Finite Group Databasebeta

← #6468406

Subgroups — #6468406

Order 512.

1924 conjugacy classes of subgroups.

The subgroup lattice has 777 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C4×#533C211yesmaximal, characteristic, complemented
2C4×#532C211yesmaximal, characteristic
3#29290C211yesmaximal, characteristic, complemented
4#29287C211yesmaximal, characteristic, complemented
5#29275C212yesmaximal, complemented
6#29256C212yesmaximal, complemented
7#29236C214yesmaximal, complemented
8#28280C211yesmaximal, characteristic, complemented
9#28279C211yesmaximal, characteristic, complemented
10#27679C212yesmaximal, complemented
11#24300C212yesmaximal, complemented
12#23778C214yesmaximal, complemented
13C4×#476C212yesmaximal, complemented
14C4×#474C212yesmaximal, complemented
15#21390C212yesmaximal
16#21362C212yesmaximal, complemented
17#20808C211yesmaximal, characteristic, complemented
18C2×#533C2211yescharacteristic
19C2×#532C2211yescharacteristic
20C2×C4×#41—21no—
21C2×#476C2212yes—
22C2×#474C2212yes—
23C2×#431C2212yes—
24C4×C4⋊Q8C2211yescharacteristic
25C4×C4⋊Q8C2211yescharacteristic
26C4×C4⋊Q8C2211yescharacteristic
27C4×C4⋊Q8C2211yescharacteristic
28C4×C4⋊Q8C2211yescharacteristic
29C4×C4⋊Q8C2211yescharacteristic
30C4×#127C2211yescharacteristic
31C4×#127C2211yescharacteristic
32C4×#125C2212yes—
33C4×#125C2212yes—
34C4×#124—21no—
35C4×#124—21no—
36C4×C22⋊Q8—21no—
37C4×C22⋊Q8—21no—
38C4×C22⋊Q8—21no—
39C4×C22⋊Q8—21no—
40C4×#121—21no—
41C4×#121—21no—
42C4×#121C2212yes—
43C4×#121C2212yes—
44#2297—21no—
45#2296C2212yes—
46#2295—21no—
47#2295—21no—
48#2293—21no—
49#2293C2212yes—
50#2285C2211yescharacteristic
51#2285C2211yescharacteristic
52C42×Q8—21no—
53C42×Q8—21no—
54C42×D4—21no—
55C42×D4C2212yes—
56C4×#117C2212yes—
57C2×C43C2211yescharacteristic
58#2101C2214yes—
59#2092C2214yes—
60#2088C2214yes—
61#2087C2214yes—
62#2067C2214yes—
63#2065C2214yes—
64#2059C2214yes—
65#2025C2214yes—
66#1988C2212yes—
67#1987C2212yes—
68#1987C2212yes—
69#1987C2212yes—
70#1982C2212yes—
71#1982C2212yes—
72#1948C2212yes—
73#1948C2212yes—
74#1948C2212yes—
75#1947C2212yes—
76#1947C2212yes—
77#1947C2212yes—
78#1920C2214yes—
79#1918C2214yes—
80#1875C2214yes—
81#1875C2214yes—
82#1864C2214yes—
83#1862C2214yes—
84#1854C2214yes—
85#1854C2214yes—
86#1842C2211yescharacteristic
87#1842C2211yescharacteristic
88#1831C2212yes—
89#1802C2212yes—
90#1802C2212yes—
91#1797C2212yes—
92#1797C2212yes—
93C4×#107C2214yes—
94C4×#106C2214yes—
95C4×C4⋊C8C2212yes—
96C4×C4⋊C8C2212yes—
97C4×#102C2214yes—
98C4×#102C2214yes—
99C22×#41—21no—
100#533—24no—
101#533—24no—
102#532—24no—
103#532Q818yescomplemented
