Finite Group Databasebeta

← #6594615

Subgroups — #6594615

Order 512.

1719 conjugacy classes of subgroups.

The subgroup lattice has 778 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#36210C211yesmaximal, characteristic, complemented
2#36182C211yesmaximal, characteristic
3#33258C211yesmaximal, characteristic, complemented
4#33174C211yesmaximal, characteristic, complemented
5#33174C211yesmaximal, characteristic, complemented
6#29192C211yesmaximal, characteristic, complemented
7#29191C211yesmaximal, characteristic, complemented
8#28026C214yesmaximal, complemented
9#27974C211yesmaximal, characteristic, complemented
10#27972C211yesmaximal, characteristic, complemented
11#27892C211yesmaximal, characteristic, complemented
12#27890C211yesmaximal, characteristic, complemented
13#25036C214yesmaximal, complemented
14#24794C214yesmaximal, complemented
15#23034C214yesmaximal, complemented
16C4×#492C211yesmaximal, characteristic, complemented
17#20824C211yesmaximal, characteristic, complemented
18#20800C211yesmaximal, characteristic, complemented
19C4×#436C211yesmaximal, characteristic, complemented
20C2×#553—21no—
21C2×#492C2211yescharacteristic
22C2×#468C2214yes—
23C2×#468C2214yes—
24C2×C4×SD16C2214yes—
25C2×#436C2212yes—
26C2×#428C2214yes—
27C2×C4×M16C2211yescharacteristic
28C2×C4×M16C2211yescharacteristic
29#2859C2211yescharacteristic
30#2859C2211yescharacteristic
31#2857C2211yescharacteristic
32#2857C2211yescharacteristic
33#2856C2211yescharacteristic
34#2856C2211yescharacteristic
35#2566—21no—
36#2562—21no—
37#2514C2212yes—
38#2512—21no—
39#2512C2212yes—
40#2509—21no—
41#2504—21no—
42#2500—21no—
43#2495—21no—
44#2494—21no—
45#2494—21no—
46#2485—21no—
47#2422—21no—
48#2422C2212yes—
49#2421C2212yes—
50#2416—21no—
51#2416C2212yes—
52#2415C2212yes—
53#2370—21no—
54#2362C2212yes—
55#2361—21no—
56#2361C2212yes—
57#2347—21no—
58C4×C4⋊Q8C2211yescharacteristic
59C4×#127C2211yescharacteristic
60#2285C2211yescharacteristic
61#2285C2211yescharacteristic
62#2285C2211yescharacteristic
63C2×#384C2211yescharacteristic
64C42×D4C2211yescharacteristic
65#2073C2214yes—
66#2072C2214yes—
67#2067C2214yes—
68#2066C2214yes—
69#2036C2214yes—
70#2034C2214yes—
71#1973C2214yes—
72#1973C2214yes—
73#1968C2214yes—
74#1957C2211yescharacteristic
75#1957C2211yescharacteristic
76#1957C2211yescharacteristic
77#1956C2211yescharacteristic
78#1956C2211yescharacteristic
79#1956C2211yescharacteristic
80#1942C2214yes—
81#1942C2214yes—
82#1928C2214yes—
83#1926C2214yes—
84#1875C2214yes—
85#1872C2214yes—
86#1865C2214yes—
87#1862C2214yes—
88#1847C2214yes—
89#1845C2211yescharacteristic
90#1845C2211yescharacteristic
91#1845C2211yescharacteristic
92#1844C2211yescharacteristic
93#1844C2211yescharacteristic
94#1834C2211yescharacteristic
95#1834C2211yescharacteristic
96#1834C2211yescharacteristic
97#1834C2211yescharacteristic
98#1809C2214yes—
99#1776C2214yes—
100#1770C2212yes—
101C4×C4⋊C8C2211yescharacteristic
102#1753C2212yes—
103#1753C2212yes—
104C4×C22⋊C8C2211yescharacteristic
