Finite Group Databasebeta

← #6376569

Subgroups — #6376569

Order 512.

1908 conjugacy classes of subgroups.

The subgroup lattice has 765 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3182C211yesmaximal, characteristic
2#34226C211yesmaximal, characteristic
3#34225C211yesmaximal, characteristic, complemented
4#22268C211yesmaximal, characteristic, complemented
5#22268C211yesmaximal, characteristic, complemented
6#22248C211yesmaximal, characteristic, complemented
7#22247C211yesmaximal, characteristic, complemented
8#22221C211yesmaximal, characteristic, complemented
9#22220C211yesmaximal, characteristic, complemented
10#22219C211yesmaximal, characteristic, complemented
11#22218C211yesmaximal, characteristic, complemented
12#22201C214yesmaximal, complemented
13#22200C214yesmaximal, complemented
14#21401C211yesmaximal, characteristic
15#21400C211yesmaximal, characteristic, complemented
16#21128C214yesmaximal, complemented
17#21125C214yesmaximal, complemented
18#20824C211yesmaximal, characteristic, complemented
19#20366C211yesmaximal, characteristic, complemented
20C2×#533C2211yescharacteristic
21C2×#532C2211yescharacteristic
22#3182C4116yescomplemented
23C2×#500C2211yescharacteristic
24C2×#492C2211yescharacteristic
25C2×#487C2211yescharacteristic
26C2×#486C2211yescharacteristic
27C2×#468C2214yes—
28C2×#440C2214yes—
29C2×C4×M16C2211yescharacteristic
30C22×C4×C8C2211yescharacteristic
31#2370—21no—
32#2370—21no—
33#2367—21no—
34#2367—21no—
35#2363—21no—
36#2363—21no—
37#2362—21no—
38#2362—21no—
39#2357—21no—
40#2356—21no—
41#2351—21no—
42#2349—21no—
43#2347—21no—
44#2346—21no—
45#2341—21no—
46#2339—21no—
47#2324C2212yes—
48#2324C2212yes—
49#2323C2212yes—
50#2323C2212yes—
51#2320C2212yes—
52#2319C2212yes—
53C4×C4⋊Q8C2211yescharacteristic
54C4×C4⋊Q8C2211yescharacteristic
55C4×C4⋊Q8C2211yescharacteristic
56C4×C4⋊Q8C2211yescharacteristic
57C4×C4⋊Q8C2211yescharacteristic
58C4×C4⋊Q8C2211yescharacteristic
59C4×#127C2211yescharacteristic
60C4×#127C2211yescharacteristic
61#2285C2211yescharacteristic
62#2285C2211yescharacteristic
63#2276C2212yes—
64#2275C2212yes—
65C4×#117C2211yescharacteristic
66#1990C2211yescharacteristic
67#1990C2211yescharacteristic
68#1990C2211yescharacteristic
69#1990C2211yescharacteristic
70#1957C2211yescharacteristic
71#1957C2211yescharacteristic
72#1956C2211yescharacteristic
73#1956C2211yescharacteristic
74#1928C2214yes—
75#1927C2214yes—
76#1926C2214yes—
77#1925C2214yes—
78#1921C2214yes—
79#1921C2214yes—
80#1918C2214yes—
81#1918C2214yes—
82#1893C2214yes—
83#1892C2214yes—
