Finite Group Databasebeta

← #35407212

Subgroups — #35407212

Order 21248.

880 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×#19127761C211yesmaximal, characteristic, complemented
2C2×#19127653C211yesmaximal, characteristic, complemented
3#24909904C211yesmaximal, characteristic
4#24908076C211yesmaximal, characteristic, complemented
5#24908074C211yesmaximal, characteristic, complemented
6#24908029C211yesmaximal, characteristic, complemented
7#24907759C211yesmaximal, characteristic
8#24907759C211yesmaximal, characteristic
9#24907647C211yesmaximal, characteristic, complemented
10#24907644C211yesmaximal, characteristic, complemented
11#24907319C211yesmaximal, characteristic, complemented
12#24907228C211yesmaximal, characteristic, complemented
13#24907224C211yesmaximal, characteristic, complemented
14#24907213C211yesmaximal, characteristic, complemented
15C83×#1917C211yesmaximal, characteristic, complemented
16C22×#13050573C2211yescharacteristic
17C22×#13050573C2211yescharacteristic
18C2×C4×D332C2211yescharacteristic
19C2×#14581749C2211yescharacteristic
20C2×C42×D83C2211yescharacteristic
21#19127761—24no—
22C2×C4⋊(C83⋊C8)C2211yescharacteristic
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
31#19127653—24no—
32C2×#14581703C2211yescharacteristic
33C2×#14581702C2211yescharacteristic
34C2×#14581702C2211yescharacteristic
35C2×C8×Dic83C2211yescharacteristic
36C2×C8×Dic83C2211yescharacteristic
37#19127591C411yescharacteristic
38#19127591C411yescharacteristic
39#19127584C411yescharacteristic
40#19127584C411yescharacteristic
41#19127579C411yescharacteristic
42#19127579C411yescharacteristic
43#19127572C411yescharacteristic
44#19127572C411yescharacteristic
45C4×(C2×D83)⋊C4C2211yescharacteristic
46C4×(C2×D83)⋊C4C2211yescharacteristic
47#19127547C2211yescharacteristic
48#19127456C2211yescharacteristic
49#19127456C2211yescharacteristic
50#19127456C2211yescharacteristic
51#19127456C2211yescharacteristic
52#19127455C2211yescharacteristic
53#19127455C2211yescharacteristic
54C2×C4⋊C8×C83C2211yescharacteristic
55C2×#97×C83C2211yescharacteristic
56C4×C4⋊C4×C83C2211yescharacteristic
57#336×C83C2211yescharacteristic
58#336×C83C2211yescharacteristic
59#336×C83C2211yescharacteristic
60#336×C83C2211yescharacteristic
61C22×D332C2×C411yescharacteristic
62C22×C4×D83C2×C411yescharacteristic
63C22×C4×D83C2×C411yescharacteristic
64C22×C4×D83C2311yescharacteristic
65C22×C4×D83C2311yescharacteristic
66C2×#13050573—22no—
67C2×#13050573—22no—
68C2×#13050573—22no—
69C2×#13050573—22no—
70C2×#13050573—22no—
71C2×#13050573—22no—
72C22×C83⋊C8C2311yescharacteristic
73C22×C83⋊C8C2311yescharacteristic
74C22×C83⋊C8C2311yescharacteristic
75C22×C83⋊C8C2311yescharacteristic
76C4×D332—22no—
77C4×D332—22no—
78#14581749—22no—
79#14581749—22no—
80C2×C4⋊Dic83C2×C411yescharacteristic
81C2×Dic83⋊C4C2×C411yescharacteristic
82C2×Dic83⋊C4C2×C411yescharacteristic
83C2×(C2×D83)⋊C4C2×C411yescharacteristic
84C2×(C2×D83)⋊C4C2×C411yescharacteristic
85C2×(C2×D83)⋊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×C4×Dic83C2×C411yescharacteristic
92C2×C4×Dic83C2×C411yescharacteristic
93C2×C4×Dic83C2311yescharacteristic
94C2×C4×Dic83C2311yescharacteristic
95C42×D83—22no—
96C42×D83—22no—
97C4⋊(C83⋊C8)—22no—
98Dic83⋊C8—22no—
99Dic83⋊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(C2×D83)⋊C8—22no—
106#14581703—22no—
107#14581702—22no—
