Finite Group Databasebeta

← #6502114

Subgroups — #6502114

Order 512.

2200 conjugacy classes of subgroups.

The subgroup lattice has 768 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#2429C211yesmaximal, characteristic, complemented
2#34205C211yesmaximal, characteristic
3#29234C212yesmaximal, complemented
4#27413C214yesmaximal, complemented
5#26945C214yesmaximal, complemented
6#26641C214yesmaximal, complemented
7#25176C214yesmaximal, complemented
8#24209C212yesmaximal, complemented
9#24006C211yesmaximal, characteristic, complemented
10#24006C211yesmaximal, characteristic, complemented
11#23919C211yesmaximal, characteristic
12#23919C211yesmaximal, characteristic
13#22047C212yesmaximal, complemented
14#21906C211yesmaximal, characteristic, complemented
15#21454C212yesmaximal, complemented
16C22×C4⋊Q8C2211yescharacteristic, complemented
17C22×C22⋊Q8C2211yescharacteristic
18C22×C22⋊Q8C2211yescharacteristic
19C22×#121C2211yescharacteristic
20C2×#518—21no—
21C22×C4×Q8C2211yescharacteristic, complemented
22C2×#484C2212yescomplemented
23C2×#484C2212yescomplemented
24C2×#461C2214yescomplemented
25C2×#448C2212yes—
26C2×#448C2212yes—
27C2×#450C2212yes—
28C2×#450C2212yes—
29C2×#440C2214yescomplemented
30#2429—22no—
31#2429—22no—
32#2429C2214yes—
33#2429C2214yescomplemented
34C2×#398—21no—
35C2×#396—21no—
36#2364—22no—
37#2361C2212yes—
38#2361C2212yes—
39#2344C2212yes—
40#2342—22no—
41D4×C22⋊C4C2212yes—
42#2325—21no—
43#2325—21no—
44#2308—21no—
45C4×#121C2212yes—
46C4×#121C2212yes—
47C2×#391C2211yescharacteristic, complemented
48C2×#389—21no—
49C2×#389C2211yescharacteristic, complemented
50C2×#388—21no—
51C2×#380C2211yescharacteristic
52C2×C4×C22⋊C4C2211yescharacteristic
53#2086C2214yescomplemented
54#2067C2214yescomplemented
55#2043C2214yescomplemented
56#2036C2214yes—
57#2036C2214yes—
58#2013C2214yescomplemented
59#2000C2214yes—
60#2000C2214yes—
61#1981C2214yescomplemented
62#1973C2214yescomplemented
63#1935C2214yescomplemented
64#1928C2214yescomplemented
65#1924C2214yes—
66#1924C2214yescomplemented
67#1918C2214yescomplemented
68#1880C2214yescomplemented
69#1877C2214yescomplemented
70#1874C2212yes—
71#1874C2212yes—
72#1872C2212yes—
73#1872C2212yes—
74#1872C2212yescomplemented
75#1872C2212yescomplemented
76#1863C2214yescomplemented
77#1862C2214yescomplemented
78#1852C2212yescomplemented
79#1852C2212yescomplemented
80#1797C2212yescomplemented
81#1787C2212yescomplemented
82#1787C2212yescomplemented
83#1779C2211yescharacteristic
