Finite Group Databasebeta

← #14813521

Subgroups — #14813521

Order 2816.

938 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×#10622577C211yesmaximal, characteristic, complemented
3#13071545C211yesmaximal, characteristic, complemented
4#13070137C211yesmaximal, characteristic, complemented
5#13070097C211yesmaximal, characteristic, complemented
6#13070042C211yesmaximal, characteristic, complemented
7#13069795C211yesmaximal, characteristic, complemented
8#13069240C211yesmaximal, characteristic, complemented
9#13069198C211yesmaximal, characteristic, complemented
10#13069055C211yesmaximal, characteristic, complemented
11#13068939C211yesmaximal, characteristic, complemented
12#13068914C211yesmaximal, characteristic, complemented
13#13068809C211yesmaximal, characteristic, complemented
14#13068808C211yesmaximal, characteristic, complemented
15C11×#2416C211yesmaximal, characteristic
16C2×C11×#121—21no—
17C2×C11×#121C2211yescharacteristic
18C2×C11×#121C2211yescharacteristic
19C2×C4×D4×C11C2211yescharacteristic
20C22×C11×C4⋊C4C2211yescharacteristic
21C2×#66979C2211yescharacteristic
22C22×C4⋊Dic11C2211yescharacteristic
23C22×#4318C2211yescharacteristic
24C11×#396—21no—
25C11×#394—21no—
26C11×#390C2211yescharacteristic
27C11×#389C2211yescharacteristic
28C11×#386—21no—
29C11×#380C2211yescharacteristic
30#10622833—21no—
31C2×#66896C2211yescharacteristic
32C2×#66896C2211yescharacteristic
33C2×#66896C2211yescharacteristic
34C2×#66896C2211yescharacteristic
35#10622825C2211yescharacteristic
36#10622825C2211yescharacteristic
37C2×C22⋊(C11⋊C8)C2211yescharacteristic
38C2×C22⋊(C11⋊C8)C2211yescharacteristic
39C2×C22⋊(C11⋊C8)C2211yescharacteristic
40#10622647—24no—
41#10622594—21no—
42#10622577—24no—
43C2×#66872C2211yescharacteristic
44C2×#66872C2211yescharacteristic
45C2×#66872C2211yescharacteristic
46C2×#66872C2211yescharacteristic
47C2×#66871C2211yescharacteristic
48C2×#66871C2211yescharacteristic
49#10622564—21no—
50C22⋊C4×Dic11—21no—
51#10622549C2211yescharacteristic
52C4×C4⋊Dic11C2211yescharacteristic
53#10622167C2211yescharacteristic
54#10622167C2211yescharacteristic
55#10622167C2211yescharacteristic
56#10622167C2211yescharacteristic
57#10622167C2211yescharacteristic
58#10622167C2211yescharacteristic
59#10622162C2211yescharacteristic
60#10622162C2211yescharacteristic
61C22×D4×C11—21no—
62C22×D4×C11—21no—
63C22×D4×C11D411yescharacteristic
64C22×D4×C11C2311yescharacteristic
65C23×C4×C11—21no—
66C23×C4×C11C2311yescharacteristic
67C23×C4×C11C2311yescharacteristic
68C23×Dic11—21no—
69C11×#121—22no—
70C11×#121—22no—
71C11×#121—22no—
72C11×#121—41no—
73C11×#121—44no—
74C4×D4×C11—22no—
75C4×D4×C11—22no—
76C2×C11×C4⋊C4—22no—
77C2×C11×C4⋊C4—21no—
78C2×C11×C4⋊C4—21no—
79C2×C11×C4⋊C4—41no—
80C2×C11×C4⋊C4D411yescharacteristic
81C2×C11×C4⋊C4C2311yescharacteristic
82C2×C11×C4⋊C4C2311yescharacteristic
83C2×C11×C4⋊C4C2311yescharacteristic
84C2×C11×C22⋊C4—21no—
85C2×C11×C22⋊C4—21no—
86C2×C11×C22⋊C4—21no—
87C2×C11×C22⋊C4—21no—
88C2×C11×C22⋊C4—21no—
