Finite Group Databasebeta

← #6501944

Subgroups — #6501944

Order 512.

2282 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
1C2×#2422C211yesmaximal, characteristic, complemented
2#34205C211yesmaximal, characteristic, complemented
3#28114C212yesmaximal, complemented
4#27678C212yesmaximal, complemented
5#27601C211yesmaximal, characteristic, complemented
6#27179C214yesmaximal, complemented
7#26673C214yesmaximal, complemented
8#26563C214yesmaximal, complemented
9#24913C214yesmaximal, complemented
10#24005C211yesmaximal, characteristic, complemented
11#24002C211yesmaximal, characteristic, complemented
12#23918C211yesmaximal, characteristic
13#22081C212yesmaximal, complemented
14#21906C211yesmaximal, characteristic, complemented
15#21452C212yesmaximal, complemented
16C22×#123—21no—
17C22×#121C2211yescharacteristic
18C22×#121C2211yescharacteristic
19C2×#518—21no—
20C22×C4×D4C2211yescharacteristic, complemented
21C2×#481C2212yescomplemented
22C2×#480C2212yes—
23C2×#447C2212yes—
24C2×#447C2212yes—
25C2×#442C2214yescomplemented
26#2422—22no—
27#2422—22no—
28#2422C2214yes—
29#2422C2214yescomplemented
30C2×#397—21no—
31C2×#394—21no—
32#2364—22no—
33#2361C2212yescomplemented
34#2361C2212yescomplemented
35#2344C2212yescomplemented
36#2342—22no—
37D4×C22⋊C4C2212yescomplemented
38#2325—21no—
39#2325—21no—
40#2308—21no—
41C4×#121C2212yes—
42C4×#121C2212yes—
43C2×#390C2211yescharacteristic, complemented
44C2×#389C2211yescharacteristic, complemented
45C2×#385—21no—
46C2×#384C2211yescharacteristic, complemented
47C2×#380C2211yescharacteristic
48C2×#380C2211yescharacteristic
49C2×C4×C22⋊C4C2211yescharacteristic
50#2100C2214yescomplemented
51#2094C2214yescomplemented
52#2077C2214yescomplemented
53#2067C2214yescomplemented
54#2054C2214yescomplemented
55#2034C2214yes—
56#2033C2214yescomplemented
57#1999C2214yes—
58#1948C2214yescomplemented
59#1943C2214yescomplemented
60#1936C2214yescomplemented
61#1925C2214yescomplemented
62#1924C2214yescomplemented
63#1924C2214yescomplemented
64#1921C2214yescomplemented
65#1879C2214yescomplemented
66#1879C2214yescomplemented
67#1874C2212yes—
68#1874C2212yes—
69#1874C2212yes—
70#1874C2212yescomplemented
71#1864C2214yescomplemented
72#1864C2214yescomplemented
73#1853C2212yescomplemented
74#1853C2212yescomplemented
75#1853C2212yescomplemented
76#1852C2212yescomplemented
77#1824C2212yescomplemented
78#1823C2212yescomplemented
79#1802C2214yescomplemented
80#1797C2212yescomplemented
81#1786C2212yescomplemented
82#1786C2212yescomplemented
83#1779C2211yescharacteristic
84#1779C2211yescharacteristic
85#1762C2214yescomplemented
86#1749C2212yescomplemented
87C23×D4—21no—
88C23×D4—21no—
89C23×D4C2311yescharacteristic
