Finite Group Databasebeta

← C2×#24920307 #36284203

Subgroups — C2×#24920307 #36284203

Order 21248.

1810 conjugacy classes of subgroups.

The subgroup lattice has 700 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#19128429C211yesmaximal, characteristic, complemented
2C2×#19128424C211yesmaximal, characteristic
3#24920307C2116yesmaximal, direct product factor
4C2×#19128070C211yesmaximal, characteristic, complemented
5C2×#19128061C211yesmaximal, characteristic
6C2×#19128056C211yesmaximal, characteristic
7C2×#19128009C211yesmaximal, characteristic, complemented
8C2×#19127997C211yesmaximal, characteristic, complemented
9C2×#19128002C211yesmaximal, characteristic
10C2×#19127924C211yesmaximal, characteristic
11C2×#19127924C211yesmaximal, characteristic
12C2×#19127912C211yesmaximal, characteristic, complemented
13C2×#19127809C211yesmaximal, characteristic, complemented
14C2×#19127803C211yesmaximal, characteristic
15C2×C4×Dic332C211yesmaximal, characteristic, complemented
16C2×#446×C83C211yesmaximal, characteristic, complemented
17C22×Dic332C2211yescharacteristic
18C22×Dic332C2211yescharacteristic
19C22×#13050579C2211yescharacteristic
20#19128429—24no—
21#19128429C2218yescomplemented
22#19128424—24no—
23#19128424C2218yes—
24C2×#14581792C2211yescharacteristic
25C2×#14581792C2211yescharacteristic
26C2×#14581790—21no—
27C2×#14581787—21no—
28C2×#14581787—21no—
29C2×#14581784C2211yescharacteristic
30C2×#14581784C2211yescharacteristic
31C2×#14581782—21no—
32C2×#14581782—21no—
33C2×#14581780C2211yescharacteristic
34C2×#14581780C2211yescharacteristic
35C2×#14581768—21no—
36C2×C4×Dic166C2211yescharacteristic
37C2×C4×Dic166C2211yescharacteristic
38C2×C4×Dic166C2211yescharacteristic
39C2×C4×Dic166C2211yescharacteristic
40C2×C4×Dic166C2211yescharacteristic
41C2×#14581757—21no—
42C2×C4×D332C2211yescharacteristic
43C2×#14581750—21no—
44#19128070C2218yescomplemented
45#19128061C2218yes—
46#19128056C2218yes—
47#19128009C2218yescomplemented
48#19128002C2218yes—
49#19127997C2218yescomplemented
50#19127924C2218yes—
51#19127924C2218yes—
52#19127912C2218yescomplemented
53#19127809C2218yescomplemented
54#19127803C2218yes—
55C4×Dic332C2218yescomplemented
56C2×#14581726C2211yescharacteristic
57C2×#14581726C2211yescharacteristic
58C2×#14581724C2211yescharacteristic
59C2×#14581717C2211yescharacteristic
60C2×#14581717C2211yescharacteristic
61C2×#14581717C2211yescharacteristic
62C2×#14581717C2211yescharacteristic
63C2×#14581717C2211yescharacteristic
64C2×#14581717C2211yescharacteristic
65C2×#14581717C2211yescharacteristic
66C2×#14581714C2211yescharacteristic
67C2×#14581714C2211yescharacteristic
68C2×#14581714C2211yescharacteristic
69C2×C4×Q8×C83C2211yescharacteristic
70#446×C83C2218yescomplemented
71C2×C4⋊C8×C83C2211yescharacteristic
