Finite Group Databasebeta

← Group #11864930

Character table — Group #11864930

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96
size112222222444444444488888888888121212122424242424242424242436363636112222222444444444488888888888121212122424242424242424242436363636
order12233446636661212121212126812242424242424242424444681212121212242424442226644666666121212121212681224242424242424242444468121212121224242444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111-1-111-1-1-1111-1-1-1-1-1-111111111111111111111111111111111-1-111-1-1-1111-1-1-1-1-1-1
χ3111111111111111111111111111111-1-111-1-1111-1-1-111-1-1-1-1111111111111111111111111111111-1-111-1-1111-1-1-111-1-1-1-1
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
χ511111111111111111111-11-1-1-1-1-1-1-1-11111-11-1111-1-1-1-111-1-111111111111111111111-11-1-1-1-1-1-1-1-11111-11-1111-1-1-1-111-1-1
χ611111111111111111111-11-1-1-1-1-1-1-1-111-1-1-111-1-11-1-111-1-11111111111111111111111-11-1-1-1-1-1-1-1-111-1-1-111-1-11-1-111-1-111
χ711111111111111111111-11-1-1-1-1-1-1-1-1-1-1111-1-111-111-1-1-1-11111111111111111111111-11-1-1-1-1-1-1-1-1-1-1111-1-111-111-1-1-1-111
χ811111111111111111111-11-1-1-1-1-1-1-1-1-1-1-1-11-11-1-1-1111111-1-111111111111111111111-11-1-1-1-1-1-1-1-1-1-1-1-11-11-1-1-1111111-1-1
χ922222-2-2222222-2-2-2-2-2-220-200000000002-20002-200000000022222-2-2222222-2-2-2-2-2-220-200000000002-20002-2000000000
χ1022222-2-2222222-2-2-2-2-2-220-20000000000-22000-2200000000022222-2-2222222-2-2-2-2-2-220-20000000000-22000-22000000000
χ112222-1222-1-12-1-1-12-1-1-12-12-122-1-1-1-1-1-122002-1000-1-1-10000002222-1222-1-12-1-1-12-1-1-12-12-122-1-1-1-1-1-122002-1000-1-1-1000000
χ122222-1222-1-12-1-1-12-1-1-12-12-122-1-1-1-1-1-1-2-200-210001110000002222-1222-1-12-1-1-12-1-1-12-12-122-1-1-1-1-1-1-2-200-21000111000000
χ132222-1222-1-12-1-1-12-1-1-12-1-2-1-2-21111112200-2-1000-1110000002222-1222-1-12-1-1-12-1-1-12-1-2-1-2-21111112200-2-1000-111000000
χ142222-1222-1-12-1-1-12-1-1-12-1-2-1-2-2111111-2-200210001-1-10000002222-1222-1-12-1-1-12-1-1-12-1-2-1-2-2111111-2-200210001-1-1000000
χ15222-1222-12-1-12-12-12-1-1-1-12-1-1-122-1-1-1-10022002-1-1000-1-10000222-1222-12-1-12-12-12-1-1-1-12-1-1-122-1-1-1-10022002-1-1000-1-10000
χ16222-1222-12-1-12-12-12-1-1-1-12-1-1-122-1-1-1-100-2-200-211000110000222-1222-12-1-12-12-12-1-1-1-12-1-1-122-1-1-1-100-2-200-211000110000
χ17222-1222-12-1-12-12-12-1-1-1-1-2-111-2-21111002200-2-1-1000110000222-1222-12-1-12-12-12-1-1-1-1-2-111-2-21111002200-2-1-1000110000
χ18222-1222-12-1-12-12-12-1-1-1-1-2-111-2-2111100-2-200211000-1-10000222-1222-12-1-12-12-12-1-1-1-1-2-111-2-2111100-2-200211000-1-10000
χ19222-12-2-2-12-1-12-1-21-2111-1013−30033−3−3002-2000-110003−30000222-12-2-2-12-1-12-1-21-2111-1013−30033−3−3002-2000-110003−30000
χ20222-12-2-2-12-1-12-1-21-2111-1013−30033−3−300-220001-1000−330000222-12-2-2-12-1-12-1-21-2111-1013−30033−3−300-220001-1000−330000
χ21222-12-2-2-12-1-12-1-21-2111-101−3300−3−333002-2000-11000−330000222-12-2-2-12-1-12-1-21-2111-101−3300−3−333002-2000-11000−330000
χ22222-12-2-2-12-1-12-1-21-2111-101−3300−3−33300-220001-10003−30000222-12-2-2-12-1-12-1-21-2111-101−3300−3−33300-220001-10003−30000
