Finite Group Databasebeta

← #6396454

Subgroups — #6396454

Order 512.

2016 conjugacy classes of subgroups.

The subgroup lattice has 776 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3210C211yesmaximal, characteristic
2#34226C211yesmaximal, characteristic
3#34225C211yesmaximal, characteristic, complemented
4#23103C214yesmaximal, complemented
5#23006C214yesmaximal, complemented
6#22861C214yesmaximal, complemented
7#22856C214yesmaximal, complemented
8#22270C211yesmaximal, characteristic, complemented
9#22268C211yesmaximal, characteristic, complemented
10#22221C211yesmaximal, characteristic, complemented
11#22219C211yesmaximal, characteristic, complemented
12#21984C211yesmaximal, characteristic, complemented
13#21692C211yesmaximal, characteristic, complemented
14#21691C211yesmaximal, characteristic, complemented
15#21647C211yesmaximal, characteristic, complemented
16#21646C211yesmaximal, characteristic, complemented
17#21400C211yesmaximal, characteristic, complemented
18#21195C211yesmaximal, characteristic
19#20473C211yesmaximal, characteristic, complemented
20C2×#533C2211yescharacteristic
21C2×#532C2211yescharacteristic
22#3210C4116yescomplemented
23C2×#494C2211yescharacteristic
24C2×#492C2211yescharacteristic
25C2×#487C2211yescharacteristic
26C2×#486C2211yescharacteristic
27C2×#464C2214yes—
28C2×#452C2214yes—
29C2×#441C2214yes—
30C2×#440C2214yes—
31C2×#431C2211yescharacteristic
32C2×#416C2214yes—
33C22×C4×C8C2211yescharacteristic
34#2370—21no—
35#2370—21no—
36#2367C2212yes—
37#2367C2212yes—
38#2363—21no—
39#2363—21no—
40#2362C2212yes—
41#2362C2212yes—
42#2357—21no—
43#2356C2212yes—
44#2351C2212yes—
45#2349—21no—
46#2347—21no—
47#2346—21no—
48#2341C2212yes—
49#2339C2212yes—
50#2324—21no—
51#2324—21no—
52#2323—21no—
53#2323—21no—
54#2320—21no—
55#2319—21no—
56C4×C4⋊Q8C2211yescharacteristic
57C4×C4⋊Q8C2211yescharacteristic
58C4×C4⋊Q8C2211yescharacteristic
59C4×C4⋊Q8C2211yescharacteristic
60C4×C4⋊Q8C2211yescharacteristic
61C4×C4⋊Q8C2211yescharacteristic
62C4×#127C2211yescharacteristic
63C4×#127C2211yescharacteristic
64#2285C2211yescharacteristic
65#2285C2211yescharacteristic
66#2276—21no—
67#2275—21no—
68C4×#117C2211yescharacteristic
69#1990C2211yescharacteristic
70#1990C2211yescharacteristic
71#1973C2214yes—
72#1971C2214yes—
73#1958C2214yes—
74#1957C2211yescharacteristic
75#1957C2211yescharacteristic
76#1956C2211yescharacteristic
77#1956C2211yescharacteristic
78#1956C2211yescharacteristic
79#1956C2211yescharacteristic
80#1949C2214yes—
81#1936C2214yes—
82#1935C2214yes—
83#1928C2214yes—
84#1926C2214yes—
85#1892C2214yes—
86#1880C2214yes—
87#1878C2214yes—
88#1878C2214yes—
89#1877C2214yes—
90#1864C2214yes—
91#1863C2214yes—
92#1854C2214yes—
93#1845C2211yescharacteristic
94#1844C2211yescharacteristic
95#1834C2211yescharacteristic
96#1834C2211yescharacteristic
97#1770C2212yes—
98#1770C2212yes—
99#1763C2214yes—
100#1762C2214yes—
101C4×#103C2214yes—
