Finite Group Databasebeta

← #14960619

Subgroups — #14960619

Order 2816.

2422 conjugacy classes of subgroups.

The subgroup lattice has 692 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#10623154C211yesmaximal, characteristic, complemented
2C22×#66947C211yesmaximal, characteristic
3#13076902C212yesmaximal, complemented
4#13075133C214yesmaximal, complemented
5#13075129C214yesmaximal, complemented
6#13074898C214yesmaximal, complemented
7#13074890C214yesmaximal, complemented
8#13074427C212yesmaximal, complemented
9#13073996C211yesmaximal, characteristic, complemented
10#13072889C212yesmaximal, complemented
11#13072889C212yesmaximal, complemented
12#13072268C211yesmaximal, characteristic
13#13072267C211yesmaximal, characteristic
14#13071216C211yesmaximal, characteristic, complemented
15C11×#2583C211yesmaximal, characteristic, complemented
16C23×D44C2211yescharacteristic
17C23×C4×D11C2211yescharacteristic
18C2×C11×C22⋊Q8C2211yescharacteristic
19C22×C11×C4⋊C4C2211yescharacteristic
20C2×#67000C2212yes—
21C2×#66997C2212yescomplemented
22C22×(C2×D11)⋊C4C2211yescharacteristic
23C22×(C2×D11)⋊C4C2211yescharacteristic
24C22×(C2×D11)⋊C4C2211yescharacteristic
25C2×#66977C2211yescharacteristic
26C22×Dic11⋊C4C2211yescharacteristic
27#10623154—28no—
28C2×#66949C2214yescomplemented
29C2×#66947—28no—
30C2×#66947C2214yes—
31C2×#66947C2214yes—
32C2×#66942C2212yescomplemented
33C2×#66942C2212yescomplemented
34C2×#66941C2212yescomplemented
35C2×#66931C2212yes—
36C2×#66930C2212yes—
37C2×#66928C2212yes—
38C11×#398C2212yescomplemented
39C11×#395C2212yescomplemented
40C11×#389C2214yescomplemented
41C11×#385C2212yes—
42C11×#385C2212yes—
43C4×C11×C22⋊C4C2211yescharacteristic
44#10622823C2212yes—
45#10622823C2212yes—
46C4×C22⋊Dic11C2211yescharacteristic
47#10622607C2214yescomplemented
48#10622605C2214yescomplemented
49#10622605C2214yescomplemented
50#10622605C2214yescomplemented
51#10622604C2214yes—
52#10622603C2214yescomplemented
53#10622603C2214yescomplemented
54#10622602C2214yescomplemented
55#10622601C2212yes—
56#10622596C2212yescomplemented
57#10622592C2212yescomplemented
58#10622585C2214yescomplemented
59#10622568C2212yes—
60#10622568C2212yes—
61#10622568C2212yes—
62#10622568C2212yes—
63#10622556C2212yes—
64#10622555C2212yes—
65#10622552C2212yes—
66#10622546C2214yescomplemented
67#10622289C2214yescomplemented
68#10622288C2214yescomplemented
69#10622288C2214yescomplemented
70#10622286C2214yescomplemented
71#10622285C2214yes—
72#10622282C2214yescomplemented
73#10622282C2214yescomplemented
74#10622281C2214yescomplemented
75#10622280C2214yescomplemented
76#10622265C2214yescomplemented
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×D44C2312yes—
88C22×D44C2312yes—
89C22×C4×D11—24no—
90C22×C4×D11—44no—
91C22×C4×D11C2314yes—
92C22×Dic22C2311yescharacteristic
