Finite Group Databasebeta

← #35328091

Subgroups — #35328091

Order 21248.

1442 conjugacy classes of subgroups.

The subgroup lattice has 676 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#19127597C211yesmaximal, characteristic
2C2×#19127585C212yesmaximal
3C2×C4×Dic83⋊C4C211yesmaximal, characteristic
4#24905724C212yesmaximal
5#24905714C212yesmaximal
6#24905693C211yesmaximal, characteristic
7#24905692C211yesmaximal, characteristic
8#24905692C211yesmaximal, characteristic
9#24905692C211yesmaximal, characteristic
10#24905690C212yesmaximal
11C2×C4×C4⋊C4×C83C211yesmaximal, characteristic
12C22×C4⋊Dic83C2211yescharacteristic
13C22×C4⋊Dic83C2211yescharacteristic
14C22×Dic83⋊C4C2211yescharacteristic
15C22×Dic83⋊C4C2212yes—
16C22×Dic83⋊C4C2211yescharacteristic
17C22×C4×Dic83C2211yescharacteristic
18C22×C4×Dic83C2211yescharacteristic
19#19127597C418yescomplemented
20#19127585—28no—
21C4×Dic83⋊C4—24no—
22C2×C83⋊#95C2212yes—
23C2×C83⋊#95C2212yes—
24C2×C83⋊#95C2212yes—
25C2×C83⋊#95C2212yes—
26C2×C83⋊#95C2211yescharacteristic
27C2×C83⋊#95C2212yes—
28C2×C83⋊#95C2211yescharacteristic
29C2×C83⋊#95C2212yes—
30C2×C83⋊#95C2212yes—
31C2×C83⋊#95C2212yes—
32C2×C83⋊#95C2212yes—
33C22×C4⋊C4×C83C2211yescharacteristic
34C22×C4⋊C4×C83C2211yescharacteristic
35C22×C42×C83C2212yes—
36C22×C42×C83C2211yescharacteristic
37C4×C4⋊C4×C83—24no—
38C2×#95×C83C2212yes—
39C23×Dic83C2312yes—
40C23×Dic83C2311yescharacteristic
41C23×Dic83C2312yes—
42C23×Dic83C2311yescharacteristic
43C23×Dic83C2311yescharacteristic
44C23×Dic83C2311yescharacteristic
45C2×C4⋊Dic83—22no—
46C2×C4⋊Dic83—22no—
47C2×C4⋊Dic83—22no—
48C2×C4⋊Dic83—22no—
49C2×C4⋊Dic83—22no—
50C2×C4⋊Dic83C2×C414yes—
51C2×Dic83⋊C4—24no—
52C2×Dic83⋊C4—22no—
53C2×Dic83⋊C4—22no—
54C2×Dic83⋊C4—24no—
55C2×Dic83⋊C4—22no—
56C2×Dic83⋊C4—22no—
57C2×Dic83⋊C4—22no—
58C2×Dic83⋊C4C2×C418yes—
59C2×Dic83⋊C4D414yes—
60C2×C4×Dic83—22no—
61C2×C4×Dic83—22no—
62C2×C4×Dic83—22no—
63C2×C4×Dic83—22no—
64C2×C4×Dic83—22no—
65C2×C4×Dic83C2×C414yes—
66C83⋊#95—24no—
67C83⋊#95—24no—
68C83⋊#95—24no—
69C83⋊#95—24no—
70C83⋊#95—22no—
71C83⋊#95—22no—
72C83⋊#95—24no—
73C83⋊#95—42no—
74C83⋊#95—42no—
75C83⋊#95—42no—
76C83⋊#95C2×C418yes—
77C23×C4×C83C2312yes—
78C23×C4×C83C2311yescharacteristic
79C23×C4×C83C2312yes—
80C23×C4×C83C2311yescharacteristic
81C23×C4×C83C2311yescharacteristic
82C2×C4⋊C4×C83—22no—
83C2×C4⋊C4×C83—22no—
84C2×C4⋊C4×C83—22no—
85C2×C4⋊C4×C83—22no—
86C2×C4⋊C4×C83C2×C414yes—
87C2×C4⋊C4×C83Q814yes—
88C2×C42×C83—22no—
89C2×C42×C83—22no—
90C2×C42×C83—24no—
91C2×C42×C83—24no—
92C2×C42×C83—24no—
93C2×C42×C83D414yes—
94#95×C83—24no—
95C22×Dic83—21no—
96C22×Dic83—21no—
97C22×Dic83—21no—
98C22×Dic83—21no—
99C22×Dic83—21no—
100C22×Dic83—22no—
101C22×Dic83—21no—
102C22×Dic83—21no—
