Finite Group Databasebeta

← #6611304

Subgroups — #6611304

Order 512.

1590 conjugacy classes of subgroups.

The subgroup lattice has 762 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#36189C211yesmaximal, characteristic
2#36129C211yesmaximal, characteristic
3#33290C211yesmaximal, characteristic, complemented
4#33212C211yesmaximal, characteristic, complemented
5#33210C211yesmaximal, characteristic, complemented
6#29207C211yesmaximal, characteristic, complemented
7#28796C214yesmaximal, complemented
8#28788C214yesmaximal, complemented
9#28785C214yesmaximal, complemented
10#28688C211yesmaximal, characteristic, complemented
11#27949C211yesmaximal, characteristic, complemented
12#27948C211yesmaximal, characteristic, complemented
13#25812C211yesmaximal, characteristic, complemented
14#25811C211yesmaximal, characteristic, complemented
15#22714C214yesmaximal
16C4×#498C211yesmaximal, characteristic, complemented
17#21324C211yesmaximal, characteristic, complemented
18#21322C211yesmaximal, characteristic, complemented
19C4×#436C211yesmaximal, characteristic
20C2×#533C2211yescharacteristic
21C22×C4⋊Q8C2211yescharacteristic
22C2×#500C2211yescharacteristic
23C2×#498C2211yescharacteristic
24C2×#498C2211yescharacteristic
25C2×#436C2212yes—
26C2×C4×M16C2211yescharacteristic
27C2×C4×M16C2211yescharacteristic
28#2862C2211yescharacteristic
29#2859C2211yescharacteristic
30#2857C2211yescharacteristic
31#2857C2211yescharacteristic
32#2857C2211yescharacteristic
33#2857C2211yescharacteristic
34#2570C2212yes—
35#2550C2212yes—
36#2511—21no—
37#2507—21no—
38#2497—21no—
39#2492—21no—
40#2487—21no—
41#2451—21no—
42#2446—21no—
43#2442C2212yes—
44#2442C2212yes—
45#2441C2212yes—
46#2439C2212yes—
47#2429—21no—
48#2423—21no—
49#2417—21no—
50#2417—21no—
51#2409—21no—
52#2360—21no—
53#2360—21no—
54#2352C2212yes—
55#2352C2212yes—
56#2345—21no—
57Q8×C22⋊C4—21no—
58C4×C4⋊Q8C2211yescharacteristic
59C4×C4⋊Q8C2211yescharacteristic
60#2285C2211yescharacteristic
61C2×#384C2211yescharacteristic
62C42×D4C2211yescharacteristic
63#2085C2214yes—
64#2085C2214yes—
65#2084C2214yes—
66#2059C2214yes—
67#2059C2214yes—
68#2058C2214yes—
69#1993C2214yes—
70#1992C2214yes—
71#1991C2214yes—
72#1990C2211yescharacteristic
73#1990C2211yescharacteristic
74#1990C2211yescharacteristic
75#1990C2211yescharacteristic
76#1990C2211yescharacteristic
77#1990C2211yescharacteristic
78#1990C2211yescharacteristic
79#1990C2211yescharacteristic
80#1990C2211yescharacteristic
81#1990C2211yescharacteristic
82#1949C2214yes—
83#1949C2214yes—
84#1944C2214yes—
85#1943C2214yes—
86#1941C2214yes—
