Finite Group Databasebeta

← #6763603

Subgroups — #6763603

Order 512.

1584 conjugacy classes of subgroups.

The subgroup lattice has 767 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#36180C211yesmaximal, characteristic
2#36151C211yesmaximal, characteristic
3#33049C211yesmaximal, characteristic, complemented
4#31758C214yesmaximal, complemented
5#31476C214yesmaximal, complemented
6#30205C211yesmaximal, characteristic, complemented
7#29876C211yesmaximal, characteristic, complemented
8#29218C211yesmaximal, characteristic, complemented
9#28656C211yesmaximal, characteristic, complemented
10#27972C211yesmaximal, characteristic, complemented
11#27960C211yesmaximal, characteristic, complemented
12#26431C214yesmaximal, complemented
13#26216C214yesmaximal
14#25812C211yesmaximal, characteristic, complemented
15#25672C211yesmaximal, characteristic, complemented
16#22246C211yesmaximal, characteristic, complemented
17#21860C211yesmaximal, characteristic, complemented
18#21322C211yesmaximal, characteristic, complemented
19#21102C211yesmaximal, characteristic
20C2×#554—21no—
21C2×#533C2211yescharacteristic
22C2×#533C2211yescharacteristic
23C2×#500C2211yescharacteristic
24C2×#498C2211yescharacteristic
25C2×#487C2211yescharacteristic
26C2×#431C2211yescharacteristic
27C2×C4×M16C2211yescharacteristic
28#2868C2211yescharacteristic
29#2862C2211yescharacteristic
30#2857C2211yescharacteristic
31#2857C2211yescharacteristic
32#2857C2211yescharacteristic
33#2857C2211yescharacteristic
34#2567—21no—
35#2552—21no—
36#2552C2212yes—
37#2536—21no—
38#2502—21no—
39#2502—21no—
40#2489—21no—
41#2489C2212yes—
42#2453—21no—
43#2453C2212yes—
44#2440—21no—
45#2440—21no—
46#2440C2212yes—
47#2440C2212yes—
48#2421—21no—
49#2421—21no—
50#2415—21no—
51#2415C2212yes—
52#2362—21no—
53#2362C2212yes—
54#2351—21no—
55D4×C4⋊C4—21no—
56D4×C4⋊C4C2212yes—
57C4×C4⋊Q8C2211yescharacteristic
58C4×C4⋊Q8C2211yescharacteristic
59C2×#384C2211yescharacteristic
60C2×#384C2211yescharacteristic
61C42×D4C2211yescharacteristic
62#2100C2214yes—
63#2099C2214yes—
64#2086C2214yes—
65#2075C2214yes—
66#2072C2214yes—
67#2072C2214yes—
68#2068C2214yes—
69#2059C2214yes—
70#2035C2214yes—
71#2024C2214yes—
72#1992C2214yes—
73#1990C2211yescharacteristic
74#1990C2211yescharacteristic
75#1990C2211yescharacteristic
76#1990C2211yescharacteristic
77#1990C2211yescharacteristic
78#1990C2211yescharacteristic
79#1990C2211yescharacteristic
80#1987C2214yes—
81#1956C2211yescharacteristic
82#1956C2211yescharacteristic
83#1956C2211yescharacteristic
84#1935C2214yes—
85#1928C2214yes—
86#1924C2212yes—
87#1920C2214yes—
88#1919C2214yes—
89#1917C2212yes—
90#1894C2214yes—
91#1872C2214yes—
92#1872C2214yes—
93#1870C2212yes—
94#1865C2214yes—
95#1854C2214yes—
96#1851C2212yes—
97#1834C2211yescharacteristic
98#1834C2211yescharacteristic
99#1834C2211yescharacteristic
100#1823C2214yes—
101#1803C2214yes—
102C4×C4⋊C8C2211yescharacteristic
