Finite Group Databasebeta

← C2×#20246124 #26375104

Subgroups — C2×#20246124 #26375104

Order 12032.

2398 conjugacy classes of subgroups.

The subgroup lattice has 664 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×#13094014C211yesmaximal, characteristic
2#20246124C2116yesmaximal, direct product factor
3C2×#15689022C211yesmaximal, characteristic
4C2×#15689021C211yesmaximal, characteristic
5C2×#15689020C211yesmaximal, characteristic
6C2×#15689020C211yesmaximal, characteristic
7C2×#15689020C211yesmaximal, characteristic
8C2×#15689018C211yesmaximal, characteristic
9C2×#15689010C211yesmaximal, characteristic
10C2×#15689008C211yesmaximal, characteristic
11C2×#15689005C211yesmaximal, characteristic
12C2×#15688992C211yesmaximal, characteristic
13C2×C4×Dic47⋊C4C211yesmaximal, characteristic
14C2×#15688974C211yesmaximal, characteristic
15C2×#15688968C211yesmaximal, characteristic
16C2×C47×#387C211yesmaximal, characteristic
17C2×#13094014C4116yescomplemented
18C2×#13094014C2218yes—
19C22×C4⋊Dic47C2211yescharacteristic
20C22×C4⋊Dic47C2211yescharacteristic
21C22×C4⋊Dic47C2211yescharacteristic
22C22×C4⋊Dic47C2211yescharacteristic
23C22×Dic47⋊C4C2211yescharacteristic
24C22×Dic47⋊C4C2211yescharacteristic
25C22×Dic47⋊C4C2211yescharacteristic
26C22×Dic47⋊C4C2211yescharacteristic
27C22×Dic47⋊C4C2211yescharacteristic
28C22×Dic47⋊C4C2211yescharacteristic
29C22×Dic47⋊C4C2211yescharacteristic
30C22×Dic47⋊C4C2211yescharacteristic
31C22×Dic47⋊C4C2211yescharacteristic
32C22×Dic47⋊C4C2211yescharacteristic
33C22×C4×Dic47C2211yescharacteristic
34C22×C4×Dic47C2211yescharacteristic
35C22×C4×Dic47C2211yescharacteristic
36C22×C4×Dic47C2211yescharacteristic
37C22×C4×Dic47C2211yescharacteristic
38C22×C4×Dic47C2211yescharacteristic
39#15689022C2218yes—
40#15689021C2218yes—
41#15689020C2218yes—
42#15689020C2218yes—
43#15689020C2218yes—
44#15689018C2218yes—
45#15689010C2218yes—
46#15689008C2218yes—
47#15689005C2218yes—
48#15688992C2218yes—
49C4×Dic47⋊C4C2218yes—
50#15688974C2218yes—
51#15688968C2218yes—
52C2×C47⋊#95C2211yescharacteristic
53C2×C47⋊#95C2211yescharacteristic
54C2×C47⋊#95C2211yescharacteristic
55C2×C47⋊#95C2211yescharacteristic
56C2×C47⋊#95C2211yescharacteristic
57C2×C47⋊#95C2211yescharacteristic
58C2×C47⋊#95C2211yescharacteristic
59C2×C47⋊#95C2211yescharacteristic
60C22×C4⋊C4×C47C2211yescharacteristic
61C22×C4⋊C4×C47C2211yescharacteristic
62C22×C42×C47C2211yescharacteristic
63C47×#387C2218yes—
64C2×#95×C47C2211yescharacteristic
65C2×#95×C47C2211yescharacteristic
66C2×#95×C47C2211yescharacteristic
67C2×#95×C47C2211yescharacteristic
68C23×Dic47C2311yescharacteristic
