Finite Group Databasebeta

← Group #11808843

Character table — Group #11808843

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108
size11111111222222222222222244444444444444888888888888888888888888999999991212121212121212121212121212121224242424242424242424242424242424363636363636
order1222222233666666666666663444444666666612121212121212121212121212121212121212121212121244444444444444444444444412121212121212121212121212121212444444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ311111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-111-1-1111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1
χ411111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-111-1-1-1-1-1-1111111-1-111-1-1-1-1-1-1
χ5111111111111111111111111111-1-1-1-111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-111-1-1-1-1
χ6111111111111111111111111111-1-1-1-111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1-1-111111111-1-1-1-1
χ7111111111111111111111111111-1-1-1-111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-1111111-1-1-1-1-1-111-1-111-1-11111
χ8111111111111111111111111111-1-1-1-111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-111-1-1-1-1-1-1111111-1-111-1-1-1-11111
χ91111111111111111111111111-1-111-1-11111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111111111-1-111-1-111-1-1-1-11111-1-1-1-111-1-11111-1-1-1-111-1-1
χ101111111111111111111111111-1-111-1-11111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-111-1-111-1-11111-1-1-1-11111-1-111-1-1-1-111-1-111-1-1
χ111111111111111111111111111-1-111-1-11111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-111-1-1-1-1-1-111-1-1111111-1-111
χ121111111111111111111111111-1-111-1-11111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1111111-1-111-1-1-1-111-1-111
χ131111111111111111111111111-1-1-1-1111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111111111-1-111-1-1-1-11111-1-111-1-11111-1-1-1-1-1-111-1-1-1-111
χ141111111111111111111111111-1-1-1-1111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-111-1-11111-1-1-1-111-1-111-1-1-1-1111111-1-1-1-1-1-111
χ151111111111111111111111111-1-1-1-1111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-1111111-1-111-1-11111-1-1-1-11111-1-1
χ161111111111111111111111111-1-1-1-1111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-111-1-111-1-1-1-111111111-1-1
χ17222222222-1222-1-1-1222-1-1-12-1-1222222-1-1-1-1-1-1-122-1-122-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000222200220022000000-1-1-1-1-1-100-1-1000000
χ18222222222-1222-1-1-1222-1-1-12-1-1222222-1-1-1-1-1-1-122-1-122-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000-2-2-2-200-2-200-2-20000001111110011000000
χ19222222222-1222-1-1-1222-1-1-12-1-122-2-2-2-2-1-1-1-1-1-1-122-1-1-2-211-2-211-1-1-1-111111111000000000000222200-2-200-2-2000000-1-1-1-1110011000000
χ20222222222-1222-1-1-1222-1-1-12-1-122-2-2-2-2-1-1-1-1-1-1-122-1-1-2-211-2-211-1-1-1-111111111000000000000-2-2-2-2002200220000001111-1-100-1-1000000
χ21222222222-1222-1-1-1222-1-1-12-1-1-2-222-2-2-1-1-1-1-1-1-1-2-21122-1-1-2-2111111-1-1-1-1111100000000000022-2-200-2-20022000000-1-111-1-10011000000
χ22222222222-1222-1-1-1222-1-1-12-1-1-2-222-2-2-1-1-1-1-1-1-1-2-21122-1-1-2-2111111-1-1-1-11111000000000000-2-222002200-2-200000011-1-11100-1-1000000
χ23222222222-1222-1-1-1222-1-1-12-1-1-2-2-2-222-1-1-1-1-1-1-1-2-211-2-21122-1-111111111-1-1-1-100000000000022-2-2002200-2-2000000-1-1111100-1-1000000
