Finite Group Databasebeta

← #25986978

Subgroups — #25986978

Order 11008.

1716 conjugacy classes of subgroups.

The subgroup lattice has 726 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#19149006C211yesmaximal, characteristic, complemented
2#19148396C211yesmaximal, characteristic, complemented
3#19147504C212yesmaximal, complemented
4#19147491C214yesmaximal, complemented
5#19147454C212yesmaximal, complemented
6#19147417C214yesmaximal, complemented
7#19147386C212yesmaximal, complemented
8#19147254C212yesmaximal, complemented
9#19145899C214yesmaximal, complemented
10#19145731C211yesmaximal, characteristic, complemented
11#19144782C214yesmaximal, complemented
12#19144687C211yesmaximal, characteristic
13#19144599C211yesmaximal, characteristic, complemented
14#19143692C211yesmaximal, characteristic, complemented
15C43×#3237C211yesmaximal, characteristic, complemented
16#14583653—22no—
17#14583634C2212yescomplemented
18Q8×Dic86C2212yescomplemented
19#14583623C2212yescomplemented
20#14583622—21no—
21#14583610C2212yes—
22#14583609—21no—
23#14583609—22no—
24#14583605C2214yes—
25Q8×D172—21no—
26Q8×D172—21no—
27#14583564C2212yes—
28#14583564C2212yescomplemented
29#14583527C2212yes—
30#14583524—22no—
31#14583522C2214yes—
32#14583520—22no—
33#14583472—22no—
34#14583456C2211yescharacteristic
35#14583449C2211yescharacteristic
36C22⋊Q8×D43—22no—
37#14583373C2212yes—
38C2×C4×D172C2211yescharacteristic
39#14583307C2214yescomplemented
40#14583302C2211yescharacteristic, complemented
41#14583296C2214yescomplemented
42#14583295C2211yescharacteristic, complemented
43#14583260C2214yescomplemented
44#14583255C2214yescomplemented
45#14583247C2211yescharacteristic, complemented
46#14583247C2211yescharacteristic, complemented
47#14583227C2212yes—
48#14583223C2214yes—
49#14583218C2212yes—
50#14583204C2214yescomplemented
51#14583202C2214yescomplemented
52#14583196C2214yescomplemented
53#14583190C2212yes—
54#14583188C2214yes—
55#14583188C2214yescomplemented
56#14583186C2212yes—
57#14583182C2214yescomplemented
58#14583178C2214yes—
59#14583117C2214yes—
60#14583117C2214yes—
61#14583101C2212yes—
62#14583095C2212yes—
63#14583049C2212yes—
64#14583035C2212yes—
65#14583027C2214yescomplemented
66#14583026C2212yescomplemented
67#14583023C2212yescomplemented
68#14583012C2214yes—
69#14583010C2214yes—
70#14583002C2214yes—
71C4×#10621884C2212yes—
72C4×#10621884C2212yes—
73#14582984C2214yes—
74#14582981C2214yes—
75#14582957C2214yes—
76#14582952C2211yescharacteristic
77C43×#533C2211yescharacteristic
78C43×#533C2211yescharacteristic
79C43×#501C2212yescomplemented
80C43×#491C2212yescomplemented
81C43×#485C2214yes—
82C43×#477C2212yescomplemented
83C43×#475C2212yescomplemented
84C43×#432C2211yescharacteristic
85C2×#10621898—21no—
86C2×Q8×D43—22no—
87C2×Q8×D43—22no—
88C22×D172C2311yescharacteristic
89C22×C4×D43—21no—
90C2×#10621884C2312yes—
91C2×#10621884C2312yes—
92C2×D344C2314yes—
93#13063325—22no—
94#13063325—22no—
95#13063325D411yescharacteristic
96#13063325D411yescharacteristic
97#13063325C2311yescharacteristic
