Finite Group Databasebeta

← Group #13161094

Character table — Group #13161094

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111
size11222222222222244444444444444444444444444444448888888888888888888888888888888888812122424242424242424242424242424242424363654547272727272108216
order1223333344666663333666666666666666661212121212121212121226666666666666666666666666612121212121212122466668121212122424242424242424888882424242482
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111111-1-1
χ4111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-111
χ51111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-11111-1-1-1-1-1-1-1-11111-111-1-11-1
χ61111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-11111-1-1-1-1-1-1-1-1-1-1-1-11-1-111-11
χ71111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-11-1-1-1-11111111111-1-1-111-1-1-11
χ81111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-11-1-1-1-111111111-1-1111-1-1111-1
χ922222222-2-222222222222222222222222222-2-2-2-2-2-2-2-2-2-2000000000000000000000000000-2-2-2-2-2-2-2-200000000000000000002i−2i0002i−2i0000
χ1022222222-2-222222222222222222222222222-2-2-2-2-2-2-2-2-2-2000000000000000000000000000-2-2-2-2-2-2-2-20000000000000000000−2i2i000−2i2i0000
χ1122222-1-1-12222-1-1-12-1-1-122-1-1-122-1-1-1-1-1-12-1-1-12-1-1-12-1-1-12222222-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-1-1-1222-1-1-122-1-1-122-1-1-1-1-1-100000000000
χ1222222-1-1-12222-1-1-12-1-1-122-1-1-122-1-1-1-1-1-12-1-1-12-1-1-12-1-1-12222222-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-1-1-1-2-2-2111-2-2111-2-211111100000000000
χ1322222-1-1-12222-1-1-12-1-1-122-1-1-122-1-1-1-1-1-12-1-1-12-1-1-12-1-1-122-2-2-2-2-2111111-2-2-2-211111111111122-1-1-1-1-1-1222-1-1-1-22-1-1-1-2-211111100000000000
χ1422222-1-1-12222-1-1-12-1-1-122-1-1-122-1-1-1-1-1-12-1-1-12-1-1-12-1-1-122-2-2-2-2-2111111-2-2-2-211111111111122-1-1-1-1-1-1-2-2-21112-211122-1-1-1-1-1-100000000000
χ152222-12-1-1222-12-1-1-12-1-12-12-1-1-1-122-1-1-1-1-12-1-1-12-1-1-12-1-122222-1-122-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-122-1-1-1-122-12-1-12-12-1-1-1-122-1-1-1-100000000000
χ162222-12-1-1222-12-1-1-12-1-12-12-1-1-1-122-1-1-1-1-12-1-1-12-1-1-12-1-122222-1-122-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-122-1-1-1-1-2-21-211-21-21111-2-2111100000000000
χ172222-12-1-1222-12-1-1-12-1-12-12-1-1-1-122-1-1-1-1-12-1-1-12-1-1-12-1-122-2-2-211-2-211111111-2-2-2-211111111-1-122-1-1-1-122-12-1-1-2-12-1-111-2-2111100000000000
χ182222-12-1-1222-12-1-1-12-1-12-12-1-1-1-122-1-1-1-1-12-1-1-12-1-1-12-1-122-2-2-211-2-211111111-2-2-2-211111111-1-122-1-1-1-1-2-21-21121-211-1-122-1-1-1-100000000000
χ192222-1-12-1222-1-12-1-1-12-12-1-12-1-1-1-1-122-1-1-1-12-1-1-12-1-1-12-122222-1-1-1-122-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-122-1-122-1-12-12-1-12-1-1-1-1-122-1-100000000000
χ202222-1-12-1222-1-12-1-1-12-12-1-12-1-1-1-1-122-1-1-1-12-1-1-12-1-1-12-122222-1-1-1-122-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-122-1-1-2-211-21-211-211111-2-21100000000000
χ212222-1-12-1222-1-12-1-1-12-12-1-12-1-1-1-1-122-1-1-1-12-1-1-12-1-1-12-122-2-2-21111-2-21111111111-2-2-2-21111-1-1-1-122-1-122-1-12-1-2-1-12-11111-2-21100000000000
