Finite Group Databasebeta

← #25125289

Subgroups — #25125289

Order 11008.

1178 conjugacy classes of subgroups.

The subgroup lattice has 736 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#14582940C211yesmaximal, characteristic, complemented
2C2×#14582921C211yesmaximal, characteristic, complemented
3C2×#14582899C211yesmaximal, characteristic
4C2×#14582899C211yesmaximal, characteristic
5#19137084C211yesmaximal, characteristic
6#389×D43C211yesmaximal, characteristic, complemented
7#19135990C211yesmaximal, characteristic, complemented
8#19135984C211yesmaximal, characteristic, complemented
9#19135978C211yesmaximal, characteristic, complemented
10#19135974C211yesmaximal, characteristic, complemented
11#19135972C211yesmaximal, characteristic, complemented
12#19135968C211yesmaximal, characteristic, complemented
13#19135966C211yesmaximal, characteristic, complemented
14#19134313C211yesmaximal, characteristic, complemented
15C43×#2068C211yesmaximal, characteristic, complemented
16C22×#10621902C2211yescharacteristic
17C22×#10621872C2211yescharacteristic
18C22×#10621872C2211yescharacteristic
19C2×#13063283C2211yescharacteristic
20C2×C4⋊C4×D43—21no—
21C2×C4⋊C4×D43C2211yescharacteristic
22C2×C4⋊C4×D43C2211yescharacteristic
23C2×C42×D43C2211yescharacteristic
24#14582940—24no—
25C2×#13063258C2211yescharacteristic
26C2×#13063257C2211yescharacteristic
27C2×#13063256C2211yescharacteristic
28#14582921—24no—
29C2×C4⋊(C43⋊C8)C2211yescharacteristic
30C2×Dic43⋊C8C2211yescharacteristic
31C2×Dic43⋊C8C2211yescharacteristic
32#14582899—24no—
33#14582899—24no—
34C2×#13063249C2211yescharacteristic
35C2×#13063249C2211yescharacteristic
36C2×#13063247C2211yescharacteristic
37C2×#13063247C2211yescharacteristic
38C2×#13063245C2211yescharacteristic
39C2×#13063245C2211yescharacteristic
40#14582806C2211yescharacteristic
41#14582801C2211yescharacteristic
42#14582800C2211yescharacteristic
43#14582798C2211yescharacteristic
44#14582797C2211yescharacteristic
45#14582796—21no—
46#14582795C2211yescharacteristic
47#14582794—21no—
48#14582777—21no—
49#14582777—21no—
50#14582746—21no—
51#14582746—21no—
52#95×D43—21no—
53#14582662C2211yescharacteristic
54#14582661C2211yescharacteristic
55#14582661C2211yescharacteristic
56C2×#107×C43C2211yescharacteristic
57C2×C4⋊C8×C43C2211yescharacteristic
58C2×#103×C43C2211yescharacteristic
59C2×#103×C43C2211yescharacteristic
60C43×#391C2211yescharacteristic
61C43×#389C2211yescharacteristic
62C43×#340C2211yescharacteristic
63C2×#10621902—22no—
64C2×#10621902—22no—
65C2×#10621902—22no—
66C2×#10621902—22no—
67C2×#10621902—22no—
68C2×#10621902Q814yes—
69C22×D172—21no—
70C22×D172C2311yescharacteristic
71C22×C4×D43—21no—
72C22×C4×D43—21no—
73C22×C4×D43—21no—
74C22×C4×D43D411yescharacteristic
75C22×C4×D43D411yescharacteristic
76C22×C4×D43C2311yescharacteristic
