Finite Group Databasebeta

← Group #11863633

Character table — Group #11863633

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90
size11112244444444444488121212121212121212121212181824242424242436363636361111224444444444448812121212121212121212121218182424242424243636363636
order12222233666666666666444412121212121212124424661212488882222226666666666666644441212121212121212442466121248888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111-1-1-1-1-1-11-1-1-1-11111111111111111111111111111111111-1-1-1-1-1-11-1-1-1-1
χ311111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-1-1-1
χ411111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-111111
χ51111-1-11111-1-1-1-11111-1-111-1-11111-1-1-1-1111-111-1-1-111-1-11111-1-11111-1-1-1-11111-1-111-1-11111-1-1-1-1111-111-1-1-111-1-1
χ61111-1-11111-1-1-1-11111-1-111-1-11111-1-1-1-111-11-1-111-1-1-1111111-1-11111-1-1-1-11111-1-111-1-11111-1-1-1-111-11-1-111-1-1-111
χ71111-1-11111-1-1-1-11111-1-1-1-111-1-1-1-11111111-111-1-1-1-1-1111111-1-11111-1-1-1-11111-1-1-1-111-1-1-1-11111111-111-1-1-1-1-111
χ81111-1-11111-1-1-1-11111-1-1-1-111-1-1-1-1111111-11-1-111-111-1-11111-1-11111-1-1-1-11111-1-1-1-111-1-1-1-1111111-11-1-111-111-1-1
χ922222222222222222222000000000000-2-2000000-2000022222222222222222222000000000000-2-2000000-20000
χ102222-2-22222-2-2-2-22222-2-2000000000000-2-2000000200002222-2-22222-2-2-2-22222-2-2000000000000-2-200000020000
χ112-22-22-2222-222-2-2-2-22-22-2000000000000000000000−i2i2−i2i22-22-22-2222-222-2-2-2-22-22-2000000000000000000000−i2i2−i2i2
χ122-22-22-2222-222-2-2-2-22-22-2000000000000000000000i2−i2i2−i22-22-22-2222-222-2-2-2-22-22-2000000000000000000000i2−i2i2−i2
χ132-22-2-22222-2-2-222-2-22-2-22000000000000000000000−i2i2i2−i22-22-2-22222-2-2-222-2-22-2-22000000000000000000000−i2i2i2−i2
χ142-22-2-22222-2-2-222-2-22-2-22000000000000000000000i2−i2−i2i22-22-2-22222-2-2-222-2-22-2-22000000000000000000000i2−i2−i2i2
χ152-2-220022-2-200002-2-2200002-2000022-2-22-2000000000002-2-220022-2-200002-2-2200002-2000022-2-22-200000000000
χ162-2-220022-2-200002-2-220000-220000-2-2222-2000000000002-2-220022-2-200002-2-220000-220000-2-2222-200000000000
χ172-2-220022-2-200002-2-22002-20022-2-20000-22000000000002-2-220022-2-200002-2-22002-20022-2-20000-2200000000000
χ182-2-220022-2-200002-2-2200-2200-2-2220000-22000000000002-2-220022-2-200002-2-2200-2200-2-2220000-2200000000000
χ194444441-2111111-2-2-21-2-22222-1-1-1-1-1-1-1-100000000000004444441-2111111-2-2-21-2-22222-1-1-1-1-1-1-1-10000000000000
χ204444441-2111111-2-2-21-2-2-2-2-2-21111111100000000000004444441-2111111-2-2-21-2-2-2-2-2-2111111110000000000000
χ21444444-21-2-2-2-2-2-2111-2110000000000000022-1-1-1-100000444444-21-2-2-2-2-2-2111-2110000000000000022-1-1-1-100000
