Finite Group Databasebeta

← #6345379

Subgroups — #6345379

Order 512.

1604 conjugacy classes of subgroups.

The subgroup lattice has 752 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#60563C211yesmaximal, characteristic
2#60284C211yesmaximal, characteristic, complemented
3#60264C211yesmaximal, characteristic, complemented
4#18049C214yesmaximal, complemented
5#18048C214yesmaximal, complemented
6#18033C214yesmaximal, complemented
7#18031C214yesmaximal, complemented
8#17946C214yesmaximal, complemented
9#17919C214yesmaximal, complemented
10#17820C211yesmaximal, characteristic, complemented
11#17497C211yesmaximal, characteristic, complemented
12#17451C211yesmaximal, characteristic, complemented
13#17339C211yesmaximal, characteristic, complemented
14C2×#529C2211yescharacteristic
15C2×C4×#41C2211yescharacteristic
16#3117C412yes—
17#3114C412yes—
18#3111C414yes—
19#3108C2212yes—
20#3105C2212yes—
21#3102C2214yes—
22#3095C411yescharacteristic
23#3094C411yescharacteristic
24#3080C412yes—
25#3040C412yes—
26#3007C411yescharacteristic
27#3006C411yescharacteristic
28#2995—22no—
29#2994C2214yescomplemented
30#2993C2214yes—
31#2992—22no—
32#2991—21no—
33#2991—21no—
34#2991C2212yescomplemented
35#2991C2212yescomplemented
36#2982C2212yescomplemented
37#2975—22no—
38#2975C2212yescomplemented
39#2971—22no—
40#2971C2214yes—
41Q8×M16C2212yescomplemented
42C4×#137C2212yes—
43C4×AGL(1,ℤ/8)C2212yes—
44D4×M16—22no—
45D4×M16C2212yescomplemented
46#2921—21no—
47#2920—22no—
48#2920C2211yescharacteristic
49#2920C2211yescharacteristic
50#2920C2211yescharacteristic
51#2920C2211yescharacteristic
52#2905—21no—
53C2×#423C2211yescharacteristic
54#1594C2214yescomplemented
55#1592C2214yescomplemented
56#1590C2214yescomplemented
57#1589C2214yescomplemented
58#1588C2214yescomplemented
59#1588C2214yescomplemented
60#1587C2214yescomplemented
61#1586C2214yescomplemented
62#1584C2214yescomplemented
63#1583C2214yescomplemented
64#1583C2214yescomplemented
65#1581C2214yescomplemented
66#1579C2214yescomplemented
67SD16⋊C8C2214yescomplemented
68C8×Q16C2214yescomplemented
69C8×SD16C2214yescomplemented
70#1574C2214yescomplemented
71#1571C2212yescomplemented
72#1570C2212yescomplemented
73#1569C2214yescomplemented
74#1495C2212yescomplemented
75#1495C2212yescomplemented
76#1491C2212yescomplemented
77#1490C2212yescomplemented
78#1489C2214yes—
79#1487C2212yescomplemented
80#1486C2212yescomplemented
81#1482C2214yes—
82#1477C2214yescomplemented
83#1455C2214yescomplemented
84#1454C2214yescomplemented
85#1454C2214yescomplemented
86C22×#41C2×C411yescharacteristic
87C2×#137C2×C412yes—
88C2×AGL(1,ℤ/8)C2×C412yes—
89C22×M16—21no—
90C22×M16—22no—
91#529—21no—
92#529—21no—
93#529—21no—
94#529—21no—
95#529C2×C412yes—
96#529C2×C412yes—
97#529C2312yes—
98#529C2312yes—
99C2×#126—21no—
100C2×#125C2×C411yescharacteristic
101C2×#124C2×C411yescharacteristic
102C2×#123—21no—
103C2×C22⋊Q8C2×C411yescharacteristic
104C2×#121C2×C411yescharacteristic
105C4×#41—21no—
106C4×#41—21no—
107C4×#41—21no—
108C4×#41—21no—
109C4×#41C2×C412yes—
