Finite Group Databasebeta

← #6594914

Subgroups — #6594914

Order 512.

1762 conjugacy classes of subgroups.

The subgroup lattice has 779 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#36182C211yesmaximal, characteristic
2#36181C211yesmaximal, characteristic, complemented
3#33258C211yesmaximal, characteristic, complemented
4#33042C211yesmaximal, characteristic, complemented
5#33042C211yesmaximal, characteristic, complemented
6#29192C211yesmaximal, characteristic, complemented
7#29178C211yesmaximal, characteristic, complemented
8#28841C214yesmaximal, complemented
9#28032C214yesmaximal, complemented
10#27950C211yesmaximal, characteristic, complemented
11#27909C211yesmaximal, characteristic, complemented
12#27891C211yesmaximal, characteristic, complemented
13#27877C211yesmaximal, characteristic, complemented
14#25232C214yesmaximal, complemented
15#22916C214yesmaximal, complemented
16C4×#486C211yesmaximal, characteristic, complemented
17#20817C211yesmaximal, characteristic, complemented
18C2×#1834C211yesmaximal, characteristic, complemented
19C4×C8×D4C211yesmaximal, characteristic, complemented
20C2×#553—21no—
21C2×#552—21no—
22C2×#486C2211yescharacteristic
23C2×#480C2214yes—
24C2×C8×D4C2212yes—
25C22×C4×C8C2211yescharacteristic
26C22×C4×C8C2211yescharacteristic
27#2859C2211yescharacteristic
28#2859C2211yescharacteristic
29#2857C2211yescharacteristic
30#2857C2211yescharacteristic
31#2856C2211yescharacteristic
32#2856C2211yescharacteristic
33#2566—21no—
34#2565—21no—
35#2512—21no—
36#2512C2212yes—
37#2506—21no—
38#2506C2212yes—
39#2504—21no—
40#2503—21no—
41#2500—21no—
42#2499—21no—
43#2496—21no—
44#2496C2212yes—
45#2486—21no—
46#2486C2212yes—
47#2422—21no—
48#2422C2212yes—
49#2416—21no—
50#2416C2212yes—
51#2361—21no—
52#2361C2212yes—
53#2344—21no—
54#2344C2212yes—
55C4×C4⋊Q8C2211yescharacteristic
56C4×#127C2211yescharacteristic
57#2285C2211yescharacteristic
58#2285C2211yescharacteristic
59C2×#384C2211yescharacteristic
60C2×#384C2211yescharacteristic
61C42×D4C2211yescharacteristic
62#2093C2214yes—
63#2086C2214yes—
64#2083C2214yes—
65#2075C2214yes—
66#2067C2214yes—
67#2033C2214yes—
68#1990C2211yescharacteristic
69#1990C2211yescharacteristic
70#1990C2211yescharacteristic
71#1957C2211yescharacteristic
72#1957C2211yescharacteristic
73#1957C2211yescharacteristic
74#1942C2214yes—
75#1942C2214yes—
76#1934C2214yes—
77#1934C2214yes—
78#1934C2214yes—
79#1925C2214yes—
80#1918C2214yes—
81#1918C2214yes—
82#1893C2214yes—
83#1893C2214yes—
84#1862C2214yes—
