Finite Group Databasebeta

← #14763586

Subgroups — #14763586

Order 2816.

1158 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
1#13071023C211yesmaximal, characteristic, complemented
2#13071014C211yesmaximal, characteristic, complemented
3#13069602C212yesmaximal, complemented
4#13069453C212yesmaximal
5#13069075C214yesmaximal, complemented
6#13068604C214yesmaximal, complemented
7C2×C11×#529C211yesmaximal, characteristic
8C11×#529—21no—
9C11×#529—21no—
10C11×#529—21no—
11C11×#529—21no—
12C11×#529—21no—
13C11×#529—21no—
14C11×#529—21no—
15C11×#529—21no—
16C2×C11×#126C412yescomplemented
17C2×C11×#125C411yescharacteristic, complemented
18C2×C11×#124C411yescharacteristic, complemented
19C2×C11×#123C2212yes—
20C2×C11×C22⋊Q8C2211yescharacteristic
21C2×C11×#121C2211yescharacteristic
22C2×C4×Q8×C11C411yescharacteristic, complemented
23C2×C4×D4×C11C411yescharacteristic, complemented
24C2×C4×D4×C11C2212yes—
25C2×C11×#117C412yescomplemented
26C22×C42×C11C2211yescharacteristic
27C2×#66979C2212yes—
28C2×#66898C2218yes—
29#10622825C2212yes—
30#10622825C2212yes—
31#10622825C2212yes—
32#10622824C2212yes—
33C4×C22⋊Dic11C2212yes—
34#10622550—21no—
35#10622549—21no—
36#10622549—21no—
37#10622548—21no—
38C4×C4⋊Dic11—21no—
39C4×C4⋊Dic11—21no—
40C4×C4⋊Dic11—21no—
41#10622545—21no—
42#10622164C2218yes—
43C22×Q8×C11C2×C411yescharacteristic
44C22×D4×C11C2×C411yescharacteristic
45C22×D4×C11C2312yes—
46C23×C4×C11C2×C412yes—
47C23×C4×C11C2311yescharacteristic
48C23×C4×C11C2311yescharacteristic
49C23×C4×C11C2311yescharacteristic
50C11×#126—22no—
51C11×#126—22no—
52C11×#126—22no—
53C11×#126—22no—
54C11×#125—21no—
55C11×#125—21no—
56C11×#125—21no—
57C11×#125—21no—
58C11×#124—21no—
59C11×#124—21no—
60C11×#124—21no—
61C11×#124—21no—
62C11×#123—22no—
63C11×#123—22no—
64C11×#123—22no—
65C11×#123—22no—
66C11×C22⋊Q8—21no—
67C11×C22⋊Q8—21no—
68C11×C22⋊Q8—21no—
69C11×C22⋊Q8—21no—
70C11×#121—21no—
71C11×#121—21no—
72C11×#121—21no—
73C11×#121—21no—
74C4×Q8×C11—21no—
75C4×Q8×C11—21no—
76C4×Q8×C11—21no—
77C4×Q8×C11—21no—
78C4×D4×C11—22no—
79C4×D4×C11—22no—
80C4×D4×C11—22no—
81C4×D4×C11—22no—
82C4×D4×C11—21no—
83C4×D4×C11—21no—
84C4×D4×C11—21no—
85C4×D4×C11—21no—
86C11×#117—22no—
87C11×#117—22no—
88C11×#117—22no—
89C11×#117—22no—
90C2×C11×C4⋊C4C2×C412yes—
91C2×C11×C4⋊C4C2×C412yes—
92C2×C11×C4⋊C4C2×C411yescharacteristic
93C2×C11×C4⋊C4C2×C412yes—
94C2×C11×C4⋊C4C2×C411yescharacteristic
95C2×C11×C4⋊C4C2×C412yes—
96C2×C11×C22⋊C4C2×C412yes—
97C2×C11×C22⋊C4C2×C412yes—
98C2×C11×C22⋊C4C2×C412yes—
99C2×C11×C22⋊C4C2×C412yes—
100C2×C11×C22⋊C4C2312yes—
101C2×C42×C11C2×C412yes—
102C2×C42×C11C2×C411yescharacteristic
103C2×C42×C11C2×C411yescharacteristic
104C2×C42×C11C2×C411yescharacteristic
