Finite Group Databasebeta

← #14802130

Subgroups — #14802130

Order 2816.

968 conjugacy classes of subgroups.

The subgroup lattice has 724 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#10622647C211yesmaximal, characteristic, complemented
2C2×#10622651C211yesmaximal, characteristic
3#13073108C211yesmaximal, characteristic, complemented
4#13070097C211yesmaximal, characteristic, complemented
5#13070029C211yesmaximal, characteristic, complemented
6#13069987C211yesmaximal, characteristic, complemented
7#13069926C211yesmaximal, characteristic, complemented
8#13069384C211yesmaximal, characteristic, complemented
9#13069243C211yesmaximal, characteristic, complemented
10#13068964C211yesmaximal, characteristic, complemented
11#13068933C211yesmaximal, characteristic, complemented
12#13068796C211yesmaximal, characteristic, complemented
13#13068626C211yesmaximal, characteristic, complemented
14C2×#10622167C211yesmaximal, characteristic, complemented
15C11×#2361C211yesmaximal, characteristic, complemented
16C2×C11×#121C2211yescharacteristic
17C2×C4×D4×C11—21no—
18C2×C4×D4×C11C2211yescharacteristic
19C22×C11×C4⋊C4C2211yescharacteristic
20C22×#4323C2211yescharacteristic
21C2×#66983C2211yescharacteristic
22C22×C4⋊Dic11C2211yescharacteristic
23C23×C11⋊C8C2211yescharacteristic
24C11×#390C2211yescharacteristic
25C11×#389C2211yescharacteristic
26C11×#388—21no—
27C11×#386—21no—
28C11×#385—21no—
29C4×C11×C4⋊C4C2211yescharacteristic
30C4×C11×C22⋊C4C2211yescharacteristic
31C2×#66896C2211yescharacteristic
32C2×#66896C2211yescharacteristic
33C2×#66896C2211yescharacteristic
34C2×C22⋊(C11⋊C8)C2211yescharacteristic
35#10622651—24no—
36#10622647—24no—
37C2×#66873C2211yescharacteristic
38C2×#66873C2211yescharacteristic
39C2×#66873C2211yescharacteristic
40C2×#66872C2211yescharacteristic
41C2×#66872C2211yescharacteristic
42C2×#66871C2211yescharacteristic
43#10622571—21no—
44#10622571—21no—
45#10622552C2211yescharacteristic
46#10622552C2211yescharacteristic
47#10622549C2211yescharacteristic
48#10622549C2211yescharacteristic
49C2×C4⋊(C11⋊C8)C2211yescharacteristic
50C2×C4⋊(C11⋊C8)C2211yescharacteristic
51#10622287—21no—
52#10622287—21no—
53#10622167C2211yescharacteristic
54#10622167C2211yescharacteristic
55#10622167C2211yescharacteristic
56#10622167C2211yescharacteristic
57#10622167C2211yescharacteristic
58#10622167C2211yescharacteristic
59#10622162C2211yescharacteristic
60#10622162C2211yescharacteristic
61C22×D4×C11—21no—
62C22×D4×C11C2311yescharacteristic
63C23×C4×C11—21no—
64C23×C4×C11—21no—
65C23×C4×C11C2311yescharacteristic
66C22×C22⋊D11—21no—
67C23×Dic11—21no—
68C22×D44C2311yescharacteristic
69C11×#121—22no—
70C11×#121D414yes—
71C4×D4×C11—22no—
72C4×D4×C11—41no—
73C4×D4×C11—44no—
74C2×C11×C4⋊C4—22no—
75C2×C11×C4⋊C4—21no—
76C2×C11×C4⋊C4—21no—
77C2×C11×C4⋊C4—41no—
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×C11C2311yescharacteristic
89C2×C42×C11C2311yescharacteristic
90C2×#4323—22no—
91C2×#4323—22no—
92C2×#4323—41no—
93#66983—22no—
94#66983—22no—
95C2×(C2×D11)⋊C4—21no—
96C2×(C2×D11)⋊C4—21no—
