Finite Group Databasebeta

← #216777

Subgroups — #216777

Order 512.

1597 conjugacy classes of subgroups.

The subgroup lattice has 772 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#36621C211yesmaximal, characteristic
2#20715C211yesmaximal, characteristic, complemented
3C2×C4⋊#95C211yesmaximal, characteristic, complemented
4#9887C212yesmaximal, complemented
5#9682C212yesmaximal, complemented
6#9147C212yesmaximal
7#9143C212yesmaximal, complemented
8#8578C212yesmaximal, complemented
9#8577C212yesmaximal, complemented
10C2×#529C411yescharacteristic, complemented
11C23×C4⋊C4—21no—
12C23×C42C2211yescharacteristic
13C2×#432—21no—
14#2855C411yescharacteristic, complemented
15#2854C411yescharacteristic, complemented
16#2853—21no—
17#2852—21no—
18#2852—21no—
19#2851C411yescharacteristic, complemented
20#2851C2211yescharacteristic
21#2850C411yescharacteristic, complemented
22#2850C2211yescharacteristic
23#2849—21no—
24#2848C2211yescharacteristic
25#2847C2211yescharacteristic
26C4×C22⋊Q8C411yescharacteristic, complemented
27C4×C22⋊Q8C2211yescharacteristic
28C4×#123—21no—
29C4×#121C411yescharacteristic, complemented
30C4×#121C2211yescharacteristic
31C4×#120—21no—
32#2290—21no—
33#2290—21no—
34#2283C411yescharacteristic, complemented
35C22×#95—21no—
36C22×#95C2212yes—
37#1817—21no—
38#1797—21no—
39#1797C2212yes—
40#1779C2212yes—
41#1749—21no—
42#1749C2212yes—
43C2×#328C2214yes—
44C2×#327C2214yes—
45C4⋊#95—21no—
46C4⋊#95—21no—
47C4⋊#95C2212yes—
48C4⋊#95C2212yes—
49#1294C2214yes—
50#1294C2214yes—
51C24×C4—22no—
52C24×C4D411yescharacteristic
53C24×C4D411yescharacteristic
54C24×C4C2311yescharacteristic
55#529—44no—
56C2×#126—21no—
57C2×#125C2×C411yescharacteristic, complemented
58C2×#124C2×C411yescharacteristic, complemented
59C2×#123—21no—
60C2×#123—21no—
61C2×C22⋊Q8C2×C411yescharacteristic
62C2×C22⋊Q8C2×C411yescharacteristic
63C2×C22⋊Q8C2311yescharacteristic
64C2×#121C2×C411yescharacteristic
65C2×#121C2×C411yescharacteristic
66C2×#121C2311yescharacteristic
67C2×#120—21no—
68C2×C4×Q8C2×C411yescharacteristic, complemented
69C2×C4×D4—21no—
70C2×C4×D4—21no—
71C2×C4×D4—21no—
72C2×C4×D4C2×C411yescharacteristic, complemented
73C2×#117—21no—
74C22×C4⋊C4—28no—
75C22×C4⋊C4—22no—
76C22×C4⋊C4—22no—
77C22×C4⋊C4—44no—
78C22×C4⋊C4—44no—
79C22×C42—44no—
80C22×C42C2×C411yescharacteristic
81C22×C42C2×C411yescharacteristic
82C22×C42C2×C411yescharacteristic
83C22×C42C2×C411yescharacteristic
84C22×C42D411yescharacteristic
85C22×C42D411yescharacteristic
86C22×C42D411yescharacteristic
87C22×C42D411yescharacteristic
88C22×C42D411yescharacteristic
89C22×C42D411yescharacteristic
90C22×C42C2311yescharacteristic
91C22×C42C2311yescharacteristic
92#432—44no—
93C2×C4⋊C8—22no—
94C2×C22⋊C8—22no—
95C2×C22⋊C8—22no—
96C2×C22⋊C8C2314yes—
97C2×#97—22no—
98#391C2×C411yescharacteristic, complemented
99#391C2×C411yescharacteristic, complemented
100#390C2×C411yescharacteristic, complemented
101#390C2×C411yescharacteristic, complemented
102#389C2×C411yescharacteristic, complemented
103#389C2×C411yescharacteristic, complemented