χ24222222222-1222-1-1-1222-1-1-12-1-1-2-2-2-222-1-1-1-1-1-1-1-2-211-2-21122-1-111111111-1-1-1-1000000000000-2-22200-2-2002200000011-1-1-1-10011000000
χ2522222222-12-1-1-1222-1-1-1222-12-1222222-1-1-1-1-1-1-1-1-122-1-122-1-122-1-1-1-1-1-1-1-1-1-1-1-1000000002222000022002200-1-1-1-1-1-1000000-1-100000000
χ2622222222-12-1-1-1222-1-1-1222-12-1222222-1-1-1-1-1-1-1-1-122-1-122-1-122-1-1-1-1-1-1-1-1-1-1-1-100000000-2-2-2-20000-2-200-2-2001111110000001100000000
χ2722222222-12-1-1-1222-1-1-1222-12-122-2-2-2-2-1-1-1-1-1-1-1-1-12211-2-211-2-2-1-1-1-1111111110000000022220000-2-200-2-200-1-1-1-1110000001100000000
χ2822222222-12-1-1-1222-1-1-1222-12-122-2-2-2-2-1-1-1-1-1-1-1-1-12211-2-211-2-2-1-1-1-11111111100000000-2-2-2-20000220022001111-1-1000000-1-100000000
χ2922222222-12-1-1-1222-1-1-1222-12-1-2-222-2-2-1-1-1-1-1-1-111-2-2-1-12211-2-21111-1-1-1-111110000000022-2-200002200-2-200-1-11111000000-1-100000000
χ3022222222-12-1-1-1222-1-1-1222-12-1-2-222-2-2-1-1-1-1-1-1-111-2-2-1-12211-2-21111-1-1-1-1111100000000-2-2220000-2-200220011-1-1-1-10000001100000000
χ3122222222-12-1-1-1222-1-1-1222-12-1-2-2-2-222-1-1-1-1-1-1-111-2-211-2-2-1-12211111111-1-1-1-10000000022-2-20000-2-2002200-1-111-1-10000001100000000
χ3222222222-12-1-1-1222-1-1-1222-12-1-2-2-2-222-1-1-1-1-1-1-111-2-211-2-2-1-12211111111-1-1-1-100000000-2-22200002200-2-20011-1-111000000-1-100000000
χ33222-2-22-2-22222-222-22-2-22-2-2-2-22000000222-2-2-2-20000000000000000000000002222-2-2-2-2002-2002-200000000002-200002-2000000000000
χ34222-2-22-2-22222-222-22-2-22-2-2-2-22000000222-2-2-2-20000000000000000000000002222-2-2-2-200-2200-220000000000-220000-22000000000000
χ35222-2-22-2-22222-222-22-2-22-2-2-2-22000000222-2-2-2-2000000000000000000000000-2-2-2-22222002-200-2200000000002-20000-22000000000000
χ36222-2-22-2-22222-222-22-2-22-2-2-2-22000000222-2-2-2-2000000000000000000000000-2-2-2-2222200-22002-20000000000-2200002-2000000000000
χ3722-22-2-22-2222-2-2-2-22-22-22-2-2222002-2002-2-22-2-2200002-22-20000000022-2-200002i2i−2i−2i2i2i−2i−2i00000000000000000000000000000000002i−2i00
χ3822-22-2-22-2222-2-2-2-22-22-22-2-2222002-2002-2-22-2-2200002-22-20000000022-2-20000−2i−2i2i2i−2i−2i2i2i0000000000000000000000000000000000−2i2i00
χ3922-22-2-22-2222-2-2-2-22-22-22-2-222200-22002-2-22-2-220000-22-2200000000-2-22200002i2i−2i−2i2i2i−2i−2i0000000000000000000000000000000000−2i2i00
χ4022-22-2-22-2222-2-2-2-22-22-22-2-222200-22002-2-22-2-220000-22-2200000000-2-2220000−2i−2i2i2i−2i−2i2i2i00000000000000000000000000000000002i−2i00
χ4122-2-22-2-22222-22-2-2-2-2-22222-2-220000002-2-2-222-20000000000000000000000002i2i−2i−2i−2i−2i2i2i00000000002i−2i2-20000002-2000000002i−2i000000
χ4222-2-22-2-22222-22-2-2-2-2-22222-2-220000002-2-2-222-20000000000000000000000002i2i−2i−2i−2i−2i2i2i0000000000−2i2i-22000000-2200000000−2i2i000000
χ4322-2-22-2-22222-22-2-2-2-2-22222-2-220000002-2-2-222-2000000000000000000000000−2i−2i2i2i2i2i−2i−2i00000000002i−2i-22000000-22000000002i−2i000000
χ4422-2-22-2-22222-22-2-2-2-2-22222-2-220000002-2-2-222-2000000000000000000000000−2i−2i2i2i2i2i−2i−2i0000000000−2i2i2-20000002-200000000−2i2i000000
χ452-222-2-2-2222-2-2-22-22222-22-2-2-22000000-22-222-2-20000000000000000000000002i−2i2i−2i2i−2i2i−2i000000002i−2i00002-200000000002-22i−2i00000000
χ462-222-2-2-2222-2-2-22-22222-22-2-2-22000000-22-222-2-20000000000000000000000002i−2i2i−2i2i−2i2i−2i00000000−2i2i0000-220000000000-22−2i2i00000000
