Finite Group Databasebeta

← Group #11782396

Character table — Group #11782396

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81
size111122222222222244444444444444444888888888888888888888888242424242424242424242424363636364848484848487272
order1222334444666666346661212121212121212121212124412121212121212121212121212121212121212121212888824242424242424248888441212121288
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
χ5111111111111111111111111111111111-1-11-1-1-1-1-1-11-1-11111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1
χ6111111111111111111111111111111111-1-11-1-1-1-1-1-11-1-11111-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-11-1-11111
χ7111111111111111111111111111111111-1-11-1-1-1-1-1-11-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-11-111-1-111
χ8111111111111111111111111111111111-1-11-1-1-1-1-1-11-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1
χ922222222-2-22222222-2222-2-222-2-2-2-2-2-2222-2-22222-2-2-2-2-222-2-22222-2-2-2-2000000000000000000000000
χ1022222222-2-22222222-2222-2-222-2-2-2-2-2-222-22-2-2-2-2-222-22222-2-2-2-2-2-22222000000000000000000000000
χ11222222-2-2222222222-222222-2-2222222-2-200-2000000-200-2-2-2-20000000000000000000022-2-200000000
χ12222222-2-2222222222-222222-2-2222222-2-200-2000000-200-2-2-2-200000000000000000000-2-22200000000
χ13222222-2-2-2-222222222222-2-2-2-2-2-2-2-2-2-2-2-2002000000200-2-2220000000000000000000000000000002i−2i
χ14222222-2-2-2-222222222222-2-2-2-2-2-2-2-2-2-2-2-2002000000200-2-222000000000000000000000000000000−2i2i
χ1522222-1222222-1-1-12-12-1-1-1222-1-1-1-1-1-1-12-122-122-1-1-1-1222-1-1-1-1-1-1-1-1-1-1-1-12200-1-1-1-10000000020-1-10000
χ1622222-1222222-1-1-12-12-1-1-1222-1-1-1-1-1-1-12-122-122-1-1-1-1222-1-1-1-1-1-1-1-1-1-1-1-1-2-200111100000000-20110000
χ1722222-1222222-1-1-12-12-1-1-1222-1-1-1-1-1-1-12-1-2-2-1-2-211112-2-2-1-1-1-1111111112200-1-1-1-100000000-20110000
χ1822222-1222222-1-1-12-12-1-1-1222-1-1-1-1-1-1-12-1-2-2-1-2-211112-2-2-1-1-1-111111111-2-20011110000000020-1-10000
χ1922222-122-2-222-1-1-12-1-2-1-1-1-2-22-11111112-12-2122-1-111-2-2-2-1-111-1-1-1-111110000−i3−i3i3i30000000000−i3i30000
χ2022222-122-2-222-1-1-12-1-2-1-1-1-2-22-11111112-12-2122-1-111-2-2-2-1-111-1-1-1-111110000i3i3−i3−i30000000000i3−i30000
χ2122222-122-2-222-1-1-12-1-2-1-1-1-2-22-11111112-1-221-2-211-1-1-222-1-1111111-1-1-1-10000−i3−i3i3i30000000000i3−i30000
χ2222222-122-2-222-1-1-12-1-2-1-1-1-2-22-11111112-1-221-2-211-1-1-222-1-1111111-1-1-1-10000i3i3−i3−i30000000000−i3i30000
χ232222-122222-1-1222-1-12-1-1-1-1-1-1222-1-1-1-1-12222-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100220000-1-1-1-100000200-1-100
χ242222-122222-1-1222-1-12-1-1-1-1-1-1222-1-1-1-1-12222-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100-2-20000111100000-2001100
χ252222-122222-1-1222-1-12-1-1-1-1-1-1222-1-1-1-1-12-2-2211-2-2-2-2-111-1-1-1-11111111100220000-1-1-1-100000-2001100
χ262222-122222-1-1222-1-12-1-1-1-1-1-1222-1-1-1-1-12-2-2211-2-2-2-2-111-1-1-1-11111111100-2-20000111100000200-1-100