85#1852C2214yes—
86#1845C2211yescharacteristic
87#1845C2211yescharacteristic
88#1845C2211yescharacteristic
89#1845C2211yescharacteristic
90#1834C2211yescharacteristic
91#1834C2211yescharacteristic
92#1834C2211yescharacteristic
93#1834C2211yescharacteristic
94#1834C2214yes—
95#1834C2211yescharacteristic
96#1808C2214yes—
97C4×#107C2214yes—
98C8×C4⋊C4C2212yes—
99C4×C4⋊C8C2211yescharacteristic
100C4×#102C2214yes—
101C8×C22⋊C4C2212yes—
102C8×C22⋊C4C2212yes—
103C4×C22⋊C8C2211yescharacteristic
104C4×C22⋊C8C2211yescharacteristic
105C2×#340C2214yes—
106C42×C8C2211yescharacteristic
107C23×C8C2312yes—
108C23×C8C2312yes—
109#553—48no—
110#552—48no—
111C2×C4⋊Q8C2311yescharacteristic
112C2×#127C2311yescharacteristic
113C2×#126—22no—
114C2×#126—22no—
115C2×#125—22no—
116C2×#125—21no—
117C2×#125—21no—
118C2×#123—22no—
119C2×#123—22no—
120C2×C22⋊Q8—21no—
121C2×C22⋊Q8—21no—
122C2×#121—22no—
123C2×#121—21no—
124C2×#121—21no—
125C2×#121—21no—
126C2×#121—21no—
127C2×#121C2312yes—
128C2×#121C2312yes—
129C2×C4×Q8—21no—
130C2×C4×D4—22no—
131C2×C4×D4—21no—
132C2×C4×D4—21no—
133C2×C4×D4D411yescharacteristic
134C2×C4×D4D411yescharacteristic
135C2×C4×D4C2312yes—
136C2×C4×D4C2311yescharacteristic
137C2×#117—21no—
138C2×#117—21no—
139C2×#117—22no—
140C22×C4⋊C4—21no—
141C22×C4⋊C4—21no—
142C22×C4⋊C4—21no—
143C22×C4⋊C4—21no—
144C22×C4⋊C4C2312yes—
145C22×C4⋊C4C2312yes—
146C22×C42C2311yescharacteristic
147C22×C42C2311yescharacteristic
148#486—24no—
149#480—216no—
150C8×D4—28no—
151C2×#107C2314yes—
152C2×#107C2314yes—
153C2×#107C2314yes—
154C2×#107C2314yes—
155C2×C4⋊C8C2312yes—
156C2×#102C2314yes—
157C2×#102C2314yes—
158C2×#102C2314yes—
159C2×#102C2314yes—
160C2×C22⋊C8C2312yes—
161C2×C22⋊C8C2312yes—
162C2×C4×C8—24no—
163C2×C4×C8—24no—
164C2×C4×C8C2312yes—
165C2×C4×C8C2311yescharacteristic
166C2×C4×C8C2311yescharacteristic
167C2×C4×C8C2311yescharacteristic
168C2×C4×C8C2312yes—
169C2×C4×C8C2312yes—
170C2×C4×C8C2312yes—
171C2×C4×C8C2311yescharacteristic
172#400—22no—
173#400—22no—
174#398—22no—
175#398—22no—
176#397—22no—
177#397—22no—
178#397—22no—
179#397—22no—
180#396—22no—
181#396—22no—
182#394—22no—
183#394—22no—
184#391—21no—
185#391—21no—
186#391—21no—
187#390—21no—
188#390—21no—
189#390—21no—
190#390—21no—
191#390—21no—
192#390—21no—
193#390C2312yes—
194#390C2312yes—
195#390C2312yes—
196#389—21no—
197#389—21no—
198#389—21no—
199#389—21no—
200#389—21no—
201#389—21no—
202#389—21no—
203#389C2312yes—
204#389C2312yes—
205#389C2312yes—
206#389C2312yes—
207#389C2312yes—
208#389C2312yes—