108#14581702—22no—
109C8×Dic83—22no—
110C8×Dic83D414yescomplemented
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—
129#97×C83—22no—
130#95×C83C2×C411yescharacteristic
131#95×C83C2×C411yescharacteristic
132C23×D83C22×C411yescharacteristic
133C23×D83C22×C411yescharacteristic
134C2×D332—22no—
135C2×D332—41no—
136C2×D332—41no—
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×D83—22no—
154C2×C4×D83—22no—
155C2×C4×D83—41no—
156C2×C4×D83—41no—
157C2×C4×D83—41no—
158C2×C4×D83—41no—
159C2×C4×D83#4112yes—
160C2×C4×D83#4112yes—
161#13050573—28no—
162#13050573—28no—
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⋊C8—21no—
170C2×C83⋊C8—21no—
171C2×C83⋊C8—21no—
172C2×C83⋊C8—21no—
173C2×C83⋊C8C2×D412yes—
174C2×C83⋊C8#4112yes—
175C4⋊Dic83—22no—
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—41no—
183(C2×D83)⋊C4—41no—
184(C2×D83)⋊C4—41no—
185(C2×D83)⋊C4—41no—
186C4×Dic83—21no—
187C4×Dic83—21no—
188C4×Dic83—22no—
189C4×Dic83—22no—
190C4×Dic83C2×D412yes—
191C4×Dic83#4112yes—
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×C83C2×D412yes—
210C2×C8×C83#4112yes—
211C4⋊C4×C83—41no—
212C4⋊C4×C83—41no—
213C42×C83—21no—
214C42×C83—21no—
215C42×C83—21no—
216C42×C83—21no—
217C42×C83—21no—
218C42×C83—21no—
219C23×C83C23×C411yescharacteristic
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—21no—
232C22×D83—21no—
233C22×D83#11712yes—
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—21no—
249C2×C4×C83—21no—
250C2×C4×C83—21no—
251C2×C4×C83—21no—
252C2×C4×C83C22×D411yescharacteristic
253C2×C4×C83C2×#4111yescharacteristic
254C2×C4×C83C2×#4111yescharacteristic
255C2×C4×C83C2×#4111yescharacteristic
256C2×C4×C83C2×#4111yescharacteristic
257C2×C4×C83C2×#4111yescharacteristic
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#11712yes—
274C2×Dic83C4×D412yes—
275C2×Dic83C4×D412yes—
276D332—44no—
277C4×D83—22no—
278C4×D83—22no—
279C4×D83—22no—
280C4×D83—22no—
281C4×D83—44no—
282C4×D83—44no—
283C4×D83—41no—
284C4×D83—41no—
285C4×D83—41no—
286C4×D83—41no—
287C8×C83—22no—
288C8×C83—22no—
289C8×C83—41no—
290C8×C83—41no—
291C83⋊C8—22no—
292C83⋊C8—22no—
293C83⋊C8—41no—
294C83⋊C8—41no—
295C22×C83C2×#11711yescharacteristic
296C22×C83C2×C4×D411yescharacteristic
297C22×C83C4×#4111yescharacteristic
298C22×C83#56811yescharacteristic
299C22×C83#56811yescharacteristic
300C22×C83#56811yescharacteristic
301C22×C83#56811yescharacteristic
302C2×D83—22no—
303C2×D83—22no—
304C2×D83—22no—
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—
314C2×D83—41no—
315C2×D83—41no—
316C4×C83—41no—
317C4×C83—41no—
318C4×C83—41no—
319C4×C83—41no—
320C4×C83—41no—
321C4×C83—41no—
322C4×C83#52511yescharacteristic
323C4×C83#52511yescharacteristic
324C4×C83#52911yescharacteristic
325C4×C83#52911yescharacteristic
326Dic83—22no—
327Dic83—22no—
328Dic83—22no—
329Dic83—41no—
330Dic83—41no—
331Dic83—41no—
332#21104—831nomaximal, Sylow
333C2×C83#229011yescharacteristic
334C2×C83#292111yescharacteristic
335C2×C83#292311yescharacteristic
336C2×C83#293011yescharacteristic
337C2×C83#293011yescharacteristic
338C2×C83#296711yescharacteristic
339C2×C83#296711yescharacteristic
340D83—42no—
341D83—81no—
342C2×#433—831no—
343C2×C4×M16—831no—
344#2290—831no—
345#1924—831no—
346#1924—831no—
347#1917—831no—
348#1917D8311yescharacteristic, complemented
349#1870—831no—
350#1870—831no—
351#1851—831no—
352#1851—831no—
353#1768—831no—
354#1750—831no—