103C4×C22⋊C8C2211yescharacteristic
104C4×C22⋊C8C2211yescharacteristic
105#1744C2211yescharacteristic
106#1736C2214yes—
107C22×M16C2312yes—
108#554—48no—
109#533—24no—
110#533—24no—
111#533—42no—
112#533—42no—
113C2×C4⋊Q8—21no—
114C2×C4⋊Q8—21no—
115C2×C4⋊Q8C2311yescharacteristic
116C2×C4⋊Q8C2311yescharacteristic
117C2×C4⋊Q8C2311yescharacteristic
118C2×C4⋊Q8C2311yescharacteristic
119C2×C4⋊Q8C2312yes—
120C2×#125—22no—
121C2×#125—21no—
122C2×#125C2312yes—
123C2×C22⋊Q8—21no—
124C2×C22⋊Q8—21no—
125C2×C22⋊Q8—21no—
126C2×C22⋊Q8—21no—
127C2×C22⋊Q8—21no—
128C2×C22⋊Q8—21no—
129C2×C22⋊Q8—22no—
130C2×C22⋊Q8—22no—
131C2×C22⋊Q8C2312yes—
132C2×C22⋊Q8C2312yes—
133C2×C4×Q8—21no—
134C2×C4×Q8—21no—
135C2×C4×Q8—21no—
136C2×C4×Q8—21no—
137C2×C4×Q8—21no—
138C2×C4×Q8C2312yes—
139C2×C4×D4—22no—
140C2×C4×D4D411yescharacteristic
141C2×C4×D4D411yescharacteristic
142C2×C4×D4C2311yescharacteristic
143C2×#117—21no—
144C2×#117C2312yes—
145C22×C4⋊C4—21no—
146C22×C4⋊C4—21no—
147C22×C4⋊C4—21no—
148C22×C4⋊C4—21no—
149C22×C4⋊C4C2312yes—
150C22×C4⋊C4C2312yes—
151C22×C42C2311yescharacteristic
152C22×C42C2311yescharacteristic
153#500—42no—
154#498—24no—
155#487—42no—
156#431—42no—
157C2×#107C2314yes—
158C2×#106C2314yes—
159C2×C4⋊C8C2312yes—
160C2×C4⋊C8C2312yes—
161C2×#103C2314yes—
162C2×#103C2314yes—
163C2×#103C2314yes—
164C2×#103C2314yes—
165C2×C22⋊C8C2312yes—
166C2×C22⋊C8C2312yes—
167C2×C22⋊C8C2312yes—
168C4×M16—42no—
169C2×#97C2312yes—
170C2×C4×C8C2311yescharacteristic
171C2×C4×C8C2311yescharacteristic
172C2×C4×C8C2311yescharacteristic
173C2×C4×C8C2311yescharacteristic
174#400—22no—
175#400—22no—
176#398—22no—
177#398—22no—
178#398—22no—
179#398—22no—
180#398—22no—
181#397—22no—
182#397—22no—
183#395—22no—
184#395—22no—
185#394—22no—
186#391—21no—
187#391—21no—
188#391—21no—
189#391—21no—
190#391—21no—
191#391—21no—
192#391—21no—
193#391C2312yes—
194#391C2312yes—
195#391C2312yes—
196#389—22no—
197#389—22no—
198#389—22no—
199#389—22no—
200#389—21no—
201#389—21no—
202#389—21no—
203#389—21no—
204#389—21no—
205#389—21no—
206#389—21no—
207#389C2312yes—
208#389C2312yes—
209#389C2312yes—
210#389C2312yes—
211#389C2312yes—
212#388—22no—
213#388—22no—
214#388—22no—
215#388—22no—
216#387—22no—
217#387—22no—
218#385—22no—
219#385—22no—
220#385—22no—
221#385—22no—
222#384—21no—
223#384—21no—
224#384—21no—
225#384—21no—
226#384—21no—
227#384—21no—
228#384C2311yescharacteristic
229#384C2311yescharacteristic
230#384C2312yes—
231#384C2312yes—
232#384C2312yes—
233#384C2311yescharacteristic
234#384C2311yescharacteristic
235#382—21no—
236#382—21no—
237#382—22no—
238#380—21no—
239#380—21no—
240#380—21no—
241#380—21no—
242#380—21no—
243#380C2312yes—
244#380C2312yes—
245#380C2312yes—
246C4×C4⋊C4—21no—
247C4×C4⋊C4—21no—
248C4×C4⋊C4—22no—
249C4×C4⋊C4D411yescharacteristic
250C4×C4⋊C4D411yescharacteristic
251C4×C4⋊C4C2312yes—
252C4×C4⋊C4C2312yes—
253C4×C4⋊C4C2311yescharacteristic
254C4×C22⋊C4D411yescharacteristic
