Finite Group Databasebeta

← #14804458

Subgroups — #14804458

Order 2816.

980 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×#10622673C211yesmaximal, characteristic
2C2×#10622667C211yesmaximal, characteristic
3C2×#10622644C211yesmaximal, characteristic, complemented
4C2×#10622632C211yesmaximal, characteristic
5#13073604C211yesmaximal, characteristic, complemented
6#13069938C211yesmaximal, characteristic, complemented
7#13069933C211yesmaximal, characteristic
8#13069715C211yesmaximal, characteristic, complemented
9#13069698C211yesmaximal, characteristic
10#13069539C211yesmaximal, characteristic, complemented
11#13069340C211yesmaximal, characteristic, complemented
12#13068957C211yesmaximal, characteristic, complemented
13#13068950C211yesmaximal, characteristic
14#13068449C211yesmaximal, characteristic, complemented
15C11×#2367C211yesmaximal, characteristic
16C2×C11×#124C2211yescharacteristic
17C2×C4×Q8×C11C2211yescharacteristic
18C2×C4×D4×C11C2211yescharacteristic
19C22×#4326C2211yescharacteristic
20C22×#4326C2211yescharacteristic
21C22×#4326C2211yescharacteristic
22C22×#4324C2211yescharacteristic
23C22×#4324C2211yescharacteristic
24C22×#4324C2211yescharacteristic
25C2×#66922C2211yescharacteristic
26C2×#66922C2211yescharacteristic
27C2×#66922C2211yescharacteristic
28C2×C4×Dic22C2211yescharacteristic
29C11×#391C2211yescharacteristic
30C11×#390C2211yescharacteristic
31C11×#388—21no—
32C11×#388—21no—
33C11×#385—21no—
34C4×C11×C4⋊C4C2211yescharacteristic
35C4×C11×C4⋊C4C2211yescharacteristic
36C4×C11×C22⋊C4—21no—
37C2×#66899C2211yescharacteristic
38C2×#66896C2211yescharacteristic
39#10622673—24no—
40#10622667—24no—
41#10622644—24no—
42#10622632—24no—
43#10622598—21no—
44#10622598—21no—
45C2×#66874C2211yescharacteristic
46C2×#66874C2211yescharacteristic
47C2×#66874C2211yescharacteristic
48C2×#66874C2211yescharacteristic
49C2×#66874C2211yescharacteristic
50C2×#66874C2211yescharacteristic
51#10622542C2211yescharacteristic
52#10622542C2211yescharacteristic
53C2×C4⋊(C11⋊C8)C2211yescharacteristic
54C2×C4⋊(C11⋊C8)C2211yescharacteristic
55C2×C4⋊(C11⋊C8)C2211yescharacteristic
56C2×#66867C2211yescharacteristic
57#10622274—21no—
58#10622274—21no—
59#10622167C2211yescharacteristic
60#10622167C2211yescharacteristic
61#10622162C2211yescharacteristic
62#10622162C2211yescharacteristic
63C22×Q8×C11C2311yescharacteristic
64C22×D4×C11C2311yescharacteristic
65C23×C4×C11—21no—
66C22×Dic22C2311yescharacteristic
67C22×Dic22C2311yescharacteristic
68C22×Dic22C2311yescharacteristic
69C11×#124—22no—
70C11×#124D414yes—
71C4×Q8×C11—22no—
72C4×Q8×C11—41no—
73C4×D4×C11—22no—
74C4×D4×C11—41no—
75C2×C11×C4⋊C4—21no—
76C2×C11×C4⋊C4D411yescharacteristic
