Finite Group Databasebeta

← #6443389

Subgroups — #6443389

Order 512.

2450 conjugacy classes of subgroups.

The subgroup lattice has 753 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3077C212yesmaximal
2#34938C211yesmaximal, characteristic, complemented
3C2×D4×C4⋊C4C211yesmaximal, characteristic
4#26053C214yesmaximal, complemented
5#26052C214yesmaximal, complemented
6#26045C212yesmaximal, complemented
7#26044C212yesmaximal, complemented
8#26041C212yesmaximal, complemented
9#26040C212yesmaximal, complemented
10#23670C212yesmaximal, complemented
11#23554C212yesmaximal, complemented
12#21171C211yesmaximal, characteristic, complemented
13#21146C211yesmaximal, characteristic, complemented
14#20873C212yesmaximal
15#20800C211yesmaximal, characteristic, complemented
16#20646C211yesmaximal, characteristic
17C4×#418C211yesmaximal, characteristic
18C2×#533C2212yes—
19C22×C4×D4C2212yes—
20C22×C4×D4C2211yescharacteristic
21C23×C4⋊C4—21no—
22#3077—216no—
23C2×#478C2214yes—
24C2×#478C2214yes—
25C2×#476C2214yes—
26C2×#474C2214yes—
27C2×#428C2212yes—
28C2×#428C2212yes—
29C2×#428C2212yes—
30C2×#423C2212yes—
31C2×#423C2211yescharacteristic
32C2×#418C2212yes—
33C2×#418C2211yescharacteristic
34C2×#418C2211yescharacteristic
35C2×C4×M16C2211yescharacteristic
36#2552C2211yescharacteristic, complemented
37#2552C2211yescharacteristic, complemented
38#2551C2211yescharacteristic, complemented
39#2551C2211yescharacteristic, complemented
40#2550C2212yescomplemented
41#2550C2212yescomplemented
42#2549—22no—
43#2440—21no—
44#2440—21no—
45#2399—22no—
46D4×C4⋊C4—21no—
47D4×C4⋊C4—21no—
48D4×C4⋊C4—22no—
49D4×C4⋊C4C2212yes—
50D4×C4⋊C4C2212yes—
51D4×C4⋊C4C2214yes—
52C4×C4⋊Q8—21no—
53C4×C4⋊Q8—21no—
54#2296C2212yes—
55C2×#389C2212yes—
56C2×#385—22no—
57#2285C2211yescharacteristic
58C2×#384C2211yescharacteristic
59C2×#380—21no—
60C4×#117C2211yescharacteristic
61C2×C4×C4⋊C4C2211yescharacteristic
62#2088C2214yescomplemented
63#2088C2214yescomplemented
64#2087C2214yescomplemented
65#2086C2214yescomplemented
66#2059C2214yescomplemented
67#2059C2214yescomplemented
68#2058C2214yescomplemented
69#2057C2214yescomplemented
70#1948C2212yescomplemented
71#1948C2212yescomplemented
72#1947C2212yescomplemented
73#1947C2212yescomplemented
74#1940C2214yescomplemented
75#1939C2212yescomplemented
76#1939C2212yescomplemented
77#1864C2214yes—
78#1864C2214yes—
79#1862C2214yes—
80#1862C2214yes—
81#1847C2214yescomplemented
82#1845C2212yescomplemented
83#1844C2212yescomplemented
84#1804C2214yes—
85#1802C2212yes—
86#1802C2212yes—
87#1762C2212yes—
88#1762C2212yes—
89C4×#102C2212yes—
90C4×#102C2212yes—
91#1736C2211yescharacteristic
92#1736C2212yes—
93#1736C2211yescharacteristic
94#1736C2212yes—
95#1728C2212yes—
96C23×D4C2311yescharacteristic
97C24×C4—21no—
98C24×C4—22no—
99C22×M16C2312yes—
100C22×M16C2311yescharacteristic
101C22×M16C2311yescharacteristic
102#533—28no—
103#533—44no—
104C2×C4⋊Q8—21no—
105C2×C4⋊Q8—21no—
106C2×C4⋊Q8C2312yes—