105C4×C22⋊C8C2211yescharacteristic
106C42×C8C2211yescharacteristic
107C22×SD16C2314yes—
108C22×M16C2312yes—
109C22×M16C2312yes—
110#553—48no—
111C2×C4⋊Q8C2311yescharacteristic
112C2×#127C2311yescharacteristic
113C2×#126—22no—
114C2×#125—21no—
115C2×#125—21no—
116C2×#123—22no—
117C2×C22⋊Q8C2312yes—
118C2×C22⋊Q8C2312yes—
119C2×#121—22no—
120C2×#121—21no—
121C2×#121—21no—
122C2×#121—21no—
123C2×#121—21no—
124C2×#121C2312yes—
125C2×#121C2312yes—
126C2×C4×Q8C2312yes—
127C2×C4×D4—22no—
128C2×C4×D4—21no—
129C2×C4×D4—21no—
130C2×C4×D4D411yescharacteristic
131C2×C4×D4D411yescharacteristic
132C2×C4×D4C2312yes—
133C2×C4×D4C2311yescharacteristic
134C2×#117—21no—
135C2×#117—21no—
136C2×#117C2312yes—
137C22×C4⋊C4—21no—
138C22×C4⋊C4—21no—
139C22×C4⋊C4C2312yes—
140C22×C42C2311yescharacteristic
141C22×C42C2311yescharacteristic
142#492—24no—
143#468—216no—
144#468—48no—
145C4×SD16—48no—
146#436—28no—
147#428—48no—
148C2×#107C2314yes—
149C2×#107C2314yes—
150C2×#107C2314yes—
151C2×#106C2314yes—
152C2×#106C2314yes—
153C2×C4⋊C8C2312yes—
154C2×#103C2314yes—
155C2×#103C2314yes—
156C2×#103C2314yes—
157C2×#102C2314yes—
158C2×#102C2314yes—
159C2×#102C2314yes—
160C2×C22⋊C8C2312yes—
161C2×C22⋊C8C2312yes—
162C4×M16—24no—
163C4×M16—24no—
164C2×#97C2312yes—
165C2×#97C2312yes—
166C2×C4×C8C2311yescharacteristic
167C2×C4×C8C2311yescharacteristic
168C2×C4×C8C2311yescharacteristic
169C2×C4×C8C2312yes—
170C2×C4×C8C2312yes—
171C2×C4×C8C2311yescharacteristic
172#401—22no—
173#400—22no—
174#400—22no—
175#397—22no—
176#397—22no—
177#397—22no—
178#397—22no—
179#396—22no—
180#396—22no—
181#394—22no—
182#394—22no—
183#394—22no—
184#391C2312yes—
185#391C2312yes—
186#391C2312yes—
187#390—21no—
188#390—21no—
189#390—21no—
190#390—21no—
191#390—21no—
192#390—21no—
193#390C2312yes—
194#390C2312yes—
195#390C2312yes—
196#389—22no—
197#389—21no—
198#389—21no—
199#389—21no—
200#389—21no—
201#389—21no—
202#389—21no—
203#389—21no—
204#389—21no—
205#389—21no—
206#389—21no—
207#389C2312yes—
208#389C2312yes—
209#389C2312yes—
210#389C2312yes—
211#388—22no—
212#388—22no—
213#388—22no—
214#388—22no—
215#388—22no—
216#388—22no—
217#387—22no—
218#387—22no—
219#387—22no—
220#386—22no—
221#386—22no—
222#385—22no—
223#385—22no—
224#384—21no—
225#384—21no—
226#384C2311yescharacteristic
227#384C2311yescharacteristic
228#384C2312yes—
229#384C2311yescharacteristic
230#384C2311yescharacteristic
231#384C2311yescharacteristic
232#384C2311yescharacteristic
233#383—22no—
234#382—21no—
235#382—21no—
236#382—21no—
237#382—21no—
238#382C2312yes—
239#380—21no—
240#380—21no—
241#380—21no—
242#380—21no—
243#380—21no—
244#380—21no—
245#380—21no—
246#380—21no—
247#380C2312yes—
248#380C2312yes—
249C4×C4⋊C4—21no—
250C4×C4⋊C4—21no—
251C4×C4⋊C4—21no—
252C4×C4⋊C4—21no—
253C4×C4⋊C4—21no—
254C4×C4⋊C4—21no—
255C4×C4⋊C4—22no—
256C4×C4⋊C4D411yescharacteristic
257C4×C4⋊C4D411yescharacteristic
258C4×C4⋊C4C2312yes—
259C4×C4⋊C4C2312yes—
260C4×C4⋊C4C2311yescharacteristic
261C4×C22⋊C4D411yescharacteristic
262C4×C22⋊C4D411yescharacteristic
