Finite Group Databasebeta

← #14764996

Subgroups — #14764996

Order 2816.

1000 conjugacy classes of subgroups.

The subgroup lattice has 726 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#10622660C211yesmaximal, characteristic
2#13071106C211yesmaximal, characteristic
3#13069500C211yesmaximal, characteristic, complemented
4#13069486C211yesmaximal, characteristic, complemented
5#13069312C211yesmaximal, characteristic, complemented
6#13069305C211yesmaximal, characteristic, complemented
7#13069257C211yesmaximal, characteristic, complemented
8#13069243C211yesmaximal, characteristic, complemented
9#13068971C211yesmaximal, characteristic, complemented
10#13068957C211yesmaximal, characteristic, complemented
11#13068929C211yesmaximal, characteristic, complemented
12#13068813C211yesmaximal, characteristic, complemented
13#13068554C211yesmaximal, characteristic
14#13068378C211yesmaximal, characteristic, complemented
15C4×C11×C22⋊Q8C211yesmaximal, characteristic, complemented
16C22×#4339C2211yescharacteristic
17C2×C11×C22⋊Q8C2211yescharacteristic
18C2×C4×Q8×C11C2211yescharacteristic
19C22×C42×C11C2211yescharacteristic
20C22×#4326C2211yescharacteristic
21C22×#4325C2211yescharacteristic
22C2×#66979C2211yescharacteristic
23C11×#391C2211yescharacteristic
24C11×#389C2211yescharacteristic
25C11×#387—21no—
26C11×#385—21no—
27C11×#380C2211yescharacteristic
28C4×C11×C4⋊C4—21no—
29C4×C11×C4⋊C4C2211yescharacteristic
30C4×C11×C22⋊C4—21no—
31C2×#66899C2211yescharacteristic
32C2×#66899C2211yescharacteristic
33#10622826—21no—
34#10622826—21no—
35C2×C22⋊(C11⋊C8)C2211yescharacteristic
36C2×C22⋊(C11⋊C8)C2211yescharacteristic
37#10622660C418yescomplemented
38C2×#66874C2211yescharacteristic
39C2×#66874C2211yescharacteristic
40C2×#66874C2211yescharacteristic
41C2×#66873C2211yescharacteristic
42C2×#66873C2211yescharacteristic
43C2×#66873C2211yescharacteristic
44C2×#66872C2211yescharacteristic
45C2×#66871C2211yescharacteristic
46#10622552C2211yescharacteristic
47#10622552C2211yescharacteristic
48C4×(C2×D11)⋊C4—21no—
49C4×(C2×D11)⋊C4—21no—
50#10622542C2211yescharacteristic
51#10622542C2211yescharacteristic
52C2×#66867C2211yescharacteristic
53C2×#66867C2211yescharacteristic
54#10622167C2211yescharacteristic
55#10622167C2211yescharacteristic
56#10622167C2211yescharacteristic
57#10622167C2211yescharacteristic
58#10622162C2211yescharacteristic
59#10622162C2211yescharacteristic
60C22×Q8×C11C2311yescharacteristic
61C23×C4×C11D411yescharacteristic
62C23×C4×C11D411yescharacteristic
63C23×C4×C11C2311yescharacteristic
64C22×C22⋊D11—21no—
65C2×#4339—22no—
66C2×#4339—41no—
67C2×#4339—41no—
68C2×#4339—41no—
69C2×#4339—41no—
70C2×#4339C2×C414yes—
71C22×D44C2311yescharacteristic
72C22×C4×D11—21no—
73C22×Dic22C2311yescharacteristic
