Finite Group Databasebeta

← C2×C11×#2120 #14610536

Subgroups — C2×C11×#2120 #14610536

Order 2816.

1398 conjugacy classes of subgroups.

The subgroup lattice has 678 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C11×#525C211yesmaximal, characteristic
2C2×C11×#413C211yesmaximal, characteristic, complemented
3C2×C11×#410C211yesmaximal, characteristic, complemented
4C11×#2120C218yesmaximal, direct product factor
5C2×C11×#352C212yesmaximal, complemented
6C2×C11×AΣL(1,𝔽16)C212yesmaximal, complemented
7C22×C11×#41C2211yescharacteristic
8C24×C4×C11C411yescharacteristic, complemented
9C22×C11×M16—21no—
10C11×#525—22no—
11C11×#525—22no—
12C11×#525C414yescomplemented
13C11×#525C2214yes—
14C2×C11×#123C411yescharacteristic, complemented
15C2×C11×#123C2211yescharacteristic
16C2×C11×C22⋊Q8—21no—
17C2×C11×#121—21no—
18C2×C11×#120C411yescharacteristic, complemented
19C2×C11×#120C2211yescharacteristic
20C2×C4×D4×C11—21no—
21C2×C4×D4×C11—21no—
22C2×C11×#117—21no—
23C2×C11×#117C411yescharacteristic, complemented
24C11×#413—22no—
25C11×#413C2214yescomplemented
26C2×C11×#101—21no—
27C2×C11×#100C2212yes—
28C11×#410—22no—
29C11×#410C2214yescomplemented
30C2×C11×#99—21no—
31C2×C11×#99C2212yes—
32C11×#352C2218yescomplemented
33C11×AΣL(1,𝔽16)C2218yescomplemented
34C25×C11C2×C411yescharacteristic
35C2×C11×#41—41no—
36C2×C11×#41—42no—
37C2×C11×#41—41no—
38C2×C11×#41C2×C412yes—
39C2×C11×#41D412yes—
40C2×C11×#41D412yes—
41C2×C11×#41C2312yes—
42C22×Q8×C11D411yescharacteristic
43C22×D4×C11—21no—
44C22×D4×C11—21no—
45C22×D4×C11C2×C411yescharacteristic
46C22×D4×C11D411yescharacteristic
47C22×D4×C11C2311yescharacteristic
48C23×C4×C11—21no—
49C23×C4×C11—22no—
50C23×C4×C11—21no—
51C23×C4×C11—41no—
52C23×C4×C11—42no—
53C23×C4×C11—41no—
54C23×C4×C11C2×C411yescharacteristic
55C23×C4×C11C2×C411yescharacteristic
56C23×C4×C11C2×C414yescomplemented
57C23×C4×C11D411yescharacteristic
58C23×C4×C11D411yescharacteristic
59C2×C11×M16—22no—
60C2×C11×M16—24no—
61C2×C11×M16—41no—
62C2×C11×M16—42no—
63C22×C8×C11—41no—
64C11×#123—22no—
65C11×#123—21no—
66C11×#123—21no—
67C11×#123C2×C412yes—
68C11×#123C2×C414yescomplemented
69C11×#123C2312yes—
70C11×C22⋊Q8—24no—
71C11×C22⋊Q8—24no—
72C11×#121—24no—
73C11×#121—24no—
74C11×#120—22no—
75C11×#120—21no—
76C11×#120—21no—
77C11×#120C2×C412yes—
78C11×#120C2×C414yescomplemented
79C11×#120C2312yes—
80C4×D4×C11—24no—
81C4×D4×C11—24no—
82C4×D4×C11—24no—
83C4×D4×C11—24no—
84C11×#117—22no—
85C11×#117—24no—
86C11×#117—42no—
87C11×#117C2×C414yescomplemented
88C2×C11×C4⋊C4—21no—
89C2×C11×C4⋊C4—21no—
90C2×C11×C4⋊C4—21no—
91C2×C11×C4⋊C4—41no—
92C2×C11×C22⋊C4—21no—
93C2×C11×C22⋊C4—21no—
94C2×C11×C22⋊C4—21no—
95C2×C11×C22⋊C4—21no—
96C2×C11×C22⋊C4—22no—
97C2×C11×C22⋊C4C2×C411yescharacteristic
98C2×C11×C22⋊C4C2×C411yescharacteristic
99C2×C42×C11—21no—
100C2×C42×C11—41no—
101C11×#101—24no—
102C11×#100—22no—
103C11×#100C2314yes—
104C11×#99—24no—
105C11×#99—22no—
106C11×#99C2314yes—
