Finite Group Databasebeta

← C2×#13071354 #14912601

Subgroups — C2×#13071354 #14912601

Order 2816.

2398 conjugacy classes of subgroups.

The subgroup lattice has 664 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×#66942C211yesmaximal, characteristic
2#13071354C2116yesmaximal, direct product factor
3C2×#10622260C211yesmaximal, characteristic
4C2×#10622586C211yesmaximal, characteristic
5C2×#10622585C211yesmaximal, characteristic
6C2×#10622585C211yesmaximal, characteristic
7C2×#10622585C211yesmaximal, characteristic
8C2×#10622594C211yesmaximal, characteristic
9C2×#10622546C211yesmaximal, characteristic
10C2×#10622267C211yesmaximal, characteristic
11C2×#10622591C211yesmaximal, characteristic
12C2×#10622589C211yesmaximal, characteristic
13C2×C4×Dic11⋊C4C211yesmaximal, characteristic
14C2×#10622262C211yesmaximal, characteristic
15C2×#10622261C211yesmaximal, characteristic
16C2×C11×#389C211yesmaximal, characteristic
17C22×C11×C4⋊C4C2211yescharacteristic
18C22×C11×C4⋊C4C2211yescharacteristic
19C22×C11×C4⋊C4C2211yescharacteristic
20C22×C11×C4⋊C4C2211yescharacteristic
21C22×C42×C11C2211yescharacteristic
22C22×C4⋊Dic11C2211yescharacteristic
23C22×C4⋊Dic11C2211yescharacteristic
24C22×Dic11⋊C4C2211yescharacteristic
25C22×Dic11⋊C4C2211yescharacteristic
26C22×Dic11⋊C4C2211yescharacteristic
27C22×Dic11⋊C4C2211yescharacteristic
28C22×Dic11⋊C4C2211yescharacteristic
29C22×Dic11⋊C4C2211yescharacteristic
30C22×Dic11⋊C4C2211yescharacteristic
31C22×Dic11⋊C4C2211yescharacteristic
32C22×Dic11⋊C4C2211yescharacteristic
33C22×Dic11⋊C4C2211yescharacteristic
34C22×C4×Dic11C2211yescharacteristic
35C22×C4×Dic11C2211yescharacteristic
36C22×C4×Dic11C2211yescharacteristic
37C22×C4×Dic11C2211yescharacteristic
38C22×C4×Dic11C2211yescharacteristic
39C22×C4×Dic11C2211yescharacteristic
40C2×#66942C4116yescomplemented
41C2×#66942C2218yes—
42C11×#389C2218yes—
43C2×C11×#95C2211yescharacteristic
44C2×C11×#95C2211yescharacteristic
45C2×C11⋊#95C2211yescharacteristic
46C2×C11⋊#95C2211yescharacteristic
47C2×C11⋊#95C2211yescharacteristic
48C2×C11⋊#95C2211yescharacteristic
49C2×C11⋊#95C2211yescharacteristic
50C2×C11⋊#95C2211yescharacteristic
51C2×C11⋊#95C2211yescharacteristic
52C2×C11⋊#95C2211yescharacteristic
53C2×C11⋊#95C2211yescharacteristic
54C2×C11⋊#95C2211yescharacteristic
55#10622594C2218yes—
56#10622591C2218yes—
57#10622589C2218yes—
58#10622586C2218yes—
59#10622585C2218yes—
60#10622585C2218yes—
61#10622585C2218yes—
62#10622546C2218yes—
63C4×Dic11⋊C4C2218yes—
64#10622267C2218yes—
65#10622262C2218yes—
66#10622261C2218yes—
67#10622260C2218yes—
