Finite Group Databasebeta

← #25156630

Subgroups — #25156630

Order 11008.

986 conjugacy classes of subgroups.

The subgroup lattice has 732 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×D8×Dic43C211yesmaximal, characteristic, complemented
2#19138356C211yesmaximal, characteristic, complemented
3#19137500C211yesmaximal, characteristic, complemented
4#19136114C211yesmaximal, characteristic, complemented
5#19136088C211yesmaximal, characteristic, complemented
6#19136011C211yesmaximal, characteristic, complemented
7#19135826C211yesmaximal, characteristic, complemented
8#19135275C211yesmaximal, characteristic, complemented
9#19135149C211yesmaximal, characteristic, complemented
10#19134945C211yesmaximal, characteristic, complemented
11#19134945C211yesmaximal, characteristic, complemented
12#19134945C211yesmaximal, characteristic, complemented
13#19134856C211yesmaximal, characteristic, complemented
14#19134854C211yesmaximal, characteristic, complemented
15C2×C43×#459C211yesmaximal, characteristic
16C2×#13063306—21no—
17C2×D4×Dic43C2211yescharacteristic
18C2×D4×Dic43C2211yescharacteristic
19C2×D4×Dic43C2211yescharacteristic
20D8×Dic43—24no—
21C2×#13063259C2211yescharacteristic
22C2×#13063256C2211yescharacteristic
23C2×#13063246C2211yescharacteristic
24C2×#13063246C2211yescharacteristic
25C2×#13063246C2211yescharacteristic
26C2×#13063246C2211yescharacteristic
27C2×#13063246C2211yescharacteristic
28C2×#13063246C2211yescharacteristic
29C2×C8×Dic43C2211yescharacteristic
30#14582813—21no—
31#14582813—21no—
32#14582802C2211yescharacteristic
33#14582802C2211yescharacteristic
34#14582802C2211yescharacteristic
35#14582797C2211yescharacteristic
36#14582797C2211yescharacteristic
37#14582795C2211yescharacteristic
38#14582779—21no—
39#14582772—21no—
40#14582771—21no—
41#14582764C2211yescharacteristic
42#14582757—21no—
43C4×Dic43⋊C4C2211yescharacteristic
44C2×C43⋊#95—21no—
45#14582662C2211yescharacteristic
46#14582662C2211yescharacteristic
47#14582662C2211yescharacteristic
48#14582661C2211yescharacteristic
49#14582654C2211yescharacteristic
50#14582653C2211yescharacteristic
51#14582653C2211yescharacteristic
52#14582653C2211yescharacteristic
53C22×D8×C43C2211yescharacteristic
54C22×D8×C43C2211yescharacteristic
55C2×#127×C43C2211yescharacteristic
56C2×C4×D4×C43C2211yescharacteristic
57C43×#459—24no—
58C2×C4⋊C8×C43C2211yescharacteristic
59C2×#102×C43C2211yescharacteristic
60C2×#102×C43C2211yescharacteristic
61C23×Dic43—21no—
62C23×Dic43—21no—
63C23×Dic43—21no—
64C22×C43⋊C8C2311yescharacteristic
65C22×C43⋊C8C2311yescharacteristic
66#13063306—44no—
67D4×Dic43—22no—
68D4×Dic43—22no—
69D4×Dic43—22no—
70D4×Dic43—22no—
71D4×Dic43—41no—
72D4×Dic43—41no—
73C2×C4⋊Dic43C2311yescharacteristic
74C2×C4⋊Dic43C2311yescharacteristic
