Finite Group Databasebeta

← #14720149

Subgroups — #14720149

Order 2816.

1314 conjugacy classes of subgroups.

The subgroup lattice has 654 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C4×#4339C211yesmaximal, characteristic
2C2×#10622538C211yesmaximal, characteristic, complemented
3#13067012C212yesmaximal, complemented
4#13067008C212yesmaximal, complemented
5#13067004C214yesmaximal, complemented
6#13066999C214yesmaximal, complemented
7C2×C11×#431C211yesmaximal, characteristic, complemented
8C22×#4339C411yescharacteristic
9C22×C42×C11C2211yescharacteristic
10C2×C4×C22⋊D11—21no—
11C2×C4×C22⋊D11—21no—
12C2×#66979C411yescharacteristic
13C4×#4339—21no—
14C4×#4339—21no—
15C4×#4339—21no—
16C4×#4339—21no—
17C4×#4339C412yes—
18C4×#4339C412yes—
19C4×#4339C2212yes—
20C4×#4339C2212yes—
21C2×C4×D44C411yescharacteristic
22C2×C4×D44C2211yescharacteristic
23C2×#66925—21no—
24C2×C42×D11—21no—
25C2×C4×Dic22C411yescharacteristic
26C2×C4×Dic22C2211yescharacteristic
27C11×#431—21no—
28C11×#431—21no—
29C11×#431C2212yes—
30C11×#431C2212yescomplemented
31C2×C11×C4⋊C8—21no—
32C2×C11×C22⋊C8—21no—
33C2×C4×C8×C11C2212yescomplemented
34C2×C22⋊(C11⋊C8)—21no—
35#10622538—21no—
36#10622538—21no—
37#10622538C2212yes—
38#10622538C2212yescomplemented
39C2×C4⋊(C11⋊C8)C2212yescomplemented
40C2×C4×C11⋊C8—21no—
41#10622097C2218yescomplemented
42#10622094C2218yescomplemented
43C23×C4×C11C2×C411yescharacteristic
44C23×C4×C11D411yescharacteristic
45C23×C4×C11D411yescharacteristic
46C22×C22⋊D11—21no—
47C2×#4339—21no—
48C2×#4339—21no—
49C2×#4339—24no—
50C2×#4339C818yescomplemented
51C2×#4339C2×C412yes—
52C2×#4339C2×C412yes—
53C22×D44C2×C411yescharacteristic
54C22×C4×D11—21no—
55C22×C4×D11—21no—
56C22×C4×D11—21no—
57C22×Dic22C2×C411yescharacteristic
58C22×C8×C11—22no—
59C2×C42×C11C2×C411yescharacteristic
60C2×C42×C11C2×C411yescharacteristic
61C2×C42×C11C2×C411yescharacteristic
62C2×C42×C11D411yescharacteristic
63C2×C42×C11D411yescharacteristic
64C2×C42×C11D411yescharacteristic
65C2×C42×C11D411yescharacteristic
66C2×C42×C11D411yescharacteristic
67C2×C42×C11D411yescharacteristic
68C2×C42×C11C2311yescharacteristic
69C2×C42×C11C2311yescharacteristic
70C2×C42×C11C2311yescharacteristic
71C2×C22⋊Dic11—21no—
72C4×C22⋊D11—22no—
73C4×C22⋊D11—22no—
74C4×C22⋊D11—22no—
75C4×C22⋊D11—22no—
76C4×C22⋊D11—22no—
77C4×C22⋊D11—22no—
78C4×C22⋊D11—22no—
79C4×C22⋊D11—22no—
80C2×(C2×D11)⋊C4—21no—
81C2×(C2×D11)⋊C4—21no—
82#66979—21no—
83#66979—21no—
84#66979C2×C412yes—
85#66979C2×C412yes—
86C2×C4⋊Dic11C2×C411yescharacteristic
87C2×C4⋊Dic11C2×C411yescharacteristic
88C2×Dic11⋊C4—21no—
89C2×Dic11⋊C4—21no—
90C2×C4×Dic11—21no—
91C2×C4×Dic11—21no—
92C2×C4×Dic11—21no—
93C22×C11⋊C8—22no—
94C4×D44—21no—
95C4×D44—21no—
