Finite Group Databasebeta

← #6497302

Subgroups — #6497302

Order 512.

1541 conjugacy classes of subgroups.

The subgroup lattice has 786 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#35280C211yesmaximal, characteristic
2#34188C211yesmaximal, characteristic
3#33158C214yesmaximal, complemented
4#29946C214yesmaximal, complemented
5#27961C211yesmaximal, characteristic, complemented
6#27960C211yesmaximal, characteristic, complemented
7#27949C211yesmaximal, characteristic, complemented
8#27949C211yesmaximal, characteristic, complemented
9#27878C211yesmaximal, characteristic, complemented
10#27877C211yesmaximal, characteristic, complemented
11#27876C211yesmaximal, characteristic, complemented
12#27875C211yesmaximal, characteristic, complemented
13#27623C214yesmaximal, complemented
14#27606C214yesmaximal
15#21982C211yesmaximal, characteristic, complemented
16#21981C211yesmaximal, characteristic, complemented
17#21835C211yesmaximal, characteristic, complemented
18#21835C211yesmaximal, characteristic, complemented
19#20718C211yesmaximal, characteristic
20C2×#533C2211yescharacteristic
21C2×C4×#41C2211yescharacteristic
22C2×#431C2211yescharacteristic
23C2×#431C2211yescharacteristic
24#2857C2211yescharacteristic
25#2857C2211yescharacteristic
26#2857C2211yescharacteristic
27#2857C2211yescharacteristic
28#2629C2212yes—
29#2629C2212yes—
30#2582—21no—
31#2582—21no—
32#2538—21no—
33#2538—21no—
34#2417—21no—
35#2417—21no—
36#2417—21no—
37#2417—21no—
38#2355—21no—
39#2355—21no—
40#2354—21no—
41#2354—21no—
42#2352—21no—
43#2352—21no—
44#2352—21no—
45#2352—21no—
46#2316C2212yes—
47#2314C2212yes—
48#2314C2212yes—
49#2311C2212yes—
50#2311C2212yes—
51#2285C2211yescharacteristic
52#2285C2211yescharacteristic
53#2285C2211yescharacteristic
54#2285C2211yescharacteristic
55#2285C2211yescharacteristic
56C2×#384C2211yescharacteristic
57C2×#384C2211yescharacteristic
58#2274C2212yes—
59#2100C2214yes—
60#2099C2214yes—
61#2085C2214yes—
62#2085C2214yes—
63#2077C2214yes—
64#2077C2214yes—
65#2076C2214yes—
66#2075C2214yes—
67#1990C2211yescharacteristic
68#1990C2211yescharacteristic
69#1990C2211yescharacteristic
70#1990C2211yescharacteristic
71#1990C2211yescharacteristic
72#1990C2211yescharacteristic
73#1990C2211yescharacteristic
74#1990C2211yescharacteristic
75#1989C2214yes—
76#1989C2214yes—
77#1948C2214yes—
78#1947C2214yes—
79#1921C2214yes—
80#1920C2214yes—
81#1919C2214yes—
82#1918C2214yes—
83#1854C2214yes—
84#1854C2214yes—
85#1853C2214yes—
86#1852C2214yes—
87#1845C2211yescharacteristic
88#1845C2211yescharacteristic
