Finite Group Databasebeta

← C2×#13072999 #14922741

Subgroups — C2×#13072999 #14922741

Order 2816.

2398 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
1#13072999C2116yesmaximal, direct product factor
2C2×C11⋊#401C211yesmaximal, characteristic, complemented
3C2×#10622273C211yesmaximal, characteristic, complemented
4C2×#10622599C211yesmaximal, characteristic, complemented
5C2×#10622595C211yesmaximal, characteristic, complemented
6C2×#10622594C211yesmaximal, characteristic, complemented
7C2×#10622267C211yesmaximal, characteristic, complemented
8C2×#10622591C211yesmaximal, characteristic, complemented
9C2×#10622559C211yesmaximal, characteristic
10C2×#10622264C211yesmaximal, characteristic, complemented
11C2×#10622556C211yesmaximal, characteristic
12C2×#10622556C211yesmaximal, characteristic
13C2×#10622825C211yesmaximal, characteristic
14C2×C22⋊C4×Dic11C211yesmaximal, characteristic
15C22×C11⋊#95C211yesmaximal, characteristic
16C2×C11×#385C211yesmaximal, characteristic
17C24×C4×C11C2211yescharacteristic
18C24×Dic11C2211yescharacteristic
19C24×Dic11C2211yescharacteristic
20C22×C11×C4⋊C4C2211yescharacteristic
21C22×C11×C4⋊C4C2211yescharacteristic
22C22×C11×C22⋊C4C2211yescharacteristic
23C22×C11×C22⋊C4C2211yescharacteristic
24C22×C22⋊Dic11C2211yescharacteristic
25C22×C22⋊Dic11C2211yescharacteristic
26C22×C4⋊Dic11C2211yescharacteristic
27C22×C4⋊Dic11C2211yescharacteristic
28C22×Dic11⋊C4C2211yescharacteristic
29C22×Dic11⋊C4C2211yescharacteristic
30C22×C4×Dic11C2211yescharacteristic
31C22×C4×Dic11C2211yescharacteristic
32C11×#385C2218yes—
33C2×C11×#95C2211yescharacteristic
34C2×C11×#95C2211yescharacteristic
35#10622825C2218yes—
36C2×C11⋊#95C2211yescharacteristic
37C2×C11⋊#95C2211yescharacteristic
38C2×C11⋊#95C2211yescharacteristic
39C2×C11⋊#95C2211yescharacteristic
40C2×C11⋊#95C2211yescharacteristic
41C2×C11⋊#95C2211yescharacteristic
42C2×C11⋊#95C2218yes—
43C2×C11⋊#95C2211yescharacteristic
44C2×C11⋊#95C2211yescharacteristic
45C2×C11⋊#95C2211yescharacteristic
46C2×C11⋊#95C2211yescharacteristic
47C2×C11⋊#95C2211yescharacteristic
48C2×C11⋊#95C2211yescharacteristic
49C2×C11⋊#95C2211yescharacteristic
50C2×C11⋊#95C2211yescharacteristic
51C2×C11⋊#95C2211yescharacteristic
52C2×C11⋊#95C2211yescharacteristic
53C2×C11⋊#95C2211yescharacteristic
54C2×C11⋊#95C2211yescharacteristic
55#10622599C2218yescomplemented
56#10622595C2218yescomplemented
57#10622594C2218yescomplemented
58#10622591C2218yescomplemented
59#10622559C2218yes—
60#10622556C2218yes—
61#10622556C2218yes—
62C22⋊C4×Dic11C2218yes—
63C11⋊#401C2218yescomplemented
64#10622273C2218yescomplemented
65#10622267C2218yescomplemented
66#10622264C2218yescomplemented
67C25×C11C2311yescharacteristic
68C23×C4×C11—24no—
69C23×C4×C11—24no—
70C23×C4×C11—42no—
