Finite Group Databasebeta

← Group #11884012

Character table — Group #11884012

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87
size1111222222222244444444444444668888888888888812121212121212121212121212121212121616161616162424242424242424242424242424243636727272
order1222334466666634466612121212121212122222666612121212121212122224444666666668866666644812121212121212122424242488248
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111-1-111111111-1-11111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111-1-1-1-1-1-1111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-11-111-1-11111-1-1-1-1-1-111-1
χ4111111111111111111111111111111-1-1-1-1-1-1111111111-1-111-1-11111-1-1-1-111-1-1-1-1-1-1-1-1111-1-1-1-1-1-1111111-1-11
χ51111111111111111111111111111-1-111111111111111-1-1-1-1-111-1-1-1-1-1-1-1-111111111-111-1-1-1-111111111-1-1-1-1-1
χ61111111111111111111111111111-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111
χ71111111111111111111111111111-1-1-1-1-1-1-1-111111111-111-1-111-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1111111-1-1-1-111-1-11
χ81111111111111111111111111111-1-1-1-1-1-1-1-111111111-111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-11-11-1-111-1-1-1-11111-1-111-1
χ9111111111111111-1-1111-1-1111-1-11111-111-1-1-1-111-1-1-1-1-1111-11111-1-11111111-111-1-1-1-1-11-1-1-111-1-111-1-111-11-1
χ10111111111111111-1-1111-1-1111-1-11111-111-1-1-1-111-1-1-1-1-1111-1-1-111-1-11111-1-11-111-1-1-1111-1-1-1-1-111-1-111-1-11-11
χ11111111111111111-1-1111-1-1111-1-1111-11-1-111-1-111-1-1-1-1-1-1-11-11111-1-1-1-1-1-1-1-1-11-1-1111-111-11111-1-1-1-111-1-1-111
χ12111111111111111-1-1111-1-1111-1-1111-11-1-111-1-111-1-1-1-1-1-1-11-1-1-111-1-1-1-1-1-111-11-1-11111-11-111-1-11111-1-1111-1-1
χ13111111111111111-1-1111-1-1111-1-11-1-11-111-1-1-1-111-1-1-1-11-1-1-1111-1-111-1-1-1-1111-111-1-11-1-1-111111-1-111-1-1-1-11-11
χ14111111111111111-1-1111-1-1111-1-11-1-11-111-1-1-1-111-1-1-1-11-1-1-11-1-1-1-111-1-1-1-1-1-11-111-1-1111-1111-1-111-1-11111-11-1
χ15111111111111111-1-1111-1-1111-1-11-1-1-11-1-111-1-111-1-1-1-1111-1111-1-1111111-1-1-11-1-111-1-11-11-1-111-1-1-1-111111-1-1
χ16111111111111111-1-1111-1-1111-1-11-1-1-11-1-111-1-111-1-1-1-1111-11-1-1-1-111111111-11-1-111-11-1-11-1-1-1-11111-1-1-1-1-111
χ17222222-2-222222222-222222-2-2-2-2-2-2220000002-2-2-222-2-2-200-220022-2-2000000000000000-22000000000000000
χ18222222-2-222222222-222222-2-2-2-2-2-2-2-20000002-2-2-222-2-22002-200-2-2220000000000000002-2000000000000000
χ19222222-2-22222222-22222-2-2-2-2-222-222000000-22-2-2-2-222200-2-2002222000000000000000-2-2000000000000000
χ20222222-2-22222222-22222-2-2-2-2-222-2-2-2000000-22-2-2-2-222-2002200-2-2-2-200000000000000022000000000000000
χ2122222-1222-122-1-1-122-1-1-1222-1-1-1-122222-1-1-1-1-12-1-1-1-1-1-12222200-1-1-1-1-1-1-1-10022-1-1-1-1200-1-1-1-10000000000000
χ2222222-1222-122-1-1-122-1-1-1222-1-1-1-1222-2-21111-12-1-1-1-1-1-12-2-22200-1-1-1-1111100-2-21111-200-1-1110000000000000
χ2322222-1222-122-1-1-122-1-1-1222-1-1-1-12-2-222-1-1-1-1-12-1-1-1-1-1-1-2-2-2-2-200111111110022-1-1-1-1-20011110000000000000
χ2422222-1222-122-1-1-122-1-1-1222-1-1-1-12-2-2-2-21111-12-1-1-1-1-1-1-222-2-2001111-1-1-1-100-2-2111120011-1-10000000000000
χ2522222-1222-122-1-1-1-2-2-1-1-1-2-22-1-1112222-2-1-1111-2-1-11111-2222-200-1-111-1-1-1-1002-2-1-111-200-11110000000000000
χ2622222-1222-122-1-1-1-2-2-1-1-1-2-22-1-111222-2211-1-11-2-1-11111-2-2-22-200-1-111111100-2211-1-1200-11-1-10000000000000
χ2722222-1222-122-1-1-1-2-2-1-1-1-2-22-1-1112-2-22-2-1-1111-2-1-111112-2-2-220011-1-11111002-2-1-1112001-1-1-10000000000000