107C2×C4⋊Q8C2312yes—
108C2×#125C2312yes—
109C2×#125C2312yes—
110C2×C22⋊Q8—22no—
111C2×C22⋊Q8—22no—
112C2×C4×Q8—22no—
113C2×C4×Q8—22no—
114C2×C4×D4—28no—
115C2×C4×D4—21no—
116C2×C4×D4—21no—
117C2×C4×D4—22no—
118C2×C4×D4—22no—
119C2×C4×D4—24no—
120C2×C4×D4—44no—
121C2×C4×D4Q818yescomplemented
122C2×C4×D4C2314yes—
123C2×C4×D4C2314yes—
124C2×C4×D4C2312yes—
125C2×C4×D4C2312yes—
126C2×#117C2312yes—
127C2×#117C2311yescharacteristic
128C2×#117C2311yescharacteristic
129C22×C4⋊C4—21no—
130C22×C4⋊C4—22no—
131C22×C4⋊C4—21no—
132C22×C4⋊C4—22no—
133C22×C4⋊C4—24no—
134C22×C4⋊C4—22no—
135C22×C4⋊C4—48no—
136C22×C4⋊C4D411yescharacteristic
137C22×C4⋊C4D411yescharacteristic
138C22×C4⋊C4C2312yes—
139C22×C4⋊C4C2311yescharacteristic
140C22×C22⋊C4—21no—
141C22×C22⋊C4—22no—
142C22×C42C2312yes—
143C22×C42C2311yescharacteristic
144#478—216no—
145#478—216no—
146#476—216no—
147#474—216no—
148#428—28no—
149#428—28no—
150#428—44no—
151C2×#107C2314yes—
152C2×#107C2314yes—
153C2×#107C2314yes—
154C2×#106C2314yes—
155C2×#106C2314yes—
156C2×#106C2314yes—
157#423—28no—
158#423—24no—
159C2×C4⋊C8C2314yes—
160C2×C4⋊C8C2312yes—
161C2×C4⋊C8C2312yes—
162C2×C4⋊C8C2314yes—
163#418—28no—
164#418D418yes—
165#418Q818yescomplemented
166C2×#102C2314yes—
167C2×#102C2314yes—
168C2×#102C2312yes—
169C2×#102C2312yes—
170C2×#102C2312yes—
171C2×#102C2312yes—
172C4×M16—24no—
173C2×#97C2312yes—
174C2×C4×C8C2312yes—
175#398—22no—
176#398—22no—
177#398—22no—
178#398—22no—
179#395—22no—
180#395—22no—
181#395—22no—
182#395—22no—
183#391—22no—
184#391—22no—
185#389—21no—
186#389—21no—
187#389—21no—
188#389—21no—
189#389—22no—
190#389—22no—
191#389—22no—
192#389—22no—
193#389C2314yes—
194#389C2314yes—
195#389C2312yes—
196#389C2312yes—
197#389C2312yes—
198#389C2312yes—
199#385—22no—
200#385—22no—
201#385—24no—
202#385—24no—
203#385—24no—
204#385—24no—
205#384—21no—
206#384—21no—
207#384—21no—
208#384—21no—
209#384C2311yescharacteristic
210#384C2311yescharacteristic
211#384C2312yes—
212#384C2312yes—
213#382C2312yes—
214#380—21no—
215#380—21no—
216#380—22no—
217#380—22no—
218#380—24no—
219C4×C4⋊C4—21no—
220C4×C4⋊C4—22no—
221C4×C4⋊C4—22no—
222C4×C4⋊C4—21no—
223C4×C4⋊C4D411yescharacteristic
224C4×C4⋊C4D411yescharacteristic
225C4×C4⋊C4D412yes—
226C4×C4⋊C4C2311yescharacteristic
227C4×C4⋊C4C2311yescharacteristic
228C4×C4⋊C4C2311yescharacteristic
229C4×C4⋊C4C2311yescharacteristic
230C4×C4⋊C4C2311yescharacteristic
231C4×C4⋊C4C2311yescharacteristic
232C4×C4⋊C4C2312yes—
233C4×C22⋊C4—21no—
234C4×C22⋊C4—21no—
235#376—21no—
236C2×#95—22no—
237C2×#95D412yes—
238C43—21no—
239#340C2312yes—
240#340C2314yes—
241#340C2314yes—
242#340C2312yes—
243#340C2312yes—
244#340C2314yes—
245#340C2312yes—
246#340C2314yes—
247#336C2314yes—
248#336C2314yes—
249C25—21no—
250C22×Q8—22no—
251C22×Q8—22no—
252C22×D4—21no—
253C22×D4—22no—
254C22×D4—22no—
255C22×D4—22no—
256C22×D4C2×D414yes—
257C22×D4C2×Q814yes—
258C22×D4C2×Q814yes—
259C22×D4C2412yes—
260C23×C4—21no—
261C23×C4—28no—
262C23×C4—22no—
