Finite Group Databasebeta

← #6614725

Subgroups — #6614725

Order 512.

1756 conjugacy classes of subgroups.

The subgroup lattice has 775 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#36181C211yesmaximal, characteristic
2#36129C211yesmaximal, characteristic
3#33278C211yesmaximal, characteristic, complemented
4#33207C211yesmaximal, characteristic, complemented
5#33043C211yesmaximal, characteristic, complemented
6#29191C211yesmaximal, characteristic, complemented
7#29045C214yesmaximal, complemented
8#29013C214yesmaximal, complemented
9#28653C211yesmaximal, characteristic, complemented
10#28098C214yesmaximal
11#27960C211yesmaximal, characteristic, complemented
12#27889C211yesmaximal, characteristic, complemented
13#25856C211yesmaximal, characteristic, complemented
14#25672C211yesmaximal, characteristic, complemented
15#22571C214yesmaximal, complemented
16C4×#487C211yesmaximal, characteristic, complemented
17#21400C211yesmaximal, characteristic, complemented
18C2×#1956C211yesmaximal, characteristic, complemented
19C4×C8×D4C211yesmaximal, characteristic
20C2×#552—21no—
21C2×#533C2211yescharacteristic
22C22×C4⋊Q8C2211yescharacteristic
23C2×#498C2211yescharacteristic
24C2×#487C2211yescharacteristic
25C2×#487C2211yescharacteristic
26C2×C8×D4C2212yes—
27C22×#103C2214yes—
28C22×C4×C8C2211yescharacteristic
29C22×C4×C8C2211yescharacteristic
30#2862C2211yescharacteristic
31#2859C2211yescharacteristic
32#2857C2211yescharacteristic
33#2857C2211yescharacteristic
34#2857C2211yescharacteristic
35#2857C2211yescharacteristic
36#2565—21no—
37#2550—21no—
38#2506—21no—
39#2506C2212yes—
40#2503—21no—
41#2499—21no—
42#2496—21no—
43#2496C2212yes—
44#2492—21no—
45#2486—21no—
46#2486C2212yes—
47#2451—21no—
48#2446C2212yes—
49#2442—21no—
50#2439—21no—
51#2429C2212yes—
52#2417—21no—
53#2409C2212yes—
54#2360—21no—
55#2352—21no—
56#2344—21no—
57#2344C2212yes—
58Q8×C22⋊C4C2212yes—
59C4×C4⋊Q8C2211yescharacteristic
60C4×C4⋊Q8C2211yescharacteristic
61#2285C2211yescharacteristic
62C2×#384C2211yescharacteristic
63C42×D4C2211yescharacteristic
64#2099C2214yes—
65#2066C2214yes—
66#2066C2214yes—
67#2043C2214yes—
68#2035C2214yes—
69#2035C2214yes—
70#1990C2211yescharacteristic
71#1990C2211yescharacteristic
72#1990C2211yescharacteristic
73#1990C2211yescharacteristic
74#1956C2211yescharacteristic
75#1956C2211yescharacteristic
76#1956C2211yescharacteristic
77#1956C2211yescharacteristic
78#1956C2214yes—
79#1956C2211yescharacteristic
80#1956C2211yescharacteristic
81#1941C2214yes—
82#1933C2214yes—
