Finite Group Databasebeta

← #14796167

Subgroups — #14796167

Order 2816.

956 conjugacy classes of subgroups.

The subgroup lattice has 724 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#10622802C211yesmaximal, characteristic, complemented
2C2×#10622741C211yesmaximal, characteristic
3C2×#10622734C211yesmaximal, characteristic, complemented
4#13072068C211yesmaximal, characteristic
5#13072046C211yesmaximal, characteristic
6#13070009C211yesmaximal, characteristic, complemented
7#13069995C211yesmaximal, characteristic, complemented
8#13069818C211yesmaximal, characteristic, complemented
9#13069811C211yesmaximal, characteristic, complemented
10#13069478C211yesmaximal, characteristic, complemented
11#13069342C211yesmaximal, characteristic, complemented
12#13068929C211yesmaximal, characteristic, complemented
13#13068924C211yesmaximal, characteristic, complemented
14#13068646C211yesmaximal, characteristic, complemented
15C2×C11×#470C211yesmaximal, characteristic, complemented
16C22×C11×Q16C2211yescharacteristic
17C22×C11×M16C2211yescharacteristic
18C2×C11×C22⋊Q8C2211yescharacteristic
19C2×C11×C22⋊Q8C2211yescharacteristic
20C2×#66999C2211yescharacteristic
21C2×#66999C2211yescharacteristic
22C2×C4×C22⋊D11C2211yescharacteristic
23C2×#66979C2211yescharacteristic
24C22×C4⋊Dic11C2211yescharacteristic
25C22×#4313C2211yescharacteristic
26C11×#470—24no—
27C2×C11×#106C2211yescharacteristic
28C2×C11×#103C2211yescharacteristic
29C2×C11×#103C2211yescharacteristic
30#10622843C2211yescharacteristic
31#10622843C2211yescharacteristic
32C2×#66899C2211yescharacteristic
33C2×#66899C2211yescharacteristic
34C2×#66899C2211yescharacteristic
35C2×#66899C2211yescharacteristic
36C2×C22⋊(C11⋊C8)C2211yescharacteristic
37#10622802—24no—
38#10622741—24no—
39#10622734—24no—
40C2×(C2×D11)⋊C8C2211yescharacteristic
41C2×#66882C2211yescharacteristic
42C2×#66882C2211yescharacteristic
43C2×#66881C2211yescharacteristic
44C2×#66881C2211yescharacteristic
45C2×Dic11⋊C8C2211yescharacteristic
46C2×C8×Dic11C2211yescharacteristic
47#10622607—21no—
48#10622603—21no—
49#10622600C2211yescharacteristic
50#10622600C2211yescharacteristic
51#10622597—21no—
52#10622586C2211yescharacteristic
53#10622586C2211yescharacteristic
54#10622585—21no—
55#10622572—21no—
56#10622571—21no—
57#10622565—21no—
58#10622555—21no—
59#10622167C2211yescharacteristic
60#10622167C2211yescharacteristic
61#10622167C2211yescharacteristic
62#10622167C2211yescharacteristic
63C22×Q8×C11C2311yescharacteristic
64C22×Q8×C11C2311yescharacteristic
65C23×C4×C11C2311yescharacteristic
66C22×C22⋊D11D411yescharacteristic
67C23×Dic11—21no—
