Finite Group Databasebeta

← #6805895

Subgroups — #6805895

Order 512.

1804 conjugacy classes of subgroups.

The subgroup lattice has 778 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#36594C211yesmaximal, characteristic, complemented
2#36559C211yesmaximal, characteristic, complemented
3#33230C211yesmaximal, characteristic, complemented
4#30902C214yesmaximal, complemented
5#30899C214yesmaximal, complemented
6#30220C211yesmaximal, characteristic, complemented
7#30219C211yesmaximal, characteristic, complemented
8#29193C211yesmaximal, characteristic, complemented
9#29192C211yesmaximal, characteristic, complemented
10#29141C211yesmaximal, characteristic, complemented
11#28443C211yesmaximal, characteristic
12#28443C211yesmaximal, characteristic
13#28438C211yesmaximal, characteristic, complemented
14#24740C214yesmaximal, complemented
15#24205C214yesmaximal, complemented
16#22269C211yesmaximal, characteristic
17#22268C211yesmaximal, characteristic, complemented
18#21692C211yesmaximal, characteristic, complemented
19#21340C211yesmaximal, characteristic, complemented
20C2×#556C2212yes—
21C2×#554—21no—
22C2×#493C2211yescharacteristic
23C2×#492C2211yescharacteristic
24C2×#492C2211yescharacteristic
25C2×#489C2214yes—
26C2×#463C2214yes—
27C2×#463C2214yes—
28C2×#461C2214yes—
29C2×#440C2214yes—
30#2868C2211yescharacteristic
31#2868C2211yescharacteristic
32#2859C2211yescharacteristic
33#2859C2211yescharacteristic
34#2858C2211yescharacteristic
35#2858C2211yescharacteristic
36#2566—21no—
37#2566—21no—
38#2563—21no—
39#2547C2212yes—
40#2545C2212yes—
41#2545C2212yes—
42#2538—21no—
43#2538—21no—
44#2538—21no—
45#2538C2212yes—
46#2512—21no—
47#2512—21no—
48#2512—21no—
49#2512—21no—
50#2452—21no—
51#2452—21no—
52#2452C2212yes—
53#2452C2212yes—
54#2354—21no—
55#2354—21no—
56D4×C4⋊C4—21no—
57D4×C4⋊C4C2212yes—
58C4×C4⋊Q8C2211yescharacteristic
59C4×C4⋊Q8C2211yescharacteristic
60C4×#127C2211yescharacteristic
61C4×#127C2211yescharacteristic
62C4×#127C2211yescharacteristic
63C4×#127C2211yescharacteristic
64C42×Q8C2211yescharacteristic
65#2068C2214yes—
66#2067C2214yes—
67#2043C2214yes—
68#2043C2214yes—
69#2042C2214yes—
70#2042C2214yes—
71#2024C2214yes—
72#2013C2214yes—
73#2012C2214yes—
74#2012C2214yes—
75#1985C2212yes—
76#1973C2214yes—
77#1959C2214yes—
78#1957C2211yescharacteristic
79#1957C2211yescharacteristic
80#1957C2211yescharacteristic
81#1957C2211yescharacteristic
82#1956C2211yescharacteristic
83#1956C2211yescharacteristic
84#1956C2211yescharacteristic
85#1956C2211yescharacteristic
86#1956C2211yescharacteristic
87#1956C2211yescharacteristic
