Finite Group Databasebeta

← #826434

Subgroups — #826434

Order 512.

3294 conjugacy classes of subgroups.

The subgroup lattice has 781 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#2580C212yesmaximal, complemented
2C2×#2361C211yesmaximal, characteristic
3C2×Q8×C4⋊C4C211yesmaximal, characteristic, complemented
4#16564C212yesmaximal, complemented
5#15406C214yesmaximal, complemented
6#15358C214yesmaximal, complemented
7#15157C211yesmaximal, characteristic, complemented
8#15155C211yesmaximal, characteristic, complemented
9#15135C211yesmaximal, characteristic, complemented
10#14875C212yesmaximal, complemented
11#14807C212yesmaximal, complemented
12#14005C212yesmaximal, complemented
13#13998C212yesmaximal
14#13977C212yesmaximal, complemented
15#13918C211yesmaximal, characteristic, complemented
16#13880C212yesmaximal, complemented
17C4×#393C211yesmaximal, characteristic, complemented
18C22×#121C2211yescharacteristic
19C22×C4×Q8C2211yescharacteristic
20C22×C4×Q8C2212yes—
21C22×C4×D4C2212yes—
22C22×C4×D4C2211yescharacteristic
23C23×C4⋊C4C2211yescharacteristic
24#2580—216no—
25C2×#399C2212yes—
26C2×#399C2212yes—
27C2×#399C2212yes—
28C2×#399C2214yes—
29C2×#393C2212yes—
30C2×#393C2211yescharacteristic
31#2361—28no—
32Q8×C4⋊C4—28no—
33C2×#390C2211yescharacteristic
34C2×#390C2212yes—
35C2×#390C2214yes—
36C2×#390C2212yes—
37C2×#389C2214yes—
38C2×#389C2214yes—
39C2×#389C2212yes—
40C2×#389C2211yescharacteristic
41C2×#389C2212yes—
42C2×#389C2212yes—
43C2×#388C2212yes—
44C2×#386C2212yes—
45C2×#385C2212yes—
46C2×#385C2214yes—
47C2×#385C2214yes—
48C2×#385C2214yes—
49C2×#385C2214yes—
50C2×#384C2211yescharacteristic
51C2×#384C2212yes—
52C2×#384C2212yes—
53C2×#382C2212yes—
54C2×#380C2212yes—
55C2×C4×C4⋊C4C2212yes—
56C2×C4×C4⋊C4C2211yescharacteristic
57C2×C4×C22⋊C4C2211yescharacteristic
58C2×C4×C22⋊C4C2212yes—
59#1446C2211yescharacteristic
60#1445C2212yes—
61#1444C2214yes—
62#1444C2212yes—
63#1444C2214yes—
64#1444C2214yes—
65#1442C2212yes—
66#1442C2211yescharacteristic
67#1442C2214yes—
68#1441C2214yes—
69#1439C2214yes—
70#1439C2212yes—
71#1439C2211yescharacteristic
72#1439C2212yes—
73#1439C2214yes—
74#1439C2214yes—
75#1439C2212yes—
76#1439C2214yes—
77#1438C2214yes—
78#1437C2214yes—
79#1436C2214yes—
80C4⋊#95C2211yescharacteristic
81C4⋊#95C2212yes—
82C4⋊#95C2212yes—
83#1434C2212yes—
84C4×#95C2211yescharacteristic
85C4×#95C2212yes—
86C23×Q8C2311yescharacteristic
87C23×D4C2311yescharacteristic
88C23×D4C2312yes—
89C24×C4C2311yescharacteristic
90C24×C4C2312yes—
91C24×C4C2312yes—
92C2×#121—24no—
93C2×#121—24no—
94C2×#121Q818yescomplemented
