Finite Group Databasebeta

← #35425299

Subgroups — #35425299

Order 21248.

860 conjugacy classes of subgroups.

The subgroup lattice has 674 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#19127766C211yesmaximal, characteristic
2C2×#19127760C211yesmaximal, characteristic, complemented
3#24910726C211yesmaximal, characteristic
4#24908178C211yesmaximal, characteristic, complemented
5#24908074C211yesmaximal, characteristic, complemented
6#24908074C211yesmaximal, characteristic, complemented
7#24908018C211yesmaximal, characteristic, complemented
8#24907759C211yesmaximal, characteristic
9#24907642C211yesmaximal, characteristic, complemented
10#24907642C211yesmaximal, characteristic, complemented
11#24907338C211yesmaximal, characteristic, complemented
12#24907245C211yesmaximal, characteristic, complemented
13C8×(C2×D83)⋊C4C211yesmaximal, characteristic, complemented
14#24907158C211yesmaximal, characteristic, complemented
15C83×#1916C211yesmaximal, characteristic, complemented
16C22×#13050573C2211yescharacteristic
17C22×C8×D83C2211yescharacteristic
18C22×C8×D83C2211yescharacteristic
19C2×C4×D332C2211yescharacteristic
20C2×#14581749C2211yescharacteristic
21#19127766—24no—
22#19127760—24no—
23C2×C4⋊(C83⋊C8)C2211yescharacteristic
24C2×Dic83⋊C8C2211yescharacteristic
25C2×Dic83⋊C8C2211yescharacteristic
26C2×Dic83⋊C8C2211yescharacteristic
27C2×(C2×D83)⋊C8C2211yescharacteristic
28C2×(C2×D83)⋊C8C2211yescharacteristic
29C2×(C2×D83)⋊C8C2211yescharacteristic
30C2×(C2×D83)⋊C8C2211yescharacteristic
31C2×(C2×D83)⋊C8C2211yescharacteristic
32C2×#14581703C2211yescharacteristic
33C2×#14581703C2211yescharacteristic
34C2×C4×C83⋊C8C2211yescharacteristic
35C2×C8×Dic83C2211yescharacteristic
36#19127643C411yescharacteristic
37#19127636C411yescharacteristic
38#19127634C411yescharacteristic
39#19127630C411yescharacteristic
40#19127630C411yescharacteristic
41#19127627C411yescharacteristic
42#19127619C411yescharacteristic
43#19127618C411yescharacteristic
44C4×Dic83⋊C4C2211yescharacteristic
45C4×(C2×D83)⋊C4C2211yescharacteristic
46C4×(C2×D83)⋊C4C2211yescharacteristic
47C4×(C2×D83)⋊C4C2211yescharacteristic
48#19127456C2211yescharacteristic
49#19127456C2211yescharacteristic
50#19127455C2211yescharacteristic
51#19127455C2211yescharacteristic
52#19127455C2211yescharacteristic
53#19127455C2211yescharacteristic
54C2×C4⋊C8×C83C2211yescharacteristic
55C2×C4×C8×C83C2211yescharacteristic
56C4×C4⋊C4×C83C2211yescharacteristic
57#336×C83C2211yescharacteristic
58#336×C83C2211yescharacteristic
59#336×C83C2211yescharacteristic
60#336×C83C2211yescharacteristic
61C22×D332C2×C411yescharacteristic
62C22×C4×D83C2311yescharacteristic
63C22×C4×D83C2311yescharacteristic
64C2×#13050573—22no—
65C2×#13050573—22no—
66C2×#13050573—41no—
67C22×C83⋊C8C2311yescharacteristic
68C22×C83⋊C8C2311yescharacteristic
69C22×C83⋊C8C2311yescharacteristic
70C22×C83⋊C8C2311yescharacteristic
71C2×C8×D83—22no—
72C2×C8×D83—22no—
73C2×C8×D83—22no—
74C2×C8×D83—22no—
75C2×C8×D83—41no—
76C2×C8×D83—41no—
77C4×D332—22no—
78C4×D332—22no—
79#14581749—22no—
80#14581749—22no—
