Finite Group Databasebeta

← #204131

Subgroups — #204131

Order 512.

1382 conjugacy classes of subgroups.

The subgroup lattice has 755 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C4×#535C211yesmaximal, characteristic
2#21978C211yesmaximal, characteristic, complemented
3#20472C211yesmaximal, characteristic, complemented
4C2×#1489C211yesmaximal, characteristic, complemented
5C2×#1490C211yesmaximal, characteristic, complemented
6C2×#1488C211yesmaximal, characteristic, complemented
7C2×#1486C211yesmaximal, characteristic, complemented
8#9648C211yesmaximal, characteristic, complemented
9#9646C211yesmaximal, characteristic, complemented
10#9645C211yesmaximal, characteristic, complemented
11#9644C211yesmaximal, characteristic, complemented
12#9642C211yesmaximal, characteristic, complemented
13#9640C211yesmaximal, characteristic, complemented
14#9639C211yesmaximal, characteristic, complemented
15#9638C211yesmaximal, characteristic, complemented
16C2×#535C411yescharacteristic
17C2×C4×#41C2211yescharacteristic
18C22×C4×D4C2211yescharacteristic
19C2×#432C2211yescharacteristic
20C2×#431C2211yescharacteristic
21C2×#423C2211yescharacteristic
22C2×C4×M16C2211yescharacteristic
23#2328C411yescharacteristic
24#2328C411yescharacteristic
25#2326C411yescharacteristic
26#2326C411yescharacteristic
27#2324—22no—
28#2321—22no—
29#2317C411yescharacteristic
30#2311C411yescharacteristic
31#2309C411yescharacteristic
32C4×#127C2211yescharacteristic
33C4×#127C2211yescharacteristic
34C4×#124C2211yescharacteristic
35C4×#124C2211yescharacteristic
36C4×#121—22no—
37C4×#120—22no—
38C4×#117C2211yescharacteristic
39#1940—22no—
40#1851—22no—
41#1842C2211yescharacteristic, complemented
42#1842C2211yescharacteristic, complemented
43#1831C2211yescharacteristic, complemented
44#1831C2211yescharacteristic, complemented
45#1771—22no—
46#1753—22no—
47#1744C2211yescharacteristic, complemented
48#1744C2211yescharacteristic, complemented
49C4×#97C2211yescharacteristic, complemented
50C42×C8C2211yescharacteristic, complemented
51#1490—24no—
52#1489—24no—
53#1488—24no—
54#1486—24no—
55C2×Q8⋊C8C2211yescharacteristic, complemented
56C2×Q8⋊C8C2211yescharacteristic, complemented
57C2×Q8⋊C8C2211yescharacteristic, complemented
58C2×Q8⋊C8C2211yescharacteristic, complemented
59C2×D4⋊C8C2211yescharacteristic
60C2×D4⋊C8C2211yescharacteristic
61C2×D4⋊C8C2211yescharacteristic
62C2×D4⋊C8C2211yescharacteristic
63C2×D4⋊C8C2211yescharacteristic
64C2×D4⋊C8C2211yescharacteristic
65C2×D4⋊C8C2211yescharacteristic
66C2×D4⋊C8C2211yescharacteristic
67C2×D4⋊C8C2211yescharacteristic, complemented
68C2×D4⋊C8C2211yescharacteristic, complemented
69C2×D4⋊C8C2211yescharacteristic, complemented
70C2×D4⋊C8C2211yescharacteristic, complemented
71C22×#41C2×C411yescharacteristic
72C23×D4C2×C411yescharacteristic
73C24×C4—21no—
74C22×M16—21no—
75C22×M16—21no—
76#535—24no—
77#535—24no—
78C2×#127C2×C411yescharacteristic
79C2×#127C2×C411yescharacteristic
80C2×#124C2×C411yescharacteristic
81C2×#124C2×C411yescharacteristic
82C2×#121—22no—
83C2×#120—22no—
84C4×#41—22no—
