Finite Group Databasebeta

← C11×#23230 #14600423

Subgroups — C11×#23230 #14600423

Order 2816.

822 conjugacy classes of subgroups.

The subgroup lattice has 622 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C11×#489C211yesmaximal, characteristic
2C11×#2369C211yesmaximal, characteristic, complemented
3C11×#2367C211yesmaximal, characteristic
4C11×#1988C211yesmaximal, characteristic, complemented
5C11×#1983C211yesmaximal, characteristic
6C11×#1935C211yesmaximal, characteristic, complemented
7C11×#1934C211yesmaximal, characteristic
8C11×#1927C211yesmaximal, characteristic, complemented
9C11×#1926C211yesmaximal, characteristic
10C11×#1863C211yesmaximal, characteristic, complemented
11C11×#1862C211yesmaximal, characteristic
12C11×#1776C211yesmaximal, characteristic, complemented
13C11×#1771C211yesmaximal, characteristic, complemented
14C11×#1762C211yesmaximal, characteristic
15C4×C11×#103C211yesmaximal, characteristic, complemented
16C2×C11×C4⋊Q8C2211yescharacteristic
17C2×C11×#124C2211yescharacteristic
18C2×C4×Q8×C11C2211yescharacteristic
19C2×C4×D4×C11C2211yescharacteristic
20C11×#489C418yescomplemented
21C2×C11×#107C2211yescharacteristic
22C2×C11×#106C2211yescharacteristic
23C2×C11×C4⋊C8C2211yescharacteristic
24C2×C11×#103C2211yescharacteristic
25C2×C11×#103C2211yescharacteristic
26C2×C11×#103C2211yescharacteristic
27C2×C11×#103C2211yescharacteristic
28C2×C11×#102C2211yescharacteristic
29C2×C11×#102C2211yescharacteristic
30C2×C11×#102C2211yescharacteristic
31C2×C11×#102C2211yescharacteristic
32C2×C11×#97C2211yescharacteristic
33C2×C11×#97C2211yescharacteristic
34C2×C4×C8×C11C2211yescharacteristic
35C11×#391—21no—
36C11×#391—21no—
37C11×#391C2211yescharacteristic
38C11×#390C2211yescharacteristic
39C11×#389—21no—
40C11×#389C2211yescharacteristic
41C11×#389C2211yescharacteristic
42C11×#388—21no—
43C11×#388—21no—
44C11×#385—21no—
45C4×C11×C4⋊C4—21no—
46C4×C11×C4⋊C4C2211yescharacteristic
47C4×C11×C4⋊C4C2211yescharacteristic
48C4×C11×C4⋊C4C2211yescharacteristic
49C4×C11×C4⋊C4C2211yescharacteristic
50C4×C11×C4⋊C4C2211yescharacteristic
51C4×C11×C22⋊C4—21no—
52C11×#340C2211yescharacteristic
53C11×#340C2211yescharacteristic
54C11×#340C2211yescharacteristic
55C11×#340C2211yescharacteristic
56C11×#340C2211yescharacteristic
57C11×#340C2211yescharacteristic
58C11×#336C2211yescharacteristic
59C11×#336C2211yescharacteristic
60C22×Q8×C11—21no—
61C22×Q8×C11C2311yescharacteristic
62C22×D4×C11C2311yescharacteristic
63C23×C4×C11—21no—
64C22×C8×C11C2311yescharacteristic
65C22×C8×C11C2311yescharacteristic
66C22×C8×C11C2311yescharacteristic
67C22×C8×C11C2311yescharacteristic
68C11×C4⋊Q8—22no—
69C11×C4⋊Q8C2×C414yescomplemented
70C11×#124—22no—
71C11×#124C2×C414yes—
72C4×Q8×C11—22no—
73C4×Q8×C11—41no—
74C4×D4×C11—22no—
75C4×D4×C11—41no—
76C2×C11×C4⋊C4—21no—
77C2×C11×C4⋊C4—21no—
78C2×C11×C4⋊C4—21no—
79C2×C11×C4⋊C4—21no—
80C2×C11×C4⋊C4D411yescharacteristic
81C2×C11×C4⋊C4D411yescharacteristic
82C2×C11×C4⋊C4C2311yescharacteristic
83C2×C11×C4⋊C4C2311yescharacteristic
84C2×C11×C4⋊C4C2311yescharacteristic
