Finite Group Databasebeta

← #14782465

Subgroups — #14782465

Order 2816.

1178 conjugacy classes of subgroups.

The subgroup lattice has 736 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#10622494C211yesmaximal, characteristic, complemented
2C2×#10622450C211yesmaximal, characteristic, complemented
3C2×#10622416C211yesmaximal, characteristic
4C2×#10622416C211yesmaximal, characteristic
5#13071105C211yesmaximal, characteristic
6D11×#389C211yesmaximal, characteristic, complemented
7#13070011C211yesmaximal, characteristic, complemented
8#13070005C211yesmaximal, characteristic, complemented
9#13069999C211yesmaximal, characteristic, complemented
10#13069995C211yesmaximal, characteristic, complemented
11#13069993C211yesmaximal, characteristic, complemented
12#13069989C211yesmaximal, characteristic, complemented
13#13069987C211yesmaximal, characteristic, complemented
14#13068334C211yesmaximal, characteristic, complemented
15C11×#2068C211yesmaximal, characteristic, complemented
16C22×#4343C2211yescharacteristic
17C22×#4313C2211yescharacteristic
18C22×#4313C2211yescharacteristic
19C2×#66945C2211yescharacteristic
20C2×C4⋊C4×D11—21no—
21C2×C4⋊C4×D11C2211yescharacteristic
22C2×C4⋊C4×D11C2211yescharacteristic
23C2×C42×D11C2211yescharacteristic
24C2×C11×#107C2211yescharacteristic
25C2×C11×C4⋊C8C2211yescharacteristic
26C2×C11×#103C2211yescharacteristic
27C2×C11×#103C2211yescharacteristic
28C11×#391C2211yescharacteristic
29C11×#389C2211yescharacteristic
30#10622843C2211yescharacteristic
31C2×#66899C2211yescharacteristic
32C2×#66899C2211yescharacteristic
33C2×#66885C2211yescharacteristic
34C2×#66885C2211yescharacteristic
35C2×#66881C2211yescharacteristic
36C2×Dic11⋊C8C2211yescharacteristic
37C2×Dic11⋊C8C2211yescharacteristic
38#10622601C2211yescharacteristic
39#10622598C2211yescharacteristic
40#10622586C2211yescharacteristic
41#10622585—21no—
42C2×#66873C2211yescharacteristic
43C2×#66873C2211yescharacteristic
44C2×#66872C2211yescharacteristic
45C2×#66871C2211yescharacteristic
46#10622552C2211yescharacteristic
47#10622541C2211yescharacteristic
48C2×C4⋊(C11⋊C8)C2211yescharacteristic
49#10622494—24no—
50#10622450—24no—
51#10622416—24no—
52#10622416—24no—
53#10622279—21no—
54#10622279—21no—
55#10622278—21no—
56#10622278—21no—
57D11×#95—21no—
58#10622260—21no—
59C11×#340C2211yescharacteristic
60#10622189C2211yescharacteristic
61#10622167C2211yescharacteristic
62#10622167C2211yescharacteristic
63C22×Q8×C11C2311yescharacteristic
64C2×#4343—22no—
65C2×#4343—22no—
66C2×#4343—22no—
67C2×#4343—22no—
68C2×#4343—22no—
69C2×#4343Q814yes—
70C22×D44—21no—
71C22×D44C2311yescharacteristic
72C22×C4×D11—21no—
73C22×C4×D11—21no—
74C22×C4×D11—21no—
75C22×C4×D11D411yescharacteristic
