Finite Group Databasebeta

← Group #11864921

Character table — Group #11864921

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96
size112222222444444444488888888888121212122424242424242424242436363636112222222444444444488888888888121212122424242424242424242436363636
order1223344663666661212121241212121212121212121222446688121224242424444422266446666666612121212412121212121212121212224466881212242424244444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111-11-11-11-11-111-1-1-1-1-1-11111111111111111111111111111111-11-11-11-11-111-1-1-1-1-1-1
χ3111111111111111111111111111111-11-11-11-11-11-1-111-1-1-1-1111111111111111111111111111111-11-11-11-11-11-1-111-1-1-1-1
χ4111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ51111111111111111111-1-1-1-1-111-1-1-1-1111111-1-111-1-1-1-111-1-11111111111111111111-1-1-1-1-111-1-1-1-1111111-1-111-1-1-1-111-1-1
χ61111111111111111111-1-1-1-1-111-1-1-1-11-11-11-1-111-1-1-111-1-1111111111111111111111-1-1-1-1-111-1-1-1-11-11-11-1-111-1-1-111-1-111
χ71111111111111111111-1-1-1-1-111-1-1-1-1-11-11-111-1-1111-1-1-1-1111111111111111111111-1-1-1-1-111-1-1-1-1-11-11-111-1-1111-1-1-1-111
χ81111111111111111111-1-1-1-1-111-1-1-1-1-1-1-1-1-1-111-1-1111111-1-11111111111111111111-1-1-1-1-111-1-1-1-1-1-1-1-1-1-111-1-1111111-1-1
χ922222-2-222222222-2-2-2-200000-2-20000000000000000002-20022222-2-222222222-2-2-2-200000-2-20000000000000000002-200
χ1022222-2-222222222-2-2-2-200000-2-2000000000000000000-220022222-2-222222222-2-2-2-200000-2-2000000000000000000-2200
χ112222-1222-1-12-1-1-1-12-12-1222-1-1-1-1-1-1-1-102020-1020-100-1-100002222-1222-1-12-1-1-1-12-12-1222-1-1-1-1-1-1-1-102020-1020-100-1-10000
χ122222-1222-1-12-1-1-1-12-12-1222-1-1-1-1-1-1-1-10-20-2010-201001100002222-1222-1-12-1-1-1-12-12-1222-1-1-1-1-1-1-1-10-20-2010-20100110000
χ132222-1222-1-12-1-1-1-12-12-1-2-2-211-1-1111102020-10-20-1001100002222-1222-1-12-1-1-1-12-12-1-2-2-211-1-1111102020-10-20-100110000
χ142222-1222-1-12-1-1-1-12-12-1-2-2-211-1-111110-20-201020100-1-100002222-1222-1-12-1-1-1-12-12-1-2-2-211-1-111110-20-201020100-1-10000
χ15222-1222-12-1-12-1-1-1-12-122-1-122-1-1-1-1-1-12020-1020-10-1-1000000222-1222-12-1-12-1-1-1-12-122-1-122-1-1-1-1-1-12020-1020-10-1-1000000
χ16222-1222-12-1-12-1-1-1-12-122-1-122-1-1-1-1-1-1-20-2010-201011000000222-1222-12-1-12-1-1-1-12-122-1-122-1-1-1-1-1-1-20-2010-201011000000
χ17222-1222-12-1-12-1-1-1-12-12-211-2-2-1-111112020-10-20-1011000000222-1222-12-1-12-1-1-1-12-12-211-2-2-1-111112020-10-20-1011000000
χ18222-1222-12-1-12-1-1-1-12-12-211-2-2-1-11111-20-20102010-1-1000000222-1222-12-1-12-1-1-1-12-12-211-2-2-1-11111-20-20102010-1-1000000
χ1922-2222-2222-2-2-2-222-2-22000002-20000020-202000-20000000022-2222-2222-2-2-2-222-2-22000002-20000020-202000-200000000
χ2022-2222-2222-2-2-2-222-2-22000002-200000-2020-200020000000022-2222-2222-2-2-2-222-2-22000002-200000-2020-2000200000000
χ2122-222-22222-2-2-2-22-222-200000-22000020-202000-200000000022-222-22222-2-2-2-22-222-200000-22000020-202000-2000000000
χ2222-222-22222-2-2-2-22-222-200000-220000-2020-2000200000000022-222-22222-2-2-2-22-222-200000-220000-2020-20002000000000
χ2322-22-12-22-1-1-2111-121-2-1000i3−i3-11i3i3−i3−i3020-20-1000100i3−i3000022-22-12-22-1-1-2111-121-2-1000i3−i3-11i3i3−i3−i3020-20-1000100i3−i30000
