Finite Group Databasebeta

← #26273785

Subgroups — #26273785

Order 12032.

988 conjugacy classes of subgroups.

The subgroup lattice has 706 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#15689423C211yesmaximal, characteristic, complemented
2C2×#15689124C211yesmaximal, characteristic
3#20247112C211yesmaximal, characteristic, complemented
4#20244936C211yesmaximal, characteristic, complemented
5#20244783C211yesmaximal, characteristic, complemented
6#20244783C211yesmaximal, characteristic, complemented
7#20244539C211yesmaximal, characteristic, complemented
8#20243635C211yesmaximal, characteristic, complemented
9#20243635C211yesmaximal, characteristic, complemented
10#20243575C211yesmaximal, characteristic, complemented
11#20243573C211yesmaximal, characteristic, complemented
12#20243419C211yesmaximal, characteristic, complemented
13#20243398C211yesmaximal, characteristic, complemented
14#20243328C211yesmaximal, characteristic
15C47×#2339C211yesmaximal, characteristic
16C22×#10625329C2211yescharacteristic
17C2×#13094016C2211yescharacteristic
18C22×C4⋊Dic47C2211yescharacteristic
19#15689423—24no—
20C2×#13093957C2211yescharacteristic
21C2×#13093957C2211yescharacteristic
22C2×#13093957C2211yescharacteristic
23C2×#13093955C2211yescharacteristic
24C2×C4⋊(C47⋊C8)C2211yescharacteristic
25C2×C4⋊(C47⋊C8)C2211yescharacteristic
26#15689124—24no—
27C2×#13093948C2211yescharacteristic
28C2×#13093948C2211yescharacteristic
29C2×#13093948C2211yescharacteristic
30C2×#13093948C2211yescharacteristic
31C2×#13093945C2211yescharacteristic
32C2×#13093945C2211yescharacteristic
33C2×#13093945C2211yescharacteristic
34C2×#13093945C2211yescharacteristic
35C2×C22⋊(C47⋊C8)C2211yescharacteristic
36#15689065—21no—
37#15689057—21no—
38#15689021C2211yescharacteristic
39#15689021C2211yescharacteristic
40#15688995—21no—
41#15688989C2211yescharacteristic
42#15688983C2211yescharacteristic
43#15688981—21no—
44#15688885C2211yescharacteristic
45#15688885C2211yescharacteristic
46#15688885C2211yescharacteristic
47#15688885C2211yescharacteristic
48#15688878C2211yescharacteristic
49#15688878C2211yescharacteristic
50C22×#41×C47C2211yescharacteristic
51C2×C4×D4×C47C2211yescharacteristic
52C2×C4×D4×C47C2211yescharacteristic
53C47×#391C2211yescharacteristic
54C47×#391C2211yescharacteristic
55C47×#386—21no—
56C47×#386—21no—
57C47×#381—21no—
58C47×#380C2211yescharacteristic
59C4×C22⋊C4×C47C2211yescharacteristic
60C2×#95×C47—21no—
61C23×Dic47—21no—
62C2×#10625329—22no—
63C2×#10625329—22no—
64C2×#10625329—41no—
65C22×C47⋊C8C2311yescharacteristic
66C22×C47⋊C8C2311yescharacteristic
67C22×C47⋊C8C2311yescharacteristic
68C22×C47⋊C8C2311yescharacteristic
69#13094016—22no—
70#13094016—41no—
71C2×C4⋊Dic47—22no—
