Finite Group Databasebeta

← #14914434

Subgroups — #14914434

Order 2816.

2314 conjugacy classes of subgroups.

The subgroup lattice has 680 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#10623088C211yesmaximal, characteristic
2#13071628C212yesmaximal
3#13071620C212yesmaximal, complemented
4#13071611C214yesmaximal, complemented
5#13071589C211yesmaximal, characteristic, complemented
6#13071583C211yesmaximal, characteristic, complemented
7#13071536C211yesmaximal, characteristic, complemented
8#13071503C212yesmaximal, complemented
9#13071472C212yesmaximal, complemented
10#13071392C214yesmaximal, complemented
11#13071251C212yesmaximal, complemented
12#13071175C212yesmaximal, complemented
13C4×#66989C212yesmaximal, complemented
14D11×#382C211yesmaximal, characteristic, complemented
15#13070974C212yesmaximal, complemented
16C4×#66945C211yesmaximal, characteristic, complemented
17C11×#2349C211yesmaximal, characteristic, complemented
18C2×C4×D4×C11C2212yes—
19C2×C4×D4×C11C2211yescharacteristic
20C2×#66991C2211yescharacteristic
21C2×#66989C2211yescharacteristic
22C2×C4×C22⋊D11C2214yes—
23C2×C4×C22⋊D11C2212yes—
24C2×#66979C2212yes—
25#10623088C4116yescomplemented
26C2×#66950C2211yescharacteristic
27C2×#66945C2212yes—
28C2×C4⋊C4×D11C2212yes—
29C2×#66943C2211yescharacteristic
30C2×#66936C2212yes—
31C2×#66932C2212yes—
32C2×C42×D11C2211yescharacteristic
33C2×C4×Dic22C2212yes—
34C2×C4×Dic22C2211yescharacteristic
35C11×#389C2212yes—
36C11×#385C2214yes—
37C11×#382C2211yescharacteristic
38C11×#380C2212yes—
39C4×C11×C4⋊C4C2211yescharacteristic
40C2×C11×#95C2212yes—
41#10622834C2212yes—
42#10622824C2212yes—
43#10622823C2214yes—
44C4×C22⋊Dic11C2214yes—
45C4×C22⋊Dic11C2214yes—
46C4×C22⋊Dic11C2212yes—
47#10622602C2214yes—
48#10622591C2214yes—
49#10622590C2212yes—
50C4⋊C4×Dic11C2212yes—
51C4⋊C4×Dic11C2212yes—
52C4⋊C4×Dic11C2212yes—
53C4⋊C4×Dic11C2214yes—
54#10622587C2212yes—
55#10622586C2214yes—
56#10622585C2214yes—
57#10622569C2214yes—
58#10622564C2214yes—
59#10622558C2214yes—
60#10622558C2214yes—
61#10622558C2214yes—
62C4×(C2×D11)⋊C4C2212yes—
63#10622549C2211yescharacteristic
64C4×C4⋊Dic11C2211yescharacteristic
65C42×Dic11C2212yes—
66#10622541C2212yes—
67#10622279C2214yes—
68#10622279C2211yescharacteristic
69#10622279C2211yescharacteristic
70D11×#95C2212yes—
71D11×#95C2212yes—
72#10622268C2214yes—
73#10622267C2214yes—
74#10622266C2214yes—
75#10622264C2212yes—
76#10622263C2212yes—
77#10622263C2212yes—
78#10622263C2212yes—
79#10622262C2214yes—
80#10622262C2212yes—
81#10622261C2211yescharacteristic
82#10622261C2211yescharacteristic
83#10622261C2212yes—
84C22×D4×C11C2311yescharacteristic
85C23×C4×C11C2314yes—
86C23×C4×C11C2312yes—
87C22×C22⋊D11C2312yes—
88C22×C4×D11C2311yescharacteristic
89C22×C4×D11C2311yescharacteristic
90C22×C4×D11C2314yes—
91C22×C4×D11C2311yescharacteristic
92C22×Dic22C2311yescharacteristic
93C4×D4×C11—44no—
94C4×D4×C11C2×C418yescomplemented
95C2×C11×C4⋊C4C2312yes—