105C2×C42×C11C2×C411yescharacteristic
106C2×C42×C11D411yescharacteristic
107C2×C42×C11D411yescharacteristic
108C2×C42×C11D411yescharacteristic
109C2×C42×C11D411yescharacteristic
110C2×C42×C11D411yescharacteristic
111C2×C42×C11D411yescharacteristic
112C2×C42×C11D411yescharacteristic
113C2×C42×C11D411yescharacteristic
114C2×C22⋊Dic11C2314yes—
115C2×C22⋊Dic11C2314yes—
116#66979—44no—
117C2×C4⋊Dic11—22no—
118C2×C4⋊Dic11—22no—
119C2×C4⋊Dic11—22no—
120C2×C4⋊Dic11—22no—
121C2×C4×Dic11—22no—
122C2×C4×Dic11—22no—
123#66898—48no—
124C11⋊#95—22no—
125C11⋊#95—22no—
126C11⋊#95—22no—
127C11⋊#95—22no—
128C11⋊#95—22no—
129C11⋊#95—22no—
130#21875—111nomaximal, Sylow
131C24×C11C22×C412yes—
132C24×C11C2411yescharacteristic
133C2×Q8×C11—21no—
134C2×Q8×C11—21no—
135C2×Q8×C11—42no—
136C2×D4×C11—22no—
137C2×D4×C11—22no—
138C2×D4×C11—24no—
139C2×D4×C11—24no—
140C2×D4×C11—21no—
141C2×D4×C11—21no—
142C2×D4×C11—42no—
143C22×C4×C11—22no—
144C22×C4×C11—22no—
145C22×C4×C11—22no—
146C22×C4×C11—22no—
147C22×C4×C11—42no—
148C22×C4×C11—42no—
149C22×C4×C11—44no—
150C22×C4×C11C22×C412yes—
151C22×C4×C11C22×C411yescharacteristic
152C22×C4×C11C22×C411yescharacteristic
153C22×C4×C11C22×C411yescharacteristic
154C22×C4×C11C22×C411yescharacteristic
155C22×C4×C11C22×C412yes—
156C22×C4×C11C22×C412yes—
157C22×C4×C11C22×C411yescharacteristic
158C22×C4×C11C22×C411yescharacteristic
159C22×C4×C11C2×D411yescharacteristic
160C22×C4×C11C2×D411yescharacteristic
161C22×C4×C11C2×D411yescharacteristic
162C22×C4×C11C2×D411yescharacteristic
163C22×C4×C11C2×D411yescharacteristic
164C22×C4×C11C2×D411yescharacteristic
165C22×C4×C11C2×D411yescharacteristic
166C22×C4×C11C2×D411yescharacteristic
167C22×C4×C11C2×D411yescharacteristic
168C22×C4×C11C2×D411yescharacteristic
169C22×C4×C11C2×D411yescharacteristic
170C22×C4×C11C2×D411yescharacteristic
171C22×Dic11—24no—
172C22×Dic11—24no—
173C11×C4⋊C4—22no—
174C11×C4⋊C4—22no—
175C11×C4⋊C4—22no—
176C11×C4⋊C4—22no—
177C11×C4⋊C4—21no—
178C11×C4⋊C4—21no—
179C11×C4⋊C4—22no—
180C11×C4⋊C4—22no—
181C11×C4⋊C4—21no—
182C11×C4⋊C4—21no—
183C11×C4⋊C4—22no—
184C11×C4⋊C4—22no—
185C11×C22⋊C4—22no—
186C11×C22⋊C4—22no—
187C11×C22⋊C4—22no—
188C11×C22⋊C4—22no—
189C11×C22⋊C4—22no—
190C11×C22⋊C4—22no—
191C11×C22⋊C4—22no—
192C11×C22⋊C4—22no—
193C11×C22⋊C4—22no—
194C11×C22⋊C4—22no—
195C42×C11—22no—
196C42×C11—22no—
197C42×C11C22⋊C411yescharacteristic
198C42×C11C22⋊C411yescharacteristic
199C42×C11C22⋊C411yescharacteristic
200C42×C11C22⋊C411yescharacteristic
201C42×C11C22⋊C411yescharacteristic
202C42×C11C22⋊C411yescharacteristic
203C42×C11C22⋊C411yescharacteristic
204C42×C11C22⋊C411yescharacteristic
205C42×C11C22⋊C411yescharacteristic
206C42×C11C22⋊C411yescharacteristic