90C23×D4C2311yescharacteristic
91C24×C4—21no—
92C24×C4C2311yescharacteristic
93C22×D8C2314yes—
94C2×#123—24no—
95C2×#123—24no—
96C2×#123—48no—
97C2×#121—21no—
98C2×#121—21no—
99C2×#121—28no—
100C2×#121—21no—
101C2×#121—21no—
102C2×#121—44no—
103C2×#121C2312yes—
104C2×#121C2312yes—
105C2×#121C2312yes—
106C2×#121C2312yes—
107#518—48no—
108C2×C4×D4—22no—
109C2×C4×D4—22no—
110C2×C4×D4—22no—
111C2×C4×D4—22no—
112C2×C4×D4—22no—
113C2×C4×D4—44no—
114C2×C4×D4C2314yes—
115C2×C4×D4C2312yes—
116C2×C4×D4C2312yes—
117C2×#117—22no—
118C22×C4⋊C4—21no—
119C22×C4⋊C4—21no—
120C22×C4⋊C4—21no—
121C22×C4⋊C4C2311yescharacteristic
122C22×C4⋊C4C2311yescharacteristic
123C22×C4⋊C4C2311yescharacteristic
124C22×C4⋊C4C2311yescharacteristic
125C22×C4⋊C4C2311yescharacteristic
126C22×C4⋊C4C2311yescharacteristic
127C22×C22⋊C4—21no—
128C22×C22⋊C4—21no—
129C22×C22⋊C4—21no—
130C22×C22⋊C4—21no—
131C22×C22⋊C4—21no—
132C22×C22⋊C4—21no—
133C22×C22⋊C4—21no—
134C22×C22⋊C4—22no—
135C22×C22⋊C4D411yescharacteristic
136C22×C22⋊C4D411yescharacteristic
137C22×C42C2311yescharacteristic
138C22×C42C2311yescharacteristic
139#481—44no—
140#480—28no—
141#447—28no—
142#447—44no—
143#442—48no—
144C2×#107C2314yes—
145C2×#106C2314yes—
146C2×#106C2314yes—
147C2×C4⋊C8C2314yes—
148C2×#102C2314yes—
149C2×#102C2314yes—
150C2×#102C2314yes—
151C2×#102C2314yes—
152C2×#102C2314yes—
153C2×#102C2314yes—
154C2×C22⋊C8C2312yes—
155C2×C22⋊C8C2312yes—
156C2×C22⋊C8C2312yes—
157C2×C22⋊C8C2312yes—
158C2×C22⋊C8C2312yes—
159C2×C22⋊C8C2312yes—
160C2×#97C2314yes—
161#397—24no—
162#397—24no—
163#394—24no—
164#394—24no—
165#390—22no—
166#390C2312yes—
167#390C2314yes—
168#390C2312yes—
169#389—22no—
170#389C2312yes—
171#389C2312yes—
172#389C2314yes—
173#388—22no—
174#388—22no—
175#388—22no—
176#388—22no—
177#387—22no—
178#387—22no—
179#386—22no—
180#386—22no—
181#386—22no—
182#386—22no—
183#386—22no—
184#386—22no—
185#385—22no—
186#385—22no—
187#385—24no—
188#385—24no—
189#384—22no—
190#384C2314yes—
191#381—22no—
192#380—21no—
193#380—21no—
194#380—21no—
195#380—21no—
196#380C2312yes—
197#380C2312yes—
198#380C2312yes—
199#380C2312yes—
200#379—22no—
201C4×C4⋊C4C2312yes—
202C4×C4⋊C4C2312yes—
203C4×C22⋊C4—22no—
204C4×C22⋊C4—22no—
205C4×C22⋊C4D412yes—
206C4×C22⋊C4D412yes—
207C4×C22⋊C4C2312yes—
208C4×C22⋊C4C2312yes—
209C2×#95—21no—
210C2×#95—21no—
211C2×#95—21no—
212C2×#95D411yescharacteristic
213C2×#95D411yescharacteristic
214#340C2314yes—
215#340C2314yes—
216#340C2314yes—
217#340C2314yes—
218#340C2314yes—
219#340C2314yes—
220#336C2314yes—
221#336C2314yes—
222C25—21no—
223C25—21no—
224C25C2×D411yescharacteristic
225C22×D4—28no—
226C22×D4—22no—
227C22×D4—22no—
228C22×D4—24no—
229C22×D4—24no—
230C22×D4—22no—
