Finite Group Databasebeta

← C2×C11×#2661 #14611766

Subgroups — C2×C11×#2661 #14611766

Order 2816.

3434 conjugacy classes of subgroups.

The subgroup lattice has 624 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×C11×#123C211yesmaximal, characteristic, complemented
2C22×C11×#121C211yesmaximal, characteristic, complemented
3C11×#2661C2116yesmaximal, direct product factor
4C2×C11×#398C211yesmaximal, characteristic, complemented
5C2×C11×#397C211yesmaximal, characteristic, complemented
6C2×C11×#394C212yesmaximal, complemented
7C2×C11×#394C211yesmaximal, characteristic, complemented
8C2×C11×#392C212yesmaximal, complemented
9C2×C11×#392C211yesmaximal, characteristic, complemented
10C2×C11×#390C212yesmaximal, complemented
11C2×C11×#388C212yesmaximal, complemented
12C2×C4×C11×C22⋊C4C211yesmaximal, characteristic, complemented
13C23×D4×C11C2211yescharacteristic
14C23×D4×C11C2212yes—
15C23×D4×C11C2212yes—
16C23×D4×C11C2211yescharacteristic
17C24×C4×C11C2211yescharacteristic
18C2×C11×#123—28no—
19C2×C11×#123C2218yescomplemented
20C2×C11×#121—28no—
21C2×C11×#121C2218yescomplemented
22C22×C11×C4⋊C4C2211yescharacteristic
23C22×C11×C4⋊C4C2211yescharacteristic
24C22×C11×C4⋊C4C2211yescharacteristic
25C22×C11×C4⋊C4C2212yes—
26C22×C11×C22⋊C4C2212yes—
27C22×C11×C22⋊C4C2212yes—
28C22×C11×C22⋊C4C2211yescharacteristic
29C22×C11×C22⋊C4C2211yescharacteristic
30C22×C11×C22⋊C4C2212yes—
31C22×C11×C22⋊C4C2211yescharacteristic
32C22×C11×C22⋊C4C2212yes—
33C22×C11×C22⋊C4C2212yes—
34C22×C11×C22⋊C4C2212yes—
35C22×C42×C11C2212yes—
36C11×#398C2218yescomplemented
37C11×#397C2218yescomplemented
38C11×#394C2218yescomplemented
39C11×#394C22116yescomplemented
40C11×#392C2218yescomplemented
41C11×#392C22116yescomplemented
42C11×#390C22116yescomplemented
43C11×#388C22116yescomplemented
44C4×C11×C22⋊C4C2218yescomplemented
45C2×C11×#95C2211yescharacteristic
46C2×C11×#95C2212yes—
47C2×C11×#95C2211yescharacteristic
48C2×C11×#95C2212yes—
49C25×C11C2311yescharacteristic
50C25×C11C2312yes—
51C25×C11C2311yescharacteristic
52C22×D4×C11—28no—
53C22×D4×C11—24no—
54C22×D4×C11—24no—
55C22×D4×C11—28no—
56C22×D4×C11—44no—
57C22×D4×C11—44no—
58C22×D4×C11—44no—
59C22×D4×C11—44no—
60C22×D4×C11—44no—
61C22×D4×C11—44no—
62C22×D4×C11C2318yes—
63C22×D4×C11C2314yes—
64C22×D4×C11C2314yes—
65C22×D4×C11C2318yes—
66C23×C4×C11—44no—
67C23×C4×C11D418yescomplemented
68C23×C4×C11C2312yes—
69C23×C4×C11C2311yescharacteristic
70C23×C4×C11C2311yescharacteristic
71C23×C4×C11C2312yes—
72C23×C4×C11C2311yescharacteristic
73C23×C4×C11C2311yescharacteristic
74C23×C4×C11C2311yescharacteristic
75C23×C4×C11C2312yes—
76C23×C4×C11C2314yes—
77C11×#123—232no—
78C11×#121—232no—
79C2×C11×C4⋊C4—24no—
80C2×C11×C4⋊C4—24no—
81C2×C11×C4⋊C4—24no—
82C2×C11×C4⋊C4—44no—
83C2×C11×C4⋊C4C2314yes—
84C2×C11×C4⋊C4C2314yes—
85C2×C11×C4⋊C4C2314yes—
