C2211yescharacteristic
49C4×(C2×D83)⋊C4C2211yescharacteristic
50#19127455C2211yescharacteristic
51#19127455C2211yescharacteristic
52#19127455C2211yescharacteristic
53#19127455C2211yescharacteristic
54C2×C4⋊C8×C83C2211yescharacteristic
55C2×C4⋊C8×C83C2211yescharacteristic
56C2×#97×C83C2211yescharacteristic
57C2×C4×C8×C83C2211yescharacteristic
58#376×C83C2211yescharacteristic
59#336×C83C2211yescharacteristic
60#336×C83C2211yescharacteristic
61C22×D332C2×C411yescharacteristic
62C22×C4×D83C2×C411yescharacteristic
63C22×C4×D83C2×C411yescharacteristic
64C22×C4×D83C2311yescharacteristic
65C22×C4×D83C2311yescharacteristic
66C22×C83⋊C8C2311yescharacteristic
67C22×C83⋊C8C2311yescharacteristic
68C22×C83⋊C8C2311yescharacteristic
69C22×C83⋊C8C2311yescharacteristic
70C4×D332—22no—
71C4×D332—22no—
72#14581749—22no—
73#14581749—22no—
74C2×C4⋊Dic83C2×C411yescharacteristic
75C2×C4⋊Dic83C2×C411yescharacteristic
76C2×C4⋊Dic83C2×C411yescharacteristic
77C2×Dic83⋊C4C2×C411yescharacteristic
78C2×Dic83⋊C4C2×C411yescharacteristic
79C2×(C2×D83)⋊C4C2×C411yescharacteristic
80C2×(C2×D83)⋊C4C2×C411yescharacteristic
81C2×(C2×D83)⋊C4C2×C411yescharacteristic
82C2×(C2×D83)⋊C4C2×C411yescharacteristic
83C2×(C2×D83)⋊C4C2×C411yescharacteristic
84C2×(C2×D83)⋊C4C2×C411yescharacteristic
85C2×(C2×D83)⋊C4C2×C411yescharacteristic
86C2×(C2×D83)⋊C4C2×C411yescharacteristic
87C2×C4×Dic83C2×C411yescharacteristic
88C2×C4×Dic83C2×C411yescharacteristic
89C2×C4×Dic83C2311yescharacteristic
90C2×C4×Dic83C2311yescharacteristic
91C42×D83—22no—
92C42×D83—22no—
93Dic83⋊C8—22no—
94Dic83⋊C8—22no—
95Dic83⋊C8—22no—
96Dic83⋊C8—22no—
97(C2×D83)⋊C8—22no—
98(C2×D83)⋊C8—22no—
99(C2×D83)⋊C8—22no—
100(C2×D83)⋊C8—22no—
101(C2×D83)⋊C8—22no—
102(C2×D83)⋊C8—22no—
103(C2×D83)⋊C8—22no—
104(C2×D83)⋊C8—22no—
105#14581703—22no—
106#14581703—22no—
107#14581703D414yescomplemented
108C4×C83⋊C8—22no—
109C4×C83⋊C8—22no—
110C4×C83⋊C8—22no—
111C83⋊#95C2×C411yescharacteristic
112C83⋊#95C2×C411yescharacteristic
113C83⋊#95C2×C411yescharacteristic
114C83⋊#95C2×C411yescharacteristic
115C83⋊#95C2×C411yescharacteristic
116C83⋊#95C2×C411yescharacteristic
117C22×C8×C83C2311yescharacteristic
118C22×C8×C83C2311yescharacteristic
119C22×C8×C83C2311yescharacteristic
120C22×C8×C83C2311yescharacteristic
121C2×C42×C83C2311yescharacteristic
122C2×C42×C83C2311yescharacteristic
123C2×C42×C83C2311yescharacteristic
124C4⋊C8×C83—22no—
125C4⋊C8×C83—22no—
126#97×C83—22no—
127C4×C8×C83—22no—
128#95×C83C2×C411yescharacteristic
129#95×C83C2×C411yescharacteristic
130#95×C83C2×C411yescharacteristic
131#95×C83C2×C411yescharacteristic
132C23×D83C22×C411yescharacteristic
133C23×D83C22×C411yescharacteristic
134C2×D332—22no—
135C2×D332—22no—
136C2×D332—41no—
137C22×Dic83C22×C411yescharacteristic
138C22×Dic83C22×C411yescharacteristic
139C22×Dic83C22×C411yescharacteristic
140C22×Dic83C22×C411yescharacteristic
141C22×Dic83C22×C411yescharacteristic
