Finite Group Databasebeta

← #14960775

Subgroups — #14960775

Order 2816.

2450 conjugacy classes of subgroups.

The subgroup lattice has 682 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#10623165C211yesmaximal, characteristic, complemented
2C22×#66947C211yesmaximal, characteristic
3#13076902C212yesmaximal, complemented
4#13075032C214yesmaximal, complemented
5#13075030C214yesmaximal, complemented
6#13074957C214yesmaximal, complemented
7#13074956C214yesmaximal, complemented
8#13074435C212yesmaximal, complemented
9#13073775C211yesmaximal, characteristic, complemented
10#13073769C211yesmaximal, characteristic, complemented
11#13073090C211yesmaximal, characteristic, complemented
12#13072896C212yesmaximal, complemented
13#13071945C212yesmaximal
14#13071211C211yesmaximal, characteristic, complemented
15C11×#2502C211yesmaximal, characteristic, complemented
16C23×D44C2211yescharacteristic
17C23×C4×D11C2211yescharacteristic
18C2×C11×C22⋊Q8C2211yescharacteristic
19C22×C11×C4⋊C4C2211yescharacteristic
20C2×#66999C2212yescomplemented
21C22×(C2×D11)⋊C4C2211yescharacteristic
22C22×(C2×D11)⋊C4C2211yescharacteristic
23C22×(C2×D11)⋊C4C2211yescharacteristic
24C2×#66977C2211yescharacteristic
25C22×Dic11⋊C4C2211yescharacteristic
26#10623165—28no—
27C2×#66950C2212yescomplemented
28C2×#66949C2212yescomplemented
29C2×#66949C2212yescomplemented
30C2×#66949C2214yescomplemented
31C2×#66947—28no—
32C2×#66947C2214yes—
33C2×#66947C2214yes—
34C2×#66947C2214yes—
35C2×C22⋊C4×D11C2212yes—
36C2×#66931C2212yes—
37C11×#398C2214yescomplemented
38C11×#391C2212yescomplemented
39C11×#385C2212yes—
40C11×#385C2212yes—
41C11×#384C2212yescomplemented
42C4×C11×C22⋊C4C2211yescharacteristic
43#10622844C2212yescomplemented
44#10622823C2212yes—
45#10622823C2212yes—
46C4×C22⋊Dic11C2211yescharacteristic
47#10622606C2214yescomplemented
48#10622606C2212yescomplemented
49#10622604C2214yes—
50#10622603C2214yescomplemented
51#10622602C2214yescomplemented
52#10622602C2214yescomplemented
53#10622593C2214yescomplemented
54#10622593C2214yescomplemented
55#10622592C2214yescomplemented
56#10622589C2212yescomplemented
57#10622587C2212yescomplemented
58#10622568C2212yes—
59#10622568C2212yes—
60#10622568C2212yes—
61#10622556C2212yes—
62#10622556C2212yes—
63#10622555C2212yes—
64#10622553C2214yescomplemented
65#10622553C2214yescomplemented
66#10622288C2214yescomplemented
67#10622287C2212yescomplemented
68#10622286C2212yescomplemented
69#10622285C2214yes—
70#10622282C2214yescomplemented
71#10622281C2214yescomplemented
72#10622280C2214yescomplemented
73#10622278C2214yes—
74#10622277C2214yescomplemented
75#10622271C2214yescomplemented
76#10622270C2214yescomplemented
77C24×D11C2311yescharacteristic
78C24×D11C2311yescharacteristic
79C22×Q8×C11C2311yescharacteristic
80C23×C4×C11C2311yescharacteristic
81C23×C4×C11C2311yescharacteristic
82C23×C4×C11C2311yescharacteristic
83C23×Dic11C2311yescharacteristic
