Finite Group Databasebeta

← Group #11794342

Character table — Group #11794342

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114
size1111222222222222222222222244444444444444444444444444444444444444444444444444444444444424242424242424242424242424242424242424242424242472727272
order12222233444466666666661212121236666666668888121212121212121212121212121224242424242424242424242424242424242424242424242424242424242424242244666688881212121224242424242424244488
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1
χ411111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ5111111111111111111111111111111111111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111-1-1-1-1-1-11111-1-1-1-111-1-1
χ6111111111111111111111111111111111111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-111-1-1-1-1-1-1-1-11111-1-111
χ7111111111111111111111111111111111111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-111111111-1-1-1-1-1-111
χ8111111111111111111111111111111111111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1111111-1-1-1-1111111-1-1
χ922222222-2-2-2-22222222222-2-2-2-222222222220000-2-2-2-2-2-2-2-2-2-2-2-2-2-200000000000000000000000000000000000000000000000000000000002i−2i
χ1022222222-2-2-2-22222222222-2-2-2-222222222220000-2-2-2-2-2-2-2-2-2-2-2-2-2-20000000000000000000000000000000000000000000000000000000000−2i2i
χ112222222-1222222-1-1-1-1-12-1-12222-122-1-1-1-1-1-1-122222-1-1-1-1-1-1-1-1-12-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-10000-1-1-1-1000000000000
χ122222222-1222222-1-1-1-1-12-1-12222-122-1-1-1-1-1-1-122222-1-1-1-1-1-1-1-1-12-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2111100001111000000000000
χ132222222-1222222-1-1-1-1-12-1-12222-122-1-1-1-1-1-1-1-2-2-2-22-1-1-1-1-1-1-1-1-12-1-1-1-2-2-2-2-2-2-2-211111111111111111111111122-2-2-1-1-1-100001111000000000000
χ142222222-1222222-1-1-1-1-12-1-12222-122-1-1-1-1-1-1-1-2-2-2-22-1-1-1-1-1-1-1-1-12-1-1-1-2-2-2-2-2-2-2-2111111111111111111111111-2-22211110000-1-1-1-1000000000000
χ15222222-122222-1-122222-122-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1222-1-1-1-1-1-1-12-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000022220000-1-1-1-1-1-1-1-10000
χ16222222-122222-1-122222-122-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1222-1-1-1-1-1-1-12-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000-2-2-2-20000111111110000
χ17222222-122222-1-122222-122-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-1222-1-1-1-1-1-1-12-1-111111111-2-2-2-2-2-2-2-211111111111111110000000022-2-20000-1-1-1-111110000
χ18222222-122222-1-122222-122-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-1222-1-1-1-1-1-1-12-1-111111111-2-2-2-2-2-2-2-2111111111111111100000000-2-22200001111-1-1-1-10000