97C2×(C2×D11)⋊C4—21no—
98C2×(C2×D11)⋊C4—21no—
99C2×(C2×D11)⋊C4—21no—
100C2×C4⋊Dic11—22no—
101C2×C4⋊Dic11—22no—
102C2×C4⋊Dic11—21no—
103C2×C4⋊Dic11C2311yescharacteristic
104C2×C4⋊Dic11C2311yescharacteristic
105C2×C4⋊Dic11C2311yescharacteristic
106C22×C11⋊C8—22no—
107C22×C11⋊C8—22no—
108C22×C11⋊C8—41no—
109C22×C11⋊C8C2311yescharacteristic
110C22×C11⋊C8C2311yescharacteristic
111C22×C11⋊C8C2311yescharacteristic
112C22×C11⋊C8C2311yescharacteristic
113C11×#95—21no—
114C11×#95—21no—
115C11×#95D411yescharacteristic
116C11×#95D411yescharacteristic
117#66896—22no—
118#66896—22no—
119#66896—22no—
120C11⋊#95—21no—
121C11⋊#95—21no—
122C11⋊#95—21no—
123C11⋊#95—21no—
124C22⋊(C11⋊C8)—22no—
125#66873—22no—
126#66873—22no—
127#66873—41no—
128#66872—22no—
129#66872—22no—
130#66871—22no—
131C4⋊(C11⋊C8)—22no—
132C4⋊(C11⋊C8)—41no—
133#25214—111nomaximal, Sylow
134C24×C11—21no—
135C24×C11C2×D411yescharacteristic
136C23×D11—21no—
137C2×D4×C11—24no—
138C2×D4×C11—21no—
139C2×D4×C11—21no—
140C2×D4×C11—21no—
141C2×D4×C11—21no—
142C2×D4×C11—21no—
143C2×D4×C11—42no—
144C2×D4×C11—42no—
145C2×D4×C11C2×D412yes—
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—42no—
154C22×C4×C11—42no—
155C22×C4×C11—42no—
156C22×C4×C11—42no—
157C22×C4×C11—81no—
158C22×C4×C11—81no—
159C22×C4×C11C2×D411yescharacteristic
160C22×C4×C11C2×D411yescharacteristic
161C22×C4×C11C2×D411yescharacteristic
162C22×C4×C11C2×D411yescharacteristic
163C22×C4×C11C2×D411yescharacteristic
164C22×C4×C11C2×D412yes—
165C22×C4×C11#4112yes—
166C22×C4×C11C2411yescharacteristic
167C2×C22⋊D11—42no—
168C2×C22⋊D11—42no—
169C2×C22⋊D11—42no—
170C22×Dic11—21no—
171C22×Dic11—21no—
172C22×Dic11—21no—
173C22×Dic11—42no—
174C22×Dic11—81no—
175C22×Dic11—81no—
176C2×D44—21no—
177C2×D44—21no—
178C2×D44—21no—
179C2×D44—21no—
180C2×D44—21no—
181C2×D44—21no—
182C11×C4⋊C4—21no—
183C11×C4⋊C4—21no—
184C11×C4⋊C4—21no—
185C11×C4⋊C4—21no—
186C11×C4⋊C4—42no—
187C11×C4⋊C4—42no—
188C11×C4⋊C4C2×D412yes—
189C11×C4⋊C4#4112yes—
190C11×C22⋊C4—22no—
191C11×C22⋊C4—22no—
192C11×C22⋊C4—24no—
193C11×C22⋊C4—42no—
194C11×C22⋊C4—42no—
195C11×C22⋊C4—81no—
196C42×C11—21no—
197C42×C11—21no—
198C42×C11—21no—
199C42×C11—21no—
200C42×C11—42no—
201#4323—44no—
202(C2×D11)⋊C4—42no—
203(C2×D11)⋊C4—81no—
204(C2×D11)⋊C4—81no—
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—
214C2×C11⋊C8—21no—
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⋊C8—44no—
226C2×C11⋊C8#4112yes—
227C2×#481—111no—
228C2×#466—111no—
229#2504—111no—
230#2361D1111yescharacteristic, complemented
231#2085—111no—
232#2073—111no—
233#2065—111no—
234#2054—111no—
235#1949—111no—
236#1926—111no—
237#1879—111no—
238#1874—111no—
239#1850—111no—
240#1804—111no—
241C2×#340—111no—
242C23×C11—21no—
243C23×C11—21no—
244C23×C11—21no—
245C23×C11—21no—
246C23×C11—22no—
247C23×C11—41no—
248C23×C11—41no—
249C23×C11—41no—
250C23×C11—41no—
251C23×C11—41no—
252C23×C11—41no—
253C23×C11#12112yes—
254C23×C11#13512yes—
255C23×C11AGL(1,ℤ/8)12yes—
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—22no—
265D4×C11—22no—
266D4×C11—48no—
267D4×C11—41no—
268D4×C11—41no—