107C2×#2120C1111yesmaximal, characteristic, direct product factor, Sylow
108C24×C11—21no—
109C24×C11—21no—
110C24×C11—41no—
111C24×C11—41no—
112C24×C11—44no—
113C24×C11C22⋊C411yescharacteristic
114C24×C11C22×C411yescharacteristic
115C24×C11C22×C412yes—
116C24×C11C2×D411yescharacteristic
117C11×#41—42no—
118C11×#41—42no—
119C11×#41—42no—
120C11×#41—42no—
121C11×#41—42no—
122C11×#41—42no—
123C11×#41—42no—
124C11×#41—42no—
125C2×Q8×C11—41no—
126C2×Q8×C11—41no—
127C2×Q8×C11C22⋊C412yes—
128C2×Q8×C11C2×D412yes—
129C2×D4×C11—22no—
130C2×D4×C11—24no—
131C2×D4×C11—22no—
132C2×D4×C11—41no—
133C2×D4×C11—41no—
134C2×D4×C11—41no—
135C2×D4×C11—41no—
136C2×D4×C11—41no—
137C2×D4×C11—41no—
138C2×D4×C11—44no—
139C2×D4×C11—44no—
140C2×D4×C11C22⋊C412yes—
141C2×D4×C11C22⋊C412yes—
142C2×D4×C11C22×C411yescharacteristic
143C2×D4×C11C22×C412yes—
144C2×D4×C11C2×D411yescharacteristic
145C2×D4×C11C2×D412yes—
146C2×D4×C11C2×D411yescharacteristic
147C2×D4×C11C2411yescharacteristic
148C22×C4×C11—21no—
149C22×C4×C11—22no—
150C22×C4×C11—21no—
151C22×C4×C11—22no—
152C22×C4×C11—22no—
153C22×C4×C11—21no—
154C22×C4×C11—21no—
155C22×C4×C11—21no—
156C22×C4×C11—21no—
157C22×C4×C11—21no—
158C22×C4×C11—21no—
159C22×C4×C11—21no—
160C22×C4×C11—21no—
161C22×C4×C11—24no—
162C22×C4×C11—24no—
163C22×C4×C11—42no—
164C22×C4×C11—42no—
165C22×C4×C11—44no—
166C22×C4×C11—44no—
167C22×C4×C11—44no—
168C22×C4×C11—44no—
169C22×C4×C11—42no—
170C22×C4×C11—41no—
171C22×C4×C11—41no—
172C22×C4×C11—41no—
173C22×C4×C11—41no—
174C22×C4×C11—42no—
175C22×C4×C11C22⋊C411yescharacteristic
176C22×C4×C11C22⋊C411yescharacteristic
177C22×C4×C11C22⋊C412yes—
178C22×C4×C11C22⋊C412yes—
179C22×C4×C11C22⋊C412yes—
180C22×C4×C11C22⋊C411yescharacteristic
181C22×C4×C11C22×C412yes—
182C22×C4×C11C22×C412yes—
183C22×C4×C11C2×D412yes—
184C22×C4×C11C2×D411yescharacteristic
185C22×C4×C11C2×D412yes—
186C11×M16—24no—
187C11×M16—42no—
188C11×M16—44no—
189C2×C8×C11—42no—
190C2×C8×C11—44no—
191C11×C4⋊C4—24no—
192C11×C4⋊C4—22no—
193C11×C4⋊C4—24no—
194C11×C4⋊C4—22no—
195C11×C4⋊C4—44no—
196C11×C22⋊C4—22no—
197C11×C22⋊C4—24no—
198C11×C22⋊C4—21no—
199C11×C22⋊C4—21no—
200C11×C22⋊C4—22no—
201C11×C22⋊C4—22no—
202C11×C22⋊C4—24no—
203C11×C22⋊C4—22no—
204C11×C22⋊C4—24no—
205C11×C22⋊C4—42no—
206C11×C22⋊C4C22×C412yes—
207C11×C22⋊C4C22×C412yes—
208C42×C11—24no—
209C42×C11—44no—
210C2×#525C2×C1111yescharacteristic
211C2×#413C2×C1111yescharacteristic, complemented
212C2×#410C2×C1111yescharacteristic, complemented
213#2120C2×C1118yesdirect product factor
214C2×#352C2×C1112yescomplemented
215C2×AΣL(1,𝔽16)C2×C1112yescomplemented
216C23×C11—24no—
217C23×C11—22no—
218C23×C11—21no—
219C23×C11—21no—
220C23×C11—21no—
221C23×C11—21no—
222C23×C11—21no—
223C23×C11—21no—
224C23×C11—42no—
225C23×C11—42no—
226C23×C11—44no—
227C23×C11—42no—
228C23×C11—42no—
229C23×C11—44no—
230C23×C11—42no—
231C23×C11—42no—
232C23×C11—44no—
233C23×C11—48no—
234C23×C11—44no—
235C23×C11—41no—
236C23×C11—41no—
237C23×C11C2×C22⋊C411yescharacteristic