76C22×C4×D11D411yescharacteristic
77C22×C4×D11C2311yescharacteristic
78C22×C8×C11C2311yescharacteristic
79C22×C8×C11C2311yescharacteristic
80C2×C11×C4⋊C4—21no—
81C2×C11×C4⋊C4C2311yescharacteristic
82C2×C11×C4⋊C4C2311yescharacteristic
83C2×C11×C4⋊C4C2311yescharacteristic
84C2×C42×C11C2311yescharacteristic
85C2×(C2×D11)⋊C4—21no—
86C2×(C2×D11)⋊C4—21no—
87C2×(C2×D11)⋊C4—21no—
88C2×(C2×D11)⋊C4—21no—
89C2×(C2×D11)⋊C4—21no—
90C2×C4⋊Dic11—21no—
91C2×C4⋊Dic11C2311yescharacteristic
92C2×C4⋊Dic11C2311yescharacteristic
93C2×C4⋊Dic11C2311yescharacteristic
94C2×Dic11⋊C4—21no—
95C2×Dic11⋊C4—21no—
96C2×Dic11⋊C4—21no—
97C2×Dic11⋊C4—21no—
98C2×C4×Dic11—21no—
99C2×C4×Dic11D411yescharacteristic
100C2×C4×Dic11D411yescharacteristic
101C2×C4×Dic11C2311yescharacteristic
102C22×C11⋊C8C2311yescharacteristic
103C22×C11⋊C8C2311yescharacteristic
104C2×#4313—22no—
105C2×#4313—22no—
106C2×#4313—22no—
107C2×#4313—22no—
108C2×#4313—22no—
109C2×#4313D414yes—
110#66945—22no—
111#66945—22no—
112C4⋊C4×D11—22no—
113C4⋊C4×D11—22no—
114C4⋊C4×D11—22no—
115C4⋊C4×D11—44no—
116C4⋊C4×D11D414yes—
117C42×D11—22no—
118C42×D11—22no—
119C11×#107—22no—
120C11×C4⋊C8—22no—
121C11×#103—22no—
122C11×#103—22no—
123C11×#95—21no—
124C11×#95—21no—
125C11×#95—21no—
126#66899—22no—
127#66899—22no—
128C11⋊#95—21no—
129C11⋊#95—21no—
130C11⋊#95—21no—
131C11⋊#95—21no—
132C11⋊#95—21no—
133#66885—22no—
134#66885—22no—
135#66881—22no—
136Dic11⋊C8—22no—
137Dic11⋊C8—22no—
138#66873—22no—
139#66873—22no—
140#66872—22no—
141#66871—22no—
142C4⋊(C11⋊C8)—22no—
143#23617—111nomaximal, Sylow
144C23×D11—21no—
145C23×D11C2×D411yescharacteristic
146C2×Q8×C11—21no—
147C2×Q8×C11—21no—
148C2×Q8×C11—21no—
149C2×Q8×C11—21no—
150C2×Q8×C11—21no—
151C2×Q8×C11C2×Q812yes—
152C22×C4×C11—21no—
153C22×C4×C11—21no—
154C22×C4×C11—21no—
155C22×C4×C11—21no—
156C22×C4×C11C2×D411yescharacteristic
157C22×C4×C11C2×D411yescharacteristic
158C22×C4×C11C2411yescharacteristic
159C22×Dic11—21no—
160C22×Dic11—21no—
161C22×Dic11—21no—
162C22×Dic11C2×D411yescharacteristic
163C22×Dic11C2×D411yescharacteristic
164C22×Dic11C2×D411yescharacteristic
165#4343—28no—
166#4343—28no—
167#4343—44no—
168#4343—44no—
169C2×D44—24no—
170C2×D44—21no—
171C2×D44—21no—
172C2×D44—21no—
173C2×D44—21no—
174C2×D44—21no—
175C2×D44—42no—
176C2×D44—42no—
177C2×D44C2×Q812yes—
178C2×C4×D11—24no—
179C2×C4×D11—22no—
180C2×C4×D11—22no—
181C2×C4×D11—22no—
182C2×C4×D11—24no—
183C2×C4×D11—22no—
184C2×C4×D11—41no—
185C2×C4×D11—41no—
186C2×C4×D11—42no—
187C2×C4×D11—42no—
188C2×C4×D11—42no—
189C2×C4×D11—42no—
190C2×C4×D11—42no—
191C2×C4×D11—42no—
192C2×C4×D11—42no—
193C2×C4×D11C2×D412yes—
194C2×C4×D11C2×D412yes—
195C2×C4×D11C2×Q812yes—
196C2×C4×D11#4112yes—
197C2×C4×D11#4112yes—
198C2×C4×D11#4112yes—
