Finite Group Databasebeta

← #6494928

Subgroups — #6494928

Order 512.

1858 conjugacy classes of subgroups.

The subgroup lattice has 771 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#36635C211yesmaximal, characteristic, complemented
2C4×#532C211yesmaximal, characteristic
3#33201C212yesmaximal, complemented
4#33199C212yesmaximal, complemented
5#30000C214yesmaximal, complemented
6#29290C211yesmaximal, characteristic, complemented
7#29289C212yesmaximal, complemented
8#29287C211yesmaximal, characteristic, complemented
9#28286C212yesmaximal, complemented
10#28280C211yesmaximal, characteristic, complemented
11#28279C211yesmaximal, characteristic, complemented
12#24839C214yesmaximal, complemented
13#24836C212yesmaximal, complemented
14#24835C212yesmaximal, complemented
15#21962C212yesmaximal, complemented
16#21888C212yesmaximal
17C2×#1842C211yesmaximal, characteristic, complemented
18C2×#532C2211yescharacteristic
19C2×C4×#41—21no—
20C2×#478C2214yes—
21C2×#476C2212yes—
22C2×#474C2212yes—
23C22×C4⋊C8C2212yes—
24C22×C4⋊C8C2212yes—
25C22×C4⋊C8C2212yes—
26#2864C2212yes—
27#2863—21no—
28#2863—21no—
29#2862C2211yescharacteristic
30#2859C2211yescharacteristic
31#2857C2211yescharacteristic
32#2857C2211yescharacteristic
33#2855—21no—
34#2855—21no—
35#2851C2212yes—
36C4×C4⋊Q8C2211yescharacteristic
37C4×C4⋊Q8C2211yescharacteristic
38C4×C4⋊Q8C2211yescharacteristic
39C4×C4⋊Q8C2211yescharacteristic
40C4×#127C2211yescharacteristic
41C4×#127C2211yescharacteristic
42C4×#125C2212yes—
43C4×#124—21no—
44C4×#124—21no—
45C4×C22⋊Q8—21no—
46C4×C22⋊Q8—21no—
47C4×#121—21no—
48C4×#121—21no—
49C4×#121C2212yes—
50C4×#121C2212yes—
51#2297—21no—
52#2295—21no—
53#2295—21no—
54#2293—21no—
55#2293C2212yes—
56#2285C2211yescharacteristic
57#2283C2212yes—
58C42×D4—21no—
59C42×D4C2212yes—
60C2×C43C2211yescharacteristic
61#2088C2214yes—
62#2088C2214yes—
63#2087C2214yes—
64#2086C2214yes—
65#2067C2214yes—
66#2067C2214yes—
67#2065C2214yes—
68#2065C2214yes—
69#1989C2214yes—
70#1988C2212yes—
71#1987C2212yes—
72#1987C2212yes—
73#1987C2212yes—
74#1982C2212yes—
75#1982C2212yes—
76#1949C2214yes—
77#1949C2214yes—
78#1949C2214yes—
79#1948C2212yes—
80#1948C2212yes—
81#1948C2212yes—
82#1947C2212yes—
83#1947C2212yes—
84#1947C2212yes—
85#1893C2214yes—
86#1893C2214yes—
87#1842C2212yes—
88#1842C2211yescharacteristic
89#1842C2212yes—
90#1842C2211yescharacteristic
91#1842C2212yes—
92#1808C2214yes—
93#1807C2214yes—
94#1804C2214yes—
95#1804C2214yes—
96#1804C2214yes—
97#1802C2212yes—
98#1802C2212yes—
99C22×#41—21no—
100C23×C8C2314yes—
101#532—24no—
102#532Q818yescomplemented
103C2×C4⋊Q8C2311yescharacteristic
104C2×C4⋊Q8C2311yescharacteristic
105C2×C4⋊Q8C2311yescharacteristic
106C2×#127C2311yescharacteristic
107C2×#125C2312yes—
108C2×#124—21no—
109C2×C22⋊Q8—21no—
110C2×C22⋊Q8—21no—
111C2×#121—21no—
112C2×#121C2312yes—
113C4×#41—48no—
