Finite Group Databasebeta

← #14771097

Subgroups — #14771097

Order 2816.

1150 conjugacy classes of subgroups.

The subgroup lattice has 744 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#10622744C211yesmaximal, characteristic
2#13071499C211yesmaximal, characteristic, complemented
3C22⋊C4×D44C211yesmaximal, characteristic
4#13069313C211yesmaximal, characteristic, complemented
5#13069299C211yesmaximal, characteristic, complemented
6#13069244C211yesmaximal, characteristic, complemented
7#13069237C211yesmaximal, characteristic, complemented
8#13068880C211yesmaximal, characteristic, complemented
9#13068866C211yesmaximal, characteristic, complemented
10#13068712C211yesmaximal, characteristic, complemented
11#13068649C211yesmaximal, characteristic, complemented
12#13068548C211yesmaximal, characteristic
13#13068442C211yesmaximal, characteristic, complemented
14C4×#66885C211yesmaximal, characteristic, complemented
15C11×#1753C211yesmaximal, characteristic, complemented
16C23×D44C2211yescharacteristic
17C22×C11×M16C2211yescharacteristic
18C2×#66979C2211yescharacteristic
19C2×C22⋊C4×D11—21no—
20C2×C4×D44C2211yescharacteristic
21C2×C4×D44C2211yescharacteristic
22C2×C11×C22⋊C8C2211yescharacteristic
23C2×C11×#97C2211yescharacteristic, complemented
24C2×C4×C8×C11C2211yescharacteristic, complemented
25C4×C11×C22⋊C4C2211yescharacteristic
26#10622825C2211yescharacteristic
27#10622825C2211yescharacteristic
28#10622744C418yescomplemented
29C2×#66885C2211yescharacteristic
30C2×#66885C2211yescharacteristic
31C2×#66885C2211yescharacteristic
32C2×#66885C2211yescharacteristic
33C2×#66885C2211yescharacteristic
34C2×#66885C2211yescharacteristic
35C2×#66885C2211yescharacteristic
36C2×#66885C2211yescharacteristic
37C2×#66882C2211yescharacteristic, complemented
38C2×#66881C2211yescharacteristic, complemented
39#10622568—21no—
40#10622557—21no—
41#10622557—21no—
42#10622552C2211yescharacteristic
43#10622552C2211yescharacteristic
44C4×C4⋊Dic11C2211yescharacteristic, complemented
45C4×C4⋊Dic11C2211yescharacteristic, complemented
46#10622541C2211yescharacteristic, complemented
47#10622541C2211yescharacteristic, complemented
48#10622278—21no—
49#10622278—21no—
50#10622263—21no—
51#10622261—21no—
52C11×#336C2211yescharacteristic, complemented
53C11×#336C2211yescharacteristic, complemented
54#10622189C2211yescharacteristic, complemented
55#10622189C2211yescharacteristic, complemented
56#10622189C2211yescharacteristic, complemented
57#10622189C2211yescharacteristic, complemented
58#10622189C2211yescharacteristic, complemented
59#10622189C2211yescharacteristic, complemented
60C24×D11—21no—
61C23×C4×C11C2311yescharacteristic
62C22×D44—22no—
63C22×D44—22no—
64C22×D44—21no—
65C22×D44—22no—
66C22×D44—41no—
67C22×D44—41no—
68C22×D44C2×C414yes—
69C22×D44C2311yescharacteristic
70C22×D44C2311yescharacteristic
71C22×C4×D11—21no—
72C22×C4×D11—21no—
73C2×C11×M16—41no—
74C2×C11×M16—41no—
75C2×C11×M16C2×C414yescomplemented
76C22×C8×C11C2311yescharacteristic
77C22×C8×C11C2311yescharacteristic
78C22×C8×C11C2311yescharacteristic
79C22×C8×C11C2311yescharacteristic
80C2×C11×C22⋊C4D411yescharacteristic
81C2×C11×C22⋊C4D411yescharacteristic
82C2×C42×C11C2311yescharacteristic
83C2×C42×C11C2311yescharacteristic
