Finite Group Databasebeta

← Group #11867014

Character table — Group #11867014

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84
size111122222222224444444444444444448888888888888888888888889999181824242424242424243636363636364848484848484848
order122233446666662346668888121212121212121266661212121224242424242424242424242424242424222244444444442488881212121212121212
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-111-1-111-1-1
χ411111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-111-1-111
χ511111111111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111-11-11-11-111-1-1-1-11-11-11-11-1
χ611111111111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-11-11-11-1111-1-1-1-1-11-11-11-11
χ711111111111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-111-1-11-1-111111-1-111-1-11
χ811111111111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-11111-111-1-111-1
χ911111111111111-11-111111-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-111-1-11111-1-1-1-1
χ1011111111111111-11-111111-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-111-1-1-1-1-1-11111
χ1111111111111111-11-111111-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-11111-1-1-1-111
χ1211111111111111-11-111111-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-111-1-11111-1-1
χ1311111111111111-11-1111-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111-11-1-11-11-1-1-1-1111-11-1-11-11
χ1411111111111111-11-1111-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-11-111-11-1-1-1-1-111-11-111-11-1
χ1511111111111111-11-1111-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-11-1-11-111-11111-1-11-1-11-111-1
χ1611111111111111-11-1111-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-111-11-1-111111-1-1-111-11-1-11
χ17222222-2-222222222-22220000-2-2-2-2-2-2-2-22222-2-2-2-200000000000000002222-2-2000000002-2000000000000
χ18222222-2-222222222-22220000-2-2-2-2-2-2-2-22222-2-2-2-20000000000000000-2-2-2-22200000000-22000000000000
χ19222222-2-2222222-2222220000-2-2-2-2-2-2-2-2-2-2-2-2222200000000000000002222-2-200000000-22000000000000
χ20222222-2-2222222-2222220000-2-2-2-2-2-2-2-2-2-2-2-222220000000000000000-2-2-2-222000000002-2000000000000
χ2122222-12222-1-12-12-12-1-1-122222-1-1-12-1-1-12-1-1-12-1-1-122-1-1-1-1-1-122-1-1-1-1-1-10000000022002200000000-1-100-1-1
χ2222222-12222-1-12-12-12-1-1-122222-1-1-12-1-1-12-1-1-12-1-1-122-1-1-1-1-1-122-1-1-1-1-1-100000000-2-200-2-200000000110011
χ2322222-12222-1-12-12-12-1-1-1-2-2-2-22-1-1-12-1-1-12-1-1-12-1-1-1-2-2111111-2-2111111000000002-2002-200000000-1100-11
χ2422222-12222-1-12-12-12-1-1-1-2-2-2-22-1-1-12-1-1-12-1-1-12-1-1-1-2-2111111-2-211111100000000-2200-22000000001-1001-1
χ2522222-12222-1-12-1-2-1-2-1-1-122-2-22-1-1-12-1-1-1-2111-211122-1-1-1-1-1-1-2-2111111000000002200-2-200000000-1-10011
χ2622222-12222-1-12-1-2-1-2-1-1-122-2-22-1-1-12-1-1-1-2111-211122-1-1-1-1-1-1-2-211111100000000-2-20022000000001100-1-1
χ2722222-12222-1-12-1-2-1-2-1-1-1-2-2222-1-1-12-1-1-1-2111-2111-2-211111122-1-1-1-1-1-1000000002-200-2200000000-11001-1
χ2822222-12222-1-12-1-2-1-2-1-1-1-2-2222-1-1-12-1-1-1-2111-2111-2-211111122-1-1-1-1-1-100000000-22002-2000000001-100-11
