Finite Group Databasebeta

← #14801932

Subgroups — #14801932

Order 2816.

1024 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×#10622646C211yesmaximal, characteristic, complemented
2#13073088C211yesmaximal, characteristic, complemented
3#13071636C211yesmaximal, characteristic, complemented
4#13070090C211yesmaximal, characteristic, complemented
5#13070022C211yesmaximal, characteristic, complemented
6#13070000C211yesmaximal, characteristic, complemented
7#13069924C211yesmaximal, characteristic, complemented
8#13069371C211yesmaximal, characteristic, complemented
9#13069239C211yesmaximal, characteristic, complemented
10#13068966C211yesmaximal, characteristic, complemented
11#13068934C211yesmaximal, characteristic, complemented
12#13068794C211yesmaximal, characteristic, complemented
13#13068614C211yesmaximal, characteristic, complemented
14C2×#10622189C211yesmaximal, characteristic, complemented
15C2×C11×#466C211yesmaximal, characteristic
16C22×C11×D8C2211yescharacteristic
17C23×C8×C11C2211yescharacteristic
18C2×C11×#121C2211yescharacteristic
19C2×C11×#121C2211yescharacteristic
20C2×#66988—21no—
21C2×#66988—21no—
22C2×D4×Dic11—21no—
23C2×D4×Dic11C2211yescharacteristic
24C22×C4⋊Dic11C2211yescharacteristic
25C22×C4⋊Dic11C2211yescharacteristic
26C11×#466—24no—
27C2×C11×#107C2211yescharacteristic
28C2×C11×#102C2211yescharacteristic
29C2×C11×#102C2211yescharacteristic
30#10622834C2211yescharacteristic
31#10622834C2211yescharacteristic
32#10622834C2211yescharacteristic
33#10622833—21no—
34C2×#66896C2211yescharacteristic
35C2×#66896C2211yescharacteristic
36C2×#66896C2211yescharacteristic
37C2×#66896C2211yescharacteristic
38C4×C22⋊Dic11C2211yescharacteristic
39C2×C22⋊(C11⋊C8)C2211yescharacteristic
40C2×Dic11⋊C8C2211yescharacteristic
41C2×Dic11⋊C8C2211yescharacteristic
42#10622646—24no—
43#10622598C2211yescharacteristic
44#10622589C2211yescharacteristic
45#10622589C2211yescharacteristic
46C4⋊C4×Dic11C2211yescharacteristic
47C2×#66871C2211yescharacteristic
48C2×#66871C2211yescharacteristic
49#10622564—21no—
50#10622563—21no—
51#10622562—21no—
52#10622562—21no—
53#10622189C2211yescharacteristic
54#10622189C2211yescharacteristic
55#10622189C2211yescharacteristic
56#10622189C2211yescharacteristic
57#10622188C2211yescharacteristic
58#10622188C2211yescharacteristic
59#10622167C2211yescharacteristic
60#10622167C2211yescharacteristic
61C22×D4×C11—21no—
62C22×D4×C11—21no—
63C22×D4×C11C2311yescharacteristic
64C22×D4×C11C2311yescharacteristic
65C23×C4×C11C2311yescharacteristic
66C23×Dic11—21no—
67C23×Dic11—21no—
68C23×Dic11—21no—
69C2×C11×D8—22no—
70C2×C11×D8—22no—
71C2×C11×D8—41no—
72C22×C8×C11—22no—
73C22×C8×C11—22no—
74C22×C8×C11—41no—
75C22×C8×C11C2311yescharacteristic
