Finite Group Databasebeta

← #6766305

Subgroups — #6766305

Order 512.

1655 conjugacy classes of subgroups.

The subgroup lattice has 797 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#36187C211yesmaximal, characteristic
2#36151C211yesmaximal, characteristic, complemented
3#33042C211yesmaximal, characteristic, complemented
4#32117C214yesmaximal, complemented
5#31393C214yesmaximal, complemented
6#30205C211yesmaximal, characteristic, complemented
7#29807C211yesmaximal, characteristic, complemented
8#29218C211yesmaximal, characteristic, complemented
9#28613C211yesmaximal, characteristic, complemented
10#27892C211yesmaximal, characteristic, complemented
11#27877C211yesmaximal, characteristic, complemented
12#27429C214yesmaximal, complemented
13#26733C214yesmaximal, complemented
14#25905C211yesmaximal, characteristic, complemented
15#25598C211yesmaximal, characteristic, complemented
16#22220C211yesmaximal, characteristic, complemented
17#21835C211yesmaximal, characteristic, complemented
18#21400C211yesmaximal, characteristic, complemented
19#21101C211yesmaximal, characteristic, complemented
20C2×#555—21no—
21C2×#533C2211yescharacteristic
22C2×#533C2211yescharacteristic
23C2×#492C2211yescharacteristic
24C2×#486C2211yescharacteristic
25C2×#486C2211yescharacteristic
26C2×#431C2211yescharacteristic
27C22×C4×C8C2211yescharacteristic
28#2868C2211yescharacteristic
29#2862C2211yescharacteristic
30#2857C2211yescharacteristic
31#2857C2211yescharacteristic
32#2856C2211yescharacteristic
33#2856C2211yescharacteristic
34#2563—21no—
35#2537—21no—
36#2537C2212yes—
37#2536—21no—
38#2500—21no—
39#2500—21no—
40#2491—21no—
41#2491—21no—
42#2491C2212yes—
43#2491C2212yes—
44#2489—21no—
45#2489C2212yes—
46#2453—21no—
47#2453C2212yes—
48#2421—21no—
49#2421—21no—
50#2415—21no—
51#2415C2212yes—
52#2362—21no—
53#2362C2212yes—
54#2354—21no—
55#2354C2212yes—
56#2351—21no—
57C4×C4⋊Q8C2211yescharacteristic
58C4×#127C2211yescharacteristic
59#2285C2211yescharacteristic
60#2285C2211yescharacteristic
61C42×D4C2211yescharacteristic
62#2100C2214yes—
63#2075C2214yes—
64#2072C2214yes—
65#2055C2214yes—
66#2055C2214yes—
67#2036C2214yes—
68#2025C2214yes—
69#2024C2214yes—
70#2000C2214yes—
71#2000C2214yes—
72#1990C2211yescharacteristic
73#1990C2211yescharacteristic
74#1990C2211yescharacteristic
75#1990C2211yescharacteristic
76#1990C2211yescharacteristic
77#1990C2211yescharacteristic
78#1989C2214yes—
79#1987C2214yes—
80#1957C2211yescharacteristic
81#1956C2211yescharacteristic
82#1956C2211yescharacteristic
83#1956C2211yescharacteristic
84#1934C2214yes—
