Finite Group Databasebeta

← Group #11782074

Character table — Group #11782074

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81
size111122222222222244444444444444444888888888888888888888888242424242424242424242424363636364848484848487272
order122233444466666634666121212121212121212121212246666666612121212121212121212121212128888242424242424242488882466121288
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111-1-11111-1-1-1-1-1-1-1-11-111-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111-1-111-1-1-1-11111-1-1-1-1-11-1-111-1-1
χ4111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111
χ5111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11-1-1-1-111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1
χ6111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11-1-1-1-111111-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-11-1-11111
χ7111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11-1-1-1-111111-1-1-1-1-1-111-1-1-1-11111-1-1-1-11-111-1-111
χ8111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1
χ92222222-22-22222222-222222-2-2-2-2-2-2-2-2222-222222222-2-2-2-2-2-222-2-2-2-2-2-2000000000000000000000000
χ102222222-22-22222222-222222-2-2-2-2-2-2-2-222-22-2-2-2-2-2-2-2-2-22222-222-2-22222000000000000000000000000
χ11222222-22-222222222-2222-2-222222222-2-20000000000-20000-2-2-2-2-2000000000000000022-2-200000000
χ12222222-22-222222222-2222-2-222222222-2-20000000000-20000-2-2-2-2-20000000000000000-2-22200000000
χ13222222-2-2-2-222222222222-2-2-2-2-2-2-2-2-2-2-2-20000000000200002-2-222000000000000000000000000002i−2i
χ14222222-2-2-2-222222222222-2-2-2-2-2-2-2-2-2-2-2-20000000000200002-2-22200000000000000000000000000−2i2i
χ1522222-122222-1-12-12-12-1-1-12-122-1-1-1-1-1-12-12222-1-1-1-1-1-1-122-1-12-1-1-1-1-1-1-1-12200-1-1-1-10000000020-1-10000
χ1622222-122222-1-12-12-12-1-1-12-122-1-1-1-1-1-12-12222-1-1-1-1-1-1-122-1-12-1-1-1-1-1-1-1-1-2-200111100000000-20110000
χ1722222-122222-1-12-12-12-1-1-12-122-1-1-1-1-1-12-1-2-2-2-2111111-1-2-2112-1-1-1-111112200-1-1-1-100000000-20110000
χ1822222-122222-1-12-12-12-1-1-12-122-1-1-1-1-1-12-1-2-2-2-2111111-1-2-2112-1-1-1-11111-2-20011110000000020-1-10000
χ1922222-12-22-22-1-12-12-1-2-1-1-12-1-2-21111112-12-222-1-1-1-1-1-11-2-211-2-1-11111110000−i3−i3i3i30000000000−i3i30000
χ2022222-12-22-22-1-12-12-1-2-1-1-12-1-2-21111112-12-222-1-1-1-1-1-11-2-211-2-1-11111110000i3i3−i3−i30000000000i3−i30000
χ2122222-12-22-22-1-12-12-1-2-1-1-12-1-2-21111112-1-22-2-2111111122-1-1-2-1-111-1-1-1-10000−i3−i3i3i30000000000i3−i30000
χ2222222-12-22-22-1-12-12-1-2-1-1-12-1-2-21111112-1-22-2-2111111122-1-1-2-1-111-1-1-1-10000i3i3−i3−i30000000000−i3i30000
χ232222-122222-122-12-1-12-1-1-1-12-1-122-1-1-1-1-1222-1-122-1-1-1-12-1-122-1-1-1-1-1-1-1-1-100220000-1-1-1-100000200-1-100
χ242222-122222-122-12-1-12-1-1-1-12-1-122-1-1-1-1-1222-1-122-1-1-1-12-1-122-1-1-1-1-1-1-1-1-100-2-20000111100000-2001100
χ252222-122222-122-12-1-12-1-1-1-12-1-122-1-1-1-1-12-2-211-2-21111211-2-2-1-1-1-1-1111100220000-1-1-1-100000-2001100