71C23×C4×C11C2311yescharacteristic
72C23×C4×C11C2311yescharacteristic
73C23×C4×C11C2311yescharacteristic
74C23×C4×C11C2311yescharacteristic
75C23×C4×C11C2311yescharacteristic
76C23×C4×C11C2314yes—
77C23×C4×C11C2311yescharacteristic
78C23×Dic11—24no—
79C23×Dic11—24no—
80C23×Dic11—24no—
81C23×Dic11—24no—
82C23×Dic11—24no—
83C23×Dic11—42no—
84C23×Dic11C2311yescharacteristic
85C23×Dic11C2311yescharacteristic
86C23×Dic11C2311yescharacteristic
87C23×Dic11C2311yescharacteristic
88C23×Dic11C2311yescharacteristic
89C23×Dic11C2314yes—
90C23×Dic11C2311yescharacteristic
91C23×Dic11C2311yescharacteristic
92C23×Dic11C2314yes—
93C23×Dic11C2311yescharacteristic
94C2×C11×C4⋊C4—24no—
95C2×C11×C4⋊C4—42no—
96C2×C11×C4⋊C4C2314yes—
97C2×C11×C4⋊C4C2314yes—
98C2×C11×C22⋊C4—24no—
99C2×C11×C22⋊C4—24no—
100C2×C11×C22⋊C4C2314yes—
101C2×C11×C22⋊C4C2314yes—
102C2×C22⋊Dic11—24no—
103C2×C22⋊Dic11—24no—
104C2×C22⋊Dic11C2314yes—
105C2×C22⋊Dic11C2314yes—
106C2×C4⋊Dic11—24no—
107C2×C4⋊Dic11—42no—
108C2×C4⋊Dic11C2314yes—
109C2×C4⋊Dic11C2314yes—
110C2×Dic11⋊C4—24no—
111C2×Dic11⋊C4—42no—
112C2×Dic11⋊C4C2314yes—
113C2×Dic11⋊C4C2314yes—
114C2×C4×Dic11—24no—
115C2×C4×Dic11—42no—
116C2×C4×Dic11C2314yes—
117C2×C4×Dic11C2314yes—
118C11×#95C2314yes—
119C11×#95C2314yes—
120C11⋊#95C2314yes—
121C11⋊#95C2314yes—
122C11⋊#95C2314yes—
123C11⋊#95C2314yes—
124C11⋊#95C2314yes—
125C11⋊#95C2314yes—
126C11⋊#95C2314yes—
127C11⋊#95C2314yes—
128C11⋊#95C2314yes—
129C11⋊#95C2314yes—
130C11⋊#95C2314yes—
131C11⋊#95C2314yes—
132C11⋊#95C2314yes—
133C11⋊#95C2314yes—
134C11⋊#95C2314yes—
135C11⋊#95C2314yes—
136C11⋊#95C2314yes—
137C11⋊#95C2314yes—
138C2×#2493—111nomaximal, Sylow
139C24×C11—22no—
140C24×C11—22no—
141C24×C11—22no—
142C24×C11—22no—
143C24×C11#4114yes—
144C24×C11#4114yes—
145C24×C11#4114yes—
146C24×C11C2412yes—
147C24×C11C2411yescharacteristic
148C22×C4×C11—22no—
149C22×C4×C11—22no—
150C22×C4×C11—22no—
151C22×C4×C11—22no—
152C22×C4×C11—22no—
153C22×C4×C11—22no—
154C22×C4×C11—22no—
155C22×C4×C11—22no—
156C22×C4×C11—22no—
157C22×C4×C11—22no—
158C22×C4×C11—28no—
159C22×C4×C11—22no—
160C22×C4×C11—22no—
161C22×C4×C11—22no—
162C22×C4×C11—22no—
163C22×C4×C11—22no—
164C22×C4×C11—22no—
165C22×C4×C11—22no—
166C22×C4×C11—28no—
167C22×C4×C11—44no—
168C22×C4×C11—416no—
169C22×C4×C11#4114yes—
170C22×C4×C11C2412yes—
171C22×C4×C11C2412yes—
172C22×C4×C11C2412yes—
173C22×C4×C11C2412yes—
174C22×C4×C11C2412yes—
175C22×C4×C11C2412yes—
176C22×Dic11—28no—
177C22×Dic11—22no—
178C22×Dic11—22no—
179C22×Dic11—22no—
180C22×Dic11—22no—
181C22×Dic11—22no—
182C22×Dic11—22no—
183C22×Dic11—22no—
184C22×Dic11—22no—
185C22×Dic11—22no—
186C22×Dic11—28no—
187C22×Dic11—28no—
188C22×Dic11—22no—
189C22×Dic11—22no—
190C22×Dic11—22no—
191C22×Dic11—28no—
192C22×Dic11—22no—
193C22×Dic11—22no—
