Finite Group Databasebeta

← #793205

Subgroups — #793205

Order 512.

3272 conjugacy classes of subgroups.

The subgroup lattice has 798 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#2603C212yesmaximal
2C2×#2496C211yesmaximal, characteristic, complemented
3C2×D4×C4⋊C4C211yesmaximal, characteristic, complemented
4#16673C212yesmaximal, complemented
5#15357C214yesmaximal, complemented
6#15342C214yesmaximal, complemented
7#15150C211yesmaximal, characteristic, complemented
8#15145C211yesmaximal, characteristic, complemented
9#15129C211yesmaximal, characteristic, complemented
10#14903C212yesmaximal, complemented
11#14801C212yesmaximal, complemented
12#13994C212yesmaximal, complemented
13#13906C212yesmaximal, complemented
14#13880C212yesmaximal, complemented
15#13872C212yesmaximal, complemented
16C4×#392C211yesmaximal, characteristic
17#13810C211yesmaximal, characteristic, complemented
18C22×#126C2212yes—
19C22×C4×D4C2211yescharacteristic
20C22×C4×D4C2212yes—
21C22×C4×D4C2212yes—
22C23×C4⋊C4C2212yes—
23#2603—216no—
24#2496—28no—
25C2×#400C2212yes—
26C2×#398C2212yes—
27C2×#398C2212yes—
28C2×#397C2212yes—
29C2×#397C2212yes—
30C2×#397C2212yes—
31C2×#394C2212yes—
32C2×#392C2211yescharacteristic
33D4×C4⋊C4—28no—
34C2×#390C2214yes—
35C2×#389C2211yescharacteristic
36C2×#389C2212yes—
37C2×#389C2211yescharacteristic
38C2×#388C2214yes—
39C2×#387C2212yes—
40C2×#386C2214yes—
41C2×#385C2214yes—
42C2×#385C2214yes—
43C2×#385C2214yes—
44C2×#384C2211yescharacteristic
45C2×#384C2211yescharacteristic
46C2×#384C2212yes—
47C2×#380C2212yes—
48C2×#380C2211yescharacteristic
49C2×#380C2212yes—
50C2×#380C2211yescharacteristic
51C2×#380C2212yes—
52C2×#380C2212yes—
53C2×C4×C4⋊C4C2212yes—
54C2×C4×C4⋊C4C2211yescharacteristic
55C2×C4×C22⋊C4C2211yescharacteristic
56C2×C4×C22⋊C4C2212yes—
57C2×#376C2212yes—
58#1445C2212yes—
59#1445C2212yes—
60#1444C2211yescharacteristic
61#1444C2214yes—
62#1444C2214yes—
63#1444C2214yes—
64#1442C2214yes—
65#1441C2212yes—
66#1441C2214yes—
67#1440C2214yes—
68#1440C2214yes—
69#1439C2211yescharacteristic
70#1439C2212yes—
71#1439C2214yes—
72#1439C2214yes—
73#1439C2214yes—
74#1438C2211yescharacteristic
75#1438C2212yes—
76C4⋊#95C2211yescharacteristic
77C4⋊#95C2212yes—
78C4⋊#95C2212yes—
79C4⋊#95C2212yes—
80C4⋊#95C2214yes—
81#1434C2212yes—
82#1434C2214yes—
83#1434C2214yes—
84C22⋊#95C2214yes—
85C4×#95C2211yescharacteristic
86C23×D4C2311yescharacteristic
87C23×D4C2312yes—
88C24×C4C2311yescharacteristic
89C24×C4C2312yes—
90C24×C4C2314yes—
91C2×#126—28no—
92C2×#126—28no—
93C2×#126—44no—
94C2×C4×D4—28no—
95C2×C4×D4—28no—