263C4×C22⋊C4D411yescharacteristic
264C4×C22⋊C4D411yescharacteristic
265C4×C22⋊C4C2311yescharacteristic
266C4×C22⋊C4C2311yescharacteristic
267C43C2311yescharacteristic
268#340C2314yes—
269#340C2314yes—
270#340C2314yes—
271#340C2314yes—
272#336C2312yes—
273#336C2312yes—
274#336C2312yes—
275C22×Q8C2412yes—
276C22×D4—22no—
277C22×D4—22no—
278C22×D4—21no—
279C22×D4—21no—
280C22×D4C2×D411yescharacteristic
281C22×D4C2412yes—
282C23×C4—22no—
283C23×C4—22no—
284C23×C4C2×D411yescharacteristic
285C23×C4C2×D411yescharacteristic
286C23×C4C2×D411yescharacteristic
287C23×C4C2×D411yescharacteristic
288C23×C4C2411yescharacteristic
289C23×C4C2411yescharacteristic
290C2×SD16—28no—
291C2×SD16—28no—
292C2×SD16—28no—
293C2×M16—24no—
294C2×M16—24no—
295C2×M16—24no—
296C2×M16—24no—
297C2×M16—24no—
298C2×M16#4118yes—
299C22×C8C2412yes—
300C22×C8C2412yes—
301C22×C8C2412yes—
302C22×C8C2412yes—
303C4⋊Q8—22no—
304C4⋊Q8—22no—
305#127—22no—
306#127—22no—
307#126—48no—
308#125—44no—
309#125—44no—
310#123—48no—
311C22⋊Q8—28no—
312C22⋊Q8—44no—
313#121—28no—
314#121—44no—
315#121—44no—
316#121—44no—
317#121—48no—
318#121—44no—
319#121—82no—
320C4×Q8—44no—
321C4×D4—24no—
322C4×D4—24no—
323C4×D4—42no—
324C4×D4—44no—
325C4×D4—48no—
326C4×D4—44no—
327C4×D4—82no—
328#117—44no—
329#117—44no—
330#117—44no—
331C2×C4⋊C4—21no—
332C2×C4⋊C4—21no—
333C2×C4⋊C4—21no—
334C2×C4⋊C4—21no—
335C2×C4⋊C4—22no—
336C2×C4⋊C4—21no—
337C2×C4⋊C4—21no—
338C2×C4⋊C4—21no—
339C2×C4⋊C4—22no—
340C2×C4⋊C4—22no—
341C2×C4⋊C4—21no—
342C2×C4⋊C4—22no—
343C2×C4⋊C4—21no—
344C2×C4⋊C4—21no—
345C2×C4⋊C4—22no—
346C2×C4⋊C4—22no—
347C2×C4⋊C4—21no—
348C2×C4⋊C4—21no—
349C2×C4⋊C4—21no—
350C2×C4⋊C4—21no—
351C2×C4⋊C4—22no—
352C2×C4⋊C4—22no—
353C2×C4⋊C4—22no—
354C2×C4⋊C4—22no—
355C2×C4⋊C4—44no—
356C2×C4⋊C4—44no—
357C2×C4⋊C4—82no—
358C2×C4⋊C4C2×D411yescharacteristic
359C2×C4⋊C4C2×D411yescharacteristic
360C2×C4⋊C4C2×D411yescharacteristic
361C2×C4⋊C4C2412yes—
362C2×C4⋊C4C2412yes—
363C2×C4⋊C4C2412yes—
364C2×C4⋊C4C2412yes—
365C2×C4⋊C4C2412yes—
366C2×C4⋊C4C2412yes—
367C2×C22⋊C4—22no—
368C2×C22⋊C4—22no—
369C2×C22⋊C4—22no—
370C2×C22⋊C4—22no—
371C2×C22⋊C4—22no—
372C2×C22⋊C4—22no—
373C2×C22⋊C4—22no—
374C2×C22⋊C4—22no—
375C2×C22⋊C4—22no—
376C2×C22⋊C4—22no—
377C2×C22⋊C4—22no—
378C2×C22⋊C4—22no—
379C2×C22⋊C4—22no—
380C2×C22⋊C4—22no—
381C2×C22⋊C4C2×D411yescharacteristic
382C2×C22⋊C4C2×D411yescharacteristic
383C2×C22⋊C4C2×D411yescharacteristic
384C2×C22⋊C4C2×D411yescharacteristic
385C2×C22⋊C4C2×D411yescharacteristic
386C2×C22⋊C4C2×D411yescharacteristic
387C2×C42—22no—
388C2×C42—22no—
389C2×C42—22no—
390C2×C42—22no—
391C2×C42—22no—
392C2×C42—22no—
393C2×C42—22no—
394C2×C42—22no—
395C2×C42C2×D411yescharacteristic
396C2×C42C2×D411yescharacteristic
397C2×C42C2×D411yescharacteristic
398C2×C42C2×D411yescharacteristic
399C2×C42C2×D411yescharacteristic
400C2×C42C2×D411yescharacteristic
401C2×C42C2×D411yescharacteristic
402C2×C42C2×D411yescharacteristic
403C2×C42C2411yescharacteristic
404C2×C42C2411yescharacteristic
405C2×C42C2411yescharacteristic
406C2×C42C2411yescharacteristic
