Finite Group Databasebeta

← C11×#27049 #14604242

Subgroups — C11×#27049 #14604242

Order 2816.

786 conjugacy classes of subgroups.

The subgroup lattice has 644 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C11×#2497C211yesmaximal, characteristic, complemented
2C11×#2361C211yesmaximal, characteristic
3C11×#2071C211yesmaximal, characteristic, complemented
4C11×#2067C211yesmaximal, characteristic, complemented
5C11×#2034C211yesmaximal, characteristic
6C11×#2034C211yesmaximal, characteristic
7C11×#1948C211yesmaximal, characteristic, complemented
8C11×#1944C211yesmaximal, characteristic, complemented
9C11×#1924C211yesmaximal, characteristic, complemented
10C11×#1920C211yesmaximal, characteristic, complemented
11C11×#1918C211yesmaximal, characteristic, complemented
12C11×#1862C211yesmaximal, characteristic, complemented
13C11×#1852C211yesmaximal, characteristic, complemented
14C11×#1824C211yesmaximal, characteristic, complemented
15C11×#1762C211yesmaximal, characteristic, complemented
16C2×C11×#121C2211yescharacteristic
17C2×C4×D4×C11—21no—
18C2×C4×D4×C11C2211yescharacteristic
19C22×C11×C4⋊C4C2211yescharacteristic
20C2×C11×#107C2211yescharacteristic
21C2×C11×#107C2211yescharacteristic
22C2×C11×#106C2211yescharacteristic
23C2×C11×#106C2211yescharacteristic
24C2×C11×C4⋊C8C2211yescharacteristic
25C2×C11×#102C2211yescharacteristic
26C2×C11×#102C2211yescharacteristic
27C2×C11×#102C2211yescharacteristic
28C2×C11×#102C2211yescharacteristic
29C2×C11×C22⋊C8C2211yescharacteristic
30C2×C11×C22⋊C8C2211yescharacteristic
31C2×C11×#97C2211yescharacteristic
32C11×#400—21no—
33C11×#396—21no—
34C11×#390C2211yescharacteristic
35C11×#389C2211yescharacteristic
36C11×#389C2211yescharacteristic
37C11×#389C2211yescharacteristic
38C11×#388—21no—
39C11×#388—21no—
40C11×#387—21no—
41C11×#386—21no—
42C11×#385—21no—
43C11×#384C2211yescharacteristic
44C11×#380C2211yescharacteristic
45C11×#380C2211yescharacteristic
46C4×C11×C4⋊C4C2211yescharacteristic
47C4×C11×C4⋊C4C2211yescharacteristic
48C4×C11×C22⋊C4C2211yescharacteristic
49C11×#340C2211yescharacteristic
50C11×#340C2211yescharacteristic
51C11×#340C2211yescharacteristic
52C11×#340C2211yescharacteristic
53C11×#340C2211yescharacteristic
54C11×#340C2211yescharacteristic
55C11×#340C2211yescharacteristic
56C11×#340C2211yescharacteristic
57C11×#336C2211yescharacteristic
58C11×#336C2211yescharacteristic
59C22×D4×C11—21no—
60C22×D4×C11C2311yescharacteristic
61C23×C4×C11—21no—
62C23×C4×C11—21no—
63C23×C4×C11C2311yescharacteristic
64C22×C8×C11C2311yescharacteristic
65C22×C8×C11C2311yescharacteristic
66C22×C8×C11C2311yescharacteristic
67C22×C8×C11C2311yescharacteristic
68C11×#121—22no—
69C11×#121—22no—
70C4×D4×C11—22no—
71C4×D4×C11—41no—
72C4×D4×C11—44no—
73C2×C11×C4⋊C4—22no—
74C2×C11×C4⋊C4—21no—
75C2×C11×C4⋊C4—21no—
76C2×C11×C4⋊C4—21no—
77C2×C11×C4⋊C4—21no—
78C2×C11×C4⋊C4—21no—
79C2×C11×C4⋊C4—21no—
80C2×C11×C4⋊C4—41no—