263C23×C4—22no—
264C23×C4—22no—
265C23×C4—24no—
266C23×C4—24no—
267C23×C4—44no—
268C23×C4—44no—
269C23×C4—48no—
270C23×C4—48no—
271C23×C4—84no—
272C23×C4C2×D412yes—
273C23×C4C2×D411yescharacteristic
274C23×C4C2×D412yes—
275C23×C4C2×D411yescharacteristic
276C23×C4C2411yescharacteristic
277C2×M16—22no—
278C2×M16—22no—
279C2×M16—22no—
280C2×M16—22no—
281C2×M16—24no—
282C2×M16—24no—
283C2×M16—24no—
284C2×M16C2×D414yes—
285C2×M16C2×Q814yes—
286C22×C8C2414yes—
287C22×C8C2412yes—
288C22×C8C2412yes—
289C4⋊Q8—24no—
290C4⋊Q8—24no—
291C4⋊Q8—42no—
292C4⋊Q8—42no—
293C4⋊Q8—44no—
294C4⋊Q8—44no—
295#125—24no—
296#125—24no—
297#125—42no—
298#125—42no—
299C22⋊Q8—48no—
300C22⋊Q8—48no—
301C4×Q8—48no—
302C4×Q8—48no—
303C4×D4—28no—
304C4×D4—28no—
305C4×D4—28no—
306C4×D4—28no—
307C4×D4—24no—
308C4×D4—24no—
309C4×D4—44no—
310C4×D4—44no—
311C4×D4—48no—
312C4×D4—48no—
313C4×D4C2×Q818yes—
314C4×D4C2×Q818yes—
315#117—22no—
316#117—22no—
317#117—24no—
318#117—24no—
319#117C2×D414yes—
320#117C2×Q814yes—
321C2×C4⋊C4—21no—
322C2×C4⋊C4—22no—
323C2×C4⋊C4—24no—
324C2×C4⋊C4—24no—
325C2×C4⋊C4—24no—
326C2×C4⋊C4—22no—
327C2×C4⋊C4—22no—
328C2×C4⋊C4—24no—
329C2×C4⋊C4—24no—
330C2×C4⋊C4—22no—
331C2×C4⋊C4—22no—
332C2×C4⋊C4—22no—
333C2×C4⋊C4—22no—
334C2×C4⋊C4—22no—
335C2×C4⋊C4—22no—
336C2×C4⋊C4—22no—
337C2×C4⋊C4—21no—
338C2×C4⋊C4—21no—
339C2×C4⋊C4—22no—
340C2×C4⋊C4—22no—
341C2×C4⋊C4—22no—
342C2×C4⋊C4—22no—
343C2×C4⋊C4—21no—
344C2×C4⋊C4—21no—
345C2×C4⋊C4—22no—
346C2×C4⋊C4—22no—
347C2×C4⋊C4—42no—
348C2×C4⋊C4—416no—
349C2×C4⋊C4—48no—
350C2×C4⋊C4—44no—
351C2×C4⋊C4—48no—
352C2×C4⋊C4—48no—
353C2×C4⋊C4—82no—
354C2×C4⋊C4C2×D411yescharacteristic
355C2×C4⋊C4C2×D412yes—
356C2×C4⋊C4C2×D411yescharacteristic
357C2×C4⋊C4C2×D411yescharacteristic
358C2×C4⋊C4C2×D412yes—
359C2×C4⋊C4C2×D411yescharacteristic
360C2×C4⋊C4C2×Q814yes—
361C2×C4⋊C4C2414yes—
362C2×C4⋊C4C2412yes—
363C2×C4⋊C4C2412yes—
364C2×C4⋊C4C2411yescharacteristic
365C2×C4⋊C4C2411yescharacteristic
366C2×C4⋊C4C2412yes—
367C2×C4⋊C4C2411yescharacteristic
368C2×C4⋊C4C2411yescharacteristic
369C2×C22⋊C4—21no—
370C2×C22⋊C4—21no—
371C2×C22⋊C4—28no—
372C2×C22⋊C4—22no—
373C2×C22⋊C4—22no—
374C2×C22⋊C4—22no—
375C2×C22⋊C4—24no—
376C2×C22⋊C4—24no—
377C2×C22⋊C4—48no—
378C2×C42—21no—
379C2×C42—21no—
380C2×C42—24no—
381C2×C42—24no—
382C2×C42—22no—
383C2×C42—21no—
384C2×C42—21no—
385C2×C42—21no—
386C2×C42—21no—
387C2×C42C2×D412yes—
388C2×C42C2×D412yes—
389C2×C42C2×D411yescharacteristic
390C2×C42C2×D411yescharacteristic
391C2×C42C2×Q814yes—
392C2×C42#4114yes—
393C2×C42C2412yes—
394C2×C42C2412yes—
395C2×C42C2411yescharacteristic
396C2×C42C2411yescharacteristic
397#107—28no—
398#107—28no—
399#107—44no—
400#106—28no—
401#106—28no—
402#106—44no—
403C4⋊C8—28no—
404C4⋊C8—28no—
405C4⋊C8—24no—
406C4⋊C8—24no—
407#102—28no—
408#102—28no—
409#102C2×D418yes—
410#102C2×D418yes—
411#102C2×Q818yes—
412#102C2×Q818yes—
413#97—24no—
414C4×C8—24no—
415#95—24no—
416#95—24no—
417#95—21no—
418#95—21no—
419#95—21no—
420#95—21no—
