Finite Group Databasebeta

← #11895944

Subgroups — #11895944

Order 1152.

828 conjugacy classes of subgroups.

The subgroup lattice has 753 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#10593902C211yesmaximal, characteristic
2#10593852C211yesmaximal, characteristic, complemented
3#10592547C211yesmaximal, characteristic, complemented
4C3×#4847C211yesmaximal, characteristic, complemented
5C3×#4828C211yesmaximal, characteristic, complemented
6#10590882C211yesmaximal, characteristic, complemented
7#10590879C211yesmaximal, characteristic, complemented
8#10590879C211yesmaximal, characteristic, complemented
9#10590878C211yesmaximal, characteristic, complemented
10#10590773C211yesmaximal, characteristic, complemented
11#10590769C211yesmaximal, characteristic, complemented
12#10590764C211yesmaximal, characteristic, complemented
13#10590758C211yesmaximal, characteristic, complemented
14#10590360C211yesmaximal, characteristic, complemented
15#10590282C211yesmaximal, characteristic, complemented
16#81153—31nomaximal
17#79980—31nomaximal
18C2×#3799—21no—
19C2×#3744C2211yescharacteristic
20C2×#3744C2211yescharacteristic
21#64083C2211yescharacteristic
22C4×#634C2211yescharacteristic
23C3×C4×D12C2211yescharacteristic
24C3×#870C2211yescharacteristic
25C3×C4×Dic6C2211yescharacteristic
26#63918C2211yescharacteristic
27#63911C2211yescharacteristic
28#63911C2211yescharacteristic
29#63910—21no—
30#63910—21no—
31#63909—21no—
32#63894C2211yescharacteristic
33#63894C2211yescharacteristic
34#63870—21no—
35#63869C2211yescharacteristic
36#63847—21no—
37#63844C2211yescharacteristic
38#63844C2211yescharacteristic
39#63839—21no—
40#63838—21no—
41C2×#3716C2211yescharacteristic
42C32×C4⋊C8C2211yescharacteristic
43#63648C2211yescharacteristic
44#63648C2211yescharacteristic
45C3×#821C2211yescharacteristic
46C3×#821C2211yescharacteristic
47C3×#818C2211yescharacteristic
48C3×#817C2211yescharacteristic
49C3×#815C2211yescharacteristic
50C3×Dic3⋊C8C2211yescharacteristic
51C3×Dic3⋊C8C2211yescharacteristic
52C3×C8×Dic3C2211yescharacteristic
53C3×#803C2211yescharacteristic
54#63575C2211yescharacteristic
55#63567C2211yescharacteristic
56#63564C2211yescharacteristic
57#63564C2211yescharacteristic
58#63564C2211yescharacteristic
59#63564C2211yescharacteristic
60#63563C2211yescharacteristic
61#5685—31no—
62#5577—31no—
63#5567—31no—
64#5553—31no—
65C3×#478—31no—
66C3×#446—31no—
67#5067—31no—
68#5018—31no—
69#4890—31no—
70#4889—31no—
71#4871—31no—
72#4852—31no—
73#4848—31no—
74#4848—31no—
75#4848—31no—
76#4848—31no—
77#4848—61no—
78#4847—31no—
79#4847D311yescharacteristic, complemented
80#4846—31no—
81#4828D311yescharacteristic, complemented
82#4764—31no—
83#4762—31no—
84#4762—31no—
