Finite Group Databasebeta

← #14813431

Subgroups — #14813431

Order 2816.

894 conjugacy classes of subgroups.

The subgroup lattice has 714 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#10622648C211yesmaximal, characteristic, complemented
2C2×#10622611C211yesmaximal, characteristic, complemented
3#13071565C211yesmaximal, characteristic, complemented
4#13070144C211yesmaximal, characteristic, complemented
5#13070092C211yesmaximal, characteristic, complemented
6#13070042C211yesmaximal, characteristic, complemented
7#13069802C211yesmaximal, characteristic, complemented
8#13069240C211yesmaximal, characteristic, complemented
9#13069205C211yesmaximal, characteristic, complemented
10#13069045C211yesmaximal, characteristic, complemented
11#13068939C211yesmaximal, characteristic, complemented
12#13068909C211yesmaximal, characteristic, complemented
13#13068815C211yesmaximal, characteristic, complemented
14#13068813C211yesmaximal, characteristic, complemented
15C11×#2414C211yesmaximal, characteristic
16C2×C11×#121C2211yescharacteristic
17C2×C11×#121C2211yescharacteristic
18C2×C4×D4×C11C2211yescharacteristic
19C2×C11×#117C2211yescharacteristic
20C2×#66979C2211yescharacteristic
21C2×#66979C2211yescharacteristic
22C23×C11⋊C8C2211yescharacteristic
23C11×#394—21no—
24C11×#392—21no—
25C11×#390—21no—
26C11×#390C2211yescharacteristic
27C11×#389C2211yescharacteristic
28C11×#388—21no—
29C11×#380C2211yescharacteristic
30#10622834—21no—
31C2×#66896C2211yescharacteristic
32C2×#66896C2211yescharacteristic
33C2×#66896C2211yescharacteristic
34C2×#66896C2211yescharacteristic
35#10622825C2211yescharacteristic
36#10622825C2211yescharacteristic
37C2×C22⋊(C11⋊C8)C2211yescharacteristic
38C2×C22⋊(C11⋊C8)C2211yescharacteristic
39C2×C22⋊(C11⋊C8)C2211yescharacteristic
40#10622648—24no—
41#10622611—24no—
42C4⋊C4×Dic11—21no—
43C2×#66872C2211yescharacteristic
44C2×#66872C2211yescharacteristic
45C2×#66872C2211yescharacteristic
46C2×#66871C2211yescharacteristic
47C2×#66871C2211yescharacteristic
48C2×#66871C2211yescharacteristic
49#10622564—21no—
50#10622564—21no—
51#10622548C2211yescharacteristic
52C4×C4⋊Dic11C2211yescharacteristic
53#10622167C2211yescharacteristic
54#10622167C2211yescharacteristic
55#10622167C2211yescharacteristic
56#10622167C2211yescharacteristic
57#10622167C2211yescharacteristic
58#10622167C2211yescharacteristic
59#10622162C2211yescharacteristic
60#10622162C2211yescharacteristic
61C22×D4×C11—21no—
62C22×D4×C11—21no—
63C22×D4×C11D411yescharacteristic
64C22×D4×C11C2311yescharacteristic
65C23×C4×C11C2311yescharacteristic
66C23×C4×C11C2311yescharacteristic
67C11×#121—22no—
68C11×#121—22no—
69C11×#121—22no—
70C11×#121—41no—
71C4×D4×C11—22no—
72C4×D4×C11—22no—
73C11×#117—22no—
