Finite Group Databasebeta

← #6464482

Subgroups — #6464482

Order 512.

1798 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#36631C211yesmaximal, characteristic
2C4×#533C211yesmaximal, characteristic, complemented
3#29466C214yesmaximal, complemented
4#29434C214yesmaximal, complemented
5#29191C211yesmaximal, characteristic, complemented
6#29177C211yesmaximal, characteristic, complemented
7#28654C211yesmaximal, characteristic, complemented
8#28614C211yesmaximal, characteristic, complemented
9#27890C211yesmaximal, characteristic
10#27876C211yesmaximal, characteristic, complemented
11#25672C211yesmaximal, characteristic, complemented
12#25598C211yesmaximal, characteristic
13#23700C214yesmaximal, complemented
14C4×#498C211yesmaximal, characteristic, complemented
15C4×#492C211yesmaximal, characteristic, complemented
16C4×#487C211yesmaximal, characteristic, complemented
17C4×#486C211yesmaximal, characteristic, complemented
18#21115C214yesmaximal, complemented
19C4×#431C211yesmaximal, characteristic, complemented
20C2×#533C2211yescharacteristic
21C2×#529—21no—
22C2×#498C2211yescharacteristic
23C2×#492C2211yescharacteristic
24C2×#487C2211yescharacteristic
25C2×#486C2211yescharacteristic
26C2×C4×SD16C2214yes—
27C2×#431C2212yes—
28#2861—21no—
29#2860—21no—
30#2860C2212yes—
31#2859C2211yescharacteristic
32#2858C2211yescharacteristic
33#2857C2211yescharacteristic
34#2856C2211yescharacteristic
35#2854—21no—
36#2854C2212yes—
37#2850—21no—
38C4×C4⋊Q8C2211yescharacteristic
39C4×C4⋊Q8C2211yescharacteristic
40C4×C4⋊Q8C2211yescharacteristic
41C4×C4⋊Q8C2211yescharacteristic
42C4×C4⋊Q8C2211yescharacteristic
43C4×#127C2211yescharacteristic
44C4×#125—21no—
45C4×#125—21no—
46C4×#124—21no—
47C4×C22⋊Q8—21no—
48C4×C22⋊Q8—21no—
49C4×C22⋊Q8C2212yes—
50C4×C22⋊Q8C2212yes—
51C4×#121—21no—
52C4×#121C2212yes—
53#2296—21no—
54#2295—21no—
55#2295C2212yes—
56#2293—21no—
57#2293C2212yes—
58#2285C2211yescharacteristic
59C42×Q8—21no—
60C42×Q8C2212yes—
61C4×#117—21no—
62C2×C43C2211yescharacteristic
63#2088C2214yes—
64#2077C2214yes—
65#2066C2214yes—
66#2065C2214yes—
67#2055C2214yes—
68#2035C2214yes—
69#2034C2214yes—
70#2000C2214yes—
71#1990C2211yescharacteristic
72#1990C2211yescharacteristic
73#1990C2211yescharacteristic
74#1990C2211yescharacteristic
75#1968C2214yes—
76#1957C2211yescharacteristic
77#1957C2211yescharacteristic
78#1956C2211yescharacteristic
79#1956C2211yescharacteristic
80#1941C2214yes—
81#1934C2214yes—
82#1933C2214yes—
83#1926C2214yes—
84#1926C2214yes—
85#1919C2214yes—
86#1919C2214yes—
87#1880C2214yes—
88#1880C2214yes—
89#1865C2214yes—
90#1865C2214yes—
91#1844C2211yescharacteristic
92#1844C2211yescharacteristic
93#1834C2211yescharacteristic
