Finite Group Databasebeta

← Group #11878514

Character table — Group #11878514

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87
size111122222222224444444444444444444488888888888888888888888121212121212242424242424242424242424242424242436364848727272
order1222334466666623466666666666121212121212441212121212121212121212121212121212121212122244882444666681212121224242424881212248
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111-1-111-1-11111-11111-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111-1-1-1-111-1-111-1-1-1-11-1-1-1-11111-1-111-1-1-1
χ4111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1111
χ51111111111111111111111111111111111-1-1-1-1-1-11-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-111-1-1111-1-1111111-1-1-1-11
χ61111111111111111111111111111111111-1-1-1-1-1-11-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-111-1-1-1-1-1-1-1-11111-1
χ71111111111111111111111111111111111-1-1-1-1-1-11-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111-1-1111111-1-1-1-111-1
χ81111111111111111111111111111111111-1-1-1-1-1-11-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-111-1-1-1-11111-1-11
χ911111111111111-11-1-1-1-1-11-1-1-1-11111-1-1111-111-1-1-111-1-111-1-11111-1-1-1-11-11-1111-11-11-111-11-1-1-111-1-1-1-11-11-11
χ1011111111111111-11-1-1-1-1-11-1-1-1-11111-1-1111-111-1-1-111-1-111-1-11111-1-1-1-11-11-1-1-11-1-111-11111-1-1-1-1-11111-11-11-1
χ1111111111111111-11-1-1-1-1-11-1-1-1-11111-1-1111-111-1-1-111-1-111-1-11111-1-1-1-1-11-1111-111-1-11-1-1-1-111111-1-1111-1-11-1
χ1211111111111111-11-1-1-1-1-11-1-1-1-11111-1-1111-111-1-1-111-1-111-1-11111-1-1-1-1-11-11-1-1-11-11-11-1-11-1111-1-111-1-1-111-11
χ1311111111111111-11-1-1-1-1-11-1-1-1-11111-1-111-11-1-111-1-1-11111-1-1-1-1-1-111111-11-111-11-111-1-1-1-11-11111-1-1-1-1-11-111
χ1411111111111111-11-1-1-1-1-11-1-1-1-11111-1-111-11-1-111-1-1-11111-1-1-1-1-1-111111-11-1-1-1-111-11-1-1-111-111-1-111111-11-1-1
χ1511111111111111-11-1-1-1-1-11-1-1-1-11111-1-111-11-1-111-1-1-11111-1-1-1-1-1-11111-11-11111-1-11-1111-1-11-1-111-1-111-111-1-1
χ1611111111111111-11-1-1-1-1-11-1-1-1-11111-1-111-11-1-111-1-1-11111-1-1-1-1-1-11111-11-11-1-11-11-1-11111-11-1-1-1-111-1-11-1-111
χ17222222-2-222222222-222222222222-2-2-2-2-2-2000000-20000-2-2-2-2000000002-2-220000002-2000-220000000000000
χ18222222-2-222222222-222222222222-2-2-2-2-2-2000000-20000-2-2-2-200000000-222-2000000-220002-20000000000000
χ19222222-2-2222222-222-2-2-2-22-2-2-2-222-2-222-2-200000020000-2-2220000000022-2-200000022000-2-20000000000000
χ20222222-2-2222222-222-2-2-2-22-2-2-2-222-2-222-2-200000020000-2-22200000000-2-222000000-2-2000220000000000000
χ2122222-1222-1-122-12-1222-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-122222-1-1-1-1-1-1-1-1-1-1-1-12222002200-1-1-1-10-1-1-1-100000000000
