Finite Group Databasebeta

← C2×#20246284 #26375559

Subgroups — C2×#20246284 #26375559

Order 12032.

4718 conjugacy classes of subgroups.

The subgroup lattice has 668 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×C4×C22⋊D47C211yesmaximal, characteristic
2C22×(C22⋊D47)⋊C4C212yesmaximal
3C23×C4⋊Dic47C211yesmaximal, characteristic, complemented
4C22×C4⋊C4×D47C211yesmaximal, characteristic, complemented
5#20246284C2116yesmaximal, direct product factor
6C2×#15689020C212yesmaximal, complemented
7C2×#15688997C212yesmaximal, complemented
8C2×#15688995C212yesmaximal, complemented
9C2×#15688992C211yesmaximal, characteristic, complemented
10C2×#15688980C211yesmaximal, characteristic, complemented
11C2×C4⋊C4×Dic47C211yesmaximal, characteristic, complemented
12C2×C47×#380C211yesmaximal, characteristic, complemented
13C23×C22⋊D47C2211yescharacteristic
14C24×Dic47C2212yes—
15C23×C4×D47C2212yes—
16C23×C4×D47C2211yescharacteristic
17C2×C4×C22⋊D47C4116yescomplemented
18C2×C4×C22⋊D47C2218yes—
19C2×(C22⋊D47)⋊C4—216no—
20C2×(C22⋊D47)⋊C4C22116yes—
21C22×C4⋊Dic47—28no—
22C22×C4⋊Dic47C2211yescharacteristic
23C22×C4⋊Dic47C2212yes—
24C22×C4⋊Dic47C2211yescharacteristic
25C22×C4⋊Dic47C2218yescomplemented
26C22×Dic47⋊C4C2212yes—
27C22×Dic47⋊C4C2212yes—
28C22×Dic47⋊C4C2212yes—
29C22×Dic47⋊C4C2211yescharacteristic
30C2×C4⋊C4×D47—28no—
31C2×C4⋊C4×D47C2218yescomplemented
32C22×C22⋊Dic47C2211yescharacteristic
33C22×(C2×D47)⋊C4C2212yes—
34C22×(C2×D47)⋊C4C2211yescharacteristic
35C22×C4×Dic47C2212yes—
36C22×C4×Dic47C2211yescharacteristic
37#15689020C22116yescomplemented
38#15688997C22116yescomplemented
39#15688995C22116yescomplemented
40#15688992C2218yescomplemented
41#15688980C2218yescomplemented
42C4⋊C4×Dic47C2218yescomplemented
43C2×C47⋊#95C2212yes—
44C2×C47⋊#95C2212yes—
45C24×C4×C47C2211yescharacteristic
46C22×C4⋊C4×C47C2211yescharacteristic
47C22×C4⋊C4×C47C2211yescharacteristic
48C22×C22⋊C4×C47C2212yes—
49C47×#380C2218yescomplemented
50C2×#95×C47C2212yes—
51C24×D47C2311yescharacteristic
52C22×C22⋊D47C2×C418yes—
53C22×C22⋊D47D418yes—
54C22×C22⋊D47Q818yes—
55C22×C22⋊D47C2314yes—
56C23×Dic47—28no—
57C23×Dic47—28no—
58C23×Dic47—44no—
59C23×Dic47C2312yes—
60C23×Dic47C2318yes—
61C23×Dic47C2311yescharacteristic
62C23×Dic47C2311yescharacteristic
63C23×Dic47C2312yes—
64C23×Dic47C2311yescharacteristic
65C22×C4×D47—24no—
66C22×C4×D47—24no—
67C22×C4×D47—28no—
68C22×C4×D47—28no—
69C22×C4×D47—44no—
70C22×C4×D47C2×C418yescomplemented
71C22×C4×D47C2318yes—
