Finite Group Databasebeta

← #14720469

Subgroups — #14720469

Order 2816.

1306 conjugacy classes of subgroups.

The subgroup lattice has 718 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1D11×#532C211yesmaximal, characteristic
2C2×#10622298C211yesmaximal, characteristic, complemented
3D11×#423C211yesmaximal, characteristic, complemented
4#13067068C211yesmaximal, characteristic, complemented
5#13067067C211yesmaximal, characteristic, complemented
6#13067066C211yesmaximal, characteristic, complemented
7#13067039C214yesmaximal, complemented
8#13067013C214yesmaximal, complemented
9C11×#1492C211yesmaximal, characteristic, complemented
10C2×#41×D11—21no—
11C11×#532C2211yescharacteristic
12#10623363—21no—
13C2×M16×D11—21no—
14#10623256C411yescharacteristic
15D11×C4⋊Q8C411yescharacteristic
16#10623247C411yescharacteristic
17D11×#127C411yescharacteristic
18D11×#124—21no—
19#10623199—21no—
20D11×#121—21no—
21D11×#121C412yes—
22#10623127—21no—
23#10623127C412yes—
24#10623079—21no—
25#10623079C2212yes—
26C4×D4×D11—21no—
27C4×D4×D11C2212yes—
28#10623008C2211yescharacteristic
29C2×C42×D11C2211yescharacteristic
30C11×#423C2211yescharacteristic, complemented
31C2×C4×C8×C11C2211yescharacteristic, complemented
32#10622731—21no—
33C2×(C2×D11)⋊C8—21no—
34C2×Dic11⋊C8—21no—
35#10622537C2211yescharacteristic, complemented
36C2×C4×C11⋊C8C2211yescharacteristic, complemented
37#10622450—21no—
38#10622450C2212yes—
39D11×C4⋊C8—21no—
40D11×C4⋊C8C2212yescomplemented
41#10622298—21no—
42#10622298—21no—
43#10622298C2212yes—
44#10622298C2212yescomplemented
45C11×D4⋊C8C2214yescomplemented
46D4⋊(C11⋊C8)C2214yescomplemented
47#10622121C2214yescomplemented
48#10622097C2214yescomplemented
49C2×C11×#41—21no—
50#41×D11—44no—
51#41×D11—44no—
52C2×#4343—21no—
53C2×Q8×D11—21no—
54C2×#4341—22no—
55C2×#4341—21no—
56C2×D4×D11—22no—
57C2×D4×D11—21no—
58C2×D4×D11—21no—
59C2×D4×D11C2×C412yes—
60C2×#4339—21no—
61C2×#4339—22no—
62C22×C4×D11—22no—
63C22×C4×D11C2×C411yescharacteristic
64C22×C4×D11D411yescharacteristic
65C22×C4×D11D411yescharacteristic
66C2×C11×M16—21no—
67C22×C8×C11—21no—
68C11×C4⋊Q8C2×C411yescharacteristic
69C11×#127C2×C411yescharacteristic
70C11×#124—21no—
71C11×#121—21no—
72C11×#121C2×C412yes—
73C4×D4×C11—21no—
74C4×D4×C11C2312yes—
75C2×C42×C11C2311yescharacteristic
76#67000—21no—
77#66997—21no—
78#66993—21no—
79#66993—21no—
80#66993C2×C412yes—
81#66992—22no—
82#66992—22no—
83#66991—21no—
84#66991C2×C412yes—
85#66989—21no—
86D4×Dic11—21no—
87D4×Dic11C2×C412yes—
88#66983—21no—
89#66983C2×C412yes—
90C4×C22⋊D11—22no—
91C4×C22⋊D11—22no—
92C2×C4×Dic11C2×C411yescharacteristic
93C2×C4×Dic11D411yescharacteristic
94C2×C4×Dic11D411yescharacteristic
95C2×#4318—21no—