68C22×C4×D11C2311yescharacteristic
69C2×C11×Q16—22no—
70C2×C11×Q16—22no—
71C2×C11×Q16—22no—
72C2×C11×M16—22no—
73C2×C11×M16—22no—
74C2×C11×M16D414yes—
75C22×C8×C11C2311yescharacteristic
76C22×C8×C11C2311yescharacteristic
77C11×C22⋊Q8—22no—
78C11×C22⋊Q8—22no—
79C11×C22⋊Q8—22no—
80C11×C22⋊Q8—22no—
81C2×C11×C4⋊C4—21no—
82C2×C11×C4⋊C4—21no—
83C2×C11×C4⋊C4C2311yescharacteristic
84C2×C11×C4⋊C4C2311yescharacteristic
85C2×C11×C22⋊C4—21no—
86C2×C11×C22⋊C4—21no—
87C2×C22⋊Dic11—21no—
88C2×C22⋊Dic11D411yescharacteristic
89#66999—22no—
90#66999—22no—
91#66999—41no—
92#66999—41no—
93C4×C22⋊D11—22no—
94C4×C22⋊D11—22no—
95C2×(C2×D11)⋊C4—21no—
96C2×(C2×D11)⋊C4—21no—
97C2×(C2×D11)⋊C4—21no—
98C2×(C2×D11)⋊C4—21no—
99C2×(C2×D11)⋊C4D411yescharacteristic
100#66979—22no—
101#66979—41no—
102C2×C4⋊Dic11—22no—
103C2×C4⋊Dic11—21no—
104C2×C4⋊Dic11—41no—
105C2×C4⋊Dic11C2311yescharacteristic
106C2×C4⋊Dic11C2311yescharacteristic
107C2×C4⋊Dic11C2311yescharacteristic
108C2×C4⋊Dic11C2311yescharacteristic
109C2×Dic11⋊C4—21no—
110C2×Dic11⋊C4—21no—
111C2×Dic11⋊C4—21no—
112C2×Dic11⋊C4—21no—
113C2×Dic11⋊C4D411yescharacteristic
114C2×C4×Dic11—21no—
115C2×C4×Dic11C2311yescharacteristic
116C22×C11⋊C8C2311yescharacteristic
117C22×C11⋊C8C2311yescharacteristic
118C2×#4313—22no—
119C2×#4313—22no—
120C2×#4313—22no—
121C11×#106—22no—
122C11×#103—22no—
123C11×#103—22no—
124#66899—22no—
125#66899—22no—
126#66899—41no—
127#66899—41no—
128C11⋊#95—21no—
129C11⋊#95—21no—
130C11⋊#95—21no—
131C11⋊#95—21no—
132C11⋊#95—21no—
133C11⋊#95—21no—
134C11⋊#95—21no—
135C11⋊#95—21no—
136C22⋊(C11⋊C8)—22no—
137(C2×D11)⋊C8—22no—
138#66882—22no—
139#66882—22no—
140#66881—22no—
141#66881D414yescomplemented
142Dic11⋊C8—22no—
143C8×Dic11—22no—
144#24793—111nomaximal, Sylow
145C24×C11C2×D411yescharacteristic
146C23×D11C2×D411yescharacteristic
147C2×Q8×C11—21no—
148C2×Q8×C11—21no—
149C2×Q8×C11—21no—
150C2×Q8×C11—21no—
151C2×Q8×C11—21no—
152C2×Q8×C11—21no—
153C2×Q8×C11—21no—
154C2×Q8×C11—21no—
155C2×Q8×C11—21no—
156C2×Q8×C11—21no—
157C2×Q8×C11—21no—
158C2×Q8×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×C11—21no—
166C22×C4×C11—21no—
167C22×C4×C11C2×D411yescharacteristic
168C22×C4×C11C2×D412yes—
169C22×C4×C11#4112yes—
170C22×C4×C11C2411yescharacteristic
171C2×C22⋊D11—22no—
172C2×C22⋊D11—22no—
173C2×C22⋊D11—41no—
174C22×Dic11—21no—
175C22×Dic11—21no—
176C22×Dic11—21no—
177C22×Dic11—21no—
178C22×Dic11—42no—
179C22×Dic11—42no—
180C22×Dic11—81no—
181C22×Dic11C2×D411yescharacteristic
182C22×Dic11C2×D411yescharacteristic
183C22×Dic11C2×D411yescharacteristic
184C2×C4×D11—21no—
185C2×C4×D11—21no—
186C2×C4×D11—21no—
187C2×C4×D11—21no—
188C2×C4×D11—21no—
