Finite Group Databasebeta

← #6495903

Subgroups — #6495903

Order 512.

1832 conjugacy classes of subgroups.

The subgroup lattice has 810 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#36631C211yesmaximal, characteristic, complemented
2#36631C211yesmaximal, characteristic, complemented
3#33175C211yesmaximal, characteristic
4#33174C211yesmaximal, characteristic, complemented
5#33049C211yesmaximal, characteristic, complemented
6#33048C211yesmaximal, characteristic, complemented
7#30307C211yesmaximal, characteristic, complemented
8#30260C211yesmaximal, characteristic, complemented
9#30219C211yesmaximal, characteristic, complemented
10#30204C211yesmaximal, characteristic, complemented
11#29562C214yesmaximal, complemented
12#29503C214yesmaximal, complemented
13#28579C214yesmaximal, complemented
14#25506C214yesmaximal, complemented
15#22269C211yesmaximal, characteristic, complemented
16#22268C211yesmaximal, characteristic, complemented
17#22220C211yesmaximal, characteristic, complemented
18#22218C211yesmaximal, characteristic, complemented
19#20364C211yesmaximal, characteristic, complemented
20C2×#529—21no—
21C2×#529C2212yes—
22C2×#493C2211yescharacteristic
23C2×#492C2211yescharacteristic
24C2×#487C2211yescharacteristic
25C2×#486C2211yescharacteristic
26C2×#469C2214yes—
27C2×#468C2214yes—
28C2×C4×M16C2211yescharacteristic
29C2×C4×M16C2211yescharacteristic
30#2861—21no—
31#2861C2212yes—
32#2860—21no—
33#2860—21no—
34#2860—21no—
35#2860C2212yes—
36#2859C2211yescharacteristic
37#2859C2211yescharacteristic
38#2858C2211yescharacteristic
39#2858C2211yescharacteristic
40#2857C2211yescharacteristic
41#2857C2211yescharacteristic
42#2856C2211yescharacteristic
43#2856C2211yescharacteristic
44#2854—21no—
45#2854—21no—
46#2854—21no—
47#2854C2212yes—
48#2850—21no—
49#2850C2212yes—
50C4×C4⋊Q8C2211yescharacteristic
51C4×C4⋊Q8C2211yescharacteristic
52C4×#127C2211yescharacteristic
53C4×#127C2211yescharacteristic
54C4×#124—21no—
55C4×#124C2212yes—
56C4×#121—21no—
57C4×#121—21no—
58C4×#121—21no—
59C4×#121C2212yes—
60#2293—21no—
61#2293—21no—
62#2293—21no—
63#2293C2212yes—
64C2×C43C2211yescharacteristic
65#2085C2214yes—
66#2073C2214yes—
67#2059C2214yes—
68#2042C2214yes—
69#2042C2214yes—
70#2025C2214yes—
71#2012C2214yes—
72#2012C2214yes—
73#1990C2211yescharacteristic
74#1990C2211yescharacteristic
75#1973C2214yes—
76#1972C2214yes—
77#1957C2211yescharacteristic
78#1957C2211yescharacteristic
79#1957C2211yescharacteristic
80#1957C2211yescharacteristic
81#1956C2211yescharacteristic
82#1956C2211yescharacteristic
83#1936C2214yes—
84#1935C2214yes—
85#1927C2214yes—
86#1925C2214yes—
87#1895C2214yes—
88#1894C2214yes—
89#1880C2214yes—
90#1879C2214yes—
91#1879C2214yes—
92#1877C2214yes—
93#1865C2214yes—
94#1862C2214yes—
95#1845C2211yescharacteristic
96#1844C2211yescharacteristic
97#1834C2211yescharacteristic
98#1834C2211yescharacteristic
99#1745C2212yes—
100#1745C2212yes—
101#1744C2211yescharacteristic
102#1744C2211yescharacteristic
