Finite Group Databasebeta

← #35415063

Subgroups — #35415063

Order 21248.

800 conjugacy classes of subgroups.

The subgroup lattice has 672 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#24909904C211yesmaximal, characteristic
2#24908069C211yesmaximal, characteristic, complemented
3#24908067C211yesmaximal, characteristic, complemented
4#24908022C211yesmaximal, characteristic, complemented
5#24907754C211yesmaximal, characteristic
6#24907754C211yesmaximal, characteristic
7#24907642C211yesmaximal, characteristic, complemented
8#24907639C211yesmaximal, characteristic, complemented
9#24907607C211yesmaximal, characteristic, complemented
10#24907581C211yesmaximal, characteristic, complemented
11#24907533C211yesmaximal, characteristic, complemented
12#24907444C211yesmaximal, characteristic, complemented
13C4×(C2×D83)⋊C8C211yesmaximal, characteristic, complemented
14#336×D83C211yesmaximal, characteristic, complemented
15C83×#1916C211yesmaximal, characteristic, complemented
16C22×C8×D83C2211yescharacteristic
17C22×C8×D83C2211yescharacteristic
18C2×C4×D332C2211yescharacteristic
19C2×#14581749C2211yescharacteristic
20C2×C42×D83C2211yescharacteristic
21C2×C4⋊(C83⋊C8)C2211yescharacteristic
22C2×Dic83⋊C8C2211yescharacteristic
23C2×Dic83⋊C8C2211yescharacteristic
24C2×(C2×D83)⋊C8C2211yescharacteristic
25C2×(C2×D83)⋊C8C2211yescharacteristic
26C2×(C2×D83)⋊C8C2211yescharacteristic
27C2×(C2×D83)⋊C8C2211yescharacteristic
28C2×(C2×D83)⋊C8C2211yescharacteristic
29C2×(C2×D83)⋊C8C2211yescharacteristic
30C2×C4×C83⋊C8C2211yescharacteristic
31#19127591C411yescharacteristic
32#19127591C411yescharacteristic
33#19127584C411yescharacteristic
34#19127584C411yescharacteristic
35#19127579C411yescharacteristic
36#19127579C411yescharacteristic
37#19127572C411yescharacteristic
38#19127572C411yescharacteristic
39C4×(C2×D83)⋊C4C2211yescharacteristic
40C4×(C2×D83)⋊C4C2211yescharacteristic
41#19127547C2211yescharacteristic
42#19127456C2211yescharacteristic
43#19127456C2211yescharacteristic
44#19127456C2211yescharacteristic
45#19127456C2211yescharacteristic
46#19127455C2211yescharacteristic
47#19127455C2211yescharacteristic
48#19127455C2211yescharacteristic
49#19127455C2211yescharacteristic
50#19127455C2211yescharacteristic
51#19127455C2211yescharacteristic
52C2×C4⋊C8×C83C2211yescharacteristic
53C2×C4×C8×C83C2211yescharacteristic
54C4×C4⋊C4×C83C2211yescharacteristic
55#336×C83C2211yescharacteristic
56#336×C83C2211yescharacteristic
57#336×C83C2211yescharacteristic
58#336×C83C2211yescharacteristic
59C22×D332C2×C411yescharacteristic
60C22×C4×D83C2×C411yescharacteristic
61C22×C4×D83C2×C411yescharacteristic
62C22×C4×D83C2311yescharacteristic
63C22×C4×D83C2311yescharacteristic
64C22×C83⋊C8C2311yescharacteristic
65C22×C83⋊C8C2311yescharacteristic
66C22×C83⋊C8C2311yescharacteristic
67C22×C83⋊C8C2311yescharacteristic
68C2×C8×D83—22no—
69C2×C8×D83—22no—
70C2×C8×D83—41no—
71C2×C8×D83—41no—
72C2×C8×D83—41no—
73C2×C8×D83—41no—
74C4×D332—22no—
75C4×D332—22no—