96C2×C4×D4—28no—
97C2×C4×D4—24no—
98C2×C4×D4—28no—
99C2×C4×D4—28no—
100C2×C4×D4—44no—
101C2×C4×D4—44no—
102C22×C4⋊C4—28no—
103C22×C4⋊C4—44no—
104C22×C4⋊C4—44no—
105C22×C4⋊C4C2312yes—
106C22×C4⋊C4C2312yes—
107C22×C4⋊C4C2312yes—
108C22×C4⋊C4C2311yescharacteristic
109C22×C4⋊C4C2312yes—
110C22×C4⋊C4C2311yescharacteristic
111C22×C4⋊C4C2311yescharacteristic
112C22×C4⋊C4C2312yes—
113C22×C4⋊C4C2312yes—
114C22×C4⋊C4C2312yes—
115C22×C4⋊C4C2312yes—
116C22×C4⋊C4C2311yescharacteristic
117C22×C4⋊C4C2311yescharacteristic
118C22×C4⋊C4C2312yes—
119C22×C4⋊C4C2314yes—
120C22×C4⋊C4C2314yes—
121C22×C4⋊C4C2314yes—
122C22×C22⋊C4C2314yes—
123C22×C22⋊C4C2312yes—
124C22×C22⋊C4C2312yes—
125C22×C22⋊C4C2311yescharacteristic
126C22×C22⋊C4C2312yes—
127C22×C22⋊C4C2312yes—
128C22×C22⋊C4C2312yes—
129C22×C22⋊C4C2312yes—
130C22×C22⋊C4C2314yes—
131C22×C22⋊C4C2311yescharacteristic
132C22×C22⋊C4C2312yes—
133C22×C22⋊C4C2314yes—
134C22×C22⋊C4C2314yes—
135C22×C42C2314yes—
136C22×C42C2311yescharacteristic
137C22×C42C2312yes—
138C22×C42C2311yescharacteristic
139C22×C42C2312yes—
140#400—28no—
141#398—28no—
142#398—44no—
143#397—28no—
144#397—28no—
145#397—44no—
146#394—28no—
147#392D418yes—
148#390—216no—
149#389—24no—
150#389—28no—
151#389—24no—
152#388—216no—
153#387—28no—
154#386—216no—
155#385—216no—
156#385—216no—
157#385—48no—
158#384—24no—
159#384—24no—
160#384—44no—
161#380—28no—
162#380—28no—
163#380—24no—
164#380—24no—
165#380—44no—
166#380—44no—
167C4×C4⋊C4—28no—
168C4×C4⋊C4D418yescomplemented
169C4×C22⋊C4—24no—
170C4×C22⋊C4—28no—
171#376—28no—
172C2×#95C2312yes—
173C2×#95C2312yes—
174C2×#95C2312yes—
175C2×#95C2314yes—
176C2×#95C2314yes—
177C2×#95C2311yescharacteristic
178C2×#95C2314yes—
179C2×#95C2311yescharacteristic
180C2×#95C2312yes—
181C2×#95C2312yes—
182C2×#95C2312yes—
183C2×#95C2312yes—
184C2×#95C2314yes—
185C2×#95C2314yes—
186C2×#95C2314yes—
187C2×#95C2314yes—
188C2×#95C2311yescharacteristic
189C2×#95C2312yes—
190C2×#95C2312yes—
191C2×#95C2314yes—
192C2×#95C2314yes—
193C2×#95C2314yes—
194C2×#95C2314yes—
195C2×#95C2311yescharacteristic
196C2×#95C2312yes—
197C25C2411yescharacteristic
198C25C2412yes—
199C22×D4—24no—
200C22×D4—24no—
201C22×D4—24no—
202C22×D4—24no—
203C22×D4—22no—
204C22×D4—24no—
205C22×D4—22no—
206C22×D4—24no—
207C22×D4—42no—
208C22×D4—42no—
209C22×D4C2×D414yes—
210C22×D4C2×D418yes—
211C23×C4—24no—
212C23×C4—24no—
213C23×C4—24no—
214C23×C4—24no—
215C23×C4—24no—
216C23×C4—24no—
217C23×C4—28no—
218C23×C4—22no—
219C23×C4—24no—
220C23×C4—24no—
221C23×C4—22no—
222C23×C4—22no—
223C23×C4—28no—
224C23×C4—44no—
225C23×C4—44no—
226C23×C4—44no—
