Finite Group Databasebeta

← C2×#13071359 #14912607

Subgroups — C2×#13071359 #14912607

Order 2816.

2526 conjugacy classes of subgroups.

The subgroup lattice has 672 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×#66997C211yesmaximal, characteristic
2#13071359C2116yesmaximal, direct product factor
3C2×#10622843C211yesmaximal, characteristic
4C2×#10622259C211yesmaximal, characteristic
5C2×#10622259C211yesmaximal, characteristic
6C2×#10622260C211yesmaximal, characteristic
7C2×#10622585C211yesmaximal, characteristic
8C2×#10622268C211yesmaximal, characteristic
9C2×#10622546C211yesmaximal, characteristic
10C2×#10622265C211yesmaximal, characteristic
11C2×#10622591C211yesmaximal, characteristic
12C2×#10622263C211yesmaximal, characteristic
13C2×C4×Dic11⋊C4C211yesmaximal, characteristic
14C2×#10622262C211yesmaximal, characteristic
15C2×#10622261C211yesmaximal, characteristic
16C2×C11×#391C211yesmaximal, characteristic
17C23×Q8×C11C2211yescharacteristic
18C23×Dic22C2211yescharacteristic
19C22×C11×C4⋊C4C2211yescharacteristic
20C22×C42×C11C2211yescharacteristic
21C2×#66997C4116yescomplemented
22C2×#66997C2218yes—
23C22×C4⋊Dic11C2211yescharacteristic
24C22×Dic11⋊C4C2211yescharacteristic
25C22×Dic11⋊C4C2211yescharacteristic
26C22×Dic11⋊C4C2211yescharacteristic
27C22×Dic11⋊C4C2211yescharacteristic
28C22×Dic11⋊C4C2211yescharacteristic
29C22×Dic11⋊C4C2211yescharacteristic
30C22×Dic11⋊C4C2211yescharacteristic
31C22×Dic11⋊C4C2211yescharacteristic
32C22×C4×Dic11C2211yescharacteristic
33C22×C4×Dic11C2211yescharacteristic
34C22×C4×Dic11C2211yescharacteristic
35C22×C4×Dic11C2211yescharacteristic
36C22×C4×Dic11C2211yescharacteristic
37C22×C4×Dic11C2211yescharacteristic
38C11×#391C2218yes—
39C2×C11×#95C2211yescharacteristic
40C2×C11×#95C2211yescharacteristic
41C2×C11×#95C2211yescharacteristic
42C2×C11×#95C2211yescharacteristic
43#10622843C2218yes—
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
55C2×C11⋊#95C2211yescharacteristic
56#10622591C2218yes—
57#10622585C2218yes—
58#10622546C2218yes—
59C4×Dic11⋊C4C2218yes—
60#10622268C2218yes—
61#10622265C2218yes—
62#10622263C2218yes—
63#10622262C2218yes—
64#10622261C2218yes—
65#10622260C2218yes—
66#10622259C2218yes—
67#10622259C2218yes—
68C22×Q8×C11—42no—
69C22×Q8×C11—42no—
70C22×Q8×C11C2×C418yes—
71C22×Q8×C11C2314yes—
72C23×C4×C11C2311yescharacteristic
73C23×C4×C11C2311yescharacteristic
74C23×C4×C11C2311yescharacteristic
75C23×C4×C11C2311yescharacteristic
76C23×C4×C11C2311yescharacteristic
77C23×C4×C11C2311yescharacteristic
78C23×C4×C11C2311yescharacteristic
79C23×Dic11C2311yescharacteristic
80C23×Dic11C2311yescharacteristic
81C23×Dic11C2311yescharacteristic
82C23×Dic11C2311yescharacteristic
83C23×Dic11C2311yescharacteristic
84C23×Dic11C2311yescharacteristic
85C23×Dic11C2311yescharacteristic
86C23×Dic11C2311yescharacteristic
87C22×Dic22—42no—
