Finite Group Databasebeta

← C2×#24918763 #36276643

Subgroups — C2×#24918763 #36276643

Order 21248.

1742 conjugacy classes of subgroups.

The subgroup lattice has 702 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#19128329C211yesmaximal, characteristic, complemented
2C2×#19128322C211yesmaximal, characteristic
3#24918763C2116yesmaximal, direct product factor
4C2×#19128110C211yesmaximal, characteristic, complemented
5C2×#19128099C211yesmaximal, characteristic, complemented
6C2×#19128061C211yesmaximal, characteristic, complemented
7C2×#19128056C211yesmaximal, characteristic, complemented
8C2×#19128020C211yesmaximal, characteristic
9C2×#19128043C211yesmaximal, characteristic, complemented
10C2×#19128026C211yesmaximal, characteristic
11C2×#19128032C211yesmaximal, characteristic, complemented
12C2×#19128009C211yesmaximal, characteristic, complemented
13C2×#19127987C211yesmaximal, characteristic, complemented
14C2×#19128002C211yesmaximal, characteristic, complemented
15C2×#19127992C211yesmaximal, characteristic, complemented
16C2×#433×C83C211yesmaximal, characteristic, complemented
17#19128329—24no—
18#19128329C2218yescomplemented
19#19128322—24no—
20#19128322C2218yes—
21C2×#14581792C2211yescharacteristic
22C2×#14581792C2211yescharacteristic
23C2×#14581792C2211yescharacteristic
24C2×#14581791—21no—
25C2×#14581787—21no—
26C2×#14581784C2211yescharacteristic
27C2×#14581784C2211yescharacteristic
28C2×#14581783—21no—
29C2×#14581780C2211yescharacteristic
30C2×#14581778—21no—
31C2×#14581774—21no—
32C2×#14581771C2211yescharacteristic
33C2×#14581770—21no—
34C2×#14581769—21no—
35C2×#14581769—21no—
36C2×#14581766C2211yescharacteristic
37C2×C4×Dic166C2211yescharacteristic
38C2×C4×D332C2211yescharacteristic
39C2×#14581751C2211yescharacteristic
40C22×C4⋊Dic83C2211yescharacteristic
41#19128110C2218yescomplemented
42#19128099C2218yescomplemented
43#19128061C2218yescomplemented
44#19128056C2218yescomplemented
45#19128043C2218yescomplemented
46#19128032C2218yescomplemented
47#19128026C2218yes—
48#19128020C2218yes—
49#19128009C2218yescomplemented
50#19128002C2218yescomplemented
51#19127992C2218yescomplemented
52#19127987C2218yescomplemented
53C2×#14581726C2211yescharacteristic
54C2×#14581726C2211yescharacteristic
55C2×#14581724C2211yescharacteristic
56C2×#14581724C2211yescharacteristic
57C2×#14581724C2211yescharacteristic
58C2×#14581724C2211yescharacteristic
59C2×#14581724C2211yescharacteristic
60C2×#14581724C2211yescharacteristic
