Finite Group Databasebeta

← Group #11872306

Character table — Group #11872306

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84
size11112222222222444444444488888888888888881212121212121212121212121212121216161616161618181818242424242424242424242424363648487272
order1222334466666622366612121212266668121224242424242424242444444488881212121266666644442461212121212242424244461248
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111-1-1-1-1-1-111-1-111111111-1-1-1-1-111-1-1-11111-1-1-1-1-11-1-1
χ31111111111111111111111111111111111111111-1-1-1-1111111-1-111-1-1111111-1-1-1-11-1-1111-1-1-1-111-1-11-1-1-1
χ41111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-111
χ5111111111111111111111111-11111-111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-111-1-11111-1-1111111-1-1-1-111-1-1-1-1
χ6111111111111111111111111-11111-111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-111-1-111-1-1-1-1-1-11-11-1-1-111-1-111-1-11-111
χ7111111111111111111111111-11111-111-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-111-1-1-1-1-1-1-11-1111-1-111-1-1-1-1-1111
χ8111111111111111111111111-11111-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-1111111-1-1-1-1-1-111111111-1-1
χ911111111111111-1-1111111111-1-1-1-1-111-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1111111-1-11111111111-1-1-1-1-1-1-1-1-1-1111-1
χ1011111111111111-1-1111111111-1-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-11111-1-111-1-1-1-1-111-111-1-1-1-11111-11-11
χ1111111111111111-1-1111111111-1-1-1-1-111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-111-1-111-1-1-1-11-1-11-1-11111-1-1111-1-11
χ1211111111111111-1-1111111111-1-1-1-1-111-1-1-1-1-1-1-1-1-1-111-1-1111111-1-1-1-111-1-1111111-1-1-1-111111111-1-1-1-11-1
χ1311111111111111-1-111111111-1-1-1-1-11111111111111-1-111-1-111111111-1-1-1-1-1-11111-1-111-1-1-1-11111-1-1-1-1-11
χ1411111111111111-1-111111111-1-1-1-1-11111111111111-1-1-1-111-1-111-1-111-1-1-1-1-1-1-1-1-1-11-11-111-1-111-1-1111-11-1
χ1511111111111111-1-111111111-1-1-1-1-111111111111-1-11111-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-11-11-1-111-1-11111-111-1
χ1611111111111111-1-111111111-1-1-1-1-111111111111-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-11111-1-1-1-1-1-111-11
χ17222222-2-2222222002222-2-2-2-2000000-2-2000000002-2002-2000000-2-2-2-2000000-2-222002200000000000000
χ18222222-2-2222222002222-2-2-2-2000000-2-2000000002-200-2200000022-2-200000022-2-2002-200000000000000
χ19222222-2-2222222002222-2-2-2-2000000-2-200000000-22002-2000000-2-22200000022-2-200-2200000000000000
χ20222222-2-2222222002222-2-2-2-2000000-2-200000000-2200-220000002222000000-2-22200-2-200000000000000
χ2122222-1222-1-12-1222-1-1-1-1-122-1222-1-12-1-122-1-1-1-1-1-1000022222200-1-1002-1-1-1-1-10000200-1-1-10000-1-100-1000
χ2222222-1222-1-12-1222-1-1-1-1-122-1222-1-12-1-122-1-1-1-1-1-10000-2-2-2-2-2-20011002-1-1-1-1-10000-200111000011001000
χ2322222-1222-1-12-1222-1-1-1-1-122-1-222-1-1-2-1-1-2-211111100002222-2-200-1-100-21-1-1110000-200-1-1-1000011001000
χ2422222-1222-1-12-1222-1-1-1-1-122-1-222-1-1-2-1-1-2-21111110000-2-2-2-222001100-21-1-11100002001110000-1-100-1000
χ2522222-1222-1-12-12-2-2-1-1-1-1-122-12-2-211-2-1-1-2-2111111000022-2-2-2-200-1-1002-111-1-10000200-11100001100-1000
