Finite Group Databasebeta

← #6561777

Subgroups — #6561777

Order 512.

2113 conjugacy classes of subgroups.

The subgroup lattice has 749 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#36258C211yesmaximal, characteristic
2#34183C211yesmaximal, characteristic, complemented
3#29921C211yesmaximal, characteristic, complemented
4#29907C212yesmaximal, complemented
5#27973C211yesmaximal, characteristic, complemented
6#27857C212yesmaximal, complemented
7#27645C211yesmaximal, characteristic, complemented
8#27585C212yesmaximal, complemented
9#26318C212yesmaximal, complemented
10#26202C214yesmaximal, complemented
11#24992C212yesmaximal, complemented
12#24865C214yesmaximal, complemented
13#23755C211yesmaximal, characteristic, complemented
14C2×#2071C212yesmaximal, complemented
15#22703C212yesmaximal, complemented
16#22469C211yesmaximal, characteristic, complemented
17D4×#102C212yesmaximal, complemented
18C2×#546—21no—
19C2×D42C2211yescharacteristic
20C2×#520—21no—
21C2×C4×#41C2211yescharacteristic
22C2×#481C2212yes—
23C2×C8×D4C2212yes—
24C22×#102C2214yes—
25#2856C2211yescharacteristic
26#2854C2212yes—
27#2548C2211yescharacteristic
28#2538C2211yescharacteristic
29#2426—21no—
30#2424—22no—
31#2416C2212yes—
32#2414—21no—
33#2411—22no—
34#2408C2212yes—
35Q8×C4⋊C4—21no—
36Q8×C4⋊C4C2212yescomplemented
37D4×C4⋊C4—21no—
38D4×C4⋊C4—22no—
39D4×C4⋊C4C2212yes—
40D4×C4⋊C4C2211yescharacteristic
41D4×C4⋊C4C2214yescomplemented
42D4×C22⋊C4—21no—
43#2317—22no—
44#2317—21no—
45C4×#121C2211yescharacteristic
46C2×#390C2212yes—
47#2285C2212yescomplemented
48#2285C2211yescharacteristic, complemented
49C2×#384C2211yescharacteristic, complemented
50C2×#384C2212yescomplemented
51#2100C2214yescomplemented
52#2100C2211yescharacteristic, complemented
53#2094C2211yescharacteristic
54#2094C2214yescomplemented
55#2094C2212yescomplemented
56#2084C2211yescharacteristic, complemented
57#2084C2212yescomplemented
58#2077C2212yescomplemented
59#2071C2214yes—
60#2071C2211yescharacteristic
61#2071C2212yes—
62#2071C2212yescomplemented
63#2071C2212yescomplemented
64#2071C2214yescomplemented
65#2071C2212yescomplemented
66#2034C2212yes—
67#2034C2214yescomplemented
68#1984C2212yescomplemented
69#1982C2212yes—
70#1957C2212yes—
71#1948C2212yescomplemented
72#1948C2212yescomplemented
73#1926C2214yes—
74#1926C2214yescomplemented
75#1926C2214yescomplemented
76#1919C2214yescomplemented
77#1893C2214yes—
78#1874C2214yes—
79#1874C2214yescomplemented
80#1869C2214yescomplemented
81#1853C2214yescomplemented
82#1853C2214yescomplemented
83#1834C2212yescomplemented
84#1824C2212yescomplemented
85#1817C2212yescomplemented
86#1807C2214yescomplemented
87#1802C2212yes—
88#1797C2211yescharacteristic, complemented
89#1786C2214yes—
90C4×#106C2212yescomplemented
91C4×#102C2212yes—
92C4×C22⋊C8C2211yescharacteristic, complemented
93C2×#340C2214yescomplemented
94C2×#336C2212yescomplemented
95C22×#41D411yescharacteristic