355#1749—831no—
356#1746—831no—
357C83#2110411yescharacteristic, complemented, Sylow
358C22×M16—831no—
359C22×M16—831no—
360C2×C4×D4—831no—
361C2×#117—831no—
362C22×C42—831no—
363#433—1664no—
364C2×C4⋊C8—831no—
365C2×C4⋊C8—831no—
366C2×C4⋊C8—831no—
367C2×C4⋊C8C2×D8311yescharacteristic
368C2×C22⋊C8—831no—
369C2×C22⋊C8—831no—
370C2×C22⋊C8—831no—
371C2×C22⋊C8—831no—
372C2×C22⋊C8—831no—
373C2×C22⋊C8—831no—
374C4×M16—1664no—
375C2×#97—831no—
376C2×#97—831no—
377C2×#97—831no—
378C2×#97C2×D8311yescharacteristic
379C2×C4×C8—831no—
380C2×C4×C8—831no—
381#388—831no—
382#388—831no—
383#387—831no—
384#387—831no—
385#386—831no—
386#386—831no—
387#385—831no—
388#385—831no—
389C4×C4⋊C4C2×D8311yescharacteristic
390C4×C22⋊C4—831no—
391C4×C22⋊C4—831no—
392#376—831no—
393#336—831no—
394#336—831no—
395#336—831no—
396#336—831no—
397#336—831no—
398#336—831no—
399#336C2×D8311yescharacteristic
400#336C2×D8311yescharacteristic
401#336C2×D8311yescharacteristic
402#336C2×D8311yescharacteristic
403C22×D4—831no—
404C23×C4—831no—
405C23×C4—831no—
406C23×C4—831no—
407C23×C4—831no—
408C2×M16—1662no—
409C2×M16—1662no—
410C2×M16—1662no—
411C2×M16—1662no—
412C2×M16—1662no—
413C2×M16—1662no—
414C22×C8—831no—
415C22×C8—831no—
416C22×C8—831no—
417C22×C8—831no—
418C22×C8C22×D8311yescharacteristic
419C22×C8C22×D8311yescharacteristic
420C22×C8C22×D8311yescharacteristic
421C22×C8C22×D8311yescharacteristic
422C4×D4—1662no—
423C4×D4—1662no—
424#117—1662no—
425#117—1662no—
426C2×C4⋊C4—831no—
427C2×C4⋊C4—831no—
428C2×C4⋊C4—831no—
429C2×C4⋊C4C4×D8311yescharacteristic
430C2×C4⋊C4C4×D8311yescharacteristic
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×C42—831no—
442C2×C42—831no—
443C2×C42—1662no—
444C2×C42—1662no—
445C2×C42C22×D8311yescharacteristic
446C2×C42C22×D8311yescharacteristic
447C2×C42C22×D8311yescharacteristic
448C4⋊C8—22no—
449C4⋊C8—1662no—
450C4⋊C8—1662no—
451C4⋊C8—1662no—
452C22⋊C8—1662no—
453C22⋊C8—1662no—
454C22⋊C8—1662no—
455C22⋊C8—1662no—
456C22⋊C8—1662no—
457C22⋊C8—1662no—
458#97—22no—
459#97—1662no—
460#97—1662no—
461#97—1662no—
462C4×C8—834no—
463C4×C8—1662no—
464#95—831no—
465#95—831no—
466#95—831no—
467#95—831no—
468#95—831no—
469#95—831no—
470#95—831no—
471#95—831no—
472#95C4×D8311yescharacteristic
473#95C4×D8311yescharacteristic
474C24—831no—
475C24—831no—
476C2×D4—3321no—
477C2×D4—3321no—
478C2×D4—1662no—
479C22×C4—3321no—
480C22×C4—3321no—
481C22×C4—3321no—
482C22×C4—3321no—
483C22×C4—831no—
484C22×C4—831no—
485C22×C4—831no—
486C22×C4—832no—
487C22×C4—832no—
488C22×C4—831no—
489C22×C4—831no—
490C22×C4—831no—
491C22×C4—1662no—
492C22×C4—1662no—
493C22×C4—1661no—
494C22×C4—1661no—
495C22×C4—1661no—
496C22×C4—1661no—
497C22×C4—1661no—
498C22×C4—1661no—
499C22×C4—1661no—
500C22×C4—1661no—
501C22×C4—1661no—
502C22×C4—1661no—
503C22×C4C2×C4×D8311yescharacteristic
504C22×C4C2×C4×D8311yescharacteristic
505C22×C4C2×C4×D8311yescharacteristic
506C22×C4C2×C4×D8311yescharacteristic
507C22×C4C2×C4×D8311yescharacteristic
508C22×C4C2×C4×D8311yescharacteristic
509C22×C4C23×D8311yescharacteristic
510M16—1668no—
511M16—1668no—
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—21no—
521C2×C8—21no—
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—
532C2×C8—1661no—
533C2×C8—1661no—
534C2×C8D4×D8312yes—
535C2×C8#1305059112yes—
536C4⋊C4—41no—
537C4⋊C4—41no—
538C4⋊C4—1662no—
539C4⋊C4—1662no—
540C4⋊C4—1662no—