142C22×Dic83C22×C411yescharacteristic
143C2×C4×D83—22no—
144C2×C4×D83—22no—
145C2×C4×D83—22no—
146C2×C4×D83—21no—
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—21no—
156C2×C4×D83—21no—
157C2×C4×D83—21no—
158C2×C4×D83—22no—
159C2×C4×D83—41no—
160C2×C4×D83—41no—
161C2×C83⋊C8—21no—
162C2×C83⋊C8—21no—
163C2×C83⋊C8—21no—
164C2×C83⋊C8—21no—
165C2×C83⋊C8—21no—
166C2×C83⋊C8—21no—
167C2×C83⋊C8—21no—
168C2×C83⋊C8—21no—
169C2×C83⋊C8C2×D412yes—
170C2×C83⋊C8C2×D412yes—
171C2×C83⋊C8#4112yes—
172C2×C83⋊C8#4112yes—
173C4⋊Dic83—22no—
174C4⋊Dic83—22no—
175C4⋊Dic83—41no—
176Dic83⋊C4—22no—
177Dic83⋊C4—22no—
178(C2×D83)⋊C4—22no—
179(C2×D83)⋊C4—22no—
180(C2×D83)⋊C4—22no—
181(C2×D83)⋊C4—22no—
182(C2×D83)⋊C4—22no—
183(C2×D83)⋊C4—22no—
184(C2×D83)⋊C4—41no—
185(C2×D83)⋊C4—41no—
186C4×Dic83—22no—
187C4×Dic83—22no—
188C4×Dic83—21no—
189C4×Dic83—21no—
190C4×Dic83—21no—
191C4×Dic83—21no—
192C22×C4×C83C22×C411yescharacteristic
193C22×C4×C83C22×C411yescharacteristic
194C22×C4×C83C22×C411yescharacteristic
195C22×C4×C83C22×C411yescharacteristic
196C22×C4×C83C22×C411yescharacteristic
197C22×C4×C83C22×C411yescharacteristic
198C22×C4×C83C2411yescharacteristic
199C2×C8×C83—21no—
200C2×C8×C83—21no—
201C2×C8×C83—21no—
202C2×C8×C83—21no—
203C2×C8×C83—21no—
204C2×C8×C83—21no—
205C2×C8×C83—21no—
206C2×C8×C83—21no—
207C2×C8×C83—21no—
208C2×C8×C83—21no—
209C2×C8×C83—21no—
210C2×C8×C83—21no—
211C42×C83—21no—
212C42×C83—21no—
213C42×C83C2×D412yes—
214C42×C83#4112yes—
215C42×C83#4112yes—
216C42×C83#4112yes—
217C23×C83C23×C411yescharacteristic
218C22×D83—21no—
219C22×D83—21no—
220C22×D83—21no—
221C22×D83—21no—
222C22×D83—21no—
223C22×D83—21no—
224C22×D83—21no—
225C22×D83—21no—
226C22×D83—21no—
227C22×D83—21no—
228C22×D83—21no—
229C22×D83—21no—
230C22×D83—21no—
231C22×D83#13112yes—
232C2×C4×C83—21no—
233C2×C4×C83—21no—
234C2×C4×C83—21no—
235C2×C4×C83—21no—
236C2×C4×C83—21no—
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—21no—
244C2×C4×C83—21no—
245C2×C4×C83—21no—
246C2×C4×C83#11712yes—
247C2×C4×C83#11712yes—
248C2×C4×C83C4×D412yes—
249C2×C4×C83C4×D412yes—
250C2×C4×C83C22×D411yescharacteristic
251C2×C4×C83C2×#4111yescharacteristic
252C2×C4×C83C2×#4111yescharacteristic
253C2×C4×C83C2×#4111yescharacteristic
254C2×C4×C83C2×#4111yescharacteristic
255C2×C4×C83C2×#4111yescharacteristic
256C2×Dic83—21no—
257C2×Dic83—21no—
258C2×Dic83—21no—
259C2×Dic83—21no—
260C2×Dic83—21no—
261C2×Dic83—21no—
262C2×Dic83—21no—
263C2×Dic83—21no—
264C2×Dic83—21no—
265C2×Dic83—21no—
266C2×Dic83—21no—
267C2×Dic83—21no—
268C2×Dic83—21no—
269C2×Dic83—21no—
270C2×Dic83—21no—
271C2×Dic83—21no—
272C2×Dic83—21no—
273C2×Dic83#13112yes—
274D332—44no—
275C4×D83—44no—
276C4×D83—44no—
277C4×D83—41no—
278C4×D83—41no—
279C4×D83—41no—
280C4×D83—41no—
281C4×D83—41no—
282C4×D83—41no—
283C4×D83—41no—
284C4×D83—41no—
285C8×C83—41no—
286C8×C83—41no—
287C8×C83—41no—
288C8×C83—41no—
289C83⋊C8—22no—
290C83⋊C8—22no—
291C83⋊C8—22no—
