Finite Group Databasebeta

← C2×#20255914 #27094901

Subgroups — C2×#20255914 #27094901

Order 12032.

1834 conjugacy classes of subgroups.

The subgroup lattice has 712 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#15689841C211yesmaximal, characteristic
2C2×#15689812C211yesmaximal, characteristic
3#20255914C2116yesmaximal, direct product factor
4C2×#15689530C211yesmaximal, characteristic, complemented
5C2×#15689460C211yesmaximal, characteristic, complemented
6C2×#15689466C211yesmaximal, characteristic, complemented
7C2×#15689464C211yesmaximal, characteristic, complemented
8C2×#15689464C211yesmaximal, characteristic, complemented
9C2×#15689429C211yesmaximal, characteristic, complemented
10C2×#15689417C211yesmaximal, characteristic, complemented
11C2×#15689382C211yesmaximal, characteristic, complemented
12C2×#15689364C211yesmaximal, characteristic, complemented
13C2×#15689229C211yesmaximal, characteristic, complemented
14C2×#15689194C211yesmaximal, characteristic
15C2×#15689162C211yesmaximal, characteristic, complemented
16C2×C47×#427C211yesmaximal, characteristic, complemented
17C22×Dic188C2211yescharacteristic
18C22×#10625324C2211yescharacteristic
19#15689841—24no—
20#15689841C2218yes—
21#15689812—24no—
22#15689812C2218yes—
23C2×#13094023C2211yescharacteristic
24C2×#13094018—21no—
25C2×#13094017—21no—
26C2×#13094017—21no—
27C2×#13094016—21no—
28C2×#13094015C2211yescharacteristic
29C2×#13094010—21no—
30C2×#13094006—21no—
31C2×#13094004C2211yescharacteristic
32C2×#13094004C2211yescharacteristic
33C2×#13094003C2211yescharacteristic
34C2×#13094003C2211yescharacteristic
35C2×C4×Dic94—21no—
36C2×#13093989C2211yescharacteristic
37C2×#13093989C2211yescharacteristic
38C2×C4×C22⋊D47C2211yescharacteristic
39C2×#13093982C2211yescharacteristic
40C2×#13093981—21no—
41C2×C4⋊C4×D47C2211yescharacteristic
42#15689530C2218yescomplemented
43#15689466C2218yescomplemented
44#15689464C2218yescomplemented
45#15689464C2218yescomplemented
46#15689460C2218yescomplemented
47#15689429C2218yescomplemented
48#15689417C2218yescomplemented
49#15689382C2218yescomplemented
50#15689364C2218yescomplemented
51#15689229C2218yescomplemented
52#15689194C2218yes—
53#15689162C2218yescomplemented
54C2×#13093958C2211yescharacteristic
55C2×#13093957C2211yescharacteristic
56C2×#13093957C2211yescharacteristic
57C2×#13093955C2211yescharacteristic
58C2×#13093955C2211yescharacteristic
59C2×Dic47⋊C8C2211yescharacteristic
60C2×#13093949C2211yescharacteristic
