Finite Group Databasebeta

← #6858565

Subgroups — #6858565

Order 512.

1734 conjugacy classes of subgroups.

The subgroup lattice has 781 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#36594C211yesmaximal, characteristic, complemented
2#36594C211yesmaximal, characteristic, complemented
3#33238C211yesmaximal, characteristic, complemented
4#32192C214yesmaximal, complemented
5#32189C214yesmaximal, complemented
6#30263C211yesmaximal, characteristic, complemented
7#30260C211yesmaximal, characteristic
8#28750C211yesmaximal, characteristic, complemented
9#28748C211yesmaximal, characteristic, complemented
10#28717C211yesmaximal, characteristic, complemented
11#28615C211yesmaximal, characteristic
12#28614C211yesmaximal, characteristic, complemented
13#28443C211yesmaximal, characteristic
14#24640C214yesmaximal, complemented
15#24205C214yesmaximal, complemented
16#22221C211yesmaximal, characteristic, complemented
17#22220C211yesmaximal, characteristic, complemented
18#21692C211yesmaximal, characteristic, complemented
19#21340C211yesmaximal, characteristic, complemented
20C2×#556—21no—
21C2×#556C2212yes—
22C2×#493C2211yescharacteristic
23C2×#492C2211yescharacteristic
24C2×#492C2211yescharacteristic
25C2×#487C2211yescharacteristic
26C2×#487C2211yescharacteristic
27C2×#487C2211yescharacteristic
28C2×#487C2211yescharacteristic
29C2×#486C2211yescharacteristic
30C2×#486C2211yescharacteristic
31C2×#463C2214yes—
32C2×#440C2214yes—
33#2868C2211yescharacteristic
34#2868C2211yescharacteristic
35#2858C2211yescharacteristic
36#2858C2211yescharacteristic
37#2858C2211yescharacteristic
38#2858C2211yescharacteristic
39#2547—21no—
40#2547C2212yes—
41#2545—21no—
42#2545—21no—
43#2545C2212yes—
44#2545C2212yes—
45#2538—21no—
46#2538—21no—
47#2538—21no—
48#2538C2212yes—
49#2512—21no—
50#2512—21no—
51#2512—21no—
52#2512—21no—
53#2512—21no—
54#2512—21no—
55#2512C2212yes—
56#2512C2212yes—
57#2354—21no—
58#2354—21no—
59#2354—21no—
60#2354C2212yes—
61C4×C4⋊Q8C2211yescharacteristic
62C4×C4⋊Q8C2211yescharacteristic
63C4×C4⋊Q8C2211yescharacteristic
64C4×C4⋊Q8C2211yescharacteristic
65C4×#127C2211yescharacteristic
66C4×#127C2211yescharacteristic
67C42×Q8C2211yescharacteristic
68#2072C2214yes—
69#2055C2214yes—
70#2054C2214yes—
71#2043C2214yes—
72#2042C2214yes—
73#2013C2214yes—
74#2013C2214yes—
75#2012C2214yes—
76#2012C2214yes—
77#2012C2214yes—
78#1990C2211yescharacteristic
79#1990C2211yescharacteristic
80#1985C2212yes—
81#1983C2214yes—
82#1981C2214yes—
83#1973C2214yes—
84#1959C2214yes—
85#1959C2214yes—
86#1957C2211yescharacteristic
87#1957C2211yescharacteristic
88#1956C2211yescharacteristic
89#1956C2211yescharacteristic
90#1940C2212yes—
91#1928C2214yes—
92#1925C2214yes—
93#1917C2212yes—
94#1917C2212yes—
95#1880C2214yes—
96#1879C2214yes—
97#1863C2214yes—
98#1862C2214yes—
99#1845C2211yescharacteristic
100#1803C2214yes—
101C4×C4⋊C8C2211yescharacteristic
102C4×C4⋊C8C2211yescharacteristic