194C22×Dic11—28no—
195C22×Dic11—22no—
196C22×Dic11—22no—
197C22×Dic11—22no—
198C22×Dic11—22no—
199C22×Dic11—22no—
200C22×Dic11—22no—
201C22×Dic11—22no—
202C22×Dic11—22no—
203C22×Dic11—22no—
204C22×Dic11—44no—
205C22×Dic11—416no—
206C22×Dic11—416no—
207C22×Dic11#4114yes—
208C22×Dic11C2412yes—
209C22×Dic11C2412yes—
210C22×Dic11C2412yes—
211C22×Dic11C2412yes—
212C22×Dic11C2412yes—
213C22×Dic11C2412yes—
214C22×Dic11C2412yes—
215C22×Dic11C2412yes—
216C11×C4⋊C4—28no—
217C11×C4⋊C4—44no—
218C11×C22⋊C4—28no—
219C11×C22⋊C4—28no—
220C22⋊Dic11—28no—
221C22⋊Dic11—28no—
222C4⋊Dic11—28no—
223C4⋊Dic11—44no—
224Dic11⋊C4—28no—
225Dic11⋊C4—44no—
226C4×Dic11—28no—
227C4×Dic11—44no—
228#2493—1116no—
229C2×#401—111no—
230C2×#400—111no—
231C2×#400—111no—
232C2×#400—111no—
233C2×#387—111no—
234C2×#387—111no—
235C2×#387—111no—
236C2×#385—111no—
237C2×#385D1111yescharacteristic
238C2×#383—111no—
239C2×#381—111no—
240C2×#381—111no—
241C2×#380—111no—
242C2×C4×C22⋊C4—111no—
243C22×#95—111no—
244C23×C11—28no—
245C23×C11—28no—
246C23×C11—28no—
247C23×C11—28no—
248C23×C11—28no—
249C23×C11—28no—
250C23×C11—22no—
251C23×C11—22no—
252C23×C11—22no—
253C23×C11—22no—
254C23×C11#126116yes—
255C23×C11C2×#4114yes—
256C23×C11C2×#4112yes—
257C23×C11C2×#4114yes—
258C23×C11C2×#4112yes—
259C23×C11C2×#4112yes—
260C23×C11C2×#4114yes—
261C23×C11C2×#4112yes—
262C23×C11C2×#4112yes—
263C23×C11H(5,𝔽2)12yes—
264C23×C112−1+412yes—
265C23×C11C2511yescharacteristic
266C2×C4×C11—28no—
267C2×C4×C11—22no—
268C2×C4×C11—22no—
269C2×C4×C11—22no—
270C2×C4×C11—22no—
271C2×C4×C11—22no—
272C2×C4×C11—22no—
273C2×C4×C11—22no—
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—22no—
281C2×C4×C11—22no—
282C2×C4×C11—22no—
283C2×C4×C11—22no—
284C2×C4×C11—416no—
285C2×C4×C11—44no—
286C2×C4×C11—44no—
287C2×C4×C11—44no—
288C2×C4×C11—44no—
289C2×C4×C11—44no—
290C2×C4×C11C2×#4114yes—
291C2×Dic11—28no—
292C2×Dic11—22no—
293C2×Dic11—22no—
294C2×Dic11—22no—
295C2×Dic11—22no—
296C2×Dic11—22no—
297C2×Dic11—22no—
298C2×Dic11—22no—
299C2×Dic11—22no—
300C2×Dic11—22no—
301C2×Dic11—22no—
302C2×Dic11—22no—
303C2×Dic11—22no—
304C2×Dic11—22no—
305C2×Dic11—22no—
306C2×Dic11—22no—
307C2×Dic11—22no—
308C2×Dic11—22no—
309C2×Dic11—22no—
310C2×Dic11—22no—
311C2×Dic11—22no—
312C2×Dic11—22no—
313C2×Dic11—22no—
314C2×Dic11—22no—
315C2×Dic11—416no—
316C2×Dic11—416no—
317C2×Dic11—44no—
318C2×Dic11—44no—
319C2×Dic11—44no—
320C2×Dic11—44no—
321C2×Dic11—44no—
322C2×Dic11—44no—
323C2×Dic11—44no—
324C2×Dic11C2×#4114yes—
325C24×C4—111no—
326C24×C4—111no—
327C24×C4C2×D1111yescharacteristic
328C22×C4⋊C4—111no—
329C22×C4⋊C4—111no—
330C22×C4⋊C4—111no—
331C22×C4⋊C4—111no—
332C22×C4⋊C4C2×D1111yescharacteristic
333C22×C4⋊C4C2×D1111yescharacteristic
334C22×C22⋊C4—111no—
335C22×C22⋊C4—111no—
