Finite Group Databasebeta

← Group #11872724

Character table — Group #11872724

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87
size111122222222224444444444446666888888888888888121212121212121212121212161616161616242424242424242424242424242424242436363636363672
order122233446666662346666612121212444424666661212121212121212222244881212121266612121224666666812121212242424244444888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111-1-1-1-111-1-111111111111111-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111-1-11-1-11111-1-11111111111-1-11111-1-1-1-1-1-1-1-1-1-11111-111-1-1-1-1-1-11111-1-1-1
χ4111111111111111111111111111111-1-11-1-11111-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-11111-1-1-1-1111
χ511111111111111111111111111-1-1-1-11111111111111111111-1-111-1-1-1-1111111-1-1-1-111111-1-1-1-11111-1-1-1-1-1-1-1
χ611111111111111111111111111-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111
χ711111111111111111111111111-1-1-1-1-1-11-1-11111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-111-1-1-1-1-1-1-1-1111
χ811111111111111111111111111-1-1-1-1-1-11-1-11111-1-11111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11-1-11111111111-1-1-1
χ911111111111111-11-1-1-1111111111111-1-111-1-1-1-1-1-111-1-111-1-1-1-1111111111-1-1-1-11-1-111-1-1-1-1-11111-1-1-1-11111-1
χ1011111111111111-11-1-1-1111111111111-1-111-1-1-1-1-1-111-1-1-1-111-1-1-1-11111111-1-1-1-11-1-1-1-1111-1-111-1-11111-1-1-1-11
χ1111111111111111-11-1-1-111111111111-11-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-11111-1-1-11111-11111-1-11-1-1-1-1-1-111-1-111-1-11
χ1211111111111111-11-1-1-111111111111-11-1-1-1-1-1-1-11111-1-1-1-111-1-1111111-1-1-11111-111-1-111-1-1-1-1-111-1-111-1-111-1
χ1311111111111111-11-1-1-11111111-1-1-1-11-1-111-1-1-1-1-1-111-1-111-1-11111-1-1-1-1111-1-1-11-11111-1-1-111-1-111-1-111-1-1-1-11
χ1411111111111111-11-1-1-11111111-1-1-1-11-1-111-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1111-1-1-11-111-1-111111-1-1-1-111-1-11111-1
χ1511111111111111-11-1-1-11111111-1-1-1-1-11-1-1-1-1-1-1-11111-1-111-1-111-1-1-1-1-1-1-1-1-1111-11-1-111-1-111111-1-11111-1-111-1
χ1611111111111111-11-1-1-11111111-1-1-1-1-11-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1-1111-11-1-1-1-111-1111111-1-1-1-111-1-11
χ17222222-2-222222222-222222-2-2-2-222-2-20020022-2-200-2-2-2-20000-220022-2-2000000000000000-220000000000000
χ18222222-2-222222222-222222-2-2-2-2-2-2220020022-2-200-2-2-2-200002-200-2-2220000000000000002-20000000000000
χ19222222-2-2222222-222-2-2222-2-2-2-222-2-200-200-2-22200-2-22200002-20022-2-20000000000000002-20000000000000
χ20222222-2-2222222-222-2-2222-2-2-2-2-2-22200-200-2-22200-2-2220000-2200-2-222000000000000000-220000000000000
χ2122222-122-12-1-1222-12-1-1-1-1-122-1-1000022222-1-12-122-1-1-1-1222200220000-1-1-1-1-1-10000-1-1-1-120000-1-1-1-10000000
χ2222222-122-12-1-1222-12-1-1-1-1-122-1-1000022222-1-12-122-1-1-1-1-2-2-2-200-2-20000-1-1-1-1-1-100001111-2000011110000000
χ2322222-122-12-1-1222-12-1-1-1-1-122-1-10000-2-22-2-2-1-12-1-2-2-1-1-1-1222200-2-200001111110000-1-1-1-1-2000011110000000
χ2422222-122-12-1-1222-12-1-1-1-1-122-1-10000-2-22-2-2-1-12-1-2-2-1-1-1-1-2-2-2-2002200001111110000111120000-1-1-1-10000000
χ2522222-122-12-1-122-2-1-211-1-1-122-1-100002-2-22211-21-2-2-1-11122-2-200220000-1-1-11110000-1-111-20000-1-1110000000
χ2622222-122-12-1-122-2-1-211-1-1-122-1-100002-2-22211-21-2-2-1-111-2-22200-2-20000-1-1-1111000011-1-12000011-1-10000000
χ2722222-122-12-1-122-2-1-211-1-1-122-1-10000-22-2-2-211-2122-1-11122-2-200-2-20000111-1-1-10000-1-1112000011-1-10000000