85#4760—31no—
86#4713—31no—
87#4713—31no—
88#4710—31no—
89#4710—31no—
90#4694—31no—
91C4×#204—31no—
92C2×C4⋊(C3⋊D3)—21no—
93C2×C4⋊(C3⋊D3)—21no—
94C2×C4⋊(C3⋊D3)C2311yescharacteristic
95C2×C4⋊(C3⋊D3)C2311yescharacteristic
96C2×#634C2311yescharacteristic
97C2×C3×D12C2311yescharacteristic
98C2×C3×C4×D3—21no—
99C2×C3×Dic6D411yescharacteristic
100C2×#627—21no—
101C2×#626—21no—
102C2×#626—21no—
103C2×#626—21no—
104C2×#626—21no—
105C2×#624—21no—
106C2×#624—21no—
107#3799—44no—
108C2×C32×C8C2311yescharacteristic
109C2×C32×C8C2311yescharacteristic
110C32×C42C2311yescharacteristic
111C4⋊(C3⋊Dic3)C2311yescharacteristic
112#3750—21no—
113C4×C3⋊Dic3—21no—
114#3744—22no—
115#3744—22no—
116C3×(C2×D3)⋊C4—21no—
117C3×C4⋊Dic3D411yescharacteristic
118C3×C4⋊Dic3C2311yescharacteristic
119C3×C4⋊Dic3C2311yescharacteristic
120C3×C4⋊Dic3C2311yescharacteristic
121C3×Dic3⋊C4—21no—
122C3×Dic3⋊C4—21no—
123C3×Dic3⋊C4D411yescharacteristic
124C3×Dic3⋊C4D411yescharacteristic
125C3×C4×Dic3C2311yescharacteristic
126C3×C4×Dic3C2311yescharacteristic
127C2×C3×C3⋊C8C2311yescharacteristic
128C2×C3×C3⋊C8C2311yescharacteristic
129#3724—21no—
130#3724—21no—
131#3724—21no—
132Dic3⋊Dic3—21no—
133Dic3⋊Dic3—21no—
134#3722—21no—
135#3722—21no—
136Dic32—21no—
137Dic32—21no—
138#3716—22no—
139#3368—91noSylow
140C2×#239—61no—
141C2×#235—61no—
142C3×#125—31no—
143C3×C4×Q8—31no—
144C3×C4×D4—31no—
145#944—61no—
146#940—31no—
147#940—31no—
148C2×#214—31no—
149#930—61no—
150C2×#204—31no—
151C2×#204—31no—
152C2×#204—31no—
153C2×#204—31no—
154C2×#204—31no—
155C2×#204—61no—
156C2×#204—61no—
157#895—61no—
158#895—61no—
159#895—61no—
160#893—31no—
161#893—31no—
162#890—31no—
163#889—61no—
164#889—61no—
165#889—61no—
166#889—61no—
167#888—31no—
168#888—61no—
169#887—31no—
170#887—31no—
171#887—61no—
172#887—61no—
173#884—61no—
174#884—61no—
175#874—31no—
176#874—31no—
177#874—31no—
178#874—31no—
179#874—61no—
180C4×D12—31no—
181C4×D12—31no—
182C4×D12C2×D311yescharacteristic
183#870—31no—
184#870C2×D311yescharacteristic
185#869—31no—
186C4×Dic6—31no—
187C4×Dic6—31no—
188C4×Dic6—31no—
189C4×Dic6—31no—
190C4×Dic6—61no—
191C4×Dic6C2×D311yescharacteristic
192C3×#107—31no—
193C3×#106—31no—
194C3×C4⋊C8—21no—
195C3×C4⋊C8—31no—
196C3×C4⋊C8—31no—
197C3×C4⋊C8C2×D311yescharacteristic
198C3×C4⋊C8C2×D311yescharacteristic
199C3×#102—31no—
200C3×#102—31no—
201C3×#97—31no—
202C3×#97—31no—
203C3×C4×C8—31no—
204#832—31no—
205#821—31no—
206#821—31no—
207#821—31no—
208#821—31no—
209#821—31no—
210#821—31no—
211#821—31no—
212#821—31no—
213#821—31no—
214#821—61no—
215#821—61no—
216#821C2×D311yescharacteristic
217#821C2×D311yescharacteristic
218#818—31no—
219#818C2×D311yescharacteristic
220#817C2×D311yescharacteristic
221#816—31no—