61C2×#13093949C2211yescharacteristic
62C2×#13093947C2211yescharacteristic
63C2×#13093947C2211yescharacteristic
64C2×#13093947C2211yescharacteristic
65C2×#13093947C2211yescharacteristic
66C2×C22⋊(C47⋊C8)C2211yescharacteristic
67C2×(C2×D47)⋊C8C2211yescharacteristic
68C2×#13093934C2211yescharacteristic
69C23×C8×C47C2211yescharacteristic
70C2×#117×C47C2211yescharacteristic
71C2×#117×C47C2211yescharacteristic
72C47×#427C2218yescomplemented
73C2×#107×C47C2211yescharacteristic
74C2×#107×C47C2211yescharacteristic
75C2×#106×C47C2211yescharacteristic
76C2×#106×C47C2211yescharacteristic
77C22×Dic94—21no—
78C22×Dic94C2311yescharacteristic
79C22×Dic94C2311yescharacteristic
80C22×C22⋊D47D411yescharacteristic
81C22×C4×D47—21no—
82C22×C4×D47C2311yescharacteristic
83C2×Dic188—24no—
84C2×Dic188C2314yes—
85C2×#10625324—24no—
86C2×#10625324C2314yes—
87C22×C47⋊C8C2311yescharacteristic
88C22×C47⋊C8C2311yescharacteristic
89#13094023—22no—
90#13094023C2314yes—
91#13094018—28no—
92#13094017—28no—
93#13094017—28no—
94#13094016—28no—
95#13094015—22no—
96#13094015C2314yes—
97#13094010—28no—
98#13094006—28no—
99#13094004—22no—
100#13094004—22no—
101#13094004C2314yes—
102#13094004C2314yes—
103#13094003—22no—
104#13094003—22no—
105#13094003C2314yes—
106#13094003C2314yes—
107C4×Dic94—28no—
108#13093989—22no—
109#13093989—22no—
110#13093989C2314yes—
111#13093989C2314yes—
112C4×C22⋊D47D414yes—
113C4×C22⋊D47C2314yes—
114#13093982—22no—
115#13093982C2314yes—
116#13093981—28no—
117C2×C4⋊Dic47—21no—
118C2×C4⋊Dic47—21no—
119C2×C4⋊Dic47—21no—
120C2×C4⋊Dic47C2311yescharacteristic
121C2×C4⋊Dic47C2311yescharacteristic
122C2×Dic47⋊C4—21no—
123C2×Dic47⋊C4—21no—
124C2×Dic47⋊C4—21no—
125C2×Dic47⋊C4—21no—
126C2×Dic47⋊C4—21no—
127C2×Dic47⋊C4—21no—
128C2×Dic47⋊C4—21no—
129C2×Dic47⋊C4D411yescharacteristic
130C4⋊C4×D47—22no—
131C4⋊C4×D47C2314yes—
132C2×C22⋊Dic47—21no—
133C2×C22⋊Dic47—21no—
134C2×C22⋊Dic47D411yescharacteristic
135C2×(C2×D47)⋊C4—21no—
136C2×(C2×D47)⋊C4—21no—
137C2×(C2×D47)⋊C4—21no—
138C2×(C2×D47)⋊C4D411yescharacteristic
139C2×C4×Dic47—21no—
140C2×C4×Dic47—21no—
141C2×C4×Dic47—21no—
142C2×C4×Dic47C2311yescharacteristic
143#13093958C2314yes—
144#13093957C2314yes—
145#13093957C2314yes—
146#13093955C2314yes—
147#13093955C2314yes—
148Dic47⋊C8C2314yes—
149#13093949C2314yes—
150#13093949C2314yes—
151#13093947C2314yes—
152#13093947C2314yes—
153#13093947C2314yes—
154#13093947C2314yes—
155C22⋊(C47⋊C8)C2314yes—
156(C2×D47)⋊C8C2314yes—
