Finite Group Databasebeta

← #920675

Subgroups — #920675

Order 512.

3788 conjugacy classes of subgroups.

The subgroup lattice has 798 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#2405C211yesmaximal, characteristic
2C22×#397C211yesmaximal, characteristic, complemented
3#17157C214yesmaximal, complemented
4#16856C214yesmaximal, complemented
5#16470C212yesmaximal, complemented
6#16391C212yesmaximal, complemented
7#15579C212yesmaximal, complemented
8#15480C212yesmaximal, complemented
9#15091C212yesmaximal, complemented
10#14912C212yesmaximal, complemented
11#14727C212yesmaximal, complemented
12#14259C212yesmaximal, complemented
13#14135C212yesmaximal, complemented
14#13868C211yesmaximal, characteristic, complemented
15#13867C212yesmaximal
16C24×D4C2211yescharacteristic
17C22×#123C2212yes—
18C22×#117C2211yescharacteristic, complemented
19C23×C4⋊C4C2211yescharacteristic, complemented
20C23×C22⋊C4C2212yes—
21C23×C22⋊C4C2211yescharacteristic
22#2405—28no—
23C2×#397—28no—
24C2×#397C2212yes—
25C2×#397C2212yes—
26C2×#397C2214yes—
27C2×#397C2212yescomplemented
28C2×#397C2212yescomplemented
29C2×#394C2212yes—
30C2×#394C2212yes—
31C2×#386C2212yes—
32C2×#386C2212yes—
33C2×#386C2212yes—
34C2×#386C2212yes—
35C2×#386C2212yes—
36C2×#385C2211yescharacteristic
37C2×#385C2211yescharacteristic
38C2×#385C2212yescomplemented
39C2×#381C2211yescharacteristic, complemented
40C2×#379C2211yescharacteristic
41C2×#379C2211yescharacteristic
42C2×#379C2211yescharacteristic
43C2×#379C2214yes—
44C2×#379C2212yes—
45C22×#95C2212yescomplemented
46C22×#95C2211yescharacteristic, complemented
47#1443C2214yescomplemented
48#1442C2214yescomplemented
49#1442C2214yescomplemented
50#1442C2214yescomplemented
51#1442C2214yescomplemented
52#1441C2214yescomplemented
53#1441C2214yescomplemented
54#1440C2214yes—
55#1440C2214yescomplemented
56#1440C2214yescomplemented
57#1440C2214yescomplemented
58#1439C2212yes—
59#1439C2212yescomplemented
60#1439C2214yescomplemented
61#1439C2214yescomplemented
62#1439C2214yescomplemented
63#1439C2214yescomplemented
64#1439C2214yescomplemented
65#1439C2214yescomplemented
66#1438C2214yes—
67#1438C2214yes—
68#1437C2212yes—
69#1437C2212yescomplemented
70#1437C2214yescomplemented
71#1436C2214yescomplemented
72C22⋊#95C2214yes—
73C22⋊#95C2212yescomplemented
74C22⋊#95C2212yescomplemented
75C22⋊#95C2212yescomplemented
76C22⋊#95C2212yescomplemented
77C26C2311yescharacteristic
78C26C2311yescharacteristic
79C23×D4—24no—
80C23×D4—28no—
81C23×D4—44no—
82C23×D4—42no—
83C23×D4—42no—
84C23×D4C2312yes—
85C23×D4C2312yes—
86C24×C4C2311yescharacteristic
87C24×C4C2311yescharacteristic
88C24×C4C2312yes—
89C24×C4C2312yes—
90C24×C4C2311yescharacteristic
91C2×#123—28no—
92C2×#123—28no—
93C2×#123—44no—
94C2×#117—44no—
95C2×#117—42no—
96C22×C4⋊C4—24no—
97C22×C4⋊C4—42no—
98C22×C4⋊C4—42no—
99C22×C4⋊C4C2312yes—
100C22×C4⋊C4C2312yes—
101C22×C4⋊C4C2312yes—