77C2×C11×C4⋊C4D411yescharacteristic
78C2×C11×C4⋊C4C2311yescharacteristic
79C2×C11×C4⋊C4C2311yescharacteristic
80C2×C11×C22⋊C4—21no—
81C2×C11×C22⋊C4—21no—
82C2×C11×C22⋊C4—21no—
83C2×C11×C22⋊C4—21no—
84C2×C11×C22⋊C4—21no—
85C2×C42×C11—21no—
86C2×C42×C11—21no—
87C2×C42×C11C2311yescharacteristic
88C2×C42×C11C2311yescharacteristic
89C2×C42×C11C2311yescharacteristic
90C2×#4326—22no—
91C2×#4326—22no—
92C2×#4326—22no—
93C2×#4326—22no—
94C2×#4326—22no—
95C2×#4326—22no—
96C2×#4326—41no—
97C2×#4326—41no—
98C2×#4326—41no—
99C2×#4324—22no—
100C2×#4324—22no—
101C2×#4324—22no—
102C2×#4324—22no—
103C2×#4324—22no—
104C2×#4324—22no—
105C2×#4324—41no—
106C2×#4324—41no—
107C2×#4324—41no—
108C2×C4⋊Dic11—21no—
109C2×C4⋊Dic11—21no—
110C2×C4⋊Dic11—21no—
111C2×C4⋊Dic11—21no—
112C2×C4⋊Dic11—21no—
113C2×C4⋊Dic11—21no—
114C2×C4⋊Dic11C2311yescharacteristic
115C2×Dic11⋊C4—21no—
116C2×C4×Dic11—21no—
117C22×C11⋊C8C2311yescharacteristic
118C22×C11⋊C8C2311yescharacteristic
119C22×C11⋊C8C2311yescharacteristic
120C22×C11⋊C8C2311yescharacteristic
121#66922—22no—
122#66922—22no—
123#66922—22no—
124#66922—22no—
125#66922—41no—
126#66922—41no—
127C4×Dic22—22no—
128C4×Dic22—22no—
129C11×#95—21no—
130C11×#95—21no—
131C11×#95—21no—
132C11×#95D411yescharacteristic
133C11×#95D411yescharacteristic
134#66899—22no—
135#66896—22no—
136C11⋊#95—21no—
137C11⋊#95—21no—
138C11⋊#95—21no—
139C11⋊#95—21no—
140#66874—22no—
141#66874—22no—
142#66874—22no—
143#66874—41no—
144#66874—41no—
145#66874D414yes—
146C4⋊(C11⋊C8)—22no—
147C4⋊(C11⋊C8)—22no—
148C4⋊(C11⋊C8)—22no—
149#66867—22no—
150#25382—111nomaximal, Sylow
151C24×C11—21no—
152C2×Q8×C11—21no—
153C2×Q8×C11—21no—
154C2×Q8×C11—21no—
155C2×Q8×C11—21no—
156C2×Q8×C11—21no—
157C2×Q8×C11C2×D412yes—
158C2×D4×C11—21no—
159C2×D4×C11—21no—
160C2×D4×C11—21no—
161C2×D4×C11—21no—
162C2×D4×C11—21no—
163C2×D4×C11C2×D412yes—
164C22×C4×C11—21no—
165C22×C4×C11—21no—
166C22×C4×C11—21no—
167C22×C4×C11—42no—
168C22×C4×C11—42no—
169C22×C4×C11—81no—
170C22×C4×C11C2×D411yescharacteristic
171C22×C4×C11C2×D411yescharacteristic
172C22×C4×C11C2×D411yescharacteristic
173C22×C4×C11C2×D411yescharacteristic
174C22×C4×C11C2×D411yescharacteristic
175C22×C4×C11C2×D411yescharacteristic
176C22×C4×C11C2411yescharacteristic
177C22×Dic11—21no—
178C22×Dic11—21no—
179C22×Dic11—21no—
180C22×Dic11—21no—
181C2×Dic22—21no—
182C2×Dic22—21no—
183C2×Dic22—21no—
184C2×Dic22—21no—
185C2×Dic22—21no—
186C2×Dic22—21no—
187C2×Dic22—21no—
188C2×Dic22—21no—
189C2×Dic22—21no—
190C2×Dic22—21no—
191C2×Dic22—21no—
192C2×Dic22—21no—
193C2×Dic22—21no—
194C2×Dic22—21no—
195C2×Dic22—21no—
196C2×Dic22—21no—
197C2×Dic22—21no—
198C2×Dic22C2×D412yes—
199C11×C4⋊C4—22no—
200C11×C4⋊C4—22no—