85C4×#41—22no—
86C4×#41—22no—
87C4×#41—22no—
88C2×C4×Q8C2×C411yescharacteristic
89C2×C4×Q8C2311yescharacteristic
90C2×C4×D4—21no—
91C2×C4×D4—21no—
92C2×C4×D4—21no—
93C2×C4×D4—21no—
94C2×C4×D4—22no—
95C2×C4×D4—22no—
96C2×C4×D4—22no—
97C2×C4×D4—22no—
98C2×C4×D4—22no—
99C2×C4×D4—22no—
100C2×C4×D4C2×C411yescharacteristic
101C2×C4×D4C2×C411yescharacteristic
102C2×C4×D4C2×C411yescharacteristic
103C2×C4×D4C2311yescharacteristic
104C2×C4×D4C2311yescharacteristic
105C2×C4×D4C2311yescharacteristic
106C2×#117—21no—
107C2×#117C2×C411yescharacteristic
108C2×#117C2×C411yescharacteristic
109C2×#117C2×C411yescharacteristic
110C22×C4⋊C4C2×C411yescharacteristic
111C22×C22⋊C4—21no—
112C22×C42—21no—
113C22×C42C2311yescharacteristic
114#432—22no—
115#432—22no—
116#431—22no—
117#431D414yescomplemented
118#423—22no—
119#423—22no—
120C2×C4⋊C8—21no—
121C2×C4⋊C8—21no—
122C2×C4⋊C8—22no—
123C2×C4⋊C8—22no—
124C2×C4⋊C8C2311yescharacteristic
125C2×C4⋊C8C2311yescharacteristic
126C2×C4⋊C8C2311yescharacteristic
127C2×C4⋊C8C2311yescharacteristic
128C2×C22⋊C8—21no—
129C2×C22⋊C8—21no—
130C4×M16—22no—
131C4×M16D414yescomplemented
132C2×#97—21no—
133C2×#97—21no—
134C2×#97—22no—
135C2×C4×C8—22no—
136C2×C4×C8C2311yescharacteristic
137C2×C4×C8C2311yescharacteristic
138C2×C4×C8C2311yescharacteristic
139C2×C4×C8C2311yescharacteristic
140#391C2×C411yescharacteristic
141#391C2×C411yescharacteristic
142#390—22no—
143#390—22no—
144#390—22no—
145#390C2×C411yescharacteristic
146#390C2×C411yescharacteristic
147#390C2×C411yescharacteristic
148#390C2×C411yescharacteristic
149#390C2×C411yescharacteristic
150#390C2×C411yescharacteristic
151#389—22no—
152#388—22no—
153#388—22no—
154#388—22no—
155#388—22no—
156#386—22no—
157#386—22no—
158#386—22no—
159#386—22no—
160#386—22no—
161#385—22no—
162#385—22no—
163#385—22no—
164#384C2×C411yescharacteristic
165#384C2×C411yescharacteristic
166#382C2×C411yescharacteristic
167#382C2×C411yescharacteristic
168#380—22no—
169#379—22no—
170C4×C4⋊C4D412yes—
171C4×C4⋊C4D412yes—
172C4×C22⋊C4—22no—
173C4×C22⋊C4—22no—
174C4×C22⋊C4D412yes—
175C4×C22⋊C4D412yes—
176#376C2×C411yescharacteristic
177#376C2×C411yescharacteristic
178C43C2311yescharacteristic
179C43C2311yescharacteristic
180#336—22no—
181#336—22no—
182#336—22no—
183#336—22no—
184Q8⋊C8—22no—
185Q8⋊C8—22no—
186Q8⋊C8—22no—
187Q8⋊C8—22no—
188D4⋊C8—22no—
189D4⋊C8—22no—
190D4⋊C8—22no—
191D4⋊C8—22no—
192D4⋊C8—22no—
193D4⋊C8—22no—
194D4⋊C8—22no—
195D4⋊C8—22no—
196D4⋊C8—22no—
197D4⋊C8—22no—
198D4⋊C8—22no—
199D4⋊C8—22no—
200C25—21no—
201C2×#41—22no—
202C2×#41—22no—
203C2×#41—22no—
204C2×#41—22no—
205C2×#41—41no—
206C2×#41—41no—
207C22×Q8C22×C411yescharacteristic
208C22×D4—21no—
209C22×D4—22no—
210C22×D4—22no—
211C22×D4—21no—
212C22×D4—22no—
213C22×D4—22no—
214C22×D4—22no—
215C22×D4—22no—
216C22×D4—41no—
217C22×D4—41no—
218C22×D4C22×C411yescharacteristic
219C22×D4C22×C411yescharacteristic
220C22×D4C22×C411yescharacteristic
221C23×C4—21no—
222C23×C4—21no—
223C23×C4—21no—
224C23×C4—21no—
225C23×C4—21no—
226C23×C4—21no—
227C23×C4—21no—
228C23×C4—21no—
229C23×C4—42no—
230C23×C4—42no—
