Finite Group Databasebeta

← C2×#20257538 #27123395

Subgroups — C2×#20257538 #27123395

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#20257538C2132yesmaximal, direct product factor
2C2×#15689866C211yesmaximal, characteristic, complemented
3C2×#15689861C212yesmaximal, complemented
4C2×#15689860C211yesmaximal, characteristic, complemented
5C2×#15689804C211yesmaximal, characteristic, complemented
6C2×#15689802C212yesmaximal, complemented
7C2×#15689767C212yesmaximal, complemented
8C2×#15689762C212yesmaximal, complemented
9C2×#15689760C212yesmaximal, complemented
10C2×D4×C22⋊D47C212yesmaximal, complemented
11C2×#15689710C212yesmaximal, complemented
12C2×#15689706C212yesmaximal, complemented
13C2×#15689705C212yesmaximal, complemented
14C2×#15689688C212yesmaximal, complemented
15C2×#15689686C211yesmaximal, characteristic, complemented
16C2×#15689683C211yesmaximal, characteristic, complemented
17C2×#15689682C212yesmaximal, complemented
18C22×#13093992C212yesmaximal, complemented
19C2×#120×D47C211yesmaximal, characteristic, complemented
20C2×D42×C47C211yesmaximal, characteristic, complemented
21C25×D47C2211yescharacteristic, complemented
22C22×#10625352C2212yescomplemented
23C22×#10625352C2211yescharacteristic, complemented
24C23×C22⋊D47C2212yescomplemented
25C23×C22⋊D47C2212yescomplemented
26C23×C22⋊D47C2211yescharacteristic, complemented
27C22×D4×D47C2212yescomplemented
28C22×D4×D47C2211yescharacteristic, complemented
29#15689866C22116yescomplemented
30#15689861C22132yescomplemented
31#15689860C22116yescomplemented
32#15689804C22116yescomplemented
33#15689802C22132yescomplemented
34#15689767C22132yescomplemented
35#15689762C22132yescomplemented
36#15689760C22132yescomplemented
37D4×C22⋊D47C22132yescomplemented
38#15689710C22132yescomplemented
39#15689706C22132yescomplemented
40#15689705C22132yescomplemented
41#15689688C22132yescomplemented
42#15689686C22116yescomplemented
43#15689683C22116yescomplemented
44#15689682C22132yescomplemented
45C2×#13094020C2212yescomplemented
46C2×#13094020C2211yescharacteristic, complemented
47C2×#13094019C2212yescomplemented
48C2×#13094019C2212yescomplemented
49C2×#13094018C2212yescomplemented
50C2×#13094017C2212yescomplemented
51C2×#13094012C2211yescharacteristic, complemented
52C2×#13094011C2212yescomplemented
53C2×#13094011C2211yescharacteristic, complemented
54C2×#13094010C2212yescomplemented
55C2×#13094010C2212yescomplemented
56C2×#13094010C2212yescomplemented
57C2×#13094010C2212yescomplemented
58C2×#13094009C2212yescomplemented
59C2×#13094008C2212yescomplemented
60C2×#13094008C2211yescharacteristic, complemented
61C2×#13094007C2212yescomplemented
62C2×#13094007C2212yescomplemented
63C2×#13094006C2212yescomplemented
64C2×#13094005C2212yescomplemented
65C2×#13094005C2211yescharacteristic, complemented
66C2×#13094005C2212yescomplemented
67C2×#13094005C2212yescomplemented
68C2×#13094003C2212yescomplemented
69C2×#13094002C2212yescomplemented
70C2×#13094001C2212yescomplemented
71C2×#13093998C2212yescomplemented
72C2×#13093997C2212yescomplemented
73C2×#13093997C2212yescomplemented
74C2×#13093996C2212yescomplemented
75C2×#13093996C2212yescomplemented
76C2×#13093996C2212yescomplemented
77C2×#13093996C2212yescomplemented
78C2×#13093996C2212yescomplemented
79C2×#13093996C2212yescomplemented
80C2×#13093996C2212yescomplemented
81C2×#13093996C2212yescomplemented
82C2×#13093995C2212yescomplemented
83C2×#13093995C2212yescomplemented
84C2×#13093994C2212yescomplemented
85C2×#13093994C2211yescharacteristic, complemented
86C2×#13093993C2211yescharacteristic, complemented
87C2×#13093993C2212yescomplemented
88C2×#13093993C2212yescomplemented
89C2×#13093993C2211yescharacteristic, complemented
90C2×#13093992C2212yes—
91C2×#13093992C2212yescomplemented
92C2×#13093992C2212yescomplemented
93C2×#13093992C2211yescharacteristic, complemented
94C2×#13093992C2212yescomplemented
95C2×#13093992C2212yescomplemented
96C2×#13093992C2212yescomplemented
97C2×#13093992C2212yescomplemented
98C2×#13093992C2212yescomplemented
99C2×#13093992C2212yescomplemented
100C2×#13093992C2212yescomplemented
101C2×#13093992C22132yescomplemented
102#120×D47C22116yescomplemented
103C2×D4×Dic47C2212yescomplemented
104C2×D4×Dic47C2212yescomplemented
105C2×C4×C22⋊D47C2212yescomplemented
106C2×C4×C22⋊D47C2212yescomplemented
107C2×(C22⋊D47)⋊C4C2212yescomplemented
108C2×#13093981C2211yescharacteristic, complemented
109C2×#13093980C2212yescomplemented
110C22×C22⋊Dic47C2212yescomplemented
111C22×C22⋊Dic47C2212yescomplemented
112C22×(C2×D47)⋊C4C2212yescomplemented
113C22×(C2×D47)⋊C4C2212yescomplemented
114C2×C22⋊C4×D47C2212yescomplemented
115C2×C22⋊C4×D47C2211yescharacteristic, complemented
116C2×C22⋊C4×D47C2211yescharacteristic, complemented
117C23×D4×C47C2212yescomplemented
118C23×D4×C47C2212yescomplemented
119D42×C47C22116yescomplemented
120C2×#127×C47C2211yescharacteristic, complemented
