Finite Group Databasebeta

← #6810017

Subgroups — #6810017

Order 512.

2281 conjugacy classes of subgroups.

The subgroup lattice has 809 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3196C212yesmaximal, complemented
2#36100C211yesmaximal, characteristic
3C2×#2538C211yesmaximal, characteristic, complemented
4#32906C211yesmaximal, characteristic, complemented
5#30586C214yesmaximal, complemented
6#30426C214yesmaximal, complemented
7#29597C212yesmaximal, complemented
8#28230C212yesmaximal, complemented
9#27910C211yesmaximal, characteristic, complemented
10#27645C211yesmaximal, characteristic, complemented
11#25394C212yesmaximal, complemented
12#25017C212yesmaximal, complemented
13#24556C212yesmaximal, complemented
14#24241C212yesmaximal, complemented
15#24007C212yesmaximal, complemented
16#22401C211yesmaximal, characteristic, complemented
17C4×#448C211yesmaximal, characteristic, complemented
18C2×#547C2211yescharacteristic
19C2×#525C2212yes—
20C22×C22⋊Q8C2212yes—
21C22×C4×Q8C2211yescharacteristic
22C22×C4×D4C2211yescharacteristic
23#3196—216no—
24C2×#484C2212yes—
25C2×#484C2212yes—
26C2×#481C2212yes—
27C2×#485C2214yescomplemented
28C2×#470C2214yescomplemented
29C2×#468C2214yescomplemented
30C2×#462C2212yescomplemented
31C2×#452C2214yescomplemented
32C2×#451C2212yes—
33C2×#448C2211yescharacteristic
34C2×C4×SD16C2212yescomplemented
35C2×#436C2212yes—
36C2×#407C2212yes—
37#2857C2211yescharacteristic
38#2848C2212yes—
39#2542C2211yescharacteristic
40#2538—21no—
41#2538—21no—
42#2538—22no—
43#2538C2212yes—
44#2538C2214yes—
45#2538C2212yes—
46#2537C2211yescharacteristic
47#2455—22no—
48#2422—21no—
49#2418—22no—
50#2415C2212yes—
51#2408—21no—
52#2407C2212yes—
53C2×#396—22no—
54#2361—21no—
55#2354C2211yescharacteristic
56D4×C4⋊C4—21no—
57C4×#121C2211yescharacteristic
58C2×#390—21no—
59C2×#389—21no—
60C2×#384C2211yescharacteristic
61C2×#380C2212yes—
62#2095C2214yescomplemented
63#2084C2212yescomplemented
64#2075C2214yescomplemented
65#2071C2212yescomplemented
66#2036C2214yescomplemented
67#2036C2214yescomplemented
68#2035C2214yescomplemented
69#2035C2214yescomplemented
70#2033C2214yescomplemented
71#2001C2214yescomplemented
72#2001C2214yescomplemented
73#1956C2212yescomplemented
74#1954C2212yes—
75#1948C2212yescomplemented
76#1894C2214yescomplemented
77#1880C2212yescomplemented
78#1878C2214yescomplemented
79#1874C2211yescharacteristic
80#1872C2212yes—
