Finite Group Databasebeta

← C11×#32907 #14610100

Subgroups — C11×#32907 #14610100

Order 2816.

1468 conjugacy classes of subgroups.

The subgroup lattice has 670 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C4×C11×#41C211yesmaximal, characteristic
2C2×C11×#462C211yesmaximal, characteristic, complemented
3C2×C11×#461C211yesmaximal, characteristic, complemented
4C2×C11×#452C212yesmaximal
5C11×#2857C211yesmaximal, characteristic, complemented
6C11×#1878C212yesmaximal, complemented
7C11×#1877C212yesmaximal, complemented
8C11×#1873C212yesmaximal, complemented
9C11×#1803C211yesmaximal, characteristic, complemented
10C11×#1802C211yesmaximal, characteristic, complemented
11C11×#1797C211yesmaximal, characteristic, complemented
12C22×C11×#41C2211yescharacteristic
13C22×C11×Q16C2212yes—
14C22×C11×SD16C2212yes—
15C2×C11×C4⋊Q8C2211yescharacteristic
16C2×C11×C22⋊Q8C2212yes—
17C4×C11×#41—24no—
18C4×C11×#41—24no—
19C2×C4×Q8×C11C2211yescharacteristic
20C2×C4×Q8×C11C2211yescharacteristic
21C2×C4×D4×C11—21no—
22C2×C4×D4×C11—21no—
23C2×C4×D4×C11C2211yescharacteristic
24C2×C4×D4×C11C2211yescharacteristic
25C2×C11×#117—21no—
26C2×C11×#117C2211yescharacteristic
27C22×C42×C11—21no—
28C22×C42×C11C2211yescharacteristic
29C11×#462—24no—
30C11×#461—24no—
31C11×#452—28no—
32C2×C11×C4⋊C8C2211yescharacteristic
33C2×C11×C4⋊C8C2211yescharacteristic
34C2×C11×#103C2212yes—
35C2×C11×#103C2212yes—
36C2×C11×#103C2212yes—
37C2×C11×#102C2212yes—
38C2×C11×C22⋊C8C2212yes—
39C11×#391C2212yes—
40C11×#389—21no—
41C11×#389—21no—
42C11×#384C2211yescharacteristic
43C11×#380—21no—
44C11×#380—21no—
45C11×#340C2212yes—
46C11×#340C2212yes—
47C11×#336C2212yes—
48C2×C11×#41—22no—
49C2×C11×#41—22no—
50C2×C11×#41—22no—
51C2×C11×#41—22no—
52C2×C11×#41—22no—
53C2×C11×#41D414yes—
54C22×Q8×C11C2312yes—
55C22×Q8×C11C2311yescharacteristic
56C22×D4×C11—21no—
57C22×D4×C11C2311yescharacteristic
58C23×C4×C11—21no—
59C23×C4×C11—21no—
60C23×C4×C11—21no—
61C23×C4×C11D411yescharacteristic
62C23×C4×C11D411yescharacteristic
63C23×C4×C11C2311yescharacteristic
64C2×C11×Q16—24no—
65C2×C11×Q16—24no—
66C2×C11×Q16—24no—
67C2×C11×SD16—24no—
68C2×C11×SD16—24no—
69C2×C11×SD16—24no—
70C22×C8×C11C2312yes—
71C22×C8×C11C2312yes—
72C11×C4⋊Q8—22no—
73C11×C4⋊Q8—22no—
74C11×C22⋊Q8—24no—
75C11×C22⋊Q8—24no—
76C4×Q8×C11—22no—
77C4×Q8×C11—22no—
78C4×Q8×C11—22no—
79C4×Q8×C11D414yes—
80C4×D4×C11—28no—
81C4×D4×C11—28no—
82C4×D4×C11—22no—
83C4×D4×C11—22no—
84C4×D4×C11—22no—
85C4×D4×C11D414yes—
86C11×#117—28no—
87C11×#117—22no—
88C11×#117—22no—
89C2×C11×C4⋊C4—21no—
90C2×C11×C4⋊C4—21no—
91C2×C11×C4⋊C4—21no—
92C2×C11×C4⋊C4—21no—
93C2×C11×C4⋊C4—21no—
94C2×C11×C4⋊C4—21no—