χ2622222-1222-1-12-12-2-2-1-1-1-1-122-12-2-211-2-1-1-2-21111110000-2-222220011002-111-1-10000-2001-1-10000-1-1001000
χ2722222-1222-1-12-12-2-2-1-1-1-1-122-1-2-2-2112-1-122-1-1-1-1-1-1000022-2-22200-1-100-2111110000-200-1110000-1-1001000
χ2822222-1222-1-12-12-2-2-1-1-1-1-122-1-2-2-2112-1-122-1-1-1-1-1-10000-2-222-2-2001100-21111100002001-1-100001100-1000
χ292222-1222-122-12-122-1-1-1-12-1-122-1-1222-1-1-1-122-1-1-1-122220000002200-1-1-12-1-1-1-1000002-1000-1-1-1-100000-100
χ302222-1222-122-12-122-1-1-1-12-1-122-1-1222-1-1-1-122-1-1-1-1-2-2-2-2000000-2-20011-12-1-1-1-100000-21000111100000100
χ312222-1222-122-12-122-1-1-1-12-1-12-2-1-122-2-1-111-2-211112222000000-2-200-1-11-2-1-11100000-2-1000-1-11100000100
χ322222-1222-122-12-122-1-1-1-12-1-12-2-1-122-2-1-111-2-21111-2-2-2-20000002200111-2-1-111000002100011-1-100000-100
χ332222-1222-122-12-1-2-2-1-1-1-12-1-12211-2-2-2-1-111-2-2111122-2-2000000-2-200-1-1-1211-1-1000002-1000111100000-100
χ342222-1222-122-12-1-2-2-1-1-1-12-1-12211-2-2-2-1-111-2-21111-2-222000000220011-1211-1-100000-21000-1-1-1-100000100
χ352222-1222-122-12-1-2-2-1-1-1-12-1-12-211-2-22-1-1-1-122-1-1-1-122-2-20000002200-1-11-2111100000-2-100011-1-100000100
χ362222-1222-122-12-1-2-2-1-1-1-12-1-12-211-2-22-1-1-1-122-1-1-1-1-2-222000000-2-200111-211110000021000-1-11100000-100
χ3722-2-2222-2-22-2-2-222-22-2-22-22-2202-22-20-22000000000000000000000000002-2002i−2i2i−2i0000000000002i−2i0000
χ3822-2-2222-2-22-2-2-222-22-2-22-22-2202-22-20-22000000000000000000000000002-200−2i2i−2i2i000000000000−2i2i0000
χ3922-2-2222-2-22-2-2-22-222-2-22-22-220-22-220-2200000000000000000000000000-22002i−2i2i−2i000000000000−2i2i0000
χ4022-2-2222-2-22-2-2-22-222-2-22-22-220-22-220-2200000000000000000000000000-2200−2i2i−2i2i0000000000002i−2i0000
χ4122-2-222-22-22-2-2-22002-2-222-22-20000002-200000000002-2002i−2i000000000000002i−2i−2i2i00002i−2i2-20000000000
χ4222-2-222-22-22-2-2-22002-2-222-22-20000002-200000000002-200−2i2i00000000000000−2i2i2i−2i0000−2i2i2-20000000000
χ4322-2-222-22-22-2-2-22002-2-222-22-20000002-20000000000-22002i−2i00000000000000−2i2i2i−2i00002i−2i-220000000000
χ4422-2-222-22-22-2-2-22002-2-222-22-20000002-20000000000-2200−2i2i000000000000002i−2i−2i2i0000−2i2i-220000000000
χ4544444-2-4-44-2-24-2400-2-2-2-22-4-42000000220000000000004-400000022000000000000000-200000000000000
χ4644444-2-4-44-2-24-2400-2-2-2-22-4-4200000022000000000000-44000000-2-2000000000000000200000000000000
χ474444-24-4-4-244-24-200-2-2-2-2-422-400000022000000004-400000000000022000000000000-2000000000000000
χ484444-24-4-4-244-24-200-2-2-2-2-422-40000002200000000-44000000000000-2-20000000000002000000000000000
χ494444-2-244-2-2-2-2-2-2441111-2-2-2-24-2-2-2-2411-2-2-2-211110000000000000000-2-211110000000000000000000000
χ504444-2-244-2-2-2-2-2-2441111-2-2-2-2-4-2-2-2-2-4112222-1-1-1-100000000000000002211-1-10000000000000000000000
χ514444-2-244-2-2-2-2-2-2-4-41111-2-2-2-242222-4112222-1-1-1-10000000000000000-2-2-1-1110000000000000000000000
χ524444-2-244-2-2-2-2-2-2-4-41111-2-2-2-2-42222411-2-2-2-21111000000000000000022-1-1-1-10000000000000000000000
χ5344-4-44-24-4-4-22-4244-4-222-224-4-204-4-2202-200000000000000000000000000-22000000000000000000000000
χ5444-4-44-24-4-4-22-424-44-222-224-4-20-442-202-2000000000000000000000000002-2000000000000000000000000
