Finite Group Databasebeta

← #14914164

Subgroups — #14914164

Order 2816.

2854 conjugacy classes of subgroups.

The subgroup lattice has 700 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×#66941C211yesmaximal, characteristic
2C2×#10623047C212yesmaximal
3#13071675C212yesmaximal, complemented
4#13071671C214yesmaximal, complemented
5#13071669C212yesmaximal, complemented
6#13071487C211yesmaximal, characteristic
7#13071486C212yesmaximal
8#13071485C211yesmaximal, characteristic
9#13071483C211yesmaximal, characteristic
10#13071480C212yesmaximal
11#13071331C214yesmaximal, complemented
12#13071201C212yesmaximal
13#13071187C212yesmaximal, complemented
14C4×#66941C212yesmaximal, complemented
15#13071018C211yesmaximal, characteristic
16C4×#66930C211yesmaximal, characteristic
17C11×#2344C211yesmaximal, characteristic
18C23×Dic22C2212yes—
19C2×C11×#117C2212yes—
20C22×C11×C4⋊C4C2211yescharacteristic
21C2×#66979C2212yes—
22C22×C4⋊Dic11C2211yescharacteristic
23C22×Dic11⋊C4C2212yes—
24C22×C4×Dic11C2211yescharacteristic
25#10623047—216no—
26C2×#66941C4116yescomplemented
27C2×#66941C2211yescharacteristic
28C2×#66941C2212yes—
29C2×#66941C2211yescharacteristic
30C2×#66941C2211yescharacteristic
31C2×#66941C2211yescharacteristic
32C2×#66941C2212yes—
33C2×#66940C2214yes—
34C2×#66940C2214yes—
35C2×#66930C2211yescharacteristic
36C2×#66930C2212yes—
37C2×#66930C2212yes—
38C2×#66930C2212yes—
39C2×#66930C2211yescharacteristic
40C2×C4×Dic22C2214yes—
41C2×C4×Dic22C2214yes—
42C11×#389C2212yes—
43C11×#387C2214yes—
44C11×#381C2212yes—
45C11×#380C2211yescharacteristic
46C4×C11×C4⋊C4C2212yes—
47C4×C11×C22⋊C4C2211yescharacteristic
48#10622825C2211yescharacteristic
49#10622824C2212yes—
50C4×C22⋊Dic11C2211yescharacteristic
51#10622598C2212yes—
52#10622594C2214yes—
53#10622591C2214yes—
54#10622589C2212yes—
55C4⋊C4×Dic11C2212yes—
56C4⋊C4×Dic11C2212yes—
57C4⋊C4×Dic11C2212yes—
58#10622586C2212yes—
59#10622585C2214yes—
60#10622556C2212yes—
61#10622556C2212yes—
62#10622555C2212yes—
63C22⋊C4×Dic11C2211yescharacteristic
64C22⋊C4×Dic11C2211yescharacteristic
65C4×C4⋊Dic11C2212yes—
66#10622546C2214yes—
67C4×Dic11⋊C4C2212yes—
68C4×Dic11⋊C4C2214yes—
69C42×Dic11C2212yes—
70#10622541C2212yes—
71#10622268C2214yes—
72#10622267C2214yes—
73#10622266C2214yes—
74#10622265C2214yes—
75#10622263C2212yes—
76#10622262C2212yes—
77#10622262C2212yes—
78#10622262C2214yes—
79#10622261C2212yes—
80#10622260C2214yes—
81#10622259C2214yes—
82#10622259C2214yes—
83#10622259C2214yes—
84#10622259C2214yes—
85C23×C4×C11C2311yescharacteristic
86C23×C4×C11C2312yes—
87C23×Dic11C2312yes—
88C23×Dic11C2311yescharacteristic
89C23×Dic11C2311yescharacteristic