74C11×#117—41no—
75C2×C11×C4⋊C4—21no—
76C2×C11×C4⋊C4D411yescharacteristic
77C2×C11×C4⋊C4C2311yescharacteristic
78C2×C11×C4⋊C4C2311yescharacteristic
79C2×C11×C4⋊C4C2311yescharacteristic
80C2×C11×C22⋊C4—21no—
81C2×C11×C22⋊C4—21no—
82C2×C11×C22⋊C4—21no—
83C2×C11×C22⋊C4—21no—
84C2×C11×C22⋊C4—21no—
85C2×C11×C22⋊C4—21no—
86C2×C11×C22⋊C4D411yescharacteristic
87C2×C11×C22⋊C4D411yescharacteristic
88C2×C42×C11—21no—
89C2×C42×C11C2311yescharacteristic
90C2×C22⋊Dic11—21no—
91C2×C22⋊Dic11—21no—
92C2×C22⋊Dic11—21no—
93C2×C22⋊Dic11—21no—
94#66979—22no—
95#66979—22no—
96#66979—41no—
97#66979—41no—
98C2×C4⋊Dic11—21no—
99C2×C4⋊Dic11—21no—
100C2×C4⋊Dic11C2311yescharacteristic
101C2×C4⋊Dic11C2311yescharacteristic
102C2×C4⋊Dic11C2311yescharacteristic
103C2×C4⋊Dic11C2311yescharacteristic
104C2×C4×Dic11—21no—
105C2×C4×Dic11—21no—
106C2×C4×Dic11—21no—
107C22×C11⋊C8—22no—
108C22×C11⋊C8—22no—
109C22×C11⋊C8—22no—
110C22×C11⋊C8C2311yescharacteristic
111C22×C11⋊C8C2311yescharacteristic
112C22×C11⋊C8C2311yescharacteristic
113C22×C11⋊C8C2311yescharacteristic
114C11×#95—21no—
115C11×#95—21no—
116#66896—22no—
117#66896—22no—
118#66896—22no—
119#66896—41no—
120C11⋊#95—21no—
121C11⋊#95—21no—
122C11⋊#95—21no—
123C22⋊(C11⋊C8)—22no—
124C22⋊(C11⋊C8)—22no—
125C22⋊(C11⋊C8)—22no—
126#66872—22no—
127#66872—22no—
128#66872—22no—
129#66871—22no—
130#66871—41no—
131#66871D414yescomplemented
132#26137—111nomaximal, Sylow
133C24×C11—21no—
134C24×C11C2×D411yescharacteristic
135C24×C11C2×D411yescharacteristic
136C2×D4×C11—22no—
137C2×D4×C11—22no—
138C2×D4×C11—21no—
139C2×D4×C11—21no—
140C2×D4×C11—21no—
141C2×D4×C11—21no—
142C2×D4×C11—21no—
143C2×D4×C11—21no—
144C2×D4×C11—41no—
145C2×D4×C11—42no—
146C2×D4×C11—42no—
147C2×D4×C11—42no—
148C2×D4×C11—81no—
149C2×D4×C11—81no—
150C2×D4×C11—81no—
151C22×C4×C11—21no—
152C22×C4×C11—21no—
153C22×C4×C11—21no—
154C22×C4×C11—21no—
155C22×C4×C11—21no—
156C22×C4×C11—21no—
157C22×C4×C11—21no—
158C22×C4×C11—21no—
159C22×C4×C11—21no—
160C22×C4×C11—21no—
161C22×C4×C11—21no—
162C22×C4×C11—21no—
163C22×C4×C11—21no—
164C22×C4×C11C2×D411yescharacteristic
165C22×C4×C11C2×D411yescharacteristic
166C22×C4×C11C2×D411yescharacteristic
167C22×C4×C11C2×D411yescharacteristic
168C22×C4×C11#4112yes—
169C22×C4×C11#4112yes—
170C22×C4×C11C2411yescharacteristic
171C22×Dic11—21no—
172C22×Dic11—21no—
173C22×Dic11—21no—
174C22×Dic11—21no—
175C11×C4⋊C4—22no—
176C11×C4⋊C4—21no—
177C11×C4⋊C4—21no—
178C11×C4⋊C4—21no—
179C11×C4⋊C4—21no—
180C11×C4⋊C4—21no—
181C11×C4⋊C4—81no—
182C11×C4⋊C4C2×D412yes—
183C11×C22⋊C4—22no—
184C11×C22⋊C4—22no—
185C11×C22⋊C4—42no—
186C11×C22⋊C4—42no—
187C11×C22⋊C4—42no—
188C11×C22⋊C4—42no—
189C11×C22⋊C4—81no—
190C11×C22⋊C4—81no—
191C42×C11—21no—
192C42×C11—21no—
193C42×C11—42no—