103C22×Dic83—21no—
104C22×Dic83—21no—
105C22×Dic83—21no—
106C22×Dic83—21no—
107C22×Dic83—21no—
108C22×Dic83—22no—
109C22×Dic83—21no—
110C22×Dic83—21no—
111C22×Dic83—22no—
112C22×Dic83—22no—
113C22×Dic83—21no—
114C22×Dic83—22no—
115C22×Dic83—21no—
116C22×Dic83—21no—
117C22×Dic83—21no—
118C22×Dic83—21no—
119C22×Dic83—21no—
120C22×Dic83—22no—
121C22×Dic83—21no—
122C22×Dic83—21no—
123C22×Dic83—22no—
124C22×Dic83—22no—
125C22×Dic83—22no—
126C22×Dic83—22no—
127C22×Dic83—22no—
128C22×Dic83—22no—
129C22×Dic83—22no—
130C22×Dic83C22×C412yes—
131C22×Dic83C22×C414yes—
132C22×Dic83C22×C412yes—
133C22×Dic83C2×D412yes—
134C22×Dic83C2×D412yes—
135C22×Dic83#4112yes—
136C22×Dic83#4112yes—
137C4⋊Dic83—28no—
138C4⋊Dic83—44no—
139Dic83⋊C4—28no—
140Dic83⋊C4—28no—
141Dic83⋊C4—216no—
142C4×Dic83—28no—
143C4×Dic83—44no—
144C24×C83C2411yescharacteristic
145C22×C4×C83—21no—
146C22×C4×C83—21no—
147C22×C4×C83—21no—
148C22×C4×C83—21no—
149C22×C4×C83—22no—
150C22×C4×C83—22no—
151C22×C4×C83—22no—
152C22×C4×C83—22no—
153C22×C4×C83—22no—
154C22×C4×C83—22no—
155C22×C4×C83—21no—
156C22×C4×C83—21no—
157C22×C4×C83—22no—
158C22×C4×C83—22no—
159C22×C4×C83—22no—
160C22×C4×C83—22no—
161C22×C4×C83—21no—
162C22×C4×C83—21no—
163C22×C4×C83—21no—
164C22×C4×C83—22no—
165C22×C4×C83—21no—
166C22×C4×C83—22no—
167C22×C4×C83C22×C414yes—
168C22×C4×C83C22×C412yes—
169C22×C4×C83C2×D412yes—
170C22×C4×C83C2×D412yes—
171C22×C4×C83C2×D412yes—
172C22×C4×C83C2×D412yes—
173C22×C4×C83C2×Q814yes—
174C22×C4×C83C2×Q812yes—
175C22×C4×C83#4112yes—
176C22×C4×C83#4112yes—
177C22×C4×C83#4112yes—
178C22×C4×C83#4112yes—
179C22×C4×C83#4112yes—
180C4⋊C4×C83—28no—
181C4⋊C4×C83—28no—
182C42×C83—28no—
183C42×C83—48no—
184C23×C83C23×C411yescharacteristic
185C23×C83C22×D411yescharacteristic
186C23×C83C22×D411yescharacteristic
187C23×C83C22×Q811yescharacteristic
188C23×C83C2×#4111yescharacteristic
189C23×C83C2×#4111yescharacteristic
190C23×C83C2×#4111yescharacteristic
191C23×C83C2×#4111yescharacteristic
192C23×C83C2×#4111yescharacteristic
193C23×C83C2×#4111yescharacteristic
194C23×C83C2×#4111yescharacteristic
195C23×C83H(5,𝔽2)11yescharacteristic
196C23×C832−1+411yescharacteristic
197C23×C832−1+411yescharacteristic
198C23×C832−1+411yescharacteristic
199C2×C4×C83—22no—
200C2×C4×C83—22no—
201C2×C4×C83—22no—
202C2×C4×C83—22no—
203C2×C4×C83—22no—
204C2×C4×C83—22no—
205C2×C4×C83—24no—
206C2×C4×C83—24no—
207C2×C4×C83—24no—
208C2×C4×C83—24no—
209C2×C4×C83—22no—
210C2×C4×C83—22no—
211C2×C4×C83—22no—
212C2×C4×C83—24no—
213C2×C4×C83—24no—
214C2×C4×C83—42no—
215C2×C4×C83—42no—
216C2×C4×C83—42no—
217C2×C4×C83—42no—
218C2×C4×C83—42no—
219C2×C4×C83—42no—
220C2×C4×C83—42no—
221C2×C4×C83—41no—
222C2×C4×C83—41no—
223C2×C4×C83—41no—
224C2×C4×C83—41no—
