Finite Group Databasebeta

← #25068016

Subgroups — #25068016

Order 11008.

794 conjugacy classes of subgroups.

The subgroup lattice has 658 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C4×D8×D43C211yesmaximal, characteristic
2#19143331C211yesmaximal, characteristic, complemented
3D4×#10621872C211yesmaximal, characteristic, complemented
4#19133478C211yesmaximal, characteristic, complemented
5#19133477C211yesmaximal, characteristic, complemented
6#19133426C211yesmaximal, characteristic, complemented
7#19133425C211yesmaximal, characteristic, complemented
8#19133423C211yesmaximal, characteristic, complemented
9C8×#10621882C211yesmaximal, characteristic, complemented
10#19133387C211yesmaximal, characteristic, complemented
11#19133352C211yesmaximal, characteristic, complemented
12#19133018C211yesmaximal, characteristic, complemented
13#19133018C211yesmaximal, characteristic, complemented
14#19132874C211yesmaximal, characteristic, complemented
15C43×#1581C211yesmaximal, characteristic, complemented
16C2×D8×D43C411yescharacteristic
17C22×#10621872—21no—
18C2×M16×D43—21no—
19C4×D4×D43C2211yescharacteristic
20C4×D4×D43C2211yescharacteristic
21C4×D344C2211yescharacteristic
22D8×Dic43C411yescharacteristic
23#14582981C411yescharacteristic
24C4×#10621882C2211yescharacteristic
25C4×#10621882C2211yescharacteristic
26#14582979C411yescharacteristic
27#14582979C411yescharacteristic
28#14582978C2211yescharacteristic, complemented
29#14582977C2211yescharacteristic, complemented
30#14582976C2211yescharacteristic, complemented
31#14582973—21no—
32#14582970—21no—
33#14582968—21no—
34#14582967—21no—
35C8×D172C2211yescharacteristic, complemented
36D4×C43⋊C8C2211yescharacteristic, complemented
37#14582964C2211yescharacteristic, complemented
38#14582950C2211yescharacteristic
39#107×D43C411yescharacteristic
40#14582921C2211yescharacteristic
41#14582921C2211yescharacteristic
42#102×D43C411yescharacteristic
43#102×D43C411yescharacteristic
44#14582861—21no—
45#14582861—21no—
46C4×#10621872C2211yescharacteristic
47C4×C8×D43C2211yescharacteristic
48#14582652C2211yescharacteristic, complemented
49#14582651C2211yescharacteristic, complemented
50#14582651C2211yescharacteristic, complemented
51#14582628C2211yescharacteristic, complemented
52#14582628C2211yescharacteristic, complemented
53D4⋊(C43⋊C8)C2211yescharacteristic, complemented
54D4⋊(C43⋊C8)C2211yescharacteristic, complemented
55#14582626C2211yescharacteristic, complemented
56#14582626C2211yescharacteristic, complemented
57#14582621C2211yescharacteristic, complemented
58C8×C43⋊C8C2211yescharacteristic, complemented
59C8×C43⋊C8C2211yescharacteristic, complemented
60C4×D8×C43C2211yescharacteristic
61C43×#436C2211yescharacteristic, complemented
62C8×D4×C43C2211yescharacteristic, complemented
63C43×#335C2211yescharacteristic, complemented
64C43×D4⋊C8C2211yescharacteristic, complemented
65C43×D4⋊C8C2211yescharacteristic, complemented
66C43×#322C2211yescharacteristic, complemented
67C2×D4×D43C2×C411yescharacteristic
68C2×D4×D43C2×C411yescharacteristic
69C22×C4×D43—21no—
70C22×C4×D43—21no—
71C2×D344C2×C411yescharacteristic