88#1940C2212yes—
89#1917C2212yes—
90#1917C2212yes—
91#1880C2214yes—
92#1879C2214yes—
93#1879C2214yes—
94#1877C2214yes—
95#1863C2214yes—
96#1862C2214yes—
97#1845C2211yescharacteristic
98#1834C2211yescharacteristic
99#1834C2211yescharacteristic
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#554—48no—
112C2×C4⋊Q8—21no—
113C2×C4⋊Q8—21no—
114C2×C4⋊Q8C2311yescharacteristic
115C2×C4⋊Q8C2311yescharacteristic
116C2×C4⋊Q8C2312yes—
117C2×C4⋊Q8C2312yes—
118C2×C4⋊Q8C2312yes—
119C2×#127C2311yescharacteristic
120C2×#127C2311yescharacteristic
121C2×#126—22no—
122C2×#126—22no—
123C2×#125—21no—
124C2×#125—21no—
125C2×#124C2312yes—
126C2×#124C2312yes—
127C2×#124C2312yes—
128C2×#124C2312yes—
129C2×C22⋊Q8—22no—
130C2×C22⋊Q8—22no—
131C2×C22⋊Q8—22no—
132C2×C22⋊Q8—22no—
133C2×C4×Q8D411yescharacteristic
134C2×C4×Q8D411yescharacteristic
135C2×C4×Q8C2312yes—
136C2×C4×Q8C2312yes—
137C2×C4×Q8C2311yescharacteristic
138C2×C4×D4—21no—
139C2×C4×D4—21no—
140C2×C4×D4—21no—
141C2×C4×D4—21no—
142C2×C4×D4—21no—
143C2×C4×D4—21no—
144C2×C4×D4—21no—
145C2×C4×D4—21no—
146C2×C4×D4C2312yes—
147C2×C4×D4C2312yes—
148C2×C4×D4C2312yes—
149C2×C4×D4C2312yes—
150C2×#117—22no—
151C22×C4⋊C4—22no—
152#493—24no—
153#492—24no—
154#492—24no—
155#489—48no—
156#463—48no—
157#463—48no—
158#461—48no—
159#440—48no—
160C2×#107C2314yes—
161C2×C4⋊C8C2312yes—
162C2×C4⋊C8C2312yes—
163C2×C4⋊C8C2312yes—
164C2×#103C2314yes—
165C2×#103C2314yes—
166C2×#103C2314yes—
167C2×#103C2314yes—
168C2×#103C2314yes—
169C2×#103C2314yes—
170C2×#102C2314yes—
171C2×#102C2314yes—
172C2×#102C2314yes—
173C2×#102C2314yes—
174C2×#97C2312yes—
175C2×#97C2312yes—
176C2×C4×C8C2311yescharacteristic
177C2×C4×C8C2311yescharacteristic
178C2×C4×C8C2311yescharacteristic
179C2×C4×C8C2311yescharacteristic
180#397—22no—
181#397—22no—
182#396—22no—
183#396—22no—
184#396—22no—
185#396—22no—
186#396—22no—
187#396—22no—
188#396—22no—
189#396—22no—
190#393—22no—
191#393—22no—
192#391C2312yes—
193#391C2312yes—
194#390—21no—
195#390—21no—
196#390—21no—
197#390—21no—
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#390C2312yes—
211#390C2312yes—
212#390C2312yes—
213#390C2312yes—
214#389—21no—
215#389—21no—
216#389—21no—
217#389—21no—
218#389—21no—
219#389—21no—
220#389—21no—
221#389—21no—
222#389C2312yes—
223#389C2312yes—
224#389C2312yes—
225#389C2312yes—
226#388—22no—
227#388—22no—
228#388—22no—
229#388—22no—
230#385—22no—
231#385—22no—
232#385—22no—
233#385—22no—
234#384—21no—
235#384—21no—
236#384—21no—
237#384—21no—
238#384—21no—
239#384—21no—
240#384C2311yescharacteristic
241#384C2311yescharacteristic
242#384C2311yescharacteristic