81C2×C4⋊Dic83C2×C411yescharacteristic
82C2×Dic83⋊C4C2×C411yescharacteristic
83C2×Dic83⋊C4C2×C411yescharacteristic
84C2×Dic83⋊C4C2×C411yescharacteristic
85C2×Dic83⋊C4C2×C411yescharacteristic
86C2×(C2×D83)⋊C4C2×C411yescharacteristic
87C2×(C2×D83)⋊C4C2×C411yescharacteristic
88C2×(C2×D83)⋊C4C2×C411yescharacteristic
89C2×(C2×D83)⋊C4C2×C411yescharacteristic
90C2×(C2×D83)⋊C4C2×C411yescharacteristic
91C2×(C2×D83)⋊C4C2×C411yescharacteristic
92C2×(C2×D83)⋊C4C2×C411yescharacteristic
93C2×(C2×D83)⋊C4C2×C411yescharacteristic
94C2×(C2×D83)⋊C4C2×C411yescharacteristic
95C2×(C2×D83)⋊C4C2×C411yescharacteristic
96C2×C4×Dic83C2311yescharacteristic
97C2×C4×Dic83C2311yescharacteristic
98C4⋊(C83⋊C8)—22no—
99Dic83⋊C8—22no—
100Dic83⋊C8—22no—
101Dic83⋊C8—41no—
102(C2×D83)⋊C8—22no—
103(C2×D83)⋊C8—22no—
104(C2×D83)⋊C8—22no—
105(C2×D83)⋊C8—41no—
106(C2×D83)⋊C8D414yes—
107#14581703—22no—
108#14581703—22no—
109C4×C83⋊C8—22no—
110C8×Dic83—41no—
111C83⋊#95C2×C411yescharacteristic
112C83⋊#95C2×C411yescharacteristic
113C83⋊#95C2×C411yescharacteristic
114C83⋊#95C2×C411yescharacteristic
115C83⋊#95C2×C411yescharacteristic
116C83⋊#95C2×C411yescharacteristic
117C83⋊#95C2×C411yescharacteristic
118C83⋊#95C2×C411yescharacteristic
119C22×C8×C83C2311yescharacteristic
120C22×C8×C83C2311yescharacteristic
121C22×C8×C83C2311yescharacteristic
122C22×C8×C83C2311yescharacteristic
123C2×C4⋊C4×C83C2×C411yescharacteristic
124C2×C4⋊C4×C83C2×C411yescharacteristic
125C2×C42×C83C2311yescharacteristic
126C2×C42×C83C2311yescharacteristic
127C2×C42×C83C2311yescharacteristic
128C4⋊C8×C83—22no—
129C4×C8×C83—22no—
130#95×C83C2×C411yescharacteristic
131#95×C83C2×C411yescharacteristic
132C23×D83C22×C411yescharacteristic
133C23×D83C22×C411yescharacteristic
134C2×D332—22no—
135C2×D332—22no—
136C2×D332—22no—
137C22×Dic83C22×C411yescharacteristic
138C22×Dic83C22×C411yescharacteristic
139C22×Dic83C22×C411yescharacteristic
140C22×Dic83C22×C411yescharacteristic
141C22×Dic83C22×C411yescharacteristic
142C22×Dic83C22×C411yescharacteristic
143C2×C4×D83—21no—
144C2×C4×D83—21no—
145C2×C4×D83—21no—
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×D83C2×D412yes—
154C2×C4×D83#4112yes—
155#13050573—44no—
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⋊C8—21no—
163C2×C83⋊C8—21no—
164C2×C83⋊C8—21no—
165C2×C83⋊C8C2×D412yes—
166C2×C83⋊C8#4112yes—
167C2×C83⋊C8#4112yes—
168C8×D83—44no—
169C8×D83—44no—
170C4⋊Dic83—22no—
171Dic83⋊C4—22no—
172Dic83⋊C4—22no—
173Dic83⋊C4—22no—
174Dic83⋊C4—22no—
175(C2×D83)⋊C4—22no—
176(C2×D83)⋊C4—22no—
177(C2×D83)⋊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—41no—
184(C2×D83)⋊C4—41no—
185C4×Dic83—21no—
186C4×Dic83—21no—
187C4×Dic83—21no—
188C4×Dic83—21no—
189C22×C4×C83C22×C411yescharacteristic
190C22×C4×C83C22×C411yescharacteristic
191C22×C4×C83C22×C411yescharacteristic
192C22×C4×C83C22×C411yescharacteristic
193C22×C4×C83C22×C411yescharacteristic
194C22×C4×C83C22×C411yescharacteristic
195C22×C4×C83C2411yescharacteristic
196C2×C8×C83—21no—
197C2×C8×C83—21no—
198C2×C8×C83—21no—
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×C83C2×D412yes—