96C4×D44—21no—
97C4×D44—21no—
98C4×D44C2×C412yes—
99C4×D44C2×C412yes—
100C4×D44C2×C412yes—
101C4×D44C2312yes—
102#66925—22no—
103#66925—22no—
104#66925—22no—
105#66925—22no—
106C42×D11—22no—
107C42×D11—22no—
108C42×D11—22no—
109C42×D11—22no—
110C4×Dic22—21no—
111C4×Dic22—21no—
112C4×Dic22—21no—
113C4×Dic22—21no—
114C4×Dic22C2×C412yes—
115C4×Dic22C2×C412yes—
116C4×Dic22C2×C412yes—
117C4×Dic22C2312yes—
118C11×C4⋊C8—22no—
119C11×C4⋊C8—22no—
120C11×C22⋊C8—22no—
121C11×C22⋊C8—22no—
122C4×C8×C11—22no—
123C4×C8×C11C2314yes—
124C22⋊(C11⋊C8)—22no—
125C22⋊(C11⋊C8)—22no—
126C4⋊(C11⋊C8)—22no—
127C4⋊(C11⋊C8)C2314yes—
128C4×C11⋊C8—22no—
129C4×C11⋊C8—22no—
130#17437—111nomaximal, Sylow
131C24×C11C22⋊C411yescharacteristic
132C23×D11—21no—
133C22×C4×C11—42no—
134C22×C4×C11—42no—
135C22×C4×C11C22⋊C411yescharacteristic
136C22×C4×C11C22⋊C411yescharacteristic
137C22×C4×C11C22⋊C411yescharacteristic
138C22×C4×C11C22⋊C411yescharacteristic
139C22×C4×C11C22⋊C411yescharacteristic
140C22×C4×C11C22⋊C411yescharacteristic
141C22×C4×C11C22⋊C411yescharacteristic
142C22×C4×C11C22⋊C411yescharacteristic
143C22×C4×C11C22⋊C411yescharacteristic
144C22×C4×C11C2×C814yes—
145C22×C4×C11M1614yes—
146C22×C4×C11C22×C411yescharacteristic
147C22×C4×C11C22×C411yescharacteristic
148C22×C4×C11C22×C411yescharacteristic
149C22×C4×C11C2×D411yescharacteristic
150C22×C4×C11C2×D411yescharacteristic
151C22×C4×C11C2×D411yescharacteristic
152C22×C4×C11C2×D411yescharacteristic
153C22×C4×C11C2×D411yescharacteristic
154C22×C4×C11C2×D411yescharacteristic
155C2×C22⋊D11—28no—
156C2×C22⋊D11—22no—
157C2×C22⋊D11—22no—
158C22×Dic11—21no—
159C22×Dic11—21no—
160C22×Dic11—21no—
161#4339—28no—
162#4339—28no—
163#4339—24no—
164#4339—24no—
165#4339C2×C818yescomplemented
166#4339C2×C818yescomplemented
167C2×D44—21no—
168C2×D44—22no—
169C2×D44C2×C814yescomplemented
170C2×D44C22×C412yes—
171C2×C4×D11—28no—
172C2×C4×D11—22no—
173C2×C4×D11—22no—
174C2×C4×D11—22no—
175C2×C4×D11—22no—
176C2×C4×D11—22no—
177C2×C4×D11—22no—
178C2×C4×D11—44no—
179C2×C4×D11—44no—
180C2×Dic22—21no—
181C2×Dic22—22no—
182C2×Dic22C2×C814yescomplemented
183C2×Dic22C22×C412yes—
184C2×C8×C11—24no—
185C2×C8×C11—44no—
186C42×C11C22⋊C411yescharacteristic
187C42×C11C22⋊C411yescharacteristic
188C42×C11C22⋊C411yescharacteristic
189C42×C11C22⋊C411yescharacteristic
190C42×C11C22⋊C411yescharacteristic
191C42×C11C22⋊C411yescharacteristic
192C42×C11C22×C411yescharacteristic
193C42×C11C22×C411yescharacteristic
194C42×C11C22×C411yescharacteristic
195C42×C11C2×D411yescharacteristic
196C42×C11C2×D411yescharacteristic
197C42×C11C2×D411yescharacteristic
198C42×C11C2×D411yescharacteristic
199C42×C11C2×D411yescharacteristic
200C42×C11C2×D411yescharacteristic
201C42×C11C2411yescharacteristic