72C2×C4⋊C8×C83C2211yescharacteristic
73C2×C4⋊C8×C83C2211yescharacteristic
74C2×#97×C83C2211yescharacteristic
75C2×#97×C83C2211yescharacteristic
76C2×C4×C8×C83C2211yescharacteristic
77C22×Dic166—21no—
78C22×Dic166C2311yescharacteristic
79C22×Dic166C2311yescharacteristic
80C22×Dic166C2311yescharacteristic
81C22×D332C2311yescharacteristic
82C22×C4×D83—21no—
83C2×Dic332—24no—
84C2×Dic332—24no—
85C2×Dic332C2314yes—
86C2×Dic332C2314yes—
87C2×#13050579—24no—
88C2×#13050579C2314yes—
89#14581792—22no—
90#14581792—22no—
91#14581792C2314yes—
92#14581792C2314yes—
93#14581790—28no—
94#14581787—28no—
95#14581787—28no—
96#14581784—22no—
97#14581784—22no—
98#14581784C2314yes—
99#14581784C2314yes—
100#14581782—28no—
101#14581782—28no—
102#14581780—22no—
103#14581780—22no—
104#14581780C2314yes—
105#14581780C2314yes—
106#14581768—28no—
107C4×Dic166—22no—
108C4×Dic166—22no—
109C4×Dic166—22no—
110C4×Dic166—22no—
111C4×Dic166—22no—
112C4×Dic166C2314yes—
113C4×Dic166C2314yes—
114C4×Dic166C2314yes—
115C4×Dic166C2314yes—
116C4×Dic166C2314yes—
117#14581757—28no—
118C4×D332—22no—
119C4×D332C2314yes—
120#14581750—28no—
121C2×C4⋊Dic83—21no—
122C2×C4⋊Dic83—21no—
123C2×C4⋊Dic83—21no—
124C2×C4⋊Dic83C2311yescharacteristic
125C2×C4⋊Dic83C2311yescharacteristic
126C2×C4⋊Dic83C2311yescharacteristic
127C2×C4⋊Dic83C2311yescharacteristic
128C2×Dic83⋊C4—21no—
129C2×Dic83⋊C4—21no—
130C2×Dic83⋊C4—21no—
131C2×Dic83⋊C4—21no—
132C2×Dic83⋊C4—21no—
133C2×Dic83⋊C4—21no—
134C2×Dic83⋊C4—21no—
135C2×Dic83⋊C4—21no—
136C2×Dic83⋊C4—21no—
137C2×(C2×D83)⋊C4—21no—
138C2×(C2×D83)⋊C4—21no—
139C2×(C2×D83)⋊C4—21no—
140C2×(C2×D83)⋊C4—21no—
141C2×(C2×D83)⋊C4—21no—
142C2×C4×Dic83—21no—
143C2×C4×Dic83—21no—
144C2×C4×Dic83—21no—
145C2×C4×Dic83—21no—
146C2×C4×Dic83—21no—
147#14581726C2314yes—
148#14581726C2314yes—
149#14581724C2314yes—
150#14581717C2314yes—
151#14581717C2314yes—
152#14581717C2314yes—
153#14581717C2314yes—
154#14581717C2314yes—
155#14581717C2314yes—
156#14581717C2314yes—
157#14581714C2314yes—
158#14581714C2314yes—
159#14581714C2314yes—
160C22×Q8×C83D411yescharacteristic
161C22×C8×C83C2311yescharacteristic
162C22×C8×C83C2311yescharacteristic
163C22×C8×C83C2311yescharacteristic
164C22×C8×C83C2311yescharacteristic
165C4×Q8×C83D414yes—
166C4×Q8×C83C2314yes—
167C2×C4⋊C4×C83D411yescharacteristic
168C2×C4⋊C4×C83D411yescharacteristic
169C2×C4⋊C4×C83D411yescharacteristic
170C2×C42×C83C2311yescharacteristic
171C2×C42×C83C2311yescharacteristic
172C2×C42×C83C2311yescharacteristic
173C4⋊C8×C83C2314yes—
174C4⋊C8×C83C2314yes—
175C4⋊C8×C83C2314yes—
176#97×C83C2314yes—
177#97×C83C2314yes—
178C4×C8×C83C2314yes—
179C23×D83—21no—
180C2×Dic166—21no—
181C2×Dic166—22no—
182C2×Dic166—22no—
183C2×Dic166—22no—
184C2×Dic166—22no—
185C2×Dic166—22no—
186C2×Dic166—21no—
