Finite Group Databasebeta

← #6795176

Subgroups — #6795176

Order 512.

2050 conjugacy classes of subgroups.

The subgroup lattice has 761 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#36153C211yesmaximal, characteristic
2C2×#2547C211yesmaximal, characteristic, complemented
3#33146C211yesmaximal, characteristic, complemented
4#32258C214yesmaximal, complemented
5#31318C214yesmaximal, complemented
6#29890C212yesmaximal, complemented
7#28704C212yesmaximal, complemented
8#27600C212yesmaximal, complemented
9#26296C212yesmaximal, complemented
10#25813C211yesmaximal, characteristic, complemented
11#25703C212yesmaximal, complemented
12#25338C212yesmaximal, complemented
13#24550C212yesmaximal, complemented
14#24298C211yesmaximal, characteristic, complemented
15D4×C22⋊C8C211yesmaximal, characteristic, complemented
16#21940C212yesmaximal, complemented
17C4×#480C211yesmaximal, characteristic, complemented
18C2×#547C2211yescharacteristic
19C2×#546—21no—
20C22×C4⋊Q8C2211yescharacteristic
21C22×#124—21no—
22C22×C4×D4C2211yescharacteristic
23C2×#500C2212yescomplemented
24C2×#480C2211yescharacteristic
25C2×#474C2212yescomplemented
26C2×C8×D4C2212yes—
27C22×C22⋊C8C2212yes—
28#2857C2211yescharacteristic
29#2847C2212yes—
30#2547—21no—
31#2547—22no—
32#2547—21no—
33#2547C2214yes—
34#2547C2211yescharacteristic
35#2547C2212yes—
36#2547C2212yes—
37#2537C2211yescharacteristic
38#2486C2212yes—
39#2427—21no—
40#2425—22no—
41#2417—21no—
42#2416C2212yes—
43#2412—22no—
44C2×#397—22no—
45D4×C4⋊C4C2211yescharacteristic
46#2339—21no—
47C4×#121C2211yescharacteristic
48C2×#391—21no—
49C2×#380C2212yes—
50C2×#380C2212yes—
51C2×#380C2212yes—
52C2×C4×C4⋊C4C2211yescharacteristic
53#2075C2214yescomplemented
54#2075C2214yescomplemented
55#2075C2214yescomplemented
56#2075C2214yescomplemented
57#2075C2214yescomplemented
58#2057C2212yescomplemented
59#2057C2214yescomplemented
60#2033C2214yescomplemented
61#2033C2214yescomplemented
62#2033C2214yescomplemented
63#2023C2212yescomplemented
64#1990C2212yescomplemented
65#1988C2212yescomplemented
66#1988C2212yescomplemented
67#1954C2212yes—
68#1947C2212yescomplemented
69#1925C2212yescomplemented
70#1918C2212yescomplemented
71#1918C2214yescomplemented
72#1893C2214yescomplemented
73#1874C2211yescharacteristic
74#1874C2212yes—
75#1869C2214yes—
76#1852C2211yescharacteristic
77#1852C2212yes—
78#1852C2212yes—
79#1852C2212yes—
80#1852C2212yes—
81#1852C2214yescomplemented
82#1852C2214yescomplemented
83#1852C2214yescomplemented
84#1823C2211yescharacteristic
85#1823C2212yes—
86#1823C2214yescomplemented
87#1808C2214yescomplemented
88#1808C2214yescomplemented
89#1808C2214yescomplemented
90#1797C2211yescharacteristic
91#1779C2212yes—
92C4×#107C2212yescomplemented
93C4×#102C2212yescomplemented
94C4×C22⋊C8C2211yescharacteristic
95C22×#41—21no—
96C23×Q8—21no—
97C23×D4D411yescharacteristic
98C24×C4C2312yes—
99C23×C8C2314yes—
100#547—44no—
101#546—48no—
