Finite Group Databasebeta

← #25101756

Subgroups — #25101756

Order 11008.

1086 conjugacy classes of subgroups.

The subgroup lattice has 676 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#14583507C211yesmaximal, characteristic
2C2×#14582961C211yesmaximal, characteristic
3#19136949C211yesmaximal, characteristic
4#19135551C211yesmaximal, characteristic, complemented
5#19135549C211yesmaximal, characteristic, complemented
6#19135516C211yesmaximal, characteristic, complemented
7#19135516C211yesmaximal, characteristic, complemented
8#19134906C211yesmaximal, characteristic
9#19134904C211yesmaximal, characteristic
10#19134901C211yesmaximal, characteristic
11#19134899C211yesmaximal, characteristic
12#19134426C211yesmaximal, characteristic, complemented
13C4×#13063248C211yesmaximal, characteristic, complemented
14C4×#13063249C211yesmaximal, characteristic, complemented
15C43×#1763C211yesmaximal, characteristic, complemented
16#14583507—24no—
17#14583507C418yescomplemented
18C2×#13063323C2211yescharacteristic
19C2×#13063320—21no—
20C2×#13063319—21no—
21C2×#13063317—21no—
22C2×#13063316C2211yescharacteristic
23C2×#13063315—21no—
24C2×#13063305C2211yescharacteristic
25C2×#13063301C2211yescharacteristic
26C2×C4×Dic86C2211yescharacteristic
27C2×#13063283C2211yescharacteristic
28C2×#13063282C2211yescharacteristic
29C2×C4⋊C4×D43C2211yescharacteristic
30#14582961—24no—
31C2×Dic43⋊C8C2211yescharacteristic
32C2×Dic43⋊C8C2211yescharacteristic
33C2×#13063250C2211yescharacteristic
34C2×#13063250C2211yescharacteristic
35C2×#13063249C2211yescharacteristic
36C2×#13063249C2211yescharacteristic
37C2×#13063248C2211yescharacteristic
38C2×#13063248C2211yescharacteristic
39C2×(C2×D43)⋊C8C2211yescharacteristic
40C2×(C2×D43)⋊C8C2211yescharacteristic
41C2×C4×C43⋊C8C2211yescharacteristic
42C4⋊C4×Dic43C2211yescharacteristic
43C4⋊C4×Dic43C2211yescharacteristic
44C4×Dic43⋊C4—21no—
45C4×C4⋊Dic43C2211yescharacteristic
46#14582750—21no—
47C4×(C2×D43)⋊C4—21no—
48#14582746—21no—
49#14582662C2211yescharacteristic
50#14582662C2211yescharacteristic
51#14582661C2211yescharacteristic
52#14582661C2211yescharacteristic
53#14582661C2211yescharacteristic
54#14582661C2211yescharacteristic
55C2×C4×Q8×C43C2211yescharacteristic
56C2×#103×C43C2211yescharacteristic
57C2×#103×C43C2211yescharacteristic
58C2×#97×C43C2211yescharacteristic
59C4×C4⋊C4×C43C2211yescharacteristic
60C43×#340C2211yescharacteristic
61C43×#340C2211yescharacteristic
62C22×Dic86C2311yescharacteristic
63C22×C4×D43—21no—
64C22×C4×D43C2311yescharacteristic
65C22×C43⋊C8C2311yescharacteristic
66C22×C43⋊C8C2311yescharacteristic
67#13063323—22no—
68#13063323C2×C414yescomplemented
69#13063320—28no—
70#13063319—28no—