87#1854C2214yes—
88#1854C2214yes—
89#1853C2214yes—
90#1853C2214yes—
91#1845C2211yescharacteristic
92#1844C2211yescharacteristic
93#1844C2211yescharacteristic
94#1835C2214yes—
95#1809C2214yes—
96#1809C2214yes—
97C4×#106C2214yes—
98#1770C2212yes—
99C4×C4⋊C8C2211yescharacteristic
100#1753C2212yes—
101#1753C2212yes—
102C4×C22⋊C8C2211yescharacteristic
103C4×C22⋊C8C2211yescharacteristic
104#1736C2214yes—
105#1736C2214yes—
106C42×C8C2211yescharacteristic
107C23×Q8—21no—
108C22×M16C2312yes—
109C22×M16C2312yes—
110#533—24no—
111#533—42no—
112C2×C4⋊Q8—24no—
113C2×C4⋊Q8—21no—
114C2×C4⋊Q8—21no—
115C2×C4⋊Q8—42no—
116C2×C4⋊Q8C2311yescharacteristic
117C2×C4⋊Q8C2311yescharacteristic
118C2×C4⋊Q8C2311yescharacteristic
119C2×C4⋊Q8C2312yes—
120C2×C4⋊Q8C2311yescharacteristic
121C2×#125C2312yes—
122C2×#125C2312yes—
123C2×C22⋊Q8—21no—
124C2×C22⋊Q8—21no—
125C2×C22⋊Q8—21no—
126C2×C22⋊Q8—21no—
127C2×C22⋊Q8—21no—
128C2×C22⋊Q8—21no—
129C2×C4×Q8—21no—
130C2×C4×Q8—21no—
131C2×C4×Q8—21no—
132C2×C4×Q8—21no—
133C2×C4×D4D411yescharacteristic
134C2×C4×D4D411yescharacteristic
135C2×C4×D4C2311yescharacteristic
136C2×#117C2312yes—
137C2×#117C2312yes—
138C22×C4⋊C4—21no—
139C22×C4⋊C4—21no—
140C22×C4⋊C4—21no—
141C22×C4⋊C4C2312yes—
142C22×C4⋊C4C2312yes—
143C22×C42C2311yescharacteristic
144C22×C42C2311yescharacteristic
145#500—42no—
146#498—24no—
147#498—42no—
148#436Q8116yescomplemented
149C2×#107C2314yes—
150C2×#107C2314yes—
151C2×#106C2314yes—
152C2×#106C2314yes—
153C2×#106C2314yes—
154C2×#106C2314yes—
155C2×C4⋊C8C2312yes—
156C2×C22⋊C8C2312yes—
157C2×C22⋊C8C2312yes—
158C4×M16—42no—
159C4×M16—42no—
160C2×#97C2312yes—
161C2×#97C2312yes—
162C2×C4×C8C2311yescharacteristic
163C2×C4×C8C2311yescharacteristic
164C2×C4×C8C2311yescharacteristic
165C2×C4×C8C2311yescharacteristic
166C2×C4×C8C2312yes—
167C2×C4×C8C2312yes—
168#400—22no—
169#400—22no—
170#400—22no—
171#399—22no—
172#398—22no—
173#398—22no—
174#398—22no—
175#398—22no—
176#396—22no—
177#396—22no—
178#395—22no—
179#393—22no—
180#391—21no—
181#391—21no—
182#391—21no—
183#391—21no—
184#391—21no—
185#391—21no—
186#391—21no—
187#391—21no—
188#391—21no—
189#391—21no—
190#391—22no—
191#391—22no—
192#389—21no—
193#389—21no—
194#389—21no—
195#389—21no—
196#389—21no—
197#389—21no—
198#389—21no—
199#389—21no—
200#389—21no—
201#389—21no—
202#389—22no—
203#389—22no—
204#389C2312yes—
205#389C2312yes—
206#389C2312yes—
207#389C2312yes—
208#389C2312yes—
209#389C2312yes—
210#388—22no—
211#388—22no—
212#387—22no—
213#387—22no—
214#387—22no—
215#387—22no—
216#387—22no—
217#387—22no—
218#386—22no—
219#386—22no—
