Finite Group Databasebeta

← #25097816

Subgroups — #25097816

Order 11008.

1986 conjugacy classes of subgroups.

The subgroup lattice has 752 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#14583411C211yesmaximal, characteristic
2C2×#117×D43C211yesmaximal, characteristic, complemented
3C2×#14582896C211yesmaximal, characteristic, complemented
4C2×#14582893C211yesmaximal, characteristic, complemented
5C22×(C2×D43)⋊C8C211yesmaximal, characteristic, complemented
6#19134916C212yesmaximal, complemented
7#19134911C212yesmaximal, complemented
8#19134906C212yesmaximal, complemented
9#19134901C212yesmaximal, complemented
10#19134311C211yesmaximal, characteristic, complemented
11C43×#1735C211yesmaximal, characteristic, complemented
12C22×#10621898C2211yescharacteristic
13C23×C4×D43C2211yescharacteristic
14C23×C43⋊C8C2211yescharacteristic
15#14583411—24no—
16#14583411C418yescomplemented
17C2×#13063309—21no—
18C2×#13063305C2211yescharacteristic
19C2×#13063305C2211yescharacteristic
20C2×#13063300C2211yescharacteristic
21C2×#13063300C2211yescharacteristic
22C2×#13063295—21no—
23C2×C4×D172—21no—
24C2×C4×D172—21no—
25C2×#13063284C2211yescharacteristic
26C2×#13063283C2212yes—
27C2×#13063282—21no—
28C2×#13063281—21no—
29#117×D43—24no—
30#117×D43—24no—
31C2×C4⋊C4×D43C2212yes—
32C2×C22⋊C4×D43—21no—
33C2×C42×D43—21no—
34#14582896—24no—
35#14582893—24no—
36C2×#13063250C2212yescomplemented
37C2×#13063248C2212yescomplemented
38C2×#13063247C2212yescomplemented
39C2×#13063245C2212yescomplemented
40C2×(C2×D43)⋊C8—24no—
41C2×(C2×D43)⋊C8C2212yes—
42C2×(C2×D43)⋊C8C2212yes—
43#14582661C2212yescomplemented
44#14582661C2212yescomplemented
45C23×C8×C43C2211yescharacteristic
46C2×#117×C43C2211yescharacteristic
47C2×#117×C43C2211yescharacteristic
48C43×#340C2212yescomplemented
49C43×#340C2212yescomplemented
50C24×D43D411yescharacteristic
51C2×#10621898—22no—
52C2×#10621898—22no—
53C2×#10621898—22no—
54C2×#10621898—22no—
55C2×#10621898—22no—
56C2×#10621898C2×C414yescomplemented
57C22×Dic86C2311yescharacteristic
58C22×D172—21no—
59C22×D172—21no—
60C22×D172C2311yescharacteristic
61C22×C22⋊D43—21no—
62C23×Dic43D411yescharacteristic
63C22×C4×D43—22no—
64C22×C4×D43—22no—
65C22×C4×D43—22no—
66C22×C4×D43—22no—
67C22×C4×D43—22no—
68C22×C4×D43—21no—
69C22×C4×D43C2×C414yes—
70C22×C4×D43D411yescharacteristic
71C22×C4×D43D411yescharacteristic
72C22×C4×D43D414yes—
73C22×C4×D43C2311yescharacteristic
74C22×C4×D43C2311yescharacteristic