95C2×C4×Q8—28no—
96C2×C4×Q8—24no—
97C2×C4×Q8—28no—
98C2×C4×Q8—28no—
99C2×C4×Q8—44no—
100C2×C4×D4—24no—
101C2×C4×D4—28no—
102C2×C4×D4—28no—
103C2×C4×D4—44no—
104C2×C4×D4—44no—
105C22×C4⋊C4—24no—
106C22×C4⋊C4—44no—
107C22×C4⋊C4C2312yes—
108C22×C4⋊C4C2311yescharacteristic
109C22×C4⋊C4C2312yes—
110C22×C4⋊C4C2311yescharacteristic
111C22×C4⋊C4C2312yes—
112C22×C4⋊C4C2312yes—
113C22×C4⋊C4C2312yes—
114C22×C4⋊C4C2314yes—
115C22×C4⋊C4C2314yes—
116C22×C4⋊C4C2311yescharacteristic
117C22×C4⋊C4C2314yes—
118C22×C4⋊C4C2312yes—
119C22×C4⋊C4C2314yes—
120C22×C4⋊C4C2314yes—
121C22×C4⋊C4C2312yes—
122C22×C4⋊C4C2314yes—
123C22×C4⋊C4C2311yescharacteristic
124C22×C22⋊C4C2312yes—
125C22×C22⋊C4C2314yes—
126C22×C22⋊C4C2312yes—
127C22×C22⋊C4C2311yescharacteristic
128C22×C22⋊C4C2311yescharacteristic
129C22×C22⋊C4C2312yes—
130C22×C22⋊C4C2312yes—
131C22×C22⋊C4C2314yes—
132C22×C22⋊C4C2312yes—
133C22×C22⋊C4C2314yes—
134C22×C22⋊C4C2314yes—
135C22×C22⋊C4C2312yes—
136C22×C22⋊C4C2314yes—
137C22×C42C2311yescharacteristic
138C22×C42C2312yes—
139C22×C42C2314yes—
140C22×C42C2312yes—
141C22×C42C2311yescharacteristic
142C22×C42C2312yes—
143#399—28no—
144#399—28no—
145#399—44no—
146#399—48no—
147#393—28no—
148#393D418yescomplemented
149#390—216no—
150#390—24no—
151#390—28no—
152#390—44no—
153#389—24no—
154#389—28no—
155#389—28no—
156#389—216no—
157#389—216no—
158#389—44no—
159#388—28no—
160#386—28no—
161#385—216no—
162#385—216no—
163#385—28no—
164#385—48no—
165#385—48no—
166#384—28no—
167#384—24no—
168#384—44no—
169#382—28no—
170#380—44no—
171C4×C4⋊C4—28no—
172C4×C4⋊C4D418yes—
173C4×C22⋊C4—24no—
174C4×C22⋊C4—28no—
175C2×#95C2312yes—
176C2×#95C2314yes—
177C2×#95C2311yescharacteristic
178C2×#95C2312yes—
179C2×#95C2312yes—
180C2×#95C2312yes—
181C2×#95C2314yes—
182C2×#95C2314yes—
183C2×#95C2314yes—
184C2×#95C2312yes—
185C2×#95C2312yes—
186C2×#95C2314yes—
187C2×#95C2312yes—
188C2×#95C2311yescharacteristic
189C2×#95C2311yescharacteristic
190C2×#95C2312yes—
191C2×#95C2312yes—
192C2×#95C2314yes—
193C2×#95C2314yes—
194C2×#95C2314yes—
195C2×#95C2311yescharacteristic
196C2×#95C2312yes—
197C2×#95C2312yes—
198C25C2412yes—
199C25C2411yescharacteristic
200C22×Q8—22no—
201C22×Q8—24no—
202C22×Q8—22no—
203C22×Q8—24no—
204C22×Q8C2×D414yes—
205C22×D4—24no—
206C22×D4—24no—
207C22×D4—24no—
208C22×D4—22no—
209C22×D4—24no—
210C22×D4—22no—
211C22×D4—24no—
212C22×D4—24no—
213C22×D4—42no—
214C22×D4—42no—
215C22×D4C2×Q814yes—
216C22×D4C2×Q818yes—
217C23×C4—22no—
218C23×C4—22no—
219C23×C4—24no—
220C23×C4—24no—
221C23×C4—24no—
222C23×C4—24no—
223C23×C4—24no—
224C23×C4—24no—
225C23×C4—44no—
226C23×C4—42no—