96C2×C11×C4⋊C4C2312yes—
97C2×C11×C4⋊C4C2314yes—
98C2×C11×C4⋊C4C2311yescharacteristic
99C2×C11×C22⋊C4C2314yes—
100C2×C11×C22⋊C4C2312yes—
101C2×C42×C11C2312yes—
102C2×C42×C11C2311yescharacteristic
103C2×C22⋊Dic11C2314yes—
104C2×C22⋊Dic11C2314yes—
105C2×C22⋊Dic11C2312yes—
106C2×C22⋊Dic11C2312yes—
107C2×C22⋊Dic11C2312yes—
108#66991C2×C418yes—
109#66989C2×C418yescomplemented
110C4×C22⋊D11—216no—
111C4×C22⋊D11C2×C4116yescomplemented
112C2×(C2×D11)⋊C4C2312yes—
113C2×(C2×D11)⋊C4C2312yes—
114C2×(C2×D11)⋊C4C2312yes—
115#66979C2×C4116yescomplemented
116C2×C4⋊Dic11C2312yes—
117C2×C4⋊Dic11C2312yes—
118C2×C4⋊Dic11C2311yescharacteristic
119C2×C4⋊Dic11C2312yes—
120C2×C4⋊Dic11C2312yes—
121C2×Dic11⋊C4C2314yes—
122C2×Dic11⋊C4C2314yes—
123C2×Dic11⋊C4C2314yes—
124C2×Dic11⋊C4C2312yes—
125C2×Dic11⋊C4C2312yes—
126C2×C4×Dic11C2314yes—
127C2×C4×Dic11C2312yes—
128C2×C4×Dic11C2312yes—
129C2×C4×Dic11C2312yes—
130C2×C4×Dic11C2314yes—
131C2×C4×Dic11C2312yes—
132C2×C4×Dic11C2314yes—
133C2×C4×Dic11C2312yes—
134C2×C4×Dic11C2312yes—
135C2×C4×Dic11C2311yescharacteristic
136C2×C4×Dic11C2311yescharacteristic
137C2×C4×Dic11C2311yescharacteristic
138#66950C2×C418yescomplemented
139#66945—28no—
140C4⋊C4×D11—44no—
141#66943C2×C418yescomplemented
142#66936C2×C4116yescomplemented
143#66932C2×C4116yescomplemented
144C42×D11C2×C418yescomplemented
145C4×Dic22—44no—
146C4×Dic22C2×C418yescomplemented
147C11×#95C2311yescharacteristic
148C11×#95C2311yescharacteristic
149C11×#95C2312yes—
150C11×#95C2314yes—
151C11×#95C2312yes—
152C11⋊#95C2311yescharacteristic
153C11⋊#95C2311yescharacteristic
154C11⋊#95C2312yes—
155C11⋊#95C2314yes—
156C11⋊#95C2312yes—
157C11⋊#95C2312yes—
158C11⋊#95C2314yes—
159C11⋊#95C2314yes—
160C11⋊#95C2312yes—
161C11⋊#95C2314yes—
162C11⋊#95C2314yes—
163C11⋊#95C2314yes—
164C11⋊#95C2314yes—
165#34229—111nomaximal, Sylow
166C24×C11C2412yes—
167C23×D11C2411yescharacteristic
168C2×D4×C11—22no—
169C2×D4×C11—22no—
170C2×D4×C11C22×C414yes—
171C22×C4×C11—28no—
172C22×C4×C11—44no—
173C22×C4×C11—44no—
174C22×C4×C11—44no—
175C22×C4×C11C22×C418yes—
176C22×C4×C11C2414yes—
177C22×C4×C11C2412yes—
178C22×C4×C11C2411yescharacteristic
179C22×C4×C11C2412yes—
180C22×C4×C11C2411yescharacteristic
181C22×C4×C11C2412yes—
182C22×C4×C11C2411yescharacteristic
183C2×C22⋊D11—28no—
184C2×C22⋊D11C22×C418yes—
185C22×Dic11C2412yes—
186C22×Dic11C2414yes—
187C22×Dic11C2411yescharacteristic
188C22×Dic11C2411yescharacteristic
189C22×Dic11C2412yes—
190C22×Dic11C2412yes—
191C22×Dic11C2411yescharacteristic
192C22×Dic11C2412yes—
193C2×C4×D11—24no—
194C2×C4×D11—28no—
195C2×C4×D11—22no—
196C2×C4×D11—22no—
197C2×C4×D11—42no—
198C2×C4×D11—44no—
199C2×C4×D11—44no—
200C2×C4×D11C22×C414yes—
201C2×C4×D11C22×C414yes—
202C2×C4×D11C22×C414yes—
203C2×Dic22—22no—
204C2×Dic22—22no—
205C2×Dic22C22×C414yes—
206C11×C4⋊C4—24no—
207C11×C4⋊C4—24no—
208C11×C4⋊C4—44no—
209C11×C4⋊C4C22×C414yes—
210C11×C22⋊C4—44no—
211C11×C22⋊C4C22×C418yes—
212C42×C11—24no—
213C42×C11C22×C414yes—