84C2×C22⋊Dic11—21no—
85C2×C22⋊Dic11—21no—
86C2×C22⋊Dic11—21no—
87C2×(C2×D11)⋊C4—21no—
88C2×(C2×D11)⋊C4—21no—
89C2×(C2×D11)⋊C4—21no—
90C2×(C2×D11)⋊C4—21no—
91C2×(C2×D11)⋊C4—21no—
92C2×(C2×D11)⋊C4—21no—
93#66979—22no—
94#66979C2×C414yescomplemented
95C2×C4⋊Dic11C2311yescharacteristic
96C2×C4⋊Dic11C2311yescharacteristic
97C2×C4⋊Dic11C2311yescharacteristic
98C2×C4⋊Dic11C2311yescharacteristic
99C2×C4⋊Dic11C2311yescharacteristic
100C2×C4⋊Dic11C2311yescharacteristic
101C2×Dic11⋊C4—21no—
102C2×Dic11⋊C4—21no—
103C2×C4×Dic11—21no—
104C2×C4×Dic11—21no—
105C2×C4×Dic11—21no—
106C22⋊C4×D11—44no—
107C4×D44—22no—
108C4×D44—22no—
109C4×D44—41no—
110C4×D44—41no—
111C11×C22⋊C8—22no—
112C11×#97—41no—
113C4×C8×C11—41no—
114C11×#95D411yescharacteristic
115C11×#95D411yescharacteristic
116C11⋊#95—21no—
117C11⋊#95—21no—
118C11⋊#95—21no—
119C11⋊#95—21no—
120C11⋊#95—21no—
121C11⋊#95—21no—
122#66885—22no—
123#66885—22no—
124#66885—41no—
125#66885—41no—
126#66885C2×C414yes—
127#66885C2×C414yes—
128#66885C2×C414yescomplemented
129#66885C2×C414yescomplemented
130#66882—41no—
131#66881—41no—
132#22584—111nomaximal, Sylow
133C24×C11C2×D411yescharacteristic
134C23×D11—21no—
135C23×D11—21no—
136C23×D11—24no—
137C23×D11—42no—
138C23×D11—42no—
139C23×D11—42no—
140C23×D11—42no—
141C23×D11—81no—
142C23×D11—81no—
143C22×C4×C11—21no—
144C22×C4×C11—21no—
145C22×C4×C11—21no—
146C22×C4×C11—21no—
147C22×C4×C11C22×C412yes—
148C22×C4×C11C2×D411yescharacteristic
149C22×C4×C11C2×D411yescharacteristic
150C22×C4×C11C2×D411yescharacteristic
151C22×C4×C11C2×D411yescharacteristic
152C22×C4×C11C2×D411yescharacteristic
153C22×C4×C11#4112yes—
154C22×C4×C11C2411yescharacteristic
155C22×Dic11—21no—
156C22×Dic11—21no—
157C22×Dic11—21no—
158C22×Dic11—21no—
159C22×Dic11—21no—
160C22×Dic11—21no—
161C2×D44—28no—
162C2×D44—24no—
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—42no—
172C2×D44—42no—
173C2×D44—44no—
174C2×D44—44no—
175C2×D44—44no—
176C2×D44C22×C412yes—
177C2×D44C22×C412yes—
178C2×D44#4112yes—
179C2×D44#4112yes—
180C2×C4×D11—42no—
181C2×C4×D11—42no—
182C2×C4×D11—42no—
183C2×C4×D11—42no—
184C2×C4×D11—81no—
185C2×C4×D11—81no—
186C11×M16—44no—
187C2×C8×C11—21no—
188C2×C8×C11—21no—
189C2×C8×C11—21no—
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×C11C22×C412yes—
198C2×C8×C11C22×C412yes—
199C11×C22⋊C4—22no—
200C11×C22⋊C4—41no—
201C42×C11—21no—
202C42×C11—21no—
203C42×C11—21no—
204C42×C11—21no—
205C22⋊Dic11—24no—
206C22⋊Dic11—42no—
207C22⋊Dic11—81no—
208(C2×D11)⋊C4—42no—
209(C2×D11)⋊C4—42no—
210(C2×D11)⋊C4—42no—
211(C2×D11)⋊C4—42no—
212(C2×D11)⋊C4—81no—
213(C2×D11)⋊C4—81no—
214C4⋊Dic11—21no—
215C4⋊Dic11—21no—
216C4⋊Dic11—21no—
217C4⋊Dic11—21no—
218C4⋊Dic11—21no—
219C4⋊Dic11—21no—
220C4⋊Dic11—21no—
221C4⋊Dic11—21no—
222C4⋊Dic11—21no—
223C4⋊Dic11—21no—
224C4⋊Dic11C22×C412yes—
225C4⋊Dic11C22×C412yes—
226Dic11⋊C4—81no—
227Dic11⋊C4—81no—
228C4×Dic11—24no—
229C4×Dic11—42no—
230C4×Dic11—42no—
231C2×#418—111no—
232#2346—111no—
233D4×C22⋊C4—111no—
234#1936—111no—
235#1934—111no—
236#1926—111no—
237#1925—111no—
238#1864—111no—
239#1862—111no—
240#1825—111no—
241#1809—111no—
242#1786—111no—
243#1762—111no—
244C4×#102—111no—
245#1753D1111yescharacteristic, complemented
246C23×C11—21no—
247C23×C11—21no—
