Finite Group Databasebeta

← #35328232

Subgroups — #35328232

Order 21248.

1566 conjugacy classes of subgroups.

The subgroup lattice has 680 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×#14581783C211yesmaximal, characteristic
2C2×C4⋊C4×Dic83C211yesmaximal, characteristic
3#24905730C212yesmaximal
4#24905713C212yesmaximal
5#24905698C212yesmaximal
6#24905693C211yesmaximal, characteristic
7#24905692C211yesmaximal, characteristic
8#24905692C211yesmaximal, characteristic
9#24905692C212yesmaximal
10C4×C83⋊#95C211yesmaximal, characteristic
11C2×#389×C83C211yesmaximal, characteristic
12C2×#14581783—24no—
13C2×#14581783—24no—
14C2×#14581783C418yescomplemented
15C22×C4⋊Dic83C2212yes—
16C22×C4⋊Dic83C2211yescharacteristic
17C22×C4⋊Dic83C2211yescharacteristic
18C22×Dic83⋊C4C2212yes—
19C22×C4×Dic83C2212yes—
20C22×C4×Dic83C2211yescharacteristic
21C22×C4×Dic83C2211yescharacteristic
22C4⋊C4×Dic83—24no—
23C2×C83⋊#95C2211yescharacteristic
24C2×C83⋊#95C2212yes—
25C2×C83⋊#95C2212yes—
26C2×C83⋊#95C2211yescharacteristic
27C2×C83⋊#95C2211yescharacteristic
28C2×C83⋊#95C2211yescharacteristic
29C2×C83⋊#95C2212yes—
30C2×C83⋊#95C2212yes—
31C2×C83⋊#95C2212yes—
32C2×C83⋊#95C2212yes—
33C2×C83⋊#95C2212yes—
34C22×C4⋊C4×C83C2211yescharacteristic
35C22×C4⋊C4×C83C2212yes—
36C22×C4⋊C4×C83C2211yescharacteristic
37C22×C42×C83C2211yescharacteristic
38#389×C83—24no—
39C2×#95×C83C2212yes—
40C23×Dic83C2311yescharacteristic
41C23×Dic83C2311yescharacteristic
42C23×Dic83C2312yes—
43C23×Dic83C2312yes—
44C23×Dic83C2311yescharacteristic
45C23×Dic83C2311yescharacteristic
46#14581783—232no—
47C2×C4⋊Dic83—22no—
48C2×C4⋊Dic83—24no—
49C2×C4⋊Dic83—22no—
50C2×C4⋊Dic83—24no—
51C2×C4⋊Dic83—22no—
52C2×C4⋊Dic83—22no—
53C2×C4⋊Dic83C2×C418yes—
54C2×C4⋊Dic83C2×C414yes—
55C2×C4⋊Dic83Q814yes—
56C2×Dic83⋊C4—24no—
57C2×Dic83⋊C4—24no—
58C2×Dic83⋊C4C2×C418yes—
59C2×C4×Dic83—24no—
60C2×C4×Dic83—22no—
61C2×C4×Dic83—22no—
62C2×C4×Dic83—22no—
63C2×C4×Dic83—24no—
64C2×C4×Dic83—22no—
65C2×C4×Dic83—42no—
66C2×C4×Dic83C2×C414yes—
67C2×C4×Dic83Q814yes—
68C83⋊#95—22no—
69C83⋊#95—22no—
70C83⋊#95—24no—
71C83⋊#95—24no—
72C83⋊#95—22no—
73C83⋊#95—22no—
74C83⋊#95—24no—
75C83⋊#95—42no—
76C83⋊#95—42no—
77C83⋊#95—42no—
78C83⋊#95—42no—
79C23×C4×C83C2312yes—
80C23×C4×C83C2311yescharacteristic
81C23×C4×C83C2311yescharacteristic
82C23×C4×C83C2312yes—
83C23×C4×C83C2311yescharacteristic
84C2×C4⋊C4×C83—24no—
85C2×C4⋊C4×C83—22no—
86C2×C4⋊C4×C83—24no—
87C2×C4⋊C4×C83—22no—
88C2×C4⋊C4×C83—22no—
89C2×C4⋊C4×C83—42no—
90C2×C4⋊C4×C83C2×C414yes—
91C2×C4⋊C4×C83D414yes—
92C2×C4⋊C4×C83D414yes—
93C2×C42×C83—22no—
94C2×C42×C83—22no—
95C2×C42×C83—22no—
96#95×C83—24no—
97C22×Dic83—21no—
98C22×Dic83—21no—
99C22×Dic83—21no—
100C22×Dic83—21no—
101C22×Dic83—21no—