94#1834C2211yescharacteristic
95C4×#106C2214yes—
96C4×C4⋊C8C2211yescharacteristic
97C4×C4⋊C8C2211yescharacteristic
98C4×C4⋊C8C2212yes—
99C4×#103C2214yes—
100C4×#102C2214yes—
101C4×C22⋊C8C2212yes—
102C4×C22⋊C8C2211yescharacteristic
103C4×C22⋊C8C2211yescharacteristic
104#1744C2212yes—
105C42×C8C2211yescharacteristic
106C42×C8C2211yescharacteristic
107C22×SD16C2314yes—
108#533—24no—
109#533—24no—
110C2×C4⋊Q8C2311yescharacteristic
111C2×C4⋊Q8C2311yescharacteristic
112C2×C4⋊Q8C2311yescharacteristic
113C2×#127C2311yescharacteristic
114#529—48no—
115C2×#126—22no—
116C2×#125—21no—
117C2×#125—21no—
118C2×#124—21no—
119C2×#124—21no—
120C2×#123—22no—
121C2×C22⋊Q8—21no—
122C2×C22⋊Q8—21no—
123C2×C22⋊Q8C2312yes—
124C2×#121—21no—
125C2×#121—21no—
126C2×#121C2312yes—
127C2×C4×Q8—21no—
128C2×C4×Q8—21no—
129C2×C4×Q8—21no—
130C2×C4×Q8—21no—
131C2×C4×Q8C2312yes—
132C2×C4×Q8C2312yes—
133C2×C4×Q8C2312yes—
134C2×C4×D4—22no—
135C2×C4×D4—21no—
136C2×C4×D4—21no—
137C2×C4×D4C2312yes—
138C2×#117—21no—
139C2×#117—21no—
140C2×#117—22no—
141C22×C42D411yescharacteristic
142C22×C42D411yescharacteristic
143C22×C42D411yescharacteristic
144C22×C42D411yescharacteristic
145C22×C42C2311yescharacteristic
146C22×C42C2311yescharacteristic
147C22×C42C2311yescharacteristic
148#498—24no—
149#492—24no—
150#487—24no—
151#486—24no—
152C4×SD16—216no—
153#431—28no—
154C2×#106C2314yes—
155C2×#106C2314yes—
156C2×#106C2314yes—
157C2×C4⋊C8C2312yes—
158C2×C4⋊C8C2312yes—
159C2×#103C2314yes—
160C2×#103C2314yes—
161C2×#103C2314yes—
162C2×#102C2314yes—
163C2×#102C2314yes—
164C2×#102C2314yes—
165C2×C22⋊C8C2312yes—
166C2×C22⋊C8C2312yes—
167C2×C4×C8C2311yescharacteristic
168C2×C4×C8C2311yescharacteristic
169C2×C4×C8C2311yescharacteristic
170C2×C4×C8C2311yescharacteristic
171C2×C4×C8C2312yes—
172C2×C4×C8C2312yes—
173C2×C4×C8C2312yes—
174C2×C4×C8C2312yes—
175#391—21no—
176#391—21no—
177#391—21no—
178#391—21no—
179#391C2312yes—
180#391C2312yes—
181#390—21no—
182#390—21no—
183#390—21no—
184#390—21no—
185#390—21no—
186#390—21no—
187#390C2312yes—
188#390C2312yes—
189#390C2312yes—
190#390C2312yes—
191#389—21no—
192#389—21no—
193#389—21no—
194#389—21no—
195#389—21no—
196#389—21no—
197#389—21no—
198#389—21no—
199#389—21no—
200#389—21no—
201#389C2312yes—
202#389C2312yes—
203#389C2312yes—
204#389C2312yes—
205#389C2312yes—
206#389C2312yes—
207#388—22no—
208#388—22no—
209#388—22no—
210#388—22no—
211#388—22no—
212#388—22no—
213#388—22no—
214#388—22no—
215#387—22no—
216#387—22no—
217#387—22no—
218#387—22no—
219#386—22no—
220#386—22no—
221#385—22no—
222#385—22no—
223#384C2311yescharacteristic
224#384C2311yescharacteristic
225#384C2311yescharacteristic
226#384C2311yescharacteristic
227#382—21no—
228#382—21no—
229#380—21no—
