Finite Group Databasebeta

← C2×#24918739 #36276618

Subgroups — C2×#24918739 #36276618

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×#19128331C211yesmaximal, characteristic, complemented
2C2×#19128320C211yesmaximal, characteristic
3#24918739C2116yesmaximal, direct product factor
4C2×#19128111C211yesmaximal, characteristic, complemented
5C2×#19128106C211yesmaximal, characteristic, complemented
6C2×#19128060C211yesmaximal, characteristic, complemented
7C2×#19128035C211yesmaximal, characteristic, complemented
8C2×#19128041C211yesmaximal, characteristic, complemented
9C2×#19128023C211yesmaximal, characteristic
10C2×#19128013C211yesmaximal, characteristic
11C2×#19128010C211yesmaximal, characteristic, complemented
12C2×#19127994C211yesmaximal, characteristic, complemented
13C2×#19127999C211yesmaximal, characteristic, complemented
14C2×#19127979C211yesmaximal, characteristic, complemented
15C2×#19127760C211yesmaximal, characteristic, complemented
16C2×#488×C83C211yesmaximal, characteristic, complemented
17#19128331—24no—
18#19128331C2218yescomplemented
19#19128320—24no—
20#19128320C2218yes—
21C2×#14581792C2211yescharacteristic
22C2×#14581792C2211yescharacteristic
23C2×#14581791—21no—
24C2×#14581791C2211yescharacteristic
25C2×#14581785—21no—
26C2×#14581783C2211yescharacteristic
27C2×#14581782—21no—
28C2×#14581778—21no—
29C2×#14581776—21no—
30C2×#14581772—21no—
31C2×#14581770—21no—
32C2×#14581769—21no—
33C2×#14581768C2211yescharacteristic
34C2×#14581763C2211yescharacteristic
35C2×Q8×Dic83C2211yescharacteristic
36C2×D4×Dic83C2211yescharacteristic
37C2×#14581750C2211yescharacteristic
38C2×#14581749C2211yescharacteristic
39C2×C4⋊C4×D83C2211yescharacteristic
40#19128111C2218yescomplemented
41#19128106C2218yescomplemented
42#19128060C2218yescomplemented
43#19128041C2218yescomplemented
44#19128035C2218yescomplemented
45#19128023C2218yes—
46#19128013C2218yes—
47#19128010C2218yescomplemented
48#19127999C2218yescomplemented
49#19127994C2218yescomplemented
50#19127979C2218yescomplemented
51#19127760C2218yescomplemented
52C2×#14581726C2211yescharacteristic
53C2×#14581726C2211yescharacteristic
54C2×#14581726C2211yescharacteristic
55C2×#14581726C2211yescharacteristic
56C2×#14581725C2211yescharacteristic
57C2×#14581725C2211yescharacteristic
58C2×#14581723C2211yescharacteristic
59C2×#14581723C2211yescharacteristic
60C2×Dic83⋊C8C2211yescharacteristic
61C2×Dic83⋊C8C2211yescharacteristic
62C2×#14581716C2211yescharacteristic
63C2×#14581716C2211yescharacteristic
64C2×#14581713C2211yescharacteristic
65C2×#14581713C2211yescharacteristic
66C2×(C2×D83)⋊C8C2211yescharacteristic
67C2×(C2×D83)⋊C8C2211yescharacteristic
68C2×#14581703C2211yescharacteristic
69C2×#125×C83C2211yescharacteristic
70C2×#124×C83C2211yescharacteristic