76C22×C8×C11C2311yescharacteristic
77C11×#121—22no—
78C11×#121—22no—
79C11×#121—22no—
80C11×#121D414yes—
81C2×C11×C4⋊C4C2311yescharacteristic
82C2×C11×C4⋊C4C2311yescharacteristic
83C2×C11×C22⋊C4—21no—
84C2×C11×C22⋊C4—21no—
85C2×C22⋊Dic11—21no—
86C2×C22⋊Dic11—21no—
87C2×C22⋊Dic11—21no—
88C2×C22⋊Dic11—21no—
89C2×C22⋊Dic11—21no—
90C2×C22⋊Dic11—21no—
91C2×C22⋊Dic11—21no—
92C2×C22⋊Dic11D411yescharacteristic
93C2×C22⋊Dic11D411yescharacteristic
94#66988—44no—
95#66988—44no—
96D4×Dic11—22no—
97D4×Dic11—41no—
98D4×Dic11—44no—
99C2×C4⋊Dic11—22no—
100C2×C4⋊Dic11—22no—
101C2×C4⋊Dic11—22no—
102C2×C4⋊Dic11—21no—
103C2×C4⋊Dic11—21no—
104C2×C4⋊Dic11—21no—
105C2×C4⋊Dic11—41no—
106C2×C4⋊Dic11C2311yescharacteristic
107C2×C4⋊Dic11C2311yescharacteristic
108C2×C4⋊Dic11C2311yescharacteristic
109C2×C4⋊Dic11C2311yescharacteristic
110C2×Dic11⋊C4—21no—
111C2×Dic11⋊C4—21no—
112C2×Dic11⋊C4—21no—
113C2×Dic11⋊C4—21no—
114C2×C4×Dic11—21no—
115C2×C4×Dic11C2311yescharacteristic
116C2×C4×Dic11C2311yescharacteristic
117C22×C11⋊C8C2311yescharacteristic
118C22×C11⋊C8C2311yescharacteristic
119C11×#107—22no—
120C11×#102—22no—
121C11×#102—22no—
122#66896—22no—
123#66896—22no—
124#66896—22no—
125#66896—41no—
126C11⋊#95—21no—
127C11⋊#95—21no—
128C11⋊#95D411yescharacteristic
129C11⋊#95D411yescharacteristic
130C22⋊(C11⋊C8)—22no—
131Dic11⋊C8—22no—
132Dic11⋊C8—41no—
133#66871—22no—
134#66871—22no—
135#25200—111nomaximal, Sylow
136C24×C11—21no—
137C24×C11—21no—
138C24×C11C2×D411yescharacteristic
139C2×D4×C11—24no—
140C2×D4×C11—21no—
141C2×D4×C11—21no—
142C2×D4×C11—21no—
143C2×D4×C11—21no—
144C2×D4×C11—21no—
145C2×D4×C11—21no—
146C2×D4×C11—21no—
147C2×D4×C11—21no—
148C2×D4×C11—21no—
149C2×D4×C11—21no—
150C2×D4×C11—21no—
151C2×D4×C11—42no—
152C2×D4×C11—42no—
153C2×D4×C11—42no—
154C2×D4×C11—42no—
155C2×D4×C11—42no—
156C2×D4×C11C2×D412yes—
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×C11C2×D411yescharacteristic
164C22×C4×C11C2×D412yes—
165C22×C4×C11#4112yes—
166C22×C4×C11C2411yescharacteristic
167C22×Dic11—21no—
168C22×Dic11—21no—
169C22×Dic11—21no—
170C22×Dic11—21no—
171C22×Dic11—42no—
172C22×Dic11—42no—
173C22×Dic11—42no—
174C22×Dic11—42no—
175C22×Dic11—42no—
176C22×Dic11—42no—
177C22×Dic11—42no—
178C22×Dic11—81no—
179C22×Dic11—81no—
180C22×Dic11C2×D411yescharacteristic
181C22×Dic11C2×D411yescharacteristic
182C22×Dic11C2×D411yescharacteristic
183C22×Dic11C2×D411yescharacteristic
184C11×D8—44no—
185C2×C8×C11—21no—
186C2×C8×C11—21no—
187C2×C8×C11—21no—
188C2×C8×C11—21no—
189C2×C8×C11—21no—
190C2×C8×C11—44no—
191C2×C8×C11#4112yes—
192C11×C4⋊C4—21no—
193C11×C4⋊C4—21no—
194C11×C4⋊C4—21no—
195C11×C4⋊C4C2×D412yes—
196C11×C22⋊C4—24no—
197C11×C22⋊C4—42no—
198C22⋊Dic11—22no—
199C22⋊Dic11—42no—
200C22⋊Dic11—42no—