102C22×C4⋊C4C2312yes—
103C22×C4⋊C4C2314yes—
104C22×C4⋊C4C2312yes—
105C22×C22⋊C4—28no—
106C22×C22⋊C4—48no—
107C22×C22⋊C4—42no—
108C22×C22⋊C4—42no—
109C22×C22⋊C4D418yes—
110C22×C22⋊C4C2311yescharacteristic
111C22×C22⋊C4C2314yes—
112C22×C22⋊C4C2312yes—
113C22×C22⋊C4C2312yes—
114C22×C22⋊C4C2312yes—
115C22×C22⋊C4C2312yes—
116C22×C22⋊C4C2312yes—
117C22×C22⋊C4C2312yes—
118C22×C22⋊C4C2312yes—
119C22×C22⋊C4C2312yes—
120C22×C22⋊C4C2314yes—
121C22×C22⋊C4C2314yes—
122C22×C22⋊C4C2314yes—
123C22×C22⋊C4C2311yescharacteristic
124C22×C22⋊C4C2314yes—
125C22×C22⋊C4C2314yes—
126C22×C22⋊C4C2314yes—
127C22×C22⋊C4C2314yes—
128C22×C22⋊C4C2311yescharacteristic
129C22×C22⋊C4C2311yescharacteristic
130C22×C22⋊C4C2311yescharacteristic
131C22×C22⋊C4C2311yescharacteristic
132C22×C42C2312yes—
133#397—28no—
134#397—28no—
135#397—28no—
136#397—28no—
137#397—48no—
138#394—28no—
139#394—28no—
140#386—28no—
141#386—28no—
142#386—44no—
143#386—44no—
144#386—44no—
145#385—24no—
146#385—24no—
147#385—44no—
148#381—42no—
149#379—24no—
150#379—24no—
151#379—24no—
152#379—48no—
153#379—44no—
154C2×#95—28no—
155C2×#95—24no—
156C2×#95C2312yes—
157C2×#95C2312yes—
158C2×#95C2314yes—
159C2×#95C2312yes—
160C2×#95C2314yes—
161C2×#95C2312yes—
162C2×#95C2314yes—
163C2×#95C2314yes—
164C2×#95C2314yes—
165C2×#95C2314yes—
166C2×#95C2314yes—
167C2×#95C2314yes—
168C2×#95C2314yes—
169C2×#95C2314yes—
170C2×#95C2314yes—
171C2×#95C2314yes—
172C2×#95C2314yes—
173C2×#95C2314yes—
174C2×#95C2312yes—
175C2×#95C2312yes—
176C2×#95C2314yes—
177C25—24no—
178C25—24no—
179C25—22no—
180C25—22no—
181C25—24no—
182C25—22no—
183C25—24no—
184C25—24no—
185C25—41no—
186C25—42no—
187C25—41no—
188C25—42no—
189C25—44no—
190C25—44no—
191C25—42no—
192C25C2×D414yes—
193C25C2411yescharacteristic
194C25C2412yes—
195C25C2411yescharacteristic
196C25C2411yescharacteristic
197C22×D4—24no—
198C22×D4—24no—
199C22×D4—24no—
200C22×D4—24no—
201C22×D4—24no—
202C22×D4—24no—
203C22×D4—24no—
204C22×D4—24no—
205C22×D4—24no—
206C22×D4—42no—
207C22×D4—42no—
208C22×D4—42no—
209C22×D4—42no—
210C22×D4—416no—
211C22×D4—432no—
212C22×D4—432no—
213C22×D4—416no—
214C22×D4—416no—
215C22×D4#4118yes—
216C23×C4—24no—
217C23×C4—22no—
218C23×C4—22no—
219C23×C4—22no—
220C23×C4—22no—
221C23×C4—24no—
222C23×C4—24no—
223C23×C4—24no—
224C23×C4—22no—
225C23×C4—24no—
226C23×C4—24no—
227C23×C4—24no—
228C23×C4—24no—
229C23×C4—24no—
230C23×C4—44no—
231C23×C4—41no—
232C23×C4—41no—
233C23×C4—42no—
234C23×C4—44no—
235C23×C4—44no—
236C23×C4—44no—
237C23×C4—44no—
238C23×C4C2×D414yes—
239C23×C4C2×D414yes—
240C23×C4C2412yes—
241C23×C4C2412yes—
242C23×C4C2414yes—
243C23×C4C2414yes—
244C23×C4C2414yes—
245C23×C4C2414yes—
246C23×C4C2411yescharacteristic
247C23×C4C2411yescharacteristic
248C23×C4C2411yescharacteristic
249C23×C4C2411yescharacteristic
250C23×C4C2412yes—
251#123—432no—
252#117—416no—
253C2×C4⋊C4—24no—
254C2×C4⋊C4—24no—
255C2×C4⋊C4—24no—
256C2×C4⋊C4—24no—
