Finite Group Databasebeta

← C2×#13073400 #14923501

Subgroups — C2×#13073400 #14923501

Order 2816.

2246 conjugacy classes of subgroups.

The subgroup lattice has 704 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#13073400C2116yesmaximal, direct product factor
2C2×C11⋊#401C211yesmaximal, characteristic, complemented
3C2×#10622595C211yesmaximal, characteristic, complemented
4C2×#10622565C211yesmaximal, characteristic
5C2×#10622560C211yesmaximal, characteristic
6C2×#10622259C211yesmaximal, characteristic, complemented
7C2×#10622259C211yesmaximal, characteristic, complemented
8C2×#10622558C211yesmaximal, characteristic
9C2×#10622546C211yesmaximal, characteristic, complemented
10C2×#10622265C211yesmaximal, characteristic, complemented
11C2×#10622591C211yesmaximal, characteristic, complemented
12C2×#10622559C211yesmaximal, characteristic
13C2×#10622556C211yesmaximal, characteristic
14C2×C22⋊C4×Dic11C211yesmaximal, characteristic
15C2×#10622545C211yesmaximal, characteristic, complemented
16C2×C11×#388C211yesmaximal, characteristic
17C24×Dic11C2211yescharacteristic
18C23×Dic22C2211yescharacteristic
19C22×C11×C4⋊C4C2211yescharacteristic
20C22×C11×C22⋊C4C2211yescharacteristic
21C22×C11×C22⋊C4C2211yescharacteristic
22C22×C11×C22⋊C4C2211yescharacteristic
23C22×C42×C11C2211yescharacteristic
24C22×C22⋊Dic11C2211yescharacteristic
25C22×C22⋊Dic11C2211yescharacteristic
26C22×C22⋊Dic11C2211yescharacteristic
27C22×Dic11⋊C4C2211yescharacteristic
28C22×Dic11⋊C4C2211yescharacteristic
29C22×Dic11⋊C4C2211yescharacteristic
30C22×Dic11⋊C4C2211yescharacteristic
31C22×C4×Dic11C2211yescharacteristic
32C22×C4×Dic11C2211yescharacteristic
33C22×C4×Dic11C2211yescharacteristic
34C11×#388C2218yes—
35C2×C11×#95C2211yescharacteristic
36C2×C11×#95C2211yescharacteristic
37C2×C11⋊#95C2211yescharacteristic
38C2×C11⋊#95C2211yescharacteristic
39C2×C11⋊#95C2211yescharacteristic
40C2×C11⋊#95C2211yescharacteristic
41C2×C11⋊#95C2211yescharacteristic
42C2×C11⋊#95C2211yescharacteristic
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
53#10622595C2218yescomplemented
54#10622591C2218yescomplemented
55#10622565C2218yes—
56#10622560C2218yes—
57#10622559C2218yes—
58#10622558C2218yes—
59#10622556C2218yes—
60C22⋊C4×Dic11C2218yes—
61#10622546C2218yescomplemented
62#10622545C2218yescomplemented
63C11⋊#401C2218yescomplemented
64#10622265C2218yescomplemented
65#10622259C2218yescomplemented
66#10622259C2218yescomplemented
67C25×C11C2311yescharacteristic
68C23×C4×C11C2311yescharacteristic
69C23×C4×C11C2311yescharacteristic
70C23×C4×C11C2311yescharacteristic
71C23×C4×C11C2311yescharacteristic
72C23×C4×C11C2311yescharacteristic
73C23×C4×C11C2311yescharacteristic
74C23×Dic11—24no—
75C23×Dic11—24no—
76C23×Dic11—42no—
