Finite Group Databasebeta

← Group #13172111

Character table — Group #13172111

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105
size111122222222222244444444444444466888888888888888812121212121212121212121212181818181818181824242424242424242424242424242424242424243636363636363636363654547272108
order12223336666666662333666666666664436666666666666662444466121212121212222244446661212121212121212121212121212121212446666121212124412124
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111-11-1111-1-11111-1-1-1-1-1-11111111-1-11-11111111-1-1-1-11-1-1-1-1-1-1-111-1-11-1-1
χ31111111111111111111111111111111111111111111111111-1111-1-1-1111111-1-1-1-111-1-1-1-1-11-11111-11111-1-11111-11-1-1-1-111-1-1-1-1-11-1
χ41111111111111111111111111111111111111111111111111-1-11-1-1-1-1-1-111111111-1-1-1-1-1-1-11-1-1-11-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111-1-11
χ51111111111111111111111111111111-1-1111111111111111111-1111111-1-1-1-11111-1-1-1-1111-1111-111-1-1-1-1111111-1-11111-1-1-1-1-1-1-1-1-1
χ61111111111111111111111111111111-1-111111111111111111-1-1-1111-1-1-1-1-1-1-1-1-1-111-1-1111-11-1-1-1-11-1-1-1-111-1-1-1-1-11-1-1-1-111-1-111-111
χ71111111111111111111111111111111-1-11111111111111111-11-11-1-1-111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-111-11-1-1-1-1-1-1-111111-1-1-1-1-1-1-111111-11
χ81111111111111111111111111111111-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-111-1
χ91111111111111111-1111-1-1111111111111-1-1-1-1-1-1-1-1111-1-1-1-111-1-1-111-1-1111111-1-1-1-111111-1-11-1-11-111-1-1-1-111-1-1-1111-1-1-1-11111-11-1
χ101111111111111111-1111-1-1111111111111-1-1-1-1-1-1-1-1111-1-1-1-11-1-11-111111111-1-1111111111-1-1-11-1-1-111-1-1-1-1-1-111-1-1-1-1111111-1-1-1-11
χ111111111111111111-1111-1-1111111111111-1-1-1-1-1-1-1-1111-1-1-1-1-11-1-11-1-1-1-11111-1-111-1-1-1-1-1-1-1-111-1-11111-1-11111-1-111-1-111-1-1-1-1-1-1111
χ121111111111111111-1111-1-1111111111111-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-111-1-111111111-1-111-1-1-1-1-1-11-11-1-1111-1-111-1-1111-111-1-111-1-1111-1-1
χ131111111111111111-1111-1-1111111111-1-11-1-1-1-1-1-1-1-1111-1-1-1-1111-1-111-1-1-1-1-1-111-1-111-1-11111-11-111-1-1-111-1-111-1-11-111-1-111-1-1-1-11-11
χ141111111111111111-1111-1-1111111111-1-11-1-1-1-1-1-1-1-1111-1-1-1-11-111-11111-1-1-1-1-1-111-1-1-1-11111-1-111-1-1-1-111-1-1-1-11111-1-111-1-1-1-11111-1
χ151111111111111111-1111-1-1111111111-1-11-1-1-1-1-1-1-1-1111-1-1-1-1-111-11-1-1-1-1-1-1-1-1-1-1111111-1-1-1111-1111-1-1111111-1-1-1-1-1-111111111-1-1-1
χ161111111111111111-1111-1-1111111111-1-11-1-1-1-1-1-1-1-1111-1-1-1-1-1-1111-1-111-1-1-1-111-1-1-1-111-1-1-111-111-11-1-11111-1-111-1111-1-1-1-111-1-1-111
χ17222222-12-1-1-12222222-1-1-1-12-1-1-122-1-1-100-12222-1-1-1-1-1-1-1-1-1-1-1220222222000022220000-1-1-10-1-1-10220000-1-1-1-1-1-100-1-1-1-1000000000
χ18222222-12-1-1-12222222-1-1-1-12-1-1-122-1-1-100-12222-1-1-1-1-1-1-1-1-1-1-12-20-2222-2-20000-2-2-2-20000-1-1-10-1110-220000-1-11111001111000000000
χ19222222-12-1-1-12222222-1-1-1-12-1-1-122-1-1-100-12222-1-1-1-1-1-1-1-1-1-1-1-2202-2-2-2220000-2-2-2-2000011101-1-102-2000011-1-1-1-1001111000000000
χ20222222-12-1-1-12222222-1-1-1-12-1-1-122-1-1-100-12222-1-1-1-1-1-1-1-1-1-1-1-2-20-2-2-2-2-2-200002222000011101110-2-2000011111100-1-1-1-1000000000
χ21222222-12-1-1-122222-22-1-1112-1-1-122-1-1-100-1-2-2-2-21111-1-1-11111220-2-222-2-2000022-2-20000-1-1-101-1102-2000011-1-11100-1-111000000000
χ22222222-12-1-1-122222-22-1-1112-1-1-122-1-1-100-1-2-2-2-21111-1-1-111112-202-222220000-2-2220000-1-1-1011-10-2-200001111-1-10011-1-1000000000
χ23222222-12-1-1-122222-22-1-1112-1-1-122-1-1-100-1-2-2-2-21111-1-1-11111-220-22-2-2-2-20000-2-22200001110-1-110220000-1-1-1-1110011-1-1000000000
χ24222222-12-1-1-122222-22-1-1112-1-1-122-1-1-100-1-2-2-2-21111-1-1-11111-2-2022-2-222000022-2-200001110-11-10-220000-1-111-1-100-1-111000000000
