Finite Group Databasebeta

← #14801980

Subgroups — #14801980

Order 2816.

940 conjugacy classes of subgroups.

The subgroup lattice has 696 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#10622656C211yesmaximal, characteristic, complemented
2C2×#10622661C211yesmaximal, characteristic
3#13073087C211yesmaximal, characteristic
4#13070092C211yesmaximal, characteristic, complemented
5#13070024C211yesmaximal, characteristic, complemented
6#13069987C211yesmaximal, characteristic, complemented
7#13069931C211yesmaximal, characteristic, complemented
8#13069379C211yesmaximal, characteristic, complemented
9#13069243C211yesmaximal, characteristic, complemented
10#13068971C211yesmaximal, characteristic, complemented
11#13068933C211yesmaximal, characteristic
12#13068796C211yesmaximal, characteristic, complemented
13#13068621C211yesmaximal, characteristic, complemented
14C2×#10622167C211yesmaximal, characteristic, complemented
15C11×#2360C211yesmaximal, characteristic, complemented
16C2×C11×C22⋊Q8C2211yescharacteristic
17C2×C4×Q8×C11C2211yescharacteristic
18C22×C11×C4⋊C4C2211yescharacteristic
19C22×#4325C2211yescharacteristic
20C2×#66983C2211yescharacteristic
21C22×C4⋊Dic11C2211yescharacteristic
22C23×C11⋊C8C2211yescharacteristic
23C2×#66939—21no—
24C2×#66939—21no—
25C11×#391C2211yescharacteristic
26C11×#389—21no—
27C11×#389C2211yescharacteristic
28C11×#387—21no—
29C11×#385—21no—
30C4×C11×C4⋊C4C2211yescharacteristic
31C4×C11×C22⋊C4—21no—
32C4×C11×C22⋊C4C2211yescharacteristic
33C2×#66899C2211yescharacteristic
34C2×#66899C2211yescharacteristic
35C2×#66899C2211yescharacteristic
36C2×C22⋊(C11⋊C8)C2211yescharacteristic
37#10622661—24no—
38#10622656—24no—
39C2×#66873C2211yescharacteristic
40C2×#66873C2211yescharacteristic
41C2×#66873C2211yescharacteristic
42C2×#66872C2211yescharacteristic
43C2×#66872C2211yescharacteristic
44C2×#66872C2211yescharacteristic
45#10622552C2211yescharacteristic
46#10622552C2211yescharacteristic
47#10622548C2211yescharacteristic
48#10622548C2211yescharacteristic
49C2×C4⋊(C11⋊C8)C2211yescharacteristic
50C2×C4⋊(C11⋊C8)C2211yescharacteristic
51#10622290—21no—
52#10622290—21no—
53#10622167C2211yescharacteristic
54#10622167C2211yescharacteristic
55#10622167C2211yescharacteristic
56#10622167C2211yescharacteristic
57#10622167C2211yescharacteristic
58#10622167C2211yescharacteristic
59#10622162C2211yescharacteristic
60#10622162C2211yescharacteristic
61C22×Q8×C11C2311yescharacteristic
62C23×C4×C11—21no—
63C23×C4×C11C2311yescharacteristic
64C22×C22⋊D11—21no—
65C23×Dic11—21no—
66C22×D44C2311yescharacteristic
67C11×C22⋊Q8—22no—
68C11×C22⋊Q8D414yes—
69C4×Q8×C11—22no—
70C4×Q8×C11—41no—