76#14581749—41no—
77#14581749—41no—
78C2×C4⋊Dic83C2×C411yescharacteristic
79C2×Dic83⋊C4C2×C411yescharacteristic
80C2×Dic83⋊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×(C2×D83)⋊C4C2×C411yescharacteristic
88C2×(C2×D83)⋊C4C2×C411yescharacteristic
89C2×C4×Dic83C2×C411yescharacteristic
90C2×C4×Dic83C2×C411yescharacteristic
91C2×C4×Dic83C2311yescharacteristic
92C2×C4×Dic83C2311yescharacteristic
93C42×D83—41no—
94C42×D83—41no—
95C4⋊(C83⋊C8)—41no—
96Dic83⋊C8—41no—
97Dic83⋊C8—41no—
98(C2×D83)⋊C8—22no—
99(C2×D83)⋊C8—22no—
100(C2×D83)⋊C8—41no—
101(C2×D83)⋊C8—41no—
102(C2×D83)⋊C8—41no—
103(C2×D83)⋊C8—41no—
104C4×C83⋊C8—41no—
105C83⋊#95C2×C411yescharacteristic
106C83⋊#95C2×C411yescharacteristic
107C83⋊#95C2×C411yescharacteristic
108C83⋊#95C2×C411yescharacteristic
109C83⋊#95C2×C411yescharacteristic
110C83⋊#95C2×C411yescharacteristic
111C83⋊#95C2×C411yescharacteristic
112C83⋊#95C2×C411yescharacteristic
113C22×C8×C83C2311yescharacteristic
114C22×C8×C83C2311yescharacteristic
115C22×C8×C83C2311yescharacteristic
116C22×C8×C83C2311yescharacteristic
117C2×C4⋊C4×C83C2×C411yescharacteristic
118C2×C4⋊C4×C83C2×C411yescharacteristic
119C2×C42×C83C2311yescharacteristic
120C2×C42×C83C2311yescharacteristic
121C2×C42×C83C2311yescharacteristic
122C4⋊C8×C83—41no—
123C4×C8×C83—41no—
124#95×C83C2×C411yescharacteristic
125#95×C83C2×C411yescharacteristic
126C23×D83C22×C411yescharacteristic
127C23×D83C22×C411yescharacteristic
128C2×D332—22no—
129C2×D332—22no—
130C2×D332—22no—
131C22×Dic83C22×C411yescharacteristic
132C22×Dic83C22×C411yescharacteristic
133C22×Dic83C22×C411yescharacteristic
134C22×Dic83C22×C411yescharacteristic
135C22×Dic83C22×C411yescharacteristic
136C22×Dic83C22×C411yescharacteristic
137C2×C4×D83—21no—
138C2×C4×D83—21no—
139C2×C4×D83—21no—
140C2×C4×D83—21no—
141C2×C4×D83—22no—
142C2×C4×D83—22no—
143C2×C4×D83—22no—
144C2×C4×D83—22no—
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—41no—
152C2×C4×D83—41no—
153C2×C4×D83#4112yes—
154C2×C4×D83#4112yes—
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⋊C8—21no—
163C2×C83⋊C8—21no—
164C2×C83⋊C8—21no—
165C2×C83⋊C8—21no—
166C2×C83⋊C8—21no—
167C8×D83—44no—
168C8×D83—44no—
169C4⋊Dic83—22no—
170Dic83⋊C4—41no—
171Dic83⋊C4—41no—
172(C2×D83)⋊C4—22no—
173(C2×D83)⋊C4—22no—
174(C2×D83)⋊C4—22no—
175(C2×D83)⋊C4—22no—
176(C2×D83)⋊C4—22no—
177(C2×D83)⋊C4—22no—
178(C2×D83)⋊C4—41no—
179(C2×D83)⋊C4—41no—
180C4×Dic83—21no—
181C4×Dic83—21no—
182C4×Dic83—21no—
183C4×Dic83—21no—
184C4×Dic83—41no—
185C4×Dic83—41no—
186C22×C4×C83C22×C411yescharacteristic
187C22×C4×C83C22×C411yescharacteristic
188C22×C4×C83C22×C411yescharacteristic
189C22×C4×C83C22×C411yescharacteristic
190C22×C4×C83C22×C411yescharacteristic
191C22×C4×C83C22×C411yescharacteristic
192C22×C4×C83C2411yescharacteristic
193C2×C8×C83—21no—
194C2×C8×C83—21no—
195C2×C8×C83—21no—
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—
205C4⋊C4×C83—22no—
206C4⋊C4×C83—22no—
207C42×C83—21no—
208C42×C83—21no—
209C42×C83—21no—
