Finite Group Databasebeta

← #14770661

Subgroups — #14770661

Order 2816.

1118 conjugacy classes of subgroups.

The subgroup lattice has 716 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#10623116C211yesmaximal, characteristic
2#13071573C211yesmaximal, characteristic, complemented
3#13069546C211yesmaximal, characteristic, complemented
4#13069546C211yesmaximal, characteristic, complemented
5#13069542C211yesmaximal, characteristic
6#13069440C211yesmaximal, characteristic
7#13069432C211yesmaximal, characteristic, complemented
8#13069427C211yesmaximal, characteristic, complemented
9#13068632C211yesmaximal, characteristic, complemented
10#13068627C211yesmaximal, characteristic, complemented
11#13068617C211yesmaximal, characteristic, complemented
12#13068447C211yesmaximal, characteristic, complemented
13#13068442C211yesmaximal, characteristic, complemented
14C4×#66885C211yesmaximal, characteristic, complemented
15C2×C11×#446C211yesmaximal, characteristic, complemented
16C2×C4×Q8×C11C2211yescharacteristic
17C2×#67000—21no—
18#10623116—24no—
19#10623116C418yescomplemented
20C2×#66947—21no—
21C2×#66947—21no—
22C2×#66946—21no—
23C2×#66928C2211yescharacteristic
24C2×#66928C2211yescharacteristic
25C2×#66927C2211yescharacteristic
26C2×C4×D44C2211yescharacteristic
27C2×C4×D44C2211yescharacteristic
28C2×C4×Dic22C2211yescharacteristic
29C11×#446—24no—
30C2×C11×C4⋊C8C2211yescharacteristic
31C2×C11×C4⋊C8C2211yescharacteristic
32C2×C11×C4⋊C8C2211yescharacteristic
33C2×C11×#97C2211yescharacteristic
34C2×C11×#97C2211yescharacteristic
35C2×C4×C8×C11C2211yescharacteristic
36#10622843—21no—
37C2×#66885C2211yescharacteristic
38C2×#66885C2211yescharacteristic
39C2×#66885C2211yescharacteristic
40C2×#66885C2211yescharacteristic
41C2×#66885C2211yescharacteristic
42C2×#66885C2211yescharacteristic
43C2×#66885C2211yescharacteristic
44C2×#66885C2211yescharacteristic
45C2×#66880C2211yescharacteristic
46C2×#66880C2211yescharacteristic
47C2×#66880C2211yescharacteristic
48C2×#66880C2211yescharacteristic
49#10622594—21no—
50#10622594—21no—
51C4⋊C4×Dic11—21no—
52#10622549C2211yescharacteristic
53#10622549C2211yescharacteristic
54#10622548C2211yescharacteristic
55C4×C4⋊Dic11C2211yescharacteristic
56C4×C4⋊Dic11C2211yescharacteristic
57C4×C4⋊Dic11C2211yescharacteristic
58#10622189C2211yescharacteristic
59#10622189C2211yescharacteristic
60#10622189C2211yescharacteristic
61#10622189C2211yescharacteristic
62C22×Q8×C11D411yescharacteristic
63C22×D44—21no—
64C22×D44—21no—
65C22×D44C2311yescharacteristic
66C22×D44C2311yescharacteristic
67C22×C4×D11—21no—
68C22×C4×D11—21no—
69C22×Dic22C2311yescharacteristic
70C22×C8×C11C2311yescharacteristic
71C22×C8×C11C2311yescharacteristic
72C22×C8×C11C2311yescharacteristic
73C22×C8×C11C2311yescharacteristic
