Finite Group Databasebeta

← #6467728

Subgroups — #6467728

Order 512.

2262 conjugacy classes of subgroups.

The subgroup lattice has 810 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3171C212yesmaximal, complemented
2#36631C211yesmaximal, characteristic, complemented
3C4×#532C211yesmaximal, characteristic, complemented
4#28753C211yesmaximal, characteristic, complemented
5#28722C211yesmaximal, characteristic, complemented
6#28692C211yesmaximal, characteristic, complemented
7#28658C212yesmaximal, complemented
8#28618C212yesmaximal, complemented
9#28578C212yesmaximal, complemented
10#28577C212yesmaximal, complemented
11#28445C211yesmaximal, characteristic, complemented
12#24756C214yesmaximal, complemented
13#23677C212yesmaximal, complemented
14#23676C212yesmaximal, complemented
15C4×#463C214yesmaximal, complemented
16#21403C212yesmaximal, complemented
17C4×#423C211yesmaximal, characteristic, complemented
18C2×#532C2211yescharacteristic
19C2×#529C2212yes—
20C2×C4×#41—21no—
21#3171—216no—
22C2×#501C2212yes—
23C2×#496C2212yes—
24C2×#490C2212yes—
25C2×#489C2212yes—
26C2×#469C2214yes—
27C2×#468C2214yes—
28C2×#463C2214yes—
29C2×C4×SD16C2214yes—
30C2×C4×D8C2214yes—
31C2×#423C2212yes—
32C2×C4×M16C2212yes—
33#2861C2212yes—
34#2860—21no—
35#2860—21no—
36#2859C2211yescharacteristic
37#2858C2211yescharacteristic
38#2857C2211yescharacteristic
39#2856C2211yescharacteristic
40#2854—21no—
41#2854—21no—
42#2850C2212yes—
43C4×C4⋊Q8C2211yescharacteristic
44C4×C4⋊Q8C2211yescharacteristic
45C4×C4⋊Q8C2211yescharacteristic
46C4×#127C2211yescharacteristic
47C4×#127C2211yescharacteristic
48C4×#127C2211yescharacteristic
49C4×#124—21no—
50C4×#124—21no—
51C4×#124C2212yes—
52C4×#121—21no—
53C4×#121—21no—
54C4×#121—21no—
55C4×#121—21no—
56C4×#121C2212yes—
57C4×#121C2212yes—
58#2297—21no—
59#2293—21no—
60#2293—21no—
61#2293—21no—
62#2293C2212yes—
63#2285C2211yescharacteristic
64C42×D4—21no—
65C42×D4C2212yes—
66C2×C43C2211yescharacteristic
67#2084C2212yes—
68#2083C2212yes—
69#2071C2212yes—
70#2071C2212yes—
71#2067C2214yes—
72#2066C2214yes—
73#2055C2214yes—
74#2054C2214yes—
75#2043C2212yes—
76#2041C2212yes—
77#2013C2212yes—
78#2011C2212yes—
79#1992C2212yes—
80#1992C2212yes—
81#1983C2214yes—
82#1959C2212yes—
83#1959C2212yes—
84#1949C2214yes—
85#1928C2214yes—
86#1926C2214yes—
87#1895C2214yes—
88#1894C2214yes—
89#1879C2214yes—
90#1877C2214yes—
91#1804C2214yes—
92#1767C2211yescharacteristic
93#1767C2211yescharacteristic
94#1767C2212yes—
95C4×C4⋊C8C2212yes—
96C4×C4⋊C8C2212yes—
97C4×#103C2214yes—
98C4×#102C2214yes—
99#1728C2212yes—
100C22×#41—21no—
101C22×SD16C2314yes—
102C22×D8C2314yes—
103C22×M16C2314yes—
104#532—24no—
