Finite Group Databasebeta

← #14913542

Subgroups — #14913542

Order 2816.

2290 conjugacy classes of subgroups.

The subgroup lattice has 684 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#10623259C211yesmaximal, characteristic
2#13071720C214yesmaximal, complemented
3#13071676C211yesmaximal, characteristic, complemented
4#13071674C211yesmaximal, characteristic, complemented
5#13071672C211yesmaximal, characteristic, complemented
6#13071648C212yesmaximal
7#13071645C212yesmaximal
8#13071642C212yesmaximal
9#13071639C212yesmaximal
10#13071108C214yesmaximal
11#13071091C212yesmaximal, complemented
12#13071087C212yesmaximal, complemented
13C4×Q8×Dic11C212yesmaximal, complemented
14C4×#66940C212yesmaximal, complemented
15C4×#66945C211yesmaximal, characteristic
16C4×#66945C211yesmaximal, characteristic
17C11×#2365C211yesmaximal, characteristic, complemented
18C2×C11×C4⋊Q8C2211yescharacteristic
19C2×C4×Q8×C11C2212yes—
20C2×#66999C2212yes—
21C2×Q8×Dic11C2212yes—
22C2×Q8×Dic11C2212yes—
23#10623259C4116yescomplemented
24C2×#66950C2212yes—
25C2×#66945C2211yescharacteristic
26C2×#66945C2211yescharacteristic
27C2×#66945C2211yescharacteristic
28C2×#66945C2211yescharacteristic
29C2×#66945C2212yes—
30C2×#66943C2212yes—
31C2×#66940C2212yes—
32C2×#66940C2212yes—
33C2×C42×D11C2211yescharacteristic
34C2×#66922C2211yescharacteristic
35C2×C4×Dic22C2212yes—
36C11×#391C2212yes—
37C11×#389C2212yes—
38C11×#387C2214yes—
39C4×C11×C4⋊C4C2212yes—
40C4×C11×C4⋊C4C2211yescharacteristic
41C4×C11×C4⋊C4C2211yescharacteristic
42#10622843C2212yes—
43#10622603C2214yes—
44#10622598C2212yes—
45#10622594C2214yes—
46#10622591C2214yes—
47C4⋊C4×Dic11C2214yes—
48C4⋊C4×Dic11C2212yes—
49C4⋊C4×Dic11C2212yes—
50C4⋊C4×Dic11C2214yes—
51C4⋊C4×Dic11C2211yescharacteristic
52C4⋊C4×Dic11C2211yescharacteristic
53C4⋊C4×Dic11C2211yescharacteristic
54C4⋊C4×Dic11C2211yescharacteristic
55#10622587C2212yes—
56#10622586C2212yes—
57#10622553C2214yes—
58C4×(C2×D11)⋊C4C2212yes—
59C4×(C2×D11)⋊C4C2212yes—
60C4×C4⋊Dic11C2214yes—
61C4×C4⋊Dic11C2212yes—
62C4×C4⋊Dic11C2211yescharacteristic
63C4×C4⋊Dic11C2211yescharacteristic
64C4×Dic11⋊C4C2214yes—
65C42×Dic11C2214yes—
66C42×Dic11C2212yes—
67C42×Dic11C2212yes—
68#10622542C2212yes—
69#10622541C2212yes—
70#10622283C2214yes—
71#10622282C2214yes—
72#10622279C2212yes—
73#10622279C2212yes—
74#10622268C2214yes—
75#10622267C2214yes—
76#10622267C2214yes—
77#10622266C2214yes—
78#10622266C2214yes—
79#10622262C2214yes—
80#10622262C2214yes—
81#10622261C2214yes—
82#10622261C2212yes—
83#10622261C2212yes—
84C22×Q8×C11C2312yes—
85C22×C4×D11C2311yescharacteristic
86C22×C4×D11C2311yescharacteristic