255C4×C22⋊C4D411yescharacteristic
256C4×C22⋊C4D411yescharacteristic
257C4×C22⋊C4D411yescharacteristic
258C4×C22⋊C4C2311yescharacteristic
259C4×C22⋊C4C2311yescharacteristic
260C43C2311yescharacteristic
261#340C2314yes—
262#340C2314yes—
263#340C2314yes—
264#340C2314yes—
265#340C2314yes—
266#340C2314yes—
267#340C2314yes—
268#340C2314yes—
269#340C2314yes—
270#340C2314yes—
271#336C2312yes—
272#336C2312yes—
273#336C2312yes—
274#336C2312yes—
275#336C2312yes—
276C22×Q8—21no—
277C22×Q8—21no—
278C22×Q8—21no—
279C22×Q8—22no—
280C22×Q8C2412yes—
281C22×D4C2×D411yescharacteristic
282C23×C4—22no—
283C23×C4—22no—
284C23×C4C2×D411yescharacteristic
285C23×C4C2×D411yescharacteristic
286C23×C4C2×D411yescharacteristic
287C23×C4C2×D411yescharacteristic
288C23×C4C2411yescharacteristic
289C23×C4C2411yescharacteristic
290C2×M16—24no—
291C2×M16—42no—
292C2×M16—42no—
293C22×C8C2412yes—
294C22×C8C2412yes—
295C22×C8C2412yes—
296C22×C8C2412yes—
297C4⋊Q8—22no—
298C4⋊Q8—22no—
299C4⋊Q8—22no—
300C4⋊Q8—22no—
301C4⋊Q8—22no—
302C4⋊Q8—22no—
303C4⋊Q8—22no—
304C4⋊Q8—44no—
305C4⋊Q8—44no—
306C4⋊Q8—82no—
307C4⋊Q8#4114yes—
308#125—24no—
309#125—42no—
310#125—44no—
311#125—48no—
312C22⋊Q8—28no—
313C22⋊Q8—24no—
314C22⋊Q8—48no—
315C22⋊Q8—48no—
316C22⋊Q8—42no—
317C22⋊Q8—44no—
318C22⋊Q8—44no—
319C22⋊Q8—44no—
320C22⋊Q8—44no—
321C22⋊Q8—44no—
322C22⋊Q8—44no—
323C4×Q8—24no—
324C4×Q8—42no—
325C4×Q8—44no—
326C4×Q8—44no—
327C4×Q8—44no—
328C4×Q8—44no—
329C4×Q8—44no—
330C4×D4—24no—
331C4×D4—24no—
332C4×D4—24no—
333C4×D4—48no—
334#117—24no—
335#117—42no—
336#117—44no—
337C2×C4⋊C4—21no—
338C2×C4⋊C4—21no—
339C2×C4⋊C4—21no—
340C2×C4⋊C4—22no—
341C2×C4⋊C4—22no—
342C2×C4⋊C4—21no—
343C2×C4⋊C4—21no—
344C2×C4⋊C4—21no—
345C2×C4⋊C4—21no—
346C2×C4⋊C4—21no—
347C2×C4⋊C4—22no—
348C2×C4⋊C4—22no—
349C2×C4⋊C4—22no—
350C2×C4⋊C4—22no—
351C2×C4⋊C4—21no—
352C2×C4⋊C4—21no—
353C2×C4⋊C4—22no—
354C2×C4⋊C4—21no—
355C2×C4⋊C4—22no—
356C2×C4⋊C4—22no—
357C2×C4⋊C4—22no—
358C2×C4⋊C4—22no—
359C2×C4⋊C4—21no—
360C2×C4⋊C4—22no—
361C2×C4⋊C4—22no—
362C2×C4⋊C4—21no—
363C2×C4⋊C4—22no—
364C2×C4⋊C4—22no—
365C2×C4⋊C4—22no—
366C2×C4⋊C4—22no—
367C2×C4⋊C4—22no—
368C2×C4⋊C4—22no—
369C2×C4⋊C4—44no—
370C2×C4⋊C4—44no—
371C2×C4⋊C4—44no—
372C2×C4⋊C4—44no—
373C2×C4⋊C4—82no—
374C2×C4⋊C4—82no—
375C2×C4⋊C4C2×D411yescharacteristic
376C2×C4⋊C4C2×D411yescharacteristic
377C2×C4⋊C4C2×D411yescharacteristic
378C2×C4⋊C4C2412yes—
379C2×C4⋊C4C2412yes—
380C2×C4⋊C4C2412yes—
381C2×C4⋊C4C2412yes—
382C2×C4⋊C4C2412yes—
383C2×C4⋊C4C2412yes—
384C2×C4⋊C4C2412yes—
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×C42C2×D411yescharacteristic
406C2×C42C2×D411yescharacteristic
407C2×C42C2×D411yescharacteristic
408C2×C42C2×D411yescharacteristic
409C2×C42C2×D411yescharacteristic
410C2×C42C2×D411yescharacteristic
411C2×C42C2×D411yescharacteristic
412C2×C42C2×D411yescharacteristic
413C2×C42C2411yescharacteristic
414C2×C42C2411yescharacteristic
415C2×C42C2411yescharacteristic
416C2×C42C2411yescharacteristic