202C22⋊Dic11—22no—
203C22⋊Dic11—22no—
204(C2×D11)⋊C4—22no—
205(C2×D11)⋊C4—22no—
206(C2×D11)⋊C4—22no—
207(C2×D11)⋊C4—22no—
208C4⋊Dic11—21no—
209C4⋊Dic11—21no—
210C4⋊Dic11C22×C412yes—
211C4⋊Dic11C22×C412yes—
212Dic11⋊C4—22no—
213Dic11⋊C4—22no—
214Dic11⋊C4—22no—
215Dic11⋊C4—22no—
216C4×Dic11—22no—
217C4×Dic11—22no—
218C4×Dic11—22no—
219C4×Dic11—22no—
220C4×Dic11—22no—
221C4×Dic11—22no—
222C2×C11⋊C8—24no—
223C2×C11⋊C8—44no—
224C2×C4×#41—111no—
225C2×#431—111no—
226C2×#431D1111yescharacteristic, complemented
227#1479—112no—
228#1478—112no—
229#1477—114no—
230#1476—114no—
231C23×C11—41no—
232C23×C11—41no—
233C23×C11C22⋊C814yes—
234C23×C11C2×C22⋊C411yescharacteristic
235C23×C11C2×C22⋊C411yescharacteristic
236C23×C11C2×C22⋊C411yescharacteristic
237C22×D11—22no—
238C22×D11—24no—
239C22×D11—42no—
240C22×D11—42no—
241C2×C4×C11—22no—
242C2×C4×C11—22no—
243C2×C4×C11—22no—
244C2×C4×C11—22no—
245C2×C4×C11—22no—
246C2×C4×C11—22no—
247C2×C4×C11—41no—
248C2×C4×C11—41no—
249C2×C4×C11—41no—
250C2×C4×C11—41no—
251C2×C4×C11—41no—
252C2×C4×C11—41no—
253C2×C4×C11C22⋊C814yes—
254C2×C4×C11C22⋊C814yes—
255C2×C4×C11C22⋊C814yes—
256C2×C4×C11C2×C22⋊C411yescharacteristic
257C2×C4×C11C2×C22⋊C411yescharacteristic
258C2×C4×C11C2×C22⋊C411yescharacteristic
259C2×C4×C11C2×C22⋊C411yescharacteristic
260C2×C4×C11C2×C22⋊C411yescharacteristic
261C2×C4×C11C2×C22⋊C411yescharacteristic
262C2×C4×C11C2×C22⋊C411yescharacteristic
263C2×C4×C11C2×C22⋊C411yescharacteristic
264C2×C4×C11C2×C22⋊C411yescharacteristic
265C2×C4×C11C22×C812yes—
266C2×C4×C11C22×C812yes—
267C2×C4×C11C22×C812yes—
268C2×C4×C11C2×M1612yes—
269C2×C4×C11C2×M1612yes—
270C2×C4×C11C2×M1612yes—
271C2×C4×C11C23×C411yescharacteristic
272C2×C4×C11C22×D411yescharacteristic
273C2×C4×C11C22×D411yescharacteristic
274C22⋊D11—28no—
275C22⋊D11—28no—
276C2×Dic11—22no—
277C2×Dic11—24no—
278C2×Dic11—22no—
279C2×Dic11—22no—
280C2×Dic11—42no—
281C2×Dic11—42no—
282D44—22no—
283D44—24no—
284D44C22×C814yes—
285C4×D11—28no—
286C4×D11—28no—
287C4×D11—44no—
288C4×D11—44no—
289C4×D11—44no—
290C4×D11—44no—
291Dic22—22no—
292Dic22—24no—
293Dic22C22×C814yes—
294C8×C11—44no—
295C11⋊C8—44no—
296C22×#41—111no—
297C4×#41—112no—
298C4×#41—112no—
299C4×#41—112no—
300C4×#41—112no—
301C4×#41—221no—
302C4×#41—221no—
303C4×#41—221no—
304C4×#41—221no—
305C2×C4×Q8—111no—
306C2×C4×Q8—111no—
307C2×C4×D4—111no—
308C2×C4×D4—111no—
309C2×C4×D4—221no—
310C2×C4×D4—221no—
311C2×#117—111no—
312C2×#117—221no—
313C22×C42—221no—
314C22×C42C2×D1111yescharacteristic
315#431—21no—
316#431—21no—
317#431—112no—
318#431—112no—
319#431—221no—
320#431—221no—
321#431C2×D1112yes—
322#431C2×D1112yescomplemented
323C2×C4⋊C8—21no—
324C2×C4⋊C8—112no—
325C2×C22⋊C8—21no—
326C2×C22⋊C8—221no—
327C2×C4×C8—221no—