85#1928C2214yes—
86#1925C2214yes—
87#1923C2212yes—
88#1918C2214yes—
89#1916C2212yes—
90#1893C2214yes—
91#1892C2214yes—
92#1880C2214yes—
93#1877C2214yes—
94#1875C2214yes—
95#1869C2212yes—
96#1862C2214yes—
97#1850C2212yes—
98#1845C2211yescharacteristic
99#1834C2211yescharacteristic
100#1834C2211yescharacteristic
101#1825C2214yes—
102C4×C4⋊C8C2211yescharacteristic
103C4×#103C2214yes—
104C4×C22⋊C8C2211yescharacteristic
105C4×C22⋊C8C2211yescharacteristic
106#1744C2211yescharacteristic
107C22×SD16C2314yes—
108C23×C8C2312yes—
109#555—48no—
110#533—24no—
111#533—24no—
112#533—42no—
113#533—42no—
114C2×C4⋊Q8—21no—
115C2×C4⋊Q8—21no—
116C2×C4⋊Q8C2311yescharacteristic
117C2×C4⋊Q8C2311yescharacteristic
118C2×C4⋊Q8C2311yescharacteristic
119C2×C4⋊Q8C2312yes—
120C2×#127C2311yescharacteristic
121C2×#125—21no—
122C2×#125C2312yes—
123C2×#124—22no—
124C2×#124—22no—
125C2×C22⋊Q8—21no—
126C2×C22⋊Q8—21no—
127C2×C22⋊Q8—21no—
128C2×C22⋊Q8—21no—
129C2×C22⋊Q8C2312yes—
130C2×C22⋊Q8C2312yes—
131C2×#121—22no—
132C2×#121—21no—
133C2×#121—21no—
134C2×#121—21no—
135C2×#121—21no—
136C2×#121C2312yes—
137C2×#121C2312yes—
138C2×C4×Q8—21no—
139C2×C4×Q8—21no—
140C2×C4×Q8—21no—
141C2×C4×Q8—21no—
142C2×C4×Q8C2312yes—
143C2×C4×D4—21no—
144C2×C4×D4—21no—
145C2×C4×D4D411yescharacteristic
146C2×C4×D4D411yescharacteristic
147C2×C4×D4C2312yes—
148C2×C4×D4C2311yescharacteristic
149C2×#117—21no—
150C2×#117—21no—
151C2×#117—21no—
152C2×#117—22no—
153C2×#117C2312yes—
154C22×C42C2311yescharacteristic
155C22×C42C2311yescharacteristic
156#492—42no—
157#486—24no—
158#486—42no—
159#431—42no—
160C2×#107C2314yes—
161C2×C4⋊C8C2312yes—
162C2×C4⋊C8C2312yes—
163C2×#103C2314yes—
164C2×#103C2314yes—
165C2×#103C2314yes—
166C2×#102C2314yes—
167C2×#102C2314yes—
168C2×#102C2314yes—
169C2×C22⋊C8C2312yes—
170C2×C22⋊C8C2312yes—
171C2×C22⋊C8C2312yes—
172C2×C4×C8—42no—
173C2×C4×C8C2311yescharacteristic
174C2×C4×C8C2311yescharacteristic
175C2×C4×C8C2311yescharacteristic
176C2×C4×C8C2311yescharacteristic
177C2×C4×C8C2312yes—
178#400—22no—
179#400—22no—
180#398—22no—
181#397—22no—
182#397—22no—
183#394—22no—
184#394—22no—
185#394—22no—
186#394—22no—
187#394—22no—
188#393—22no—
189#393—22no—
190#391—21no—
191#391—21no—
192#391—21no—
193#391—21no—
194#391C2312yes—
195#391C2312yes—
196#391C2312yes—
197#390—21no—
198#390—21no—
199#390—21no—
200#390—21no—
201#390—21no—
202#390—21no—
203#390C2312yes—
204#390C2312yes—
205#390C2312yes—
206#389—22no—
207#389—22no—
208#389—21no—
209#389—21no—
210#389—21no—
211#389—21no—
212#389C2312yes—
213#389C2312yes—
214#388—22no—
215#388—22no—
216#388—22no—