86C2×C11×C4⋊C4C2318yes—
87C2×C11×C22⋊C4—24no—
88C2×C11×C22⋊C4—28no—
89C2×C11×C22⋊C4—24no—
90C2×C11×C22⋊C4—24no—
91C2×C11×C22⋊C4—28no—
92C2×C11×C22⋊C4—28no—
93C2×C11×C22⋊C4—44no—
94C2×C11×C22⋊C4—44no—
95C2×C11×C22⋊C4—44no—
96C2×C11×C22⋊C4C2318yes—
97C2×C11×C22⋊C4C2318yes—
98C2×C11×C22⋊C4C2314yes—
99C2×C11×C22⋊C4C2314yes—
100C2×C11×C22⋊C4C2314yes—
101C2×C11×C22⋊C4C2318yes—
102C2×C11×C22⋊C4C2318yes—
103C2×C11×C22⋊C4C2318yes—
104C2×C11×C22⋊C4C2318yes—
105C2×C42×C11—44no—
106C2×C42×C11C2318yes—
107C11×#95C2314yes—
108C11×#95C2314yes—
109C11×#95C2318yes—
110C11×#95C2318yes—
111C2×#2661C1111yesmaximal, characteristic, direct product factor, Sylow
112C24×C11—24no—
113C24×C11—24no—
114C24×C11—22no—
115C24×C11—22no—
116C24×C11—22no—
117C24×C11—24no—
118C24×C11—24no—
119C24×C11—24no—
120C24×C11—24no—
121C24×C11—22no—
122C24×C11—24no—
123C24×C11—24no—
124C24×C11—24no—
125C24×C11—24no—
126C24×C11—24no—
127C24×C11—22no—
128C24×C11C2×D414yes—
129C24×C11C2412yes—
130C24×C11C2414yes—
131C24×C11C2412yes—
132C24×C11C2411yescharacteristic
133C2×D4×C11—216no—
134C2×D4×C11—28no—
135C2×D4×C11—28no—
136C2×D4×C11—216no—
137C2×D4×C11—48no—
138C2×D4×C11—48no—
139C2×D4×C11—48no—
140C2×D4×C11—48no—
141C2×D4×C11—48no—
142C2×D4×C11—48no—
143C2×D4×C11—416no—
144C2×D4×C11—432no—
145C2×D4×C11—416no—
146C2×D4×C11—432no—
147C22×C4×C11—24no—
148C22×C4×C11—24no—
149C22×C4×C11—24no—
150C22×C4×C11—24no—
151C22×C4×C11—22no—
152C22×C4×C11—22no—
153C22×C4×C11—24no—
154C22×C4×C11—22no—
155C22×C4×C11—24no—
156C22×C4×C11—24no—
157C22×C4×C11—24no—
158C22×C4×C11—22no—
159C22×C4×C11—24no—
160C22×C4×C11—24no—
161C22×C4×C11—24no—
162C22×C4×C11—22no—
163C22×C4×C11—24no—
164C22×C4×C11—416no—
165C22×C4×C11—48no—
166C22×C4×C11C2×D414yes—
167C22×C4×C11C2×D414yes—
168C22×C4×C11C2×D4116yescomplemented
169C22×C4×C11#4118yes—
170C22×C4×C11C2414yes—
171C22×C4×C11C2412yes—
172C22×C4×C11C2414yes—
173C22×C4×C11C2412yes—
174C22×C4×C11C2412yes—
175C22×C4×C11C2412yes—
176C22×C4×C11C2412yes—
177C22×C4×C11C2414yes—
178C11×C4⋊C4—28no—
179C11×C4⋊C4—28no—
180C11×C4⋊C4—28no—
181C11×C4⋊C4—48no—
182C11×C22⋊C4—28no—
183C11×C22⋊C4—216no—
184C11×C22⋊C4—28no—
185C11×C22⋊C4—28no—
186C11×C22⋊C4—216no—
187C11×C22⋊C4—216no—
188C11×C22⋊C4—48no—
189C11×C22⋊C4—48no—
190C11×C22⋊C4—48no—
191C42×C11—48no—
192C22×#123C2×C1111yescharacteristic, complemented
193C22×#121C2×C1111yescharacteristic, complemented
194#2661C2×C11116yesdirect product factor
195C2×#398C2×C1111yescharacteristic, complemented
196C2×#397C2×C1111yescharacteristic, complemented
197C2×#394C2×C1112yescomplemented
198C2×#394C2×C1111yescharacteristic, complemented
199C2×#392C2×C1112yescomplemented
200C2×#392C2×C1111yescharacteristic, complemented
201C2×#390C2×C1112yescomplemented
202C2×#388C2×C1112yescomplemented
203C2×C4×C22⋊C4C2×C1111yescharacteristic, complemented
204C23×C11—28no—