102C22×Dic83—22no—
103C22×Dic83—21no—
104C22×Dic83—21no—
105C22×Dic83—21no—
106C22×Dic83—21no—
107C22×Dic83—22no—
108C22×Dic83—22no—
109C22×Dic83—21no—
110C22×Dic83—21no—
111C22×Dic83—22no—
112C22×Dic83—21no—
113C22×Dic83—21no—
114C22×Dic83—21no—
115C22×Dic83—22no—
116C22×Dic83—21no—
117C22×Dic83—22no—
118C22×Dic83—22no—
119C22×Dic83—21no—
120C22×Dic83—22no—
121C22×Dic83—21no—
122C22×Dic83—21no—
123C22×Dic83—22no—
124C22×Dic83—21no—
125C22×Dic83—22no—
126C22×Dic83—22no—
127C22×Dic83—21no—
128C22×Dic83—21no—
129C22×Dic83—21no—
130C22×Dic83—22no—
131C22×Dic83C22×C412yes—
132C22×Dic83C22×C412yes—
133C22×Dic83C22×C414yes—
134C22×Dic83C2×Q812yes—
135C22×Dic83C2×Q814yes—
136C22×Dic83C2×Q812yes—
137C22×Dic83#4112yes—
138C22×Dic83#4112yes—
139C4⋊Dic83—216no—
140C4⋊Dic83—28no—
141C4⋊Dic83—28no—
142Dic83⋊C4—216no—
143C4×Dic83—28no—
144C4×Dic83—28no—
145C4×Dic83—48no—
146C24×C83C2411yescharacteristic
147C22×C4×C83—22no—
148C22×C4×C83—22no—
149C22×C4×C83—22no—
150C22×C4×C83—22no—
151C22×C4×C83—21no—
152C22×C4×C83—21no—
153C22×C4×C83—21no—
154C22×C4×C83—21no—
155C22×C4×C83—21no—
156C22×C4×C83—21no—
157C22×C4×C83—21no—
158C22×C4×C83—21no—
159C22×C4×C83—21no—
160C22×C4×C83—21no—
161C22×C4×C83—21no—
162C22×C4×C83—21no—
163C22×C4×C83—22no—
164C22×C4×C83—22no—
165C22×C4×C83—22no—
166C22×C4×C83—22no—
167C22×C4×C83—22no—
168C22×C4×C83—22no—
169C22×C4×C83—22no—
170C22×C4×C83C22×C414yes—
171C22×C4×C83C22×C412yes—
172C22×C4×C83C2×D414yes—
173C22×C4×C83C2×D412yes—
174C22×C4×C83C2×D414yes—
175C22×C4×C83C2×D412yes—
176C22×C4×C83C2×Q812yes—
177C22×C4×C83C2×Q812yes—
178C22×C4×C83#4112yes—
179C22×C4×C83#4112yes—
180C22×C4×C83#4112yes—
181C22×C4×C83#4112yes—
182C4⋊C4×C83—48no—
183C4⋊C4×C83—44no—
184C4⋊C4×C83C22⋊C4116yes—
185C42×C83—44no—
186C23×C83C23×C411yescharacteristic
187C23×C83C22×D411yescharacteristic
188C23×C83C22×D411yescharacteristic
189C23×C83C22×Q811yescharacteristic
190C23×C83C22×Q811yescharacteristic
191C23×C83C2×#4111yescharacteristic
192C23×C83C2×#4111yescharacteristic
193C23×C83C2×#4111yescharacteristic
194C23×C83C2×#4111yescharacteristic
195C23×C83C2×#4111yescharacteristic
196C23×C83C2×#4111yescharacteristic
197C23×C83H(5,𝔽2)11yescharacteristic
198C23×C83H(5,𝔽2)11yescharacteristic
199C23×C832−1+411yescharacteristic
200C23×C832−1+411yescharacteristic
201C2×C4×C83—24no—
202C2×C4×C83—24no—
203C2×C4×C83—24no—
204C2×C4×C83—24no—
205C2×C4×C83—24no—
206C2×C4×C83—24no—
207C2×C4×C83—22no—
208C2×C4×C83—22no—
209C2×C4×C83—22no—
210C2×C4×C83—22no—
211C2×C4×C83—22no—
212C2×C4×C83—22no—
213C2×C4×C83—41no—
214C2×C4×C83—41no—
215C2×C4×C83—41no—
216C2×C4×C83—41no—
217C2×C4×C83—41no—
218C2×C4×C83—41no—
219C2×C4×C83—41no—
220C2×C4×C83—41no—
221C2×C4×C83—42no—
222C2×C4×C83—42no—
223C2×C4×C83—42no—
224C2×C4×C83—42no—