248C23×C11—21no—
249C23×C11—21no—
250C23×C11—21no—
251C23×C11—21no—
252C23×C11C4×D412yes—
253C23×C11C22×D411yescharacteristic
254C22×D11—22no—
255C22×D11—22no—
256C22×D11—22no—
257C22×D11—22no—
258C22×D11—48no—
259C22×D11—41no—
260C22×D11—41no—
261C22×D11—41no—
262C22×D11—41no—
263C22×D11—48no—
264C22×D11—41no—
265C22×D11—41no—
266C22×D11—41no—
267C22×D11—41no—
268C22×D11—41no—
269C22×D11—41no—
270C22×D11—84no—
271C22×D11—84no—
272C22×D11—84no—
273C22×D11—84no—
274C22×D11—84no—
275C2×C4×C11—21no—
276C2×C4×C11—21no—
277C2×C4×C11—21no—
278C2×C4×C11—21no—
279C2×C4×C11—22no—
280C2×C4×C11—22no—
281C2×C4×C11—22no—
282C2×C4×C11—22no—
283C2×C4×C11—21no—
284C2×C4×C11—21no—
285C2×C4×C11—21no—
286C2×C4×C11—21no—
287C2×C4×C11—21no—
288C2×C4×C11—21no—
289C2×C4×C11—21no—
290C2×C4×C11—21no—
291C2×C4×C11—21no—
292C2×C4×C11C4×D412yes—
293C2×C4×C11AGL(1,ℤ/8)12yes—
294C2×C4×C11C23×C411yescharacteristic
295C2×C4×C11C2×#4111yescharacteristic
296C2×C4×C11C2×#4111yescharacteristic
297C2×C4×C11C2×#4111yescharacteristic
298C2×C4×C11H(5,𝔽2)11yescharacteristic
299C2×C4×C11H(5,𝔽2)11yescharacteristic
300C2×Dic11—22no—
301C2×Dic11—22no—
302C2×Dic11—41no—
303C2×Dic11—41no—
304C2×Dic11—41no—
305C2×Dic11—41no—
306C2×Dic11—41no—
307C2×Dic11—41no—
308C2×Dic11—41no—
309C2×Dic11—41no—
310C2×Dic11—41no—
311C2×Dic11—41no—
312C2×Dic11—41no—
313C2×Dic11—41no—
314C2×Dic11—41no—
315C2×Dic11—41no—
316C2×Dic11—41no—
317C2×Dic11—41no—
318D44—22no—
319D44—22no—
320D44—22no—
321D44—22no—
322D44—22no—
323D44—48no—
324D44—41no—
325D44—41no—
326D44#11714yes—
327C4×D11—84no—
328C4×D11—84no—
329C8×C11—22no—
330C8×C11—22no—
331C8×C11—41no—
332C8×C11—41no—
333C23×D4—111no—
334C22×M16C2×D1111yescharacteristic
335C2×C4×D4—111no—
336C2×C4×D4—111no—
337C2×#117—111no—
338C22×C22⋊C4—221no—
339C2×#107—111no—
340C2×#106—111no—
341#418—118no—
342C2×#102—111no—
343C2×#102—111no—
344C2×#102—111no—
345C2×#102—111no—
346C2×#102—111no—
347C2×#102—111no—
348C2×#102—111no—
349C2×#102—111no—
350C2×C22⋊C8C2×D1111yescharacteristic
351C2×#97C2×D1111yescharacteristic, complemented
352C2×C4×C8C2×D1111yescharacteristic, complemented
353#390—111no—
354#390—111no—
355#389—111no—
356#389—111no—
357#388—221no—
358#388—221no—
359#386—221no—
360#386—221no—
361#382—221no—
362#380—111no—
363#380—111no—
364#379—221no—
365C4×C4⋊C4—111no—
366C4×C4⋊C4—111no—
367C4×C22⋊C4C2×D1111yescharacteristic
368#376—221no—
369#340—111no—
370#340—111no—
371#340—111no—
372#340—111no—
373#340—111no—
374#340—111no—
375#336C2×D1111yescharacteristic, complemented
376#336C2×D1111yescharacteristic, complemented
377C22×C11—22no—
378C22×C11—22no—
379C22×C11—22no—
380C22×C11—41no—
381C22×C11—41no—
382C22×C11—41no—
383C22×C11—41no—
384C22×C11C2×C4×D411yescharacteristic
385C22×C11#54611yescharacteristic
386C22×C11#54611yescharacteristic
387C22×C11C2×AGL(1,ℤ/8)11yescharacteristic
388C22×C11#57511yescharacteristic
389C22×C11#57611yescharacteristic
390C22×C11#57711yescharacteristic
391C2×D11—24no—
392C2×D11—42no—
393C2×D11—42no—
394C2×D11—42no—
395C2×D11—42no—
396C2×D11—42no—
397C2×D11—42no—
398C2×D11—42no—
399C2×D11—42no—
400C2×D11—42no—
401C2×D11—816no—
402C2×D11—81no—
403C2×D11—81no—
404C2×D11—81no—
405C2×D11—81no—
406C4×C11—22no—
407C4×C11—22no—
408C4×C11—41no—