72C22×C4×D47C2314yes—
73C4×C22⋊D47C2×C4164yescomplemented
74(C22⋊D47)⋊C4—264no—
75C2×C4⋊Dic47—24no—
76C2×C4⋊Dic47—28no—
77C2×C4⋊Dic47—232no—
78C2×C4⋊Dic47D418yescomplemented
79C2×C4⋊Dic47C2314yes—
80C2×C4⋊Dic47C2318yes—
81C2×C4⋊Dic47C2314yes—
82C2×Dic47⋊C4—28no—
83C2×Dic47⋊C4—28no—
84C2×Dic47⋊C4—44no—
85C2×Dic47⋊C4C2×C418yescomplemented
86C2×Dic47⋊C4C2318yes—
87C2×Dic47⋊C4C2318yes—
88C2×Dic47⋊C4C2318yes—
89C2×Dic47⋊C4C2314yes—
90C4⋊C4×D47—232no—
91C2×C22⋊Dic47C2×C418yescomplemented
92C2×C22⋊Dic47C2314yes—
93C2×(C2×D47)⋊C4—28no—
94C2×(C2×D47)⋊C4C2×C418yescomplemented
95C2×(C2×D47)⋊C4C2318yes—
96C2×(C2×D47)⋊C4C2314yes—
97C2×C4×Dic47—28no—
98C2×C4×Dic47C2×C418yescomplemented
99C2×C4×Dic47C2318yes—
100C2×C4×Dic47C2314yes—
101C47⋊#95C2318yes—
102C47⋊#95C2318yes—
103C25×C47C2311yescharacteristic
104C23×C4×C47—24no—
105C23×C4×C47—24no—
106C23×C4×C47C2×C418yescomplemented
107C23×C4×C47C2312yes—
108C23×C4×C47C2312yes—
109C23×C4×C47C2311yescharacteristic
110C23×C4×C47C2314yes—
111C23×C4×C47C2311yescharacteristic
112C2×C4⋊C4×C47—24no—
113C2×C4⋊C4×C47—24no—
114C2×C4⋊C4×C47C2314yes—
115C2×C4⋊C4×C47C2314yes—
116C2×C22⋊C4×C47—28no—
117C2×C22⋊C4×C47C2318yes—
118#95×C47C2318yes—
119C24×C47—22no—
120C24×C47—22no—
121C24×C47—22no—
122C24×C47—22no—
123C24×C47C22×C414yes—
124C24×C47C2×D414yes—
125C24×C47C2×Q814yes—
126C24×C47C2412yes—
127C24×C47C2411yescharacteristic
128C23×D47—22no—
129C23×D47—22no—
130C23×D47—22no—
131C23×D47—22no—
132C23×D47C22×C414yes—
133C23×D47C2×D414yes—
134C23×D47C2×Q814yes—
135C23×D47C2412yes—
136C22×C4×C47—22no—
137C22×C4×C47—22no—
138C22×C4×C47—232no—
139C22×C4×C47—28no—
140C22×C4×C47—28no—
141C22×C4×C47—24no—
142C22×C4×C47—24no—
143C22×C4×C47—24no—
144C22×C4×C47—24no—
145C22×C4×C47—24no—
146C22×C4×C47—24no—
147C22×C4×C47C22×C414yes—
148C22×C4×C47C22×C414yes—
149C22×C4×C47C22×C4116yescomplemented
150C22×C4×C47C2×D414yes—
151C22×C4×C47#4114yes—
152C22×C4×C47C2414yes—
153C22×C4×C47C2414yes—
154C22×C4×C47C2412yes—
155C22×C4×C47C2412yes—
156C2×C22⋊D47C4⋊C4164yescomplemented
157C2×C22⋊D47C22×C4116yes—
158C2×C22⋊D47C2×D4116yes—
159C2×C22⋊D47C2×Q8116yes—
160C22×Dic47—24no—
161C22×Dic47—22no—
162C22×Dic47—22no—
163C22×Dic47—22no—
164C22×Dic47—24no—
165C22×Dic47—22no—
166C22×Dic47—24no—
167C22×Dic47—24no—
168C22×Dic47—216no—
169C22×Dic47—24no—
170C22×Dic47—216no—
171C22×Dic47—48no—
172C22×Dic47—432no—
173C22×Dic47C22×C414yes—
174C22×Dic47C22×C414yes—
175C22×Dic47C22×C414yes—
176C22×Dic47C2×D418yes—
