Finite Group Databasebeta

← #209256

Subgroups — #209256

Order 512.

1285 conjugacy classes of subgroups.

The subgroup lattice has 742 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×D4×M16C211yesmaximal, characteristic, complemented
2#21488C211yesmaximal, characteristic, complemented
3C4×#447C211yesmaximal, characteristic
4C2×#1589C211yesmaximal, characteristic, complemented
5C2×#1581C211yesmaximal, characteristic, complemented
6#8951C211yesmaximal, characteristic, complemented
7#8947C211yesmaximal, characteristic, complemented
8#8944C211yesmaximal, characteristic, complemented
9#8847C211yesmaximal, characteristic, complemented
10#8843C211yesmaximal, characteristic, complemented
11#8832C211yesmaximal, characteristic, complemented
12#8310C211yesmaximal, characteristic, complemented
13#8210C211yesmaximal, characteristic, complemented
14C8×#102C211yesmaximal, characteristic, complemented
15#8146C211yesmaximal, characteristic, complemented
16C23×M16—21no—
17C22×C4×D4C2211yescharacteristic
18C2×#447C411yescharacteristic
19C2×C4×D8C2211yescharacteristic
20C2×C4×D8C2211yescharacteristic
21D4×M16—24no—
22D4×M16—24no—
23C2×#436—21no—
24C2×#436C2211yescharacteristic
25C2×#436C2211yescharacteristic
26C2×#436C2211yescharacteristic, complemented
27C2×#435—21no—
28C2×#435—21no—
29C2×C8×D4C2211yescharacteristic
30C2×C8×D4C2211yescharacteristic
31C2×#423C2211yescharacteristic
32C2×#407—21no—
33C2×C4×M16C2211yescharacteristic
34C4×#121C2211yescharacteristic
35#1954C2211yescharacteristic, complemented
36#1939C2211yescharacteristic, complemented
37#1924—21no—
38#1879C411yescharacteristic
39#1879C411yescharacteristic
40#1874C411yescharacteristic
41#1870—21no—
42#1862C411yescharacteristic
43#1862C411yescharacteristic
44#1852C411yescharacteristic
45#1797C2211yescharacteristic
46#1786C411yescharacteristic
47C8×C4⋊C4C2211yescharacteristic, complemented
48C4×#102C2211yescharacteristic
49C4×#102C2211yescharacteristic
50#1753—21no—
51C4×C22⋊C8C2211yescharacteristic
52C4×C22⋊C8C2211yescharacteristic
53#1589—24no—
54#1581—24no—
55C2×#335C2211yescharacteristic, complemented
56C2×#335C2211yescharacteristic, complemented
57C2×D4⋊C8C2211yescharacteristic
58C2×D4⋊C8C2211yescharacteristic
59C2×D4⋊C8C2211yescharacteristic
60C2×D4⋊C8C2211yescharacteristic
61C2×D4⋊C8C2211yescharacteristic, complemented
62C2×D4⋊C8C2211yescharacteristic, complemented
63C2×#322C2211yescharacteristic, complemented
64C2×C82C2211yescharacteristic, complemented
65#1279C2211yescharacteristic, complemented
66#1279C2211yescharacteristic, complemented
67#1277C2211yescharacteristic, complemented
68#1277C2211yescharacteristic, complemented
69#1273C2211yescharacteristic, complemented
70#1273C2211yescharacteristic, complemented
71C23×D4C2×C411yescharacteristic
72C24×C4—21no—
73C22×D8C2×C411yescharacteristic
74C22×D8C2×C411yescharacteristic
75C22×M16—28no—
76C22×M16—21no—
77C22×M16—21no—
78C22×M16—21no—
79C22×M16—21no—
80C22×M16—44no—
81C22×M16—44no—
82C22×M16D411yescharacteristic
83C22×M16D411yescharacteristic
84C23×C8—21no—
85C23×C8—21no—
86C2×#121C2×C411yescharacteristic