χ2422-22-12-22-1-1-2111-121-2-1000i3−i3-11i3i3−i3−i30-20201000-100−i3i3000022-22-12-22-1-1-2111-121-2-1000i3−i3-11i3i3−i3−i30-20201000-100−i3i30000
χ2522-22-12-22-1-1-2111-121-2-1000−i3i3-11−i3−i3i3i3020-20-1000100−i3i3000022-22-12-22-1-1-2111-121-2-1000−i3i3-11−i3−i3i3i3020-20-1000100−i3i30000
χ2622-22-12-22-1-1-2111-121-2-1000−i3i3-11−i3−i3i3i30-20201000-100i3−i3000022-22-12-22-1-1-2111-121-2-1000−i3i3-11−i3−i3i3i30-20201000-100i3−i30000
χ2722-2-12-22-12-11-211-112-1-20i3−i3001-1i3−i3i3−i320-20-100010i3−i300000022-2-12-22-12-11-211-112-1-20i3−i3001-1i3−i3i3−i320-20-100010i3−i3000000
χ2822-2-12-22-12-11-211-112-1-20i3−i3001-1i3−i3i3−i3-20201000-10−i3i300000022-2-12-22-12-11-211-112-1-20i3−i3001-1i3−i3i3−i3-20201000-10−i3i3000000
χ2922-2-12-22-12-11-211-112-1-20−i3i3001-1−i3i3−i3i320-20-100010−i3i300000022-2-12-22-12-11-211-112-1-20−i3i3001-1−i3i3−i3i320-20-100010−i3i3000000
χ3022-2-12-22-12-11-211-112-1-20−i3i3001-1−i3i3−i3i3-20201000-10i3−i300000022-2-12-22-12-11-211-112-1-20−i3i3001-1−i3i3−i3i3-20201000-10i3−i3000000
χ314444-2-4-44-2-24-2-2-2-2-42-42000002200000000000000000000004444-2-4-44-2-24-2-2-2-2-42-4200000220000000000000000000000
χ32444-24-4-4-24-2-24-2-2-22-42-400000220000000000000000000000444-24-4-4-24-2-24-2-2-22-42-400000220000000000000000000000
χ33444-2-244-2-21-2-2111-2-2-2-24-2-2-2-2111111000000000000000000444-2-244-2-21-2-2111-2-2-2-24-2-2-2-2111111000000000000000000
χ34444-2-244-2-21-2-2111-2-2-2-2-4222211-1-1-1-1000000000000000000444-2-244-2-21-2-2111-2-2-2-2-4222211-1-1-1-1000000000000000000
χ35444-2-2-4-4-2-21-2-2111222200000-1-13-3-33000000000000000000444-2-2-4-4-2-21-2-2111222200000-1-13-3-33000000000000000000
χ36444-2-2-4-4-2-21-2-2111222200000-1-1-333-3000000000000000000444-2-2-4-4-2-21-2-2111222200000-1-1-333-3000000000000000000
χ3744-44-2-444-2-2-4222-2-4-242000002-2000000000000000000000044-44-2-444-2-2-4222-2-4-242000002-20000000000000000000000
χ3844-4-244-4-24-22-422-2-2-42400000-22000000000000000000000044-4-244-4-24-22-422-2-2-42400000-220000000000000000000000
χ3944-4-2-24-4-2-2122-1-11-222-20002i3−2i31-1−i3−i3i3i300000000000000000044-4-2-24-4-2-2122-1-11-222-20002i3−2i31-1−i3−i3i3i3000000000000000000
χ4044-4-2-24-4-2-2122-1-11-222-2000−2i32i31-1i3i3−i3−i300000000000000000044-4-2-24-4-2-2122-1-11-222-2000−2i32i31-1i3i3−i3−i3000000000000000000
χ4144-4-2-2-44-2-2122-1-112-2-2202i3−2i300-11−i3i3−i3i300000000000000000044-4-2-2-44-2-2122-1-112-2-2202i3−2i300-11−i3i3−i3i3000000000000000000
χ4244-4-2-2-44-2-2122-1-112-2-220−2i32i300-11i3−i3i3−i300000000000000000044-4-2-2-44-2-2122-1-112-2-220−2i32i300-11i3−i3i3−i3000000000000000000
χ434-404400-4-440000-400000000000000000000000000000002-24-404400-4-440000-400000000000000000000000000000002-2
χ444-404400-4-440000-40000000000000000000000000000000-224-404400-4-440000-40000000000000000000000000000000-22
χ458-808-400-84-4000040000000000000000000000000000000008-808-400-84-400004000000000000000000000000000000000
χ468-80-48004-8-4000040000000000000000000000000000000008-80-48004-8-400004000000000000000000000000000000000
χ478-80-4-400442006-6-20000000000000000000000000000000008-80-4-400442006-6-2000000000000000000000000000000000