225C2×C4×C83—42no—
226C2×C4×C83—42no—
227C2×C4×C83—42no—
228C2×C4×C83C2×C22⋊C418yes—
229C2×C4×C83C2×C22⋊C414yes—
230C2×C4×C83C4×Q814yes—
231C2×C4×C83C4×Q814yes—
232C2×C4×C83C22⋊Q814yes—
233C2×C4×C83C22⋊Q814yes—
234C2×C4×C83#12414yes—
235C2×C4×C83C4⋊Q814yes—
236C2×Dic83—22no—
237C2×Dic83—22no—
238C2×Dic83—22no—
239C2×Dic83—22no—
240C2×Dic83—22no—
241C2×Dic83—22no—
242C2×Dic83—22no—
243C2×Dic83—22no—
244C2×Dic83—24no—
245C2×Dic83—22no—
246C2×Dic83—22no—
247C2×Dic83—24no—
248C2×Dic83—22no—
249C2×Dic83—22no—
250C2×Dic83—24no—
251C2×Dic83—22no—
252C2×Dic83—24no—
253C2×Dic83—22no—
254C2×Dic83—22no—
255C2×Dic83—24no—
256C2×Dic83—24no—
257C2×Dic83—42no—
258C2×Dic83—42no—
259C2×Dic83—42no—
260C2×Dic83—41no—
261C2×Dic83—41no—
262C2×Dic83—41no—
263C2×Dic83—41no—
264C2×Dic83—41no—
265C2×Dic83—41no—
266C2×Dic83—42no—
267C2×Dic83—41no—
268C2×Dic83—42no—
269C2×Dic83—41no—
270C2×Dic83—42no—
271C2×Dic83—41no—
272C2×Dic83—42no—
273C2×Dic83—41no—
274C2×Dic83—42no—
275C2×Dic83—41no—
276C2×Dic83—41no—
277C2×Dic83#12514yescomplemented
278C22×C83C22×C22⋊C411yescharacteristic
279C22×C83C2×C4×Q811yescharacteristic
280C22×C83C2×C4×Q811yescharacteristic
281C22×C83C4×#4111yescharacteristic
282C22×C83C4×#4111yescharacteristic
283C22×C83#52011yescharacteristic
284C22×C83#52011yescharacteristic
285C22×C83C2×C22⋊Q811yescharacteristic
286C22×C83C2×C22⋊Q811yescharacteristic
287C22×C83C2×#12411yescharacteristic
288C22×C83C2×#12511yescharacteristic
289C22×C83#52911yescharacteristic
290C22×C83#52911yescharacteristic
291C22×C83C2×C4⋊Q811yescharacteristic
292C22×C83#53311yescharacteristic
293C22×C83#54011yescharacteristic
294C22×C83#54111yescharacteristic
295C22×C83#54411yescharacteristic
296C22×C83#54411yescharacteristic
297C22×C83#54611yescharacteristic
298C22×C83#54611yescharacteristic
299C22×C83#54711yescharacteristic
300C22×C83#54711yescharacteristic
301C22×C83#54811yescharacteristic
302C22×C83#54811yescharacteristic
303C22×C83#55011yescharacteristic
304C22×C83#55011yescharacteristic
305C22×C83#55211yescharacteristic
306C22×C83#55211yescharacteristic
307C22×C83#55311yescharacteristic
308C22×C83#55311yescharacteristic
309C22×C83#55411yescharacteristic
310C22×C83#55411yescharacteristic
311C22×C83#55711yescharacteristic
312C22×C83#55711yescharacteristic
313C4×C83—28no—
314C4×C83—42no—
315C4×C83—42no—
316C4×C83—82no—
317C4×C83#39118yes—
318Dic83—24no—
319Dic83—42no—
320Dic83—42no—
321Dic83—44no—
322Dic83—42no—
323Dic83—44no—
324#14054—831nomaximal, Sylow
325C2×C83C2×#39111yescharacteristic
326C2×C83C4×#12511yescharacteristic
327C2×C83#233011yescharacteristic
328C2×C83#233911yescharacteristic
329C2×C83#234111yescharacteristic
330C2×C83#237011yescharacteristic
331C2×C83#237011yescharacteristic