205C23×C11—28no—
206C23×C11—28no—
207C23×C11—24no—
208C23×C11—24no—
209C23×C11—22no—
210C23×C11—22no—
211C23×C11—22no—
212C23×C11—24no—
213C23×C11—24no—
214C23×C11—24no—
215C23×C11—24no—
216C23×C11—22no—
217C23×C11—24no—
218C23×C11—24no—
219C23×C11—24no—
220C23×C11—24no—
221C23×C11—24no—
222C23×C11—22no—
223C23×C11—48no—
224C23×C11—48no—
225C23×C11—44no—
226C23×C11—48no—
227C23×C11—48no—
228C23×C11—44no—
229C23×C11—48no—
230C23×C11—44no—
231C23×C11—48no—
232C23×C11—48no—
233C23×C11—48no—
234C23×C11—48no—
235C23×C11—48no—
236C23×C11—48no—
237C23×C11C22×D414yes—
238C23×C11C22×D412yes—
239C23×C11C2×#4114yes—
240C23×C11H(5,𝔽2)14yes—
241C23×C11H(5,𝔽2)12yes—
242C23×C11H(5,𝔽2)12yes—
243C23×C11C2511yescharacteristic
244D4×C11—416no—
245D4×C11—432no—
246D4×C11—416no—
247D4×C11—432no—
248C2×C4×C11—28no—
249C2×C4×C11—28no—
250C2×C4×C11—216no—
251C2×C4×C11—24no—
252C2×C4×C11—24no—
253C2×C4×C11—24no—
254C2×C4×C11—24no—
255C2×C4×C11—22no—
256C2×C4×C11—22no—
257C2×C4×C11—24no—
258C2×C4×C11—22no—
259C2×C4×C11—24no—
260C2×C4×C11—24no—
261C2×C4×C11—24no—
262C2×C4×C11—22no—
263C2×C4×C11—24no—
264C2×C4×C11—24no—
265C2×C4×C11—24no—
266C2×C4×C11—22no—
267C2×C4×C11—24no—
268C2×C4×C11—416no—
269C2×C4×C11—44no—
270C2×C4×C11—44no—
271C2×C4×C11—44no—
272C2×C4×C11—48no—
273C2×C4×C11—48no—
274C2×C4×C11C22×D414yes—
275C2×C4×C11C22×D414yes—
276C2×C4×C11C2×#4118yes—
277C23×D4C22×C1111yescharacteristic
278C23×D4C22×C1112yes—
279C23×D4C22×C1112yes—
280C23×D4C22×C1111yescharacteristic
281C24×C4C22×C1111yescharacteristic
282C2×#123—28no—
283C2×#123C22×C1118yescomplemented
284C2×#121—28no—
285C2×#121C22×C1118yescomplemented
286C22×C4⋊C4C22×C1111yescharacteristic
287C22×C4⋊C4C22×C1111yescharacteristic
288C22×C4⋊C4C22×C1111yescharacteristic
289C22×C4⋊C4C22×C1112yes—
290C22×C22⋊C4C22×C1112yes—
291C22×C22⋊C4C22×C1112yes—
292C22×C22⋊C4C22×C1111yescharacteristic
293C22×C22⋊C4C22×C1111yescharacteristic
294C22×C22⋊C4C22×C1112yes—
295C22×C22⋊C4C22×C1111yescharacteristic
296C22×C22⋊C4C22×C1112yes—
297C22×C22⋊C4C22×C1112yes—
298C22×C22⋊C4C22×C1112yes—
299C22×C42C22×C1112yes—
300#398C22×C1118yescomplemented
301#397C22×C1118yescomplemented
302#394C22×C1118yescomplemented
303#394C22×C11116yescomplemented
304#392C22×C1118yescomplemented
305#392C22×C11116yescomplemented
306#390C22×C11116yescomplemented
307#388C22×C11116yescomplemented
308C4×C22⋊C4C22×C1118yescomplemented
309C2×#95C22×C1111yescharacteristic
310C2×#95C22×C1112yes—
311C2×#95C22×C1111yescharacteristic
312C2×#95C22×C1112yes—
313C22×C11—24no—
314C22×C11—24no—
315C22×C11—24no—
316C22×C11—416no—
317C22×C11—44no—
318C22×C11—44no—
319C22×C11—42no—
320C22×C11—44no—
321C22×C11—44no—
322C22×C11—42no—
323C22×C11—44no—
324C22×C11—42no—
325C22×C11—44no—
326C22×C11—44no—
327C22×C11—44no—
328C22×C11—44no—
329C22×C11—44no—
330C22×C11—44no—
