Finite Group Databasebeta

← #195873

Subgroups — #195873

Order 512.

1884 conjugacy classes of subgroups.

The subgroup lattice has 787 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×C4×M16C211yesmaximal, characteristic, complemented
2C4×#525C211yesmaximal, characteristic
3#20626C211yesmaximal, characteristic, complemented
4C2×#1489C212yesmaximal, complemented
5#9078C212yesmaximal, complemented
6#9077C212yesmaximal, complemented
7#9072C212yesmaximal, complemented
8#9071C212yesmaximal, complemented
9#7903C212yesmaximal, complemented
10C23×M16—21no—
11C2×#525C411yescharacteristic
12C2×C4×#41C2211yescharacteristic
13C23×C42C2211yescharacteristic
14C2×#423C2212yes—
15C2×#407—21no—
16C2×C4×M16—21no—
17C2×C4×M16—21no—
18C2×C4×M16—28no—
19C2×C4×M16C2212yes—
20C2×C4×M16C2212yes—
21C22×#97—21no—
22C22×C4×C8C2212yes—
23C4×C22⋊Q8C411yescharacteristic
24C4×C22⋊Q8C411yescharacteristic
25C4×C22⋊Q8C2211yescharacteristic
26C4×C22⋊Q8C2211yescharacteristic
27C4×#123—21no—
28C4×#123—21no—
29C4×#121C411yescharacteristic
30C4×#121C411yescharacteristic
31C4×#121C2211yescharacteristic
32C4×#121C2211yescharacteristic
33C4×#120—21no—
34C4×#120—21no—
35#2297C411yescharacteristic
36#2296C411yescharacteristic
37#2290—21no—
38#2290—21no—
39#2280C411yescharacteristic
40C42×D4—21no—
41C42×D4—21no—
42C4×#117C2211yescharacteristic
43#1797—21no—
44#1797—21no—
45#1797C2212yes—
46#1797C2212yes—
47#1728—21no—
48#1489—28no—
49C2×Q8⋊C8C2214yescomplemented
50C2×D4⋊C8C2214yescomplemented
51#1279C2214yescomplemented
52#1279C2214yescomplemented
53C22×#41C2×C411yescharacteristic
54C24×C4C2×C411yescharacteristic
55C24×C4D411yescharacteristic
56C24×C4D411yescharacteristic
57C22×M16—28no—
58C22×M16—28no—
59C22×M16—28no—
60C22×M16—22no—
61C22×M16—22no—
62C22×M16—22no—
63C23×C8—22no—
64#525—24no—
65#525—24no—
66C2×#123—21no—
67C2×C22⋊Q8C2×C411yescharacteristic
68C2×C22⋊Q8C2×C411yescharacteristic
69C2×#121C2×C411yescharacteristic
70C2×#121C2×C411yescharacteristic
71C2×#120—21no—
72C4×#41—24no—
73C4×#41—24no—
74C2×C4×Q8C2×C411yescharacteristic
75C2×C4×Q8C2311yescharacteristic
76C2×C4×D4—21no—
77C2×C4×D4—21no—
78C2×C4×D4—21no—
79C2×C4×D4—21no—
80C2×C4×D4—21no—
81C2×C4×D4—21no—
82C2×C4×D4—21no—
83C2×C4×D4—21no—
84C2×C4×D4C2×C411yescharacteristic
85C2×C4×D4C2311yescharacteristic
86C2×#117—21no—
87C2×#117C2×C411yescharacteristic
88C2×#117C2×C411yescharacteristic
89C2×#117C2×C411yescharacteristic
90C22×C42—24no—
91C22×C42—24no—
92C22×C42—21no—
93C22×C42C2×C411yescharacteristic
94C22×C42C2×C411yescharacteristic
95C22×C42C2×C411yescharacteristic
96C22×C42D411yescharacteristic
97C22×C42D411yescharacteristic
98C22×C42D411yescharacteristic
99C22×C42D411yescharacteristic
100C22×C42D411yescharacteristic