χ2222222-1222-1-122-12-1222-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-122222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-200-2-20011110111100000000000
χ2322222-1222-1-122-12-1222-1-1-1-1-1-1-1-1-1-1-1-1-122-2-211112-2-2-2-2-1-1-1-111111111222200-2-200-1-1110-1-11100000000000
χ2422222-1222-1-122-12-1222-1-1-1-1-1-1-1-1-1-1-1-1-122-2-211112-2-2-2-2-1-1-1-111111111-2-2-2-200220011-1-1011-1-100000000000
χ2522222-1222-1-122-1-2-1-2-2-211-11111-1-1-1-111222-2-1-111-222-2-2-1-111-1-1-1-111112-22-2002-200-11-1-10-111100000000000
χ2622222-1222-1-122-1-2-1-2-2-211-11111-1-1-1-111222-2-1-111-222-2-2-1-111-1-1-1-11111-22-2200-22001-11101-1-1-100000000000
χ2722222-1222-1-122-1-2-1-2-2-211-11111-1-1-1-11122-2211-1-1-2-2-222-1-1111111-1-1-1-12-22-200-2200-11110-11-1-100000000000
χ2822222-1222-1-122-1-2-1-2-2-211-11111-1-1-1-11122-2211-1-1-2-2-222-1-1111111-1-1-1-1-22-22002-2001-1-1-101-11100000000000
χ2922222-1-2-22-1-122-12-1-222-1-1-1-1-1-1-1-1-11111-2-200−i3i3−i3i3-200001111−i3−i3i3i3−i3−i3i3i32-2-22000000-11−i3i301-1−i3i300000000000
χ3022222-1-2-22-1-122-12-1-222-1-1-1-1-1-1-1-1-11111-2-200−i3i3−i3i3-200001111−i3−i3i3i3−i3−i3i3i3-222-20000001-1i3−i30-11i3−i300000000000
χ3122222-1-2-22-1-122-12-1-222-1-1-1-1-1-1-1-1-11111-2-200i3−i3i3−i3-200001111i3i3−i3−i3i3i3−i3−i32-2-22000000-11i3−i301-1i3−i300000000000
χ3222222-1-2-22-1-122-12-1-222-1-1-1-1-1-1-1-1-11111-2-200i3−i3i3−i3-200001111i3i3−i3−i3i3i3−i3−i3-222-20000001-1−i3i30-11−i3i300000000000
χ3322222-1-2-22-1-122-1-2-12-2-211-11111-1-111-1-1-2-200−i3i3i3−i32000011-1-1−i3−i3i3i3i3i3−i3−i322-2-2000000-1-1−i3i3011i3−i300000000000
χ3422222-1-2-22-1-122-1-2-12-2-211-11111-1-111-1-1-2-200−i3i3i3−i32000011-1-1−i3−i3i3i3i3i3−i3−i3-2-22200000011i3−i30-1-1−i3i300000000000
χ3522222-1-2-22-1-122-1-2-12-2-211-11111-1-111-1-1-2-200i3−i3−i3i32000011-1-1i3i3−i3−i3−i3−i3i3i322-2-2000000-1-1i3−i3011−i3i300000000000
χ3622222-1-2-22-1-122-1-2-12-2-211-11111-1-111-1-1-2-200i3−i3−i3i32000011-1-1i3i3−i3−i3−i3−i3i3i3-2-22200000011−i3i30-1-1i3−i300000000000
χ372222-1222-122-1-122-12-1-122-1-1-1-1-1-1-12222-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000220022000020000-1-1-1-100-1-1000
χ382222-1222-122-1-122-12-1-122-1-1-1-1-1-1-12222-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000-2-200-2-20000-2000011110011000
χ392222-1222-122-1-122-12-1-122-1-1-1-1-1-1-12222-1-1-2-2-2-2-2-2-11111-1-1-1-11111111100002200-2-2000020000-1-1-1-10011000
χ402222-1222-122-1-122-12-1-122-1-1-1-1-1-1-12222-1-1-2-2-2-2-2-2-11111-1-1-1-1111111110000-2-200220000-20000111100-1-1000
χ412222-1222-122-1-12-2-1-211-2-2-11111-1-122-2-2-1-12-222-2-21-1-111-1-111-1-1-1-11111000022002-20000-20000-1-11100-11000