93C22×Dic22C2312yes—
94C11×C22⋊Q8—24no—
95C2×C11×C4⋊C4—24no—
96C2×C11×C4⋊C4C2312yes—
97C2×C11×C4⋊C4C2311yescharacteristic
98C2×C11×C4⋊C4C2312yes—
99C2×C11×C4⋊C4C2312yes—
100C2×C11×C4⋊C4C2314yes—
101C2×C11×C4⋊C4C2314yes—
102C2×C11×C22⋊C4C2312yes—
103C2×C11×C22⋊C4C2312yes—
104C2×C42×C11C2312yes—
105C2×C22⋊Dic11C2312yes—
106C2×C22⋊Dic11C2312yes—
107#67000—44no—
108#66997—28no—
109C2×(C2×D11)⋊C4—24no—
110C2×(C2×D11)⋊C4—24no—
111C2×(C2×D11)⋊C4—24no—
112C2×(C2×D11)⋊C4C2314yes—
113C2×(C2×D11)⋊C4C2314yes—
114C2×(C2×D11)⋊C4C2314yes—
115C2×(C2×D11)⋊C4C2314yes—
116C2×(C2×D11)⋊C4C2314yes—
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×C4⋊Dic11C2312yes—
124C2×C4⋊Dic11C2311yescharacteristic
125#66977—24no—
126C2×Dic11⋊C4D418yes—
127C2×Dic11⋊C4C2312yes—
128C2×Dic11⋊C4C2312yes—
129C2×Dic11⋊C4C2312yes—
130C2×Dic11⋊C4C2312yes—
131C2×Dic11⋊C4C2312yes—
132C2×Dic11⋊C4C2314yes—
133C2×Dic11⋊C4C2314yes—
134C2×Dic11⋊C4C2314yes—
135C2×Dic11⋊C4C2312yes—
136C2×Dic11⋊C4C2312yes—
137C2×C4×Dic11C2312yes—
138C2×C4×Dic11C2312yes—
139C2×C4×Dic11C2312yes—
140#66949—48no—
141#66947—216no—
142#66947—216no—
143#66942—28no—
144#66942—28no—
145#66941—28no—
146#66931—28no—
147#66930—28no—
148#66928—44no—
149C11×#95C2312yes—
150C11×#95C2314yes—
151C11×#95C2314yes—
152C11⋊#95C2314yes—
153C11⋊#95C2314yes—
154C11⋊#95C2314yes—
155C11⋊#95C2314yes—
156C11⋊#95C2314yes—
157C11⋊#95C2312yes—
158#36711—111nomaximal, Sylow
159C24×C11C2411yescharacteristic
160C23×D11—22no—
161C23×D11—24no—
162C23×D11—22no—
163C23×D11—24no—
164C23×D11—24no—
165C23×D11—42no—
166C23×D11—42no—
167C23×D11—42no—
168C23×D11C2412yes—
169C23×D11C2412yes—
170C2×Q8×C11—22no—
171C2×Q8×C11—42no—
172C22×C4×C11—22no—
173C22×C4×C11—22no—
174C22×C4×C11—42no—
175C22×C4×C11—42no—
176C22×C4×C11—42no—
177C22×C4×C11C2×D414yes—
178C22×C4×C11C2414yes—
179C22×C4×C11C2412yes—
180C22×C4×C11C2412yes—
181C22×C4×C11C2412yes—
182C22×C4×C11C2412yes—
183C22×C4×C11C2411yescharacteristic
184C22×C4×C11C2411yescharacteristic
185C22×Dic11—24no—
186C22×Dic11—42no—
187C22×Dic11C2×D414yes—
188C22×Dic11C2×D414yes—
189C22×Dic11C2414yes—
190C22×Dic11C2412yes—
191C22×Dic11C2412yes—
192C22×Dic11C2412yes—
193C22×Dic11C2412yes—
194C2×D44—24no—
195C2×D44—24no—
196C2×D44—24no—
197C2×D44—24no—
198C2×D44—42no—
199C2×D44—42no—
200C2×D44—416no—
201C2×C4×D11—28no—
202C2×C4×D11—28no—
203C2×C4×D11—44no—
204C2×C4×D11—416no—
205C2×Dic22—24no—
206C2×Dic22—22no—
207C2×Dic22—42no—
208C2×Dic22—44no—
209C11×C4⋊C4—24no—
210C11×C4⋊C4—22no—
211C11×C4⋊C4—24no—
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—28no—
221(C2×D11)⋊C4—28no—
222(C2×D11)⋊C4—28no—
223(C2×D11)⋊C4—28no—
224(C2×D11)⋊C4—28no—
225(C2×D11)⋊C4—44no—
226(C2×D11)⋊C4—44no—
227(C2×D11)⋊C4—44no—
228(C2×D11)⋊C4—44no—
229(C2×D11)⋊C4—44no—
230(C2×D11)⋊C4—44no—
231C4⋊Dic11—24no—
232C4⋊Dic11—22no—
233Dic11⋊C4—24no—
