Finite Group Databasebeta

← Group #11885822

Character table — Group #11885822

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102
size1111222222222222222244444444444444444446666888888888888888888888812121212121212121212121212121212181818182424242424242424242424363648487272
order122233444466666612121212222366666121212121212121212128888466666666666121212121212121212122288888824242424242424242244244661212242424244461224
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111-1-111-1-111111111-1-1-1-1-11-11111-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111-1-1-1-11111111111111111111111-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-11-11-1-1-1-11111-1-111-1-1
χ4111111111111111111111111111111111111111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-111-1-111
χ5111111111111111111111-1-111111111111111111111-11-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1111111-1-1-1-1
χ6111111111111111111111-1-111111111111111111111-11-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111-1-111111111-1-1-1-11-11-1-1-1-1-1-1-1-1-1-11111
χ7111111111111111111111-1-11111111111111111-1-1-1-1-11-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-11111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-11-111111111-1-1-1-111
χ8111111111111111111111-1-11111111111111111-1-1-1-1-11-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111-1-1-1-11111-1-1
χ9111111-1-111111111-1-1-1-1-1111-1-1111-1-11-1-1-1-11111111-1-11111-1-11111-1-1-1-111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-111-1-1111-1-111-1-11-1-11-11
χ10111111-1-111111111-1-1-1-1-1111-1-1111-1-11-1-1-1-11111111-1-11111-1-11111-1-1-1-111-1-1-1-111-1-1-1-1111111-1-1-1-111-1-11-1-111-1-1-1-111-111-11-1
χ11111111-1-111111111-1-1-1-1-1111-1-1111-1-11-1-1-1-1111-1-1-1-1-1-11111-1-11111-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-1111111-1-1-111-1-11111-1-1-11-111-1
χ12111111-1-111111111-1-1-1-1-1111-1-1111-1-11-1-1-1-1111-1-1-1-1-1-11111-1-11111-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-11111-1-1-111-1-1111-11-1-11
χ13111111-1-111111111-1-1-1-1-1-1-11-1-1111-1-11-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-11111111111-1-111-1-1-1-11111-1-1-1-1-1-11111-1-1-11111-1-11-11-11-1
χ14111111-1-111111111-1-1-1-1-1-1-11-1-1111-1-11-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1111111-1-1-1-111-1-1-111-1-111-1-111-11-11-11
χ15111111-1-111111111-1-1-1-1-1-1-11-1-1111-1-11-1-1-1-1111-1-1-1-11-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1111111-1-11-1-111-1-111-1-1-111-1-11
χ16111111-1-111111111-1-1-1-1-1-1-11-1-1111-1-11-1-1-1-1111-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1111111111111-1-11111-1-1-1-11111-1-111-1-1111-1-1-1-1111-1-111-1
χ1722222222-2-22222222222-2002-2-222222-22222-2-2-200000-20000-2-200000000-2-200000000000000000000222200000000000-2-20000
χ1822222222-2-22222222222-2002-2-222222-22222-2-2-200000-20000-2-200000000-2-200000000000000000000-2-2-2-200000000000220000
χ19222222-2-2-2-2222222-2-2-2-2200222222-2-2-2-2-2-2-2-2-2-200000200002200000000-2-20000000000000000000022-2-2000000000002-20000
χ20222222-2-2-2-2222222-2-2-2-2200222222-2-2-2-2-2-2-2-2-2-200000200002200000000-2-200000000000000000000-2-22200000000000-220000
χ2122222-1222222-1-1-122222222-122-1-1-1-1-12-1-1-1-1-1-1200002-122-1-1-1-1-1-1-1-1-1-122-1-1-1-1-1-1002200220000000000002020000-1-1-1-100-1-100
