Finite Group Databasebeta

← C22×#15689827 #27123248

Subgroups — C22×#15689827 #27123248

Order 12032.

8454 conjugacy classes of subgroups.

The subgroup lattice has 612 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#15689827C2148yesmaximal, direct product factor
2C22×#13094022C211yesmaximal, characteristic, complemented
3C22×#13094014C211yesmaximal, characteristic, complemented
4C22×#13094014C211yesmaximal, characteristic, complemented
5C22×#13094002C211yesmaximal, characteristic, complemented
6C22×#13094002C211yesmaximal, characteristic, complemented
7C22×#13094001C211yesmaximal, characteristic, complemented
8C22×#13094001C211yesmaximal, characteristic, complemented
9C22×#13094000C211yesmaximal, characteristic, complemented
10C22×#13093989C211yesmaximal, characteristic, complemented
11C22×C4×C22⋊D47C211yesmaximal, characteristic
12C22×(C22⋊D47)⋊C4C211yesmaximal, characteristic
13C22×(C22⋊D47)⋊C4C211yesmaximal, characteristic
14C23×Dic47⋊C4C211yesmaximal, characteristic, complemented
15C22×C4⋊C4×D47C211yesmaximal, characteristic, complemented
16C22×C22⋊Q8×C47C211yesmaximal, characteristic, complemented
17C23×Dic94C2211yescharacteristic
18C23×Dic94C2211yescharacteristic
19C23×C22⋊D47C2211yescharacteristic
20C24×Dic47C2211yescharacteristic
21C24×Dic47C2211yescharacteristic
22C23×C4×D47C2211yescharacteristic
23C23×C4×D47C2211yescharacteristic
24C23×C4×D47C2211yescharacteristic
25#15689827C221256yesdirect product factor
26C2×#13094022C22124yescomplemented
27C2×#13094014C22124yescomplemented
28C2×#13094014C22124yescomplemented
29C2×#13094002C22124yescomplemented
30C2×#13094002C22124yescomplemented
31C2×#13094001C22124yescomplemented
32C2×#13094001C22124yescomplemented
33C2×#13094000C22124yescomplemented
34C2×#13093989C22124yescomplemented
35C2×C4×C22⋊D47C22124yes—
36C2×(C22⋊D47)⋊C4C22124yes—
37C2×(C22⋊D47)⋊C4C22124yes—
38C22×C4⋊Dic47C2211yescharacteristic
39C22×C4⋊Dic47C2211yescharacteristic
40C22×Dic47⋊C4C2211yescharacteristic
41C22×Dic47⋊C4C2211yescharacteristic
42C22×Dic47⋊C4C2211yescharacteristic
43C22×Dic47⋊C4C2211yescharacteristic
44C22×Dic47⋊C4C2211yescharacteristic
45C22×Dic47⋊C4C2211yescharacteristic
46C22×Dic47⋊C4C2211yescharacteristic
47C22×Dic47⋊C4C2211yescharacteristic
48C22×Dic47⋊C4C2211yescharacteristic
49C22×Dic47⋊C4C2211yescharacteristic
50C22×Dic47⋊C4C2211yescharacteristic
51C22×Dic47⋊C4C22124yescomplemented
52C2×C4⋊C4×D47C22124yescomplemented
53C22×C22⋊Dic47C2211yescharacteristic
54C22×(C2×D47)⋊C4C2211yescharacteristic
55C22×(C2×D47)⋊C4C2211yescharacteristic
56C22×(C2×D47)⋊C4C2211yescharacteristic
57C22×C4×Dic47C2211yescharacteristic
58C22×C4×Dic47C2211yescharacteristic
59C22×C4×Dic47C2211yescharacteristic
60C23×Q8×C47C2211yescharacteristic
61C24×C4×C47C2211yescharacteristic
62C2×C22⋊Q8×C47C22124yescomplemented
63C22×C4⋊C4×C47C2211yescharacteristic
64C22×C4⋊C4×C47C2211yescharacteristic
65C22×C4⋊C4×C47C2211yescharacteristic
66C22×C22⋊C4×C47C2211yescharacteristic
