Finite Group Databasebeta

← C2×#20257540 #27123398

Subgroups — C2×#20257540 #27123398

Order 12032.

9542 conjugacy classes of subgroups.

The subgroup lattice has 1336 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#20257540C2132yesmaximal, direct product factor
2C2×#15689866C211yesmaximal, characteristic, complemented
3C2×#15689863C211yesmaximal, characteristic, complemented
4C2×#15689861C212yesmaximal, complemented
5C2×#15689801C211yesmaximal, characteristic, complemented
6C2×#15689796C212yesmaximal, complemented
7C2×#15689770C212yesmaximal, complemented
8C2×#15689765C212yesmaximal, complemented
9C2×#15689763C212yesmaximal, complemented
10C2×D4×C22⋊D47C212yesmaximal, complemented
11C2×#15689755C211yesmaximal, characteristic, complemented
12C2×#15689709C212yesmaximal, complemented
13C2×#15689708C212yesmaximal, complemented
14C2×#15689705C212yesmaximal, complemented
15C2×#15689690C211yesmaximal, characteristic, complemented
16C2×#15689689C212yesmaximal, complemented
17C2×#15689683C212yesmaximal, complemented
18C22×#13093992C211yesmaximal, characteristic, complemented
19C2×#120×D47C212yesmaximal, complemented
20C2×C47×#534C211yesmaximal, characteristic, complemented
21C25×D47C2211yescharacteristic, complemented
22C22×#10625350C2211yescharacteristic, complemented
23C22×#10625350C2212yescomplemented
24C23×C22⋊D47C2212yescomplemented
25C23×C22⋊D47C2212yescomplemented
26C22×D4×D47C2212yescomplemented
27C22×D4×D47C2212yescomplemented
28C22×D4×D47C2212yescomplemented
29#15689866C22116yescomplemented
30#15689863C22116yescomplemented
31#15689861C22132yescomplemented
32#15689801C22116yescomplemented
33#15689796C22132yescomplemented
34#15689770C22132yescomplemented
35#15689765C22132yescomplemented
36#15689763C22132yescomplemented
37D4×C22⋊D47C22132yescomplemented
38#15689755C22116yescomplemented
39#15689709C22132yescomplemented
40#15689708C22132yescomplemented
41#15689705C22132yescomplemented
42#15689690C22116yescomplemented
43#15689689C22132yescomplemented
44#15689683C22132yescomplemented
45C2×#13094020C2211yescharacteristic, complemented
46C2×#13094020C2211yescharacteristic, complemented
47C2×#13094020C2212yescomplemented
48C2×#13094019C2212yescomplemented
49C2×#13094019C2212yescomplemented
50C2×#13094017C2212yescomplemented
51C2×#13094017C2212yescomplemented
52C2×#13094011C2212yescomplemented
53C2×#13094011C2211yescharacteristic, complemented
54C2×#13094011C2211yescharacteristic, complemented
55C2×#13094010C2212yescomplemented
56C2×#13094010C2212yescomplemented
57C2×#13094010C2212yescomplemented
58C2×#13094010C2212yescomplemented
59C2×#13094009C2212yescomplemented
60C2×#13094008C2212yescomplemented
61C2×#13094007C2212yescomplemented
62C2×#13094006C2212yescomplemented
63C2×#13094006C2212yescomplemented
64C2×#13094006C2212yescomplemented
65C2×#13094005C2212yescomplemented
66C2×#13094004C2212yescomplemented
67C2×#13094002C2212yescomplemented
68C2×#13094001C2212yescomplemented
69C2×#13093999C2212yescomplemented
70C2×#13093998C2212yescomplemented
71C2×#13093998C2212yescomplemented
72C2×#13093997C2212yescomplemented
73C2×#13093997C2212yescomplemented
74C2×#13093997C2212yescomplemented
75C2×#13093996C2212yescomplemented
76C2×#13093996C2212yescomplemented
77C2×#13093996C2212yescomplemented
78C2×#13093995C2212yescomplemented
79C2×#13093995C2212yescomplemented
80C2×#13093995C2212yescomplemented
81C2×#13093995C2212yescomplemented
82C2×#13093994C2212yescomplemented
83C2×#13093994C2212yescomplemented
84C2×#13093994C2212yescomplemented
85C2×#13093994C2212yescomplemented
86C2×#13093993C2212yescomplemented
87C2×#13093993C2212yescomplemented
88C2×#13093993C2212yescomplemented
89C2×#13093992C2211yescharacteristic
90C2×#13093992C2212yes—
91C2×#13093992C2211yescharacteristic, complemented
92C2×#13093992C2212yescomplemented
93C2×#13093992C2212yescomplemented
94C2×#13093992C2212yescomplemented
95C2×#13093992C2212yescomplemented
96C2×#13093992C2211yescharacteristic, complemented
97C2×#13093992C2211yescharacteristic, complemented
98C2×#13093992C2212yescomplemented
99C2×#13093992C22116yescomplemented
100#120×D47C22132yescomplemented
101C2×D4×Dic47C2212yescomplemented
102C2×#13093986C2212yescomplemented
103C2×C4×C22⋊D47C2212yescomplemented
104C2×C4×C22⋊D47C2212yescomplemented
105C2×(C22⋊D47)⋊C4C2212yescomplemented
106C2×(C22⋊D47)⋊C4C2212yescomplemented
107C2×#13093983C2211yescharacteristic, complemented
108C2×#13093982C2212yescomplemented
109C22×C22⋊Dic47C2211yescharacteristic, complemented
110C22×(C2×D47)⋊C4C2212yescomplemented
111C2×C22⋊C4×D47C2212yescomplemented
112C2×C22⋊C4×D47C2212yescomplemented
113C2×C22⋊C4×D47C2212yescomplemented
114C2×C22⋊C4×D47C2212yescomplemented
115C23×D4×C47C2211yescharacteristic, complemented
116C23×D4×C47C2211yescharacteristic, complemented
117C47×#534C22116yescomplemented
118C2×#123×C47C2211yescharacteristic, complemented
119C2×#123×C47C2211yescharacteristic, complemented
120C2×#123×C47C2212yescomplemented
121C2×#121×C47C2212yescomplemented
122C2×#121×C47C2212yescomplemented
123C2×#120×C47C2212yescomplemented
124C2×#120×C47C2211yescharacteristic, complemented
125C2×#120×C47C2211yescharacteristic, complemented
126C22×C22⋊C4×C47C2211yescharacteristic, complemented