332C2×C83#244111yescharacteristic
333C2×C83#244211yescharacteristic
334C2×C83#245311yescharacteristic
335C2×C83#245411yescharacteristic
336C2×C83#248911yescharacteristic
337C2×C83#249011yescharacteristic
338C2×C83#255011yescharacteristic
339C2×C83#255211yescharacteristic
340C22×#125—831no—
341C2×#389D8311yescharacteristic
342C2×C4×C4⋊C4—831no—
343#1445—832no—
344#1441—832no—
345#1436—832no—
346C4⋊#95—831no—
347C4⋊#95—831no—
348C4⋊#95—832no—
349C4⋊#95—831no—
350C4×#95—831no—
351C83#1405411yescharacteristic, complemented, Sylow
352C2×#125—838no—
353C2×#125—1664no—
354C2×#125—1664no—
355C22×C4⋊C4—832no—
356C22×C4⋊C4—831no—
357C22×C4⋊C4—832no—
358C22×C4⋊C4—831no—
359C22×C4⋊C4C2×D8311yescharacteristic
360C22×C4⋊C4C2×D8312yes—
361C22×C4⋊C4C2×D8311yescharacteristic
362C22×C42—832no—
363C22×C42—831no—
364C22×C42—831no—
365C22×C42C2×D8311yescharacteristic
366#389—24no—
367C4×C4⋊C4—1664no—
368C2×#95—832no—
369C2×#95—832no—
370C2×#95—832no—
371C2×#95—832no—
372C2×#95—831no—
373C2×#95—831no—
374C2×#95—831no—
375C2×#95—831no—
376C2×#95—832no—
377C2×#95—832no—
378C2×#95—832no—
379C2×#95C2×D8312yes—
380C23×C4—831no—
381C23×C4—832no—
382C23×C4—831no—
383C23×C4—831no—
384C23×C4—832no—
385C23×C4—831no—
386C23×C4C22×D8312yes—
387C23×C4C22×D8311yescharacteristic
388C23×C4C22×D8311yescharacteristic
389C23×C4C22×D8312yes—
390C23×C4C22×D8311yescharacteristic
391#125—16632no—
392C2×C4⋊C4—24no—
393C2×C4⋊C4—22no—
394C2×C4⋊C4—24no—
395C2×C4⋊C4—22no—
396C2×C4⋊C4—22no—
397C2×C4⋊C4—42no—
398C2×C4⋊C4—838no—
399C2×C4⋊C4—838no—
400C2×C4⋊C4—834no—
401C2×C4⋊C4—834no—
402C2×C4⋊C4—1664no—
403C2×C4⋊C4—1664no—
404C2×C4⋊C4—1662no—
405C2×C4⋊C4—1664no—
406C2×C4⋊C4—1664no—
407C2×C4⋊C4—1662no—
408C2×C4⋊C4—1662no—
409C2×C4⋊C4—1662no—
410C2×C4⋊C4C4×D8314yes—
411C2×C4⋊C4D33214yes—
412C2×C4⋊C4C22⋊D8314yes—
413C2×C42—22no—
414C2×C42—22no—
415C2×C42—22no—
416C2×C42—3322no—
417C2×C42—834no—
418C2×C42—834no—
419C2×C42—1664no—
420C2×C42—1664no—
421C2×C42—1662no—
422C2×C42—1662no—
423C2×C42—1662no—
424C2×C42—1662no—
425#95—24no—
426#95—3322no—
427#95—3322no—
428#95—3322no—
429#95—3322no—
430#95—1662no—
431#95—1662no—
432#95—1664no—
433#95—1664no—
434#95—1662no—
435#95—1662no—
436#95—1664no—
437C24C23×D8311yescharacteristic
438C22×C4—22no—
439C22×C4—22no—
440C22×C4—22no—
441C22×C4—22no—
442C22×C4—21no—
443C22×C4—21no—
444C22×C4—21no—
445C22×C4—21no—
446C22×C4—21no—
447C22×C4—21no—
448C22×C4—21no—
449C22×C4—21no—
450C22×C4—21no—
451C22×C4—21no—
452C22×C4—21no—
453C22×C4—21no—
454C22×C4—22no—
455C22×C4—22no—
456C22×C4—22no—
457C22×C4—22no—
458C22×C4—22no—
459C22×C4—22no—
460C22×C4—22no—
461C22×C4—832no—
462C22×C4—832no—
463C22×C4—832no—
464C22×C4—832no—
465C22×C4—832no—
466C22×C4—834no—
467C22×C4—832no—
468C22×C4—834no—
469C22×C4—1661no—