102#1752C2212yes—
103#1752C2212yes—
104#1744C2211yescharacteristic
105#1744C2211yescharacteristic
106C4×#97C2211yescharacteristic
107C4×#97C2211yescharacteristic
108C22×#41C2312yes—
109C22×Q16C2314yes—
110C22×SD16C2314yes—
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×#124C2312yes—
122C2×C22⋊Q8—21no—
123C2×C22⋊Q8C2312yes—
124C2×#121—21no—
125C2×#121—21no—
126C2×C4×Q8—21no—
127C2×C4×Q8—21no—
128C2×C4×Q8—21no—
129C2×C4×Q8C2312yes—
130C2×C4×Q8C2312yes—
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×D4—21no—
140C2×C4×D4C2312yes—
141C2×C4×D4C2312yes—
142C2×#117—21no—
143C2×#117—21no—
144C2×#117D411yescharacteristic
145C2×#117D411yescharacteristic
146C2×#117C2312yes—
147C22×C42C2311yescharacteristic
148#494C2×C418yescomplemented
149#492C2×C418yes—
150#487C2×C418yescomplemented
151#486C2×C418yes—
152#464C2×C4132yescomplemented
153#452C2×C4132yescomplemented
154#441—48no—
155#440—48no—
156#431C2×C418yescomplemented
157C2×#107C2314yes—
158C2×#106C2314yes—
159C2×C4⋊C8C2312yes—
160#416—48no—
161C2×#103C2314yes—
162C2×#103C2314yes—
163C2×#103C2314yes—
164C2×#103C2314yes—
165C2×#103C2314yes—
166C2×#102C2314yes—
167C2×#102C2314yes—
168C2×#102C2314yes—
169C2×C22⋊C8C2312yes—
170C2×#97C2312yes—
171C2×#97C2312yes—
172C2×#97C2312yes—
173C2×#97C2312yes—
174C2×C4×C8—24no—
175C2×C4×C8C2311yescharacteristic
176C2×C4×C8C2311yescharacteristic
177C2×C4×C8C2312yes—
178C2×C4×C8C2311yescharacteristic
179C2×C4×C8C2311yescharacteristic
180#391—21no—
181#391—21no—
182#391C2312yes—
183#391C2312yes—
184#391C2312yes—
185#391C2312yes—
186#390—22no—
187#390—22no—
188#390—21no—
189#390—21no—
190#390—21no—
191#390—21no—
192#390C2312yes—
193#390C2312yes—
194#389—22no—
195#389—22no—
196#389—21no—
197#389—21no—
198#389—21no—
199#389—21no—
200#389—21no—
201#389—21no—
202#389—21no—
203#389—21no—
204#389—21no—
205#389—21no—
206#389C2312yes—
207#389C2312yes—
208#388—22no—
209#388—22no—
210#388—22no—
211#388—22no—
212#388—22no—
213#388—22no—
214#388—22no—
215#388—22no—
216#387—22no—
217#387—22no—
218#387—22no—
219#387—22no—
220#386—22no—
221#386—22no—
222#385—22no—
223#385—22no—
224#384C2311yescharacteristic
225#384C2311yescharacteristic
226#384C2311yescharacteristic
227#384C2311yescharacteristic
228#383—22no—
229#382—21no—
230#382—22no—
231#382C2312yes—
232#381—22no—
233#380—21no—
234#380—21no—
235#380—21no—
236#380—22no—
237#380C2312yes—
238C4×C4⋊C4—21no—
239C4×C4⋊C4—21no—
240C4×C4⋊C4—21no—
241C4×C4⋊C4—21no—
242C4×C4⋊C4—21no—
243C4×C4⋊C4—21no—
244C4×C4⋊C4—21no—
245C4×C4⋊C4—21no—
246C4×C4⋊C4—21no—
247C4×C4⋊C4—21no—
248C4×C4⋊C4—21no—
249C4×C4⋊C4—21no—
250C4×C4⋊C4—21no—
251C4×C4⋊C4—22no—
252C4×C4⋊C4—22no—
253C4×C4⋊C4—22no—
254C4×C4⋊C4D411yescharacteristic
255C4×C4⋊C4D411yescharacteristic
256C4×C4⋊C4C2312yes—
257C4×C4⋊C4C2312yes—
258C4×C4⋊C4C2312yes—
259C4×C4⋊C4C2311yescharacteristic
260C4×C4⋊C4C2311yescharacteristic
261C4×C22⋊C4—22no—
262C4×C22⋊C4—22no—
263C4×C22⋊C4—22no—
