Finite Group Databasebeta

← #364765

Subgroups — #364765

Order 512.

1862 conjugacy classes of subgroups.

The subgroup lattice has 758 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×C8×Q8C211yesmaximal, characteristic, complemented
2C2×C4×C22⋊Q8C211yesmaximal, characteristic
3C2×#1984C211yesmaximal, characteristic, complemented
4C2×#1797C211yesmaximal, characteristic
5C2×C4×C22⋊C8C211yesmaximal, characteristic
6#11202C212yesmaximal, complemented
7#11042C212yesmaximal
8#10921C212yesmaximal
9#10874C212yesmaximal, complemented
10#10834C211yesmaximal, characteristic, complemented
11#10834C211yesmaximal, characteristic, complemented
12C22×C22⋊Q8C411yescharacteristic
13C22×C4×Q8C2211yescharacteristic
14C23×C42C2211yescharacteristic
15C2×C8×Q8—24no—
16C2×C8×Q8—24no—
17C2×C8×Q8—24no—
18C22×C4⋊C8C2212yes—
19C22×C4⋊C8C2211yescharacteristic
20C22×C4⋊C8C2211yescharacteristic
21C22×C22⋊C8C2211yescharacteristic
22C22×C22⋊C8C2212yes—
23C22×C22⋊C8C2211yescharacteristic
24C22×C4×C8C2212yes—
25C22×C4×C8C2211yescharacteristic
26C22×C4×C8C2211yescharacteristic
27C4×C22⋊Q8—24no—
28C4×C22⋊Q8—24no—
29C2×#391C411yescharacteristic
30C2×#389C411yescharacteristic
31C2×#387C412yes—
32C2×#385C412yes—
33C2×#380C411yescharacteristic
34C2×C4×C4⋊C4C2211yescharacteristic
35C2×C4×C4⋊C4C2212yes—
36C2×C4×C22⋊C4C2212yes—
37#1984—24no—
38#1797—24no—
39C4×C22⋊C8—24no—
40C2×#336C2212yes—
41C2×#336C2212yes—
42C2×#336C2212yes—
43C2×#336C2212yes—
44C2×#336C2211yescharacteristic
45C2×#336C2212yes—
46C2×#336C2211yescharacteristic
47C2×#336C2212yes—
48C2×#336C2212yes—
49C23×Q8C2×C411yescharacteristic
50C24×C4C2×C411yescharacteristic
51C24×C4C2×C411yescharacteristic
52C24×C4C2311yescharacteristic
53C23×C8C2312yes—
54C23×C8C2312yes—
55C23×C8C2311yescharacteristic
56C23×C8C2311yescharacteristic
57C23×C8C2311yescharacteristic
58C23×C8C2311yescharacteristic
59C2×C22⋊Q8—24no—
60C2×C22⋊Q8—24no—
61C2×C22⋊Q8C818yescomplemented
62C2×C4×Q8—22no—
63C2×C4×Q8—22no—
64C2×C4×Q8—22no—
65C2×C4×Q8—22no—
66C2×C4×Q8D414yes—
67C2×C4×Q8D414yes—
68C22×C4⋊C4C2×C411yescharacteristic
69C22×C4⋊C4C2×C412yes—
70C22×C4⋊C4C2×C411yescharacteristic
71C22×C4⋊C4C2×C412yes—
72C22×C4⋊C4C2×C412yes—
73C22×C4⋊C4C2×C411yescharacteristic
74C22×C22⋊C4C2×C412yes—
75C22×C22⋊C4C2×C412yes—
76C22×C42—22no—
77C22×C42—22no—
78C22×C42—22no—
79C22×C42—22no—
80C22×C42—22no—
81C22×C42—22no—
82C22×C42C2×C411yescharacteristic
83C22×C42C2×C411yescharacteristic
84C22×C42C2311yescharacteristic
85C22×C42C2312yes—
86C22×C42C2312yes—
87C22×C42C2311yescharacteristic
88C8×Q8—232no—
89C2×C4⋊C8—24no—
90C2×C4⋊C8—24no—
91C2×C4⋊C8—24no—
92C2×C4⋊C8—22no—
93C2×C4⋊C8—22no—
94C2×C4⋊C8—22no—
95C2×C4⋊C8—22no—
96C2×C4⋊C8—22no—