95C2×C11×C4⋊C4—22no—
96C2×C11×C4⋊C4C2312yes—
97C2×C11×C4⋊C4C2311yescharacteristic
98C2×C11×C4⋊C4C2311yescharacteristic
99C2×C11×C22⋊C4—21no—
100C2×C11×C22⋊C4—21no—
101C2×C11×C22⋊C4—21no—
102C2×C11×C22⋊C4—22no—
103C2×C42×C11—28no—
104C2×C42×C11—21no—
105C2×C42×C11—21no—
106C2×C42×C11—21no—
107C2×C42×C11—22no—
108C2×C42×C11—22no—
109C2×C42×C11D411yescharacteristic
110C2×C42×C11D411yescharacteristic
111C2×C42×C11C2311yescharacteristic
112C2×C42×C11C2311yescharacteristic
113C11×C4⋊C8—22no—
114C11×C4⋊C8—22no—
115C11×#103—24no—
116C11×#103—24no—
117C11×#103—24no—
118C11×#102—24no—
119C11×C22⋊C8—24no—
120C11×#95—22no—
121C11×#95—22no—
122#32907C1111yesmaximal, characteristic, direct product factor, Sylow
123C24×C11—21no—
124C24×C11C2×D411yescharacteristic
125C11×#41—28no—
126C11×#41—28no—
127C11×#41—28no—
128C11×#41—28no—
129C2×Q8×C11—21no—
130C2×Q8×C11—21no—
131C2×Q8×C11—21no—
132C2×Q8×C11—22no—
133C2×Q8×C11—22no—
134C2×Q8×C11—22no—
135C2×Q8×C11—22no—
136C2×Q8×C11—22no—
137C2×Q8×C11—22no—
138C2×Q8×C11C2×D412yes—
139C2×Q8×C11C2×D412yes—
140C2×Q8×C11#4112yes—
141C2×D4×C11—24no—
142C2×D4×C11—24no—
143C2×D4×C11—24no—
144C2×D4×C11—21no—
145C2×D4×C11—21no—
146C2×D4×C11—21no—
147C2×D4×C11C2×D412yes—
148C2×D4×C11C2×D412yes—
149C2×D4×C11#4112yes—
150C22×C4×C11—24no—
151C22×C4×C11—24no—
152C22×C4×C11—21no—
153C22×C4×C11—24no—
154C22×C4×C11—21no—
155C22×C4×C11—21no—
156C22×C4×C11—21no—
157C22×C4×C11—21no—
158C22×C4×C11—24no—
159C22×C4×C11—21no—
160C22×C4×C11—21no—
161C22×C4×C11—22no—
162C22×C4×C11—22no—
163C22×C4×C11—24no—
164C22×C4×C11—22no—
165C22×C4×C11—22no—
166C22×C4×C11—22no—
167C22×C4×C11—22no—
168C22×C4×C11—22no—
169C22×C4×C11—41no—
170C22×C4×C11—42no—
171C22×C4×C11—42no—
172C22×C4×C11—42no—
173C22×C4×C11—42no—
174C22×C4×C11C2×D411yescharacteristic
175C22×C4×C11C2×D411yescharacteristic
176C22×C4×C11C2×D411yescharacteristic
177C22×C4×C11C2×D412yes—
178C22×C4×C11C2×D411yescharacteristic
179C22×C4×C11C2×D411yescharacteristic
180C22×C4×C11#4112yes—
181C22×C4×C11C2411yescharacteristic
182C11×Q16—48no—
183C11×SD16—48no—
184C2×C8×C11—22no—
185C2×C8×C11—22no—
186C2×C8×C11—22no—
187C2×C8×C11—22no—
188C2×C8×C11—22no—
189C2×C8×C11—22no—
190C11×C4⋊C4—24no—
191C11×C4⋊C4—24no—
192C11×C4⋊C4—21no—
193C11×C4⋊C4—21no—
194C11×C4⋊C4—22no—
195C11×C4⋊C4—22no—
196C11×C4⋊C4—42no—
197C11×C4⋊C4—42no—
198C11×C4⋊C4—42no—
199C11×C4⋊C4—44no—
200C11×C4⋊C4—42no—
201C11×C4⋊C4C2×D412yes—
202C11×C4⋊C4C2×D412yes—
203C11×C22⋊C4—24no—
204C11×C22⋊C4—24no—
205C11×C22⋊C4—24no—
206C11×C22⋊C4—44no—
207C42×C11—24no—
208C42×C11—24no—
209C42×C11—22no—
210C42×C11—24no—
211C42×C11—22no—
212C42×C11—21no—
213C42×C11—21no—
