Finite Group Databasebeta

← #14660735

Subgroups — #14660735

Order 2816.

1238 conjugacy classes of subgroups.

The subgroup lattice has 708 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×#66896C211yesmaximal, characteristic
2C2×#10622834C211yesmaximal, characteristic
3C2×#10622590C211yesmaximal, characteristic, complemented
4C2×#10622189C211yesmaximal, characteristic, complemented
5C2×#10622167C211yesmaximal, characteristic, complemented
6C2×#10622188C211yesmaximal, characteristic, complemented
7C22×C11×#102C211yesmaximal, characteristic
8C23×D4×C11C2211yescharacteristic
9C23×C8×C11C2211yescharacteristic
10C22×C11×C4⋊C4C2211yescharacteristic
11C22×C22⋊Dic11—22no—
12C22×C4⋊Dic11C2211yescharacteristic
13C22×C4⋊Dic11C2211yescharacteristic
14C22×C4×Dic11C2211yescharacteristic
15C23×C11⋊C8C2211yescharacteristic
16C2×C11×#102—22no—
17C2×C11×#102—22no—
18C2×C11×#102—22no—
19#10622834—22no—
20#10622834C414yescomplemented
21C2×#66896—22no—
22C2×#66896—22no—
23C2×#66896—22no—
24C2×C11⋊#95—22no—
25#10622590—22no—
26#10622590—22no—
27#10622189—22no—
28#10622188—22no—
29#10622167—22no—
30C25×C11—21no—
31C22×D4×C11—21no—
32C22×D4×C11—21no—
33C22×D4×C11—21no—
34C22×D4×C11—21no—
35C22×D4×C11—21no—
36C22×D4×C11—21no—
37C22×D4×C11—21no—
38C22×D4×C11—21no—
39C22×D4×C11—21no—
40C22×D4×C11—21no—
41C22×D4×C11—21no—
42C22×D4×C11C2×C412yes—
43C22×D4×C11D412yes—
44C22×D4×C11Q812yes—
45C23×C4×C11—21no—
46C23×C4×C11C2311yescharacteristic
47C23×Dic11—21no—
48C23×Dic11—21no—
49C23×Dic11D412yes—
50C22×C8×C11—21no—
51C22×C8×C11—21no—
52C22×C8×C11—21no—
53C22×C8×C11—21no—
54C22×C8×C11—21no—
55C22×C8×C11—21no—
56C22×C8×C11D412yes—
57C2×C11×C4⋊C4—21no—
58C2×C11×C4⋊C4—21no—
59C2×C11×C4⋊C4—21no—
60C2×C11×C4⋊C4—21no—
61C2×C11×C4⋊C4—21no—
62C2×C11×C4⋊C4D412yes—
63C2×C22⋊Dic11—28no—
64C2×C22⋊Dic11—44no—
65C2×C22⋊Dic11—44no—
66C2×C4⋊Dic11—21no—
67C2×C4⋊Dic11—21no—
68C2×C4⋊Dic11—21no—
69C2×C4⋊Dic11—21no—
70C2×C4⋊Dic11—21no—
71C2×C4⋊Dic11—21no—
72C2×C4⋊Dic11—21no—
73C2×C4⋊Dic11—21no—
74C2×C4⋊Dic11—21no—
75C2×C4⋊Dic11—21no—
76C2×C4⋊Dic11C2×C412yes—
77C2×C4⋊Dic11D412yes—
78C2×C4×Dic11—21no—
79C2×C4×Dic11—21no—
80C2×C4×Dic11—21no—
81C2×C4×Dic11—21no—
82C2×C4×Dic11C2×C412yes—
83C2×C4×Dic11D412yes—
84C22×C11⋊C8—21no—
85C22×C11⋊C8—21no—
86C22×C11⋊C8—21no—
87C22×C11⋊C8—21no—
88C22×C11⋊C8—21no—
89C22×C11⋊C8—21no—
90C22×C11⋊C8D412yes—
91C11×#102—28no—
92#66896—28no—
93C11⋊#95—28no—
94#11051—111nomaximal, Sylow
95C24×C11—22no—
96C24×C11—22no—
97C24×C11—22no—
98C24×C11—41no—
99C24×C11—41no—
100C24×C11—41no—
101C24×C11—41no—
102C24×C11—42no—
103C24×C11—42no—
104C24×C11—42no—
105C24×C11—42no—
106C24×C11C2×D411yescharacteristic
107C2×D4×C11—22no—
108C2×D4×C11—22no—
109C2×D4×C11—22no—
110C2×D4×C11—22no—
111C2×D4×C11—22no—
112C2×D4×C11—22no—
