Finite Group Databasebeta

← C2×#20246289 #26375564

Subgroups — C2×#20246289 #26375564

Order 12032.

4718 conjugacy classes of subgroups.

The subgroup lattice has 608 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×C4×D188C211yesmaximal, characteristic
2C22×#13093986C211yesmaximal, characteristic
3C22×#13093986C211yesmaximal, characteristic
4C22×C4⋊C4×D47C212yesmaximal, complemented
5#20246289C2116yesmaximal, direct product factor
6C2×#15689022C211yesmaximal, characteristic, complemented
7C2×#15688997C212yesmaximal, complemented
8C2×#15688994C212yesmaximal, complemented
9C2×#15688992C211yesmaximal, characteristic, complemented
10C2×#15688982C212yesmaximal, complemented
11C2×C4×Dic47⋊C4C211yesmaximal, characteristic, complemented
12C2×C47×#389C211yesmaximal, characteristic, complemented
13C23×D188C2211yescharacteristic
14C23×C4×D47C2212yes—
15C23×C4×D47C2212yes—
16C23×C4×D47C2212yes—
17C2×C4×D188—28no—
18C2×C4×D188C2218yes—
19C2×#13093986—28no—
20C2×#13093986C4116yescomplemented
21C2×#13093986C2218yes—
22C2×#13093986C2218yes—
23C22×C4⋊Dic47C2211yescharacteristic
24C22×C4⋊Dic47C2212yes—
25C22×Dic47⋊C4C2211yescharacteristic
26C22×Dic47⋊C4C2212yes—
27C22×Dic47⋊C4C2212yes—
28C22×Dic47⋊C4C2211yescharacteristic
29C2×C4⋊C4×D47—216no—
30C2×C4⋊C4×D47C22116yescomplemented
31C22×(C2×D47)⋊C4C2212yes—
32C22×(C2×D47)⋊C4C2212yes—
33C22×(C2×D47)⋊C4C2212yes—
34C22×C4×Dic47C2211yescharacteristic
35C22×C4×Dic47C2211yescharacteristic
36#15689022C2218yescomplemented
37#15688997C22116yescomplemented
38#15688994C22116yescomplemented
39#15688992C2218yescomplemented
40#15688982C22116yescomplemented
41C4×Dic47⋊C4C2218yescomplemented
42C2×C47⋊#95C2212yes—
43C2×C47⋊#95C2211yescharacteristic
44C2×C47⋊#95C2211yescharacteristic
45C22×C4⋊C4×C47C2211yescharacteristic
46C22×C4⋊C4×C47C2212yes—
47C22×C4⋊C4×C47C2211yescharacteristic
48C22×C42×C47C2211yescharacteristic
49C47×#389C2218yescomplemented
50C2×#95×C47C2212yes—
51C24×D47C2312yes—
52C22×D188C2×C418yes—
53C22×D188D418yes—
54C22×D188Q818yes—
55C22×D188C2314yes—
56C23×Dic47C2311yescharacteristic
57C23×Dic47C2312yes—
58C23×Dic47C2311yescharacteristic
59C23×Dic47C2311yescharacteristic
60C23×Dic47C2311yescharacteristic
61C22×C4×D47—28no—
62C22×C4×D47—28no—
63C22×C4×D47—28no—
64C22×C4×D47—28no—
65C22×C4×D47—28no—
66C22×C4×D47—28no—
67C22×C4×D47—44no—
68C22×C4×D47—44no—
69C22×C4×D47C2×C4116yescomplemented
70C22×C4×D47C2318yes—
71C22×C4×D47C2318yes—
72C22×C4×D47C2318yes—
73C4×D188—232no—
74#13093986—232no—
75#13093986C2×C4164yescomplemented
76C2×C4⋊Dic47—24no—
77C2×C4⋊Dic47—28no—
78C2×C4⋊Dic47C2314yes—
79C2×C4⋊Dic47C2318yes—
80C2×Dic47⋊C4—28no—
81C2×Dic47⋊C4—24no—
82C2×Dic47⋊C4—44no—
83C2×Dic47⋊C4D418yescomplemented
84C2×Dic47⋊C4C2314yes—
85C2×Dic47⋊C4C2318yes—
86C2×Dic47⋊C4C2318yes—
87C2×Dic47⋊C4C2314yes—