72C2×#10621882C2×C411yescharacteristic
73C2×#10621882C2×C411yescharacteristic
74D8×D43—24no—
75C2×#10621877—21no—
76C2×#10621872—21no—
77C2×#10621872—21no—
78C2×#10621872—21no—
79C2×#10621872—21no—
80C2×#10621872—44no—
81C2×#10621872D411yescharacteristic
82C2×#10621872D411yescharacteristic
83M16×D43—44no—
84C22×C43⋊C8—21no—
85C2×C8×D43—21no—
86C2×C8×D43—21no—
87C2×C8×D43C2×C411yescharacteristic
88C2×C8×D43C2×C411yescharacteristic
89C4×D172C2311yescharacteristic
90C4×D172C2311yescharacteristic
91D4×Dic43C2×C411yescharacteristic
92D4×Dic43C2×C411yescharacteristic
93#13063287C2×C411yescharacteristic
94#13063287C2×C411yescharacteristic
95C4×C22⋊D43—21no—
96C4×C22⋊D43—21no—
97(C22⋊D43)⋊C4—21no—
98(C22⋊D43)⋊C4—21no—
99C4⋊C4×D43C2×C411yescharacteristic
100C4⋊C4×D43C2×C411yescharacteristic
101C22⋊C4×D43—21no—
102C22⋊C4×D43—21no—
103C42×D43C2311yescharacteristic
104#13063259C2×C411yescharacteristic
105#13063258C2×C411yescharacteristic
106#13063258C2×C411yescharacteristic
107C4⋊(C43⋊C8)C2311yescharacteristic
108C4⋊(C43⋊C8)C2311yescharacteristic
109Dic43⋊C8—21no—
110Dic43⋊C8—21no—
111Dic43⋊C8—21no—
112#13063247C2×C411yescharacteristic
113#13063247C2×C411yescharacteristic
114#13063246C2×C411yescharacteristic
115#13063246C2×C411yescharacteristic
116#13063245C2×C411yescharacteristic
117#13063245C2×C411yescharacteristic
118C22⋊(C43⋊C8)—21no—
119C22⋊(C43⋊C8)—21no—
120(C2×D43)⋊C8—21no—
121(C2×D43)⋊C8—21no—
122(C2×D43)⋊C8—21no—
123(C2×D43)⋊C8—21no—
124(C2×D43)⋊C8—21no—
125#13063235D411yescharacteristic
126#13063235D411yescharacteristic
127C4×C43⋊C8C2311yescharacteristic
128C4×C43⋊C8C2311yescharacteristic
129C4×C43⋊C8C2311yescharacteristic
130C8×Dic43C2×C411yescharacteristic
131C8×Dic43C2×C411yescharacteristic
132C2×D8×C43C2×C411yescharacteristic
133C2×M16×C43—21no—
134C22×C8×C43—21no—
135C4×D4×C43C2311yescharacteristic
136C4×D4×C43C2311yescharacteristic
137#107×C43C2×C411yescharacteristic
138C4⋊C8×C43C2311yescharacteristic
139C4⋊C8×C43C2311yescharacteristic
140#102×C43C2×C411yescharacteristic
141#102×C43C2×C411yescharacteristic
142C22⋊C8×C43—21no—
143C22⋊C8×C43—21no—
144C4×C8×C43C2311yescharacteristic
145C4×C8×C43C2311yescharacteristic
146C4×C8×C43C2311yescharacteristic
147C23×D43—21no—
148C23×D43—21no—
149C2×D4×C43C22×C411yescharacteristic
150C2×D4×C43C22×C411yescharacteristic
151C22×C4×C43—21no—
152C22×C4×C43—21no—
153C2×C22⋊D43—21no—
154C2×C22⋊D43—21no—
155C22×Dic43—21no—
156C22×Dic43—21no—
157D4×D43—22no—
158D4×D43—22no—
159D4×D43—41no—
160D4×D43—41no—
161C2×D172C22×C411yescharacteristic
162C2×D172C22×C411yescharacteristic
163C2×C4×D43—21no—
164C2×C4×D43—21no—
165C2×C4×D43—21no—
166C2×C4×D43—21no—
167C2×C4×D43—21no—
168C2×C4×D43—21no—
169C2×C4×D43—42no—
170C2×C4×D43—42no—
171C2×C4×D43—42no—
172C2×C4×D43—42no—
173C2×C4×D43C22×C411yescharacteristic
174C2×C4×D43C2×D411yescharacteristic
175C2×C4×D43#4111yescharacteristic
176D8×C43—22no—
177M16×C43—42no—
178C2×C8×C43—21no—
179C2×C8×C43—21no—
180C2×C8×C43—21no—
181C2×C8×C43—42no—
182C2×C8×C43C22×C411yescharacteristic
183C2×C8×C43C22×C411yescharacteristic
184C2×C8×C43C2×D411yescharacteristic
185C2×C8×C43C2×D411yescharacteristic