77C2×#10621872—22no—
78C2×#10621872—22no—
79C2×#10621872—22no—
80C2×#10621872—22no—
81C2×#10621872—22no—
82C2×#10621872D414yes—
83C22×C43⋊C8C2311yescharacteristic
84C22×C43⋊C8C2311yescharacteristic
85#13063283—22no—
86#13063283—22no—
87C2×C4⋊Dic43—21no—
88C2×C4⋊Dic43C2311yescharacteristic
89C2×C4⋊Dic43C2311yescharacteristic
90C2×C4⋊Dic43C2311yescharacteristic
91C2×Dic43⋊C4—21no—
92C2×Dic43⋊C4—21no—
93C2×Dic43⋊C4—21no—
94C2×Dic43⋊C4—21no—
95C4⋊C4×D43—22no—
96C4⋊C4×D43—22no—
97C4⋊C4×D43—22no—
98C4⋊C4×D43—44no—
99C4⋊C4×D43D414yes—
100C2×(C2×D43)⋊C4—21no—
101C2×(C2×D43)⋊C4—21no—
102C2×(C2×D43)⋊C4—21no—
103C2×(C2×D43)⋊C4—21no—
104C2×(C2×D43)⋊C4—21no—
105C2×C4×Dic43—21no—
106C2×C4×Dic43D411yescharacteristic
107C2×C4×Dic43D411yescharacteristic
108C2×C4×Dic43C2311yescharacteristic
109C42×D43—22no—
110C42×D43—22no—
111#13063258—22no—
112#13063257—22no—
113#13063256—22no—
114C4⋊(C43⋊C8)—22no—
115Dic43⋊C8—22no—
116Dic43⋊C8—22no—
117#13063249—22no—
118#13063249—22no—
119#13063247—22no—
120#13063247—22no—
121#13063245—22no—
122#13063245—22no—
123C43⋊#95—21no—
124C43⋊#95—21no—
125C43⋊#95—21no—
126C43⋊#95—21no—
127C43⋊#95—21no—
128C22×Q8×C43C2311yescharacteristic
129C22×C8×C43C2311yescharacteristic
130C22×C8×C43C2311yescharacteristic
131C2×C4⋊C4×C43—21no—
132C2×C4⋊C4×C43C2311yescharacteristic
133C2×C4⋊C4×C43C2311yescharacteristic
134C2×C4⋊C4×C43C2311yescharacteristic
135C2×C42×C43C2311yescharacteristic
136#107×C43—22no—
137C4⋊C8×C43—22no—
138#103×C43—22no—
139#103×C43—22no—
140#95×C43—21no—
141#95×C43—21no—
142#95×C43—21no—
143C23×D43—21no—
144C23×D43C2×D411yescharacteristic
145C2×Q8×C43—21no—
146C2×Q8×C43—21no—
147C2×Q8×C43—21no—
148C2×Q8×C43—21no—
149C2×Q8×C43—21no—
150C2×Q8×C43C2×Q812yes—
151C22×C4×C43—21no—
152C22×C4×C43—21no—
153C22×C4×C43—21no—
154C22×C4×C43—21no—
155C22×C4×C43C2×D411yescharacteristic
156C22×C4×C43C2×D411yescharacteristic
157C22×C4×C43C2411yescharacteristic
158C22×Dic43—21no—
159C22×Dic43—21no—
160C22×Dic43—21no—
161C22×Dic43C2×D411yescharacteristic
162C22×Dic43C2×D411yescharacteristic
163C22×Dic43C2×D411yescharacteristic
164#10621902—28no—
165#10621902—28no—
166#10621902—44no—
167#10621902—44no—
168C2×D172—21no—
169C2×D172—24no—
170C2×D172—21no—
171C2×D172—21no—
172C2×D172—21no—
173C2×D172—21no—
174C2×D172—42no—
175C2×D172—42no—
176C2×D172C2×Q812yes—
177C2×C4×D43—22no—
178C2×C4×D43—24no—
179C2×C4×D43—22no—
180C2×C4×D43—22no—
181C2×C4×D43—22no—
182C2×C4×D43—24no—
183C2×C4×D43—41no—
184C2×C4×D43—41no—
185C2×C4×D43—42no—
186C2×C4×D43—42no—
187C2×C4×D43—42no—
188C2×C4×D43—42no—
189C2×C4×D43—42no—
190C2×C4×D43—42no—
191C2×C4×D43—42no—
192C2×C4×D43C2×D412yes—
193C2×C4×D43C2×D412yes—
194C2×C4×D43C2×Q812yes—
195C2×C4×D43#4112yes—
196C2×C4×D43#4112yes—
197C2×C4×D43#4112yes—
198C2×C8×C43—21no—
199C2×C8×C43—21no—
