Finite Group Databasebeta

← #14774053

Subgroups — #14774053

Order 2816.

1118 conjugacy classes of subgroups.

The subgroup lattice has 736 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#10622346C211yesmaximal, characteristic
2C2×#10622502C211yesmaximal, characteristic, complemented
3C2×#10622615C211yesmaximal, characteristic
4#13071643C211yesmaximal, characteristic, complemented
5#13071444C211yesmaximal, characteristic
6#13069485C211yesmaximal, characteristic, complemented
7#13069304C211yesmaximal, characteristic, complemented
8#13069256C211yesmaximal, characteristic, complemented
9#13069037C211yesmaximal, characteristic, complemented
10#13068958C211yesmaximal, characteristic, complemented
11#13068951C211yesmaximal, characteristic, complemented
12#13068874C211yesmaximal, characteristic, complemented
13#13068440C211yesmaximal, characteristic, complemented
14#13068395C211yesmaximal, characteristic, complemented
15C11×#1854C211yesmaximal, characteristic, complemented
16C22×#4339C2211yescharacteristic
17C2×C11×#117C2211yescharacteristic
18C2×#66977C2211yescharacteristic
19C23×C11⋊C8C2211yescharacteristic
20C22×Dic44C2211yescharacteristic
21C22×#4314C2211yescharacteristic
22C2×#66946C2211yescharacteristic
23C2×#66946C2211yescharacteristic
24C2×#66940C2211yescharacteristic
25C2×C11×#107C2211yescharacteristic
26C2×C11×#106C2211yescharacteristic
27C2×C11×C22⋊C8C2211yescharacteristic
28C11×#380C2211yescharacteristic
29C4×C22⋊Dic11C2211yescharacteristic
30C2×#66885C2211yescharacteristic
31C2×#66880C2211yescharacteristic
32C2×#66879C2211yescharacteristic
33C2×#66879C2211yescharacteristic
34#10622615—24no—
35C4⋊C4×Dic11C2211yescharacteristic
36#10622587C2211yescharacteristic
37#10622587C2211yescharacteristic
38#10622587C2211yescharacteristic
39#10622586C2211yescharacteristic
40C2×#66874C2211yescharacteristic
41C2×#66874C2211yescharacteristic
42C2×#66874C2211yescharacteristic
43C2×#66874C2211yescharacteristic
44C2×#66873C2211yescharacteristic
45C2×#66873C2211yescharacteristic
46#10622569—21no—
47#10622569—21no—
48#10622558—21no—
49#10622557—21no—
50#10622546—21no—
51C4×Dic11⋊C4—21no—
52#10622502—24no—
53#10622346C418yescomplemented
54#10622277—21no—
55D11×#95—21no—
56C11×#340C2211yescharacteristic
57C11×#340C2211yescharacteristic
58#10622188C2211yescharacteristic
59#10622188C2211yescharacteristic
60#10622167C2211yescharacteristic
61#10622167C2211yescharacteristic
62C23×C4×C11C2311yescharacteristic
63C22×C22⋊D11—21no—
64C2×#4339—22no—
65C2×#4339—22no—
66C2×#4339—22no—
67C2×#4339—41no—
68C2×#4339—41no—
69C2×#4339C2×C414yes—
70C22×D44C2311yescharacteristic
71C22×C4×D11—21no—
72C22×C4×D11—21no—
73C22×C4×D11—21no—
74C22×Dic22C2311yescharacteristic
75C22×Dic22C2311yescharacteristic
76C22×C8×C11C2311yescharacteristic