194C22⋊Dic11—42no—
195C22⋊Dic11—42no—
196C22⋊Dic11—81no—
197C22⋊Dic11—81no—
198C4⋊Dic11—21no—
199C4⋊Dic11—21no—
200C4⋊Dic11—21no—
201C4⋊Dic11—21no—
202C4⋊Dic11—21no—
203C4⋊Dic11—21no—
204C4⋊Dic11—21no—
205C4⋊Dic11—42no—
206C4⋊Dic11—81no—
207C4⋊Dic11C2×D412yes—
208C4×Dic11—42no—
209C4×Dic11—42no—
210C4×Dic11—42no—
211C2×C11⋊C8—28no—
212C2×C11⋊C8—21no—
213C2×C11⋊C8—21no—
214C2×C11⋊C8—21no—
215C2×C11⋊C8—21no—
216C2×C11⋊C8—21no—
217C2×C11⋊C8—21no—
218C2×C11⋊C8—21no—
219C2×C11⋊C8—21no—
220C2×C11⋊C8—21no—
221C2×C11⋊C8—21no—
222C2×C11⋊C8C2×D412yes—
223C2×C11⋊C8#4112yes—
224C2×#482—111no—
225C2×#427—111no—
226#2414D1111yescharacteristic
227#2354—111no—
228#2093—111no—
229#2084—111no—
230#2075—111no—
231#2034—111no—
232#1926—111no—
233#1921—111no—
234#1893—111no—
235#1875—111no—
236#1869—111no—
237#1854—111no—
238#1854—111no—
239C23×C11—21no—
240C23×C11—21no—
241C23×C11—21no—
242C23×C11—21no—
243C23×C11—21no—
244C23×C11—21no—
245C23×C11—21no—
246C23×C11—21no—
247C23×C11—21no—
248C23×C11—21no—
249C23×C11—21no—
250C23×C11—21no—
251C23×C11—21no—
252C23×C11—41no—
253C23×C11—41no—
254C23×C11—41no—
255C23×C11—41no—
256C23×C11—41no—
257C23×C11—41no—
258C23×C11—41no—
259C23×C11#12312yes—
260C23×C11C22×D411yescharacteristic
261D4×C11—44no—
262D4×C11—41no—
263D4×C11—41no—
264D4×C11—41no—
265D4×C11—41no—
266D4×C11—84no—
267D4×C11—84no—
268C2×C4×C11—21no—
269C2×C4×C11—21no—
270C2×C4×C11—21no—
271C2×C4×C11—21no—
272C2×C4×C11—22no—
273C2×C4×C11—22no—
274C2×C4×C11—22no—
275C2×C4×C11—22no—
276C2×C4×C11—21no—
277C2×C4×C11—21no—
278C2×C4×C11—21no—
279C2×C4×C11—22no—
280C2×C4×C11—21no—
281C2×C4×C11—21no—
282C2×C4×C11—21no—
283C2×C4×C11—41no—
284C2×C4×C11—41no—
285C2×C4×C11—41no—
286C2×C4×C11—41no—
287C2×C4×C11—41no—
288C2×C4×C11—41no—
289C2×C4×C11—41no—
290C2×C4×C11—41no—
291C2×C4×C11—41no—
292C2×C4×C11—41no—
293C2×C4×C11—41no—
294C2×C4×C11—41no—
295C2×C4×C11#12312yes—
296C2×C4×C11#13512yes—
297C2×C4×C11C22×D411yescharacteristic
298C2×C4×C11C2×#4111yescharacteristic
299C2×C4×C11C2×#4111yescharacteristic
300C2×C4×C11C2×#4111yescharacteristic
301C2×C4×C11H(5,𝔽2)11yescharacteristic
302C2×C4×C112−1+411yescharacteristic
303C2×Dic11—22no—
304C2×Dic11—41no—
305C2×Dic11—41no—
306C2×Dic11—41no—
307C2×Dic11—41no—
308C2×Dic11—41no—
309C2×Dic11—41no—
310C2×Dic11—41no—
311C2×Dic11—41no—
312C2×Dic11—41no—
313C2×Dic11—41no—
314C2×Dic11—41no—
315C11⋊C8—22no—
316C11⋊C8—22no—
317C11⋊C8—41no—
318C11⋊C8—41no—
319C23×C8—111no—
320C2×#121C2×D1111yescharacteristic
321C2×#121C2×D1111yescharacteristic
322C2×C4×D4C2×D1111yescharacteristic
323C2×#117—111no—
324C2×#117—111no—
325C2×#117C2×D1111yescharacteristic
326#482—224no—
327#427—224no—
328C2×#107—111no—
329C2×#107—111no—
330C2×#107—111no—