102C2×C4⋊Q8—21no—
103C2×C4⋊Q8—21no—
104C2×C4⋊Q8—44no—
105C2×C4⋊Q8C2311yescharacteristic
106C2×C4⋊Q8C2312yes—
107C2×C4⋊Q8C2312yes—
108C2×#124—22no—
109C2×#124—22no—
110C2×#124—24no—
111C2×#124—21no—
112C2×#124—48no—
113C2×#123—22no—
114C2×#123—22no—
115C2×C22⋊Q8—21no—
116C2×C22⋊Q8—21no—
117C2×#121—22no—
118C2×#121—21no—
119C2×#121C2311yescharacteristic
120C2×#121C2312yes—
121C2×#121C2312yes—
122C2×#120—22no—
123C2×C4×D4—21no—
124C2×C4×D4—21no—
125C2×C4×D4—44no—
126C2×C4×D4D411yescharacteristic
127C2×C4×D4D412yes—
128C2×C4×D4D411yescharacteristic
129C2×C4×D4C2311yescharacteristic
130C2×C4×D4C2311yescharacteristic
131C2×C4×D4C2311yescharacteristic
132C2×C4×D4C2312yes—
133C22×C4⋊C4—21no—
134C22×C4⋊C4D411yescharacteristic
135C22×C4⋊C4C2311yescharacteristic
136C22×C4⋊C4C2312yes—
137C22×C4⋊C4C2312yes—
138C22×C4⋊C4C2311yescharacteristic
139C22×C4⋊C4C2312yes—
140C22×C22⋊C4—22no—
141C22×C22⋊C4—22no—
142C22×C22⋊C4—22no—
143C22×C22⋊C4D412yes—
144C22×C42—21no—
145C22×C42C2311yescharacteristic
146#500—44no—
147#480—24no—
148#474—44no—
149C8×D4—44no—
150C2×#107C2312yes—
151C2×#107C2314yes—
152C2×#107C2314yes—
153C2×#107C2314yes—
154C2×#107C2312yes—
155C2×#107C2314yes—
156C2×C4⋊C8C2312yes—
157C2×#102C2312yes—
158C2×#102C2314yes—
159C2×#102C2312yes—
160C2×C22⋊C8—28no—
161C2×C22⋊C8C2312yes—
162C2×C22⋊C8C2314yes—
163C2×C22⋊C8C2311yescharacteristic
164C2×C22⋊C8C2314yes—
165C2×C22⋊C8C2314yes—
166C2×C22⋊C8C2311yescharacteristic
167C2×C4×C8C2312yes—
168#398—22no—
169#397—24no—
170#397—24no—
171#397—24no—
172#397—24no—
173#397—22no—
174#397—22no—
175#396—22no—
176#394—22no—
177#394—22no—
178#391—21no—
179#391—22no—
180#391—22no—
181#391—24no—
182#391—21no—
183#390C2311yescharacteristic
184#389—21no—
185#389—21no—
186#389C2312yes—
187#389C2311yescharacteristic
188#388—21no—
189#386—22no—
190#386—22no—
191#386—22no—
192#386—21no—
193#386—22no—
194#385—22no—
195#384C2311yescharacteristic
196#381—22no—
197#380—21no—
198#380—22no—
199#380—22no—
200#380—22no—
201#380—22no—
202#380—22no—
203#380—22no—
204#380—21no—
205#380C2312yes—
206#380C2312yes—
207#380C2312yes—
208#380C2314yes—
209#380C2314yes—
210#380C2312yes—
211#380C2314yes—
212#380C2314yes—
213#380C2312yes—
214#380C2311yescharacteristic
215C4×C4⋊C4—21no—
216C4×C4⋊C4—21no—
217C4×C4⋊C4C2311yescharacteristic
218C4×C4⋊C4C2312yes—
219C4×C4⋊C4C2312yes—
220C4×C22⋊C4—21no—
221C2×#95—22no—
222C2×#95—21no—
223C2×#95—22no—
224C2×#95—22no—
225#340C2314yes—
226#340C2314yes—
227#340C2314yes—
228#340C2312yes—
229#340C2314yes—
230#340C2314yes—
231#340C2314yes—
232#340C2312yes—
233#340C2312yes—
234#340C2314yes—
235#340C2312yes—
236#336C2312yes—
237#336C2312yes—
238C25C2×D412yes—
239C2×#41—44no—
240C2×#41—44no—
241C2×#41—44no—
242C22×Q8—21no—
243C22×Q8—22no—
244C22×Q8—22no—
245C22×Q8—44no—
246C22×Q8—44no—
247C22×Q8—44no—
248C22×D4—21no—
249C22×D4—22no—
250C22×D4—22no—
251C22×D4—42no—
252C22×D4—42no—
253C22×D4D818yes—
254C22×D4C2×D411yescharacteristic