90C22×Dic22—28no—
91C22×Dic22—28no—
92C22×Dic22C2×C4116yes—
93C22×Dic22C2312yes—
94C22×Dic22C2312yes—
95C22×Dic22C2312yes—
96C22×Dic22C2312yes—
97C11×#117—28no—
98C2×C11×C4⋊C4C2×C418yes—
99C2×C11×C4⋊C4C2314yes—
100C2×C11×C4⋊C4C2312yes—
101C2×C11×C4⋊C4C2311yescharacteristic
102C2×C11×C4⋊C4C2312yes—
103C2×C11×C4⋊C4C2311yescharacteristic
104C2×C11×C22⋊C4C2312yes—
105C2×C11×C22⋊C4C2311yescharacteristic
106C2×C11×C22⋊C4C2311yescharacteristic
107C2×C42×C11C2314yes—
108C2×C42×C11C2312yes—
109C2×C22⋊Dic11C2312yes—
110C2×C22⋊Dic11C2311yescharacteristic
111C2×C22⋊Dic11C2311yescharacteristic
112#66979—28no—
113C2×C4⋊Dic11C2×C418yes—
114C2×C4⋊Dic11C2314yes—
115C2×C4⋊Dic11C2312yes—
116C2×C4⋊Dic11C2312yes—
117C2×C4⋊Dic11C2311yescharacteristic
118C2×C4⋊Dic11C2311yescharacteristic
119C2×Dic11⋊C4C2×C4116yes—
120C2×Dic11⋊C4C2314yes—
121C2×Dic11⋊C4C2314yes—
122C2×Dic11⋊C4C2314yes—
123C2×Dic11⋊C4C2312yes—
124C2×Dic11⋊C4C2314yes—
125C2×Dic11⋊C4C2312yes—
126C2×Dic11⋊C4C2312yes—
127C2×Dic11⋊C4C2312yes—
128C2×Dic11⋊C4C2312yes—
129C2×Dic11⋊C4C2312yes—
130C2×C4×Dic11C2×C418yes—
131C2×C4×Dic11C2314yes—
132C2×C4×Dic11C2314yes—
133C2×C4×Dic11C2314yes—
134C2×C4×Dic11C2312yes—
135C2×C4×Dic11C2314yes—
136C2×C4×Dic11C2312yes—
137C2×C4×Dic11C2312yes—
138C2×C4×Dic11C2312yes—
139C2×C4×Dic11C2311yescharacteristic
140C2×C4×Dic11C2311yescharacteristic
141C2×C4×Dic11C2311yescharacteristic
142C2×C4×Dic11C2311yescharacteristic
143C2×C4×Dic11C2312yes—
144#66941C2×C418yes—
145#66941C2×C4116yes—
146#66941C2×C418yes—
147#66941C2×C418yes—
148#66941C2×C418yes—
149#66941C2×C4116yes—
150#66940—216no—
151#66940—216no—
152#66930—28no—
153#66930—24no—
154#66930—28no—
155#66930—28no—
156#66930D418yes—
157C4×Dic22—216no—
158C4×Dic22—216no—
159C11×#95C2314yes—
160C11×#95C2314yes—
161C11×#95C2312yes—
162C11×#95C2312yes—
163C11⋊#95C2314yes—
164C11⋊#95C2314yes—
165C11⋊#95C2314yes—
166C11⋊#95C2314yes—
167C11⋊#95C2314yes—
168C11⋊#95C2314yes—
169C11⋊#95C2312yes—
170C11⋊#95C2312yes—
171C11⋊#95C2312yes—
172C11⋊#95C2312yes—
173C11⋊#95C2314yes—
174#34209—111nomaximal, Sylow
175C24×C11C2411yescharacteristic
176C22×C4×C11—24no—
177C22×C4×C11—24no—
178C22×C4×C11—24no—
179C22×C4×C11C22×C414yes—
180C22×C4×C11C22×C418yes—
181C22×C4×C11C2412yes—
182C22×C4×C11C2414yes—
183C22×C4×C11C2411yescharacteristic
184C22×C4×C11C2412yes—
185C22×C4×C11C2412yes—
186C22×C4×C11C2412yes—
187C22×C4×C11C2411yescharacteristic
188C22×Dic11—24no—
189C22×Dic11—24no—
190C22×Dic11—24no—
191C22×Dic11C22×C414yes—
192C22×Dic11C22×C418yes—
193C22×Dic11C22×C414yes—
194C22×Dic11C2×D414yes—
195C22×Dic11#4114yes—
196C22×Dic11C2412yes—
197C22×Dic11C2414yes—
