Finite Group Databasebeta

← #6459138

Subgroups — #6459138

Order 512.

1643 conjugacy classes of subgroups.

The subgroup lattice has 792 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#35297C211yesmaximal, characteristic
2#34188C211yesmaximal, characteristic
3#27975C211yesmaximal, characteristic, complemented
4#27961C211yesmaximal, characteristic, complemented
5#27949C211yesmaximal, characteristic, complemented
6#27905C211yesmaximal, characteristic, complemented
7#27892C211yesmaximal, characteristic, complemented
8#27889C211yesmaximal, characteristic, complemented
9#27876C211yesmaximal, characteristic, complemented
10#27875C211yesmaximal, characteristic, complemented
11#27867C214yesmaximal, complemented
12#24566C214yesmaximal
13#23772C214yesmaximal, complemented
14#21587C214yesmaximal, complemented
15#21409C211yesmaximal, characteristic, complemented
16#21400C211yesmaximal, characteristic, complemented
17#20824C211yesmaximal, characteristic, complemented
18#20816C211yesmaximal, characteristic, complemented
19C4×#408C211yesmaximal, characteristic
20C2×#533C2211yescharacteristic
21C2×C4×#41C2211yescharacteristic
22C2×#483C2214yes—
23C2×#408C2212yes—
24C2×C4×M16C2211yescharacteristic
25C22×C4×C8C2211yescharacteristic
26#2857C2211yescharacteristic
27#2857C2211yescharacteristic
28#2857C2211yescharacteristic
29#2857C2211yescharacteristic
30#2625C2212yes—
31#2616C2212yes—
32#2584—21no—
33#2581—21no—
34#2562—21no—
35#2536—21no—
36#2485—21no—
37#2485—21no—
38#2415—21no—
39#2415—21no—
40#2355—21no—
41#2355—21no—
42#2354—21no—
43#2354—21no—
44#2352—21no—
45#2352—21no—
46#2352—21no—
47#2352—21no—
48#2323C2212yes—
49#2323C2212yes—
50#2314C2212yes—
51#2314C2212yes—
52#2311C2212yes—
53#2285C2211yescharacteristic
54#2285C2211yescharacteristic
55#2285C2211yescharacteristic
56#2285C2211yescharacteristic
57#2285C2211yescharacteristic
58#2285C2211yescharacteristic
59C2×#384C2211yescharacteristic
60#2274C2212yes—
61#2100C2214yes—
62#2096C2214yes—
63#2085C2214yes—
64#2077C2214yes—
65#2077C2214yes—
66#2074C2214yes—
67#2036C2214yes—
68#2035C2214yes—
69#1990C2211yescharacteristic
70#1990C2211yescharacteristic
71#1990C2211yescharacteristic
72#1990C2211yescharacteristic
73#1956C2211yescharacteristic
74#1956C2211yescharacteristic
75#1956C2211yescharacteristic
76#1956C2211yescharacteristic
77#1928C2214yes—
78#1927C2214yes—
79#1920C2214yes—
80#1919C2214yes—
81#1894C2214yes—
82#1892C2214yes—
83#1873C2214yes—
84#1854C2214yes—
85#1845C2211yescharacteristic
86#1844C2211yescharacteristic
87#1844C2211yescharacteristic
88#1844C2211yescharacteristic
89#1834C2211yescharacteristic
90#1834C2211yescharacteristic
91#1834C2211yescharacteristic
92#1834C2211yescharacteristic