71C2×C11×C4⋊C4—21no—
72C2×C11×C4⋊C4—22no—
73C2×C11×C4⋊C4—21no—
74C2×C11×C4⋊C4—21no—
75C2×C11×C4⋊C4—21no—
76C2×C11×C4⋊C4—41no—
77C2×C11×C4⋊C4C2311yescharacteristic
78C2×C11×C4⋊C4C2311yescharacteristic
79C2×C11×C4⋊C4C2311yescharacteristic
80C2×C11×C22⋊C4—21no—
81C2×C11×C22⋊C4D411yescharacteristic
82C2×C11×C22⋊C4D411yescharacteristic
83C2×C42×C11—21no—
84C2×C42×C11—21no—
85C2×C42×C11C2311yescharacteristic
86C2×C42×C11C2311yescharacteristic
87C2×#4325—22no—
88C2×#4325—22no—
89C2×#4325—41no—
90#66983—22no—
91#66983—22no—
92C2×(C2×D11)⋊C4—21no—
93C2×(C2×D11)⋊C4—21no—
94C2×(C2×D11)⋊C4—21no—
95C2×(C2×D11)⋊C4—21no—
96C2×(C2×D11)⋊C4—21no—
97C2×C4⋊Dic11—22no—
98C2×C4⋊Dic11—22no—
99C2×C4⋊Dic11—21no—
100C2×C4⋊Dic11—21no—
101C2×C4⋊Dic11—21no—
102C2×C4⋊Dic11—21no—
103C2×C4⋊Dic11—21no—
104C2×C4⋊Dic11C2311yescharacteristic
105C2×C4⋊Dic11C2311yescharacteristic
106C2×C4⋊Dic11C2311yescharacteristic
107C22×C11⋊C8—22no—
108C22×C11⋊C8—22no—
109C22×C11⋊C8—41no—
110C22×C11⋊C8C2311yescharacteristic
111C22×C11⋊C8C2311yescharacteristic
112C22×C11⋊C8C2311yescharacteristic
113C22×C11⋊C8C2311yescharacteristic
114#66939—44no—
115#66939—44no—
116C11×#95—21no—
117C11×#95—21no—
118C11×#95—21no—
119C11×#95—21no—
120C11×#95D411yescharacteristic
121C11×#95D411yescharacteristic
122#66899—22no—
123#66899—22no—
124#66899—22no—
125C22⋊(C11⋊C8)—22no—
126#66873—22no—
127#66873—22no—
128#66873—41no—
129#66872—22no—
130#66872—22no—
131#66872—22no—
132C4⋊(C11⋊C8)—22no—
133C4⋊(C11⋊C8)—41no—
134#25204—111nomaximal, Sylow
135C24×C11C2×D411yescharacteristic
136C23×D11—21no—
137C2×Q8×C11—21no—
138C2×Q8×C11—21no—
139C2×Q8×C11—21no—
140C2×Q8×C11—21no—
141C2×Q8×C11—21no—
142C2×Q8×C11C2×D412yes—
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—42no—
152C22×C4×C11—42no—
153C22×C4×C11—81no—
154C22×C4×C11C2×D411yescharacteristic
155C22×C4×C11C2×D411yescharacteristic
156C22×C4×C11C2×D411yescharacteristic
157C22×C4×C11C2×D412yes—
158C22×C4×C11C2×D411yescharacteristic
159C22×C4×C11C2×D411yescharacteristic
160C22×C4×C11#4112yes—
161C22×C4×C11C2411yescharacteristic
162C2×C22⋊D11—42no—
163C2×C22⋊D11—42no—
164C2×C22⋊D11—42no—
165C22×Dic11—21no—
166C22×Dic11—21no—
167C22×Dic11—21no—
168C22×Dic11—42no—
169C22×Dic11—42no—
170C22×Dic11—42no—
171C2×D44—21no—
172C2×D44—21no—
173C2×D44—21no—
174C2×D44—21no—
175C2×D44—21no—
176C2×D44—21no—
177C11×C4⋊C4—24no—
178C11×C4⋊C4—21no—
179C11×C4⋊C4—21no—
180C11×C4⋊C4—21no—
181C11×C4⋊C4—21no—
182C11×C4⋊C4—42no—
183C11×C4⋊C4—42no—
184C11×C4⋊C4—81no—
185C11×C4⋊C4C2×D412yes—
186C11×C4⋊C4#4112yes—
187C11×C22⋊C4—24no—
188C11×C22⋊C4—22no—
189C11×C22⋊C4SD1614yescomplemented
190C42×C11—21no—
191C42×C11—21no—
192C42×C11—21no—