214C42×C11C2×D412yes—
215C42×C11C2×D412yes—
216C2×C4×#41C2×C1111yescharacteristic
217C2×#462C2×C1111yescharacteristic, complemented
218C2×#461C2×C1111yescharacteristic, complemented
219C2×#452C2×C1112yes—
220#2857C2×C1111yescharacteristic, complemented
221#1878C2×C1112yescomplemented
222#1877C2×C1112yescomplemented
223#1873C2×C1112yescomplemented
224#1803C2×C1111yescharacteristic, complemented
225#1802C2×C1111yescharacteristic, complemented
226#1797C2×C1111yescharacteristic, complemented
227C23×C11—21no—
228C23×C11—22no—
229C23×C11—22no—
230C23×C11—21no—
231C23×C11—22no—
232C23×C11—21no—
233C23×C11—21no—
234C23×C11—21no—
235C23×C11—21no—
236C23×C11—41no—
237C23×C11—41no—
238C23×C11—41no—
239C23×C11—41no—
240C23×C11#12112yes—
241C23×C11C22×D411yescharacteristic
242Q8×C11—22no—
243Q8×C11—22no—
244Q8×C11—22no—
245Q8×C11—42no—
246Q8×C11—42no—
247Q8×C11—42no—
248Q8×C11—42no—
249Q8×C11#12114yes—
250D4×C11—216no—
251D4×C11—22no—
252D4×C11—22no—
253D4×C11—22no—
254D4×C11#12114yes—
255C2×C4×C11—216no—
256C2×C4×C11—21no—
257C2×C4×C11—21no—
258C2×C4×C11—22no—
259C2×C4×C11—22no—
260C2×C4×C11—21no—
261C2×C4×C11—22no—
262C2×C4×C11—21no—
263C2×C4×C11—21no—
264C2×C4×C11—21no—
265C2×C4×C11—22no—
266C2×C4×C11—22no—
267C2×C4×C11—22no—
268C2×C4×C11—22no—
269C2×C4×C11—21no—
270C2×C4×C11—22no—
271C2×C4×C11—22no—
272C2×C4×C11—21no—
273C2×C4×C11—21no—
274C2×C4×C11—44no—
275C2×C4×C11—48no—
276C2×C4×C11—41no—
277C2×C4×C11—41no—
278C2×C4×C11—41no—
279C2×C4×C11—41no—
280C2×C4×C11—44no—
281C2×C4×C11—48no—
282C2×C4×C11—42no—
283C2×C4×C11—42no—
284C2×C4×C11—42no—
285C2×C4×C11—42no—
286C2×C4×C11—42no—
287C2×C4×C11—42no—
288C2×C4×C11#12012yes—
289C2×C4×C11#12012yes—
290C2×C4×C11#12112yes—
291C2×C4×C11#13512yes—
292C2×C4×C11#13712yes—
293C2×C4×C11#13712yes—
294C2×C4×C11C22×D411yescharacteristic
295C2×C4×C11C22×D411yescharacteristic
296C2×C4×C11C22×D411yescharacteristic
297C2×C4×C11C2×#4111yescharacteristic
298C2×C4×C11C2×#4111yescharacteristic
299C2×C4×C11C2×#4111yescharacteristic
300C8×C11—42no—
301C8×C11—42no—
302C22×#41C22×C1111yescharacteristic
303C22×Q16C22×C1112yes—
304C22×SD16C22×C1112yes—
305C2×C4⋊Q8C22×C1111yescharacteristic
306C2×C22⋊Q8C22×C1112yes—
307C4×#41—24no—
308C4×#41—24no—
309C2×C4×Q8C22×C1111yescharacteristic
310C2×C4×Q8C22×C1111yescharacteristic
311C2×C4×D4—21no—
312C2×C4×D4—21no—
313C2×C4×D4C22×C1111yescharacteristic
314C2×C4×D4C22×C1111yescharacteristic
315C2×#117—21no—
316C2×#117C22×C1111yescharacteristic
317C22×C42—21no—
318C22×C42C22×C1111yescharacteristic
319#462—24no—
320#461—24no—
321#452—28no—
322C2×C4⋊C8C22×C1111yescharacteristic
323C2×C4⋊C8C22×C1111yescharacteristic
324C2×#103C22×C1112yes—