88C4⋊C4×D47—264no—
89C2×(C2×D47)⋊C4—28no—
90C2×(C2×D47)⋊C4—28no—
91C2×(C2×D47)⋊C4C2×C4116yescomplemented
92C2×(C2×D47)⋊C4C2318yes—
93C2×(C2×D47)⋊C4C2318yes—
94C2×(C2×D47)⋊C4C2318yes—
95C2×C4×Dic47—24no—
96C2×C4×Dic47C2×C418yescomplemented
97C2×C4×Dic47C2314yes—
98C2×C4×Dic47C2314yes—
99C47⋊#95C2314yes—
100C47⋊#95C2314yes—
101C47⋊#95C2318yes—
102C23×C4×C47C2311yescharacteristic
103C23×C4×C47C2312yes—
104C23×C4×C47C2312yes—
105C23×C4×C47C2311yescharacteristic
106C23×C4×C47C2311yescharacteristic
107C2×C4⋊C4×C47—28no—
108C2×C4⋊C4×C47—24no—
109C2×C4⋊C4×C47C2×C418yescomplemented
110C2×C4⋊C4×C47C2314yes—
111C2×C4⋊C4×C47C2318yes—
112C2×C4⋊C4×C47C2314yes—
113C2×C42×C47—24no—
114C2×C42×C47C2314yes—
115#95×C47C2318yes—
116C24×C47C2411yescharacteristic
117C23×D47—24no—
118C23×D47—24no—
119C23×D47—24no—
120C23×D47—24no—
121C23×D47C22×C418yes—
122C23×D47C2×D418yes—
123C23×D47C2×Q818yes—
124C23×D47C2414yes—
125C22×C4×C47—22no—
126C22×C4×C47—24no—
127C22×C4×C47—24no—
128C22×C4×C47—22no—
129C22×C4×C47—22no—
130C22×C4×C47—24no—
131C22×C4×C47—24no—
132C22×C4×C47—22no—
133C22×C4×C47—24no—
134C22×C4×C47—22no—
135C22×C4×C47C22×C418yes—
136C22×C4×C47C22×C414yes—
137C22×C4×C47C2×D414yes—
138C22×C4×C47C2×D414yes—
139C22×C4×C47C2×Q814yes—
140C22×C4×C47C2412yes—
141C22×C4×C47C2414yes—
142C22×C4×C47C2414yes—
143C22×C4×C47C2412yes—
144C22×C4×C47C2412yes—
145C22×Dic47—22no—
146C22×Dic47—22no—
147C22×Dic47—22no—
148C22×Dic47—22no—
149C22×Dic47—22no—
150C22×Dic47—24no—
151C22×Dic47—24no—
152C22×Dic47—22no—
153C22×Dic47—24no—
154C22×Dic47—22no—
155C22×Dic47C22×C414yes—
156C22×Dic47C22×C414yes—
157C22×Dic47C2×D414yes—
158C22×Dic47C2×D414yes—
159C22×Dic47#4114yes—
160C22×Dic47C2412yes—
161C22×Dic47C2414yes—
162C22×Dic47C2412yes—
163C22×Dic47C2412yes—
164C22×Dic47C2412yes—
165C2×D188C4⋊C4164yescomplemented
166C2×D188C22×C4116yes—
167C2×D188C2×D4116yes—
168C2×D188C2×Q8116yes—
169C2×C4×D47—264no—
170C2×C4×D47—216no—
171C2×C4×D47—216no—
172C2×C4×D47—216no—
173C2×C4×D47—216no—
174C2×C4×D47—216no—
175C2×C4×D47—216no—
176C2×C4×D47—48no—
177C2×C4×D47—48no—
178C2×C4×D47—432no—
179C2×C4×D47—432no—
180C2×C4×D47C22×C4132yescomplemented
181C4⋊C4×C47—216no—
182C4⋊C4×C47—28no—
183C4⋊C4×C47C22×C4116yescomplemented
184C42×C47—28no—
185(C2×D47)⋊C4—216no—
186(C2×D47)⋊C4—216no—
187(C2×D47)⋊C4C22×C4132yescomplemented
188C4⋊Dic47—28no—
189C4⋊Dic47—216no—
190Dic47⋊C4—216no—
191Dic47⋊C4—28no—
192Dic47⋊C4—48no—
193Dic47⋊C4C2×D4116yescomplemented
194C4×Dic47—28no—
195C4×Dic47C22×C4116yescomplemented
196C23×C47C23×C412yes—
197C23×C47C22×D412yes—
198C23×C47C22×D412yes—
199C23×C47C22×Q812yes—
200C23×C47C2×#4112yes—
201C23×C47H(5,𝔽2)12yes—
202C23×C472−1+412yes—
203C23×C47C2511yescharacteristic
204C22×D47—216no—
205C22×D47—216no—
206C22×D47—216no—
207C22×D47—216no—
208C22×D47—216no—
209C22×D47—216no—
210C22×D47—24no—