264C4×C22⋊C4D411yescharacteristic
265C4×C22⋊C4D411yescharacteristic
266C4×C22⋊C4C2311yescharacteristic
267C4×C22⋊C4C2311yescharacteristic
268#376—22no—
269#376D411yescharacteristic
270#376D411yescharacteristic
271C2×#95—22no—
272C43C2311yescharacteristic
273C43C2311yescharacteristic
274#340C2314yes—
275#340C2314yes—
276#340C2314yes—
277#340C2314yes—
278#336C2312yes—
279#336C2312yes—
280#336C2312yes—
281#336C2312yes—
282C2×#41—24no—
283C2×#41—44no—
284C2×#41—44no—
285C2×#41C22×C418yes—
286C22×Q8—21no—
287C22×Q8C2412yes—
288C22×Q8C2412yes—
289C22×D4—22no—
290C22×D4—21no—
291C22×D4—21no—
292C22×D4C2412yes—
293C23×C4—22no—
294C23×C4—22no—
295C23×C4—22no—
296C23×C4C2×D411yescharacteristic
297C23×C4C2×D411yescharacteristic
298C23×C4C2411yescharacteristic
299C2×Q16—44no—
300C2×Q16—44no—
301C2×Q16C22×C4116yes—
302C2×SD16—44no—
303C2×SD16—44no—
304C2×SD16C22×C4116yes—
305C22×C8—24no—
306C22×C8—24no—
307C22×C8—42no—
308C22×C8C2412yes—
309C22×C8C2412yes—
310C22×C8C2412yes—
311C22×C8C2412yes—
312C4⋊Q8—22no—
313C4⋊Q8—22no—
314C4⋊Q8—22no—
315C4⋊Q8C22×C414yes—
316C4⋊Q8C22×C414yes—
317C4⋊Q8C22×C414yes—
318#127—22no—
319#127C22×C414yes—
320#125—28no—
321#124—24no—
322#124C22×C418yes—
323C22⋊Q8—28no—
324C22⋊Q8—24no—
325C22⋊Q8C22×C418yes—
326#121—28no—
327#121—28no—
328C4×Q8—28no—
329C4×Q8—24no—
330C4×Q8—44no—
331C4×Q8—44no—
332C4×Q8—44no—
333C4×Q8—44no—
334C4×Q8—44no—
335C4×Q8—44no—
336C4×Q8C22×C418yes—
337C4×D4—28no—
338C4×D4—28no—
339C4×D4—44no—
340C4×D4—44no—
341C4×D4—44no—
342C4×D4—44no—
343C4×D4—82no—
344C4×D4—82no—
345#117—28no—
346#117—42no—
347#117—42no—
348#117—44no—
349#117—82no—
350C2×C4⋊C4—21no—
351C2×C4⋊C4—21no—
352C2×C4⋊C4—21no—
353C2×C4⋊C4—21no—
354C2×C4⋊C4—21no—
355C2×C4⋊C4—22no—
356C2×C4⋊C4—22no—
357C2×C4⋊C4—21no—
358C2×C4⋊C4—21no—
359C2×C4⋊C4—21no—
360C2×C4⋊C4—21no—
361C2×C4⋊C4—21no—
362C2×C4⋊C4—21no—
363C2×C4⋊C4—22no—
364C2×C4⋊C4—22no—
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⋊C4C2×D411yescharacteristic
372C2×C4⋊C4C2×D411yescharacteristic
373C2×C4⋊C4C2×D411yescharacteristic
374C2×C4⋊C4C2×D411yescharacteristic
375C2×C4⋊C4C2412yes—
376C2×C4⋊C4C2412yes—
377C2×C4⋊C4C2412yes—
378C2×C4⋊C4C2412yes—
379C2×C4⋊C4C2412yes—
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⋊C4C2×D411yescharacteristic
392C2×C22⋊C4C2×D411yescharacteristic
393C2×C22⋊C4C2×D411yescharacteristic
394C2×C22⋊C4C2×D411yescharacteristic
395C2×C42—22no—
396C2×C42—22no—
397C2×C42—22no—
398C2×C42—22no—
399C2×C42—22no—
400C2×C42—22no—
401C2×C42—22no—
402C2×C42—22no—
403C2×C42—22no—
404C2×C42C22×C414yes—
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×C42#4114yes—
416C2×C42C2411yescharacteristic
417C2×C42C2411yescharacteristic
418C2×C42C2411yescharacteristic
419C2×C42C2411yescharacteristic
420C2×C42C2411yescharacteristic
421C2×C42C2411yescharacteristic
422#107—44no—
423#106—44no—
424C4⋊C8C22×C418yes—
425#103—28no—
426#103—28no—
427#103—44no—
428#103—44no—