81#1870C2214yes—
82#1865C2212yescomplemented
83#1854C2214yescomplemented
84#1853C2211yescharacteristic
85#1845C2212yescomplemented
86#1824C2212yes—
87#1809C2214yescomplemented
88#1803C2212yescomplemented
89#1802C2212yescomplemented
90#1797C2211yescharacteristic
91#1788C2214yescomplemented
92#1787C2211yescharacteristic
93#1779C2212yes—
94C4×#103C2212yescomplemented
95C4×C22⋊C8C2211yescharacteristic
96C22×#41C2312yes—
97C23×Q8C2311yescharacteristic
98C23×D4D411yescharacteristic
99C24×C4C2312yes—
100C22×Q16C2314yes—
101C22×SD16C2312yes—
102C22×M16C2314yes—
103#547—44no—
104C2×C4⋊Q8C2311yescharacteristic
105#525—28no—
106#525—44no—
107C2×#123—22no—
108C2×#123—22no—
109C2×C22⋊Q8—22no—
110C2×C22⋊Q8—22no—
111C2×C22⋊Q8—28no—
112C2×C22⋊Q8—44no—
113C2×C22⋊Q8C2312yes—
114C2×C22⋊Q8C2314yes—
115C2×C22⋊Q8C2314yes—
116C2×C22⋊Q8C2312yes—
117C2×C22⋊Q8C2312yes—
118C2×C22⋊Q8C2312yes—
119C2×#121—21no—
120C2×#121—21no—
121C2×#121C2312yes—
122C2×#121C2311yescharacteristic
123C2×#120—22no—
124C2×C4×Q8—21no—
125C2×C4×Q8—21no—
126C2×C4×Q8—44no—
127C2×C4×Q8C2312yes—
128C2×C4×Q8C2312yes—
129C2×C4×D4—21no—
130C2×C4×D4—22no—
131C2×C4×D4—22no—
132C2×C4×D4—44no—
133C2×C4×D4D411yescharacteristic
134C2×C4×D4D411yescharacteristic
135C2×C4×D4D412yes—
136C2×C4×D4C2311yescharacteristic
137C2×C4×D4C2311yescharacteristic
138C2×C4×D4C2311yescharacteristic
139C2×C4×D4C2312yes—
140C2×#117C2312yes—
141C22×C4⋊C4—21no—
142C22×C4⋊C4—22no—
143C22×C4⋊C4—21no—
144C22×C4⋊C4—21no—
145C22×C4⋊C4—21no—
146C22×C4⋊C4D411yescharacteristic
147C22×C4⋊C4C2312yes—
148C22×C4⋊C4C2311yescharacteristic
149C22×C22⋊C4—22no—
150C22×C22⋊C4—22no—
151C22×C22⋊C4D412yes—
152C22×C42—21no—
153C22×C42C2311yescharacteristic
154#485—216no—
155#484—28no—
156#484—44no—
157#481—28no—
158#470—216no—
159#468—216no—
160#462—44no—
161#452—216no—
162#451—28no—
163#448D418yescomplemented
164C4×SD16—44no—
165#436—44no—
166C2×#107C2314yes—
167C2×#107C2314yes—
168C2×#106C2314yes—
169C2×#106C2312yes—
170C2×C4⋊C8C2312yes—
171C2×#103C2314yes—
172C2×#103C2314yes—
173C2×#103C2314yes—
174C2×#103C2312yes—
175C2×#103C2314yes—
176C2×#103C2312yes—
177C2×#103C2312yes—
178C2×#102C2314yes—
179C2×#102C2312yes—
180#407—28no—
181C2×C22⋊C8C2312yes—
182C2×C22⋊C8C2314yes—
183C2×C22⋊C8C2311yescharacteristic
184C2×C22⋊C8C2314yes—
185C2×C22⋊C8C2314yes—
186C2×C22⋊C8C2311yescharacteristic
187C2×C4×C8C2312yes—
188#399—22no—
189#397—22no—
190#396—24no—
191#396—24no—
192#396—24no—