222#815C2×D311yescharacteristic
223Dic3⋊C8C2×D311yescharacteristic
224Dic3⋊C8C2×D311yescharacteristic
225C8×Dic3C2×D311yescharacteristic
226#810—31no—
227#809—31no—
228#809—31no—
229#809—31no—
230#809—31no—
231#807—31no—
232#803C2×D311yescharacteristic
233C22×C3⋊D3—21no—
234C22×C3⋊D3—21no—
235C22×C3×D3—21no—
236C2×C32×C4C2×D411yescharacteristic
237C2×C32×C4C2×D411yescharacteristic
238C2×C32×C4C2411yescharacteristic
239C2×C3⋊Dic3—21no—
240C2×C3⋊Dic3—21no—
241C4⋊(C3⋊D3)—21no—
242C4⋊(C3⋊D3)—21no—
243C4⋊(C3⋊D3)—21no—
244C4⋊(C3⋊D3)—21no—
245C4⋊(C3⋊D3)—42no—
246C4⋊(C3⋊D3)—81no—
247#634—21no—
248#634#4112yescomplemented
249C2×C3×Dic3—21no—
250C2×C3×Dic3—21no—
251C2×C3×Dic3—21no—
252C2×C3×Dic3C2×D411yescharacteristic
253C2×C3×Dic3C2×D411yescharacteristic
254C2×C3×Dic3C2×D411yescharacteristic
255C2×C3×Dic3C2×D411yescharacteristic
256C3×D12—21no—
257C3×D12—21no—
258C3×C4×D3—42no—
259C3×Dic6—22no—
260#627—42no—
261#626—42no—
262#626—42no—
263#626—81no—
264#626—81no—
265#624—42no—
266#624—42no—
267C32×C8—21no—
268C32×C8—21no—
269C3×C3⋊C8—21no—
270C3×C3⋊C8—21no—
271#557—91no—
272#550—91no—
273#490—91no—
274#490—91no—
275#486—91no—
276#478—31no—
277#478—91no—
278#474—91no—
279#460—91no—
280#460—91no—
281#460—91no—
282#446—31no—
283#440—91no—
284#440—91no—
285C4×SD16—91no—
286C2×C3×Q8—31no—
287C2×C3×D4—31no—
288C22×C3×C4—61no—
289C2×#67—61no—
290C2×#67—61no—
291C2×#67—61no—
292C2×#67—61no—
293#239—124no—
294#235—124no—
295C2×D12—31no—
296C2×D12—31no—
297C2×D12—31no—
298C2×D12—31no—
299C2×D12—61no—
300C2×D12—61no—
301C2×D12—61no—
302C2×D12—61no—
303C2×D12—61no—
304C2×D12—61no—
305C2×D12—61no—
306C2×D12—61no—
307C2×D12—61no—
308C2×D12—61no—
309C2×D12—121no—
310C2×D12—121no—
311C2×D12C22×D311yescharacteristic
312C2×C4×D3—21no—
313C2×C4×D3—61no—
314C2×C4×D3—61no—
315C2×C4×D3—61no—
316C2×C4×D3—61no—
317C2×Dic6—31no—
318C2×Dic6—31no—
319C2×Dic6—61no—
320C2×Dic6—61no—
321C2×Dic6—61no—
322C2×Dic6D1211yescharacteristic
323C2×C3×C8—21no—
324C2×C3×C8—21no—
325C2×C3×C8—31no—
326C2×C3×C8—31no—
327C2×C3×C8C22×D311yescharacteristic
328C2×C3×C8C22×D311yescharacteristic
329C2×C3×C8C22×D311yescharacteristic
330C2×C3×C8C22×D311yescharacteristic
331C3×C4⋊C4—31no—
332C3×C4⋊C4—31no—
333C3×C4⋊C4—31no—
334C3×C4⋊C4—31no—
335C3×C4⋊C4—31no—
336C3×C4⋊C4—31no—
337C3×C4⋊C4—61no—
338C3×C4⋊C4—61no—
339C3×C22⋊C4—61no—
340C3×C42—21no—
341C3×C42—31no—
342C3×C42—31no—
343C3×C42C22×D311yescharacteristic
344C3×C42C22×D311yescharacteristic
345#214—62no—
346(C2×D3)⋊C4—21no—
347(C2×D3)⋊C4—61no—
348(C2×D3)⋊C4—61no—
349(C2×D3)⋊C4—61no—
350(C2×D3)⋊C4—61no—
351C4⋊Dic3—31no—
352C4⋊Dic3—31no—
353C4⋊Dic3—61no—
354C4⋊Dic3—61no—
355C4⋊Dic3—61no—
356C4⋊Dic3D1211yescharacteristic
357C4⋊Dic3C22×D311yescharacteristic
