Finite Group Databasebeta

← C4×#19127593 #35325564

Subgroups — C4×#19127593 #35325564

Order 21248.

2134 conjugacy classes of subgroups.

The subgroup lattice has 706 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#19127593C212yesmaximal
2C2×C4×C4⋊Dic83C211yesmaximal, characteristic, complemented
3C2×C4×(C2×D83)⋊C4C211yesmaximal, characteristic
4C2×C4×(C2×D83)⋊C4C211yesmaximal, characteristic
5C2×C4×(C2×D83)⋊C4C211yesmaximal, characteristic
6C2×C42×Dic83C211yesmaximal, characteristic, complemented
7#24905699C212yesmaximal
8#24905697C212yesmaximal, complemented
9#24905687C212yesmaximal, complemented
10C4×C83⋊#95C211yesmaximal, characteristic, complemented
11C4×#95×C83C211yesmaximal, characteristic, complemented
12C23×C4×D83C2211yescharacteristic
13C22×C4⋊Dic83C2212yes—
14C22×(C2×D83)⋊C4C2212yes—
15C22×(C2×D83)⋊C4C2212yes—
16C22×(C2×D83)⋊C4C2211yescharacteristic
17C22×(C2×D83)⋊C4C2211yescharacteristic
18C22×C4×Dic83C2211yescharacteristic
19C22×C4×Dic83C2212yes—
20C22×C4×Dic83C2211yescharacteristic
21C22×C4×Dic83C2212yes—
22C22×C4×Dic83C2211yescharacteristic
23#19127593C4116yesdirect product factor
24C4×C4⋊Dic83—24no—
25C4×(C2×D83)⋊C4—24no—
26C4×(C2×D83)⋊C4—24no—
27C4×(C2×D83)⋊C4C418yescomplemented
28C2×C83⋊#95C2212yes—
29C2×C83⋊#95C2212yes—
30C2×C83⋊#95C2212yes—
31C2×C83⋊#95C2212yes—
32C2×C83⋊#95C2211yescharacteristic
33C2×C83⋊#95C2211yescharacteristic
34C2×C83⋊#95C2212yes—
35C42×Dic83—24no—
36C22×C42×C83C2211yescharacteristic
37C22×C42×C83C2211yescharacteristic
38C22×C42×C83C2211yescharacteristic
39C2×#95×C83C2212yes—
40C2×#95×C83C2212yes—
41C24×D83C2311yescharacteristic
42C23×Dic83C2312yes—
43C23×Dic83C2311yescharacteristic
44C23×Dic83C2311yescharacteristic
45C23×Dic83C2312yes—
46C23×Dic83C2311yescharacteristic
47C22×C4×D83—22no—
48C22×C4×D83—22no—
49C22×C4×D83—22no—
50C22×C4×D83—22no—
51C22×C4×D83—22no—
52C22×C4×D83—22no—
53C22×C4×D83C2×C414yes—
54C2×C4⋊Dic83—24no—
55C2×C4⋊Dic83—24no—
56C2×C4⋊Dic83C2×C418yescomplemented
57C2×(C2×D83)⋊C4—24no—
58C2×(C2×D83)⋊C4—24no—
59C2×(C2×D83)⋊C4—24no—
60C2×(C2×D83)⋊C4—24no—
61C2×(C2×D83)⋊C4—24no—
62C2×(C2×D83)⋊C4C2×C418yes—
63C2×(C2×D83)⋊C4C2×C418yes—
64C2×(C2×D83)⋊C4C2×C414yes—
65C2×(C2×D83)⋊C4C2×C418yes—
66C2×(C2×D83)⋊C4C2×C414yes—
67C2×C4×Dic83—24no—
68C2×C4×Dic83—24no—
69C2×C4×Dic83—24no—
70C2×C4×Dic83—24no—
71C2×C4×Dic83—22no—
72C2×C4×Dic83—22no—
73C2×C4×Dic83—22no—
74C2×C4×Dic83—22no—
75C2×C4×Dic83—24no—
76C2×C4×Dic83—22no—
77C2×C4×Dic83—22no—
78C2×C4×Dic83—22no—
79C2×C4×Dic83C2×C414yes—
80C2×C4×Dic83C2×C418yescomplemented
81C2×C4×Dic83D414yes—
82C83⋊#95—24no—
83C83⋊#95—24no—
84C83⋊#95—24no—
85C83⋊#95—24no—
86C83⋊#95C2×C414yes—
87C83⋊#95C2×C414yes—
88C83⋊#95C2×C418yescomplemented
89C23×C4×C83C2311yescharacteristic