83#1933C2214yes—
84#1933C2214yes—
85#1933C2214yes—
86#1927C2214yes—
87#1927C2214yes—
88#1892C2214yes—
89#1892C2214yes—
90#1865C2214yes—
91#1865C2214yes—
92#1844C2211yescharacteristic
93#1834C2211yescharacteristic
94#1834C2211yescharacteristic
95#1823C2214yes—
96#1807C2214yes—
97#1787C2214yes—
98C8×C4⋊C4C2212yes—
99C4×C4⋊C8C2211yescharacteristic
100C4×#103C2214yes—
101C4×#103C2214yes—
102C8×C22⋊C4C2212yes—
103C8×C22⋊C4C2212yes—
104C4×C22⋊C8C2211yescharacteristic
105C4×C22⋊C8C2211yescharacteristic
106C42×C8C2211yescharacteristic
107C23×Q8C2312yes—
108C23×C8C2312yes—
109C23×C8C2312yes—
110#552—48no—
111#533—24no—
112#533—42no—
113C2×C4⋊Q8—24no—
114C2×C4⋊Q8—21no—
115C2×C4⋊Q8—21no—
116C2×C4⋊Q8—42no—
117C2×C4⋊Q8C2311yescharacteristic
118C2×C4⋊Q8C2312yes—
119C2×C4⋊Q8C2311yescharacteristic
120C2×C4⋊Q8C2311yescharacteristic
121C2×C4⋊Q8C2311yescharacteristic
122C2×#126—22no—
123C2×#125—22no—
124C2×#125—21no—
125C2×#125—21no—
126C2×#123—22no—
127C2×C22⋊Q8—21no—
128C2×C22⋊Q8—21no—
129C2×C22⋊Q8—21no—
130C2×C22⋊Q8—21no—
131C2×C22⋊Q8C2312yes—
132C2×C22⋊Q8C2312yes—
133C2×C4×Q8—21no—
134C2×C4×Q8—21no—
135C2×C4×Q8C2312yes—
136C2×C4×Q8C2312yes—
137C2×C4×D4D411yescharacteristic
138C2×C4×D4D411yescharacteristic
139C2×C4×D4C2311yescharacteristic
140C2×#117—21no—
141C2×#117—21no—
142C2×#117—22no—
143C22×C4⋊C4—21no—
144C22×C4⋊C4—21no—
145C22×C4⋊C4—21no—
146C22×C4⋊C4—21no—
147C22×C4⋊C4C2312yes—
148C22×C42C2311yescharacteristic
149C22×C42C2311yescharacteristic
150#498—42no—
151#487—24no—
152#487—42no—
153C8×D4—28no—
154C2×#106C2314yes—
155C2×#106C2314yes—
156C2×C4⋊C8C2312yes—
157C2×#103—216no—
158C2×#103C2314yes—
159C2×#103C2314yes—
160C2×#103C2314yes—
161C2×#103C2314yes—
162C2×#103C2314yes—
163C2×#103C2314yes—
164C2×#103C2314yes—
165C2×#103C2314yes—
166C2×C22⋊C8C2312yes—
167C2×C22⋊C8C2312yes—
168C2×C4×C8—42no—
169C2×C4×C8—42no—
170C2×C4×C8C2311yescharacteristic
171C2×C4×C8C2311yescharacteristic
172C2×C4×C8C2311yescharacteristic
173C2×C4×C8C2311yescharacteristic
174C2×C4×C8C2312yes—
175C2×C4×C8C2312yes—
176C2×C4×C8C2312yes—
177C2×C4×C8C2312yes—
178#400—22no—
179#400—22no—
180#400—22no—
181#398—22no—
182#398—22no—
183#398—22no—
184#398—22no—
185#397—22no—
186#397—22no—
187#396—22no—
188#395—22no—
189#393—22no—
190#391—21no—
191#391—21no—
192#391—21no—
193#391—21no—
194#391—21no—
195#391—21no—
196#391—22no—
197#391—22no—
198#391C2312yes—
199#391C2312yes—
200#391C2312yes—
201#391C2312yes—
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#389—21no—
211#389—21no—
212#389—22no—
213#389C2312yes—