69C23×Dic47C2311yescharacteristic
70C23×Dic47C2311yescharacteristic
71C23×Dic47C2311yescharacteristic
72C23×Dic47C2311yescharacteristic
73C23×Dic47C2311yescharacteristic
74C23×Dic47C2311yescharacteristic
75C23×Dic47C2311yescharacteristic
76#13094014C2×C4164yescomplemented
77C2×C4⋊Dic47—42no—
78C2×C4⋊Dic47—42no—
79C2×C4⋊Dic47—42no—
80C2×C4⋊Dic47C2×C418yes—
81C2×C4⋊Dic47C2314yes—
82C2×C4⋊Dic47C2314yes—
83C2×C4⋊Dic47C2314yes—
84C2×C4⋊Dic47C2314yes—
85C2×Dic47⋊C4—24no—
86C2×Dic47⋊C4—24no—
87C2×Dic47⋊C4—42no—
88C2×Dic47⋊C4—42no—
89C2×Dic47⋊C4—42no—
90C2×Dic47⋊C4—42no—
91C2×Dic47⋊C4C2×C418yes—
92C2×Dic47⋊C4C2×C418yes—
93C2×Dic47⋊C4C2×C418yes—
94C2×Dic47⋊C4C2×C418yes—
95C2×Dic47⋊C4C2314yes—
96C2×Dic47⋊C4C2314yes—
97C2×Dic47⋊C4C2314yes—
98C2×Dic47⋊C4C2314yes—
99C2×Dic47⋊C4C2314yes—
100C2×Dic47⋊C4C2314yes—
101C2×Dic47⋊C4C2314yes—
102C2×Dic47⋊C4C2314yes—
103C2×Dic47⋊C4C2314yes—
104C2×Dic47⋊C4C2314yes—
105C2×C4×Dic47—24no—
106C2×C4×Dic47—42no—
107C2×C4×Dic47—42no—
108C2×C4×Dic47—42no—
109C2×C4×Dic47C2×C418yes—
110C2×C4×Dic47Q818yes—
111C2×C4×Dic47C2314yes—
112C2×C4×Dic47C2314yes—
113C2×C4×Dic47C2314yes—
114C2×C4×Dic47C2314yes—
115C2×C4×Dic47C2314yes—
116C2×C4×Dic47C2314yes—
117C47⋊#95C2314yes—
118C47⋊#95C2314yes—
119C47⋊#95C2314yes—
120C47⋊#95C2314yes—
121C47⋊#95C2314yes—
122C47⋊#95C2314yes—
123C47⋊#95C2314yes—
124C47⋊#95C2314yes—
125C23×C4×C47C2311yescharacteristic
126C23×C4×C47C2311yescharacteristic
127C23×C4×C47C2311yescharacteristic
128C23×C4×C47C2311yescharacteristic
129C23×C4×C47C2311yescharacteristic
130C23×C4×C47C2311yescharacteristic
131C23×C4×C47C2311yescharacteristic
132C2×C4⋊C4×C47—42no—
133C2×C4⋊C4×C47C2×C418yes—
134C2×C4⋊C4×C47C2314yes—
135C2×C4⋊C4×C47C2314yes—
136C2×C42×C47—42no—
137C2×C42×C47C2314yes—
138#95×C47C2314yes—
139#95×C47C2314yes—
140#95×C47C2314yes—
141#95×C47C2314yes—
142C24×C47C2411yescharacteristic
143C22×C4×C47—22no—
144C22×C4×C47—22no—
145C22×C4×C47—22no—
146C22×C4×C47—22no—
147C22×C4×C47—22no—
148C22×C4×C47—22no—
149C22×C4×C47—22no—
150C22×C4×C47—22no—
151C22×C4×C47—22no—
152C22×C4×C47—22no—
153C22×C4×C47—22no—
154C22×C4×C47—22no—
155C22×C4×C47—22no—
156C22×C4×C47—22no—
157C22×C4×C47—22no—
158C22×C4×C47—22no—
159C22×C4×C47—22no—
160C22×C4×C47C22×C414yes—
161C22×C4×C47C22×C414yes—
162C22×C4×C47C22×C414yes—
163C22×C4×C47C2×Q814yes—
164C22×C4×C47C2412yes—
165C22×C4×C47C2412yes—
166C22×C4×C47C2412yes—
167C22×C4×C47C2412yes—
168C22×C4×C47C2412yes—
169C22×C4×C47C2412yes—
170C22×C4×C47C2412yes—
171C22×Dic47—22no—
172C22×Dic47—22no—
173C22×Dic47—22no—
174C22×Dic47—22no—
175C22×Dic47—22no—
176C22×Dic47—22no—
177C22×Dic47—22no—
178C22×Dic47—22no—
179C22×Dic47—22no—