χ222222-1-12-1222-1-12-1-1-12-12-1-12-1-1-1-1-122-1-1-1-12-1-1-12-1-1-12-122-2-2-21111-2-21111111111-2-2-2-21111-1-1-1-122-1-1-2-211-21211-21-1-1-1-122-1-100000000000
χ232222-1-1-12222-1-1-12-1-1-122-1-1-12-1-1-1-1-1-122-1-1-12-1-1-12-1-1-1222222-1-1-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-12222-1-1-122-1-1-12-1-1-1-1-1-12200000000000
χ242222-1-1-12222-1-1-12-1-1-122-1-1-12-1-1-1-1-1-122-1-1-12-1-1-12-1-1-1222222-1-1-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-122-2-2111-2-2111-2111111-2-200000000000
χ252222-1-1-12222-1-1-12-1-1-122-1-1-12-1-1-1-1-1-122-1-1-12-1-1-12-1-1-1222-2-2-2111111-2-2111111111111-2-2-2-2-1-1-1-1-1-12222-1-1-12-2-1-1-12111111-2-200000000000
χ262222-1-1-12222-1-1-12-1-1-122-1-1-12-1-1-1-1-1-122-1-1-12-1-1-12-1-1-1222-2-2-2111111-2-2111111111111-2-2-2-2-1-1-1-1-1-122-2-2111-22111-2-1-1-1-1-1-12200000000000
χ27222-1222222-12222-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-122222222-1-12-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000022002-1-1-1-100
χ28222-1222222-12222-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-122222222-1-12-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000000-2-200-2111100
χ29222-1222222-12222-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-211-2-2-2-2-2-2-2-21111111111111111-1-1-1-1-1-1-1-100000000000000000002200-2-1-11100
χ30222-1222222-12222-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-211-2-2-2-2-2-2-2-21111111111111111-1-1-1-1-1-1-1-10000000000000000000-2-200211-1-100
χ31222-12222-2-2-12222-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2110−i3i300000000−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3i3i31111111100000000000000000002i−2i000−ii3−300
χ32222-12222-2-2-12222-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2110−i3i300000000−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3111111110000000000000000000−2i2i000i−i−3300
χ33222-12222-2-2-12222-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2110i3−i300000000i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3−i3−i31111111100000000000000000002i−2i000−ii−3300
χ34222-12222-2-2-12222-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2110i3−i300000000i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3111111110000000000000000000−2i2i000i−i3−300
χ3522-2222222-2222222222-2-2-2-2-2-2-2-2-2-2-2-2-22222-2-2-2-222222-20000000000000000000000000002-22-22-22-22-222220-2-2-2-20000000000000000000
χ3622-2222222-2222222222-2-2-2-2-2-2-2-2-2-2-2-2-22222-2-2-2-222222-20000000000000000000000000002-22-22-22-2-22-2-2-2-2022220000000000000000000
χ3722-222222-22222222222-2-2-2-2-2-2-2-2-2-2-2-2-222222222-2-2-2-2-22000000000000000000000000000-22-22-22-220000000000000000000002200000-20
χ3822-222222-22222222222-2-2-2-2-2-2-2-2-2-2-2-2-222222222-2-2-2-2-22000000000000000000000000000-22-22-22-22000000000000000000000-2-20000020
χ3922-222-1-1-12-222-1-1-12-1-1-1-2-2111-2-21111112-1-1-1-21112-1-1-12-200000−i3i3−i3i3−i3i30000−i3i3−i3i3−i3i3−i3i3−i3i3−i3i32-2-11-11-112-22-1-1-10-211100−i3i3−i3i3−i3i300000000000