81C2×C11×C4⋊C4C2311yescharacteristic
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×C11×C22⋊C4—21no—
94C2×C11×C22⋊C4D411yescharacteristic
95C2×C11×C22⋊C4D411yescharacteristic
96C2×C42×C11—21no—
97C2×C42×C11—21no—
98C2×C42×C11C2311yescharacteristic
99C2×C42×C11C2311yescharacteristic
100C11×#107—22no—
101C11×#107—41no—
102C11×#106—22no—
103C11×#106—22no—
104C11×C4⋊C8—22no—
105C11×#102—22no—
106C11×#102—22no—
107C11×#102—22no—
108C11×#102—41no—
109C11×C22⋊C8—22no—
110C11×C22⋊C8—41no—
111C11×#97—41no—
112C11×#95—21no—
113C11×#95—21no—
114C11×#95—21no—
115C11×#95—21no—
116C11×#95—21no—
117C11×#95—21no—
118C11×#95—21no—
119C11×#95D411yescharacteristic
120C11×#95D411yescharacteristic
121#27049C1111yesmaximal, characteristic, direct product factor, Sylow
122C24×C11—21no—
123C24×C11C2×D411yescharacteristic
124C2×D4×C11—24no—
125C2×D4×C11—21no—
126C2×D4×C11—21no—
127C2×D4×C11—21no—
128C2×D4×C11—21no—
129C2×D4×C11—21no—
130C2×D4×C11—42no—
131C2×D4×C11—42no—
132C2×D4×C11#4112yes—
133C22×C4×C11—21no—
134C22×C4×C11—21no—
135C22×C4×C11—21no—
136C22×C4×C11—21no—
137C22×C4×C11—21no—
138C22×C4×C11—21no—
139C22×C4×C11—21no—
140C22×C4×C11—21no—
141C22×C4×C11—21no—
142C22×C4×C11—21no—
143C22×C4×C11—21no—
144C22×C4×C11—21no—
145C22×C4×C11—21no—
146C22×C4×C11—42no—
147C22×C4×C11—42no—
148C22×C4×C11—42no—
149C22×C4×C11—42no—
150C22×C4×C11—81no—
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×C11C2411yescharacteristic
158C2×C8×C11—21no—
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×C11#4112yes—
170C11×C4⋊C4—21no—
171C11×C4⋊C4—21no—
172C11×C4⋊C4—21no—
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—21no—
182C11×C4⋊C4—42no—
183C11×C4⋊C4—42no—
184C11×C4⋊C4—42no—
185C11×C4⋊C4—81no—
186C11×C4⋊C4—81no—
187C11×C4⋊C4—81no—
188C11×C4⋊C4#4112yes—
189C11×C4⋊C4#4112yes—
190C11×C22⋊C4—24no—
191C11×C22⋊C4—22no—
192C11×C22⋊C4—22no—
193C11×C22⋊C4—42no—
194C11×C22⋊C4—42no—
195C11×C22⋊C4—81no—
196C11×C22⋊C4—81no—
197C11×C22⋊C4—81no—
198C42×C11—21no—
199C42×C11—21no—
200C42×C11—21no—
201C42×C11—21no—
202C42×C11—42no—
203C42×C11—81no—
204#2497C2×C1111yescharacteristic, complemented
205#2361C2×C1111yescharacteristic
206#2071C2×C1111yescharacteristic, complemented
207#2067C2×C1111yescharacteristic, complemented
208#2034C2×C1111yescharacteristic
209#2034C2×C1111yescharacteristic
210#1948C2×C1111yescharacteristic, complemented
211#1944C2×C1111yescharacteristic, complemented
212#1924C2×C1111yescharacteristic, complemented
213#1920C2×C1111yescharacteristic, complemented
214#1918C2×C1111yescharacteristic, complemented
215#1862C2×C1111yescharacteristic, complemented
216#1852C2×C1111yescharacteristic, complemented
217#1824C2×C1111yescharacteristic, complemented
218#1762C2×C1111yescharacteristic, complemented
219C23×C11—21no—
220C23×C11—21no—
221C23×C11—21no—
222C23×C11—21no—
223C23×C11—21no—
224C23×C11—21no—
225C23×C11—22no—
226C23×C11—41no—