189C2×C4×D11—21no—
190C11×Q16—44no—
191C11×M16—28no—
192C2×C8×C11—21no—
193C2×C8×C11—21no—
194C2×C8×C11C2×D412yes—
195C2×C8×C11C2×D412yes—
196C2×C8×C11C2×D412yes—
197C2×C8×C11#4112yes—
198C11×C4⋊C4—21no—
199C11×C4⋊C4—21no—
200C11×C4⋊C4—21no—
201C11×C4⋊C4—21no—
202C11×C4⋊C4—42no—
203C11×C4⋊C4—42no—
204C11×C22⋊C4—42no—
205C11×C22⋊C4—42no—
206C22⋊Dic11—22no—
207C22⋊Dic11—42no—
208(C2×D11)⋊C4—22no—
209(C2×D11)⋊C4—42no—
210(C2×D11)⋊C4—42no—
211(C2×D11)⋊C4—42no—
212(C2×D11)⋊C4—81no—
213C4⋊Dic11—21no—
214C4⋊Dic11—21no—
215C4⋊Dic11—21no—
216C4⋊Dic11—21no—
217C4⋊Dic11—21no—
218C4⋊Dic11—21no—
219C4⋊Dic11—42no—
220C4⋊Dic11C2×D412yes—
221C4⋊Dic11C2×D412yes—
222Dic11⋊C4—22no—
223Dic11⋊C4—42no—
224Dic11⋊C4—42no—
225Dic11⋊C4—42no—
226Dic11⋊C4—81no—
227C4×Dic11—21no—
228C4×Dic11—21no—
229C4×Dic11—42no—
230C2×C11⋊C8—21no—
231C2×C11⋊C8—21no—
232C2×C11⋊C8—21no—
233C2×C11⋊C8—21no—
234C2×C11⋊C8—21no—
235C2×C11⋊C8—21no—
236#4313—44no—
237C2×#470—111no—
238C2×#470D1111yescharacteristic, complemented
239C2×#436—111no—
240C2×#428—111no—
241#2417—111no—
242#2415—111no—
243#2068—111no—
244#2066—111no—
245#2036—111no—
246#2035—111no—
247#1969—111no—
248#1941—111no—
249#1873—111no—
250#1872—111no—
251#1809—111no—
252C23×C11—21no—
253C23×C11—21no—
254C23×C11—21no—
255C23×C11—21no—
256C23×C11—21no—
257C23×C11—21no—
258C23×C11#12112yes—
259C23×C11C22×D411yescharacteristic
260C22×D11—21no—
261C22×D11—21no—
262C22×D11—21no—
263C22×D11—21no—
264C22×D11—21no—
265C22×D11—21no—
266C22×D11—21no—
267Q8×C11—41no—
268Q8×C11—41no—
269Q8×C11—41no—
270Q8×C11—41no—
271Q8×C11—41no—
272Q8×C11—41no—
273Q8×C11—41no—
274Q8×C11—41no—
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—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—41no—
289C2×C4×C11—41no—
290C2×C4×C11—41no—
291C2×C4×C11—41no—
292C2×C4×C11—41no—
293C2×C4×C11#12112yes—
294C2×C4×C11C22×D411yescharacteristic
295C2×C4×C11C22×D411yescharacteristic
296C2×C4×C11C2×#4111yescharacteristic
297C2×C4×C11C2×#4111yescharacteristic
298C2×C4×C11H(5,𝔽2)11yescharacteristic
299C2×C4×C112−1+411yescharacteristic
300C22⋊D11—44no—
301C2×Dic11—21no—
302C2×Dic11—21no—
303C2×Dic11—21no—
304C2×Dic11—21no—
305C2×Dic11—22no—
306C2×Dic11—21no—
307C2×Dic11—22no—
308C2×Dic11—21no—
309C2×Dic11—21no—
310C2×Dic11—21no—
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#13712yes—
323C4×D11—41no—
324C4×D11—41no—
325C4×D11—41no—
326C4×D11—41no—
327C8×C11—22no—
328C8×C11#12114yes—
329C11⋊C8—41no—
330C11⋊C8—41no—
331C22×Q16C2×D1111yescharacteristic
332C22×M16—111no—
333C22×M16C2×D1111yescharacteristic
334C2×C22⋊Q8—111no—
335C2×C22⋊Q8—111no—
336C2×C22⋊Q8C2×D1111yescharacteristic