68C23×C4×C11C2311yescharacteristic
69C23×C4×C11C2311yescharacteristic
70C23×C4×C11C2311yescharacteristic
71C23×C4×C11C2311yescharacteristic
72C23×C4×C11C2311yescharacteristic
73C23×C4×C11C2311yescharacteristic
74C23×C4×C11C2311yescharacteristic
75C23×Dic11C2311yescharacteristic
76C23×Dic11C2311yescharacteristic
77C23×Dic11C2311yescharacteristic
78C23×Dic11C2311yescharacteristic
79C23×Dic11C2311yescharacteristic
80C23×Dic11C2311yescharacteristic
81C23×Dic11C2311yescharacteristic
82C23×Dic11C2311yescharacteristic
83C2×C11×C4⋊C4—42no—
84C2×C11×C4⋊C4—42no—
85C2×C11×C4⋊C4—42no—
86C2×C11×C4⋊C4C2×C418yes—
87C2×C11×C4⋊C4C2314yes—
88C2×C11×C4⋊C4C2314yes—
89C2×C11×C4⋊C4C2314yes—
90C2×C11×C4⋊C4C2314yes—
91C2×C42×C11—42no—
92C2×C42×C11C2314yes—
93C2×C4⋊Dic11—42no—
94C2×C4⋊Dic11C2×C418yes—
95C2×C4⋊Dic11C2314yes—
96C2×C4⋊Dic11C2314yes—
97C2×Dic11⋊C4—24no—
98C2×Dic11⋊C4—24no—
99C2×Dic11⋊C4—42no—
100C2×Dic11⋊C4—42no—
101C2×Dic11⋊C4—42no—
102C2×Dic11⋊C4—42no—
103C2×Dic11⋊C4C2×C418yes—
104C2×Dic11⋊C4C2×C418yes—
105C2×Dic11⋊C4C2×C418yes—
106C2×Dic11⋊C4C2×C418yes—
107C2×Dic11⋊C4C2314yes—
108C2×Dic11⋊C4C2314yes—
109C2×Dic11⋊C4C2314yes—
110C2×Dic11⋊C4C2314yes—
111C2×Dic11⋊C4C2314yes—
112C2×Dic11⋊C4C2314yes—
113C2×Dic11⋊C4C2314yes—
114C2×Dic11⋊C4C2314yes—
115C2×Dic11⋊C4C2314yes—
116C2×Dic11⋊C4C2314yes—
117C2×C4×Dic11—24no—
118C2×C4×Dic11—42no—
119C2×C4×Dic11—42no—
120C2×C4×Dic11—42no—
121C2×C4×Dic11C2×C418yes—
122C2×C4×Dic11Q818yes—
123C2×C4×Dic11C2314yes—
124C2×C4×Dic11C2314yes—
125C2×C4×Dic11C2314yes—
126C2×C4×Dic11C2314yes—
127C2×C4×Dic11C2314yes—
128C2×C4×Dic11C2314yes—
129#66942C2×C4164yescomplemented
130C11×#95C2314yes—
131C11×#95C2314yes—
132C11⋊#95C2314yes—
133C11⋊#95C2314yes—
134C11⋊#95C2314yes—
135C11⋊#95C2314yes—
136C11⋊#95C2314yes—
137C11⋊#95C2314yes—
138C11⋊#95C2314yes—
139C11⋊#95C2314yes—
140C11⋊#95C2314yes—
141C11⋊#95C2314yes—
142C2×#2330—111nomaximal, Sylow
143C24×C11C2411yescharacteristic
144C22×C4×C11—22no—
145C22×C4×C11—22no—
146C22×C4×C11—22no—
147C22×C4×C11—22no—
148C22×C4×C11—22no—
149C22×C4×C11—22no—
150C22×C4×C11—22no—
151C22×C4×C11—22no—
152C22×C4×C11—22no—
153C22×C4×C11—22no—
154C22×C4×C11—22no—
155C22×C4×C11—22no—
156C22×C4×C11—22no—
157C22×C4×C11—22no—
158C22×C4×C11—22no—
159C22×C4×C11—22no—
160C22×C4×C11—22no—
161C22×C4×C11C22×C414yes—
162C22×C4×C11C22×C414yes—
163C22×C4×C11C22×C414yes—
164C22×C4×C11C2×Q814yes—
165C22×C4×C11C2412yes—
166C22×C4×C11C2412yes—
167C22×C4×C11C2412yes—
168C22×C4×C11C2412yes—
169C22×C4×C11C2412yes—
170C22×C4×C11C2412yes—
171C22×C4×C11C2412yes—
172C22×Dic11—22no—
173C22×Dic11—22no—
174C22×Dic11—22no—
