Finite Group Databasebeta

← D43×#2066 #25125191

Subgroups — D43×#2066 #25125191

Order 11008.

1206 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×#106×D43C211yesmaximal, characteristic
2C2×C4⋊C8×D43C211yesmaximal, characteristic
3C2×#103×D43C211yesmaximal, characteristic
4C2×#103×D43C211yesmaximal, characteristic
5#391×D43C211yesmaximal, characteristic
6#389×D43C211yesmaximal, characteristic
7#19135977C211yesmaximal, characteristic, complemented
8#19135976C211yesmaximal, characteristic, complemented
9#19135975C211yesmaximal, characteristic, complemented
10#19135974C211yesmaximal, characteristic, complemented
11#19135973C211yesmaximal, characteristic, complemented
12#19135972C211yesmaximal, characteristic, complemented
13#19135971C211yesmaximal, characteristic, complemented
14#340×D43C211yesmaximal, characteristic
15C43×#2066C211yesmaximal, characteristic, complemented
16C22×Q8×D43C2211yescharacteristic
17C22×C8×D43C2211yescharacteristic
18C22×C8×D43C2211yescharacteristic
19C2×C4⋊C4×D43—21no—
20C2×C4⋊C4×D43C2211yescharacteristic
21C2×C4⋊C4×D43C2211yescharacteristic
22C2×C4⋊C4×D43C2211yescharacteristic
23C2×C42×D43C2211yescharacteristic
24C2×#13063257C2211yescharacteristic
25C2×#13063256C2211yescharacteristic
26C2×#13063256C2211yescharacteristic
27#106×D43—24no—
28C2×C4⋊(C43⋊C8)C2211yescharacteristic
29C2×Dic43⋊C8C2211yescharacteristic
30C2×Dic43⋊C8C2211yescharacteristic
31C4⋊C8×D43—24no—
32C2×#13063250C2211yescharacteristic
33C2×#13063250C2211yescharacteristic
34C2×#13063249C2211yescharacteristic
35C2×#13063249C2211yescharacteristic
36C2×#13063248C2211yescharacteristic
37C2×#13063248C2211yescharacteristic
38#103×D43—24no—
39#103×D43—24no—
40#14582806C2211yescharacteristic
41#14582805C2211yescharacteristic
42#14582804C2211yescharacteristic
43#14582803—21no—
44#14582803—21no—
45#14582798C2211yescharacteristic
46#14582797C2211yescharacteristic
47#14582796—21no—
48#14582795C2211yescharacteristic
49#14582794—21no—
50#95×D43—21no—
51#95×D43—21no—
52#95×D43—21no—
53#14582662C2211yescharacteristic
54#14582661C2211yescharacteristic
55#14582661C2211yescharacteristic
56C2×#106×C43C2211yescharacteristic
57C2×C4⋊C8×C43C2211yescharacteristic
58C2×#103×C43C2211yescharacteristic
59C2×#103×C43C2211yescharacteristic
60C43×#391C2211yescharacteristic
61C43×#389C2211yescharacteristic
62C43×#340C2211yescharacteristic
63C22×Dic86—21no—
64C22×Dic86C2311yescharacteristic
65C2×Q8×D43—22no—
66C2×Q8×D43—22no—
67C2×Q8×D43—22no—
68C2×Q8×D43—22no—
69C2×Q8×D43—22no—
70C2×Q8×D43Q814yes—
71C22×C4×D43—21no—
72C22×C4×D43—21no—
73C22×C4×D43—21no—
74C22×C4×D43—21no—
75C22×C4×D43D411yescharacteristic