409C4×C11—41no—
410C4×C11—41no—
411C4×C11C2×#11711yescharacteristic
412C4×C11#51811yescharacteristic
413C4×C11#55111yescharacteristic
414C4×C11#55111yescharacteristic
415Dic11—42no—
416Dic11—42no—
417Dic11—81no—
418Dic11—81no—
419Dic11—81no—
420Dic11—81no—
421C25—221no—
422C22×D4—114no—
423C22×D4—111no—
424C22×D4—111no—
425C22×D4—222no—
426C22×D4—222no—
427C22×D4—221no—
428C22×D4—222no—
429C22×D4—441no—
430C22×D4—441no—
431C23×C4—221no—
432C23×C4—221no—
433C23×C4C22×D1111yescharacteristic
434C2×M16—41no—
435C2×M16—41no—
436C2×M16C4×D1114yescomplemented
437C22×C8C22×D1111yescharacteristic
438C22×C8C22×D1111yescharacteristic
439C22×C8C22×D1111yescharacteristic
440C22×C8C22×D1111yescharacteristic
441C4×D4—222no—
442C4×D4—222no—
443C4×D4—441no—
444C4×D4—441no—
445#117—114no—
446#117—222no—
447C2×C4⋊C4—111no—
448C2×C4⋊C4—111no—
449C2×C4⋊C4—111no—
450C2×C4⋊C4—111no—
451C2×C4⋊C4—111no—
452C2×C4⋊C4—111no—
453C2×C4⋊C4—221no—
454C2×C4⋊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×C22⋊C4—221no—
462C2×C22⋊C4—221no—
463C2×C22⋊C4—221no—
464C2×C22⋊C4—444no—
465C2×C22⋊C4D4411yescharacteristic
466C2×C22⋊C4D4411yescharacteristic
467C2×C42—221no—
468C2×C42—221no—
469C2×C42—221no—
470C2×C42C22×D1111yescharacteristic
471C2×C42C22×D1111yescharacteristic
472#107—441no—
473#106—441no—
474#102—114no—
475#102—114no—
476#102—114no—
477#102—114no—
478#102—222no—
479#102—222no—
480#102—441no—
481#102—441no—
482C22⋊C8—22no—
483#97—41no—
484C4×C8—41no—
485#95—221no—
486#95—221no—
487#95—221no—
488#95—221no—
489#95—221no—
490#95—221no—
491#95D4411yescharacteristic
492#95D4411yescharacteristic
493C2×C11—42no—
494C2×C11#234211yescharacteristic
495C2×C11C4×AGL(1,ℤ/8)11yescharacteristic
496C2×C11#294611yescharacteristic
497C2×C11#331011yescharacteristic
498C2×C11#331911yescharacteristic
499C2×C11#332311yescharacteristic
500C2×C11#332511yescharacteristic
501D11—44no—
502D11—82no—
503C24—221no—
504C24—221no—
505C24—224no—
506C24—442no—
507C24—442no—
508C24—442no—
509C24—442no—
510C24—881no—
511C24—881no—
512C24C2×D4411yescharacteristic
513C2×D4—112no—
514C2×D4—112no—
515C2×D4—112no—
516C2×D4—112no—
517C2×D4—228no—
518C2×D4—224no—
519C2×D4—221no—
520C2×D4—221no—
521C2×D4—221no—
522C2×D4—221no—
523C2×D4—221no—
524C2×D4—221no—
525C2×D4—221no—
526C2×D4—221no—
527C2×D4—444no—
528C2×D4—444no—
529C2×D4—444no—
530C2×D4—442no—
531C2×D4—442no—
532C22×C4—21no—
533C22×C4—21no—
534C22×C4—21no—
535C22×C4—21no—
536C22×C4—221no—
537C22×C4—221no—
538C22×C4—221no—
539C22×C4—221no—
540C22×C4—221no—
541C22×C4—221no—
542C22×C4—442no—
543C22×C4—442no—
544C22×C4—442no—
545C22×C4—442no—
546C22×C4—881no—
547C22×C4—881no—
548C22×C4C2×C4×D1112yes—
549C22×C4C2×D4411yescharacteristic
550C22×C4C2×D4411yescharacteristic
551C22×C4C2×D4411yescharacteristic
552C22×C4C2×D4411yescharacteristic
553C22×C4C2×D4411yescharacteristic
554C22×C4#433912yes—
555C22×C4C23×D1111yescharacteristic
556M16—44no—
557C2×C8—21no—
558C2×C8—21no—
559C2×C8—21no—
560C2×C8—21no—
561C2×C8—21no—
562C2×C8—21no—
563C2×C8—21no—
564C2×C8—21no—
565C2×C8—21no—
566C2×C8—21no—
567C2×C8C2×C4×D1112yes—
568C2×C8C2×C4×D1112yes—
569C4⋊C4—112no—
570C4⋊C4—112no—
571C4⋊C4—221no—
572C4⋊C4—221no—
573C4⋊C4—221no—
574C4⋊C4—221no—
575C4⋊C4—221no—
576C4⋊C4—221no—