207C42×C11C22⋊C411yescharacteristic
208C42×C11C22⋊C411yescharacteristic
209C42×C11C22⋊C411yescharacteristic
210C42×C11C22⋊C411yescharacteristic
211C42×C11C22⋊C411yescharacteristic
212C42×C11C22⋊C411yescharacteristic
213C22⋊Dic11—24no—
214C22⋊Dic11—28no—
215C22⋊Dic11—24no—
216C4⋊Dic11—44no—
217C4⋊Dic11—44no—
218C4⋊Dic11—44no—
219C4⋊Dic11—44no—
220C4×Dic11—44no—
221C4×Dic11—44no—
222C2×#529D1111yescharacteristic
223#2285—111no—
224#2283—111no—
225#1996—112no—
226#1964—112no—
227#1899—114no—
228#1799—114no—
229C23×C11—22no—
230C23×C11—24no—
231C23×C11—41no—
232C23×C11—41no—
233C23×C11—42no—
234C23×C11—42no—
235C23×C11C23×C411yescharacteristic
236C23×C11C22×D411yescharacteristic
237C23×C11C22×D411yescharacteristic
238C23×C11H(5,𝔽2)12yes—
239C23×C112−1+412yes—
240Q8×C11—42no—
241Q8×C11—42no—
242D4×C11—42no—
243D4×C11—42no—
244D4×C11—42no—
245D4×C11—44no—
246D4×C11—42no—
247C2×C4×C11—22no—
248C2×C4×C11—22no—
249C2×C4×C11—21no—
250C2×C4×C11—21no—
251C2×C4×C11—21no—
252C2×C4×C11—21no—
253C2×C4×C11—22no—
254C2×C4×C11—22no—
255C2×C4×C11—22no—
256C2×C4×C11—22no—
257C2×C4×C11—22no—
258C2×C4×C11—22no—
259C2×C4×C11—22no—
260C2×C4×C11—22no—
261C2×C4×C11—22no—
262C2×C4×C11—22no—
263C2×C4×C11—22no—
264C2×C4×C11—24no—
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—44no—
272C2×C4×C11—44no—
273C2×C4×C11—42no—
274C2×C4×C11—42no—
275C2×C4×C11C2×C22⋊C411yescharacteristic
276C2×C4×C11C2×C22⋊C411yescharacteristic
277C2×C4×C11C2×C22⋊C411yescharacteristic
278C2×C4×C11C2×C22⋊C411yescharacteristic
279C2×C4×C11C2×C22⋊C411yescharacteristic
280C2×C4×C11C2×C22⋊C411yescharacteristic
281C2×C4×C11C2×C22⋊C411yescharacteristic
282C2×C4×C11C2×C22⋊C411yescharacteristic
283C2×C4×C11C2×C22⋊C411yescharacteristic
284C2×C4×C11C2×C22⋊C411yescharacteristic
285C2×C4×C11C2×C22⋊C411yescharacteristic
286C2×C4×C11C2×C22⋊C411yescharacteristic
287C2×Dic11—44no—
288C2×Dic11—44no—
289C2×Dic11—44no—
290C2×Dic11—44no—
291C2×Dic11—44no—
292C2×Dic11—44no—
293#529—21no—
294#529—21no—
295#529—21no—
296#529—21no—
297#529—21no—
298#529—21no—
299#529—21no—
300#529—21no—
301C2×#126Dic1112yescomplemented
302C2×#125Dic1111yescharacteristic, complemented
303C2×#124Dic1111yescharacteristic, complemented
304C2×#123C2×D1112yes—
305C2×C22⋊Q8C2×D1111yescharacteristic
306C2×#121C2×D1111yescharacteristic
307C2×C4×Q8Dic1111yescharacteristic, complemented
308C2×C4×D4Dic1111yescharacteristic, complemented
309C2×C4×D4C2×D1112yes—
310C2×#117—112no—
311C2×#117Dic1112yescomplemented
312C22×C42C2×D1111yescharacteristic
313C2×#99—118no—
314#384—221no—
315#383—221no—
316#382—221no—
317#382—221no—
318#381—112no—
319#380—112no—
320#380—112no—
321#380—112no—
322C4×C4⋊C4—221no—
323C4×C4⋊C4—221no—