541C22⋊C4—3321no—
542C22⋊C4—3321no—
543C22⋊C4—3321no—
544C22⋊C4—3321no—
545C22⋊C4—1662no—
546C22⋊C4—1662no—
547C22⋊C4—1662no—
548C22⋊C4—1662no—
549C42—21no—
550C42—21no—
551C42—21no—
552C42—21no—
553C42—21no—
554C42—21no—
555C42—832no—
556C42—832no—
557C42—1662no—
558C42—1662no—
559C42—1661no—
560C42—1661no—
561C23—832no—
562C23—1661no—
563C23—1661no—
564C23—1661no—
565C23—1661no—
566C23—1661no—
567C23—1661no—
568C23—1661no—
569C23—1661no—
570C23—1661no—
571C23—1661no—
572C23—1661no—
573C23—1661no—
574C23—1661no—
575C23C22×C4×D8311yescharacteristic
576D4—3324no—
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—21no—
588C2×C4—21no—
589C2×C4—21no—
590C2×C4—21no—
591C2×C4—21no—
592C2×C4—21no—
593C2×C4—21no—
594C2×C4—21no—
595C2×C4—3324no—
596C2×C4—3324no—
597C2×C4—3321no—
598C2×C4—3321no—
599C2×C4—3321no—
600C2×C4—3321no—
601C2×C4—832no—
602C2×C4—832no—
603C2×C4—832no—
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—1661no—
616C2×C4—1661no—
617C2×C4—1661no—
618C2×C4—1661no—
619C2×C4—1662no—
620C2×C4—1662no—
621C2×C4—1662no—
622C2×C4—1662no—
623C2×C4C2×D4×D8311yescharacteristic
624C2×C4#41×D8311yescharacteristic
625C2×C4#41×D8311yescharacteristic
626C2×C4#41×D8311yescharacteristic
627C2×C4#41×D8311yescharacteristic
628C2×C4C2×#1305059111yescharacteristic
629C8—22no—
630C8—22no—
631C8—41no—
632C8—41no—
633C8—3321no—
634C8—3321no—
635C8—1662no—
636C8—1662no—
637C22—3321no—
638C22—3321no—
639C22—3321no—
640C22—3321no—
641C22—3321no—
642C22—3321no—
643C22—3321no—
644C22—3321no—
645C22—3321no—
646C22—3321no—
647C22—3321no—
648C22—1662no—
649C22—1662no—
650C22—1662no—
651C22#117×D8311yescharacteristic
652C22C4×D4×D8311yescharacteristic
653C22C4×#1305059111yescharacteristic
654C22#1912846611yescharacteristic
655C22#1912846611yescharacteristic
656C22#1912846711yescharacteristic
657C22#1912846711yescharacteristic
658C4—41no—
659C4—41no—
660C4—41no—
661C4—41no—
662C4—41no—
663C4—41no—
664C4—3321no—
665C4—3321no—
666C4—3321no—
667C4—1662no—
668C4—1662no—
669C4—1662no—
670C4#1912820911yescharacteristic
671C4#1912821411yescharacteristic
672C4#1912823411yescharacteristic
673C4#1912823611yescharacteristic
674C2—3322no—
675C2—6641no—
676C2#2490990111yescharacteristic
677C2#2491609711yescharacteristic
678C2#2491610911yescharacteristic
679C2#2491616111yescharacteristic
680C2#2491616311yescharacteristic
681C2#2491644711yescharacteristic
682C2#2491644711yescharacteristic
subgroupG/H
center, FrattiniC22×C4C23×D83
commutator, socleC23×C83C23×C4
FittingC83×#1917C2
prime radicalC22×D332C2×C4
cosocleC22×C4×C83C24
hypercenter#1917D83
hypocenterC83#21104
LCSG ▷ C23×C83 ▷ C83
UCSC1 ◁ C22×C4 ◁ #1917

Complements

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

NH ≅ G/Ntype
1. C2×#19127761C2semidirect
2. C2×#19127653C2semidirect
4. #24908076C2semidirect
5. #24908074C2semidirect
6. #24908029C2semidirect
9. #24907647C2semidirect
10. #24907644C2semidirect
11. #24907319C2semidirect
12. #24907228C2semidirect
13. #24907224C2semidirect
14. #24907213C2semidirect
15. C83×#1917C2semidirect
110. C8×Dic83D4semidirect
348. #1917D83semidirect
357. C83#21104semidirect

Maximal subgroups

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

subgroupindex
C2×#191277612
C2×#191276532
#249099042
#249080762
#249080742
#249080292
#249077592
#249076472
#249076442
#249073192
#249072282
#249072242
#249072132
C83×#19172
#2110483