Finite Group Databasebeta

← #35423464

Subgroups — #35423464

Order 21248.

888 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×#19127752C211yesmaximal, characteristic, complemented
2C2×#19127726C211yesmaximal, characteristic, complemented
3#24909904C211yesmaximal, characteristic
4#24908075C211yesmaximal, characteristic, complemented
5#24908070C211yesmaximal, characteristic, complemented
6#24908022C211yesmaximal, characteristic, complemented
7#24907759C211yesmaximal, characteristic
8#24907754C211yesmaximal, characteristic
9#24907581C211yesmaximal, characteristic, complemented
10#24907446C211yesmaximal, characteristic, complemented
11#24907442C211yesmaximal, characteristic, complemented
12#24907319C211yesmaximal, characteristic, complemented
13#24907246C211yesmaximal, characteristic, complemented
14#24907233C211yesmaximal, characteristic, complemented
15C83×#1916C211yesmaximal, characteristic, complemented
16C22×#13050573C2211yescharacteristic
17C22×C8×D83C2211yescharacteristic
18C2×C4×D332C2211yescharacteristic
19C2×#14581749C2211yescharacteristic
20C2×C42×D83C2211yescharacteristic
21#19127752—24no—
22#19127726—24no—
23C2×C4⋊(C83⋊C8)C2211yescharacteristic
24C2×Dic83⋊C8C2211yescharacteristic
25C2×Dic83⋊C8C2211yescharacteristic
26C2×Dic83⋊C8C2211yescharacteristic
27C2×Dic83⋊C8C2211yescharacteristic
28C2×(C2×D83)⋊C8C2211yescharacteristic
29C2×(C2×D83)⋊C8C2211yescharacteristic
30C2×(C2×D83)⋊C8C2211yescharacteristic
31C2×(C2×D83)⋊C8C2211yescharacteristic
32C2×(C2×D83)⋊C8C2211yescharacteristic
33C2×(C2×D83)⋊C8C2211yescharacteristic
34C2×#14581702C2211yescharacteristic
35C2×C4×C83⋊C8C2211yescharacteristic
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×C4×C8×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—41no—
69C22×C83⋊C8C2311yescharacteristic
70C22×C83⋊C8C2311yescharacteristic
71C22×C83⋊C8C2311yescharacteristic
72C22×C83⋊C8C2311yescharacteristic
73C2×C8×D83—22no—
74C2×C8×D83—22no—
75C2×C8×D83—41no—
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—
100Dic83⋊C8—22no—
101Dic83⋊C8D414yescomplemented
102(C2×D83)⋊C8—22no—
103(C2×D83)⋊C8—22no—
104(C2×D83)⋊C8—22no—
105(C2×D83)⋊C8—22no—
106(C2×D83)⋊C8—41no—
107(C2×D83)⋊C8—41no—
108#14581702—41no—
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—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—21no—
146C2×C4×D83—21no—
147C2×C4×D83—21no—
148C2×C4×D83—21no—
149C2×C4×D83—22no—
150C2×C4×D83—22no—
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—22no—
158C2×C4×D83—41no—
159C2×C4×D83#4112yes—
160C2×C4×D83#4112yes—
161#13050573—44no—
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⋊C8—21no—
170C2×C83⋊C8—21no—
171C2×C83⋊C8—21no—
172C2×C83⋊C8—21no—
173C2×C83⋊C8C2×D412yes—
174C8×D83—44no—
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—22no—
183(C2×D83)⋊C4—22no—
184(C2×D83)⋊C4—22no—
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×C83—21no—
210C2×C8×C83C2×D412yes—
211C4⋊C4×C83—22no—
212C4⋊C4×C83—22no—
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#11712yes—
233C22×D83#13112yes—
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#13112yes—
251C2×C4×C83#13112yes—
252C2×C4×C83C22×D411yescharacteristic
253C2×C4×C83C2×#4111yescharacteristic