98#13063324—24no—
99#13063324C2314yes—
100#13063324C2314yes—
101#13063322C2311yescharacteristic
102#13063320—24no—
103#13063320—24no—
104#13063317—22no—
105#13063317D412yes—
106#13063316C2314yes—
107#13063314C2314yes—
108#13063313—22no—
109#13063313—21no—
110#13063311—24no—
111#13063310—24no—
112#13063307—24no—
113#13063305—22no—
114#13063305—22no—
115#13063305—24no—
116#13063305—24no—
117#13063304D412yes—
118#13063304D412yes—
119#13063303—24no—
120#13063303—24no—
121#13063303—24no—
122#13063303—24no—
123#13063302—24no—
124#13063301—22no—
125#13063301—22no—
126#13063301—24no—
127#13063299—21no—
128#13063299C2312yes—
129Q8×Dic43C2314yes—
130C4×Dic86—22no—
131C4×Dic86C2312yes—
132C4×Dic86C2312yes—
133C4×D172—21no—
134C4×D172—21no—
135C4×D172—21no—
136C4×D172—22no—
137C4×D172—22no—
138C4×D172—22no—
139C4×D172C2312yes—
140C4×D172C2312yes—
141C4×D172C2312yes—
142#13063287C2314yes—
143#13063287C2314yes—
144#13063287C2314yes—
145#13063284C2312yes—
146#13063283—22no—
147C2×C4⋊Dic43C2311yescharacteristic
148C4⋊C4×D43—22no—
149C4⋊C4×D43—24no—
150C2×(C2×D43)⋊C4—21no—
151C22⋊C4×D43—24no—
152#13063258C2314yes—
153#13063257C2314yes—
154#13063256C2312yes—
155#13063256C2314yes—
156#13063256C2312yes—
157C4⋊(C43⋊C8)C2312yes—
158Dic43⋊C8C2314yes—
159Dic43⋊C8C2314yes—
160#13063249C2312yes—
161#13063249C2312yes—
162#13063247C2314yes—
163#13063247C2314yes—
164#13063245C2312yes—
165#13063245C2312yes—
166#13063245C2314yes—
167#13063245C2314yes—
168C22⋊(C43⋊C8)C2312yes—
169#13063235C2314yes—
170C4×C43⋊C8C2311yescharacteristic
171C4×C43⋊C8C2311yescharacteristic
172C8×Dic43C2314yes—
173C4⋊Q8×C43C2311yescharacteristic
174C4⋊Q8×C43C2311yescharacteristic
175C4⋊Q8×C43C2311yescharacteristic
176C4⋊Q8×C43C2311yescharacteristic
177#125×C43—21no—
178#125×C43C2312yes—
179C22⋊Q8×C43—21no—
180C22⋊Q8×C43—21no—
181C22⋊Q8×C43—21no—
182C22⋊Q8×C43C2312yes—
183C4×Q8×C43—21no—
184C4×Q8×C43—21no—
185C4×Q8×C43—21no—
186C4×Q8×C43C2312yes—
187#117×C43—21no—
188#117×C43C2312yes—
189C2×C42×C43C2311yescharacteristic
190#107×C43C2314yes—
191#106×C43C2314yes—
192C4⋊C8×C43C2312yes—
193#103×C43C2314yes—
194#103×C43C2314yes—
195C22⋊C8×C43C2312yes—
196#97×C43C2312yes—
197C23×D43—21no—
198C2×Q8×C43—21no—
199C2×Q8×C43—21no—
200C2×Q8×C43—21no—
201C2×Q8×C43C2412yes—
202C22×C4×C43C2×D411yescharacteristic
203C22×C4×C43C2×D411yescharacteristic
204C22×C4×C43C2411yescharacteristic
205C2×C22⋊D43—22no—
206C22×Dic43—21no—
207Q8×D43—84no—
208Q8×D43—84no—
209#10621898—82no—
210C2×D172—21no—
211C2×D172—24no—
212C2×D172—21no—
213C2×D172—21no—
214C2×D172C2412yes—
215C2×D172C2412yes—
216C2×C4×D43—22no—
217C2×C4×D43—22no—
218C2×C4×D43—22no—
219C2×C4×D43—24no—
220C2×C4×D43—24no—
221C2×C4×D43—24no—
222C2×C4×D43—82no—
223C2×Dic86—21no—
224C2×Dic86—24no—
225C2×Dic86—24no—
226C2×Dic86C2×D412yes—
227C2×Dic86C2×D412yes—
228C2×C8×C43C2414yes—
229C4⋊C4×C43—21no—
230C4⋊C4×C43—21no—
231C4⋊C4×C43—22no—
232C4⋊C4×C43—22no—
233C4⋊C4×C43—21no—
234C4⋊C4×C43—21no—
235C4⋊C4×C43—21no—
236C4⋊C4×C43—22no—
237C4⋊C4×C43—22no—
238C4⋊C4×C43C2412yes—
239C4⋊C4×C43C2412yes—
