Finite Group Databasebeta

← C2×#13073262 #14922769

Subgroups — C2×#13073262 #14922769

Order 2816.

2182 conjugacy classes of subgroups.

The subgroup lattice has 700 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#13073262C2116yesmaximal, direct product factor
2C2×#10622605C211yesmaximal, characteristic
3C2×#10622288C211yesmaximal, characteristic
4C2×#10622288C211yesmaximal, characteristic
5C2×#10622288C211yesmaximal, characteristic
6C2×#10622546C211yesmaximal, characteristic, complemented
7C2×#10622265C211yesmaximal, characteristic, complemented
8C2×#10622265C211yesmaximal, characteristic, complemented
9C2×#10622591C211yesmaximal, characteristic, complemented
10C2×#10622591C211yesmaximal, characteristic, complemented
11C2×#10622602C211yesmaximal, characteristic
12C2×#10622263C211yesmaximal, characteristic, complemented
13C2×#10622263C211yesmaximal, characteristic, complemented
14C2×C4×(C2×D11)⋊C4C211yesmaximal, characteristic
15C2×#10622279C211yesmaximal, characteristic
16C2×C11×#387C211yesmaximal, characteristic, complemented
17C23×C4×D11C2211yescharacteristic
18C22×C11×C4⋊C4C2211yescharacteristic
19C22×C11×C4⋊C4C2211yescharacteristic
20C22×C42×C11C2211yescharacteristic
21C22×(C2×D11)⋊C4C2211yescharacteristic
22C22×(C2×D11)⋊C4C2211yescharacteristic
23C22×(C2×D11)⋊C4C2211yescharacteristic
24C22×(C2×D11)⋊C4C2211yescharacteristic
25C22×(C2×D11)⋊C4C2211yescharacteristic
26C22×(C2×D11)⋊C4C2211yescharacteristic
27C22×Dic11⋊C4C2211yescharacteristic
28C22×Dic11⋊C4C2211yescharacteristic
29C22×Dic11⋊C4C2211yescharacteristic
30C22×Dic11⋊C4C2211yescharacteristic
31C22×Dic11⋊C4C2211yescharacteristic
32C22×Dic11⋊C4C2211yescharacteristic
33C22×C4×Dic11C2211yescharacteristic
34C22×C4×Dic11C2211yescharacteristic
35C22×C4×Dic11C2211yescharacteristic
36C11×#387C2218yescomplemented
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#10622605C2218yes—
54#10622602C2218yes—
55#10622591C2218yescomplemented
56#10622591C2218yescomplemented
57C4×(C2×D11)⋊C4C2218yes—
58#10622546C2218yescomplemented
59#10622288C2218yes—
60#10622288C2218yes—
61#10622288C2218yes—
62#10622279C2218yes—
63#10622265C2218yescomplemented
64#10622265C2218yescomplemented
65#10622263C2218yescomplemented
66#10622263C2218yescomplemented
67C24×D11C2311yescharacteristic
68C23×C4×C11C2311yescharacteristic
69C23×C4×C11C2311yescharacteristic
70C23×C4×C11C2311yescharacteristic
71C23×C4×C11C2311yescharacteristic
72C23×C4×C11C2311yescharacteristic
73C23×C4×C11C2311yescharacteristic
74C23×C4×C11C2311yescharacteristic
75C23×Dic11C2311yescharacteristic
76C23×Dic11C2311yescharacteristic
77C23×Dic11C2311yescharacteristic
78C23×Dic11C2311yescharacteristic
79C23×Dic11C2311yescharacteristic
80C23×Dic11C2311yescharacteristic