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χ2322222-1222222-1-1-1222222-2-2-122-1-1-1-1-12-1-1-1-1-1-120000-2-1-2-211-1-1111111-2-2-1-1111100220022000000000000-20-20000-1-1-1-1001100
χ2422222-1222222-1-1-1222222-2-2-122-1-1-1-1-12-1-1-1-1-1-120000-2-1-2-211-1-1111111-2-2-1-1111100-2-200-2-20000000000002020000111100-1-100
χ2522222-1-2-22222-1-1-12-2-2-2-2-222-1-2-2-1-1-11121111-1-120000-2122-1-111-1-1-1-111-2-2-1-11111002200-2-2000000000000-2020000-1-111001-100
χ2622222-1-2-22222-1-1-12-2-2-2-2-222-1-2-2-1-1-11121111-1-120000-2122-1-111-1-1-1-111-2-2-1-1111100-2-2002200000000000020-2000011-1-100-1100
χ2722222-1-2-22222-1-1-12-2-2-2-2-2-2-2-1-2-2-1-1-11121111-1-12000021-2-211111111-1-122-1-1-1-1-1-1002200-2-200000000000020-20000-1-11100-1100
χ2822222-1-2-22222-1-1-12-2-2-2-2-2-2-2-1-2-2-1-1-11121111-1-12000021-2-211111111-1-122-1-1-1-1-1-100-2-20022000000000000-202000011-1-1001-100
χ292222-122222-1-1222-1-1-1-1-1222-1-1-1-1-1-122-1-1-1-1-122-1222222-1-122-1-1-1-1-1-122-1-1-1-1-1-1-1-122002200-1-1-1-1-1-1-1-10000020-1-1-1-10000000000
χ302222-122222-1-1222-1-1-1-1-1222-1-1-1-1-1-122-1-1-1-1-122-1-2-2-2-222-1-122-1-1-1-1-1-122-1-1-1-1-1-1-1-1-2-200-2-2001111111100000-2011110000000000
χ312222-122222-1-1222-1-1-1-1-12-2-2-1-1-1-1-1-122-1-1-1-1-122-12222-2211-2-2-1-11111-2-211-1-11111-2-2002200-1-1-1-1-1-1-1-100000-2011110000000000
χ322222-122222-1-1222-1-1-1-1-12-2-2-1-1-1-1-1-122-1-1-1-1-122-1-2-2-2-2-2211-2-2-1-11111-2-211-1-111112200-2-200111111110000020-1-1-1-10000000000
χ332222-12-2-222-1-1222-11111-222-111-1-1-1-2-2-1111122-12222-2-2-1-12211-1-1-1-1-2-211-1-111112200-2-200-1-1-1-1111100000-20-1-1110000000000
χ342222-12-2-222-1-1222-11111-222-111-1-1-1-2-2-1111122-1-2-2-2-2-2-2-1-12211-1-1-1-1-2-211-1-11111-2-20022001111-1-1-1-1000002011-1-10000000000
χ352222-12-2-222-1-1222-11111-2-2-2-111-1-1-1-2-2-1111122-122222-211-2-211111122-1-1-1-1-1-1-1-1-2-200-2-200-1-1-1-11111000002011-1-10000000000
χ362222-12-2-222-1-1222-11111-2-2-2-111-1-1-1-2-2-1111122-1-2-2-2-22-211-2-211111122-1-1-1-1-1-1-1-1220022001111-1-1-1-100000-20-1-1110000000000
χ3722-2-2222i−2i002-22-2-2-22i2i−2i−2i0002002-2-22i−2i02i2i−2i−2i00022−2−2000000000000000000000000−i2i2−i2i22−222−2−2−i2−i2i2i22-22i−2i0000000−i2i22−2000000
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χ4122-2-222−2i2i002-22-2-2-2−2i−2i2i2i0002002-2-2−2i2i0−2i−2i2i2i00022−2−2000000000000000000000000−i2i2i2−i2−2222−2−2i2i2−i2−i2-222i−2i0000000−i2i2−22000000
χ4222-2-222−2i2i002-22-2-2-2−2i−2i2i2i0002002-2-2−2i2i0−2i−2i2i2i00022−2−2000000000000000000000000i2−i2i2−i22−222−2−2i2i2−i2−i22-2−2i2i0000000i2−i22−2000000
χ4322-2-222−2i2i002-22-2-2-2−2i−2i2i2i0002002-2-2−2i2i0−2i−2i2i2i000−2−222000000000000000000000000−i2i2−i2i2−22−2−222−i2−i2i2i22-2−2i2i0000000−i2i2−22000000
χ4422-2-222−2i2i002-22-2-2-2−2i−2i2i2i0002002-2-2−2i2i0−2i−2i2i2i000−2−222000000000000000000000000i2−i2−i2i22−2−2−222−i2−i2i2i2-222i−2i0000000i2−i22−2000000
χ452-22-22200-22-2-2-22-22000002-2200-2-2200-200002-222-22-2002-22-20022-2-200002-200002-20000002-22-2000000000002-2000000000000
χ462-22-22200-22-2-2-22-22000002-2200-2-2200-200002-22-22-22002-22-20022-2-200002-20000-22000000-22-2200000000000-22000000000000
χ472-22-22200-22-2-2-22-2200000-22200-2-2200-200002-222-22-200-22-2200-2-22200002-20000-220000002-22-200000000000-22000000000000
