Finite Group Databasebeta

← C11×#18049 #14595242

Subgroups — C11×#18049 #14595242

Order 2816.

640 conjugacy classes of subgroups.

The subgroup lattice has 584 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C11×#2971C211yesmaximal, characteristic
2Q8×C11×M16C211yesmaximal, characteristic, complemented
3C4×C11×#137C211yesmaximal, characteristic
4C11×#1592C211yesmaximal, characteristic, complemented
5C11×#1590C211yesmaximal, characteristic, complemented
6C11×#1588C211yesmaximal, characteristic, complemented
7C11×#1587C211yesmaximal, characteristic, complemented
8C11×#1584C211yesmaximal, characteristic, complemented
9C11×#1583C211yesmaximal, characteristic, complemented
10C11×#1579C211yesmaximal, characteristic, complemented
11C8×C11×Q16C211yesmaximal, characteristic, complemented
12C11×#1569C211yesmaximal, characteristic, complemented
13C11×#1491C211yesmaximal, characteristic, complemented
14C11×#1489C211yesmaximal, characteristic
15C11×#1455C211yesmaximal, characteristic, complemented
16C2×C11×#137C411yescharacteristic
17C4×C11×#41C2211yescharacteristic
18C2×C4×Q8×C11C2211yescharacteristic
19C11×#446—21no—
20C11×#446—21no—
21C11×#446C2211yescharacteristic
22C11×#446C2211yescharacteristic
23C8×Q8×C11C2211yescharacteristic
24C8×Q8×C11C2211yescharacteristic
25C8×Q8×C11C2211yescharacteristic
26C8×Q8×C11C2211yescharacteristic
27C11×#441C411yescharacteristic
28C11×#441C411yescharacteristic
29C11×#440C411yescharacteristic
30C11×#440C411yescharacteristic
31C4×C11×Q16C2211yescharacteristic
32C4×C11×Q16C2211yescharacteristic
33C4×C11×SD16C2211yescharacteristic
34C4×C11×SD16C2211yescharacteristic
35C11×#436—21no—
36C11×#436—21no—
37C11×#436C2211yescharacteristic
38C11×#436C2211yescharacteristic
39C11×#432—21no—
40C11×#432C2211yescharacteristic
41C11×#428C411yescharacteristic
42C11×#423—21no—
43C11×#423C2211yescharacteristic
44C11×#419C411yescharacteristic
45C11×#417C411yescharacteristic
46C4×C11×M16—21no—
47C4×C11×M16—21no—
48C4×C11×M16C2211yescharacteristic
49C4×C11×M16C2211yescharacteristic
50C4×C11×M16C2211yescharacteristic
51C11×#335C2211yescharacteristic
52C11×#335C2211yescharacteristic
53C11×#334C2211yescharacteristic
54C11×#334C2211yescharacteristic
55C11×Q8⋊C8C2211yescharacteristic
56C11×Q8⋊C8C2211yescharacteristic
57C11×Q8⋊C8C2211yescharacteristic
58C11×Q8⋊C8C2211yescharacteristic
59C11×Q8⋊C8C2211yescharacteristic
60C11×Q8⋊C8C2211yescharacteristic
61C11×D4⋊C8C2211yescharacteristic
62C11×D4⋊C8C2211yescharacteristic
63C11×#322C2211yescharacteristic
64C11×#322C2211yescharacteristic
65C11×#322C2211yescharacteristic
66C82×C11C2211yescharacteristic
67C2×C11×#41C2×C411yescharacteristic
68C22×Q8×C11C2×C411yescharacteristic
69C11×#137—24no—
70C2×C11×Q16C2×C411yescharacteristic
71C2×C11×Q16C2×C411yescharacteristic
72C2×C11×SD16C2×C411yescharacteristic
73C2×C11×SD16C2×C411yescharacteristic
74C2×C11×M16—21no—
75C2×C11×M16—21no—
76C2×C11×M16—21no—
77C2×C11×M16—21no—
78C2×C11×M16C2×C411yescharacteristic
79C2×C11×M16C2×C411yescharacteristic
80C2×C11×M16D411yescharacteristic
81C2×C11×M16D411yescharacteristic
82C4×Q8×C11—21no—
83C4×Q8×C11—21no—
84C4×Q8×C11C2×C411yescharacteristic
85C4×Q8×C11C2×C411yescharacteristic
