Finite Group Databasebeta

← Group #11867885

Character table — Group #11867885

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96
size112222222444444444488888888888121212121818242424242424242424243672112222222444444444488888888888121212121818242424242424242424243672
order1223344663666121212121212681224242424242424242488882466612121224248822266446666661212121212126812242424242424242424888824666121212242488
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111-1-1-1-11-11111-1-1-1-1-1-111111111111111111111111111111111-1-1-1-11-11111-1-1-1-1-1-1
χ3111111111111111111111111111111-1-111-1-1-11-1-1-1-11111-1-1111111111111111111111111111111-1-111-1-1-11-1-1-1-11111-1-1
χ4111111111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-111111111111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-111
χ511111111111111111111-11-1-1-1-1-1-1-1-1111111-1-11-1-11-1-1111-111111111111111111111-11-1-1-1-1-1-1-1-1111111-1-11-1-11-1-1111-1
χ611111111111111111111-11-1-1-1-1-1-1-1-111-1-1-1-1-111-1-1111-1-1-1111111111111111111111-11-1-1-1-1-1-1-1-111-1-1-1-1-111-1-1111-1-1-11
χ711111111111111111111-11-1-1-1-1-1-1-1-1-1-111-1-11-1-111-1-1-111-1111111111111111111111-11-1-1-1-1-1-1-1-1-1-111-1-11-1-111-1-1-111-11
χ811111111111111111111-11-1-1-1-1-1-1-1-1-1-1-1-11111-111-111-1-11-111111111111111111111-11-1-1-1-1-1-1-1-1-1-1-1-11111-111-111-1-11-1
χ922222-2-2222222-2-2-2-2-2-220-200000000002i−2i00000000002i−2i0022222-2-2222222-2-2-2-2-2-220-200000000002i−2i00000000002i−2i00
χ1022222-2-2222222-2-2-2-2-2-220-20000000000−2i2i0000000000−2i2i0022222-2-2222222-2-2-2-2-2-220-20000000000−2i2i0000000000−2i2i00
χ112222-122-12-12-1-1-1-12-1-12-12-122-1-1-1-1-1-122000020-1-1-1-10000002222-122-12-12-1-1-1-12-1-12-12-122-1-1-1-1-1-122000020-1-1-1-1000000
χ122222-122-12-12-1-1-1-12-1-12-12-122-1-1-1-1-1-1-2-20000-2011110000002222-122-12-12-1-1-1-12-1-12-12-122-1-1-1-1-1-1-2-20000-201111000000
χ132222-122-12-12-1-1-1-12-1-12-1-2-1-2-2111111220000-20-111-10000002222-122-12-12-1-1-1-12-1-12-1-2-1-2-2111111220000-20-111-1000000
χ142222-122-12-12-1-1-1-12-1-12-1-2-1-2-2111111-2-20000201-1-110000002222-122-12-12-1-1-1-12-1-12-1-2-1-2-2111111-2-20000201-1-11000000
χ15222-12222-1-1-12-122-1-1-1-1-12-1-1-122-1-1-1-1002200020000-1-1-1-100222-12222-1-1-12-122-1-1-1-1-12-1-1-122-1-1-1-1002200020000-1-1-1-100
χ16222-12222-1-1-12-122-1-1-1-1-12-1-1-122-1-1-1-100-2-2000-20000111100222-12222-1-1-12-122-1-1-1-1-12-1-1-122-1-1-1-100-2-2000-20000111100
χ17222-12222-1-1-12-122-1-1-1-1-1-2-111-2-211110022000-2000011-1-100222-12222-1-1-12-122-1-1-1-1-1-2-111-2-211110022000-2000011-1-100
χ18222-12222-1-1-12-122-1-1-1-1-1-2-111-2-2111100-2-200020000-1-11100222-12222-1-1-12-122-1-1-1-1-1-2-111-2-2111100-2-200020000-1-11100
χ19222-12-2-22-1-1-12-1-2-21111-1013−30033−3−3002i−2i00000000−i3i3−ii00222-12-2-22-1-1-12-1-2-21111-1013−30033−3−3002i−2i00000000−i3i3−ii00
χ20222-12-2-22-1-1-12-1-2-21111-1013−30033−3−300−2i2i00000000i3−i3i−i00222-12-2-22-1-1-12-1-2-21111-1013−30033−3−300−2i2i00000000i3−i3i−i00
χ21222-12-2-22-1-1-12-1-2-21111-101−3300−3−333002i−2i00000000i3−i3−ii00222-12-2-22-1-1-12-1-2-21111-101−3300−3−333002i−2i00000000i3−i3−ii00
χ22222-12-2-22-1-1-12-1-2-21111-101−3300−3−33300−2i2i00000000−i3i3i−i00222-12-2-22-1-1-12-1-2-21111-101−3300−3−33300−2i2i00000000−i3i3i−i00
χ2322-2222-2222-2-22-22222-2-20-2000000002-2000000200-200000022-2222-2222-2-22-22222-2-20-2000000002-2000000200-2000000
χ2422-2222-2222-2-22-22222-2-20-200000000-22000000-200200000022-2222-2222-2-22-22222-2-20-200000000-22000000-2002000000