85C2×C11×C4⋊C4C2311yescharacteristic
86C2×C11×C4⋊C4C2311yescharacteristic
87C2×C11×C4⋊C4C2311yescharacteristic
88C2×C11×C22⋊C4—21no—
89C2×C11×C22⋊C4—21no—
90C2×C11×C22⋊C4—21no—
91C2×C11×C22⋊C4—21no—
92C2×C11×C22⋊C4—21no—
93C2×C42×C11—21no—
94C2×C42×C11—21no—
95C2×C42×C11—21no—
96C2×C42×C11—21no—
97C2×C42×C11—21no—
98C2×C42×C11C2311yescharacteristic
99C2×C42×C11C2311yescharacteristic
100C2×C42×C11C2311yescharacteristic
101C11×#107—22no—
102C11×#106—22no—
103C11×C4⋊C8—22no—
104C11×#103—22no—
105C11×#103—41no—
106C11×#103C2×C414yescomplemented
107C11×#103C2×C414yescomplemented
108C11×#102—22no—
109C11×#102—41no—
110C11×#102C2×C414yes—
111C11×#102C2×C414yes—
112C11×#97—41no—
113C11×#97C2×C414yescomplemented
114C4×C8×C11—41no—
115C11×#95—21no—
116C11×#95—21no—
117C11×#95—21no—
118C11×#95—21no—
119C11×#95—21no—
120C11×#95—21no—
121C11×#95—21no—
122C11×#95—21no—
123C11×#95D411yescharacteristic
124C11×#95D411yescharacteristic
125#23230C1111yesmaximal, characteristic, direct product factor, Sylow
126C24×C11—21no—
127C2×Q8×C11—24no—
128C2×Q8×C11—21no—
129C2×Q8×C11—21no—
130C2×Q8×C11—21no—
131C2×Q8×C11—21no—
132C2×Q8×C11—21no—
133C2×Q8×C11—81no—
134C2×Q8×C11—81no—
135C2×Q8×C11C22×C412yes—
136C2×D4×C11—21no—
137C2×D4×C11—21no—
138C2×D4×C11—21no—
139C2×D4×C11—21no—
140C2×D4×C11—21no—
141C2×D4×C11C22×C412yes—
142C22×C4×C11—21no—
143C22×C4×C11—21no—
144C22×C4×C11—21no—
145C22×C4×C11—21no—
146C22×C4×C11—21no—
147C22×C4×C11—21no—
148C22×C4×C11—21no—
149C22×C4×C11—42no—
150C22×C4×C11—42no—
151C22×C4×C11—81no—
152C22×C4×C11C2×D411yescharacteristic
153C22×C4×C11C2×D411yescharacteristic
154C22×C4×C11C2×D411yescharacteristic
155C22×C4×C11C2×D411yescharacteristic
156C22×C4×C11C2×D411yescharacteristic
157C22×C4×C11C2×D411yescharacteristic
158C22×C4×C11C2411yescharacteristic
159C2×C8×C11—21no—
160C2×C8×C11—21no—
161C2×C8×C11—21no—
162C2×C8×C11—21no—
163C2×C8×C11—21no—
164C2×C8×C11—21no—
165C2×C8×C11—21no—
166C2×C8×C11—21no—
167C2×C8×C11—21no—
168C2×C8×C11—21no—
169C2×C8×C11C22×C412yes—
170C2×C8×C11C22×C412yes—
171C11×C4⋊C4—24no—
172C11×C4⋊C4—22no—
173C11×C4⋊C4—21no—
174C11×C4⋊C4—21no—
175C11×C4⋊C4—21no—
176C11×C4⋊C4—21no—
177C11×C4⋊C4—21no—
178C11×C4⋊C4—21no—
179C11×C4⋊C4—21no—
180C11×C4⋊C4—21no—
181C11×C4⋊C4—41no—
182C11×C4⋊C4—42no—
183C11×C4⋊C4—81no—
184C11×C4⋊C4—81no—
185C11×C4⋊C4C22×C412yes—
186C11×C4⋊C4C22×C412yes—
187C11×C4⋊C4#4112yes—
188C11×C4⋊C4#4112yes—
189C11×C22⋊C4—24no—
190C11×C22⋊C4—24no—
191C11×C22⋊C4—42no—
192C11×C22⋊C4—42no—
193C11×C22⋊C4—81no—
194C42×C11—21no—
195C42×C11—21no—
196C42×C11—21no—
197C42×C11—21no—
198C42×C11—42no—
199C42×C11—42no—
200C42×C11—81no—
201C42×C11—81no—
202C42×C11—81no—
203C42×C11C22×C412yes—
204C42×C11#4112yes—
205C2×#489C2×C1111yescharacteristic
206#2369C2×C1111yescharacteristic, complemented
207#2367C2×C1111yescharacteristic
208#1988C2×C1111yescharacteristic, complemented
209#1983C2×C1111yescharacteristic
210#1935C2×C1111yescharacteristic, complemented
211#1934C2×C1111yescharacteristic
212#1927C2×C1111yescharacteristic, complemented
213#1926C2×C1111yescharacteristic
214#1863C2×C1111yescharacteristic, complemented