97C2×C4⋊C8D414yes—
98C2×C22⋊C8—22no—
99C2×C22⋊C8—22no—
100C2×C22⋊C8—22no—
101C2×C22⋊C8—22no—
102C2×C22⋊C8—22no—
103C2×C22⋊C8—24no—
104C2×C22⋊C8—24no—
105C2×C22⋊C8—42no—
106C2×C22⋊C8Q814yescomplemented
107C2×C4×C8—24no—
108C2×C4×C8—24no—
109C2×C4×C8—24no—
110C2×C4×C8—22no—
111C2×C4×C8—22no—
112C2×C4×C8—22no—
113C2×C4×C8—22no—
114C2×C4×C8—22no—
115C2×C4×C8D414yes—
116#391—24no—
117#389—24no—
118#387—28no—
119#385—28no—
120#380—24no—
121C4×C4⋊C4—24no—
122C4×C4⋊C4—24no—
123C4×C4⋊C4—22no—
124C4×C4⋊C4—22no—
125C4×C22⋊C4—24no—
126C4×C22⋊C4—24no—
127C2×#95C2×C412yes—
128C2×#95C2×C412yes—
129C2×#95C2×C412yes—
130C2×#95C2×C412yes—
131C2×#95C2×C412yes—
132#336—24no—
133#336—22no—
134#336—22no—
135#336—24no—
136#336—24no—
137#336—24no—
138#336—24no—
139#336—42no—
140#336—42no—
141C25C22×C411yescharacteristic
142C22×Q8—22no—
143C22×Q8—22no—
144C22×Q8—22no—
145C22×Q8—22no—
146C22×Q8C22⋊C414yes—
147C22×Q8C2×C814yes—
148C22×Q8M1614yes—
149C23×C4—22no—
150C23×C4—22no—
151C23×C4—22no—
152C23×C4—22no—
153C23×C4—22no—
154C23×C4—22no—
155C23×C4—22no—
156C23×C4—22no—
157C23×C4—22no—
158C23×C4—21no—
159C23×C4—21no—
160C23×C4—21no—
161C23×C4—21no—
162C23×C4—21no—
163C23×C4—21no—
164C23×C4—21no—
165C23×C4—21no—
166C23×C4—21no—
167C23×C4—21no—
168C23×C4—21no—
169C23×C4—21no—
170C23×C4—22no—
171C23×C4—22no—
172C23×C4—41no—
173C23×C4—41no—
174C23×C4C2×C814yes—
175C23×C4C22×C412yes—
176C23×C4C22×C412yes—
177C23×C4C22×C411yescharacteristic
178C23×C4C22×C412yes—
179C23×C4C22×C411yescharacteristic
180C23×C4C22×C411yescharacteristic
181C23×C4C22×C411yescharacteristic
182C23×C4C22×C412yes—
183C23×C4C22×C411yescharacteristic
184C23×C4C2×Q812yes—
185C23×C4#4112yes—
186C23×C4C2411yescharacteristic
187C22×C8—21no—
188C22×C8—21no—
189C22×C8—21no—
190C22×C8—21no—
191C22×C8—21no—
192C22×C8—21no—
193C22×C8—21no—
194C22×C8—21no—
195C22×C8—22no—
196C22×C8—21no—
197C22×C8—22no—
198C22×C8—21no—
199C22×C8—22no—
200C22×C8—21no—
201C22×C8—21no—
202C22×C8—21no—
203C22×C8—21no—
204C22×C8—21no—
205C22×C8—21no—
206C22×C8—22no—
207C22×C8—21no—
208C22×C8—21no—
209C22×C8—22no—
210C22×C8—21no—
211C22×C8—22no—
212C22×C8—21no—
213C22×C8—21no—
214C22×C8—21no—
215C22×C8—22no—
216C22×C8—22no—
217C22×C8—22no—
218C22×C8—22no—
219C22×C8—22no—
220C22×C8—22no—
221C22×C8—22no—
222C22×C8C2×D414yes—
223C22×C8C2×D412yes—
224C22×C8C2×D412yes—
225C22×C8C2×Q812yes—
226C22×C8C2×Q812yes—
227C22×C8#4112yes—
228C22×C8#4112yes—
229C22⋊Q8—232no—
230C4×Q8—28no—
231C4×Q8—28no—
232C4×Q8—28no—
233C4×Q8—28no—
234C2×C4⋊C4—24no—
235C2×C4⋊C4—22no—
236C2×C4⋊C4—24no—
237C2×C4⋊C4—24no—
238C2×C4⋊C4—22no—
239C2×C4⋊C4—22no—
240C2×C4⋊C4—22no—
241C2×C4⋊C4—24no—
242C2×C4⋊C4—22no—
243C2×C4⋊C4—24no—
244C2×C4⋊C4—24no—
245C2×C4⋊C4—22no—