210C42×C83—21no—
211C42×C83—21no—
212C42×C83—21no—
213C23×C83C23×C411yescharacteristic
214C22×D83—21no—
215C22×D83—21no—
216C22×D83—21no—
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#11712yes—
226C22×D83#13112yes—
227C22×D83#13112yes—
228C2×C4×C83—21no—
229C2×C4×C83—21no—
230C2×C4×C83—21no—
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#13112yes—
245C2×C4×C83#13112yes—
246C2×C4×C83C2×#4111yescharacteristic
247C2×C4×C83C2×#4111yescharacteristic
248C2×C4×C83H(5,𝔽2)11yescharacteristic
249C2×C4×C83H(5,𝔽2)11yescharacteristic
250C2×C4×C83H(5,𝔽2)11yescharacteristic
251C2×C4×C832−1+411yescharacteristic
252C2×Dic83—21no—
253C2×Dic83—21no—
254C2×Dic83—21no—
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#11712yes—
270D332—44no—
271C4×D83—22no—
272C4×D83—22no—
273C4×D83—22no—
274C4×D83—22no—
275C4×D83—44no—
276C4×D83—44no—
277C4×D83—41no—
278C4×D83—41no—
279C4×D83—41no—
280C4×D83—41no—
281C8×C83—41no—
282C8×C83—41no—
283C8×C83—41no—
284C8×C83—41no—
285C83⋊C8—41no—
286C83⋊C8—41no—
287C83⋊C8—41no—
288C83⋊C8—41no—
289C22×C83C2×#11711yescharacteristic
290C22×C83#51811yescharacteristic
291C22×C83#52011yescharacteristic
292C22×C83C2×#13111yescharacteristic
293C22×C83C2×#13111yescharacteristic
294C22×C83C2×#13111yescharacteristic
295C22×C83C2×#13111yescharacteristic
296C2×D83—22no—
297C2×D83—22no—
298C2×D83—22no—
299C2×D83—22no—
300C2×D83—22no—
301C2×D83—22no—
302C2×D83—41no—
303C2×D83—41no—
304C2×D83—41no—
305C2×D83—41no—
306C2×D83—41no—
307C2×D83—41no—
308C2×D83—41no—
309C2×D83#43314yes—
310C4×C83—22no—
311C4×C83—22no—
312C4×C83—41no—
313C4×C83—41no—
314C4×C83—41no—
315C4×C83—41no—
316C4×C83#53811yescharacteristic
317C4×C83#53811yescharacteristic
318C4×C83#53911yescharacteristic
319C4×C83#53911yescharacteristic
320Dic83—22no—
321Dic83—41no—
322Dic83—41no—
323Dic83—41no—
324Dic83—41no—
325Dic83—41no—
326#21997—831nomaximal, Sylow
327C2×C83#231811yescharacteristic
328C2×C83C2×#43311yescharacteristic
329C2×C83#292211yescharacteristic
330C2×C83#297711yescharacteristic
331C2×C83#297711yescharacteristic
332C2×C83#299411yescharacteristic
333C2×C83#299411yescharacteristic
334D83—24no—
335D83—81no—
336#2290—831no—
337#1923—831no—
338#1923—831no—
339#1916—831no—
340#1916D8311yescharacteristic, complemented
341#1869—831no—
342#1869—831no—
343#1850—831no—
344#1850—831no—
345#1840—831no—
346#1832—831no—
347#1818—831no—
348#1798—831no—
349C4×C22⋊C8—831no—
350C2×#336—831no—
351C83#2199711yescharacteristic, complemented, Sylow
352C23×C8—831no—
353C23×C8—831no—
354C2×C4×D4—831no—
355C2×#117—831no—
356C22×C42—831no—
357C2×C4⋊C8—831no—
358C2×C4⋊C8—831no—
359C2×C4⋊C8—831no—
360C2×C4⋊C8C2×D8311yescharacteristic
361C2×C22⋊C8—831no—
362C2×C22⋊C8—831no—
363C2×C22⋊C8—831no—
364C2×C22⋊C8—831no—
365C2×C22⋊C8—831no—
366C2×C22⋊C8—831no—
367C2×C4×C8—831no—
368C2×C4×C8C2×D8311yescharacteristic
369#388—831no—
370#388—831no—
371#387—831no—
372#387—831no—
373#386—831no—
374#386—831no—
375#385—831no—
376#385—831no—
377C4×C4⋊C4C2×D8311yescharacteristic