74C11×C22⋊Q8—22no—
75C11×C22⋊Q8C2×C414yes—
76C4×Q8×C11—41no—
77C4×Q8×C11—41no—
78C2×C11×C4⋊C4—21no—
79C2×C11×C4⋊C4—21no—
80C2×C11×C4⋊C4—21no—
81C2×C11×C4⋊C4C2311yescharacteristic
82C2×C11×C4⋊C4C2311yescharacteristic
83C2×C11×C4⋊C4C2311yescharacteristic
84C2×C11×C22⋊C4—21no—
85C2×C11×C22⋊C4—21no—
86C2×C42×C11—21no—
87C2×C42×C11—21no—
88C2×C42×C11—41no—
89C2×C42×C11—41no—
90C2×C42×C11D411yescharacteristic
91C2×C42×C11D411yescharacteristic
92C2×C42×C11C2311yescharacteristic
93C2×C42×C11C2311yescharacteristic
94C2×C22⋊Dic11—21no—
95C2×#4326—41no—
96C2×#4326—41no—
97C2×#4326C2×C414yescomplemented
98C2×#4325—41no—
99C2×#4325—41no—
100C2×#4325C2×C414yescomplemented
101C2×(C2×D11)⋊C4—21no—
102C2×(C2×D11)⋊C4—21no—
103C2×(C2×D11)⋊C4—21no—
104C2×(C2×D11)⋊C4—21no—
105#66979—41no—
106#66979—41no—
107C2×C4⋊Dic11C2311yescharacteristic
108C2×C4⋊Dic11C2311yescharacteristic
109C2×C4×Dic11—21no—
110C22×C11⋊C8C2311yescharacteristic
111C22×C11⋊C8C2311yescharacteristic
112C22×C11⋊C8C2311yescharacteristic
113C22×C11⋊C8C2311yescharacteristic
114C11×#95—21no—
115C11×#95—21no—
116C11×#95—21no—
117C11×#95—21no—
118C11×#95—21no—
119#66899—41no—
120#66899—41no—
121C11⋊#95—21no—
122C11⋊#95—21no—
123C11⋊#95—21no—
124C11⋊#95—21no—
125C22⋊(C11⋊C8)—22no—
126C22⋊(C11⋊C8)C2×C414yes—
127#66874—41no—
128#66874—41no—
129#66874C2×C414yescomplemented
130#66873—41no—
131#66873—41no—
132#66873C2×C414yescomplemented
133#66872—41no—
134#66871—41no—
135#66867—41no—
136#66867—41no—
137#22048—111nomaximal, Sylow
138C24×C11C2×D411yescharacteristic
139C23×D11—21no—
140C2×Q8×C11—21no—
141C2×Q8×C11—21no—
142C2×Q8×C11—21no—
143C2×Q8×C11—21no—
144C2×Q8×C11—21no—
145C2×Q8×C11C22×C412yes—
146C22×C4×C11—21no—
147C22×C4×C11—21no—
148C22×C4×C11—21no—
149C22×C4×C11—21no—
150C22×C4×C11—21no—
151C22×C4×C11—21no—
152C22×C4×C11—22no—
153C22×C4×C11—21no—
154C22×C4×C11—21no—
155C22×C4×C11—41no—
156C22×C4×C11—41no—
157C22×C4×C11—41no—
158C22×C4×C11—41no—
159C22×C4×C11—41no—
160C22×C4×C11C22×C412yes—
161C22×C4×C11C2×D411yescharacteristic
162C22×C4×C11C2×D411yescharacteristic
163C22×C4×C11C2×D411yescharacteristic
164C22×C4×C11C2×D411yescharacteristic
165C22×C4×C11C2×D411yescharacteristic
166C22×C4×C11#4112yes—
167C22×C4×C11C2411yescharacteristic
168C2×C22⋊D11—24no—
169C2×C22⋊D11—42no—
170C2×C22⋊D11—42no—
171C22×Dic11—21no—
172C22×Dic11—21no—
173C22×Dic11—21no—
174#4339—44no—
175#4339—44no—
176#4339—44no—
177#4339—44no—
178C2×D44—21no—
179C2×D44—21no—
180C2×D44—21no—
181C2×D44—21no—
182C2×D44—21no—
183C2×D44C22×C412yes—
184C2×C4×D11—24no—
185C2×C4×D11—42no—
186C2×C4×D11—42no—
187C2×Dic22—21no—
188C2×Dic22—21no—
189C2×Dic22—21no—
190C2×Dic22—21no—
191C2×Dic22—21no—
192C2×Dic22C22×C412yes—
193C11×C4⋊C4—24no—
194C11×C4⋊C4—21no—
195C11×C4⋊C4—21no—