231C22×D4—22no—
232C22×D4—21no—
233C22×D4—21no—
234C22×D4—24no—
235C22×D4—42no—
236C22×D4—42no—
237C22×D4—42no—
238C22×D4—44no—
239C22×D4—44no—
240C22×D4—44no—
241C22×D4—44no—
242C22×D4—82no—
243C22×D4C2412yes—
244C22×D4C2412yes—
245C23×C4—21no—
246C23×C4—24no—
247C23×C4—21no—
248C23×C4—21no—
249C23×C4—21no—
250C23×C4—21no—
251C23×C4—21no—
252C23×C4—24no—
253C23×C4—22no—
254C23×C4—22no—
255C23×C4—42no—
256C23×C4—42no—
257C23×C4—44no—
258C23×C4—44no—
259C23×C4—82no—
260C23×C4C2×D411yescharacteristic
261C23×C4C2×D411yescharacteristic
262C23×C4C2×D411yescharacteristic
263C23×C4C2×D411yescharacteristic
264C23×C4C2×D411yescharacteristic
265C23×C4C2×D411yescharacteristic
266C23×C4C2×D411yescharacteristic
267C23×C4C2411yescharacteristic
268C23×C4C2411yescharacteristic
269C23×C4C2411yescharacteristic
270C2×D8—28no—
271C2×D8—28no—
272C2×D8—44no—
273C22×C8C2414yes—
274C22×C8C2414yes—
275#123—416no—
276#123—416no—
277#121—28no—
278#121—28no—
279#121—24no—
280#121—24no—
281#121—24no—
282#121—24no—
283#121—24no—
284#121—42no—
285#121—42no—
286#121—44no—
287#121—44no—
288#121#4118yes—
289C4×D4—28no—
290C4×D4—44no—
291C4×D4—44no—
292C4×D4—44no—
293C4×D4—48no—
294C4×D4—48no—
295C4×D4—48no—
296C4×D4—48no—
297C4×D4—48no—
298#117—48no—
299C2×C4⋊C4—21no—
300C2×C4⋊C4—24no—
301C2×C4⋊C4—24no—
302C2×C4⋊C4—24no—
303C2×C4⋊C4—24no—
304C2×C4⋊C4—21no—
305C2×C4⋊C4—21no—
306C2×C4⋊C4—21no—
307C2×C4⋊C4—22no—
308C2×C4⋊C4—22no—
309C2×C4⋊C4—24no—
310C2×C4⋊C4—21no—
311C2×C4⋊C4—21no—
312C2×C4⋊C4—42no—
313C2×C4⋊C4—42no—
314C2×C4⋊C4—42no—
315C2×C4⋊C4—42no—
316C2×C4⋊C4—44no—
317C2×C4⋊C4—44no—
318C2×C4⋊C4—82no—
319C2×C4⋊C4C2412yes—
320C2×C4⋊C4C2412yes—
321C2×C4⋊C4C2412yes—
322C2×C4⋊C4C2412yes—
323C2×C4⋊C4C2412yes—
324C2×C4⋊C4C2412yes—
325C2×C22⋊C4—28no—
326C2×C22⋊C4—24no—
327C2×C22⋊C4—24no—
328C2×C22⋊C4—22no—
329C2×C22⋊C4—22no—
330C2×C22⋊C4—22no—
331C2×C22⋊C4—22no—
332C2×C22⋊C4—22no—
333C2×C22⋊C4—22no—
334C2×C22⋊C4—22no—
335C2×C22⋊C4—22no—
336C2×C22⋊C4—24no—
337C2×C22⋊C4—22no—
338C2×C22⋊C4—22no—
339C2×C22⋊C4—24no—
340C2×C22⋊C4—24no—
341C2×C22⋊C4—22no—
342C2×C22⋊C4—22no—
343C2×C22⋊C4—22no—
344C2×C22⋊C4—22no—
345C2×C22⋊C4—48no—
346C2×C22⋊C4—44no—
347C2×C22⋊C4—44no—
348C2×C22⋊C4—44no—
349C2×C22⋊C4—44no—
350C2×C22⋊C4—44no—
351C2×C22⋊C4—44no—
352C2×C22⋊C4C2×D412yes—
353C2×C22⋊C4C2×D412yes—
354C2×C22⋊C4C2×D412yes—
355C2×C22⋊C4C2×D412yes—
356C2×C42—22no—
357C2×C42—22no—
358C2×C42—42no—
359C2×C42—42no—
360C2×C42C2×D412yes—
361C2×C42C2×D412yes—
362C2×C42C2412yes—
363C2×C42C2412yes—
364#107—28no—
365#106—44no—
366#106—44no—
367C4⋊C8—44no—
368#102—28no—
369#102—28no—
370#102—28no—
371#102—44no—
372#102—44no—
373#102—44no—
374C22⋊C8—24no—
375C22⋊C8—24no—
376C22⋊C8—42no—