180C22×Dic47—22no—
181C22×Dic47—22no—
182C22×Dic47—22no—
183C22×Dic47—22no—
184C22×Dic47—22no—
185C22×Dic47—22no—
186C22×Dic47—22no—
187C22×Dic47—22no—
188C22×Dic47C22×C414yes—
189C22×Dic47C22×C414yes—
190C22×Dic47C22×C414yes—
191C22×Dic47C22×C414yes—
192C22×Dic47C2×Q814yes—
193C22×Dic47C2×Q814yes—
194C22×Dic47#4114yes—
195C22×Dic47C2412yes—
196C22×Dic47C2412yes—
197C22×Dic47C2412yes—
198C22×Dic47C2412yes—
199C22×Dic47C2412yes—
200C22×Dic47C2412yes—
201C22×Dic47C2412yes—
202C22×Dic47C2412yes—
203C4⋊C4×C47—44no—
204C4⋊C4×C47C22×C4116yes—
205C42×C47—44no—
206C4⋊Dic47—44no—
207C4⋊Dic47—44no—
208C4⋊Dic47—44no—
209C4⋊Dic47C22×C4116yes—
210Dic47⋊C4—28no—
211Dic47⋊C4—28no—
212Dic47⋊C4—44no—
213Dic47⋊C4—44no—
214Dic47⋊C4—44no—
215Dic47⋊C4—44no—
216Dic47⋊C4C22×C4116yes—
217Dic47⋊C4C22×C4116yes—
218Dic47⋊C4C22×C4116yes—
219Dic47⋊C4C22×C4116yes—
220C4×Dic47—28no—
221C4×Dic47—44no—
222C4×Dic47—44no—
223C4×Dic47—44no—
224C4×Dic47C22×C4116yes—
225C4×Dic47C2×Q8116yes—
226C23×C47C23×C412yes—
227C23×C47C22×Q812yes—
228C23×C47C2×#4112yes—
229C23×C47H(5,𝔽2)12yes—
230C23×C47H(5,𝔽2)12yes—
231C23×C472−1+412yes—
232C23×C472−1+412yes—
233C23×C47C2511yescharacteristic
234C2×C4×C47—28no—
235C2×C4×C47—28no—
236C2×C4×C47—28no—
237C2×C4×C47—28no—
238C2×C4×C47—22no—
239C2×C4×C47—22no—
240C2×C4×C47—22no—
241C2×C4×C47—22no—
242C2×C4×C47—22no—
243C2×C4×C47—22no—
244C2×C4×C47—22no—
245C2×C4×C47—22no—
246C2×C4×C47—22no—
247C2×C4×C47—22no—
248C2×C4×C47—22no—
249C2×C4×C47—22no—
250C2×C4×C47—22no—
251C2×C4×C47—22no—
252C2×C4×C47—22no—
253C2×C4×C47—22no—
254C2×C4×C47—22no—
255C2×C4×C47—44no—
256C2×C4×C47—44no—
257C2×C4×C47—44no—
258C2×C4×C47C23×C414yes—
259C2×C4×C47C23×C414yes—
260C2×C4×C47C23×C414yes—
261C2×C4×C47C22×Q814yes—
262C2×Dic47—28no—
263C2×Dic47—28no—
264C2×Dic47—28no—
265C2×Dic47—28no—
266C2×Dic47—22no—
267C2×Dic47—22no—
268C2×Dic47—22no—
269C2×Dic47—22no—
270C2×Dic47—22no—
271C2×Dic47—22no—
272C2×Dic47—22no—
273C2×Dic47—22no—
274C2×Dic47—22no—
275C2×Dic47—22no—
276C2×Dic47—22no—
277C2×Dic47—22no—
278C2×Dic47—22no—
279C2×Dic47—22no—
280C2×Dic47—22no—
281C2×Dic47—22no—
282C2×Dic47—22no—
283C2×Dic47—44no—
284C2×Dic47—44no—
285C2×Dic47—44no—
286C2×Dic47C4×Q8116yes—
287C2×Dic47C23×C414yes—
288C2×Dic47C23×C414yes—
289C2×Dic47C23×C414yes—
290C2×Dic47C23×C414yes—
291C2×Dic47C22×Q814yes—
292C2×Dic47C22×Q814yes—
293C2×Dic47C2×#4114yes—
294C2×#2330—471nomaximal, Sylow
295C22×C47C2×C4×Q814yes—
296C22×C47#52014yes—
297C22×C47#52014yes—
298C22×C47#54014yes—
299C22×C47#54114yes—
300C22×C47#54414yes—
301C22×C47#54414yes—
302C22×C47C24×C411yescharacteristic
303C22×C47C23×Q811yescharacteristic
