Finite Group Databasebeta

← #6458263

Subgroups — #6458263

Order 512.

2112 conjugacy classes of subgroups.

The subgroup lattice has 778 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#34183C211yesmaximal, characteristic, complemented
2C4×#535C211yesmaximal, characteristic
3#27688C214yesmaximal, complemented
4#27687C214yesmaximal, complemented
5#27679C212yesmaximal, complemented
6#27679C212yesmaximal, complemented
7#27678C212yesmaximal, complemented
8#27677C212yesmaximal, complemented
9#23748C212yesmaximal, complemented
10#23735C212yesmaximal, complemented
11#21171C211yesmaximal, characteristic, complemented
12#21169C211yesmaximal, characteristic, complemented
13#20914C212yesmaximal
14#20849C212yesmaximal, complemented
15#20646C211yesmaximal, characteristic, complemented
16C2×#1802C211yesmaximal, characteristic, complemented
17#20629C211yesmaximal, characteristic, complemented
18C2×#535C2211yescharacteristic
19C2×#520C2212yes—
20C2×C4×#41C2211yescharacteristic
21C22×C4×D4C2211yescharacteristic
22C2×#428C2212yes—
23C2×#427C2212yes—
24C2×#423C2211yescharacteristic
25C22×C4⋊C8C2211yescharacteristic
26C2×#418C2212yes—
27C22×#102C2212yes—
28C2×#408C2212yes—
29Q8×C4⋊C4—21no—
30Q8×C4⋊C4—21no—
31D4×C4⋊C4—22no—
32D4×C4⋊C4—22no—
33D4×C4⋊C4—21no—
34D4×C4⋊C4—21no—
35#2328—21no—
36#2326—21no—
37#2324C2212yes—
38#2324C2212yes—
39#2321—22no—
40#2317C2211yescharacteristic
41#2317C2212yes—
42#2317C2214yescomplemented
43#2311C2211yescharacteristic
44#2309C2211yescharacteristic
45C4×#127—21no—
46C4×#124—21no—
47C4×#121C2212yes—
48C4×#121C2212yes—
49C4×#120—22no—
50#2285C2211yescharacteristic
51#2285C2212yescomplemented
52C2×#384C2211yescharacteristic
53C2×#384C2212yescomplemented
54C4×#117C2211yescharacteristic
55#2101C2214yescomplemented
56#2101C2214yescomplemented
57#2100C2214yescomplemented
58#2099C2214yescomplemented
59#2094C2214yes—
60#2093C2214yes—
61#2092C2214yes—
62#2092C2214yes—
63#1949C2212yescomplemented
64#1949C2212yescomplemented
65#1948C2211yescharacteristic, complemented
66#1948C2212yescomplemented
67#1948C2211yescharacteristic, complemented
68#1948C2212yescomplemented
69#1947C2211yescharacteristic, complemented
70#1947C2212yescomplemented
71#1947C2211yescharacteristic, complemented
72#1947C2212yescomplemented
73#1875C2214yes—
74#1875C2214yes—
75#1874C2214yes—
76#1874C2214yes—
77#1854C2214yescomplemented
78#1854C2214yescomplemented
79#1853C2214yescomplemented
80#1852C2214yescomplemented
81#1804C2214yes—
82#1802C2212yes—
83#1802C2212yes—
84#1802C2212yes—
85#1802C2212yes—
86#1802C2214yes—
87#1798C2214yescomplemented
88#1797C2212yescomplemented
89#1797C2212yescomplemented
90#1736C2212yes—
91#1736C2212yes—
92#1735C2212yes—
93C2×#340C2212yes—