110C4×#41C2×C412yes—
111C4×#41C2312yes—
112C4×#41C2312yes—
113C2×C4×Q8C2×C411yescharacteristic
114C2×C4×Q8C2311yescharacteristic
115C2×C4×Q8C2311yescharacteristic
116C2×C4×D4—21no—
117C2×C4×D4—21no—
118C2×C4×D4—21no—
119C2×C4×D4C2×C411yescharacteristic
120C2×C4×D4C2311yescharacteristic
121C2×C4×D4C2311yescharacteristic
122C2×#117—21no—
123C2×#117—21no—
124C2×#117C2×C411yescharacteristic
125C22×C42—21no—
126C22×C42C2311yescharacteristic
127#485C2×C414yes—
128#484C2×C412yes—
129#483C2×C412yes—
130#482C2×C414yes—
131#481C2×C412yes—
132#480C2×C412yes—
133#479C2×C414yes—
134#479C2×C414yes—
135#478C2×C414yes—
136#478C2×C414yes—
137#464C2×C414yes—
138#464C2×C414yes—
139#463C2×C414yes—
140#463C2×C414yes—
141#452C2×C414yes—
142#451C2×C412yes—
143#450C2×C412yes—
144#449C2×C414yes—
145#448C2×C412yes—
146#447C2×C412yes—
147#446—24no—
148#446C2314yes—
149C8×Q8—22no—
150C8×Q8—22no—
151C8×Q8C2314yes—
152C8×Q8C2314yes—
153C8×Q8C2314yes—
154#442C2×C414yes—
155#441C2×C414yes—
156#440C2×C414yes—
157#440C2×C414yes—
158C4×Q16C2314yes—
159C4×SD16C2314yes—
160C4×SD16C2314yes—
161C4×D8C2314yes—
162#436—24no—
163#436—24no—
164#436—22no—
165#436—22no—
166#436—24no—
167#436—24no—
168#436—24no—
169#436C2314yes—
170#436C2314yes—
171#436C2314yes—
172#435—24no—
173#435—24no—
174#435—24no—
175C8×D4—24no—
176C8×D4C2314yes—
177#433—24no—
178#433—24no—
179#432—21no—
180#432—21no—
181#432—21no—
182#432—24no—
183#432C2×C412yes—
184#432C2×C412yes—
185#432D412yes—
186#432D412yes—
187#432C2312yes—
188#431—21no—
189#431—22no—
190#431—22no—
191#431—24no—
192#431C2312yes—
193#431C2312yes—
194#431C2312yes—
195#431C2312yes—
196#431C2312yes—
197#431C2312yes—
198#431C2312yes—
199#428C2×C412yes—
200#428C2×C412yes—
201#424—24no—
202#424—24no—
203#423—22no—
204#423—21no—
205#423—21no—
206#423—21no—
207#423—22no—
208#423—22no—
209#423C2×C412yes—
210#423D411yescharacteristic
211#423D411yescharacteristic
212#423C2312yes—
213#423C2311yescharacteristic
214#423C2311yescharacteristic
215#423C2312yes—
216C2×C4⋊C8—21no—
217C2×C4⋊C8C2312yes—
218#419C2×C412yes—
219#418C2×C412yes—
220#417C2×C412yes—
221#417C2×C412yes—
222#407—21no—
223#407—21no—
224#407—22no—
225#407—24no—
226#407C2×C411yescharacteristic
227#407C2×C411yescharacteristic
228#407D412yes—
229C4×M16—22no—
230C4×M16—21no—
231C4×M16—24no—
232C4×M16C2312yes—
233C4×M16C2312yes—
234C4×M16C2312yes—
235#335C2314yes—
236#335C2314yes—
237#334C2314yes—
238#334C2314yes—
239Q8⋊C8C2314yes—
240Q8⋊C8C2314yes—
241Q8⋊C8C2314yes—
242Q8⋊C8C2314yes—
243D4⋊C8C2314yes—
244D4⋊C8C2314yes—
245D4⋊C8C2314yes—
246D4⋊C8C2314yes—
247#322C2314yes—
248#322C2314yes—
249#322C2314yes—
250C82C2314yes—
251C2×#41—21no—
252C2×#41—21no—
253C2×#41—44no—
254C2×#41C22×C412yes—
255C2×#41C22×C412yes—
256C22×Q8C22×C411yescharacteristic
257C22×Q8C22×C411yescharacteristic
258C22×D4—21no—
259C22×D4—21no—
260C22×D4C22×C411yescharacteristic
261C22×D4C22×C411yescharacteristic
262C23×C4—21no—
263C23×C4—21no—
264C23×C4—21no—
265C23×C4—21no—
266C23×C4C22×C411yescharacteristic
267C23×C4C2×D411yescharacteristic