199C2×C8×C11—21no—
200C2×C8×C11—21no—
201C2×C8×C11—21no—
202C2×C8×C11—21no—
203C2×C8×C11—21no—
204C2×C8×C11C2×D412yes—
205C11×C4⋊C4—21no—
206C11×C4⋊C4—21no—
207C11×C4⋊C4—21no—
208C11×C4⋊C4—21no—
209C11×C4⋊C4—21no—
210C11×C4⋊C4—42no—
211C11×C4⋊C4C2×D412yes—
212C42×C11—21no—
213C42×C11—21no—
214(C2×D11)⋊C4—42no—
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—21no—
224C4⋊Dic11—42no—
225C4⋊Dic11C2×D412yes—
226Dic11⋊C4—24no—
227Dic11⋊C4—42no—
228Dic11⋊C4—42no—
229Dic11⋊C4—42no—
230C4×Dic11—22no—
231C4×Dic11—22no—
232C4×Dic11—21no—
233C4×Dic11—21no—
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⋊C8C2×D412yes—
241#4313—28no—
242#4313—44no—
243C2×#428—111no—
244C2×#423—111no—
245C2×#417—111no—
246C2×#417—111no—
247#2297—111no—
248C2×#389—111no—
249#2068—111no—
250#2068D1111yescharacteristic, complemented
251#2067—111no—
252#2067—111no—
253#2066—111no—
254#2066—111no—
255#2065—111no—
256#2065—111no—
257#1736—111no—
258C23×C11C22×D411yescharacteristic
259C22×D11—21no—
260C22×D11—21no—
261C22×D11—21no—
262C22×D11—21no—
263C22×D11—22no—
264C22×D11—41no—
265C22×D11—41no—
266C22×D11—41no—
267C22×D11—41no—
268C22×D11—41no—
269C22×D11—41no—
270C22×D11#12112yes—
271C22×D11#12112yes—
272C22×D11C22⋊Q812yes—
273Q8×C11—22no—
274Q8×C11—22no—
275Q8×C11—41no—
276Q8×C11—41no—
277C2×C4×C11—21no—
278C2×C4×C11—21no—
279C2×C4×C11—21no—
280C2×C4×C11—22no—
281C2×C4×C11—22no—
282C2×C4×C11—21no—
283C2×C4×C11—21no—
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—41no—
294C2×C4×C11#13712yes—
295C2×C4×C11C22×D411yescharacteristic
296C2×C4×C11C22×D411yescharacteristic
297C2×C4×C11C22×Q811yescharacteristic
298C2×C4×C11C2×#4111yescharacteristic
299C2×C4×C11C2×#4111yescharacteristic
300C2×C4×C11C2×#4111yescharacteristic
301C2×Dic11—21no—
302C2×Dic11—21no—
303C2×Dic11—21no—
304C2×Dic11—22no—
305C2×Dic11—21no—
306C2×Dic11—21no—
307C2×Dic11—41no—
308C2×Dic11—41no—
309C2×Dic11—41no—
310C2×Dic11—41no—
311C2×Dic11—41no—
312C2×Dic11—41no—
313C2×Dic11—41no—
314C2×Dic11—41no—
315C2×Dic11#12112yes—
316C2×Dic11#12112yes—
317C2×Dic11C22⋊Q812yes—
318C2×Dic11AGL(1,ℤ/8)12yes—
319D44—22no—
320D44—22no—
321D44—48no—
322D44—41no—
323D44—41no—
324C4×D11—44no—
325C4×D11—44no—
326C4×D11—48no—
327C4×D11—48no—
328C4×D11—84no—
329C4×D11#12114yes—
330C4×D11C22⋊Q814yes—
331C4×D11C22⋊Q814yes—
332C4×D11#12614yes—
333C8×C11—22no—
334C8×C11—41no—
335C11⋊C8—22no—
336C11⋊C8—41no—
337C22×#41—111no—
338C22×M16—111no—
339C22×M16—111no—
340C2×#117—111no—
341C22×C4⋊C4—111no—
342C22×C4⋊C4—111no—
343C22×C4⋊C4—221no—
344C22×C42—111no—
345#428—224no—
346C2×#107—111no—
347C2×#107C2×D1111yescharacteristic
348C2×#106—111no—
349C2×#106—111no—
350#423—224no—
351C2×C4⋊C8—111no—
352C2×C4⋊C8—111no—
353C2×C4⋊C8—111no—
