Finite Group Databasebeta

← #14813729

Subgroups — #14813729

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×#10622616C211yesmaximal, characteristic, complemented
2C2×#10622608C211yesmaximal, characteristic, complemented
3#13072056C211yesmaximal, characteristic
4#13070145C211yesmaximal, characteristic, complemented
5#13070088C211yesmaximal, characteristic, complemented
6#13070047C211yesmaximal, characteristic, complemented
7#13069798C211yesmaximal, characteristic, complemented
8#13069243C211yesmaximal, characteristic, complemented
9#13069194C211yesmaximal, characteristic, complemented
10#13069052C211yesmaximal, characteristic, complemented
11#13068938C211yesmaximal, characteristic, complemented
12#13068914C211yesmaximal, characteristic, complemented
13#13068815C211yesmaximal, characteristic, complemented
14#13068803C211yesmaximal, characteristic, complemented
15C11×#2354C211yesmaximal, characteristic, complemented
16C2×C4×D4×C11C2211yescharacteristic
17C2×C11×#117C2211yescharacteristic
18C2×C11×#117C2211yescharacteristic
19C2×#66992—21no—
20C2×#66983C2211yescharacteristic
21C2×#66983C2211yescharacteristic
22C22×C4⋊Dic11C2211yescharacteristic
23C22×#4318C2211yescharacteristic
24C11×#390—21no—
25C11×#388—21no—
26C11×#388—21no—
27C11×#384C2211yescharacteristic
28C11×#380C2211yescharacteristic
29C11×#380C2211yescharacteristic
30C4×C11×C4⋊C4—21no—
31C4×C11×C4⋊C4C2211yescharacteristic
32#10622825C2211yescharacteristic
33C2×C22⋊(C11⋊C8)C2211yescharacteristic
34C2×C22⋊(C11⋊C8)C2211yescharacteristic
35C2×C22⋊(C11⋊C8)C2211yescharacteristic
36#10622616—24no—
37#10622608—24no—
38#10622607—21no—
39C2×#66873C2211yescharacteristic
40C2×#66873C2211yescharacteristic
41C2×#66873C2211yescharacteristic
42C2×#66873C2211yescharacteristic
43C2×#66872C2211yescharacteristic
44C2×#66872C2211yescharacteristic
45C2×#66871C2211yescharacteristic
46C2×#66871C2211yescharacteristic
47C2×#66871C2211yescharacteristic
48C2×#66871C2211yescharacteristic
49#10622574—21no—
50#10622571—21no—
51#10622552C2211yescharacteristic
52#10622541C2211yescharacteristic
53#10622167C2211yescharacteristic
54#10622167C2211yescharacteristic
55#10622167C2211yescharacteristic
56#10622167C2211yescharacteristic
57#10622167C2211yescharacteristic
58#10622167C2211yescharacteristic
59#10622162C2211yescharacteristic
60#10622162C2211yescharacteristic
61C22×D4×C11D411yescharacteristic
62C23×C4×C11C2311yescharacteristic
63C23×C4×C11C2311yescharacteristic
64C22×C22⋊D11—21no—
65C22×C22⋊D11—21no—
66C23×Dic11—21no—
67C22×D44C2311yescharacteristic
68C4×D4×C11—22no—
