Finite Group Databasebeta

← Group #10849274

Character table — Group #10849274

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90
size11111111222222222222222244444444448888888888888888888888888888881212121212121212121212121212121216161616242424244848
order1222222234444444466666664412121212121212122244444488881212121212121212121224242424242424244444444488888888661212444444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1
χ3111111111111111111111111111111111111-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1
χ4111111111111111111111111111111111111-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-111
χ51111111111111111111111111111111111-1-11111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ61111111111111111111111111111111111-1-11111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-111-1-1-1-1
χ71111111111111111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1111111111111-1-1-1-111111111-1-1-1-1-1-111-1-1
χ81111111111111111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-111
χ91111111111-1-1-1-11111111111-1-1-1-1-1-111111111-1-1-1-111-1-1-1-11111-1-1-1-11111-1-1-1-111-1-1-1-1-1-11111-1-1-1-111-1-111-111-1
χ101111111111-1-1-1-11111111111-1-1-1-1-1-111111111-1-1-1-111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1111111-1-1-1-1111111-1-1-1-11-1-11
χ111111111111-1-1-1-11111111111-1-1-1-1-1-1111111-1-111-1-1-1-111-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1111111-1-111-11-11
χ121111111111-1-1-1-11111111111-1-1-1-1-1-1111111-1-111-1-1-1-111-1-1-1-1-1-11111-1-1-1-11111-1-11111111111-1-1-1-111-1-1-1-11-11-1
χ131111111111-1-1-1-11111111111-1-1-1-1-1-11111-1-111-1-111-1-111-1-11111-1-1-1-1-1-1-1-1111111-1-11111-1-1-1-11111-1-111-1-1-111-1
χ141111111111-1-1-1-11111111111-1-1-1-1-1-11111-1-111-1-111-1-111-1-11111-1-1-1-1-1-1-1-11111-1-111-1-1-1-11111-1-1-1-1-1-111111-1-11
χ151111111111-1-1-1-11111111111-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-111111111-1-1-1-111-1-111111111-1-1-1-1-1-111-1-1-11-11
χ161111111111-1-1-1-11111111111-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-111111-11-1
χ17222222222-22222-2-2-22222222-2-22222-2-2-2-2000000000000-2-200000000000000002222000000000000000000-2-200
χ18222222222-22222-2-2-22222222-2-22222-2-2-2-2000000000000-2-20000000000000000-2-2-2-20000000000000000002200
χ19222222222-2-2-2-2-2-2-2-2222222222-2-2-2-2-2-2-2-200000000000022000000000000000022-2-20000000000000000002-200
χ20222222222-2-2-2-2-2-2-2-2222222222-2-2-2-2-2-2-2-2000000000000220000000000000000-2-222000000000000000000-2200
χ2122222222-122222222-1-1-1-1-1-1-122-1-1-1-1-1-1-1-1222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000-1-1-1-1000000
χ2222222222-122222222-1-1-1-1-1-1-122-1-1-1-1-1-1-1-122-2-2-2-222-2-2-2-2-1-111111111111111110000000000000000-1-1-1-1000000
χ2322222222-122222222-1-1-1-1-1-1-122-1-1-1-1-1-1-1-1-2-22222-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-11111111100000000000000001111000000
χ2422222222-122222222-1-1-1-1-1-1-122-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-22222-1-111111111-1-1-1-1-1-1-1-100000000000000001111000000
χ2522222222-12-2-2-2-2222-1-1-1-1-1-1-1-2-21111-1-1-1-12222-2-2-2-222-2-211-1-1-1-11111-1-1-1-111110000000000000000-1-111000000
χ2622222222-12-2-2-2-2222-1-1-1-1-1-1-1-2-21111-1-1-1-122-2-222-2-2-2-222111111-1-1-1-11111-1-1-1-10000000000000000-1-111000000
χ2722222222-12-2-2-2-2222-1-1-1-1-1-1-1-2-21111-1-1-1-1-2-222-2-222-2-22211-1-1-1-111111111-1-1-1-1000000000000000011-1-1000000
χ2822222222-12-2-2-2-2222-1-1-1-1-1-1-1-2-21111-1-1-1-1-2-2-2-2222222-2-2111111-1-1-1-1-1-1-1-11111000000000000000011-1-1000000
χ2922-22-22-2-22-2000022-22-2-2-22-220000002-2-2200002-200000000000022-2-20000000000002i2i−2i−2i2i2i−2i−2i00000000000000