246C2×C4⋊C4—22no—
247C2×C4⋊C4—42no—
248C2×C4⋊C4C22⋊C414yes—
249C2×C4⋊C4C22⋊C418yes—
250C2×C4⋊C4C2×C814yes—
251C2×C4⋊C4C2×C818yes—
252C2×C22⋊C4—24no—
253C2×C22⋊C4—24no—
254C2×C22⋊C4—24no—
255C2×C22⋊C4—24no—
256C2×C22⋊C4—42no—
257C2×C22⋊C4C2×C818yes—
258C2×C42—22no—
259C2×C42—22no—
260C2×C42—22no—
261C2×C42—22no—
262C2×C42—22no—
263C2×C42—22no—
264C2×C42—22no—
265C2×C42—22no—
266C2×C42—22no—
267C2×C42—22no—
268C2×C42—21no—
269C2×C42—21no—
270C2×C42—22no—
271C2×C42—22no—
272C2×C42—21no—
273C2×C42—21no—
274C2×C42—22no—
275C2×C42—22no—
276C2×C42—21no—
277C2×C42—21no—
278C2×C42—22no—
279C2×C42—22no—
280C2×C42—44no—
281C2×C42—44no—
282C2×C42—44no—
283C2×C42—44no—
284C2×C42C2×D414yes—
285C2×C42C2×D414yes—
286C2×C42C2×D412yes—
287C2×C42C2×D412yes—
288C2×C42C2×D412yes—
289C2×C42C2×D412yes—
290C2×C42#4112yes—
291C2×C42#4112yes—
292C4⋊C8—216no—
293C4⋊C8—28no—
294C4⋊C8—44no—
295C22⋊C8—28no—
296C22⋊C8—28no—
297C22⋊C8—48no—
298C4×C8—216no—
299C4×C8—28no—
300C4×C8—44no—
301#95—24no—
302#95—24no—
303#95—24no—
304#95—24no—
305#95—24no—
306C24—21no—
307C24—21no—
308C24—21no—
309C24—21no—
310C24—21no—
311C24—21no—
312C24—21no—
313C24—21no—
314C24—21no—
315C24—21no—
316C24—21no—
317C24—21no—
318C24C4×Q812yes—
319C24C22×C812yes—
320C24#13112yes—
321C24C23×C411yescharacteristic
322C2×Q8—28no—
323C2×Q8—28no—
324C2×Q8—28no—
325C2×Q8—28no—
326C2×Q8—28no—
327C2×Q8—28no—
328C2×Q8C22⋊C8116yescomplemented
329C22×C4—22no—
330C22×C4—22no—
331C22×C4—21no—
332C22×C4—21no—
333C22×C4—22no—
334C22×C4—22no—
335C22×C4—21no—
336C22×C4—21no—
337C22×C4—28no—
338C22×C4—21no—
339C22×C4—21no—
340C22×C4—21no—
341C22×C4—22no—
342C22×C4—21no—
343C22×C4—21no—
344C22×C4—21no—
345C22×C4—21no—
346C22×C4—21no—
347C22×C4—21no—
348C22×C4—22no—
349C22×C4—22no—
350C22×C4—22no—
351C22×C4—21no—
352C22×C4—21no—
353C22×C4—22no—
354C22×C4—21no—
355C22×C4—22no—
356C22×C4—21no—
357C22×C4—22no—
358C22×C4—22no—
359C22×C4—22no—
360C22×C4—21no—
361C22×C4—21no—
362C22×C4—21no—
363C22×C4—22no—
364C22×C4—21no—
365C22×C4—22no—
366C22×C4—22no—
367C22×C4—21no—
368C22×C4—22no—
369C22×C4—22no—
370C22×C4—22no—
371C22×C4—22no—
372C22×C4—22no—
373C22×C4—22no—
374C22×C4—22no—
375C22×C4—22no—
376C22×C4—22no—
377C22×C4—22no—
378C22×C4—22no—
379C22×C4—22no—
380C22×C4—28no—
381C22×C4—28no—
382C22×C4—28no—
383C22×C4—22no—
384C22×C4—22no—
385C22×C4—22no—
386C22×C4—22no—
387C22×C4—22no—
388C22×C4—22no—
389C22×C4—22no—
390C22×C4—44no—
391C22×C4—44no—
392C22×C4—44no—
393C22×C4—44no—
394C22×C4—44no—
395C22×C4—41no—
396C22×C4—41no—
397C22×C4—41no—
398C22×C4—41no—
399C22×C4—41no—
400C22×C4—41no—
401C22×C4—41no—
402C22×C4—41no—
403C22×C4—41no—
404C22×C4—41no—
405C22×C4—41no—
406C22×C4—41no—
407C22×C4—41no—