201C22⋊Dic11—42no—
202C22⋊Dic11—42no—
203C22⋊Dic11—42no—
204C22⋊Dic11—42no—
205C22⋊Dic11—81no—
206C22⋊Dic11D814yescomplemented
207C4⋊Dic11—21no—
208C4⋊Dic11—21no—
209C4⋊Dic11—21no—
210C4⋊Dic11—21no—
211C4⋊Dic11—21no—
212C4⋊Dic11—21no—
213C4⋊Dic11—21no—
214C4⋊Dic11—42no—
215C4⋊Dic11—42no—
216C4⋊Dic11—42no—
217C4⋊Dic11#4112yes—
218Dic11⋊C4—42no—
219Dic11⋊C4—42no—
220Dic11⋊C4—42no—
221Dic11⋊C4—42no—
222C4×Dic11—21no—
223C4×Dic11—21no—
224C4×Dic11—21no—
225C4×Dic11—21no—
226C4×Dic11—42no—
227C2×C11⋊C8—21no—
228C2×C11⋊C8—21no—
229C2×C11⋊C8—21no—
230C2×C11⋊C8—21no—
231C2×C11⋊C8—21no—
232C2×C11⋊C8—21no—
233C2×#480—111no—
234C2×#466D1111yescharacteristic
235#2501—111no—
236#2361—111no—
237#2083—111no—
238#2071—111no—
239#2067—111no—
240#2054—111no—
241#1947—111no—
242#1925—111no—
243#1879—111no—
244#1874—111no—
245#1850—111no—
246#1802—111no—
247C2×#340—111no—
248C23×C11—21no—
249C23×C11—21no—
250C23×C11—21no—
251C23×C11—21no—
252C23×C11—22no—
253C23×C11—41no—
254C23×C11—41no—
255C23×C11—41no—
256C23×C11—41no—
257C23×C11—41no—
258C23×C11—41no—
259C23×C11—41no—
260C23×C11—41no—
261C23×C11—41no—
262C23×C11—41no—
263C23×C11—41no—
264C23×C11—41no—
265C23×C11—41no—
266C23×C11#12112yes—
267C23×C11C2×D812yes—
268C23×C11AGL(1,ℤ/8)12yes—
269C23×C11C22×D411yescharacteristic
270D4×C11—22no—
271D4×C11—22no—
272D4×C11—48no—
273D4×C11—41no—
274D4×C11—41no—
275D4×C11—41no—
276D4×C11—41no—
277D4×C11—41no—
278D4×C11—41no—
279D4×C11—84no—
280C2×C4×C11—21no—
281C2×C4×C11—21no—
282C2×C4×C11—22no—
283C2×C4×C11—22no—
284C2×C4×C11—22no—
285C2×C4×C11—22no—
286C2×C4×C11—22no—
287C2×C4×C11—41no—
288C2×C4×C11—41no—
289C2×C4×C11—41no—
290C2×C4×C11—41no—
291C2×C4×C11—41no—
292C2×C4×C11#12112yes—
293C2×C4×C11C22×D411yescharacteristic
294C2×C4×C11C2×#4111yescharacteristic
295C2×C4×C11C2×#4111yescharacteristic
296C2×C4×C11C2×#4111yescharacteristic
297C2×C4×C11H(5,𝔽2)11yescharacteristic
298C2×C4×C112−1+411yescharacteristic
299C2×Dic11—21no—
300C2×Dic11—21no—
301C2×Dic11—21no—
302C2×Dic11—21no—
303C2×Dic11—21no—
304C2×Dic11—22no—
305C2×Dic11—21no—
306C2×Dic11—21no—
307C2×Dic11—21no—
308C2×Dic11—21no—
309C2×Dic11—21no—
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—41no—
320C2×Dic11—41no—
321C2×Dic11—84no—
322C2×Dic11—84no—
323C2×Dic11—84no—
324C2×Dic11C2×D812yes—
325C2×Dic11C2×D812yes—
326C8×C11—22no—
327C8×C11—41no—
328C11⋊C8—41no—
329C11⋊C8—41no—
330C22×D8C2×D1111yescharacteristic
331C23×C8C2×D1111yescharacteristic
332C2×#123—221no—
333C2×#123—221no—
334C2×#121C2×D1111yescharacteristic
335C2×#121C2×D1111yescharacteristic
336C2×C4×D4—111no—
337C2×C4×D4—221no—
338C22×C4⋊C4—111no—
339C22×C4⋊C4—111no—
340#480—224no—
341#466—24no—
342C2×#107—111no—
343C2×#107—111no—
344C2×#107C2×D1111yescharacteristic