74C4×Q8×C11C2×C414yes—
75C4×Q8×C11D414yes—
76C2×C11×C4⋊C4D411yescharacteristic
77C2×C11×C4⋊C4D411yescharacteristic
78C2×C11×C4⋊C4D411yescharacteristic
79C2×C42×C11C2311yescharacteristic
80C2×C42×C11C2311yescharacteristic
81C2×C42×C11C2311yescharacteristic
82#67000—28no—
83C2×(C2×D11)⋊C4—21no—
84C2×(C2×D11)⋊C4—21no—
85C2×(C2×D11)⋊C4—21no—
86C2×(C2×D11)⋊C4—21no—
87C2×(C2×D11)⋊C4—21no—
88C2×(C2×D11)⋊C4—21no—
89C2×C4⋊Dic11—21no—
90C2×C4⋊Dic11—21no—
91C2×C4⋊Dic11C2311yescharacteristic
92C2×C4⋊Dic11C2311yescharacteristic
93C2×C4⋊Dic11C2311yescharacteristic
94C2×C4⋊Dic11C2311yescharacteristic
95C2×C4⋊Dic11C2311yescharacteristic
96C2×Dic11⋊C4—21no—
97C2×C4×Dic11—21no—
98C2×C4×Dic11—21no—
99C2×C4×Dic11—21no—
100C2×C4×Dic11—21no—
101#66947—28no—
102#66947—28no—
103#66946—28no—
104#66928—22no—
105#66928—22no—
106#66928C2×C414yes—
107#66928C2×C414yes—
108#66927—22no—
109#66927C2×C414yes—
110C4×D44—22no—
111C4×D44—22no—
112C4×D44C2×C414yes—
113C4×D44C2×C414yes—
114C4×Dic22—22no—
115C4×Dic22C2×C414yes—
116C11×C4⋊C8—22no—
117C11×C4⋊C8—22no—
118C11×C4⋊C8—22no—
119C11×#97—22no—
120C11×#97—22no—
121C4×C8×C11—22no—
122C11⋊#95—21no—
123C11⋊#95—21no—
124C11⋊#95—21no—
125C11⋊#95—21no—
126C11⋊#95—21no—
127C11⋊#95—21no—
128C11⋊#95—21no—
129#66885—22no—
130#66885—22no—
131#66885—22no—
132#66885—22no—
133#66885—41no—
134#66885—41no—
135#66885—41no—
136#66885—41no—
137#66880—22no—
138#66880—22no—
139#66880—41no—
140#66880—41no—
141#22549—111nomaximal, Sylow
142C23×D11—21no—
143C23×D11—21no—
144C2×Q8×C11—41no—
145C2×Q8×C11—41no—
146C2×Q8×C11C22⋊C414yes—
147C22×C4×C11C2×D411yescharacteristic
148C22×C4×C11C2×D411yescharacteristic
149C22×C4×C11C2×D411yescharacteristic
150C22×C4×C11C2×D411yescharacteristic
151C22×C4×C11C2×D411yescharacteristic
152C22×C4×C11C2×D411yescharacteristic
153C22×C4×C11C2411yescharacteristic
154C22×Dic11—21no—
155C22×Dic11—21no—
156C22×Dic11—21no—
157C22×Dic11—21no—
158C22×Dic11—21no—
159C22×Dic11—21no—
160C2×D44—24no—
161C2×D44—24no—
162C2×D44—21no—
163C2×D44—21no—
164C2×D44—21no—
165C2×D44—21no—
166C2×D44—21no—
167C2×D44—21no—
168C2×D44—21no—
169C2×D44—21no—
170C2×D44—21no—
171C2×D44—21no—
172C2×D44—42no—
173C2×D44—42no—
174C2×D44—81no—
175C2×D44—81no—
176C2×D44C22×C412yes—
177C2×D44C22×C412yes—
178C2×C4×D11—24no—
179C2×C4×D11—24no—
180C2×C4×D11—81no—
181C2×C4×D11—81no—
182C2×C4×D11—81no—
183C2×C4×D11—81no—
184C2×Dic22—21no—
185C2×Dic22—21no—
186C2×Dic22—21no—
187C2×Dic22—21no—
188C2×Dic22—21no—
189C2×Dic22C22×C412yes—
190C2×C8×C11—21no—
191C2×C8×C11—21no—
192C2×C8×C11—21no—
193C2×C8×C11—21no—
194C2×C8×C11—21no—
195C2×C8×C11—21no—
196C2×C8×C11—21no—
197C2×C8×C11—21no—
198C2×C8×C11—21no—
199C2×C8×C11—21no—
200C2×C8×C11—21no—
201C2×C8×C11#4112yes—
202C11×C4⋊C4C22⋊C414yes—
203C11×C4⋊C4C22⋊C414yes—
