Finite Group Databasebeta

← #14813735

Subgroups — #14813735

Order 2816.

924 conjugacy classes of subgroups.

The subgroup lattice has 722 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#10622479C211yesmaximal, characteristic, complemented
2#13072050C211yesmaximal, characteristic
3#13071566C211yesmaximal, characteristic, complemented
4#13070141C211yesmaximal, characteristic, complemented
5#13070090C211yesmaximal, characteristic, complemented
6#13070045C211yesmaximal, characteristic, complemented
7#13069800C211yesmaximal, characteristic, complemented
8#13069242C211yesmaximal, characteristic, complemented
9#13069196C211yesmaximal, characteristic, complemented
10#13069054C211yesmaximal, characteristic, complemented
11#13068938C211yesmaximal, characteristic, complemented
12#13068913C211yesmaximal, characteristic, complemented
13#13068814C211yesmaximal, characteristic, complemented
14#13068804C211yesmaximal, characteristic, complemented
15C2×C11×#428C211yesmaximal, characteristic, complemented
16C22×C11×M16C2211yescharacteristic
17C2×C11×#117C2211yescharacteristic
18C22×C11×C4⋊C4C2211yescharacteristic
19C2×#66983—21no—
20C2×#66983C2211yescharacteristic
21C2×C4×C22⋊D11C2211yescharacteristic
22C2×#66948C2211yescharacteristic
23C2×#66945C2211yescharacteristic
24C11×#428—24no—
25C2×C11×#107C2211yescharacteristic
26C2×C11×#107C2211yescharacteristic
27C2×C11×#106C2211yescharacteristic
28C2×C11×#106C2211yescharacteristic
29#10622826—21no—
30#10622825C2211yescharacteristic
31C2×C22⋊(C11⋊C8)C2211yescharacteristic
32C2×#66885C2211yescharacteristic
33C2×#66885C2211yescharacteristic
34C2×(C2×D11)⋊C8C2211yescharacteristic
35C2×(C2×D11)⋊C8C2211yescharacteristic
36#10622607—21no—
37#10622604—21no—
38#10622601C2211yescharacteristic
39#10622600C2211yescharacteristic
40#10622600C2211yescharacteristic
41#10622598C2211yescharacteristic
42#10622589C2211yescharacteristic
43C4⋊C4×Dic11C2211yescharacteristic
44C2×#66873C2211yescharacteristic
45C2×#66873C2211yescharacteristic
46C2×#66871C2211yescharacteristic
47C2×#66871C2211yescharacteristic
48#10622570—21no—
49#10622557—21no—
50#10622553—21no—
51C4×Dic11⋊C4—21no—
52#10622479—24no—
53#10622189C2211yescharacteristic
54#10622189C2211yescharacteristic
55#10622188C2211yescharacteristic
56#10622188C2211yescharacteristic
57#10622167C2211yescharacteristic
58#10622167C2211yescharacteristic
59#10622167C2211yescharacteristic
60#10622167C2211yescharacteristic
61C23×C4×C11—21no—
62C23×C4×C11C2311yescharacteristic
63C22×C22⋊D11—21no—
64C22×C22⋊D11D411yescharacteristic
65C22×D44—21no—
66C22×D44C2311yescharacteristic
67C22×C4×D11C2311yescharacteristic
68C2×C11×M16—22no—
69C2×C11×M16—22no—
70C2×C11×M16—22no—
71C22×C8×C11C2311yescharacteristic
72C22×C8×C11C2311yescharacteristic