127C24×D47—48no—
128C24×D47—44no—
129C24×D47C2311yescharacteristic
130C24×D47C2312yes—
131C24×D47C2312yes—
132C24×D47C2312yes—
133C24×D47C2311yescharacteristic
134C24×D47C2318yescomplemented
135C2×#10625350—48no—
136C2×#10625350—44no—
137C2×#10625350C23116yescomplemented
138C2×#10625350C2318yescomplemented
139C22×Dic94C2312yescomplemented
140C22×Dic94C2311yescharacteristic, complemented
141C22×D188C2312yes—
142C22×D188C2312yes—
143C22×D188C2312yes—
144C22×D188C2311yescharacteristic, complemented
145C22×C22⋊D47—48no—
146C22×C22⋊D47—48no—
147C22×C22⋊D47C2312yes—
148C22×C22⋊D47C2312yes—
149C22×C22⋊D47C2312yes—
150C22×C22⋊D47C2312yes—
151C22×C22⋊D47C2312yes—
152C22×C22⋊D47C2312yes—
153C22×C22⋊D47C2312yes—
154C22×C22⋊D47C2312yes—
155C22×C22⋊D47C2312yes—
156C22×C22⋊D47C2312yes—
157C22×C22⋊D47C23116yescomplemented
158C22×C22⋊D47C2312yescomplemented
159C22×C22⋊D47C2312yescomplemented
160C22×C22⋊D47C2312yescomplemented
161C22×C22⋊D47C23116yescomplemented
162C2×D4×D47—48no—
163C2×D4×D47—48no—
164C2×D4×D47—48no—
165C2×D4×D47C23116yescomplemented
166C2×D4×D47C23116yescomplemented
167C2×D4×D47C23116yescomplemented
168C23×Dic47C2312yes—
169C23×Dic47C2312yescomplemented
170C22×C4×D47C2312yes—
171C22×C4×D47C2312yes—
172C22×C4×D47C2312yes—
173C22×C4×D47C2312yescomplemented
174C22×C4×D47C2312yescomplemented
175#13094020C23116yescomplemented
176#13094020C2318yescomplemented
177#13094020C2318yescomplemented
178#13094019C23116yescomplemented
179#13094019C23116yescomplemented
180#13094017C23116yescomplemented
181#13094017C23116yescomplemented
182#13094011C23116yescomplemented
183#13094011C2318yescomplemented
184#13094011C2318yescomplemented
185#13094010C23116yescomplemented
186#13094010C23116yescomplemented
187#13094010C23116yescomplemented
188#13094010C23116yescomplemented
189#13094009C23116yescomplemented
190#13094008C23116yescomplemented
191#13094007C23116yescomplemented
192#13094006C23116yescomplemented
193#13094006C23116yescomplemented
194#13094006C23116yescomplemented
195#13094005C23116yescomplemented
196#13094004C23116yescomplemented
197#13094002C23116yescomplemented
198#13094001C23116yescomplemented
199#13093999C23116yescomplemented
200#13093998C23116yescomplemented
201#13093998C23116yescomplemented
202#13093997C23116yescomplemented
203#13093997C23116yescomplemented
204#13093997C23116yescomplemented
205#13093996C23116yescomplemented
206#13093996C23116yescomplemented
207#13093996C23116yescomplemented
208#13093995C23116yescomplemented
209#13093995C23116yescomplemented
210#13093995C23116yescomplemented
211#13093995C23116yescomplemented
212#13093994C23116yescomplemented
213#13093994C23116yescomplemented
214#13093994C23116yescomplemented
215#13093994C23116yescomplemented
216#13093993C23116yescomplemented
217#13093993C23116yescomplemented
218#13093993C23116yescomplemented
219#13093992C2318yes—
220#13093992C23116yes—
221#13093992C2318yescomplemented
222#13093992C2318yescomplemented
223#13093992C23116yescomplemented
224#13093992C23116yescomplemented
225#13093992C2318yescomplemented
226#13093992C23116yescomplemented
227#13093992C23116yescomplemented
228#13093992C23116yescomplemented
229D4×Dic47C23116yescomplemented
230#13093986C23116yescomplemented
231C4×C22⋊D47C23116yescomplemented
232C4×C22⋊D47C23116yescomplemented
233(C22⋊D47)⋊C4C23116yescomplemented
234(C22⋊D47)⋊C4C23116yescomplemented
235#13093983C2318yescomplemented
236#13093982C23116yescomplemented
237C2×C4⋊Dic47C2312yescomplemented
238C2×C4⋊Dic47C2312yescomplemented
239C2×C4⋊Dic47C2312yescomplemented
240C2×Dic47⋊C4C2312yescomplemented
241C2×Dic47⋊C4C2312yescomplemented
242C2×Dic47⋊C4C2312yescomplemented
243C2×Dic47⋊C4C2312yescomplemented
244C2×C22⋊Dic47C2312yes—
245C2×C22⋊Dic47C2312yes—
246C2×C22⋊Dic47C2312yes—
247C2×C22⋊Dic47C2311yescharacteristic
248C2×C22⋊Dic47C2312yes—
249C2×C22⋊Dic47C2311yescharacteristic
250C2×C22⋊Dic47C2318yescomplemented
251C2×C22⋊Dic47C2312yescomplemented
252C2×C22⋊Dic47C2312yescomplemented
253C2×C22⋊Dic47C2312yescomplemented
254C2×C22⋊Dic47C2312yescomplemented
255C2×(C2×D47)⋊C4C2312yes—
256C2×(C2×D47)⋊C4C2312yes—
257C2×(C2×D47)⋊C4C2312yes—
258C2×(C2×D47)⋊C4C2312yes—
259C2×(C2×D47)⋊C4C2312yes—
260C2×(C2×D47)⋊C4C2312yes—
261C2×(C2×D47)⋊C4C2312yes—
262C2×(C2×D47)⋊C4C2312yes—
263C2×(C2×D47)⋊C4C2312yes—
264C2×(C2×D47)⋊C4C2312yes—
265C2×(C2×D47)⋊C4C23116yescomplemented
266C2×(C2×D47)⋊C4C2312yescomplemented
267C2×(C2×D47)⋊C4C2312yescomplemented
268C22⋊C4×D47C23116yescomplemented
269C22⋊C4×D47C23116yescomplemented
270C22⋊C4×D47C23116yescomplemented
271C22⋊C4×D47C23116yescomplemented
272C2×C4×Dic47C2311yescharacteristic, complemented
273C2×C4×Dic47C2312yescomplemented
274C2×C4×Dic47C2311yescharacteristic, complemented
275C2×C4×Dic47C2312yescomplemented
276C25×C47C2311yescharacteristic
277C25×C47C2311yescharacteristic
278C25×C47C2311yescharacteristic, complemented
279C22×D4×C47—44no—
280C22×D4×C47—44no—
281C22×D4×C47C2312yes—
282C22×D4×C47C2312yes—
283C22×D4×C47C2312yes—
284C22×D4×C47C2311yescharacteristic
285C22×D4×C47C2311yescharacteristic
286C22×D4×C47C2311yescharacteristic
287C22×D4×C47C2311yescharacteristic
288C22×D4×C47C2318yescomplemented
289C22×D4×C47C2312yescomplemented
290C22×D4×C47C2318yescomplemented
