Finite Group Databasebeta

← #11633787

Subgroups — #11633787

Order 768.

2598 conjugacy classes of subgroups.

The subgroup lattice has 1688 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#5706C211yesmaximal, characteristic, complemented
2C2×#5550C211yesmaximal, characteristic
3C3×#2468C211yesmaximal, characteristic, complemented
4#83109C211yesmaximal, characteristic, complemented
5#82339C211yesmaximal, characteristic, complemented
6#77947C211yesmaximal, characteristic, complemented
7#77848C211yesmaximal, characteristic, complemented
8#77764C211yesmaximal, characteristic, complemented
9#77750C211yesmaximal, characteristic, complemented
10#77140C211yesmaximal, characteristic, complemented
11#77119C211yesmaximal, characteristic, complemented
12#77111C211yesmaximal, characteristic, complemented
13#77111C211yesmaximal, characteristic, complemented
14#75890C211yesmaximal, characteristic, complemented
15#75863C211yesmaximal, characteristic, complemented
16#75839C211yesmaximal, characteristic, complemented
17#75833C211yesmaximal, characteristic, complemented
18D3×#388C211yesmaximal, characteristic, complemented
19#75539C211yesmaximal, characteristic, complemented
20#75360C211yesmaximal, characteristic, complemented
21#75010C211yesmaximal, characteristic, complemented
22#74600C211yesmaximal, characteristic, complemented
23#74599C211yesmaximal, characteristic, complemented
24#74433C211yesmaximal, characteristic, complemented
25#74419C211yesmaximal, characteristic, complemented
26#74138C211yesmaximal, characteristic, complemented
27#74121C211yesmaximal, characteristic, complemented
28#74007C211yesmaximal, characteristic, complemented
29#73960C211yesmaximal, characteristic, complemented
30#73796C211yesmaximal, characteristic, complemented
31C4×#894C211yesmaximal, characteristic, complemented
32#59032—31nomaximal, Sylow
33C22×#235C2211yescharacteristic
34C23×D12C2211yescharacteristic
35C2×C3×#126C2211yescharacteristic, complemented
36C2×C3×C4×D4C2211yescharacteristic
37C2×#937C2211yescharacteristic
38C2×#937C2211yescharacteristic
39C2×#935C2211yescharacteristic
40C2×#930C2211yescharacteristic
41C2×#924C2211yescharacteristic
42#5706—28no—
43#5550—28no—
44C2×#896C2211yescharacteristic, complemented
45C2×#894C2211yescharacteristic
46C2×#894C2211yescharacteristic
47C2×#894C2211yescharacteristic
48C2×#894C2211yescharacteristic
49C2×#893C2211yescharacteristic
50C2×#893C2211yescharacteristic
51C2×#892C2211yescharacteristic, complemented
52C2×D3×C4⋊C4C2211yescharacteristic, complemented
53C2×#889C2211yescharacteristic, complemented
54C2×#887C2211yescharacteristic, complemented
55C2×#885C2211yescharacteristic, complemented
56C2×#884C2211yescharacteristic
57C2×#884C2211yescharacteristic
58C2×#883C2211yescharacteristic, complemented
59C2×#67⋊C4C2211yescharacteristic, complemented
60C2×#67⋊C4C2211yescharacteristic, complemented
61C2×#67⋊C4C2211yescharacteristic, complemented
62C2×D3×C22⋊C4C2211yescharacteristic
63C2×D3×C22⋊C4C2211yescharacteristic
64C2×D3×C22⋊C4C2211yescharacteristic
65C2×D3×C22⋊C4C2211yescharacteristic