193C42×C11—21no—
194C42×C11—42no—
195C42×C11—81no—
196#4325—44no—
197(C2×D11)⋊C4—42no—
198(C2×D11)⋊C4—42no—
199(C2×D11)⋊C4—42no—
200(C2×D11)⋊C4—42no—
201(C2×D11)⋊C4—42no—
202C4⋊Dic11—21no—
203C4⋊Dic11—21no—
204C4⋊Dic11—21no—
205C4⋊Dic11—21no—
206C4⋊Dic11—21no—
207C4⋊Dic11—21no—
208C4⋊Dic11—42no—
209C4⋊Dic11—42no—
210C4⋊Dic11—42no—
211C4⋊Dic11—42no—
212C4⋊Dic11—42no—
213C2×C11⋊C8—21no—
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—44no—
225C2×C11⋊C8#4112yes—
226C2×#483—111no—
227C2×#465—111no—
228#2501—111no—
229#2360D1111yescharacteristic, complemented
230#2084—111no—
231#2072—111no—
232#2065—111no—
233#2055—111no—
234#1948—111no—
235#1926—111no—
236#1880—111no—
237#1874—111no—
238#1850—111no—
239#1803—111no—
240C2×#340—111no—
241C23×C11—21no—
242C23×C11—21no—
243C23×C11—21no—
244C23×C11—21no—
245C23×C11#12112yes—
246C23×C11C2×SD1612yes—
247C23×C11AGL(1,ℤ/8)12yes—
248C23×C11C22×D411yescharacteristic
249C22×D11—41no—
250C22×D11—41no—
251C22×D11—41no—
252C22×D11—41no—
253C22×D11—41no—
254C22×D11—41no—
255C22×D11—41no—
256Q8×C11—22no—
257Q8×C11—22no—
258Q8×C11—41no—
259Q8×C11—41no—
260C2×C4×C11—21no—
261C2×C4×C11—21no—
262C2×C4×C11—21no—
263C2×C4×C11—21no—
264C2×C4×C11—21no—
265C2×C4×C11—21no—
266C2×C4×C11—22no—
267C2×C4×C11—22no—
268C2×C4×C11—22no—
269C2×C4×C11—22no—
270C2×C4×C11—22no—
271C2×C4×C11—22no—
272C2×C4×C11—21no—
273C2×C4×C11—22no—
274C2×C4×C11—21no—
275C2×C4×C11—21no—
276C2×C4×C11—21no—
277C2×C4×C11—21no—
278C2×C4×C11—21no—
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—84no—
289C2×C4×C11#12112yes—
290C2×C4×C11C2×SD1612yes—
291C2×C4×C11C2×SD1612yes—
292C2×C4×C11C22×D411yescharacteristic
293C2×C4×C11C2×#4111yescharacteristic
294C2×C4×C11C2×#4111yescharacteristic
295C2×C4×C11C2×#4111yescharacteristic
296C2×C4×C11H(5,𝔽2)11yescharacteristic
297C2×C4×C112−1+411yescharacteristic
298C22⋊D11—84no—
299C2×Dic11—41no—
300C2×Dic11—41no—
301C2×Dic11—41no—
302C2×Dic11—41no—
303C2×Dic11—41no—
304C2×Dic11—41no—
305C2×Dic11—41no—
306C2×Dic11—41no—
307C2×Dic11—41no—
308C2×Dic11—84no—
309D44—41no—
310D44—41no—
311D44—41no—
312D44—41no—
313C11⋊C8—22no—
314C11⋊C8—41no—
315C11⋊C8—41no—
316C11⋊C8—41no—
317C22×SD16—111no—
318C23×C8—111no—
319C2×#123—221no—
320C2×#123—221no—
321C2×C22⋊Q8C2×D1111yescharacteristic
322C2×#121—111no—
323C2×C4×Q8C2×D1111yescharacteristic
324C22×C4⋊C4—111no—
325C22×C4⋊C4C2×D1111yescharacteristic
326#483—224no—
327#465—224no—
328C2×#106—111no—
329C2×#106—111no—
330C2×#106—111no—
331C2×C4⋊C8—111no—
332C2×C4⋊C8—111no—
333C2×#103—111no—
334C2×#103—111no—
335C2×#103—111no—
336C2×#102—111no—
337C2×#102—111no—
338C2×#102—111no—
339C2×C22⋊C8—111no—
340#399—221no—
341#399—221no—
