Finite Group Databasebeta

← Group #11784937

Character table — Group #11784937

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102
size11112222222222222222224444444444444444444444888888888888888888881212121212121212121212122424242424242424242424242424242424243636363636363636
order124422233444666612121212121222344666666661212121212121212126666666666121212121212121212128888242424242424242444448812121212121212122424242422224444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1
χ41111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ51111111111111111111111-1-11-1-111111111111111111-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-1111111111111-1-111-1-1-1-1-1-11111-1-1-1-111-1-111-1-1
χ61111111111111111111111-1-11-1-111111111111111111-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-1111111111111-1-1-1-111-1-1-1-1-1-1-1-11111-1-111-1-111
χ71111111111111111111111-1-11-1-111111111111111111-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111111111-1-1-1-1-1-111-1-111
χ81111111111111111111111-1-11-1-111111111111111111-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111-1-1-1-1111111-1-111-1-1
χ911-1-11-1-11111-111-1-111-1-1-1-11-111-111-1-1-1-11-1111-111-1-1-111-1-11-111-1-111-1-11-111-1-1ii−i−iiiii−i−i−i−ii−ii−ii−iii−i−iii−i−iii−i−i1-1111-1-1-1
χ1011-1-11-1-11111-111-1-111-1-1-1-11-111-111-1-1-1-11-1111-111-1-1-111-1-11-111-1-111-1-11-111-1-1ii−i−iiiii−i−i−i−ii−i−ii−iiii−i−i−i−iii−i−iii-11-1-1-1111
χ1111-1-11-1-11111-111-1-111-1-1-1-11-111-111-1-1-1-11-1111-111-1-1-111-1-11-111-1-111-1-11-111-1-1−i−iii−i−i−i−iiiii−iii−ii−i−i−iiiii−i−iii−i−i-11-1-1-1111
χ1211-1-11-1-11111-111-1-111-1-1-1-11-111-111-1-1-1-11-1111-111-1-1-111-1-11-111-1-111-1-11-111-1-1−i−iii−i−i−i−iiiii−ii−ii−ii−i−iii−i−iii−i−iii1-1111-1-1-1
χ1311-1-11-1-11111-111-1-111-1-1-1-1-111-1111-1-1-1-11-1111-111-1-1-1-1-1111-1-1-111-1-1111-1-1-111ii−i−iiiii−i−i−i−i−iii−i−ii−i−iiiii−i−i−i−iii1-1-1-11-111
χ1411-1-11-1-11111-111-1-111-1-1-1-1-111-1111-1-1-1-11-1111-111-1-1-1-1-1111-1-1-111-1-1111-1-1-111ii−i−iiiii−i−i−i−i−ii−iii−i−i−iii−i−iiiii−i−i-1111-11-1-1
χ1511-1-11-1-11111-111-1-111-1-1-1-1-111-1111-1-1-1-11-1111-111-1-1-1-1-1111-1-1-111-1-1111-1-1-111−i−iii−i−i−i−iiiiii−ii−i−iiii−i−iii−i−i−i−iii-1111-11-1-1
χ1611-1-11-1-11111-111-1-111-1-1-1-1-111-1111-1-1-1-11-1111-111-1-1-1-1-1111-1-1-111-1-1111-1-1-111−i−iii−i−i−i−iiiiii−i−iii−iii−i−i−i−iiiii−i−i1-1-1-11-111
χ1722222222-12222-1222222-1-122-1222-12-1-1-1-1-12-1-1-1-1-1-1-122-12-1-1-1-1-1-1-12-12-1-1-1-1-1-1-10000000000000022220000-1-1-1-1-1-1-1-100000000
χ1822222222-12222-1222222-1-122-1222-12-1-1-1-1-12-1-1-1-1-1-1-122-12-1-1-1-1-1-1-12-12-1-1-1-1-1-1-100000000000000-2-2-2-200001111111100000000
χ1922222222-12222-1222222-1-1-2-2-1-2-22-12-1-1-1-1-12-1-1-1-1-1-1-12-21-21-1-11111-21-21-1-111110000000000000022-2-20000-1-1-1-1111100000000
χ2022222222-12222-1222222-1-1-2-2-1-2-22-12-1-1-1-1-12-1-1-1-1-1-1-12-21-21-1-11111-21-21-1-1111100000000000000-2-22200001111-1-1-1-100000000