67C22×C22⋊C4×C47C2211yescharacteristic
68C24×D47C2311yescharacteristic
69C22×Dic94—28no—
70C22×Dic94—44no—
71C22×Dic94C23112yes—
72C22×Dic94C23112yes—
73C22×C22⋊D47Q8116yescomplemented
74C22×C22⋊D47C23112yes—
75C23×Dic47—28no—
76C23×Dic47—44no—
77C23×Dic47C2311yescharacteristic
78C23×Dic47C2311yescharacteristic
79C23×Dic47C2311yescharacteristic
80C23×Dic47C2311yescharacteristic
81C23×Dic47C2311yescharacteristic
82C23×Dic47C23112yes—
83C23×Dic47C23112yes—
84C23×Dic47C2311yescharacteristic
85C23×Dic47C2311yescharacteristic
86C22×C4×D47—28no—
87C22×C4×D47—44no—
88C22×C4×D47—44no—
89C22×C4×D47C23112yes—
90C22×C4×D47C23112yes—
91C22×C4×D47C23112yes—
92#13094022C23164yescomplemented
93#13094014C23164yescomplemented
94#13094014C23164yescomplemented
95#13094002C23164yescomplemented
96#13094002C23164yescomplemented
97#13094001C23164yescomplemented
98#13094001C23164yescomplemented
99#13094000C23164yescomplemented
100#13093989C23164yescomplemented
101C4×C22⋊D47C23164yes—
102(C22⋊D47)⋊C4C23164yes—
103(C22⋊D47)⋊C4C23164yes—
104C2×C4⋊Dic47C23112yes—
105C2×C4⋊Dic47C23112yes—
106C2×Dic47⋊C4C23112yes—
107C2×Dic47⋊C4C23112yes—
108C2×Dic47⋊C4C23112yes—
109C2×Dic47⋊C4C23112yes—
110C2×Dic47⋊C4C23112yes—
111C2×Dic47⋊C4C23112yes—
112C2×Dic47⋊C4C23112yes—
113C2×Dic47⋊C4C23112yes—
114C2×Dic47⋊C4C23112yes—
115C2×Dic47⋊C4C23112yes—
116C2×Dic47⋊C4C23112yes—
117C2×Dic47⋊C4C23164yescomplemented
118C4⋊C4×D47C23164yescomplemented
119C2×C22⋊Dic47C23112yes—
120C2×(C2×D47)⋊C4C23112yes—
121C2×(C2×D47)⋊C4C23112yes—
122C2×(C2×D47)⋊C4C23112yes—
123C2×C4×Dic47C23112yes—
124C2×C4×Dic47C23112yes—
125C2×C4×Dic47C23112yes—
126C25×C47C2311yescharacteristic
127C22×Q8×C47—44no—
128C22×Q8×C47C23112yes—
129C23×C4×C47—44no—
130C23×C4×C47C2311yescharacteristic
131C23×C4×C47C2311yescharacteristic
132C23×C4×C47C2311yescharacteristic
133C23×C4×C47C2311yescharacteristic
134C23×C4×C47C2311yescharacteristic
135C23×C4×C47C2311yescharacteristic
136C23×C4×C47C23112yes—
137C22⋊Q8×C47C23164yescomplemented
138C2×C4⋊C4×C47C23112yes—
139C2×C4⋊C4×C47C23112yes—
140C2×C4⋊C4×C47C23112yes—
141C2×C22⋊C4×C47C23112yes—
142C2×C22⋊C4×C47C23112yes—
143C24×C47—24no—
144C24×C47—24no—
145C24×C47C2×Q818yes—
146C24×C47C2416yes—
147C24×C47C2411yescharacteristic
148C23×D47—24no—
149C23×D47—24no—
150C23×D47C2×Q818yes—
151C23×D47C2416yes—
152C2×Q8×C47—424no—
153C2×Q8×C47C24116yes—
154C22×C4×C47—24no—
155C22×C4×C47—24no—
156C22×C4×C47—24no—
157C22×C4×C47—24no—
158C22×C4×C47—24no—
159C22×C4×C47—24no—
160C22×C4×C47—424no—
161C22×C4×C47C2416yes—
162C22×C4×C47C2416yes—
163C22×C4×C47C2416yes—
164C22×C4×C47C2416yes—
165C22×C4×C47C2416yes—
166C22×C4×C47C2416yes—
167C22×C4×C47C24116yes—
168C2×C22⋊D47C2×Q8196yescomplemented
169C2×C22⋊D47C24116yes—
170C22×Dic47—24no—
171C22×Dic47—24no—
172C22×Dic47—24no—
173C22×Dic47—24no—
174C22×Dic47—24no—
175C22×Dic47—248no—
176C22×Dic47—424no—
177C22×Dic47C2×Q818yes—
178C22×Dic47#4118yes—
179C22×Dic47C2416yes—
180C22×Dic47C2416yes—