358C4⋊Dic3C22×D311yescharacteristic
359C4⋊Dic3C22×D311yescharacteristic
360Dic3⋊C4—21no—
361Dic3⋊C4—21no—
362Dic3⋊C4—61no—
363Dic3⋊C4—61no—
364Dic3⋊C4—61no—
365Dic3⋊C4—61no—
366Dic3⋊C4—61no—
367Dic3⋊C4—61no—
368Dic3⋊C4—61no—
369Dic3⋊C4—61no—
370Dic3⋊C4—61no—
371Dic3⋊C4—61no—
372Dic3⋊C4—121no—
373Dic3⋊C4D1211yescharacteristic
374Dic3⋊C4D1211yescharacteristic
375C4×Dic3—61no—
376C4×Dic3—61no—
377C4×Dic3—61no—
378C4×Dic3—61no—
379C4×Dic3—61no—
380C4×Dic3—61no—
381C4×Dic3—121no—
382C4×Dic3C22×D311yescharacteristic
383C4×Dic3C22×D311yescharacteristic
384C2×C3⋊C8C22×D311yescharacteristic
385C2×C3⋊C8C22×D311yescharacteristic
386#204—62no—
387#204—62no—
388#204—62no—
389#204—62no—
390#204—62no—
391#204—122no—
392#204—122no—
393C22×C32C22×D411yescharacteristic
394C2×C3⋊D3—41no—
395C2×C3⋊D3—41no—
396C2×C3⋊D3—41no—
397C2×C3⋊D3—41no—
398C2×C3⋊D3—41no—
399C2×C3⋊D3—41no—
400C2×C3×D3—41no—
401C2×C3×D3—41no—
402C2×C3×D3—41no—
403C32×C4—21no—
404C32×C4—21no—
405C32×C4C2×#4111yescharacteristic
406C32×C42−1+411yescharacteristic
407C3⋊Dic3—22no—
408C3⋊Dic3—41no—
409C3×Dic3—21no—
410C3×Dic3—21no—
411C3×Dic3—21no—
412C3×Dic3—41no—
413C3×Dic3—41no—
414C3×Dic3—41no—
415C3×Dic3AGL(1,ℤ/8)12yes—
416C2×#41—181no—
417C2×SD16—91no—
418C2×SD16—91no—
419C2×SD16—91no—
420C4⋊Q8—91no—
421C4⋊Q8—181no—
422#127—91no—
423#127—91no—
424#127—91no—
425#125—31no—
426#125—91no—
427#125—181no—
428#125—181no—
429#121—181no—
430#121—181no—
431#121—181no—
432C4×Q8—31no—
433C4×Q8—91no—
434C4×Q8—91no—
435C4×Q8—91no—
436C4×Q8—181no—
437C4×D4—31no—
438C4×D4—91no—
439C4×D4—91no—
440#107—31no—
441#107—91no—
442#106—31no—
443C4⋊C8—31no—
444C4⋊C8—31no—
445C4⋊C8D3211yescharacteristic
446#103—91no—
447#102—31no—
448#102—31no—
449#102—91no—
450#102—91no—
451#102—91no—
452#102—91no—
453#102—91no—
454#102—91no—
455#102—91no—
456#97—31no—
457#97—31no—
458C4×C8—31no—
459C23×C3—61no—
460C22×D3—21no—
461C22×D3—61no—
462C22×D3—61no—
463C22×D3—61no—
464C22×D3—61no—
465C22×D3—121no—
466C22×D3—121no—
467C3×Q8—62no—
468C3×D4—61no—
469C3×D4—61no—
470C2×C3×C4—21no—
471C2×C3×C4—21no—
472C2×C3×C4—21no—
473C2×C3×C4—31no—
474C2×C3×C4—31no—
475C2×C3×C4—31no—
476C2×C3×C4—31no—
477C2×C3×C4—61no—
478C2×C3×C4—61no—
479C2×C3×C4—61no—
480C2×C3×C4—122no—
481C2×C3×C4C2×D1211yescharacteristic
482C2×C3×C4C2×D1211yescharacteristic
483C2×C3×C4D3×D411yescharacteristic
484C2×C3×C4D3×D411yescharacteristic
485C2×C3×C4C23×D311yescharacteristic
486C2×C3×C4C23×D311yescharacteristic
487#67—122no—
488#67—122no—
489#67—241no—
490#67—241no—
491C2×Dic3—21no—
492C2×Dic3—21no—
493C2×Dic3—21no—
494C2×Dic3—61no—
495C2×Dic3—61no—
496C2×Dic3—61no—
497C2×Dic3—61no—
498C2×Dic3—121no—
499C2×Dic3—121no—
500C2×Dic3C2×D1211yescharacteristic
501C2×Dic3C2×D1211yescharacteristic