377C22⋊C8—42no—
378C22⋊C8—42no—
379C22⋊C8—42no—
380#97—44no—
381#95—22no—
382#95—22no—
383#95—22no—
384#95—22no—
385#95—24no—
386#95—22no—
387#95—22no—
388#95—22no—
389#95—22no—
390#95C2×D412yes—
391#95C2×D412yes—
392#95C2×D412yes—
393#95C2×D412yes—
394C24—22no—
395C24—22no—
396C24—24no—
397C24—24no—
398C24—22no—
399C24—22no—
400C24—41no—
401C24—41no—
402C24—41no—
403C24—41no—
404C24—42no—
405C24—42no—
406C24—42no—
407C24—42no—
408C24—42no—
409C24—42no—
410C24—42no—
411C24—42no—
412C24—81no—
413C24—81no—
414C24—81no—
415C24—81no—
416C24AGL(1,ℤ/8)14yes—
417C24C22×D411yescharacteristic
418C24C22×D411yescharacteristic
419C24C22×D411yescharacteristic
420C2×D4—24no—
421C2×D4—28no—
422C2×D4—28no—
423C2×D4—24no—
424C2×D4—24no—
425C2×D4—22no—
426C2×D4—24no—
427C2×D4—22no—
428C2×D4—24no—
429C2×D4—24no—
430C2×D4—416no—
431C2×D4—42no—
432C2×D4—44no—
433C2×D4—432no—
434C2×D4—44no—
435C2×D4—44no—
436C2×D4—44no—
437C2×D4—44no—
438C2×D4—44no—
439C2×D4—44no—
440C2×D4—44no—
441C2×D4—42no—
442C2×D4—81no—
443C2×D4—81no—
444C2×D4—88no—
445C2×D4—82no—
446C2×D4—82no—
447C2×D4—816no—
448C2×D4C2×#4114yes—
449C2×D4H(5,𝔽2)14yes—
450C22×C4—22no—
451C22×C4—22no—
452C22×C4—24no—
453C22×C4—22no—
454C22×C4—22no—
455C22×C4—22no—
456C22×C4—22no—
457C22×C4—22no—
458C22×C4—22no—
459C22×C4—22no—
460C22×C4—22no—
461C22×C4—22no—
462C22×C4—22no—
463C22×C4—22no—
464C22×C4—22no—
465C22×C4—22no—
466C22×C4—22no—
467C22×C4—22no—
468C22×C4—22no—
469C22×C4—22no—
470C22×C4—22no—
471C22×C4—41no—
472C22×C4—41no—
473C22×C4—41no—
474C22×C4—41no—
475C22×C4—41no—
476C22×C4—41no—
477C22×C4—41no—
478C22×C4—41no—
479C22×C4—41no—
480C22×C4—41no—
481C22×C4—41no—
482C22×C4—41no—
483C22×C4—41no—
484C22×C4—41no—
485C22×C4—48no—
486C22×C4—48no—
487C22×C4—44no—
488C22×C4—42no—
489C22×C4—42no—
490C22×C4—42no—
491C22×C4—42no—
492C22×C4—42no—
493C22×C4—42no—
494C22×C4—42no—
495C22×C4—42no—
496C22×C4—42no—
497C22×C4—42no—
498C22×C4—42no—
499C22×C4—42no—
500C22×C4—42no—
501C22×C4—44no—
502C22×C4—88no—
503C22×C4—84no—
504C22×C4—82no—
505C22×C4—82no—
506C22×C4—82no—
507C22×C4—82no—
508C22×C4—81no—
509C22×C4—81no—
510C22×C4—81no—
511C22×C4—81no—
512C22×C4—816no—
513C22×C4AGL(1,ℤ/8)14yes—
514C22×C4C22×D411yescharacteristic
515C22×C4C22×D411yescharacteristic
516C22×C4C22×D412yes—
517C22×C4C22×D412yes—
518C22×C4C22×D412yes—
519C22×C4C22×D411yescharacteristic
520C22×C4C22×D412yes—
521C22×C4C2×#4114yes—
522C22×C4C2511yescharacteristic
523D8—416no—
524C2×C8—24no—
525C2×C8—24no—
526C2×C8—24no—
527C2×C8—24no—
528C2×C8—24no—
529C2×C8—24no—
530C4⋊C4—24no—
531C4⋊C4—22no—
532C4⋊C4—24no—
533C4⋊C4—24no—
534C4⋊C4—22no—
535C4⋊C4—24no—
536C4⋊C4—22no—
537C4⋊C4—24no—
538C4⋊C4—42no—
539C4⋊C4—42no—
540C4⋊C4—48no—