328C2×C4×C8C2×D1112yescomplemented
329Q8⋊C8—118no—
330D4⋊C8—118no—
331C22×C11—21no—
332C22×C11—21no—
333C22×C11—21no—
334C22×C11—21no—
335C22×C11—21no—
336C22×C11—21no—
337C22×C11—44no—
338C22×C11C2×C22⋊C812yes—
339C22×C11C2×C22⋊C812yes—
340C22×C11C2×C22⋊C812yes—
341C22×C11C22×C22⋊C411yescharacteristic
342C2×D11—24no—
343C2×D11—48no—
344C2×D11—42no—
345C2×D11—42no—
346C4×C11—21no—
347C4×C11—21no—
348C4×C11—21no—
349C4×C11—21no—
350C4×C11—21no—
351C4×C11—21no—
352C4×C11C2×C22⋊C812yes—
353C4×C11C2×C22⋊C812yes—
354C4×C11C2×C22⋊C812yes—
355C4×C11#42112yes—
356C4×C11C23×C811yescharacteristic
357C4×C11C22×M1611yescharacteristic
358C4×C11#57512yes—
359Dic11—24no—
360Dic11—42no—
361Dic11—42no—
362C2×#41—118no—
363C2×#41—112no—
364C2×#41—112no—
365C2×#41—224no—
366C2×#41—221no—
367C2×#41—221no—
368C22×Q8—111no—
369C22×D4—111no—
370C22×D4—221no—
371C23×C4—221no—
372C23×C4—221no—
373C23×C4—221no—
374C23×C4C4×D1111yescharacteristic
375C23×C4D4411yescharacteristic
376C23×C4C22⋊D1111yescharacteristic
377C22×C8—22no—
378C22×C8—222no—
379C4×Q8—112no—
380C4×Q8—112no—
381C4×Q8—112no—
382C4×Q8—112no—
383C4×Q8—221no—
384C4×Q8—221no—
385C4×Q8—221no—
386C4×Q8—221no—
387C4×D4—112no—
388C4×D4—112no—
389C4×D4—112no—
390C4×D4—112no—
391C4×D4—222no—
392C4×D4—222no—
393C4×D4—222no—
394C4×D4—222no—
395C4×D4—222no—
396C4×D4—222no—
397C4×D4—222no—
398C4×D4—222no—
399C4×D4—221no—
400C4×D4—221no—
401C4×D4—221no—
402C4×D4—221no—
403#117—112no—
404#117—112no—
405#117—221no—
406#117—221no—
407#117—222no—
408#117—222no—
409#117—222no—
410#117—222no—
411C2×C4⋊C4—111no—
412C2×C4⋊C4—111no—
413C2×C4⋊C4—221no—
414C2×C4⋊C4—221no—
415C2×C22⋊C4—221no—
416C2×C22⋊C4—221no—
417C2×C22⋊C4—221no—
418C2×C42—221no—
419C2×C42—221no—
420C2×C42—221no—
421C2×C42—222no—
422C2×C42—222no—
423C2×C42—222no—
424C2×C42—222no—
425C2×C42C4×D1111yescharacteristic
426C2×C42C4×D1111yescharacteristic
427C2×C42C4×D1111yescharacteristic
428C2×C42D4411yescharacteristic
429C2×C42D4411yescharacteristic
430C2×C42D4411yescharacteristic
431C2×C42C22⋊D1111yescharacteristic
432C2×C42C22⋊D1111yescharacteristic
433C2×C42C22⋊D1111yescharacteristic
434C2×C42C22×D1111yescharacteristic
435C2×C42C22×D1111yescharacteristic
436C2×C42C22×D1111yescharacteristic
437C4⋊C8—22no—
438C4⋊C8—22no—
439C4⋊C8—114no—
440C4⋊C8—222no—
441C22⋊C8—22no—
442C22⋊C8—22no—
443C22⋊C8—222no—
444C22⋊C8—222no—
445C4×C8—22no—
446C4×C8—222no—
447C4×C8—222no—
448C4×C8C22×D1114yes—
449C2×C11—22no—
450C2×C11—22no—
451C2×C11—22no—
452C2×C11C22×C22⋊C811yescharacteristic
453C2×C11#289611yescharacteristic
454C2×C11C2×#42111yescharacteristic
455D11—44no—
456C24—221no—
457C24(C2×D11)⋊C411yescharacteristic
458#41—118no—
459#41—118no—
460#41—228no—
461#41—228no—
462#41—224no—