105#532D418yescomplemented
106C2×C4⋊Q8C2311yescharacteristic
107C2×C4⋊Q8C2311yescharacteristic
108C2×#127C2311yescharacteristic
109C2×#127C2311yescharacteristic
110#529—28no—
111#529—28no—
112C2×#126—22no—
113C2×#125C2312yes—
114C2×#124—21no—
115C2×#124C2312yes—
116C2×#124C2312yes—
117C2×#123—22no—
118C2×C22⋊Q8C2312yes—
119C2×#121—21no—
120C2×#121—21no—
121C2×#121—21no—
122C2×#121C2312yes—
123C2×#121C2312yes—
124C4×#41—48no—
125C2×C4×Q8—21no—
126C2×C4×Q8—21no—
127C2×C4×Q8C2312yes—
128C2×C4×D4—22no—
129C2×C4×D4—22no—
130C2×C4×D4—22no—
131C2×C4×D4—21no—
132C2×C4×D4—21no—
133C2×C4×D4—21no—
134C2×C4×D4—21no—
135C2×C4×D4—21no—
136C2×C4×D4—21no—
137C2×C4×D4—21no—
138C2×C4×D4C2312yes—
139C2×C4×D4C2312yes—
140C2×C4×D4C2312yes—
141C2×C4×D4C2312yes—
142C2×#117—21no—
143C2×#117—22no—
144C2×#117—22no—
145C22×C42—22no—
146C22×C42D411yescharacteristic
147C22×C42D411yescharacteristic
148C22×C42D411yescharacteristic
149C22×C42D411yescharacteristic
150C22×C42C2311yescharacteristic
151C22×C42C2311yescharacteristic
152C22×C42C2311yescharacteristic
153#501—28no—
154#496—28no—
155#490—28no—
156#489—28no—
157#469—216no—
158#468—216no—
159#463—216no—
160C4×SD16—216no—
161C4×D8—216no—
162C2×#107C2314yes—
163C2×#106C2314yes—
164#423—28no—
165C2×C4⋊C8C2314yes—
166C2×C4⋊C8C2312yes—
167C2×C4⋊C8C2312yes—
168C2×#103C2314yes—
169C2×#103C2314yes—
170C2×#103C2314yes—
171C2×#102C2314yes—
172C2×#102C2314yes—
173C2×#102C2314yes—
174C2×#102C2314yes—
175C2×#102C2314yes—
176C4×M16—28no—
177C2×#97C2312yes—
178C2×#97C2312yes—
179C2×C4×C8C2314yes—
180#391—21no—
181#391—21no—
182#391C2312yes—
183#391C2312yes—
184#390—21no—
185#390—21no—
186#390—21no—
187#390—21no—
188#390—21no—
189#390—21no—
190#390—21no—
191#390—21no—
192#390—21no—
193#390—21no—
194#390—21no—
195#390—21no—
196#390C2312yes—
197#390C2312yes—
198#390C2312yes—
199#390C2312yes—
200#389—21no—
201#389—21no—
202#389—21no—
203#389—21no—
204#389—21no—
205#389—21no—
206#389—21no—
207#389—21no—
208#389—21no—
209#389—21no—
210#389C2312yes—
211#389C2312yes—
212#388—22no—
213#388—22no—
214#388—22no—
215#388—22no—
216#388—22no—
217#388—22no—
218#388—22no—
219#388—22no—
220#388—22no—
221#388—22no—
222#388—22no—
223#388—22no—
224#386—22no—
225#386—22no—
226#386—22no—
227#386—22no—
228#384C2311yescharacteristic
229#384C2311yescharacteristic
230#384C2311yescharacteristic
231#384C2311yescharacteristic
232#382—21no—
233#382C2312yes—
234#380—21no—
235#380—21no—
236#380—21no—
237#380C2312yes—
238C4×C4⋊C4—21no—
239C4×C4⋊C4—21no—
240C4×C4⋊C4—21no—
241C4×C4⋊C4—21no—
242C4×C4⋊C4—21no—
243C4×C4⋊C4C2312yes—
244C4×C4⋊C4C2312yes—
245C4×C4⋊C4C2312yes—
246C4×C22⋊C4—22no—
247C4×C22⋊C4—22no—
248C4×C22⋊C4—22no—