77C23×Dic11C2311yescharacteristic
78C23×Dic11C2311yescharacteristic
79C23×Dic11C2311yescharacteristic
80C23×Dic11C2311yescharacteristic
81C23×Dic11C2311yescharacteristic
82C23×Dic11C2314yes—
83C23×Dic11C2311yescharacteristic
84C23×Dic11C2311yescharacteristic
85C23×Dic11C2311yescharacteristic
86C22×Dic22—24no—
87C22×Dic22—24no—
88C22×Dic22—42no—
89C22×Dic22C2314yes—
90C2×C11×C4⋊C4—42no—
91C2×C11×C4⋊C4C2314yes—
92C2×C11×C22⋊C4—24no—
93C2×C11×C22⋊C4—24no—
94C2×C11×C22⋊C4—42no—
95C2×C11×C22⋊C4C2314yes—
96C2×C11×C22⋊C4C2314yes—
97C2×C11×C22⋊C4C2314yes—
98C2×C42×C11—24no—
99C2×C42×C11C2314yes—
100C2×C22⋊Dic11—24no—
101C2×C22⋊Dic11—24no—
102C2×C22⋊Dic11—24no—
103C2×C22⋊Dic11C2314yes—
104C2×C22⋊Dic11C2314yes—
105C2×C22⋊Dic11C2314yes—
106C2×Dic11⋊C4—24no—
107C2×Dic11⋊C4—24no—
108C2×Dic11⋊C4—24no—
109C2×Dic11⋊C4—42no—
110C2×Dic11⋊C4C2314yes—
111C2×Dic11⋊C4C2314yes—
112C2×Dic11⋊C4C2314yes—
113C2×Dic11⋊C4C2314yes—
114C2×C4×Dic11—24no—
115C2×C4×Dic11—24no—
116C2×C4×Dic11—42no—
117C2×C4×Dic11C2314yes—
118C2×C4×Dic11C2314yes—
119C2×C4×Dic11C2314yes—
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×#2527—111nomaximal, Sylow
139C24×C11—22no—
140C24×C11—22no—
141C24×C11—22no—
142C24×C11—22no—
143C24×C11—22no—
144C24×C11—22no—
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—22no—
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#4114yes—
166C22×C4×C11C2412yes—
167C22×C4×C11C2412yes—
168C22×C4×C11C2412yes—
169C22×C4×C11C2412yes—
170C22×C4×C11C2412yes—
171C22×C4×C11C2412yes—
172C22×Dic11—28no—
173C22×Dic11—22no—
174C22×Dic11—22no—
175C22×Dic11—22no—
176C22×Dic11—22no—
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—22no—
188C22×Dic11—22no—
189C22×Dic11—22no—
190C22×Dic11—22no—
191C22×Dic11—22no—
192C22×Dic11—22no—
193C22×Dic11—22no—
194C22×Dic11—22no—
195C22×Dic11—44no—
196C22×Dic11—416no—
197C22×Dic11#4114yes—
198C22×Dic11#4114yes—
199C22×Dic11#4114yes—
200C22×Dic11C2412yes—
201C22×Dic11C2412yes—
202C22×Dic11C2412yes—
203C22×Dic11C2412yes—
204C22×Dic11C2412yes—
205C22×Dic11C2412yes—
206C22×Dic11C2412yes—
207C22×Dic11C2412yes—
208C2×Dic22—28no—
209C2×Dic22—28no—
210C2×Dic22—44no—
211C2×Dic22—416no—
212C11×C4⋊C4—44no—
213C11×C22⋊C4—28no—
214C11×C22⋊C4—28no—
215C11×C22⋊C4—44no—
216C42×C11—28no—
217C22⋊Dic11—28no—
218C22⋊Dic11—28no—
219C22⋊Dic11—28no—
220Dic11⋊C4—28no—
221Dic11⋊C4—28no—
222Dic11⋊C4—28no—
223Dic11⋊C4—44no—
224C4×Dic11—28no—
225C4×Dic11—28no—
226C4×Dic11—44no—
227#2527—1116no—
228C2×#401—111no—
229C2×#400—111no—
230C2×#397—111no—
231C2×#393—111no—
232C2×#391—111no—
233C2×#391—111no—
234C2×#388—111no—
235C2×#388D1111yescharacteristic
236C2×#387—111no—
237C2×#387—111no—
238C2×#387—111no—
239C2×#385—111no—
240C2×#381—111no—
241C2×C4×C22⋊C4—111no—
242C2×#376—111no—
243C23×C11—28no—
244C23×C11—28no—