201C11×C4⋊C4—21no—
202C11×C4⋊C4—21no—
203C11×C4⋊C4—21no—
204C11×C4⋊C4—42no—
205C11×C4⋊C4C2×D412yes—
206C11×C22⋊C4—24no—
207C11×C22⋊C4—24no—
208C11×C22⋊C4—42no—
209C11×C22⋊C4—42no—
210C11×C22⋊C4—81no—
211C42×C11—21no—
212C42×C11—21no—
213C42×C11—21no—
214C42×C11—21no—
215C42×C11—42no—
216C42×C11—81no—
217C42×C11C2×D412yes—
218C42×C11#4112yes—
219#4326—44no—
220#4326—44no—
221#4326—44no—
222#4324—44no—
223#4324—44no—
224#4324—44no—
225C4⋊Dic11—21no—
226C4⋊Dic11—21no—
227C4⋊Dic11—42no—
228C4⋊Dic11—42no—
229C4⋊Dic11—42no—
230C4⋊Dic11—42no—
231C4⋊Dic11—42no—
232C4⋊Dic11—42no—
233Dic11⋊C4—42no—
234C4×Dic11—42no—
235C2×C11⋊C8—21no—
236C2×C11⋊C8—21no—
237C2×C11⋊C8—21no—
238C2×C11⋊C8—21no—
239C2×C11⋊C8—21no—
240C2×C11⋊C8—21no—
241C2×C11⋊C8—21no—
242C2×C11⋊C8—21no—
243C2×C11⋊C8—21no—
244C2×C11⋊C8—21no—
245C2×C11⋊C8C2×D412yes—
246C2×C11⋊C8#4112yes—
247C2×#497—111no—
248C2×#464—111no—
249C2×#462—111no—
250C2×#461—111no—
251#2546—111no—
252#2367D1111yescharacteristic
253#2056—111no—
254#2055—111no—
255#2016—111no—
256#2013—111no—
257#1981—111no—
258#1940—111no—
259#1878—111no—
260#1877—111no—
261#1763—111no—
262C23×C11—22no—
263C23×C11—41no—
264C23×C11—41no—
265C23×C11—41no—
266C23×C11—41no—
267C23×C11—41no—
268C23×C11—41no—
269C23×C11C22×D411yescharacteristic
270Q8×C11—22no—
271Q8×C11—22no—
272Q8×C11—41no—
273Q8×C11—41no—
274D4×C11—22no—
275D4×C11—22no—
276D4×C11—41no—
277D4×C11—41no—
278C2×C4×C11—21no—
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—22no—
287C2×C4×C11—21no—
288C2×C4×C11—21no—
289C2×C4×C11—22no—
290C2×C4×C11—21no—
291C2×C4×C11—21no—
292C2×C4×C11—21no—
293C2×C4×C11—21no—
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—41no—
301C2×C4×C11—84no—
302C2×C4×C11#12112yes—
303C2×C4×C11#12112yes—
304C2×C4×C11#13712yes—
305C2×C4×C11#13712yes—
306C2×C4×C11C22×D411yescharacteristic
307C2×C4×C11C22×D411yescharacteristic
308C2×C4×C11C2×#4111yescharacteristic
309C2×C4×C11C2×#4111yescharacteristic
310C2×C4×C11H(5,𝔽2)11yescharacteristic
311C2×C4×C11H(5,𝔽2)11yescharacteristic
312C2×Dic11—22no—
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—41no—
322C2×Dic11—41no—
323C2×Dic11—41no—
324Dic22—22no—
325Dic22—22no—
326Dic22—41no—
327Dic22—41no—
328Dic22—41no—
329Dic22—41no—
330Dic22—41no—
331Dic22—41no—
332Dic22—41no—
333Dic22—41no—
334Dic22—41no—
335Dic22—41no—
336C11⋊C8—22no—
337C11⋊C8—22no—
338C11⋊C8—41no—
339C11⋊C8—41no—
340C22×Q16—111no—
341C22×Q16—111no—
342C22×Q16—111no—
343C22×SD16—111no—
344C22×SD16—111no—
345C22×SD16—111no—
346C2×C4⋊Q8—111no—
347C2×C4⋊Q8—111no—
348C2×C4⋊Q8—111no—
349C2×#124C2×D1111yescharacteristic
350C2×C4×Q8—111no—
351C2×C4×Q8C2×D1111yescharacteristic
352C2×C4×D4C2×D1111yescharacteristic
