Finite Group Databasebeta

← Group #13168319

Character table — Group #13168319

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114
size11112222222222222244444444444444444488888888888888999912121212121212121212121212121818181818181818181818181818242424242424242424242424242424242424242436363636363636363636108108
order12223334466666666633366666666612121212121236661212121212121212121222224444441212121212121212222244444466661212121212121212121212121212121212121212666612121212121244
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111-1-111111111-1-1-1-111-1-1-1-11111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1
χ3111111111111111111111111111111111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ4111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1
χ511111111111111111111111111111111111111111111111111-1-1-1-111-1-1111111-1-1-1-111-1-1-1-111-1-1-1-1-1-1111111-1-111111111-1-1-1-111-1-111-1-1-1-1-1-1
χ611111111111111111111111111111111111111111111111111-1-1-1-111-1-1-1-11111-1-1-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-111-1-111-1-111
χ711111111111111111111111111111111111111111111111111-1-1-1-1-1-11111-1-1-1-11111-1-111-1-1-1-111-1-1-1-11111-1-1111111-1-1-1-11111-1-111-1-111-1-1-1-1
χ811111111111111111111111111111111111111111111111111-1-1-1-1-1-111-1-1-1-1-1-1111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1111111-1-111-1-1-1-111
χ91111111-1-1111111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111111-11-11-111-1-111-1-11111-1-1-1-1-1-1111111-1-11-11-111-1-111-1-111-1-11111-1-1-1-1-1-11-1
χ101111111-1-1111111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111111-11-1-1111-1-111-1-1-1-1-1-1-1-111111111-1-1111-11-1-1-11111-1-111-1-1-1-1-1-11111-1-1-11
χ111111111-1-1111111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-11-111-1-1-111-1-111-1-1-1-1-1-11111111111-1-1-11-1111-1-1-1-111-1-111-1-1-1-11111-1-11-1
χ121111111-1-1111111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-11-11-11-1-111-1-1111111-1-1-1-1-1-11111-1-111-11-11-1-111-1-111-1-1111111-1-1-1-1-1-1-11
χ131111111-1-1111111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-111-111-1-1-1-11111-1-111-1-111-1-1-1-111-1-11-1-1111-1-111-1-1-1-11111-1-1-1-11111-11
χ141111111-1-1111111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-11-1111-1-1-1-111-1-1111111-1-1-1-1-1-1-1-1111-1-11-1-11111-1-1-1-111-1-11111-1-1111-1
χ151111111-1-1111111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-11-1-1-11111-1-1-1-1111111-1-1-1-1-1-111-1-1-111-111-1-1-1-11111-1-1-1-11111-1-111-11
χ161111111-1-1111111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11-1-11111-1-111-1-111-1-111-1-1-1-1-1-111-111-1-1-111-1-11111-1-111-1-1-1-111111-1
χ17222222-122222-12-12-122-1-122-1-1-1-1-12-122-1-122-1-1-1-1-1-122-1-1-1-1-1-1000000222200002222002200002200002-12-100-1-1-1-1-1-10000-1-1-1-100-1-100-1-10000
χ18222222-122222-12-12-122-1-122-1-1-1-1-12-122-1-122-1-1-1-1-1-122-1-1-1-1-1-100000022-2-20000222200-2-20000-2-20000-21-2100-1-111110000-1-1-1-1001100110000
χ19222222-122222-12-12-122-1-122-1-1-1-1-12-122-1-122-1-1-1-1-1-122-1-1-1-1-1-1000000-2-2220000-2-2-2-200-2-20000-2-200002-12-10011-1-1-1-100001111001100110000
χ20222222-122222-12-12-122-1-122-1-1-1-1-12-122-1-122-1-1-1-1-1-122-1-1-1-1-1-1000000-2-2-2-20000-2-2-2-200220000220000-21-21001111110000111100-1-100-1-10000