113C2×D4×C11—22no—
114C2×D4×C11—22no—
115C2×D4×C11—22no—
116C2×D4×C11—22no—
117C2×D4×C11—22no—
118C2×D4×C11—22no—
119C2×D4×C11—22no—
120C2×D4×C11—22no—
121C2×D4×C11—22no—
122C2×D4×C11—41no—
123C2×D4×C11—41no—
124C2×D4×C11—41no—
125C2×D4×C11—41no—
126C2×D4×C11—41no—
127C2×D4×C11—41no—
128C2×D4×C11—41no—
129C2×D4×C11—41no—
130C2×D4×C11—41no—
131C2×D4×C11—41no—
132C2×D4×C11—41no—
133C2×D4×C11—41no—
134C2×D4×C11C4⋊C414yes—
135C22×C4×C11—22no—
136C22×C4×C11—41no—
137C22×C4×C11—41no—
138C22×C4×C11—42no—
139C22×C4×C11—42no—
140C22×C4×C11C22×C411yescharacteristic
141C22×C4×C11C2×D411yescharacteristic
142C22×C4×C11C2×D411yescharacteristic
143C22×C4×C11C2×D411yescharacteristic
144C22×C4×C11C2×D411yescharacteristic
145C22×C4×C11C2×D411yescharacteristic
146C22×C4×C11C2×D411yescharacteristic
147C22×C4×C11C2×Q811yescharacteristic
148C22×C4×C11#4111yescharacteristic
149C22×C4×C11#4111yescharacteristic
150C22×C4×C11#4111yescharacteristic
151C22×C4×C11#4111yescharacteristic
152C22×C4×C11#4111yescharacteristic
153C22×C4×C11#4111yescharacteristic
154C22×Dic11—22no—
155C22×Dic11—22no—
156C22×Dic11—22no—
157C22×Dic11—22no—
158C22×Dic11—22no—
159C22×Dic11—22no—
160C22×Dic11—22no—
161C22×Dic11—22no—
162C22×Dic11—41no—
163C22×Dic11—41no—
164C22×Dic11—41no—
165C22×Dic11—41no—
166C22×Dic11—42no—
167C22×Dic11—42no—
168C22×Dic11—42no—
169C22×Dic11—42no—
170C22×Dic11C22⋊C414yes—
171C2×C8×C11—22no—
172C2×C8×C11—22no—
173C2×C8×C11—22no—
174C2×C8×C11—41no—
175C2×C8×C11—41no—
176C2×C8×C11—41no—
177C2×C8×C11—41no—
178C11×C4⋊C4—22no—
179C11×C4⋊C4—22no—
180C11×C4⋊C4—41no—
181C11×C4⋊C4—41no—
182C22⋊Dic11—416no—
183C4⋊Dic11—22no—
184C4⋊Dic11—22no—
185C4⋊Dic11—22no—
186C4⋊Dic11—22no—
187C4⋊Dic11—41no—
188C4⋊Dic11—41no—
189C4⋊Dic11—41no—
190C4⋊Dic11—41no—
191C4×Dic11—22no—
192C4×Dic11—22no—
193C4×Dic11—22no—
194C4×Dic11—22no—
195C2×C11⋊C8—22no—
196C2×C11⋊C8—22no—
197C2×C11⋊C8—22no—
198C2×C11⋊C8—41no—
199C2×C11⋊C8—41no—
200C2×C11⋊C8—41no—
201C2×C11⋊C8—41no—
202C22×#102—111no—
203C22×#102D1111yescharacteristic
204C2×#390—111no—
205C2×#382—111no—
206C2×#340—111no—
207C2×#340—111no—
208C2×#336—111no—
209C23×C11—24no—
210C23×C11—42no—
211C23×C11—42no—
212C23×C11—42no—
213C23×C11—42no—
214C23×C11—42no—
215C23×C11—42no—
216C23×C11—44no—
217C23×C11—44no—
218C23×C11—44no—
219C23×C11—44no—
220C23×C11—44no—
221C23×C11—44no—
222C23×C11—82no—
223C23×C11—82no—
224C23×C11—82no—
225C23×C11—82no—
226C23×C11—82no—
227C23×C11—82no—
228C23×C11—81no—
229C23×C11—81no—
230C23×C11—81no—
231C23×C11—81no—
232C23×C11C2×C22⋊C411yescharacteristic
233C23×C11#12011yescharacteristic
234C23×C11#12111yescharacteristic
235C23×C11C22⋊Q811yescharacteristic
236C23×C11#12311yescharacteristic
237C23×C11#12411yescharacteristic
238C23×C11#12711yescharacteristic