103C4×C4⋊C8C2211yescharacteristic
104#1744C2211yescharacteristic
105#1744C2211yescharacteristic
106C4×#97C2211yescharacteristic
107C22×SD16C2314yes—
108C22×SD16C2314yes—
109C22×D8C2314yes—
110#556—48no—
111#556—48no—
112C2×C4⋊Q8—21no—
113C2×C4⋊Q8—21no—
114C2×C4⋊Q8C2311yescharacteristic
115C2×C4⋊Q8C2311yescharacteristic
116C2×C4⋊Q8C2312yes—
117C2×C4⋊Q8C2312yes—
118C2×C4⋊Q8C2311yescharacteristic
119C2×C4⋊Q8C2311yescharacteristic
120C2×#127C2311yescharacteristic
121C2×#127C2311yescharacteristic
122C2×#126—22no—
123C2×#126—22no—
124C2×#126—22no—
125C2×#126—22no—
126C2×#124—21no—
127C2×#124—21no—
128C2×#124—21no—
129C2×#124—21no—
130C2×#124C2312yes—
131C2×#124C2312yes—
132C2×#124C2312yes—
133C2×#124C2312yes—
134C2×C22⋊Q8—22no—
135C2×C22⋊Q8—22no—
136C2×C4×Q8—21no—
137C2×C4×Q8—21no—
138C2×C4×Q8D411yescharacteristic
139C2×C4×Q8D411yescharacteristic
140C2×C4×Q8C2312yes—
141C2×C4×Q8C2312yes—
142C2×C4×Q8C2311yescharacteristic
143C2×C4×D4—21no—
144C2×C4×D4—21no—
145C2×C4×D4—21no—
146C2×C4×D4—21no—
147C2×C4×D4C2312yes—
148C2×C4×D4C2312yes—
149C2×#117—22no—
150C2×#117—22no—
151#493—42no—
152#492—24no—
153#492—42no—
154#487—24no—
155#487—42no—
156#487—42no—
157#487—42no—
158#486—24no—
159#486—42no—
160#463—48no—
161#440—48no—
162C2×#107C2314yes—
163C2×C4⋊C8C2312yes—
164C2×C4⋊C8C2312yes—
165C2×C4⋊C8C2312yes—
166C2×#103C2314yes—
167C2×#103C2314yes—
168C2×#103C2314yes—
169C2×#103C2314yes—
170C2×#103C2314yes—
171C2×#103C2314yes—
172C2×#102C2314yes—
173C2×#102C2314yes—
174C2×#102C2314yes—
175C2×#102C2314yes—
176C2×#97C2312yes—
177C2×#97C2312yes—
178C2×C4×C8C2311yescharacteristic
179C2×C4×C8C2311yescharacteristic
180C2×C4×C8C2311yescharacteristic
181C2×C4×C8C2311yescharacteristic
182#397—22no—
183#397—22no—
184#397—22no—
185#397—22no—
186#396—22no—
187#396—22no—
188#396—22no—
189#396—22no—
190#396—22no—
191#396—22no—
192#396—22no—
193#396—22no—
194#391—21no—
195#391—21no—
196#391C2312yes—
197#391C2312yes—
198#390—21no—
199#390—21no—
200#390—21no—
201#390—21no—
202#390—21no—
203#390—21no—
204#390—21no—
205#390—21no—
206#390—21no—
207#390—21no—
208#390—21no—
209#390—21no—
210#390—21no—
211#390—21no—
212#390—21no—
213#390—21no—
214#390C2312yes—
215#390C2312yes—
216#390C2312yes—
217#390C2312yes—
218#390C2312yes—
219#390C2312yes—
220#389—21no—
221#389—21no—
222#389—21no—
223#389—21no—
224#389—21no—
225#389—21no—
226#389C2312yes—
227#389C2312yes—
228#388—22no—
229#388—22no—
230#388—22no—
231#388—22no—
232#388—22no—
233#388—22no—
234#388—22no—
235#388—22no—
236#384—21no—
237#384—21no—
238#384—21no—
239#384—21no—
240#384—21no—
241#384—21no—
242#384C2311yescharacteristic
243#384C2311yescharacteristic
244#384C2312yes—
245#384C2312yes—
246#380—22no—
247#380—22no—
248#380—22no—
249#380—22no—
250C4×C4⋊C4—21no—
251C4×C4⋊C4—21no—
252C4×C4⋊C4—21no—
253C4×C4⋊C4—21no—
254C4×C4⋊C4—21no—
255C4×C4⋊C4—21no—
256C4×C4⋊C4D411yescharacteristic
257C4×C4⋊C4D411yescharacteristic
258C4×C4⋊C4D411yescharacteristic
