Finite Group Databasebeta

← Group #11887311

Character table — Group #11887311

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90
size111122222222224444444444444466666666888888888888121212121212121212121212121212121616161616161618182424242424242424363636363648484872
order1222334466666636668812121212242424242244888824661212242424242424224466881212121224242424666121212124444466122424244881212124
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111-1-1-1-111111111-1-111111111111111-1-1-1-1-1-1-111-1-1-1-1-11111-1-111-1-1-1-1
χ3111111111111111111111111111111-1-1-1-1-1-1111111111111111-11111-1-1-1-1-1-1-1-11111111-1-11-1-111111-1-1-1-1-1-1-11-1
χ4111111111111111111111111111111-1-1-1-1-1-1-1-1-1-111111111-1-11-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1111-111-1-111-11
χ51111111111111111111111111111-1-1111111111111111111-1-1-11-1-1-1-1111111111111111-1-1-111-1-1-1-1-1-1-1-1-1-111-1-1
χ61111111111111111111111111111-1-1111111-1-1-1-11111111111-11-1-1-1-111111111-1-1-1-1-1-1-1-1-11-1-111-1-1-1-111-1-1-1-111
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
χ81111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111-1-1-11-1-111111-1
χ9111111111111111111-1-11111-1-1-1-11111-1-1-1-11-11111-1-1-1-1-1-1111111-1-11111-1-1-1-1111-1-1-1-111-11-1111-1-11-1-1-1-11-1-11
χ10111111111111111111-1-11111-1-1-1-11111-1-1-1-1-11-1-111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1-11111111-11-1-11-1-1111-1-1-111-1
χ11111111111111111111-1-11111-1-1-1-111-1-111111-11111-1-1-1-1-1-1111-111-1-1-1-1-1-11111111-1-1-1-1-1-1-1-11111-1-1-11111-11-1-1
χ12111111111111111111-1-11111-1-1-1-111-1-11111-11-1-111-1-1-1-1-1-1-1-11-111-1-1-1-1-1-11111-1-1-11111-1-111-1-1-11-1-1-1-1-1111-111
χ13111111111111111111-1-11111-1-1-1-1-1-111-1-1-1-11-11111-1-1-1-1-1-1-1-1-11-1-1111111-1-1-1-1111-1-1-1-1-1-111-1-1-1-111-111111-11-1
χ14111111111111111111-1-11111-1-1-1-1-1-111-1-1-1-1-11-1-111-1-1-1-1-1-111-11-1-1111111-1-1-1-1-1-1-11111-1-1-1-1111-111-1-1-111-11-11
χ15111111111111111111-1-11111-1-1-1-1-1-1-1-111111-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111111-1-1-1-1111-11-1-1-1111-1-1-1-1-1111
χ16111111111111111111-1-11111-1-1-1-1-1-1-1-11111-11-1-111-1-1-1-1-1-111-1-1-1-111-1-1-1-11111-1-1-1111111-11-111-111111-1-11-1-1-1
χ17222222-2-2222222222200-2-2-2-20000222200000000-2-200000000-2-2220022-2-2000000000002200000-200-200000000
χ18222222-2-2222222222200-2-2-2-2000022-2-200000000-2-200000000-222200-2-22200000000000-2-200000-200200000000
χ19222222-2-2222222222200-2-2-2-20000-2-22200000000-2-2000000002-2-2-20022-2-200000000000-2-200000200200000000
χ20222222-2-2222222222200-2-2-2-20000-2-2-2-200000000-2-20000000022-2-200-2-222000000000002200000200-200000000
χ2122222-122-1-1222-1-1-1-1-1222-12-122222200000022-1-1-1-1-1-1-1-1-1-12220-1-122000000002-1-1-12-1-100200-1-1-1-1-10000000-10