214C22⋊Dic11—28no—
215C22⋊Dic11—44no—
216C22⋊Dic11C22×C418yes—
217C22⋊Dic11C22×C418yes—
218C22⋊Dic11C22×C418yes—
219(C2×D11)⋊C4—24no—
220(C2×D11)⋊C4C22×C418yes—
221(C2×D11)⋊C4#4118yes—
222C4⋊Dic11—24no—
223C4⋊Dic11—24no—
224C4⋊Dic11C22×C414yes—
225C4⋊Dic11C22×C418yes—
226C4⋊Dic11C22×C418yes—
227Dic11⋊C4—28no—
228Dic11⋊C4—44no—
229Dic11⋊C4—44no—
230Dic11⋊C4C22×C418yes—
231Dic11⋊C4C22×C418yes—
232C4×Dic11—24no—
233C4×Dic11—28no—
234C4×Dic11—24no—
235C4×Dic11—24no—
236C4×Dic11—44no—
237C4×Dic11—44no—
238C4×Dic11—42no—
239C4×Dic11—42no—
240C4×Dic11C22×C418yes—
241C4×Dic11C22×C414yes—
242C4×Dic11C22×C414yes—
243C4×Dic11C22×C414yes—
244C2×#529—111no—
245#2361—112no—
246#2360—112no—
247#2359—114no—
248#2357—111no—
249#2356—111no—
250#2351—111no—
251#2349D1111yescharacteristic, complemented
252#2346—112no—
253#2343—112no—
254#2334—114no—
255#2318—112no—
256C4×#125—112no—
257C4×#124—112no—
258C2×#382—111no—
259#2275—112no—
260C4×#117—111no—
261C23×C11—24no—
262C23×C11—22no—
263C23×C11—22no—
264C23×C11—24no—
265C23×C11C23×C414yes—
266C23×C11C2511yescharacteristic
267C22×D11—21no—
268C22×D11—21no—
269C22×D11—22no—
270C22×D11C23×C412yes—
271C22×D11C2×#4114yes—
272D4×C11—28no—
273C2×C4×C11—22no—
274C2×C4×C11—22no—
275C2×C4×C11—24no—
276C2×C4×C11—22no—
277C2×C4×C11—22no—
278C2×C4×C11—22no—
279C2×C4×C11—24no—
280C2×C4×C11—22no—
281C2×C4×C11—24no—
282C2×C4×C11—22no—
283C2×C4×C11—24no—
284C2×C4×C11—48no—
285C2×C4×C11—88no—
286C2×C4×C11C23×C412yes—
287C2×C4×C11C23×C412yes—
288C2×C4×C11C23×C414yes—
289C2×C4×C11C23×C412yes—
290C2×C4×C11C2×#4114yes—
291C2×C4×C11H(5,𝔽2)12yes—
292C2×C4×C112−1+412yes—
293C22⋊D11—216no—
294C2×Dic11—22no—
295C2×Dic11—24no—
296C2×Dic11—22no—
297C2×Dic11—21no—
298C2×Dic11—22no—
299C2×Dic11—22no—
300C2×Dic11—21no—
301C2×Dic11—22no—
302C2×Dic11—22no—
303C2×Dic11—22no—
304C2×Dic11—24no—
305C2×Dic11—24no—
306C2×Dic11—22no—
307C2×Dic11—22no—
308C2×Dic11—24no—
309C2×Dic11C23×C412yes—
310C2×Dic11C23×C412yes—
311C2×Dic11C23×C412yes—
312C2×Dic11C23×C414yes—
313C2×Dic11C23×C414yes—
314C2×Dic11C2×#4114yes—
315C4×D11—28no—
316C4×D11—28no—
317C4×D11—44no—
318C4×D11—88no—
319Dic22—28no—
320#529—1116no—
321C2×#126—112no—
322C2×#125—111no—
323C2×#124—111no—
324C2×#123—112no—
325C2×C22⋊Q8—111no—
326C2×#121—111no—
327C2×C4×Q8—111no—
328C2×C4×Q8—112no—
329C2×C4×D4—112no—
330C2×C4×D4—114no—
331C2×C4×D4C2×D1112yes—
332C2×C4×D4C2×D1111yescharacteristic
333C2×#117—112no—
334C2×#117—112no—
335C22×C4⋊C4—112no—
336C22×C42—111no—
337#391—112no—
338#390—112no—
339#389—114no—
340#389—114no—
341#389—112no—
342#389C2×D1112yes—
343#388—114no—
344#388—114no—
345#388—114no—
346#388—114no—
347#387—114no—
348#387—114no—
349#387—114no—
350#387—114no—
351#386—114no—
352#385—114no—
353#385—114no—
354#385C2×D1114yes—
355#383—112no—
356#382—112no—
357#382—111no—
358#382—112no—
359#382—112no—
360#382—112no—
361#382C2×D1111yescharacteristic
362#381—112no—
363#380C2×D1112yes—
364C4×C4⋊C4—114no—