181C22×Dic47C2416yes—
182C22×Dic47C2416yes—
183C22×Dic47C2416yes—
184C22×Dic47C24116yes—
185C22×Dic47C24116yes—
186C22×Dic47C2416yes—
187C22×Dic47C2416yes—
188C2×C4×D47—248no—
189C2×C4×D47—424no—
190C2×C4×D47—424no—
191C2×C4×D47C24116yes—
192C2×C4×D47C24116yes—
193C2×C4×D47C24116yes—
194C2×Dic94—248no—
195C2×Dic94—424no—
196C2×Dic94C24116yes—
197C2×Dic94C24116yes—
198C4⋊C4×C47C24116yes—
199C4⋊C4×C47C24116yes—
200C4⋊C4×C47C24116yes—
201C22⋊C4×C47C24116yes—
202C22⋊C4×C47C24116yes—
203C22⋊Dic47C24116yes—
204(C2×D47)⋊C4C24116yes—
205(C2×D47)⋊C4C24116yes—
206(C2×D47)⋊C4C24116yes—
207C4⋊Dic47C24116yes—
208C4⋊Dic47C24116yes—
209Dic47⋊C4C24116yes—
210Dic47⋊C4C24116yes—
211Dic47⋊C4C24116yes—
212Dic47⋊C4C24116yes—
213Dic47⋊C4C24116yes—
214Dic47⋊C4C24116yes—
215Dic47⋊C4C24116yes—
216Dic47⋊C4C24116yes—
217Dic47⋊C4C24116yes—
218Dic47⋊C4C24116yes—
219Dic47⋊C4C24116yes—
220C4×Dic47C24116yes—
221C4×Dic47C24116yes—
222C4×Dic47C24116yes—
223C23×C47—232no—
224C23×C47—212no—
225C23×C47—212no—
226C23×C47C22×Q8124yes—
227C23×C47C22×Q814yes—
228C23×C47C2×#4114yes—
229C23×C47H(5,𝔽2)14yes—
230C23×C47C2514yes—
231C23×C47C2513yes—
232C22×D47—232no—
233C22×D47—212no—
234C22×D47—212no—
235C22×D47C22×Q8124yes—
236C22×D47C2514yes—
237Q8×C47—416no—
238C2×C4×C47—212no—
239C2×C4×C47—212no—
240C2×C4×C47—212no—
241C2×C4×C47—212no—
242C2×C4×C47—212no—
243C2×C4×C47—212no—
244C2×C4×C47—416no—
245C2×C4×C47C2514yes—
246C2×C4×C47C2514yes—
247C2×C4×C47C2514yes—
248C2×C4×C47C2514yes—
249C2×C4×C47C2514yes—
250C2×C4×C47C2514yes—
251C22⋊D47C22×Q8164yescomplemented
252C2×Dic47—212no—
253C2×Dic47—212no—
254C2×Dic47—212no—
255C2×Dic47—212no—
256C2×Dic47—212no—
257C2×Dic47—232no—
258C2×Dic47—416no—
259C2×Dic47C22×Q8124yes—
260C2×Dic47C2×#41124yes—
261C2×Dic47C2514yes—
262C2×Dic47C2514yes—
263C2×Dic47C2514yes—
264C2×Dic47C2514yes—
265C2×Dic47C2514yes—
266C2×Dic47C2514yes—
267C2×Dic47C2514yes—
268C4×D47—232no—
269C4×D47—416no—
270C4×D47—416no—
271Dic94—232no—
272Dic94—416no—
273C22×#554—471nomaximal, Sylow
274C22×C47—24no—
275C22×C47—24no—
276C22×C47—248no—
277C22×C47#554116yescomplemented
278C22×C47C23×Q818yes—
279C22×C47C23×Q816yes—
280C22×C47C22×#4116yes—
281C22×C47C2×H(5,𝔽2)16yes—
282C22×C47C2611yescharacteristic
283C2×D47—24no—
284C2×D47—24no—
285C2×D47—248no—
286C2×D47C23×Q818yes—
287C4×C47—24no—
288C4×C47—24no—
289C4×C47—24no—
290C4×C47—24no—
291C4×C47—24no—
292C4×C47—24no—
293Dic47—24no—
294Dic47—24no—
295Dic47—24no—
296Dic47—24no—
297Dic47—24no—
298Dic47C23×Q818yes—
299Dic47C22×#4118yes—
300C2×#554—4748no—
301C22×C4⋊Q8—471no—
302C22×#125—471no—
303C22×#125—471no—
304C22×C22⋊Q8—471no—
305C22×C22⋊Q8—471no—
306C22×C22⋊Q8—471no—
307C22×C22⋊Q8—471no—
308C22×C22⋊Q8—471no—
309C22×C22⋊Q8D4711yescharacteristic, complemented
310C22×C4×Q8—471no—
311C22×C4×D4—471no—
312C22×C4×D4—471no—
313C22×C4×D4—471no—
314C23×C4⋊C4—471no—
315C23×C4⋊C4—471no—
316C2×C47—28no—
317C2×C47C2×#554112yescomplemented
318C2×C47C24×Q811yescharacteristic