75C22×C43⋊C8—22no—
76C22×C43⋊C8—22no—
77C22×C43⋊C8—22no—
78C22×C43⋊C8C2312yes—
79#13063309—28no—
80#13063305—22no—
81#13063305—22no—
82#13063305C2×C414yes—
83#13063305C2×C414yescomplemented
84#13063300—22no—
85#13063300—22no—
86#13063300C2×C414yes—
87#13063300C2×C414yescomplemented
88#13063295—28no—
89C4×D172—28no—
90C4×D172—28no—
91#13063284—22no—
92#13063284D414yescomplemented
93#13063283—24no—
94#13063283—24no—
95#13063282—28no—
96#13063281—28no—
97C2×C4⋊Dic43—21no—
98C2×C4⋊Dic43—21no—
99C2×C4⋊Dic43C2312yes—
100C2×Dic43⋊C4—22no—
101C4⋊C4×D43—24no—
102C4⋊C4×D43—24no—
103C2×C22⋊Dic43—21no—
104C2×(C2×D43)⋊C4—22no—
105C2×(C2×D43)⋊C4—21no—
106C2×(C2×D43)⋊C4—21no—
107C2×(C2×D43)⋊C4—21no—
108C2×(C2×D43)⋊C4—21no—
109C22⋊C4×D43—28no—
110C2×C4×Dic43—21no—
111C2×C4×Dic43—22no—
112C42×D43—28no—
113#13063250—24no—
114#13063248—24no—
115#13063247—24no—
116#13063245—24no—
117(C2×D43)⋊C8—24no—
118(C2×D43)⋊C8—24no—
119C23×C4×C43C2311yescharacteristic
120C22×C8×C43—22no—
121C22×C8×C43—22no—
122C22×C8×C43—22no—
123C22×C8×C43C2312yes—
124#117×C43—22no—
125#117×C43—22no—
126#117×C43C2×C414yescomplemented
127#117×C43D414yescomplemented
128C2×C4⋊C4×C43C2311yescharacteristic
129C2×C4⋊C4×C43C2311yescharacteristic
130C2×C4⋊C4×C43C2312yes—
131C2×C22⋊C4×C43—21no—
132C2×C22⋊C4×C43—21no—
133C2×C42×C43—21no—
134C2×C42×C43—21no—
135C24×C43C2×D411yescharacteristic
136C23×D43—22no—
137C23×D43—22no—
138C23×D43—24no—
139C23×D43—21no—
140C23×D43—42no—
141C23×D43C22⋊C414yes—
142C23×D43C2×D411yescharacteristic
143C23×D43C2×D411yescharacteristic
144C22×C4×C43—22no—
145C22×C4×C43—21no—
146C22×C4×C43—21no—
147C22×C4×C43C22×C412yes—
148C22×C4×C43C2×D412yes—
149C22×C4×C43C2×D412yes—
150C22×C4×C43C2×D412yes—
151C22×C4×C43C2×D411yescharacteristic
152C22×C4×C43#4112yes—
153C22×C4×C43#4112yes—
154C22×C4×C43C2411yescharacteristic
155C2×C22⋊D43—24no—
156C2×C22⋊D43—42no—
157C2×C22⋊D43—42no—
158C22×Dic43—22no—
159C22×Dic43—22no—
160C22×Dic43—22no—
161C22×Dic43—21no—
162C22×Dic43C22⋊C414yes—
163C22×Dic43C2×D411yescharacteristic
164C22×Dic43C2×D411yescharacteristic
165#10621898—28no—
166#10621898—28no—
167#10621898—44no—
168#10621898—44no—
169C2×D172—21no—
170C2×D172—24no—
171C2×D172—24no—
172C2×D172—21no—
173C2×D172—21no—
174C2×D172—21no—
175C2×D172—21no—
176C2×D172—44no—
177C2×D172—44no—
178C2×D172C22×C412yes—
179C2×C4×D43—28no—
180C2×C4×D43—28no—
181C2×C4×D43—22no—
182C2×C4×D43—22no—
183C2×C4×D43—28no—
184C2×C4×D43—28no—
185C2×C4×D43—22no—