255C22×D4C2×D411yescharacteristic
256C22×D4C2×D412yes—
257C22×D4C2411yescharacteristic
258C23×C4—24no—
259C23×C4—24no—
260C23×C4—22no—
261C23×C4—21no—
262C23×C4—21no—
263C23×C4—22no—
264C23×C4—22no—
265C23×C4—21no—
266C23×C4—44no—
267C23×C4—44no—
268C23×C4C2×D411yescharacteristic
269C23×C4C2×D411yescharacteristic
270C23×C4C2×D412yes—
271C23×C4C2×D412yes—
272C23×C4C2×D412yes—
273C23×C4C2412yes—
274C23×C4C2412yes—
275C23×C4C2411yescharacteristic
276C22×C8—28no—
277C22×C8—44no—
278C22×C8—44no—
279C22×C8C2414yes—
280C22×C8C2412yes—
281C22×C8C2412yes—
282C4⋊Q8—24no—
283C4⋊Q8—24no—
284C4⋊Q8—24no—
285C4⋊Q8—44no—
286C4⋊Q8—44no—
287C4⋊Q8—44no—
288#124—48no—
289#124—48no—
290#124—416no—
291#124—44no—
292#123—48no—
293#123—48no—
294C22⋊Q8—44no—
295C22⋊Q8—44no—
296#121—22no—
297#121—22no—
298#121—44no—
299#121—44no—
300#121—48no—
301#121—44no—
302#120—48no—
303C4×D4—24no—
304C4×D4—24no—
305C4×D4—24no—
306C4×D4—44no—
307C4×D4—42no—
308C4×D4—42no—
309C4×D4—44no—
310C4×D4—44no—
311C4×D4—44no—
312C2×C4⋊C4—22no—
313C2×C4⋊C4—22no—
314C2×C4⋊C4—22no—
315C2×C4⋊C4—22no—
316C2×C4⋊C4—22no—
317C2×C4⋊C4—22no—
318C2×C4⋊C4—21no—
319C2×C4⋊C4—21no—
320C2×C4⋊C4—21no—
321C2×C4⋊C4—21no—
322C2×C4⋊C4—22no—
323C2×C4⋊C4—21no—
324C2×C4⋊C4—22no—
325C2×C4⋊C4—21no—
326C2×C4⋊C4—42no—
327C2×C4⋊C4—42no—
328C2×C4⋊C4—44no—
329C2×C4⋊C4—44no—
330C2×C4⋊C4—44no—
331C2×C4⋊C4—44no—
332C2×C4⋊C4C2×D411yescharacteristic
333C2×C4⋊C4C2×D411yescharacteristic
334C2×C4⋊C4C2×D412yes—
335C2×C4⋊C4C2411yescharacteristic
336C2×C4⋊C4C2411yescharacteristic
337C2×C4⋊C4C2412yes—
338C2×C4⋊C4C2412yes—
339C2×C4⋊C4C2414yes—
340C2×C4⋊C4C2412yes—
341C2×C4⋊C4C2412yes—
342C2×C4⋊C4C2411yescharacteristic
343C2×C22⋊C4—21no—
344C2×C22⋊C4—22no—
345C2×C22⋊C4—22no—
346C2×C22⋊C4—22no—
347C2×C22⋊C4—24no—
348C2×C22⋊C4—24no—
349C2×C22⋊C4—24no—
350C2×C22⋊C4—24no—
351C2×C22⋊C4—22no—
352C2×C22⋊C4—22no—
353C2×C22⋊C4—21no—
354C2×C22⋊C4—21no—
355C2×C22⋊C4—22no—
356C2×C22⋊C4—21no—
357C2×C22⋊C4—22no—
358C2×C22⋊C4—21no—
359C2×C22⋊C4—44no—
360C2×C22⋊C4—48no—
361C2×C22⋊C4—48no—
362C2×C22⋊C4—48no—
363C2×C22⋊C4C2×D412yes—
364C2×C22⋊C4C2×D412yes—
365C2×C22⋊C4C2×D412yes—
366C2×C22⋊C4C2×D412yes—
367C2×C42—24no—
368C2×C42—21no—
369C2×C42—22no—
370C2×C42—22no—
371C2×C42—44no—
372C2×C42C2×D411yescharacteristic
373C2×C42C2×D411yescharacteristic
374C2×C42C2411yescharacteristic
375C2×C42C2411yescharacteristic
376#107—24no—
377#107—42no—
378#107—44no—
379#107—44no—
380#107—44no—
381#107—44no—
382C4⋊C8—24no—
383#102—24no—
384#102—42no—
385#102—44no—
386C22⋊C8—24no—
387C22⋊C8—22no—
388C22⋊C8—28no—
389C22⋊C8—44no—
390C22⋊C8—44no—
391C22⋊C8#4114yescomplemented
392C4×C8—24no—
393#95—21no—
394#95—22no—
395#95—22no—
396#95—22no—
397#95—22no—
398#95—22no—
399#95—24no—
400#95—24no—
401#95—24no—
402#95—24no—
403#95—21no—
404#95—21no—
405#95—22no—
406#95—22no—
407#95—22no—
408C24—24no—
409C24—24no—
410C24—21no—
411C24—42no—
412C24—42no—
413C24—42no—