89C2×C11×C22⋊C4D411yescharacteristic
90C2×C11×C22⋊C4D411yescharacteristic
91C2×C42×C11C2311yescharacteristic
92C2×C22⋊Dic11—21no—
93C2×C22⋊Dic11—21no—
94C2×C22⋊Dic11—21no—
95#66979—22no—
96#66979—41no—
97C2×C4⋊Dic11—22no—
98C2×C4⋊Dic11—21no—
99C2×C4⋊Dic11—41no—
100C2×C4⋊Dic11C2311yescharacteristic
101C2×C4⋊Dic11C2311yescharacteristic
102C2×C4⋊Dic11C2311yescharacteristic
103C2×C4⋊Dic11C2311yescharacteristic
104C2×C4×Dic11—21no—
105C2×C4×Dic11—21no—
106C2×#4318—22no—
107C2×#4318—22no—
108C2×#4318—22no—
109C22×C11⋊C8C2311yescharacteristic
110C22×C11⋊C8C2311yescharacteristic
111C22×C11⋊C8C2311yescharacteristic
112C22×C11⋊C8C2311yescharacteristic
113C11×#95—21no—
114C11×#95—21no—
115#66896—22no—
116#66896—22no—
117#66896—22no—
118#66896—41no—
119C11⋊#95—21no—
120C11⋊#95—21no—
121C11⋊#95—21no—
122C11⋊#95—21no—
123C11⋊#95—21no—
124C22⋊(C11⋊C8)—22no—
125C22⋊(C11⋊C8)—22no—
126C22⋊(C11⋊C8)—22no—
127#66872—22no—
128#66872—22no—
129#66872—41no—
130#66872D414yescomplemented
131#66871—22no—
132#66871—22no—
133#26143—111nomaximal, Sylow
134C24×C11—21no—
135C24×C11C2×D411yescharacteristic
136C24×C11C2×D411yescharacteristic
137C2×D4×C11—22no—
138C2×D4×C11—22no—
139C2×D4×C11—21no—
140C2×D4×C11—21no—
141C2×D4×C11—21no—
142C2×D4×C11—21no—
143C2×D4×C11—21no—
144C2×D4×C11—21no—
145C2×D4×C11—41no—
146C2×D4×C11—42no—
147C2×D4×C11—42no—
148C2×D4×C11—42no—
149C2×D4×C11—42no—
150C2×D4×C11—42no—
151C2×D4×C11—81no—
152C22×C4×C11—21no—
153C22×C4×C11—21no—
154C22×C4×C11—21no—
155C22×C4×C11—21no—
156C22×C4×C11—21no—
157C22×C4×C11—21no—
158C22×C4×C11—21no—
159C22×C4×C11—21no—
160C22×C4×C11—21no—
161C22×C4×C11—21no—
162C22×C4×C11—21no—
163C22×C4×C11—21no—
164C22×C4×C11—21no—
165C22×C4×C11—42no—
166C22×C4×C11—42no—
167C22×C4×C11—81no—
168C22×C4×C11C2×D411yescharacteristic
169C22×C4×C11C2×D411yescharacteristic
170C22×C4×C11C2×D411yescharacteristic
171C22×C4×C11C2×D411yescharacteristic
172C22×C4×C11#4112yes—
173C22×C4×C11#4112yes—
174C22×C4×C11C2411yescharacteristic
175C22×Dic11—21no—
176C22×Dic11—21no—
177C22×Dic11—21no—
178C22×Dic11—21no—
179C22×Dic11—42no—
180C22×Dic11—42no—
181C22×Dic11—81no—
182C11×C4⋊C4—22no—
183C11×C4⋊C4—21no—
184C11×C4⋊C4—21no—
185C11×C4⋊C4—21no—
186C11×C4⋊C4—21no—
187C11×C4⋊C4—21no—
188C11×C4⋊C4—42no—
189C11×C4⋊C4—42no—
190C11×C4⋊C4C2×D412yes—
191C11×C22⋊C4—22no—
192C11×C22⋊C4—22no—
193C11×C22⋊C4—42no—
194C11×C22⋊C4—42no—
195C11×C22⋊C4—42no—
196C11×C22⋊C4—42no—
197C11×C22⋊C4—81no—
198C42×C11—21no—
199C42×C11—21no—
200C22⋊Dic11—42no—
201C22⋊Dic11—42no—
202C22⋊Dic11—81no—
203C4⋊Dic11—21no—
204C4⋊Dic11—21no—
205C4⋊Dic11—21no—
206C4⋊Dic11—21no—
207C4⋊Dic11—21no—
208C4⋊Dic11—21no—
209C4⋊Dic11—21no—
210C4⋊Dic11—42no—
211C4⋊Dic11C2×D412yes—
212C4×Dic11—42no—
213C4×Dic11—81no—
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×#481—111no—
228C2×#428—111no—
229#2416D1111yescharacteristic
230#2352—111no—
231#2092—111no—
232#2085—111no—
233#2075—111no—
234#2033—111no—
235#1926—111no—
236#1920—111no—
237#1895—111no—
238#1875—111no—
239#1870—111no—
240#1853—111no—