76C22×C4×D43D411yescharacteristic
77C22×C4×D43C2311yescharacteristic
78C22×C43⋊C8C2311yescharacteristic
79C22×C43⋊C8C2311yescharacteristic
80C2×C8×D43—22no—
81C2×C8×D43—22no—
82C2×C8×D43—22no—
83C2×C8×D43—22no—
84C2×C8×D43—22no—
85C2×C8×D43D414yes—
86C2×C4⋊Dic43—21no—
87C2×C4⋊Dic43C2311yescharacteristic
88C2×C4⋊Dic43C2311yescharacteristic
89C2×C4⋊Dic43C2311yescharacteristic
90C2×Dic43⋊C4—21no—
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—22no—
99C4⋊C4×D43—22no—
100C4⋊C4×D43—44no—
101C4⋊C4×D43D414yes—
102C2×C4×Dic43D411yescharacteristic
103C2×C4×Dic43D411yescharacteristic
104C2×C4×Dic43C2311yescharacteristic
105C42×D43—22no—
106C42×D43—22no—
107#13063257—22no—
108#13063256—22no—
109#13063256—22no—
110C4⋊(C43⋊C8)—22no—
111Dic43⋊C8—22no—
112Dic43⋊C8—22no—
113#13063250—22no—
114#13063250—22no—
115#13063249—22no—
116#13063249—22no—
117#13063248—22no—
118#13063248—22no—
119C43⋊#95—21no—
120C43⋊#95—21no—
121C43⋊#95—21no—
122C43⋊#95—21no—
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#106×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×D43C2×D411yescharacteristic
144C2×Q8×C43—21no—
145C2×Q8×C43—21no—
146C2×Q8×C43—21no—
147C2×Q8×C43—21no—
148C2×Q8×C43—21no—
149C2×Q8×C43C2×Q812yes—
150C22×C4×C43—21no—
151C22×C4×C43—21no—
152C22×C4×C43—21no—
153C22×C4×C43—21no—
154C22×C4×C43C2×D411yescharacteristic
155C22×C4×C43C2×D411yescharacteristic
156C22×C4×C43C2411yescharacteristic
157C22×Dic43—21no—
158C22×Dic43—21no—
159C22×Dic43—21no—
160C22×Dic43—21no—
161C22×Dic43C2×D411yescharacteristic
162C22×Dic43C2×D411yescharacteristic
163C22×Dic43C2×D411yescharacteristic
164Q8×D43—28no—
165Q8×D43—28no—
166Q8×D43—44no—
167Q8×D43—44no—
168C2×C4×D43—22no—
169C2×C4×D43—22no—
170C2×C4×D43—24no—
171C2×C4×D43—24no—
172C2×C4×D43—22no—
173C2×C4×D43—22no—
174C2×C4×D43—22no—
175C2×C4×D43—42no—
176C2×C4×D43—42no—
177C2×C4×D43—42no—
178C2×C4×D43—42no—
179C2×C4×D43—42no—
180C2×C4×D43—42no—
181C2×C4×D43—42no—
182C2×C4×D43—42no—
183C2×C4×D43—42no—
184C2×C4×D43—42no—
185C2×C4×D43SD1614yes—
186C2×C4×D43C2×D412yes—
187C2×C4×D43C2×D412yes—
188C2×C4×D43C2×Q812yes—
189C2×C4×D43#4112yes—
190C2×C4×D43#4112yes—
191C2×C4×D43#4112yes—
192C2×Dic86—21no—
193C2×Dic86—21no—
194C2×Dic86—21no—
195C2×Dic86—21no—
196C2×Dic86—21no—
197C2×Dic86—24no—
198C2×Dic86—42no—
199C2×Dic86—42no—
200C2×Dic86C2×Q812yes—
201C2×C8×C43—21no—
202C2×C8×C43—21no—
203C2×C8×C43—21no—
204C2×C8×C43—21no—
205C2×C8×C43—21no—
206C2×C8×C43C2×D412yes—
207C4⋊C4×C43—21no—
208C4⋊C4×C43—21no—
209C4⋊C4×C43—21no—
210C4⋊C4×C43—21no—
211C4⋊C4×C43—21no—
212C4⋊C4×C43—42no—
213C4⋊C4×C43C2×D412yes—
214C42×C43—21no—
215C42×C43—21no—
216C4⋊Dic43—21no—
217C4⋊Dic43—21no—