198C22×Dic11C2411yescharacteristic
199C22×Dic11C2412yes—
200C22×Dic11C2412yes—
201C22×Dic11C2412yes—
202C22×Dic11C2411yescharacteristic
203C22×Dic11C2411yescharacteristic
204C22×Dic11C2411yescharacteristic
205C2×Dic22—264no—
206C2×Dic22—24no—
207C2×Dic22—24no—
208C2×Dic22—24no—
209C2×Dic22—24no—
210C2×Dic22—24no—
211C2×Dic22—24no—
212C2×Dic22—24no—
213C2×Dic22—24no—
214C2×Dic22C22×C418yes—
215C2×Dic22C22×C418yes—
216C2×Dic22C22×C418yes—
217C2×Dic22C22×C418yes—
218C11×C4⋊C4—28no—
219C11×C4⋊C4—24no—
220C11×C4⋊C4C22×C418yes—
221C11×C4⋊C4C22×C414yes—
222C11×C4⋊C4C22×C414yes—
223C11×C22⋊C4—24no—
224C11×C22⋊C4—22no—
225C11×C22⋊C4C2×D414yes—
226C42×C11—28no—
227C42×C11—24no—
228C22⋊Dic11—24no—
229C22⋊Dic11—22no—
230C22⋊Dic11C2×D414yes—
231C4⋊Dic11—28no—
232C4⋊Dic11—24no—
233C4⋊Dic11C22×C418yes—
234C4⋊Dic11C22×C414yes—
235C4⋊Dic11C22×C414yes—
236Dic11⋊C4—28no—
237Dic11⋊C4—28no—
238Dic11⋊C4—24no—
239Dic11⋊C4—28no—
240Dic11⋊C4—28no—
241Dic11⋊C4C22×C418yes—
242Dic11⋊C4C22×C418yes—
243Dic11⋊C4C22×C418yes—
244Dic11⋊C4C22×C418yes—
245Dic11⋊C4C2×D418yes—
246C4×Dic11—28no—
247C4×Dic11—28no—
248C4×Dic11—28no—
249C4×Dic11—24no—
250C4×Dic11—24no—
251C4×Dic11—24no—
252C4×Dic11—28no—
253C4×Dic11—24no—
254C4×Dic11C22×C414yes—
255C4×Dic11C22×C414yes—
256C4×Dic11C22×C414yes—
257C4×Dic11C22×C414yes—
258C4×Dic11C2×D418yes—
259C22×C4⋊Q8—111no—
260C2×#519—112no—
261#2365—112no—
262#2365—114no—
263#2365—112no—
264#2344—112no—
265#2344—111no—
266#2344—111no—
267#2344—112no—
268#2344—111no—
269#2344D1111yescharacteristic
270#2327—114no—
271#2310—112no—
272C4×C4⋊Q8—112no—
273C4×C4⋊Q8—112no—
274#2285—111no—
275C4×#117—111no—
276C23×C11—22no—
277C23×C11—22no—
278C23×C11C23×C412yes—
279C23×C11C22×D412yes—
280C23×C11C2×#4112yes—
281C23×C11C2511yescharacteristic
282C2×C4×C11—216no—
283C2×C4×C11—22no—
284C2×C4×C11—22no—
285C2×C4×C11—22no—
286C2×C4×C11—22no—
287C2×C4×C11—22no—
288C2×C4×C11—22no—
289C2×C4×C11—22no—
290C2×C4×C11—28no—
291C2×C4×C11—24no—
292C2×C4×C11—22no—
293C2×C4×C11—22no—
294C2×C4×C11—24no—
295C2×C4×C11—22no—
296C2×C4×C11—24no—
297C2×C4×C11C23×C412yes—
298C2×C4×C11C23×C414yes—
299C2×C4×C11C23×C414yes—
300C2×C4×C11C23×C412yes—
301C2×C4×C11C22×D414yes—
302C2×C4×C112−1+414yes—
303C2×Dic11—216no—
304C2×Dic11—22no—
305C2×Dic11—22no—
306C2×Dic11—22no—
307C2×Dic11—22no—
308C2×Dic11—22no—
309C2×Dic11—22no—
310C2×Dic11—22no—
311C2×Dic11—28no—
312C2×Dic11—24no—
313C2×Dic11—22no—
314C2×Dic11—22no—
315C2×Dic11—22no—
316C2×Dic11—24no—
317C2×Dic11—24no—
318C2×Dic11C4×D4116yes—
319C2×Dic11C23×C412yes—
320C2×Dic11C23×C414yes—
321C2×Dic11C23×C414yes—
322C2×Dic11C23×C412yes—
323C2×Dic11C23×C412yes—