304C22×C47C22×#4111yescharacteristic
305C22×C47C2×H(5,𝔽2)11yescharacteristic
306C22×C47C2×H(5,𝔽2)11yescharacteristic
307C22×C47C2×2−1+411yescharacteristic
308C22×C47C2×2−1+411yescharacteristic
309C4×C47—24no—
310C4×C47—24no—
311C4×C47—24no—
312C4×C47—24no—
313C4×C47—42no—
314C4×C47—42no—
315C4×C47—42no—
316Dic47—24no—
317Dic47—24no—
318Dic47—24no—
319Dic47—24no—
320Dic47—42no—
321Dic47—42no—
322Dic47—42no—
323Dic47C2×C4×Q818yes—
324C22×#125—471no—
325#2330—4716no—
326C2×#389—471no—
327C2×#389—471no—
328C2×#389—471no—
329C2×#389—471no—
330C2×#389—471no—
331C2×#389—471no—
332C2×#387—471no—
333C2×#387—471no—
334C2×#387—471no—
335C2×#387D4711yescharacteristic
336C2×#384—471no—
337C2×C4×C4⋊C4—471no—
338C2×C4×C4⋊C4—471no—
339C2×#376—471no—
340C2×C47#233018yescomplemented
341C2×C47C22×C4×Q811yescharacteristic
342C2×C47C2×#52011yescharacteristic
343C2×C47C2×#52011yescharacteristic
344C2×C47C2×#54011yescharacteristic
345C2×C47C2×#54111yescharacteristic
346C2×C47C2×#54411yescharacteristic
347C2×C47C2×#54411yescharacteristic
348C2×#125—4716no—
349C2×#125—478no—
350C22×C4⋊C4—471no—
351C22×C4⋊C4—471no—
352C22×C4⋊C4—471no—
353C22×C4⋊C4—471no—
354C22×C4⋊C4—471no—
355C22×C4⋊C4—471no—
356C22×C4⋊C4—471no—
357C22×C4⋊C4—471no—
358C22×C4⋊C4—471no—
359C22×C4⋊C4—471no—
360C22×C4⋊C4—471no—
361C22×C4⋊C4—471no—
362C22×C4⋊C4—471no—
363C22×C4⋊C4—471no—
364C22×C4⋊C4C2×D4711yescharacteristic
365C22×C4⋊C4C2×D4711yescharacteristic
366C22×C42—471no—
367C22×C42—471no—
368C22×C42—471no—
369C22×C42—471no—
370C22×C42—471no—
371C22×C42—471no—
372C22×C42C2×D4711yescharacteristic
373#389—478no—
374#389—478no—
375#389—478no—
376#389—478no—
377#389—478no—
378#389—478no—
379#387—478no—
380#387—478no—
381#387—478no—
382#387C2×D4718yes—
383#384—478no—
384C4×C4⋊C4—478no—
385C4×C4⋊C4—478no—
386#376—478no—
387C2×#95—471no—
388C2×#95—471no—
389C2×#95—471no—
390C2×#95—471no—
391C2×#95—471no—
392C2×#95—471no—
393C2×#95—471no—
394C2×#95—471no—
395C2×#95C2×D4711yescharacteristic
396C2×#95C2×D4711yescharacteristic
397C2×#95C2×D4711yescharacteristic
398C2×#95C2×D4711yescharacteristic
399C47C2×#233011yescharacteristic, complemented, Sylow
400C23×C4—471no—
401C23×C4—471no—
402C23×C4—471no—
403C23×C4—471no—
404C23×C4—471no—
405C23×C4—471no—
406C23×C4—471no—
407C23×C4—471no—
408C23×C4C22×D4711yescharacteristic
409C23×C4C22×D4711yescharacteristic
410C23×C4C22×D4711yescharacteristic
411C23×C4C22×D4711yescharacteristic
412C23×C4C22×D4711yescharacteristic
413C23×C4C22×D4711yescharacteristic
414C23×C4C22×D4711yescharacteristic
415#125—4764no—
416C2×C4⋊C4—42no—
417C2×C4⋊C4—478no—
418C2×C4⋊C4—478no—
419C2×C4⋊C4—478no—
420C2×C4⋊C4—478no—
