Finite Group Databasebeta

← #6498103

Subgroups — #6498103

Order 512.

1662 conjugacy classes of subgroups.

The subgroup lattice has 788 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#36645C211yesmaximal, characteristic, complemented
2#34026C211yesmaximal, characteristic
3#33153C212yesmaximal, complemented
4#32958C212yesmaximal
5#29984C211yesmaximal, characteristic, complemented
6#29981C211yesmaximal, characteristic, complemented
7#29869C211yesmaximal, characteristic, complemented
8#29868C211yesmaximal, characteristic, complemented
9#29580C212yesmaximal, complemented
10#29579C212yesmaximal, complemented
11#29390C212yesmaximal, complemented
12#29388C212yesmaximal, complemented
13#29304C212yesmaximal, complemented
14#29113C212yesmaximal
15#27612C212yesmaximal, complemented
16#27584C212yesmaximal
17#22119C212yesmaximal, complemented
18#22117C212yesmaximal, complemented
19#20778C211yesmaximal, characteristic, complemented
20C2×#533—21no—
21C2×C4×#41C2211yescharacteristic
22C2×#477C2212yes—
23C2×#476C2212yes—
24#2868C2211yescharacteristic
25#2868C2211yescharacteristic
26#2862—21no—
27#2859—21no—
28#2859C2212yes—
29#2857—21no—
30#2857—21no—
31#2857C2212yes—
32#2857C2212yes—
33C4×C4⋊Q8—21no—
34C4×C4⋊Q8—21no—
35C4×C4⋊Q8C2212yes—
36C4×C4⋊Q8C2212yes—
37#2298—21no—
38#2298—21no—
39#2297C2211yescharacteristic
40#2297C2211yescharacteristic
41#2296C2211yescharacteristic
42#2296C2211yescharacteristic
43#2295C2211yescharacteristic
44#2295C2211yescharacteristic
45#2295C2211yescharacteristic
46#2295C2211yescharacteristic
47#2293C2211yescharacteristic
48#2293C2211yescharacteristic
49#2293C2211yescharacteristic
50#2293C2211yescharacteristic
51#2290—21no—
52#2290—21no—
53#2290—21no—
54#2290—21no—
55#2285—21no—
56#2285C2212yes—
57C4×#117—21no—
58C4×#117—21no—
59C4×#117C2211yescharacteristic
60C2×C43C2211yescharacteristic
61#2100C2212yes—
62#2100C2212yes—
63#2095C2212yes—
64#2094C2212yes—
65#2084C2212yes—
66#2084C2212yes—
67#2083C2212yes—
68#2083C2212yes—
69#2072C2212yes—
70#2072C2212yes—
71#2071C2212yes—
72#2071C2212yes—
73#2058C2212yes—
74#2057C2212yes—
75#2024C2212yes—
76#2023C2212yes—
77#1987C2212yes—
78#1987C2212yes—
79#1948C2212yes—
80#1947C2212yes—
81#1944C2214yes—
82#1943C2214yes—
83#1936C2214yes—
84#1935C2214yes—
85#1927C2214yes—
86#1925C2214yes—
87#1920C2214yes—
88#1919C2214yes—
89#1918C2214yes—
90#1918C2214yes—
91#1865C2214yes—
92#1862C2214yes—
93#1854C2214yes—
94#1854C2214yes—
95#1839C2212yes—
96#1831C2211yescharacteristic
97#1831C2211yescharacteristic
98#1825C2214yes—
99#1817C2212yes—
100#1803C2212yes—
101#1802C2212yes—
102#1797C2212yes—