χ212222222-12222-12-1-1-1-1-1-12222-122-12-12-1-1-12-1222-1-1-1-1-1-12-12-1-1-1-1-1-1-12-12-1-1-1-1-1-12222-1-1-1-1-1-1-1-1220000-1-1-1-10000000000000000
χ222222222-12222-12-1-1-1-1-1-12222-122-12-12-1-1-12-1222-1-1-1-1-1-12-12-1-1-1-1-1-1-12-12-1-1-1-1-1-1-2-2-2-211111111-2-2000011110000000000000000
χ232222222-12222-12-1-1-1-1-1-122-2-2-1-2-2-12-12-1-1-12-1222-1-1-1-1-11-21-2-1-111111-21-2-1-111112222-1-1-1-1-1-1-1-1-2-2000011110000000000000000
χ242222222-12222-12-1-1-1-1-1-122-2-2-1-2-2-12-12-1-1-12-1222-1-1-1-1-11-21-2-1-111111-21-2-1-11111-2-2-2-211111111220000-1-1-1-10000000000000000
χ2522222-2-222-2-2222-2-2-2-222220020022-2-2-2-22-2-2-2-22-2-222200002-200000000-220000000000000000000000000000000000002-2002-2
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χ272222-22-2222-2-2222222222200200-2-2-22222-2-22-2-22222-20000-2-200000000-2-200000000000000000000000000000000002-200-2200
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χ292222-2-2222-22-222-2-2-2-222222-22-22-2-22-2-2-2222-22-2-2-222-222-2-2-2222-2-2-2-2222-2-2-22200000000000000000000000000000000000000
χ302222-2-2222-22-222-2-2-2-22222-2222-2-2-22-2-2-2222-22-2-2-222-2-2-222-22-2-22222-2-22-222-2-200000000000000000000000000000000000000
χ312222-2-222-1-22-22-1-2-2-2-222-1-12-2-1-22-212111-1-121-1111-1-1-22-1-211-1-1-111-212-1-1111-1-10000000000000000000000−i3i3−i3i3−i3i3−i3i300000000
χ322222-2-222-1-22-22-1-2-2-2-222-1-12-2-1-22-212111-1-121-1111-1-1-22-1-211-1-1-111-212-1-1111-1-10000000000000000000000i3−i3i3−i3i3−i3i3−i300000000
χ332222-2-222-1-22-22-1-2-2-2-222-1-1-22-12-2-212111-1-121-1111-1-1-2-212-11-111-1-12-1-21-11-1-1110000000000000000000000−i3i3−i3i3i3−i3i3−i300000000
χ342222-2-222-1-22-22-1-2-2-2-222-1-1-22-12-2-212111-1-121-1111-1-1-2-212-11-111-1-12-1-21-11-1-1110000000000000000000000i3−i3i3−i3−i3i3−i3i300000000
χ352222-2-22-12-22-2-121111-1-1222-2-1-221-2-1-211-12-1-22-211-1-11-121-21-1-1-1111-2-12-1111-1-1000033−3−333−3−30000003−33−30000000000000000
χ362222-2-22-12-22-2-121111-1-1222-2-1-221-2-1-211-12-1-22-211-1-11-121-21-1-1-1111-2-12-1111-1-10000−3−333−3−333000000−33−330000000000000000
χ372222-2-22-12-22-2-121111-1-122-22-12-21-2-1-211-12-1-22-211-1-111-2-121-111-1-1-121-2-11-1-111000033−3−333−3−3000000−33−330000000000000000
χ382222-2-22-12-22-2-121111-1-122-22-12-21-2-1-211-12-1-22-211-1-111-2-121-111-1-1-121-2-11-1-1110000−3−333−3−3330000003−33−30000000000000000
χ3922-2-222222-2-2-22222-2-2-2-2-2-20020022222222-2-2-2-2-2-2-2-2-200002200000000-2-20000000000000000000000000000000000002-200-22
χ4022-2-222222-2-2-22222-2-2-2-2-2-20020022222222-2-2-2-2-2-2-2-2-200002200000000-2-2000000000000000000000000000000000000-22002-2
χ4122-2-22-2-22-122-22-1-2-222-2-2112-2-12-22-1-2111-112-1-11-1-111-22-1-21-11-1-1112-1-21-11-1-111000000000000002i−2i2i−2i0000−i−iii−i−iii00000000
χ4222-2-22-2-22-122-22-1-2-222-2-2112-2-12-22-1-2111-112-1-11-1-111-22-1-21-11-1-1112-1-21-11-1-11100000000000000−2i2i−2i2i0000ii−i−iii−i−i00000000
χ4322-2-22-2-22-122-22-1-2-222-2-211-22-1-222-1-2111-112-1-11-1-111-2-212-1-1111-1-1-212-1-1111-1-1000000000000002i−2i−2i2i0000−i−iiiii−i−i00000000