121C2×#121×C47C2212yescomplemented
122C2×#121×C47C2212yescomplemented
123C2×#120×C47C2211yescharacteristic
124C2×#120×C47C2212yescomplemented
125C2×#120×C47C2211yescharacteristic, complemented
126C2×C4×D4×C47C2212yescomplemented
127C24×D47—44no—
128C24×D47—48no—
129C24×D47C2312yes—
130C24×D47C2311yescharacteristic
131C24×D47C2311yescharacteristic
132C24×D47C2312yes—
133C24×D47C2311yescharacteristic
134C24×D47C2318yescomplemented
135C2×#10625352—44no—
136C2×#10625352—48no—
137C2×#10625352C2318yescomplemented
138C2×#10625352C23116yescomplemented
139C22×Dic94C2311yescharacteristic, complemented
140C22×Dic94C2312yescomplemented
141C22×D188C2311yescharacteristic
142C22×D188C2312yes—
143C22×C22⋊D47—48no—
144C22×C22⋊D47—48no—
145C22×C22⋊D47—44no—
146C22×C22⋊D47C2312yes—
147C22×C22⋊D47C2312yes—
148C22×C22⋊D47C2312yes—
149C22×C22⋊D47C2312yes—
150C22×C22⋊D47C2311yescharacteristic
151C22×C22⋊D47C2312yes—
152C22×C22⋊D47C2312yes—
153C22×C22⋊D47C2312yes—
154C22×C22⋊D47C2312yes—
155C22×C22⋊D47C2312yes—
156C22×C22⋊D47C2312yes—
157C22×C22⋊D47C2311yescharacteristic
158C22×C22⋊D47C23116yescomplemented
159C22×C22⋊D47C23116yescomplemented
160C22×C22⋊D47C2312yescomplemented
161C22×C22⋊D47C2312yescomplemented
162C22×C22⋊D47C2318yescomplemented
163C2×D4×D47—44no—
164C2×D4×D47—48no—
165C2×D4×D47C23116yescomplemented
166C2×D4×D47C2318yescomplemented
167C23×Dic47C2312yes—
168C23×Dic47C2312yes—
169C23×Dic47C2312yescomplemented
170C23×Dic47C2312yescomplemented
171C23×Dic47C2311yescharacteristic, complemented
172C22×C4×D47C2311yescharacteristic
173C22×C4×D47C2312yes—
174C22×C4×D47C2312yescomplemented
175#13094020C23116yescomplemented
176#13094020C2318yescomplemented
177#13094019C23116yescomplemented
178#13094019C23116yescomplemented
179#13094018C23116yescomplemented
180#13094017C23116yescomplemented
181#13094012C2318yescomplemented
182#13094011C23116yescomplemented
183#13094011C2318yescomplemented
184#13094010C23116yescomplemented
185#13094010C23116yescomplemented
186#13094010C23116yescomplemented
187#13094010C23116yescomplemented
188#13094009C23116yescomplemented
189#13094008C23116yescomplemented
190#13094008C2318yescomplemented
191#13094007C23116yescomplemented
192#13094007C23116yescomplemented
193#13094006C23116yescomplemented
194#13094005C23116yescomplemented
195#13094005C2318yescomplemented
196#13094005C23116yescomplemented
197#13094005C23116yescomplemented
198#13094003C23116yescomplemented
199#13094002C23116yescomplemented
200#13094001C23116yescomplemented
201#13093998C23116yescomplemented
202#13093997C23116yescomplemented
203#13093997C23116yescomplemented
204#13093996C23116yescomplemented
205#13093996C23116yescomplemented
206#13093996C23116yescomplemented
207#13093996C23116yescomplemented
208#13093996C23116yescomplemented
209#13093996C23116yescomplemented
210#13093996C23116yescomplemented
211#13093996C23116yescomplemented
212#13093995C23116yescomplemented
213#13093995C23116yescomplemented
214#13093994C2318yescomplemented
215#13093994C23116yescomplemented
216#13093993C2318yescomplemented
217#13093993C23116yescomplemented
218#13093993C23116yescomplemented
219#13093993C2318yescomplemented
220#13093992C23116yes—
221#13093992C23116yescomplemented
222#13093992C23116yescomplemented
223#13093992C2318yescomplemented
224#13093992C23116yescomplemented
225#13093992C23116yescomplemented
226#13093992C23116yescomplemented
227#13093992C23116yescomplemented
228#13093992C23116yescomplemented
229#13093992C23116yescomplemented
230#13093992C23116yescomplemented
231D4×Dic47C23116yescomplemented
232D4×Dic47C23116yescomplemented
233C4×C22⋊D47C23116yescomplemented
234C4×C22⋊D47C23116yescomplemented
235(C22⋊D47)⋊C4C23116yescomplemented
236#13093981C2318yescomplemented
237#13093980C23116yescomplemented
238C2×C4⋊Dic47C2312yescomplemented
239C2×C4⋊Dic47C2312yescomplemented
240C2×Dic47⋊C4C2312yescomplemented
241C2×Dic47⋊C4C2312yescomplemented
242C2×Dic47⋊C4C2312yescomplemented
243C2×Dic47⋊C4C2312yescomplemented
244C2×Dic47⋊C4C2312yescomplemented
245C2×Dic47⋊C4C2312yescomplemented
246C2×C22⋊Dic47C2312yes—
247C2×C22⋊Dic47C2311yescharacteristic
248C2×C22⋊Dic47C2312yes—
249C2×C22⋊Dic47C2312yes—
250C2×C22⋊Dic47C2312yes—
251C2×C22⋊Dic47C2312yes—
252C2×C22⋊Dic47C23116yescomplemented
253C2×C22⋊Dic47C23116yescomplemented
254C2×C22⋊Dic47C2311yescharacteristic, complemented
255C2×C22⋊Dic47C2312yescomplemented
256C2×C22⋊Dic47C2312yescomplemented
257C2×C22⋊Dic47C2312yescomplemented
258C2×C22⋊Dic47C2312yescomplemented
259C2×C22⋊Dic47C2312yescomplemented
260C2×(C2×D47)⋊C4C2312yes—
261C2×(C2×D47)⋊C4C2312yes—
262C2×(C2×D47)⋊C4C2312yes—
263C2×(C2×D47)⋊C4C2312yes—
264C2×(C2×D47)⋊C4C2312yes—
265C2×(C2×D47)⋊C4C2312yes—
266C2×(C2×D47)⋊C4C2312yes—
267C2×(C2×D47)⋊C4C2312yes—
268C2×(C2×D47)⋊C4C2312yes—
269C2×(C2×D47)⋊C4C2312yes—
270C2×(C2×D47)⋊C4C2312yes—
271C2×(C2×D47)⋊C4C23116yescomplemented
272C2×(C2×D47)⋊C4C23116yescomplemented