84#1779C2211yescharacteristic
85#1763C2214yescomplemented
86#1749C2212yescomplemented
87C23×Q8C2311yescharacteristic
88C23×Q8C2311yescharacteristic
89C23×D4—21no—
90C23×D4C2311yescharacteristic
91C24×C4C2311yescharacteristic
92C22×SD16C2314yes—
93C22×SD16C2314yes—
94C2×C4⋊Q8—22no—
95C2×C4⋊Q8—44no—
96C2×C4⋊Q8C2314yes—
97C2×C22⋊Q8—21no—
98C2×C22⋊Q8—21no—
99C2×C22⋊Q8—21no—
100C2×C22⋊Q8—21no—
101C2×C22⋊Q8—44no—
102C2×C22⋊Q8—44no—
103C2×C22⋊Q8C2312yes—
104C2×C22⋊Q8C2312yes—
105C2×C22⋊Q8C2312yes—
106C2×C22⋊Q8C2312yes—
107C2×#121—21no—
108C2×#121—21no—
109C2×#121—28no—
110C2×#121C2312yes—
111C2×#121C2312yes—
112#518—48no—
113C2×C4×Q8—22no—
114C2×C4×Q8—44no—
115C2×C4×Q8C2314yes—
116C2×C4×D4—22no—
117C2×C4×D4—22no—
118C2×C4×D4—22no—
119C2×C4×D4—22no—
120C2×C4×D4C2312yes—
121C2×C4×D4C2312yes—
122C2×#117—22no—
123C22×C4⋊C4—21no—
124C22×C4⋊C4—21no—
125C22×C4⋊C4—21no—
126C22×C4⋊C4—21no—
127C22×C4⋊C4—21no—
128C22×C4⋊C4—21no—
129C22×C4⋊C4C2311yescharacteristic
130C22×C4⋊C4C2311yescharacteristic
131C22×C4⋊C4C2311yescharacteristic
132C22×C4⋊C4C2311yescharacteristic
133C22×C4⋊C4C2311yescharacteristic
134C22×C22⋊C4—21no—
135C22×C22⋊C4—21no—
136C22×C22⋊C4—21no—
137C22×C22⋊C4—21no—
138C22×C22⋊C4—22no—
139C22×C22⋊C4D411yescharacteristic
140C22×C22⋊C4D411yescharacteristic
141C22×C42—21no—
142C22×C42C2311yescharacteristic
143C22×C42C2311yescharacteristic
144#484—44no—
145#484—44no—
146#461—48no—
147#450—44no—
148#450—44no—
149#448—28no—
150#448—28no—
151#440—48no—
152C2×#107C2314yes—
153C2×#107C2314yes—
154C2×C4⋊C8C2314yes—
155C2×#103C2314yes—
156C2×#103C2314yes—
157C2×#103C2314yes—
158C2×#103C2314yes—
159C2×#103C2314yes—
160C2×#103C2314yes—
161C2×#102C2314yes—
162C2×#102C2314yes—
163C2×C22⋊C8C2312yes—
164C2×C22⋊C8C2312yes—
165C2×C22⋊C8C2312yes—
166C2×C22⋊C8C2312yes—
167C2×C22⋊C8C2312yes—
168C2×C22⋊C8C2312yes—
169C2×#97C2314yes—
170#398—24no—
171#398—24no—
172#396—24no—
173#396—24no—
174#391—22no—
175#391C2314yes—
176#390C2312yes—
177#390C2312yes—
178#389—22no—
179#389—24no—
180#389—24no—
181#389C2314yes—
182#389C2312yes—
183#389C2312yes—
184#388—24no—
185#388—24no—
186#388—22no—
187#388—22no—
188#388—22no—
189#388—22no—
190#387—22no—
191#387—22no—
192#386—22no—
193#386—22no—
194#386—22no—
195#386—22no—
196#386—22no—
197#386—22no—
198#385—22no—
199#385—22no—
200#381—22no—
201#380—21no—
202#380—21no—
203#380C2312yes—
204#380C2312yes—
205#379—22no—
206C4×C4⋊C4C2312yes—
207C4×C4⋊C4C2312yes—
208C4×C22⋊C4—22no—
209C4×C22⋊C4—22no—
210C4×C22⋊C4D412yes—