254C2×C4×C83C2×#4111yescharacteristic
255C2×C4×C83C2×#4111yescharacteristic
256C2×C4×C83H(5,𝔽2)11yescharacteristic
257C2×C4×C832−1+411yescharacteristic
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—28no—
278C4×D83—22no—
279C4×D83—22no—
280C4×D83—22no—
281C4×D83—22no—
282C4×D83—44no—
283C4×D83—41no—
284C4×D83—41no—
285C4×D83—41no—
286C4×D83—41no—
287C8×C83—22no—
288C8×C83—41no—
289C8×C83—41no—
290C8×C83—41no—
291C83⋊C8—22no—
292C83⋊C8—41no—
293C83⋊C8—41no—
294C83⋊C8—41no—
295C22×C83C2×#11711yescharacteristic
296C22×C83C2×C4×D411yescharacteristic
297C22×C83#52011yescharacteristic
298C22×C83C2×#13111yescharacteristic
299C22×C83C2×#13111yescharacteristic
300C22×C83C2×#13111yescharacteristic
301C22×C83#56811yescharacteristic
302C2×D83—22no—
303C2×D83—22no—
304C2×D83—22no—
305C2×D83—22no—
306C2×D83—22no—
307C2×D83—22no—
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—22no—
317C4×C83—22no—
318C4×C83—41no—
319C4×C83—41no—
320C4×C83—41no—
321C4×C83—41no—
322C4×C83#54611yescharacteristic
323C4×C83#54811yescharacteristic
324C4×C83#55211yescharacteristic
325C4×C83#55311yescharacteristic
326Dic83—22no—
327Dic83—22no—
328Dic83—22no—
329Dic83—41no—
330Dic83—41no—
331Dic83—41no—
332#22752—831nomaximal, Sylow
333C2×C83#235211yescharacteristic
334C2×C83#292211yescharacteristic
335C2×C83#292411yescharacteristic
336C2×C83#292911yescharacteristic
337C2×C83#293311yescharacteristic
338C2×C83#299311yescharacteristic
339C2×C83#299411yescharacteristic
340D83—42no—
341D83—42no—
342C2×#431—831no—
343C2×#424—831no—
344#2290—831no—
345#1924—831no—
346#1923—831no—
347#1916—831no—
348#1916D8311yescharacteristic, complemented
349#1870—831no—
350#1869—831no—
351#1832—831no—
352#1798—831no—
353#1797—831no—
354#1768—831no—
355#1753—831no—
356C8×C22⋊C4—831no—
357C83#2275211yescharacteristic, complemented, Sylow
358C22×M16—831no—
359C23×C8—831no—
360C2×C4×D4—831no—
361C2×#117—831no—
362C22×C42—831no—
363#431—1664no—
364#424—1664no—
365C2×C4⋊C8—831no—
366C2×C4⋊C8—831no—
367C2×C4⋊C8—831no—
368C2×C4⋊C8—831no—
369C2×C4⋊C8—831no—
370C2×C4⋊C8C2×D8311yescharacteristic
371C2×C22⋊C8—831no—
372C2×C22⋊C8—831no—
373C2×C22⋊C8—831no—
374C2×C22⋊C8—831no—
375C2×C22⋊C8—831no—
376C2×C22⋊C8—831no—
377C2×#97—831no—
378C2×C4×C8—831no—
379C2×C4×C8—831no—
380C2×C4×C8C2×D8311yescharacteristic
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—3321no—
409C2×M16—1662no—
410C2×M16—1662no—
411C22×C8—3321no—
412C22×C8—831no—
413C22×C8—831no—
414C22×C8—831no—
415C22×C8—831no—
416C22×C8—1662no—
417C22×C8—1662no—
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—834no—
450C4⋊C8—1662no—
451C4⋊C8—1662no—
452C4⋊C8—1662no—
453C4⋊C8—1662no—
454C22⋊C8—3321no—
455C22⋊C8—3321no—
456C22⋊C8—1662no—
457C22⋊C8—1662no—
458C22⋊C8—1662no—
459C22⋊C8—1662no—
460#97—3321no—
461C4×C8—22no—
462C4×C8—3321no—
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—1662no—
478C2×D4—1662no—
479C22×C4—3321no—
480C22×C4—831no—
481C22×C4—831no—
482C22×C4—831no—
483C22×C4—832no—
484C22×C4—832no—
485C22×C4—831no—
486C22×C4—831no—
487C22×C4—831no—
488C22×C4—1662no—
489C22×C4—1662no—
490C22×C4—1662no—
491C22×C4—1662no—
492C22×C4—1661no—
493C22×C4—1661no—
494C22×C4—1661no—
495C22×C4—1661no—
496C22×C4—1661no—