231C23×C4—82no—
232C23×C4—82no—
233C23×C4C22×C411yescharacteristic
234C23×C4C2×D411yescharacteristic
235C23×C4C2×D411yescharacteristic
236C2×M16—24no—
237C2×M16—44no—
238C2×M16—42no—
239C2×M16—82no—
240C22×C8—21no—
241C22×C8—21no—
242C22×C8—21no—
243C22×C8—21no—
244C22×C8—21no—
245C22×C8—21no—
246C22×C8—21no—
247C22×C8—21no—
248#127—22no—
249#127—22no—
250#127—22no—
251#127M1614yescomplemented
252#124—22no—
253#124—22no—
254#124—22no—
255#124M1614yescomplemented
256#121—216no—
257#120—216no—
258C4×Q8—22no—
259C4×Q8—22no—
260C4×Q8—21no—
261C4×Q8—21no—
262C4×Q8—21no—
263C4×Q8—21no—
264C4×D4—22no—
265C4×D4—22no—
266C4×D4—22no—
267C4×D4—22no—
268C4×D4—22no—
269C4×D4—22no—
270C4×D4—21no—
271C4×D4—21no—
272C4×D4—21no—
273C4×D4—21no—
274C4×D4—21no—
275C4×D4—21no—
276C4×D4—21no—
277C4×D4—21no—
278C4×D4—21no—
279C4×D4—21no—
280C4×D4—21no—
281C4×D4—21no—
282C4×D4—42no—
283C4×D4—42no—
284C4×D4—42no—
285C4×D4—42no—
286C4×D4—42no—
287C4×D4—42no—
288C4×D4—42no—
289C4×D4—42no—
290C4×D4—82no—
291C4×D4—82no—
292C4×D4—82no—
293C4×D4—82no—
294#117—22no—
295#117—22no—
296#117—22no—
297#117—22no—
298#117—41no—
299#117—41no—
300#117—42no—
301#117—42no—
302C2×C4⋊C4—22no—
303C2×C4⋊C4—22no—
304C2×C4⋊C4—21no—
305C2×C4⋊C4—21no—
306C2×C4⋊C4—21no—
307C2×C4⋊C4—22no—
308C2×C4⋊C4—22no—
309C2×C4⋊C4C22⋊C412yes—
310C2×C4⋊C4C22⋊C412yes—
311C2×C4⋊C4C22×C411yescharacteristic
312C2×C4⋊C4C22×C411yescharacteristic
313C2×C4⋊C4C22×C411yescharacteristic
314C2×C4⋊C4C22×C411yescharacteristic
315C2×C22⋊C4—22no—
316C2×C22⋊C4—22no—
317C2×C22⋊C4—21no—
318C2×C22⋊C4—21no—
319C2×C22⋊C4—21no—
320C2×C22⋊C4—21no—
321C2×C22⋊C4—21no—
322C2×C22⋊C4—21no—
323C2×C22⋊C4—21no—
324C2×C22⋊C4—22no—
325C2×C22⋊C4—22no—
326C2×C22⋊C4—22no—
327C2×C22⋊C4—22no—
328C2×C22⋊C4—22no—
329C2×C22⋊C4—22no—
330C2×C22⋊C4—42no—
331C2×C22⋊C4—42no—
332C2×C22⋊C4C22⋊C412yes—
333C2×C22⋊C4C22⋊C412yes—
334C2×C42—21no—
335C2×C42—21no—
336C2×C42—21no—
337C2×C42—42no—
338C2×C42—42no—
339C2×C42C22×C411yescharacteristic
340C2×C42C22×C411yescharacteristic
341C2×C42C22×C411yescharacteristic
342C2×C42C22×C411yescharacteristic
343C2×C42C22×C411yescharacteristic
344C2×C42C2×D412yes—
345C2×C42C2×D412yes—
346C2×C42C2×D412yes—
347C2×C42C2×D412yes—
348C2×C42C2×D412yes—
349C2×C42C2×D412yes—
350C2×C42C2×D411yescharacteristic
351C2×C42C2×D411yescharacteristic
352C2×C42#4112yes—
353C2×C42#4112yes—
354C2×C42C2411yescharacteristic
355C4⋊C8—24no—
356C4⋊C8—21no—
357C4⋊C8—21no—
358C4⋊C8—21no—
359C4⋊C8—21no—
360C4⋊C8—21no—
361C4⋊C8—21no—
362C4⋊C8—21no—
363C4⋊C8—21no—
364C4⋊C8—42no—
365C4⋊C8—82no—
366C4⋊C8—82no—
367C22⋊C8—24no—
368C22⋊C8—42no—
369#97—24no—
370#97—44no—
371#97—42no—
372C4×C8—21no—
373C4×C8—21no—
374C4×C8—21no—
375C4×C8—21no—
376C4×C8—44no—
377C4×C8C2×D412yes—
378C4×C8C2×D412yes—
379C4×C8C2×D412yes—
380C4×C8C2×D412yes—
381#95—22no—
382#95—22no—
383#95—22no—
384#95—22no—
385#95C22⋊C412yes—
386#95C22⋊C412yes—
387#95C22⋊C412yes—
388#95C22⋊C412yes—
389C24—24no—
390C24—21no—
391C24—21no—
392C24—21no—
393C24—42no—
394C24—42no—
395C24—82no—
396C24—82no—
397C24C2×C22⋊C411yescharacteristic
398#41—44no—