331C2×#106—111no—
332C2×#106—111no—
333C2×#106—111no—
334C2×#102—111no—
335C2×#102—111no—
336C2×#102—111no—
337C2×#102—111no—
338C2×C22⋊C8—111no—
339C2×C22⋊C8—111no—
340C2×C22⋊C8—111no—
341#394—21no—
342#392—21no—
343#390—21no—
344#390—221no—
345#390C2×D1111yescharacteristic
346#389C2×D1111yescharacteristic
347#388—21no—
348#388—221no—
349#388—221no—
350#384—111no—
351#380—111no—
352#380—111no—
353#380C2×D1111yescharacteristic
354C4×C4⋊C4—111no—
355C4×C4⋊C4—221no—
356#340—111no—
357#340—111no—
358#340—111no—
359#340—111no—
360#340—111no—
361#340—111no—
362#336—111no—
363#336—111no—
364C22×C11—22no—
365C22×C11—22no—
366C22×C11—22no—
367C22×C11—41no—
368C22×C11—41no—
369C22×C11—41no—
370C22×C11—41no—
371C22×C11—41no—
372C22×C11—41no—
373C22×C11—41no—
374C22×C11—41no—
375C22×C11—41no—
376C22×C11—41no—
377C22×C11—41no—
378C22×C11—81no—
379C22×C11—81no—
380C22×C11—81no—
381C22×C11—81no—
382C22×C11—81no—
383C22×C11—81no—
384C22×C11—81no—
385C22×C11C2×#12311yescharacteristic
386C22×C11D4211yescharacteristic
387C22×C11#54711yescharacteristic
388C22×C11C2×#13511yescharacteristic
389C22×C11#57511yescharacteristic
390C22×C11#57611yescharacteristic
391C22×C11#57711yescharacteristic
392C4×C11—22no—
393C4×C11—22no—
394C4×C11—41no—
395C4×C11—41no—
396C4×C11—42no—
397C4×C11—81no—
398C4×C11—81no—
399C4×C11#52511yescharacteristic
400C4×C11#53911yescharacteristic
401C4×C11#54811yescharacteristic
402C4×C11#55311yescharacteristic
403Dic11—42no—
404Dic11—81no—
405Dic11—81no—
406Dic11—81no—
407C22×D4—21no—
408C22×D4—21no—
409C22×D4C22⋊D1111yescharacteristic
410C22×D4C22×D1111yescharacteristic
411C23×C4C22×D1111yescharacteristic
412C23×C4C22×D1111yescharacteristic
413C22×C8—111no—
414C22×C8—111no—
415C22×C8—111no—
416C22×C8—111no—
417C22×C8—222no—
418C22×C8—222no—
419C22×C8—222no—
420#121—22no—
421#121—22no—
422#121—22no—
423#121—41no—
424C4×D4—22no—
425C4×D4—22no—
426#117—22no—
427#117—41no—
428#117—222no—
429#117—222no—
430#117—441no—
431#117—441no—
432C2×C4⋊C4—21no—
433C2×C4⋊C4—111no—
434C2×C4⋊C4—111no—
435C2×C4⋊C4—111no—
436C2×C4⋊C4—111no—
437C2×C4⋊C4—221no—
438C2×C4⋊C4—221no—
439C2×C4⋊C4C22⋊D1111yescharacteristic
440C2×C4⋊C4C22×D1111yescharacteristic
441C2×C4⋊C4C22×D1111yescharacteristic
442C2×C4⋊C4C22×D1111yescharacteristic
443C2×C22⋊C4—21no—
444C2×C22⋊C4—21no—
445C2×C22⋊C4—21no—
446C2×C22⋊C4—21no—
447C2×C22⋊C4—21no—
448C2×C22⋊C4—21no—
449C2×C22⋊C4—221no—
450C2×C22⋊C4—221no—
451C2×C22⋊C4—221no—
452C2×C22⋊C4—221no—
453C2×C22⋊C4C22⋊D1111yescharacteristic
454C2×C22⋊C4C22⋊D1111yescharacteristic
455C2×C42—21no—
456C2×C42—221no—
457C2×C42—221no—
458C2×C42—221no—
459C2×C42C22×D1111yescharacteristic
460#107—114no—
461#107—222no—
462#107—441no—
463#106—222no—
464#106—222no—
465#106—222no—