χ262222-122222-122-12-1-12-1-1-1-12-1-122-1-1-1-1-12-2-211-2-21111211-2-2-1-1-1-1-1111100-2-20000111100000200-1-100
χ272222-122-22-2-122-12-1-1-2-1-1-1-1211-2-21111-122-2-1-122-1-1-1-1-211-2-21-1-111111100000000−i3−i3i3i300000000−i3i300
χ282222-122-22-2-122-12-1-1-2-1-1-1-1211-2-21111-122-2-1-122-1-1-1-1-211-2-21-1-111111100000000i3i3−i3−i300000000i3−i300
χ292222-122-22-2-122-12-1-1-2-1-1-1-1211-2-21111-12-2211-2-21111-2-1-1221-1-111-1-1-1-100000000−i3−i3i3i300000000i3−i300
χ302222-122-22-2-122-12-1-1-2-1-1-1-1211-2-21111-12-2211-2-21111-2-1-1221-1-111-1-1-1-100000000i3i3−i3−i300000000−i3i300
χ312-22-222020-2-2-2-222-220-2-22002-22-222-2-2000000000000000000000000002−2−i2i22−22−2−i2i2−i2i2002i−2i00000000
χ322-22-222020-2-2-2-222-220-2-22002-22-222-2-2000000000000000000000000002−2i2−i22−22−2i2−i2i2−i200−2i2i00000000
χ332-22-222020-2-2-2-222-220-2-22002-22-222-2-200000000000000000000000000−22−i2i2−22−22−i2i2−i2i200−2i2i00000000
χ342-22-222020-2-2-2-222-220-2-22002-22-222-2-200000000000000000000000000−22i2−i2−22−22i2−i2i2−i2002i−2i00000000
χ3544444-2-44-444-2-24-24-2-4-2-2-2-4244-2-2-2-2-2-2-42000000000020000-422220000000000000000000000000000
χ3644444-2-4-4-4-44-2-24-24-24-2-2-2-42-4-4222222-420000000000-20000422-2-20000000000000000000000000000
χ374444-24-44-44-244-24-2-2-4-2-2-22-4-2-244-2-2-2-22-40000000000-40000222220000000000000000000000000000
χ384444-24-4-4-4-4-244-24-2-24-2-2-22-422-4-422222-4000000000040000-222-2-20000000000000000000000000000
χ394444-2-24444-2-2-2-2-2-214111-2-2-2-2-2-21111-2-244-2-2-2-21111-2-2-2-2-2-211111111000000000000000000000000
χ404444-2-24444-2-2-2-2-2-214111-2-2-2-2-2-21111-2-2-4-42222-1-1-1-1-22222-21111-1-1-1-1000000000000000000000000
χ414444-2-24-44-4-2-2-2-2-2-21-4111-2-22222-1-1-1-1-2-24-4-2-2-2-2111122222211-1-1-1-1-1-1000000000000000000000000
χ424444-2-24-44-4-2-2-2-2-2-21-4111-2-22222-1-1-1-1-2-2-442222-1-1-1-12-2-2-2-2211-1-11111000000000000000000000000
χ434444-2-2-44-44-2-2-2-2-2-21-411122-2-2-2-211112200000033-3-3200002-1-1-1-133-3-3000000000000000000000000
χ444444-2-2-44-44-2-2-2-2-2-21-411122-2-2-2-2111122000000-3-333200002-1-1-1-1-3-333000000000000000000000000
χ454444-2-2-4-4-4-4-2-2-2-2-2-214111222222-1-1-1-12200000033-3-3-20000-2-1-111-3-333000000000000000000000000
χ464444-2-2-4-4-4-4-2-2-2-2-2-214111222222-1-1-1-122000000-3-333-20000-2-1-11133-3-3000000000000000000000000
χ4744-4-44440-4044-4-4-4-4404-4-44400000000-4-400000000000000004-4000000000000000000000000000000
χ4844-4-444-404044-4-4-4-4404-4-4-4-400000000440000000000000000-44000000000000000000000000000000
χ4944-4-44-240-404-22-42-4-20-2224-200000000-42000000000000023−230-220023−2323−23000000000000000000000000
χ5044-4-44-240-404-22-42-4-20-2224-200000000-420000000000000−23230-2200−2323−2323000000000000000000000000
χ5144-4-44-2-40404-22-42-4-20-222-42000000004-20000−2i32i3−2i32i3−2i32i30000002-2000000000000000000000000000000
χ5244-4-44-2-40404-22-42-4-20-222-42000000004-200002i3−2i32i3−2i32i3−2i30000002-2000000000000000000000000000000
χ5344-4-4-2440-40-24-42-42-20-222-24000000002-400−2i32i300−2i32i32i3−2i3000000-22000000000000000000000000000000
