Finite Group Databasebeta

← Group #11867891

Character table — Group #11867891

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96
size112222222444444444488888888888121212121818242424242424242424243672112222222444444444488888888888121212121818242424242424242424243672
order1223344663666121212121212681224242424242424242488882466612121224248822266446666661212121212126812242424242424242424888824666121212242488
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111-1-1-1-1-111-1-1111-1-1-1-111111111111111111111111111111111-1-1-1-1-111-1-1111-1-1-1-1
χ3111111111111111111111111111111-1-111-1-11-1-111-1-1-111-1-1111111111111111111111111111111-1-111-1-11-1-111-1-1-111-1-1
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
χ611111111111111111111-11-1-1-1-1-1-1-1-111-1-1-1-11-11111-1-1-1-1-1111111111111111111111-11-1-1-1-1-1-1-1-111-1-1-1-11-11111-1-1-1-1-11
χ711111111111111111111-11-1-1-1-1-1-1-1-1-1-111-1-1-11-1-1-1-11111-1111111111111111111111-11-1-1-1-1-1-1-1-1-1-111-1-1-11-1-1-1-11111-11
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
χ112222-122-12-12-1-12-12-1-1-1-12-122-1-1-1-1-1-1002200200-1-1000-1-1002222-122-12-12-1-12-12-1-1-1-12-122-1-1-1-1-1-1002200200-1-1000-1-100
χ122222-122-12-12-1-12-12-1-1-1-12-122-1-1-1-1-1-100-2-200-2001100011002222-122-12-12-1-12-12-1-1-1-12-122-1-1-1-1-1-100-2-200-200110001100
χ132222-122-12-12-1-12-12-1-1-1-1-2-1-2-2111111002200-20011000-1-1002222-122-12-12-1-12-12-1-1-1-1-2-1-2-2111111002200-20011000-1-100
χ142222-122-12-12-1-12-12-1-1-1-1-2-1-2-211111100-2-200200-1-100011002222-122-12-12-1-12-12-1-1-1-1-2-1-2-211111100-2-200200-1-10001100
χ152222-1-2-2-12-12-1-1-21-2111-10100333−3−3−3002i−2i00000−i3i3000−ii002222-1-2-2-12-12-1-1-21-2111-10100333−3−3−3002i−2i00000−i3i3000−ii00
χ162222-1-2-2-12-12-1-1-21-2111-10100333−3−3−300−2i2i00000i3−i3000i−i002222-1-2-2-12-12-1-1-21-2111-10100333−3−3−300−2i2i00000i3−i3000i−i00
χ172222-1-2-2-12-12-1-1-21-2111-10100−3−3−3333002i−2i00000i3−i3000−ii002222-1-2-2-12-12-1-1-21-2111-10100−3−3−3333002i−2i00000i3−i3000−ii00
χ182222-1-2-2-12-12-1-1-21-2111-10100−3−3−333300−2i2i00000−i3i3000i−i002222-1-2-2-12-12-1-1-21-2111-10100−3−3−333300−2i2i00000−i3i3000i−i00
χ19222-12222-1-1-12-1-12-1-1-12-12-1-1-12-1-12-1-122000002-100-1-1-10000222-12222-1-1-12-1-12-1-1-12-12-1-1-12-1-12-1-122000002-100-1-1-10000
χ20222-12222-1-1-12-1-12-1-1-12-12-1-1-12-1-12-1-1-2-200000-21001110000222-12222-1-1-12-1-12-1-1-12-12-1-1-12-1-12-1-1-2-200000-21001110000
χ21222-12222-1-1-12-1-12-1-1-12-1-2-111-211-2112200000-2-100-1110000222-12222-1-1-12-1-12-1-1-12-1-2-111-211-2112200000-2-100-1110000
χ22222-12222-1-1-12-1-12-1-1-12-1-2-111-211-211-2-20000021001-1-10000222-12222-1-1-12-1-12-1-1-12-1-2-111-211-211-2-20000021001-1-10000
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
χ2722-2-122-22-1-11-2-112-1-1-1-2101−i3i30−i3i30−i3i32-2000000-1001−i3i3000022-2-122-22-1-11-2-112-1-1-1-2101−i3i30−i3i30−i3i32-2000000-1001−i3i30000
χ2822-2-122-22-1-11-2-112-1-1-1-2101−i3i30−i3i30−i3i3-22000000100-1i3−i3000022-2-122-22-1-11-2-112-1-1-1-2101−i3i30−i3i30−i3i3-22000000100-1i3−i30000
χ2922-2-122-22-1-11-2-112-1-1-1-2101i3−i30i3−i30i3−i32-2000000-1001i3−i3000022-2-122-22-1-11-2-112-1-1-1-2101i3−i30i3−i30i3−i32-2000000-1001i3−i30000