χ422222-1222-122-1-12-2-1-211-2-2-11111-1-122-2-2-1-12-222-2-21-1-111-1-111-1-1-1-111110000-2-200-2200002000011-1-1001-1000
χ432222-1222-122-1-12-2-1-211-2-2-11111-1-122-2-2-1-1-22-2-222111-1-1-1-1111111-1-1-1-100002200-220000-20000-1-111001-1000
χ442222-1222-122-1-12-2-1-211-2-2-11111-1-122-2-2-1-1-22-2-222111-1-1-1-1111111-1-1-1-10000-2-2002-200002000011-1-100-11000
χ454444-24-4-4-244-2-244-2-4-2-244-2-2-2-2-2-2-2-4-4-4-42200000020000222200000000000000000000000000000000000000
χ464444-24-4-4-244-2-24-4-2422-4-4-22222-2-2-4-44422000000-2000022-2-200000000000000000000000000000000000000
χ474444-2-244-2-2-2-2-2-2414-2-2-2-21111111-2-2-2-2-2-244-2-2-2-2-2-2-2-2-2111111111111000000000000000000000000000000
χ484444-2-244-2-2-2-2-2-2414-2-2-2-21111111-2-2-2-2-2-2-4-42222-222221111-1-1-1-1-1-1-1-1000000000000000000000000000000
χ494444-2-244-2-2-2-2-2-2-41-422221-1-1-1-111-2-222-2-24-4-2-2222-2-22211-1-11111-1-1-1-1000000000000000000000000000000
χ504444-2-244-2-2-2-2-2-2-41-422221-1-1-1-111-2-222-2-2-4422-2-2222-2-211-1-1-1-1-1-11111000000000000000000000000000000
χ514444-2-2-4-4-2-2-2-2-2-241-4-2-2-2-2111111122222200−2i32i3−2i32i320000-1-1-1-1i3i3−i3−i3i3i3−i3−i3000000000000000000000000000000
χ524444-2-2-4-4-2-2-2-2-2-241-4-2-2-2-21111111222222002i3−2i32i3−2i320000-1-1-1-1−i3−i3i3i3−i3−i3i3i3000000000000000000000000000000
χ534444-2-2-4-4-2-2-2-2-2-2-41422221-1-1-1-11122-2-22200−2i32i32i3−2i3-20000-1-111i3i3−i3−i3−i3−i3i3i3000000000000000000000000000000
χ544444-2-2-4-4-2-2-2-2-2-2-41422221-1-1-1-11122-2-222002i3−2i3−2i32i3-20000-1-111−i3−i3i3i3i3i3−i3−i3000000000000000000000000000000
χ5544-4-4440044-4-4-4-4040000040000-4-400000000000000000000000000000000022−22000000000000022−22000000000
χ5644-4-4440044-4-4-4-4040000040000-4-4000000000000000000000000000000000−22220000000000000−2222000000000
χ5744-4-4-2400-24-422-40-20−2i32i300-2−2i3−2i32i32i32200000000000000000000000000000000022−220000000000000−22i6−i60000000
χ5844-4-4-2400-24-422-40-20−2i32i300-2−2i3−2i32i32i322000000000000000000000000000000000−222200000000000002−2−i6i60000000
χ5944-4-4-2400-24-422-40-202i3−2i300-22i32i3−2i3−2i32200000000000000000000000000000000022−220000000000000−22−i6i60000000
χ6044-4-4-2400-24-422-40-202i3−2i300-22i32i3−2i3−2i322000000000000000000000000000000000−222200000000000002−2i6−i60000000
χ614-44-4444-4-4-4-44-440400000-400004-44-4004-4000000000004-40000000000000000000000000000000000000000
χ624-44-444-44-4-4-44-440400000-400004-4-4400-4400000000000-440000000000000000000000000000000000000000
χ634-44-44-24-4-4224-4-20-2000−2i32i32−2i32i3−2i32i3-22-22−2i32i34-400000000000-22−2i32i300000000000000000000000000000000000000
χ644-44-44-24-4-4224-4-20-20002i3−2i322i3−2i32i3−2i3-22-222i3−2i34-400000000000-222i3−2i300000000000000000000000000000000000000
