Finite Group Databasebeta

← #14813506

Subgroups — #14813506

Order 2816.

954 conjugacy classes of subgroups.

The subgroup lattice has 728 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#10622646C211yesmaximal, characteristic, complemented
2C2×#10622608C211yesmaximal, characteristic, complemented
3D4×C4⋊Dic11C211yesmaximal, characteristic, complemented
4#13070149C211yesmaximal, characteristic, complemented
5#13070087C211yesmaximal, characteristic, complemented
6#13070053C211yesmaximal, characteristic, complemented
7#13069795C211yesmaximal, characteristic, complemented
8#13069240C211yesmaximal, characteristic, complemented
9#13069205C211yesmaximal, characteristic, complemented
10#13069055C211yesmaximal, characteristic, complemented
11#13068934C211yesmaximal, characteristic, complemented
12#13068914C211yesmaximal, characteristic, complemented
13#13068815C211yesmaximal, characteristic, complemented
14#13068808C211yesmaximal, characteristic, complemented
15C11×#2414C211yesmaximal, characteristic
16C2×C11×#121C2211yescharacteristic
17C2×C11×#121C2211yescharacteristic
18C2×C4×D4×C11C2211yescharacteristic
19C2×C11×#117C2211yescharacteristic
20C2×D4×Dic11—21no—
21C22×C4⋊Dic11C2211yescharacteristic
22C22×C4⋊Dic11C2211yescharacteristic
23C22×#4318C2211yescharacteristic
24C11×#394—21no—
25C11×#392—21no—
26C11×#390—21no—
27C11×#390C2211yescharacteristic
28C11×#389C2211yescharacteristic
29C11×#388—21no—
30C11×#380C2211yescharacteristic
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#10622646—24no—
41#10622608—24no—
42#10622598—21no—
43C2×#66872C2211yescharacteristic
44C2×#66872C2211yescharacteristic
45C2×#66872C2211yescharacteristic
46C2×#66871C2211yescharacteristic
47C2×#66871C2211yescharacteristic
48C2×#66871C2211yescharacteristic
49#10622563—21no—
50#10622563—21no—
51#10622548C2211yescharacteristic
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×C11C2311yescharacteristic
66C23×C4×C11C2311yescharacteristic
67C23×Dic11—21no—
68C23×Dic11—21no—
69C11×#121—22no—
70C11×#121—22no—
71C11×#121—22no—
72C11×#121—41no—
73C4×D4×C11—22no—
74C4×D4×C11—22no—
75C11×#117—22no—
76C11×#117—41no—
77C2×C11×C4⋊C4—21no—
78C2×C11×C4⋊C4D411yescharacteristic
79C2×C11×C4⋊C4C2311yescharacteristic
80C2×C11×C4⋊C4C2311yescharacteristic
81C2×C11×C4⋊C4C2311yescharacteristic
82C2×C11×C22⋊C4—21no—
83C2×C11×C22⋊C4—21no—
84C2×C11×C22⋊C4—21no—
85C2×C11×C22⋊C4—21no—
86C2×C11×C22⋊C4—21no—
87C2×C11×C22⋊C4—21no—
88C2×C11×C22⋊C4D411yescharacteristic
89C2×C11×C22⋊C4D411yescharacteristic
90C2×C42×C11—21no—
91C2×C42×C11C2311yescharacteristic
92C2×C22⋊Dic11—21no—
93C2×C22⋊Dic11—21no—
94D4×Dic11—44no—
95C2×C4⋊Dic11—22no—
96C2×C4⋊Dic11—22no—
97C2×C4⋊Dic11—21no—
98C2×C4⋊Dic11—21no—
99C2×C4⋊Dic11—21no—
100C2×C4⋊Dic11—21no—
101C2×C4⋊Dic11—41no—
102C2×C4⋊Dic11—41no—
103C2×C4⋊Dic11C2311yescharacteristic
104C2×C4⋊Dic11C2311yescharacteristic