90C23×C4×C83C2312yes—
91C23×C4×C83C2311yescharacteristic
92C23×C4×C83C2312yes—
93C23×C4×C83C2311yescharacteristic
94C2×C42×C83—22no—
95C2×C42×C83—22no—
96C2×C42×C83—22no—
97C2×C42×C83—22no—
98C2×C42×C83—22no—
99C2×C42×C83—22no—
100C2×C42×C83—22no—
101C2×C42×C83C2×C414yes—
102C2×C42×C83D414yes—
103#95×C83—24no—
104#95×C83C2×C418yescomplemented
105C23×D83—21no—
106C23×D83—21no—
107C23×D83—21no—
108C23×D83—21no—
109C23×D83—21no—
110C23×D83—21no—
111C23×D83—22no—
112C23×D83—22no—
113C23×D83—22no—
114C23×D83C22×C412yes—
115C23×D83C22×C414yes—
116C22×Dic83—21no—
117C22×Dic83—22no—
118C22×Dic83—21no—
119C22×Dic83—22no—
120C22×Dic83—22no—
121C22×Dic83—21no—
122C22×Dic83—22no—
123C22×Dic83—21no—
124C22×Dic83—22no—
125C22×Dic83—22no—
126C22×Dic83—21no—
127C22×Dic83—21no—
128C22×Dic83—22no—
129C22×Dic83—22no—
130C22×Dic83—21no—
131C22×Dic83—21no—
132C22×Dic83—21no—
133C22×Dic83—21no—
134C22×Dic83—22no—
135C22×Dic83—22no—
136C22×Dic83—22no—
137C22×Dic83—22no—
138C22×Dic83C22×C412yes—
139C22×Dic83C22×C414yes—
140C22×Dic83C22×C412yes—
141C22×Dic83C22×C414yes—
142C22×Dic83C22×C412yes—
143C22×Dic83C22×C414yes—
144C22×Dic83C2×D414yes—
145C22×Dic83#4114yes—
146C22×Dic83#4114yes—
147C2×C4×D83—28no—
148C2×C4×D83—28no—
149C2×C4×D83—28no—
150C2×C4×D83—44no—
151C2×C4×D83—44no—
152C2×C4×D83—44no—
153C2×C4×D83—44no—
154C4⋊Dic83—216no—
155(C2×D83)⋊C4—216no—
156(C2×D83)⋊C4—28no—
157(C2×D83)⋊C4—216no—
158(C2×D83)⋊C4C42116yescomplemented
159C4×Dic83—216no—
160C4×Dic83—28no—
161C4×Dic83—216no—
162C4×Dic83—28no—
163C4×Dic83—44no—
164C24×C83C2411yescharacteristic
165C22×C4×C83—21no—
166C22×C4×C83—21no—
167C22×C4×C83—22no—
168C22×C4×C83—22no—
169C22×C4×C83—22no—
170C22×C4×C83—22no—
171C22×C4×C83—22no—
172C22×C4×C83—21no—
173C22×C4×C83—22no—
174C22×C4×C83—22no—
175C22×C4×C83—22no—
176C22×C4×C83—21no—
177C22×C4×C83—22no—
178C22×C4×C83—22no—
179C22×C4×C83—22no—
180C22×C4×C83—22no—
181C22×C4×C83—22no—
182C22×C4×C83C22×C414yes—
183C22×C4×C83C22×C412yes—
184C22×C4×C83C22×C414yes—
185C22×C4×C83C22×C412yes—
186C22×C4×C83C22×C414yes—
187C22×C4×C83C22×C412yes—
188C22×C4×C83C2×D412yes—
189C22×C4×C83C2×D414yes—
190C22×C4×C83C2×D412yes—
191C22×C4×C83#4112yes—
192C22×C4×C83#4112yes—
193C22×C4×C83#4114yes—
194C22×C4×C83#4112yes—
195C22×C4×C83#4112yes—
196C42×C83—28no—
197C42×C83—28no—
198C42×C83—44no—
199C23×C83C23×C411yescharacteristic
200C23×C83C23×C412yes—
201C23×C83C22×D411yescharacteristic
202C23×C83C22×D411yescharacteristic
203C23×C83C2×#4112yes—
204C23×C83C2×#4112yes—
205C23×C83C2×#4111yescharacteristic
206C23×C83C2×#4111yescharacteristic
207C23×C83C2×#4111yescharacteristic
208C23×C83C2×#4112yes—
209C23×C83C2×#4111yescharacteristic
210C22×D83—22no—
211C22×D83—22no—
212C22×D83—24no—
213C22×D83—24no—
214C22×D83—22no—
