Finite Group Databasebeta

← #164267

Subgroups — #164267

Order 512.

1061 conjugacy classes of subgroups.

The subgroup lattice has 783 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#36374C211yesmaximal, characteristic
2#22532C211yesmaximal, characteristic, complemented
3#20378C211yesmaximal, characteristic, complemented
4#7710C211yesmaximal, characteristic, complemented
5#7698C211yesmaximal, characteristic, complemented
6#7690C211yesmaximal, characteristic, complemented
7#7675C211yesmaximal, characteristic, complemented
8#7674C211yesmaximal, characteristic, complemented
9#7661C211yesmaximal, characteristic, complemented
10#7634C211yesmaximal, characteristic, complemented
11#7629C211yesmaximal, characteristic, complemented
12#7612C211yesmaximal, characteristic, complemented
13#7589C211yesmaximal, characteristic, complemented
14#7575C211yesmaximal, characteristic, complemented
15#7563C211yesmaximal, characteristic, complemented
16C2×#548C411yescharacteristic
17C2×C4×#41C2211yescharacteristic
18C2×#446—21no—
19C2×#408—21no—
20C2×#405—21no—
21#2855C2211yescharacteristic
22#2854C2211yescharacteristic
23#2850C2211yescharacteristic
24#2592C411yescharacteristic
25#2581C411yescharacteristic
26#2477—21no—
27#2474—21no—
28#2465—21no—
29#2459—21no—
30#2444—21no—
31#2430—21no—
32#2416C411yescharacteristic
33#2415C411yescharacteristic
34#2409C411yescharacteristic
35#2407C411yescharacteristic
36#2364—21no—
37#2359—21no—
38#2352C411yescharacteristic
39C4×C22⋊Q8C2211yescharacteristic
40#2297C2211yescharacteristic
41C2×#391C2211yescharacteristic
42#1955—21no—
43#1955—21no—
44#1954—21no—
45#1797C2211yescharacteristic
46#1797C2211yescharacteristic
47#1797C2211yescharacteristic
48#1750—21no—
49#1750—21no—
50#1749C2211yescharacteristic
51#1749C2211yescharacteristic
52#1749C2211yescharacteristic
53#1749C2211yescharacteristic
54C4×C22⋊C8C2211yescharacteristic
55C4×C22⋊C8C2211yescharacteristic
56C4×C22⋊C8C2211yescharacteristic
57#1728C2211yescharacteristic
58C2×#336C2211yescharacteristic
59#1272C2211yescharacteristic
60#1272C2211yescharacteristic
61#1272C2211yescharacteristic
62#1272C2211yescharacteristic
63#1272C2211yescharacteristic
64#1272C2211yescharacteristic
65#1272C2211yescharacteristic
66#1272C2211yescharacteristic
67#1271C2211yescharacteristic
68#1271C2211yescharacteristic
69#1271C2211yescharacteristic
70#1271C2211yescharacteristic
71#1270C2211yescharacteristic
72#1270C2211yescharacteristic
73#1270C2211yescharacteristic
74#1270C2211yescharacteristic
75C22×#41C2×C411yescharacteristic
76C22×#41D411yescharacteristic
77C23×Q8C2×C411yescharacteristic
78C22×M16—21no—
79C23×C8—21no—
80#548—44no—
81C2×#124—21no—
82C2×#124C2×C411yescharacteristic