331C22×C11—816no—
332C22×C11—88no—
333C22×C11#53214yes—
334C22×C11#53414yes—
335C22×C11#53514yes—
336C22×C11#53818yes—
337C22×C11#54018yes—
338C22×C11C23×D411yescharacteristic
339C22×C11C22×#4112yes—
340C22×C11C2×H(5,𝔽2)12yes—
341C22×C11C2×H(5,𝔽2)11yescharacteristic
342C22×C11C2×H(5,𝔽2)11yescharacteristic
343C4×C11—24no—
344C4×C11—24no—
345C4×C11—28no—
346C4×C11—42no—
347C4×C11—42no—
348C4×C11—42no—
349C4×C11—44no—
350C4×C11—44no—
351C25C23×C1111yescharacteristic
352C25C23×C1112yes—
353C25C23×C1111yescharacteristic
354C22×D4—28no—
355C22×D4—24no—
356C22×D4—24no—
357C22×D4—28no—
358C22×D4—44no—
359C22×D4—44no—
360C22×D4—44no—
361C22×D4—44no—
362C22×D4—44no—
363C22×D4—44no—
364C22×D4C23×C1118yes—
365C22×D4C23×C1114yes—
366C22×D4C23×C1114yes—
367C22×D4C23×C1118yes—
368C23×C4—44no—
369C23×C4D4×C1118yescomplemented
370C23×C4C23×C1111yescharacteristic
371C23×C4C23×C1111yescharacteristic
372C23×C4C23×C1112yes—
373C23×C4C23×C1112yes—
374C23×C4C23×C1111yescharacteristic
375C23×C4C23×C1111yescharacteristic
376C23×C4C23×C1111yescharacteristic
377C23×C4C23×C1112yes—
378C23×C4C23×C1114yes—
379#123—232no—
380#121—232no—
381C2×C4⋊C4—24no—
382C2×C4⋊C4—24no—
383C2×C4⋊C4—24no—
384C2×C4⋊C4—44no—
385C2×C4⋊C4C23×C1114yes—
386C2×C4⋊C4C23×C1114yes—
387C2×C4⋊C4C23×C1114yes—
388C2×C4⋊C4C23×C1118yes—
389C2×C22⋊C4—24no—
390C2×C22⋊C4—28no—
391C2×C22⋊C4—24no—
392C2×C22⋊C4—24no—
393C2×C22⋊C4—28no—
394C2×C22⋊C4—28no—
395C2×C22⋊C4—44no—
396C2×C22⋊C4—44no—
397C2×C22⋊C4—44no—
398C2×C22⋊C4C23×C1118yes—
399C2×C22⋊C4C23×C1114yes—
400C2×C22⋊C4C23×C1114yes—
401C2×C22⋊C4C23×C1114yes—
402C2×C22⋊C4C23×C1118yes—
403C2×C22⋊C4C23×C1118yes—
404C2×C22⋊C4C23×C1118yes—
405C2×C22⋊C4C23×C1118yes—
406C2×C22⋊C4C23×C1118yes—
407C2×C42—44no—
408C2×C42C23×C1118yes—
409#95C23×C1114yes—
410#95C23×C1114yes—
411#95C23×C1118yes—
412#95C23×C1118yes—
413C2×C11—44no—
414C2×C11—84no—
415C2×C11—82no—
416C2×C11#266118yesdirect product factor
417C2×C11C2×#53211yescharacteristic
418C2×C11C2×#53411yescharacteristic
419C2×C11C2×#53511yescharacteristic
420C2×C11C2×#53812yes—
421C2×C11C2×#54012yes—
422C24—24no—
423C24—24no—
424C24—22no—
425C24—22no—
426C24—22no—
427C24—24no—
428C24—24no—
429C24—24no—
430C24—24no—
431C24—22no—
432C24—24no—
433C24—24no—
434C24—24no—
435C24—24no—
436C24—24no—
437C24—22no—
438C24C2×D4×C1114yes—
439C24C24×C1112yes—
440C24C24×C1114yes—
441C24C24×C1112yes—
442C24C24×C1111yescharacteristic
443C2×D4—216no—
444C2×D4—28no—
445C2×D4—28no—
446C2×D4—216no—
447C2×D4—48no—
448C2×D4—48no—
449C2×D4—48no—
450C2×D4—48no—
451C2×D4—48no—
452C2×D4—48no—
453C2×D4—416no—
454C2×D4—432no—
455C2×D4—416no—
456C2×D4—432no—
457C22×C4—24no—
458C22×C4—24no—
459C22×C4—24no—
460C22×C4—24no—
461C22×C4—22no—
462C22×C4—22no—
463C22×C4—24no—
464C22×C4—22no—
465C22×C4—24no—
466C22×C4—24no—
467C22×C4—24no—
468C22×C4—22no—
469C22×C4—24no—