215C22×D83—22no—
216C22×D83—24no—
217C22×D83—24no—
218C22×D83—22no—
219C22×D83—24no—
220C22×D83—22no—
221C22×D83—24no—
222C22×D83—41no—
223C22×D83—41no—
224C22×D83—42no—
225C22×D83—41no—
226C22×D83—41no—
227C22×D83—42no—
228C22×D83—42no—
229C22×D83—42no—
230C22×D83—42no—
231C22×D83—42no—
232C22×D83C2×C4214yes—
233C2×C4×C83—22no—
234C2×C4×C83—24no—
235C2×C4×C83—24no—
236C2×C4×C83—24no—
237C2×C4×C83—24no—
238C2×C4×C83—22no—
239C2×C4×C83—24no—
240C2×C4×C83—24no—
241C2×C4×C83—24no—
242C2×C4×C83—24no—
243C2×C4×C83—22no—
244C2×C4×C83—22no—
245C2×C4×C83—24no—
246C2×C4×C83—24no—
247C2×C4×C83—22no—
248C2×C4×C83—24no—
249C2×C4×C83—42no—
250C2×C4×C83—42no—
251C2×C4×C83—42no—
252C2×C4×C83—42no—
253C2×C4×C83—42no—
254C2×C4×C83—42no—
255C2×C4×C83C2×C4214yes—
256C2×C4×C83#11714yes—
257C2×C4×C83C4×D414yes—
258C2×C4×C83C4×D418yes—
259C2×C4×C83C4×D414yes—
260C2×C4×C83#12114yes—
261C2×C4×C83#12314yes—
262C2×C4×C83#12414yes—
263C2×C4×C83#12614yes—
264C2×Dic83—22no—
265C2×Dic83—24no—
266C2×Dic83—22no—
267C2×Dic83—24no—
268C2×Dic83—22no—
269C2×Dic83—24no—
270C2×Dic83—22no—
271C2×Dic83—24no—
272C2×Dic83—24no—
273C2×Dic83—24no—
274C2×Dic83—24no—
275C2×Dic83—24no—
276C2×Dic83—24no—
277C2×Dic83—24no—
278C2×Dic83—22no—
279C2×Dic83—24no—
280C2×Dic83—24no—
281C2×Dic83—22no—
282C2×Dic83—22no—
283C2×Dic83—24no—
284C2×Dic83—42no—
285C2×Dic83—41no—
286C2×Dic83—41no—
287C2×Dic83—42no—
288C2×Dic83—41no—
289C2×Dic83—41no—
290C2×Dic83—42no—
291C2×Dic83—42no—
292C2×Dic83C2×C4214yes—
293C2×Dic83#11714yes—
294C2×Dic83C4×D418yes—
295C4×D83—416no—
296C22×C83C22×C4211yescharacteristic
297C22×C83C2×#11711yescharacteristic
298C22×C83C2×#11711yescharacteristic
299C22×C83C2×C4×D412yes—
300C22×C83C2×C4×D411yescharacteristic
301C22×C83C2×C4×D411yescharacteristic
302C22×C83C2×C4×D412yes—
303C22×C83C4×#4112yes—
304C22×C83C4×#4112yes—
305C22×C83C4×#4111yescharacteristic
306C22×C83C4×#4112yes—
307C22×C83C4×#4111yescharacteristic
308C22×C83C4×#4112yes—
309C22×C83C2×#12111yescharacteristic
310C22×C83C2×#12311yescharacteristic
311C22×C83#52512yes—
312C22×C83C2×#12411yescharacteristic
313C22×C83C2×#12611yescharacteristic
314C22×C83#52912yes—
315C22×C83#52912yes—
316C22×C83#52912yes—
317C22×C83#52912yes—
318C22×C83#53212yes—
319C2×D83—24no—
320C2×D83—24no—
321C2×D83—24no—
322C2×D83—44no—
323C2×D83—42no—
324C2×D83—42no—
325C2×D83—42no—
326C2×D83—42no—
327C2×D83—44no—
328C2×D83—44no—
329C2×D83—44no—
330C4×C83—24no—
331C4×C83—28no—
332C4×C83—42no—
333C4×C83—44no—
334C4×C83#38818yescomplemented
335Dic83—24no—
336Dic83—24no—
337Dic83—28no—
338Dic83—42no—
339Dic83—44no—
340C4×#388—831nomaximal, Sylow
341C2×C83C4×#11711yescharacteristic
342C2×C83C42×D411yescharacteristic
343C2×C83C42×D411yescharacteristic
344C2×C83C2×#38811yescharacteristic