175C22×Dic11—22no—
176C22×Dic11—22no—
177C22×Dic11—22no—
178C22×Dic11—22no—
179C22×Dic11—22no—
180C22×Dic11—22no—
181C22×Dic11—22no—
182C22×Dic11—22no—
183C22×Dic11—22no—
184C22×Dic11—22no—
185C22×Dic11—22no—
186C22×Dic11—22no—
187C22×Dic11—22no—
188C22×Dic11—22no—
189C22×Dic11C22×C414yes—
190C22×Dic11C22×C414yes—
191C22×Dic11C22×C414yes—
192C22×Dic11C22×C414yes—
193C22×Dic11C2×Q814yes—
194C22×Dic11C2×Q814yes—
195C22×Dic11#4114yes—
196C22×Dic11C2412yes—
197C22×Dic11C2412yes—
198C22×Dic11C2412yes—
199C22×Dic11C2412yes—
200C22×Dic11C2412yes—
201C22×Dic11C2412yes—
202C22×Dic11C2412yes—
203C22×Dic11C2412yes—
204C11×C4⋊C4—44no—
205C11×C4⋊C4—44no—
206C11×C4⋊C4—44no—
207C11×C4⋊C4C22×C4116yes—
208C42×C11—44no—
209C4⋊Dic11—44no—
210C4⋊Dic11C22×C4116yes—
211Dic11⋊C4—28no—
212Dic11⋊C4—28no—
213Dic11⋊C4—44no—
214Dic11⋊C4—44no—
215Dic11⋊C4—44no—
216Dic11⋊C4—44no—
217Dic11⋊C4C22×C4116yes—
218Dic11⋊C4C22×C4116yes—
219Dic11⋊C4C22×C4116yes—
220Dic11⋊C4C22×C4116yes—
221C4×Dic11—28no—
222C4×Dic11—44no—
223C4×Dic11—44no—
224C4×Dic11—44no—
225C4×Dic11C22×C4116yes—
226C4×Dic11C2×Q8116yes—
227C22×#125—111no—
228#2330—1116no—
229C2×#389—111no—
230C2×#389—111no—
231C2×#389—111no—
232C2×#389—111no—
233C2×#389—111no—
234C2×#389D1111yescharacteristic
235C2×#387—111no—
236C2×#387—111no—
237C2×#387—111no—
238C2×#387—111no—
239C2×#384—111no—
240C2×C4×C4⋊C4—111no—
241C2×C4×C4⋊C4—111no—
242C2×#376—111no—
243C23×C11C23×C412yes—
244C23×C11C22×Q812yes—
245C23×C11C2×#4112yes—
246C23×C11H(5,𝔽2)12yes—
247C23×C11H(5,𝔽2)12yes—
248C23×C112−1+412yes—
249C23×C112−1+412yes—
250C23×C11C2511yescharacteristic
251C2×C4×C11—28no—
252C2×C4×C11—28no—
253C2×C4×C11—28no—
254C2×C4×C11—28no—
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—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—44no—
273C2×C4×C11—44no—
274C2×C4×C11—44no—
275C2×C4×C11C23×C414yes—
276C2×C4×C11C23×C414yes—
277C2×C4×C11C23×C414yes—
278C2×C4×C11C22×Q814yes—
279C2×Dic11—28no—
280C2×Dic11—28no—
281C2×Dic11—28no—
282C2×Dic11—28no—
283C2×Dic11—22no—
284C2×Dic11—22no—
285C2×Dic11—22no—
286C2×Dic11—22no—
287C2×Dic11—22no—
288C2×Dic11—22no—
289C2×Dic11—22no—
290C2×Dic11—22no—
291C2×Dic11—22no—
292C2×Dic11—22no—
293C2×Dic11—22no—
294C2×Dic11—22no—
295C2×Dic11—22no—
296C2×Dic11—22no—
297C2×Dic11—22no—
298C2×Dic11—22no—
299C2×Dic11—22no—
300C2×Dic11—44no—
301C2×Dic11—44no—
302C2×Dic11—44no—
303C2×Dic11C4×Q8116yes—
304C2×Dic11C23×C414yes—
305C2×Dic11C23×C414yes—
306C2×Dic11C23×C414yes—
307C2×Dic11C23×C414yes—
308C2×Dic11C22×Q814yes—
309C2×Dic11C22×Q814yes—
310C2×Dic11C2×#4114yes—
311C2×#125—118no—