χ2222222-122-1-1222-1-1-1-1-1222-12-1222222000000-2-211-1-1-1-1-1-1-1-1-2-220-1-12200000000-2111-21100-20011-1-1-1000000010
χ2322222-122-1-1222-1-1-1-1-1222-12-12222-2-200000022-1-1-1-1-1-1-1-1-1-1-2-2-2011-2-2000000002-1-1-12-1-100-20011111000000010
χ2422222-122-1-1222-1-1-1-1-1222-12-12222-2-2000000-2-211-1-1-1-1-1-1-1-122-2011-2-200000000-2111-21100200-1-11110000000-10
χ2522222-122-1-1222-1-1-1-1-1-2-22-12-1-2-2-2-2220000002-2-1-1-1-11111112220-1-1-2-2000000002-1-11-21100-200-1-1-111000000010
χ2622222-122-1-1222-1-1-1-1-1-2-22-12-1-2-2-2-222000000-2211-1-1111111-2-220-1-1-2-200000000-211-12-1-10020011-1110000000-10
χ2722222-122-1-1222-1-1-1-1-1-2-22-12-1-2-2-2-2-2-20000002-2-1-1-1-1111111-2-2-201122000000002-1-11-21100200111-1-10000000-10
χ2822222-122-1-1222-1-1-1-1-1-2-22-12-1-2-2-2-2-2-2000000-2211-1-111111122-20112200000000-211-12-1-100-200-1-11-1-1000000010
χ292222-122222-1-1-12-1-1-1-122-12-12-1-1-1-1002222222222-1-122-1-1-1-100020000-1-1-1-1-1-1-1-1-1-1-12-1-1-1000220000000000-1-100
χ302222-122222-1-1-12-1-1-1-122-12-12-1-1-1-100222222-2-2-2-2-1-122-1-1-1-100020000-1-1-1-1-1-1-1-1111-2111000-2-200000000001100
χ312222-122222-1-1-12-1-1-1-122-12-12-1-1-1-100-2-2-2-2-2-22222-1-122-1-1-1-1000-2000011111111-1-1-12-1-1-1000-2-200000000001100
χ322222-122222-1-1-12-1-1-1-122-12-12-1-1-1-100-2-2-2-2-2-2-2-2-2-2-1-122-1-1-1-1000-2000011111111111-2111000220000000000-1-100
χ332222-122222-1-1-12-1-1-1-1-2-2-12-1211110022-2-2-2-22-222-1-1-2-2111100020000-1-1-1-11111-1-1-1-21110002-20000000000-1100
χ342222-122222-1-1-12-1-1-1-1-2-2-12-1211110022-2-2-2-2-22-2-2-1-1-2-2111100020000-1-1-1-111111112-1-1-1000-2200000000001-100
χ352222-122222-1-1-12-1-1-1-1-2-2-12-12111100-2-222222-222-1-1-2-21111000-200001111-1-1-1-1-1-1-1-2111000-2200000000001-100
χ362222-122222-1-1-12-1-1-1-1-2-2-12-12111100-2-22222-22-2-2-1-1-2-21111000-200001111-1-1-1-11112-1-1-10002-20000000000-1100
χ372-22-2222-2-2-2-22-222-22-20022-2-2000000002i2i−2i−2i0000-220000002-200000000002i2i−2i−2i0000000000002-200002i−2i000000
χ382-22-2222-2-2-2-22-222-22-20022-2-2000000002i2i−2i−2i0000-22000000-2200000000002i2i−2i−2i000000000000-220000−2i2i000000
χ392-22-2222-2-2-2-22-222-22-20022-2-200000000−2i−2i2i2i0000-220000002-20000000000−2i−2i2i2i0000000000002-20000−2i2i000000
χ402-22-2222-2-2-2-22-222-22-20022-2-200000000−2i−2i2i2i0000-22000000-220000000000−2i−2i2i2i000000000000-2200002i−2i000000
χ412-2-2222002-2-2-22-222-2-2−i2i20000−i2−i2i2i22-22i−2i2−22−2000000−i2i2−i2−i2i2i200002-2−i2i22i−2i002−22−200000002i−2i000000−i2i20002−20000
χ422-2-2222002-2-2-22-222-2-2−i2i20000−i2−i2i2i22-2−2i2i−22−22000000−i2i2−i2−i2i2i200002-2−i2i2−2i2i00−22−220000000−2i2i000000−i2i2000−220000
χ432-2-2222002-2-2-22-222-2-2−i2i20000−i2−i2i2i2-222i−2i2−22−2000000−i2i2−i2−i2i2i20000-22i2−i22i−2i002−22−20000000−2i2i000000i2−i2000−220000
χ442-2-2222002-2-2-22-222-2-2−i2i20000−i2−i2i2i2-22−2i2i−22−22000000−i2i2−i2−i2i2i20000-22i2−i2−2i2i00−22−2200000002i−2i000000i2−i20002−20000