204C11×C4⋊C4C22⋊C414yes—
205C42×C11C22×C412yes—
206C42×C11C22×C412yes—
207C42×C11C22×C412yes—
208C42×C11C2×D412yes—
209C42×C11C2×D412yes—
210C42×C11C2×D412yes—
211(C2×D11)⋊C4—24no—
212(C2×D11)⋊C4—24no—
213(C2×D11)⋊C4—24no—
214(C2×D11)⋊C4—24no—
215(C2×D11)⋊C4—24no—
216(C2×D11)⋊C4—24no—
217C4⋊Dic11—21no—
218C4⋊Dic11—21no—
219C4⋊Dic11—21no—
220C4⋊Dic11—21no—
221C4⋊Dic11—21no—
222C4⋊Dic11—21no—
223C4⋊Dic11—21no—
224C4⋊Dic11—21no—
225C4⋊Dic11—42no—
226C4⋊Dic11—81no—
227C4⋊Dic11C22×C412yes—
228C4⋊Dic11#4112yes—
229Dic11⋊C4—24no—
230C4×Dic11—24no—
231C4×Dic11—42no—
232C4×Dic11—81no—
233C4×Dic11—81no—
234C2×#559—111no—
235C2×#446D1111yescharacteristic, complemented
236#2355—111no—
237#1983—111no—
238#1983—111no—
239#1982—111no—
240#1961—111no—
241#1959—111no—
242#1958—111no—
243#1805—111no—
244#1804—111no—
245#1802—111no—
246#1763—111no—
247#1762—111no—
248C4×#102—111no—
249C23×C11C22×D411yescharacteristic
250C22×D11—22no—
251C22×D11—22no—
252C22×D11—41no—
253C22×D11—41no—
254C22×D11—41no—
255C22×D11—41no—
256C22×D11—41no—
257C22×D11—41no—
258C22×D11—41no—
259C22×D11—41no—
260C22×D11—41no—
261C22×D11—41no—
262C22×D11—41no—
263C22×D11—41no—
264Q8×C11—44no—
265C2×C4×C11—21no—
266C2×C4×C11—21no—
267C2×C4×C11—21no—
268C2×C4×C11—21no—
269C2×C4×C11—21no—
270C2×C4×C11—21no—
271C2×C4×C11—21no—
272C2×C4×C11—21no—
273C2×C4×C11—21no—
274C2×C4×C11—21no—
275C2×C4×C11—21no—
276C2×C4×C11—21no—
277C2×C4×C11C2×C22⋊C412yes—
278C2×C4×C11C2×C22⋊C412yes—
279C2×C4×C11C2×C22⋊C412yes—
280C2×C4×C11C2×C22⋊C412yes—
281C2×C4×C11C2×C22⋊C412yes—
282C2×C4×C11C2×C22⋊C412yes—
283C2×C4×C11C23×C411yescharacteristic
284C2×C4×C11C22×D411yescharacteristic
285C2×C4×C11C2×#4111yescharacteristic
286C2×C4×C11C2×#4111yescharacteristic
287C2×C4×C11H(5,𝔽2)11yescharacteristic
288C2×C4×C112−1+411yescharacteristic
289C2×Dic11—22no—
290C2×Dic11—22no—
291C2×Dic11—22no—
292C2×Dic11—41no—
293C2×Dic11—41no—
294C2×Dic11—41no—
295C2×Dic11—41no—
296C2×Dic11—41no—
297C2×Dic11—41no—
298C2×Dic11—41no—
299C2×Dic11—41no—
300C2×Dic11—41no—
301C2×Dic11—41no—
302C2×Dic11—41no—
303C2×Dic11—41no—
304C2×Dic11—41no—
305C2×Dic11—41no—
306C2×Dic11—41no—
307D44—22no—
308D44—22no—
309D44—22no—
310D44—22no—
311D44—48no—
312D44—41no—
313D44—41no—
314D44—41no—
315D44—41no—
316D44—84no—
317C4×D11—84no—
318C4×D11—84no—
319Dic22—22no—
320Dic22—22no—
321Dic22—41no—
322Dic22—41no—
323C8×C11—22no—
324C8×C11—41no—
325C8×C11—41no—
326C8×C11—41no—
327#559—118no—
328#559—224no—
329C2×#127—111no—
330C2×#124—111no—
331C2×#124—111no—
332C2×#124—221no—
333C2×#123—221no—
334C2×#123—221no—
335C2×C4×Q8—111no—
336C2×C4×Q8C2×D1111yescharacteristic
337C2×C4×D4—111no—
338C2×C4×D4—111no—
339C2×C4×D4—221no—
340#446—24no—
341C2×C4⋊C8C2×D1111yescharacteristic
342C2×C4⋊C8C2×D1111yescharacteristic