292C83⋊C8—22no—
293C22×C83C2×#11711yescharacteristic
294C22×C83C2×C4×D411yescharacteristic
295C22×C83C4×#4111yescharacteristic
296C22×C83C2×#13111yescharacteristic
297C22×C83C2×#13111yescharacteristic
298C22×C83#56811yescharacteristic
299C22×C83#56811yescharacteristic
300C2×D83—22no—
301C2×D83—22no—
302C2×D83—22no—
303C2×D83—41no—
304C2×D83—41no—
305C2×D83—41no—
306C2×D83—41no—
307C2×D83—41no—
308C2×D83—41no—
309C2×D83—41no—
310C2×D83—41no—
311C2×D83—41no—
312C2×D83—41no—
313C2×D83—41no—
314C4×C83—22no—
315C4×C83—22no—
316C4×C83—22no—
317C4×C83—22no—
318C4×C83—41no—
319C4×C83—41no—
320C4×C83#52911yescharacteristic
321C4×C83#52911yescharacteristic
322C4×C83#53211yescharacteristic
323C4×C83#53211yescharacteristic
324Dic83—22no—
325Dic83—41no—
326Dic83—41no—
327Dic83—41no—
328Dic83—41no—
329Dic83—41no—
330#21273—831nomaximal, Sylow
331C2×C83#229311yescharacteristic
332C2×C83#292411yescharacteristic
333C2×C83#292511yescharacteristic
334C2×C83#293311yescharacteristic
335C2×C83#293311yescharacteristic
336C2×C83#296611yescharacteristic
337C2×C83#296711yescharacteristic
338D83—42no—
339D83—81no—
340C2×#433—831no—
341C2×#432—831no—
342#2290—831no—
343#1955—831no—
344#1954—831no—
345#1940—831no—
346#1939—831no—
347#1924—831no—
348#1924—831no—
349#1923—831no—
350#1923—831no—
351#1768D8311yescharacteristic, complemented
352#1750—831no—
353C4×C22⋊C8—831no—
354#1726—831no—
355C83#2127311yescharacteristic, complemented, Sylow
356C2×C4×D4—831no—
357C2×#117—831no—
358C22×C42—831no—
359#433—1664no—
360#432—1664no—
361C2×C4⋊C8—831no—
362C2×C4⋊C8—831no—
363C2×C4⋊C8—831no—
364C2×C4⋊C8—831no—
365C2×C4⋊C8C2×D8311yescharacteristic
366C2×C4⋊C8C2×D8311yescharacteristic
367C2×C22⋊C8—831no—
368C2×C22⋊C8—831no—
369C2×C22⋊C8—831no—
370C2×C22⋊C8—831no—
371C2×C22⋊C8—831no—
372C2×C22⋊C8—831no—
373C2×C22⋊C8—831no—
374C2×C22⋊C8—831no—
375C2×#97—831no—
376C2×#97—831no—
377C2×#97—831no—
378C2×#97C2×D8311yescharacteristic
379C2×C4×C8—831no—
380C2×C4×C8—831no—
381C2×C4×C8—831no—
382C2×C4×C8C2×D8311yescharacteristic
383#388—831no—
384#388—831no—
385#387—831no—
386#387—831no—
387#386—831no—
388#386—831no—
389#385—831no—
390#385—831no—
391C4×C4⋊C4—831no—
392C4×C22⋊C4—831no—
393C4×C22⋊C4—831no—
394#376C2×D8311yescharacteristic
395#336—831no—
396#336—831no—
397#336—831no—
398#336—831no—
399#336C2×D8311yescharacteristic
400#336C2×D8311yescharacteristic
401C22×D4—831no—
402C23×C4—831no—
403C23×C4—831no—
404C23×C4—831no—
405C23×C4—831no—
406C22×C8—831no—
407C22×C8—831no—
408C22×C8—831no—
409C22×C8—831no—
410C22×C8C22×D8311yescharacteristic
411C22×C8C22×D8311yescharacteristic
412C22×C8C22×D8311yescharacteristic
413C22×C8C22×D8311yescharacteristic
414C4×D4—1662no—
415C4×D4—1662no—
416#117—1662no—
417#117—1662no—
418C2×C4⋊C4—831no—
419C2×C4⋊C4—831no—
420C2×C4⋊C4—831no—
421C2×C4⋊C4—831no—
422C2×C4⋊C4—831no—
423C2×C22⋊C4—831no—
424C2×C22⋊C4—831no—
425C2×C22⋊C4—831no—
426C2×C22⋊C4—831no—