83C2×#123—21no—
84C2×C22⋊Q8—21no—
85C2×C22⋊Q8C2×C411yescharacteristic
86C2×C22⋊Q8C2×C411yescharacteristic
87C2×C22⋊Q8C2×C411yescharacteristic
88C2×#121—21no—
89C2×#121—21no—
90C2×#121C2×C411yescharacteristic
91C2×#121C2×C411yescharacteristic
92C4×#41—44no—
93C2×C4×Q8C2×C411yescharacteristic
94C2×C4×Q8C2×C411yescharacteristic
95C2×C4×Q8D411yescharacteristic
96C2×C4×D4—21no—
97C2×C4×D4C2×C411yescharacteristic
98C2×C4×D4C2×C411yescharacteristic
99C2×C4×D4C2×C411yescharacteristic
100C2×C4×D4D411yescharacteristic
101C2×C4×D4D411yescharacteristic
102C2×C4×D4D411yescharacteristic
103C2×#117C2×C411yescharacteristic
104C2×#117D411yescharacteristic
105C2×#117D411yescharacteristic
106C2×#117D411yescharacteristic
107C22×C4⋊C4C2×C411yescharacteristic
108C22×C42C2311yescharacteristic
109C22×C42C2311yescharacteristic
110C22×C42C2311yescharacteristic
111#446—44no—
112C2×C4⋊C8—21no—
113C2×C4⋊C8—21no—
114C2×C4⋊C8—21no—
115#408—28no—
116C2×C22⋊C8—21no—
117C2×C22⋊C8—21no—
118C2×C22⋊C8—21no—
119C2×C22⋊C8—21no—
120C2×C22⋊C8—21no—
121C2×C22⋊C8—21no—
122C2×C22⋊C8—21no—
123C2×C22⋊C8—21no—
124C2×C22⋊C8—21no—
125C2×C22⋊C8—21no—
126#405—44no—
127C2×#97—21no—
128C2×#97—21no—
129C2×#97—21no—
130C2×#97—21no—
131C2×C4×C8—21no—
132C2×C4×C8—21no—
133C2×C4×C8—21no—
134#400—21no—
135#397—21no—
136#397—21no—
137#396—21no—
138#395—21no—
139#395—21no—
140#394—21no—
141#394—21no—
142#394—21no—
143#393—21no—
144#393—21no—
145#392—21no—
146#391—21no—
147#391—21no—
148#391C2×C411yescharacteristic
149#391C2×C411yescharacteristic
150#391C2×C411yescharacteristic
151#391C2×C411yescharacteristic
152#391C2311yescharacteristic
153#391C2311yescharacteristic
154#390C2×C411yescharacteristic
155#390C2×C411yescharacteristic
156#390C2311yescharacteristic
157#389—21no—
158#389C2×C411yescharacteristic
159#389C2×C411yescharacteristic
160#389C2311yescharacteristic
161#388—21no—
162#388—21no—
163#388—21no—
164#388—21no—
165#388—21no—
166#388—21no—
167#388—21no—
168#388—21no—
169#387—21no—
170#387—21no—
171#387—21no—
172#387—21no—
173#387—21no—
174#387—21no—
175#386—21no—
176#386—21no—
177#386—21no—
178#386—21no—
179#386—21no—
180#386—21no—
181#386—21no—
182#386—21no—
183#386—21no—
184#385—21no—
185#385—21no—
186#385—21no—
187#385—21no—
188#382C2×C411yescharacteristic
189#381—21no—
190#380C2×C411yescharacteristic
191#380C2×C411yescharacteristic
192#380C2×C411yescharacteristic
193C4×C4⋊C4—21no—
194C4×C4⋊C4C2×C411yescharacteristic
195C4×C22⋊C4—21no—
196C4×C22⋊C4—21no—
197C4×C22⋊C4—21no—
198C4×C22⋊C4—21no—
199C2×#95—21no—
200C2×#95—21no—
201#336—21no—
202#336—21no—
203#336C2311yescharacteristic
204#336C2311yescharacteristic
205#336C2311yescharacteristic
206#336C2311yescharacteristic