χ3022-2-122-22-1-11-2-112-1-1-1-2101i3−i30i3−i30i3−i3-22000000100-1−i3i3000022-2-122-22-1-11-2-112-1-1-1-2101i3−i30i3−i30i3−i3-22000000100-1−i3i30000
χ31444-24-4-44-2-2-24-22-4222-4-20200000000000000000000000000444-24-4-44-2-2-24-22-4222-4-20200000000000000000000000000
χ32444-2-244-2-21-2-21-2-2-211-2141-2-2-211-211000000000000000000444-2-244-2-21-2-21-2-2-211-2141-2-2-211-211000000000000000000
χ33444-2-244-2-21-2-21-2-2-211-21-41222-1-12-1-1000000000000000000444-2-244-2-21-2-21-2-2-211-21-41222-1-12-1-1000000000000000000
χ34444-2-2-4-4-2-21-2-21222-1-1210-10023−3−3−2333000000000000000000444-2-2-4-4-2-21-2-21222-1-1210-10023−3−3−2333000000000000000000
χ35444-2-2-4-4-2-21-2-21222-1-1210-100−233323−3−3000000000000000000444-2-2-4-4-2-21-2-21222-1-1210-100−233323−3−3000000000000000000
χ3644-44-24-4-24-2-42-2-4-24-2-222020000000000000000000000000044-44-24-4-24-2-42-2-4-24-2-2220200000000000000000000000000
χ3744-44-2-44-24-2-42-242-422-220-20000000000000000000000000044-44-2-44-24-2-42-242-422-220-200000000000000000000000000
χ3844-4-24-444-2-22-4-2-2-4222420-20000000000000000000000000044-4-24-444-2-22-4-2-2-4222420-200000000000000000000000000
χ3944-4-2-24-4-2-212212-2-2112-10-1−2i32i30i3−i30i3−i300000000000000000044-4-2-24-4-2-212212-2-2112-10-1−2i32i30i3−i30i3−i3000000000000000000
χ4044-4-2-24-4-2-212212-2-2112-10-12i3−2i30−i3i30−i3i300000000000000000044-4-2-24-4-2-212212-2-2112-10-12i3−2i30−i3i30−i3i3000000000000000000
χ4144-4-2-2-44-2-21221-222-1-1-2-1010003i−3i0−3i3i00000000000000000044-4-2-2-44-2-21221-222-1-1-2-1010003i−3i0−3i3i000000000000000000
χ4244-4-2-2-44-2-21221-222-1-1-2-101000−3i3i03i−3i00000000000000000044-4-2-2-44-2-21221-222-1-1-2-101000−3i3i03i−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
χ5011111111111111111111111111111111-1-1-1-1-111-1-1111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-111-1-1-11111
χ51111111111111111111111111111111-1-111-1-11-1-111-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-111-1-1111-1-111
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
χ5411111111111111111111-11-1-1-1-1-1-1-1-111-1-1-1-11-11111-1-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-111111111-1-11111-11-1-1-1-111111-1
χ5511111111111111111111-11-1-1-1-1-1-1-1-1-1-111-1-1-11-1-1-1-11111-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11111111111-1-1111-11111-1-1-1-11-1
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
χ592222-122-12-12-1-12-12-1-1-1-12-122-1-1-1-1-1-1002200200-1-1000-1-100-2-2-2-21-2-21-21-211-21-21111-21-2-211111100-2-200-200110001100
χ602222-122-12-12-1-12-12-1-1-1-12-122-1-1-1-1-1-100-2-200-200110001100-2-2-2-21-2-21-21-211-21-21111-21-2-2111111002200200-1-1000-1-100
χ612222-122-12-12-1-12-12-1-1-1-1-2-1-2-2111111002200-20011000-1-100-2-2-2-21-2-21-21-211-21-211112122-1-1-1-1-1-100-2-200200-1-10001100
χ622222-122-12-12-1-12-12-1-1-1-1-2-1-2-211111100-2-200200-1-10001100-2-2-2-21-2-21-21-211-21-211112122-1-1-1-1-1-1002200-20011000-1-100
χ632222-1-2-2-12-12-1-1-21-2111-10100333−3−3−3002i−2i00000−i3i3000−ii00-2-2-2-21221-21-2112-12-1-1-110-100−3−3−333300−2i2i00000i3−i3000i−i00
