Finite Group Databasebeta

← C11×#26170 #14603363

Subgroups — C11×#26170 #14603363

Order 2816.

868 conjugacy classes of subgroups.

The subgroup lattice has 656 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C11×#461C211yesmaximal, characteristic
2C2×C4×C11×SD16C211yesmaximal, characteristic
3C11×#2446C211yesmaximal, characteristic, complemented
4C11×#2349C211yesmaximal, characteristic
5C11×#2097C211yesmaximal, characteristic, complemented
6C11×#2088C211yesmaximal, characteristic, complemented
7C11×#2074C211yesmaximal, characteristic, complemented
8C11×#2043C211yesmaximal, characteristic, complemented
9C11×#1933C211yesmaximal, characteristic, complemented
10C11×#1916C211yesmaximal, characteristic, complemented
11C11×#1877C211yesmaximal, characteristic
12C11×#1877C211yesmaximal, characteristic
13C11×#1877C211yesmaximal, characteristic
14C11×#1863C211yesmaximal, characteristic, complemented
15C11×#1862C211yesmaximal, characteristic
16C22×C11×SD16C2211yescharacteristic
17C22×C11×SD16C2211yescharacteristic
18C2×C11×C4⋊Q8C2211yescharacteristic
19C2×C4×Q8×C11C2211yescharacteristic
20C2×C4×D4×C11C2211yescharacteristic
21C2×C4×D4×C11C2211yescharacteristic
22C2×C4×D4×C11C2211yescharacteristic
23C11×#461—24no—
24C4×C11×SD16—24no—
25C2×C11×#107C2211yescharacteristic
26C2×C11×#106C2211yescharacteristic
27C2×C11×C4⋊C8C2211yescharacteristic
28C2×C11×#103C2211yescharacteristic
29C2×C11×#103C2211yescharacteristic
30C2×C11×#103C2211yescharacteristic
31C2×C11×#103C2211yescharacteristic
32C2×C11×#103C2211yescharacteristic
33C2×C11×#103C2211yescharacteristic
34C2×C11×#102C2211yescharacteristic
35C2×C11×#102C2211yescharacteristic
36C2×C4×C8×C11C2211yescharacteristic
37C11×#400—21no—
38C11×#398—21no—
39C11×#391C2211yescharacteristic
40C11×#391C2211yescharacteristic
41C11×#391C2211yescharacteristic
42C11×#389C2211yescharacteristic
43C11×#389C2211yescharacteristic
44C11×#389C2211yescharacteristic
45C11×#387—21no—
46C11×#387—21no—
47C11×#385—21no—
48C11×#385—21no—
49C11×#382C2211yescharacteristic
50C11×#380—21no—
51C4×C11×C4⋊C4C2211yescharacteristic
52C2×C11×#95—21no—
53C11×#340C2211yescharacteristic
54C11×#340C2211yescharacteristic
55C11×#340C2211yescharacteristic
56C11×#340C2211yescharacteristic
57C11×#336C2211yescharacteristic
58C11×#336C2211yescharacteristic
59C11×#336C2211yescharacteristic
60C11×#336C2211yescharacteristic
61C22×Q8×C11C2311yescharacteristic
62C22×Q8×C11C2311yescharacteristic
63C22×D4×C11C2311yescharacteristic
64C23×C4×C11—21no—
65C23×C4×C11—21no—
66C23×C4×C11—21no—
67C2×C11×SD16—22no—
68C2×C11×SD16—22no—
69C2×C11×SD16—22no—
70C2×C11×SD16—22no—
71C2×C11×SD16—22no—
72C2×C11×SD16D414yes—
73C22×C8×C11C2311yescharacteristic
74C22×C8×C11C2311yescharacteristic