75C2×C4⋊Dic43C2311yescharacteristic
76C2×C4⋊Dic43C2311yescharacteristic
77C2×Dic43⋊C4—21no—
78C2×Dic43⋊C4—21no—
79C2×Dic43⋊C4—21no—
80C2×Dic43⋊C4D411yescharacteristic
81C2×Dic43⋊C4D411yescharacteristic
82C2×C22⋊Dic43—21no—
83C2×C22⋊Dic43—21no—
84C2×C22⋊Dic43—21no—
85C2×C22⋊Dic43—21no—
86C2×C22⋊Dic43—21no—
87C2×C22⋊Dic43—21no—
88C2×C22⋊Dic43—21no—
89C2×C22⋊Dic43—21no—
90C2×C22⋊Dic43—21no—
91C2×C4×Dic43C2311yescharacteristic
92C2×C4×Dic43C2311yescharacteristic
93#13063259—22no—
94#13063256—41no—
95#13063246—22no—
96#13063246—22no—
97#13063246—22no—
98#13063246—22no—
99#13063246—22no—
100#13063246—41no—
101C8×Dic43—22no—
102C43⋊#95—21no—
103C43⋊#95—21no—
104C43⋊#95—21no—
105C43⋊#95—21no—
106C43⋊#95—21no—
107C43⋊#95D411yescharacteristic
108C43⋊#95D411yescharacteristic
109C22×D4×C43—21no—
110C22×D4×C43—21no—
111C22×D4×C43C2311yescharacteristic
112C22×D4×C43C2311yescharacteristic
113C22×D4×C43C2311yescharacteristic
114C23×C4×C43—21no—
115C2×D8×C43—22no—
116C2×D8×C43—22no—
117C2×D8×C43—22no—
118C2×D8×C43—22no—
119C2×D8×C43—22no—
120C2×D8×C43D414yes—
121C22×C8×C43C2311yescharacteristic
122C22×C8×C43C2311yescharacteristic
123#127×C43—22no—
124#127×C43—41no—
125C4×D4×C43—22no—
126C4×D4×C43—41no—
127C2×C4⋊C4×C43C2311yescharacteristic
128C2×C22⋊C4×C43—21no—
129C2×C42×C43C2311yescharacteristic
130C4⋊C8×C43—22no—
131#102×C43—22no—
132#102×C43—22no—
133C24×C43—21no—
134C24×C43—21no—
135C24×C43—21no—
136C2×D4×C43—21no—
137C2×D4×C43—21no—
138C2×D4×C43—21no—
139C2×D4×C43—21no—
140C2×D4×C43—21no—
141C2×D4×C43—21no—
142C2×D4×C43—21no—
143C2×D4×C43—21no—
144C2×D4×C43—21no—
145C2×D4×C43—21no—
146C2×D4×C43—21no—
147C2×D4×C43—21no—
148C2×D4×C43—21no—
149C2×D4×C43—21no—
150C2×D4×C43—42no—
151C2×D4×C43—42no—
152C2×D4×C43—42no—
153C2×D4×C43—42no—
154C2×D4×C43—81no—
155C2×D4×C43—81no—
156C2×D4×C43C2×D412yes—
157C2×D4×C43C2×D412yes—
158C2×D4×C43#4112yes—
159C2×D4×C43#4112yes—
160C22×C4×C43—21no—
161C22×C4×C43—42no—
162C22×C4×C43—42no—
163C22×C4×C43—81no—
164C22×C4×C43C2×D411yescharacteristic
165C22×C4×C43C2×D411yescharacteristic
166C22×C4×C43C2411yescharacteristic
167C22×Dic43—24no—
168C22×Dic43—21no—
169C22×Dic43—21no—
170C22×Dic43—21no—
171C22×Dic43—21no—
172C22×Dic43—42no—
173C22×Dic43—42no—
174C22×Dic43—42no—
175C22×Dic43—42no—
176C22×Dic43—81no—
177C22×Dic43—81no—
178C22×Dic43—81no—
179C22×Dic43—81no—
180C22×Dic43C2×D411yescharacteristic
181C22×Dic43C2×D411yescharacteristic
182C22×Dic43C2×D411yescharacteristic
183C22×Dic43C2×D411yescharacteristic
184D8×C43—28no—
185D8×C43—44no—
186C2×C8×C43—21no—
187C2×C8×C43—21no—
188C2×C8×C43—21no—
189C2×C8×C43—21no—
190C2×C8×C43—21no—
191C2×C8×C43C2×D412yes—
192C4⋊C4×C43—21no—
193C4⋊C4×C43—21no—
194C22⋊C4×C43—42no—
195C42×C43—21no—
196C42×C43—21no—
197C22⋊Dic43—24no—
198C22⋊Dic43—42no—
199C22⋊Dic43—42no—