69C4×D4×C11—22no—
70C11×#117—22no—
71C11×#117—22no—
72C11×#117—41no—
73C11×#117—41no—
74C2×C11×C4⋊C4—21no—
75C2×C11×C4⋊C4—21no—
76C2×C11×C4⋊C4D411yescharacteristic
77C2×C11×C4⋊C4C2311yescharacteristic
78C2×C11×C4⋊C4C2311yescharacteristic
79C2×C11×C4⋊C4C2311yescharacteristic
80C2×C11×C4⋊C4C2311yescharacteristic
81C2×C11×C22⋊C4—21no—
82C2×C11×C22⋊C4—21no—
83C2×C11×C22⋊C4—21no—
84C2×C11×C22⋊C4—21no—
85C2×C11×C22⋊C4D411yescharacteristic
86C2×C11×C22⋊C4D411yescharacteristic
87C2×C42×C11—21no—
88C2×C42×C11—21no—
89C2×C42×C11—21no—
90C2×C42×C11C2311yescharacteristic
91C2×C22⋊Dic11—21no—
92#66992—44no—
93#66983—22no—
94#66983—22no—
95#66983—22no—
96#66983—41no—
97C2×(C2×D11)⋊C4—21no—
98C2×(C2×D11)⋊C4—21no—
99C2×(C2×D11)⋊C4—21no—
100C2×(C2×D11)⋊C4—21no—
101C2×C4⋊Dic11—22no—
102C2×C4⋊Dic11—21no—
103C2×C4⋊Dic11—41no—
104C2×C4⋊Dic11C2311yescharacteristic
105C2×C4⋊Dic11C2311yescharacteristic
106C2×C4⋊Dic11C2311yescharacteristic
107C2×Dic11⋊C4—21no—
108C2×#4318—22no—
109C2×#4318—22no—
110C2×#4318—22no—
111C22×C11⋊C8C2311yescharacteristic
112C22×C11⋊C8C2311yescharacteristic
113C22×C11⋊C8C2311yescharacteristic
114C22×C11⋊C8C2311yescharacteristic
115C11×#95—21no—
116C11×#95—21no—
117C11×#95—21no—
118C11⋊#95—21no—
119C11⋊#95—21no—
120C22⋊(C11⋊C8)—22no—
121C22⋊(C11⋊C8)—22no—
122C22⋊(C11⋊C8)—22no—
123#66873—22no—
124#66873—22no—
125#66873—22no—
126#66873—41no—
127#66872—22no—
128#66872D414yescomplemented
129#66871—22no—
130#66871—22no—
131#66871—22no—
132#66871—41no—
133#26157—111nomaximal, Sylow
134C24×C11C2×D411yescharacteristic
135C24×C11C2×D411yescharacteristic
136C23×D11—21no—
137C2×D4×C11—22no—
138C2×D4×C11—22no—
139C2×D4×C11—41no—
140C22×C4×C11—21no—
141C22×C4×C11—21no—
142C22×C4×C11—21no—
143C22×C4×C11—21no—
144C22×C4×C11—21no—
145C22×C4×C11—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×C11C2×D411yescharacteristic
155C22×C4×C11C2×D411yescharacteristic
156C22×C4×C11C2×D411yescharacteristic
157C22×C4×C11C2×D411yescharacteristic
158C22×C4×C11#4112yes—
159C22×C4×C11#4112yes—
160C22×C4×C11C2411yescharacteristic
161C2×C22⋊D11—42no—
162C2×C22⋊D11—42no—
163C2×C22⋊D11—42no—
164C2×C22⋊D11—42no—
165C2×C22⋊D11—42no—
166C2×C22⋊D11—81no—
167C22×Dic11—21no—
168C22×Dic11—21no—
169C22×Dic11—21no—
170C22×Dic11—42no—
171C22×Dic11—42no—
172C22×Dic11—81no—
173C2×D44—21no—
174C2×D44—21no—
175C2×D44—21no—
176C2×D44—21no—
177C2×D44—21no—
178C2×D44—21no—
179C11×C4⋊C4—22no—
180C11×C4⋊C4—21no—
181C11×C4⋊C4—21no—
182C11×C4⋊C4—21no—
183C11×C4⋊C4—21no—
184C11×C4⋊C4—21no—
185C11×C4⋊C4—21no—
186C11×C4⋊C4—21no—
187C11×C4⋊C4—42no—