104#389C2×C411yescharacteristic, complemented
105#389C2×C411yescharacteristic, complemented
106#388—21no—
107#388—21no—
108#388—21no—
109#388—21no—
110#388—21no—
111#388—21no—
112#388—21no—
113#388—21no—
114#387—21no—
115#387—21no—
116#387—21no—
117#387—21no—
118#387—21no—
119#387—21no—
120#387—21no—
121#387—21no—
122#386—21no—
123#386—21no—
124#386—21no—
125#386—21no—
126#386—21no—
127#386—21no—
128#386—21no—
129#386—21no—
130#386—21no—
131#386—21no—
132#385—21no—
133#385—21no—
134#385—21no—
135#385—21no—
136#385—21no—
137#385—21no—
138#385—21no—
139#385—21no—
140#385—21no—
141#385—21no—
142#383—21no—
143#382C2×C411yescharacteristic, complemented
144#382C2×C411yescharacteristic, complemented
145#381—21no—
146#381—21no—
147#380C2×C411yescharacteristic
148#380C2×C411yescharacteristic
149#380C2×C411yescharacteristic
150#380C2×C411yescharacteristic
151#380C2311yescharacteristic
152#380C2311yescharacteristic
153#379—21no—
154C4×C4⋊C4—21no—
155C4×C4⋊C4—21no—
156C4×C4⋊C4C2×C411yescharacteristic, complemented
157C4×C4⋊C4C2×C411yescharacteristic, complemented
158C4×C22⋊C4—21no—
159C4×C22⋊C4—21no—
160C4×C22⋊C4—21no—
161C4×C22⋊C4—21no—
162C4×C22⋊C4—21no—
163#376—21no—
164C2×#95—22no—
165C2×#95—22no—
166C2×#95—22no—
167C2×#95—44no—
168C2×#95—44no—
169C2×#95C2314yes—
170#336—22no—
171#336—22no—
172#328—44no—
173#327—44no—
174C25C2×D411yescharacteristic
175C22×Q8C22×C411yescharacteristic
176C22×D4—21no—
177C22×D4—21no—
178C22×D4—21no—
179C22×D4C22×C411yescharacteristic
180C23×C4—22no—
181C23×C4—22no—
182C23×C4—24no—
183C23×C4—24no—
184C23×C4—22no—
185C23×C4—22no—
186C23×C4—22no—
187C23×C4—22no—
188C23×C4—28no—
189C23×C4—24no—
190C23×C4—21no—
191C23×C4—42no—
192C23×C4—42no—
193C23×C4—42no—
194C23×C4—42no—
195C23×C4—44no—
196C23×C4—44no—
197C23×C4—44no—
198C23×C4—44no—
199C23×C4—44no—
200C23×C4—44no—
201C23×C4C22⋊C411yescharacteristic
202C23×C4C22⋊C411yescharacteristic
203C23×C4C22⋊C411yescharacteristic
204C23×C4C22⋊C411yescharacteristic
205C23×C4C22⋊C411yescharacteristic
206C23×C4C22⋊C411yescharacteristic
207C23×C4C22⋊C411yescharacteristic
208C23×C4C22⋊C411yescharacteristic
209C23×C4C22×C411yescharacteristic
210C23×C4C22×C411yescharacteristic
211C23×C4C2×D411yescharacteristic
212C23×C4C2×D411yescharacteristic
213C23×C4C2×D411yescharacteristic
214C23×C4C2×D411yescharacteristic
215C23×C4C2×D411yescharacteristic
216C23×C4C2×D411yescharacteristic
217C23×C4C2×D411yescharacteristic
218C23×C4C2411yescharacteristic
219C22×C8—24no—
220#126—44no—
221#125—42no—
222#124—42no—
223#123—44no—
224#123—44no—
225C22⋊Q8—22no—
226C22⋊Q8—22no—
227C22⋊Q8—42no—
228C22⋊Q8—42no—
229#121—22no—
230#121—22no—
231#121—42no—
232#121—42no—
233#120—42no—
234#120—42no—
235C4×Q8—42no—
236C4×D4—42no—
237C4×D4—44no—
238C4×D4—44no—
239C4×D4—42no—
240C4×D4—42no—
241#117—44no—
242C2×C4⋊C4—28no—
243C2×C4⋊C4—28no—
244C2×C4⋊C4—21no—
245C2×C4⋊C4—21no—
246C2×C4⋊C4—21no—
247C2×C4⋊C4—21no—
248C2×C4⋊C4—21no—
249C2×C4⋊C4—21no—
250C2×C4⋊C4—21no—
251C2×C4⋊C4—21no—
252C2×C4⋊C4—21no—
253C2×C4⋊C4—21no—
254C2×C4⋊C4—432no—
255C2×C4⋊C4—44no—