177C22×Dic47C2×D414yes—
178C22×Dic47C2×Q814yes—
179C22×Dic47C2414yes—
180C22×Dic47C2412yes—
181C22×Dic47C2412yes—
182C22×Dic47C2414yes—
183C22×Dic47C2412yes—
184C2×C4×D47—232no—
185C2×C4×D47—28no—
186C2×C4×D47—28no—
187C2×C4×D47—216no—
188C2×C4×D47—216no—
189C2×C4×D47—48no—
190C2×C4×D47—432no—
191C2×C4×D47C22×C4116yescomplemented
192C4⋊C4×C47—28no—
193C4⋊C4×C47—28no—
194C22⋊C4×C47—216no—
195C22⋊Dic47C22×C4116yescomplemented
196(C2×D47)⋊C4—216no—
197(C2×D47)⋊C4C22×C4116yescomplemented
198C4⋊Dic47—28no—
199C4⋊Dic47—216no—
200C4⋊Dic47C2×D4116yescomplemented
201Dic47⋊C4—216no—
202Dic47⋊C4—216no—
203Dic47⋊C4—48no—
204Dic47⋊C4C22×C4116yescomplemented
205C4×Dic47—216no—
206C4×Dic47C22×C4116yescomplemented
207C23×C47—28no—
208C23×C47—28no—
209C23×C47—28no—
210C23×C47—28no—
211C23×C47—28no—
212C23×C47—28no—
213C23×C47—22no—
214C23×C47—22no—
215C23×C47—22no—
216C23×C47—22no—
217C23×C47C2×C4⋊C4116yescomplemented
218C23×C47C23×C414yes—
219C23×C47C23×C412yes—
220C23×C47C22×D414yes—
221C23×C47C22×D412yes—
222C23×C47C22×D412yes—
223C23×C47C22×Q814yes—
224C23×C47C22×Q812yes—
225C23×C47C2×#4112yes—
226C23×C47H(5,𝔽2)12yes—
227C23×C472−1+412yes—
228C23×C47C2511yescharacteristic
229C22×D47—28no—
230C22×D47—28no—
231C22×D47—28no—
232C22×D47—28no—
233C22×D47—28no—
234C22×D47—28no—
235C22×D47—22no—
236C22×D47—22no—
237C22×D47—22no—
238C22×D47—22no—
239C22×D47C2×C4⋊C4116yescomplemented
240C22×D47C23×C414yes—
241C22×D47C22×D414yes—
242C22×D47C22×Q814yes—
243C2×C4×C47—28no—
244C2×C4×C47—22no—
245C2×C4×C47—22no—
246C2×C4×C47—232no—
247C2×C4×C47—24no—
248C2×C4×C47—24no—
249C2×C4×C47—24no—
250C2×C4×C47—24no—
251C2×C4×C47—24no—
252C2×C4×C47—24no—
253C2×C4×C47—48no—
254C2×C4×C47—48no—
255C2×C4×C47C4×D4116yescomplemented
256C2×C4×C47C23×C414yes—
257C2×C4×C47C23×C414yes—
258C2×C4×C47C22×D414yes—
259C2×C4×C47C2×#4114yes—
260C22⋊D47C2×C4⋊C4164yescomplemented
261C2×Dic47—28no—
262C2×Dic47—28no—
263C2×Dic47—216no—
264C2×Dic47—24no—
265C2×Dic47—22no—
266C2×Dic47—22no—
267C2×Dic47—22no—
268C2×Dic47—24no—
269C2×Dic47—22no—
270C2×Dic47—24no—
271C2×Dic47—24no—
272C2×Dic47—24no—
273C2×Dic47—432no—
274C2×Dic47—48no—
275C2×Dic47C2×C4⋊C4116yescomplemented
276C2×Dic47C23×C414yes—
277C2×Dic47C23×C414yes—
278C2×Dic47C23×C414yes—
279C2×Dic47C22×D418yes—
280C2×Dic47C22×D414yes—
281C2×Dic47C22×Q814yes—
282C4×D47—232no—
283C4×D47—432no—
284C2×D4×C4⋊C4—471nomaximal, Sylow
285C22×C47—232no—
286C22×C47—24no—
287C22×C47—24no—
288C22×C47—24no—
289C22×C47—24no—
290C22×C47—24no—