93#1824C2214yes—
94#1809C2214yes—
95#1807C2214yes—
96#1776C2214yes—
97C4×#106C2214yes—
98#1763C2214yes—
99C4×#103C2214yes—
100#1750C2212yes—
101#1750C2212yes—
102C4×C22⋊C8C2211yescharacteristic
103C4×C22⋊C8C2211yescharacteristic
104C4×C22⋊C8C2211yescharacteristic
105C4×C22⋊C8C2211yescharacteristic
106#1729C2212yes—
107C22×#41C2311yescharacteristic
108C22×M16C2312yes—
109C23×C8C2312yes—
110#533—24no—
111#533—24no—
112C2×C4⋊Q8C2311yescharacteristic
113C2×C4⋊Q8C2311yescharacteristic
114C2×#125—21no—
115C2×C22⋊Q8—21no—
116C2×C22⋊Q8—21no—
117C2×C22⋊Q8—21no—
118C2×C22⋊Q8C2312yes—
119C2×C22⋊Q8C2312yes—
120C2×C22⋊Q8C2312yes—
121C4×#41—24no—
122C4×#41—24no—
123C2×C4×Q8—21no—
124C2×C4×Q8D411yescharacteristic
125C2×C4×Q8D411yescharacteristic
126C2×C4×Q8C2312yes—
127C2×C4×D4D411yescharacteristic
128C2×C4×D4D411yescharacteristic
129C2×C4×D4D411yescharacteristic
130C2×C4×D4D411yescharacteristic
131C2×C4×D4D411yescharacteristic
132C2×C4×D4D411yescharacteristic
133C2×#117—21no—
134C2×#117—21no—
135C2×#117—21no—
136C2×#117—21no—
137C2×#117—21no—
138C2×#117—21no—
139C2×#117C2312yes—
140C2×#117C2311yescharacteristic
141C2×#117C2311yescharacteristic
142C2×#117C2311yescharacteristic
143C22×C4⋊C4—21no—
144C22×C4⋊C4—21no—
145C22×C4⋊C4C2312yes—
146C22×C42C2311yescharacteristic
147C22×C42C2311yescharacteristic
148C22×C42C2311yescharacteristic
149#483—216no—
150C2×#107C2314yes—
151C2×#106C2314yes—
152C2×#106C2314yes—
153C2×#106C2314yes—
154C2×#103C2314yes—
155C2×#103C2314yes—
156C2×#103C2314yes—
157C2×#103C2314yes—
158#408—28no—
159C2×C22⋊C8C2312yes—
160C2×C22⋊C8C2312yes—
161C2×C22⋊C8C2312yes—
162C2×C22⋊C8C2312yes—
163C4×M16—24no—
164C2×#97C2312yes—
165C2×C4×C8—24no—
166C2×C4×C8C2311yescharacteristic
167C2×C4×C8C2311yescharacteristic
168C2×C4×C8C2311yescharacteristic
169C2×C4×C8C2311yescharacteristic
170C2×C4×C8C2312yes—
171#400—22no—
172#398—22no—
173#397—22no—
174#397—22no—
175#395—22no—
176#394—22no—
177#394—22no—
178#394—22no—
179#391—22no—
180#391—21no—
181#391—21no—
182#391C2312yes—
183#391C2312yes—
184#390—22no—
185#389—22no—
186#389—22no—
187#389—21no—
188#389—21no—
189#389—21no—
190#389—21no—
191#389—21no—
192#389—21no—
193#389C2312yes—
194#389C2312yes—
195#388—22no—
196#388—22no—
197#388—22no—
198#388—22no—
199#388—22no—
200#388—22no—
201#388—22no—
202#388—22no—
203#387—22no—
204#387—22no—
205#387—22no—
206#387—22no—
207#387—22no—
208#387—22no—
209#386—22no—
210#386—22no—
211#384—21no—
212#384—21no—
213#384C2312yes—
214#384C2311yescharacteristic
215#384C2311yescharacteristic
216#384C2311yescharacteristic
217#384C2311yescharacteristic
218#384C2311yescharacteristic
219#384C2311yescharacteristic
220#382—21no—
221#382—21no—