71#488×C83C2218yescomplemented
72C2×#103×C83C2211yescharacteristic
73C2×#103×C83C2211yescharacteristic
74C2×#102×C83C2211yescharacteristic
75C2×#102×C83C2211yescharacteristic
76C2×C4×C8×C83C2211yescharacteristic
77C22×Dic166—21no—
78C22×Dic166—21no—
79C22×Dic166—21no—
80C22×C22⋊D83—21no—
81C23×Dic83—21no—
82C22×C4×D83—21no—
83C22×C4×D83C2311yescharacteristic
84C22×C83⋊C8C2311yescharacteristic
85C22×C83⋊C8C2311yescharacteristic
86#14581792—22no—
87#14581792—22no—
88#14581792C2314yes—
89#14581792C2314yes—
90#14581791—28no—
91#14581791—22no—
92#14581791C2314yes—
93#14581785—28no—
94#14581783—22no—
95#14581783C2314yes—
96#14581782—28no—
97#14581778—28no—
98#14581776—28no—
99#14581772—28no—
100#14581770—28no—
101#14581769—28no—
102#14581768—22no—
103#14581768C2314yes—
104#14581763—22no—
105#14581763C2314yes—
106Q8×Dic83—22no—
107Q8×Dic83C2314yes—
108D4×Dic83—22no—
109D4×Dic83C2314yes—
110#14581750—22no—
111#14581750C2314yes—
112#14581749D414yes—
113#14581749C2314yes—
114C2×C4⋊Dic83—21no—
115C2×C4⋊Dic83—21no—
116C2×C4⋊Dic83—21no—
117C2×C4⋊Dic83—21no—
118C2×C4⋊Dic83C2311yescharacteristic
119C2×C4⋊Dic83C2311yescharacteristic
120C2×C4⋊Dic83C2311yescharacteristic
121C2×C4⋊Dic83C2311yescharacteristic
122C2×Dic83⋊C4—21no—
123C2×Dic83⋊C4—21no—
124C2×Dic83⋊C4—21no—
125C2×Dic83⋊C4—21no—
126C2×Dic83⋊C4D411yescharacteristic
127C2×Dic83⋊C4D411yescharacteristic
128C4⋊C4×D83—22no—
129C4⋊C4×D83C2314yes—
130C2×C22⋊Dic83—21no—
131C2×C22⋊Dic83—21no—
132C2×(C2×D83)⋊C4—21no—
133C2×(C2×D83)⋊C4—21no—
134C2×(C2×D83)⋊C4D411yescharacteristic
135C2×(C2×D83)⋊C4D411yescharacteristic
136C2×C4×Dic83—21no—
137C2×C4×Dic83—21no—
138C2×C4×Dic83C2311yescharacteristic
139#14581726C2314yes—
140#14581726C2314yes—
141#14581726C2314yes—
142#14581726C2314yes—
143#14581725C2314yes—
144#14581725C2314yes—
145#14581723C2314yes—
146#14581723C2314yes—
147Dic83⋊C8C2314yes—
148Dic83⋊C8C2314yes—
149#14581716C2314yes—
150#14581716C2314yes—
151#14581713C2314yes—
152#14581713C2314yes—
153(C2×D83)⋊C8C2314yes—
154(C2×D83)⋊C8C2314yes—
155#14581703C2314yes—
156C22×Q8×C83C2311yescharacteristic
157C22×D4×C83C2311yescharacteristic
158C22×C8×C83C2311yescharacteristic
159C22×C8×C83C2311yescharacteristic
160#125×C83—22no—
161#125×C83C2314yes—
162#124×C83—22no—
163#124×C83C2314yes—
164C2×C4⋊C4×C83—21no—
165C2×C4⋊C4×C83—21no—
166C2×C4⋊C4×C83C2311yescharacteristic
167C2×C4⋊C4×C83C2311yescharacteristic
168C2×C22⋊C4×C83—21no—
169C2×C22⋊C4×C83—21no—
170C2×C42×C83C2311yescharacteristic
171#103×C83C2314yes—
172#103×C83C2314yes—
173#102×C83C2314yes—
174#102×C83C2314yes—
175C4×C8×C83C2314yes—
176C23×D83C2×D411yescharacteristic
177C2×Dic166—24no—
178C2×Dic166—24no—
179C2×Dic166—24no—
180C2×Dic166—82no—
181C2×Dic166—82no—
182C2×Dic166—82no—
183C2×C22⋊D83—24no—