273C2×(C2×D47)⋊C4C2312yescomplemented
274C22⋊C4×D47C23116yescomplemented
275C22⋊C4×D47C2318yescomplemented
276C22⋊C4×D47C2318yescomplemented
277C2×C4×Dic47C2311yescharacteristic, complemented
278C2×C4×Dic47C2312yescomplemented
279C2×C4×Dic47C2312yescomplemented
280C25×C47C2311yescharacteristic
281C25×C47C2312yes—
282C25×C47C2311yescharacteristic, complemented
283C22×D4×C47—48no—
284C22×D4×C47—48no—
285C22×D4×C47C2312yes—
286C22×D4×C47C2312yes—
287C22×D4×C47C2312yes—
288C22×D4×C47C2311yescharacteristic
289C22×D4×C47C2312yes—
290C22×D4×C47C2312yes—
291C22×D4×C47C23116yescomplemented
292C22×D4×C47C2311yescharacteristic, complemented
293C22×D4×C47C2312yescomplemented
294C22×D4×C47C2312yescomplemented
295C22×D4×C47C23116yescomplemented
296C23×C4×C47C2312yes—
297C23×C4×C47C2312yescomplemented
298#127×C47C2318yescomplemented
299#121×C47C23116yescomplemented
300#121×C47C23116yescomplemented
301#120×C47C2318yes—
302#120×C47C23116yescomplemented
303#120×C47C2318yescomplemented
304C4×D4×C47C23116yescomplemented
305C2×C4⋊C4×C47C2312yescomplemented
306C2×C22⋊C4×C47C2312yes—
307C2×C22⋊C4×C47C2311yescharacteristic
308C2×C22⋊C4×C47C2312yescomplemented
309C2×C22⋊C4×C47C2311yescharacteristic, complemented
310C2×C22⋊C4×C47C2312yescomplemented
311C2×C42×C47C2311yescharacteristic, complemented
312C24×C47—28no—
313C24×C47—28no—
314C24×C47—42no—
315C24×C47—44no—
316C24×C47—44no—
317C24×C47—44no—
318C24×C47—42no—
319C24×C47C2411yescharacteristic
320C24×C47C2412yes—
321C24×C47C2411yescharacteristic
322C24×C47C2412yes—
323C24×C47C2414yes—
324C24×C47C2412yes—
325C24×C47C2418yes—
326C24×C47C2414yescomplemented
327C23×D47—28no—
328C23×D47—28no—
329C23×D47—24no—
330C23×D47—28no—
331C23×D47—24no—
332C23×D47—416no—
333C23×D47—44no—
334C23×D47—44no—
335C23×D47—44no—
336C23×D47—44no—
337C23×D47—44no—
338C23×D47—42no—
339C23×D47—432no—
340C23×D47—44no—
341C23×D47—464no—
342C23×D47C2412yes—
343C23×D47C2411yescharacteristic
344C23×D47C2411yescharacteristic
345C23×D47C2418yes—
346C23×D47C2411yescharacteristic
347C23×D47C2414yes—
348C23×D47C2414yes—
349C23×D47C2418yes—
350C23×D47C2414yes—
351C2×D4×C47—28no—
352C2×D4×C47—28no—
353C2×D4×C47—28no—
354C2×D4×C47—44no—
355C2×D4×C47—44no—
356C2×D4×C47—44no—
357C2×D4×C47—44no—
358C2×D4×C47—42no—
359C2×D4×C47—42no—
360C2×D4×C47—432no—
361C2×D4×C47—432no—
362C2×D4×C47C2418yes—
363C2×D4×C47C2418yes—
364C2×D4×C47C2418yes—
365C2×D4×C47C2414yes—
366C2×D4×C47C2418yes—
367C2×D4×C47C2418yes—
368C2×D4×C47C2414yescomplemented
369C2×D4×C47C2418yescomplemented
370C2×D4×C47C2418yescomplemented
371C22×C4×C47—44no—
372C22×C4×C47—44no—
373C22×C4×C47C2411yescharacteristic
374C22×C4×C47C2412yes—
375C22×C4×C47C2412yes—
376C22×C4×C47C2412yes—
377C22×C4×C47C2418yes—
378C22×C4×C47C2418yescomplemented
379C2×C22⋊D47—28no—
380C2×C22⋊D47—28no—
381C2×C22⋊D47—28no—
382C2×C22⋊D47—44no—
383C2×C22⋊D47—42no—
384C2×C22⋊D47—42no—
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—432no—
392C2×C22⋊D47—44no—
393C2×C22⋊D47—44no—
394C2×C22⋊D47—432no—
395C2×C22⋊D47—416no—
396C2×C22⋊D47C2418yes—
397C2×C22⋊D47C2418yes—
398C2×C22⋊D47C2418yes—
399C2×C22⋊D47C2418yes—
400C2×C22⋊D47C2414yes—
401C2×C22⋊D47C2418yes—
402C2×C22⋊D47C2418yes—
403C2×C22⋊D47C2418yes—
404C2×C22⋊D47C2418yes—
405C2×C22⋊D47C2418yes—
406C2×C22⋊D47C2418yes—
407C2×C22⋊D47C2414yes—
408C2×C22⋊D47C2418yescomplemented
409C2×C22⋊D47C2418yescomplemented
410C22×Dic47—28no—
411C22×Dic47—44no—
412C22×Dic47—42no—
413C22×Dic47—44no—
414C22×Dic47—44no—
415C22×Dic47C2412yes—
416C22×Dic47C2412yes—
417C22×Dic47C2412yes—
418C22×Dic47C2412yes—
419C22×Dic47C2412yes—
420C22×Dic47C2411yescharacteristic
421C22×Dic47C2418yes—
422C22×Dic47C2418yes—
423C22×Dic47C2418yescomplemented
424C22×Dic47C2418yescomplemented
425C22×Dic47C2414yescomplemented
426#10625352—416no—
427#10625352—432no—
428D4×D47—416no—
429D4×D47—432no—
430C2×D188—42no—
431C2×D188—44no—
432C2×D188C2414yes—
433C2×D188C2418yes—
434C2×C4×D47—24no—
435C2×C4×D47—44no—
436C2×C4×D47—44no—
437C2×C4×D47C2414yes—
438C2×C4×D47C2418yes—
439C2×C4×D47C2418yescomplemented
440C2×Dic94—44no—
441C2×Dic94—42no—
442C2×Dic94C2414yescomplemented
443C2×Dic94C2418yescomplemented
444C4⋊C4×C47C2418yescomplemented
445C22⋊C4×C47C2418yes—
446C22⋊C4×C47C2414yes—
447C22⋊C4×C47C2418yescomplemented
448C22⋊C4×C47C2414yescomplemented
449C22⋊C4×C47C2418yescomplemented
450C42×C47C2414yescomplemented
451C22⋊Dic47C2418yes—
452C22⋊Dic47C2414yes—
453C22⋊Dic47C2418yes—
454C22⋊Dic47C2418yes—
455C22⋊Dic47C2418yes—
456C22⋊Dic47C2418yes—
457C22⋊Dic47C2414yescomplemented
458C22⋊Dic47C2418yescomplemented
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)⋊C4C2418yes—
474(C2×D47)⋊C4C2418yescomplemented
475C4⋊Dic47C2418yescomplemented
476C4⋊Dic47C2418yescomplemented
477Dic47⋊C4C2418yescomplemented
478Dic47⋊C4C2418yescomplemented
479Dic47⋊C4C2418yescomplemented
480Dic47⋊C4C2418yescomplemented
481Dic47⋊C4C2418yescomplemented