291C23×C4×C47C2311yescharacteristic
292C23×C4×C47C2312yescomplemented
293C23×C4×C47C2311yescharacteristic, complemented
294#123×C47C2318yescomplemented
295#123×C47C2318yescomplemented
296#123×C47C23116yescomplemented
297#121×C47C23116yescomplemented
298#121×C47C23116yescomplemented
299#120×C47C23116yescomplemented
300#120×C47C2318yescomplemented
301#120×C47C2318yescomplemented
302C2×C4⋊C4×C47C2312yescomplemented
303C2×C4⋊C4×C47C2312yescomplemented
304C2×C22⋊C4×C47C2312yes—
305C2×C22⋊C4×C47C2312yes—
306C2×C22⋊C4×C47C2312yes—
307C2×C22⋊C4×C47C2318yescomplemented
308C2×C22⋊C4×C47C2311yescharacteristic, complemented
309C2×C22⋊C4×C47C2311yescharacteristic, complemented
310C2×C22⋊C4×C47C2312yescomplemented
311C2×C22⋊C4×C47C2312yescomplemented
312C24×C47—24no—
313C24×C47—24no—
314C24×C47—44no—
315C24×C47—42no—
316C24×C47—44no—
317C24×C47—44no—
318C24×C47C2411yescharacteristic
319C24×C47C2411yescharacteristic
320C24×C47C2411yescharacteristic
321C24×C47C2412yes—
322C24×C47C2411yescharacteristic
323C24×C47C2411yescharacteristic
324C24×C47C2414yes—
325C24×C47C2414yes—
326C24×C47C2414yescomplemented
327C23×D47—28no—
328C23×D47—28no—
329C23×D47—28no—
330C23×D47—28no—
331C23×D47—28no—
332C23×D47—432no—
333C23×D47—42no—
334C23×D47—44no—
335C23×D47—44no—
336C23×D47—44no—
337C23×D47—42no—
338C23×D47—44no—
339C23×D47—416no—
340C23×D47—44no—
341C23×D47—44no—
342C23×D47—464no—
343C23×D47C2412yes—
344C23×D47C2412yes—
345C23×D47C2414yes—
346C23×D47C2418yes—
347C23×D47C2412yes—
348C23×D47C2418yes—
349C23×D47C2418yes—
350C23×D47C2414yes—
351C2×D4×C47—28no—
352C2×D4×C47—42no—
353C2×D4×C47—42no—
354C2×D4×C47—42no—
355C2×D4×C47—42no—
356C2×D4×C47—44no—
357C2×D4×C47—416no—
358C2×D4×C47—44no—
359C2×D4×C47—44no—
360C2×D4×C47—416no—
361C2×D4×C47C2418yes—
362C2×D4×C47C2418yes—
363C2×D4×C47C2418yes—
364C2×D4×C47C2414yes—
365C2×D4×C47C2414yes—
366C2×D4×C47C2414yes—
367C2×D4×C47C2414yes—
368C2×D4×C47C2418yescomplemented
369C22×C4×C47—24no—
370C22×C4×C47—42no—
371C22×C4×C47—44no—
372C22×C4×C47C2412yes—
373C22×C4×C47C2412yes—
374C22×C4×C47C2412yes—
375C22×C4×C47C2411yescharacteristic
376C22×C4×C47C2411yescharacteristic
377C22×C4×C47C2414yes—
378C22×C4×C47C2418yescomplemented
379C22×C4×C47C2414yescomplemented
380C2×C22⋊D47—28no—
381C2×C22⋊D47—28no—
382C2×C22⋊D47—28no—
383C2×C22⋊D47—28no—
384C2×C22⋊D47—44no—
385C2×C22⋊D47—44no—
386C2×C22⋊D47—44no—
387C2×C22⋊D47—44no—
388C2×C22⋊D47—44no—
389C2×C22⋊D47—44no—
390C2×C22⋊D47—44no—
391C2×C22⋊D47—44no—
392C2×C22⋊D47—44no—
393C2×C22⋊D47—432no—
394C2×C22⋊D47—432no—
395C2×C22⋊D47C2418yes—
396C2×C22⋊D47C2418yes—
397C2×C22⋊D47C2418yes—
398C2×C22⋊D47C2418yes—
399C2×C22⋊D47C2418yes—
400C2×C22⋊D47C2418yes—
401C2×C22⋊D47C2418yes—
402C2×C22⋊D47C2418yes—
403C2×C22⋊D47C2418yes—
404C2×C22⋊D47C2418yes—
405C2×C22⋊D47C2418yescomplemented
406C2×C22⋊D47C2418yescomplemented
407C2×C22⋊D47C2418yescomplemented
408C22×Dic47—44no—
409C22×Dic47—44no—
410C22×Dic47C2412yes—
411C22×Dic47C2412yes—
412C22×Dic47C2412yes—
413C22×Dic47C2412yes—
414C22×Dic47C2412yes—
415C22×Dic47C2418yes—
416C22×Dic47C2418yescomplemented
417D4×D47—432no—
418D4×D47—432no—
419D4×D47—432no—
420#10625350—432no—
421#10625350—416no—
422C2×D188—28no—
423C2×D188—44no—
424C2×D188—44no—
425C2×D188—42no—
426C2×D188C2418yes—
427C2×D188C2418yes—
428C2×D188C2418yes—
429C2×D188C2414yescomplemented
430C2×C4×D47—28no—
431C2×C4×D47—44no—
432C2×C4×D47—44no—
433C2×C4×D47—44no—
434C2×C4×D47—44no—
435C2×C4×D47C2418yes—
436C2×C4×D47C2418yes—
437C2×C4×D47C2418yes—
438C2×C4×D47C2418yescomplemented
439C2×C4×D47C2418yescomplemented
440C2×Dic94—44no—
441C2×Dic94—42no—
442C2×Dic94C2418yescomplemented
443C2×Dic94C2414yescomplemented
444C4⋊C4×C47C2418yescomplemented
445C4⋊C4×C47C2418yescomplemented
446C22⋊C4×C47C2418yes—
447C22⋊C4×C47C2418yes—
448C22⋊C4×C47C2418yes—
449C22⋊C4×C47C2414yescomplemented
450C22⋊C4×C47C2414yescomplemented
451C22⋊C4×C47C2418yescomplemented
452C22⋊C4×C47C2418yescomplemented
453C22⋊Dic47C2418yes—
454C22⋊Dic47C2418yes—
455C22⋊Dic47C2418yes—
456C22⋊Dic47C2414yes—
457C22⋊Dic47C2418yes—
458C22⋊Dic47C2414yes—
459C22⋊Dic47C2418yescomplemented
460C22⋊Dic47C2418yescomplemented
461C22⋊Dic47C2418yescomplemented
462C22⋊Dic47C2418yescomplemented
463(C2×D47)⋊C4C2418yes—
464(C2×D47)⋊C4C2418yes—
465(C2×D47)⋊C4C2418yes—
466(C2×D47)⋊C4C2418yes—
467(C2×D47)⋊C4C2418yes—
468(C2×D47)⋊C4C2418yes—
469(C2×D47)⋊C4C2418yes—
470(C2×D47)⋊C4C2418yes—
471(C2×D47)⋊C4C2418yes—
472(C2×D47)⋊C4C2418yes—
473(C2×D47)⋊C4C2418yescomplemented
474(C2×D47)⋊C4C2418yescomplemented
475C4⋊Dic47C2418yescomplemented
476C4⋊Dic47C2418yescomplemented
477C4⋊Dic47C2418yescomplemented
478Dic47⋊C4C2418yescomplemented
479Dic47⋊C4C2418yescomplemented
480Dic47⋊C4C2418yescomplemented
481Dic47⋊C4C2418yescomplemented
482C4×Dic47C2414yescomplemented
483C4×Dic47C2418yescomplemented
484C4×Dic47C2414yescomplemented
485C4×Dic47C2418yescomplemented
486C23×C47—24no—
487C23×C47—24no—
488C23×C47—24no—
489C23×C47—24no—
490C23×C47—24no—
491C23×C47—24no—
492C23×C47—24no—
493C23×C47—24no—
494C23×C47—22no—
495C23×C47—22no—
496C23×C47—28no—
497C23×C47—22no—
498C23×C47—22no—
499C23×C47—28no—
500C23×C47—48no—
501C23×C47—48no—
502C23×C47—48no—
503C23×C47—44no—
504C23×C47—416no—
505C23×C47—88no—