427C2×C22⋊C4—831no—
428C2×C22⋊C4—831no—
429C2×C22⋊C4—831no—
430C2×C22⋊C4—831no—
431C2×C42—831no—
432C2×C42—831no—
433C2×C42—831no—
434C2×C42—831no—
435C2×C42—1662no—
436C2×C42—1662no—
437C2×C42C22×D8311yescharacteristic
438C2×C42C22×D8311yescharacteristic
439C2×C42C22×D8311yescharacteristic
440C4⋊C8—22no—
441C4⋊C8—22no—
442C4⋊C8—1662no—
443C4⋊C8—1662no—
444C4⋊C8—1662no—
445C4⋊C8—1662no—
446C22⋊C8—1662no—
447C22⋊C8—1662no—
448C22⋊C8—1662no—
449C22⋊C8—1662no—
450C22⋊C8—1662no—
451C22⋊C8—1662no—
452C22⋊C8—1662no—
453C22⋊C8—1662no—
454#97—22no—
455#97—834no—
456#97—1662no—
457#97—1662no—
458C4×C8—22no—
459C4×C8—1662no—
460C4×C8—1662no—
461C4×C8—1662no—
462#95—831no—
463#95—831no—
464#95—831no—
465#95—831no—
466#95—831no—
467#95—831no—
468#95C4×D8311yescharacteristic
469#95C4×D8311yescharacteristic
470#95C4×D8311yescharacteristic
471#95C4×D8311yescharacteristic
472C24—831no—
473C24—831no—
474C2×D4—3321no—
475C2×D4—1662no—
476C2×D4—1662no—
477C22×C4—3321no—
478C22×C4—3321no—
479C22×C4—831no—
480C22×C4—831no—
481C22×C4—831no—
482C22×C4—831no—
483C22×C4—831no—
484C22×C4—831no—
485C22×C4—1662no—
486C22×C4—1662no—
487C22×C4—1661no—
488C22×C4—1661no—
489C22×C4—1661no—
490C22×C4—1661no—
491C22×C4—1661no—
492C22×C4—1661no—
493C22×C4—1661no—
494C22×C4—1661no—
495C22×C4—1661no—
496C22×C4—1661no—
497C22×C4—1661no—
498C22×C4—1661no—
499C22×C4—1662no—
500C22×C4—1662no—
501C22×C4C2×C4×D8311yescharacteristic
502C22×C4C2×C4×D8311yescharacteristic
503C22×C4C2×C4×D8311yescharacteristic
504C22×C4C2×C4×D8311yescharacteristic
505C22×C4C2×C4×D8311yescharacteristic
506C22×C4C2×C4×D8311yescharacteristic
507C22×C4C23×D8311yescharacteristic
508C2×C8—21no—
509C2×C8—21no—
510C2×C8—21no—
511C2×C8—21no—
512C2×C8—21no—
513C2×C8—21no—
514C2×C8—21no—
515C2×C8—21no—
516C2×C8—21no—
517C2×C8—21no—
518C2×C8—21no—
519C2×C8—21no—
520C2×C8—832no—
521C2×C8—832no—
522C2×C8—832no—
523C2×C8—832no—
524C2×C8—1661no—
525C2×C8—1661no—
526C2×C8—1661no—
527C2×C8—1661no—
528C2×C8—1661no—
529C2×C8—1661no—
530C2×C8—1661no—
531C2×C8—1661no—
532C4⋊C4—3321no—
533C4⋊C4—1662no—
534C4⋊C4—1662no—
535C4⋊C4—1662no—
536C4⋊C4—1662no—
537C22⋊C4—3321no—
538C22⋊C4—3321no—
539C22⋊C4—1662no—
540C22⋊C4—1662no—
541C22⋊C4—1662no—
542C22⋊C4—1662no—
543C22⋊C4—1662no—
544C22⋊C4—1662no—
545C42—21no—
546C42—21no—
547C42—1661no—
548C42—1661no—
549C42—1661no—
550C42—1661no—
551C42—1662no—
552C42—1662no—
553C42D4×D8312yes—
554C42#1305059012yes—
555C42#1305059012yes—
556C42#1305059112yes—
557C23—832no—
558C23—1661no—
559C23—1661no—
560C23—1661no—
561C23—1661no—
562C23—1661no—
563C23—1661no—
564C23—1661no—
565C23—1661no—
566C23—1661no—
567C23—1661no—
568C23—1661no—
569C23—1661no—
570C23—1661no—
571C23C22×C4×D8311yescharacteristic
572D4—3324no—
573C2×C4—21no—
574C2×C4—21no—
575C2×C4—21no—
576C2×C4—21no—
577C2×C4—21no—
578C2×C4—21no—
579C2×C4—21no—
580C2×C4—21no—
581C2×C4—21no—
582C2×C4—21no—
583C2×C4—21no—
584C2×C4—21no—
585C2×C4—21no—