324C4×C4⋊C4—221no—
325C4×C22⋊C4—112no—
326#376—221no—
327#342—118no—
328C22×C11—21no—
329C22×C11—21no—
330C22×C11—21no—
331C22×C11—21no—
332C22×C11—21no—
333C22×C11—21no—
334C22×C11—42no—
335C22×C11—42no—
336C22×C11—42no—
337C22×C11—42no—
338C22×C11—42no—
339C22×C11—84no—
340C22×C11C22×C22⋊C411yescharacteristic
341C22×C11#52012yes—
342C22×C11#53511yescharacteristic
343C22×C11#53611yescharacteristic
344C22×C11#53712yes—
345C4×C11—21no—
346C4×C11—21no—
347C4×C11—21no—
348C4×C11—21no—
349C4×C11—21no—
350C4×C11—21no—
351C4×C11—21no—
352C4×C11—21no—
353C4×C11—21no—
354C4×C11—21no—
355C4×C11—42no—
356C4×C11—42no—
357C4×C11—42no—
358C4×C11#41012yes—
359C4×C11#41012yes—
360Dic11—84no—
361Dic11—84no—
362C22×Q8C2×Dic1111yescharacteristic
363C22×D4C2×Dic1111yescharacteristic
364C22×D4C22×D1112yes—
365C23×C4C2×Dic1112yes—
366C23×C4C22×D1111yescharacteristic
367C23×C4C22×D1111yescharacteristic
368C23×C4C22×D1111yescharacteristic
369#126—22no—
370#126—22no—
371#126—22no—
372#126—22no—
373#125—21no—
374#125—21no—
375#125—21no—
376#125—21no—
377#124—21no—
378#124—21no—
379#124—21no—
380#124—21no—
381#123—22no—
382#123—22no—
383#123—22no—
384#123—22no—
385C22⋊Q8—21no—
386C22⋊Q8—21no—
387C22⋊Q8—21no—
388C22⋊Q8—21no—
389#121—21no—
390#121—21no—
391#121—21no—
392#121—21no—
393C4×Q8—21no—
394C4×Q8—21no—
395C4×Q8—21no—
396C4×Q8—21no—
397C4×D4—22no—
398C4×D4—22no—
399C4×D4—22no—
400C4×D4—22no—
401C4×D4—21no—
402C4×D4—21no—
403C4×D4—21no—
404C4×D4—21no—
405#117—22no—
406#117—22no—
407#117—22no—
408#117—22no—
409#117—444no—
410C2×C4⋊C4—222no—
411C2×C4⋊C4—222no—
412C2×C4⋊C4—222no—
413C2×C4⋊C4—222no—
414C2×C4⋊C4C2×Dic1112yes—
415C2×C4⋊C4C2×Dic1112yes—
416C2×C4⋊C4C2×Dic1111yescharacteristic
417C2×C4⋊C4C2×Dic1112yes—
418C2×C4⋊C4C2×Dic1111yescharacteristic
419C2×C4⋊C4C2×Dic1112yes—
420C2×C22⋊C4—114no—
421C2×C22⋊C4—114no—
422C2×C22⋊C4C2×Dic1112yes—
423C2×C22⋊C4C2×Dic1112yes—
424C2×C22⋊C4C2×Dic1112yes—
425C2×C22⋊C4C2×Dic1112yes—
426C2×C22⋊C4C22×D1112yes—
427C2×C42—222no—
428C2×C42—222no—
429C2×C42C2×Dic1112yes—
430C2×C42C2×Dic1111yescharacteristic
431C2×C42C2×Dic1111yescharacteristic
432C2×C42C2×Dic1111yescharacteristic
433C2×C42C2×Dic1111yescharacteristic
434C2×C42C22⋊D1111yescharacteristic
435C2×C42C22⋊D1111yescharacteristic
436C2×C42C22⋊D1111yescharacteristic
437C2×C42C22⋊D1111yescharacteristic
438C2×C42C22⋊D1111yescharacteristic
439C2×C42C22⋊D1111yescharacteristic
440C2×C42C22⋊D1111yescharacteristic
441C2×C42C22⋊D1111yescharacteristic
442#99—448no—
443#95—222no—
444#95—222no—
445#95—222no—
446#95—222no—
447#95—222no—
448#95—222no—
449C2×C11—21no—
450C2×C11—22no—
451C2×C11—22no—
452C2×C11—21no—
453C2×C11—82no—
454C2×C11#231111yescharacteristic