325C2×#103C22×C1112yes—
326C2×#103C22×C1112yes—
327C2×#102C22×C1112yes—
328C2×C22⋊C8C22×C1112yes—
329#391C22×C1112yes—
330#389—21no—
331#389—21no—
332#384C22×C1111yescharacteristic
333#380—21no—
334#380—21no—
335#340C22×C1112yes—
336#340C22×C1112yes—
337#336C22×C1112yes—
338C22×C11—22no—
339C22×C11—24no—
340C22×C11—22no—
341C22×C11—22no—
342C22×C11—41no—
343C22×C11—42no—
344C22×C11—41no—
345C22×C11—42no—
346C22×C11—41no—
347C22×C11—42no—
348C22×C11—41no—
349C22×C11—42no—
350C22×C11—42no—
351C22×C11—42no—
352C22×C11C2×#12011yescharacteristic
353C22×C11C2×#12111yescharacteristic
354C22×C11#52511yescharacteristic
355C22×C11C2×#13511yescharacteristic
356C22×C11C2×#13711yescharacteristic
357C22×C11C2×#13711yescharacteristic
358C22×C11#57511yescharacteristic
359C4×C11—22no—
360C4×C11—24no—
361C4×C11—22no—
362C4×C11—22no—
363C4×C11—41no—
364C4×C11—42no—
365C4×C11—42no—
366C4×C11—82no—
367C4×C11—82no—
368C4×C11#45214yescomplemented
369C4×C11C2×#12111yescharacteristic
370C4×C11C2×#12111yescharacteristic
371C4×C11#52511yescharacteristic
372C4×C11#52511yescharacteristic
373C2×#41—22no—
374C2×#41—22no—
375C2×#41—22no—
376C2×#41—22no—
377C2×#41—22no—
378C2×#41D4×C1114yes—
379C22×Q8C23×C1112yes—
380C22×Q8C23×C1111yescharacteristic
381C22×D4—21no—
382C22×D4C23×C1111yescharacteristic
383C23×C4—21no—
384C23×C4—21no—
385C23×C4—21no—
386C23×C4D4×C1111yescharacteristic
387C23×C4D4×C1111yescharacteristic
388C23×C4C23×C1111yescharacteristic
389C2×Q16—24no—
390C2×Q16—24no—
391C2×Q16—24no—
392C2×SD16—24no—
393C2×SD16—24no—
394C2×SD16—24no—
395C22×C8C23×C1112yes—
396C22×C8C23×C1112yes—
397C4⋊Q8—22no—
398C4⋊Q8—22no—
399C22⋊Q8—24no—
400C22⋊Q8—24no—
401C4×Q8—22no—
402C4×Q8—22no—
403C4×Q8—22no—
404C4×Q8D4×C1114yes—
405C4×D4—28no—
406C4×D4—28no—
407C4×D4—22no—
408C4×D4—22no—
409C4×D4—22no—
410C4×D4D4×C1114yes—
411#117—28no—
412#117—22no—
413#117—22no—
414C2×C4⋊C4—21no—
415C2×C4⋊C4—21no—
416C2×C4⋊C4—22no—
417C2×C4⋊C4—21no—
418C2×C4⋊C4—21no—
419C2×C4⋊C4—21no—
420C2×C4⋊C4—21no—
421C2×C4⋊C4C23×C1112yes—
422C2×C4⋊C4C23×C1111yescharacteristic
423C2×C4⋊C4C23×C1111yescharacteristic
424C2×C22⋊C4—21no—
425C2×C22⋊C4—21no—
426C2×C22⋊C4—21no—
427C2×C22⋊C4—22no—
428C2×C42—28no—
429C2×C42—21no—
430C2×C42—21no—
431C2×C42—21no—
432C2×C42—22no—
433C2×C42—22no—
434C2×C42D4×C1111yescharacteristic
435C2×C42D4×C1111yescharacteristic
436C2×C42C23×C1111yescharacteristic
437C2×C42C23×C1111yescharacteristic
438C4⋊C8—22no—
439C4⋊C8—22no—
440#103—24no—
441#103—24no—
442#103—24no—
443#102—24no—
444C22⋊C8—24no—
445#95—22no—
446#95—22no—
447C2×C11—42no—
448C2×C11—44no—
449C2×C11#284711yescharacteristic
450C2×C11C2×#45211yescharacteristic