184C2×C22⋊D83—82no—
185C22×Dic83—21no—
186C22×Dic83—21no—
187C22×Dic83—21no—
188C22×Dic83—21no—
189C22×Dic83—24no—
190C22×Dic83—82no—
191C22×Dic83C2×D411yescharacteristic
192C22×Dic83C2×D411yescharacteristic
193C22×Dic83C2×D411yescharacteristic
194C2×C4×D83—22no—
195C2×C4×D83—22no—
196C2×C4×D83—24no—
197C2×C4×D83—82no—
198C2×C4×D83C2×D412yes—
199C2×C4×D83C2412yes—
200C2×C83⋊C8—22no—
201C2×C83⋊C8—22no—
202C2×C83⋊C8C2412yes—
203C2×C83⋊C8C2412yes—
204C4⋊Dic83—21no—
205C4⋊Dic83—21no—
206C4⋊Dic83—24no—
207C4⋊Dic83—24no—
208C4⋊Dic83—21no—
209C4⋊Dic83—21no—
210C4⋊Dic83—24no—
211C4⋊Dic83—24no—
212C4⋊Dic83C2412yes—
213C4⋊Dic83C2412yes—
214C4⋊Dic83C2412yes—
215C4⋊Dic83C2412yes—
216Dic83⋊C4—24no—
217Dic83⋊C4—24no—
218Dic83⋊C4—24no—
219Dic83⋊C4—24no—
220Dic83⋊C4C2×D414yes—
221Dic83⋊C4C2×D414yes—
222C22⋊Dic83—24no—
223C22⋊Dic83—24no—
224(C2×D83)⋊C4—24no—
225(C2×D83)⋊C4—24no—
226(C2×D83)⋊C4C2×D414yes—
227(C2×D83)⋊C4C2×D414yes—
228C4×Dic83—24no—
229C4×Dic83—24no—
230C4×Dic83C2×D412yes—
231C4×Dic83C2412yes—
232C24×C83—21no—
233C2×Q8×C83—21no—
234C2×Q8×C83—22no—
235C2×Q8×C83—22no—
236C2×Q8×C83C2412yes—
237C2×D4×C83—21no—
238C2×D4×C83—22no—
239C2×D4×C83—22no—
240C2×D4×C83C2412yes—
241C22×C4×C83—21no—
242C22×C4×C83—21no—
243C22×C4×C83—21no—
244C22×C4×C83C2×D411yescharacteristic
245C22×C4×C83C2×D411yescharacteristic
246C22×C4×C83C2411yescharacteristic
247C2×C8×C83—22no—
248C2×C8×C83—22no—
249C2×C8×C83C2412yes—
250C2×C8×C83C2412yes—
251C4⋊C4×C83—24no—
252C4⋊C4×C83—24no—
253C4⋊C4×C83—21no—
254C4⋊C4×C83—21no—
255C4⋊C4×C83C2412yes—
256C4⋊C4×C83C2412yes—
257C22⋊C4×C83—24no—
258C22⋊C4×C83—24no—
259C42×C83C2×D412yes—
260C42×C83C2412yes—
261C23×C83—22no—
262C23×C83—42no—
263C23×C83—42no—
264C23×C83—42no—
265C23×C83C22×D411yescharacteristic
266C22×D83—22no—
267C22×D83—22no—
268C22×D83—22no—
269C22×D83C22×D412yes—
270Q8×C83—22no—
271Q8×C83—22no—
272Q8×C83—42no—
273D4×C83—22no—
274D4×C83—22no—
275D4×C83—42no—
276C2×C4×C83—22no—
277C2×C4×C83—22no—
278C2×C4×C83—22no—
279C2×C4×C83—22no—
280C2×C4×C83—22no—
281C2×C4×C83—42no—
282C2×C4×C83—42no—
283C2×C4×C83—42no—
284C2×C4×C83C22×D412yes—
285C2×C4×C83C22×D412yes—
286C2×C4×C83C22×D411yescharacteristic
287C2×C4×C832−1+412yes—
288C2×C4×C832−1+412yes—
289C2×C4×C83C2511yescharacteristic
290C22⋊D83—84no—
291C2×Dic83—22no—
292C2×Dic83—22no—
293C2×Dic83—22no—
294C2×Dic83—22no—
295C2×Dic83—22no—
296C2×Dic83—22no—
297C2×Dic83—22no—
298C2×Dic83—42no—
299C2×Dic83—42no—
300C2×Dic83—42no—
301C2×Dic83—42no—
302C2×Dic83—84no—
303C2×Dic83C22×D412yes—
304C2×Dic83C22×D412yes—
305C2×Dic83C22×D412yes—
306C4×D83—24no—
307C4×D83—22no—
308C4×D83—22no—
309C4×D83—84no—
310Dic166—84no—
311Dic166—84no—
312Dic166—84no—
313C8×C83—22no—
314C8×C83—22no—
315C83⋊C8—22no—
316C83⋊C8—22no—
317C22×C83—42no—