χ192222-2-2222-22-2222-2-2-2-222222222-2-222-2-2-2-220000-222-22222-2-2-2-2-2-2000000000000000000000000000000000000000000000000000000002-200
χ202222-2-2222-22-2222-2-2-2-222222222-2-222-2-2-2-220000-222-22222-2-2-2-2-2-200000000000000000000000000000000000000000000000000000000-2200
χ212222-2-222-22-22222-2-2-2-2222-2-2-2-22-2-222-2-2-2-2222-2-22-2-22-2-2-2-22222222222-2-2-2-22222-2-2-2-222222222-2-2-2-2-2-2-2-20000000000000000000000000000
χ222222-2-222-22-22222-2-2-2-2222-2-2-2-22-2-222-2-2-2-22-2-2222-2-22-2-2-2-2222222-2-2-2-22222-2-2-2-22222-2-2-2-2-2-2-2-2222222220000000000000000000000000000
χ232222-2-22-1-22-2222-111112-1-1-2-2-2-2-1-2-2-1-11111-122-2-2211-11111-1-12-1-1-12222-2-2-2-2-1-1-1-11111-1-1-1-1-1-1-1-1111111110000−i3−i3i3i30000−i3−i3i3i3000000000000
χ242222-2-22-1-22-2222-111112-1-1-2-2-2-2-1-2-2-1-11111-122-2-2211-11111-1-12-1-1-12222-2-2-2-2-1-1-1-11111-1-1-1-1-1-1-1-1111111110000i3i3−i3−i30000i3i3−i3−i3000000000000
χ252222-2-22-1-22-2222-111112-1-1-2-2-2-2-1-2-2-1-11111-1-2-222211-11111-1-12-1-1-1-2-2-2-222221111-1-1-1-111111111-1-1-1-1-1-1-1-10000−i3−i3i3i30000i3i3−i3−i3000000000000
χ262222-2-22-1-22-2222-111112-1-1-2-2-2-2-1-2-2-1-11111-1-2-222211-11111-1-12-1-1-1-2-2-2-222221111-1-1-1-111111111-1-1-1-1-1-1-1-10000i3i3−i3−i30000−i3−i3i3i3000000000000
χ272222-2-2-12-22-22-1-12-2-2-2-2-1221111-111-1-11111-122-2-2-1-2-221111-1-1-12-1-1-1-1-1-111112222-2-2-2-2-1-1-1-1-1-1-1-111111111000000000000000033−3−333−3−30000
χ282222-2-2-12-22-22-1-12-2-2-2-2-1221111-111-1-11111-122-2-2-1-2-221111-1-1-12-1-1-1-1-1-111112222-2-2-2-2-1-1-1-1-1-1-1-1111111110000000000000000−3−333−3−3330000
χ292222-2-2-12-22-22-1-12-2-2-2-2-1221111-111-1-11111-1-2-222-1-2-221111-1-1-12-1-11111-1-1-1-1-2-2-2-2222211111111-1-1-1-1-1-1-1-1000000000000000033−3−3−3−3330000
χ302222-2-2-12-22-22-1-12-2-2-2-2-1221111-111-1-11111-1-2-222-1-2-221111-1-1-12-1-11111-1-1-1-1-2-2-2-2222211111111-1-1-1-1-1-1-1-10000000000000000−3−33333−3−30000
χ3122-2-22-22222-2-2-2-2-222-2-222-222-2-222-2-2-222-2-22000022-2222-2-222-2-2-2-2000000000000000000000000000000002-2002-22-200000000000000000000
χ3222-2-22-22222-2-2-2-2-222-2-222-222-2-222-2-2-222-2-22000022-2222-2-222-2-2-2-200000000000000000000000000000000-2200-22-2200000000000000000000
χ3322-2-22-222-2-222-2-2-222-2-222-2-2-22222-2-2-222-2-220000-2-22-2-2-222-2-222220000000000000000000000000000000000000000002-2000000002-22-20000
χ3422-2-22-222-2-222-2-2-222-2-222-2-2-22222-2-2-222-2-220000-2-22-2-2-222-2-22222000000000000000000000000000000000000000000-2200000000-22-220000
χ3522-2-22-22-122-2-2-2-21-1-1112-1122-2-2-12-211-1-111-100002-11-1-1-111-1-1-21110000000033−3−333−3−33333−3−3−3−33333−3−3−3−32-200-11-1100003−33−3000000000000
χ3622-2-22-22-122-2-2-2-21-1-1112-1122-2-2-12-211-1-111-100002-11-1-1-111-1-1-21110000000033−3−333−3−33333−3−3−3−33333−3−3−3−3-22001-11-10000−33−33000000000000