73C11×#117—22no—
74C11×#117—41no—
75C2×C11×C4⋊C4—22no—
76C2×C11×C4⋊C4—21no—
77C2×C11×C4⋊C4—41no—
78C2×C11×C4⋊C4C2311yescharacteristic
79C2×C11×C4⋊C4C2311yescharacteristic
80C2×C11×C4⋊C4C2311yescharacteristic
81C2×C11×C4⋊C4C2311yescharacteristic
82C2×C11×C22⋊C4—21no—
83C2×C42×C11—21no—
84C2×C22⋊Dic11—21no—
85C2×C22⋊Dic11D411yescharacteristic
86#66983—22no—
87#66983—22no—
88#66983—44no—
89C4×C22⋊D11—22no—
90C4×C22⋊D11—22no—
91C2×(C2×D11)⋊C4—21no—
92C2×(C2×D11)⋊C4—21no—
93C2×(C2×D11)⋊C4—21no—
94C2×(C2×D11)⋊C4—21no—
95C2×(C2×D11)⋊C4—21no—
96C2×(C2×D11)⋊C4—21no—
97C2×(C2×D11)⋊C4—21no—
98C2×(C2×D11)⋊C4D411yescharacteristic
99C2×C4⋊Dic11—21no—
100C2×C4⋊Dic11C2311yescharacteristic
101C2×C4⋊Dic11C2311yescharacteristic
102C2×C4⋊Dic11C2311yescharacteristic
103C2×Dic11⋊C4—21no—
104C2×Dic11⋊C4—21no—
105C2×Dic11⋊C4D411yescharacteristic
106C2×C4×Dic11—21no—
107C2×C4×Dic11—21no—
108C2×C4×Dic11C2311yescharacteristic
109C22×C11⋊C8C2311yescharacteristic
110C22×C11⋊C8C2311yescharacteristic
111#66948—22no—
112#66948—41no—
113#66945—22no—
114#66945—41no—
115C11×#107—22no—
116C11×#107—22no—
117C11×#106—22no—
118C11×#106D414yescomplemented
119C11⋊#95—21no—
120C11⋊#95—21no—
121C11⋊#95—21no—
122C11⋊#95—21no—
123C11⋊#95—21no—
124C22⋊(C11⋊C8)—22no—
125#66885—22no—
126#66885—22no—
127(C2×D11)⋊C8—22no—
128(C2×D11)⋊C8—22no—
129#66873—22no—
130#66873—41no—
131#66871—22no—
132#66871—41no—
133#26157—111nomaximal, Sylow
134C24×C11C2×D411yescharacteristic
135C23×D11—21no—
136C23×D11C2×D411yescharacteristic
137C22×C4×C11—21no—
138C22×C4×C11—21no—
139C22×C4×C11—21no—
140C22×C4×C11—21no—
141C22×C4×C11—21no—
142C22×C4×C11—21no—
143C22×C4×C11—21no—
144C22×C4×C11—21no—
145C22×C4×C11—42no—
146C22×C4×C11—42no—
147C22×C4×C11—81no—
148C22×C4×C11C2×D411yescharacteristic
149C22×C4×C11#4112yes—
150C22×C4×C11#4112yes—
151C22×C4×C11C2411yescharacteristic
152C2×C22⋊D11—22no—
153C2×C22⋊D11—22no—
154C2×C22⋊D11—41no—
155C2×C22⋊D11—42no—
156C2×C22⋊D11—42no—
157C2×C22⋊D11—42no—
158C22×Dic11—21no—
159C22×Dic11—21no—
160C22×Dic11—21no—
161C22×Dic11C2×D411yescharacteristic
162C22×Dic11C2×D411yescharacteristic
163C22×Dic11C2×D411yescharacteristic
164C2×D44—21no—
165C2×D44—21no—
166C2×D44—21no—
167C2×D44—21no—
168C2×D44—21no—
169C2×D44—21no—
170C2×D44—42no—
171C2×D44—42no—
172C2×D44—81no—
173C2×C4×D11—21no—
174C2×C4×D11—21no—
175C2×C4×D11—21no—
176C2×C4×D11—21no—
177C2×C4×D11—21no—
178C2×C4×D11—21no—
179C11×M16—28no—
180C2×C8×C11—21no—
181C2×C8×C11—21no—
182C2×C8×C11—21no—
183C2×C8×C11—21no—
184C2×C8×C11C2×D412yes—
185C2×C8×C11#4112yes—
186C11×C4⋊C4—21no—
187C11×C4⋊C4—21no—
188C11×C4⋊C4—21no—
189C11×C4⋊C4—21no—
190C11×C4⋊C4—21no—
191C11×C4⋊C4—21no—
192C11×C4⋊C4—42no—
193C11×C4⋊C4C2×D412yes—
194C11×C4⋊C4C2×D412yes—
195C11×C22⋊C4—42no—