χ2522-222-22222-2-222-2-2-2-22-202000000000000220000000000-2022-222-22222-2-222-2-2-2-22-202000000000000220000000000-20
χ2622-222-22222-2-222-2-2-2-22-202000000000000-2-200000000002022-222-22222-2-222-2-2-2-22-202000000000000-2-2000000000020
χ2722-22-12-2-12-1-21-11-12-1-1-210100−i3i3−i3i3−i3i32-2000000-1−i3i3100000022-22-12-2-12-1-21-11-12-1-1-210100−i3i3−i3i3−i3i32-2000000-1−i3i31000000
χ2822-22-12-2-12-1-21-11-12-1-1-210100−i3i3−i3i3−i3i3-220000001i3−i3-100000022-22-12-2-12-1-21-11-12-1-1-210100−i3i3−i3i3−i3i3-220000001i3−i3-1000000
χ2922-22-12-2-12-1-21-11-12-1-1-210100i3−i3i3−i3i3−i32-2000000-1i3−i3100000022-22-12-2-12-1-21-11-12-1-1-210100i3−i3i3−i3i3−i32-2000000-1i3−i31000000
χ3022-22-12-2-12-1-21-11-12-1-1-210100i3−i3i3−i3i3−i3-220000001−i3i3-100000022-22-12-2-12-1-21-11-12-1-1-210100i3−i3i3−i3i3−i3-220000001−i3i3-1000000
χ314444-2-4-4-24-24-2-222-422-4-202000000000000000000000000004444-2-4-4-24-24-2-222-422-4-20200000000000000000000000000
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
χ3644-44-2-44-24-2-42-2-22-422420-20000000000000000000000000044-44-2-44-24-2-42-2-22-422420-200000000000000000000000000
χ3744-4-244-44-2-22-4-2-44-2-2-222020000000000000000000000000044-4-244-44-2-22-4-2-44-2-2-2220200000000000000000000000000
χ3844-4-24-444-2-22-4-24-4222-220-20000000000000000000000000044-4-24-444-2-22-4-24-4222-220-200000000000000000000000000
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
χ434-404400-4-4400-4000000000000000000000−2i22i20000000000004-404400-4-4400-4000000000000000000000−2i22i2000000000000
χ444-404400-4-4400-40000000000000000000002i2−2i20000000000004-404400-4-4400-40000000000000000000002i2−2i2000000000000
χ458-808-4004-8-4004000000000000000000000000000000000008-808-4004-8-400400000000000000000000000000000000000
χ468-80-4800-84-4004000000000000000000000000000000000008-80-4800-84-400400000000000000000000000000000000000
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
χ5011111111111111111111111111111111-1-1-1-11-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-11-1-1-1-1111111
χ51111111111111111111111111111111-1-111-1-1-11-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1111-11111-1-1-1-111
χ52111111111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111111111-1-1
χ5311111111111111111111-11-1-1-1-1-1-1-1-1111111-1-11-1-11-1-1111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-111111111-1-1-1-1-1-111-111-111-1-1-11
χ5411111111111111111111-11-1-1-1-1-1-1-1-111-1-1-1-1-111-1-1111-1-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-111111111-1-111111-1-111-1-1-1111-1
χ5511111111111111111111-11-1-1-1-1-1-1-1-1-1-111-1-11-1-111-1-1-111-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11111111111-1-111-111-1-1111-1-11-1
χ5611111111111111111111-11-1-1-1-1-1-1-1-1-1-1-1-11111-111-111-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1111111111111-1-1-1-11-1-11-1-111-11
χ5722222-2-2222222-2-2-2-2-2-220-200000000002i−2i00000000002i−2i00-2-2-2-2-222-2-2-2-2-2-2222222-2020000000000−2i2i0000000000−2i2i00
χ5822222-2-2222222-2-2-2-2-2-220-20000000000−2i2i0000000000−2i2i00-2-2-2-2-222-2-2-2-2-2-2222222-20200000000002i−2i00000000002i−2i00
χ592222-122-12-12-1-1-1-12-1-12-12-122-1-1-1-1-1-122000020-1-1-1-1000000-2-2-2-21-2-21-21-21111-211-21-21-2-2111111-2-20000-201111000000
χ602222-122-12-12-1-1-1-12-1-12-12-122-1-1-1-1-1-1-2-20000-201111000000-2-2-2-21-2-21-21-21111-211-21-21-2-211111122000020-1-1-1-1000000
χ612222-122-12-12-1-1-1-12-1-12-1-2-1-2-2111111220000-20-111-1000000-2-2-2-21-2-21-21-21111-211-212122-1-1-1-1-1-1-2-20000201-1-11000000