257C2×C4⋊C4—24no—
258C2×C4⋊C4—24no—
259C2×C4⋊C4—42no—
260C2×C4⋊C4—42no—
261C2×C4⋊C4—42no—
262C2×C4⋊C4—42no—
263C2×C4⋊C4—42no—
264C2×C4⋊C4—44no—
265C2×C4⋊C4—42no—
266C2×C4⋊C4—42no—
267C2×C4⋊C4—416no—
268C2×C4⋊C4—44no—
269C2×C4⋊C4—44no—
270C2×C4⋊C4—44no—
271C2×C22⋊C4—28no—
272C2×C22⋊C4—28no—
273C2×C22⋊C4—24no—
274C2×C22⋊C4—22no—
275C2×C22⋊C4—22no—
276C2×C22⋊C4—24no—
277C2×C22⋊C4—24no—
278C2×C22⋊C4—24no—
279C2×C22⋊C4—24no—
280C2×C22⋊C4—28no—
281C2×C22⋊C4—28no—
282C2×C22⋊C4—24no—
283C2×C22⋊C4—24no—
284C2×C22⋊C4—24no—
285C2×C22⋊C4—24no—
286C2×C22⋊C4—24no—
287C2×C22⋊C4—24no—
288C2×C22⋊C4—24no—
289C2×C22⋊C4—24no—
290C2×C22⋊C4—24no—
291C2×C22⋊C4—24no—
292C2×C22⋊C4—28no—
293C2×C22⋊C4—28no—
294C2×C22⋊C4—24no—
295C2×C22⋊C4—24no—
296C2×C22⋊C4—416no—
297C2×C22⋊C4—41no—
298C2×C22⋊C4—41no—
299C2×C22⋊C4—41no—
300C2×C22⋊C4—41no—
301C2×C22⋊C4—41no—
302C2×C22⋊C4—41no—
303C2×C22⋊C4—41no—
304C2×C22⋊C4—41no—
305C2×C22⋊C4—44no—
306C2×C22⋊C4—44no—
307C2×C22⋊C4—42no—
308C2×C22⋊C4—42no—
309C2×C22⋊C4—42no—
310C2×C22⋊C4—432no—
311C2×C22⋊C4—44no—
312C2×C22⋊C4—44no—
313C2×C22⋊C4—44no—
314C2×C22⋊C4—44no—
315C2×C22⋊C4—44no—
316C2×C22⋊C4—44no—
317C2×C22⋊C4—44no—
318C2×C22⋊C4—44no—
319C2×C22⋊C4—44no—
320C2×C22⋊C4—44no—
321C2×C22⋊C4—44no—
322C2×C22⋊C4—44no—
323C2×C22⋊C4—44no—
324C2×C22⋊C4—44no—
325C2×C22⋊C4—44no—
326C2×C22⋊C4—44no—
327C2×C22⋊C4—44no—
328C2×C22⋊C4—44no—
329C2×C22⋊C4—44no—
330C2×C22⋊C4C2×D414yes—
331C2×C22⋊C4C2×D414yes—
332C2×C22⋊C4C2×D414yes—
333C2×C22⋊C4C2×D414yes—
334C2×C42—42no—
335C2×C42—44no—
336#95—24no—
337#95—24no—
338#95—28no—
339#95—28no—
340#95—24no—
341#95—24no—
342#95—28no—
343#95—44no—
344#95—44no—
345#95—44no—
346#95—44no—
347#95—44no—
348#95—42no—
349#95—42no—
350#95—44no—
351#95—44no—
352#95—44no—
353#95—44no—
354#95—44no—
355#95—44no—
356#95—44no—
357C24—22no—
358C24—22no—
359C24—24no—
360C24—22no—
361C24—21no—
362C24—21no—
363C24—22no—
364C24—22no—
365C24—24no—
366C24—28no—
367C24—22no—
368C24—22no—
369C24—22no—
370C24—22no—
371C24—24no—
372C24—22no—
373C24—22no—
374C24—22no—
375C24—22no—
376C24—21no—
377C24—21no—
378C24—22no—
379C24—22no—
380C24—24no—
381C24—24no—
382C24—24no—
383C24—24no—
384C24—28no—
385C24—216no—
386C24—44no—
387C24—48no—
388C24—48no—
389C24—44no—
390C24—416no—
391C24—48no—
392C24—48no—
393C24—416no—
394C24—416no—
395C24—44no—
396C24—48no—
397C24—44no—
398C24—44no—
399C24—48no—
400C24—44no—
401C24—44no—
402C24—44no—
403C24—88no—
404C24—84no—
405C24—84no—
406C24—88no—
407C24—84no—
408C24—88no—
409C24—84no—
410C24—84no—
411C24—88no—
412C24—84no—
413C24—84no—
414C24—88no—
415C24C22×D412yes—
416C24C22×D412yes—
417C24C22×D412yes—
418C24C2×#4114yes—
419C24C2×#4114yes—
420C24H(5,𝔽2)14yes—
421C24H(5,𝔽2)12yes—
422C24H(5,𝔽2)12yes—
423C24H(5,𝔽2)14yes—
424C24C2511yescharacteristic
425C2×D4—216no—
426C2×D4—216no—
427C2×D4—216no—
428C2×D4—48no—
429C2×D4—48no—
430C2×D4—48no—
431C2×D4—48no—
432C2×D4—48no—
433C2×D4—48no—