408C22×C4—41no—
409C22×C4—41no—
410C22×C4—41no—
411C22×C4—44no—
412C22×C4—44no—
413C22×C4—44no—
414C22×C4—44no—
415C22×C4—44no—
416C22×C4C2×C22⋊C414yes—
417C22×C4C2×C22⋊C412yes—
418C22×C4C2×C22⋊C414yes—
419C22×C4C2×C22⋊C412yes—
420C22×C4C4×D412yes—
421C22×C4C4×D412yes—
422C22×C4C4×D412yes—
423C22×C4C4×D412yes—
424C22×C4C4×Q812yes—
425C22×C4C22×C814yes—
426C22×C4C22×C812yes—
427C22×C4C22×C814yes—
428C22×C4C22×C812yes—
429C22×C4C2×M1614yes—
430C22×C4C2×M1612yes—
431C22×C4#13112yes—
432C22×C4#13112yes—
433C22×C4#13112yes—
434C22×C4C22×D411yescharacteristic
435C22×C4C22×D411yescharacteristic
436C22×C4C22×D411yescharacteristic
437C22×C4C22×D411yescharacteristic
438C22×C4C22×Q811yescharacteristic
439C22×C4C2×#4111yescharacteristic
440C22×C4C2×#4111yescharacteristic
441C22×C4C2×#4111yescharacteristic
442C22×C4C2×#4111yescharacteristic
443C22×C4C2×#4111yescharacteristic
444C22×C4H(5,𝔽2)11yescharacteristic
445C22×C42−1+411yescharacteristic
446C22×C42−1+411yescharacteristic
447C22×C42−1+411yescharacteristic
448C2×C8—22no—
449C2×C8—22no—
450C2×C8—22no—
451C2×C8—22no—
452C2×C8—22no—
453C2×C8—22no—
454C2×C8—24no—
455C2×C8—22no—
456C2×C8—22no—
457C2×C8—22no—
458C2×C8—22no—
459C2×C8—22no—
460C2×C8—24no—
461C2×C8—24no—
462C2×C8—22no—
463C2×C8—22no—
464C2×C8—22no—
465C2×C8—22no—
466C2×C8—41no—
467C2×C8—41no—
468C2×C8—42no—
469C2×C8—41no—
470C2×C8—42no—
471C2×C8—41no—
472C2×C8—41no—
473C2×C8—41no—
474C2×C8—41no—
475C2×C8—42no—
476C2×C8—41no—
477C2×C8—42no—
478C2×C8—41no—
479C2×C8—41no—
480C2×C8—41no—
481C2×C8—41no—
482C2×C8—42no—
483C2×C8—42no—
484C2×C8—42no—
485C2×C8—42no—
486C2×C8—42no—
487C2×C8—42no—
488C2×C8—42no—
489C2×C8C22⋊Q814yescomplemented
490C4⋊C4—216no—
491C4⋊C4—28no—
492C4⋊C4—28no—
493C4⋊C4—216no—
494C4⋊C4—48no—
495C4⋊C4—44no—
496C22⋊C4—216no—
497C22⋊C4—48no—
498C42—24no—
499C42—24no—
500C42—24no—
501C42—24no—
502C42—41no—
503C42—41no—
504C42—41no—
505C42—41no—
506C42—42no—
507C42—42no—
508C42—42no—
509C42—42no—
510C42—44no—
511C42—44no—
512C42#12014yes—
513C42#12114yes—
514C42#12114yes—
515C42#12314yes—
516C23—22no—
517C23—22no—
518C23—22no—
519C23—22no—
520C23—22no—
521C23—22no—
522C23—22no—
523C23—22no—
524C23—22no—
525C23—22no—
526C23—22no—
527C23—22no—
528C23—22no—
529C23—22no—
530C23—22no—
531C23—22no—
532C23—22no—
533C23—22no—
534C23—41no—
535C23—41no—
536C23—41no—
537C23—41no—
538C23—41no—
539C23—41no—
540C23—41no—
541C23—41no—
542C23—41no—
543C23—41no—
544C23—41no—
545C23—41no—
546C23—41no—
547C23—41no—
548C23—41no—
549C23—41no—
550C23C8×Q814yescomplemented
551C23C22×C22⋊C411yescharacteristic
552C23C2×C4×D411yescharacteristic
553C23C2×C4×D411yescharacteristic
554C23C2×C4×Q811yescharacteristic
555C23C4×#4111yescharacteristic