234Dic11⋊C4—24no—
235Dic11⋊C4—24no—
236Dic11⋊C4—24no—
237Dic11⋊C4—24no—
238Dic11⋊C4—44no—
239Dic11⋊C4—44no—
240Dic11⋊C4—44no—
241Dic11⋊C4C2×D418yes—
242Dic11⋊C4C2×D418yes—
243C4×Dic11—24no—
244C4×Dic11—24no—
245C4×Dic11—42no—
246C2×#544—111no—
247C22×#123—111no—
248#2848—112no—
249#2694—114no—
250#2694—114no—
251#2674—114no—
252#2674—114no—
253#2626—112no—
254#2583—111no—
255#2583D1111yescharacteristic, complemented
256#2482—112no—
257#2482—112no—
258#2435—111no—
259#2435—111no—
260#2313—111no—
261C23×C11—22no—
262C23×C11—22no—
263C23×C11C22×D412yes—
264C23×C112−1+414yes—
265C23×C11C2511yescharacteristic
266C22×D11—28no—
267C22×D11—22no—
268C22×D11—22no—
269C22×D11—24no—
270C22×D11—24no—
271C22×D11—22no—
272C22×D11—22no—
273C22×D11—22no—
274C22×D11—24no—
275C22×D11—24no—
276C22×D11—416no—
277C22×D11—44no—
278C22×D11—44no—
279C22×D11—44no—
280C22×D11—44no—
281C22×D11—44no—
282C22×D11—88no—
283C22×D11H(5,𝔽2)14yes—
284Q8×C11—82no—
285C2×C4×C11—22no—
286C2×C4×C11—22no—
287C2×C4×C11—22no—
288C2×C4×C11—22no—
289C2×C4×C11—22no—
290C2×C4×C11—22no—
291C2×C4×C11—24no—
292C2×C4×C11—24no—
293C2×C4×C11—24no—
294C2×C4×C11—24no—
295C2×C4×C11—22no—
296C2×C4×C11—24no—
297C2×C4×C11—24no—
298C2×C4×C11—22no—
299C2×C4×C11—44no—
300C2×C4×C11—44no—
301C2×C4×C11—44no—
302C2×C4×C11C22×D412yes—
303C2×C4×C11C22×D412yes—
304C2×Dic11—28no—
305C2×Dic11—24no—
306C2×Dic11—24no—
307C2×Dic11—22no—
308C2×Dic11—22no—
309C2×Dic11—24no—
310C2×Dic11—24no—
311C2×Dic11—24no—
312C2×Dic11—24no—
313C2×Dic11—24no—
314C2×Dic11—44no—
315C2×Dic11C22×D414yes—
316C2×Dic11C22×D414yes—
317D44—48no—
318D44—48no—
319C4×D11—416no—
320Dic22—84no—
321Dic22—82no—
322C23×D4—111no—
323C24×C4—111no—
324#544—228no—
325C2×C4⋊Q8—112no—
326C2×C4⋊Q8—112no—
327C2×#125—112no—
328C2×#125—112no—
329C2×#124—112no—
330C2×#124—112no—
331C2×#123—114no—
332C2×#123—114no—
333C2×#123—228no—
334C2×C22⋊Q8—111no—
335C2×C22⋊Q8—114no—
336C2×C22⋊Q8—112no—
337C2×C22⋊Q8C2×D1111yescharacteristic
338C2×#117—112no—
339C22×C4⋊C4—111no—
340C22×C4⋊C4C2×D1111yescharacteristic
341C22×C22⋊C4—111no—
342C22×C22⋊C4—111no—
343C22×C22⋊C4—111no—
344#399—114no—
345#399—114no—
346#399—114no—
347#398—112no—
348#398C2×D1112yescomplemented
349#397—114no—
350#397—114no—
351#396—114no—
352#396—114no—
353#395—112no—
354#395C2×D1112yescomplemented
355#394—114no—
356#394—114no—
357#393—114no—
358#390—112no—
359#390—112no—
360#389—114no—
361#389C2×D1114yescomplemented
362#388—114no—
363#388—114no—
364#388—114no—
365#388—114no—
366#387—114no—
367#387—114no—
368#385—112no—
369#385—112no—
370#385—114no—
371#385—114no—
372#385C2×D1112yes—
373#385C2×D1112yes—
374#381—112no—
375#380—112no—
376#380—114no—
377#379—112no—
378#379—112no—
379#379—112no—
380#379—112no—
381C4×C22⋊C4—111no—
382C4×C22⋊C4C2×D1111yescharacteristic
383C22×C11—22no—
384C22×C11—22no—
385C22×C11—28no—