470C22×C4—24no—
471C22×C4—24no—
472C22×C4—22no—
473C22×C4—24no—
474C22×C4—416no—
475C22×C4—48no—
476C22×C4C2×D4×C1114yes—
477C22×C4C2×D4×C1114yes—
478C22×C4C2×D4×C11116yescomplemented
479C22×C4C11×#4118yes—
480C22×C4C24×C1114yes—
481C22×C4C24×C1112yes—
482C22×C4C24×C1114yes—
483C22×C4C24×C1112yes—
484C22×C4C24×C1112yes—
485C22×C4C24×C1112yes—
486C22×C4C24×C1112yes—
487C22×C4C24×C1114yes—
488C4⋊C4—28no—
489C4⋊C4—28no—
490C4⋊C4—28no—
491C4⋊C4—48no—
492C22⋊C4—28no—
493C22⋊C4—216no—
494C22⋊C4—28no—
495C22⋊C4—28no—
496C22⋊C4—216no—
497C22⋊C4—216no—
498C22⋊C4—48no—
499C22⋊C4—48no—
500C22⋊C4—48no—
501C42—48no—
502C11C2×#266111yescharacteristic, direct product factor, Sylow
503C23—28no—
504C23—28no—
505C23—28no—
506C23—24no—
507C23—24no—
508C23—22no—
509C23—22no—
510C23—22no—
511C23—24no—
512C23—24no—
513C23—24no—
514C23—24no—
515C23—22no—
516C23—24no—
517C23—24no—
518C23—24no—
519C23—24no—
520C23—24no—
521C23—22no—
522C23—48no—
523C23—48no—
524C23—44no—
525C23—48no—
526C23—48no—
527C23—44no—
528C23—48no—
529C23—44no—
530C23—48no—
531C23—48no—
532C23—48no—
533C23—48no—
534C23—48no—
535C23—48no—
536C23C22×D4×C1114yes—
537C23C22×D4×C1112yes—
538C23C2×C11×#4114yes—
539C23C11×H(5,𝔽2)14yes—
540C23C11×H(5,𝔽2)12yes—
541C23C11×H(5,𝔽2)12yes—
542C23C25×C1111yescharacteristic
543D4—416no—
544D4—432no—
545D4—416no—
546D4—432no—
547C2×C4—28no—
548C2×C4—28no—
549C2×C4—216no—
550C2×C4—24no—
551C2×C4—24no—
552C2×C4—24no—
553C2×C4—24no—
554C2×C4—22no—
555C2×C4—22no—
556C2×C4—24no—
557C2×C4—22no—
558C2×C4—24no—
559C2×C4—24no—
560C2×C4—24no—
561C2×C4—22no—
562C2×C4—24no—
563C2×C4—24no—
564C2×C4—24no—
565C2×C4—22no—
566C2×C4—24no—
567C2×C4—416no—
568C2×C4—44no—
569C2×C4—44no—
570C2×C4—44no—
571C2×C4—48no—
572C2×C4—48no—
573C2×C4C22×D4×C1114yes—
574C2×C4C22×D4×C1114yes—
575C2×C4C2×C11×#4118yes—
576C22—24no—
577C22—24no—
578C22—24no—
579C22—416no—
580C22—44no—
581C22—44no—
582C22—42no—
583C22—44no—
584C22—44no—
585C22—42no—
586C22—44no—
587C22—42no—
588C22—44no—
589C22—44no—
590C22—44no—
591C22—44no—
592C22—44no—
593C22—44no—
594C22—816no—
595C22—88no—
596C22C11×#53214yes—
597C22C11×#53414yes—
598C22C11×#53514yes—
599C22C11×#53818yes—
600C22C11×#54018yes—
601C22C23×D4×C1111yescharacteristic
602C22C22×C11×#4112yes—
603C22C2×C11×H(5,𝔽2)12yes—
604C22C2×C11×H(5,𝔽2)11yescharacteristic
605C22C2×C11×H(5,𝔽2)11yescharacteristic
606C4—24no—
607C4—24no—
608C4—28no—
609C4—42no—
610C4—42no—
611C4—44no—
612C4—42no—
613C4—44no—
614C2—44no—
615C2—84no—
616C2—82no—
617C2C11×#266118yesdirect product factor
618C2C2×C11×#53211yescharacteristic
619C2C2×C11×#53411yescharacteristic
620C2C2×C11×#53511yescharacteristic
621C2C2×C11×#53812yes—
622C2C2×C11×#54012yes—
subgroupG/H
center, socleC24×C11C24
commutator, Frattini, cosocleC23C25×C11
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C24×C11 ◁ G