319C2×C47C23×#4111yescharacteristic
320C2×C47C22×H(5,𝔽2)11yescharacteristic
321D47—28no—
322C23×Q8—471no—
323C23×Q8—471no—
324C23×Q8C2×D4711yescharacteristic
325C23×D4—471no—
326C24×C4—471no—
327C24×C4—471no—
328C24×C4—471no—
329C24×C4—471no—
330C24×C4—471no—
331C24×C4C2×D4711yescharacteristic
332#554—47256no—
333C2×C4⋊Q8—4724no—
334C2×#125—4724no—
335C2×#125—4724no—
336C2×C22⋊Q8—4724no—
337C2×C22⋊Q8—4724no—
338C2×C22⋊Q8—4724no—
339C2×C22⋊Q8—4724no—
340C2×C22⋊Q8—4724no—
341C2×C22⋊Q8C2×D47124yescomplemented
342C2×C4×Q8—4724no—
343C2×C4×D4—4724no—
344C2×C4×D4—4724no—
345C2×C4×D4—4724no—
346C22×C4⋊C4—471no—
347C22×C4⋊C4—471no—
348C22×C4⋊C4—471no—
349C22×C4⋊C4—471no—
350C22×C4⋊C4—471no—
351C22×C4⋊C4—4724no—
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—4724no—
361C22×C4⋊C4C2×D4711yescharacteristic
362C22×C4⋊C4C2×D4711yescharacteristic
363C22×C4⋊C4C2×D4711yescharacteristic
364C22×C22⋊C4—471no—
365C22×C22⋊C4—471no—
366C22×C22⋊C4—471no—
367C22×C22⋊C4—471no—
368C22×C22⋊C4C2×D4711yescharacteristic
369C22×C22⋊C4C2×D4711yescharacteristic
370C22×C42—471no—
371C22×C42—471no—
372C22×C42—471no—
373C47C22×#55411yescharacteristic, complemented, Sylow
374C25—471no—
375C25C22×D4711yescharacteristic
376C22×Q8—44no—
377C22×Q8—4712no—
378C22×Q8—4712no—
379C22×Q8—948no—
380C22×Q8—1884no—
381C22×Q8C22×D47112yes—
382C22×D4—4716no—
383C22×D4—4712no—
384C23×C4—44no—
385C23×C4—471no—
386C23×C4—471no—
387C23×C4—4712no—
388C23×C4—471no—
389C23×C4—471no—
390C23×C4—471no—
391C23×C4—471no—
392C23×C4—471no—
393C23×C4—4712no—
394C23×C4—4712no—
395C23×C4—4712no—
396C23×C4—4712no—
397C23×C4—948no—
398C23×C4—948no—
399C23×C4—1884no—
400C23×C4—1884no—
401C23×C4—1884no—
402C23×C4C22×D4711yescharacteristic
403C23×C4C22×D4711yescharacteristic
404C23×C4C22×D4711yescharacteristic
405C23×C4C22×D4711yescharacteristic
406C23×C4C22×D4711yescharacteristic
407C23×C4C22×D4711yescharacteristic
408C23×C4C22×D47112yes—
409C4⋊Q8—4764no—
410#125—4764no—
411#125—4764no—
412C22⋊Q8—4764no—
413C22⋊Q8—4764no—
414C22⋊Q8—4764no—
415C22⋊Q8—4764no—
416C22⋊Q8—4764no—
417C22⋊Q8C22×D47164yescomplemented
418C4×Q8—4764no—
419C4×D4—4764no—
420C4×D4—4764no—
421C4×D4—4764no—
422C2×C4⋊C4—4712no—
423C2×C4⋊C4—4712no—
424C2×C4⋊C4—4712no—
425C2×C4⋊C4—4712no—
426C2×C4⋊C4—4712no—
427C2×C4⋊C4—4712no—
428C2×C4⋊C4—4764no—
429C2×C4⋊C4—4712no—
430C2×C4⋊C4—4712no—
431C2×C4⋊C4—4712no—
432C2×C4⋊C4—4712no—
433C2×C4⋊C4—4712no—
434C2×C4⋊C4—4712no—
435C2×C4⋊C4—4712no—
436C2×C4⋊C4—4764no—
437C2×C4⋊C4C22×D47112yes—
438C2×C4⋊C4C22×D47112yes—
439C2×C4⋊C4C22×D47112yes—
440C2×C22⋊C4—4712no—
441C2×C22⋊C4—4712no—
442C2×C22⋊C4—4712no—
443C2×C22⋊C4—4712no—
444C2×C22⋊C4C22×D47112yes—
445C2×C22⋊C4C22×D47112yes—
446C2×C42—4712no—
447C2×C42—4712no—
448C2×C42—4712no—
449C24—24no—
450C24—24no—
451C24—478no—
452C24—476no—
453C24—944no—
454C24—944no—
455C24Q8×D4718yes—
456C24C23×D4716yes—
457C24C23×D4711yescharacteristic
458C2×Q8—424no—
459C2×Q8—4716no—
460C2×Q8—4716no—
461C2×Q8—9448no—