114C2×C4×Q8—21no—
115C2×C4×Q8—21no—
116C2×C4×Q8—21no—
117C2×C4×Q8—21no—
118C2×C4×D4—22no—
119C2×C4×D4—22no—
120C2×C4×D4—21no—
121C2×C4×D4—21no—
122C2×C4×D4—21no—
123C2×C4×D4—21no—
124C2×C4×D4—21no—
125C2×C4×D4C2312yes—
126C2×C4×D4C2312yes—
127C2×C4×D4C2312yes—
128C2×#117—21no—
129C2×#117—22no—
130C22×C42—22no—
131C22×C42D411yescharacteristic
132C22×C42D411yescharacteristic
133C22×C42D411yescharacteristic
134C22×C42D411yescharacteristic
135C22×C42C2311yescharacteristic
136C22×C42C2311yescharacteristic
137C22×C42C2311yescharacteristic
138#478—48no—
139#476—44no—
140#474—44no—
141C2×#107C2314yes—
142C2×#107C2314yes—
143C2×#106C2314yes—
144C2×#106C2314yes—
145C2×C4⋊C8—28no—
146C2×C4⋊C8—44no—
147C2×C4⋊C8—44no—
148C2×C4⋊C8C2314yes—
149C2×C4⋊C8C2312yes—
150C2×C4⋊C8C2312yes—
151C2×C4⋊C8C2314yes—
152C2×C4⋊C8C2312yes—
153C2×C4⋊C8C2312yes—
154C2×C4⋊C8C2312yes—
155C2×C4⋊C8C2314yes—
156C2×C4⋊C8C2312yes—
157C2×#102C2314yes—
158C2×#102C2314yes—
159C2×#102C2314yes—
160C2×#102C2314yes—
161#391—21no—
162#391—21no—
163#391—21no—
164#391—21no—
165#391—21no—
166#391—21no—
167#391—21no—
168#391—21no—
169#391—21no—
170#391—21no—
171#390—21no—
172#390—21no—
173#390—21no—
174#390—21no—
175#390C2312yes—
176#390C2312yes—
177#389—21no—
178#389—21no—
179#389—21no—
180#389—21no—
181#389—21no—
182#389—21no—
183#389—21no—
184#389—21no—
185#389—21no—
186#389—21no—
187#389C2312yes—
188#389C2312yes—
189#389C2312yes—
190#389C2312yes—
191#389C2312yes—
192#389C2312yes—
193#388—22no—
194#388—22no—
195#388—22no—
196#388—22no—
197#387—22no—
198#387—22no—
199#387—22no—
200#387—22no—
201#387—22no—
202#387—22no—
203#387—22no—
204#387—22no—
205#386—22no—
206#386—22no—
207#385—22no—
208#385—22no—
209#384C2311yescharacteristic
210#384C2311yescharacteristic
211#384C2311yescharacteristic
212#384C2311yescharacteristic
213#383—22no—
214#382—21no—
215#382C2312yes—
216#382C2312yes—
217#382C2312yes—
218#381—22no—
219#380—21no—
220#380—21no—
221#380—21no—
222#380C2312yes—
223#380C2312yes—
224#380C2312yes—
225C4×C4⋊C4—22no—
226C4×C4⋊C4—22no—
227C4×C4⋊C4—21no—
228C4×C4⋊C4—21no—
229C4×C4⋊C4—21no—
230C4×C4⋊C4—21no—
231C4×C4⋊C4—21no—
232C4×C4⋊C4C2312yes—
233C4×C4⋊C4C2312yes—
234C4×C4⋊C4C2312yes—
235C4×C4⋊C4C2312yes—
236C4×C4⋊C4C2312yes—
237C4×C22⋊C4—22no—
238C4×C22⋊C4—22no—
239C4×C22⋊C4—22no—
240C4×C22⋊C4—22no—
241C4×C22⋊C4—22no—
242C4×C22⋊C4—22no—
243C4×C22⋊C4—22no—
244#376—22no—
245C43D411yescharacteristic
246C43D411yescharacteristic
247C43D411yescharacteristic
248C43D411yescharacteristic
249C43C2311yescharacteristic
250C43C2311yescharacteristic
251C43C2311yescharacteristic
252C43C2311yescharacteristic
253#340C2314yes—
254#340C2314yes—
255#340C2314yes—
256#340C2314yes—
257#340C2314yes—
258#340C2314yes—
259#340C2314yes—
260#340C2314yes—
261C2×#41—28no—
262C2×#41—44no—
263C2×#41—44no—
264C22×Q8—21no—
265C22×Q8—21no—
266C22×Q8—21no—
267C22×D4—22no—