χ2822222-122-12-1-122-2-1-211-1-1-122-1-10000-22-2-2-211-2122-1-111-2-22200220000111-1-1-1000011-1-1-20000-1-1110000000
χ292222-12222-122-1-12-1222-1-1-1-1-122222222-1-1-1-1-1-12-1-1-1-1-1-100002200-1-1-1-12-1-12-1-122-1-100000-1-1-1-100000000000
χ302222-12222-122-1-12-1222-1-1-1-1-1222222-2-2-111-1-1-1211-1-1-1-100002200-1-1-1-1-211-211-2-21100000-1-11100000000000
χ312222-12222-122-1-12-1222-1-1-1-1-122-2-2-2-222-1-1-1-1-1-12-1-1-1-1-1-10000-2-20011112-1-12-1-1-2-21100000111100000000000
χ322222-12222-122-1-12-1222-1-1-1-1-122-2-2-2-2-2-2-111-1-1-1211-1-1-1-10000-2-2001111-211-21122-1-10000011-1-100000000000
χ332222-12222-122-1-1-2-1-2-2-2-1-1-1-1-12222222-21-1-1111-211-1-1110000-2-200-1-1-1-12-1-1-211-22110000011-1-100000000000
χ342222-12222-122-1-1-2-1-2-2-2-1-1-1-1-1222222-22111111-2-1-1-1-1110000-2-200-1-1-1-1-2112-1-12-2-1-100000111100000000000
χ352222-12222-122-1-1-2-1-2-2-2-1-1-1-1-122-2-2-2-22-21-1-1111-211-1-1110000220011112-1-1-2112-2-1-100000-1-11100000000000
χ362222-12222-122-1-1-2-1-2-2-2-1-1-1-1-122-2-2-2-2-22111111-2-1-1-1-111000022001111-2112-1-1-221100000-1-1-1-100000000000
χ372222-12-2-22-122-1-12-1-222-1-1-111-2-222-2-200-1−i3i3-1-11-2−i3i311110000-2200-1-1110−i3i30−i3i300−i3i3000001-1−i3i300000000000
χ382222-12-2-22-122-1-12-1-222-1-1-111-2-222-2-200-1i3−i3-1-11-2i3−i311110000-2200-1-1110i3−i30i3−i300i3−i3000001-1i3−i300000000000
χ392222-12-2-22-122-1-12-1-222-1-1-111-2-2-2-22200-1−i3i3-1-11-2−i3i3111100002-20011-1-10−i3i30−i3i300i3−i300000-11i3−i300000000000
χ402222-12-2-22-122-1-12-1-222-1-1-111-2-2-2-22200-1i3−i3-1-11-2i3−i3111100002-20011-1-10i3−i30i3−i300−i3i300000-11−i3i300000000000
χ412222-12-2-22-122-1-1-2-12-2-2-1-1-111-2-222-2-2001−i3i311-12i3−i311-1-100002-200-1-1110−i3i30i3−i300i3−i300000-11−i3i300000000000
χ422222-12-2-22-122-1-1-2-12-2-2-1-1-111-2-222-2-2001i3−i311-12−i3i311-1-100002-200-1-1110i3−i30−i3i300−i3i300000-11i3−i300000000000
χ432222-12-2-22-122-1-1-2-12-2-2-1-1-111-2-2-2-222001−i3i311-12i3−i311-1-10000-220011-1-10−i3i30i3−i300−i3i3000001-1i3−i300000000000
χ442222-12-2-22-122-1-1-2-12-2-2-1-1-111-2-2-2-222001i3−i311-12−i3i311-1-10000-220011-1-10i3−i30−i3i300i3−i3000001-1−i3i300000000000
χ4522-2-2222-2-222-2-2-202000-22-22-22-22i−2i2i−2i000000000002-200002-200002i−2i2i−2i0000000000002-20000000002i−2i00000
χ4622-2-2222-2-222-2-2-202000-22-22-22-22i−2i2i−2i000000000002-20000-2200002i−2i2i−2i000000000000-22000000000−2i2i00000
χ4722-2-2222-2-222-2-2-202000-22-22-22-2−2i2i−2i2i000000000002-200002-20000−2i2i−2i2i0000000000002-2000000000−2i2i00000
χ4822-2-2222-2-222-2-2-202000-22-22-22-2−2i2i−2i2i000000000002-20000-220000−2i2i−2i2i000000000000-220000000002i−2i00000
χ4922-2-222-22-222-2-2-202000-22-2-22-222i−2i−2i2i00000000000-22002-20000002i−2i−2i2i00000000002-200000000000002i−2i000
χ5022-2-222-22-222-2-2-202000-22-2-22-222i−2i−2i2i00000000000-2200-220000002i−2i−2i2i0000000000-220000000000000−2i2i000
χ5122-2-222-22-222-2-2-202000-22-2-22-22−2i2i2i−2i00000000000-22002-2000000−2i2i2i−2i00000000002-20000000000000−2i2i000
χ5222-2-222-22-222-2-2-202000-22-2-22-22−2i2i2i−2i00000000000-2200-22000000−2i2i2i−2i0000000000-2200000000000002i−2i000
χ5344444-2-4-4-24-2-2444-2-4-2-2-2-2-2-4-422000000400-2-2-42002222000000000000000000000000000000000000000000
χ5444444-2-4-4-24-2-244-4-2422-2-2-2-4-422000000-400224-20022-2-2000000000000000000000000000000000000000000
χ554444-2-244-2-2-2-2-2-2414-2-2111-2-2-2-2000044-2-2-211-2-2-2-21111000000000000-211-211000000000000000000000000