61C2×#14581717C2211yescharacteristic
62C2×#14581717C2211yescharacteristic
63C2×#14581717C2211yescharacteristic
64C2×#14581717C2211yescharacteristic
65C2×#14581714C2211yescharacteristic
66C2×#14581714C2211yescharacteristic
67C2×#14581714C2211yescharacteristic
68C2×#14581714C2211yescharacteristic
69C2×#117×C83C2211yescharacteristic
70#433×C83C2218yescomplemented
71C2×C4⋊C8×C83C2211yescharacteristic
72C2×C4⋊C8×C83C2211yescharacteristic
73C2×C22⋊C8×C83C2211yescharacteristic
74C2×C22⋊C8×C83C2211yescharacteristic
75C2×#97×C83C2211yescharacteristic
76C2×C4×C8×C83C2211yescharacteristic
77C22×Dic166—21no—
78C22×Dic166—21no—
79C22×Dic166—21no—
80C22×Dic166C2311yescharacteristic
81C22×D332C2311yescharacteristic
82C22×C22⋊D83—21no—
83C23×Dic83—21no—
84C22×C4×D83—21no—
85#14581792—22no—
86#14581792—22no—
87#14581792—22no—
88#14581792C2314yes—
89#14581792C2314yes—
90#14581792C2314yes—
91#14581791—28no—
92#14581787—28no—
93#14581784—22no—
94#14581784—22no—
95#14581784C2314yes—
96#14581784C2314yes—
97#14581783—28no—
98#14581780—22no—
99#14581780C2314yes—
100#14581778—28no—
101#14581774—28no—
102#14581771—22no—
103#14581771C2314yes—
104#14581770—28no—
105#14581769—28no—
106#14581769—28no—
107#14581766—22no—
108#14581766C2314yes—
109C4×Dic166—22no—
110C4×Dic166C2314yes—
111C4×D332—22no—
112C4×D332C2314yes—
113#14581751—22no—
114#14581751C2314yes—
115C2×C4⋊Dic83—22no—
116C2×C4⋊Dic83—21no—
117C2×C4⋊Dic83—21no—
118C2×C4⋊Dic83—21no—
119C2×C4⋊Dic83—21no—
120C2×C4⋊Dic83C2314yes—
121C2×C4⋊Dic83C2311yescharacteristic
122C2×C4⋊Dic83C2311yescharacteristic
123C2×C4⋊Dic83C2311yescharacteristic
124C2×C4⋊Dic83C2311yescharacteristic
125C2×C4⋊Dic83C2311yescharacteristic
126C2×C4⋊Dic83C2311yescharacteristic
127C2×Dic83⋊C4—21no—
128C2×Dic83⋊C4—21no—
129C2×Dic83⋊C4—21no—
130C2×Dic83⋊C4—21no—
131C2×Dic83⋊C4—21no—
132C2×Dic83⋊C4—21no—
133C2×C22⋊Dic83—21no—
134C2×C22⋊Dic83—21no—
135C2×(C2×D83)⋊C4—21no—
136C2×(C2×D83)⋊C4—21no—
137C2×(C2×D83)⋊C4—21no—
138C2×(C2×D83)⋊C4—21no—
139C2×C4×Dic83—21no—
140C2×C4×Dic83—21no—
141#14581726C2314yes—
142#14581726C2314yes—
143#14581724C2314yes—
144#14581724C2314yes—
145#14581724C2314yes—
146#14581724C2314yes—
147#14581724C2314yes—
148#14581724C2314yes—
149#14581717C2314yes—
150#14581717C2314yes—
151#14581717C2314yes—
152#14581717C2314yes—
153#14581714C2314yes—
154#14581714C2314yes—
155#14581714C2314yes—
156#14581714C2314yes—
157C23×C4×C83C2311yescharacteristic
158C22×C8×C83C2311yescharacteristic
159C22×C8×C83C2311yescharacteristic