541C4⋊C4—48no—
542C4⋊C4—44no—
543C4⋊C4—42no—
544C4⋊C4—44no—
545C4⋊C4—81no—
546C4⋊C4—81no—
547C4⋊C4—84no—
548C4⋊C4C2×#4114yes—
549C22⋊C4—28no—
550C22⋊C4—24no—
551C22⋊C4—24no—
552C22⋊C4—28no—
553C22⋊C4—24no—
554C22⋊C4—24no—
555C22⋊C4—48no—
556C22⋊C4—44no—
557C22⋊C4—44no—
558C22⋊C4—44no—
559C22⋊C4—48no—
560C22⋊C4—44no—
561C22⋊C4—44no—
562C22⋊C4—44no—
563C22⋊C4—44no—
564C22⋊C4—48no—
565C22⋊C4—44no—
566C22⋊C4—82no—
567C22⋊C4—82no—
568C22⋊C4—82no—
569C22⋊C4—82no—
570C42—24no—
571C42—24no—
572C42—42no—
573C42—42no—
574C42—44no—
575C42—44no—
576C23—21no—
577C23—21no—
578C23—21no—
579C23—21no—
580C23—21no—
581C23—21no—
582C23—21no—
583C23—21no—
584C23—21no—
585C23—21no—
586C23—21no—
587C23—21no—
588C23—21no—
589C23—21no—
590C23—21no—
591C23—21no—
592C23—28no—
593C23—24no—
594C23—24no—
595C23—44no—
596C23—44no—
597C23—48no—
598C23—48no—
599C23—48no—
600C23—48no—
601C23—42no—
602C23—42no—
603C23—42no—
604C23—42no—
605C23—42no—
606C23—42no—
607C23—42no—
608C23—42no—
609C23—42no—
610C23—42no—
611C23—42no—
612C23—42no—
613C23—82no—
614C23—82no—
615C23—82no—
616C23—82no—
617C23—84no—
618C23—84no—
619C23—84no—
620C23—84no—
621C23—84no—
622C23—84no—
623C23—162no—
624C23—162no—
625C23—162no—
626C23—162no—
627C23#52512yes—
628C23C2×AGL(1,ℤ/8)12yes—
629C23C2×AGL(1,ℤ/8)12yes—
630C23C2×AGL(1,ℤ/8)12yes—
631C23C2×AGL(1,ℤ/8)12yes—
632C23C23×D411yescharacteristic
633D4—28no—
634D4—28no—
635D4—48no—
636D4—416no—
637D4—416no—
638D4—44no—
639D4—44no—
640D4—84no—
641D4—88no—
642D4—88no—
643C2×C4—22no—
644C2×C4—21no—
645C2×C4—22no—
646C2×C4—21no—
647C2×C4—28no—
648C2×C4—22no—
649C2×C4—22no—
650C2×C4—22no—
651C2×C4—21no—
652C2×C4—24no—
653C2×C4—21no—
654C2×C4—22no—
655C2×C4—22no—
656C2×C4—21no—
657C2×C4—21no—
658C2×C4—22no—
659C2×C4—21no—
660C2×C4—21no—
661C2×C4—22no—
662C2×C4—22no—
663C2×C4—22no—
664C2×C4—44no—
665C2×C4—44no—
666C2×C4—44no—
667C2×C4—48no—
668C2×C4—42no—
669C2×C4—42no—
670C2×C4—44no—
671C2×C4—44no—
672C2×C4—42no—
673C2×C4—42no—
674C2×C4—42no—
675C2×C4—42no—
676C2×C4—42no—
677C2×C4—42no—
678C2×C4—42no—
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—82no—
688C2×C4—82no—
689C2×C4—82no—
690C2×C4—82no—
691C2×C4—816no—
692C2×C4—84no—
693C2×C4—84no—
694C2×C4—84no—
695C2×C4—164no—
696C2×C4—164no—
697C2×C4—162no—
698C2×C4—162no—
699C2×C4#52512yes—
700C2×C4C2×AGL(1,ℤ/8)14yes—
701C2×C4C22×#4112yes—
702C2×C4C2×H(5,𝔽2)12yes—
703C2×C4#58512yes—
704C8—44no—
705C8—44no—
706C22—22no—
707C22—22no—
708C22—22no—
709C22—22no—
710C22—22no—
711C22—22no—
712C22—22no—
713C22—22no—
714C22—22no—
715C22—22no—
716C22—22no—
717C22—22no—
718C22—41no—
719C22—41no—
720C22—41no—
721C22—41no—
722C22—41no—
723C22—41no—
724C22—41no—
725C22—41no—
726C22—44no—
727C22—44no—
