Finite Group Databasebeta

← C22×#15689739 #27123064

Subgroups — C22×#15689739 #27123064

Order 12032.

7974 conjugacy classes of subgroups.

The subgroup lattice has 624 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#15689739C2148yesmaximal, direct product factor
2C22×#13094023C211yesmaximal, characteristic, complemented
3C22×#13094019C211yesmaximal, characteristic, complemented
4C22×#13094012C211yesmaximal, characteristic, complemented
5C22×#13094010C211yesmaximal, characteristic, complemented
6C22×#13094010C211yesmaximal, characteristic, complemented
7C22×#13094009C211yesmaximal, characteristic, complemented
8C22×#13094008C211yesmaximal, characteristic, complemented
9C22×#13094004C211yesmaximal, characteristic, complemented
10C22×#13094002C211yesmaximal, characteristic, complemented
11C22×#13094001C211yesmaximal, characteristic, complemented
12C22×#13093997C211yesmaximal, characteristic
13C22×C4×Dic94C211yesmaximal, characteristic, complemented
14C22×(C22⋊D47)⋊C4C211yesmaximal, characteristic, complemented
15C22×#13093982C211yesmaximal, characteristic, complemented
16C22×#126×C47C211yesmaximal, characteristic, complemented
17C23×Dic94C2211yescharacteristic
18C23×Dic94C2211yescharacteristic
19C23×Dic94C2211yescharacteristic
20C23×D188C2211yescharacteristic
21C23×C22⋊D47C2211yescharacteristic
22C23×C22⋊D47C2211yescharacteristic
23C24×Dic47C2211yescharacteristic
24C23×C4×D47C2211yescharacteristic
25C23×C4×D47C2211yescharacteristic
26#15689739C221256yesdirect product factor
27C2×#13094023C22124yescomplemented
28C2×#13094019C22124yescomplemented
29C2×#13094012C22124yescomplemented
30C2×#13094010C22124yescomplemented
31C2×#13094010C22124yescomplemented
32C2×#13094009C22124yescomplemented
33C2×#13094008C22124yescomplemented
34C2×#13094004C22124yescomplemented
35C2×#13094002C22124yescomplemented
36C2×#13094001C22124yescomplemented
37C2×#13093997C22124yes—
38C2×C4×Dic94C22124yescomplemented
39C2×(C22⋊D47)⋊C4C22124yescomplemented
40C2×#13093982C22124yescomplemented
41C22×C4⋊Dic47C2211yescharacteristic
42C22×C4⋊Dic47C2211yescharacteristic
43C22×C4⋊Dic47C2211yescharacteristic
44C22×Dic47⋊C4C2211yescharacteristic
45C22×Dic47⋊C4C2211yescharacteristic
46C22×Dic47⋊C4C2211yescharacteristic
47C22×Dic47⋊C4C2211yescharacteristic
48C22×C22⋊Dic47C2211yescharacteristic
49C22×(C2×D47)⋊C4C2211yescharacteristic
50C22×(C2×D47)⋊C4C2211yescharacteristic
51C22×(C2×D47)⋊C4C2211yescharacteristic
52C22×(C2×D47)⋊C4C2211yescharacteristic
53C22×(C2×D47)⋊C4C2211yescharacteristic
54C22×(C2×D47)⋊C4C2211yescharacteristic
55C22×(C2×D47)⋊C4C2211yescharacteristic
56C22×(C2×D47)⋊C4C2211yescharacteristic
57C22×C4×Dic47C2211yescharacteristic
58C22×C4×Dic47C2211yescharacteristic
59C22×C4×Dic47C2211yescharacteristic
60C2×#126×C47C22124yescomplemented
61C22×C4⋊C4×C47C2211yescharacteristic
62C22×C4⋊C4×C47C2211yescharacteristic
63C22×C4⋊C4×C47C2211yescharacteristic
64C22×C22⋊C4×C47C2211yescharacteristic
65C22×C22⋊C4×C47C2211yescharacteristic