103#1788C2214yes—
104#1767C2212yes—
105#1749C2212yes—
106#1745C2212yes—
107C22×#41C2311yescharacteristic
108#533—48no—
109C2×C4⋊Q8—21no—
110C2×C4⋊Q8—21no—
111C2×C4⋊Q8—21no—
112C2×C4⋊Q8—21no—
113C2×C4⋊Q8C2312yes—
114C2×C4⋊Q8C2312yes—
115C2×#125—22no—
116C2×C22⋊Q8—22no—
117C2×C22⋊Q8—22no—
118C4×#41—24no—
119C4×#41—24no—
120C2×C4×Q8—22no—
121C2×C4×Q8—22no—
122C2×C4×Q8C2311yescharacteristic
123C2×C4×Q8C2311yescharacteristic
124C2×C4×D4—21no—
125C2×C4×D4—21no—
126C2×C4×D4C2311yescharacteristic
127C2×C4×D4C2311yescharacteristic
128C2×#117—22no—
129C2×#117—21no—
130C2×#117—21no—
131C2×#117—21no—
132C2×#117—21no—
133C2×#117—21no—
134C2×#117C2311yescharacteristic
135C2×#117C2311yescharacteristic
136C2×#117C2311yescharacteristic
137C22×C42—21no—
138C22×C42D411yescharacteristic
139C22×C42D411yescharacteristic
140C22×C42D411yescharacteristic
141C22×C42D411yescharacteristic
142C22×C42C2311yescharacteristic
143C22×C42C2311yescharacteristic
144C22×C42C2311yescharacteristic
145#477—28no—
146#476—28no—
147C2×#107C2314yes—
148C2×#107C2314yes—
149C2×#106C2314yes—
150C2×#106C2314yes—
151C2×C4⋊C8C2312yes—
152C2×C4⋊C8C2312yes—
153C2×#103C2314yes—
154C2×#103C2314yes—
155C2×#102C2314yes—
156C2×#102C2314yes—
157C2×C22⋊C8C2314yes—
158C2×#97C2314yes—
159#391—22no—
160#391—22no—
161#391—22no—
162#391—22no—
163#391C2311yescharacteristic
164#391C2311yescharacteristic
165#391C2311yescharacteristic
166#391C2311yescharacteristic
167#390C2311yescharacteristic
168#390C2311yescharacteristic
169#390C2311yescharacteristic
170#390C2311yescharacteristic
171#389—22no—
172#389—22no—
173#389—22no—
174#389—22no—
175#389—22no—
176#389—22no—
177#389C2314yes—
178#389C2314yes—
179#389C2311yescharacteristic
180#389C2311yescharacteristic
181#389C2311yescharacteristic
182#389C2311yescharacteristic
183#389C2311yescharacteristic
184#389C2311yescharacteristic
185#389C2311yescharacteristic
186#389C2311yescharacteristic
187#388—21no—
188#388—21no—
189#388—21no—
190#388—21no—
191#388—21no—
192#388—21no—
193#388—21no—
194#388—21no—
195#387—21no—
196#387—21no—
197#387—21no—
198#387—21no—
199#387—21no—
200#387—21no—
201#387—21no—
202#387—21no—
203#386—21no—
204#386—21no—
205#386—21no—
206#386—21no—
207#385—21no—
208#385—21no—
209#385—21no—
210#385—21no—
211#384—21no—
212#384—21no—
213#384—21no—
214#384—21no—
215#384C2312yes—
216#384C2312yes—
217#384C2312yes—
218#384C2312yes—
219#382—22no—
220#382—22no—
221#380—22no—
222#380—22no—
223#380—22no—
224#380C2314yes—
225C4×C4⋊C4—22no—
226C4×C4⋊C4—22no—
227C4×C4⋊C4—22no—
228C4×C4⋊C4—21no—
229C4×C4⋊C4—21no—
230C4×C4⋊C4—21no—
231C4×C4⋊C4—21no—
232C4×C4⋊C4—21no—