337C2×C22⋊Q8C2×D1111yescharacteristic
338C2×C4×D4—111no—
339C2×#117—111no—
340C22×C4⋊C4—111no—
341#470—24no—
342#470—224no—
343#436—224no—
344#428—224no—
345C2×#107—111no—
346C2×#107—111no—
347C2×#106—111no—
348C2×#106—111no—
349C2×#106C2×D1111yescharacteristic
350C2×C4⋊C8—111no—
351C2×#103—111no—
352C2×#103—111no—
353C2×#103—111no—
354C2×#103—111no—
355C2×#103C2×D1111yescharacteristic
356C2×#103C2×D1111yescharacteristic
357C2×C22⋊C8—111no—
358C2×C22⋊C8—111no—
359C2×C4×C8—111no—
360#398—221no—
361#397—221no—
362#396—221no—
363#394—221no—
364#391—111no—
365#391—111no—
366#389—111no—
367#389—111no—
368#389—221no—
369#388—221no—
370#386—221no—
371#380—111no—
372#380—111no—
373#380—221no—
374#340—111no—
375#340—111no—
376#340—111no—
377#340—111no—
378C22×C11—22no—
379C22×C11—22no—
380C22×C11—22no—
381C22×C11—41no—
382C22×C11—41no—
383C22×C11—41no—
384C22×C11—41no—
385C22×C11C2×#12111yescharacteristic
386C22×C11D4211yescharacteristic
387C22×C11#54711yescharacteristic
388C22×C11C2×#13711yescharacteristic
389C22×C11#57511yescharacteristic
390C22×C11#57711yescharacteristic
391C22×C11#57811yescharacteristic
392C2×D11—41no—
393C2×D11—41no—
394C2×D11—41no—
395C2×D11—41no—
396C2×D11—41no—
397C2×D11—41no—
398C2×D11—41no—
399C4×C11—22no—
400C4×C11—81no—
401C4×C11—81no—
402C4×C11—81no—
403C4×C11—81no—
404C4×C11C2×#12111yescharacteristic
405C4×C11#53711yescharacteristic
406C4×C11#54811yescharacteristic
407C4×C11#55311yescharacteristic
408Dic11—22no—
409Dic11—41no—
410Dic11—42no—
411Dic11—42no—
412Dic11—41no—
413Dic11—81no—
414Dic11—81no—
415C22×Q8C22×D1111yescharacteristic
416C22×Q8C22×D1111yescharacteristic
417C22×D4—111no—
418C23×C4—111no—
419C23×C4—221no—
420C23×C4C22×D1111yescharacteristic
421C2×Q16—22no—
422C2×Q16—22no—
423C2×Q16—22no—
424C2×M16—22no—
425C2×M16—22no—
426C2×M16—222no—
427C2×M16—222no—
428C2×M16—222no—
429C2×M16C22⋊D1114yes—
430C22×C8—111no—
431C22×C8—111no—
432C22×C8C22×D1111yescharacteristic
433C22×C8C22×D1111yescharacteristic
434C22⋊Q8—22no—
435C22⋊Q8—22no—
436C22⋊Q8—22no—
437C22⋊Q8—22no—
438C22⋊Q8—222no—
439C22⋊Q8—222no—
440C22⋊Q8—441no—
441C22⋊Q8—441no—
442C4×D4—222no—
443C4×D4—222no—
444#117—222no—
445#117—441no—
446C2×C4⋊C4—21no—
447C2×C4⋊C4—21no—
448C2×C4⋊C4—111no—
449C2×C4⋊C4—111no—
450C2×C4⋊C4—111no—
451C2×C4⋊C4—111no—
452C2×C4⋊C4—111no—
453C2×C4⋊C4—222no—
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×C42—111no—
472C2×C42—221no—
473#107—222no—
474#107—222no—
475#106—22no—
476#106—114no—
477#106—222no—
478C4⋊C8—222no—
479#103—22no—
480#103—22no—
481#103—222no—
482#103—222no—
483#103—441no—
484#103—441no—
485C22⋊C8—222no—
486C22⋊C8—222no—