345C2×C4⋊C8—111no—
346C2×C4⋊C8—111no—
347C2×#102—111no—
348C2×#102—111no—
349C2×#102—111no—
350C2×#102—111no—
351C2×#102C2×D1111yescharacteristic
352C2×#102C2×D1111yescharacteristic
353C2×C22⋊C8—111no—
354#399—221no—
355#399—221no—
356#390—111no—
357#390—111no—
358#390—111no—
359#389—111no—
360#388—221no—
361#386—221no—
362#385—221no—
363#384—111no—
364#384—111no—
365C4×C4⋊C4—111no—
366C4×C22⋊C4—111no—
367#340—111no—
368#340—111no—
369#340—111no—
370#340—111no—
371#340—111no—
372#340—111no—
373#336—111no—
374#336—111no—
375C22×C11—22no—
376C22×C11—22no—
377C22×C11—22no—
378C22×C11—22no—
379C22×C11—22no—
380C22×C11—22no—
381C22×C11—42no—
382C22×C11—42no—
383C22×C11—42no—
384C22×C11—81no—
385C22×C11—81no—
386C22×C11—81no—
387C22×C11—81no—
388C22×C11—81no—
389C22×C11—81no—
390C22×C11—81no—
391C22×C11—81no—
392C22×C11—81no—
393C22×C11—81no—
394C22×C11—81no—
395C22×C11#45914yes—
396C22×C11C2×#12111yescharacteristic
397C22×C11#54611yescharacteristic
398C22×C11#54711yescharacteristic
399C22×C11C22×D811yescharacteristic
400C22×C11C2×AGL(1,ℤ/8)11yescharacteristic
401C22×C11#57711yescharacteristic
402C22×C11#57811yescharacteristic
403C4×C11—22no—
404C4×C11—42no—
405C4×C11—81no—
406C4×C11#52911yescharacteristic
407C4×C11#53911yescharacteristic
408C4×C11#54611yescharacteristic
409C4×C11#54711yescharacteristic
410Dic11—22no—
411Dic11—22no—
412Dic11—41no—
413Dic11—42no—
414Dic11—41no—
415Dic11—81no—
416Dic11—81no—
417Dic11—81no—
418C22×D4—21no—
419C22×D4—21no—
420C22×D4C22×D1111yescharacteristic
421C22×D4C22×D1111yescharacteristic
422C23×C4—221no—
423C23×C4—221no—
424C23×C4—221no—
425C23×C4C22×D1111yescharacteristic
426C2×D8—22no—
427C2×D8—22no—
428C2×D8—41no—
429C22×C8—22no—
430C22×C8—22no—
431C22×C8—41no—
432C22×C8—111no—
433C22×C8—111no—
434C22×C8C22×D1111yescharacteristic
435C22×C8C22×D1111yescharacteristic
436#123—444no—
437#123—444no—
438#121—22no—
439#121—22no—
440#121—22no—
441#121C22⋊D1114yes—
442C4×D4—222no—
443C4×D4—441no—
444C4×D4—444no—
445C2×C4⋊C4—111no—
446C2×C4⋊C4—111no—
447C2×C4⋊C4—111no—
448C2×C4⋊C4—111no—
449C2×C4⋊C4—222no—
450C2×C4⋊C4—222no—
451C2×C4⋊C4—222no—
452C2×C4⋊C4—221no—
453C2×C4⋊C4—221no—
454C2×C4⋊C4—221no—
455C2×C4⋊C4—221no—
456C2×C4⋊C4—221no—
457C2×C4⋊C4—221no—
458C2×C4⋊C4—221no—
459C2×C4⋊C4—441no—
460C2×C4⋊C4C22×D1111yescharacteristic
461C2×C4⋊C4C22×D1111yescharacteristic
462C2×C22⋊C4—21no—
463C2×C22⋊C4—21no—
464C2×C22⋊C4—111no—
465C2×C22⋊C4—111no—
466C2×C22⋊C4—221no—
467C2×C22⋊C4—221no—
468C2×C22⋊C4—221no—
469C2×C22⋊C4—221no—
470C2×C22⋊C4—221no—
471C2×C22⋊C4—221no—
472C2×C22⋊C4—221no—
473C2×C42—111no—
474C2×C42—111no—
475C2×C42—221no—
476#107—22no—
477#107—222no—
478#107—222no—
479C4⋊C8—222no—
480C4⋊C8—441no—
481#102—22no—
482#102—22no—
483#102—222no—