466#102—222no—
467#102—222no—
468#102—222no—
469#102—441no—
470C22⋊C8—222no—
471C22⋊C8—222no—
472C22⋊C8—222no—
473#95—21no—
474#95—21no—
475#95—221no—
476#95—221no—
477#95—221no—
478C2×C11—42no—
479C2×C11—81no—
480C2×C11—161no—
481C2×C11#244311yescharacteristic
482C2×C11#309111yescharacteristic
483C2×C11#309611yescharacteristic
484C2×C11#326711yescharacteristic
485C2×C11#328711yescharacteristic
486C2×C11#334011yescharacteristic
487C2×C11#334711yescharacteristic
488C24—21no—
489C24C2×C22⋊D1111yescharacteristic
490C24C2×C22⋊D1111yescharacteristic
491C2×D4—22no—
492C2×D4—22no—
493C2×D4—21no—
494C2×D4—21no—
495C2×D4—21no—
496C2×D4—21no—
497C2×D4—21no—
498C2×D4—21no—
499C2×D4—41no—
500C2×D4—42no—
501C2×D4—42no—
502C2×D4—42no—
503C2×D4—81no—
504C2×D4—81no—
505C2×D4—81no—
506C22×C4—21no—
507C22×C4—21no—
508C22×C4—21no—
509C22×C4—21no—
510C22×C4—21no—
511C22×C4—21no—
512C22×C4—21no—
513C22×C4—21no—
514C22×C4—21no—
515C22×C4—21no—
516C22×C4—21no—
517C22×C4—21no—
518C22×C4—21no—
519C22×C4—221no—
520C22×C4—221no—
521C22×C4—221no—
522C22×C4—221no—
523C22×C4#434112yes—
524C22×C4#434112yes—
525C22×C4C2×C22⋊D1111yescharacteristic
526C22×C4C2×C22⋊D1111yescharacteristic
527C22×C4C2×C22⋊D1111yescharacteristic
528C22×C4C2×C22⋊D1111yescharacteristic
529C22×C4C23×D1111yescharacteristic
530C2×C8—112no—
531C2×C8—112no—
532C2×C8—228no—
533C2×C8—221no—
534C2×C8—221no—
535C2×C8—221no—
536C2×C8—221no—
537C2×C8—221no—
538C2×C8—221no—
539C2×C8—221no—
540C2×C8—221no—
541C2×C8—221no—
542C2×C8—221no—
543C4⋊C4—22no—
544C4⋊C4—21no—
545C4⋊C4—21no—
546C4⋊C4—21no—
547C4⋊C4—21no—
548C4⋊C4—21no—
549C4⋊C4—81no—
550C4⋊C4—112no—
551C4⋊C4—221no—
552C4⋊C4—221no—
553C4⋊C4—221no—
554C4⋊C4—221no—
555C4⋊C4—221no—
556C4⋊C4—221no—
557C4⋊C4—221no—
558C4⋊C4—442no—
559C4⋊C4—881no—
560C4⋊C4D4×D1112yes—
561C22⋊C4—22no—
562C22⋊C4—22no—
563C22⋊C4—42no—
564C22⋊C4—42no—
565C22⋊C4—42no—
566C22⋊C4—42no—
567C22⋊C4—81no—
568C22⋊C4—81no—
569C22⋊C4—442no—
570C22⋊C4—442no—
571C22⋊C4—881no—
572C22⋊C4—881no—
573C42—21no—
574C42—21no—
575C42—42no—
576C42—442no—
577C42—442no—
578C42—442no—
579C11#2613711yescharacteristic, complemented, Sylow
580C23—21no—
581C23—21no—
582C23—21no—
583C23—21no—
584C23—21no—
585C23—21no—
586C23—21no—
587C23—21no—
588C23—21no—
589C23—21no—
590C23—21no—
591C23—21no—
592C23—21no—
593C23—41no—
594C23—41no—
595C23—41no—
596C23—41no—
597C23—41no—
598C23—41no—
599C23—41no—
600C23#6698812yes—
601C23C22×C22⋊D1111yescharacteristic
602D4—44no—
603D4—41no—
604D4—41no—
605D4—41no—
606D4—41no—
607D4—84no—
608D4—84no—
609C2×C4—21no—
610C2×C4—21no—
611C2×C4—21no—
612C2×C4—21no—
613C2×C4—22no—
614C2×C4—22no—
615C2×C4—22no—
616C2×C4—22no—
617C2×C4—21no—
618C2×C4—21no—
619C2×C4—22no—
620C2×C4—21no—
621C2×C4—21no—