269C2×C4×C11—21no—
270C2×C4×C11—21no—
271C2×C4×C11—22no—
272C2×C4×C11—22no—
273C2×C4×C11—22no—
274C2×C4×C11—22no—
275C2×C4×C11—22no—
276C2×C4×C11—21no—
277C2×C4×C11—21no—
278C2×C4×C11—22no—
279C2×C4×C11—21no—
280C2×C4×C11—21no—
281C2×C4×C11—21no—
282C2×C4×C11—21no—
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—41no—
290C2×C4×C11—41no—
291C2×C4×C11—41no—
292C2×C4×C11—41no—
293C2×C4×C11—41no—
294C2×C4×C11—41no—
295C2×C4×C11—41no—
296C2×C4×C11—84no—
297C2×C4×C11—84no—
298C2×C4×C11#12112yes—
299C2×C4×C11C22×D411yescharacteristic
300C2×C4×C11C2×#4111yescharacteristic
301C2×C4×C11C2×#4111yescharacteristic
302C2×C4×C11C2×#4111yescharacteristic
303C2×C4×C11H(5,𝔽2)11yescharacteristic
304C2×C4×C112−1+411yescharacteristic
305C22⋊D11—84no—
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—84no—
316D44—41no—
317D44—41no—
318D44—41no—
319D44—41no—
320C11⋊C8—22no—
321C11⋊C8—41no—
322C11⋊C8—41no—
323C11⋊C8—41no—
324C22×D8—111no—
325C23×C8—111no—
326C2×#121—111no—
327C2×#121C2×D1111yescharacteristic
328C2×C4×D4—21no—
329C2×C4×D4C2×D1111yescharacteristic
330C22×C4⋊C4—111no—
331C22×C4⋊C4C2×D1111yescharacteristic
332#481—224no—
333#466—224no—
334C2×#107—111no—
335C2×#106—111no—
336C2×#106—111no—
337C2×C4⋊C8—111no—
338C2×C4⋊C8—111no—
339C2×#102—111no—
340C2×#102—111no—
341C2×#102—111no—
342C2×#102—111no—
343C2×#102—111no—
344C2×#102—111no—
345C2×C22⋊C8—111no—
346#397—221no—
347#397—221no—
348#390—111no—
349#390—111no—
350#390C2×D1111yescharacteristic
351#389C2×D1111yescharacteristic
352#388—21no—
353#386—21no—
354#386—221no—
355#386—221no—
356#385—21no—
357#382—111no—
358#382—111no—
359C4×C4⋊C4C2×D1111yescharacteristic
360C4×C22⋊C4C2×D1111yescharacteristic
361#340—111no—
362#340—111no—
363#340—111no—
364#340—111no—
365#340—111no—
366#340—111no—
367#336—111no—
368#336—111no—
369C22×C11—22no—
370C22×C11—22no—
371C22×C11—22no—
372C22×C11—22no—
373C22×C11—22no—
374C22×C11—22no—
375C22×C11—42no—
376C22×C11—42no—
377C22×C11—42no—
378C22×C11—81no—
379C22×C11—81no—
380C22×C11—81no—
381C22×C11—81no—
382C22×C11#46314yes—
383C22×C11C2×#12111yescharacteristic
384C22×C11#54611yescharacteristic
385C22×C11#54711yescharacteristic
386C22×C11C2×#13511yescharacteristic
387C22×C11C2×AGL(1,ℤ/8)11yescharacteristic
388C22×C11#57611yescharacteristic
389C22×C11#57711yescharacteristic
390C2×D11—81no—
391C2×D11—81no—
392C2×D11—81no—
393C2×D11—81no—
394C2×D11—81no—
395C2×D11—81no—
396C2×D11—81no—
397C4×C11—22no—
398C4×C11—41no—
399C4×C11—41no—
400C4×C11—42no—
401C4×C11—41no—
402C4×C11—41no—
403C4×C11—42no—
404C4×C11—81no—
405C4×C11#52911yescharacteristic
406C4×C11#53911yescharacteristic
407C4×C11#54611yescharacteristic
408C4×C11#54711yescharacteristic
409Dic11—81no—
410Dic11—81no—
411Dic11—81no—
412C22×D4—21no—
413C22×D4—111no—
414C22×D4—221no—
415C22×D4C22×D1111yescharacteristic
416C23×C4—21no—
417C23×C4—21no—
418C23×C4—221no—
419C23×C4C22×D1111yescharacteristic
420C2×D8—222no—
421C2×D8—222no—
422C2×D8—441no—
423C22×C8—111no—
424C22×C8—111no—
425C22×C8—111no—
426C22×C8—111no—
427C22×C8—222no—
428C22×C8—222no—
429C22×C8—441no—