χ482-22-22200-22-2-2-22-2200000-22200-2-2200-200002-22-22-2200-22-2200-2-22200002-200002-2000000-22-22000000000002-2000000000000
χ492-22-2-1200-2211-22-2-1−i3i3−i3i302-2-1−i3i311-1001−i3i3−i3i32-2-12-22-200-112-2−i3i3-1-11100−i3i3-11−i3−i3i3i32-2000000-11-11−i3i3−i3i30000000-11−i3i30000000000
χ502-22-2-1200-2211-22-2-1−i3i3−i3i302-2-1−i3i311-1001−i3i3−i3i32-2-1-22-2200-112-2−i3i3-1-11100−i3i3-11−i3−i3i3i3-220000001-11-1i3−i3i3−i300000001-1i3−i30000000000
χ512-22-2-1200-2211-22-2-1−i3i3−i3i30-22-1−i3i311-1001−i3i3−i3i32-2-12-22-2001-1-22−i3i311-1-100i3−i3-11i3i3−i3−i3-22000000-11-11−i3i3−i3i300000001-1i3−i30000000000
χ522-22-2-1200-2211-22-2-1−i3i3−i3i30-22-1−i3i311-1001−i3i3−i3i32-2-1-22-22001-1-22−i3i311-1-100i3−i3-11i3i3−i3−i32-20000001-11-1i3−i3i3−i30000000-11−i3i30000000000
χ532-22-2-1200-2211-22-2-1i3−i3i3−i302-2-1i3−i311-1001i3−i3i3−i32-2-12-22-200-112-2i3−i3-1-11100i3−i3-11i3i3−i3−i32-2000000-11-11i3−i3i3−i30000000-11i3−i30000000000
χ542-22-2-1200-2211-22-2-1i3−i3i3−i302-2-1i3−i311-1001i3−i3i3−i32-2-1-22-2200-112-2i3−i3-1-11100i3−i3-11i3i3−i3−i3-220000001-11-1−i3i3−i3i300000001-1−i3i30000000000
χ552-22-2-1200-2211-22-2-1i3−i3i3−i30-22-1i3−i311-1001i3−i3i3−i32-2-12-22-2001-1-22i3−i311-1-100−i3i3-11−i3−i3i3i3-22000000-11-11i3−i3i3−i300000001-1−i3i30000000000
χ562-22-2-1200-2211-22-2-1i3−i3i3−i30-22-1i3−i311-1001i3−i3i3−i32-2-1-22-22001-1-22i3−i311-1-100−i3i3-11−i3−i3i3i32-20000001-11-1−i3i3−i3i30000000-11i3−i30000000000
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χ904-44-4-2-200-44222-22-22i3−2i32i3−2i304-412i3−2i3-1-11002−i3i3−i3i3-22-2000000-22-22−i3i311-1-1002i3−2i31-1−i3−i3i3i30000000000000000000000000000000000000
χ914-44-4-2-200-44222-22-22i3−2i32i3−2i30-4412i3−2i3-1-11002−i3i3−i3i3-22-20000002-22-2−i3i3-1-11100−2i32i31-1i3i3−i3−i30000000000000000000000000000000000000
χ924-4-44440000-44-4-44-40000000400-44-4000000000022−22−222200000000000000000000000000000022−22−22220000000000000000000000000
χ934-4-44440000-44-4-44-40000000400-44-40000000000−222222−22000000000000000000000000000000−222222−220000000000000000000000000
χ944-4-44-2400002-2-4-44223−23−2323000-2002-2200023−23−232300022−22−2222000000000000000000000000000000−222−2−666−6000000000000000000000
χ954-4-44-2400002-2-4-44223−23−2323000-2002-2200023−23−2323000−222222−220000000000000000000000000000002−2−226−6−66000000000000000000000
χ964-4-44-2400002-2-4-442−232323−23000-2002-22000−232323−2300022−22−2222000000000000000000000000000000−222−26−6−66000000000000000000000
χ974-4-44-2400002-2-4-442−232323−23000-2002-22000−232323−23000−222222−220000000000000000000000000000002−2−22−666−6000000000000000000000
χ9888-8-8-4-48i−8i00-44-4444−4i−4i4i4i0002002-2-2−4i4i02i2i−2i−2i000000000000000000000000000000000000000000000000000000000000000000
χ9988-8-8-4-4−8i8i00-44-44444i4i−4i−4i0002002-2-24i−4i0−2i−2i2i2i000000000000000000000000000000000000000000000000000000000000000000
χ1008-8-888-40000-8844-4-80000000-4004-440000000000000000000000000000000000000000000000000000000000000000000000000
χ1018-8-88-4-400004-444-4443−43−4343000200-22-2000−232323−23000000000000000000000000000000000000000000000000000000000000000000
χ1028-8-88-4-400004-444-44−434343−43000200-22-200023−23−2323000000000000000000000000000000000000000000000000000000000000000000

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