386C22×C11#53614yes—
387C22×C11C23×D411yescharacteristic
388C22×C11C2×H(5,𝔽2)12yes—
389C22×C11C2×2−1+412yes—
390C22×C11#58512yes—
391C2×D11—24no—
392C2×D11—28no—
393C2×D11—416no—
394C2×D11—42no—
395C2×D11—42no—
396C2×D11—44no—
397C2×D11—42no—
398C2×D11—42no—
399C2×D11—42no—
400C2×D11—44no—
401C2×D11—44no—
402C2×D11—88no—
403C4×C11—22no—
404C4×C11—22no—
405C4×C11—42no—
406C4×C11—42no—
407C4×C11—42no—
408C4×C11—42no—
409C4×C11—44no—
410Dic11—24no—
411Dic11—24no—
412Dic11—42no—
413Dic11—42no—
414Dic11—44no—
415C25—111no—
416C25—111no—
417C22×Q8—112no—
418C22×Q8—111no—
419C22×Q8C22×D1111yescharacteristic
420C22×D4—112no—
421C22×D4—112no—
422C22×D4—224no—
423C22×D4—444no—
424C23×C4—111no—
425C23×C4—111no—
426C23×C4—114no—
427C23×C4—224no—
428C23×C4—444no—
429C23×C4C22×D1111yescharacteristic
430C23×C4C22×D1111yescharacteristic
431C23×C4C22×D1111yescharacteristic
432C4⋊Q8—228no—
433C4⋊Q8—228no—
434#125—228no—
435#125—228no—
436#124—444no—
437#124—444no—
438#123—2216no—
439#123—2216no—
440C22⋊Q8—24no—
441C22⋊Q8—228no—
442C22⋊Q8—224no—
443C22⋊Q8—448no—
444#117—228no—
445C2×C4⋊C4—24no—
446C2×C4⋊C4—118no—
447C2×C4⋊C4—112no—
448C2×C4⋊C4—112no—
449C2×C4⋊C4—112no—
450C2×C4⋊C4—112no—
451C2×C4⋊C4—112no—
452C2×C4⋊C4—111no—
453C2×C4⋊C4—112no—
454C2×C4⋊C4—112no—
455C2×C4⋊C4—112no—
456C2×C4⋊C4—114no—
457C2×C4⋊C4—114no—
458C2×C4⋊C4—114no—
459C2×C4⋊C4C22×D1112yes—
460C2×C4⋊C4C22×D1112yes—
461C2×C4⋊C4C22×D1111yescharacteristic
462C2×C4⋊C4C22×D1112yes—
463C2×C4⋊C4C22×D1114yes—
464C2×C4⋊C4C22×D1114yes—
465C2×C22⋊C4—112no—
466C2×C22⋊C4—112no—
467C2×C22⋊C4—114no—
468C2×C22⋊C4—114no—
469C2×C22⋊C4—114no—
470C2×C22⋊C4—114no—
471C2×C22⋊C4—114no—
472C2×C22⋊C4—114no—
473C2×C22⋊C4—114no—
474C2×C22⋊C4—114no—
475C2×C22⋊C4—114no—
476C2×C22⋊C4—114no—
477C2×C22⋊C4—114no—
478C2×C22⋊C4—224no—
479C2×C22⋊C4—224no—
480C2×C22⋊C4—224no—
481C2×C22⋊C4C22×D1112yes—
482C2×C22⋊C4C22×D1112yes—
483C2×C42—112no—
484C2×C42—112no—
485C2×C42—112no—
486C2×C42C22×D1112yes—
487#95—112no—
488#95—114no—
489#95—114no—
490#95—114no—
491#95—114no—
492#95—114no—
493#95C22×D1112yes—
494#95C22×D1114yes—
495#95C22×D1114yes—
496C2×C11—24no—
497C2×C11C2×#53611yescharacteristic
498C2×C11#348411yescharacteristic
499C2×C11#348711yescharacteristic
500C2×C11#353514yes—
501D11—44no—
502D11—82no—
503C24—112no—
504C24—112no—
505C24—224no—
506C24—222no—
507C24—222no—
508C24—224no—
509C24—224no—
510C24—442no—
511C24—442no—
512C24—442no—
513C24C23×D1111yescharacteristic
514C2×Q8—22no—
515C2×Q8—42no—
516C2×Q8—224no—
517C2×Q8—222no—
518C2×Q8—444no—
519C2×Q8—442no—
520C2×D4—224no—
521C2×D4—224no—
522C2×D4—224no—
523C2×D4—224no—
524C2×D4—442no—
525C2×D4—442no—
526C2×D4—4416no—
527C22×C4—22no—
528C22×C4—22no—
529C22×C4—42no—
530C22×C4—42no—
531C22×C4—42no—
532C22×C4—114no—
533C22×C4—112no—
534C22×C4—112no—
535C22×C4—114no—