χ642222-1-2-2-12-12-1-1-21-2111-10100333−3−3−300−2i2i00000i3−i3000i−i00-2-2-2-21221-21-2112-12-1-1-110-100−3−3−3333002i−2i00000−i3i3000−ii00
χ652222-1-2-2-12-12-1-1-21-2111-10100−3−3−3333002i−2i00000i3−i3000−ii00-2-2-2-21221-21-2112-12-1-1-110-100333−3−3−300−2i2i00000−i3i3000i−i00
χ662222-1-2-2-12-12-1-1-21-2111-10100−3−3−333300−2i2i00000−i3i3000i−i00-2-2-2-21221-21-2112-12-1-1-110-100333−3−3−3002i−2i00000i3−i3000−ii00
χ67222-12222-1-1-12-1-12-1-1-12-12-1-1-12-1-12-1-122000002-100-1-1-10000-2-2-21-2-2-2-2111-211-2111-21-2111-211-211-2-200000-21001110000
χ68222-12222-1-1-12-1-12-1-1-12-12-1-1-12-1-12-1-1-2-200000-21001110000-2-2-21-2-2-2-2111-211-2111-21-2111-211-21122000002-100-1-1-10000
χ69222-12222-1-1-12-1-12-1-1-12-1-2-111-211-2112200000-2-100-1110000-2-2-21-2-2-2-2111-211-2111-2121-1-12-1-12-1-1-2-20000021001-1-10000
χ70222-12222-1-1-12-1-12-1-1-12-1-2-111-211-211-2-20000021001-1-10000-2-2-21-2-2-2-2111-211-2111-2121-1-12-1-12-1-12200000-2-100-1110000
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
χ7522-2-122-22-1-11-2-112-1-1-1-2101−i3i30−i3i30−i3i32-2000000-1001−i3i30000-2-221-2-22-211-121-1-21112-10-1i3−i30i3−i30i3−i3-22000000100-1i3−i30000
χ7622-2-122-22-1-11-2-112-1-1-1-2101−i3i30−i3i30−i3i3-22000000100-1i3−i30000-2-221-2-22-211-121-1-21112-10-1i3−i30i3−i30i3−i32-2000000-1001−i3i30000
χ7722-2-122-22-1-11-2-112-1-1-1-2101i3−i30i3−i30i3−i32-2000000-1001i3−i30000-2-221-2-22-211-121-1-21112-10-1−i3i30−i3i30−i3i3-22000000100-1−i3i30000
χ7822-2-122-22-1-11-2-112-1-1-1-2101i3−i30i3−i30i3−i3-22000000100-1−i3i30000-2-221-2-22-211-121-1-21112-10-1−i3i30−i3i30−i3i32-2000000-1001i3−i30000
χ79444-24-4-44-2-2-24-22-4222-4-20200000000000000000000000000-4-4-42-444-4222-42-24-2-2-2420-200000000000000000000000000
χ80444-2-244-2-21-2-21-2-2-211-2141-2-2-211-211000000000000000000-4-4-422-4-422-122-1222-1-12-1-4-1222-1-12-1-1000000000000000000
χ81444-2-244-2-21-2-21-2-2-211-21-41222-1-12-1-1000000000000000000-4-4-422-4-422-122-1222-1-12-14-1-2-2-211-211000000000000000000
χ82444-2-2-4-4-2-21-2-21222-1-1210-10023−3−3−2333000000000000000000-4-4-4224422-122-1-2-2-211-2-10100−233323−3−3000000000000000000
χ83444-2-2-4-4-2-21-2-21222-1-1210-100−233323−3−3000000000000000000-4-4-4224422-122-1-2-2-211-2-1010023−3−3−2333000000000000000000
χ8444-44-24-4-24-2-42-2-4-24-2-2220200000000000000000000000000-4-44-42-442-424-2242-422-2-20-200000000000000000000000000
χ8544-44-2-44-24-2-42-242-422-220-200000000000000000000000000-4-44-424-42-424-22-4-24-2-22-20200000000000000000000000000
χ8644-4-24-444-2-22-4-2-2-4222420-200000000000000000000000000-4-442-44-4-422-24224-2-2-2-4-20200000000000000000000000000
χ8744-4-2-24-4-2-212212-2-2112-10-1−2i32i30i3−i30i3−i3000000000000000000-4-4422-4422-1-2-2-1-222-1-1-21012i3−2i30−i3i30−i3i3000000000000000000
χ8844-4-2-24-4-2-212212-2-2112-10-12i3−2i30−i3i30−i3i3000000000000000000-4-4422-4422-1-2-2-1-222-1-1-2101−2i32i30i3−i30i3−i3000000000000000000
χ8944-4-2-2-44-2-21221-222-1-1-2-1010003i−3i0−3i3i000000000000000000-4-44224-422-1-2-2-12-2-211210-1000−3i3i03i−3i000000000000000000
χ9044-4-2-2-44-2-21221-222-1-1-2-101000−3i3i03i−3i000000000000000000-4-44224-422-1-2-2-12-2-211210-10003i−3i0−3i3i000000000000000000
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).