89#1844C2211yescharacteristic
90#1844C2211yescharacteristic
91#1834C2211yescharacteristic
92#1834C2211yescharacteristic
93#1834C2211yescharacteristic
94#1834C2211yescharacteristic
95#1825C2214yes—
96#1825C2214yes—
97#1824C2214yes—
98#1823C2214yes—
99#1818C2212yes—
100#1798C2212yes—
101#1798C2212yes—
102#1780C2212yes—
103C4×C22⋊C8C2211yescharacteristic
104C4×C22⋊C8C2211yescharacteristic
105C4×C22⋊C8C2211yescharacteristic
106C4×C22⋊C8C2211yescharacteristic
107C22×#41C2311yescharacteristic
108#533—24no—
109#533—24no—
110C2×C4⋊Q8C2311yescharacteristic
111C2×C4⋊Q8C2311yescharacteristic
112C2×#125C2312yes—
113C2×C22⋊Q8—21no—
114C2×C22⋊Q8—21no—
115C2×C22⋊Q8—21no—
116C2×C22⋊Q8—21no—
117C2×C22⋊Q8—21no—
118C2×C22⋊Q8—21no—
119C4×#41—24no—
120C4×#41—24no—
121C2×C4×Q8—21no—
122C2×C4×Q8—21no—
123C2×C4×Q8D411yescharacteristic
124C2×C4×Q8D411yescharacteristic
125C2×C4×D4D411yescharacteristic
126C2×C4×D4D411yescharacteristic
127C2×C4×D4D411yescharacteristic
128C2×C4×D4D411yescharacteristic
129C2×C4×D4D411yescharacteristic
130C2×C4×D4D411yescharacteristic
131C2×#117—21no—
132C2×#117—21no—
133C2×#117—21no—
134C2×#117—21no—
135C2×#117C2312yes—
136C2×#117C2312yes—
137C2×#117C2311yescharacteristic
138C2×#117C2311yescharacteristic
139C2×#117C2311yescharacteristic
140C22×C4⋊C4—21no—
141C22×C4⋊C4—21no—
142C22×C4⋊C4—21no—
143C22×C4⋊C4—21no—
144C22×C4⋊C4C2312yes—
145C22×C4⋊C4C2312yes—
146C22×C42C2311yescharacteristic
147C22×C42C2311yescharacteristic
148C22×C42C2311yescharacteristic
149#431—24no—
150#431—24no—
151C2×#107C2314yes—
152C2×#107C2314yes—
153C2×#106C2314yes—
154C2×#106C2314yes—
155C2×C4⋊C8C2312yes—
156C2×C4⋊C8C2312yes—
157C2×C22⋊C8C2312yes—
158C2×C22⋊C8C2312yes—
159C2×C22⋊C8C2312yes—
160C2×C22⋊C8C2312yes—
161C2×C22⋊C8C2312yes—
162C2×C22⋊C8C2312yes—
163C2×C4×C8C2311yescharacteristic
164C2×C4×C8C2311yescharacteristic
165C2×C4×C8C2311yescharacteristic
166C2×C4×C8C2311yescharacteristic
167#398—22no—
168#398—22no—
169#398—22no—
170#398—22no—
171#396—22no—
172#396—22no—
173#396—22no—
174#396—22no—
175#391—22no—
176#391—22no—
177#391—21no—
178#391—21no—
179#391—21no—
180#391—21no—
181#390—22no—
182#390—22no—
183#389—22no—
184#389—22no—
185#389—21no—
186#389—21no—
187#389—21no—
188#389—21no—
189#389C2312yes—
190#389C2312yes—
191#389C2312yes—
192#389C2312yes—
193#388—22no—
194#388—22no—
195#388—22no—
196#388—22no—
197#387—22no—
198#387—22no—
199#387—22no—
200#387—22no—
201#386—22no—
202#386—22no—
203#386—22no—
204#386—22no—
205#384—21no—
206#384—21no—
207#384—21no—
208#384—21no—
209#384C2312yes—