227C23×C4—44no—
228C23×C4—44no—
229C23×C4#4118yes—
230C23×C4C2412yes—
231C23×C4C2412yes—
232C23×C4C2414yes—
233C23×C4C2414yes—
234C23×C4C2411yescharacteristic
235C23×C4C2411yescharacteristic
236C23×C4C2411yescharacteristic
237C23×C4C2412yes—
238C23×C4C2412yes—
239C23×C4C2412yes—
240C23×C4C2412yes—
241C23×C4C2411yescharacteristic
242C23×C4C2411yescharacteristic
243C23×C4C2412yes—
244C23×C4C2411yescharacteristic
245#126—432no—
246C4×D4—232no—
247C4×D4—432no—
248C4×D4—432no—
249C2×C4⋊C4—22no—
250C2×C4⋊C4—24no—
251C2×C4⋊C4—24no—
252C2×C4⋊C4—22no—
253C2×C4⋊C4—22no—
254C2×C4⋊C4—24no—
255C2×C4⋊C4—28no—
256C2×C4⋊C4—24no—
257C2×C4⋊C4—24no—
258C2×C4⋊C4—24no—
259C2×C4⋊C4—24no—
260C2×C4⋊C4—24no—
261C2×C4⋊C4—24no—
262C2×C4⋊C4—24no—
263C2×C4⋊C4—24no—
264C2×C4⋊C4—22no—
265C2×C4⋊C4—22no—
266C2×C4⋊C4—24no—
267C2×C4⋊C4—24no—
268C2×C4⋊C4—24no—
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—22no—
277C2×C4⋊C4—24no—
278C2×C4⋊C4—22no—
279C2×C4⋊C4—24no—
280C2×C4⋊C4—24no—
281C2×C4⋊C4—28no—
282C2×C4⋊C4—432no—
283C2×C4⋊C4—44no—
284C2×C4⋊C4—44no—
285C2×C4⋊C4—42no—
286C2×C4⋊C4—42no—
287C2×C4⋊C4—42no—
288C2×C4⋊C4—42no—
289C2×C4⋊C4—44no—
290C2×C4⋊C4—42no—
291C2×C4⋊C4—44no—
292C2×C4⋊C4—44no—
293C2×C4⋊C4—44no—
294C2×C4⋊C4—42no—
295C2×C4⋊C4—44no—
296C2×C4⋊C4C2×D414yes—
297C2×C4⋊C4C2×D414yes—
298C2×C22⋊C4—24no—
299C2×C22⋊C4—24no—
300C2×C22⋊C4—24no—
301C2×C22⋊C4—22no—
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—28no—
309C2×C22⋊C4—24no—
310C2×C22⋊C4—24no—
311C2×C22⋊C4—28no—
312C2×C22⋊C4—24no—
313C2×C22⋊C4—28no—
314C2×C22⋊C4—28no—
315C2×C22⋊C4—28no—
316C2×C22⋊C4—24no—
317C2×C22⋊C4—24no—
318C2×C22⋊C4—22no—
319C2×C22⋊C4—24no—
320C2×C22⋊C4—24no—
321C2×C22⋊C4—24no—
322C2×C22⋊C4—22no—
323C2×C22⋊C4—28no—
324C2×C22⋊C4—28no—
325C2×C22⋊C4—41no—
326C2×C22⋊C4—42no—
327C2×C22⋊C4—44no—
328C2×C22⋊C4—42no—
329C2×C22⋊C4—42no—
330C2×C22⋊C4—42no—
331C2×C22⋊C4—44no—
332C2×C22⋊C4—44no—
333C2×C22⋊C4—44no—
334C2×C22⋊C4—44no—
335C2×C22⋊C4C2×D414yes—
336C2×C22⋊C4C2×D418yes—
337C2×C42—24no—
338C2×C42—24no—
339C2×C42—24no—
340C2×C42—24no—
341C2×C42—24no—
342C2×C42—28no—
343C2×C42—22no—
344C2×C42—24no—
345C2×C42—28no—
346C2×C42—28no—
347C2×C42C2×D418yes—
348C2×C42C2×D414yes—
349C2×C42#4118yes—
350#95—28no—
351#95—24no—
352#95—22no—
353#95—22no—
354#95—28no—
355#95—24no—
356#95—24no—
357#95—28no—
358#95—28no—
359#95—24no—
360#95—24no—
361#95—24no—
362#95—24no—
363#95—28no—
364#95—28no—
365#95—28no—
366#95—22no—
367#95—24no—
368#95—44no—
369#95—44no—
370#95—44no—
371#95—42no—
372#95—44no—
373#95C2×D414yes—
374#95C2×D418yes—
375C24—22no—
376C24—22no—
377C24—22no—
378C24—22no—