207#336C2311yescharacteristic
208#336C2311yescharacteristic
209#336C2311yescharacteristic
210#336C2311yescharacteristic
211C2×#41—24no—
212C2×#41—22no—
213C2×#41—41no—
214C2×#41—41no—
215C2×#41—42no—
216C2×#41—41no—
217C2×#41—42no—
218C2×#41—81no—
219C22×Q8—21no—
220C22×Q8—22no—
221C22×Q8—41no—
222C22×Q8—42no—
223C22×Q8—81no—
224C22×Q8C22⋊C411yescharacteristic
225C22×Q8C22×C411yescharacteristic
226C22×Q8C22×C411yescharacteristic
227C22×D4—21no—
228C22×D4—21no—
229C22×D4—21no—
230C22×D4C22⋊C411yescharacteristic
231C22×D4C22⋊C411yescharacteristic
232C22×D4C22⋊C411yescharacteristic
233C22×D4C22×C411yescharacteristic
234C23×C4—21no—
235C23×C4—21no—
236C23×C4—21no—
237C23×C4C22×C411yescharacteristic
238C23×C4C22×C411yescharacteristic
239C23×C4C22×C411yescharacteristic
240C23×C4C2×D411yescharacteristic
241C23×C4C2×D411yescharacteristic
242C23×C4C2×D411yescharacteristic
243C23×C4C2×D411yescharacteristic
244C23×C4C2×D411yescharacteristic
245C23×C4C2×D411yescharacteristic
246C2×M16—24no—
247C2×M16—42no—
248C2×M16—42no—
249C22×C8—24no—
250C22×C8—21no—
251C22×C8—21no—
252C22×C8—21no—
253C22×C8—21no—
254C22×C8—21no—
255C22×C8—21no—
256C22×C8—21no—
257C22×C8—21no—
258C22×C8—42no—
259C22×C8—42no—
260#124—42no—
261#124—44no—
262#123—42no—
263#123—42no—
264C22⋊Q8—22no—
265C22⋊Q8—41no—
266C22⋊Q8—44no—
267C22⋊Q8—42no—
268C22⋊Q8—81no—
269#121—44no—
270#121—44no—
271#121—42no—
272#121—81no—
273C4×Q8—24no—
274C4×Q8—42no—
275C4×Q8—42no—
276C4×D4—24no—
277C4×D4—42no—
278C4×D4—42no—
279C4×D4—42no—
280C4×D4—42no—
281C4×D4—42no—
282C4×D4—44no—
283#117—24no—
284#117—42no—
285#117—42no—
286#117—81no—
287C2×C4⋊C4—21no—
288C2×C4⋊C4—21no—
289C2×C4⋊C4—21no—
290C2×C4⋊C4—21no—
291C2×C4⋊C4—21no—
292C2×C4⋊C4—21no—
293C2×C4⋊C4—21no—
294C2×C4⋊C4—21no—
295C2×C4⋊C4—81no—
296C2×C4⋊C4C22⋊C411yescharacteristic
297C2×C4⋊C4C22⋊C411yescharacteristic
298C2×C4⋊C4C22⋊C411yescharacteristic
299C2×C4⋊C4C22⋊C411yescharacteristic
300C2×C4⋊C4C22⋊C411yescharacteristic
301C2×C4⋊C4C22⋊C411yescharacteristic
302C2×C4⋊C4C22×C411yescharacteristic
303C2×C4⋊C4C22×C411yescharacteristic
304C2×C4⋊C4C22×C411yescharacteristic
305C2×C4⋊C4C22×C411yescharacteristic
306C2×C4⋊C4C22×C411yescharacteristic
307C2×C22⋊C4—21no—
308C2×C22⋊C4—21no—
309C2×C22⋊C4—21no—
310C2×C22⋊C4—21no—
311C2×C22⋊C4—21no—
312C2×C22⋊C4—21no—
313C2×C22⋊C4—21no—
314C2×C22⋊C4—21no—
315C2×C22⋊C4—21no—
316C2×C22⋊C4—21no—
317C2×C22⋊C4—21no—
318C2×C22⋊C4—21no—
319C2×C22⋊C4—21no—
320C2×C22⋊C4—21no—
321C2×C22⋊C4—21no—
322C2×C22⋊C4—21no—
323C2×C22⋊C4—21no—
324C2×C22⋊C4C22⋊C411yescharacteristic
325C2×C22⋊C4C22⋊C411yescharacteristic
326C2×C22⋊C4C22⋊C411yescharacteristic
327C2×C22⋊C4C22⋊C411yescharacteristic
328C2×C22⋊C4C22⋊C411yescharacteristic
