Finite Group Databasebeta

← #25138136

Subgroups — #25138136

Order 11008.

1050 conjugacy classes of subgroups.

The subgroup lattice has 738 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#14583112C211yesmaximal, characteristic
2C2×#14583102C211yesmaximal, characteristic, complemented
3C2×D8×Dic43C211yesmaximal, characteristic
4#19139588C211yesmaximal, characteristic, complemented
5D4×Dic43⋊C4C211yesmaximal, characteristic, complemented
6#19135989C211yesmaximal, characteristic, complemented
7#19135988C211yesmaximal, characteristic, complemented
8#19135834C211yesmaximal, characteristic, complemented
9#19135831C211yesmaximal, characteristic, complemented
10#19135395C211yesmaximal, characteristic, complemented
11#19135310C211yesmaximal, characteristic, complemented
12#19134931C211yesmaximal, characteristic, complemented
13#19134929C211yesmaximal, characteristic, complemented
14#19134593C211yesmaximal, characteristic, complemented
15C2×C43×#463C211yesmaximal, characteristic
16C22×#10621883C2211yescharacteristic
17C2×#13063323C2211yescharacteristic
18C2×#13063312C2211yescharacteristic
19C2×D4×Dic43C2211yescharacteristic
20C2×D4×Dic43C2211yescharacteristic
21C2×D4×Dic43C2211yescharacteristic
22C22×Dic43⋊C4—21no—
23#14583112—24no—
24#14583102—24no—
25D8×Dic43—24no—
26C2×#13063259C2211yescharacteristic
27C2×Dic43⋊C8C2211yescharacteristic
28C2×Dic43⋊C8C2211yescharacteristic
29C2×#13063250C2211yescharacteristic
30C2×#13063250C2211yescharacteristic
31C2×#13063249C2211yescharacteristic
32C2×#13063249C2211yescharacteristic
33C2×#13063248C2211yescharacteristic
34C2×#13063246C2211yescharacteristic
35C2×#13063246C2211yescharacteristic
36C2×#13063246C2211yescharacteristic
37C2×C8×Dic43C2211yescharacteristic
38#14582827—21no—
39#14582827—21no—
40#14582806C2211yescharacteristic
41#14582805C2211yescharacteristic
42#14582797C2211yescharacteristic
43#14582795C2211yescharacteristic
44#14582772—21no—
45#14582771—21no—
46#14582768C2211yescharacteristic
47#14582757—21no—
48#14582757—21no—
49#14582757—21no—
50C4×Dic43⋊C4C2211yescharacteristic
51#14582662C2211yescharacteristic
52#14582661C2211yescharacteristic
53#14582654C2211yescharacteristic
54#14582653C2211yescharacteristic
55C22×SD16×C43C2211yescharacteristic
56C22×D8×C43C2211yescharacteristic
57C2×#124×C43C2211yescharacteristic
58C2×C4×D4×C43C2211yescharacteristic
59C43×#463—24no—
60C2×C4⋊C8×C43C2211yescharacteristic
61C2×#103×C43C2211yescharacteristic
62C2×#102×C43C2211yescharacteristic
63C22×Dic86C2311yescharacteristic
64C23×Dic43—21no—
65C23×Dic43—21no—
66C23×Dic43—21no—
67C2×#10621883—22no—
68C2×#10621883—22no—
69C2×#10621883—22no—
70C22×C43⋊C8C2311yescharacteristic
71C22×C43⋊C8C2311yescharacteristic
72#13063323—22no—
73#13063323—22no—
74#13063312—22no—