84C23×Dic11C2311yescharacteristic
85C22×D44—24no—
86C22×D44—44no—
87C22×D44C2314yes—
88C22×C4×D11—24no—
89C22×C4×D11—44no—
90C22×C4×D11C2314yes—
91C22×C4×D11C2312yes—
92C22×C4×D11C2312yes—
93C22×Dic22C2312yes—
94C22×Dic22C2311yescharacteristic
95C11×C22⋊Q8—24no—
96C2×C11×C4⋊C4—24no—
97C2×C11×C4⋊C4C2312yes—
98C2×C11×C4⋊C4C2312yes—
99C2×C11×C4⋊C4C2311yescharacteristic
100C2×C11×C4⋊C4C2312yes—
101C2×C11×C4⋊C4C2314yes—
102C2×C11×C4⋊C4C2314yes—
103C2×C11×C22⋊C4C2312yes—
104C2×C11×C22⋊C4C2312yes—
105C2×C42×C11C2312yes—
106C2×C22⋊Dic11C2312yes—
107C2×C22⋊Dic11C2312yes—
108#66999—28no—
109C2×(C2×D11)⋊C4—24no—
110C2×(C2×D11)⋊C4—24no—
111C2×(C2×D11)⋊C4D418yes—
112C2×(C2×D11)⋊C4C2312yes—
113C2×(C2×D11)⋊C4C2312yes—
114C2×(C2×D11)⋊C4C2314yes—
115C2×(C2×D11)⋊C4C2312yes—
116C2×(C2×D11)⋊C4C2312yes—
117C2×(C2×D11)⋊C4C2314yes—
118C2×(C2×D11)⋊C4C2314yes—
119C2×(C2×D11)⋊C4C2314yes—
120C2×(C2×D11)⋊C4C2314yes—
121C2×(C2×D11)⋊C4C2314yes—
122C2×(C2×D11)⋊C4C2314yes—
123C2×(C2×D11)⋊C4C2312yes—
124C2×(C2×D11)⋊C4C2312yes—
125C2×C4⋊Dic11C2312yes—
126C2×C4⋊Dic11C2311yescharacteristic
127#66977—24no—
128C2×Dic11⋊C4—24no—
129C2×Dic11⋊C4C2312yes—
130C2×Dic11⋊C4C2312yes—
131C2×Dic11⋊C4C2314yes—
132C2×Dic11⋊C4C2312yes—
133C2×Dic11⋊C4C2314yes—
134C2×Dic11⋊C4C2314yes—
135C2×Dic11⋊C4C2314yes—
136C2×C4×Dic11C2312yes—
137#66950—28no—
138#66949—28no—
139#66949—28no—
140#66949—48no—
141#66947—216no—
142#66947—216no—
143#66947—48no—
144C22⋊C4×D11—28no—
145#66931—28no—
146C11×#95C2314yes—
147C11×#95C2314yes—
148C11×#95C2312yes—
149C11⋊#95C2314yes—
150C11⋊#95C2314yes—
151C11⋊#95C2314yes—
152C11⋊#95C2314yes—
153C11⋊#95C2314yes—
154C11⋊#95C2314yes—
155C11⋊#95C2312yes—
156C11⋊#95C2314yes—
157#36720—111nomaximal, Sylow
158C24×C11C2411yescharacteristic
159C23×D11—22no—
160C23×D11—24no—
161C23×D11—24no—
162C23×D11—24no—
163C23×D11—42no—
164C23×D11—42no—
165C23×D11—42no—
166C23×D11C2×D414yes—
167C23×D11C2412yes—
168C23×D11C2412yes—
169C2×Q8×C11—22no—
170C2×Q8×C11—42no—
171C22×C4×C11—22no—
172C22×C4×C11—22no—
173C22×C4×C11—42no—
174C22×C4×C11—42no—
175C22×C4×C11—42no—
176C22×C4×C11C2×D414yes—
177C22×C4×C11C2414yes—
178C22×C4×C11C2412yes—
179C22×C4×C11C2412yes—
180C22×C4×C11C2412yes—
181C22×C4×C11C2412yes—
182C22×C4×C11C2411yescharacteristic
183C22×C4×C11C2411yescharacteristic
184C22×Dic11—22no—
185C22×Dic11—24no—
186C22×Dic11—42no—
187C22×Dic11C2×D414yes—
188C22×Dic11C2412yes—
189C22×Dic11C2414yes—
190C22×Dic11C2412yes—
191C22×Dic11C2412yes—
192C22×Dic11C2412yes—
193C2×D44—28no—
194C2×D44—28no—
195C2×D44—44no—
196C2×D44—416no—
197C2×C4×D11—28no—
198C2×C4×D11—24no—
199C2×C4×D11—24no—
200C2×C4×D11—28no—
201C2×C4×D11—44no—
202C2×C4×D11—44no—
203C2×C4×D11—44no—
204C2×C4×D11—416no—
205C2×Dic22—24no—
206C2×Dic22—22no—
207C2×Dic22—44no—
208C2×Dic22—42no—
209C11×C4⋊C4—24no—
210C11×C4⋊C4—24no—
211C11×C4⋊C4—22no—
212C11×C4⋊C4—24no—
213C11×C4⋊C4—44no—
214C11×C4⋊C4—44no—