72C2×C4⋊Dic47—21no—
73C2×C4⋊Dic47—41no—
74C2×C4⋊Dic47C2311yescharacteristic
75C2×C4⋊Dic47C2311yescharacteristic
76C2×C4⋊Dic47C2311yescharacteristic
77C2×C4⋊Dic47C2311yescharacteristic
78C2×Dic47⋊C4—21no—
79C2×Dic47⋊C4—21no—
80C2×Dic47⋊C4—21no—
81C2×Dic47⋊C4—21no—
82C2×C22⋊Dic47—21no—
83#13093957—22no—
84#13093957—41no—
85#13093957—41no—
86#13093955—22no—
87C4⋊(C47⋊C8)—22no—
88C4⋊(C47⋊C8)—41no—
89#13093948—22no—
90#13093948—22no—
91#13093948—41no—
92#13093948—41no—
93#13093945—22no—
94#13093945—22no—
95#13093945—22no—
96#13093945D414yes—
97C22⋊(C47⋊C8)—22no—
98C47⋊#95—21no—
99C47⋊#95—21no—
100C47⋊#95—21no—
101C47⋊#95—21no—
102C47⋊#95—21no—
103C2×#41×C47—22no—
104C2×#41×C47—22no—
105C2×#41×C47—22no—
106C2×#41×C47—41no—
107C2×#41×C47—41no—
108C2×#41×C47Q814yes—
109C22×Q8×C47C2311yescharacteristic
110C22×D4×C47—21no—
111C22×D4×C47C2311yescharacteristic
112C23×C4×C47—21no—
113C23×C4×C47—21no—
114C23×C4×C47—21no—
115C23×C4×C47C2311yescharacteristic
116C4×D4×C47—22no—
117C4×D4×C47—22no—
118C4×D4×C47—41no—
119C4×D4×C47—41no—
120C2×C4⋊C4×C47C2311yescharacteristic
121C2×C4⋊C4×C47C2311yescharacteristic
122C2×C22⋊C4×C47—21no—
123C2×C22⋊C4×C47—21no—
124C2×C22⋊C4×C47—21no—
125C2×C22⋊C4×C47D411yescharacteristic
126C2×C22⋊C4×C47D411yescharacteristic
127C2×C42×C47C2311yescharacteristic
128C2×C42×C47C2311yescharacteristic
129#95×C47—21no—
130#95×C47—21no—
131#95×C47—21no—
132#95×C47—21no—
133#95×C47—21no—
134#95×C47D411yescharacteristic
135#95×C47D411yescharacteristic
136C24×C47—21no—
137C24×C47C2×D411yescharacteristic
138#41×C47—28no—
139#41×C47—44no—
140#41×C47—44no—
141#41×C47—44no—
142C2×Q8×C47—21no—
143C2×Q8×C47—21no—
144C2×Q8×C47—21no—
145C2×Q8×C47—21no—
146C2×Q8×C47—21no—
147C2×Q8×C47C2×Q812yes—
148C2×D4×C47—24no—
149C2×D4×C47—21no—
150C2×D4×C47—21no—
151C2×D4×C47—21no—
152C2×D4×C47—42no—
153C2×D4×C47—42no—
154C2×D4×C47C2×D412yes—
155C2×D4×C47C2×Q812yes—
156C2×D4×C47#4112yes—
157C22×C4×C47—21no—
158C22×C4×C47—21no—
159C22×C4×C47—21no—
160C22×C4×C47—21no—
161C22×C4×C47—21no—
162C22×C4×C47—24no—
163C22×C4×C47—21no—
164C22×C4×C47—21no—
165C22×C4×C47—42no—
166C22×C4×C47—42no—
167C22×C4×C47—42no—
168C22×C4×C47—42no—
169C22×C4×C47—42no—
170C22×C4×C47—42no—
171C22×C4×C47—81no—
172C22×C4×C47—81no—
173C22×C4×C47C2×D411yescharacteristic
174C22×C4×C47C2×D411yescharacteristic
175C22×C4×C47C2×D411yescharacteristic
176C22×C4×C47C2×D411yescharacteristic
177C22×C4×C47C2×D411yescharacteristic
178C22×C4×C47C2×Q812yes—
179C22×C4×C47#4112yes—
180C22×C4×C47C2411yescharacteristic
181C22×Dic47—21no—
182C22×Dic47—21no—
183C22×Dic47—21no—
184C22×Dic47—21no—
185C22×Dic47—42no—
186C22×Dic47—42no—
187C22×Dic47—81no—
188C4⋊C4×C47—21no—
189C4⋊C4×C47—21no—
190C4⋊C4×C47—21no—
191C4⋊C4×C47—21no—
192C22⋊C4×C47—41no—