86C4×Q8×C11C2×C411yescharacteristic
87C4×Q8×C11C2311yescharacteristic
88C4×Q8×C11C2311yescharacteristic
89C4×Q8×C11C2311yescharacteristic
90C4×D4×C11—21no—
91C4×D4×C11—21no—
92C4×D4×C11C2×C411yescharacteristic
93C4×D4×C11C2311yescharacteristic
94C11×#117—21no—
95C11×#117C2×C411yescharacteristic
96C2×C11×C4⋊C4—21no—
97C2×C11×C4⋊C4C2×C411yescharacteristic
98C2×C42×C11—21no—
99C2×C42×C11—21no—
100C2×C42×C11C2311yescharacteristic
101C11×#107C2×C411yescharacteristic
102C11×#107C2×C411yescharacteristic
103C11×#106C2×C411yescharacteristic
104C11×#106C2×C411yescharacteristic
105C11×C4⋊C8—21no—
106C11×C4⋊C8—21no—
107C11×C4⋊C8—21no—
108C11×C4⋊C8—21no—
109C11×C4⋊C8—21no—
110C11×C4⋊C8—21no—
111C11×C4⋊C8—21no—
112C11×C4⋊C8C2311yescharacteristic
113C11×C4⋊C8C2311yescharacteristic
114C11×C4⋊C8C2311yescharacteristic
115C11×C4⋊C8C2311yescharacteristic
116C11×#103C2×C411yescharacteristic
117C11×#103C2×C411yescharacteristic
118C11×#103C2×C411yescharacteristic
119C11×#103C2×C411yescharacteristic
120C11×#103C2×C411yescharacteristic
121C11×#103C2×C411yescharacteristic
122C11×#102C2×C411yescharacteristic
123C11×#102C2×C411yescharacteristic
124C11×C22⋊C8—21no—
125C11×C22⋊C8—21no—
126C11×C22⋊C8—21no—
127C11×#97—21no—
128C11×#97—21no—
129C11×#97—21no—
130C11×#97—21no—
131C11×#97C2×C411yescharacteristic
132C11×#97C2×C411yescharacteristic
133C11×#97D411yescharacteristic
134C11×#97D411yescharacteristic
135C4×C8×C11—21no—
136C4×C8×C11—21no—
137C4×C8×C11—21no—
138C4×C8×C11—21no—
139C4×C8×C11C2311yescharacteristic
140C4×C8×C11C2311yescharacteristic
141C4×C8×C11C2311yescharacteristic
142C4×C8×C11C2311yescharacteristic
143C4×C8×C11C2311yescharacteristic
144C4×C8×C11C2311yescharacteristic
145#18049C1111yesmaximal, characteristic, direct product factor, Sylow
146C11×#41—22no—
147C11×#41—41no—
148C2×Q8×C11—21no—
149C2×Q8×C11—22no—
150C2×Q8×C11—41no—
151C2×Q8×C11C22×C411yescharacteristic
152C2×Q8×C11C22×C411yescharacteristic
153C2×Q8×C11C22×C411yescharacteristic
154C2×D4×C11—21no—
155C2×D4×C11C22×C411yescharacteristic
156C22×C4×C11—21no—
157C22×C4×C11—21no—
158C22×C4×C11—21no—
159C22×C4×C11—21no—
160C22×C4×C11—21no—
161C22×C4×C11C22×C411yescharacteristic
162C22×C4×C11C2×D411yescharacteristic
163C22×C4×C11#4111yescharacteristic
164C11×Q16—22no—
165C11×Q16M1614yescomplemented
166C11×SD16—22no—
167C11×SD16—22no—
168C11×M16—22no—
169C11×M16—22no—
170C11×M16—41no—
171C11×M16—41no—
172C11×M16—42no—
173C11×M16—42no—
174C11×M16—42no—
175C11×M16—42no—
176C2×C8×C11—21no—
177C2×C8×C11—21no—
178C2×C8×C11—21no—
179C2×C8×C11—21no—
180C2×C8×C11—21no—
181C2×C8×C11—21no—
182C2×C8×C11C22×C411yescharacteristic
183C2×C8×C11C22×C411yescharacteristic
184C2×C8×C11C22×C411yescharacteristic
185C2×C8×C11C22×C411yescharacteristic
186C2×C8×C11C2×D411yescharacteristic
187C2×C8×C11C2×D411yescharacteristic
188C2×C8×C11C2×D411yescharacteristic
189C2×C8×C11C2×D411yescharacteristic
190C11×C4⋊C4—21no—
191C11×C4⋊C4—21no—
192C11×C4⋊C4—21no—
193C11×C4⋊C4—21no—
194C11×C4⋊C4—21no—
195C11×C4⋊C4—21no—
196C11×C4⋊C4—21no—
197C11×C4⋊C4C22×C411yescharacteristic
198C11×C4⋊C4C22×C411yescharacteristic
199C11×C4⋊C4C22×C411yescharacteristic
200C11×C4⋊C4C22×C411yescharacteristic
201C11×C22⋊C4—21no—
202C11×C22⋊C4—21no—