210#384C2311yescharacteristic
211#384C2311yescharacteristic
212#384C2311yescharacteristic
213#384C2311yescharacteristic
214#384C2311yescharacteristic
215#384C2311yescharacteristic
216#384C2312yes—
217#382—21no—
218#382—21no—
219#382—21no—
220#382—21no—
221#382C2312yes—
222#380—21no—
223#380—21no—
224#380—21no—
225#380—21no—
226#380—21no—
227#380—21no—
228#380—21no—
229#380—21no—
230#380—21no—
231#380—21no—
232#380—22no—
233#380—22no—
234#380C2312yes—
235#380C2312yes—
236#380C2312yes—
237#380C2312yes—
238#380C2312yes—
239#380C2312yes—
240#380C2312yes—
241#380C2312yes—
242C4×C4⋊C4—22no—
243C4×C4⋊C4—22no—
244C4×C4⋊C4—21no—
245C4×C4⋊C4—21no—
246C4×C4⋊C4—21no—
247C4×C4⋊C4—21no—
248C4×C4⋊C4—21no—
249C4×C4⋊C4—21no—
250C4×C4⋊C4C2312yes—
251C4×C4⋊C4C2312yes—
252C4×C4⋊C4C2312yes—
253C4×C4⋊C4C2312yes—
254C4×C22⋊C4—22no—
255C4×C22⋊C4—22no—
256#340C2314yes—
257#340C2314yes—
258#340C2314yes—
259#340C2314yes—
260#340C2314yes—
261#340C2314yes—
262#340C2314yes—
263#340C2314yes—
264#340C2314yes—
265#340C2314yes—
266#340C2314yes—
267#340C2314yes—
268#336C2312yes—
269#336C2312yes—
270#336C2312yes—
271#336C2312yes—
272C2×#41—22no—
273C2×#41—22no—
274C2×#41—24no—
275C2×#41—42no—
276C22×Q8—21no—
277C22×Q8—21no—
278C22×Q8C2×D411yescharacteristic
279C22×D4C2×D411yescharacteristic
280C22×D4C2×D411yescharacteristic
281C22×D4C2×D411yescharacteristic
282C23×C4—22no—
283C23×C4—22no—
284C23×C4C2×D411yescharacteristic
285C23×C4C2×D411yescharacteristic
286C23×C4C2×D411yescharacteristic
287C23×C4C2×D411yescharacteristic
288C23×C4C2×D411yescharacteristic
289C23×C4C2×D411yescharacteristic
290C23×C4C2411yescharacteristic
291C23×C4C2411yescharacteristic
292C23×C4C2411yescharacteristic
293C22×C8C2412yes—
294C22×C8C2412yes—
295C22×C8C2412yes—
296C22×C8C2412yes—
297C4⋊Q8—22no—
298C4⋊Q8—22no—
299C4⋊Q8—22no—
300C4⋊Q8—22no—
301#125—24no—
302#125—24no—
303C22⋊Q8—44no—
304C22⋊Q8—44no—
305C22⋊Q8—82no—
306C22⋊Q8—82no—
307C22⋊Q8—82no—
308C22⋊Q8—82no—
309C4×Q8—24no—
310C4×Q8—24no—
311C4×Q8—44no—
312C4×Q8—44no—
313C4×D4—24no—
314C4×D4—24no—
315C4×D4—24no—
316C4×D4—24no—
317C4×D4—24no—
318C4×D4—24no—
319#117—22no—
320#117—22no—
321#117—22no—
322#117—22no—
323#117—22no—
324#117—22no—
325#117—24no—
326#117—24no—
327#117—44no—
328#117—82no—
329#117—82no—
330#117—82no—
331#117—82no—
332C2×C4⋊C4—28no—
333C2×C4⋊C4—21no—
334C2×C4⋊C4—21no—
335C2×C4⋊C4—21no—
336C2×C4⋊C4—21no—
337C2×C4⋊C4—21no—
338C2×C4⋊C4—21no—
339C2×C4⋊C4—21no—
340C2×C4⋊C4—21no—
341C2×C4⋊C4—22no—
342C2×C4⋊C4—22no—
343C2×C4⋊C4—21no—
344C2×C4⋊C4—21no—
345C2×C4⋊C4—22no—
346C2×C4⋊C4—22no—