238C23×C11C2×C22⋊C411yescharacteristic
239C23×C11C2×C22⋊C411yescharacteristic
240C23×C11C2×C22⋊C412yes—
241C23×C11C23×C411yescharacteristic
242C23×C11C22×D411yescharacteristic
243Q8×C11—42no—
244Q8×C11—42no—
245D4×C11—42no—
246D4×C11—42no—
247D4×C11—42no—
248D4×C11—41no—
249D4×C11—42no—
250D4×C11—41no—
251D4×C11—41no—
252D4×C11—41no—
253D4×C11—44no—
254D4×C11—48no—
255D4×C11—44no—
256C2×C4×C11—21no—
257C2×C4×C11—21no—
258C2×C4×C11—21no—
259C2×C4×C11—21no—
260C2×C4×C11—21no—
261C2×C4×C11—21no—
262C2×C4×C11—22no—
263C2×C4×C11—22no—
264C2×C4×C11—22no—
265C2×C4×C11—22no—
266C2×C4×C11—22no—
267C2×C4×C11—22no—
268C2×C4×C11—22no—
269C2×C4×C11—22no—
270C2×C4×C11—22no—
271C2×C4×C11—22no—
272C2×C4×C11—22no—
273C2×C4×C11—22no—
274C2×C4×C11—22no—
275C2×C4×C11—22no—
276C2×C4×C11—22no—
277C2×C4×C11—48no—
278C2×C4×C11—42no—
279C2×C4×C11—42no—
280C2×C4×C11—42no—
281C2×C4×C11—41no—
282C2×C4×C11—41no—
283C2×C4×C11—44no—
284C2×C4×C11—44no—
285C2×C4×C11—42no—
286C2×C4×C11—44no—
287C2×C4×C11—84no—
288C2×C4×C11#9911yescharacteristic
289C2×C4×C11#9912yes—
290C2×C4×C11#9911yescharacteristic
291C2×C4×C11C2×C22⋊C412yes—
292C2×C4×C11C2×C22⋊C411yescharacteristic
293C2×C4×C11C2×C22⋊C412yes—
294C2×C4×C11C2×C22⋊C412yes—
295C2×C4×C11C22×D411yescharacteristic
296C8×C11—44no—
297C22×#41C22×C1111yescharacteristic
298C24×C4C4×C1111yescharacteristic, complemented
299C22×M16—21no—
300#525—22no—
301#525—22no—
302#525C4×C1114yescomplemented
303#525C22×C1114yes—
304C2×#123C4×C1111yescharacteristic, complemented
305C2×#123C22×C1111yescharacteristic
306C2×C22⋊Q8—21no—
307C2×#121—21no—
308C2×#120C4×C1111yescharacteristic, complemented
309C2×#120C22×C1111yescharacteristic
310C2×C4×D4—21no—
311C2×C4×D4—21no—
312C2×#117—21no—
313C2×#117C4×C1111yescharacteristic, complemented
314#413—22no—
315#413C22×C1114yescomplemented
316C2×#101—21no—
317C2×#100C22×C1112yes—
318#410—22no—
319#410C22×C1114yescomplemented
320C2×#99—21no—
321C2×#99C22×C1112yes—
322#352C22×C1118yescomplemented
323AΣL(1,𝔽16)C22×C1118yescomplemented
324C22×C11—22no—
325C22×C11—24no—
326C22×C11—21no—
327C22×C11—21no—
328C22×C11—21no—
329C22×C11—22no—
330C22×C11—21no—
331C22×C11—42no—
332C22×C11—41no—
333C22×C11—41no—
334C22×C11—41no—
335C22×C11—41no—
336C22×C11—42no—
337C22×C11—44no—
338C22×C11—42no—
339C22×C11—44no—
340C22×C11—44no—
341C22×C11—48no—
342C22×C11—42no—
343C22×C11—42no—
344C22×C11—42no—
345C22×C11—44no—
346C22×C11—42no—
347C22×C11—81no—
348C22×C11—81no—
349C22×C11C2×#9911yescharacteristic
350C22×C11C2×#9911yescharacteristic
351C22×C11C22×C22⋊C411yescharacteristic
352C4×C11—22no—
353C4×C11—21no—
354C4×C11—22no—
355C4×C11—21no—
356C4×C11—42no—
357C4×C11—42no—
358C4×C11—42no—
359C4×C11—84no—
360C4×C11C2×#9912yes—
361C4×C11C2×#9912yes—
362C25C2×C4×C1111yescharacteristic
363C2×#41—41no—
364C2×#41—41no—
365C2×#41—42no—
366C2×#41C2×C4×C1112yes—
367C2×#41D4×C1112yes—
368C2×#41D4×C1112yes—
369C2×#41C23×C1112yes—
370C22×Q8D4×C1111yescharacteristic