222#382—21no—
223#382—21no—
224#382—21no—
225#382C2312yes—
226#380—21no—
227#380—21no—
228#380—21no—
229#380—21no—
230#380—21no—
231#380—21no—
232#380—21no—
233#380—21no—
234#380—21no—
235#380—21no—
236#380—21no—
237#380—21no—
238#380—21no—
239#380C2312yes—
240#380C2312yes—
241#380C2312yes—
242#380C2312yes—
243#380C2312yes—
244#380C2312yes—
245#380C2312yes—
246C4×C4⋊C4—22no—
247C4×C4⋊C4—22no—
248C4×C4⋊C4—21no—
249C4×C4⋊C4—21no—
250C4×C4⋊C4—21no—
251C4×C4⋊C4—21no—
252C4×C4⋊C4—21no—
253C4×C4⋊C4—21no—
254C4×C4⋊C4—21no—
255C4×C4⋊C4C2312yes—
256C4×C4⋊C4C2312yes—
257C4×C4⋊C4C2312yes—
258C4×C4⋊C4C2312yes—
259C4×C4⋊C4C2312yes—
260C4×C22⋊C4—22no—
261C4×C22⋊C4—22no—
262#340C2314yes—
263#340C2314yes—
264#340C2314yes—
265#340C2314yes—
266#340C2314yes—
267#340C2314yes—
268#340C2314yes—
269#340C2314yes—
270#336C2312yes—
271#336C2312yes—
272#336C2312yes—
273#336C2312yes—
274C2×#41—22no—
275C2×#41—22no—
276C2×#41—24no—
277C2×#41—42no—
278C22×Q8—21no—
279C22×Q8C2×D411yescharacteristic
280C22×Q8C2412yes—
281C22×D4C2×D411yescharacteristic
282C22×D4C2×D411yescharacteristic
283C22×D4C2×D411yescharacteristic
284C23×C4—22no—
285C23×C4C2×D411yescharacteristic
286C23×C4C2×D411yescharacteristic
287C23×C4C2×D411yescharacteristic
288C23×C4C2×D411yescharacteristic
289C23×C4C2×D411yescharacteristic
290C23×C4C2×D411yescharacteristic
291C23×C4C2411yescharacteristic
292C23×C4C2411yescharacteristic
293C23×C4C2411yescharacteristic
294C2×M16—24no—
295C2×M16—24no—
296C2×M16—42no—
297C22×C8—24no—
298C22×C8—24no—
299C22×C8—42no—
300C22×C8C2412yes—
301C22×C8C2412yes—
302C22×C8C2412yes—
303C22×C8C2412yes—
304C4⋊Q8—22no—
305C4⋊Q8—22no—
306C4⋊Q8—22no—
307C4⋊Q8—22no—
308#125—44no—
309C22⋊Q8—24no—
310C22⋊Q8—24no—
311C22⋊Q8—28no—
312C22⋊Q8—44no—
313C22⋊Q8—44no—
314C22⋊Q8—82no—
315C22⋊Q8—82no—
316C4×Q8—24no—
317C4×Q8—24no—
318C4×Q8—24no—
319C4×Q8—24no—
320C4×Q8—44no—
321C4×D4—24no—
322C4×D4—24no—
323C4×D4—24no—
324C4×D4—24no—
325C4×D4—24no—
326C4×D4—24no—
327#117—22no—
328#117—22no—
329#117—22no—
330#117—22no—
331#117—22no—
332#117—22no—
333#117—44no—
334#117—44no—
335#117—82no—
336#117—82no—
337#117—82no—
338#117—82no—
339#117—82no—
340C2×C4⋊C4—28no—
341C2×C4⋊C4—21no—
342C2×C4⋊C4—21no—
343C2×C4⋊C4—21no—
344C2×C4⋊C4—21no—
345C2×C4⋊C4—22no—
346C2×C4⋊C4—21no—
347C2×C4⋊C4—21no—
348C2×C4⋊C4—21no—
349C2×C4⋊C4—21no—
350C2×C4⋊C4—21no—
351C2×C4⋊C4—21no—
352C2×C4⋊C4—21no—
353C2×C4⋊C4—22no—
354C2×C4⋊C4—22no—
355C2×C4⋊C4—22no—
356C2×C4⋊C4—22no—
357C2×C4⋊C4—21no—
358C2×C4⋊C4—21no—
359C2×C4⋊C4—21no—
360C2×C4⋊C4—21no—
361C2×C4⋊C4—22no—
362C2×C4⋊C4—22no—
363C2×C4⋊C4—22no—
364C2×C4⋊C4—22no—
365C2×C4⋊C4—82no—
366C2×C4⋊C4—82no—
367C2×C4⋊C4C2×D411yescharacteristic
368C2×C4⋊C4C2×D411yescharacteristic