196C11×C4⋊C4—21no—
197C11×C4⋊C4—21no—
198C11×C4⋊C4—21no—
199C11×C4⋊C4—42no—
200C11×C4⋊C4—42no—
201C11×C4⋊C4C22×C412yes—
202C11×C22⋊C4—24no—
203C11×C22⋊C4—42no—
204C42×C11—21no—
205C42×C11—21no—
206C42×C11—21no—
207C42×C11—21no—
208C42×C11—41no—
209C42×C11—41no—
210C42×C11—42no—
211C42×C11—42no—
212C22⋊Dic11—42no—
213#4326—44no—
214#4325—44no—
215(C2×D11)⋊C4—42no—
216(C2×D11)⋊C4—42no—
217(C2×D11)⋊C4—42no—
218(C2×D11)⋊C4—42no—
219C4⋊Dic11—21no—
220C4⋊Dic11—21no—
221C4⋊Dic11—21no—
222C4⋊Dic11—21no—
223C4×Dic11—42no—
224C2×C11⋊C8—21no—
225C2×C11⋊C8—21no—
226C2×C11⋊C8—21no—
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×C11⋊C8—21no—
234C2×C11⋊C8C22×C412yes—
235C2×C11⋊C8C22×C412yes—
236C2×#452—111no—
237C4×C22⋊Q8D1111yescharacteristic, complemented
238#2297—111no—
239#1973—111no—
240#1971—111no—
241#1936—111no—
242#1935—111no—
243#1928—111no—
244#1926—111no—
245#1880—111no—
246#1878—111no—
247#1873—111no—
248#1854—111no—
249#1788—111no—
250#1749—111no—
251C23×C11—21no—
252C23×C11—21no—
253C23×C11—21no—
254C23×C11—21no—
255C23×C11—21no—
256C23×C11—21no—
257C23×C11C4×D412yes—
258C23×C11C22×D411yescharacteristic
259C22×D11—22no—
260C22×D11—41no—
261C22×D11—41no—
262C22×D11—41no—
263C22×D11—41no—
264C22×D11—41no—
265C22×D11—41no—
266Q8×C11—22no—
267Q8×C11—22no—
268Q8×C11—41no—
269Q8×C11—41no—
270C2×C4×C11—21no—
271C2×C4×C11—21no—
272C2×C4×C11—21no—
273C2×C4×C11—21no—
274C2×C4×C11—22no—
275C2×C4×C11—22no—
276C2×C4×C11—22no—
277C2×C4×C11—22no—
278C2×C4×C11—22no—
279C2×C4×C11—22no—
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—21no—
287C2×C4×C11—21no—
288C2×C4×C11—21no—
289C2×C4×C11—44no—
290C2×C4×C11—44no—
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—41no—
301C2×C4×C11C4×D412yes—
302C2×C4×C11#13712yes—
303C2×C4×C11C23×C411yescharacteristic
304C2×C4×C11C2×#4111yescharacteristic
305C2×C4×C11H(5,𝔽2)11yescharacteristic
306C2×C4×C11H(5,𝔽2)11yescharacteristic
307C2×C4×C11H(5,𝔽2)11yescharacteristic
308C2×C4×C11H(5,𝔽2)11yescharacteristic
309C22⋊D11—48no—
310C2×Dic11—22no—
311C2×Dic11—41no—
312C2×Dic11—41no—
313C2×Dic11—41no—
314C2×Dic11—41no—
315C2×Dic11—41no—
316C2×Dic11—41no—
317C2×Dic11—41no—
318C2×Dic11—41no—
319D44—22no—
320D44—22no—
321D44—41no—
322D44—41no—
323C4×D11—48no—
324Dic22—22no—
325Dic22—22no—
326Dic22—41no—
327Dic22—41no—
328C11⋊C8—22no—
329C11⋊C8—22no—
330C11⋊C8—41no—
331C11⋊C8—41no—
332C22×#41—111no—
333C22×Q16—111no—
334C22×SD16—111no—
335C2×C22⋊Q8C2×D1111yescharacteristic
336C2×C4×Q8C2×D1111yescharacteristic
337C2×#117—111no—
338C22×C42C2×D1111yescharacteristic
339#452—118no—
340C2×#107—111no—
341C2×#106—111no—
342C2×#103—111no—
343C2×#103—111no—
344C2×#103—111no—
345C2×#103—111no—
346C2×#103—111no—
347C2×#102—111no—
348C2×#102—111no—
349C2×#102—111no—