160C22×C8×C83C2311yescharacteristic
161C22×C8×C83C2311yescharacteristic
162#117×C83D414yes—
163#117×C83C2314yes—
164C2×C4⋊C4×C83D411yescharacteristic
165C2×C4⋊C4×C83D411yescharacteristic
166C2×C22⋊C4×C83D411yescharacteristic
167C2×C22⋊C4×C83D411yescharacteristic
168C2×C42×C83C2311yescharacteristic
169C2×C42×C83C2311yescharacteristic
170C4⋊C8×C83C2314yes—
171C4⋊C8×C83C2314yes—
172C22⋊C8×C83C2314yes—
173C22⋊C8×C83C2314yes—
174#97×C83C2314yes—
175C4×C8×C83C2314yes—
176C23×D83—21no—
177C2×Dic166—22no—
178C2×Dic166—22no—
179C2×Dic166—21no—
180C2×Dic166—24no—
181C2×Dic166—24no—
182C2×Dic166—24no—
183C2×Dic166—82no—
184C2×Dic166—82no—
185C2×Dic166—82no—
186C2×Dic166C2412yes—
187C2×D332—22no—
188C2×D332—22no—
189C2×D332—21no—
190C2×D332C2412yes—
191C2×C22⋊D83—24no—
192C2×C22⋊D83—82no—
193C22×Dic83—21no—
194C22×Dic83—21no—
195C22×Dic83—21no—
196C22×Dic83—21no—
197C22×Dic83—21no—
198C22×Dic83—21no—
199C22×Dic83—21no—
200C22×Dic83—24no—
201C22×Dic83—82no—
202C2×C4×D83—24no—
203C2×C4×D83—82no—
204C4⋊Dic83—21no—
205C4⋊Dic83—24no—
206C4⋊Dic83—24no—
207C4⋊Dic83—21no—
208C4⋊Dic83—24no—
209C4⋊Dic83—24no—
210C4⋊Dic83—21no—
211C4⋊Dic83—21no—
212C4⋊Dic83—21no—
213C4⋊Dic83—21no—
214C4⋊Dic83C2412yes—
215C4⋊Dic83C2412yes—
216C4⋊Dic83C2412yes—
217C4⋊Dic83C2412yes—
218C4⋊Dic83C2412yes—
219C4⋊Dic83C2412yes—
220Dic83⋊C4—24no—
221Dic83⋊C4—24no—
222Dic83⋊C4—24no—
223Dic83⋊C4—24no—
224Dic83⋊C4—24no—
225Dic83⋊C4—24no—
226C22⋊Dic83—24no—
227C22⋊Dic83—24no—
228(C2×D83)⋊C4—24no—
229(C2×D83)⋊C4—24no—
230(C2×D83)⋊C4—24no—
231(C2×D83)⋊C4—24no—
232C4×Dic83—24no—
233C4×Dic83—24no—
234C24×C83C2×D411yescharacteristic
235C22×C4×C83—22no—
236C22×C4×C83—22no—
237C22×C4×C83C2×D412yes—
238C22×C4×C83C2×D411yescharacteristic
239C22×C4×C83C2×D411yescharacteristic
240C22×C4×C83C2×D411yescharacteristic
241C22×C4×C83C2×D411yescharacteristic
242C22×C4×C83C2×D411yescharacteristic
243C22×C4×C83C2412yes—
244C22×C4×C83C2411yescharacteristic
245C2×C8×C83—22no—
246C2×C8×C83—22no—
247C2×C8×C83—22no—
248C2×C8×C83—22no—
249C2×C8×C83C2412yes—
250C2×C8×C83C2412yes—
251C2×C8×C83C2412yes—
252C2×C8×C83C2412yes—
253C4⋊C4×C83C2×D414yes—
254C4⋊C4×C83C2×D414yes—
255C22⋊C4×C83C2×D414yes—
256C22⋊C4×C83C2×D414yes—
257C42×C83C2×D412yes—
258C42×C83C2×D412yes—
259C42×C83C2412yes—
260C42×C83C2412yes—
261C23×C83—22no—
262C23×C83—22no—
263C23×C83—22no—
264C23×C83C22×D412yes—
265C23×C83C22×D411yescharacteristic
266C22×D83—22no—
267C22×D83—42no—
268C22×D83—42no—
269C22×D83—42no—
270C2×C4×C83—22no—