227C23×C11—41no—
228C23×C11—41no—
229C23×C11—41no—
230C23×C11—41no—
231C23×C11—41no—
232C23×C11#13712yes—
233C23×C11C22×D411yescharacteristic
234D4×C11—22no—
235D4×C11—22no—
236D4×C11—48no—
237D4×C11—41no—
238D4×C11—41no—
239C2×C4×C11—21no—
240C2×C4×C11—21no—
241C2×C4×C11—21no—
242C2×C4×C11—22no—
243C2×C4×C11—21no—
244C2×C4×C11—21no—
245C2×C4×C11—22no—
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—21no—
254C2×C4×C11—21no—
255C2×C4×C11—41no—
256C2×C4×C11—41no—
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—41no—
274C2×C4×C11—41no—
275C2×C4×C11—41no—
276C2×C4×C11—41no—
277C2×C4×C11—41no—
278C2×C4×C11—84no—
279C2×C4×C11—84no—
280C2×C4×C11AGL(1,ℤ/8)12yes—
281C2×C4×C11C2×#4111yescharacteristic
282C2×C4×C11C2×#4111yescharacteristic
283C2×C4×C11C2×#4111yescharacteristic
284C2×C4×C11C2×#4111yescharacteristic
285C2×C4×C11H(5,𝔽2)11yescharacteristic
286C2×C4×C112−1+411yescharacteristic
287C8×C11—22no—
288C8×C11—41no—
289C8×C11—41no—
290C8×C11—41no—
291C2×#121C22×C1111yescharacteristic
292C2×C4×D4—21no—
293C2×C4×D4C22×C1111yescharacteristic
294C22×C4⋊C4C22×C1111yescharacteristic
295C2×#107C22×C1111yescharacteristic
296C2×#107C22×C1111yescharacteristic
297C2×#106C22×C1111yescharacteristic
298C2×#106C22×C1111yescharacteristic
299C2×C4⋊C8C22×C1111yescharacteristic
300C2×#102C22×C1111yescharacteristic
301C2×#102C22×C1111yescharacteristic
302C2×#102C22×C1111yescharacteristic
303C2×#102C22×C1111yescharacteristic
304C2×C22⋊C8C22×C1111yescharacteristic
305C2×C22⋊C8C22×C1111yescharacteristic
306C2×#97C22×C1111yescharacteristic
307#400—21no—
308#396—21no—
309#390C22×C1111yescharacteristic
310#389C22×C1111yescharacteristic
311#389C22×C1111yescharacteristic
312#389C22×C1111yescharacteristic
313#388—21no—
314#388—21no—
315#387—21no—
316#386—21no—
317#385—21no—
318#384C22×C1111yescharacteristic
319#380C22×C1111yescharacteristic
320#380C22×C1111yescharacteristic
321C4×C4⋊C4C22×C1111yescharacteristic
322C4×C4⋊C4C22×C1111yescharacteristic
323C4×C22⋊C4C22×C1111yescharacteristic
324#340C22×C1111yescharacteristic
325#340C22×C1111yescharacteristic
326#340C22×C1111yescharacteristic
327#340C22×C1111yescharacteristic
328#340C22×C1111yescharacteristic
329#340C22×C1111yescharacteristic
330#340C22×C1111yescharacteristic
331#340C22×C1111yescharacteristic
332#336C22×C1111yescharacteristic
333#336C22×C1111yescharacteristic
334C22×C11—22no—
335C22×C11—22no—
336C22×C11—22no—
337C22×C11—41no—
338C22×C11—41no—
339C22×C11—41no—
340C22×C11—41no—
341C22×C11—42no—
342C22×C11—42no—
343C22×C11—42no—
344C22×C11—81no—
345C22×C11—81no—
346C22×C11—81no—
347C22×C11—81no—
348C22×C11#52511yescharacteristic
349C22×C11#54611yescharacteristic
350C22×C11#54711yescharacteristic
351C22×C11C2×AGL(1,ℤ/8)11yescharacteristic
352C22×C11C2×#13711yescharacteristic
353C22×C11#57611yescharacteristic
354C22×C11#57711yescharacteristic
355C4×C11—22no—
356C4×C11—41no—
357C4×C11—42no—
358C4×C11—41no—