350C2×C22⋊C8—111no—
351C2×C22⋊C8—111no—
352C2×#97—111no—
353C2×#97—111no—
354#391—111no—
355#391—111no—
356#391C2×D1111yescharacteristic
357#390—111no—
358#390—111no—
359#389C2×D1111yescharacteristic
360#387—21no—
361#386—221no—
362#386—221no—
363#385—21no—
364#380C2×D1111yescharacteristic
365C4×C4⋊C4—21no—
366C4×C4⋊C4C2×D1111yescharacteristic
367C4×C22⋊C4—21no—
368C4×C22⋊C4—221no—
369C4×C22⋊C4—221no—
370#340—111no—
371#340—111no—
372#340—111no—
373#340—111no—
374#336—111no—
375#336—111no—
376C22×C11—22no—
377C22×C11—22no—
378C22×C11—22no—
379C22×C11—41no—
380C22×C11—41no—
381C22×C11—41no—
382C22×C11—41no—
383C22×C11C2×C4×D411yescharacteristic
384C22×C11#53411yescharacteristic
385C22×C11#53511yescharacteristic
386C22×C11C2×#13711yescharacteristic
387C22×C11#57511yescharacteristic
388C22×C11#57511yescharacteristic
389C22×C11#57511yescharacteristic
390C2×D11—42no—
391C2×D11—42no—
392C2×D11—42no—
393C2×D11—81no—
394C2×D11—81no—
395C2×D11—81no—
396C2×D11—81no—
397C4×C11—22no—
398C4×C11—22no—
399C4×C11—42no—
400C4×C11—41no—
401C4×C11—41no—
402C4×C11—41no—
403C4×C11—42no—
404C4×C11—81no—
405C4×C11—81no—
406C4×C11#51811yescharacteristic
407C4×C11#51811yescharacteristic
408C4×C11#53811yescharacteristic
409C4×C11#53811yescharacteristic
410Dic11—42no—
411Dic11—81no—
412Dic11—81no—
413C2×#41—114no—
414C2×#41—222no—
415C2×#41—441no—
416C2×#41—441no—
417C2×#41—441no—
418C2×#41—441no—
419C22×Q8—111no—
420C22×Q8C22×D1111yescharacteristic
421C22×D4—111no—
422C22×D4—221no—
423C23×C4—221no—
424C23×C4C22⋊D1111yescharacteristic
425C23×C4C22⋊D1111yescharacteristic
426C23×C4C22×D1111yescharacteristic
427C2×Q16—114no—
428C2×Q16—441no—
429C2×Q16—441no—
430C2×SD16—114no—
431C2×SD16—441no—
432C2×SD16—441no—
433C22×C8—111no—
434C22×C8—111no—
435C22×C8—111no—
436C22×C8—111no—
437C22⋊Q8—22no—
438C22⋊Q8C4×D1114yes—
439C4×Q8—41no—
440C4×Q8—41no—
441#117—441no—
442#117—441no—
443C2×C4⋊C4—21no—
444C2×C4⋊C4—21no—
445C2×C4⋊C4—21no—
446C2×C4⋊C4—111no—
447C2×C4⋊C4—111no—
448C2×C4⋊C4C22×D1111yescharacteristic
449C2×C4⋊C4C22×D1111yescharacteristic
450C2×C4⋊C4C22×D1111yescharacteristic
451C2×C22⋊C4—21no—
452C2×C22⋊C4—21no—
453C2×C22⋊C4—221no—
454C2×C22⋊C4—221no—
455C2×C22⋊C4—221no—
456C2×C22⋊C4—221no—
457C2×C22⋊C4—221no—
458C2×C42—21no—
459C2×C42—21no—
460C2×C42—41no—
461C2×C42—41no—
462C2×C42—221no—
463C2×C42C22⋊D1111yescharacteristic
464C2×C42C22⋊D1111yescharacteristic
465C2×C42C22×D1111yescharacteristic
466C2×C42C22×D1111yescharacteristic
467#107—441no—
468#106—441no—
469#103—114no—
470#103—441no—
471#103—441no—
472#103—441no—
473#103—441no—
474#102—114no—
475#102—441no—
476#102—441no—
477C22⋊C8—114no—
478C22⋊C8—222no—
479#97—441no—
480#97—441no—
481#95—21no—
482#95—21no—
483#95—21no—
484#95—21no—
485#95—21no—