484#102—222no—
485#102—222no—
486#102—441no—
487C22⋊C8—222no—
488#95—111no—
489#95—111no—
490#95—221no—
491#95—221no—
492C2×C11—24no—
493C2×C11—82no—
494C2×C11—161no—
495C2×C11#242511yescharacteristic
496C2×C11C2×#45911yescharacteristic
497C2×C11#304611yescharacteristic
498C2×C11#329411yescharacteristic
499C2×C11#330811yescharacteristic
500C2×C11#333411yescharacteristic
501C2×C11#334511yescharacteristic
502C24—21no—
503C24—21no—
504C24D4×D1111yescharacteristic
505C2×D4—24no—
506C2×D4—21no—
507C2×D4—21no—
508C2×D4—21no—
509C2×D4—21no—
510C2×D4—21no—
511C2×D4—21no—
512C2×D4—21no—
513C2×D4—21no—
514C2×D4—21no—
515C2×D4—21no—
516C2×D4—21no—
517C2×D4—42no—
518C2×D4—42no—
519C2×D4—42no—
520C2×D4—42no—
521C2×D4—42no—
522C2×D4C2×C22⋊D1112yes—
523C22×C4—21no—
524C22×C4—21no—
525C22×C4—21no—
526C22×C4—21no—
527C22×C4—21no—
528C22×C4—21no—
529C22×C4—111no—
530C22×C4—111no—
531C22×C4—111no—
532C22×C4—111no—
533C22×C4—221no—
534C22×C4—221no—
535C22×C4—221no—
536C22×C4—221no—
537C22×C4—442no—
538C22×C4—442no—
539C22×C4—442no—
540C22×C4—442no—
541C22×C4—442no—
542C22×C4—442no—
543C22×C4—442no—
544C22×C4—881no—
545C22×C4—881no—
546C22×C4D4×D1111yescharacteristic
547C22×C4#434112yes—
548C22×C4C2×C22⋊D1112yes—
549C22×C4C23×D1111yescharacteristic
550D8—44no—
551C2×C8—21no—
552C2×C8—21no—
553C2×C8—21no—
554C2×C8—21no—
555C2×C8—21no—
556C2×C8—44no—
557C2×C8—221no—
558C2×C8—221no—
559C2×C8—221no—
560C2×C8—221no—
561C2×C8—221no—
562C2×C8—221no—
563C2×C8#434112yes—
564C4⋊C4—21no—
565C4⋊C4—21no—
566C4⋊C4—21no—
567C4⋊C4—112no—
568C4⋊C4—221no—
569C4⋊C4—221no—
570C4⋊C4—221no—
571C4⋊C4—221no—
572C4⋊C4—221no—
573C4⋊C4—221no—
574C4⋊C4—221no—
575C4⋊C4—442no—
576C4⋊C4—442no—
577C4⋊C4—442no—
578C4⋊C4—442no—
579C4⋊C4—442no—
580C4⋊C4—442no—
581C4⋊C4—442no—
582C4⋊C4C2×C22⋊D1112yes—
583C22⋊C4—24no—
584C22⋊C4—42no—
585C22⋊C4—114no—
586C22⋊C4—222no—
587C22⋊C4—442no—
588C22⋊C4—442no—
589C22⋊C4—442no—
590C22⋊C4—442no—
591C22⋊C4—442no—
592C22⋊C4—442no—
593C22⋊C4—881no—
594C42—221no—
595C42—221no—
596C42—221no—
597C42—221no—
598C42—442no—
599C11#2520011yescharacteristic, complemented, Sylow
600C23—21no—
601C23—21no—
602C23—21no—
603C23—21no—
604C23—22no—
605C23—41no—
606C23—41no—
607C23—41no—
608C23—41no—
609C23—41no—
610C23—41no—
611C23—41no—
612C23—41no—
613C23—41no—
614C23—41no—
615C23—41no—
616C23—41no—
617C23—41no—
618C23D8×D1112yes—
619C23#6696412yes—
620C23#6699212yes—
621C23C2×D4×D1111yescharacteristic
622D4—22no—
623D4—22no—
624D4—48no—
625D4—41no—
626D4—41no—
627D4—41no—
628D4—41no—
629D4—41no—
630D4—41no—
631D4—84no—
632C2×C4—21no—
633C2×C4—21no—
634C2×C4—22no—
635C2×C4—22no—
636C2×C4—22no—
637C2×C4—22no—
638C2×C4—22no—
639C2×C4—41no—
640C2×C4—41no—
641C2×C4—41no—
642C2×C4—41no—
643C2×C4—41no—