482Dic47⋊C4C2418yescomplemented
483C4×Dic47C2414yescomplemented
484C4×Dic47C2418yescomplemented
485C4×Dic47C2418yescomplemented
486C23×C47—24no—
487C23×C47—24no—
488C23×C47—24no—
489C23×C47—24no—
490C23×C47—22no—
491C23×C47—24no—
492C23×C47—24no—
493C23×C47—24no—
494C23×C47—24no—
495C23×C47—22no—
496C23×C47—24no—
497C23×C47—216no—
498C23×C47—24no—
499C23×C47—216no—
500C23×C47—44no—
501C23×C47—48no—
502C23×C47—44no—
503C23×C47—48no—
504C23×C47—48no—
505C23×C47—416no—
506C23×C47—816no—
507C23×C47—88no—
508C23×C47H(5,𝔽2)18yes—
509C23×C47C2512yes—
510C23×C47C2512yes—
511C23×C47C2514yes—
512C23×C47C2514yes—
513C23×C47C2514yes—
514C23×C47C2511yescharacteristic
515C22×D47—24no—
516C22×D47—24no—
517C22×D47—22no—
518C22×D47—22no—
519C22×D47—24no—
520C22×D47—216no—
521C22×D47—24no—
522C22×D47—216no—
523C22×D47—24no—
524C22×D47—24no—
525C22×D47—28no—
526C22×D47—216no—
527C22×D47—28no—
528C22×D47—48no—
529C22×D47—48no—
530C22×D47—48no—
531C22×D47—48no—
532C22×D47—48no—
533C22×D47—44no—
534C22×D47—48no—
535C22×D47—432no—
536C22×D47—416no—
537C22×D47—432no—
538C22×D47—4128no—
539C22×D47—416no—
540C22×D47—88no—
541C22×D47H(5,𝔽2)14yes—
542C22×D47C2514yes—
543C22×D47C2512yes—
544C22×D47C2512yes—
545C22×D47C2512yes—
546D4×C47—216no—
547D4×C47—216no—
548D4×C47—216no—
549D4×C47—44no—
550D4×C47—44no—
551D4×C47—48no—
552D4×C47—48no—
553D4×C47—48no—
554D4×C47—48no—
555C2×C4×C47—22no—
556C2×C4×C47—24no—
557C2×C4×C47—24no—
558C2×C4×C47—24no—
559C2×C4×C47—48no—
560C2×C4×C47—48no—
561C2×C4×C47C2514yes—
562C2×C4×C47C2512yes—
563C2×C4×C47C2514yes—
564C2×C4×C47C2514yes—
565C22⋊D47—216no—
566C22⋊D47—216no—
567C22⋊D47—216no—
568C22⋊D47—48no—
569C22⋊D47—44no—
570C22⋊D47—44no—
571C22⋊D47—48no—
572C22⋊D47—48no—
573C22⋊D47—48no—
574C22⋊D47—48no—
575C22⋊D47—48no—
576C22⋊D47—48no—
577C22⋊D47—48no—
578C22⋊D47—48no—
579C2×Dic47—24no—
580C2×Dic47—24no—
581C2×Dic47—24no—
582C2×Dic47—22no—
583C2×Dic47—24no—
584C2×Dic47—216no—
585C2×Dic47—24no—
586C2×Dic47—48no—
587C2×Dic47—48no—
588C2×Dic47—48no—
589C2×Dic47—44no—
590C2×Dic47C2514yes—
591C2×Dic47C2514yes—
592C2×Dic47C2514yes—
593C2×Dic47C2514yes—
594C2×Dic47C2514yes—
595C2×Dic47C2512yes—
596D188—44no—
597D188—48no—
598C4×D47—28no—
599C4×D47—48no—
600C4×D47—48no—
601Dic94—48no—
602Dic94—44no—
603C2×#3532—471nomaximal, Sylow
604C22×C47—24no—
605C22×C47—24no—
606C22×C47—216no—
607C22×C47—24no—
608C22×C47—24no—
609C22×C47—22no—
610C22×C47—24no—
611C22×C47—24no—
612C22×C47—24no—
613C22×C47—24no—
614C22×C47—22no—
615C22×C47—24no—
616C22×C47—24no—
617C22×C47—416no—
618C22×C47—44no—
619C22×C47—44no—
620C22×C47—48no—
621C22×C47—48no—
622C22×C47—816no—
623C22×C47—88no—
624C22×C47C2×H(5,𝔽2)12yes—
625C22×C47C2×H(5,𝔽2)18yes—
626C22×C47C2×H(5,𝔽2)14yes—
627C22×C47C2611yescharacteristic
628C2×D47—24no—
629C2×D47—28no—
630C2×D47—24no—
631C2×D47—22no—
632C2×D47—22no—
633C2×D47—24no—
634C2×D47—24no—
635C2×D47—24no—
636C2×D47—24no—
637C2×D47—432no—
638C2×D47—416no—
639C2×D47—432no—
640C2×D47—416no—
641C2×D47—48no—
642C2×D47—44no—
643C2×D47—44no—
644C2×D47—88no—
645C2×D47C2×H(5,𝔽2)14yes—
646C4×C47—22no—
647C4×C47—24no—
648C4×C47—24no—
649C4×C47—24no—
650Dic47—24no—
651Dic47—24no—
652Dic47—24no—
653Dic47—22no—
654Dic47—24no—
655Dic47—24no—
656#3532—4732no—
657C2×H(3,𝔽4)—471no—
658C2×#560—471no—
659C2×#560—472no—
660C2×#551—471no—
661C2×#551—472no—
662C2×#546—472no—
663C2×#546—472no—
664C2×#546—472no—
665C2×D42—472no—
666C2×D42D4711yescharacteristic, complemented
667C2×#538—472no—
668C2×#538—472no—
669C2×#538—472no—
670C2×#535—471no—
671C2×#535—472no—
672C2×#534—472no—
673C2×#534—471no—
674C22×#120—472no—
675C22×#120—471no—
676C2×C47—28no—
677C2×C47—42no—
678C2×C47—42no—
679C2×C47—44no—
680C2×C47—44no—
681C2×C47#353214yescomplemented
682C2×C47C22×H(5,𝔽2)11yescharacteristic
683C2×C47C22×H(5,𝔽2)12yes—
684D47—24no—
685D47—44no—
686D47—42no—
687D47—42no—
688C26—471no—
689C22×#41—472no—
690C22×#41—471no—
691C23×D4—472no—
692C23×D4—472no—
693C23×D4—471no—
694C23×D4—471no—
695C23×D4—472no—
696C23×D4C2×D4712yescomplemented
697C23×D4C2×D4712yescomplemented
698H(3,𝔽4)—4716no—
699#560—4716no—
700#560—4732no—
701#551—4716no—
702#551—4732no—
703#546—4732no—
704#546—4732no—
705#546—4732no—
706D42—4732no—
707D42C2×D47116yescomplemented
708#538—4732no—
709#538—4732no—
710#538—4732no—
711#535—4716no—
712#535—4732no—
713#534—4732no—
714#534—4716no—
715C2×#127—471no—
716C2×#127—472no—
717C2×#127C2×D4711yescharacteristic, complemented
718C2×#126—472no—
719C2×#126—472no—
720C2×#126—472no—
721C2×#126—472no—
722C2×#124—471no—
723C2×#124—472no—
724C2×#124—472no—
725C2×#124—472no—
726C2×#124—472no—
727C2×#124—472no—
728C2×#124—471no—
729C2×#123—472no—
730C2×#123—472no—
731C2×#123—471no—
732C2×#123—472no—
733C2×#123—472no—
734C2×#123—472no—
735C2×#123—472no—
736C2×#123—471no—
737C2×#123—472no—
738C2×#123—472no—
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—471no—
758C2×#120—472no—
759C2×#120—471no—