399#41—44no—
400#41—44no—
401#41—44no—
402C2×Q8—21no—
403C2×Q8—21no—
404C2×Q8—21no—
405C2×Q8—21no—
406C2×Q8—21no—
407C2×Q8C2×M1612yes—
408C2×D4—24no—
409C2×D4—24no—
410C2×D4—28no—
411C2×D4—21no—
412C2×D4—21no—
413C2×D4—21no—
414C2×D4—21no—
415C2×D4—21no—
416C2×D4—21no—
417C2×D4—21no—
418C2×D4—21no—
419C2×D4—21no—
420C2×D4—21no—
421C2×D4—21no—
422C2×D4—21no—
423C2×D4—21no—
424C2×D4—21no—
425C2×D4—21no—
426C2×D4—28no—
427C2×D4—44no—
428C2×D4—44no—
429C2×D4—44no—
430C2×D4—44no—
431C2×D4—42no—
432C2×D4—42no—
433C2×D4—42no—
434C2×D4—42no—
435C2×D4—82no—
436C2×D4—82no—
437C2×D4—82no—
438C2×D4—82no—
439C2×D4C2×M1612yes—
440C2×D4C2×M1612yes—
441C2×D4C2×M1612yes—
442C22×C4—21no—
443C22×C4—21no—
444C22×C4—21no—
445C22×C4—21no—
446C22×C4—22no—
447C22×C4—22no—
448C22×C4—24no—
449C22×C4—21no—
450C22×C4—21no—
451C22×C4—21no—
452C22×C4—21no—
453C22×C4—21no—
454C22×C4—42no—
455C22×C4—42no—
456C22×C4—42no—
457C22×C4—42no—
458C22×C4—41no—
459C22×C4—41no—
460C22×C4—41no—
461C22×C4—41no—
462C22×C4—41no—
463C22×C4—41no—
464C22×C4—42no—
465C22×C4—42no—
466C22×C4—42no—
467C22×C4—42no—
468C22×C4—42no—
469C22×C4—42no—
470C22×C4—42no—
471C22×C4—42no—
472C22×C4—42no—
473C22×C4—82no—
474C22×C4—82no—
475C22×C4—82no—
476C22×C4—88no—
477C22×C4—84no—
478C22×C4—84no—
479C22×C4—82no—
480C22×C4C2×C22⋊C412yes—
481C22×C4C2×C22⋊C412yes—
482C22×C4C2×C22⋊C412yes—
483C22×C4C2×C22⋊C411yescharacteristic
484C22×C4C2×C22⋊C411yescharacteristic
485C22×C4C2×C22⋊C411yescharacteristic
486C22×C4C2×C22⋊C412yes—
487C22×C4C4×D412yes—
488C22×C4C4×D412yes—
489C22×C4#12112yes—
490C22×C4#12112yes—
491C22×C4#12412yes—
492C22×C4#12712yes—
493C22×C4C23×C411yescharacteristic
494C22×C4C22×D411yescharacteristic
495C22×C4C22×D411yescharacteristic
496M16—48no—
497M16—84no—
498C2×C8—24no—
499C2×C8—22no—
500C2×C8—22no—
501C2×C8—22no—
502C2×C8—22no—
503C2×C8—42no—
504C2×C8—42no—
505C2×C8—42no—
506C2×C8—41no—
507C2×C8—41no—
508C2×C8—41no—
509C2×C8—41no—
510C2×C8—42no—
511C2×C8—42no—
512C2×C8—42no—
513C2×C8—42no—
514C4⋊C4—24no—
515C4⋊C4—21no—
516C4⋊C4—21no—
517C4⋊C4—21no—
518C4⋊C4—21no—
519C4⋊C4—21no—
520C4⋊C4—21no—
521C4⋊C4—21no—
522C4⋊C4—21no—
523C4⋊C4—42no—
524C4⋊C4—41no—
525C4⋊C4—41no—
526C4⋊C4—42no—
527C4⋊C4—42no—
528C4⋊C4—82no—
529C4⋊C4—82no—
530C22⋊C4—28no—
531C22⋊C4—28no—
532C22⋊C4—24no—
533C22⋊C4—42no—
534C22⋊C4—42no—
535C22⋊C4—41no—
536C22⋊C4—41no—
537C22⋊C4—41no—
538C22⋊C4—41no—
539C22⋊C4—41no—
540C22⋊C4—41no—
541C22⋊C4—42no—
542C22⋊C4—42no—
543C22⋊C4—42no—
544C22⋊C4—82no—
545C22⋊C4—82no—
546C22⋊C4—82no—
547C22⋊C4—82no—
548C22⋊C4—82no—
549C22⋊C4—82no—
550C42—21no—
551C42—21no—
552C42—21no—
553C42—21no—
554C42—21no—
555C42—21no—
556C42—22no—
557C42—22no—
558C42—22no—
559C42—22no—
560C42—42no—
561C42—42no—
562C42—41no—
563C42—41no—
564C42—42no—
565C42—42no—
566C42C4×D412yes—
567C42C4×D412yes—
568C42#12112yes—
569C42#12112yes—
570C42#12412yes—
571C42#12712yes—
572C42C2×M1612yes—
573C42C2×M1612yes—
574C42C22×D411yescharacteristic
575C42C22×D411yescharacteristic
576C42C2×#4111yescharacteristic
577C42C2×#4111yescharacteristic
578C23—21no—
579C23—21no—
580C23—22no—