429#103C22×C4116yes—
430#102—28no—
431#102—44no—
432#102C22×C4116yes—
433C22⋊C8C22×C418yes—
434#97—24no—
435#97—24no—
436#97—42no—
437#97—42no—
438C4×C8—24no—
439C4×C8—22no—
440C4×C8—22no—
441C4×C8C22×C414yes—
442C4×C8C22×C414yes—
443#95—22no—
444#95—22no—
445#95—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#95—22no—
455#95—22no—
456#95—22no—
457#95—22no—
458#95—22no—
459#95C2×D411yescharacteristic
460#95C2×D411yescharacteristic
461#95C2×D411yescharacteristic
462#95C2×D411yescharacteristic
463#95C2×D411yescharacteristic
464#95C2×D411yescharacteristic
465#95C2×D411yescharacteristic
466#95C2×D411yescharacteristic
467C24—22no—
468C24C22×D411yescharacteristic
469#41—416no—
470#41—88no—
471C2×Q8—24no—
472C2×Q8—22no—
473C2×Q8—22no—
474C2×Q8—24no—
475C2×Q8—24no—
476C2×Q8—24no—
477C2×Q8—24no—
478C2×Q8—42no—
479C2×Q8—42no—
480C2×Q8C23×C414yes—
481C2×Q8C23×C414yes—
482C2×D4—28no—
483C2×D4—24no—
484C2×D4—24no—
485C2×D4—22no—
486C2×D4—24no—
487C2×D4—24no—
488C2×D4—42no—
489C2×D4—42no—
490C2×D4—42no—
491C2×D4—42no—
492C2×D4—82no—
493C2×D4—82no—
494C2×D4C23×C414yes—
495C22×C4—22no—
496C22×C4—22no—
497C22×C4—22no—
498C22×C4—22no—
499C22×C4—22no—
500C22×C4—22no—
501C22×C4—22no—
502C22×C4—22no—
503C22×C4—22no—
504C22×C4—28no—
505C22×C4—22no—
506C22×C4—22no—
507C22×C4—22no—
508C22×C4—22no—
509C22×C4—44no—
510C22×C4—44no—
511C22×C4—82no—
512C22×C4—82no—
513C22×C4—82no—
514C22×C4—82no—
515C22×C4—82no—
516C22×C4—82no—
517C22×C4C4×D414yes—
518C22×C4C4×D414yes—
519C22×C4C23×C412yes—
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×C4C22×D411yescharacteristic
530C22×C4C22×D411yescharacteristic
531C22×C4C22×D411yescharacteristic
532C22×C4C22×D411yescharacteristic
533C22×C4C2×#4112yes—
534C22×C4C2511yescharacteristic
535Q16—416no—
536SD16—416no—
537C2×C8—22no—
538C2×C8—22no—
539C2×C8—22no—
540C2×C8—22no—
541C2×C8—22no—
542C2×C8—22no—
543C2×C8—22no—
544C2×C8—22no—
545C2×C8—22no—
546C2×C8—48no—
547C2×C8C23×C414yes—
548C2×C8C23×C414yes—
549C2×C8H(5,𝔽2)14yes—
550C4⋊C4—24no—
551C4⋊C4—24no—
552C4⋊C4—24no—
553C4⋊C4—24no—
554C4⋊C4—24no—
555C4⋊C4—28no—
556C4⋊C4—28no—
557C4⋊C4—22no—
558C4⋊C4—24no—
559C4⋊C4—24no—
560C4⋊C4—24no—
561C4⋊C4—24no—
562C4⋊C4—41no—
563C4⋊C4—41no—
564C4⋊C4—41no—
565C4⋊C4—41no—
566C4⋊C4—44no—
567C4⋊C4—44no—
568C4⋊C4—42no—
569C4⋊C4—42no—
570C4⋊C4—42no—
571C4⋊C4—42no—
572C4⋊C4—42no—
573C4⋊C4—42no—
574C4⋊C4—42no—
575C4⋊C4—42no—
576C4⋊C4—82no—
577C4⋊C4—82no—
578C4⋊C4—82no—
579C4⋊C4—82no—
580C4⋊C4C23×C414yes—
581C22⋊C4—28no—
582C22⋊C4—28no—
583C22⋊C4—28no—
584C22⋊C4—41no—
585C22⋊C4—41no—
586C22⋊C4—41no—
587C22⋊C4—41no—
588C22⋊C4—44no—
589C22⋊C4—44no—
590C22⋊C4—82no—
591C22⋊C4—82no—
592C22⋊C4—82no—
593C22⋊C4—82no—
594C22⋊C4—82no—
595C22⋊C4—82no—
596C42—28no—
597C42—22no—
598C42—22no—
599C42—22no—
600C42—22no—
601C42—22no—
602C42—22no—
603C42—22no—
604C42—22no—
605C42—22no—
606C42—22no—
607C42—22no—
608C42—22no—
609C42—44no—
610C42—44no—
611C42—82no—