760C2×#120—472no—
761C2×#120—472no—
762C2×#120—472no—
763C2×#120—472no—
764C2×#120—472no—
765C2×#120—472no—
766C2×#120—472no—
767C2×#120—472no—
768C2×#120—472no—
769C2×#120—472no—
770C2×#120—471no—
771C2×#120—4732no—
772C2×#120—472no—
773C2×#120—4716no—
774C2×#120—472no—
775C2×#120—471no—
776C2×#120C2×D4711yescharacteristic
777C2×#120C2×D4712yescomplemented
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×D4C2×D4712yescomplemented
785C2×#117—472no—
786C2×#117—471no—
787C22×C22⋊C4—472no—
788C22×C22⋊C4—472no—
789C22×C22⋊C4—472no—
790C22×C22⋊C4—472no—
791C22×C22⋊C4—471no—
792C22×C22⋊C4—472no—
793C22×C22⋊C4—471no—
794C47C2×#353211yescharacteristic, complemented, Sylow
795C25—472no—
796C25—471no—
797C25—472no—
798C25—471no—
799C25—471no—
800C25—478no—
801C25—1888no—
802C25—1884no—
803C25C22×D4711yescharacteristic
804C25C22×D4712yes—
805C25C22×D4711yescharacteristic, complemented
806C2×#41—4716no—
807C2×#41—478no—
808C2×#41—1888no—
809C2×#41—1884no—
810C22×Q8—472no—
811C22×Q8—471no—
812C22×D4—48no—
813C22×D4—48no—
814C22×D4—472no—
815C22×D4—472no—
816C22×D4—472no—
817C22×D4—471no—
818C22×D4—472no—
819C22×D4—472no—
820C22×D4—472no—
821C22×D4—472no—
822C22×D4—472no—
823C22×D4—471no—
824C22×D4—472no—
825C22×D4—472no—
826C22×D4—472no—
827C22×D4—4716no—
828C22×D4—4716no—
829C22×D4—472no—
830C22×D4—478no—
831C22×D4—478no—
832C22×D4—4716no—
833C22×D4—472no—
834C22×D4—471no—
835C22×D4—1884no—
836C22×D4—1888no—
837C22×D4—1888no—
838C22×D4—1884no—
839C22×D4—1888no—
840C22×D4C22×D4712yes—
841C22×D4C22×D4712yes—
842C22×D4C22×D4712yes—
843C22×D4C22×D4712yes—
844C22×D4C22×D4712yes—
845C22×D4C22×D4711yescharacteristic
846C22×D4C22×D47116yescomplemented
847C22×D4C22×D4712yescomplemented
848C22×D4C22×D4711yescharacteristic, complemented
849C22×D4C22×D4712yescomplemented
850C22×D4C22×D47116yescomplemented
851C23×C4—472no—
852C23×C4—472no—
853C23×C4—472no—
854C23×C4—472no—
855C23×C4—471no—
856C23×C4—471no—
857C23×C4—472no—
858C23×C4—472no—
859C23×C4C22×D4712yes—
860C23×C4C22×D4712yescomplemented
861#127—478no—
862#127—4716no—
863#127C22×D4718yescomplemented
864#126—4716no—
865#126—4716no—
866#126—4716no—
867#126—4716no—
868#124—478no—
869#124—4716no—
870#124—4716no—
871#124—4716no—
872#124—4716no—
873#124—4716no—
874#124—478no—
875#123—4716no—
876#123—4716no—
877#123—478no—
878#123—4716no—
879#123—4716no—
880#123—4716no—
881#123—4716no—
882#123—478no—
883#123—4716no—
884#123—4716no—
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—478no—
904#120—4716no—
905#120—478no—
906#120—4716no—
907#120—4716no—
908#120—4716no—
909#120—4716no—
910#120—4716no—
911#120—4716no—
912#120—4716no—
913#120—4716no—
914#120—4716no—
915#120—4716no—
916#120—478no—
917#120—4716no—
918#120—4716no—
919#120—478no—
920#120C22×D4718yes—
921#120C22×D47116yescomplemented
922#120C22×D4718yescomplemented
923C4×D4—4716no—
924C4×D4—4716no—
925C4×D4—4716no—
926C4×D4—4716no—
927C4×D4—4716no—
928C4×D4C22×D47116yescomplemented
929#117—4716no—
930#117—478no—
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⋊C4—472no—
939C2×C4⋊C4C22×D4712yescomplemented
940C2×C22⋊C4—472no—
941C2×C22⋊C4—472no—
942C2×C22⋊C4—472no—
943C2×C22⋊C4—472no—
944C2×C22⋊C4—472no—
945C2×C22⋊C4—471no—
946C2×C22⋊C4—4716no—
947C2×C22⋊C4—471no—
948C2×C22⋊C4—472no—
949C2×C22⋊C4—472no—
950C2×C22⋊C4—4716no—
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—472no—
962C2×C22⋊C4—472no—
963C2×C22⋊C4—472no—
964C2×C22⋊C4—472no—
965C2×C22⋊C4—4716no—
966C2×C22⋊C4—4716no—
967C2×C22⋊C4—472no—
968C2×C22⋊C4—478no—
969C2×C22⋊C4—4716no—
970C2×C22⋊C4—478no—
971C2×C22⋊C4C22×D4712yes—
972C2×C22⋊C4C22×D4711yescharacteristic
973C2×C22⋊C4C22×D4711yescharacteristic, complemented
974C2×C22⋊C4C22×D4712yescomplemented
975C2×C22⋊C4C22×D4712yescomplemented
976C2×C42—471no—
977C2×C42—472no—
978C2×C42—472no—
979C2×C42C22×D4711yescharacteristic, complemented
980C24—28no—
981C24—28no—
982C24—42no—
983C24—44no—
984C24—44no—
985C24—44no—
986C24—42no—
987C24—471no—
988C24—472no—
989C24—471no—
990C24—471no—
991C24—478no—
992C24—474no—
993C24—478no—
994C24—474no—
995C24—474no—
996C24—944no—
997C24—948no—
998C24—944no—
999C24—948no—
1000C24—948no—
1001C24—1884no—
1002C24—1884no—
1003C24—1884no—
1004C24—1884no—
1005C24—1882no—
1006C24—1884no—
1007C24—1884no—
1008C24—18832no—
1009C24—18816no—
1010C24—18864no—
1011C24C23×D4711yescharacteristic
1012C24C23×D4711yescharacteristic
1013C24C23×D4712yes—
1014C24C23×D4712yes—
1015C24C23×D4714yes—
1016C24C23×D4712yes—
1017C24C23×D4718yes—
1018C24C23×D4714yescomplemented
1019#41—18832no—
1020#41—18816no—
1021C2×Q8—478no—
1022C2×Q8—474no—
1023C2×Q8—1882no—
1024C2×Q8—1884no—
1025C2×D4—28no—
1026C2×D4—28no—
1027C2×D4—28no—
1028C2×D4—44no—
1029C2×D4—44no—
1030C2×D4—44no—
1031C2×D4—44no—
1032C2×D4—42no—
1033C2×D4—42no—
1034C2×D4—432no—
1035C2×D4—432no—
1036C2×D4—478no—
1037C2×D4—478no—
1038C2×D4—478no—
1039C2×D4—474no—
1040C2×D4—478no—
1041C2×D4—478no—