66C22×C22⋊C4×C47C2211yescharacteristic
67C22×C42×C47C2211yescharacteristic
68C24×D47C2311yescharacteristic
69C24×D47C2311yescharacteristic
70C22×Dic94—28no—
71C22×Dic94—44no—
72C22×Dic94—44no—
73C22×Dic94C23112yes—
74C22×Dic94C23112yes—
75C22×Dic94C23112yes—
76C22×D188—44no—
77C22×D188C23112yes—
78C22×C22⋊D47—28no—
79C22×C22⋊D47—44no—
80C22×C22⋊D47C23112yes—
81C22×C22⋊D47C23112yes—
82C23×Dic47—44no—
83C23×Dic47C2311yescharacteristic
84C23×Dic47C2311yescharacteristic
85C23×Dic47C2311yescharacteristic
86C23×Dic47C2311yescharacteristic
87C23×Dic47C2311yescharacteristic
88C23×Dic47C23112yes—
89C23×Dic47C2311yescharacteristic
90C22×C4×D47—28no—
91C22×C4×D47—44no—
92C22×C4×D47C23112yes—
93C22×C4×D47C23112yes—
94#13094023C23164yescomplemented
95#13094019C23164yescomplemented
96#13094012C23164yescomplemented
97#13094010C23164yescomplemented
98#13094010C23164yescomplemented
99#13094009C23164yescomplemented
100#13094008C23164yescomplemented
101#13094004C23164yescomplemented
102#13094002C23164yescomplemented
103#13094001C23164yescomplemented
104#13093997C23164yes—
105C4×Dic94C23164yescomplemented
106(C22⋊D47)⋊C4C23164yescomplemented
107#13093982C23164yescomplemented
108C2×C4⋊Dic47C23112yes—
109C2×C4⋊Dic47C23112yes—
110C2×C4⋊Dic47C23112yes—
111C2×Dic47⋊C4C23112yes—
112C2×Dic47⋊C4C23112yes—
113C2×Dic47⋊C4C23112yes—
114C2×Dic47⋊C4C23112yes—
115C2×C22⋊Dic47C23112yes—
116C2×(C2×D47)⋊C4C23112yes—
117C2×(C2×D47)⋊C4C23112yes—
118C2×(C2×D47)⋊C4C23112yes—
119C2×(C2×D47)⋊C4C23112yes—
120C2×(C2×D47)⋊C4C23112yes—
121C2×(C2×D47)⋊C4C23112yes—
122C2×(C2×D47)⋊C4C23112yes—
123C2×(C2×D47)⋊C4C23112yes—
124C2×C4×Dic47C23112yes—
125C2×C4×Dic47C23112yes—
126C2×C4×Dic47C23112yes—
127C25×C47C2311yescharacteristic
128C23×C4×C47C2311yescharacteristic
129C23×C4×C47C2311yescharacteristic
130C23×C4×C47C2311yescharacteristic
131C23×C4×C47C2311yescharacteristic
132C23×C4×C47C2311yescharacteristic
133C23×C4×C47C2311yescharacteristic
134#126×C47C23164yescomplemented
135C2×C4⋊C4×C47C23112yes—
136C2×C4⋊C4×C47C23112yes—
137C2×C4⋊C4×C47C23112yes—
138C2×C22⋊C4×C47C23112yes—
139C2×C22⋊C4×C47C23112yes—
140C2×C22⋊C4×C47C23112yes—
141C2×C42×C47C23112yes—
142C24×C47—24no—
143C24×C47—24no—
144C24×C47—24no—
145C24×C47C2416yes—
146C24×C47C2411yescharacteristic
147C23×D47—24no—
148C23×D47—24no—
149C23×D47—24no—
150C23×D47—24no—
151C23×D47—24no—
152C23×D47—24no—
153C23×D47C2416yes—
154C23×D47C2416yes—
155C22×C4×C47—24no—
156C22×C4×C47—24no—
157C22×C4×C47—24no—
158C22×C4×C47—24no—
159C22×C4×C47—24no—
160C22×C4×C47—24no—
161C22×C4×C47C2416yes—
162C22×C4×C47C2416yes—
163C22×C4×C47C2416yes—
164C22×C4×C47C2416yes—
165C22×C4×C47C2416yes—
166C22×C4×C47C2416yes—
167C2×C22⋊D47—248no—
168C2×C22⋊D47—424no—
169C2×C22⋊D47C24116yes—
170C2×C22⋊D47C24116yes—
171C22×Dic47—24no—
172C22×Dic47—24no—
173C22×Dic47—24no—
174C22×Dic47—24no—
175C22×Dic47—24no—
176C22×Dic47—424no—
177C22×Dic47#4118yes—
178C22×Dic47C2416yes—
179C22×Dic47C2416yes—
180C22×Dic47C2416yes—