502C2×Dic3C2×D1211yescharacteristic
503C2×Dic3C2×D1211yescharacteristic
504D12—21no—
505D12—21no—
506D12—61no—
507D12—61no—
508D12—61no—
509D12—61no—
510D12—61no—
511D12—61no—
512D12—61no—
513D12—61no—
514D12—121no—
515D12—121no—
516D12—121no—
517D12—121no—
518D12—122no—
519D12—122no—
520D12—122no—
521D12—122no—
522D12—242no—
523D12—241no—
524D12—241no—
525D12—242no—
526D12—241no—
527D12—241no—
528C4×D3—42no—
529C4×D3—122no—
530C4×D3—122no—
531C4×D3—122no—
532C4×D3—122no—
533Dic6—22no—
534Dic6—32no—
535Dic6—32no—
536Dic6—62no—
537Dic6—61no—
538Dic6—61no—
539Dic6—121no—
540Dic6—122no—
541Dic6—122no—
542C3×C8—21no—
543C3×C8—21no—
544C3×C8—21no—
545C3×C8—21no—
546C3×C8—41no—
547C3×C8—41no—
548C3×C8—61no—
549C3×C8—61no—
550C3⋊C8—21no—
551C3⋊C8—21no—
552C2×C32#54811yescharacteristic
553C2×C32C2×AGL(1,ℤ/8)11yescharacteristic
554C2×C32#57711yescharacteristic
555C3⋊D3—81no—
556C3⋊D3—81no—
557C3×D3—81no—
558#41—364no—
559C2×Q8—31no—
560C2×Q8—91no—
561C2×Q8—181no—
562C2×D4—31no—
563C2×D4—91no—
564C2×D4—91no—
565C2×D4—181no—
566C2×D4—181no—
567C2×D4—181no—
568C2×D4—181no—
569C2×D4—181no—
570C2×D4—181no—
571C22×C4—61no—
572C22×C4—181no—
573C22×C4—181no—
574SD16—182no—
575SD16—182no—
576SD16—182no—
577C2×C8—31no—
578C2×C8—31no—
579C2×C8C2×D3211yescharacteristic
580C2×C8C2×D3211yescharacteristic
581C4⋊C4—31no—
582C4⋊C4—31no—
583C4⋊C4—31no—
584C4⋊C4—31no—
585C4⋊C4—31no—
586C4⋊C4—31no—
587C4⋊C4—61no—
588C4⋊C4—61no—
589C4⋊C4—91no—
590C4⋊C4—181no—
591C4⋊C4—181no—
592C4⋊C4—181no—
593C4⋊C4—181no—
594C4⋊C4—181no—
595C4⋊C4—181no—
596C22⋊C4—61no—
597C22⋊C4—181no—
598C22⋊C4—181no—
599C42—31no—
600C42—31no—
601C42—181no—
602C42—181no—
603C42—181no—
604C42C2×D3211yescharacteristic
605C22×C3—21no—
606C22×C3—121no—
607C22×C3—121no—
608C22×C3—121no—
609C22×C3C22×D1211yescharacteristic
610C22×C3C2×D3×D411yescharacteristic
611C2×D3—41no—
612C2×D3—41no—
613C2×D3—41no—
614C2×D3—121no—
615C2×D3—121no—
616C2×D3—121no—
617C2×D3—121no—
618C2×D3—121no—
619C2×D3—121no—
620C2×D3—121no—
621C2×D3—121no—
622C2×D3—121no—
623C2×D3—121no—
624C2×D3—121no—
625C2×D3—121no—
626C2×D3—241no—
627C2×D3—241no—
628C2×D3—241no—
629C2×D3—241no—
630C2×D3—241no—
631C2×D3—241no—
632C3×C4—22no—
633C3×C4—21no—
634C3×C4—21no—
635C3×C4—21no—
636C3×C4—21no—
637C3×C4—21no—
638C3×C4—21no—
639C3×C4—32no—
640C3×C4—41no—
641C3×C4—61no—
642C3×C4—61no—
643C3×C4—61no—
644C3×C4—121no—
645C3×C4—121no—
646C3×C4—121no—
647C3×C4#100711yescharacteristic
648C3×C4#100711yescharacteristic
649C3×C4D3×#4111yescharacteristic
650C3×C4D3×#4111yescharacteristic
651Dic3—21no—
652Dic3—21no—
653Dic3—21no—
654Dic3—41no—
655Dic3—41no—
656Dic3—41no—
657Dic3—62no—
658Dic3—62no—
659Dic3—122no—
660Dic3—121no—
661Dic3—121no—