187C2×Dic166—21no—
188C2×Dic166—24no—
189C2×Dic166—44no—
190C2×Dic166#4114yes—
191C2×Dic166C2412yes—
192C2×Dic166C2412yes—
193C2×Dic166C2412yes—
194C2×D332—22no—
195C2×D332—22no—
196C2×D332—21no—
197C2×D332C2412yes—
198C22×Dic83—21no—
199C22×Dic83—21no—
200C22×Dic83—21no—
201C22×Dic83—21no—
202C22×Dic83—21no—
203C22×Dic83—21no—
204C22×Dic83—21no—
205C2×C4×D83—24no—
206C2×C4×D83—44no—
207Dic332—28no—
208Dic332—28no—
209#13050579—28no—
210C4⋊Dic83—24no—
211C4⋊Dic83—24no—
212C4⋊Dic83—21no—
213C4⋊Dic83—21no—
214C4⋊Dic83—21no—
215C4⋊Dic83—24no—
216C4⋊Dic83—21no—
217C4⋊Dic83C2412yes—
218C4⋊Dic83C2412yes—
219C4⋊Dic83C2412yes—
220C4⋊Dic83C2412yes—
221Dic83⋊C4—24no—
222Dic83⋊C4—24no—
223Dic83⋊C4—24no—
224Dic83⋊C4—24no—
225Dic83⋊C4—24no—
226Dic83⋊C4—24no—
227Dic83⋊C4—24no—
228Dic83⋊C4—24no—
229Dic83⋊C4—24no—
230(C2×D83)⋊C4—24no—
231(C2×D83)⋊C4—24no—
232(C2×D83)⋊C4—24no—
233(C2×D83)⋊C4—24no—
234(C2×D83)⋊C4—24no—
235C4×Dic83—24no—
236C4×Dic83—24no—
237C4×Dic83—24no—
238C4×Dic83—24no—
239C4×Dic83—24no—
240C2×Q8×C83—42no—
241C2×Q8×C83C2×D414yes—
242C22×C4×C83C2×D411yescharacteristic
243C22×C4×C83C2×D411yescharacteristic
244C22×C4×C83C2×D411yescharacteristic
245C22×C4×C83C2×D411yescharacteristic
246C22×C4×C83C2×D411yescharacteristic
247C22×C4×C83C2×D411yescharacteristic
248C22×C4×C83C2411yescharacteristic
249C2×C8×C83—22no—
250C2×C8×C83—22no—
251C2×C8×C83—22no—
252C2×C8×C83—22no—
253C2×C8×C83C2412yes—
254C2×C8×C83C2412yes—
255C2×C8×C83C2412yes—
256C2×C8×C83C2412yes—
257C4⋊C4×C83C2×D414yes—
258C4⋊C4×C83C2×D414yes—
259C4⋊C4×C83C2×D414yes—
260C42×C83C2×D412yes—
261C42×C83C2×D412yes—
262C42×C83C2×D412yes—
263C42×C83C2412yes—
264C42×C83C2412yes—
265C42×C83C2412yes—
266C23×C83C22×D411yescharacteristic
267C22×D83—22no—
268C22×D83—42no—
269C22×D83—42no—
270C22×D83—42no—
271Q8×C83—44no—
272C2×C4×C83—22no—
273C2×C4×C83—22no—
274C2×C4×C83—22no—
275C2×C4×C83—22no—
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×D412yes—
284C2×C4×C83C22×D411yescharacteristic
285C2×C4×C83C2×#4112yes—
286C2×C4×C832−1+412yes—
287C2×C4×C83C2511yescharacteristic
288C2×Dic83—24no—
289C2×Dic83—22no—
290C2×Dic83—22no—
291C2×Dic83—22no—
292C2×Dic83—22no—
293C2×Dic83—22no—
294C2×Dic83—22no—
295C2×Dic83—22no—
296C2×Dic83—42no—
297C2×Dic83—42no—
298C2×Dic83—42no—
299C2×Dic83—42no—
300C2×Dic83—42no—
301C2×Dic83—42no—
302D332—22no—
303D332—22no—
304D332—42no—
305C4×D83—48no—
306Dic166—24no—
307Dic166—22no—
308Dic166—22no—
309Dic166—22no—
310Dic166—22no—
311Dic166—22no—
312Dic166—48no—
313Dic166—42no—
314Dic166—42no—
315Dic166C2×#4114yes—
316C8×C83—22no—
317C8×C83—22no—
318C8×C83—22no—
319C8×C83—22no—
320C22×C83#54812yes—
321C22×C83#57512yes—
322C22×C83#57812yes—
323C22×C83C23×D411yescharacteristic
324C2×D83—42no—
325C2×D83—42no—
326C2×D83—42no—