88C22×Dic22—42no—
89C22×Dic22C2×C418yes—
90C22×Dic22C2314yes—
91C2×C11×C4⋊C4—42no—
92C2×C11×C4⋊C4C2314yes—
93C2×C42×C11—42no—
94C2×C42×C11C2314yes—
95#66997C2×C4164yescomplemented
96C2×C4⋊Dic11—42no—
97C2×C4⋊Dic11C2314yes—
98C2×Dic11⋊C4—24no—
99C2×Dic11⋊C4—24no—
100C2×Dic11⋊C4—42no—
101C2×Dic11⋊C4—42no—
102C2×Dic11⋊C4C2×C418yes—
103C2×Dic11⋊C4C2×C418yes—
104C2×Dic11⋊C4C2×C418yes—
105C2×Dic11⋊C4C2×C418yes—
106C2×Dic11⋊C4C2314yes—
107C2×Dic11⋊C4C2314yes—
108C2×Dic11⋊C4C2314yes—
109C2×Dic11⋊C4C2314yes—
110C2×Dic11⋊C4C2314yes—
111C2×Dic11⋊C4C2314yes—
112C2×Dic11⋊C4C2314yes—
113C2×Dic11⋊C4C2314yes—
114C2×C4×Dic11—24no—
115C2×C4×Dic11—42no—
116C2×C4×Dic11—42no—
117C2×C4×Dic11—42no—
118C2×C4×Dic11C2×C418yes—
119C2×C4×Dic11Q818yescomplemented
120C2×C4×Dic11C2314yes—
121C2×C4×Dic11C2314yes—
122C2×C4×Dic11C2314yes—
123C2×C4×Dic11C2314yes—
124C2×C4×Dic11C2314yes—
125C2×C4×Dic11C2314yes—
126C11×#95C2314yes—
127C11×#95C2314yes—
128C11×#95C2314yes—
129C11×#95C2314yes—
130C11⋊#95C2314yes—
131C11⋊#95C2314yes—
132C11⋊#95C2314yes—
133C11⋊#95C2314yes—
134C11⋊#95C2314yes—
135C11⋊#95C2314yes—
136C11⋊#95C2314yes—
137C11⋊#95C2314yes—
138C11⋊#95C2314yes—
139C11⋊#95C2314yes—
140C11⋊#95C2314yes—
141C11⋊#95C2314yes—
142C2×#2331—111nomaximal, Sylow
143C24×C11C2411yescharacteristic
144C2×Q8×C11—416no—
145C2×Q8×C11—44no—
146C2×Q8×C11—44no—
147C2×Q8×C11C22×C4116yes—
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×C11C22×C414yes—
166C22×C4×C11C22×C414yes—
167C22×C4×C11C22×C414yes—
168C22×C4×C11C2×Q814yes—
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×Dic11C22×C414yes—
194C22×Dic11C22×C414yes—
195C22×Dic11C22×C414yes—
196C22×Dic11C22×C414yes—
197C22×Dic11C2×Q814yes—
198C22×Dic11C2×Q814yes—
199C22×Dic11#4114yes—
200C22×Dic11C2412yes—
201C22×Dic11C2412yes—
202C22×Dic11C2412yes—
203C22×Dic11C2412yes—
204C22×Dic11C2412yes—
205C22×Dic11C2412yes—
206C22×Dic11C2412yes—
207C22×Dic11C2412yes—
208C2×Dic22—416no—
209C2×Dic22—44no—
210C2×Dic22—44no—
211C2×Dic22C22×C4116yes—
212C11×C4⋊C4—44no—
213C42×C11—44no—
214C4⋊Dic11—44no—
215Dic11⋊C4—28no—
216Dic11⋊C4—28no—
217Dic11⋊C4—44no—
218Dic11⋊C4—44no—
219Dic11⋊C4C22×C4116yes—
220Dic11⋊C4C22×C4116yes—
221Dic11⋊C4C22×C4116yes—
222Dic11⋊C4C22×C4116yes—
223C4×Dic11—28no—
224C4×Dic11—44no—
225C4×Dic11—44no—
226C4×Dic11—44no—
227C4×Dic11C22×C4116yes—
228C4×Dic11C2×Q8116yescomplemented
229C22×C4⋊Q8—111no—
230#2331—1116no—
231C2×#391—111no—
232C2×#391—111no—
233C2×#391—111no—
234C2×#391D1111yescharacteristic
235C2×#389—111no—
236C2×#389—111no—
237C2×#387—111no—
238C2×#387—111no—
239C2×#387—111no—
240C2×#387—111no—
241C2×#382—111no—
242C2×C4×C4⋊C4—111no—
243C2×C4×C4⋊C4—111no—
244C2×#376—111no—
245C23×C11C23×C412yes—
246C23×C11C22×Q812yes—
247C23×C11C2×#4112yes—
248C23×C11H(5,𝔽2)12yes—
249C23×C11H(5,𝔽2)12yes—
250C23×C112−1+412yes—
251C23×C112−1+412yes—