χ4422-2-22-2-22-122-22-1-2-222-2-211-22-1-222-1-2111-112-1-11-1-111-2-212-1-1111-1-1-212-1-1111-1-100000000000000−2i2i2i−2i0000ii−i−i−i−iii00000000
χ4522-2-22-2-2-1222-2-1211-1-111-2-22-2-12-2-121-211-1-2-122-2-1-1111-121-2-11-1-111-121-2-11-1-1112i2i−2i−2i−i−i−i−iiiii2i−2i0000−i−iii0000000000000000
χ4622-2-22-2-2-1222-2-1211-1-111-2-22-2-12-2-121-211-1-2-122-2-1-1111-121-2-11-1-111-121-2-11-1-111−2i−2i2i2iiiii−i−i−i−i−2i2i0000ii−i−i0000000000000000
χ4722-2-22-2-2-1222-2-1211-1-111-2-2-22-1-22-121-211-1-2-122-2-1-11111-2-12-1111-1-11-2-12-1111-1-12i2i−2i−2i−i−i−i−iiiii−2i2i0000ii−i−i0000000000000000
χ4822-2-22-2-2-1222-2-1211-1-111-2-2-22-1-22-121-211-1-2-122-2-1-11111-2-12-1111-1-11-2-12-1111-1-1−2i−2i2i2iiiii−i−i−i−i2i−2i0000−i−iii0000000000000000
χ4922-2-2-22-222-2222222-2-2-2-2-2-2222-2-2-2-2-22222-22-222-2-2-2-222222-2-22222-2-2-2-222-2-2-2-200000000000000000000000000000000000000
χ5022-2-2-22-222-2222222-2-2-2-2-2-2-2-2222-2-2-22222-22-222-2-2-2-22-2-2-2-2-2-2-2-2-2-2222222222200000000000000000000000000000000000000
χ5122-2-2-22-22-1-2222-122-2-2-2-21122-1-2-2-21-2-1-1-1-1121-1-1111122-12-111-1-1-1-1-21-21-1-1111100000000000000000000003−3−333−3−3300000000
χ5222-2-2-22-22-1-2222-122-2-2-2-21122-1-2-2-21-2-1-1-1-1121-1-1111122-12-111-1-1-1-1-21-21-1-111110000000000000000000000−333−3−333−300000000
χ5322-2-2-22-22-1-2222-122-2-2-2-211-2-2-122-21-2-1-1-1-1121-1-111112-21-211111112-12-1-1-1-1-1-1-100000000000000000000003−3−33−333−300000000
χ5422-2-2-22-22-1-2222-122-2-2-2-211-2-2-122-21-2-1-1-1-1121-1-111112-21-211111112-12-1-1-1-1-1-1-10000000000000000000000−333−33−3−3300000000
χ5522-2-2-22-2-12-222-12-1-11111-2-222-1-2-21-212-1-1-1-2-1-2221111-1-12-1211-1-1-1-11-21-2-1-111110000−i3−i3i3i3i3i3−i3−i3000000−i3i3i3−i30000000000000000
χ5622-2-2-22-2-12-222-12-1-11111-2-222-1-2-21-212-1-1-1-2-1-2221111-1-12-1211-1-1-1-11-21-2-1-111110000i3i3−i3−i3−i3−i3i3i3000000i3−i3−i3i30000000000000000
χ5722-2-2-22-2-12-222-12-1-11111-2-2-2-2-1221-212-1-1-1-2-1-2221111-11-21-2111111-12-12-1-1-1-1-1-10000−i3−i3i3i3i3i3−i3−i3000000i3−i3−i3i30000000000000000
χ5822-2-2-22-2-12-222-12-1-11111-2-2-2-2-1221-212-1-1-1-2-1-2221111-11-21-2111111-12-12-1-1-1-1-1-10000i3i3−i3−i3−i3−i3i3i3000000−i3i3i3−i30000000000000000
χ5922-2-2-2-22222-2222-2-222-2-2-2-200200-2-22-2-2-222-22-2222-2-220000-2200000000-2200000000000000000000000000000000002200-2-200
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χ614444444-2-2444-2-2-2-2-2-2-2-2-2-244144-2-2-2-2111-2-2-2-2-21111-2-2-2-2-2111111-2-2-2-211111100000000000000000000000000000000000000
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χ884-44i−4i000-240002-4−2i32i323−23−2i2i4i−4i00-2000000−2i32i320000023−23−2i2i000000000000000000000−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ13−ζ5+ζ7+ζ13+ζ23ζ5−ζ7−ζ13−ζ23ζ5+ζ7−ζ13+ζ23−ζ5−ζ7+ζ13−ζ23−ζ5+ζ7−ζ13−ζ23ζ5−ζ7+ζ13+ζ23−ζ5−ζ7−ζ13+ζ23ζ5+ζ7+ζ13−ζ2300000000000000000000000000