105C2×C4⋊Dic11C2311yescharacteristic
106C2×C4⋊Dic11C2311yescharacteristic
107C2×C4×Dic11—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—
117#66896—22no—
118#66896—22no—
119#66896—22no—
120#66896—41no—
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#66871—22no—
131#66871—22no—
132#66871D414yescomplemented
133#26142—111nomaximal, Sylow
134C24×C11—21no—
135C24×C11C2×D411yescharacteristic
136C24×C11C2×D411yescharacteristic
137C2×D4×C11—22no—
138C2×D4×C11—22no—
139C2×D4×C11—22no—
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—42no—
147C2×D4×C11—42no—
148C2×D4×C11—42no—
149C2×D4×C11—81no—
150C2×D4×C11—81no—
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×C11C2×D411yescharacteristic
166C22×C4×C11C2×D411yescharacteristic
167C22×C4×C11C2×D411yescharacteristic
168C22×C4×C11C2×D411yescharacteristic
169C22×C4×C11#4112yes—
170C22×C4×C11#4112yes—
171C22×C4×C11C2411yescharacteristic
172C22×Dic11—21no—
173C22×Dic11—21no—
174C22×Dic11—21no—
175C22×Dic11—21no—
176C22×Dic11—42no—
177C22×Dic11—42no—
178C22×Dic11—42no—
179C22×Dic11—42no—
180C22×Dic11—81no—
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—81no—
189C11×C4⋊C4C2×D412yes—
190C11×C22⋊C4—22no—
191C11×C22⋊C4—22no—
192C11×C22⋊C4—42no—
193C11×C22⋊C4—42no—
194C11×C22⋊C4—42no—
195C11×C22⋊C4—42no—
196C11×C22⋊C4—81no—
197C11×C22⋊C4—81no—
198C42×C11—21no—
199C42×C11—21no—
200C42×C11—42no—
201C22⋊Dic11—42no—
202C22⋊Dic11—42no—
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⋊Dic11—42no—
212C4⋊Dic11—42no—
213C4⋊Dic11—81no—
214C4⋊Dic11C2×D412yes—
215C4×Dic11—42no—
216#4318—28no—
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—21no—
226C2×C11⋊C8—21no—
227C2×C11⋊C8C2×D412yes—
228C2×C11⋊C8#4112yes—
229C2×#480—111no—
230C2×#428—111no—
231#2414D1111yescharacteristic
232D4×C4⋊C4—111no—
233#2094—111no—
234#2083—111no—
235#2077—111no—
236#2033—111no—
237#1926—111no—
238#1921—111no—
239#1895—111no—
240#1874—111no—
241#1870—111no—
242#1854—111no—
243#1853—111no—
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—21no—
256C23×C11—41no—
257C23×C11—41no—
258C23×C11—41no—
259C23×C11—41no—
260C23×C11—41no—
261C23×C11—41no—
262C23×C11—41no—
263C23×C11#12312yes—
264C23×C11AGL(1,ℤ/8)12yes—
265C23×C11C22×D411yescharacteristic
266D4×C11—28no—
267D4×C11—41no—
268D4×C11—41no—
269D4×C11—41no—
270D4×C11—41no—
271D4×C11—84no—
272D4×C11—84no—
273C2×C4×C11—21no—
274C2×C4×C11—21no—
275C2×C4×C11—21no—
276C2×C4×C11—21no—
277C2×C4×C11—22no—
278C2×C4×C11—22no—
279C2×C4×C11—22no—
280C2×C4×C11—22no—
281C2×C4×C11—21no—
282C2×C4×C11—21no—
283C2×C4×C11—21no—
284C2×C4×C11—22no—
285C2×C4×C11—21no—
286C2×C4×C11—21no—
287C2×C4×C11—21no—
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—41no—
300C2×C4×C11#12312yes—
301C2×C4×C11#13712yes—
302C2×C4×C11C22×D411yescharacteristic
303C2×C4×C11C2×#4111yescharacteristic
304C2×C4×C11C2×#4111yescharacteristic