193C22⋊C4×C47—41no—
194C22⋊C4×C47—42no—
195C22⋊C4×C47—42no—
196C22⋊C4×C47—81no—
197C42×C47—21no—
198C42×C47—21no—
199C42×C47—21no—
200C42×C47—21no—
201C22⋊Dic47—42no—
202C4⋊Dic47—21no—
203C4⋊Dic47—21no—
204C4⋊Dic47—21no—
205C4⋊Dic47—21no—
206C4⋊Dic47—21no—
207C4⋊Dic47—21no—
208C4⋊Dic47—21no—
209C4⋊Dic47—42no—
210C4⋊Dic47C2×D412yes—
211Dic47⋊C4—42no—
212Dic47⋊C4—42no—
213Dic47⋊C4—81no—
214Dic47⋊C4—81no—
215#10625329—44no—
216C2×C47⋊C8—21no—
217C2×C47⋊C8—21no—
218C2×C47⋊C8—21no—
219C2×C47⋊C8—21no—
220C2×C47⋊C8—21no—
221C2×C47⋊C8—21no—
222C2×C47⋊C8—21no—
223C2×C47⋊C8—21no—
224C2×C47⋊C8—21no—
225C2×C47⋊C8—21no—
226C2×C47⋊C8—21no—
227C2×C47⋊C8C2×D412yes—
228C23×C47—22no—
229C23×C47—22no—
230C23×C47—21no—
231C23×C47—22no—
232C23×C47—21no—
233C23×C47—21no—
234C23×C47—21no—
235C23×C47—21no—
236C23×C47—21no—
237C23×C47—41no—
238C23×C47—41no—
239C23×C47—41no—
240C23×C47—41no—
241C23×C47C22⋊Q812yes—
242C23×C47C22×D411yescharacteristic
243Q8×C47—22no—
244Q8×C47—22no—
245Q8×C47—41no—
246Q8×C47—41no—
247D4×C47—22no—
248D4×C47—22no—
249D4×C47—22no—
250D4×C47—48no—
251D4×C47C22⋊Q814yes—
252C2×C4×C47—21no—
253C2×C4×C47—21no—
254C2×C4×C47—22no—
255C2×C4×C47—22no—
256C2×C4×C47—22no—
257C2×C4×C47—22no—
258C2×C4×C47—22no—
259C2×C4×C47—21no—
260C2×C4×C47—21no—
261C2×C4×C47—21no—
262C2×C4×C47—21no—
263C2×C4×C47—21no—
264C2×C4×C47—21no—
265C2×C4×C47—21no—
266C2×C4×C47—21no—
267C2×C4×C47—21no—
268C2×C4×C47—21no—
269C2×C4×C47—21no—
270C2×C4×C47—21no—
271C2×C4×C47—48no—
272C2×C4×C47—41no—
273C2×C4×C47—41no—
274C2×C4×C47—41no—
275C2×C4×C47—41no—
276C2×C4×C47—41no—
277C2×C4×C47—41no—
278C2×C4×C47—41no—
279C2×C4×C47—41no—
280C2×C4×C47—84no—
281C2×C4×C47—84no—
282C2×C4×C47C22⋊Q812yes—
283C2×C4×C47C22×D411yescharacteristic
284C2×C4×C47C22×Q811yescharacteristic
285C2×C4×C47C2×#4111yescharacteristic
286C2×C4×C47C2×#4111yescharacteristic
287C2×C4×C47H(5,𝔽2)11yescharacteristic
288C2×C4×C47H(5,𝔽2)11yescharacteristic
289C2×Dic47—22no—
290C2×Dic47—41no—
291C2×Dic47—41no—
292C2×Dic47—41no—
293C2×Dic47—41no—
294C2×Dic47—41no—
295C2×Dic47—41no—
296C2×Dic47—41no—
297C2×Dic47—41no—
298C2×Dic47—41no—
299C2×Dic47—41no—
300C2×Dic47—41no—
301C2×Dic47—84no—
302C47⋊C8—22no—
303C47⋊C8—41no—
304C47⋊C8—41no—
305C47⋊C8—41no—
306#25980—471nomaximal, Sylow
307C22×C47—22no—
308C22×C47—22no—
309C22×C47—22no—
310C22×C47—24no—
311C22×C47—42no—
312C22×C47—42no—
313C22×C47—41no—
314C22×C47—42no—
315C22×C47—41no—
316C22×C47—42no—
317C22×C47—41no—
318C22×C47—42no—
319C22×C47—42no—
320C22×C47—41no—
321C22×C47C2×C22⋊Q811yescharacteristic
322C22×C47D4211yescharacteristic
323C22×C47#54611yescharacteristic
324C22×C47#57511yescharacteristic
325C22×C47#57511yescharacteristic
326C22×C47#57611yescharacteristic