188C11×C4⋊C4—81no—
189C11×C4⋊C4C2×D412yes—
190C11×C22⋊C4—22no—
191C11×C22⋊C4—22no—
192C11×C22⋊C4—42no—
193C11×C22⋊C4—42no—
194C11×C22⋊C4—81no—
195C11×C22⋊C4—81no—
196C42×C11—21no—
197C42×C11—21no—
198C42×C11—42no—
199C42×C11—42no—
200C42×C11—42no—
201C22⋊Dic11—42no—
202(C2×D11)⋊C4—42no—
203(C2×D11)⋊C4—42no—
204(C2×D11)⋊C4—42no—
205(C2×D11)⋊C4—81no—
206C4⋊Dic11—21no—
207C4⋊Dic11—21no—
208C4⋊Dic11—21no—
209C4⋊Dic11—21no—
210C4⋊Dic11—21no—
211C4⋊Dic11—42no—
212C4⋊Dic11C2×D412yes—
213Dic11⋊C4—42no—
214#4318—28no—
215C2×C11⋊C8—21no—
216C2×C11⋊C8—21no—
217C2×C11⋊C8—21no—
218C2×C11⋊C8—21no—
219C2×C11⋊C8—21no—
220C2×C11⋊C8—21no—
221C2×C11⋊C8—21no—
222C2×C11⋊C8—21no—
223C2×C11⋊C8—21no—
224C2×C11⋊C8—21no—
225C2×C11⋊C8C2×D412yes—
226C2×C11⋊C8#4112yes—
227C2×#482—111no—
228C2×#428—111no—
229#2416—111no—
230#2354D1111yescharacteristic, complemented
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—21no—
249C23×C11—21no—
250C23×C11—21no—
251C23×C11—21no—
252C23×C11—21no—
253C23×C11—21no—
254C23×C11—21no—
255C23×C11#12312yes—
256C23×C11C22×D411yescharacteristic
257C22×D11—41no—
258C22×D11—41no—
259C22×D11—41no—
260C22×D11—41no—
261C22×D11—41no—
262C22×D11—41no—
263C22×D11—41no—
264D4×C11—44no—
265C2×C4×C11—21no—
266C2×C4×C11—21no—
267C2×C4×C11—21no—
268C2×C4×C11—21no—
269C2×C4×C11—22no—
270C2×C4×C11—22no—
271C2×C4×C11—22no—
272C2×C4×C11—22no—
273C2×C4×C11—21no—
274C2×C4×C11—21no—
275C2×C4×C11—21no—
276C2×C4×C11—22no—
277C2×C4×C11—21no—
278C2×C4×C11—21no—
279C2×C4×C11—21no—
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×C11—41no—
290C2×C4×C11—41no—
291C2×C4×C11—41no—
292C2×C4×C11—41no—
293C2×C4×C11—41no—
294C2×C4×C11—41no—
295C2×C4×C11#12312yes—
296C2×C4×C11AGL(1,ℤ/8)12yes—
297C2×C4×C11C22×D411yescharacteristic
298C2×C4×C11C2×#4111yescharacteristic
299C2×C4×C11C2×#4111yescharacteristic
300C2×C4×C11C2×#4111yescharacteristic
301C2×C4×C11H(5,𝔽2)11yescharacteristic
302C2×C4×C112−1+411yescharacteristic
303C22⋊D11—84no—
304C22⋊D11—84no—
305C2×Dic11—22no—
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—84no—
315D44—41no—
316D44—41no—
317D44—41no—
318D44—41no—
319C11⋊C8—22no—
320C11⋊C8—22no—
321C11⋊C8—41no—
322C11⋊C8—41no—
323C22×M16—111no—
324C2×#121—111no—
325C2×#121—111no—
326C2×#121—221no—
327C2×C4×D4C2×D1111yescharacteristic
328C2×#117C2×D1111yescharacteristic
329C2×#117C2×D1111yescharacteristic
330C22×C4⋊C4—111no—
331#482—224no—
332#428—224no—
333C2×#107—111no—
334C2×#107—111no—
335C2×#107—111no—
336C2×#107—111no—
337C2×#106—111no—
338C2×#106—111no—
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—21no—