χ22444444-21-2-2-2-2-2-2111-21100000000000000-2-2111100000444444-21-2-2-2-2-2-2111-21100000000000000-2-2111100000
χ234444-4-41-211-1-1-1-1-2-2-212222-2-2-1-1-1-1111100000000000004444-4-41-211-1-1-1-1-2-2-212222-2-2-1-1-1-111110000000000000
χ244444-4-41-211-1-1-1-1-2-2-2122-2-2221111-1-1-1-100000000000004444-4-41-211-1-1-1-1-2-2-2122-2-2221111-1-1-1-10000000000000
χ254444-4-4-21-2-22222111-2-1-1000000000000002-2-1-111000004444-4-4-21-2-22222111-2-1-1000000000000002-2-1-11100000
χ264444-4-4-21-2-22222111-2-1-100000000000000-2211-1-1000004444-4-4-21-2-22222111-2-1-100000000000000-2211-1-100000
χ2744-4-4001-2-113-33-32-22-10000003−33−33−33−3000000000000044-4-4001-2-113-33-32-22-10000003−33−33−33−30000000000000
χ2844-4-4001-2-113-33-32-22-1000000−33−33−33−33000000000000044-4-4001-2-113-33-32-22-1000000−33−33−33−330000000000000
χ2944-4-4001-2-11-33-332-22-10000003−33−3−33−33000000000000044-4-4001-2-11-33-332-22-10000003−33−3−33−330000000000000
χ3044-4-4001-2-11-33-332-22-1000000−33−333−33−3000000000000044-4-4001-2-11-33-332-22-1000000−33−333−33−30000000000000
χ3144-4-40044-440000-44-4-400000000000000000000000000044-4-40044-440000-44-4-4000000000000000000000000000
χ324-44-44-41-21-111-1-122-2-1-2200003−3−333−3−3300000000000004-44-44-41-21-111-1-122-2-1-2200003−3−333−3−330000000000000
χ334-44-44-41-21-111-1-122-2-1-220000−333−3−333−300000000000004-44-44-41-21-111-1-122-2-1-220000−333−3−333−30000000000000
χ344-44-44-4-21-22-2-222-1-1121-10000000000000000−i3i3−i3i3000004-44-44-4-21-22-2-222-1-1121-10000000000000000−i3i3−i3i300000
χ354-44-44-4-21-22-2-222-1-1121-10000000000000000i3−i3i3−i3000004-44-44-4-21-22-2-222-1-1121-10000000000000000i3−i3i3−i300000
χ364-44-4-441-21-1-1-11122-2-12-200003−3−33−333−300000000000004-44-4-441-21-1-1-11122-2-12-200003−3−33−333−30000000000000
χ374-44-4-441-21-1-1-11122-2-12-20000−333−33−3−3300000000000004-44-4-441-21-1-1-11122-2-12-20000−333−33−3−330000000000000
χ384-44-4-44-21-2222-2-2-1-112-110000000000000000−i3i3i3−i3000004-44-4-44-21-2222-2-2-1-112-110000000000000000−i3i3i3−i300000
χ394-44-4-44-21-2222-2-2-1-112-110000000000000000i3−i3−i3i3000004-44-4-44-21-2222-2-2-1-112-110000000000000000i3−i3−i3i300000
χ404-4-44001-2-1-13-3-33-2221002-22-2-1-111-1-11100000000000004-4-44001-2-1-13-3-33-2221002-22-2-1-111-1-1110000000000000
χ414-4-44001-2-1-13-3-33-222100-22-2211-1-111-1-100000000000004-4-44001-2-1-13-3-33-222100-22-2211-1-111-1-10000000000000
χ424-4-44001-2-1-1-333-3-2221002-2-22-1-11111-1-100000000000004-4-44001-2-1-1-333-3-2221002-2-22-1-11111-1-10000000000000
χ434-4-44001-2-1-1-333-3-222100-222-211-1-1-1-11100000000000004-4-44001-2-1-1-333-3-222100-222-211-1-1-1-1110000000000000
χ4488-8-800-424-40000-22-2400000000000000000000000000088-8-800-424-40000-22-24000000000000000000000000000