71#13063317—28no—
72#13063316—22no—
73#13063316C2×C414yescomplemented
74#13063315—28no—
75#13063305—22no—
76#13063305C2×C414yes—
77#13063301—22no—
78#13063301C2×C414yes—
79C4×Dic86—22no—
80C4×Dic86C2×C414yescomplemented
81#13063283—22no—
82#13063283—22no—
83#13063282C2×C414yes—
84#13063282D414yes—
85C2×C4⋊Dic43—21no—
86C2×C4⋊Dic43—21no—
87C2×C4⋊Dic43C2311yescharacteristic
88C2×C4⋊Dic43C2311yescharacteristic
89C2×C4⋊Dic43C2311yescharacteristic
90C2×Dic43⋊C4—21no—
91C2×Dic43⋊C4—21no—
92C2×Dic43⋊C4—21no—
93C2×Dic43⋊C4—21no—
94C2×Dic43⋊C4—21no—
95C2×Dic43⋊C4—21no—
96C2×Dic43⋊C4D411yescharacteristic
97C2×Dic43⋊C4D411yescharacteristic
98C4⋊C4×D43—22no—
99C4⋊C4×D43—22no—
100C2×(C2×D43)⋊C4—21no—
101C2×(C2×D43)⋊C4—21no—
102C2×(C2×D43)⋊C4—21no—
103C2×(C2×D43)⋊C4D411yescharacteristic
104C2×(C2×D43)⋊C4D411yescharacteristic
105C2×C4×Dic43—21no—
106C2×C4×Dic43—21no—
107C2×C4×Dic43—21no—
108C2×C4×Dic43—21no—
109C2×C4×Dic43—21no—
110C2×C4×Dic43C2311yescharacteristic
111Dic43⋊C8—22no—
112Dic43⋊C8—22no—
113#13063250—22no—
114#13063250—22no—
115#13063249—22no—
116#13063249—22no—
117#13063248—22no—
118#13063248—22no—
119(C2×D43)⋊C8—22no—
120(C2×D43)⋊C8—22no—
121C4×C43⋊C8—22no—
122C43⋊#95—21no—
123C43⋊#95—21no—
124C43⋊#95—21no—
125C22×Q8×C43C2311yescharacteristic
126C22×C8×C43C2311yescharacteristic
127C22×C8×C43C2311yescharacteristic
128C4×Q8×C43—22no—
129C4×Q8×C43C2×C414yescomplemented
130C2×C4⋊C4×C43—21no—
131C2×C4⋊C4×C43C2311yescharacteristic
132C2×C4⋊C4×C43C2311yescharacteristic
133C2×C4⋊C4×C43C2311yescharacteristic
134C2×C42×C43—21no—
135C2×C42×C43—21no—
136C2×C42×C43C2311yescharacteristic
137#103×C43—22no—
138#103×C43—22no—
139#97×C43—22no—
140#95×C43—21no—
141C23×D43C2×D411yescharacteristic
142C2×Q8×C43—21no—
143C2×Q8×C43—21no—
144C2×Q8×C43—21no—
145C2×Q8×C43—21no—
146C2×Q8×C43—21no—
147C2×Q8×C43C22×C412yes—
148C22×C4×C43—21no—
149C22×C4×C43—21no—
150C22×C4×C43—21no—
151C22×C4×C43—21no—
152C22×C4×C43C2×D411yescharacteristic
153C22×C4×C43C2×D411yescharacteristic
154C22×C4×C43C2411yescharacteristic
155C22×Dic43—21no—
156C22×Dic43—21no—
157C22×Dic43—21no—
158C22×Dic43—21no—
159C22×Dic43C2×D411yescharacteristic
160C22×Dic43C2×D411yescharacteristic
161C22×Dic43C2×D411yescharacteristic
162C2×C4×D43—21no—
163C2×C4×D43—21no—
164C2×C4×D43—21no—
165C2×C4×D43—21no—
166C2×C4×D43—24no—
167C2×C4×D43—81no—
168C2×C4×D43—81no—
169C2×C4×D43C22×C412yes—
170C2×C4×D43C2×D412yes—
171C2×Dic86—21no—
172C2×Dic86—21no—
173C2×Dic86—21no—
174C2×Dic86—21no—
175C2×Dic86—21no—
176C2×Dic86C22×C412yes—
177C2×C8×C43—21no—
178C2×C8×C43—21no—
179C2×C8×C43—21no—
180C2×C8×C43—21no—
181C2×C8×C43—21no—
182C2×C8×C43—21no—
183C4⋊C4×C43—24no—
184C4⋊C4×C43—21no—
185C4⋊C4×C43—21no—