371C22×D4—21no—
372C22×D4—21no—
373C22×D4C2×C4×C1111yescharacteristic
374C22×D4D4×C1111yescharacteristic
375C22×D4C23×C1111yescharacteristic
376C23×C4—21no—
377C23×C4—21no—
378C23×C4—22no—
379C23×C4—41no—
380C23×C4—42no—
381C23×C4—41no—
382C23×C4C2×C4×C1111yescharacteristic
383C23×C4C2×C4×C1111yescharacteristic
384C23×C4C2×C4×C1114yescomplemented
385C23×C4D4×C1111yescharacteristic
386C23×C4D4×C1111yescharacteristic
387C2×M16—22no—
388C2×M16—24no—
389C2×M16—41no—
390C2×M16—42no—
391C22×C8—41no—
392#123—22no—
393#123—21no—
394#123—21no—
395#123C2×C4×C1112yes—
396#123C2×C4×C1114yescomplemented
397#123C23×C1112yes—
398C22⋊Q8—24no—
399C22⋊Q8—24no—
400#121—24no—
401#121—24no—
402#120—22no—
403#120—21no—
404#120—21no—
405#120C2×C4×C1112yes—
406#120C2×C4×C1114yescomplemented
407#120C23×C1112yes—
408C4×D4—24no—
409C4×D4—24no—
410C4×D4—24no—
411C4×D4—24no—
412#117—22no—
413#117—24no—
414#117—42no—
415#117C2×C4×C1114yescomplemented
416C2×C4⋊C4—21no—
417C2×C4⋊C4—21no—
418C2×C4⋊C4—21no—
419C2×C4⋊C4—41no—
420C2×C22⋊C4—21no—
421C2×C22⋊C4—21no—
422C2×C22⋊C4—21no—
423C2×C22⋊C4—21no—
424C2×C22⋊C4—22no—
425C2×C22⋊C4C2×C4×C1111yescharacteristic
426C2×C22⋊C4C2×C4×C1111yescharacteristic
427C2×C42—21no—
428C2×C42—41no—
429#101—24no—
430#100—22no—
431#100C23×C1114yes—
432#99—24no—
433#99—22no—
434#99C23×C1114yes—
435C2×C11—21no—
436C2×C11—21no—
437C2×C11—41no—
438C2×C11—44no—
439C2×C11—41no—
440C2×C11—41no—
441C2×C11—41no—
442C2×C11—42no—
443C2×C11#212012yesdirect product factor
444C2×C11C22×#9911yescharacteristic
445C24—21no—
446C24—21no—
447C24—41no—
448C24—41no—
449C24—44no—
450C24C11×C22⋊C411yescharacteristic
451C24C22×C4×C1111yescharacteristic
452C24C22×C4×C1112yes—
453C24C2×D4×C1111yescharacteristic
454#41—42no—
455#41—42no—
456#41—42no—
457#41—42no—
458#41—42no—
459#41—42no—
460#41—42no—
461#41—42no—
462C2×Q8—41no—
463C2×Q8—41no—
464C2×Q8C11×C22⋊C412yes—
465C2×Q8C2×D4×C1112yes—
466C2×D4—22no—
467C2×D4—24no—
468C2×D4—22no—
469C2×D4—41no—
470C2×D4—41no—
471C2×D4—41no—
472C2×D4—41no—
473C2×D4—41no—
474C2×D4—41no—
475C2×D4—44no—
476C2×D4—44no—
477C2×D4C11×C22⋊C412yes—
478C2×D4C11×C22⋊C412yes—
479C2×D4C22×C4×C1111yescharacteristic
480C2×D4C22×C4×C1112yes—
481C2×D4C2×D4×C1111yescharacteristic
482C2×D4C2×D4×C1112yes—
483C2×D4C2×D4×C1111yescharacteristic
484C2×D4C24×C1111yescharacteristic
485C22×C4—21no—
486C22×C4—21no—
487C22×C4—22no—
488C22×C4—21no—
489C22×C4—21no—
490C22×C4—22no—
491C22×C4—22no—
492C22×C4—21no—
493C22×C4—21no—
494C22×C4—21no—
495C22×C4—21no—
496C22×C4—21no—
497C22×C4—21no—
498C22×C4—24no—
499C22×C4—24no—
500C22×C4—42no—
501C22×C4—42no—
502C22×C4—44no—
503C22×C4—44no—
504C22×C4—44no—
505C22×C4—44no—
506C22×C4—42no—
507C22×C4—41no—
508C22×C4—41no—
509C22×C4—41no—
510C22×C4—41no—
511C22×C4—42no—
512C22×C4C11×C22⋊C411yescharacteristic
513C22×C4C11×C22⋊C411yescharacteristic
514C22×C4C11×C22⋊C412yes—
515C22×C4C11×C22⋊C412yes—
516C22×C4C11×C22⋊C412yes—
517C22×C4C11×C22⋊C411yescharacteristic