220#385—22no—
221#385—22no—
222#384—21no—
223#384—21no—
224#384C2311yescharacteristic
225#384C2311yescharacteristic
226#384C2312yes—
227#384C2311yescharacteristic
228#384C2311yescharacteristic
229#382C2312yes—
230#382C2312yes—
231#382C2312yes—
232#382C2312yes—
233#380—21no—
234#380—21no—
235#380—21no—
236#380—21no—
237#380—21no—
238#380—21no—
239#380—22no—
240#380—22no—
241#380C2312yes—
242#380C2312yes—
243#380C2312yes—
244#380C2312yes—
245C4×C4⋊C4—21no—
246C4×C4⋊C4—21no—
247C4×C4⋊C4—21no—
248C4×C4⋊C4—21no—
249C4×C4⋊C4D411yescharacteristic
250C4×C4⋊C4D411yescharacteristic
251C4×C4⋊C4C2312yes—
252C4×C4⋊C4C2312yes—
253C4×C4⋊C4C2311yescharacteristic
254C4×C22⋊C4—22no—
255C4×C22⋊C4—22no—
256C4×C22⋊C4D411yescharacteristic
257C4×C22⋊C4D411yescharacteristic
258C4×C22⋊C4D411yescharacteristic
259C4×C22⋊C4D411yescharacteristic
260C4×C22⋊C4C2311yescharacteristic
261C4×C22⋊C4C2311yescharacteristic
262C43C2311yescharacteristic
263#340C2314yes—
264#340C2314yes—
265#340C2314yes—
266#340C2314yes—
267#340C2314yes—
268#340C2314yes—
269#340C2314yes—
270#340C2314yes—
271#340C2314yes—
272#340C2314yes—
273#336C2312yes—
274#336C2312yes—
275#336C2312yes—
276C22×Q8—21no—
277C22×Q8—21no—
278C22×Q8—21no—
279C22×Q8—21no—
280C22×Q8—22no—
281C22×Q8—44no—
282C22×Q8—44no—
283C22×Q8—82no—
284C22×D4C2×D411yescharacteristic
285C23×C4—22no—
286C23×C4—22no—
287C23×C4C2×D411yescharacteristic
288C23×C4C2×D411yescharacteristic
289C23×C4C2×D411yescharacteristic
290C23×C4C2×D411yescharacteristic
291C23×C4C2411yescharacteristic
292C23×C4C2411yescharacteristic
293C2×M16—42no—
294C2×M16—42no—
295C2×M16—42no—
296C2×M16—42no—
297C2×M16C2×Q818yes—
298C2×M16C2×Q818yescomplemented
299C22×C8C2412yes—
300C22×C8C2412yes—
301C22×C8C2412yes—
302C22×C8C2412yes—
303C4⋊Q8—24no—
304C4⋊Q8—22no—
305C4⋊Q8—22no—
306C4⋊Q8—22no—
307C4⋊Q8—22no—
308C4⋊Q8—22no—
309C4⋊Q8—22no—
310C4⋊Q8—22no—
311C4⋊Q8—42no—
312C4⋊Q8—44no—
313C4⋊Q8—44no—
314C4⋊Q8#4114yes—
315#125—24no—
316#125—42no—
317#125—44no—
318C22⋊Q8—44no—
319C22⋊Q8—44no—
320C22⋊Q8—44no—
321C22⋊Q8—44no—
322C22⋊Q8—82no—
323C22⋊Q8—82no—
324C4×Q8—44no—
325C4×Q8—44no—
326C4×Q8—82no—
327C4×Q8—82no—
328C4×D4—42no—
329C4×D4—42no—
330C4×D4C2×Q818yes—
331#117—24no—
332#117—42no—
333#117—44no—
334C2×C4⋊C4—21no—
335C2×C4⋊C4—24no—
336C2×C4⋊C4—21no—
337C2×C4⋊C4—21no—
338C2×C4⋊C4—21no—
339C2×C4⋊C4—22no—
340C2×C4⋊C4—21no—
341C2×C4⋊C4—21no—
342C2×C4⋊C4—22no—
343C2×C4⋊C4—22no—
344C2×C4⋊C4—22no—
345C2×C4⋊C4—22no—
346C2×C4⋊C4—21no—
347C2×C4⋊C4—21no—
348C2×C4⋊C4—21no—
349C2×C4⋊C4—21no—
350C2×C4⋊C4—22no—
351C2×C4⋊C4—22no—
352C2×C4⋊C4—21no—
353C2×C4⋊C4—21no—