622C2×C4—21no—
623C2×C4—21no—
624C2×C4—41no—
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—41no—
634C2×C4—41no—
635C2×C4—41no—
636C2×C4—222no—
637C2×C4—441no—
638C2×C4—441no—
639C2×C4—441no—
640C2×C4—441no—
641C2×C4—441no—
642C2×C4—441no—
643C2×C4—441no—
644C2×C4—441no—
645C2×C4—441no—
646C2×C4—441no—
647C2×C4—441no—
648C2×C4#6698812yes—
649C2×C4#6700312yes—
650C2×C4C2×D4×D1111yescharacteristic
651C2×C4C2×#434111yescharacteristic
652C2×C4C2×#434111yescharacteristic
653C2×C4#6703711yescharacteristic
654C2×C4#41×D1111yescharacteristic
655C2×C4#6704311yescharacteristic
656C8—222no—
657C8—222no—
658C8—441no—
659C8—441no—
660C22—22no—
661C22—22no—
662C22—22no—
663C22—41no—
664C22—41no—
665C22—41no—
666C22—41no—
667C22—41no—
668C22—41no—
669C22—41no—
670C22—41no—
671C22—41no—
672C22—41no—
673C22—41no—
674C22—81no—
675C22—81no—
676C22—81no—
677C22—81no—
678C22—81no—
679C22—81no—
680C22—81no—
681C22C2×#6698811yescharacteristic
682C22D4×C22⋊D1111yescharacteristic
683C22C2×#6700311yescharacteristic
684C22#1062335311yescharacteristic
685C22#1062335511yescharacteristic
686C22#1062336611yescharacteristic
687C22#1062336711yescharacteristic
688C4—22no—
689C4—22no—
690C4—41no—
691C4—42no—
692C4—41no—
693C4—81no—
694C4—81no—
695C4—442no—
696C4—881no—
697C4—881no—
698C4—881no—
699C4#1062312911yescharacteristic
700C4#1062313211yescharacteristic
701C4#1062313311yescharacteristic
702C4#1062313711yescharacteristic
703C2—42no—
704C2—81no—
705C2—161no—
706C2#1307234711yescharacteristic
707C2#1307852511yescharacteristic
708C2#1307856811yescharacteristic
709C2#1308013711yescharacteristic
710C2#1308037211yescharacteristic
711C2#1308102911yescharacteristic
712C2#1308111011yescharacteristic
subgroupG/H
centerC23C22×C22⋊D11
commutator, cosocleC22×C4×C11C24
FrattiniC22×C4C23×D11
Fitting, prime radicalC11×#2414C2
socleC23×C11C22×D4
hypercenter#2414D11
hypocenterC11#26137
LCSG ▷ C22×C4×C11 ▷ C2×C11 ▷ C11
UCSC1 ◁ C23 ◁ C2×C4×D4 ◁ #2414

Complements

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

NH ≅ G/Ntype
1. C2×#10622648C2semidirect
2. C2×#10622611C2semidirect
3. #13071565C2semidirect
4. #13070144C2semidirect
5. #13070092C2semidirect
6. #13070042C2semidirect
7. #13069802C2semidirect
8. #13069240C2semidirect
9. #13069205C2semidirect
10. #13069045C2semidirect
11. #13068939C2semidirect
12. #13068909C2semidirect
13. #13068815C2semidirect
14. #13068813C2semidirect
131. #66871D4semidirect
579. C11#26137semidirect

Maximal subgroups

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

subgroupindex
C2×#106226482
C2×#106226112
#130715652
#130701442
#130700922
#130700422
#130698022
#130692402
#130692052
#130690452
#130689392
#130689092
#130688152
#130688132
C11×#24142
#2613711