379C24—22no—
380C24—22no—
381C24—22no—
382C24—22no—
383C24—22no—
384C24—22no—
385C24—22no—
386C24—22no—
387C24—21no—
388C24—22no—
389C24—22no—
390C24—21no—
391C24—21no—
392C24—21no—
393C24—21no—
394C24—22no—
395C24—22no—
396C24—21no—
397C24C22×D412yes—
398C24C22×D414yes—
399C24C2×#4114yes—
400C242−1+414yes—
401C24C2511yescharacteristic
402C2×D4—28no—
403C2×D4—28no—
404C2×D4—216no—
405C2×D4—216no—
406C2×D4—216no—
407C2×D4—28no—
408C2×D4—216no—
409C2×D4—48no—
410C2×D4—48no—
411C2×D4—48no—
412C2×D4—48no—
413C2×D4—48no—
414C22×C4—22no—
415C22×C4—22no—
416C22×C4—22no—
417C22×C4—22no—
418C22×C4—22no—
419C22×C4—22no—
420C22×C4—21no—
421C22×C4—22no—
422C22×C4—22no—
423C22×C4—21no—
424C22×C4—22no—
425C22×C4—22no—
426C22×C4—22no—
427C22×C4—22no—
428C22×C4—24no—
429C22×C4—22no—
430C22×C4—22no—
431C22×C4—22no—
432C22×C4—22no—
433C22×C4—22no—
434C22×C4—21no—
435C22×C4—22no—
436C22×C4—22no—
437C22×C4—22no—
438C22×C4—22no—
439C22×C4—22no—
440C22×C4—22no—
441C22×C4—21no—
442C22×C4—22no—
443C22×C4—22no—
444C22×C4—22no—
445C22×C4—22no—
446C22×C4—22no—
447C22×C4—24no—
448C22×C4—22no—
449C22×C4—22no—
450C22×C4—22no—
451C22×C4—21no—
452C22×C4—21no—
453C22×C4—22no—
454C22×C4—216no—
455C22×C4—216no—
456C22×C4—216no—
457C22×C4—21no—
458C22×C4—24no—
459C22×C4—22no—
460C22×C4—22no—
461C22×C4—24no—
462C22×C4—22no—
463C22×C4—24no—
464C22×C4—22no—
465C22×C4—24no—
466C22×C4—24no—
467C22×C4—24no—
468C22×C4—22no—
469C22×C4—22no—
470C22×C4—24no—
471C22×C4—24no—
472C22×C4—21no—
473C22×C4—22no—
474C22×C4—24no—
475C22×C4—22no—
476C22×C4—24no—
477C22×C4—24no—
478C22×C4—22no—
479C22×C4—21no—
480C22×C4—22no—
481C22×C4—22no—
482C22×C4—24no—
483C22×C4—24no—
484C22×C4—24no—
485C22×C4—24no—
486C22×C4—22no—
487C22×C4—24no—
488C22×C4—416no—
489C22×C4—416no—
490C22×C4—48no—
491C22×C4—48no—
492C22×C4—48no—
493C22×C4—48no—
494C22×C4—44no—
495C22×C4—44no—
496C22×C4—44no—
497C22×C4—48no—
498C22×C4—48no—
499C22×C4—88no—
500C22×C4—88no—
501C22×C4—88no—
502C22×C4—88no—
503C22×C4—88no—
504C22×C4C22×D414yes—
505C22×C4C22×D412yes—
506C22×C4C22×D412yes—
507C22×C4C22×D414yes—
508C22×C4C22×D412yes—
509C22×C4C22×D412yes—
510C22×C4C22×D414yes—
511C22×C4C22×D412yes—
512C22×C4C2×#4114yes—
513C22×C4C2×#4114yes—
514C22×C4C2×#4114yes—
515C22×C4C2×#4114yes—
516C22×C4C2×#4114yes—
517C22×C4H(5,𝔽2)12yes—
518C22×C4H(5,𝔽2)12yes—
519C22×C4H(5,𝔽2)12yes—
520C22×C4H(5,𝔽2)12yes—
521C22×C42−1+414yes—
522C4⋊C4—28no—
523C4⋊C4—28no—
524C4⋊C4—28no—
525C4⋊C4—48no—
526C4⋊C4—48no—
527C4⋊C4—48no—
528C4⋊C4—48no—
529C4⋊C4—416no—
530C4⋊C4—44no—
531C4⋊C4—44no—
532C4⋊C4—48no—
533C4⋊C4—48no—
534C4⋊C4—48no—
