Finite Group Databasebeta

← D43×#3189 #25967137

Subgroups — D43×#3189 #25967137

Order 11008.

2354 conjugacy classes of subgroups.

The subgroup lattice has 682 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C22⋊Q8×D43C212yesmaximal
2#19145370C211yesmaximal, characteristic, complemented
3#19145369C214yesmaximal, complemented
4#19145368C214yesmaximal, complemented
5#19145367C212yesmaximal, complemented
6#19145366C214yesmaximal, complemented
7#484×D43C214yesmaximal, complemented
8#467×D43C214yesmaximal, complemented
9#451×D43C214yesmaximal, complemented
10C2×C22⋊C8×D43C211yesmaximal, characteristic
11C43×#3189C211yesmaximal, characteristic, complemented
12C22×Q8×D43C2212yes—
13C23×C4×D43C2211yescharacteristic
14C2×Q16×D43C2214yescomplemented
15C22×C8×D43C2212yes—
16C2×#13063305C2212yes—
17C2×#13063304C2212yes—
18C2×#13063303—22no—
19C2×#13063302—22no—
20C2×#13063301C2212yes—
21C22⋊Q8×D43—22no—
22C22⋊Q8×D43—22no—
23C22⋊Q8×D43—22no—
24C22⋊Q8×D43—22no—
25C22⋊Q8×D43C2214yes—
26C22⋊Q8×D43C2214yes—
27C22⋊Q8×D43C2214yes—
28C22⋊Q8×D43C2214yes—
29C2×C4⋊C4×D43—22no—
30C2×C4⋊C4×D43C2212yes—
31C2×C22⋊C4×D43—22no—
32#14583236C2218yescomplemented
33#14583235C2214yescomplemented
34#14583234C2214yescomplemented
35#14583233C2218yescomplemented
36#14583232C2214yescomplemented
37#14583141C2214yescomplemented
38#14583140C2214yescomplemented
39#14583139C2218yescomplemented
40#14583138C2218yescomplemented
41#14583137C2214yescomplemented
42#14583057C2214yescomplemented
43#14583056C2218yescomplemented
44#14583055C2214yescomplemented
45#14583054C2214yescomplemented
46#14583053C2218yescomplemented
47#107×D43C2214yescomplemented
48#103×D43C2218yescomplemented
49C2×C22⋊(C43⋊C8)C2211yescharacteristic
50C2×(C2×D43)⋊C8C2212yes—
51C22⋊C8×D43C2214yes—
52C22⋊C8×D43C2214yes—
53C2×C22⋊Q8×C43C2212yes—
54C43×#484C2214yescomplemented
55C43×#467C2214yescomplemented
56C43×#451C2214yescomplemented
57C2×C22⋊C8×C43C2211yescharacteristic
58C24×D43D411yescharacteristic
59C22×Dic86—22no—
60C22×Dic86C2312yes—
61C2×Q8×D43—22no—
62C2×Q8×D43—22no—
63C2×Q8×D43—48no—
64C2×Q8×D43C2314yes—
65C2×Q8×D43C2314yes—
66C23×Dic43D411yescharacteristic
67C22×C4×D43—22no—
68C22×C4×D43—22no—
69C22×C4×D43—44no—
70C22×C4×D43D412yes—
71C22×C4×D43D411yescharacteristic
72C22×C4×D43D411yescharacteristic
73C22×C4×D43D412yes—
74C22×C4×D43C2312yes—
75C22×C4×D43C2311yescharacteristic
76C22×C4×D43C2312yes—
77C22×C4×D43C2311yescharacteristic
78C2×Dic172C2314yescomplemented
79C2×#10621885C2318yescomplemented
80Q16×D43—48no—
81C22×C43⋊C8C2312yes—
82C2×C8×D43—44no—
83C2×C8×D43C2314yes—
84C2×C8×D43C2314yes—
85#13063305—22no—
86#13063305—22no—
87#13063305C2314yes—
88#13063305C2314yes—
89#13063304—22no—
90#13063304—22no—
91#13063304C2314yes—
92#13063304C2314yes—
93#13063303—24no—
94#13063303—24no—
95#13063303—24no—
96#13063303—24no—
97#13063302—24no—
98#13063302—24no—
99#13063302—24no—
100#13063302—24no—