χ488-80-4-40044200-66-20000000000000000000000000000000008-80-4-40044200-66-2000000000000000000000000000000000
χ49111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ501111111111111111111111111111111-11-11-11-11-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-11-11-11-1-1111111
χ51111111111111111111111111111111-11-11-11-11-11-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-11-11-11-111-1-11111
χ52111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1
χ531111111111111111111-1-1-1-1-111-1-1-1-1111111-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-11111-1-1-1-1-1-111-1-11111-1-111
χ541111111111111111111-1-1-1-1-111-1-1-1-11-11-11-1-111-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-11111-11-11-111-1-1111-1-111-1-1
χ551111111111111111111-1-1-1-1-111-1-1-1-1-11-11-111-1-1111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-111111-11-11-1-111-1-1-11111-1-1
χ561111111111111111111-1-1-1-1-111-1-1-1-1-1-1-1-1-1-111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-11111111111-1-111-1-1-1-1-1-111
χ5722222-2-222222222-2-2-2-200000-2-20000000000000000002-200-2-2-2-2-222-2-2-2-2-2-2-2-222220000022000000000000000000-2200
χ5822222-2-222222222-2-2-2-200000-2-2000000000000000000-2200-2-2-2-2-222-2-2-2-2-2-2-2-2222200000220000000000000000002-200
χ592222-1222-1-12-1-1-1-12-12-1222-1-1-1-1-1-1-1-102020-1020-100-1-10000-2-2-2-21-2-2-211-21111-21-21-2-2-2111111110-20-2010-20100110000
χ602222-1222-1-12-1-1-1-12-12-1222-1-1-1-1-1-1-1-10-20-2010-20100110000-2-2-2-21-2-2-211-21111-21-21-2-2-21111111102020-1020-100-1-10000
χ612222-1222-1-12-1-1-1-12-12-1-2-2-211-1-1111102020-10-20-100110000-2-2-2-21-2-2-211-21111-21-21222-1-111-1-1-1-10-20-201020100-1-10000
χ622222-1222-1-12-1-1-1-12-12-1-2-2-211-1-111110-20-201020100-1-10000-2-2-2-21-2-2-211-21111-21-21222-1-111-1-1-1-102020-10-20-100110000
χ63222-1222-12-1-12-1-1-1-12-122-1-122-1-1-1-1-1-12020-1020-10-1-1000000-2-2-21-2-2-21-211-21111-21-2-211-2-2111111-20-2010-201011000000
χ64222-1222-12-1-12-1-1-1-12-122-1-122-1-1-1-1-1-1-20-2010-201011000000-2-2-21-2-2-21-211-21111-21-2-211-2-21111112020-1020-10-1-1000000
χ65222-1222-12-1-12-1-1-1-12-12-211-2-2-1-111112020-10-20-1011000000-2-2-21-2-2-21-211-21111-21-22-1-12211-1-1-1-1-20-20102010-1-1000000
χ66222-1222-12-1-12-1-1-1-12-12-211-2-2-1-11111-20-20102010-1-1000000-2-2-21-2-2-21-211-21111-21-22-1-12211-1-1-1-12020-10-20-1011000000
χ6722-2222-2222-2-2-2-222-2-22000002-20000020-202000-200000000-2-22-2-2-22-2-2-22222-2-222-200000-2200000-2020-2000200000000
χ6822-2222-2222-2-2-2-222-2-22000002-200000-2020-2000200000000-2-22-2-2-22-2-2-22222-2-222-200000-220000020-202000-200000000
χ6922-222-22222-2-2-2-22-222-200000-22000020-202000-2000000000-2-22-2-22-2-2-2-22222-22-2-22000002-20000-2020-20002000000000
χ7022-222-22222-2-2-2-22-222-200000-220000-2020-20002000000000-2-22-2-22-2-2-2-22222-22-2-22000002-2000020-202000-2000000000
χ7122-22-12-22-1-1-2111-121-2-1000i3−i3-11i3i3−i3−i3020-20-1000100i3−i30000-2-22-21-22-2112-1-1-11-2-121000−i3i31-1−i3−i3i3i30-20201000-100−i3i30000
χ7222-22-12-22-1-1-2111-121-2-1000i3−i3-11i3i3−i3−i30-20201000-100−i3i30000-2-22-21-22-2112-1-1-11-2-121000−i3i31-1−i3−i3i3i3020-20-1000100i3−i30000