535C4⋊C4—48no—
536C4⋊C4—88no—
537C4⋊C4—84no—
538C4⋊C4—88no—
539C22⋊C4—216no—
540C22⋊C4—216no—
541C22⋊C4—28no—
542C22⋊C4—216no—
543C22⋊C4—44no—
544C22⋊C4—48no—
545C22⋊C4—416no—
546C22⋊C4—48no—
547C22⋊C4—48no—
548C22⋊C4—48no—
549C22⋊C4—416no—
550C22⋊C4—88no—
551C22⋊C4—88no—
552C42—28no—
553C42—216no—
554C42—216no—
555C42—44no—
556C42—416no—
557C23—24no—
558C23—24no—
559C23—24no—
560C23—24no—
561C23—24no—
562C23—24no—
563C23—24no—
564C23—24no—
565C23—24no—
566C23—24no—
567C23—24no—
568C23—24no—
569C23—24no—
570C23—24no—
571C23—24no—
572C23—24no—
573C23—24no—
574C23—24no—
575C23—22no—
576C23—24no—
577C23—24no—
578C23—22no—
579C23—22no—
580C23—42no—
581C23—42no—
582C23—42no—
583C23—42no—
584C23—42no—
585C23—42no—
586C23—42no—
587C23—42no—
588C23—42no—
589C23—42no—
590C23—42no—
591C23—42no—
592C23—42no—
593C23—42no—
594C23—42no—
595C23—42no—
596C23—41no—
597C23—41no—
598C23—41no—
599C23—42no—
600C23—42no—
601C23—41no—
602C23—41no—
603C23—42no—
604C23—42no—
605C23—42no—
606C23—42no—
607C23—41no—
608C23—42no—
609C23—42no—
610C23—42no—
611C23—41no—
612C23—41no—
613C23—42no—
614C23#54718yes—
615C23C23×D411yescharacteristic
616C23C23×D411yescharacteristic
617C23C22×#4112yes—
618C23C22×#4112yes—
619C23C2×H(5,𝔽2)11yescharacteristic
620C23C2×H(5,𝔽2)11yescharacteristic
621C23C2×H(5,𝔽2)11yescharacteristic
622C23C2×H(5,𝔽2)11yescharacteristic
623C23C2×2−1+412yes—
624C23C2×2−1+412yes—
625C23#58511yescharacteristic
626D4—232no—
627D4—432no—
628C2×C4—22no—
629C2×C4—24no—
630C2×C4—24no—
631C2×C4—24no—
632C2×C4—22no—
633C2×C4—24no—
634C2×C4—24no—
635C2×C4—24no—
636C2×C4—24no—
637C2×C4—24no—
638C2×C4—22no—
639C2×C4—24no—
640C2×C4—24no—
641C2×C4—24no—
642C2×C4—24no—
643C2×C4—24no—
644C2×C4—22no—
645C2×C4—24no—
646C2×C4—24no—
647C2×C4—24no—
648C2×C4—24no—
649C2×C4—22no—
650C2×C4—22no—
651C2×C4—24no—
652C2×C4—24no—
653C2×C4—24no—
654C2×C4—24no—
655C2×C4—22no—
656C2×C4—24no—
657C2×C4—41no—
658C2×C4—41no—
659C2×C4—42no—
660C2×C4—42no—
661C2×C4—44no—
662C2×C4—42no—
663C2×C4—42no—
664C2×C4—41no—
665C2×C4—42no—
666C2×C4—42no—
667C2×C4—42no—
668C2×C4—42no—
669C2×C4—42no—
670C2×C4—41no—
671C2×C4—42no—
672C2×C4—44no—
673C2×C4—42no—
674C2×C4—42no—
675C2×C4—42no—
676C2×C4—42no—
677C2×C4—42no—
678C2×C4—42no—
679C2×C4—432no—
680C2×C4—42no—
681C2×C4—41no—
682C2×C4—41no—
683C2×C4—44no—
684C2×C4—42no—
685C2×C4—41no—
686C2×C4—42no—
687C2×C4—42no—
688C2×C4—44no—
689C2×C4—44no—
690C2×C4—44no—
691C2×C4—44no—
692C2×C4—42no—
693C2×C4—44no—
694C2×C4—42no—
695C2×C4—42no—
696C2×C4—42no—
697C2×C4—44no—
698C2×C4—44no—
699C2×C4—44no—
700C2×C4—42no—
701C2×C4—44no—