252C23×C11C2511yescharacteristic
253Q8×C11—416no—
254C2×C4×C11—28no—
255C2×C4×C11—28no—
256C2×C4×C11—28no—
257C2×C4×C11—28no—
258C2×C4×C11—22no—
259C2×C4×C11—22no—
260C2×C4×C11—22no—
261C2×C4×C11—22no—
262C2×C4×C11—22no—
263C2×C4×C11—22no—
264C2×C4×C11—22no—
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—44no—
276C2×C4×C11—44no—
277C2×C4×C11—44no—
278C2×C4×C11C23×C414yes—
279C2×C4×C11C23×C414yes—
280C2×C4×C11C23×C414yes—
281C2×C4×C11C22×Q814yes—
282C2×Dic11—28no—
283C2×Dic11—28no—
284C2×Dic11—28no—
285C2×Dic11—28no—
286C2×Dic11—22no—
287C2×Dic11—22no—
288C2×Dic11—22no—
289C2×Dic11—22no—
290C2×Dic11—22no—
291C2×Dic11—22no—
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—44no—
304C2×Dic11—44no—
305C2×Dic11—44no—
306C2×Dic11C4×Q8116yes—
307C2×Dic11C23×C414yes—
308C2×Dic11C23×C414yes—
309C2×Dic11C23×C414yes—
310C2×Dic11C23×C414yes—
311C2×Dic11C22×Q814yes—
312C2×Dic11C22×Q814yes—
313C2×Dic11C2×#4114yes—
314Dic22—416no—
315C23×Q8—111no—
316C23×Q8C2×D1111yescharacteristic
317C2×C4⋊Q8—118no—
318C2×C4⋊Q8—1116no—
319C22×C4⋊C4—111no—
320C22×C4⋊C4—111no—
321C22×C4⋊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×C42—111no—
330C22×C42—111no—
331C22×C42—111no—
332C22×C42—111no—
333C22×C42—111no—
334C22×C42—111no—
335C22×C42C2×D1111yescharacteristic
336#391—118no—
337#391—118no—
338#391—118no—
339#391C2×D1118yes—
340#389—118no—
341#389—118no—
342#387—118no—
343#387—118no—
344#387—118no—
345#387—118no—
346#382—118no—
347C4×C4⋊C4—118no—
348C4×C4⋊C4—118no—
349#376—118no—
350C2×#95—111no—
351C2×#95—111no—
352C2×#95—111no—
353C2×#95—111no—
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×#95C2×D1111yescharacteristic
363C2×#95C2×D1111yescharacteristic
364C2×#95C2×D1111yescharacteristic
365C2×#95C2×D1111yescharacteristic
366C22×C11C2×C4×Q814yes—
367C22×C11#51814yes—
368C22×C11#51914yes—
369C22×C11#54214yes—
370C22×C11#54214yes—
371C22×C11#54414yes—
372C22×C11#54414yes—
373C22×C11C24×C411yescharacteristic
374C22×C11C23×Q811yescharacteristic
375C22×C11C22×#4111yescharacteristic
376C22×C11C2×H(5,𝔽2)11yescharacteristic
377C22×C11C2×H(5,𝔽2)11yescharacteristic
378C22×C11C2×2−1+411yescharacteristic
379C22×C11C2×2−1+411yescharacteristic
380C4×C11—24no—
381C4×C11—24no—
382C4×C11—24no—
383C4×C11—24no—
384C4×C11—42no—
385C4×C11—42no—
386C4×C11—42no—
387Dic11—24no—
388Dic11—24no—
389Dic11—24no—
390Dic11—24no—
391Dic11—42no—
392Dic11—42no—
393Dic11—42no—
394Dic11C2×C4×Q818yes—
395C22×Q8—42no—
396C22×Q8—42no—
397C22×Q8—118no—
398C22×Q8—114no—
399C22×Q8—442no—
400C22×Q8—442no—
401C22×Q8C4×D1118yes—
402C22×Q8C22×D1114yes—
403C23×C4—111no—
404C23×C4—111no—
405C23×C4—111no—
406C23×C4—111no—
407C23×C4—111no—
408C23×C4—111no—
409C23×C4—111no—
410C23×C4—111no—
411C23×C4C22×D1111yescharacteristic
412C23×C4C22×D1111yescharacteristic
413C23×C4C22×D1111yescharacteristic
414C23×C4C22×D1111yescharacteristic