245C23×C11—28no—
246C23×C11—22no—
247C23×C11—22no—
248C23×C11—22no—
249C23×C11—22no—
250C23×C11—22no—
251C23×C11—22no—
252C23×C11—44no—
253C23×C11—44no—
254C23×C11—44no—
255C23×C11—44no—
256C23×C11C2×#4114yes—
257C23×C11C2×#4112yes—
258C23×C11C2×#4112yes—
259C23×C11C2×#4112yes—
260C23×C11C2×#4112yes—
261C23×C11C2×#4112yes—
262C23×C11H(5,𝔽2)12yes—
263C23×C112−1+412yes—
264C23×C11C2511yescharacteristic
265C2×C4×C11—28no—
266C2×C4×C11—22no—
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—44no—
284C2×C4×C11—44no—
285C2×C4×C11—44no—
286C2×C4×C11—44no—
287C2×C4×C11—44no—
288C2×C4×C11C2×#4114yes—
289C2×Dic11—28no—
290C2×Dic11—28no—
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—416no—
314C2×Dic11—44no—
315C2×Dic11—44no—
316C2×Dic11—44no—
317C2×Dic11—44no—
318C2×Dic11—44no—
319C2×Dic11C2×#4114yes—
320C2×Dic11C2×#4114yes—
321C2×Dic11C2×#4114yes—
322Dic22—416no—
323C23×Q8—111no—
324C24×C4—111no—
325C22×C4⋊C4—111no—
326C22×C4⋊C4—111no—
327C22×C4⋊C4—111no—
328C22×C4⋊C4—111no—
329C22×C4⋊C4C2×D1111yescharacteristic
330C22×C22⋊C4—111no—
331C22×C22⋊C4—111no—
332C22×C22⋊C4—111no—
333C22×C22⋊C4C2×D1111yescharacteristic
334C22×C22⋊C4C2×D1111yescharacteristic
335C22×C22⋊C4C2×D1111yescharacteristic
336C22×C42—111no—
337C22×C42—111no—
338C22×C42—111no—
339C22×C42C2×D1111yescharacteristic
340#401—118no—
341#400—118no—
342#397—118no—
343#393—118no—
344#391—118no—
345#391—118no—
346#388—118no—
347#388C2×D1118yes—
348#387—118no—
349#387—118no—
350#387—118no—
351#385—118no—
352#381—118no—
353C4×C22⋊C4—118no—
354#376—118no—
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—111no—
370C2×#95—111no—
371C2×#95C2×D1111yescharacteristic
372C2×#95C2×D1111yescharacteristic
373C22×C11—24no—
374C22×C11—24no—
375C22×C11—24no—
376C22×C11—42no—
377C22×C11—42no—
378C22×C11—42no—
379C22×C11—42no—
380C22×C11—416no—
381C22×C11#52914yes—
382C22×C11#52914yes—
383C22×C11#54214yes—
384C22×C11#55114yes—
385C22×C11#55114yes—
386C22×C11#55214yes—
387C22×C11#55614yes—
388C22×C11C22×#4111yescharacteristic
389C22×C11C22×#4111yescharacteristic
390C22×C11C22×#4111yescharacteristic
391C22×C11C22×#4111yescharacteristic
392C22×C11C22×#4111yescharacteristic
393C22×C11C2×H(5,𝔽2)11yescharacteristic
394C22×C11C2×2−1+411yescharacteristic
395C4×C11—24no—
396C4×C11—42no—
397C4×C11—42no—
398C4×C11—42no—
399C4×C11—42no—
400C4×C11—42no—
401Dic11—24no—
402Dic11—24no—
403Dic11—24no—
404Dic11—42no—
405Dic11—42no—
406Dic11—42no—
407Dic11—42no—
408Dic11—42no—
409C25C22×D1111yescharacteristic
410C22×Q8—114no—
411C22×Q8—224no—
412C22×Q8—224no—
413C22×Q8—442no—
414C23×C4—111no—
415C23×C4—111no—
416C23×C4—111no—
417C23×C4—111no—
418C23×C4—111no—
419C23×C4—111no—
420C23×C4—111no—
421C23×C4—111no—
422C23×C4—114no—
423C23×C4—224no—