χ3022-22-22-2-22-2000022-22-2-2-22-220000002-2-2200002-200000000000022-2-2000000000000−2i−2i2i2i−2i−2i2i2i00000000000000
χ3122-22-22-2-22-2000022-22-2-2-22-220000002-2-220000-22000000000000-2-2220000000000002i2i−2i−2i−2i−2i2i2i00000000000000
χ3222-22-22-2-22-2000022-22-2-2-22-220000002-2-220000-22000000000000-2-222000000000000−2i−2i2i2i2i2i−2i−2i00000000000000
χ3322-2-22-2-22202i2i−2i−2i0002-22-2-22-2002i2i−2i−2i0000000000002−2−i2i2000000000022−2−2−i2−i2i2i22i−2i2-20000−i2i2−i2i222−2−20000000000
χ3422-2-22-2-22202i2i−2i−2i0002-22-2-22-2002i2i−2i−2i0000000000002−2−i2i2000000000022−2−2−i2−i2i2i2−2i2i-220000i2−i2i2−i2−2−2220000000000
χ3522-2-22-2-22202i2i−2i−2i0002-22-2-22-2002i2i−2i−2i000000000000−22i2−i20000000000−2−222i2i2−i2−i22i−2i2-20000i2−i2i2−i2−2−2220000000000
χ3622-2-22-2-22202i2i−2i−2i0002-22-2-22-2002i2i−2i−2i000000000000−22i2−i20000000000−2−222i2i2−i2−i2−2i2i-220000−i2i2−i2i222−2−20000000000
χ3722-2-22-2-2220−2i−2i2i2i0002-22-2-22-200−2i−2i2i2i0000000000002−2i2−i2000000000022−2−2i2i2−i2−i22i−2i-220000−i2i2−i2i2−2−2220000000000
χ3822-2-22-2-2220−2i−2i2i2i0002-22-2-22-200−2i−2i2i2i0000000000002−2i2−i2000000000022−2−2i2i2−i2−i2−2i2i2-20000i2−i2i2−i222−2−20000000000
χ3922-2-22-2-2220−2i−2i2i2i0002-22-2-22-200−2i−2i2i2i000000000000−22−i2i20000000000−2−222−i2−i2i2i22i−2i-220000i2−i2i2−i222−2−20000000000
χ4022-2-22-2-2220−2i−2i2i2i0002-22-2-22-200−2i−2i2i2i000000000000−22−i2i20000000000−2−222−i2−i2i2i2−2i2i2-20000−i2i2−i2i2−2−2220000000000
χ412-22-222-2-22-200002-22-22-2-2-222000000-22-22002-2000000000022-2-200000000000000002i−2i2i−2i00002i−2i2i−2i0000000000
χ422-22-222-2-22-200002-22-22-2-2-222000000-22-22002-2000000000022-2-20000000000000000−2i2i−2i2i0000−2i2i−2i2i0000000000
χ432-22-222-2-22-200002-22-22-2-2-222000000-22-2200-220000000000-2-22200000000000000002i−2i2i−2i0000−2i2i−2i2i0000000000
χ442-22-222-2-22-200002-22-22-2-2-222000000-22-2200-220000000000-2-2220000000000000000−2i2i−2i2i00002i−2i2i−2i0000000000
χ452-2-2-2-2222222-22-22-2-2-2-222-2-222-22-22-2-2-2220000000000002-2000000000000000000002-2-220000000000002-20000
χ462-2-2-2-2222222-22-22-2-2-2-222-2-222-22-22-2-2-2220000000000002-200000000000000000000-222-2000000000000-220000
χ472-2-2-2-222222-22-222-2-2-2-222-2-22-22-22-22-2-222000000000000-22000000000000000000002-2-22000000000000-220000
χ482-2-2-2-222222-22-222-2-2-2-222-2-22-22-22-22-2-222000000000000-2200000000000000000000-222-20000000000002-20000
χ492-2-2-2-22222-22-22-2-222-2-222-2-22-222-22-222-2-22-200002-20000-22000000000000000000000000000000002-22-2000000
χ502-2-2-2-22222-22-22-2-222-2-222-2-22-222-22-222-2-2-220000-220000-2200000000000000000000000000000000-22-22000000
χ512-2-2-2-22222-2-22-22-222-2-222-2-222-2-22-2222-2-22-20000-2200002-2000000000000000000000000000000002-2-22000000
χ522-2-2-2-22222-2-22-22-222-2-222-2-222-2-22-2222-2-2-2200002-200002-200000000000000000000000000000000-222-2000000
χ532-2-2-2-2222-1-22-22-2-22211-1-111-1-22-11-11-1-1112-200002-200001-13−33−33−33−33−33−33−33−30000000000000000-11-11000000
χ542-2-2-2-2222-1-22-22-2-22211-1-111-1-22-11-11-1-1112-200002-200001-1−33−33−33−33−33−33−33−330000000000000000-11-11000000
χ552-2-2-2-2222-1-22-22-2-22211-1-111-1-22-11-11-1-111-220000-2200001-13−33−33−33−3−33−33−33−3300000000000000001-11-1000000
χ562-2-2-2-2222-1-22-22-2-22211-1-111-1-22-11-11-1-111-220000-2200001-1−33−33−33−333−33−33−33−300000000000000001-11-1000000
χ572-2-2-2-2222-1-2-22-22-22211-1-111-12-21-11-1-1-1112-20000-220000-113−33−3−33−333−33−3−33−330000000000000000-111-1000000
χ582-2-2-2-2222-1-2-22-22-22211-1-111-12-21-11-1-1-1112-20000-220000-11−33−333−33−3−33−333−33−30000000000000000-111-1000000