75#13063312—41no—
76D4×Dic43—22no—
77D4×Dic43—22no—
78D4×Dic43—22no—
79D4×Dic43—22no—
80D4×Dic43—41no—
81D4×Dic43D414yes—
82C2×C4⋊Dic43C2311yescharacteristic
83C2×C4⋊Dic43C2311yescharacteristic
84C2×C4⋊Dic43C2311yescharacteristic
85C2×Dic43⋊C4—21no—
86C2×Dic43⋊C4—21no—
87C2×Dic43⋊C4—21no—
88C2×Dic43⋊C4—21no—
89C2×Dic43⋊C4—21no—
90C2×Dic43⋊C4—21no—
91C2×Dic43⋊C4—44no—
92C2×Dic43⋊C4D411yescharacteristic
93C2×Dic43⋊C4D411yescharacteristic
94C2×C22⋊Dic43—21no—
95C2×C22⋊Dic43—21no—
96C2×C22⋊Dic43—21no—
97C2×C22⋊Dic43—21no—
98C2×C22⋊Dic43—21no—
99C2×C4×Dic43C2311yescharacteristic
100C2×C4×Dic43C2311yescharacteristic
101#13063259—22no—
102Dic43⋊C8—22no—
103Dic43⋊C8—22no—
104#13063250—22no—
105#13063250—22no—
106#13063249—22no—
107#13063249—41no—
108#13063248—41no—
109#13063246—22no—
110#13063246—22no—
111#13063246—22no—
112C8×Dic43—22no—
113C43⋊#95—21no—
114C43⋊#95—21no—
115C43⋊#95—21no—
116C43⋊#95—21no—
117C43⋊#95—21no—
118C43⋊#95—21no—
119C43⋊#95D411yescharacteristic
120C43⋊#95D411yescharacteristic
121C22×Q8×C43C2311yescharacteristic
122C22×D4×C43C2311yescharacteristic
123C22×D4×C43C2311yescharacteristic
124C23×C4×C43—21no—
125C2×SD16×C43—22no—
126C2×SD16×C43—22no—
127C2×SD16×C43—22no—
128C2×D8×C43—22no—
129C2×D8×C43—22no—
130C2×D8×C43D414yes—
131C22×C8×C43C2311yescharacteristic
132C22×C8×C43C2311yescharacteristic
133#124×C43—22no—
134#124×C43—41no—
135C4×D4×C43—22no—
136C4×D4×C43—41no—
137C2×C4⋊C4×C43C2311yescharacteristic
138C2×C22⋊C4×C43—21no—
139C2×C22⋊C4×C43—21no—
140C2×C22⋊C4×C43—21no—
141C2×C42×C43C2311yescharacteristic
142C4⋊C8×C43—22no—
143#103×C43—22no—
144#102×C43—22no—
145C24×C43—21no—
146C24×C43—21no—
147C2×Q8×C43—21no—
148C2×Q8×C43—21no—
149C2×Q8×C43—21no—
150C2×Q8×C43—21no—
151C2×Q8×C43—21no—
152C2×Q8×C43—21no—
153C2×D4×C43—21no—
154C2×D4×C43—21no—
155C2×D4×C43—21no—
156C2×D4×C43—21no—
157C2×D4×C43—21no—
158C2×D4×C43—21no—
159C2×D4×C43—21no—
160C2×D4×C43—21no—
161C2×D4×C43C2×D412yes—
162C2×D4×C43C2×D412yes—
163C2×D4×C43C2×D412yes—
164C2×D4×C43#4112yes—
165C22×C4×C43—21no—
166C22×C4×C43—21no—
167C22×C4×C43—42no—
168C22×C4×C43—42no—
169C22×C4×C43—81no—
170C22×C4×C43C2×D411yescharacteristic
171C22×C4×C43C2×D411yescharacteristic
172C22×C4×C43C2411yescharacteristic
173C22×Dic43—24no—
174C22×Dic43—21no—
175C22×Dic43—21no—
176C22×Dic43—21no—
177C22×Dic43—21no—
178C22×Dic43—42no—
179C22×Dic43—42no—
180C22×Dic43—42no—
181C22×Dic43—42no—
182C22×Dic43—42no—
183C22×Dic43—42no—
184C22×Dic43—42no—
185C22×Dic43—81no—
186C22×Dic43C2×D411yescharacteristic
187C22×Dic43C2×D411yescharacteristic
188C22×Dic43C2×D411yescharacteristic
189C22×Dic43C2×D411yescharacteristic
190C2×Dic86—21no—
191C2×Dic86—21no—
192C2×Dic86—21no—
193C2×Dic86—21no—
194C2×Dic86—21no—
195C2×Dic86—21no—
196SD16×C43—44no—
197D8×C43—28no—