233C4×C4⋊C4—21no—
234C4×C4⋊C4—21no—
235C4×C4⋊C4—21no—
236C4×C4⋊C4C2314yes—
237C4×C4⋊C4C2311yescharacteristic
238C4×C4⋊C4C2311yescharacteristic
239C4×C4⋊C4C2311yescharacteristic
240C4×C4⋊C4C2311yescharacteristic
241C4×C22⋊C4—21no—
242C4×C22⋊C4—21no—
243C4×C22⋊C4—21no—
244C4×C22⋊C4—21no—
245C4×C22⋊C4—21no—
246C4×C22⋊C4—21no—
247C4×C22⋊C4—21no—
248C4×C22⋊C4—21no—
249C4×C22⋊C4—21no—
250C4×C22⋊C4—21no—
251#376—21no—
252#376—21no—
253#376—21no—
254#376—21no—
255#376—21no—
256C43—21no—
257C43D411yescharacteristic
258C43D411yescharacteristic
259C43D411yescharacteristic
260C43D411yescharacteristic
261C43C2311yescharacteristic
262C43C2311yescharacteristic
263C43C2311yescharacteristic
264C43C2311yescharacteristic
265#340C2314yes—
266#340C2314yes—
267#340C2314yes—
268#340C2314yes—
269#340C2314yes—
270#340C2314yes—
271#340C2314yes—
272#340C2314yes—
273#336C2314yes—
274#336C2312yes—
275#336C2312yes—
276#336C2312yes—
277#336C2312yes—
278#336C2314yes—
279C2×#41—22no—
280C2×#41—22no—
281C2×#41—24no—
282C2×#41—42no—
283C22×Q8—22no—
284C22×Q8—22no—
285C22×Q8C2411yescharacteristic
286C22×D4—21no—
287C22×D4C2411yescharacteristic
288C23×C4—21no—
289C23×C4—21no—
290C23×C4—21no—
291C23×C4C2×D411yescharacteristic
292C23×C4C2×D411yescharacteristic
293C23×C4C2×D411yescharacteristic
294C23×C4C2×D411yescharacteristic
295C23×C4C2×D411yescharacteristic
296C23×C4C2×D411yescharacteristic
297C23×C4C2411yescharacteristic
298C22×C8C2414yes—
299C22×C8C2414yes—
300C4⋊Q8—24no—
301C4⋊Q8—24no—
302C4⋊Q8—44no—
303C4⋊Q8—44no—
304C4⋊Q8—44no—
305C4⋊Q8—44no—
306C4⋊Q8—44no—
307#125—48no—
308C22⋊Q8—48no—
309C22⋊Q8—48no—
310C4×Q8—22no—
311C4×Q8—22no—
312C4×Q8—22no—
313C4×Q8—48no—
314C4×Q8—48no—
315C4×Q8#4114yes—
316C4×D4—28no—
317C4×D4—28no—
318C4×D4—22no—
319C4×D4—22no—
320C4×D4—22no—
321C4×D4#4114yes—
322#117—28no—
323#117—22no—
324#117—22no—
325#117—24no—
326#117—44no—
327#117—44no—
328#117—42no—
329#117—48no—
330#117—44no—
331#117—44no—
332C2×C4⋊C4—21no—
333C2×C4⋊C4—21no—
334C2×C4⋊C4—22no—
335C2×C4⋊C4—22no—
336C2×C4⋊C4—21no—
337C2×C4⋊C4—21no—
338C2×C4⋊C4—21no—
339C2×C4⋊C4—21no—
340C2×C4⋊C4—21no—
341C2×C4⋊C4—21no—
342C2×C4⋊C4—21no—
343C2×C4⋊C4—21no—
344C2×C4⋊C4—24no—
345C2×C4⋊C4—24no—
346C2×C4⋊C4—22no—
347C2×C4⋊C4—22no—
348C2×C4⋊C4—22no—
349C2×C4⋊C4—22no—
350C2×C4⋊C4—22no—
351C2×C4⋊C4—22no—
352C2×C4⋊C4—22no—
353C2×C4⋊C4—22no—
354C2×C4⋊C4C2411yescharacteristic
355C2×C4⋊C4C2411yescharacteristic
356C2×C4⋊C4C2411yescharacteristic
357C2×C4⋊C4C2411yescharacteristic
358C2×C4⋊C4C2414yes—
359C2×C4⋊C4C2414yes—
360C2×C4⋊C4C2411yescharacteristic
361C2×C4⋊C4C2411yescharacteristic
362C2×C22⋊C4—21no—