χ4022-222-1-1-12-222-1-1-12-1-1-1-2-2111-2-21111112-1-1-1-21112-1-1-12-200000−i3i3−i3i3−i3i30000−i3i3−i3i3−i3i3−i3i3−i3i3−i3i32-2-11-11-11-22-211102-1-1-100i3−i3i3−i3i3−i300000000000
χ4122-222-1-1-12-222-1-1-12-1-1-1-2-2111-2-21111112-1-1-1-21112-1-1-12-200000i3−i3i3−i3i3−i30000i3−i3i3−i3i3−i3i3−i3i3−i3i3−i32-2-11-11-112-22-1-1-10-211100i3−i3i3−i3i3−i300000000000
χ4222-222-1-1-12-222-1-1-12-1-1-1-2-2111-2-21111112-1-1-1-21112-1-1-12-200000i3−i3i3−i3i3−i30000i3−i3i3−i3i3−i3i3−i3i3−i3i3−i32-2-11-11-11-22-211102-1-1-100−i3i3−i3i3−i3i300000000000
χ4322-22-12-1-12-22-12-1-1-12-1-1-21-21111-2-21111-12-1-11-211-12-1-12-2000−i3i300−i3i3i3−i3−i3i3−i3i30000−i3i3−i3i3i3−i3i3−i3-112-2-11-112-2-12-1-101-211−i3i300−i3i3i3−i300000000000
χ4422-22-12-1-12-22-12-1-1-12-1-1-21-21111-2-21111-12-1-11-211-12-1-12-2000−i3i300−i3i3i3−i3−i3i3−i3i30000−i3i3−i3i3i3−i3i3−i3-112-2-11-11-221-2110-12-1-1i3−i300i3−i3−i3i300000000000
χ4522-22-12-1-12-22-12-1-1-12-1-1-21-21111-2-21111-12-1-11-211-12-1-12-2000i3−i300i3−i3−i3i3i3−i3i3−i30000i3−i3i3−i3−i3i3−i3i3-112-2-11-112-2-12-1-101-211i3−i300i3−i3−i3i300000000000
χ4622-22-12-1-12-22-12-1-1-12-1-1-21-21111-2-21111-12-1-11-211-12-1-12-2000i3−i300i3−i3−i3i3i3−i3i3−i30000i3−i3i3−i3−i3i3−i3i3-112-2-11-11-221-2110-12-1-1−i3i300−i3i3i3−i300000000000
χ4722-22-1-12-12-22-1-12-1-1-12-1-211-211111-2-211-1-12-111-21-1-12-12-2000−i3i3i3−i300−i3i3−i3i3−i3i3i3−i3i3−i30000−i3i3−i3i3-11-112-2-112-2-1-12-1011-21−i3i3i3−i300−i3i300000000000
χ4822-22-1-12-12-22-1-12-1-1-12-1-211-211111-2-211-1-12-111-21-1-12-12-2000−i3i3i3−i300−i3i3−i3i3−i3i3i3−i3i3−i30000−i3i3−i3i3-11-112-2-11-2211-210-1-12-1i3−i3−i3i300i3−i300000000000
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χ5022-22-1-12-12-22-1-12-1-1-12-1-211-211111-2-211-1-12-111-21-1-12-12-2000i3−i3−i3i300i3−i3i3−i3i3−i3−i3i3−i3i30000i3−i3i3−i3-11-112-2-11-2211-210-1-12-1−i3i3i3−i300−i3i300000000000
χ5122-22-1-1-122-22-1-1-12-1-1-12-2111-2111111-2-2-1-1-12111-2-1-1-122-2000−i3i3−i3i3i3−i300−i3i3−i3i3−i3i3−i3i3i3−i3i3−i30000-11-11-112-22-2-1-1-120111-2−i3i3−i3i3i3−i30000000000000
χ5222-22-1-1-122-22-1-1-12-1-1-12-2111-2111111-2-2-1-1-12111-2-1-1-122-2000−i3i3−i3i3i3−i300−i3i3−i3i3−i3i3−i3i3i3−i3i3−i30000-11-11-112-2-22111-20-1-1-12i3−i3i3−i3−i3i30000000000000
χ5322-22-1-1-122-22-1-1-12-1-1-12-2111-2111111-2-2-1-1-12111-2-1-1-122-2000i3−i3i3−i3−i3i300i3−i3i3−i3i3−i3i3−i3−i3i3−i3i30000-11-11-112-22-2-1-1-120111-2i3−i3i3−i3−i3i30000000000000
χ5422-22-1-1-122-22-1-1-12-1-1-12-2111-2111111-2-2-1-1-12111-2-1-1-122-2000i3−i3i3−i3−i3i300i3−i3i3−i3i3−i3i3−i3−i3i3−i3i30000-11-11-112-2-22111-20-1-1-12−i3i3−i3i3i3−i30000000000000
χ5544444-2-2-2-4-444-2-2-24-2-2-244-2-2-244-2-2-2-2-2-24-2-2-2-4222-4222-4-4000000000000000000000000000-4-4222222000000000000000000000000000000
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χ584444-2-2-24-4-44-2-2-24-2-2-244-2-2-24-2-2-2-2-2-244-2-2-24222-4222-4-4-4000000000000000000000000000222222-4-4000000000000000000000000000000
χ59444-24-2-2-244-24-2-2-2-2111-24-2-2-2-2-2111111-21114-2-2-24-2-2-2-2-24-2-244-2-2-2-2-2-2-2-2-2-2111111111111-2-2111111000000000000000000000000000000
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χ63444-2-24-2-244-2-24-2-21-211-2-24-2-211-2-211111-211-24-2-2-24-2-2-2-24-2-2-2-244-2-2-2-21111-2-2-2-21111111111-2-21111000000000000000000000000000000
