Finite Group Databasebeta

← C2×#24918762 #36276642

Subgroups — C2×#24918762 #36276642

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×#19128325C211yesmaximal, characteristic
3#24918762C2116yesmaximal, direct product factor
4C2×#19128097C211yesmaximal, characteristic, complemented
5C2×#19128061C211yesmaximal, characteristic, complemented
6C2×#19128058C211yesmaximal, characteristic, complemented
7C2×#19128021C211yesmaximal, characteristic
8C2×#19128044C211yesmaximal, characteristic, complemented
9C2×#19128028C211yesmaximal, characteristic
10C2×#19128033C211yesmaximal, characteristic, complemented
11C2×#19128007C211yesmaximal, characteristic, complemented
12C2×#19127985C211yesmaximal, characteristic, complemented
13C2×#19128004C211yesmaximal, characteristic, complemented
14C2×#19127990C211yesmaximal, characteristic, complemented
15C2×#19127763C211yesmaximal, characteristic, complemented
16C2×#501×C83C211yesmaximal, characteristic, complemented
17#19128331—24no—
18#19128331C2218yescomplemented
19#19128325—24no—
20#19128325C2218yes—
21C2×#14581792C2211yescharacteristic
22C2×#14581791—21no—
23C2×#14581791C2211yescharacteristic
24C2×#14581787—21no—
25C2×#14581783C2211yescharacteristic
26C2×#14581782—21no—
27C2×#14581781—21no—
28C2×#14581780C2211yescharacteristic
29C2×#14581777—21no—
30C2×#14581772—21no—
31C2×#14581772C2211yescharacteristic
32C2×#14581770—21no—
33C2×#14581768—21no—
34C2×#14581767C2211yescharacteristic
35C2×#14581757C2211yescharacteristic
36C2×#14581754C2211yescharacteristic
37C2×#14581750C2211yescharacteristic
38C2×#14581749C2211yescharacteristic
39C2×C4⋊C4×D83C2211yescharacteristic
40#19128097C2218yescomplemented
41#19128061C2218yescomplemented
42#19128058C2218yescomplemented
43#19128044C2218yescomplemented
44#19128033C2218yescomplemented
45#19128028C2218yes—
46#19128021C2218yes—
47#19128007C2218yescomplemented
48#19128004C2218yescomplemented
49#19127990C2218yescomplemented
50#19127985C2218yescomplemented
51#19127763C2218yescomplemented
52C2×#14581723C2211yescharacteristic
53C2×#14581723C2211yescharacteristic
54C2×#14581723C2211yescharacteristic
55C2×#14581723C2211yescharacteristic
56C2×Dic83⋊C8C2211yescharacteristic
57C2×Dic83⋊C8C2211yescharacteristic
58C2×#14581717C2211yescharacteristic
59C2×#14581717C2211yescharacteristic
60C2×#14581715C2211yescharacteristic
61C2×#14581715C2211yescharacteristic
62C2×#14581714C2211yescharacteristic
63C2×#14581714C2211yescharacteristic
64C2×#14581712C2211yescharacteristic
65C2×#14581712C2211yescharacteristic
66C2×(C2×D83)⋊C8C2211yescharacteristic
67C2×(C2×D83)⋊C8C2211yescharacteristic
68C2×C4×C83⋊C8C2211yescharacteristic
69C2×C4⋊Q8×C83C2211yescharacteristic
70C2×#125×C83C2211yescharacteristic
71#501×C83C2218yescomplemented
72C2×#107×C83C2211yescharacteristic
73C2×#107×C83C2211yescharacteristic
74C2×#106×C83C2211yescharacteristic
75C2×#106×C83C2211yescharacteristic
76C2×#97×C83C2211yescharacteristic
77C22×Dic166—21no—
78C22×Dic166—21no—