87C2×C4×D4—22no—
88C2×C4×D4—22no—
89C2×C4×D4—22no—
90C2×C4×D4—22no—
91C2×C4×D4—21no—
92C2×C4×D4—21no—
93C2×C4×D4—21no—
94C2×C4×D4C2×C411yescharacteristic
95C2×C4×D4C2×C411yescharacteristic
96C2×C4×D4C2311yescharacteristic
97C2×C4×D4C2311yescharacteristic
98C2×C4×D4C2311yescharacteristic
99C22×C4⋊C4C2×C411yescharacteristic
100C22×C22⋊C4—21no—
101C22×C42C2311yescharacteristic
102#447—24no—
103C4×D8—22no—
104C4×D8—22no—
105C4×D8—22no—
106C4×D8—22no—
107#436—22no—
108#436—22no—
109#436—22no—
110#436—22no—
111#436—22no—
112#436—44no—
113#436D414yescomplemented
114#435—28no—
115#435—28no—
116C8×D4—22no—
117C8×D4—22no—
118C8×D4—22no—
119C8×D4D414yescomplemented
120C2×#107C2×C411yescharacteristic
121C2×#107C2×C411yescharacteristic
122#423—22no—
123#423—22no—
124C2×C4⋊C8—21no—
125C2×C4⋊C8—21no—
126C2×C4⋊C8C2311yescharacteristic
127C2×C4⋊C8C2311yescharacteristic
128C2×C4⋊C8C2311yescharacteristic
129C2×C4⋊C8C2311yescharacteristic
130C2×#102C2×C411yescharacteristic
131C2×#102C2×C411yescharacteristic
132C2×#102C2×C411yescharacteristic
133C2×#102C2×C411yescharacteristic
134C2×#102C2×C411yescharacteristic
135C2×#102C2×C411yescharacteristic
136C2×#102C2×C411yescharacteristic
137C2×#102C2×C411yescharacteristic
138#407—28no—
139C2×C22⋊C8—21no—
140C2×C22⋊C8—21no—
141C2×C22⋊C8—21no—
142C2×C22⋊C8—21no—
143C2×C22⋊C8—21no—
144C2×C22⋊C8—21no—
145C2×C22⋊C8—21no—
146C2×C22⋊C8—21no—
147C2×C22⋊C8—21no—
148C2×C22⋊C8C2×C411yescharacteristic
149C2×C22⋊C8C2×C411yescharacteristic
150C4×M16—22no—
151C4×M16—22no—
152C2×#97D411yescharacteristic
153C2×#97D411yescharacteristic
154C2×C4×C8—21no—
155C2×C4×C8C2311yescharacteristic
156C2×C4×C8C2311yescharacteristic
157C2×C4×C8C2311yescharacteristic
158C2×C4×C8C2311yescharacteristic
159C2×C4×C8C2311yescharacteristic
160C2×C4×C8C2311yescharacteristic
161#390C2×C411yescharacteristic
162#389C2×C411yescharacteristic
163#388—21no—
164#386—21no—
165#380C2×C411yescharacteristic
166C4×C4⋊C4C2311yescharacteristic
167C4×C22⋊C4—21no—
168#340C2×C411yescharacteristic
169#340C2×C411yescharacteristic
170#340C2×C411yescharacteristic
171#340C2×C411yescharacteristic
172#336—21no—
173#336—21no—
174#336—21no—
175#336—21no—
176#336C2×C411yescharacteristic
177#336C2×C411yescharacteristic
178#335—22no—
179#335—22no—
180D4⋊C8—22no—
181D4⋊C8—22no—
182D4⋊C8—22no—
183D4⋊C8—22no—
184D4⋊C8—22no—
185D4⋊C8—22no—
186#322—22no—
187C82—22no—
188C25—21no—
189C22×D4—22no—
190C22×D4—22no—
191C22×D4—22no—
192C22×D4—22no—
193C22×D4—21no—
194C22×D4—21no—
195C22×D4—41no—
196C22×D4—41no—
197C22×D4C22×C411yescharacteristic
198C22×D4C22×C411yescharacteristic
199C22×D4C22×C411yescharacteristic
200C23×C4—24no—
201C23×C4—24no—
202C23×C4—21no—
203C23×C4—21no—
204C23×C4—21no—
205C23×C4—21no—
206C23×C4—21no—
207C23×C4—21no—
208C23×C4—42no—
209C23×C4—42no—
210C23×C4—42no—
211C23×C4—42no—
212C23×C4C22×C411yescharacteristic
213C23×C4C2×D411yescharacteristic
214C23×C4#4111yescharacteristic
215C2×D8—22no—
216C2×D8—22no—
217C2×D8—22no—
218C2×D8—22no—
219C2×D8—22no—
220C2×D8—41no—
221C2×M16—24no—
222C2×M16—24no—
223C2×M16—22no—
224C2×M16—22no—