487C4×C8—222no—
488#95—221no—
489#95—221no—
490#95—221no—
491#95—221no—
492#95—221no—
493#95—221no—
494#95—221no—
495#95—221no—
496C2×C11—42no—
497C2×C11#241611yescharacteristic
498C2×C11#305611yescharacteristic
499C2×C11#306311yescharacteristic
500C2×C11#327511yescharacteristic
501C2×C11#327611yescharacteristic
502C2×C11#335211yescharacteristic
503C2×C11#335611yescharacteristic
504D11—81no—
505C24—111no—
506C24D4×D1111yescharacteristic
507C2×Q8—21no—
508C2×Q8—21no—
509C2×Q8—21no—
510C2×Q8—21no—
511C2×Q8—21no—
512C2×Q8—21no—
513C2×Q8—21no—
514C2×Q8—21no—
515C2×Q8—21no—
516C2×Q8—21no—
517C2×Q8—21no—
518C2×Q8—21no—
519C2×D4—222no—
520C2×D4—222no—
521C2×D4—441no—
522C22×C4—21no—
523C22×C4—21no—
524C22×C4—21no—
525C22×C4—21no—
526C22×C4—21no—
527C22×C4—21no—
528C22×C4—21no—
529C22×C4—21no—
530C22×C4—111no—
531C22×C4—111no—
532C22×C4—111no—
533C22×C4—221no—
534C22×C4—221no—
535C22×C4—221no—
536C22×C4—221no—
537C22×C4—221no—
538C22×C4—221no—
539C22×C4—221no—
540C22×C4—221no—
541C22×C4—221no—
542C22×C4—221no—
543C22×C4—442no—
544C22×C4—442no—
545C22×C4—881no—
546C22×C4D4×D1111yescharacteristic
547C22×C4#434112yes—
548C22×C4C2×C22⋊D1112yes—
549C22×C4C23×D1111yescharacteristic
550Q16—44no—
551M16—28no—
552M16—444no—
553C2×C8—21no—
554C2×C8—21no—
555C2×C8—221no—
556C2×C8—221no—
557C2×C8—221no—
558C2×C8—221no—
559C2×C8—221no—
560C2×C8—221no—
561C2×C8D4×D1112yes—
562C2×C8#434112yes—
563C2×C8C2×C22⋊D1112yes—
564C2×C8C2×C22⋊D1112yes—
565C4⋊C4—21no—
566C4⋊C4—21no—
567C4⋊C4—21no—
568C4⋊C4—21no—
569C4⋊C4—42no—
570C4⋊C4—42no—
571C4⋊C4—112no—
572C4⋊C4—112no—
573C4⋊C4—222no—
574C4⋊C4—221no—
575C4⋊C4—221no—
576C4⋊C4—221no—
577C4⋊C4—221no—
578C4⋊C4—221no—
579C4⋊C4—221no—
580C4⋊C4—442no—
581C4⋊C4—442no—
582C4⋊C4—442no—
583C4⋊C4—442no—
584C4⋊C4—881no—
585C22⋊C4—42no—
586C22⋊C4—42no—
587C22⋊C4—222no—
588C22⋊C4—222no—
589C22⋊C4—442no—
590C22⋊C4—442no—
591C22⋊C4—442no—
592C22⋊C4—442no—
593C22⋊C4—881no—
594C42—221no—
595C42—221no—
596C42—442no—
597C11#2479311yescharacteristic, complemented, Sylow
598C23—21no—
599C23—21no—
600C23—21no—
601C23—21no—
602C23—21no—
603C23—21no—
604C23—221no—
605C23—221no—
606C23—221no—
607C23—221no—
608C23—221no—
609C23—221no—
610C23—221no—
611C23#6699112yes—
612C23C2×D4×D1111yescharacteristic
613Q8—41no—
614Q8—41no—
615Q8—41no—
616Q8—41no—
617Q8—41no—
618Q8—41no—
619Q8—41no—
620Q8—41no—
621D4—444no—
622C2×C4—21no—
623C2×C4—21no—
624C2×C4—22no—
625C2×C4—22no—
626C2×C4—22no—
627C2×C4—22no—
628C2×C4—41no—
629C2×C4—41no—
630C2×C4—41no—
631C2×C4—41no—
632C2×C4—41no—
633C2×C4—41no—
634C2×C4—41no—
635C2×C4—41no—
636C2×C4—41no—
637C2×C4—41no—
638C2×C4—41no—