239C23×C11#13512yes—
240C23×C11#13512yes—
241C23×C11AGL(1,ℤ/8)12yes—
242C23×C11AGL(1,ℤ/8)12yes—
243D4×C11—24no—
244D4×C11—24no—
245D4×C11—42no—
246D4×C11—42no—
247D4×C11—42no—
248D4×C11—42no—
249D4×C11—42no—
250D4×C11—42no—
251C2×C4×C11—42no—
252C2×C4×C11—44no—
253C2×C4×C11—82no—
254C2×C4×C11—81no—
255C2×C4×C11—81no—
256C2×C4×C11C2×C4⋊C411yescharacteristic
257C2×C4×C11#11711yescharacteristic
258C2×C4×C11C4×D411yescharacteristic
259C2×C4×C11C4×D411yescharacteristic
260C2×C4×C11C4×D411yescharacteristic
261C2×C4×C11C4×D411yescharacteristic
262C2×C4×C11#12011yescharacteristic
263C2×C4×C11#12011yescharacteristic
264C2×C4×C11#12111yescharacteristic
265C2×C4×C11#12111yescharacteristic
266C2×C4×C11#12111yescharacteristic
267C2×C4×C11#12111yescharacteristic
268C2×C4×C11#12111yescharacteristic
269C2×C4×C11#12111yescharacteristic
270C2×C4×C11#12111yescharacteristic
271C2×C4×C11C22⋊Q811yescharacteristic
272C2×C4×C11C22⋊Q811yescharacteristic
273C2×C4×C11C22⋊Q811yescharacteristic
274C2×C4×C11C22⋊Q811yescharacteristic
275C2×C4×C11C22⋊Q811yescharacteristic
276C2×C4×C11#12311yescharacteristic
277C2×C4×C11#12311yescharacteristic
278C2×C4×C11#12311yescharacteristic
279C2×C4×C11#12311yescharacteristic
280C2×C4×C11#12411yescharacteristic
281C2×C4×C11#12411yescharacteristic
282C2×C4×C11#12611yescharacteristic
283C2×C4×C11#12611yescharacteristic
284C2×Dic11—24no—
285C2×Dic11—24no—
286C2×Dic11—24no—
287C2×Dic11—42no—
288C2×Dic11—42no—
289C2×Dic11—42no—
290C2×Dic11—42no—
291C2×Dic11—42no—
292C2×Dic11—42no—
293C2×Dic11—44no—
294C2×Dic11—44no—
295C2×Dic11—82no—
296C2×Dic11—82no—
297C2×Dic11—81no—
298C2×Dic11—81no—
299C2×Dic11—81no—
300C2×Dic11—81no—
301C8×C11—42no—
302C11⋊C8—42no—
303C23×D4C2×D1111yescharacteristic
304C23×C8—111no—
305C23×C8C2×D1111yescharacteristic
306C22×C4⋊C4—111no—
307C22×C4⋊C4—111no—
308C22×C4⋊C4C2×D1111yescharacteristic
309C22×C22⋊C4—222no—
310C22×C42—111no—
311C2×#102—22no—
312C2×#102—22no—
313C2×#102—22no—
314C2×#102—222no—
315C2×#102—222no—
316C2×#102—222no—
317#390—114no—
318#390—222no—
319#382—222no—
320#382—222no—
321C2×#95—222no—
322#340—222no—
323#340—222no—
324#336—222no—
325C22×C11—48no—
326C22×C11—44no—
327C22×C11—84no—
328C22×C11—82no—
329C22×C11—82no—
330C22×C11—84no—
331C22×C11—82no—
332C22×C11—82no—
333C22×C11—82no—
334C22×C11—82no—
335C22×C11—84no—
336C22×C11#38011yescharacteristic
337C22×C11#38611yescharacteristic
338C22×C11#39011yescharacteristic
339C22×C11#39211yescharacteristic
340C22×C11#39311yescharacteristic
341C22×C11#39711yescharacteristic
342C22×C11#39911yescharacteristic
343C22×C11#41612yes—
344C22×C11#41812yes—
345C22×C11#44912yes—
346C22×C11#44912yes—
347C22×C11#46312yes—
348C22×C11#46312yes—
349C22×C11#47812yes—
350C22×C11#47812yes—
351C22×C11#48212yes—