414C24—42no—
415C24C2×D818yes—
416C24C22×D412yes—
417C24C22×D412yes—
418C24C22×D411yescharacteristic
419#41—816no—
420C2×Q8—44no—
421C2×Q8—44no—
422C2×Q8—42no—
423C2×Q8—44no—
424C2×Q8—42no—
425C2×Q8—44no—
426C2×Q8—44no—
427C2×Q8—44no—
428C2×Q8—42no—
429C2×Q8—816no—
430C2×D4—22no—
431C2×D4—22no—
432C2×D4—22no—
433C2×D4—22no—
434C2×D4—21no—
435C2×D4—22no—
436C2×D4—21no—
437C2×D4—22no—
438C2×D4—416no—
439C2×D4—42no—
440C2×D4—42no—
441C2×D4—44no—
442C2×D4—44no—
443C2×D4—42no—
444C2×D4—42no—
445C2×D4—44no—
446C2×D4—42no—
447C2×D4—44no—
448C2×D4—82no—
449C2×D4—82no—
450C2×D4C2×D814yes—
451C2×D4C2×D814yes—
452C2×D4C2×D818yes—
453C22×C4—22no—
454C22×C4—22no—
455C22×C4—22no—
456C22×C4—22no—
457C22×C4—22no—
458C22×C4—24no—
459C22×C4—22no—
460C22×C4—22no—
461C22×C4—22no—
462C22×C4—24no—
463C22×C4—24no—
464C22×C4—22no—
465C22×C4—22no—
466C22×C4—24no—
467C22×C4—24no—
468C22×C4—24no—
469C22×C4—24no—
470C22×C4—22no—
471C22×C4—22no—
472C22×C4—21no—
473C22×C4—21no—
474C22×C4—22no—
475C22×C4—21no—
476C22×C4—22no—
477C22×C4—24no—
478C22×C4—41no—
479C22×C4—42no—
480C22×C4—42no—
481C22×C4—42no—
482C22×C4—42no—
483C22×C4—42no—
484C22×C4—42no—
485C22×C4—44no—
486C22×C4—44no—
487C22×C4—42no—
488C22×C4—42no—
489C22×C4—44no—
490C22×C4—44no—
491C22×C4—42no—
492C22×C4—42no—
493C22×C4—42no—
494C22×C4—44no—
495C22×C4—44no—
496C22×C4—42no—
497C22×C4—44no—
498C22×C4—42no—
499C22×C4—42no—
500C22×C4—42no—
501C22×C4—88no—
502C22×C4—88no—
503C22×C4—82no—
504C22×C4—82no—
505C22×C4C2×D814yes—
506C22×C4C22×D412yes—
507C22×C4C22×D411yescharacteristic
508C22×C4C22×D412yes—
509C22×C4C22×D411yescharacteristic
510C22×C4C22×D411yescharacteristic
511C22×C4C22×D411yescharacteristic
512C22×C4C22×D411yescharacteristic
513C22×C4C2×#4112yes—
514C22×C42−1+412yes—
515C22×C4C2511yescharacteristic
516C2×C8—22no—
517C2×C8—22no—
518C2×C8—24no—
519C2×C8—22no—
520C2×C8—24no—
521C2×C8—22no—
522C2×C8—22no—
523C2×C8—24no—
524C2×C8—88no—
525C2×C8C2×#4114yes—
526C4⋊C4—22no—
527C4⋊C4—22no—
528C4⋊C4—22no—
529C4⋊C4—21no—
530C4⋊C4—24no—
531C4⋊C4—22no—
532C4⋊C4—24no—
533C4⋊C4—24no—
534C4⋊C4—22no—
535C4⋊C4—21no—
536C4⋊C4—22no—
537C4⋊C4—22no—
538C4⋊C4—22no—
539C4⋊C4—24no—
540C4⋊C4—42no—
541C4⋊C4—42no—
542C4⋊C4—44no—
543C4⋊C4—44no—
544C4⋊C4—44no—
545C4⋊C4—44no—
546C4⋊C4—42no—
547C4⋊C4—42no—
548C4⋊C4—42no—
549C4⋊C4—42no—
550C4⋊C4—44no—
551C4⋊C4—81no—
552C4⋊C4—82no—
553C22⋊C4—24no—
554C22⋊C4—24no—
555C22⋊C4—42no—
556C22⋊C4—42no—
557C22⋊C4—44no—
558C22⋊C4—42no—
559C22⋊C4—44no—
560C22⋊C4—44no—
561C22⋊C4—44no—
562C22⋊C4—48no—
563C22⋊C4—48no—
564C22⋊C4—48no—
565C22⋊C4—48no—
566C22⋊C4—44no—
567C22⋊C4—44no—
568C22⋊C4—42no—
569C22⋊C4—42no—
570C22⋊C4—42no—
571C22⋊C4—81no—
572C22⋊C4—82no—
573C42—22no—
574C42—22no—
575C42—22no—
576C42—44no—
577C42—44no—
578C42—42no—
579C42H(5,𝔽2)14yes—
580C23—21no—
581C23—21no—
582C23—21no—
583C23—21no—
584C23—22no—
585C23—22no—
586C23—22no—
587C23—22no—
588C23—22no—
589C23—22no—
590C23—22no—
591C23—22no—