96C22×C11⋊C8—21no—
97M16×D11—44no—
98C2×#4313—22no—
99C2×C8×D11—22no—
100#66948—21no—
101#66948C2×C412yes—
102#66946—21no—
103#66946C2×C412yes—
104C4⋊C4×D11—21no—
105C4⋊C4×D11C2×C412yes—
106#66941—21no—
107#66941C2×C412yes—
108#66938—22no—
109#66938—22no—
110#66937—22no—
111#66937—22no—
112(C22⋊D11)⋊C4—22no—
113(C22⋊D11)⋊C4—22no—
114C22⋊C4×D11—22no—
115C22⋊C4×D11—22no—
116#66928—21no—
117#66927C2×C411yescharacteristic
118C4×D44—21no—
119C4×D44C2312yes—
120C42×D11C2×C411yescharacteristic
121C42×D11C2×C411yescharacteristic
122C42×D11D411yescharacteristic
123C42×D11D411yescharacteristic
124C42×D11D411yescharacteristic
125C42×D11D411yescharacteristic
126C42×D11C2311yescharacteristic
127C42×D11C2311yescharacteristic
128#66922C2×C411yescharacteristic
129C11×C4⋊C8—21no—
130C11×C4⋊C8C2312yes—
131C4×C8×C11—21no—
132C4×C8×C11C2312yes—
133(C2×D11)⋊C8—22no—
134(C2×D11)⋊C8—22no—
135Dic11⋊C8—22no—
136Dic11⋊C8—22no—
137Dic11⋊C8—22no—
138Dic11⋊C8—22no—
139C4⋊(C11⋊C8)—21no—
140C4⋊(C11⋊C8)C2312yes—
141C4×C11⋊C8—21no—
142C4×C11⋊C8C2312yes—
143#17485—111nomaximal, Sylow
144C23×D11—22no—
145C23×D11C22⋊C411yescharacteristic
146C11×#41—42no—
147C11×#41—42no—
148C2×Q8×C11—21no—
149C2×D4×C11—22no—
150C2×D4×C11—21no—
151C2×D4×C11—21no—
152C2×D4×C11C22×C412yes—
153C22×C4×C11—22no—
154C22×C4×C11C22×C411yescharacteristic
155C22×C4×C11C2×D411yescharacteristic
156C22×C4×C11C2×D411yescharacteristic
157C2×C22⋊D11—22no—
158C2×C22⋊D11—22no—
159C2×C22⋊D11—22no—
160C2×C22⋊D11—22no—
161C2×C22⋊D11—22no—
162C22×Dic11—22no—
163C22×Dic11C22⋊C411yescharacteristic
164C22×Dic11C22⋊C411yescharacteristic
165C22×Dic11C22⋊C411yescharacteristic
166#4343—44no—
167Q8×D11—44no—
168#4341—48no—
169#4341—44no—
170D4×D11—44no—
171D4×D11—44no—
172D4×D11—44no—
173D4×D11—48no—
174#4339—44no—
175#4339—44no—
176#4339—42no—
177#4339—42no—
178C2×D44—22no—
179C2×D44—21no—
180C2×D44—21no—
181C2×D44C22×C412yes—
182C2×C4×D11—22no—
183C2×C4×D11—22no—
184C2×C4×D11—22no—
185C2×C4×D11—42no—
186C2×C4×D11—42no—
187C2×C4×D11—44no—
188C2×C4×D11—44no—
189C2×C4×D11C22⋊C411yescharacteristic
190C2×C4×D11C22⋊C411yescharacteristic
191C2×C4×D11C22⋊C411yescharacteristic
192C2×C4×D11C22⋊C411yescharacteristic
193C2×C4×D11C22⋊C411yescharacteristic
194C2×C4×D11C22⋊C411yescharacteristic
195C2×C4×D11D814yes—
196C2×C4×D11SD1614yes—
197C2×C4×D11C22×C411yescharacteristic
198C2×C4×D11C22×C411yescharacteristic
199C2×C4×D11C2×D411yescharacteristic
200C2×C4×D11C2×D411yescharacteristic
201C2×C4×D11C2×D411yescharacteristic
202C2×C4×D11C2×D411yescharacteristic
203C2×Dic22—22no—
204C2×Dic22—21no—
205C11×M16—42no—
206C2×C8×C11—22no—
207C2×C8×C11—22no—
208C2×C8×C11—42no—
209C11×C4⋊C4—21no—
210C11×C4⋊C4C22×C412yes—
211C11×C22⋊C4—22no—