662Dic3—241no—
663Dic3#90812yes—
664C32#336811yescharacteristic, complemented, Sylow
665C23—61no—
666C23—181no—
667C23—181no—
668Q8—62no—
669Q8—92no—
670Q8—181no—
671Q8—362no—
672D4—61no—
673D4—61no—
674D4—181no—
675D4—181no—
676D4—181no—
677D4—181no—
678D4—362no—
679D4—362no—
680D4—362no—
681D4—721no—
682D4—721no—
683D4—721no—
684C2×C4—31no—
685C2×C4—31no—
686C2×C4—31no—
687C2×C4—31no—
688C2×C4—61no—
689C2×C4—61no—
690C2×C4—61no—
691C2×C4—122no—
692C2×C4—181no—
693C2×C4—181no—
694C2×C4—362no—
695C2×C4—362no—
696C2×C4D3×D1211yescharacteristic
697C2×C4D3×D1211yescharacteristic
698C2×C4C22×D3211yescharacteristic
699C8—21no—
700C8—21no—
701C8—61no—
702C8—61no—
703C2×C3—21no—
704C2×C3—21no—
705C2×C3—21no—
706C2×C3—241no—
707C2×C3#557611yescharacteristic
708C2×C3#563311yescharacteristic
709C2×C3C2×#90811yescharacteristic
710C2×C3#575111yescharacteristic
711C2×C3#577011yescharacteristic
712C2×C3D3×AGL(1,ℤ/8)11yescharacteristic
713D3—81no—
714D3—241no—
715D3—241no—
716D3—241no—
717D3—241no—
718D3—481no—
719D3—481no—
720C22—121no—
721C22—121no—
722C22—121no—
723C22—361no—
724C22—361no—
725C22—361no—
726C22—361no—
727C22—361no—
728C22—361no—
729C22C2×D3×D1211yescharacteristic
730C4—21no—
731C4—21no—
732C4—32no—
733C4—61no—
734C4—61no—
735C4—61no—
736C4—121no—
737C4—121no—
738C4—121no—
739C4—182no—
740C4—361no—
741C4#6431211yescharacteristic
742C4#6431611yescharacteristic
743C3—21no—
744C3#7998011yescharacteristic, complemented
745C3#8115311yescharacteristic, complemented
746C2—241no—
747C2—721no—
748C2—721no—
749C2#1059432911yescharacteristic
750C2#1059467911yescharacteristic
751C2D3×#90811yescharacteristic
subgroupG/H
centerC22C2×D3×D12
commutator, cosocleC2×C32×C4C24
FrattiniC2×C4C22×D32
FittingC32×C4⋊C8C22
socleC22×C32C22×D4
prime radical#10593902C2
hypercenterC4⋊C8D32
hypocenterC32#3368
LCSG ▷ C2×C32×C4 ▷ C2×C32 ▷ C32
UCSC1 ◁ C22 ◁ C42 ◁ C4⋊C8

Complements

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

NH ≅ G/Ntype
2. #10593852C2semidirect
3. #10592547C2semidirect
4. C3×#4847C2semidirect
5. C3×#4828C2semidirect
6. #10590882C2semidirect
7. #10590879C2semidirect
8. #10590879C2semidirect
9. #10590878C2semidirect
10. #10590773C2semidirect
11. #10590769C2semidirect
12. #10590764C2semidirect
13. #10590758C2semidirect
14. #10590360C2semidirect
15. #10590282C2semidirect
79. #4847D3semidirect
81. #4828D3semidirect
248. #634#41semidirect
664. C32#3368semidirect
744. C3#79980semidirect
745. C3#81153semidirect

Maximal subgroups

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

subgroupindex
#105939022
#105938522
#105925472
C3×#48472
C3×#48282
#105908822
#105908792
#105908782
#105907732
#105907692
#105907642
#105907582
#105903602
#105902822
#811533
#799803