359C4×C11—41no—
360C4×C11—41no—
361C4×C11—42no—
362C4×C11—81no—
363C4×C11—81no—
364C4×C11—81no—
365C4×C11—81no—
366C4×C11—81no—
367C4×C11#52911yescharacteristic
368C4×C11#53911yescharacteristic
369C4×C11#55311yescharacteristic
370C4×C11#55611yescharacteristic
371C22×D4—21no—
372C22×D4C23×C1111yescharacteristic
373C23×C4—21no—
374C23×C4—21no—
375C23×C4C23×C1111yescharacteristic
376C22×C8C23×C1111yescharacteristic
377C22×C8C23×C1111yescharacteristic
378C22×C8C23×C1111yescharacteristic
379C22×C8C23×C1111yescharacteristic
380#121—22no—
381#121—22no—
382C4×D4—22no—
383C4×D4—41no—
384C4×D4—44no—
385C2×C4⋊C4—22no—
386C2×C4⋊C4—21no—
387C2×C4⋊C4—21no—
388C2×C4⋊C4—21no—
389C2×C4⋊C4—21no—
390C2×C4⋊C4—21no—
391C2×C4⋊C4—21no—
392C2×C4⋊C4—41no—
393C2×C4⋊C4C23×C1111yescharacteristic
394C2×C4⋊C4C23×C1111yescharacteristic
395C2×C4⋊C4C23×C1111yescharacteristic
396C2×C4⋊C4C23×C1111yescharacteristic
397C2×C4⋊C4C23×C1111yescharacteristic
398C2×C4⋊C4C23×C1111yescharacteristic
399C2×C4⋊C4C23×C1111yescharacteristic
400C2×C22⋊C4—21no—
401C2×C22⋊C4—21no—
402C2×C22⋊C4—21no—
403C2×C22⋊C4—21no—
404C2×C22⋊C4—21no—
405C2×C22⋊C4—21no—
406C2×C22⋊C4D4×C1111yescharacteristic
407C2×C22⋊C4D4×C1111yescharacteristic
408C2×C42—21no—
409C2×C42—21no—
410C2×C42C23×C1111yescharacteristic
411C2×C42C23×C1111yescharacteristic
412#107—22no—
413#107—41no—
414#106—22no—
415#106—22no—
416C4⋊C8—22no—
417#102—22no—
418#102—22no—
419#102—22no—
420#102—41no—
421C22⋊C8—22no—
422C22⋊C8—41no—
423#97—41no—
424#95—21no—
425#95—21no—
426#95—21no—
427#95—21no—
428#95—21no—
429#95—21no—
430#95—21no—
431#95D4×C1111yescharacteristic
432#95D4×C1111yescharacteristic
433C2×C11—42no—
434C2×C11—82no—
435C2×C11#246611yescharacteristic
436C2×C11#311011yescharacteristic
437C2×C11#311911yescharacteristic
438C2×C11#331611yescharacteristic
439C2×C11#332511yescharacteristic
440C2×C11#334511yescharacteristic
441C2×C11#334611yescharacteristic
442C24—21no—
443C24C2×D4×C1111yescharacteristic
444C2×D4—24no—
445C2×D4—21no—
446C2×D4—21no—
447C2×D4—21no—
448C2×D4—21no—
449C2×D4—21no—
450C2×D4—42no—
451C2×D4—42no—
452C2×D4C11×#4112yes—
453C22×C4—21no—
454C22×C4—21no—
455C22×C4—21no—
456C22×C4—21no—
457C22×C4—21no—
458C22×C4—21no—
459C22×C4—21no—
460C22×C4—21no—
461C22×C4—21no—
462C22×C4—21no—
463C22×C4—21no—
464C22×C4—21no—
465C22×C4—21no—
466C22×C4—42no—
467C22×C4—42no—
468C22×C4—42no—
469C22×C4—42no—
470C22×C4—81no—
471C22×C4—81no—
472C22×C4C2×D4×C1111yescharacteristic
473C22×C4C2×D4×C1111yescharacteristic
474C22×C4C2×D4×C1111yescharacteristic
475C22×C4C2×D4×C1111yescharacteristic
476C22×C4C2×D4×C1111yescharacteristic
477C22×C4C24×C1111yescharacteristic
478C2×C8—21no—
479C2×C8—21no—
480C2×C8—21no—
481C2×C8—21no—
482C2×C8—21no—
483C2×C8—21no—
484C2×C8—21no—
485C2×C8—21no—
486C2×C8—21no—
487C2×C8—21no—
488C2×C8—21no—
489C2×C8C11×#4112yes—
490C4⋊C4—21no—
491C4⋊C4—21no—
492C4⋊C4—21no—
493C4⋊C4—21no—
494C4⋊C4—21no—