343C2×C4⋊C8C2×D1111yescharacteristic
344C2×#103—111no—
345C2×#103—111no—
346C2×#103—111no—
347C2×#103—111no—
348C2×#102—111no—
349C2×#102—111no—
350C2×#102—111no—
351C2×#102—111no—
352C2×#102—111no—
353C2×#102—111no—
354C2×#102—111no—
355C2×#102—111no—
356C2×#97C2×D1111yescharacteristic
357C2×#97C2×D1111yescharacteristic
358C2×C4×C8C2×D1111yescharacteristic
359#391—221no—
360#387—221no—
361#387—221no—
362#384—111no—
363#382—111no—
364#382—111no—
365C4×C4⋊C4—111no—
366C4×C4⋊C4—111no—
367C4×C4⋊C4—111no—
368C4×C4⋊C4—221no—
369#340—111no—
370#340—111no—
371#340—111no—
372#340—111no—
373C22×C11C22×C22⋊C411yescharacteristic
374C22×C11#54811yescharacteristic
375C22×C11#55011yescharacteristic
376C22×C11#57511yescharacteristic
377C22×C11#57511yescharacteristic
378C22×C11#57611yescharacteristic
379C22×C11#57711yescharacteristic
380C2×D11—42no—
381C2×D11—42no—
382C2×D11—42no—
383C2×D11—42no—
384C2×D11—42no—
385C2×D11—42no—
386C2×D11—81no—
387C2×D11—81no—
388C2×D11—81no—
389C2×D11—81no—
390C2×D11—81no—
391C2×D11—81no—
392C2×D11—81no—
393C2×D11—81no—
394C4×C11—22no—
395C4×C11—22no—
396C4×C11—22no—
397C4×C11—22no—
398C4×C11—22no—
399C4×C11—22no—
400C4×C11C4×#4111yescharacteristic
401C4×C11#52011yescharacteristic
402C4×C11#54811yescharacteristic
403C4×C11#55011yescharacteristic
404Dic11—42no—
405Dic11—42no—
406Dic11—42no—
407Dic11—81no—
408Dic11—81no—
409Dic11—81no—
410C22×Q8—111no—
411C22×Q8D4411yescharacteristic
412C22×D4—111no—
413C22×D4—111no—
414C22×D4—221no—
415C22×D4—221no—
416C23×C4—221no—
417C23×C4—221no—
418C22×C8C22×D1111yescharacteristic
419C22×C8C22×D1111yescharacteristic
420C22×C8C22×D1111yescharacteristic
421C22×C8C22×D1111yescharacteristic
422#127—114no—
423#127—222no—
424#124—114no—
425#124—114no—
426#124—228no—
427#124—222no—
428#124—222no—
429#123—228no—
430#123—228no—
431C4×Q8—114no—
432C4×Q8—222no—
433C4×Q8C4×D1114yes—
434C4×Q8C22⋊D1114yes—
435C4×D4—114no—
436C4×D4—114no—
437C4×D4—228no—
438C4×D4—222no—
439C4×D4—222no—
440C2×C4⋊C4—111no—
441C2×C4⋊C4—111no—
442C2×C4⋊C4—111no—
443C2×C4⋊C4—111no—
444C2×C4⋊C4—111no—
445C2×C4⋊C4—221no—
446C2×C4⋊C4—221no—
447C2×C4⋊C4—221no—
448C2×C4⋊C4D4411yescharacteristic
449C2×C4⋊C4D4411yescharacteristic
450C2×C4⋊C4D4411yescharacteristic
451C2×C22⋊C4—221no—
452C2×C22⋊C4—221no—
453C2×C22⋊C4—221no—
454C2×C22⋊C4—221no—
455C2×C22⋊C4—221no—
456C2×C22⋊C4—221no—
457C2×C42—221no—
458C2×C42—221no—
459C2×C42—221no—
460C2×C42—221no—
461C2×C42C22×D1111yescharacteristic
462C2×C42C22×D1111yescharacteristic
463C2×C42C22×D1111yescharacteristic
464C4⋊C8—22no—
465C4⋊C8—22no—
466C4⋊C8—22no—
467#103—222no—
468#103—222no—
469#103—441no—
470#103—441no—
471#102—222no—
472#102—222no—
473#102—222no—
474#102—222no—
475#102—441no—
476#102—441no—
477#102—441no—
478#102—441no—