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—
206C22⋊C4×C43—42no—
207C22⋊C4×C43—42no—
208C22⋊C4×C43—42no—
209C42×C43—21no—
210C42×C43—21no—
211C22⋊Dic43—24no—
212C22⋊Dic43—42no—
213C22⋊Dic43—42no—
214C22⋊Dic43—42no—
215C22⋊Dic43—42no—
216#10621883—44no—
217C4⋊Dic43—21no—
218C4⋊Dic43—21no—
219C4⋊Dic43—21no—
220C4⋊Dic43—21no—
221C4⋊Dic43—21no—
222C4⋊Dic43C2×D412yes—
223Dic43⋊C4—22no—
224Dic43⋊C4—22no—
225Dic43⋊C4—42no—
226Dic43⋊C4—42no—
227Dic43⋊C4—42no—
228Dic43⋊C4—42no—
229Dic43⋊C4—42no—
230Dic43⋊C4—81no—
231C4×Dic43—21no—
232C4×Dic43—21no—
233C4×Dic43C2×D412yes—
234C4×Dic43#4112yes—
235C2×C43⋊C8—21no—
236C2×C43⋊C8—21no—
237C2×C43⋊C8—21no—
238C2×C43⋊C8—21no—
239C2×C43⋊C8—21no—
240C2×C43⋊C8—21no—
241C23×C43—22no—
242C23×C43—22no—
243C23×C43—22no—
244C23×C43—22no—
245C23×C43—41no—
246C23×C43—41no—
247C23×C43—41no—
248C23×C43—41no—
249C23×C43—41no—
250C23×C43—41no—
251C23×C43—41no—
252C23×C43—41no—
253C23×C43—41no—
254C23×C43—41no—
255C23×C43C22×D411yescharacteristic
256Q8×C43—41no—
257Q8×C43—41no—
258Q8×C43—41no—
259Q8×C43—41no—
260D4×C43—22no—
261D4×C43—22no—
262D4×C43—22no—
263D4×C43—22no—
264D4×C43—22no—
265D4×C43—41no—
266D4×C43—41no—
267D4×C43#12114yes—
268C2×C4×C43—21no—
269C2×C4×C43—21no—
270C2×C4×C43—21no—
271C2×C4×C43—21no—
272C2×C4×C43—21no—
273C2×C4×C43—21no—
274C2×C4×C43—41no—
275C2×C4×C43—41no—
276C2×C4×C43—41no—
277C2×C4×C43—41no—
278C2×C4×C43—41no—
279C2×C4×C43—41no—
280C2×C4×C43—84no—
281C2×C4×C43C22×D411yescharacteristic
282C2×C4×C43C22×D411yescharacteristic
283C2×C4×C43C2×#4111yescharacteristic
284C2×C4×C43C2×#4111yescharacteristic
285C2×C4×C43H(5,𝔽2)11yescharacteristic
286C2×C4×C432−1+411yescharacteristic
287C2×Dic43—21no—
288C2×Dic43—21no—
289C2×Dic43—22no—
290C2×Dic43—21no—
291C2×Dic43—21no—
292C2×Dic43—21no—
293C2×Dic43—21no—
294C2×Dic43—21no—
295C2×Dic43—21no—
296C2×Dic43—41no—
297C2×Dic43—41no—
298C2×Dic43—48no—
299C2×Dic43—41no—
300C2×Dic43—41no—
301C2×Dic43—41no—
302C2×Dic43—41no—
303C2×Dic43—41no—
304C2×Dic43—41no—
305C2×Dic43—41no—
306C2×Dic43—41no—
307C2×Dic43—41no—
308C2×Dic43—84no—
309C2×Dic43—84no—
310C2×Dic43#12112yes—
311C2×Dic43#12112yes—
312C2×Dic43#13512yes—
313C2×Dic43AGL(1,ℤ/8)12yes—
314Dic86—41no—
315Dic86—41no—
316Dic86—41no—
317Dic86—41no—
318C8×C43—22no—
319C8×C43—41no—
320C43⋊C8—41no—
321C43⋊C8—41no—
322#24727—431nomaximal, Sylow
323C22×C43—24no—
324C22×C43—42no—
325C22×C43—42no—
326C22×C43—42no—
327C22×C43—42no—
328C22×C43—42no—
329C22×C43—42no—
330C22×C43—42no—
331C22×C43—42no—
332C22×C43—42no—
333C22×C43—81no—
334C22×C43—81no—
335C22×C43—81no—
336C22×C43—81no—
337C22×C43C2×#12111yescharacteristic
338C22×C43D4211yescharacteristic
339C22×C43#54811yescharacteristic
340C22×C43C2×#13511yescharacteristic
341C22×C43C2×AGL(1,ℤ/8)11yescharacteristic
342C22×C43#57711yescharacteristic