430#121—22no—
431#121—222no—
432#121—222no—
433#121D4414yes—
434C4×D4—22no—
435C4×D4—41no—
436C4×D4—44no—
437C2×C4⋊C4—22no—
438C2×C4⋊C4—21no—
439C2×C4⋊C4—21no—
440C2×C4⋊C4—41no—
441C2×C4⋊C4—111no—
442C2×C4⋊C4—111no—
443C2×C4⋊C4—111no—
444C2×C4⋊C4—222no—
445C2×C4⋊C4—222no—
446C2×C4⋊C4—221no—
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×C42C22×D1111yescharacteristic
463C2×C42C22×D1111yescharacteristic
464#107—222no—
465#106—222no—
466#106—222no—
467C4⋊C8—222no—
468C4⋊C8—441no—
469#102—222no—
470#102—222no—
471#102—222no—
472#102—222no—
473#102—222no—
474#102—441no—
475C22⋊C8—222no—
476#95—21no—
477#95—21no—
478#95—221no—
479#95—221no—
480#95—221no—
481#95—221no—
482#95C22⋊D1111yescharacteristic
483#95C22⋊D1111yescharacteristic
484C2×C11—24no—
485C2×C11—82no—
486C2×C11#242511yescharacteristic
487C2×C11C2×#46311yescharacteristic
488C2×C11#304511yescharacteristic
489C2×C11#330111yescharacteristic
490C2×C11#331811yescharacteristic
491C2×C11#333911yescharacteristic
492C2×C11#334511yescharacteristic
493D11—161no—
494C24—21no—
495C24—221no—
496C24C2×C22⋊D1111yescharacteristic
497C2×D4—24no—
498C2×D4—21no—
499C2×D4—21no—
500C2×D4—21no—
501C2×D4—21no—
502C2×D4—21no—
503C2×D4—42no—
504C2×D4—42no—
505C2×D4—221no—
506C2×D4—221no—
507C2×D4—221no—
508C2×D4—221no—
509C2×D4—221no—
510C2×D4—221no—
511C2×D4—442no—
512C2×D4—442no—
513C2×D4—442no—
514C2×D4C2×D4412yes—
515C22×C4—21no—
516C22×C4—21no—
517C22×C4—21no—
518C22×C4—21no—
519C22×C4—21no—
520C22×C4—21no—
521C22×C4—21no—
522C22×C4—42no—
523C22×C4—42no—
524C22×C4—42no—
525C22×C4—42no—
526C22×C4—81no—
527C22×C4—81no—
528C22×C4—221no—
529C22×C4—221no—
530C22×C4—221no—
531C22×C4—442no—
532C22×C4—881no—
533C22×C4—881no—
534C22×C4C2×D4412yes—
535C22×C4#433912yes—
536C22×C4C2×C22⋊D1111yescharacteristic
537C22×C4C2×C22⋊D1111yescharacteristic
538C22×C4C2×C22⋊D1111yescharacteristic
539C22×C4C2×C22⋊D1111yescharacteristic
540C22×C4C2×C22⋊D1111yescharacteristic
541C22×C4C23×D1111yescharacteristic
542D8—444no—
543C2×C8—112no—
544C2×C8—221no—
545C2×C8—221no—
546C2×C8—221no—
547C2×C8—221no—
548C2×C8—221no—
549C2×C8—221no—
550C2×C8—221no—
551C2×C8—221no—
552C2×C8—221no—
553C2×C8—221no—
554C2×C8—221no—
555C2×C8—444no—
556C4⋊C4—21no—
557C4⋊C4—21no—
558C4⋊C4—21no—
559C4⋊C4—21no—
560C4⋊C4—42no—
561C4⋊C4—42no—
562C4⋊C4—221no—
563C4⋊C4—221no—
564C4⋊C4—221no—
565C4⋊C4—221no—
566C4⋊C4—221no—
567C4⋊C4—221no—
568C4⋊C4—442no—
569C4⋊C4C2×D4412yes—
570C4⋊C4#434112yes—
571C22⋊C4—22no—
572C22⋊C4—22no—
573C22⋊C4—24no—
574C22⋊C4—42no—
575C22⋊C4—42no—
576C22⋊C4—81no—
577C22⋊C4—442no—
578C22⋊C4—881no—
579C22⋊C4—881no—
580C22⋊C4—881no—
581C22⋊C4—881no—
582C42—21no—
583C42—21no—
584C42—21no—
585C42—21no—
586C42—42no—
587C11#2521411yescharacteristic, complemented, Sylow
588C23—21no—
589C23—21no—
590C23—21no—
591C23—21no—
592C23—22no—
593C23—41no—
594C23—41no—
595C23—41no—
596C23—41no—
597C23—41no—
598C23—41no—
599C23—441no—
600C23—441no—
601C23—441no—
602C23—441no—
603C23—441no—
604C23—441no—
605C23—441no—
606C23#6698312yes—
607C23#6698512yes—
608C23#6700312yes—
609C23C22×C22⋊D1111yescharacteristic