506C23×C47—88no—
507C23×C47H(5,𝔽2)14yes—
508C23×C47C2512yes—
509C23×C47C2512yes—
510C23×C47C2514yes—
511C23×C47C2512yes—
512C23×C47C2512yes—
513C23×C47C2512yes—
514C23×C47C2511yescharacteristic
515C22×D47—24no—
516C22×D47—24no—
517C22×D47—24no—
518C22×D47—24no—
519C22×D47—24no—
520C22×D47—24no—
521C22×D47—24no—
522C22×D47—216no—
523C22×D47—24no—
524C22×D47—216no—
525C22×D47—216no—
526C22×D47—216no—
527C22×D47—216no—
528C22×D47—44no—
529C22×D47—48no—
530C22×D47—48no—
531C22×D47—48no—
532C22×D47—44no—
533C22×D47—48no—
534C22×D47—416no—
535C22×D47—48no—
536C22×D47—48no—
537C22×D47—432no—
538C22×D47—432no—
539C22×D47—4128no—
540C22×D47—416no—
541C22×D47—816no—
542C22×D47H(5,𝔽2)18yes—
543C22×D47C2514yes—
544C22×D47C2514yes—
545C22×D47C2514yes—
546D4×C47—216no—
547D4×C47—48no—
548D4×C47—48no—
549D4×C47—44no—
550D4×C47—44no—
551D4×C47—44no—
552D4×C47—44no—
553D4×C47—48no—
554C2×C4×C47—24no—
555C2×C4×C47—22no—
556C2×C4×C47—24no—
557C2×C4×C47—22no—
558C2×C4×C47—24no—
559C2×C4×C47—28no—
560C2×C4×C47—48no—
561C2×C4×C47—44no—
562C2×C4×C47C2512yes—
563C2×C4×C47C2514yes—
564C2×C4×C47C2514yes—
565C2×C4×C47C2514yes—
566C2×C4×C47C2512yes—
567C22⋊D47—216no—
568C22⋊D47—216no—
569C22⋊D47—216no—
570C22⋊D47—216no—
571C22⋊D47—48no—
572C22⋊D47—48no—
573C22⋊D47—48no—
574C22⋊D47—48no—
575C22⋊D47—48no—
576C22⋊D47—48no—
577C22⋊D47—48no—
578C22⋊D47—48no—
579C22⋊D47—48no—
580C2×Dic47—24no—
581C2×Dic47—24no—
582C2×Dic47—24no—
583C2×Dic47—24no—
584C2×Dic47—24no—
585C2×Dic47—48no—
586C2×Dic47—48no—
587C2×Dic47C2514yes—
588C2×Dic47C2514yes—
589C2×Dic47C2514yes—
590C2×Dic47C2514yes—
591C2×Dic47C2514yes—
592D188—216no—
593D188—48no—
594D188—48no—
595D188—44no—
596C4×D47—216no—
597C4×D47—48no—
598C4×D47—48no—
599C4×D47—48no—
600C4×D47—48no—
601Dic94—48no—
602Dic94—44no—
603C2×#3532—471nomaximal, Sylow
604C22×C47—24no—
605C22×C47—28no—
606C22×C47—24no—
607C22×C47—24no—
608C22×C47—24no—
609C22×C47—24no—
610C22×C47—24no—
611C22×C47—24no—
612C22×C47—24no—
613C22×C47—22no—
614C22×C47—22no—
615C22×C47—22no—
616C22×C47—22no—
617C22×C47—416no—
618C22×C47—44no—
619C22×C47—44no—
620C22×C47—48no—
621C22×C47—44no—
622C22×C47—44no—
623C22×C47—88no—
624C22×C47—88no—
625C22×C47C2×H(5,𝔽2)14yes—
626C22×C47C2×H(5,𝔽2)14yes—
627C22×C47C2×H(5,𝔽2)12yes—
628C22×C47C2611yescharacteristic
629C2×D47—24no—
630C2×D47—24no—
631C2×D47—216no—
632C2×D47—24no—
633C2×D47—24no—
634C2×D47—24no—
635C2×D47—24no—
636C2×D47—24no—
637C2×D47—24no—
638C2×D47—416no—
639C2×D47—432no—
640C2×D47—432no—
641C2×D47—416no—
642C2×D47—48no—
643C2×D47—48no—
644C2×D47—816no—
645C2×D47C2×H(5,𝔽2)18yes—
646C4×C47—24no—
647C4×C47—22no—
648C4×C47—24no—
649C4×C47—22no—
650C4×C47—24no—
651Dic47—24no—
652Dic47—24no—
653Dic47—24no—
654Dic47—24no—
655Dic47—24no—
656#3532—4732no—
657C2×H(3,𝔽4)—471no—
658C2×#560—471no—
659C2×#560—472no—
660C2×#551—472no—
661C2×#551—471no—
662C2×#546—472no—
663C2×#546—472no—
664C2×#546—472no—
665C2×D42—472no—
666C2×D42—471no—
667C2×#538—472no—
668C2×#538—472no—
669C2×#538—472no—
670C2×#535—471no—
671C2×#535—472no—
672C2×#534—472no—
673C2×#534D4711yescharacteristic, complemented
674C22×#120—471no—
675C22×#120—472no—
676C2×C47—24no—
677C2×C47—42no—
678C2×C47—42no—
679C2×C47—44no—
680C2×C47—42no—
681C2×C47—42no—
682C2×C47#353214yescomplemented
683C2×C47C22×H(5,𝔽2)12yes—
684C2×C47C22×H(5,𝔽2)11yescharacteristic
685D47—28no—
686D47—44no—
687D47—44no—
688C26—471no—
689C22×#41—471no—
690C22×#41—472no—
691C23×D4—472no—
692C23×D4—472no—
693C23×D4—472no—
694C23×D4—472no—
695C23×D4—472no—
696C23×D4C2×D4711yescharacteristic, complemented
697C23×D4C2×D4711yescharacteristic, complemented
698H(3,𝔽4)—4716no—
699#560—4716no—
700#560—4732no—
701#551—4732no—
702#551—4716no—
703#546—4732no—
704#546—4732no—
705#546—4732no—
706D42—4732no—
707D42—4716no—
708#538—4732no—
709#538—4732no—
710#538—4732no—
711#535—4716no—
712#535—4732no—
713#534—4732no—
714#534C2×D47116yescomplemented
715C2×#127—471no—
716C2×#127—471no—
717C2×#127—472no—
718C2×#126—472no—
719C2×#126—472no—
720C2×#126—472no—
721C2×#126—472no—
722C2×#124—471no—
723C2×#124—471no—
724C2×#124—472no—
725C2×#124—472no—
726C2×#124—472no—
727C2×#124—472no—
728C2×#124—472no—
729C2×#123—472no—
730C2×#123—472no—
731C2×#123—472no—
732C2×#123—472no—
733C2×#123—472no—
734C2×#123—472no—
735C2×#123—472no—
736C2×#123C2×D4711yescharacteristic, complemented
737C2×#123C2×D4711yescharacteristic, complemented
738C2×#123C2×D4712yescomplemented
739C2×C22⋊Q8—472no—
740C2×C22⋊Q8—472no—
741C2×C22⋊Q8—472no—
742C2×#121—472no—
743C2×#121—472no—
744C2×#121—472no—
745C2×#121—472no—
746C2×#121—472no—
747C2×#121—472no—
748C2×#121—472no—
749C2×#121—472no—
750C2×#121—472no—
751C2×#121—472no—
752C2×#121—472no—
753C2×#121—472no—
754C2×#121—472no—
755C2×#121C2×D4712yescomplemented
756C2×#121C2×D4712yescomplemented
757C2×#120—472no—
758C2×#120—472no—
759C2×#120—472no—
760C2×#120—472no—
761C2×#120—472no—
762C2×#120—472no—
763C2×#120—472no—
764C2×#120—471no—
765C2×#120—471no—
766C2×#120—471no—
767C2×#120—472no—
768C2×#120—471no—
769C2×#120—4716no—
770C2×#120—472no—
771C2×#120—4732no—
772C2×#120—472no—
773C2×#120—472no—
774C2×#120—472no—
775C2×#120—472no—
776C2×#120C2×D4712yescomplemented
777C2×#120C2×D4711yescharacteristic, complemented