271C2×C4×C83—22no—
272C2×C4×C83—22no—
273C2×C4×C83—22no—
274C2×C4×C83—22no—
275C2×C4×C83—24no—
276C2×C4×C83—22no—
277C2×C4×C83—22no—
278C2×C4×C83C22×D412yes—
279C2×C4×C83C22×D412yes—
280C2×C4×C83C22×D412yes—
281C2×C4×C83C22×D412yes—
282C2×C4×C83C22×D412yes—
283C2×C4×C83C22×D411yescharacteristic
284C2×C4×C832−1+412yes—
285C2×C4×C832−1+412yes—
286C2×C4×C83C2511yescharacteristic
287C22⋊D83—84no—
288C2×Dic83—22no—
289C2×Dic83—22no—
290C2×Dic83—22no—
291C2×Dic83—22no—
292C2×Dic83—22no—
293C2×Dic83—22no—
294C2×Dic83—22no—
295C2×Dic83—42no—
296C2×Dic83—42no—
297C2×Dic83—42no—
298C2×Dic83—42no—
299C2×Dic83—42no—
300C2×Dic83—42no—
301C2×Dic83—42no—
302C2×Dic83—84no—
303D332—22no—
304D332—22no—
305D332—42no—
306C4×D83—84no—
307Dic166—22no—
308Dic166—22no—
309Dic166—42no—
310Dic166—84no—
311Dic166—84no—
312Dic166—84no—
313C8×C83—22no—
314C8×C83—22no—
315C8×C83—22no—
316C8×C83—22no—
317C22×C83—22no—
318C22×C83—22no—
319C22×C83—22no—
320C22×C83—44no—
321C22×C83#53612yes—
322C22×C83#57712yes—
323C22×C83#57712yes—
324C22×C83C23×D411yescharacteristic
325C2×D83—42no—
326C2×D83—42no—
327C2×D83—42no—
328C2×D83—84no—
329C4×C83—22no—
330C4×C83—22no—
331C4×C83—22no—
332C4×C83—22no—
333C4×C83—22no—
334C4×C83#53612yes—
335C4×C83C2×2−1+411yescharacteristic
336C4×C83C2×2−1+411yescharacteristic
337Dic83—42no—
338Dic83—42no—
339Dic83—42no—
340Dic83—42no—
341Dic83—42no—
342Dic83—42no—
343Dic83—42no—
344C2×#3244—831nomaximal, Sylow
345C2×C83—42no—
346C2×C83#324414yescomplemented
347C2×C83C2×#53611yescharacteristic
348C2×C83C2×#57711yescharacteristic
349C2×C83C2×#57711yescharacteristic
350D83—82no—
351C2×#544—831no—
352C2×#542—831no—
353#3244—8316no—
354C2×#501—831no—
355C2×#498—831no—
356C2×#489—831no—
357C2×#488—831no—
358C2×#481—831no—
359C2×#485—831no—
360C2×#482—831no—
361C2×#483—831no—
362C2×#479—831no—
363C2×#475—831no—
364C2×#478—831no—
365C2×#476—831no—
366C2×#433D8311yescharacteristic, complemented
367C83C2×#324411yescharacteristic, complemented, Sylow
368#544—838no—
369#544—1664no—
370#542—838no—
371#542—1664no—
372C2×C4⋊Q8—831no—
373C2×C4⋊Q8—831no—
374C2×C4⋊Q8—831no—
375C2×C4⋊Q8—1661no—
376C2×#126—1661no—
377C2×#125—831no—
378C2×#125—831no—
379C2×#125—1661no—
380C2×#124—831no—
381C2×#124—1661no—
382C2×#123—1661no—
383C2×C22⋊Q8—831no—
384C2×C22⋊Q8—1661no—
385C2×C22⋊Q8—1661no—
386C2×C22⋊Q8—1661no—
387C2×#121—831no—
388C2×C4×Q8—831no—
389C2×C4×D4—831no—
390C2×#117—831no—
391C2×#117C2×D8311yescharacteristic
392C22×C4⋊C4—831no—
393#501—838no—