211C4×C22⋊C4D412yes—
212C4×C22⋊C4C2312yes—
213C4×C22⋊C4C2312yes—
214C2×#95—21no—
215C2×#95—21no—
216C2×#95—21no—
217C2×#95—21no—
218C2×#95D411yescharacteristic
219C2×#95D411yescharacteristic
220#340C2314yes—
221#340C2314yes—
222#340C2314yes—
223#340C2314yes—
224#336C2314yes—
225#336C2314yes—
226C25—21no—
227C25C2×D411yescharacteristic
228C22×Q8—24no—
229C22×Q8—21no—
230C22×Q8—21no—
231C22×Q8—24no—
232C22×Q8—24no—
233C22×Q8—42no—
234C22×Q8—42no—
235C22×Q8—42no—
236C22×Q8C2412yes—
237C22×Q8C2412yes—
238C22×D4—28no—
239C22×D4—22no—
240C22×D4—22no—
241C22×D4—24no—
242C22×D4—21no—
243C22×D4—42no—
244C22×D4—42no—
245C22×D4—44no—
246C22×D4—44no—
247C22×D4C2412yes—
248C23×C4—21no—
249C23×C4—21no—
250C23×C4—21no—
251C23×C4—24no—
252C23×C4—21no—
253C23×C4—21no—
254C23×C4—21no—
255C23×C4—21no—
256C23×C4—22no—
257C23×C4—22no—
258C23×C4—42no—
259C23×C4—42no—
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×SD16—28no—
271C2×SD16—28no—
272C2×SD16—28no—
273C2×SD16—44no—
274C2×SD16—44no—
275C2×SD16—44no—
276C22×C8C2414yes—
277C22×C8C2414yes—
278C4⋊Q8—28no—
279C4⋊Q8—44no—
280C4⋊Q8—48no—
281C22⋊Q8—24no—
282C22⋊Q8—24no—
283C22⋊Q8—24no—
284C22⋊Q8—24no—
285C22⋊Q8—42no—
286C22⋊Q8—42no—
287C22⋊Q8—42no—
288C22⋊Q8—42no—
289C22⋊Q8—44no—
290C22⋊Q8—44no—
291C22⋊Q8—44no—
292C22⋊Q8—44no—
293#121—28no—
294#121—28no—
295#121—24no—
296#121—24no—
297#121—24no—
298#121#4118yes—
299C4×Q8—28no—
300C4×Q8—44no—
301C4×Q8—48no—
302C4×D4—44no—
303C4×D4—44no—
304C4×D4—48no—
305C4×D4—48no—
306C4×D4—48no—
307C4×D4—48no—
308#117—48no—
309C2×C4⋊C4—21no—
310C2×C4⋊C4—21no—
311C2×C4⋊C4—24no—
312C2×C4⋊C4—24no—
313C2×C4⋊C4—24no—
314C2×C4⋊C4—22no—
315C2×C4⋊C4—22no—
316C2×C4⋊C4—22no—
317C2×C4⋊C4—22no—
318C2×C4⋊C4—24no—
319C2×C4⋊C4—24no—
320C2×C4⋊C4—24no—
321C2×C4⋊C4—21no—
322C2×C4⋊C4—22no—
323C2×C4⋊C4—22no—
324C2×C4⋊C4—21no—
325C2×C4⋊C4—21no—
326C2×C4⋊C4—42no—
327C2×C4⋊C4—42no—
328C2×C4⋊C4—42no—
329C2×C4⋊C4—44no—
330C2×C4⋊C4—44no—
331C2×C4⋊C4—44no—
332C2×C4⋊C4—44no—
333C2×C4⋊C4—44no—
334C2×C4⋊C4—44no—
335C2×C4⋊C4C2412yes—
336C2×C4⋊C4C2412yes—
337C2×C4⋊C4C2412yes—
338C2×C4⋊C4C2412yes—
339C2×C4⋊C4C2412yes—
340C2×C22⋊C4—28no—
341C2×C22⋊C4—24no—
342C2×C22⋊C4—24no—
343C2×C22⋊C4—22no—
344C2×C22⋊C4—22no—
345C2×C22⋊C4—22no—
346C2×C22⋊C4—22no—
347C2×C22⋊C4—22no—
348C2×C22⋊C4—22no—
349C2×C22⋊C4—22no—
350C2×C22⋊C4—22no—
351C2×C22⋊C4—22no—
352C2×C22⋊C4—22no—
353C2×C22⋊C4—22no—
354C2×C22⋊C4—22no—
355C2×C22⋊C4—22no—
356C2×C22⋊C4—22no—
357C2×C22⋊C4—48no—
358C2×C22⋊C4—44no—
359C2×C22⋊C4—44no—