225C2×M16—24no—
226C2×M16—22no—
227C2×M16—22no—
228C2×M16—41no—
229C2×M16—42no—
230C2×M16—432no—
231C2×M16—42no—
232C2×M16—42no—
233C2×M16—42no—
234C2×M16—42no—
235C2×M16—42no—
236C2×M16—42no—
237C2×M16—42no—
238C2×M16—42no—
239C2×M16D814yescomplemented
240C22×C8—24no—
241C22×C8—21no—
242C22×C8—21no—
243C22×C8—21no—
244C22×C8—24no—
245C22×C8—21no—
246C22×C8—21no—
247C22×C8—21no—
248C22×C8—42no—
249C22×C8—42no—
250C22×C8—42no—
251C22×C8—42no—
252C22×C8C22×C411yescharacteristic
253C22×C8C22×C411yescharacteristic
254C22×C8C22×C411yescharacteristic
255C22×C8C22×C411yescharacteristic
256C22×C8C2×D411yescharacteristic
257C22×C8C2×D411yescharacteristic
258C22×C8C2×D411yescharacteristic
259C22×C8C2×D411yescharacteristic
260#121—22no—
261#121—41no—
262C4×D4—24no—
263C4×D4—24no—
264C4×D4—24no—
265C4×D4—24no—
266C4×D4—22no—
267C4×D4—22no—
268C4×D4—22no—
269C4×D4—22no—
270C4×D4—21no—
271C4×D4—21no—
272C4×D4—21no—
273C4×D4—21no—
274C4×D4—21no—
275C4×D4—21no—
276C4×D4—21no—
277C4×D4—21no—
278C4×D4—42no—
279C4×D4—42no—
280C4×D4C2×D412yes—
281C4×D4C2×D412yes—
282C4×D4#4112yes—
283C4×D4#4112yes—
284C2×C4⋊C4—21no—
285C2×C4⋊C4—22no—
286C2×C4⋊C4—22no—
287C2×C4⋊C4—21no—
288C2×C4⋊C4C22×C411yescharacteristic
289C2×C4⋊C4C22×C411yescharacteristic
290C2×C4⋊C4C22×C411yescharacteristic
291C2×C4⋊C4C22×C411yescharacteristic
292C2×C4⋊C4C22×C411yescharacteristic
293C2×C22⋊C4—24no—
294C2×C22⋊C4—24no—
295C2×C22⋊C4—21no—
296C2×C22⋊C4—21no—
297C2×C22⋊C4—21no—
298C2×C22⋊C4—21no—
299C2×C22⋊C4—21no—
300C2×C22⋊C4—21no—
301C2×C22⋊C4—21no—
302C2×C22⋊C4—21no—
303C2×C22⋊C4—21no—
304C2×C42—21no—
305C2×C42—21no—
306C2×C42—21no—
307C2×C42—21no—
308C2×C42—21no—
309C2×C42C22×C411yescharacteristic
310C2×C42C2×D411yescharacteristic
311C2×C42#4111yescharacteristic
312C2×C42C2411yescharacteristic
313#107—22no—
314#107—22no—
315C4⋊C8—24no—
316C4⋊C8—21no—
317C4⋊C8—21no—
318C4⋊C8—21no—
319C4⋊C8—21no—
320C4⋊C8—21no—
321C4⋊C8—21no—
322C4⋊C8—42no—
323C4⋊C8C2×D412yes—
324C4⋊C8C2×D412yes—
325#102—22no—
326#102—22no—
327#102—22no—
328#102—22no—
329#102—22no—
330#102—22no—
331#102—41no—
332#102M1614yescomplemented
333C22⋊C8—24no—
334C22⋊C8—24no—
335C22⋊C8—24no—
336C22⋊C8—24no—
337C22⋊C8—22no—
338C22⋊C8—41no—
339C22⋊C8—42no—
340C22⋊C8—42no—
341C22⋊C8—42no—
342C22⋊C8—42no—
343C22⋊C8—42no—
344#97—22no—
345#97—22no—
346C4×C8—21no—
347C4×C8—21no—
348C4×C8—21no—
349C4×C8—21no—
350C4×C8—21no—
351C4×C8—21no—
352C4×C8—21no—
353C4×C8—21no—
354C4×C8—21no—
355C4×C8—21no—
356C4×C8—42no—
357C4×C8C2×D412yes—
358C4×C8C2×D412yes—
359#95—21no—
360#95—21no—
361#95—21no—
362C24—21no—
363C24—24no—
364C24—21no—
365C24—21no—
366C24—42no—
367C24—42no—
368C24—42no—
369C24—42no—
370C24—81no—
371C24—81no—
372C24C4×D411yescharacteristic
373C2×D4—24no—
374C2×D4—21no—
375C2×D4—21no—
376C2×D4—21no—
377C2×D4—21no—
378C2×D4—21no—
379C2×D4—21no—
380C2×D4—21no—
381C2×D4—21no—
382C2×D4—21no—
383C2×D4—21no—
384C2×D4—21no—
385C2×D4—21no—
386C2×D4—21no—
387C2×D4—21no—
388C2×D4—42no—
389C2×D4—42no—
390C2×D4—42no—
391C2×D4—44no—
392C2×D4—44no—
393C2×D4—44no—
394C2×D4—44no—
395C2×D4—42no—
396C2×D4—81no—
397C2×D4C4×D412yes—