χ592-2-2-2-2222-1-2-22-22-22211-1-111-12-21-11-1-1-111-2200002-20000-113−33−3−33−33−33−333−33−300000000000000001-1-11000000
χ602-2-2-2-2222-1-2-22-22-22211-1-111-12-21-11-1-1-111-2200002-20000-11−33−333−33−33−33−3−33−3300000000000000001-1-11000000
χ6144444444-2-44444-4-4-4-2-2-2-2-2-2-2-4-4-2-2-2-2222200000000000022000000000000000000000000000000000000000000
χ6244444444-2-4-4-4-4-4-4-4-4-2-2-2-2-2-2-24422222222000000000000-2-2000000000000000000000000000000000000000000
χ63444-4-4-44-440000000044-44-4-4-400000000000000000000000000000000000000000000000022−22−222200000000000000
χ64444-4-4-44-440000000044-44-4-4-4000000000000000000000000000000000000000000000000−222222−2200000000000000
χ6544-44-44-4-4440000-4-444-4-4-44-44000000-444-400000000000000000000000000000000000000000000000000000000
χ6644-44-44-4-4-240000-4-44-2222-22-20000002-2-220000000000000023−23−232300000000000000000000000000000000000000
χ6744-44-44-4-4-240000-4-44-2222-22-20000002-2-2200000000000000−232323−2300000000000000000000000000000000000000
χ6844-44-44-4-4-2-4000044-4-2222-22-2000000-222-200004-4000000000000-2-2220000000000000000000000000000000000
χ6944-44-44-4-4-2-4000044-4-2222-22-2000000-222-20000-4400000000000022-2-20000000000000000000000000000000000
χ7044-4-44-4-44-204i4i−4i−4i000-22-222-2200−2i−2i2i2i00000000000022−22−2i22i20000000000−2−222i2i2−i2−i200000000000000000000000000
χ7144-4-44-4-44-204i4i−4i−4i000-22-222-2200−2i−2i2i2i000000000000−22222i2−2i2000000000022−2−2−i2−i2i2i200000000000000000000000000
χ7244-4-44-4-44-20−4i−4i4i4i000-22-222-22002i2i−2i−2i00000000000022−222i2−2i20000000000−2−222−i2−i2i2i200000000000000000000000000
χ7344-4-44-4-44-20−4i−4i4i4i000-22-222-22002i2i−2i−2i000000000000−2222−2i22i2000000000022−2−2i2i2−i2−i200000000000000000000000000
χ744-444-4-4-44404i−4i−4i4i000-444-44-4-4004i−4i−4i4i000000000000000000000000000000000000000000000000000000000000
χ754-444-4-4-4440−4i4i4i−4i000-444-44-4-400−4i4i4i−4i000000000000000000000000000000000000000000000000000000000000
χ764-444-4-4-44-204i−4i−4i4i0002-2-22-22200−2i2i2i−2i000000000000000000000000006−6−66−i6i6i6−i600000000000000000000000000
χ774-444-4-4-44-204i−4i−4i4i0002-2-22-22200−2i2i2i−2i00000000000000000000000000−666−6i6−i6−i6i600000000000000000000000000
χ784-444-4-4-44-20−4i4i4i−4i0002-2-22-222002i−2i−2i2i000000000000000000000000006−6−66i6−i6−i6i600000000000000000000000000
χ794-444-4-4-44-20−4i4i4i−4i0002-2-22-222002i−2i−2i2i00000000000000000000000000−666−6−i6i6i6−i600000000000000000000000000
χ804-44-444-4-4440000-44-4-44-4-4-4440000004-44-400000000000000000000000000000000000000000000000000000000
χ814-44-444-4-4-240000-44-42-2222-2-2000000-22-2200000000000000000023−23−23230000000000000000000000000000000000
χ824-44-444-4-4-240000-44-42-2222-2-2000000-22-22000000000000000000−232323−230000000000000000000000000000000000
χ834-44-444-4-4-2-400004-442-2222-2-20000002-22-2004-40000000000-2-22200000000000000000000000000000000000000
χ844-44-444-4-4-2-400004-442-2222-2-20000002-22-200-44000000000022-2-200000000000000000000000000000000000000
χ854-4-444-44-4400000000-4-4-4444-40000000000000000000000000000000000000000000000000000−2i22i22i2−2i20000000000
χ864-4-444-44-4400000000-4-4-4444-400000000000000000000000000000000000000000000000000002i2−2i2−2i22i20000000000
χ874-4-4-4-4444-244-44-44-4-422-2-222-24-4-22-2222-2-2000000000000-22000000000000000000000000000000000000000000
χ884-4-4-4-4444-24-44-444-4-422-2-222-2-442-22-222-2-20000000000002-2000000000000000000000000000000000000000000
χ89888-8-8-88-8-400000000-4-44-4444000000000000000000000000000000000000000000000000000000000000000000
χ908-8-888-88-8-400000000444-4-4-44000000000000000000000000000000000000000000000000000000000000000000

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