200C2×C8×C43—21no—
201C2×C8×C43—21no—
202C2×C8×C43—21no—
203C2×C8×C43C2×D412yes—
204C4⋊C4×C43—21no—
205C4⋊C4×C43—21no—
206C4⋊C4×C43—21no—
207C4⋊C4×C43—21no—
208C4⋊C4×C43—21no—
209C4⋊C4×C43—42no—
210C4⋊C4×C43C2×D412yes—
211C42×C43—21no—
212C42×C43—21no—
213(C2×D43)⋊C4—42no—
214(C2×D43)⋊C4—42no—
215(C2×D43)⋊C4—42no—
216(C2×D43)⋊C4—42no—
217(C2×D43)⋊C4—42no—
218C4⋊Dic43—21no—
219C4⋊Dic43—21no—
220C4⋊Dic43—21no—
221C4⋊Dic43—21no—
222C4⋊Dic43—21no—
223C4⋊Dic43—42no—
224C4⋊Dic43C2×D412yes—
225Dic43⋊C4—24no—
226Dic43⋊C4—42no—
227Dic43⋊C4—42no—
228Dic43⋊C4—42no—
229C4×Dic43—21no—
230C4×Dic43—21no—
231C4×Dic43—22no—
232C4×Dic43—22no—
233C4×Dic43—42no—
234C2×C43⋊C8—21no—
235C2×C43⋊C8—21no—
236C2×C43⋊C8—21no—
237C2×C43⋊C8—21no—
238C2×C43⋊C8—21no—
239C2×C43⋊C8C2×D412yes—
240#10621872—28no—
241#10621872—44no—
242C23×C43C22×D411yescharacteristic
243C22×D43—21no—
244C22×D43—21no—
245C22×D43—21no—
246C22×D43—21no—
247C22×D43—22no—
248C22×D43—41no—
249C22×D43—41no—
250C22×D43—41no—
251C22×D43—41no—
252C22×D43—41no—
253C22×D43—41no—
254C22×D43#12112yes—
255C22×D43#12112yes—
256C22×D43C22⋊Q812yes—
257Q8×C43—22no—
258Q8×C43—22no—
259Q8×C43—41no—
260Q8×C43—41no—
261C2×C4×C43—21no—
262C2×C4×C43—21no—
263C2×C4×C43—21no—
264C2×C4×C43—22no—
265C2×C4×C43—22no—
266C2×C4×C43—21no—
267C2×C4×C43—21no—
268C2×C4×C43—41no—
269C2×C4×C43—41no—
270C2×C4×C43—41no—
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×C43#13712yes—
279C2×C4×C43C22×D411yescharacteristic
280C2×C4×C43C22×D411yescharacteristic
281C2×C4×C43C22×Q811yescharacteristic
282C2×C4×C43C2×#4111yescharacteristic
283C2×C4×C43C2×#4111yescharacteristic
284C2×C4×C43C2×#4111yescharacteristic
285C2×Dic43—21no—
286C2×Dic43—21no—
287C2×Dic43—21no—
288C2×Dic43—22no—
289C2×Dic43—21no—
290C2×Dic43—21no—
291C2×Dic43—41no—
292C2×Dic43—41no—
293C2×Dic43—41no—
294C2×Dic43—41no—
295C2×Dic43—41no—
296C2×Dic43—41no—
297C2×Dic43—41no—
298C2×Dic43—41no—
299C2×Dic43#12112yes—
300C2×Dic43#12112yes—
301C2×Dic43C22⋊Q812yes—
302C2×Dic43AGL(1,ℤ/8)12yes—
303D172—22no—
304D172—22no—
305D172—48no—
306D172—41no—
307D172—41no—
308C4×D43—44no—
309C4×D43—44no—
310C4×D43—48no—
311C4×D43—48no—
312C4×D43—84no—
313C4×D43#12114yes—
314C4×D43C22⋊Q814yes—
315C4×D43C22⋊Q814yes—
316C4×D43#12614yes—
317C8×C43—22no—
318C8×C43—41no—
319C43⋊C8—22no—
320C43⋊C8—41no—
321#23617—431nomaximal, Sylow
322C22×C43C2×#12111yescharacteristic
323C22×C43C2×#12111yescharacteristic
324C22×C43C2×C22⋊Q811yescharacteristic
325C22×C43C2×AGL(1,ℤ/8)11yescharacteristic
326C22×C43C2×#13711yescharacteristic
327C22×C43#57511yescharacteristic
328C22×C43#57511yescharacteristic
329C2×D43—22no—
330C2×D43—22no—
331C2×D43—22no—
332C2×D43—22no—
333C2×D43—22no—
334C2×D43—22no—
335C2×D43—42no—
336C2×D43—42no—
337C2×D43—42no—
338C2×D43—81no—
339C2×D43—81no—
340C2×D43—81no—
341C2×D43—81no—