349#390—111no—
350#389—111no—
351#388—21no—
352#388—21no—
353#386—221no—
354#384C2×D1111yescharacteristic
355#380—111no—
356#380C2×D1111yescharacteristic
357#380C2×D1111yescharacteristic
358C4×C4⋊C4—21no—
359C4×C4⋊C4C2×D1111yescharacteristic
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×C11—41no—
376C22×C11—41no—
377C22×C11—41no—
378C22×C11—41no—
379C22×C11—41no—
380C22×C11—41no—
381C22×C11—41no—
382C22×C11C2×#12311yescharacteristic
383C22×C11D4211yescharacteristic
384C22×C11#54711yescharacteristic
385C22×C11C2×AGL(1,ℤ/8)11yescharacteristic
386C22×C11#57511yescharacteristic
387C22×C11#57611yescharacteristic
388C22×C11#57811yescharacteristic
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—22no—
398C4×C11—41no—
399C4×C11—41no—
400C4×C11—42no—
401C4×C11—81no—
402C4×C11—81no—
403C4×C11—81no—
404C4×C11#52511yescharacteristic
405C4×C11#53911yescharacteristic
406C4×C11#54811yescharacteristic
407C4×C11#55311yescharacteristic
408Dic11—42no—
409Dic11—81no—
410Dic11—81no—
411C22×D4—111no—
412C22×D4—221no—
413C22×D4—221no—
414C22×D4C22⋊D1111yescharacteristic
415C23×C4—221no—
416C23×C4C22×D1111yescharacteristic
417C23×C4C22×D1111yescharacteristic
418C2×M16—222no—
419C2×M16—222no—
420C2×M16—222no—
421C22×C8—111no—
422C22×C8—111no—
423C22×C8—111no—
424C22×C8—111no—
425#121—222no—
426#121—222no—
427#121—222no—
428#121—441no—
429#121—444no—
430C4×D4—22no—
431C4×D4—22no—
432#117—22no—
433#117—22no—
434#117—41no—
435#117—41no—
436C2×C4⋊C4—21no—
437C2×C4⋊C4—21no—
438C2×C4⋊C4—111no—
439C2×C4⋊C4—111no—
440C2×C4⋊C4—111no—
441C2×C4⋊C4—222no—
442C2×C4⋊C4—221no—
443C2×C4⋊C4—221no—
444C2×C4⋊C4—441no—
445C2×C4⋊C4C22⋊D1111yescharacteristic
446C2×C4⋊C4C22×D1111yescharacteristic
447C2×C4⋊C4C22×D1111yescharacteristic
448C2×C4⋊C4C22×D1111yescharacteristic
449C2×C4⋊C4C22×D1111yescharacteristic
450C2×C22⋊C4—21no—
451C2×C22⋊C4—21no—
452C2×C22⋊C4—21no—
453C2×C22⋊C4—21no—
454C2×C22⋊C4—221no—
455C2×C22⋊C4—221no—
456C2×C22⋊C4—221no—
457C2×C22⋊C4—221no—
458C2×C22⋊C4—221no—
459C2×C22⋊C4C22⋊D1111yescharacteristic
460C2×C22⋊C4C22⋊D1111yescharacteristic
461C2×C42—21no—
462C2×C42—21no—
463C2×C42—21no—
464C2×C42C22×D1111yescharacteristic
465#107—222no—
466#107—222no—
467#107—222no—
468#107—441no—
469#106—114no—
470#106—222no—
471#102—222no—
472#102—222no—
473#102—222no—
474#102—441no—
475C22⋊C8—222no—
476C22⋊C8—222no—
477C22⋊C8—222no—
478#95—21no—
479#95—21no—
480#95—21no—
481#95—221no—
482#95—221no—
483C2×C11—42no—
484C2×C11—81no—
485C2×C11#244311yescharacteristic
486C2×C11#309411yescharacteristic