354C2×C4⋊C8C2×D1111yescharacteristic
355#417—224no—
356#417—224no—
357C2×#103—111no—
358C2×#103—111no—
359C2×#103C2×D1111yescharacteristic
360C2×#103C2×D1111yescharacteristic
361C2×#102—111no—
362C2×#102—111no—
363C2×#102—111no—
364C2×#102—111no—
365#391—111no—
366#391C2×D1111yescharacteristic
367#390—111no—
368#390—111no—
369#389—111no—
370#389—111no—
371#389—111no—
372#389—221no—
373#389—221no—
374#389C2×D1111yescharacteristic
375#386—221no—
376#386—221no—
377C4×C22⋊C4—221no—
378C4×C22⋊C4—221no—
379C2×#95—221no—
380#340—111no—
381#340—111no—
382#340—111no—
383#340C2×D1111yescharacteristic
384C22×C11C2×#12111yescharacteristic
385C22×C11C2×#12111yescharacteristic
386C22×C11C2×C22⋊Q811yescharacteristic
387C22×C11C2×AGL(1,ℤ/8)11yescharacteristic
388C22×C11C2×#13711yescharacteristic
389C22×C11#57511yescharacteristic
390C22×C11#57511yescharacteristic
391C2×D11—22no—
392C2×D11—22no—
393C2×D11—22no—
394C2×D11—22no—
395C2×D11—22no—
396C2×D11—22no—
397C2×D11—42no—
398C2×D11—42no—
399C2×D11—42no—
400C2×D11—81no—
401C2×D11—81no—
402C2×D11—81no—
403C2×D11—81no—
404C2×D11#39614yes—
405C4×C11—22no—
406C4×C11—42no—
407C4×C11—42no—
408C4×C11—41no—
409C4×C11—81no—
410C4×C11—81no—
411C4×C11C2×#12111yescharacteristic
412C4×C11C2×C22⋊Q811yescharacteristic
413C4×C11C2×C22⋊Q811yescharacteristic
414C4×C11C2×#12611yescharacteristic
415Dic11—22no—
416Dic11—42no—
417Dic11—41no—
418Dic11—81no—
419Dic11—81no—
420Dic11#39614yes—
421C2×#41—114no—
422C2×#41—222no—
423C2×#41—222no—
424C2×#41—222no—
425C2×#41—222no—
426C2×#41—222no—
427C22×Q8C22×D1111yescharacteristic
428C22×D4—111no—
429C22×D4—221no—
430C23×C4—111no—
431C23×C4—111no—
432C23×C4—111no—
433C23×C4—221no—
434C23×C4—221no—
435C23×C4—221no—
436C2×M16—114no—
437C2×M16—222no—
438C2×M16—222no—
439C2×M16—222no—
440C2×M16—222no—
441C2×M16—222no—
442C22×C8—111no—
443C22×C8—111no—
444C22×C8C22×D1111yescharacteristic
445C22×C8C22×D1111yescharacteristic
446#117—222no—
447#117—222no—
448C2×C4⋊C4—21no—
449C2×C4⋊C4—111no—
450C2×C4⋊C4—114no—
451C2×C4⋊C4—111no—
452C2×C4⋊C4—111no—
453C2×C4⋊C4—222no—
454C2×C4⋊C4—222no—
455C2×C4⋊C4—222no—
456C2×C4⋊C4—221no—
457C2×C4⋊C4—221no—
458C2×C4⋊C4—221no—
459C2×C4⋊C4—221no—
460C2×C4⋊C4—221no—
461C2×C4⋊C4—444no—
462C2×C4⋊C4C22×D1111yescharacteristic
463C2×C4⋊C4C22×D1111yescharacteristic
464C2×C4⋊C4C22×D1111yescharacteristic
465C2×C22⋊C4—221no—
466C2×C22⋊C4—221no—
467C2×C22⋊C4—221no—
468C2×C22⋊C4—221no—
469C2×C22⋊C4—221no—
470C2×C42—111no—
471C2×C42—111no—
472C2×C42—111no—
473C2×C42—222no—
474C2×C42—222no—
475C2×C42—221no—
476C2×C42C22×D1111yescharacteristic
477#107—22no—
478#107—222no—
479#106—222no—
480#106—222no—
481C4⋊C8—22no—
482C4⋊C8—222no—
483C4⋊C8—222no—
484C4⋊C8—222no—
485#103—22no—
486#103—22no—
487#103—222no—