291C22×C47—24no—
292C22×C47C22×C4⋊C414yes—
293C22×C47C22×C4⋊C418yescomplemented
294C22×C47C2×C4×D414yes—
295C22×C47#52014yes—
296C22×C47D4214yes—
297C22×C47#54714yes—
298C22×C47D4×Q814yes—
299C22×C47#55414yes—
300C22×C47C24×C411yescharacteristic
301C22×C47C23×D411yescharacteristic
302C22×C47C23×D411yescharacteristic
303C22×C47C23×Q811yescharacteristic
304C22×C47C22×#4111yescharacteristic
305C22×C47C2×H(5,𝔽2)11yescharacteristic
306C22×C47C2×2−1+411yescharacteristic
307C2×D47—232no—
308C2×D47—24no—
309C2×D47—24no—
310C2×D47—24no—
311C2×D47—24no—
312C2×D47—24no—
313C2×D47—24no—
314C2×D47C22×C4⋊C418yescomplemented
315C4×C47—24no—
316C4×C47—44no—
317C4×C47—44no—
318C4×C47C2×C4×D418yescomplemented
319Dic47—24no—
320Dic47—24no—
321Dic47—28no—
322Dic47—44no—
323Dic47C22×C4⋊C418yescomplemented
324C22×C4×D4—471no—
325C22×C4×D4—472no—
326C23×C4⋊C4—471no—
327C23×C4⋊C4—471no—
328D4×C4⋊C4—4716no—
329C2×#389—472no—
330C2×#385—472no—
331C2×#385—472no—
332C2×#384—471no—
333C2×#380—471no—
334C2×#380D4711yescharacteristic, complemented
335C2×C4×C4⋊C4—471no—
336C2×C47—28no—
337C2×C47D4×C4⋊C418yescomplemented
338C2×C47C23×C4⋊C411yescharacteristic
339C2×C47C22×C4×D411yescharacteristic
340C2×C47C2×#52011yescharacteristic
341C2×C47C2×D4211yescharacteristic
342C2×C47C2×#54711yescharacteristic
343C2×C47C2×D4×Q811yescharacteristic
344C2×C47C2×#55411yescharacteristic
345D47—28no—
346C23×D4—471no—
347C24×C4—471no—
348C24×C4—472no—
349C24×C4—472no—
350C24×C4C2×D4711yescharacteristic
351C2×C4×D4—4716no—
352C2×C4×D4—478no—
353C2×C4×D4—4716no—
354C2×C4×D4—9416no—
355C22×C4⋊C4—471no—
356C22×C4⋊C4—471no—
357C22×C4⋊C4—478no—
358C22×C4⋊C4—472no—
359C22×C4⋊C4—471no—
360C22×C4⋊C4—472no—
361C22×C4⋊C4—472no—
362C22×C4⋊C4—472no—
363C22×C4⋊C4—478no—
364C22×C4⋊C4—948no—
365C22×C4⋊C4—948no—
366C22×C4⋊C4C2×D4711yescharacteristic
367C22×C4⋊C4C2×D4711yescharacteristic
368C22×C22⋊C4—471no—
369C22×C22⋊C4—471no—
370C22×C22⋊C4—472no—
371C22×C22⋊C4C2×D4712yes—
372C22×C42—471no—
373C22×C42—472no—
374#389—4716no—
375#385—4716no—
376#385—4716no—
377#384—478no—
378#380—478no—
379#380C2×D4718yescomplemented
380C4×C4⋊C4—478no—
381C2×#95—472no—
382C2×#95—472no—
383C2×#95C2×D4712yes—
384C47C2×D4×C4⋊C411yescharacteristic, complemented, Sylow
385C25—471no—
386C25C22×D4711yescharacteristic
387C22×D4—478no—
388C22×D4—478no—
389C22×D4—478no—
390C22×D4—474no—
391C23×C4—24no—
392C23×C4—24no—
393C23×C4—471no—
394C23×C4—471no—
395C23×C4—471no—
396C23×C4—472no—
397C23×C4—478no—