75C22×C8×C11C2311yescharacteristic
76C22×C8×C11C2311yescharacteristic
77C11×C4⋊Q8—22no—
78C11×C4⋊Q8—41no—
79C4×Q8×C11—22no—
80C4×Q8×C11—41no—
81C4×D4×C11—22no—
82C4×D4×C11—22no—
83C4×D4×C11—22no—
84C4×D4×C11—22no—
85C4×D4×C11—41no—
86C4×D4×C11—41no—
87C2×C11×C4⋊C4—21no—
88C2×C11×C4⋊C4—21no—
89C2×C11×C4⋊C4—21no—
90C2×C11×C4⋊C4—21no—
91C2×C11×C4⋊C4—21no—
92C2×C11×C4⋊C4—21no—
93C2×C11×C4⋊C4D411yescharacteristic
94C2×C11×C4⋊C4D411yescharacteristic
95C2×C11×C4⋊C4C2311yescharacteristic
96C2×C11×C4⋊C4C2311yescharacteristic
97C2×C11×C4⋊C4C2311yescharacteristic
98C2×C11×C4⋊C4C2311yescharacteristic
99C2×C11×C4⋊C4C2311yescharacteristic
100C2×C11×C22⋊C4—21no—
101C2×C11×C22⋊C4—21no—
102C2×C11×C22⋊C4—21no—
103C2×C42×C11—21no—
104C2×C42×C11C2311yescharacteristic
105C2×C42×C11C2311yescharacteristic
106C2×C42×C11C2311yescharacteristic
107C11×#107—41no—
108C11×#106—22no—
109C11×C4⋊C8—22no—
110C11×#103—22no—
111C11×#103—22no—
112C11×#103—22no—
113C11×#103—22no—
114C11×#103—22no—
115C11×#103—41no—
116C11×#102—22no—
117C11×#102—22no—
118C4×C8×C11—22no—
119C11×#95—21no—
120C11×#95—21no—
121C11×#95—21no—
122C11×#95—21no—
123C11×#95—21no—
124C11×#95—21no—
125C11×#95—21no—
126C11×#95—21no—
127C11×#95—21no—
128C11×#95—21no—
129C11×#95—21no—
130C11×#95D411yescharacteristic
131C11×#95D411yescharacteristic
132#26170C1111yesmaximal, characteristic, direct product factor, Sylow
133C24×C11—21no—
134C2×Q8×C11—21no—
135C2×Q8×C11—21no—
136C2×Q8×C11—21no—
137C2×Q8×C11—21no—
138C2×Q8×C11—21no—
139C2×Q8×C11—21no—
140C2×Q8×C11—21no—
141C2×Q8×C11—21no—
142C2×Q8×C11—21no—
143C2×Q8×C11—21no—
144C2×Q8×C11—21no—
145C2×Q8×C11C2×D412yes—
146C2×D4×C11—21no—
147C2×D4×C11—21no—
148C2×D4×C11—21no—
149C2×D4×C11C2×D412yes—
150C2×D4×C11#4112yes—
151C2×D4×C11#4112yes—
152C22×C4×C11—21no—
153C22×C4×C11—21no—
154C22×C4×C11—24no—
155C22×C4×C11—21no—
156C22×C4×C11—21no—
157C22×C4×C11—21no—
158C22×C4×C11—21no—
159C22×C4×C11—21no—
160C22×C4×C11—42no—
161C22×C4×C11—42no—
162C22×C4×C11—42no—
163C22×C4×C11—42no—
164C22×C4×C11—81no—
165C22×C4×C11—81no—
166C22×C4×C11—81no—
167C22×C4×C11—81no—
168C22×C4×C11C2×D411yescharacteristic
169C22×C4×C11C2×D411yescharacteristic
170C22×C4×C11C2×D411yescharacteristic
171C22×C4×C11C2×D411yescharacteristic
172C22×C4×C11C2×D411yescharacteristic
173C22×C4×C11C2×D411yescharacteristic
174C22×C4×C11C2411yescharacteristic
175C11×SD16—28no—
176C11×SD16—44no—
177C2×C8×C11—21no—
178C2×C8×C11—21no—
179C2×C8×C11—21no—
180C2×C8×C11—21no—
181C2×C8×C11—21no—
182C2×C8×C11—21no—
183C2×C8×C11—21no—
184C2×C8×C11—21no—
185C2×C8×C11—21no—
186C2×C8×C11—21no—
187C2×C8×C11—21no—
188C2×C8×C11C2×D412yes—
189C11×C4⋊C4—22no—
190C11×C4⋊C4—22no—
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⋊C4—21no—