421C2×C4⋊C4—478no—
422C2×C4⋊C4—474no—
423C2×C4⋊C4—474no—
424C2×C4⋊C4—474no—
425C2×C4⋊C4—474no—
426C2×C4⋊C4—474no—
427C2×C4⋊C4—474no—
428C2×C4⋊C4—474no—
429C2×C4⋊C4—474no—
430C2×C4⋊C4—474no—
431C2×C4⋊C4—474no—
432C2×C4⋊C4—474no—
433C2×C4⋊C4—474no—
434C2×C4⋊C4—474no—
435C2×C4⋊C4—474no—
436C2×C4⋊C4—944no—
437C2×C4⋊C4—944no—
438C2×C4⋊C4—1882no—
439C2×C4⋊C4—1882no—
440C2×C4⋊C4—1882no—
441C2×C4⋊C4—1882no—
442C2×C4⋊C4—1882no—
443C2×C4⋊C4—1882no—
444C2×C4⋊C4—1882no—
445C2×C4⋊C4C4×D4718yes—
446C2×C4⋊C4C22×D4714yes—
447C2×C4⋊C4C22×D4714yes—
448C2×C42—42no—
449C2×C42—478no—
450C2×C42—478no—
451C2×C42—474no—
452C2×C42—474no—
453C2×C42—474no—
454C2×C42—474no—
455C2×C42—474no—
456C2×C42—474no—
457C2×C42—944no—
458C2×C42—1882no—
459C2×C42—1882no—
460C2×C42—1882no—
461C2×C42C22×D4714yes—
462#95—474no—
463#95—474no—
464#95—474no—
465#95—474no—
466#95—474no—
467#95—474no—
468#95—474no—
469#95—474no—
470#95C22×D4714yes—
471#95C22×D4714yes—
472#95C22×D4714yes—
473#95C22×D4714yes—
474C24C23×D4711yescharacteristic
475C22×C4—22no—
476C22×C4—22no—
477C22×C4—22no—
478C22×C4—22no—
479C22×C4—22no—
480C22×C4—22no—
481C22×C4—22no—
482C22×C4—22no—
483C22×C4—22no—
484C22×C4—22no—
485C22×C4—22no—
486C22×C4—22no—
487C22×C4—22no—
488C22×C4—22no—
489C22×C4—22no—
490C22×C4—22no—
491C22×C4—22no—
492C22×C4—474no—
493C22×C4—474no—
494C22×C4—474no—
495C22×C4—472no—
496C22×C4—474no—
497C22×C4—474no—
498C22×C4—474no—
499C22×C4—474no—
500C22×C4—472no—
501C22×C4—472no—
502C22×C4—472no—
503C22×C4—472no—
504C22×C4—472no—
505C22×C4—472no—
506C22×C4—472no—
507C22×C4—942no—
508C22×C4—942no—
509C22×C4—942no—
510C22×C4—942no—
511C22×C4—942no—
512C22×C4—942no—
513C22×C4—942no—
514C22×C4—942no—
515C22×C4—942no—
516C22×C4—942no—
517C22×C4—942no—
518C22×C4—942no—
519C22×C4—942no—
520C22×C4—942no—
521C22×C4—942no—
522C22×C4—942no—
523C22×C4—942no—
524C22×C4C2×C4×D4714yes—
525C22×C4C2×C4×D4714yes—
526C22×C4C2×C4×D4714yes—
527C22×C4Q8×D4714yes—
528C22×C4C23×D4712yes—
529C22×C4C23×D4712yes—
530C22×C4C23×D4712yes—
531C22×C4C23×D4712yes—
532C22×C4C23×D4712yes—
533C22×C4C23×D4712yes—
534C22×C4C23×D4712yes—
535C4⋊C4—44no—
536C4⋊C4—4716no—
537C4⋊C4—4716no—
538C4⋊C4—4716no—
539C4⋊C4—4716no—
540C4⋊C4—4716no—
541C4⋊C4—948no—
542C4⋊C4—948no—
543C4⋊C4—1884no—
544C4⋊C4—1884no—
545C4⋊C4—1884no—
546C4⋊C4—1884no—
547C4⋊C4—1884no—
548C4⋊C4—1884no—
549C4⋊C4—1884no—
550C4⋊C4C2×C4×D47116yes—
551C42—44no—
552C42—4716no—
553C42—4716no—
554C42—948no—
555C42—1884no—
556C42—1884no—
557C42—1884no—
558C23C22×C4×D4712yes—
559C23C2×Q8×D4712yes—
560C23#41×D4712yes—
561C23#1309406912yes—
562C23#1309407012yes—
563C23#1309407112yes—
564C23#1309407112yes—