345C2×C83#229011yescharacteristic
346C2×C83#229311yescharacteristic
347C2×C83#229811yescharacteristic
348C2×C83C4×#12112yes—
349C2×C83C4×#12312yes—
350C2×C83C4×#12412yes—
351C2×C83C4×#12612yes—
352D83—44no—
353C2×#388—832no—
354C2×C4×C4⋊C4—831no—
355C2×C4×C22⋊C4—831no—
356C2×C4×C22⋊C4—831no—
357C2×C4×C22⋊C4—831no—
358C2×C43—831no—
359#1437—832no—
360#1436—832no—
361#1434—832no—
362C4×#95—831no—
363C4×#95D8311yescharacteristic, complemented
364C83C4×#38811yescharacteristic, complemented, Sylow
365C24×C4—831no—
366C22×C4⋊C4—832no—
367C22×C22⋊C4—831no—
368C22×C22⋊C4—831no—
369C22×C22⋊C4—832no—
370C22×C22⋊C4—832no—
371C22×C42—832no—
372C22×C42—831no—
373C22×C42—831no—
374C22×C42—832no—
375C22×C42—831no—
376C22×C42C2×D8311yescharacteristic
377C22×C42C2×D8311yescharacteristic
378C22×C42C2×D8311yescharacteristic
379#388—8316no—
380C4×C4⋊C4—1664no—
381C4×C22⋊C4—838no—
382C4×C22⋊C4—1664no—
383C4×C22⋊C4—1664no—
384C2×#95—832no—
385C2×#95—831no—
386C2×#95—831no—
387C2×#95—832no—
388C2×#95—832no—
389C2×#95—832no—
390C2×#95—832no—
391C2×#95C2×D8312yes—
392C2×#95C2×D8312yes—
393C43—1664no—
394C25—831no—
395C23×C4—832no—
396C23×C4—831no—
397C23×C4—831no—
398C23×C4—832no—
399C23×C4—831no—
400C23×C4—834no—
401C23×C4—1662no—
402C23×C4—1662no—
403C23×C4—1662no—
404C23×C4—1662no—
405C23×C4—1662no—
406C23×C4—1662no—
407C23×C4C22×D8311yescharacteristic
408C23×C4C22×D8312yes—
409C23×C4C22×D8311yescharacteristic
410C23×C4C22×D8312yes—
411C23×C4C22×D8311yescharacteristic
412C2×C4⋊C4—838no—
413C2×C4⋊C4—1664no—
414C2×C4⋊C4—1664no—
415C2×C22⋊C4—834no—
416C2×C22⋊C4—838no—
417C2×C22⋊C4—834no—
418C2×C22⋊C4—838no—
419C2×C22⋊C4—838no—
420C2×C22⋊C4—1664no—
421C2×C22⋊C4—1664no—
422C2×C22⋊C4—1664no—
423C2×C22⋊C4—1664no—
424C2×C22⋊C4—1664no—
425C2×C42—22no—
426C2×C42—22no—
427C2×C42—22no—
428C2×C42—22no—
429C2×C42—22no—
430C2×C42—22no—
431C2×C42—22no—
432C2×C42—834no—
433C2×C42—838no—
434C2×C42—834no—
435C2×C42—1662no—
436C2×C42—1662no—
437C2×C42—1662no—
438C2×C42—1664no—
439C2×C42—1664no—
440C2×C42—1664no—
441C2×C42—1662no—
442C2×C42—1664no—
443C2×C42—1662no—
444C2×C42—1664no—
445C2×C42—1662no—
446C2×C42—1662no—
447C2×C42C4×D8314yes—
448C2×C42D33214yes—
449#95—24no—
450#95—834no—
451#95—834no—
452#95—838no—
453#95—1664no—
454#95—1664no—
455#95—1664no—
456#95—1664no—
457#95C4×D8318yescomplemented
458C24—834no—
459C24—832no—
460C24—1661no—
461C24—1661no—
462C24—1662no—
463C24—1662no—
464C24—1661no—
465C24—1661no—
466C24—1662no—
467C24—1661no—
468C24—1661no—
469C24C23×D8311yescharacteristic
470C22×C4—21no—
471C22×C4—22no—
472C22×C4—22no—
473C22×C4—22no—
474C22×C4—21no—
475C22×C4—22no—
476C22×C4—22no—
477C22×C4—21no—
478C22×C4—22no—
479C22×C4—22no—
480C22×C4—22no—
481C22×C4—22no—
482C22×C4—21no—
483C22×C4—22no—