χ2322-2222-2222-2-22-22222-2-20-2000000002-20002000-20000000022-2222-2222-2-22-22222-2-20-2000000002-20002000-200000000
χ2422-2222-2222-2-22-22222-2-20-200000000-22000-200020000000022-2222-2222-2-22-22222-2-20-200000000-22000-2000200000000
χ2522-222-22222-2-222-2-2-2-22-20200000000000000000000002-20022-222-22222-2-222-2-2-2-22-20200000000000000000000002-200
χ2622-222-22222-2-222-2-2-2-22-2020000000000000000000000-220022-222-22222-2-222-2-2-2-22-2020000000000000000000000-2200
χ2722-22-12-22-1-1-21-112-1-1-1-210100−i3i3−i3i3−i3i32-2000-10001−i3i300000022-22-12-22-1-1-21-112-1-1-1-210100−i3i3−i3i3−i3i32-2000-10001−i3i3000000
χ2822-22-12-22-1-1-21-112-1-1-1-210100−i3i3−i3i3−i3i3-220001000-1i3−i300000022-22-12-22-1-1-21-112-1-1-1-210100−i3i3−i3i3−i3i3-220001000-1i3−i3000000
χ2922-22-12-22-1-1-21-112-1-1-1-210100i3−i3i3−i3i3−i32-2000-10001i3−i300000022-22-12-22-1-1-21-112-1-1-1-210100i3−i3i3−i3i3−i32-2000-10001i3−i3000000
χ3022-22-12-22-1-1-21-112-1-1-1-210100i3−i3i3−i3i3−i3-220001000-1−i3i300000022-22-12-22-1-1-21-112-1-1-1-210100i3−i3i3−i3i3−i3-220001000-1−i3i3000000
χ314444-2-4-44-2-24-2-22-4222-4-202000000000000000000000000004444-2-4-44-2-24-2-22-4222-4-20200000000000000000000000000
χ32444-2-244-2-21-2-21-2-2-211-2141-2-2-2-21111000000000000000000444-2-244-2-21-2-21-2-2-211-2141-2-2-2-21111000000000000000000
χ33444-2-244-2-21-2-21-2-2-211-21-412222-1-1-1-1000000000000000000444-2-244-2-21-2-21-2-2-211-21-412222-1-1-1-1000000000000000000
χ34444-2-2-4-4-2-21-2-21222-1-1210-123−2300−3−333000000000000000000444-2-2-4-4-2-21-2-21222-1-1210-123−2300−3−333000000000000000000
χ35444-2-2-4-4-2-21-2-21222-1-1210-1−23230033−3−3000000000000000000444-2-2-4-4-2-21-2-21222-1-1210-1−23230033−3−3000000000000000000
χ3644-44-2-444-2-2-42-2-2-4222420-20000000000000000000000000044-44-2-444-2-2-42-2-2-4222420-200000000000000000000000000
χ3744-4-244-4-24-22-4-2-4-24-2-222020000000000000000000000000044-4-244-4-24-22-4-2-4-24-2-2220200000000000000000000000000
χ3844-4-24-44-24-22-4-242-422-220-20000000000000000000000000044-4-24-44-24-22-4-242-422-220-200000000000000000000000000
χ3944-4-2-24-4-2-212212-2-2112-10-100−2i32i3i3−i3i3−i300000000000000000044-4-2-24-4-2-212212-2-2112-10-100−2i32i3i3−i3i3−i3000000000000000000
χ4044-4-2-24-4-2-212212-2-2112-10-1002i3−2i3−i3i3−i3i300000000000000000044-4-2-24-4-2-212212-2-2112-10-1002i3−2i3−i3i3−i3i3000000000000000000
χ4144-4-2-2-44-2-21221-222-1-1-2-10100003i−3i−3i3i00000000000000000044-4-2-2-44-2-21221-222-1-1-2-10100003i−3i−3i3i000000000000000000
χ4244-4-2-2-44-2-21221-222-1-1-2-1010000−3i3i3i−3i00000000000000000044-4-2-2-44-2-21221-222-1-1-2-1010000−3i3i3i−3i000000000000000000
χ434-404400-4-4400-40000000000000000000000000000000002-24-404400-4-4400-40000000000000000000000000000000002-2
χ444-404400-4-4400-4000000000000000000000000000000000-224-404400-4-4400-4000000000000000000000000000000000-22
χ458-808-400-84-4004000000000000000000000000000000000008-808-400-84-400400000000000000000000000000000000000
χ468-80-48004-8-4004000000000000000000000000000000000008-80-48004-8-400400000000000000000000000000000000000
χ478-80-4-40044200-20006i−6i0000000000000000000000000000008-80-4-40044200-20006i−6i000000000000000000000000000000