193#396—24no—
194#394—22no—
195#394—22no—
196#394—22no—
197#392—22no—
198#391C2312yes—
199#390—21no—
200#390—21no—
201#390—22no—
202#390—22no—
203#390—24no—
204#390C2311yescharacteristic
205#389—22no—
206#389—22no—
207#389—22no—
208#389—24no—
209#389—21no—
210#389—21no—
211#389C2311yescharacteristic
212#388—22no—
213#388—22no—
214#388—21no—
215#386—21no—
216#386—22no—
217#385—22no—
218#385—22no—
219#385—22no—
220#385—22no—
221#384—21no—
222#384—21no—
223#384—21no—
224#384C2312yes—
225#384C2311yescharacteristic
226#384C2312yes—
227#380—21no—
228#380—21no—
229#380—22no—
230#380—22no—
231#380—21no—
232#380C2312yes—
233#380C2314yes—
234#380C2312yes—
235#380C2314yes—
236#380C2311yescharacteristic
237#379—22no—
238C4×C4⋊C4—21no—
239C4×C4⋊C4C2311yescharacteristic
240C4×C22⋊C4—21no—
241C2×#95—22no—
242#340C2314yes—
243#340C2314yes—
244#340C2314yes—
245#340C2312yes—
246#340C2312yes—
247#336C2312yes—
248#336C2312yes—
249C25C2×D412yes—
250C2×#41—24no—
251C2×#41—42no—
252C2×#41—44no—
253C2×#41—44no—
254C22×Q8—21no—
255C22×Q8—22no—
256C22×Q8—42no—
257C22×Q8—42no—
258C22×Q8C2×D414yes—
259C22×Q8C2412yes—
260C22×Q8C2412yes—
261C22×D4—21no—
262C22×D4—22no—
263C22×D4—22no—
264C22×D4—24no—
265C22×D4—42no—
266C22×D4—42no—
267C22×D4C2×D411yescharacteristic
268C22×D4C2×D411yescharacteristic
269C22×D4C2×D412yes—
270C22×D4C2411yescharacteristic
271C23×C4—21no—
272C23×C4—24no—
273C23×C4—24no—
274C23×C4—22no—
275C23×C4—21no—
276C23×C4—21no—
277C23×C4—22no—
278C23×C4—44no—
279C23×C4—44no—
280C23×C4C2×D411yescharacteristic
281C23×C4C2×D411yescharacteristic
282C23×C4C2×D412yes—
283C23×C4C2×D412yes—
284C23×C4C2×D412yes—
285C23×C4C2412yes—
286C23×C4C2412yes—
287C23×C4C2411yescharacteristic
288C2×Q16—28no—
289C2×Q16—44no—
290C2×Q16—44no—
291C2×SD16—42no—
292C2×SD16—42no—
293C2×SD16C2×D418yescomplemented
294C2×M16—28no—
295C2×M16—44no—
296C2×M16—44no—
297C22×C8C2414yes—
298C22×C8C2412yes—
299C22×C8C2412yes—
300C4⋊Q8—24no—
301#123—48no—
302#123—48no—
303C22⋊Q8—28no—
304C22⋊Q8—28no—
305C22⋊Q8—24no—
306C22⋊Q8—24no—
307C22⋊Q8—24no—
308C22⋊Q8—44no—
309C22⋊Q8—44no—
310C22⋊Q8—42no—
311C22⋊Q8—44no—
312C22⋊Q8—48no—
313C22⋊Q8—48no—
314C22⋊Q8—44no—
315#121—22no—
316#121—24no—
317#121—42no—
318#121—44no—
319#121—44no—
320#121C2×D414yes—
321#120—48no—
322C4×Q8—24no—
323C4×Q8—24no—
324C4×Q8—42no—
325C4×Q8—42no—
326C4×Q8—44no—
327C4×Q8—44no—
328C4×D4—24no—
329C4×D4—24no—
330C4×D4—24no—
331C4×D4—44no—