363C2×C22⋊C4—21no—
364C2×C22⋊C4—21no—
365C2×C22⋊C4—24no—
366C2×C22⋊C4—21no—
367C2×C22⋊C4—21no—
368C2×C22⋊C4—21no—
369C2×C22⋊C4—21no—
370C2×C22⋊C4—21no—
371C2×C22⋊C4—21no—
372C2×C22⋊C4—21no—
373C2×C22⋊C4—21no—
374C2×C22⋊C4—21no—
375C2×C22⋊C4—21no—
376C2×C42—28no—
377C2×C42—21no—
378C2×C42—21no—
379C2×C42—21no—
380C2×C42—24no—
381C2×C42—24no—
382C2×C42—24no—
383C2×C42—22no—
384C2×C42—22no—
385C2×C42—24no—
386C2×C42—21no—
387C2×C42—21no—
388C2×C42—21no—
389C2×C42—21no—
390C2×C42—21no—
391C2×C42—21no—
392C2×C42—42no—
393C2×C42—42no—
394C2×C42—42no—
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×C42C2×D411yescharacteristic
404C2×C42C2×D411yescharacteristic
405C2×C42C2×D411yescharacteristic
406C2×C42C2×D411yescharacteristic
407C2×C42C2×D411yescharacteristic
408C2×C42C2×D411yescharacteristic
409C2×C42C2×D411yescharacteristic
410C2×C42C2×D411yescharacteristic
411C2×C42C2×D411yescharacteristic
412C2×C42C2×D411yescharacteristic
413C2×C42C2×D411yescharacteristic
414C2×C42C2×D411yescharacteristic
415C2×C42C2×D411yescharacteristic
416C2×C42C2×D411yescharacteristic
417C2×C42C2411yescharacteristic
418C2×C42C2411yescharacteristic
419C2×C42C2411yescharacteristic
420C2×C42C2411yescharacteristic
421C2×C42C2411yescharacteristic
422C2×C42C2411yescharacteristic
423#107—28no—
424#107—44no—
425#106—28no—
426#106—44no—
427C4⋊C8—24no—
428C4⋊C8—24no—
429#103—28no—
430#103—44no—
431#102—28no—
432#102—44no—
433C22⋊C8—28no—
434#97—44no—
435#95—21no—
436#95—21no—
437#95—21no—
438#95—21no—
439#95—21no—
440#95—21no—
441#95—21no—
442#95—21no—
443#95—21no—
444#95—21no—
445#95—21no—
446#95—21no—
447#95—21no—
448#95—21no—
449#95—21no—
450#95—21no—
451#95—21no—
452#95—21no—
453#95—21no—
454#95—21no—
455#95—24no—
456#95—24no—
457#95—24no—
458#95—24no—
459C24—21no—
460C24C22×D411yescharacteristic
461#41—48no—
462#41—48no—
463C2×Q8—21no—
464C2×Q8—22no—
465C2×Q8—22no—
466C2×Q8—44no—
467C2×Q8—44no—
468C2×Q8—44no—
469C2×Q8—44no—
470C2×Q8—44no—
471C2×Q8—44no—
472C2×Q8C2×#4112yes—
473C2×D4—24no—
474C2×D4—21no—
475C2×D4—22no—
476C2×D4—22no—
477C2×D4—42no—
478C2×D4—42no—
479C2×D4C2×#4112yes—
480C22×C4—22no—
481C22×C4—22no—
482C22×C4—22no—
483C22×C4—21no—
484C22×C4—21no—
485C22×C4—22no—
486C22×C4—24no—
487C22×C4—24no—
488C22×C4—22no—
489C22×C4—21no—
490C22×C4—21no—
491C22×C4—21no—
492C22×C4—22no—
493C22×C4—22no—
494C22×C4—24no—
495C22×C4—22no—
496C22×C4—22no—
497C22×C4—22no—
498C22×C4—22no—
499C22×C4—22no—
500C22×C4—22no—
501C22×C4—21no—
502C22×C4—21no—
503C22×C4—21no—
504C22×C4—21no—
505C22×C4—24no—
506C22×C4—24no—
507C22×C4—41no—
508C22×C4—41no—
509C22×C4—41no—
510C22×C4—41no—
511C22×C4—41no—