327C22×C47#57811yescharacteristic
328C4×C47—22no—
329C4×C47—42no—
330C4×C47—41no—
331C4×C47—41no—
332C4×C47—41no—
333C4×C47—41no—
334C4×C47—81no—
335C4×C47—81no—
336C4×C47C2×C22⋊Q811yescharacteristic
337C4×C47#54311yescharacteristic
338C4×C47#54611yescharacteristic
339C4×C47#55111yescharacteristic
340Dic47—42no—
341Dic47—81no—
342Dic47—81no—
343Dic47—81no—
344C2×#478—471no—
345C2×#417—471no—
346#2442—471no—
347#2339D4711yescharacteristic
348#2097—471no—
349#2068—471no—
350#2068—471no—
351#2026—471no—
352#1862—471no—
353#1862—471no—
354#1852—471no—
355#1851—471no—
356#1809—471no—
357#1804—471no—
358#1788—471no—
359C2×C47—42no—
360C2×C47—44no—
361C2×C47#243711yescharacteristic
362C2×C47#308011yescharacteristic
363C2×C47#308311yescharacteristic
364C2×C47#326911yescharacteristic
365C2×C47#327311yescharacteristic
366C2×C47#331511yescharacteristic
367C2×C47#332211yescharacteristic
368C22×#41C2×D4711yescharacteristic
369C22×M16—471no—
370C2×#125—471no—
371C2×C4×D4C2×D4711yescharacteristic
372C2×C4×D4C2×D4711yescharacteristic
373C22×C4⋊C4—471no—
374#478—944no—
375C2×#107—471no—
376C2×#107—471no—
377C2×#107—471no—
378C2×#106—471no—
379C2×C4⋊C8—471no—
380C2×C4⋊C8—471no—
381#417—944no—
382C2×#103—471no—
383C2×#103—471no—
384C2×#103—471no—
385C2×#103—471no—
386C2×#102—471no—
387C2×#102—471no—
388C2×#102—471no—
389C2×#102—471no—
390C2×C22⋊C8—471no—
391#400—941no—
392#398—941no—
393#391C2×D4711yescharacteristic
394#391C2×D4711yescharacteristic
395#389—471no—
396#389—471no—
397#386—21no—
398#386—21no—
399#385—941no—
400#382—471no—
401#381—21no—
402#380—471no—
403#380—941no—
404#380C2×D4711yescharacteristic
405C4×C22⋊C4C2×D4711yescharacteristic
406C2×#95—21no—
407#340—471no—
408#340—471no—
409#340—471no—
410#340—471no—
411#336—471no—
412#336—471no—
413C47#2598011yescharacteristic, complemented, Sylow
414C2×#41—22no—
415C2×#41—22no—
416C2×#41—22no—
417C2×#41—41no—
418C2×#41—41no—
419C2×#41Dic9414yes—
420C22×Q8C22×D4711yescharacteristic
421C22×D4—21no—
422C22×D4C22×D4711yescharacteristic
423C23×C4—21no—
424C23×C4—21no—
425C23×C4—21no—
426C23×C4—941no—
427C23×C4C22×D4711yescharacteristic
428C2×M16—942no—
429C2×M16—942no—
430C2×M16—1881no—
431C22×C8—471no—
432C22×C8—471no—
433C22×C8—471no—
434C22×C8—471no—
435#125—942no—
436#125—1881no—
437C4×D4—22no—
438C4×D4—22no—
439C4×D4—41no—
440C4×D4—41no—
441C2×C4⋊C4—471no—
442C2×C4⋊C4—471no—
443C2×C4⋊C4—471no—
444C2×C4⋊C4—471no—
445C2×C4⋊C4—942no—
446C2×C4⋊C4—941no—
447C2×C4⋊C4—941no—
448C2×C4⋊C4—941no—
449C2×C4⋊C4—941no—
450C2×C4⋊C4—941no—
451C2×C4⋊C4—1881no—
452C2×C4⋊C4C22×D4711yescharacteristic
453C2×C4⋊C4C22×D4711yescharacteristic
454C2×C22⋊C4—21no—
455C2×C22⋊C4—21no—
456C2×C22⋊C4—21no—
457C2×C22⋊C4—941no—
458C2×C22⋊C4C22⋊D4711yescharacteristic