211C22×D47—24no—
212C22×D47—24no—
213C22×D47—24no—
214C22×D47C2×C4⋊C4132yescomplemented
215C22×D47C23×C418yes—
216C22×D47C22×D418yes—
217C22×D47C22×Q818yes—
218C2×C4×C47—216no—
219C2×C4×C47—28no—
220C2×C4×C47—24no—
221C2×C4×C47—22no—
222C2×C4×C47—24no—
223C2×C4×C47—22no—
224C2×C4×C47—24no—
225C2×C4×C47—22no—
226C2×C4×C47—24no—
227C2×C4×C47—22no—
228C2×C4×C47—24no—
229C2×C4×C47—22no—
230C2×C4×C47—48no—
231C2×C4×C47—44no—
232C2×C4×C47C2×C4⋊C4116yescomplemented
233C2×C4×C47C23×C418yes—
234C2×C4×C47C23×C414yes—
235C2×C4×C47C22×D414yes—
236C2×C4×C47C22×D414yes—
237C2×C4×C47C22×Q814yes—
238C2×Dic47—28no—
239C2×Dic47—28no—
240C2×Dic47—22no—
241C2×Dic47—22no—
242C2×Dic47—22no—
243C2×Dic47—22no—
244C2×Dic47—22no—
245C2×Dic47—24no—
246C2×Dic47—24no—
247C2×Dic47—22no—
248C2×Dic47—24no—
249C2×Dic47—22no—
250C2×Dic47—48no—
251C2×Dic47—44no—
252C2×Dic47C4×D4116yescomplemented
253C2×Dic47C23×C414yes—
254C2×Dic47C23×C414yes—
255C2×Dic47C22×D414yes—
256C2×Dic47C22×D414yes—
257C2×Dic47C2×#4114yes—
258D188C2×C4⋊C4164yescomplemented
259C4×D47—264no—
260C4×D47—432no—
261C4×D47—432no—
262C2×D4×C4⋊C4—471nomaximal, Sylow
263C22×C47C22×C4⋊C414yes—
264C22×C47C2×C4×D414yes—
265C22×C47#52014yes—
266C22×C47D4214yes—
267C22×C47#54714yes—
268C22×C47D4×Q814yes—
269C22×C47#55414yes—
270C22×C47C24×C411yescharacteristic
271C22×C47C23×D411yescharacteristic
272C22×C47C23×D411yescharacteristic
273C22×C47C23×Q811yescharacteristic
274C22×C47C22×#4111yescharacteristic
275C22×C47C2×H(5,𝔽2)11yescharacteristic
276C22×C47C2×2−1+411yescharacteristic
277C2×D47—264no—
278C2×D47—28no—
279C2×D47—28no—
280C2×D47—28no—
281C2×D47—28no—
282C2×D47—28no—
283C2×D47—28no—
284C2×D47C22×C4⋊C4116yescomplemented
285C4×C47—28no—
286C4×C47—24no—
287C4×C47—44no—
288C4×C47—42no—
289C4×C47C22×C4⋊C418yescomplemented
290Dic47—24no—
291Dic47—24no—
292Dic47—44no—
293Dic47—42no—
294Dic47C2×C4×D418yescomplemented
295C22×C4×D4—471no—
296C22×C4×D4—471no—
297C22×C4×D4—471no—
298C23×C4⋊C4—472no—
299D4×C4⋊C4—4716no—
300C2×#389—471no—
301C2×#389D4711yescharacteristic, complemented
302C2×#385—472no—
303C2×#385—472no—
304C2×#384—471no—
305C2×#380—472no—
306C2×C4×C4⋊C4—471no—
307C2×C47D4×C4⋊C418yescomplemented
308C2×C47C23×C4⋊C411yescharacteristic
309C2×C47C22×C4×D411yescharacteristic
310C2×C47C2×#52011yescharacteristic
311C2×C47C2×D4211yescharacteristic
312C2×C47C2×#54711yescharacteristic
313C2×C47C2×D4×Q811yescharacteristic
314C2×C47C2×#55411yescharacteristic
315D47—216no—
316C23×D4—471no—
317C24×C4—472no—
318C24×C4—472no—
319C24×C4—472no—
320C2×C4×D4—4716no—
321C2×C4×D4—478no—
322C2×C4×D4—478no—
323C2×C4×D4—478no—
324C2×C4×D4—948no—
325C2×C4×D4—948no—
326C22×C4⋊C4—471no—
327C22×C4⋊C4—472no—
328C22×C4⋊C4—472no—
329C22×C4⋊C4—471no—
330C22×C4⋊C4—471no—
331C22×C4⋊C4—472no—
332C22×C4⋊C4—4716no—
333C22×C4⋊C4—9416no—