421#95—22no—
422#95—22no—
423#95—22no—
424#95—22no—
425#95—22no—
426#95—22no—
427#95C2×D412yes—
428#95C2×D412yes—
429#95C2×D412yes—
430#95C2×D412yes—
431C24—24no—
432C24—24no—
433C24—24no—
434C24—22no—
435C24—42no—
436C24—42no—
437C24—42no—
438C24—42no—
439C24C22×D411yescharacteristic
440C2×Q8—44no—
441C2×Q8—44no—
442C2×Q8—44no—
443C2×Q8—44no—
444C2×Q8—82no—
445C2×Q8—82no—
446C2×D4—24no—
447C2×D4—28no—
448C2×D4—24no—
449C2×D4—28no—
450C2×D4—24no—
451C2×D4—28no—
452C2×D4—22no—
453C2×D4—22no—
454C2×D4—22no—
455C2×D4C4⋊Q8116yescomplemented
456C2×D4C22×D414yes—
457C2×D4C22×Q814yes—
458C2×D4C22×Q814yes—
459C22×C4—22no—
460C22×C4—22no—
461C22×C4—24no—
462C22×C4—24no—
463C22×C4—21no—
464C22×C4—21no—
465C22×C4—22no—
466C22×C4—21no—
467C22×C4—21no—
468C22×C4—24no—
469C22×C4—28no—
470C22×C4—28no—
471C22×C4—24no—
472C22×C4—22no—
473C22×C4—22no—
474C22×C4—24no—
475C22×C4—41no—
476C22×C4—42no—
477C22×C4—41no—
478C22×C4—42no—
479C22×C4—42no—
480C22×C4—44no—
481C22×C4—44no—
482C22×C4—432no—
483C22×C4—48no—
484C22×C4—48no—
485C22×C4—48no—
486C22×C4—42no—
487C22×C4—42no—
488C22×C4—44no—
489C22×C4—44no—
490C22×C4—44no—
491C22×C4—44no—
492C22×C4—44no—
493C22×C4—48no—
494C22×C4—84no—
495C22×C4—84no—
496C22×C4—832no—
497C22×C4C22⋊Q814yes—
498C22×C4C22⋊Q814yes—
499C22×C4C22×D412yes—
500C22×C4C22×D412yes—
501C22×C4C22×D412yes—
502C22×C4C22×D411yescharacteristic
503C22×C4C22×D411yescharacteristic
504C22×C4C22×D411yescharacteristic
505C22×C4C22×D412yes—
506C22×C4C22×D411yescharacteristic
507C22×C4C22×D411yescharacteristic
508C22×C4C22×D412yes—
509C22×C4C22×Q812yes—
510C22×C4C22×Q812yes—
511C22×C4C2×#4112yes—
512C22×C4H(5,𝔽2)12yes—
513C22×C42−1+412yes—
514C22×C4C2511yescharacteristic
515M16—28no—
516M16—28no—
517M16—48no—
518C2×C8—22no—
519C2×C8—22no—
520C2×C8—22no—
521C2×C8—22no—
522C2×C8—24no—
523C2×C8—24no—
524C2×C8—24no—
525C2×C8C22×D414yes—
526C2×C8C22×Q814yes—
527C4⋊C4—24no—
528C4⋊C4—24no—
529C4⋊C4—22no—
530C4⋊C4—22no—
531C4⋊C4—22no—
532C4⋊C4—22no—
533C4⋊C4—21no—
534C4⋊C4—21no—
535C4⋊C4—21no—
536C4⋊C4—21no—
537C4⋊C4—22no—
538C4⋊C4—22no—
539C4⋊C4—24no—
540C4⋊C4—22no—
541C4⋊C4—24no—
542C4⋊C4—22no—
543C4⋊C4—42no—
544C4⋊C4—44no—
545C4⋊C4—44no—
546C4⋊C4—44no—
547C4⋊C4—44no—
548C4⋊C4—44no—
549C4⋊C4—44no—
550C4⋊C4—44no—
551C4⋊C4—48no—
552C4⋊C4—44no—
553C4⋊C4—44no—
554C4⋊C4—48no—
555C4⋊C4—44no—
556C4⋊C4—44no—
557C4⋊C4—42no—
558C4⋊C4—42no—
559C4⋊C4—81no—
560C4⋊C4—81no—
561C4⋊C4—82no—
562C4⋊C4—82no—
563C4⋊C4—82no—
564C4⋊C4—82no—
565C4⋊C4AGL(1,ℤ/8)14yes—
566C4⋊C4C22×D412yes—
567C4⋊C4C22×D412yes—
568C4⋊C4C22×Q812yes—
569C4⋊C4C22×Q812yes—
570C4⋊C4C22×Q814yes—
571C22⋊C4—24no—
572C22⋊C4—24no—
573C22⋊C4—28no—
574C22⋊C4—28no—
575C22⋊C4—48no—
576C22⋊C4—48no—
577C22⋊C4—44no—
578C42—24no—
579C42—24no—
580C42—24no—
581C42—24no—
582C42—22no—
583C42—22no—
584C42—22no—
585C42—22no—
586C42—44no—
587C42—42no—
588C42—42no—
589C42—81no—
590C42—81no—
591C42C22⋊Q814yes—
592C42C22⋊Q814yes—
593C42C22×Q812yes—
594C42C22×Q812yes—