354C2×C4⋊C4—22no—
355C2×C4⋊C4—22no—
356C2×C4⋊C4—22no—
357C2×C4⋊C4—22no—
358C2×C4⋊C4—22no—
359C2×C4⋊C4—22no—
360C2×C4⋊C4—22no—
361C2×C4⋊C4—22no—
362C2×C4⋊C4—42no—
363C2×C4⋊C4—44no—
364C2×C4⋊C4—44no—
365C2×C4⋊C4—44no—
366C2×C4⋊C4—82no—
367C2×C4⋊C4C2×D411yescharacteristic
368C2×C4⋊C4C2×D411yescharacteristic
369C2×C4⋊C4C2×D411yescharacteristic
370C2×C4⋊C4C2412yes—
371C2×C4⋊C4C2412yes—
372C2×C4⋊C4C2412yes—
373C2×C4⋊C4C2412yes—
374C2×C4⋊C4C2412yes—
375C2×C4⋊C4C2412yes—
376C2×C4⋊C4C2412yes—
377C2×C4⋊C4C2412yes—
378C2×C22⋊C4—22no—
379C2×C22⋊C4—22no—
380C2×C22⋊C4—22no—
381C2×C22⋊C4—22no—
382C2×C22⋊C4—22no—
383C2×C22⋊C4—22no—
384C2×C22⋊C4C2×D411yescharacteristic
385C2×C22⋊C4C2×D411yescharacteristic
386C2×C22⋊C4C2×D411yescharacteristic
387C2×C22⋊C4C2×D411yescharacteristic
388C2×C22⋊C4C2×D411yescharacteristic
389C2×C22⋊C4C2×D411yescharacteristic
390C2×C42—22no—
391C2×C42—22no—
392C2×C42—22no—
393C2×C42—22no—
394C2×C42—22no—
395C2×C42—22no—
396C2×C42—22no—
397C2×C42—22no—
398C2×C42C2×D411yescharacteristic
399C2×C42C2×D411yescharacteristic
400C2×C42C2×D411yescharacteristic
401C2×C42C2×D411yescharacteristic
402C2×C42C2×D411yescharacteristic
403C2×C42C2×D411yescharacteristic
404C2×C42C2×D411yescharacteristic
405C2×C42C2×D411yescharacteristic
406C2×C42C2411yescharacteristic
407C2×C42C2411yescharacteristic
408C2×C42C2411yescharacteristic
409C2×C42C2411yescharacteristic
410C2×C42C2411yescharacteristic
411#107—44no—
412#107—44no—
413#106—28no—
414#106—44no—
415#106—44no—
416#106—44no—
417C4⋊C8C2×Q818yescomplemented
418C22⋊C8C2×Q818yes—
419C22⋊C8C2×Q818yescomplemented
420#97—42no—
421#97—42no—
422C4×C8—22no—
423C4×C8—22no—
424C4×C8—22no—
425C4×C8—22no—
426C4×C8—42no—
427C4×C8C2×Q818yescomplemented
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—
442#95—22no—
443#95—22no—
444#95—22no—
445#95—22no—
446#95—22no—
447#95—22no—
448#95C2×D411yescharacteristic
449#95C2×D411yescharacteristic
450#95C2×D411yescharacteristic
451#95C2×D411yescharacteristic
452#95C2×D411yescharacteristic
453#95C2×D411yescharacteristic
454C24C22×D411yescharacteristic
455C24C22×D411yescharacteristic
456C2×Q8—24no—
457C2×Q8—44no—
458C2×Q8—44no—
459C2×Q8—42no—
460C2×Q8—42no—
461C2×Q8—42no—
462C2×Q8—42no—
463C2×Q8—42no—
464C2×Q8—42no—
465C2×Q8—42no—
466C2×Q8—42no—
467C2×Q8—42no—
468C2×Q8—42no—
469C2×Q8—42no—
470C2×Q8—82no—
471C2×Q8—816no—
472C2×D4—41no—
473C2×D4—41no—
474C2×D4C4⋊Q814yes—
475C22×C4—21no—
476C22×C4—21no—
477C22×C4—21no—
478C22×C4—21no—
479C22×C4—22no—
480C22×C4—22no—
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—22no—
492C22×C4—22no—