347C2×C4⋊C4—21no—
348C2×C4⋊C4—21no—
349C2×C4⋊C4—21no—
350C2×C4⋊C4—21no—
351C2×C4⋊C4—22no—
352C2×C4⋊C4—22no—
353C2×C4⋊C4—22no—
354C2×C4⋊C4—22no—
355C2×C4⋊C4—22no—
356C2×C4⋊C4—22no—
357C2×C4⋊C4—22no—
358C2×C4⋊C4—22no—
359C2×C4⋊C4—44no—
360C2×C4⋊C4—82no—
361C2×C4⋊C4—82no—
362C2×C4⋊C4—82no—
363C2×C4⋊C4—82no—
364C2×C4⋊C4C2×D411yescharacteristic
365C2×C4⋊C4C2×D411yescharacteristic
366C2×C4⋊C4C2×D411yescharacteristic
367C2×C4⋊C4C2×D411yescharacteristic
368C2×C4⋊C4C2×D411yescharacteristic
369C2×C4⋊C4C2×D411yescharacteristic
370C2×C4⋊C4C2412yes—
371C2×C4⋊C4C2412yes—
372C2×C4⋊C4C2412yes—
373C2×C4⋊C4C2412yes—
374C2×C4⋊C4C2412yes—
375C2×C4⋊C4C2412yes—
376C2×C4⋊C4C2412yes—
377C2×C4⋊C4C2412yes—
378C2×C22⋊C4—22no—
379C2×C22⋊C4—22no—
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⋊C4C2×D411yescharacteristic
389C2×C22⋊C4C2×D411yescharacteristic
390C2×C22⋊C4C2×D411yescharacteristic
391C2×C22⋊C4C2×D411yescharacteristic
392C2×C22⋊C4C2×D411yescharacteristic
393C2×C22⋊C4C2×D411yescharacteristic
394C2×C42—22no—
395C2×C42—22no—
396C2×C42—22no—
397C2×C42—22no—
398C2×C42—22no—
399C2×C42—22no—
400C2×C42—22no—
401C2×C42—22no—
402C2×C42—22no—
403C2×C42—22no—
404C2×C42C2×D411yescharacteristic
405C2×C42C2×D411yescharacteristic
406C2×C42C2×D411yescharacteristic
407C2×C42C2×D411yescharacteristic
408C2×C42C2×D411yescharacteristic
409C2×C42C2×D411yescharacteristic
410C2×C42#4114yes—
411C2×C42#4114yes—
412C2×C42C2411yescharacteristic
413C2×C42C2411yescharacteristic
414C2×C42C2411yescharacteristic
415C2×C42C2411yescharacteristic
416#107—44no—
417#107—44no—
418#106—44no—
419#106—44no—
420C4⋊C8—24no—
421C4⋊C8—24no—
422C22⋊C8—24no—
423C22⋊C8—24no—
424C22⋊C8—24no—
425C22⋊C8—24no—
426C22⋊C8—42no—
427C22⋊C8—42no—
428C4×C8—22no—
429C4×C8—22no—
430C4×C8—22no—
431C4×C8—22no—
432#95—22no—
433#95—22no—
434#95—22no—
435#95—22no—
436#95—22no—
437#95—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—
450C24C22×D411yescharacteristic
451C24C22×D411yescharacteristic
452C24C22×D411yescharacteristic
453#41—48no—
454#41—48no—
455C2×Q8—22no—
456C2×Q8—22no—
457C2×Q8—41no—
458C2×Q8—42no—
459C2×Q8—42no—
460C2×Q8—42no—
461C2×Q8—42no—
462C2×Q8—42no—
463C2×Q8—42no—
464C2×D4—22no—
465C2×D4—22no—
466C2×D4—22no—
467C2×D4—22no—
468C2×D4—22no—
469C2×D4—22no—
470C2×D4—41no—
471C2×D4—41no—
472C2×D4—41no—
473C22×C4—22no—
474C22×C4—22no—
475C22×C4—22no—
476C22×C4—22no—
477C22×C4—21no—
478C22×C4—21no—
479C22×C4—22no—
480C22×C4—22no—
481C22×C4—22no—
482C22×C4—22no—
483C22×C4—22no—
484C22×C4—22no—
485C22×C4—22no—
486C22×C4—22no—
487C22×C4—22no—