1042C2×D4—478no—
1043C2×D4—478no—
1044C2×D4—478no—
1045C2×D4—474no—
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—1882no—
1056C2×D4—1884no—
1057C2×D4—18816no—
1058C2×D4—1882no—
1059C2×D4—1882no—
1060C2×D4—1884no—
1061C2×D4—1884no—
1062C2×D4—1884no—
1063C2×D4—1884no—
1064C2×D4—1884no—
1065C2×D4—1884no—
1066C2×D4—1884no—
1067C2×D4—18832no—
1068C2×D4—1884no—
1069C2×D4—1884no—
1070C2×D4—18832no—
1071C2×D4—18816no—
1072C2×D4—18832no—
1073C2×D4C23×D4718yes—
1074C2×D4C23×D4718yes—
1075C2×D4C23×D4718yes—
1076C2×D4C23×D4718yes—
1077C2×D4C23×D4718yes—
1078C2×D4C23×D4714yes—
1079C2×D4C23×D4718yescomplemented
1080C2×D4C23×D4714yescomplemented
1081C2×D4C23×D4718yescomplemented
1082C22×C4—44no—
1083C22×C4—44no—
1084C22×C4—478no—
1085C22×C4—472no—
1086C22×C4—472no—
1087C22×C4—472no—
1088C22×C4—472no—
1089C22×C4—471no—
1090C22×C4—472no—
1091C22×C4—478no—
1092C22×C4—478no—
1093C22×C4—478no—
1094C22×C4—474no—
1095C22×C4—474no—
1096C22×C4—478no—
1097C22×C4—478no—
1098C22×C4—944no—
1099C22×C4—948no—
1100C22×C4—1884no—
1101C22×C4—1884no—
1102C22×C4—1882no—
1103C22×C4—1884no—
1104C22×C4—1884no—
1105C22×C4—1884no—
1106C22×C4C23×D4711yescharacteristic
1107C22×C4C23×D4712yes—
1108C22×C4C23×D4712yes—
1109C22×C4C23×D4712yes—
1110C22×C4C23×D4718yes—
1111C22×C4C23×D4718yescomplemented
1112C4⋊C4—478no—
1113C4⋊C4—478no—
1114C4⋊C4—478no—
1115C4⋊C4—478no—
1116C4⋊C4—478no—
1117C4⋊C4—478no—
1118C4⋊C4—478no—
1119C4⋊C4—478no—
1120C4⋊C4C23×D4718yescomplemented
1121C22⋊C4—478no—
1122C22⋊C4—478no—
1123C22⋊C4—478no—
1124C22⋊C4—478no—
1125C22⋊C4—478no—
1126C22⋊C4—474no—
1127C22⋊C4—474no—
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⋊C4—478no—
1144C22⋊C4—478no—
1145C22⋊C4C23×D4718yes—
1146C22⋊C4C23×D4714yes—
1147C22⋊C4C23×D4714yescomplemented
1148C22⋊C4C23×D4718yescomplemented
1149C22⋊C4C23×D4718yescomplemented
1150C42—474no—
1151C42—478no—
1152C42—478no—
1153C42C23×D4714yescomplemented
1154C23—24no—
1155C23—24no—
1156C23—24no—
1157C23—22no—
1158C23—22no—
1159C23—24no—
1160C23—24no—
1161C23—24no—
1162C23—24no—
1163C23—24no—
1164C23—24no—
1165C23—216no—
1166C23—24no—
1167C23—216no—
1168C23—44no—
1169C23—48no—
1170C23—48no—
1171C23—48no—
1172C23—44no—
1173C23—416no—
1174C23—816no—
1175C23—88no—
1176C23—474no—
1177C23—472no—
1178C23—474no—
1179C23—472no—
1180C23—472no—
1181C23—948no—
1182C23—9416no—
1183C23—948no—
1184C23—944no—
1185C23—942no—
1186C23—942no—
1187C23—944no—
1188C23—944no—
1189C23—9416no—
1190C23—9416no—
1191C23—944no—
1192C23—944no—
1193C23—944no—
1194C23—3768no—
1195C23—1888no—
1196C23—1888no—
1197C23—1888no—
1198C23—1888no—
1199C23—1884no—
1200C23—1888no—
1201C23—1888no—
1202C23—18832no—
1203C23—18832no—
1204C23—18816no—
1205C23—188128no—
1206C23—18816no—
1207C23#1309406918yes—
1208C23C24×D4712yes—
1209C23C24×D4712yes—
1210C23C24×D4714yes—
1211C23C24×D4714yes—
1212C23C24×D4714yes—
1213C23C24×D4711yescharacteristic
1214Q8—1884no—
1215Q8—1888no—
1216D4—216no—
1217D4—216no—
1218D4—216no—
1219D4—48no—
1220D4—48no—
1221D4—48no—
1222D4—48no—
1223D4—44no—
1224D4—44no—
1225D4—9416no—
1226D4—9416no—
1227D4—9416no—
1228D4—1884no—
1229D4—1888no—
1230D4—1884no—
1231D4—1884no—
1232D4—1888no—
1233D4—1888no—
1234D4—1888no—
1235D4—1888no—
1236D4—1888no—
1237D4—1888no—
1238D4—1888no—
1239D4—1888no—
1240D4—1888no—
1241C2×C4—22no—
1242C2×C4—24no—
1243C2×C4—24no—
1244C2×C4—24no—
1245C2×C4—48no—
1246C2×C4—48no—
1247C2×C4—474no—
1248C2×C4—474no—
1249C2×C4—474no—
1250C2×C4—474no—
1251C2×C4—472no—
1252C2×C4—474no—
1253C2×C4—948no—
1254C2×C4—942no—
1255C2×C4—944no—
1256C2×C4—944no—
1257C2×C4—944no—
1258C2×C4—944no—
1259C2×C4—9416no—
1260C2×C4—944no—
1261C2×C4—1888no—
1262C2×C4—1888no—
1263C2×C4—1884no—
1264C2×C4—1888no—
1265C2×C4—1888no—
1266C2×C4—1888no—
1267C2×C4C24×D4712yes—
1268C2×C4C24×D4714yes—
1269C2×C4C24×D4714yes—
1270C2×C4C24×D4714yes—
1271C22—216no—
1272C22—24no—
1273C22—24no—
1274C22—24no—
1275C22—22no—
1276C22—22no—
1277C22—24no—
1278C22—24no—
1279C22—24no—
1280C22—24no—
1281C22—24no—
1282C22—24no—
1283C22—24no—
1284C22—416no—
1285C22—44no—
1286C22—48no—
1287C22—44no—
1288C22—48no—
1289C22—816no—
1290C22—88no—
1291C22—474no—
1292C22—948no—
1293C22—944no—
1294C22—942no—
1295C22—942no—
1296C22—944no—
1297C22—944no—
1298C22—944no—
1299C22—944no—
1300C22—944no—
1301C22—3768no—
1302C22—18832no—
1303C22—18832no—
1304C22—18816no—
1305C22—18816no—
1306C22—1884no—
1307C22—1888no—
1308C22—1884no—
1309C22H(5,𝔽2)×D4712yes—
1310C22C2×#1309406918yes—
1311C22C2×#1309406914yes—
1312C22C25×D4711yescharacteristic
1313C4—22no—
1314C4—24no—
1315C4—24no—
1316C4—24no—
1317C4—942no—
1318C4—944no—
1319C4—944no—
1320C4—944no—
1321C4—944no—
1322C4—944no—
1323C2—28no—
1324C2—42no—
1325C2—44no—
1326C2—42no—
1327C2—44no—
1328C2—944no—
1329C2—1882no—
1330C2—1884no—
1331C2—1882no—
1332C2#2025753814yesdirect product factor
1333C2C2×H(5,𝔽2)×D4711yescharacteristic
1334C2C22×#1309406912yes—
subgroupG/H
centerC23C24×D47