595C42C2×#4112yes—
596C42C2×#4112yes—
597C23—21no—
598C23—21no—
599C23—21no—
600C23—21no—
601C23—24no—
602C23—24no—
603C23—216no—
604C23—24no—
605C23—48no—
606C23—48no—
607C23—48no—
608C23—48no—
609C23—48no—
610C23—48no—
611C23—42no—
612C23—42no—
613C23—42no—
614C23—42no—
615C23C2×C22⋊Q812yes—
616C23D4212yes—
617C23D4×Q812yes—
618C23C23×D411yescharacteristic
619Q8—88no—
620Q8—88no—
621D4—24no—
622D4—216no—
623D4—24no—
624D4—24no—
625D4C2×C4⋊Q818yes—
626C2×C4—21no—
627C2×C4—21no—
628C2×C4—22no—
629C2×C4—21no—
630C2×C4—21no—
631C2×C4—22no—
632C2×C4—21no—
633C2×C4—21no—
634C2×C4—28no—
635C2×C4—22no—
636C2×C4—22no—
637C2×C4—22no—
638C2×C4—24no—
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—22no—
649C2×C4—44no—
650C2×C4—48no—
651C2×C4—416no—
652C2×C4—48no—
653C2×C4—41no—
654C2×C4—41no—
655C2×C4—41no—
656C2×C4—41no—
657C2×C4—41no—
658C2×C4—41no—
659C2×C4—42no—
660C2×C4—41no—
661C2×C4—41no—
662C2×C4—42no—
663C2×C4—416no—
664C2×C4—44no—
665C2×C4—42no—
666C2×C4—42no—
667C2×C4—42no—
668C2×C4—42no—
669C2×C4—44no—
670C2×C4—44no—
671C2×C4—42no—
672C2×C4—42no—
673C2×C4—816no—
674C2×C4—84no—
675C2×C4—816no—
676C2×C4—88no—
677C2×C4C2×C22⋊Q812yes—
678C2×C4C2×C22⋊Q812yes—
679C2×C4C2×C22⋊Q812yes—
680C2×C4C2×C22⋊Q812yes—
681C2×C4C2×C22⋊Q812yes—
682C2×C4C2×C4⋊Q814yes—
683C2×C4#54414yes—
684C2×C4D4212yes—
685C2×C4#54714yes—
686C2×C4D4×Q812yes—
687C2×C4#55414yes—
688C2×C4C2×AGL(1,ℤ/8)14yes—
689C2×C4C2×AGL(1,ℤ/8)12yes—
690C2×C4#57512yes—
691C2×C4C23×D411yescharacteristic
692C2×C4C23×Q811yescharacteristic
693C2×C4C23×Q811yescharacteristic
694C2×C4C22×#4111yescharacteristic
695C2×C4C2×H(5,𝔽2)11yescharacteristic
696C2×C4C2×2−1+411yescharacteristic
697C8—24no—
698C8—24no—
699C8—44no—
700C22—22no—
701C22—22no—
702C22—22no—
703C22—22no—
704C22—22no—
705C22—22no—
706C22—28no—
707C22—432no—
708C22—44no—
709C22—44no—
710C22—44no—
711C22—44no—
712C22—44no—
713C22—44no—
714C22#244014yes—
715C22C22×C22⋊Q811yescharacteristic
716C22C2×D4211yescharacteristic
717C22C2×D4×Q811yescharacteristic
718C22C22×AGL(1,ℤ/8)11yescharacteristic
719C22C2×#57511yescharacteristic
720C22#358511yescharacteristic
721C22#358611yescharacteristic
722C4—22no—
723C4—22no—
724C4—22no—
725C4—24no—
726C4—44no—
727C4—42no—
728C4—42no—
729C4—42no—
730C4—42no—
731C4—42no—
732C4—42no—
733C4—42no—
734C4—84no—
735C4—82no—
736C4—82no—
737C4#244014yes—
738C4#307714yescomplemented
739C4C22×C4⋊Q811yescharacteristic
740C4C2×#54411yescharacteristic
741C4C2×#54711yescharacteristic
742C4C2×#55411yescharacteristic
743C2—24no—
744C2—48no—
745C2C2×#244011yescharacteristic
746C2C2×#307711yescharacteristic
747C2#6049211yescharacteristic
748C2D4×AGL(1,ℤ/8)11yescharacteristic
749C2#6106711yescharacteristic
750C2Q8×AGL(1,ℤ/8)11yescharacteristic
751C2#6136711yescharacteristic
subgroupG/H
center, socleC23C23×D4
commutator, Frattini, cosocleC22×C4C25
prime radicalC23×D4C23
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C23 ◁ C2×C4×C4⋊C4 ◁ G
LECSG ▷ C22×C4 ▷ C2 ▷ C1