66C2×D3×C22⋊C4C2211yescharacteristic
67C2×#877C2211yescharacteristic, complemented
68C2×#876C2211yescharacteristic, complemented
69C2×#875C2211yescharacteristic
70C2×C4×D12C2211yescharacteristic
71C2×C42×D3C2211yescharacteristic, complemented
72C3×#398C2211yescharacteristic, complemented
73C3×#398C2211yescharacteristic, complemented
74C3×#394C2211yescharacteristic
75C3×#394C2211yescharacteristic
76C3×#388C2211yescharacteristic
77C3×#388C2211yescharacteristic
78C3×#388C2211yescharacteristic, complemented
79C3×#387C2211yescharacteristic, complemented
80C3×#385C2211yescharacteristic
81C3×#385C2211yescharacteristic, complemented
82C3×#381C2211yescharacteristic, complemented
83C3×#380C2211yescharacteristic
84C3×C4×C4⋊C4C2211yescharacteristic, complemented
85#5220C2211yescharacteristic
86#5210C2211yescharacteristic
87#5210C2211yescharacteristic, complemented
88C4×#217C2211yescharacteristic
89C2×C3⋊#95C2211yescharacteristic, complemented
90#4994C2211yescharacteristic, complemented
91#4993C2211yescharacteristic, complemented
92#4993C2211yescharacteristic, complemented
93#4992C2211yescharacteristic, complemented
94#4992C2211yescharacteristic, complemented
95#4991C2211yescharacteristic
96#4991C2211yescharacteristic
97#4990C2211yescharacteristic, complemented
98#4990C2211yescharacteristic, complemented
99#4990C2211yescharacteristic, complemented
100#4989C2211yescharacteristic, complemented
101#4989C2211yescharacteristic, complemented
102#4989C2211yescharacteristic, complemented
103#4989C2211yescharacteristic, complemented
104#4988C2211yescharacteristic
105#4988C2211yescharacteristic
106#4987C2211yescharacteristic, complemented
107#4985C2211yescharacteristic, complemented
108#4981C2211yescharacteristic, complemented
109#4980C2211yescharacteristic, complemented
110#4979C2211yescharacteristic, complemented
111#4978C2211yescharacteristic, complemented
112#4978C2211yescharacteristic, complemented
113#4976C2211yescharacteristic, complemented
114#4976C2211yescharacteristic, complemented
115#4961C2211yescharacteristic, complemented
116#4961C2211yescharacteristic, complemented
117#4959C2211yescharacteristic, complemented
118#4959C2211yescharacteristic, complemented
119#4958C2211yescharacteristic, complemented
120#4958C2211yescharacteristic, complemented
121#4958C2211yescharacteristic, complemented
122#4958C2211yescharacteristic, complemented
123#4958C2211yescharacteristic, complemented
124#4956C2211yescharacteristic, complemented
125#4956C2211yescharacteristic, complemented
126#4955C2211yescharacteristic
127#4955C2211yescharacteristic
128#4955C2211yescharacteristic
129#4955C2211yescharacteristic
130#4955C2211yescharacteristic
131#4952C2211yescharacteristic
132#4952C2211yescharacteristic
133#4951C2211yescharacteristic
134#4951C2211yescharacteristic
135#4948C2211yescharacteristic
136#4947C2211yescharacteristic
137#4945C2211yescharacteristic
138#4945C2211yescharacteristic
139#4945C2211yescharacteristic
140#4944C2211yescharacteristic
141Dic3×C22⋊C4C2211yescharacteristic, complemented
142#4940C2211yescharacteristic, complemented
143#4940C2211yescharacteristic, complemented