230#380—21no—
231#380C2312yes—
232#380C2312yes—
233C4×C4⋊C4—21no—
234C4×C4⋊C4—21no—
235C4×C4⋊C4—21no—
236C4×C4⋊C4—21no—
237C4×C4⋊C4—22no—
238C4×C4⋊C4—22no—
239C4×C4⋊C4—22no—
240C4×C4⋊C4—22no—
241C4×C4⋊C4—21no—
242C4×C4⋊C4—21no—
243C4×C4⋊C4—21no—
244C4×C4⋊C4—21no—
245C4×C4⋊C4—22no—
246C4×C4⋊C4—22no—
247C4×C4⋊C4C2312yes—
248C4×C4⋊C4C2312yes—
249C4×C4⋊C4C2312yes—
250C4×C4⋊C4C2312yes—
251C4×C22⋊C4—22no—
252C4×C22⋊C4—22no—
253C4×C22⋊C4—22no—
254C4×C22⋊C4—22no—
255#376—22no—
256C43—22no—
257C43D411yescharacteristic
258C43D411yescharacteristic
259C43D411yescharacteristic
260C43D411yescharacteristic
261C43C2311yescharacteristic
262C43C2311yescharacteristic
263C43C2311yescharacteristic
264C43C2311yescharacteristic
265#340C2314yes—
266#340C2314yes—
267#340C2314yes—
268#340C2314yes—
269#340C2314yes—
270#340C2314yes—
271#336C2312yes—
272#336C2312yes—
273#336C2312yes—
274#336C2312yes—
275C22×Q8—21no—
276C22×Q8—21no—
277C22×Q8C2412yes—
278C22×D4—22no—
279C22×D4—21no—
280C22×D4—21no—
281C22×D4C2412yes—
282C23×C4—22no—
283C23×C4C2×D411yescharacteristic
284C23×C4C2×D411yescharacteristic
285C23×C4C2×D411yescharacteristic
286C23×C4C2×D411yescharacteristic
287C23×C4C2×D411yescharacteristic
288C23×C4C2×D411yescharacteristic
289C23×C4C2411yescharacteristic
290C2×SD16—28no—
291C2×SD16—28no—
292C2×SD16—44no—
293C22×C8C2412yes—
294C22×C8C2412yes—
295C22×C8C2412yes—
296C22×C8C2412yes—
297C4⋊Q8—22no—
298C4⋊Q8—22no—
299C4⋊Q8—22no—
300C4⋊Q8—22no—
301C4⋊Q8#4114yes—
302C4⋊Q8#4114yes—
303#127—22no—
304#127—22no—
305#126—48no—
306#125—28no—
307#125—44no—
308#124—44no—
309#124—44no—
310#123—48no—
311C22⋊Q8—28no—
312C22⋊Q8—24no—
313C22⋊Q8—24no—
314C22⋊Q8—44no—
315#121—44no—
316#121—44no—
317#121—44no—
318C4×Q8—28no—
319C4×Q8—24no—
320C4×Q8—24no—
321C4×Q8—28no—
322C4×Q8—44no—
323C4×Q8—44no—
324C4×Q8—44no—
325C4×Q8—44no—
326C4×D4—28no—
327C4×D4—48no—
328C4×D4—44no—
329C4×D4—44no—
330#117—28no—
331#117—44no—
332#117—48no—
333C2×C4⋊C4—21no—
334C2×C4⋊C4—21no—
335C2×C4⋊C4—21no—
336C2×C4⋊C4—22no—
337C2×C4⋊C4—22no—
338C2×C4⋊C4—22no—
339C2×C4⋊C4—22no—
340C2×C4⋊C4—21no—
341C2×C4⋊C4—21no—
342C2×C4⋊C4—21no—
343C2×C4⋊C4—22no—
344C2×C4⋊C4—21no—
345C2×C4⋊C4—21no—
346C2×C4⋊C4—22no—
347C2×C4⋊C4—21no—
348C2×C4⋊C4—21no—
349C2×C4⋊C4—22no—
350C2×C4⋊C4—22no—
351C2×C4⋊C4—22no—
352C2×C4⋊C4—22no—
353C2×C4⋊C4—21no—
354C2×C4⋊C4—21no—
355C2×C4⋊C4C2412yes—
356C2×C4⋊C4C2412yes—
357C2×C4⋊C4C2412yes—
358C2×C4⋊C4C2412yes—
359C2×C4⋊C4C2412yes—
360C2×C4⋊C4C2412yes—
361C2×C22⋊C4—22no—
362C2×C22⋊C4—22no—
363C2×C22⋊C4—22no—
364C2×C22⋊C4—22no—
365C2×C22⋊C4—22no—
366C2×C22⋊C4—22no—
367C2×C22⋊C4—22no—
368C2×C22⋊C4—22no—
369C2×C22⋊C4—22no—
370C2×C22⋊C4—22no—
371C2×C22⋊C4—22no—
372C2×C22⋊C4—22no—