84#1880C2214yes—
85#1880C2214yes—
86#1877C2214yes—
87#1877C2214yes—
88#1865C2214yes—
89#1864C2214yes—
90#1863C2214yes—
91#1862C2214yes—
92#1845C2211yescharacteristic
93#1844C2211yescharacteristic
94#1834C2211yescharacteristic
95#1834C2211yescharacteristic
96#1809C2214yes—
97#1776C2214yes—
98C4×#103C2214yes—
99C4×#102C2214yes—
100#1746C2212yes—
101#1746C2212yes—
102#1744C2211yescharacteristic
103#1744C2211yescharacteristic
104#1744C2211yescharacteristic
105#1744C2211yescharacteristic
106#1729C2212yes—
107#1729C2212yes—
108C22×#41—21no—
109C22×SD16C2314yes—
110C22×M16C2312yes—
111C23×C8C2312yes—
112#533—24no—
113#533C2×C418yescomplemented
114#532—24no—
115#532C2×C418yes—
116C2×C4⋊Q8C2311yescharacteristic
117C2×C4⋊Q8C2311yescharacteristic
118C2×C4⋊Q8C2311yescharacteristic
119C2×#127C2311yescharacteristic
120C2×#125—21no—
121C2×#124—21no—
122C2×C22⋊Q8—21no—
123C2×C22⋊Q8C2312yes—
124C2×#121—21no—
125C2×#121C2312yes—
126C2×C4×Q8—21no—
127C2×C4×Q8—21no—
128C2×C4×Q8—21no—
129C2×C4×Q8—21no—
130C2×C4×Q8—21no—
131C2×C4×Q8C2312yes—
132C2×C4×Q8C2312yes—
133C2×C4×Q8C2312yes—
134C2×C4×D4—21no—
135C2×C4×D4—21no—
136C2×C4×D4—21no—
137C2×C4×D4—21no—
138C2×C4×D4—21no—
139C2×C4×D4C2312yes—
140C2×C4×D4C2312yes—
141C2×C4×D4C2312yes—
142C2×#117—21no—
143C2×#117—21no—
144C2×#117—21no—
145C2×#117C2311yescharacteristic
146C2×#117C2311yescharacteristic
147C22×C42C2311yescharacteristic
148#500C2×C418yescomplemented
149#492C2×C418yes—
150#487C2×C418yescomplemented
151#486C2×C418yes—
152#468C2×C4132yescomplemented
153#440C2×C4132yescomplemented
154C2×#107C2314yes—
155C2×#107C2314yes—
156C2×#106C2314yes—
157C2×#103C2314yes—
158C2×#103C2314yes—
159C2×#103C2314yes—
160C2×#102C2314yes—
161C2×#102C2314yes—
162C2×#102C2314yes—
163C4×M16C2×C418yescomplemented
164C2×#97C2312yes—
165C2×C4×C8—24no—
166C2×C4×C8C2311yescharacteristic
167C2×C4×C8C2311yescharacteristic
168C2×C4×C8C2312yes—
169C2×C4×C8C2311yescharacteristic
170C2×C4×C8C2311yescharacteristic
171#391—21no—
172#391—21no—
173#391—21no—
174#391—21no—
175#391C2312yes—
176#391C2312yes—
177#390—22no—
178#390—22no—
179#390—21no—
180#390—21no—
181#390—21no—
182#390—21no—
183#390C2312yes—
184#390C2312yes—
185#389—22no—
186#389—22no—
187#389—21no—
188#389—21no—
189#389—21no—
190#389—21no—
191#389—21no—
192#389—21no—
193#389—21no—
194#389—21no—
195#389C2312yes—
196#389C2312yes—
197#389C2312yes—
198#389C2312yes—
199#388—22no—
200#388—22no—
201#388—22no—
202#388—22no—
203#388—22no—
204#388—22no—
205#388—22no—
206#388—22no—
207#387—22no—
208#387—22no—
209#387—22no—