518C22×C4C22×C4×C1112yes—
519C22×C4C22×C4×C1112yes—
520C22×C4C2×D4×C1112yes—
521C22×C4C2×D4×C1111yescharacteristic
522C22×C4C2×D4×C1112yes—
523M16—24no—
524M16—42no—
525M16—44no—
526C2×C8—42no—
527C2×C8—44no—
528C4⋊C4—24no—
529C4⋊C4—22no—
530C4⋊C4—24no—
531C4⋊C4—22no—
532C4⋊C4—44no—
533C22⋊C4—22no—
534C22⋊C4—24no—
535C22⋊C4—21no—
536C22⋊C4—21no—
537C22⋊C4—22no—
538C22⋊C4—22no—
539C22⋊C4—24no—
540C22⋊C4—22no—
541C22⋊C4—24no—
542C22⋊C4—42no—
543C22⋊C4C22×C4×C1112yes—
544C22⋊C4C22×C4×C1112yes—
545C42—24no—
546C42—44no—
547C11C2×#212011yescharacteristic, direct product factor, Sylow
548C23—24no—
549C23—22no—
550C23—21no—
551C23—21no—
552C23—21no—
553C23—21no—
554C23—21no—
555C23—21no—
556C23—42no—
557C23—42no—
558C23—44no—
559C23—42no—
560C23—42no—
561C23—44no—
562C23—42no—
563C23—42no—
564C23—44no—
565C23—48no—
566C23—44no—
567C23—41no—
568C23—41no—
569C23C2×C11×C22⋊C411yescharacteristic
570C23C2×C11×C22⋊C411yescharacteristic
571C23C2×C11×C22⋊C411yescharacteristic
572C23C2×C11×C22⋊C412yes—
573C23C23×C4×C1111yescharacteristic
574C23C22×D4×C1111yescharacteristic
575Q8—42no—
576Q8—42no—
577D4—42no—
578D4—42no—
579D4—42no—
580D4—41no—
581D4—41no—
582D4—42no—
583D4—41no—
584D4—41no—
585D4—44no—
586D4—48no—
587D4—44no—
588C2×C4—21no—
589C2×C4—21no—
590C2×C4—21no—
591C2×C4—21no—
592C2×C4—21no—
593C2×C4—21no—
594C2×C4—22no—
595C2×C4—22no—
596C2×C4—22no—
597C2×C4—22no—
598C2×C4—22no—
599C2×C4—22no—
600C2×C4—22no—
601C2×C4—22no—
602C2×C4—22no—
603C2×C4—22no—
604C2×C4—22no—
605C2×C4—22no—
606C2×C4—22no—
607C2×C4—22no—
608C2×C4—22no—
609C2×C4—48no—
610C2×C4—42no—
611C2×C4—42no—
612C2×C4—42no—
613C2×C4—41no—
614C2×C4—41no—
615C2×C4—44no—
616C2×C4—44no—
617C2×C4—42no—
618C2×C4—44no—
619C2×C4—84no—
620C2×C4C11×#9912yes—
621C2×C4C11×#9911yescharacteristic
622C2×C4C11×#9911yescharacteristic
623C2×C4C2×C11×C22⋊C412yes—
624C2×C4C2×C11×C22⋊C411yescharacteristic
625C2×C4C2×C11×C22⋊C412yes—
626C2×C4C2×C11×C22⋊C412yes—
627C2×C4C22×D4×C1111yescharacteristic
628C8—44no—
629C22—22no—
630C22—24no—
631C22—21no—
632C22—21no—
633C22—21no—
634C22—22no—
635C22—21no—
636C22—42no—
637C22—41no—
638C22—41no—
639C22—41no—
640C22—41no—
641C22—42no—
642C22—44no—
643C22—42no—
644C22—44no—
645C22—44no—
646C22—48no—
647C22—42no—
648C22—42no—
649C22—44no—
650C22—42no—
651C22—42no—
652C22—81no—
653C22—81no—
654C22C2×C11×#9911yescharacteristic
655C22C2×C11×#9911yescharacteristic
656C22C22×C11×C22⋊C411yescharacteristic
657C4—21no—
658C4—22no—
659C4—21no—
660C4—22no—
661C4—42no—
662C4—42no—
663C4—42no—
664C4—84no—
665C4C2×C11×#9912yes—
666C4C2×C11×#9912yes—
667C2—21no—
668C2—21no—
669C2—41no—
670C2—44no—
671C2—41no—
672C2—41no—
673C2—41no—
674C2—42no—
675C2C11×#212012yesdirect product factor
676C2C22×C11×#9911yescharacteristic
subgroupG/H
centerC2×C4×C11#99
commutatorC23C23×C4×C11
Frattini, cosocleC2×D4C24×C11
socleC22×C11C2×#99
prime radicalC2×C11×#525C2
LCSG ▷ C23 ▷ C22 ▷ C2 ▷ C1
UCSC1 ◁ C2×C4×C11 ◁ C22×C4×C11 ◁ C22×C11×#41 ◁ G