79C22×Dic166C2311yescharacteristic
80C22×D332—21no—
81C22×D332C2311yescharacteristic
82C22×C4×D83—21no—
83C22×C4×D83—21no—
84C22×C4×D83C2311yescharacteristic
85C22×C83⋊C8C2311yescharacteristic
86C22×C83⋊C8C2311yescharacteristic
87#14581792—22no—
88#14581792C2314yes—
89#14581791—28no—
90#14581791—22no—
91#14581791C2314yes—
92#14581787—28no—
93#14581783—22no—
94#14581783C2314yes—
95#14581782—28no—
96#14581781—28no—
97#14581780—22no—
98#14581780C2314yes—
99#14581777—28no—
100#14581772—22no—
101#14581772—28no—
102#14581772C2314yes—
103#14581770—28no—
104#14581768—28no—
105#14581767—22no—
106#14581767C2314yes—
107#14581757—22no—
108#14581757C2314yes—
109#14581754—22no—
110#14581754C2314yes—
111#14581750—22no—
112#14581750C2314yes—
113#14581749D414yes—
114#14581749C2314yes—
115C2×C4⋊Dic83—21no—
116C2×C4⋊Dic83—21no—
117C2×C4⋊Dic83—21no—
118C2×C4⋊Dic83C2311yescharacteristic
119C2×C4⋊Dic83C2311yescharacteristic
120C2×Dic83⋊C4—21no—
121C2×Dic83⋊C4—21no—
122C2×Dic83⋊C4—21no—
123C2×Dic83⋊C4—21no—
124C2×Dic83⋊C4D411yescharacteristic
125C2×Dic83⋊C4D411yescharacteristic
126C4⋊C4×D83—22no—
127C4⋊C4×D83C2314yes—
128C2×(C2×D83)⋊C4—21no—
129C2×(C2×D83)⋊C4—21no—
130C2×(C2×D83)⋊C4—21no—
131C2×(C2×D83)⋊C4—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#14581723C2314yes—
140#14581723C2314yes—
141#14581723C2314yes—
142#14581723C2314yes—
143Dic83⋊C8C2314yes—
144Dic83⋊C8C2314yes—
145#14581717C2314yes—
146#14581717C2314yes—
147#14581715C2314yes—
148#14581715C2314yes—
149#14581714C2314yes—
150#14581714C2314yes—
151#14581712C2314yes—
152#14581712C2314yes—
153(C2×D83)⋊C8C2314yes—
154(C2×D83)⋊C8C2314yes—
155C4×C83⋊C8C2314yes—
156C22×Q8×C83—21no—
157C22×C8×C83C2311yescharacteristic
158C22×C8×C83C2311yescharacteristic
159C4⋊Q8×C83—22no—
160C4⋊Q8×C83C2314yes—
161#125×C83—22no—
162#125×C83C2314yes—
163C2×C4⋊C4×C83—21no—
164C2×C4⋊C4×C83—21no—
165C2×C4⋊C4×C83—21no—
166C2×C4⋊C4×C83C2311yescharacteristic
167C2×C4⋊C4×C83C2311yescharacteristic
168C2×C4⋊C4×C83C2311yescharacteristic
169C2×C4⋊C4×C83C2311yescharacteristic
170C2×C42×C83C2311yescharacteristic
171#107×C83C2314yes—
172#107×C83C2314yes—
173#106×C83C2314yes—
174#106×C83C2314yes—
175#97×C83C2314yes—
176C23×D83—21no—
177C23×D83C2×D411yescharacteristic
178C2×Dic166—22no—
179C2×Dic166—22no—
180C2×Dic166—21no—
181C2×Dic166—24no—
182C2×Dic166—24no—
183C2×Dic166—82no—
184C2×Dic166—82no—
185C2×Dic166C2412yes—
186C2×D332—22no—
187C2×D332—22no—
188C2×D332—21no—
189C2×D332—24no—
190C2×D332—82no—
191C2×D332C2412yes—
192C22×Dic83—21no—
193C22×Dic83—21no—
194C22×Dic83—21no—
195C22×Dic83C2×D411yescharacteristic
196C22×Dic83C2×D411yescharacteristic
197C22×Dic83C2×D411yescharacteristic
198C2×C4×D83—22no—
199C2×C4×D83—22no—
200C2×C4×D83—24no—
201C2×C4×D83—24no—
202C2×C4×D83—82no—
203C2×C4×D83—82no—
204C2×C4×D83C2×D412yes—
205C2×C4×D83C2412yes—
206C2×C83⋊C8—22no—
207C2×C83⋊C8—22no—
208C2×C83⋊C8C2412yes—
209C2×C83⋊C8C2412yes—
210C4⋊Dic83—24no—
211C4⋊Dic83—21no—
212C4⋊Dic83—21no—
213C4⋊Dic83—24no—
214C4⋊Dic83—24no—