324C2×Dic11C23×C412yes—
325C2×Dic11C22×D414yes—
326C2×Dic11C22×D412yes—
327C2×Dic11C22×D412yes—
328C2×Dic11C2×#4112yes—
329C2×Dic11C2×#4112yes—
330C2×Dic112−1+414yes—
331Dic22—216no—
332Dic22—216no—
333Dic22—216no—
334Dic22—216no—
335C23×Q8—112no—
336C2×C4⋊Q8—111no—
337C2×C4⋊Q8—111no—
338C2×C4⋊Q8—112no—
339C2×C4⋊Q8—112no—
340C2×C4⋊Q8—111no—
341C2×C4⋊Q8—111no—
342C2×C4⋊Q8—1116no—
343#519—2216no—
344C2×C4×Q8—114no—
345C2×C4×Q8—114no—
346C2×C4×Q8—114no—
347C2×C4×Q8—114no—
348C2×#117—112no—
349C2×#117—111no—
350C2×#117—111no—
351C2×#117—112no—
352C2×#117—112no—
353C2×#117—112no—
354C2×#117C2×D1112yes—
355C22×C4⋊C4—112no—
356C22×C4⋊C4—111no—
357C22×C4⋊C4C2×D1111yescharacteristic
358C22×C42—111no—
359#391—114no—
360#391—114no—
361#391—114no—
362#391—114no—
363#389—114no—
364#389—112no—
365#389—112no—
366#389—112no—
367#389—114no—
368#389C2×D1112yes—
369#387—114no—
370#387—114no—
371#387—114no—
372#387—114no—
373#387—114no—
374#387—114no—
375#387—114no—
376#387C2×D1114yes—
377#384—112no—
378#382—112no—
379#381—112no—
380#381—112no—
381#381—112no—
382#381C2×D1112yes—
383#380—111no—
384#380—112no—
385#380C2×D1111yescharacteristic
386C4×C4⋊C4—112no—
387C4×C4⋊C4—112no—
388C4×C4⋊C4—112no—
389C4×C4⋊C4—114no—
390C4×C4⋊C4—112no—
391C4×C4⋊C4—112no—
392C4×C4⋊C4—114no—
393C4×C4⋊C4—112no—
394C4×C4⋊C4—112no—
395C4×C4⋊C4C2×D1112yes—
396C4×C22⋊C4—111no—
397C4×C22⋊C4—111no—
398C4×C22⋊C4—111no—
399C4×C22⋊C4C2×D1111yescharacteristic
400#376—112no—
401C43—112no—
402C22×C11—22no—
403C22×C11—22no—
404C22×C11—24no—
405C22×C11—24no—
406C22×C11C2×C4×D414yes—
407C22×C11C24×C411yescharacteristic
408C22×C11C23×D411yescharacteristic
409C22×C11C22×#4111yescharacteristic
410C22×C11C2×2−1+412yes—
411C22×C11C2×2−1+412yes—
412C4×C11—24no—
413C4×C11—24no—
414C4×C11—22no—
415C4×C11—24no—
416C4×C11—44no—
417C4×C11—42no—
418C4×C11#51914yescomplemented
419Dic11—24no—
420Dic11—24no—
421Dic11—22no—
422Dic11—24no—
423Dic11—44no—
424Dic11—42no—
425Dic11C2×C4×D414yes—
426Dic11C2×C4×D414yes—
427Dic11#51914yescomplemented
428C22×Q8—1116no—
429C22×Q8—112no—
430C22×Q8—112no—
431C22×Q8—112no—
432C22×Q8—112no—
433C22×Q8—228no—
434C22×Q8—228no—
435C23×C4—111no—
436C23×C4—112no—
437C23×C4—111no—
438C23×C4C22×D1112yes—
439C23×C4C22×D1111yescharacteristic
440C4⋊Q8—118no—
441C4⋊Q8—118no—
442C4⋊Q8—1116no—
443C4⋊Q8—1116no—
444C4⋊Q8—118no—
445C4⋊Q8—118no—
446C4×Q8—2216no—
447C4×Q8—2216no—
448C4×Q8—2216no—
449C4×Q8—2216no—
450#117—28no—
451#117—118no—
452#117—228no—
453#117—228no—
454#117—224no—
455#117—228no—
456#117—228no—
457C2×C4⋊C4—1116no—
458C2×C4⋊C4—118no—
459C2×C4⋊C4—112no—
460C2×C4⋊C4—112no—
461C2×C4⋊C4—111no—
462C2×C4⋊C4—111no—