225C2×C4×C83—42no—
226C2×C4×C83#11714yes—
227C2×C4×C83C4×D414yes—
228C2×C4×C83C4×Q814yes—
229C2×C4×C83#12114yes—
230C2×C4×C83C22⋊Q814yes—
231C2×C4×C83#12314yes—
232C2×C4×C83#12514yes—
233C2×C4×C83#12614yes—
234C2×Dic83—22no—
235C2×Dic83—22no—
236C2×Dic83—22no—
237C2×Dic83—22no—
238C2×Dic83—22no—
239C2×Dic83—22no—
240C2×Dic83—24no—
241C2×Dic83—22no—
242C2×Dic83—24no—
243C2×Dic83—22no—
244C2×Dic83—22no—
245C2×Dic83—24no—
246C2×Dic83—22no—
247C2×Dic83—22no—
248C2×Dic83—22no—
249C2×Dic83—22no—
250C2×Dic83—22no—
251C2×Dic83—22no—
252C2×Dic83—41no—
253C2×Dic83—41no—
254C2×Dic83—41no—
255C2×Dic83—41no—
256C2×Dic83—41no—
257C2×Dic83—41no—
258C2×Dic83—41no—
259C2×Dic83—41no—
260C2×Dic83—42no—
261C2×Dic83—42no—
262C2×Dic83—41no—
263C2×Dic83—41no—
264C2×Dic83—42no—
265C2×Dic83—41no—
266C2×Dic83—41no—
267C2×Dic83—42no—
268C2×Dic83—42no—
269C2×Dic83—42no—
270C2×Dic83—42no—
271C2×Dic83—42no—
272C2×Dic83—42no—
273C2×Dic83—42no—
274C2×Dic83—42no—
275C2×Dic83C4×D414yes—
276C22×C83C2×#11711yescharacteristic
277C22×C83C2×C4×D411yescharacteristic
278C22×C83C2×C4×D411yescharacteristic
279C22×C83C2×C4×Q811yescharacteristic
280C22×C83C4×#4111yescharacteristic
281C22×C83#51911yescharacteristic
282C22×C83#52011yescharacteristic
283C22×C83C2×#12111yescharacteristic
284C22×C83C2×C22⋊Q811yescharacteristic
285C22×C83C2×#12311yescharacteristic
286C22×C83#52511yescharacteristic
287C22×C83C2×#12511yescharacteristic
288C22×C83C2×#12611yescharacteristic
289C22×C83#52911yescharacteristic
290C22×C83#53211yescharacteristic
291C22×C83#53611yescharacteristic
292C22×C83#53711yescharacteristic
293C22×C83#54111yescharacteristic
294C22×C83#54211yescharacteristic
295C22×C83#54711yescharacteristic
296C22×C83#54711yescharacteristic
297C22×C83D4×Q811yescharacteristic
298C22×C83#55011yescharacteristic
299C22×C83#55211yescharacteristic
300C22×C83#55211yescharacteristic
301C22×C83#55211yescharacteristic
302C22×C83#55311yescharacteristic
303C22×C83#55411yescharacteristic
304C22×C83#55511yescharacteristic
305C22×C83#55611yescharacteristic
306C22×C83#55611yescharacteristic
307C22×C83#55611yescharacteristic
308C22×C83#55611yescharacteristic
309C22×C83#55711yescharacteristic
310C22×C83#55711yescharacteristic
311C4×C83—24no—
312C4×C83—42no—
313C4×C83—44no—
314C4×C83—44no—
315C4×C83#38718yescomplemented
316Dic83—24no—
317Dic83—42no—
318Dic83—44no—
319Dic83—42no—
320Dic83—42no—
321Dic83—82no—
322#14042—831nomaximal, Sylow
323C2×C83C2×#38711yescharacteristic
324C2×C83C4×#12111yescharacteristic
325C2×C83#232311yescharacteristic
326C2×C83#235411yescharacteristic
327C2×C83#235611yescharacteristic
328C2×C83#236511yescharacteristic
329C2×C83#237011yescharacteristic
330C2×C83#248511yescharacteristic
331C2×C83#248611yescharacteristic