87C22×C4×D11C2311yescharacteristic
88C22×Dic22C2312yes—
89C11×C4⋊Q8C2×C418yes—
90C4×Q8×C11—28no—
91C2×C11×C4⋊C4C2311yescharacteristic
92C2×C11×C4⋊C4C2311yescharacteristic
93C2×C11×C4⋊C4C2314yes—
94C2×C11×C4⋊C4C2312yes—
95C2×C11×C4⋊C4C2312yes—
96C2×C11×C4⋊C4C2311yescharacteristic
97C2×C11×C4⋊C4C2311yescharacteristic
98C2×C42×C11C2312yes—
99C2×C42×C11C2312yes—
100C2×C42×C11C2314yes—
101C2×C42×C11C2311yescharacteristic
102#66999C2×C4116yes—
103Q8×Dic11—28no—
104Q8×Dic11C2×C4116yes—
105C2×(C2×D11)⋊C4C2312yes—
106C2×(C2×D11)⋊C4C2312yes—
107C2×(C2×D11)⋊C4C2312yes—
108C2×(C2×D11)⋊C4C2312yes—
109C2×(C2×D11)⋊C4C2314yes—
110C2×C4⋊Dic11C2311yescharacteristic
111C2×C4⋊Dic11C2311yescharacteristic
112C2×C4⋊Dic11C2314yes—
113C2×C4⋊Dic11C2312yes—
114C2×C4⋊Dic11C2312yes—
115C2×C4⋊Dic11C2314yes—
116C2×C4⋊Dic11C2311yescharacteristic
117C2×C4⋊Dic11C2311yescharacteristic
118C2×Dic11⋊C4C2314yes—
119C2×Dic11⋊C4C2314yes—
120C2×Dic11⋊C4C2314yes—
121C2×C4×Dic11C2314yes—
122C2×C4×Dic11C2314yes—
123C2×C4×Dic11C2312yes—
124C2×C4×Dic11C2312yes—
125C2×C4×Dic11C2312yes—
126C2×C4×Dic11C2312yes—
127C2×C4×Dic11C2312yes—
128C2×C4×Dic11C2312yes—
129C2×C4×Dic11C2312yes—
130C2×C4×Dic11C2312yes—
131C2×C4×Dic11C2314yes—
132C2×C4×Dic11C2312yes—
133C2×C4×Dic11C2312yes—
134C2×C4×Dic11C2311yescharacteristic
135C2×C4×Dic11C2311yescharacteristic
136C2×C4×Dic11C2311yescharacteristic
137C2×C4×Dic11C2314yes—
138#66950C2×C4116yes—
139#66945—24no—
140#66945—24no—
141#66945—24no—
142#66945—24no—
143#66945C2×C4116yes—
144#66943C2×C4116yes—
145#66940—28no—
146#66940C2×C4116yes—
147C42×D11C2×C418yes—
148#66922C2×C418yes—
149C4×Dic22—28no—
150C11×#95C2312yes—
151C11×#95C2312yes—
152C11×#95C2314yes—
153C11×#95C2314yes—
154C11⋊#95C2312yes—
155C11⋊#95C2312yes—
156C11⋊#95C2312yes—
157C11⋊#95C2314yes—
158C11⋊#95C2314yes—
159C11⋊#95C2314yes—
160C11⋊#95C2312yes—
161C11⋊#95C2312yes—
162C11⋊#95C2312yes—
163C11⋊#95C2314yes—
164C11⋊#95C2314yes—
165C11⋊#95C2314yes—
166#34154—111nomaximal, Sylow
167C23×D11C2411yescharacteristic
168C2×Q8×C11—24no—
169C2×Q8×C11—24no—
170C2×Q8×C11C22×C418yes—
171C22×C4×C11C2412yes—
172C22×C4×C11C2412yes—
173C22×C4×C11C2411yescharacteristic
174C22×C4×C11C2414yes—
175C22×C4×C11C2412yes—
176C22×C4×C11C2412yes—
177C22×C4×C11C2411yescharacteristic
178C22×C4×C11C2411yescharacteristic
179C22×Dic11C2412yes—
180C22×Dic11C2412yes—
181C22×Dic11C2411yescharacteristic
182C22×Dic11C2411yescharacteristic
183C22×Dic11C2414yes—
184C22×Dic11C2412yes—
185C22×Dic11C2412yes—
186C22×Dic11C2411yescharacteristic
187C2×C4×D11—22no—
188C2×C4×D11—22no—
189C2×C4×D11—22no—
190C2×C4×D11—22no—
191C2×C4×D11—22no—