103#1744C2211yescharacteristic
104#1744C2211yescharacteristic
105#1728C2212yes—
106#1728C2212yes—
107C22×SD16C2314yes—
108C22×D8C2314yes—
109C22×M16C2312yes—
110C22×M16C2312yes—
111C2×C4⋊Q8C2311yescharacteristic
112C2×C4⋊Q8C2311yescharacteristic
113C2×#127C2311yescharacteristic
114C2×#127C2311yescharacteristic
115#529—48no—
116#529—48no—
117C2×#126—22no—
118C2×#126—22no—
119C2×#125—21no—
120C2×#125C2312yes—
121C2×#124—21no—
122C2×#124—21no—
123C2×#124C2312yes—
124C2×#124C2312yes—
125C2×#123—22no—
126C2×#123—22no—
127C2×C22⋊Q8—21no—
128C2×C22⋊Q8C2312yes—
129C2×#121—21no—
130C2×#121—21no—
131C2×#121—21no—
132C2×#121—21no—
133C2×#121C2312yes—
134C2×#121C2312yes—
135C2×C4×Q8—21no—
136C2×C4×Q8C2312yes—
137C2×C4×D4—22no—
138C2×C4×D4—22no—
139C2×C4×D4—21no—
140C2×C4×D4—21no—
141C2×C4×D4—21no—
142C2×C4×D4—21no—
143C2×C4×D4C2312yes—
144C2×C4×D4C2312yes—
145C2×#117—22no—
146C2×#117—22no—
147C22×C42D411yescharacteristic
148C22×C42D411yescharacteristic
149C22×C42D411yescharacteristic
150C22×C42D411yescharacteristic
151C22×C42C2311yescharacteristic
152C22×C42C2311yescharacteristic
153C22×C42C2311yescharacteristic
154#493—24no—
155#492—24no—
156#487—24no—
157#486—24no—
158#469—48no—
159#468—48no—
160C2×#107C2314yes—
161C2×#106C2314yes—
162C2×#103C2314yes—
163C2×#103C2314yes—
164C2×#103C2314yes—
165C2×#102C2314yes—
166C2×#102C2314yes—
167C2×#102C2314yes—
168C2×#102C2314yes—
169C2×#102C2314yes—
170C4×M16—24no—
171C4×M16—24no—
172C2×#97C2312yes—
173C2×#97C2312yes—
174C2×C4×C8C2311yescharacteristic
175C2×C4×C8C2311yescharacteristic
176C2×C4×C8C2311yescharacteristic
177C2×C4×C8C2311yescharacteristic
178#391—21no—
179#391—21no—
180#391C2312yes—
181#391C2312yes—
182#390—21no—
183#390—21no—
184#390—21no—
185#390—21no—
186#390—21no—
187#390—21no—
188#390—21no—
189#390—21no—
190#390—21no—
191#390—21no—
192#390—21no—
193#390—21no—
194#390—21no—
195#390—21no—
196#390C2312yes—
197#390C2312yes—
198#390C2312yes—
199#390C2312yes—
200#390C2312yes—
201#390C2312yes—
202#389—21no—
203#389—21no—
204#389—21no—
205#389—21no—
206#389—21no—
207#389—21no—
208#389—21no—
209#389—21no—
210#389—21no—
211#389—21no—
212#389—21no—
213#389—21no—
214#389C2312yes—
215#389C2312yes—
216#389C2312yes—
217#389C2312yes—
218#388—22no—
219#388—22no—
220#388—22no—
221#388—22no—
222#388—22no—
223#388—22no—
224#388—22no—
225#388—22no—
226#388—22no—
227#388—22no—
228#388—22no—
229#388—22no—
230#388—22no—
231#388—22no—
232#388—22no—
233#388—22no—
234#386—22no—
235#386—22no—
236#386—22no—
237#386—22no—
238#384C2311yescharacteristic
239#384C2311yescharacteristic
240#384C2311yescharacteristic
241#384C2311yescharacteristic
242#382—21no—
243#382C2312yes—
244#380—21no—
245#380—21no—
246#380—21no—
247#380C2312yes—
248C4×C4⋊C4—21no—
249C4×C4⋊C4—21no—
250C4×C4⋊C4—21no—
251C4×C4⋊C4C2312yes—
252C4×C22⋊C4—22no—
253C4×C22⋊C4—22no—
254C4×C22⋊C4—22no—
255C4×C22⋊C4—22no—
256C43D411yescharacteristic
257C43D411yescharacteristic
258C43D411yescharacteristic
259C43D411yescharacteristic