214#389C2312yes—
215#389C2312yes—
216#389C2312yes—
217#389C2312yes—
218#389C2312yes—
219#388—22no—
220#387—22no—
221#387—22no—
222#387—22no—
223#387—22no—
224#387—22no—
225#387—22no—
226#386—22no—
227#385—22no—
228#384—21no—
229#384—21no—
230#384C2311yescharacteristic
231#384C2311yescharacteristic
232#384C2311yescharacteristic
233#384C2311yescharacteristic
234#384C2312yes—
235#382—21no—
236#382—21no—
237#382—21no—
238#382—21no—
239#381—22no—
240#381—22no—
241#380—21no—
242#380—21no—
243#380—21no—
244#380—21no—
245#380—21no—
246#380—21no—
247#380—22no—
248#380C2312yes—
249#380C2312yes—
250#380C2312yes—
251#380C2312yes—
252C4×C4⋊C4—21no—
253C4×C4⋊C4—21no—
254C4×C4⋊C4—21no—
255C4×C4⋊C4—21no—
256C4×C4⋊C4D411yescharacteristic
257C4×C4⋊C4D411yescharacteristic
258C4×C4⋊C4C2312yes—
259C4×C4⋊C4C2312yes—
260C4×C4⋊C4C2311yescharacteristic
261C4×C22⋊C4—22no—
262C4×C22⋊C4D411yescharacteristic
263C4×C22⋊C4D411yescharacteristic
264C4×C22⋊C4D411yescharacteristic
265C4×C22⋊C4D411yescharacteristic
266C4×C22⋊C4C2311yescharacteristic
267C4×C22⋊C4C2311yescharacteristic
268C43C2311yescharacteristic
269#340C2314yes—
270#340C2314yes—
271#340C2314yes—
272#340C2314yes—
273#340C2314yes—
274#340C2314yes—
275#336C2312yes—
276#336C2312yes—
277#336C2312yes—
278C22×Q8—21no—
279C22×Q8—21no—
280C22×Q8—22no—
281C22×Q8—24no—
282C22×Q8—28no—
283C22×Q8—42no—
284C22×Q8—44no—
285C22×Q8C2412yes—
286C22×Q8C2412yes—
287C22×D4C2×D411yescharacteristic
288C23×C4—22no—
289C23×C4—22no—
290C23×C4C2×D411yescharacteristic
291C23×C4C2×D411yescharacteristic
292C23×C4C2×D411yescharacteristic
293C23×C4C2×D411yescharacteristic
294C23×C4C2411yescharacteristic
295C23×C4C2411yescharacteristic
296C22×C8—24no—
297C22×C8—42no—
298C22×C8—42no—
299C22×C8—42no—
300C22×C8—42no—
301C22×C8#4118yes—
302C22×C8C2412yes—
303C22×C8C2412yes—
304C22×C8C2412yes—
305C22×C8C2412yes—
306C4⋊Q8—24no—
307C4⋊Q8—22no—
308C4⋊Q8—22no—
309C4⋊Q8—22no—
310C4⋊Q8—22no—
311C4⋊Q8—22no—
312C4⋊Q8—22no—
313C4⋊Q8—22no—
314C4⋊Q8—44no—
315C4⋊Q8—44no—
316C4⋊Q8—42no—
317C4⋊Q8#4114yes—
318#126—48no—
319#125—44no—
320#125—48no—
321#125—44no—
322#123—48no—
323C22⋊Q8—24no—
324C22⋊Q8—42no—
325C22⋊Q8—44no—
326C22⋊Q8—44no—
327C22⋊Q8—44no—
328C22⋊Q8—44no—
329C22⋊Q8—44no—
330C4×Q8—24no—
331C4×Q8—42no—
332C4×Q8—44no—
333C4×Q8—44no—
334C4×Q8—44no—
335C4×D4—24no—
336C4×D4—24no—
337C4×D4SD1618yes—
338#117—44no—
339#117—44no—
340#117—48no—
341C2×C4⋊C4—21no—
342C2×C4⋊C4—21no—
343C2×C4⋊C4—28no—
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—21no—
352C2×C4⋊C4—21no—