96C23×D4—21no—
97C23×D4C2312yes—
98C23×C8C2314yes—
99#546—48no—
100D42—28no—
101C2×#127C2311yescharacteristic
102C2×#124—21no—
103C2×#123—22no—
104C2×C22⋊Q8—21no—
105C2×#121—22no—
106C2×#121—21no—
107C2×#121—21no—
108C2×#121—21no—
109C2×#121C2312yes—
110C2×#121C2311yescharacteristic
111C2×#121C2312yes—
112C2×#120—22no—
113C2×#120—22no—
114#520—48no—
115C4×#41—28no—
116C2×C4×Q8—22no—
117C2×C4×Q8D411yescharacteristic
118C2×C4×Q8C2311yescharacteristic
119C2×C4×D4—21no—
120C2×C4×D4—22no—
121C2×C4×D4—24no—
122C2×C4×D4—21no—
123C2×C4×D4D411yescharacteristic
124C2×C4×D4D412yes—
125C2×C4×D4C2311yescharacteristic
126C2×C4×D4C2312yes—
127C2×C4×D4C2311yescharacteristic
128C2×#117—22no—
129C2×#117—21no—
130C2×#117D412yes—
131C2×#117D411yescharacteristic
132C22×C4⋊C4—22no—
133C22×C4⋊C4—21no—
134C22×C4⋊C4—22no—
135C22×C4⋊C4—21no—
136C22×C4⋊C4C2312yes—
137C22×C4⋊C4C2314yes—
138C22×C4⋊C4C2312yes—
139C22×C22⋊C4—22no—
140C22×C22⋊C4—22no—
141C22×C42C2311yescharacteristic
142C22×C42C2312yes—
143#481—44no—
144C8×D4—28no—
145C2×#106C2314yes—
146C2×#106C2314yes—
147C2×#106C2312yes—
148C2×#106C2312yes—
149C2×C4⋊C8C2312yes—
150C2×#102—48no—
151C2×#102C2314yes—
152C2×#102C2312yes—
153C2×#102C2314yes—
154C2×#102C2314yes—
155C2×#102C2314yes—
156C2×#102C2312yes—
157C2×#102C2314yes—
158C2×C22⋊C8C2314yes—
159C2×C22⋊C8C2312yes—
160C2×C22⋊C8C2312yes—
161C2×C4×C8C2312yes—
162#396—22no—
163#396—22no—
164#394—22no—
165#394—22no—
166#394—22no—
167#392—22no—
168#390—21no—
169#390—21no—
170#390—21no—
171#390—22no—
172#390—22no—
173#390C2311yescharacteristic
174#390C2312yes—
175#390C2312yes—
176#390C2312yes—
177#390C2312yes—
178#389—22no—
179#389—24no—
180#389—22no—
181#389—24no—
182#389—21no—
183#389C2311yescharacteristic
184#389C2312yes—
185#388—22no—
186#388—22no—
187#388—21no—
188#386—22no—
189#386—21no—
190#386—22no—
191#385—24no—
192#385—24no—
193#385—24no—
194#385—22no—
195#384—21no—
196#384—22no—
197#384—21no—
198#384—22no—
199#384C2312yes—
200#384C2311yescharacteristic
201#384C2312yes—
202#384C2314yes—
203#384C2311yescharacteristic
204#384C2311yescharacteristic
205#382—22no—
206#382—21no—
207#380—22no—
208#380—21no—
209#380—21no—
210#380C2312yes—
211#380C2314yes—
212#380C2311yescharacteristic
213#380C2312yes—
214#379—22no—
215C4×C4⋊C4—21no—
216C4×C4⋊C4—22no—
217C4×C4⋊C4C2312yes—
218C4×C4⋊C4C2311yescharacteristic
219C4×C4⋊C4C2314yes—
220C4×C22⋊C4—21no—
221#340C2314yes—
222#340C2312yes—
223#340C2314yes—
224#340C2312yes—
225#340C2314yes—
226#340C2314yes—
227#340C2314yes—
228#340C2312yes—
229#340C2312yes—
230#336C2312yes—
231#336C2311yescharacteristic
232#336C2314yes—
233#336C2311yescharacteristic
234#336C2314yes—
235C25—22no—
236C2×#41—24no—
237C2×#41—24no—
238C2×#41SD1618yes—
239C22×Q8C2×D411yescharacteristic
240C22×D4—24no—
241C22×D4—22no—
242C22×D4—21no—
243C22×D4—22no—
244C22×D4—21no—
245C22×D4—22no—
246C22×D4—21no—
247C22×D4—28no—
248C22×D4—44no—
249C22×D4—42no—