343C22×C43#57811yescharacteristic
344C4×C43—41no—
345C4×C43—41no—
346C4×C43—81no—
347C4×C43—81no—
348C4×C43C2×#12111yescharacteristic
349C4×C43#53711yescharacteristic
350C4×C43#54711yescharacteristic
351C4×C43#55311yescharacteristic
352Dic43—22no—
353Dic43—41no—
354Dic43—41no—
355Dic43—42no—
356Dic43—81no—
357Dic43—81no—
358Dic43—81no—
359Dic43#46314yescomplemented
360C2×#463—431no—
361C2×#463D4311yescharacteristic
362C2×#461—431no—
363C2×C4×D8—431no—
364#2547—431no—
365D4×C4⋊C4—431no—
366#2068—431no—
367#2068—431no—
368#2042—431no—
369#2042—431no—
370#1956—431no—
371#1939—431no—
372#1877—431no—
373#1877—431no—
374#1802—431no—
375C2×C43—44no—
376C2×C43—82no—
377C2×C43#241611yescharacteristic
378C2×C43C2×#46311yescharacteristic
379C2×C43#304611yescharacteristic
380C2×C43#327211yescharacteristic
381C2×C43#328311yescharacteristic
382C2×C43#336011yescharacteristic
383C2×C43#336711yescharacteristic
384C22×SD16—431no—
385C22×SD16C2×D4311yescharacteristic
386C22×D8C2×D4311yescharacteristic
387C2×C4⋊Q8—431no—
388C2×#124—431no—
389C2×#124C2×D4311yescharacteristic
390C2×C4×D4—431no—
391C2×C4×D4—431no—
392C2×C4×D4—431no—
393C2×C4×D4C2×D4311yescharacteristic
394C22×C4⋊C4—861no—
395#463—24no—
396#463—864no—
397#461—864no—
398C4×D8—864no—
399C2×#107—431no—
400C2×C4⋊C8—431no—
401C2×C4⋊C8—431no—
402C2×C4⋊C8C2×D4311yescharacteristic
403C2×#103—431no—
404C2×#103—431no—
405C2×#103—431no—
406C2×#103—431no—
407C2×#103—431no—
408C2×#103C2×D4311yescharacteristic
409C2×#102—431no—
410C2×#102—431no—
411C2×#102—431no—
412C2×#102C2×D4311yescharacteristic
413C2×C4×C8—431no—
414#397—861no—
415#397—861no—
416#391—431no—
417#391—431no—
418#389—431no—
419#389—431no—
420#385—861no—
421#385—861no—
422#384—431no—
423#380—861no—
424#380—861no—
425#380—861no—
426C4×C4⋊C4—431no—
427#340—431no—
428#340—431no—
429#336—431no—
430#336—431no—
431C43#2472711yescharacteristic, complemented, Sylow
432C22×Q8—431no—
433C22×Q8C22×D4311yescharacteristic
434C22×D4C22×D4311yescharacteristic
435C22×D4C22×D4311yescharacteristic
436C23×C4—21no—
437C23×C4—861no—
438C23×C4—861no—
439C23×C4—861no—
440C2×SD16—22no—
441C2×SD16—22no—
442C2×SD16—22no—
443C2×SD16—862no—
444C2×SD16—862no—
445C2×SD16—862no—
446C2×D8—22no—
447C2×D8—22no—
448C2×D8C22⋊D4314yes—
449C22×C8—431no—
450C22×C8—431no—
451C22×C8C22×D4311yescharacteristic
452C22×C8C22×D4311yescharacteristic
453C4⋊Q8—862no—
454C4⋊Q8—862no—
455#124—22no—
456#124—41no—
457#124—862no—
458#124—1721no—
459C4×D4—22no—
460C4×D4—41no—
461C4×D4—434no—
462C4×D4—862no—
463C4×D4—862no—
464C4×D4—862no—
465C4×D4—862no—
466C4×D4—1721no—
467C2×C4⋊C4—431no—
468C2×C4⋊C4—431no—
469C2×C4⋊C4—431no—
470C2×C4⋊C4—431no—
471C2×C4⋊C4—431no—
472C2×C4⋊C4—861no—
473C2×C4⋊C4—861no—
474C2×C4⋊C4—861no—
475C2×C4⋊C4—861no—
476C2×C4⋊C4—861no—