192C2×C4×D11—22no—
193C2×C4×D11C22×C414yes—
194C2×C4×D11C22×C414yes—
195C2×C4×D11C22×C414yes—
196C2×Dic22—24no—
197C2×Dic22—24no—
198C2×Dic22C22×C418yes—
199C11×C4⋊C4—22no—
200C11×C4⋊C4—22no—
201C11×C4⋊C4—28no—
202C11×C4⋊C4C22×C418yes—
203C11×C4⋊C4C22×C418yes—
204C11×C4⋊C4#4114yes—
205C11×C4⋊C4#4114yes—
206C42×C11—24no—
207C42×C11—28no—
208C42×C11—24no—
209C42×C11C22×C414yes—
210(C2×D11)⋊C4—24no—
211(C2×D11)⋊C4—24no—
212(C2×D11)⋊C4—24no—
213(C2×D11)⋊C4—24no—
214(C2×D11)⋊C4C22×C4116yes—
215C4⋊Dic11—28no—
216C4⋊Dic11—22no—
217C4⋊Dic11—22no—
218C4⋊Dic11C22×C418yes—
219C4⋊Dic11C22×C418yes—
220C4⋊Dic11C22×C4116yes—
221C4⋊Dic11#4114yes—
222C4⋊Dic11#4114yes—
223Dic11⋊C4—28no—
224Dic11⋊C4—28no—
225Dic11⋊C4C22×C4116yes—
226C4×Dic11—28no—
227C4×Dic11—24no—
228C4×Dic11—24no—
229C4×Dic11—28no—
230C4×Dic11—24no—
231C4×Dic11—24no—
232C4×Dic11—24no—
233C4×Dic11—24no—
234C4×Dic11—28no—
235C4×Dic11—24no—
236C4×Dic11—24no—
237C4×Dic11—24no—
238C4×Dic11—24no—
239C4×Dic11C22×C414yes—
240C4×Dic11C22×C414yes—
241C4×Dic11C22×C414yes—
242C4×Dic11C22×C4116yes—
243C2×#533—111no—
244#2371—114no—
245#2365—111no—
246#2365—111no—
247#2365—111no—
248#2365D1111yescharacteristic, complemented
249#2362—112no—
250#2362—112no—
251#2362—112no—
252#2362—112no—
253#2298—114no—
254#2295—112no—
255#2295—112no—
256C42×Q8—112no—
257C42×Q8—112no—
258C4×#117—111no—
259C4×#117—111no—
260C23×C11C2511yescharacteristic
261C22×D11—21no—
262C22×D11—21no—
263C22×D11—21no—
264C22×D11—21no—
265C22×D11—21no—
266C22×D11—21no—
267C22×D11C23×C412yes—
268Q8×C11—216no—
269C2×C4×C11—22no—
270C2×C4×C11—24no—
271C2×C4×C11—22no—
272C2×C4×C11—24no—
273C2×C4×C11—22no—
274C2×C4×C11—22no—
275C2×C4×C11—21no—
276C2×C4×C11—21no—
277C2×C4×C11—22no—
278C2×C4×C11—22no—
279C2×C4×C11—22no—
280C2×C4×C11—22no—
281C2×C4×C11—22no—
282C2×C4×C11—22no—
283C2×C4×C11C23×C418yes—
284C2×C4×C11C23×C412yes—
285C2×C4×C11C23×C412yes—
286C2×C4×C11C23×C412yes—
287C2×C4×C11C2×#4114yes—
288C2×C4×C11C2×#4112yes—
289C2×C4×C11C2×#4114yes—
290C2×C4×C11C2×#4112yes—
291C2×C4×C11C2×#4112yes—
292C2×C4×C11C2×#4112yes—
293C2×Dic11—22no—
294C2×Dic11—22no—
295C2×Dic11—21no—
296C2×Dic11—21no—
297C2×Dic11—21no—
298C2×Dic11—21no—
299C2×Dic11—24no—
300C2×Dic11—24no—
301C2×Dic11—22no—
302C2×Dic11—22no—
303C2×Dic11—22no—
304C2×Dic11—22no—
305C2×Dic11—22no—
306C2×Dic11—22no—
307C2×Dic11—22no—
308C2×Dic11—22no—
309C2×Dic11C23×C412yes—
310C2×Dic11C23×C412yes—
311C2×Dic11C23×C418yes—
312C2×Dic11C23×C412yes—
313C2×Dic11C2×#4114yes—
314C2×Dic11C2×#4114yes—
315C2×Dic112−1+412yes—
316C2×Dic112−1+412yes—
317C4×D11—28no—
318C4×D11—28no—
319C4×D11—28no—
320Dic22—216no—