200C22⋊Dic43—42no—
201C22⋊Dic43—42no—
202C22⋊Dic43—42no—
203C22⋊Dic43—81no—
204C22⋊Dic43—81no—
205C22⋊Dic43—81no—
206C4⋊Dic43—21no—
207C4⋊Dic43—21no—
208C4⋊Dic43—21no—
209C4⋊Dic43—21no—
210C4⋊Dic43—21no—
211C4⋊Dic43—21no—
212C4⋊Dic43—21no—
213C4⋊Dic43#4112yes—
214Dic43⋊C4—22no—
215Dic43⋊C4—22no—
216Dic43⋊C4—42no—
217Dic43⋊C4—81no—
218Dic43⋊C4—81no—
219C4×Dic43—21no—
220C4×Dic43—21no—
221C4×Dic43—21no—
222C4×Dic43—21no—
223C2×C43⋊C8—21no—
224C2×C43⋊C8—21no—
225C2×C43⋊C8—21no—
226C2×C43⋊C8—21no—
227C2×C43⋊C8—21no—
228C2×C43⋊C8—21no—
229C23×C43—22no—
230C23×C43—22no—
231C23×C43—22no—
232C23×C43—22no—
233C23×C43—41no—
234C23×C43—41no—
235C23×C43—41no—
236C23×C43—41no—
237C23×C43—41no—
238C23×C43—41no—
239C23×C43—41no—
240C23×C43—41no—
241C23×C43—41no—
242C23×C43—41no—
243C23×C43—41no—
244C23×C43—41no—
245C23×C43—41no—
246C23×C43—41no—
247C23×C43—41no—
248C23×C43—41no—
249C23×C43—41no—
250C23×C43C22×D411yescharacteristic
251D4×C43—22no—
252D4×C43—22no—
253D4×C43—22no—
254D4×C43—22no—
255D4×C43—22no—
256D4×C43—41no—
257D4×C43—41no—
258D4×C43—41no—
259D4×C43—41no—
260D4×C43—41no—
261D4×C43—41no—
262D4×C43—84no—
263D4×C43—84no—
264D4×C43#12314yescomplemented
265C2×C4×C43—21no—
266C2×C4×C43—21no—
267C2×C4×C43—21no—
268C2×C4×C43—21no—
269C2×C4×C43—21no—
270C2×C4×C43—41no—
271C2×C4×C43—41no—
272C2×C4×C43—41no—
273C2×C4×C43—84no—
274C2×C4×C43#13512yes—
275C2×C4×C43C22×D411yescharacteristic
276C2×C4×C43C2×#4111yescharacteristic
277C2×C4×C43C2×#4111yescharacteristic
278C2×C4×C43C2×#4111yescharacteristic
279C2×C4×C43H(5,𝔽2)11yescharacteristic
280C2×C4×C432−1+411yescharacteristic
281C2×Dic43—21no—
282C2×Dic43—21no—
283C2×Dic43—21no—
284C2×Dic43—21no—
285C2×Dic43—22no—
286C2×Dic43—21no—
287C2×Dic43—21no—
288C2×Dic43—21no—
289C2×Dic43—21no—
290C2×Dic43—21no—
291C2×Dic43—21no—
292C2×Dic43—21no—
293C2×Dic43—41no—
294C2×Dic43—41no—
295C2×Dic43—41no—
296C2×Dic43—41no—
297C2×Dic43—41no—
298C2×Dic43—41no—
299C2×Dic43—41no—
300C2×Dic43—41no—
301C2×Dic43—41no—
302C2×Dic43—41no—
303C2×Dic43—41no—
304C2×Dic43—84no—
305C2×Dic43—84no—
306C2×Dic43—84no—
307C2×Dic43AGL(1,ℤ/8)12yes—
308C8×C43—22no—
309C8×C43—41no—
310C43⋊C8—41no—
311C43⋊C8—41no—
312#26162—431nomaximal, Sylow
313C22×C43—24no—
314C22×C43—42no—
315C22×C43—42no—
316C22×C43—42no—
317C22×C43—42no—
318C22×C43—42no—
319C22×C43—42no—
320C22×C43—42no—
321C22×C43—42no—
322C22×C43—42no—
323C22×C43—81no—
324C22×C43—81no—
325C22×C43—81no—
326C22×C43—81no—
327C22×C43—81no—
328C22×C43—81no—
329C22×C43—81no—
330C22×C43—81no—
331C22×C43—81no—
332C22×C43—81no—
333C22×C43—81no—
334C22×C43#52511yescharacteristic
335C22×C43D4211yescharacteristic
336C22×C43#54811yescharacteristic
337C22×C43C2×#13511yescharacteristic
338C22×C43C2×AGL(1,ℤ/8)11yescharacteristic
339C22×C43#57611yescharacteristic