101#13063301—22no—
102#13063301—22no—
103#13063301C2314yes—
104#13063301C2314yes—
105C2×C4⋊Dic43—22no—
106C2×C4⋊Dic43C2312yes—
107C2×Dic43⋊C4—22no—
108C2×Dic43⋊C4—22no—
109C2×Dic43⋊C4—22no—
110C4⋊C4×D43—24no—
111C4⋊C4×D43—24no—
112C4⋊C4×D43—24no—
113C4⋊C4×D43—24no—
114C4⋊C4×D43—22no—
115C4⋊C4×D43—22no—
116C4⋊C4×D43C2314yes—
117C4⋊C4×D43C2314yes—
118C2×C22⋊Dic43—22no—
119C2×(C2×D43)⋊C4—22no—
120C2×(C2×D43)⋊C4—22no—
121C22⋊C4×D43—24no—
122C22⋊C4×D43—24no—
123C22⋊C4×D43—24no—
124C22⋊C4×D43—24no—
125#13063259C2314yescomplemented
126#13063258C2318yescomplemented
127#13063250C2318yescomplemented
128#13063249C2318yescomplemented
129#13063248C2318yescomplemented
130C22⋊(C43⋊C8)C2314yes—
131(C2×D43)⋊C8C2318yes—
132C22×Q8×C43C2312yes—
133C23×C4×C43C2311yescharacteristic
134C2×Q16×C43C2314yescomplemented
135C22×C8×C43C2312yes—
136C22⋊Q8×C43—22no—
137C22⋊Q8×C43—22no—
138C22⋊Q8×C43C2314yes—
139C22⋊Q8×C43C2314yes—
140C2×C4⋊C4×C43—22no—
141C2×C4⋊C4×C43C2312yes—
142C2×C22⋊C4×C43—22no—
143#107×C43C2314yescomplemented
144#103×C43C2318yescomplemented
145C22⋊C8×C43C2314yes—
146C24×C43C2×D411yescharacteristic
147C23×D43—42no—
148C23×D43—42no—
149C23×D43Q1618yescomplemented
150C23×D43C2×D411yescharacteristic
151C23×D43C2×D412yes—
152C23×D43C2×D411yescharacteristic
153C23×D43C2×D412yes—
154C2×Q8×C43—22no—
155C2×Q8×C43—44no—
156C2×Q8×C43C2414yes—
157C22×C4×C43—22no—
158C22×C4×C43—22no—
159C22×C4×C43—42no—
160C22×C4×C43C2×D412yes—
161C22×C4×C43C2×D411yescharacteristic
162C22×C4×C43C2412yes—
163C22×C4×C43C2411yescharacteristic
164C22×Dic43—22no—
165C22×Dic43—22no—
166C22×Dic43—42no—
167C22×Dic43C2×D412yes—
168C22×Dic43C2×D411yescharacteristic
169C22×Dic43C2×D412yes—
170C22×Dic43C2×D411yescharacteristic
171Q8×D43—216no—
172Q8×D43—48no—
173Q8×D43—48no—
174Q8×D43—48no—
175C2×C4×D43—24no—
176C2×C4×D43—28no—
177C2×C4×D43—24no—
178C2×C4×D43—24no—
179C2×C4×D43—24no—
180C2×C4×D43—24no—
181C2×C4×D43—44no—
182C2×C4×D43—42no—
183C2×C4×D43—48no—
184C2×C4×D43—48no—
185C2×C4×D43—44no—
186C2×C4×D43—42no—
187C2×C4×D43—44no—
188C2×C4×D43—42no—
189C2×C4×D43C2×D411yescharacteristic
190C2×C4×D43C2×D412yes—
191C2×C4×D43C2×D412yes—
192C2×C4×D43C2×D411yescharacteristic
193C2×C4×D43C2×D412yes—
194C2×C4×D43C2×D412yes—
195C2×C4×D43C2×D412yes—
196C2×C4×D43C2412yes—
197C2×C4×D43C2411yescharacteristic
198C2×C4×D43C2411yescharacteristic
199C2×Dic86—22no—
200C2×Dic86—24no—
201C2×Dic86—24no—
202C2×Dic86—44no—
203C2×Dic86—48no—
204C2×Dic86C2414yes—
205Q16×C43—44no—
206C2×C8×C43—42no—
207C2×C8×C43C2414yes—
208C4⋊C4×C43—24no—
209C4⋊C4×C43—24no—
210C4⋊C4×C43—22no—
211C4⋊C4×C43C2414yes—
212C22⋊C4×C43—24no—
213C22⋊C4×C43—24no—
214C22⋊Dic43—24no—
215C22⋊Dic43—24no—
216#10621885—48no—
217(C2×D43)⋊C4—24no—
218(C2×D43)⋊C4—24no—
219(C2×D43)⋊C4—24no—
220(C2×D43)⋊C4—24no—
221C4⋊Dic43—22no—
222C4⋊Dic43—24no—
223C4⋊Dic43—24no—
224C4⋊Dic43C2414yes—
225Dic43⋊C4—24no—
226Dic43⋊C4—24no—
227Dic43⋊C4—24no—