217#388—22no—
218#388—22no—
219#388—22no—
220#388—22no—
221#388—22no—
222#387—22no—
223#387—22no—
224#384—21no—
225#384—21no—
226#384C2311yescharacteristic
227#384C2311yescharacteristic
228#384C2312yes—
229#384C2311yescharacteristic
230#384C2311yescharacteristic
231#382—21no—
232#382—21no—
233#382—21no—
234#382—21no—
235#382—22no—
236#380—21no—
237#380—21no—
238#380—21no—
239#380—21no—
240#380—21no—
241#380—22no—
242#380—22no—
243#380C2312yes—
244#380C2312yes—
245#380C2312yes—
246C4×C4⋊C4—21no—
247C4×C4⋊C4—21no—
248C4×C4⋊C4—21no—
249C4×C4⋊C4—22no—
250C4×C4⋊C4D411yescharacteristic
251C4×C4⋊C4D411yescharacteristic
252C4×C4⋊C4C2312yes—
253C4×C4⋊C4C2312yes—
254C4×C4⋊C4C2312yes—
255C4×C4⋊C4C2311yescharacteristic
256C4×C22⋊C4D411yescharacteristic
257C4×C22⋊C4D411yescharacteristic
258C4×C22⋊C4D411yescharacteristic
259C4×C22⋊C4D411yescharacteristic
260C4×C22⋊C4C2311yescharacteristic
261C4×C22⋊C4C2311yescharacteristic
262C43C2311yescharacteristic
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—22no—
279C22×Q8C2412yes—
280C22×D4—22no—
281C22×D4—22no—
282C22×D4—21no—
283C22×D4—21no—
284C22×D4C2×D411yescharacteristic
285C22×D4C2412yes—
286C23×C4—22no—
287C23×C4C2×D411yescharacteristic
288C23×C4C2×D411yescharacteristic
289C23×C4C2×D411yescharacteristic
290C23×C4C2×D411yescharacteristic
291C23×C4C2411yescharacteristic
292C23×C4C2411yescharacteristic
293C2×SD16—44no—
294C2×SD16—44no—
295C2×SD16—44no—
296C22×C8—42no—
297C22×C8—42no—
298C22×C8—42no—
299C22×C8C2412yes—
300C22×C8C2412yes—
301C22×C8C2412yes—
302C22×C8C2412yes—
303C4⋊Q8—22no—
304C4⋊Q8—22no—
305C4⋊Q8—22no—
306C4⋊Q8—22no—
307C4⋊Q8—22no—
308C4⋊Q8—44no—
309C4⋊Q8—44no—
310C4⋊Q8—82no—
311C4⋊Q8#4114yes—
312#127—22no—
313#127—22no—
314#125—24no—
315#125—42no—
316#125—44no—
317#124—48no—
318#124—48no—
319C22⋊Q8—24no—
320C22⋊Q8—44no—
321C22⋊Q8—42no—
322C22⋊Q8—44no—
323C22⋊Q8—44no—
324C22⋊Q8—44no—
325C22⋊Q8—44no—
326#121—44no—
327#121—48no—
328#121—44no—
329#121—44no—
330#121—44no—
331#121—82no—
332#121—82no—
333C4×Q8—24no—
334C4×Q8—42no—
335C4×Q8—44no—
336C4×Q8—44no—
337C4×Q8—44no—
338C4×Q8—44no—
339C4×D4—24no—
340C4×D4—24no—
341C4×D4—44no—
342C4×D4—42no—
343C4×D4—44no—
344C4×D4—44no—
345#117—24no—
346#117—42no—
347#117—44no—
348#117—48no—
349#117—44no—
350#117—44no—
351C2×C4⋊C4—21no—
352C2×C4⋊C4—21no—
353C2×C4⋊C4—22no—
354C2×C4⋊C4—21no—
355C2×C4⋊C4—21no—
356C2×C4⋊C4—21no—
357C2×C4⋊C4—21no—
358C2×C4⋊C4—22no—
359C2×C4⋊C4—22no—
360C2×C4⋊C4—21no—
361C2×C4⋊C4—21no—
362C2×C4⋊C4—22no—
363C2×C4⋊C4—21no—
364C2×C4⋊C4—22no—
365C2×C4⋊C4—22no—
366C2×C4⋊C4—21no—
367C2×C4⋊C4—21no—