χ272222-1222-2-2-1-1222-1-1-2-1-1-111-12-2-21111-122-2-2-1-122-2-2111-1-111-1-1-1-1111100000000−i3−i3i3i300000000−i3i300
χ282222-1222-2-2-1-1222-1-1-2-1-1-111-12-2-21111-122-2-2-1-122-2-2111-1-111-1-1-1-1111100000000i3i3−i3−i300000000i3−i300
χ292222-1222-2-2-1-1222-1-1-2-1-1-111-12-2-21111-12-22-211-2-2221-1-1-1-1111111-1-1-1-100000000−i3−i3i3i300000000i3−i300
χ302222-1222-2-2-1-1222-1-1-2-1-1-111-12-2-21111-12-22-211-2-2221-1-1-1-1111111-1-1-1-100000000i3i3−i3−i300000000−i3i300
χ312-22-22200-222-2-2-22-2202-2-22-2002-222-2-200000000000000000000000000−i2i22−2−i2i2−i2i22−22−22i−2i0000000000
χ322-22-22200-222-2-2-22-2202-2-22-2002-222-2-200000000000000000000000000−i2i2−22−i2i2−i2i2−22−22−2i2i0000000000
χ332-22-22200-222-2-2-22-2202-2-22-2002-222-2-200000000000000000000000000i2−i22−2i2−i2i2−i22−22−2−2i2i0000000000
χ342-22-22200-222-2-2-22-2202-2-22-2002-222-2-200000000000000000000000000i2−i2−22i2−i2i2−i2−22−222i−2i0000000000
χ3544444-2-4-44444-2-2-24-2-4-2-2-244-42-2-2-2-2-2-2-42002000000-400222200000000000000000000000000000000
χ3644444-2-4-4-4-444-2-2-24-24-2-2-2-4-4-42222222-4200-200000040022-2-200000000000000000000000000000000
χ374444-24-4-444-2-2444-2-2-4-2-2-2-2-22-444-2-2-2-22-400-4000000200222200000000000000000000000000000000
χ384444-24-4-4-4-4-2-2444-2-24-2-2-2222-4-4-422222-4004000000-20022-2-200000000000000000000000000000000
χ394444-2-24444-2-2-2-2-2-214111-2-2-2-2-2-21111-2-244-2-2-2-2-2-2-2-2-2-2111111111111000000000000000000000000
χ404444-2-24444-2-2-2-2-2-214111-2-2-2-2-2-21111-2-2-4-4-2222222-2221111-1-1-1-1-1-1-1-1000000000000000000000000
χ414444-2-244-4-4-2-2-2-2-2-21-411122-2-222-1-1-1-1-2-24-42-2-2-2-22222211-1-11111-1-1-1-1000000000000000000000000
χ424444-2-244-4-4-2-2-2-2-2-21-411122-2-222-1-1-1-1-2-2-4422222-2-22-2-211-1-1-1-1-1-11111000000000000000000000000
χ434444-2-2-4-444-2-2-2-2-2-21-4111-2-222-2-2111122002000000200-1-1-1-133-3-333-3-3000000000000000000000000
χ444444-2-2-4-444-2-2-2-2-2-21-4111-2-222-2-2111122002000000200-1-1-1-1-3-333-3-333000000000000000000000000
χ454444-2-2-4-4-4-4-2-2-2-2-2-214111222222-1-1-1-12200-2000000-200-1-11133-3-3-3-333000000000000000000000000
χ464444-2-2-4-4-4-4-2-2-2-2-2-214111222222-1-1-1-12200-2000000-200-1-111-3-33333-3-3000000000000000000000000
χ4744-4-4444-400-444-4-4-440-44-4004-4000000-440000000000004-40000000000000000000000000000000000
χ4844-4-444-4400-444-4-4-440-44-400-440000004-4000000000000-440000000000000000000000000000000000
χ4944-4-44-24-400-44-222-4-202-220042000000-4-2000000023−23000-2200000023−2323−23000000000000000000000000
χ5044-4-44-24-400-44-222-4-202-220042000000-4-20000000−2323000-22000000−2323−2323000000000000000000000000
χ5144-4-44-2-4400-44-222-4-202-2200-4-20000004200000−2i32i3000002-200−2i32i3−2i32i30000000000000000000000000000
χ5244-4-44-2-4400-44-222-4-202-2200-4-200000042000002i3−2i3000002-2002i3−2i32i3−2i30000000000000000000000000000
χ5344-4-4-244-4002-24-4-42-202-2200-2-400000024000−2i32i30000000-2200−2i32i32i3−2i30000000000000000000000000000