352C22×C11#48212yes—
353C22×C11#48812yes—
354C22×C11#49012yes—
355C22×C11#49511yescharacteristic
356C22×C11#49511yescharacteristic
357C22×C11#49611yescharacteristic
358C22×C11#49611yescharacteristic
359C4×C11—82no—
360C4×C11#38511yescharacteristic
361C4×C11#38511yescharacteristic
362C4×C11#38811yescharacteristic
363C4×C11#38811yescharacteristic
364C4×C11#39411yescharacteristic
365C4×C11#39411yescharacteristic
366C4×C11#39611yescharacteristic
367C4×C11#39611yescharacteristic
368Dic11—44no—
369Dic11—82no—
370Dic11—82no—
371C25—21no—
372C22×D4—21no—
373C22×D4—21no—
374C22×D4—21no—
375C22×D4—21no—
376C22×D4—21no—
377C22×D4—21no—
378C22×D4—21no—
379C22×D4—21no—
380C22×D4—21no—
381C22×D4—21no—
382C22×D4—21no—
383C22×D4Dic2212yes—
384C22×D4C4×D1112yes—
385C22×D4C22⋊D1112yes—
386C23×C4—21no—
387C23×C4—112no—
388C23×C4—221no—
389C23×C4—221no—
390C23×C4C22×D1111yescharacteristic
391C22×C8—21no—
392C22×C8—21no—
393C22×C8—21no—
394C22×C8—21no—
395C22×C8—21no—
396C22×C8—21no—
397C22×C8—112no—
398C22×C8—221no—
399C22×C8—221no—
400C22×C8—221no—
401C22×C8—221no—
402C22×C8—221no—
403C22×C8—221no—
404C22×C8C22⋊D1112yes—
405C2×C4⋊C4—21no—
406C2×C4⋊C4—21no—
407C2×C4⋊C4—21no—
408C2×C4⋊C4—21no—
409C2×C4⋊C4—21no—
410C2×C4⋊C4—112no—
411C2×C4⋊C4—112no—
412C2×C4⋊C4—221no—
413C2×C4⋊C4—221no—
414C2×C4⋊C4—221no—
415C2×C4⋊C4—221no—
416C2×C4⋊C4—221no—
417C2×C4⋊C4—221no—
418C2×C4⋊C4—221no—
419C2×C4⋊C4—221no—
420C2×C4⋊C4—221no—
421C2×C4⋊C4—221no—
422C2×C4⋊C4C22⋊D1112yes—
423C2×C22⋊C4—228no—
424C2×C22⋊C4—444no—
425C2×C22⋊C4—444no—
426C2×C42—112no—
427C2×C42—112no—
428C2×C42—221no—
429C2×C42—221no—
430C2×C42—221no—
431C2×C42—221no—
432#102—28no—
433#102—228no—
434#95—228no—
435C2×C11—84no—
436C2×C11#143911yescharacteristic
437C2×C11#180412yes—
438C2×C11#187512yes—
439C2×C11#195811yescharacteristic
440C2×C11#196111yescharacteristic
441C2×C11#201211yescharacteristic
442C2×C11#201211yescharacteristic
443C2×C11#202512yes—
444C2×C11#207312yes—
445C2×C11#209211yescharacteristic
446C2×C11#209211yescharacteristic
447C24—22no—
448C24—22no—
449C24—22no—
450C24—41no—
451C24—41no—
452C24—42no—
453C24—42no—
454C24—42no—
455C24—42no—
456C24—41no—
457C24—41no—
458C24D4×D1111yescharacteristic
459C2×D4—22no—
460C2×D4—22no—
461C2×D4—22no—
462C2×D4—22no—
463C2×D4—22no—
464C2×D4—22no—
465C2×D4—22no—
466C2×D4—22no—
467C2×D4—22no—
468C2×D4—22no—
469C2×D4—22no—
470C2×D4—22no—
471C2×D4—22no—
472C2×D4—22no—
473C2×D4—22no—
474C2×D4—41no—
475C2×D4—41no—
476C2×D4—41no—
477C2×D4—41no—
478C2×D4—41no—
479C2×D4—41no—
480C2×D4—41no—
481C2×D4—41no—
482C2×D4—41no—
483C2×D4—41no—
484C2×D4—41no—
485C2×D4—41no—
486C2×D4Dic11⋊C414yes—
487C22×C4—22no—
488C22×C4—42no—
489C22×C4—42no—
490C22×C4—41no—
491C22×C4—41no—
492C22×C4—114no—
493C22×C4—222no—
494C22×C4—222no—