451C2×C11#300711yescharacteristic
452C2×C11#303511yescharacteristic
453C2×C11#303911yescharacteristic
454C2×C11#310711yescharacteristic
455C2×C11#311611yescharacteristic
456C24—21no—
457C24C2×D4×C1111yescharacteristic
458#41—28no—
459#41—28no—
460#41—28no—
461#41—28no—
462C2×Q8—21no—
463C2×Q8—21no—
464C2×Q8—21no—
465C2×Q8—22no—
466C2×Q8—22no—
467C2×Q8—22no—
468C2×Q8—22no—
469C2×Q8—22no—
470C2×Q8—22no—
471C2×Q8C2×D4×C1112yes—
472C2×Q8C2×D4×C1112yes—
473C2×Q8C11×#4112yes—
474C2×D4—24no—
475C2×D4—24no—
476C2×D4—24no—
477C2×D4—21no—
478C2×D4—21no—
479C2×D4—21no—
480C2×D4C2×D4×C1112yes—
481C2×D4C2×D4×C1112yes—
482C2×D4C11×#4112yes—
483C22×C4—24no—
484C22×C4—24no—
485C22×C4—21no—
486C22×C4—24no—
487C22×C4—21no—
488C22×C4—21no—
489C22×C4—21no—
490C22×C4—21no—
491C22×C4—24no—
492C22×C4—21no—
493C22×C4—21no—
494C22×C4—22no—
495C22×C4—22no—
496C22×C4—24no—
497C22×C4—22no—
498C22×C4—22no—
499C22×C4—22no—
500C22×C4—22no—
501C22×C4—22no—
502C22×C4—41no—
503C22×C4—42no—
504C22×C4—42no—
505C22×C4—42no—
506C22×C4—42no—
507C22×C4C2×D4×C1111yescharacteristic
508C22×C4C2×D4×C1111yescharacteristic
509C22×C4C2×D4×C1111yescharacteristic
510C22×C4C2×D4×C1112yes—
511C22×C4C2×D4×C1111yescharacteristic
512C22×C4C2×D4×C1111yescharacteristic
513C22×C4C11×#4112yes—
514C22×C4C24×C1111yescharacteristic
515Q16—48no—
516SD16—48no—
517C2×C8—22no—
518C2×C8—22no—
519C2×C8—22no—
520C2×C8—22no—
521C2×C8—22no—
522C2×C8—22no—
523C4⋊C4—24no—
524C4⋊C4—24no—
525C4⋊C4—21no—
526C4⋊C4—21no—
527C4⋊C4—22no—
528C4⋊C4—22no—
529C4⋊C4—42no—
530C4⋊C4—42no—
531C4⋊C4—42no—
532C4⋊C4—44no—
533C4⋊C4—42no—
534C4⋊C4C2×D4×C1112yes—
535C4⋊C4C2×D4×C1112yes—
536C22⋊C4—24no—
537C22⋊C4—24no—
538C22⋊C4—24no—
539C22⋊C4—44no—
540C42—24no—
541C42—24no—
542C42—22no—
543C42—24no—
544C42—22no—
545C42—21no—
546C42—21no—
547C42C2×D4×C1112yes—
548C42C2×D4×C1112yes—
549C11#3290711yescharacteristic, direct product factor, Sylow
550C23—21no—
551C23—22no—
552C23—22no—
553C23—21no—
554C23—22no—
555C23—21no—
556C23—21no—
557C23—21no—
558C23—21no—
559C23—41no—
560C23—41no—
561C23—41no—
562C23—41no—
563C23C11×#12112yes—
564C23C22×D4×C1111yescharacteristic
565Q8—22no—
566Q8—22no—
567Q8—22no—
568Q8—42no—
569Q8—42no—
570Q8—42no—
571Q8—42no—
572Q8C11×#12114yes—
573D4—216no—
574D4—22no—
575D4—22no—
576D4—22no—
577D4C11×#12114yes—
578C2×C4—216no—
579C2×C4—21no—
580C2×C4—21no—
581C2×C4—22no—
582C2×C4—22no—
583C2×C4—21no—
584C2×C4—22no—
585C2×C4—21no—
586C2×C4—21no—
587C2×C4—21no—
588C2×C4—22no—
589C2×C4—22no—
590C2×C4—22no—
591C2×C4—22no—
592C2×C4—21no—
593C2×C4—22no—
594C2×C4—22no—
595C2×C4—21no—
596C2×C4—21no—
597C2×C4—44no—
598C2×C4—48no—
599C2×C4—41no—