198C11×C4⋊C4—21no—
199C11×C4⋊C4—21no—
200C11×C4⋊C4—42no—
201C11×C4⋊C4—42no—
202C11×C4⋊C4—42no—
203C11×C4⋊C4—42no—
204C11×C4⋊C4—81no—
205C11×C4⋊C4—81no—
206C11×C4⋊C4#4112yes—
207C11×C22⋊C4—24no—
208C11×C22⋊C4—42no—
209C11×C22⋊C4—42no—
210C42×C11—21no—
211C42×C11—21no—
212C42×C11—21no—
213C42×C11—21no—
214C42×C11—21no—
215C42×C11—21no—
216C42×C11—42no—
217C2×#461C2×C1111yescharacteristic
218C2×C4×SD16C2×C1111yescharacteristic
219#2446C2×C1111yescharacteristic, complemented
220#2349C2×C1111yescharacteristic
221#2097C2×C1111yescharacteristic, complemented
222#2088C2×C1111yescharacteristic, complemented
223#2074C2×C1111yescharacteristic, complemented
224#2043C2×C1111yescharacteristic, complemented
225#1933C2×C1111yescharacteristic, complemented
226#1916C2×C1111yescharacteristic, complemented
227#1877C2×C1111yescharacteristic
228#1877C2×C1111yescharacteristic
229#1877C2×C1111yescharacteristic
230#1863C2×C1111yescharacteristic, complemented
231#1862C2×C1111yescharacteristic
232C23×C11—22no—
233C23×C11—22no—
234C23×C11—22no—
235C23×C11—41no—
236C23×C11—41no—
237C23×C11—41no—
238C23×C11—41no—
239C23×C11C22×D411yescharacteristic
240Q8×C11—22no—
241Q8×C11—22no—
242Q8×C11—41no—
243Q8×C11—41no—
244Q8×C11—41no—
245Q8×C11—41no—
246Q8×C11—41no—
247Q8×C11—41no—
248D4×C11—22no—
249D4×C11—22no—
250D4×C11—22no—
251D4×C11#12314yes—
252C2×C4×C11—21no—
253C2×C4×C11—21no—
254C2×C4×C11—21no—
255C2×C4×C11—21no—
256C2×C4×C11—21no—
257C2×C4×C11—21no—
258C2×C4×C11—22no—
259C2×C4×C11—21no—
260C2×C4×C11—21no—
261C2×C4×C11—22no—
262C2×C4×C11—21no—
263C2×C4×C11—21no—
264C2×C4×C11—21no—
265C2×C4×C11—21no—
266C2×C4×C11—21no—
267C2×C4×C11—21no—
268C2×C4×C11—21no—
269C2×C4×C11—21no—
270C2×C4×C11—41no—
271C2×C4×C11—41no—
272C2×C4×C11—41no—
273C2×C4×C11—41no—
274C2×C4×C11—41no—
275C2×C4×C11—41no—
276C2×C4×C11—41no—
277C2×C4×C11—41no—
278C2×C4×C11—41no—
279C2×C4×C11—41no—
280C2×C4×C11—41no—
281C2×C4×C11—41no—
282C2×C4×C11—41no—
283C2×C4×C11—41no—
284C2×C4×C11—41no—
285C2×C4×C11—41no—
286C2×C4×C11—41no—
287C2×C4×C11—41no—
288C2×C4×C11—41no—
289C2×C4×C11—84no—
290C2×C4×C11—84no—
291C2×C4×C11—84no—
292C2×C4×C11#13512yes—
293C2×C4×C11#13712yes—
294C2×C4×C11C22×D411yescharacteristic
295C2×C4×C11C2×#4111yescharacteristic
296C2×C4×C11C2×#4111yescharacteristic
297C2×C4×C11C2×#4111yescharacteristic
298C2×C4×C11H(5,𝔽2)11yescharacteristic
299C2×C4×C112−1+411yescharacteristic
300C8×C11—22no—
301C8×C11—41no—
302C8×C11—41no—
303C8×C11—41no—
304C22×SD16C22×C1111yescharacteristic
305C22×SD16C22×C1111yescharacteristic
306C2×C4⋊Q8C22×C1111yescharacteristic
307C2×C4×Q8C22×C1111yescharacteristic
308C2×C4×D4C22×C1111yescharacteristic
309C2×C4×D4C22×C1111yescharacteristic
310C2×C4×D4C22×C1111yescharacteristic