434C2×D4—4128no—
435C2×D4—48no—
436C2×D4—48no—
437C2×D4—48no—
438C2×D4—48no—
439C2×D4—48no—
440C22×C4—28no—
441C22×C4—28no—
442C22×C4—216no—
443C22×C4—22no—
444C22×C4—22no—
445C22×C4—22no—
446C22×C4—22no—
447C22×C4—21no—
448C22×C4—21no—
449C22×C4—22no—
450C22×C4—22no—
451C22×C4—22no—
452C22×C4—21no—
453C22×C4—22no—
454C22×C4—21no—
455C22×C4—21no—
456C22×C4—21no—
457C22×C4—21no—
458C22×C4—21no—
459C22×C4—22no—
460C22×C4—22no—
461C22×C4—24no—
462C22×C4—24no—
463C22×C4—24no—
464C22×C4—24no—
465C22×C4—22no—
466C22×C4—22no—
467C22×C4—24no—
468C22×C4—24no—
469C22×C4—22no—
470C22×C4—22no—
471C22×C4—24no—
472C22×C4—24no—
473C22×C4—24no—
474C22×C4—22no—
475C22×C4—24no—
476C22×C4—24no—
477C22×C4—24no—
478C22×C4—24no—
479C22×C4—24no—
480C22×C4—24no—
481C22×C4—24no—
482C22×C4—24no—
483C22×C4—24no—
484C22×C4—24no—
485C22×C4—24no—
486C22×C4—24no—
487C22×C4—22no—
488C22×C4—24no—
489C22×C4—24no—
490C22×C4—24no—
491C22×C4—24no—
492C22×C4—24no—
493C22×C4—24no—
494C22×C4—24no—
495C22×C4—24no—
496C22×C4—24no—
497C22×C4—24no—
498C22×C4—24no—
499C22×C4—24no—
500C22×C4—24no—
501C22×C4—48no—
502C22×C4—44no—
503C22×C4—48no—
504C22×C4—48no—
505C22×C4—48no—
506C22×C4—48no—
507C22×C4—44no—
508C22×C4—44no—
509C22×C4—48no—
510C22×C4—44no—
511C22×C4—44no—
512C22×C4—48no—
513C22×C4—48no—
514C22×C4—48no—
515C22×C4—48no—
516C22×C4—48no—
517C22×C4—48no—
518C22×C4—88no—
519C22×C4—88no—
520C22×C4—88no—
521C22×C4—88no—
522C22×C4C22×D412yes—
523C22×C4C22×D412yes—
524C22×C4C22×D412yes—
525C22×C4C22×D412yes—
526C22×C4C2×#4114yes—
527C4⋊C4—48no—
528C4⋊C4—48no—
529C4⋊C4—48no—
530C4⋊C4—48no—
531C4⋊C4—48no—
532C4⋊C4—88no—
533C22⋊C4—44no—
534C22⋊C4—44no—
535C22⋊C4—44no—
536C22⋊C4—44no—
537C22⋊C4—48no—
538C22⋊C4—48no—
539C22⋊C4—44no—
540C22⋊C4—416no—
541C22⋊C4—44no—
542C22⋊C4—416no—
543C22⋊C4—48no—
544C22⋊C4—48no—
545C22⋊C4—48no—
546C22⋊C4—84no—
547C22⋊C4—84no—
548C22⋊C4—84no—
549C22⋊C4—88no—
550C22⋊C4—88no—
551C22⋊C4—88no—
552C22⋊C4—88no—
553C22⋊C4—88no—
554C22⋊C4—88no—
555C42—48no—
556C23—22no—
557C23—22no—
558C23—24no—
559C23—28no—
560C23—28no—
561C23—24no—
562C23—24no—
563C23—24no—
564C23—24no—
565C23—28no—
566C23—28no—
567C23—22no—
568C23—22no—
569C23—24no—
570C23—24no—
571C23—28no—
572C23—28no—
573C23—24no—
574C23—24no—
575C23—22no—
576C23—22no—
577C23—22no—
578C23—24no—
579C23—24no—
580C23—24no—
581C23—24no—
582C23—24no—
583C23—28no—
584C23—28no—
585C23—416no—
586C23—432no—
587C23—42no—
588C23—41no—
589C23—44no—
590C23—41no—
591C23—42no—
592C23—42no—
593C23—44no—
594C23—416no—
595C23—42no—
596C23—42no—
597C23—42no—
598C23—42no—
599C23—42no—
600C23—416no—
601C23—42no—
602C23—41no—
603C23—42no—
604C23—42no—
605C23—44no—
606C23—44no—
607C23—44no—
608C23—44no—
609C23—41no—
610C23—42no—
611C23—44no—
612C23—42no—
613C23—42no—
614C23—44no—
615C23—44no—
616C23—44no—
617C23—44no—
618C23—42no—
619C23—42no—
620C23—44no—
621C23—44no—
622C23—44no—
623C23—44no—
624C23—44no—
