Finite Group Databasebeta

← D43×#1986 #25101076

Subgroups — D43×#1986 #25101076

Order 11008.

1290 conjugacy classes of subgroups.

The subgroup lattice has 678 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#533×D43C211yesmaximal, characteristic
2C4×M16×D43C211yesmaximal, characteristic
3C4×C4⋊C4×D43C211yesmaximal, characteristic
4#19135540C211yesmaximal, characteristic, complemented
5#19135539C211yesmaximal, characteristic, complemented
6#19135538C211yesmaximal, characteristic, complemented
7#19135537C214yesmaximal, complemented
8#339×D43C214yesmaximal
9C43×#1986C211yesmaximal, characteristic, complemented
10C2×M16×D43C2212yes—
11#14583456C2211yescharacteristic
12#14583455C412yescomplemented
13#14583454C411yescharacteristic, complemented
14#14583454C411yescharacteristic, complemented
15#14583453—21no—
16#14583453—21no—
17#14583452C2212yes—
18#14583451—21no—
19#14583451—21no—
20C4⋊Q8×D43C411yescharacteristic, complemented
21C4⋊Q8×D43C411yescharacteristic, complemented
22#125×D43C412yescomplemented
23C22⋊Q8×D43—21no—
24C22⋊Q8×D43—21no—
25C4×Q8×D43—21no—
26C4×Q8×D43—21no—
27#117×D43C2212yes—
28C2×C4⋊C4×D43—21no—
29C2×C42×D43C2212yes—
30C2×C42×D43C2211yescharacteristic
31C4×#10621877C2211yescharacteristic
32#14582851—21no—
33M16×Dic43C2212yes—
34C4×#10621872—21no—
35#97×D43—21no—
36C4×C8×D43—21no—
37C4⋊C4×Dic43—21no—
38C4×Dic43⋊C4C2212yes—
39C4×C4⋊Dic43C2211yescharacteristic
40#14582750—21no—
41#95×D43—21no—
42#14582660C2214yes—
43#14582659C2214yes—
44#14582658C2214yes—
45C43×#533C2211yescharacteristic
46C4×M16×C43C2211yescharacteristic
47C4×C4⋊C4×C43C2211yescharacteristic
48C43×#339C2214yes—
49C2×Q8×D43—21no—
50C2×Q8×D43—21no—
51C22×C4×D43—22no—
52C22×C4×D43D411yescharacteristic
53C22×C4×D43D411yescharacteristic
54C22×C4×D43C2311yescharacteristic
55C2×#10621877C2312yes—
56C2×#10621872—22no—
57M16×D43—24no—
58M16×D43Q818yescomplemented
59C2×C8×D43—22no—
60#13063325C2×C411yescharacteristic, complemented
61#13063325C2×C411yescharacteristic, complemented
62#13063324—21no—
63#13063324—21no—
64#13063324C2×C412yescomplemented
65#13063324C2×C412yescomplemented
66#13063323—21no—
67#13063323—21no—
68#13063317C2×C412yescomplemented
69#13063316C2×C412yescomplemented
70#13063316C2×C412yescomplemented
71#13063315—22no—
72#13063315—22no—
73#13063305—21no—
74#13063305—21no—
75#13063304—21no—
76#13063304—21no—
77#13063303—22no—
78#13063303—22no—
79#13063302—22no—
80#13063302—22no—
81#13063301—21no—
82#13063301—21no—
83Q8×Dic43—21no—
84Q8×Dic43—21no—
85C4×Dic86—21no—
86C4×Dic86—21no—
87C4×Dic86—22no—
88C4×Dic86—22no—
89#13063290—21no—
90#13063290—21no—
91#13063290—22no—
92#13063290—22no—
93#13063284C2312yes—
94#13063283C2×C412yes—
95#13063283C2×C412yes—
96#13063282—22no—
97#13063281—22no—
98C2×C4⋊Dic43—21no—
99C2×Dic43⋊C4—22no—
100C4⋊C4×D43—28no—
101C4⋊C4×D43—22no—
102C4⋊C4×D43—22no—
103C4⋊C4×D43—21no—
104C4⋊C4×D43—21no—
105C4⋊C4×D43C2×C412yes—
106C4⋊C4×D43C2×C412yes—
107C22⋊C4×D43—22no—
108C2×C4×Dic43—22no—
109C2×C4×Dic43D411yescharacteristic