455C2×C11C2×#41011yescharacteristic
456C2×C11C2×#41011yescharacteristic
457C24C22×Dic1112yes—
458C24C23×D1111yescharacteristic
459C2×Q8—21no—
460C2×Q8—21no—
461C2×Q8—42no—
462C2×D4—24no—
463C2×D4—24no—
464C2×D4—22no—
465C2×D4—22no—
466C2×D4—21no—
467C2×D4—21no—
468C2×D4—42no—
469C22×C4—22no—
470C22×C4—22no—
471C22×C4—22no—
472C22×C4—22no—
473C22×C4—42no—
474C22×C4—42no—
475C22×C4—44no—
476C22×C4—224no—
477C22×C4—224no—
478C22×C4C22×Dic1112yes—
479C22×C4C22×Dic1111yescharacteristic
480C22×C4C22×Dic1111yescharacteristic
481C22×C4C22×Dic1111yescharacteristic
482C22×C4C22×Dic1111yescharacteristic
483C22×C4C22×Dic1112yes—
484C22×C4C22×Dic1112yes—
485C22×C4C22×Dic1111yescharacteristic
486C22×C4C22×Dic1111yescharacteristic
487C22×C4C2×C22⋊D1111yescharacteristic
488C22×C4C2×C22⋊D1111yescharacteristic
489C22×C4C2×C22⋊D1111yescharacteristic
490C22×C4C2×C22⋊D1111yescharacteristic
491C22×C4C2×C22⋊D1111yescharacteristic
492C22×C4C2×C22⋊D1111yescharacteristic
493C22×C4C2×C22⋊D1111yescharacteristic
494C22×C4C2×C22⋊D1111yescharacteristic
495C22×C4C2×C22⋊D1111yescharacteristic
496C22×C4C2×C22⋊D1111yescharacteristic
497C22×C4C2×C22⋊D1111yescharacteristic
498C22×C4C2×C22⋊D1111yescharacteristic
499C4⋊C4—22no—
500C4⋊C4—22no—
501C4⋊C4—22no—
502C4⋊C4—22no—
503C4⋊C4—21no—
504C4⋊C4—21no—
505C4⋊C4—22no—
506C4⋊C4—22no—
507C4⋊C4—21no—
508C4⋊C4—21no—
509C4⋊C4—22no—
510C4⋊C4—22no—
511C4⋊C4—444no—
512C4⋊C4—444no—
513C4⋊C4—444no—
514C4⋊C4—444no—
515C22⋊C4—22no—
516C22⋊C4—22no—
517C22⋊C4—22no—
518C22⋊C4—22no—
519C22⋊C4—22no—
520C22⋊C4—22no—
521C22⋊C4—22no—
522C22⋊C4—22no—
523C22⋊C4—22no—
524C22⋊C4—22no—
525C22⋊C4—224no—
526C22⋊C4—228no—
527C22⋊C4—224no—
528C42—22no—
529C42—22no—
530C42—444no—
531C42—444no—
532C42C22⋊Dic1111yescharacteristic
533C42C22⋊Dic1111yescharacteristic
534C42C22⋊Dic1111yescharacteristic
535C42C22⋊Dic1111yescharacteristic
536C42C22⋊Dic1111yescharacteristic
537C42C22⋊Dic1111yescharacteristic
538C42C22⋊Dic1111yescharacteristic
539C42C22⋊Dic1111yescharacteristic
540C42C22⋊Dic1111yescharacteristic
541C42C22⋊Dic1111yescharacteristic
542C42C22⋊Dic1111yescharacteristic
543C42C22⋊Dic1111yescharacteristic
544C42C22⋊Dic1111yescharacteristic
545C42C22⋊Dic1111yescharacteristic
546C42C22⋊Dic1111yescharacteristic
547C42C22⋊Dic1111yescharacteristic
548C11#2187511yescharacteristic, complemented, Sylow
549C23—22no—
550C23—24no—
551C23—41no—
552C23—41no—
553C23—42no—
554C23—42no—
555C23#6704212yes—
556C23#6704312yes—
557C23C23×Dic1111yescharacteristic
558C23C22×C22⋊D1111yescharacteristic
559C23C22×C22⋊D1111yescharacteristic
560Q8—42no—
561Q8—42no—
562D4—42no—
563D4—42no—
564D4—42no—
565D4—44no—
566D4—42no—
567C2×C4—21no—
568C2×C4—21no—
569C2×C4—22no—
