Finite Group Databasebeta

← #6614859

Subgroups — #6614859

Order 512.

1694 conjugacy classes of subgroups.

The subgroup lattice has 800 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#36189C211yesmaximal, characteristic, complemented
2#36150C211yesmaximal, characteristic
3#33286C211yesmaximal, characteristic, complemented
4#33212C211yesmaximal, characteristic, complemented
5#33042C211yesmaximal, characteristic, complemented
6#29191C211yesmaximal, characteristic, complemented
7#29050C214yesmaximal, complemented
8#29029C214yesmaximal, complemented
9#28655C211yesmaximal, characteristic, complemented
10#28103C214yesmaximal, complemented
11#27960C211yesmaximal, characteristic, complemented
12#27890C211yesmaximal, characteristic, complemented
13#25857C211yesmaximal, characteristic, complemented
14#25674C211yesmaximal, characteristic, complemented
15#22579C214yesmaximal, complemented
16#21647C211yesmaximal, characteristic, complemented
17#21400C211yesmaximal, characteristic, complemented
18#21200C211yesmaximal, characteristic, complemented
19C4×#435C211yesmaximal, characteristic, complemented
20C2×#533C2211yescharacteristic
21C2×#532C2211yescharacteristic
22C2×#500C2211yescharacteristic
23C2×#487C2211yescharacteristic
24C2×#486C2211yescharacteristic
25C2×#435C2212yes—
26C2×#417C2214yes—
27C2×C4×M16C2211yescharacteristic
28C22×C4×C8C2211yescharacteristic
29#2859C2211yescharacteristic
30#2858C2211yescharacteristic
31#2857C2211yescharacteristic
32#2857C2211yescharacteristic
33#2857C2211yescharacteristic
34#2856C2211yescharacteristic
35#2570—21no—
36#2540—21no—
37#2511—21no—
38#2507C2212yes—
39#2497C2212yes—
40#2490—21no—
41#2487C2212yes—
42#2454—21no—
43#2448C2212yes—
44#2442—21no—
45#2441—21no—
46#2427—21no—
47#2426—21no—
48#2426C2212yes—
49#2423—21no—
50#2417—21no—
51#2414—21no—
52#2407C2212yes—
53#2367—21no—
54#2363—21no—
55#2360—21no—
56#2352—21no—
57#2345C2212yes—
58#2341C2212yes—
59C4×C4⋊Q8C2211yescharacteristic
60C4×C4⋊Q8C2211yescharacteristic
61#2285C2211yescharacteristic
62C2×#384C2211yescharacteristic
63C42×D4C2211yescharacteristic
64#2099C2214yes—
65#2067C2214yes—
66#2066C2214yes—
67#2042C2214yes—
68#2036C2214yes—
69#2034C2214yes—
70#1990C2211yescharacteristic
71#1990C2211yescharacteristic
72#1990C2211yescharacteristic
73#1990C2211yescharacteristic
74#1959C2214yes—
75#1957C2211yescharacteristic
76#1957C2211yescharacteristic
77#1957C2211yescharacteristic
78#1956C2211yescharacteristic
79#1956C2211yescharacteristic
80#1956C2211yescharacteristic
81#1944C2214yes—
82#1936C2214yes—
83#1936C2214yes—
84#1935C2214yes—
85#1934C2214yes—
86#1926C2214yes—
87#1925C2214yes—
88#1893C2214yes—
89#1892C2214yes—
90#1865C2214yes—
91#1863C2214yes—
92#1844C2211yescharacteristic
93#1834C2211yescharacteristic
94#1834C2211yescharacteristic
95#1823C2214yes—
96#1809C2214yes—
97#1788C2214yes—
98#1771C2212yes—
99C4×C4⋊C8C2211yescharacteristic
100#1763C2214yes—
101C4×#103C2214yes—