101C22×C42D411yescharacteristic
102C22×C42C2311yescharacteristic
103C22×C42C2311yescharacteristic
104C22×C42C2311yescharacteristic
105#423—24no—
106#423—24no—
107C2×C4⋊C8—22no—
108C2×C4⋊C8C2314yes—
109#407—44no—
110C2×C22⋊C8—22no—
111C2×C22⋊C8—22no—
112C4×M16—28no—
113C4×M16—28no—
114C4×M16—24no—
115C4×M16—28no—
116C4×M16D418yescomplemented
117C2×#97—28no—
118C2×#97—22no—
119C2×#97—22no—
120C2×C4×C8—22no—
121C2×C4×C8—28no—
122C2×C4×C8C2314yes—
123#391C2×C411yescharacteristic
124#391C2×C411yescharacteristic
125#390C2×C411yescharacteristic
126#390C2×C411yescharacteristic
127#389C2×C411yescharacteristic
128#389C2×C411yescharacteristic
129#389C2×C411yescharacteristic
130#389C2×C411yescharacteristic
131#388—21no—
132#388—21no—
133#388—21no—
134#388—21no—
135#387—21no—
136#387—21no—
137#387—21no—
138#387—21no—
139#386—21no—
140#386—21no—
141#386—21no—
142#386—21no—
143#386—21no—
144#386—21no—
145#385—21no—
146#385—21no—
147#385—21no—
148#385—21no—
149#385—21no—
150#385—21no—
151#381—21no—
152#380C2×C411yescharacteristic
153#380C2×C411yescharacteristic
154#380C2×C411yescharacteristic
155#380C2×C411yescharacteristic
156#379—21no—
157C4×C4⋊C4—21no—
158C4×C4⋊C4—21no—
159C4×C4⋊C4—21no—
160C4×C4⋊C4—21no—
161C4×C4⋊C4—21no—
162C4×C4⋊C4—21no—
163C4×C4⋊C4C2×C411yescharacteristic
164C4×C4⋊C4C2×C411yescharacteristic
165C4×C4⋊C4C2311yescharacteristic
166C4×C4⋊C4C2311yescharacteristic
167C4×C22⋊C4—21no—
168C4×C22⋊C4—21no—
169C4×C22⋊C4—21no—
170C4×C22⋊C4—21no—
171C4×C22⋊C4—21no—
172C4×C22⋊C4—21no—
173C4×C22⋊C4—21no—
174C4×C22⋊C4—21no—
175C4×C22⋊C4—21no—
176C4×C22⋊C4—21no—
177C4×C22⋊C4—21no—
178C4×C22⋊C4—21no—
179C4×C22⋊C4—21no—
180C4×C22⋊C4—21no—
181#376—21no—
182C43—21no—
183#336—22no—
184#336—22no—
185Q8⋊C8—28no—
186D4⋊C8—28no—
187C25C22⋊C411yescharacteristic
188C2×#41—22no—
189C2×#41—22no—
190C2×#41—24no—
191C2×#41—42no—
192C22×Q8C22×C411yescharacteristic
193C22×D4—21no—
194C22×D4—21no—
195C22×D4—21no—
196C22×D4C22×C411yescharacteristic
197C23×C4—24no—
198C23×C4—24no—
199C23×C4—22no—
200C23×C4—22no—
201C23×C4—21no—
202C23×C4—24no—
203C23×C4—24no—
204C23×C4—22no—
205C23×C4—22no—
206C23×C4—22no—
207C23×C4—22no—
208C23×C4—21no—
209C23×C4—21no—
210C23×C4—42no—
211C23×C4—42no—
212C23×C4C22⋊C411yescharacteristic
213C23×C4C22⋊C411yescharacteristic
214C23×C4C22⋊C411yescharacteristic
215C23×C4C22⋊C411yescharacteristic
216C23×C4C22⋊C411yescharacteristic
217C23×C4C22⋊C411yescharacteristic
218C23×C4C22⋊C411yescharacteristic
219C23×C4C22⋊C411yescharacteristic
220C23×C4C22⋊C411yescharacteristic
221C23×C4C22×C411yescharacteristic
222C23×C4C22×C411yescharacteristic
223C23×C4C22×C411yescharacteristic
224C23×C4C2×D411yescharacteristic
225C23×C4C2×D411yescharacteristic