209#389C2312yes—
210#388—22no—
211#388—22no—
212#387—22no—
213#387—22no—
214#387—22no—
215#387—22no—
216#386—22no—
217#386—22no—
218#385—22no—
219#385—22no—
220#384—21no—
221#384—21no—
222#384—21no—
223#384—21no—
224#384C2311yescharacteristic
225#384C2311yescharacteristic
226#384C2312yes—
227#384C2311yescharacteristic
228#384C2311yescharacteristic
229#384C2311yescharacteristic
230#384C2311yescharacteristic
231#384C2312yes—
232#382—21no—
233#382—21no—
234#382—21no—
235#382—21no—
236#381—22no—
237#381—22no—
238#380—21no—
239#380—21no—
240#380—21no—
241#380—21no—
242#380C2312yes—
243#380C2312yes—
244#380C2312yes—
245#380C2312yes—
246C4×C4⋊C4—21no—
247C4×C4⋊C4—21no—
248C4×C4⋊C4—21no—
249C4×C4⋊C4D411yescharacteristic
250C4×C4⋊C4D411yescharacteristic
251C4×C4⋊C4C2312yes—
252C4×C4⋊C4C2312yes—
253C4×C4⋊C4C2312yes—
254C4×C4⋊C4C2311yescharacteristic
255C4×C22⋊C4D411yescharacteristic
256C4×C22⋊C4D411yescharacteristic
257C4×C22⋊C4D411yescharacteristic
258C4×C22⋊C4D411yescharacteristic
259C4×C22⋊C4C2311yescharacteristic
260C4×C22⋊C4C2311yescharacteristic
261C43C2311yescharacteristic
262#340C2314yes—
263#340C2314yes—
264#340C2314yes—
265#340C2314yes—
266#340C2314yes—
267#340C2314yes—
268#340C2314yes—
269#340C2314yes—
270#336C2312yes—
271#336C2312yes—
272#336C2312yes—
273C22×Q8—21no—
274C22×D4—22no—
275C22×D4—22no—
276C22×D4—21no—
277C22×D4—21no—
278C22×D4C2×D411yescharacteristic
279C22×D4C2412yes—
280C23×C4—22no—
281C23×C4—22no—
282C23×C4—22no—
283C23×C4C2×D411yescharacteristic
284C23×C4C2×D411yescharacteristic
285C23×C4C2×D411yescharacteristic
286C23×C4C2×D411yescharacteristic
287C23×C4C2411yescharacteristic
288C23×C4C2411yescharacteristic
289C22×C8—24no—
290C22×C8—24no—
291C22×C8—24no—
292C22×C8—24no—
293C22×C8—42no—
294C22×C8—42no—
295C22×C8C2412yes—
296C22×C8C2412yes—
297C22×C8C2412yes—
298C22×C8C2412yes—
299C4⋊Q8—22no—
300C4⋊Q8—22no—
301#127—22no—
302#127—22no—
303#126—48no—
304#126—48no—
305#125—48no—
306#125—44no—
307#125—44no—
308#123—48no—
309#123—48no—
310C22⋊Q8—44no—
311C22⋊Q8—44no—
312#121—28no—
313#121—48no—
314#121—44no—
315#121—44no—
316#121—44no—
317#121—44no—
318#121—82no—
319C4×Q8—44no—
320C4×D4—24no—
321C4×D4—24no—
322C4×D4—44no—
323C4×D4—48no—
324C4×D4—44no—
325C4×D4—82no—
326C4×D4D818yes—
327#117—44no—
328#117—44no—
329#117—48no—
330C2×C4⋊C4—28no—
331C2×C4⋊C4—21no—
332C2×C4⋊C4—21no—
333C2×C4⋊C4—21no—
334C2×C4⋊C4—21no—
335C2×C4⋊C4—21no—
336C2×C4⋊C4—21no—
337C2×C4⋊C4—22no—
338C2×C4⋊C4—22no—
339C2×C4⋊C4—21no—
340C2×C4⋊C4—21no—
341C2×C4⋊C4—22no—