488#103—222no—
489#102—222no—
490#102—222no—
491#102—222no—
492#102—222no—
493#95—21no—
494#95—21no—
495#95—21no—
496#95—221no—
497#95—221no—
498#95—221no—
499#95—221no—
500#95—221no—
501C2×C11C2×#39611yescharacteristic
502C2×C11#303611yescharacteristic
503C2×C11#303711yescharacteristic
504C2×C11#305511yescharacteristic
505C2×C11#305611yescharacteristic
506C2×C11#307911yescharacteristic
507C2×C11#308011yescharacteristic
508D11—24no—
509D11—82no—
510C24—111no—
511C24—221no—
512#41—228no—
513#41—228no—
514#41—444no—
515#41—444no—
516C2×Q8—21no—
517C2×Q8—21no—
518C2×Q8—21no—
519C2×Q8—21no—
520C2×Q8—21no—
521C2×Q8Q8×D1112yes—
522C2×D4—112no—
523C2×D4—224no—
524C2×D4—221no—
525C2×D4—221no—
526C2×D4—221no—
527C2×D4—221no—
528C2×D4—221no—
529C2×D4—442no—
530C2×D4—442no—
531C22×C4—21no—
532C22×C4—21no—
533C22×C4—21no—
534C22×C4—21no—
535C22×C4—111no—
536C22×C4—112no—
537C22×C4—112no—
538C22×C4—112no—
539C22×C4—112no—
540C22×C4—112no—
541C22×C4—112no—
542C22×C4—111no—
543C22×C4—111no—
544C22×C4—222no—
545C22×C4—224no—
546C22×C4—222no—
547C22×C4—222no—
548C22×C4—224no—
549C22×C4—221no—
550C22×C4—222no—
551C22×C4—221no—
552C22×C4—221no—
553C22×C4—441no—
554C22×C4—441no—
555C22×C4—442no—
556C22×C4—442no—
557C22×C4—442no—
558C22×C4—442no—
559C22×C4—442no—
560C22×C4—442no—
561C22×C4—442no—
562C22×C4D4×D1111yescharacteristic
563C22×C4D4×D1111yescharacteristic
564C22×C4C23×D1111yescharacteristic
565M16—228no—
566M16—444no—
567C2×C8—21no—
568C2×C8—21no—
569C2×C8—21no—
570C2×C8—21no—
571C2×C8—21no—
572C2×C8—112no—
573C2×C8—221no—
574C2×C8—221no—
575C2×C8—221no—
576C2×C8—221no—
577C2×C8—221no—
578C2×C8D4×D1112yes—
579C4⋊C4—21no—
580C4⋊C4—21no—
581C4⋊C4—21no—
582C4⋊C4—21no—
583C4⋊C4—21no—
584C4⋊C4—42no—
585C4⋊C4—112no—
586C4⋊C4—224no—
587C4⋊C4—221no—
588C4⋊C4—221no—
589C4⋊C4—221no—
590C4⋊C4—221no—
591C4⋊C4—221no—
592C4⋊C4—442no—
593C4⋊C4—442no—
594C4⋊C4—442no—
595C4⋊C4—442no—
596C4⋊C4D4×D1112yes—
597C22⋊C4—442no—
598C22⋊C4—442no—
599C22⋊C4—442no—
600C22⋊C4—442no—
601C22⋊C4—442no—
602C42—21no—
603C42—21no—
604C42—222no—
605C42—222no—
606C42—221no—
607C42—221no—
608C42—442no—
609C11#2361711yescharacteristic, complemented, Sylow
610C23—112no—
611C23—112no—
612C23—112no—
613C23—221no—
614C23—221no—
615C23—221no—
616C23—221no—
617C23—222no—
618C23—441no—
619C23—441no—
620C23—441no—
621C23—441no—
622C23—441no—
623C23—441no—
624C23C2×D4×D1111yescharacteristic
625Q8—22no—
626Q8—22no—
627Q8—41no—
628Q8—41no—
629D4—222no—
630D4—222no—
631D4—448no—
632D4—441no—
633D4—441no—
634C2×C4—21no—
635C2×C4—21no—
636C2×C4—21no—
637C2×C4—21no—
638C2×C4—21no—
639C2×C4—22no—
640C2×C4—22no—
641C2×C4—41no—
642C2×C4—41no—
643C2×C4—41no—
644C2×C4—41no—
645C2×C4—41no—
646C2×C4—41no—
647C2×C4—41no—