318C22×C83—42no—
319C22×C83—42no—
320C22×C83—84no—
321C22×C83#53612yes—
322C22×C83#57612yes—
323C22×C83#57812yes—
324C22×C83C23×D411yescharacteristic
325C2×D83—22no—
326C2×D83—22no—
327C2×D83—22no—
328C2×D83—44no—
329C4×C83—22no—
330C4×C83—22no—
331C4×C83—42no—
332C4×C83—42no—
333C4×C83—42no—
334C4×C83#53612yes—
335C4×C83C2×2−1+411yescharacteristic
336C4×C83C2×2−1+411yescharacteristic
337Dic83—22no—
338Dic83—22no—
339Dic83—22no—
340Dic83—42no—
341Dic83—42no—
342Dic83—42no—
343Dic83—42no—
344C2×#3243—831nomaximal, Sylow
345C2×C83—82no—
346C2×C83#324314yescomplemented
347C2×C83C2×#53611yescharacteristic
348C2×C83C2×#57611yescharacteristic
349C2×C83C2×#57811yescharacteristic
350D83—42no—
351C2×#544—831no—
352C2×#542—831no—
353#3243—8316no—
354C2×#501—831no—
355C2×#500—831no—
356C2×#489—831no—
357C2×#488D8311yescharacteristic, complemented
358C2×#484—831no—
359C2×#485—831no—
360C2×#482—831no—
361C2×#480—831no—
362C2×#479—831no—
363C2×#477—831no—
364C2×#478—831no—
365C2×#474—831no—
366C2×#433—831no—
367C83C2×#324311yescharacteristic, 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—1661no—
379C2×#125C2×D8311yescharacteristic
380C2×#124—1661no—
381C2×#124C2×D8311yescharacteristic
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×#117—831no—
392C22×C4⋊C4—831no—
393#501—838no—
394#500—838no—
395#489—838no—
396#488C2×D8318yescomplemented
397#485—838no—
398#484—838no—
399#482—838no—
400#480—838no—
401#479—838no—
402#478—838no—
403#477—838no—
404#474—838no—
405#433—838no—
406C2×#107—831no—
407C2×#107—831no—
408C2×#107—831no—
409C2×#107—831no—
410C2×#107—831no—
411C2×#107—831no—
412C2×#106—831no—
413C2×#106—831no—
414C2×C4⋊C8—831no—
415C2×C4⋊C8—831no—
416C2×#103—831no—
417C2×#103—831no—
418C2×#103C2×D8311yescharacteristic
419C2×#103C2×D8311yescharacteristic
420C2×#102—831no—
421C2×#102—831no—
422C2×#102C2×D8311yescharacteristic
423C2×#102C2×D8311yescharacteristic
424C2×C22⋊C8—831no—
425C2×C22⋊C8—831no—
426C2×#97—831no—
427C2×C4×C8C2×D8311yescharacteristic
428C22×Q8—1661no—
429C22×Q8—1661no—
430C22×Q8—1661no—
431C22×Q8C22×D8311yescharacteristic
432C22×D4—1661no—
433C22×D4C22×D8311yescharacteristic
434C23×C4—831no—
435C23×C4—1661no—
436C23×C4—1661no—
437C22×C8—831no—
438C22×C8—831no—
439C22×C8C22×D8311yescharacteristic
440C22×C8C22×D8311yescharacteristic
441C4⋊Q8—834no—
442C4⋊Q8—834no—
443C4⋊Q8—834no—
444C4⋊Q8—1662no—
445C4⋊Q8—1668no—
446C4⋊Q8—1662no—
447C4⋊Q8—1662no—
448#126—1668no—
449#125—22no—
450#125—834no—
451#125—1662no—
452#125—1668no—
453#125C22×D8314yes—
454#124—22no—
455#124—1668no—
456#124C22×D8314yes—
457#123—1668no—
458C22⋊Q8—834no—
459C22⋊Q8—1668no—
460C22⋊Q8—1668no—
461C22⋊Q8—1668no—
462C22⋊Q8—1662no—
463#121—834no—
464#121—1662no—
465C4×Q8—834no—
466C4×Q8—1662no—
467C4×D4—834no—