342C2×D43#39614yes—
343C4×C43—22no—
344C4×C43—42no—
345C4×C43—42no—
346C4×C43—41no—
347C4×C43—81no—
348C4×C43—81no—
349C4×C43C2×#12111yescharacteristic
350C4×C43C2×C22⋊Q811yescharacteristic
351C4×C43C2×C22⋊Q811yescharacteristic
352C4×C43C2×#12611yescharacteristic
353Dic43—22no—
354Dic43—42no—
355Dic43—41no—
356Dic43—81no—
357Dic43—81no—
358Dic43#39614yes—
359C2×#428—431no—
360C2×#423—431no—
361C2×#417—431no—
362C2×#417—431no—
363#2297—431no—
364C2×#389—431no—
365#2068—431no—
366#2068D4311yescharacteristic, complemented
367#2067—431no—
368#2067—431no—
369#2066—431no—
370#2066—431no—
371#2065—431no—
372#2065—431no—
373#1736—431no—
374C2×C43C2×#39611yescharacteristic
375C2×C43#303611yescharacteristic
376C2×C43#303711yescharacteristic
377C2×C43#305511yescharacteristic
378C2×C43#305611yescharacteristic
379C2×C43#307911yescharacteristic
380C2×C43#308011yescharacteristic
381D43—24no—
382D43—82no—
383C22×#41—431no—
384C22×M16—431no—
385C22×M16—431no—
386C2×#117—431no—
387C22×C4⋊C4—431no—
388C22×C4⋊C4—431no—
389C22×C4⋊C4—861no—
390C22×C42—431no—
391#428—864no—
392C2×#107—431no—
393C2×#107C2×D4311yescharacteristic
394C2×#106—431no—
395C2×#106—431no—
396#423—864no—
397C2×C4⋊C8—431no—
398C2×C4⋊C8—431no—
399C2×C4⋊C8—431no—
400C2×C4⋊C8C2×D4311yescharacteristic
401#417—864no—
402#417—864no—
403C2×#103—431no—
404C2×#103—431no—
405C2×#103C2×D4311yescharacteristic
406C2×#103C2×D4311yescharacteristic
407C2×#102—431no—
408C2×#102—431no—
409C2×#102—431no—
410C2×#102—431no—
411#391—431no—
412#391C2×D4311yescharacteristic
413#390—431no—
414#390—431no—
415#389—431no—
416#389—431no—
417#389—431no—
418#389—861no—
419#389—861no—
420#389C2×D4311yescharacteristic
421#386—861no—
422#386—861no—
423C4×C22⋊C4—861no—
424C4×C22⋊C4—861no—
425C2×#95—861no—
426#340—431no—
427#340—431no—
428#340—431no—
429#340C2×D4311yescharacteristic
430C43#2361711yescharacteristic, complemented, Sylow
431C2×#41—434no—
432C2×#41—862no—
433C2×#41—862no—
434C2×#41—862no—
435C2×#41—862no—
436C2×#41—862no—
437C22×Q8C22×D4311yescharacteristic
438C22×D4—431no—
439C22×D4—861no—
440C23×C4—431no—
441C23×C4—431no—
442C23×C4—431no—
443C23×C4—861no—
444C23×C4—861no—
445C23×C4—861no—
446C2×M16—434no—
447C2×M16—862no—
448C2×M16—862no—
449C2×M16—862no—
450C2×M16—862no—
451C2×M16—862no—
452C22×C8—431no—
453C22×C8—431no—
454C22×C8C22×D4311yescharacteristic
455C22×C8C22×D4311yescharacteristic
456#117—862no—
457#117—862no—
458C2×C4⋊C4—21no—
459C2×C4⋊C4—431no—
460C2×C4⋊C4—434no—
461C2×C4⋊C4—431no—
462C2×C4⋊C4—431no—
463C2×C4⋊C4—862no—
464C2×C4⋊C4—862no—
465C2×C4⋊C4—862no—
466C2×C4⋊C4—861no—
467C2×C4⋊C4—861no—
468C2×C4⋊C4—861no—
469C2×C4⋊C4—861no—
470C2×C4⋊C4—861no—
471C2×C4⋊C4—1724no—
472C2×C4⋊C4C22×D4311yescharacteristic
473C2×C4⋊C4C22×D4311yescharacteristic
474C2×C4⋊C4C22×D4311yescharacteristic
475C2×C22⋊C4—861no—