353C2×C4⋊C4—22no—
354C2×C4⋊C4—22no—
355C2×C4⋊C4—21no—
356C2×C4⋊C4—22no—
357C2×C4⋊C4—22no—
358C2×C4⋊C4—21no—
359C2×C4⋊C4—22no—
360C2×C4⋊C4—22no—
361C2×C4⋊C4—22no—
362C2×C4⋊C4—22no—
363C2×C4⋊C4—21no—
364C2×C4⋊C4—22no—
365C2×C4⋊C4—22no—
366C2×C4⋊C4—21no—
367C2×C4⋊C4—21no—
368C2×C4⋊C4—21no—
369C2×C4⋊C4—22no—
370C2×C4⋊C4—22no—
371C2×C4⋊C4—44no—
372C2×C4⋊C4—44no—
373C2×C4⋊C4—44no—
374C2×C4⋊C4—44no—
375C2×C4⋊C4C2×D411yescharacteristic
376C2×C4⋊C4C2×D411yescharacteristic
377C2×C4⋊C4C2×D411yescharacteristic
378C2×C4⋊C4C2412yes—
379C2×C4⋊C4C2412yes—
380C2×C4⋊C4C2412yes—
381C2×C4⋊C4C2412yes—
382C2×C4⋊C4C2412yes—
383C2×C4⋊C4C2412yes—
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⋊C4C2×D411yescharacteristic
391C2×C22⋊C4C2×D411yescharacteristic
392C2×C22⋊C4C2×D411yescharacteristic
393C2×C22⋊C4C2×D411yescharacteristic
394C2×C22⋊C4C2×D411yescharacteristic
395C2×C22⋊C4C2×D411yescharacteristic
396C2×C42—22no—
397C2×C42—22no—
398C2×C42—22no—
399C2×C42—22no—
400C2×C42—22no—
401C2×C42—22no—
402C2×C42—22no—
403C2×C42—22no—
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×C42C2411yescharacteristic
413C2×C42C2411yescharacteristic
414C2×C42C2411yescharacteristic
415C2×C42C2411yescharacteristic
416C2×C42C2411yescharacteristic
417#106—44no—
418#106—44no—
419C4⋊C8—24no—
420#103—28no—
421#103—28no—
422#103—28no—
423#103—28no—
424#103—28no—
425#103—44no—
426#103—44no—
427#103—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—42no—
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—
454#95—22no—
455#95—22no—
456#95—22no—
457#95—22no—
458#95C2×D411yescharacteristic
459#95C2×D411yescharacteristic
460#95C2×D411yescharacteristic
461#95C2×D411yescharacteristic
462#95C2×D411yescharacteristic
463#95C2×D411yescharacteristic
464C24C22×D411yescharacteristic
465C24C22×D411yescharacteristic
466C2×Q8—22no—
467C2×Q8—24no—
468C2×Q8—24no—
469C2×Q8—22no—
470C2×Q8—22no—
471C2×Q8—24no—
472C2×Q8—24no—
473C2×Q8—44no—
474C2×Q8—416no—
475C2×Q8—44no—
476C2×Q8—42no—
477C2×Q8—42no—
478C2×Q8—42no—
479C2×Q8—42no—
480C2×Q8—42no—
481C2×Q8—42no—
482C2×Q8—82no—
483C2×Q8—88no—
484C2×Q8C2×#4114yes—
485C2×D4—22no—
486C2×D4—22no—
487C2×D4C2×SD1614yes—
488C22×C4—22no—
489C22×C4—22no—
490C22×C4—22no—
491C22×C4—22no—
492C22×C4—22no—
493C22×C4—22no—
494C22×C4—21no—
495C22×C4—21no—
496C22×C4—22no—
497C22×C4—22no—
498C22×C4—22no—
499C22×C4—22no—
500C22×C4—22no—
501C22×C4—22no—
502C22×C4—21no—
503C22×C4—21no—
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—44no—
513C22×C4—44no—
514C22×C4—44no—
515C22×C4—44no—