468C4×D4—1662no—
469#117—834no—
470#117—834no—
471#117—834no—
472#117—1662no—
473C2×C4⋊C4—21no—
474C2×C4⋊C4—21no—
475C2×C4⋊C4—831no—
476C2×C4⋊C4—831no—
477C2×C4⋊C4—831no—
478C2×C4⋊C4—831no—
479C2×C4⋊C4—831no—
480C2×C4⋊C4—831no—
481C2×C4⋊C4—834no—
482C2×C4⋊C4—1662no—
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⋊C4C22×D8311yescharacteristic
492C2×C4⋊C4C22×D8311yescharacteristic
493C2×C22⋊C4—21no—
494C2×C22⋊C4—21no—
495C2×C22⋊C4—831no—
496C2×C22⋊C4—831no—
497C2×C22⋊C4—1661no—
498C2×C22⋊C4—1661no—
499C2×C22⋊C4—1661no—
500C2×C22⋊C4—1661no—
501C2×C42—831no—
502C2×C42—1661no—
503C2×C42—1661no—
504C2×C42C22×D8311yescharacteristic
505#107—834no—
506#107—834no—
507#107—834no—
508#107—834no—
509#107—834no—
510#107—834no—
511#106—834no—
512#106—834no—
513C4⋊C8—834no—
514C4⋊C8—834no—
515#103—834no—
516#103—834no—
517#103C22×D8314yes—
518#103C22×D8314yes—
519#102—834no—
520#102—834no—
521#102C22×D8314yes—
522#102C22×D8314yes—
523C22⋊C8—834no—
524C22⋊C8—834no—
525#97—834no—
526C4×C8C22×D8314yes—
527C24—21no—
528C24—831no—
529C2×Q8—21no—
530C2×Q8—22no—
531C2×Q8—22no—
532C2×Q8—6642no—
533C2×Q8—6642no—
534C2×Q8—6642no—
535C2×Q8—1664no—
536C2×Q8—1664no—
537C2×Q8—1664no—
538C2×Q8C23×D8312yes—
539C2×D4—21no—
540C2×D4—22no—
541C2×D4—22no—
542C2×D4—6642no—
543C2×D4—1664no—
544C2×D4C23×D8312yes—
545C22×C4—21no—
546C22×C4—21no—
547C22×C4—21no—
548C22×C4—831no—
549C22×C4—831no—
550C22×C4—831no—
551C22×C4—832no—
552C22×C4—832no—
553C22×C4—6642no—
554C22×C4—6642no—
555C22×C4—1664no—
556C22×C4—1661no—
557C22×C4—1661no—
558C22×C4—1661no—
559C22×C4—1661no—
560C22×C4—1664no—
561C22×C4—1662no—
562C22×C4—1662no—
563C22×C4D4×D8311yescharacteristic
564C22×C4D4×D8311yescharacteristic
565C22×C4C23×D8311yescharacteristic
566C2×C8—22no—
567C2×C8—22no—
568C2×C8—832no—
569C2×C8—832no—
570C2×C8—1662no—
571C2×C8—1662no—
572C2×C8C23×D8312yes—
573C2×C8C23×D8312yes—
574C4⋊C4—24no—
575C4⋊C4—24no—
576C4⋊C4—21no—
577C4⋊C4—21no—
578C4⋊C4—834no—
579C4⋊C4—834no—
580C4⋊C4—832no—
581C4⋊C4—832no—
582C4⋊C4—832no—
583C4⋊C4—832no—
584C4⋊C4—1664no—
585C4⋊C4—1664no—
586C4⋊C4—1664no—
587C4⋊C4—1664no—
588C4⋊C4—1664no—
589C4⋊C4—1664no—
590C4⋊C4—1661no—
591C4⋊C4—1661no—
592C4⋊C4—1661no—
593C4⋊C4—1661no—
594C4⋊C4—1664no—
595C4⋊C4—1664no—
596C4⋊C4C23×D8312yes—
597C4⋊C4C23×D8312yes—
598C22⋊C4—24no—
599C22⋊C4—24no—
600C22⋊C4—834no—
601C22⋊C4—834no—
602C22⋊C4—1664no—
603C22⋊C4—1664no—
604C22⋊C4—1664no—
605C22⋊C4—1664no—
606C42—832no—
607C42—832no—
608C42—1664no—
609C42—1664no—
610C42D4×D8312yes—
611C42C23×D8312yes—
612C23—22no—
613C23—42no—
614C23—42no—
615C23—42no—
616C23—832no—
617C23—1662no—
618C23—1662no—
619C23—1662no—
620C23C2×D4×D8311yescharacteristic
621Q8—22no—
622Q8—22no—
623Q8—42no—
624Q8—6644no—
625Q8—6644no—
626Q8—6644no—