486#95—221no—
487#95—221no—
488#95—221no—
489#95—221no—
490C2×C11—42no—
491C2×C11#232111yescharacteristic
492C2×C11#294311yescharacteristic
493C2×C11C4×#13711yescharacteristic
494C2×C11#319611yescharacteristic
495C2×C11#319711yescharacteristic
496C2×C11#321611yescharacteristic
497C2×C11#321911yescharacteristic
498D11—82no—
499C24—221no—
500C24C2×C22⋊D1111yescharacteristic
501#41—444no—
502#41—444no—
503#41—444no—
504#41—444no—
505C2×Q8—21no—
506C2×Q8—21no—
507C2×Q8—21no—
508C2×Q8—21no—
509C2×Q8—21no—
510C2×Q8—112no—
511C2×Q8—221no—
512C2×Q8—221no—
513C2×Q8—221no—
514C2×Q8—221no—
515C2×Q8—221no—
516C2×Q8C2×C4×D1112yes—
517C2×D4—112no—
518C2×D4—224no—
519C2×D4—221no—
520C2×D4—221no—
521C2×D4—221no—
522C2×D4—221no—
523C2×D4—221no—
524C2×D4—442no—
525C2×D4—442no—
526C22×C4—21no—
527C22×C4—21no—
528C22×C4—21no—
529C22×C4—21no—
530C22×C4—21no—
531C22×C4—21no—
532C22×C4—22no—
533C22×C4—21no—
534C22×C4—21no—
535C22×C4—41no—
536C22×C4—41no—
537C22×C4—41no—
538C22×C4—41no—
539C22×C4—41no—
540C22×C4—221no—
541C22×C4—224no—
542C22×C4—221no—
543C22×C4—221no—
544C22×C4—442no—
545C22×C4—442no—
546C22×C4C2×C4×D1112yes—
547C22×C4#433912yes—
548C22×C4C2×C22⋊D1111yescharacteristic
549C22×C4C2×C22⋊D1111yescharacteristic
550C22×C4C2×C22⋊D1111yescharacteristic
551C22×C4C2×C22⋊D1111yescharacteristic
552C22×C4C2×C22⋊D1111yescharacteristic
553C22×C4C23×D1111yescharacteristic
554Q16—444no—
555SD16—444no—
556C2×C8—112no—
557C2×C8—112no—
558C2×C8—221no—
559C2×C8—221no—
560C2×C8—221no—
561C2×C8—221no—
562C2×C8—221no—
563C2×C8—221no—
564C2×C8—221no—
565C2×C8—221no—
566C2×C8—221no—
567C2×C8—221no—
568C4⋊C4—24no—
569C4⋊C4—21no—
570C4⋊C4—21no—
571C4⋊C4—21no—
572C4⋊C4—21no—
573C4⋊C4—21no—
574C4⋊C4—42no—
575C4⋊C4—42no—
576C4⋊C4—221no—
577C4⋊C4—221no—
578C4⋊C4—221no—
579C4⋊C4—221no—
580C4⋊C4C2×C4×D1112yes—
581C22⋊C4—24no—
582C22⋊C4—42no—
583C22⋊C4—442no—
584C22⋊C4—442no—
585C22⋊C4—442no—
586C22⋊C4—442no—
587C22⋊C4—442no—
588C42—21no—
589C42—21no—
590C42—21no—
591C42—21no—
592C42—41no—
593C42—41no—
594C42—42no—
595C42—42no—
596C42—442no—
597C11#2204811yescharacteristic, complemented, Sylow
598C23—21no—
599C23—21no—
600C23—21no—
601C23—21no—
602C23—21no—
603C23—21no—
604C23—222no—
605C23—441no—
606C23—441no—
607C23—441no—
608C23—441no—
609C23—441no—
610C23—441no—
611C23C4×C22⋊D1112yes—
612C23C22×C22⋊D1111yescharacteristic
613Q8—22no—
614Q8—22no—
615Q8—41no—
616Q8—41no—
617Q8—222no—
618Q8—222no—
619Q8—441no—
620Q8—441no—
621D4—222no—
622D4—222no—
623D4—448no—
624D4—441no—
625D4—441no—
626C2×C4—21no—
627C2×C4—21no—
628C2×C4—21no—
629C2×C4—21no—
630C2×C4—22no—
631C2×C4—22no—
632C2×C4—22no—
633C2×C4—22no—
634C2×C4—22no—
635C2×C4—22no—
636C2×C4—21no—
637C2×C4—21no—
638C2×C4—21no—
639C2×C4—21no—
640C2×C4—21no—
641C2×C4—21no—