186C4⋊C4×C43—21no—
187C4⋊C4×C43C22×C412yes—
188C4⋊C4×C43#4112yes—
189C4⋊C4×C43#4112yes—
190C42×C43—24no—
191C42×C43—81no—
192C42×C43C22×C412yes—
193C42×C43C2×D412yes—
194(C2×D43)⋊C4—24no—
195(C2×D43)⋊C4—24no—
196(C2×D43)⋊C4—24no—
197(C2×D43)⋊C4C22⋊C414yes—
198(C2×D43)⋊C4C22⋊C414yes—
199C4⋊Dic43—21no—
200C4⋊Dic43—21no—
201C4⋊Dic43—21no—
202C4⋊Dic43—24no—
203C4⋊Dic43—24no—
204C4⋊Dic43C22×C412yes—
205C4⋊Dic43#4112yes—
206C4⋊Dic43#4112yes—
207Dic43⋊C4—24no—
208Dic43⋊C4—24no—
209Dic43⋊C4—24no—
210Dic43⋊C4—24no—
211Dic43⋊C4—24no—
212Dic43⋊C4—24no—
213Dic43⋊C4C22⋊C414yes—
214Dic43⋊C4C22⋊C414yes—
215C4×Dic43—24no—
216C4×Dic43—24no—
217C4×Dic43—81no—
218C4×Dic43—81no—
219C4×Dic43—81no—
220C4×Dic43C22×C412yes—
221C4×Dic43C2×D412yes—
222C2×C43⋊C8—21no—
223C2×C43⋊C8—21no—
224C2×C43⋊C8—21no—
225C2×C43⋊C8—21no—
226C2×C43⋊C8—21no—
227C2×C43⋊C8—21no—
228C23×C43C22×D411yescharacteristic
229C22×D43—21no—
230C22×D43—21no—
231C22×D43—21no—
232C22×D43—21no—
233C22×D43—21no—
234C22×D43—21no—
235C22×D43C2×C22⋊C412yes—
236Q8×C43—22no—
237Q8×C43—22no—
238Q8×C43—41no—
239Q8×C43—41no—
240C2×C4×C43—21no—
241C2×C4×C43—21no—
242C2×C4×C43—21no—
243C2×C4×C43—21no—
244C2×C4×C43—22no—
245C2×C4×C43—22no—
246C2×C4×C43—22no—
247C2×C4×C43—22no—
248C2×C4×C43—41no—
249C2×C4×C43—41no—
250C2×C4×C43—41no—
251C2×C4×C43—41no—
252C2×C4×C43—41no—
253C2×C4×C43—41no—
254C2×C4×C43—41no—
255C2×C4×C43—41no—
256C2×C4×C43C2×C22⋊C412yes—
257C2×C4×C43C2×C22⋊C412yes—
258C2×C4×C43C23×C411yescharacteristic
259C2×C4×C43C22×D411yescharacteristic
260C2×C4×C43C2×#4111yescharacteristic
261C2×C4×C43C2×#4111yescharacteristic
262C2×C4×C43C2×#4111yescharacteristic
263C2×C4×C43C2×#4111yescharacteristic
264C2×Dic43—21no—
265C2×Dic43—21no—
266C2×Dic43—21no—
267C2×Dic43—21no—
268C2×Dic43—21no—
269C2×Dic43—21no—
270C2×Dic43—22no—
271C2×Dic43—22no—
272C2×Dic43—22no—
273C2×Dic43—22no—
274C2×Dic43—41no—
275C2×Dic43—41no—
276C2×Dic43—41no—
277C2×Dic43—41no—
278C2×Dic43—41no—
279C2×Dic43—41no—
280C2×Dic43—41no—
281C2×Dic43—41no—
282C2×Dic43C2×C22⋊C412yes—
283C2×Dic43C2×C22⋊C412yes—
284C2×Dic43C2×C22⋊C412yes—
285C4×D43—22no—
286C4×D43—22no—
287C4×D43—22no—
288C4×D43—22no—
289C4×D43—84no—
290Dic86—22no—
291Dic86—22no—
292Dic86—41no—
293Dic86—41no—
294C8×C43—41no—
295C8×C43—41no—
296C43⋊C8—41no—
297C43⋊C8—41no—
298#21398—431nomaximal, Sylow
299C22×C43C22×C22⋊C411yescharacteristic
300C22×C43#52511yescharacteristic
301C22×C43#52511yescharacteristic
302C22×C43#57711yescharacteristic
303C22×C43#57711yescharacteristic
304C22×C43#57811yescharacteristic
305C22×C43#57811yescharacteristic
306C2×D43—22no—
307C2×D43—22no—
308C2×D43—22no—
309C2×D43—41no—
310C2×D43—41no—
311C2×D43—41no—
312C2×D43—41no—