196C42×C11—42no—
197C22⋊Dic11—22no—
198C22⋊Dic11—81no—
199(C2×D11)⋊C4—22no—
200(C2×D11)⋊C4—42no—
201(C2×D11)⋊C4—42no—
202(C2×D11)⋊C4—42no—
203(C2×D11)⋊C4—42no—
204(C2×D11)⋊C4—42no—
205(C2×D11)⋊C4—81no—
206(C2×D11)⋊C4—81no—
207C4⋊Dic11—21no—
208C4⋊Dic11—21no—
209C4⋊Dic11—21no—
210C4⋊Dic11—21no—
211C4⋊Dic11—21no—
212C4⋊Dic11—21no—
213C4⋊Dic11—42no—
214Dic11⋊C4—22no—
215Dic11⋊C4—42no—
216Dic11⋊C4—81no—
217C4×Dic11—21no—
218C4×Dic11—21no—
219C4×Dic11—42no—
220C4×Dic11—42no—
221C2×C11⋊C8—21no—
222C2×C11⋊C8—21no—
223C2×C11⋊C8—21no—
224C2×C11⋊C8—21no—
225C2×C11⋊C8—21no—
226C2×C11⋊C8—21no—
227C2×#482—111no—
228C2×#428D1111yescharacteristic, complemented
229#2416—111no—
230#2354—111no—
231#2093—111no—
232#2083—111no—
233#2076—111no—
234#2033—111no—
235#1926—111no—
236#1919—111no—
237#1895—111no—
238#1875—111no—
239#1870—111no—
240#1854—111no—
241#1852—111no—
242C23×C11—21no—
243C23×C11—21no—
244C23×C11—21no—
245C23×C11—21no—
246C23×C11—21no—
247C23×C11—21no—
248C23×C11#12312yes—
249C23×C11C22×D411yescharacteristic
250C22×D11—21no—
251C22×D11—21no—
252C22×D11—21no—
253C22×D11—21no—
254C22×D11—21no—
255C22×D11—21no—
256C22×D11—21no—
257C22×D11—41no—
258C22×D11—41no—
259C22×D11—41no—
260C22×D11—41no—
261C22×D11—41no—
262C22×D11—41no—
263C22×D11—41no—
264C2×C4×C11—21no—
265C2×C4×C11—21no—
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—41no—
273C2×C4×C11—41no—
274C2×C4×C11—41no—
275C2×C4×C11—41no—
276C2×C4×C11—41no—
277C2×C4×C11—41no—
278C2×C4×C11—41no—
279C2×C4×C11—41no—
280C2×C4×C11—41no—
281C2×C4×C11—41no—
282C2×C4×C11—84no—
283C2×C4×C11#12312yes—
284C2×C4×C11C22×D411yescharacteristic
285C2×C4×C11C2×#4111yescharacteristic
286C2×C4×C11C2×#4111yescharacteristic
287C2×C4×C11C2×#4111yescharacteristic
288C2×C4×C11H(5,𝔽2)11yescharacteristic
289C2×C4×C112−1+411yescharacteristic
290C22⋊D11—44no—
291C22⋊D11—84no—
292C2×Dic11—21no—
293C2×Dic11—21no—
294C2×Dic11—21no—
295C2×Dic11—21no—
296C2×Dic11—21no—
297C2×Dic11—21no—
298C2×Dic11—21no—
299C2×Dic11—21no—
300C2×Dic11—41no—
301C2×Dic11—41no—
302C2×Dic11—41no—
303C2×Dic11—41no—
304C2×Dic11—41no—
305C2×Dic11—41no—
306C2×Dic11—41no—
307C2×Dic11—41no—
308C2×Dic11—41no—
309C2×Dic11AGL(1,ℤ/8)12yes—
310D44—41no—
311D44—41no—
312D44—41no—
313D44—41no—
314D44—84no—
315C4×D11—41no—
316C4×D11—41no—
317C4×D11—41no—
318C4×D11—41no—
319C8×C11—22no—
320C8×C11—22no—
321C11⋊C8—41no—
322C11⋊C8—41no—
323C22×M16C2×D1111yescharacteristic
324C2×#121—111no—
325C2×#121—111no—
326C2×#121—221no—
327C2×C4×D4—111no—
328C2×#117—111no—
329C2×#117C2×D1111yescharacteristic
330C22×C4⋊C4C2×D1111yescharacteristic
331#482—224no—
332#428—24no—
333C2×#107—111no—
334C2×#107—111no—
335C2×#107C2×D1111yescharacteristic
336C2×#107C2×D1111yescharacteristic
337C2×#106C2×D1111yescharacteristic