311#461—24no—
312C4×SD16—24no—
313C2×#107C22×C1111yescharacteristic
314C2×#106C22×C1111yescharacteristic
315C2×C4⋊C8C22×C1111yescharacteristic
316C2×#103C22×C1111yescharacteristic
317C2×#103C22×C1111yescharacteristic
318C2×#103C22×C1111yescharacteristic
319C2×#103C22×C1111yescharacteristic
320C2×#103C22×C1111yescharacteristic
321C2×#103C22×C1111yescharacteristic
322C2×#102C22×C1111yescharacteristic
323C2×#102C22×C1111yescharacteristic
324C2×C4×C8C22×C1111yescharacteristic
325#400—21no—
326#398—21no—
327#391C22×C1111yescharacteristic
328#391C22×C1111yescharacteristic
329#391C22×C1111yescharacteristic
330#389C22×C1111yescharacteristic
331#389C22×C1111yescharacteristic
332#389C22×C1111yescharacteristic
333#387—21no—
334#387—21no—
335#385—21no—
336#385—21no—
337#382C22×C1111yescharacteristic
338#380—21no—
339C4×C4⋊C4C22×C1111yescharacteristic
340C2×#95—21no—
341#340C22×C1111yescharacteristic
342#340C22×C1111yescharacteristic
343#340C22×C1111yescharacteristic
344#340C22×C1111yescharacteristic
345#336C22×C1111yescharacteristic
346#336C22×C1111yescharacteristic
347#336C22×C1111yescharacteristic
348#336C22×C1111yescharacteristic
349C22×C11—24no—
350C22×C11—42no—
351C22×C11—42no—
352C22×C11—42no—
353C22×C11—42no—
354C22×C11—42no—
355C22×C11—42no—
356C22×C11#52511yescharacteristic
357C22×C11D4211yescharacteristic
358C22×C11#54811yescharacteristic
359C22×C11C2×#13511yescharacteristic
360C22×C11C2×#13711yescharacteristic
361C22×C11#57711yescharacteristic
362C22×C11#57711yescharacteristic
363C4×C11—22no—
364C4×C11—22no—
365C4×C11—41no—
366C4×C11—41no—
367C4×C11—42no—
368C4×C11—42no—
369C4×C11—41no—
370C4×C11—41no—
371C4×C11—81no—
372C4×C11—81no—
373C4×C11—81no—
374C4×C11—81no—
375C4×C11—81no—
376C4×C11C2×#12311yescharacteristic
377C4×C11#53911yescharacteristic
378C4×C11#54711yescharacteristic
379C4×C11#55311yescharacteristic
380C22×Q8C23×C1111yescharacteristic
381C22×Q8C23×C1111yescharacteristic
382C22×D4C23×C1111yescharacteristic
383C23×C4—21no—
384C23×C4—21no—
385C23×C4—21no—
386C2×SD16—22no—
387C2×SD16—22no—
388C2×SD16—22no—
389C2×SD16—22no—
390C2×SD16—22no—
391C2×SD16D4×C1114yes—
392C22×C8C23×C1111yescharacteristic
393C22×C8C23×C1111yescharacteristic
394C22×C8C23×C1111yescharacteristic
395C22×C8C23×C1111yescharacteristic
396C4⋊Q8—22no—
397C4⋊Q8—41no—
398C4×Q8—22no—
399C4×Q8—41no—
400C4×D4—22no—
401C4×D4—22no—
402C4×D4—22no—
403C4×D4—22no—
404C4×D4—41no—
405C4×D4—41no—
406C2×C4⋊C4—21no—
407C2×C4⋊C4—21no—
408C2×C4⋊C4—21no—
409C2×C4⋊C4—21no—
410C2×C4⋊C4—21no—
411C2×C4⋊C4—21no—
412C2×C4⋊C4D4×C1111yescharacteristic
413C2×C4⋊C4D4×C1111yescharacteristic
414C2×C4⋊C4C23×C1111yescharacteristic
415C2×C4⋊C4C23×C1111yescharacteristic
416C2×C4⋊C4C23×C1111yescharacteristic