394#498—838no—
395#489—838no—
396#488—838no—
397#485—838no—
398#483—838no—
399#482—838no—
400#481—838no—
401#479—838no—
402#478—838no—
403#476—838no—
404#475—838no—
405#433C2×D8318yescomplemented
406C2×#107—831no—
407C2×#107—831no—
408C2×#106—831no—
409C2×#106—831no—
410C2×#106—831no—
411C2×#106—831no—
412C2×#106—831no—
413C2×#106—831no—
414C2×C4⋊C8C2×D8311yescharacteristic
415C2×C4⋊C8C2×D8311yescharacteristic
416C2×#103—831no—
417C2×#103—831no—
418C2×#103—831no—
419C2×#103—831no—
420C2×#102—831no—
421C2×#102—831no—
422C2×#102—831no—
423C2×#102—831no—
424C2×C22⋊C8C2×D8311yescharacteristic
425C2×C22⋊C8C2×D8311yescharacteristic
426C2×#97C2×D8311yescharacteristic
427C2×C4×C8C2×D8311yescharacteristic
428C22×Q8—831no—
429C22×Q8—1661no—
430C22×Q8—1661no—
431C22×Q8—1661no—
432C22×D4—831no—
433C22×D4—1661no—
434C23×C4—1661no—
435C23×C4—1661no—
436C23×C4C22×D8311yescharacteristic
437C22×C8C22×D8311yescharacteristic
438C22×C8C22×D8311yescharacteristic
439C22×C8C22×D8311yescharacteristic
440C22×C8C22×D8311yescharacteristic
441C4⋊Q8—834no—
442C4⋊Q8—834no—
443C4⋊Q8—834no—
444C4⋊Q8—1668no—
445C4⋊Q8—1662no—
446C4⋊Q8—1662no—
447C4⋊Q8—1662no—
448#126—1668no—
449#125—834no—
450#125—834no—
451#125—1668no—
452#125—1662no—
453#125—1662no—
454#124—834no—
455#124—1668no—
456#124—1662no—
457#123—1668no—
458C22⋊Q8—834no—
459C22⋊Q8—1662no—
460C22⋊Q8—1668no—
461C22⋊Q8—1668no—
462C22⋊Q8—1668no—
463#121—834no—
464#121—1662no—
465C4×Q8—834no—
466C4×Q8—1662no—
467C4×D4—834no—
468C4×D4—1662no—
469#117—834no—
470#117—1662no—
471#117D33214yes—
472#117C22×D8314yes—
473C2×C4⋊C4—831no—
474C2×C4⋊C4—831no—
475C2×C4⋊C4—834no—
476C2×C4⋊C4—831no—
477C2×C4⋊C4—831no—
478C2×C4⋊C4—831no—
479C2×C4⋊C4—831no—
480C2×C4⋊C4—1661no—
481C2×C4⋊C4—1662no—
482C2×C4⋊C4—1661no—
483C2×C4⋊C4—1661no—
484C2×C4⋊C4—1661no—
485C2×C4⋊C4—1661no—
486C2×C4⋊C4—1661no—
487C2×C4⋊C4—1661no—
488C2×C4⋊C4—1661no—
489C2×C4⋊C4—1661no—
490C2×C4⋊C4—1661no—
491C2×C4⋊C4D33211yescharacteristic
492C2×C4⋊C4D33211yescharacteristic
493C2×C22⋊C4—1661no—
494C2×C22⋊C4—1661no—
495C2×C22⋊C4—1661no—
496C2×C22⋊C4—1661no—
497C2×C22⋊C4—1661no—
498C2×C22⋊C4—1661no—
499C2×C22⋊C4D33211yescharacteristic
500C2×C22⋊C4D33211yescharacteristic
501C2×C42—1661no—
502C2×C42—1661no—
503C2×C42C22×D8311yescharacteristic
504C2×C42C22×D8311yescharacteristic
505#107—834no—
506#107—834no—
507#106—834no—
508#106—834no—
509#106—834no—
510#106—834no—
511#106—834no—
512#106—834no—
513C4⋊C8C22×D8314yes—
514C4⋊C8C22×D8314yes—
515#103—834no—