312C2×#125—1116no—
313C22×C4⋊C4—111no—
314C22×C4⋊C4—111no—
315C22×C4⋊C4—111no—
316C22×C4⋊C4—111no—
317C22×C4⋊C4—111no—
318C22×C4⋊C4—111no—
319C22×C4⋊C4—111no—
320C22×C4⋊C4—111no—
321C22×C4⋊C4—111no—
322C22×C4⋊C4—111no—
323C22×C4⋊C4—111no—
324C22×C4⋊C4—111no—
325C22×C4⋊C4C2×D1111yescharacteristic
326C22×C4⋊C4C2×D1111yescharacteristic
327C22×C4⋊C4C2×D1111yescharacteristic
328C22×C4⋊C4C2×D1111yescharacteristic
329C22×C42—111no—
330C22×C42—111no—
331C22×C42—111no—
332C22×C42—111no—
333C22×C42—111no—
334C22×C42—111no—
335C22×C42C2×D1111yescharacteristic
336#389—118no—
337#389—118no—
338#389—118no—
339#389—118no—
340#389—118no—
341#389C2×D1118yes—
342#387—118no—
343#387—118no—
344#387—118no—
345#387—118no—
346#384—118no—
347C4×C4⋊C4—118no—
348C4×C4⋊C4—118no—
349#376—118no—
350C2×#95—111no—
351C2×#95—111no—
352C2×#95—111no—
353C2×#95—111no—
354C2×#95—111no—
355C2×#95—111no—
356C2×#95—111no—
357C2×#95—111no—
358C2×#95—111no—
359C2×#95—111no—
360C2×#95C2×D1111yescharacteristic
361C2×#95C2×D1111yescharacteristic
362C22×C11C2×C4×Q814yes—
363C22×C11#52014yes—
364C22×C11#52014yes—
365C22×C11#54014yes—
366C22×C11#54114yes—
367C22×C11#54414yes—
368C22×C11#54414yes—
369C22×C11C24×C411yescharacteristic
370C22×C11C23×Q811yescharacteristic
371C22×C11C22×#4111yescharacteristic
372C22×C11C2×H(5,𝔽2)11yescharacteristic
373C22×C11C2×H(5,𝔽2)11yescharacteristic
374C22×C11C2×2−1+411yescharacteristic
375C22×C11C2×2−1+411yescharacteristic
376C4×C11—24no—
377C4×C11—24no—
378C4×C11—24no—
379C4×C11—24no—
380C4×C11—42no—
381C4×C11—42no—
382C4×C11—42no—
383Dic11—24no—
384Dic11—24no—
385Dic11—24no—
386Dic11—24no—
387Dic11—42no—
388Dic11—42no—
389Dic11—42no—
390Dic11C2×C4×Q818yes—
391C23×C4—111no—
392C23×C4—111no—
393C23×C4—111no—
394C23×C4—111no—
395C23×C4—111no—
396C23×C4—111no—
397C23×C4—111no—
398C23×C4—111no—
399C23×C4C22×D1111yescharacteristic
400C23×C4C22×D1111yescharacteristic
401C23×C4C22×D1111yescharacteristic
402C23×C4C22×D1111yescharacteristic
403C23×C4C22×D1111yescharacteristic
404C23×C4C22×D1111yescharacteristic
405C23×C4C22×D1111yescharacteristic
406#125—1164no—
407C2×C4⋊C4—42no—
408C2×C4⋊C4—42no—
409C2×C4⋊C4—42no—
410C2×C4⋊C4—118no—
411C2×C4⋊C4—118no—
412C2×C4⋊C4—118no—
413C2×C4⋊C4—118no—
414C2×C4⋊C4—118no—
415C2×C4⋊C4—114no—
416C2×C4⋊C4—114no—
417C2×C4⋊C4—114no—
418C2×C4⋊C4—114no—
419C2×C4⋊C4—114no—
420C2×C4⋊C4—114no—
421C2×C4⋊C4—114no—
422C2×C4⋊C4—114no—
423C2×C4⋊C4—114no—
424C2×C4⋊C4—114no—
425C2×C4⋊C4—114no—
426C2×C4⋊C4—114no—
427C2×C4⋊C4—224no—
428C2×C4⋊C4—224no—
429C2×C4⋊C4—442no—
430C2×C4⋊C4—442no—
431C2×C4⋊C4—442no—