470C22×C4—1661no—
471C22×C4—1662no—
472C22×C4—1661no—
473C22×C4—1662no—
474C22×C4—1661no—
475C22×C4—1661no—
476C22×C4—1662no—
477C22×C4—1661no—
478C22×C4—1662no—
479C22×C4—1661no—
480C22×C4—1662no—
481C22×C4—1661no—
482C22×C4—1661no—
483C22×C4—1661no—
484C22×C4—1662no—
485C22×C4—1662no—
486C22×C4—1661no—
487C22×C4—1661no—
488C22×C4—1662no—
489C22×C4—1661no—
490C22×C4—1662no—
491C22×C4—1662no—
492C22×C4—1661no—
493C22×C4—1661no—
494C22×C4—1662no—
495C22×C4—1661no—
496C22×C4—1661no—
497C22×C4—1662no—
498C22×C4—1661no—
499C22×C4—1661no—
500C22×C4—1661no—
501C22×C4—1661no—
502C22×C4—1661no—
503C22×C4C2×C4×D8314yes—
504C22×C4C2×C4×D8312yes—
505C22×C4C2×C22⋊D8314yes—
506C22×C4C2×C22⋊D8312yes—
507C22×C4C2×D33214yes—
508C22×C4C2×D33212yes—
509C22×C4Q8×D8312yes—
510C22×C4Q8×D8312yes—
511C22×C4#1305058912yes—
512C22×C4#1305058912yes—
513C22×C4#1305058912yes—
514C22×C4#1305059112yes—
515C4⋊C4—48no—
516C4⋊C4—44no—
517C4⋊C4—1668no—
518C4⋊C4—16616no—
519C4⋊C4—16616no—
520C4⋊C4—1668no—
521C4⋊C4(C2×D83)⋊C4116yes—
522C42—44no—
523C42—3328no—
524C42—1668no—
525C42—1668no—
526C23C22×C4×D8311yescharacteristic
527C23C22×C22⋊D8311yescharacteristic
528C23C22×D33211yescharacteristic
529C23C2×Q8×D8311yescharacteristic
530C23C2×Q8×D8311yescharacteristic
531C23#41×D8311yescharacteristic
532C23#41×D8311yescharacteristic
533C23C2×#1305058911yescharacteristic
534C23C2×#1305058911yescharacteristic
535C23C2×#1305058911yescharacteristic
536C23C2×#1305059111yescharacteristic
537C23#1458183711yescharacteristic
538C23#1458183811yescharacteristic
539C23#1458183911yescharacteristic
540C23#1458184011yescharacteristic
541C2×C4—24no—
542C2×C4—24no—
543C2×C4—24no—
544C2×C4—24no—
545C2×C4—24no—
546C2×C4—24no—
547C2×C4—22no—
548C2×C4—22no—
549C2×C4—22no—
550C2×C4—22no—
551C2×C4—22no—
552C2×C4—22no—
553C2×C4—41no—
554C2×C4—41no—
555C2×C4—41no—
556C2×C4—41no—
557C2×C4—41no—
558C2×C4—41no—
559C2×C4—41no—
560C2×C4—41no—
561C2×C4—42no—
562C2×C4—42no—
563C2×C4—42no—
564C2×C4—42no—
565C2×C4—42no—
566C2×C4—42no—
567C2×C4—42no—
568C2×C4—3321no—
569C2×C4—3322no—
570C2×C4—3321no—
571C2×C4—3321no—
572C2×C4—3321no—
573C2×C4—3321no—
574C2×C4—3321no—
575C2×C4—3322no—
576C2×C4—3321no—
577C2×C4—3322no—
578C2×C4—3321no—
579C2×C4—3322no—
580C2×C4—3321no—
581C2×C4—3321no—
582C2×C4—3322no—
583C2×C4—3322no—
584C2×C4—3321no—
585C2×C4—3321no—
586C2×C4—3322no—
587C2×C4—3322no—
588C2×C4—834no—
589C2×C4—1662no—
590C2×C4—1662no—
591C2×C4—1662no—
592C2×C4—1664no—
593C2×C4—1664no—
594C2×C4—1664no—
595C2×C4—1662no—
596C2×C4—1662no—
597C2×C4—1664no—
598C2×C4—1662no—
599C2×C4—1662no—
600C2×C4—1664no—
601C2×C4—1662no—
602C2×C4—1664no—
603C2×C4—1662no—
604C2×C4—1662no—
605C2×C4—1662no—
606C2×C4—1662no—
607C2×C4—1662no—
608C2×C4—1662no—