565C23C24×D4711yescharacteristic
566C2×C4—28no—
567C2×C4—28no—
568C2×C4—28no—
569C2×C4—28no—
570C2×C4—22no—
571C2×C4—22no—
572C2×C4—22no—
573C2×C4—22no—
574C2×C4—22no—
575C2×C4—22no—
576C2×C4—22no—
577C2×C4—22no—
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—44no—
588C2×C4—44no—
589C2×C4—44no—
590C2×C4—4716no—
591C2×C4—474no—
592C2×C4—474no—
593C2×C4—474no—
594C2×C4—474no—
595C2×C4—474no—
596C2×C4—474no—
597C2×C4—474no—
598C2×C4—948no—
599C2×C4—948no—
600C2×C4—948no—
601C2×C4—948no—
602C2×C4—942no—
603C2×C4—942no—
604C2×C4—942no—
605C2×C4—942no—
606C2×C4—942no—
607C2×C4—942no—
608C2×C4—942no—
609C2×C4—942no—
610C2×C4—942no—
611C2×C4—942no—
612C2×C4—942no—
613C2×C4—942no—
614C2×C4—942no—
615C2×C4—942no—
616C2×C4—942no—
617C2×C4—942no—
618C2×C4—942no—
619C2×C4—1884no—
620C2×C4—1884no—
621C2×C4—1884no—
622C2×C4C22×C4×D4714yes—
623C2×C4C22×C4×D4714yes—
624C2×C4C22×C4×D4714yes—
625C2×C4C2×Q8×D4714yes—
626C22C4×Q8×D4714yes—
627C22#1568960214yes—
628C22#1568960314yes—
629C22#1568972514yes—
630C22#1568973014yes—
631C22#1568975214yes—
632C22#1568975314yes—
633C22C23×C4×D4711yescharacteristic
634C22C22×Q8×D4711yescharacteristic
635C22C2×#41×D4711yescharacteristic
636C22C2×#1309406911yescharacteristic
637C22C2×#1309407011yescharacteristic
638C22C2×#1309407111yescharacteristic
639C22C2×#1309407111yescharacteristic
640C4—24no—
641C4—24no—
642C4—24no—
643C4—24no—
644C4—42no—
645C4—42no—
646C4—42no—
647C4—478no—
648C4—944no—
649C4—944no—
650C4—944no—
651C4—944no—
652C4—1882no—
653C4—1882no—
654C4—1882no—
655C2#2024612418yesdirect product factor
656C2C2×C4×Q8×D4711yescharacteristic
657C2C2×#1568960211yescharacteristic
658C2C2×#1568960311yescharacteristic
659C2C2×#1568972511yescharacteristic
660C2C2×#1568973011yescharacteristic
661C2C2×#1568975211yescharacteristic
662C2C2×#1568975311yescharacteristic
subgroupG/H
centerC24C23×D47
commutatorC22×C47C24×C4
FrattiniC23C24×D47
FittingC2×C47×#387C2
socle, prime radicalC24×C47C24
cosocleC23×C47C25
hypercenterC2×#387D47
hypocenterC47C2×#2330
LCSG ▷ C22×C47 ▷ C47
UCSC1 ◁ C24 ◁ C2×#387

Complements

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

NH ≅ G/Ntype
2. #20246124C2direct (N × H)
17. C2×#13094014C4semidirect
76. #13094014C2×C4semidirect
340. C2×C47#2330semidirect
399. C47C2×#2330semidirect
655. C2#20246124direct (N × H)

Maximal subgroups

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

subgroupindex
C22×#130940142
#202461242
C2×#156890222
C2×#156890212
C2×#156890202
C2×#156890182
C2×#156890102
C2×#156890082
C2×#156890052
C2×#156889922
C2×C4×Dic47⋊C42
C2×#156889742
C2×#156889682
C2×C47×#3872
C2×#233047