369C2×C4⋊C4C2×D411yescharacteristic
370C2×C4⋊C4C2×D411yescharacteristic
371C2×C4⋊C4C2×D411yescharacteristic
372C2×C4⋊C4C2×D411yescharacteristic
373C2×C4⋊C4C2412yes—
374C2×C4⋊C4C2412yes—
375C2×C4⋊C4C2412yes—
376C2×C4⋊C4C2412yes—
377C2×C4⋊C4C2412yes—
378C2×C4⋊C4C2412yes—
379C2×C4⋊C4C2412yes—
380C2×C22⋊C4—22no—
381C2×C22⋊C4—22no—
382C2×C22⋊C4—22no—
383C2×C22⋊C4—22no—
384C2×C22⋊C4—22no—
385C2×C22⋊C4—22no—
386C2×C22⋊C4—22no—
387C2×C22⋊C4—22no—
388C2×C22⋊C4—22no—
389C2×C22⋊C4—22no—
390C2×C22⋊C4—22no—
391C2×C22⋊C4C2×D411yescharacteristic
392C2×C22⋊C4C2×D411yescharacteristic
393C2×C22⋊C4C2×D411yescharacteristic
394C2×C22⋊C4C2×D411yescharacteristic
395C2×C22⋊C4C2×D411yescharacteristic
396C2×C22⋊C4C2×D411yescharacteristic
397C2×C42—22no—
398C2×C42—22no—
399C2×C42—22no—
400C2×C42—22no—
401C2×C42—22no—
402C2×C42—22no—
403C2×C42—22no—
404C2×C42—22no—
405C2×C42—22no—
406C2×C42—22no—
407C2×C42—22no—
408C2×C42C2×D411yescharacteristic
409C2×C42C2×D411yescharacteristic
410C2×C42C2×D411yescharacteristic
411C2×C42C2×D411yescharacteristic
412C2×C42C2×D411yescharacteristic
413C2×C42C2×D411yescharacteristic
414C2×C42#4114yes—
415C2×C42#4114yes—
416C2×C42C2411yescharacteristic
417C2×C42C2411yescharacteristic
418C2×C42C2411yescharacteristic
419C2×C42C2411yescharacteristic
420#107—44no—
421#106—28no—
422#106—28no—
423#106—44no—
424#103—28no—
425#103—28no—
426#103—44no—
427#103—44no—
428C22⋊C8—24no—
429C22⋊C8—24no—
430C22⋊C8—24no—
431C22⋊C8#4118yes—
432#97—24no—
433C4×C8—22no—
434C4×C8—22no—
435C4×C8—24no—
436C4×C8—22no—
437C4×C8—22no—
438#95—22no—
439#95—22no—
440#95—22no—
441#95—22no—
442#95—22no—
443#95—22no—
444#95—22no—
445#95—22no—
446#95—22no—
447#95—22no—
448#95—22no—
449#95—22no—
450#95—22no—
451#95—22no—
452#95—22no—
453#95—22no—
454#95—22no—
455#95—22no—
456#95—22no—
457#95—22no—
458C24C22×D411yescharacteristic
459C24C22×D411yescharacteristic
460C24C22×D411yescharacteristic
461#41—48no—
462#41—48no—
463C2×Q8—22no—
464C2×Q8—22no—
465C2×Q8—24no—
466C2×Q8—22no—
467C2×Q8—22no—
468C2×Q8—24no—
469C2×Q8—41no—
470C2×Q8—42no—
471C2×Q8—42no—
472C2×Q8—42no—
473C2×D4—22no—
474C2×D4—22no—
475C2×D4—22no—
476C2×D4—22no—
477C2×D4—22no—
478C2×D4—22no—
479C2×D4—41no—
480C2×D4—41no—
481C2×D4—41no—
482C22×C4—22no—
483C22×C4—22no—
484C22×C4—22no—
485C22×C4—22no—
486C22×C4—21no—
487C22×C4—21no—
488C22×C4—22no—
489C22×C4—22no—
490C22×C4—22no—
491C22×C4—22no—
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—22no—
501C22×C4—22no—
502C22×C4—22no—
503C22×C4—22no—
504C22×C4—21no—
505C22×C4—21no—
506C22×C4—22no—
507C22×C4—22no—
508C22×C4—22no—
509C22×C4—22no—
510C22×C4—22no—
511C22×C4—22no—
512C22×C4—22no—
513C22×C4—22no—
514C22×C4—22no—
515C22×C4—44no—