215C4⋊Dic83C2412yes—
216C4⋊Dic83C2412yes—
217Dic83⋊C4—24no—
218Dic83⋊C4—24no—
219Dic83⋊C4—24no—
220Dic83⋊C4—24no—
221Dic83⋊C4C2×D414yes—
222Dic83⋊C4C2×D414yes—
223(C2×D83)⋊C4—24no—
224(C2×D83)⋊C4—24no—
225(C2×D83)⋊C4—24no—
226(C2×D83)⋊C4—24no—
227(C2×D83)⋊C4—24no—
228(C2×D83)⋊C4—24no—
229(C2×D83)⋊C4C2×D414yes—
230(C2×D83)⋊C4C2×D414yes—
231C4×Dic83—24no—
232C4×Dic83—24no—
233C4×Dic83C2×D412yes—
234C4×Dic83C2412yes—
235C2×Q8×C83—24no—
236C2×Q8×C83—82no—
237C22×C4×C83—21no—
238C22×C4×C83—21no—
239C22×C4×C83—21no—
240C22×C4×C83—21no—
241C22×C4×C83C2×D411yescharacteristic
242C22×C4×C83C2×D411yescharacteristic
243C22×C4×C83C2411yescharacteristic
244C2×C8×C83—22no—
245C2×C8×C83—22no—
246C2×C8×C83C2412yes—
247C2×C8×C83C2412yes—
248C4⋊C4×C83—21no—
249C4⋊C4×C83—24no—
250C4⋊C4×C83—24no—
251C4⋊C4×C83—21no—
252C4⋊C4×C83—24no—
253C4⋊C4×C83—21no—
254C4⋊C4×C83—21no—
255C4⋊C4×C83C2412yes—
256C4⋊C4×C83C2412yes—
257C4⋊C4×C83C2412yes—
258C4⋊C4×C83C2412yes—
259C42×C83C2×D412yes—
260C42×C83C2412yes—
261C23×C83C22×D411yescharacteristic
262C22×D83—22no—
263C22×D83—22no—
264C22×D83—22no—
265C22×D83—22no—
266C22×D83—42no—
267C22×D83—42no—
268C22×D83—42no—
269C22×D83C22×D412yes—
270Q8×C83—84no—
271C2×C4×C83—22no—
272C2×C4×C83—22no—
273C2×C4×C83—22no—
274C2×C4×C83—22no—
275C2×C4×C83—22no—
276C2×C4×C83—22no—
277C2×C4×C83—42no—
278C2×C4×C83—42no—
279C2×C4×C83—42no—
280C2×C4×C83—42no—
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
287C2×Dic83—22no—
288C2×Dic83—22no—
289C2×Dic83—22no—
290C2×Dic83—22no—
291C2×Dic83—22no—
292C2×Dic83—22no—
293C2×Dic83—42no—
294C2×Dic83—42no—
295C2×Dic83—42no—
296C2×Dic83C22×D412yes—
297C2×Dic83C22×D412yes—
298C2×Dic83C22×D412yes—
299D332—22no—
300D332—22no—
301D332—42no—
302D332—84no—
303C4×D83—24no—
304C4×D83—22no—
305C4×D83—22no—
306C4×D83—84no—
307C4×D83—84no—
308Dic166—22no—
309Dic166—22no—
310Dic166—42no—
311Dic166—84no—
312Dic166—84no—
313C8×C83—22no—
314C8×C83—22no—
315C83⋊C8—22no—
316C83⋊C8—22no—
317C22×C83#53612yes—
318C22×C83#57712yes—
319C22×C83#57712yes—
320C22×C83C23×D411yescharacteristic
321C2×D83—22no—
322C2×D83—22no—
323C2×D83—22no—
324C2×D83—44no—
325C2×D83—42no—
326C2×D83—42no—
327C2×D83—42no—
328C2×D83—84no—
329C4×C83—22no—
330C4×C83—22no—
331C4×C83—42no—
332C4×C83—42no—
333C4×C83—42no—
334C4×C83—42no—
335C4×C83#53612yes—
336C4×C83C2×2−1+411yescharacteristic
337C4×C83C2×2−1+411yescharacteristic
338Dic83—22no—
339Dic83—22no—
340Dic83—22no—
341Dic83—42no—
342Dic83—42no—
343Dic83—42no—
344C2×#3244—831nomaximal, Sylow
345C2×C83#324414yescomplemented
346C2×C83C2×#53611yescharacteristic
347C2×C83C2×#57711yescharacteristic
348C2×C83C2×#57711yescharacteristic
349D83—42no—
350D83—82no—
351C2×#544—831no—
352C2×#542—831no—
353#3244—8316no—
354C2×#501D8311yescharacteristic, complemented
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×#433—831no—
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—1661no—
375C2×C4⋊Q8C2×D8311yescharacteristic
376C2×#126—1661no—
377C2×#125—831no—