332C4×D4—42no—
333C4×D4—42no—
334C4×D4—44no—
335C4×D4—48no—
336C4×D4—48no—
337C4×D4—44no—
338#117—24no—
339#117—42no—
340C2×C4⋊C4—24no—
341C2×C4⋊C4—24no—
342C2×C4⋊C4—22no—
343C2×C4⋊C4—22no—
344C2×C4⋊C4—21no—
345C2×C4⋊C4—24no—
346C2×C4⋊C4—24no—
347C2×C4⋊C4—22no—
348C2×C4⋊C4—22no—
349C2×C4⋊C4—22no—
350C2×C4⋊C4—21no—
351C2×C4⋊C4—22no—
352C2×C4⋊C4—22no—
353C2×C4⋊C4—22no—
354C2×C4⋊C4—21no—
355C2×C4⋊C4—21no—
356C2×C4⋊C4—21no—
357C2×C4⋊C4—22no—
358C2×C4⋊C4—22no—
359C2×C4⋊C4—22no—
360C2×C4⋊C4—21no—
361C2×C4⋊C4—42no—
362C2×C4⋊C4—42no—
363C2×C4⋊C4—44no—
364C2×C4⋊C4—48no—
365C2×C4⋊C4—44no—
366C2×C4⋊C4—44no—
367C2×C4⋊C4—82no—
368C2×C4⋊C4C2×D411yescharacteristic
369C2×C4⋊C4C2×D411yescharacteristic
370C2×C4⋊C4C2×D412yes—
371C2×C4⋊C4C2412yes—
372C2×C4⋊C4C2414yes—
373C2×C4⋊C4C2412yes—
374C2×C4⋊C4C2411yescharacteristic
375C2×C4⋊C4C2411yescharacteristic
376C2×C4⋊C4C2411yescharacteristic
377C2×C22⋊C4—21no—
378C2×C22⋊C4—24no—
379C2×C22⋊C4—24no—
380C2×C22⋊C4—22no—
381C2×C22⋊C4—22no—
382C2×C22⋊C4—22no—
383C2×C22⋊C4—21no—
384C2×C22⋊C4—22no—
385C2×C22⋊C4—22no—
386C2×C22⋊C4—22no—
387C2×C22⋊C4—21no—
388C2×C22⋊C4—21no—
389C2×C22⋊C4—24no—
390C2×C22⋊C4—24no—
391C2×C22⋊C4—22no—
392C2×C22⋊C4—22no—
393C2×C22⋊C4—21no—
394C2×C22⋊C4—44no—
395C2×C22⋊C4—48no—
396C2×C22⋊C4—84no—
397C2×C22⋊C4C2×D412yes—
398C2×C22⋊C4C2×D412yes—
399C2×C22⋊C4C2×D412yes—
400C2×C22⋊C4C2×D412yes—
401C2×C42—24no—
402C2×C42—22no—
403C2×C42—21no—
404C2×C42—22no—
405C2×C42—22no—
406C2×C42—44no—
407C2×C42C2×D411yescharacteristic
408C2×C42C2×D411yescharacteristic
409C2×C42C2411yescharacteristic
410C2×C42C2411yescharacteristic
411#107—28no—
412#107—44no—
413#106—28no—
414#106—42no—
415C4⋊C8—24no—
416#103—28no—
417#103—28no—
418#103—42no—
419#103—42no—
420#103—44no—
421#103—44no—
422#103C2×D418yescomplemented
423#102—28no—
424#102—42no—
425C22⋊C8—24no—
426C22⋊C8—22no—
427C22⋊C8—28no—
428C22⋊C8—44no—
429C22⋊C8—44no—
430C22⋊C8C2×D414yes—
431C4×C8—24no—
432#95—24no—
433#95—24no—
434#95—21no—
435#95—21no—
436#95—22no—
437#95—21no—
438#95—22no—
439#95—22no—
440#95—22no—
441C24—24no—
442C24—21no—
443C24—24no—
444C24—24no—
445C24—42no—
446C24—42no—
447C24—42no—
448C24—42no—
449C24C22×D412yes—
450C24C22×D412yes—
451C24C22×D411yescharacteristic
452#41—88no—
453#41—88no—
454C2×Q8—24no—
455C2×Q8—22no—
456C2×Q8—22no—
457C2×Q8—22no—
458C2×Q8—22no—
459C2×Q8—22no—
460C2×Q8—24no—
461C2×Q8—22no—
462C2×Q8—22no—
463C2×Q8—24no—
464C2×Q8—48no—