342#391C2×D1111yescharacteristic
343#390—111no—
344#390—111no—
345#389—21no—
346#389C2×D1111yescharacteristic
347#387—21no—
348#385—21no—
349#384—111no—
350#384—111no—
351C4×C4⋊C4C2×D1111yescharacteristic
352C4×C22⋊C4—21no—
353C4×C22⋊C4C2×D1111yescharacteristic
354#340—111no—
355#340—111no—
356#340—111no—
357#340—111no—
358#340—111no—
359#340—111no—
360#336—111no—
361#336—111no—
362C22×C11—22no—
363C22×C11—22no—
364C22×C11—22no—
365C22×C11—22no—
366C22×C11—22no—
367C22×C11—22no—
368C22×C11#46014yes—
369C22×C11C2×#12111yescharacteristic
370C22×C11#54611yescharacteristic
371C22×C11#54711yescharacteristic
372C22×C11C22×SD1611yescharacteristic
373C22×C11C2×AGL(1,ℤ/8)11yescharacteristic
374C22×C11#57711yescharacteristic
375C22×C11#57811yescharacteristic
376C2×D11—81no—
377C2×D11—81no—
378C2×D11—81no—
379C2×D11—81no—
380C2×D11—81no—
381C2×D11—81no—
382C2×D11—81no—
383C4×C11—22no—
384C4×C11—22no—
385C4×C11—22no—
386C4×C11—41no—
387C4×C11—42no—
388C4×C11—42no—
389C4×C11—41no—
390C4×C11—42no—
391C4×C11—81no—
392C4×C11#52911yescharacteristic
393C4×C11#53911yescharacteristic
394C4×C11#54611yescharacteristic
395C4×C11#54711yescharacteristic
396Dic11—81no—
397Dic11—81no—
398Dic11—81no—
399C22×Q8C22×D1111yescharacteristic
400C22×D4—111no—
401C22×D4—221no—
402C23×C4—21no—
403C23×C4—221no—
404C23×C4C22×D1111yescharacteristic
405C2×SD16—222no—
406C2×SD16—222no—
407C2×SD16—441no—
408C22×C8—111no—
409C22×C8—111no—
410C22×C8—111no—
411C22×C8—111no—
412C22×C8—222no—
413C22×C8—222no—
414C22×C8—441no—
415#123—444no—
416#123—444no—
417C22⋊Q8—22no—
418C22⋊Q8D4414yes—
419#121—222no—
420#121—222no—
421C4×Q8—22no—
422C4×Q8—41no—
423C2×C4⋊C4—21no—
424C2×C4⋊C4—22no—
425C2×C4⋊C4—21no—
426C2×C4⋊C4—21no—
427C2×C4⋊C4—21no—
428C2×C4⋊C4—41no—
429C2×C4⋊C4—111no—
430C2×C4⋊C4—111no—
431C2×C4⋊C4—111no—
432C2×C4⋊C4—222no—
433C2×C4⋊C4—222no—
434C2×C4⋊C4—221no—
435C2×C4⋊C4—221no—
436C2×C4⋊C4—221no—
437C2×C4⋊C4—221no—
438C2×C4⋊C4—221no—
439C2×C4⋊C4C22×D1111yescharacteristic
440C2×C4⋊C4C22×D1111yescharacteristic
441C2×C4⋊C4C22×D1111yescharacteristic
442C2×C22⋊C4—21no—
443C2×C22⋊C4—221no—
444C2×C22⋊C4—221no—
445C2×C22⋊C4—221no—
446C2×C22⋊C4—221no—
447C2×C22⋊C4—221no—
448C2×C22⋊C4C22⋊D1111yescharacteristic
449C2×C22⋊C4C22⋊D1111yescharacteristic
450C2×C42—21no—
451C2×C42—21no—
452C2×C42C22×D1111yescharacteristic
453C2×C42C22×D1111yescharacteristic
454#106—222no—
455#106—222no—
456#106—222no—
457C4⋊C8—222no—
458C4⋊C8—441no—
459#103—222no—
460#103—222no—
461#103—222no—
462#102—222no—
463#102—222no—
464#102—441no—
465C22⋊C8—222no—
466#95—21no—
467#95—21no—
468#95—21no—
469#95—21no—
470#95C22⋊D1111yescharacteristic
471#95C22⋊D1111yescharacteristic