110C2×C4×Dic43D411yescharacteristic
111C2×C4×Dic43C2312yes—
112C2×C4×Dic43C2311yescharacteristic
113C42×D43—22no—
114C42×D43—28no—
115C42×D43C2×C411yescharacteristic
116C42×D43C2×C411yescharacteristic
117C42×D43C2×C411yescharacteristic
118C42×D43C2×C411yescharacteristic
119C42×D43D411yescharacteristic
120C42×D43D411yescharacteristic
121C42×D43D411yescharacteristic
122C42×D43D411yescharacteristic
123#13063236—21no—
124#13063235—22no—
125C4×C43⋊C8—21no—
126C8×Dic43—22no—
127C43⋊#95—21no—
128C43⋊#95—22no—
129C2×M16×C43C2312yes—
130C4⋊Q8×C43C2×C411yescharacteristic, complemented
131C4⋊Q8×C43C2×C411yescharacteristic, complemented
132#125×C43C2×C412yescomplemented
133C22⋊Q8×C43—21no—
134C22⋊Q8×C43—21no—
135C4×Q8×C43—21no—
136C4×Q8×C43—21no—
137#117×C43C2312yes—
138C2×C4⋊C4×C43—21no—
139C2×C42×C43C2312yes—
140C2×C42×C43C2311yescharacteristic
141#97×C43—21no—
142C4×C8×C43—21no—
143#95×C43—21no—
144C23×D43C2×D411yescharacteristic
145C2×Q8×C43—21no—
146C2×Q8×C43—21no—
147C22×C4×C43—22no—
148C22×C4×C43C2×D411yescharacteristic
149C22×C4×C43C2×D411yescharacteristic
150C22×C4×C43C2411yescharacteristic
151C22×Dic43—22no—
152C22×Dic43C2×D411yescharacteristic
153C22×Dic43C2×D411yescharacteristic
154C22×Dic43C2×D411yescharacteristic
155Q8×D43—44no—
156Q8×D43—44no—
157C2×C4×D43—24no—
158C2×C4×D43—28no—
159C2×C4×D43—22no—
160C2×C4×D43—22no—
161C2×C4×D43—42no—
162C2×C4×D43—44no—
163C2×C4×D43—44no—
164C2×C4×D43C22⋊C411yescharacteristic
165C2×C4×D43C22⋊C411yescharacteristic
166C2×C4×D43C22⋊C411yescharacteristic
167C2×C4×D43C22⋊C411yescharacteristic
168C2×C4×D43C22⋊C411yescharacteristic
169C2×C4×D43C22⋊C411yescharacteristic
170C2×C4×D43C22⋊C411yescharacteristic
171C2×C4×D43C22⋊C411yescharacteristic
172C2×C4×D43C22×C411yescharacteristic
173C2×C4×D43C22×C411yescharacteristic
174C2×C4×D43C2×D411yescharacteristic
175C2×C4×D43C2×D411yescharacteristic
176C2×C4×D43C2×Q814yes—
177C2×C4×D43#4114yes—
178C2×Dic86—21no—
179C2×Dic86—21no—
180C2×Dic86—22no—
181C2×Dic86—22no—
182M16×C43—22no—
183M16×C43C2×Q814yescomplemented
184C2×C8×C43—22no—
185C4⋊C4×C43—24no—
186C4⋊C4×C43—22no—
187C4⋊C4×C43—22no—
188C4⋊C4×C43—21no—
189C4⋊C4×C43—21no—
190C4⋊C4×C43C22×C412yes—
191C4⋊C4×C43C22×C412yes—
192C22⋊C4×C43—22no—
193C42×C43—22no—
194C42×C43—24no—
195C42×C43C22×C411yescharacteristic
196C42×C43C22×C411yescharacteristic
197C42×C43C2×D411yescharacteristic
198C42×C43C2×D411yescharacteristic
199C22⋊Dic43—22no—
200(C2×D43)⋊C4—22no—
201(C2×D43)⋊C4—22no—
202C4⋊Dic43—24no—
203C4⋊Dic43—21no—
204C4⋊Dic43—21no—
205C4⋊Dic43—22no—
206C4⋊Dic43—22no—
207C4⋊Dic43C22×C412yes—
208C4⋊Dic43C22×C412yes—
209Dic43⋊C4—28no—
210Dic43⋊C4—22no—
211Dic43⋊C4—22no—
212Dic43⋊C4—22no—
213Dic43⋊C4—22no—
214Dic43⋊C4—22no—
215Dic43⋊C4—22no—
216Dic43⋊C4—22no—
217Dic43⋊C4—22no—
218C4×Dic43—22no—
219C4×Dic43—22no—
220C4×Dic43—22no—
221C4×Dic43—24no—
222C4×Dic43—44no—
223C4×Dic43C22⋊C411yescharacteristic
224C4×Dic43C22⋊C411yescharacteristic
225C4×Dic43C22⋊C411yescharacteristic
226C4×Dic43C22⋊C411yescharacteristic
227C4×Dic43C22⋊C411yescharacteristic