484C22×C4—22no—
485C22×C4—22no—
486C22×C4—22no—
487C22×C4—3324no—
488C22×C4—3324no—
489C22×C4—3324no—
490C22×C4—3324no—
491C22×C4—832no—
492C22×C4—834no—
493C22×C4—832no—
494C22×C4—834no—
495C22×C4—834no—
496C22×C4—834no—
497C22×C4—834no—
498C22×C4—832no—
499C22×C4—834no—
500C22×C4—1661no—
501C22×C4—1662no—
502C22×C4—1661no—
503C22×C4—1662no—
504C22×C4—1662no—
505C22×C4—1662no—
506C22×C4—1661no—
507C22×C4—1661no—
508C22×C4—1662no—
509C22×C4—1661no—
510C22×C4—1662no—
511C22×C4—1661no—
512C22×C4—1668no—
513C22×C4—1668no—
514C22×C4—1668no—
515C22×C4—1661no—
516C22×C4—1662no—
517C22×C4—1661no—
518C22×C4—1662no—
519C22×C4—1662no—
520C22×C4—1661no—
521C22×C4—1662no—
522C22×C4—1661no—
523C22×C4—1662no—
524C22×C4—1662no—
525C22×C4C2×C4×D8314yes—
526C22×C4C2×C4×D8312yes—
527C22×C4C2×C4×D8312yes—
528C22×C4C2×C4×D8314yes—
529C22×C4C2×C4×D8314yes—
530C22×C4C2×C4×D8312yes—
531C22×C4D4×D8312yes—
532C22×C4C2×D33214yes—
533C22×C4C2×D33212yes—
534C22×C4#1305058912yes—
535C22×C4#1305058912yes—
536C22×C4#1305059014yes—
537C22×C4#1305059012yes—
538C22×C4#1305059112yes—
539C4⋊C4—16616no—
540C22⋊C4—8316no—
541C22⋊C4—1668no—
542C22⋊C4—16616no—
543C22⋊C4—16616no—
544C42—28no—
545C42—28no—
546C42—44no—
547C42—3324no—
548C42—16616no—
549C42—1668no—
550C42—16616no—
551C42—1668no—
552C23—3321no—
553C23—3321no—
554C23—3322no—
555C23—3321no—
556C23—3321no—
557C23—3322no—
558C23—3322no—
559C23—3322no—
560C23—3322no—
561C23—3322no—
562C23—834no—
563C23—1662no—
564C23—1662no—
565C23—1664no—
566C23—1662no—
567C23—1664no—
568C23—1662no—
569C23—1664no—
570C23—1664no—
571C23—1662no—
572C23—1662no—
573C23—1664no—
574C23—1664no—
575C23C22×C4×D8311yescharacteristic
576C23C22×C4×D8312yes—
577C23C2×D4×D8311yescharacteristic
578C23C22×D33211yescharacteristic
579C23#41×D8312yes—
580C23#41×D8312yes—
581C23C2×#1305058911yescharacteristic
582C23C2×#1305058911yescharacteristic
583C23C2×#1305059011yescharacteristic
584C23C2×#1305059012yes—
585C23C2×#1305059111yescharacteristic
586C2×C4—24no—
587C2×C4—22no—
588C2×C4—24no—
589C2×C4—24no—
590C2×C4—24no—
591C2×C4—22no—
592C2×C4—24no—
593C2×C4—24no—
594C2×C4—24no—
595C2×C4—24no—
596C2×C4—22no—
597C2×C4—24no—
598C2×C4—22no—
599C2×C4—24no—
600C2×C4—22no—
601C2×C4—24no—
602C2×C4—42no—
603C2×C4—42no—
604C2×C4—42no—
605C2×C4—42no—
606C2×C4—42no—
607C2×C4—42no—
608C2×C4—3322no—
609C2×C4—3321no—
610C2×C4—3321no—
611C2×C4—3322no—
612C2×C4—3321no—
613C2×C4—3321no—
614C2×C4—3322no—
615C2×C4—3322no—
616C2×C4—33216no—
617C2×C4—834no—
618C2×C4—834no—
619C2×C4—838no—
620C2×C4—1662no—
621C2×C4—1664no—
622C2×C4—1662no—
623C2×C4—1664no—
624C2×C4—1662no—
625C2×C4—1664no—
626C2×C4—1662no—
627C2×C4—1664no—
628C2×C4—1662no—
629C2×C4—1664no—
630C2×C4—1662no—
631C2×C4—1662no—
632C2×C4—1664no—
633C2×C4—1664no—