260C43C2311yescharacteristic
261C43C2311yescharacteristic
262C43C2311yescharacteristic
263C43C2311yescharacteristic
264#340C2314yes—
265#340C2314yes—
266#340C2314yes—
267#340C2314yes—
268#336C2312yes—
269#336C2312yes—
270#336C2312yes—
271#336C2312yes—
272#336C2312yes—
273#336C2312yes—
274#336C2312yes—
275#336C2312yes—
276C22×Q8—21no—
277C22×Q8C2412yes—
278C22×D4—22no—
279C22×D4—22no—
280C22×D4—21no—
281C22×D4—21no—
282C22×D4—21no—
283C22×D4—21no—
284C22×D4C2412yes—
285C22×D4C2412yes—
286C23×C4—22no—
287C23×C4—22no—
288C23×C4C2×D411yescharacteristic
289C23×C4C2×D411yescharacteristic
290C23×C4C2×D411yescharacteristic
291C23×C4C2×D411yescharacteristic
292C23×C4C2×D411yescharacteristic
293C23×C4C2×D411yescharacteristic
294C23×C4C2411yescharacteristic
295C2×SD16—28no—
296C2×SD16—44no—
297C2×SD16—44no—
298C2×D8—28no—
299C2×D8—44no—
300C2×D8—44no—
301C2×M16—24no—
302C2×M16—24no—
303C2×M16—24no—
304C2×M16—24no—
305C2×M16—42no—
306C2×M16—42no—
307C22×C8C2412yes—
308C22×C8C2412yes—
309C22×C8C2412yes—
310C22×C8C2412yes—
311C4⋊Q8—22no—
312C4⋊Q8—22no—
313C4⋊Q8—22no—
314C4⋊Q8—22no—
315#127—22no—
316#127—22no—
317#127—22no—
318#127—22no—
319#126—48no—
320#126—48no—
321#125—44no—
322#125—44no—
323#124—44no—
324#124—44no—
325#124—44no—
326#124—44no—
327#123—48no—
328#123—48no—
329C22⋊Q8—28no—
330C22⋊Q8—44no—
331#121—28no—
332#121—28no—
333#121—44no—
334#121—44no—
335#121—44no—
336#121—44no—
337C4×Q8—44no—
338C4×Q8—44no—
339C4×D4—44no—
340C4×D4—44no—
341C4×D4—44no—
342C4×D4—44no—
343C4×D4—48no—
344C4×D4—48no—
345C4×D4—44no—
346C4×D4—44no—
347#117—48no—
348#117—48no—
349C2×C4⋊C4—22no—
350C2×C4⋊C4—22no—
351C2×C4⋊C4—22no—
352C2×C4⋊C4—22no—
353C2×C4⋊C4—21no—
354C2×C4⋊C4—22no—
355C2×C4⋊C4—22no—
356C2×C4⋊C4—21no—
357C2×C4⋊C4—21no—
358C2×C4⋊C4—21no—
359C2×C4⋊C4—21no—
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⋊C4C2412yes—
369C2×C4⋊C4C2412yes—
370C2×C4⋊C4C2412yes—
371C2×C4⋊C4C2412yes—
372C2×C4⋊C4C2412yes—
373C2×C22⋊C4—22no—
374C2×C22⋊C4—22no—
375C2×C22⋊C4—22no—
376C2×C22⋊C4—22no—
377C2×C22⋊C4—22no—
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⋊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×C42—24no—
396C2×C42—24no—
397C2×C42—22no—
398C2×C42—22no—
399C2×C42—22no—
400C2×C42—22no—
401C2×C42—42no—
402C2×C42—42no—
403C2×C42—42no—
404C2×C42—42no—
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×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×C42C2×D411yescharacteristic
424C2×C42C2×D411yescharacteristic
425C2×C42C2×D411yescharacteristic
426C2×C42C2×D411yescharacteristic
427C2×C42C2411yescharacteristic
428C2×C42C2411yescharacteristic
429C2×C42C2411yescharacteristic
430C2×C42C2411yescharacteristic
431C2×C42C2411yescharacteristic
432C2×C42C2411yescharacteristic
433#107—44no—
434#106—44no—
435#103—28no—
436#103—44no—
437#103—44no—
438#102—28no—
439#102—44no—
440#102—44no—
441#102—44no—
442#102—44no—
443#97—24no—
444#97—24no—
445C4×C8—22no—
446C4×C8—22no—
447C4×C8#4114yes—
448C4×C8#4114yes—