203C11×C22⋊C4—21no—
204C42×C11—21no—
205C42×C11—21no—
206C42×C11—21no—
207C42×C11—21no—
208C42×C11—21no—
209C42×C11—21no—
210C42×C11—21no—
211C42×C11C22×C411yescharacteristic
212C42×C11C2×D411yescharacteristic
213C42×C11#4111yescharacteristic
214C42×C11C2411yescharacteristic
215#2971C2×C1111yescharacteristic
216Q8×M16C2×C1111yescharacteristic, complemented
217C4×#137C2×C1111yescharacteristic
218#1592C2×C1111yescharacteristic, complemented
219#1590C2×C1111yescharacteristic, complemented
220#1588C2×C1111yescharacteristic, complemented
221#1587C2×C1111yescharacteristic, complemented
222#1584C2×C1111yescharacteristic, complemented
223#1583C2×C1111yescharacteristic, complemented
224#1579C2×C1111yescharacteristic, complemented
225C8×Q16C2×C1111yescharacteristic, complemented
226#1569C2×C1111yescharacteristic, complemented
227#1491C2×C1111yescharacteristic, complemented
228#1489C2×C1111yescharacteristic
229#1455C2×C1111yescharacteristic, complemented
230C23×C11—21no—
231C23×C11C4×D411yescharacteristic
232Q8×C11—21no—
233Q8×C11—21no—
234Q8×C11—21no—
235Q8×C11—21no—
236Q8×C11—42no—
237Q8×C11C2×M1612yes—
238Q8×C11C2×M1612yes—
239D4×C11—21no—
240D4×C11—21no—
241D4×C11—42no—
242C2×C4×C11—21no—
243C2×C4×C11—21no—
244C2×C4×C11—21no—
245C2×C4×C11—21no—
246C2×C4×C11—21no—
247C2×C4×C11—21no—
248C2×C4×C11—21no—
249C2×C4×C11—21no—
250C2×C4×C11—21no—
251C2×C4×C11—21no—
252C2×C4×C11—21no—
253C2×C4×C11—41no—
254C2×C4×C11—42no—
255C2×C4×C11—42no—
256C2×C4×C11—41no—
257C2×C4×C11—41no—
258C2×C4×C11—81no—
259C2×C4×C11—81no—
260C2×C4×C11C4×D411yescharacteristic
261C2×C4×C11C4×D411yescharacteristic
262C2×C4×C11C4×D411yescharacteristic
263C2×C4×C11C23×C411yescharacteristic
264C2×C4×C11C22×D411yescharacteristic
265C2×C4×C11C2×#4111yescharacteristic
266C8×C11—22no—
267C8×C11—21no—
268C8×C11—21no—
269C8×C11—21no—
270C8×C11—21no—
271C8×C11—21no—
272C8×C11—21no—
273C8×C11—41no—
274C8×C11—41no—
275C8×C11—41no—
276C8×C11—41no—
277C8×C11—41no—
278C8×C11C2×M1612yes—
279C8×C11#13712yescomplemented
280C2×#137C4×C1111yescharacteristic
281C4×#41C22×C1111yescharacteristic
282C2×C4×Q8C22×C1111yescharacteristic
283#446—21no—
284#446—21no—
285#446C22×C1111yescharacteristic
286#446C22×C1111yescharacteristic
287C8×Q8C22×C1111yescharacteristic
288C8×Q8C22×C1111yescharacteristic
289C8×Q8C22×C1111yescharacteristic
290C8×Q8C22×C1111yescharacteristic
291#441C4×C1111yescharacteristic
292#441C4×C1111yescharacteristic
293#440C4×C1111yescharacteristic
294#440C4×C1111yescharacteristic
295C4×Q16C22×C1111yescharacteristic
296C4×Q16C22×C1111yescharacteristic
297C4×SD16C22×C1111yescharacteristic
298C4×SD16C22×C1111yescharacteristic
299#436—21no—
300#436—21no—
301#436C22×C1111yescharacteristic
302#436C22×C1111yescharacteristic
303#432—21no—
304#432C22×C1111yescharacteristic
305#428C4×C1111yescharacteristic
306#423—21no—
307#423C22×C1111yescharacteristic
308#419C4×C1111yescharacteristic
309#417C4×C1111yescharacteristic
310C4×M16—21no—
311C4×M16—21no—
312C4×M16C22×C1111yescharacteristic
313C4×M16C22×C1111yescharacteristic
314C4×M16C22×C1111yescharacteristic
315#335C22×C1111yescharacteristic
316#335C22×C1111yescharacteristic
317#334C22×C1111yescharacteristic
318#334C22×C1111yescharacteristic