240C4⋊C4×C43C2412yes—
241C22⋊C4×C43—22no—
242C22⋊C4×C43—22no—
243C42×C43—22no—
244C42×C43—22no—
245C42×C43C2×D411yescharacteristic
246C42×C43C2×D411yescharacteristic
247C42×C43C2411yescharacteristic
248C42×C43C2411yescharacteristic
249C22⋊Dic43C2×D414yes—
250#10621884—24no—
251#10621884—24no—
252(C2×D43)⋊C4—22no—
253(C2×D43)⋊C4—22no—
254(C2×D43)⋊C4—22no—
255(C2×D43)⋊C4—22no—
256(C2×D43)⋊C4—24no—
257(C2×D43)⋊C4—24no—
258(C2×D43)⋊C4—24no—
259(C2×D43)⋊C4—24no—
260(C2×D43)⋊C4—24no—
261C4⋊Dic43—21no—
262C4⋊Dic43—21no—
263C4⋊Dic43—24no—
264C4⋊Dic43—24no—
265C4⋊Dic43C2×D412yes—
266C4⋊Dic43C2×D412yes—
267C4⋊Dic43C2×D412yes—
268C4⋊Dic43C2×D412yes—
269C4⋊Dic43C2412yes—
270C4⋊Dic43C2412yes—
271Dic43⋊C4—24no—
272Dic43⋊C4—24no—
273Dic43⋊C4—24no—
274Dic43⋊C4C2×D414yes—
275Dic43⋊C4C2×D414yes—
276C4×Dic43—24no—
277C4×Dic43C2414yes—
278C2×C43⋊C8C2412yes—
279C2×C43⋊C8C2412yes—
280D344—28no—
281C23×C43C22×D411yescharacteristic
282C22×D43—22no—
283C22×D43—24no—
284C22×D43—22no—
285C22×D43—81no—
286C22×D43—81no—
287Q8×C43—22no—
288Q8×C43—22no—
289Q8×C43—42no—
290Q8×C43—42no—
291Q8×C43—81no—
292C2×C4×C43—22no—
293C2×C4×C43—22no—
294C2×C4×C43—22no—
295C2×C4×C43—22no—
296C2×C4×C43—22no—
297C2×C4×C43—22no—
298C2×C4×C43—41no—
299C2×C4×C43C22×D411yescharacteristic
300C2×C4×C43C22×D411yescharacteristic
301C2×C4×C43C22×D411yescharacteristic
302C2×C4×C43C22×D411yescharacteristic
303C2×C4×C43C22×D411yescharacteristic
304C2×C4×C43C2511yescharacteristic
305C22⋊D43—82no—
306C2×Dic43—22no—
307C2×Dic43—22no—
308C2×Dic43—81no—
309C2×Dic43C22×D414yes—
310C2×Dic43C22×D414yes—
311D172—24no—
312D172—22no—
313D172—24no—
314D172—42no—
315D172—81no—
316D1722−1+414yes—
317C4×D43—44no—
318C4×D43—44no—
319C4×D43—84no—
320C4×D43—84no—
321C4×D43—84no—
322C4×D43—82no—
323Dic86—24no—
324Dic86—42no—
325Dic86—84no—
326Dic86—84no—
327Dic86—81no—
328C8×C43—24no—
329C43⋊C8—22no—
330C43⋊C8—22no—
331#61850—431nomaximal, Sylow
332C22×C43—21no—
333C22×C43—21no—
334C22×C43—21no—
335C22×C43C23×D411yescharacteristic
336C2×D43—24no—
337C2×D43—42no—
338C2×D43—42no—
339C2×D43—42no—
340C2×D43—42no—
341C2×D43—42no—
342C2×D43—84no—
343C4×C43—21no—
344C4×C43—21no—
345C4×C43—21no—
346C4×C43—21no—
347C4×C43—42no—
348C4×C43—42no—
349C4×C43—42no—
350C4×C43—42no—
351C4×C43#57712yes—
352C4×C43C2×2−1+412yes—
353Dic43—24no—
354Dic43—24no—
355Dic43—42no—
356Dic43—42no—
357#3550—431no—
358#3501—431no—
359#3385—432no—
360#3384—434no—
361Q8×SD16—432no—
362#3376—434no—
363#3373—432no—
364#3361—432no—
365#3244—434no—
366#3237D4311yescharacteristic, complemented
367#3228—431no—
368#3118—434no—
369#3109—431no—
370#3101—431no—
371#2985—431no—
372C2×C43—41no—
373C2×C43#348611yescharacteristic
374C2×C43C2×#57711yescharacteristic
375C2×C43#358511yescharacteristic
376D43—44no—
377D43—82no—
378#563—862no—
379#559—432no—
380Q82—432no—
381#556—432no—
382#556—861no—
383#554—432no—
384#554—434no—
385#554—862no—
386#554—861no—
387D4×Q8—432no—
388D4×Q8—432no—
389D4×Q8—861no—
390D4×Q8—861no—
391#544—432no—
392#543—862no—
393#542—434no—
394#542—862no—
395#536—862no—
396#533—431no—