208C4⋊C4×C83—22no—
209C4⋊C4×C83—41no—
210C42×C83—21no—
211C42×C83—21no—
212C42×C83—21no—
213C42×C83—21no—
214C42×C83—21no—
215C42×C83—21no—
216C23×C83C23×C411yescharacteristic
217C22×D83—21no—
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×D83C4×D412yes—
230C22×D83#13112yes—
231C2×C4×C83—21no—
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—21no—
247C2×C4×C83—21no—
248C2×C4×C83#13112yes—
249C2×C4×C83C22×D411yescharacteristic
250C2×C4×C83C2×#4111yescharacteristic
251C2×C4×C83C2×#4111yescharacteristic
252C2×C4×C83C2×#4111yescharacteristic
253C2×C4×C83H(5,𝔽2)11yescharacteristic
254C2×C4×C832−1+411yescharacteristic
255C2×Dic83—21no—
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×Dic83C4×D412yes—
272C2×Dic83#13112yes—
273D332—28no—
274C4×D83—22no—
275C4×D83—22no—
276C4×D83—22no—
277C4×D83—22no—
278C4×D83—41no—
279C4×D83—41no—
280C4×D83—41no—
281C4×D83—41no—
282C8×C83—22no—
283C8×C83—41no—
284C8×C83—41no—
285C8×C83—41no—
286C83⋊C8—22no—
287C83⋊C8—22no—
288C83⋊C8—22no—
289C83⋊C8—41no—
290C22×C83C2×C4×D411yescharacteristic
291C22×C83C4×#4111yescharacteristic
292C22×C83#52011yescharacteristic
293C22×C83C2×#13111yescharacteristic
294C22×C83C2×#13111yescharacteristic
295C22×C83C2×#13111yescharacteristic
296C22×C83#56811yescharacteristic
297C2×D83—22no—
298C2×D83—22no—
299C2×D83—22no—
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—
311C4×C83—22no—
312C4×C83—41no—
313C4×C83—41no—
314C4×C83—41no—
315C4×C83—41no—
316C4×C83—41no—
317C4×C83#54611yescharacteristic
318C4×C83#54711yescharacteristic
319C4×C83#55111yescharacteristic
320C4×C83#55211yescharacteristic
321Dic83—22no—
322Dic83—22no—
323Dic83—41no—
324Dic83—41no—
325Dic83—41no—
326Dic83—41no—
327#22901—831nomaximal, Sylow
328C2×C83#235911yescharacteristic
329C2×C83#292911yescharacteristic
330C2×C83#293511yescharacteristic
331C2×C83#296611yescharacteristic
332C2×C83#296911yescharacteristic
333C2×C83#299211yescharacteristic
334C2×C83#299411yescharacteristic
335D83—42no—
336D83—42no—
337C2×C8×D4—831no—
338C2×#433—831no—
339#2395—831no—
340#1939—831no—
341#1924—831no—
342#1924—831no—
343#1916—831no—
344#1916D8311yescharacteristic, complemented
345#1870—831no—
346#1850—831no—
347#1850—831no—
348#1771—831no—
349#1753—831no—
350C8×C22⋊C4—831no—
351#1729—831no—
352C83#2290111yescharacteristic, complemented, Sylow
353C22×M16—831no—
354C23×C8—831no—
355C23×C8—831no—
356C2×C4×D4—831no—
357C2×#117—831no—
358C8×D4—1664no—
359#433—1664no—
360C2×C4⋊C8—831no—
361C2×C4⋊C8—831no—
362C2×C4⋊C8—831no—
363C2×C4⋊C8—831no—
364C2×C4⋊C8C2×D8311yescharacteristic
365C2×C22⋊C8—831no—
366C2×C22⋊C8—831no—
367C2×C22⋊C8—831no—
368C2×C22⋊C8—831no—
369C2×C22⋊C8—831no—
370C2×#97—831no—
371C2×#97—831no—
372C2×C4×C8—831no—
373C2×C4×C8—831no—
374C2×C4×C8C2×D8311yescharacteristic
375#400—831no—
376#399—831no—
377#398—831no—
378#397—831no—
379#397—831no—
380#397—831no—
381#394—831no—
382#394—831no—
383C4×C4⋊C4—831no—
384C4×C4⋊C4C2×D8311yescharacteristic
385C4×C22⋊C4—831no—
386C4×C22⋊C4—831no—
387C4×C22⋊C4—831no—
388#336—831no—
389#336—831no—
390#336—831no—