336C22×C22⋊C4C2×D1111yescharacteristic
337C22×C22⋊C4C2×D1111yescharacteristic
338C22×C42—111no—
339C22×C42—111no—
340#401—118no—
341#400—118no—
342#400—118no—
343#400—118no—
344#387—118no—
345#387—118no—
346#387—118no—
347#385—118no—
348#385C2×D1118yes—
349#383—118no—
350#381—118no—
351#381—118no—
352#380—118no—
353C4×C22⋊C4—118no—
354C2×#95—111no—
355C2×#95—111no—
356C2×#95—111no—
357C2×#95—111no—
358C2×#95—111no—
359C2×#95—111no—
360C2×#95—111no—
361C2×#95—111no—
362C2×#95—111no—
363C2×#95—111no—
364C2×#95—111no—
365C2×#95—111no—
366C2×#95—111no—
367C2×#95—111no—
368C2×#95—111no—
369C2×#95—118no—
370C2×#95—111no—
371C2×#95—111no—
372C2×#95—111no—
373C2×#95C2×D1111yescharacteristic
374C2×#95C2×D1111yescharacteristic
375C22×C11—24no—
376C22×C11—24no—
377C22×C11—24no—
378C22×C11—24no—
379C22×C11—24no—
380C22×C11—24no—
381C22×C11—232no—
382C22×C11C2×#12618yes—
383C22×C11C2×#12614yes—
384C22×C11#52914yes—
385C22×C11#53914yes—
386C22×C11#55114yes—
387C22×C11#55114yes—
388C22×C11#55214yes—
389C22×C11#55214yes—
390C22×C11C22×#4111yescharacteristic
391C22×C11C22×#4111yescharacteristic
392C22×C11C22×#4111yescharacteristic
393C22×C11C22×#4111yescharacteristic
394C22×C11C22×#4111yescharacteristic
395C22×C11C2×H(5,𝔽2)11yescharacteristic
396C22×C11C2×2−1+411yescharacteristic
397C4×C11—24no—
398C4×C11—42no—
399C4×C11—42no—
400C4×C11—42no—
401C4×C11—42no—
402C4×C11—42no—
403Dic11—24no—
404Dic11—42no—
405Dic11—42no—
406Dic11—42no—
407Dic11—42no—
408Dic11—42no—
409Dic11—42no—
410Dic11—42no—
411C25C22×D1111yescharacteristic
412C23×C4—24no—
413C23×C4—24no—
414C23×C4—42no—
415C23×C4—111no—
416C23×C4—114no—
417C23×C4—111no—
418C23×C4—111no—
419C23×C4—111no—
420C23×C4—111no—
421C23×C4—111no—
422C23×C4—111no—
423C23×C4—111no—
424C23×C4—114no—
425C23×C4—224no—
426C23×C4—224no—
427C23×C4—224no—
428C23×C4—224no—
429C23×C4—224no—
430C23×C4—442no—
431C23×C4C22×D1111yescharacteristic
432C23×C4C22×D1111yescharacteristic
433C23×C4C22×D1111yescharacteristic
434C23×C4C22×D1111yescharacteristic
435C23×C4C22×D1111yescharacteristic
436C23×C4C22×D1114yes—
437C23×C4C22×D1111yescharacteristic
438C2×C4⋊C4—24no—
439C2×C4⋊C4—42no—
440C2×C4⋊C4—114no—
441C2×C4⋊C4—114no—
442C2×C4⋊C4—114no—
443C2×C4⋊C4—114no—
444C2×C4⋊C4—224no—
445C2×C4⋊C4—224no—
446C2×C4⋊C4—442no—
447C2×C4⋊C4—442no—
448C2×C4⋊C4C22×D1114yes—
449C2×C4⋊C4C22×D1114yes—
450C2×C22⋊C4—24no—
451C2×C22⋊C4—24no—
452C2×C22⋊C4—114no—
453C2×C22⋊C4—114no—
454C2×C22⋊C4—224no—
455C2×C22⋊C4—224no—
456C2×C22⋊C4C22×D1114yes—
457C2×C22⋊C4C22×D1114yes—
458C2×C42—114no—
459C2×C42—114no—
460C2×C42—224no—
461C2×C42—442no—
462#95—114no—
463#95—114no—
464#95—114no—
465#95—114no—
466#95—114no—
467#95—114no—
468#95—114no—
469#95—114no—
470#95—114no—
471#95—114no—
472#95—114no—
473#95—114no—
474#95—114no—