378C2×#125—1661no—
379C2×#125C2×D8311yescharacteristic
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×#117—831no—
392C22×C4⋊C4—831no—
393#501C2×D8318yescomplemented
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#433—838no—
406C2×#107C2×D8311yescharacteristic
407C2×#107C2×D8311yescharacteristic
408C2×#106—831no—
409C2×#106—831no—
410C2×#106—831no—
411C2×#106—831no—
412C2×#106C2×D8311yescharacteristic
413C2×#106C2×D8311yescharacteristic
414C2×C4⋊C8—831no—
415C2×C4⋊C8—831no—
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⋊C8—831no—
425C2×C22⋊C8—831no—
426C2×#97C2×D8311yescharacteristic
427C2×C4×C8—831no—
428C22×Q8—21no—
429C22×Q8—831no—
430C22×Q8—1661no—
431C22×Q8—1661no—
432C22×D4—831no—
433C22×D4—1661no—
434C23×C4—831no—
435C23×C4—1661no—
436C23×C4—1661no—
437C22×C8—831no—
438C22×C8—831no—
439C22×C8C22×D8311yescharacteristic
440C22×C8C22×D8311yescharacteristic
441C4⋊Q8—22no—
442C4⋊Q8—834no—
443C4⋊Q8—834no—
444C4⋊Q8—1662no—
445C4⋊Q8—1668no—
446C4⋊Q8—1662no—
447C4⋊Q8C22×D8314yes—
448#126—1668no—
449#125—22no—
450#125—834no—
451#125—1662no—
452#125—1668no—
453#125C22×D8314yes—
454#124—834no—
455#124—1668no—
456#124—1662no—
457#123—1668no—
458C22⋊Q8—834no—
459C22⋊Q8—1668no—
460C22⋊Q8—1668no—
461C22⋊Q8—1662no—
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—834no—
471#117—834no—
472#117—1662no—
473C2×C4⋊C4—21no—
474C2×C4⋊C4—21no—
475C2×C4⋊C4—21no—
476C2×C4⋊C4—831no—
477C2×C4⋊C4—831no—
478C2×C4⋊C4—831no—
479C2×C4⋊C4—831no—
480C2×C4⋊C4—834no—
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⋊C4C22×D8311yescharacteristic
490C2×C4⋊C4C22×D8311yescharacteristic
491C2×C4⋊C4C22×D8311yescharacteristic
492C2×C4⋊C4C22×D8311yescharacteristic
493C2×C22⋊C4—831no—
494C2×C22⋊C4—831no—
495C2×C22⋊C4—1661no—
496C2×C22⋊C4—1661no—
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#107C22×D8314yes—
506#107C22×D8314yes—
507#106—834no—
508#106—834no—
509#106—834no—
510#106—834no—
511#106C22×D8314yes—
512#106C22×D8314yes—
513C4⋊C8—834no—
514C4⋊C8—834no—
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⋊C8—834no—
524C22⋊C8—834no—
525#97C22×D8314yes—
526C4×C8—834no—
527C24—831no—
528C24—1661no—
529C2×Q8—24no—
530C2×Q8—82no—
531C2×Q8—832no—
532C2×Q8—6642no—
533C2×Q8—6642no—
534C2×Q8—1664no—
535C2×Q8—1662no—
536C2×Q8—1662no—
537C2×Q8—1661no—
538C2×Q8—1664no—
539C2×D4—832no—
540C2×D4—6642no—
541C2×D4—1664no—
542C2×D4—1661no—
543C2×D4—1662no—
544C2×D4—1662no—
545C22×C4—21no—
546C22×C4—21no—
547C22×C4—21no—
548C22×C4—21no—
549C22×C4—831no—
550C22×C4—831no—
551C22×C4—831no—
552C22×C4—832no—
553C22×C4—832no—
554C22×C4—6642no—
555C22×C4—6642no—
556C22×C4—1664no—
557C22×C4—1664no—
558C22×C4—1661no—
559C22×C4—1661no—
560C22×C4—1661no—
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—24no—
577C4⋊C4—21no—
578C4⋊C4—21no—
579C4⋊C4—21no—
580C4⋊C4—21no—
581C4⋊C4—834no—
582C4⋊C4—834no—
583C4⋊C4—832no—
584C4⋊C4—832no—
585C4⋊C4—1664no—
586C4⋊C4—1664no—
587C4⋊C4—1664no—
588C4⋊C4—1664no—
589C4⋊C4—1664no—
590C4⋊C4—1664no—