χ488-80-4-40044200-2000−6i6i0000000000000000000000000000008-80-4-40044200-2000−6i6i000000000000000000000000000000
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
χ5011111111111111111111111111111111-1-111-1-1-1111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1111-1-1-1111111
χ51111111111111111111111111111111-1-111-1-1111-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1111-1-11111
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
χ5311111111111111111111-11-1-1-1-1-1-1-1-11111-11-1111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-111111111-1-1-1-11-11-1-1-11111-1-111
χ5411111111111111111111-11-1-1-1-1-1-1-1-111-1-1-111-1-11-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-111111111-1-1111-1-111-111-1-111-1-1
χ5511111111111111111111-11-1-1-1-1-1-1-1-1-1-1111-1-111-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11111111111-1-1-111-1-11-1-11111-1-1
χ5611111111111111111111-11-1-1-1-1-1-1-1-1-1-1-1-11-11-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1111111111111-11-1111-1-1-1-1-1-111
χ5722222-2-2222222-2-2-2-2-2-220-200000000002-20002-2000000000-2-2-2-2-222-2-2-2-2-2-2222222-2020000000000-22000-22000000000
χ5822222-2-2222222-2-2-2-2-2-220-20000000000-22000-22000000000-2-2-2-2-222-2-2-2-2-2-2222222-20200000000002-20002-2000000000
χ592222-1222-1-12-1-1-12-1-1-12-12-122-1-1-1-1-1-122002-1000-1-1-1000000-2-2-2-21-2-2-211-2111-2111-21-21-2-2111111-2-200-21000111000000
χ602222-1222-1-12-1-1-12-1-1-12-12-122-1-1-1-1-1-1-2-200-21000111000000-2-2-2-21-2-2-211-2111-2111-21-21-2-211111122002-1000-1-1-1000000
χ612222-1222-1-12-1-1-12-1-1-12-1-2-1-2-21111112200-2-1000-111000000-2-2-2-21-2-2-211-2111-2111-212122-1-1-1-1-1-1-2-200210001-1-1000000
χ622222-1222-1-12-1-1-12-1-1-12-1-2-1-2-2111111-2-200210001-1-1000000-2-2-2-21-2-2-211-2111-2111-212122-1-1-1-1-1-12200-2-1000-111000000
χ63222-1222-12-1-12-12-12-1-1-1-12-1-1-122-1-1-1-10022002-1-1000-1-10000-2-2-21-2-2-21-211-21-21-21111-2111-2-2111100-2-200-211000110000
χ64222-1222-12-1-12-12-12-1-1-1-12-1-1-122-1-1-1-100-2-200-211000110000-2-2-21-2-2-21-211-21-21-21111-2111-2-211110022002-1-1000-1-10000
χ65222-1222-12-1-12-12-12-1-1-1-1-2-111-2-21111002200-2-1-1000110000-2-2-21-2-2-21-211-21-21-2111121-1-122-1-1-1-100-2-200211000-1-10000
χ66222-1222-12-1-12-12-12-1-1-1-1-2-111-2-2111100-2-200211000-1-10000-2-2-21-2-2-21-211-21-21-2111121-1-122-1-1-1-1002200-2-1-1000110000
χ67222-12-2-2-12-1-12-1-21-2111-1013−30033−3−3002-2000-110003−30000-2-2-21-2221-211-212-12-1-1-110-1−3300−3−33300-220001-1000−330000
χ68222-12-2-2-12-1-12-1-21-2111-1013−30033−3−300-220001-1000−330000-2-2-21-2221-211-212-12-1-1-110-1−3300−3−333002-2000-110003−30000
χ69222-12-2-2-12-1-12-1-21-2111-101−3300−3−333002-2000-11000−330000-2-2-21-2221-211-212-12-1-1-110-13−30033−3−300-220001-10003−30000
χ70222-12-2-2-12-1-12-1-21-2111-101−3300−3−33300-220001-10003−30000-2-2-21-2221-211-212-12-1-1-110-13−30033−3−3002-2000-11000−330000
χ7122-2222-2222-2-22-22222-2-20-2000000002-20002000-200000000-2-22-2-2-22-2-2-222-22-2-2-2-2220200000000-22000-2000200000000
χ7222-2222-2222-2-22-22222-2-20-200000000-22000-2000200000000-2-22-2-2-22-2-2-222-22-2-2-2-22202000000002-20002000-200000000