378C4×C22⋊C4—831no—
379C4×C22⋊C4—831no—
380#376—831no—
381#336—831no—
382#336—831no—
383#336—831no—
384#336—831no—
385#336—831no—
386#336—831no—
387#336—831no—
388#336—831no—
389#336—831no—
390#336—831no—
391#336C2×D8311yescharacteristic
392#336C2×D8311yescharacteristic
393#336C2×D8311yescharacteristic
394#336C2×D8311yescharacteristic
395C22×D4—831no—
396C23×C4—831no—
397C23×C4—831no—
398C23×C4—831no—
399C23×C4—831no—
400C22×C8—3321no—
401C22×C8—3321no—
402C22×C8—3321no—
403C22×C8—3321no—
404C22×C8—831no—
405C22×C8—831no—
406C22×C8—831no—
407C22×C8—831no—
408C22×C8—1662no—
409C22×C8—1662no—
410C22×C8C22×D8311yescharacteristic
411C22×C8C22×D8311yescharacteristic
412C22×C8C22×D8311yescharacteristic
413C22×C8C22×D8311yescharacteristic
414C4×D4—1662no—
415C4×D4—1662no—
416#117—3321no—
417#117—3321no—
418C2×C4⋊C4—831no—
419C2×C4⋊C4—831no—
420C2×C4⋊C4—831no—
421C2×C4⋊C4C4×D8311yescharacteristic
422C2×C4⋊C4C4×D8311yescharacteristic
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—3321no—
432C2×C42—3321no—
433C2×C42—831no—
434C2×C42—831no—
435C2×C42—831no—
436C2×C42—831no—
437C2×C42C22×D8311yescharacteristic
438C2×C42C22×D8311yescharacteristic
439C2×C42C22×D8311yescharacteristic
440C4⋊C8—41no—
441C4⋊C8—3321no—
442C4⋊C8—3321no—
443C4⋊C8—3321no—
444C22⋊C8—3321no—
445C22⋊C8—3321no—
446C22⋊C8—3321no—
447C22⋊C8—3321no—
448C22⋊C8—1662no—
449C22⋊C8—1662no—
450C4×C8—41no—
451C4×C8—3321no—
452#95—831no—
453#95—831no—
454#95—831no—
455#95—831no—
456#95—831no—
457#95—831no—
458#95—831no—
459#95—831no—
460#95C4×D8311yescharacteristic
461#95C4×D8311yescharacteristic
462C24—831no—
463C24—831no—
464C2×D4—1662no—
465C2×D4—1662no—
466C2×D4—1662no—
467C22×C4—3321no—
468C22×C4—3321no—
469C22×C4—831no—
470C22×C4—832no—
471C22×C4—832no—
472C22×C4—831no—
473C22×C4—831no—
474C22×C4—831no—
475C22×C4—831no—
476C22×C4—831no—
477C22×C4—1662no—
478C22×C4—1662no—
479C22×C4—1662no—
480C22×C4—1662no—
481C22×C4—1661no—
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×C4C2×C4×D8311yescharacteristic
492C22×C4C2×C4×D8311yescharacteristic
493C22×C4C2×C4×D8311yescharacteristic
494C22×C4C2×C4×D8311yescharacteristic
495C22×C4C2×C4×D8311yescharacteristic
496C22×C4C2×C4×D8311yescharacteristic
497C22×C4C23×D8311yescharacteristic
498C2×C8—21no—
499C2×C8—21no—
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—3324no—
511C2×C8—3324no—
512C2×C8—1661no—
513C2×C8—1661no—
514C2×C8—1661no—
515C2×C8—1661no—
516C2×C8—1661no—
517C2×C8—1661no—
518C2×C8—1661no—
519C2×C8—1661no—
520C2×C8—1661no—
521C2×C8—1661no—
522C2×C8—1661no—
523C2×C8—1661no—
524C4⋊C4—22no—
525C4⋊C4—22no—
526C4⋊C4—3321no—
527C4⋊C4—3321no—
528C4⋊C4—1662no—
529C22⋊C4—3321no—
530C22⋊C4—3321no—
531C22⋊C4—1662no—
532C22⋊C4—1662no—
533C22⋊C4—1662no—
534C22⋊C4—1662no—
535C22⋊C4—1662no—
536C22⋊C4—1662no—
537C42—21no—
538C42—21no—
539C42—21no—
540C42—21no—
541C42—21no—
542C42—21no—
543C42—3321no—
544C42—3321no—
545C42—1661no—
546C42—1661no—
547C42—1661no—
548C42—1661no—