228Dic43⋊C4—24no—
229Dic43⋊C4—24no—
230Dic43⋊C4—24no—
231C2×C43⋊C8—42no—
232C2×C43⋊C8C2414yes—
233Dic172—44no—
234C8×D43—28no—
235C8×D43—44no—
236C23×C43—41no—
237C23×C43—41no—
238C23×C43C2×Q1614yescomplemented
239C23×C43C22×D411yescharacteristic
240C23×C43C22×D412yes—
241C22×D43—24no—
242C22×D43—22no—
243C22×D43—24no—
244C22×D43—22no—
245C22×D43—416no—
246C22×D43—42no—
247C22×D43—41no—
248C22×D43—42no—
249C22×D43—41no—
250C22×D43C2×Q1614yes—
251C22×D43C2×Q1618yes—
252C22×D43C2×Q1614yescomplemented
253C22×D43C2×Q1618yescomplemented
254C22×D43C22×D411yescharacteristic
255C22×D43C22×D412yes—
256C22×D43C22×D411yescharacteristic
257Q8×C43—28no—
258Q8×C43—44no—
259C2×C4×C43—22no—
260C2×C4×C43—24no—
261C2×C4×C43—24no—
262C2×C4×C43—24no—
263C2×C4×C43—41no—
264C2×C4×C43—42no—
265C2×C4×C43—44no—
266C2×C4×C43—44no—
267C2×C4×C43C22×D411yescharacteristic
268C2×C4×C43C22×D412yes—
269C2×C4×C43C2511yescharacteristic
270C2×Dic43—24no—
271C2×Dic43—22no—
272C2×Dic43—24no—
273C2×Dic43—24no—
274C2×Dic43—41no—
275C2×Dic43—42no—
276C2×Dic43—44no—
277C2×Dic43—44no—
278C2×Dic43C22×D411yescharacteristic
279C2×Dic43C22×D412yes—
280C2×Dic43C22×D411yescharacteristic
281C4×D43—22no—
282C4×D43—24no—
283C4×D43—22no—
284C4×D43—24no—
285C4×D43—22no—
286C4×D43—24no—
287C4×D43—42no—
288C4×D43—42no—
289C4×D43—42no—
290C4×D43—48no—
291C4×D43—48no—
292C4×D43—48no—
293C4×D43—48no—
294C4×D43H(5,𝔽2)14yes—
295Dic86—28no—
296Dic86—48no—
297Dic86—44no—
298Dic86—48no—
299C8×C43—24no—
300C43⋊C8—24no—
301C2×#3189—431nomaximal, Sylow
302C22×C43—22no—
303C22×C43—21no—
304C22×C43—21no—
305C22×C43—22no—
306C22×C43—44no—
307C22×C43C22×Q1612yes—
308C22×C43C22×Q1614yes—
309C22×C43C23×D411yescharacteristic
310C2×D43—21no—
311C2×D43—22no—
312C2×D43—21no—
313C2×D43—22no—
314C2×D43—216no—
315C2×D43—28no—
316C2×D43—48no—
317C2×D43—44no—
318C2×D43#53412yes—
319C2×D43C22×Q1612yes—
320C2×D43C22×Q1614yes—
321C2×D43C22×Q1612yes—
322C2×D43#57512yes—
323C4×C43—22no—
324C4×C43—21no—
325C4×C43—44no—
326C4×C43—44no—
327C4×C43C2×H(5,𝔽2)12yes—
328Dic43—22no—
329Dic43—21no—
330Dic43—44no—
331Dic43—44no—
332Dic43#53412yes—
333C22×C22⋊Q8—432no—
334#3189—434no—
335#3189—434no—
336#3189—434no—
337#3189—431no—
338#3189—432no—
339#3189D4311yescharacteristic, direct product factor
340C2×#484—434no—
341C2×#467—434no—
342C2×#451—434no—
343C22×C22⋊C8—431no—
344C2×C43—24no—
345C2×C43—22no—
346C2×C43C2×#53411yescharacteristic
347C2×C43C23×Q1611yescharacteristic
348C2×C43C2×#57511yescharacteristic
349D43—22no—
350D43—24no—
351D43#318914yesdirect product factor
352C23×Q8—432no—
353C24×C4—431no—
354C22×Q16—434no—
355C23×C8—432no—
356C2×C22⋊Q8—432no—
357C2×C22⋊Q8—432no—
358C2×C22⋊Q8—434no—
359C2×C22⋊Q8—434no—
360C2×C22⋊Q8—434no—
361C2×C22⋊Q8—434no—
362C2×C22⋊Q8—432no—
363C2×C22⋊Q8—862no—
364C2×C22⋊Q8—862no—
365C2×C22⋊Q8—862no—
366C2×C22⋊Q8—862no—
367C2×C22⋊Q8—862no—
368C2×C22⋊Q8—862no—
369C2×C22⋊Q8C2×D4312yes—