493C22×C4—22no—
494C22×C4—22no—
495C22×C4—22no—
496C22×C4—22no—
497C22×C4—22no—
498C22×C4—22no—
499C22×C4—22no—
500C22×C4—22no—
501C22×C4—44no—
502C22×C4—44no—
503C22×C4—44no—
504C22×C4—82no—
505C22×C4—82no—
506C22×C4—82no—
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×Q814yes—
520C22×C4C22×Q814yes—
521C22×C4C2511yescharacteristic
522M16—48no—
523M16—48no—
524C2×C8—22no—
525C2×C8—22no—
526C2×C8—22no—
527C2×C8—22no—
528C2×C8—22no—
529C2×C8—22no—
530C2×C8—22no—
531C2×C8—22no—
532C2×C8C22×Q814yes—
533C2×C8C22×Q814yes—
534C2×C8C22×Q814yes—
535C2×C8C22×Q814yes—
536C4⋊C4—24no—
537C4⋊C4—22no—
538C4⋊C4—22no—
539C4⋊C4—22no—
540C4⋊C4—22no—
541C4⋊C4—22no—
542C4⋊C4—22no—
543C4⋊C4—22no—
544C4⋊C4—24no—
545C4⋊C4—24no—
546C4⋊C4—24no—
547C4⋊C4—24no—
548C4⋊C4—41no—
549C4⋊C4—41no—
550C4⋊C4—44no—
551C4⋊C4—44no—
552C4⋊C4—44no—
553C4⋊C4—44no—
554C4⋊C4—44no—
555C4⋊C4—44no—
556C4⋊C4—44no—
557C4⋊C4—42no—
558C4⋊C4—42no—
559C4⋊C4—42no—
560C4⋊C4—42no—
561C4⋊C4—42no—
562C4⋊C4—42no—
563C4⋊C4—42no—
564C4⋊C4—42no—
565C4⋊C4—42no—
566C4⋊C4—42no—
567C4⋊C4—42no—
568C4⋊C4—82no—
569C4⋊C4—82no—
570C4⋊C4—82no—
571C4⋊C4—82no—
572C4⋊C4—82no—
573C4⋊C4—82no—
574C4⋊C4—82no—
575C4⋊C4—82no—
576C4⋊C4C4⋊Q814yes—
577C4⋊C4C2×#4114yes—
578C22⋊C4—41no—
579C22⋊C4—41no—
580C22⋊C4—41no—
581C22⋊C4—41no—
582C22⋊C4—44no—
583C22⋊C4—44no—
584C22⋊C4—44no—
585C22⋊C4—82no—
586C22⋊C4—82no—
587C22⋊C4—82no—
588C22⋊C4C4⋊Q814yes—
589C22⋊C4C4⋊Q814yes—
590C42—22no—
591C42—22no—
592C42—22no—
593C42—22no—
594C42—22no—
595C42—22no—
596C42—22no—
597C42—22no—
598C42—21no—
599C42—21no—
600C42—21no—
601C42—21no—
602C42—22no—
603C42—44no—
604C42—82no—
605C42—82no—
606C42—82no—
607C42C22×Q814yes—
608C42C2×#4112yes—
609C42H(5,𝔽2)12yes—
610C23—21no—
611C23—21no—
612C23—21no—
613C23—21no—
614C23—21no—
615C23—21no—
616C23—21no—
617C23—21no—
618C23—21no—
619C23—21no—
620C23—21no—
621C23—21no—
622C23C2×C4⋊Q812yes—
623C23C2×C4⋊Q812yes—
624C23C23×D411yescharacteristic
625Q8—48no—
626Q8—88no—
627Q8—84no—
628Q8—84no—
629Q8—84no—
630D4—44no—
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—24no—
640C2×C4—24no—
641C2×C4—24no—
642C2×C4—24no—
643C2×C4—21no—
644C2×C4—21no—
645C2×C4—21no—
646C2×C4—21no—
647C2×C4—24no—
648C2×C4—21no—
649C2×C4—21no—
650C2×C4—21no—
651C2×C4—21no—
652C2×C4—21no—
653C2×C4—21no—
654C2×C4—21no—
655C2×C4—21no—
656C2×C4—21no—
657C2×C4—21no—
658C2×C4—21no—
659C2×C4—21no—
660C2×C4—21no—
661C2×C4—21no—
662C2×C4—42no—
663C2×C4—42no—
664C2×C4—44no—
665C2×C4—44no—
666C2×C4—44no—
667C2×C4—44no—
668C2×C4—42no—
669C2×C4—42no—
670C2×C4—42no—
671C2×C4—42no—
672C2×C4—42no—
673C2×C4—42no—