463C2×C4⋊C4—112no—
464C2×C4⋊C4—112no—
465C2×C4⋊C4—112no—
466C2×C4⋊C4—112no—
467C2×C4⋊C4—114no—
468C2×C4⋊C4—114no—
469C2×C4⋊C4—114no—
470C2×C4⋊C4—114no—
471C2×C4⋊C4—112no—
472C2×C4⋊C4—114no—
473C2×C4⋊C4—112no—
474C2×C4⋊C4C4×D1118yes—
475C2×C4⋊C4C22×D1114yes—
476C2×C4⋊C4C22×D1112yes—
477C2×C4⋊C4C22×D1111yescharacteristic
478C2×C4⋊C4C22×D1111yescharacteristic
479C2×C4⋊C4C22×D1112yes—
480C2×C22⋊C4—111no—
481C2×C22⋊C4—112no—
482C2×C22⋊C4—111no—
483C2×C22⋊C4C22×D1112yes—
484C2×C22⋊C4C22×D1111yescharacteristic
485C2×C22⋊C4C22×D1111yescharacteristic
486C2×C42—118no—
487C2×C42—112no—
488C2×C42—111no—
489C2×C42—111no—
490C2×C42—111no—
491C2×C42—111no—
492C2×C42—114no—
493C2×C42—114no—
494C2×C42—114no—
495C2×C42—114no—
496C2×C42—112no—
497C2×C42—112no—
498C2×C42—112no—
499C2×C42—112no—
500C2×C42C22×D1114yes—
501C2×C42C22×D1112yes—
502#95—112no—
503#95—112no—
504#95—112no—
505#95—114no—
506#95—112no—
507#95—114no—
508#95—114no—
509#95—114no—
510#95—114no—
511#95—114no—
512#95—114no—
513#95C22×D1112yes—
514#95C22×D1112yes—
515#95C22×D1114yes—
516#95C22×D1114yes—
517C2×C11—24no—
518C2×C11C22×C4×D411yescharacteristic
519C2×C11C2×#51911yescharacteristic
520C2×C11C2×#51911yescharacteristic
521C2×C11#349912yes—
522C2×C11#350912yes—
523C24C23×D1111yescharacteristic
524C2×Q8—118no—
525C2×Q8—118no—
526C2×Q8—118no—
527C2×Q8—118no—
528C2×Q8—224no—
529C2×Q8—224no—
530C2×Q8—224no—
531C2×Q8—224no—
532C2×Q8—2264no—
533C2×Q8—224no—
534C2×Q8—224no—
535C2×Q8—224no—
536C2×Q8—224no—
537C22×C4—24no—
538C22×C4—24no—
539C22×C4—24no—
540C22×C4—114no—
541C22×C4—114no—
542C22×C4—114no—
543C22×C4—111no—
544C22×C4—111no—
545C22×C4—111no—
546C22×C4—114no—
547C22×C4—118no—
548C22×C4—111no—
549C22×C4—112no—
550C22×C4—112no—
551C22×C4—112no—
552C22×C4—112no—
553C22×C4—114no—
554C22×C4—224no—
555C22×C4—224no—
556C22×C4—224no—
557C22×C4C2×C4×D1114yes—
558C22×C4C2×C4×D1118yes—
559C22×C4C23×D1112yes—
560C22×C4C23×D1114yes—
561C22×C4C23×D1111yescharacteristic
562C22×C4C23×D1112yes—
563C22×C4C23×D1112yes—
564C22×C4C23×D1112yes—
565C22×C4C23×D1111yescharacteristic
566C4⋊C4—28no—
567C4⋊C4—24no—
568C4⋊C4—118no—
569C4⋊C4—118no—
570C4⋊C4—118no—
571C4⋊C4—118no—
572C4⋊C4—118no—
573C4⋊C4—114no—
574C4⋊C4—114no—
575C4⋊C4—118no—
576C4⋊C4—228no—
577C4⋊C4—228no—
578C4⋊C4—228no—
579C4⋊C4—224no—
580C4⋊C4—228no—
581C4⋊C4—228no—
582C4⋊C4—224no—
583C4⋊C4C2×C4×D1118yes—
584C4⋊C4C2×C4×D1114yes—
585C4⋊C4C2×C4×D1114yes—
586C22⋊C4—24no—
587C22⋊C4—22no—
588C22⋊C4—114no—
589C22⋊C4—224no—
590C22⋊C4—222no—
591C22⋊C4D4×D1114yes—
592C42—28no—
593C42—24no—
594C42—114no—
595C42—114no—
596C42—114no—
597C42—114no—
598C42—118no—
599C42—228no—
600C42—228no—