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χ22222222-1-2-2222-12-12-122-1-122-1-1-1-1-12-1-2-211-2-2-1-1-1-111-2-21111110000002-2-22000022-2-200-2-20000220000-212-100-1111-1-10000-1-111001100-1-10000
χ23222222-1-2-2222-12-12-122-1-122-1-1-1-1-12-1-2-211-2-2-1-1-1-111-2-2111111000000-222-20000-2-22200-2-200002200002-1-21001-1-1-111000011-1-1001100-1-10000
χ24222222-1-2-2222-12-12-122-1-122-1-1-1-1-12-1-2-211-2-2-1-1-1-111-2-2111111000000-22-220000-2-22200220000-2-20000-212-1001-111-1-1000011-1-100-1-100110000
χ2522222-122222-12-12-122-12-1-1-122-1-1-1-12-1-12222-1-1-1-1-1-1-1-122-1-1-1-100002200222222000022000022000000-12-12-1-100-1-1-1-1-1-1-1-10000-1-100-1-1000000
χ2622222-122222-12-12-122-12-1-1-122-1-1-1-12-1-12222-1-1-1-1-1-1-1-122-1-1-1-100002200-2-222220000-2-20000-2-20000001-21-2-1-1001111-1-1-1-10000110011000000
χ2722222-122222-12-12-122-12-1-1-122-1-1-1-12-1-12222-1-1-1-1-1-1-1-122-1-1-1-10000-2-20022-2-2-2-20000-2-20000-2-2000000-12-121100-1-1-1-111110000110011000000
χ2822222-122222-12-12-122-12-1-1-122-1-1-1-12-1-12222-1-1-1-1-1-1-1-122-1-1-1-10000-2-200-2-2-2-2-2-20000220000220000001-21-21100111111110000-1-100-1-1000000
χ2922222-12-2-222-12-12-122-12-1-1-122-1-1-1-1211-2-2-2-2-1-1-1-11111-2-2111100002-2002-222-2-20000220000-2-2000000-121-2-1100-1-111-1-1110000-1-10011000000
χ3022222-12-2-222-12-12-122-12-1-1-122-1-1-1-1211-2-2-2-2-1-1-1-11111-2-2111100002-200-2222-2-20000-2-20000220000001-2-12-110011-1-1-1-11100001100-1-1000000
χ3122222-12-2-222-12-12-122-12-1-1-122-1-1-1-1211-2-2-2-2-1-1-1-11111-2-211110000-22002-2-2-2220000-2-2000022000000-121-21-100-1-11111-1-100001100-1-1000000
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χ332222-12222-1-1222222-1-1-12-1-1-1-1222-1-12222-1-1-1-1-1-122-1-1-1-1-1-1-1-12222222200-1-1-1-1-1-1-1-10000220000-1-1-1-1000022220000-1-1-1-1-1-1-1-100000000-1-100
χ342222-12222-1-1222222-1-1-12-1-1-1-1222-1-12222-1-1-1-1-1-122-1-1-1-1-1-1-1-12222-2-2-2-200111111110000220000-1-1-1-10000-2-2-2-200001111111100000000-1-100
χ352222-12222-1-1222222-1-1-12-1-1-1-1222-1-12222-1-1-1-1-1-122-1-1-1-1-1-1-1-1-2-2-2-222-2-200-1-1-1-111110000-2-200001111000022-2-20000-1-1-1-11111000000001100
χ362222-12222-1-1222222-1-1-12-1-1-1-1222-1-12222-1-1-1-1-1-122-1-1-1-1-1-1-1-1-2-2-2-2-2-222001111-1-1-1-10000-2-2000011110000-2-22200001111-1-1-1-1000000001100
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χ382222-122-2-2-1-1222222-1-1-12-1-1-1-1222-1-1-2-2-2-211-1-1-1-1-2-2111111112222-22-220011-1-111-1-10000-2-20000-1-1-1-10000-22-22000011-1-111-1-1000000001100
χ392222-122-2-2-1-1222222-1-1-12-1-1-1-1222-1-1-2-2-2-211-1-1-1-1-2-211111111-2-2-2-22-2-2200-1-11111-1-10000220000111100002-2-220000-1-11111-1-100000000-1-100
χ402222-122-2-2-1-1222222-1-1-12-1-1-1-1222-1-1-2-2-2-211-1-1-1-1-2-211111111-2-2-2-2-222-20011-1-1-1-111000022000011110000-222-2000011-1-1-1-11100000000-1-100
χ4122-2-2222002-222-2-2-2-2-22222-22-22-2-2-2-200000022-2-2000000000022-2-2000000000000002-22-200000022-2-2000000000000000000002-22-200000000
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χ894-44-4-24-2-4422-42-424-2-2-21-222-1-12-22-21-442-22-21-1-112-22-2-11-1-11100000000000000−2i32i32i3−2i3000000000000000000000000000000i3−i3−i3i3000000000000
χ904-44-4-24-2-4422-42-424-2-2-21-222-1-12-22-21-442-22-21-1-112-22-2-11-1-111000000000000002i3−2i3−2i32i3000000000000000000000000000000−i3i3i3−i3000000000000
χ914-44-4-2-244-4222-42-4-24-21-2-2-1-1222-221-2-224-4-221-1-11-221-1-2211-1-10000000000−2i32i3−2i32i3000000000000000000000000000000i3−i3i3−i30000000000000000