104C2×C4⋊Q8C2311yescharacteristic
105C2×C4⋊Q8C2311yescharacteristic
106C2×C4⋊Q8C2311yescharacteristic
107C2×#127C2311yescharacteristic
108C2×#125C2312yes—
109C2×#124—21no—
110C2×C22⋊Q8—21no—
111C2×C22⋊Q8—21no—
112C2×#121—21no—
113C2×#121C2312yes—
114C4×#41—48no—
115C2×C4×Q8—21no—
116C2×C4×Q8—21no—
117C2×C4×Q8—21no—
118C2×C4×Q8—21no—
119C2×C4×Q8—21no—
120C2×C4×Q8—21no—
121C2×C4×Q8—21no—
122C2×C4×Q8—21no—
123C2×C4×D4—22no—
124C2×C4×D4—22no—
125C2×C4×D4—21no—
126C2×C4×D4—21no—
127C2×C4×D4—21no—
128C2×C4×D4—21no—
129C2×C4×D4—21no—
130C2×C4×D4C2312yes—
131C2×C4×D4C2312yes—
132C2×C4×D4C2312yes—
133C2×#117—21no—
134C2×#117—22no—
135C2×#117C2312yes—
136C2×#117C2312yes—
137C22×C42—22no—
138C22×C42D411yescharacteristic
139C22×C42D411yescharacteristic
140C22×C42D411yescharacteristic
141C22×C42D411yescharacteristic
142C22×C42C2311yescharacteristic
143C22×C42C2311yescharacteristic
144C22×C42C2311yescharacteristic
145#476—28no—
146#474—28no—
147#431—28no—
148C2×#107C2314yes—
149C2×#107C2314yes—
150C2×#106C2314yes—
151C2×#106C2314yes—
152C2×C4⋊C8C2312yes—
153C2×C4⋊C8C2312yes—
154C2×C4⋊C8C2312yes—
155C2×C4⋊C8C2312yes—
156C2×C4⋊C8C2312yes—
157C2×C4⋊C8C2312yes—
158C2×#102C2314yes—
159C2×#102C2314yes—
160C2×#102C2314yes—
161C2×#102C2314yes—
162C2×C22⋊C8C2314yes—
163C2×C4×C8C2314yes—
164#391—21no—
165#391—21no—
166#391—21no—
167#391—21no—
168#391—21no—
169#391—21no—
170#390—21no—
171#390—21no—
172#390—21no—
173#390—21no—
174#390C2312yes—
175#390C2312yes—
176#389—21no—
177#389—21no—
178#389—21no—
179#389—21no—
180#389—21no—
181#389—21no—
182#389C2312yes—
183#389C2312yes—
184#389C2312yes—
185#389C2312yes—
186#389C2312yes—
187#389C2312yes—
188#388—22no—
189#388—22no—
190#388—22no—
191#388—22no—
192#387—22no—
193#387—22no—
194#387—22no—
195#387—22no—
196#386—22no—
197#386—22no—
198#385—22no—
199#385—22no—
200#384C2311yescharacteristic
201#384C2311yescharacteristic
202#384C2311yescharacteristic
203#384C2311yescharacteristic
204#382—21no—
205#382C2312yes—
206#380—21no—
207#380—21no—
208#380—21no—
209#380C2312yes—
210C4×C4⋊C4—22no—
211C4×C4⋊C4—22no—
212C4×C4⋊C4—22no—
213C4×C4⋊C4—22no—
214C4×C4⋊C4—21no—
215C4×C4⋊C4—21no—
216C4×C4⋊C4—21no—
217C4×C4⋊C4—21no—
218C4×C4⋊C4—21no—
219C4×C4⋊C4—21no—
220C4×C4⋊C4—21no—
221C4×C4⋊C4—21no—
222C4×C4⋊C4—21no—
223C4×C4⋊C4—22no—
224C4×C4⋊C4—22no—
225C4×C4⋊C4C2312yes—
226C4×C4⋊C4C2312yes—
227C4×C4⋊C4C2312yes—
228C4×C4⋊C4C2312yes—
229C4×C4⋊C4C2312yes—
230C4×C4⋊C4C2312yes—
231C4×C4⋊C4C2312yes—
232C4×C22⋊C4—22no—
233C4×C22⋊C4—22no—
234C4×C22⋊C4—22no—
235C4×C22⋊C4—22no—
236C4×C22⋊C4—22no—
237C4×C22⋊C4—22no—
238C4×C22⋊C4—22no—
239C4×C22⋊C4—22no—
240#376—22no—
241C43—22no—