250C22×D4—44no—
251C22×D4—44no—
252C22×D4—44no—
253C22×D4C2×D412yes—
254C22×D4C2×D411yescharacteristic
255C22×D4C2412yes—
256C22×D4C2411yescharacteristic
257C23×C4—22no—
258C23×C4—22no—
259C23×C4—24no—
260C23×C4—21no—
261C23×C4C2×D412yes—
262C23×C4C2×D411yescharacteristic
263C23×C4C2×D412yes—
264C23×C4C2×D411yescharacteristic
265C23×C4C2411yescharacteristic
266C23×C4C2412yes—
267C22×C8—28no—
268C22×C8—44no—
269C22×C8—44no—
270C22×C8C2412yes—
271C22×C8C2414yes—
272C22×C8C2412yes—
273#127—24no—
274#124—44no—
275#123—48no—
276C22⋊Q8—44no—
277#121—22no—
278#121—28no—
279#121—41no—
280#121—48no—
281#121—44no—
282#121—44no—
283#121—44no—
284#121—82no—
285#120—48no—
286#120—48no—
287C4×Q8—24no—
288C4×Q8—24no—
289C4×Q8—48no—
290C4×D4—24no—
291C4×D4—28no—
292C4×D4—28no—
293C4×D4—24no—
294C4×D4—416no—
295C4×D4—44no—
296C4×D4—48no—
297C4×D4—44no—
298C4×D4#4118yes—
299#117—24no—
300#117—28no—
301#117—48no—
302#117—44no—
303C2×C4⋊C4—21no—
304C2×C4⋊C4—22no—
305C2×C4⋊C4—21no—
306C2×C4⋊C4—22no—
307C2×C4⋊C4—24no—
308C2×C4⋊C4—22no—
309C2×C4⋊C4—21no—
310C2×C4⋊C4—21no—
311C2×C4⋊C4—21no—
312C2×C4⋊C4—22no—
313C2×C4⋊C4—21no—
314C2×C4⋊C4—24no—
315C2×C4⋊C4—22no—
316C2×C4⋊C4—22no—
317C2×C4⋊C4—24no—
318C2×C4⋊C4—22no—
319C2×C4⋊C4—21no—
320C2×C4⋊C4—42no—
321C2×C4⋊C4—44no—
322C2×C4⋊C4—44no—
323C2×C4⋊C4—44no—
324C2×C4⋊C4—42no—
325C2×C4⋊C4—48no—
326C2×C4⋊C4—44no—
327C2×C4⋊C4—84no—
328C2×C4⋊C4—82no—
329C2×C4⋊C4C2×D411yescharacteristic
330C2×C4⋊C4C2×D412yes—
331C2×C4⋊C4C2×D412yes—
332C2×C4⋊C4C2×D411yescharacteristic
333C2×C4⋊C4C2411yescharacteristic
334C2×C4⋊C4C2412yes—
335C2×C4⋊C4C2414yes—
336C2×C4⋊C4C2412yes—
337C2×C4⋊C4C2411yescharacteristic
338C2×C4⋊C4C2411yescharacteristic
339C2×C4⋊C4C2412yes—
340C2×C22⋊C4—22no—
341C2×C22⋊C4—24no—
342C2×C22⋊C4—22no—
343C2×C22⋊C4—21no—
344C2×C22⋊C4—21no—
345C2×C22⋊C4—21no—
346C2×C22⋊C4—22no—
347C2×C22⋊C4—22no—
348C2×C22⋊C4—22no—
349C2×C22⋊C4—22no—
350C2×C22⋊C4—21no—
351C2×C22⋊C4—22no—
352C2×C22⋊C4—22no—
353C2×C22⋊C4—21no—
354C2×C22⋊C4—22no—
355C2×C22⋊C4—22no—
356C2×C22⋊C4—22no—
357C2×C22⋊C4—22no—
358C2×C22⋊C4—48no—
359C2×C22⋊C4—84no—
360C2×C22⋊C4C2×D412yes—
361C2×C22⋊C4C2×D412yes—
362C2×C22⋊C4C2×D412yes—
363C2×C42—28no—
364C2×C42—24no—
365C2×C42—24no—
366C2×C42—22no—
367C2×C42—21no—
368C2×C42C2×D411yescharacteristic
369C2×C42C2×D412yes—
370C2×C42C2×D411yescharacteristic
371C2×C42C2×D412yes—
372C2×C42C2412yes—
373C2×C42C2411yescharacteristic
374C2×C42C2411yescharacteristic
375#106—42no—
376#106—44no—
377#106—42no—
378#106—44no—
379C4⋊C8—24no—
380#102—24no—
381#102—28no—
382#102—44no—
383#102—44no—
384#102—44no—
385#102—42no—
386#102—44no—
387C22⋊C8—28no—
388C22⋊C8—42no—
389C22⋊C8—42no—
390C4×C8—24no—
391#95—21no—
392#95—21no—
393#95—22no—
394#95—24no—
395#95—24no—
396#95—22no—
397#95—21no—
398#95—22no—
399#95—22no—
400C24—21no—
401C24—22no—
402C24—44no—
403C24—44no—
404C24—44no—
405C24—44no—
406C24—82no—
407C24—82no—
408C24—82no—