212C11×C22⋊C4—22no—
213C42×C11C22×C411yescharacteristic
214C42×C11C2×D411yescharacteristic
215C42×C11C2×D411yescharacteristic
216C42×C11C2411yescharacteristic
217C22⋊Dic11—22no—
218C22⋊Dic11—22no—
219(C2×D11)⋊C4—22no—
220(C2×D11)⋊C4—22no—
221(C2×D11)⋊C4—22no—
222(C2×D11)⋊C4—22no—
223C4⋊Dic11—21no—
224C4⋊Dic11C22×C412yes—
225Dic11⋊C4—22no—
226Dic11⋊C4—22no—
227C4×Dic11C22⋊C411yescharacteristic
228C4×Dic11C22⋊C411yescharacteristic
229C4×Dic11C22⋊C411yescharacteristic
230C4×Dic11C22⋊C411yescharacteristic
231C4×Dic11C22⋊C411yescharacteristic
232C4×Dic11C22⋊C411yescharacteristic
233C4×Dic11C22×C411yescharacteristic
234C4×Dic11C22×C411yescharacteristic
235C4×Dic11C2×D411yescharacteristic
236C4×Dic11C2×D411yescharacteristic
237C4×Dic11C2×D411yescharacteristic
238C4×Dic11C2×D411yescharacteristic
239#4318—42no—
240C2×C11⋊C8—22no—
241C2×C11⋊C8—22no—
242C2×C11⋊C8—42no—
243#4313—44no—
244C8×D11—44no—
245C2×#532—111no—
246C2×#431—111no—
247C2×#423—111no—
248#1492—111no—
249#1492—111no—
250#1492—111no—
251#1492D1111yescharacteristic, complemented
252#1486—114no—
253#1480—114no—
254C23×C11—22no—
255C23×C11C2×C22⋊C411yescharacteristic
256C22×D11—22no—
257C22×D11—41no—
258C22×D11—41no—
259C22×D11—44no—
260C22×D11—44no—
261C22×D11—44no—
262C22×D11#10214yes—
263C22×D11C2×C22⋊C411yescharacteristic
264C22×D11C2×C22⋊C411yescharacteristic
265Q8×C11—42no—
266D4×C11—24no—
267D4×C11—44no—
268D4×C11—42no—
269D4×C11—42no—
270C2×C4×C11—22no—
271C2×C4×C11—22no—
272C2×C4×C11—22no—
273C2×C4×C11—42no—
274C2×C4×C11—42no—
275C2×C4×C11C2×C22⋊C411yescharacteristic
276C2×C4×C11C2×C22⋊C411yescharacteristic
277C2×C4×C11C2×C22⋊C411yescharacteristic
278C2×C4×C11C2×D812yes—
279C2×C4×C11C2×SD1612yes—
280C2×C4×C11C23×C411yescharacteristic
281C2×C4×C11C22×D411yescharacteristic
282C2×C4×C11C22×D411yescharacteristic
283C22⋊D11—44no—
284C22⋊D11—44no—
285C22⋊D11—44no—
286C22⋊D11—44no—
287C22⋊D11—44no—
288C2×Dic11—22no—
289C2×Dic11—41no—
290C2×Dic11—41no—
291C2×Dic11—44no—
292C2×Dic11#10214yes—
293C2×Dic11C2×C22⋊C411yescharacteristic
294C2×Dic11C2×C22⋊C411yescharacteristic
295C2×Dic11C2×C22⋊C411yescharacteristic
296C2×Dic11C2×C22⋊C411yescharacteristic
297C2×Dic11C2×C22⋊C411yescharacteristic
298C2×Dic11C2×C22⋊C411yescharacteristic
299D44—24no—
300D44—44no—
301D44—42no—
302D44—42no—
303C4×D11—22no—
304C4×D11—22no—
305C4×D11—22no—
306C4×D11—22no—
307C4×D11—41no—
308C4×D11—41no—
309C4×D11—41no—
310C4×D11—41no—
311C4×D11—44no—
312C4×D11—42no—
313C4×D11—42no—
314C4×D11—44no—
315C4×D11#10214yes—
316C4×D11#10214yes—
317C4×D11C2×D812yes—
318C4×D11C2×D812yes—
319C4×D11C2×SD1612yes—
320C4×D11C2×SD1612yes—
321Dic22—42no—
322Dic22—44no—
323C8×C11—42no—
324C8×C11—42no—
325C11⋊C8—42no—
326C11⋊C8—42no—