475#95—114no—
476#95—114no—
477#95—114no—
478#95—114no—
479#95—114no—
480#95C22×D1114yes—
481#95C22×D1114yes—
482C2×C11—28no—
483C2×C11#249318yescomplemented
484C2×C11C22×#12611yescharacteristic
485C2×C11C2×#52911yescharacteristic
486C2×C11C2×#53911yescharacteristic
487C2×C11C2×#55111yescharacteristic
488C2×C11C2×#55111yescharacteristic
489C2×C11C2×#55211yescharacteristic
490C2×C11C2×#55211yescharacteristic
491C24—22no—
492C24—22no—
493C24—22no—
494C24—22no—
495C24#433914yes—
496C24#434114yes—
497C24#434314yes—
498C24C23×D1112yes—
499C24C23×D1111yescharacteristic
500C22×C4—22no—
501C22×C4—22no—
502C22×C4—22no—
503C22×C4—22no—
504C22×C4—22no—
505C22×C4—22no—
506C22×C4—22no—
507C22×C4—22no—
508C22×C4—28no—
509C22×C4—22no—
510C22×C4—22no—
511C22×C4—22no—
512C22×C4—22no—
513C22×C4—22no—
514C22×C4—22no—
515C22×C4—22no—
516C22×C4—22no—
517C22×C4—22no—
518C22×C4—28no—
519C22×C4—44no—
520C22×C4—416no—
521C22×C4—114no—
522C22×C4—112no—
523C22×C4—112no—
524C22×C4—112no—
525C22×C4—112no—
526C22×C4—112no—
527C22×C4—112no—
528C22×C4—112no—
529C22×C4—112no—
530C22×C4—228no—
531C22×C4—222no—
532C22×C4—222no—
533C22×C4—228no—
534C22×C4—228no—
535C22×C4—222no—
536C22×C4—222no—
537C22×C4—222no—
538C22×C4—222no—
539C22×C4—222no—
540C22×C4—228no—
541C22×C4—222no—
542C22×C4—222no—
543C22×C4—222no—
544C22×C4—222no—
545C22×C4—222no—
546C22×C4—222no—
547C22×C4—222no—
548C22×C4—222no—
549C22×C4—222no—
550C22×C4—228no—
551C22×C4—222no—
552C22×C4—222no—
553C22×C4—222no—
554C22×C4—222no—
555C22×C4—222no—
556C22×C4—222no—
557C22×C4—222no—
558C22×C4—444no—
559C22×C4—4416no—
560C22×C4—4416no—
561C22×C4#434114yes—
562C22×C4C23×D1112yes—
563C22×C4C23×D1112yes—
564C22×C4C23×D1112yes—
565C22×C4C23×D1112yes—
566C22×C4C23×D1112yes—
567C22×C4C23×D1112yes—
568C4⋊C4—28no—
569C4⋊C4—44no—
570C4⋊C4—228no—
571C4⋊C4—228no—
572C4⋊C4—444no—
573C4⋊C4—444no—
574C22⋊C4—28no—
575C22⋊C4—28no—
576C22⋊C4—228no—
577C22⋊C4—228no—
578C42—228no—
579C42—444no—
580C11C2×#249311yescharacteristic, complemented, Sylow
581C23—28no—
582C23—28no—
583C23—28no—
584C23—28no—
585C23—28no—
586C23—28no—
587C23—22no—
588C23—22no—
589C23—22no—
590C23—22no—
591C23#66951116yes—
592C23C2×#433914yes—
593C23C2×#433912yes—
594C23C2×#434114yes—
595C23C2×#434112yes—
596C23C2×#434112yes—
597C23#6703712yes—
598C23C2×#434314yes—
599C23C2×#434312yes—
600C23#41×D1112yes—
601C23#6704312yes—
602C23C24×D1111yescharacteristic
603C2×C4—28no—
604C2×C4—22no—
605C2×C4—22no—
606C2×C4—22no—
607C2×C4—22no—
608C2×C4—22no—
609C2×C4—22no—
610C2×C4—22no—
611C2×C4—22no—
612C2×C4—22no—
613C2×C4—22no—
614C2×C4—22no—
615C2×C4—22no—
616C2×C4—22no—
617C2×C4—22no—
618C2×C4—22no—
619C2×C4—22no—
620C2×C4—22no—
621C2×C4—416no—
622C2×C4—44no—
623C2×C4—44no—
624C2×C4—44no—
625C2×C4—44no—
626C2×C4—44no—