305C2×C4×C11C2×#4111yescharacteristic
306C2×C4×C11H(5,𝔽2)11yescharacteristic
307C2×C4×C112−1+411yescharacteristic
308C2×Dic11—22no—
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—41no—
320C2×Dic11—84no—
321C2×Dic11—84no—
322C11⋊C8—22no—
323C11⋊C8—22no—
324C11⋊C8—41no—
325C11⋊C8—41no—
326C22×M16—111no—
327C2×#121C2×D1111yescharacteristic
328C2×#121C2×D1111yescharacteristic
329C2×C4×D4—221no—
330C2×C4×D4C2×D1111yescharacteristic
331C2×#117C2×D1111yescharacteristic
332C22×C4⋊C4—111no—
333C22×C4⋊C4—111no—
334#480—224no—
335#428—224no—
336C2×#107—111no—
337C2×#107—111no—
338C2×#107—111no—
339C2×#106—111no—
340C2×#106—111no—
341C2×#106—111no—
342C2×#102—111no—
343C2×#102—111no—
344C2×#102—111no—
345C2×#102—111no—
346C2×C22⋊C8—111no—
347C2×C22⋊C8—111no—
348C2×C22⋊C8—111no—
349#394—21no—
350#392—21no—
351#390—21no—
352#390C2×D1111yescharacteristic
353#389—221no—
354#389C2×D1111yescharacteristic
355#388—21no—
356#385—221no—
357#385—221no—
358#384—111no—
359#380—111no—
360#380—111no—
361#380C2×D1111yescharacteristic
362C4×C4⋊C4—111no—
363#340—111no—
364#340—111no—
365#340—111no—
366#340—111no—
367#340—111no—
368#340—111no—
369#336—111no—
370#336—111no—
371C22×C11—22no—
372C22×C11—22no—
373C22×C11—22no—
374C22×C11—22no—
375C22×C11—22no—
376C22×C11—22no—
377C22×C11—41no—
378C22×C11—41no—
379C22×C11—41no—
380C22×C11—41no—
381C22×C11—41no—
382C22×C11—41no—
383C22×C11—41no—
384C22×C11—41no—
385C22×C11—81no—
386C22×C11—81no—
387C22×C11—81no—
388C22×C11—81no—
389C22×C11—81no—
390C22×C11—81no—
391C22×C11—81no—
392C22×C11C2×#12311yescharacteristic
393C22×C11D4211yescharacteristic
394C22×C11#54711yescharacteristic
395C22×C11C2×AGL(1,ℤ/8)11yescharacteristic
396C22×C11C2×#13711yescharacteristic
397C22×C11#57611yescharacteristic
398C22×C11#57711yescharacteristic
399C4×C11—22no—
400C4×C11—22no—
401C4×C11—41no—
402C4×C11—41no—
403C4×C11—42no—
404C4×C11—81no—
405C4×C11—81no—
406C4×C11#52511yescharacteristic
407C4×C11#53911yescharacteristic
408C4×C11#54811yescharacteristic
409C4×C11#55311yescharacteristic
410Dic11—42no—
411Dic11—81no—
412Dic11—81no—
413Dic11—81no—
414C22×D4—21no—
415C22×D4—21no—
416C22×D4C22⋊D1111yescharacteristic
417C22×D4C22×D1111yescharacteristic
418C23×C4—221no—
419C23×C4—221no—
420C23×C4C22×D1111yescharacteristic
421C23×C4C22×D1111yescharacteristic
422C2×M16—222no—
423C2×M16—222no—
424C2×M16—222no—
425C22×C8—111no—
426C22×C8—111no—
427C22×C8—111no—
428C22×C8—111no—
429#121—22no—
430#121—22no—
431#121—22no—
432#121—41no—
433C4×D4—22no—
434C4×D4—22no—
435C4×D4—444no—
436#117—22no—
437#117—41no—
438C2×C4⋊C4—21no—
439C2×C4⋊C4—111no—
440C2×C4⋊C4—111no—
441C2×C4⋊C4—111no—
442C2×C4⋊C4—111no—
443C2×C4⋊C4—222no—
444C2×C4⋊C4—222no—
445C2×C4⋊C4—221no—
446C2×C4⋊C4—221no—
447C2×C4⋊C4—221no—
448C2×C4⋊C4—221no—
449C2×C4⋊C4—441no—
450C2×C4⋊C4—441no—
451C2×C4⋊C4C22⋊D1111yescharacteristic