477C2×C4⋊C4—861no—
478C2×C4⋊C4—1724no—
479C2×C4⋊C4C22×D4311yescharacteristic
480C2×C22⋊C4—21no—
481C2×C22⋊C4—21no—
482C2×C22⋊C4—21no—
483C2×C22⋊C4—861no—
484C2×C22⋊C4—861no—
485C2×C22⋊C4—861no—
486C2×C22⋊C4—861no—
487C2×C22⋊C4—861no—
488C2×C42—431no—
489C2×C42—431no—
490C2×C42C22×D4311yescharacteristic
491#107—862no—
492C4⋊C8—22no—
493C4⋊C8—862no—
494C4⋊C8—862no—
495#103—22no—
496#103—862no—
497#103—862no—
498#103—862no—
499#103—1721no—
500#103—1721no—
501#102—22no—
502#102—862no—
503#102—862no—
504#102—862no—
505C4×C8—862no—
506#95—431no—
507#95—431no—
508#95—861no—
509#95—861no—
510#95—861no—
511#95—861no—
512#95—861no—
513#95—861no—
514C24—21no—
515C24—21no—
516C2×Q8—21no—
517C2×Q8—21no—
518C2×Q8—21no—
519C2×Q8—21no—
520C2×Q8—21no—
521C2×Q8—21no—
522C2×Q8—861no—
523C2×Q8—861no—
524C2×Q8—861no—
525C2×Q8—861no—
526C2×Q8—861no—
527C2×Q8—861no—
528C2×D4—21no—
529C2×D4—21no—
530C2×D4—21no—
531C2×D4—21no—
532C2×D4—21no—
533C2×D4—21no—
534C2×D4—21no—
535C2×D4—21no—
536C2×D4D4×D4312yes—
537C2×D4#1062190012yes—
538C2×D4C2×C22⋊D4312yes—
539C2×D4C2×C22⋊D4312yes—
540C22×C4—21no—
541C22×C4—21no—
542C22×C4—42no—
543C22×C4—42no—
544C22×C4—81no—
545C22×C4—431no—
546C22×C4—431no—
547C22×C4—431no—
548C22×C4—431no—
549C22×C4—864no—
550C22×C4—861no—
551C22×C4—861no—
552C22×C4—861no—
553C22×C4—861no—
554C22×C4—3441no—
555C22×C4—1722no—
556C22×C4—1722no—
557C22×C4—1722no—
558C22×C4—1722no—
559C22×C4—1722no—
560C22×C4—1722no—
561C22×C4—1722no—
562C22×C4D4×D4311yescharacteristic
563C22×C4D4×D4311yescharacteristic
564C22×C4C23×D4311yescharacteristic
565SD16—44no—
566SD16—1724no—
567D8—28no—
568C2×C8—21no—
569C2×C8—21no—
570C2×C8—21no—
571C2×C8—21no—
572C2×C8—21no—
573C2×C8—861no—
574C2×C8—861no—
575C2×C8—861no—
576C2×C8—861no—
577C2×C8—861no—
578C2×C8—861no—
579C2×C8C2×C22⋊D4312yes—
580C4⋊C4—21no—
581C4⋊C4—21no—
582C4⋊C4—432no—
583C4⋊C4—862no—
584C4⋊C4—862no—
585C4⋊C4—861no—
586C4⋊C4—861no—
587C4⋊C4—861no—
588C4⋊C4—861no—
589C4⋊C4—861no—
590C4⋊C4—3441no—
591C4⋊C4—1722no—
592C4⋊C4—1722no—
593C4⋊C4—1722no—
594C4⋊C4—1722no—
595C4⋊C4—1722no—
596C22⋊C4—42no—
597C22⋊C4—42no—
598C22⋊C4—42no—
599C22⋊C4—864no—
600C22⋊C4—1722no—
601C22⋊C4—1722no—
602C22⋊C4—1722no—
603C22⋊C4—1722no—
604C42—21no—
605C42—21no—
606C42—432no—
607C42—432no—
608C42—861no—
609C42—861no—
610C23—22no—
611C23—22no—
612C23—22no—
613C23—22no—
614C23—41no—
615C23—41no—
616C23—41no—
617C23—41no—
618C23—41no—
619C23—41no—
620C23—41no—
621C23—41no—
622C23—41no—
623C23—41no—
624C23C2×D4×D4311yescharacteristic
625Q8—41no—
626Q8—41no—
627Q8—41no—
628Q8—41no—
629Q8—1721no—
630Q8—1721no—
631Q8—1721no—
632Q8—1721no—
633D4—22no—
634D4—22no—
635D4—22no—
636D4—22no—
637D4—22no—
638D4—41no—
639D4—41no—
640D4#1306329714yes—
641C2×C4—21no—
642C2×C4—21no—
643C2×C4—21no—