338C2×#106C2×D1111yescharacteristic
339C2×#102—111no—
340C2×#102—111no—
341C2×#102—111no—
342C2×#102—111no—
343C2×C22⋊C8—111no—
344C2×C22⋊C8—111no—
345C2×C22⋊C8—111no—
346#396—221no—
347#394—221no—
348#390—111no—
349#390—221no—
350#389—111no—
351#388—221no—
352#388—221no—
353#386—221no—
354#384—111no—
355#380—111no—
356#380—111no—
357#380—111no—
358C4×C4⋊C4—111no—
359C4×C4⋊C4—221no—
360#340—111no—
361#340—111no—
362#340—111no—
363#340—111no—
364#340—111no—
365#340—111no—
366#336—111no—
367#336—111no—
368C22×C11—22no—
369C22×C11—22no—
370C22×C11—22no—
371C22×C11—41no—
372C22×C11—41no—
373C22×C11—41no—
374C22×C11—41no—
375C22×C11C2×#12311yescharacteristic
376C22×C11D4211yescharacteristic
377C22×C11#54711yescharacteristic
378C22×C11C2×AGL(1,ℤ/8)11yescharacteristic
379C22×C11#57511yescharacteristic
380C22×C11#57611yescharacteristic
381C22×C11#57811yescharacteristic
382C2×D11—41no—
383C2×D11—41no—
384C2×D11—41no—
385C2×D11—41no—
386C2×D11—41no—
387C2×D11—41no—
388C2×D11—41no—
389C2×D11—81no—
390C2×D11—81no—
391C2×D11—81no—
392C2×D11—81no—
393C2×D11—81no—
394C2×D11—81no—
395C2×D11—81no—
396C4×C11—22no—
397C4×C11—42no—
398C4×C11—42no—
399C4×C11—81no—
400C4×C11—81no—
401C4×C11#52511yescharacteristic
402C4×C11#53911yescharacteristic
403C4×C11#54811yescharacteristic
404C4×C11#55311yescharacteristic
405Dic11—22no—
406Dic11—41no—
407Dic11—41no—
408Dic11—81no—
409Dic11—81no—
410Dic11—81no—
411C22×D4—111no—
412C22×D4—111no—
413C22×D4—221no—
414C22×D4—221no—
415C23×C4—21no—
416C23×C4—111no—
417C23×C4C22×D1111yescharacteristic
418C2×M16—22no—
419C2×M16—22no—
420C2×M16—22no—
421C22×C8—111no—
422C22×C8—111no—
423C22×C8C22×D1111yescharacteristic
424C22×C8C22×D1111yescharacteristic
425#121—222no—
426#121—222no—
427#121—222no—
428#121—441no—
429#121—444no—
430C4×D4—222no—
431C4×D4—222no—
432#117—22no—
433#117—41no—
434#117—222no—
435#117—441no—
436C2×C4⋊C4—22no—
437C2×C4⋊C4—21no—
438C2×C4⋊C4—41no—
439C2×C4⋊C4—111no—
440C2×C4⋊C4—111no—
441C2×C4⋊C4—111no—
442C2×C4⋊C4—111no—
443C2×C4⋊C4—221no—
444C2×C4⋊C4—221no—
445C2×C4⋊C4—221no—
446C2×C4⋊C4C22×D1111yescharacteristic
447C2×C4⋊C4C22×D1111yescharacteristic
448C2×C4⋊C4C22×D1111yescharacteristic
449C2×C4⋊C4C22×D1111yescharacteristic
450C2×C22⋊C4—21no—
451C2×C22⋊C4—111no—
452C2×C22⋊C4—111no—
453C2×C22⋊C4—221no—
454C2×C22⋊C4—221no—
455C2×C22⋊C4—221no—
456C2×C22⋊C4—221no—
457C2×C22⋊C4—221no—
458C2×C22⋊C4—221no—
459C2×C22⋊C4—221no—
460C2×C22⋊C4—221no—
461C2×C42—21no—
462C2×C42—111no—
463C2×C42—221no—
464C2×C42—221no—
465#107—22no—
466#107—22no—
467#107—222no—
468#107—441no—
469#106—22no—
470#106C22⋊D1114yescomplemented
471#102—222no—
472#102—222no—
473#102—222no—
474#102—441no—
475C22⋊C8—222no—
476C22⋊C8—222no—
477C22⋊C8—222no—
478#95—221no—
479#95—221no—