226C23×C4C2×D411yescharacteristic
227C23×C4C2×D411yescharacteristic
228C23×C4C2×D411yescharacteristic
229C23×C4C2×D411yescharacteristic
230C2×M16—264no—
231C2×M16—28no—
232C2×M16—28no—
233C2×M16—28no—
234C2×M16—28no—
235C2×M16—28no—
236C2×M16—28no—
237C2×M16—44no—
238C2×M16—44no—
239C2×M16—44no—
240C22×C8—28no—
241C22×C8—28no—
242C22×C8—28no—
243C22×C8—24no—
244C22×C8—24no—
245#123—28no—
246C22⋊Q8—22no—
247C22⋊Q8—22no—
248C22⋊Q8—22no—
249C22⋊Q8M1614yescomplemented
250#121—22no—
251#121—22no—
252#121—22no—
253#121M1614yescomplemented
254#120—28no—
255C4×Q8—24no—
256C4×Q8—22no—
257C4×Q8—22no—
258C4×D4—28no—
259C4×D4—28no—
260C4×D4—24no—
261C4×D4—22no—
262C4×D4—22no—
263C4×D4—44no—
264C4×D4—44no—
265C4×D4—44no—
266C4×D4—42no—
267C4×D4—44no—
268C4×D4—42no—
269C4×D4—42no—
270C4×D4—42no—
271#117—22no—
272#117—22no—
273#117—24no—
274#117—42no—
275#117—42no—
276#117—42no—
277C2×C4⋊C4—21no—
278C2×C4⋊C4—21no—
279C2×C4⋊C4—21no—
280C2×C4⋊C4—21no—
281C2×C4⋊C4—21no—
282C2×C4⋊C4—21no—
283C2×C4⋊C4—21no—
284C2×C4⋊C4—21no—
285C2×C4⋊C4C22×C411yescharacteristic
286C2×C4⋊C4C22×C411yescharacteristic
287C2×C4⋊C4C22×C411yescharacteristic
288C2×C4⋊C4C22×C411yescharacteristic
289C2×C4⋊C4C22×C411yescharacteristic
290C2×C4⋊C4C22×C411yescharacteristic
291C2×C22⋊C4—21no—
292C2×C22⋊C4—21no—
293C2×C22⋊C4—21no—
294C2×C22⋊C4—21no—
295C2×C22⋊C4—21no—
296C2×C22⋊C4—21no—
297C2×C22⋊C4—21no—
298C2×C22⋊C4—21no—
299C2×C22⋊C4—21no—
300C2×C22⋊C4—21no—
301C2×C22⋊C4—21no—
302C2×C22⋊C4—21no—
303C2×C22⋊C4—21no—
304C2×C22⋊C4—21no—
305C2×C22⋊C4—21no—
306C2×C22⋊C4—21no—
307C2×C22⋊C4—21no—
308C2×C42—21no—
309C2×C42—24no—
310C2×C42—22no—
311C2×C42—24no—
312C2×C42—22no—
313C2×C42—24no—
314C2×C42—24no—
315C2×C42—22no—
316C2×C42—22no—
317C2×C42—24no—
318C2×C42—24no—
319C2×C42—22no—
320C2×C42—22no—
321C2×C42—22no—
322C2×C42—22no—
323C2×C42—22no—
324C2×C42—22no—
325C2×C42—21no—
326C2×C42—21no—
327C2×C42—21no—
328C2×C42—21no—
329C2×C42—21no—
330C2×C42—21no—
331C2×C42—21no—
332C2×C42—21no—
333C2×C42—44no—
334C2×C42C22⋊C411yescharacteristic
335C2×C42C22⋊C411yescharacteristic
336C2×C42C22⋊C411yescharacteristic
337C2×C42C22⋊C411yescharacteristic
338C2×C42C22⋊C411yescharacteristic
339C2×C42C22⋊C411yescharacteristic
340C2×C42C22×C411yescharacteristic
341C2×C42C22×C411yescharacteristic
342C2×C42C22×C411yescharacteristic
343C2×C42C2×D411yescharacteristic
344C2×C42C2×D411yescharacteristic
345C2×C42C2×D411yescharacteristic
346C2×C42C2×D411yescharacteristic
347C2×C42C2×D414yes—
348C2×C42C2×D411yescharacteristic
349C2×C42C2×D411yescharacteristic
350C2×C42#4114yes—
351C2×C42C2411yescharacteristic
352C4⋊C8—24no—
353C4⋊C8—24no—
354C4⋊C8—44no—
355C22⋊C8—44no—
356C22⋊C8—44no—
357#97—28no—
358#97—28no—
359C4×C8—28no—
360C4×C8—24no—