256C2×C4⋊C4—44no—
257C2×C4⋊C4—44no—
258C2×C4⋊C4—44no—
259C2×C4⋊C4C22×C411yescharacteristic
260C2×C4⋊C4C22×C411yescharacteristic
261C2×C4⋊C4C22×C411yescharacteristic
262C2×C4⋊C4C22×C411yescharacteristic
263C2×C4⋊C4C22×C411yescharacteristic
264C2×C4⋊C4C22×C411yescharacteristic
265C2×C22⋊C4—21no—
266C2×C22⋊C4—21no—
267C2×C22⋊C4—21no—
268C2×C22⋊C4—21no—
269C2×C22⋊C4—21no—
270C2×C22⋊C4—21no—
271C2×C22⋊C4—21no—
272C2×C22⋊C4—21no—
273C2×C22⋊C4—21no—
274C2×C22⋊C4—21no—
275C2×C22⋊C4—21no—
276C2×C22⋊C4—21no—
277C2×C22⋊C4—21no—
278C2×C22⋊C4—21no—
279C2×C22⋊C4—21no—
280C2×C22⋊C4—21no—
281C2×C22⋊C4—21no—
282C2×C22⋊C4—21no—
283C2×C22⋊C4—21no—
284C2×C42—24no—
285C2×C42—24no—
286C2×C42—21no—
287C2×C42—21no—
288C2×C42—21no—
289C2×C42—42no—
290C2×C42—42no—
291C2×C42—42no—
292C2×C42—42no—
293C2×C42—42no—
294C2×C42—42no—
295C2×C42—42no—
296C2×C42—42no—
297C2×C42—42no—
298C2×C42—42no—
299C2×C42C22⋊C411yescharacteristic
300C2×C42C22⋊C411yescharacteristic
301C2×C42C22⋊C411yescharacteristic
302C2×C42C22⋊C411yescharacteristic
303C2×C42C22⋊C411yescharacteristic
304C2×C42C22⋊C411yescharacteristic
305C2×C42C22⋊C411yescharacteristic
306C2×C42C22⋊C411yescharacteristic
307C2×C42C22×C411yescharacteristic
308C2×C42C22×C411yescharacteristic
309C2×C42C22×C411yescharacteristic
310C2×C42C22×C411yescharacteristic
311C2×C42C2×D411yescharacteristic
312C2×C42C2×D411yescharacteristic
313C2×C42C2×D411yescharacteristic
314C2×C42C2×D411yescharacteristic
315C4⋊C8—44no—
316C22⋊C8—24no—
317C22⋊C8—24no—
318C22⋊C8—44no—
319C22⋊C8—44no—
320#97—44no—
321#95—21no—
322#95—21no—
323#95—21no—
324#95—21no—
325#95—21no—
326#95—21no—
327#95—21no—
328#95—21no—
329#95—21no—
330#95—21no—
331#95—21no—
332#95—21no—
333#95—21no—
334#95—21no—
335#95—21no—
336#95—21no—
337#95—21no—
338#95—21no—
339#95—21no—
340#95—21no—
341#95—24no—
342#95—24no—
343#95—44no—
344#95—44no—
345#95—44no—
346C24—21no—
347C24—21no—
348C24—21no—
349C24—21no—
350C24—22no—
351C24—22no—
352C24—22no—
353C24—22no—
354C24—21no—
355C24C2×C22⋊C411yescharacteristic
356C24C2×C22⋊C411yescharacteristic
357C24AGL(1,ℤ/8)12yes—
358C24#13712yes—
359C24C22×D411yescharacteristic
360C2×Q8—22no—
361C2×Q8—41no—
362C2×Q8—41no—
363C2×D4—22no—
364C2×D4—41no—
365C2×D4—41no—
366C2×D4—41no—
367C2×D4—41no—
368C2×D4—41no—
369C2×D4—41no—
370C2×D4—41no—
371C2×D4—41no—
372C2×D4—42no—
373C2×D4—42no—
374C2×D4—42no—
375C2×D4—42no—
376C2×D4—42no—
377C2×D4—42no—
378C22×C4—216no—
379C22×C4—216no—
380C22×C4—21no—
381C22×C4—21no—
382C22×C4—21no—
383C22×C4—21no—
384C22×C4—22no—
385C22×C4—22no—
386C22×C4—22no—
387C22×C4—22no—
388C22×C4—22no—
389C22×C4—22no—
390C22×C4—22no—
391C22×C4—22no—
392C22×C4—22no—
393C22×C4—22no—
394C22×C4—22no—
395C22×C4—22no—
396C22×C4—22no—
397C22×C4—22no—
398C22×C4—21no—
399C22×C4—21no—
400C22×C4—21no—
401C22×C4—21no—
402C22×C4—22no—
403C22×C4—22no—
404C22×C4—22no—
405C22×C4—22no—
406C22×C4—22no—
407C22×C4—22no—
408C22×C4—22no—
409C22×C4—22no—
410C22×C4—22no—
411C22×C4—22no—
412C22×C4—22no—
413C22×C4—22no—
414C22×C4—22no—
415C22×C4—22no—
416C22×C4—22no—
417C22×C4—22no—
418C22×C4—28no—