465C2×Q8—42no—
466C2×Q8—42no—
467C2×Q8—48no—
468C2×Q8C22×D414yes—
469C2×D4—24no—
470C2×D4—22no—
471C2×D4—22no—
472C2×D4—24no—
473C2×D4—22no—
474C2×D4—22no—
475C2×D4—22no—
476C2×D4—22no—
477C2×D4—22no—
478C2×D4—21no—
479C2×D4—22no—
480C2×D4—42no—
481C2×D4—42no—
482C2×D4—416no—
483C2×D4—42no—
484C2×D4—42no—
485C2×D4—44no—
486C2×D4—44no—
487C2×D4—44no—
488C2×D4—44no—
489C2×D4—82no—
490C2×D4—82no—
491C2×D4C22×D412yes—
492C22×C4—22no—
493C22×C4—22no—
494C22×C4—22no—
495C22×C4—22no—
496C22×C4—24no—
497C22×C4—22no—
498C22×C4—21no—
499C22×C4—22no—
500C22×C4—24no—
501C22×C4—22no—
502C22×C4—22no—
503C22×C4—22no—
504C22×C4—24no—
505C22×C4—22no—
506C22×C4—24no—
507C22×C4—22no—
508C22×C4—24no—
509C22×C4—24no—
510C22×C4—24no—
511C22×C4—24no—
512C22×C4—22no—
513C22×C4—21no—
514C22×C4—22no—
515C22×C4—21no—
516C22×C4—24no—
517C22×C4—22no—
518C22×C4—41no—
519C22×C4—42no—
520C22×C4—42no—
521C22×C4—42no—
522C22×C4—42no—
523C22×C4—42no—
524C22×C4—42no—
525C22×C4—44no—
526C22×C4—44no—
527C22×C4—42no—
528C22×C4—42no—
529C22×C4—42no—
530C22×C4—42no—
531C22×C4—44no—
532C22×C4—44no—
533C22×C4—44no—
534C22×C4—42no—
535C22×C4—42no—
536C22×C4—42no—
537C22×C4—42no—
538C22×C4—88no—
539C22×C4—88no—
540C22×C4—82no—
541C22×C4#13714yes—
542C22×C4C22×D412yes—
543C22×C4C22×D411yescharacteristic
544C22×C4C22×D412yes—
545C22×C4C22×D411yescharacteristic
546C22×C4C22×D411yescharacteristic
547C22×C4C22×D412yes—
548C22×C4C22×D411yescharacteristic
549C22×C4C22×D411yescharacteristic
550C22×C4H(5,𝔽2)12yes—
551C22×C4C2511yescharacteristic
552Q16—88no—
553SD16—48no—
554M16—88no—
555C2×C8—22no—
556C2×C8—22no—
557C2×C8—24no—
558C2×C8—22no—
559C2×C8—22no—
560C2×C8—24no—
561C2×C8—22no—
562C2×C8—24no—
563C2×C8C22×D414yes—
564C4⋊C4—22no—
565C4⋊C4—22no—
566C4⋊C4—21no—
567C4⋊C4—24no—
568C4⋊C4—22no—
569C4⋊C4—22no—
570C4⋊C4—22no—
571C4⋊C4—22no—
572C4⋊C4—24no—
573C4⋊C4—22no—
574C4⋊C4—22no—
575C4⋊C4—42no—
576C4⋊C4—48no—
577C4⋊C4—48no—
578C4⋊C4—44no—
579C4⋊C4—44no—
580C4⋊C4—42no—
581C4⋊C4—44no—
582C4⋊C4—44no—
583C4⋊C4—44no—
584C4⋊C4—42no—
585C4⋊C4—42no—
586C4⋊C4—44no—
587C4⋊C4—44no—
588C4⋊C4—42no—
589C4⋊C4—44no—
590C4⋊C4—42no—
591C4⋊C4—81no—
592C4⋊C4—82no—
593C4⋊C4—82no—
594C4⋊C4—82no—
595C4⋊C4C22×D412yes—
596C22⋊C4—24no—
597C22⋊C4—24no—
598C22⋊C4—24no—
599C22⋊C4—42no—
600C22⋊C4—42no—
601C22⋊C4—48no—
602C22⋊C4—48no—
603C22⋊C4—44no—
604C22⋊C4—44no—
605C22⋊C4—44no—
606C22⋊C4—44no—
607C22⋊C4—44no—
608C22⋊C4—44no—