186C4⋊C4×C43C22×C411yescharacteristic
187C4⋊C4×C43C22×C411yescharacteristic
188C22⋊C4×C43—21no—
189C22⋊C4×C43—21no—
190C42×C43C2411yescharacteristic
191C22⋊Dic43—21no—
192C22⋊Dic43—21no—
193#10621882—22no—
194#10621882M1614yescomplemented
195(C2×D43)⋊C4—21no—
196(C2×D43)⋊C4—21no—
197(C2×D43)⋊C4—21no—
198(C2×D43)⋊C4—21no—
199C4⋊Dic43C22×C411yescharacteristic
200C4⋊Dic43C22×C411yescharacteristic
201Dic43⋊C4—21no—
202Dic43⋊C4—21no—
203C4×Dic43C22×C411yescharacteristic
204C4×Dic43C2×D411yescharacteristic
205C4×Dic43#4111yescharacteristic
206#10621877—42no—
207C2×C43⋊C8—21no—
208C2×C43⋊C8—21no—
209C2×C43⋊C8—21no—
210C2×C43⋊C8—42no—
211C2×C43⋊C8C22×C411yescharacteristic
212C2×C43⋊C8C22×C411yescharacteristic
213C2×C43⋊C8C2×D411yescharacteristic
214C2×C43⋊C8C2×D411yescharacteristic
215D344—22no—
216#10621872—22no—
217#10621872—42no—
218#10621872—42no—
219#10621872—42no—
220#10621872—42no—
221#10621872D814yescomplemented
222C8×D43—22no—
223C8×D43—41no—
224C8×D43—42no—
225C8×D43—42no—
226C23×C43—21no—
227C23×C43—21no—
228C22×D43—21no—
229C22×D43—21no—
230C22×D43—42no—
231C22×D43—42no—
232C22×D43—42no—
233C22×D43—42no—
234C22×D43—81no—
235C22×D43—81no—
236C22×D43C4×D411yescharacteristic
237D4×C43—21no—
238D4×C43—21no—
239D4×C43—21no—
240D4×C43C2×M1612yescomplemented
241C2×C4×C43—21no—
242C2×C4×C43—21no—
243C2×C4×C43—41no—
244C2×C4×C43—41no—
245C2×C4×C43—41no—
246C2×C4×C43—41no—
247C2×C4×C43C23×C411yescharacteristic
248C2×C4×C43C22×D411yescharacteristic
249C2×C4×C43C2×#4111yescharacteristic
250C22⋊D43—42no—
251C22⋊D43—42no—
252C2×Dic43—21no—
253C2×Dic43—21no—
254C2×Dic43—42no—
255C2×Dic43—42no—
256C2×Dic43C4×D411yescharacteristic
257C2×Dic43C4×D411yescharacteristic
258C2×Dic43C4×D411yescharacteristic
259D172—21no—
260D172—21no—
261D172—21no—
262D172C2×M1612yescomplemented
263C4×D43—21no—
264C4×D43—21no—
265C4×D43—41no—
266C4×D43—42no—
267C4×D43—42no—
268C4×D43—41no—
269C4×D43—41no—
270C4×D43—41no—
271C4×D43—41no—
272C4×D43—42no—
273C4×D43—42no—
274C4×D43C2×D812yes—
275C4×D43#13512yes—
276C8×C43—21no—
277C8×C43—21no—
278C8×C43—21no—
279C8×C43—41no—
280C8×C43—41no—
281C8×C43—41no—
282C8×C43C2×D812yescomplemented
283C43⋊C8—21no—
284C43⋊C8—21no—
285C43⋊C8—41no—
286C43⋊C8—41no—
287C43⋊C8—41no—
288C43⋊C8C2×M1612yescomplemented
289C43⋊C8C2×D812yescomplemented
290M16×D8—431nomaximal, Sylow
291C22×C43—22no—
292C22×C43—41no—
293C22×C43—41no—
294C22×C43—41no—
295C22×C43—41no—
296C22×C43—41no—
297C22×C43C2×C4×D411yescharacteristic
298C2×D43—21no—
299C2×D43—21no—
300C2×D43—22no—
301C2×D43—41no—
302C2×D43—41no—
303C2×D43—41no—
304C2×D43—41no—
305C2×D43—41no—
306C2×D43—84no—
307C2×D43—84no—
308C2×D43C4×D812yes—
309C4×C43—21no—
310C4×C43—41no—
311C4×C43—41no—
312C4×C43C22×M1611yescharacteristic
313C4×C43#56811yescharacteristic
314C4×C43C22×D811yescharacteristic
315C4×C43C2×#13511yescharacteristic
316Dic43—21no—
317Dic43—21no—
318Dic43—41no—
319Dic43—41no—
320Dic43C4×D812yes—
321C2×C4×D8—431no—
322D4×M16—431no—
323D4×M16—431no—
324#1589—431no—
325#1589—431no—
326#1581—431no—
327#1581—431no—
328#1581—431no—
329#1581D4311yescharacteristic, complemented
330C8×D8—431no—
331C8×D8—431no—
332#1567—431no—
333#1486—431no—