634C2×C4—1664no—
635C2×C4—1664no—
636C2×C4—1664no—
637C2×C4—1664no—
638C2×C4—1664no—
639C2×C4—1664no—
640C2×C4C42×D8314yes—
641C2×C4#1458175014yes—
642C2×C4(C22⋊D83)⋊C414yes—
643C2×C4C4×D33218yes—
644C2×C4C4×D33214yes—
645C2×C4#1458176714yes—
646C2×C4#1458177614yes—
647C2×C4#1458177814yes—
648C2×C4#1458178714yes—
649C22—3322no—
650C22—3322no—
651C22—3322no—
652C22—3322no—
653C22—3324no—
654C22—3324no—
655C22—3324no—
656C22—3324no—
657C22—1664no—
658C22—1664no—
659C22—1664no—
660C22C2×C42×D8311yescharacteristic
661C22#117×D8311yescharacteristic
662C22C2×#1458175011yescharacteristic
663C22C4×D4×D8312yes—
664C22C2×(C22⋊D83)⋊C411yescharacteristic
665C22C2×C4×D33211yescharacteristic
666C22C2×C4×D33212yes—
667C22C4×#1305058912yes—
668C22C4×#1305058912yes—
669C22#1912816911yescharacteristic
670C22C4×#1305059011yescharacteristic
671C22C4×#1305059012yes—
672C22C4×#1305059112yes—
673C22C2×#1458176711yescharacteristic
674C22C2×#1458177611yescharacteristic
675C22#1912821312yes—
676C22C2×#1458177811yescharacteristic
677C22C2×#1458178711yescharacteristic
678C22#1912822912yes—
679C22#1912823112yes—
680C22#1912823112yes—
681C22#1912823812yes—
682C22#1912824812yes—
683C4—28no—
684C4—24no—
685C4—42no—
686C4—44no—
687C4—3322no—
688C4—3324no—
689C4—1664no—
690C4—1668no—
691C4—1664no—
692C4#1912759318yesdirect product factor
693C2—3324no—
694C2C4×#1458175011yescharacteristic
695C2C4×(C22⋊D83)⋊C411yescharacteristic
696C2C42×D33211yescharacteristic
697C2C2×#1912759311yescharacteristic
698C2#2490990711yescharacteristic
699C2#2490992611yescharacteristic
700C2#2490995611yescharacteristic
701C2C4×#1458176712yes—
702C2C4×#1458177612yes—
703C2C4×#1458177812yes—
704C2C4×#1458178712yes—
subgroupG/H
centerC23×C4C22×D83
commutatorC22×C83C22×C42
FrattiniC24C23×D83
FittingC4×#95×C83C2
socle, cosocleC24×C83C24
prime radicalC24×D83C23
hypercenterC4×#95D83
hypocenterC83C4×#388
LCSG ▷ C22×C83 ▷ C83
UCSC1 ◁ C23×C4 ◁ C4×#95

Complements

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

NH ≅ G/Ntype
2. C2×C4×C4⋊Dic83C2semidirect
6. C2×C42×Dic83C2semidirect
8. #24905697C2semidirect
9. #24905687C2semidirect
10. C4×C83⋊#95C2semidirect
11. C4×#95×C83C2semidirect
23. #19127593C4direct (N × H)
27. C4×(C2×D83)⋊C4C4semidirect
56. C2×C4⋊Dic83C2×C4semidirect
80. C2×C4×Dic83C2×C4semidirect
88. C83⋊#95C2×C4semidirect
104. #95×C83C2×C4semidirect
158. (C2×D83)⋊C4C42semidirect
334. C4×C83#388semidirect
363. C4×#95D83semidirect
364. C83C4×#388semidirect
457. #95C4×D83semidirect
692. C4#19127593direct (N × H)

Maximal subgroups

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

subgroupindex
C2×#191275932
C2×C4×C4⋊Dic832
C2×C4×(C2×D83)⋊C42
C2×C42×Dic832
#249056992
#249056972
#249056872
C4×C83⋊#952
C4×#95×C832
C4×#38883