210#387—22no—
211#386—22no—
212#386—22no—
213#385—22no—
214#385—22no—
215#384C2311yescharacteristic
216#384C2311yescharacteristic
217#384C2311yescharacteristic
218#384C2311yescharacteristic
219#383—22no—
220#382—21no—
221#382—21no—
222#382—22no—
223#381—22no—
224#380—21no—
225#380—21no—
226#380—22no—
227#380C2312yes—
228#380C2312yes—
229C4×C4⋊C4—21no—
230C4×C4⋊C4—21no—
231C4×C4⋊C4—21no—
232C4×C4⋊C4—21no—
233C4×C4⋊C4—21no—
234C4×C4⋊C4—21no—
235C4×C4⋊C4—21no—
236C4×C4⋊C4—21no—
237C4×C4⋊C4—21no—
238C4×C4⋊C4—21no—
239C4×C4⋊C4—22no—
240C4×C4⋊C4—22no—
241C4×C4⋊C4—22no—
242C4×C4⋊C4D411yescharacteristic
243C4×C4⋊C4D411yescharacteristic
244C4×C4⋊C4D411yescharacteristic
245C4×C4⋊C4D411yescharacteristic
246C4×C4⋊C4C2312yes—
247C4×C4⋊C4C2312yes—
248C4×C4⋊C4C2312yes—
249C4×C4⋊C4C2312yes—
250C4×C4⋊C4C2312yes—
251C4×C4⋊C4C2312yes—
252C4×C22⋊C4—22no—
253C4×C22⋊C4—22no—
254C4×C22⋊C4—22no—
255C4×C22⋊C4D411yescharacteristic
256C4×C22⋊C4D411yescharacteristic
257C4×C22⋊C4D411yescharacteristic
258C4×C22⋊C4D411yescharacteristic
259#376—22no—
260#376C2311yescharacteristic
261#376C2311yescharacteristic
262C2×#95—22no—
263C43C2311yescharacteristic
264C43C2311yescharacteristic
265#340C2314yes—
266#340C2314yes—
267#340C2314yes—
268#340C2314yes—
269#340C2314yes—
270#340C2314yes—
271#336C2312yes—
272#336C2312yes—
273#336C2312yes—
274#336C2312yes—
275#336C2312yes—
276#336C2312yes—
277#336C2312yes—
278#336C2312yes—
279C2×#41—28no—
280C2×#41—82no—
281C2×#41—82no—
282C22×Q8—21no—
283C22×Q8—21no—
284C22×Q8C2412yes—
285C22×D4—22no—
286C22×D4—21no—
287C22×D4—21no—
288C22×D4C2412yes—
289C23×C4—22no—
290C23×C4—22no—
291C23×C4—22no—
292C23×C4C2×D411yescharacteristic
293C23×C4C2×D411yescharacteristic
294C23×C4C2411yescharacteristic
295C2×SD16—44no—
296C2×SD16—44no—
297C2×SD16C22×C4116yes—
298C2×M16—42no—
299C2×M16—42no—
300C2×M16C22×C418yes—
301C22×C8—24no—
302C22×C8—42no—
303C22×C8—42no—
304C22×C8C2412yes—
305C22×C8C2412yes—
306C22×C8C2412yes—
307C22×C8C2412yes—
308C4⋊Q8—22no—
309C4⋊Q8—22no—
310C4⋊Q8—22no—
311C4⋊Q8C22×C414yes—
312C4⋊Q8C22×C414yes—
313C4⋊Q8C22×C414yes—
314#127—22no—
315#127C22×C414yes—
316#125—28no—
317#124—28no—
318C22⋊Q8—28no—
319C22⋊Q8—24no—
320C22⋊Q8C22×C418yes—
321#121—28no—
322#121—24no—
323#121C22×C418yes—
324C4×Q8—28no—
325C4×Q8—24no—
326C4×Q8—44no—
327C4×Q8—44no—
328C4×Q8—82no—
329C4×Q8—82no—
330C4×Q8—82no—
331C4×Q8—82no—
332C4×Q8C22×C418yes—
333C4×D4—28no—
334C4×D4—24no—
335C4×D4—44no—
336C4×D4—44no—
337C4×D4—82no—
338C4×D4—82no—
339C4×D4—82no—
340C4×D4—82no—
341C4×D4C22×C418yes—
342#117—28no—