χ5444-4-4-2440-40-24-42-42-20-222-24000000002-4002i3−2i3002i3−2i3−2i32i3000000-22000000000000000000000000000000
χ5544-4-4-24-4040-24-42-42-20-2222-400000000-240000000000023−230002-20023−23−2323000000000000000000000000
χ5644-4-4-24-4040-24-42-42-20-2222-400000000-2400000000000−23230002-200−232323−23000000000000000000000000
χ5744-4-4-2-240-40-2-22222101-1-1-2-200003i−3i3i−3i2200−2i32i300i3−i3−i3i300023−2301-13i−3i−33−33000000000000000000000000
χ5844-4-4-2-240-40-2-22222101-1-1-2-200003i−3i3i−3i22002i3−2i300−i3i3i3−i3000−232301-13i−3i3−33−3000000000000000000000000
χ5944-4-4-2-240-40-2-22222101-1-1-2-20000−3i3i−3i3i2200−2i32i300i3−i3−i3i3000−232301-1−3i3i3−33−3000000000000000000000000
χ6044-4-4-2-240-40-2-22222101-1-1-2-20000−3i3i−3i3i22002i3−2i300−i3i3i3−i300023−2301-1−3i3i−33−33000000000000000000000000
χ6144-4-4-2-2-4040-2-22222101-1-12200003i−3i3i−3i-2-20000−2i32i3i3−i3i3−i3023−23000-11−3i3i−333−3000000000000000000000000
χ6244-4-4-2-2-4040-2-22222101-1-12200003i−3i3i−3i-2-200002i3−2i3−i3i3−i3i30−2323000-11−3i3i3−3−33000000000000000000000000
χ6344-4-4-2-2-4040-2-22222101-1-1220000−3i3i−3i3i-2-20000−2i32i3i3−i3i3−i30−2323000-113i−3i3−3−33000000000000000000000000
χ6444-4-4-2-2-4040-2-22222101-1-1220000−3i3i−3i3i-2-200002i3−2i3−i3i3−i3i3023−23000-113i−3i−333−3000000000000000000000000
χ654-44-4440-404-4-4-444-440-4-4400-44-44-4-44400000000000000000000000000000000000000000000000000
χ664-44-44-2040-4-4224-2-4-2022-2004-4-22-2-2220000000000000000000000000022−2200−22−220000000000000000
χ674-44-44-2040-4-4224-2-4-2022-2004-4-22-2-22200000000000000000000000000−2222002−22−20000000000000000
χ684-44-44-20-404-4224-2-4-2022-200-442-222-2-2000000000000000000000000000000i6−i6−i6i60000000000000000
χ694-44-44-20-404-4224-2-4-2022-200-442-222-2-2000000000000000000000000000000−i6i6i6−i60000000000000000
χ704-44-4-24040-42-4-4-242-2022-200-224-4-2-2220000000000000000000000000000−2i22i20000i2−i2i2−i2000000000000
χ714-44-4-24040-42-4-4-242-2022-200-224-4-2-22200000000000000000000000000002i2−2i20000−i2i2−i2i2000000000000
χ724-44-4-240-4042-4-4-242-2022-2002-2-4422-2-200000000000000000000000000000000006−6−66000000000000
χ734-44-4-240-4042-4-4-242-2022-2002-2-4422-2-20000000000000000000000000000000000−666−6000000000000
χ744-4-44440000-4-44-4-4440-44-400000000000000000000000000000000000000000000000022−220000000000
χ754-4-44440000-4-44-4-4440-44-4000000000000000000000000000000000000000000000000−22220000000000
χ768-88-8-4-4080-8444-4-4420-2-2200-44-4422-2-200000000000000000000000000000000000000000000000000
χ778-88-8-4-40-808444-4-4420-2-22004-44-4-2-22200000000000000000000000000000000000000000000000000
χ788-8-888-40000-84-4-848-404-44000000000000000000000000000000000000000000000000000000000000
χ798-8-88-4800004-884-8-4-404-44000000000000000000000000000000000000000000000000000000000000
χ808-8-88-4-4000044-444-420-22-20000006i−6i−6i6i00000000000000000000000000000000000000000000000000
χ818-8-88-4-4000044-444-420-22-2000000−6i6i6i−6i00000000000000000000000000000000000000000000000000

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