249C4×C22⋊C4—22no—
250C4×C22⋊C4—22no—
251C4×C22⋊C4—22no—
252C4×C22⋊C4—22no—
253C4×C22⋊C4—22no—
254C43D411yescharacteristic
255C43D411yescharacteristic
256C43D411yescharacteristic
257C43D411yescharacteristic
258C43C2311yescharacteristic
259C43C2311yescharacteristic
260C43C2311yescharacteristic
261C43C2311yescharacteristic
262#340C2314yes—
263#340C2314yes—
264#340C2314yes—
265#340C2314yes—
266#336C2312yes—
267#336C2312yes—
268#336C2314yes—
269C2×#41—28no—
270C2×#41—44no—
271C2×#41—44no—
272C22×Q8—21no—
273C22×Q8C2412yes—
274C22×D4—22no—
275C22×D4—22no—
276C22×D4—21no—
277C22×D4—21no—
278C22×D4—21no—
279C22×D4—21no—
280C22×D4C2412yes—
281C22×D4C2412yes—
282C23×C4—22no—
283C23×C4—22no—
284C23×C4—22no—
285C23×C4—22no—
286C23×C4C2×D411yescharacteristic
287C23×C4C2×D411yescharacteristic
288C23×C4C2×D411yescharacteristic
289C23×C4C2×D411yescharacteristic
290C23×C4C2×D411yescharacteristic
291C23×C4C2×D411yescharacteristic
292C23×C4C2411yescharacteristic
293C2×SD16—28no—
294C2×SD16—28no—
295C2×SD16—44no—
296C2×D8—28no—
297C2×D8—28no—
298C2×D8—44no—
299C2×M16—28no—
300C2×M16—28no—
301C2×M16—44no—
302C22×C8C2414yes—
303C22×C8C2414yes—
304C4⋊Q8—22no—
305C4⋊Q8—42no—
306C4⋊Q8C2×D414yes—
307#127—22no—
308#127—42no—
309#127C2×D414yes—
310#126—48no—
311#125—24no—
312#125—24no—
313#124—28no—
314#124—24no—
315#124—24no—
316#124—28no—
317#123—48no—
318C22⋊Q8—24no—
319C22⋊Q8—24no—
320#121—28no—
321#121—24no—
322#121—24no—
323#121—24no—
324#121—44no—
325#121—44no—
326#121C2×D418yes—
327C4×Q8—24no—
328C4×Q8—24no—
329C4×Q8—44no—
330C4×Q8—44no—
331C4×D4—28no—
332C4×D4—24no—
333C4×D4—24no—
334C4×D4—24no—
335C4×D4—28no—
336C4×D4—44no—
337C4×D4—44no—
338C4×D4—44no—
339C4×D4—44no—
340C4×D4—44no—
341C4×D4—44no—
342C4×D4—48no—
343C4×D4—48no—
344C4×D4—48no—
345C4×D4—44no—
346C4×D4C2×D418yes—
347#117—44no—
348#117—48no—
349#117—48no—
350C2×C4⋊C4—21no—
351C2×C4⋊C4—21no—
352C2×C4⋊C4—21no—
353C2×C4⋊C4—22no—
354C2×C4⋊C4—22no—
355C2×C4⋊C4—22no—
356C2×C4⋊C4—22no—
357C2×C4⋊C4—22no—
358C2×C4⋊C4—21no—
359C2×C4⋊C4—21no—
360C2×C4⋊C4—21no—
361C2×C4⋊C4—21no—
362C2×C4⋊C4—22no—
363C2×C4⋊C4—21no—
364C2×C4⋊C4—21no—
365C2×C4⋊C4—21no—
366C2×C4⋊C4—21no—
367C2×C4⋊C4C2412yes—
368C2×C4⋊C4C2412yes—
369C2×C4⋊C4C2412yes—
370C2×C4⋊C4C2412yes—
371C2×C4⋊C4C2412yes—
372C2×C22⋊C4—22no—
373C2×C22⋊C4—22no—
374C2×C22⋊C4—22no—
375C2×C22⋊C4—22no—
376C2×C22⋊C4—22no—
377C2×C22⋊C4—22no—
378C2×C22⋊C4—22no—
379C2×C22⋊C4—22no—
380C2×C22⋊C4—22no—
381C2×C22⋊C4—22no—
382C2×C22⋊C4—22no—
383C2×C22⋊C4—22no—
384C2×C22⋊C4—22no—
385C2×C22⋊C4—22no—
386C2×C22⋊C4—22no—
387C2×C22⋊C4—22no—
388C2×C22⋊C4—22no—
389C2×C22⋊C4—22no—
390C2×C22⋊C4—22no—
391C2×C22⋊C4—22no—
392C2×C42—24no—