commutator, cosocleC22×C47C26
FrattiniC22C25×D47
FittingC2×D42×C47C2
socleC23×C47C25
hypercenterC2×D42D47
hypocenterC47C2×#3532
LCSG ▷ C22×C47 ▷ C47
UCSC1 ◁ C23 ◁ C2×D42

Complements

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

NH ≅ G/Ntype
1. #20257538C2direct (N × H)
2. C2×#15689866C2semidirect
3. C2×#15689861C2semidirect
4. C2×#15689860C2semidirect
5. C2×#15689804C2semidirect
6. C2×#15689802C2semidirect
7. C2×#15689767C2semidirect
8. C2×#15689762C2semidirect
9. C2×#15689760C2semidirect
10. C2×D4×C22⋊D47C2semidirect
11. C2×#15689710C2semidirect
12. C2×#15689706C2semidirect
13. C2×#15689705C2semidirect
14. C2×#15689688C2semidirect
15. C2×#15689686C2semidirect
16. C2×#15689683C2semidirect
17. C2×#15689682C2semidirect
18. C22×#13093992C2semidirect
19. C2×#120×D47C2semidirect
20. C2×D42×C47C2semidirect
21. C25×D47C22semidirect
22. C22×#10625352C22semidirect
23. C22×#10625352C22semidirect
24. C23×C22⋊D47C22semidirect
25. C23×C22⋊D47C22semidirect
26. C23×C22⋊D47C22semidirect
27. C22×D4×D47C22semidirect
28. C22×D4×D47C22semidirect
29. #15689866C22semidirect
30. #15689861C22semidirect
31. #15689860C22semidirect
32. #15689804C22semidirect
33. #15689802C22semidirect
34. #15689767C22semidirect
35. #15689762C22semidirect
36. #15689760C22semidirect
37. D4×C22⋊D47C22semidirect
38. #15689710C22semidirect
39. #15689706C22semidirect
40. #15689705C22semidirect
41. #15689688C22semidirect
42. #15689686C22semidirect
43. #15689683C22semidirect
44. #15689682C22semidirect
45. C2×#13094020C22semidirect
46. C2×#13094020C22semidirect
47. C2×#13094019C22semidirect
48. C2×#13094019C22semidirect
49. C2×#13094018C22semidirect
50. C2×#13094017C22semidirect
51. C2×#13094012C22semidirect
52. C2×#13094011C22semidirect
53. C2×#13094011C22semidirect
54. C2×#13094010C22semidirect
55. C2×#13094010C22semidirect
56. C2×#13094010C22semidirect
57. C2×#13094010C22semidirect
58. C2×#13094009C22semidirect
59. C2×#13094008C22semidirect
60. C2×#13094008C22semidirect
61. C2×#13094007C22semidirect
62. C2×#13094007C22semidirect
63. C2×#13094006C22semidirect
64. C2×#13094005C22semidirect
65. C2×#13094005C22semidirect
66. C2×#13094005C22semidirect
67. C2×#13094005C22semidirect
68. C2×#13094003C22semidirect
69. C2×#13094002C22semidirect
70. C2×#13094001C22semidirect
71. C2×#13093998C22semidirect
72. C2×#13093997C22semidirect
73. C2×#13093997C22semidirect
74. C2×#13093996C22semidirect
75. C2×#13093996C22semidirect
76. C2×#13093996C22semidirect
77. C2×#13093996C22semidirect
78. C2×#13093996C22semidirect
79. C2×#13093996C22semidirect
80. C2×#13093996C22semidirect
81. C2×#13093996C22semidirect
82. C2×#13093995C22semidirect
83. C2×#13093995C22semidirect
84. C2×#13093994C22semidirect
85. C2×#13093994C22semidirect
86. C2×#13093993C22semidirect
87. C2×#13093993C22semidirect
88. C2×#13093993C22semidirect
89. 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. C2×#13093992C22semidirect
101. C2×#13093992C22semidirect
102. #120×D47C22semidirect
103. C2×D4×Dic47C22semidirect
104. C2×D4×Dic47C22semidirect
105. C2×C4×C22⋊D47C22semidirect
106. C2×C4×C22⋊D47C22semidirect
107. C2×(C22⋊D47)⋊C4C22semidirect
108. C2×#13093981C22semidirect
109. C2×#13093980C22semidirect
110. C22×C22⋊Dic47C22semidirect
111. C22×C22⋊Dic47C22semidirect
112. C22×(C2×D47)⋊C4C22semidirect
113. C22×(C2×D47)⋊C4C22semidirect
114. C2×C22⋊C4×D47C22semidirect
115. C2×C22⋊C4×D47C22semidirect
116. C2×C22⋊C4×D47C22semidirect
117. C23×D4×C47C22semidirect
118. C23×D4×C47C22semidirect
119. D42×C47C22semidirect
120. C2×#127×C47C22semidirect
121. C2×#121×C47C22semidirect
122. C2×#121×C47C22semidirect
124. C2×#120×C47C22semidirect
125. C2×#120×C47C22semidirect
126. C2×C4×D4×C47C22semidirect
134. C24×D47C23semidirect
137. C2×#10625352C23semidirect
138. C2×#10625352C23semidirect
139. C22×Dic94C23semidirect
140. C22×Dic94C23semidirect
158. C22×C22⋊D47C23semidirect
159. C22×C22⋊D47C23semidirect
160. C22×C22⋊D47C23semidirect
161. C22×C22⋊D47C23semidirect
162. C22×C22⋊D47C23semidirect
165. C2×D4×D47C23semidirect
166. C2×D4×D47C23semidirect
169. C23×Dic47C23semidirect
170. C23×Dic47C23semidirect
171. C23×Dic47C23semidirect
174. C22×C4×D47C23semidirect
175. #13094020C23semidirect
176. #13094020C23semidirect
177. #13094019C23semidirect
178. #13094019C23semidirect
179. #13094018C23semidirect
180. #13094017C23semidirect
181. #13094012C23semidirect
182. #13094011C23semidirect
183. #13094011C23semidirect
184. #13094010C23semidirect
185. #13094010C23semidirect
186. #13094010C23semidirect
187. #13094010C23semidirect
188. #13094009C23semidirect
189. #13094008C23semidirect
190. #13094008C23semidirect
191. #13094007C23semidirect
192. #13094007C23semidirect
193. #13094006C23semidirect
194. #13094005C23semidirect
195. #13094005C23semidirect
196. #13094005C23semidirect
197. #13094005C23semidirect
198. #13094003C23semidirect
199. #13094002C23semidirect
200. #13094001C23semidirect