625C23—88no—
626C23—816no—
627C23—832no—
628C23—816no—
629C23—816no—
630C23—816no—
631C23—88no—
632C23—816no—
633C23—832no—
634C23—816no—
635C23—816no—
636C23—88no—
637C23#53414yes—
638C23#53514yes—
639C23#53818yes—
640C23#54618yes—
641C23#55114yes—
642C23H(3,𝔽4)14yes—
643C23C23×D411yescharacteristic
644C23C22×#4112yes—
645C23C2×H(5,𝔽2)11yescharacteristic
646C23C2×H(5,𝔽2)11yescharacteristic
647C23C2×H(5,𝔽2)12yes—
648C23C2×H(5,𝔽2)12yes—
649C23#58512yes—
650C23#58514yes—
651D4—432no—
652D4—432no—
653C2×C4—22no—
654C2×C4—22no—
655C2×C4—22no—
656C2×C4—22no—
657C2×C4—24no—
658C2×C4—24no—
659C2×C4—24no—
660C2×C4—24no—
661C2×C4—24no—
662C2×C4—24no—
663C2×C4—24no—
664C2×C4—416no—
665C2×C4—416no—
666C2×C4—42no—
667C2×C4—42no—
668C2×C4—42no—
669C2×C4—42no—
670C2×C4—416no—
671C2×C4—42no—
672C2×C4—41no—
673C2×C4—41no—
674C2×C4—41no—
675C2×C4—41no—
676C2×C4—42no—
677C2×C4—42no—
678C2×C4—42no—
679C2×C4—42no—
680C2×C4—42no—
681C2×C4—44no—
682C2×C4—44no—
683C2×C4—44no—
684C2×C4—42no—
685C2×C4—42no—
686C2×C4—44no—
687C2×C4—44no—
688C2×C4—42no—
689C2×C4—42no—
690C2×C4—44no—
691C2×C4—42no—
692C2×C4—42no—
693C2×C4—44no—
694C2×C4—44no—
695C2×C4—44no—
696C2×C4—44no—
697C2×C4—44no—
698C2×C4—44no—
699C2×C4—44no—
700C2×C4—44no—
701C2×C4—44no—
702C2×C4—44no—
703C2×C4—44no—
704C2×C4—44no—
705C2×C4—44no—
706C2×C4—44no—
707C2×C4—44no—
708C2×C4—44no—
709C2×C4—44no—
710C2×C4—44no—
711C2×C4—44no—
712C2×C4—44no—
713C2×C4—44no—
714C2×C4—44no—
715C2×C4—44no—
716C2×C4—44no—
717C2×C4—44no—
718C2×C4—44no—
719C2×C4—816no—
720C2×C4—816no—
721C22—216no—
722C22—28no—
723C22—24no—
724C22—24no—
725C22—28no—
726C22—28no—
727C22—28no—
728C22—24no—
729C22—28no—
730C22—48no—
731C22—44no—
732C22—42no—
733C22—42no—
734C22—44no—
735C22—44no—
736C22—48no—
737C22—42no—
738C22—42no—
739C22—44no—
740C22—44no—
741C22—42no—
742C22—44no—
743C22—44no—
744C22—44no—
745C22—48no—
746C22—832no—
747C22—832no—
748C22—84no—
749C22—84no—
750C22—84no—
751C22—82no—
752C22—82no—
753C22—82no—
754C22—82no—
755C22—82no—
756C22—82no—
757C22#268418yes—
758C22C2×#53411yescharacteristic
759C22C2×#53511yescharacteristic
760C22#344911yescharacteristic
761C22C2×#53812yes—
762C22C2×#54612yes—
763C22C2×#55111yescharacteristic
764C22#348512yes—
765C22#351314yes—
766C22#352114yes—
767C22C2×H(3,𝔽4)11yescharacteristic
768C22#353312yes—
769C22#353312yes—
770C22#353412yes—
771C22#353414yes—
772C22#353412yes—
773C22#356014yes—
774C4—42no—
775C4—42no—
776C4—42no—
777C4—42no—
778C4—44no—
779C4—84no—
780C4—84no—
781C4—84no—
782C4—82no—
783C4—84no—
784C4—82no—
785C2—28no—
786C2—44no—
787C2—84no—
788C2—82no—
789C2#3696511yescharacteristic
790C2#3744011yescharacteristic
791C2#3802312yes—
792C2#3803012yes—
793C2#4075414yes—
794C2#4322012yes—
795C2C2×#268411yescharacteristic
796C2#5253012yes—
subgroupG/H
center, commutator, Frattini, socle, cosocleC24C25
prime radicalC24×D4C22
LCSG ▷ C24 ▷ C1
UCSC1 ◁ C24 ◁ G
LECSG ▷ C24 ▷ C1