462C2×Q8—18824no—
463C2×Q8C23×D47116yes—
464C2×D4—4796no—
465C2×D4—4716no—
466C22×C4—24no—
467C22×C4—24no—
468C22×C4—24no—
469C22×C4—24no—
470C22×C4—24no—
471C22×C4—24no—
472C22×C4—424no—
473C22×C4—478no—
474C22×C4—478no—
475C22×C4—476no—
476C22×C4—476no—
477C22×C4—476no—
478C22×C4—476no—
479C22×C4—476no—
480C22×C4—476no—
481C22×C4—476no—
482C22×C4—4716no—
483C22×C4—4716no—
484C22×C4—4716no—
485C22×C4—4716no—
486C22×C4—4716no—
487C22×C4—9448no—
488C22×C4—9448no—
489C22×C4—944no—
490C22×C4—944no—
491C22×C4—944no—
492C22×C4—944no—
493C22×C4—944no—
494C22×C4—18824no—
495C22×C4—18824no—
496C22×C4—18824no—
497C22×C4C23×D4716yes—
498C22×C4C23×D4716yes—
499C22×C4C23×D4716yes—
500C22×C4C23×D4716yes—
501C22×C4C23×D4716yes—
502C22×C4C23×D4716yes—
503C22×C4C23×D47116yes—
504C4⋊C4—4716no—
505C4⋊C4—4716no—
506C4⋊C4—4716no—
507C4⋊C4—4716no—
508C4⋊C4—4716no—
509C4⋊C4—4716no—
510C4⋊C4—4716no—
511C4⋊C4—4716no—
512C4⋊C4—4716no—
513C4⋊C4—4716no—
514C4⋊C4—4716no—
515C4⋊C4—4716no—
516C4⋊C4—4716no—
517C4⋊C4C23×D47116yes—
518C4⋊C4C23×D47116yes—
519C4⋊C4C23×D47116yes—
520C22⋊C4—4716no—
521C22⋊C4—4716no—
522C22⋊C4—4716no—
523C22⋊C4—4716no—
524C22⋊C4C23×D47116yes—
525C22⋊C4C23×D47116yes—
526C42—4716no—
527C42—4716no—
528C42—4716no—
529C23—232no—
530C23—212no—
531C23—212no—
532C23—4724no—
533C23—474no—
534C23—9432no—
535C23—9412no—
536C23—9412no—
537C23C2×Q8×D47124yes—
538C23C2×Q8×D4714yes—
539C23#41×D4714yes—
540C23#1309406914yes—
541C23C24×D4714yes—
542C23C24×D4713yes—
543Q8—416no—
544Q8—9432no—
545Q8—18816no—
546D4—4764no—
547C2×C4—212no—
548C2×C4—212no—
549C2×C4—212no—
550C2×C4—212no—
551C2×C4—212no—
552C2×C4—212no—
553C2×C4—416no—
554C2×C4—4724no—
555C2×C4—4724no—
556C2×C4—474no—
557C2×C4—474no—
558C2×C4—474no—
559C2×C4—474no—
560C2×C4—474no—
561C2×C4—474no—
562C2×C4—474no—
563C2×C4—9432no—
564C2×C4—9432no—
565C2×C4—9412no—
566C2×C4—9412no—
567C2×C4—9412no—
568C2×C4—9412no—
569C2×C4—9412no—
570C2×C4—18816no—
571C2×C4—18816no—
572C2×C4—18816no—
573C2×C4C24×D4714yes—
574C2×C4C24×D4714yes—
575C2×C4C24×D4714yes—
576C2×C4C24×D4714yes—
577C2×C4C24×D4714yes—
578C2×C4C24×D4714yes—
579C22—24no—
580C22—24no—
581C22—248no—
582C22—478no—
583C22—944no—
584C22—944no—
585C22—9448no—
586C22#15689827116yesdirect product factor
587C22C22×Q8×D4718yes—
588C22C22×Q8×D4716yes—
589C22C2×#41×D4716yes—
590C22C2×#1309406916yes—
591C22C25×D4711yescharacteristic
592C4—24no—
593C4—24no—
594C4—24no—
595C4—24no—
596C4—24no—
597C4—24no—
598C4—478no—
599C4—478no—
600C4—944no—
601C4—944no—
602C4—944no—
603C4—944no—
604C4—944no—
605C2—28no—
606C2—948no—
607C2C2×#15689827112yesdirect product factor
608C2C23×Q8×D4711yescharacteristic
609C2C22×#41×D4711yescharacteristic
610C2C22×#1309406911yescharacteristic
subgroupG/H
centerC24C23×D47
commutator, cosocleC22×C47C26
FrattiniC22C25×D47
FittingC22×C22⋊Q8×C47C2
socleC24×C47C24
prime radicalC23×C22⋊D47C22
hypercenterC22×C22⋊Q8D47
hypocenterC47C22×#554
LCSG ▷ C22×C47 ▷ C47
UCSC1 ◁ C24 ◁ C22×C22⋊Q8