417C2×C4⋊C4C23×C1111yescharacteristic
418C2×C4⋊C4C23×C1111yescharacteristic
419C2×C22⋊C4—21no—
420C2×C22⋊C4—21no—
421C2×C22⋊C4—21no—
422C2×C42—21no—
423C2×C42C23×C1111yescharacteristic
424C2×C42C23×C1111yescharacteristic
425C2×C42C23×C1111yescharacteristic
426#107—41no—
427#106—22no—
428C4⋊C8—22no—
429#103—22no—
430#103—22no—
431#103—22no—
432#103—22no—
433#103—22no—
434#103—41no—
435#102—22no—
436#102—22no—
437C4×C8—22no—
438#95—21no—
439#95—21no—
440#95—21no—
441#95—21no—
442#95—21no—
443#95—21no—
444#95—21no—
445#95—21no—
446#95—21no—
447#95—21no—
448#95—21no—
449#95D4×C1111yescharacteristic
450#95D4×C1111yescharacteristic
451C2×C11—44no—
452C2×C11#244311yescharacteristic
453C2×C11#310711yescharacteristic
454C2×C11#312311yescharacteristic
455C2×C11#326611yescharacteristic
456C2×C11#328211yescharacteristic
457C2×C11#336011yescharacteristic
458C2×C11#337211yescharacteristic
459C24—21no—
460C2×Q8—21no—
461C2×Q8—21no—
462C2×Q8—21no—
463C2×Q8—21no—
464C2×Q8—21no—
465C2×Q8—21no—
466C2×Q8—21no—
467C2×Q8—21no—
468C2×Q8—21no—
469C2×Q8—21no—
470C2×Q8—21no—
471C2×Q8C2×D4×C1112yes—
472C2×D4—21no—
473C2×D4—21no—
474C2×D4—21no—
475C2×D4C2×D4×C1112yes—
476C2×D4C11×#4112yes—
477C2×D4C11×#4112yes—
478C22×C4—21no—
479C22×C4—21no—
480C22×C4—24no—
481C22×C4—21no—
482C22×C4—21no—
483C22×C4—21no—
484C22×C4—21no—
485C22×C4—21no—
486C22×C4—42no—
487C22×C4—42no—
488C22×C4—42no—
489C22×C4—42no—
490C22×C4—81no—
491C22×C4—81no—
492C22×C4—81no—
493C22×C4—81no—
494C22×C4C2×D4×C1111yescharacteristic
495C22×C4C2×D4×C1111yescharacteristic
496C22×C4C2×D4×C1111yescharacteristic
497C22×C4C2×D4×C1111yescharacteristic
498C22×C4C2×D4×C1111yescharacteristic
499C22×C4C2×D4×C1111yescharacteristic
500C22×C4C24×C1111yescharacteristic
501SD16—28no—
502SD16—44no—
503C2×C8—21no—
504C2×C8—21no—
505C2×C8—21no—
506C2×C8—21no—
507C2×C8—21no—
508C2×C8—21no—
509C2×C8—21no—
510C2×C8—21no—
511C2×C8—21no—
512C2×C8—21no—
513C2×C8—21no—
514C2×C8C2×D4×C1112yes—
515C4⋊C4—22no—
516C4⋊C4—22no—
517C4⋊C4—21no—
518C4⋊C4—21no—
519C4⋊C4—21no—
520C4⋊C4—21no—
521C4⋊C4—21no—
522C4⋊C4—21no—
523C4⋊C4—21no—
524C4⋊C4—21no—
525C4⋊C4—21no—
526C4⋊C4—42no—
527C4⋊C4—42no—
528C4⋊C4—42no—
529C4⋊C4—42no—
530C4⋊C4—81no—
531C4⋊C4—81no—
532C4⋊C4C11×#4112yes—
533C22⋊C4—24no—
534C22⋊C4—42no—
535C22⋊C4—42no—
536C42—21no—
537C42—21no—
538C42—21no—
539C42—21no—
540C42—21no—
541C42—21no—
542C42—42no—
543C11#2617011yescharacteristic, direct product factor, Sylow
544C23—22no—
545C23—22no—
546C23—22no—
547C23—41no—
548C23—41no—
549C23—41no—
550C23—41no—
551C23C22×D4×C1111yescharacteristic
552Q8—22no—
553Q8—22no—
554Q8—41no—
555Q8—41no—
556Q8—41no—
557Q8—41no—
558Q8—41no—
559Q8—41no—
560D4—22no—
561D4—22no—
562D4—22no—
563D4C11×#12314yes—