495C4⋊C4—21no—
496C4⋊C4—21no—
497C4⋊C4—21no—
498C4⋊C4—21no—
499C4⋊C4—21no—
500C4⋊C4—21no—
501C4⋊C4—21no—
502C4⋊C4—42no—
503C4⋊C4—42no—
504C4⋊C4—42no—
505C4⋊C4—81no—
506C4⋊C4—81no—
507C4⋊C4—81no—
508C4⋊C4C11×#4112yes—
509C4⋊C4C11×#4112yes—
510C22⋊C4—24no—
511C22⋊C4—22no—
512C22⋊C4—22no—
513C22⋊C4—42no—
514C22⋊C4—42no—
515C22⋊C4—81no—
516C22⋊C4—81no—
517C22⋊C4—81no—
518C42—21no—
519C42—21no—
520C42—21no—
521C42—21no—
522C42—42no—
523C42—81no—
524C11#2704911yescharacteristic, direct product factor, Sylow
525C23—21no—
526C23—21no—
527C23—21no—
528C23—21no—
529C23—21no—
530C23—21no—
531C23—22no—
532C23—41no—
533C23—41no—
534C23—41no—
535C23—41no—
536C23—41no—
537C23—41no—
538C23C11×#13712yes—
539C23C22×D4×C1111yescharacteristic
540D4—22no—
541D4—22no—
542D4—48no—
543D4—41no—
544D4—41no—
545C2×C4—21no—
546C2×C4—21no—
547C2×C4—21no—
548C2×C4—22no—
549C2×C4—21no—
550C2×C4—21no—
551C2×C4—22no—
552C2×C4—21no—
553C2×C4—21no—
554C2×C4—21no—
555C2×C4—21no—
556C2×C4—21no—
557C2×C4—21no—
558C2×C4—21no—
559C2×C4—21no—
560C2×C4—21no—
561C2×C4—41no—
562C2×C4—41no—
563C2×C4—41no—
564C2×C4—41no—
565C2×C4—41no—
566C2×C4—41no—
567C2×C4—41no—
568C2×C4—41no—
569C2×C4—41no—
570C2×C4—41no—
571C2×C4—41no—
572C2×C4—41no—
573C2×C4—41no—
574C2×C4—41no—
575C2×C4—41no—
576C2×C4—41no—
577C2×C4—41no—
578C2×C4—41no—
579C2×C4—41no—
580C2×C4—41no—
581C2×C4—41no—
582C2×C4—41no—
583C2×C4—41no—
584C2×C4—84no—
585C2×C4—84no—
586C2×C4C11×AGL(1,ℤ/8)12yes—
587C2×C4C2×C11×#4111yescharacteristic
588C2×C4C2×C11×#4111yescharacteristic
589C2×C4C2×C11×#4111yescharacteristic
590C2×C4C2×C11×#4111yescharacteristic
591C2×C4C11×H(5,𝔽2)11yescharacteristic
592C2×C4C11×2−1+411yescharacteristic
593C8—22no—
594C8—41no—
595C8—41no—
596C8—41no—
597C22—22no—
598C22—22no—
599C22—22no—
600C22—41no—
601C22—41no—
602C22—41no—
603C22—41no—
604C22—42no—
605C22—42no—
606C22—42no—
607C22—81no—
608C22—81no—
609C22—81no—
610C22—81no—
611C22C11×#52511yescharacteristic
612C22C11×#54611yescharacteristic
613C22C11×#54711yescharacteristic
614C22C2×C11×AGL(1,ℤ/8)11yescharacteristic
615C22C2×C11×#13711yescharacteristic
616C22C11×#57611yescharacteristic
617C22C11×#57711yescharacteristic
618C4—22no—
619C4—41no—
620C4—41no—
621C4—41no—
622C4—42no—
623C4—41no—
624C4—42no—
625C4—81no—
626C4—81no—
627C4—81no—
628C4—81no—
629C4—81no—
630C4C11×#52911yescharacteristic
631C4C11×#53911yescharacteristic
632C4C11×#55311yescharacteristic
633C4C11×#55611yescharacteristic
634C2—42no—
635C2—82no—
636C2C11×#246611yescharacteristic
637C2C11×#311011yescharacteristic
638C2C11×#311911yescharacteristic
639C2C11×#331611yescharacteristic
640C2C11×#332511yescharacteristic
641C2C11×#334511yescharacteristic
642C2C11×#334611yescharacteristic
subgroupG/H
center, socleC23×C11C22×D4
commutator, Frattini, cosocleC22×C4C24×C11
prime radicalC2×C11×#121C22
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C23×C11 ◁ C4×C11×C22⋊C4 ◁ G