639C2×C4—41no—
640C2×C4—112no—
641C2×C4—221no—
642C2×C4—221no—
643C2×C4—221no—
644C2×C4—221no—
645C2×C4—221no—
646C2×C4—221no—
647C2×C4—222no—
648C2×C4—222no—
649C2×C4—221no—
650C2×C4—221no—
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—441no—
661C2×C4—441no—
662C2×C4—441no—
663C2×C4—441no—
664C2×C4—441no—
665C2×C4—884no—
666C2×C4#6699112yes—
667C2×C4C2×D4×D1111yescharacteristic
668C2×C4C2×#434111yescharacteristic
669C2×C4C2×#434111yescharacteristic
670C2×C4#6704211yescharacteristic
671C2×C4#6704311yescharacteristic
672C2×C4C22×C22⋊D1111yescharacteristic
673C8—22no—
674C8—441no—
675C8—441no—
676C8#6699214yes—
677C22—22no—
678C22—22no—
679C22—22no—
680C22—41no—
681C22—41no—
682C22—41no—
683C22—41no—
684C22—441no—
685C22—441no—
686C22—441no—
687C22—441no—
688C22—441no—
689C22—441no—
690C22—441no—
691C22#1062314011yescharacteristic
692C22#1062314211yescharacteristic
693C22D11×#13711yescharacteristic
694C22#1062330811yescharacteristic
695C22#1062330911yescharacteristic
696C22#1062331011yescharacteristic
697C22C2×#6699111yescharacteristic
698C4—22no—
699C4—81no—
700C4—81no—
701C4—81no—
702C4—81no—
703C4—222no—
704C4—441no—
705C4—442no—
706C4—441no—
707C4—442no—
708C4—881no—
709C4—881no—
710C4#1062312911yescharacteristic
711C4#1062314911yescharacteristic
712C4C2×#6699211yescharacteristic
713C4#1062336411yescharacteristic
714C2—42no—
715C2—881no—
716C2#1307205711yescharacteristic
717C2#1307824011yescharacteristic
718C2#1307830111yescharacteristic
719C2#1308024411yescharacteristic
720C2#1308025911yescharacteristic
721C2#1308118611yescharacteristic
722C2#1308122611yescharacteristic
subgroupG/H
centerC23C2×D4×D11
commutator, cosocleC22×C4×C11C24
FrattiniC22×C4C23×D11
FittingC2×C11×#470C2
socleC23×C11C22×D4
prime radicalC22×C22⋊D11D4
hypercenterC2×#470D11
hypocenterC11#24793
LCSG ▷ C22×C4×C11 ▷ C2×C11 ▷ C11
UCSC1 ◁ C23 ◁ C23×C4 ◁ C2×#470

Complements

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

NH ≅ G/Ntype
1. C2×#10622802C2semidirect
3. C2×#10622734C2semidirect
6. #13070009C2semidirect
7. #13069995C2semidirect
8. #13069818C2semidirect
9. #13069811C2semidirect
10. #13069478C2semidirect
11. #13069342C2semidirect
12. #13068929C2semidirect
13. #13068924C2semidirect
14. #13068646C2semidirect
15. C2×C11×#470C2semidirect
141. #66881D4semidirect
238. C2×#470D11semidirect
597. C11#24793semidirect

Maximal subgroups

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

subgroupindex
C2×#106228022
C2×#106227412
C2×#106227342
#130720682
#130720462
#130700092
#130699952
#130698182
#130698112
#130694782
#130693422
#130689292
#130689242
#130686462
C2×C11×#4702
#2479311