334C22×C4⋊C4C2×D4712yes—
335C22×C4⋊C4C2×D4711yescharacteristic
336C22×C4⋊C4C2×D4711yescharacteristic
337C22×C22⋊C4—472no—
338C22×C22⋊C4—472no—
339C22×C22⋊C4—472no—
340C22×C42—471no—
341C22×C42—471no—
342C22×C42C2×D4711yescharacteristic
343#389—478no—
344#389C2×D4718yescomplemented
345#385—4716no—
346#385—4716no—
347#384—478no—
348#380—4716no—
349C4×C4⋊C4—478no—
350C2×#95—471no—
351C2×#95—471no—
352C2×#95—472no—
353C2×#95C2×D4712yes—
354C47C2×D4×C4⋊C411yescharacteristic, complemented, Sylow
355C25—472no—
356C22×D4—478no—
357C22×D4—478no—
358C22×D4—478no—
359C22×D4—474no—
360C23×C4—471no—
361C23×C4—471no—
362C23×C4—471no—
363C23×C4—4716no—
364C23×C4—478no—
365C23×C4—471no—
366C23×C4—472no—
367C23×C4—478no—
368C23×C4—478no—
369C23×C4—948no—
370C23×C4—948no—
371C23×C4—948no—
372C23×C4—948no—
373C23×C4—948no—
374C23×C4—948no—
375C23×C4—1884no—
376C23×C4—1884no—
377C23×C4C22×D4711yescharacteristic
378C23×C4C22×D4712yes—
379C23×C4C22×D4712yes—
380C23×C4C22×D4711yescharacteristic
381C23×C4C22×D4711yescharacteristic
382C4×D4—4764no—
383C4×D4—9432no—
384C4×D4—9432no—
385C2×C4⋊C4—28no—
386C2×C4⋊C4—24no—
387C2×C4⋊C4—478no—
388C2×C4⋊C4—474no—
389C2×C4⋊C4—478no—
390C2×C4⋊C4—478no—
391C2×C4⋊C4—474no—
392C2×C4⋊C4—474no—
393C2×C4⋊C4—478no—
394C2×C4⋊C4—9464no—
395C2×C4⋊C4—948no—
396C2×C4⋊C4—948no—
397C2×C4⋊C4—944no—
398C2×C4⋊C4—944no—
399C2×C4⋊C4—1884no—
400C2×C4⋊C4C4×D4718yescomplemented
401C2×C4⋊C4C22×D4718yes—
402C2×C4⋊C4C22×D4714yes—
403C2×C4⋊C4C22×D4714yes—
404C2×C22⋊C4—4716no—
405C2×C22⋊C4—478no—
406C2×C22⋊C4—478no—
407C2×C22⋊C4—478no—
408C2×C22⋊C4—948no—
409C2×C22⋊C4—948no—
410C2×C42—24no—
411C2×C42—478no—
412C2×C42—474no—
413C2×C42—474no—
414C2×C42—944no—
415C2×C42C22×D4714yes—
416#95—474no—
417#95—474no—
418#95—478no—
419#95C22×D4718yes—
420C24—478no—
421C24—478no—
422C24—478no—
423C24—474no—
424C24—944no—
425C24—944no—
426C24—944no—
427C24—944no—
428C24C23×D4711yescharacteristic
429C2×D4—4764no—
430C2×D4—4716no—
431C2×D4—4716no—
432C2×D4—4716no—
433C22×C4—22no—
434C22×C4—24no—
435C22×C4—24no—
436C22×C4—22no—
437C22×C4—22no—
438C22×C4—24no—
439C22×C4—24no—
440C22×C4—22no—
441C22×C4—24no—
442C22×C4—22no—
443C22×C4—474no—
444C22×C4—474no—
445C22×C4—474no—
446C22×C4—472no—
447C22×C4—474no—
448C22×C4—474no—
449C22×C4—472no—
450C22×C4—472no—
451C22×C4—4732no—
452C22×C4—472no—
453C22×C4—474no—
454C22×C4—9416no—
455C22×C4—9464no—
456C22×C4—9416no—
457C22×C4—9416no—
458C22×C4—9416no—
459C22×C4—9416no—
460C22×C4—942no—
461C22×C4—942no—
462C22×C4—942no—
463C22×C4—942no—
464C22×C4—942no—
465C22×C4—944no—
466C22×C4—944no—
467C22×C4—942no—
468C22×C4—944no—
469C22×C4—942no—
470C22×C4—9416no—
471C22×C4—1888no—
472C22×C4—1888no—
473C22×C4—18832no—
474C22×C4—18832no—
475C22×C4C2×C4×D4718yes—
476C22×C4C2×C4×D4714yes—
477C22×C4D4×D4714yes—
478C22×C4D4×D4714yes—