218C4⋊Dic43—21no—
219C4⋊Dic43—21no—
220C4⋊Dic43—21no—
221C4⋊Dic43—42no—
222C4⋊Dic43C2×D412yes—
223Dic43⋊C4—24no—
224Dic43⋊C4—42no—
225Dic43⋊C4—42no—
226Dic43⋊C4—42no—
227Dic43⋊C4—42no—
228C4×Dic43—21no—
229C4×Dic43—21no—
230C4×Dic43—22no—
231C4×Dic43—22no—
232C2×C43⋊C8—21no—
233C2×C43⋊C8—21no—
234C2×C43⋊C8—21no—
235C2×C43⋊C8—21no—
236C2×C43⋊C8—21no—
237C2×C43⋊C8C2×D412yes—
238C8×D43—28no—
239C8×D43—44no—
240C23×C43C22×D411yescharacteristic
241C22×D43#12112yes—
242C22×D43#12112yes—
243C22×D43C22⋊Q812yes—
244C22×D43C2×SD1612yes—
245C22×D43#13512yes—
246C22×D43#13712yes—
247C22×D43#13712yes—
248Q8×C43—22no—
249Q8×C43—22no—
250Q8×C43—41no—
251Q8×C43—41no—
252C2×C4×C43—21no—
253C2×C4×C43—21no—
254C2×C4×C43—21no—
255C2×C4×C43—22no—
256C2×C4×C43—22no—
257C2×C4×C43—21no—
258C2×C4×C43—21no—
259C2×C4×C43—41no—
260C2×C4×C43—41no—
261C2×C4×C43—41no—
262C2×C4×C43—41no—
263C2×C4×C43—41no—
264C2×C4×C43—41no—
265C2×C4×C43—41no—
266C2×C4×C43—41no—
267C2×C4×C43—41no—
268C2×C4×C43—41no—
269C2×C4×C43C2×SD1612yes—
270C2×C4×C43C22×D411yescharacteristic
271C2×C4×C43C22×D411yescharacteristic
272C2×C4×C43C22×Q811yescharacteristic
273C2×C4×C43C2×#4111yescharacteristic
274C2×C4×C43C2×#4111yescharacteristic
275C2×C4×C43C2×#4111yescharacteristic
276C2×Dic43—21no—
277C2×Dic43—21no—
278C2×Dic43—21no—
279C2×Dic43—22no—
280C2×Dic43—22no—
281C2×Dic43—21no—
282C2×Dic43—21no—
283C2×Dic43—41no—
284C2×Dic43—41no—
285C2×Dic43—41no—
286C2×Dic43—41no—
287C2×Dic43—41no—
288C2×Dic43—41no—
289C2×Dic43—41no—
290C2×Dic43—41no—
291C2×Dic43—41no—
292C2×Dic43—41no—
293C2×Dic43#12112yes—
294C2×Dic43#12112yes—
295C2×Dic43C22⋊Q812yes—
296C2×Dic43C2×SD1612yes—
297C4×D43—28no—
298C4×D43—48no—
299C4×D43—48no—
300C4×D43—44no—
301C4×D43—84no—
302C4×D43—84no—
303C4×D43#12114yes—
304C4×D43C22⋊Q814yes—
305C4×D43C22⋊Q814yes—
306C4×D43#12614yes—
307Dic86—22no—
308Dic86—22no—
309Dic86—41no—
310Dic86—41no—
311Dic86—48no—
312C8×C43—22no—
313C8×C43—41no—
314C43⋊C8—22no—
315C43⋊C8—41no—
316C2×#2066—431nomaximal, Sylow
317C22×C43C2×#12111yescharacteristic
318C22×C43C2×#12111yescharacteristic
319C22×C43C2×C22⋊Q811yescharacteristic
320C22×C43C22×SD1611yescharacteristic
321C22×C43C2×#13511yescharacteristic
322C22×C43C2×#13711yescharacteristic
323C22×C43C2×#13711yescharacteristic
324C2×D43#39614yes—
325C2×D43#46114yes—
326C2×D43#46414yes—
327C2×D43#46514yes—
328C2×D43#47014yes—
329C2×D43#47514yes—
330C2×D43#47914yes—
331C4×C43—22no—
332C4×C43—42no—
333C4×C43—42no—
334C4×C43—41no—
335C4×C43—81no—
336C4×C43—81no—
337C4×C43C2×#12111yescharacteristic
338C4×C43C2×C22⋊Q811yescharacteristic
339C4×C43C2×C22⋊Q811yescharacteristic
340C4×C43C2×#12611yescharacteristic