215C11×C22⋊C4—24no—
216C11×C22⋊C4—24no—
217C42×C11—42no—
218C22⋊Dic11—24no—
219C22⋊Dic11—24no—
220(C2×D11)⋊C4—24no—
221(C2×D11)⋊C4—24no—
222(C2×D11)⋊C4—28no—
223(C2×D11)⋊C4—28no—
224(C2×D11)⋊C4—28no—
225(C2×D11)⋊C4—24no—
226(C2×D11)⋊C4—24no—
227(C2×D11)⋊C4—44no—
228(C2×D11)⋊C4—44no—
229(C2×D11)⋊C4—44no—
230(C2×D11)⋊C4—44no—
231(C2×D11)⋊C4C2×D418yes—
232(C2×D11)⋊C4C2×D418yes—
233C4⋊Dic11—24no—
234C4⋊Dic11—22no—
235Dic11⋊C4—24no—
236Dic11⋊C4—24no—
237Dic11⋊C4—28no—
238Dic11⋊C4—24no—
239Dic11⋊C4—44no—
240Dic11⋊C4—44no—
241Dic11⋊C4—44no—
242C4×Dic11—42no—
243C2×#543—111no—
244C22×#123—111no—
245#2848—112no—
246#2687—114no—
247#2687—114no—
248#2680—114no—
249#2680—114no—
250#2627—112no—
251#2561—111no—
252#2561—111no—
253#2502—111no—
254#2502D1111yescharacteristic, complemented
255#2483—112no—
256#2405—112no—
257#2312—111no—
258C23×C11—22no—
259C23×C11—22no—
260C23×C11C22×D412yes—
261C23×C112−1+414yes—
262C23×C11C2511yescharacteristic
263C22×D11—28no—
264C22×D11—22no—
265C22×D11—24no—
266C22×D11—22no—
267C22×D11—24no—
268C22×D11—24no—
269C22×D11—24no—
270C22×D11—24no—
271C22×D11—28no—
272C22×D11—44no—
273C22×D11—44no—
274C22×D11—416no—
275C22×D11—44no—
276C22×D11—44no—
277C22×D11—88no—
278C22×D11C22×D414yes—
279C22×D11H(5,𝔽2)14yes—
280Q8×C11—82no—
281C2×C4×C11—22no—
282C2×C4×C11—22no—
283C2×C4×C11—22no—
284C2×C4×C11—22no—
285C2×C4×C11—22no—
286C2×C4×C11—22no—
287C2×C4×C11—24no—
288C2×C4×C11—24no—
289C2×C4×C11—24no—
290C2×C4×C11—24no—
291C2×C4×C11—24no—
292C2×C4×C11—24no—
293C2×C4×C11—24no—
294C2×C4×C11—44no—
295C2×C4×C11—44no—
296C2×C4×C11—44no—
297C2×C4×C11C22×D412yes—
298C2×C4×C11C22×D412yes—
299C2×Dic11—24no—
300C2×Dic11—22no—
301C2×Dic11—22no—
302C2×Dic11—22no—
303C2×Dic11—24no—
304C2×Dic11—24no—
305C2×Dic11—24no—
306C2×Dic11—24no—
307C2×Dic11—24no—
308C2×Dic11—24no—
309C2×Dic11—44no—
310C2×Dic11—44no—
311C2×Dic11C22×D414yes—
312D44—416no—
313C4×D11—416no—
314C4×D11—84no—
315C4×D11—84no—
316Dic22—84no—
317Dic22—82no—
318C23×D4—111no—
319C24×C4—111no—
320#543—228no—
321C2×#123—114no—
322C2×#123—114no—
323C2×#123—114no—
324C2×#123—228no—
325C2×C22⋊Q8—112no—
326C2×C22⋊Q8—111no—
327C2×C22⋊Q8—112no—
328C2×C22⋊Q8—112no—
329C2×C22⋊Q8—112no—
330C2×C22⋊Q8—114no—
331C2×C22⋊Q8—112no—
332C2×C22⋊Q8C2×D1111yescharacteristic
333C22×C4⋊C4—111no—
334C22×C4⋊C4C2×D1111yescharacteristic
335C22×C22⋊C4—111no—
336C22×C22⋊C4—111no—
337C22×C22⋊C4—111no—
338C22×C22⋊C4—112no—
339#400—114no—
340#398—114no—
341#398—114no—
342#398—114no—
343#398C2×D1114yescomplemented
344#397—112no—
345#397—114no—
346#397—112no—
347#397—114no—
348#395—114no—
349#394—114no—
350#394—114no—
351#393—112no—
352#393—112no—
353#391—112no—
354#391C2×D1112yescomplemented
355#388—114no—
356#388—114no—
357#388—114no—
358#388—114no—
359#386—114no—
360#385—112no—
361#385—112no—
362#385—114no—
363#385—114no—
364#385—114no—
365#385C2×D1112yes—
366#385C2×D1112yes—
367#384—112no—
368#384C2×D1112yescomplemented