102#1753C2212yes—
103#1752C2212yes—
104C4×C22⋊C8C2211yescharacteristic
105C4×C22⋊C8C2211yescharacteristic
106C4×#97C2211yescharacteristic
107C22×#41C2312yes—
108C22×M16C2312yes—
109C23×C8C2312yes—
110#533—24no—
111#533—42no—
112#532—24no—
113#532—42no—
114C2×C4⋊Q8C2311yescharacteristic
115C2×C4⋊Q8C2311yescharacteristic
116C2×C4⋊Q8C2311yescharacteristic
117C2×#127C2311yescharacteristic
118C2×#125—21no—
119C2×#125—21no—
120C2×#124—21no—
121C2×#124—21no—
122C2×#124C2312yes—
123C2×C22⋊Q8—21no—
124C2×C22⋊Q8—21no—
125C2×C22⋊Q8—21no—
126C2×C22⋊Q8—21no—
127C2×C22⋊Q8C2312yes—
128C2×#121—21no—
129C2×#121—21no—
130C2×#121—21no—
131C2×#121—21no—
132C2×#121C2312yes—
133C2×C4×Q8—21no—
134C2×C4×Q8—21no—
135C2×C4×Q8C2312yes—
136C2×C4×Q8C2312yes—
137C2×C4×D4—21no—
138C2×C4×D4—21no—
139C2×C4×D4D411yescharacteristic
140C2×C4×D4D411yescharacteristic
141C2×C4×D4C2311yescharacteristic
142C2×#117—21no—
143C2×#117—21no—
144C22×C4⋊C4—21no—
145C22×C4⋊C4—21no—
146C22×C4⋊C4C2312yes—
147C22×C42C2311yescharacteristic
148C22×C42C2311yescharacteristic
149#500—42no—
150#487—24no—
151#486—42no—
152#435—28no—
153C2×#107C2314yes—
154C2×#106C2314yes—
155C2×C4⋊C8C2312yes—
156#417—216no—
157C2×#103C2314yes—
158C2×#103C2314yes—
159C2×#103C2314yes—
160C2×#103C2314yes—
161C2×#102C2314yes—
162C2×#102C2314yes—
163C2×#102C2314yes—
164C2×#102C2314yes—
165C2×C22⋊C8C2312yes—
166C2×C22⋊C8C2312yes—
167C4×M16—42no—
168C2×#97C2312yes—
169C2×#97C2312yes—
170C2×#97C2312yes—
171C2×C4×C8—42no—
172C2×C4×C8C2311yescharacteristic
173C2×C4×C8C2311yescharacteristic
174C2×C4×C8C2311yescharacteristic
175C2×C4×C8C2311yescharacteristic
176C2×C4×C8C2312yes—
177#400—22no—
178#400—22no—
179#399—22no—
180#399—22no—
181#398—22no—
182#398—22no—
183#397—22no—
184#396—22no—
185#396—22no—
186#394—22no—
187#394—22no—
188#392—22no—
189#391—21no—
190#391—21no—
191#391—21no—
192#391—21no—
193#391C2312yes—
194#390—22no—
195#390—22no—
196#390—22no—
197#390—21no—
198#390—21no—
199#390—21no—
200#390—21no—
201#390C2312yes—
202#390C2312yes—
203#390C2312yes—
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—22no—
213#389C2312yes—
214#389C2312yes—
215#389C2312yes—
216#389C2312yes—
217#389C2312yes—
218#389C2312yes—
219#388—22no—
220#388—22no—
221#388—22no—
222#388—22no—
223#387—22no—
224#387—22no—
225#387—22no—
226#387—22no—
227#386—22no—
228#386—22no—
229#385—22no—
230#385—22no—
231#384—21no—
232#384—21no—
233#384C2311yescharacteristic
234#384C2311yescharacteristic
235#384C2311yescharacteristic
236#384C2311yescharacteristic
237#384C2312yes—
238#382—21no—
239#382—21no—
240#380—21no—
241#380—21no—
242#380—21no—
243#380—21no—
244#380—22no—
245#380—22no—
246#380C2312yes—
247#380C2312yes—
248#380C2312yes—
249#380C2312yes—
250C4×C4⋊C4—21no—
251C4×C4⋊C4—21no—
252C4×C4⋊C4—21no—
253C4×C4⋊C4—21no—
254C4×C4⋊C4D411yescharacteristic
255C4×C4⋊C4D411yescharacteristic
256C4×C4⋊C4C2312yes—
257C4×C4⋊C4C2312yes—
258C4×C4⋊C4C2311yescharacteristic