334#1486—431no—
335C8×M16—431no—
336C2×C43—42no—
337C2×C43—81no—
338C2×C43D4×M1611yescharacteristic
339C2×C43C2×C4×D811yescharacteristic
340C2×C43#295711yescharacteristic
341D43—22no—
342D43—42no—
343D43—81no—
344C22×D8—431no—
345C22×M16—861no—
346C22×M16—861no—
347C2×C4×D4—431no—
348C2×C4×D4—431no—
349C4×D8—431no—
350C4×D8—431no—
351C4×D8—431no—
352C4×D8—431no—
353C4×D8—431no—
354C4×D8—431no—
355C4×D8—431no—
356C4×D8C2×D4311yescharacteristic
357#436—431no—
358#436—431no—
359#436—431no—
360#436C2×D4311yescharacteristic, complemented
361#435—861no—
362#435—861no—
363#435—861no—
364#435—861no—
365C8×D4—431no—
366C8×D4—431no—
367C8×D4—431no—
368C8×D4C2×D4311yescharacteristic, complemented
369#431—431no—
370C2×#107—431no—
371#423—431no—
372#423—431no—
373C2×#102—431no—
374C2×#102—431no—
375#407—861no—
376#407—861no—
377C4×M16—431no—
378C2×C4×C8—431no—
379#335—431no—
380#335—431no—
381#335—431no—
382#335C2×D4311yescharacteristic, complemented
383D4⋊C8—431no—
384D4⋊C8—431no—
385D4⋊C8—431no—
386D4⋊C8—431no—
387D4⋊C8—431no—
388D4⋊C8—431no—
389D4⋊C8C2×D4311yescharacteristic, complemented
390D4⋊C8C2×D4311yescharacteristic, complemented
391#322—431no—
392#322C2×D4311yescharacteristic, complemented
393C82—431no—
394C82—431no—
395C43M16×D811yescharacteristic, complemented, Sylow
396C22×D4—431no—
397C22×D4—431no—
398C23×C4—861no—
399C23×C4—861no—
400C2×D8—431no—
401C2×D8—431no—
402C2×D8—431no—
403C2×D8—864no—
404C2×D8C4×D4311yescharacteristic
405C2×M16—21no—
406C2×M16—431no—
407C2×M16—431no—
408C2×M16—861no—
409C2×M16—861no—
410C2×M16—861no—
411C2×M16—861no—
412C2×M16—861no—
413C2×M16—1724no—
414C2×M16—1724no—
415C22×C8—21no—
416C22×C8—431no—
417C22×C8—431no—
418C22×C8—861no—
419C22×C8—861no—
420C22×C8—861no—
421C4×D4—431no—
422C4×D4—431no—
423C4×D4—431no—
424C4×D4—431no—
425C4×D4—431no—
426C4×D4—431no—
427C4×D4—861no—
428C4×D4—861no—
429C4×D4—861no—
430C4×D4—861no—
431C4×D4C22×D4311yescharacteristic
432C4×D4C22×D4311yescharacteristic
433C2×C4⋊C4—431no—
434C2×C4⋊C4—431no—
435C2×C22⋊C4—861no—
436C2×C22⋊C4—861no—
437C2×C42—431no—
438#107—431no—
439#107—431no—
440#107—431no—
441#107C4×D4311yescharacteristic
442C4⋊C8—431no—
443C4⋊C8—431no—
444C4⋊C8—861no—
445C4⋊C8—861no—
446C4⋊C8—861no—
447C4⋊C8C22×D4311yescharacteristic
448C4⋊C8C22×D4311yescharacteristic
449#102—431no—
450#102—431no—
451#102—431no—
452#102—431no—
453#102—431no—
454#102—431no—
455#102C4×D4311yescharacteristic
456#102C4×D4311yescharacteristic
457C22⋊C8—21no—
458C22⋊C8—21no—
459C22⋊C8—861no—
460C22⋊C8—861no—
461C22⋊C8—861no—
462C22⋊C8—861no—
463C22⋊C8—861no—
464C22⋊C8—861no—
465C22⋊C8—861no—
466#97—431no—
467#97—431no—
468C4×C8—431no—
469C4×C8—431no—
470C4×C8—431no—
471C4×C8—431no—
472C4×C8—431no—
473C4×C8C22×D4311yescharacteristic
474C4×C8C22×D4311yescharacteristic
475C4×C8C22×D4311yescharacteristic
476C24—861no—
477C24—861no—
478C2×D4—431no—
479C2×D4—431no—
480C2×D4—861no—
481C2×D4—861no—
482C2×D4—862no—
483C2×D4—862no—
484C2×D4—1721no—
485C2×D4—1721no—
486C2×D4C2×C4×D4311yescharacteristic
487C2×D4C2×C4×D4311yescharacteristic
488C22×C4—21no—
489C22×C4—21no—
490C22×C4—431no—
491C22×C4—431no—
492C22×C4—431no—