497C22×C4—1661no—
498C22×C4—1662no—
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—3324no—
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—21no—
521C2×C8—21no—
522C2×C8—3324no—
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×C8—1661no—
535C2×C8D4×D8312yes—
536C4⋊C4—22no—
537C4⋊C4—22no—
538C4⋊C4—1662no—
539C4⋊C4—1662no—
540C4⋊C4—1662no—
541C22⋊C4—3321no—
542C22⋊C4—1662no—
543C22⋊C4—1662no—
544C22⋊C4—1662no—
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—832no—
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—3324no—
594C2×C4—3321no—
595C2×C4—3321no—
596C2×C4—3321no—
597C2×C4—3321no—
598C2×C4—832no—
599C2×C4—832no—
600C2×C4—832no—
601C2×C4—1668no—
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—1661no—
616C2×C4—1661no—
617C2×C4—1662no—
618C2×C4—1662no—
619C2×C4—1662no—
620C2×C4—1662no—
621C2×C4#1458179812yes—
622C2×C4#1458180012yes—
623C2×C4C2×D4×D8311yescharacteristic
624C2×C4#41×D8311yescharacteristic
625C2×C4#41×D8311yescharacteristic
626C2×C4#41×D8311yescharacteristic
627C2×C4#1458183811yescharacteristic
628C2×C4#1458184011yescharacteristic
629C8—22no—
630C8—41no—
631C8—41no—
632C8—41no—
633C8—3321no—
634C8—3321no—
635C8—3321no—
636C8—1662no—
637C22—3321no—
638C22—3321no—
639C22—3321no—
640C22—3321no—
641C22—3321no—
642C22—3321no—
643C22—3321no—
644C22—3321no—
645C22—1662no—
646C22—1662no—
647C22—1662no—
648C22—1662no—
649C22—1662no—
650C22—1662no—
651C22#117×D8311yescharacteristic
652C22C4×D4×D8311yescharacteristic
653C22#1912818311yescharacteristic
654C22#131×D8311yescharacteristic
655C22C2×#1458179811yescharacteristic
656C22C2×#1458180011yescharacteristic
657C22#1912846611yescharacteristic
658C4—22no—
659C4—22no—
660C4—41no—
661C4—41no—
662C4—41no—
663C4—41no—
664C4—3321no—
665C4—3321no—
666C4—3321no—
667C4—1662no—
668C4—1662no—
669C4—1662no—
670C4#1912834311yescharacteristic
671C4#1912836111yescharacteristic
672C4#1912838311yescharacteristic
673C4#1912840211yescharacteristic
674C2—3322no—
675C2—3322no—
676C2#2491038711yescharacteristic
677C2#2491610211yescharacteristic
678C2#2491611911yescharacteristic
679C2#2491615411yescharacteristic
680C2#2491618311yescharacteristic
681C2#2491661511yescharacteristic
682C2#2491662211yescharacteristic
subgroupG/H
center, FrattiniC22×C4C23×D83
commutator, socleC23×C83C23×C4
FittingC83×#1916C2
prime radicalC22×D332C2×C4
cosocleC22×C4×C83C24
hypercenter#1916D83
hypocenterC83#22752
LCSG ▷ C23×C83 ▷ C83
UCSC1 ◁ C22×C4 ◁ #1916

Complements

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

NH ≅ G/Ntype
1. C2×#19127752C2semidirect
2. C2×#19127726C2semidirect
4. #24908075C2semidirect
5. #24908070C2semidirect
6. #24908022C2semidirect
9. #24907581C2semidirect
10. #24907446C2semidirect
11. #24907442C2semidirect
12. #24907319C2semidirect
13. #24907246C2semidirect
14. #24907233C2semidirect
15. C83×#1916C2semidirect
101. Dic83⋊C8D4semidirect
348. #1916D83semidirect
357. C83#22752semidirect

Maximal subgroups

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

subgroupindex
C2×#191277522
C2×#191277262
#249099042
#249080752
#249080702
#249080222
#249077592
#249077542
#249075812
#249074462
#249074422
#249073192
#249072462
#249072332
C83×#19162
#2275283