241#1853—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—41no—
255C23×C11—41no—
256C23×C11—41no—
257C23×C11—41no—
258C23×C11—41no—
259C23×C11—41no—
260C23×C11—41no—
261C23×C11#12312yes—
262C23×C11AGL(1,ℤ/8)12yes—
263C23×C11C22×D411yescharacteristic
264D4×C11—44no—
265D4×C11—41no—
266D4×C11—41no—
267D4×C11—41no—
268D4×C11—41no—
269D4×C11—84no—
270D4×C11—84no—
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—21no—
278C2×C4×C11—21no—
279C2×C4×C11—21no—
280C2×C4×C11—21no—
281C2×C4×C11—22no—
282C2×C4×C11—21no—
283C2×C4×C11—21no—
284C2×C4×C11—21no—
285C2×C4×C11—21no—
286C2×C4×C11—21no—
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—41no—
296C2×C4×C11—41no—
297C2×C4×C11—41no—
298C2×C4×C11—41no—
299C2×C4×C11—84no—
300C2×C4×C11#12312yes—
301C2×C4×C11C22×D411yescharacteristic
302C2×C4×C11C2×#4111yescharacteristic
303C2×C4×C11C2×#4111yescharacteristic
304C2×C4×C11C2×#4111yescharacteristic
305C2×C4×C11H(5,𝔽2)11yescharacteristic
306C2×C4×C112−1+411yescharacteristic
307C2×Dic11—22no—
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—
318C2×Dic11—41no—
319C2×Dic11—84no—
320C11⋊C8—22no—
321C11⋊C8—22no—
322C11⋊C8—41no—
323C11⋊C8—41no—
324C22×M16—111no—
325C2×#121—21no—
326C2×#121C2×D1111yescharacteristic
327C2×#121C2×D1111yescharacteristic
328C2×C4×D4C2×D1111yescharacteristic
329C2×#117—111no—
330C22×C4⋊C4—111no—
331C22×C4⋊C4C2×D1111yescharacteristic
332#481—224no—
333#428—224no—
334C2×#107—111no—
335C2×#107—111no—
336C2×#106—111no—
337C2×#106—111no—
338C2×#106—111no—
339C2×#106—111no—
340C2×#102—111no—
341C2×#102—111no—
342C2×#102—111no—
343C2×#102—111no—
344C2×C22⋊C8—111no—
345C2×C22⋊C8—111no—
346C2×C22⋊C8—111no—
347#396—21no—
348#394—21no—
349#390C2×D1111yescharacteristic
350#389C2×D1111yescharacteristic
351#388—221no—
352#387—221no—
353#386—21no—
354#386—221no—
355#382—111no—
356#380—111no—
357#380—111no—
358#380C2×D1111yescharacteristic
359C4×C4⋊C4—111no—
360C4×C22⋊C4—221no—
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—41no—
376C22×C11—41no—
377C22×C11—41no—
378C22×C11—41no—
379C22×C11—41no—
380C22×C11—41no—
381C22×C11—41no—
382C22×C11—41no—
383C22×C11—81no—
384C22×C11—81no—
385C22×C11—81no—
386C22×C11—81no—
387C22×C11—81no—
388C22×C11—81no—
389C22×C11—81no—
390C22×C11C2×#12311yescharacteristic
391C22×C11D4211yescharacteristic
392C22×C11#54711yescharacteristic
393C22×C11C2×AGL(1,ℤ/8)11yescharacteristic
394C22×C11#57511yescharacteristic
395C22×C11#57711yescharacteristic
396C22×C11#57711yescharacteristic
397C4×C11—22no—
398C4×C11—41no—
399C4×C11—41no—
400C4×C11—41no—
401C4×C11—42no—
402C4×C11—81no—
403C4×C11—81no—
404C4×C11#52511yescharacteristic
405C4×C11#53911yescharacteristic
406C4×C11#54811yescharacteristic
407C4×C11#55311yescharacteristic
408Dic11—42no—
409Dic11—81no—
410Dic11—81no—
411Dic11—81no—
412C22×D4—21no—
413C22×D4—21no—
414C22×D4C22⋊D1111yescharacteristic
415C22×D4C22×D1111yescharacteristic
416C23×C4—21no—
417C23×C4—221no—
418C23×C4C22×D1111yescharacteristic
419C23×C4C22×D1111yescharacteristic