χ2822222-1222-122-1-1-1-2-2-1-1-1-2-22-1-1112-2-2-2211-1-11-2-1-11111222-220011-1-1-1-1-1-100-2211-1-1-2001-1110000000000000
χ2922222-1-2-22-122-1-1-12-2-1-1-122-21111-22200−i3i3−i3i3-1-211-1-111-200-2200-1-111−i3−i3i3i30000−i3i3−i3i30001-1−i3i30000000000000
χ3022222-1-2-22-122-1-1-12-2-1-1-122-21111-22200i3−i3i3−i3-1-211-1-111-200-2200-1-111i3i3−i3−i30000i3−i3i3−i30001-1i3−i30000000000000
χ3122222-1-2-22-122-1-1-12-2-1-1-122-21111-2-2-200−i3i3−i3i3-1-211-1-1112002-20011-1-1i3i3−i3−i30000−i3i3−i3i3000-11i3−i30000000000000
χ3222222-1-2-22-122-1-1-12-2-1-1-122-21111-2-2-200i3−i3i3−i3-1-211-1-1112002-20011-1-1−i3−i3i3i30000i3−i3i3−i3000-11−i3i30000000000000
χ3322222-1-2-22-122-1-1-1-22-1-1-1-2-2-211-1-1-22200−i3i3i3−i3121111-1-1200-2-200-1-1-1-1−i3−i3i3i30000−i3i3i3−i300011i3−i30000000000000
χ3422222-1-2-22-122-1-1-1-22-1-1-1-2-2-211-1-1-22200i3−i3−i3i3121111-1-1200-2-200-1-1-1-1i3i3−i3−i30000i3−i3−i3i300011−i3i30000000000000
χ3522222-1-2-22-122-1-1-1-22-1-1-1-2-2-211-1-1-2-2-200−i3i3i3−i3121111-1-1-20022001111i3i3−i3−i30000−i3i3i3−i3000-1-1−i3i30000000000000
χ3622222-1-2-22-122-1-1-1-22-1-1-1-2-2-211-1-1-2-2-200i3−i3−i3i3121111-1-1-20022001111−i3−i3i3i30000i3−i3−i3i3000-1-1i3−i30000000000000
χ372222-1222-12-1-122-122-1-1-1-1-1-12222-1002222222-1-1-1-1-1-1-100000220000000022-1-1-1-1-1-10220000-1-1-1-1-1-1-1-100000
χ382222-1222-12-1-122-122-1-1-1-1-1-12222-1002222222-1-1-1-1-1-1-100000-2-200000000-2-2-1-1-1-1-1-10-2-200001111111100000
χ392222-1222-12-1-122-122-1-1-1-1-1-12222-100-2-2-2-2-2-22-1-1-1-1-1-1-1000002200000000-2-211111102-20000-1-1-1-1111100000
χ402222-1222-12-1-122-122-1-1-1-1-1-12222-100-2-2-2-2-2-22-1-1-1-1-1-1-100000-2-200000000221111110-2200001111-1-1-1-100000
χ412222-1222-12-1-122-1-2-2-1-1-111-122-2-2-1002-222-2-2-21-1-1111100000220000000022-11-1-1110-2-20000-1-111-1-11100000
χ422222-1222-12-1-122-1-2-2-1-1-111-122-2-2-1002-222-2-2-21-1-1111100000-2-200000000-2-2-11-1-111022000011-1-111-1-100000
χ432222-1222-12-1-122-1-2-2-1-1-111-122-2-2-100-22-2-222-21-1-11111000002200000000-2-21-111-1-10-220000-1-11111-1-100000
χ442222-1222-12-1-122-1-2-2-1-1-111-122-2-2-100-22-2-222-21-1-1111100000-2-200000000221-111-1-102-2000011-1-1-1-11100000
χ452-2-2222-22-2-22-22-22002-2-200-22-200200000000002-2000002-2002-200002-22-20000000000000002-20000002-2000
χ462-2-2222-22-2-22-22-22002-2-200-22-200200000000002-2000002-200-2200002-22-2000000000000000-22000000-22000
χ472-2-2222-22-2-22-22-22002-2-200-22-200200000000002-200000-22002-20000-22-220000000000000002-2000000-22000
χ482-2-2222-22-2-22-22-22002-2-200-22-200200000000002-200000-2200-220000-22-22000000000000000-220000002-2000
χ494444-24-4-4-24-2-244-24-4-2-2-2-2-22-4-4-4-42000000004222-2-2220000000000000000000000000000000000000000000
χ504444-24-4-4-24-2-244-2-44-2-2-2222-4-444200000000-4-22222-2-20000000000000000000000000000000000000000000
χ514444-2-244-2-2-2-2-2-2144111-2-2-2-2-2-2-2-20044-2-2-2-2-2-211111100000000000000000-2-2111100000000000000000000
χ524444-2-244-2-2-2-2-2-2144111-2-2-2-2-2-2-2-200-4-42222-2-21111110000000000000000022-1-1-1-100000000000000000000
χ534444-2-244-2-2-2-2-2-21-4-411122-2-2-222-2004-4-2-2222211-1-1-1-100000000000000000-2211-1-100000000000000000000
χ544444-2-244-2-2-2-2-2-21-4-411122-2-2-222-200-4422-2-22211-1-1-1-1000000000000000002-2-1-11100000000000000000000
χ554444-2-2-4-4-2-2-2-2-2-214-4111-2-22222220000−2i32i3−2i32i3-22-1-111-1-10000000000000000000i3−i3i3−i300000000000000000000