313C4×C43—22no—
314C4×C43—22no—
315C4×C43—42no—
316C4×C43—42no—
317C4×C43—42no—
318C4×C43—42no—
319C4×C43C4×#4111yescharacteristic
320C4×C43C4×#4111yescharacteristic
321C4×C43#53211yescharacteristic
322C4×C43#53211yescharacteristic
323Dic43—22no—
324Dic43—22no—
325Dic43—22no—
326Dic43—42no—
327Dic43—42no—
328Dic43—42no—
329Dic43—42no—
330C2×#541—431no—
331C2×#433—431no—
332#2274—431no—
333#1989—431no—
334#1989—431no—
335#1981—431no—
336#1981—431no—
337#1873—431no—
338#1873—431no—
339#1872—431no—
340#1872—431no—
341#1763—431no—
342#1763D4311yescharacteristic, complemented
343C4×#103—431no—
344C4×#103—431no—
345C2×C43#229711yescharacteristic
346C2×C43#289811yescharacteristic
347C2×C43#289811yescharacteristic
348C2×C43#312011yescharacteristic
349C2×C43#312011yescharacteristic
350C2×C43#312311yescharacteristic
351C2×C43#312711yescharacteristic
352D43—42no—
353#541—438no—
354#541—864no—
355C2×C4⋊Q8—431no—
356C2×#126—861no—
357C2×#126—861no—
358C2×#125—431no—
359C2×#125—861no—
360C2×#125—861no—
361C2×C22⋊Q8—431no—
362C2×C22⋊Q8—431no—
363C2×C4×Q8—431no—
364C2×C4×Q8C2×D4311yescharacteristic
365C2×#117—431no—
366C2×#117—431no—
367C22×C4⋊C4—431no—
368#433—864no—
369C2×C4⋊C8—431no—
370C2×C4⋊C8—431no—
371C2×#103—431no—
372C2×#103—431no—
373C2×#103—431no—
374C2×#103—431no—
375C2×#103—431no—
376C2×#103—431no—
377C2×#103C2×D4311yescharacteristic
378C2×#103C2×D4311yescharacteristic
379C2×C22⋊C8—431no—
380C2×C22⋊C8—431no—
381C2×#97C2×D4311yescharacteristic
382C2×C4×C8—431no—
383C4×C4⋊C4—431no—
384C4×C4⋊C4—431no—
385C4×C4⋊C4—431no—
386C4×C4⋊C4—861no—
387C4×C4⋊C4—861no—
388C4×C4⋊C4C2×D4311yescharacteristic
389C4×C22⋊C4—861no—
390C4×C22⋊C4—861no—
391#340—431no—
392#340—431no—
393#340—431no—
394#340—431no—
395#340—431no—
396#340—431no—
397#340C2×D4311yescharacteristic
398#340C2×D4311yescharacteristic
399C43#2139811yescharacteristic, complemented, Sylow
400C22×Q8—431no—
401C22×Q8C22×D4311yescharacteristic
402C23×C4—431no—
403C23×C4—861no—
404C22×C8—431no—
405C22×C8—431no—
406C22×C8C22×D4311yescharacteristic
407C22×C8C22×D4311yescharacteristic
408C4⋊Q8—434no—
409C4⋊Q8—862no—
410#126—868no—
411#126—868no—
412#125—434no—
413#125—868no—
414#125—862no—
415#125—868no—
416C22⋊Q8—434no—
417C22⋊Q8—434no—
418C22⋊Q8—862no—
419C22⋊Q8—862no—
420C4×Q8—22no—
421C4×Q8—434no—
422C4×Q8—862no—
423C4×Q8C4×D4314yescomplemented
424#117—434no—
425#117—434no—
426#117—862no—
427#117—862no—
428C2×C4⋊C4—21no—
429C2×C4⋊C4—431no—
430C2×C4⋊C4—431no—
431C2×C4⋊C4—431no—
432C2×C4⋊C4—431no—
433C2×C4⋊C4—431no—
434C2×C4⋊C4—862no—
435C2×C4⋊C4—861no—
436C2×C4⋊C4—861no—
437C2×C4⋊C4—861no—
438C2×C4⋊C4—861no—
439C2×C4⋊C4—861no—
440C2×C4⋊C4—861no—
441C2×C4⋊C4—861no—
442C2×C4⋊C4—861no—