Complements

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

NH ≅ G/Ntype
2. #34938C2semidirect
4. #26053C2semidirect
5. #26052C2semidirect
6. #26045C2semidirect
7. #26044C2semidirect
8. #26041C2semidirect
9. #26040C2semidirect
10. #23670C2semidirect
11. #23554C2semidirect
12. #21171C2semidirect
13. #21146C2semidirect
15. #20800C2semidirect
36. #2552C22semidirect
37. #2552C22semidirect
38. #2551C22semidirect
39. #2551C22semidirect
40. #2550C22semidirect
41. #2550C22semidirect
62. #2088C22semidirect
63. #2088C22semidirect
64. #2087C22semidirect
65. #2086C22semidirect
66. #2059C22semidirect
67. #2059C22semidirect
68. #2058C22semidirect
69. #2057C22semidirect
70. #1948C22semidirect
71. #1948C22semidirect
72. #1947C22semidirect
73. #1947C22semidirect
74. #1940C22semidirect
75. #1939C22semidirect
76. #1939C22semidirect
81. #1847C22semidirect
82. #1845C22semidirect
83. #1844C22semidirect
121. C2×C4×D4Q8semidirect
165. #418Q8semidirect
455. C2×D4C4⋊Q8semidirect
738. C4#3077semidirect

Maximal subgroups

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

subgroupindex
C2×#30772
#349382
C2×D4×C4⋊C42
#260532
#260522
#260452
#260442
#260412
#260402
#236702
#235542
#211712
#211462
#208732
#208002
#206462
C4×#4182