χ292222-1222-1-122-122-12-1-1-12222-12-1-1-12-1-1-12-1-1-12-1-1-1-122-1-1-1-1-1-122-1-1-1-100000022002200000000-1-100-1-100
χ302222-1222-1-122-122-12-1-1-12222-12-1-1-12-1-1-12-1-1-12-1-1-1-122-1-1-1-1-1-122-1-1-1-1000000-2-200-2-20000000011001100
χ312222-1222-1-122-122-12-1-1-1-2-2-2-2-12-1-1-12-1-1-12-1-1-12-1-111-2-2111111-2-211110000002-2002-200000000-1100-1100
χ322222-1222-1-122-122-12-1-1-1-2-2-2-2-12-1-1-12-1-1-12-1-1-12-1-111-2-2111111-2-21111000000-2200-22000000001-1001-100
χ332222-1222-1-122-12-2-1-2-1-1-122-2-2-12-1-1-12-1-11-2111-211-1-122-1-1-1-111-2-211110000002200-2-200000000-1-1001100
χ342222-1222-1-122-12-2-1-2-1-1-122-2-2-12-1-1-12-1-11-2111-211-1-122-1-1-1-111-2-21111000000-2-20022000000001100-1-100
χ352222-1222-1-122-12-2-1-2-1-1-1-2-222-12-1-1-12-1-11-2111-21111-2-21111-1-122-1-1-1-10000002-200-2200000000-11001-100
χ362222-1222-1-122-12-2-1-2-1-1-1-2-222-12-1-1-12-1-11-2111-21111-2-21111-1-122-1-1-1-1000000-22002-2000000001-100-1100
χ372-2-22222-2-2-2-2-222020-2-22002i−2i2222-2-2-2-200000000000000002i−2i2i−2i2i2i−2i−2i22-2-22-20000000000002i−2i00000000
χ382-2-22222-2-2-2-2-222020-2-22002i−2i2222-2-2-2-200000000000000002i−2i2i−2i2i2i−2i−2i-2-222-22000000000000−2i2i00000000
χ392-2-22222-2-2-2-2-222020-2-2200−2i2i2222-2-2-2-20000000000000000−2i2i−2i2i−2i−2i2i2i22-2-22-2000000000000−2i2i00000000
χ402-2-22222-2-2-2-2-222020-2-2200−2i2i2222-2-2-2-20000000000000000−2i2i−2i2i−2i−2i2i2i-2-222-220000000000002i−2i00000000
χ412-2-2222-22-2-2-2-222020-2-222-200-2-2-2-22222000000002-22-222-2-20000000022-2-2-2200000000002-20000000000
χ422-2-2222-22-2-2-2-222020-2-222-200-2-2-2-22222000000002-22-222-2-200000000-2-2222-20000000000-220000000000
χ432-2-2222-22-2-2-2-222020-2-22-2200-2-2-2-2222200000000-22-22-2-2220000000022-2-2-220000000000-220000000000
χ442-2-2222-22-2-2-2-222020-2-22-2200-2-2-2-2222200000000-22-22-2-22200000000-2-2222-200000000002-20000000000
χ4544444-2-4-444-2-24-24-2-4-2-2-20000-4222-42224-2-2-2-422200000000000000000000000000000000000000000000
χ4644444-2-4-444-2-24-2-4-24-2-2-20000-4222-4222-42224-2-2-200000000000000000000000000000000000000000000
χ474444-24-4-4-2-244-244-2-4-2-2-200002-4222-422-24-2-22-42200000000000000000000000000000000000000000000
χ484444-24-4-4-2-244-24-4-24-2-2-200002-4222-4222-422-24-2-200000000000000000000000000000000000000000000
χ494444-2-244-2-2-2-2-2-24141114444-2-211-2-211-2-211-2-211-2-2-2-21111-2-2-2-211110000000000000000000000000000
χ504444-2-244-2-2-2-2-2-2414111-4-4-4-4-2-211-2-211-2-211-2-2112222-1-1-1-12222-1-1-1-10000000000000000000000000000
χ514444-2-244-2-2-2-2-2-2-41-411144-4-4-2-211-2-21122-1-122-1-1-2-2-2-211112222-1-1-1-10000000000000000000000000000
χ524444-2-244-2-2-2-2-2-2-41-4111-4-444-2-211-2-21122-1-122-1-12222-1-1-1-1-2-2-2-211110000000000000000000000000000
χ534444-2-2-4-4-2-2-2-2-2-241-4111000022-1-122-1-1-2-21122-1-100003i−3i3i−3i00003i−3i3i−3i0000000000000000000000000000
χ544444-2-2-4-4-2-2-2-2-2-241-4111000022-1-122-1-1-2-21122-1-10000−3i3i−3i3i0000−3i3i−3i3i0000000000000000000000000000
χ554444-2-2-4-4-2-2-2-2-2-2-414111000022-1-122-1-122-1-1-2-21100003i−3i3i−3i0000−3i3i−3i3i0000000000000000000000000000