420C2×M16—222no—
421C2×M16—222no—
422C2×M16—222no—
423C22×C8—111no—
424C22×C8—111no—
425C22×C8—111no—
426C22×C8—111no—
427#121—22no—
428#121—22no—
429#121—22no—
430#121—41no—
431#121—44no—
432C4×D4—22no—
433C4×D4—22no—
434#117—222no—
435#117—441no—
436C2×C4⋊C4—22no—
437C2×C4⋊C4—21no—
438C2×C4⋊C4—21no—
439C2×C4⋊C4—41no—
440C2×C4⋊C4—111no—
441C2×C4⋊C4—111no—
442C2×C4⋊C4—111no—
443C2×C4⋊C4—111no—
444C2×C4⋊C4—222no—
445C2×C4⋊C4—221no—
446C2×C4⋊C4—441no—
447C2×C4⋊C4C22⋊D1111yescharacteristic
448C2×C4⋊C4C22×D1111yescharacteristic
449C2×C4⋊C4C22×D1111yescharacteristic
450C2×C4⋊C4C22×D1111yescharacteristic
451C2×C22⋊C4—21no—
452C2×C22⋊C4—21no—
453C2×C22⋊C4—21no—
454C2×C22⋊C4—21no—
455C2×C22⋊C4—21no—
456C2×C22⋊C4—221no—
457C2×C22⋊C4—221no—
458C2×C22⋊C4—221no—
459C2×C22⋊C4C22⋊D1111yescharacteristic
460C2×C22⋊C4C22⋊D1111yescharacteristic
461C2×C42—221no—
462C2×C42—221no—
463C2×C42C22×D1111yescharacteristic
464#107—222no—
465#107—222no—
466#106—114no—
467#106—222no—
468#106—222no—
469#106—441no—
470#102—222no—
471#102—222no—
472#102—222no—
473#102—441no—
474C22⋊C8—222no—
475C22⋊C8—222no—
476C22⋊C8—222no—
477#95—21no—
478#95—21no—
479#95—221no—
480#95—221no—
481#95—221no—
482#95—221no—
483#95—221no—
484C2×C11—42no—
485C2×C11—42no—
486C2×C11—161no—
487C2×C11#244311yescharacteristic
488C2×C11#309411yescharacteristic
489C2×C11#309911yescharacteristic
490C2×C11#326511yescharacteristic
491C2×C11#327511yescharacteristic
492C2×C11#334511yescharacteristic
493C2×C11#335111yescharacteristic
494C24—21no—
495C24C2×C22⋊D1111yescharacteristic
496C24C2×C22⋊D1111yescharacteristic
497C2×D4—22no—
498C2×D4—22no—
499C2×D4—21no—
500C2×D4—21no—
501C2×D4—21no—
502C2×D4—21no—
503C2×D4—21no—
504C2×D4—21no—
505C2×D4—41no—
506C2×D4—42no—
507C2×D4—42no—
508C2×D4—42no—
509C2×D4—42no—
510C2×D4—42no—
511C2×D4—81no—
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—42no—
526C22×C4—42no—
527C22×C4—81no—
528C22×C4—221no—
529C22×C4—221no—
530C22×C4—221no—
531C22×C4—221no—
532C22×C4—442no—
533C22×C4—442no—
534C22×C4—881no—
535C22×C4#434112yes—
536C22×C4#434112yes—
537C22×C4C2×C22⋊D1111yescharacteristic
538C22×C4C2×C22⋊D1111yescharacteristic
539C22×C4C2×C22⋊D1111yescharacteristic
540C22×C4C2×C22⋊D1111yescharacteristic
541C22×C4C23×D1111yescharacteristic
542M16—228no—
543C2×C8—112no—
544C2×C8—112no—
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—
555C4⋊C4—22no—
556C4⋊C4—21no—
557C4⋊C4—21no—
558C4⋊C4—21no—
559C4⋊C4—21no—
560C4⋊C4—21no—
561C4⋊C4—42no—
562C4⋊C4—42no—
563C4⋊C4—112no—
564C4⋊C4—221no—
565C4⋊C4—221no—
566C4⋊C4—221no—
567C4⋊C4—221no—
568C4⋊C4—221no—
569C4⋊C4—221no—
570C4⋊C4—221no—
571C4⋊C4—442no—
572C4⋊C4D4×D1112yes—
573C22⋊C4—22no—
574C22⋊C4—22no—
575C22⋊C4—42no—
576C22⋊C4—42no—
577C22⋊C4—42no—
578C22⋊C4—42no—
579C22⋊C4—81no—
580C22⋊C4—442no—
581C22⋊C4—442no—
582C22⋊C4—881no—
583C42—21no—
584C42—21no—
585C42—442no—
586C42—881no—
587C11#2614311yescharacteristic, complemented, Sylow
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—41no—
601C23—41no—