228C4×Dic43C22⋊C411yescharacteristic
229C4×Dic43C22⋊C411yescharacteristic
230C4×Dic43C22⋊C411yescharacteristic
231C4×Dic43C22×C411yescharacteristic
232C4×Dic43C22×C411yescharacteristic
233C4×Dic43C2×D411yescharacteristic
234C4×Dic43C2×D411yescharacteristic
235#10621877—22no—
236#10621877C2×Q814yescomplemented
237C2×C43⋊C8—22no—
238#10621872—28no—
239C8×D43—28no—
240C23×C43C22×D411yescharacteristic
241C22×D43—22no—
242C22×D43—22no—
243C22×D43C2×C22⋊C411yescharacteristic
244C22×D43C2×C22⋊C411yescharacteristic
245C22×D43#12412yes—
246C22×D43C4⋊Q812yes—
247Q8×C43—42no—
248Q8×C43—42no—
249C2×C4×C43—22no—
250C2×C4×C43—24no—
251C2×C4×C43—22no—
252C2×C4×C43—22no—
253C2×C4×C43—41no—
254C2×C4×C43—42no—
255C2×C4×C43—42no—
256C2×C4×C43C2×C22⋊C411yescharacteristic
257C2×C4×C43C2×C22⋊C411yescharacteristic
258C2×C4×C43C2×C22⋊C411yescharacteristic
259C2×C4×C43C2×C22⋊C411yescharacteristic
260C2×C4×C43C23×C411yescharacteristic
261C2×C4×C43C22×D411yescharacteristic
262C2×C4×C43C22×Q812yes—
263C2×C4×C43C2×#4112yes—
264C2×Dic43—22no—
265C2×Dic43—24no—
266C2×Dic43—22no—
267C2×Dic43—22no—
268C2×Dic43—41no—
269C2×Dic43—42no—
270C2×Dic43—42no—
271C2×Dic43C2×C22⋊C411yescharacteristic
272C2×Dic43C2×C22⋊C411yescharacteristic
273C2×Dic43C2×C22⋊C411yescharacteristic
274C2×Dic43C2×C22⋊C411yescharacteristic
275C2×Dic43C2×C22⋊C411yescharacteristic
276C2×Dic43C2×C22⋊C411yescharacteristic
277C2×Dic43#12412yes—
278C2×Dic43C4⋊Q812yes—
279C4×D43—22no—
280C4×D43—22no—
281C4×D43—22no—
282C4×D43—22no—
283C4×D43—22no—
284C4×D43—41no—
285C4×D43—41no—
286C4×D43—416no—
287C4×D43—44no—
288C4×D43—44no—
289C4×D43#10414yes—
290C4×D43C4×Q814yes—
291C4×D43C4×Q814yes—
292C4×D43C22⋊Q814yes—
293C4×D43C22⋊Q814yes—
294Dic86—44no—
295Dic86—42no—
296Dic86—42no—
297Dic86—44no—
298C8×C43—24no—
299C43⋊C8—24no—
300C2×#1986—431nomaximal, Sylow
301C22×C43—21no—
302C22×C43—21no—
303C22×C43C22×C22⋊C411yescharacteristic
304C22×C43C2×#12411yescharacteristic
305C22×C43C2×C4⋊Q811yescharacteristic
306C2×D43—21no—
307C2×D43—21no—
308C2×D43—24no—
309C2×D43—24no—
310C2×D43#39112yes—
311C2×D43#39112yes—
312C2×D43C2×#10412yes—
313C2×D43#42112yes—
314C4×C43—21no—
315C4×C43—21no—
316C4×C43—21no—
317C4×C43—44no—
318C4×C43—42no—
319C4×C43—42no—
320C4×C43C2×#10412yes—
321C4×C43C2×C4×Q812yes—
322C4×C43C2×C22⋊Q812yes—
323Dic43—21no—
324Dic43—21no—
325Dic43—21no—
326Dic43—44no—
327Dic43—42no—
328Dic43—42no—
329Dic43#39112yes—
330Dic43#39112yes—
331Dic43C2×#10412yes—
332C2×#533—431no—
333C2×C4×M16—431no—
334C2×C4×C4⋊C4—431no—
335#1986—431no—
336#1986—431no—
337#1986—434no—
338#1986—431no—
339#1986D4311yescharacteristic, direct product factor
340C2×#339—434no—
341C2×C43—21no—
342C2×C43—21no—
343C2×C43C2×#39111yescharacteristic
344C2×C43C22×#10411yescharacteristic
345C2×C43C2×#42111yescharacteristic
346D43—22no—
347D43#198614yesdirect product factor
348C22×M16—432no—
349#533—431no—
350#533—431no—
351#533—432no—
352#533—432no—
353#533—431no—
354#533—861no—
355#533—861no—
356#533—861no—
357#533—861no—
358#533C2×D4311yescharacteristic