χ7322-22-12-22-1-1-2111-121-2-1000−i3i3-11−i3−i3i3i3020-20-1000100−i3i30000-2-22-21-22-2112-1-1-11-2-121000i3−i31-1i3i3−i3−i30-20201000-100i3−i30000
χ7422-22-12-22-1-1-2111-121-2-1000−i3i3-11−i3−i3i3i30-20201000-100i3−i30000-2-22-21-22-2112-1-1-11-2-121000i3−i31-1i3i3−i3−i3020-20-1000100−i3i30000
χ7522-2-12-22-12-11-211-112-1-20i3−i3001-1i3−i3i3−i320-20-100010i3−i3000000-2-221-22-21-21-12-1-11-1-2120−i3i300-11−i3i3−i3i3-20201000-10−i3i3000000
χ7622-2-12-22-12-11-211-112-1-20i3−i3001-1i3−i3i3−i3-20201000-10−i3i3000000-2-221-22-21-21-12-1-11-1-2120−i3i300-11−i3i3−i3i320-20-100010i3−i3000000
χ7722-2-12-22-12-11-211-112-1-20−i3i3001-1−i3i3−i3i320-20-100010−i3i3000000-2-221-22-21-21-12-1-11-1-2120i3−i300-11i3−i3i3−i3-20201000-10i3−i3000000
χ7822-2-12-22-12-11-211-112-1-20−i3i3001-1−i3i3−i3i3-20201000-10i3−i3000000-2-221-22-21-21-12-1-11-1-2120i3−i300-11i3−i3i3−i320-20-100010−i3i3000000
χ794444-2-4-44-2-24-2-2-2-2-42-4200000220000000000000000000000-4-4-4-4244-422-422224-24-200000-2-20000000000000000000000
χ80444-24-4-4-24-2-24-2-2-22-42-400000220000000000000000000000-4-4-42-4442-422-4222-24-2400000-2-20000000000000000000000
χ81444-2-244-2-21-2-2111-2-2-2-24-2-2-2-2111111000000000000000000-4-4-422-4-422-122-1-1-12222-42222-1-1-1-1-1-1000000000000000000
χ82444-2-244-2-21-2-2111-2-2-2-2-4222211-1-1-1-1000000000000000000-4-4-422-4-422-122-1-1-122224-2-2-2-2-1-11111000000000000000000
χ83444-2-2-4-4-2-21-2-2111222200000-1-13-3-33000000000000000000-4-4-4224422-122-1-1-1-2-2-2-20000011-333-3000000000000000000
χ84444-2-2-4-4-2-21-2-2111222200000-1-1-333-3000000000000000000-4-4-4224422-122-1-1-1-2-2-2-200000113-3-33000000000000000000
χ8544-44-2-444-2-2-4222-2-4-242000002-20000000000000000000000-4-44-424-4-4224-2-2-2242-4-200000-220000000000000000000000
χ8644-4-244-4-24-22-422-2-2-42400000-220000000000000000000000-4-442-4-442-42-24-2-2224-2-4000002-20000000000000000000000
χ8744-4-2-24-4-2-2122-1-11-222-20002i3−2i31-1−i3−i3i3i3000000000000000000-4-4422-4422-1-2-211-12-2-22000−2i32i3-11i3i3−i3−i3000000000000000000
χ8844-4-2-24-4-2-2122-1-11-222-2000−2i32i31-1i3i3−i3−i3000000000000000000-4-4422-4422-1-2-211-12-2-220002i3−2i3-11−i3−i3i3i3000000000000000000
χ8944-4-2-2-44-2-2122-1-112-2-2202i3−2i300-11−i3i3−i3i3000000000000000000-4-44224-422-1-2-211-1-222-20−2i32i3001-1i3−i3i3−i3000000000000000000
χ9044-4-2-2-44-2-2122-1-112-2-220−2i32i300-11i3−i3i3−i3000000000000000000-4-44224-422-1-2-211-1-222-202i3−2i3001-1−i3i3−i3i3000000000000000000
χ914-404400-4-440000-400000000000000000000000000000002-2-440-4-40044-4000040000000000000000000000000000000-22
χ924-404400-4-440000-40000000000000000000000000000000-22-440-4-40044-40000400000000000000000000000000000002-2
χ938-808-400-84-400004000000000000000000000000000000000-880-84008-440000-4000000000000000000000000000000000
χ948-80-48004-8-400004000000000000000000000000000000000-8804-800-4840000-4000000000000000000000000000000000
χ958-80-4-400442006-6-2000000000000000000000000000000000-8804400-4-4-200-662000000000000000000000000000000000
χ968-80-4-40044200-66-2000000000000000000000000000000000-8804400-4-4-2006-62000000000000000000000000000000000

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