215#1862C2×C1111yescharacteristic
216#1776C2×C1111yescharacteristic, complemented
217#1771C2×C1111yescharacteristic, complemented
218#1762C2×C1111yescharacteristic
219C4×#103C2×C1111yescharacteristic, complemented
220C23×C11—22no—
221C23×C11—41no—
222C23×C11—41no—
223C23×C11—41no—
224C23×C11—41no—
225C23×C11—41no—
226C23×C11—41no—
227C23×C11C22×D411yescharacteristic
228Q8×C11—22no—
229Q8×C11—22no—
230Q8×C11—41no—
231Q8×C11—41no—
232Q8×C11—84no—
233D4×C11—22no—
234D4×C11—22no—
235D4×C11—41no—
236D4×C11—41no—
237C2×C4×C11—21no—
238C2×C4×C11—21no—
239C2×C4×C11—21no—
240C2×C4×C11—21no—
241C2×C4×C11—21no—
242C2×C4×C11—21no—
243C2×C4×C11—22no—
244C2×C4×C11—22no—
245C2×C4×C11—22no—
246C2×C4×C11—21no—
247C2×C4×C11—21no—
248C2×C4×C11—21no—
249C2×C4×C11—22no—
250C2×C4×C11—22no—
251C2×C4×C11—21no—
252C2×C4×C11—21no—
253C2×C4×C11—21no—
254C2×C4×C11—21no—
255C2×C4×C11—21no—
256C2×C4×C11—21no—
257C2×C4×C11—41no—
258C2×C4×C11—41no—
259C2×C4×C11—41no—
260C2×C4×C11—41no—
261C2×C4×C11—41no—
262C2×C4×C11—41no—
263C2×C4×C11—41no—
264C2×C4×C11—41no—
265C2×C4×C11—41no—
266C2×C4×C11—41no—
267C2×C4×C11—41no—
268C2×C4×C11—41no—
269C2×C4×C11—41no—
270C2×C4×C11—41no—
271C2×C4×C11—41no—
272C2×C4×C11—41no—
273C2×C4×C11—84no—
274C2×C4×C11C4×D412yes—
275C2×C4×C11C4×D412yes—
276C2×C4×C11#13712yes—
277C2×C4×C11C23×C411yescharacteristic
278C2×C4×C11C2×#4111yescharacteristic
279C2×C4×C11C2×#4111yescharacteristic
280C2×C4×C11C2×#4111yescharacteristic
281C2×C4×C11H(5,𝔽2)11yescharacteristic
282C2×C4×C112−1+411yescharacteristic
283C8×C11—22no—
284C8×C11—22no—
285C8×C11—41no—
286C8×C11—41no—
287C2×C4⋊Q8C22×C1111yescharacteristic
288C2×#124C22×C1111yescharacteristic
289C2×C4×Q8C22×C1111yescharacteristic
290C2×C4×D4C22×C1111yescharacteristic
291#489C4×C1118yescomplemented
292C2×#107C22×C1111yescharacteristic
293C2×#106C22×C1111yescharacteristic
294C2×C4⋊C8C22×C1111yescharacteristic
295C2×#103C22×C1111yescharacteristic
296C2×#103C22×C1111yescharacteristic
297C2×#103C22×C1111yescharacteristic
298C2×#103C22×C1111yescharacteristic
299C2×#102C22×C1111yescharacteristic
300C2×#102C22×C1111yescharacteristic
301C2×#102C22×C1111yescharacteristic
302C2×#102C22×C1111yescharacteristic
303C2×#97C22×C1111yescharacteristic
304C2×#97C22×C1111yescharacteristic
305C2×C4×C8C22×C1111yescharacteristic
306#391—21no—
307#391—21no—
308#391C22×C1111yescharacteristic
309#390C22×C1111yescharacteristic
310#389—21no—
311#389C22×C1111yescharacteristic
312#389C22×C1111yescharacteristic
313#388—21no—
314#388—21no—
315#385—21no—
316C4×C4⋊C4—21no—
317C4×C4⋊C4C22×C1111yescharacteristic
318C4×C4⋊C4C22×C1111yescharacteristic
319C4×C4⋊C4C22×C1111yescharacteristic
320C4×C4⋊C4C22×C1111yescharacteristic
321C4×C4⋊C4C22×C1111yescharacteristic
322C4×C22⋊C4—21no—
323#340C22×C1111yescharacteristic
324#340C22×C1111yescharacteristic
325#340C22×C1111yescharacteristic
326#340C22×C1111yescharacteristic
327#340C22×C1111yescharacteristic
328#340C22×C1111yescharacteristic
329#336C22×C1111yescharacteristic
330#336C22×C1111yescharacteristic
331C22×C11—42no—
332C22×C11—42no—