χ654-44-44-2-44-4224-4-20-2000−2i32i32−2i32i3−2i32i3-222-22i3−2i3-44000000000002-22i3−2i300000000000000000000000000000000000000
χ664-44-44-2-44-4224-4-20-20002i3−2i322i3−2i32i3−2i3-222-2−2i32i3-44000000000002-2−2i32i300000000000000000000000000000000000000
χ674-44-4-244-42-4-4-2240-20000020000-224-400-2200000000023−23-2200000023−2323−23000000000000000000000000000000
χ684-44-4-244-42-4-4-2240-20000020000-224-400-22000000000−2323-22000000−2323−2323000000000000000000000000000000
χ694-44-4-24-442-4-4-2240-20000020000-22-44002-2000000023−23002-20023−2323−230000000000000000000000000000000000
χ704-44-4-24-442-4-4-2240-20000020000-22-44002-20000000−2323002-200−2323−23230000000000000000000000000000000000
χ714-44-4-2-24-4222-22-201000−2i32i3-1i3−i3i3−i31-1-22−2i32i3-2200000000023−231-1i3−i33i−3i−3i3i−33−33000000000000000000000000000000
χ724-44-4-2-24-4222-22-201000−2i32i3-1i3−i3i3−i31-1-22−2i32i3-22000000000−23231-1i3−i3−3i3i3i−3i3−33−3000000000000000000000000000000
χ734-44-4-2-24-4222-22-2010002i3−2i3-1−i3i3−i3i31-1-222i3−2i3-2200000000023−231-1−i3i3−3i3i3i−3i−33−33000000000000000000000000000000
χ744-44-4-2-24-4222-22-2010002i3−2i3-1−i3i3−i3i31-1-222i3−2i3-22000000000−23231-1−i3i33i−3i−3i3i3−33−3000000000000000000000000000000
χ754-44-4-2-2-44222-22-201000−2i32i3-1i3−i3i3−i31-12-22i3−2i32-2000000023−2300-11−i3i3−33−333i−3i−3i3i000000000000000000000000000000
χ764-44-4-2-2-44222-22-201000−2i32i3-1i3−i3i3−i31-12-22i3−2i32-20000000−232300-11−i3i33−33−3−3i3i3i−3i000000000000000000000000000000
χ774-44-4-2-2-44222-22-2010002i3−2i3-1−i3i3−i3i31-12-2−2i32i32-2000000023−2300-11i3−i3−33−33−3i3i3i−3i000000000000000000000000000000
χ784-44-4-2-2-44222-22-2010002i3−2i3-1−i3i3−i3i31-12-2−2i32i32-20000000−232300-11i3−i33−33−33i−3i−3i3i000000000000000000000000000000
χ794-4-444400-4-44-44-40400000-40000-44000000000000000000000000000000000000000000000000000022−2200000
χ804-4-444400-4-44-44-40400000-40000-440000000000000000000000000000000000000000000000000000−222200000
χ8188-8-88-4008-44-8-840-400000-400004400000000000000000000000000000000000000000000000000000000000
χ8288-8-8-4-400-4-44444020−4i34i30022i32i3−2i3−2i3-2-200000000000000000000000000000000000000000000000000000000000
χ8388-8-8-4-400-4-444440204i3−4i3002−2i3−2i32i32i3-2-200000000000000000000000000000000000000000000000000000000000
χ848-8-888-400-84-4-8840-400000400004-400000000000000000000000000000000000000000000000000000000000
χ858-8-88-48004-884-4-80-400000400004-400000000000000000000000000000000000000000000000000000000000
χ868-8-88-4-40044-44-440200000-26-6-66-2200000000000000000000000000000000000000000000000000000000000
χ878-8-88-4-40044-44-440200000-2-666-6-2200000000000000000000000000000000000000000000000000000000000

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