340C22×C43#57611yescharacteristic
341C4×C43—22no—
342C4×C43—41no—
343C4×C43—81no—
344C4×C43C2×#12311yescharacteristic
345C4×C43#53911yescharacteristic
346C4×C43#54711yescharacteristic
347C4×C43#55311yescharacteristic
348Dic43—22no—
349Dic43—41no—
350Dic43—41no—
351Dic43—42no—
352Dic43—41no—
353Dic43—81no—
354Dic43—81no—
355Dic43—81no—
356C2×#459D4311yescharacteristic
357C2×C4×D8—431no—
358#2445—431no—
359#2349—431no—
360#2092—431no—
361#2087—431no—
362#2073—431no—
363#2041—431no—
364#1934—431no—
365#1916—431no—
366#1879—431no—
367#1879—431no—
368#1879—431no—
369#1864—431no—
370#1864—431no—
371C2×C43—44no—
372C2×C43—82no—
373C2×C43—161no—
374C2×C43#244311yescharacteristic
375C2×C43#310611yescharacteristic
376C2×C43#312211yescharacteristic
377C2×C43#326411yescharacteristic
378C2×C43#328011yescharacteristic
379C2×C43#336111yescharacteristic
380C2×C43#336611yescharacteristic
381C22×D8C2×D4311yescharacteristic
382C22×D8C2×D4311yescharacteristic
383C2×#127C2×D4311yescharacteristic
384C2×#123—861no—
385C2×C4×D4—431no—
386C2×C4×D4—431no—
387C2×C4×D4—431no—
388C2×C4×D4C2×D4311yescharacteristic
389#459—24no—
390C4×D8—864no—
391C2×#107—431no—
392C2×#106—431no—
393C2×C4⋊C8C2×D4311yescharacteristic
394C2×#102—431no—
395C2×#102—431no—
396C2×#102—431no—
397C2×#102—431no—
398C2×#102—431no—
399C2×#102—431no—
400C2×#102C2×D4311yescharacteristic
401C2×#102C2×D4311yescharacteristic
402C2×C4×C8—431no—
403#394—861no—
404#394—861no—
405#390—431no—
406#390—431no—
407#390—431no—
408#389—431no—
409#389—431no—
410#389—431no—
411#386—861no—
412#385—861no—
413#385—861no—
414#382—431no—
415#380—861no—
416C4×C4⋊C4—431no—
417C2×#95—861no—
418#340—431no—
419#340—431no—
420#340—431no—
421#340—431no—
422#336—431no—
423#336—431no—
424#336—431no—
425#336—431no—
426C43#2616211yescharacteristic, complemented, Sylow
427C22×D4—21no—
428C22×D4—21no—
429C22×D4C22×D4311yescharacteristic
430C22×D4C22×D4311yescharacteristic
431C22×D4C22×D4311yescharacteristic
432C23×C4—21no—
433C23×C4—861no—
434C23×C4—861no—
435C23×C4—861no—
436C2×D8—22no—
437C2×D8—22no—
438C2×D8—22no—
439C2×D8—22no—
440C2×D8—22no—
441C2×D8C22⋊D4314yes—
442C22×C8—431no—
443C22×C8—431no—
444C22×C8C22×D4311yescharacteristic
445C22×C8C22×D4311yescharacteristic
446#127—22no—
447#127—41no—
448#123—1724no—
449C4×D4—22no—
450C4×D4—41no—
451C4×D4—862no—
452C4×D4—862no—
453C4×D4—862no—
454C4×D4—862no—
455C4×D4—1721no—
456C4×D4—1721no—
457C2×C4⋊C4—431no—
458C2×C4⋊C4—431no—
459C2×C4⋊C4—431no—
460C2×C4⋊C4—431no—
461C2×C4⋊C4—431no—
462C2×C4⋊C4—431no—
463C2×C4⋊C4—861no—
464C2×C4⋊C4—861no—
465C2×C4⋊C4—861no—
466C2×C4⋊C4C22×D4311yescharacteristic
467C2×C22⋊C4—21no—
468C2×C22⋊C4—861no—
469C2×C22⋊C4—861no—
470C2×C22⋊C4—861no—
471C2×C22⋊C4—861no—
472C2×C22⋊C4—861no—
473C2×C22⋊C4—861no—
474C2×C22⋊C4—861no—