327C2×D83—84no—
328C4×C83—22no—
329C4×C83—22no—
330C4×C83—22no—
331C4×C83—22no—
332C4×C83—22no—
333C4×C83—22no—
334C4×C83#54812yes—
335C4×C83C22×#4111yescharacteristic
336C4×C83C2×2−1+411yescharacteristic
337Dic83—24no—
338Dic83—42no—
339Dic83—42no—
340Dic83—42no—
341Dic83—42no—
342Dic83—42no—
343Dic83—42no—
344C2×#3377—831nomaximal, Sylow
345C2×C83#337714yescomplemented
346C2×C83C2×#54811yescharacteristic
347C2×C83C2×#57511yescharacteristic
348C2×C83C2×#57811yescharacteristic
349D83—82no—
350C2×#557—831no—
351C2×#556—831no—
352#3377—8316no—
353C2×#491—831no—
354C2×#489—831no—
355C2×#488—831no—
356C2×#479—831no—
357C2×#477—831no—
358C2×#478—831no—
359C2×#464—831no—
360C2×#464—831no—
361C2×#462—831no—
362C2×#446D8311yescharacteristic, complemented
363C2×#441—831no—
364C2×#440—831no—
365C2×C4×Q16—831no—
366C83C2×#337711yescharacteristic, complemented, Sylow
367C22×Q16—831no—
368C22×Q16—831no—
369C22×SD16—831no—
370#557—838no—
371#557—1664no—
372#556—838no—
373#556—1664no—
374C2×C4⋊Q8—831no—
375C2×C4⋊Q8—831no—
376C2×C4⋊Q8—1661no—
377C2×#126—1661no—
378C2×#126—1661no—
379C2×#125—831no—
380C2×#125—831no—
381C2×#125—1661no—
382C2×#125—1661no—
383C2×#124—831no—
384C2×#124—831no—
385C2×C22⋊Q8—1661no—
386C2×C4×Q8—831no—
387C2×C4×Q8—831no—
388C2×C4×Q8—831no—
389C2×C4×Q8—831no—
390C2×C4×Q8—831no—
391C2×C4×Q8—1661no—
392C2×C4×Q8C2×D8311yescharacteristic
393C2×C4×D4—831no—
394C2×#117—1661no—
395#491—838no—
396#489—838no—
397#488—838no—
398#479—838no—
399#478—838no—
400#477—838no—
401#464—838no—
402#464—838no—
403#462—838no—
404#446C2×D8318yescomplemented
405#441—838no—
406#440—838no—
407C4×Q16—838no—
408C2×#107—831no—
409C2×#107—831no—
410C2×#106—831no—
411C2×C4⋊C8C2×D8311yescharacteristic
412C2×C4⋊C8C2×D8311yescharacteristic
413C2×C4⋊C8C2×D8311yescharacteristic
414C2×#103—831no—
415C2×#103—831no—
416C2×#103—831no—
417C2×#103—831no—
418C2×#103—831no—
419C2×#103—831no—
420C2×#103—831no—
421C2×#102—831no—
422C2×#102—831no—
423C2×#102—831no—
424C2×#97C2×D8311yescharacteristic
425C2×#97C2×D8311yescharacteristic
426C2×C4×C8C2×D8311yescharacteristic
427C22×Q8—831no—
428C22×Q8—831no—
429C22×Q8—831no—
430C22×Q8—1661no—
431C22×Q8D33211yescharacteristic
432C22×D4—831no—
433C23×C4—1661no—
434C2×Q16—834no—
435C2×Q16—834no—
436C2×Q16—1664no—
437C2×Q16—1664no—
438C2×SD16—834no—
439C2×SD16—1664no—
440C22×C8C22×D8311yescharacteristic
441C22×C8C22×D8311yescharacteristic
442C22×C8C22×D8311yescharacteristic
443C22×C8C22×D8311yescharacteristic
444C4⋊Q8—834no—
445C4⋊Q8—834no—
446C4⋊Q8—1668no—
447C4⋊Q8—1662no—
448C4⋊Q8—1662no—
449#126—1668no—
450#126—1668no—
451#125—834no—
452#125—834no—
453#125—1668no—
454#125—1668no—
455#125—1662no—
456#125—1662no—
457#124—834no—
458#124—834no—
459#124—1662no—
460#124—1662no—
461C22⋊Q8—1668no—