77C22×C8×C11C2311yescharacteristic
78C11×#117—22no—
79C11×#117—41no—
80C2×C11×C4⋊C4C2311yescharacteristic
81C2×C11×C4⋊C4C2311yescharacteristic
82C2×C11×C4⋊C4C2311yescharacteristic
83C2×C11×C4⋊C4C2311yescharacteristic
84C2×C11×C22⋊C4—21no—
85C2×C11×C22⋊C4—21no—
86C2×C42×C11—21no—
87C2×C22⋊Dic11—21no—
88C2×C22⋊Dic11D411yescharacteristic
89C2×C22⋊Dic11D411yescharacteristic
90C2×(C2×D11)⋊C4—21no—
91C2×(C2×D11)⋊C4—21no—
92C2×C4⋊Dic11C2311yescharacteristic
93#66977—22no—
94#66977C2×C414yescomplemented
95C2×Dic11⋊C4—21no—
96C2×Dic11⋊C4—21no—
97C2×Dic11⋊C4—21no—
98C2×C4×Dic11—21no—
99C2×C4×Dic11—21no—
100C2×C4×Dic11C2311yescharacteristic
101C2×C4×Dic11C2311yescharacteristic
102C22×C11⋊C8—22no—
103C22×C11⋊C8—22no—
104C22×C11⋊C8—41no—
105C22×C11⋊C8C2311yescharacteristic
106C22×C11⋊C8C2311yescharacteristic
107C2×Dic44—41no—
108C2×Dic44—41no—
109C2×Dic44C2×C414yescomplemented
110C2×#4314—22no—
111C2×#4314—22no—
112C2×#4314C2×C414yes—
113#66946—22no—
114#66946—22no—
115#66946—41no—
116#66946—41no—
117#66940—22no—
118#66940—41no—
119C11×#107—22no—
120C11×#106—41no—
121C11×C22⋊C8C2×C414yescomplemented
122C11×#95—21no—
123C11⋊#95—21no—
124C11⋊#95—21no—
125C11⋊#95—21no—
126C11⋊#95—21no—
127C11⋊#95—21no—
128C11⋊#95—21no—
129C11⋊#95—21no—
130C11⋊#95—21no—
131C11⋊#95D411yescharacteristic
132C11⋊#95D411yescharacteristic
133#66885C2×C414yes—
134#66880C2×C414yescomplemented
135#66879—22no—
136#66879—41no—
137#66874—22no—
138#66874—22no—
139#66874—22no—
140#66874—41no—
141#66873—22no—
142#66873D414yes—
143#22856—111nomaximal, Sylow
144C24×C11C2×D411yescharacteristic
145C23×D11—21no—
146C22×C4×C11—21no—
147C22×C4×C11—21no—
148C22×C4×C11—21no—
149C22×C4×C11—21no—
150C22×C4×C11—21no—
151C22×C4×C11—21no—
152C22×C4×C11—21no—
153C22×C4×C11—21no—
154C22×C4×C11C22×C412yes—
155C22×C4×C11C2×D411yescharacteristic
156C22×C4×C11#4112yes—
157C22×C4×C11C2411yescharacteristic
158C2×C22⋊D11—24no—
159C2×C22⋊D11—42no—
160C2×C22⋊D11—42no—
161C22×Dic11—21no—
162C22×Dic11—21no—
163C22×Dic11—21no—
164C22×Dic11C2×D411yescharacteristic
165C22×Dic11C2×D411yescharacteristic
166C22×Dic11C2×D411yescharacteristic
167C22×Dic11C2×D411yescharacteristic
168#4339—28no—
169#4339—44no—
170#4339—44no—
171#4339—44no—
172C2×D44—21no—
173C2×D44—21no—
174C2×D44—21no—
175C2×D44C22×C412yes—
176C2×D44C2×D412yes—
177C2×D44#4112yes—
178C2×C4×D11—24no—
179C2×C4×D11—42no—
180C2×C4×D11—42no—
181C2×C4×D11—42no—
182C2×C4×D11—42no—
183C2×C4×D11—42no—
184C2×C4×D11—42no—
185C2×C4×D11—81no—
186C2×C4×D11—81no—
187C2×Dic22—21no—
188C2×Dic22—21no—
189C2×Dic22—21no—
190C2×Dic22—21no—
191C2×Dic22—21no—
192C2×Dic22—21no—
193C2×Dic22—21no—
194C2×Dic22—21no—
195C2×Dic22—21no—
196C2×Dic22—21no—
197C2×Dic22C22×C412yes—
198C2×Dic22C22×C412yes—
199C2×C8×C11—21no—
200C2×C8×C11—21no—
201C2×C8×C11—21no—