327C22×#41—221no—
328C22×M16—221no—
329#532—111no—
330#532—111no—
331#532—112no—
332#532—112no—
333#532—111no—
334#532—221no—
335#532—221no—
336#532—221no—
337#532—221no—
338#532C2×D1111yescharacteristic
339C2×C4⋊Q8—111no—
340C2×#127—111no—
341C2×#124—221no—
342C2×#121—112no—
343C2×#121—221no—
344C2×C4×D4—112no—
345C2×C4×D4—221no—
346C22×C42—111no—
347#431—112no—
348#431—112no—
349#431—221no—
350#431—221no—
351#423—111no—
352#423—112no—
353#423—221no—
354#423—221no—
355#423C2×D1111yescharacteristic, complemented
356C2×C4⋊C8—112no—
357C2×C4⋊C8—221no—
358C2×C4⋊C8—221no—
359C2×C22⋊C8—221no—
360C2×C4×C8—111no—
361C2×C4×C8C2×D1111yescharacteristic, complemented
362D4⋊C8—114no—
363D4⋊C8—114no—
364D4⋊C8—114no—
365D4⋊C8C2×D1114yescomplemented
366C22×C11—21no—
367C22×C11—21no—
368C22×C11—42no—
369C22×C11—42no—
370C22×C11—42no—
371C22×C11C2×#10212yes—
372C22×C11C22×C22⋊C411yescharacteristic
373C2×D11—21no—
374C2×D11—21no—
375C2×D11—21no—
376C2×D11—21no—
377C2×D11—44no—
378C2×D11—42no—
379C2×D11—42no—
380C2×D11—42no—
381C2×D11—88no—
382C2×D11C2×#10212yes—
383C2×D11C2×#10212yes—
384C4×C11—21no—
385C4×C11—21no—
386C4×C11—42no—
387C4×C11C2×#10212yes—
388C4×C11#42112yes—
389C4×C11#56812yes—
390C4×C11C22×D811yescharacteristic
391C4×C11C22×SD1611yescharacteristic
392Dic11—21no—
393Dic11—21no—
394Dic11—21no—
395Dic11—21no—
396Dic11—42no—
397Dic11C2×#10212yes—
398Dic11C2×#10212yes—
399C2×#41—21no—
400C2×#41—222no—
401C2×#41—222no—
402C2×#41—221no—
403C2×#41—221no—
404C2×#41—221no—
405C2×#41—444no—
406C2×#41—444no—
407C22×Q8—221no—
408C22×D4—112no—
409C22×D4—221no—
410C22×D4—221no—
411C22×D4—222no—
412C23×C4—111no—
413C23×C4—111no—
414C23×C4—111no—
415C23×C4—222no—
416C2×M16—21no—
417C2×M16—222no—
418C2×M16—221no—
419C2×M16—444no—
420C22×C8—21no—
421C22×C8—222no—
422C22×C8—221no—
423C4⋊Q8—112no—
424C4⋊Q8—111no—
425C4⋊Q8—221no—
426C4⋊Q8—221no—
427C4⋊Q8C4×D1111yescharacteristic
428#127—112no—
429#127—111no—
430#127—221no—
431#127—221no—
432#127C4×D1111yescharacteristic
433#124—21no—
434#124—222no—
435#124—222no—
436#124—221no—
437#124—221no—
438#124—221no—
439#121—21no—
440#121—112no—
441#121—112no—
442#121—112no—
443#121—222no—
444#121—222no—
445#121—221no—
446#121—222no—
447#121—221no—
448#121—222no—
449#121—221no—
450#121C4×D1112yes—
451C4×D4—21no—
452C4×D4—112no—
453C4×D4—112no—
454C4×D4—112no—
455C4×D4—222no—
456C4×D4—222no—
457C4×D4—221no—
458C4×D4—222no—
459C4×D4—222no—
460C4×D4—221no—
461C4×D4—221no—
462C4×D4C22×D1112yes—
463C2×C4⋊C4—112no—
464C2×C4⋊C4—221no—
465C2×C22⋊C4—222no—
466C2×C22⋊C4—222no—
467C2×C42—111no—
468C2×C42—111no—
469C2×C42—111no—
470C2×C42—111no—
471C2×C42—111no—
472C2×C42—111no—
473C2×C42—111no—
474C2×C42—111no—
475C2×C42—111no—