361C4×C8C2×D418yes—
362#95—21no—
363#95—21no—
364#95—21no—
365#95—21no—
366#95—21no—
367#95—21no—
368#95—21no—
369#95—21no—
370#95—21no—
371#95—21no—
372#95—21no—
373#95—21no—
374#95—21no—
375#95—21no—
376#95—21no—
377#95—21no—
378C24—22no—
379C24—22no—
380C24—22no—
381C24—21no—
382C24—22no—
383C24—22no—
384C24—41no—
385C24—41no—
386C24C2×C22⋊C411yescharacteristic
387C24C2×C22⋊C411yescharacteristic
388C24C2×C22⋊C411yescharacteristic
389#41—48no—
390#41—48no—
391C2×Q8—21no—
392C2×Q8—22no—
393C2×Q8—22no—
394C2×Q8C2×M1612yescomplemented
395C2×D4—24no—
396C2×D4—24no—
397C2×D4—24no—
398C2×D4—22no—
399C2×D4—21no—
400C2×D4—22no—
401C2×D4—42no—
402C2×D4—42no—
403C2×D4—42no—
404C2×D4—42no—
405C2×D4—42no—
406C2×D4—42no—
407C2×D4C2×M1612yescomplemented
408C22×C4—216no—
409C22×C4—216no—
410C22×C4—22no—
411C22×C4—22no—
412C22×C4—22no—
413C22×C4—22no—
414C22×C4—21no—
415C22×C4—21no—
416C22×C4—22no—
417C22×C4—21no—
418C22×C4—21no—
419C22×C4—21no—
420C22×C4—21no—
421C22×C4—22no—
422C22×C4—22no—
423C22×C4—21no—
424C22×C4—21no—
425C22×C4—22no—
426C22×C4—22no—
427C22×C4—22no—
428C22×C4—22no—
429C22×C4—22no—
430C22×C4—22no—
431C22×C4—22no—
432C22×C4—22no—
433C22×C4—22no—
434C22×C4—22no—
435C22×C4—22no—
436C22×C4—22no—
437C22×C4—24no—
438C22×C4—21no—
439C22×C4—21no—
440C22×C4—21no—
441C22×C4—22no—
442C22×C4—22no—
443C22×C4—22no—
444C22×C4—22no—
445C22×C4—22no—
446C22×C4—22no—
447C22×C4—21no—
448C22×C4—21no—
449C22×C4—22no—
450C22×C4—21no—
451C22×C4—21no—
452C22×C4—22no—
453C22×C4—22no—
454C22×C4—22no—
455C22×C4—22no—
456C22×C4—22no—
457C22×C4—22no—
458C22×C4—22no—
459C22×C4—22no—
460C22×C4—22no—
461C22×C4—21no—
462C22×C4—21no—
463C22×C4—21no—
464C22×C4—21no—
465C22×C4—41no—
466C22×C4—41no—
467C22×C4—41no—
468C22×C4—41no—
469C22×C4—41no—
470C22×C4—41no—
471C22×C4—48no—
472C22×C4—48no—
473C22×C4—48no—
474C22×C4—48no—
475C22×C4—42no—
476C22×C4—42no—
477C22×C4—42no—
478C22×C4—41no—
479C22×C4—41no—
480C22×C4—42no—
481C22×C4—42no—
482C22×C4—42no—
483C22×C4—42no—
484C22×C4#10414yes—
485C22×C4#10414yes—
486C22×C4C2×C22⋊C411yescharacteristic
487C22×C4C2×C22⋊C411yescharacteristic
488C22×C4C2×C22⋊C411yescharacteristic
489C22×C4C2×C22⋊C411yescharacteristic
490C22×C4C2×C22⋊C411yescharacteristic
491C22×C4C2×C22⋊C411yescharacteristic
492C22×C4C2×C22⋊C411yescharacteristic
493C22×C4C2×C22⋊C411yescharacteristic
494C22×C4C2×C22⋊C411yescharacteristic
495C22×C4C4×D414yes—
496C22×C4#12012yes—
497C22×C4#12114yes—
498C22×C4#12312yes—
499C22×C4C2×M1612yes—
500C22×C4C2×M1612yes—
501C22×C4AGL(1,ℤ/8)12yes—
502C22×C4#13712yes—
503C22×C4C23×C411yescharacteristic
504C22×C4C22×D411yescharacteristic
505C22×C4C22×D411yescharacteristic
506M16—232no—
507M16—232no—
508M16—88no—
509C2×C8—232no—
510C2×C8—28no—