332C2×C83#250611yescharacteristic
333C2×C83#250811yescharacteristic
334C2×C83#251211yescharacteristic
335C2×C83#251411yescharacteristic
336C2×C83#253811yescharacteristic
337C2×C83#258111yescharacteristic
338C2×#389—831no—
339C2×#387—832no—
340C2×C4×C4⋊C4—831no—
341C2×C4×C4⋊C4D8311yescharacteristic
342#1443—832no—
343#1441—832no—
344C4⋊#95—831no—
345C4⋊#95—831no—
346C4⋊#95—831no—
347C4⋊#95—831no—
348#1434—832no—
349C83#1404211yescharacteristic, complemented, Sylow
350C22×C4⋊C4—832no—
351C22×C4⋊C4—831no—
352C22×C4⋊C4—831no—
353C22×C4⋊C4—831no—
354C22×C4⋊C4—831no—
355C22×C4⋊C4C2×D8311yescharacteristic
356C22×C4⋊C4C2×D8311yescharacteristic
357C22×C42—831no—
358C22×C42—831no—
359C22×C42C2×D8312yes—
360C22×C42C2×D8311yescharacteristic
361#389—838no—
362#387—1668no—
363C4×C4⋊C4—24no—
364C4×C4⋊C4—1664no—
365C2×#95—832no—
366C2×#95—832no—
367C2×#95—832no—
368C2×#95—832no—
369C2×#95—831no—
370C2×#95—832no—
371C2×#95—832no—
372C2×#95—832no—
373C2×#95—832no—
374C2×#95—832no—
375C2×#95—831no—
376C2×#95C2×D8312yes—
377C23×C4—831no—
378C23×C4—832no—
379C23×C4—831no—
380C23×C4—831no—
381C23×C4—831no—
382C23×C4—832no—
383C23×C4C22×D8312yes—
384C23×C4C22×D8311yescharacteristic
385C23×C4C22×D8312yes—
386C23×C4C22×D8311yescharacteristic
387C23×C4C22×D8311yescharacteristic
388C2×C4⋊C4—22no—
389C2×C4⋊C4—22no—
390C2×C4⋊C4—22no—
391C2×C4⋊C4—22no—
392C2×C4⋊C4—838no—
393C2×C4⋊C4—834no—
394C2×C4⋊C4—834no—
395C2×C4⋊C4—1662no—
396C2×C4⋊C4—1662no—
397C2×C4⋊C4—1662no—
398C2×C4⋊C4—1664no—
399C2×C4⋊C4—1664no—
400C2×C4⋊C4—1662no—
401C2×C4⋊C4—1662no—
402C2×C4⋊C4—1662no—
403C2×C4⋊C4—1662no—
404C2×C4⋊C4—1662no—
405C2×C4⋊C4—1662no—
406C2×C4⋊C4—1662no—
407C2×C4⋊C4Dic16614yes—
408C2×C4⋊C4C4×D8314yes—
409C2×C42—22no—
410C2×C42—22no—
411C2×C42—24no—
412C2×C42—24no—
413C2×C42—24no—
414C2×C42—834no—
415C2×C42—1662no—
416C2×C42—1662no—
417C2×C42—1662no—
418C2×C42—1662no—
419C2×C42—1662no—
420C2×C42C22⋊D8314yes—
421#95—24no—
422#95—3322no—
423#95—3322no—
424#95—3322no—
425#95—838no—
426#95—1664no—
427#95—1664no—
428#95—1664no—
429#95—1664no—
430#95—1664no—
431#95—1662no—
432#95—1662no—
433C24C23×D8311yescharacteristic
434C22×C4—21no—
435C22×C4—21no—
436C22×C4—21no—
437C22×C4—21no—
438C22×C4—22no—
439C22×C4—22no—
440C22×C4—22no—
441C22×C4—22no—
442C22×C4—22no—
443C22×C4—22no—
444C22×C4—21no—
445C22×C4—21no—
446C22×C4—22no—
447C22×C4—22no—
448C22×C4—21no—
449C22×C4—21no—
450C22×C4—22no—
451C22×C4—22no—
452C22×C4—22no—
453C22×C4—21no—
454C22×C4—22no—
455C22×C4—21no—
456C22×C4—832no—
457C22×C4—832no—
458C22×C4—832no—
459C22×C4—832no—
460C22×C4—834no—
461C22×C4—832no—
462C22×C4—832no—
463C22×C4—1662no—
464C22×C4—1662no—
465C22×C4—1662no—
466C22×C4—1662no—
467C22×C4—1662no—
468C22×C4—1662no—