516#103—834no—
517#103—834no—
518#103—834no—
519#102—834no—
520#102—834no—
521#102—834no—
522#102—834no—
523C22⋊C8C22×D8314yes—
524C22⋊C8C22×D8314yes—
525#97C22×D8314yes—
526C4×C8C22×D8314yes—
527C24—1661no—
528C24C2×D33211yescharacteristic
529C2×Q8—832no—
530C2×Q8—6642no—
531C2×Q8—6642no—
532C2×Q8—6642no—
533C2×Q8—1662no—
534C2×Q8—1662no—
535C2×Q8—1661no—
536C2×Q8—1664no—
537C2×Q8—1664no—
538C2×Q8—1664no—
539C2×D4—832no—
540C2×D4—6642no—
541C2×D4—1664no—
542C2×D4—1661no—
543C2×D4—1662no—
544C2×D4—1662no—
545C22×C4—22no—
546C22×C4—22no—
547C22×C4—6642no—
548C22×C4—6642no—
549C22×C4—1661no—
550C22×C4—1661no—
551C22×C4—1661no—
552C22×C4—1661no—
553C22×C4—1661no—
554C22×C4—1661no—
555C22×C4—1661no—
556C22×C4—1664no—
557C22×C4—1664no—
558C22×C4C2×D33212yes—
559C22×C4C2×D33211yescharacteristic
560C22×C4C2×D33211yescharacteristic
561C22×C4C2×D33211yescharacteristic
562C22×C4C2×D33211yescharacteristic
563C22×C4C2×D33211yescharacteristic
564C22×C4C23×D8312yes—
565C22×C4C23×D8311yescharacteristic
566C2×C8—22no—
567C2×C8—22no—
568C2×C8—22no—
569C2×C8—22no—
570C2×C8C23×D8312yes—
571C2×C8C23×D8312yes—
572C2×C8C23×D8312yes—
573C2×C8C23×D8312yes—
574C4⋊C4—832no—
575C4⋊C4—832no—
576C4⋊C4—832no—
577C4⋊C4—832no—
578C4⋊C4—832no—
579C4⋊C4—832no—
580C4⋊C4—1664no—
581C4⋊C4—1661no—
582C4⋊C4—1661no—
583C4⋊C4—1661no—
584C4⋊C4—1661no—
585C4⋊C4—1661no—
586C4⋊C4—1661no—
587C4⋊C4—1664no—
588C4⋊C4—1664no—
589C4⋊C4—1664no—
590C4⋊C4—1664no—
591C4⋊C4—1664no—
592C4⋊C4—1664no—
593C4⋊C4—1664no—
594C4⋊C4—1664no—
595C4⋊C4—1664no—
596C4⋊C4C2×D33214yes—
597C4⋊C4C2×D33214yes—
598C22⋊C4—1664no—
599C22⋊C4—1664no—
600C22⋊C4—1664no—
601C22⋊C4—1664no—
602C22⋊C4—1664no—
603C22⋊C4—1664no—
604C22⋊C4C2×D33214yes—
605C22⋊C4C2×D33214yes—
606C42—1664no—
607C42—1664no—
608C42C2×D33212yes—
609C42C2×D33212yes—
610C42C23×D8312yes—
611C42C23×D8312yes—
612C23—22no—
613C23—22no—
614C23—22no—
615C23—3322no—
616C23—3322no—
617C23—3322no—
618C23—1662no—
619C23C22×D33212yes—
620C23C22×D33211yescharacteristic
621Q8—3322no—
622Q8—6644no—
623Q8—6644no—
624Q8—6644no—
625Q8—1662no—
626Q8—1662no—
627D4—3322no—
628D4—6644no—
629D4—1662no—
630D4—1662no—
631C2×C4—22no—
632C2×C4—22no—
633C2×C4—22no—
634C2×C4—22no—
635C2×C4—22no—
636C2×C4—24no—
637C2×C4—22no—
638C2×C4—22no—
639C2×C4—3322no—
640C2×C4—3322no—
641C2×C4—3322no—
642C2×C4—3322no—
643C2×C4—3322no—
644C2×C4—3322no—
645C2×C4—3322no—
646C2×C4—6644no—
647C2×C4—6644no—
648C2×C4—1662no—
649C2×C4—1662no—
650C2×C4—1662no—
651C2×C4—1662no—