409C24C22×D411yescharacteristic
410C24C22×D412yes—
411#41—232no—
412C2×Q8—22no—
413C2×Q8—22no—
414C2×Q8C2×SD1614yes—
415C2×D4—24no—
416C2×D4—24no—
417C2×D4—22no—
418C2×D4—24no—
419C2×D4—22no—
420C2×D4—22no—
421C2×D4—21no—
422C2×D4—22no—
423C2×D4—24no—
424C2×D4—416no—
425C2×D4—44no—
426C2×D4—42no—
427C2×D4—44no—
428C2×D4—42no—
429C2×D4—44no—
430C2×D4—44no—
431C2×D4—44no—
432C2×D4—44no—
433C2×D4—42no—
434C2×D4—42no—
435C2×D4—42no—
436C2×D4—42no—
437C2×D4—88no—
438C2×D4—82no—
439C2×D4—81no—
440C2×D4—81no—
441C2×D4—81no—
442C2×D4—82no—
443C2×D4—82no—
444C2×D4—816no—
445C2×D4#12314yes—
446C2×D4C2×SD1618yes—
447C2×D4C2×SD1614yes—
448C2×D4AGL(1,ℤ/8)14yes—
449C2×D4H(5,𝔽2)12yes—
450C22×C4—24no—
451C22×C4—24no—
452C22×C4—22no—
453C22×C4—22no—
454C22×C4—22no—
455C22×C4—22no—
456C22×C4—24no—
457C22×C4—24no—
458C22×C4—22no—
459C22×C4—24no—
460C22×C4—22no—
461C22×C4—22no—
462C22×C4—21no—
463C22×C4—22no—
464C22×C4—21no—
465C22×C4—22no—
466C22×C4—21no—
467C22×C4—21no—
468C22×C4—21no—
469C22×C4—22no—
470C22×C4—24no—
471C22×C4—22no—
472C22×C4—41no—
473C22×C4—42no—
474C22×C4—44no—
475C22×C4—44no—
476C22×C4—48no—
477C22×C4—42no—
478C22×C4—42no—
479C22×C4—42no—
480C22×C4—82no—
481C22×C4—84no—
482C22×C4—82no—
483C22×C4—82no—
484C22×C4—84no—
485C22×C4—82no—
486C22×C4C2×SD1618yes—
487C22×C4C2×SD1614yes—
488C22×C4C22×D411yescharacteristic
489C22×C4C22×D412yes—
490C22×C4C22×D412yes—
491C22×C4C22×D411yescharacteristic
492C22×C4C22×D412yes—
493C22×C4C22×D411yescharacteristic
494C22×C4C22×D411yescharacteristic
495C22×C4C22×D411yescharacteristic
496C22×C4C2×#4118yes—
497C22×C4C2511yescharacteristic
498C2×C8—22no—
499C2×C8—22no—
500C2×C8—24no—
501C2×C8—24no—
502C2×C8—22no—
503C2×C8—22no—
504C2×C8—22no—
505C2×C8—22no—
506C2×C8—24no—
507C2×C8—88no—
508C4⋊C4—24no—
509C4⋊C4—24no—
510C4⋊C4—22no—
511C4⋊C4—22no—
512C4⋊C4—22no—
513C4⋊C4—24no—
514C4⋊C4—21no—
515C4⋊C4—22no—
516C4⋊C4—22no—
517C4⋊C4—24no—
518C4⋊C4—21no—
519C4⋊C4—22no—
520C4⋊C4—22no—
521C4⋊C4—24no—
522C4⋊C4—42no—
523C4⋊C4—44no—
524C4⋊C4—42no—
525C4⋊C4—48no—
526C4⋊C4—42no—
527C4⋊C4—42no—
528C4⋊C4—42no—
529C4⋊C4—44no—
530C4⋊C4—44no—
531C4⋊C4—42no—
532C4⋊C4—44no—
533C4⋊C4—84no—
534C4⋊C4—82no—
535C4⋊C4—82no—
536C4⋊C4—82no—
537C4⋊C4—84no—
538C4⋊C4—81no—
539C4⋊C4#12314yes—
540C22⋊C4—24no—
541C22⋊C4—24no—
542C22⋊C4—42no—
543C22⋊C4—44no—
544C22⋊C4—44no—
545C22⋊C4—42no—
546C22⋊C4—48no—
547C22⋊C4—42no—
548C22⋊C4—44no—
549C22⋊C4—42no—
550C22⋊C4—44no—
551C22⋊C4—44no—
552C22⋊C4—44no—
553C22⋊C4—44no—
554C22⋊C4—42no—
555C22⋊C4—44no—
556C22⋊C4—82no—
557C22⋊C4—82no—
558C22⋊C4—82no—
559C22⋊C4—82no—
560C22⋊C4#12318yes—
561C42—24no—
562C42—22no—
563C42—24no—
564C42—22no—
565C42—22no—
566C42—24no—
567C42—48no—
568C42—42no—
569C42—44no—
570C42C2×#4114yes—
571C23—22no—
572C23—22no—
573C23—22no—
574C23—22no—
575C23—21no—
576C23—21no—
577C23—21no—
578C23—21no—
579C23—21no—
580C23—21no—
581C23—22no—
582C23—41no—
583C23—41no—
584C23—41no—