333C22×C11—42no—
334C22×C11—81no—
335C22×C11—81no—
336C22×C11—81no—
337C22×C11—81no—
338C22×C11C2×C4×D411yescharacteristic
339C22×C11#54611yescharacteristic
340C22×C11#54811yescharacteristic
341C22×C11C2×#13711yescharacteristic
342C22×C11#57511yescharacteristic
343C22×C11#57611yescharacteristic
344C22×C11#57711yescharacteristic
345C4×C11—22no—
346C4×C11—22no—
347C4×C11—22no—
348C4×C11—42no—
349C4×C11—42no—
350C4×C11—42no—
351C4×C11—42no—
352C4×C11—41no—
353C4×C11—41no—
354C4×C11—41no—
355C4×C11—42no—
356C4×C11—81no—
357C4×C11—81no—
358C4×C11C4×#4111yescharacteristic
359C4×C11#52011yescharacteristic
360C4×C11#55611yescharacteristic
361C4×C11#55911yescharacteristic
362C22×Q8—21no—
363C22×Q8C23×C1111yescharacteristic
364C22×D4C23×C1111yescharacteristic
365C23×C4—21no—
366C22×C8C23×C1111yescharacteristic
367C22×C8C23×C1111yescharacteristic
368C22×C8C23×C1111yescharacteristic
369C22×C8C23×C1111yescharacteristic
370C4⋊Q8—22no—
371C4⋊Q8C2×C4×C1114yescomplemented
372#124—22no—
373#124C2×C4×C1114yes—
374C4×Q8—22no—
375C4×Q8—41no—
376C4×D4—22no—
377C4×D4—41no—
378C2×C4⋊C4—21no—
379C2×C4⋊C4—21no—
380C2×C4⋊C4—21no—
381C2×C4⋊C4—21no—
382C2×C4⋊C4D4×C1111yescharacteristic
383C2×C4⋊C4D4×C1111yescharacteristic
384C2×C4⋊C4C23×C1111yescharacteristic
385C2×C4⋊C4C23×C1111yescharacteristic
386C2×C4⋊C4C23×C1111yescharacteristic
387C2×C4⋊C4C23×C1111yescharacteristic
388C2×C4⋊C4C23×C1111yescharacteristic
389C2×C4⋊C4C23×C1111yescharacteristic
390C2×C22⋊C4—21no—
391C2×C22⋊C4—21no—
392C2×C22⋊C4—21no—
393C2×C22⋊C4—21no—
394C2×C22⋊C4—21no—
395C2×C42—21no—
396C2×C42—21no—
397C2×C42—21no—
398C2×C42—21no—
399C2×C42—21no—
400C2×C42C23×C1111yescharacteristic
401C2×C42C23×C1111yescharacteristic
402C2×C42C23×C1111yescharacteristic
403#107—22no—
404#106—22no—
405C4⋊C8—22no—
406#103—22no—
407#103—41no—
408#103C2×C4×C1114yescomplemented
409#103C2×C4×C1114yescomplemented
410#102—22no—
411#102—41no—
412#102C2×C4×C1114yes—
413#102C2×C4×C1114yes—
414#97—41no—
415#97C2×C4×C1114yescomplemented
416C4×C8—41no—
417#95—21no—
418#95—21no—
419#95—21no—
420#95—21no—
421#95—21no—
422#95—21no—
423#95—21no—
424#95—21no—
425#95D4×C1111yescharacteristic
426#95D4×C1111yescharacteristic
427C2×C11—82no—
428C2×C11#236711yescharacteristic
429C2×C11C4×#13711yescharacteristic
430C2×C11#294611yescharacteristic
431C2×C11#331611yescharacteristic
432C2×C11#331911yescharacteristic
433C2×C11#337511yescharacteristic
434C2×C11#337611yescharacteristic
435C24—21no—
436C2×Q8—24no—
437C2×Q8—21no—
438C2×Q8—21no—
439C2×Q8—21no—
440C2×Q8—21no—
441C2×Q8—21no—
442C2×Q8—81no—
443C2×Q8—81no—
444C2×Q8C22×C4×C1112yes—
445C2×D4—21no—
446C2×D4—21no—
447C2×D4—21no—
448C2×D4—21no—
449C2×D4—21no—
450C2×D4C22×C4×C1112yes—
451C22×C4—21no—
452C22×C4—21no—
453C22×C4—21no—
454C22×C4—21no—
455C22×C4—21no—
456C22×C4—21no—
457C22×C4—21no—
458C22×C4—42no—
459C22×C4—42no—
460C22×C4—81no—
461C22×C4C2×D4×C1111yescharacteristic
462C22×C4C2×D4×C1111yescharacteristic
463C22×C4C2×D4×C1111yescharacteristic
464C22×C4C2×D4×C1111yescharacteristic
465C22×C4C2×D4×C1111yescharacteristic
466C22×C4C2×D4×C1111yescharacteristic
