Finite Group Databasebeta

← Group #11885761

Character table — Group #11885761

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90
size111122222222224444444444444466666666888888888888121212121212121212121212121212121616161616161618182424242424242424363636363648484872
order1222334466666636668812121212242424242244888822661212242424242424224466881212121224242424666666622224661224242248866124
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111-1-1-1-111111111-1-111111111111111-1-1-1-1-1-1-111-1-1-1-1-1111-1-1111-1-1-1-1
χ3111111111111111111111111111111-1-1-1-1-1-111111111111111-111111-1-1-1-1-1-1-1-11111111-1-1-1-1111111-1-1-1-1-1-1-11-1
χ4111111111111111111111111111111-1-1-1-1-1-1-1-1-1-111111111-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-111111-1-1-111-11
χ51111111111111111111111111111-1-1111111111111111111-1-11-1-1-1-1-1111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-111-1-1
χ61111111111111111111111111111-1-1111111-1-1-1-111111111111-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1111-1-1-111-1-1-1-1-111
χ71111111111111111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-111111-1-1-11
χ81111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111-1-1-1-1-1111111-1
χ9111111111111111111-1-11111-1-1-1-11111-1-1-1-11-11111-1-1-1-1-1-1111111-1-11111-1-1-1-1-11-111-1-1111-1-1111-1-1-1-11-1-11-1-11
χ10111111111111111111-1-11111-1-1-1-11111-1-1-1-1-11-1-111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-11-11-1-11111-111-1-11-1-1111-1-1-111-1
χ11111111111111111111-1-11111-1-1-1-111-1-111111-11111-1-1-1-1-1-111-1111-1-1-1-1-1-11111-11-111-1-1-1-1-11-1111-1-111-111-11-1-1
χ12111111111111111111-1-11111-1-1-1-111-1-11111-11-1-111-1-1-1-1-1-1-1-1-1111-1-1-1-1-1-111111-11-1-111-1-11-11-1-11-1-1-1-1-1111-111
χ13111111111111111111-1-11111-1-1-1-1-1-111-1-1-1-11-11111-1-1-1-1-1-1-1-11-1-1-1111111-1-1-1-1-11-111-1-1-1-11-11-1-1-11111-1111-11-1
χ14111111111111111111-1-11111-1-1-1-1-1-111-1-1-1-1-11-1-111-1-1-1-1-1-1111-1-1-1111111-1-1-1-11-11-1-111-1-1-11-111-111-1-1-111-11-11
χ15111111111111111111-1-11111-1-1-1-1-1-1-1-111111-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-11-111-1-111-111-1-1-111-1-11-1-1-1111
χ16111111111111111111-1-11111-1-1-1-1-1-1-1-11111-11-1-111-1-1-1-1-1-111-1-1-1-111-1-1-1-111111-11-1-111111-1-111-111111-1-11-1-1-1
χ17222222-2-2222222222200-2-2-2-20000222200000000-2-200000000-2-2220022-2-2000000000002200000-20000-2000000
χ18222222-2-2222222222200-2-2-2-2000022-2-200000000-2-2000000002-22200-2-22200000000000-2-200000-200002000000
χ19222222-2-2222222222200-2-2-2-20000-2-22200000000-2-200000000-22-2-20022-2-200000000000-2-200000200002000000
χ20222222-2-2222222222200-2-2-2-20000-2-2-2-200000000-2-20000000022-2-200-2-22200000000000220000020000-2000000