259C4×C4⋊C4D411yescharacteristic
260C4×C4⋊C4D411yescharacteristic
261C4×C4⋊C4D411yescharacteristic
262C4×C4⋊C4C2312yes—
263C4×C4⋊C4C2312yes—
264C4×C4⋊C4C2311yescharacteristic
265C4×C4⋊C4C2311yescharacteristic
266C4×C4⋊C4C2311yescharacteristic
267C43C2311yescharacteristic
268C43C2311yescharacteristic
269C43C2311yescharacteristic
270#340C2314yes—
271#340C2314yes—
272#336C2312yes—
273#336C2312yes—
274#336C2312yes—
275#336C2312yes—
276#336C2312yes—
277#336C2312yes—
278#336C2312yes—
279C22×Q8—21no—
280C22×Q8—21no—
281C22×Q8C2×D411yescharacteristic
282C22×Q8C2412yes—
283C22×Q8C2412yes—
284C22×D4—21no—
285C22×D4—21no—
286C22×D4—21no—
287C22×D4—21no—
288C22×D4C2412yes—
289C22×D4C2412yes—
290C23×C4—22no—
291C23×C4—22no—
292C2×SD16—28no—
293C2×SD16—44no—
294C2×SD16—44no—
295C2×SD16—44no—
296C2×SD16—44no—
297C2×SD16—44no—
298C2×D8—44no—
299C2×D8—44no—
300C2×D8—44no—
301C22×C8C2412yes—
302C22×C8C2412yes—
303C22×C8C2412yes—
304C22×C8C2412yes—
305C4⋊Q8—22no—
306C4⋊Q8—22no—
307C4⋊Q8—22no—
308C4⋊Q8—22no—
309C4⋊Q8—22no—
310C4⋊Q8—22no—
311C4⋊Q8—22no—
312C4⋊Q8—22no—
313C4⋊Q8—44no—
314C4⋊Q8—44no—
315C4⋊Q8—44no—
316C4⋊Q8—82no—
317#127—22no—
318#127—22no—
319#127—22no—
320#127—22no—
321#126—48no—
322#126—48no—
323#126—48no—
324#126—48no—
325#124—28no—
326#124—44no—
327#124—44no—
328#124—44no—
329#124—44no—
330#124—44no—
331#124—82no—
332#124—82no—
333C22⋊Q8—48no—
334C22⋊Q8—48no—
335C4×Q8—24no—
336C4×Q8—24no—
337C4×Q8—28no—
338C4×Q8—42no—
339C4×Q8—44no—
340C4×Q8—44no—
341C4×Q8—44no—
342C4×D4—28no—
343C4×D4—44no—
344C4×D4—44no—
345C4×D4—44no—
346C4×D4—44no—
347C4×D4—44no—
348#117—48no—
349#117—48no—
350C2×C4⋊C4—22no—
351C2×C4⋊C4—22no—
352C2×C4⋊C4—21no—
353C2×C4⋊C4—21no—
354C2×C4⋊C4—21no—
355C2×C4⋊C4—21no—
356C2×C4⋊C4—22no—
357C2×C4⋊C4—22no—
358C2×C4⋊C4—22no—
359C2×C4⋊C4—22no—
360C2×C4⋊C4—22no—
361C2×C4⋊C4—22no—
362C2×C4⋊C4—21no—
363C2×C4⋊C4—21no—
364C2×C4⋊C4—21no—
365C2×C4⋊C4—21no—
366C2×C4⋊C4—21no—
367C2×C4⋊C4—21no—
368C2×C4⋊C4—22no—
369C2×C4⋊C4—22no—
370C2×C4⋊C4—22no—
371C2×C4⋊C4—22no—
372C2×C4⋊C4C2×D411yescharacteristic
373C2×C4⋊C4C2×D411yescharacteristic
374C2×C4⋊C4C2×D411yescharacteristic
375C2×C4⋊C4C2×D411yescharacteristic
376C2×C4⋊C4C2×D411yescharacteristic
377C2×C4⋊C4C2×D411yescharacteristic
378C2×C4⋊C4C2×D411yescharacteristic
379C2×C4⋊C4C2×D411yescharacteristic
380C2×C4⋊C4C2×D411yescharacteristic
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⋊C4—22no—
392C2×C22⋊C4—22no—
393C2×C22⋊C4—22no—
394C2×C22⋊C4—22no—
395C2×C22⋊C4—22no—
396C2×C22⋊C4—22no—
397C2×C22⋊C4—22no—
398C2×C22⋊C4—22no—
399C2×C22⋊C4—22no—
400C2×C22⋊C4—22no—
401C2×C22⋊C4—22no—
402C2×C22⋊C4—22no—
403C2×C22⋊C4—22no—
404C2×C22⋊C4—22no—
405C2×C22⋊C4—22no—
406C2×C22⋊C4—22no—
407C2×C42—22no—
408C2×C42—22no—
409C2×C42—22no—
410C2×C42—22no—
411C2×C42C2×D411yescharacteristic
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×C42C2×D411yescharacteristic
421C2×C42C2×D411yescharacteristic
422C2×C42C2×D411yescharacteristic