463#41—224no—
464C2×Q8—114no—
465C2×Q8—112no—
466C2×Q8—222no—
467C2×Q8—221no—
468C2×D4—114no—
469C2×D4—112no—
470C2×D4—228no—
471C2×D4—222no—
472C2×D4—222no—
473C2×D4—222no—
474C2×D4—221no—
475C22×C4—42no—
476C22×C4—42no—
477C22×C4—221no—
478C22×C4—228no—
479C22×C4—222no—
480C22×C4—222no—
481C22×C4—221no—
482C22×C4—221no—
483C22×C4—222no—
484C22×C4—222no—
485C22×C4—222no—
486C22×C4—222no—
487C22×C4—444no—
488C22×C4—444no—
489C22×C4C8×D1114yes—
490C22×C4#431314yes—
491C22×C4(C2×D11)⋊C411yescharacteristic
492C22×C4(C2×D11)⋊C411yescharacteristic
493C22×C4(C2×D11)⋊C411yescharacteristic
494C22×C4(C2×D11)⋊C411yescharacteristic
495C22×C4(C2×D11)⋊C411yescharacteristic
496C22×C4(C2×D11)⋊C411yescharacteristic
497C22×C4(C2×D11)⋊C411yescharacteristic
498C22×C4(C2×D11)⋊C411yescharacteristic
499C22×C4(C2×D11)⋊C411yescharacteristic
500C22×C4C2×C4×D1111yescharacteristic
501C22×C4C2×C4×D1111yescharacteristic
502C22×C4C2×C4×D1111yescharacteristic
503C22×C4C2×D4411yescharacteristic
504C22×C4C2×D4411yescharacteristic
505C22×C4C2×D4411yescharacteristic
506C22×C4C2×C22⋊D1111yescharacteristic
507C22×C4C2×C22⋊D1111yescharacteristic
508C22×C4C2×C22⋊D1111yescharacteristic
509C2×C8—24no—
510C2×C8—44no—
511C2×C8—224no—
512C2×C8—444no—
513C4⋊C4—112no—
514C4⋊C4—112no—
515C4⋊C4—221no—
516C4⋊C4—221no—
517C4⋊C4—222no—
518C4⋊C4—222no—
519C4⋊C4—222no—
520C4⋊C4—222no—
521C22⋊C4—222no—
522C22⋊C4—222no—
523C22⋊C4—222no—
524C22⋊C4—222no—
525C22⋊C4—222no—
526C22⋊C4—222no—
527C42—222no—
528C42—222no—
529C42—222no—
530C42—222no—
531C42—222no—
532C42—222no—
533C42(C2×D11)⋊C411yescharacteristic
534C42(C2×D11)⋊C411yescharacteristic
535C42(C2×D11)⋊C411yescharacteristic
536C42(C2×D11)⋊C411yescharacteristic
537C42(C2×D11)⋊C411yescharacteristic
538C42(C2×D11)⋊C411yescharacteristic
539C42C2×C4×D1111yescharacteristic
540C42C2×C4×D1111yescharacteristic
541C42C2×C4×D1111yescharacteristic
542C42C2×D4411yescharacteristic
543C42C2×D4411yescharacteristic
544C42C2×D4411yescharacteristic
545C42C2×C22⋊D1111yescharacteristic
546C42C2×C22⋊D1111yescharacteristic
547C42C2×C22⋊D1111yescharacteristic
548C42C23×D1111yescharacteristic
549C11#1743711yescharacteristic, complemented, Sylow
550C23—41no—
551C23—41no—
552C23—224no—
553C23—222no—
554C23—442no—
555C23—442no—
556C23(C2×D11)⋊C814yes—
557C23C2×(C2×D11)⋊C411yescharacteristic
558C23C2×(C2×D11)⋊C411yescharacteristic
559C23C2×(C2×D11)⋊C411yescharacteristic
560Q8—114no—
561Q8—224no—
562Q8—222no—
563D4—114no—
564D4—228no—
565D4—228no—
566D4—224no—
567D4—222no—
568C2×C4—22no—
569C2×C4—22no—
570C2×C4—22no—
571C2×C4—22no—
572C2×C4—22no—
573C2×C4—22no—
574C2×C4—41no—
575C2×C4—41no—
576C2×C4—41no—
577C2×C4—41no—
578C2×C4—41no—
579C2×C4—41no—
580C2×C4—224no—
581C2×C4—222no—