516C22×C4—44no—
517C22×C4—82no—
518C22×C4C2×SD1614yes—
519C22×C4C2×SD1614yes—
520C22×C4#13514yes—
521C22×C4C22×D411yescharacteristic
522C22×C4C22×D411yescharacteristic
523C22×C4C22×D411yescharacteristic
524C22×C4C22×D411yescharacteristic
525C22×C4C22×D411yescharacteristic
526C22×C4C22×D411yescharacteristic
527C22×C4C22×D411yescharacteristic
528C22×C4C22×D411yescharacteristic
529C22×C4C22×D411yescharacteristic
530C22×C4C22×D411yescharacteristic
531C22×C4C22×D411yescharacteristic
532C22×C4C22×D411yescharacteristic
533C22×C4C2×#4114yes—
534C22×C4C2511yescharacteristic
535C2×C8—22no—
536C2×C8—22no—
537C2×C8—22no—
538C2×C8—22no—
539C2×C8—22no—
540C2×C8—22no—
541C2×C8—22no—
542C2×C8—22no—
543C2×C8—22no—
544C2×C8—22no—
545C2×C8—48no—
546C2×C8—48no—
547C2×C8C2×#4114yes—
548C2×C8C2×#4114yes—
549C4⋊C4—22no—
550C4⋊C4—24no—
551C4⋊C4—24no—
552C4⋊C4—22no—
553C4⋊C4—24no—
554C4⋊C4—24no—
555C4⋊C4—22no—
556C4⋊C4—22no—
557C4⋊C4—22no—
558C4⋊C4—22no—
559C4⋊C4—24no—
560C4⋊C4—24no—
561C4⋊C4—44no—
562C4⋊C4—44no—
563C4⋊C4—44no—
564C4⋊C4—44no—
565C4⋊C4—44no—
566C4⋊C4—42no—
567C4⋊C4—42no—
568C4⋊C4—42no—
569C4⋊C4—42no—
570C4⋊C4—42no—
571C4⋊C4—42no—
572C4⋊C4—44no—
573C4⋊C4—42no—
574C4⋊C4—44no—
575C4⋊C4—44no—
576C4⋊C4—44no—
577C4⋊C4—44no—
578C4⋊C4—44no—
579C4⋊C4—44no—
580C4⋊C4—42no—
581C4⋊C4—42no—
582C4⋊C4—42no—
583C4⋊C4—44no—
584C4⋊C4—42no—
585C4⋊C4—42no—
586C4⋊C4—82no—
587C4⋊C4—82no—
588C4⋊C4C2×SD1614yes—
589C22⋊C4—22no—
590C22⋊C4—22no—
591C22⋊C4—22no—
592C22⋊C4—22no—
593C22⋊C4—44no—
594C22⋊C4—44no—
595C22⋊C4—44no—
596C22⋊C4—44no—
597C22⋊C4—44no—
598C22⋊C4—82no—
599C22⋊C4C2×SD1614yes—
600C22⋊C4C2×SD1614yes—
601C42—22no—
602C42—22no—
603C42—22no—
604C42—22no—
605C42—22no—
606C42—22no—
607C42—22no—
608C42—22no—
609C42—21no—
610C42—21no—
611C42—21no—
612C42—21no—
613C42—22no—
614C42—44no—
615C42—44no—
616C42—44no—
617C42—82no—
618C42C2×SD1614yes—
619C42C2×#4112yes—
620C42H(5,𝔽2)12yes—
621C23—21no—
622C23—21no—
623C23—21no—
624C23—21no—
625C23—21no—
626C23—21no—
627C23—21no—
628C23—21no—
629C23—21no—
630C23—21no—
631C23#53212yes—
632C23C22×SD1612yes—
633C23C22×SD1612yes—
634C23C2×#13512yes—
635C23C23×D411yescharacteristic
636Q8—28no—
637Q8—44no—
638Q8—44no—
639Q8—44no—
640Q8—88no—
641Q8—84no—
642Q8—84no—
643D4—28no—
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—21no—
655C2×C4—21no—
656C2×C4—24no—
657C2×C4—24no—
658C2×C4—28no—
659C2×C4—28no—
660C2×C4—28no—
661C2×C4—21no—
662C2×C4—21no—
663C2×C4—21no—
664C2×C4—21no—
665C2×C4—24no—
666C2×C4—21no—
667C2×C4—21no—
668C2×C4—21no—
669C2×C4—21no—