480#95—221no—
481#95—221no—
482#95—221no—
483C2×C11—42no—
484C2×C11#244311yescharacteristic
485C2×C11#309411yescharacteristic
486C2×C11#309811yescharacteristic
487C2×C11#326911yescharacteristic
488C2×C11#327411yescharacteristic
489C2×C11#334711yescharacteristic
490C2×C11#335311yescharacteristic
491D11—81no—
492D11—161no—
493C24—111no—
494C24—221no—
495C24D4×D1111yescharacteristic
496C2×D4—222no—
497C2×D4—222no—
498C2×D4—221no—
499C2×D4—221no—
500C2×D4—221no—
501C2×D4—221no—
502C2×D4—221no—
503C2×D4—221no—
504C2×D4—442no—
505C2×D4—442no—
506C2×D4—441no—
507C2×D4—442no—
508C2×D4—442no—
509C2×D4—442no—
510C2×D4—881no—
511C22×C4—21no—
512C22×C4—21no—
513C22×C4—21no—
514C22×C4—21no—
515C22×C4—21no—
516C22×C4—21no—
517C22×C4—21no—
518C22×C4—21no—
519C22×C4—42no—
520C22×C4—42no—
521C22×C4—81no—
522C22×C4—111no—
523C22×C4—111no—
524C22×C4—111no—
525C22×C4—221no—
526C22×C4—221no—
527C22×C4—221no—
528C22×C4—221no—
529C22×C4—221no—
530C22×C4—221no—
531C22×C4—221no—
532C22×C4—221no—
533C22×C4—221no—
534C22×C4#433912yes—
535C22×C4D4×D1111yescharacteristic
536C22×C4#434312yes—
537C22×C4C23×D1111yescharacteristic
538M16—28no—
539C2×C8—21no—
540C2×C8—21no—
541C2×C8—21no—
542C2×C8—21no—
543C2×C8—221no—
544C2×C8—221no—
545C2×C8—221no—
546C2×C8—221no—
547C2×C8—221no—
548C2×C8—221no—
549C2×C8#433912yes—
550C2×C8C2×C22⋊D1112yes—
551C4⋊C4—21no—
552C4⋊C4—21no—
553C4⋊C4—21no—
554C4⋊C4—21no—
555C4⋊C4—21no—
556C4⋊C4—21no—
557C4⋊C4—42no—
558C4⋊C4—222no—
559C4⋊C4—221no—
560C4⋊C4—221no—
561C4⋊C4—221no—
562C4⋊C4—221no—
563C4⋊C4—221no—
564C4⋊C4—221no—
565C4⋊C4—442no—
566C4⋊C4—442no—
567C4⋊C4—881no—
568C4⋊C4C2×C22⋊D1112yes—
569C4⋊C4C2×C22⋊D1112yes—
570C22⋊C4—42no—
571C22⋊C4—222no—
572C22⋊C4—222no—
573C22⋊C4—442no—
574C22⋊C4—442no—
575C22⋊C4—442no—
576C22⋊C4—442no—
577C22⋊C4—442no—
578C22⋊C4—881no—
579C22⋊C4—881no—
580C22⋊C4—881no—
581C42—42no—
582C42—221no—
583C42—221no—
584C42—442no—
585C42—442no—
586C11#2615711yescharacteristic, complemented, Sylow
587C23—21no—
588C23—21no—
589C23—21no—
590C23—21no—
591C23—21no—
592C23—21no—
593C23—221no—
594C23—221no—
595C23—221no—
596C23—221no—
597C23—221no—
598C23—221no—
599C23—221no—
600C23—441no—
601C23—441no—
602C23—441no—
603C23—441no—
604C23—441no—
605C23—441no—
606C23—441no—
607C23#6694712yes—
608C23C2×D4×D1111yescharacteristic
609D4—444no—
610D4—441no—
611D4—441no—
612D4—441no—
613D4—441no—
614D4—884no—
615D4—884no—
616C2×C4—21no—
617C2×C4—21no—
618C2×C4—22no—
619C2×C4—22no—
620C2×C4—22no—
621C2×C4—22no—
622C2×C4—22no—
623C2×C4—22no—
624C2×C4—41no—
625C2×C4—41no—
626C2×C4—41no—
627C2×C4—41no—
628C2×C4—41no—
629C2×C4—41no—
630C2×C4—41no—
631C2×C4—41no—
632C2×C4—41no—
633C2×C4—41no—
634C2×C4—84no—
635C2×C4—112no—
636C2×C4—221no—
637C2×C4—221no—
638C2×C4—221no—