χ452-2-2222002-2-2-22-222-2-2i2−i20000i2i2−i2−i22-22i−2i−22−22000000i2−i2i2i2−i2−i200002-2i2−i22i−2i00−22−2200000002i−2i000000i2−i2000−220000
χ462-2-2222002-2-2-22-222-2-2i2−i20000i2i2−i2−i22-2−2i2i2−22−2000000i2−i2i2i2−i2−i200002-2i2−i2−2i2i002−22−20000000−2i2i000000i2−i20002−20000
χ472-2-2222002-2-2-22-222-2-2i2−i20000i2i2−i2−i2-222i−2i−22−22000000i2−i2i2i2−i2−i20000-22−i2i22i−2i00−22−220000000−2i2i000000−i2i20002−20000
χ482-2-2222002-2-2-22-222-2-2i2−i20000i2i2−i2−i2-22−2i2i2−22−2000000i2−i2i2i2−i2−i20000-22−i2i2−2i2i002−22−200000002i−2i000000−i2i2000−220000
χ4944444-2-4-4-2-2444-2-2-2-2-200-42-4200004400000000002200000000-40-2-2000000000000000000000000200000000000
χ5044444-2-4-4-2-2444-2-2-2-2-200-42-420000-4-4000000000022000000004022000000000000000000000000-200000000000
χ514444-24-4-444-2-2-24-2-2-2-2002-42-4000000440000000022000000000-40000-2-222000000000000000000000000000000
χ524444-24-4-444-2-2-24-2-2-2-2002-42-4000000-4-400000000220000000004000022-2-2000000000000000000000000000000
χ534444-2-244-2-2-2-2-2-2111144-2-2-2-2-2-2-2-20000000044-2-211-2-211110000000000000000-211-2-2110000000000000000000
χ544444-2-244-2-2-2-2-2-2111144-2-2-2-2-2-2-2-200000000-4-42211-2-2111100000000000000002-1-122-1-10000000000000000000
χ554444-2-244-2-2-2-2-2-21111-4-4-2-2-2-22222000000004-4-2-21122-1-1-1-10000000000000000-21122-1-10000000000000000000
χ564444-2-244-2-2-2-2-2-21111-4-4-2-2-2-2222200000000-44221122-1-1-1-100000000000000002-1-1-2-2110000000000000000000
χ5744-4-44400-444-4-4-44-4-4400000000000000−2i22i22i2−2i2000000000000000000000000−2i22i22i2−2i200000000000000000000000000
χ5844-4-44400-444-4-4-44-4-44000000000000002i2−2i2−2i22i20000000000000000000000002i2−2i2−2i22i200000000000000000000000000
χ5944-4-4-2400-44-222-4-222-2000000i6−i6i6−i60000−2i22i22i2−2i200000000i6−i6i6−i6000000000023−23i2−i2−i2i200000000000000000000000000
χ6044-4-4-2400-44-222-4-222-2000000i6−i6i6−i600002i2−2i2−2i22i200000000i6−i6i6−i60000000000−2323−i2i2i2−i200000000000000000000000000
χ6144-4-4-2400-44-222-4-222-2000000−i6i6−i6i60000−2i22i22i2−2i200000000−i6i6−i6i60000000000−2323i2−i2−i2i200000000000000000000000000
χ6244-4-4-2400-44-222-4-222-2000000−i6i6−i6i600002i2−2i2−2i22i200000000−i6i6−i6i6000000000023−23−i2i2i2−i200000000000000000000000000
χ634-44-444-44-4-4-44-444-44-400-4-44400000000000000004-4000000000000000000000000000000000000000000000000
χ644-44-44-24-422-44-4-2-22-22004-2-4200000000000000002-20000004-400000000000000000000000000-22000000000000
χ654-44-44-24-422-44-4-2-22-22004-2-4200000000000000002-2000000-44000000000000000000000000002-2000000000000
χ664-44-44-2-4422-44-4-2-22-2200-424-200000000000000−2i32i3-2200000000000000000000000−2i32i300000000000000000000000
χ674-44-44-2-4422-44-4-2-22-2200-424-2000000000000002i3−2i3-22000000000000000000000002i3−2i300000000000000000000000