81C23×Dic11C2311yescharacteristic
82C22×C4×D11—24no—
83C22×C4×D11—24no—
84C22×C4×D11—42no—
85C22×C4×D11C2314yes—
86C2×C11×C4⋊C4—24no—
87C2×C11×C4⋊C4—42no—
88C2×C11×C4⋊C4C2314yes—
89C2×C11×C4⋊C4C2314yes—
90C2×C42×C11—42no—
91C2×C42×C11C2314yes—
92C2×(C2×D11)⋊C4—24no—
93C2×(C2×D11)⋊C4—24no—
94C2×(C2×D11)⋊C4—24no—
95C2×(C2×D11)⋊C4—24no—
96C2×(C2×D11)⋊C4—24no—
97C2×(C2×D11)⋊C4—42no—
98C2×(C2×D11)⋊C4C2314yes—
99C2×(C2×D11)⋊C4C2314yes—
100C2×(C2×D11)⋊C4C2314yes—
101C2×(C2×D11)⋊C4C2314yes—
102C2×(C2×D11)⋊C4C2314yes—
103C2×(C2×D11)⋊C4C2314yes—
104C2×Dic11⋊C4—24no—
105C2×Dic11⋊C4—24no—
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×Dic11⋊C4C2314yes—
115C2×Dic11⋊C4C2314yes—
116C2×C4×Dic11—24no—
117C2×C4×Dic11—24no—
118C2×C4×Dic11—42no—
119C2×C4×Dic11C2314yes—
120C2×C4×Dic11C2314yes—
121C2×C4×Dic11C2314yes—
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×#2517—111nomaximal, Sylow
139C24×C11C2411yescharacteristic
140C23×D11—22no—
141C23×D11—22no—
142C23×D11—22no—
143C23×D11—22no—
144C23×D11—22no—
145C23×D11—22no—
146C23×D11#4114yes—
147C23×D11C2412yes—
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—22no—
166C22×C4×C11—22no—
167C22×C4×C11—22no—
168C22×C4×C11#4114yes—
169C22×C4×C11C2412yes—
170C22×C4×C11C2412yes—
171C22×C4×C11C2412yes—
172C22×C4×C11C2412yes—
173C22×C4×C11C2412yes—
174C22×C4×C11C2412yes—
175C22×C4×C11C2412yes—
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—22no—
187C22×Dic11—22no—
188C22×Dic11—22no—
189C22×Dic11—22no—
190C22×Dic11—22no—
191C22×Dic11—22no—
192C22×Dic11—22no—
193C22×Dic11—22no—
194C22×Dic11#4114yes—
195C22×Dic11#4114yes—
196C22×Dic11#4114yes—
197C22×Dic11C2412yes—
198C22×Dic11C2412yes—
199C22×Dic11C2412yes—
200C22×Dic11C2412yes—
201C22×Dic11C2412yes—
202C22×Dic11C2412yes—
203C22×Dic11C2412yes—
204C2×C4×D11—28no—
205C2×C4×D11—28no—
206C2×C4×D11—44no—
207C2×C4×D11—416no—
208C11×C4⋊C4—28no—
209C11×C4⋊C4—44no—
210C42×C11—44no—
211(C2×D11)⋊C4—28no—
212(C2×D11)⋊C4—28no—
213(C2×D11)⋊C4—28no—
214(C2×D11)⋊C4—28no—
215(C2×D11)⋊C4—28no—
216(C2×D11)⋊C4—44no—
217Dic11⋊C4—28no—
218Dic11⋊C4—28no—
219Dic11⋊C4—28no—
220Dic11⋊C4—28no—
221Dic11⋊C4—28no—
222Dic11⋊C4—44no—
223C4×Dic11—28no—
224C4×Dic11—28no—
225C4×Dic11—44no—
226#2517—1116no—
227C2×#399—111no—
228C2×#397—111no—
229C2×#397—111no—
230C2×#397—111no—
231C2×#387—111no—
232C2×#387—111no—
233C2×#387—111no—
234C2×#387—111no—
235C2×#387—111no—
236C2×#387D1111yescharacteristic, complemented
237C2×#385—111no—
238C2×#382—111no—
239C2×#382—111no—
240C2×C4×C22⋊C4—111no—
241C2×C4×C22⋊C4—111no—
242C23×C11C2×#4112yes—
243C23×C11C2×#4112yes—
244C23×C11C2×#4112yes—
245C23×C11C2×#4112yes—
246C23×C11C2×#4112yes—
247C23×C11H(5,𝔽2)12yes—
248C23×C112−1+412yes—