602C23—41no—
603C23—41no—
604C23—41no—
605C23—41no—
606C23—41no—
607C23#6698512yes—
608C23#6698812yes—
609C23C22×C22⋊D1111yescharacteristic
610D4—44no—
611D4—41no—
612D4—41no—
613D4—41no—
614D4—41no—
615D4—84no—
616D4—84no—
617C2×C4—21no—
618C2×C4—21no—
619C2×C4—22no—
620C2×C4—22no—
621C2×C4—22no—
622C2×C4—22no—
623C2×C4—21no—
624C2×C4—21no—
625C2×C4—21no—
626C2×C4—21no—
627C2×C4—21no—
628C2×C4—22no—
629C2×C4—21no—
630C2×C4—21no—
631C2×C4—21no—
632C2×C4—21no—
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—84no—
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—441no—
656C2×C4—441no—
657C2×C4—441no—
658C2×C4—884no—
659C2×C4#6698812yes—
660C2×C4C2×D4×D1111yescharacteristic
661C2×C4C2×#434111yescharacteristic
662C2×C4C2×#434111yescharacteristic
663C2×C4#6703711yescharacteristic
664C2×C4#41×D1111yescharacteristic
665C2×C4#6704311yescharacteristic
666C8—222no—
667C8—222no—
668C8—441no—
669C8—441no—
670C22—22no—
671C22—22no—
672C22—22no—
673C22—22no—
674C22—22no—
675C22—22no—
676C22—41no—
677C22—41no—
678C22—41no—
679C22—41no—
680C22—41no—
681C22—41no—
682C22—41no—
683C22—41no—
684C22—81no—
685C22—81no—
686C22—81no—
687C22—81no—
688C22—81no—
689C22—81no—
690C22—81no—
691C22C2×#6698511yescharacteristic
692C22C2×#6698811yescharacteristic
693C22D4×C22⋊D1111yescharacteristic
694C22#1062335311yescharacteristic
695C22#1062335511yescharacteristic
696C22#1062336711yescharacteristic
697C22#1062336811yescharacteristic
698C4—22no—
699C4—41no—
700C4—42no—
701C4—41no—
702C4—41no—
703C4—81no—
704C4—81no—
705C4—442no—
706C4—881no—
707C4—881no—
708C4—881no—
709C4#1062312911yescharacteristic
710C4#1062313211yescharacteristic
711C4#1062313311yescharacteristic
712C4#1062313711yescharacteristic
713C2—42no—
714C2—42no—
715C2—161no—
716C2#1307234711yescharacteristic
717C2#1307855211yescharacteristic
718C2#1307860111yescharacteristic
719C2#1308010711yescharacteristic
720C2#1308024811yescharacteristic
721C2#1308108611yescharacteristic
722C2#1308117011yescharacteristic
subgroupG/H
centerC23C22×C22⋊D11
commutator, cosocleC22×C4×C11C24
FrattiniC22×C4C23×D11
Fitting, prime radicalC11×#2416C2
socleC23×C11C22×D4
hypercenter#2416D11
hypocenterC11#26143
LCSG ▷ C22×C4×C11 ▷ C2×C11 ▷ C11
UCSC1 ◁ C23 ◁ C2×C4×D4 ◁ #2416

Complements

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

NH ≅ G/Ntype
1. C2×#10622647C2semidirect
2. C2×#10622577C2semidirect
3. #13071545C2semidirect
4. #13070137C2semidirect
5. #13070097C2semidirect
6. #13070042C2semidirect
7. #13069795C2semidirect
8. #13069240C2semidirect
9. #13069198C2semidirect
10. #13069055C2semidirect
11. #13068939C2semidirect
12. #13068914C2semidirect
13. #13068809C2semidirect
14. #13068808C2semidirect
130. #66872D4semidirect
587. C11#26143semidirect

Maximal subgroups

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

subgroupindex
C2×#106226472
C2×#106225772
#130715452
#130701372
#130700972
#130700422
#130697952
#130692402
#130691982
#130690552
#130689392
#130689142
#130688092
#130688082
C11×#24162
#2614311