487C2×C11#309811yescharacteristic
488C2×C11#326911yescharacteristic
489C2×C11#327411yescharacteristic
490C2×C11#334711yescharacteristic
491C2×C11#335311yescharacteristic
492D11—161no—
493C24—221no—
494C24C2×C22⋊D1111yescharacteristic
495C24C2×C22⋊D1111yescharacteristic
496C2×D4—22no—
497C2×D4—22no—
498C2×D4—41no—
499C2×D4—221no—
500C2×D4—221no—
501C2×D4—221no—
502C2×D4—221no—
503C2×D4—221no—
504C2×D4—221no—
505C2×D4—442no—
506C2×D4—442no—
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—21no—
520C22×C4—21no—
521C22×C4—21no—
522C22×C4—21no—
523C22×C4—21no—
524C22×C4—21no—
525C22×C4—221no—
526C22×C4—221no—
527C22×C4—221no—
528C22×C4—442no—
529C22×C4—442no—
530C22×C4—881no—
531C22×C4#433912yes—
532C22×C4#433912yes—
533C22×C4C2×C22⋊D1111yescharacteristic
534C22×C4C2×C22⋊D1111yescharacteristic
535C22×C4C2×C22⋊D1111yescharacteristic
536C22×C4C2×C22⋊D1111yescharacteristic
537C22×C4C23×D1111yescharacteristic
538M16—228no—
539C2×C8—112no—
540C2×C8—112no—
541C2×C8—221no—
542C2×C8—221no—
543C2×C8—221no—
544C2×C8—221no—
545C2×C8—221no—
546C2×C8—221no—
547C2×C8—221no—
548C2×C8—221no—
549C2×C8—221no—
550C2×C8—221no—
551C4⋊C4—22no—
552C4⋊C4—21no—
553C4⋊C4—21no—
554C4⋊C4—21no—
555C4⋊C4—21no—
556C4⋊C4—21no—
557C4⋊C4—21no—
558C4⋊C4—21no—
559C4⋊C4—42no—
560C4⋊C4—81no—
561C4⋊C4—112no—
562C4⋊C4—221no—
563C4⋊C4—221no—
564C4⋊C4—221no—
565C4⋊C4—221no—
566C4⋊C4—221no—
567C4⋊C4—442no—
568C4⋊C4—442no—
569C4⋊C4D4×D1112yes—
570C22⋊C4—22no—
571C22⋊C4—22no—
572C22⋊C4—42no—
573C22⋊C4—42no—
574C22⋊C4—81no—
575C22⋊C4—81no—
576C22⋊C4—442no—
577C22⋊C4—442no—
578C22⋊C4—442no—
579C22⋊C4—442no—
580C22⋊C4—881no—
581C42—21no—
582C42—21no—
583C42—42no—
584C42—42no—
585C42—42no—
586C11#2615711yescharacteristic, complemented, Sylow
587C23—21no—
588C23—21no—
589C23—21no—
590C23—21no—
591C23—21no—
592C23—21no—
593C23—21no—
594C23—21no—
595C23—21no—
596C23—21no—
597C23—21no—
598C23—21no—
599C23—21no—
600C23—441no—
601C23—441no—
602C23—441no—
603C23—441no—
604C23—441no—
605C23—441no—
606C23—441no—
607C23#6698212yes—
608C23C22×C22⋊D1111yescharacteristic
609D4—44no—
610D4—441no—
611D4—441no—
612D4—441no—
613D4—441no—
614D4—884no—
615D4—884no—
616C2×C4—21no—
617C2×C4—21no—
618C2×C4—21no—
619C2×C4—21no—
620C2×C4—22no—
621C2×C4—22no—
622C2×C4—22no—
623C2×C4—22no—
624C2×C4—21no—
625C2×C4—21no—
626C2×C4—22no—
627C2×C4—21no—
628C2×C4—21no—
629C2×C4—21no—
630C2×C4—21no—
631C2×C4—41no—
632C2×C4—41no—
633C2×C4—41no—
634C2×C4—41no—
635C2×C4—41no—
636C2×C4—41no—
637C2×C4—41no—
638C2×C4—41no—
639C2×C4—41no—
640C2×C4—41no—
641C2×C4—41no—
642C2×C4—41no—