202C2×C8×C11—21no—
203C2×C8×C11C22×C412yes—
204C2×C8×C11C22×C412yes—
205C11×C4⋊C4—21no—
206C11×C4⋊C4—21no—
207C11×C4⋊C4—21no—
208C11×C4⋊C4—21no—
209C11×C4⋊C4—21no—
210C11×C4⋊C4—21no—
211C11×C4⋊C4—21no—
212C11×C4⋊C4C2×D412yes—
213C11×C22⋊C4—42no—
214C11×C22⋊C4—81no—
215C42×C11—42no—
216C22⋊Dic11—24no—
217C22⋊Dic11—41no—
218C22⋊Dic11—41no—
219(C2×D11)⋊C4—42no—
220(C2×D11)⋊C4—42no—
221C4⋊Dic11—21no—
222C4⋊Dic11C22×C412yes—
223Dic11⋊C4—24no—
224Dic11⋊C4—42no—
225Dic11⋊C4—42no—
226C4×Dic11—21no—
227C4×Dic11—21no—
228C4×Dic11—21no—
229C4×Dic11—21no—
230C4×Dic11—42no—
231C4×Dic11—42no—
232C2×C11⋊C8—21no—
233C2×C11⋊C8—21no—
234C2×C11⋊C8—21no—
235C2×C11⋊C8—21no—
236C2×C11⋊C8—21no—
237C2×C11⋊C8—44no—
238C2×C11⋊C8C2×D412yes—
239Dic44—44no—
240#4314—28no—
241C2×#452—111no—
242C2×#440—111no—
243C2×#416—111no—
244#2362—111no—
245#2339—111no—
246#1971—111no—
247#1935—111no—
248#1928—111no—
249#1892—111no—
250#1878—111no—
251#1877—111no—
252#1864—111no—
253#1854D1111yescharacteristic, complemented
254#1762—111no—
255#1752—111no—
256C23×C11—21no—
257C23×C11—21no—
258C23×C11—21no—
259C23×C11—21no—
260C23×C11—21no—
261C23×C11—21no—
262C23×C11C4×D412yes—
263C23×C11C22×D411yescharacteristic
264C22×D11—22no—
265C22×D11—22no—
266C22×D11—22no—
267C22×D11—41no—
268C22×D11—41no—
269C22×D11—41no—
270C22×D11—41no—
271C2×C4×C11—21no—
272C2×C4×C11—21no—
273C2×C4×C11—22no—
274C2×C4×C11—22no—
275C2×C4×C11—22no—
276C2×C4×C11—22no—
277C2×C4×C11—22no—
278C2×C4×C11—41no—
279C2×C4×C11—41no—
280C2×C4×C11—41no—
281C2×C4×C11—41no—
282C2×C4×C11—41no—
283C2×C4×C11—41no—
284C2×C4×C11—41no—
285C2×C4×C11—41no—
286C2×C4×C11—41no—
287C2×C4×C11—41no—
288C2×C4×C11—41no—
289C2×C4×C11C4×D412yes—
290C2×C4×C11C23×C411yescharacteristic
291C2×C4×C11C22×D411yescharacteristic
292C2×C4×C11C2×#4111yescharacteristic
293C2×C4×C11C2×#4111yescharacteristic
294C2×C4×C11H(5,𝔽2)11yescharacteristic
295C2×C4×C11H(5,𝔽2)11yescharacteristic
296C22⋊D11—48no—
297C2×Dic11—22no—
298C2×Dic11—22no—
299C2×Dic11—22no—
300C2×Dic11—21no—
301C2×Dic11—21no—
302C2×Dic11—21no—
303C2×Dic11—21no—
304C2×Dic11—21no—
305C2×Dic11—21no—
306C2×Dic11—21no—
307C2×Dic11—21no—
308C2×Dic11—21no—
309C2×Dic11—21no—
310C2×Dic11—21no—
311C2×Dic11—21no—
312C2×Dic11—41no—
313C2×Dic11—41no—
314C2×Dic11—41no—
315C2×Dic11—41no—
316C2×Dic11—41no—
317C2×Dic11—41no—
318D44—22no—
319D44—22no—
320D44—22no—
321D44C4×D414yes—
322C4×D11—48no—
323C4×D11—84no—
324C4×D11—84no—
325Dic22—22no—
326Dic22—22no—
327Dic22—22no—
328Dic22—22no—
329Dic22—41no—
330Dic22—41no—
331Dic22—41no—
332Dic22—41no—
333C8×C11—22no—
334C8×C11—22no—
335C11⋊C8—22no—
336C11⋊C8—41no—
337C22×#41—111no—
338C22×Q16—111no—
339C22×SD16—111no—
340C23×C8—111no—
341C2×C22⋊Q8—111no—
342C2×C4×Q8—111no—
343C2×C4×D4—111no—
344C2×C4×D4—111no—
345C2×#117C2×D1111yescharacteristic