393C2×C42—24no—
394C2×C42—22no—
395C2×C42—22no—
396C2×C42—22no—
397C2×C42—22no—
398C2×C42—42no—
399C2×C42—42no—
400C2×C42—42no—
401C2×C42—42no—
402C2×C42—48no—
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×C42C2×D411yescharacteristic
412C2×C42C2×D411yescharacteristic
413C2×C42C2×D411yescharacteristic
414C2×C42C2×D411yescharacteristic
415C2×C42C2×D411yescharacteristic
416C2×C42C2×D411yescharacteristic
417C2×C42C2×D411yescharacteristic
418C2×C42C2×D411yescharacteristic
419C2×C42C2×D411yescharacteristic
420C2×C42C2×D411yescharacteristic
421C2×C42C2×D411yescharacteristic
422C2×C42C2×D411yescharacteristic
423C2×C42C2×D411yescharacteristic
424C2×C42C2×D414yes—
425C2×C42C2×D411yescharacteristic
426C2×C42#4114yes—
427C2×C42C2411yescharacteristic
428C2×C42C2411yescharacteristic
429C2×C42C2411yescharacteristic
430C2×C42C2411yescharacteristic
431C2×C42C2411yescharacteristic
432C2×C42C2411yescharacteristic
433#107—28no—
434#106—28no—
435C4⋊C8—28no—
436C4⋊C8—24no—
437C4⋊C8#4118yescomplemented
438#103—28no—
439#103—28no—
440#103—44no—
441#102—28no—
442#102—28no—
443#102—28no—
444#102—28no—
445#102—44no—
446#97—24no—
447#97—24no—
448C4×C8—28no—
449#95—22no—
450#95—22no—
451#95—22no—
452#95—22no—
453#95—22no—
454#95—22no—
455#95—22no—
456#95—22no—
457#95—22no—
458#95—22no—
459#95—22no—
460#95—22no—
461C24—22no—
462C24—22no—
463C24C22×D411yescharacteristic
464#41—432no—
465C2×Q8—24no—
466C2×Q8—22no—
467C2×Q8—24no—
468C2×Q8—22no—
469C2×Q8—24no—
470C2×Q8—42no—
471C2×Q8—42no—
472C2×D4—28no—
473C2×D4—24no—
474C2×D4—24no—
475C2×D4—22no—
476C2×D4—24no—
477C2×D4—22no—
478C2×D4—24no—
479C2×D4—22no—
480C2×D4—24no—
481C2×D4—24no—
482C2×D4—42no—
483C2×D4—42no—
484C2×D4—42no—
485C2×D4—42no—
486C2×D4—42no—
487C2×D4—42no—
488C2×D4—42no—
489C2×D4—42no—
490C2×D4—44no—
491C2×D4—44no—
492C2×D4—44no—
493C2×D4—44no—
494C2×D4—44no—
495C2×D4—42no—
496C2×D4—42no—
497C2×D4C22×D414yes—
498C22×C4—22no—
499C22×C4—22no—
500C22×C4—22no—
501C22×C4—22no—
502C22×C4—22no—
503C22×C4—28no—
504C22×C4—22no—
505C22×C4—22no—
506C22×C4—22no—
507C22×C4—22no—
508C22×C4—22no—
509C22×C4—22no—
510C22×C4—22no—
511C22×C4—22no—
512C22×C4—22no—
513C22×C4—22no—
514C22×C4—22no—
515C22×C4—41no—
516C22×C4—41no—
517C22×C4—41no—
518C22×C4—41no—
519C22×C4—41no—
520C22×C4—41no—
521C22×C4—41no—
522C22×C4—41no—
523C22×C4—44no—
524C22×C4—44no—
525C22×C4—44no—
526C22×C4—44no—
527C22×C4—44no—
528C22×C4—44no—
529C22×C4—44no—
530C22×C4—44no—
531C22×C4—44no—
532C22×C4—44no—
533C22×C4—44no—
534C22×C4#12114yes—
535C22×C4#12114yes—
536C22×C4C22×D411yescharacteristic
537C22×C4C22×D411yescharacteristic
538C22×C4C22×D411yescharacteristic
539C22×C4C22×D411yescharacteristic