157#13093934C2314yes—
158C23×C4×C47C2311yescharacteristic
159C22×C8×C47—24no—
160C22×C8×C47C2311yescharacteristic
161C22×C8×C47C2314yes—
162C22×C8×C47C2311yescharacteristic
163#117×C47—22no—
164#117×C47—22no—
165#117×C47C2314yes—
166#117×C47C2314yes—
167C2×C4⋊C4×C47C2311yescharacteristic
168C2×C4⋊C4×C47C2311yescharacteristic
169C2×C4⋊C4×C47C2311yescharacteristic
170C2×C4⋊C4×C47C2311yescharacteristic
171C2×C22⋊C4×C47—21no—
172C2×C22⋊C4×C47—21no—
173C2×C42×C47—21no—
174C2×C42×C47—21no—
175#107×C47C2314yes—
176#107×C47C2314yes—
177#106×C47C2314yes—
178#106×C47C2314yes—
179C24×C47C2×D411yescharacteristic
180C23×D47C2×D411yescharacteristic
181C22×C4×C47—22no—
182C22×C4×C47—22no—
183C22×C4×C47—21no—
184C22×C4×C47—21no—
185C22×C4×C47—21no—
186C22×C4×C47—21no—
187C22×C4×C47C2×D411yescharacteristic
188C22×C4×C47C2×D412yes—
189C22×C4×C47C2412yes—
190C22×C4×C47C2411yescharacteristic
191C2×C22⋊D47—42no—
192C2×C22⋊D47C2×D414yes—
193C22×Dic47—21no—
194C22×Dic47—21no—
195C22×Dic47—21no—
196C22×Dic47—21no—
197C22×Dic47C2×D411yescharacteristic
198C22×Dic47C2×D411yescharacteristic
199C22×Dic47C2×D411yescharacteristic
200C2×C4×D47—22no—
201C2×C4×D47—22no—
202C2×C4×D47—24no—
203C2×C4×D47—44no—
204C2×C4×D47C2×D412yes—
205C2×C4×D47C2412yes—
206C2×Dic94—22no—
207C2×Dic94—22no—
208C2×Dic94—22no—
209C2×Dic94—22no—
210C2×Dic94—21no—
211C2×Dic94—21no—
212C2×Dic94—24no—
213C2×Dic94—44no—
214C2×Dic94C2412yes—
215C2×Dic94C2412yes—
216C2×C8×C47—22no—
217C2×C8×C47—28no—
218C2×C8×C47#4114yes—
219C2×C8×C47C2412yes—
220C2×C8×C47C2412yes—
221C4⋊C4×C47—21no—
222C4⋊C4×C47—21no—
223C4⋊C4×C47—21no—
224C4⋊C4×C47—21no—
225C4⋊C4×C47C2412yes—
226C4⋊C4×C47C2412yes—
227C4⋊C4×C47C2412yes—
228C4⋊C4×C47C2412yes—
229C22⋊C4×C47—24no—
230C22⋊C4×C47—24no—
231C42×C47—24no—
232C42×C47—24no—
233C22⋊Dic47—24no—
234C22⋊Dic47—24no—
235C22⋊Dic47C2×D414yes—
236(C2×D47)⋊C4—24no—
237(C2×D47)⋊C4—24no—
238(C2×D47)⋊C4—24no—
239(C2×D47)⋊C4C2×D414yes—
240C4⋊Dic47—21no—
241C4⋊Dic47—21no—
242C4⋊Dic47—24no—
243C4⋊Dic47—24no—
244C4⋊Dic47—24no—
245C4⋊Dic47C2412yes—
246C4⋊Dic47C2412yes—
247Dic47⋊C4—24no—
248Dic47⋊C4—24no—
249Dic47⋊C4—24no—
250Dic47⋊C4—24no—
251Dic47⋊C4—24no—
252Dic47⋊C4—24no—
253Dic47⋊C4—24no—
254Dic47⋊C4C2×D414yes—
255C4×Dic47—24no—
256C4×Dic47—24no—
257C4×Dic47—24no—
258C4×Dic47C2×D412yes—
259C4×Dic47C2412yes—
260C2×C47⋊C8—22no—
261C2×C47⋊C8—22no—
262C2×C47⋊C8C2412yes—
263C2×C47⋊C8C2412yes—
264Dic188—28no—
265#10625324—28no—
266C23×C47—22no—
267C23×C47—22no—