χ3722-2-22-22-122-2-2-2-21-1-1112-1122-2-2-12-211-1-111-100002-11-1-1-111-1-1-211100000000−3−333−3−333−3−3−3−33333−3−3−3−333332-200-11-110000−33−33000000000000
χ3822-2-22-22-122-2-2-2-21-1-1112-1122-2-2-12-211-1-111-100002-11-1-1-111-1-1-211100000000−3−333−3−333−3−3−3−33333−3−3−3−33333-22001-11-100003−33−3000000000000
χ3922-2-22-2-12-2-22211-222-2-2-12-211-1-1-1-1111-1-111-100001-22-211-1-111-12-1-1−i3−i3i3i3−i3−i3i3i300000000−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3i3i300000000002-20000−i3i3−i3i3-11-110000
χ4022-2-22-2-12-2-22211-222-2-2-12-211-1-1-1-1111-1-111-100001-22-211-1-111-12-1-1−i3−i3i3i3−i3−i3i3i300000000−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3i3i30000000000-220000i3−i3i3−i31-11-10000
χ4122-2-22-2-12-2-22211-222-2-2-12-211-1-1-1-1111-1-111-100001-22-211-1-111-12-1-1i3i3−i3−i3i3i3−i3−i300000000i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3−i3−i300000000002-20000i3−i3i3−i3-11-110000
χ4222-2-22-2-12-2-22211-222-2-2-12-211-1-1-1-1111-1-111-100001-22-211-1-111-12-1-1i3i3−i3−i3i3i3−i3−i300000000i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3−i3−i30000000000-220000−i3i3−i3i31-11-10000
χ4322-2-2-22222-2-22-2-2-2-2-22222-222-2-22-22-2-2-2-22220000-22-2-222-2-2-2-2222200000000000000000000000000000000000000002i−2i0000002i−2i−2i2i00000000
χ4422-2-2-22222-2-22-2-2-2-2-22222-222-2-22-22-2-2-2-22220000-22-2-222-2-2-2-222220000000000000000000000000000000000000000−2i2i000000−2i2i2i−2i00000000
χ4522-2-2-2222-222-2-2-2-2-2-22222-2-2-2222-22-2-2-2-222200002-222-2-22222-2-2-2-200000000000000000000000000000000002i−2i000000002i−2i−2i2i000000000000
χ4622-2-2-2222-222-2-2-2-2-2-22222-2-2-2222-22-2-2-2-222200002-222-2-22222-2-2-2-20000000000000000000000000000000000−2i2i00000000−2i2i2i−2i000000000000
χ4722-2-2-222-1-222-2-2-2111-1-12-11-2-222-1-221111-1-1-1000021-1-111-1-1-1-1-21110000000033−3−3−3−3333333−3−3−3−3−3−3−3−33333002i−2i−i3i3i3−i30000−iii−i000000000000
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χ4922-2-2-222-1-222-2-2-2111-1-12-11-2-222-1-221111-1-1-1000021-1-111-1-1-1-1-211100000000−3−33333−3−3−3−3−3−333333333−3−3−3−3002i−2ii3−i3−i3i30000−iii−i000000000000
χ5022-2-2-222-1-222-2-2-2111-1-12-11-2-222-1-221111-1-1-1000021-1-111-1-1-1-1-211100000000−3−33333−3−3−3−3−3−333333333−3−3−3−300−2i2i−i3i3i3−i30000i−i−ii000000000000
χ5122-2-2-22-122-2-2211-2-2-222-12-2-1-111-11-11111-1-1-1000012-2-2-1-11111-12-1-1−i3−i3i3i3i3i3−i3−i300000000−i3−i3i3i3−i3−i3i3i3i3i3−i3−i3i3i3−i3−i3000000002i−2i000000−iii−i3−3−330000
χ5222-2-2-22-122-2-2211-2-2-222-12-2-1-111-11-11111-1-1-1000012-2-2-1-11111-12-1-1−i3−i3i3i3i3i3−i3−i300000000−i3−i3i3i3−i3−i3i3i3i3i3−i3−i3i3i3−i3−i300000000−2i2i000000i−i−ii−333−30000
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Here ζ is a primitive root of unity of order 24 (ζ24 = 1); i = ζ6.