424C23×C4—224no—
425C23×C4—442no—
426C23×C4C22×D1111yescharacteristic
427C23×C4C22×D1111yescharacteristic
428C23×C4C22×D1111yescharacteristic
429C23×C4C22×D1111yescharacteristic
430C23×C4C22×D1111yescharacteristic
431C23×C4C22×D1111yescharacteristic
432C2×C4⋊C4—42no—
433C2×C4⋊C4—114no—
434C2×C4⋊C4—114no—
435C2×C4⋊C4—114no—
436C2×C4⋊C4—114no—
437C2×C4⋊C4—224no—
438C2×C4⋊C4—224no—
439C2×C4⋊C4—224no—
440C2×C4⋊C4—442no—
441C2×C4⋊C4C22×D1114yes—
442C2×C22⋊C4—24no—
443C2×C22⋊C4—24no—
444C2×C22⋊C4—42no—
445C2×C22⋊C4—114no—
446C2×C22⋊C4—114no—
447C2×C22⋊C4—114no—
448C2×C22⋊C4—224no—
449C2×C22⋊C4—224no—
450C2×C22⋊C4—224no—
451C2×C22⋊C4C22×D1114yes—
452C2×C22⋊C4C22×D1114yes—
453C2×C22⋊C4C22×D1114yes—
454C2×C42—24no—
455C2×C42—114no—
456C2×C42—114no—
457C2×C42—114no—
458C2×C42—224no—
459C2×C42—224no—
460C2×C42—442no—
461C2×C42C22×D1114yes—
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#95C22×D1114yes—
479#95C22×D1114yes—
480C2×C11—44no—
481C2×C11#252718yescomplemented
482C2×C11C2×#52911yescharacteristic
483C2×C11C2×#52911yescharacteristic
484C2×C11C2×#54211yescharacteristic
485C2×C11C2×#55111yescharacteristic
486C2×C11C2×#55111yescharacteristic
487C2×C11C2×#55211yescharacteristic
488C2×C11C2×#55611yescharacteristic
489C24—22no—
490C24—22no—
491C24—22no—
492C24—22no—
493C24—22no—
494C24—22no—
495C24#433914yes—
496C24C23×D1112yes—
497C24C23×D1111yescharacteristic
498C2×Q8—228no—
499C2×Q8—228no—
500C2×Q8—444no—
501C2×Q8—4416no—
502C22×C4—22no—
503C22×C4—22no—
504C22×C4—22no—
505C22×C4—22no—
506C22×C4—22no—
507C22×C4—22no—
508C22×C4—22no—
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—22no—
519C22×C4—114no—
520C22×C4—114no—
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—222no—
534C22×C4—222no—
535C22×C4—222no—
536C22×C4—222no—
537C22×C4—222no—
538C22×C4—222no—
539C22×C4—228no—
540C22×C4—222no—
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—222no—
551C22×C4—222no—
552C22×C4—222no—
553C22×C4—444no—
554C22×C4—4416no—
555C22×C4#434114yes—
556C22×C4C23×D1112yes—
557C22×C4C23×D1112yes—
558C22×C4C23×D1112yes—
559C22×C4C23×D1112yes—
560C22×C4C23×D1112yes—
561C22×C4C23×D1112yes—
562C4⋊C4—44no—
563C4⋊C4—228no—
564C4⋊C4—228no—
565C4⋊C4—228no—
566C4⋊C4—444no—
567C22⋊C4—28no—
568C22⋊C4—28no—
569C22⋊C4—44no—
570C22⋊C4—228no—
571C22⋊C4—228no—
572C22⋊C4—228no—
573C42—28no—
574C42—228no—
575C42—228no—
576C42—444no—
577C11C2×#252711yescharacteristic, complemented, Sylow
578C23—28no—
579C23—28no—
580C23—28no—
581C23—22no—
582C23—22no—
583C23—22no—
584C23—22no—
585C23—22no—
586C23—22no—
587C23—44no—
588C23—44no—
589C23—44no—
590C23—44no—
591C23C2×#433914yes—
592C23C2×#433912yes—
593C23C2×#434112yes—
594C23#6703712yes—
595C23#41×D1112yes—
596C23#41×D1112yes—
597C23#41×D1112yes—
598C23#6704312yes—