242C43D411yescharacteristic
243C43D411yescharacteristic
244C43D411yescharacteristic
245C43D411yescharacteristic
246C43C2311yescharacteristic
247C43C2311yescharacteristic
248C43C2311yescharacteristic
249C43C2311yescharacteristic
250#340C2314yes—
251#340C2314yes—
252#340C2314yes—
253#340C2314yes—
254#340C2314yes—
255#340C2314yes—
256#340C2314yes—
257#340C2314yes—
258#336C2314yes—
259#336C2314yes—
260C2×#41—28no—
261C2×#41—44no—
262C2×#41—44no—
263C22×Q8—21no—
264C22×Q8—21no—
265C22×Q8—21no—
266C22×D4—22no—
267C22×D4—21no—
268C22×D4—21no—
269C22×D4C2412yes—
270C23×C4—22no—
271C23×C4—22no—
272C23×C4—22no—
273C23×C4C2×D411yescharacteristic
274C23×C4C2×D411yescharacteristic
275C23×C4C2×D411yescharacteristic
276C23×C4C2×D411yescharacteristic
277C23×C4C2×D411yescharacteristic
278C23×C4C2×D411yescharacteristic
279C23×C4C2411yescharacteristic
280C22×C8C2414yes—
281C22×C8C2414yes—
282C4⋊Q8—22no—
283C4⋊Q8—22no—
284C4⋊Q8—22no—
285C4⋊Q8C2×Q814yes—
286C4⋊Q8#4114yescomplemented
287C4⋊Q8#4114yescomplemented
288#127—22no—
289#127C2×Q814yes—
290#125—24no—
291#125—24no—
292#124—28no—
293C22⋊Q8—28no—
294C22⋊Q8—28no—
295#121—28no—
296#121—24no—
297#121C2×Q818yes—
298C4×Q8—28no—
299C4×Q8—28no—
300C4×Q8—44no—
301C4×Q8—44no—
302C4×Q8—44no—
303C4×Q8—44no—
304C4×Q8—44no—
305C4×Q8—44no—
306C4×D4—28no—
307C4×D4—24no—
308C4×D4—24no—
309C4×D4—24no—
310C4×D4—42no—
311C4×D4—42no—
312C4×D4—44no—
313C4×D4—44no—
314C4×D4—44no—
315C4×D4—48no—
316C4×D4—48no—
317C4×D4—44no—
318C4×D4C2×Q818yes—
319#117—24no—
320#117—24no—
321#117—48no—
322#117—42no—
323#117—42no—
324#117—44no—
325C2×C4⋊C4—21no—
326C2×C4⋊C4—22no—
327C2×C4⋊C4—22no—
328C2×C4⋊C4—21no—
329C2×C4⋊C4—21no—
330C2×C4⋊C4—21no—
331C2×C4⋊C4—21no—
332C2×C4⋊C4—22no—
333C2×C4⋊C4—22no—
334C2×C4⋊C4—21no—
335C2×C4⋊C4—21no—
336C2×C4⋊C4—21no—
337C2×C4⋊C4—21no—
338C2×C4⋊C4—21no—
339C2×C4⋊C4—21no—
340C2×C4⋊C4—22no—
341C2×C4⋊C4—22no—
342C2×C4⋊C4—22no—
343C2×C4⋊C4—22no—
344C2×C4⋊C4C2412yes—
345C2×C4⋊C4C2412yes—
346C2×C4⋊C4C2412yes—
347C2×C4⋊C4C2412yes—
348C2×C4⋊C4C2412yes—
349C2×C4⋊C4C2412yes—
350C2×C4⋊C4C2412yes—
351C2×C22⋊C4—22no—
352C2×C22⋊C4—22no—
353C2×C22⋊C4—22no—
354C2×C22⋊C4—22no—
355C2×C22⋊C4—22no—
356C2×C22⋊C4—22no—
357C2×C22⋊C4—22no—
358C2×C22⋊C4—22no—
359C2×C22⋊C4—22no—
360C2×C22⋊C4—22no—
361C2×C22⋊C4—22no—
362C2×C42—22no—
363C2×C42—24no—
364C2×C42—24no—
365C2×C42—22no—
366C2×C42—22no—
367C2×C42—22no—
368C2×C42—22no—
369C2×C42—22no—
370C2×C42—22no—
371C2×C42—22no—
372C2×C42—22no—
373C2×C42—22no—
374C2×C42—22no—
375C2×C42—42no—
376C2×C42—42no—
377C2×C42—41no—
378C2×C42—41no—
379C2×C42—48no—
380C2×C42C2×D411yescharacteristic
381C2×C42C2×D411yescharacteristic