373C2×C22⋊C4—22no—
374C2×C42—22no—
375C2×C42—24no—
376C2×C42—22no—
377C2×C42—22no—
378C2×C42—24no—
379C2×C42—22no—
380C2×C42—22no—
381C2×C42—22no—
382C2×C42—22no—
383C2×C42—22no—
384C2×C42—22no—
385C2×C42—42no—
386C2×C42—42no—
387C2×C42—42no—
388C2×C42SD1618yescomplemented
389C2×C42C2×D411yescharacteristic
390C2×C42C2×D411yescharacteristic
391C2×C42C2×D411yescharacteristic
392C2×C42C2×D411yescharacteristic
393C2×C42C2×D411yescharacteristic
394C2×C42C2×D411yescharacteristic
395C2×C42C2×D411yescharacteristic
396C2×C42C2×D411yescharacteristic
397C2×C42C2×D411yescharacteristic
398C2×C42C2×D411yescharacteristic
399C2×C42C2×D411yescharacteristic
400C2×C42C2×D411yescharacteristic
401C2×C42C2×D411yescharacteristic
402C2×C42C2×D411yescharacteristic
403C2×C42C2×D411yescharacteristic
404C2×C42C2×D411yescharacteristic
405C2×C42C2×D411yescharacteristic
406C2×C42C2×D411yescharacteristic
407C2×C42C2×D411yescharacteristic
408C2×C42C2×D411yescharacteristic
409C2×C42C2×D411yescharacteristic
410C2×C42C2×D411yescharacteristic
411C2×C42C2411yescharacteristic
412C2×C42C2411yescharacteristic
413C2×C42C2411yescharacteristic
414C2×C42C2411yescharacteristic
415C2×C42C2411yescharacteristic
416C2×C42C2411yescharacteristic
417#106—28no—
418#106—28no—
419#106—44no—
420C4⋊C8—24no—
421C4⋊C8—24no—
422#103—28no—
423#103—28no—
424#103—44no—
425#102—28no—
426#102—28no—
427#102—44no—
428C22⋊C8—24no—
429C22⋊C8—24no—
430C4×C8—24no—
431C4×C8—22no—
432C4×C8—22no—
433C4×C8—22no—
434C4×C8—22no—
435C4×C8—42no—
436C4×C8—42no—
437C4×C8#4118yes—
438#95—22no—
439#95—22no—
440#95—22no—
441#95—22no—
442#95—22no—
443#95—22no—
444#95—22no—
445#95—22no—
446#95—22no—
447#95—22no—
448#95—22no—
449#95—22no—
450#95—22no—
451#95—22no—
452#95—22no—
453#95—22no—
454C24—22no—
455C24C22×D411yescharacteristic
456C2×Q8—24no—
457C2×Q8—22no—
458C2×Q8—24no—
459C2×Q8—24no—
460C2×Q8—42no—
461C2×Q8—42no—
462C2×Q8—42no—
463C2×Q8—42no—
464C2×Q8—42no—
465C2×Q8C2×#4114yes—
466C2×D4—22no—
467C2×D4—24no—
468C2×D4—22no—
469C2×D4—24no—
470C2×D4—44no—
471C2×D4—44no—
472C2×D4—44no—
473C2×D4—42no—
474C2×D4—42no—
475C2×D4—42no—
476C2×D4—42no—
477C2×D4—42no—
478C2×D4—42no—
479C22×C4—22no—
480C22×C4—22no—
481C22×C4—22no—
482C22×C4—22no—
483C22×C4—22no—
484C22×C4—22no—
485C22×C4—22no—
486C22×C4—22no—
487C22×C4—22no—
488C22×C4—22no—
489C22×C4—22no—
490C22×C4—22no—
491C22×C4—21no—
492C22×C4—21no—
493C22×C4—22no—
494C22×C4—22no—
495C22×C4—22no—
496C22×C4—22no—
497C22×C4—22no—
498C22×C4—22no—
499C22×C4—41no—
500C22×C4—41no—
501C22×C4—41no—
502C22×C4—41no—
503C22×C4—41no—
504C22×C4—41no—
505C22×C4—44no—
506C22×C4—44no—
507C22×C4—44no—
508C22×C4C2×SD1614yes—
509C22×C4C2×SD1614yes—
510C22×C4C2×SD1614yes—
511C22×C4C22×D411yescharacteristic