585C23—41no—
586C23—41no—
587C23—41no—
588C23—42no—
589C23—42no—
590C23—42no—
591C23—42no—
592C23—42no—
593C23—42no—
594C23—42no—
595C23—88no—
596C23—88no—
597C23—88no—
598C23—88no—
599C23—164no—
600C23—164no—
601C23—164no—
602C23C2×#12314yes—
603C23C22×SD1612yes—
604C23C22×SD1614yes—
605C23C2×AGL(1,ℤ/8)14yes—
606C23C23×D411yescharacteristic
607Q8—28no—
608D4—216no—
609D4—24no—
610D4—44no—
611D4—42no—
612D4—44no—
613D4—88no—
614D4—84no—
615D4—88no—
616D4—84no—
617D4—162no—
618D4—164no—
619D4#481116yescomplemented
620C2×C4—21no—
621C2×C4—21no—
622C2×C4—216no—
623C2×C4—21no—
624C2×C4—21no—
625C2×C4—22no—
626C2×C4—22no—
627C2×C4—22no—
628C2×C4—22no—
629C2×C4—21no—
630C2×C4—21no—
631C2×C4—28no—
632C2×C4—28no—
633C2×C4—28no—
634C2×C4—22no—
635C2×C4—22no—
636C2×C4—21no—
637C2×C4—21no—
638C2×C4—21no—
639C2×C4—22no—
640C2×C4—44no—
641C2×C4—48no—
642C2×C4—42no—
643C2×C4—42no—
644C2×C4—41no—
645C2×C4—42no—
646C2×C4—41no—
647C2×C4—41no—
648C2×C4—42no—
649C2×C4—44no—
650C2×C4—42no—
651C2×C4—41no—
652C2×C4—42no—
653C2×C4—41no—
654C2×C4—41no—
655C2×C4—42no—
656C2×C4—41no—
657C2×C4—42no—
658C2×C4—44no—
659C2×C4—42no—
660C2×C4—41no—
661C2×C4—41no—
662C2×C4—42no—
663C2×C4—42no—
664C2×C4—44no—
665C2×C4—84no—
666C2×C4—168no—
667C2×C4—164no—
668C2×C4—164no—
669C2×C4C2×#12314yes—
670C2×C4C2×#12312yes—
671C2×C4C2×#12312yes—
672C2×C4C22×SD1612yes—
673C2×C4C22×SD1614yes—
674C2×C4C22×SD1612yes—
675C2×C4C2×AGL(1,ℤ/8)12yes—
676C2×C4#57612yes—
677C2×C4C22×#4112yes—
678C2×C4C2×H(5,𝔽2)11yescharacteristic
679C2×C4#58512yes—
680C2×C4#58511yescharacteristic
681C8—44no—
682C8—42no—
683C8—42no—
684C22—24no—
685C22—24no—
686C22—24no—
687C22—24no—
688C22—24no—
689C22—24no—
690C22—22no—
691C22—22no—
692C22—22no—
693C22—41no—
694C22—41no—
695C22—41no—
696C22—41no—
697C22—42no—
698C22—42no—
699C22—42no—
700C22—81no—
701C22—81no—
702C22—81no—
703C22—81no—
704C22—82no—
705C22—82no—
706C22—82no—
707C22—82no—
708C22—82no—
709C22—82no—
710C22—82no—
711C22—1616no—
712C22C2×#48118yes—
713C22C22×#12311yescharacteristic
714C22#348811yescharacteristic
715C22#350011yescharacteristic
716C22C23×SD1611yescharacteristic
717C22C22×AGL(1,ℤ/8)11yescharacteristic
718C22C2×#57611yescharacteristic
719C22#358611yescharacteristic
720C4—22no—
721C4—24no—
722C4—22no—
723C4—22no—
724C4—24no—
725C4—42no—
726C4—41no—
727C4—82no—
728C4—84no—
729C4—81no—
730C4—82no—
731C4—81no—
732C4—82no—
733C4—81no—
734C4C2×#48114yes—
735C4#351312yes—
736C4#352112yes—
737C2—28no—
738C2—42no—
739C2—82no—
740C2—162no—
741C2#3597611yescharacteristic
742C2C22×#48111yescharacteristic
743C2#6052111yescharacteristic
744C2#6194811yescharacteristic
745C2#6197911yescharacteristic
746C2#6252511yescharacteristic
747C2#6258311yescharacteristic
subgroupG/H
center, socleC23C23×D4
commutator, Frattini, cosocleC22×C4C25
prime radical#36258C2
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C23 ◁ C2×C4×#41 ◁ G
LECSG ▷ C22×C4 ▷ C2 ▷ C1