243#384C2311yescharacteristic
244#384C2312yes—
245#382—21no—
246#382—21no—
247#380—22no—
248#380—22no—
249#380—22no—
250#380—22no—
251C4×C4⋊C4—21no—
252C4×C4⋊C4—21no—
253C4×C4⋊C4—21no—
254C4×C4⋊C4—21no—
255C4×C4⋊C4D411yescharacteristic
256C4×C4⋊C4D411yescharacteristic
257C4×C4⋊C4D411yescharacteristic
258C4×C4⋊C4D411yescharacteristic
259C4×C4⋊C4D411yescharacteristic
260C4×C4⋊C4D411yescharacteristic
261C4×C4⋊C4C2311yescharacteristic
262C4×C4⋊C4C2311yescharacteristic
263C4×C4⋊C4C2311yescharacteristic
264C43C2311yescharacteristic
265C43C2311yescharacteristic
266C43C2311yescharacteristic
267#340C2314yes—
268#340C2314yes—
269#336C2312yes—
270#336C2312yes—
271#336C2312yes—
272#336C2312yes—
273#336C2312yes—
274#336C2312yes—
275#336C2312yes—
276C22×Q8—22no—
277C22×Q8C2×D411yescharacteristic
278C22×Q8C2412yes—
279C22×Q8C2412yes—
280C22×D4—21no—
281C22×D4—21no—
282C22×D4—21no—
283C22×D4—21no—
284C22×D4C2412yes—
285C22×D4C2412yes—
286C23×C4—22no—
287C23×C4—22no—
288C23×C4—22no—
289C23×C4—22no—
290C2×SD16—28no—
291C2×SD16—28no—
292C2×SD16—28no—
293C2×SD16—44no—
294C2×SD16—44no—
295C2×SD16—44no—
296C2×D8—28no—
297C2×D8—44no—
298C2×D8—44no—
299C22×C8C2412yes—
300C22×C8C2412yes—
301C22×C8C2412yes—
302C22×C8C2412yes—
303C4⋊Q8—22no—
304C4⋊Q8—22no—
305C4⋊Q8—22no—
306C4⋊Q8—22no—
307C4⋊Q8—44no—
308C4⋊Q8—44no—
309C4⋊Q8—44no—
310C4⋊Q8—44no—
311C4⋊Q8—82no—
312#127—22no—
313#127—22no—
314#127—22no—
315#127#4114yes—
316#126—48no—
317#126—48no—
318#125—44no—
319#125—44no—
320#124—28no—
321#124—44no—
322#124—44no—
323#124—44no—
324C22⋊Q8—48no—
325C22⋊Q8—48no—
326C22⋊Q8—48no—
327C22⋊Q8—48no—
328C4×Q8—24no—
329C4×Q8—24no—
330C4×Q8—28no—
331C4×Q8—42no—
332C4×Q8—44no—
333C4×D4—28no—
334C4×D4—44no—
335C4×D4—44no—
336C4×D4—44no—
337C4×D4—44no—
338C4×D4—44no—
339C4×D4—44no—
340C4×D4—44no—
341C4×D4—44no—
342C4×D4—44no—
343C4×D4—82no—
344C4×D4—82no—
345#117—48no—
346C2×C4⋊C4—22no—
347C2×C4⋊C4—22no—
348C2×C4⋊C4—22no—
349C2×C4⋊C4—22no—
350C2×C4⋊C4—21no—
351C2×C4⋊C4—21no—
352C2×C4⋊C4—21no—
353C2×C4⋊C4—21no—
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—22no—
361C2×C4⋊C4—22no—
362C2×C4⋊C4—22no—
363C2×C4⋊C4—21no—
364C2×C4⋊C4—21no—
365C2×C4⋊C4—21no—
366C2×C4⋊C4—21no—
367C2×C4⋊C4—22no—
368C2×C4⋊C4—22no—
369C2×C4⋊C4—22no—
370C2×C4⋊C4—22no—
371C2×C4⋊C4—48no—
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×C42—22no—
406C2×C42—22no—
407C2×C42C2×D411yescharacteristic
408C2×C42C2×D411yescharacteristic
409C2×C42C2×D411yescharacteristic
410C2×C42C2×D411yescharacteristic
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×C42C2411yescharacteristic
420C2×C42C2411yescharacteristic