778C2×#120C2×D4711yescharacteristic, complemented
779C2×C4×D4—472no—
780C2×C4×D4—472no—
781C2×C4×D4—472no—
782C2×C4×D4—472no—
783C2×C4×D4—472no—
784C2×C4×D4—472no—
785C2×#117—471no—
786C2×#117—472no—
787C22×C22⋊C4—471no—
788C22×C22⋊C4—472no—
789C22×C22⋊C4—472no—
790C22×C22⋊C4—472no—
791C22×C22⋊C4—472no—
792C22×C22⋊C4—472no—
793C22×C22⋊C4C2×D4711yescharacteristic, complemented
794C47C2×#353211yescharacteristic, complemented, Sylow
795C25—471no—
796C25—472no—
797C25—472no—
798C25—472no—
799C25—471no—
800C25—478no—
801C25—1884no—
802C25—1888no—
803C25C22×D4711yescharacteristic
804C25C22×D4711yescharacteristic
805C25C22×D4711yescharacteristic, complemented
806C2×#41—478no—
807C2×#41—4716no—
808C2×#41—1884no—
809C2×#41—1888no—
810C22×Q8—472no—
811C22×Q8—471no—
812C22×D4—44no—
813C22×D4—44no—
814C22×D4—472no—
815C22×D4—472no—
816C22×D4—472no—
817C22×D4—472no—
818C22×D4—472no—
819C22×D4—472no—
820C22×D4—472no—
821C22×D4—472no—
822C22×D4—472no—
823C22×D4—472no—
824C22×D4—472no—
825C22×D4—4716no—
826C22×D4—472no—
827C22×D4—472no—
828C22×D4—4716no—
829C22×D4—4716no—
830C22×D4—4716no—
831C22×D4—4716no—
832C22×D4—472no—
833C22×D4—472no—
834C22×D4—472no—
835C22×D4—471no—
836C22×D4—1888no—
837C22×D4—1888no—
838C22×D4—1888no—
839C22×D4—1888no—
840C22×D4—1888no—
841C22×D4C22×D4712yes—
842C22×D4C22×D4711yescharacteristic
843C22×D4C22×D4711yescharacteristic
844C22×D4C22×D4711yescharacteristic
845C22×D4C22×D4711yescharacteristic
846C22×D4C22×D4712yes—
847C22×D4C22×D4712yes—
848C22×D4C22×D4718yescomplemented
849C22×D4C22×D4712yescomplemented
850C22×D4C22×D4718yescomplemented
851C23×C4—472no—
852C23×C4—472no—
853C23×C4—472no—
854C23×C4—472no—
855C23×C4—472no—
856C23×C4—472no—
857C23×C4—472no—
858C23×C4C22×D4711yescharacteristic
859C23×C4C22×D4712yescomplemented
860C23×C4C22×D4711yescharacteristic, complemented
861#127—478no—
862#127—478no—
863#127—4716no—
864#126—4716no—
865#126—4716no—
866#126—4716no—
867#126—4716no—
868#124—478no—
869#124—478no—
870#124—4716no—
871#124—4716no—
872#124—4716no—
873#124—4716no—
874#124—4716no—
875#123—4716no—
876#123—4716no—
877#123—4716no—
878#123—4716no—
879#123—4716no—
880#123—4716no—
881#123—4716no—
882#123C22×D4718yescomplemented
883#123C22×D4718yescomplemented
884#123C22×D47116yescomplemented
885C22⋊Q8—4716no—
886C22⋊Q8—4716no—
887C22⋊Q8—4716no—
888#121—4716no—
889#121—4716no—
890#121—4716no—
891#121—4716no—
892#121—4716no—
893#121—4716no—
894#121—4716no—
895#121—4716no—
896#121—4716no—
897#121—4716no—
898#121—4716no—
899#121—4716no—
900#121—4716no—
901#121C22×D47116yescomplemented
902#121C22×D47116yescomplemented
903#120—4716no—
904#120—4716no—
905#120—4716no—
906#120—4716no—
907#120—4716no—
908#120—4716no—
909#120—4716no—
910#120—478no—
911#120—478no—
912#120—478no—
913#120—4716no—
914#120—478no—
915#120—4716no—
916#120—4716no—
917#120—4716no—
918#120—4716no—
919#120—4716no—
920#120C22×D47116yescomplemented
921#120C22×D4718yescomplemented
922#120C22×D4718yescomplemented
923C4×D4—4716no—
924C4×D4—4716no—
925C4×D4—4716no—
926C4×D4—4716no—
927C4×D4—4716no—
928C4×D4—4716no—
929#117—478no—
930#117—4716no—
931C2×C4⋊C4—472no—
932C2×C4⋊C4—472no—
933C2×C4⋊C4—472no—
934C2×C4⋊C4—472no—
935C2×C4⋊C4—472no—
936C2×C4⋊C4—472no—
937C2×C4⋊C4—472no—
938C2×C4⋊C4C22×D4712yescomplemented
939C2×C4⋊C4C22×D4712yescomplemented
940C2×C22⋊C4—472no—
941C2×C22⋊C4—471no—
942C2×C22⋊C4—472no—
943C2×C22⋊C4—472no—
944C2×C22⋊C4—472no—
945C2×C22⋊C4—471no—
946C2×C22⋊C4—478no—
947C2×C22⋊C4—472no—
948C2×C22⋊C4—472no—
949C2×C22⋊C4—472no—
950C2×C22⋊C4—472no—
951C2×C22⋊C4—472no—
952C2×C22⋊C4—472no—
953C2×C22⋊C4—472no—
954C2×C22⋊C4—472no—
955C2×C22⋊C4—472no—
956C2×C22⋊C4—472no—
957C2×C22⋊C4—472no—
958C2×C22⋊C4—472no—
959C2×C22⋊C4—472no—
960C2×C22⋊C4—472no—
961C2×C22⋊C4—4716no—
962C2×C22⋊C4—472no—
963C2×C22⋊C4—472no—
964C2×C22⋊C4—4716no—
965C2×C22⋊C4—4716no—
966C2×C22⋊C4—4716no—
967C2×C22⋊C4—4716no—
968C2×C22⋊C4C22×D4712yes—
969C2×C22⋊C4C22×D4712yes—
970C2×C22⋊C4C22×D4712yes—
971C2×C22⋊C4C22×D4718yescomplemented
972C2×C22⋊C4C22×D4712yescomplemented
973C2×C22⋊C4C22×D4711yescharacteristic, complemented
974C2×C22⋊C4C22×D4711yescharacteristic, complemented
975C2×C22⋊C4C22×D4712yescomplemented
976C2×C42—471no—
977C2×C42—472no—
978C2×C42—471no—
979C2×C42—472no—
980C24—24no—
981C24—24no—
982C24—44no—
983C24—42no—
984C24—44no—
985C24—44no—
986C24—472no—
987C24—472no—
988C24—472no—
989C24—474no—
990C24—478no—
991C24—478no—
992C24—478no—
993C24—474no—
994C24—948no—
995C24—948no—
996C24—948no—
997C24—948no—
998C24—948no—
999C24—1884no—
1000C24—1884no—
1001C24—1884no—
1002C24—1884no—
1003C24—1884no—
1004C24—1882no—
1005C24—1884no—
1006C24—1882no—
1007C24—18816no—
1008C24—18832no—
1009C24—18864no—
1010C24C23×D4711yescharacteristic
1011C24C23×D4711yescharacteristic
1012C24C23×D4712yes—
1013C24C23×D4711yescharacteristic
1014C24C23×D4711yescharacteristic
1015C24C23×D4711yescharacteristic
1016C24C23×D4714yes—
1017C24C23×D4714yes—
1018C24C23×D4714yescomplemented
1019#41—18816no—
1020#41—18832no—
1021C2×Q8—478no—
1022C2×Q8—474no—
1023C2×Q8—1884no—
1024C2×Q8—1882no—
1025C2×D4—28no—
1026C2×D4—42no—
1027C2×D4—42no—
1028C2×D4—42no—
1029C2×D4—42no—
1030C2×D4—416no—
1031C2×D4—44no—
1032C2×D4—44no—
1033C2×D4—44no—