χ894-44i−4i000-240002-42i3−2i3−2323−2i2i4i−4i00-20000002i3−2i3200000−2323−2i2i0000000000000000000002ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ13−ζ5−ζ7+ζ13−ζ23ζ5+ζ7−ζ13+ζ23ζ5−ζ7−ζ13−ζ23−ζ5+ζ7+ζ13+ζ23ζ5+ζ7+ζ13−ζ23−ζ5−ζ7−ζ13+ζ23ζ5−ζ7+ζ13+ζ23−ζ5+ζ7−ζ13−ζ2300000000000000000000000000
χ904-44i−4i000-240002-42i3−2i3−2323−2i2i4i−4i00-20000002i3−2i3200000−2323−2i2i000000000000000000000−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ13ζ5+ζ7−ζ13+ζ23−ζ5−ζ7+ζ13−ζ23−ζ5+ζ7+ζ13+ζ23ζ5−ζ7−ζ13−ζ23−ζ5−ζ7−ζ13+ζ23ζ5+ζ7+ζ13−ζ23−ζ5+ζ7−ζ13−ζ23ζ5−ζ7+ζ13+ζ2300000000000000000000000000
χ914-4−4i4i00044000-4-40000−4i4i−4i4i00400000000-40000000−4i4i000000000000000000000−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ13−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ232ζ7+2ζ23−2ζ7−2ζ2300000000000000000000000000
χ924-4−4i4i00044000-4-40000−4i4i−4i4i00400000000-40000000−4i4i0000000000000000000002ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ132ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ23−2ζ7−2ζ232ζ7+2ζ2300000000000000000000000000
χ934-4−4i4i000-240002-4−2i32i3−23232i−2i−4i4i00-2000000−2i32i3200000−23232i−2i000000000000000000000−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ23ζ5+ζ7+ζ13−ζ23−ζ5−ζ7−ζ13+ζ23ζ5−ζ7+ζ13+ζ23−ζ5+ζ7−ζ13−ζ23−ζ5−ζ7+ζ13−ζ23ζ5+ζ7−ζ13+ζ23ζ5−ζ7−ζ13−ζ23−ζ5+ζ7+ζ13+ζ2300000000000000000000000000
χ944-4−4i4i000-240002-4−2i32i3−23232i−2i−4i4i00-2000000−2i32i3200000−23232i−2i0000000000000000000002ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ23−ζ5−ζ7−ζ13+ζ23ζ5+ζ7+ζ13−ζ23−ζ5+ζ7−ζ13−ζ23ζ5−ζ7+ζ13+ζ23ζ5+ζ7−ζ13+ζ23−ζ5−ζ7+ζ13−ζ23−ζ5+ζ7+ζ13+ζ23ζ5−ζ7−ζ13−ζ2300000000000000000000000000
χ954-4−4i4i000-240002-42i3−2i323−232i−2i−4i4i00-20000002i3−2i320000023−232i−2i000000000000000000000−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ23ζ5−ζ7+ζ13+ζ23−ζ5+ζ7−ζ13−ζ23ζ5+ζ7+ζ13−ζ23−ζ5−ζ7−ζ13+ζ23ζ5−ζ7−ζ13−ζ23−ζ5+ζ7+ζ13+ζ23−ζ5−ζ7+ζ13−ζ23ζ5+ζ7−ζ13+ζ2300000000000000000000000000
χ964-4−4i4i000-240002-42i3−2i323−232i−2i−4i4i00-20000002i3−2i320000023−232i−2i0000000000000000000002ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ23−ζ5+ζ7−ζ13−ζ23ζ5−ζ7+ζ13+ζ23−ζ5−ζ7−ζ13+ζ23ζ5+ζ7+ζ13−ζ23−ζ5+ζ7+ζ13+ζ23ζ5−ζ7−ζ13−ζ23ζ5+ζ7−ζ13+ζ23−ζ5−ζ7+ζ13−ζ2300000000000000000000000000
χ978-88i−8i0008-4000-8400008i−8i−4i4i00-40000000040000000−4i4i00000000000000000000000000000000000000000000000000000000000
χ988-88i−8i000-4-400044−4i34i343−43−4i4i−4i4i0020000002i3−2i3-200000−23232i−2i00000000000000000000000000000000000000000000000000000000000
χ998-88i−8i000-4-4000444i3−4i3−4343−4i4i−4i4i002000000−2i32i3-20000023−232i−2i00000000000000000000000000000000000000000000000000000000000
χ1008-8−8i8i0008-4000-840000−8i8i4i−4i00-400000000400000004i−4i00000000000000000000000000000000000000000000000000000000000
χ1018-8−8i8i000-4-400044−4i34i3−43434i−4i4i−4i0020000002i3−2i3-20000023−23−2i2i00000000000000000000000000000000000000000000000000000000000
χ1028-8−8i8i000-4-4000444i3−4i343−434i−4i4i−4i002000000−2i32i3-200000−2323−2i2i00000000000000000000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 24 (ζ24 = 1); i = ζ6.