397#533C2×D4311yescharacteristic
398#533C2×D4311yescharacteristic
399#532—431no—
400C2×C22⋊Q8—862no—
401#518—432no—
402C2×C4×D4—431no—
403#501—434no—
404#501C2×D4312yescomplemented
405#500—431no—
406#498—431no—
407#498—434no—
408#491C2×D4312yescomplemented
409#489—434no—
410#488—434no—
411#486—431no—
412#486—431no—
413#485C2×D4314yes—
414#483—432no—
415#482—434no—
416#481—432no—
417#479—434no—
418#478—434no—
419#478—434no—
420#477C2×D4312yescomplemented
421#476—432no—
422#476—434no—
423#476—434no—
424#476—432no—
425#475—434no—
426#475C2×D4312yescomplemented
427#474—434no—
428#463—434no—
429#463—434no—
430#461—432no—
431#459—432no—
432#450—432no—
433#447—432no—
434#446—432no—
435#446—434no—
436C8×Q8—432no—
437#442—434no—
438#442—434no—
439#440—434no—
440C4×SD16—432no—
441C4×SD16—432no—
442C4×SD16—434no—
443C4×D8—434no—
444#433—434no—
445#432C2×D4311yescharacteristic
446#431—431no—
447C43#6185011yescharacteristic, complemented, Sylow
448C2×#41—861no—
449C22×Q8—862no—
450C22×Q8—862no—
451C22×D4—431no—
452C23×C4—861no—
453C2×SD16—432no—
454C2×SD16—432no—
455C2×D8—434no—
456C4⋊Q8—434no—
457C4⋊Q8—434no—
458C4⋊Q8—431no—
459C4⋊Q8—431no—
460C4⋊Q8—431no—
461C4⋊Q8—862no—
462C4⋊Q8—862no—
463C4⋊Q8—864no—
464C4⋊Q8C22×D4311yescharacteristic
465C4⋊Q8C22×D4311yescharacteristic
466C4⋊Q8C22×D4311yescharacteristic
467C4⋊Q8C22×D4311yescharacteristic
468#127—431no—
469#126—864no—
470#126—864no—
471#125—21no—
472#125—434no—
473#125—432no—
474#125—862no—
475#125C22×D4312yes—
476#124—434no—
477#124—862no—
478#124—864no—
479#124—861no—
480#123—864no—
481#123—864no—
482C22⋊Q8—21no—
483C22⋊Q8—21no—
484C22⋊Q8—21no—
485C22⋊Q8—432no—
486C22⋊Q8—432no—
487C22⋊Q8—864no—
488C22⋊Q8—864no—
489C22⋊Q8—864no—
490C22⋊Q8—864no—
491C22⋊Q8—864no—
492C22⋊Q8—864no—
493C22⋊Q8—862no—
494C22⋊Q8—862no—
495C22⋊Q8—864no—
496C22⋊Q8—862no—
497C22⋊Q8—862no—
498C22⋊Q8—864no—
499C22⋊Q8C22×D4312yes—
500#121—432no—
501#121—861no—
502C4×Q8—21no—
503C4×Q8—21no—
504C4×Q8—21no—
505C4×Q8—432no—
506C4×Q8—432no—
507C4×Q8—434no—
508C4×Q8—862no—
509C4×Q8C22×D4312yes—
510C4×D4—434no—
511C4×D4—434no—
512C4×D4—434no—
513C4×D4—432no—
514C4×D4—432no—
515C4×D4—432no—
516C4×D4—862no—
517C4×D4—862no—
518C4×D4—862no—
519C4×D4—861no—
520C4×D4—861no—
521C4×D4—861no—
522#117—21no—
523#117—432no—
524#117—862no—
525#117C22×D4312yes—
526C2×C4⋊C4—431no—
527C2×C4⋊C4—864no—
528C2×C4⋊C4—862no—
529C2×C22⋊C4—864no—
530C2×C22⋊C4—861no—
531C2×C42C22×D4311yescharacteristic
532#107—434no—
533#107C22×D4314yes—
534#106—434no—
535#106—434no—
536#106—432no—
537#106—432no—
538#106C22×D4314yes—
539C4⋊C8—434no—
540C4⋊C8—434no—
541C4⋊C8—432no—
542C4⋊C8C22×D4312yes—
543#103—432no—
544#103—432no—
545#103C22×D4314yes—
546#103C22×D4314yes—
547#102—434no—
548#102—434no—
549#102—432no—
550#102—434no—
551#102—432no—
552#102—434no—
553C22⋊C8—432no—
554C22⋊C8C22×D4312yes—
555#97—434no—
556#97C22×D4312yes—
557C4×C8—434no—
558C4×C8—431no—
559C4×C8—431no—
560C24—861no—
561#41—3442no—
562C2×Q8—21no—
563C2×Q8—21no—
564C2×Q8—21no—
565C2×Q8—432no—
566C2×Q8—432no—
567C2×Q8—864no—