227C23×C4—44no—
228C23×C4—42no—
229C23×C4—44no—
230C23×C4—44no—
231C23×C4C2×Q814yes—
232C23×C4C2414yes—
233C23×C4C2414yes—
234C23×C4C2411yescharacteristic
235C23×C4C2412yes—
236C23×C4C2412yes—
237C23×C4C2411yescharacteristic
238C23×C4C2412yes—
239C23×C4C2411yescharacteristic
240C23×C4C2411yescharacteristic
241C23×C4C2412yes—
242C23×C4C2412yes—
243C23×C4C2411yescharacteristic
244C23×C4C2412yes—
245C23×C4C2412yes—
246C23×C4C2411yescharacteristic
247#121—232no—
248C4×Q8—232no—
249C4×Q8—432no—
250C4×D4—432no—
251C4×D4—416no—
252C2×C4⋊C4—24no—
253C2×C4⋊C4—22no—
254C2×C4⋊C4—24no—
255C2×C4⋊C4—24no—
256C2×C4⋊C4—24no—
257C2×C4⋊C4—24no—
258C2×C4⋊C4—24no—
259C2×C4⋊C4—22no—
260C2×C4⋊C4—24no—
261C2×C4⋊C4—24no—
262C2×C4⋊C4—28no—
263C2×C4⋊C4—24no—
264C2×C4⋊C4—28no—
265C2×C4⋊C4—24no—
266C2×C4⋊C4—24no—
267C2×C4⋊C4—28no—
268C2×C4⋊C4—28no—
269C2×C4⋊C4—24no—
270C2×C4⋊C4—24no—
271C2×C4⋊C4—24no—
272C2×C4⋊C4—24no—
273C2×C4⋊C4—24no—
274C2×C4⋊C4—24no—
275C2×C4⋊C4—24no—
276C2×C4⋊C4—28no—
277C2×C4⋊C4—24no—
278C2×C4⋊C4—28no—
279C2×C4⋊C4—28no—
280C2×C4⋊C4—28no—
281C2×C4⋊C4—416no—
282C2×C4⋊C4—44no—
283C2×C4⋊C4—44no—
284C2×C4⋊C4—42no—
285C2×C4⋊C4—44no—
286C2×C4⋊C4—44no—
287C2×C4⋊C4—44no—
288C2×C4⋊C4—44no—
289C2×C4⋊C4—44no—
290C2×C4⋊C4—44no—
291C2×C4⋊C4—44no—
292C2×C4⋊C4—44no—
293C2×C4⋊C4—44no—
294C2×C4⋊C4—44no—
295C2×C4⋊C4C2×D414yes—
296C2×C4⋊C4C2×D414yes—
297C2×C4⋊C4C2×Q814yes—
298C2×C4⋊C4#4114yes—
299C2×C22⋊C4—24no—
300C2×C22⋊C4—22no—
301C2×C22⋊C4—24no—
302C2×C22⋊C4—24no—
303C2×C22⋊C4—24no—
304C2×C22⋊C4—24no—
305C2×C22⋊C4—22no—
306C2×C22⋊C4—24no—
307C2×C22⋊C4—24no—
308C2×C22⋊C4—22no—
309C2×C22⋊C4—24no—
310C2×C22⋊C4—24no—
311C2×C22⋊C4—24no—
312C2×C22⋊C4—22no—
313C2×C22⋊C4—28no—
314C2×C22⋊C4—28no—
315C2×C22⋊C4—28no—
316C2×C22⋊C4—24no—
317C2×C22⋊C4—28no—
318C2×C22⋊C4—28no—
319C2×C22⋊C4—24no—
320C2×C22⋊C4—28no—
321C2×C22⋊C4—28no—
322C2×C22⋊C4—41no—
323C2×C22⋊C4—44no—
324C2×C22⋊C4—44no—
325C2×C22⋊C4—44no—
326C2×C22⋊C4—44no—
327C2×C22⋊C4—44no—
328C2×C22⋊C4—44no—
329C2×C22⋊C4—44no—
330C2×C22⋊C4—44no—
331C2×C22⋊C4—44no—
332C2×C22⋊C4—44no—
333C2×C22⋊C4C2×D414yes—
334C2×C22⋊C4C2×D418yes—
335C2×C22⋊C4C2×Q818yes—
336C2×C42—24no—
337C2×C42—24no—
338C2×C42—24no—
339C2×C42—24no—
340C2×C42—24no—
341C2×C42—22no—
342C2×C42—28no—
343C2×C42—28no—
344C2×C42—24no—
345C2×C42—24no—
346C2×C42—24no—
347C2×C42—24no—
348C2×C42—44no—
349C2×C42C2×D418yes—
350C2×C42C2×D414yes—
351C2×C42#4118yes—
352#95—22no—
353#95—22no—
354#95—28no—
355#95—28no—
356#95—24no—
357#95—28no—
358#95—24no—
359#95—24no—
360#95—24no—
361#95—28no—
362#95—24no—
363#95—28no—
364#95—24no—
365#95—22no—