423C2×C42C2411yescharacteristic
424C2×C42C2411yescharacteristic
425C2×C42C2411yescharacteristic
426C2×C42C2411yescharacteristic
427C2×C42C2411yescharacteristic
428C2×C42C2411yescharacteristic
429C2×C42C2411yescharacteristic
430#107—44no—
431C4⋊C8—24no—
432C4⋊C8—42no—
433C4⋊C8—42no—
434#103—28no—
435#103—44no—
436#103—44no—
437#103—44no—
438#103—44no—
439#103—44no—
440#102—28no—
441#102—44no—
442#102—44no—
443#102—44no—
444#97—24no—
445#97—42no—
446C4×C8—22no—
447C4×C8—22no—
448C4×C8—22no—
449C4×C8#4114yes—
450#95—22no—
451#95—22no—
452#95—22no—
453#95—22no—
454#95—22no—
455#95—22no—
456#95—22no—
457#95—22no—
458#95C2×D411yescharacteristic
459#95C2×D411yescharacteristic
460#95C2×D411yescharacteristic
461#95C2×D411yescharacteristic
462#95C2×D411yescharacteristic
463#95C2×D411yescharacteristic
464C24—22no—
465C24—22no—
466C2×Q8—22no—
467C2×Q8—22no—
468C2×Q8—22no—
469C2×Q8—22no—
470C2×Q8—22no—
471C2×Q8—22no—
472C2×Q8—24no—
473C2×Q8—24no—
474C2×Q8—24no—
475C2×Q8—24no—
476C2×Q8—41no—
477C2×Q8—42no—
478C2×Q8—42no—
479C2×Q8—42no—
480C2×Q8—42no—
481C2×Q8—42no—
482C2×Q8—42no—
483C2×D4—22no—
484C2×D4—22no—
485C2×D4—22no—
486C2×D4—24no—
487C2×D4—24no—
488C2×D4—22no—
489C2×D4—24no—
490C2×D4—24no—
491C2×D4—42no—
492C2×D4—42no—
493C2×D4—42no—
494C2×D4—42no—
495C2×D4—42no—
496C2×D4—42no—
497C2×D4—42no—
498C2×D4—42no—
499C2×D4—42no—
500C2×D4—42no—
501C2×D4—42no—
502C2×D4—42no—
503C22×C4—22no—
504C22×C4—22no—
505C22×C4—22no—
506C22×C4—22no—
507C22×C4—22no—
508C22×C4—22no—
509C22×C4—44no—
510C22×C4—44no—
511C22×C4—44no—
512C22×C4—44no—
513C22×C4—44no—
514C22×C4—44no—
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×C4C22×D411yescharacteristic
526C22×C4C22×D411yescharacteristic
527C22×C4C22×D411yescharacteristic
528C22×C4C22×D411yescharacteristic
529C22×C4C2511yescharacteristic
530SD16—416no—
531SD16—88no—
532D8—88no—
533C2×C8—22no—
534C2×C8—22no—
535C2×C8—22no—
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×C8C2×#4114yes—
545C4⋊C4—22no—
546C4⋊C4—22no—
547C4⋊C4—22no—
548C4⋊C4—22no—
549C4⋊C4—22no—
550C4⋊C4—22no—
551C4⋊C4—22no—
552C4⋊C4—22no—
553C4⋊C4—22no—
554C4⋊C4—24no—
555C4⋊C4—24no—
556C4⋊C4—22no—
557C4⋊C4—41no—
558C4⋊C4—41no—
559C4⋊C4—41no—
560C4⋊C4—44no—
561C4⋊C4—44no—
562C4⋊C4—44no—
563C4⋊C4—44no—
564C4⋊C4—44no—
565C4⋊C4—44no—
566C4⋊C4—44no—
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—44no—
576C4⋊C4—42no—
577C4⋊C4—42no—
578C4⋊C4—82no—
579C4⋊C4—82no—
580C4⋊C4—82no—
581C4⋊C4—82no—
582C22⋊C4—44no—
583C22⋊C4—44no—
584C22⋊C4—44no—
585C22⋊C4—44no—
586C22⋊C4—44no—
587C22⋊C4—44no—
588C22⋊C4—44no—
589C22⋊C4—44no—
590C22⋊C4—44no—
591C22⋊C4—44no—
592C22⋊C4—44no—
593C22⋊C4—44no—
594C22⋊C4—44no—
595C22⋊C4—44no—
596C22⋊C4—82no—
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—22no—
609C42—22no—
610C42—22no—
611C42—22no—
612C42—22no—
613C42—22no—
614C42—22no—
615C42—22no—
616C42—22no—
617C42—22no—
618C42—22no—
619C42—22no—
620C42—44no—
621C42—44no—
622C42—44no—
623C42—44no—