469C22×C4—1662no—
470C22×C4—1662no—
471C22×C4—1661no—
472C22×C4—1661no—
473C22×C4—1661no—
474C22×C4—1661no—
475C22×C4—1662no—
476C22×C4—1661no—
477C22×C4—1661no—
478C22×C4—1661no—
479C22×C4—1661no—
480C22×C4—1661no—
481C22×C4—1661no—
482C22×C4—1662no—
483C22×C4—1662no—
484C22×C4—1661no—
485C22×C4—1662no—
486C22×C4—1661no—
487C22×C4—1661no—
488C22×C4—1661no—
489C22×C4—1661no—
490C22×C4—1662no—
491C22×C4—1661no—
492C22×C4—1661no—
493C22×C4—1661no—
494C22×C4—1661no—
495C22×C4—1661no—
496C22×C4—1661no—
497C22×C4—1661no—
498C22×C4C2×C4×D8314yes—
499C22×C4C2×C4×D8312yes—
500C22×C4D4×D8312yes—
501C22×C4C2×C22⋊D8312yes—
502C22×C4C2×C22⋊D8312yes—
503C22×C4C2×C22⋊D8312yes—
504C22×C4C2×Dic16614yes—
505C22×C4C2×Dic16612yes—
506C22×C4#1305058912yes—
507C22×C4#1305059012yes—
508C22×C4#1305059012yes—
509C22×C4#1305059012yes—
510C22×C4#1305059012yes—
511C4⋊C4—28no—
512C4⋊C4—28no—
513C4⋊C4—3324no—
514C4⋊C4—16616no—
515C4⋊C4—1668no—
516C4⋊C4—1668no—
517C4⋊C4—1668no—
518C42—28no—
519C42—48no—
520C42—3324no—
521C42—1668no—
522C23C22×C4×D8311yescharacteristic
523C23C2×D4×D8311yescharacteristic
524C23C22×C22⋊D8311yescharacteristic
525C23C22×Dic16611yescharacteristic
526C23#41×D8311yescharacteristic
527C23#41×D8311yescharacteristic
528C23C2×#1305058911yescharacteristic
529C23C2×#1305059011yescharacteristic
530C23C2×#1305059011yescharacteristic
531C23C2×#1305059011yescharacteristic
532C23C2×#1305059011yescharacteristic
533C23#1458183811yescharacteristic
534C23#1458183911yescharacteristic
535C23#1458184011yescharacteristic
536C23#1458184011yescharacteristic
537C2×C4—22no—
538C2×C4—22no—
539C2×C4—22no—
540C2×C4—22no—
541C2×C4—22no—
542C2×C4—22no—
543C2×C4—24no—
544C2×C4—24no—
545C2×C4—24no—
546C2×C4—24no—
547C2×C4—24no—
548C2×C4—24no—
549C2×C4—22no—
550C2×C4—22no—
551C2×C4—22no—
552C2×C4—42no—
553C2×C4—41no—
554C2×C4—41no—
555C2×C4—41no—
556C2×C4—41no—
557C2×C4—42no—
558C2×C4—42no—
559C2×C4—42no—
560C2×C4—42no—
561C2×C4—42no—
562C2×C4—42no—
563C2×C4—42no—
564C2×C4—3321no—
565C2×C4—3322no—
566C2×C4—3322no—
567C2×C4—3321no—
568C2×C4—3321no—
569C2×C4—3322no—
570C2×C4—3321no—
571C2×C4—3321no—
572C2×C4—3322no—
573C2×C4—3321no—
574C2×C4—3321no—
575C2×C4—3321no—
576C2×C4—3321no—
577C2×C4—3321no—
578C2×C4—3321no—
579C2×C4—3321no—
580C2×C4—3322no—
581C2×C4—3322no—
582C2×C4—3322no—
583C2×C4—3322no—
584C2×C4—3322no—
585C2×C4—3322no—
586C2×C4—3322no—
587C2×C4—834no—
588C2×C4—1662no—
589C2×C4—1662no—
590C2×C4—1662no—
591C2×C4—1662no—
592C2×C4—1664no—
593C2×C4—1664no—
594C2×C4—1662no—
595C2×C4—1662no—
596C2×C4—1662no—
597C2×C4—1664no—
598C2×C4—1662no—
599C2×C4—1662no—
600C2×C4—1662no—
601C2×C4—1662no—
602C2×C4—1662no—
603C2×C4—1662no—
604C2×C4—1662no—
605C2×C4—1662no—
606C2×C4#1458174914yes—
607C2×C4C4×C22⋊D8314yes—