χ684-44-4-244-4-4-42-224-22-2200-242-4000000004i4i−4i−4i00002-2000000000000000000−2i−2i2i2i00000000000000000000000000
χ694-44-4-244-4-4-42-224-22-2200-242-400000000−4i−4i4i4i00002-20000000000000000002i2i−2i−2i00000000000000000000000000
χ704-44-4-24-44-4-42-224-22-22002-4-2423−23−2323000000000000-220023−23−2323000000000000000000000000000000000000000000
χ714-44-4-24-44-4-42-224-22-22002-4-24−232323−23000000000000-2200−232323−23000000000000000000000000000000000000000000
χ724-44-4-2-2-44222-22-21-11-10022-2-223−23−23230000000000−2i32i31-100−333−300000000000000000i3−i3003i−3i0000000000000000000
χ734-44-4-2-2-44222-22-21-11-10022-2-223−23−232300000000002i3−2i31-100−333−300000000000000000−i3i300−3i3i0000000000000000000
χ744-44-4-2-2-44222-22-21-11-10022-2-2−232323−230000000000−2i32i31-1003−3−3300000000000000000i3−i300−3i3i0000000000000000000
χ754-44-4-2-2-44222-22-21-11-10022-2-2−232323−2300000000002i3−2i31-1003−3−3300000000000000000−i3i3003i−3i0000000000000000000
χ764-4-444-200-22-4-442-2-222−2i22i20000−2i2−2i22i22i24-4000000000000i2−i2i2i2−i2−i20000-22−2i22i200000000000000000000000i2−i2000000000
χ774-4-444-200-22-4-442-2-222−2i22i20000−2i2−2i22i22i2-44000000000000i2−i2i2i2−i2−i200002-22i2−2i200000000000000000000000−i2i2000000000
χ784-4-444-200-22-4-442-2-2222i2−2i200002i22i2−2i2−2i24-4000000000000−i2i2−i2−i2i2i20000-222i2−2i200000000000000000000000−i2i2000000000
χ794-4-444-200-22-4-442-2-2222i2−2i200002i22i2−2i2−2i2-44000000000000−i2i2−i2−i2i2i200002-2−2i22i200000000000000000000000i2−i2000000000
χ804-4-44-24004-422-2-4-2-222−2i22i20000i2i2−i2−i2004i−4i22−2222−22000000−2i22i2i2i2−i2−i200000000−2i2i00−22−2200000000000000000000000000
χ814-4-44-24004-422-2-4-2-222−2i22i20000i2i2−i2−i200−4i4i−2222−2222000000−2i22i2i2i2−i2−i2000000002i−2i002−22−200000000000000000000000000
χ824-4-44-24004-422-2-4-2-2222i2−2i20000−i2−i2i2i2004i−4i−2222−22220000002i2−2i2−i2−i2i2i200000000−2i2i002−22−200000000000000000000000000
χ834-4-44-24004-422-2-4-2-2222i2−2i20000−i2−i2i2i200−4i4i22−2222−220000002i2−2i2−i2−i2i2i2000000002i−2i00−22−2200000000000000000000000000
χ848888-4-4-8-8-4-4-4-4-4-422220044440000000000000000-2-2000000000000000000000000000000000000000000000000
χ8588-8-88-4004-48-8-84-444-4000000000000000000000000000000000000000000000000000000000000000000000000
χ8688-8-8-4-4004-4-44442-2-220000002i6−2i62i6−2i60000000000000000−i6i6−i6i6000000000000000000000000000000000000000000
χ8788-8-8-4-4004-4-44442-2-22000000−2i62i6−2i62i60000000000000000i6−i6i6−i6000000000000000000000000000000000000000000
χ888-88-8-4-48-8444-44-42-22-200-4-4440000000000000000-22000000000000000000000000000000000000000000000000
χ898-8-88-4-400-4444-4422-2-2−4i24i200002i22i2−2i2−2i2000000000000002i2−2i2−i2−i2i2i2000000000000000000000000000000000000000000
χ908-8-88-4-400-4444-4422-2-24i2−4i20000−2i2−2i22i22i200000000000000−2i22i2i2i2−i2−i2000000000000000000000000000000000000000000

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