670C2×C4—21no—
671C2×C4—21no—
672C2×C4—21no—
673C2×C4—21no—
674C2×C4—42no—
675C2×C4—42no—
676C2×C4—42no—
677C2×C4—42no—
678C2×C4—44no—
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—42no—
696C2×C4—42no—
697C2×C4—42no—
698C2×C4—42no—
699C2×C4—42no—
700C2×C4—88no—
701C2×C4—88no—
702C2×C4#53212yes—
703C2×C4#54612yes—
704C2×C4#54612yes—
705C2×C4C22×SD1612yes—
706C2×C4C22×SD1612yes—
707C2×C4C22×SD1612yes—
708C2×C4C22×SD1612yes—
709C2×C4C22×SD1612yes—
710C2×C4C2×#13512yes—
711C2×C4C2×#13512yes—
712C2×C4#57812yes—
713C2×C4#57812yes—
714C2×C4C22×#4111yescharacteristic
715C2×C4C22×#4112yes—
716C2×C4C2×H(5,𝔽2)11yescharacteristic
717C2×C4#58512yes—
718C8—24no—
719C8—24no—
720C8—42no—
721C8—42no—
722C22—22no—
723C22—22no—
724C22—22no—
725C22—22no—
726C22—22no—
727C22—22no—
728C22—22no—
729C22—22no—
730C22—22no—
731C22—41no—
732C22—41no—
733C22—41no—
734C22—41no—
735C22#316714yes—
736C22C2×#53211yescharacteristic
737C22C2×#54611yescharacteristic
738C22#350011yescharacteristic
739C22C23×SD1611yescharacteristic
740C22C22×#13511yescharacteristic
741C22C2×#57811yescharacteristic
742C22C2×#57811yescharacteristic
743C4—22no—
744C4—22no—
745C4—22no—
746C4—22no—
747C4—22no—
748C4—22no—
749C4—41no—
750C4—44no—
751C4—41no—
752C4—41no—
753C4—41no—
754C4—82no—
755C4—82no—
756C4—82no—
757C4—82no—
758C4—82no—
759C4—82no—
760C4—82no—
761C4#329814yes—
762C4#330014yes—
763C4#347512yes—
764C4#350512yes—
765C2—24no—
766C2—42no—
767C2#3638611yescharacteristic
768C2C2×#316711yescharacteristic
769C2#6071511yescharacteristic
770C2C2×#329811yescharacteristic
771C2C2×#330011yescharacteristic
772C2#6252611yescharacteristic
773C2#6252811yescharacteristic
subgroupG/H
center, socleC23C23×D4
commutator, Frattini, cosocleC22×C4C25
prime radicalC22×D4C2×D4
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C23 ◁ C42×D4 ◁ G
LECSG ▷ C22×C4 ▷ C2 ▷ C1

Complements

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

NH ≅ G/Ntype
3. #33278C2semidirect
4. #33207C2semidirect
5. #33043C2semidirect
6. #29191C2semidirect
7. #29045C2semidirect
8. #29013C2semidirect
9. #28653C2semidirect
11. #27960C2semidirect
12. #27889C2semidirect
13. #25856C2semidirect
14. #25672C2semidirect
15. #22571C2semidirect
16. C4×#487C2semidirect
17. #21400C2semidirect
18. C2×#1956C2semidirect

Maximal subgroups

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

subgroupindex
#361812
#361292
#332782
#332072
#330432
#291912
#290452
#290132
#286532
#280982
#279602
#278892
#258562
#256722
#225712
C4×#4872
#214002
C2×#19562
C4×C8×D42