570C2×C4—22no—
571C2×C4—21no—
572C2×C4—21no—
573C2×C4—22no—
574C2×C4—22no—
575C2×C4—22no—
576C2×C4—22no—
577C2×C4—22no—
578C2×C4—22no—
579C2×C4—22no—
580C2×C4—22no—
581C2×C4—24no—
582C2×C4—22no—
583C2×C4—22no—
584C2×C4—22no—
585C2×C4—41no—
586C2×C4—41no—
587C2×C4—41no—
588C2×C4—41no—
589C2×C4—41no—
590C2×C4—41no—
591C2×C4—44no—
592C2×C4—44no—
593C2×C4—42no—
594C2×C4—42no—
595C2×C4—444no—
596C2×C4—444no—
597C2×C4—444no—
598C2×C4—444no—
599C2×C4—444no—
600C2×C4—444no—
601C2×C4C2×C22⋊Dic1111yescharacteristic
602C2×C4C2×C22⋊Dic1111yescharacteristic
603C2×C4C2×C22⋊Dic1111yescharacteristic
604C2×C4C2×C22⋊Dic1111yescharacteristic
605C2×C4C2×C22⋊Dic1111yescharacteristic
606C2×C4C2×C22⋊Dic1111yescharacteristic
607C2×C4C2×C22⋊Dic1111yescharacteristic
608C2×C4C2×C22⋊Dic1111yescharacteristic
609C2×C4C2×C22⋊Dic1111yescharacteristic
610C2×C4C2×C22⋊Dic1111yescharacteristic
611C2×C4C2×C22⋊Dic1111yescharacteristic
612C2×C4C2×C22⋊Dic1111yescharacteristic
613C22—21no—
614C22—21no—
615C22—21no—
616C22—21no—
617C22—21no—
618C22—21no—
619C22—42no—
620C22—42no—
621C22—42no—
622C22—42no—
623C22—42no—
624C22—84no—
625C22#1062335611yescharacteristic
626C22#1062335812yes—
627C22#1062336111yescharacteristic
628C22#1062336412yes—
629C22C22×C22⋊Dic1111yescharacteristic
630C4—21no—
631C4—21no—
632C4—21no—
633C4—21no—
634C4—21no—
635C4—21no—
636C4—21no—
637C4—21no—
638C4—21no—
639C4—21no—
640C4—42no—
641C4—42no—
642C4—42no—
643C4—884no—
644C4—884no—
645C4#1062285312yes—
646C4#1062285312yes—
647C2—21no—
648C2—22no—
649C2—22no—
650C2—21no—
651C2—82no—
652C2#1307120811yescharacteristic
653C2C2×#1062285311yescharacteristic
654C2C2×#1062285311yescharacteristic
subgroupG/H
centerC22C22×C22⋊Dic11
commutatorC23×C11C23×C4
FrattiniC24C23×D11
FittingC2×C11×#529C2
socleC22×C11C22×C22⋊C4
prime radicalC2×C11×#121C22
cosocleC24×C11C24
hypercenterC2×#529D11
hypocenterC11#21875
LCSG ▷ C23×C11 ▷ C2×C11 ▷ C11
UCSC1 ◁ C22 ◁ C22×C42 ◁ C2×#529

Complements

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

NH ≅ G/Ntype
1. #13071023C2semidirect
2. #13071014C2semidirect
3. #13069602C2semidirect
5. #13069075C2semidirect
6. #13068604C2semidirect
16. C2×C11×#126C4semidirect
17. C2×C11×#125C4semidirect
18. C2×C11×#124C4semidirect
22. C2×C4×Q8×C11C4semidirect
23. C2×C4×D4×C11C4semidirect
25. C2×C11×#117C4semidirect
301. C2×#126Dic11semidirect
302. C2×#125Dic11semidirect
303. C2×#124Dic11semidirect
307. C2×C4×Q8Dic11semidirect
308. C2×C4×D4Dic11semidirect
311. C2×#117Dic11semidirect
548. C11#21875semidirect

Maximal subgroups

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

subgroupindex
#130710232
#130710142
#130696022
#130694532
#130690752
#130686042
C2×C11×#5292
#2187511