459C2×C22⋊C4C22⋊D4711yescharacteristic
460C2×C42C22×D4711yescharacteristic
461C2×C42C22×D4711yescharacteristic
462#107—942no—
463#107—1881no—
464#107—1881no—
465#106—942no—
466C4⋊C8—942no—
467C4⋊C8—1881no—
468#103—942no—
469#103—942no—
470#103—1881no—
471#103—1881no—
472#102—474no—
473#102—942no—
474#102—942no—
475#102—942no—
476C22⋊C8—942no—
477#95—21no—
478#95—21no—
479#95—21no—
480#95—21no—
481#95—21no—
482#95—941no—
483#95—941no—
484#95—941no—
485#95—941no—
486#95—941no—
487#95C22⋊D4711yescharacteristic
488#95C22⋊D4711yescharacteristic
489C24—21no—
490C24C2×C22⋊D4711yescharacteristic
491#41—28no—
492#41—44no—
493#41—44no—
494#41—44no—
495C2×Q8—21no—
496C2×Q8—21no—
497C2×Q8—21no—
498C2×Q8—21no—
499C2×Q8—21no—
500C2×Q8C2×Dic9412yes—
501C2×D4—24no—
502C2×D4—21no—
503C2×D4—21no—
504C2×D4—21no—
505C2×D4—42no—
506C2×D4—42no—
507C2×D4C2×Dic9412yes—
508C2×D4D4×D4712yes—
509C2×D4#1062535212yes—
510C22×C4—21no—
511C22×C4—21no—
512C22×C4—21no—
513C22×C4—21no—
514C22×C4—21no—
515C22×C4—24no—
516C22×C4—21no—
517C22×C4—21no—
518C22×C4—42no—
519C22×C4—42no—
520C22×C4—42no—
521C22×C4—42no—
522C22×C4—42no—
523C22×C4—42no—
524C22×C4—81no—
525C22×C4—81no—
526C22×C4—941no—
527C22×C4—941no—
528C22×C4—941no—
529C22×C4—941no—
530C22×C4—3761no—
531C22×C4—1882no—
532C22×C4—1882no—
533C22×C4C2×Dic9412yes—
534C22×C4#1062535012yes—
535C22×C4C2×C22⋊D4711yescharacteristic
536C22×C4C2×C22⋊D4711yescharacteristic
537C22×C4C2×C22⋊D4711yescharacteristic
538C22×C4C2×C22⋊D4711yescharacteristic
539C22×C4C2×C22⋊D4711yescharacteristic
540C22×C4C23×D4711yescharacteristic
541M16—1884no—
542C2×C8—472no—
543C2×C8—941no—
544C2×C8—941no—
545C2×C8—941no—
546C2×C8—941no—
547C2×C8—941no—
548C2×C8—941no—
549C2×C8—941no—
550C2×C8—941no—
551C2×C8—941no—
552C2×C8—941no—
553C2×C8—941no—
554C4⋊C4—21no—
555C4⋊C4—21no—
556C4⋊C4—21no—
557C4⋊C4—21no—
558C4⋊C4—472no—
559C4⋊C4—941no—
560C4⋊C4—941no—
561C4⋊C4—941no—
562C4⋊C4—941no—
563C4⋊C4—941no—
564C4⋊C4—941no—
565C4⋊C4—941no—
566C4⋊C4—3761no—
567C4⋊C4—3761no—
568C4⋊C4—1882no—
569C4⋊C4—1882no—
570C4⋊C4—1882no—
571C22⋊C4—41no—
572C22⋊C4—41no—
573C22⋊C4—42no—
574C22⋊C4—42no—
575C22⋊C4—81no—
576C22⋊C4—1882no—
577C42—21no—
578C42—21no—
579C42—21no—
580C42—21no—
581C23—22no—
582C23—21no—
583C23—22no—
584C23—21no—
585C23—22no—
586C23—21no—
587C23—21no—
588C23—21no—
589C23—21no—
590C23—41no—
591C23—41no—
592C23—41no—
593C23—41no—
594C23#1309400312yes—
595C23C22×C22⋊D4711yescharacteristic
596Q8—22no—
597Q8—22no—
598Q8—41no—
599Q8—41no—
600D4—22no—
601D4—22no—
602D4—22no—
603D4—48no—
604D4#1309400114yes—
605C2×C4—21no—
606C2×C4—21no—
607C2×C4—22no—
608C2×C4—22no—
609C2×C4—22no—
610C2×C4—22no—
611C2×C4—21no—
612C2×C4—21no—
613C2×C4—21no—
614C2×C4—21no—
615C2×C4—22no—