342C2×C4⋊C4—22no—
343C2×C4⋊C4—21no—
344C2×C4⋊C4—21no—
345C2×C4⋊C4—22no—
346C2×C4⋊C4—22no—
347C2×C4⋊C4—22no—
348C2×C4⋊C4—22no—
349C2×C4⋊C4—22no—
350C2×C4⋊C4—21no—
351C2×C4⋊C4—22no—
352C2×C4⋊C4—22no—
353C2×C4⋊C4—21no—
354C2×C4⋊C4—21no—
355C2×C4⋊C4—22no—
356C2×C4⋊C4—22no—
357C2×C4⋊C4—44no—
358C2×C4⋊C4—44no—
359C2×C4⋊C4—44no—
360C2×C4⋊C4—44no—
361C2×C4⋊C4—82no—
362C2×C4⋊C4C2×D411yescharacteristic
363C2×C4⋊C4C2×D411yescharacteristic
364C2×C4⋊C4C2×D411yescharacteristic
365C2×C4⋊C4C2412yes—
366C2×C4⋊C4C2412yes—
367C2×C4⋊C4C2412yes—
368C2×C4⋊C4C2412yes—
369C2×C4⋊C4C2412yes—
370C2×C4⋊C4C2412yes—
371C2×C4⋊C4C2412yes—
372C2×C22⋊C4—22no—
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⋊C4C2×D411yescharacteristic
386C2×C22⋊C4C2×D411yescharacteristic
387C2×C22⋊C4C2×D411yescharacteristic
388C2×C22⋊C4C2×D411yescharacteristic
389C2×C22⋊C4C2×D411yescharacteristic
390C2×C22⋊C4C2×D411yescharacteristic
391C2×C42—22no—
392C2×C42—22no—
393C2×C42—22no—
394C2×C42—22no—
395C2×C42—22no—
396C2×C42—22no—
397C2×C42—22no—
398C2×C42C2×D411yescharacteristic
399C2×C42C2×D411yescharacteristic
400C2×C42C2×D411yescharacteristic
401C2×C42C2×D411yescharacteristic
402C2×C42C2×D411yescharacteristic
403C2×C42C2×D411yescharacteristic
404C2×C42C2×D411yescharacteristic
405C2×C42C2×D411yescharacteristic
406C2×C42C2411yescharacteristic
407C2×C42C2411yescharacteristic
408C2×C42C2411yescharacteristic
409C2×C42C2411yescharacteristic
410C2×C42C2411yescharacteristic
411#107—28no—
412#107—28no—
413#107—44no—
414#107—44no—
415C4⋊C8—24no—
416#102—28no—
417#102—28no—
418#102—28no—
419#102—44no—
420C22⋊C8—24no—
421C22⋊C8#4118yes—
422C4×C8—24no—
423C4×C8—24no—
424C4×C8—24no—
425C4×C8—22no—
426C4×C8—22no—
427C4×C8—22no—
428C4×C8—42no—
429C4×C8#4114yes—
430#95—22no—
431#95—22no—
432#95—22no—
433#95—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#95C2×D411yescharacteristic
445#95C2×D411yescharacteristic
446#95C2×D411yescharacteristic
447#95C2×D411yescharacteristic
448#95C2×D411yescharacteristic
449#95C2×D411yescharacteristic
450C24—22no—
451C24C22×D411yescharacteristic
452C24C22×D411yescharacteristic
453C2×Q8—42no—
454C2×Q8—42no—
455C2×Q8—42no—
456C2×D4—22no—
457C2×D4—22no—
458C2×D4—24no—
459C2×D4—22no—
460C2×D4—22no—
461C2×D4—24no—
462C2×D4—44no—
463C2×D4—44no—
464C2×D4—44no—
465C2×D4—44no—
466C2×D4—42no—
467C2×D4—42no—
468C2×D4—42no—
469C2×D4—42no—
470C2×D4—42no—
471C2×D4—42no—
472C2×D4—82no—
473C2×D4—82no—
474C2×D4C2×D814yes—
475C22×C4—22no—
476C22×C4—22no—
477C22×C4—22no—
478C22×C4—22no—
479C22×C4—22no—