353#497—224no—
354#464—224no—
355#462—224no—
356#461—224no—
357C2×C4⋊C8—111no—
358C2×C4⋊C8—111no—
359C2×C4⋊C8—111no—
360C2×#103—111no—
361C2×#103—111no—
362C2×#103—111no—
363C2×#103—111no—
364C2×#103—111no—
365C2×#103—111no—
366C2×#103—111no—
367C2×#102—111no—
368C2×#97—111no—
369#398—221no—
370#398—221no—
371#391—111no—
372#391—111no—
373#391C2×D1111yescharacteristic
374#390C2×D1111yescharacteristic
375#389—221no—
376#389—221no—
377#388—21no—
378#388—21no—
379#385—21no—
380C4×C4⋊C4C2×D1111yescharacteristic
381C4×C4⋊C4C2×D1111yescharacteristic
382C4×C22⋊C4—21no—
383#340—111no—
384#340—111no—
385#336—111no—
386#336—111no—
387C22×C11—42no—
388C22×C11—42no—
389C22×C11—42no—
390C22×C11—81no—
391C22×C11—81no—
392C22×C11—81no—
393C22×C11—81no—
394C22×C11C2×#12111yescharacteristic
395C22×C11D4211yescharacteristic
396C22×C11#55011yescharacteristic
397C22×C11C2×#13711yescharacteristic
398C22×C11C2×#13711yescharacteristic
399C22×C11#57711yescharacteristic
400C22×C11#57811yescharacteristic
401C4×C11—22no—
402C4×C11—22no—
403C4×C11—22no—
404C4×C11—22no—
405C4×C11—42no—
406C4×C11—41no—
407C4×C11—42no—
408C4×C11—41no—
409C4×C11—81no—
410C4×C11#53211yescharacteristic
411C4×C11#54011yescharacteristic
412C4×C11D4211yescharacteristic
413C4×C11#54611yescharacteristic
414Dic11—42no—
415Dic11—81no—
416Dic11—81no—
417Dic11—81no—
418C22×Q8—111no—
419C22×Q8—111no—
420C22×Q8—111no—
421C22×Q8C22×D1111yescharacteristic
422C22×D4C22×D1111yescharacteristic
423C23×C4—21no—
424C2×Q16—222no—
425C2×Q16—222no—
426C2×Q16—222no—
427C2×Q16—222no—
428C2×Q16—222no—
429C2×Q16—222no—
430C2×Q16—441no—
431C2×Q16—441no—
432C2×Q16—441no—
433C2×SD16—222no—
434C2×SD16—222no—
435C2×SD16—222no—
436C2×SD16—222no—
437C2×SD16—222no—
438C2×SD16—222no—
439C2×SD16—441no—
440C2×SD16—441no—
441C2×SD16—441no—
442C22×C8—111no—
443C22×C8—111no—
444C22×C8—111no—
445C22×C8—111no—
446C4⋊Q8—222no—
447C4⋊Q8—222no—
448C4⋊Q8—222no—
449C4⋊Q8—222no—
450C4⋊Q8—441no—
451C4⋊Q8—441no—
452#124—22no—
453#124D4414yes—
454C4×Q8—22no—
455C4×Q8—41no—
456C4×Q8—222no—
457C4×Q8—222no—
458C4×D4—22no—
459C4×D4—41no—
460C2×C4⋊C4—21no—
461C2×C4⋊C4—111no—
462C2×C4⋊C4—221no—
463C2×C4⋊C4—221no—
464C2×C4⋊C4—221no—
465C2×C4⋊C4—221no—
466C2×C4⋊C4—221no—
467C2×C4⋊C4—221no—
468C2×C4⋊C4—221no—
469C2×C4⋊C4C22⋊D1111yescharacteristic
470C2×C4⋊C4C22⋊D1111yescharacteristic
471C2×C4⋊C4C22×D1111yescharacteristic
472C2×C4⋊C4C22×D1111yescharacteristic
473C2×C22⋊C4—21no—
474C2×C22⋊C4—21no—
475C2×C22⋊C4—21no—
476C2×C22⋊C4—21no—
477C2×C22⋊C4—21no—
478C2×C42—21no—
479C2×C42—21no—
480C2×C42—221no—
481C2×C42C22×D1111yescharacteristic
482C2×C42C22×D1111yescharacteristic
483C2×C42C22×D1111yescharacteristic