χ5444-4-4-244-4002-24-4-42-202-2200-2-4000000240002i3−2i30000000-22002i3−2i3−2i32i30000000000000000000000000000
χ5544-4-4-24-44002-24-4-42-202-220024000000-2-4000000000023−232-200000023−23−2323000000000000000000000000
χ5644-4-4-24-44002-24-4-42-202-220024000000-2-40000000000−23232-2000000−232323−23000000000000000000000000
χ5744-4-4-2-24-4002-2-222210-11-100-22003i−3i3i−3i2-2000−2i32i30023−230001-13i−3ii3−i3−i3i3−33−33000000000000000000000000
χ5844-4-4-2-24-4002-2-222210-11-100-22003i−3i3i−3i2-20002i3−2i300−23230001-13i−3i−i3i3i3−i33−33−3000000000000000000000000
χ5944-4-4-2-24-4002-2-222210-11-100-2200−3i3i−3i3i2-2000−2i32i300−23230001-1−3i3ii3−i3−i3i33−33−3000000000000000000000000
χ6044-4-4-2-24-4002-2-222210-11-100-2200−3i3i−3i3i2-20002i3−2i30023−230001-1−3i3i−i3i3i3−i3−33−33000000000000000000000000
χ6144-4-4-2-2-44002-2-222210-11-1002-2003i−3i3i−3i-2200000−2i32i300023−23-11−3i3ii3−i3i3−i3−333−3000000000000000000000000
χ6244-4-4-2-2-44002-2-222210-11-1002-2003i−3i3i−3i-22000002i3−2i3000−2323-11−3i3i−i3i3−i3i33−3−33000000000000000000000000
χ6344-4-4-2-2-44002-2-222210-11-1002-200−3i3i−3i3i-2200000−2i32i3000−2323-113i−3ii3−i3i3−i33−3−33000000000000000000000000
χ6444-4-4-2-2-44002-2-222210-11-1002-200−3i3i−3i3i-22000002i3−2i300023−23-113i−3i−i3i3−i3i3−333−3000000000000000000000000
χ654-44-444004-44-4-4-44-4404-4-4-4400-44-4-44400000000000000000000000000000000000000000000000000
χ664-44-44-2004-44-422-2-4-20-222-44002-222-2-20000000000000000000000000000006−6−660000000000000000
χ674-44-44-2004-44-422-2-4-20-222-44002-222-2-2000000000000000000000000000000−666−60000000000000000
χ684-44-44-200-444-422-2-4-20-2224-400-22-2-22200000000000000000000000000−2i22i200i2−i2i2−i20000000000000000
χ694-44-44-200-444-422-2-4-20-2224-400-22-2-222000000000000000000000000002i2−2i200−i2i2−i2i20000000000000000
χ704-44-4-24004-4-22-4-442-20-2222-200-4422-2-20000000000000000000000000000000000i6−i6−i6i6000000000000
χ714-44-4-24004-4-22-4-442-20-2222-200-4422-2-20000000000000000000000000000000000−i6i6i6−i6000000000000
χ724-44-4-2400-44-22-4-442-20-222-22004-4-2-222000000000000000000000000000022−220000−22−22000000000000
χ734-44-4-2400-44-22-4-442-20-222-22004-4-2-2220000000000000000000000000000−222200002−22−2000000000000
χ744-4-44440000-4-4-44-4440-4-4400000000000000000000000000000000000000000000000000−2i22i200000000
χ754-4-44440000-4-4-44-4440-4-44000000000000000000000000000000000000000000000000002i2−2i200000000
χ768-88-8-4-4008-8-4444-44202-2-24-4004-4-2-22200000000000000000000000000000000000000000000000000
χ778-88-8-4-400-88-4444-44202-2-2-4400-4422-2-200000000000000000000000000000000000000000000000000
χ788-8-888-40000-8-84-448-4044-4000000000000000000000000000000000000000000000000000000000000
χ798-8-88-48000044-88-8-4-4044-4000000000000000000000000000000000000000000000000000000000000
χ808-8-88-4-40000444-44-420-2-220000006i−6i−6i6i00000000000000000000000000000000000000000000000000
χ818-8-88-4-40000444-44-420-2-22000000−6i6i6i−6i00000000000000000000000000000000000000000000000000

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