479C22×C4Q8×D4714yes—
480C22×C4C23×D4712yes—
481C22×C4C23×D4714yes—
482C22×C4C23×D4714yes—
483C22×C4C23×D4712yes—
484C22×C4C23×D4712yes—
485C4⋊C4—216no—
486C4⋊C4—28no—
487C4⋊C4—4716no—
488C4⋊C4—948no—
489C4⋊C4—9416no—
490C4⋊C4—9416no—
491C4⋊C4—948no—
492C4⋊C4—1888no—
493C4⋊C4C2×C4×D47116yescomplemented
494C22⋊C4—4732no—
495C22⋊C4—9416no—
496C22⋊C4—9416no—
497C42—28no—
498C42—4716no—
499C42—948no—
500C23—4732no—
501C23—478no—
502C23—478no—
503C23—478no—
504C23—9416no—
505C23—9416no—
506C23—9416no—
507C23—9416no—
508C23—9416no—
509C23—9416no—
510C23—944no—
511C23—944no—
512C23—944no—
513C23—944no—
514C23C22×C4×D4712yes—
515C23C2×D4×D4712yes—
516C23C2×D4×D4712yes—
517C23C2×Q8×D4712yes—
518C23#41×D4712yes—
519C23#1309407012yes—
520C23#1309407212yes—
521C23C24×D4711yescharacteristic
522D4—4764no—
523C2×C4—28no—
524C2×C4—216no—
525C2×C4—22no—
526C2×C4—24no—
527C2×C4—24no—
528C2×C4—22no—
529C2×C4—22no—
530C2×C4—24no—
531C2×C4—24no—
532C2×C4—22no—
533C2×C4—24no—
534C2×C4—22no—
535C2×C4—48no—
536C2×C4—44no—
537C2×C4—4716no—
538C2×C4—474no—
539C2×C4—474no—
540C2×C4—474no—
541C2×C4—474no—
542C2×C4—474no—
543C2×C4—9464no—
544C2×C4—948no—
545C2×C4—948no—
546C2×C4—942no—
547C2×C4—942no—
548C2×C4—942no—
549C2×C4—942no—
550C2×C4—942no—
551C2×C4—944no—
552C2×C4—944no—
553C2×C4—942no—
554C2×C4—944no—
555C2×C4—942no—
556C2×C4—18832no—
557C2×C4—18832no—
558C2×C4—1888no—
559C2×C4—1884no—
560C2×C4C4⋊C4×D47116yescomplemented
561C2×C4C22×C4×D4718yes—
562C2×C4C22×C4×D4714yes—
563C2×C4C2×D4×D4714yes—
564C2×C4C2×D4×D4714yes—
565C2×C4C2×Q8×D4714yes—
566C22—4716no—
567C22—9464no—
568C22—948no—
569C22—948no—
570C22—948no—
571C22—948no—
572C22—948no—
573C22—948no—
574C22C2×C4⋊C4×D4714yes—
575C22C4×D4×D4714yes—
576C22#1568960514yes—
577C22#1568975714yes—
578C22#1568977514yes—
579C22#1568978814yes—
580C22#1568982914yes—
581C22C23×C4×D4711yescharacteristic
582C22C22×D4×D4711yescharacteristic
583C22C22×D4×D4711yescharacteristic
584C22C22×Q8×D4711yescharacteristic
585C22C2×#41×D4711yescharacteristic
586C22C2×#1309407011yescharacteristic
587C22C2×#1309407211yescharacteristic
588C4—28no—
589C4—24no—
590C4—44no—
591C4—42no—
592C4—478no—
593C4—944no—
594C4—944no—
595C4—1884no—
596C4—1882no—
597C4C2×C4⋊C4×D4718yescomplemented
598C2—9416no—
599C2#2024628918yesdirect product factor
600C2C22×C4⋊C4×D4711yescharacteristic
601C2C2×C4×D4×D4711yescharacteristic
602C2C2×#1568960511yescharacteristic
603C2C2×#1568975711yescharacteristic
604C2C2×#1568977511yescharacteristic
605C2C2×#1568978811yescharacteristic
606C2C2×#1568982911yescharacteristic
subgroupG/H
centerC24C23×D47
commutatorC22×C47C24×C4
FrattiniC23C24×D47
FittingC2×C47×#389C2
socleC24×C47C24
prime radicalC23×D188C22
cosocleC23×C47C25
hypercenterC2×#389D47
hypocenterC47C2×D4×C4⋊C4
LCSG ▷ C22×C47 ▷ C47
UCSC1 ◁ C24 ◁ C2×#389