391#336—831no—
392#336—831no—
393#336—831no—
394#336C2×D8311yescharacteristic
395#336C2×D8311yescharacteristic
396#336C2×D8311yescharacteristic
397#336C2×D8311yescharacteristic
398C22×D4—831no—
399C23×C4—831no—
400C23×C4—831no—
401C2×M16—3321no—
402C2×M16—1662no—
403C2×M16—1662no—
404C22×C8—3321no—
405C22×C8—3321no—
406C22×C8—831no—
407C22×C8—831no—
408C22×C8—831no—
409C22×C8—831no—
410C22×C8—1662no—
411C22×C8—1662no—
412C22×C8—1662no—
413C22×C8—1662no—
414C22×C8C22×D8311yescharacteristic
415C22×C8C22×D8311yescharacteristic
416C22×C8C22×D8311yescharacteristic
417C22×C8C22×D8311yescharacteristic
418C4×D4—1662no—
419C4×D4—1662no—
420#117—1662no—
421#117—1662no—
422C2×C4⋊C4—831no—
423C2×C4⋊C4—831no—
424C2×C4⋊C4—831no—
425C2×C4⋊C4—831no—
426C2×C4⋊C4—831no—
427C2×C4⋊C4C4×D8311yescharacteristic
428C2×C4⋊C4C4×D8311yescharacteristic
429C2×C22⋊C4—831no—
430C2×C22⋊C4—831no—
431C2×C22⋊C4—831no—
432C2×C22⋊C4—831no—
433C2×C22⋊C4—831no—
434C2×C22⋊C4—831no—
435C2×C22⋊C4—831no—
436C2×C22⋊C4—831no—
437C2×C22⋊C4—831no—
438C2×C22⋊C4—831no—
439C2×C42—831no—
440C2×C42—831no—
441C2×C42C22×D8311yescharacteristic
442C2×C42C22×D8311yescharacteristic
443C2×C42C22×D8311yescharacteristic
444C4⋊C8—22no—
445C4⋊C8—3321no—
446C4⋊C8—1662no—
447C4⋊C8—1662no—
448C4⋊C8—1662no—
449C22⋊C8—3321no—
450C22⋊C8—834no—
451C22⋊C8—1662no—
452C22⋊C8—1662no—
453C22⋊C8—1662no—
454#97—1662no—
455#97—1662no—
456C4×C8—22no—
457C4×C8—3321no—
458C4×C8—1662no—
459#95—831no—
460#95—831no—
461#95—831no—
462#95—831no—
463#95—831no—
464#95—831no—
465#95—831no—
466#95—831no—
467#95C4×D8311yescharacteristic
468#95C4×D8311yescharacteristic
469C24—831no—
470C24—831no—
471C2×D4—1662no—
472C2×D4—1662no—
473C2×D4—1662no—
474C22×C4—831no—
475C22×C4—831no—
476C22×C4—832no—
477C22×C4—832no—
478C22×C4—831no—
479C22×C4—831no—
480C22×C4—831no—
481C22×C4—831no—
482C22×C4—1661no—
483C22×C4—1661no—
484C22×C4—1661no—
485C22×C4—1661no—
486C22×C4—1661no—
487C22×C4—1661no—
488C22×C4—1661no—
489C22×C4—1661no—
490C22×C4—1661no—
491C22×C4—1661no—
492C22×C4C2×C4×D8311yescharacteristic
493C22×C4C2×C4×D8311yescharacteristic
494C22×C4C2×C4×D8311yescharacteristic
495C22×C4C2×C4×D8311yescharacteristic
496C22×C4C2×C4×D8311yescharacteristic
497C22×C4C2×C4×D8311yescharacteristic
498C22×C4C23×D8311yescharacteristic
499M16—3324no—
500C2×C8—21no—
501C2×C8—21no—
502C2×C8—21no—
503C2×C8—21no—
504C2×C8—21no—
505C2×C8—21no—
506C2×C8—21no—
507C2×C8—21no—
508C2×C8—21no—
509C2×C8—21no—
510C2×C8—21no—
511C2×C8—3324no—
512C2×C8—3324no—
513C2×C8—832no—
514C2×C8—832no—
515C2×C8—832no—
516C2×C8—1661no—
517C2×C8—1661no—
518C2×C8—1661no—
519C2×C8—1661no—
520C2×C8—1661no—
521C2×C8—1661no—
522C2×C8—1661no—
523C2×C8—1661no—
524C2×C8—1661no—
525C2×C8D4×D8312yes—
526C4⋊C4—22no—
527C4⋊C4—41no—
528C4⋊C4—1662no—
529C4⋊C4—1662no—
530C4⋊C4—1662no—
531C4⋊C4—1662no—
532C4⋊C4—1662no—
533C22⋊C4—3321no—
534C22⋊C4—3321no—
535C22⋊C4—1662no—
536C22⋊C4—1662no—
537C22⋊C4—1662no—
538C22⋊C4—1662no—
539C22⋊C4—1662no—
540C22⋊C4—1662no—
541C22⋊C4—1662no—
542C22⋊C4—1662no—
543C42—21no—
544C42—21no—
545C42—21no—
546C42—21no—