201. #13093998C23semidirect
202. #13093997C23semidirect
203. #13093997C23semidirect
204. #13093996C23semidirect
205. #13093996C23semidirect
206. #13093996C23semidirect
207. #13093996C23semidirect
208. #13093996C23semidirect
209. #13093996C23semidirect
210. #13093996C23semidirect
211. #13093996C23semidirect
212. #13093995C23semidirect
213. #13093995C23semidirect
214. #13093994C23semidirect
215. #13093994C23semidirect
216. #13093993C23semidirect
217. #13093993C23semidirect
218. #13093993C23semidirect
219. #13093993C23semidirect
221. #13093992C23semidirect
222. #13093992C23semidirect
223. #13093992C23semidirect
224. #13093992C23semidirect
225. #13093992C23semidirect
226. #13093992C23semidirect
227. #13093992C23semidirect
228. #13093992C23semidirect
229. #13093992C23semidirect
230. #13093992C23semidirect
231. D4×Dic47C23semidirect
232. D4×Dic47C23semidirect
233. C4×C22⋊D47C23semidirect
234. C4×C22⋊D47C23semidirect
235. (C22⋊D47)⋊C4C23semidirect
236. #13093981C23semidirect
237. #13093980C23semidirect
238. C2×C4⋊Dic47C23semidirect
239. C2×C4⋊Dic47C23semidirect
240. C2×Dic47⋊C4C23semidirect
241. C2×Dic47⋊C4C23semidirect
242. C2×Dic47⋊C4C23semidirect
243. C2×Dic47⋊C4C23semidirect
244. C2×Dic47⋊C4C23semidirect
245. C2×Dic47⋊C4C23semidirect
252. C2×C22⋊Dic47C23semidirect
253. C2×C22⋊Dic47C23semidirect
254. C2×C22⋊Dic47C23semidirect
255. C2×C22⋊Dic47C23semidirect
256. C2×C22⋊Dic47C23semidirect
257. C2×C22⋊Dic47C23semidirect
258. C2×C22⋊Dic47C23semidirect
259. C2×C22⋊Dic47C23semidirect
271. C2×(C2×D47)⋊C4C23semidirect
272. C2×(C2×D47)⋊C4C23semidirect
273. C2×(C2×D47)⋊C4C23semidirect
274. C22⋊C4×D47C23semidirect
275. C22⋊C4×D47C23semidirect
276. C22⋊C4×D47C23semidirect
277. C2×C4×Dic47C23semidirect
278. C2×C4×Dic47C23semidirect
279. C2×C4×Dic47C23semidirect
282. C25×C47C23semidirect
291. C22×D4×C47C23semidirect
292. C22×D4×C47C23semidirect
293. C22×D4×C47C23semidirect
294. C22×D4×C47C23semidirect
295. C22×D4×C47C23semidirect
297. C23×C4×C47C23semidirect
298. #127×C47C23semidirect
299. #121×C47C23semidirect
300. #121×C47C23semidirect
302. #120×C47C23semidirect
303. #120×C47C23semidirect
304. C4×D4×C47C23semidirect
305. C2×C4⋊C4×C47C23semidirect
308. C2×C22⋊C4×C47C23semidirect
309. C2×C22⋊C4×C47C23semidirect
310. C2×C22⋊C4×C47C23semidirect
311. C2×C42×C47C23semidirect
326. C24×C47C24semidirect
368. C2×D4×C47C24semidirect
369. C2×D4×C47C24semidirect
370. C2×D4×C47C24semidirect
378. C22×C4×C47C24semidirect
408. C2×C22⋊D47C24semidirect
409. C2×C22⋊D47C24semidirect
423. C22×Dic47C24semidirect
424. C22×Dic47C24semidirect
425. C22×Dic47C24semidirect
439. C2×C4×D47C24semidirect
442. C2×Dic94C24semidirect
443. C2×Dic94C24semidirect
444. C4⋊C4×C47C24semidirect
447. C22⋊C4×C47C24semidirect
448. C22⋊C4×C47C24semidirect
449. C22⋊C4×C47C24semidirect
450. C42×C47C24semidirect
457. C22⋊Dic47C24semidirect
458. C22⋊Dic47C24semidirect
459. C22⋊Dic47C24semidirect
460. C22⋊Dic47C24semidirect
461. C22⋊Dic47C24semidirect
462. C22⋊Dic47C24semidirect
474. (C2×D47)⋊C4C24semidirect
475. C4⋊Dic47C24semidirect
476. C4⋊Dic47C24semidirect
477. Dic47⋊C4C24semidirect
478. Dic47⋊C4C24semidirect
479. Dic47⋊C4C24semidirect
480. Dic47⋊C4C24semidirect
481. Dic47⋊C4C24semidirect
482. Dic47⋊C4C24semidirect
483. C4×Dic47C24semidirect
484. C4×Dic47C24semidirect
485. C4×Dic47C24semidirect
666. C2×D42D47semidirect
681. C2×C47#3532semidirect
696. C23×D4C2×D47semidirect
697. C23×D4C2×D47semidirect
707. D42C2×D47semidirect
717. C2×#127C2×D47semidirect
755. C2×#121C2×D47semidirect
756. C2×#121C2×D47semidirect
777. C2×#120C2×D47semidirect
778. C2×#120C2×D47semidirect
784. C2×C4×D4C2×D47semidirect
794. C47C2×#3532semidirect
805. C25C22×D47semidirect
846. C22×D4C22×D47semidirect
847. C22×D4C22×D47semidirect
848. C22×D4C22×D47semidirect
849. C22×D4C22×D47semidirect
850. C22×D4C22×D47semidirect
860. C23×C4C22×D47semidirect
863. #127C22×D47semidirect
901. #121C22×D47semidirect
902. #121C22×D47semidirect
921. #120C22×D47semidirect
922. #120C22×D47semidirect
928. C4×D4C22×D47semidirect
939. C2×C4⋊C4C22×D47semidirect
973. C2×C22⋊C4C22×D47semidirect
974. C2×C22⋊C4C22×D47semidirect
975. C2×C22⋊C4C22×D47semidirect
979. C2×C42C22×D47semidirect
1018. C24C23×D47semidirect
1079. C2×D4C23×D47semidirect
1080. C2×D4C23×D47semidirect
1081. C2×D4C23×D47semidirect
1111. C22×C4C23×D47semidirect
1120. C4⋊C4C23×D47semidirect
1147. C22⋊C4C23×D47semidirect
1148. C22⋊C4C23×D47semidirect
1149. C22⋊C4C23×D47semidirect
1153. C42C23×D47semidirect
1332. C2#20257538direct (N × H)

Maximal subgroups

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

subgroupindex
#202575382
C2×#156898662
C2×#156898612
C2×#156898602
C2×#156898042
C2×#156898022
C2×#156897672
C2×#156897622
C2×#156897602
C2×D4×C22⋊D472
C2×#156897102
C2×#156897062
C2×#156897052
C2×#156896882
C2×#156896862
C2×#156896832
C2×#156896822
C22×#130939922
C2×#120×D472
C2×D42×C472
C2×#353247