493C22×C4—861no—
494C22×C4—861no—
495C22×C4—861no—
496C22×C4—861no—
497C22×C4—861no—
498C22×C4—861no—
499C22×C4—861no—
500C22×C4—861no—
501C22×C4—1722no—
502C22×C4—1722no—
503C22×C4—1722no—
504C22×C4—1722no—
505D8—22no—
506D8—434no—
507D8—862no—
508D8—862no—
509M16—42no—
510M16—434no—
511M16—862no—
512M16—1722no—
513M16—1722no—
514M16—1722no—
515M16—1722no—
516M16—1722no—
517C2×C8—21no—
518C2×C8—21no—
519C2×C8—21no—
520C2×C8—42no—
521C2×C8—431no—
522C2×C8—431no—
523C2×C8—431no—
524C2×C8—431no—
525C2×C8—862no—
526C2×C8—861no—
527C2×C8—861no—
528C2×C8—861no—
529C2×C8—1721no—
530C2×C8—1722no—
531C2×C8—1722no—
532C2×C8—1722no—
533C2×C8C2×C4×D4311yescharacteristic
534C2×C8C2×C4×D4311yescharacteristic
535C2×C8D4×D4311yescharacteristic
536C2×C8D4×D4311yescharacteristic
537C4⋊C4—431no—
538C4⋊C4—431no—
539C4⋊C4—861no—
540C4⋊C4—861no—
541C4⋊C4C2×C4×D4311yescharacteristic
542C4⋊C4C2×C4×D4311yescharacteristic
543C22⋊C4—21no—
544C22⋊C4—21no—
545C22⋊C4—861no—
546C22⋊C4—861no—
547C22⋊C4—861no—
548C22⋊C4—861no—
549C22⋊C4—861no—
550C22⋊C4—861no—
551C42—431no—
552C42—431no—
553C42—431no—
554C42C23×D4311yescharacteristic
555C23—21no—
556C23—21no—
557C23—431no—
558C23—861no—
559C23—861no—
560C23—3441no—
561C23—3441no—
562C23—1722no—
563C23—1722no—
564C23—1722no—
565C23—1722no—
566D4—21no—
567D4—21no—
568D4—21no—
569D4—432no—
570D4—861no—
571D4—861no—
572D4—861no—
573D4—1722no—
574D4—1722no—
575D4M16×D4312yescomplemented
576C2×C4—21no—
577C2×C4—21no—
578C2×C4—41no—
579C2×C4—41no—
580C2×C4—41no—
581C2×C4—41no—
582C2×C4—431no—
583C2×C4—432no—
584C2×C4—432no—
585C2×C4—431no—
586C2×C4—431no—
587C2×C4—861no—
588C2×C4—861no—
589C2×C4—861no—
590C2×C4—861no—
591C2×C4—1721no—
592C2×C4—1722no—
593C2×C4—1722no—
594C2×C4—1722no—
595C2×C4—1722no—
596C2×C4—1722no—
597C2×C4—1722no—
598C2×C4—1721no—
599C2×C4—1721no—
600C2×C4—1721no—
601C2×C4—1721no—
602C2×C4C22×C4×D4311yescharacteristic
603C2×C4C2×D4×D4311yescharacteristic
604C2×C4#41×D4311yescharacteristic
605C8—21no—
606C8—21no—
607C8—21no—
608C8—41no—
609C8—41no—
610C8—41no—
611C8—432no—
612C8—432no—
613C8—861no—
614C8—861no—
615C8—1721no—
616C8—1721no—
617C8—1721no—
618C8D8×D4312yescomplemented
619C22—22no—
620C22—41no—
621C22—41no—
622C22—41no—
623C22—41no—
624C22—41no—
625C22—432no—
626C22—861no—
627C22—861no—
628C22—862no—
629C22—3444no—
630C22—3444no—
631C22—1721no—
632C22—1721no—
633C22—1721no—
634C22—1721no—
635C22—1721no—
636C22C4×D4×D4311yescharacteristic
637C4—21no—
638C4—41no—
639C4—41no—
640C4—432no—
641C4—861no—
642C4—861no—
643C4—1721no—
644C4—1721no—
645C4C2×M16×D4311yescharacteristic
646C4#1458366411yescharacteristic
647C4C2×D8×D4311yescharacteristic
648C4#135×D4311yescharacteristic
649C2—42no—
650C2—81no—
651C2—862no—
652C2—3441no—
653C2—1722no—
654C2#1914332811yescharacteristic
655C2C4×D8×D4311yescharacteristic
656C2#1914350911yescharacteristic
subgroupG/H
centerC2×C4C2×D4×D43
commutatorC2×C4×C43C23×C4
FrattiniC42C23×D43
FittingC43×#1581C2
socleC22×C43C2×C4×D4
prime radicalC2×D8×D43C4
cosocleC42×C43C24
hypercenter#1581D43
hypocenterC43M16×D8
LCSG ▷ C2×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C2×C4 ◁ C4×C8 ◁ #1581