511C2×C8—28no—
512C2×C8—28no—
513C2×C8—44no—
514C2×C8—44no—
515C2×C8—44no—
516C4⋊C4—24no—
517C4⋊C4—21no—
518C4⋊C4—21no—
519C4⋊C4—24no—
520C4⋊C4—22no—
521C4⋊C4—22no—
522C4⋊C4—22no—
523C4⋊C4—22no—
524C4⋊C4—42no—
525C4⋊C4—41no—
526C4⋊C4—41no—
527C4⋊C4—42no—
528C4⋊C4—42no—
529C4⋊C4—42no—
530C4⋊C4—42no—
531C4⋊C4C2×M1612yescomplemented
532C4⋊C4C2×M1612yescomplemented
533C22⋊C4—24no—
534C22⋊C4—24no—
535C22⋊C4—24no—
536C22⋊C4—24no—
537C22⋊C4—24no—
538C22⋊C4—42no—
539C22⋊C4—42no—
540C22⋊C4—42no—
541C22⋊C4—42no—
542C22⋊C4—42no—
543C22⋊C4—42no—
544C22⋊C4—42no—
545C22⋊C4—41no—
546C22⋊C4—41no—
547C22⋊C4—42no—
548C22⋊C4—42no—
549C22⋊C4—42no—
550C22⋊C4—42no—
551C42—24no—
552C42—22no—
553C42—22no—
554C42—21no—
555C42—21no—
556C42—22no—
557C42—22no—
558C42—21no—
559C42—21no—
560C42—22no—
561C42—22no—
562C42—22no—
563C42—22no—
564C42—22no—
565C42—22no—
566C42—42no—
567C42—42no—
568C42—41no—
569C42—41no—
570C42—42no—
571C42—42no—
572C42—42no—
573C42—42no—
574C42—42no—
575C42C4×D414yes—
576C42#12012yes—
577C42#12114yes—
578C42#12312yes—
579C42C22×D412yes—
580C42C2×#4112yes—
581C23—21no—
582C23—21no—
583C23—21no—
584C23—21no—
585C23—28no—
586C23—21no—
587C23—21no—
588C23—21no—
589C23—21no—
590C23—21no—
591C23—21no—
592C23—21no—
593C23—21no—
594C23—21no—
595C23—21no—
596C23—21no—
597C23—21no—
598C23—22no—
599C23—44no—
600C23—44no—
601C23—44no—
602C23—44no—
603C23—44no—
604C23—44no—
605C23—41no—
606C23—41no—
607C23—41no—
608C23—41no—
609C23—41no—
610C23—41no—
611C23#38612yes—
612C23#40712yes—
613C23#41712yes—
614C23C2×#10412yes—
615C23C2×#10412yes—
616C23C22×C22⋊C411yescharacteristic
617Q8—24no—
618Q8—42no—
619D4—24no—
620D4—48no—
621D4—48no—
622D4—48no—
623D4—42no—
624C2×C4—24no—
625C2×C4—24no—
626C2×C4—24no—
627C2×C4—24no—
628C2×C4—28no—
629C2×C4—21no—
630C2×C4—21no—
631C2×C4—21no—
632C2×C4—21no—
633C2×C4—21no—
634C2×C4—21no—
635C2×C4—21no—
636C2×C4—21no—
637C2×C4—21no—
638C2×C4—21no—
639C2×C4—21no—
640C2×C4—21no—
641C2×C4—21no—
642C2×C4—21no—
643C2×C4—24no—
644C2×C4—28no—
645C2×C4—28no—
646C2×C4—24no—
647C2×C4—24no—
648C2×C4—24no—
649C2×C4—24no—
650C2×C4—24no—
651C2×C4—24no—
652C2×C4—24no—
653C2×C4—24no—
654C2×C4—24no—
655C2×C4—22no—
656C2×C4—22no—
657C2×C4—21no—
658C2×C4—22no—
659C2×C4—21no—
660C2×C4—21no—
661C2×C4—21no—
662C2×C4—21no—
663C2×C4—21no—
664C2×C4—44no—
665C2×C4—44no—
666C2×C4—44no—
667C2×C4—44no—
668C2×C4—44no—
669C2×C4—44no—
670C2×C4—48no—
671C2×C4—41no—
672C2×C4—41no—
673C2×C4—41no—
674C2×C4—41no—
675C2×C4—41no—
676C2×C4—41no—
677C2×C4—42no—
678C2×C4—42no—
679C2×C4—42no—
680C2×C4—42no—
681C2×C4—41no—
682C2×C4—41no—
683C2×C4—41no—
684C2×C4—41no—
685C2×C4—41no—
686C2×C4—41no—
687C2×C4—41no—
688C2×C4—41no—
689C2×C4—41no—
690C2×C4—41no—
691C2×C4—41no—