268C22×D4—21no—
269C22×D4—21no—
270C22×D4C2412yes—
271C23×C4—22no—
272C23×C4—22no—
273C23×C4—22no—
274C23×C4C2×D411yescharacteristic
275C23×C4C2×D411yescharacteristic
276C23×C4C2×D411yescharacteristic
277C23×C4C2×D411yescharacteristic
278C23×C4C2×D411yescharacteristic
279C23×C4C2×D411yescharacteristic
280C23×C4C2411yescharacteristic
281C22×C8—28no—
282C22×C8—44no—
283C22×C8—44no—
284C22×C8C2414yes—
285C22×C8C2414yes—
286C4⋊Q8—22no—
287C4⋊Q8—22no—
288C4⋊Q8—22no—
289C4⋊Q8—22no—
290C4⋊Q8—22no—
291C4⋊Q8C2×Q814yes—
292#127—22no—
293#127C2×Q814yes—
294#125—24no—
295#125—24no—
296#124—28no—
297C22⋊Q8—44no—
298C22⋊Q8—44no—
299#121—28no—
300#121—24no—
301#121C2×Q818yes—
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—24no—
311C4×D4—24no—
312C4×D4—44no—
313C4×D4—44no—
314C4×D4—44no—
315C4×D4—48no—
316C4×D4—48no—
317C4×D4—44no—
318C4×D4C2×Q818yes—
319#117—48no—
320#117—44no—
321C2×C4⋊C4—21no—
322C2×C4⋊C4—21no—
323C2×C4⋊C4—21no—
324C2×C4⋊C4—22no—
325C2×C4⋊C4—22no—
326C2×C4⋊C4—21no—
327C2×C4⋊C4—21no—
328C2×C4⋊C4—21no—
329C2×C4⋊C4—21no—
330C2×C4⋊C4—22no—
331C2×C4⋊C4—22no—
332C2×C4⋊C4—21no—
333C2×C4⋊C4—21no—
334C2×C4⋊C4—22no—
335C2×C4⋊C4—22no—
336C2×C4⋊C4—22no—
337C2×C4⋊C4—22no—
338C2×C4⋊C4—21no—
339C2×C4⋊C4—21no—
340C2×C4⋊C4C2412yes—
341C2×C4⋊C4C2412yes—
342C2×C4⋊C4C2412yes—
343C2×C4⋊C4C2412yes—
344C2×C4⋊C4C2412yes—
345C2×C4⋊C4C2412yes—
346C2×C4⋊C4C2412yes—
347C2×C22⋊C4—22no—
348C2×C22⋊C4—22no—
349C2×C22⋊C4—22no—
350C2×C22⋊C4—22no—
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×C42—24no—
359C2×C42—24no—
360C2×C42—22no—
361C2×C42—22no—
362C2×C42—22no—
363C2×C42—22no—
364C2×C42—22no—
365C2×C42—22no—
366C2×C42—22no—
367C2×C42—22no—
368C2×C42—22no—
369C2×C42—42no—
370C2×C42—48no—
371C2×C42—42no—
372C2×C42C2×D411yescharacteristic
373C2×C42C2×D411yescharacteristic
374C2×C42C2×D411yescharacteristic
375C2×C42C2×D411yescharacteristic
376C2×C42C2×D411yescharacteristic
377C2×C42C2×D411yescharacteristic
378C2×C42C2×D411yescharacteristic
379C2×C42C2×D411yescharacteristic
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×Q814yes—
395C2×C42#4114yes—
396C2×C42C2411yescharacteristic
397C2×C42C2411yescharacteristic
398C2×C42C2411yescharacteristic
399C2×C42C2411yescharacteristic
400C2×C42C2411yescharacteristic
401C2×C42C2411yescharacteristic
402#107—44no—
403#107—44no—
404#106—44no—
405#106—44no—
406C4⋊C8—28no—
407C4⋊C8—24no—
408C4⋊C8—24no—
409C4⋊C8—24no—
410C4⋊C8—24no—
411C4⋊C8—28no—
412C4⋊C8—42no—
413C4⋊C8—44no—
414C4⋊C8—42no—
415#102—44no—
416#102—44no—
417#102—44no—
418#102—44no—
419#95—22no—
420#95—22no—
421#95—22no—
422#95—22no—
423#95—22no—
424#95—22no—
425#95—22no—
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—
439C24—22no—
440C24C22×D411yescharacteristic
441#41—432no—
442C2×Q8—24no—
443C2×Q8—42no—
444C2×Q8—42no—
445C2×Q8—42no—
446C2×Q8—42no—
447C2×Q8—42no—
448C2×Q8—42no—