268C23×C47—22no—
269C23×C47C22×D412yes—
270C23×C47C22×D411yescharacteristic
271C22×D47—22no—
272C22×D47—22no—
273C22×D47—22no—
274C22×D47C22×D412yes—
275C2×C4×C47—22no—
276C2×C4×C47—24no—
277C2×C4×C47—22no—
278C2×C4×C47—22no—
279C2×C4×C47—22no—
280C2×C4×C47—22no—
281C2×C4×C47—22no—
282C2×C4×C47—22no—
283C2×C4×C47—42no—
284C2×C4×C47—42no—
285C2×C4×C47—42no—
286C2×C4×C47—42no—
287C2×C4×C47C22×D412yes—
288C2×C4×C47C22×D411yescharacteristic
289C2×C4×C47C2×#4112yes—
290C2×C4×C472−1+412yes—
291C2×C4×C47C2511yescharacteristic
292C22⋊D47—44no—
293C2×Dic47—22no—
294C2×Dic47—22no—
295C2×Dic47—22no—
296C2×Dic47—22no—
297C2×Dic47—22no—
298C2×Dic47—22no—
299C2×Dic47—22no—
300C2×Dic47—42no—
301C2×Dic47—42no—
302C2×Dic47—42no—
303C2×Dic47—42no—
304C2×Dic47C22×D412yes—
305C2×Dic47C22×D412yes—
306C2×Dic47C22×D412yes—
307C4×D47—24no—
308C4×D47—22no—
309C4×D47—22no—
310C4×D47—48no—
311Dic94—22no—
312Dic94—22no—
313Dic94—22no—
314Dic94—22no—
315Dic94—48no—
316Dic94—42no—
317Dic94—42no—
318C8×C47—22no—
319C8×C47C2×#4114yes—
320C47⋊C8—22no—
321C47⋊C8—22no—
322C2×#3349—471nomaximal, Sylow
323C22×C47—22no—
324C22×C47—22no—
325C22×C47—22no—
326C22×C47—44no—
327C22×C47#54712yes—
328C22×C47#57512yes—
329C22×C47#57812yes—
330C22×C47C23×D411yescharacteristic
331C2×D47—22no—
332C2×D47—22no—
333C2×D47—22no—
334C2×D47—44no—
335C4×C47—22no—
336C4×C47—42no—
337C4×C47—42no—
338C4×C47—42no—
339C4×C47—42no—
340C4×C47#54712yes—
341C4×C47C22×#4111yescharacteristic
342C4×C47C2×2−1+411yescharacteristic
343Dic47—22no—
344Dic47—22no—
345Dic47—22no—
346Dic47—42no—
347Dic47—42no—
348Dic47—42no—
349Dic47—42no—
350C2×#556—471no—
351C2×#552—471no—
352#3349—4716no—
353C2×#501—471no—
354C2×#484—471no—
355C2×#485—471no—
356C2×#485—471no—
357C2×#485—471no—
358C2×#479—471no—
359C2×#477—471no—
360C2×#470—471no—
361C2×#467—471no—
362C2×#441—471no—
363C2×#435—471no—
364C2×#428—471no—
365C2×#427D4711yescharacteristic, complemented
366C2×C47—42no—
367C2×C47#334914yescomplemented
368C2×C47C2×#54711yescharacteristic
369C2×C47C2×#57511yescharacteristic
370C2×C47C2×#57811yescharacteristic
371D47—42no—
372C22×Q16—471no—
373C22×M16—471no—
374C23×C8C2×D4711yescharacteristic
375#556—478no—
376#556—944no—
377#552—478no—
378#552—944no—
379C2×C4⋊Q8—471no—
380C2×#126—941no—
381C2×#126—941no—
382C2×#126—941no—
383C2×#125—471no—
384C2×#125—941no—
385C2×#124—941no—
386C2×#123—941no—
387C2×C22⋊Q8—471no—
388C2×C22⋊Q8—471no—
389C2×C22⋊Q8—471no—
390C2×C22⋊Q8—471no—
