Finite Group Databasebeta

← #25097587

Subgroups — #25097587

Order 11008.

1382 conjugacy classes of subgroups.

The subgroup lattice has 720 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#14583375C211yesmaximal, characteristic
2C2×#14582940C211yesmaximal, characteristic
3C2×#14582906C211yesmaximal, characteristic
4C2×#103×D43C211yesmaximal, characteristic
5#19137217C211yesmaximal, characteristic
6#19134866C211yesmaximal, characteristic, complemented
7#19134865C211yesmaximal, characteristic, complemented
8#19134862C211yesmaximal, characteristic, complemented
9#19134861C211yesmaximal, characteristic, complemented
10#19134850C211yesmaximal, characteristic, complemented
11#19134849C211yesmaximal, characteristic, complemented
12#19134846C211yesmaximal, characteristic, complemented
13#19134310C211yesmaximal, characteristic
14#19134290C211yesmaximal, characteristic
15C43×#1863C211yesmaximal, characteristic, complemented
16C22×Q8×D43C2211yescharacteristic
17C22×#10621872C2211yescharacteristic
18C22×C8×D43C2211yescharacteristic
19#14583375—24no—
20#14583375—24no—
21C2×Q8×Dic43C2211yescharacteristic
22C2×C4×Dic86—21no—
23C2×C4×Dic86C2211yescharacteristic
24C2×#13063290—21no—
25C2×#13063290C2211yescharacteristic
26C2×#13063283—21no—
27C2×#13063283C2211yescharacteristic
28C2×#13063283C2211yescharacteristic
29C2×#13063282—21no—
30C2×#13063282C2211yescharacteristic
31C2×C4⋊C4×D43C2211yescharacteristic
32#14582940—24no—
33C2×#13063258C2211yescharacteristic
34C2×#13063257C2211yescharacteristic
35C2×#13063256C2211yescharacteristic
36#14582906C418yescomplemented
37C2×#13063250C2211yescharacteristic
38C2×#13063250C2211yescharacteristic
39C2×#13063249C2211yescharacteristic
40C2×#13063249C2211yescharacteristic
41C2×#13063248C2211yescharacteristic
42C2×#13063248C2211yescharacteristic
43#103×D43—24no—
44#14582798C2211yescharacteristic
45#14582797C2211yescharacteristic
46#14582795C2211yescharacteristic
47#14582773—21no—
48#14582770—21no—
49#14582768—21no—
50#14582763—21no—
51#14582662C2211yescharacteristic
52#14582661C2211yescharacteristic
53#14582661C2211yescharacteristic
54#14582654C2211yescharacteristic
55#14582653C2211yescharacteristic
56#14582653C2211yescharacteristic
57C2×C4×Q8×C43C2211yescharacteristic
58C2×#107×C43C2211yescharacteristic
59C2×#103×C43C2211yescharacteristic
60C2×#103×C43C2211yescharacteristic
61C43×#389C2211yescharacteristic
62C43×#340C2211yescharacteristic
63C43×#336C2211yescharacteristic
64C22×Dic86—21no—
65C22×Dic86C2311yescharacteristic
66C2×Q8×D43—22no—
67C2×Q8×D43—22no—
68C2×Q8×D43—22no—
69C2×Q8×D43C2×C414yes—
70C2×Q8×D43D414yes—
71C2×Q8×D43Q814yes—
72C22×C4×D43—21no—
73C22×C4×D43—21no—
74C22×C4×D43C2311yescharacteristic
75C2×#10621872—22no—
76C2×#10621872—22no—
77C2×#10621872C2×C414yes—
78C22×C43⋊C8C2311yescharacteristic