419C22×C4—21no—
420C22×C4—21no—
421C22×C4—21no—
422C22×C4—21no—
423C22×C4—21no—
424C22×C4—21no—
425C22×C4—21no—
426C22×C4—41no—
427C22×C4—41no—
428C22×C4—41no—
429C22×C4—41no—
430C22×C4—41no—
431C22×C4—41no—
432C22×C4—41no—
433C22×C4—41no—
434C22×C4—41no—
435C22×C4—41no—
436C22×C4—41no—
437C22×C4—41no—
438C22×C4—41no—
439C22×C4—41no—
440C22×C4—41no—
441C22×C4—41no—
442C22×C4—42no—
443C22×C4—42no—
444C22×C4—48no—
445C22×C4—48no—
446C22×C4—48no—
447C22×C4—48no—
448C22×C4—44no—
449C22×C4—416no—
450C22×C4—416no—
451C22×C4—416no—
452C22×C4—44no—
453C22×C4—44no—
454C22×C4—44no—
455C22×C4—44no—
456C22×C4—44no—
457C22×C4—42no—
458C22×C4—88no—
459C22×C4—88no—
460C22×C4—88no—
461C22×C4—88no—
462C22×C4#9914yes—
463C22×C4#10414yes—
464C22×C4C2×C22⋊C411yescharacteristic
465C22×C4C2×C22⋊C411yescharacteristic
466C22×C4C2×C22⋊C411yescharacteristic
467C22×C4C2×C22⋊C411yescharacteristic
468C22×C4C2×C22⋊C411yescharacteristic
469C22×C4C2×C22⋊C411yescharacteristic
470C22×C4C2×C22⋊C411yescharacteristic
471C22×C4C2×C22⋊C411yescharacteristic
472C22×C4C2×C22⋊C411yescharacteristic
473C22×C4C2×C22⋊C411yescharacteristic
474C22×C4AGL(1,ℤ/8)12yes—
475C22×C4#13712yes—
476C22×C4C23×C411yescharacteristic
477C22×C4C22×D411yescharacteristic
478C22×C4H(5,𝔽2)12yes—
479C22×C42−1+412yes—
480C2×C8—44no—
481C2×C8—44no—
482C2×C8—44no—
483C4⋊C4—22no—
484C4⋊C4—22no—
485C4⋊C4—41no—
486C4⋊C4—41no—
487C4⋊C4—41no—
488C4⋊C4—41no—
489C4⋊C4—416no—
490C4⋊C4—416no—
491C4⋊C4—42no—
492C4⋊C4—42no—
493C4⋊C4—42no—
494C4⋊C4—42no—
495C4⋊C4—42no—
496C4⋊C4—42no—
497C4⋊C4—42no—
498C4⋊C4—42no—
499C4⋊C4—42no—
500C4⋊C4—42no—
501C22⋊C4—42no—
502C22⋊C4—42no—
503C22⋊C4—42no—
504C22⋊C4—42no—
505C22⋊C4—41no—
506C22⋊C4—41no—
507C22⋊C4—41no—
508C22⋊C4—41no—
509C22⋊C4—41no—
510C22⋊C4—41no—
511C22⋊C4—42no—
512C22⋊C4—42no—
513C22⋊C4—42no—
514C22⋊C4—42no—
515C22⋊C4—42no—
516C22⋊C4—42no—
517C22⋊C4—42no—
518C22⋊C4—42no—
519C22⋊C4—42no—
520C22⋊C4—42no—
521C22⋊C4—42no—
522C22⋊C4—42no—
523C42—22no—
524C42—22no—
525C42—22no—
526C42—22no—
527C42—22no—
528C42—22no—
529C42—22no—
530C42—22no—
531C42—41no—
532C42—41no—
533C42—41no—
534C42—41no—
535C42—41no—
536C42—41no—
537C42—41no—
538C42—41no—
539C42—42no—
540C42—42no—
541C42—42no—
542C23—24no—
543C23—24no—
544C23—24no—
545C23—24no—
546C23—24no—
547C23—24no—
548C23—24no—
549C23—24no—
550C23—21no—
551C23—21no—
552C23—21no—
553C23—21no—
554C23—21no—
555C23—21no—
556C23—21no—
557C23—21no—
558C23—21no—
559C23—21no—
560C23—21no—
561C23—21no—
562C23—22no—
563C23—22no—
564C23—22no—
565C23—22no—
566C23—24no—
567C23—24no—
568C23—24no—
569C23—24no—
570C23—41no—
571C23—41no—
572C23—41no—
573C23—41no—
574C23—41no—
575C23—41no—
576C23—41no—
577C23C2×#9912yes—
578C23#41012yes—
579C23#41712yes—
580C23#41712yes—
581C23C2×#10412yes—
582C23#42112yes—
583C23C22×C22⋊C411yescharacteristic
584C23#53511yescharacteristic
585C23#53611yescharacteristic
586C23C2×AGL(1,ℤ/8)11yescharacteristic
587C23C2×AGL(1,ℤ/8)11yescharacteristic
588C23C2×#13711yescharacteristic
589C23C2×#13711yescharacteristic
590Q8—82no—
591D4—82no—
592D4—81no—
593D4—81no—