391C2×C4×Q8—471no—
392C2×C4×Q8—471no—
393C2×C4×Q8—941no—
394C2×C4×D4—471no—
395C2×#117—471no—
396C2×#117—941no—
397C2×#117C2×D4711yescharacteristic
398C2×#117C2×D4711yescharacteristic
399C22×C4⋊C4—471no—
400#501—478no—
401#485—478no—
402#485—478no—
403#485—478no—
404#484—478no—
405#479—478no—
406#477—478no—
407#470—478no—
408#467—478no—
409#441—478no—
410#435—478no—
411#428—478no—
412#427C2×D4718yescomplemented
413C2×#107—471no—
414C2×#107—471no—
415C2×#107—471no—
416C2×#107C2×D4711yescharacteristic
417C2×#107C2×D4711yescharacteristic
418C2×#106—471no—
419C2×#106—471no—
420C2×#106C2×D4711yescharacteristic
421C2×#106C2×D4711yescharacteristic
422C2×C4⋊C8—471no—
423C2×#103—471no—
424C2×#103—471no—
425C2×#103—471no—
426C2×#103—471no—
427C2×#103—471no—
428C2×#103—471no—
429C2×C22⋊C8—471no—
430C2×C22⋊C8—471no—
431C2×#97—471no—
432C47C2×#334911yescharacteristic, complemented, Sylow
433C22×Q8—471no—
434C22×Q8—471no—
435C22×Q8—941no—
436C22×D4—471no—
437C23×C4—471no—
438C23×C4—941no—
439C23×C4C22×D4711yescharacteristic
440C2×Q16—474no—
441C2×Q16—944no—
442C2×M16—474no—
443C2×M16—944no—
444C22×C8—24no—
445C22×C8—471no—
446C22×C8—471no—
447C22×C8C22×D4711yescharacteristic
448C22×C8C22×D4714yes—
449C22×C8C22×D4711yescharacteristic
450C4⋊Q8—474no—
451C4⋊Q8—942no—
452#126—948no—
453#126—948no—
454#126—948no—
455#125—474no—
456#125—948no—
457#125—942no—
458#124—948no—
459#123—948no—
460C22⋊Q8—474no—
461C22⋊Q8—474no—
462C22⋊Q8—474no—
463C22⋊Q8—474no—
464C22⋊Q8—942no—
465C22⋊Q8—942no—
466C22⋊Q8—942no—
467C22⋊Q8—942no—
468C4×Q8—474no—
469C4×Q8—474no—
470C4×Q8—948no—
471C4×Q8—942no—
472C4×Q8—942no—
473C4×D4—474no—
474C4×D4—474no—
475#117—22no—
476#117—22no—
477#117—474no—
478#117—948no—
479#117—942no—
480#117C22×D4714yes—
481#117C22×D4714yes—
482C2×C4⋊C4—471no—
483C2×C4⋊C4—471no—
484C2×C4⋊C4—471no—
485C2×C4⋊C4—474no—
486C2×C4⋊C4—942no—
487C2×C4⋊C4—941no—
488C2×C4⋊C4—941no—
489C2×C4⋊C4—941no—
490C2×C4⋊C4—941no—
491C2×C4⋊C4—941no—
492C2×C4⋊C4—941no—
493C2×C4⋊C4—941no—
494C2×C4⋊C4—941no—
495C2×C4⋊C4—941no—
496C2×C4⋊C4—941no—
497C2×C4⋊C4C22×D4711yescharacteristic
498C2×C4⋊C4C22×D4711yescharacteristic
499C2×C4⋊C4C22×D4711yescharacteristic
500C2×C4⋊C4C22×D4711yescharacteristic
501C2×C22⋊C4—21no—
502C2×C22⋊C4—21no—
503C2×C22⋊C4—471no—
504C2×C22⋊C4—471no—
505C2×C22⋊C4—941no—
506C2×C22⋊C4—941no—
507C2×C22⋊C4—941no—
508C2×C22⋊C4—941no—
509C2×C22⋊C4—941no—
510C2×C42—21no—
511C2×C42—21no—
512C2×C42—471no—
513C2×C42—941no—
514C2×C42—941no—