652C2×C4—1662no—
653C2×C4—1662no—
654C2×C4—1662no—
655C2×C4C22×D33212yes—
656C2×C4C22×D33212yes—
657C2×C4C22×D33212yes—
658C2×C4C22×D33212yes—
659C2×C4C22×D33212yes—
660C2×C4C22×D33211yescharacteristic
661C2×C4#1458183912yes—
662C2×C4#1458183912yes—
663C2×C4C24×D8311yescharacteristic
664C8—22no—
665C8—22no—
666C8—22no—
667C8—22no—
668C22—22no—
669C22—22no—
670C22—22no—
671C22—44no—
672C22—3322no—
673C22—3322no—
674C22—3322no—
675C22—6644no—
676C22#1912827712yes—
677C22#1912851312yes—
678C22#1912851312yes—
679C22C23×D33211yescharacteristic
680C4—22no—
681C4—22no—
682C4—22no—
683C4—22no—
684C4—22no—
685C4—3322no—
686C4—3322no—
687C4—3322no—
688C4—3322no—
689C4—3322no—
690C4—3322no—
691C4—3322no—
692C4#1912827712yes—
693C4C2×#1458183911yescharacteristic
694C4C2×#1458183911yescharacteristic
695C2—42no—
696C2—6642no—
697C2#2491876314yesdirect product factor
698C2C2×#1912827711yescharacteristic
699C2C2×#1912851311yescharacteristic
700C2C2×#1912851311yescharacteristic
subgroupG/H
centerC23C22×D332
commutator, cosocleC2×C4×C83C25
FrattiniC2×C4C24×D83
FittingC2×#433×C83C2
socleC23×C83C22×D4
prime radicalC2×#14581766C22
hypercenterC2×#433D83
hypocenterC83C2×#3244
LCSG ▷ C2×C4×C83 ▷ C2×C83 ▷ C83
UCSC1 ◁ C23 ◁ C2×#117 ◁ C2×#433

Complements

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

NH ≅ G/Ntype
1. C2×#19128329C2semidirect
3. #24918763C2direct (N × H)
4. C2×#19128110C2semidirect
5. C2×#19128099C2semidirect
6. C2×#19128061C2semidirect
7. C2×#19128056C2semidirect
9. C2×#19128043C2semidirect
11. C2×#19128032C2semidirect
12. C2×#19128009C2semidirect
13. C2×#19127987C2semidirect
14. C2×#19128002C2semidirect
15. C2×#19127992C2semidirect
16. C2×#433×C83C2semidirect
18. #19128329C22semidirect
41. #19128110C22semidirect
42. #19128099C22semidirect
43. #19128061C22semidirect
44. #19128056C22semidirect
45. #19128043C22semidirect
46. #19128032C22semidirect
49. #19128009C22semidirect
50. #19128002C22semidirect
51. #19127992C22semidirect
52. #19127987C22semidirect
70. #433×C83C22semidirect
346. C2×C83#3244semidirect
366. C2×#433D83semidirect
367. C83C2×#3244semidirect
405. #433C2×D83semidirect
697. C2#24918763direct (N × H)

Maximal subgroups

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

subgroupindex
C2×#191283292
C2×#191283222
#249187632
C2×#191281102
C2×#191280992
C2×#191280612
C2×#191280562
C2×#191280202
C2×#191280432
C2×#191280262
C2×#191280322
C2×#191280092
C2×#191279872
C2×#191280022
C2×#191279922
C2×#433×C832
C2×#324483