1034C2×D4—416no—
1035C2×D4—478no—
1036C2×D4—478no—
1037C2×D4—478no—
1038C2×D4—478no—
1039C2×D4—478no—
1040C2×D4—478no—
1041C2×D4—478no—
1042C2×D4—478no—
1043C2×D4—478no—
1044C2×D4—478no—
1045C2×D4—478no—
1046C2×D4—478no—
1047C2×D4—478no—
1048C2×D4—478no—
1049C2×D4—478no—
1050C2×D4—478no—
1051C2×D4—474no—
1052C2×D4—948no—
1053C2×D4—948no—
1054C2×D4—948no—
1055C2×D4—948no—
1056C2×D4—948no—
1057C2×D4—1884no—
1058C2×D4—1884no—
1059C2×D4—1882no—
1060C2×D4—18832no—
1061C2×D4—1884no—
1062C2×D4—1884no—
1063C2×D4—1884no—
1064C2×D4—1884no—
1065C2×D4—1884no—
1066C2×D4—1884no—
1067C2×D4—1884no—
1068C2×D4—1884no—
1069C2×D4—1884no—
1070C2×D4—18832no—
1071C2×D4—18832no—
1072C2×D4—18832no—
1073C2×D4—18832no—
1074C2×D4C23×D4718yes—
1075C2×D4C23×D4714yes—
1076C2×D4C23×D4714yes—
1077C2×D4C23×D4714yes—
1078C2×D4C23×D4714yes—
1079C2×D4C23×D4718yes—
1080C2×D4C23×D4718yes—
1081C2×D4C23×D4718yescomplemented
1082C22×C4—24no—
1083C22×C4—42no—
1084C22×C4—44no—
1085C22×C4—472no—
1086C22×C4—472no—
1087C22×C4—472no—
1088C22×C4—472no—
1089C22×C4—472no—
1090C22×C4—478no—
1091C22×C4—478no—
1092C22×C4—478no—
1093C22×C4—478no—
1094C22×C4—478no—
1095C22×C4—478no—
1096C22×C4—478no—
1097C22×C4—948no—
1098C22×C4—1884no—
1099C22×C4—1884no—
1100C22×C4—1884no—
1101C22×C4—1884no—
1102C22×C4—1884no—
1103C22×C4—1884no—
1104C22×C4C23×D4714yes—
1105C22×C4C23×D4711yescharacteristic
1106C22×C4C23×D4712yes—
1107C22×C4C23×D4712yes—
1108C22×C4C23×D4711yescharacteristic
1109C22×C4C23×D4712yes—
1110C22×C4C23×D4718yescomplemented
1111C22×C4C23×D4714yescomplemented
1112C4⋊C4—478no—
1113C4⋊C4—478no—
1114C4⋊C4—478no—
1115C4⋊C4—478no—
1116C4⋊C4—478no—
1117C4⋊C4—478no—
1118C4⋊C4—478no—
1119C4⋊C4C23×D4718yescomplemented
1120C4⋊C4C23×D4718yescomplemented
1121C22⋊C4—478no—
1122C22⋊C4—474no—
1123C22⋊C4—478no—
1124C22⋊C4—478no—
1125C22⋊C4—478no—
1126C22⋊C4—474no—
1127C22⋊C4—478no—
1128C22⋊C4—478no—
1129C22⋊C4—478no—
1130C22⋊C4—478no—
1131C22⋊C4—478no—
1132C22⋊C4—478no—
1133C22⋊C4—478no—
1134C22⋊C4—478no—
1135C22⋊C4—478no—
1136C22⋊C4—478no—
1137C22⋊C4—478no—
1138C22⋊C4—478no—
1139C22⋊C4—478no—
1140C22⋊C4—478no—
1141C22⋊C4—478no—
1142C22⋊C4—478no—
1143C22⋊C4C23×D4718yes—
1144C22⋊C4C23×D4718yes—
1145C22⋊C4C23×D4718yes—
1146C22⋊C4C23×D4718yescomplemented
1147C22⋊C4C23×D4714yescomplemented
1148C22⋊C4C23×D4714yescomplemented
1149C22⋊C4C23×D4718yescomplemented
1150C42—474no—
1151C42—478no—
1152C42—474no—
1153C42—478no—
1154C23—24no—
1155C23—24no—
1156C23—24no—
1157C23—24no—
1158C23—24no—
1159C23—24no—
1160C23—24no—
1161C23—22no—
1162C23—24no—
1163C23—22no—
1164C23—28no—
1165C23—22no—
1166C23—22no—
1167C23—28no—
1168C23—48no—
1169C23—44no—
1170C23—48no—
1171C23—48no—
1172C23—416no—
1173C23—88no—
1174C23—88no—
1175C23—478no—
1176C23—474no—
1177C23—474no—
1178C23—474no—
1179C23—9416no—
1180C23—9416no—
1181C23—9416no—
1182C23—9416no—
1183C23—944no—
1184C23—944no—
1185C23—944no—
1186C23—944no—
1187C23—944no—
1188C23—944no—
1189C23—944no—
1190C23—9416no—
1191C23—944no—
1192C23—37616no—
1193C23—1888no—
1194C23—1888no—
1195C23—1888no—
1196C23—1888no—
1197C23—1888no—
1198C23—1884no—
1199C23—1888no—
1200C23—1884no—
1201C23—18832no—
1202C23—18816no—
1203C23—18832no—
1204C23—188128no—
1205C23—18816no—
1206C23#1309406914yes—
1207C23C24×D4712yes—
1208C23C24×D4712yes—
1209C23C24×D4714yes—
1210C23C24×D4712yes—
1211C23C24×D4712yes—
1212C23C24×D4712yes—
1213C23C24×D4711yescharacteristic
1214Q8—1888no—
1215Q8—1884no—
1216D4—216no—
1217D4—44no—
1218D4—44no—
1219D4—44no—
1220D4—44no—
1221D4—48no—
1222D4—48no—
1223D4—48no—
1224D4—9416no—
1225D4—9416no—
1226D4—9416no—
1227D4—9416no—
1228D4—9416no—
1229D4—1888no—
1230D4—1888no—
1231D4—1884no—
1232D4—1888no—
1233D4—1888no—
1234D4—1888no—
1235D4—1888no—
1236D4—1888no—
1237D4—1888no—
1238D4—1888no—
1239D4—1888no—
1240D4—1888no—
1241C2×C4—24no—
1242C2×C4—24no—
1243C2×C4—22no—
1244C2×C4—22no—
1245C2×C4—28no—
1246C2×C4—24no—
1247C2×C4—44no—
1248C2×C4—48no—
1249C2×C4—474no—
1250C2×C4—474no—
1251C2×C4—474no—
1252C2×C4—474no—
1253C2×C4—474no—
1254C2×C4—9416no—
1255C2×C4—944no—
1256C2×C4—944no—
1257C2×C4—944no—
1258C2×C4—944no—
1259C2×C4—944no—
1260C2×C4—1888no—
1261C2×C4—1888no—
1262C2×C4—1888no—
1263C2×C4—1888no—
1264C2×C4—1888no—
1265C2×C4—1888no—
1266C2×C4C24×D4712yes—
1267C2×C4C24×D4714yes—
1268C2×C4C24×D4714yes—
1269C2×C4C24×D4712yes—
1270C2×C4C24×D4714yes—
1271C22—28no—
1272C22—24no—
1273C22—24no—
1274C22—24no—
1275C22—24no—
1276C22—24no—
1277C22—24no—
1278C22—24no—
1279C22—22no—
1280C22—24no—
1281C22—22no—
1282C22—22no—
1283C22—22no—
1284C22—416no—
1285C22—44no—
1286C22—44no—
1287C22—44no—
1288C22—48no—
1289C22—44no—
1290C22—88no—
1291C22—88no—
1292C22—478no—
1293C22—9416no—
1294C22—944no—
1295C22—944no—
1296C22—944no—
1297C22—944no—
1298C22—944no—
1299C22—944no—
1300C22—944no—
1301C22—944no—
1302C22—37616no—
1303C22—18832no—
1304C22—18816no—
1305C22—18832no—
1306C22—18816no—
1307C22—1888no—
1308C22—1888no—
1309C22H(5,𝔽2)×D4714yes—
1310C22C2×#1309406914yes—
1311C22C2×#1309406912yes—
1312C22C25×D4711yescharacteristic
1313C4—24no—
1314C4—24no—
1315C4—22no—
1316C4—22no—
1317C4—24no—
1318C4—944no—
1319C4—944no—
1320C4—944no—
1321C4—944no—
1322C4—944no—
1323C2—24no—
1324C2—42no—
1325C2—42no—
1326C2—42no—
1327C2—44no—
1328C2—42no—