268C23×C4#4111yescharacteristic
269#137—44no—
270AGL(1,ℤ/8)—44no—
271C2×Q16C22×C414yes—
272C2×SD16C22×C414yes—
273C2×SD16C22×C414yes—
274C2×D8C22×C414yes—
275C2×M16—22no—
276C2×M16—22no—
277C2×M16—21no—
278C2×M16—21no—
279C2×M16—22no—
280C2×M16—24no—
281C2×M16—24no—
282C2×M16—24no—
283C2×M16—84no—
284C2×M16—82no—
285C2×M16C22×C412yes—
286C2×M16C22×C412yes—
287C2×M16C2×D412yes—
288C2×M16C2×D412yes—
289C22×C8—22no—
290C22×C8—24no—
291#126—22no—
292#126—22no—
293#126—22no—
294#126—22no—
295#125—21no—
296#125—21no—
297#125C22×C412yes—
298#125C22×C412yes—
299#124—21no—
300#124—21no—
301#124C22×C412yes—
302#124C22×C412yes—
303#123—22no—
304#123—22no—
305#123—22no—
306#123—22no—
307C22⋊Q8—21no—
308C22⋊Q8—21no—
309C22⋊Q8C22×C412yes—
310C22⋊Q8C22×C412yes—
311#121—21no—
312#121—21no—
313#121C22×C412yes—
314#121C22×C412yes—
315C4×Q8—21no—
316C4×Q8—21no—
317C4×Q8—21no—
318C4×Q8—21no—
319C4×Q8—21no—
320C4×Q8—21no—
321C4×Q8C22×C412yes—
322C4×Q8C22×C412yes—
323C4×Q8C22×C412yes—
324C4×Q8C22×C412yes—
325C4×Q8C2412yes—
326C4×Q8C2412yes—
327C4×D4—22no—
328C4×D4—22no—
329C4×D4—22no—
330C4×D4—22no—
331C4×D4—22no—
332C4×D4—22no—
333C4×D4—22no—
334C4×D4—22no—
335C4×D4—22no—
336C4×D4—22no—
337C4×D4—22no—
338C4×D4—22no—
339C4×D4—21no—
340C4×D4—21no—
341C4×D4—21no—
342C4×D4—21no—
343C4×D4—21no—
344C4×D4—21no—
345C4×D4C22×C412yes—
346C4×D4C22×C412yes—
347C4×D4C22×C412yes—
348C4×D4C22×C412yes—
349C4×D4C2412yes—
350C4×D4C2412yes—
351#117—21no—
352#117—21no—
353#117—22no—
354#117—22no—
355#117—22no—
356#117—22no—
357#117—22no—
358#117—22no—
359#117—22no—
360#117—22no—
361#117C22×C412yes—
362#117C22×C412yes—
363C2×C4⋊C4—21no—
364C2×C4⋊C4—21no—
365C2×C4⋊C4—21no—
366C2×C4⋊C4—21no—
367C2×C4⋊C4—21no—
368C2×C4⋊C4—21no—
369C2×C4⋊C4C22×C411yescharacteristic
370C2×C4⋊C4C22×C411yescharacteristic
371C2×C4⋊C4C22×C411yescharacteristic
372C2×C4⋊C4C22×C411yescharacteristic
373C2×C22⋊C4—21no—
374C2×C22⋊C4—21no—
375C2×C22⋊C4—21no—
376C2×C22⋊C4—21no—
377C2×C22⋊C4—21no—
378C2×C22⋊C4—21no—
379C2×C22⋊C4—21no—
380C2×C22⋊C4—21no—
381C2×C42—21no—
382C2×C42—21no—
383C2×C42—21no—
384C2×C42—21no—
385C2×C42—22no—
386C2×C42—22no—
387C2×C42—22no—
388C2×C42—22no—
389C2×C42C22×C411yescharacteristic
390C2×C42C22×C411yescharacteristic
391C2×C42C22×C411yescharacteristic
392C2×C42C2×D411yescharacteristic
393C2×C42C2×D411yescharacteristic
394C2×C42C2×D411yescharacteristic
395C2×C42#4111yescharacteristic
396C2×C42#4111yescharacteristic
397C2×C42#4111yescharacteristic
398C2×C42C2411yescharacteristic
399C2×C42C2411yescharacteristic
400C2×C42C2411yescharacteristic
401#107C22×C414yes—
402#107C22×C414yes—
403#106C22×C414yes—
404#106C22×C414yes—
405C4⋊C8—24no—
406C4⋊C8—24no—
407C4⋊C8—24no—
408C4⋊C8—24no—
409C4⋊C8—22no—
410C4⋊C8—22no—
411C4⋊C8—22no—
412C4⋊C8—21no—
413C4⋊C8—21no—
414C4⋊C8—22no—
415C4⋊C8—22no—
416C4⋊C8C22×C414yes—
417C4⋊C8C22×C414yes—
418C4⋊C8C2×D412yes—
419C4⋊C8C2×D412yes—
420C4⋊C8C2×D412yes—
421C4⋊C8C2×D412yes—
422C4⋊C8C2412yes—
423C4⋊C8C2414yes—
424C4⋊C8C2412yes—
425#103C22×C414yes—
426#103C22×C414yes—
427#103C22×C414yes—