341Dic43—22no—
342Dic43—42no—
343Dic43—42no—
344Dic43—41no—
345Dic43—81no—
346Dic43—81no—
347Dic43#39614yes—
348C22×#106—431no—
349C22×C4⋊C8—431no—
350C22×#103—431no—
351C22×#103—431no—
352C2×#391—431no—
353C2×#389—431no—
354#2066—431no—
355#2066—431no—
356#2066—431no—
357#2066—431no—
358#2066—431no—
359#2066—431no—
360#2066—431no—
361#2066D4311yescharacteristic, direct product factor
362C2×#340—431no—
363C2×C43C2×#39611yescharacteristic
364C2×C43C2×#46111yescharacteristic
365C2×C43C2×#46411yescharacteristic
366C2×C43C2×#46511yescharacteristic
367C2×C43C2×#47011yescharacteristic
368C2×C43C2×#47511yescharacteristic
369C2×C43C2×#47911yescharacteristic
370D43#206618yesdirect product factor
371C23×Q8—431no—
372C23×C8—431no—
373C23×C8—431no—
374C22×C4⋊C4—431no—
375C22×C4⋊C4—431no—
376C22×C4⋊C4—431no—
377C22×C4⋊C4—861no—
378C22×C42—431no—
379C2×#106—431no—
380C2×#106—431no—
381C2×#106—431no—
382C2×#106—864no—
383C2×#106C2×D4311yescharacteristic
384C2×C4⋊C8—431no—
385C2×C4⋊C8—431no—
386C2×C4⋊C8—431no—
387C2×C4⋊C8—864no—
388C2×C4⋊C8C2×D4311yescharacteristic
389C2×#103—431no—
390C2×#103—431no—
391C2×#103—431no—
392C2×#103—431no—
393C2×#103—431no—
394C2×#103—431no—
395C2×#103—864no—
396C2×#103—864no—
397C2×#103C2×D4311yescharacteristic
398C2×#103C2×D4311yescharacteristic
399#391—431no—
400#391—431no—
401#391—431no—
402#391—861no—
403#391—861no—
404#391C2×D4311yescharacteristic
405#389—431no—
406#389—431no—
407#389—431no—
408#389—861no—
409#389—861no—
410#389C2×D4311yescharacteristic
411C2×#95—861no—
412C2×#95—861no—
413C2×#95—861no—
414#340—431no—
415#340—431no—
416#340—431no—
417#340C2×D4311yescharacteristic
418C43C2×#206611yescharacteristic, complemented, Sylow
419C22×Q8—434no—
420C22×Q8—431no—
421C22×Q8—861no—
422C22×Q8—862no—
423C22×Q8—862no—
424C22×Q8—862no—
425C22×Q8—862no—
426C22×Q8—862no—
427C22×Q8C22×D4311yescharacteristic
428C23×C4—431no—
429C23×C4—431no—
430C23×C4—431no—
431C23×C4—861no—
432C23×C4—861no—
433C23×C4—861no—
434C23×C4—861no—
435C22×C8—431no—
436C22×C8—434no—
437C22×C8—431no—
438C22×C8—862no—
439C22×C8—862no—
440C22×C8—862no—
441C22×C8—862no—
442C22×C8—862no—
443C22×C8C22×D4311yescharacteristic
444C22×C8C22×D4311yescharacteristic
445C2×C4⋊C4—21no—
446C2×C4⋊C4—431no—
447C2×C4⋊C4—434no—
448C2×C4⋊C4—431no—
449C2×C4⋊C4—431no—
450C2×C4⋊C4—862no—
451C2×C4⋊C4—862no—
452C2×C4⋊C4—862no—
453C2×C4⋊C4—862no—
454C2×C4⋊C4—862no—
455C2×C4⋊C4—861no—
456C2×C4⋊C4—861no—
457C2×C4⋊C4—861no—
458C2×C4⋊C4—861no—
459C2×C4⋊C4—861no—
460C2×C4⋊C4—861no—
461C2×C4⋊C4—1724no—
462C2×C4⋊C4C22×D4311yescharacteristic
463C2×C4⋊C4C22×D4311yescharacteristic
464C2×C4⋊C4C22×D4311yescharacteristic
465C2×C42—431no—