79C22×C43⋊C8C2311yescharacteristic
80C2×C8×D43—22no—
81C2×C8×D43—22no—
82C2×C8×D43—22no—
83Q8×Dic43—22no—
84Q8×Dic43—22no—
85C4×Dic86—28no—
86C4×Dic86—22no—
87C4×Dic86—22no—
88#13063290—28no—
89#13063290—22no—
90#13063290—22no—
91#13063283—28no—
92#13063283—22no—
93#13063283—22no—
94#13063283C2×C414yes—
95#13063283D414yes—
96#13063282—28no—
97#13063282—22no—
98#13063282—22no—
99C2×C4⋊Dic43—21no—
100C2×C4⋊Dic43—21no—
101C2×C4⋊Dic43C2311yescharacteristic
102C2×C4⋊Dic43C2311yescharacteristic
103C2×C4⋊Dic43C2311yescharacteristic
104C2×Dic43⋊C4—21no—
105C2×Dic43⋊C4—21no—
106C2×Dic43⋊C4—21no—
107C2×Dic43⋊C4—21no—
108C2×Dic43⋊C4—21no—
109C2×Dic43⋊C4D411yescharacteristic
110C2×Dic43⋊C4D411yescharacteristic
111C4⋊C4×D43—22no—
112C4⋊C4×D43—22no—
113C2×(C2×D43)⋊C4—21no—
114C2×(C2×D43)⋊C4—21no—
115C2×(C2×D43)⋊C4D411yescharacteristic
116C2×(C2×D43)⋊C4D411yescharacteristic
117C2×C4×Dic43—21no—
118C2×C4×Dic43—21no—
119C2×C4×Dic43—21no—
120C2×C4×Dic43—21no—
121C2×C4×Dic43—21no—
122C2×C4×Dic43C2311yescharacteristic
123#13063258—22no—
124#13063257—22no—
125#13063256—22no—
126#13063250—22no—
127#13063250C2×C414yescomplemented
128#13063249—22no—
129#13063249C2×C414yescomplemented
130#13063248—22no—
131#13063248C2×C414yescomplemented
132C43⋊#95—21no—
133C43⋊#95—21no—
134C43⋊#95—21no—
135C22×Q8×C43C2311yescharacteristic
136C22×C8×C43C2311yescharacteristic
137C22×C8×C43C2311yescharacteristic
138C4×Q8×C43—22no—
139C4×Q8×C43—22no—
140C2×C4⋊C4×C43—21no—
141C2×C4⋊C4×C43—21no—
142C2×C4⋊C4×C43C2311yescharacteristic
143C2×C4⋊C4×C43C2311yescharacteristic
144C2×C4⋊C4×C43C2311yescharacteristic
145C2×C42×C43—21no—
146C2×C42×C43C2311yescharacteristic
147#107×C43—22no—
148#103×C43—22no—
149#103×C43C2×C414yescomplemented
150#95×C43—21no—
151C23×D43C2×D411yescharacteristic
152C2×Q8×C43—21no—
153C2×Q8×C43—21no—
154C2×Q8×C43—21no—
155C2×Q8×C43C22×C412yes—
156C2×Q8×C43C2×D412yes—
157C2×Q8×C43C2×Q812yes—
158C22×C4×C43—21no—
159C22×C4×C43—21no—
160C22×C4×C43—21no—
161C22×C4×C43—21no—
162C22×C4×C43C2×D411yescharacteristic
163C22×C4×C43C2×D411yescharacteristic
164C22×C4×C43C2411yescharacteristic
165C22×Dic43—21no—
166C22×Dic43—21no—
167C22×Dic43—21no—
168C22×Dic43—21no—
169C22×Dic43C2×D411yescharacteristic
170C22×Dic43C2×D411yescharacteristic
171C22×Dic43C2×D411yescharacteristic
172Q8×D43—28no—
173Q8×D43—28no—
174Q8×D43—28no—
175Q8×D43C4⋊C4116yescomplemented
176C2×C4×D43—24no—
177C2×C4×D43—24no—
178C2×C4×D43—24no—
179C2×C4×D43—42no—
180C2×C4×D43—81no—
181C2×C4×D43—81no—
182C2×C4×D43C22×C412yes—
183C2×C4×D43C2×D412yes—
184C2×C4×D43C2×D412yes—
185C2×C4×D43C2×Q812yes—
186C2×C4×D43#4112yes—
187C2×C4×D43#4112yes—
188C2×Dic86—21no—
189C2×Dic86—21no—
190C2×Dic86—21no—
191C2×Dic86—24no—
192C2×Dic86—24no—
193C2×Dic86—24no—
194C2×Dic86C22×C412yes—
195C2×Dic86C2×D412yes—
196C2×Dic86C2×Q812yes—
197C2×C8×C43—21no—