515C2×C42—941no—
516#107—474no—
517#107—474no—
518#107—474no—
519#107C22×D4714yes—
520#107C22×D4714yes—
521#106—474no—
522#106—474no—
523#106C22×D4714yes—
524#106C22×D4714yes—
525C4⋊C8—474no—
526#103—474no—
527#103—474no—
528#103—474no—
529#103—474no—
530#103—474no—
531#103—474no—
532C22⋊C8—474no—
533C22⋊C8—474no—
534#97—474no—
535C24—471no—
536C24D4×D4711yescharacteristic
537C2×Q8—472no—
538C2×Q8—472no—
539C2×Q8—944no—
540C2×Q8—941no—
541C2×Q8—941no—
542C2×Q8—942no—
543C2×Q8—942no—
544C2×Q8—942no—
545C2×Q8—942no—
546C2×Q8—1884no—
547C2×D4—474no—
548C2×D4—1882no—
549C22×C4—22no—
550C22×C4—22no—
551C22×C4—21no—
552C22×C4—21no—
553C22×C4—21no—
554C22×C4—21no—
555C22×C4—471no—
556C22×C4—471no—
557C22×C4—471no—
558C22×C4—472no—
559C22×C4—472no—
560C22×C4—944no—
561C22×C4—942no—
562C22×C4—942no—
563C22×C4—941no—
564C22×C4—941no—
565C22×C4—941no—
566C22×C4—941no—
567C22×C4—1884no—
568C22×C4D4×D4712yes—
569C22×C4D4×D4711yescharacteristic
570C22×C4C23×D4712yes—
571C22×C4C23×D4711yescharacteristic
572Q16—948no—
573M16—948no—
574C2×C8—22no—
575C2×C8—28no—
576C2×C8—472no—
577C2×C8—472no—
578C2×C8—942no—
579C2×C8—942no—
580C2×C8#1062535014yes—
581C2×C8C23×D4712yes—
582C2×C8C23×D4712yes—
583C4⋊C4—21no—
584C4⋊C4—21no—
585C4⋊C4—21no—
586C4⋊C4—21no—
587C4⋊C4—474no—
588C4⋊C4—472no—
589C4⋊C4—472no—
590C4⋊C4—944no—
591C4⋊C4—944no—
592C4⋊C4—944no—
593C4⋊C4—944no—
594C4⋊C4—944no—
595C4⋊C4—944no—
596C4⋊C4—944no—
597C4⋊C4—944no—
598C4⋊C4—944no—
599C4⋊C4—944no—
600C4⋊C4—941no—
601C4⋊C4—941no—
602C4⋊C4C23×D4712yes—
603C4⋊C4C23×D4712yes—
604C4⋊C4C23×D4712yes—
605C4⋊C4C23×D4712yes—
606C22⋊C4—24no—
607C22⋊C4—24no—
608C22⋊C4—474no—
609C22⋊C4—474no—
610C22⋊C4—944no—
611C22⋊C4—944no—
612C22⋊C4—944no—
613C22⋊C4—944no—
614C22⋊C4—944no—
615C42—24no—
616C42—24no—
617C42—472no—
618C42—472no—
619C42—944no—
620C42—944no—
621C42—944no—
622C23—22no—
623C23—22no—
624C23—22no—
625C23—472no—
626C23—942no—
627C23—942no—
628C23—942no—
629C23C2×D4×D4712yes—
630C23C2×D4×D4711yescharacteristic
631Q8—942no—
632Q8—942no—
633Q8—942no—
634Q8—942no—
635Q8—1888no—
636Q8—1882no—
637Q8—1882no—
638D4—1884no—
639C2×C4—22no—
640C2×C4—24no—
641C2×C4—22no—
642C2×C4—22no—
643C2×C4—22no—
644C2×C4—22no—
645C2×C4—22no—
646C2×C4—22no—
647C2×C4—42no—
648C2×C4—42no—
649C2×C4—42no—
650C2×C4—42no—
651C2×C4—472no—
652C2×C4—472no—
653C2×C4—472no—
654C2×C4—942no—
655C2×C4—942no—
656C2×C4—942no—
657C2×C4—944no—
658C2×C4—942no—
659C2×C4—942no—
660C2×C4—942no—
661C2×C4—942no—