452C2×C4⋊C4C22×D1111yescharacteristic
453C2×C4⋊C4C22×D1111yescharacteristic
454C2×C4⋊C4C22×D1111yescharacteristic
455C2×C22⋊C4—21no—
456C2×C22⋊C4—21no—
457C2×C22⋊C4—21no—
458C2×C22⋊C4—21no—
459C2×C22⋊C4—21no—
460C2×C22⋊C4—21no—
461C2×C22⋊C4—221no—
462C2×C22⋊C4—221no—
463C2×C22⋊C4C22⋊D1111yescharacteristic
464C2×C22⋊C4C22⋊D1111yescharacteristic
465C2×C42—21no—
466C2×C42—221no—
467C2×C42C22×D1111yescharacteristic
468#107—114no—
469#107—222no—
470#107—222no—
471#106—222no—
472#106—222no—
473#106—441no—
474#102—222no—
475#102—222no—
476#102—222no—
477#102—441no—
478C22⋊C8—222no—
479C22⋊C8—222no—
480C22⋊C8—222no—
481#95—21no—
482#95—21no—
483#95—221no—
484#95—221no—
485#95—221no—
486C2×C11—42no—
487C2×C11—42no—
488C2×C11—161no—
489C2×C11#244311yescharacteristic
490C2×C11#309211yescharacteristic
491C2×C11#309611yescharacteristic
492C2×C11#326411yescharacteristic
493C2×C11#327811yescharacteristic
494C2×C11#334511yescharacteristic
495C2×C11#335711yescharacteristic
496C24—21no—
497C24C2×C22⋊D1111yescharacteristic
498C24C2×C22⋊D1111yescharacteristic
499C2×D4—22no—
500C2×D4—22no—
501C2×D4—22no—
502C2×D4—21no—
503C2×D4—21no—
504C2×D4—21no—
505C2×D4—21no—
506C2×D4—21no—
507C2×D4—21no—
508C2×D4—42no—
509C2×D4—42no—
510C2×D4—42no—
511C2×D4—81no—
512C2×D4—81no—
513C2×D4—81no—
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—21no—
526C22×C4—21no—
527C22×C4—221no—
528C22×C4—221no—
529C22×C4—221no—
530C22×C4—221no—
531C22×C4—442no—
532C22×C4—442no—
533C22×C4—442no—
534C22×C4—442no—
535C22×C4—881no—
536C22×C4—881no—
537C22×C4#434112yes—
538C22×C4#434112yes—
539C22×C4C2×C22⋊D1111yescharacteristic
540C22×C4C2×C22⋊D1111yescharacteristic
541C22×C4C2×C22⋊D1111yescharacteristic
542C22×C4C2×C22⋊D1111yescharacteristic
543C22×C4C23×D1111yescharacteristic
544M16—228no—
545C2×C8—112no—
546C2×C8—112no—
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—221no—
556C2×C8—221no—
557C4⋊C4—22no—
558C4⋊C4—21no—
559C4⋊C4—21no—
560C4⋊C4—21no—
561C4⋊C4—21no—
562C4⋊C4—21no—
563C4⋊C4—81no—
564C4⋊C4—112no—
565C4⋊C4—221no—
566C4⋊C4—221no—
567C4⋊C4—221no—
568C4⋊C4—221no—
569C4⋊C4—221no—
570C4⋊C4—221no—
571C4⋊C4—221no—
572C4⋊C4—442no—
573C4⋊C4—442no—
574C4⋊C4—442no—
575C4⋊C4—881no—
576C4⋊C4D4×D1112yes—
577C22⋊C4—22no—
578C22⋊C4—22no—
579C22⋊C4—42no—
580C22⋊C4—42no—
581C22⋊C4—42no—
582C22⋊C4—42no—
583C22⋊C4—81no—
584C22⋊C4—81no—
585C22⋊C4—442no—
586C22⋊C4—442no—
587C42—21no—
588C42—21no—
589C42—42no—
590C42—442no—
591C11#2614211yescharacteristic, complemented, Sylow
592C23—21no—
593C23—21no—
594C23—21no—
595C23—21no—
596C23—21no—
597C23—21no—
598C23—21no—
599C23—21no—
600C23—21no—
601C23—21no—
602C23—21no—
603C23—21no—
604C23—41no—
605C23—41no—
606C23—41no—
607C23—41no—
608C23—41no—
609C23—41no—
610C23—41no—
611C23#6698812yes—
612C23#6700212yes—
613C23C22×C22⋊D1111yescharacteristic
614D4—28no—
615D4—41no—
616D4—41no—
617D4—41no—