466C2×C42—431no—
467C2×C42—431no—
468C2×C42—862no—
469C2×C42—862no—
470C2×C42C22×D4311yescharacteristic
471#106—22no—
472#106—862no—
473#106—862no—
474#106—862no—
475C4⋊C8—22no—
476C4⋊C8—862no—
477C4⋊C8—862no—
478C4⋊C8—862no—
479#103—22no—
480#103—22no—
481#103—862no—
482#103—862no—
483#103—862no—
484#103—862no—
485#103—862no—
486#103—862no—
487#95—21no—
488#95—21no—
489#95—21no—
490#95—861no—
491#95—861no—
492#95—861no—
493#95—861no—
494#95—861no—
495#95—861no—
496#95—861no—
497#95—861no—
498#95—861no—
499C24—431no—
500C2×Q8—21no—
501C2×Q8—21no—
502C2×Q8—21no—
503C2×Q8—21no—
504C2×Q8—21no—
505C2×Q8—432no—
506C2×Q8—864no—
507C2×Q8—868no—
508C2×Q8—868no—
509C2×Q8—861no—
510C2×Q8—861no—
511C2×Q8—861no—
512C2×Q8—861no—
513C2×Q8—861no—
514C2×Q8—1722no—
515C2×Q8—1722no—
516C2×Q8—1724no—
517C2×Q8—1724no—
518C2×Q8Q8×D4312yes—
519C22×C4—21no—
520C22×C4—21no—
521C22×C4—21no—
522C22×C4—21no—
523C22×C4—431no—
524C22×C4—432no—
525C22×C4—432no—
526C22×C4—432no—
527C22×C4—432no—
528C22×C4—432no—
529C22×C4—432no—
530C22×C4—431no—
531C22×C4—434no—
532C22×C4—431no—
533C22×C4—862no—
534C22×C4—862no—
535C22×C4—862no—
536C22×C4—864no—
537C22×C4—862no—
538C22×C4—862no—
539C22×C4—864no—
540C22×C4—861no—
541C22×C4—861no—
542C22×C4—861no—
543C22×C4—861no—
544C22×C4—1722no—
545C22×C4—1722no—
546C22×C4—1722no—
547C22×C4—1722no—
548C22×C4—1722no—
549C22×C4—1722no—
550C22×C4—1722no—
551C22×C4—1722no—
552C22×C4—1722no—
553C22×C4—1722no—
554C22×C4D4×D4311yescharacteristic
555C22×C4D4×D4311yescharacteristic
556C22×C4C23×D4311yescharacteristic
557C2×C8—21no—
558C2×C8—21no—
559C2×C8—21no—
560C2×C8—21no—
561C2×C8—21no—
562C2×C8—432no—
563C2×C8—868no—
564C2×C8—861no—
565C2×C8—861no—
566C2×C8—861no—
567C2×C8—861no—
568C2×C8—861no—
569C2×C8—1724no—
570C2×C8D4×D4312yes—
571C4⋊C4—21no—
572C4⋊C4—21no—
573C4⋊C4—21no—
574C4⋊C4—21no—
575C4⋊C4—21no—
576C4⋊C4—42no—
577C4⋊C4—432no—
578C4⋊C4—864no—
579C4⋊C4—861no—
580C4⋊C4—861no—
581C4⋊C4—861no—
582C4⋊C4—861no—
583C4⋊C4—861no—
584C4⋊C4—1722no—
585C4⋊C4—1722no—
586C4⋊C4—1722no—
587C4⋊C4—1722no—
588C4⋊C4—1722no—
589C4⋊C4D4×D4312yes—
590C42—21no—
591C42—21no—
592C42—862no—
593C42—862no—
594C42—861no—
595C42—861no—
596C23—432no—
597C23—432no—
598C23—432no—
599C23—432no—
600C23—432no—
601C23—432no—
602C23—432no—
603C23C2×D4×D4311yescharacteristic
604Q8—22no—
605Q8—22no—
606Q8—41no—
607Q8—41no—
608Q8—862no—
609Q8—862no—
610Q8—1728no—
611Q8—1721no—
612Q8—1721no—
613C2×C4—21no—
614C2×C4—21no—
615C2×C4—21no—
616C2×C4—22no—
617C2×C4—22no—
618C2×C4—21no—
619C2×C4—21no—
620C2×C4—41no—
621C2×C4—41no—
622C2×C4—41no—
623C2×C4—41no—
624C2×C4—41no—
625C2×C4—41no—
626C2×C4—41no—
627C2×C4—41no—