627D4—22no—
628D4—22no—
629D4—42no—
630D4—6644no—
631C2×C4—22no—
632C2×C4—22no—
633C2×C4—22no—
634C2×C4—22no—
635C2×C4—22no—
636C2×C4—42no—
637C2×C4—42no—
638C2×C4—42no—
639C2×C4—3322no—
640C2×C4—3322no—
641C2×C4—3322no—
642C2×C4—3322no—
643C2×C4—832no—
644C2×C4—832no—
645C2×C4—832no—
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×C4—1664no—
656C2×C4—1662no—
657C2×C4—1662no—
658C2×C4C2×D4×D8312yes—
659C2×C4C2×D4×D8312yes—
660C2×C4C2×D4×D8311yescharacteristic
661C2×C4#1458183912yes—
662C2×C4#1458183912yes—
663C2×C4C24×D8311yescharacteristic
664C8—22no—
665C8—22no—
666C8—1662no—
667C8—1662no—
668C22—42no—
669C22—42no—
670C22—42no—
671C22—84no—
672C22—3324no—
673C22—1662no—
674C22—1662no—
675C22—1662no—
676C22#1912827112yes—
677C22#1912850312yes—
678C22#1912851512yes—
679C22C22×D4×D8311yescharacteristic
680C4—22no—
681C4—22no—
682C4—42no—
683C4—42no—
684C4—42no—
685C4—3322no—
686C4—3322no—
687C4—3322no—
688C4—3322no—
689C4—1662no—
690C4—1662no—
691C4—1662no—
692C4#1912827112yes—
693C4C2×#1458183911yescharacteristic
694C4C2×#1458183911yescharacteristic
695C2—82no—
696C2—3322no—
697C2#2491873914yesdirect product factor
698C2C2×#1912827111yescharacteristic
699C2C2×#1912850311yescharacteristic
700C2C2×#1912851511yescharacteristic
subgroupG/H
centerC23C2×D4×D83
commutator, cosocleC2×C4×C83C25
FrattiniC2×C4C24×D83
FittingC2×#488×C83C2
socleC23×C83C22×D4
prime radicalC2×#14581763C22
hypercenterC2×#488D83
hypocenterC83C2×#3243
LCSG ▷ C2×C4×C83 ▷ C2×C83 ▷ C83
UCSC1 ◁ C23 ◁ C2×C42 ◁ C2×#488

Complements

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

NH ≅ G/Ntype
1. C2×#19128331C2semidirect
3. #24918739C2direct (N × H)
4. C2×#19128111C2semidirect
5. C2×#19128106C2semidirect
6. C2×#19128060C2semidirect
7. C2×#19128035C2semidirect
8. C2×#19128041C2semidirect
11. C2×#19128010C2semidirect
12. C2×#19127994C2semidirect
13. C2×#19127999C2semidirect
14. C2×#19127979C2semidirect
15. C2×#19127760C2semidirect
16. C2×#488×C83C2semidirect
18. #19128331C22semidirect
40. #19128111C22semidirect
41. #19128106C22semidirect
42. #19128060C22semidirect
43. #19128041C22semidirect
44. #19128035C22semidirect
47. #19128010C22semidirect
48. #19127999C22semidirect
49. #19127994C22semidirect
50. #19127979C22semidirect
51. #19127760C22semidirect
71. #488×C83C22semidirect
346. C2×C83#3243semidirect
357. C2×#488D83semidirect
367. C83C2×#3243semidirect
396. #488C2×D83semidirect
697. C2#24918739direct (N × H)

Maximal subgroups

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

subgroupindex
C2×#191283312
C2×#191283202
#249187392
C2×#191281112
C2×#191281062
C2×#191280602
C2×#191280352
C2×#191280412
C2×#191280232
C2×#191280132
C2×#191280102
C2×#191279942
C2×#191279992
C2×#191279792
C2×#191277602
C2×#488×C832
C2×#324383