556C23#51911yescharacteristic
557C23#52011yescharacteristic
558C23C23×C811yescharacteristic
559C23C22×M1611yescharacteristic
560C23C2×#13111yescharacteristic
561C23C2×#13111yescharacteristic
562C23C2×#13111yescharacteristic
563C23C2×#13111yescharacteristic
564C23#56811yescharacteristic
565C23#56811yescharacteristic
566Q8—232no—
567C2×C4—24no—
568C2×C4—22no—
569C2×C4—22no—
570C2×C4—24no—
571C2×C4—24no—
572C2×C4—24no—
573C2×C4—24no—
574C2×C4—22no—
575C2×C4—22no—
576C2×C4—22no—
577C2×C4—22no—
578C2×C4—24no—
579C2×C4—22no—
580C2×C4—22no—
581C2×C4—24no—
582C2×C4—22no—
583C2×C4—24no—
584C2×C4—22no—
585C2×C4—24no—
586C2×C4—22no—
587C2×C4—22no—
588C2×C4—22no—
589C2×C4—22no—
590C2×C4—24no—
591C2×C4—24no—
592C2×C4—24no—
593C2×C4—22no—
594C2×C4—416no—
595C2×C4—41no—
596C2×C4—42no—
597C2×C4—41no—
598C2×C4—41no—
599C2×C4—41no—
600C2×C4—42no—
601C2×C4—41no—
602C2×C4—41no—
603C2×C4—41no—
604C2×C4—42no—
605C2×C4—42no—
606C2×C4—41no—
607C2×C4—42no—
608C2×C4—42no—
609C2×C4—41no—
610C2×C4—42no—
611C2×C4—42no—
612C2×C4—41no—
613C2×C4—41no—
614C2×C4—41no—
615C2×C4—416no—
616C2×C4—42no—
617C2×C4—42no—
618C2×C4—42no—
619C2×C4—42no—
620C2×C4—42no—
621C2×C4—42no—
622C2×C4—42no—
623C2×C4—42no—
624C2×C4—42no—
625C2×C4—42no—
626C2×C4—42no—
627C2×C4—42no—
628C2×C4—42no—
629C2×C4—42no—
630C2×C4—42no—
631C2×C4#38614yes—
632C2×C4#38614yes—
633C2×C4C2×C22⋊C818yes—
634C2×C4C2×C22⋊C814yes—
635C2×C4#40814yes—
636C2×C4C8×D414yes—
637C2×C4C8×D414yes—
638C2×C4#43514yes—
639C2×C4#43514yes—
640C2×C4C2×#12011yescharacteristic
641C2×C4C2×#12111yescharacteristic
642C2×C4C2×#12111yescharacteristic
643C2×C4C2×C22⋊Q811yescharacteristic
644C2×C4C2×#12311yescharacteristic
645C2×C4#52511yescharacteristic
646C2×C4#52911yescharacteristic
647C2×C4#53311yescharacteristic
648C2×C4#53611yescharacteristic
649C2×C4#53711yescharacteristic
650C2×C4#54111yescharacteristic
651C2×C4#54211yescharacteristic
652C2×C4#54611yescharacteristic
653C2×C4#54711yescharacteristic
654C2×C4#54811yescharacteristic
655C2×C4#54811yescharacteristic
656C2×C4#54811yescharacteristic
657C2×C4#54811yescharacteristic
658C2×C4#54811yescharacteristic
659C2×C4D4×Q811yescharacteristic
660C2×C4D4×Q811yescharacteristic
661C2×C4D4×Q811yescharacteristic
662C2×C4#55011yescharacteristic
663C2×C4#55011yescharacteristic
664C2×C4#55211yescharacteristic
665C2×C4#55211yescharacteristic
666C2×C4#55411yescharacteristic
667C2×C4#55611yescharacteristic
668C8—24no—
669C8—42no—
670C8—44no—
671C8—42no—
672C8—42no—
673C8—82no—
674C22—24no—
675C22—24no—
676C22—24no—
677C22—42no—
678C22—42no—
679C22—42no—
680C22—42no—
681C22—42no—
682C22—42no—
683C22—42no—
684C22—42no—
685C22—42no—
686C22—42no—
687C22—42no—
688C22—42no—