599C23C24×D1111yescharacteristic
600Q8—4416no—
601C2×C4—28no—
602C2×C4—22no—
603C2×C4—22no—
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—44no—
620C2×C4—44no—
621C2×C4—44no—
622C2×C4—44no—
623C2×C4—44no—
624C2×C4—114no—
625C2×C4—114no—
626C2×C4—114no—
627C2×C4—228no—
628C2×C4—222no—
629C2×C4—222no—
630C2×C4—222no—
631C2×C4—222no—
632C2×C4—222no—
633C2×C4—222no—
634C2×C4—228no—
635C2×C4—228no—
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—4416no—
652C2×C4—444no—
653C2×C4—444no—
654C2×C4—444no—
655C2×C4—444no—
656C2×C4—444no—
657C2×C4C2×#434114yes—
658C22—24no—
659C22—24no—
660C22—24no—
661C22—42no—
662C22—42no—
663C22—42no—
664C22—42no—
665C22—416no—
666C22#1062306214yes—
667C22#1062306914yes—
668C22#1062308714yes—
669C22#1062313414yes—
670C22#1062318014yes—
671C22#1062321014yes—
672C22#1062323314yes—
673C22C22×#433911yescharacteristic
674C22C22×#434111yescharacteristic
675C22C2×#6703711yescharacteristic
676C22C2×#41×D1111yescharacteristic
677C22C2×#41×D1111yescharacteristic
678C22C2×#41×D1111yescharacteristic
679C22C2×#6704311yescharacteristic
680C4—24no—
681C4—42no—
682C4—42no—
683C4—42no—
684C4—42no—
685C4—42no—
686C4—224no—
687C4—224no—
688C4—224no—
689C4—442no—
690C4—442no—
691C4—442no—
692C4—442no—
693C4—442no—
694C2—44no—
695C2#1307340018yesdirect product factor
696C2C2×#1062318011yescharacteristic
697C2C2×#1062306911yescharacteristic
698C2C2×#1062313411yescharacteristic
699C2C2×#1062308711yescharacteristic
700C2C2×#1062321011yescharacteristic
701C2C2×#1062306211yescharacteristic
702C2C2×#1062323311yescharacteristic
subgroupG/H
centerC24C23×D11
commutator, cosocleC23×C11C25
FrattiniC23C24×D11
FittingC2×C11×#388C2
socleC24×C11C24
prime radicalC25×C11C23
hypercenterC2×#388D11
hypocenterC11C2×#2527
LCSG ▷ C23×C11 ▷ C11
UCSC1 ◁ C24 ◁ C2×#388

Complements

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

NH ≅ G/Ntype
1. #13073400C2direct (N × H)
2. C2×C11⋊#401C2semidirect
3. C2×#10622595C2semidirect
6. C2×#10622259C2semidirect
7. C2×#10622259C2semidirect
9. C2×#10622546C2semidirect
10. C2×#10622265C2semidirect
11. C2×#10622591C2semidirect
15. C2×#10622545C2semidirect
53. #10622595C22semidirect
54. #10622591C22semidirect
61. #10622546C22semidirect
62. #10622545C22semidirect
63. C11⋊#401C22semidirect
64. #10622265C22semidirect
65. #10622259C22semidirect
66. #10622259C22semidirect
481. C2×C11#2527semidirect
577. C11C2×#2527semidirect
695. C2#13073400direct (N × H)

Maximal subgroups

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

subgroupindex
#130734002
C2×C11⋊#4012
C2×#106225952
C2×#106225652
C2×#106225602
C2×#106222592
C2×#106225582
C2×#106225462
C2×#106222652
C2×#106225912
C2×#106225592
C2×#106225562
C2×C22⋊C4×Dic112
C2×#106225452
C2×C11×#3882
C2×#252711