484C4⋊C8—222no—
485C4⋊C8—222no—
486C4⋊C8—222no—
487#103—114no—
488#103—222no—
489#103—222no—
490#103—222no—
491#103—222no—
492#103—441no—
493#103—441no—
494#102—222no—
495#97—222no—
496#95—21no—
497#95—21no—
498#95—21no—
499#95—221no—
500#95—221no—
501#95—221no—
502#95—221no—
503#95C22⋊D1111yescharacteristic
504#95C22⋊D1111yescharacteristic
505C2×C11—82no—
506C2×C11#242811yescharacteristic
507C2×C11#303911yescharacteristic
508C2×C11#304611yescharacteristic
509C2×C11#326611yescharacteristic
510C2×C11#327011yescharacteristic
511C2×C11#339811yescharacteristic
512C2×C11#340011yescharacteristic
513C24—21no—
514C2×Q8—21no—
515C2×Q8—21no—
516C2×Q8—21no—
517C2×Q8—21no—
518C2×Q8—21no—
519C2×Q8—112no—
520C2×Q8—221no—
521C2×Q8—221no—
522C2×Q8—221no—
523C2×Q8—221no—
524C2×Q8—221no—
525C2×Q8—221no—
526C2×Q8—221no—
527C2×Q8—221no—
528C2×Q8—221no—
529C2×Q8—221no—
530C2×Q8—221no—
531C2×Q8—221no—
532C2×Q8—221no—
533C2×Q8—221no—
534C2×Q8—221no—
535C2×Q8—221no—
536C2×Q8—221no—
537C2×Q8C2×D4412yes—
538C2×D4—21no—
539C2×D4—21no—
540C2×D4—21no—
541C2×D4—21no—
542C2×D4—21no—
543C2×D4C2×D4412yes—
544C22×C4—21no—
545C22×C4—21no—
546C22×C4—21no—
547C22×C4—42no—
548C22×C4—42no—
549C22×C4—81no—
550C22×C4—221no—
551C22×C4—221no—
552C22×C4—221no—
553C22×C4—221no—
554C22×C4C2×C22⋊D1111yescharacteristic
555C22×C4C2×C22⋊D1111yescharacteristic
556C22×C4C2×C22⋊D1111yescharacteristic
557C22×C4C2×C22⋊D1111yescharacteristic
558C22×C4C2×C22⋊D1111yescharacteristic
559C22×C4C2×C22⋊D1111yescharacteristic
560C22×C4C23×D1111yescharacteristic
561Q16—444no—
562Q16—444no—
563Q16—444no—
564SD16—444no—
565SD16—444no—
566SD16—444no—
567C2×C8—112no—
568C2×C8—112no—
569C2×C8—221no—
570C2×C8—221no—
571C2×C8—221no—
572C2×C8—221no—
573C2×C8—221no—
574C2×C8—221no—
575C2×C8—221no—
576C2×C8—221no—
577C2×C8—221no—
578C2×C8—221no—
579C4⋊C4—22no—
580C4⋊C4—22no—
581C4⋊C4—21no—
582C4⋊C4—21no—
583C4⋊C4—21no—
584C4⋊C4—42no—
585C4⋊C4—221no—
586C4⋊C4—221no—
587C4⋊C4—442no—
588C4⋊C4—442no—
589C4⋊C4—442no—
590C4⋊C4—442no—
591C4⋊C4—442no—
592C4⋊C4—442no—
593C4⋊C4—442no—
594C4⋊C4D4×D1112yes—
595C22⋊C4—24no—
596C22⋊C4—24no—
597C22⋊C4—42no—
598C22⋊C4—42no—
599C22⋊C4—81no—
600C42—21no—
601C42—21no—
602C42—21no—
603C42—21no—
604C42—42no—
605C42—81no—
606C42—442no—
607C42C2×D4412yes—
608C42#433912yes—
609C11#2538211yescharacteristic, complemented, Sylow
610C23—22no—
611C23—41no—
612C23—41no—
613C23—41no—
614C23—41no—
615C23—41no—
616C23—41no—
617C23C22×C22⋊D1111yescharacteristic
618Q8—22no—
619Q8—22no—
620Q8—41no—
621Q8—41no—
622Q8—222no—
623Q8—222no—
624Q8—441no—
625Q8—441no—
626Q8—441no—
627Q8—441no—
628Q8—441no—
629Q8—441no—
630Q8—441no—
631Q8—441no—
632Q8—441no—
633Q8—441no—
634D4—22no—