186C2×C4×D43—22no—
187C2×C4×D43—21no—
188C2×C4×D43—21no—
189C2×C4×D43—21no—
190C2×C4×D43—21no—
191C2×C4×D43—21no—
192C2×C4×D43—21no—
193C2×C4×D43—21no—
194C2×C4×D43—21no—
195C2×C4×D43—28no—
196C2×C4×D43—24no—
197C2×C4×D43—44no—
198C2×C4×D43—42no—
199C2×C4×D43—42no—
200C2×C4×D43—44no—
201C2×C4×D43C22⋊C414yes—
202C2×C4×D43C22⋊C414yes—
203C2×C4×D43C22×C412yes—
204C2×C4×D43C22×C412yes—
205C2×C4×D43C2×D412yes—
206C2×C4×D43C2×D412yes—
207C2×Dic86—21no—
208C2×Dic86—21no—
209C2×Dic86—21no—
210C2×Dic86—21no—
211C2×Dic86—21no—
212C2×Dic86C22×C412yes—
213C2×C8×C43—22no—
214C2×C8×C43—22no—
215C2×C8×C43—22no—
216C2×C8×C43—44no—
217C4⋊C4×C43—22no—
218C4⋊C4×C43—21no—
219C4⋊C4×C43—21no—
220C4⋊C4×C43C22×C412yes—
221C4⋊C4×C43C22×C412yes—
222C4⋊C4×C43C2×D414yes—
223C22⋊C4×C43—24no—
224C22⋊C4×C43—24no—
225C42×C43—24no—
226C42×C43—24no—
227C22⋊Dic43—24no—
228(C2×D43)⋊C4—28no—
229(C2×D43)⋊C4—24no—
230(C2×D43)⋊C4—24no—
231(C2×D43)⋊C4—24no—
232(C2×D43)⋊C4—24no—
233C4⋊Dic43—22no—
234C4⋊Dic43—24no—
235C4⋊Dic43—24no—
236C4⋊Dic43C2×D414yes—
237Dic43⋊C4—28no—
238C4×Dic43—28no—
239C4×Dic43—24no—
240C2×C43⋊C8—22no—
241C2×C43⋊C8—22no—
242C2×C43⋊C8—22no—
243C2×C43⋊C8—44no—
244C23×C43—22no—
245C23×C43—22no—
246C23×C43C2×C22⋊C412yes—
247C23×C43#12012yes—
248C23×C43#12312yes—
249C23×C43C22×D411yescharacteristic
250C22×D43—21no—
251C22×D43—21no—
252C22×D43—22no—
253C22×D43—21no—
254C22×D43—21no—
255C22×D43—22no—
256C22×D43—22no—
257C22×D43—28no—
258C22×D43—28no—
259C22×D43—22no—
260C22×D43—44no—
261C22×D43—48no—
262C22×D43—48no—
263C22×D43—41no—
264C22×D43—41no—
265C22×D43—42no—
266C22×D43—42no—
267C22×D43C2×C22⋊C412yes—
268C22×D43C2×C22⋊C412yes—
269C22×D43#13514yes—
270C2×C4×C43—22no—
271C2×C4×C43—22no—
272C2×C4×C43—24no—
273C2×C4×C43—42no—
274C2×C4×C43—42no—
275C2×C4×C43—42no—
276C2×C4×C43—42no—
277C2×C4×C43C2×C22⋊C412yes—
278C2×C4×C43C4×D414yes—
279C2×C4×C43C4×D414yes—
280C2×C4×C43#12012yes—
281C2×C4×C43#12114yes—
282C2×C4×C43#12114yes—
283C2×C4×C43#12312yes—
284C2×C4×C43C23×C411yescharacteristic
285C2×C4×C43C22×D411yescharacteristic
286C2×C4×C43C22×D411yescharacteristic
287C2×C4×C43C22×D411yescharacteristic
288C2×C4×C43C2×#4111yescharacteristic
289C2×C4×C43C2×#4111yescharacteristic
290C22⋊D43—48no—
291C2×Dic43—21no—
292C2×Dic43—21no—
293C2×Dic43—21no—
294C2×Dic43—21no—
295C2×Dic43—28no—
296C2×Dic43—22no—
297C2×Dic43—24no—
298C2×Dic43—41no—
299C2×Dic43—41no—
300C2×Dic43—42no—
301C2×Dic43—42no—
302C2×Dic43C2×C22⋊C412yes—