616C2×C4—21no—
617C2×C4—21no—
618C2×C4—21no—
619C2×C4—21no—
620C2×C4—21no—
621C2×C4—21no—
622C2×C4—21no—
623C2×C4—21no—
624C2×C4—48no—
625C2×C4—41no—
626C2×C4—41no—
627C2×C4—41no—
628C2×C4—41no—
629C2×C4—41no—
630C2×C4—41no—
631C2×C4—41no—
632C2×C4—41no—
633C2×C4—84no—
634C2×C4—84no—
635C2×C4—942no—
636C2×C4—3764no—
637C2×C4—1881no—
638C2×C4—1881no—
639C2×C4—1881no—
640C2×C4—1881no—
641C2×C4—1881no—
642C2×C4—1881no—
643C2×C4—1881no—
644C2×C4—1881no—
645C2×C4—1881no—
646C2×C4—1881no—
647C2×C4—1881no—
648C2×C4#1309400312yes—
649C2×C4C2×D4×D4711yescharacteristic
650C2×C4C22×Dic9411yescharacteristic
651C2×C4C2×#1062535211yescharacteristic
652C2×C4C2×#1062535011yescharacteristic
653C2×C4#1309406911yescharacteristic
654C2×C4#1309406911yescharacteristic
655C8—942no—
656C8—1881no—
657C8—1881no—
658C8—1881no—
659C22—22no—
660C22—24no—
661C22—22no—
662C22—22no—
663C22—42no—
664C22—41no—
665C22—42no—
666C22—42no—
667C22—42no—
668C22—41no—
669C22—41no—
670C22—42no—
671C22—41no—
672C22—42no—
673C22C2×#1309400311yescharacteristic
674C22D4×C22⋊D4711yescharacteristic
675C22#1568976711yescharacteristic
676C22#1568992111yescharacteristic
677C22#1568992111yescharacteristic
678C22#1568992611yescharacteristic
679C22#1568993811yescharacteristic
680C4—22no—
681C4—42no—
682C4—41no—
683C4—41no—
684C4—41no—
685C4—41no—
686C4—81no—
687C4—81no—
688C4—3761no—
689C4—3761no—
690C4—3761no—
691C4—1882no—
692C4C2×#1309400111yescharacteristic
693C4#1568974911yescharacteristic
694C4#1568976311yescharacteristic
695C4#1568979911yescharacteristic
696C2—42no—
697C2—44no—
698C2#2024704911yescharacteristic
699C2#2025321011yescharacteristic
700C2#2025323911yescharacteristic
701C2#2025493911yescharacteristic
702C2#2025499511yescharacteristic
703C2#2025548411yescharacteristic
704C2#2025558911yescharacteristic
subgroupG/H
centerC23C22×C22⋊D47
commutator, cosocleC22×C4×C47C24
FrattiniC22×C4C23×D47
FittingC47×#2339C2
socleC23×C47C22×D4
prime radicalC22×#41×C47C22
hypercenter#2339D47
hypocenterC47#25980
LCSG ▷ C22×C4×C47 ▷ C2×C47 ▷ C47
UCSC1 ◁ C23 ◁ C4×C22⋊C4 ◁ #2339

Complements

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

NH ≅ G/Ntype
1. C2×#15689423C2semidirect
3. #20247112C2semidirect
4. #20244936C2semidirect
5. #20244783C2semidirect
6. #20244783C2semidirect
7. #20244539C2semidirect
8. #20243635C2semidirect
9. #20243635C2semidirect
10. #20243575C2semidirect
11. #20243573C2semidirect
12. #20243419C2semidirect
13. #20243398C2semidirect
413. C47#25980semidirect

Maximal subgroups

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

subgroupindex
C2×#156894232
C2×#156891242
#202471122
#202449362
#202447832
#202445392
#202436352
#202435752
#202435732
#202434192
#202433982
#202433282
C47×#23392
#2598047