319Q8⋊C8C22×C1111yescharacteristic
320Q8⋊C8C22×C1111yescharacteristic
321Q8⋊C8C22×C1111yescharacteristic
322Q8⋊C8C22×C1111yescharacteristic
323Q8⋊C8C22×C1111yescharacteristic
324Q8⋊C8C22×C1111yescharacteristic
325D4⋊C8C22×C1111yescharacteristic
326D4⋊C8C22×C1111yescharacteristic
327#322C22×C1111yescharacteristic
328#322C22×C1111yescharacteristic
329#322C22×C1111yescharacteristic
330C82C22×C1111yescharacteristic
331C22×C11—21no—
332C22×C11—21no—
333C22×C11—21no—
334C22×C11—41no—
335C22×C11—41no—
336C22×C11—41no—
337C22×C11C2×C4×D411yescharacteristic
338C4×C11—21no—
339C4×C11—22no—
340C4×C11—22no—
341C4×C11—21no—
342C4×C11—21no—
343C4×C11—21no—
344C4×C11—41no—
345C4×C11—41no—
346C4×C11—41no—
347C4×C11—41no—
348C4×C11—41no—
349C4×C11C22×M1611yescharacteristic
350C4×C11#56811yescharacteristic
351C4×C11C2×#13711yescharacteristic
352C4×C11#57511yescharacteristic
353C2×#41C2×C4×C1111yescharacteristic
354C22×Q8C2×C4×C1111yescharacteristic
355#137—24no—
356C2×Q16C2×C4×C1111yescharacteristic
357C2×Q16C2×C4×C1111yescharacteristic
358C2×SD16C2×C4×C1111yescharacteristic
359C2×SD16C2×C4×C1111yescharacteristic
360C2×M16—21no—
361C2×M16—21no—
362C2×M16—21no—
363C2×M16—21no—
364C2×M16C2×C4×C1111yescharacteristic
365C2×M16C2×C4×C1111yescharacteristic
366C2×M16D4×C1111yescharacteristic
367C2×M16D4×C1111yescharacteristic
368C4×Q8—21no—
369C4×Q8—21no—
370C4×Q8C2×C4×C1111yescharacteristic
371C4×Q8C2×C4×C1111yescharacteristic
372C4×Q8C2×C4×C1111yescharacteristic
373C4×Q8C23×C1111yescharacteristic
374C4×Q8C23×C1111yescharacteristic
375C4×Q8C23×C1111yescharacteristic
376C4×D4—21no—
377C4×D4—21no—
378C4×D4C2×C4×C1111yescharacteristic
379C4×D4C23×C1111yescharacteristic
380#117—21no—
381#117C2×C4×C1111yescharacteristic
382C2×C4⋊C4—21no—
383C2×C4⋊C4C2×C4×C1111yescharacteristic
384C2×C42—21no—
385C2×C42—21no—
386C2×C42C23×C1111yescharacteristic
387#107C2×C4×C1111yescharacteristic
388#107C2×C4×C1111yescharacteristic
389#106C2×C4×C1111yescharacteristic
390#106C2×C4×C1111yescharacteristic
391C4⋊C8—21no—
392C4⋊C8—21no—
393C4⋊C8—21no—
394C4⋊C8—21no—
395C4⋊C8—21no—
396C4⋊C8—21no—
397C4⋊C8—21no—
398C4⋊C8C23×C1111yescharacteristic
399C4⋊C8C23×C1111yescharacteristic
400C4⋊C8C23×C1111yescharacteristic
401C4⋊C8C23×C1111yescharacteristic
402#103C2×C4×C1111yescharacteristic
403#103C2×C4×C1111yescharacteristic
404#103C2×C4×C1111yescharacteristic
405#103C2×C4×C1111yescharacteristic
406#103C2×C4×C1111yescharacteristic
407#103C2×C4×C1111yescharacteristic
408#102C2×C4×C1111yescharacteristic
409#102C2×C4×C1111yescharacteristic
410C22⋊C8—21no—
411C22⋊C8—21no—
412C22⋊C8—21no—
413#97—21no—
414#97—21no—
415#97—21no—
416#97—21no—
417#97C2×C4×C1111yescharacteristic
418#97C2×C4×C1111yescharacteristic
419#97D4×C1111yescharacteristic
420#97D4×C1111yescharacteristic
421C4×C8—21no—
422C4×C8—21no—
423C4×C8—21no—
424C4×C8—21no—
425C4×C8C23×C1111yescharacteristic
426C4×C8C23×C1111yescharacteristic
427C4×C8C23×C1111yescharacteristic
428C4×C8C23×C1111yescharacteristic
429C4×C8C23×C1111yescharacteristic
430C4×C8C23×C1111yescharacteristic
431C2×C11—41no—
432C2×C11—81no—
433C2×C11D4×M1611yescharacteristic
434C2×C11C4×#13711yescharacteristic
435C2×C11#295611yescharacteristic
436#41—22no—