472C2×C11—24no—
473C2×C11#242511yescharacteristic
474C2×C11C2×#46011yescharacteristic
475C2×C11#304611yescharacteristic
476C2×C11#329811yescharacteristic
477C2×C11#330611yescharacteristic
478C2×C11#333511yescharacteristic
479C2×C11#334311yescharacteristic
480D11—161no—
481C24—221no—
482C24C2×C22⋊D1111yescharacteristic
483C2×Q8—21no—
484C2×Q8—21no—
485C2×Q8—21no—
486C2×Q8—21no—
487C2×Q8—21no—
488C2×Q8C2×D4412yes—
489C2×D4—221no—
490C2×D4—221no—
491C2×D4—221no—
492C2×D4—221no—
493C2×D4—221no—
494C2×D4—221no—
495C2×D4—442no—
496C2×D4—442no—
497C2×D4—442no—
498C22×C4—21no—
499C22×C4—21no—
500C22×C4—21no—
501C22×C4—21no—
502C22×C4—21no—
503C22×C4—21no—
504C22×C4—21no—
505C22×C4—21no—
506C22×C4—42no—
507C22×C4—42no—
508C22×C4—81no—
509C22×C4—221no—
510C22×C4—221no—
511C22×C4—221no—
512C22×C4—442no—
513C22×C4—442no—
514C22×C4—442no—
515C22×C4C2×D4412yes—
516C22×C4#433912yes—
517C22×C4C2×C22⋊D1111yescharacteristic
518C22×C4C2×C22⋊D1111yescharacteristic
519C22×C4C2×C22⋊D1111yescharacteristic
520C22×C4C2×C22⋊D1111yescharacteristic
521C22×C4C2×C22⋊D1111yescharacteristic
522C22×C4C23×D1111yescharacteristic
523SD16—444no—
524C2×C8—112no—
525C2×C8—221no—
526C2×C8—221no—
527C2×C8—221no—
528C2×C8—221no—
529C2×C8—221no—
530C2×C8—221no—
531C2×C8—221no—
532C2×C8—221no—
533C2×C8—221no—
534C2×C8—221no—
535C2×C8—221no—
536C2×C8—444no—
537C4⋊C4—24no—
538C4⋊C4—21no—
539C4⋊C4—21no—
540C4⋊C4—21no—
541C4⋊C4—21no—
542C4⋊C4—42no—
543C4⋊C4—42no—
544C4⋊C4—81no—
545C4⋊C4—221no—
546C4⋊C4—221no—
547C4⋊C4—221no—
548C4⋊C4—221no—
549C4⋊C4—221no—
550C4⋊C4—221no—
551C4⋊C4—442no—
552C4⋊C4—442no—
553C4⋊C4—442no—
554C4⋊C4—442no—
555C4⋊C4—442no—
556C4⋊C4C2×D4412yes—
557C4⋊C4#434112yes—
558C22⋊C4—24no—
559C22⋊C4—22no—
560C22⋊C4—442no—
561C22⋊C4—442no—
562C22⋊C4—442no—
563C22⋊C4—442no—
564C22⋊C4—442no—
565C22⋊C4#432514yescomplemented
566C42—21no—
567C42—21no—
568C42—21no—
569C42—21no—
570C42—42no—
571C42—81no—
572C11#2520411yescharacteristic, complemented, Sylow
573C23—21no—
574C23—21no—
575C23—21no—
576C23—21no—
577C23—441no—
578C23—441no—
579C23—441no—
580C23—441no—
581C23—441no—
582C23—441no—
583C23—441no—
584C23#6698312yes—
585C23C2×#432512yes—
586C23#6700212yes—
587C23C22×C22⋊D1111yescharacteristic
588Q8—22no—
589Q8—22no—
590Q8—41no—
591Q8—41no—
592D4—441no—
593D4—441no—
594D4—441no—
595D4—441no—
596D4—884no—
597C2×C4—21no—
598C2×C4—21no—
599C2×C4—21no—
600C2×C4—21no—
601C2×C4—21no—
602C2×C4—21no—
603C2×C4—22no—
604C2×C4—22no—
605C2×C4—22no—
606C2×C4—22no—
607C2×C4—22no—
608C2×C4—22no—
609C2×C4—21no—
610C2×C4—22no—
611C2×C4—21no—
612C2×C4—21no—
613C2×C4—21no—
614C2×C4—21no—
615C2×C4—21no—
616C2×C4—41no—
617C2×C4—41no—