343#117—42no—
344#117—42no—
345#117—82no—
346#117—82no—
347C2×C4⋊C4—21no—
348C2×C4⋊C4—21no—
349C2×C4⋊C4—21no—
350C2×C4⋊C4—21no—
351C2×C4⋊C4—22no—
352C2×C4⋊C4—22no—
353C2×C4⋊C4—21no—
354C2×C4⋊C4—21no—
355C2×C4⋊C4—21no—
356C2×C4⋊C4—21no—
357C2×C4⋊C4—21no—
358C2×C4⋊C4—21no—
359C2×C4⋊C4—22no—
360C2×C4⋊C4—22no—
361C2×C4⋊C4—21no—
362C2×C4⋊C4—21no—
363C2×C4⋊C4—22no—
364C2×C4⋊C4—22no—
365C2×C4⋊C4—22no—
366C2×C4⋊C4—22no—
367C2×C4⋊C4C2×D411yescharacteristic
368C2×C4⋊C4C2×D411yescharacteristic
369C2×C4⋊C4C2×D411yescharacteristic
370C2×C4⋊C4C2×D411yescharacteristic
371C2×C4⋊C4C2412yes—
372C2×C4⋊C4C2412yes—
373C2×C4⋊C4C2412yes—
374C2×C4⋊C4C2412yes—
375C2×C4⋊C4C2412yes—
376C2×C4⋊C4C2412yes—
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⋊C4C2×D411yescharacteristic
389C2×C22⋊C4C2×D411yescharacteristic
390C2×C22⋊C4C2×D411yescharacteristic
391C2×C22⋊C4C2×D411yescharacteristic
392C2×C42—22no—
393C2×C42—22no—
394C2×C42—22no—
395C2×C42—22no—
396C2×C42—22no—
397C2×C42—22no—
398C2×C42—22no—
399C2×C42—22no—
400C2×C42—22no—
401C2×C42C22×C414yes—
402C2×C42C2×D411yescharacteristic
403C2×C42C2×D411yescharacteristic
404C2×C42C2×D411yescharacteristic
405C2×C42C2×D411yescharacteristic
406C2×C42C2×D411yescharacteristic
407C2×C42C2×D411yescharacteristic
408C2×C42C2×D411yescharacteristic
409C2×C42C2×D411yescharacteristic
410C2×C42C2×D411yescharacteristic
411C2×C42C2×D411yescharacteristic
412C2×C42#4114yes—
413C2×C42C2411yescharacteristic
414C2×C42C2411yescharacteristic
415C2×C42C2411yescharacteristic
416C2×C42C2411yescharacteristic
417C2×C42C2411yescharacteristic
418C2×C42C2411yescharacteristic
419#107—44no—
420#107C22×C4116yes—
421#106—44no—
422#103—44no—
423#103—44no—
424#103C22×C4116yes—
425#102—44no—
426#102—44no—
427#102C22×C4116yes—
428#97C22×C418yes—
429C4×C8—24no—
430C4×C8—22no—
431C4×C8—22no—
432C4×C8C22×C414yes—
433C4×C8C22×C414yes—
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#95—22no—
445#95—22no—
446#95—22no—
447#95—22no—
448#95—22no—
449#95—22no—
450#95C2×D411yescharacteristic
451#95C2×D411yescharacteristic
452#95C2×D411yescharacteristic
453#95C2×D411yescharacteristic
454#95C2×D411yescharacteristic
455#95C2×D411yescharacteristic
456#95C2×D411yescharacteristic
457#95C2×D411yescharacteristic
458C24—22no—
459C24C22×D411yescharacteristic
460#41—816no—
461C2×Q8—24no—
462C2×Q8—24no—
463C2×Q8—22no—
464C2×Q8—24no—
465C2×Q8—24no—
466C2×Q8—42no—
467C2×Q8—42no—
468C2×Q8—42no—
469C2×Q8—42no—
470C2×Q8C23×C414yes—
471C2×D4—28no—
472C2×D4—24no—
473C2×D4—24no—
474C2×D4—22no—
475C2×D4—24no—
476C2×D4—24no—