259C4×C22⋊C4—22no—
260C4×C22⋊C4—22no—
261C4×C22⋊C4D411yescharacteristic
262C4×C22⋊C4D411yescharacteristic
263C4×C22⋊C4D411yescharacteristic
264C4×C22⋊C4D411yescharacteristic
265C4×C22⋊C4C2311yescharacteristic
266C4×C22⋊C4C2311yescharacteristic
267C43C2311yescharacteristic
268#340C2314yes—
269#340C2314yes—
270#340C2314yes—
271#340C2314yes—
272#340C2314yes—
273#340C2314yes—
274#336C2312yes—
275#336C2312yes—
276#336C2312yes—
277C2×#41—24no—
278C2×#41—28no—
279C2×#41—42no—
280C2×#41—44no—
281C22×Q8—21no—
282C22×Q8—21no—
283C22×Q8C2412yes—
284C22×D4—22no—
285C22×D4—22no—
286C22×D4—21no—
287C22×D4—21no—
288C22×D4C2×D411yescharacteristic
289C22×D4C2412yes—
290C23×C4—22no—
291C23×C4—22no—
292C23×C4C2×D411yescharacteristic
293C23×C4C2×D411yescharacteristic
294C23×C4C2×D411yescharacteristic
295C23×C4C2×D411yescharacteristic
296C23×C4C2411yescharacteristic
297C23×C4C2411yescharacteristic
298C2×M16—42no—
299C2×M16—42no—
300C2×M16#4118yes—
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⋊Q8—22no—
312C4⋊Q8—22no—
313C4⋊Q8#4114yes—
314#127—22no—
315#127—22no—
316#125—44no—
317#125—82no—
318#124—24no—
319#124—42no—
320#124—44no—
321#124—82no—
322C22⋊Q8—24no—
323C22⋊Q8—42no—
324C22⋊Q8—44no—
325C22⋊Q8—44no—
326C22⋊Q8—82no—
327C22⋊Q8—82no—
328#121—44no—
329#121—44no—
330#121—44no—
331#121—44no—
332#121—82no—
333C4×Q8—24no—
334C4×Q8—42no—
335C4×Q8—44no—
336C4×Q8—44no—
337C4×Q8—82no—
338C4×D4—24no—
339C4×D4—24no—
340C4×D4—44no—
341C4×D4—44no—
342C4×D4—42no—
343#117—44no—
344#117—82no—
345C2×C4⋊C4—21no—
346C2×C4⋊C4—21no—
347C2×C4⋊C4—28no—
348C2×C4⋊C4—21no—
349C2×C4⋊C4—21no—
350C2×C4⋊C4—21no—
351C2×C4⋊C4—21no—
352C2×C4⋊C4—22no—
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—22no—
361C2×C4⋊C4—21no—
362C2×C4⋊C4—22no—
363C2×C4⋊C4—22no—
364C2×C4⋊C4—22no—
365C2×C4⋊C4—22no—
366C2×C4⋊C4—22no—
367C2×C4⋊C4—22no—
368C2×C4⋊C4—22no—
369C2×C4⋊C4—22no—
370C2×C4⋊C4—82no—
371C2×C4⋊C4—82no—
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×C4⋊C4C2412yes—
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×C22⋊C4C2×D411yescharacteristic
396C2×C22⋊C4C2×D411yescharacteristic
397C2×C22⋊C4C2×D411yescharacteristic
398C2×C22⋊C4C2×D411yescharacteristic
399C2×C22⋊C4C2×D411yescharacteristic
400C2×C22⋊C4C2×D411yescharacteristic
401C2×C42—22no—
402C2×C42—22no—
403C2×C42—22no—
404C2×C42—22no—
405C2×C42—22no—
406C2×C42—22no—
407C2×C42—22no—
408C2×C42—22no—
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×C42C2411yescharacteristic
418C2×C42C2411yescharacteristic
419C2×C42C2411yescharacteristic
420C2×C42C2411yescharacteristic
421C2×C42C2411yescharacteristic
422#107—44no—
423#106—44no—
424C4⋊C8—24no—
425#103—28no—
426#103—28no—
427#103—28no—
428#103—44no—
429#102—28no—
430#102—28no—
431#102—44no—
432#102—44no—
433C22⋊C8—24no—
434C22⋊C8—24no—
435#97—24no—
436#97—42no—
437#97—42no—
438C4×C8—22no—
439C4×C8—22no—
440C4×C8—22no—
441C4×C8—22no—
442C4×C8—42no—