398C2×D4C4×D412yes—
399C2×D4C2×M1612yes—
400C2×D4#13112yes—
401C22×C4—21no—
402C22×C4—21no—
403C22×C4—21no—
404C22×C4—21no—
405C22×C4—24no—
406C22×C4—24no—
407C22×C4—24no—
408C22×C4—21no—
409C22×C4—21no—
410C22×C4—21no—
411C22×C4—21no—
412C22×C4—21no—
413C22×C4—22no—
414C22×C4—22no—
415C22×C4—22no—
416C22×C4—22no—
417C22×C4—21no—
418C22×C4—21no—
419C22×C4—21no—
420C22×C4—21no—
421C22×C4—21no—
422C22×C4—21no—
423C22×C4—21no—
424C22×C4—21no—
425C22×C4—41no—
426C22×C4—41no—
427C22×C4—48no—
428C22×C4—42no—
429C22×C4—42no—
430C22×C4—48no—
431C22×C4—48no—
432C22×C4—48no—
433C22×C4—42no—
434C22×C4—42no—
435C22×C4—41no—
436C22×C4—41no—
437C22×C4—41no—
438C22×C4—41no—
439C22×C4—41no—
440C22×C4—41no—
441C22×C4—41no—
442C22×C4—41no—
443C22×C4—42no—
444C22×C4—42no—
445C22×C4—41no—
446C22×C4—41no—
447C22×C4—41no—
448C22×C4—41no—
449C22×C4—41no—
450C22×C4—41no—
451C22×C4C4×D411yescharacteristic
452C22×C4C4×D411yescharacteristic
453C22×C4C4×D411yescharacteristic
454C22×C4C2×D812yes—
455C22×C4#13512yes—
456C22×C4C23×C411yescharacteristic
457C22×C4C22×D411yescharacteristic
458C22×C4C2×#4111yescharacteristic
459D8—44no—
460D8—44no—
461M16—28no—
462M16—44no—
463M16—48no—
464M16—48no—
465M16—48no—
466M16—84no—
467C2×C8—21no—
468C2×C8—21no—
469C2×C8—21no—
470C2×C8—21no—
471C2×C8—21no—
472C2×C8—21no—
473C2×C8—22no—
474C2×C8—21no—
475C2×C8—21no—
476C2×C8—21no—
477C2×C8—21no—
478C2×C8—22no—
479C2×C8—22no—
480C2×C8—21no—
481C2×C8—21no—
482C2×C8—21no—
483C2×C8—21no—
484C2×C8—21no—
485C2×C8—21no—
486C2×C8—21no—
487C2×C8—21no—
488C2×C8—48no—
489C2×C8—41no—
490C2×C8—41no—
491C2×C8—41no—
492C2×C8—41no—
493C2×C8—41no—
494C2×C8—41no—
495C2×C8—48no—
496C2×C8—41no—
497C2×C8—41no—
498C2×C8—41no—
499C2×C8—41no—
500C2×C8—41no—
501C2×C8—41no—
502C2×C8—41no—
503C2×C8—41no—
504C2×C8—41no—
505C2×C8#12012yes—
506C2×C8#12012yes—
507C2×C8C2×M1612yescomplemented
508C2×C8C2×D812yes—
509C2×C8C2×D812yes—
510C2×C8AGL(1,ℤ/8)12yes—
511C4⋊C4—24no—
512C4⋊C4—21no—
513C4⋊C4—21no—
514C4⋊C4—21no—
515C4⋊C4—21no—
516C4⋊C4—21no—
517C4⋊C4—21no—
518C4⋊C4—21no—
519C4⋊C4—42no—
520C4⋊C4C4×D412yes—
521C4⋊C4C4×D412yes—
522C4⋊C4C2×M1612yescomplemented
523C22⋊C4—24no—
524C22⋊C4—24no—
525C22⋊C4—22no—
526C22⋊C4—22no—
527C22⋊C4—22no—
528C22⋊C4—22no—
529C22⋊C4—42no—
530C22⋊C4—42no—
531C22⋊C4—41no—
532C22⋊C4—41no—
533C22⋊C4—42no—
534C22⋊C4—81no—
535C42—21no—
536C42—21no—
537C42—21no—
538C42—21no—
539C42—21no—
540C42—21no—
541C42—41no—
542C42—41no—
543C42C22×D411yescharacteristic
544C42C22×D411yescharacteristic
545C42C2×#4111yescharacteristic
546C42C2×#4111yescharacteristic
547C23—21no—
548C23—22no—
549C23—21no—
550C23—22no—
551C23—21no—
552C23—21no—
553C23—21no—
554C23—22no—
555C23—21no—
556C23—22no—
557C23—48no—
558C23—48no—
559C23—41no—
560C23—41no—
561C23—41no—
562C23—41no—
563C23—41no—
564C23—41no—
565C23—41no—
566C23—41no—
567C23—41no—
568C23—41no—
569C23—41no—
570C23—41no—
571C23—41no—
572C23—41no—
573C23—41no—
574C23—41no—
575C23—41no—
576C23—84no—
577C23—84no—
578C23—84no—
579C23—84no—
580C23—84no—
581C23C4×D812yes—
582C23C2×C4×D411yescharacteristic
583D4—22no—