χ564444-2-2-4-4-2-2-2-2-2-214-4111-2-222222200002i3−2i32i3−2i3-22-1-111-1-10000000000000000000−i3i3−i3i300000000000000000000
χ574444-2-2-4-4-2-2-2-2-2-21-4411122222-2-220000−2i32i32i3−2i32-2-1-1-1-1110000000000000000000i3−i3−i3i300000000000000000000
χ584444-2-2-4-4-2-2-2-2-2-21-4411122222-2-2200002i3−2i3−2i32i32-2-1-1-1-1110000000000000000000−i3i3i3−i300000000000000000000
χ5944-4-4440044-4-4-4-4400-44-4000000000000000000000000000000000000000−2i22i200000000000000000−2i22i20000000
χ6044-4-4440044-4-4-4-4400-44-40000000000000000000000000000000000000002i2−2i2000000000000000002i2−2i20000000
χ6144-4-4-2400-2422-4-4-2002-22−2i32i3000000000000000000−2i32i300000000000000000−2i22i200000000000000000i2−i26−600000
χ6244-4-4-2400-2422-4-4-2002-22−2i32i3000000000000000000−2i32i3000000000000000002i2−2i200000000000000000−i2i2−6600000
χ6344-4-4-2400-2422-4-4-2002-222i3−2i30000000000000000002i3−2i300000000000000000−2i22i200000000000000000i2−i2−6600000
χ6444-4-4-2400-2422-4-4-2002-222i3−2i30000000000000000002i3−2i3000000000000000002i2−2i200000000000000000−i2i26−600000
χ654-44-44400-4-4-44-44400-4-44000000004-40000000000000000000004-40000000000000000000000000000000000
χ664-44-44400-4-4-44-44400-4-4400000000-44000000000000000000000-440000000000000000000000000000000000
χ674-44-44-200-42-442-2-20022-200000−2i32i304-4000000000000−2i32i30000000-22−2i32i300000000000000000000000000000000
χ684-44-44-200-42-442-2-20022-200000−2i32i30-44000000000000−2i32i300000002-22i3−2i300000000000000000000000000000000
χ694-44-44-200-42-442-2-20022-2000002i3−2i304-40000000000002i3−2i30000000-222i3−2i300000000000000000000000000000000
χ704-44-44-200-42-442-2-20022-2000002i3−2i30-440000000000002i3−2i300000002-2−2i32i300000000000000000000000000000000
χ714-4-44444-4-4-44-44-44004-4-4004-4400-40000000000-4400000000000000000000000000000000000000000000000
χ724-4-444-24-4-424-4-22-200-2220042-200-400000000002-2000000000000000−2i32i32i3−2i30000000000000000000000000000
χ734-4-444-24-4-424-4-22-200-2220042-200-400000000002-20000000000000002i3−2i3−2i32i30000000000000000000000000000
χ744-4-444-2-44-424-4-22-200-22200-4-220040000000000-22000004-400000000-22-220000000000000000000000000000
χ754-4-444-2-44-424-4-22-200-22200-4-220040000000000-2200000-44000000002-22-20000000000000000000000000000
χ764-4-44-244-42-4-224-4-200-22200-2-4400200000000002-200000000000000000000000000000000000023−23000000000
χ774-4-44-244-42-4-224-4-200-22200-2-4400200000000002-2000000000000000000000000000000000000−2323000000000
χ784-4-44-24-442-4-224-4-200-2220024-400-20000000000-220000000004-400000000000000000000000-2200000000000
χ794-4-44-24-442-4-224-4-200-2220024-400-20000000000-22000000000-44000000000000000000000002-200000000000
χ8088-8-88-4008-4-8-844-4004-440000000000000000000000000000000000000000000000000000000000000000000
χ8188-8-8-4-400-4-44444200-22-2−4i34i30000000000000000002i3−2i3000000000000000000000000000000000000000000000
χ8288-8-8-4-400-4-44444200-22-24i3−4i3000000000000000000−2i32i3000000000000000000000000000000000000000000000
χ838-88-8-48004-84-4-88-40044-40000000000000000000000000000000000000000000000000000000000000000000
χ848-88-8-4-400444-44-4200-2-2200000−4i34i30000000000000002i3−2i30000000000000000000000000000000000000000000
χ858-88-8-4-400444-44-4200-2-22000004i3−4i3000000000000000−2i32i30000000000000000000000000000000000000000000
χ868-8-88-4-48-844-44-442002-2-200-44-40040000000000-2200000000000000000000000000000000000000000000000
χ878-8-88-4-4-8844-44-442002-2-2004-4400-400000000002-200000000000000000000000000000000000000000000000

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