467C22×C4C24×C1111yescharacteristic
468C2×C8—21no—
469C2×C8—21no—
470C2×C8—21no—
471C2×C8—21no—
472C2×C8—21no—
473C2×C8—21no—
474C2×C8—21no—
475C2×C8—21no—
476C2×C8—21no—
477C2×C8—21no—
478C2×C8C22×C4×C1112yes—
479C2×C8C22×C4×C1112yes—
480C4⋊C4—24no—
481C4⋊C4—22no—
482C4⋊C4—21no—
483C4⋊C4—21no—
484C4⋊C4—21no—
485C4⋊C4—21no—
486C4⋊C4—21no—
487C4⋊C4—21no—
488C4⋊C4—21no—
489C4⋊C4—21no—
490C4⋊C4—41no—
491C4⋊C4—42no—
492C4⋊C4—81no—
493C4⋊C4—81no—
494C4⋊C4C22×C4×C1112yes—
495C4⋊C4C22×C4×C1112yes—
496C4⋊C4C11×#4112yes—
497C4⋊C4C11×#4112yes—
498C22⋊C4—24no—
499C22⋊C4—24no—
500C22⋊C4—42no—
501C22⋊C4—42no—
502C22⋊C4—81no—
503C42—21no—
504C42—21no—
505C42—21no—
506C42—21no—
507C42—42no—
508C42—42no—
509C42—81no—
510C42—81no—
511C42—81no—
512C42C22×C4×C1112yes—
513C42C11×#4112yes—
514C11#2323011yescharacteristic, direct product factor, Sylow
515C23—22no—
516C23—41no—
517C23—41no—
518C23—41no—
519C23—41no—
520C23—41no—
521C23—41no—
522C23C22×D4×C1111yescharacteristic
523Q8—22no—
524Q8—22no—
525Q8—41no—
526Q8—41no—
527Q8—84no—
528D4—22no—
529D4—22no—
530D4—41no—
531D4—41no—
532C2×C4—21no—
533C2×C4—21no—
534C2×C4—21no—
535C2×C4—21no—
536C2×C4—21no—
537C2×C4—21no—
538C2×C4—22no—
539C2×C4—22no—
540C2×C4—22no—
541C2×C4—21no—
542C2×C4—21no—
543C2×C4—21no—
544C2×C4—22no—
545C2×C4—22no—
546C2×C4—21no—
547C2×C4—21no—
548C2×C4—21no—
549C2×C4—21no—
550C2×C4—21no—
551C2×C4—21no—
552C2×C4—41no—
553C2×C4—41no—
554C2×C4—41no—
555C2×C4—41no—
556C2×C4—41no—
557C2×C4—41no—
558C2×C4—41no—
559C2×C4—41no—
560C2×C4—41no—
561C2×C4—41no—
562C2×C4—41no—
563C2×C4—41no—
564C2×C4—41no—
565C2×C4—41no—
566C2×C4—41no—
567C2×C4—41no—
568C2×C4—84no—
569C2×C4C4×D4×C1112yes—
570C2×C4C4×D4×C1112yes—
571C2×C4C11×#13712yes—
572C2×C4C23×C4×C1111yescharacteristic
573C2×C4C2×C11×#4111yescharacteristic
574C2×C4C2×C11×#4111yescharacteristic
575C2×C4C2×C11×#4111yescharacteristic
576C2×C4C11×H(5,𝔽2)11yescharacteristic
577C2×C4C11×2−1+411yescharacteristic
578C8—22no—
579C8—22no—
580C8—41no—
581C8—41no—
582C22—42no—
583C22—42no—
584C22—42no—
585C22—81no—
586C22—81no—
587C22—81no—
588C22—81no—
589C22C2×C4×D4×C1111yescharacteristic
590C22C11×#54611yescharacteristic
591C22C11×#54811yescharacteristic
592C22C2×C11×#13711yescharacteristic
593C22C11×#57511yescharacteristic
594C22C11×#57611yescharacteristic
595C22C11×#57711yescharacteristic
596C4—22no—
597C4—22no—
598C4—22no—
599C4—42no—
600C4—42no—
601C4—41no—
602C4—41no—
603C4—41no—
604C4—42no—
605C4—42no—
606C4—42no—
607C4—81no—
608C4—81no—
609C4C4×C11×#4111yescharacteristic
610C4C11×#52011yescharacteristic
611C4C11×#55611yescharacteristic
612C4C11×#55911yescharacteristic
613C2—82no—
614C2C11×#236711yescharacteristic
615C2C4×C11×#13711yescharacteristic
616C2C11×#294611yescharacteristic
617C2C11×#331611yescharacteristic
618C2C11×#331911yescharacteristic
619C2C11×#337511yescharacteristic
620C2C11×#337611yescharacteristic
subgroupG/H
center, socleC23×C11C22×D4
commutatorC2×C4C23×C4×C11
Frattini, cosocleC22×C4C24×C11
prime radicalC22×D4×C11C23
LCSG ▷ C2×C4 ▷ C2 ▷ C1
UCSC1 ◁ C23×C11 ◁ C4×C11×C4⋊C4 ◁ G

