Finite Group Databasebeta

← Group #13170469

Character table — Group #13170469

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108
size111122222222222244444444444444444444466888888888888812121212121212121212121212121212121212121212121212181824242424242424242424242424243636363636363654547272727272108
order122233366666666633346666666661212121212121212443666121212121212121212444441212121212121212121212121212121212121212441212121212121212121212121212244441212446121212124
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111-1-1111111111-1-11111111111-1-1-1-1111-1-1-1-1-11111-1-111-1-1-1-1-1-1-1-111-1
χ31111111111111111111111111111111111111111111111111111-1-11111111-1-111111111111111-1-111-1-1-111111-1-1-1-11-1-1-11-1-1-1-111-1-1-1-1
χ41111111111111111111111111111111111111111111111111111-1-1-1-111111-1-111-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-11111-1-11-1-11
χ51111111111111111111111111111111111111-1-111111111111111111-1-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-11111111111111111-11-1-1-111-1-1-1-11-1-1-1
χ61111111111111111111111111111111111111-1-1111111111111111-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-1-1-111111-1-1-11-1-11111-1-1-11
χ71111111111111111111111111111111111111-1-11111111111111-1-111-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-111111-1-1-1-1-1-111-1-1-111-1-1-1111
χ81111111111111111111111111111111111111-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111-1-111111-1
χ91111111111111111111-1111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-11-11-1-1111111-1-1-1-1-1-11111-1-1-1-1-1-1-111-1-1111-1-111-1-1-111-11-1-1-1-1-1111-11
χ101111111111111111111-1111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-11-1-11-1111111-1-111-1-11111-1-1-1-1111-11-1-1-1-1-11111-1-11-11-1-111111-1-11-1-1
χ111111111111111111111-1111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111-11-111111-1-1-1-111-1-1-1111111-11-1-11-1
χ121111111111111111111-1111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-11-11-11111-1-1-1-111-1-11111-1-1-1-1-1-11-1-111-1-1-111-1-11111-11-1-1-1-1-11-11-111
χ131111111111111111111-1111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-11-11-11-1-1-1-11111-1-111-1-1-1-11111-1-1-111-1-1111-1-111-1-111-11-1-1-1111-11-11-1
χ141111111111111111111-1111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-11-1-111-1-1-1-111111111-1-1-1-11111111-11-1-1-1-1-11111-1-1-1-1-11111-1-1-11-1-111
χ151111111111111111111-1111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-11-1-1-1-1-1-111-1-111-1-1-1-1111111-11-111111-1-1-1-1111-11-1-111-1-11-1-11-11
χ161111111111111111111-1111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11-111-1-1-1-1-1-1111111-1-1-1-11111-1-11-1-111-1-1-111-1-111-111-11-1-111-1111-1-1
χ17222222-12-1-1222-1222-1-122-12-1-1-1-1-1222-1-1-1-1-1-122-1-1-1-1222-1-1-1-1-1-100222-1-12200-1-12222-1-1-1-1-1-1-1-100-1-10002-1-1-1-10000200020000-1-10000
χ18222222-12-1-1222-1222-1-122-12-1-1-1-1-1222-1-1-1-1-1-122-1-1-1-1222-1-1-1-1-1-100-2-22-1-12200-1-1-2-222-1-1-1-1-1-1-1-10011000-211110000-2000-20000110000
χ19222222-12-1-1222-1222-1-122-12-1-1-1-1-1222-1-1-1-1-1-1-2-2-1-1-1-1222-1-1-1-1-1-10022-211-2-2001122-2-21111111100-1-10002-1-1-1-10000-2000-20000110000