443C2×C4⋊C4—862no—
444C2×C4⋊C4C22×D4311yescharacteristic
445C2×C4⋊C4C22×D4311yescharacteristic
446C2×C4⋊C4C22×D4311yescharacteristic
447C2×C22⋊C4—431no—
448C2×C22⋊C4—431no—
449C2×C22⋊C4—861no—
450C2×C22⋊C4—861no—
451C2×C22⋊C4—861no—
452C2×C42—21no—
453C2×C42—21no—
454C2×C42—431no—
455C2×C42—861no—
456C2×C42—861no—
457C2×C42—861no—
458C2×C42—861no—
459C2×C42—861no—
460C2×C42C22×D4311yescharacteristic
461C4⋊C8—862no—
462C4⋊C8—862no—
463#103—22no—
464#103—22no—
465#103—862no—
466#103—862no—
467#103—862no—
468#103—862no—
469#103—862no—
470#103—862no—
471C22⋊C8—862no—
472C22⋊C8—862no—
473#97—22no—
474C4×C8—862no—
475#95—21no—
476#95—861no—
477#95—861no—
478#95—861no—
479C24—431no—
480C2×Q8—21no—
481C2×Q8—21no—
482C2×Q8—21no—
483C2×Q8—21no—
484C2×Q8—21no—
485C2×Q8—432no—
486C2×Q8—861no—
487C2×Q8—861no—
488C2×Q8—861no—
489C2×Q8—861no—
490C2×Q8—861no—
491C2×Q8C2×C4×D4312yes—
492C22×C4—21no—
493C22×C4—21no—
494C22×C4—21no—
495C22×C4—21no—
496C22×C4—431no—
497C22×C4—431no—
498C22×C4—431no—
499C22×C4—432no—
500C22×C4—432no—
501C22×C4—864no—
502C22×C4—861no—
503C22×C4—861no—
504C22×C4—861no—
505C22×C4—861no—
506C22×C4—861no—
507C22×C4—861no—
508C22×C4—861no—
509C22×C4—861no—
510C22×C4—3441no—
511C22×C4—3441no—
512C22×C4D4×D4311yescharacteristic
513C22×C4D4×D4311yescharacteristic
514C22×C4C23×D4311yescharacteristic
515C2×C8—21no—
516C2×C8—21no—
517C2×C8—21no—
518C2×C8—21no—
519C2×C8—21no—
520C2×C8—21no—
521C2×C8—861no—
522C2×C8—861no—
523C2×C8—861no—
524C2×C8—861no—
525C2×C8—861no—
526C2×C8—861no—
527C4⋊C4—24no—
528C4⋊C4—21no—
529C4⋊C4—21no—
530C4⋊C4—21no—
531C4⋊C4—434no—
532C4⋊C4—434no—
533C4⋊C4—432no—
534C4⋊C4—432no—
535C4⋊C4—432no—
536C4⋊C4—864no—
537C4⋊C4—864no—
538C4⋊C4—864no—
539C4⋊C4—864no—
540C4⋊C4—864no—
541C4⋊C4—864no—
542C4⋊C4—864no—
543C4⋊C4—864no—
544C4⋊C4—861no—
545C4⋊C4—861no—
546C4⋊C4—861no—
547C4⋊C4C2×C4×D4312yes—
548C4⋊C4#1062189812yes—
549C4⋊C4#1062189812yes—
550C22⋊C4—434no—
551C22⋊C4—434no—
552C22⋊C4—864no—
553C22⋊C4—864no—
554C22⋊C4—864no—
555C42—24no—
556C42—81no—
557C42—432no—
558C42—432no—
559C42—864no—
560C42—864no—
561C42—3441no—
562C42—3441no—
563C42—3441no—
564C42C2×C4×D4312yes—
565C42D4×D4312yes—
566C23—432no—
567C23—861no—
568C23—861no—
569C23—861no—
570C23—861no—
571C23—861no—
572C23—861no—
573C23C2×D4×D4311yescharacteristic
574Q8—22no—
575Q8—22no—
576Q8—41no—
577Q8—41no—
578Q8—862no—
579Q8—862no—
580Q8—1721no—
581Q8—1721no—
582C2×C4—21no—
583C2×C4—21no—
584C2×C4—21no—
585C2×C4—21no—
586C2×C4—22no—
587C2×C4—22no—
588C2×C4—22no—
589C2×C4—22no—
590C2×C4—41no—
591C2×C4—41no—
592C2×C4—41no—
593C2×C4—41no—
594C2×C4—41no—
595C2×C4—41no—
596C2×C4—41no—
597C2×C4—41no—
598C2×C4—432no—
599C2×C4—432no—
600C2×C4—432no—