1329C2—948no—
1330C2—1884no—
1331C2—1884no—
1332C2#2025754014yesdirect product factor
1333C2C2×H(5,𝔽2)×D4712yes—
1334C2C22×#1309406911yescharacteristic
subgroupG/H
centerC23C24×D47
commutator, cosocleC22×C47C26
FrattiniC22C25×D47
FittingC2×C47×#534C2
socleC23×C47C25
hypercenterC2×#534D47
hypocenterC47C2×#3532
LCSG ▷ C22×C47 ▷ C47
UCSC1 ◁ C23 ◁ C2×#534

Complements

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

NH ≅ G/Ntype
1. #20257540C2direct (N × H)
2. C2×#15689866C2semidirect
3. C2×#15689863C2semidirect
4. C2×#15689861C2semidirect
5. C2×#15689801C2semidirect
6. C2×#15689796C2semidirect
7. C2×#15689770C2semidirect
8. C2×#15689765C2semidirect
9. C2×#15689763C2semidirect
10. C2×D4×C22⋊D47C2semidirect
11. C2×#15689755C2semidirect
12. C2×#15689709C2semidirect
13. C2×#15689708C2semidirect
14. C2×#15689705C2semidirect
15. C2×#15689690C2semidirect
16. C2×#15689689C2semidirect
17. C2×#15689683C2semidirect
18. C22×#13093992C2semidirect
19. C2×#120×D47C2semidirect
20. C2×C47×#534C2semidirect
21. C25×D47C22semidirect
22. C22×#10625350C22semidirect
23. C22×#10625350C22semidirect
24. C23×C22⋊D47C22semidirect
25. C23×C22⋊D47C22semidirect
26. C22×D4×D47C22semidirect
27. C22×D4×D47C22semidirect
28. C22×D4×D47C22semidirect
29. #15689866C22semidirect
30. #15689863C22semidirect
31. #15689861C22semidirect
32. #15689801C22semidirect
33. #15689796C22semidirect
34. #15689770C22semidirect
35. #15689765C22semidirect
36. #15689763C22semidirect
37. D4×C22⋊D47C22semidirect
38. #15689755C22semidirect
39. #15689709C22semidirect
40. #15689708C22semidirect
41. #15689705C22semidirect
42. #15689690C22semidirect
43. #15689689C22semidirect
44. #15689683C22semidirect
45. C2×#13094020C22semidirect
46. C2×#13094020C22semidirect
47. C2×#13094020C22semidirect
48. C2×#13094019C22semidirect
49. C2×#13094019C22semidirect
50. C2×#13094017C22semidirect
51. C2×#13094017C22semidirect
52. C2×#13094011C22semidirect
53. C2×#13094011C22semidirect
54. C2×#13094011C22semidirect
55. C2×#13094010C22semidirect
56. C2×#13094010C22semidirect
57. C2×#13094010C22semidirect
58. C2×#13094010C22semidirect
59. C2×#13094009C22semidirect
60. C2×#13094008C22semidirect
61. C2×#13094007C22semidirect
62. C2×#13094006C22semidirect
63. C2×#13094006C22semidirect
64. C2×#13094006C22semidirect
65. C2×#13094005C22semidirect
66. C2×#13094004C22semidirect
67. C2×#13094002C22semidirect
68. C2×#13094001C22semidirect
69. C2×#13093999C22semidirect
70. C2×#13093998C22semidirect
71. C2×#13093998C22semidirect
72. C2×#13093997C22semidirect
73. C2×#13093997C22semidirect
74. C2×#13093997C22semidirect
75. C2×#13093996C22semidirect
76. C2×#13093996C22semidirect
77. C2×#13093996C22semidirect
78. C2×#13093995C22semidirect
79. C2×#13093995C22semidirect
80. C2×#13093995C22semidirect
81. C2×#13093995C22semidirect
82. C2×#13093994C22semidirect
83. C2×#13093994C22semidirect
84. C2×#13093994C22semidirect
85. C2×#13093994C22semidirect
86. C2×#13093993C22semidirect
87. C2×#13093993C22semidirect
88. C2×#13093993C22semidirect
91. C2×#13093992C22semidirect
92. C2×#13093992C22semidirect
93. C2×#13093992C22semidirect
94. C2×#13093992C22semidirect
95. C2×#13093992C22semidirect
96. C2×#13093992C22semidirect
97. C2×#13093992C22semidirect
98. C2×#13093992C22semidirect
99. C2×#13093992C22semidirect
100. #120×D47C22semidirect
101. C2×D4×Dic47C22semidirect
102. C2×#13093986C22semidirect
103. C2×C4×C22⋊D47C22semidirect
104. C2×C4×C22⋊D47C22semidirect
105. C2×(C22⋊D47)⋊C4C22semidirect
106. C2×(C22⋊D47)⋊C4C22semidirect
107. C2×#13093983C22semidirect
108. C2×#13093982C22semidirect
109. C22×C22⋊Dic47C22semidirect
110. C22×(C2×D47)⋊C4C22semidirect
111. C2×C22⋊C4×D47C22semidirect
112. C2×C22⋊C4×D47C22semidirect
113. C2×C22⋊C4×D47C22semidirect
114. C2×C22⋊C4×D47C22semidirect
115. C23×D4×C47C22semidirect
116. C23×D4×C47C22semidirect
117. C47×#534C22semidirect
118. C2×#123×C47C22semidirect
119. C2×#123×C47C22semidirect
120. C2×#123×C47C22semidirect
121. C2×#121×C47C22semidirect
122. C2×#121×C47C22semidirect
123. C2×#120×C47C22semidirect
124. C2×#120×C47C22semidirect
125. C2×#120×C47C22semidirect
126. C22×C22⋊C4×C47C22semidirect
134. C24×D47C23semidirect
137. C2×#10625350C23semidirect
138. C2×#10625350C23semidirect
139. C22×Dic94C23semidirect
140. C22×Dic94C23semidirect
144. C22×D188C23semidirect
157. C22×C22⋊D47C23semidirect
158. C22×C22⋊D47C23semidirect
159. C22×C22⋊D47C23semidirect
160. C22×C22⋊D47C23semidirect
161. C22×C22⋊D47C23semidirect
165. C2×D4×D47C23semidirect
166. C2×D4×D47C23semidirect
167. C2×D4×D47C23semidirect
169. C23×Dic47C23semidirect
173. C22×C4×D47C23semidirect
174. C22×C4×D47C23semidirect
175. #13094020C23semidirect
176. #13094020C23semidirect
177. #13094020C23semidirect
178. #13094019C23semidirect
179. #13094019C23semidirect
180. #13094017C23semidirect
181. #13094017C23semidirect
182. #13094011C23semidirect
183. #13094011C23semidirect
184. #13094011C23semidirect
185. #13094010C23semidirect
186. #13094010C23semidirect
187. #13094010C23semidirect
188. #13094010C23semidirect
189. #13094009C23semidirect
190. #13094008C23semidirect
191. #13094007C23semidirect
192. #13094006C23semidirect
193. #13094006C23semidirect
194. #13094006C23semidirect