417C2×C42C2411yescharacteristic
418#107—44no—
419#106—28no—
420C4⋊C8—42no—
421C4⋊C8—42no—
422#103—44no—
423#103—44no—
424#103—44no—
425#103—44no—
426C22⋊C8—24no—
427C22⋊C8—42no—
428C22⋊C8—42no—
429#97—42no—
430C4×C8—22no—
431C4×C8—22no—
432C4×C8—22no—
433C4×C8—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—
450#95C2×D411yescharacteristic
451#95C2×D411yescharacteristic
452#95C2×D411yescharacteristic
453#95C2×D411yescharacteristic
454#95C2×D411yescharacteristic
455#95C2×D411yescharacteristic
456C24C22×D411yescharacteristic
457C24C22×D411yescharacteristic
458C2×Q8—24no—
459C2×Q8—22no—
460C2×Q8—22no—
461C2×Q8—24no—
462C2×Q8—24no—
463C2×Q8—44no—
464C2×Q8—42no—
465C2×Q8—42no—
466C2×Q8—42no—
467C2×Q8—42no—
468C2×Q8—42no—
469C2×Q8—42no—
470C2×Q8—42no—
471C2×Q8—42no—
472C2×Q8—82no—
473C2×Q8—82no—
474C2×D4—22no—
475C2×D4—22no—
476C2×D4—22no—
477C22×C4—22no—
478C22×C4—22no—
479C22×C4—21no—
480C22×C4—21no—
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—21no—
493C22×C4—21no—
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—44no—
504C22×C4—44no—
505C22×C4—82no—
506C22×C4—82no—
507C22×C4—82no—
508C22×C4—82no—
509C22×C4AGL(1,ℤ/8)14yes—
510C22×C4C22×D411yescharacteristic
511C22×C4C22×D411yescharacteristic
512C22×C4C22×D411yescharacteristic
513C22×C4C22×D411yescharacteristic
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×C42−1+414yes—
523C22×C4C2511yescharacteristic
524M16—48no—
525C2×C8—22no—
526C2×C8—22no—
527C2×C8—22no—
528C2×C8—22no—
529C2×C8—22no—
530C2×C8—22no—
531C2×C8—22no—
532C2×C8—22no—
533C2×C8—22no—
534C2×C8—22no—
535C2×C8—22no—
536C2×C8—22no—
537C4⋊C4—22no—
538C4⋊C4—24no—
539C4⋊C4—22no—
540C4⋊C4—22no—
541C4⋊C4—22no—
542C4⋊C4—22no—
543C4⋊C4—22no—
544C4⋊C4—22no—
545C4⋊C4—22no—
546C4⋊C4—24no—
547C4⋊C4—24no—
548C4⋊C4—24no—
549C4⋊C4—24no—
550C4⋊C4—44no—
551C4⋊C4—44no—
552C4⋊C4—44no—
553C4⋊C4—44no—
554C4⋊C4—44no—
555C4⋊C4—44no—
556C4⋊C4—44no—
557C4⋊C4—44no—
558C4⋊C4—44no—
559C4⋊C4—42no—
560C4⋊C4—42no—
561C4⋊C4—42no—
562C4⋊C4—42no—
563C4⋊C4—42no—
564C4⋊C4—44no—
565C4⋊C4—42no—
566C4⋊C4—42no—
567C4⋊C4—42no—
568C4⋊C4—44no—
569C4⋊C4—44no—
570C4⋊C4—44no—
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⋊C4C2×#4114yes—
582C22⋊C4—22no—
583C22⋊C4—22no—
584C22⋊C4—22no—
585C22⋊C4—22no—
586C22⋊C4—22no—
587C22⋊C4—22no—
588C22⋊C4—44no—
589C22⋊C4—44no—
590C22⋊C4—44no—
591C22⋊C4—44no—
592C22⋊C4—44no—
593C22⋊C4—44no—
594C42—22no—
595C42—22no—
596C42—22no—
597C42—22no—
598C42—22no—
599C42—22no—
600C42—22no—
601C42—21no—
602C42—21no—
603C42—21no—
604C42—21no—
605C42—22no—
606C42—22no—
607C42—44no—
608C42—44no—
609C42—44no—
610C42—44no—
611C42#13714yes—
612C42C2×#4112yes—
613C42H(5,𝔽2)12yes—
614C23—21no—
615C23—21no—
616C23—21no—
617C23—21no—
618C23—21no—
619C23—21no—
620C23—21no—
621C23—21no—
622C23—21no—
623C23—21no—
624C23—21no—
625C23—21no—
626C23#53612yes—
627C23C2×AGL(1,ℤ/8)12yes—
628C23C23×D411yescharacteristic
629Q8—48no—
630Q8—44no—