477C2×D4—42no—
478C2×D4—42no—
479C2×D4—42no—
480C2×D4—42no—
481C2×D4—82no—
482C2×D4—82no—
483C2×D4C23×C414yes—
484C22×C4—22no—
485C22×C4—22no—
486C22×C4—22no—
487C22×C4—22no—
488C22×C4—22no—
489C22×C4—22no—
490C22×C4—22no—
491C22×C4—22no—
492C22×C4—22no—
493C22×C4—28no—
494C22×C4—22no—
495C22×C4—22no—
496C22×C4—22no—
497C22×C4—22no—
498C22×C4—44no—
499C22×C4—44no—
500C22×C4—82no—
501C22×C4—82no—
502C22×C4—82no—
503C22×C4—82no—
504C22×C4—82no—
505C22×C4—82no—
506C22×C4C4×D414yes—
507C22×C4C4×D414yes—
508C22×C4C23×C412yes—
509C22×C4C22×D411yescharacteristic
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×#4112yes—
523C22×C4C2511yescharacteristic
524SD16—416no—
525M16—48no—
526C2×C8—22no—
527C2×C8—22no—
528C2×C8—22no—
529C2×C8—22no—
530C2×C8—22no—
531C2×C8—22no—
532C2×C8—22no—
533C2×C8—22no—
534C2×C8—22no—
535C2×C8—22no—
536C2×C8—48no—
537C2×C8C23×C414yes—
538C2×C8C23×C414yes—
539C4⋊C4—24no—
540C4⋊C4—24no—
541C4⋊C4—24no—
542C4⋊C4—24no—
543C4⋊C4—28no—
544C4⋊C4—28no—
545C4⋊C4—22no—
546C4⋊C4—22no—
547C4⋊C4—24no—
548C4⋊C4—24no—
549C4⋊C4—24no—
550C4⋊C4—24no—
551C4⋊C4—41no—
552C4⋊C4—41no—
553C4⋊C4—41no—
554C4⋊C4—41no—
555C4⋊C4—44no—
556C4⋊C4—44no—
557C4⋊C4—42no—
558C4⋊C4—42no—
559C4⋊C4—42no—
560C4⋊C4—42no—
561C4⋊C4—42no—
562C4⋊C4—42no—
563C4⋊C4—42no—
564C4⋊C4—42no—
565C4⋊C4—82no—
566C4⋊C4—82no—
567C4⋊C4—82no—
568C4⋊C4—82no—
569C4⋊C4C23×C414yes—
570C4⋊C4C23×C414yes—
571C22⋊C4—28no—
572C22⋊C4—28no—
573C22⋊C4—28no—
574C22⋊C4—41no—
575C22⋊C4—41no—
576C22⋊C4—41no—
577C22⋊C4—41no—
578C22⋊C4—44no—
579C22⋊C4—44no—
580C22⋊C4—82no—
581C22⋊C4—82no—
582C22⋊C4—82no—
583C22⋊C4—82no—
584C22⋊C4—82no—
585C22⋊C4—82no—
586C42—28no—
587C42—22no—
588C42—22no—
589C42—22no—
590C42—22no—
591C42—22no—
592C42—22no—
593C42—22no—
594C42—22no—
595C42—22no—
596C42—22no—
597C42—22no—
598C42—22no—
599C42—44no—
600C42—44no—
601C42—82no—
602C42—82no—
603C42—82no—
604C42—82no—
605C42—82no—
606C42—82no—
607C42C4×D414yes—
608C42C4×D414yes—
609C42C23×C412yes—
610C42C23×C412yes—
611C42C2×#4112yes—
612C42C2×#4112yes—
613C23—21no—
614C23—21no—
615C23—21no—
616C23—21no—
617C23—21no—
618C23—21no—
619C23—24no—
620C23—42no—
621C23—42no—
622C23—42no—
623C23—42no—
624C23—42no—
625C23—42no—
626C23C2×C4×D412yes—
627C23C23×D411yescharacteristic
628Q8—28no—
629Q8—44no—
630Q8—48no—
631Q8—48no—
632D4—28no—
633D4—44no—
634D4—48no—
635D4—48no—
636D4—88no—
637C2×C4—21no—
638C2×C4—21no—
639C2×C4—21no—
640C2×C4—21no—
641C2×C4—21no—
642C2×C4—21no—
643C2×C4—24no—
644C2×C4—24no—
645C2×C4—28no—
646C2×C4—28no—
647C2×C4—24no—
648C2×C4—24no—