359C2×C4⋊Q8—431no—
360C2×C4⋊Q8—431no—
361C2×#125—432no—
362C2×C22⋊Q8—861no—
363C2×C22⋊Q8—861no—
364C2×C4×Q8—861no—
365C2×C4×Q8—861no—
366C2×#117—432no—
367C22×C4⋊C4—861no—
368C22×C42—431no—
369C22×C42—432no—
370C4×M16—432no—
371C4×M16—431no—
372C4×M16—861no—
373C4×M16—861no—
374C4×M16C2×D4311yescharacteristic
375C2×#97—861no—
376C2×C4×C8—861no—
377C4×C4⋊C4—432no—
378C4×C4⋊C4—431no—
379C4×C4⋊C4—861no—
380C4×C4⋊C4—861no—
381C4×C4⋊C4C2×D4311yescharacteristic
382C2×#95—861no—
383#339—434no—
384#339—434no—
385#339—434no—
386#339C2×D4314yes—
387C43C2×#198611yescharacteristic, complemented, Sylow
388C22×Q8—861no—
389C22×Q8—861no—
390C23×C4—431no—
391C23×C4—431no—
392C23×C4—431no—
393C23×C4—862no—
394C2×M16—432no—
395C2×M16—438no—
396C2×M16—862no—
397C2×M16—864no—
398C2×M16C22×D4312yes—
399C22×C8—862no—
400C4⋊Q8—432no—
401C4⋊Q8—432no—
402C4⋊Q8—431no—
403C4⋊Q8—431no—
404C4⋊Q8—861no—
405C4⋊Q8—861no—
406C4⋊Q8—861no—
407C4⋊Q8—861no—
408C4⋊Q8C4×D4311yescharacteristic, complemented
409C4⋊Q8C4×D4311yescharacteristic, complemented
410#125—432no—
411#125—432no—
412#125—432no—
413#125—862no—
414#125—862no—
415#125C4×D4312yescomplemented
416C22⋊Q8—21no—
417C22⋊Q8—21no—
418C22⋊Q8—862no—
419C22⋊Q8—862no—
420C22⋊Q8—862no—
421C22⋊Q8—862no—
422C22⋊Q8—861no—
423C22⋊Q8—861no—
424C22⋊Q8—861no—
425C22⋊Q8—861no—
426C22⋊Q8—861no—
427C22⋊Q8—861no—
428C4×Q8—21no—
429C4×Q8—21no—
430C4×Q8—862no—
431C4×Q8—862no—
432C4×Q8—862no—
433C4×Q8—862no—
434C4×Q8—861no—
435C4×Q8—861no—
436C4×Q8—861no—
437C4×Q8—861no—
438C4×Q8—861no—
439C4×Q8—861no—
440#117—432no—
441#117—432no—
442#117—432no—
443#117—862no—
444#117—862no—
445#117C22×D4312yes—
446C2×C4⋊C4—21no—
447C2×C4⋊C4—432no—
448C2×C4⋊C4—432no—
449C2×C4⋊C4—862no—
450C2×C4⋊C4—862no—
451C2×C4⋊C4—861no—
452C2×C4⋊C4—861no—
453C2×C4⋊C4—868no—
454C2×C4⋊C4—862no—
455C2×C4⋊C4—861no—
456C2×C22⋊C4—862no—
457C2×C42—431no—
458C2×C42—431no—
459C2×C42—431no—
460C2×C42—431no—
461C2×C42—431no—
462C2×C42—431no—
463C2×C42—431no—
464C2×C42—431no—
465C2×C42—431no—
466C2×C42—431no—
467C2×C42—431no—
468C2×C42—432no—
469C2×C42—862no—
470C2×C42—868no—
471C2×C42—862no—
472C2×C42C22×D4312yes—
473C2×C42C22×D4311yescharacteristic
474#97—21no—
475#97—862no—
476#97—861no—
477C4×C8—21no—
478C4×C8—862no—
479C4×C8—861no—
480#95—21no—
481#95—862no—
482#95—861no—
483C24—431no—
484C2×Q8—21no—
485C2×Q8—21no—
486C2×Q8—862no—
487C2×Q8—862no—
488C2×Q8—861no—
489C2×Q8—861no—
490C2×Q8—1724no—
491C2×Q8—1724no—
492C22×C4—22no—
493C22×C4—431no—
494C22×C4—431no—
495C22×C4—431no—
496C22×C4—431no—
497C22×C4—431no—
498C22×C4—431no—
499C22×C4—434no—
500C22×C4—434no—
501C22×C4—431no—
502C22×C4—431no—
503C22×C4—431no—
504C22×C4—431no—
505C22×C4—431no—
506C22×C4—431no—
507C22×C4—431no—
508C22×C4—431no—
509C22×C4—431no—
510C22×C4—864no—
511C22×C4—862no—
512C22×C4—862no—
513C22×C4—868no—
514C22×C4—862no—
515C22×C4—1722no—
516C22×C4—1724no—
517C22×C4—1724no—
518C22×C4D4×D4311yescharacteristic
519C22×C4D4×D4311yescharacteristic
520C22×C4C23×D4311yescharacteristic
521M16—22no—
522M16—434no—