618D4—41no—
619D4—84no—
620D4—84no—
621C2×C4—21no—
622C2×C4—21no—
623C2×C4—21no—
624C2×C4—21no—
625C2×C4—22no—
626C2×C4—22no—
627C2×C4—22no—
628C2×C4—22no—
629C2×C4—21no—
630C2×C4—21no—
631C2×C4—22no—
632C2×C4—21no—
633C2×C4—21no—
634C2×C4—21no—
635C2×C4—21no—
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—41no—
647C2×C4—41no—
648C2×C4—222no—
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—441no—
659C2×C4—441no—
660C2×C4—884no—
661C2×C4—884no—
662C2×C4#6698812yes—
663C2×C4#6700412yes—
664C2×C4C2×D4×D1111yescharacteristic
665C2×C4C2×#434111yescharacteristic
666C2×C4C2×#434111yescharacteristic
667C2×C4#6703711yescharacteristic
668C2×C4#41×D1111yescharacteristic
669C2×C4#6704311yescharacteristic
670C8—222no—
671C8—222no—
672C8—441no—
673C8—441no—
674C22—22no—
675C22—22no—
676C22—22no—
677C22—22no—
678C22—22no—
679C22—22no—
680C22—41no—
681C22—41no—
682C22—41no—
683C22—41no—
684C22—41no—
685C22—41no—
686C22—41no—
687C22—41no—
688C22—81no—
689C22—81no—
690C22—81no—
691C22—81no—
692C22—81no—
693C22—81no—
694C22—81no—
695C22C2×#6698811yescharacteristic
696C22D4×C22⋊D1111yescharacteristic
697C22C2×#6700211yescharacteristic
698C22C2×#6700411yescharacteristic
699C22#1062335511yescharacteristic
700C22#1062336611yescharacteristic
701C22#1062336711yescharacteristic
702C4—22no—
703C4—22no—
704C4—42no—
705C4—41no—
706C4—41no—
707C4—81no—
708C4—81no—
709C4—442no—
710C4—881no—
711C4—881no—
712C4—881no—
713C4#1062312911yescharacteristic
714C4#1062313211yescharacteristic
715C4#1062313311yescharacteristic
716C4#1062313711yescharacteristic
717C2—42no—
718C2—42no—
719C2—161no—
720C2#1307234711yescharacteristic
721C2#1307853611yescharacteristic
722C2#1307856811yescharacteristic
723C2#1308009711yescharacteristic
724C2#1308028211yescharacteristic
725C2#1308108011yescharacteristic
726C2#1308123611yescharacteristic
subgroupG/H
centerC23C22×C22⋊D11
commutator, cosocleC22×C4×C11C24
FrattiniC22×C4C23×D11
Fitting, prime radicalC11×#2414C2
socleC23×C11C22×D4
hypercenter#2414D11
hypocenterC11#26142
LCSG ▷ C22×C4×C11 ▷ C2×C11 ▷ C11
UCSC1 ◁ C23 ◁ C2×C4×D4 ◁ #2414

Complements

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

NH ≅ G/Ntype
1. C2×#10622646C2semidirect
2. C2×#10622608C2semidirect
3. D4×C4⋊Dic11C2semidirect
4. #13070149C2semidirect
5. #13070087C2semidirect
6. #13070053C2semidirect
7. #13069795C2semidirect
8. #13069240C2semidirect
9. #13069205C2semidirect
10. #13069055C2semidirect
11. #13068934C2semidirect
12. #13068914C2semidirect
13. #13068815C2semidirect
14. #13068808C2semidirect
132. #66871D4semidirect
591. C11#26142semidirect

Maximal subgroups

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

subgroupindex
C2×#106226462
C2×#106226082
D4×C4⋊Dic112
#130701492
#130700872
#130700532
#130697952
#130692402
#130692052
#130690552
#130689342
#130689142
#130688152
#130688082
C11×#24142
#2614211