612C42—82no—
613C42—82no—
614C42—82no—
615C42—82no—
616C42—82no—
617C42C4×D414yes—
618C42C4×D414yes—
619C42C23×C412yes—
620C42C23×C412yes—
621C42C2×#4112yes—
622C42C2×#4112yes—
623C23—21no—
624C23—21no—
625C23—21no—
626C23—21no—
627C23—21no—
628C23—21no—
629C23—24no—
630C23—42no—
631C23—42no—
632C23—42no—
633C23—42no—
634C23—42no—
635C23—42no—
636C23C2×C4×D412yes—
637C23C23×D411yescharacteristic
638Q8—28no—
639Q8—28no—
640Q8—48no—
641Q8—44no—
642Q8—44no—
643D4—28no—
644D4—48no—
645D4—48no—
646D4—44no—
647D4—88no—
648C2×C4—21no—
649C2×C4—21no—
650C2×C4—21no—
651C2×C4—21no—
652C2×C4—21no—
653C2×C4—21no—
654C2×C4—24no—
655C2×C4—28no—
656C2×C4—28no—
657C2×C4—24no—
658C2×C4—24no—
659C2×C4—24no—
660C2×C4—24no—
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—164no—
705C2×C4—164no—
706C2×C4C2×C4×D412yes—
707C2×C4C2×C4×D412yes—
708C2×C4C2×C4×D412yes—
709C2×C4C2×C4×D412yes—
710C2×C4C2×C4×D412yes—
711C2×C4#57512yes—
712C2×C4#57512yes—
713C2×C4#57712yes—
714C2×C4#57812yes—
715C2×C4C24×C411yescharacteristic
716C2×C4C22×#4111yescharacteristic
717C2×C4C2×H(5,𝔽2)12yes—
718C2×C4#58512yes—
719C8—24no—
720C8—24no—
721C8—24no—
722C8—42no—
723C22—22no—
724C22—22no—
725C22—22no—
726C22—41no—
727C22—41no—
728C22—41no—
729C22—41no—
730C22—44no—
731C22—44no—
732C22—44no—
733C22—82no—
734C22—82no—
735C22—82no—
736C22—82no—
737C22C22×C4×D411yescharacteristic
738C22#349811yescharacteristic
739C22#350011yescharacteristic
740C22C2×#57511yescharacteristic
741C22C2×#57511yescharacteristic
742C22C2×#57711yescharacteristic
743C22C2×#57811yescharacteristic
744C4—22no—
745C4—22no—
746C4—22no—
747C4—41no—
748C4—41no—
749C4—41no—
750C4—41no—
751C4—41no—
752C4—41no—
753C4—41no—
754C4—41no—
755C4—44no—
756C4—44no—
757C4—44no—
758C4—82no—
759C4—82no—
760C4—82no—
761C4—82no—
762C4#294314yes—
763C4#294714yes—
764C4C4×H(5,𝔽2)12yes—
765C4#349412yes—
766C2—42no—
767C2—84no—
768C2#3427511yescharacteristic
769C2C2×#294311yescharacteristic
770C2C2×#294711yescharacteristic
771C2#6242511yescharacteristic
772C2#6242711yescharacteristic
773C2#6254411yescharacteristic
774C2#6254511yescharacteristic
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. #23103C2semidirect
5. #23006C2semidirect
6. #22861C2semidirect
7. #22856C2semidirect
8. #22270C2semidirect
9. #22268C2semidirect
10. #22221C2semidirect
11. #22219C2semidirect
12. #21984C2semidirect
13. #21692C2semidirect
14. #21691C2semidirect
15. #21647C2semidirect
16. #21646C2semidirect
17. #21400C2semidirect
19. #20473C2semidirect
22. #3210C4semidirect
113. #533C2×C4semidirect
148. #494C2×C4semidirect
150. #487C2×C4semidirect
152. #464C2×C4semidirect
153. #452C2×C4semidirect
156. #431C2×C4semidirect

Maximal subgroups

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

subgroupindex
C2×#32102
#342262
#342252
#231032
#230062
#228612
#228562
#222702
#222682
#222212
#222192
#219842
#216922
#216912
#216472
#216462
#214002
#211952
#204732