449C2×Q8—42no—
450C2×Q8—42no—
451C2×D4—28no—
452C2×D4—24no—
453C2×D4—24no—
454C2×D4—22no—
455C2×D4—22no—
456C2×D4—22no—
457C2×D4—22no—
458C2×D4—22no—
459C2×D4—42no—
460C2×D4—42no—
461C2×D4—44no—
462C2×D4—44no—
463C2×D4—42no—
464C2×D4—42no—
465C2×D4C22×Q814yes—
466C22×C4—22no—
467C22×C4—22no—
468C22×C4—22no—
469C22×C4—22no—
470C22×C4—22no—
471C22×C4—22no—
472C22×C4—22no—
473C22×C4—22no—
474C22×C4—22no—
475C22×C4—21no—
476C22×C4—21no—
477C22×C4—21no—
478C22×C4—21no—
479C22×C4—22no—
480C22×C4—22no—
481C22×C4—22no—
482C22×C4—28no—
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—44no—
494C22×C4—44no—
495C22×C4—44no—
496C22×C4—44no—
497C22×C4—44no—
498C22×C4—44no—
499C22×C4—44no—
500C22×C4—44no—
501C22×C4C22⋊Q814yes—
502C22×C4C22⋊Q814yes—
503C22×C4AGL(1,ℤ/8)14yes—
504C22×C4C22×D411yescharacteristic
505C22×C4C22×D411yescharacteristic
506C22×C4C22×D411yescharacteristic
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×Q812yes—
518C22×C4C2×#4112yes—
519C22×C4C2511yescharacteristic
520C2×C8—24no—
521C2×C8—24no—
522C2×C8—24no—
523C2×C8—24no—
524C2×C8—24no—
525C2×C8—24no—
526C2×C8—88no—
527C4⋊C4—24no—
528C4⋊C4—22no—
529C4⋊C4—22no—
530C4⋊C4—22no—
531C4⋊C4—22no—
532C4⋊C4—22no—
533C4⋊C4—22no—
534C4⋊C4—22no—
535C4⋊C4—22no—
536C4⋊C4—22no—
537C4⋊C4—22no—
538C4⋊C4—22no—
539C4⋊C4—22no—
540C4⋊C4—22no—
541C4⋊C4—42no—
542C4⋊C4—42no—
543C4⋊C4—44no—
544C4⋊C4—42no—
545C4⋊C4—44no—
546C4⋊C4—42no—
547C4⋊C4—44no—
548C4⋊C4—44no—
549C4⋊C4—44no—
550C4⋊C4—42no—
551C4⋊C4—42no—
552C4⋊C4—42no—
553C4⋊C4—42no—
554C4⋊C4—44no—
555C4⋊C4—44no—
556C4⋊C4—42no—
557C4⋊C4—44no—
558C4⋊C4—42no—
559C4⋊C4C22×Q814yes—
560C22⋊C4—28no—
561C22⋊C4—28no—
562C22⋊C4—44no—
563C22⋊C4—44no—
564C22⋊C4—44no—
565C22⋊C4—44no—
566C22⋊C4—44no—
567C22⋊C4—44no—
568C22⋊C4—44no—
569C22⋊C4—44no—
570C22⋊C4—44no—
571C42—22no—
572C42—22no—
573C42—22no—
574C42—22no—
575C42—22no—
576C42—22no—
577C42—22no—
578C42—22no—
579C42—22no—
580C42—22no—
581C42—22no—
582C42—22no—
583C42—22no—
584C42—21no—
585C42—21no—
586C42—21no—
587C42—21no—
588C42—41no—
589C42—41no—
590C42—41no—
591C42—41no—
592C42—41no—
593C42—41no—
594C42—44no—
595C42—44no—
596C42—44no—
597C42—44no—
598C42—44no—
599C42C22⋊Q814yes—
600C42C22⋊Q814yes—
601C42#13514yes—
602C42C22×Q812yes—
603C42C22×Q812yes—
604C42C2×#4112yes—
605C42C2×#4112yes—
606C42H(5,𝔽2)12yes—
607C42H(5,𝔽2)12yes—
608C422−1+412yes—
609C422−1+412yes—
610C23—21no—
611C23—21no—
612C23—21no—
613C23—21no—
614C23—24no—
615C23—42no—
616C23—42no—
617C23—42no—
618C23—42no—
619C23—42no—
620C23—42no—
621C23C2×C22⋊Q812yes—
622C23C2×AGL(1,ℤ/8)12yes—
623C23#57512yes—
624C23C23×D411yescharacteristic
625Q8—48no—
626Q8—84no—
627Q8—84no—
628D4—24no—
629D4—24no—
630D4—48no—
631D4—416no—
632D4—48no—
633D4—42no—
634D4—42no—
635C2×C4—28no—
636C2×C4—28no—
637C2×C4—21no—
638C2×C4—21no—
639C2×C4—21no—
640C2×C4—21no—
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—21no—