581C23—22no—
582C23—22no—
583C23—22no—
584C23—22no—
585C23—48no—
586C23—41no—
587C23—41no—
588C23—41no—
589C23—42no—
590C23—42no—
591C23—42no—
592C23—42no—
593C23—42no—
594C23—42no—
595C23—41no—
596C23—41no—
597C23—41no—
598C23—84no—
599C23—84no—
600C23—88no—
601C23—88no—
602C23#39012yes—
603C23C22×C22⋊C411yescharacteristic
604Q8—22no—
605Q8—22no—
606Q8—41no—
607Q8—41no—
608D4—22no—
609D4—22no—
610D4—22no—
611D4—22no—
612D4—22no—
613D4—22no—
614D4—48no—
615D4—48no—
616D4—41no—
617D4—41no—
618D4—41no—
619D4—41no—
620D4—41no—
621D4—41no—
622D4—88no—
623D4—88no—
624C2×C4—21no—
625C2×C4—21no—
626C2×C4—22no—
627C2×C4—22no—
628C2×C4—22no—
629C2×C4—22no—
630C2×C4—22no—
631C2×C4—24no—
632C2×C4—22no—
633C2×C4—22no—
634C2×C4—22no—
635C2×C4—22no—
636C2×C4—22no—
637C2×C4—22no—
638C2×C4—22no—
639C2×C4—22no—
640C2×C4—22no—
641C2×C4—22no—
642C2×C4—22no—
643C2×C4—22no—
644C2×C4—22no—
645C2×C4—22no—
646C2×C4—22no—
647C2×C4—22no—
648C2×C4—42no—
649C2×C4—42no—
650C2×C4—48no—
651C2×C4—41no—
652C2×C4—41no—
653C2×C4—42no—
654C2×C4—42no—
655C2×C4—42no—
656C2×C4—42no—
657C2×C4—41no—
658C2×C4—41no—
659C2×C4—41no—
660C2×C4—41no—
661C2×C4—84no—
662C2×C4—84no—
663C2×C4—84no—
664C2×C4—84no—
665C2×C4—82no—
666C2×C4—82no—
667C2×C4—82no—
668C2×C4—81no—
669C2×C4—81no—
670C2×C4—81no—
671C2×C4—81no—
672C2×C4—81no—
673C2×C4—81no—
674C2×C4#39012yes—
675C2×C4#39012yes—
676C2×C4#39012yes—
677C2×C4#40714yes—
678C2×C4C2×C4×D411yescharacteristic
679C2×C4C2×C4×D411yescharacteristic
680C2×C4C2×#12111yescharacteristic
681C2×C4C2×#12111yescharacteristic
682C2×C4C2×#12411yescharacteristic
683C2×C4C2×#12711yescharacteristic
684C2×C4C22×M1611yescharacteristic
685C2×C4C22×M1611yescharacteristic
686C2×C4#56811yescharacteristic
687C2×C4#56811yescharacteristic
688C2×C4#57612yes—
689C2×C4#57712yes—
690C8—24no—
691C8—42no—
692C8—42no—
693C8—42no—
694C8—81no—
695C8—81no—
696C8—81no—
697C8—81no—
698C22—22no—
699C22—22no—
700C22—22no—
701C22—42no—
702C22—42no—
703C22—44no—
704C22—44no—
705C22—44no—
706C22—42no—
707C22—42no—
708C22—42no—
709C22—816no—
710C22—82no—
711C22—82no—
712C22—82no—
713C22—81no—
714C22—81no—
715C22—81no—
716C22—81no—
717C22—81no—
718C22—81no—
719C22C2×#39011yescharacteristic
720C22C2×#40711yescharacteristic
721C22#287911yescharacteristic
722C22#289712yes—
723C22#290112yes—
724C4—24no—
725C4—22no—
726C4—22no—
727C4—21no—
728C4—21no—
729C4—22no—
730C4—42no—
731C4—42no—
732C4—42no—
733C4—42no—
734C4—81no—
735C4—81no—
736C4—81no—
737C4—81no—
738C4D4×M1611yescharacteristic
739C4D4×M1611yescharacteristic
740C4D4×M1611yescharacteristic
741C4D4×M1611yescharacteristic
742C4#313612yes—
743C4#315411yescharacteristic
744C4#315511yescharacteristic
745C2—42no—
746C2—82no—
747C2—82no—
748C2—82no—
749C2#1745312yes—
750C2#1750512yes—
751C2#2119011yescharacteristic
752C2#2120611yescharacteristic
753C2#2121011yescharacteristic
subgroupG/H
centerC22×C4C22×D4
commutatorC22×C4C23×C4
Frattini, cosocleC2×C42C24
socleC23C22×C22⋊C4
prime radicalC2×#535C4
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C22×C4 ◁ C4×#117 ◁ G
LECSG ▷ C2×C42 ▷ C22 ▷ C1