568C2×Q8—864no—
569C2×Q8—861no—
570C2×Q8—3444no—
571C2×Q8—3444no—
572C2×Q8C23×D4312yes—
573C2×D4—432no—
574C2×D4—432no—
575C2×D4—864no—
576C2×D4—862no—
577C2×D4—861no—
578C2×D4—861no—
579C2×D4—861no—
580C22×C4—864no—
581C22×C4—864no—
582C22×C4—864no—
583C22×C4—861no—
584C22×C4—862no—
585C22×C4—862no—
586C22×C4—862no—
587C22×C4—3442no—
588C22×C4D4×D4311yescharacteristic
589C22×C4D4×D4311yescharacteristic
590C22×C4C23×D4311yescharacteristic
591SD16—864no—
592SD16—864no—
593D8—868no—
594C2×C8—432no—
595C2×C8—432no—
596C2×C8C23×D4314yes—
597C4⋊C4—22no—
598C4⋊C4—21no—
599C4⋊C4—21no—
600C4⋊C4—21no—
601C4⋊C4—21no—
602C4⋊C4—22no—
603C4⋊C4—21no—
604C4⋊C4—22no—
605C4⋊C4—22no—
606C4⋊C4—432no—
607C4⋊C4—434no—
608C4⋊C4—432no—
609C4⋊C4—432no—
610C4⋊C4—432no—
611C4⋊C4—434no—
612C4⋊C4—432no—
613C4⋊C4—432no—
614C4⋊C4—864no—
615C4⋊C4—864no—
616C4⋊C4—864no—
617C4⋊C4—864no—
618C4⋊C4—864no—
619C4⋊C4—861no—
620C4⋊C4—861no—
621C4⋊C4C23×D4312yes—
622C4⋊C4C23×D4312yes—
623C4⋊C4C23×D4312yes—
624C22⋊C4—22no—
625C22⋊C4—22no—
626C22⋊C4—434no—
627C22⋊C4—864no—
628C22⋊C4—864no—
629C22⋊C4—864no—
630C22⋊C4—864no—
631C22⋊C4—864no—
632C22⋊C4—862no—
633C22⋊C4—862no—
634C22⋊C4—862no—
635C22⋊C4—862no—
636C42—22no—
637C42—22no—
638C42—434no—
639C42—864no—
640C42D4×D4311yescharacteristic
641C42D4×D4311yescharacteristic
642C42C23×D4311yescharacteristic
643C42C23×D4311yescharacteristic
644C23—864no—
645C23—862no—
646C23—862no—
647C23—3441no—
648C23—3441no—
649C23C2×D4×D4311yescharacteristic
650Q8—22no—
651Q8—22no—
652Q8—42no—
653Q8—42no—
654Q8—81no—
655Q8—864no—
656Q8—3441no—
657Q8—3444no—
658Q8—3444no—
659Q8—1722no—
660D4—434no—
661D4—864no—
662D4—862no—
663D4—864no—
664D4—3441no—
665D4—3442no—
666D4—1722no—
667C2×C4—22no—
668C2×C4—22no—
669C2×C4—22no—
670C2×C4—22no—
671C2×C4—22no—
672C2×C4—22no—
673C2×C4—41no—
674C2×C4—434no—
675C2×C4—434no—
676C2×C4—862no—
677C2×C4—862no—
678C2×C4—3442no—
679C2×C4—3444no—
680C2×C4—3444no—
681C2×C4—3444no—
682C2×C4—3441no—
683C2×C4—1724no—
684C2×C4—1724no—
685C2×C4C2×D4×D4311yescharacteristic
686C2×C4C2×D4×D4311yescharacteristic
687C2×C4C2×D4×D4311yescharacteristic
688C2×C4C2×D4×D4311yescharacteristic
689C2×C4C2×D4×D4311yescharacteristic
690C2×C4C24×D4311yescharacteristic
691C8—24no—
692C8—862no—
693C8—862no—
694C22—21no—
695C22—21no—
696C22—21no—
697C22—864no—
698C22—3444no—
699C22—1722no—
700C22—1722no—
701C22—1722no—
702C22—1722no—
703C22—1722no—
704C22C22×D4×D4311yescharacteristic
705C4—21no—
706C4—21no—
707C4—21no—
708C4—21no—
709C4—42no—
710C4—42no—
711C4—42no—
712C4—42no—
713C4—864no—
714C4—864no—
715C4—1722no—
716C4—1722no—
717C4#1458370812yes—
718C42−1+4×D4312yes—
719C2—41no—
720C2—3442no—
721C2—1724no—
722C2#1914824411yescharacteristic
723C2C2×#1458370811yescharacteristic
724C2#1914937211yescharacteristic
subgroupG/H
centerC22C22×D4×D43
commutator, cosocleC2×C4×C43C25
FrattiniC2×C4C24×D43
FittingC43×#3237C2
socleC22×C43C23×D4
prime radical#19144687C2
hypercenter#3237D43
hypocenterC43#61850
LCSG ▷ C2×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C22 ◁ C2×C42 ◁ #3237