360C2×C22⋊C4—44no—
361C2×C22⋊C4C2×D412yes—
362C2×C22⋊C4C2×D412yes—
363C2×C22⋊C4C2×D412yes—
364C2×C22⋊C4C2×D412yes—
365C2×C42—22no—
366C2×C42—22no—
367C2×C42—24no—
368C2×C42—42no—
369C2×C42—42no—
370C2×C42—44no—
371C2×C42C2×D412yes—
372C2×C42C2×D412yes—
373C2×C42C2412yes—
374C2×C42C2412yes—
375#107—28no—
376#107—44no—
377C4⋊C8—44no—
378#103—28no—
379#103—28no—
380#103—28no—
381#103—44no—
382#103—44no—
383#103—44no—
384#102—28no—
385#102—44no—
386C22⋊C8—24no—
387C22⋊C8—24no—
388C22⋊C8—42no—
389C22⋊C8—42no—
390C22⋊C8—42no—
391C22⋊C8—42no—
392#97—44no—
393#95—22no—
394#95—22no—
395#95—24no—
396#95—24no—
397#95—24no—
398#95—22no—
399#95—22no—
400#95—22no—
401#95—22no—
402#95C2×D412yes—
403#95C2×D412yes—
404#95C2×D412yes—
405#95C2×D412yes—
406C24—22no—
407C24—22no—
408C24—24no—
409C24—22no—
410C24—41no—
411C24—41no—
412C24—41no—
413C24—41no—
414C24—42no—
415C24—42no—
416C24—81no—
417C24—81no—
418C24—81no—
419C24—81no—
420C24#13714yes—
421C24C22×D411yescharacteristic
422C24C22×D411yescharacteristic
423C24C22×D411yescharacteristic
424C2×Q8—24no—
425C2×Q8—22no—
426C2×Q8—24no—
427C2×Q8—24no—
428C2×Q8—24no—
429C2×Q8—22no—
430C2×Q8—24no—
431C2×Q8—22no—
432C2×Q8—416no—
433C2×Q8—42no—
434C2×Q8—42no—
435C2×Q8—42no—
436C2×Q8—42no—
437C2×Q8—42no—
438C2×Q8—88no—
439C2×Q8H(5,𝔽2)14yes—
440C2×D4—28no—
441C2×D4—28no—
442C2×D4—24no—
443C2×D4—22no—
444C2×D4—24no—
445C2×D4—24no—
446C2×D4—44no—
447C2×D4—432no—
448C2×D4—44no—
449C2×D4—44no—
450C2×D4—44no—
451C2×D4—81no—
452C2×D4—81no—
453C2×D4—88no—
454C2×D4C2×#4114yes—
455C22×C4—22no—
456C22×C4—22no—
457C22×C4—24no—
458C22×C4—24no—
459C22×C4—24no—
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—22no—
472C22×C4—22no—
473C22×C4—22no—
474C22×C4—22no—
475C22×C4—22no—
476C22×C4—22no—
477C22×C4—22no—
478C22×C4—22no—
479C22×C4—41no—
480C22×C4—41no—
481C22×C4—41no—
482C22×C4—41no—
483C22×C4—41no—
484C22×C4—41no—
485C22×C4—41no—
486C22×C4—41no—
487C22×C4—41no—
488C22×C4—41no—
489C22×C4—41no—
490C22×C4—41no—
491C22×C4—41no—
492C22×C4—41no—
493C22×C4—44no—
494C22×C4—42no—
495C22×C4—42no—
496C22×C4—42no—
497C22×C4—42no—
498C22×C4—42no—
499C22×C4—42no—
500C22×C4—42no—
501C22×C4—42no—
502C22×C4—42no—
503C22×C4—42no—
504C22×C4—42no—
505C22×C4—42no—
506C22×C4—42no—
507C22×C4—42no—
508C22×C4—44no—
509C22×C4—88no—
510C22×C4—82no—
511C22×C4—82no—
512C22×C4—82no—
513C22×C4—82no—
514C22×C4—81no—
515C22×C4—81no—
516C22×C4—81no—
517C22×C4—81no—
518C22×C4AGL(1,ℤ/8)14yes—
519C22×C4C22×D412yes—
520C22×C4C22×D412yes—