495C22×C4—222no—
496C22×C4—222no—
497C22×C4—222no—
498C22×C4—222no—
499C22×C4—222no—
500C22×C4—222no—
501C22×C4—441no—
502C22×C4—442no—
503C22×C4—442no—
504C22×C4—442no—
505C22×C4—442no—
506C22×C4—441no—
507C22×C4—441no—
508C22×C4—441no—
509C22×C4C2×Dic2211yescharacteristic
510C22×C4C2×C4×D1111yescharacteristic
511C22×C4#433911yescharacteristic
512C22×C4#433911yescharacteristic
513C22×C4D4×D1111yescharacteristic
514C22×C4D4×D1111yescharacteristic
515C22×C4D4×D1111yescharacteristic
516C22×C4#434111yescharacteristic
517C22×C4#434111yescharacteristic
518C22×C4#434111yescharacteristic
519C22×C4#434111yescharacteristic
520C22×C4C2×C22⋊D1111yescharacteristic
521C22×C4C2×C22⋊D1111yescharacteristic
522C22×C4C2×C22⋊D1111yescharacteristic
523C2×C8—22no—
524C2×C8—22no—
525C2×C8—22no—
526C2×C8—41no—
527C2×C8—41no—
528C2×C8—41no—
529C2×C8—41no—
530C2×C8—222no—
531C2×C8—222no—
532C2×C8—222no—
533C2×C8—441no—
534C2×C8—441no—
535C2×C8—441no—
536C2×C8—441no—
537C4⋊C4—22no—
538C4⋊C4—22no—
539C4⋊C4—41no—
540C4⋊C4—41no—
541C4⋊C4—222no—
542C4⋊C4—222no—
543C4⋊C4—222no—
544C4⋊C4—222no—
545C4⋊C4—441no—
546C4⋊C4—441no—
547C4⋊C4—441no—
548C4⋊C4—441no—
549C22⋊C4—4416no—
550C42—222no—
551C42—222no—
552C42—222no—
553C42—222no—
554C11#1105111yescharacteristic, complemented, Sylow
555C23—24no—
556C23—44no—
557C23—44no—
558C23—42no—
559C23—42no—
560C23—42no—
561C23—42no—
562C23—42no—
563C23—42no—
564C23—44no—
565C23—44no—
566C23—44no—
567C23—44no—
568C23—81no—
569C23—81no—
570C23—82no—
571C23—81no—
572C23—82no—
573C23—81no—
574C23—82no—
575C23—82no—
576C23—82no—
577C23—82no—
578C23#6693111yescharacteristic
579C23C22⋊C4×D1111yescharacteristic
580C23#6693611yescharacteristic
581C23#6693811yescharacteristic
582C23#6696412yes—
583C23#6696512yes—
584C23#6696712yes—
585C23#6696912yes—
586C23#6699011yescharacteristic
587C23#6699211yescharacteristic
588C23#6699311yescharacteristic
589D4—24no—
590D4—24no—
591D4—42no—
592D4—42no—
593D4—42no—
594D4—42no—
595D4—42no—
596D4—42no—
597C2×C4—44no—
598C2×C4—42no—
599C2×C4—82no—
600C2×C4—81no—
601C2×C4—81no—
602C2×C4—224no—
603C2×C4—224no—
604C2×C4—224no—
605C2×C4—442no—
606C2×C4—442no—
607C2×C4—442no—
608C2×C4—442no—
609C2×C4—444no—
610C2×C4—442no—
611C2×C4—442no—
612C2×C4—444no—
613C2×C4—881no—
614C2×C4—882no—
615C2×C4—881no—
616C2×C4—881no—
617C2×C4—881no—
618C2×C4—882no—
619C2×C4#6693011yescharacteristic
620C2×C4#6693111yescharacteristic
621C2×C4#6693111yescharacteristic
622C2×C4#6693111yescharacteristic
623C2×C4#6693211yescharacteristic
624C2×C4#6693211yescharacteristic
625C2×C4(C22⋊D11)⋊C411yescharacteristic
626C2×C4(C22⋊D11)⋊C411yescharacteristic
627C2×C4#6693611yescharacteristic
628C2×C4#6693711yescharacteristic
629C2×C4#6693711yescharacteristic
630C2×C4#6693811yescharacteristic