540C22×C4C22×D411yescharacteristic
541C22×C4C22×D411yescharacteristic
542C22×C4C22×D412yes—
543C22×C4C22×D411yescharacteristic
544C22×C4C22×D411yescharacteristic
545C22×C4C22×D411yescharacteristic
546C22×C4C22×D411yescharacteristic
547C22×C4C22×D411yescharacteristic
548C22×C4C22×D411yescharacteristic
549C22×C4C22×D411yescharacteristic
550C22×C4C2×#4112yes—
551C22×C4C2511yescharacteristic
552SD16—416no—
553D8—416no—
554M16—416no—
555C2×C8—24no—
556C2×C8—24no—
557C2×C8—24no—
558C2×C8—24no—
559C2×C8—24no—
560C2×C8C2×#4118yes—
561C4⋊C4—24no—
562C4⋊C4—22no—
563C4⋊C4—22no—
564C4⋊C4—22no—
565C4⋊C4—24no—
566C4⋊C4—22no—
567C4⋊C4—22no—
568C4⋊C4—24no—
569C4⋊C4—42no—
570C4⋊C4—42no—
571C4⋊C4—42no—
572C4⋊C4—42no—
573C4⋊C4—42no—
574C4⋊C4—42no—
575C4⋊C4—42no—
576C4⋊C4—42no—
577C4⋊C4—44no—
578C4⋊C4—44no—
579C4⋊C4—44no—
580C4⋊C4—44no—
581C4⋊C4—44no—
582C4⋊C4—44no—
583C4⋊C4—42no—
584C4⋊C4—42no—
585C4⋊C4C22×D414yes—
586C22⋊C4—28no—
587C22⋊C4—28no—
588C22⋊C4—44no—
589C22⋊C4—44no—
590C22⋊C4—44no—
591C22⋊C4—44no—
592C22⋊C4—44no—
593C22⋊C4—44no—
594C22⋊C4—44no—
595C22⋊C4—44no—
596C22⋊C4—44no—
597C22⋊C4—44no—
598C22⋊C4—44no—
599C22⋊C4—44no—
600C22⋊C4—44no—
601C22⋊C4—44no—
602C22⋊C4—44no—
603C22⋊C4—44no—
604C22⋊C4—44no—
605C22⋊C4—44no—
606C42—22no—
607C42—22no—
608C42—22no—
609C42—22no—
610C42—22no—
611C42—22no—
612C42—22no—
613C42—22no—
614C42—22no—
615C42—22no—
616C42—22no—
617C42—22no—
618C42—22no—
619C42—22no—
620C42—41no—
621C42—41no—
622C42—41no—
623C42—41no—
624C42—41no—
625C42—41no—
626C42—41no—
627C42—41no—
628C42—44no—
629C42—44no—
630C42—44no—
631C42—44no—
632C42#12114yes—
633C42#12114yes—
634C42AGL(1,ℤ/8)14yes—
635C42C22×D412yes—
636C42C22×D412yes—
637C42C2×#4112yes—
638C42C2×#4112yes—
639C42C2×#4114yes—
640C23—21no—
641C23—21no—
642C23—21no—
643C23—21no—
644C23—21no—
645C23—21no—
646C23—24no—
647C23—42no—
648C23—42no—
649C23—42no—
650C23—42no—
651C23—42no—
652C23—42no—
653C23—42no—
654C23—42no—
655C23—42no—
656C23—42no—
657C23—42no—
658C23—42no—
659C23—42no—
660C23C2×#12112yes—
661C23C23×D411yescharacteristic
662Q8—48no—
663Q8—44no—
664Q8—44no—
665D4—28no—
666D4—48no—
667D4—48no—
668D4—416no—
669D4—44no—
670D4—44no—
671D4—44no—
672D4—84no—
673D4—84no—
674D4—88no—
675C2×C4—21no—
676C2×C4—21no—
677C2×C4—21no—
678C2×C4—21no—
679C2×C4—21no—
680C2×C4—21no—
681C2×C4—21no—
682C2×C4—21no—
683C2×C4—21no—
684C2×C4—21no—
685C2×C4—21no—
686C2×C4—21no—
687C2×C4—21no—
688C2×C4—21no—
689C2×C4—21no—
690C2×C4—21no—
691C2×C4—21no—
692C2×C4—21no—
693C2×C4—21no—
694C2×C4—21no—
695C2×C4—24no—
696C2×C4—24no—
697C2×C4—28no—
698C2×C4—24no—
699C2×C4—21no—
700C2×C4—21no—
701C2×C4—21no—
702C2×C4—21no—
703C2×C4—21no—
704C2×C4—21no—