368C2×C4⋊C4—21no—
369C2×C4⋊C4—22no—
370C2×C4⋊C4—22no—
371C2×C4⋊C4—22no—
372C2×C4⋊C4—22no—
373C2×C4⋊C4C2×D411yescharacteristic
374C2×C4⋊C4C2×D411yescharacteristic
375C2×C4⋊C4C2×D411yescharacteristic
376C2×C4⋊C4C2412yes—
377C2×C4⋊C4C2412yes—
378C2×C4⋊C4C2412yes—
379C2×C4⋊C4C2412yes—
380C2×C4⋊C4C2412yes—
381C2×C4⋊C4C2412yes—
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⋊C4—22no—
392C2×C22⋊C4—22no—
393C2×C22⋊C4—22no—
394C2×C22⋊C4—22no—
395C2×C22⋊C4—22no—
396C2×C22⋊C4—22no—
397C2×C22⋊C4C2×D411yescharacteristic
398C2×C22⋊C4C2×D411yescharacteristic
399C2×C22⋊C4C2×D411yescharacteristic
400C2×C22⋊C4C2×D411yescharacteristic
401C2×C22⋊C4C2×D411yescharacteristic
402C2×C22⋊C4C2×D411yescharacteristic
403C2×C42—22no—
404C2×C42—22no—
405C2×C42—22no—
406C2×C42—22no—
407C2×C42—22no—
408C2×C42—22no—
409C2×C42—22no—
410C2×C42—22no—
411C2×C42—22no—
412C2×C42C2×D411yescharacteristic
413C2×C42C2×D411yescharacteristic
414C2×C42C2×D411yescharacteristic
415C2×C42C2×D411yescharacteristic
416C2×C42C2×D411yescharacteristic
417C2×C42C2×D411yescharacteristic
418C2×C42C2×D411yescharacteristic
419C2×C42C2×D411yescharacteristic
420C2×C42C2411yescharacteristic
421C2×C42C2411yescharacteristic
422C2×C42C2411yescharacteristic
423C2×C42C2411yescharacteristic
424C2×C42C2411yescharacteristic
425#107—44no—
426C4⋊C8—42no—
427C4⋊C8—42no—
428#103—44no—
429#103—44no—
430#103—44no—
431#102—28no—
432#102—44no—
433#102—44no—
434C22⋊C8—42no—
435C22⋊C8—42no—
436C22⋊C8—42no—
437C4×C8—22no—
438C4×C8—22no—
439C4×C8—22no—
440C4×C8—22no—
441C4×C8—42no—
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#95C2×D411yescharacteristic
457#95C2×D411yescharacteristic
458#95C2×D411yescharacteristic
459#95C2×D411yescharacteristic
460#95C2×D411yescharacteristic
461#95C2×D411yescharacteristic
462C24—22no—
463C24C22×D411yescharacteristic
464C24C22×D411yescharacteristic
465C2×Q8—24no—
466C2×Q8—22no—
467C2×Q8—22no—
468C2×Q8—24no—
469C2×Q8—24no—
470C2×Q8—44no—
471C2×Q8—42no—
472C2×Q8—42no—
473C2×Q8—42no—
474C2×Q8—42no—
475C2×Q8—42no—
476C2×Q8—82no—
477C2×Q8—82no—
478C2×D4—22no—
479C2×D4—22no—
480C2×D4—22no—
481C2×D4—22no—
482C2×D4—24no—
483C2×D4—24no—
484C2×D4—41no—
485C2×D4—44no—
486C2×D4—44no—
487C2×D4—42no—
488C2×D4—42no—
489C2×D4—42no—
490C2×D4—42no—
491C2×D4—42no—
492C2×D4—42no—
493C2×D4—82no—
494C2×D4—82no—
495C2×D4—82no—
496C2×D4—82no—
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—22no—
507C22×C4—22no—
508C22×C4—22no—
509C22×C4—21no—
510C22×C4—21no—
511C22×C4—21no—
512C22×C4—21no—
513C22×C4—22no—
514C22×C4—22no—
515C22×C4—22no—
516C22×C4—22no—
517C22×C4—22no—