χ458-8-8800-424400002-2-2-40000000000000000000000000008-8-8800-424400002-2-2-4000000000000000000000000000
χ46111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ471111111111111111111111111111111111-1-1-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-11111
χ4811111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-11111
χ4911111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1111111-1-1-1-1-1
χ501111-1-11111-1-1-1-11111-1-111-1-11111-1-1-1-1111-111-1-1-111-1-1-1-1-1-111-1-1-1-11111-1-1-1-111-1-111-1-1-1-11111-1-1-11-1-1111-1-111
χ511111-1-11111-1-1-1-11111-1-111-1-11111-1-1-1-111-11-1-111-1-1-111-1-1-1-111-1-1-1-11111-1-1-1-111-1-111-1-1-1-11111-1-11-111-1-1111-1-1
χ521111-1-11111-1-1-1-11111-1-1-1-111-1-1-1-11111111-111-1-1-1-1-111-1-1-1-111-1-1-1-11111-1-1-1-11111-1-11111-1-1-1-1-1-1-11-1-111111-1-1
χ531111-1-11111-1-1-1-11111-1-1-1-111-1-1-1-1111111-11-1-111-111-1-1-1-1-1-111-1-1-1-11111-1-1-1-11111-1-11111-1-1-1-1-1-11-111-1-11-1-111
χ5422222222222222222222000000000000-2-2000000-20000-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-20000000000002200000020000
χ552222-2-22222-2-2-2-22222-2-2000000000000-2-200000020000-2-2-2-222-2-2-2-22222-2-2-2-22200000000000022000000-20000
χ562-22-22-2222-222-2-2-2-22-22-2000000000000000000000−i2i2−i2i2-22-22-22-2-2-22-2-22222-22-22000000000000000000000i2−i2i2−i2
χ572-22-22-2222-222-2-2-2-22-22-2000000000000000000000i2−i2i2−i2-22-22-22-2-2-22-2-22222-22-22000000000000000000000−i2i2−i2i2
χ582-22-2-22222-2-2-222-2-22-2-22000000000000000000000−i2i2i2−i2-22-222-2-2-2-2222-2-222-222-2000000000000000000000i2−i2−i2i2
χ592-22-2-22222-2-2-222-2-22-2-22000000000000000000000i2−i2−i2i2-22-222-2-2-2-2222-2-222-222-2000000000000000000000−i2i2i2−i2
χ602-2-220022-2-200002-2-2200002-2000022-2-22-200000000000-222-200-2-2220000-222-20000-220000-2-222-2200000000000
χ612-2-220022-2-200002-2-220000-220000-2-2222-200000000000-222-200-2-2220000-222-200002-2000022-2-2-2200000000000
χ622-2-220022-2-200002-2-22002-20022-2-20000-2200000000000-222-200-2-2220000-222-200-2200-2-22200002-200000000000
χ632-2-220022-2-200002-2-2200-2200-2-2220000-2200000000000-222-200-2-2220000-222-2002-20022-2-200002-200000000000
χ644444441-2111111-2-2-21-2-22222-1-1-1-1-1-1-1-10000000000000-4-4-4-4-4-4-12-1-1-1-1-1-1222-122-2-2-2-2111111110000000000000
χ654444441-2111111-2-2-21-2-2-2-2-2-2111111110000000000000-4-4-4-4-4-4-12-1-1-1-1-1-1222-1222222-1-1-1-1-1-1-1-10000000000000
χ66444444-21-2-2-2-2-2-2111-2110000000000000022-1-1-1-100000-4-4-4-4-4-42-1222222-1-1-12-1-100000000000000-2-2111100000
χ67444444-21-2-2-2-2-2-2111-21100000000000000-2-2111100000-4-4-4-4-4-42-1222222-1-1-12-1-10000000000000022-1-1-1-100000
χ684444-4-41-211-1-1-1-1-2-2-212222-2-2-1-1-1-111110000000000000-4-4-4-444-12-1-11111222-1-2-2-2-2221111-1-1-1-10000000000000