181C22×Dic47C2416yes—
182C22×Dic47C2416yes—
183C22×Dic47C24116yes—
184C22×Dic47C2416yes—
185C2×D188—424no—
186C2×D188C24116yes—
187C2×C4×D47—248no—
188C2×C4×D47—424no—
189C2×C4×D47C24116yes—
190C2×C4×D47C24116yes—
191C2×Dic94—248no—
192C2×Dic94—424no—
193C2×Dic94—424no—
194C2×Dic94C24116yes—
195C2×Dic94C24116yes—
196C2×Dic94C24116yes—
197C4⋊C4×C47C24116yes—
198C4⋊C4×C47C24116yes—
199C4⋊C4×C47C24116yes—
200C22⋊C4×C47C24116yes—
201C22⋊C4×C47C24116yes—
202C22⋊C4×C47C24116yes—
203C42×C47C24116yes—
204C22⋊Dic47C24116yes—
205(C2×D47)⋊C4C24116yes—
206(C2×D47)⋊C4C24116yes—
207(C2×D47)⋊C4C24116yes—
208(C2×D47)⋊C4C24116yes—
209(C2×D47)⋊C4C24116yes—
210(C2×D47)⋊C4C24116yes—
211(C2×D47)⋊C4C24116yes—
212(C2×D47)⋊C4C24116yes—
213C4⋊Dic47C24116yes—
214C4⋊Dic47C24116yes—
215C4⋊Dic47C24116yes—
216Dic47⋊C4C24116yes—
217Dic47⋊C4C24116yes—
218Dic47⋊C4C24116yes—
219Dic47⋊C4C24116yes—
220C4×Dic47C24116yes—
221C4×Dic47C24116yes—
222C4×Dic47C24116yes—
223C23×C47—212no—
224C23×C47—212no—
225C23×C47—212no—
226C23×C47—416no—
227C23×C47C2×#4114yes—
228C23×C47H(5,𝔽2)14yes—
229C23×C472−1+414yes—
230C23×C47C2514yes—
231C23×C47C2513yes—
232C22×D47—212no—
233C22×D47—212no—
234C22×D47—212no—
235C22×D47—212no—
236C22×D47—212no—
237C22×D47—212no—
238C22×D47—416no—
239C22×D47—416no—
240C22×D47C2514yes—
241C22×D47C2514yes—
242C2×C4×C47—212no—
243C2×C4×C47—212no—
244C2×C4×C47—212no—
245C2×C4×C47—212no—
246C2×C4×C47—212no—
247C2×C4×C47—212no—
248C2×C4×C47C2514yes—
249C2×C4×C47C2514yes—
250C2×C4×C47C2514yes—
251C2×C4×C47C2514yes—
252C2×C4×C47C2514yes—
253C2×C4×C47C2514yes—
254C22⋊D47—232no—
255C22⋊D47—416no—
256C2×Dic47—212no—
257C2×Dic47—212no—
258C2×Dic47—212no—
259C2×Dic47—212no—
260C2×Dic47—212no—
261C2×Dic47—416no—
262C2×Dic47C2×#41124yes—
263C2×Dic47C2514yes—
264C2×Dic47C2514yes—
265C2×Dic47C2514yes—
266C2×Dic47C2514yes—
267C2×Dic47C2514yes—
268C2×Dic47C2514yes—
269D188—416no—
270C4×D47—232no—
271C4×D47—416no—
272Dic94—232no—
273Dic94—416no—
274Dic94—416no—
275C22×#542—471nomaximal, Sylow
276C22×C47—24no—
277C22×C47—24no—
278C22×C47—24no—
279C22×C47—424no—
280C22×C47#542116yescomplemented
281C22×C47C22×#4116yes—
282C22×C47C2×H(5,𝔽2)16yes—
283C22×C47C2×2−1+416yes—
284C22×C47C2611yescharacteristic
285C2×D47—24no—
286C2×D47—24no—
287C2×D47—24no—
288C2×D47—24no—
289C2×D47—24no—
290C2×D47—24no—
291C2×D47—424no—
292C2×D47—424no—
293C4×C47—24no—
294C4×C47—24no—
295C4×C47—24no—
296C4×C47—24no—
297C4×C47—24no—
298C4×C47—24no—
299Dic47—24no—
300Dic47—24no—
301Dic47—24no—
302Dic47—24no—
303Dic47—24no—
304Dic47C22×#4118yes—
305C2×#542—4748no—
306C22×C4⋊Q8—471no—
307C22×#126—471no—
308C22×#126D4711yescharacteristic, complemented
309C22×#124—471no—
310C22×#124—471no—
311C22×#124—471no—
312C22×#123—471no—
313C22×#123—471no—
314C22×C22⋊Q8—471no—
315C22×C22⋊Q8—471no—
316C22×C22⋊Q8—471no—
317C22×#121—471no—
318C22×C4×Q8—471no—
319C22×C4×D4—471no—
320C22×#117—471no—
321C2×C47—44no—
322C2×C47C2×#542112yescomplemented
323C2×C47C23×#4111yescharacteristic