462C4×Q8—834no—
463C4×Q8—834no—
464C4×Q8—834no—
465C4×Q8—834no—
466C4×Q8—834no—
467C4×Q8—1668no—
468C4×Q8—1662no—
469C4×Q8—1662no—
470C4×Q8—1662no—
471C4×Q8—1662no—
472C4×Q8—1662no—
473C4×Q8D33214yes—
474C4×Q8C22×D8314yes—
475C4×D4—834no—
476C4×D4—1662no—
477#117—1668no—
478C2×C4⋊C4—831no—
479C2×C4⋊C4—831no—
480C2×C4⋊C4—831no—
481C2×C4⋊C4—831no—
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⋊C4—1661no—
492C2×C4⋊C4—1661no—
493C2×C4⋊C4—1661no—
494C2×C4⋊C4D33211yescharacteristic
495C2×C4⋊C4D33211yescharacteristic
496C2×C4⋊C4D33211yescharacteristic
497C2×C22⋊C4—1661no—
498C2×C22⋊C4—1661no—
499C2×C22⋊C4—1661no—
500C2×C22⋊C4—1661no—
501C2×C22⋊C4—1661no—
502C2×C42—1661no—
503C2×C42—1661no—
504C2×C42—1661no—
505C2×C42—1661no—
506C2×C42—1661no—
507C2×C42C22×D8311yescharacteristic
508C2×C42C22×D8311yescharacteristic
509C2×C42C22×D8311yescharacteristic
510#107—834no—
511#107—834no—
512#106—834no—
513C4⋊C8C22×D8314yes—
514C4⋊C8C22×D8314yes—
515C4⋊C8C22×D8314yes—
516#103—834no—
517#103—834no—
518#103—834no—
519#103—834no—
520#103—834no—
521#103—834no—
522#103—834no—
523#102—834no—
524#102—834no—
525#102—834no—
526#97C22×D8314yes—
527#97C22×D8314yes—
528C4×C8C22×D8314yes—
529C24—1661no—
530C2×Q8—42no—
531C2×Q8—3324no—
532C2×Q8—834no—
533C2×Q8—832no—
534C2×Q8—832no—
535C2×Q8—832no—
536C2×Q8—1662no—
537C2×Q8—1662no—
538C2×Q8—1662no—
539C2×Q8—1662no—
540C2×Q8—1661no—
541C2×Q8—1661no—
542C2×Q8—1664no—
543C2×Q8—1661no—
544C2×Q8—1662no—
545C2×Q8C2×D33214yes—
546C2×D4—832no—
547C2×D4—1661no—
548C2×D4—1662no—
549C2×D4—1662no—
550C22×C4—3324no—
551C22×C4—1661no—
552C22×C4—1661no—
553C22×C4—1661no—
554C22×C4—1661no—
555C22×C4—1661no—
556C22×C4—1661no—
557C22×C4—1664no—
558C22×C4—1661no—
559C22×C4C2×D33211yescharacteristic
560C22×C4C2×D33211yescharacteristic
561C22×C4C2×D33211yescharacteristic
562C22×C4C2×D33211yescharacteristic
563C22×C4C2×D33211yescharacteristic
564C22×C4C2×D33211yescharacteristic
565C22×C4C23×D8311yescharacteristic
566Q16—1668no—
567Q16—1668no—
568SD16—1668no—
569C2×C8—22no—
570C2×C8—22no—
571C2×C8—22no—
572C2×C8—22no—
573C2×C8C23×D8312yes—
574C2×C8C23×D8312yes—
575C2×C8C23×D8312yes—
576C2×C8C23×D8312yes—
577C4⋊C4—832no—
578C4⋊C4—832no—
579C4⋊C4—832no—
580C4⋊C4—832no—
581C4⋊C4—1661no—
582C4⋊C4—1661no—
583C4⋊C4—1661no—
584C4⋊C4—1661no—
585C4⋊C4—1664no—
586C4⋊C4—1664no—
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⋊C4—1664no—
597C4⋊C4C2×D33214yes—
598C4⋊C4C2×D33214yes—
599C4⋊C4C2×D33214yes—
600C22⋊C4—1664no—
601C22⋊C4—1664no—
602C22⋊C4—1664no—
603C22⋊C4—1664no—
604C22⋊C4—1664no—
605C42—1664no—
606C42—1664no—
607C42—1664no—
608C42—1664no—
609C42—1664no—
610C42C2×D33212yes—
611C42C2×D33212yes—
612C42C2×D33212yes—
613C42C23×D8312yes—
614C42C23×D8312yes—
615C42C23×D8312yes—
616C23—3322no—
617C23—3322no—