564C2×C4—21no—
565C2×C4—21no—
566C2×C4—21no—
567C2×C4—21no—
568C2×C4—21no—
569C2×C4—21no—
570C2×C4—22no—
571C2×C4—21no—
572C2×C4—21no—
573C2×C4—22no—
574C2×C4—21no—
575C2×C4—21no—
576C2×C4—21no—
577C2×C4—21no—
578C2×C4—21no—
579C2×C4—21no—
580C2×C4—21no—
581C2×C4—21no—
582C2×C4—41no—
583C2×C4—41no—
584C2×C4—41no—
585C2×C4—41no—
586C2×C4—41no—
587C2×C4—41no—
588C2×C4—41no—
589C2×C4—41no—
590C2×C4—41no—
591C2×C4—41no—
592C2×C4—41no—
593C2×C4—41no—
594C2×C4—41no—
595C2×C4—41no—
596C2×C4—41no—
597C2×C4—41no—
598C2×C4—41no—
599C2×C4—41no—
600C2×C4—41no—
601C2×C4—84no—
602C2×C4—84no—
603C2×C4—84no—
604C2×C4C11×#13512yes—
605C2×C4C11×#13712yes—
606C2×C4C22×D4×C1111yescharacteristic
607C2×C4C2×C11×#4111yescharacteristic
608C2×C4C2×C11×#4111yescharacteristic
609C2×C4C2×C11×#4111yescharacteristic
610C2×C4C11×H(5,𝔽2)11yescharacteristic
611C2×C4C11×2−1+411yescharacteristic
612C8—22no—
613C8—41no—
614C8—41no—
615C8—41no—
616C22—24no—
617C22—42no—
618C22—42no—
619C22—42no—
620C22—42no—
621C22—42no—
622C22—42no—
623C22C11×#52511yescharacteristic
624C22D42×C1111yescharacteristic
625C22C11×#54811yescharacteristic
626C22C2×C11×#13511yescharacteristic
627C22C2×C11×#13711yescharacteristic
628C22C11×#57711yescharacteristic
629C22C11×#57711yescharacteristic
630C4—22no—
631C4—22no—
632C4—42no—
633C4—41no—
634C4—41no—
635C4—41no—
636C4—41no—
637C4—42no—
638C4—81no—
639C4—81no—
640C4—81no—
641C4—81no—
642C4—81no—
643C4C2×C11×#12311yescharacteristic
644C4C11×#53911yescharacteristic
645C4C11×#54711yescharacteristic
646C4C11×#55311yescharacteristic
647C2—44no—
648C2C11×#244311yescharacteristic
649C2C11×#310711yescharacteristic
650C2C11×#312311yescharacteristic
651C2C11×#326611yescharacteristic
652C2C11×#328211yescharacteristic
653C2C11×#336011yescharacteristic
654C2C11×#337211yescharacteristic
subgroupG/H
center, socleC23×C11C22×D4
commutator, Frattini, cosocleC22×C4C24×C11
prime radicalC22×D4×C11C23
LCSG ▷ C22×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
3. C11×#2446C2semidirect
5. C11×#2097C2semidirect
6. C11×#2088C2semidirect
7. C11×#2074C2semidirect
8. C11×#2043C2semidirect
9. C11×#1933C2semidirect
10. C11×#1916C2semidirect
14. C11×#1863C2semidirect
132. #26170C11direct (N × H)
219. #2446C2×C11semidirect
221. #2097C2×C11semidirect
222. #2088C2×C11semidirect
223. #2074C2×C11semidirect
224. #2043C2×C11semidirect
225. #1933C2×C11semidirect
226. #1916C2×C11semidirect
230. #1863C2×C11semidirect
543. C11#26170direct (N × H)

Maximal subgroups

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

subgroupindex
C2×C11×#4612
C2×C4×C11×SD162
C11×#24462
C11×#23492
C11×#20972
C11×#20882
C11×#20742
C11×#20432
C11×#19332
C11×#19162
C11×#18772
C11×#18632
C11×#18622
#2617011