χ2122222-1222-1-1-122-1-1-1-122-12-12-1-1-1-1002222222222-1-122-1-1-1-100200000-1-1-1-1-1-1-1-12-1-1-1-1-1-1002200000000000-1-100
χ2222222-1222-1-1-122-1-1-1-122-12-12-1-1-1-100222222-2-2-2-2-1-122-1-1-1-100200000-1-1-1-1-1-1-1-1-211111100-2-2000000000001100
χ2322222-1222-1-1-122-1-1-1-122-12-12-1-1-1-100-2-2-2-2-2-22222-1-122-1-1-1-100-200000111111112-1-1-1-1-1-100-2-2000000000001100
χ2422222-1222-1-1-122-1-1-1-122-12-12-1-1-1-100-2-2-2-2-2-2-2-2-2-2-1-122-1-1-1-100-20000011111111-2111111002200000000000-1-100
χ2522222-1222-1-1-122-1-1-1-1-2-2-12-1211110022-2-2-2-22-222-1-1-2-2111100200000-1-1-1-11111-2-11-1-111002-200000000000-1100
χ2622222-1222-1-1-122-1-1-1-1-2-2-12-1211110022-2-2-2-2-22-2-2-1-1-2-2111100200000-1-1-1-1111121-111-1-100-22000000000001-100
χ2722222-1222-1-1-122-1-1-1-1-2-2-12-12111100-2-222222-222-1-1-2-2111100-2000001111-1-1-1-1-2-11-1-11100-22000000000001-100
χ2822222-1222-1-1-122-1-1-1-1-2-2-12-12111100-2-22222-22-2-2-1-1-2-2111100-2000001111-1-1-1-121-111-1-1002-200000000000-1100
χ292222-1222-1222-1-1-1-1-1-1222-12-122222200000022-1-1-1-1-1-1-1-1-1-12202-1-12200000000-122-1-1-1-100002-1-1-1-1-10000000-10
χ302222-1222-1222-1-1-1-1-1-1222-12-1222222000000-2-211-1-1-1-1-1-1-1-1-2-202-1-122000000001-2-211110000-211-1-1-1000000010
χ312222-1222-1222-1-1-1-1-1-1222-12-12222-2-200000022-1-1-1-1-1-1-1-1-1-1-2-20-211-2-200000000-122-1-1-1-10000-211111000000010
χ322222-1222-1222-1-1-1-1-1-1222-12-12222-2-2000000-2-211-1-1-1-1-1-1-1-1220-211-2-2000000001-2-2111100002-1-11110000000-10
χ332222-1222-1222-1-1-1-1-1-1-2-22-12-1-2-2-2-2220000002-2-1-1-1-11111112202-1-1-2-20000000012-2-1-1110000-2-1-1-111000000010
χ342222-1222-1222-1-1-1-1-1-1-2-22-12-1-2-2-2-222000000-2211-1-1111111-2-202-1-1-2-200000000-1-2211-1-10000211-1110000000-10
χ352222-1222-1222-1-1-1-1-1-1-2-22-12-1-2-2-2-2-2-20000002-2-1-1-1-1111111-2-20-211220000000012-2-1-11100002111-1-10000000-10
χ362222-1222-1222-1-1-1-1-1-1-2-22-12-1-2-2-2-2-2-2000000-2211-1-1111111220-2112200000000-1-2211-1-10000-2-1-11-1-1000000010
χ372-22-222-22-22-2-22-22-2-2200-2-2220000000022-2-200002-20000002-2000000000022-2-20000000000002-20002-20000000
χ382-22-222-22-22-2-22-22-2-2200-2-2220000000022-2-200002-2000000-22000000000022-2-2000000000000-22000-220000000
χ392-22-222-22-22-2-22-22-2-2200-2-22200000000-2-22200002-20000002-20000000000-2-2220000000000002-2000-220000000
χ402-22-222-22-22-2-22-22-2-2200-2-22200000000-2-22200002-2000000-220000000000-2-222000000000000-220002-20000000
χ412-2-222200-2-22-2-2222-2-22−2000022−2−22-22-22−22−20000002−222−2−200002-22−22-2002−22−200000002-20000002−20002−20000
χ422-2-222200-2-22-2-2222-2-22−2000022−2−22-2-22−22−220000002−222−2−200002-22−2-2200−22−220000000-220000002−2000−220000
χ432-2-222200-2-22-2-2222-2-22−2000022−2−2-222-22−22−20000002−222−2−20000-22−222-2002−22−20000000-22000000−22000−220000