198C2×C8×C43—21no—
199C2×C8×C43—21no—
200C2×C8×C43—21no—
201C2×C8×C43—21no—
202C2×C8×C43C22×C412yes—
203C4⋊C4×C43—24no—
204C4⋊C4×C43—21no—
205C4⋊C4×C43—21no—
206C4⋊C4×C43—21no—
207C4⋊C4×C43—21no—
208C4⋊C4×C43—81no—
209C4⋊C4×C43C22×C412yes—
210C4⋊C4×C43C2×D412yes—
211C42×C43—24no—
212C42×C43—21no—
213C42×C43—21no—
214(C2×D43)⋊C4—24no—
215(C2×D43)⋊C4—24no—
216(C2×D43)⋊C4—22no—
217(C2×D43)⋊C4—22no—
218C4⋊Dic43—24no—
219C4⋊Dic43—21no—
220C4⋊Dic43—21no—
221C4⋊Dic43—21no—
222C4⋊Dic43—21no—
223C4⋊Dic43—81no—
224C4⋊Dic43C22×C412yes—
225C4⋊Dic43C2×D412yes—
226Dic43⋊C4—24no—
227Dic43⋊C4—24no—
228Dic43⋊C4—22no—
229Dic43⋊C4—22no—
230Dic43⋊C4—42no—
231Dic43⋊C4—81no—
232Dic43⋊C4—81no—
233C4×Dic43—24no—
234C4×Dic43—24no—
235C4×Dic43—24no—
236C4×Dic43—21no—
237C4×Dic43—21no—
238C4×Dic43—24no—
239C4×Dic43—24no—
240C2×C43⋊C8—21no—
241C2×C43⋊C8—21no—
242C2×C43⋊C8—21no—
243C2×C43⋊C8—21no—
244C2×C43⋊C8—21no—
245C2×C43⋊C8C22×C412yes—
246#10621872—28no—
247C8×D43—44no—
248C23×C43C22×D411yescharacteristic
249C22×D43—21no—
250C22×D43—21no—
251C22×D43—21no—
252C22×D43—21no—
253C22×D43C4×D412yes—
254C22×D43#12012yes—
255C22×D43C22⋊Q812yes—
256Q8×C43—22no—
257Q8×C43—22no—
258Q8×C43—22no—
259Q8×C43C2×C4⋊C414yes—
260C2×C4×C43—22no—
261C2×C4×C43—22no—
262C2×C4×C43—22no—
263C2×C4×C43—22no—
264C2×C4×C43—21no—
265C2×C4×C43—22no—
266C2×C4×C43—21no—
267C2×C4×C43—21no—
268C2×C4×C43—21no—
269C2×C4×C43—21no—
270C2×C4×C43—21no—
271C2×C4×C43—41no—
272C2×C4×C43—41no—
273C2×C4×C43—41no—
274C2×C4×C43—41no—
275C2×C4×C43—41no—
276C2×C4×C43—41no—
277C2×C4×C43—41no—
278C2×C4×C43C23×C411yescharacteristic
279C2×C4×C43C22×D411yescharacteristic
280C2×C4×C43C22×D411yescharacteristic
281C2×C4×C43C22×Q811yescharacteristic
282C2×C4×C43C2×#4111yescharacteristic
283C2×C4×C43C2×#4111yescharacteristic
284C2×Dic43—22no—
285C2×Dic43—22no—
286C2×Dic43—22no—
287C2×Dic43—22no—
288C2×Dic43—21no—
289C2×Dic43—21no—
290C2×Dic43—22no—
291C2×Dic43—21no—
292C2×Dic43—21no—
293C2×Dic43—21no—
294C2×Dic43—21no—
295C2×Dic43—41no—
296C2×Dic43—41no—
297C2×Dic43—41no—
298C2×Dic43—41no—
299C2×Dic43—41no—
300C2×Dic43—41no—
301C2×Dic43—41no—
302C2×Dic43C4×D412yes—
303C2×Dic43#12012yes—
304C2×Dic43C22⋊Q812yes—
305C4×D43—216no—
306C4×D43—84no—
307C4×D43C2×C4⋊C414yes—
308C4×D43C4×D414yes—
309C4×D43C22⋊Q814yes—
310C4×D43#12314yes—
311Dic86—22no—
312Dic86—22no—
313Dic86—22no—
314Dic86—216no—
315Dic86C2×C4⋊C414yes—
316C8×C43—22no—
317C8×C43—41no—
318C43⋊C8—22no—
319C43⋊C8—41no—
320#20877—431nomaximal, Sylow
321C22×C43C2×C4×D411yescharacteristic
322C22×C43C2×#12011yescharacteristic
323C22×C43C2×C22⋊Q811yescharacteristic
324C22×C43#57711yescharacteristic
325C22×C43#57711yescharacteristic
326C22×C43#57811yescharacteristic
327C22×C43#57811yescharacteristic
328C2×D43—22no—
329C2×D43—22no—
330C2×D43—22no—
331C2×D43—22no—
332C2×D43—22no—