249C23×C11C2511yescharacteristic
250C22×D11—28no—
251C22×D11—28no—
252C22×D11—28no—
253C22×D11—22no—
254C22×D11—22no—
255C22×D11—22no—
256C22×D11—22no—
257C22×D11—22no—
258C22×D11—22no—
259C22×D11—44no—
260C22×D11—44no—
261C22×D11—44no—
262C22×D11—44no—
263C22×D11C2×#4114yes—
264C2×C4×C11—28no—
265C2×C4×C11—22no—
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—22no—
284C2×C4×C11—22no—
285C2×C4×C11—44no—
286C2×C4×C11—44no—
287C2×C4×C11—44no—
288C2×C4×C11—44no—
289C2×C4×C11—44no—
290C2×C4×C11—44no—
291C2×C4×C11C2×#4114yes—
292C2×Dic11—28no—
293C2×Dic11—28no—
294C2×Dic11—28no—
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—44no—
314C2×Dic11—44no—
315C2×Dic11—44no—
316C2×Dic11—44no—
317C2×Dic11C2×#4114yes—
318C2×Dic11C2×#4114yes—
319C2×Dic11C2×#4114yes—
320C4×D11—416no—
321C24×C4—111no—
322C22×C4⋊C4—111no—
323C22×C4⋊C4—111no—
324C22×C4⋊C4—111no—
325C22×C4⋊C4—111no—
326C22×C4⋊C4—111no—
327C22×C4⋊C4—111no—
328C22×C4⋊C4C2×D1111yescharacteristic
329C22×C4⋊C4C2×D1111yescharacteristic
330C22×C22⋊C4—111no—
331C22×C22⋊C4—111no—
332C22×C22⋊C4—111no—
333C22×C22⋊C4—111no—
334C22×C22⋊C4—111no—
335C22×C22⋊C4—111no—
336C22×C42—111no—
337C22×C42—111no—
338C22×C42—111no—
339C22×C42C2×D1111yescharacteristic
340#399—118no—
341#397—118no—
342#397—118no—
343#397—118no—
344#387—118no—
345#387—118no—
346#387—118no—
347#387—118no—
348#387—118no—
349#387C2×D1118yescomplemented
350#385—118no—
351#382—118no—
352#382—118no—
353C4×C22⋊C4—118no—
354C4×C22⋊C4—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×#95C2×D1111yescharacteristic
368C2×#95C2×D1111yescharacteristic
369C2×#95C2×D1111yescharacteristic
370C2×#95C2×D1111yescharacteristic
371C22×C11#52914yes—
372C22×C11#52914yes—
373C22×C11#53914yes—
374C22×C11#55114yes—
375C22×C11#55214yes—
376C22×C11#55214yes—
377C22×C11#55914yes—
378C22×C11C22×#4111yescharacteristic
379C22×C11C22×#4111yescharacteristic
380C22×C11C22×#4111yescharacteristic
381C22×C11C22×#4111yescharacteristic
382C22×C11C22×#4111yescharacteristic
383C22×C11C2×H(5,𝔽2)11yescharacteristic
384C22×C11C2×2−1+411yescharacteristic
385C2×D11—24no—
386C2×D11—24no—
387C2×D11—24no—
388C2×D11—42no—
389C2×D11—42no—
390C2×D11—42no—
391C2×D11—42no—
392C2×D11—416no—
393C4×C11—24no—
394C4×C11—42no—
395C4×C11—42no—
396C4×C11—42no—
397C4×C11—42no—
398C4×C11—42no—
399C4×C11—42no—
400Dic11—24no—
401Dic11—24no—
402Dic11—24no—
403Dic11—42no—
404Dic11—42no—
405Dic11—42no—
406Dic11—42no—
407C25—111no—
408C23×C4—111no—
409C23×C4—111no—
410C23×C4—111no—
411C23×C4—111no—
412C23×C4—111no—
413C23×C4—111no—
414C23×C4—111no—
415C23×C4—114no—
416C23×C4—224no—
417C23×C4—224no—
418C23×C4—442no—
419C23×C4C22×D1111yescharacteristic
420C23×C4C22×D1111yescharacteristic
421C23×C4C22×D1111yescharacteristic