χ564444-2-244-2-2-2-2-2-2414-2-2111-2-2-2-20000-4-4-22211-2-22211110000000000002-1-12-1-1000000000000000000000000
χ574444-2-244-2-2-2-2-2-2-41-422111-2-2-2-200004-42-2-2-1-1222211-1-1000000000000-2112-1-1000000000000000000000000
χ584444-2-244-2-2-2-2-2-2-41-422111-2-2-2-20000-44222-1-122-2-211-1-10000000000002-1-1-211000000000000000000000000
χ594444-2-2-4-4-2-2-2-2-2-241-4-2-21112222000000-2−2i32i31122−2i32i3-1-1-1-10000000000000i3−i30i3−i3000000000000000000000000
χ604444-2-2-4-4-2-2-2-2-2-241-4-2-21112222000000-22i3−2i311222i3−2i3-1-1-1-10000000000000−i3i30−i3i3000000000000000000000000
χ614444-2-2-4-4-2-2-2-2-2-2-4142211122220000002−2i32i3-1-1-2-22i3−2i3-1-1110000000000000i3−i30−i3i3000000000000000000000000
χ624444-2-2-4-4-2-2-2-2-2-2-41422111222200000022i3−2i3-1-1-2-2−2i32i3-1-1110000000000000−i3i30i3−i3000000000000000000000000
χ6344-4-44-24-424-22-4-40-20002-224-4-22000000000000000-2200004-400000000000000000000-220000000000000000
χ6444-4-44-24-424-22-4-40-20002-224-4-22000000000000000-220000-44000000000000000000002-20000000000000000
χ6544-4-44-2-4424-22-4-40-20002-22-442-20000000000000002-2004-400000000000000000000-22000000000000000000
χ6644-4-44-2-4424-22-4-40-20002-22-442-20000000000000002-200-44000000000000000000002-2000000000000000000
χ6744-4-4-244-4-4-24-4220-20002-22-224-44i−4i4i−4i00000000000-220000000000−2i2i−2i2i000000000000000000000000000000
χ6844-4-4-244-4-4-24-4220-20002-22-224-4−4i4i−4i4i00000000000-2200000000002i−2i2i−2i000000000000000000000000000000
χ6944-4-4-24-44-4-24-4220-20002-222-2-444i−4i−4i4i000000000002-20000000000−2i2i2i−2i000000000000000000000000000000
χ7044-4-4-24-44-4-24-4220-20002-222-2-44−4i4i4i−4i000000000002-200000000002i−2i−2i2i000000000000000000000000000000
χ714-44-44400-4-4-444-404000-4-440000000000000000000000000000022−220000000000000000000000022−22000000000
χ724-44-44400-4-4-444-404000-4-4400000000000000000000000000000−222200000000000000000000000−2222000000000
χ734-44-44-2002-42-24-40-20−2i32i322-20000000000000−2i32i30000000000000022−2200000000000000000000000−22i6−i60000000
χ744-44-44-2002-42-24-40-20−2i32i322-20000000000000−2i32i300000000000000−2222000000000000000000000002−2−i6i60000000
χ754-44-44-2002-42-24-40-202i3−2i322-200000000000002i3−2i30000000000000022−2200000000000000000000000−22−i6i60000000
χ764-44-44-2002-42-24-40-202i3−2i322-200000000000002i3−2i300000000000000−2222000000000000000000000002−2i6−i60000000
χ774-4-4444004-4-4-4-44040004-4-40000000000000000000000000000000000000000000000000000000000000022−220
χ784-4-4444004-4-4-4-44040004-4-400000000000000000000000000000000000000000000000000000000000000−22220
χ7988-8-8-4-48-84-4-444402000-22-2-44-440000000000000002-200000000000000000000000000000000000000000000
χ8088-8-8-4-4-884-4-444402000-22-24-44-4000000000000000-2200000000000000000000000000000000000000000000
χ818-88-8-4800-84-88-440-400044-400000000000000000000000000000000000000000000000000000000000000000
χ828-88-8-4-400444-4-44020−4i34i3-2-2200000000000002i3−2i300000000000000000000000000000000000000000000000000
χ838-88-8-4-400444-4-440204i3−4i3-2-220000000000000−2i32i300000000000000000000000000000000000000000000000000
χ848-8-888-400-4-844-880-4000-44400000000000000000000000000000000000000000000000000000000000000000
χ858-8-88-480084-8-84-40-4000-44400000000000000000000000000000000000000000000000000000000000000000
χ868-8-88-4-400-44444-4020002-2-20000000000000000000006i−6i000000000000000000000000000000000000000000
χ878-8-88-4-400-44444-4020002-2-2000000000000000000000−6i6i000000000000000000000000000000000000000000

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