642C2×C4—21no—
643C2×C4—21no—
644C2×C4—21no—
645C2×C4—44no—
646C2×C4—44no—
647C2×C4—41no—
648C2×C4—41no—
649C2×C4—41no—
650C2×C4—41no—
651C2×C4—41no—
652C2×C4—41no—
653C2×C4—41no—
654C2×C4—41no—
655C2×C4—41no—
656C2×C4—41no—
657C2×C4—222no—
658C2×C4—448no—
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×C4C4×C22⋊D1112yes—
668C2×C4#6699512yes—
669C2×C4C22×C4×D1111yescharacteristic
670C2×C4C2×#433911yescharacteristic
671C2×C4#6703711yescharacteristic
672C2×C4#6703711yescharacteristic
673C2×C4#6704211yescharacteristic
674C2×C4#6704211yescharacteristic
675C8—222no—
676C8—222no—
677C8—441no—
678C8—441no—
679C22—22no—
680C22—22no—
681C22—22no—
682C22—41no—
683C22—41no—
684C22—41no—
685C22—41no—
686C22—442no—
687C22—442no—
688C22—442no—
689C22—881no—
690C22—881no—
691C22—881no—
692C22—881no—
693C22C2×C4×C22⋊D1111yescharacteristic
694C22#1062333511yescharacteristic
695C22C2×#6699511yescharacteristic
696C22#1062335311yescharacteristic
697C22#1062335311yescharacteristic
698C22#1062335311yescharacteristic
699C22#1062336111yescharacteristic
700C4—22no—
701C4—22no—
702C4—41no—
703C4—41no—
704C4—41no—
705C4—42no—
706C4—42no—
707C4—81no—
708C4—81no—
709C4—442no—
710C4—881no—
711C4—881no—
712C4#1062307611yescharacteristic
713C4#1062307611yescharacteristic
714C4#1062309111yescharacteristic
715C4#1062309111yescharacteristic
716C2—42no—
717C2—882no—
718C2#1307127011yescharacteristic
719C2#1307741411yescharacteristic
720C2C4×#6699511yescharacteristic
721C2#1307944611yescharacteristic
722C2#1307945311yescharacteristic
723C2#1307962311yescharacteristic
724C2#1307964911yescharacteristic
subgroupG/H
centerC23C22×C22⋊D11
commutatorC2×C4×C11C23×C4
FrattiniC22×C4C23×D11
FittingC4×C11×C22⋊Q8C2
socleC23×C11C22×D4
prime radicalC22×#4339C22
cosocleC22×C4×C11C24
hypercenterC4×C22⋊Q8D11
hypocenterC11#22048
LCSG ▷ C2×C4×C11 ▷ C2×C11 ▷ C11
UCSC1 ◁ C23 ◁ C22×C42 ◁ C4×C22⋊Q8

Complements

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

NH ≅ G/Ntype
3. #13069500C2semidirect
4. #13069486C2semidirect
5. #13069312C2semidirect
6. #13069305C2semidirect
7. #13069257C2semidirect
8. #13069243C2semidirect
9. #13068971C2semidirect
10. #13068957C2semidirect
11. #13068929C2semidirect
12. #13068813C2semidirect
14. #13068378C2semidirect
15. C4×C11×C22⋊Q8C2semidirect
37. #10622660C4semidirect
97. C2×#4326C2×C4semidirect
100. C2×#4325C2×C4semidirect
129. #66874C2×C4semidirect
132. #66873C2×C4semidirect
237. C4×C22⋊Q8D11semidirect
597. C11#22048semidirect

Maximal subgroups

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

subgroupindex
C2×#106226602
#130711062
#130695002
#130694862
#130693122
#130693052
#130692572
#130692432
#130689712
#130689572
#130689292
#130688132
#130685542
#130683782
C4×C11×C22⋊Q82
#2204811