488C22×C4—22no—
489C22×C4—22no—
490C22×C4—22no—
491C22×C4—22no—
492C22×C4—22no—
493C22×C4—22no—
494C22×C4—21no—
495C22×C4—21no—
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—22no—
505C22×C4—22no—
506C22×C4—44no—
507C22×C4—44no—
508C22×C4—82no—
509C22×C4—82no—
510C22×C4—82no—
511C22×C4—82no—
512C22×C4#12314yes—
513C22×C4#12314yes—
514C22×C4C22×D411yescharacteristic
515C22×C4C22×D411yescharacteristic
516C22×C4C22×D411yescharacteristic
517C22×C4C22×D411yescharacteristic
518C22×C4C22×D411yescharacteristic
519C22×C4C22×D411yescharacteristic
520C22×C4C22×D411yescharacteristic
521C22×C4C22×D411yescharacteristic
522C22×C4C22×D411yescharacteristic
523C22×C4C22×D411yescharacteristic
524C22×C4C22×D411yescharacteristic
525C22×C4C2×#4112yes—
526C22×C4C2×#4112yes—
527C22×C42−1+414yes—
528C22×C4C2511yescharacteristic
529C2×C8—22no—
530C2×C8—22no—
531C2×C8—22no—
532C2×C8—22no—
533C2×C8—22no—
534C2×C8—22no—
535C2×C8—22no—
536C2×C8—22no—
537C2×C8—22no—
538C2×C8—22no—
539C2×C8—22no—
540C2×C8—22no—
541C4⋊C4—22no—
542C4⋊C4—22no—
543C4⋊C4—22no—
544C4⋊C4—22no—
545C4⋊C4—22no—
546C4⋊C4—22no—
547C4⋊C4—22no—
548C4⋊C4—22no—
549C4⋊C4—22no—
550C4⋊C4—22no—
551C4⋊C4—24no—
552C4⋊C4—24no—
553C4⋊C4—24no—
554C4⋊C4—24no—
555C4⋊C4—24no—
556C4⋊C4—24no—
557C4⋊C4—44no—
558C4⋊C4—44no—
559C4⋊C4—44no—
560C4⋊C4—42no—
561C4⋊C4—42no—
562C4⋊C4—44no—
563C4⋊C4—42no—
564C4⋊C4—42no—
565C4⋊C4—42no—
566C4⋊C4—42no—
567C4⋊C4—42no—
568C4⋊C4—42no—
569C4⋊C4—42no—
570C4⋊C4—42no—
571C4⋊C4—42no—
572C4⋊C4—42no—
573C4⋊C4—42no—
574C4⋊C4—42no—
575C4⋊C4—82no—
576C4⋊C4—82no—
577C4⋊C4—82no—
578C4⋊C4—82no—
579C4⋊C4—82no—
580C4⋊C4—82no—
581C4⋊C4—82no—
582C4⋊C4—82no—
583C22⋊C4—22no—
584C22⋊C4—22no—
585C22⋊C4—22no—
586C22⋊C4—22no—
587C22⋊C4—22no—
588C22⋊C4—22no—
589C22⋊C4—44no—
590C22⋊C4—44no—
591C22⋊C4—82no—
592C22⋊C4—82no—
593C22⋊C4—82no—
594C22⋊C4—82no—
595C22⋊C4—82no—
596C22⋊C4—82no—
597C22⋊C4—82no—
598C22⋊C4—82no—
599C42—22no—
600C42—22no—
601C42—22no—
602C42—22no—
603C42—21no—
604C42—21no—
605C42—21no—
606C42—21no—
607C42—44no—
608C42—44no—
609C42—82no—
610C42—82no—
611C42—82no—
612C42—82no—
613C42#12314yes—
614C42#12314yes—
615C42C2×#4112yes—
616C42C2×#4112yes—
617C42C2×#4112yes—
618C42C2×#4112yes—
619C23—21no—
620C23—21no—
621C23—21no—
622C23—21no—
623C23—21no—
624C23—21no—
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—
638C23C2×#12312yes—
639C23#53612yes—
640C23C23×D411yescharacteristic
641Q8—44no—
642Q8—84no—
643Q8—84no—
644D4—44no—
645D4—44no—
646D4—44no—
647C2×C4—21no—
648C2×C4—21no—
649C2×C4—21no—
650C2×C4—21no—
651C2×C4—21no—
652C2×C4—21no—