Complements

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

NH ≅ G/Ntype
2. C2×C11×#413C2semidirect
3. C2×C11×#410C2semidirect
4. C11×#2120C2direct (N × H)
5. C2×C11×#352C2semidirect
6. C2×C11×AΣL(1,𝔽16)C2semidirect
8. C24×C4×C11C4semidirect
12. C11×#525C4semidirect
14. C2×C11×#123C4semidirect
18. C2×C11×#120C4semidirect
23. C2×C11×#117C4semidirect
25. C11×#413C22semidirect
29. C11×#410C22semidirect
32. C11×#352C22semidirect
33. C11×AΣL(1,𝔽16)C22semidirect
56. C23×C4×C11C2×C4semidirect
68. C11×#123C2×C4semidirect
78. C11×#120C2×C4semidirect
87. C11×#117C2×C4semidirect
107. C2×#2120C11direct (N × H)
211. C2×#413C2×C11semidirect
212. C2×#410C2×C11semidirect
213. #2120C2×C11direct (N × H)
214. C2×#352C2×C11semidirect
215. C2×AΣL(1,𝔽16)C2×C11semidirect
298. C24×C4C4×C11semidirect
302. #525C4×C11semidirect
304. C2×#123C4×C11semidirect
308. C2×#120C4×C11semidirect
313. C2×#117C4×C11semidirect
315. #413C22×C11semidirect
319. #410C22×C11semidirect
322. #352C22×C11semidirect
323. AΣL(1,𝔽16)C22×C11semidirect
384. C23×C4C2×C4×C11semidirect
396. #123C2×C4×C11semidirect
406. #120C2×C4×C11semidirect
415. #117C2×C4×C11semidirect
443. C2×C11#2120direct (N × H)
547. C11C2×#2120direct (N × H)
675. C2C11×#2120direct (N × H)

Maximal subgroups

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

subgroupindex
C2×C11×#5252
C2×C11×#4132
C2×C11×#4102
C11×#21202
C2×C11×#3522
C2×C11×AΣL(1,𝔽16)2
C2×#212011