365C4×C4⋊C4—112no—
366C4×C4⋊C4—112no—
367C4×C4⋊C4—112no—
368C4×C4⋊C4—111no—
369C4×C4⋊C4—114no—
370C4×C4⋊C4—112no—
371C4×C4⋊C4C2×D1111yescharacteristic
372C4×C22⋊C4—114no—
373C4×C22⋊C4—114no—
374C4×C22⋊C4—112no—
375C4×C22⋊C4—112no—
376C4×C22⋊C4—111no—
377C4×C22⋊C4—114no—
378C4×C22⋊C4—111no—
379#376—111no—
380#376—111no—
381#376—112no—
382C2×#95—112no—
383C2×#95—112no—
384C2×#95C2×D1112yes—
385C43—112no—
386C22×C11—24no—
387C22×C11—24no—
388C22×C11—24no—
389C22×C11—44no—
390C22×C11—44no—
391C22×C11C24×C411yescharacteristic
392C22×C11C22×#4112yes—
393C22×C11C2×H(5,𝔽2)11yescharacteristic
394C22×C11C2×2−1+411yescharacteristic
395C22×C11#58512yes—
396C2×D11—22no—
397C2×D11—22no—
398C2×D11—24no—
399C2×D11—24no—
400C2×D11C4×#4114yes—
401C4×C11—22no—
402C4×C11—22no—
403C4×C11—24no—
404C4×C11—24no—
405C4×C11—42no—
406C4×C11—44no—
407C4×C11#52014yes—
408Dic11—22no—
409Dic11—24no—
410Dic11—24no—
411Dic11—22no—
412Dic11—22no—
413Dic11—24no—
414Dic11—44no—
415Dic11—42no—
416C22×Q8—111no—
417C22×D4—112no—
418C22×D4C22×D1111yescharacteristic
419C23×C4—111no—
420C23×C4—111no—
421C23×C4—111no—
422C23×C4—114no—
423C23×C4C22×D1114yes—
424C23×C4C22×D1112yes—
425#126—1116no—
426#125—118no—
427#124—118no—
428#123—1116no—
429C22⋊Q8—118no—
430#121—118no—
431C4×Q8—118no—
432C4×Q8—444no—
433C4×D4—44no—
434C4×D4—1116no—
435C4×D4—2216no—
436C4×D4C4×D1118yescomplemented
437#117—1116no—
438#117—228no—
439C2×C4⋊C4—112no—
440C2×C4⋊C4—112no—
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—444no—
450C2×C4⋊C4C22×D1112yes—
451C2×C4⋊C4C22×D1112yes—
452C2×C4⋊C4C22×D1114yes—
453C2×C4⋊C4C22×D1111yescharacteristic
454C2×C22⋊C4—112no—
455C2×C22⋊C4—112no—
456C2×C22⋊C4—112no—
457C2×C22⋊C4—112no—
458C2×C22⋊C4—112no—
459C2×C22⋊C4—114no—
460C2×C22⋊C4—112no—
461C2×C22⋊C4—114no—
462C2×C22⋊C4C22×D1114yes—
463C2×C22⋊C4C22×D1112yes—
464C2×C42—111no—
465C2×C42—112no—
466C2×C42—111no—
467C2×C42—111no—
468C2×C42—118no—
469C2×C42—112no—
470C2×C42—112no—
471C2×C42—114no—
472C2×C42—112no—
473C2×C42—114no—
474C2×C42—112no—
475C2×C42—112no—
476C2×C42—114no—
477C2×C42C22×D1112yes—
478C2×C42C22×D1111yescharacteristic
479#95—112no—
480#95—114no—
481#95—114no—
482#95—112no—
483#95—111no—
484#95—114no—
485#95—111no—
486#95—112no—
487#95—112no—
488#95—114no—
489#95—114no—
490#95—114no—
491#95—114no—
492#95C22×D1112yes—
493#95C22×D1112yes—
494#95C22×D1111yescharacteristic
495#95C22×D1114yes—
496#95C22×D1111yescharacteristic
497C2×C11—44no—
498C2×C11C2×C4×#4111yescharacteristic
499C2×C11C2×#52011yescharacteristic
500C2×C11#342811yescharacteristic
501C2×C11#351412yes—
502C2×C11#351512yes—
503D11—24no—
504C24—111no—
505C24C23×D1112yes—
506C2×Q8—114no—
507C2×Q8—222no—
508C2×Q8—222no—
509C2×D4—22no—
510C2×D4—22no—
511C2×D4—118no—
512C2×D4—228no—
513C2×D4C2×C4×D1114yes—
514C22×C4—28no—
515C22×C4—44no—
516C22×C4—44no—
517C22×C4—44no—
518C22×C4—112no—
519C22×C4—111no—
520C22×C4—111no—
521C22×C4—112no—
522C22×C4—112no—
523C22×C4—111no—
524C22×C4—114no—