303C2×Dic43C2×C22⋊C412yes—
304D172—22no—
305D172—22no—
306D172—48no—
307D172—48no—
308D172—41no—
309D172—41no—
310C4×D43—22no—
311C4×D43—22no—
312C4×D43—22no—
313C4×D43—22no—
314C4×D43—22no—
315C4×D43—22no—
316C4×D43—22no—
317C4×D43—22no—
318C4×D43—28no—
319C4×D43—28no—
320C4×D43—416no—
321C4×D43—48no—
322Dic86—22no—
323Dic86—22no—
324Dic86—41no—
325Dic86—41no—
326C8×C43—42no—
327C43⋊C8—42no—
328#20908—431nomaximal, Sylow
329C22×C43—24no—
330C22×C43—22no—
331C22×C43—22no—
332C22×C43—24no—
333C22×C43#38614yes—
334C22×C43C22×C22⋊C411yescharacteristic
335C22×C43C2×#12011yescharacteristic
336C22×C43C2×#12311yescharacteristic
337C22×C43C2×#13512yes—
338C22×C43#57512yes—
339C2×D43—24no—
340C2×D43—22no—
341C2×D43—24no—
342C2×D43—22no—
343C2×D43—22no—
344C2×D43—22no—
345C2×D43—22no—
346C2×D43—416no—
347C2×D43—42no—
348C2×D43—42no—
349C2×D43—42no—
350C2×D43—42no—
351C2×D43—42no—
352C2×D43—82no—
353C2×D43—82no—
354C2×D43#41614yescomplemented
355C4×C43—42no—
356C4×C43—42no—
357C4×C43—44no—
358C4×C43#38614yes—
359C4×C43C2×C4×D411yescharacteristic
360C4×C43C2×C4×D411yescharacteristic
361C4×C43C2×#12111yescharacteristic
362C4×C43C2×#12111yescharacteristic
363Dic43—22no—
364Dic43—22no—
365Dic43—44no—
366Dic43—42no—
367C2×#525—431no—
368C22×#117—431no—
369C2×#416—431no—
370C2×#416—431no—
371C22×C22⋊C8—431no—
372#1875—432no—
373#1874—432no—
374#1873—432no—
375#1872—432no—
376#1735—431no—
377#1735D4311yescharacteristic, complemented
378C2×C43—24no—
379C2×C43C2×#38611yescharacteristic
380C2×C43C2×#41611yescharacteristic
381C2×C43#289611yescharacteristic
382C2×C43#300212yes—
383C2×C43#309112yes—
384D43—24no—
385D43—42no—
386D43—82no—
387C22×#41—431no—
388C24×C4—431no—
389C23×C8—431no—
390C23×C8C2×D4311yescharacteristic
391#525—438no—
392#525—864no—
393C2×#123—861no—
394C2×C22⋊Q8—431no—
395C2×C22⋊Q8—431no—
396C2×#121—431no—
397C2×#121—431no—
398C2×#120—861no—
399C2×C4×D4—861no—
400C2×C4×D4—861no—
401C2×#117—431no—
402C2×#117—432no—
403C2×#117—861no—
404C2×#117—861no—
405C2×#117—864no—
406C2×#117—864no—
407C2×#117C2×D4311yescharacteristic
408C2×#117C2×D4311yescharacteristic
409C22×C4⋊C4—432no—
410C22×C22⋊C4—861no—
411C22×C42—861no—
412#416—864no—
413#416—864no—
414C2×#103—432no—
415C2×#103—432no—
416C2×#102—432no—
417C2×#102—432no—
418C2×C22⋊C8—432no—
419C2×C22⋊C8—432no—
420C2×C22⋊C8—864no—
421#340—432no—
422#340—432no—
423#340C2×D4312yescomplemented
424#340C2×D4312yescomplemented
425C43#2090811yescharacteristic, complemented, Sylow