628C2×C4—41no—
629C2×C4—41no—
630C2×C4—432no—
631C2×C4—432no—
632C2×C4—432no—
633C2×C4—434no—
634C2×C4—434no—
635C2×C4—434no—
636C2×C4—434no—
637C2×C4—432no—
638C2×C4—868no—
639C2×C4—861no—
640C2×C4—861no—
641C2×C4—861no—
642C2×C4—862no—
643C2×C4—862no—
644C2×C4—861no—
645C2×C4—861no—
646C2×C4—3444no—
647C2×C4—3444no—
648C2×C4—1724no—
649C2×C4—1728no—
650C2×C4—1728no—
651C2×C4—1721no—
652C2×C4—1721no—
653C2×C4—1721no—
654C2×C4—1721no—
655C2×C4—1721no—
656C2×C4—1721no—
657C2×C4—1721no—
658C2×C4—1721no—
659C2×C4—1721no—
660C2×C4—1721no—
661C2×C4SD16×D4312yes—
662C2×C4C2×D4×D4311yescharacteristic
663C2×C4C2×D4×D4311yescharacteristic
664C2×C4C2×Q8×D4311yescharacteristic
665C2×C4#41×D4311yescharacteristic
666C2×C4#41×D4311yescharacteristic
667C2×C4#41×D4311yescharacteristic
668C8—22no—
669C8—41no—
670C8—862no—
671C8—1721no—
672C22—434no—
673C22—434no—
674C22—434no—
675C22—434no—
676C22—434no—
677C22—434no—
678C22—434no—
679C22#121×D4311yescharacteristic
680C22#121×D4311yescharacteristic
681C22C22⋊Q8×D4311yescharacteristic
682C22C2×SD16×D4311yescharacteristic
683C22#135×D4311yescharacteristic
684C22#137×D4311yescharacteristic
685C22#137×D4311yescharacteristic
686C4—22no—
687C4—41no—
688C4—42no—
689C4—42no—
690C4—81no—
691C4—81no—
692C4—434no—
693C4—862no—
694C4—3441no—
695C4—3441no—
696C4—1721no—
697C4—1722no—
698C4—1722no—
699C4#121×D4311yescharacteristic
700C4C22⋊Q8×D4311yescharacteristic
701C4C22⋊Q8×D4311yescharacteristic
702C4#126×D4311yescharacteristic
703C2—438no—
704C2#396×D4311yescharacteristic
705C2#461×D4311yescharacteristic
706C2#464×D4311yescharacteristic
707C2#465×D4311yescharacteristic
708C2#470×D4311yescharacteristic
709C2#475×D4311yescharacteristic
710C2#479×D4311yescharacteristic
subgroupG/H
centerC23C2×D4×D43
commutator, cosocleC22×C4×C43C24
FrattiniC22×C4C23×D43
FittingC43×#2066C2
socleC23×C43C22×D4
prime radicalC23×D43C2×D4
hypercenter#2066D43
hypocenterC43C2×#2066
LCSG ▷ C22×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C23 ◁ C2×C42 ◁ #2066

Complements

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

NH ≅ G/Ntype
7. #19135977C2semidirect
8. #19135976C2semidirect
9. #19135975C2semidirect
10. #19135974C2semidirect
11. #19135973C2semidirect
12. #19135972C2semidirect
13. #19135971C2semidirect
15. C43×#2066C2semidirect
361. #2066D43direct (N × H)
370. D43#2066direct (N × H)
418. C43C2×#2066semidirect

Maximal subgroups

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

subgroupindex
C2×#106×D432
C2×C4⋊C8×D432
C2×#103×D432
#391×D432
#389×D432
#191359772
#191359762
#191359752
#191359742
#191359732
#191359722
#191359712
#340×D432
C43×#20662
C2×#206643