592C23—22no—
593C23—22no—
594C23—22no—
595C23—22no—
596C23—216no—
597C23—48no—
598C23—48no—
599C23—41no—
600C23—41no—
601C23—41no—
602C23—41no—
603C23—41no—
604C23—41no—
605C23—41no—
606C23—84no—
607C23—84no—
608C23—84no—
609C23—84no—
610C23#54712yes—
611C23C22×D814yes—
612C23C22×D814yes—
613C23C22×D812yes—
614C23#57812yes—
615C23C23×D411yescharacteristic
616Q8—88no—
617Q8—88no—
618Q8—84no—
619D4—28no—
620D4—28no—
621D4—48no—
622D4—42no—
623D4—42no—
624D4—88no—
625D4—84no—
626D4—164no—
627C2×C4—21no—
628C2×C4—21no—
629C2×C4—21no—
630C2×C4—21no—
631C2×C4—21no—
632C2×C4—21no—
633C2×C4—28no—
634C2×C4—24no—
635C2×C4—24no—
636C2×C4—21no—
637C2×C4—21no—
638C2×C4—22no—
639C2×C4—22no—
640C2×C4—22no—
641C2×C4—22no—
642C2×C4—22no—
643C2×C4—22no—
644C2×C4—21no—
645C2×C4—44no—
646C2×C4—44no—
647C2×C4—44no—
648C2×C4—44no—
649C2×C4—44no—
650C2×C4—41no—
651C2×C4—42no—
652C2×C4—42no—
653C2×C4—41no—
654C2×C4—42no—
655C2×C4—44no—
656C2×C4—41no—
657C2×C4—42no—
658C2×C4—42no—
659C2×C4—42no—
660C2×C4—41no—
661C2×C4—42no—
662C2×C4—42no—
663C2×C4—41no—
664C2×C4—41no—
665C2×C4—44no—
666C2×C4—42no—
667C2×C4—41no—
668C2×C4—42no—
669C2×C4—41no—
670C2×C4—42no—
671C2×C4—44no—
672C2×C4—42no—
673C2×C4—41no—
674C2×C4—84no—
675C2×C4—84no—
676C2×C4—84no—
677C2×C4—84no—
678C2×C4—88no—
679C2×C4—88no—
680C2×C4—84no—
681C2×C4—84no—
682C2×C4—164no—
683C2×C4#53412yes—
684C2×C4#53412yes—
685C2×C4#54712yes—
686C2×C4C22×D812yes—
687C2×C4C22×D812yes—
688C2×C4#57512yes—
689C2×C4C22×#4111yescharacteristic
690C2×C4C2×H(5,𝔽2)12yes—
691C2×C4C2×2−1+411yescharacteristic
692C2×C4#58512yes—
693C8—24no—
694C8—44no—
695C8—42no—
696C22—22no—
697C22—22no—
698C22—22no—
699C22—22no—
700C22—22no—
701C22—22no—
702C22—24no—
703C22—24no—
704C22—24no—
705C22—24no—
706C22—24no—
707C22—24no—
708C22—42no—
709C22—42no—
710C22—42no—
711C22—42no—
712C22—42no—
713C22—42no—
714C22—42no—
715C22—42no—
716C22—816no—
717C22—81no—
718C22—81no—
719C22—81no—
720C22—81no—
721C22—81no—
722C22—81no—
723C22—81no—
724C22#333414yes—
725C22C2×#53411yescharacteristic
726C22C2×#54711yescharacteristic
727C22#348511yescharacteristic
728C22C23×D811yescharacteristic
729C22C2×#57511yescharacteristic
730C22C2×#57811yescharacteristic
731C22#358611yescharacteristic
732C4—22no—
733C4—22no—
734C4—22no—
735C4—42no—
736C4—42no—
737C4—41no—
738C4—82no—
739C4—81no—
740C4—81no—
741C4—82no—
742C4—84no—
743C4—82no—
744C4—81no—
745C4—82no—
746C4#318614yes—
747C4#351412yes—
748C4#356112yes—
749C2—24no—
750C2—44no—
751C2—44no—
752C2—161no—
753C2#3891811yescharacteristic
754C2C2×#318611yescharacteristic
755C2#6075911yescharacteristic
756C2C2×#333411yescharacteristic
757C2#6125711yescharacteristic
758C2#6169411yescharacteristic
759C2#6173011yescharacteristic
subgroupG/H
center, socleC23C23×D4
commutator, Frattini, cosocleC22×C4C25
prime radical#36153C2
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C23 ◁ C22×C4×D4 ◁ G
LECSG ▷ C22×C4 ▷ C2 ▷ C1