649C2×C4—24no—
650C2×C4—21no—
651C2×C4—21no—
652C2×C4—21no—
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—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—88no—
693C2×C4—164no—
694C2×C4—164no—
695C2×C4C2×C4×D412yes—
696C2×C4C2×C4×D412yes—
697C2×C4C2×C4×D412yes—
698C2×C4C2×C4×D412yes—
699C2×C4C2×C4×D412yes—
700C2×C4#57612yes—
701C2×C4#57712yes—
702C2×C4#57712yes—
703C2×C4#57812yes—
704C2×C4C24×C411yescharacteristic
705C2×C4C22×#4111yescharacteristic
706C2×C4#58512yes—
707C2×C4#58512yes—
708C8—24no—
709C8—24no—
710C8—42no—
711C8—42no—
712C22—22no—
713C22—22no—
714C22—22no—
715C22—41no—
716C22—41no—
717C22—41no—
718C22—41no—
719C22—44no—
720C22—44no—
721C22—44no—
722C22—82no—
723C22—82no—
724C22—82no—
725C22—82no—
726C22C22×C4×D411yescharacteristic
727C22#344911yescharacteristic
728C22#344911yescharacteristic
729C22C2×#57611yescharacteristic
730C22C2×#57711yescharacteristic
731C22C2×#57711yescharacteristic
732C22C2×#57811yescharacteristic
733C4—22no—
734C4—22no—
735C4—22no—
736C4—44no—
737C4—41no—
738C4—41no—
739C4—41no—
740C4—41no—
741C4—41no—
742C4—41no—
743C4—41no—
744C4—41no—
745C4—44no—
746C4—44no—
747C4—82no—
748C4—82no—
749C4—82no—
750C4—82no—
751C4#294614yes—
752C4#294714yes—
753C4#342812yes—
754C4#345512yes—
755C2—42no—
756C2—84no—
757C2#3407011yescharacteristic
758C2C2×#294611yescharacteristic
759C2C2×#294711yescharacteristic
760C2#6100611yescharacteristic
761C2#6100811yescharacteristic
762C2#6101211yescharacteristic
763C2#6101411yescharacteristic
subgroupG/H
center, socleC23C23×D4
commutatorC2×C4C24×C4
Frattini, cosocleC22×C4C25
prime radicalC2×#532C22
LCSG ▷ C2×C4 ▷ C2 ▷ C1
UCSC1 ◁ C23 ◁ C4×#117 ◁ G
LECSG ▷ C22×C4 ▷ C2 ▷ C1

Complements

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

NH ≅ G/Ntype
3. #34225C2semidirect
4. #22268C2semidirect
5. #22268C2semidirect
6. #22248C2semidirect
7. #22247C2semidirect
8. #22221C2semidirect
9. #22220C2semidirect
10. #22219C2semidirect
11. #22218C2semidirect
12. #22201C2semidirect
13. #22200C2semidirect
15. #21400C2semidirect
16. #21128C2semidirect
17. #21125C2semidirect
18. #20824C2semidirect
19. #20366C2semidirect
22. #3182C4semidirect
113. #533C2×C4semidirect
148. #500C2×C4semidirect
150. #487C2×C4semidirect
152. #468C2×C4semidirect
153. #440C2×C4semidirect
163. C4×M16C2×C4semidirect

Maximal subgroups

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

subgroupindex
C2×#31822
#342262
#342252
#222682
#222482
#222472
#222212
#222202
#222192
#222182
#222012
#222002
#214012
#214002
#211282
#211252
#208242
#203662