437#41—41no—
438C2×Q8—21no—
439C2×Q8—22no—
440C2×Q8—41no—
441C2×Q8C22×C4×C1111yescharacteristic
442C2×Q8C22×C4×C1111yescharacteristic
443C2×Q8C22×C4×C1111yescharacteristic
444C2×D4—21no—
445C2×D4C22×C4×C1111yescharacteristic
446C22×C4—21no—
447C22×C4—21no—
448C22×C4—21no—
449C22×C4—21no—
450C22×C4—21no—
451C22×C4C22×C4×C1111yescharacteristic
452C22×C4C2×D4×C1111yescharacteristic
453C22×C4C11×#4111yescharacteristic
454Q16—22no—
455Q16C11×M1614yescomplemented
456SD16—22no—
457SD16—22no—
458M16—22no—
459M16—22no—
460M16—41no—
461M16—41no—
462M16—42no—
463M16—42no—
464M16—42no—
465M16—42no—
466C2×C8—21no—
467C2×C8—21no—
468C2×C8—21no—
469C2×C8—21no—
470C2×C8—21no—
471C2×C8—21no—
472C2×C8C22×C4×C1111yescharacteristic
473C2×C8C22×C4×C1111yescharacteristic
474C2×C8C22×C4×C1111yescharacteristic
475C2×C8C22×C4×C1111yescharacteristic
476C2×C8C2×D4×C1111yescharacteristic
477C2×C8C2×D4×C1111yescharacteristic
478C2×C8C2×D4×C1111yescharacteristic
479C2×C8C2×D4×C1111yescharacteristic
480C4⋊C4—21no—
481C4⋊C4—21no—
482C4⋊C4—21no—
483C4⋊C4—21no—
484C4⋊C4—21no—
485C4⋊C4—21no—
486C4⋊C4—21no—
487C4⋊C4C22×C4×C1111yescharacteristic
488C4⋊C4C22×C4×C1111yescharacteristic
489C4⋊C4C22×C4×C1111yescharacteristic
490C4⋊C4C22×C4×C1111yescharacteristic
491C22⋊C4—21no—
492C22⋊C4—21no—
493C22⋊C4—21no—
494C42—21no—
495C42—21no—
496C42—21no—
497C42—21no—
498C42—21no—
499C42—21no—
500C42—21no—
501C42C22×C4×C1111yescharacteristic
502C42C2×D4×C1111yescharacteristic
503C42C11×#4111yescharacteristic
504C42C24×C1111yescharacteristic
505C11#1804911yescharacteristic, direct product factor, Sylow
506C23—21no—
507C23C4×D4×C1111yescharacteristic
508Q8—21no—
509Q8—21no—
510Q8—21no—
511Q8—21no—
512Q8—42no—
513Q8C2×C11×M1612yes—
514Q8C2×C11×M1612yes—
515D4—21no—
516D4—21no—
517D4—42no—
518C2×C4—21no—
519C2×C4—21no—
520C2×C4—21no—
521C2×C4—21no—
522C2×C4—21no—
523C2×C4—21no—
524C2×C4—21no—
525C2×C4—21no—
526C2×C4—21no—
527C2×C4—21no—
528C2×C4—21no—
529C2×C4—41no—
530C2×C4—42no—
531C2×C4—42no—
532C2×C4—41no—
533C2×C4—41no—
534C2×C4—81no—
535C2×C4—81no—
536C2×C4C4×D4×C1111yescharacteristic
537C2×C4C4×D4×C1111yescharacteristic
538C2×C4C4×D4×C1111yescharacteristic
539C2×C4C23×C4×C1111yescharacteristic
540C2×C4C22×D4×C1111yescharacteristic
541C2×C4C2×C11×#4111yescharacteristic
542C8—22no—
543C8—21no—
544C8—21no—
545C8—21no—
546C8—21no—
547C8—21no—
548C8—21no—
549C8—41no—
550C8—41no—
551C8—41no—
552C8—41no—
553C8—41no—
554C8C2×C11×M1612yes—
555C8C11×#13712yescomplemented
556C22—21no—
557C22—21no—
558C22—21no—
559C22—41no—
560C22—41no—
561C22—41no—
562C22C2×C4×D4×C1111yescharacteristic
563C4—21no—
564C4—22no—
565C4—22no—
566C4—21no—
567C4—21no—
568C4—21no—
569C4—41no—
570C4—41no—
571C4—41no—
572C4—41no—
573C4—41no—
574C4C22×C11×M1611yescharacteristic
575C4C11×#56811yescharacteristic
576C4C2×C11×#13711yescharacteristic
577C4C11×#57511yescharacteristic
578C2—41no—
579C2—81no—
580C2D4×C11×M1611yescharacteristic
581C2C4×C11×#13711yescharacteristic
582C2C11×#295611yescharacteristic
subgroupG/H
centerC2×C4×C11C22×D4
commutatorC2×C4C23×C4×C11
Frattini, cosocleC42C24×C11
socleC22×C11C2×C4×D4
prime radicalC2×C11×#41C2×C4
LCSG ▷ C2×C4 ▷ C2 ▷ C1
UCSC1 ◁ C2×C4×C11 ◁ C4×C11×M16 ◁ G