333C2×D43—22no—
334C2×D43#38514yes—
335C4×C43—24no—
336C4×C43—42no—
337C4×C43—41no—
338C4×C43—42no—
339C4×C43—41no—
340C4×C43—81no—
341C4×C43C22×C4⋊C411yescharacteristic
342C4×C43C2×C4×D411yescharacteristic
343C4×C43C2×C22⋊Q811yescharacteristic
344C4×C43C2×#12311yescharacteristic
345Dic43—24no—
346Dic43—42no—
347Dic43—41no—
348Dic43—41no—
349Dic43—42no—
350Dic43—81no—
351Dic43#38514yes—
352C2×#519—431no—
353C2×#428—431no—
354C2×#419—431no—
355C22×#103—431no—
356#2317—431no—
357#1865—431no—
358#1865—431no—
359#1865—431no—
360#1865—431no—
361#1863—431no—
362#1863—431no—
363#1863—431no—
364#1863D4311yescharacteristic, complemented
365#1735—431no—
366#1729—431no—
367C2×C43C2×#38511yescharacteristic
368C2×C43#294711yescharacteristic
369C2×C43#294711yescharacteristic
370C2×C43#301011yescharacteristic
371C2×C43#301111yescharacteristic
372C2×C43#308211yescharacteristic
373C2×C43#308211yescharacteristic
374D43—24no—
375C23×Q8—431no—
376C22×M16—431no—
377C23×C8—431no—
378#519—864no—
379#519—864no—
380C2×C4×Q8—431no—
381C2×C4×Q8—431no—
382C2×C4×Q8—431no—
383C2×C4×Q8—861no—
384C2×C4×Q8—861no—
385C2×C4×Q8C2×D4311yescharacteristic
386C2×#117—431no—
387C2×#117—431no—
388C2×#117—431no—
389C2×#117—861no—
390C2×#117—861no—
391C22×C4⋊C4—431no—
392#428—864no—
393C2×#107—431no—
394C2×#107C2×D4311yescharacteristic
395C2×#106—431no—
396C2×#106—431no—
397#419—438no—
398C2×#103—431no—
399C2×#103—431no—
400C2×#103—431no—
401C2×#103—431no—
402C2×#103—431no—
403C2×#103—431no—
404C2×#103—864no—
405C2×#103C2×D4311yescharacteristic
406C2×#103C2×D4311yescharacteristic
407#389—431no—
408#389—431no—
409#389—431no—
410#389C2×D4311yescharacteristic
411#385—861no—
412#385—861no—
413#384—861no—
414#382—861no—
415#340—431no—
416#340—431no—
417#340—431no—
418#340C2×D4311yescharacteristic
419#336—431no—
420#336—431no—
421#336—431no—
422#336C2×D4311yescharacteristic
423C43#2087711yescharacteristic, complemented, Sylow
424C22×Q8—434no—
425C22×Q8—434no—
426C22×Q8—434no—
427C22×Q8—431no—
428C22×Q8—861no—
429C22×Q8—862no—
430C22×Q8—862no—
431C22×Q8—862no—
432C22×Q8C22×D4311yescharacteristic
433C23×C4—431no—
434C23×C4—861no—
435C23×C4—861no—
436C2×M16—434no—
437C2×M16—862no—
438C2×M16—862no—
439C22×C8—431no—
440C22×C8—431no—
441C22×C8—862no—
442C22×C8—862no—
443C22×C8—862no—
444C22×C8C22×D4311yescharacteristic
445C22×C8C22×D4311yescharacteristic
446C4×Q8—22no—
447C4×Q8—22no—
448C4×Q8—862no—
449C4×Q8—862no—
450C4×Q8—868no—
451C4×Q8—862no—
452C4×Q8—868no—
453C4×Q8—862no—
454C4×Q8—862no—
455C4×Q8—862no—
456#117—434no—
457#117—434no—
458#117—862no—
459#117—862no—
460#117—868no—
461#117—862no—
462#117—862no—
463#117—868no—
464C2×C4⋊C4—21no—
465C2×C4⋊C4—21no—
466C2×C4⋊C4—431no—
467C2×C4⋊C4—431no—
468C2×C4⋊C4—431no—
469C2×C4⋊C4—431no—
470C2×C4⋊C4—431no—
471C2×C4⋊C4—862no—
472C2×C4⋊C4—862no—