609C22⋊C4—42no—
610C22⋊C4—42no—
611C22⋊C4—42no—
612C22⋊C4—81no—
613C22⋊C4—82no—
614C22⋊C4—84no—
615C22⋊C4—84no—
616C22⋊C4—82no—
617C42—22no—
618C42—22no—
619C42—22no—
620C42—44no—
621C42—44no—
622C42—44no—
623C42—42no—
624C42H(5,𝔽2)14yes—
625C23—21no—
626C23—21no—
627C23—21no—
628C23—21no—
629C23—22no—
630C23—22no—
631C23—22no—
632C23—22no—
633C23—22no—
634C23—22no—
635C23—22no—
636C23—22no—
637C23—22no—
638C23—22no—
639C23—22no—
640C23—22no—
641C23—22no—
642C23—22no—
643C23—22no—
644C23—48no—
645C23—48no—
646C23—41no—
647C23—41no—
648C23—41no—
649C23—48no—
650C23—41no—
651C23—41no—
652C23—41no—
653C23—84no—
654C23—84no—
655C23—84no—
656C23—84no—
657C23D4212yes—
658C23C2×#13712yes—
659C23#57812yes—
660C23C23×D411yescharacteristic
661Q8—24no—
662Q8—24no—
663Q8—48no—
664Q8—42no—
665Q8—42no—
666Q8—44no—
667Q8—44no—
668D4—24no—
669D4—48no—
670D4—48no—
671D4—44no—
672D4—44no—
673D4—42no—
674D4—88no—
675D4—88no—
676C2×C4—21no—
677C2×C4—21no—
678C2×C4—21no—
679C2×C4—21no—
680C2×C4—21no—
681C2×C4—21no—
682C2×C4—28no—
683C2×C4—24no—
684C2×C4—24no—
685C2×C4—21no—
686C2×C4—21no—
687C2×C4—22no—
688C2×C4—22no—
689C2×C4—22no—
690C2×C4—22no—
691C2×C4—24no—
692C2×C4—22no—
693C2×C4—22no—
694C2×C4—22no—
695C2×C4—21no—
696C2×C4—44no—
697C2×C4—48no—
698C2×C4—42no—
699C2×C4—42no—
700C2×C4—41no—
701C2×C4—41no—
702C2×C4—44no—
703C2×C4—44no—
704C2×C4—44no—
705C2×C4—44no—
706C2×C4—42no—
707C2×C4—41no—
708C2×C4—44no—
709C2×C4—42no—
710C2×C4—42no—
711C2×C4—41no—
712C2×C4—42no—
713C2×C4—42no—
714C2×C4—44no—
715C2×C4—42no—
716C2×C4—41no—
717C2×C4—42no—
718C2×C4—41no—
719C2×C4—41no—
720C2×C4—41no—
721C2×C4—42no—
722C2×C4—44no—
723C2×C4—42no—
724C2×C4—84no—
725C2×C4—84no—
726C2×C4—84no—
727C2×C4—88no—
728C2×C4—84no—
729C2×C4—88no—
730C2×C4—84no—
731C2×C4#53412yes—
732C2×C4#53412yes—
733C2×C4D4212yes—
734C2×C4C2×#13712yes—
735C2×C4C2×#13712yes—
736C2×C4#57512yes—
737C2×C4C23×D411yescharacteristic
738C2×C4C2×H(5,𝔽2)12yes—
739C2×C4C2×H(5,𝔽2)11yescharacteristic
740C2×C4#58512yes—
741C8—24no—
742C8—44no—
743C8—42no—
744C22—22no—
745C22—22no—
746C22—22no—
747C22—22no—
748C22—22no—
749C22—22no—
750C22—42no—
751C22—42no—
752C22—42no—
753C22—42no—
754C22—42no—
755C22—42no—
756C22—42no—
757C22—42no—
758C22—42no—
759C22—42no—
760C22—42no—
761C22—42no—
762C22—42no—
763C22—42no—
764C22—42no—
765C22—42no—
766C22—42no—
767C22—816no—
768C22—81no—
769C22—81no—
770C22—81no—
771C22—81no—
772C22#327614yes—