476C2×C22⋊C4—861no—
477C2×C22⋊C4—861no—
478C2×C22⋊C4—861no—
479C2×C22⋊C4—861no—
480C2×C42—431no—
481C2×C42—431no—
482C2×C42—431no—
483C2×C42—862no—
484C2×C42—862no—
485C2×C42—861no—
486C2×C42C22×D4311yescharacteristic
487#107—22no—
488#107—862no—
489#106—862no—
490#106—862no—
491C4⋊C8—22no—
492C4⋊C8—862no—
493C4⋊C8—862no—
494C4⋊C8—862no—
495#103—22no—
496#103—22no—
497#103—862no—
498#103—862no—
499#102—862no—
500#102—862no—
501#102—862no—
502#102—862no—
503#95—21no—
504#95—21no—
505#95—21no—
506#95—861no—
507#95—861no—
508#95—861no—
509#95—861no—
510#95—861no—
511C24—431no—
512C24—861no—
513#41—868no—
514#41—868no—
515#41—1724no—
516#41—1724no—
517C2×Q8—21no—
518C2×Q8—21no—
519C2×Q8—21no—
520C2×Q8—21no—
521C2×Q8—21no—
522C2×Q8Q8×D4312yes—
523C2×D4—432no—
524C2×D4—864no—
525C2×D4—861no—
526C2×D4—861no—
527C2×D4—861no—
528C2×D4—861no—
529C2×D4—861no—
530C2×D4—1722no—
531C2×D4—1722no—
532C22×C4—21no—
533C22×C4—21no—
534C22×C4—21no—
535C22×C4—21no—
536C22×C4—431no—
537C22×C4—432no—
538C22×C4—432no—
539C22×C4—432no—
540C22×C4—432no—
541C22×C4—432no—
542C22×C4—432no—
543C22×C4—431no—
544C22×C4—431no—
545C22×C4—862no—
546C22×C4—864no—
547C22×C4—862no—
548C22×C4—862no—
549C22×C4—864no—
550C22×C4—861no—
551C22×C4—862no—
552C22×C4—861no—
553C22×C4—861no—
554C22×C4—1721no—
555C22×C4—1721no—
556C22×C4—1722no—
557C22×C4—1722no—
558C22×C4—1722no—
559C22×C4—1722no—
560C22×C4—1722no—
561C22×C4—1722no—
562C22×C4—1722no—
563C22×C4D4×D4311yescharacteristic
564C22×C4D4×D4311yescharacteristic
565C22×C4C23×D4311yescharacteristic
566M16—868no—
567M16—1724no—
568C2×C8—21no—
569C2×C8—21no—
570C2×C8—21no—
571C2×C8—21no—
572C2×C8—21no—
573C2×C8—432no—
574C2×C8—861no—
575C2×C8—861no—
576C2×C8—861no—
577C2×C8—861no—
578C2×C8—861no—
579C2×C8D4×D4312yes—
580C4⋊C4—21no—
581C4⋊C4—21no—
582C4⋊C4—21no—
583C4⋊C4—21no—
584C4⋊C4—21no—
585C4⋊C4—42no—
586C4⋊C4—432no—
587C4⋊C4—864no—
588C4⋊C4—861no—
589C4⋊C4—861no—
590C4⋊C4—861no—
591C4⋊C4—861no—
592C4⋊C4—861no—
593C4⋊C4—1722no—
594C4⋊C4—1722no—
595C4⋊C4—1722no—
596C4⋊C4—1722no—
597C4⋊C4D4×D4312yes—
598C22⋊C4—1722no—
599C22⋊C4—1722no—
600C22⋊C4—1722no—
601C22⋊C4—1722no—
602C22⋊C4—1722no—
603C42—21no—
604C42—21no—
605C42—862no—
606C42—862no—
607C42—861no—
608C42—861no—
609C42—1722no—
610C23—432no—
611C23—432no—
612C23—432no—
613C23—861no—
614C23—861no—
615C23—861no—
616C23—861no—
617C23—862no—
618C23—1721no—
619C23—1721no—
620C23—1721no—
621C23—1721no—
622C23—1721no—
623C23—1721no—
624C23C2×D4×D4311yescharacteristic
625Q8—22no—
626Q8—22no—
627Q8—41no—
628Q8—41no—
629D4—862no—
630D4—862no—
631D4—1728no—
632D4—1721no—
633D4—1721no—
634C2×C4—21no—
635C2×C4—21no—
636C2×C4—21no—
637C2×C4—22no—
638C2×C4—22no—
639C2×C4—21no—
640C2×C4—21no—
641C2×C4—41no—
642C2×C4—41no—
643C2×C4—41no—
644C2×C4—41no—
645C2×C4—41no—
646C2×C4—41no—