473C2×C4⋊C4—861no—
474C2×C4⋊C4—861no—
475C2×C4⋊C4—861no—
476C2×C4⋊C4—861no—
477C2×C4⋊C4—861no—
478C2×C4⋊C4—861no—
479C2×C4⋊C4—861no—
480C2×C4⋊C4C22×D4311yescharacteristic
481C2×C4⋊C4C22×D4311yescharacteristic
482C2×C4⋊C4C22×D4311yescharacteristic
483C2×C22⋊C4—431no—
484C2×C22⋊C4—431no—
485C2×C22⋊C4—861no—
486C2×C22⋊C4—861no—
487C2×C42—21no—
488C2×C42—431no—
489C2×C42—861no—
490C2×C42—861no—
491C2×C42—861no—
492C2×C42—861no—
493C2×C42—861no—
494C2×C42C22×D4311yescharacteristic
495#107—22no—
496#107—862no—
497#106—862no—
498#106—862no—
499#103—22no—
500#103—434no—
501#103—434no—
502#103—434no—
503#103—862no—
504#103—862no—
505#103—862no—
506#103C4×D4314yescomplemented
507#95—21no—
508#95—861no—
509#95—861no—
510#95—861no—
511C24—431no—
512C2×Q8—21no—
513C2×Q8—21no—
514C2×Q8—21no—
515C2×Q8—4316no—
516C2×Q8—432no—
517C2×Q8—432no—
518C2×Q8—432no—
519C2×Q8—864no—
520C2×Q8—864no—
521C2×Q8—864no—
522C2×Q8—868no—
523C2×Q8—868no—
524C2×Q8—868no—
525C2×Q8—861no—
526C2×Q8—861no—
527C2×Q8—861no—
528C2×Q8C2×C4×D4312yes—
529C2×Q8D4×D4312yes—
530C2×Q8Q8×D4312yes—
531C22×C4—21no—
532C22×C4—21no—
533C22×C4—21no—
534C22×C4—21no—
535C22×C4—431no—
536C22×C4—432no—
537C22×C4—432no—
538C22×C4—432no—
539C22×C4—432no—
540C22×C4—432no—
541C22×C4—432no—
542C22×C4—431no—
543C22×C4—431no—
544C22×C4—864no—
545C22×C4—864no—
546C22×C4—864no—
547C22×C4—861no—
548C22×C4—861no—
549C22×C4—861no—
550C22×C4—861no—
551C22×C4—3441no—
552C22×C4—3441no—
553C22×C4—1722no—
554C22×C4D4×D4311yescharacteristic
555C22×C4D4×D4311yescharacteristic
556C22×C4C23×D4311yescharacteristic
557M16—868no—
558C2×C8—21no—
559C2×C8—21no—
560C2×C8—21no—
561C2×C8—21no—
562C2×C8—21no—
563C2×C8—432no—
564C2×C8—861no—
565C2×C8—861no—
566C2×C8—861no—
567C2×C8—861no—
568C2×C8—861no—
569C2×C8—1724no—
570C2×C8C2×C4×D4312yes—
571C4⋊C4—24no—
572C4⋊C4—21no—
573C4⋊C4—21no—
574C4⋊C4—21no—
575C4⋊C4—21no—
576C4⋊C4—81no—
577C4⋊C4—432no—
578C4⋊C4—432no—
579C4⋊C4—862no—
580C4⋊C4—862no—
581C4⋊C4—864no—
582C4⋊C4—864no—
583C4⋊C4—864no—
584C4⋊C4—861no—
585C4⋊C4—861no—
586C4⋊C4—861no—
587C4⋊C4—861no—
588C4⋊C4—3441no—
589C4⋊C4—3441no—
590C4⋊C4—3441no—
591C4⋊C4—1722no—
592C4⋊C4C2×C4×D4312yes—
593C4⋊C4D4×D4312yes—
594C22⋊C4—862no—
595C22⋊C4—862no—
596C22⋊C4—864no—
597C22⋊C4—864no—
598C42—24no—
599C42—21no—
600C42—21no—
601C42—864no—
602C42—864no—
603C42—864no—
604C42—864no—
605C42—864no—
606C42—861no—
607C42—861no—
608C23—432no—
609C23—432no—
610C23—432no—
611C23—861no—
612C23—861no—
613C23—861no—
614C23—861no—
615C23C2×D4×D4311yescharacteristic
616Q8—22no—
617Q8—22no—
618Q8—22no—
619Q8—434no—
620Q8—8616no—
621Q8—862no—
622Q8—862no—
623Q8—862no—
624Q8C4⋊C4×D4314yes—
625C2×C4—22no—
626C2×C4—22no—
627C2×C4—22no—
628C2×C4—22no—
629C2×C4—21no—
630C2×C4—21no—
631C2×C4—22no—
632C2×C4—21no—
633C2×C4—21no—
634C2×C4—21no—
635C2×C4—21no—
636C2×C4—41no—