549C23—832no—
550C23—832no—
551C23—832no—
552C23—1661no—
553C23—1661no—
554C23—1661no—
555C23—1661no—
556C23—1661no—
557C23—1661no—
558C23—1661no—
559C23—1661no—
560C23—1661no—
561C23—1661no—
562C23—1661no—
563C23C22×C4×D8311yescharacteristic
564D4—3324no—
565C2×C4—21no—
566C2×C4—21no—
567C2×C4—21no—
568C2×C4—21no—
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—3324no—
582C2×C4—3324no—
583C2×C4—3321no—
584C2×C4—3321no—
585C2×C4—3321no—
586C2×C4—3321no—
587C2×C4—832no—
588C2×C4—1661no—
589C2×C4—1661no—
590C2×C4—1661no—
591C2×C4—1661no—
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—1662no—
606C2×C4—1662no—
607C2×C4—1662no—
608C2×C4—1662no—
609C2×C4#1458179812yes—
610C2×C4#1458180012yes—
611C2×C4#41×D8311yescharacteristic
612C2×C4#41×D8311yescharacteristic
613C2×C4#1458183711yescharacteristic
614C2×C4#1458183811yescharacteristic
615C2×C4#1458183811yescharacteristic
616C2×C4#1458184011yescharacteristic
617C8—41no—
618C8—41no—
619C8—41no—
620C8—41no—
621C8—3321no—
622C8—3321no—
623C8—3321no—
624C8—3321no—
625C22—3321no—
626C22—3321no—
627C22—3321no—
628C22—3321no—
629C22—3321no—
630C22—3321no—
631C22—3321no—
632C22—834no—
633C22—1662no—
634C22—1662no—
635C22—1662no—
636C22—1662no—
637C22—1662no—
638C22—1662no—
639C22#117×D8311yescharacteristic
640C22#1912817311yescharacteristic
641C22#1912818311yescharacteristic
642C22#131×D8311yescharacteristic
643C22#131×D8311yescharacteristic
644C22C2×#1458179811yescharacteristic
645C22C2×#1458180011yescharacteristic
646C4—22no—
647C4—22no—
648C4—41no—
649C4—41no—
650C4—41no—
651C4—41no—
652C4—3321no—
653C4—3321no—
654C4—3321no—
655C4—3321no—
656C4—3321no—
657C4—1662no—
658C4#1912828711yescharacteristic
659C4#1912829011yescharacteristic
660C4#1912829711yescharacteristic
661C4#1912829911yescharacteristic
662C2—6641no—
663C2—1664no—
664C2#2491009511yescharacteristic
665C2#433×D8311yescharacteristic
666C2#2491610211yescharacteristic
667C2#2491651411yescharacteristic
668C2#2491651611yescharacteristic
669C2#2491662211yescharacteristic
670C2#2491662611yescharacteristic
subgroupG/H
center, FrattiniC22×C4C23×D83
commutator, socleC23×C83C23×C4
FittingC83×#1916C2
prime radicalC22×D332C2×C4
cosocleC22×C4×C83C24
hypercenter#1916D83
hypocenterC83#21997
LCSG ▷ C23×C83 ▷ C83
UCSC1 ◁ C22×C4 ◁ #1916

Complements

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

NH ≅ G/Ntype
2. #24908069C2semidirect
3. #24908067C2semidirect
4. #24908022C2semidirect
7. #24907642C2semidirect
8. #24907639C2semidirect
9. #24907607C2semidirect
10. #24907581C2semidirect
11. #24907533C2semidirect
12. #24907444C2semidirect
13. C4×(C2×D83)⋊C8C2semidirect
14. #336×D83C2semidirect
15. C83×#1916C2semidirect
340. #1916D83semidirect
351. C83#21997semidirect

Maximal subgroups

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

subgroupindex
#249099042
#249080692
#249080672
#249080222
#249077542
#249076422
#249076392
#249076072
#249075812
#249075332
#249074442
C4×(C2×D83)⋊C82
#336×D832
C83×#19162
#2199783