Complements

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

NH ≅ G/Ntype
2. C22×#397C2semidirect
3. #17157C2semidirect
4. #16856C2semidirect
5. #16470C2semidirect
6. #16391C2semidirect
7. #15579C2semidirect
8. #15480C2semidirect
9. #15091C2semidirect
10. #14912C2semidirect
11. #14727C2semidirect
12. #14259C2semidirect
13. #14135C2semidirect
14. #13868C2semidirect
18. C22×#117C22semidirect
19. C23×C4⋊C4C22semidirect
27. C2×#397C22semidirect
28. C2×#397C22semidirect
38. C2×#385C22semidirect
39. C2×#381C22semidirect
45. C22×#95C22semidirect
46. C22×#95C22semidirect
47. #1443C22semidirect
48. #1442C22semidirect
49. #1442C22semidirect
50. #1442C22semidirect
51. #1442C22semidirect
52. #1441C22semidirect
53. #1441C22semidirect
55. #1440C22semidirect
56. #1440C22semidirect
57. #1440C22semidirect
59. #1439C22semidirect
60. #1439C22semidirect
61. #1439C22semidirect
62. #1439C22semidirect
63. #1439C22semidirect
64. #1439C22semidirect
65. #1439C22semidirect
69. #1437C22semidirect
70. #1437C22semidirect
71. #1436C22semidirect
73. C22⋊#95C22semidirect
74. C22⋊#95C22semidirect
75. C22⋊#95C22semidirect
76. C22⋊#95C22semidirect

Maximal subgroups

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

subgroupindex
C2×#24052
C22×#3972
#171572
#168562
#164702
#163912
#155792
#154802
#150912
#149122
#147272
#142592
#141352
#138682
#138672