398C23×C4—474no—
399C23×C4—472no—
400C23×C4—478no—
401C23×C4—478no—
402C23×C4—948no—
403C23×C4—948no—
404C23×C4—948no—
405C23×C4—944no—
406C23×C4—944no—
407C23×C4—948no—
408C23×C4—1884no—
409C23×C4—1884no—
410C23×C4C4×D4718yescomplemented
411C23×C4C22×D4712yes—
412C23×C4C22×D4712yes—
413C23×C4C22×D4711yescharacteristic
414C23×C4C22×D4714yes—
415C23×C4C22×D4711yescharacteristic
416C4×D4—4764no—
417C4×D4—9464no—
418C2×C4⋊C4—24no—
419C2×C4⋊C4—24no—
420C2×C4⋊C4—478no—
421C2×C4⋊C4—478no—
422C2×C4⋊C4—474no—
423C2×C4⋊C4—474no—
424C2×C4⋊C4—478no—
425C2×C4⋊C4—474no—
426C2×C4⋊C4—478no—
427C2×C4⋊C4—478no—
428C2×C4⋊C4—478no—
429C2×C4⋊C4—9432no—
430C2×C4⋊C4—9432no—
431C2×C4⋊C4—948no—
432C2×C4⋊C4—948no—
433C2×C4⋊C4—948no—
434C2×C4⋊C4—944no—
435C2×C4⋊C4—1884no—
436C2×C4⋊C4C22×D4714yes—
437C2×C4⋊C4C22×D4714yes—
438C2×C22⋊C4—28no—
439C2×C22⋊C4—478no—
440C2×C22⋊C4—474no—
441C2×C22⋊C4—478no—
442C2×C22⋊C4—474no—
443C2×C22⋊C4—478no—
444C2×C22⋊C4—948no—
445C2×C22⋊C4C22×D4718yes—
446C2×C42—478no—
447C2×C42—474no—
448C2×C42—478no—
449C2×C42—948no—
450#95—478no—
451#95—478no—
452#95C22×D4718yes—
453C24—22no—
454C24—22no—
455C24—22no—
456C24—22no—
457C24—474no—
458C24—474no—
459C24—474no—
460C24—472no—
461C24—942no—
462C24—942no—
463C24—942no—
464C24—942no—
465C24C2×C4×D4714yes—
466C24D4×D4714yes—
467C24Q8×D4714yes—
468C24C23×D4712yes—
469C24C23×D4711yescharacteristic
470C2×D4—4764no—
471C2×D4—4716no—
472C2×D4—4716no—
473C2×D4—4716no—
474C22×C4—22no—
475C22×C4—22no—
476C22×C4—232no—
477C22×C4—28no—
478C22×C4—28no—
479C22×C4—24no—
480C22×C4—24no—
481C22×C4—24no—
482C22×C4—24no—
483C22×C4—24no—
484C22×C4—24no—
485C22×C4—474no—
486C22×C4—474no—
487C22×C4—474no—
488C22×C4—472no—
489C22×C4—474no—
490C22×C4—474no—
491C22×C4—478no—
492C22×C4—472no—
493C22×C4—472no—
494C22×C4—474no—
495C22×C4—4716no—
496C22×C4—474no—
497C22×C4—9416no—
498C22×C4—9416no—
499C22×C4—9416no—
500C22×C4—944no—
501C22×C4—942no—
502C22×C4—942no—
503C22×C4—942no—
504C22×C4—944no—
505C22×C4—942no—
506C22×C4—9432no—
507C22×C4—948no—
508C22×C4—948no—
509C22×C4—944no—
510C22×C4—944no—
511C22×C4—9416no—
512C22×C4—944no—
513C22×C4—1888no—
514C22×C4—18832no—
515C22×C4—1888no—
516C22×C4—18832no—
517C22×C4C2×C4×D4714yes—
518C22×C4C2×C4×D4714yes—
519C22×C4C2×C4×D47116yescomplemented
520C22×C4D4×D4714yes—
521C22×C4#1062535214yes—
522C22×C4C23×D4714yes—
523C22×C4C23×D4714yes—
524C22×C4C23×D4712yes—
525C22×C4C23×D4712yes—
526C4⋊C4—28no—
527C4⋊C4—28no—
528C4⋊C4—4716no—
529C4⋊C4—4716no—