χ5544-4-44-2-44-4-22-42400-222-2-2-442000000-22000000000000004i−4i0000000000000000000000−2i2i000000000000
χ5644-4-44-2-44-4-22-42400-222-2-2-442000000-2200000000000000−4i4i00000000000000000000002i−2i000000000000
χ5744-4-4-244-424-42-4-24-4-222-2-4-2240-224-402-200000000000000000000000000-22000000000000000000000000
χ5844-4-4-244-424-42-4-2-44-222-2-4-22402-2-4402-2000000000000000000000000002-2000000000000000000000000
χ5944-4-4-24-4424-42-4-200-222-242-2-4000000-2200000000004-40000000000000000000000000000-220000000000
χ6044-4-4-24-4424-42-4-200-222-242-2-4000000-220000000000-4400000000000000000000000000002-20000000000
χ6144-4-4-2-24-42-2222-24-41-1-112-22-20-22-220-11000033-3-30000000000000000001-13-30000000000000000000000
χ6244-4-4-2-24-42-2222-24-41-1-112-22-20-22-220-110000-3-3330000000000000000001-1-330000000000000000000000
χ6344-4-4-2-24-42-2222-2-441-1-112-22-202-22-20-11000033-3-3000000000000000000-11-330000000000000000000000
χ6444-4-4-2-24-42-2222-2-441-1-112-22-202-22-20-110000-3-333000000000000000000-113-30000000000000000000000
χ654-44-444004-44-4-4-40044-4-4000000000000000000000000000000−2i22i20000000000000000000000−2i22i200000000
χ664-44-444004-44-4-4-40044-4-40000000000000000000000000000002i2−2i200000000000000000000002i2−2i200000000
χ674-44-4-2400-2-442-4200-2-222000000000000i6−i600i6−i6i6−i60000000000−2i22i20023−23000000000000000000i2−i200000000
χ684-44-4-2400-2-442-4200-2-222000000000000i6−i600i6−i6i6−i600000000002i2−2i200−2323000000000000000000−i2i200000000
χ694-44-4-2400-2-442-4200-2-222000000000000−i6i600−i6i6−i6i60000000000−2i22i200−2323000000000000000000i2−i200000000
χ704-44-4-2400-2-442-4200-2-222000000000000−i6i600−i6i6−i6i600000000002i2−2i20023−23000000000000000000−i2i200000000
χ714-4-444400-4-4-444-4004-44-4000000000000000000000000000022−220000000000000000000000000022−22000000
χ724-4-444400-4-4-444-4004-44-40000000000000000000000000000−222200000000000000000000000000−2222000000
χ734-4-444-200-4224-2-400-22-2200000000000000i6−i6i6−i6−i6i60000000022−2200−2i32i30000000000000000000000−22000000
χ744-4-444-200-4224-2-400-22-2200000000000000i6−i6i6−i6−i6i600000000−2222002i3−2i300000000000000000000002−2000000
χ754-4-444-200-4224-2-400-22-2200000000000000−i6i6−i6i6i6−i60000000022−22002i3−2i30000000000000000000000−22000000
χ764-4-444-200-4224-2-400-22-2200000000000000−i6i6−i6i6i6−i600000000−222200−2i32i300000000000000000000002−2000000
χ778888-4-4-8-8-4-4-4-4-4-40022224444000000-2-20000000000000000000000000000000000000000000000000000
χ7888-8-8-4-4-884-4444-4002-2-22-44-440000002-20000000000000000000000000000000000000000000000000000
χ798-88-88-40084-4-84-800-4-4440000000000000000000000000000000000000000000000000000000000000000
χ808-88-8-4-400-44-44440022-2-20000000000002i6−2i600−i6i6−i6i600000000000000000000000000000000000000000000
χ818-88-8-4-400-44-44440022-2-2000000000000−2i62i600i6−i6i6−i600000000000000000000000000000000000000000000
χ828-8-88-48004-8-8-48400-44-440000000000000000000000000000000000000000000000000000000000000000
χ838-8-88-4-400444-4-44002-22-2000000000000002i6−2i6−i6i6i6−i600000000000000000000000000000000000000000000
χ848-8-88-4-400444-4-44002-22-200000000000000−2i62i6i6−i6−i6i600000000000000000000000000000000000000000000

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