94#1729C2212yes—
95C22×#41C2311yescharacteristic
96C23×D4C2311yescharacteristic
97C24×C4—21no—
98C22×M16C2312yes—
99C23×C8C2312yes—
100#535—24no—
101#535Q818yes—
102C2×#127—21no—
103C2×#124—21no—
104C2×#121C2312yes—
105C2×#121C2312yes—
106C2×#120—22no—
107#520—44no—
108#520—44no—
109C4×#41—24no—
110C4×#41—24no—
111C2×C4×Q8—22no—
112C2×C4×Q8D411yescharacteristic
113C2×C4×Q8D411yescharacteristic
114C2×C4×D4—24no—
115C2×C4×D4—22no—
116C2×C4×D4—22no—
117C2×C4×D4—22no—
118C2×C4×D4—21no—
119C2×C4×D4—21no—
120C2×C4×D4—24no—
121C2×C4×D4—24no—
122C2×C4×D4D411yescharacteristic
123C2×C4×D4D412yes—
124C2×C4×D4D411yescharacteristic
125C2×C4×D4D412yes—
126C2×C4×D4C2312yes—
127C2×C4×D4C2312yes—
128C2×#117C2311yescharacteristic
129C2×#117C2312yes—
130C2×#117C2311yescharacteristic
131C2×#117C2314yes—
132C2×#117C2311yescharacteristic
133C2×#117C2312yes—
134C22×C4⋊C4—21no—
135C22×C4⋊C4—21no—
136C22×C4⋊C4—22no—
137C22×C4⋊C4—22no—
138C22×C4⋊C4C2311yescharacteristic
139C22×C4⋊C4C2312yes—
140C22×C4⋊C4C2314yes—
141C22×C22⋊C4—21no—
142C22×C42C2312yes—
143C22×C42C2311yescharacteristic
144#428—44no—
145#427—44no—
146C2×#107C2312yes—
147C2×#107C2314yes—
148C2×#107C2312yes—
149C2×#106C2312yes—
150C2×#106C2314yes—
151C2×#106C2312yes—
152#423—24no—
153C2×C4⋊C8—24no—
154C2×C4⋊C8C2311yescharacteristic
155C2×C4⋊C8C2311yescharacteristic
156C2×C4⋊C8C2312yes—
157C2×C4⋊C8C2312yes—
158C2×C4⋊C8C2312yes—
159#418—44no—
160C2×#102—44no—
161C2×#102C2314yes—
162C2×#102C2314yes—
163C2×#102C2314yes—
164C2×#102C2314yes—
165#408—28no—
166C2×C22⋊C8C2314yes—
167C2×C22⋊C8C2314yes—
168#391—21no—
169#390—21no—
170#390—21no—
171#390—21no—
172#390—22no—
173#390—22no—
174#390C2312yes—
175#390C2312yes—
176#389—22no—
177#389—22no—
178#389—24no—
179#389—24no—
180#389C2312yes—
181#389C2312yes—
182#388—22no—
183#388—22no—
184#388—22no—
185#388—22no—
186#386—22no—
187#386—22no—
188#386—22no—
189#386—22no—
190#386—22no—
191#385—22no—
192#385—22no—
193#385—22no—
194#385—24no—
195#385—24no—
196#385—24no—
197#384—21no—
198#384—21no—
199#384—21no—
200#384—22no—
201#384—22no—
202#384C2312yes—
203#384C2312yes—
204#384C2311yescharacteristic
205#384C2311yescharacteristic
206#384C2314yes—
207#382—21no—
208#382C2312yes—
209#382C2314yes—
210#380—21no—
211#380—21no—
212#380—22no—
213#380—22no—
214#380C2312yes—
215#380C2312yes—
216#379—22no—
217C4×C4⋊C4—21no—
218C4×C4⋊C4—21no—
219C4×C4⋊C4—22no—
220C4×C4⋊C4—22no—
221C4×C4⋊C4C2311yescharacteristic
222C4×C4⋊C4C2311yescharacteristic
223C4×C4⋊C4C2311yescharacteristic
224C4×C4⋊C4C2311yescharacteristic
225C4×C22⋊C4—21no—
226C4×C22⋊C4—21no—
227C4×C22⋊C4—22no—
228C4×C22⋊C4—22no—
229#376—21no—
230C43—21no—
231#340C2314yes—
232#340C2314yes—
233#340C2314yes—
234#340C2314yes—