382C2×C42C2×D411yescharacteristic
383C2×C42C2×D411yescharacteristic
384C2×C42C2×D411yescharacteristic
385C2×C42C2×D411yescharacteristic
386C2×C42C2×D411yescharacteristic
387C2×C42C2×D411yescharacteristic
388C2×C42C2×D411yescharacteristic
389C2×C42C2×D411yescharacteristic
390C2×C42C2×D411yescharacteristic
391C2×C42C2×D411yescharacteristic
392C2×C42C2×D411yescharacteristic
393C2×C42C2×D411yescharacteristic
394C2×C42C2×D411yescharacteristic
395C2×C42C2×D411yescharacteristic
396C2×C42C2×D411yescharacteristic
397C2×C42C2×D411yescharacteristic
398C2×C42C2×D411yescharacteristic
399C2×C42C2×D411yescharacteristic
400C2×C42C2×D411yescharacteristic
401C2×C42C2×D411yescharacteristic
402C2×C42C2×Q814yes—
403C2×C42#4114yes—
404C2×C42C2411yescharacteristic
405C2×C42C2411yescharacteristic
406C2×C42C2411yescharacteristic
407C2×C42C2411yescharacteristic
408C2×C42C2411yescharacteristic
409C2×C42C2411yescharacteristic
410#107—28no—
411#107—44no—
412#106—28no—
413#106—44no—
414C4⋊C8—24no—
415C4⋊C8—24no—
416C4⋊C8—24no—
417C4⋊C8—24no—
418C4⋊C8—42no—
419C4⋊C8—42no—
420#102—28no—
421#102—28no—
422#102—44no—
423#102—44no—
424C22⋊C8—28no—
425C4×C8—28no—
426#95—22no—
427#95—22no—
428#95—22no—
429#95—22no—
430#95—22no—
431#95—22no—
432#95—22no—
433#95—22no—
434#95—22no—
435#95—22no—
436#95—22no—
437#95—22no—
438#95—22no—
439#95—22no—
440#95—22no—
441#95—22no—
442C24—22no—
443C24C22×D411yescharacteristic
444#41—432no—
445C2×Q8—24no—
446C2×Q8—24no—
447C2×Q8—24no—
448C2×Q8—42no—
449C2×Q8—42no—
450C2×Q8—42no—
451C2×Q8—42no—
452C2×Q8—42no—
453C2×Q8—42no—
454C2×D4—28no—
455C2×D4—24no—
456C2×D4—24no—
457C2×D4—22no—
458C2×D4—22no—
459C2×D4—22no—
460C2×D4—22no—
461C2×D4—22no—
462C2×D4—42no—
463C2×D4—42no—
464C2×D4—44no—
465C2×D4—44no—
466C2×D4—42no—
467C2×D4—42no—
468C2×D4C22×Q814yes—
469C22×C4—22no—
470C22×C4—22no—
471C22×C4—22no—
472C22×C4—22no—
473C22×C4—21no—
474C22×C4—21no—
475C22×C4—21no—
476C22×C4—21no—
477C22×C4—22no—
478C22×C4—22no—
479C22×C4—22no—
480C22×C4—28no—
481C22×C4—22no—
482C22×C4—22no—
483C22×C4—22no—
484C22×C4—22no—
485C22×C4—22no—
486C22×C4—22no—
487C22×C4—22no—
488C22×C4—22no—
489C22×C4—22no—
490C22×C4—22no—
491C22×C4—41no—
492C22×C4—41no—
493C22×C4—41no—
494C22×C4—41no—
495C22×C4—41no—
496C22×C4—41no—
497C22×C4—44no—
498C22×C4—44no—
499C22×C4—44no—
500C22×C4—44no—
501C22×C4—44no—
502C22×C4—44no—
503C22×C4—44no—
504C22×C4—44no—
505C22×C4C22⋊Q814yes—
506C22×C4C22⋊Q814yes—
507C22×C4C22×D411yescharacteristic
508C22×C4C22×D411yescharacteristic
509C22×C4C22×D411yescharacteristic
510C22×C4C22×D411yescharacteristic
511C22×C4C22×D411yescharacteristic
512C22×C4C22×D411yescharacteristic