631Q8—44no—
632Q8—84no—
633Q8—84no—
634Q8—164no—
635D4—28no—
636C2×C4—21no—
637C2×C4—21no—
638C2×C4—21no—
639C2×C4—21no—
640C2×C4—21no—
641C2×C4—21no—
642C2×C4—21no—
643C2×C4—21no—
644C2×C4—24no—
645C2×C4—24no—
646C2×C4—28no—
647C2×C4—21no—
648C2×C4—21no—
649C2×C4—21no—
650C2×C4—21no—
651C2×C4—21no—
652C2×C4—21no—
653C2×C4—24no—
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—21no—
663C2×C4—21no—
664C2×C4—21no—
665C2×C4—21no—
666C2×C4—42no—
667C2×C4—42no—
668C2×C4—44no—
669C2×C4—44no—
670C2×C4—42no—
671C2×C4—42no—
672C2×C4—44no—
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—42no—
688C2×C4—42no—
689C2×C4—42no—
690C2×C4—42no—
691C2×C4—42no—
692C2×C4—42no—
693C2×C4—42no—
694C2×C4—164no—
695C2×C4—164no—
696C2×C4#53612yes—
697C2×C4#54612yes—
698C2×C4#54612yes—
699C2×C4C2×AGL(1,ℤ/8)12yes—
700C2×C4C2×AGL(1,ℤ/8)12yes—
701C2×C4C2×#13712yes—
702C2×C4C2×#13712yes—
703C2×C4C2×#13712yes—
704C2×C4#57712yes—
705C2×C4#57812yes—
706C2×C4C22×#4111yescharacteristic
707C2×C4C2×H(5,𝔽2)11yescharacteristic
708C2×C4C2×2−1+412yes—
709C2×C4#58512yes—
710C8—42no—
711C8—42no—
712C8—42no—
713C8—42no—
714C22—22no—
715C22—22no—
716C22—22no—
717C22—22no—
718C22—22no—
719C22—22no—
720C22—41no—
721C22—41no—
722C22—41no—
723C22—41no—
724C22—41no—
725C22—41no—
726C22—41no—
727C22—41no—
728C22C2×#53611yescharacteristic
729C22C2×#54611yescharacteristic
730C22#350011yescharacteristic
731C22C22×AGL(1,ℤ/8)11yescharacteristic
732C22C22×#13711yescharacteristic
733C22C2×#57711yescharacteristic
734C22C2×#57811yescharacteristic
735C4—22no—
736C4—22no—
737C4—22no—
738C4—22no—
739C4—41no—
740C4—41no—
741C4—41no—
742C4—41no—
743C4—41no—
744C4—41no—
745C4—44no—
746C4—82no—
747C4—82no—
748C4—82no—
749C4—82no—
750C4—82no—
751C4—82no—
752C4—82no—
753C4#330814yes—
754C4#333114yes—
755C4#351612yes—
756C4#354112yes—
757C2—42no—
758C2—42no—
759C2#3808311yescharacteristic
760C2#6086011yescharacteristic
761C2#6087811yescharacteristic
762C2C2×#330811yescharacteristic
763C2C2×#333111yescharacteristic
764C2#6253611yescharacteristic
765C2#6253911yescharacteristic
subgroupG/H
center, socleC23C23×D4
commutator, Frattini, cosocleC22×C4C25
prime radicalC22×D4C2×D4
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C23 ◁ C42×D4 ◁ G
LECSG ▷ C22×C4 ▷ C2 ▷ C1

Complements

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

NH ≅ G/Ntype
3. #33049C2semidirect
4. #31758C2semidirect
5. #31476C2semidirect
6. #30205C2semidirect
7. #29876C2semidirect
8. #29218C2semidirect
9. #28656C2semidirect
10. #27972C2semidirect
11. #27960C2semidirect
12. #26431C2semidirect
14. #25812C2semidirect
15. #25672C2semidirect
16. #22246C2semidirect
17. #21860C2semidirect
18. #21322C2semidirect

Maximal subgroups

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

subgroupindex
#361802
#361512
#330492
#317582
#314762
#302052
#298762
#292182
#286562
#279722
#279602
#264312
#262162
#258122
#256722
#222462
#218602
#213222
#211022