523M16—868no—
524M16—862no—
525M16Q8×D4314yescomplemented
526C2×C8—22no—
527C2×C8—868no—
528C2×C8—862no—
529C4⋊C4—24no—
530C4⋊C4—22no—
531C4⋊C4—22no—
532C4⋊C4—21no—
533C4⋊C4—21no—
534C4⋊C4—432no—
535C4⋊C4—432no—
536C4⋊C4—862no—
537C4⋊C4—862no—
538C4⋊C4—862no—
539C4⋊C4—862no—
540C4⋊C4—862no—
541C4⋊C4—862no—
542C4⋊C4—862no—
543C4⋊C4—862no—
544C4⋊C4—868no—
545C4⋊C4—864no—
546C4⋊C4—862no—
547C4⋊C4—862no—
548C4⋊C4—861no—
549C4⋊C4—861no—
550C4⋊C4C2×C4×D4312yes—
551C4⋊C4C2×C4×D4312yes—
552C22⋊C4—22no—
553C22⋊C4—862no—
554C22⋊C4—862no—
555C22⋊C4—862no—
556C42—22no—
557C42—24no—
558C42—431no—
559C42—431no—
560C42—431no—
561C42—431no—
562C42—431no—
563C42—431no—
564C42—431no—
565C42—431no—
566C42—431no—
567C42—431no—
568C42—431no—
569C42—431no—
570C42—862no—
571C42—862no—
572C42—862no—
573C42—864no—
574C42—1724no—
575C42C2×C4×D4311yescharacteristic
576C42C2×C4×D4311yescharacteristic
577C42D4×D4311yescharacteristic
578C42D4×D4311yescharacteristic
579C23—431no—
580C23—431no—
581C23—432no—
582C23—432no—
583C23—862no—
584C23—862no—
585C23C2×D4×D4311yescharacteristic
586Q8—42no—
587Q8—42no—
588Q8—1722no—
589Q8—1724no—
590Q8—1724no—
591Q8—1722no—
592C2×C4—22no—
593C2×C4—24no—
594C2×C4—22no—
595C2×C4—22no—
596C2×C4—41no—
597C2×C4—42no—
598C2×C4—42no—
599C2×C4—431no—
600C2×C4—431no—
601C2×C4—431no—
602C2×C4—432no—
603C2×C4—432no—
604C2×C4—434no—
605C2×C4—434no—
606C2×C4—434no—
607C2×C4—434no—
608C2×C4—434no—
609C2×C4—431no—
610C2×C4—431no—
611C2×C4—431no—
612C2×C4—862no—
613C2×C4—862no—
614C2×C4—862no—
615C2×C4—862no—
616C2×C4—862no—
617C2×C4—862no—
618C2×C4—864no—
619C2×C4—862no—
620C2×C4—862no—
621C2×C4—1721no—
622C2×C4—1721no—
623C2×C4—1724no—
624C2×C4—1724no—
625C2×C4—17216no—
626C2×C4—1721no—
627C2×C4—1722no—
628C2×C4—1722no—
629C2×C4C22⋊C4×D4311yescharacteristic
630C2×C4C22⋊C4×D4311yescharacteristic
631C2×C4C22⋊C4×D4311yescharacteristic
632C2×C4C22⋊C4×D4311yescharacteristic
633C2×C4C22×C4×D4311yescharacteristic
634C2×C4C2×D4×D4311yescharacteristic
635C2×C4C2×Q8×D4312yes—
636C2×C4#41×D4312yes—
637C8—24no—
638C8—864no—
639C22—21no—
640C22—21no—
641C22—432no—
642C22—432no—
643C22—432no—
644C22—432no—
645C22—864no—
646C22—864no—
647C22—861no—
648C22—861no—
649C22C2×C22⋊C4×D4311yescharacteristic
650C22#124×D4311yescharacteristic
651C22C4⋊Q8×D4311yescharacteristic
652C4—21no—
653C4—21no—
654C4—21no—
655C4—44no—
656C4—42no—
657C4—42no—
658C4—432no—
659C4—432no—
660C4—432no—
661C4—861no—
662C4—861no—
663C4—861no—
664C4—1724no—
665C4—1722no—
666C4—1722no—
667C4#104×D4312yes—
668C4C4×Q8×D4312yes—
669C4C22⋊Q8×D4312yes—
670C2—21no—
671C2—21no—
672C2—434no—
673C2—862no—
674C2#391×D4311yescharacteristic
675C2C2×#104×D4311yescharacteristic
676C2#421×D4311yescharacteristic
subgroupG/H
centerC2×C4C2×D4×D43
commutatorC2×C4×C43C23×C4
FrattiniC22×C4C23×D43
FittingC43×#1986C2
socleC22×C43C22×C22⋊C4
prime radicalC23×D43C2×D4
cosocleC22×C4×C43C24
hypercenter#1986D43
hypocenterC43C2×#1986
LCSG ▷ C2×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C2×C4 ◁ C2×C42 ◁ #1986