577C4⋊C4—221no—
578C4⋊C4—221no—
579C4⋊C4—221no—
580C4⋊C4—221no—
581C4⋊C4—881no—
582C4⋊C4—881no—
583C22⋊C4—22no—
584C22⋊C4—41no—
585C22⋊C4—224no—
586C22⋊C4—442no—
587C22⋊C4—442no—
588C22⋊C4—442no—
589C22⋊C4—442no—
590C22⋊C4—442no—
591C22⋊C4—881no—
592C22⋊C4—881no—
593C22⋊C4—881no—
594C42—21no—
595C42—21no—
596C42—21no—
597C42—21no—
598C42—224no—
599C42—442no—
600C42—442no—
601C11#2258411yescharacteristic, complemented, Sylow
602C23—21no—
603C23—21no—
604C23—21no—
605C23—21no—
606C23—21no—
607C23—21no—
608C23—222no—
609C23—222no—
610C23—222no—
611C23—222no—
612C23—448no—
613C23—448no—
614C23—441no—
615C23—441no—
616C23—441no—
617C23—441no—
618C23—441no—
619C23—441no—
620C23—441no—
621C23—441no—
622C23—441no—
623C23—441no—
624C23—884no—
625C23—884no—
626C23—884no—
627C23—884no—
628C23—884no—
629C23C4×D4412yes—
630C23C22×D4411yescharacteristic
631D4—114no—
632D4—222no—
633D4—222no—
634D4—222no—
635D4—222no—
636D4—222no—
637D4—448no—
638D4—441no—
639D4—441no—
640C2×C4—21no—
641C2×C4—21no—
642C2×C4—21no—
643C2×C4—21no—
644C2×C4—22no—
645C2×C4—22no—
646C2×C4—22no—
647C2×C4—22no—
648C2×C4—21no—
649C2×C4—21no—
650C2×C4—21no—
651C2×C4—21no—
652C2×C4—21no—
653C2×C4—21no—
654C2×C4—21no—
655C2×C4—21no—
656C2×C4—21no—
657C2×C4—222no—
658C2×C4—222no—
659C2×C4—441no—
660C2×C4—441no—
661C2×C4—441no—
662C2×C4—441no—
663C2×C4—441no—
664C2×C4—441no—
665C2×C4—441no—
666C2×C4—441no—
667C2×C4—441no—
668C2×C4—441no—
669C2×C4—441no—
670C2×C4—441no—
671C2×C4—441no—
672C2×C4—441no—
673C2×C4—441no—
674C2×C4—441no—
675C2×C4—884no—
676C2×C4—884no—
677C2×C4C4×D4412yes—
678C2×C4#6696112yes—
679C2×C4C22×C4×D1111yescharacteristic
680C2×C4C2×#433911yescharacteristic
681C2×C4#6703711yescharacteristic
682C2×C4#6703711yescharacteristic
683C2×C4#41×D1111yescharacteristic
684C2×C4#41×D1111yescharacteristic
685C8—22no—
686C8—22no—
687C8—41no—
688C8—41no—
689C22—22no—
690C22—22no—
691C22—22no—
692C22—41no—
693C22—41no—
694C22—41no—
695C22—41no—
696C22—224no—
697C22—442no—
698C22—442no—
699C22—442no—
700C22—442no—
701C22—442no—
702C22—442no—
703C22—442no—
704C22—442no—
705C22—442no—
706C22—8816no—
707C22—881no—
708C22—881no—
709C22—881no—
710C22—881no—
711C22C2×C4×D4411yescharacteristic
712C22#1062308511yescharacteristic
713C22#1062308511yescharacteristic
714C22C2×#6696111yescharacteristic
715C22#1062327911yescharacteristic
716C22#1062328211yescharacteristic
717C22#1062328311yescharacteristic
718C4—22no—
719C4—22no—
720C4—41no—
721C4—41no—
722C4—41no—
723C4—442no—
724C4—442no—
725C4—881no—
726C4—881no—
727C4—881no—
728C4—881no—
729C4#1062301711yescharacteristic
730C4D11×#11711yescharacteristic
731C4#1062308711yescharacteristic
732C4#1062308711yescharacteristic
733C2—42no—
734C2—444no—
735C2—882no—
736C2#1307146811yescharacteristic
737C2C4×#6696111yescharacteristic
738C2#1307745011yescharacteristic
739C2#1308063911yescharacteristic
740C2#1308077411yescharacteristic
741C2#1308083411yescharacteristic
742C2#1308085911yescharacteristic
subgroupG/H
centerC23C22×D44
commutatorC2×C4×C11C23×C4
FrattiniC22×C4C23×D11
FittingC11×#1753C2
socleC23×C11C22×D4
prime radicalC23×D44C22
cosocleC22×C4×C11C24
hypercenter#1753D11
hypocenterC11#22584
LCSG ▷ C2×C4×C11 ▷ C2×C11 ▷ C11
UCSC1 ◁ C23 ◁ C4×C22⋊C4 ◁ #1753