346#452—118no—
347#440—224no—
348C2×#107C2×D1111yescharacteristic
349C2×#106C2×D1111yescharacteristic
350#416—224no—
351C2×#103—111no—
352C2×#103—111no—
353C2×#103—111no—
354C2×#103—111no—
355C2×#103—111no—
356C2×#102—111no—
357C2×#102—111no—
358C2×#102—111no—
359C2×C22⋊C8C2×D1111yescharacteristic
360C2×#97—111no—
361C2×#97—111no—
362#391—111no—
363#391—111no—
364#391—111no—
365#389—111no—
366#388—221no—
367#388—221no—
368#387—221no—
369#386—221no—
370#386—221no—
371#381—221no—
372#380C2×D1111yescharacteristic
373C4×C4⋊C4—111no—
374C4×C4⋊C4—221no—
375C4×C22⋊C4—111no—
376C2×#95—221no—
377#340—111no—
378#340—111no—
379#340C2×D1111yescharacteristic
380#340C2×D1111yescharacteristic
381#336—111no—
382#336—111no—
383C22×C11—22no—
384C22×C11—22no—
385C22×C11—22no—
386C22×C11—41no—
387C22×C11—41no—
388C22×C11—41no—
389C22×C11—41no—
390C22×C11C2×C4×D411yescharacteristic
391C22×C11D4211yescharacteristic
392C22×C11#54611yescharacteristic
393C22×C11#57511yescharacteristic
394C22×C11#57511yescharacteristic
395C22×C11#57711yescharacteristic
396C22×C11#57811yescharacteristic
397C2×D11—24no—
398C2×D11—42no—
399C2×D11—42no—
400C2×D11—42no—
401C2×D11—42no—
402C2×D11—42no—
403C2×D11—42no—
404C4×C11—22no—
405C4×C11—42no—
406C4×C11—81no—
407C4×C11—81no—
408C4×C11—81no—
409C4×C11C2×C4×D411yescharacteristic
410C4×C11#51811yescharacteristic
411C4×C11#54611yescharacteristic
412C4×C11#55111yescharacteristic
413Dic11—42no—
414Dic11—42no—
415Dic11—42no—
416Dic11—41no—
417Dic11—41no—
418Dic11—41no—
419Dic11—41no—
420C2×#41—114no—
421C2×#41—222no—
422C2×#41—222no—
423C2×#41—222no—
424C2×#41—441no—
425C2×#41—441no—
426C22×Q8—111no—
427C22×Q8—111no—
428C22×D4—111no—
429C22×D4—221no—
430C23×C4—221no—
431C23×C4—221no—
432C23×C4—221no—
433C23×C4C22×D1111yescharacteristic
434C2×Q16—114no—
435C2×Q16—441no—
436C2×Q16—441no—
437C2×SD16—114no—
438C2×SD16—222no—
439C2×SD16—222no—
440C22×C8—111no—
441C22×C8—111no—
442C22×C8—222no—
443C22×C8—222no—
444C22×C8—441no—
445C22×C8C22×D1111yescharacteristic
446C22×C8C22×D1111yescharacteristic
447C22⋊Q8—114no—
448C22⋊Q8—222no—
449C4×Q8—222no—
450C4×Q8—441no—
451C4×D4—222no—
452C4×D4—222no—
453C4×D4—441no—
454C4×D4—441no—
455#117—22no—
456#117—41no—
457C2×C4⋊C4—111no—
458C2×C4⋊C4—221no—
459C2×C4⋊C4—221no—
460C2×C4⋊C4—221no—
461C2×C4⋊C4C22×D1111yescharacteristic
462C2×C4⋊C4C22×D1111yescharacteristic
463C2×C4⋊C4C22×D1111yescharacteristic
464C2×C4⋊C4C22×D1111yescharacteristic
465C2×C22⋊C4—21no—
466C2×C22⋊C4—21no—
467C2×C22⋊C4—111no—
468C2×C22⋊C4—111no—
469C2×C22⋊C4—221no—
470C2×C22⋊C4—221no—
471C2×C22⋊C4—221no—
472C2×C42—21no—
473C2×C42—111no—
474C2×C42—111no—
475C2×C42—221no—
476C2×C42—221no—
477#107—22no—
478#106—41no—
479#103—114no—
480#103—222no—
481#103—222no—
482#103—222no—
483#103—441no—
484#102—114no—