600C2×C4—41no—
601C2×C4—41no—
602C2×C4—41no—
603C2×C4—44no—
604C2×C4—48no—
605C2×C4—42no—
606C2×C4—42no—
607C2×C4—42no—
608C2×C4—42no—
609C2×C4—42no—
610C2×C4—42no—
611C2×C4C11×#12012yes—
612C2×C4C11×#12012yes—
613C2×C4C11×#12112yes—
614C2×C4C11×#13512yes—
615C2×C4C11×#13712yes—
616C2×C4C11×#13712yes—
617C2×C4C22×D4×C1111yescharacteristic
618C2×C4C22×D4×C1111yescharacteristic
619C2×C4C22×D4×C1111yescharacteristic
620C2×C4C2×C11×#4111yescharacteristic
621C2×C4C2×C11×#4111yescharacteristic
622C2×C4C2×C11×#4111yescharacteristic
623C8—42no—
624C8—42no—
625C22—22no—
626C22—22no—
627C22—22no—
628C22—24no—
629C22—41no—
630C22—42no—
631C22—41no—
632C22—42no—
633C22—42no—
634C22—42no—
635C22—41no—
636C22—42no—
637C22—41no—
638C22—42no—
639C22C2×C11×#12011yescharacteristic
640C22C2×C11×#12111yescharacteristic
641C22C11×#52511yescharacteristic
642C22C2×C11×#13511yescharacteristic
643C22C2×C11×#13711yescharacteristic
644C22C2×C11×#13711yescharacteristic
645C22C11×#57511yescharacteristic
646C4—22no—
647C4—22no—
648C4—22no—
649C4—24no—
650C4—41no—
651C4—42no—
652C4—42no—
653C4—82no—
654C4—82no—
655C4C11×#45214yescomplemented
656C4C2×C11×#12111yescharacteristic
657C4C2×C11×#12111yescharacteristic
658C4C11×#52511yescharacteristic
659C4C11×#52511yescharacteristic
660C2—42no—
661C2—44no—
662C2C11×#284711yescharacteristic
663C2C2×C11×#45211yescharacteristic
664C2C11×#300711yescharacteristic
665C2C11×#303511yescharacteristic
666C2C11×#303911yescharacteristic
667C2C11×#310711yescharacteristic
668C2C11×#311611yescharacteristic
subgroupG/H
center, socleC23×C11C22×D4
commutator, Frattini, cosocleC22×C4C24×C11
prime radicalC22×C11×#41C22
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C23×C11 ◁ C22×C42×C11 ◁ G

Complements

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

NH ≅ G/Ntype
2. C2×C11×#462C2semidirect
3. C2×C11×#461C2semidirect
5. C11×#2857C2semidirect
6. C11×#1878C2semidirect
7. C11×#1877C2semidirect
8. C11×#1873C2semidirect
9. C11×#1803C2semidirect
10. C11×#1802C2semidirect
11. C11×#1797C2semidirect
122. #32907C11direct (N × H)
217. C2×#462C2×C11semidirect
218. C2×#461C2×C11semidirect
220. #2857C2×C11semidirect
221. #1878C2×C11semidirect
222. #1877C2×C11semidirect
223. #1873C2×C11semidirect
224. #1803C2×C11semidirect
225. #1802C2×C11semidirect
226. #1797C2×C11semidirect
368. C4×C11#452semidirect
549. C11#32907direct (N × H)
655. C4C11×#452semidirect

Maximal subgroups

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

subgroupindex
C2×C4×C11×#412
C2×C11×#4622
C2×C11×#4612
C2×C11×#4522
C11×#28572
C11×#18782
C11×#18772
C11×#18732
C11×#18032
C11×#18022
C11×#17972
#3290711