705C2×C4—44no—
706C2×C4—44no—
707C2×C4—44no—
708C2×C4—44no—
709C2×C4—44no—
710C2×C4—42no—
711C2×C4—42no—
712C2×C4—416no—
713C2×C4—42no—
714C2×C4—42no—
715C2×C4—42no—
716C2×C4—42no—
717C2×C4—42no—
718C2×C4—42no—
719C2×C4—42no—
720C2×C4—42no—
721C2×C4—42no—
722C2×C4—42no—
723C2×C4—42no—
724C2×C4—42no—
725C2×C4—42no—
726C2×C4—42no—
727C2×C4—42no—
728C2×C4—88no—
729C2×C4—88no—
730C2×C4—88no—
731C2×C4C2×#12112yes—
732C2×C4C2×#12112yes—
733C2×C4C2×#12112yes—
734C2×C4C2×#12112yes—
735C2×C4C2×#12112yes—
736C2×C4#53212yes—
737C2×C4#53212yes—
738C2×C4C2×AGL(1,ℤ/8)12yes—
739C2×C4C2×AGL(1,ℤ/8)12yes—
740C2×C4C2×AGL(1,ℤ/8)12yes—
741C2×C4#57512yes—
742C2×C4#57512yes—
743C2×C4#57512yes—
744C2×C4C23×D411yescharacteristic
745C2×C4C22×#4112yes—
746C2×C4C22×#4111yescharacteristic
747C2×C4#58512yes—
748C8—28no—
749C8—44no—
750C22—22no—
751C22—22no—
752C22—22no—
753C22—41no—
754C22—41no—
755C22—41no—
756C22—41no—
757C22—44no—
758C22—44no—
759C22—44no—
760C22—82no—
761C22—82no—
762C22—82no—
763C22—82no—
764C22—82no—
765C22—82no—
766C22—82no—
767C22—82no—
768C22—82no—
769C22—82no—
770C22—82no—
771C22C22×#12111yescharacteristic
772C22C2×#53211yescharacteristic
773C22#344911yescharacteristic
774C22C22×AGL(1,ℤ/8)11yescharacteristic
775C22C2×#57511yescharacteristic
776C22C2×#57511yescharacteristic
777C22C2×#57511yescharacteristic
778C4—22no—
779C4—22no—
780C4—22no—
781C4—22no—
782C4—22no—
783C4—22no—
784C4—22no—
785C4—22no—
786C4—22no—
787C4—22no—
788C4—41no—
789C4—41no—
790C4—44no—
791C4—82no—
792C4—82no—
793C4—82no—
794C4—82no—
795C4—82no—
796C4#303614yes—
797C4D4×#4112yes—
798C4#348012yes—
799C2—42no—
800C2—84no—
801C2—162no—
802C2#3493711yescharacteristic
803C2C2×#303611yescharacteristic
804C2#6041511yescharacteristic
805C2#6067611yescharacteristic
806C2#6070011yescharacteristic
807C2#6094911yescharacteristic
808C2#6095411yescharacteristic
subgroupG/H
centerC22×C4C22×D4
commutator, Frattini, cosocleC22×C4C25
socleC23C23×D4
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
1. C2×#3171C2semidirect
2. #36631C2semidirect
3. C4×#532C2semidirect
4. #28753C2semidirect
5. #28722C2semidirect
6. #28692C2semidirect
7. #28658C2semidirect
8. #28618C2semidirect
9. #28578C2semidirect
10. #28577C2semidirect
11. #28445C2semidirect
12. #24756C2semidirect
13. #23677C2semidirect
14. #23676C2semidirect
15. C4×#463C2semidirect
16. #21403C2semidirect
17. C4×#423C2semidirect
105. #532D4semidirect
437. C4⋊C8#41semidirect

Maximal subgroups

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

subgroupindex
C2×#31712
#366312
C4×#5322
#287532
#287222
#286922
#286582
#286182
#285782
#285772
#284452
#247562
#236772
#236762
C4×#4632
#214032
C4×#4232