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#95C2×D411yescharacteristic
458#95C2×D411yescharacteristic
459#95C2×D411yescharacteristic
460#95C2×D411yescharacteristic
461#95C2×D411yescharacteristic
462#95C2×D411yescharacteristic
463C24—22no—
464C24C22×D411yescharacteristic
465C24C22×D411yescharacteristic
466#41—416no—
467#41—88no—
468C2×Q8—22no—
469C2×Q8—24no—
470C2×Q8—24no—
471C2×Q8—42no—
472C2×Q8—42no—
473C2×Q8—42no—
474C2×Q8—42no—
475C2×Q8—42no—
476C2×Q8—42no—
477C2×Q8C2×#4114yes—
478C2×D4—22no—
479C2×D4—22no—
480C2×D4—24no—
481C2×D4—22no—
482C2×D4—22no—
483C2×D4—24no—
484C2×D4—41no—
485C2×D4—44no—
486C2×D4—44no—
487C2×D4—44no—
488C2×D4—42no—
489C2×D4—42no—
490C2×D4—42no—
491C2×D4—42no—
492C2×D4—42no—
493C2×D4—42no—
494C2×D4—82no—
495C2×D4—82no—
496C2×D4—82no—
497C22×C4—22no—
498C22×C4—22no—
499C22×C4—21no—
500C22×C4—21no—
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—21no—
514C22×C4—21no—
515C22×C4—22no—
516C22×C4—22no—
517C22×C4—22no—
518C22×C4—22no—
519C22×C4—22no—
520C22×C4—22no—
521C22×C4—22no—
522C22×C4—44no—
523C22×C4—44no—
524C22×C4—44no—
525C22×C4—82no—
526C22×C4—82no—
527C22×C4—82no—
528C22×C4#13714yes—
529C22×C4C22×D411yescharacteristic
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×C4C2×#4114yes—
542C22×C4C2511yescharacteristic
543M16—48no—
544C2×C8—22no—
545C2×C8—22no—
546C2×C8—22no—
547C2×C8—22no—
548C2×C8—22no—
549C2×C8—22no—
550C2×C8—22no—
551C2×C8—22no—
552C2×C8—22no—
553C2×C8—22no—
554C2×C8—48no—
555C2×C8C2×#4114yes—
556C2×C8C2×#4114yes—
557C4⋊C4—22no—
558C4⋊C4—24no—
559C4⋊C4—24no—
560C4⋊C4—22no—
561C4⋊C4—24no—
562C4⋊C4—24no—
563C4⋊C4—22no—
564C4⋊C4—22no—
565C4⋊C4—22no—
566C4⋊C4—22no—
567C4⋊C4—24no—
568C4⋊C4—24no—
569C4⋊C4—41no—
570C4⋊C4—44no—
571C4⋊C4—44no—
572C4⋊C4—44no—
573C4⋊C4—44no—
574C4⋊C4—42no—
575C4⋊C4—42no—
576C4⋊C4—42no—
577C4⋊C4—42no—
578C4⋊C4—42no—
579C4⋊C4—42no—
580C4⋊C4—42no—
581C4⋊C4—42no—
582C4⋊C4—42no—
583C4⋊C4—42no—
584C4⋊C4—82no—
585C4⋊C4—82no—
586C4⋊C4—82no—
587C4⋊C4—82no—
588C4⋊C4—82no—
589C4⋊C4—82no—
590C4⋊C4—82no—
591C4⋊C4—82no—
592C22⋊C4—22no—
593C22⋊C4—22no—
594C22⋊C4—22no—
595C22⋊C4—22no—
596C22⋊C4—41no—
597C22⋊C4—41no—
598C22⋊C4—44no—
599C22⋊C4—44no—
600C22⋊C4—44no—
601C22⋊C4—44no—
602C22⋊C4—44no—
603C22⋊C4—44no—
604C22⋊C4—44no—
605C22⋊C4—82no—
606C22⋊C4—82no—
607C22⋊C4—82no—
608C22⋊C4—82no—
609C22⋊C4—82no—
610C22⋊C4—82no—
611C22⋊C4—82no—
612C42—22no—
613C42—22no—
614C42—22no—
615C42—22no—
616C42—22no—
617C42—22no—
618C42—22no—
619C42—22no—
620C42—22no—
621C42—21no—
622C42—21no—
623C42—21no—
624C42—21no—
625C42—22no—
626C42—44no—
627C42—82no—
628C42—82no—
629C42—82no—
630C42C2×#4112yes—
631C42H(5,𝔽2)12yes—
632C23—21no—
633C23—21no—
634C23—21no—
635C23—21no—
636C23—21no—
637C23—21no—
638C23—21no—
639C23—21no—
640C23—21no—
641C23—21no—
642C23—21no—
643C23—21no—
644C23—42no—
645C23—42no—
646C23—42no—
647C23—42no—
648C23—42no—
649C23—42no—
650C23—42no—
651C23#53212yes—
652C23C2×#13712yes—
653C23C23×D411yescharacteristic
654Q8—28no—