407C2×C42C2411yescharacteristic
408#107—28no—
409#107—28no—
410#107—44no—
411#106—28no—
412#106—44no—
413C4⋊C8—24no—
414#103—28no—
415#103—44no—
416#103—44no—
417#102—28no—
418#102—44no—
419#102—44no—
420C22⋊C8—24no—
421C22⋊C8—24no—
422#97—24no—
423#97—24no—
424C4×C8—24no—
425C4×C8—24no—
426C4×C8—22no—
427C4×C8—22no—
428C4×C8—22no—
429C4×C8#4114yes—
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#95C2×D411yescharacteristic
447#95C2×D411yescharacteristic
448#95C2×D411yescharacteristic
449#95C2×D411yescharacteristic
450#95C2×D411yescharacteristic
451#95C2×D411yescharacteristic
452C24—22no—
453C24C22×D411yescharacteristic
454C24C22×D411yescharacteristic
455C2×Q8—24no—
456C2×Q8—22no—
457C2×Q8—24no—
458C2×Q8—22no—
459C2×D4—22no—
460C2×D4—22no—
461C2×D4—24no—
462C2×D4—22no—
463C2×D4—24no—
464C2×D4—22no—
465C2×D4—41no—
466C2×D4—44no—
467C2×D4—44no—
468C2×D4—44no—
469C2×D4—44no—
470C2×D4—42no—
471C2×D4—42no—
472C2×D4—42no—
473C2×D4—42no—
474C2×D4—42no—
475C2×D4—42no—
476C2×D4—82no—
477C2×D4—82no—
478C22×C4—21no—
479C22×C4—22no—
480C22×C4—21no—
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—21no—
495C22×C4—22no—
496C22×C4—21no—
497C22×C4—22no—
498C22×C4—22no—
499C22×C4—22no—
500C22×C4—22no—
501C22×C4—22no—
502C22×C4—22no—
503C22×C4—22no—
504C22×C4—44no—
505C22×C4—44no—
506C22×C4—82no—
507C22×C4—82no—
508C22×C4—82no—
509C22×C4—82no—
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×D411yescharacteristic
520C22×C4C22×D411yescharacteristic
521C22×C4C22×D411yescharacteristic
522C22×C4C2×#4114yes—
523C22×C4C2511yescharacteristic
524SD16—416no—
525M16—216no—
526M16—48no—
527C2×C8—22no—
528C2×C8—22no—
529C2×C8—22no—
530C2×C8—22no—
531C2×C8—22no—
532C2×C8—22no—
533C2×C8—22no—
534C2×C8—22no—
535C2×C8C2×#4114yes—
536C2×C8C2×#4114yes—
537C2×C8C2×#4114yes—
538C2×C8H(5,𝔽2)14yes—
539C4⋊C4—22no—
540C4⋊C4—22no—
541C4⋊C4—24no—
542C4⋊C4—24no—
543C4⋊C4—24no—
544C4⋊C4—24no—
545C4⋊C4—24no—
546C4⋊C4—24no—
547C4⋊C4—41no—
548C4⋊C4—44no—
549C4⋊C4—44no—
550C4⋊C4—42no—
551C4⋊C4—42no—
552C4⋊C4—42no—
553C4⋊C4—42no—
554C4⋊C4—42no—
555C4⋊C4—44no—
556C4⋊C4—44no—
557C4⋊C4—44no—
558C4⋊C4—44no—
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—
572C22⋊C4—22no—
573C22⋊C4—22no—
574C22⋊C4—22no—
575C22⋊C4—22no—
576C22⋊C4—41no—
577C22⋊C4—41no—
578C22⋊C4—44no—
579C22⋊C4—44no—
580C22⋊C4—44no—
581C22⋊C4—44no—
582C22⋊C4—44no—
583C22⋊C4—44no—
584C22⋊C4—44no—
585C22⋊C4—44no—
586C22⋊C4—82no—
587C22⋊C4—82no—
588C22⋊C4—82no—
589C22⋊C4—82no—
590C22⋊C4—82no—
591C22⋊C4—82no—
592C42—22no—
593C42—22no—
594C42—22no—
595C42—22no—
596C42—22no—
597C42—22no—
598C42—22no—
599C42—22no—
600C42—21no—
601C42—21no—
602C42—22no—
603C42—21no—
604C42—21no—
605C42—44no—
606C42—44no—
607C42—82no—
608C42—82no—
609C42AGL(1,ℤ/8)14yes—
610C42C2×#4112yes—
611C422−1+412yes—
612C23—21no—
613C23—21no—
614C23—21no—
615C23—21no—
616C23—21no—
617C23—21no—
618C23—21no—
619C23—21no—
620C23—21no—
621C23—21no—
622C23—21no—
623C23—21no—
624C23—21no—
625C23—42no—
626C23—42no—
627C23—42no—
628C23—42no—