518C22×C4—22no—
519C22×C4—22no—
520C22×C4—22no—
521C22×C4—22no—
522C22×C4—22no—
523C22×C4—44no—
524C22×C4—44no—
525C22×C4—44no—
526C22×C4AGL(1,ℤ/8)14yes—
527C22×C4C22×D411yescharacteristic
528C22×C4C22×D411yescharacteristic
529C22×C4C22×D411yescharacteristic
530C22×C4C22×D411yescharacteristic
531C22×C4C22×D411yescharacteristic
532C22×C4C22×D411yescharacteristic
533C22×C4C22×D411yescharacteristic
534C22×C4C22×D411yescharacteristic
535C22×C4C22×D411yescharacteristic
536C22×C4C22×D411yescharacteristic
537C22×C4C22×D411yescharacteristic
538C22×C4C22×D411yescharacteristic
539C22×C4C2511yescharacteristic
540SD16—88no—
541C2×C8—22no—
542C2×C8—22no—
543C2×C8—22no—
544C2×C8—22no—
545C2×C8—22no—
546C2×C8—22no—
547C2×C8—22no—
548C2×C8—22no—
549C2×C8—22no—
550C2×C8—22no—
551C2×C8—22no—
552C2×C8—22no—
553C2×C8—48no—
554C4⋊C4—24no—
555C4⋊C4—22no—
556C4⋊C4—22no—
557C4⋊C4—22no—
558C4⋊C4—22no—
559C4⋊C4—22no—
560C4⋊C4—24no—
561C4⋊C4—24no—
562C4⋊C4—24no—
563C4⋊C4—24no—
564C4⋊C4—41no—
565C4⋊C4—44no—
566C4⋊C4—44no—
567C4⋊C4—44no—
568C4⋊C4—44no—
569C4⋊C4—44no—
570C4⋊C4—44no—
571C4⋊C4—42no—
572C4⋊C4—42no—
573C4⋊C4—42no—
574C4⋊C4—42no—
575C4⋊C4—44no—
576C4⋊C4—42no—
577C4⋊C4—42no—
578C4⋊C4—42no—
579C4⋊C4—42no—
580C4⋊C4—42no—
581C4⋊C4—44no—
582C4⋊C4—42no—
583C4⋊C4—42no—
584C4⋊C4—82no—
585C4⋊C4—82no—
586C4⋊C4C2×#4114yes—
587C22⋊C4—22no—
588C22⋊C4—22no—
589C22⋊C4—22no—
590C22⋊C4—22no—
591C22⋊C4—41no—
592C22⋊C4—41no—
593C22⋊C4—44no—
594C22⋊C4—44no—
595C22⋊C4—44no—
596C22⋊C4—44no—
597C22⋊C4—44no—
598C22⋊C4—44no—
599C22⋊C4—44no—
600C22⋊C4—44no—
601C22⋊C4—44no—
602C22⋊C4—44no—
603C22⋊C4—44no—
604C22⋊C4—82no—
605C22⋊C4—82no—
606C22⋊C4—82no—
607C22⋊C4—82no—
608C42—22no—
609C42—22no—
610C42—22no—
611C42—22no—
612C42—22no—
613C42—22no—
614C42—22no—
615C42—21no—
616C42—21no—
617C42—21no—
618C42—21no—
619C42—22no—
620C42—22no—
621C42—44no—
622C42—44no—
623C42—44no—
624C42—44no—
625C42—44no—
626C42#13514yes—
627C42C2×#4112yes—
628C42H(5,𝔽2)12yes—
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—42no—
643C23—42no—
644C23—42no—
645C23—42no—
646C23—42no—
647C23—42no—
648C23—42no—
649C23C2×AGL(1,ℤ/8)12yes—
650C23C23×D411yescharacteristic
651Q8—48no—
652Q8—44no—
653Q8—44no—
654Q8—84no—
655Q8—164no—
656D4—44no—
657D4—44no—
658D4—44no—
659D4—84no—
660D4—84no—
661D4—164no—
662D4—164no—
663C2×C4—21no—
664C2×C4—21no—
665C2×C4—21no—
666C2×C4—21no—
667C2×C4—21no—
668C2×C4—21no—
669C2×C4—28no—
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—24no—
679C2×C4—21no—
680C2×C4—21no—
681C2×C4—21no—
682C2×C4—21no—
683C2×C4—21no—
684C2×C4—21no—
685C2×C4—21no—
686C2×C4—21no—