235#340C2312yes—
236#340C2314yes—
237#340C2312yes—
238#340C2314yes—
239#340C2312yes—
240#340C2312yes—
241#336C2314yes—
242#336C2314yes—
243C25—21no—
244C2×#41—22no—
245C2×#41—22no—
246C2×#41—22no—
247C2×#41—22no—
248C2×#41C2×Q814yes—
249C2×#41#4114yes—
250C22×Q8C2×D411yescharacteristic
251C22×D4—22no—
252C22×D4—22no—
253C22×D4—21no—
254C22×D4—22no—
255C22×D4—22no—
256C22×D4—22no—
257C22×D4—22no—
258C22×D4—22no—
259C22×D4C2×D412yes—
260C22×D4C2×D411yescharacteristic
261C22×D4C2×Q814yes—
262C22×D4C2412yes—
263C23×C4—21no—
264C23×C4—24no—
265C23×C4—22no—
266C23×C4—22no—
267C23×C4—22no—
268C23×C4—44no—
269C23×C4—82no—
270C23×C4—82no—
271C23×C4C2×D412yes—
272C23×C4C2×D411yescharacteristic
273C23×C4C2×D412yes—
274C23×C4C2×D411yescharacteristic
275C23×C4C2412yes—
276C23×C4C2411yescharacteristic
277C2×M16—24no—
278C2×M16—24no—
279C2×M16—24no—
280C22×C8—24no—
281C22×C8—24no—
282C22×C8—24no—
283C22×C8C2412yes—
284C22×C8C2412yes—
285C22×C8C2414yes—
286#127—28no—
287#124—28no—
288#121—24no—
289#121—24no—
290#121C2×Q818yes—
291#121C2×Q818yes—
292#120—216no—
293C4×Q8—24no—
294C4×Q8—24no—
295C4×Q8—48no—
296C4×D4—28no—
297C4×D4—28no—
298C4×D4—24no—
299C4×D4—24no—
300C4×D4—24no—
301C4×D4—24no—
302C4×D4—24no—
303C4×D4—24no—
304C4×D4—416no—
305C4×D4—48no—
306C4×D4—44no—
307C4×D4—44no—
308C4×D4—84no—
309C4×D4—84no—
310#117—22no—
311#117—22no—
312#117—22no—
313#117—24no—
314#117—24no—
315#117—24no—
316#117—24no—
317#117—22no—
318#117—22no—
319#117—44no—
320#117—44no—
321#117C2×Q814yes—
322C2×C4⋊C4—22no—
323C2×C4⋊C4—22no—
324C2×C4⋊C4—24no—
325C2×C4⋊C4—24no—
326C2×C4⋊C4—22no—
327C2×C4⋊C4—21no—
328C2×C4⋊C4—22no—
329C2×C4⋊C4—21no—
330C2×C4⋊C4—21no—
331C2×C4⋊C4—24no—
332C2×C4⋊C4—22no—
333C2×C4⋊C4—21no—
334C2×C4⋊C4—21no—
335C2×C4⋊C4—24no—
336C2×C4⋊C4—24no—
337C2×C4⋊C4—22no—
338C2×C4⋊C4—22no—
339C2×C4⋊C4—22no—
340C2×C4⋊C4—22no—
341C2×C4⋊C4—44no—
342C2×C4⋊C4—44no—
343C2×C4⋊C4—82no—
344C2×C4⋊C4—84no—
345C2×C4⋊C4—82no—
346C2×C4⋊C4—84no—
347C2×C4⋊C4C2×D411yescharacteristic
348C2×C4⋊C4C2×D411yescharacteristic
349C2×C4⋊C4C2×D412yes—
350C2×C4⋊C4C2×D412yes—
351C2×C4⋊C4C2414yes—
352C2×C4⋊C4C2412yes—
353C2×C4⋊C4C2412yes—
354C2×C4⋊C4C2412yes—
355C2×C4⋊C4C2411yescharacteristic
356C2×C4⋊C4C2411yescharacteristic
357C2×C4⋊C4C2411yescharacteristic
358C2×C4⋊C4C2411yescharacteristic
359C2×C22⋊C4—21no—
360C2×C22⋊C4—22no—
361C2×C22⋊C4—22no—
362C2×C22⋊C4—24no—
363C2×C22⋊C4—22no—
364C2×C22⋊C4—21no—
365C2×C22⋊C4—22no—
366C2×C22⋊C4—22no—
367C2×C22⋊C4—22no—
368C2×C22⋊C4—22no—
369C2×C22⋊C4—22no—
370C2×C22⋊C4—22no—
371C2×C22⋊C4—22no—
372C2×C22⋊C4—22no—
373C2×C22⋊C4—44no—
374C2×C22⋊C4C2×D412yes—
375C2×C22⋊C4C2×D412yes—
376C2×C22⋊C4C2×D412yes—
377C2×C42—21no—
378C2×C42—24no—
379C2×C42—24no—