χ7322-222-22222-2-222-2-2-2-22-20200000000000000000000002-200-2-22-2-22-2-2-2-222-2-22222-220-20000000000000000000000-2200
χ7422-222-22222-2-222-2-2-2-22-2020000000000000000000000-2200-2-22-2-22-2-2-2-222-2-22222-220-200000000000000000000002-200
χ7522-22-12-22-1-1-21-112-1-1-1-210100−i3i3−i3i3−i3i32-2000-10001−i3i3000000-2-22-21-22-2112-11-1-21112-10-100i3−i3i3−i3i3−i3-220001000-1i3−i3000000
χ7622-22-12-22-1-1-21-112-1-1-1-210100−i3i3−i3i3−i3i3-220001000-1i3−i3000000-2-22-21-22-2112-11-1-21112-10-100i3−i3i3−i3i3−i32-2000-10001−i3i3000000
χ7722-22-12-22-1-1-21-112-1-1-1-210100i3−i3i3−i3i3−i32-2000-10001i3−i3000000-2-22-21-22-2112-11-1-21112-10-100−i3i3−i3i3−i3i3-220001000-1−i3i3000000
χ7822-22-12-22-1-1-21-112-1-1-1-210100i3−i3i3−i3i3−i3-220001000-1−i3i3000000-2-22-21-22-2112-11-1-21112-10-100−i3i3−i3i3−i3i32-2000-10001i3−i3000000
χ794444-2-4-44-2-24-2-22-4222-4-20200000000000000000000000000-4-4-4-4244-422-422-24-2-2-2420-200000000000000000000000000
χ80444-2-244-2-21-2-21-2-2-211-2141-2-2-2-21111000000000000000000-4-4-422-4-422-122-1222-1-12-1-4-12222-1-1-1-1000000000000000000
χ81444-2-244-2-21-2-21-2-2-211-21-412222-1-1-1-1000000000000000000-4-4-422-4-422-122-1222-1-12-14-1-2-2-2-21111000000000000000000
χ82444-2-2-4-4-2-21-2-21222-1-1210-123−2300−3−333000000000000000000-4-4-4224422-122-1-2-2-211-2-101−23230033−3−3000000000000000000
χ83444-2-2-4-4-2-21-2-21222-1-1210-1−23230033−3−3000000000000000000-4-4-4224422-122-1-2-2-211-2-10123−2300−3−333000000000000000000
χ8444-44-2-444-2-2-42-2-2-4222420-200000000000000000000000000-4-44-424-4-4224-2224-2-2-2-4-20200000000000000000000000000
χ8544-4-244-4-24-22-4-2-4-24-2-2220200000000000000000000000000-4-442-4-442-42-24242-422-2-20-200000000000000000000000000
χ8644-4-24-44-24-22-4-242-422-220-200000000000000000000000000-4-442-44-42-42-242-4-24-2-22-20200000000000000000000000000
χ8744-4-2-24-4-2-212212-2-2112-10-100−2i32i3i3−i3i3−i3000000000000000000-4-4422-4422-1-2-2-1-222-1-1-2101002i3−2i3−i3i3−i3i3000000000000000000
χ8844-4-2-24-4-2-212212-2-2112-10-1002i3−2i3−i3i3−i3i3000000000000000000-4-4422-4422-1-2-2-1-222-1-1-210100−2i32i3i3−i3i3−i3000000000000000000
χ8944-4-2-2-44-2-21221-222-1-1-2-10100003i−3i−3i3i000000000000000000-4-44224-422-1-2-2-12-2-211210-10000−3i3i3i−3i000000000000000000
χ9044-4-2-2-44-2-21221-222-1-1-2-1010000−3i3i3i−3i000000000000000000-4-44224-422-1-2-2-12-2-211210-100003i−3i−3i3i000000000000000000
χ914-404400-4-4400-40000000000000000000000000000000002-2-440-4-40044-4004000000000000000000000000000000000-22
χ924-404400-4-4400-4000000000000000000000000000000000-22-440-4-40044-40040000000000000000000000000000000002-2
χ938-808-400-84-400400000000000000000000000000000000000-880-84008-4400-400000000000000000000000000000000000
χ948-80-48004-8-400400000000000000000000000000000000000-8804-800-48400-400000000000000000000000000000000000
χ958-80-4-40044200-20006i−6i000000000000000000000000000000-8804400-4-4-2002000−6i6i000000000000000000000000000000
χ968-80-4-40044200-2000−6i6i000000000000000000000000000000-8804400-4-4-20020006i−6i000000000000000000000000000000

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