321#533—1116no—
322C2×C4⋊Q8—111no—
323C2×C4⋊Q8C2×D1111yescharacteristic
324C2×#125—112no—
325C2×C22⋊Q8—112no—
326C2×C22⋊Q8—112no—
327C2×C4×Q8—112no—
328C2×C4×Q8—112no—
329C2×C4×Q8—112no—
330C2×C4×Q8—112no—
331C2×C4×Q8—112no—
332C2×C4×Q8C2×D1112yes—
333C2×#117—112no—
334C2×#117—111no—
335C2×#117—111no—
336C2×#117—111no—
337C2×#117—111no—
338C22×C42—111no—
339#391—112no—
340#391—112no—
341#391—112no—
342#391C2×D1112yes—
343#389—112no—
344#389—112no—
345#389—112no—
346#389C2×D1112yes—
347#388—114no—
348#388—114no—
349#388—114no—
350#388—114no—
351#387—114no—
352#387—114no—
353#387—114no—
354#387—114no—
355#387—114no—
356#387—114no—
357#387—114no—
358#387C2×D1114yes—
359C4×C4⋊C4—112no—
360C4×C4⋊C4—112no—
361C4×C4⋊C4—114no—
362C4×C4⋊C4—111no—
363C4×C4⋊C4—111no—
364C4×C4⋊C4—111no—
365C4×C4⋊C4—111no—
366C4×C4⋊C4—114no—
367C4×C4⋊C4—112no—
368C4×C4⋊C4—114no—
369C4×C4⋊C4—114no—
370C4×C4⋊C4—111no—
371C4×C4⋊C4—111no—
372C4×C4⋊C4—114no—
373C4×C4⋊C4—114no—
374C4×C4⋊C4C2×D1112yes—
375C4×C4⋊C4C2×D1111yescharacteristic
376C4×C4⋊C4C2×D1111yescharacteristic
377C4×C22⋊C4—112no—
378C4×C22⋊C4—112no—
379C4×C22⋊C4—112no—
380C4×C22⋊C4—112no—
381#376—112no—
382#376—112no—
383#376—114no—
384C43—112no—
385C43—112no—
386C43—114no—
387C22×C11C24×C411yescharacteristic
388C22×C11C22×#4111yescharacteristic
389C22×C11C22×#4111yescharacteristic
390C22×C11C22×#4111yescharacteristic
391C22×C11C22×#4111yescharacteristic
392C22×C11C2×2−1+411yescharacteristic
393C22×C11C2×2−1+411yescharacteristic
394C2×D11—22no—
395C2×D11—22no—
396C2×D11—22no—
397C2×D11—41no—
398C2×D11—41no—
399C2×D11—41no—
400C2×D11—41no—
401C4×C11—28no—
402C4×C11—22no—
403C4×C11—24no—
404C4×C11—24no—
405C4×C11—42no—
406C4×C11—42no—
407C4×C11C4×#4114yes—
408C4×C11C4×#4114yes—
409Dic11—28no—
410Dic11—22no—
411Dic11—22no—
412Dic11—24no—
413Dic11—24no—
414Dic11—42no—
415Dic11—42no—
416Dic11#51914yes—
417C22×Q8—112no—
418C22×Q8C22×D1112yes—
419C23×C4—111no—
420C23×C4—111no—
421C23×C4—111no—
422C4⋊Q8—118no—
423C4⋊Q8C4×D1118yes—
424#125—1116no—
425C22⋊Q8—1116no—
426C22⋊Q8—1116no—
427C4×Q8—28no—
428C4×Q8—1116no—
429C4×Q8—1116no—
430C4×Q8—228no—
431C4×Q8—228no—
432C4×Q8—228no—
433#117—1116no—
434#117—224no—
435#117—224no—
436#117—224no—
437#117—224no—
438C2×C4⋊C4—111no—
439C2×C4⋊C4—111no—
440C2×C4⋊C4—112no—
441C2×C4⋊C4—114no—
442C2×C4⋊C4—114no—
443C2×C4⋊C4—112no—
444C2×C4⋊C4—111no—
445C2×C4⋊C4—111no—
446C2×C4⋊C4—114no—
447C2×C4⋊C4—114no—
448C2×C4⋊C4—114no—
449C2×C4⋊C4C22×D1111yescharacteristic
450C2×C4⋊C4C22×D1111yescharacteristic
451C2×C4⋊C4C22×D1114yes—
452C2×C4⋊C4C22×D1112yes—
453C2×C4⋊C4C22×D1112yes—