380C2×C42—24no—
381C2×C42—22no—
382C2×C42—21no—
383C2×C42—21no—
384C2×C42—21no—
385C2×C42—21no—
386C2×C42—21no—
387C2×C42C2×D412yes—
388C2×C42C2×D412yes—
389C2×C42C2×D411yescharacteristic
390C2×C42C2×D411yescharacteristic
391C2×C42#4114yes—
392C2×C42#4114yes—
393C2×C42C2412yes—
394C2×C42C2411yescharacteristic
395C2×C42C2411yescharacteristic
396#107—42no—
397#107—42no—
398#107—44no—
399#106—42no—
400#106—42no—
401#106—44no—
402C4⋊C8—22no—
403C4⋊C8—22no—
404C4⋊C8—24no—
405C4⋊C8—24no—
406C4⋊C8—24no—
407#102—44no—
408#102—44no—
409#102—44no—
410#102—44no—
411C22⋊C8—28no—
412C22⋊C8—28no—
413#95—21no—
414#95—21no—
415#95—21no—
416#95—21no—
417#95—22no—
418#95—22no—
419#95—22no—
420#95—22no—
421#95—24no—
422#95—24no—
423#95—22no—
424#95—22no—
425C24—22no—
426C24—24no—
427C24—42no—
428C24—42no—
429C24—81no—
430C24—81no—
431C24—81no—
432C24—81no—
433C24C22×D412yes—
434C24C22×D411yescharacteristic
435#41—28no—
436#41—28no—
437#41—28no—
438#41—28no—
439C2×Q8—22no—
440C2×Q8—22no—
441C2×Q8C22⋊Q814yes—
442C2×D4—24no—
443C2×D4—24no—
444C2×D4—28no—
445C2×D4—28no—
446C2×D4—24no—
447C2×D4—22no—
448C2×D4—22no—
449C2×D4—28no—
450C2×D4—28no—
451C2×D4—22no—
452C2×D4—22no—
453C2×D4—22no—
454C2×D4—22no—
455C2×D4—22no—
456C2×D4—42no—
457C2×D4—42no—
458C2×D4—44no—
459C2×D4—44no—
460C2×D4—82no—
461C2×D4—82no—
462C2×D4—82no—
463C2×D4—82no—
464C2×D4C22⋊Q818yes—
465C2×D4C22⋊Q814yes—
466C2×D4C22×Q814yes—
467C22×C4—22no—
468C22×C4—22no—
469C22×C4—22no—
470C22×C4—22no—
471C22×C4—22no—
472C22×C4—22no—
473C22×C4—21no—
474C22×C4—21no—
475C22×C4—24no—
476C22×C4—24no—
477C22×C4—24no—
478C22×C4—24no—
479C22×C4—22no—
480C22×C4—21no—
481C22×C4—21no—
482C22×C4—22no—
483C22×C4—24no—
484C22×C4—22no—
485C22×C4—41no—
486C22×C4—42no—
487C22×C4—41no—
488C22×C4—42no—
489C22×C4—42no—
490C22×C4—48no—
491C22×C4—44no—
492C22×C4—44no—
493C22×C4—44no—
494C22×C4—44no—
495C22×C4—44no—
496C22×C4—82no—
497C22×C4—82no—
498C22×C4—816no—
499C22×C4—81no—
500C22×C4—81no—
501C22×C4—82no—
502C22×C4—84no—
503C22×C4—82no—
504C22×C4—84no—
505C22×C4#12314yes—
506C22×C4#12314yes—
507C22×C4C22×D412yes—
508C22×C4C22×D412yes—
509C22×C4C22×D412yes—
510C22×C4C22×D411yescharacteristic
511C22×C4C22×D411yescharacteristic
512C22×C4C22×D411yescharacteristic
513C22×C4C22×D411yescharacteristic
514C22×C4C22×D411yescharacteristic
515C22×C4C22×Q814yes—
516C22×C4C22×Q812yes—
517C22×C4C2×#4114yes—
518C22×C4C2×#4112yes—
519C22×C4C2×#4112yes—
520C22×C4C2×#4112yes—
521C22×C4H(5,𝔽2)12yes—
522C22×C4H(5,𝔽2)12yes—
523C22×C4C2511yescharacteristic
524M16—48no—
525C2×C8—22no—
526C2×C8—22no—
527C2×C8—24no—
528C2×C8—22no—
529C2×C8—22no—
530C2×C8—24no—
531C2×C8—22no—
532C2×C8—24no—
533C2×C8—22no—
534C2×C8—48no—
535C4⋊C4—24no—