547C42—21no—
548C42—21no—
549C42—1661no—
550C42—1661no—
551C42—1661no—
552C42—1661no—
553C23—832no—
554C23—832no—
555C23—1661no—
556C23—1661no—
557C23—1661no—
558C23—1661no—
559C23—1661no—
560C23—1661no—
561C23—1661no—
562C23—1661no—
563C23—1661no—
564C23—1661no—
565C23—1661no—
566C23—1661no—
567C23C22×C4×D8311yescharacteristic
568D4—1668no—
569C2×C4—21no—
570C2×C4—21no—
571C2×C4—21no—
572C2×C4—21no—
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—3321no—
587C2×C4—3321no—
588C2×C4—3321no—
589C2×C4—3321no—
590C2×C4—832no—
591C2×C4—832no—
592C2×C4—1661no—
593C2×C4—1661no—
594C2×C4—1661no—
595C2×C4—1661no—
596C2×C4—1661no—
597C2×C4—1661no—
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—1662no—
609C2×C4—1662no—
610C2×C4—1662no—
611C2×C4—1662no—
612C2×C4#1458179812yes—
613C2×C4C2×D4×D8311yescharacteristic
614C2×C4#41×D8311yescharacteristic
615C2×C4#41×D8311yescharacteristic
616C2×C4#41×D8311yescharacteristic
617C2×C4#1458183811yescharacteristic
618C2×C4#1458184011yescharacteristic
619C8—22no—
620C8—41no—
621C8—41no—
622C8—41no—
623C8—3321no—
624C8—1662no—
625C8—1662no—
626C8—1662no—
627C22—3321no—
628C22—3321no—
629C22—3321no—
630C22—3321no—
631C22—3321no—
632C22—3321no—
633C22—3321no—
634C22—3321no—
635C22—1662no—
636C22—1662no—
637C22—1662no—
638C22—1662no—
639C22—1662no—
640C22—1662no—
641C22C4×D4×D8311yescharacteristic
642C22#1912816911yescharacteristic
643C22#1912818311yescharacteristic
644C22#131×D8311yescharacteristic
645C22#131×D8311yescharacteristic
646C22C2×#1458179811yescharacteristic
647C22#1912846711yescharacteristic
648C4—22no—
649C4—41no—
650C4—41no—
651C4—41no—
652C4—41no—
653C4—41no—
654C4—3321no—
655C4—3321no—
656C4—3321no—
657C4—3321no—
658C4—1662no—
659C4—1662no—
660C4#1912834311yescharacteristic
661C4#1912835311yescharacteristic
662C4#1912837611yescharacteristic
663C4#1912838311yescharacteristic
664C2—3322no—
665C2—3322no—
666C2#2491044811yescharacteristic
667C2#2491615211yescharacteristic
668C2#2491620411yescharacteristic
669C2#2491643611yescharacteristic
670C2#2491646111yescharacteristic
671C2#2491660111yescharacteristic
672C2#2491662211yescharacteristic
subgroupG/H
center, FrattiniC22×C4C23×D83
commutator, socleC23×C83C23×C4
FittingC83×#1916C2
prime radicalC22×D332C2×C4
cosocleC22×C4×C83C24
hypercenter#1916D83
hypocenterC83#22901
LCSG ▷ C23×C83 ▷ C83
UCSC1 ◁ C22×C4 ◁ #1916

Complements

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

NH ≅ G/Ntype
2. C2×#19127760C2semidirect
4. #24908178C2semidirect
5. #24908074C2semidirect
6. #24908074C2semidirect
7. #24908018C2semidirect
9. #24907642C2semidirect
10. #24907642C2semidirect
11. #24907338C2semidirect
12. #24907245C2semidirect
13. C8×(C2×D83)⋊C4C2semidirect
14. #24907158C2semidirect
15. C83×#1916C2semidirect
344. #1916D83semidirect
352. C83#22901semidirect

Maximal subgroups

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

subgroupindex
C2×#191277662
C2×#191277602
#249107262
#249081782
#249080742
#249080182
#249077592
#249076422
#249073382
#249072452
C8×(C2×D83)⋊C42
#249071582
C83×#19162
#2290183