629C23—42no—
630C23—42no—
631C23—42no—
632C23#53212yes—
633C23C23×D411yescharacteristic
634Q8—44no—
635Q8—44no—
636D4—44no—
637D4—44no—
638D4—44no—
639D4—88no—
640D4—84no—
641D4—84no—
642D4—164no—
643C2×C4—21no—
644C2×C4—21no—
645C2×C4—21no—
646C2×C4—21no—
647C2×C4—21no—
648C2×C4—21no—
649C2×C4—24no—
650C2×C4—24no—
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—21no—
663C2×C4—21no—
664C2×C4—21no—
665C2×C4—21no—
666C2×C4—21no—
667C2×C4—21no—
668C2×C4—21no—
669C2×C4—21no—
670C2×C4—21no—
671C2×C4—21no—
672C2×C4—44no—
673C2×C4—44no—
674C2×C4—44no—
675C2×C4—44no—
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—42no—
692C2×C4—42no—
693C2×C4—42no—
694C2×C4—42no—
695C2×C4—42no—
696C2×C4—42no—
697C2×C4—42no—
698C2×C4—42no—
699C2×C4—164no—
700C2×C4—164no—
701C2×C4#53212yes—
702C2×C4#54712yes—
703C2×C4#54712yes—
704C2×C4C2×AGL(1,ℤ/8)12yes—
705C2×C4C2×AGL(1,ℤ/8)12yes—
706C2×C4C2×AGL(1,ℤ/8)12yes—
707C2×C4#57512yes—
708C2×C4#57712yes—
709C2×C4#57812yes—
710C2×C4C22×#4111yescharacteristic
711C2×C4C22×#4112yes—
712C2×C4C2×H(5,𝔽2)12yes—
713C2×C4C2×2−1+411yescharacteristic
714C8—24no—
715C8—42no—
716C8—42no—
717C8#55318yescomplemented
718C22—22no—
719C22—22no—
720C22—22no—
721C22—41no—
722C22—41no—
723C22—41no—
724C22—41no—
725C22—41no—
726C22—41no—
727C22—41no—
728C22—41no—
729C22—41no—
730C22—41no—
731C22—41no—
732C22—82no—
733C22—82no—
734C22—82no—
735C22—82no—
736C22—82no—
737C22—82no—
738C22—82no—
739C22C2×#53211yescharacteristic
740C22C2×#54711yescharacteristic
741C22#349811yescharacteristic
742C22C22×AGL(1,ℤ/8)11yescharacteristic
743C22C2×#57511yescharacteristic
744C22C2×#57711yescharacteristic
745C22C2×#57811yescharacteristic
746C4—22no—
747C4—22no—
748C4—22no—
749C4—41no—
750C4—41no—
751C4—41no—
752C4—41no—
753C4—41no—
754C4—41no—
755C4—41no—
756C4—82no—
757C4—82no—
758C4—82no—
759C4—82no—
760C4—82no—
761C4—82no—
762C4—82no—
763C4#335114yes—
764C4#335314yes—
765C4C2×#55312yes—
766C4#351112yes—
767C2—42no—
768C2—81no—
769C2—162no—
770C2#3618211yescharacteristic
771C2#6070011yescharacteristic
772C2#6072311yescharacteristic
773C2C2×#335111yescharacteristic
774C2C2×#335311yescharacteristic
775C2#6242111yescharacteristic
776C2#6242511yescharacteristic
subgroupG/H
center, socleC23C23×D4
commutator, Frattini, cosocleC22×C4C25
prime radical#36182C2
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
1. #36210C2semidirect
3. #33258C2semidirect
4. #33174C2semidirect
5. #33174C2semidirect
6. #29192C2semidirect
7. #29191C2semidirect
8. #28026C2semidirect
9. #27974C2semidirect
10. #27972C2semidirect
11. #27892C2semidirect
12. #27890C2semidirect
13. #25036C2semidirect
14. #24794C2semidirect
15. #23034C2semidirect
16. C4×#492C2semidirect
17. #20824C2semidirect
18. #20800C2semidirect
19. C4×#436C2semidirect
717. C8#553semidirect

Maximal subgroups

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

subgroupindex
#362102
#361822
#332582
#331742
#291922
#291912
#280262
#279742
#279722
#278922
#278902
#250362
#247942
#230342
C4×#4922
#208242
#208002
C4×#4362