Complements

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

NH ≅ G/Ntype
2. #21978C2semidirect
3. #20472C2semidirect
4. C2×#1489C2semidirect
5. C2×#1490C2semidirect
6. C2×#1488C2semidirect
7. C2×#1486C2semidirect
8. #9648C2semidirect
9. #9646C2semidirect
10. #9645C2semidirect
11. #9644C2semidirect
12. #9642C2semidirect
13. #9640C2semidirect
14. #9639C2semidirect
15. #9638C2semidirect
41. #1842C22semidirect
42. #1842C22semidirect
43. #1831C22semidirect
44. #1831C22semidirect
47. #1744C22semidirect
48. #1744C22semidirect
49. C4×#97C22semidirect
50. C42×C8C22semidirect
55. C2×Q8⋊C8C22semidirect
56. C2×Q8⋊C8C22semidirect
57. C2×Q8⋊C8C22semidirect
58. C2×Q8⋊C8C22semidirect
67. C2×D4⋊C8C22semidirect
68. C2×D4⋊C8C22semidirect
69. C2×D4⋊C8C22semidirect
70. C2×D4⋊C8C22semidirect
117. #431D4semidirect
131. C4×M16D4semidirect
251. #127M16semidirect
255. #124M16semidirect

Maximal subgroups

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

subgroupindex
C4×#5352
#219782
#204722
C2×#14892
C2×#14902
C2×#14882
C2×#14862
#96482
#96462
#96452
#96442
#96422
#96402
#96392
#96382