449#95—22no—
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#95—22no—
459#95—22no—
460#95—22no—
461C24—22no—
462C24—22no—
463C24C22×D411yescharacteristic
464C2×Q8—22no—
465C2×Q8—22no—
466C2×Q8—24no—
467C2×Q8—24no—
468C2×Q8—42no—
469C2×Q8—42no—
470C2×Q8—42no—
471C2×D4—22no—
472C2×D4—22no—
473C2×D4—22no—
474C2×D4—22no—
475C2×D4—24no—
476C2×D4—24no—
477C2×D4—24no—
478C2×D4—24no—
479C2×D4—44no—
480C2×D4—44no—
481C2×D4—44no—
482C2×D4—44no—
483C2×D4—44no—
484C2×D4—44no—
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×D4—42no—
496C2×D4—42no—
497C22×C4—21no—
498C22×C4—21no—
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—22no—
510C22×C4—22no—
511C22×C4—22no—
512C22×C4—22no—
513C22×C4—22no—
514C22×C4—22no—
515C22×C4—22no—
516C22×C4—41no—
517C22×C4—41no—
518C22×C4—41no—
519C22×C4—41no—
520C22×C4—41no—
521C22×C4—41no—
522C22×C4—41no—
523C22×C4—41no—
524C22×C4—44no—
525C22×C4—44no—
526C22×C4—44no—
527C22×C4—44no—
528C22×C4—44no—
529C22×C4—44no—
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×C4C22×D411yescharacteristic
540C22×C4C22×D411yescharacteristic
541C22×C4C22×D411yescharacteristic
542C22×C4C22×D411yescharacteristic
543C22×C4H(5,𝔽2)14yes—
544C22×C4C2511yescharacteristic
545SD16—88no—
546D8—88no—
547M16—48no—
548M16—48no—
549C2×C8—22no—
550C2×C8—22no—
551C2×C8—22no—
552C2×C8—22no—
553C2×C8—22no—
554C2×C8—22no—
555C2×C8—22no—
556C2×C8—22no—
557C2×C8—22no—
558C2×C8—22no—
559C2×C8C2×#4114yes—
560C2×C8C2×#4114yes—
561C4⋊C4—22no—
562C4⋊C4—22no—
563C4⋊C4—24no—
564C4⋊C4—24no—
565C4⋊C4—24no—
566C4⋊C4—24no—
567C4⋊C4—44no—
568C4⋊C4—44no—
569C4⋊C4—44no—
570C4⋊C4—44no—
571C4⋊C4—44no—
572C4⋊C4—44no—
573C4⋊C4—42no—
574C4⋊C4—42no—
575C4⋊C4—42no—
576C4⋊C4—44no—
577C4⋊C4—42no—
578C4⋊C4—42no—
579C4⋊C4—42no—
580C4⋊C4—44no—
581C4⋊C4—42no—
582C4⋊C4—42no—
583C4⋊C4—42no—
584C4⋊C4—42no—
585C4⋊C4—42no—
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—44no—
597C22⋊C4—44no—
598C22⋊C4—44no—
599C22⋊C4—44no—
600C22⋊C4—44no—
601C22⋊C4—44no—
602C22⋊C4—44no—
603C22⋊C4—44no—
604C22⋊C4—44no—
605C22⋊C4—44no—
606C22⋊C4—44no—
607C22⋊C4—44no—
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—22no—
621C42—21no—
622C42—21no—
623C42—22no—
624C42—22no—
625C42—22no—
626C42—22no—
627C42—41no—
628C42—41no—
629C42—41no—
630C42—41no—
631C42—41no—
632C42—41no—
633C42—41no—
634C42—41no—
635C42—44no—
636C42—44no—
637C42AGL(1,ℤ/8)14yes—
638C42C2×#4112yes—
639C42C2×#4112yes—
640C23—21no—
641C23—21no—
642C23—21no—
643C23—21no—
644C23—21no—
645C23—21no—
646C23—42no—
647C23—42no—
648C23—42no—
649C23—42no—
650C23—42no—
651C23—42no—
652C23—42no—
653C23—42no—
654C23—42no—
655C23—42no—
656C23—42no—
657C23—42no—
658C23—42no—
659C23—42no—
660C23#53512yes—
661C23C23×D411yescharacteristic
662Q8—44no—
663Q8—44no—
664Q8—84no—
665D4—44no—
666D4—44no—
667D4—44no—
668D4—44no—
669D4—88no—
670D4—88no—
671D4—84no—
672D4—84no—
673D4—84no—
674D4—84no—
675C2×C4—21no—
676C2×C4—21no—
677C2×C4—21no—
678C2×C4—21no—
679C2×C4—21no—
680C2×C4—21no—
681C2×C4—24no—