480C22×C4—22no—
481C22×C4—21no—
482C22×C4—21no—
483C22×C4—22no—
484C22×C4—22no—
485C22×C4—22no—
486C22×C4—22no—
487C22×C4—22no—
488C22×C4—21no—
489C22×C4—21no—
490C22×C4—22no—
491C22×C4—22no—
492C22×C4—22no—
493C22×C4—22no—
494C22×C4—22no—
495C22×C4—22no—
496C22×C4—22no—
497C22×C4—22no—
498C22×C4—44no—
499C22×C4—44no—
500C22×C4—44no—
501C22×C4—44no—
502C22×C4—44no—
503C22×C4—82no—
504C22×C4—82no—
505C22×C4—82no—
506C22×C4—82no—
507C22×C4C2×D814yes—
508C22×C4C2×D814yes—
509C22×C4#13514yes—
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×C4C2×#4114yes—
523C22×C4C2511yescharacteristic
524C2×C8—22no—
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—48no—
534C2×C8—48no—
535C2×C8C2×#4114yes—
536C2×C8C2×#4114yes—
537C2×C8C2×#4114yes—
538C4⋊C4—22no—
539C4⋊C4—22no—
540C4⋊C4—22no—
541C4⋊C4—24no—
542C4⋊C4—24no—
543C4⋊C4—24no—
544C4⋊C4—22no—
545C4⋊C4—24no—
546C4⋊C4—24no—
547C4⋊C4—24no—
548C4⋊C4—44no—
549C4⋊C4—42no—
550C4⋊C4—42no—
551C4⋊C4—42no—
552C4⋊C4—42no—
553C4⋊C4—42no—
554C4⋊C4—44no—
555C4⋊C4—44no—
556C4⋊C4—42no—
557C4⋊C4—42no—
558C4⋊C4—44no—
559C4⋊C4—44no—
560C4⋊C4—44no—
561C4⋊C4—44no—
562C4⋊C4—44no—
563C4⋊C4—44no—
564C4⋊C4—44no—
565C4⋊C4—44no—
566C4⋊C4—42no—
567C4⋊C4—42no—
568C4⋊C4—42no—
569C4⋊C4—42no—
570C4⋊C4—42no—
571C4⋊C4—42no—
572C4⋊C4—82no—
573C4⋊C4—82no—
574C4⋊C4C2×D814yes—
575C22⋊C4—22no—
576C22⋊C4—22no—
577C22⋊C4—22no—
578C22⋊C4—22no—
579C22⋊C4—44no—
580C22⋊C4—44no—
581C22⋊C4—44no—
582C22⋊C4—44no—
583C22⋊C4—44no—
584C22⋊C4—44no—
585C22⋊C4—44no—
586C22⋊C4—44no—
587C22⋊C4—44no—
588C22⋊C4—82no—
589C22⋊C4—82no—
590C22⋊C4—82no—
591C22⋊C4—82no—
592C22⋊C4C2×D814yes—
593C22⋊C4C2×D814yes—
594C42—22no—
595C42—22no—
596C42—22no—
597C42—22no—
598C42—22no—
599C42—22no—
600C42—22no—
601C42—21no—
602C42—21no—
603C42—22no—
604C42—21no—
605C42—21no—
606C42—22no—
607C42—44no—
608C42—44no—
609C42—44no—
610C42C2×D814yes—
611C42C2×#4112yes—
612C422−1+412yes—
613C23—21no—
614C23—21no—
615C23—21no—
616C23—21no—
617C23—21no—
618C23—21no—
619C23—21no—
620C23—21no—
621C23—21no—
622C23—21no—
623C23—42no—
624C23—42no—
625C23—42no—
626C23—42no—
627C23—42no—
628C23—42no—
629C23—42no—
630C23#53212yes—
631C23C22×D812yes—
632C23C22×D812yes—
633C23C2×#13512yes—
634C23C23×D411yescharacteristic
635Q8—84no—
636D4—28no—
637D4—44no—
638D4—44no—
639D4—88no—
640D4—84no—
641D4—84no—
642D4—164no—
643C2×C4—21no—
644C2×C4—21no—
645C2×C4—21no—
646C2×C4—21no—
647C2×C4—21no—
648C2×C4—21no—
649C2×C4—21no—
650C2×C4—21no—
651C2×C4—21no—
652C2×C4—21no—
653C2×C4—21no—
654C2×C4—21no—