Complements

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

NH ≅ G/Ntype
2. #34183C2semidirect
3. #29921C2semidirect
4. #29907C2semidirect
5. #27973C2semidirect
6. #27857C2semidirect
7. #27645C2semidirect
8. #27585C2semidirect
9. #26318C2semidirect
10. #26202C2semidirect
11. #24992C2semidirect
12. #24865C2semidirect
13. #23755C2semidirect
14. C2×#2071C2semidirect
15. #22703C2semidirect
16. #22469C2semidirect
17. D4×#102C2semidirect
36. Q8×C4⋊C4C22semidirect
41. D4×C4⋊C4C22semidirect
47. #2285C22semidirect
48. #2285C22semidirect
49. C2×#384C22semidirect
50. C2×#384C22semidirect
51. #2100C22semidirect
52. #2100C22semidirect
54. #2094C22semidirect
55. #2094C22semidirect
56. #2084C22semidirect
57. #2084C22semidirect
58. #2077C22semidirect
62. #2071C22semidirect
63. #2071C22semidirect
64. #2071C22semidirect
65. #2071C22semidirect
67. #2034C22semidirect
68. #1984C22semidirect
71. #1948C22semidirect
72. #1948C22semidirect
74. #1926C22semidirect
75. #1926C22semidirect
76. #1919C22semidirect
79. #1874C22semidirect
80. #1869C22semidirect
81. #1853C22semidirect
82. #1853C22semidirect
83. #1834C22semidirect
84. #1824C22semidirect
85. #1817C22semidirect
86. #1807C22semidirect
88. #1797C22semidirect
90. C4×#106C22semidirect
92. C4×C22⋊C8C22semidirect
93. C2×#340C22semidirect
94. C2×#336C22semidirect
619. D4#481semidirect

Maximal subgroups

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

subgroupindex
#362582
#341832
#299212
#299072
#279732
#278572
#276452
#275852
#263182
#262022
#249922
#248652
#237552
C2×#20712
#227032
#224692
D4×#1022