536C22×C4—114no—
537C22×C4—112no—
538C22×C4—112no—
539C22×C4—228no—
540C22×C4—228no—
541C22×C4—224no—
542C22×C4—444no—
543C22×C4—4416no—
544C22×C4—442no—
545C22×C4D4×D1114yes—
546C22×C4C23×D1114yes—
547C22×C4C23×D1112yes—
548C22×C4C23×D1112yes—
549C22×C4C23×D1112yes—
550C22×C4C23×D1112yes—
551C22×C4C23×D1111yescharacteristic
552C22×C4C23×D1111yescharacteristic
553C4⋊C4—24no—
554C4⋊C4—24no—
555C4⋊C4—22no—
556C4⋊C4—24no—
557C4⋊C4—44no—
558C4⋊C4—44no—
559C4⋊C4—118no—
560C4⋊C4—118no—
561C4⋊C4—224no—
562C4⋊C4—224no—
563C4⋊C4—224no—
564C4⋊C4—224no—
565C4⋊C4—224no—
566C4⋊C4—222no—
567C4⋊C4—224no—
568C4⋊C4—444no—
569C4⋊C4—444no—
570C4⋊C4—444no—
571C22⋊C4—24no—
572C22⋊C4—24no—
573C22⋊C4—228no—
574C22⋊C4—228no—
575C22⋊C4—228no—
576C22⋊C4—228no—
577C22⋊C4—228no—
578C22⋊C4—224no—
579C22⋊C4—224no—
580C22⋊C4—444no—
581C22⋊C4—444no—
582C22⋊C4—444no—
583C22⋊C4—444no—
584C22⋊C4—444no—
585C22⋊C4—444no—
586C42—42no—
587C42—224no—
588C42—224no—
589C42—442no—
590C11#3671111yescharacteristic, complemented, Sylow
591C23—22no—
592C23—22no—
593C23—114no—
594C23—228no—
595C23—222no—
596C23—224no—
597C23—224no—
598C23—222no—
599C23—222no—
600C23—224no—
601C23—224no—
602C23—222no—
603C23—222no—
604C23—4416no—
605C23—444no—
606C23—444no—
607C23—444no—
608C23—444no—
609C23—444no—
610C23—888no—
611C23C2×D4×D1112yes—
612C23#6704014yes—
613C23C24×D1111yescharacteristic
614Q8—82no—
615Q8—882no—
616Q8—884no—
617D4—448no—
618D4—448no—
619C2×C4—22no—
620C2×C4—22no—
621C2×C4—22no—
622C2×C4—22no—
623C2×C4—22no—
624C2×C4—22no—
625C2×C4—24no—
626C2×C4—24no—
627C2×C4—24no—
628C2×C4—22no—
629C2×C4—22no—
630C2×C4—24no—
631C2×C4—24no—
632C2×C4—24no—
633C2×C4—44no—
634C2×C4—44no—
635C2×C4—44no—
636C2×C4—114no—
637C2×C4—114no—
638C2×C4—228no—
639C2×C4—224no—
640C2×C4—224no—
641C2×C4—222no—
642C2×C4—222no—
643C2×C4—224no—
644C2×C4—224no—
645C2×C4—224no—
646C2×C4—224no—
647C2×C4—224no—
648C2×C4—4416no—
649C2×C4—444no—
650C2×C4C2×D4×D1112yes—
651C2×C4C2×D4×D1112yes—
652C22—22no—
653C22—22no—
654C22—28no—
655C22—224no—
656C22—228no—
657C22—4416no—
658C22—442no—
659C22—442no—
660C22—444no—
661C22—442no—
662C22—442no—
663C22—442no—
664C22—444no—
665C22—444no—
666C22—888no—
667C22#1062325514yes—
668C22C22×D4×D1111yescharacteristic
669C22C2×#6704012yes—
670C22#1062345312yes—
671C22D11×H(5,𝔽2)12yes—
672C4—22no—
673C4—22no—
674C4—42no—
675C4—42no—
676C4—42no—
677C4—42no—
678C4—44no—
679C4—224no—
680C4—224no—
681C4—442no—
682C4—442no—
683C4—444no—
684C2—24no—
685C2—444no—
686C2—882no—
687C2C2×#1062325511yescharacteristic
688C2#1308224811yescharacteristic
689C2#1308227011yescharacteristic
690C2#1308282014yes—
subgroupG/H
center, FrattiniC23C24×D11
commutator, socle, cosocleC23×C11C25
FittingC11×#2583C2
prime radicalC23×D44C22
hypercenter#2583D11
hypocenterC11#36711
LCSG ▷ C23×C11 ▷ C11
UCSC1 ◁ C23 ◁ #2583