594D4—81no—
595D4—81no—
596D4—84no—
597D4—84no—
598C2×C4—24no—
599C2×C4—24no—
600C2×C4—24no—
601C2×C4—24no—
602C2×C4—28no—
603C2×C4—28no—
604C2×C4—21no—
605C2×C4—21no—
606C2×C4—21no—
607C2×C4—21no—
608C2×C4—21no—
609C2×C4—21no—
610C2×C4—21no—
611C2×C4—21no—
612C2×C4—21no—
613C2×C4—21no—
614C2×C4—21no—
615C2×C4—21no—
616C2×C4—21no—
617C2×C4—21no—
618C2×C4—21no—
619C2×C4—21no—
620C2×C4—28no—
621C2×C4—28no—
622C2×C4—21no—
623C2×C4—21no—
624C2×C4—21no—
625C2×C4—21no—
626C2×C4—21no—
627C2×C4—21no—
628C2×C4—21no—
629C2×C4—21no—
630C2×C4—21no—
631C2×C4—21no—
632C2×C4—21no—
633C2×C4—21no—
634C2×C4—42no—
635C2×C4—42no—
636C2×C4—42no—
637C2×C4—42no—
638C2×C4—44no—
639C2×C4—44no—
640C2×C4—44no—
641C2×C4—44no—
642C2×C4—44no—
643C2×C4—44no—
644C2×C4—44no—
645C2×C4—44no—
646C2×C4—42no—
647C2×C4—42no—
648C2×C4—42no—
649C2×C4—42no—
650C2×C4—48no—
651C2×C4—48no—
652C2×C4—48no—
653C2×C4—41no—
654C2×C4—41no—
655C2×C4—41no—
656C2×C4—41no—
657C2×C4—41no—
658C2×C4—41no—
659C2×C4—41no—
660C2×C4—41no—
661C2×C4—41no—
662C2×C4—41no—
663C2×C4—41no—
664C2×C4—41no—
665C2×C4—41no—
666C2×C4—41no—
667C2×C4—41no—
668C2×C4—41no—
669C2×C4—41no—
670C2×C4—41no—
671C2×C4—41no—
672C2×C4—41no—
673C2×C4—41no—
674C2×C4—84no—
675C2×C4—832no—
676C2×C4—84no—
677C2×C4—84no—
678C2×C4—84no—
679C2×C4—84no—
680C2×C4C2×#9912yes—
681C2×C4C2×#9912yes—
682C2×C4#41712yes—
683C2×C4#41712yes—
684C2×C4C2×#10412yes—
685C2×C4C2×#10412yes—
686C2×C4#52012yes—
687C2×C4#53712yes—
688C8—84no—
689C22—28no—
690C22—28no—
691C22—28no—
692C22—28no—
693C22—22no—
694C22—22no—
695C22—21no—
696C22—21no—
697C22—22no—
698C22—22no—
699C22—21no—
700C22—21no—
701C22—22no—
702C22—21no—
703C22—21no—
704C22—22no—
705C22—22no—
706C22—21no—
707C22—21no—
708C22—22no—
709C22—22no—
710C22—21no—
711C22—21no—
712C22—22no—
713C22—21no—
714C22—21no—
715C22—22no—
716C22—22no—
717C22—81no—
718C22—81no—
719C22—81no—
720C22—81no—
721C22—81no—
722C22—81no—
723C22—81no—
724C22#150414yes—
725C22#151214yes—
726C22#231111yescharacteristic
727C22C22×#9911yescharacteristic
728C22C2×#41011yescharacteristic
729C22C2×#41711yescharacteristic
730C22C2×#41711yescharacteristic
731C22C22×#10411yescharacteristic
732C22C2×#42111yescharacteristic
733C22#321711yescharacteristic
734C22#321811yescharacteristic
735C22#323811yescharacteristic
736C22#323911yescharacteristic
737C4—22no—
738C4—22no—
739C4—22no—
740C4—22no—
741C4—22no—
742C4—22no—
743C4—22no—
744C4—22no—
745C4—41no—
746C4—41no—
747C4—41no—
748C4—41no—
749C4—88no—
750C4—81no—
751C4—81no—
752C4—81no—
753C4—81no—
754C4—81no—
755C4—81no—
756C4—81no—
757C2—21no—
758C2—21no—
759C2—21no—
760C2—21no—
761C2—24no—
762C2—24no—
763C2—161no—
764C2C2×#150411yescharacteristic
765C2#1754611yescharacteristic
766C2C2×#151211yescharacteristic
767C2#1759211yescharacteristic
768C2#2186711yescharacteristic
769C2#2187411yescharacteristic
770C2#2189911yescharacteristic
subgroupG/H
center, socleC23C22×C22⋊C4
commutatorC22×C4C23×C4
Frattini, cosocleC23×C4C24
prime radical#2847C22
LCSG ▷ C22×C4 ▷ C22 ▷ C1
UCSC1 ◁ C23 ◁ C23×C42 ◁ G
LECSG ▷ C23×C4 ▷ C22 ▷ C1