728C22—44no—
729C22—44no—
730C22—44no—
731C22—44no—
732C22—88no—
733C22—816no—
734C22—82no—
735C22—82no—
736C22—82no—
737C22—82no—
738C22—82no—
739C22—82no—
740C22—82no—
741C22—82no—
742C22—168no—
743C22#310914yes—
744C22C2×#52511yescharacteristic
745C22#348411yescharacteristic
746C22#348511yescharacteristic
747C22C22×AGL(1,ℤ/8)11yescharacteristic
748C22C22×AGL(1,ℤ/8)11yescharacteristic
749C22#358511yescharacteristic
750C22#358611yescharacteristic
751C4—24no—
752C4—22no—
753C4—42no—
754C4—41no—
755C4—41no—
756C4—44no—
757C4—42no—
758C4—42no—
759C4—82no—
760C4—82no—
761C4—82no—
762C4—82no—
763C4—82no—
764C4#351314yes—
765C2—24no—
766C2—42no—
767C2—42no—
768C2—84no—
769C2—84no—
770C2#3535411yescharacteristic
771C2C2×#310911yescharacteristic
772C2#6056711yescharacteristic
773C2#6157111yescharacteristic
774C2#6158511yescharacteristic
775C2#6170611yescharacteristic
776C2#6170711yescharacteristic
subgroupG/H
center, socleC23C23×D4
commutator, Frattini, cosocleC22×C4C25
prime radical#23918C2
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C23 ◁ C2×C4×C22⋊C4 ◁ G
LECSG ▷ C22×C4 ▷ C2 ▷ C1

Complements

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

NH ≅ G/Ntype
1. C2×#2422C2semidirect
2. #34205C2semidirect
3. #28114C2semidirect
4. #27678C2semidirect
5. #27601C2semidirect
6. #27179C2semidirect
7. #26673C2semidirect
8. #26563C2semidirect
9. #24913C2semidirect
10. #24005C2semidirect
11. #24002C2semidirect
13. #22081C2semidirect
14. #21906C2semidirect
15. #21452C2semidirect
20. C22×C4×D4C22semidirect
21. C2×#481C22semidirect
25. C2×#442C22semidirect
29. #2422C22semidirect
33. #2361C22semidirect
34. #2361C22semidirect
35. #2344C22semidirect
37. D4×C22⋊C4C22semidirect
43. C2×#390C22semidirect
44. C2×#389C22semidirect
46. C2×#384C22semidirect
50. #2100C22semidirect
51. #2094C22semidirect
52. #2077C22semidirect
53. #2067C22semidirect
54. #2054C22semidirect
56. #2033C22semidirect
58. #1948C22semidirect
59. #1943C22semidirect
60. #1936C22semidirect
61. #1925C22semidirect
62. #1924C22semidirect
63. #1924C22semidirect
64. #1921C22semidirect
65. #1879C22semidirect
66. #1879C22semidirect
70. #1874C22semidirect
71. #1864C22semidirect
72. #1864C22semidirect
73. #1853C22semidirect
74. #1853C22semidirect
75. #1853C22semidirect
76. #1852C22semidirect
77. #1824C22semidirect
78. #1823C22semidirect
79. #1802C22semidirect
80. #1797C22semidirect
81. #1786C22semidirect
82. #1786C22semidirect
85. #1762C22semidirect
86. #1749C22semidirect

Maximal subgroups

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

subgroupindex
C2×#24222
#342052
#281142
#276782
#276012
#271792
#266732
#265632
#249132
#240052
#240022
#239182
#220812
#219062
#214522