476C2×C42—111no—
477C2×C42—111no—
478C2×C42C22×D1111yescharacteristic
479C4⋊C8—21no—
480C4⋊C8—112no—
481C4⋊C8—222no—
482C4⋊C8—222no—
483C4⋊C8—222no—
484C4⋊C8—222no—
485C4⋊C8—221no—
486C4⋊C8C22×D1112yes—
487C22⋊C8—222no—
488C22⋊C8—222no—
489C4×C8—21no—
490C4×C8—112no—
491C4×C8—221no—
492C4×C8C22×D1112yes—
493C2×C11—22no—
494C2×C11—82no—
495C2×C11#287911yescharacteristic
496C2×C11C22×#10211yescharacteristic
497C2×C11C2×#42111yescharacteristic
498D11—22no—
499D11—22no—
500D11—82no—
501C24—111no—
502C24—222no—
503#41—42no—
504#41—42no—
505#41—444no—
506#41—444no—
507#41—448no—
508#41—444no—
509#41—444no—
510#41—442no—
511#41—442no—
512C2×Q8—21no—
513C2×Q8—222no—
514C2×Q8—221no—
515C2×Q8—444no—
516C2×D4—22no—
517C2×D4—21no—
518C2×D4—21no—
519C2×D4—112no—
520C2×D4—222no—
521C2×D4—222no—
522C2×D4—222no—
523C2×D4—222no—
524C2×D4—222no—
525C2×D4—222no—
526C2×D4—221no—
527C2×D4—221no—
528C2×D4—444no—
529C2×D4—444no—
530C2×D4—444no—
531C2×D4—448no—
532C2×D4C2×C4×D1112yes—
533C22×C4—22no—
534C22×C4—111no—
535C22×C4—111no—
536C22×C4—111no—
537C22×C4—114no—
538C22×C4—114no—
539C22×C4—111no—
540C22×C4—111no—
541C22×C4—111no—
542C22×C4—111no—
543C22×C4—111no—
544C22×C4—111no—
545C22×C4—111no—
546C22×C4—111no—
547C22×C4—111no—
548C22×C4—111no—
549C22×C4—111no—
550C22×C4—111no—
551C22×C4—222no—
552C22×C4—222no—
553C22×C4—222no—
554C22×C4—222no—
555C22×C4—442no—
556C22×C4—442no—
557C22×C4—444no—
558C22×C4—444no—
559C22×C4C2×C4×D1111yescharacteristic
560C22×C4D4×D1111yescharacteristic
561C22×C4D4×D1111yescharacteristic
562M16—42no—
563M16—444no—
564M16—442no—
565C2×C8—22no—
566C2×C8—22no—
567C2×C8—42no—
568C2×C8—222no—
569C2×C8—222no—
570C2×C8—444no—
571C2×C8—442no—
572C4⋊C4—21no—
573C4⋊C4—112no—
574C4⋊C4—222no—
575C4⋊C4—222no—
576C4⋊C4—221no—
577C4⋊C4C2×C4×D1112yes—
578C22⋊C4—22no—
579C22⋊C4—22no—
580C22⋊C4—222no—
581C22⋊C4—222no—
582C22⋊C4—222no—
583C22⋊C4—222no—
584C22⋊C4—222no—
585C22⋊C4—222no—
586C42—111no—
587C42—111no—
588C42—111no—
589C42—111no—
590C42—111no—
591C42—111no—
592C42—111no—
593C42—111no—
594C42—111no—
595C42—111no—
596C42—111no—
597C42—111no—
598C42C2×C4×D1111yescharacteristic
599C42D4×D1111yescharacteristic
600C42D4×D1111yescharacteristic
601C42C23×D1111yescharacteristic
602C11#1748511yescharacteristic, complemented, Sylow
603C23—22no—
604C23—111no—
605C23—111no—
606C23—114no—
607C23—222no—
608C23—441no—
609C23—441no—
610C23—444no—
611C23—444no—
612C23—444no—
613C23C22⋊C4×D1111yescharacteristic
614Q8—42no—
615Q8—444no—
616Q8—442no—
617D4—24no—
618D4—44no—
619D4—42no—
620D4—42no—
621D4—224no—
622D4—444no—
623D4—444no—
624D4—444no—
625D4—444no—
626D4—444no—
627D4—444no—
628D4—442no—
629D4—442no—
630C2×C4—22no—
631C2×C4—22no—
632C2×C4—22no—