432C2×C4⋊C4—442no—
433C2×C4⋊C4—442no—
434C2×C4⋊C4C4×D1118yes—
435C2×C4⋊C4C22×D1114yes—
436C2×C4⋊C4C22×D1114yes—
437C2×C4⋊C4C22×D1114yes—
438C2×C4⋊C4C22×D1114yes—
439C2×C42—42no—
440C2×C42—118no—
441C2×C42—118no—
442C2×C42—114no—
443C2×C42—114no—
444C2×C42—114no—
445C2×C42—114no—
446C2×C42—114no—
447C2×C42—114no—
448C2×C42—224no—
449C2×C42—442no—
450C2×C42—442no—
451C2×C42—442no—
452C2×C42C22×D1114yes—
453#95—114no—
454#95—114no—
455#95—114no—
456#95—114no—
457#95—114no—
458#95—114no—
459#95—114no—
460#95—114no—
461#95—114no—
462#95—114no—
463#95C22×D1114yes—
464#95C22×D1114yes—
465C2×C11#233018yescomplemented
466C2×C11C22×C4×Q811yescharacteristic
467C2×C11C2×#52011yescharacteristic
468C2×C11C2×#52011yescharacteristic
469C2×C11C2×#54011yescharacteristic
470C2×C11C2×#54111yescharacteristic
471C2×C11C2×#54411yescharacteristic
472C2×C11C2×#54411yescharacteristic
473C24C23×D1111yescharacteristic
474C22×C4—22no—
475C22×C4—22no—
476C22×C4—22no—
477C22×C4—22no—
478C22×C4—22no—
479C22×C4—22no—
480C22×C4—22no—
481C22×C4—22no—
482C22×C4—22no—
483C22×C4—22no—
484C22×C4—22no—
485C22×C4—22no—
486C22×C4—22no—
487C22×C4—22no—
488C22×C4—22no—
489C22×C4—22no—
490C22×C4—22no—
491C22×C4—114no—
492C22×C4—114no—
493C22×C4—114no—
494C22×C4—112no—
495C22×C4—114no—
496C22×C4—114no—
497C22×C4—114no—
498C22×C4—114no—
499C22×C4—112no—
500C22×C4—112no—
501C22×C4—112no—
502C22×C4—112no—
503C22×C4—112no—
504C22×C4—112no—
505C22×C4—112no—
506C22×C4—222no—
507C22×C4—222no—
508C22×C4—222no—
509C22×C4—222no—
510C22×C4—222no—
511C22×C4—222no—
512C22×C4—222no—
513C22×C4—222no—
514C22×C4—222no—
515C22×C4—222no—
516C22×C4—222no—
517C22×C4—222no—
518C22×C4—222no—
519C22×C4—222no—
520C22×C4—222no—
521C22×C4—222no—
522C22×C4—222no—
523C22×C4C2×C4×D1114yes—
524C22×C4C2×C4×D1114yes—
525C22×C4C2×C4×D1114yes—
526C22×C4Q8×D1114yes—
527C22×C4C23×D1112yes—
528C22×C4C23×D1112yes—
529C22×C4C23×D1112yes—
530C22×C4C23×D1112yes—
531C22×C4C23×D1112yes—
532C22×C4C23×D1112yes—
533C22×C4C23×D1112yes—
534C4⋊C4—44no—
535C4⋊C4—44no—
536C4⋊C4—44no—
537C4⋊C4—1116no—
538C4⋊C4—1116no—
539C4⋊C4—1116no—
540C4⋊C4—1116no—
541C4⋊C4—1116no—
542C4⋊C4—228no—
543C4⋊C4—228no—
544C4⋊C4—444no—
545C4⋊C4—444no—
546C4⋊C4—444no—
547C4⋊C4—444no—
548C4⋊C4—444no—
549C4⋊C4C2×C4×D11116yes—
550C42—44no—
551C42—1116no—
552C42—1116no—
553C42—228no—
554C42—444no—
555C42—444no—
556C42—444no—
557C11C2×#233011yescharacteristic, complemented, Sylow
558C23C22×C4×D1112yes—
559C23#6703712yes—
560C23#6703712yes—
561C23C2×Q8×D1112yes—
562C23#6704012yes—
563C23#41×D1112yes—
564C23#6704312yes—
565C23C24×D1111yescharacteristic