Complements

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

NH ≅ G/Ntype
1. C2×#10623154C2semidirect
3. #13076902C2semidirect
4. #13075133C2semidirect
5. #13075129C2semidirect
6. #13074898C2semidirect
7. #13074890C2semidirect
8. #13074427C2semidirect
9. #13073996C2semidirect
10. #13072889C2semidirect
11. #13072889C2semidirect
14. #13071216C2semidirect
15. C11×#2583C2semidirect
21. C2×#66997C22semidirect
28. C2×#66949C22semidirect
32. C2×#66942C22semidirect
33. C2×#66942C22semidirect
34. C2×#66941C22semidirect
38. C11×#398C22semidirect
39. C11×#395C22semidirect
40. C11×#389C22semidirect
47. #10622607C22semidirect
48. #10622605C22semidirect
49. #10622605C22semidirect
50. #10622605C22semidirect
52. #10622603C22semidirect
53. #10622603C22semidirect
54. #10622602C22semidirect
56. #10622596C22semidirect
57. #10622592C22semidirect
58. #10622585C22semidirect
66. #10622546C22semidirect
67. #10622289C22semidirect
68. #10622288C22semidirect
69. #10622288C22semidirect
70. #10622286C22semidirect
72. #10622282C22semidirect
73. #10622282C22semidirect
74. #10622281C22semidirect
75. #10622280C22semidirect
76. #10622265C22semidirect
255. #2583D11semidirect
348. #398C2×D11semidirect
354. #395C2×D11semidirect
361. #389C2×D11semidirect
590. C11#36711semidirect

Maximal subgroups

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

subgroupindex
C2×#106231542
C22×#669472
#130769022
#130751332
#130751292
#130748982
#130748902
#130744272
#130739962
#130728892
#130722682
#130722672
#130712162
C11×#25832
#3671111