428#103C22×C414yes—
429#102C22×C414yes—
430#102C22×C414yes—
431#102C22×C414yes—
432#102C22×C414yes—
433C22⋊C8—22no—
434C22⋊C8—22no—
435C22⋊C8—22no—
436C22⋊C8—22no—
437C22⋊C8—24no—
438C22⋊C8—24no—
439C22⋊C8—24no—
440C22⋊C8—24no—
441C22⋊C8C22×C412yes—
442C22⋊C8C22×C412yes—
443C22⋊C8C22×C412yes—
444C22⋊C8C22×C412yes—
445C22⋊C8C2×D414yes—
446C22⋊C8C2×D414yes—
447#97—24no—
448#97—22no—
449#97—22no—
450#97C22×C414yes—
451#97C2×D414yes—
452C4×C8—24no—
453C4×C8—24no—
454C4×C8—24no—
455C4×C8—22no—
456C4×C8C2414yes—
457C4×C8C2414yes—
458C4×C8C2414yes—
459C24—21no—
460C24—21no—
461C24C4×D411yescharacteristic
462#41—24no—
463#41—24no—
464#41—42no—
465#41—42no—
466#41—44no—
467#41—44no—
468C2×Q8—24no—
469C2×Q8—21no—
470C2×Q8—21no—
471C2×Q8—42no—
472C2×Q8C23×C412yes—
473C2×Q8C23×C412yes—
474C2×D4—22no—
475C2×D4—22no—
476C2×D4—22no—
477C2×D4—22no—
478C2×D4—21no—
479C2×D4—21no—
480C2×D4—42no—
481C2×D4—42no—
482C2×D4—44no—
483C2×D4—82no—
484C2×D4C23×C412yes—
485C2×D4C23×C412yes—
486C22×C4—21no—
487C22×C4—21no—
488C22×C4—21no—
489C22×C4—21no—
490C22×C4—21no—
491C22×C4—21no—
492C22×C4—22no—
493C22×C4—22no—
494C22×C4—22no—
495C22×C4—22no—
496C22×C4—22no—
497C22×C4—22no—
498C22×C4—22no—
499C22×C4—22no—
500C22×C4—41no—
501C22×C4—42no—
502C22×C4—41no—
503C22×C4—42no—
504C22×C4—42no—
505C22×C4—44no—
506C22×C4—81no—
507C22×C4—81no—
508C22×C4—81no—
509C22×C4—82no—
510C22×C4C4×D411yescharacteristic
511C22×C4C4×D411yescharacteristic
512C22×C4C4×D411yescharacteristic
513C22×C4C4×D411yescharacteristic
514C22×C4C4×D411yescharacteristic
515C22×C4C4×D411yescharacteristic
516C22×C4C4×D411yescharacteristic
517C22×C4C4×D411yescharacteristic
518C22×C4C4×D411yescharacteristic
519C22×C4C23×C411yescharacteristic
520C22×C4C23×C411yescharacteristic
521C22×C4C23×C411yescharacteristic
522C22×C4C22×D411yescharacteristic
523C22×C4C22×D411yescharacteristic
524C22×C4C22×D411yescharacteristic
525C22×C4C2×#4111yescharacteristic
526C22×C4C2×#4111yescharacteristic
527C22×C4C2×#4111yescharacteristic
528Q16—28no—
529SD16—28no—
530SD16—44no—
531D8—44no—
532M16—42no—
533M16—42no—
534M16—42no—
535M16—42no—
536M16—44no—
537M16—84no—
538M16—84no—
539M16—84no—
540M16—81no—
541M16—81no—
542M16—82no—
543M16—82no—
544C2×C8—22no—
545C2×C8—22no—
546C2×C8—24no—
547C2×C8—24no—
548C2×C8—84no—
549C2×C8—82no—
550C2×C8C23×C414yes—
551C2×C8C23×C414yes—
552C2×C8C22×D414yes—
553C2×C8C22×D414yes—
554C4⋊C4—22no—
555C4⋊C4—22no—
556C4⋊C4—22no—
557C4⋊C4—22no—
558C4⋊C4—22no—
559C4⋊C4—22no—
560C4⋊C4—22no—
561C4⋊C4—22no—
562C4⋊C4—22no—
563C4⋊C4—22no—
564C4⋊C4—21no—
565C4⋊C4—21no—
566C4⋊C4—21no—
567C4⋊C4—21no—
568C4⋊C4—22no—
569C4⋊C4—22no—
570C4⋊C4C23×C412yes—
571C4⋊C4C23×C412yes—
572C4⋊C4C23×C412yes—
573C4⋊C4C23×C412yes—
574C22⋊C4—22no—
575C22⋊C4—22no—
576C22⋊C4—22no—
577C22⋊C4—22no—
578C22⋊C4—22no—
579C22⋊C4—22no—
580C22⋊C4—22no—
581C22⋊C4—22no—
582C22⋊C4—22no—
583C22⋊C4—22no—
584C22⋊C4—22no—
585C22⋊C4—22no—
586C22⋊C4—22no—
587C22⋊C4—22no—
588C22⋊C4—22no—
589C22⋊C4—22no—
590C42—22no—
591C42—22no—
592C42—22no—
593C42—22no—
594C42—22no—