370C22×C4⋊C4—432no—
371C22×C4⋊C4—862no—
372C22×C22⋊C4—862no—
373#484—434no—
374#484—434no—
375#484—438no—
376#484—438no—
377#484—434no—
378#484C2×D4314yescomplemented
379#467—434no—
380#467—434no—
381#467—438no—
382#467—434no—
383#467—438no—
384#467C2×D4314yescomplemented
385#451—434no—
386#451—438no—
387#451—434no—
388#451—438no—
389#451—434no—
390#451C2×D4314yescomplemented
391C2×#107—434no—
392C2×#103—438no—
393C2×C22⋊C8—431no—
394C2×C22⋊C8—432no—
395C2×C22⋊C8—434no—
396C2×C22⋊C8—434no—
397C2×C22⋊C8C2×D4311yescharacteristic
398C43C2×#318911yescharacteristic, complemented, Sylow
399C25—431no—
400C22×Q8—434no—
401C22×Q8—434no—
402C22×Q8—432no—
403C22×Q8—862no—
404C22×Q8—862no—
405C22×Q8—862no—
406C22×Q8—1728no—
407C22×Q8C22×D4312yes—
408C23×C4—431no—
409C23×C4—432no—
410C23×C4—431no—
411C23×C4—432no—
412C23×C4—432no—
413C23×C4—431no—
414C23×C4—431no—
415C23×C4—432no—
416C23×C4—431no—
417C23×C4—862no—
418C23×C4—862no—
419C23×C4—1724no—
420C23×C4C22×D4311yescharacteristic
421C2×Q16—438no—
422C2×Q16—434no—
423C2×Q16—1728no—
424C2×Q16C22×D4314yescomplemented
425C22×C8—432no—
426C22×C8—434no—
427C22×C8—434no—
428C22×C8—1724no—
429C22×C8C22×D4312yes—
430C22⋊Q8—22no—
431C22⋊Q8—22no—
432C22⋊Q8—434no—
433C22⋊Q8—434no—
434C22⋊Q8—434no—
435C22⋊Q8—434no—
436C22⋊Q8—434no—
437C22⋊Q8—434no—
438C22⋊Q8—864no—
439C22⋊Q8—864no—
440C22⋊Q8—864no—
441C22⋊Q8—864no—
442C22⋊Q8—864no—
443C22⋊Q8—864no—
444C22⋊Q8—864no—
445C22⋊Q8—864no—
446C22⋊Q8—862no—
447C22⋊Q8—862no—
448C22⋊Q8—862no—
449C22⋊Q8—862no—
450C22⋊Q8—862no—
451C22⋊Q8—862no—
452C22⋊Q8C22×D4314yes—
453C22⋊Q8C22×D4314yes—
454C2×C4⋊C4—22no—
455C2×C4⋊C4—432no—
456C2×C4⋊C4—434no—
457C2×C4⋊C4—434no—
458C2×C4⋊C4—862no—
459C2×C4⋊C4—862no—
460C2×C4⋊C4—864no—
461C2×C4⋊C4—864no—
462C2×C4⋊C4—864no—
463C2×C4⋊C4—864no—
464C2×C4⋊C4—862no—
465C2×C4⋊C4—862no—
466C2×C4⋊C4—862no—
467C2×C4⋊C4—862no—
468C2×C4⋊C4C22×D4312yes—
469C2×C22⋊C4—22no—
470C2×C22⋊C4—864no—
471C2×C22⋊C4—864no—
472C2×C22⋊C4—864no—
473C2×C22⋊C4—864no—
474C2×C22⋊C4—862no—
475C2×C22⋊C4—862no—
476C2×C22⋊C4—862no—
477#107—434no—
478#107—438no—
479#107C22×D4314yescomplemented
480#103—438no—
481#103—438no—
482#103—438no—
483#103C22×D4318yescomplemented
484C22⋊C8—434no—
485C22⋊C8—438no—
486C22⋊C8C22×D4314yes—
487C24—431no—
488C24—432no—
489C24—438no—
490C24—432no—
491C24—431no—
492C24—1722no—
493C24—1722no—
494C24D4×D4311yescharacteristic
495C2×Q8—22no—
496C2×Q8—44no—
497C2×Q8—434no—
498C2×Q8—864no—
499C2×Q8—864no—
500C2×Q8—8616no—
501C2×Q8—862no—
502C2×Q8—1724no—
503C2×Q8—1728no—
504C2×Q8—1728no—
505C2×Q8—1728no—
506C2×Q8—1728no—
507C2×Q8C23×D4314yes—
508C22×C4—22no—
509C22×C4—22no—
510C22×C4—42no—
511C22×C4—431no—
512C22×C4—432no—
513C22×C4—431no—
514C22×C4—432no—
515C22×C4—431no—
516C22×C4—431no—
517C22×C4—432no—
518C22×C4—432no—
519C22×C4—431no—
520C22×C4—432no—
521C22×C4—431no—
522C22×C4—432no—
523C22×C4—432no—
524C22×C4—432no—
525C22×C4—864no—