415C23×C4C22×D1111yescharacteristic
416C23×C4C22×D1111yescharacteristic
417C23×C4C22×D1111yescharacteristic
418C4⋊Q8—1164no—
419C2×C4⋊C4—42no—
420C2×C4⋊C4—118no—
421C2×C4⋊C4—118no—
422C2×C4⋊C4—118no—
423C2×C4⋊C4—118no—
424C2×C4⋊C4—114no—
425C2×C4⋊C4—114no—
426C2×C4⋊C4—114no—
427C2×C4⋊C4—114no—
428C2×C4⋊C4—114no—
429C2×C4⋊C4—114no—
430C2×C4⋊C4—114no—
431C2×C4⋊C4—114no—
432C2×C4⋊C4—114no—
433C2×C4⋊C4—224no—
434C2×C4⋊C4—224no—
435C2×C4⋊C4—442no—
436C2×C4⋊C4—442no—
437C2×C4⋊C4—442no—
438C2×C4⋊C4C22×D1114yes—
439C2×C42—42no—
440C2×C42—118no—
441C2×C42—118no—
442C2×C42—114no—
443C2×C42—114no—
444C2×C42—114no—
445C2×C42—114no—
446C2×C42—114no—
447C2×C42—114no—
448C2×C42—224no—
449C2×C42—442no—
450C2×C42—442no—
451C2×C42—442no—
452C2×C42C22×D1114yes—
453#95—114no—
454#95—114no—
455#95—114no—
456#95—114no—
457#95—114no—
458#95—114no—
459#95—114no—
460#95—114no—
461#95—114no—
462#95—114no—
463#95—114no—
464#95—114no—
465#95C22×D1114yes—
466#95C22×D1114yes—
467#95C22×D1114yes—
468#95C22×D1114yes—
469C2×C11#233118yescomplemented
470C2×C11C22×C4×Q811yescharacteristic
471C2×C11C2×#51811yescharacteristic
472C2×C11C2×#51911yescharacteristic
473C2×C11C2×#54211yescharacteristic
474C2×C11C2×#54211yescharacteristic
475C2×C11C2×#54411yescharacteristic
476C2×C11C2×#54411yescharacteristic
477C24C23×D1111yescharacteristic
478C2×Q8—44no—
479C2×Q8—44no—
480C2×Q8—416no—
481C2×Q8—1116no—
482C2×Q8—4416no—
483C2×Q8—444no—
484C2×Q8—444no—
485C2×Q8C2×C4×D11116yes—
486C22×C4—22no—
487C22×C4—22no—
488C22×C4—22no—
489C22×C4—22no—
490C22×C4—22no—
491C22×C4—22no—
492C22×C4—22no—
493C22×C4—22no—
494C22×C4—22no—
495C22×C4—22no—
496C22×C4—22no—
497C22×C4—22no—
498C22×C4—22no—
499C22×C4—22no—
500C22×C4—22no—
501C22×C4—22no—
502C22×C4—22no—
503C22×C4—114no—
504C22×C4—114no—
505C22×C4—114no—
506C22×C4—112no—
507C22×C4—114no—
508C22×C4—114no—
509C22×C4—114no—
510C22×C4—114no—
511C22×C4—112no—
512C22×C4—112no—
513C22×C4—112no—
514C22×C4—112no—
515C22×C4—112no—
516C22×C4—112no—
517C22×C4—112no—
518C22×C4—222no—
519C22×C4—222no—
520C22×C4—222no—
521C22×C4—222no—
522C22×C4—222no—
523C22×C4—222no—
524C22×C4—222no—
525C22×C4—222no—
526C22×C4—222no—
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×C4C2×C4×D1114yes—
536C22×C4C2×C4×D1114yes—
537C22×C4C2×C4×D1114yes—
538C22×C4Q8×D1114yes—
539C22×C4C23×D1112yes—
540C22×C4C23×D1112yes—
541C22×C4C23×D1112yes—
542C22×C4C23×D1112yes—
543C22×C4C23×D1112yes—
544C22×C4C23×D1112yes—
545C22×C4C23×D1112yes—
546C4⋊C4—44no—
547C4⋊C4—1116no—
548C4⋊C4—1116no—
549C4⋊C4—1116no—
550C4⋊C4—1116no—
551C4⋊C4—228no—
552C4⋊C4—228no—
553C4⋊C4—444no—
554C4⋊C4—444no—
555C4⋊C4—444no—
556C42—44no—
557C42—1116no—
558C42—1116no—
559C42—228no—
560C42—444no—
561C42—444no—
562C42—444no—
563C11C2×#233111yescharacteristic, complemented, Sylow
564C23C22×C4×D1112yes—
565C23#6703712yes—
566C23#6703712yes—
567C23C2×Q8×D1112yes—