512C22×C4—41no—
513C22×C4—42no—
514C22×C4—42no—
515C22×C4—42no—
516C22×C4—42no—
517C22×C4—42no—
518C22×C4—42no—
519C22×C4C22×D411yescharacteristic
520C22×C4C22×D411yescharacteristic
521C22×C4C22×D411yescharacteristic
522C22×C4C22×D411yescharacteristic
523C22×C4C22×D411yescharacteristic
524C22×C4C22×D411yescharacteristic
525C22×C4C22×D411yescharacteristic
526C22×C4C22×D411yescharacteristic
527C22×C4C22×D411yescharacteristic
528C22×C4C22×D411yescharacteristic
529C22×C4C22×D411yescharacteristic
530C22×C4C22×D411yescharacteristic
531C22×C4C22×D411yescharacteristic
532C22×C42−1+414yes—
533C22×C4C2511yescharacteristic
534C2×C8—24no—
535C2×C8—24no—
536C2×C8—24no—
537C2×C8—24no—
538C2×C8—24no—
539C2×C8—24no—
540C4⋊C4—24no—
541C4⋊C4—24no—
542C4⋊C4—21no—
543C4⋊C4—21no—
544C4⋊C4—24no—
545C4⋊C4—24no—
546C4⋊C4—22no—
547C4⋊C4—22no—
548C4⋊C4—24no—
549C4⋊C4—24no—
550C4⋊C4—22no—
551C4⋊C4—22no—
552C4⋊C4—42no—
553C4⋊C4—42no—
554C4⋊C4—42no—
555C4⋊C4—44no—
556C4⋊C4—44no—
557C4⋊C4—48no—
558C4⋊C4—44no—
559C4⋊C4—44no—
560C4⋊C4—44no—
561C4⋊C4—44no—
562C4⋊C4—44no—
563C4⋊C4—42no—
564C4⋊C4—42no—
565C4⋊C4—48no—
566C4⋊C4—44no—
567C4⋊C4—42no—
568C4⋊C4—42no—
569C4⋊C4—42no—
570C4⋊C4—44no—
571C4⋊C4—44no—
572C4⋊C4C2×#4112yes—
573C4⋊C4C2×#4112yes—
574C22⋊C4—24no—
575C22⋊C4—24no—
576C22⋊C4—24no—
577C22⋊C4—42no—
578C22⋊C4—42no—
579C22⋊C4—42no—
580C22⋊C4—42no—
581C22⋊C4—48no—
582C22⋊C4—42no—
583C22⋊C4—42no—
584C22⋊C4—42no—
585C22⋊C4—42no—
586C22⋊C4—42no—
587C22⋊C4—42no—
588C42—24no—
589C42—24no—
590C42—22no—
591C42—24no—
592C42—22no—
593C42—22no—
594C42—22no—
595C42—22no—
596C42—22no—
597C42—22no—
598C42—22no—
599C42—22no—
600C42—22no—
601C42—22no—
602C42—22no—
603C42—22no—
604C42—22no—
605C42—21no—
606C42—21no—
607C42—22no—
608C42—22no—
609C42—22no—
610C42—22no—
611C42—41no—
612C42—41no—
613C42—41no—
614C42—41no—
615C42—41no—
616C42—41no—
617C42—42no—
618C42—42no—
619C42—42no—
620C42—42no—
621C42—48no—
622C42—42no—
623C42—42no—
624C42AGL(1,ℤ/8)14yes—
625C42#13714yes—
626C42C2×#4112yes—
627C42C2×#4112yes—
628C23—21no—
629C23—21no—
630C23—21no—
631C23—21no—
632C23—21no—
633C23—21no—
634C23—22no—
635C23—41no—
636C23—41no—
637C23—41no—
638C23—41no—
639C23—41no—
640C23—41no—
641C23#53612yes—
642C23C23×D411yescharacteristic
643Q8—24no—
644Q8—42no—
645Q8—88no—
646Q8—88no—
647D4—24no—
648D4—48no—
649D4—42no—
650C2×C4—28no—
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—24no—
668C2×C4—24no—
669C2×C4—21no—
670C2×C4—22no—
671C2×C4—22no—
672C2×C4—22no—
673C2×C4—21no—
674C2×C4—21no—
675C2×C4—21no—
676C2×C4—21no—
677C2×C4—21no—
678C2×C4—21no—
679C2×C4—21no—
680C2×C4—21no—
681C2×C4—21no—