643C2×C4—41no—
644C2×C4—41no—
645C2×C4—41no—
646C2×C4—222no—
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—884no—
656C2×C4#6698212yes—
657C2×C4#6700212yes—
658C2×C4C2×#433911yescharacteristic
659C2×C4C2×#433911yescharacteristic
660C2×C4C2×D4×D1111yescharacteristic
661C2×C4#6703711yescharacteristic
662C2×C4#41×D1111yescharacteristic
663C2×C4#6704311yescharacteristic
664C8—222no—
665C8—222no—
666C8—441no—
667C8—441no—
668C22—22no—
669C22—22no—
670C22—22no—
671C22—41no—
672C22—41no—
673C22—41no—
674C22—41no—
675C22—41no—
676C22—41no—
677C22—41no—
678C22—41no—
679C22—41no—
680C22—41no—
681C22—41no—
682C22—881no—
683C22—881no—
684C22—881no—
685C22—881no—
686C22—881no—
687C22—881no—
688C22—881no—
689C22C2×#6698211yescharacteristic
690C22D4×C22⋊D1111yescharacteristic
691C22C2×#6700211yescharacteristic
692C22#1062335311yescharacteristic
693C22#1062335511yescharacteristic
694C22#1062336611yescharacteristic
695C22#1062336911yescharacteristic
696C4—22no—
697C4—22no—
698C4—41no—
699C4—42no—
700C4—41no—
701C4—81no—
702C4—81no—
703C4—81no—
704C4—442no—
705C4—881no—
706C4—881no—
707C4#1062307111yescharacteristic
708C4#1062307811yescharacteristic
709C4#1062308311yescharacteristic
710C4#1062309511yescharacteristic
711C2—42no—
712C2—81no—
713C2—1761no—
714C2#1307234511yescharacteristic
715C2#1307855611yescharacteristic
716C2#1307859411yescharacteristic
717C2#1308016711yescharacteristic
718C2#1308023611yescharacteristic
719C2#1308111611yescharacteristic
720C2#1308119411yescharacteristic
subgroupG/H
centerC23C22×C22⋊D11
commutator, cosocleC22×C4×C11C24
FrattiniC22×C4C23×D11
FittingC11×#2354C2
socleC23×C11C22×D4
prime radical#13072056C2
hypercenter#2354D11
hypocenterC11#26157
LCSG ▷ C22×C4×C11 ▷ C2×C11 ▷ C11
UCSC1 ◁ C23 ◁ C2×C4×D4 ◁ #2354

Complements

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

NH ≅ G/Ntype
1. C2×#10622616C2semidirect
2. C2×#10622608C2semidirect
4. #13070145C2semidirect
5. #13070088C2semidirect
6. #13070047C2semidirect
7. #13069798C2semidirect
8. #13069243C2semidirect
9. #13069194C2semidirect
10. #13069052C2semidirect
11. #13068938C2semidirect
12. #13068914C2semidirect
13. #13068815C2semidirect
14. #13068803C2semidirect
15. C11×#2354C2semidirect
128. #66872D4semidirect
230. #2354D11semidirect
586. C11#26157semidirect

Maximal subgroups

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

subgroupindex
C2×#106226162
C2×#106226082
#130720562
#130701452
#130700882
#130700472
#130697982
#130692432
#130691942
#130690522
#130689382
#130689142
#130688152
#130688032
C11×#23542
#2615711