Complements

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

NH ≅ G/Ntype
1. C11×#2497C2semidirect
3. C11×#2071C2semidirect
4. C11×#2067C2semidirect
7. C11×#1948C2semidirect
8. C11×#1944C2semidirect
9. C11×#1924C2semidirect
10. C11×#1920C2semidirect
11. C11×#1918C2semidirect
12. C11×#1862C2semidirect
13. C11×#1852C2semidirect
14. C11×#1824C2semidirect
15. C11×#1762C2semidirect
121. #27049C11direct (N × H)
204. #2497C2×C11semidirect
206. #2071C2×C11semidirect
207. #2067C2×C11semidirect
210. #1948C2×C11semidirect
211. #1944C2×C11semidirect
212. #1924C2×C11semidirect
213. #1920C2×C11semidirect
214. #1918C2×C11semidirect
215. #1862C2×C11semidirect
216. #1852C2×C11semidirect
217. #1824C2×C11semidirect
218. #1762C2×C11semidirect
524. C11#27049direct (N × H)

Maximal subgroups

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

subgroupindex
C11×#24972
C11×#23612
C11×#20712
C11×#20672
C11×#20342
C11×#19482
C11×#19442
C11×#19242
C11×#19202
C11×#19182
C11×#18622
C11×#18522
C11×#18242
C11×#17622
#2704911