χ694444-4-41-211-1-1-1-1-2-2-2122-2-2221111-1-1-1-10000000000000-4-4-4-444-12-1-11111222-1-2-222-2-2-1-1-1-111110000000000000
χ704444-4-4-21-2-22222111-2-1-1000000000000002-2-1-11100000-4-4-4-4442-122-2-2-2-2-1-1-121100000000000000-2211-1-100000
χ714444-4-4-21-2-22222111-2-1-100000000000000-2211-1-100000-4-4-4-4442-122-2-2-2-2-1-1-1211000000000000002-2-1-11100000
χ7244-4-4001-2-113-33-32-22-10000003−33−33−33−30000000000000-4-44400-121-1-33-33-22-21000000−33−33−33−330000000000000
χ7344-4-4001-2-113-33-32-22-1000000−33−33−33−330000000000000-4-44400-121-1-33-33-22-210000003−33−33−33−30000000000000
χ7444-4-4001-2-11-33-332-22-10000003−33−3−33−330000000000000-4-44400-121-13-33-3-22-21000000−33−333−33−30000000000000
χ7544-4-4001-2-11-33-332-22-1000000−33−333−33−30000000000000-4-44400-121-13-33-3-22-210000003−33−3−33−330000000000000
χ7644-4-40044-440000-44-4-4000000000000000000000000000-4-44400-4-44-400004-444000000000000000000000000000
χ774-44-44-41-21-111-1-122-2-1-2200003−3−333−3−330000000000000-44-44-44-12-11-1-111-2-2212-20000−333−3−333−30000000000000
χ784-44-44-41-21-111-1-122-2-1-220000−333−3−333−30000000000000-44-44-44-12-11-1-111-2-2212-200003−3−333−3−330000000000000
χ794-44-44-4-21-22-2-222-1-1121-10000000000000000−i3i3−i3i300000-44-44-442-12-222-2-211-1-2-110000000000000000i3−i3i3−i300000
χ804-44-44-4-21-22-2-222-1-1121-10000000000000000i3−i3i3−i300000-44-44-442-12-222-2-211-1-2-110000000000000000−i3i3−i3i300000
χ814-44-4-441-21-1-1-11122-2-12-200003−3−33−333−30000000000000-44-444-4-12-1111-1-1-2-221-220000−333−33−3−330000000000000
χ824-44-4-441-21-1-1-11122-2-12-20000−333−33−3−330000000000000-44-444-4-12-1111-1-1-2-221-2200003−3−33−333−30000000000000
χ834-44-4-44-21-2222-2-2-1-112-110000000000000000−i3i3i3−i300000-44-444-42-12-2-2-22211-1-21-10000000000000000i3−i3−i3i300000
χ844-44-4-44-21-2222-2-2-1-112-110000000000000000i3−i3−i3i300000-44-444-42-12-2-2-22211-1-21-10000000000000000−i3i3i3−i300000
χ854-4-44001-2-1-13-3-33-2221002-22-2-1-111-1-1110000000000000-444-400-1211-333-32-2-2-100-22-2211-1-111-1-10000000000000
χ864-4-44001-2-1-13-3-33-222100-22-2211-1-111-1-10000000000000-444-400-1211-333-32-2-2-1002-22-2-1-111-1-1110000000000000
χ874-4-44001-2-1-1-333-3-2221002-2-22-1-11111-1-10000000000000-444-400-12113-3-332-2-2-100-222-211-1-1-1-1110000000000000
χ884-4-44001-2-1-1-333-3-222100-222-211-1-1-1-1110000000000000-444-400-12113-3-332-2-2-1002-2-22-1-11111-1-10000000000000
χ8988-8-800-424-40000-22-24000000000000000000000000000-8-888004-2-4400002-22-4000000000000000000000000000
χ908-8-8800-424400002-2-2-4000000000000000000000000000-888-8004-2-4-40000-2224000000000000000000000000000

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