655C2×C4—28no—
656C2×C4—28no—
657C2×C4—28no—
658C2×C4—24no—
659C2×C4—24no—
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—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—42no—
695C2×C4—42no—
696C2×C4—88no—
697C2×C4—164no—
698C2×C4—164no—
699C2×C4#53212yes—
700C2×C4#54712yes—
701C2×C4#54712yes—
702C2×C4C22×D812yes—
703C2×C4C22×D812yes—
704C2×C4C22×D812yes—
705C2×C4C22×D812yes—
706C2×C4C22×D812yes—
707C2×C4C2×#13512yes—
708C2×C4C2×#13512yes—
709C2×C4#57712yes—
710C2×C4#57812yes—
711C2×C4C22×#4111yescharacteristic
712C2×C4C22×#4112yes—
713C2×C4C2×2−1+411yescharacteristic
714C2×C4#58512yes—
715C8—24no—
716C8—24no—
717C8—24no—
718C8—42no—
719C22—22no—
720C22—22no—
721C22—22no—
722C22—22no—
723C22—22no—
724C22—22no—
725C22—22no—
726C22—22no—
727C22—22no—
728C22—41no—
729C22—41no—
730C22—41no—
731C22—41no—
732C22—82no—
733C22—82no—
734C22—82no—
735C22—82no—
736C22—82no—
737C22—82no—
738C22—82no—
739C22#316914yes—
740C22C2×#53211yescharacteristic
741C22C2×#54711yescharacteristic
742C22#350011yescharacteristic
743C22C23×D811yescharacteristic
744C22C22×#13511yescharacteristic
745C22C2×#57711yescharacteristic
746C22C2×#57811yescharacteristic
747C4—22no—
748C4—22no—
749C4—22no—
750C4—22no—
751C4—22no—
752C4—22no—
753C4—41no—
754C4—41no—
755C4—41no—
756C4—41no—
757C4—82no—
758C4—82no—
759C4—82no—
760C4—82no—
761C4—82no—
762C4—82no—
763C4—82no—
764C4#333414yes—
765C4#333714yes—
766C4#347512yes—
767C4#351512yes—
768C2—24no—
769C2—42no—
770C2—162no—
771C2#3618411yescharacteristic
772C2C2×#316911yescharacteristic
773C2#6072311yescharacteristic
774C2C2×#333411yescharacteristic
775C2C2×#333711yescharacteristic
776C2#6252811yescharacteristic
777C2#6252911yescharacteristic
subgroupG/H
center, socleC23C23×D4
commutator, Frattini, cosocleC22×C4C25
prime radical#36182C2
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. #36181C2semidirect
3. #33258C2semidirect
4. #33042C2semidirect
5. #33042C2semidirect
6. #29192C2semidirect
7. #29178C2semidirect
8. #28841C2semidirect
9. #28032C2semidirect
10. #27950C2semidirect
11. #27909C2semidirect
12. #27891C2semidirect
13. #27877C2semidirect
14. #25232C2semidirect
15. #22916C2semidirect
16. C4×#486C2semidirect
17. #20817C2semidirect
18. C2×#1834C2semidirect
19. C4×C8×D4C2semidirect

Maximal subgroups

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

subgroupindex
#361822
#361812
#332582
#330422
#291922
#291782
#288412
#280322
#279502
#279092
#278912
#278772
#252322
#229162
C4×#4862
#208172
C2×#18342
C4×C8×D42