144C4×(C2×D3)⋊C4C2211yescharacteristic, complemented
145C4×(C2×D3)⋊C4C2211yescharacteristic, complemented
146C4×(C2×D3)⋊C4C2211yescharacteristic, complemented
147C4×(C2×D3)⋊C4C2211yescharacteristic, complemented
148#4933C2211yescharacteristic, complemented
149C4×Dic3⋊C4C2211yescharacteristic, complemented
150#4675C2211yescharacteristic, complemented
151#4674C2211yescharacteristic, complemented
152#4674C2211yescharacteristic, complemented
153#4673C2211yescharacteristic, complemented
154#4673C2211yescharacteristic, complemented
155#4672C2211yescharacteristic
156#4672C2211yescharacteristic
157#4670C2211yescharacteristic, complemented
158#4669C2211yescharacteristic, complemented
159#4669C2211yescharacteristic, complemented
160#4669C2211yescharacteristic, complemented
161#4669C2211yescharacteristic, complemented
162#4669C2211yescharacteristic, complemented
163#4668C2211yescharacteristic, complemented
164#4668C2211yescharacteristic, complemented
165#4667C2211yescharacteristic, complemented
166#4667C2211yescharacteristic, complemented
167#4667C2211yescharacteristic, complemented
168#4667C2211yescharacteristic, complemented
169#4666C2211yescharacteristic, complemented
170#4665C2211yescharacteristic
171#4665C2211yescharacteristic
172#4665C2211yescharacteristic
173#4665C2211yescharacteristic
174#4665C2211yescharacteristic
175#4665C2211yescharacteristic
176#4664C2211yescharacteristic, complemented
177#4664C2211yescharacteristic, complemented
178#4664C2211yescharacteristic, complemented
179#4664C2211yescharacteristic, complemented
180D3×#95C2211yescharacteristic, complemented
181D3×#95C2211yescharacteristic, complemented
182#4660C2211yescharacteristic, complemented
183#4656C2211yescharacteristic, complemented
184#4656C2211yescharacteristic, complemented
185#4655C2211yescharacteristic, complemented
186#4653C2211yescharacteristic, complemented
187#4652C2211yescharacteristic, complemented
188#4646C2211yescharacteristic, complemented
189#4646C2211yescharacteristic, complemented
190C2×#546—31no—
191C2×#529—31no—
192#2694—31no—
193#2690—31no—
194#2686—31no—
195#2684—31no—
196#2564—31no—
197#2561—31no—
198#2559—31no—
199#2534—31no—
200#2521—31no—
201#2486—31no—
202#2480—31no—
203#2476—31no—
204#2474—31no—
205#2468D311yescharacteristic, complemented
206#2465—31no—
207#2458—31no—
208#2444—31no—
209#2419—31no—
210#2418—31no—
211#2418—31no—
212#2406—31no—
213#2405—31no—
214#2364—31no—
215#2359—31no—
216#2342—31no—
217#2339—31no—
218D4×C22⋊C4—31no—
219C4×#123—31no—
220C2×#388—31no—
221C24×D3C2311yescharacteristic
222C24×D3C2311yescharacteristic
223C22×C3×D4C2311yescharacteristic
224C23×C3×C4C2311yescharacteristic
225C23×C3×C4C2311yescharacteristic
226C22×#67C2311yescharacteristic
227C22×#67C2311yescharacteristic
228C22×#67C2311yescharacteristic
229C22×#67C2311yescharacteristic
230C23×Dic3C2311yescharacteristic
231C23×Dic3C2311yescharacteristic
232C2×#235—24no—
233C2×#235—24no—
234C2×#235—42no—
235C22×D12—24no—
236C22×D12—24no—
237C22×D12—42no—
238C22×D12C2311yescharacteristic
239C22×D12C2311yescharacteristic
240C22×D12C2311yescharacteristic