653C2×C4—21no—
654C2×C4—21no—
655C2×C4—28no—
656C2×C4—28no—
657C2×C4—24no—
658C2×C4—24no—
659C2×C4—24no—
660C2×C4—24no—
661C2×C4—21no—
662C2×C4—21no—
663C2×C4—21no—
664C2×C4—21no—
665C2×C4—21no—
666C2×C4—21no—
667C2×C4—21no—
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—44no—
677C2×C4—44no—
678C2×C4—44no—
679C2×C4—44no—
680C2×C4—42no—
681C2×C4—42no—
682C2×C4—42no—
683C2×C4—42no—
684C2×C4—42no—
685C2×C4—42no—
686C2×C4—42no—
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—164no—
707C2×C4—164no—
708C2×C4C2×#12312yes—
709C2×C4C2×#12312yes—
710C2×C4C2×#12312yes—
711C2×C4C2×#12312yes—
712C2×C4C2×#12312yes—
713C2×C4#53612yes—
714C2×C4#57612yes—
715C2×C4#57712yes—
716C2×C4#57712yes—
717C2×C4#57812yes—
718C2×C4C22×#4111yescharacteristic
719C2×C4C22×#4111yescharacteristic
720C2×C4C2×2−1+412yes—
721C2×C4#58512yes—
722C8—42no—
723C8—42no—
724C8—42no—
725C8—42no—
726C22—22no—
727C22—22no—
728C22—22no—
729C22—22no—
730C22—22no—
731C22—22no—
732C22—41no—
733C22—41no—
734C22—41no—
735C22—41no—
736C22—41no—
737C22—41no—
738C22—41no—
739C22—41no—
740C22—41no—
741C22—41no—
742C22—41no—
743C22—41no—
744C22—41no—
745C22—41no—
746C22—41no—
747C22C22×#12311yescharacteristic
748C22C2×#53611yescharacteristic
749C22#344911yescharacteristic
750C22C2×#57611yescharacteristic
751C22C2×#57711yescharacteristic
752C22C2×#57711yescharacteristic
753C22C2×#57811yescharacteristic
754C4—22no—
755C4—22no—
756C4—22no—
757C4—22no—
758C4—41no—
759C4—41no—
760C4—41no—
761C4—41no—
762C4—41no—
763C4—82no—
764C4—82no—
765C4—82no—
766C4—82no—
767C4—82no—
768C4—82no—
769C4—82no—
770C4—82no—
771C4#309814yes—
772C4#309914yes—
773C4#349512yes—
774C4#349512yes—
775C2—42no—
776C2—42no—
777C2—81no—
778C2#3531111yescharacteristic
779C2C2×#309811yescharacteristic
780C2C2×#309911yescharacteristic
781C2#6087711yescharacteristic
782C2#6087811yescharacteristic
783C2#6100611yescharacteristic
784C2#6100811yescharacteristic
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. #33158C2semidirect
4. #29946C2semidirect
5. #27961C2semidirect
6. #27960C2semidirect
7. #27949C2semidirect
8. #27949C2semidirect
9. #27878C2semidirect
10. #27877C2semidirect
11. #27876C2semidirect
12. #27875C2semidirect
13. #27623C2semidirect
15. #21982C2semidirect
16. #21981C2semidirect
17. #21835C2semidirect
18. #21835C2semidirect

Maximal subgroups

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

subgroupindex
#352802
#341882
#331582
#299462
#279612
#279602
#279492
#278782
#278772
#278762
#278752
#276232
#276062
#219822
#219812
#218352
#207182