655Q8—44no—
656Q8—84no—
657Q8—84no—
658D4—44no—
659D4—44no—
660D4—44no—
661D4—88no—
662D4—84no—
663D4—84no—
664D4—164no—
665C2×C4—21no—
666C2×C4—21no—
667C2×C4—21no—
668C2×C4—21no—
669C2×C4—24no—
670C2×C4—24no—
671C2×C4—28no—
672C2×C4—21no—
673C2×C4—21no—
674C2×C4—21no—
675C2×C4—21no—
676C2×C4—21no—
677C2×C4—21no—
678C2×C4—21no—
679C2×C4—24no—
680C2×C4—21no—
681C2×C4—21no—
682C2×C4—21no—
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—42no—
698C2×C4—42no—
699C2×C4—42no—
700C2×C4—42no—
701C2×C4—44no—
702C2×C4—44no—
703C2×C4—44no—
704C2×C4—42no—
705C2×C4—42no—
706C2×C4—42no—
707C2×C4—42no—
708C2×C4—42no—
709C2×C4—42no—
710C2×C4—42no—
711C2×C4—42no—
712C2×C4—42no—
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—88no—
723C2×C4—164no—
724C2×C4#53212yes—
725C2×C4#54612yes—
726C2×C4#54612yes—
727C2×C4C2×#13712yes—
728C2×C4C2×#13712yes—
729C2×C4#57512yes—
730C2×C4#57612yes—
731C2×C4#57712yes—
732C2×C4C22×#4111yescharacteristic
733C2×C4C22×#4112yes—
734C2×C4C2×H(5,𝔽2)11yescharacteristic
735C2×C4#58512yes—
736C8—24no—
737C8—24no—
738C8—42no—
739C8—42no—
740C22—22no—
741C22—22no—
742C22—22no—
743C22—22no—
744C22—22no—
745C22—22no—
746C22—41no—
747C22—41no—
748C22—41no—
749C22—41no—
750C22—41no—
751C22—41no—
752C22—41no—
753C22—41no—
754C22—82no—
755C22—82no—
756C22—82no—
757C22—82no—
758C22—82no—
759C22—82no—
760C22—82no—
761C22C2×#53211yescharacteristic
762C22C2×#54611yescharacteristic
763C22#350011yescharacteristic
764C22C22×#13711yescharacteristic
765C22C2×#57511yescharacteristic
766C22C2×#57611yescharacteristic
767C22C2×#57711yescharacteristic
768C4—22no—
769C4—22no—
770C4—41no—
771C4—41no—
772C4—44no—
773C4—41no—
774C4—41no—
775C4—41no—
776C4—41no—
777C4—41no—
778C4—41no—
779C4—82no—
780C4—82no—
781C4—82no—
782C4—82no—
783C4—82no—
784C4—82no—
785C4#330914yes—
786C4#331614yes—
787C4#347512yes—
788C4#350512yes—
789C2—42no—
790C2—42no—
791C2—162no—
792C2#3638611yescharacteristic
793C2#6070111yescharacteristic
794C2#6072211yescharacteristic
795C2C2×#331611yescharacteristic
796C2C2×#330911yescharacteristic
797C2#6253711yescharacteristic
798C2#6254311yescharacteristic
subgroupG/H
center, socleC23C23×D4
commutator, Frattini, cosocleC22×C4C25
prime radical#36150C2
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
1. #36189C2semidirect
3. #33286C2semidirect
4. #33212C2semidirect
5. #33042C2semidirect
6. #29191C2semidirect
7. #29050C2semidirect
8. #29029C2semidirect
9. #28655C2semidirect
10. #28103C2semidirect
11. #27960C2semidirect
12. #27890C2semidirect
13. #25857C2semidirect
14. #25674C2semidirect
15. #22579C2semidirect
16. #21647C2semidirect
17. #21400C2semidirect
18. #21200C2semidirect
19. C4×#435C2semidirect

Maximal subgroups

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

subgroupindex
#361892
#361502
#332862
#332122
#330422
#291912
#290502
#290292
#286552
#281032
#279602
#278902
#258572
#256742
#225792
#216472
#214002
#212002
C4×#4352