329C2×C22⋊C4C22⋊C411yescharacteristic
330C2×C42—21no—
331C2×C42—21no—
332C2×C42—21no—
333C2×C42—42no—
334C2×C42—42no—
335C2×C42—42no—
336C2×C42C22×C411yescharacteristic
337C2×C42C22×C411yescharacteristic
338C2×C42C22×C411yescharacteristic
339C2×C42C2×D411yescharacteristic
340C2×C42C2×D411yescharacteristic
341C2×C42C2×D411yescharacteristic
342C2×C42C2×D411yescharacteristic
343C2×C42C2×D411yescharacteristic
344C2×C42C2×D411yescharacteristic
345C2×C42C2411yescharacteristic
346C4⋊C8—42no—
347C4⋊C8—42no—
348C4⋊C8—42no—
349C22⋊C8—24no—
350C22⋊C8—24no—
351C22⋊C8—24no—
352C22⋊C8—24no—
353C22⋊C8—42no—
354C22⋊C8—42no—
355C22⋊C8—42no—
356C22⋊C8—81no—
357C22⋊C8—81no—
358C22⋊C8—81no—
359#97—42no—
360#97—42no—
361#97—42no—
362#97—42no—
363C4×C8—42no—
364C4×C8—42no—
365C4×C8—42no—
366#95—21no—
367#95—21no—
368#95—21no—
369#95—21no—
370#95—21no—
371#95—21no—
372#95—21no—
373#95—21no—
374#95—21no—
375#95—21no—
376#95—21no—
377#95—21no—
378#95—21no—
379#95—21no—
380#95—21no—
381#95—21no—
382#95—21no—
383#95—21no—
384#95—21no—
385#95—21no—
386#95—21no—
387C24—21no—
388C24C2×C22⋊C411yescharacteristic
389C24C2×C22⋊C411yescharacteristic
390C24C2×C22⋊C411yescharacteristic
391#41—48no—
392#41—48no—
393#41—84no—
394#41—84no—
395C2×Q8—21no—
396C2×Q8—22no—
397C2×Q8—22no—
398C2×Q8—21no—
399C2×Q8—21no—
400C2×Q8—41no—
401C2×Q8—42no—
402C2×Q8—41no—
403C2×Q8—41no—
404C2×Q8—41no—
405C2×Q8—41no—
406C2×Q8—42no—
407C2×Q8—81no—
408C2×Q8—84no—
409C2×Q8—84no—
410C2×Q8#13112yes—
411C2×D4—22no—
412C2×D4—22no—
413C2×D4—21no—
414C2×D4—21no—
415C2×D4—22no—
416C2×D4—41no—
417C2×D4—41no—
418C2×D4—41no—
419C2×D4—41no—
420C2×D4—41no—
421C2×D4—42no—
422C2×D4—41no—
423C2×D4—41no—
424C2×D4—42no—
425C2×D4—42no—
426C2×D4—42no—
427C2×D4—42no—
428C2×D4—42no—
429C2×D4—81no—
430C2×D4—81no—
431C2×D4—81no—
432C2×D4#10414yes—
433C22×C4—22no—
434C22×C4—21no—
435C22×C4—21no—
436C22×C4—22no—
437C22×C4—21no—
438C22×C4—22no—
439C22×C4—21no—
440C22×C4—21no—
441C22×C4—21no—
442C22×C4—21no—
443C22×C4—21no—
444C22×C4—21no—
445C22×C4—21no—
446C22×C4—21no—
447C22×C4—22no—
448C22×C4—22no—
449C22×C4—22no—
450C22×C4—21no—
451C22×C4—21no—
452C22×C4—21no—
453C22×C4—21no—
454C22×C4—21no—
455C22×C4—21no—
456C22×C4—21no—
457C22×C4—21no—
458C22×C4—21no—
459C22×C4—21no—
460C22×C4—21no—
461C22×C4—21no—
462C22×C4—21no—
463C22×C4—21no—
464C22×C4—41no—
465C22×C4—41no—
466C22×C4—41no—
467C22×C4—41no—
468C22×C4—41no—
469C22×C4—41no—
470C22×C4—41no—
471C22×C4—41no—
472C22×C4—41no—
473C22×C4—41no—
474C22×C4—41no—
475C22×C4—41no—
476C22×C4—42no—
477C22×C4—42no—
478C22×C4—42no—
479C22×C4—42no—
480C22×C4—42no—
481C22×C4—81no—
482C22×C4—81no—
483C22×C4—81no—
484C22×C4—81no—
485C22×C4C2×C22⋊C411yescharacteristic