512C22×C4C22×D411yescharacteristic
513C22×C4C22×D411yescharacteristic
514C22×C4C22×D411yescharacteristic
515C22×C4C22×D411yescharacteristic
516C22×C4C22×D411yescharacteristic
517C22×C4C22×D411yescharacteristic
518C22×C4C22×D411yescharacteristic
519C22×C4C22×D411yescharacteristic
520C22×C4C22×D411yescharacteristic
521C22×C4C22×D411yescharacteristic
522C22×C4C22×D411yescharacteristic
523C22×C4C22×D411yescharacteristic
524C22×C4C2511yescharacteristic
525SD16—416no—
526C2×C8—22no—
527C2×C8—22no—
528C2×C8—22no—
529C2×C8—22no—
530C2×C8—22no—
531C2×C8—22no—
532C2×C8—22no—
533C2×C8—22no—
534C2×C8—22no—
535C2×C8—22no—
536C2×C8C2×#4114yes—
537C2×C8C2×#4114yes—
538C4⋊C4—28no—
539C4⋊C4—28no—
540C4⋊C4—24no—
541C4⋊C4—24no—
542C4⋊C4—24no—
543C4⋊C4—22no—
544C4⋊C4—24no—
545C4⋊C4—22no—
546C4⋊C4—24no—
547C4⋊C4—22no—
548C4⋊C4—24no—
549C4⋊C4—24no—
550C4⋊C4—44no—
551C4⋊C4—44no—
552C4⋊C4—42no—
553C4⋊C4—44no—
554C4⋊C4—44no—
555C4⋊C4—44no—
556C4⋊C4—42no—
557C4⋊C4—44no—
558C4⋊C4—42no—
559C4⋊C4—44no—
560C4⋊C4—42no—
561C4⋊C4—44no—
562C4⋊C4—42no—
563C4⋊C4—42no—
564C4⋊C4—42no—
565C4⋊C4—42no—
566C4⋊C4—42no—
567C4⋊C4C2×#4114yes—
568C22⋊C4—28no—
569C22⋊C4—44no—
570C22⋊C4—44no—
571C22⋊C4—44no—
572C22⋊C4—44no—
573C22⋊C4—44no—
574C22⋊C4—44no—
575C22⋊C4—44no—
576C22⋊C4—44no—
577C22⋊C4—44no—
578C22⋊C4—44no—
579C22⋊C4—44no—
580C22⋊C4—44no—
581C42—28no—
582C42—22no—
583C42—22no—
584C42—22no—
585C42—22no—
586C42—22no—
587C42—22no—
588C42—22no—
589C42—22no—
590C42—22no—
591C42—22no—
592C42—22no—
593C42—22no—
594C42—21no—
595C42—21no—
596C42—22no—
597C42—22no—
598C42—41no—
599C42—41no—
600C42—41no—
601C42—41no—
602C42—41no—
603C42—41no—
604C42—44no—
605C42—44no—
606C42—44no—
607C42—44no—
608C42—44no—
609C42—44no—
610C42C2×SD1614yes—
611C42C2×SD1614yes—
612C42C2×SD1614yes—
613C42C2×SD1614yes—
614C42#13514yes—
615C42C2×#4112yes—
616C42C2×#4112yes—
617C42C2×#4114yes—
618C23—21no—
619C23—21no—
620C23—21no—
621C23—21no—
622C23—21no—
623C23—21no—
624C23—42no—
625C23—42no—
626C23—42no—
627C23—42no—
628C23—42no—
629C23—42no—
630C23—42no—
631C23C22×SD1612yes—
632C23C23×D411yescharacteristic
633Q8—28no—
634Q8—48no—
635Q8—44no—
636Q8—84no—
637D4—44no—
638D4—44no—
639D4—88no—
640D4—84no—
641D4—84no—
642C2×C4—21no—
643C2×C4—21no—
644C2×C4—21no—
645C2×C4—21no—
646C2×C4—21no—
647C2×C4—21no—
648C2×C4—21no—
649C2×C4—21no—
650C2×C4—21no—
651C2×C4—21no—
652C2×C4—21no—
653C2×C4—21no—
654C2×C4—28no—
655C2×C4—28no—
656C2×C4—21no—
657C2×C4—21no—
658C2×C4—24no—
659C2×C4—24no—
660C2×C4—21no—
661C2×C4—21no—
662C2×C4—21no—
663C2×C4—21no—
664C2×C4—21no—
665C2×C4—21no—
666C2×C4—21no—
667C2×C4—21no—
668C2×C4—21no—
669C2×C4—21no—
670C2×C4—44no—
671C2×C4—44no—
672C2×C4—44no—
673C2×C4—42no—