601C42—228no—
602C42—224no—
603C42—224no—
604C42—224no—
605C42—228no—
606C42—224no—
607C11#3420911yescharacteristic, complemented, Sylow
608C23—22no—
609C23—22no—
610C23C22×C4×D1112yes—
611C23C2×D4×D1112yes—
612C23#41×D1112yes—
613C23C24×D1111yescharacteristic
614Q8—2216no—
615Q8—2216no—
616Q8—2216no—
617Q8—2216no—
618C2×C4—216no—
619C2×C4—22no—
620C2×C4—22no—
621C2×C4—22no—
622C2×C4—22no—
623C2×C4—22no—
624C2×C4—22no—
625C2×C4—22no—
626C2×C4—28no—
627C2×C4—24no—
628C2×C4—22no—
629C2×C4—22no—
630C2×C4—24no—
631C2×C4—22no—
632C2×C4—24no—
633C2×C4—1116no—
634C2×C4—112no—
635C2×C4—112no—
636C2×C4—112no—
637C2×C4—112no—
638C2×C4—112no—
639C2×C4—112no—
640C2×C4—112no—
641C2×C4—114no—
642C2×C4—112no—
643C2×C4—114no—
644C2×C4—114no—
645C2×C4—114no—
646C2×C4—228no—
647C2×C4—2216no—
648C2×C4—222no—
649C2×C4—222no—
650C2×C4—222no—
651C2×C4—222no—
652C2×C4—222no—
653C2×C4—222no—
654C2×C4—222no—
655C2×C4—224no—
656C2×C4—222no—
657C2×C4—222no—
658C2×C4—224no—
659C2×C4—222no—
660C2×C4—224no—
661C2×C4C22×C4×D1112yes—
662C2×C4C22×C4×D1114yes—
663C2×C4C22×C4×D1114yes—
664C2×C4C22×C4×D1112yes—
665C2×C4C2×D4×D1114yes—
666C2×C4#6704314yes—
667C22—24no—
668C22—24no—
669C22—22no—
670C22—22no—
671C22C4×D4×D1114yes—
672C22C23×C4×D1111yescharacteristic
673C22C22×D4×D1111yescharacteristic
674C22C2×#41×D1111yescharacteristic
675C22C2×#6704312yes—
676C22D11×2−1+412yes—
677C4—24no—
678C4—24no—
679C4—24no—
680C4—22no—
681C4—44no—
682C4—42no—
683C4—114no—
684C4—114no—
685C4—114no—
686C4—224no—
687C4—224no—
688C4—224no—
689C4—222no—
690C4—444no—
691C4—442no—
692C4#1062304714yescomplemented
693C2—24no—
694C2C2×C4×D4×D1111yescharacteristic
695C2D11×#51911yescharacteristic
696C2C2×#1062304711yescharacteristic
697C2#1308239512yes—
698C2#1308249412yes—
subgroupG/H
center, FrattiniC23C24×D11
commutatorC22×C11C24×C4
FittingC11×#2344C2
socle, cosocleC23×C11C25
prime radicalC24×C11C24
hypercenter#2344D11
hypocenterC11#34209
LCSG ▷ C22×C11 ▷ C11
UCSC1 ◁ C23 ◁ #2344

Complements

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

NH ≅ G/Ntype
3. #13071675C2semidirect
4. #13071671C2semidirect
5. #13071669C2semidirect
11. #13071331C2semidirect
13. #13071187C2semidirect
14. C4×#66941C2semidirect
26. C2×#66941C4semidirect
418. C4×C11#519semidirect
427. Dic11#519semidirect
607. C11#34209semidirect
692. C4#10623047semidirect

Maximal subgroups

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

subgroupindex
C22×#669412
C2×#106230472
#130716752
#130716712
#130716692
#130714872
#130714862
#130714852
#130714832
#130714802
#130713312
#130712012
#130711872
C4×#669412
#130710182
C4×#669302
C11×#23442
#3420911