521C22×C4C22×D411yescharacteristic
522C22×C4C22×D412yes—
523C22×C4C22×D411yescharacteristic
524C22×C4C22×D411yescharacteristic
525C22×C4C22×D412yes—
526C22×C4C2×#4114yes—
527C22×C4C2511yescharacteristic
528SD16—416no—
529SD16—88no—
530C2×C8—24no—
531C2×C8—24no—
532C2×C8—24no—
533C2×C8—24no—
534C2×C8—24no—
535C2×C8—24no—
536C4⋊C4—24no—
537C4⋊C4—24no—
538C4⋊C4—22no—
539C4⋊C4—22no—
540C4⋊C4—22no—
541C4⋊C4—24no—
542C4⋊C4—24no—
543C4⋊C4—22no—
544C4⋊C4—48no—
545C4⋊C4—44no—
546C4⋊C4—44no—
547C4⋊C4—44no—
548C4⋊C4—44no—
549C4⋊C4—48no—
550C4⋊C4—48no—
551C4⋊C4—42no—
552C4⋊C4—44no—
553C4⋊C4—48no—
554C4⋊C4—44no—
555C4⋊C4—81no—
556C4⋊C4—81no—
557C4⋊C4C2×#4114yes—
558C4⋊C4H(5,𝔽2)14yes—
559C22⋊C4—28no—
560C22⋊C4—24no—
561C22⋊C4—24no—
562C22⋊C4—28no—
563C22⋊C4—24no—
564C22⋊C4—24no—
565C22⋊C4—44no—
566C22⋊C4—44no—
567C22⋊C4—44no—
568C22⋊C4—44no—
569C22⋊C4—44no—
570C22⋊C4—44no—
571C22⋊C4—44no—
572C22⋊C4—44no—
573C22⋊C4—82no—
574C22⋊C4—82no—
575C22⋊C4—82no—
576C22⋊C4—82no—
577C42—24no—
578C42—24no—
579C42—42no—
580C42—42no—
581C42—48no—
582C42—44no—
583C42—44no—
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—28no—
601C23—24no—
602C23—44no—
603C23—44no—
604C23—48no—
605C23—42no—
606C23—42no—
607C23—42no—
608C23—42no—
609C23—42no—
610C23—42no—
611C23—82no—
612C23—82no—
613C23—82no—
614C23—82no—
615C23—84no—
616C23—84no—
617C23—162no—
618C23—162no—
619C23—162no—
620C23—162no—
621C23#52512yes—
622C23C2×AGL(1,ℤ/8)12yes—
623C23C2×#13712yes—
624C23C2×#13712yes—
625C23C2×#13712yes—
626C23C23×D411yescharacteristic
627Q8—28no—
628Q8—48no—
629Q8—44no—
630Q8—44no—
631Q8—44no—
632Q8—84no—
633D4—28no—
634D4—416no—
635D4—416no—
636D4—44no—
637D4—84no—
638C2×C4—22no—
639C2×C4—22no—
640C2×C4—21no—
641C2×C4—21no—
642C2×C4—28no—
643C2×C4—22no—
644C2×C4—22no—
645C2×C4—22no—
646C2×C4—21no—
647C2×C4—24no—
648C2×C4—21no—
649C2×C4—22no—
650C2×C4—22no—
651C2×C4—22no—
652C2×C4—24no—
653C2×C4—24no—
654C2×C4—21no—
655C2×C4—21no—
656C2×C4—21no—
657C2×C4—21no—
658C2×C4—22no—
659C2×C4—22no—
660C2×C4—22no—
661C2×C4—44no—
662C2×C4—44no—
663C2×C4—44no—
664C2×C4—48no—
665C2×C4—48no—
666C2×C4—48no—
667C2×C4—42no—
668C2×C4—42no—
669C2×C4—42no—
670C2×C4—42no—
671C2×C4—42no—
672C2×C4—42no—
673C2×C4—44no—
674C2×C4—44no—
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—84no—
692C2×C4—84no—
693C2×C4—164no—
694C2×C4—164no—
695C2×C4—162no—
696C2×C4—162no—
697C2×C4#52512yes—
698C2×C4C2×AGL(1,ℤ/8)14yes—
699C2×C4C22×#4112yes—
700C2×C4C2×H(5,𝔽2)12yes—
701C2×C4C2×H(5,𝔽2)12yes—