Complements

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

NH ≅ G/Ntype
1. #19149006C2semidirect
2. #19148396C2semidirect
3. #19147504C2semidirect
4. #19147491C2semidirect
5. #19147454C2semidirect
6. #19147417C2semidirect
7. #19147386C2semidirect
8. #19147254C2semidirect
9. #19145899C2semidirect
10. #19145731C2semidirect
11. #19144782C2semidirect
13. #19144599C2semidirect
14. #19143692C2semidirect
15. C43×#3237C2semidirect
17. #14583634C22semidirect
18. Q8×Dic86C22semidirect
19. #14583623C22semidirect
28. #14583564C22semidirect
39. #14583307C22semidirect
40. #14583302C22semidirect
41. #14583296C22semidirect
42. #14583295C22semidirect
43. #14583260C22semidirect
44. #14583255C22semidirect
45. #14583247C22semidirect
46. #14583247C22semidirect
50. #14583204C22semidirect
51. #14583202C22semidirect
52. #14583196C22semidirect
55. #14583188C22semidirect
57. #14583182C22semidirect
65. #14583027C22semidirect
66. #14583026C22semidirect
67. #14583023C22semidirect
79. C43×#501C22semidirect
80. C43×#491C22semidirect
82. C43×#477C22semidirect
83. C43×#475C22semidirect
366. #3237D43semidirect
404. #501C2×D43semidirect
408. #491C2×D43semidirect
420. #477C2×D43semidirect
426. #475C2×D43semidirect
447. C43#61850semidirect

Maximal subgroups

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

subgroupindex
#191490062
#191483962
#191475042
#191474912
#191474542
#191474172
#191473862
#191472542
#191458992
#191457312
#191447822
#191446872
#191445992
#191436922
C43×#32372
#6185043