536C4⋊C4—24no—
537C4⋊C4—22no—
538C4⋊C4—22no—
539C4⋊C4—21no—
540C4⋊C4—21no—
541C4⋊C4—22no—
542C4⋊C4—22no—
543C4⋊C4—24no—
544C4⋊C4—22no—
545C4⋊C4—22no—
546C4⋊C4—21no—
547C4⋊C4—21no—
548C4⋊C4—21no—
549C4⋊C4—24no—
550C4⋊C4—22no—
551C4⋊C4—22no—
552C4⋊C4—21no—
553C4⋊C4—42no—
554C4⋊C4—48no—
555C4⋊C4—44no—
556C4⋊C4—42no—
557C4⋊C4—42no—
558C4⋊C4—44no—
559C4⋊C4—44no—
560C4⋊C4—42no—
561C4⋊C4—42no—
562C4⋊C4—82no—
563C4⋊C4—82no—
564C4⋊C4—84no—
565C4⋊C4—84no—
566C4⋊C4—82no—
567C4⋊C4—82no—
568C4⋊C4C22×Q812yes—
569C4⋊C4C22×Q812yes—
570C22⋊C4—24no—
571C22⋊C4—24no—
572C22⋊C4—28no—
573C22⋊C4—28no—
574C22⋊C4—24no—
575C22⋊C4—24no—
576C22⋊C4—48no—
577C22⋊C4—42no—
578C22⋊C4—44no—
579C22⋊C4—44no—
580C22⋊C4—44no—
581C22⋊C4—82no—
582C22⋊C4—82no—
583C22⋊C4—82no—
584C22⋊C4—82no—
585C22⋊C4—82no—
586C22⋊C4—82no—
587C42—24no—
588C42—24no—
589C42—24no—
590C42—22no—
591C42—22no—
592C42—48no—
593C42—42no—
594C42—44no—
595C42—42no—
596C42—42no—
597C42—81no—
598C42—81no—
599C42#12314yes—
600C42#12314yes—
601C42C2×#4112yes—
602C42C2×#4112yes—
603C42C2×#4112yes—
604C42C2×#4112yes—
605C23—21no—
606C23—21no—
607C23—21no—
608C23—21no—
609C23—22no—
610C23—22no—
611C23—22no—
612C23—22no—
613C23—22no—
614C23—22no—
615C23—24no—
616C23—42no—
617C23—42no—
618C23—42no—
619C23—42no—
620C23—48no—
621C23—42no—
622C23—42no—
623C23—84no—
624C23—84no—
625C23—84no—
626C23—84no—
627C23—84no—
628C23—84no—
629C23C2×C22⋊Q814yes—
630C23C2×C22⋊Q812yes—
631C23C2×#12312yes—
632C23#53512yes—
633C23C23×D411yescharacteristic
634Q8—28no—
635D4—216no—
636D4—24no—
637D4—24no—
638D4—28no—
639D4—42no—
640D4—42no—
641D4—48no—
642D4—88no—
643D4—88no—
644C2×C4—21no—
645C2×C4—21no—
646C2×C4—21no—
647C2×C4—21no—
648C2×C4—22no—
649C2×C4—22no—
650C2×C4—21no—
651C2×C4—21no—
652C2×C4—28no—
653C2×C4—24no—
654C2×C4—24no—
655C2×C4—24no—
656C2×C4—24no—
657C2×C4—22no—
658C2×C4—22no—
659C2×C4—22no—
660C2×C4—22no—
661C2×C4—22no—
662C2×C4—22no—
663C2×C4—22no—
664C2×C4—22no—
665C2×C4—44no—
666C2×C4—48no—
667C2×C4—41no—
668C2×C4—41no—
669C2×C4—41no—
670C2×C4—41no—
671C2×C4—48no—
672C2×C4—41no—
673C2×C4—44no—
674C2×C4—42no—
675C2×C4—41no—
676C2×C4—42no—
677C2×C4—42no—
678C2×C4—42no—
679C2×C4—44no—
680C2×C4—42no—
681C2×C4—41no—
682C2×C4—41no—
683C2×C4—41no—
684C2×C4—42no—
685C2×C4—44no—
686C2×C4—42no—
687C2×C4—41no—
688C2×C4—42no—
689C2×C4—42no—
690C2×C4—88no—
691C2×C4—84no—
692C2×C4—88no—
693C2×C4—164no—
694C2×C4—168no—
695C2×C4C2×C22⋊Q814yes—
696C2×C4C2×C22⋊Q812yes—
697C2×C4C2×#12312yes—
698C2×C4C2×#12312yes—
699C2×C4C2×#12312yes—
700C2×C4C2×#12312yes—
701C2×C4C2×#12312yes—
702C2×C4#53512yes—
703C2×C4#55314yes—
704C2×C4#55314yes—
705C2×C4#55414yes—
706C2×C4#55414yes—
707C2×C4#57612yes—
708C2×C4#57712yes—
709C2×C4C23×Q811yescharacteristic