568C23#6704012yes—
569C23#41×D1112yes—
570C23#6704312yes—
571C23C24×D1111yescharacteristic
572Q8—416no—
573Q8—4416no—
574C2×C4—28no—
575C2×C4—28no—
576C2×C4—28no—
577C2×C4—28no—
578C2×C4—22no—
579C2×C4—22no—
580C2×C4—22no—
581C2×C4—22no—
582C2×C4—22no—
583C2×C4—22no—
584C2×C4—22no—
585C2×C4—22no—
586C2×C4—22no—
587C2×C4—22no—
588C2×C4—22no—
589C2×C4—22no—
590C2×C4—22no—
591C2×C4—22no—
592C2×C4—22no—
593C2×C4—22no—
594C2×C4—22no—
595C2×C4—44no—
596C2×C4—44no—
597C2×C4—44no—
598C2×C4—1116no—
599C2×C4—114no—
600C2×C4—114no—
601C2×C4—114no—
602C2×C4—114no—
603C2×C4—114no—
604C2×C4—114no—
605C2×C4—114no—
606C2×C4—228no—
607C2×C4—228no—
608C2×C4—228no—
609C2×C4—228no—
610C2×C4—222no—
611C2×C4—222no—
612C2×C4—222no—
613C2×C4—222no—
614C2×C4—222no—
615C2×C4—222no—
616C2×C4—222no—
617C2×C4—222no—
618C2×C4—222no—
619C2×C4—222no—
620C2×C4—222no—
621C2×C4—222no—
622C2×C4—222no—
623C2×C4—222no—
624C2×C4—222no—
625C2×C4—222no—
626C2×C4—222no—
627C2×C4—444no—
628C2×C4—444no—
629C2×C4—444no—
630C2×C4C22×C4×D1114yes—
631C2×C4C22×C4×D1114yes—
632C2×C4C22×C4×D1114yes—
633C2×C4C2×Q8×D1114yes—
634C22#1062301714yes—
635C22C4×Q8×D1114yes—
636C22#1062310314yes—
637C22#1062315414yes—
638C22#1062317114yes—
639C22#1062320014yes—
640C22#1062326014yes—
641C22C23×C4×D1111yescharacteristic
642C22C2×#6703711yescharacteristic
643C22C2×#6703711yescharacteristic
644C22C22×Q8×D1111yescharacteristic
645C22C2×#6704011yescharacteristic
646C22C2×#41×D1111yescharacteristic
647C22C2×#6704311yescharacteristic
648C4—24no—
649C4—24no—
650C4—24no—
651C4—24no—
652C4—42no—
653C4—42no—
654C4—42no—
655C4—118no—
656C4—224no—
657C4—224no—
658C4—224no—
659C4—224no—
660C4—442no—
661C4—442no—
662C4—442no—
663C2#1307135918yesdirect product factor
664C2C2×C4×Q8×D1111yescharacteristic
665C2C2×#1062301711yescharacteristic
666C2C2×#1062310311yescharacteristic
667C2C2×#1062320011yescharacteristic
668C2C2×#1062317111yescharacteristic
669C2C2×#1062326011yescharacteristic
670C2C2×#1062315411yescharacteristic
subgroupG/H
centerC24C23×D11
commutatorC22×C11C24×C4
FrattiniC23C24×D11
FittingC2×C11×#391C2
socle, prime radicalC24×C11C24
cosocleC23×C11C25
hypercenterC2×#391D11
hypocenterC11C2×#2331
LCSG ▷ C22×C11 ▷ C11
UCSC1 ◁ C24 ◁ C2×#391

Complements

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

NH ≅ G/Ntype
2. #13071359C2direct (N × H)
21. C2×#66997C4semidirect
95. #66997C2×C4semidirect
119. C2×C4×Dic11Q8semidirect
228. C4×Dic11C2×Q8semidirect
469. C2×C11#2331semidirect
563. C11C2×#2331semidirect
663. C2#13071359direct (N × H)

Maximal subgroups

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

subgroupindex
C22×#669972
#130713592
C2×#106228432
C2×#106222592
C2×#106222602
C2×#106225852
C2×#106222682
C2×#106225462
C2×#106222652
C2×#106225912
C2×#106222632
C2×C4×Dic11⋊C42
C2×#106222622
C2×#106222612
C2×C11×#3912
C2×#233111