241C22×D12C2311yescharacteristic
242C22×C4×D3C2311yescharacteristic
243C22×C4×D3C2311yescharacteristic
244C22×C4×D3C2311yescharacteristic
245C22×C4×D3C2311yescharacteristic
246C22×C4×D3C2311yescharacteristic
247C22×C4×D3C2311yescharacteristic
248C22×C4×D3C2311yescharacteristic
249C22×C4×D3C2311yescharacteristic
250C22×C4×D3C2311yescharacteristic
251C22×C4×D3C2311yescharacteristic
252C22×Dic6C2311yescharacteristic
253C22×Dic6C2311yescharacteristic
254C3×#126—24no—
255C3×C4×D4—24no—
256C2×C3×C4⋊C4C2311yescharacteristic
257C2×C3×C4⋊C4C2311yescharacteristic
258C2×C3×C4⋊C4C2311yescharacteristic
259C2×C3×C4⋊C4C2311yescharacteristic
260C2×C3×C4⋊C4C2311yescharacteristic
261C2×C3×C4⋊C4C2311yescharacteristic
262C2×C3×C4⋊C4C2311yescharacteristic
263C2×C3×C4⋊C4C2311yescharacteristic
264C2×C3×C4⋊C4C2311yescharacteristic
265C2×C3×C22⋊C4C2311yescharacteristic
266C2×C3×C22⋊C4C2311yescharacteristic
267C2×C3×C22⋊C4C2311yescharacteristic
268C2×C3×C22⋊C4C2311yescharacteristic
269C2×C3×C22⋊C4C2311yescharacteristic
270C2×C3×C22⋊C4C2311yescharacteristic
271C2×C3×C22⋊C4C2311yescharacteristic
272C2×C3×C22⋊C4C2311yescharacteristic
273C2×C3×C22⋊C4C2311yescharacteristic
274C2×C3×C22⋊C4C2311yescharacteristic
275C2×C3×C42C2311yescharacteristic
276C2×C3×C42C2311yescharacteristic
277C2×C3×C42C2311yescharacteristic
278C2×#217C2311yescharacteristic
279C2×#217C2311yescharacteristic
280C2×#217C2311yescharacteristic
281C2×#217C2311yescharacteristic
282C2×#217C2311yescharacteristic
283C2×#217C2311yescharacteristic
284C2×#217C2311yescharacteristic
285C2×#217C2311yescharacteristic
286#937—24no—
287#937—24no—
288#935—24no—
289#930—24no—
290C2×(C2×D3)⋊C4C2311yescharacteristic
291C2×(C2×D3)⋊C4C2311yescharacteristic
292C2×(C2×D3)⋊C4C2311yescharacteristic
293C2×(C2×D3)⋊C4C2311yescharacteristic
294C2×(C2×D3)⋊C4C2311yescharacteristic
295C2×(C2×D3)⋊C4C2311yescharacteristic
296C2×(C2×D3)⋊C4C2311yescharacteristic
297C2×(C2×D3)⋊C4C2311yescharacteristic
298C2×(C2×D3)⋊C4C2311yescharacteristic
299C2×(C2×D3)⋊C4C2311yescharacteristic
300C2×(C2×D3)⋊C4C2311yescharacteristic
301C2×(C2×D3)⋊C4C2311yescharacteristic
302C2×(C2×D3)⋊C4C2311yescharacteristic
303C2×(C2×D3)⋊C4C2311yescharacteristic
304C2×(C2×D3)⋊C4C2311yescharacteristic
305C2×(C2×D3)⋊C4C2311yescharacteristic
306C2×(C2×D3)⋊C4C2311yescharacteristic
307C2×(C2×D3)⋊C4C2311yescharacteristic
308C2×(C2×D3)⋊C4C2311yescharacteristic
309C2×(C2×D3)⋊C4C2311yescharacteristic
310C2×(C2×D3)⋊C4C2311yescharacteristic
311C2×(C2×D3)⋊C4C2311yescharacteristic
312C2×(C2×D3)⋊C4C2311yescharacteristic
313C2×(C2×D3)⋊C4C2311yescharacteristic
314C2×(C2×D3)⋊C4C2311yescharacteristic
315C2×(C2×D3)⋊C4C2311yescharacteristic
316C2×(C2×D3)⋊C4C2311yescharacteristic
317C2×(C2×D3)⋊C4C2311yescharacteristic
318C2×(C2×D3)⋊C4C2311yescharacteristic
319C2×(C2×D3)⋊C4C2311yescharacteristic
320C2×(C2×D3)⋊C4C2311yescharacteristic
321C2×(C2×D3)⋊C4C2311yescharacteristic
322C2×(C2×D3)⋊C4C2311yescharacteristic
323C2×(C2×D3)⋊C4C2311yescharacteristic
324C2×C4⋊Dic3C2311yescharacteristic
325C2×C4⋊Dic3C2311yescharacteristic
326C2×C4⋊Dic3C2311yescharacteristic