421C2×C42C2411yescharacteristic
422C2×C42C2411yescharacteristic
423C2×C42C2411yescharacteristic
424C2×C42C2411yescharacteristic
425C2×C42C2411yescharacteristic
426#107—44no—
427C4⋊C8—24no—
428C4⋊C8—24no—
429C4⋊C8—24no—
430#103—28no—
431#103—44no—
432#103—44no—
433#103—44no—
434#103—44no—
435#103—44no—
436#102—28no—
437#102—44no—
438#102—44no—
439#102—44no—
440#97—24no—
441#97—24no—
442C4×C8—22no—
443C4×C8—22no—
444C4×C8—22no—
445C4×C8—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#95C2×D411yescharacteristic
455#95C2×D411yescharacteristic
456#95C2×D411yescharacteristic
457#95C2×D411yescharacteristic
458#95C2×D411yescharacteristic
459#95C2×D411yescharacteristic
460C24—22no—
461C24—22no—
462C2×Q8—22no—
463C2×Q8—22no—
464C2×Q8—22no—
465C2×Q8—22no—
466C2×Q8—24no—
467C2×Q8—24no—
468C2×Q8—24no—
469C2×Q8—24no—
470C2×Q8—22no—
471C2×Q8—22no—
472C2×Q8—41no—
473C2×Q8—44no—
474C2×Q8—82no—
475C2×Q8—82no—
476C2×D4—24no—
477C2×D4—24no—
478C2×D4—22no—
479C2×D4—24no—
480C2×D4—24no—
481C2×D4—24no—
482C2×D4—24no—
483C2×D4—22no—
484C2×D4—22no—
485C2×D4—42no—
486C2×D4—42no—
487C2×D4—42no—
488C2×D4—42no—
489C2×D4—42no—
490C2×D4—42no—
491C2×D4—42no—
492C2×D4—42no—
493C2×D4—42no—
494C2×D4—42no—
495C2×D4C2×#4114yes—
496C22×C4—22no—
497C22×C4—22no—
498C22×C4—22no—
499C22×C4—22no—
500C22×C4—22no—
501C22×C4—22no—
502C22×C4—44no—
503C22×C4—44no—
504C22×C4—44no—
505C22×C4—44no—
506C22×C4—44no—
507C22×C4—44no—
508C22×C4—44no—
509C22×C4—44no—
510C22×C4—82no—
511C22×C4—82no—
512C22×C4—82no—
513C22×C4—82no—
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×C4C22×D411yescharacteristic
526C22×C4C22×D411yescharacteristic
527C22×C4C22×D411yescharacteristic
528C22×C4C2511yescharacteristic
529SD16—416no—
530SD16—88no—
531D8—88no—
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—
541C2×C8—22no—
542C2×C8—22no—
543C2×C8H(5,𝔽2)14yes—
544C4⋊C4—22no—
545C4⋊C4—22no—
546C4⋊C4—22no—
547C4⋊C4—22no—
548C4⋊C4—22no—
549C4⋊C4—22no—
550C4⋊C4—24no—
551C4⋊C4—24no—
552C4⋊C4—24no—
553C4⋊C4—24no—
554C4⋊C4—41no—
555C4⋊C4—41no—
556C4⋊C4—41no—
557C4⋊C4—44no—
558C4⋊C4—44no—
559C4⋊C4—44no—
560C4⋊C4—44no—
561C4⋊C4—44no—
562C4⋊C4—44no—
563C4⋊C4—44no—
564C4⋊C4—42no—
565C4⋊C4—42no—
566C4⋊C4—42no—
567C4⋊C4—42no—
568C4⋊C4—44no—
569C4⋊C4—42no—
570C4⋊C4—42no—
571C4⋊C4—42no—
572C4⋊C4—42no—
573C4⋊C4—44no—
574C4⋊C4—42no—
575C4⋊C4—42no—
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—82no—
595C22⋊C4—82no—
596C22⋊C4—82no—
597C22⋊C4—82no—
598C22⋊C4—82no—
599C22⋊C4—82no—
600C22⋊C4—82no—
601C22⋊C4—82no—
602C42—22no—
603C42—22no—
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—44no—