Complements

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

NH ≅ G/Ntype
4. #19135540C2semidirect
5. #19135539C2semidirect
6. #19135538C2semidirect
7. #19135537C2semidirect
9. C43×#1986C2semidirect
12. #14583455C4semidirect
13. #14583454C4semidirect
14. #14583454C4semidirect
20. C4⋊Q8×D43C4semidirect
21. C4⋊Q8×D43C4semidirect
22. #125×D43C4semidirect
58. M16×D43Q8semidirect
60. #13063325C2×C4semidirect
61. #13063325C2×C4semidirect
64. #13063324C2×C4semidirect
65. #13063324C2×C4semidirect
68. #13063317C2×C4semidirect
69. #13063316C2×C4semidirect
70. #13063316C2×C4semidirect
130. C4⋊Q8×C43C2×C4semidirect
131. C4⋊Q8×C43C2×C4semidirect
132. #125×C43C2×C4semidirect
183. M16×C43C2×Q8semidirect
236. #10621877C2×Q8semidirect
339. #1986D43direct (N × H)
347. D43#1986direct (N × H)
387. C43C2×#1986semidirect
408. C4⋊Q8C4×D43semidirect
409. C4⋊Q8C4×D43semidirect
415. #125C4×D43semidirect
525. M16Q8×D43semidirect

Maximal subgroups

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

subgroupindex
#533×D432
C4×M16×D432
C4×C4⋊C4×D432
#191355402
#191355392
#191355382
#191355372
#339×D432
C43×#19862
C2×#198643