624C42AGL(1,ℤ/8)14yes—
625C42C2×#4112yes—
626C42H(5,𝔽2)14yes—
627C42H(5,𝔽2)12yes—
628C23—42no—
629C23—42no—
630C23—42no—
631C23—42no—
632C23—42no—
633C23—42no—
634C23—42no—
635C23—42no—
636C23—42no—
637C23—42no—
638C23—42no—
639C23—42no—
640C23—42no—
641C23—42no—
642C23C23×D411yescharacteristic
643Q8—44no—
644Q8—44no—
645Q8—44no—
646Q8—44no—
647Q8—44no—
648Q8—84no—
649Q8—84no—
650D4—44no—
651D4—44no—
652D4—44no—
653D4—44no—
654D4—84no—
655D4—84no—
656D4—84no—
657D4—84no—
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—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—21no—
677C2×C4—21no—
678C2×C4—21no—
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—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—88no—
709C2×C4—88no—
710C2×C4#53512yes—
711C2×C4#53512yes—
712C2×C4#55012yes—
713C2×C4#55012yes—
714C2×C4C2×AGL(1,ℤ/8)12yes—
715C2×C4C2×AGL(1,ℤ/8)12yes—
716C2×C4C2×AGL(1,ℤ/8)12yes—
717C2×C4#57512yes—
718C2×C4#57712yes—
719C2×C4#57812yes—
720C2×C4C22×#4111yescharacteristic
721C2×C4C2×H(5,𝔽2)12yes—
722C2×C4C2×H(5,𝔽2)11yescharacteristic
723C2×C4#58512yes—
724C8—24no—
725C8—42no—
726C8—42no—
727C8—42no—
728C22—82no—
729C22—82no—
730C22—82no—
731C22—82no—
732C22—82no—
733C22—82no—
734C22—82no—
735C22—82no—
736C22—82no—
737C22—82no—
738C22—82no—
739C22—82no—
740C22—82no—
741C22—82no—
742C22C2×#53511yescharacteristic
743C22C2×#55011yescharacteristic
744C22#350011yescharacteristic
745C22C22×AGL(1,ℤ/8)11yescharacteristic
746C22C2×#57511yescharacteristic
747C22C2×#57711yescharacteristic
748C22C2×#57811yescharacteristic
749C4—22no—
750C4—22no—
751C4—22no—
752C4—22no—
753C4—41no—
754C4—41no—
755C4—41no—
756C4—41no—
757C4—41no—
758C4—41no—
759C4—41no—
760C4—41no—
761C4—82no—
762C4—82no—
763C4—82no—
764C4—82no—
765C4—82no—
766C4—82no—
767C4#339714yes—
768C4#340214yes—
769C4#350612yes—
770C4#354612yes—
771C2—162no—
772C2—162no—
773C2#3974711yescharacteristic
774C2#6080311yescharacteristic
775C2#6082411yescharacteristic
776C2C2×#339711yescharacteristic
777C2C2×#340211yescharacteristic
778C2#6253811yescharacteristic
779C2#6254311yescharacteristic
subgroupG/H
center, socleC23C23×D4
commutator, Frattini, cosocleC22×C4C25
prime radicalC2×#493C22
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C23 ◁ C42×Q8 ◁ G
LECSG ▷ C22×C4 ▷ C2 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #36594C2semidirect
2. #36594C2semidirect
3. #33238C2semidirect
4. #32192C2semidirect
5. #32189C2semidirect
6. #30263C2semidirect
8. #28750C2semidirect
9. #28748C2semidirect
10. #28717C2semidirect
12. #28614C2semidirect
14. #24640C2semidirect
15. #24205C2semidirect
16. #22221C2semidirect
17. #22220C2semidirect
18. #21692C2semidirect
19. #21340C2semidirect

Maximal subgroups

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

subgroupindex
#365942
#332382
#321922
#321892
#302632
#302602
#287502
#287482
#287172
#286152
#286142
#284432
#246402
#242052
#222212
#222202
#216922
#213402