689C22C2×#38611yescharacteristic
690C22C4×C22⋊Q811yescharacteristic
691C22#232311yescharacteristic
692C22Q8×C22⋊C411yescharacteristic
693C22#234111yescharacteristic
694C22#236011yescharacteristic
695C22#236211yescharacteristic
696C22C22×C22⋊C811yescharacteristic
697C22C2×#40811yescharacteristic
698C22#288011yescharacteristic
699C22#288011yescharacteristic
700C22C2×C8×D411yescharacteristic
701C22C2×C8×D411yescharacteristic
702C22C2×#43511yescharacteristic
703C22C2×#43511yescharacteristic
704C22#292911yescharacteristic
705C22#293011yescharacteristic
706C22#293311yescharacteristic
707C22#293311yescharacteristic
708C22C2×C8×Q811yescharacteristic
709C22#296011yescharacteristic
710C22#296211yescharacteristic
711C22Q8×M1611yescharacteristic
712C22C8×#4111yescharacteristic
713C22#296611yescharacteristic
714C22#296911yescharacteristic
715C22#297111yescharacteristic
716C22#298211yescharacteristic
717C22#298411yescharacteristic
718C22#298511yescharacteristic
719C22#298611yescharacteristic
720C22#298811yescharacteristic
721C22#299111yescharacteristic
722C22#299311yescharacteristic
723C22#299411yescharacteristic
724C4—28no—
725C4—24no—
726C4—44no—
727C4—42no—
728C4—42no—
729C4—44no—
730C4—42no—
731C4—82no—
732C4#186918yes—
733C4#240711yescharacteristic
734C4#240911yescharacteristic
735C4#242111yescharacteristic
736C4#242311yescharacteristic
737C4#242611yescharacteristic
738C4#242911yescharacteristic
739C4#253611yescharacteristic
740C4#253811yescharacteristic
741C2—44no—
742C2#1396911yescharacteristic
743C2C2×#186911yescharacteristic
744C2#2089911yescharacteristic
745C2C8×C22⋊Q811yescharacteristic
746C2#2159611yescharacteristic
747C2#2209811yescharacteristic
748C2#2210011yescharacteristic
749C2Q8×C22⋊C811yescharacteristic
750C2#2250911yescharacteristic
751C2#2253011yescharacteristic
752C2#2253111yescharacteristic
753C2#2295211yescharacteristic
754C2#2295311yescharacteristic
755C2#2305011yescharacteristic
756C2#2305111yescharacteristic
subgroupG/H
center, Frattini, cosocleC23×C4C24
commutatorC23C23×C8
socleC24C23×C4
prime radicalC25C22×C4
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23×C4 ◁ G
LECSG ▷ C23×C4 ▷ C2 ▷ C1

Complements

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

NH ≅ G/Ntype
1. C22×C8×Q8C2semidirect
3. C2×#1984C2semidirect
6. #11202C2semidirect
9. #10874C2semidirect
10. #10834C2semidirect
11. #10834C2semidirect
61. C2×C22⋊Q8C8semidirect
106. C2×C22⋊C8Q8semidirect
328. C2×Q8C22⋊C8semidirect
489. C2×C8C22⋊Q8semidirect
550. C23C8×Q8semidirect

Maximal subgroups

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

subgroupindex
C22×C8×Q82
C2×C4×C22⋊Q82
C2×#19842
C2×#17972
C2×C4×C22⋊C82
#112022
#110422
#109212
#108742
#108342