627C2×C4—114no—
628C2×C4—228no—
629C2×C4—222no—
630C2×C4—222no—
631C2×C4—222no—
632C2×C4—222no—
633C2×C4—222no—
634C2×C4—222no—
635C2×C4—222no—
636C2×C4—222no—
637C2×C4—222no—
638C2×C4—222no—
639C2×C4—222no—
640C2×C4—222no—
641C2×C4—222no—
642C2×C4—222no—
643C2×C4—222no—
644C2×C4—222no—
645C2×C4—222no—
646C2×C4—222no—
647C2×C4—222no—
648C2×C4—222no—
649C2×C4—222no—
650C2×C4—222no—
651C2×C4—222no—
652C2×C4—4416no—
653C2×C4—4416no—
654C2×C4—444no—
655C2×C4—444no—
656C2×C4—444no—
657C2×C4—444no—
658C2×C4—444no—
659C2×C4—444no—
660C2×C4—444no—
661C2×C4C2×#434114yes—
662C22—24no—
663C22—24no—
664C22—24no—
665C22—24no—
666C22—24no—
667C22—232no—
668C22—24no—
669C22C2×#6695118yes—
670C22C2×#6695114yes—
671C22#1062307214yes—
672C22#1062308714yes—
673C22#1062311814yes—
674C22#1062315514yes—
675C22#1062317614yes—
676C22#1062318114yes—
677C22C22×#433911yescharacteristic
678C22C22×#434111yescharacteristic
679C22C22×#434111yescharacteristic
680C22C2×#6703711yescharacteristic
681C22C22×#434311yescharacteristic
682C22C2×#41×D1111yescharacteristic
683C22C2×#6704311yescharacteristic
684C4—24no—
685C4—42no—
686C4—42no—
687C4—42no—
688C4—42no—
689C4—42no—
690C4—224no—
691C4—442no—
692C4—442no—
693C4—442no—
694C4—442no—
695C4—442no—
696C4—442no—
697C4—442no—
698C2—28no—
699C2#1307299918yesdirect product factor
700C2C22×#6695111yescharacteristic
701C2C2×#1062315511yescharacteristic
702C2C2×#1062317611yescharacteristic
703C2C2×#1062308711yescharacteristic
704C2C2×#1062311811yescharacteristic
705C2C2×#1062318111yescharacteristic
706C2C2×#1062307211yescharacteristic
subgroupG/H
centerC24C23×D11
commutator, cosocleC23×C11C25
FrattiniC23C24×D11
FittingC2×C11×#385C2
socleC24×C11C24
prime radicalC25×C11C23
hypercenterC2×#385D11
hypocenterC11C2×#2493
LCSG ▷ C23×C11 ▷ C11
UCSC1 ◁ C24 ◁ C2×#385

Complements

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

NH ≅ G/Ntype
1. #13072999C2direct (N × H)
2. C2×C11⋊#401C2semidirect
3. C2×#10622273C2semidirect
4. C2×#10622599C2semidirect
5. C2×#10622595C2semidirect
6. C2×#10622594C2semidirect
7. C2×#10622267C2semidirect
8. C2×#10622591C2semidirect
10. C2×#10622264C2semidirect
55. #10622599C22semidirect
56. #10622595C22semidirect
57. #10622594C22semidirect
58. #10622591C22semidirect
63. C11⋊#401C22semidirect
64. #10622273C22semidirect
65. #10622267C22semidirect
66. #10622264C22semidirect
483. C2×C11#2493semidirect
580. C11C2×#2493semidirect
699. C2#13072999direct (N × H)

Maximal subgroups

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

subgroupindex
#130729992
C2×C11⋊#4012
C2×#106222732
C2×#106225992
C2×#106225952
C2×#106225942
C2×#106222672
C2×#106225912
C2×#106225592
C2×#106222642
C2×#106225562
C2×#106228252
C2×C22⋊C4×Dic112
C22×C11⋊#952
C2×C11×#3852
C2×#249311