422C23×C4C22×D1111yescharacteristic
423C23×C4C22×D1111yescharacteristic
424C23×C4C22×D1111yescharacteristic
425C23×C4C22×D1111yescharacteristic
426C2×C4⋊C4—24no—
427C2×C4⋊C4—42no—
428C2×C4⋊C4—114no—
429C2×C4⋊C4—114no—
430C2×C4⋊C4—114no—
431C2×C4⋊C4—114no—
432C2×C4⋊C4—114no—
433C2×C4⋊C4—114no—
434C2×C4⋊C4—224no—
435C2×C4⋊C4—224no—
436C2×C4⋊C4—224no—
437C2×C4⋊C4—224no—
438C2×C4⋊C4—224no—
439C2×C4⋊C4—442no—
440C2×C4⋊C4C22×D1114yes—
441C2×C4⋊C4C22×D1114yes—
442C2×C22⋊C4—114no—
443C2×C22⋊C4—114no—
444C2×C22⋊C4—114no—
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⋊C4—224no—
452C2×C22⋊C4—224no—
453C2×C22⋊C4—442no—
454C2×C42—42no—
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#95C22×D1114yes—
475#95C22×D1114yes—
476#95C22×D1114yes—
477#95C22×D1114yes—
478C2×C11#251718yescomplemented
479C2×C11C2×#52911yescharacteristic
480C2×C11C2×#52911yescharacteristic
481C2×C11C2×#53911yescharacteristic
482C2×C11C2×#55111yescharacteristic
483C2×C11C2×#55211yescharacteristic
484C2×C11C2×#55211yescharacteristic
485C2×C11C2×#55911yescharacteristic
486D11—44no—
487C24—114no—
488C24—112no—
489C24—222no—
490C24—222no—
491C24—222no—
492C24—222no—
493C24—222no—
494C24—222no—
495C24C23×D1111yescharacteristic
496C22×C4—22no—
497C22×C4—22no—
498C22×C4—22no—
499C22×C4—22no—
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—22no—
509C22×C4—22no—
510C22×C4—22no—
511C22×C4—22no—
512C22×C4—22no—
513C22×C4—22no—
514C22×C4—22no—
515C22×C4—22no—
516C22×C4—114no—
517C22×C4—114no—
518C22×C4—114no—
519C22×C4—112no—
520C22×C4—112no—
521C22×C4—112no—
522C22×C4—112no—
523C22×C4—112no—
524C22×C4—112no—
525C22×C4—112no—
526C22×C4—228no—
527C22×C4—222no—
528C22×C4—222no—
529C22×C4—222no—
530C22×C4—222no—
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—222no—
540C22×C4—222no—
541C22×C4—222no—
542C22×C4—222no—
543C22×C4—222no—
544C22×C4—222no—
545C22×C4—228no—
546C22×C4—444no—
547C22×C4—4416no—
548C22×C4#433914yes—
549C22×C4C23×D1112yes—
550C22×C4C23×D1112yes—
551C22×C4C23×D1112yes—
552C22×C4C23×D1112yes—
553C22×C4C23×D1112yes—
554C22×C4C23×D1112yes—
555C22×C4C23×D1112yes—
556C4⋊C4—28no—
557C4⋊C4—44no—
558C4⋊C4—228no—
559C4⋊C4—228no—
560C4⋊C4—228no—
561C4⋊C4—228no—
562C4⋊C4—228no—
563C4⋊C4—444no—
564C22⋊C4—228no—
565C22⋊C4—228no—
566C22⋊C4—228no—
567C22⋊C4—228no—
568C22⋊C4—228no—
569C22⋊C4—444no—
570C42—44no—
571C42—228no—
572C42—228no—
573C42—444no—
574C11C2×#251711yescharacteristic, complemented, Sylow
575C23—114no—
576C23—228no—
577C23—228no—
578C23—228no—
579C23—222no—
580C23—222no—
581C23—222no—
582C23—222no—
583C23—222no—
584C23—222no—
585C23—444no—
586C23—444no—
587C23—444no—
588C23—444no—
589C23C2×#433912yes—
590C23#6703712yes—
591C23#6704012yes—
592C23#41×D1112yes—