591C4⋊C4—1661no—
592C4⋊C4—1661no—
593C4⋊C4—1664no—
594C4⋊C4C23×D8312yes—
595C4⋊C4C23×D8312yes—
596C4⋊C4C23×D8312yes—
597C4⋊C4C23×D8312yes—
598C22⋊C4—834no—
599C22⋊C4—834no—
600C22⋊C4—1664no—
601C22⋊C4—1664no—
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—3322no—
613C23—3322no—
614C23—3322no—
615C23—832no—
616C23—1662no—
617C23—1662no—
618C23—1662no—
619C23—1662no—
620C23C2×D4×D8311yescharacteristic
621Q8—84no—
622Q8—3322no—
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—22no—
637C2×C4—42no—
638C2×C4—42no—
639C2×C4—42no—
640C2×C4—42no—
641C2×C4—3322no—
642C2×C4—3322no—
643C2×C4—3322no—
644C2×C4—832no—
645C2×C4—832no—
646C2×C4—832no—
647C2×C4—6644no—
648C2×C4—6644no—
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#1458184012yes—
662C2×C4#1458184012yes—
663C2×C4C24×D8311yescharacteristic
664C8—22no—
665C8—22no—
666C8—1662no—
667C8—1662no—
668C22—3324no—
669C22—3322no—
670C22—3322no—
671C22—3322no—
672C22—6644no—
673C22—1662no—
674C22—1662no—
675C22—1662no—
676C22#1912827612yes—
677C22#1912851012yes—
678C22#1912851112yes—
679C22C22×D4×D8311yescharacteristic
680C4—22no—
681C4—22no—
682C4—42no—
683C4—42no—
684C4—42no—
685C4—42no—
686C4—3322no—
687C4—3322no—
688C4—3322no—
689C4—1662no—
690C4—1662no—
691C4—1662no—
692C4#1912827612yes—
693C4C2×#1458184011yescharacteristic
694C4C2×#1458184011yescharacteristic
695C2—3322no—
696C2—6642no—
697C2#2491876214yesdirect product factor
698C2C2×#1912827611yescharacteristic
699C2C2×#1912851011yescharacteristic
700C2C2×#1912851111yescharacteristic
subgroupG/H
centerC23C2×D4×D83
commutator, cosocleC2×C4×C83C25
FrattiniC2×C4C24×D83
FittingC2×#501×C83C2
socleC23×C83C22×D4
prime radicalC2×#14581767C22
hypercenterC2×#501D83
hypocenterC83C2×#3244
LCSG ▷ C2×C4×C83 ▷ C2×C83 ▷ C83
UCSC1 ◁ C23 ◁ C2×C42 ◁ C2×#501

Complements

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

NH ≅ G/Ntype
1. C2×#19128331C2semidirect
3. #24918762C2direct (N × H)
4. C2×#19128097C2semidirect
5. C2×#19128061C2semidirect
6. C2×#19128058C2semidirect
8. C2×#19128044C2semidirect
10. C2×#19128033C2semidirect
11. C2×#19128007C2semidirect
12. C2×#19127985C2semidirect
13. C2×#19128004C2semidirect
14. C2×#19127990C2semidirect
15. C2×#19127763C2semidirect
16. C2×#501×C83C2semidirect
18. #19128331C22semidirect
40. #19128097C22semidirect
41. #19128061C22semidirect
42. #19128058C22semidirect
43. #19128044C22semidirect
44. #19128033C22semidirect
47. #19128007C22semidirect
48. #19128004C22semidirect
49. #19127990C22semidirect
50. #19127985C22semidirect
51. #19127763C22semidirect
71. #501×C83C22semidirect
345. C2×C83#3244semidirect
354. C2×#501D83semidirect
367. C83C2×#3244semidirect
393. #501C2×D83semidirect
697. C2#24918762direct (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×#191283252
#249187622
C2×#191280972
C2×#191280612
C2×#191280582
C2×#191280212
C2×#191280442
C2×#191280282
C2×#191280332
C2×#191280072
C2×#191279852
C2×#191280042
C2×#191279902
C2×#191277632
C2×#501×C832
C2×#324483