369#381—112no—
370#381—112no—
371#381—114no—
372#380—112no—
373#380—114no—
374#379—112no—
375#379—112no—
376#379—112no—
377C4×C22⋊C4—111no—
378C4×C22⋊C4C2×D1111yescharacteristic
379C22×C11—22no—
380C22×C11—22no—
381C22×C11—28no—
382C22×C11#53614yes—
383C22×C11C23×D411yescharacteristic
384C22×C11C2×H(5,𝔽2)12yes—
385C22×C11C2×2−1+412yes—
386C22×C11#58512yes—
387C2×D11—24no—
388C2×D11—24no—
389C2×D11—24no—
390C2×D11—24no—
391C2×D11—28no—
392C2×D11—416no—
393C2×D11—42no—
394C2×D11—42no—
395C2×D11—44no—
396C2×D11—48no—
397C2×D11—88no—
398C4×C11—22no—
399C4×C11—22no—
400C4×C11—42no—
401C4×C11—42no—
402C4×C11—42no—
403C4×C11—42no—
404C4×C11—44no—
405Dic11—24no—
406Dic11—42no—
407Dic11—42no—
408Dic11—42no—
409Dic11—44no—
410C25—111no—
411C25—111no—
412C22×Q8—112no—
413C22×Q8—111no—
414C22×Q8C22×D1111yescharacteristic
415C22×D4—114no—
416C22×D4—224no—
417C22×D4—444no—
418C23×C4—111no—
419C23×C4—111no—
420C23×C4—114no—
421C23×C4—112no—
422C23×C4—112no—
423C23×C4—224no—
424C23×C4—444no—
425C23×C4C22×D1111yescharacteristic
426C23×C4C22×D1111yescharacteristic
427C23×C4C22×D1111yescharacteristic
428#123—2216no—
429#123—2216no—
430#123—448no—
431C22⋊Q8—24no—
432C22⋊Q8—228no—
433C22⋊Q8—228no—
434C22⋊Q8—228no—
435C22⋊Q8—228no—
436C22⋊Q8—228no—
437C22⋊Q8—224no—
438C22⋊Q8—448no—
439C2×C4⋊C4—24no—
440C2×C4⋊C4—114no—
441C2×C4⋊C4—112no—
442C2×C4⋊C4—111no—
443C2×C4⋊C4—112no—
444C2×C4⋊C4—112no—
445C2×C4⋊C4—112no—
446C2×C4⋊C4—114no—
447C2×C4⋊C4—114no—
448C2×C4⋊C4—114no—
449C2×C4⋊C4—224no—
450C2×C4⋊C4C22×D1112yes—
451C2×C4⋊C4C22×D1112yes—
452C2×C4⋊C4C22×D1111yescharacteristic
453C2×C4⋊C4C22×D1112yes—
454C2×C4⋊C4C22×D1114yes—
455C2×C4⋊C4C22×D1114yes—
456C2×C22⋊C4—118no—
457C2×C22⋊C4—112no—
458C2×C22⋊C4—112no—
459C2×C22⋊C4—112no—
460C2×C22⋊C4—112no—
461C2×C22⋊C4—112no—
462C2×C22⋊C4—112no—
463C2×C22⋊C4—114no—
464C2×C22⋊C4—112no—
465C2×C22⋊C4—112no—
466C2×C22⋊C4—114no—
467C2×C22⋊C4—114no—
468C2×C22⋊C4—114no—
469C2×C22⋊C4—114no—
470C2×C22⋊C4—114no—
471C2×C22⋊C4—114no—
472C2×C22⋊C4—228no—
473C2×C22⋊C4—224no—
474C2×C22⋊C4—224no—
475C2×C22⋊C4C22×D1112yes—
476C2×C22⋊C4C22×D1112yes—
477C2×C42—112no—
478C2×C42C22×D1112yes—
479#95—112no—
480#95—114no—
481#95—114no—
482#95—114no—
483#95—114no—
484#95—114no—
485#95—114no—
486#95—114no—
487#95C22×D1112yes—
488#95C22×D1114yes—
489#95C22×D1114yes—
490C2×C11—24no—
491C2×C11C2×#53611yescharacteristic
492C2×C11#348411yescharacteristic
493C2×C11#348511yescharacteristic
494C2×C11#353514yes—
495D11—44no—
496D11—44no—
497C24—112no—
498C24—112no—
499C24—114no—
500C24—224no—
501C24—222no—
502C24—224no—
503C24—224no—
504C24—442no—
505C24—442no—
506C24—442no—
507C24C23×D1111yescharacteristic
508C2×Q8—22no—
509C2×Q8—42no—
510C2×Q8—224no—
511C2×Q8—222no—
512C2×Q8—444no—
513C2×Q8—442no—
514C2×D4—228no—
515C2×D4—228no—
516C2×D4—444no—
517C2×D4—4416no—
518C22×C4—22no—
519C22×C4—22no—
520C22×C4—42no—
521C22×C4—42no—