426C25—431no—
427C2×#41—434no—
428C2×#41—862no—
429C2×#41—862no—
430C2×#41—862no—
431C2×#41—862no—
432C2×#41—862no—
433C22×Q8—431no—
434C22×D4—431no—
435C22×D4—861no—
436C22×D4—861no—
437C22×D4—861no—
438C23×C4—431no—
439C23×C4—434no—
440C23×C4—434no—
441C23×C4—431no—
442C23×C4—431no—
443C23×C4—431no—
444C23×C4—431no—
445C23×C4—862no—
446C23×C4—862no—
447C23×C4—862no—
448C23×C4—862no—
449C23×C4—862no—
450C23×C4—861no—
451C23×C4C22×D4311yescharacteristic
452C22×C8—22no—
453C22×C8—22no—
454C22×C8—22no—
455C22×C8—432no—
456C22×C8—862no—
457C22×C8—862no—
458C22×C8—862no—
459C22×C8C22×D4312yes—
460#123—868no—
461C22⋊Q8—434no—
462C22⋊Q8—434no—
463C22⋊Q8—862no—
464C22⋊Q8—862no—
465#121—434no—
466#121—434no—
467#121—862no—
468#121—862no—
469#120—868no—
470C4×D4—868no—
471C4×D4—868no—
472#117—22no—
473#117—22no—
474#117—434no—
475#117—868no—
476#117—868no—
477#117—864no—
478#117—862no—
479#117—864no—
480#117C4×D4314yescomplemented
481#117D17214yescomplemented
482C2×C4⋊C4—432no—
483C2×C4⋊C4—864no—
484C2×C4⋊C4—862no—
485C2×C4⋊C4—861no—
486C2×C4⋊C4—861no—
487C2×C4⋊C4—864no—
488C2×C4⋊C4C22×D4311yescharacteristic
489C2×C4⋊C4C22×D4311yescharacteristic
490C2×C4⋊C4C22×D4312yes—
491C2×C22⋊C4—21no—
492C2×C22⋊C4—21no—
493C2×C22⋊C4—868no—
494C2×C22⋊C4—861no—
495C2×C22⋊C4—861no—
496C2×C22⋊C4—862no—
497C2×C22⋊C4—861no—
498C2×C22⋊C4—861no—
499C2×C22⋊C4—861no—
500C2×C42—21no—
501C2×C42—21no—
502C2×C42—868no—
503C2×C42—862no—
504C2×C42—861no—
505#103—864no—
506#103—864no—
507#102—864no—
508#102—864no—
509C22⋊C8—864no—
510C22⋊C8—864no—
511C24—431no—
512C24—431no—
513C24—434no—
514C24—864no—
515C24—862no—
516C24—862no—
517C24—861no—
518C24—1722no—
519C24D4×D4311yescharacteristic
520#41—868no—
521#41—868no—
522#41—1724no—
523#41—1724no—
524C2×Q8—432no—
525C2×Q8—861no—
526C2×Q8—861no—
527C2×Q8—861no—
528C2×Q8—861no—
529C2×Q8—861no—
530C2×D4—432no—
531C2×D4—864no—
532C2×D4—864no—
533C2×D4—864no—
534C2×D4—861no—
535C2×D4—861no—
536C2×D4—861no—
537C2×D4—861no—
538C2×D4—861no—
539C2×D4—1724no—
540C2×D4—1724no—
541C2×D4—1722no—
542C2×D4—1722no—
543C22×C4—22no—
544C22×C4—21no—
545C22×C4—21no—
546C22×C4—434no—
547C22×C4—431no—
548C22×C4—431no—
549C22×C4—434no—
550C22×C4—434no—
551C22×C4—432no—
552C22×C4—432no—
553C22×C4—432no—
554C22×C4—432no—
555C22×C4—868no—
556C22×C4—862no—
557C22×C4—862no—
558C22×C4—868no—
559C22×C4—868no—
560C22×C4—862no—
561C22×C4—862no—
562C22×C4—868no—
563C22×C4—868no—
564C22×C4—862no—
565C22×C4—862no—