χ20222222-12-1-1222-1222-1-122-12-1-1-1-1-1222-1-1-1-1-1-1-2-2-1-1-1-1222-1-1-1-1-1-100-2-2-211-2-20011-2-2-2-2111111110011000-211110000200020000-1-10000
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χ23222222-12-1-1222-1222-1-1-22-12-1-1-1-1-12-2-2111111-2-2-1-1-1-1-2-2-2111111002-2211-2-200-1-1-2-2221111-1-1-1-1001-10002-1-11100002000-20000-110000
χ24222222-12-1-1222-1222-1-1-22-12-1-1-1-1-12-2-2111111-2-2-1-1-1-1-2-2-211111100-22211-2-200-1-122221111-1-1-1-100-11000-211-1-10000-2000200001-10000
χ2522222-122222-1-12-12-12-12-1-1-1222-1-1-12222222200-1-1-1-1-1-1-1-1-1-1-1-1-1222200000-1-100-1-10000000000222222-1-1-1-1-1-1-1-1-1-102000-1-10000-1000
χ2622222-122222-1-12-12-12-12-1-1-1222-1-1-12222222200-1-1-1-1-1-1-1-1-1-1-1-1-122-2-200000-1-100110000000000-2-2-2-222-111111-1-1-1-10-20001100001000
χ2722222-122222-1-12-12-12-12-1-1-1222-1-1-12222222200-1-1-1-1-1-1-1-1-1-1-1-1-1-2-222000001100-1-10000000000-2-222-2-21-1-1-1-1-111110-20001100001000
χ2822222-122222-1-12-12-12-12-1-1-1222-1-1-12222222200-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-200000110011000000000022-2-2-2-2111111111102000-1-10000-1000
χ2922222-122222-1-12-12-12-1-2-1-1-1222-1-1-1-2-2-2-2-2-2-2-200-1-1-1-11111111112-22-200000-1-100110000000000-2-2-222-21-1-1-111-1-11102000110000-1000
χ3022222-122222-1-12-12-12-1-2-1-1-1222-1-1-1-2-2-2-2-2-2-2-200-1-1-1-11111111112-2-2200000-1-100-1-10000000000222-22-21111-1-1-1-1110-2000-1-100001000
χ3122222-122222-1-12-12-12-1-2-1-1-1222-1-1-1-2-2-2-2-2-2-2-200-1-1-1-1111111111-222-200000110011000000000022-22-22-1-1-1-11111-1-10-2000-1-100001000
χ3222222-122222-1-12-12-12-1-2-1-1-1222-1-1-1-2-2-2-2-2-2-2-200-1-1-1-1111111111-22-22000001100-1-10000000000-2-22-2-22-1111-1-111-1-102000110000-1000
χ332222-122-122-12222-1-1-122-12-1-1-1-122-1-1-122-1-1-1-122-1-1-1-12-1-122-1-1-1-12200222-1-1222200-1-1-1-1-1-1-1-1-1-10000-1-1200000-1-1-1-1002200000000-1-10
χ342222-122-122-12222-1-1-122-12-1-1-1-122-1-1-122-1-1-1-122-1-1-1-12-1-122-1-1-1-1-2-200222-1-1-2-22200-1-1-1-1-1-1-1-1-1-1000011-200000111100-2-200000000110
χ352222-122-122-12222-1-1-122-12-1-1-1-122-1-1-122-1-1-1-1-2-2-1-1-1-12-1-122-1-1-1-12200-2-2-21122-2-20011111111110000-1-1200000-1-1-1-100-2-200000000110
χ362222-122-122-12222-1-1-122-12-1-1-1-122-1-1-122-1-1-1-1-2-2-1-1-1-12-1-122-1-1-1-1-2-200-2-2-211-2-2-2-2001111111111000011-2000001111002200000000-1-10
χ372222-122-122-12222-1-1-12-2-12-1-1-1-122-111-2-2111122-1-1-1-1-211-2-211112-200-222-1-122-2-20011-1-1-1-111110000-11-200000-1-111002-200000000-110
χ382222-122-122-12222-1-1-12-2-12-1-1-1-122-111-2-2111122-1-1-1-1-211-2-21111-2200-222-1-1-2-2-2-20011-1-1-1-1111100001-120000011-1-100-22000000001-10
χ392222-122-122-12222-1-1-12-2-12-1-1-1-122-111-2-21111-2-2-1-1-1-1-211-2-211112-2002-2-211222200-1-11111-1-1-1-10000-11-200000-1-11100-22000000001-10
χ402222-122-122-12222-1-1-12-2-12-1-1-1-122-111-2-21111-2-2-1-1-1-1-211-2-21111-22002-2-211-2-22200-1-11111-1-1-1-100001-120000011-1-1002-200000000-110
χ412-2-22222-2-2-2-22-22-22222022-2-22-2-2-2-2000000002i−2i22-2-2000000000000002i−2i2i−2i000000002i2i−2i−2i00002-200000000000000000002-22i−2i000000