Complements

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

NH ≅ G/Ntype
2. #13071499C2semidirect
4. #13069313C2semidirect
5. #13069299C2semidirect
6. #13069244C2semidirect
7. #13069237C2semidirect
8. #13068880C2semidirect
9. #13068866C2semidirect
10. #13068712C2semidirect
11. #13068649C2semidirect
13. #13068442C2semidirect
14. C4×#66885C2semidirect
15. C11×#1753C2semidirect
23. C2×C11×#97C22semidirect
24. C2×C4×C8×C11C22semidirect
28. #10622744C4semidirect
37. C2×#66882C22semidirect
38. C2×#66881C22semidirect
44. C4×C4⋊Dic11C22semidirect
45. C4×C4⋊Dic11C22semidirect
46. #10622541C22semidirect
47. #10622541C22semidirect
52. C11×#336C22semidirect
53. C11×#336C22semidirect
54. #10622189C22semidirect
55. #10622189C22semidirect
56. #10622189C22semidirect
57. #10622189C22semidirect
58. #10622189C22semidirect
59. #10622189C22semidirect
75. C2×C11×M16C2×C4semidirect
94. #66979C2×C4semidirect
128. #66885C2×C4semidirect
129. #66885C2×C4semidirect
245. #1753D11semidirect
351. C2×#97C2×D11semidirect
352. C2×C4×C8C2×D11semidirect
375. #336C2×D11semidirect
376. #336C2×D11semidirect
436. C2×M16C4×D11semidirect
601. C11#22584semidirect

Maximal subgroups

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

subgroupindex
C2×#106227442
#130714992
C22⋊C4×D442
#130693132
#130692992
#130692442
#130692372
#130688802
#130688662
#130687122
#130686492
#130685482
#130684422
C4×#668852
C11×#17532
#2258411