648C2×C4—41no—
649C2×C4—41no—
650C2×C4—41no—
651C2×C4—112no—
652C2×C4—112no—
653C2×C4—112no—
654C2×C4—114no—
655C2×C4—114no—
656C2×C4—114no—
657C2×C4—114no—
658C2×C4—112no—
659C2×C4—221no—
660C2×C4—221no—
661C2×C4—221no—
662C2×C4—221no—
663C2×C4—221no—
664C2×C4—222no—
665C2×C4—444no—
666C2×C4—448no—
667C2×C4—444no—
668C2×C4—448no—
669C2×C4—441no—
670C2×C4—441no—
671C2×C4—441no—
672C2×C4—441no—
673C2×C4—441no—
674C2×C4—441no—
675C2×C4—441no—
676C2×C4—441no—
677C2×C4—884no—
678C2×C4#6697112yes—
679C2×C4C2×D4×D1111yescharacteristic
680C2×C4C2×D4×D1111yescharacteristic
681C2×C4C2×Q8×D1111yescharacteristic
682C2×C4#41×D1111yescharacteristic
683C2×C4#41×D1111yescharacteristic
684C2×C4#41×D1111yescharacteristic
685C8—22no—
686C8—41no—
687C8—222no—
688C8—441no—
689C22—114no—
690C22—222no—
691C22—222no—
692C22—222no—
693C22—222no—
694C22—222no—
695C22—222no—
696C22—442no—
697C22—442no—
698C22—442no—
699C22—881no—
700C22—881no—
701C22—881no—
702C22—881no—
703C22D11×#12111yescharacteristic
704C22D11×#12111yescharacteristic
705C22D11×C22⋊Q811yescharacteristic
706C22C2×#6697111yescharacteristic
707C22#1062329911yescharacteristic
708C22D11×AGL(1,ℤ/8)11yescharacteristic
709C22#1062330811yescharacteristic
710C4—22no—
711C4—42no—
712C4—41no—
713C4—42no—
714C4—81no—
715C4—81no—
716C4—114no—
717C4—222no—
718C4—442no—
719C4—441no—
720C4—881no—
721C4—881no—
722C4D11×#12111yescharacteristic
723C4D11×C22⋊Q811yescharacteristic
724C4D11×C22⋊Q811yescharacteristic
725C4D11×#12611yescharacteristic
726C2—224no—
727C2—882no—
728C2D11×#39611yescharacteristic
729C2#1307807811yescharacteristic
730C2#1307808911yescharacteristic
731C2#1307823011yescharacteristic
732C2#1307824311yescharacteristic
733C2#1307843011yescharacteristic
734C2#1307843511yescharacteristic
subgroupG/H
centerC23C2×D4×D11
commutator, cosocleC22×C4×C11C24
FrattiniC22×C4C23×D11
FittingC11×#2068C2
socleC23×C11C22×D4
prime radicalC22×#4343C22
hypercenter#2068D11
hypocenterC11#23617
LCSG ▷ C22×C4×C11 ▷ C2×C11 ▷ C11
UCSC1 ◁ C23 ◁ C2×C42 ◁ #2068

Complements

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

NH ≅ G/Ntype
1. C2×#10622494C2semidirect
2. C2×#10622450C2semidirect
6. D11×#389C2semidirect
7. #13070011C2semidirect
8. #13070005C2semidirect
9. #13069999C2semidirect
10. #13069995C2semidirect
11. #13069993C2semidirect
12. #13069989C2semidirect
13. #13069987C2semidirect
14. #13068334C2semidirect
15. C11×#2068C2semidirect
250. #2068D11semidirect
609. C11#23617semidirect

Maximal subgroups

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

subgroupindex
C2×#106224942
C2×#106224502
C2×#106224162
#130711052
D11×#3892
#130700112
#130700052
#130699992
#130699952
#130699932
#130699892
#130699872
#130683342
C11×#20682
#2361711