635D4—22no—
636D4—41no—
637D4—41no—
638C2×C4—21no—
639C2×C4—21no—
640C2×C4—21no—
641C2×C4—21no—
642C2×C4—21no—
643C2×C4—21no—
644C2×C4—21no—
645C2×C4—21no—
646C2×C4—22no—
647C2×C4—21no—
648C2×C4—21no—
649C2×C4—22no—
650C2×C4—21no—
651C2×C4—21no—
652C2×C4—21no—
653C2×C4—21no—
654C2×C4—41no—
655C2×C4—41no—
656C2×C4—41no—
657C2×C4—41no—
658C2×C4—41no—
659C2×C4—41no—
660C2×C4—41no—
661C2×C4—84no—
662C2×C4—222no—
663C2×C4—441no—
664C2×C4—441no—
665C2×C4—441no—
666C2×C4—441no—
667C2×C4—441no—
668C2×C4—441no—
669C2×C4—441no—
670C2×C4—441no—
671C2×C4—441no—
672C2×C4—441no—
673C2×C4—441no—
674C2×C4#6698312yes—
675C2×C4#6698312yes—
676C2×C4#6700412yes—
677C2×C4#6700412yes—
678C2×C4C22×D4411yescharacteristic
679C2×C4C2×#433911yescharacteristic
680C2×C4C2×D4×D1111yescharacteristic
681C2×C4#6703711yescharacteristic
682C2×C4#41×D1111yescharacteristic
683C2×C4#6704211yescharacteristic
684C8—222no—
685C8—222no—
686C8—441no—
687C8—441no—
688C22—42no—
689C22—42no—
690C22—42no—
691C22—81no—
692C22—81no—
693C22—81no—
694C22—81no—
695C22C2×#6698311yescharacteristic
696C22D4×C22⋊D1111yescharacteristic
697C22C2×#6700411yescharacteristic
698C22C2×#6700411yescharacteristic
699C22#1062336511yescharacteristic
700C22#1062336711yescharacteristic
701C22#1062336911yescharacteristic
702C4—22no—
703C4—22no—
704C4—22no—
705C4—22no—
706C4—41no—
707C4—42no—
708C4—42no—
709C4—41no—
710C4—81no—
711C4—442no—
712C4—881no—
713C4—881no—
714C4—881no—
715C4#1062307911yescharacteristic
716C4D4×D4411yescharacteristic
717C4#1062308511yescharacteristic
718C4#1062309311yescharacteristic
719C2—82no—
720C2#1307219811yescharacteristic
721C2#1307810311yescharacteristic
722C2#1307816611yescharacteristic
723C2#1308012211yescharacteristic
724C2#1308018211yescharacteristic
725C2#1308164711yescharacteristic
726C2#1308166911yescharacteristic
subgroupG/H
centerC23C22×C22⋊D11
commutator, cosocleC22×C4×C11C24
FrattiniC22×C4C23×D11
FittingC11×#2367C2
socleC23×C11C22×D4
prime radicalC22×D4×C11C23
hypercenter#2367D11
hypocenterC11#25382
LCSG ▷ C22×C4×C11 ▷ C2×C11 ▷ C11
UCSC1 ◁ C23 ◁ C4×C4⋊C4 ◁ #2367

Complements

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

NH ≅ G/Ntype
3. C2×#10622644C2semidirect
5. #13073604C2semidirect
6. #13069938C2semidirect
8. #13069715C2semidirect
10. #13069539C2semidirect
11. #13069340C2semidirect
12. #13068957C2semidirect
14. #13068449C2semidirect
609. C11#25382semidirect

Maximal subgroups

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

subgroupindex
C2×#106226732
C2×#106226672
C2×#106226442
C2×#106226322
#130736042
#130699382
#130699332
#130697152
#130696982
#130695392
#130693402
#130689572
#130689502
#130684492
C11×#23672
#2538211