516C22×C4—82no—
517C22×C4—82no—
518C22×C4#12314yes—
519C22×C4#12314yes—
520C22×C4C22×D411yescharacteristic
521C22×C4C22×D411yescharacteristic
522C22×C4C22×D411yescharacteristic
523C22×C4C22×D411yescharacteristic
524C22×C4C22×D411yescharacteristic
525C22×C4C22×D411yescharacteristic
526C22×C4C22×D411yescharacteristic
527C22×C4C22×D411yescharacteristic
528C22×C4C22×D411yescharacteristic
529C22×C4C22×D411yescharacteristic
530C22×C4C22×D411yescharacteristic
531C22×C4C2×#4112yes—
532C22×C4C2×#4112yes—
533C22×C4C2×#4114yes—
534C22×C4C2511yescharacteristic
535M16—48no—
536C2×C8—22no—
537C2×C8—22no—
538C2×C8—22no—
539C2×C8—22no—
540C2×C8—22no—
541C2×C8—22no—
542C2×C8—22no—
543C2×C8—22no—
544C2×C8—22no—
545C2×C8—22no—
546C2×C8—48no—
547C2×C8C2×#4114yes—
548C2×C8C2×#4114yes—
549C4⋊C4—22no—
550C4⋊C4—22no—
551C4⋊C4—22no—
552C4⋊C4—22no—
553C4⋊C4—22no—
554C4⋊C4—22no—
555C4⋊C4—24no—
556C4⋊C4—24no—
557C4⋊C4—24no—
558C4⋊C4—22no—
559C4⋊C4—22no—
560C4⋊C4—24no—
561C4⋊C4—24no—
562C4⋊C4—24no—
563C4⋊C4—44no—
564C4⋊C4—42no—
565C4⋊C4—42no—
566C4⋊C4—44no—
567C4⋊C4—44no—
568C4⋊C4—42no—
569C4⋊C4—44no—
570C4⋊C4—44no—
571C4⋊C4—42no—
572C4⋊C4—42no—
573C4⋊C4—42no—
574C4⋊C4—42no—
575C4⋊C4—42no—
576C4⋊C4—42no—
577C4⋊C4—42no—
578C4⋊C4—42no—
579C4⋊C4—42no—
580C4⋊C4—42no—
581C4⋊C4—42no—
582C4⋊C4—42no—
583C4⋊C4—82no—
584C4⋊C4—82no—
585C4⋊C4—82no—
586C4⋊C4—82no—
587C22⋊C4—22no—
588C22⋊C4—22no—
589C22⋊C4—22no—
590C22⋊C4—22no—
591C22⋊C4—22no—
592C22⋊C4—22no—
593C22⋊C4—44no—
594C22⋊C4—44no—
595C22⋊C4—44no—
596C22⋊C4—44no—
597C22⋊C4—82no—
598C22⋊C4—82no—
599C22⋊C4—82no—
600C22⋊C4—82no—
601C22⋊C4—82no—
602C22⋊C4—82no—
603C22⋊C4—82no—
604C42—22no—
605C42—22no—
606C42—22no—
607C42—22no—
608C42—21no—
609C42—21no—
610C42—21no—
611C42—21no—
612C42—44no—
613C42—44no—
614C42—82no—
615C42—82no—
616C42—82no—
617C42—82no—
618C42—82no—
619C42#12314yes—
620C42#12314yes—
621C42C2×#4112yes—
622C42C2×#4112yes—
623C42C2×#4112yes—
624C42C2×#4112yes—
625C23—21no—
626C23—21no—
627C23—21no—
628C23—21no—
629C23—21no—
630C23—21no—
631C23—21no—
632C23—21no—
633C23—21no—
634C23—21no—
635C23—21no—
636C23—21no—
637C23—21no—
638C23—21no—
639C23—21no—
640C23—21no—
641C23—21no—
642C23—21no—
643C23—21no—
644C23C2×#12312yes—
645C23#53212yes—
646C23C23×D411yescharacteristic
647Q8—44no—
648Q8—44no—
649Q8—44no—
650Q8—84no—
651D4—44no—
652D4—44no—
653D4—44no—
654C2×C4—21no—
655C2×C4—21no—
656C2×C4—21no—
657C2×C4—21no—
658C2×C4—21no—
659C2×C4—21no—
660C2×C4—21no—
661C2×C4—21no—
662C2×C4—28no—
663C2×C4—28no—
664C2×C4—24no—
665C2×C4—24no—
666C2×C4—24no—
667C2×C4—24no—
668C2×C4—21no—
669C2×C4—21no—
670C2×C4—21no—
671C2×C4—21no—
672C2×C4—21no—
673C2×C4—21no—
674C2×C4—21no—
675C2×C4—21no—
676C2×C4—21no—
677C2×C4—21no—