584D4—22no—
585D4—22no—
586D4—22no—
587D4—22no—
588D4—48no—
589D4—41no—
590D4—41no—
591D4—41no—
592D4—41no—
593D4—41no—
594D4—41no—
595D4—84no—
596D4#43614yescomplemented
597C2×C4—21no—
598C2×C4—21no—
599C2×C4—21no—
600C2×C4—21no—
601C2×C4—22no—
602C2×C4—22no—
603C2×C4—22no—
604C2×C4—22no—
605C2×C4—21no—
606C2×C4—21no—
607C2×C4—22no—
608C2×C4—21no—
609C2×C4—21no—
610C2×C4—21no—
611C2×C4—21no—
612C2×C4—22no—
613C2×C4—22no—
614C2×C4—48no—
615C2×C4—48no—
616C2×C4—48no—
617C2×C4—41no—
618C2×C4—41no—
619C2×C4—41no—
620C2×C4—41no—
621C2×C4—41no—
622C2×C4—41no—
623C2×C4—42no—
624C2×C4—42no—
625C2×C4—42no—
626C2×C4—42no—
627C2×C4—41no—
628C2×C4—41no—
629C2×C4—41no—
630C2×C4—41no—
631C2×C4—42no—
632C2×C4—42no—
633C2×C4—42no—
634C2×C4—42no—
635C2×C4—41no—
636C2×C4—41no—
637C2×C4—41no—
638C2×C4—41no—
639C2×C4—41no—
640C2×C4—41no—
641C2×C4—81no—
642C2×C4—81no—
643C2×C4—81no—
644C2×C4—81no—
645C2×C4—81no—
646C2×C4—81no—
647C2×C4C4×D812yes—
648C2×C4C2×C4×D411yescharacteristic
649C2×C4C2×C4×D411yescharacteristic
650C2×C4C2×#12011yescharacteristic
651C2×C4#52511yescharacteristic
652C2×C4#52511yescharacteristic
653C2×C4#52511yescharacteristic
654C2×C4C22×M1611yescharacteristic
655C2×C4C2×#13111yescharacteristic
656C2×C4#56811yescharacteristic
657C2×C4#56811yescharacteristic
658C2×C4C22×D811yescharacteristic
659C2×C4C2×#13511yescharacteristic
660C2×C4C2×AGL(1,ℤ/8)11yescharacteristic
661C2×C4#57511yescharacteristic
662C8—22no—
663C8—22no—
664C8—22no—
665C8—42no—
666C8—41no—
667C8—41no—
668C8—41no—
669C8—42no—
670C8—42no—
671C8—41no—
672C8—81no—
673C8—81no—
674C8—81no—
675C8#44714yescomplemented
676C22—22no—
677C22—22no—
678C22—24no—
679C22—22no—
680C22—42no—
681C22—41no—
682C22—42no—
683C22—42no—
684C22—41no—
685C22—42no—
686C22—41no—
687C22—42no—
688C22—41no—
689C22—42no—
690C22—42no—
691C22—42no—
692C22—42no—
693C22—816no—
694C22—81no—
695C22—81no—
696C22—81no—
697C22—81no—
698C22—81no—
699C22—81no—
700C22—81no—
701C22—81no—
702C22—81no—
703C22—81no—
704C22—81no—
705C22C4×#12011yescharacteristic
706C22#293311yescharacteristic
707C22D4×M1611yescharacteristic
708C22C2×C4×D811yescharacteristic
709C22C4×AGL(1,ℤ/8)11yescharacteristic
710C22#295611yescharacteristic
711C22#295711yescharacteristic
712C4—22no—
713C4—21no—
714C4—21no—
715C4—42no—
716C4—41no—
717C4—42no—
718C4—42no—
719C4—41no—
720C4—81no—
721C4—81no—
722C4C2×#43611yescharacteristic
723C4#293011yescharacteristic
724C4#293311yescharacteristic
725C4D4×M1611yescharacteristic
726C4C2×#44711yescharacteristic
727C4#300211yescharacteristic
728C4#310011yescharacteristic
729C4#310511yescharacteristic
730C2—42no—
731C2—44no—
732C2—82no—
733C2—161no—
734C2#1799411yescharacteristic
735C2#1800811yescharacteristic
736C2M16×D811yescharacteristic
737C2#1804811yescharacteristic
738C2#2144111yescharacteristic
739C2C4×#44711yescharacteristic
740C2#2146811yescharacteristic
subgroupG/H
centerC22×C4C22×D4
commutatorC22×C4C23×C4
Frattini, cosocleC2×C42C24
socleC23C2×C4×D4
prime radicalC2×#447C4
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C22×C4 ◁ C2×C4×M16 ◁ G
LECSG ▷ C2×C42 ▷ C22 ▷ C1