513C22×C4C22×D411yescharacteristic
514C22×C4C22×D411yescharacteristic
515C22×C4C22×D411yescharacteristic
516C22×C4C22×D411yescharacteristic
517C22×C4C22×D411yescharacteristic
518C22×C4C22×D411yescharacteristic
519C22×C4C22×D411yescharacteristic
520C22×C4C22×Q812yes—
521C22×C4C2×#4112yes—
522C22×C4C2511yescharacteristic
523C2×C8—24no—
524C2×C8—24no—
525C2×C8—24no—
526C2×C8—24no—
527C2×C8—24no—
528C2×C8—24no—
529C4⋊C4—28no—
530C4⋊C4—28no—
531C4⋊C4—24no—
532C4⋊C4—24no—
533C4⋊C4—24no—
534C4⋊C4—22no—
535C4⋊C4—22no—
536C4⋊C4—22no—
537C4⋊C4—22no—
538C4⋊C4—22no—
539C4⋊C4—22no—
540C4⋊C4—22no—
541C4⋊C4—22no—
542C4⋊C4—22no—
543C4⋊C4—22no—
544C4⋊C4—22no—
545C4⋊C4—42no—
546C4⋊C4—42no—
547C4⋊C4—44no—
548C4⋊C4—44no—
549C4⋊C4—42no—
550C4⋊C4—42no—
551C4⋊C4—44no—
552C4⋊C4—44no—
553C4⋊C4—42no—
554C4⋊C4—44no—
555C4⋊C4—42no—
556C4⋊C4—44no—
557C4⋊C4—42no—
558C4⋊C4—42no—
559C4⋊C4C22×Q814yes—
560C4⋊C4C2×#4114yes—
561C4⋊C4C2×#4114yes—
562C22⋊C4—28no—
563C22⋊C4—28no—
564C22⋊C4—28no—
565C22⋊C4—44no—
566C22⋊C4—44no—
567C22⋊C4—44no—
568C22⋊C4—44no—
569C22⋊C4—44no—
570C22⋊C4—44no—
571C22⋊C4—44no—
572C22⋊C4—44no—
573C42—28no—
574C42—22no—
575C42—22no—
576C42—22no—
577C42—22no—
578C42—22no—
579C42—22no—
580C42—22no—
581C42—22no—
582C42—22no—
583C42—22no—
584C42—22no—
585C42—22no—
586C42—21no—
587C42—21no—
588C42—21no—
589C42—21no—
590C42—21no—
591C42—21no—
592C42—41no—
593C42—41no—
594C42—41no—
595C42—41no—
596C42—41no—
597C42—41no—
598C42—44no—
599C42—44no—
600C42—44no—
601C42—44no—
602C42—44no—
603C42—44no—
604C42—44no—
605C42—44no—
606C42C22⋊Q814yes—
607C42C22⋊Q814yes—
608C42#13514yes—
609C42AGL(1,ℤ/8)14yes—
610C42C22×Q812yes—
611C42C22×Q812yes—
612C42C2×#4112yes—
613C42C2×#4112yes—
614C42C2×#4112yes—
615C42C2×#4112yes—
616C23—21no—
617C23—21no—
618C23—21no—
619C23—21no—
620C23—21no—
621C23—21no—
622C23—24no—
623C23—42no—
624C23—42no—
625C23—42no—
626C23—42no—
627C23—42no—
628C23—42no—
629C23C2×C22⋊Q812yes—
630C23C23×D411yescharacteristic
631Q8—48no—
632Q8—48no—
633Q8—48no—
634D4—24no—
635D4—24no—
636D4—48no—
637D4—416no—
638D4—48no—
639D4—42no—
640D4—42no—
641C2×C4—21no—
642C2×C4—21no—
643C2×C4—21no—
644C2×C4—21no—
645C2×C4—21no—
646C2×C4—21no—
647C2×C4—21no—
648C2×C4—21no—
649C2×C4—21no—
650C2×C4—21no—
651C2×C4—21no—
652C2×C4—21no—
653C2×C4—28no—
654C2×C4—28no—
655C2×C4—22no—
656C2×C4—22no—
657C2×C4—22no—
658C2×C4—22no—
659C2×C4—24no—
660C2×C4—21no—
661C2×C4—21no—
662C2×C4—24no—
663C2×C4—24no—
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—44no—
675C2×C4—44no—
676C2×C4—44no—
677C2×C4—42no—
678C2×C4—42no—
679C2×C4—42no—
680C2×C4—42no—
681C2×C4—42no—
682C2×C4—42no—
683C2×C4—416no—
684C2×C4—44no—