773C22C2×#53411yescharacteristic
774C22C2×D4211yescharacteristic
775C22#348511yescharacteristic
776C22C22×#13711yescharacteristic
777C22C2×#57511yescharacteristic
778C22C2×#57811yescharacteristic
779C22#358511yescharacteristic
780C4—22no—
781C4—22no—
782C4—22no—
783C4—41no—
784C4—42no—
785C4—42no—
786C4—42no—
787C4—44no—
788C4—81no—
789C4—81no—
790C4—82no—
791C4—84no—
792C4—82no—
793C4—82no—
794C4#319614yescomplemented
795C4#349612yes—
796C4#354212yes—
797C2—24no—
798C2—82no—
799C2—82no—
800C2—82no—
801C2#3933811yescharacteristic
802C2C2×#319611yescharacteristic
803C2#6076411yescharacteristic
804C2C2×#327611yescharacteristic
805C2#6107011yescharacteristic
806C2#6171911yescharacteristic
807C2#6173011yescharacteristic
subgroupG/H
center, socleC23C23×D4
commutator, Frattini, cosocleC22×C4C25
prime radical#36100C2
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C23 ◁ C22×C4×D4 ◁ G
LECSG ▷ C22×C4 ▷ C2 ▷ C1

Complements

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

NH ≅ G/Ntype
1. C2×#3196C2semidirect
3. C2×#2538C2semidirect
4. #32906C2semidirect
5. #30586C2semidirect
6. #30426C2semidirect
7. #29597C2semidirect
8. #28230C2semidirect
9. #27910C2semidirect
10. #27645C2semidirect
11. #25394C2semidirect
12. #25017C2semidirect
13. #24556C2semidirect
14. #24241C2semidirect
15. #24007C2semidirect
16. #22401C2semidirect
17. C4×#448C2semidirect
27. C2×#485C22semidirect
28. C2×#470C22semidirect
29. C2×#468C22semidirect
30. C2×#462C22semidirect
31. C2×#452C22semidirect
34. C2×C4×SD16C22semidirect
62. #2095C22semidirect
63. #2084C22semidirect
64. #2075C22semidirect
65. #2071C22semidirect
66. #2036C22semidirect
67. #2036C22semidirect
68. #2035C22semidirect
69. #2035C22semidirect
70. #2033C22semidirect
71. #2001C22semidirect
72. #2001C22semidirect
73. #1956C22semidirect
75. #1948C22semidirect
76. #1894C22semidirect
77. #1880C22semidirect
78. #1878C22semidirect
82. #1865C22semidirect
83. #1854C22semidirect
85. #1845C22semidirect
87. #1809C22semidirect
88. #1803C22semidirect
89. #1802C22semidirect
91. #1788C22semidirect
94. C4×#103C22semidirect
163. #448D4semidirect
293. C2×SD16C2×D4semidirect
422. #103C2×D4semidirect
794. C4#3196semidirect

Maximal subgroups

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

subgroupindex
C2×#31962
#361002
C2×#25382
#329062
#305862
#304262
#295972
#282302
#279102
#276452
#253942
#250172
#245562
#242412
#240072
#224012
C4×#4482