χ564444-2-2-4-4-2-2-2-2-2-2-414111000022-1-122-1-122-1-1-2-2110000−3i3i−3i3i00003i−3i3i−3i0000000000000000000000000000
χ5744-4-444004-44-4-4-40404-4-40000000000000000000000000000000000004-44-4000000000000000000000000
χ5844-4-444004-44-4-4-40404-4-4000000000000000000000000000000000000-44-44000000000000000000000000
χ594-44-44400-44-44-4-4040-44-40000000000000000000000000000000000004-4-44000000000000000000000000
χ604-44-44400-44-44-4-4040-44-4000000000000000000000000000000000000-444-4000000000000000000000000
χ614-4-444-24-4-4-4224-20-2022-2004i−4i4-2-2-2-422200000000000000004i−4i−2i2i−2i−2i2i2i0000000000000000000000000000
χ624-4-444-24-4-4-4224-20-2022-200−4i4i4-2-2-2-42220000000000000000−4i4i2i−2i2i2i−2i−2i0000000000000000000000000000
χ634-4-444-2-44-4-4224-20-2022-24-400-42224-2-2-2000000004-4-22-2-222000000000000000000000000000000000000
χ644-4-444-2-44-4-4224-20-2022-2-4400-42224-2-2-200000000-442-222-2-2000000000000000000000000000000000000
χ654-4-44-244-422-4-4-240-2022-2004i−4i-24-2-22-4220000000000000000−2i2i4i−4i−2i−2i2i2i0000000000000000000000000000
χ664-4-44-244-422-4-4-240-2022-200−4i4i-24-2-22-42200000000000000002i−2i−4i4i2i2i−2i−2i0000000000000000000000000000
χ674-4-44-24-4422-4-4-240-2022-24-4002-422-24-2-200000000-224-4-2-222000000000000000000000000000000000000
χ684-4-44-24-4422-4-4-240-2022-2-44002-422-24-2-2000000002-2-4422-2-2000000000000000000000000000000000000
χ694-4-44-2-24-42222-2-2010-1-11004i−4i-2-21122-1-1003-3003-300003i−3i−3i3i−2i2i−2i2iii−i−i0000000000000000000000000000
χ704-4-44-2-24-42222-2-2010-1-11004i−4i-2-21122-1-100-3300-330000−3i3i3i−3i−2i2i−2i2iii−i−i0000000000000000000000000000
χ714-4-44-2-24-42222-2-2010-1-1100−4i4i-2-21122-1-1003-3003-30000−3i3i3i−3i2i−2i2i−2i−i−iii0000000000000000000000000000
χ724-4-44-2-24-42222-2-2010-1-1100−4i4i-2-21122-1-100-3300-3300003i−3i−3i3i2i−2i2i−2i−i−iii0000000000000000000000000000
χ734-4-44-2-2-442222-2-2010-1-114-40022-1-1-2-211003-300-33-22-2211-1-100003-3-330000000000000000000000000000
χ744-4-44-2-2-442222-2-2010-1-114-40022-1-1-2-21100-33003-3-22-2211-1-10000-333-30000000000000000000000000000
χ754-4-44-2-2-442222-2-2010-1-11-440022-1-1-2-211003-300-332-22-2-1-1110000-333-30000000000000000000000000000
χ764-4-44-2-2-442222-2-2010-1-11-440022-1-1-2-21100-33003-32-22-2-1-11100003-3-330000000000000000000000000000
χ7788-8-88-4008-8-44-840-40-4440000000000000000000000000000000000000000000000000000000000000000
χ7888-8-8-4800-448-84-80-40-4440000000000000000000000000000000000000000000000000000000000000000
χ7988-8-8-4-400-44-44440202-2-20000006i−6i006i−6i0000000000000000000000000000000000000000000000000000
χ8088-8-8-4-400-44-44440202-2-2000000−6i6i00−6i6i0000000000000000000000000000000000000000000000000000
χ818-88-88-400-884-4-840-404-440000000000000000000000000000000000000000000000000000000000000000
χ828-88-8-48004-4-884-80-404-440000000000000000000000000000000000000000000000000000000000000000
χ838-88-8-4-4004-44-444020-22-20000006i−6i00−6i6i0000000000000000000000000000000000000000000000000000
χ848-88-8-4-4004-44-444020-22-2000000−6i6i006i−6i0000000000000000000000000000000000000000000000000000

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