522C22×C4—42no—
523C22×C4—112no—
524C22×C4—114no—
525C22×C4—112no—
526C22×C4—114no—
527C22×C4—112no—
528C22×C4—112no—
529C22×C4—228no—
530C22×C4—228no—
531C22×C4—224no—
532C22×C4—224no—
533C22×C4—222no—
534C22×C4—224no—
535C22×C4—444no—
536C22×C4—444no—
537C22×C4—444no—
538C22×C4—4416no—
539C22×C4—442no—
540C22×C4D4×D1114yes—
541C22×C4C23×D1114yes—
542C22×C4C23×D1112yes—
543C22×C4C23×D1112yes—
544C22×C4C23×D1112yes—
545C22×C4C23×D1112yes—
546C22×C4C23×D1111yescharacteristic
547C22×C4C23×D1111yescharacteristic
548C4⋊C4—24no—
549C4⋊C4—24no—
550C4⋊C4—22no—
551C4⋊C4—24no—
552C4⋊C4—44no—
553C4⋊C4—44no—
554C4⋊C4—228no—
555C4⋊C4—224no—
556C4⋊C4—224no—
557C4⋊C4—224no—
558C4⋊C4—224no—
559C4⋊C4—222no—
560C4⋊C4—444no—
561C4⋊C4—444no—
562C4⋊C4—444no—
563C22⋊C4—24no—
564C22⋊C4—24no—
565C22⋊C4—118no—
566C22⋊C4—118no—
567C22⋊C4—224no—
568C22⋊C4—224no—
569C22⋊C4—228no—
570C22⋊C4—228no—
571C22⋊C4—228no—
572C22⋊C4—224no—
573C22⋊C4—224no—
574C22⋊C4—224no—
575C22⋊C4—224no—
576C22⋊C4—444no—
577C22⋊C4—444no—
578C22⋊C4—444no—
579C22⋊C4—444no—
580C42—42no—
581C42—442no—
582C11#3672011yescharacteristic, complemented, Sylow
583C23—22no—
584C23—22no—
585C23—114no—
586C23—114no—
587C23—228no—
588C23—222no—
589C23—224no—
590C23—224no—
591C23—224no—
592C23—224no—
593C23—224no—
594C23—222no—
595C23—228no—
596C23—444no—
597C23—444no—
598C23—4416no—
599C23—444no—
600C23—444no—
601C23—888no—
602C23C2×D4×D1112yes—
603C23#6704014yes—
604C23C24×D1111yescharacteristic
605Q8—82no—
606Q8—882no—
607Q8—884no—
608D4—4416no—
609C2×C4—22no—
610C2×C4—22no—
611C2×C4—22no—
612C2×C4—22no—
613C2×C4—22no—
614C2×C4—22no—
615C2×C4—24no—
616C2×C4—24no—
617C2×C4—24no—
618C2×C4—24no—
619C2×C4—24no—
620C2×C4—24no—
621C2×C4—24no—
622C2×C4—44no—
623C2×C4—44no—
624C2×C4—44no—
625C2×C4—114no—
626C2×C4—224no—
627C2×C4—222no—
628C2×C4—222no—
629C2×C4—222no—
630C2×C4—224no—
631C2×C4—224no—
632C2×C4—224no—
633C2×C4—224no—
634C2×C4—224no—
635C2×C4—224no—
636C2×C4—4416no—
637C2×C4—444no—
638C2×C4—444no—
639C2×C4—884no—
640C2×C4—884no—
641C2×C4C2×D4×D1112yes—
642C2×C4C2×D4×D1112yes—
643C22—22no—
644C22—22no—
645C22—28no—
646C22—224no—
647C22—224no—
648C22—224no—
649C22—224no—
650C22—228no—
651C22—4416no—
652C22—442no—
653C22—442no—
654C22—444no—
655C22—448no—
656C22—888no—
657C22#1062325514yes—
658C22C22×D4×D1111yescharacteristic
659C22C2×#6704012yes—
660C22#1062345312yes—
661C22D11×H(5,𝔽2)12yes—
662C4—22no—
663C4—22no—
664C4—42no—
665C4—42no—
666C4—42no—
667C4—42no—
668C4—44no—
669C4—224no—
670C4—442no—
671C4—442no—
672C4—442no—
673C4—444no—
674C2—24no—
675C2—444no—
676C2—444no—
677C2C2×#1062325511yescharacteristic
678C2#1308225011yescharacteristic
679C2#1308225411yescharacteristic
680C2#1308282014yes—
subgroupG/H
center, FrattiniC23C24×D11
commutator, socle, cosocleC23×C11C25
FittingC11×#2502C2
prime radicalC23×D44C22
hypercenter#2502D11
hypocenterC11#36720
LCSG ▷ C23×C11 ▷ C11
UCSC1 ◁ C23 ◁ #2502