486C22×C4C2×C22⋊C411yescharacteristic
487C22×C4C2×C22⋊C411yescharacteristic
488C22×C4C2×C22⋊C411yescharacteristic
489C22×C4C2×C22⋊C411yescharacteristic
490C22×C4C2×C22⋊C411yescharacteristic
491C22×C4C2×C22⋊C411yescharacteristic
492C22×C4C2×C22⋊C411yescharacteristic
493C22×C4C2×C22⋊C411yescharacteristic
494C22×C4C23×C411yescharacteristic
495C22×C4C22×D411yescharacteristic
496C22×C4C22×D411yescharacteristic
497M16—48no—
498C2×C8—22no—
499C2×C8—22no—
500C2×C8—22no—
501C2×C8—22no—
502C2×C8—22no—
503C2×C8—41no—
504C2×C8—41no—
505C2×C8—41no—
506C2×C8—41no—
507C2×C8—41no—
508C2×C8—48no—
509C2×C8—41no—
510C2×C8—41no—
511C2×C8—41no—
512C2×C8—41no—
513C2×C8—41no—
514C2×C8—41no—
515C2×C8—41no—
516C2×C8—41no—
517C2×C8—41no—
518C2×C8—41no—
519C2×C8—41no—
520C2×C8—41no—
521C2×C8—41no—
522C2×C8—41no—
523C4⋊C4—22no—
524C4⋊C4—22no—
525C4⋊C4—22no—
526C4⋊C4—21no—
527C4⋊C4—21no—
528C4⋊C4—41no—
529C4⋊C4—41no—
530C4⋊C4—42no—
531C4⋊C4—41no—
532C4⋊C4—41no—
533C4⋊C4—41no—
534C4⋊C4—41no—
535C4⋊C4—42no—
536C4⋊C4—41no—
537C4⋊C4—41no—
538C4⋊C4—42no—
539C4⋊C4—42no—
540C4⋊C4—42no—
541C4⋊C4—81no—
542C4⋊C4—81no—
543C4⋊C4#9914yes—
544C22⋊C4—22no—
545C22⋊C4—22no—
546C22⋊C4—22no—
547C22⋊C4—22no—
548C22⋊C4—41no—
549C22⋊C4—41no—
550C22⋊C4—42no—
551C22⋊C4—42no—
552C22⋊C4—42no—
553C22⋊C4—42no—
554C22⋊C4—42no—
555C22⋊C4—42no—
556C22⋊C4—41no—
557C22⋊C4—41no—
558C22⋊C4—41no—
559C22⋊C4—41no—
560C22⋊C4—42no—
561C22⋊C4—42no—
562C22⋊C4—42no—
563C22⋊C4—81no—
564C22⋊C4—81no—
565C22⋊C4—81no—
566C22⋊C4—81no—
567C22⋊C4—81no—
568C22⋊C4—81no—
569C42—22no—
570C42—22no—
571C42—22no—
572C42—22no—
573C42—22no—
574C42—22no—
575C42—41no—
576C42—41no—
577C42—41no—
578C42—41no—
579C42—42no—
580C42—81no—
581C42—81no—
582C23—21no—
583C23—21no—
584C23—21no—
585C23—21no—
586C23—21no—
587C23—21no—
588C23—21no—
589C23—21no—
590C23—21no—
591C23—21no—
592C23—21no—
593C23—21no—
594C23—21no—
595C23—21no—
596C23—21no—
597C23—21no—
598C23—21no—
599C23—21no—
600C23—21no—
601C23—41no—
602C23—41no—
603C23—41no—
604C23—41no—
605C23—41no—
606C23—41no—
607C23—41no—
608C23C2×#10412yes—
609C23C2×#10412yes—
610C23C22×C22⋊C411yescharacteristic
611Q8—44no—
612Q8—42no—
613Q8—42no—
614Q8—84no—
615Q8—81no—
616Q8—81no—
617D4—44no—
618D4—44no—
619D4—44no—
620D4—81no—
621D4—81no—
622D4—84no—
623D4—84no—
624D4—162no—
625C2×C4—24no—
626C2×C4—24no—
627C2×C4—21no—
628C2×C4—21no—
629C2×C4—21no—
630C2×C4—21no—
631C2×C4—21no—
632C2×C4—21no—
633C2×C4—21no—
634C2×C4—21no—
635C2×C4—21no—
636C2×C4—21no—
637C2×C4—21no—
638C2×C4—21no—
639C2×C4—21no—
640C2×C4—21no—
641C2×C4—22no—
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—21no—
655C2×C4—21no—
656C2×C4—21no—
657C2×C4—42no—
658C2×C4—42no—
659C2×C4—42no—