566C2×C4—28no—
567C2×C4—28no—
568C2×C4—28no—
569C2×C4—28no—
570C2×C4—22no—
571C2×C4—22no—
572C2×C4—22no—
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—22no—
582C2×C4—22no—
583C2×C4—22no—
584C2×C4—22no—
585C2×C4—22no—
586C2×C4—22no—
587C2×C4—44no—
588C2×C4—44no—
589C2×C4—44no—
590C2×C4—1116no—
591C2×C4—114no—
592C2×C4—114no—
593C2×C4—114no—
594C2×C4—114no—
595C2×C4—114no—
596C2×C4—114no—
597C2×C4—114no—
598C2×C4—228no—
599C2×C4—228no—
600C2×C4—228no—
601C2×C4—228no—
602C2×C4—222no—
603C2×C4—222no—
604C2×C4—222no—
605C2×C4—222no—
606C2×C4—222no—
607C2×C4—222no—
608C2×C4—222no—
609C2×C4—222no—
610C2×C4—222no—
611C2×C4—222no—
612C2×C4—222no—
613C2×C4—222no—
614C2×C4—222no—
615C2×C4—222no—
616C2×C4—222no—
617C2×C4—222no—
618C2×C4—222no—
619C2×C4—444no—
620C2×C4—444no—
621C2×C4—444no—
622C2×C4C22×C4×D1114yes—
623C2×C4C22×C4×D1114yes—
624C2×C4C22×C4×D1114yes—
625C2×C4C2×Q8×D1114yes—
626C22#1062303514yes—
627C22#1062307714yes—
628C22C4×Q8×D1114yes—
629C22#1062314614yes—
630C22#1062315414yes—
631C22#1062322714yes—
632C22#1062326014yes—
633C22C23×C4×D1111yescharacteristic
634C22C2×#6703711yescharacteristic
635C22C2×#6703711yescharacteristic
636C22C22×Q8×D1111yescharacteristic
637C22C2×#6704011yescharacteristic
638C22C2×#41×D1111yescharacteristic
639C22C2×#6704311yescharacteristic
640C4—24no—
641C4—24no—
642C4—24no—
643C4—24no—
644C4—42no—
645C4—42no—
646C4—42no—
647C4—118no—
648C4—224no—
649C4—224no—
650C4—224no—
651C4—224no—
652C4—442no—
653C4—442no—
654C4—442no—
655C2#1307135418yesdirect product factor
656C2C2×C4×Q8×D1111yescharacteristic
657C2C2×#1062307711yescharacteristic
658C2C2×#1062303511yescharacteristic
659C2C2×#1062314611yescharacteristic
660C2C2×#1062322711yescharacteristic
661C2C2×#1062326011yescharacteristic
662C2C2×#1062315411yescharacteristic
subgroupG/H
centerC24C23×D11
commutatorC22×C11C24×C4
FrattiniC23C24×D11
FittingC2×C11×#389C2
socle, prime radicalC24×C11C24
cosocleC23×C11C25
hypercenterC2×#389D11
hypocenterC11C2×#2330
LCSG ▷ C22×C11 ▷ C11
UCSC1 ◁ C24 ◁ C2×#389

Complements

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

NH ≅ G/Ntype
2. #13071354C2direct (N × H)
40. C2×#66942C4semidirect
129. #66942C2×C4semidirect
465. C2×C11#2330semidirect
557. C11C2×#2330semidirect
655. C2#13071354direct (N × H)

Maximal subgroups

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

subgroupindex
C22×#669422
#130713542
C2×#106222602
C2×#106225862
C2×#106225852
C2×#106225942
C2×#106225462
C2×#106222672
C2×#106225912
C2×#106225892
C2×C4×Dic11⋊C42
C2×#106222622
C2×#106222612
C2×C11×#3892
C2×#233011