593C23#41×D1112yes—
594C23#41×D1112yes—
595C23#41×D1112yes—
596C23C24×D1111yescharacteristic
597C2×C4—28no—
598C2×C4—22no—
599C2×C4—22no—
600C2×C4—22no—
601C2×C4—22no—
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—44no—
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—228no—
629C2×C4—222no—
630C2×C4—222no—
631C2×C4—222no—
632C2×C4—222no—
633C2×C4—222no—
634C2×C4—222no—
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—4416no—
649C2×C4—444no—
650C2×C4—444no—
651C2×C4—444no—
652C2×C4—444no—
653C2×C4C2×#433914yes—
654C22—224no—
655C22—224no—
656C22—224no—
657C22—442no—
658C22—442no—
659C22—442no—
660C22—442no—
661C22—4416no—
662C22#1062305914yes—
663C22#1062308714yes—
664C22#1062311214yes—
665C22#1062316914yes—
666C22#1062319514yes—
667C22#1062322414yes—
668C22#1062323714yes—
669C22C22×#433911yescharacteristic
670C22C2×#6703711yescharacteristic
671C22C2×#6704011yescharacteristic
672C22C2×#41×D1111yescharacteristic
673C22C2×#41×D1111yescharacteristic
674C22C2×#41×D1111yescharacteristic
675C22C2×#41×D1111yescharacteristic
676C4—24no—
677C4—42no—
678C4—42no—
679C4—42no—
680C4—42no—
681C4—42no—
682C4—42no—
683C4—224no—
684C4—224no—
685C4—224no—
686C4—442no—
687C4—442no—
688C4—442no—
689C4—442no—
690C2—444no—
691C2#1307326218yesdirect product factor
692C2C2×#1062305911yescharacteristic
693C2C2×#1062323711yescharacteristic
694C2C2×#1062316911yescharacteristic
695C2C2×#1062308711yescharacteristic
696C2C2×#1062322411yescharacteristic
697C2C2×#1062311211yescharacteristic
698C2C2×#1062319511yescharacteristic
subgroupG/H
centerC24C23×D11
commutator, cosocleC23×C11C25
FrattiniC23C24×D11
FittingC2×C11×#387C2
socleC24×C11C24
prime radicalC24×D11C23
hypercenterC2×#387D11
hypocenterC11C2×#2517
LCSG ▷ C23×C11 ▷ C11
UCSC1 ◁ C24 ◁ C2×#387

Complements

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

NH ≅ G/Ntype
1. #13073262C2direct (N × H)
6. C2×#10622546C2semidirect
7. C2×#10622265C2semidirect
8. C2×#10622265C2semidirect
9. C2×#10622591C2semidirect
10. C2×#10622591C2semidirect
12. C2×#10622263C2semidirect
13. C2×#10622263C2semidirect
16. C2×C11×#387C2semidirect
36. C11×#387C22semidirect
55. #10622591C22semidirect
56. #10622591C22semidirect
58. #10622546C22semidirect
63. #10622265C22semidirect
64. #10622265C22semidirect
65. #10622263C22semidirect
66. #10622263C22semidirect
236. C2×#387D11semidirect
349. #387C2×D11semidirect
478. C2×C11#2517semidirect
574. C11C2×#2517semidirect
691. C2#13073262direct (N × H)

Maximal subgroups

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

subgroupindex
#130732622
C2×#106226052
C2×#106222882
C2×#106225462
C2×#106222652
C2×#106225912
C2×#106226022
C2×#106222632
C2×C4×(C2×D11)⋊C42
C2×#106222792
C2×C11×#3872
C2×#251711