Complements

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

NH ≅ G/Ntype
1. C2×D4×M16C2semidirect
2. #21488C2semidirect
4. C2×#1589C2semidirect
5. C2×#1581C2semidirect
6. #8951C2semidirect
7. #8947C2semidirect
8. #8944C2semidirect
9. #8847C2semidirect
10. #8843C2semidirect
11. #8832C2semidirect
12. #8310C2semidirect
13. #8210C2semidirect
14. C8×#102C2semidirect
15. #8146C2semidirect
26. C2×#436C22semidirect
35. #1954C22semidirect
36. #1939C22semidirect
47. C8×C4⋊C4C22semidirect
55. C2×#335C22semidirect
56. C2×#335C22semidirect
61. C2×D4⋊C8C22semidirect
62. C2×D4⋊C8C22semidirect
63. C2×#322C22semidirect
64. C2×C82C22semidirect
65. #1279C22semidirect
66. #1279C22semidirect
67. #1277C22semidirect
68. #1277C22semidirect
69. #1273C22semidirect
70. #1273C22semidirect
113. #436D4semidirect
119. C8×D4D4semidirect
239. C2×M16D8semidirect
332. #102M16semidirect
507. C2×C8C2×M16semidirect
522. C4⋊C4C2×M16semidirect
596. D4#436semidirect
675. C8#447semidirect

Maximal subgroups

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

subgroupindex
C2×D4×M162
#214882
C4×#4472
C2×#15892
C2×#15812
#89512
#89472
#89442
#88472
#88432
#88322
#83102
#82102
C8×#1022
#81462