525C22×C4—114no—
526C22×C4—114no—
527C22×C4—112no—
528C22×C4—114no—
529C22×C4—224no—
530C22×C4—228no—
531C22×C4—222no—
532C22×C4—222no—
533C22×C4—442no—
534C22×C4—444no—
535C22×C4—444no—
536C22×C4C2×C4×D1118yes—
537C22×C4C23×D1114yes—
538C22×C4C23×D1112yes—
539C22×C4C23×D1111yescharacteristic
540C22×C4C23×D1112yes—
541C22×C4C23×D1111yescharacteristic
542C22×C4C23×D1112yes—
543C22×C4C23×D1111yescharacteristic
544C4⋊C4—24no—
545C4⋊C4—24no—
546C4⋊C4—44no—
547C4⋊C4—118no—
548C4⋊C4—118no—
549C4⋊C4—118no—
550C4⋊C4—114no—
551C4⋊C4—118no—
552C4⋊C4—224no—
553C4⋊C4—224no—
554C4⋊C4—228no—
555C4⋊C4—444no—
556C4⋊C4—444no—
557C4⋊C4C2×C4×D1114yes—
558C22⋊C4—44no—
559C22⋊C4—118no—
560C22⋊C4—118no—
561C22⋊C4—118no—
562C22⋊C4—118no—
563C22⋊C4—118no—
564C22⋊C4—224no—
565C22⋊C4—228no—
566C22⋊C4—444no—
567C22⋊C4C2×C4×D1118yes—
568C42—24no—
569C42—114no—
570C42—114no—
571C42—114no—
572C42—118no—
573C42—224no—
574C42—228no—
575C42—224no—
576C42—224no—
577C42—444no—
578C42—444no—
579C42—442no—
580C42—442no—
581C42C2×C4×D1114yes—
582C11#3422911yescharacteristic, complemented, Sylow
583C23—22no—
584C23—22no—
585C23—24no—
586C23—24no—
587C23—112no—
588C23—114no—
589C23—221no—
590C23—221no—
591C23—222no—
592C23C22×C4×D1114yes—
593C23C24×D1111yescharacteristic
594Q8—228no—
595D4—28no—
596D4—2216no—
597C2×C4—22no—
598C2×C4—22no—
599C2×C4—24no—
600C2×C4—22no—
601C2×C4—22no—
602C2×C4—22no—
603C2×C4—24no—
604C2×C4—22no—
605C2×C4—24no—
606C2×C4—22no—
607C2×C4—24no—
608C2×C4—48no—
609C2×C4—88no—
610C2×C4—112no—
611C2×C4—112no—
612C2×C4—112no—
613C2×C4—114no—
614C2×C4—114no—
615C2×C4—114no—
616C2×C4—228no—
617C2×C4—222no—
618C2×C4—221no—
619C2×C4—222no—
620C2×C4—221no—
621C2×C4—222no—
622C2×C4—222no—
623C2×C4—224no—
624C2×C4—222no—
625C2×C4—222no—
626C2×C4—228no—
627C2×C4—224no—
628C2×C4—222no—
629C2×C4—222no—
630C2×C4—224no—
631C2×C4—222no—
632C2×C4—224no—
633C2×C4—444no—
634C2×C4—888no—
635C2×C4C22×C4×D1112yes—
636C2×C4C22×C4×D1112yes—
637C2×C4C22×C4×D1114yes—
638C2×C4C22×C4×D1112yes—
639C2×C4#6703712yes—
640C2×C4#6704012yes—
641C2×C4#41×D1114yes—
642C22—24no—
643C22—24no—
644C22—24no—
645C22—44no—
646C22—44no—
647C22—114no—
648C22—224no—
649C22—222no—
650C22—222no—
651C22—224no—
652C22C23×C4×D1111yescharacteristic
653C22C2×#6703711yescharacteristic
654C22C2×#6704011yescharacteristic
655C22C2×#41×D1112yes—
656C22#1062345512yes—
657C4—22no—
658C4—24no—
659C4—22no—
660C4—24no—
661C4—44no—
662C4—42no—
663C4—222no—
664C4—224no—
665C4—222no—
666C4—224no—
667C4—222no—
668C4—224no—
669C4—444no—
670C4—442no—
671C4#1062303514yes—
672C2—44no—
673C2—224no—
674C2C4×#41×D1111yescharacteristic
675C2C2×#1062303511yescharacteristic
676C2#1308181411yescharacteristic
677C2#1308257412yes—
678C2#1308259712yes—
subgroupG/H
center, FrattiniC23C24×D11
commutatorC22×C11C24×C4
FittingC11×#2349C2
socle, cosocleC23×C11C25
prime radicalC2×#66991C22
hypercenter#2349D11
hypocenterC11#34229
LCSG ▷ C22×C11 ▷ C11
UCSC1 ◁ C23 ◁ #2349