710C2×C4C22×#4111yescharacteristic
711C2×C4C22×#4111yescharacteristic
712C2×C4C22×#4111yescharacteristic
713C2×C4C2×H(5,𝔽2)11yescharacteristic
714C2×C4C2×H(5,𝔽2)11yescharacteristic
715C8—42no—
716C8—42no—
717C8—44no—
718C22—22no—
719C22—22no—
720C22—22no—
721C22—22no—
722C22—22no—
723C22—22no—
724C22—24no—
725C22—24no—
726C22—24no—
727C22—42no—
728C22—42no—
729C22—42no—
730C22—42no—
731C22—44no—
732C22—44no—
733C22—44no—
734C22—816no—
735C22—82no—
736C22—82no—
737C22—82no—
738C22—82no—
739C22#248714yes—
740C22C22×C22⋊Q811yescharacteristic
741C22C22×#12311yescharacteristic
742C22C2×#53511yescharacteristic
743C22C2×#57611yescharacteristic
744C22C2×#57711yescharacteristic
745C22#358511yescharacteristic
746C22#358611yescharacteristic
747C4—22no—
748C4—22no—
749C4—22no—
750C4—24no—
751C4—42no—
752C4—42no—
753C4—42no—
754C4—42no—
755C4—82no—
756C4—81no—
757C4—84no—
758C4—82no—
759C4—81no—
760C4—82no—
761C4#248714yes—
762C4#309614yes—
763C4C2×#55311yescharacteristic
764C4C2×#55311yescharacteristic
765C4C2×#55411yescharacteristic
766C4C2×#55411yescharacteristic
767C2—24no—
768C2—44no—
769C2—84no—
770C2C2×#248711yescharacteristic
771C2#6049411yescharacteristic
772C2#6049511yescharacteristic
773C2C2×#309611yescharacteristic
774C2#6051711yescharacteristic
775C2#6083211yescharacteristic
776C2#6083611yescharacteristic
subgroupG/H
center, socleC23C23×D4
commutator, Frattini, cosocleC22×C4C25
prime radicalC2×#535C22
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C23 ◁ C2×C4×#41 ◁ G
LECSG ▷ C22×C4 ▷ C2 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #34183C2semidirect
3. #27688C2semidirect
4. #27687C2semidirect
5. #27679C2semidirect
6. #27679C2semidirect
7. #27678C2semidirect
8. #27677C2semidirect
9. #23748C2semidirect
10. #23735C2semidirect
11. #21171C2semidirect
12. #21169C2semidirect
14. #20849C2semidirect
15. #20646C2semidirect
16. C2×#1802C2semidirect
17. #20629C2semidirect
42. #2317C22semidirect
51. #2285C22semidirect
53. C2×#384C22semidirect
55. #2101C22semidirect
56. #2101C22semidirect
57. #2100C22semidirect
58. #2099C22semidirect
63. #1949C22semidirect
64. #1949C22semidirect
65. #1948C22semidirect
66. #1948C22semidirect
67. #1948C22semidirect
68. #1948C22semidirect
69. #1947C22semidirect
70. #1947C22semidirect
71. #1947C22semidirect
72. #1947C22semidirect
77. #1854C22semidirect
78. #1854C22semidirect
79. #1853C22semidirect
80. #1852C22semidirect
87. #1798C22semidirect
88. #1797C22semidirect
89. #1797C22semidirect

Maximal subgroups

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

subgroupindex
#341832
C4×#5352
#276882
#276872
#276792
#276782
#276772
#237482
#237352
#211712
#211692
#209142
#208492
#206462
C2×#18022
#206292