637C2×C4—41no—
638C2×C4—41no—
639C2×C4—41no—
640C2×C4—41no—
641C2×C4—41no—
642C2×C4—41no—
643C2×C4—432no—
644C2×C4—432no—
645C2×C4—432no—
646C2×C4—434no—
647C2×C4—434no—
648C2×C4—434no—
649C2×C4—434no—
650C2×C4—8616no—
651C2×C4—862no—
652C2×C4—862no—
653C2×C4—862no—
654C2×C4—862no—
655C2×C4—862no—
656C2×C4—861no—
657C2×C4—861no—
658C2×C4—861no—
659C2×C4—861no—
660C2×C4—861no—
661C2×C4—861no—
662C2×C4—3444no—
663C2×C4—1721no—
664C2×C4—1721no—
665C2×C4—1721no—
666C2×C4—1721no—
667C2×C4—1721no—
668C2×C4—1721no—
669C2×C4—1721no—
670C2×C4C22×C4×D4311yescharacteristic
671C2×C4C2×D4×D4311yescharacteristic
672C2×C4C2×D4×D4311yescharacteristic
673C2×C4C2×Q8×D4311yescharacteristic
674C2×C4#41×D4311yescharacteristic
675C2×C4#41×D4311yescharacteristic
676C8—22no—
677C8—41no—
678C8—862no—
679C8—1721no—
680C22—434no—
681C22—862no—
682C22—862no—
683C22—862no—
684C22—862no—
685C22—862no—
686C22—862no—
687C22C4×D4×D4311yescharacteristic
688C22#120×D4311yescharacteristic
689C22C22⋊Q8×D4311yescharacteristic
690C22#1458370611yescharacteristic
691C22#1458370911yescharacteristic
692C22#1458371211yescharacteristic
693C22#1458371511yescharacteristic
694C4—24no—
695C4—42no—
696C4—41no—
697C4—42no—
698C4—41no—
699C4—81no—
700C4—434no—
701C4—864no—
702C4—3441no—
703C4—1722no—
704C4—1721no—
705C4—1721no—
706C4—1722no—
707C4C2×C4⋊C4×D4311yescharacteristic
708C4C4×D4×D4311yescharacteristic
709C4C22⋊Q8×D4311yescharacteristic
710C4#123×D4311yescharacteristic
711C2—864no—
712C2#385×D4311yescharacteristic
713C2#1914343311yescharacteristic
714C2#1914343511yescharacteristic
715C2#1914387811yescharacteristic
716C2#1914388511yescharacteristic
717C2#1914443211yescharacteristic
718C2#1914443411yescharacteristic
subgroupG/H
centerC23C2×D4×D43
commutatorC2×C4×C43C23×C4
FrattiniC22×C4C23×D43
FittingC43×#1863C2
socleC23×C43C22×D4
prime radicalC23×D43C2×D4
cosocleC22×C4×C43C24
hypercenter#1863D43
hypocenterC43#20877
LCSG ▷ C2×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C23 ◁ C2×C42 ◁ #1863

Complements

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

NH ≅ G/Ntype
6. #19134866C2semidirect
7. #19134865C2semidirect
8. #19134862C2semidirect
9. #19134861C2semidirect
10. #19134850C2semidirect
11. #19134849C2semidirect
12. #19134846C2semidirect
15. C43×#1863C2semidirect
36. #14582906C4semidirect
127. #13063250C2×C4semidirect
129. #13063249C2×C4semidirect
131. #13063248C2×C4semidirect
149. #103×C43C2×C4semidirect
175. Q8×D43C4⋊C4semidirect
364. #1863D43semidirect
423. C43#20877semidirect
506. #103C4×D43semidirect

Maximal subgroups

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

subgroupindex
C2×#145833752
C2×#145829402
C2×#145829062
C2×#103×D432
#191372172
#191348662
#191348652
#191348622
#191348612
#191348502
#191348492
#191348462
#191343102
#191342902
C43×#18632
#2087743