595C42—22no—
596C42—22no—
597C42—22no—
598C42C4×D411yescharacteristic
599C42C4×D411yescharacteristic
600C42C4×D411yescharacteristic
601C42C4×D411yescharacteristic
602C42C4×D411yescharacteristic
603C42C4×D411yescharacteristic
604C42C23×C411yescharacteristic
605C42C23×C411yescharacteristic
606C42C23×C411yescharacteristic
607C42C22×D411yescharacteristic
608C42C22×D411yescharacteristic
609C42C22×D411yescharacteristic
610C42C2×#4111yescharacteristic
611C42C2×#4111yescharacteristic
612C42C2×#4111yescharacteristic
613C42C2511yescharacteristic
614C23—22no—
615C23—22no—
616C23—41no—
617C23—41no—
618C23—41no—
619C23—42no—
620C23—42no—
621C23—81no—
622C23—81no—
623C23—81no—
624C23—81no—
625C23C2×C4×D411yescharacteristic
626C23C2×C4×D411yescharacteristic
627C23C2×C4×D411yescharacteristic
628Q8—24no—
629Q8—22no—
630Q8—24no—
631Q8—81no—
632Q8#56814yes—
633D4—22no—
634D4—24no—
635D4—22no—
636D4—44no—
637D4—44no—
638D4—42no—
639D4—44no—
640D4—81no—
641D4—82no—
642C2×C4—24no—
643C2×C4—22no—
644C2×C4—21no—
645C2×C4—21no—
646C2×C4—21no—
647C2×C4—21no—
648C2×C4—21no—
649C2×C4—21no—
650C2×C4—22no—
651C2×C4—22no—
652C2×C4—22no—
653C2×C4—22no—
654C2×C4—22no—
655C2×C4—22no—
656C2×C4—22no—
657C2×C4—22no—
658C2×C4—41no—
659C2×C4—41no—
660C2×C4—41no—
661C2×C4—41no—
662C2×C4—41no—
663C2×C4—41no—
664C2×C4—41no—
665C2×C4—41no—
666C2×C4—41no—
667C2×C4—41no—
668C2×C4—41no—
669C2×C4—41no—
670C2×C4—44no—
671C2×C4—44no—
672C2×C4—44no—
673C2×C4—44no—
674C2×C4—42no—
675C2×C4—42no—
676C2×C4—42no—
677C2×C4—42no—
678C2×C4—42no—
679C2×C4—82no—
680C2×C4—82no—
681C2×C4—81no—
682C2×C4—81no—
683C2×C4—81no—
684C2×C4—81no—
685C2×C4C2×C4×D411yescharacteristic
686C2×C4C2×C4×D411yescharacteristic
687C2×C4C2×C4×D411yescharacteristic
688C2×C4C2×C4×D411yescharacteristic
689C2×C4C2×C4×D411yescharacteristic
690C2×C4C2×C4×D411yescharacteristic
691C2×C4C2×C4×D411yescharacteristic
692C2×C4C2×C4×D411yescharacteristic
693C2×C4C2×C4×D411yescharacteristic
694C2×C4C24×C411yescharacteristic
695C2×C4C23×D411yescharacteristic
696C2×C4C22×#4111yescharacteristic
697C8—24no—
698C8—24no—
699C8—24no—
700C8—24no—
701C8—44no—
702C8—44no—
703C8—42no—
704C8—42no—
705C22—21no—
706C22—21no—
707C22—21no—
708C22—21no—
709C22—21no—
710C22—21no—
711C22—21no—
712C22—21no—
713C22—21no—
714C22—42no—
715C22—42no—
716C22—42no—
717C22—42no—
718C22—42no—
719C22—42no—
720C22—82no—
721C22—84no—
722C22—162no—
723C22C22×C4×D411yescharacteristic
724C4—21no—
725C4—21no—
726C4—21no—
727C4—21no—
728C4—21no—
729C4—21no—
730C4—21no—
731C4—24no—
732C4—21no—
733C4—21no—
734C4—21no—
735C4—42no—
736C4—42no—
737C4—42no—
738C4—42no—
739C4—42no—
740C4C2×#56812yes—
741C4#358511yescharacteristic
742C4#358611yescharacteristic
743C2—41no—
744C2—41no—
745C2—41no—
746C2—82no—
747C2—82no—
748C2#6014111yescharacteristic
749C2#6017011yescharacteristic
750C2#6018211yescharacteristic
subgroupG/H
centerC2×C4C23×D4
commutatorC2×C4C24×C4
Frattini, cosocleC42C25
socleC22C22×C4×D4
prime radical#3006C4
LCSG ▷ C2×C4 ▷ C2 ▷ C1
UCSC1 ◁ C2×C4 ◁ #2920 ◁ G
LECSG ▷ C42 ▷ C22 ▷ C1