654C2×C4—21no—
655C2×C4—28no—
656C2×C4—28no—
657C2×C4—22no—
658C2×C4—22no—
659C2×C4—22no—
660C2×C4—22no—
661C2×C4—24no—
662C2×C4—21no—
663C2×C4—21no—
664C2×C4—21no—
665C2×C4—21no—
666C2×C4—21no—
667C2×C4—21no—
668C2×C4—44no—
669C2×C4—44no—
670C2×C4—416no—
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—42no—
690C2×C4—42no—
691C2×C4—88no—
692C2×C4—88no—
693C2×C4C2×C22⋊Q812yes—
694C2×C4C2×C22⋊Q812yes—
695C2×C4C2×C22⋊Q812yes—
696C2×C4C2×C22⋊Q812yes—
697C2×C4C2×C22⋊Q812yes—
698C2×C4#53712yes—
699C2×C4#53712yes—
700C2×C4#53712yes—
701C2×C4#53712yes—
702C2×C4C2×#13512yes—
703C2×C4C2×#13512yes—
704C2×C4C2×#13512yes—
705C2×C4C2×AGL(1,ℤ/8)12yes—
706C2×C4C2×AGL(1,ℤ/8)12yes—
707C2×C4#57512yes—
708C2×C4C23×Q811yescharacteristic
709C2×C4C22×#4111yescharacteristic
710C2×C4C2×H(5,𝔽2)11yescharacteristic
711C2×C4C2×H(5,𝔽2)11yescharacteristic
712C2×C4C2×2−1+411yescharacteristic
713C2×C4C2×2−1+411yescharacteristic
714C8—44no—
715C8—44no—
716C22—22no—
717C22—22no—
718C22—22no—
719C22—22no—
720C22—22no—
721C22—22no—
722C22—44no—
723C22—44no—
724C22—44no—
725C22—82no—
726C22—82no—
727C22—82no—
728C22—82no—
729C22#307714yes—
730C22C22×C22⋊Q811yescharacteristic
731C22C2×#53711yescharacteristic
732C22C2×#53711yescharacteristic
733C22C22×#13511yescharacteristic
734C22C22×AGL(1,ℤ/8)11yescharacteristic
735C22C2×#57511yescharacteristic
736C22C2×#57511yescharacteristic
737C4—22no—
738C4—22no—
739C4—22no—
740C4—22no—
741C4—22no—
742C4—22no—
743C4—22no—
744C4—22no—
745C4—22no—
746C4—44no—
747C4—41no—
748C4—41no—
749C4—82no—
750C4—82no—
751C4—82no—
752C4—82no—
753C4—82no—
754C4—82no—
755C4#307614yes—
756C4#324714yes—
757C4#350311yescharacteristic
758C4#350311yescharacteristic
759C4#350811yescharacteristic
760C4#350911yescharacteristic
761C2—24no—
762C2—84no—
763C2#3528011yescharacteristic
764C2C2×#307611yescharacteristic
765C2C2×#307711yescharacteristic
766C2C2×#324711yescharacteristic
767C2#6090011yescharacteristic
768C2#6091611yescharacteristic
769C2#6091711yescharacteristic
subgroupG/H
center, socleC23C23×D4
commutator, Frattini, cosocleC22×C4C25
prime radicalC2×#532C22
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C23 ◁ C2×C43 ◁ G
LECSG ▷ C22×C4 ▷ C2 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #36635C2semidirect
3. #33201C2semidirect
4. #33199C2semidirect
5. #30000C2semidirect
6. #29290C2semidirect
7. #29289C2semidirect
8. #29287C2semidirect
9. #28286C2semidirect
10. #28280C2semidirect
11. #28279C2semidirect
12. #24839C2semidirect
13. #24836C2semidirect
14. #24835C2semidirect
15. #21962C2semidirect
17. C2×#1842C2semidirect
102. #532Q8semidirect

Maximal subgroups

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

subgroupindex
#366352
C4×#5322
#332012
#331992
#300002
#292902
#292892
#292872
#282862
#282802
#282792
#248392
#248362
#248352
#219622
#218882
C2×#18422