324C2×C47C22×H(5,𝔽2)11yescharacteristic
325C2×C47C22×2−1+411yescharacteristic
326D47—44no—
327D47—44no—
328C23×Q8—471no—
329C23×Q8—471no—
330C23×Q8—471no—
331C23×D4—471no—
332C23×D4—471no—
333C23×D4—471no—
334C24×C4—471no—
335C24×C4—471no—
336C24×C4—471no—
337#542—47256no—
338C2×C4⋊Q8—4724no—
339C2×#126—4724no—
340C2×#126C2×D47124yescomplemented
341C2×#124—4724no—
342C2×#124—4724no—
343C2×#124—4724no—
344C2×#123—4724no—
345C2×#123—4724no—
346C2×C22⋊Q8—4724no—
347C2×C22⋊Q8—4724no—
348C2×C22⋊Q8—4724no—
349C2×#121—4724no—
350C2×C4×Q8—4724no—
351C2×C4×D4—4724no—
352C2×#117—4724no—
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⋊C4C2×D4711yescharacteristic
361C22×C4⋊C4C2×D4711yescharacteristic
362C22×C4⋊C4C2×D4711yescharacteristic
363C22×C22⋊C4—471no—
364C22×C22⋊C4—471no—
365C22×C22⋊C4—471no—
366C22×C22⋊C4—471no—
367C22×C22⋊C4—471no—
368C22×C22⋊C4—471no—
369C22×C22⋊C4—471no—
370C22×C22⋊C4—471no—
371C22×C22⋊C4—471no—
372C22×C22⋊C4C2×D4711yescharacteristic
373C22×C22⋊C4C2×D4711yescharacteristic
374C22×C22⋊C4C2×D4711yescharacteristic
375C22×C42—471no—
376C22×C42—471no—
377C22×C42—471no—
378C22×C42C2×D4711yescharacteristic
379C47C22×#54211yescharacteristic, complemented, Sylow
380C25—471no—
381C25—471no—
382C25C22×D4711yescharacteristic
383C22×Q8—4712no—
384C22×Q8—4712no—
385C22×Q8—4712no—
386C22×Q8—948no—
387C22×Q8—1884no—
388C22×Q8—1884no—
389C22×D4—4712no—
390C22×D4—4712no—
391C22×D4—4712no—
392C22×D4—948no—
393C22×D4—1884no—
394C22×D4—1884no—
395C23×C4—471no—
396C23×C4—471no—
397C23×C4—471no—
398C23×C4—471no—
399C23×C4—471no—
400C23×C4—471no—
401C23×C4—4712no—
402C23×C4—4712no—
403C23×C4—4712no—
404C23×C4—948no—
405C23×C4—1884no—
406C23×C4—1884no—
407C23×C4C22×D4711yescharacteristic
408C23×C4C22×D4711yescharacteristic
409C23×C4C22×D4711yescharacteristic
410C23×C4C22×D4711yescharacteristic
411C23×C4C22×D4711yescharacteristic
412C23×C4C22×D4711yescharacteristic
413C4⋊Q8—4764no—
414#126—4764no—
415#126C22×D47164yescomplemented
416#124—4764no—
417#124—4764no—
418#124—4764no—
419#123—4764no—
420#123—4764no—
421C22⋊Q8—4764no—
422C22⋊Q8—4764no—
423C22⋊Q8—4764no—
424#121—4764no—
425C4×Q8—4764no—
426C4×D4—4764no—
427#117—4764no—
428C2×C4⋊C4—4712no—
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⋊C4C22×D47112yes—
436C2×C4⋊C4C22×D47112yes—
437C2×C4⋊C4C22×D47112yes—
438C2×C22⋊C4—4712no—
439C2×C22⋊C4—4712no—
440C2×C22⋊C4—4712no—
441C2×C22⋊C4—4712no—
442C2×C22⋊C4—4712no—
443C2×C22⋊C4—4712no—
444C2×C22⋊C4—4712no—
445C2×C22⋊C4—4712no—
446C2×C22⋊C4—4712no—
447C2×C22⋊C4C22×D47112yes—
448C2×C22⋊C4C22×D47112yes—
449C2×C22⋊C4C22×D47112yes—
450C2×C42—4712no—
451C2×C42—4712no—
452C2×C42—4712no—
453C2×C42C22×D47112yes—
454C24—24no—
455C24—24no—
456C24—24no—
457C24—476no—
458C24—476no—
459C24—944no—
460C24—944no—
461C24—944no—
462C24—944no—
463C24—944no—
464C24—944no—
465C24C23×D4716yes—
466C24C23×D4711yescharacteristic
467C2×Q8—4716no—
468C2×Q8—4716no—
469C2×Q8—4716no—
470C2×Q8—9448no—
471C2×Q8—18824no—