618C2×C4—41no—
619C2×C4—41no—
620C2×C4—41no—
621C2×C4—41no—
622C2×C4—41no—
623C2×C4—41no—
624C2×C4—41no—
625C2×C4—84no—
626C2×C4—441no—
627C2×C4—441no—
628C2×C4—441no—
629C2×C4—441no—
630C2×C4—441no—
631C2×C4—441no—
632C2×C4—441no—
633C2×C4—441no—
634C2×C4—441no—
635C2×C4—884no—
636C2×C4#6698312yes—
637C2×C4C2×#432512yes—
638C2×C4C2×#432512yes—
639C2×C4C22×D4411yescharacteristic
640C2×C4C2×#433911yescharacteristic
641C2×C4C2×#434111yescharacteristic
642C2×C4#6703711yescharacteristic
643C2×C4#41×D1111yescharacteristic
644C2×C4#6704311yescharacteristic
645C8—222no—
646C8—441no—
647C8—441no—
648C8—441no—
649C22—22no—
650C22—22no—
651C22—22no—
652C22—22no—
653C22—22no—
654C22—22no—
655C22—881no—
656C22—881no—
657C22—881no—
658C22—881no—
659C22—881no—
660C22—881no—
661C22—881no—
662C22#1062264014yes—
663C22C2×#6698311yescharacteristic
664C22#1062333711yescharacteristic
665C22C22×#432511yescharacteristic
666C22C2×#6700211yescharacteristic
667C22#1062335511yescharacteristic
668C22#1062336711yescharacteristic
669C22#1062336911yescharacteristic
670C4—22no—
671C4—22no—
672C4—22no—
673C4—41no—
674C4—42no—
675C4—42no—
676C4—42no—
677C4—41no—
678C4—81no—
679C4—881no—
680C4—881no—
681C4—881no—
682C4#1062306911yescharacteristic
683C4#1062308511yescharacteristic
684C4#1062308611yescharacteristic
685C4#1062309511yescharacteristic
686C2—24no—
687C2—1761no—
688C2#1307216111yescharacteristic
689C2C2×#1062264011yescharacteristic
690C2#1307816611yescharacteristic
691C2#1308048111yescharacteristic
692C2#1308057711yescharacteristic
693C2#1308096711yescharacteristic
694C2#1308105611yescharacteristic
subgroupG/H
centerC23C22×C22⋊D11
commutator, cosocleC22×C4×C11C24
FrattiniC22×C4C23×D11
FittingC11×#2360C2
socleC23×C11C22×D4
prime radicalC2×#66983C22
hypercenter#2360D11
hypocenterC11#25204
LCSG ▷ C22×C4×C11 ▷ C2×C11 ▷ C11
UCSC1 ◁ C23 ◁ C4×C22⋊C4 ◁ #2360

Complements

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

NH ≅ G/Ntype
1. C2×#10622656C2semidirect
4. #13070092C2semidirect
5. #13070024C2semidirect
6. #13069987C2semidirect
7. #13069931C2semidirect
8. #13069379C2semidirect
9. #13069243C2semidirect
10. #13068971C2semidirect
12. #13068796C2semidirect
13. #13068621C2semidirect
14. C2×#10622167C2semidirect
15. C11×#2360C2semidirect
189. C11×C22⋊C4SD16semidirect
229. #2360D11semidirect
565. C22⋊C4#4325semidirect
572. C11#25204semidirect

Maximal subgroups

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

subgroupindex
C2×#106226562
C2×#106226612
#130730872
#130700922
#130700242
#130699872
#130699312
#130693792
#130692432
#130689712
#130689332
#130687962
#130686212
C2×#106221672
C11×#23602
#2520411