674C2×C4—42no—
675C2×C4—42no—
676C2×C4—42no—
677C2×C4—44no—
678C2×C4—42no—
679C2×C4—42no—
680C2×C4—42no—
681C2×C4—42no—
682C2×C4—42no—
683C2×C4—42no—
684C2×C4—42no—
685C2×C4—42no—
686C2×C4—42no—
687C2×C4—42no—
688C2×C4—42no—
689C2×C4—42no—
690C2×C4—42no—
691C2×C4—42no—
692C2×C4—42no—
693C2×C4—42no—
694C2×C4—42no—
695C2×C4—88no—
696C2×C4#52512yes—
697C2×C4#52512yes—
698C2×C4#53212yes—
699C2×C4#53212yes—
700C2×C4C22×SD1612yes—
701C2×C4C22×SD1612yes—
702C2×C4C22×SD1612yes—
703C2×C4C22×SD1612yes—
704C2×C4C22×SD1612yes—
705C2×C4C22×SD1612yes—
706C2×C4C2×#13512yes—
707C2×C4C2×#13512yes—
708C2×C4C2×#13512yes—
709C2×C4#57512yes—
710C2×C4#57512yes—
711C2×C4C22×#4111yescharacteristic
712C2×C4C22×#4112yes—
713C2×C4C22×#4111yescharacteristic
714C2×C4#58512yes—
715C8—24no—
716C8—24no—
717C8—42no—
718C8—42no—
719C22—22no—
720C22—22no—
721C22—22no—
722C22—41no—
723C22—41no—
724C22—41no—
725C22—41no—
726C22—82no—
727C22—82no—
728C22—82no—
729C22—82no—
730C22—82no—
731C22—82no—
732C22—82no—
733C22C2×#52511yescharacteristic
734C22C2×#53211yescharacteristic
735C22#344911yescharacteristic
736C22C23×SD1611yescharacteristic
737C22C22×#13511yescharacteristic
738C22C2×#57511yescharacteristic
739C22C2×#57511yescharacteristic
740C4—22no—
741C4—22no—
742C4—22no—
743C4—22no—
744C4—22no—
745C4—22no—
746C4—41no—
747C4—41no—
748C4—41no—
749C4—44no—
750C4—41no—
751C4—44no—
752C4—82no—
753C4—82no—
754C4—82no—
755C4—82no—
756C4—82no—
757C4#310214yes—
758C4#310314yes—
759C4#316714yes—
760C4#347512yes—
761C4#348012yes—
762C2—42no—
763C2—162no—
764C2#3491011yescharacteristic
765C2C2×#310211yescharacteristic
766C2C2×#310311yescharacteristic
767C2C2×#316711yescharacteristic
768C2#6069311yescharacteristic
769C2#6094111yescharacteristic
770C2#6094411yescharacteristic
subgroupG/H
centerC22×C4C22×D4
commutator, Frattini, cosocleC22×C4C25
socleC23C23×D4
prime radical#2856C22
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C22×C4 ◁ C2×C43 ◁ G
LECSG ▷ C22×C4 ▷ C2 ▷ C1

Complements

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

NH ≅ G/Ntype
2. C4×#533C2semidirect
3. #29466C2semidirect
4. #29434C2semidirect
5. #29191C2semidirect
6. #29177C2semidirect
7. #28654C2semidirect
8. #28614C2semidirect
10. #27876C2semidirect
11. #25672C2semidirect
13. #23700C2semidirect
14. C4×#498C2semidirect
15. C4×#492C2semidirect
16. C4×#487C2semidirect
17. C4×#486C2semidirect
18. #21115C2semidirect
19. C4×#431C2semidirect
388. C2×C42SD16semidirect

Maximal subgroups

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

subgroupindex
#366312
C4×#5332
#294662
#294342
#291912
#291772
#286542
#286142
#278902
#278762
#256722
#255982
#237002
C4×#4982
C4×#4922
C4×#4872
C4×#4862
#211152
C4×#4312