χ442-2-222200-2-22-2-2222-2-22−2000022−2−2-22-22−22−220000002−222−2−20000-22−22-2200−22−2200000002-2000000−220002−20000
χ452-2-222200-2-22-2-2222-2-2−220000−2−2222-22-2−22−22000000−22−2−22200002-2−222-200−22−2200000002-2000000−22000−220000
χ462-2-222200-2-22-2-2222-2-2−220000−2−2222-2-222−22−2000000−22−2−22200002-2−22-22002−22−20000000-22000000−220002−20000
χ472-2-222200-2-22-2-2222-2-2−220000−2−222-222-2−22−22000000−22−2−2220000-222−22-200−22−220000000-220000002−20002−20000
χ482-2-222200-2-22-2-2222-2-2−220000−2−222-22-222−22−2000000−22−2−2220000-222−2-22002−22−200000002-20000002−2000−220000
χ4944444-2-4-44-2-2-244-2-2-2-2002-42-400000044000000002200000000-400000-2-222000000000000000000000000000000
χ5044444-2-4-44-2-2-244-2-2-2-2002-42-4000000-4-400000000220000000040000022-2-2000000000000000000000000000000
χ514444-24-4-4-2444-2-2-2-2-2-200-42-42000044000000000022000000000-4-2-2000000000000000000000000200000000000
χ524444-24-4-4-2444-2-2-2-2-2-200-42-420000-4-4000000000022000000000422000000000000000000000000-200000000000
χ534444-2-244-2-2-2-2-2-2111144-2-2-2-2-2-2-2-20000000044-2-211-2-211110000000000000000-2-2-211110000000000000000000
χ544444-2-244-2-2-2-2-2-2111144-2-2-2-2-2-2-2-200000000-4-42211-2-211110000000000000000222-1-1-1-10000000000000000000
χ554444-2-244-2-2-2-2-2-21111-4-4-2-2-2-22222000000004-4-2-21122-1-1-1-100000000000000002-2211-1-10000000000000000000
χ564444-2-244-2-2-2-2-2-21111-4-4-2-2-2-2222200000000-44221122-1-1-1-10000000000000000-22-2-1-1110000000000000000000
χ5744-4-444004-4-44-4-44-44-40000000000000022−22−222200000000000000000000000022−22−222200000000000000000000000000
χ5844-4-444004-4-44-4-44-44-400000000000000−222222−22000000000000000000000000−222222−2200000000000000000000000000
χ5944-4-44-200422-2-4-4-22-22000000i6−i6i6−i6000022−22−222200000000i6−i6i6−i60000000000−2i32i3−222−200000000000000000000000000
χ6044-4-44-200422-2-4-4-22-22000000i6−i6i6−i60000−222222−2200000000i6−i6i6−i600000000002i3−2i32−2−2200000000000000000000000000
χ6144-4-44-200422-2-4-4-22-22000000−i6i6−i6i6000022−22−222200000000−i6i6−i6i600000000002i3−2i3−222−200000000000000000000000000
χ6244-4-44-200422-2-4-4-22-22000000−i6i6−i6i60000−222222−2200000000−i6i6−i6i60000000000−2i32i32−2−2200000000000000000000000000
χ634-44-4444-4-44-4-44-44-4-440044-4-40000000000000000-44000000000000000000000000000000000000000000000000
χ644-44-44-24-4-4-2224-4-222-200-242-4−2i32i32i3−2i30000000000002-200−2i32i32i3−2i3000000000000000000000000000000000000000000
χ654-44-44-24-4-4-2224-4-222-200-242-42i3−2i3−2i32i30000000000002-2002i3−2i3−2i32i3000000000000000000000000000000000000000000
χ664-44-44-2-44-4-2224-4-222-2002-4-240000000044-4-40000-22000000000000000000-2-22200000000000000000000000000
χ674-44-44-2-44-4-2224-4-222-2002-4-2400000000-4-4440000-2200000000000000000022-2-200000000000000000000000000