χ472-222-2-2-2222-2-2-22-22222-22-2-2-22000000-22-222-2-2000000000000000000000000−2i2i−2i2i−2i2i−2i2i000000002i−2i0000-220000000000-222i−2i00000000
χ482-222-2-2-2222-2-2-22-22222-22-2-2-22000000-22-222-2-2000000000000000000000000−2i2i−2i2i−2i2i−2i2i00000000−2i2i00002-200000000002-2−2i2i00000000
χ492-22-22-22-222-2-222-2-22-2-2-2-2222200002-2-22-2-2-222000000002-22-20000000022-2-22i−2i2i−2i−2i2i−2i2i0000000000000000000000000000000000002i−2i
χ502-22-22-22-222-2-222-2-22-2-2-2-2222200002-2-22-2-2-222000000002-22-20000000022-2-2−2i2i−2i2i2i−2i2i−2i000000000000000000000000000000000000−2i2i
χ512-22-22-22-222-2-222-2-22-2-2-2-222220000-22-22-2-2-22200000000-22-2200000000-2-2222i−2i2i−2i−2i2i−2i2i000000000000000000000000000000000000−2i2i
χ522-22-22-22-222-2-222-2-22-2-2-2-222220000-22-22-2-2-22200000000-22-2200000000-2-222−2i2i−2i2i2i−2i2i−2i0000000000000000000000000000000000002i−2i
χ532-2-2222-2-222-222-222-22-2-2-22-2-22000000-2-222-22-20000000000000000000000002-2-222-2-222-2002-200000000002-200002-200000000000000
χ542-2-2222-2-222-222-222-22-2-2-22-2-22000000-2-222-22-20000000000000000000000002-2-222-2-22-2200-220000000000-220000-2200000000000000
χ552-2-2222-2-222-222-222-22-2-2-22-2-22000000-2-222-22-2000000000000000000000000-222-2-222-22-200-2200000000002-20000-2200000000000000
χ562-2-2222-2-222-222-222-22-2-2-22-2-22000000-2-222-22-2000000000000000000000000-222-2-222-2-22002-20000000000-2200002-200000000000000
χ572-2-2-2-222222-22-2-22-2-2-22-22-22222-20000-2-22-22-222-22-20000000022-2-2000000002-2-22-222-2000000000000000000000000000000002-20000
χ582-2-2-2-222222-22-2-22-2-2-22-22-22222-20000-2-22-22-222-22-20000000022-2-200000000-222-22-2-2200000000000000000000000000000000-220000
χ592-2-2-2-222222-22-2-22-2-2-22-22-2222-220000-2-22-22-22-22-2200000000-2-222000000002-2-22-222-200000000000000000000000000000000-220000
χ602-2-2-2-222222-22-2-22-2-2-22-22-2222-220000-2-22-22-22-22-2200000000-2-22200000000-222-22-2-22000000000000000000000000000000002-20000
χ6144444444-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-214444441111111-2-2-2-2-2-2-2-2-2-2-2-21111111111110000000000000000000000000000000000000000000000
χ6244444444-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2144-4-4-4-41111111-2-2-2-2222222221111-1-1-1-1-1-1-1-10000000000000000000000000000000000000000000000
χ6344444444-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-21-4-444-4-411111112222-2-2-2-22222-1-1-1-11111-1-1-1-10000000000000000000000000000000000000000000000
χ6444444444-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-21-4-4-4-444111111122222222-2-2-2-2-1-1-1-1-1-1-1-111110000000000000000000000000000000000000000000000
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χ6944-44-4-44-44-24-4-422-2-44-4-2224-2-2004-400-222-222-200004-4-2200000000-2-22200000000000000000000000000000000000000000000000000
χ7044-44-4-44-44-24-4-422-2-44-4-2224-2-200-4400-222-222-20000-442-20000000022-2-200000000000000000000000000000000000000000000000000
χ7144-44-4-44-4-24-222-4-442-224-4-4-24-2004-400-222-222-20000-224-400000000-2-22200000000000000000000000000000000000000000000000000
χ7244-44-4-44-4-24-222-4-442-224-4-4-24-200-4400-222-222-200002-2-440000000022-2-200000000000000000000000000000000000000000000000000
χ7344-44-4-44-4-2-2-22222-22-22-222-2-21004-4001-1-11-1-110000-22-2200003-33-311-1-13-33-30000000000000000000000000000000000000000000000