472C2×Q8—18824no—
473C2×D4—4716no—
474C2×D4—4716no—
475C2×D4—4716no—
476C2×D4—9448no—
477C2×D4—18824no—
478C2×D4—18824no—
479C22×C4—24no—
480C22×C4—24no—
481C22×C4—24no—
482C22×C4—24no—
483C22×C4—24no—
484C22×C4—24no—
485C22×C4—478no—
486C22×C4—476no—
487C22×C4—476no—
488C22×C4—476no—
489C22×C4—476no—
490C22×C4—476no—
491C22×C4—476no—
492C22×C4—4716no—
493C22×C4—4716no—
494C22×C4—4716no—
495C22×C4—9448no—
496C22×C4—944no—
497C22×C4—944no—
498C22×C4—944no—
499C22×C4—944no—
500C22×C4—944no—
501C22×C4—18824no—
502C22×C4—18824no—
503C22×C4C23×D4716yes—
504C22×C4C23×D4716yes—
505C22×C4C23×D4716yes—
506C22×C4C23×D4716yes—
507C22×C4C23×D4716yes—
508C22×C4C23×D4716yes—
509C4⋊C4—4716no—
510C4⋊C4—4716no—
511C4⋊C4—4716no—
512C4⋊C4—4716no—
513C4⋊C4—4716no—
514C4⋊C4—4716no—
515C4⋊C4—4716no—
516C4⋊C4C23×D47116yes—
517C4⋊C4C23×D47116yes—
518C4⋊C4C23×D47116yes—
519C22⋊C4—4716no—
520C22⋊C4—4716no—
521C22⋊C4—4716no—
522C22⋊C4—4716no—
523C22⋊C4—4716no—
524C22⋊C4—4716no—
525C22⋊C4—4716no—
526C22⋊C4—4716no—
527C22⋊C4—4716no—
528C22⋊C4C23×D47116yes—
529C22⋊C4C23×D47116yes—
530C22⋊C4C23×D47116yes—
531C42—4716no—
532C42—4716no—
533C42—4716no—
534C42C23×D47116yes—
535C23—212no—
536C23—212no—
537C23—212no—
538C23—416no—
539C23—474no—
540C23—474no—
541C23—9412no—
542C23—9412no—
543C23—9412no—
544C23—9412no—
545C23—9412no—
546C23—9412no—
547C23—18816no—
548C23—18816no—
549C23#41×D4714yes—
550C23#1309407014yes—
551C23#1309407114yes—
552C23C24×D4714yes—
553C23C24×D4713yes—
554Q8—9432no—
555Q8—18816no—
556Q8—18816no—
557D4—9432no—
558D4—18816no—
559D4—18816no—
560C2×C4—212no—
561C2×C4—212no—
562C2×C4—212no—
563C2×C4—212no—
564C2×C4—212no—
565C2×C4—212no—
566C2×C4—4724no—
567C2×C4—474no—
568C2×C4—474no—
569C2×C4—474no—
570C2×C4—474no—
571C2×C4—474no—
572C2×C4—474no—
573C2×C4—9432no—
574C2×C4—9412no—
575C2×C4—9412no—
576C2×C4—9412no—
577C2×C4—9412no—
578C2×C4—9412no—
579C2×C4—18816no—
580C2×C4—18816no—
581C2×C4C24×D4714yes—
582C2×C4C24×D4714yes—
583C2×C4C24×D4714yes—
584C2×C4C24×D4714yes—
585C2×C4C24×D4714yes—
586C2×C4C24×D4714yes—
587C22—24no—
588C22—24no—
589C22—24no—
590C22—424no—
591C22—944no—
592C22—944no—
593C22—944no—
594C22—944no—
595C22—944no—
596C22—944no—
597C22—18824no—
598C22—18824no—
599C22#15689739116yesdirect product factor
600C22C2×#41×D4716yes—
601C22C2×#1309407016yes—
602C22C2×#1309407116yes—
603C22C25×D4711yescharacteristic
604C4—24no—
605C4—24no—
606C4—24no—
607C4—24no—
608C4—24no—
609C4—24no—
610C4—478no—
611C4—944no—
612C4—944no—
613C4—944no—
614C4—944no—
615C4—944no—
616C2—44no—
617C2—1884no—
618C2—1884no—
619C2C2×#15689739112yesdirect product factor
620C2C22×#41×D4711yescharacteristic
621C2C22×#1309407011yescharacteristic
622C2C22×#1309407111yescharacteristic
subgroupG/H
centerC24C23×D47
commutator, cosocleC22×C47C26
FrattiniC22C25×D47
FittingC22×#126×C47C2
socleC24×C47C24
prime radicalC22×#13093997C2
hypercenterC22×#126D47
hypocenterC47C22×#542
LCSG ▷ C22×C47 ▷ C47
UCSC1 ◁ C24 ◁ C22×#126