195. #13094005C23semidirect
196. #13094004C23semidirect
197. #13094002C23semidirect
198. #13094001C23semidirect
199. #13093999C23semidirect
200. #13093998C23semidirect
201. #13093998C23semidirect
202. #13093997C23semidirect
203. #13093997C23semidirect
204. #13093997C23semidirect
205. #13093996C23semidirect
206. #13093996C23semidirect
207. #13093996C23semidirect
208. #13093995C23semidirect
209. #13093995C23semidirect
210. #13093995C23semidirect
211. #13093995C23semidirect
212. #13093994C23semidirect
213. #13093994C23semidirect
214. #13093994C23semidirect
215. #13093994C23semidirect
216. #13093993C23semidirect
217. #13093993C23semidirect
218. #13093993C23semidirect
221. #13093992C23semidirect
222. #13093992C23semidirect
223. #13093992C23semidirect
224. #13093992C23semidirect
225. #13093992C23semidirect
226. #13093992C23semidirect
227. #13093992C23semidirect
228. #13093992C23semidirect
229. D4×Dic47C23semidirect
230. #13093986C23semidirect
231. C4×C22⋊D47C23semidirect
232. C4×C22⋊D47C23semidirect
233. (C22⋊D47)⋊C4C23semidirect
234. (C22⋊D47)⋊C4C23semidirect
235. #13093983C23semidirect
236. #13093982C23semidirect
237. C2×C4⋊Dic47C23semidirect
238. C2×C4⋊Dic47C23semidirect
239. C2×C4⋊Dic47C23semidirect
240. C2×Dic47⋊C4C23semidirect
241. C2×Dic47⋊C4C23semidirect
242. C2×Dic47⋊C4C23semidirect
243. C2×Dic47⋊C4C23semidirect
250. C2×C22⋊Dic47C23semidirect
251. C2×C22⋊Dic47C23semidirect
252. C2×C22⋊Dic47C23semidirect
253. C2×C22⋊Dic47C23semidirect
254. C2×C22⋊Dic47C23semidirect
265. C2×(C2×D47)⋊C4C23semidirect
266. C2×(C2×D47)⋊C4C23semidirect
267. C2×(C2×D47)⋊C4C23semidirect
268. C22⋊C4×D47C23semidirect
269. C22⋊C4×D47C23semidirect
270. C22⋊C4×D47C23semidirect
271. C22⋊C4×D47C23semidirect
272. C2×C4×Dic47C23semidirect
273. C2×C4×Dic47C23semidirect
274. C2×C4×Dic47C23semidirect
275. C2×C4×Dic47C23semidirect
278. C25×C47C23semidirect
288. C22×D4×C47C23semidirect
289. C22×D4×C47C23semidirect
290. C22×D4×C47C23semidirect
292. C23×C4×C47C23semidirect
293. C23×C4×C47C23semidirect
294. #123×C47C23semidirect
295. #123×C47C23semidirect
296. #123×C47C23semidirect
297. #121×C47C23semidirect
298. #121×C47C23semidirect
299. #120×C47C23semidirect
300. #120×C47C23semidirect
301. #120×C47C23semidirect
302. C2×C4⋊C4×C47C23semidirect
303. C2×C4⋊C4×C47C23semidirect
307. C2×C22⋊C4×C47C23semidirect
308. C2×C22⋊C4×C47C23semidirect
309. C2×C22⋊C4×C47C23semidirect
310. C2×C22⋊C4×C47C23semidirect
311. C2×C22⋊C4×C47C23semidirect
326. C24×C47C24semidirect
368. C2×D4×C47C24semidirect
378. C22×C4×C47C24semidirect
379. C22×C4×C47C24semidirect
405. C2×C22⋊D47C24semidirect
406. C2×C22⋊D47C24semidirect
407. C2×C22⋊D47C24semidirect
416. C22×Dic47C24semidirect
429. C2×D188C24semidirect
438. C2×C4×D47C24semidirect
439. C2×C4×D47C24semidirect
442. C2×Dic94C24semidirect
443. C2×Dic94C24semidirect
444. C4⋊C4×C47C24semidirect
445. C4⋊C4×C47C24semidirect
449. C22⋊C4×C47C24semidirect
450. C22⋊C4×C47C24semidirect
451. C22⋊C4×C47C24semidirect
452. C22⋊C4×C47C24semidirect
459. C22⋊Dic47C24semidirect
460. C22⋊Dic47C24semidirect
461. C22⋊Dic47C24semidirect
462. C22⋊Dic47C24semidirect
473. (C2×D47)⋊C4C24semidirect
474. (C2×D47)⋊C4C24semidirect
475. C4⋊Dic47C24semidirect
476. C4⋊Dic47C24semidirect
477. C4⋊Dic47C24semidirect
478. Dic47⋊C4C24semidirect
479. Dic47⋊C4C24semidirect
480. Dic47⋊C4C24semidirect
481. Dic47⋊C4C24semidirect
482. C4×Dic47C24semidirect
483. C4×Dic47C24semidirect
484. C4×Dic47C24semidirect
485. C4×Dic47C24semidirect
673. C2×#534D47semidirect
682. C2×C47#3532semidirect
696. C23×D4C2×D47semidirect
697. C23×D4C2×D47semidirect
714. #534C2×D47semidirect
736. C2×#123C2×D47semidirect
737. C2×#123C2×D47semidirect
738. C2×#123C2×D47semidirect
755. C2×#121C2×D47semidirect
756. C2×#121C2×D47semidirect
776. C2×#120C2×D47semidirect
777. C2×#120C2×D47semidirect
778. C2×#120C2×D47semidirect
793. C22×C22⋊C4C2×D47semidirect
794. C47C2×#3532semidirect
805. C25C22×D47semidirect
848. C22×D4C22×D47semidirect
849. C22×D4C22×D47semidirect
850. C22×D4C22×D47semidirect
859. C23×C4C22×D47semidirect
860. C23×C4C22×D47semidirect
882. #123C22×D47semidirect
883. #123C22×D47semidirect
884. #123C22×D47semidirect
901. #121C22×D47semidirect
902. #121C22×D47semidirect
920. #120C22×D47semidirect
921. #120C22×D47semidirect
922. #120C22×D47semidirect
938. C2×C4⋊C4C22×D47semidirect
939. C2×C4⋊C4C22×D47semidirect
971. C2×C22⋊C4C22×D47semidirect
972. C2×C22⋊C4C22×D47semidirect
973. C2×C22⋊C4C22×D47semidirect
974. C2×C22⋊C4C22×D47semidirect
975. C2×C22⋊C4C22×D47semidirect
1018. C24C23×D47semidirect
1081. C2×D4C23×D47semidirect
1110. C22×C4C23×D47semidirect
1111. C22×C4C23×D47semidirect
1119. C4⋊C4C23×D47semidirect
1120. C4⋊C4C23×D47semidirect
1146. C22⋊C4C23×D47semidirect
1147. C22⋊C4C23×D47semidirect
1148. C22⋊C4C23×D47semidirect
1149. C22⋊C4C23×D47semidirect
1332. C2#20257540direct (N × H)

Maximal subgroups

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

subgroupindex
#202575402
C2×#156898662
C2×#156898632
C2×#156898612
C2×#156898012
C2×#156897962
C2×#156897702
C2×#156897652
C2×#156897632
C2×D4×C22⋊D472
C2×#156897552
C2×#156897092
C2×#156897082
C2×#156897052
C2×#156896902
C2×#156896892
C2×#156896832
C22×#130939922
C2×#120×D472
C2×C47×#5342
C2×#353247