479#97—22no—
480#97—22no—
481C4×C8—22no—
482#95—221no—
483#95—221no—
484#95—221no—
485#95—221no—
486#95—221no—
487#95—221no—
488#95—221no—
489C2×C11#234111yescharacteristic
490C2×C11#289611yescharacteristic
491C2×C11#289711yescharacteristic
492C2×C11#337011yescharacteristic
493C2×C11#337111yescharacteristic
494C2×C11#340111yescharacteristic
495C2×C11#340311yescharacteristic
496D11—82no—
497D11—82no—
498C24—221no—
499C24—221no—
500C2×Q8—41no—
501C2×Q8—41no—
502C2×Q8—112no—
503C2×Q8—221no—
504C2×Q8—221no—
505C2×Q8—221no—
506C2×Q8—221no—
507C2×Q8—221no—
508C2×Q8(C2×D11)⋊C414yes—
509C2×D4—112no—
510C2×D4—112no—
511C2×D4—224no—
512C2×D4—224no—
513C2×D4—221no—
514C2×D4—221no—
515C2×D4—221no—
516C2×D4—221no—
517C2×D4—221no—
518C2×D4—221no—
519C2×D4—221no—
520C2×D4—221no—
521C2×D4—221no—
522C2×D4—221no—
523C2×D4—442no—
524C2×D4—442no—
525C2×D4—881no—
526C2×D4—881no—
527C22×C4—221no—
528C22×C4—221no—
529C22×C4—221no—
530C22×C4—224no—
531C22×C4—224no—
532C22×C4—221no—
533C22×C4—221no—
534C22×C4—221no—
535C22×C4—881no—
536C22×C4—881no—
537C22×C4—881no—
538C22×C4—881no—
539C22×C4C2×D4411yescharacteristic
540C22×C4C2×D4411yescharacteristic
541C22×C4C2×D4411yescharacteristic
542C22×C4C2×D4411yescharacteristic
543C22×C4C2×D4411yescharacteristic
544C22×C4C2×D4411yescharacteristic
545C22×C4C23×D1111yescharacteristic
546C2×C8—21no—
547C2×C8—21no—
548C2×C8—21no—
549C2×C8—21no—
550C2×C8—21no—
551C2×C8—21no—
552C2×C8—21no—
553C2×C8—21no—
554C2×C8—21no—
555C2×C8—21no—
556C2×C8—21no—
557C2×C8#434312yes—
558C4⋊C4—112no—
559C4⋊C4—112no—
560C4⋊C4—224no—
561C4⋊C4—221no—
562C4⋊C4—221no—
563C4⋊C4—221no—
564C4⋊C4—221no—
565C4⋊C4—221no—
566C4⋊C4—221no—
567C4⋊C4—221no—
568C4⋊C4—221no—
569C4⋊C4—442no—
570C4⋊C4—881no—
571C4⋊C4(C2×D11)⋊C414yes—
572C4⋊C4(C2×D11)⋊C414yes—
573C4⋊C4(C2×D11)⋊C414yes—
574C22⋊C4—224no—
575C22⋊C4—224no—
576C22⋊C4—224no—
577C22⋊C4—224no—
578C22⋊C4—224no—
579C22⋊C4—224no—
580C42—224no—
581C42—442no—
582C42—881no—
583C42—881no—
584C42C2×C4×D1112yes—
585C42C2×C4×D1112yes—
586C42C2×C4×D1112yes—
587C42C2×C22⋊D1112yes—
588C42C2×C22⋊D1112yes—
589C42C2×C22⋊D1112yes—
590C11#2254911yescharacteristic, complemented, Sylow
591C23—222no—
592C23—222no—
593C23—441no—
594C23—441no—
595C23—441no—
596C23—441no—
597C23—441no—
598C23—441no—
599C23—441no—
600C23—441no—
601C23—441no—
602C23—441no—
603C23—441no—
604C23—441no—
605C23C22×D4411yescharacteristic
606Q8—44no—
607Q8—222no—
608Q8—222no—
609Q8—441no—
610Q8—441no—
611D4—222no—
612D4—222no—
613D4—222no—
614D4—222no—
615D4—448no—
616D4—441no—
617D4—441no—
618D4—441no—
619D4—441no—
620D4—884no—
621C2×C4—21no—
622C2×C4—21no—
623C2×C4—21no—
624C2×C4—21no—
625C2×C4—21no—
626C2×C4—21no—
627C2×C4—21no—
628C2×C4—21no—
629C2×C4—21no—
630C2×C4—21no—
631C2×C4—21no—
632C2×C4—21no—