Complements

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

NH ≅ G/Ntype
1. C2×#15689739C2direct (N × H)
2. C22×#13094023C2semidirect
3. C22×#13094019C2semidirect
4. C22×#13094012C2semidirect
5. C22×#13094010C2semidirect
6. C22×#13094010C2semidirect
7. C22×#13094009C2semidirect
8. C22×#13094008C2semidirect
9. C22×#13094004C2semidirect
10. C22×#13094002C2semidirect
11. C22×#13094001C2semidirect
13. C22×C4×Dic94C2semidirect
14. C22×(C22⋊D47)⋊C4C2semidirect
15. C22×#13093982C2semidirect
16. C22×#126×C47C2semidirect
26. #15689739C22direct (N × H)
27. C2×#13094023C22semidirect
28. C2×#13094019C22semidirect
29. C2×#13094012C22semidirect
30. C2×#13094010C22semidirect
31. C2×#13094010C22semidirect
32. C2×#13094009C22semidirect
33. C2×#13094008C22semidirect
34. C2×#13094004C22semidirect
35. C2×#13094002C22semidirect
36. C2×#13094001C22semidirect
38. C2×C4×Dic94C22semidirect
39. C2×(C22⋊D47)⋊C4C22semidirect
40. C2×#13093982C22semidirect
60. C2×#126×C47C22semidirect
94. #13094023C23semidirect
95. #13094019C23semidirect
96. #13094012C23semidirect
97. #13094010C23semidirect
98. #13094010C23semidirect
99. #13094009C23semidirect
100. #13094008C23semidirect
101. #13094004C23semidirect
102. #13094002C23semidirect
103. #13094001C23semidirect
105. C4×Dic94C23semidirect
106. (C22⋊D47)⋊C4C23semidirect
107. #13093982C23semidirect
134. #126×C47C23semidirect
280. C22×C47#542semidirect
308. C22×#126D47semidirect
322. C2×C47C2×#542semidirect
340. C2×#126C2×D47semidirect
379. C47C22×#542semidirect
415. #126C22×D47semidirect
599. C22#15689739direct (N × H)
619. C2C2×#15689739direct (N × H)

Maximal subgroups

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

subgroupindex
C2×#156897392
C22×#130940232
C22×#130940192
C22×#130940122
C22×#130940102
C22×#130940092
C22×#130940082
C22×#130940042
C22×#130940022
C22×#130940012
C22×#130939972
C22×C4×Dic942
C22×(C22⋊D47)⋊C42
C22×#130939822
C22×#126×C472
C22×#54247