χ2522222-12-12222-122-12-12-122-12-1-1-1-122-122-12-1-1-122-1-1-1-1-1-1-1-1-120202-1-10022-1-1000000222-1-1-120020-1-1-1-1-1-1-1000020000000-1-100-100
χ2622222-12-12222-122-12-12-122-12-1-1-1-122-122-12-1-1-122-1-1-1-1-1-1-1-1-1-2020-2110022-1-1000000-2-2-211-1-200201-1-1-1-1110000-200000001100100
χ2722222-12-12222-122-12-12-122-12-1-1-1-122-1-2-2-12-1-1-122-1-1-1-1-1-1-1-1-120-202-1-100-2-211000000-2-22-1-11200-20-11111-1-10000-200000001100100
χ2822222-12-12222-122-12-12-122-12-1-1-1-122-1-2-2-12-1-1-122-1-1-1-1-1-1-1-1-1-20-20-21100-2-21100000022-2111-200-201111111000020000000-1-100-100
χ2922222-12-12222-122-1-2-12-1-2-2-12-1-1-1-122-122-1-2111-2-211-1-1-1111120-20-2-1-10022-1-1000000222-1-11-200-201-1-111110000-20000000-1-100100
χ3022222-12-12222-122-1-2-12-1-2-2-12-1-1-1-122-122-1-2111-2-211-1-1-11111-20-202110022-1-1000000-2-2-2111200-20-1-1-111-1-10000200000001100-100
χ3122222-12-12222-122-1-2-12-1-2-2-12-1-1-1-122-1-2-2-1-2111-2-211-1-1-111112020-2-1-100-2-211000000-2-22-1-1-1-20020111-1-1110000200000001100-100
χ3222222-12-12222-122-1-2-12-1-2-2-12-1-1-1-122-1-2-2-1-2111-2-211-1-1-11111-202021100-2-21100000022-211-120020-111-1-1-1-10000-20000000-1-100100
χ332222-1222222-12-1-122-1-1222-1-122-1-1-1-1222-1-12-1-1-1-122-1-1-1-1-1-1-10222000-1-1-1-122000022000002022-1-10-1-1-1-100-1-1-1-1020000-1-100000-10
χ342222-1222222-12-1-122-1-1222-1-122-1-1-1-1222-1-12-1-1-1-122-1-1-1-1-1-1-10-22-200011-1-1220000-2-20000020-2-2-110-1-1-1-10011110-20000110000010
χ352222-1222222-12-1-122-1-1222-1-122-1-1-1-12-2-2-1-12-1-1-1-122-1-1-1-1-1-1-102-22000-1-111-2-20000-2-200000-20221-10111100-1-1-1-10-20000110000010
χ362222-1222222-12-1-122-1-1222-1-122-1-1-1-12-2-2-1-12-1-1-1-122-1-1-1-1-1-1-10-2-2-20001111-2-200002200000-20-2-21101111001111020000-1-100000-10
χ372222-1222222-12-1-12-2-1-12-2-2-1-122-1-1-1-1222-11-21111-2-2-1-1-1111102-2-200011-1-1220000-2-200000-202-21-10-1-11100-1-1110200001100000-10
χ382222-1222222-12-1-12-2-1-12-2-2-1-122-1-1-1-1222-11-21111-2-2-1-1-111110-2-22000-1-1-1-12200002200000-20-22110-1-1110011-1-10-20000-1-10000010
χ392222-1222222-12-1-12-2-1-12-2-2-1-122-1-1-1-12-2-2-11-21111-2-2-1-1-11111022-20001111-2-200002200000202-2-1-1011-1-100-1-1110-20000-1-10000010
χ402222-1222222-12-1-12-2-1-12-2-2-1-122-1-1-1-12-2-2-11-21111-2-2-1-1-111110-222000-1-111-2-20000-2-20000020-22-11011-1-10011-1-10200001100000-10
χ4122-2-2222-22-2-2-222-2-20222002-22-2-2-22-2-22i−2i2000000002-2-200000000000002i−2i2i−2i2-200000000000000002i−2i00000000002-20000002i−2i000
χ4222-2-2222-22-2-2-222-2-20222002-22-2-2-22-2-22i−2i2000000002-2-200000000000002i−2i2i−2i-2200000000000000002i−2i0000000000-22000000−2i2i000
χ4322-2-2222-22-2-2-222-2-20222002-22-2-2-22-2-2−2i2i2000000002-2-20000000000000−2i2i−2i2i2-20000000000000000−2i2i00000000002-2000000−2i2i000
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χ5244444-2-2-2-2-2-24-244-2-4-2-2122-2-211-2-2-2-21001-422222-1-1111-1-1-1-1-4000422000000000000002-1-10-20000-20000110000000000000000000
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χ1018-88-8-4-4-4-44-44-44444022200-2-2-222-2-22-200-1000000001-11−3i33i33i3−3i300000000000000000000000000000000000000000000000000000000
χ1028-88-8-4-4-4-44-44-44444022200-2-2-222-2-22-200-1000000001-113i3−3i3−3i33i300000000000000000000000000000000000000000000000000000000
χ1038-8-88-4-484-8-88444-4-402-4-400-2-444-2244-400200000000-2-22000000000000000000000000000000000000000000000000000000000000
χ1048-8-88-4-4-4444-4444-4-40222−4i34i3-22-2-2-22-2-2200-100002i3−2i32i3−2i311-1−i3i3−i3i300000000000000000000000000000000000000000000000000000000
χ1058-8-88-4-4-4444-4444-4-402224i3−4i3-22-2-2-22-2-2200-10000−2i32i3−2i32i311-1i3−i3i3−i300000000000000000000000000000000000000000000000000000000

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