692C2×C4—41no—
693C2×C4—84no—
694C2×C4—82no—
695C2×C4—82no—
696C2×C4#38612yes—
697C2×C4#38612yes—
698C2×C4#38612yes—
699C2×C4#40712yes—
700C2×C4#41712yes—
701C2×C4C2×#10412yes—
702C2×C4C2×#10412yes—
703C2×C4C2×#10412yes—
704C2×C4C2×#10412yes—
705C2×C4C2×C4×D412yes—
706C2×C4C2×#12011yescharacteristic
707C2×C4C2×#12112yes—
708C2×C4C2×#12311yescharacteristic
709C2×C4C22×M1611yescharacteristic
710C2×C4C22×M1611yescharacteristic
711C2×C4#56812yes—
712C2×C4C2×AGL(1,ℤ/8)11yescharacteristic
713C2×C4C2×#13711yescharacteristic
714C2×C4#57512yes—
715C8—216no—
716C8—84no—
717C22—22no—
718C22—22no—
719C22—22no—
720C22—22no—
721C22—22no—
722C22—22no—
723C22—22no—
724C22—22no—
725C22—22no—
726C22—22no—
727C22—22no—
728C22—22no—
729C22—416no—
730C22—41no—
731C22—41no—
732C22—41no—
733C22—41no—
734C22—41no—
735C22—41no—
736C22—41no—
737C22—41no—
738C22—42no—
739C22—42no—
740C22—42no—
741C22—81no—
742C22—81no—
743C22—81no—
744C22—81no—
745C22#148914yescomplemented
746C22C2×#38611yescharacteristic
747C22C2×#40711yescharacteristic
748C22#287911yescharacteristic
749C22C2×#41711yescharacteristic
750C22#289611yescharacteristic
751C22C22×#10411yescharacteristic
752C22C22×#10411yescharacteristic
753C4—22no—
754C4—22no—
755C4—22no—
756C4—22no—
757C4—21no—
758C4—21no—
759C4—22no—
760C4—22no—
761C4—42no—
762C4—42no—
763C4—41no—
764C4—42no—
765C4—41no—
766C4—81no—
767C4—81no—
768C4—81no—
769C4—81no—
770C4#189614yes—
771C4D4×M1612yes—
772C4D4×M1612yes—
773C4#305512yes—
774C4#305612yes—
775C2—24no—
776C2—42no—
777C2—42no—
778C2—82no—
779C2C2×#148911yescharacteristic
780C2#1744711yescharacteristic
781C2#1750311yescharacteristic
782C2#1750411yescharacteristic
783C2#2089811yescharacteristic
784C2#2097111yescharacteristic
785C2C2×#189611yescharacteristic
subgroupG/H
centerC22×C4C22×D4
commutatorC22×C4C23×C4
Frattini, cosocleC2×C42C24
socleC23C22×C22⋊C4
prime radicalC2×#525C4
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C22×C4 ◁ C23×C42 ◁ G
LECSG ▷ C2×C42 ▷ C22 ▷ C1

Complements

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

NH ≅ G/Ntype
1. C22×C4×M16C2semidirect
3. #20626C2semidirect
4. C2×#1489C2semidirect
5. #9078C2semidirect
6. #9077C2semidirect
7. #9072C2semidirect
8. #9071C2semidirect
9. #7903C2semidirect
49. C2×Q8⋊C8C22semidirect
50. C2×D4⋊C8C22semidirect
51. #1279C22semidirect
52. #1279C22semidirect
116. C4×M16D4semidirect
249. C22⋊Q8M16semidirect
253. #121M16semidirect
394. C2×Q8C2×M16semidirect
407. C2×D4C2×M16semidirect
531. C4⋊C4C2×M16semidirect
532. C4⋊C4C2×M16semidirect
745. C22#1489semidirect

Maximal subgroups

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

subgroupindex
C22×C4×M162
C4×#5252
#206262
C2×#14892
#90782
#90772
#90722
#90712
#79032