566C22×C4—861no—
567C22×C4—861no—
568C22×C4—861no—
569C22×C4—861no—
570C22×C4—861no—
571C22×C4—861no—
572C22×C4—861no—
573C22×C4—861no—
574C22×C4—862no—
575C22×C4—861no—
576C22×C4—864no—
577C22×C4—1724no—
578C22×C4—1724no—
579C22×C4—1722no—
580C22×C4—1722no—
581C22×C4C2×C4×D4312yes—
582C22×C4C2×D17212yes—
583C22×C4#1062189812yes—
584C22×C4D4×D4312yes—
585C22×C4D4×D4312yes—
586C22×C4D4×D4311yescharacteristic
587C22×C4#1062190212yes—
588C22×C4C23×D4311yescharacteristic
589C2×C8—22no—
590C2×C8—22no—
591C2×C8—22no—
592C2×C8—44no—
593C2×C8—862no—
594C2×C8—862no—
595C2×C8—862no—
596C2×C8—1724no—
597C4⋊C4—22no—
598C4⋊C4—21no—
599C4⋊C4—21no—
600C4⋊C4—434no—
601C4⋊C4—864no—
602C4⋊C4—864no—
603C4⋊C4—868no—
604C4⋊C4—862no—
605C4⋊C4C2×C4×D4312yes—
606C4⋊C4C2×C4×D4312yes—
607C4⋊C4C2×D17214yes—
608C22⋊C4—24no—
609C22⋊C4—24no—
610C22⋊C4—864no—
611C22⋊C4—864no—
612C22⋊C4—864no—
613C22⋊C4—864no—
614C22⋊C4—868no—
615C22⋊C4—864no—
616C42—24no—
617C42—24no—
618C42—868no—
619C42—864no—
620C23—22no—
621C23—22no—
622C23—432no—
623C23—434no—
624C23—432no—
625C23—868no—
626C23—861no—
627C23—861no—
628C23—862no—
629C23—861no—
630C23—861no—
631C23—862no—
632C23—862no—
633C23—868no—
634C23—862no—
635C23—1724no—
636C23—1728no—
637C23—1728no—
638C23—1721no—
639C23—1721no—
640C23—1722no—
641C23—1722no—
642C23C22⋊C4×D4312yes—
643C23#1306329512yes—
644C23#1306331012yes—
645C23C2×D4×D4311yescharacteristic
646Q8—862no—
647Q8—862no—
648Q8—1721no—
649Q8—1721no—
650D4—862no—
651D4—862no—
652D4—1728no—
653D4—1728no—
654D4—1728no—
655D4—1721no—
656D4—1721no—
657C2×C4—22no—
658C2×C4—22no—
659C2×C4—24no—
660C2×C4—42no—
661C2×C4—42no—
662C2×C4—42no—
663C2×C4—42no—
664C2×C4—432no—
665C2×C4—432no—
666C2×C4—861no—
667C2×C4—861no—
668C2×C4—861no—
669C2×C4—861no—
670C2×C4—868no—
671C2×C4—862no—
672C2×C4—862no—
673C2×C4—862no—
674C2×C4—862no—
675C2×C4—862no—
676C2×C4—862no—
677C2×C4—862no—
678C2×C4—862no—
679C2×C4—868no—
680C2×C4—868no—
681C2×C4—862no—
682C2×C4—864no—
683C2×C4—17216no—
684C2×C4—1721no—
685C2×C4—1721no—
686C2×C4—1722no—
687C2×C4—1722no—
688C2×C4—1728no—
689C2×C4C22⋊C4×D4312yes—
690C2×C4#1306328714yes—
691C2×C4C4×D17214yes—
692C2×C4#1306329512yes—
693C2×C4#1306329814yes—
694C2×C4#1306330014yes—
695C2×C4#1306331012yes—
696C2×C4C22×C4×D4311yescharacteristic
697C2×C4C2×D4×D4311yescharacteristic
698C2×C4C2×D4×D4311yescharacteristic
699C2×C4C22×D17211yescharacteristic
700C2×C4C2×#1062189811yescharacteristic
701C2×C4C2×#1062190211yescharacteristic