Complements

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

NH ≅ G/Ntype
4. C22×C4⋊C4×D47C2semidirect
5. #20246289C2direct (N × H)
6. C2×#15689022C2semidirect
7. C2×#15688997C2semidirect
8. C2×#15688994C2semidirect
9. C2×#15688992C2semidirect
10. C2×#15688982C2semidirect
11. C2×C4×Dic47⋊C4C2semidirect
12. C2×C47×#389C2semidirect
20. C2×#13093986C4semidirect
30. C2×C4⋊C4×D47C22semidirect
36. #15689022C22semidirect
37. #15688997C22semidirect
38. #15688994C22semidirect
39. #15688992C22semidirect
40. #15688982C22semidirect
41. C4×Dic47⋊C4C22semidirect
49. C47×#389C22semidirect
69. C22×C4×D47C2×C4semidirect
75. #13093986C2×C4semidirect
83. C2×Dic47⋊C4D4semidirect
91. C2×(C2×D47)⋊C4C2×C4semidirect
96. C2×C4×Dic47C2×C4semidirect
109. C2×C4⋊C4×C47C2×C4semidirect
165. C2×D188C4⋊C4semidirect
180. C2×C4×D47C22×C4semidirect
183. C4⋊C4×C47C22×C4semidirect
187. (C2×D47)⋊C4C22×C4semidirect
193. Dic47⋊C4C2×D4semidirect
195. C4×Dic47C22×C4semidirect
214. C22×D47C2×C4⋊C4semidirect
232. C2×C4×C47C2×C4⋊C4semidirect
252. C2×Dic47C4×D4semidirect
258. D188C2×C4⋊C4semidirect
284. C2×D47C22×C4⋊C4semidirect
289. C4×C47C22×C4⋊C4semidirect
294. Dic47C2×C4×D4semidirect
301. C2×#389D47semidirect
307. C2×C47D4×C4⋊C4semidirect
344. #389C2×D47semidirect
354. C47C2×D4×C4⋊C4semidirect
400. C2×C4⋊C4C4×D47semidirect
493. C4⋊C4C2×C4×D47semidirect
560. C2×C4C4⋊C4×D47semidirect
597. C4C2×C4⋊C4×D47semidirect
599. C2#20246289direct (N × H)

Maximal subgroups

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

subgroupindex
C22×C4×D1882
C22×#130939862
C22×C4⋊C4×D472
#202462892
C2×#156890222
C2×#156889972
C2×#156889942
C2×#156889922
C2×#156889822
C2×C4×Dic47⋊C42
C2×C47×#3892
C2×D4×C4⋊C447