454C2×C4⋊C4C22×D1111yescharacteristic
455C2×C4⋊C4C22×D1111yescharacteristic
456C2×C22⋊C4—114no—
457C2×C22⋊C4—112no—
458C2×C22⋊C4—112no—
459C2×C22⋊C4—112no—
460C2×C22⋊C4—112no—
461C2×C42—114no—
462C2×C42—111no—
463C2×C42—111no—
464C2×C42—111no—
465C2×C42—118no—
466C2×C42—112no—
467C2×C42—112no—
468C2×C42—112no—
469C2×C42—112no—
470C2×C42—112no—
471C2×C42—112no—
472C2×C42—114no—
473C2×C42—114no—
474C2×C42—114no—
475C2×C42—112no—
476C2×C42—112no—
477C2×C42—112no—
478C2×C42—112no—
479C2×C42C22×D1112yes—
480C2×C42C22×D1112yes—
481C2×C42C22×D1114yes—
482C2×C42C22×D1111yescharacteristic
483#95—112no—
484#95—112no—
485#95—112no—
486#95—112no—
487#95—112no—
488#95—112no—
489#95—114no—
490#95—114no—
491#95—114no—
492#95—114no—
493#95—114no—
494#95—114no—
495#95C22×D1112yes—
496#95C22×D1112yes—
497#95C22×D1114yes—
498#95C22×D1114yes—
499C2×C11C2×C4×#4111yescharacteristic
500C2×C11C2×C4×#4111yescharacteristic
501C2×C11C2×#51911yescharacteristic
502C2×C11#348211yescharacteristic
503C2×C11#348211yescharacteristic
504C2×C11#348211yescharacteristic
505C2×C11#348211yescharacteristic
506D11—42no—
507C24—111no—
508C2×Q8—24no—
509C2×Q8—24no—
510C2×Q8—118no—
511C2×Q8—224no—
512C2×Q8—224no—
513C2×Q8C2×C4×D1118yes—
514C22×C4—111no—
515C22×C4—112no—
516C22×C4—112no—
517C22×C4—111no—
518C22×C4—111no—
519C22×C4—114no—
520C22×C4—114no—
521C22×C4—114no—
522C22×C4—114no—
523C22×C4—112no—
524C22×C4—112no—
525C22×C4—222no—
526C22×C4—222no—
527C22×C4—222no—
528C22×C4—222no—
529C22×C4—222no—
530C22×C4—222no—
531C22×C4C23×D1112yes—
532C22×C4C23×D1112yes—
533C22×C4C23×D1111yescharacteristic
534C22×C4C23×D1114yes—
535C22×C4C23×D1112yes—
536C22×C4C23×D1112yes—
537C22×C4C23×D1111yescharacteristic
538C22×C4C23×D1111yescharacteristic
539C4⋊C4—28no—
540C4⋊C4—22no—
541C4⋊C4—22no—
542C4⋊C4—118no—
543C4⋊C4—1116no—
544C4⋊C4—1116no—
545C4⋊C4—118no—
546C4⋊C4—114no—
547C4⋊C4—114no—
548C4⋊C4—228no—
549C4⋊C4—228no—
550C4⋊C4—222no—
551C4⋊C4—222no—
552C4⋊C4—228no—
553C4⋊C4C2×C4×D1118yes—
554C4⋊C4C2×C4×D1118yes—
555C4⋊C4#434114yes—
556C4⋊C4#434314yes—
557C22⋊C4—1116no—
558C22⋊C4—224no—
559C22⋊C4—224no—
560C22⋊C4—224no—
561C22⋊C4—224no—
562C42—28no—
563C42—24no—
564C42—24no—
565C42—114no—
566C42—114no—
567C42—114no—
568C42—1116no—
569C42—224no—
570C42—224no—
571C42—228no—
572C42—228no—
573C42—224no—
574C42—224no—
575C42—224no—
576C42—224no—
577C42—224no—
578C42—224no—
579C42—228no—
580C42—224no—
581C42—224no—
582C42C2×C4×D1114yes—
583C11#3415411yescharacteristic, complemented, Sylow
584C23—112no—
585C23—221no—
586C23—221no—
587C23—221no—
588C23—221no—
589C23—221no—
590C23—221no—
591C23C24×D1111yescharacteristic