586C2×C4—21no—
587C2×C4—3324no—
588C2×C4—3324no—
589C2×C4—3321no—
590C2×C4—3321no—
591C2×C4—3321no—
592C2×C4—3321no—
593C2×C4—3321no—
594C2×C4—3321no—
595C2×C4—3321no—
596C2×C4—3321no—
597C2×C4—832no—
598C2×C4—1661no—
599C2×C4—1661no—
600C2×C4—1661no—
601C2×C4—1661no—
602C2×C4—1661no—
603C2×C4—1661no—
604C2×C4—1661no—
605C2×C4—1661no—
606C2×C4—1661no—
607C2×C4—1661no—
608C2×C4—1661no—
609C2×C4—1661no—
610C2×C4—1661no—
611C2×C4—1661no—
612C2×C4—1661no—
613C2×C4—1661no—
614C2×C4—1661no—
615C2×C4#1458174912yes—
616C2×C4#1458174912yes—
617C2×C4#1458175412yes—
618C2×C4#1458175412yes—
619C2×C4C2×D4×D8311yescharacteristic
620C2×C4#41×D8311yescharacteristic
621C2×C4#41×D8311yescharacteristic
622C2×C4C2×#1305059011yescharacteristic
623C2×C4C2×#1305059011yescharacteristic
624C2×C4C2×#1305059111yescharacteristic
625C8—41no—
626C8—41no—
627C8—41no—
628C8—41no—
629C8—1662no—
630C8—1662no—
631C8—1662no—
632C8—1662no—
633C22—3321no—
634C22—3321no—
635C22—3321no—
636C22—3321no—
637C22—3321no—
638C22—3321no—
639C22—3321no—
640C22—3321no—
641C22—3321no—
642C22—3321no—
643C22—3321no—
644C22—1662no—
645C22—1662no—
646C22—1662no—
647C22C2×#1458174911yescharacteristic
648C22C2×#1458175411yescharacteristic
649C22#1912816911yescharacteristic
650C22#131×D8311yescharacteristic
651C22#131×D8311yescharacteristic
652C22#1912846611yescharacteristic
653C22#1912846611yescharacteristic
654C4—22no—
655C4—22no—
656C4—22no—
657C4—22no—
658C4—41no—
659C4—41no—
660C4—3321no—
661C4—3321no—
662C4—3321no—
663C4—3321no—
664C4—3321no—
665C4—1662no—
666C4#1912823811yescharacteristic
667C4#1912823811yescharacteristic
668C4#1912824811yescharacteristic
669C4#1912824811yescharacteristic
670C2—3322no—
671C2—6641no—
672C2#2490992411yescharacteristic
673C2#2491611811yescharacteristic
674C2#2491612711yescharacteristic
675C2#2491618711yescharacteristic
676C2#2491618711yescharacteristic
677C2#2491643611yescharacteristic
678C2#2491644611yescharacteristic
subgroupG/H
center, FrattiniC22×C4C23×D83
commutator, socleC23×C83C23×C4
FittingC83×#1768C2
prime radicalC22×D332C2×C4
cosocleC22×C4×C83C24
hypercenter#1768D83
hypocenterC83#21273
LCSG ▷ C23×C83 ▷ C83
UCSC1 ◁ C22×C4 ◁ #1768

Complements

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

NH ≅ G/Ntype
1. C2×#19127760C2semidirect
2. C2×#19127756C2semidirect
6. #24908184C2semidirect
7. #24908179C2semidirect
8. #24908074C2semidirect
9. #24908074C2semidirect
10. #24908067C2semidirect
11. #24908067C2semidirect
12. #24907232C2semidirect
13. C4×(C2×D83)⋊C8C2semidirect
14. #24907150C2semidirect
15. C83×#1768C2semidirect
107. #14581703D4semidirect
351. #1768D83semidirect
355. C83#21273semidirect

Maximal subgroups

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

subgroupindex
C2×#191277602
C2×#191277562
#249099072
#249082602
#249082562
#249081842
#249081792
#249080742
#249080672
#249072322
C4×(C2×D83)⋊C82
#249071502
C83×#17682
#2127383