609C2×C4—1662no—
610C2×C4C2×(C2×D83)⋊C418yes—
611C2×C4C2×(C2×D83)⋊C414yes—
612C2×C4#1458175714yes—
613C2×C4#1458175714yes—
614C2×C4#1458177214yes—
615C2×C4#1458177214yes—
616C2×C4#1458177914yes—
617C2×C4#1458179014yes—
618C22C22×(C2×D83)⋊C411yescharacteristic
619C22C2×#1458175711yescharacteristic
620C22C2×#1458175711yescharacteristic
621C22C4×#1305058911yescharacteristic
622C22C4×#1305059111yescharacteristic
623C22#1912818011yescharacteristic
624C22#1912818311yescharacteristic
625C22C2×#1458177211yescharacteristic
626C22C2×#1458177211yescharacteristic
627C22C2×#1458177911yescharacteristic
628C22#125×D8311yescharacteristic
629C22#1912823211yescharacteristic
630C22#1912823711yescharacteristic
631C22C2×#1458179011yescharacteristic
632C22#1912825611yescharacteristic
633C22#1912830411yescharacteristic
634C22#1912831111yescharacteristic
635C22#1912832811yescharacteristic
636C22#1912833111yescharacteristic
637C22#1912834511yescharacteristic
638C22#1912834611yescharacteristic
639C22#1912835011yescharacteristic
640C22#1912835511yescharacteristic
641C22#1912836211yescharacteristic
642C22#1912836311yescharacteristic
643C22#1912837011yescharacteristic
644C22#1912837311yescharacteristic
645C22#1912838511yescharacteristic
646C22#1912839311yescharacteristic
647C22#1912839811yescharacteristic
648C22#1912840311yescharacteristic
649C22#1912840711yescharacteristic
650C22#1912841211yescharacteristic
651C22#1912842611yescharacteristic
652C22#1912842811yescharacteristic
653C4—28no—
654C4—42no—
655C4—42no—
656C4—82no—
657C4—3322no—
658C4—3322no—
659C4—3322no—
660C4—3324no—
661C4—3324no—
662C4—1664no—
663C4#1912760618yes—
664C2C2×#1912760611yescharacteristic
665C2#2491002211yescharacteristic
666C2#2491020311yescharacteristic
667C2#2491028811yescharacteristic
668C2#2491030111yescharacteristic
669C2#2491055811yescharacteristic
670C2#2491056411yescharacteristic
671C2#2491117411yescharacteristic
672C2#2491118511yescharacteristic
673C2#2491132211yescharacteristic
674C2#2491133311yescharacteristic
675C2#2491180611yescharacteristic
676C2#2491181711yescharacteristic
677C2#2491248011yescharacteristic
678C2#2491249511yescharacteristic
subgroupG/H
center, FrattiniC24C23×D83
commutatorC23×C83C23×C4
FittingC2×#389×C83C2
socle, prime radical, cosocleC24×C83C24
hypercenterC2×#389D83
hypocenterC83#14054
LCSG ▷ C23×C83 ▷ C83
UCSC1 ◁ C24 ◁ C2×#389

Complements

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

NH ≅ G/Ntype
14. C2×#14581783C4semidirect
277. C2×Dic83#125semidirect
351. C83#14054semidirect

Maximal subgroups

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

subgroupindex
C22×#145817832
C2×C4⋊C4×Dic832
#249057302
#249057132
#249056982
#249056932
#249056922
C4×C83⋊#952
C2×#389×C832
#1405483