χ684-44-4-244-424-4-4-22-222-2004-2-4200000000000000−2i32i32-20000000000000000000000000−2i32i3000000000000000000000
χ694-44-4-244-424-4-4-22-222-2004-2-42000000000000002i3−2i32-200000000000000000000000002i3−2i3000000000000000000000
χ704-44-4-24-4424-4-4-22-222-200-424-20000000000000000-220000004-400000000000000000000000000-22000000000000
χ714-44-4-24-4424-4-4-22-222-200-424-20000000000000000-22000000-44000000000000000000000000002-2000000000000
χ724-44-4-2-24-42-222-221-1-1100-2-222−2i32i32i3−2i30000000000−2i32i3-1100i3−i3−i3i30000000000000000000i3−i33-30000000000000000000
χ734-44-4-2-24-42-222-221-1-1100-2-222−2i32i32i3−2i300000000002i3−2i3-1100i3−i3−i3i30000000000000000000−i3i3-330000000000000000000
χ744-44-4-2-24-42-222-221-1-1100-2-2222i3−2i3−2i32i30000000000−2i32i3-1100−i3i3i3−i30000000000000000000i3−i3-330000000000000000000
χ754-44-4-2-24-42-222-221-1-1100-2-2222i3−2i3−2i32i300000000002i3−2i3-1100−i3i3i3−i30000000000000000000−i3i33-30000000000000000000
χ764-4-444-200-42-22-44-2-22222−220000−2−222004-422−2222−2200000022−22−2−22200000000-2200−22−2200000000000000000000000000
χ774-4-444-200-42-22-44-2-22222−220000−2−22200-44−2222−222200000022−22−2−222000000002-2002−22−200000000000000000000000000
χ784-4-444-200-42-22-44-2-222−2222000022−2−2004-4−2222−2222000000−222222−2−200000000-22002−22−200000000000000000000000000
χ794-4-444-200-42-22-44-2-222−2222000022−2−200-4422−2222−22000000−222222−2−2000000002-200−22−2200000000000000000000000000
χ804-4-44-24002-44-42-2-2-22222−2200002222−22−224-4000000000000−22−2−2220000-2222−2200000000000000000000000−22000000000
χ814-4-44-24002-44-42-2-2-22222−2200002222−22−22-44000000000000−22−2−22200002-2−2222000000000000000000000002−2000000000
χ824-4-44-24002-44-42-2-2-222−22220000−22−2222224-40000000000002−222−2−20000-22−2222000000000000000000000002−2000000000
χ834-4-44-24002-44-42-2-2-222−22220000−22−222222-440000000000002−222−2−200002-222−2200000000000000000000000−22000000000
χ848888-4-4-8-8-4-4-4-4-4-422220044440000000000000000-2-2000000000000000000000000000000000000000000000000
χ8588-8-8-4800-4-8-8844-44-44000000000000000000000000000000000000000000000000000000000000000000000000
χ8688-8-8-4-400-444-4442-22-20000002i6−2i62i6−2i60000000000000000−i6i6−i6i6000000000000000000000000000000000000000000
χ8788-8-8-4-400-444-4442-22-2000000−2i62i6−2i62i60000000000000000i6−i6i6−i6000000000000000000000000000000000000000000
χ888-88-8-4-4-884-444-442-2-220044-4-400000000000000002-2000000000000000000000000000000000000000000000000
χ898-8-88-4-40044-444-422-2-242−420000−22−22222200000000000000−222222−2−2000000000000000000000000000000000000000000
χ908-8-88-4-40044-444-422-2-2−424200002222−22−220000000000000022−22−2−222000000000000000000000000000000000000000000

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