644C2×C4—21no—
645C2×C4—21no—
646C2×C4—21no—
647C2×C4—41no—
648C2×C4—41no—
649C2×C4—41no—
650C2×C4—41no—
651C2×C4—41no—
652C2×C4—41no—
653C2×C4—84no—
654C2×C4—432no—
655C2×C4—432no—
656C2×C4—432no—
657C2×C4—432no—
658C2×C4—861no—
659C2×C4—861no—
660C2×C4—862no—
661C2×C4—861no—
662C2×C4—861no—
663C2×C4—861no—
664C2×C4—861no—
665C2×C4—861no—
666C2×C4—861no—
667C2×C4—3444no—
668C2×C4—3444no—
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—1721no—
679C2×C4—1721no—
680C2×C4—1721no—
681C2×C4C2×D4×D4311yescharacteristic
682C2×C4C22×C22⋊D4311yescharacteristic
683C2×C4#41×D4311yescharacteristic
684C2×C4C2×#1062190011yescharacteristic
685C2×C4#1306337011yescharacteristic
686C2×C4#1306337211yescharacteristic
687C8—22no—
688C8—41no—
689C8—1721no—
690C8—1721no—
691C22—24no—
692C22—42no—
693C22—42no—
694C22—42no—
695C22—42no—
696C22—42no—
697C22—42no—
698C22—42no—
699C22—42no—
700C22—42no—
701C22—81no—
702C22—81no—
703C22—81no—
704C22—81no—
705C22#121×D4311yescharacteristic
706C22D4×C22⋊D4311yescharacteristic
707C22#1458355511yescharacteristic
708C22#135×D4311yescharacteristic
709C22AGL(1,ℤ/8)×D4311yescharacteristic
710C22#1458370911yescharacteristic
711C22#1458371311yescharacteristic
712C4—41no—
713C4—41no—
714C4—81no—
715C4—81no—
716C4—434no—
717C4—862no—
718C4—3441no—
719C4—3441no—
720C4—3441no—
721C4—1721no—
722C4—1722no—
723C4—1721no—
724C4C2×#1306329711yescharacteristic
725C4#1458347611yescharacteristic
726C4#1458354811yescharacteristic
727C4#1458359211yescharacteristic
728C2—44no—
729C2—82no—
730C2#1913803211yescharacteristic
731C2#463×D4311yescharacteristic
732C2#1914414611yescharacteristic
733C2#1914618911yescharacteristic
734C2#1914631111yescharacteristic
735C2#1914723911yescharacteristic
736C2#1914730811yescharacteristic
subgroupG/H
centerC23C2×D4×D43
commutator, cosocleC22×C4×C43C24
FrattiniC22×C4C23×D43
FittingC2×C43×#463C2
socleC23×C43C22×D4
prime radicalC22×D8×C43C22
hypercenterC2×#463D43
hypocenterC43#24727
LCSG ▷ C22×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C23 ◁ C2×C42 ◁ C2×#463

Complements

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

NH ≅ G/Ntype
2. C2×#14583102C2semidirect
4. #19139588C2semidirect
5. D4×Dic43⋊C4C2semidirect
6. #19135989C2semidirect
7. #19135988C2semidirect
8. #19135834C2semidirect
9. #19135831C2semidirect
10. #19135395C2semidirect
11. #19135310C2semidirect
12. #19134931C2semidirect
13. #19134929C2semidirect
14. #19134593C2semidirect
359. Dic43#463semidirect
431. C43#24727semidirect

Maximal subgroups

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

subgroupindex
C2×#145831122
C2×#145831022
C2×D8×Dic432
#191395882
D4×Dic43⋊C42
#191359892
#191359882
#191358342
#191358312
#191353952
#191353102
#191349312
#191349292
#191345932
C2×C43×#4632
#2472743