674C2×C4—42no—
675C2×C4—42no—
676C2×C4—42no—
677C2×C4—42no—
678C2×C4—42no—
679C2×C4—42no—
680C2×C4—42no—
681C2×C4—42no—
682C2×C4—42no—
683C2×C4—42no—
684C2×C4—42no—
685C2×C4—42no—
686C2×C4—42no—
687C2×C4—42no—
688C2×C4—42no—
689C2×C4—88no—
690C2×C4—164no—
691C2×C4C2×C4⋊Q812yes—
692C2×C4C2×C4⋊Q812yes—
693C2×C4C2×C4⋊Q812yes—
694C2×C4C2×C4⋊Q812yes—
695C2×C4#54612yes—
696C2×C4#54612yes—
697C2×C4#57512yes—
698C2×C4#57512yes—
699C2×C4#57712yes—
700C2×C4#57712yes—
701C2×C4C23×Q812yes—
702C2×C4C22×#4111yescharacteristic
703C2×C4C2×H(5,𝔽2)11yescharacteristic
704C2×C4#58512yes—
705C8—24no—
706C8—24no—
707C8—24no—
708C8—24no—
709C22—22no—
710C22—22no—
711C22—22no—
712C22—22no—
713C22—22no—
714C22—22no—
715C22—41no—
716C22—41no—
717C22—41no—
718C22—41no—
719C22—41no—
720C22—41no—
721C22—41no—
722C22—41no—
723C22C22×C4⋊Q811yescharacteristic
724C22C2×#54611yescharacteristic
725C22#350011yescharacteristic
726C22C2×#57511yescharacteristic
727C22C2×#57511yescharacteristic
728C22C2×#57711yescharacteristic
729C22C2×#57711yescharacteristic
730C4—22no—
731C4—22no—
732C4—22no—
733C4—22no—
734C4—41no—
735C4—41no—
736C4—41no—
737C4—41no—
738C4—44no—
739C4—41no—
740C4—41no—
741C4—82no—
742C4—82no—
743C4—82no—
744C4—82no—
745C4—82no—
746C4—82no—
747C4—82no—
748C4#332314yes—
749C4#332614yes—
750C4Q8×#4112yes—
751C4#350112yes—
752C2—42no—
753C2—42no—
754C2#3627611yescharacteristic
755C2#6066311yescharacteristic
756C2#6066511yescharacteristic
757C2C2×#332311yescharacteristic
758C2C2×#332611yescharacteristic
759C2#6254311yescharacteristic
760C2#6254411yescharacteristic
subgroupG/H
center, socleC23C23×D4
commutator, Frattini, cosocleC22×C4C25
prime radicalC22×D4C2×D4
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C23 ◁ C42×D4 ◁ G
LECSG ▷ C22×C4 ▷ C2 ▷ C1

Complements

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

NH ≅ G/Ntype
3. #33290C2semidirect
4. #33212C2semidirect
5. #33210C2semidirect
6. #29207C2semidirect
7. #28796C2semidirect
8. #28788C2semidirect
9. #28785C2semidirect
10. #28688C2semidirect
11. #27949C2semidirect
12. #27948C2semidirect
13. #25812C2semidirect
14. #25811C2semidirect
16. C4×#498C2semidirect
17. #21324C2semidirect
18. #21322C2semidirect
148. #436Q8semidirect
298. C2×M16C2×Q8semidirect
417. C4⋊C8C2×Q8semidirect
419. C22⋊C8C2×Q8semidirect
427. C4×C8C2×Q8semidirect

Maximal subgroups

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

subgroupindex
#361892
#361292
#332902
#332122
#332102
#292072
#287962
#287882
#287852
#286882
#279492
#279482
#258122
#258112
#227142
C4×#4982
#213242
#213222
C4×#4362