687C2×C4—21no—
688C2×C4—21no—
689C2×C4—21no—
690C2×C4—21no—
691C2×C4—21no—
692C2×C4—42no—
693C2×C4—42no—
694C2×C4—42no—
695C2×C4—42no—
696C2×C4—42no—
697C2×C4—42no—
698C2×C4—44no—
699C2×C4—44no—
700C2×C4—44no—
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—42no—
714C2×C4—42no—
715C2×C4—42no—
716C2×C4—42no—
717C2×C4—42no—
718C2×C4—42no—
719C2×C4—88no—
720C2×C4#54612yes—
721C2×C4#54612yes—
722C2×C4C2×#13512yes—
723C2×C4C2×#13512yes—
724C2×C4C2×#13512yes—
725C2×C4C2×AGL(1,ℤ/8)12yes—
726C2×C4C2×AGL(1,ℤ/8)12yes—
727C2×C4#57712yes—
728C2×C4#57812yes—
729C2×C4C22×#4111yescharacteristic
730C2×C4C2×H(5,𝔽2)11yescharacteristic
731C2×C4#58512yes—
732C2×C4#58512yes—
733C8—42no—
734C8—42no—
735C8—42no—
736C8—42no—
737C22—22no—
738C22—22no—
739C22—22no—
740C22—41no—
741C22—41no—
742C22—41no—
743C22—41no—
744C22—41no—
745C22—41no—
746C22—41no—
747C22—41no—
748C22—41no—
749C22—41no—
750C22—41no—
751C22—82no—
752C22—82no—
753C22—82no—
754C22—82no—
755C22—82no—
756C22—82no—
757C22—82no—
758C22#344911yescharacteristic
759C22C2×#54611yescharacteristic
760C22#350011yescharacteristic
761C22C22×#13511yescharacteristic
762C22C22×AGL(1,ℤ/8)11yescharacteristic
763C22C2×#57711yescharacteristic
764C22C2×#57811yescharacteristic
765C4—22no—
766C4—22no—
767C4—22no—
768C4—41no—
769C4—41no—
770C4—41no—
771C4—41no—
772C4—44no—
773C4—41no—
774C4—41no—
775C4—41no—
776C4—82no—
777C4—82no—
778C4—82no—
779C4—82no—
780C4—82no—
781C4—82no—
782C4#330314yes—
783C4#330814yes—
784C4#352412yes—
785C4#354012yes—
786C2—42no—
787C2—81no—
788C2—162no—
789C2#3809511yescharacteristic
790C2#6094611yescharacteristic
791C2#6100811yescharacteristic
792C2C2×#330311yescharacteristic
793C2C2×#330811yescharacteristic
794C2#6252811yescharacteristic
795C2#6253911yescharacteristic
subgroupG/H
center, socleC23C23×D4
commutator, Frattini, cosocleC22×C4C25
prime radical#36187C2
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
2. #36151C2semidirect
3. #33042C2semidirect
4. #32117C2semidirect
5. #31393C2semidirect
6. #30205C2semidirect
7. #29807C2semidirect
8. #29218C2semidirect
9. #28613C2semidirect
10. #27892C2semidirect
11. #27877C2semidirect
12. #27429C2semidirect
13. #26733C2semidirect
14. #25905C2semidirect
15. #25598C2semidirect
16. #22220C2semidirect
17. #21835C2semidirect
18. #21400C2semidirect
19. #21101C2semidirect

Maximal subgroups

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

subgroupindex
#361872
#361512
#330422
#321172
#313932
#302052
#298072
#292182
#286132
#278922
#278772
#274292
#267332
#259052
#255982
#222202
#218352
#214002
#211012