χ924-44-4-2-244-4222-42-4-24-21-2-2-1-1222-221-2-224-4-221-1-11-221-1-2211-1-100000000002i3−2i32i3−2i3000000000000000000000000000000−i3i3−i3i30000000000000000
χ934-44-4-2-24-44222-42-4-24-21-2-2-1-1222-221-22-2-442-21-1-112-2-112-2-1-1110000000000−2i32i32i3−2i3000000000000000000000000000000i3−i3−i3i30000000000000000
χ944-44-4-2-24-44222-42-4-24-21-2-2-1-1222-221-22-2-442-21-1-112-2-112-2-1-11100000000002i3−2i3−2i32i3000000000000000000000000000000−i3i3i3−i30000000000000000
χ954-4-4444-200-44-424-2-42-44-2-2-442-222-2-42000000-22-220000000000000000000000000000000000004i−4i000000000000000000000000000000−2i2i0000
χ964-4-4444-200-44-424-2-42-44-2-2-442-222-2-42000000-22-22000000000000000000000000000000000000−4i4i0000000000000000000000000000002i−2i0000
χ974-4-444-2400-442-4-242-4-4-24-22-2-4422-22-4000000-22-2200000000000000000000000000000000004i−4i000000000000000000000000000000−2i2i000000
χ984-4-444-2400-442-4-242-4-4-24-22-2-4422-22-4000000-22-220000000000000000000000000000000000−4i4i0000000000000000000000000000002i−2i000000
χ994-4-44-244002-2-4-444-4-42-2-242-22-2-4-4422000000-22-2200000000004-4-44000000000000000000000000-222-200000000000000000000000000000000
χ1004-4-44-244002-2-4-444-4-42-2-242-22-2-4-4422000000-22-220000000000-444-40000000000000000000000002-2-2200000000000000000000000000000000
χ1018888-4-4-488-4-4-4-4-4-4-4-4-4222222222222-4-4-4-4-4-4-1-1-1-1222222-1-1-1-10000000000000000000000000000000000000000000000000000000000000000
χ1028888-4-4-4-8-8-4-4-4-4-4-4-4-4-4222222222222444444-1-1-1-1-2-2-2-2-2-211110000000000000000000000000000000000000000000000000000000000000000
χ10388-8-88-4-4008-8-4-44444-8-4-42-44-442-2-24400000022-2-200000000000000000000000000000000000000000000000000000000000000000000000000
χ10488-8-8-48-400-448-4-84-844-42-4-442-2-4444-200000022-2-200000000000000000000000000000000000000000000000000000000000000000000000000
χ10588-8-8-4-4800-44-484-84-842-4-42-2-44-444-2400000022-2-200000000000000000000000000000000000000000000000000000000000000000000000000
χ10688-8-8-4-4-400-44-4-4444442222-22-22-2-2-2-2000000-1-11100000033−3333−330000000000000000000000000000000000000000000000000000000000000000
χ10788-8-8-4-4-400-44-4-4444442222-22-22-2-2-2-2000000-1-111000000−3333−33330000000000000000000000000000000000000000000000000000000000000000
χ1088-88-8-4-4-48-8444444-4-4-4222-2-2-2-2-22-222-44-44-44-111-12-22-22-2-1-1110000000000000000000000000000000000000000000000000000000000000000
χ1098-88-8-4-4-4-88444444-4-4-4222-2-2-2-2-22-2224-44-44-4-111-1-22-22-2211-1-10000000000000000000000000000000000000000000000000000000000000000
χ1108-8-888-4-400-8844-4-444-8-4-424-44-4-2-22440000002-22-200000000000000000000000000000000000000000000000000000000000000000000000000
χ1118-8-88-48-4004-4-848-4-844-42-44-4-2244-44-20000002-22-200000000000000000000000000000000000000000000000000000000000000000000000000
χ1128-8-88-4-48004-44-8-484-842-4-4-224-444-4-240000002-22-200000000000000000000000000000000000000000000000000000000000000000000000000
χ1138-8-88-4-4-4004-444-4-4444222-22-22-2-22-2-2000000-11-1100000033−33−33330000000000000000000000000000000000000000000000000000000000000000
χ1148-8-88-4-4-4004-444-4-4444222-22-22-2-22-2-2000000-11-11000000−333333−330000000000000000000000000000000000000000000000000000000000000000

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