χ7444-44-4-44-4-2-2-22222-22-22-222-2-21004-4001-1-11-1-110000-22-220000-33-3311-1-1-33-330000000000000000000000000000000000000000000000
χ7544-44-4-44-4-2-2-22222-22-22-222-2-2100-44001-1-11-1-1100002-22-200003-33-3-1-111-33-330000000000000000000000000000000000000000000000
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χ7744-4-44-4-444-24-44222-4-44-2-2-2-42-2000000-2222-2-220000000000000000000000000000000000000000004i−4i000000000000000000−2i2i000000
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χ824-444-4-4-444-2-4-4-4-22-24442-22-42-20000002-22-2-2220000000000000000000000000000000000000000000000-4400000000002-20000000000
χ834-444-4-4-44-242224-44-2-2-2-44-42-4-20000002-22-2-22200000000000000000000000000000000000000004i−4i000000000000000000−2i2i00000000
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χ894-44-44-44-4-2-222-2-222-22222-2-2-2100004-4-11-1-1-11100000000-22-223-3-333-33-311-1-10000000000000000000000000000000000000000000000
χ904-44-44-44-4-2-222-2-222-22222-2-2-2100004-4-11-1-1-11100000000-22-22-333-3-33-3311-1-10000000000000000000000000000000000000000000000
χ914-44-44-44-4-2-222-2-222-22222-2-2-210000-44-11-1-1-111000000002-22-23-3-33-33-33-1-1110000000000000000000000000000000000000000000000
χ924-44-44-44-4-2-222-2-222-22222-2-2-210000-44-11-1-1-111000000002-22-2-333-33-33-3-1-1110000000000000000000000000000000000000000000000
χ934-4-4444-4-44-2-4442-2-2-44-422-2-42-200000022-2-22-220000000000000000000000000000000000004-40000000000000000-2200000000000000
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χ954-4-4444-4-4-242-2-2-4442-22-4-442-4-200000022-2-22-22000000000000000000000000000000004-400000000000000-2200000000000000000000
χ964-4-4444-4-4-242-2-2-4442-22-4-442-4-200000022-2-22-2200000000000000000000000000000000-44000000000000002-200000000000000000000
χ974-4-4-4-44444-2-44-42-22-4-442-224-2-24-4000022-22-22-24-4-2200000000-2-222000000000000000000000000000000000000000000000000000000
χ984-4-4-4-44444-2-44-42-22-4-442-224-2-2-44000022-22-22-2-442-20000000022-2-2000000000000000000000000000000000000000000000000000000
χ994-4-4-4-4444-242-22-44-422-2-44-4-24-24-4000022-22-22-2-224-400000000-2-222000000000000000000000000000000000000000000000000000000
χ1004-4-4-4-4444-242-22-44-422-2-44-4-24-2-44000022-22-22-22-2-440000000022-2-2000000000000000000000000000000000000000000000000000000
χ1014-4-4-4-4444-2-22-222-2222-22-22-2-214-40000-1-11-11-11-22-220000000011-1-13-3-333-3-330000000000000000000000000000000000000000000000
χ1024-4-4-4-4444-2-22-222-2222-22-22-2-214-40000-1-11-11-11-22-220000000011-1-1-333-3-333-30000000000000000000000000000000000000000000000
χ1034-4-4-4-4444-2-22-222-2222-22-22-2-21-440000-1-11-11-112-22-200000000-1-1113-3-33-333-30000000000000000000000000000000000000000000000
χ1044-4-4-4-4444-2-22-222-2222-22-22-2-21-440000-1-11-11-112-22-200000000-1-111-333-33-3-330000000000000000000000000000000000000000000000
χ105888-8-88-8-8-4-4-4-44-4-44-444-444442000000222-2-2-2-20000000000000000000000000000000000000000000000000000000000000000000000
χ10688-8-88-8-88-4-4-44-444444-4-4-4-44420000002-2-2-222-20000000000000000000000000000000000000000000000000000000000000000000000
χ1078-888-8-8-88-4-4444-44-4-4-4-44-44442000000-22-222-2-20000000000000000000000000000000000000000000000000000000000000000000000
χ1088-8-8888-8-8-4-44-4-44-4-44-4444-4442000000-2-222-22-20000000000000000000000000000000000000000000000000000000000000000000000

Here i is the imaginary unit (i² = −1).