682C2×C4—21no—
683C2×C4—21no—
684C2×C4—44no—
685C2×C4—44no—
686C2×C4—44no—
687C2×C4—44no—
688C2×C4—48no—
689C2×C4—48no—
690C2×C4—41no—
691C2×C4—41no—
692C2×C4—41no—
693C2×C4—41no—
694C2×C4—41no—
695C2×C4—41no—
696C2×C4—44no—
697C2×C4—48no—
698C2×C4—44no—
699C2×C4—41no—
700C2×C4—41no—
701C2×C4—41no—
702C2×C4—41no—
703C2×C4—44no—
704C2×C4—44no—
705C2×C4—44no—
706C2×C4—41no—
707C2×C4—41no—
708C2×C4—41no—
709C2×C4—41no—
710C2×C4—41no—
711C2×C4—41no—
712C2×C4—41no—
713C2×C4—41no—
714C2×C4—44no—
715C2×C4—44no—
716C2×C4#52512yes—
717C2×C4#52512yes—
718C2×C4#53612yes—
719C2×C4C2×AGL(1,ℤ/8)12yes—
720C2×C4C2×AGL(1,ℤ/8)12yes—
721C2×C4C2×AGL(1,ℤ/8)12yes—
722C2×C4C2×#13712yes—
723C2×C4C2×#13712yes—
724C2×C4C2×#13712yes—
725C2×C4#57512yes—
726C2×C4#57512yes—
727C2×C4C22×#4111yescharacteristic
728C2×C4C22×#4111yescharacteristic
729C2×C4C2×2−1+412yes—
730C2×C4#58512yes—
731C8—44no—
732C8—44no—
733C22—22no—
734C22—22no—
735C22—22no—
736C22—41no—
737C22—41no—
738C22—41no—
739C22—41no—
740C22—42no—
741C22—42no—
742C22—42no—
743C22—81no—
744C22—81no—
745C22—81no—
746C22—81no—
747C22C2×#52511yescharacteristic
748C22C2×#53611yescharacteristic
749C22#344911yescharacteristic
750C22C22×AGL(1,ℤ/8)11yescharacteristic
751C22C22×#13711yescharacteristic
752C22C2×#57511yescharacteristic
753C22C2×#57511yescharacteristic
754C4—22no—
755C4—22no—
756C4—22no—
757C4—22no—
758C4—22no—
759C4—22no—
760C4—22no—
761C4—22no—
762C4—41no—
763C4—41no—
764C4—41no—
765C4—42no—
766C4—42no—
767C4—41no—
768C4—42no—
769C4—81no—
770C4—84no—
771C4—81no—
772C4—84no—
773C4—81no—
774C4—81no—
775C4#311614yes—
776C4#349512yes—
777C4#349512yes—
778C2—42no—
779C2—82no—
780C2#3532511yescharacteristic
781C2C2×#311611yescharacteristic
782C2#6056111yescharacteristic
783C2#6085411yescharacteristic
784C2#6086011yescharacteristic
785C2#6095111yescharacteristic
786C2#6096611yescharacteristic
subgroupG/H
center, socleC23C23×D4
commutator, Frattini, cosocleC22×C4C25
prime radicalC22×#41C23
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. #36645C2semidirect
3. #33153C2semidirect
5. #29984C2semidirect
6. #29981C2semidirect
7. #29869C2semidirect
8. #29868C2semidirect
9. #29580C2semidirect
10. #29579C2semidirect
11. #29390C2semidirect
12. #29388C2semidirect
13. #29304C2semidirect
15. #27612C2semidirect
17. #22119C2semidirect
18. #22117C2semidirect
19. #20778C2semidirect

Maximal subgroups

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

subgroupindex
#366452
#340262
#331532
#329582
#299842
#299812
#298692
#298682
#295802
#295792
#293902
#293882
#293042
#291132
#276122
#275842
#221192
#221172
#207782