592Q8—216no—
593Q8—2216no—
594C2×C4—22no—
595C2×C4—24no—
596C2×C4—22no—
597C2×C4—24no—
598C2×C4—22no—
599C2×C4—22no—
600C2×C4—21no—
601C2×C4—21no—
602C2×C4—22no—
603C2×C4—22no—
604C2×C4—22no—
605C2×C4—22no—
606C2×C4—22no—
607C2×C4—22no—
608C2×C4—112no—
609C2×C4—112no—
610C2×C4—112no—
611C2×C4—112no—
612C2×C4—112no—
613C2×C4—118no—
614C2×C4—114no—
615C2×C4—114no—
616C2×C4—228no—
617C2×C4—221no—
618C2×C4—222no—
619C2×C4—221no—
620C2×C4—224no—
621C2×C4—222no—
622C2×C4—221no—
623C2×C4—221no—
624C2×C4—224no—
625C2×C4—222no—
626C2×C4—222no—
627C2×C4—228no—
628C2×C4—228no—
629C2×C4—222no—
630C2×C4—222no—
631C2×C4—222no—
632C2×C4—222no—
633C2×C4—222no—
634C2×C4—222no—
635C2×C4C22×C4×D1112yes—
636C2×C4C22×C4×D1118yes—
637C2×C4C22×C4×D1112yes—
638C2×C4C22×C4×D1112yes—
639C2×C4C2×#434114yes—
640C2×C4C2×#434112yes—
641C2×C4C2×#434314yes—
642C2×C4C2×#434312yes—
643C2×C4#41×D1112yes—
644C2×C4#41×D1112yes—
645C22—222no—
646C22—222no—
647C22—222no—
648C22—441no—
649C22—441no—
650C22—441no—
651C22—441no—
652C22C23×C4×D1111yescharacteristic
653C22C22×#434111yescharacteristic
654C22C22×#434311yescharacteristic
655C22C2×#41×D1111yescharacteristic
656C22C2×#41×D1111yescharacteristic
657C22D11×2−1+411yescharacteristic
658C22D11×2−1+411yescharacteristic
659C4—24no—
660C4—24no—
661C4—28no—
662C4—22no—
663C4—42no—
664C4—42no—
665C4—114no—
666C4—224no—
667C4—224no—
668C4—222no—
669C4—222no—
670C4—228no—
671C4—442no—
672C4—442no—
673C4C4×#434114yes—
674C4C4×#434314yes—
675C2—442no—
676C2C2×C4×#434111yescharacteristic
677C2C2×C4×#434311yescharacteristic
678C2D11×#51911yescharacteristic
679C2#1308222811yescharacteristic
680C2#1308223511yescharacteristic
681C2#1308223611yescharacteristic
682C2#1308223711yescharacteristic
subgroupG/H
center, FrattiniC23C24×D11
commutatorC22×C11C24×C4
FittingC11×#2365C2
socle, cosocleC23×C11C25
prime radicalC23×D11C24
hypercenter#2365D11
hypocenterC11#34154
LCSG ▷ C22×C11 ▷ C11
UCSC1 ◁ C23 ◁ #2365

Complements

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

NH ≅ G/Ntype
2. #13071720C2semidirect
3. #13071676C2semidirect
4. #13071674C2semidirect
5. #13071672C2semidirect
11. #13071091C2semidirect
12. #13071087C2semidirect
13. C4×Q8×Dic11C2semidirect
14. C4×#66940C2semidirect
17. C11×#2365C2semidirect
23. #10623259C4semidirect
248. #2365D11semidirect
583. C11#34154semidirect

Maximal subgroups

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

subgroupindex
C2×#106232592
#130717202
#130716762
#130716742
#130716722
#130716482
#130716452
#130716422
#130716392
#130711082
#130710912
#130710872
C4×Q8×Dic112
C4×#669402
C4×#669452
C11×#23652
#3415411