Complements

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

NH ≅ G/Ntype
2. #60284C2semidirect
3. #60264C2semidirect
4. #18049C2semidirect
5. #18048C2semidirect
6. #18033C2semidirect
7. #18031C2semidirect
8. #17946C2semidirect
9. #17919C2semidirect
10. #17820C2semidirect
11. #17497C2semidirect
12. #17451C2semidirect
13. #17339C2semidirect
29. #2994C22semidirect
34. #2991C22semidirect
35. #2991C22semidirect
36. #2982C22semidirect
38. #2975C22semidirect
41. Q8×M16C22semidirect
45. D4×M16C22semidirect
54. #1594C22semidirect
55. #1592C22semidirect
56. #1590C22semidirect
57. #1589C22semidirect
58. #1588C22semidirect
59. #1588C22semidirect
60. #1587C22semidirect
61. #1586C22semidirect
62. #1584C22semidirect
63. #1583C22semidirect
64. #1583C22semidirect
65. #1581C22semidirect
66. #1579C22semidirect
67. SD16⋊C8C22semidirect
68. C8×Q16C22semidirect
69. C8×SD16C22semidirect
70. #1574C22semidirect
71. #1571C22semidirect
72. #1570C22semidirect
73. #1569C22semidirect
74. #1495C22semidirect
75. #1495C22semidirect
76. #1491C22semidirect
77. #1490C22semidirect
79. #1487C22semidirect
80. #1486C22semidirect
82. #1477C22semidirect
83. #1455C22semidirect
84. #1454C22semidirect
85. #1454C22semidirect

Maximal subgroups

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

subgroupindex
#605632
#602842
#602642
#180492
#180482
#180332
#180312
#179462
#179192
#178202
#174972
#174512
#173392