608C2×C4C4×Dic16614yes—
609C2×C4#1458176314yes—
610C2×C4#1458177114yes—
611C2×C4#1458177514yes—
612C2×C4#1458178414yes—
613C2×C4#1458178614yes—
614C22C2×#1458174911yescharacteristic
615C22C4×D4×D8311yescharacteristic
616C22C2×C4×C22⋊D8311yescharacteristic
617C22C2×C4×Dic16611yescharacteristic
618C22C4×#1305058911yescharacteristic
619C22#1912817711yescharacteristic
620C22#1912818311yescharacteristic
621C22C2×#1458176311yescharacteristic
622C22C2×#1458177111yescharacteristic
623C22C2×#1458177511yescharacteristic
624C22#1912820811yescharacteristic
625C22C2×#1458178411yescharacteristic
626C22C2×#1458178611yescharacteristic
627C22#1912823311yescharacteristic
628C22#1912824811yescharacteristic
629C22#1912827511yescharacteristic
630C22#1912827911yescharacteristic
631C22#1912830911yescharacteristic
632C22#1912832311yescharacteristic
633C22#1912835211yescharacteristic
634C22#1912835211yescharacteristic
635C22D4×Dic16611yescharacteristic
636C22#1912837211yescharacteristic
637C22#1912838611yescharacteristic
638C22#1912838611yescharacteristic
639C22#1912839011yescharacteristic
640C22#1912839511yescharacteristic
641C22#1912840811yescharacteristic
642C22#1912841411yescharacteristic
643C22#1912841911yescharacteristic
644C22#1912842111yescharacteristic
645C22#1912842311yescharacteristic
646C22#1912842311yescharacteristic
647C22#1912842711yescharacteristic
648C22#1912842711yescharacteristic
649C4—24no—
650C4—44no—
651C4—42no—
652C4—44no—
653C4—3322no—
654C4—3324no—
655C4—3322no—
656C4—3322no—
657C4—6642no—
658C4—1664no—
659C4#1912758518yescomplemented
660C2C2×#1912758511yescharacteristic
661C2C4×#1458176311yescharacteristic
662C2#2491013911yescharacteristic
663C2#2491040811yescharacteristic
664C2#2491042411yescharacteristic
665C2#2491052211yescharacteristic
666C2#2491056111yescharacteristic
667C2#2491175411yescharacteristic
668C2#2491176511yescharacteristic
669C2#2491197311yescharacteristic
670C2#2491199511yescharacteristic
671C2#2491204311yescharacteristic
672C2#2491206511yescharacteristic
673C2#2491238511yescharacteristic
674C2#2491282511yescharacteristic
subgroupG/H
center, FrattiniC24C23×D83
commutatorC23×C83C23×C4
FittingC2×C4×C4⋊C4×C83C2
socle, prime radical, cosocleC24×C83C24
hypercenterC2×C4×C4⋊C4D83
hypocenterC83#14042
LCSG ▷ C23×C83 ▷ C83
UCSC1 ◁ C24 ◁ C2×C4×C4⋊C4

Complements

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

NH ≅ G/Ntype
19. #19127597C4semidirect
315. C4×C83#387semidirect
349. C83#14042semidirect
659. C4#19127585semidirect

Maximal subgroups

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

subgroupindex
C2×#191275972
C2×#191275852
C2×C4×Dic83⋊C42
#249057242
#249057142
#249056932
#249056922
#249056902
C2×C4×C4⋊C4×C832
#1404283