Complements

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

NH ≅ G/Ntype
2. C2×#2547C2semidirect
3. #33146C2semidirect
4. #32258C2semidirect
5. #31318C2semidirect
6. #29890C2semidirect
7. #28704C2semidirect
8. #27600C2semidirect
9. #26296C2semidirect
10. #25813C2semidirect
11. #25703C2semidirect
12. #25338C2semidirect
13. #24550C2semidirect
14. #24298C2semidirect
15. D4×C22⋊C8C2semidirect
16. #21940C2semidirect
17. C4×#480C2semidirect
23. C2×#500C22semidirect
25. C2×#474C22semidirect
53. #2075C22semidirect
54. #2075C22semidirect
55. #2075C22semidirect
56. #2075C22semidirect
57. #2075C22semidirect
58. #2057C22semidirect
59. #2057C22semidirect
60. #2033C22semidirect
61. #2033C22semidirect
62. #2033C22semidirect
63. #2023C22semidirect
64. #1990C22semidirect
65. #1988C22semidirect
66. #1988C22semidirect
68. #1947C22semidirect
69. #1925C22semidirect
70. #1918C22semidirect
71. #1918C22semidirect
72. #1893C22semidirect
81. #1852C22semidirect
82. #1852C22semidirect
83. #1852C22semidirect
86. #1823C22semidirect
87. #1808C22semidirect
88. #1808C22semidirect
89. #1808C22semidirect
92. C4×#107C22semidirect
93. C4×#102C22semidirect
391. C22⋊C8#41semidirect

Maximal subgroups

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

subgroupindex
#361532
C2×#25472
#331462
#322582
#313182
#298902
#287042
#276002
#262962
#258132
#257032
#253382
#245502
#242982
D4×C22⋊C82
#219402
C4×#4802