618C23—3322no—
619C23—1662no—
620C23C22×D33211yescharacteristic
621Q8—44no—
622Q8—3328no—
623Q8—3322no—
624Q8—3322no—
625Q8—834no—
626Q8—1662no—
627Q8—1662no—
628Q8—1662no—
629Q8—1662no—
630Q8—1664no—
631Q8—1662no—
632D4—3322no—
633D4—1662no—
634D4—1662no—
635C2×C4—22no—
636C2×C4—22no—
637C2×C4—22no—
638C2×C4—22no—
639C2×C4—22no—
640C2×C4—22no—
641C2×C4—3328no—
642C2×C4—3322no—
643C2×C4—3322no—
644C2×C4—3322no—
645C2×C4—3322no—
646C2×C4—3322no—
647C2×C4—3322no—
648C2×C4—1662no—
649C2×C4—1662no—
650C2×C4—1662no—
651C2×C4—1662no—
652C2×C4—1662no—
653C2×C4—1662no—
654C2×C4—1664no—
655C2×C4—1662no—
656C2×C4C22×D33212yes—
657C2×C4C22×D33212yes—
658C2×C4C22×D33212yes—
659C2×C4C22×D33212yes—
660C2×C4C22×D33212yes—
661C2×C4C22×D33212yes—
662C2×C4C22×D33211yescharacteristic
663C2×C4#41×D8312yes—
664C2×C4#1458184012yes—
665C2×C4C24×D8311yescharacteristic
666C8—22no—
667C8—22no—
668C8—22no—
669C8—22no—
670C22—3322no—
671C22—3322no—
672C22—3322no—
673C22—6644no—
674C22#1912836312yes—
675C22#1912850112yes—
676C22#1912851812yes—
677C22C23×D33211yescharacteristic
678C4—22no—
679C4—22no—
680C4—22no—
681C4—22no—
682C4—22no—
683C4—22no—
684C4—3322no—
685C4—3322no—
686C4—3322no—
687C4—3322no—
688C4—3322no—
689C4—3322no—
690C4—1664no—
691C4#1912836312yes—
692C4C2×#41×D8311yescharacteristic
693C4C2×#1458184011yescharacteristic
694C2—6642no—
695C2#2492030714yesdirect product factor
696C2C2×#1912836311yescharacteristic
697C2C2×#1912850111yescharacteristic
698C2C2×#1912851811yescharacteristic
subgroupG/H
centerC23C22×D332
commutator, cosocleC2×C4×C83C25
FrattiniC2×C4C24×D83
FittingC2×#446×C83C2
socleC23×C83C22×D4
prime radicalC22×D332C23
hypercenterC2×#446D83
hypocenterC83C2×#3377
LCSG ▷ C2×C4×C83 ▷ C2×C83 ▷ C83
UCSC1 ◁ C23 ◁ C2×C4×Q8 ◁ C2×#446

Complements

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

NH ≅ G/Ntype
1. C2×#19128429C2semidirect
3. #24920307C2direct (N × H)
4. C2×#19128070C2semidirect
7. C2×#19128009C2semidirect
8. C2×#19127997C2semidirect
12. C2×#19127912C2semidirect
13. C2×#19127809C2semidirect
15. C2×C4×Dic332C2semidirect
16. C2×#446×C83C2semidirect
21. #19128429C22semidirect
44. #19128070C22semidirect
47. #19128009C22semidirect
49. #19127997C22semidirect
52. #19127912C22semidirect
53. #19127809C22semidirect
55. C4×Dic332C22semidirect
70. #446×C83C22semidirect
345. C2×C83#3377semidirect
362. C2×#446D83semidirect
366. C83C2×#3377semidirect
404. #446C2×D83semidirect
695. C2#24920307direct (N × H)

Maximal subgroups

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

subgroupindex
C2×#191284292
C2×#191284242
#249203072
C2×#191280702
C2×#191280612
C2×#191280562
C2×#191280092
C2×#191279972
C2×#191280022
C2×#191279242
C2×#191279122
C2×#191278092
C2×#191278032
C2×C4×Dic3322
C2×#446×C832
C2×#337783