Complements

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

NH ≅ G/Ntype
1. C2×#15689827C2direct (N × H)
2. C22×#13094022C2semidirect
3. C22×#13094014C2semidirect
4. C22×#13094014C2semidirect
5. C22×#13094002C2semidirect
6. C22×#13094002C2semidirect
7. C22×#13094001C2semidirect
8. C22×#13094001C2semidirect
9. C22×#13094000C2semidirect
10. C22×#13093989C2semidirect
14. C23×Dic47⋊C4C2semidirect
15. C22×C4⋊C4×D47C2semidirect
16. C22×C22⋊Q8×C47C2semidirect
25. #15689827C22direct (N × H)
26. C2×#13094022C22semidirect
27. C2×#13094014C22semidirect
28. C2×#13094014C22semidirect
29. C2×#13094002C22semidirect
30. C2×#13094002C22semidirect
31. C2×#13094001C22semidirect
32. C2×#13094001C22semidirect
33. C2×#13094000C22semidirect
34. C2×#13093989C22semidirect
51. C22×Dic47⋊C4C22semidirect
52. C2×C4⋊C4×D47C22semidirect
62. C2×C22⋊Q8×C47C22semidirect
73. C22×C22⋊D47Q8semidirect
92. #13094022C23semidirect
93. #13094014C23semidirect
94. #13094014C23semidirect
95. #13094002C23semidirect
96. #13094002C23semidirect
97. #13094001C23semidirect
98. #13094001C23semidirect
99. #13094000C23semidirect
100. #13093989C23semidirect
117. C2×Dic47⋊C4C23semidirect
118. C4⋊C4×D47C23semidirect
137. C22⋊Q8×C47C23semidirect
168. C2×C22⋊D47C2×Q8semidirect
251. C22⋊D47C22×Q8semidirect
277. C22×C47#554semidirect
309. C22×C22⋊Q8D47semidirect
317. C2×C47C2×#554semidirect
341. C2×C22⋊Q8C2×D47semidirect
373. C47C22×#554semidirect
417. C22⋊Q8C22×D47semidirect
586. C22#15689827direct (N × H)
607. C2C2×#15689827direct (N × H)

Maximal subgroups

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

subgroupindex
C2×#156898272
C22×#130940222
C22×#130940142
C22×#130940022
C22×#130940012
C22×#130940002
C22×#130939892
C22×C4×C22⋊D472
C22×(C22⋊D47)⋊C42
C23×Dic47⋊C42
C22×C4⋊C4×D472
C22×C22⋊Q8×C472
C22×#55447