Complements

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

NH ≅ G/Ntype
2. #19143331C2semidirect
3. D4×#10621872C2semidirect
4. #19133478C2semidirect
5. #19133477C2semidirect
6. #19133426C2semidirect
7. #19133425C2semidirect
8. #19133423C2semidirect
9. C8×#10621882C2semidirect
10. #19133387C2semidirect
11. #19133352C2semidirect
12. #19133018C2semidirect
13. #19133018C2semidirect
14. #19132874C2semidirect
15. C43×#1581C2semidirect
28. #14582978C22semidirect
29. #14582977C22semidirect
30. #14582976C22semidirect
35. C8×D172C22semidirect
36. D4×C43⋊C8C22semidirect
37. #14582964C22semidirect
48. #14582652C22semidirect
49. #14582651C22semidirect
50. #14582651C22semidirect
51. #14582628C22semidirect
52. #14582628C22semidirect
53. D4⋊(C43⋊C8)C22semidirect
54. D4⋊(C43⋊C8)C22semidirect
55. #14582626C22semidirect
56. #14582626C22semidirect
57. #14582621C22semidirect
58. C8×C43⋊C8C22semidirect
59. C8×C43⋊C8C22semidirect
61. C43×#436C22semidirect
62. C8×D4×C43C22semidirect
63. C43×#335C22semidirect
64. C43×D4⋊C8C22semidirect
65. C43×D4⋊C8C22semidirect
66. C43×#322C22semidirect
194. #10621882M16semidirect
221. #10621872D8semidirect
240. D4×C43C2×M16semidirect
262. D172C2×M16semidirect
282. C8×C43C2×D8semidirect
288. C43⋊C8C2×M16semidirect
289. C43⋊C8C2×D8semidirect
329. #1581D43semidirect
360. #436C2×D43semidirect
368. C8×D4C2×D43semidirect
382. #335C2×D43semidirect
389. D4⋊C8C2×D43semidirect
390. D4⋊C8C2×D43semidirect
392. #322C2×D43semidirect
395. C43M16×D8semidirect
575. D4M16×D43semidirect
618. C8D8×D43semidirect

Maximal subgroups

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

subgroupindex
C4×D8×D432
#191433312
D4×#106218722
#191334782
#191334772
#191334262
#191334252
#191334232
C8×#106218822
#191333872
#191333522
#191330182
#191328742
C43×#15812
M16×D843