660C2×C4—42no—
661C2×C4—42no—
662C2×C4—42no—
663C2×C4—42no—
664C2×C4—42no—
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—41no—
675C2×C4—41no—
676C2×C4—41no—
677C2×C4—41no—
678C2×C4—41no—
679C2×C4—41no—
680C2×C4—41no—
681C2×C4—41no—
682C2×C4—41no—
683C2×C4—41no—
684C2×C4—41no—
685C2×C4—81no—
686C2×C4—81no—
687C2×C4—81no—
688C2×C4—81no—
689C2×C4—81no—
690C2×C4—81no—
691C2×C4—81no—
692C2×C4—81no—
693C2×C4—84no—
694C2×C4—84no—
695C2×C4—162no—
696C2×C4C2×#9912yes—
697C2×C4C2×#9912yes—
698C2×C4C2×#9912yes—
699C2×C4C2×#10412yes—
700C2×C4C2×#13111yescharacteristic
701C2×C4#56811yescharacteristic
702C2×C4#57511yescharacteristic
703C2×C4#57511yescharacteristic
704C2×C4#57711yescharacteristic
705C2×C4#57811yescharacteristic
706C8—42no—
707C8—42no—
708C8—42no—
709C8—42no—
710C8—42no—
711C8—81no—
712C8—81no—
713C8—81no—
714C22—22no—
715C22—22no—
716C22—22no—
717C22—22no—
718C22—22no—
719C22—22no—
720C22—41no—
721C22—41no—
722C22—41no—
723C22—41no—
724C22—41no—
725C22—41no—
726C22—41no—
727C22—41no—
728C22—41no—
729C22—41no—
730C22—41no—
731C22—41no—
732C22—41no—
733C22—41no—
734C22—41no—
735C22—81no—
736C22—81no—
737C22—81no—
738C22—81no—
739C22—81no—
740C22—81no—
741C22—81no—
742C22#288011yescharacteristic
743C22C22×#9911yescharacteristic
744C22#288811yescharacteristic
745C22#289611yescharacteristic
746C22#289811yescharacteristic
747C22C22×#10411yescharacteristic
748C22#290111yescharacteristic
749C4—21no—
750C4—21no—
751C4—22no—
752C4—22no—
753C4—21no—
754C4—21no—
755C4—22no—
756C4—22no—
757C4—21no—
758C4—21no—
759C4—41no—
760C4—42no—
761C4—41no—
762C4—41no—
763C4—41no—
764C4—41no—
765C4—81no—
766C4—81no—
767C4—81no—
768C4—81no—
769C4—81no—
770C4—81no—
771C2—42no—
772C2—42no—
773C2—81no—
774C2—161no—
775C2#1741111yescharacteristic
776C2#1751611yescharacteristic
777C2#1751911yescharacteristic
778C2#1754211yescharacteristic
779C2#1760611yescharacteristic
780C2#1765211yescharacteristic
781C2#1776811yescharacteristic
subgroupG/H
center, socleC23C22×C22⋊C4
commutatorC22×C4C23×C4
Frattini, cosocleC2×C42C24
prime radical#36374C2
LCSG ▷ C22×C4 ▷ C22 ▷ C1
UCSC1 ◁ C23 ◁ C2×C4×#41 ◁ G
LECSG ▷ C2×C42 ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
2. #22532C2semidirect
3. #20378C2semidirect
4. #7710C2semidirect
5. #7698C2semidirect
6. #7690C2semidirect
7. #7675C2semidirect
8. #7674C2semidirect
9. #7661C2semidirect
10. #7634C2semidirect
11. #7629C2semidirect
12. #7612C2semidirect
13. #7589C2semidirect
14. #7575C2semidirect
15. #7563C2semidirect

Maximal subgroups

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

subgroupindex
#363742
#225322
#203782
#77102
#76982
#76902
#76752
#76742
#76612
#76342
#76292
#76122
#75892
#75752
#75632