Complements

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

NH ≅ G/Ntype
2. #20715C2semidirect
3. C2×C4⋊#95C2semidirect
4. #9887C2semidirect
5. #9682C2semidirect
7. #9143C2semidirect
8. #8578C2semidirect
9. #8577C2semidirect
10. C2×#529C4semidirect
14. #2855C4semidirect
15. #2854C4semidirect
19. #2851C4semidirect
21. #2850C4semidirect
26. C4×C22⋊Q8C4semidirect
29. C4×#121C4semidirect
34. #2283C4semidirect
57. C2×#125C2×C4semidirect
58. C2×#124C2×C4semidirect
68. C2×C4×Q8C2×C4semidirect
72. C2×C4×D4C2×C4semidirect
98. #391C2×C4semidirect
99. #391C2×C4semidirect
100. #390C2×C4semidirect
101. #390C2×C4semidirect
102. #389C2×C4semidirect
103. #389C2×C4semidirect
104. #389C2×C4semidirect
105. #389C2×C4semidirect
143. #382C2×C4semidirect
144. #382C2×C4semidirect
156. C4×C4⋊C4C2×C4semidirect
157. C4×C4⋊C4C2×C4semidirect

Maximal subgroups

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

subgroupindex
#366212
#207152
C2×C4⋊#952
#98872
#96822
#91472
#91432
#85782
#85772