475C2×C22⋊C4—861no—
476C2×C22⋊C4—861no—
477C2×C42—431no—
478C2×C42—431no—
479C2×C42C22×D4311yescharacteristic
480#107—862no—
481#106—1721no—
482C4⋊C8—22no—
483#102—22no—
484#102—22no—
485#102—862no—
486#102—862no—
487#102—862no—
488#102—862no—
489#102—862no—
490#102—1721no—
491C4×C8—862no—
492#95—431no—
493#95—431no—
494#95—861no—
495#95—861no—
496#95—861no—
497#95—861no—
498#95—861no—
499C24—21no—
500C24—21no—
501C24—21no—
502C2×D4—21no—
503C2×D4—21no—
504C2×D4—21no—
505C2×D4—21no—
506C2×D4—21no—
507C2×D4—21no—
508C2×D4—21no—
509C2×D4—21no—
510C2×D4—21no—
511C2×D4—21no—
512C2×D4—21no—
513C2×D4—21no—
514C2×D4—21no—
515C2×D4—21no—
516C2×D4—42no—
517C2×D4—42no—
518C2×D4—42no—
519C2×D4—42no—
520C2×D4—81no—
521C2×D4—81no—
522C2×D4#1062190012yes—
523C2×D4#1062190012yes—
524C2×D4C2×C22⋊D4312yes—
525C2×D4C2×C22⋊D4312yes—
526C22×C4—21no—
527C22×C4—42no—
528C22×C4—42no—
529C22×C4—81no—
530C22×C4—431no—
531C22×C4—431no—
532C22×C4—431no—
533C22×C4—431no—
534C22×C4—864no—
535C22×C4—861no—
536C22×C4—861no—
537C22×C4—861no—
538C22×C4—861no—
539C22×C4—3441no—
540C22×C4—3441no—
541C22×C4—3441no—
542C22×C4—3441no—
543C22×C4—1722no—
544C22×C4—1722no—
545C22×C4—1722no—
546C22×C4—1722no—
547C22×C4D4×D4311yescharacteristic
548C22×C4D4×D4311yescharacteristic
549C22×C4C23×D4311yescharacteristic
550D8—28no—
551D8—44no—
552C2×C8—21no—
553C2×C8—21no—
554C2×C8—21no—
555C2×C8—21no—
556C2×C8—21no—
557C2×C8—861no—
558C2×C8—861no—
559C2×C8—861no—
560C2×C8—861no—
561C2×C8—861no—
562C2×C8—861no—
563C2×C8C2×C22⋊D4312yes—
564C4⋊C4—21no—
565C4⋊C4—21no—
566C4⋊C4—432no—
567C4⋊C4—862no—
568C4⋊C4—862no—
569C4⋊C4—861no—
570C4⋊C4—861no—
571C4⋊C4—861no—
572C4⋊C4—861no—
573C4⋊C4—861no—
574C4⋊C4—861no—
575C4⋊C4—861no—
576C4⋊C4—3441no—
577C4⋊C4—3441no—
578C4⋊C4—1722no—
579C22⋊C4—42no—
580C22⋊C4—864no—
581C22⋊C4—3441no—
582C22⋊C4—3441no—
583C22⋊C4—3441no—
584C22⋊C4—1722no—
585C22⋊C4—1722no—
586C22⋊C4—1722no—
587C22⋊C4—1722no—
588C22⋊C4—1722no—
589C42—21no—
590C42—21no—
591C42—861no—
592C42—861no—
593C42—861no—
594C42—861no—
595C23—22no—
596C23—22no—
597C23—22no—
598C23—22no—
599C23—41no—
600C23—41no—
601C23—41no—
602C23—41no—
603C23—41no—
604C23—41no—
605C23—41no—
606C23—41no—
607C23—41no—
608C23—41no—
609C23—41no—
610C23—41no—
611C23—41no—
612C23—41no—
613C23—41no—
614C23—41no—
615C23—41no—
616C23C2×D4×D4311yescharacteristic
617D4—22no—
618D4—22no—
619D4—22no—
620D4—22no—
621D4—22no—
622D4—41no—
623D4—41no—
624D4—41no—
625D4—41no—
626D4—41no—
627D4—41no—
628D4—84no—
629D4—84no—
630D4#1306330614yescomplemented
631C2×C4—21no—
632C2×C4—21no—
633C2×C4—21no—
634C2×C4—21no—
635C2×C4—21no—
636C2×C4—41no—
637C2×C4—41no—
638C2×C4—41no—
639C2×C4—84no—
640C2×C4—432no—
641C2×C4—861no—
642C2×C4—861no—
643C2×C4—861no—
644C2×C4—861no—
645C2×C4—862no—
646C2×C4—861no—