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χ67444-2-2-24-244-2-2-24-211-21-2-2-24-21111-2-21111-21-2-24-2-2-24-2-2-24-2-2-2-2-2-244-2-211111111-2-2-2-211111111-2-211000000000000000000000000000000
χ68444-2-2-24-244-2-2-24-211-21-2-2-24-21111-2-21111-21-2-24-2-2-24-2-2-2-4222222-4-422-1-1-1-1-1-1-1-12222-1-1-1-11111-2-211000000000000000000000000000000
χ69444-2-2-24-2-4-4-2-2-24-211-21-2-2-24-21111-2-21111-2122-4222-42220−2i32i300000000i3i3−i3−i3i3i3−i3−i3−2i3−2i32i32i3i3i3−i3−i3-1-1-1-122-1-1000000000000000000000000000000
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χ71444-2-2-2-2444-2-2-2-24111-2-2-2-2-24111111-2-2111-2-2-2-24-2-2-24-2-24-2-2-2-2-2-2-2-244111111111111-2-2-2-2111111-2-2000000000000000000000000000000
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χ9444-4-2-2-2-244-4-2-2-2-24111-22222-4-1-1-1-1-1-122111-2222-4-2-2-24-220002i3−2i32i3−2i3−2i32i300−i3i3−i3i3−i3i3−i3i3i3−i3i3−i300001-11-11-1-22000000000000000000000000000000
χ9544-4-2-2-2-24-44-2-2-2-24111-22222-4-1-1-1-1-1-122111-2-2-2-24222-42-2000000000003-3-333-3-33-333-30000-11-11-112-2000000000000000000000000000000
χ9644-4-2-2-2-24-44-2-2-2-24111-22222-4-1-1-1-1-1-122111-2-2-2-24222-42-200000000000-333-3-333-33-3-330000-11-11-112-2000000000000000000000000000000
χ974-404444400-4-4-4-4-444440000000000000-4-4-4-400000000000000000000000000000000000000000000000000000000000000000022−220000000
χ984-404444400-4-4-4-4-444440000000000000-4-4-4-4000000000000000000000000000000000000000000000000000000000000000000−22220000000
χ998-8088-4-4-400-8-84448-4-4-40000000000000-8444000000000000000000000000000000000000000000000000000000000000000000000000000
χ1008-808-48-4-400-84-844-48-4-400000000000004-844000000000000000000000000000000000000000000000000000000000000000000000000000
χ1018-808-4-48-400-844-84-4-48-4000000000000044-84000000000000000000000000000000000000000000000000000000000000000000000000000
χ1028-808-4-4-4800-8444-8-4-4-480000000000000444-8000000000000000000000000000000000000000000000000000000000000000000000000000
χ1038-80-48888004-8-8-8-8-4-4-4-400000000000004444000000000000000000000000000000000000000000000000000000000000000000000000000
χ1048-80-48-4-4-4004-8444-422200000006-66-66-64-2-2-2000000000000000000000000000000000000000000000000000000000000000000000000000
χ1058-80-48-4-4-4004-8444-42220000000-66-66-664-2-2-2000000000000000000000000000000000000000000000000000000000000000000000000000
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χ1078-80-4-48-4-40044-8442-42200000-6600-666-6-24-2-2000000000000000000000000000000000000000000000000000000000000000000000000000
χ1088-80-4-4-48-400444-8422-42000006-6-66006-6-2-24-2000000000000000000000000000000000000000000000000000000000000000000000000000
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χ1108-80-4-4-4-48004444-8222-4000006-66-6-6600-2-2-24000000000000000000000000000000000000000000000000000000000000000000000000000
χ1118-80-4-4-4-48004444-8222-400000-66-666-600-2-2-24000000000000000000000000000000000000000000000000000000000000000000000000000

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