526C22×C4—868no—
527C22×C4—864no—
528C22×C4—864no—
529C22×C4—864no—
530C22×C4—864no—
531C22×C4—862no—
532C22×C4—862no—
533C22×C4—1722no—
534C22×C4—1724no—
535C22×C4—1722no—
536C22×C4—1724no—
537C22×C4—1722no—
538C22×C4—1724no—
539C22×C4—1728no—
540C22×C4—1728no—
541C22×C4—1722no—
542C22×C4D4×D4312yes—
543C22×C4D4×D4311yescharacteristic
544C22×C4C23×D4312yes—
545C22×C4C23×D4311yescharacteristic
546Q16—44no—
547Q16—1724no—
548Q16—1728no—
549C2×C8—42no—
550C2×C8—434no—
551C2×C8—868no—
552C2×C8—1724no—
553C2×C8—1722no—
554C2×C8C23×D4314yes—
555C4⋊C4—24no—
556C4⋊C4—24no—
557C4⋊C4—22no—
558C4⋊C4—434no—
559C4⋊C4—864no—
560C4⋊C4—864no—
561C4⋊C4—864no—
562C4⋊C4—864no—
563C4⋊C4—864no—
564C4⋊C4—864no—
565C4⋊C4—862no—
566C4⋊C4—864no—
567C4⋊C4—864no—
568C4⋊C4C23×D4314yes—
569C22⋊C4—24no—
570C22⋊C4—24no—
571C22⋊C4—864no—
572C22⋊C4—864no—
573C22⋊C4—864no—
574C22⋊C4—864no—
575C22⋊C4—864no—
576C22⋊C4—864no—
577C23—41no—
578C23—41no—
579C23—431no—
580C23—434no—
581C23—438no—
582C23—431no—
583C23—432no—
584C23—438no—
585C23—434no—
586C23—864no—
587C23—862no—
588C23—864no—
589C23—862no—
590C23—1722no—
591C23—1721no—
592C23—1722no—
593C23—1721no—
594C23—17216no—
595C23Q16×D4314yescomplemented
596C23C2×D4×D4311yescharacteristic
597C23C2×D4×D4312yes—
598Q8—28no—
599Q8—44no—
600Q8—868no—
601Q8—1724no—
602Q8—1728no—
603Q8—1728no—
604C2×C4—22no—
605C2×C4—24no—
606C2×C4—24no—
607C2×C4—24no—
608C2×C4—41no—
609C2×C4—42no—
610C2×C4—44no—
611C2×C4—44no—
612C2×C4—431no—
613C2×C4—434no—
614C2×C4—431no—
615C2×C4—432no—
616C2×C4—864no—
617C2×C4—862no—
618C2×C4—864no—
619C2×C4—862no—
620C2×C4—864no—
621C2×C4—862no—
622C2×C4—862no—
623C2×C4—864no—
624C2×C4—864no—
625C2×C4—864no—
626C2×C4—1722no—
627C2×C4—1722no—
628C2×C4—1722no—
629C2×C4—1728no—
630C2×C4—1728no—
631C2×C4—1728no—
632C2×C4—1728no—
633C2×C4—1721no—
634C2×C4—1722no—
635C2×C4—1724no—
636C2×C4—1724no—
637C2×C4C2×D4×D4311yescharacteristic
638C2×C4C2×D4×D4312yes—
639C2×C4C24×D4311yescharacteristic
640C8—24no—
641C8—864no—
642C22—22no—
643C22—21no—
644C22—22no—
645C22—21no—
646C22—44no—
647C22—432no—
648C22—432no—
649C22—432no—
650C22—432no—
651C22—434no—
652C22—8616no—
653C22—868no—
654C22—862no—
655C22—861no—
656C22—862no—
657C22—861no—
658C22—1728no—
659C22—1724no—
660C22C2×Q16×D4312yes—
661C22C2×Q16×D4314yes—
662C22C22×D4×D4311yescharacteristic
663C4—22no—
664C4—21no—
665C4—44no—
666C4—44no—
667C4—432no—
668C4—862no—
669C4—861no—
670C4—1724no—
671C4—1724no—
672C4H(5,𝔽2)×D4312yes—
673C2—24no—
674C2—22no—
675C2—434no—
676C2—864no—
677C2—862no—
678C2#534×D4311yescharacteristic
679C2C22×Q16×D4311yescharacteristic
680C2#575×D4311yescharacteristic
subgroupG/H
centerC22C22×D4×D43
commutator, cosocleC2×C4×C43C25
FrattiniC2×C4C24×D43
FittingC43×#3189C2
socleC22×C43C23×D4
prime radicalC24×D43D4
hypercenter#3189D43
hypocenterC43C2×#3189
LCSG ▷ C2×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C22 ◁ C23×C4 ◁ #3189