χ422-2-22222-2-2-2-22-22-22222022-2-22-2-2-2-2000000002i−2i22-2-2000000000000002i−2i2i−2i000000002i2i−2i−2i0000-220000000000000000000-22−2i2i000000
χ432-2-22222-2-2-2-22-22-22222022-2-22-2-2-2-200000000−2i2i22-2-200000000000000−2i2i−2i2i00000000−2i−2i2i2i00002-200000000000000000002-2−2i2i000000
χ442-2-22222-2-2-2-22-22-22222022-2-22-2-2-2-200000000−2i2i22-2-200000000000000−2i2i−2i2i00000000−2i−2i2i2i0000-220000000000000000000-222i−2i000000
χ4544444-2-24-2-24-2-2-2-24-2-214-21-2-2-2-211-244-2-2-2-2-2-2001111-2-2-21111110044000000000-2-2000000000000-2-2000-211110000000000000000000
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χ534444-2-24-244-2-2-24-2-21-2-241-21-2-2-2-2-21-2-244-2-2-2-2001111-211-2-21111440000000-2-2000000000000000000-2-2-2000001111000000000000000
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χ934-4-44-24-222224-4-2-4-2-21-20-2-22-11-122200003i−3i−3i3i4i−4i11-1-1000003i−3i−3i3i00000−2i2i−2i2i00000000ii−i−i-333-30000000000000000000000000000000
χ944-4-44-24-222224-4-2-4-2-21-20-2-22-11-122200003i−3i−3i3i−4i4i11-1-1000003i−3i−3i3i000002i−2i2i−2i00000000−i−iii3-3-330000000000000000000000000000000
χ954-4-44-24-222224-4-2-4-2-21-20-2-22-11-12220000−3i3i3i−3i4i−4i11-1-100000−3i3i3i−3i00000−2i2i−2i2i00000000ii−i−i3-3-330000000000000000000000000000000
χ964-4-44-24-222224-4-2-4-2-21-20-2-22-11-12220000−3i3i3i−3i−4i4i11-1-100000−3i3i3i−3i000002i−2i2i−2i00000000−i−iii-333-30000000000000000000000000000000
χ978888-4-4-4-4-4-4-4-4-4-4-4-42228222222222-4-4-4-4222200-1-1-1-1-42222-1-1-1-100000000000000000000000000000000000000000000000000000000
χ988888-4-4-4-4-4-4-4-4-4-4-4-4222-82222222224444-2-2-2-200-1-1-1-14-2-2-2-2111100000000000000000000000000000000000000000000000000000000
χ9988-8-8-4-484-88-44-4-8442-4-40-24-244-4-44200000000002-22-200000000000000000000000000000000000000000000000000000000000000000
χ10088-8-8-4-4-444-4-44-44442220-2-2-2-2-222-220043−43−23−23232300-11-11000−232333−3−300000000000000000000000000000000000000000000000000000000
χ10188-8-8-4-4-444-4-44-44442220-2-2-2-2-222-2200−43432323−23−2300-11-1100023−23−3−33300000000000000000000000000000000000000000000000000000000
χ1028-88-88-4-48-44-8444-4-8-4-4204-2-4-444-22400000000002-2-2200000000000000000000000000000000000000000000000000000000000000000
χ1038-88-8-4-4-4-4-444444-442220-2-222-2-2-22-2−4i34i3002i3−2i32i3−2i300-111-102i3−2i300−i3i3−i3i300000000000000000000000000000000000000000000000000000000
χ1048-88-8-4-4-4-4-444444-442220-2-222-2-2-22-24i3−4i300−2i32i3−2i32i300-111-10−2i32i300i3−i3i3−i300000000000000000000000000000000000000000000000000000000
χ1058-8-888-4-4-844-8-44-448-4-420-4244-44-2-24000000000022-2-200000000000000000000000000000000000000000000000000000000000000000
χ1068-8-88-4-484-8-84-4484-42-4-402-4-24-4444-2000000000022-2-200000000000000000000000000000000000000000000000000000000000000000
χ1078-8-88-4-4-44444-44-44-4222022-2-22-2-2-2-200006i−6i−6i6i00-1-11100000−3i3i3i−3i00000000000000000000000000000000000000000000000000000000
χ1088-8-88-4-4-44444-44-44-4222022-2-22-2-2-2-20000−6i6i6i−6i00-1-111000003i−3i−3i3i00000000000000000000000000000000000000000000000000000000

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