Complements

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

NH ≅ G/Ntype
2. Q8×C11×M16C2semidirect
4. C11×#1592C2semidirect
5. C11×#1590C2semidirect
6. C11×#1588C2semidirect
7. C11×#1587C2semidirect
8. C11×#1584C2semidirect
9. C11×#1583C2semidirect
10. C11×#1579C2semidirect
11. C8×C11×Q16C2semidirect
12. C11×#1569C2semidirect
13. C11×#1491C2semidirect
15. C11×#1455C2semidirect
145. #18049C11direct (N × H)
165. C11×Q16M16semidirect
216. Q8×M16C2×C11semidirect
218. #1592C2×C11semidirect
219. #1590C2×C11semidirect
220. #1588C2×C11semidirect
221. #1587C2×C11semidirect
222. #1584C2×C11semidirect
223. #1583C2×C11semidirect
224. #1579C2×C11semidirect
225. C8×Q16C2×C11semidirect
226. #1569C2×C11semidirect
227. #1491C2×C11semidirect
229. #1455C2×C11semidirect
279. C8×C11#137semidirect
455. Q16C11×M16semidirect
505. C11#18049direct (N × H)
555. C8C11×#137semidirect

Maximal subgroups

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

subgroupindex
C11×#29712
Q8×C11×M162
C4×C11×#1372
C11×#15922
C11×#15902
C11×#15882
C11×#15872
C11×#15842
C11×#15832
C11×#15792
C8×C11×Q162
C11×#15692
C11×#14912
C11×#14892
C11×#14552
#1804911