Complements

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

NH ≅ G/Ntype
2. C11×#2369C2semidirect
4. C11×#1988C2semidirect
6. C11×#1935C2semidirect
8. C11×#1927C2semidirect
10. C11×#1863C2semidirect
12. C11×#1776C2semidirect
13. C11×#1771C2semidirect
15. C4×C11×#103C2semidirect
20. C11×#489C4semidirect
69. C11×C4⋊Q8C2×C4semidirect
106. C11×#103C2×C4semidirect
107. C11×#103C2×C4semidirect
113. C11×#97C2×C4semidirect
125. #23230C11direct (N × H)
206. #2369C2×C11semidirect
208. #1988C2×C11semidirect
210. #1935C2×C11semidirect
212. #1927C2×C11semidirect
214. #1863C2×C11semidirect
216. #1776C2×C11semidirect
217. #1771C2×C11semidirect
219. C4×#103C2×C11semidirect
291. #489C4×C11semidirect
371. C4⋊Q8C2×C4×C11semidirect
408. #103C2×C4×C11semidirect
409. #103C2×C4×C11semidirect
415. #97C2×C4×C11semidirect
514. C11#23230direct (N × H)

Maximal subgroups

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

subgroupindex
C2×C11×#4892
C11×#23692
C11×#23672
C11×#19882
C11×#19832
C11×#19352
C11×#19342
C11×#19272
C11×#19262
C11×#18632
C11×#18622
C11×#17762
C11×#17712
C11×#17622
C4×C11×#1032
#2323011