530C4⋊C4—9416no—
531C4⋊C4—9416no—
532C4⋊C4—9416no—
533C4⋊C4—948no—
534C4⋊C4—1888no—
535C22⋊C4—216no—
536C22⋊C4—4716no—
537C22⋊C4—4716no—
538C22⋊C4—9416no—
539C42—4716no—
540C42—9416no—
541C23—28no—
542C23—28no—
543C23—28no—
544C23—28no—
545C23—28no—
546C23—28no—
547C23—22no—
548C23—22no—
549C23—22no—
550C23—22no—
551C23—4716no—
552C23—474no—
553C23—474no—
554C23—474no—
555C23—948no—
556C23—948no—
557C23—948no—
558C23—948no—
559C23—948no—
560C23—948no—
561C23—942no—
562C23—942no—
563C23—942no—
564C23—942no—
565C23C4⋊C4×D47116yescomplemented
566C23C22×C4×D4714yes—
567C23C22×C4×D4712yes—
568C23C2×D4×D4714yes—
569C23C2×D4×D4712yes—
570C23C2×D4×D4712yes—
571C23C2×Q8×D4714yes—
572C23C2×Q8×D4712yes—
573C23C2×#1062535212yes—
574C23#1309407012yes—
575C23#1309407112yes—
576C23C24×D4711yescharacteristic
577D4—4764no—
578C2×C4—28no—
579C2×C4—22no—
580C2×C4—22no—
581C2×C4—232no—
582C2×C4—24no—
583C2×C4—24no—
584C2×C4—24no—
585C2×C4—24no—
586C2×C4—24no—
587C2×C4—24no—
588C2×C4—48no—
589C2×C4—48no—
590C2×C4—4716no—
591C2×C4—474no—
592C2×C4—474no—
593C2×C4—474no—
594C2×C4—474no—
595C2×C4—474no—
596C2×C4—478no—
597C2×C4—9416no—
598C2×C4—948no—
599C2×C4—948no—
600C2×C4—944no—
601C2×C4—942no—
602C2×C4—942no—
603C2×C4—942no—
604C2×C4—944no—
605C2×C4—942no—
606C2×C4—9432no—
607C2×C4—944no—
608C2×C4—944no—
609C2×C4—944no—
610C2×C4—18832no—
611C2×C4—18832no—
612C2×C4—1888no—
613C2×C4(C22⋊D47)⋊C4116yescomplemented
614C2×C4C22×C4×D4714yes—
615C2×C4C22×C4×D4714yes—
616C2×C4C2×D4×D4714yes—
617C2×C4C2×#1062535214yes—
618C22—232no—
619C22—24no—
620C22—24no—
621C22—24no—
622C22—24no—
623C22—24no—
624C22—24no—
625C22—478no—
626C22—9432no—
627C22—944no—
628C22—944no—
629C22—944no—
630C22—944no—
631C22—944no—
632C22—944no—
633C22C2×C4⋊C4×D4714yes—
634C22C2×C4⋊C4×D4718yescomplemented
635C22C2×(C22⋊D47)⋊C414yes—
636C22#1568960314yes—
637C22#1568975714yes—
638C22#1568977314yes—
639C22#1568978614yes—
640C22#1568983114yes—
641C22C23×C4×D4711yescharacteristic
642C22C22×D4×D4711yescharacteristic
643C22C22×D4×D4711yescharacteristic
644C22C22×Q8×D4711yescharacteristic
645C22C22×#1062535211yescharacteristic
646C22C2×#1309407011yescharacteristic
647C22C2×#1309407111yescharacteristic
648C4—24no—
649C4—44no—
650C4—44no—
651C4—478no—
652C4—944no—
653C4—948no—
654C4—944no—
655C4—1884no—
656C4C2×(C22⋊D47)⋊C418yescomplemented
657C2—28no—
658C2—948no—
659C2#2024628418yesdirect product factor
660C2C22×C4⋊C4×D4711yescharacteristic
661C2C22×(C22⋊D47)⋊C411yescharacteristic