647C2×C4—41no—
648C2×C4—41no—
649C2×C4—41no—
650C2×C4—41no—
651C2×C4—432no—
652C2×C4—432no—
653C2×C4—432no—
654C2×C4—434no—
655C2×C4—434no—
656C2×C4—434no—
657C2×C4—434no—
658C2×C4—432no—
659C2×C4—861no—
660C2×C4—861no—
661C2×C4—861no—
662C2×C4—862no—
663C2×C4—861no—
664C2×C4—861no—
665C2×C4—3444no—
666C2×C4—1724no—
667C2×C4—1728no—
668C2×C4—1724no—
669C2×C4—1728no—
670C2×C4—1721no—
671C2×C4—1721no—
672C2×C4—1721no—
673C2×C4—1721no—
674C2×C4—1721no—
675C2×C4—1721no—
676C2×C4—1721no—
677C2×C4—1721no—
678C2×C4#1306335712yes—
679C2×C4C2×D4×D4311yescharacteristic
680C2×C4C2×D4×D4311yescharacteristic
681C2×C4C2×Q8×D4311yescharacteristic
682C2×C4#41×D4311yescharacteristic
683C2×C4#41×D4311yescharacteristic
684C2×C4#41×D4311yescharacteristic
685C8—22no—
686C8—41no—
687C8—862no—
688C8—1721no—
689C22—434no—
690C22—862no—
691C22—862no—
692C22—862no—
693C22—862no—
694C22—862no—
695C22—862no—
696C22—3441no—
697C22—3441no—
698C22—3441no—
699C22—3441no—
700C22—1722no—
701C22—1722no—
702C22—1722no—
703C22#121×D4311yescharacteristic
704C22#121×D4311yescharacteristic
705C22C22⋊Q8×D4311yescharacteristic
706C22AGL(1,ℤ/8)×D4311yescharacteristic
707C22C2×#1306335711yescharacteristic
708C22#1458369611yescharacteristic
709C22#1458369811yescharacteristic
710C4—22no—
711C4—41no—
712C4—42no—
713C4—42no—
714C4—81no—
715C4—81no—
716C4—434no—
717C4—862no—
718C4—3441no—
719C4—3441no—
720C4—1721no—
721C4—1722no—
722C4#121×D4311yescharacteristic
723C4C22⋊Q8×D4311yescharacteristic
724C4C22⋊Q8×D4311yescharacteristic
725C4#126×D4311yescharacteristic
726C2—864no—
727C2—3442no—
728C2#396×D4311yescharacteristic
729C2#1914405711yescharacteristic
730C2#1914406811yescharacteristic
731C2#1914420911yescharacteristic
732C2#1914422211yescharacteristic
733C2#1914440911yescharacteristic
734C2#1914441411yescharacteristic
subgroupG/H
centerC23C2×D4×D43
commutator, cosocleC22×C4×C43C24
FrattiniC22×C4C23×D43
FittingC43×#2068C2
socleC23×C43C22×D4
prime radicalC22×#10621902C22
hypercenter#2068D43
hypocenterC43#23617
LCSG ▷ C22×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C23 ◁ C2×C42 ◁ #2068

Complements

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

NH ≅ G/Ntype
1. C2×#14582940C2semidirect
2. C2×#14582921C2semidirect
6. #389×D43C2semidirect
7. #19135990C2semidirect
8. #19135984C2semidirect
9. #19135978C2semidirect
10. #19135974C2semidirect
11. #19135972C2semidirect
12. #19135968C2semidirect
13. #19135966C2semidirect
14. #19134313C2semidirect
15. C43×#2068C2semidirect
366. #2068D43semidirect
430. C43#23617semidirect

Maximal subgroups

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

subgroupindex
C2×#145829402
C2×#145829212
C2×#145828992
#191370842
#389×D432
#191359902
#191359842
#191359782
#191359742
#191359722
#191359682
#191359662
#191343132
C43×#20682
#2361743