644C2×C4—112no—
645C2×C4—112no—
646C2×C4—221no—
647C2×C4—221no—
648C2×C4—221no—
649C2×C4—221no—
650C2×C4—221no—
651C2×C4—221no—
652C2×C4—221no—
653C2×C4—221no—
654C2×C4—221no—
655C2×C4—222no—
656C2×C4—221no—
657C2×C4—441no—
658C2×C4—441no—
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—884no—
669C2×C4—884no—
670C2×C4—884no—
671C2×C4#6699212yes—
672C2×C4C2×#434111yescharacteristic
673C2×C4C2×#434111yescharacteristic
674C2×C4#6703711yescharacteristic
675C2×C4#41×D1111yescharacteristic
676C2×C4#6704311yescharacteristic
677C2×C4C22×C22⋊D1111yescharacteristic
678C8—22no—
679C8—41no—
680C8—441no—
681C8—441no—
682C22—22no—
683C22—22no—
684C22—22no—
685C22—22no—
686C22—22no—
687C22—22no—
688C22—42no—
689C22—42no—
690C22—42no—
691C22—81no—
692C22—81no—
693C22—81no—
694C22—81no—
695C22—81no—
696C22—81no—
697C22—81no—
698C22—81no—
699C22—81no—
700C22—81no—
701C22—81no—
702C22#1062276314yes—
703C22#1062314111yescharacteristic
704C22#1062314211yescharacteristic
705C22C2×D8×D1111yescharacteristic
706C22C2×#6696411yescharacteristic
707C22#1062330111yescharacteristic
708C22#1062330211yescharacteristic
709C22C2×#6699211yescharacteristic
710C4—22no—
711C4—42no—
712C4—81no—
713C4—222no—
714C4—222no—
715C4—441no—
716C4—441no—
717C4—442no—
718C4—881no—
719C4—881no—
720C4—881no—
721C4#1062313111yescharacteristic
722C4#1062313311yescharacteristic
723C4#1062333711yescharacteristic
724C4#1062335511yescharacteristic
725C2—24no—
726C2—82no—
727C2—161no—
728C2#1307217311yescharacteristic
729C2C2×#1062276311yescharacteristic
730C2#1307816411yescharacteristic
731C2#1308042411yescharacteristic
732C2#1308061311yescharacteristic
733C2#1308096011yescharacteristic
734C2#1308109211yescharacteristic
subgroupG/H
centerC23C2×D4×D11
commutator, cosocleC22×C4×C11C24
FrattiniC22×C4C23×D11
Fitting, prime radicalC2×C11×#466C2
socleC23×C11C22×D4
hypercenterC2×#466D11
hypocenterC11#25200
LCSG ▷ C22×C4×C11 ▷ C2×C11 ▷ C11
UCSC1 ◁ C23 ◁ C23×C4 ◁ C2×#466

Complements

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

NH ≅ G/Ntype
1. C2×#10622646C2semidirect
2. #13073088C2semidirect
3. #13071636C2semidirect
4. #13070090C2semidirect
5. #13070022C2semidirect
6. #13070000C2semidirect
7. #13069924C2semidirect
8. #13069371C2semidirect
9. #13069239C2semidirect
10. #13068966C2semidirect
11. #13068934C2semidirect
12. #13068794C2semidirect
13. #13068614C2semidirect
14. C2×#10622189C2semidirect
206. C22⋊Dic11D8semidirect
599. C11#25200semidirect

Maximal subgroups

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

subgroupindex
C2×#106226462
#130730882
#130716362
#130700902
#130700222
#130700002
#130699242
#130693712
#130692392
#130689662
#130689342
#130687942
#130686142
C2×#106221892
C2×C11×#4662
#2520011