682C2×C4—24no—
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—21no—
693C2×C4—21no—
694C2×C4—21no—
695C2×C4—21no—
696C2×C4—21no—
697C2×C4—21no—
698C2×C4—21no—
699C2×C4—21no—
700C2×C4—21no—
701C2×C4—21no—
702C2×C4—21no—
703C2×C4—21no—
704C2×C4—21no—
705C2×C4—21no—
706C2×C4—21no—
707C2×C4—44no—
708C2×C4—44no—
709C2×C4—44no—
710C2×C4—44no—
711C2×C4—44no—
712C2×C4—44no—
713C2×C4—42no—
714C2×C4—42no—
715C2×C4—42no—
716C2×C4—42no—
717C2×C4—42no—
718C2×C4—42no—
719C2×C4—42no—
720C2×C4—42no—
721C2×C4—42no—
722C2×C4—42no—
723C2×C4—42no—
724C2×C4—42no—
725C2×C4—42no—
726C2×C4—42no—
727C2×C4—42no—
728C2×C4—42no—
729C2×C4—42no—
730C2×C4—42no—
731C2×C4—88no—
732C2×C4—88no—
733C2×C4#53212yes—
734C2×C4#53212yes—
735C2×C4#53512yes—
736C2×C4C2×AGL(1,ℤ/8)12yes—
737C2×C4C2×AGL(1,ℤ/8)12yes—
738C2×C4C2×AGL(1,ℤ/8)12yes—
739C2×C4#57512yes—
740C2×C4#57512yes—
741C2×C4#57512yes—
742C2×C4C22×#4111yescharacteristic
743C2×C4C22×#4111yescharacteristic
744C2×C4C2×H(5,𝔽2)12yes—
745C2×C4#58512yes—
746C8—24no—
747C8—24no—
748C8—42no—
749C8—42no—
750C22—22no—
751C22—22no—
752C22—22no—
753C22—41no—
754C22—41no—
755C22—41no—
756C22—41no—
757C22—82no—
758C22—82no—
759C22—82no—
760C22—82no—
761C22—82no—
762C22—82no—
763C22—82no—
764C22—82no—
765C22—82no—
766C22—82no—
767C22—82no—
768C22—82no—
769C22—82no—
770C22—82no—
771C22C2×#53211yescharacteristic
772C22C2×#53511yescharacteristic
773C22#344911yescharacteristic
774C22C22×AGL(1,ℤ/8)11yescharacteristic
775C22C2×#57511yescharacteristic
776C22C2×#57511yescharacteristic
777C22C2×#57511yescharacteristic
778C4—22no—
779C4—22no—
780C4—22no—
781C4—41no—
782C4—41no—
783C4—41no—
784C4—41no—
785C4—41no—
786C4—41no—
787C4—41no—
788C4—41no—
789C4—82no—
790C4—82no—
791C4—82no—
792C4—82no—
793C4—82no—
794C4—82no—
795C4#317114yes—
796C4#318314yes—
797C4#349412yes—
798C4#349412yes—
799C2—42no—
800C2—162no—
801C2—162no—
802C2#3530311yescharacteristic
803C2C2×#317111yescharacteristic
804C2C2×#318311yescharacteristic
805C2#6080111yescharacteristic
806C2#6080311yescharacteristic
807C2#6096511yescharacteristic
808C2#6097211yescharacteristic
subgroupG/H
center, socleC23C23×D4
commutator, Frattini, cosocleC22×C4C25
prime radical#33175C2
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C23 ◁ C2×C43 ◁ G
LECSG ▷ C22×C4 ▷ C2 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #36631C2semidirect
2. #36631C2semidirect
4. #33174C2semidirect
5. #33049C2semidirect
6. #33048C2semidirect
7. #30307C2semidirect
8. #30260C2semidirect
9. #30219C2semidirect
10. #30204C2semidirect
11. #29562C2semidirect
12. #29503C2semidirect
13. #28579C2semidirect
14. #25506C2semidirect
15. #22269C2semidirect
16. #22268C2semidirect
17. #22220C2semidirect
18. #22218C2semidirect
19. #20364C2semidirect

Maximal subgroups

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

subgroupindex
#366312
#331752
#331742
#330492
#330482
#303072
#302602
#302192
#302042
#295622
#295032
#285792
#255062
#222692
#222682
#222202
#222182
#203642