485#102—114no—
486#102—222no—
487C22⋊C8C4×D1114yescomplemented
488#97—222no—
489#97—441no—
490#95—21no—
491#95—111no—
492#95—111no—
493#95—221no—
494#95—221no—
495#95—221no—
496#95—221no—
497#95—221no—
498#95—221no—
499#95—221no—
500#95—221no—
501C2×C11—42no—
502C2×C11#235811yescharacteristic
503C2×C11#294311yescharacteristic
504C2×C11#294711yescharacteristic
505C2×C11#326711yescharacteristic
506C2×C11#326911yescharacteristic
507C2×C11#331111yescharacteristic
508C2×C11#331511yescharacteristic
509D11—44no—
510C24—221no—
511C24D4×D1111yescharacteristic
512#41—228no—
513#41—444no—
514#41—444no—
515#41—444no—
516C2×Q8—112no—
517C2×Q8—112no—
518C2×Q8—221no—
519C2×Q8—221no—
520C2×Q8—221no—
521C2×Q8—221no—
522C2×Q8—221no—
523C2×Q8—221no—
524C2×Q8—221no—
525C2×Q8—221no—
526C2×Q8—221no—
527C2×Q8—221no—
528C2×D4—112no—
529C2×D4—112no—
530C2×D4—112no—
531C2×D4—224no—
532C2×D4—221no—
533C2×D4—221no—
534C2×D4—221no—
535C2×D4—442no—
536C2×D4—442no—
537C22×C4—21no—
538C22×C4—21no—
539C22×C4—21no—
540C22×C4—21no—
541C22×C4—21no—
542C22×C4—21no—
543C22×C4—21no—
544C22×C4—21no—
545C22×C4—111no—
546C22×C4—111no—
547C22×C4—111no—
548C22×C4—111no—
549C22×C4—221no—
550C22×C4—221no—
551C22×C4—221no—
552C22×C4—224no—
553C22×C4—442no—
554C22×C4—442no—
555C22×C4—442no—
556C22×C4—442no—
557C22×C4—442no—
558C22×C4—442no—
559C22×C4—881no—
560C22×C4—881no—
561C22×C4C2×C4×D1112yes—
562C22×C4D4×D1111yescharacteristic
563C22×C4#434312yes—
564C22×C4C23×D1111yescharacteristic
565Q16—444no—
566SD16—228no—
567C2×C8—21no—
568C2×C8—21no—
569C2×C8—21no—
570C2×C8—21no—
571C2×C8—112no—
572C2×C8—221no—
573C2×C8—221no—
574C2×C8—221no—
575C2×C8—221no—
576C2×C8—221no—
577C2×C8—444no—
578C2×C8C2×C4×D1112yes—
579C2×C8C2×C4×D1112yes—
580C4⋊C4—21no—
581C4⋊C4—21no—
582C4⋊C4—21no—
583C4⋊C4—21no—
584C4⋊C4—21no—
585C4⋊C4—21no—
586C4⋊C4—21no—
587C4⋊C4—112no—
588C4⋊C4—224no—
589C4⋊C4—221no—
590C4⋊C4—442no—
591C4⋊C4—442no—
592C4⋊C4D4×D1112yes—
593C22⋊C4—42no—
594C22⋊C4—81no—
595C22⋊C4—224no—
596C22⋊C4—442no—
597C22⋊C4—442no—
598C22⋊C4—441no—
599C22⋊C4—441no—
600C42—42no—
601C42—221no—
602C42—221no—
603C42—221no—
604C42—221no—
605C42—442no—
606C42—442no—
607C11#2285611yescharacteristic, complemented, Sylow
608C23—21no—
609C23—21no—
610C23—21no—
611C23—21no—
612C23—21no—
613C23—21no—
614C23—222no—
615C23—222no—
616C23—222no—
617C23—441no—
618C23—441no—
619C23—441no—
620C23—441no—
621C23#6694612yes—
622C23C2×D4×D1111yescharacteristic
623Q8—222no—
624Q8—222no—
625Q8—222no—
626Q8—222no—
627Q8—441no—
628Q8—441no—
629Q8—441no—
630Q8—441no—
631D4—114no—
632D4—222no—
633D4—222no—
634D4—222no—
635D4—448no—
636C2×C4—21no—
637C2×C4—21no—
638C2×C4—22no—
639C2×C4—22no—
640C2×C4—22no—
641C2×C4—22no—
642C2×C4—22no—
643C2×C4—41no—
644C2×C4—41no—
645C2×C4—41no—
646C2×C4—41no—