366#95—24no—
367#95—42no—
368#95—42no—
369#95—44no—
370#95—44no—
371#95—44no—
372#95C2×D418yes—
373#95C2×D414yes—
374#95C2×D418yes—
375C24—21no—
376C24—22no—
377C24—21no—
378C24—22no—
379C24—21no—
380C24—22no—
381C24—22no—
382C24—21no—
383C24—22no—
384C24—22no—
385C24—24no—
386C24—22no—
387C24—24no—
388C24—22no—
389C24—24no—
390C24—24no—
391C24—22no—
392C24—22no—
393C24C22×D412yes—
394C24C22×Q814yes—
395C24C22×Q812yes—
396C242−1+412yes—
397C24C2511yescharacteristic
398C2×Q8—28no—
399C2×Q8—28no—
400C2×Q8—216no—
401C2×Q8—28no—
402C2×Q8—216no—
403C2×D4—216no—
404C2×D4—216no—
405C2×D4—28no—
406C2×D4—216no—
407C2×D4—48no—
408C2×D4—48no—
409C2×D4—48no—
410C2×D4—48no—
411C2×D4—48no—
412C2×D4—44no—
413C2×D4—44no—
414C2×D4—48no—
415C22×C4—22no—
416C22×C4—22no—
417C22×C4—22no—
418C22×C4—22no—
419C22×C4—22no—
420C22×C4—22no—
421C22×C4—22no—
422C22×C4—22no—
423C22×C4—22no—
424C22×C4—22no—
425C22×C4—22no—
426C22×C4—22no—
427C22×C4—21no—
428C22×C4—21no—
429C22×C4—22no—
430C22×C4—22no—
431C22×C4—22no—
432C22×C4—22no—
433C22×C4—22no—
434C22×C4—22no—
435C22×C4—22no—
436C22×C4—21no—
437C22×C4—22no—
438C22×C4—22no—
439C22×C4—22no—
440C22×C4—22no—
441C22×C4—24no—
442C22×C4—22no—
443C22×C4—22no—
444C22×C4—22no—
445C22×C4—22no—
446C22×C4—22no—
447C22×C4—22no—
448C22×C4—22no—
449C22×C4—21no—
450C22×C4—24no—
451C22×C4—22no—
452C22×C4—22no—
453C22×C4—21no—
454C22×C4—22no—
455C22×C4—22no—
456C22×C4—21no—
457C22×C4—22no—
458C22×C4—22no—
459C22×C4—28no—
460C22×C4—216no—
461C22×C4—21no—
462C22×C4—24no—
463C22×C4—22no—
464C22×C4—24no—
465C22×C4—22no—
466C22×C4—24no—
467C22×C4—24no—
468C22×C4—24no—
469C22×C4—24no—
470C22×C4—22no—
471C22×C4—24no—
472C22×C4—24no—
473C22×C4—24no—
474C22×C4—24no—
475C22×C4—24no—
476C22×C4—24no—
477C22×C4—22no—
478C22×C4—24no—
479C22×C4—24no—
480C22×C4—22no—
481C22×C4—24no—
482C22×C4—21no—
483C22×C4—21no—
484C22×C4—24no—
485C22×C4—48no—
486C22×C4—48no—
487C22×C4—48no—
488C22×C4—48no—
489C22×C4—44no—
490C22×C4—44no—
491C22×C4—48no—
492C22×C4—84no—
493C22×C4—88no—
494C22×C4—84no—
495C22×C4—88no—
496C22×C4—88no—
497C22×C4—88no—
498C22×C4C22×D414yes—
499C22×C4C22×D412yes—
500C22×C4C22×D412yes—
501C22×C4C22×D414yes—
502C22×C4C22×D414yes—
503C22×C4C22×D412yes—
504C22×C4C22×D412yes—
505C22×C4C22×D414yes—
506C22×C4C22×D412yes—
507C22×C4C22×Q812yes—
508C22×C4C22×Q814yes—
509C22×C4C22×Q812yes—
510C22×C4C2×#4114yes—
511C22×C4C2×#4114yes—
512C22×C4C2×#4114yes—
513C22×C4C2×#4112yes—
514C22×C4C2×#4114yes—
515C22×C4H(5,𝔽2)14yes—
516C22×C4H(5,𝔽2)12yes—
517C22×C4H(5,𝔽2)14yes—
518C22×C42−1+414yes—
519C4⋊C4—28no—
520C4⋊C4—216no—
521C4⋊C4—28no—