Complements

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

NH ≅ G/Ntype
1. C22×C11×#123C2semidirect
2. C22×C11×#121C2semidirect
3. C11×#2661C2direct (N × H)
4. C2×C11×#398C2semidirect
5. C2×C11×#397C2semidirect
6. C2×C11×#394C2semidirect
7. C2×C11×#394C2semidirect
8. C2×C11×#392C2semidirect
9. C2×C11×#392C2semidirect
10. C2×C11×#390C2semidirect
11. C2×C11×#388C2semidirect
12. C2×C4×C11×C22⋊C4C2semidirect
19. C2×C11×#123C22semidirect
21. C2×C11×#121C22semidirect
36. C11×#398C22semidirect
37. C11×#397C22semidirect
38. C11×#394C22semidirect
39. C11×#394C22semidirect
40. C11×#392C22semidirect
41. C11×#392C22semidirect
42. C11×#390C22semidirect
43. C11×#388C22semidirect
44. C4×C11×C22⋊C4C22semidirect
67. C23×C4×C11D4semidirect
111. C2×#2661C11direct (N × H)
168. C22×C4×C11C2×D4semidirect
192. C22×#123C2×C11semidirect
193. C22×#121C2×C11semidirect
194. #2661C2×C11direct (N × H)
195. C2×#398C2×C11semidirect
196. C2×#397C2×C11semidirect
197. C2×#394C2×C11semidirect
198. C2×#394C2×C11semidirect
199. C2×#392C2×C11semidirect
200. C2×#392C2×C11semidirect
201. C2×#390C2×C11semidirect
202. C2×#388C2×C11semidirect
203. C2×C4×C22⋊C4C2×C11semidirect
283. C2×#123C22×C11semidirect
285. C2×#121C22×C11semidirect
300. #398C22×C11semidirect
301. #397C22×C11semidirect
302. #394C22×C11semidirect
303. #394C22×C11semidirect
304. #392C22×C11semidirect
305. #392C22×C11semidirect
306. #390C22×C11semidirect
307. #388C22×C11semidirect
308. C4×C22⋊C4C22×C11semidirect
369. C23×C4D4×C11semidirect
416. C2×C11#2661direct (N × H)
478. C22×C4C2×D4×C11semidirect
502. C11C2×#2661direct (N × H)
617. C2C11×#2661direct (N × H)

Maximal subgroups

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

subgroupindex
C22×C11×#1232
C22×C11×#1212
C11×#26612
C2×C11×#3982
C2×C11×#3972
C2×C11×#3942
C2×C11×#3922
C2×C11×#3902
C2×C11×#3882
C2×C4×C11×C22⋊C42
C2×#266111