χ622222-122-12-12-1-1-1-12-1-12-1-2-1-2-2111111-2-20000201-1-11000000-2-2-2-21-2-21-21-21111-211-212122-1-1-1-1-1-1220000-20-111-1000000
χ63222-12222-1-1-12-122-1-1-1-1-12-1-1-122-1-1-1-1002200020000-1-1-1-100-2-2-21-2-2-2-2111-21-2-211111-2111-2-2111100-2-2000-20000111100
χ64222-12222-1-1-12-122-1-1-1-1-12-1-1-122-1-1-1-100-2-2000-20000111100-2-2-21-2-2-2-2111-21-2-211111-2111-2-21111002200020000-1-1-1-100
χ65222-12222-1-1-12-122-1-1-1-1-1-2-111-2-211110022000-2000011-1-100-2-2-21-2-2-2-2111-21-2-21111121-1-122-1-1-1-100-2-200020000-1-11100
χ66222-12222-1-1-12-122-1-1-1-1-1-2-111-2-2111100-2-200020000-1-11100-2-2-21-2-2-2-2111-21-2-21111121-1-122-1-1-1-10022000-2000011-1-100
χ67222-12-2-22-1-1-12-1-2-21111-1013−30033−3−3002i−2i00000000−i3i3−ii00-2-2-21-222-2111-2122-1-1-1-110-1−3300−3−33300−2i2i00000000i3−i3i−i00
χ68222-12-2-22-1-1-12-1-2-21111-1013−30033−3−300−2i2i00000000i3−i3i−i00-2-2-21-222-2111-2122-1-1-1-110-1−3300−3−333002i−2i00000000−i3i3−ii00
χ69222-12-2-22-1-1-12-1-2-21111-101−3300−3−333002i−2i00000000i3−i3−ii00-2-2-21-222-2111-2122-1-1-1-110-13−30033−3−300−2i2i00000000−i3i3i−i00
χ70222-12-2-22-1-1-12-1-2-21111-101−3300−3−33300−2i2i00000000−i3i3i−i00-2-2-21-222-2111-2122-1-1-1-110-13−30033−3−3002i−2i00000000i3−i3−ii00
χ7122-2222-2222-2-22-22222-2-20-2000000002-2000000200-2000000-2-22-2-2-22-2-2-222-22-2-2-2-2220200000000-22000000-2002000000
χ7222-2222-2222-2-22-22222-2-20-200000000-22000000-2002000000-2-22-2-2-22-2-2-222-22-2-2-2-22202000000002-2000000200-2000000
χ7322-222-22222-2-222-2-2-2-22-202000000000000220000000000-20-2-22-2-22-2-2-2-222-2-22222-220-2000000000000-2-2000000000020
χ7422-222-22222-2-222-2-2-2-22-202000000000000-2-2000000000020-2-22-2-22-2-2-2-222-2-22222-220-2000000000000220000000000-20
χ7522-22-12-2-12-1-21-11-12-1-1-210100−i3i3−i3i3−i3i32-2000000-1−i3i31000000-2-22-21-221-212-11-11-2112-10-100i3−i3i3−i3i3−i3-220000001i3−i3-1000000
χ7622-22-12-2-12-1-21-11-12-1-1-210100−i3i3−i3i3−i3i3-220000001i3−i3-1000000-2-22-21-221-212-11-11-2112-10-100i3−i3i3−i3i3−i32-2000000-1−i3i31000000
χ7722-22-12-2-12-1-21-11-12-1-1-210100i3−i3i3−i3i3−i32-2000000-1i3−i31000000-2-22-21-221-212-11-11-2112-10-100−i3i3−i3i3−i3i3-220000001−i3i3-1000000
χ7822-22-12-2-12-1-21-11-12-1-1-210100i3−i3i3−i3i3−i3-220000001−i3i3-1000000-2-22-21-221-212-11-11-2112-10-100−i3i3−i3i3−i3i32-2000000-1i3−i31000000
χ794444-2-4-4-24-24-2-222-422-4-20200000000000000000000000000-4-4-4-42442-42-422-2-24-2-2420-200000000000000000000000000
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
χ8444-44-2-44-24-2-42-2-22-422420-200000000000000000000000000-4-44-424-42-424-222-24-2-2-4-20200000000000000000000000000
χ8544-4-244-44-2-22-4-2-44-2-2-2220200000000000000000000000000-4-442-4-44-422-2424-4222-2-20-200000000000000000000000000
χ8644-4-24-444-2-22-4-24-4222-220-200000000000000000000000000-4-442-44-4-422-242-44-2-2-22-20200000000000000000000000000
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
χ914-404400-4-4400-4000000000000000000000−2i22i2000000000000-440-4-40044-40040000000000000000000002i2−2i2000000000000
χ924-404400-4-4400-40000000000000000000002i2−2i2000000000000-440-4-40044-4004000000000000000000000−2i22i2000000000000
χ938-808-4004-8-400400000000000000000000000000000000000-880-8400-48400-400000000000000000000000000000000000
χ948-80-4800-84-400400000000000000000000000000000000000-8804-8008-4400-400000000000000000000000000000000000
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).