702C2×C4—44no—
703C2×C4—42no—
704C2×C4—44no—
705C2×C4—44no—
706C2×C4—42no—
707C2×C4—44no—
708C2×C4—42no—
709C2×C4—44no—
710C2×C4—44no—
711C2×C4—832no—
712C2×C4—88no—
713C2×C4#52514yes—
714C2×C4#53214yes—
715C2×C4#53514yes—
716C2×C4D4214yes—
717C2×C4#54718yes—
718C2×C4#55118yes—
719C2×C4#55318yes—
720C22—28no—
721C22—28no—
722C22—28no—
723C22—44no—
724C22—44no—
725C22—44no—
726C22—44no—
727C22—44no—
728C22—44no—
729C22—44no—
730C22—44no—
731C22—44no—
732C22—44no—
733C22—44no—
734C22—44no—
735C22—42no—
736C22—42no—
737C22—44no—
738C22—44no—
739C22—42no—
740C22—81no—
741C22—81no—
742C22—81no—
743C22—82no—
744C22—82no—
745C22—81no—
746C22C2×#52511yescharacteristic
747C22C2×#53211yescharacteristic
748C22C2×#53511yescharacteristic
749C22C2×D4211yescharacteristic
750C22C2×#54712yes—
751C22C2×#54712yes—
752C22C2×#55112yes—
753C22C2×#55312yes—
754C22#348611yescharacteristic
755C22#348811yescharacteristic
756C22#349212yes—
757C22#349212yes—
758C22#349512yes—
759C22#349512yes—
760C22#349611yescharacteristic
761C22#349811yescharacteristic
762C22#349911yescharacteristic
763C22#351112yes—
764C22#351112yes—
765C22#353812yes—
766C22#354611yescharacteristic
767C22#354911yescharacteristic
768C22#355212yes—
769C4—24no—
770C4—28no—
771C4—44no—
772C4—42no—
773C4—44no—
774C4—42no—
775C4—44no—
776C4—44no—
777C4—42no—
778C4—82no—
779C4—81no—
780C4—84no—
781C4—82no—
782C4—84no—
783C4#260318yescomplemented
784C2—48no—
785C2—82no—
786C2C2×#260311yescharacteristic
787C2#3592611yescharacteristic
788C2#3608911yescharacteristic
789C2#3610311yescharacteristic
790C2#3612711yescharacteristic
791C2#3934211yescharacteristic
792C2#4279211yescharacteristic
793C2#4491412yes—
794C2#4497212yes—
795C2#5919812yes—
796C2#5930412yes—
subgroupG/H
center, commutator, Frattini, socle, cosocleC24C25
prime radicalC2×#392C22
LCSG ▷ C24 ▷ C1
UCSC1 ◁ C24 ◁ G
LECSG ▷ C24 ▷ C1

Complements

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

NH ≅ G/Ntype
2. C2×#2496C2semidirect
3. C2×D4×C4⋊C4C2semidirect
4. #16673C2semidirect
5. #15357C2semidirect
6. #15342C2semidirect
7. #15150C2semidirect
8. #15145C2semidirect
9. #15129C2semidirect
10. #14903C2semidirect
11. #14801C2semidirect
12. #13994C2semidirect
13. #13906C2semidirect
14. #13880C2semidirect
15. #13872C2semidirect
17. #13810C2semidirect
168. C4×C4⋊C4D4semidirect
783. C4#2603semidirect

Maximal subgroups

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

subgroupindex
C2×#26032
C2×#24962
C2×D4×C4⋊C42
#166732
#153572
#153422
#151502
#151452
#151292
#149032
#148012
#139942
#139062
#138802
#138722
C4×#3922
#138102