601C2×C4—861no—
602C2×C4—861no—
603C2×C4—861no—
604C2×C4—861no—
605C2×C4—861no—
606C2×C4—861no—
607C2×C4—862no—
608C2×C4—862no—
609C2×C4—862no—
610C2×C4—862no—
611C2×C4—862no—
612C2×C4—862no—
613C2×C4—862no—
614C2×C4—862no—
615C2×C4—3444no—
616C2×C4—1721no—
617C2×C4—1721no—
618C2×C4—1721no—
619C2×C4—1721no—
620C2×C4—1721no—
621C2×C4—1721no—
622C2×C4—1721no—
623C2×C4—1721no—
624C2×C4C22⋊C4×D4312yes—
625C2×C4C22⋊C4×D4312yes—
626C2×C4C22×C4×D4311yescharacteristic
627C2×C4C2×D4×D4311yescharacteristic
628C2×C4#41×D4311yescharacteristic
629C2×C4#41×D4311yescharacteristic
630C2×C4C2×#1062189811yescharacteristic
631C2×C4C2×#1062189811yescharacteristic
632C8—41no—
633C8—41no—
634C8—1721no—
635C8—1721no—
636C22—862no—
637C22—862no—
638C22—862no—
639C22—1721no—
640C22—1721no—
641C22—1721no—
642C22—1721no—
643C22C2×C22⋊C4×D4311yescharacteristic
644C22#1458340811yescharacteristic
645C22#1458340811yescharacteristic
646C22#1458370811yescharacteristic
647C22#1458370911yescharacteristic
648C22#1458371511yescharacteristic
649C22#1458371511yescharacteristic
650C4—22no—
651C4—22no—
652C4—42no—
653C4—42no—
654C4—42no—
655C4—42no—
656C4—862no—
657C4—862no—
658C4—862no—
659C4—1722no—
660C4—1722no—
661C4—1722no—
662C4—1722no—
663C4#1458336711yescharacteristic
664C4C4×#1062189811yescharacteristic
665C4#1458344611yescharacteristic
666C4#1458344611yescharacteristic
667C2—1722no—
668C2#1913708111yescharacteristic
669C2#1914312611yescharacteristic
670C2#1914312711yescharacteristic
671C2#1914480711yescharacteristic
672C2#1914481311yescharacteristic
673C2#1914484611yescharacteristic
674C2#1914489411yescharacteristic
subgroupG/H
centerC23C2×D4×D43
commutatorC2×C4×C43C23×C4
FrattiniC22×C4C23×D43
FittingC43×#1763C2
socleC23×C43C22×D4
prime radicalC23×D43C2×D4
cosocleC22×C4×C43C24
hypercenter#1763D43
hypocenterC43#21398
LCSG ▷ C2×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C23 ◁ C2×C42 ◁ #1763

Complements

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

NH ≅ G/Ntype
4. #19135551C2semidirect
5. #19135549C2semidirect
6. #19135516C2semidirect
7. #19135516C2semidirect
12. #19134426C2semidirect
13. C4×#13063248C2semidirect
14. C4×#13063249C2semidirect
15. C43×#1763C2semidirect
17. #14583507C4semidirect
68. #13063323C2×C4semidirect
73. #13063316C2×C4semidirect
80. C4×Dic86C2×C4semidirect
129. C4×Q8×C43C2×C4semidirect
342. #1763D43semidirect
399. C43#21398semidirect
423. C4×Q8C4×D43semidirect

Maximal subgroups

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

subgroupindex
C2×#145835072
C2×#145829612
#191369492
#191355512
#191355492
#191355162
#191349062
#191349042
#191349012
#191348992
#191344262
C4×#130632482
C4×#130632492
C43×#17632
#2139843