522C4⋊C4—416no—
523C4⋊C4—48no—
524C4⋊C4—416no—
525C4⋊C4—48no—
526C4⋊C4—48no—
527C4⋊C4—44no—
528C4⋊C4—48no—
529C4⋊C4—48no—
530C4⋊C4—84no—
531C4⋊C4—88no—
532C4⋊C4—88no—
533C4⋊C4—88no—
534C4⋊C4—88no—
535C4⋊C4C22⋊Q8116yes—
536C22⋊C4—216no—
537C22⋊C4—216no—
538C22⋊C4—28no—
539C22⋊C4—216no—
540C22⋊C4—44no—
541C22⋊C4—416no—
542C22⋊C4—48no—
543C22⋊C4—48no—
544C22⋊C4—416no—
545C22⋊C4—88no—
546C22⋊C4—84no—
547C22⋊C4—88no—
548C22⋊C4—88no—
549C42—28no—
550C42—216no—
551C42—216no—
552C42—416no—
553C42—44no—
554C42—48no—
555C23—22no—
556C23—22no—
557C23—24no—
558C23—22no—
559C23—24no—
560C23—22no—
561C23—24no—
562C23—24no—
563C23—22no—
564C23—24no—
565C23—22no—
566C23—24no—
567C23—24no—
568C23—24no—
569C23—28no—
570C23—24no—
571C23—28no—
572C23—41no—
573C23—41no—
574C23—42no—
575C23—41no—
576C23—42no—
577C23—41no—
578C23—42no—
579C23—42no—
580C23—42no—
581C23—42no—
582C23—42no—
583C23—42no—
584C23—42no—
585C23—44no—
586C23—42no—
587C23—44no—
588C23—42no—
589C23—42no—
590C23—44no—
591C23—44no—
592C23—42no—
593C23—44no—
594C23—44no—
595C23—42no—
596C23—44no—
597C23—44no—
598C23—44no—
599C23—44no—
600C23D4×Q814yes—
601C23C23×D411yescharacteristic
602C23C23×D411yescharacteristic
603C23C23×Q811yescharacteristic
604C23C22×#4111yescharacteristic
605C23C22×#4112yes—
606C23C2×H(5,𝔽2)12yes—
607C23C2×H(5,𝔽2)11yescharacteristic
608C23C2×H(5,𝔽2)12yes—
609C23C2×2−1+412yes—
610C23C2×2−1+411yescharacteristic
611C23#58511yescharacteristic
612Q8—232no—
613D4—432no—
614D4—416no—
615C2×C4—22no—
616C2×C4—24no—
617C2×C4—24no—
618C2×C4—24no—
619C2×C4—24no—
620C2×C4—24no—
621C2×C4—24no—
622C2×C4—24no—
623C2×C4—22no—
624C2×C4—24no—
625C2×C4—24no—
626C2×C4—24no—
627C2×C4—24no—
628C2×C4—24no—
629C2×C4—24no—
630C2×C4—24no—
631C2×C4—22no—
632C2×C4—22no—
633C2×C4—24no—
634C2×C4—24no—
635C2×C4—24no—
636C2×C4—22no—
637C2×C4—24no—
638C2×C4—24no—
639C2×C4—24no—
640C2×C4—22no—
641C2×C4—24no—
642C2×C4—24no—
643C2×C4—22no—
644C2×C4—24no—
645C2×C4—24no—
646C2×C4—24no—
647C2×C4—24no—
648C2×C4—24no—
649C2×C4—24no—
650C2×C4—41no—
651C2×C4—41no—
652C2×C4—41no—
653C2×C4—42no—
654C2×C4—42no—
655C2×C4—42no—
656C2×C4—42no—
657C2×C4—42no—
658C2×C4—42no—
659C2×C4—42no—
660C2×C4—42no—
661C2×C4—41no—
662C2×C4—44no—
663C2×C4—42no—
664C2×C4—42no—
665C2×C4—42no—
666C2×C4—42no—
667C2×C4—42no—
668C2×C4—42no—
669C2×C4—44no—
670C2×C4—42no—
671C2×C4—42no—
672C2×C4—416no—
673C2×C4—41no—
674C2×C4—42no—
675C2×C4—44no—
676C2×C4—44no—
677C2×C4—42no—
678C2×C4—44no—
679C2×C4—44no—
680C2×C4—44no—
681C2×C4—41no—
682C2×C4—41no—
683C2×C4—44no—
684C2×C4—44no—
685C2×C4—42no—
686C2×C4—44no—
687C2×C4—44no—