582C2×C4—228no—
583C2×C4—228no—
584C2×C4—222no—
585C2×C4—222no—
586C2×C4—444no—
587C2×C4—444no—
588C2×C4—442no—
589C2×C4—442no—
590C2×C4—444no—
591C2×C4—444no—
592C2×C4(C2×D11)⋊C814yes—
593C2×C4(C2×D11)⋊C814yes—
594C2×C4(C2×D11)⋊C814yes—
595C2×C4C2×C8×D1112yes—
596C2×C4C2×C8×D1112yes—
597C2×C4C2×C8×D1112yes—
598C2×C4C2×#431312yes—
599C2×C4C2×#431312yes—
600C2×C4C2×#431312yes—
601C2×C4C2×(C2×D11)⋊C411yescharacteristic
602C2×C4C2×(C2×D11)⋊C411yescharacteristic
603C2×C4C2×(C2×D11)⋊C411yescharacteristic
604C2×C4C2×(C2×D11)⋊C411yescharacteristic
605C2×C4C2×(C2×D11)⋊C411yescharacteristic
606C2×C4C2×(C2×D11)⋊C411yescharacteristic
607C2×C4C2×(C2×D11)⋊C411yescharacteristic
608C2×C4C2×(C2×D11)⋊C411yescharacteristic
609C2×C4C2×(C2×D11)⋊C411yescharacteristic
610C2×C4C22×C4×D1111yescharacteristic
611C2×C4C22×D4411yescharacteristic
612C2×C4C22×C22⋊D1111yescharacteristic
613C8—44no—
614C8—444no—
615C22—21no—
616C22—21no—
617C22—21no—
618C22—21no—
619C22—21no—
620C22—21no—
621C22—44no—
622C22—224no—
623C22—448no—
624C22—442no—
625C22—442no—
626C22C2×(C2×D11)⋊C812yes—
627C22C2×(C2×D11)⋊C812yes—
628C22C2×(C2×D11)⋊C812yes—
629C22C22×(C2×D11)⋊C411yescharacteristic
630C4—21no—
631C4—21no—
632C4—21no—
633C4—21no—
634C4—21no—
635C4—21no—
636C4—224no—
637C4—442no—
638C4—442no—
639C4#1062261812yes—
640C4C2×(C2×D11)⋊C812yes—
641C4C2×(C2×D11)⋊C812yes—
642C4C2×(C2×D11)⋊C812yes—
643C4C22×C8×D1111yescharacteristic
644C4C22×#431311yescharacteristic
645C4#1062327912yes—
646C2—22no—
647C2—22no—
648C2—22no—
649C2—444no—
650C2C22×(C2×D11)⋊C811yescharacteristic
651C2#1307713611yescharacteristic
652C2C2×#1062261811yescharacteristic
subgroupG/H
centerC42C2×D44
commutatorC4×C11C23×C8
FrattiniC42C23×D11
FittingC2×C11×#431C2
socleC22×C11C22×C22⋊C4
prime radicalC22×#4339C4
cosocleC42×C11C24
hypercenterC2×#431D11
hypocenterC11#17437
LCSG ▷ C4×C11 ▷ C2×C11 ▷ C11
UCSC1 ◁ C42 ◁ C22×C42 ◁ C2×#431

Complements

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

NH ≅ G/Ntype
2. C2×#10622538C2semidirect
3. #13067012C2semidirect
4. #13067008C2semidirect
5. #13067004C2semidirect
6. #13066999C2semidirect
7. C2×C11×#431C2semidirect
30. C11×#431C22semidirect
33. C2×C4×C8×C11C22semidirect
38. #10622538C22semidirect
39. C2×C4⋊(C11⋊C8)C22semidirect
41. #10622097C22semidirect
42. #10622094C22semidirect
50. C2×#4339C8semidirect
165. #4339C2×C8semidirect
166. #4339C2×C8semidirect
169. C2×D44C2×C8semidirect
182. C2×Dic22C2×C8semidirect
226. C2×#431D11semidirect
322. #431C2×D11semidirect
328. C2×C4×C8C2×D11semidirect
549. C11#17437semidirect

Maximal subgroups

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

subgroupindex
C2×C4×#43392
C2×#106225382
#130670122
#130670082
#130670042
#130669992
C2×C11×#4312
#1743711