678C2×C4—21no—
679C2×C4—21no—
680C2×C4—21no—
681C2×C4—21no—
682C2×C4—21no—
683C2×C4—44no—
684C2×C4—44no—
685C2×C4—44no—
686C2×C4—44no—
687C2×C4—42no—
688C2×C4—42no—
689C2×C4—42no—
690C2×C4—42no—
691C2×C4—42no—
692C2×C4—42no—
693C2×C4—42no—
694C2×C4—42no—
695C2×C4—42no—
696C2×C4—42no—
697C2×C4—42no—
698C2×C4—42no—
699C2×C4—42no—
700C2×C4—42no—
701C2×C4—42no—
702C2×C4—42no—
703C2×C4—42no—
704C2×C4—42no—
705C2×C4—42no—
706C2×C4—42no—
707C2×C4—42no—
708C2×C4—42no—
709C2×C4—42no—
710C2×C4—42no—
711C2×C4—42no—
712C2×C4—42no—
713C2×C4—164no—
714C2×C4C2×#12312yes—
715C2×C4C2×#12312yes—
716C2×C4C2×#12312yes—
717C2×C4C2×#12312yes—
718C2×C4C2×#12312yes—
719C2×C4#53212yes—
720C2×C4#57712yes—
721C2×C4#57712yes—
722C2×C4#57712yes—
723C2×C4#57812yes—
724C2×C4C22×#4111yescharacteristic
725C2×C4C22×#4111yescharacteristic
726C2×C4C22×#4112yes—
727C2×C4#58512yes—
728C8—24no—
729C8—24no—
730C8—42no—
731C8—42no—
732C22—22no—
733C22—22no—
734C22—22no—
735C22—22no—
736C22—22no—
737C22—22no—
738C22—41no—
739C22—41no—
740C22—41no—
741C22—41no—
742C22—41no—
743C22—41no—
744C22—41no—
745C22—41no—
746C22—41no—
747C22—41no—
748C22—41no—
749C22—41no—
750C22—41no—
751C22—41no—
752C22—41no—
753C22C22×#12311yescharacteristic
754C22C2×#53211yescharacteristic
755C22#344911yescharacteristic
756C22C2×#57711yescharacteristic
757C22C2×#57711yescharacteristic
758C22C2×#57711yescharacteristic
759C22C2×#57811yescharacteristic
760C4—22no—
761C4—22no—
762C4—22no—
763C4—22no—
764C4—41no—
765C4—41no—
766C4—41no—
767C4—41no—
768C4—41no—
769C4—82no—
770C4—82no—
771C4—82no—
772C4—82no—
773C4—82no—
774C4—82no—
775C4—82no—
776C4—82no—
777C4#309714yes—
778C4#309914yes—
779C4#347512yes—
780C4#347512yes—
781C2—42no—
782C2—42no—
783C2—81no—
784C2#3481011yescharacteristic
785C2C2×#309711yescharacteristic
786C2C2×#309911yescharacteristic
787C2#6071211yescharacteristic
788C2#6072311yescharacteristic
789C2#6100811yescharacteristic
790C2#6101511yescharacteristic
subgroupG/H
center, socleC23C23×D4
commutator, Frattini, cosocleC22×C4C25
prime radicalC22×#41C23
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
3. #27975C2semidirect
4. #27961C2semidirect
5. #27949C2semidirect
6. #27905C2semidirect
7. #27892C2semidirect
8. #27889C2semidirect
9. #27876C2semidirect
10. #27875C2semidirect
11. #27867C2semidirect
13. #23772C2semidirect
14. #21587C2semidirect
15. #21409C2semidirect
16. #21400C2semidirect
17. #20824C2semidirect
18. #20816C2semidirect

Maximal subgroups

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

subgroupindex
#352972
#341882
#279752
#279612
#279492
#279052
#278922
#278892
#278762
#278752
#278672
#245662
#237722
#215872
#214092
#214002
#208242
#208162
C4×#4082