662C2×C4—942no—
663C2×C4—942no—
664C2×C4—1888no—
665C2×C4—1882no—
666C2×C4—1882no—
667C2×C4—1882no—
668C2×C4—1882no—
669C2×C4C2×D4×D4712yes—
670C2×C4C2×D4×D4711yescharacteristic
671C2×C4C2×#1062535012yes—
672C2×C4#1309407212yes—
673C2×C4C24×D4711yescharacteristic
674C8—22no—
675C8—942no—
676C8—942no—
677C8C2×#1062535014yes—
678C22—22no—
679C22—22no—
680C22—22no—
681C22—44no—
682C22—942no—
683C22—942no—
684C22—942no—
685C22—1884no—
686C22#1568977412yes—
687C22#1568992012yes—
688C22#1568993712yes—
689C22C22×D4×D4711yescharacteristic
690C4—22no—
691C4—42no—
692C4—42no—
693C4—42no—
694C4—42no—
695C4—942no—
696C4—942no—
697C4—942no—
698C4—1882no—
699C4—1882no—
700C4—1882no—
701C4—1882no—
702C4#1568977412yes—
703C4C22×#1062535011yescharacteristic
704C4C2×#1309407211yescharacteristic
705C2—42no—
706C2—1882no—
707C2#2025591414yesdirect product factor
708C2C2×#1568977411yescharacteristic
709C2C2×#1568992011yescharacteristic
710C2C2×#1568993711yescharacteristic
subgroupG/H
centerC23C2×D4×D47
commutator, cosocleC2×C4×C47C25
FrattiniC2×C4C24×D47
FittingC2×C47×#427C2
socleC23×C47C22×D4
prime radicalC22×C22⋊D47D4
hypercenterC2×#427D47
hypocenterC47C2×#3349
LCSG ▷ C2×C4×C47 ▷ C2×C47 ▷ C47
UCSC1 ◁ C23 ◁ C23×C4 ◁ C2×#427

Complements

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

NH ≅ G/Ntype
3. #20255914C2direct (N × H)
4. C2×#15689530C2semidirect
5. C2×#15689460C2semidirect
6. C2×#15689466C2semidirect
7. C2×#15689464C2semidirect
8. C2×#15689464C2semidirect
9. C2×#15689429C2semidirect
10. C2×#15689417C2semidirect
11. C2×#15689382C2semidirect
12. C2×#15689364C2semidirect
13. C2×#15689229C2semidirect
15. C2×#15689162C2semidirect
16. C2×C47×#427C2semidirect
42. #15689530C22semidirect
43. #15689466C22semidirect
44. #15689464C22semidirect
45. #15689464C22semidirect
46. #15689460C22semidirect
47. #15689429C22semidirect
48. #15689417C22semidirect
49. #15689382C22semidirect
50. #15689364C22semidirect
51. #15689229C22semidirect
53. #15689162C22semidirect
72. C47×#427C22semidirect
365. C2×#427D47semidirect
367. C2×C47#3349semidirect
412. #427C2×D47semidirect
432. C47C2×#3349semidirect
707. C2#20255914direct (N × H)

Maximal subgroups

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

subgroupindex
C2×#156898412
C2×#156898122
#202559142
C2×#156895302
C2×#156894602
C2×#156894662
C2×#156894642
C2×#156894292
C2×#156894172
C2×#156893822
C2×#156893642
C2×#156892292
C2×#156891942
C2×#156891622
C2×C47×#4272
C2×#334947