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—88no—
698C2×C4—88no—
699C2×C4C2×C22⋊Q812yes—
700C2×C4C2×C22⋊Q812yes—
701C2×C4C2×C22⋊Q812yes—
702C2×C4C2×C22⋊Q812yes—
703C2×C4C2×C22⋊Q812yes—
704C2×C4#52512yes—
705C2×C4#52512yes—
706C2×C4C2×#13512yes—
707C2×C4C2×#13512yes—
708C2×C4C2×#13512yes—
709C2×C4C2×AGL(1,ℤ/8)12yes—
710C2×C4C2×AGL(1,ℤ/8)12yes—
711C2×C4C2×AGL(1,ℤ/8)12yes—
712C2×C4#57512yes—
713C2×C4#57512yes—
714C2×C4C23×Q811yescharacteristic
715C2×C4C22×#4111yescharacteristic
716C2×C4C22×#4111yescharacteristic
717C2×C4C22×#4111yescharacteristic
718C2×C4#58511yescharacteristic
719C2×C4#58511yescharacteristic
720C8—44no—
721C8—44no—
722C22—22no—
723C22—22no—
724C22—22no—
725C22—41no—
726C22—41no—
727C22—41no—
728C22—41no—
729C22—44no—
730C22—44no—
731C22—44no—
732C22—82no—
733C22—82no—
734C22—82no—
735C22—82no—
736C22C22×C22⋊Q811yescharacteristic
737C22C2×#52511yescharacteristic
738C22#344911yescharacteristic
739C22C22×#13511yescharacteristic
740C22C22×AGL(1,ℤ/8)11yescharacteristic
741C22C2×#57511yescharacteristic
742C22C2×#57511yescharacteristic
743C4—22no—
744C4—22no—
745C4—22no—
746C4—22no—
747C4—22no—
748C4—22no—
749C4—41no—
750C4—41no—
751C4—44no—
752C4—41no—
753C4—44no—
754C4—41no—
755C4—44no—
756C4—82no—
757C4—82no—
758C4—82no—
759C4—82no—
760C4#307614yes—
761C4#307714yes—
762C4#310614yes—
763C4Q8×#4111yescharacteristic
764C4Q8×#4111yescharacteristic
765C4#348011yescharacteristic
766C4#348011yescharacteristic
767C2—42no—
768C2—84no—
769C2#3495211yescharacteristic
770C2C2×#307611yescharacteristic
771C2C2×#307711yescharacteristic
772C2C2×#310611yescharacteristic
773C2#6055911yescharacteristic
774C2#6094811yescharacteristic
775C2#6095111yescharacteristic
subgroupG/H
centerC22×C4C22×D4
commutator, Frattini, cosocleC22×C4C25
socleC23C23×D4
prime radicalC2×#532C22
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C22×C4 ◁ C2×C43 ◁ G
LECSG ▷ C22×C4 ▷ C2 ▷ C1

Complements

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

NH ≅ G/Ntype
1. C4×#533C2semidirect
3. #29290C2semidirect
4. #29287C2semidirect
5. #29275C2semidirect
6. #29256C2semidirect
7. #29236C2semidirect
8. #28280C2semidirect
9. #28279C2semidirect
10. #27679C2semidirect
11. #24300C2semidirect
12. #23778C2semidirect
13. C4×#476C2semidirect
14. C4×#474C2semidirect
16. #21362C2semidirect
17. #20808C2semidirect
103. #532Q8semidirect
286. C4⋊Q8#41semidirect
287. C4⋊Q8#41semidirect

Maximal subgroups

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

subgroupindex
C4×#5332
C4×#5322
#292902
#292872
#292752
#292562
#292362
#282802
#282792
#276792
#243002
#237782
C4×#4762
C4×#4742
#213902
#213622
#208082