702C8—44no—
703C8—44no—
704C22—22no—
705C22—22no—
706C22—22no—
707C22—22no—
708C22—22no—
709C22—22no—
710C22—22no—
711C22—22no—
712C22—22no—
713C22—22no—
714C22—22no—
715C22—22no—
716C22—41no—
717C22—41no—
718C22—41no—
719C22—41no—
720C22—41no—
721C22—41no—
722C22—41no—
723C22—41no—
724C22—44no—
725C22—44no—
726C22—44no—
727C22—88no—
728C22—82no—
729C22—82no—
730C22—82no—
731C22—82no—
732C22—168no—
733C22#311014yes—
734C22C2×#52511yescharacteristic
735C22#348411yescharacteristic
736C22#348411yescharacteristic
737C22C22×AGL(1,ℤ/8)11yescharacteristic
738C22C22×#13711yescharacteristic
739C22#358611yescharacteristic
740C22#358611yescharacteristic
741C4—22no—
742C4—24no—
743C4—41no—
744C4—41no—
745C4—44no—
746C4—44no—
747C4—42no—
748C4—42no—
749C4—42no—
750C4—44no—
751C4—82no—
752C4—82no—
753C4—82no—
754C4—82no—
755C4#351914yes—
756C2—24no—
757C2—42no—
758C2—42no—
759C2—84no—
760C2#3535511yescharacteristic
761C2C2×#311011yescharacteristic
762C2#6056911yescharacteristic
763C2#6157211yescharacteristic
764C2#6157411yescharacteristic
765C2#6157411yescharacteristic
766C2#6158511yescharacteristic
subgroupG/H
center, socleC23C23×D4
commutator, Frattini, cosocleC22×C4C25
prime radicalC22×#121C22
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×#2429C2semidirect
3. #29234C2semidirect
4. #27413C2semidirect
5. #26945C2semidirect
6. #26641C2semidirect
7. #25176C2semidirect
8. #24209C2semidirect
9. #24006C2semidirect
10. #24006C2semidirect
13. #22047C2semidirect
14. #21906C2semidirect
15. #21454C2semidirect
16. C22×C4⋊Q8C22semidirect
21. C22×C4×Q8C22semidirect
22. C2×#484C22semidirect
23. C2×#484C22semidirect
24. C2×#461C22semidirect
29. C2×#440C22semidirect
33. #2429C22semidirect
47. C2×#391C22semidirect
49. C2×#389C22semidirect
53. #2086C22semidirect
54. #2067C22semidirect
55. #2043C22semidirect
58. #2013C22semidirect
61. #1981C22semidirect
62. #1973C22semidirect
63. #1935C22semidirect
64. #1928C22semidirect
66. #1924C22semidirect
67. #1918C22semidirect
68. #1880C22semidirect
69. #1877C22semidirect
74. #1872C22semidirect
75. #1872C22semidirect
76. #1863C22semidirect
77. #1862C22semidirect
78. #1852C22semidirect
79. #1852C22semidirect
80. #1797C22semidirect
81. #1787C22semidirect
82. #1787C22semidirect
85. #1763C22semidirect
86. #1749C22semidirect

Maximal subgroups

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

subgroupindex
C2×#24292
#342052
#292342
#274132
#269452
#266412
#251762
#242092
#240062
#239192
#220472
#219062
#214542