610D4—22no—
611D4—22no—
612D4—48no—
613D4—41no—
614D4—41no—
615D4—441no—
616D4—441no—
617D4—441no—
618D4—441no—
619D4—884no—
620C2×C4—21no—
621C2×C4—21no—
622C2×C4—22no—
623C2×C4—22no—
624C2×C4—22no—
625C2×C4—22no—
626C2×C4—22no—
627C2×C4—21no—
628C2×C4—21no—
629C2×C4—21no—
630C2×C4—21no—
631C2×C4—22no—
632C2×C4—21no—
633C2×C4—21no—
634C2×C4—21no—
635C2×C4—21no—
636C2×C4—21no—
637C2×C4—21no—
638C2×C4—21no—
639C2×C4—21no—
640C2×C4—41no—
641C2×C4—41no—
642C2×C4—41no—
643C2×C4—41no—
644C2×C4—41no—
645C2×C4—41no—
646C2×C4—41no—
647C2×C4—84no—
648C2×C4—84no—
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—441no—
658C2×C4—884no—
659C2×C4#6698312yes—
660C2×C4C22×D4411yescharacteristic
661C2×C4C2×#433911yescharacteristic
662C2×C4C2×#434111yescharacteristic
663C2×C4#6703711yescharacteristic
664C2×C4#41×D1111yescharacteristic
665C2×C4#6704311yescharacteristic
666C8—222no—
667C8—441no—
668C8—441no—
669C8—441no—
670C22—22no—
671C22—22no—
672C22—22no—
673C22—22no—
674C22—22no—
675C22—22no—
676C22—42no—
677C22—42no—
678C22—42no—
679C22—81no—
680C22—81no—
681C22—81no—
682C22—81no—
683C22—881no—
684C22—881no—
685C22—881no—
686C22—881no—
687C22—881no—
688C22—881no—
689C22—881no—
690C22#1062262914yes—
691C22C2×#6698311yescharacteristic
692C22C2×#6698511yescharacteristic
693C22#1062333711yescharacteristic
694C22C2×#6700311yescharacteristic
695C22#1062335511yescharacteristic
696C22#1062336611yescharacteristic
697C22#1062336811yescharacteristic
698C4—22no—
699C4—42no—
700C4—41no—
701C4—41no—
702C4—42no—
703C4—41no—
704C4—41no—
705C4—81no—
706C4—881no—
707C4—881no—
708C4—881no—
709C4#1062306911yescharacteristic
710C4#1062308511yescharacteristic
711C4#1062308611yescharacteristic
712C4#1062309511yescharacteristic
713C2—24no—
714C2—82no—
715C2—1761no—
716C2#1307216111yescharacteristic
717C2C2×#1062262911yescharacteristic
718C2#1307815511yescharacteristic
719C2#1308051811yescharacteristic
720C2#1308075711yescharacteristic
721C2#1308101211yescharacteristic
722C2#1308108611yescharacteristic
subgroupG/H
centerC23C22×C22⋊D11
commutator, cosocleC22×C4×C11C24
FrattiniC22×C4C23×D11
FittingC11×#2361C2
socleC23×C11C22×D4
prime radicalC2×#10622651C2
hypercenter#2361D11
hypocenterC11#25214
LCSG ▷ C22×C4×C11 ▷ C2×C11 ▷ C11
UCSC1 ◁ C23 ◁ C4×C22⋊C4 ◁ #2361

Complements

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

NH ≅ G/Ntype
1. C2×#10622647C2semidirect
3. #13073108C2semidirect
4. #13070097C2semidirect
5. #13070029C2semidirect
6. #13069987C2semidirect
7. #13069926C2semidirect
8. #13069384C2semidirect
9. #13069243C2semidirect
10. #13068964C2semidirect
11. #13068933C2semidirect
12. #13068796C2semidirect
13. #13068626C2semidirect
14. C2×#10622167C2semidirect
15. C11×#2361C2semidirect
230. #2361D11semidirect
587. C11#25214semidirect

Maximal subgroups

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

subgroupindex
C2×#106226472
C2×#106226512
#130731082
#130700972
#130700292
#130699872
#130699262
#130693842
#130692432
#130689642
#130689332
#130687962
#130686262
C2×#106221672
C11×#23612
#2521411