631C2×C4C2×Dic11⋊C411yescharacteristic
632C2×C4#6697711yescharacteristic
633C2×C4#6697711yescharacteristic
634C2×C4C4×C22⋊D1111yescharacteristic
635C2×C4C4×C22⋊D1111yescharacteristic
636C2×C4#6698211yescharacteristic
637C2×C4#6698811yescharacteristic
638C2×C4#6698811yescharacteristic
639C2×C4#6698911yescharacteristic
640C2×C4#6699011yescharacteristic
641C2×C4#6699111yescharacteristic
642C2×C4#6699111yescharacteristic
643C2×C4#6699211yescharacteristic
644C2×C4#6699211yescharacteristic
645C2×C4#6699211yescharacteristic
646C2×C4#6700611yescharacteristic
647C8—42no—
648C8—442no—
649C22—48no—
650C22—44no—
651C22—82no—
652C22—82no—
653C22—82no—
654C22—82no—
655C22—82no—
656C22—82no—
657C22—84no—
658C22—84no—
659C22—84no—
660C22#1062237612yes—
661C22#1062237712yes—
662C22#1062237912yes—
663C22#1062238112yes—
664C22#1062238312yes—
665C22#1062238512yes—
666C22#1062239212yes—
667C22#1062239712yes—
668C22#1062255511yescharacteristic
669C22#1062256011yescharacteristic
670C22#1062256211yescharacteristic
671C22#1062256511yescharacteristic
672C22#1062256911yescharacteristic
673C22#1062257011yescharacteristic
674C22#1062276612yes—
675C22#1062276711yescharacteristic
676C22#1062276811yescharacteristic
677C22#1062277112yes—
678C22#1062277812yes—
679C22#1062278111yescharacteristic
680C22#1062278512yes—
681C22#1062278911yescharacteristic
682C22#1062283611yescharacteristic
683C4—82no—
684C4—444no—
685C4—882no—
686C4—882no—
687C4#1062255711yescharacteristic
688C4#1062255811yescharacteristic
689C4#1062255911yescharacteristic
690C4#1062256111yescharacteristic
691C4#1062256111yescharacteristic
692C4#1062257211yescharacteristic
693C4#1062282311yescharacteristic
694C4#1062283511yescharacteristic
695C2—84no—
696C2#1306685911yescharacteristic
697C2#1306862412yes—
698C2#1306893512yes—
699C2#1306942611yescharacteristic
700C2#1306943811yescharacteristic
701C2#1306969011yescharacteristic
702C2#1306969111yescharacteristic
703C2#1306976012yes—
704C2#1307003212yes—
705C2#1307013511yescharacteristic
706C2#1307013911yescharacteristic
subgroupG/H
centerC24D4×D11
commutatorC22×C4×C11C22×C4
FrattiniC23×C4C22×D11
FittingC22×C11×#102C2
socleC24×C11C2×D4
prime radicalC23×D4×C11C22
cosocleC23×C4×C11C23
hypercenterC22×#102D11
hypocenterC11#11051
LCSG ▷ C22×C4×C11 ▷ C2×C11 ▷ C11
UCSC1 ◁ C24 ◁ C23×C4 ◁ C22×#102

Complements

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

NH ≅ G/Ntype
3. C2×#10622590C2semidirect
4. C2×#10622189C2semidirect
5. C2×#10622167C2semidirect
6. C2×#10622188C2semidirect
20. #10622834C4semidirect
554. C11#11051semidirect

Maximal subgroups

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

subgroupindex
C22×#668962
C2×#106228342
C2×#106225902
C2×#106221892
C2×#106221672
C2×#106221882
C22×C11×#1022
#1105111