619C42—44no—
620C42AGL(1,ℤ/8)14yes—
621C42C2×#4112yes—
622C42H(5,𝔽2)14yes—
623C422−1+412yes—
624C23—24no—
625C23—42no—
626C23—42no—
627C23—42no—
628C23—42no—
629C23—42no—
630C23—42no—
631C23—42no—
632C23—42no—
633C23—42no—
634C23—42no—
635C23—42no—
636C23—42no—
637C23—42no—
638C23C23×D411yescharacteristic
639Q8—44no—
640Q8—44no—
641Q8—44no—
642Q8—44no—
643Q8—44no—
644Q8—164no—
645D4—28no—
646D4—48no—
647D4—48no—
648D4—44no—
649D4—44no—
650D4—44no—
651D4—84no—
652D4—84no—
653C2×C4—21no—
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—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—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—88no—
704C2×C4—88no—
705C2×C4—164no—
706C2×C4—164no—
707C2×C4#53512yes—
708C2×C4#53512yes—
709C2×C4#54812yes—
710C2×C4#54812yes—
711C2×C4C2×AGL(1,ℤ/8)12yes—
712C2×C4C2×AGL(1,ℤ/8)12yes—
713C2×C4C2×AGL(1,ℤ/8)12yes—
714C2×C4#57512yes—
715C2×C4#57712yes—
716C2×C4#57812yes—
717C2×C4C22×#4111yescharacteristic
718C2×C4C2×H(5,𝔽2)12yes—
719C2×C4C2×H(5,𝔽2)12yes—
720C2×C4C2×2−1+411yescharacteristic
721C8—24no—
722C8—42no—
723C8—42no—
724C8—42no—
725C22—44no—
726C22—44no—
727C22—44no—
728C22—82no—
729C22—82no—
730C22—82no—
731C22—82no—
732C22—82no—
733C22—82no—
734C22—82no—
735C22—82no—
736C22—82no—
737C22—82no—
738C22—82no—
739C22C2×#53511yescharacteristic
740C22C2×#54811yescharacteristic
741C22#349811yescharacteristic
742C22C22×AGL(1,ℤ/8)11yescharacteristic
743C22C2×#57511yescharacteristic
744C22C2×#57711yescharacteristic
745C22C2×#57811yescharacteristic
746C4—22no—
747C4—22no—
748C4—22no—
749C4—22no—
750C4—41no—
751C4—41no—
752C4—41no—
753C4—41no—
754C4—41no—
755C4—41no—
756C4—41no—
757C4—41no—
758C4—82no—
759C4—82no—
760C4—82no—
761C4—82no—
762C4—82no—
763C4—82no—
764C4#336714yes—
765C4#337614yes—
766C4#351912yes—
767C4#354812yes—
768C2—84no—
769C2—162no—
770C2#3916911yescharacteristic
771C2#6080311yescharacteristic
772C2#6082411yescharacteristic
773C2C2×#336711yescharacteristic
774C2C2×#337611yescharacteristic
775C2#6242111yescharacteristic
776C2#6242511yescharacteristic
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. #36559C2semidirect
3. #33230C2semidirect
4. #30902C2semidirect
5. #30899C2semidirect
6. #30220C2semidirect
7. #30219C2semidirect
8. #29193C2semidirect
9. #29192C2semidirect
10. #29141C2semidirect
13. #28438C2semidirect
14. #24740C2semidirect
15. #24205C2semidirect
17. #22268C2semidirect
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
#365592
#332302
#309022
#308992
#302202
#302192
#291932
#291922
#291412
#284432
#284382
#247402
#242052
#222692
#222682
#216922
#213402