688C2×C4—44no—
689C2×C4—44no—
690C2×C4—44no—
691C2×C4—44no—
692C2×C4—44no—
693C2×C4—44no—
694C2×C4—42no—
695C2×C4—42no—
696C2×C4—44no—
697C2×C4—816no—
698C2×C4—816no—
699C2×C4C2×C22⋊Q818yes—
700C2×C4C2×C22⋊Q814yes—
701C2×C4#52514yes—
702C2×C4#53514yes—
703C2×C4D4214yes—
704C2×C4#54718yes—
705C2×C4#55418yes—
706C2×C4#55918yes—
707C22—28no—
708C22—24no—
709C22—42no—
710C22—42no—
711C22—42no—
712C22—42no—
713C22—44no—
714C22—42no—
715C22—44no—
716C22—42no—
717C22—44no—
718C22—44no—
719C22—48no—
720C22—44no—
721C22—48no—
722C22—44no—
723C22—82no—
724C22—82no—
725C22—82no—
726C22—84no—
727C22—82no—
728C22—84no—
729C22C22×C22⋊Q811yescharacteristic
730C22C2×#52511yescharacteristic
731C22C2×#53511yescharacteristic
732C22C2×D4211yescharacteristic
733C22C2×#54712yes—
734C22C2×D4×Q811yescharacteristic
735C22D4×#4111yescharacteristic
736C22C2×#55412yes—
737C22C2×#55912yes—
738C22#348611yescharacteristic
739C22#348911yescharacteristic
740C22#349212yes—
741C22#349212yes—
742C22#349811yescharacteristic
743C22#349812yes—
744C22#350111yescharacteristic
745C22#350312yes—
746C22#350612yes—
747C22#352011yescharacteristic
748C22#352212yes—
749C22#354312yes—
750C22#355212yes—
751C22#355412yes—
752C4—24no—
753C4—28no—
754C4—28no—
755C4—42no—
756C4—42no—
757C4—44no—
758C4—44no—
759C4—44no—
760C4—42no—
761C4—44no—
762C4—81no—
763C4—84no—
764C4—82no—
765C4—84no—
766C4#258018yescomplemented
767C2—44no—
768C2—84no—
769C2C2×#258011yescharacteristic
770C2#3568911yescharacteristic
771C2#3574811yescharacteristic
772C2D4×C22⋊Q811yescharacteristic
773C2#3610311yescharacteristic
774C2#3936111yescharacteristic
775C2#4281511yescharacteristic
776C2#4490812yes—
777C2#4498512yes—
778C2#5931412yes—
779C2#5964112yes—
subgroupG/H
center, commutator, Frattini, socle, cosocleC24C25
prime radicalC22×#121C22
LCSG ▷ C24 ▷ C1
UCSC1 ◁ C24 ◁ G
LECSG ▷ C24 ▷ C1

Complements

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

NH ≅ G/Ntype
1. C2×#2580C2semidirect
3. C2×Q8×C4⋊C4C2semidirect
4. #16564C2semidirect
5. #15406C2semidirect
6. #15358C2semidirect
7. #15157C2semidirect
8. #15155C2semidirect
9. #15135C2semidirect
10. #14875C2semidirect
11. #14807C2semidirect
12. #14005C2semidirect
14. #13977C2semidirect
15. #13918C2semidirect
16. #13880C2semidirect
17. C4×#393C2semidirect
94. C2×#121Q8semidirect
148. #393D4semidirect
766. C4#2580semidirect

Maximal subgroups

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

subgroupindex
C2×#25802
C2×#23612
C2×Q8×C4⋊C42
#165642
#154062
#153582
#151572
#151552
#151352
#148752
#148072
#140052
#139982
#139772
#139182
#138802
C4×#3932