633C2×C4—222no—
634C2×C4—222no—
635C2×C4—222no—
636C2×C4—441no—
637C2×C4—441no—
638C2×C4—441no—
639C2×C4—441no—
640C2×C4—441no—
641C2×C4—441no—
642C2×C4—441no—
643C2×C4—441no—
644C2×C4—441no—
645C2×C4—441no—
646C2×C4—441no—
647C2×C4—441no—
648C2×C4—441no—
649C2×C4—441no—
650C2×C4—441no—
651C2×C4—884no—
652C2×C4—884no—
653C2×C4C2×(C2×D11)⋊C412yes—
654C2×C4C2×(C2×D11)⋊C412yes—
655C2×C4C2×(C2×D11)⋊C412yes—
656C2×C4C2×(C2×D11)⋊C412yes—
657C2×C4C2×(C2×D11)⋊C412yes—
658C2×C4C2×(C2×D11)⋊C412yes—
659C2×C4C22×C4×D1111yescharacteristic
660C2×C4C2×#434311yescharacteristic
661C2×C4#6704011yescharacteristic
662C2×C4#41×D1111yescharacteristic
663C2×C4#6704211yescharacteristic
664C2×C4C22×C22⋊D1111yescharacteristic
665C8—22no—
666C8—41no—
667C8—41no—
668C8—41no—
669C22—442no—
670C22—442no—
671C22—442no—
672C22—442no—
673C22—442no—
674C22—442no—
675C22—881no—
676C22—881no—
677C22—881no—
678C22—881no—
679C22—881no—
680C22—881no—
681C22—881no—
682C22—881no—
683C22#1062310711yescharacteristic
684C22#1062310811yescharacteristic
685C22#1062327911yescharacteristic
686C22#1062327911yescharacteristic
687C22#1062328211yescharacteristic
688C22#1062328311yescharacteristic
689C22C22×(C2×D11)⋊C411yescharacteristic
690C4—22no—
691C4—22no—
692C4—22no—
693C4—22no—
694C4—22no—
695C4—22no—
696C4—442no—
697C4—442no—
698C4—442no—
699C4—881no—
700C4—881no—
701C4—881no—
702C4C4×#434311yescharacteristic
703C4#1062310511yescharacteristic
704C4#1062334811yescharacteristic
705C4#1062336511yescharacteristic
706C2—882no—
707C2—882no—
708C2#1307145411yescharacteristic
709C2#1307713611yescharacteristic
710C2#1307714311yescharacteristic
711C2#1308137111yescharacteristic
712C2#1308138611yescharacteristic
713C2#1308168411yescharacteristic
714C2#1308170611yescharacteristic
subgroupG/H
centerC23C22×D44
commutatorC2×C4×C11C23×C4
FrattiniC22×C4C23×D11
FittingC2×C11×#446C2
socleC23×C11C22×D4
prime radicalC2×#66927C22
cosocleC22×C4×C11C24
hypercenterC2×#446D11
hypocenterC11#22549
LCSG ▷ C2×C4×C11 ▷ C2×C11 ▷ C11
UCSC1 ◁ C23 ◁ C2×C4×Q8 ◁ C2×#446

Complements

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

NH ≅ G/Ntype
2. #13071573C2semidirect
3. #13069546C2semidirect
4. #13069546C2semidirect
7. #13069432C2semidirect
8. #13069427C2semidirect
9. #13068632C2semidirect
10. #13068627C2semidirect
11. #13068617C2semidirect
12. #13068447C2semidirect
13. #13068442C2semidirect
14. C4×#66885C2semidirect
15. C2×C11×#446C2semidirect
19. #10623116C4semidirect
235. C2×#446D11semidirect
590. C11#22549semidirect

Maximal subgroups

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

subgroupindex
C2×#106231162
#130715732
#130695462
#130695422
#130694402
#130694322
#130694272
#130686322
#130686272
#130686172
#130684472
#130684422
C4×#668852
C2×C11×#4462
#2254911