Complements

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

NH ≅ G/Ntype
1. C2×#10623165C2semidirect
3. #13076902C2semidirect
4. #13075032C2semidirect
5. #13075030C2semidirect
6. #13074957C2semidirect
7. #13074956C2semidirect
8. #13074435C2semidirect
9. #13073775C2semidirect
10. #13073769C2semidirect
11. #13073090C2semidirect
12. #13072896C2semidirect
14. #13071211C2semidirect
15. C11×#2502C2semidirect
20. C2×#66999C22semidirect
27. C2×#66950C22semidirect
28. C2×#66949C22semidirect
29. C2×#66949C22semidirect
30. C2×#66949C22semidirect
37. C11×#398C22semidirect
38. C11×#391C22semidirect
41. C11×#384C22semidirect
43. #10622844C22semidirect
47. #10622606C22semidirect
48. #10622606C22semidirect
50. #10622603C22semidirect
51. #10622602C22semidirect
52. #10622602C22semidirect
53. #10622593C22semidirect
54. #10622593C22semidirect
55. #10622592C22semidirect
56. #10622589C22semidirect
57. #10622587C22semidirect
64. #10622553C22semidirect
65. #10622553C22semidirect
66. #10622288C22semidirect
67. #10622287C22semidirect
68. #10622286C22semidirect
70. #10622282C22semidirect
71. #10622281C22semidirect
72. #10622280C22semidirect
74. #10622277C22semidirect
75. #10622271C22semidirect
76. #10622270C22semidirect
254. #2502D11semidirect
343. #398C2×D11semidirect
354. #391C2×D11semidirect
368. #384C2×D11semidirect
582. C11#36720semidirect

Maximal subgroups

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

subgroupindex
C2×#106231652
C22×#669472
#130769022
#130750322
#130750302
#130749572
#130749562
#130744352
#130737752
#130737692
#130730902
#130728962
#130719452
#130712112
C11×#25022
#3672011