633C2×C4—42no—
634C2×C4—42no—
635C2×C4—111no—
636C2×C4—111no—
637C2×C4—114no—
638C2×C4—112no—
639C2×C4—112no—
640C2×C4—112no—
641C2×C4—112no—
642C2×C4—114no—
643C2×C4—114no—
644C2×C4—111no—
645C2×C4—111no—
646C2×C4—111no—
647C2×C4—111no—
648C2×C4—222no—
649C2×C4—222no—
650C2×C4—222no—
651C2×C4—222no—
652C2×C4—222no—
653C2×C4—441no—
654C2×C4—441no—
655C2×C4—441no—
656C2×C4—441no—
657C2×C4—444no—
658C2×C4—444no—
659C2×C4—444no—
660C2×C4—441no—
661C2×C4—441no—
662C2×C4—442no—
663C2×C4—442no—
664C2×C4C22⋊C4×D1111yescharacteristic
665C2×C4C22⋊C4×D1111yescharacteristic
666C2×C4C22⋊C4×D1111yescharacteristic
667C2×C4D8×D1112yes—
668C2×C4SD16×D1112yes—
669C2×C4C22×C4×D1111yescharacteristic
670C2×C4C2×D4×D1111yescharacteristic
671C2×C4C2×D4×D1111yescharacteristic
672C8—42no—
673C8—42no—
674C8—442no—
675C8—442no—
676C22—21no—
677C22—21no—
678C22—42no—
679C22—42no—
680C22—42no—
681C22—112no—
682C22—112no—
683C22—221no—
684C22—221no—
685C22—221no—
686C22—221no—
687C22—444no—
688C22—442no—
689C22—442no—
690C22—442no—
691C22—888no—
692C22D11×#10212yes—
693C22C2×C22⋊C4×D1111yescharacteristic
694C4—21no—
695C4—21no—
696C4—42no—
697C4—112no—
698C4—112no—
699C4—221no—
700C4—221no—
701C4—221no—
702C4—221no—
703C4—442no—
704C4D11×#10212yes—
705C4#1062243412yes—
706C4#1062328112yes—
707C4C2×D8×D1111yescharacteristic
708C4C2×SD16×D1111yescharacteristic
709C2—22no—
710C2—82no—
711C2—222no—
712C2—222no—
713C2—882no—
714C2#1307705811yescharacteristic
715C2C2×D11×#10211yescharacteristic
716C2C2×#1062243411yescharacteristic
subgroupG/H
centerC2×C4C2×D4×D11
commutatorC2×C4×C11C23×C4
FrattiniC42C23×D11
FittingC11×#1492C2
socleC22×C11C22×C22⋊C4
prime radicalD11×#532C2
cosocleC42×C11C24
hypercenter#1492D11
hypocenterC11#17485
LCSG ▷ C2×C4×C11 ▷ C2×C11 ▷ C11
UCSC1 ◁ C2×C4 ◁ C2×C42 ◁ #1492

Complements

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

NH ≅ G/Ntype
2. C2×#10622298C2semidirect
3. D11×#423C2semidirect
4. #13067068C2semidirect
5. #13067067C2semidirect
6. #13067066C2semidirect
7. #13067039C2semidirect
8. #13067013C2semidirect
9. C11×#1492C2semidirect
30. C11×#423C22semidirect
31. C2×C4×C8×C11C22semidirect
35. #10622537C22semidirect
36. C2×C4×C11⋊C8C22semidirect
40. D11×C4⋊C8C22semidirect
44. #10622298C22semidirect
45. C11×D4⋊C8C22semidirect
46. D4⋊(C11⋊C8)C22semidirect
47. #10622121C22semidirect
48. #10622097C22semidirect
251. #1492D11semidirect
355. #423C2×D11semidirect
361. C2×C4×C8C2×D11semidirect
365. D4⋊C8C2×D11semidirect
602. C11#17485semidirect

Maximal subgroups

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

subgroupindex
D11×#5322
C2×#106222982
D11×#4232
#130670682
#130670672
#130670662
#130670392
#130670132
C11×#14922
#1748511