639C2×C4—221no—
640C2×C4—221no—
641C2×C4—221no—
642C2×C4—221no—
643C2×C4—221no—
644C2×C4—441no—
645C2×C4—441no—
646C2×C4—441no—
647C2×C4—441no—
648C2×C4—441no—
649C2×C4—441no—
650C2×C4—441no—
651C2×C4—441no—
652C2×C4—441no—
653C2×C4—441no—
654C2×C4—441no—
655C2×C4—441no—
656C2×C4—441no—
657C2×C4#6694712yes—
658C2×C4C2×#433911yescharacteristic
659C2×C4C2×#433911yescharacteristic
660C2×C4#6703711yescharacteristic
661C2×C4C2×#434311yescharacteristic
662C2×C4#6704011yescharacteristic
663C2×C4C22×C22⋊D1111yescharacteristic
664C8—22no—
665C8—22no—
666C8—441no—
667C8—441no—
668C22—22no—
669C22—22no—
670C22—22no—
671C22—41no—
672C22—41no—
673C22—41no—
674C22—41no—
675C22—441no—
676C22—441no—
677C22—441no—
678C22—441no—
679C22—441no—
680C22—441no—
681C22—441no—
682C22—881no—
683C22—881no—
684C22—881no—
685C22—881no—
686C22—881no—
687C22—881no—
688C22—881no—
689C22C2×#6694711yescharacteristic
690C22#1062303811yescharacteristic
691C22D11×AGL(1,ℤ/8)11yescharacteristic
692C22#1062330511yescharacteristic
693C22#1062330811yescharacteristic
694C22#1062331011yescharacteristic
695C22D4×C22⋊D1111yescharacteristic
696C4—22no—
697C4—42no—
698C4—42no—
699C4—81no—
700C4—81no—
701C4—222no—
702C4—441no—
703C4—441no—
704C4—881no—
705C4—881no—
706C4—881no—
707C4#1062304511yescharacteristic
708C4#1062304611yescharacteristic
709C4#1062332211yescharacteristic
710C4#1062334811yescharacteristic
711C2—42no—
712C2—881no—
713C2—1761no—
714C2#1307235111yescharacteristic
715C2#1307855811yescharacteristic
716C2#1307859811yescharacteristic
717C2#1308016511yescharacteristic
718C2#1308023011yescharacteristic
719C2#1308111711yescharacteristic
720C2#1308119611yescharacteristic
subgroupG/H
centerC23C2×D4×D11
commutator, cosocleC22×C4×C11C24
FrattiniC22×C4C23×D11
FittingC2×C11×#428C2
socleC23×C11C22×D4
prime radical#13072050C2
hypercenterC2×#428D11
hypocenterC11#26157
LCSG ▷ C22×C4×C11 ▷ C2×C11 ▷ C11
UCSC1 ◁ C23 ◁ C23×C4 ◁ C2×#428

Complements

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

NH ≅ G/Ntype
1. C2×#10622479C2semidirect
3. #13071566C2semidirect
4. #13070141C2semidirect
5. #13070090C2semidirect
6. #13070045C2semidirect
7. #13069800C2semidirect
8. #13069242C2semidirect
9. #13069196C2semidirect
10. #13069054C2semidirect
11. #13068938C2semidirect
12. #13068913C2semidirect
13. #13068814C2semidirect
14. #13068804C2semidirect
15. C2×C11×#428C2semidirect
118. C11×#106D4semidirect
228. C2×#428D11semidirect
470. #106C22⋊D11semidirect
586. C11#26157semidirect

Maximal subgroups

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

subgroupindex
C2×#106224792
#130720502
#130715662
#130701412
#130700902
#130700452
#130698002
#130692422
#130691962
#130690542
#130689382
#130689132
#130688142
#130688042
C2×C11×#4282
#2615711