Complements

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

NH ≅ G/Ntype
3. #13071620C2semidirect
4. #13071611C2semidirect
5. #13071589C2semidirect
6. #13071583C2semidirect
7. #13071536C2semidirect
8. #13071503C2semidirect
9. #13071472C2semidirect
10. #13071392C2semidirect
11. #13071251C2semidirect
12. #13071175C2semidirect
13. C4×#66989C2semidirect
14. D11×#382C2semidirect
15. #13070974C2semidirect
16. C4×#66945C2semidirect
17. C11×#2349C2semidirect
25. #10623088C4semidirect
94. C4×D4×C11C2×C4semidirect
109. #66989C2×C4semidirect
111. C4×C22⋊D11C2×C4semidirect
115. #66979C2×C4semidirect
138. #66950C2×C4semidirect
141. #66943C2×C4semidirect
142. #66936C2×C4semidirect
143. #66932C2×C4semidirect
144. C42×D11C2×C4semidirect
146. C4×Dic22C2×C4semidirect
251. #2349D11semidirect
436. C4×D4C4×D11semidirect
582. C11#34229semidirect

Maximal subgroups

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

subgroupindex
C2×#106230882
#130716282
#130716202
#130716112
#130715892
#130715832
#130715362
#130715032
#130714722
#130713922
#130712512
#130711752
C4×#669892
D11×#3822
#130709742
C4×#669452
C11×#23492
#3422911