647C2×C4—41no—
648C2×C4—41no—
649C2×C4—41no—
650C2×C4—41no—
651C2×C4—41no—
652C2×C4—41no—
653C2×C4—41no—
654C2×C4—222no—
655C2×C4—222no—
656C2×C4—222no—
657C2×C4—221no—
658C2×C4—221no—
659C2×C4—221no—
660C2×C4—221no—
661C2×C4—221no—
662C2×C4—221no—
663C2×C4—221no—
664C2×C4—221no—
665C2×C4—221no—
666C2×C4—221no—
667C2×C4—221no—
668C2×C4—221no—
669C2×C4—448no—
670C2×C4—441no—
671C2×C4—441no—
672C2×C4—441no—
673C2×C4—441no—
674C2×C4—441no—
675C2×C4—441no—
676C2×C4—884no—
677C2×C4—884no—
678C2×C4#6694612yes—
679C2×C4C22×C4×D1111yescharacteristic
680C2×C4C2×D4×D1111yescharacteristic
681C2×C4#6703711yescharacteristic
682C2×C4C2×#434311yescharacteristic
683C2×C4#41×D1111yescharacteristic
684C2×C4#6704211yescharacteristic
685C8—22no—
686C8—22no—
687C8—222no—
688C8—441no—
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—
703C22C2×#6694611yescharacteristic
704C22#1062312111yescharacteristic
705C22#1062318511yescharacteristic
706C22#1062329911yescharacteristic
707C22#1062329911yescharacteristic
708C22#1062330611yescharacteristic
709C22#1062331011yescharacteristic
710C4—22no—
711C4—42no—
712C4—81no—
713C4—81no—
714C4—81no—
715C4—441no—
716C4—441no—
717C4—441no—
718C4—441no—
719C4—442no—
720C4—442no—
721C4—442no—
722C4C4×D4×D1111yescharacteristic
723C4#1062307611yescharacteristic
724C4#1062316111yescharacteristic
725C4#1062316811yescharacteristic
726C2—42no—
727C2—444no—
728C2#1307159211yescharacteristic
729C2#1307741611yescharacteristic
730C2#1307745711yescharacteristic
731C2#1308013411yescharacteristic
732C2#1308016411yescharacteristic
733C2#1308065011yescharacteristic
734C2#1308071011yescharacteristic
subgroupG/H
centerC23C2×D4×D11
commutatorC2×C4×C11C23×C4
FrattiniC22×C4C23×D11
FittingC11×#1854C2
socleC23×C11C22×D4
prime radicalC22×#4339C22
cosocleC22×C4×C11C24
hypercenter#1854D11
hypocenterC11#22856
LCSG ▷ C2×C4×C11 ▷ C2×C11 ▷ C11
UCSC1 ◁ C23 ◁ C23×C4 ◁ #1854

Complements

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

NH ≅ G/Ntype
2. C2×#10622502C2semidirect
4. #13071643C2semidirect
6. #13069485C2semidirect
7. #13069304C2semidirect
8. #13069256C2semidirect
9. #13069037C2semidirect
10. #13068958C2semidirect
11. #13068951C2semidirect
12. #13068874C2semidirect
13. #13068440C2semidirect
14. #13068395C2semidirect
15. C11×#1854C2semidirect
53. #10622346C4semidirect
94. #66977C2×C4semidirect
109. C2×Dic44C2×C4semidirect
121. C11×C22⋊C8C2×C4semidirect
134. #66880C2×C4semidirect
253. #1854D11semidirect
487. C22⋊C8C4×D11semidirect
607. C11#22856semidirect

Maximal subgroups

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

subgroupindex
C2×#106223462
C2×#106225022
C2×#106226152
#130716432
#130714442
#130694852
#130693042
#130692562
#130690372
#130689582
#130689512
#130688742
#130684402
#130683952
C11×#18542
#2285611