647C2×C4—861no—
648C2×C4—861no—
649C2×C4—861no—
650C2×C4—861no—
651C2×C4—861no—
652C2×C4—861no—
653C2×C4—3444no—
654C2×C4—3444no—
655C2×C4—3444no—
656C2×C4—1721no—
657C2×C4—1721no—
658C2×C4—1721no—
659C2×C4—1721no—
660C2×C4—1721no—
661C2×C4—1721no—
662C2×C4—1721no—
663C2×C4—1721no—
664C2×C4—1721no—
665C2×C4—1721no—
666C2×C4—1721no—
667C2×C4#1306334412yes—
668C2×C4C22×C22⋊D4311yescharacteristic
669C2×C4#41×D4311yescharacteristic
670C2×C4C2×#1062190011yescharacteristic
671C2×C4C2×#1062190011yescharacteristic
672C2×C4#1306337011yescharacteristic
673C2×C4#1306337211yescharacteristic
674C8—22no—
675C8—41no—
676C8—1721no—
677C8—1721no—
678C22—24no—
679C22—42no—
680C22—42no—
681C22—42no—
682C22—42no—
683C22—42no—
684C22—42no—
685C22—42no—
686C22—42no—
687C22—42no—
688C22—81no—
689C22—81no—
690C22—81no—
691C22—81no—
692C22—81no—
693C22—81no—
694C22—81no—
695C22—81no—
696C22—81no—
697C22—81no—
698C22—81no—
699C22#1458340911yescharacteristic
700C22D4×C22⋊D4311yescharacteristic
701C22#1458355511yescharacteristic
702C22C2×#1306334411yescharacteristic
703C22AGL(1,ℤ/8)×D4311yescharacteristic
704C22#1458370011yescharacteristic
705C22#1458370311yescharacteristic
706C4—22no—
707C4—41no—
708C4—81no—
709C4—862no—
710C4—3441no—
711C4—3441no—
712C4—3441no—
713C4—1721no—
714C4—1721no—
715C4—1722no—
716C4—1721no—
717C4C2×#1306330611yescharacteristic
718C4#1458349411yescharacteristic
719C4#1458354811yescharacteristic
720C4#1458359211yescharacteristic
721C2—44no—
722C2—82no—
723C2—161no—
724C2#1913832611yescharacteristic
725C2#1914465211yescharacteristic
726C2#1914483611yescharacteristic
727C2#1914606911yescharacteristic
728C2#1914628011yescharacteristic
729C2#1914725911yescharacteristic
730C2#1914729711yescharacteristic
subgroupG/H
centerC23C2×D4×D43
commutator, cosocleC22×C4×C43C24
FrattiniC22×C4C23×D43
Fitting, prime radicalC2×C43×#459C2
socleC23×C43C22×D4
hypercenterC2×#459D43
hypocenterC43#26162
LCSG ▷ C22×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C23 ◁ C2×C42 ◁ C2×#459

Complements

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

NH ≅ G/Ntype
1. C2×D8×Dic43C2semidirect
2. #19138356C2semidirect
3. #19137500C2semidirect
4. #19136114C2semidirect
5. #19136088C2semidirect
6. #19136011C2semidirect
7. #19135826C2semidirect
8. #19135275C2semidirect
9. #19135149C2semidirect
10. #19134945C2semidirect
11. #19134945C2semidirect
12. #19134945C2semidirect
13. #19134856C2semidirect
14. #19134854C2semidirect
264. D4×C43#123semidirect
426. C43#26162semidirect
630. D4#13063306semidirect

Maximal subgroups

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

subgroupindex
C2×D8×Dic432
#191383562
#191375002
#191361142
#191360882
#191360112
#191358262
#191352752
#191351492
#191349452
#191348562
#191348542
C2×C43×#4592
#2616243