702C8—42no—
703C8—1722no—
704C22—24no—
705C22—24no—
706C22—22no—
707C22—22no—
708C22—434no—
709C22—864no—
710C22—864no—
711C22—862no—
712C22—862no—
713C22—862no—
714C22—862no—
715C22—862no—
716C22—3442no—
717C22—3442no—
718C22—17216no—
719C22—1722no—
720C22—1722no—
721C22—1722no—
722C22—1722no—
723C22—1722no—
724C22#1458277714yes—
725C22C2×C22⋊C4×D4311yescharacteristic
726C22C2×#1306329511yescharacteristic
727C22C2×#1306331011yescharacteristic
728C22#135×D4312yes—
729C22#1458369612yes—
730C4—44no—
731C4—42no—
732C4—42no—
733C4—862no—
734C4—862no—
735C4—1724no—
736C4—1722no—
737C4#1458277714yes—
738C4C2×#1306328711yescharacteristic
739C4C2×C4×D17211yescharacteristic
740C4C2×#1306329811yescharacteristic
741C4C2×#1306330011yescharacteristic
742C2—24no—
743C2—864no—
744C2—3442no—
745C2—1722no—
746C2C2×#1458277711yescharacteristic
747C2#416×D4311yescharacteristic
748C2#1914311011yescharacteristic
749C2#1914381512yes—
750C2#1914451212yes—
subgroupG/H
centerC22×C4D4×D43
commutatorC2×C4×C43C23×C4
FrattiniC22×C4C23×D43
FittingC43×#1735C2
socleC23×C43C22×D4
prime radicalC2×#14583411C2
cosocleC22×C4×C43C24
hypercenter#1735D43
hypocenterC43#20908
LCSG ▷ C2×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C22×C4 ◁ C23×C4 ◁ #1735

Complements

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

NH ≅ G/Ntype
2. C2×#117×D43C2semidirect
3. C2×#14582896C2semidirect
4. C2×#14582893C2semidirect
5. C22×(C2×D43)⋊C8C2semidirect
6. #19134916C2semidirect
7. #19134911C2semidirect
8. #19134906C2semidirect
9. #19134901C2semidirect
10. #19134311C2semidirect
11. C43×#1735C2semidirect
16. #14583411C4semidirect
36. C2×#13063250C22semidirect
37. C2×#13063248C22semidirect
38. C2×#13063247C22semidirect
39. C2×#13063245C22semidirect
43. #14582661C22semidirect
44. #14582661C22semidirect
48. C43×#340C22semidirect
49. C43×#340C22semidirect
56. C2×#10621898C2×C4semidirect
83. #13063305C2×C4semidirect
87. #13063300C2×C4semidirect
92. #13063284D4semidirect
126. #117×C43C2×C4semidirect
127. #117×C43D4semidirect
354. C2×D43#416semidirect
377. #1735D43semidirect
423. #340C2×D43semidirect
424. #340C2×D43semidirect
425. C43#20908semidirect
480. #117C4×D43semidirect
481. #117D172semidirect

Maximal subgroups

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

subgroupindex
C2×#145834112
C2×#117×D432
C2×#145828962
C2×#145828932
C22×(C2×D43)⋊C82
#191349162
#191349112
#191349062
#191349012
#191343112
C43×#17352
#2090843