Complements

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

NH ≅ G/Ntype
2. #19145370C2semidirect
3. #19145369C2semidirect
4. #19145368C2semidirect
5. #19145367C2semidirect
6. #19145366C2semidirect
7. #484×D43C2semidirect
8. #467×D43C2semidirect
9. #451×D43C2semidirect
11. C43×#3189C2semidirect
14. C2×Q16×D43C22semidirect
32. #14583236C22semidirect
33. #14583235C22semidirect
34. #14583234C22semidirect
35. #14583233C22semidirect
36. #14583232C22semidirect
37. #14583141C22semidirect
38. #14583140C22semidirect
39. #14583139C22semidirect
40. #14583138C22semidirect
41. #14583137C22semidirect
42. #14583057C22semidirect
43. #14583056C22semidirect
44. #14583055C22semidirect
45. #14583054C22semidirect
46. #14583053C22semidirect
47. #107×D43C22semidirect
48. #103×D43C22semidirect
54. C43×#484C22semidirect
55. C43×#467C22semidirect
56. C43×#451C22semidirect
78. C2×Dic172C23semidirect
79. C2×#10621885C23semidirect
125. #13063259C23semidirect
126. #13063258C23semidirect
127. #13063250C23semidirect
128. #13063249C23semidirect
129. #13063248C23semidirect
134. C2×Q16×C43C23semidirect
143. #107×C43C23semidirect
144. #103×C43C23semidirect
149. C23×D43Q16semidirect
238. C23×C43C2×Q16semidirect
252. C22×D43C2×Q16semidirect
253. C22×D43C2×Q16semidirect
339. #3189D43direct (N × H)
351. D43#3189direct (N × H)
378. #484C2×D43semidirect
384. #467C2×D43semidirect
390. #451C2×D43semidirect
398. C43C2×#3189semidirect
424. C2×Q16C22×D43semidirect
479. #107C22×D43semidirect
483. #103C22×D43semidirect
595. C23Q16×D43semidirect

Maximal subgroups

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

subgroupindex
C2×C22⋊Q8×D432
#191453702
#191453692
#191453682
#191453672
#191453662
#484×D432
#467×D432
#451×D432
C2×C22⋊C8×D432
C43×#31892
C2×#318943