662C2C2×#1568960311yescharacteristic
663C2C2×#1568975711yescharacteristic
664C2C2×#1568977311yescharacteristic
665C2C2×#1568978611yescharacteristic
666C2C2×#1568983111yescharacteristic
subgroupG/H
centerC24C23×D47
commutatorC22×C47C24×C4
FrattiniC23C24×D47
FittingC2×C47×#380C2
socleC24×C47C24
prime radicalC23×C22⋊D47C22
cosocleC23×C47C25
hypercenterC2×#380D47
hypocenterC47C2×D4×C4⋊C4
LCSG ▷ C22×C47 ▷ C47
UCSC1 ◁ C24 ◁ C2×#380

Complements

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

NH ≅ G/Ntype
3. C23×C4⋊Dic47C2semidirect
4. C22×C4⋊C4×D47C2semidirect
5. #20246284C2direct (N × H)
6. C2×#15689020C2semidirect
7. C2×#15688997C2semidirect
8. C2×#15688995C2semidirect
9. C2×#15688992C2semidirect
10. C2×#15688980C2semidirect
11. C2×C4⋊C4×Dic47C2semidirect
12. C2×C47×#380C2semidirect
17. C2×C4×C22⋊D47C4semidirect
25. C22×C4⋊Dic47C22semidirect
31. C2×C4⋊C4×D47C22semidirect
37. #15689020C22semidirect
38. #15688997C22semidirect
39. #15688995C22semidirect
40. #15688992C22semidirect
41. #15688980C22semidirect
42. C4⋊C4×Dic47C22semidirect
49. C47×#380C22semidirect
70. C22×C4×D47C2×C4semidirect
73. C4×C22⋊D47C2×C4semidirect
78. C2×C4⋊Dic47D4semidirect
85. C2×Dic47⋊C4C2×C4semidirect
91. C2×C22⋊Dic47C2×C4semidirect
94. C2×(C2×D47)⋊C4C2×C4semidirect
98. C2×C4×Dic47C2×C4semidirect
106. C23×C4×C47C2×C4semidirect
149. C22×C4×C47C22×C4semidirect
156. C2×C22⋊D47C4⋊C4semidirect
191. C2×C4×D47C22×C4semidirect
195. C22⋊Dic47C22×C4semidirect
197. (C2×D47)⋊C4C22×C4semidirect
200. C4⋊Dic47C2×D4semidirect
204. Dic47⋊C4C22×C4semidirect
206. C4×Dic47C22×C4semidirect
217. C23×C47C2×C4⋊C4semidirect
239. C22×D47C2×C4⋊C4semidirect
255. C2×C4×C47C4×D4semidirect
260. C22⋊D47C2×C4⋊C4semidirect
275. C2×Dic47C2×C4⋊C4semidirect
293. C22×C47C22×C4⋊C4semidirect
314. C2×D47C22×C4⋊C4semidirect
318. C4×C47C2×C4×D4semidirect
323. Dic47C22×C4⋊C4semidirect
334. C2×#380D47semidirect
337. C2×C47D4×C4⋊C4semidirect
379. #380C2×D47semidirect
384. C47C2×D4×C4⋊C4semidirect
410. C23×C4C4×D47semidirect
519. C22×C4C2×C4×D47semidirect
565. C23C4⋊C4×D47semidirect
613. C2×C4(C22⋊D47)⋊C4semidirect
634. C22C2×C4⋊C4×D47semidirect
656. C4C2×(C22⋊D47)⋊C4semidirect
659. C2#20246284direct (N × H)

Maximal subgroups

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

subgroupindex
C22×C4×C22⋊D472
C22×(C22⋊D47)⋊C42
C23×C4⋊Dic472
C22×C4⋊C4×D472
#202462842
C2×#156890202
C2×#156889972
C2×#156889952
C2×#156889922
C2×#156889802
C2×C4⋊C4×Dic472
C2×C47×#3802
C2×D4×C4⋊C447