327C2×C4⋊Dic3C2311yescharacteristic
328#924—24no—
329C2×Dic3⋊C4C2311yescharacteristic
330C2×Dic3⋊C4C2311yescharacteristic
331C2×Dic3⋊C4C2311yescharacteristic
332C2×Dic3⋊C4C2311yescharacteristic
333C2×Dic3⋊C4C2311yescharacteristic
334C2×Dic3⋊C4C2311yescharacteristic
335C2×Dic3⋊C4C2311yescharacteristic
336C2×Dic3⋊C4C2311yescharacteristic
337C2×Dic3⋊C4C2311yescharacteristic
338C2×Dic3⋊C4C2311yescharacteristic
339C2×Dic3⋊C4C2311yescharacteristic
340C2×Dic3⋊C4C2311yescharacteristic
341C2×Dic3⋊C4C2311yescharacteristic
342C2×Dic3⋊C4C2311yescharacteristic
343C2×C4×Dic3C2311yescharacteristic
344C2×C4×Dic3C2311yescharacteristic
345C2×C4×Dic3C2311yescharacteristic
346C2×C4×Dic3C2311yescharacteristic
347C2×C4×Dic3C2311yescharacteristic
348C2×C4×Dic3C2311yescharacteristic
349C2×C4×Dic3C2311yescharacteristic
350C2×C4×Dic3C2311yescharacteristic
351#896—24no—
352#894—24no—
353#894—24no—
354#894—24no—
355#894—24no—
356#893—24no—
357#893—42no—
358#892—24no—
359D3×C4⋊C4—42no—
360#889—24no—
361#887—24no—
362#885—24no—
363#884—24no—
364#884D418yes—
365#883—24no—
366#67⋊C4—24no—
367#67⋊C4—24no—
368#67⋊C4—42no—
369D3×C22⋊C4—24no—
370D3×C22⋊C4—24no—
371D3×C22⋊C4—24no—
372D3×C22⋊C4—24no—
373D3×C22⋊C4—42no—
374#877—24no—
375#876—24no—
376#875—24no—
377C4×D12—24no—
378C42×D3—24no—
379C3×#95C2311yescharacteristic
380C3×#95C2311yescharacteristic
381C3×#95C2311yescharacteristic
382C3×#95C2311yescharacteristic
383C3×#95C2311yescharacteristic
384C3×#95C2311yescharacteristic
385C3×#95C2311yescharacteristic
386C3×#95C2311yescharacteristic
387C3×#95C2311yescharacteristic
388C3×#95C2311yescharacteristic
389C3⋊#95C2311yescharacteristic
390C3⋊#95C2311yescharacteristic
391C3⋊#95C2311yescharacteristic
392C3⋊#95C2311yescharacteristic
393C3⋊#95C2311yescharacteristic
394C3⋊#95C2311yescharacteristic
395C3⋊#95C2311yescharacteristic
396C3⋊#95C2311yescharacteristic
397C3⋊#95C2311yescharacteristic
398C3⋊#95C2311yescharacteristic
399C3⋊#95C2311yescharacteristic
400C3⋊#95C2311yescharacteristic
401C3⋊#95C2311yescharacteristic
402C3⋊#95C2311yescharacteristic
403C3⋊#95C2311yescharacteristic
404C3⋊#95C2311yescharacteristic
405C3⋊#95C2311yescharacteristic
406C3⋊#95C2311yescharacteristic
407C3⋊#95C2311yescharacteristic
408C3⋊#95C2311yescharacteristic
409C3⋊#95C2311yescharacteristic
410C3⋊#95C2311yescharacteristic
411C3⋊#95C2311yescharacteristic
412C3⋊#95C2311yescharacteristic
413C3⋊#95C2311yescharacteristic
414C3⋊#95C2311yescharacteristic
415C3⋊#95C2311yescharacteristic
416C3⋊#95C2311yescharacteristic
417C22×#41—31no—
418C23×D4—31no—
419#546—68no—
420#529—68no—
421C2×#126—31no—
422C2×#126C2×D311yescharacteristic, complemented
423C2×#125—31no—
424C2×#124—31no—
425C2×#124—31no—
426C2×#123—31no—
427C2×#123—31no—
428C2×#123—31no—
429C2×#123—31no—
430C2×#123—31no—
431C2×#123—31no—
432C2×C22⋊Q8—31no—
433C2×C22⋊Q8—31no—
434C2×#121—31no—
435C2×#121—31no—
436C2×#121—31no—
437C2×#120—31no—
438C2×#120—31no—
439C2×C4×Q8—31no—
440C2×C4×D4—31no—
441C2×C4×D4—31no—
442C2×C4×D4—31no—
443C2×C4×D4—31no—
444C2×C4×D4—31no—
445C2×C4×D4—31no—
446C2×C4×D4C2×D311yescharacteristic
447C2×#117—31no—
448C2×#117—31no—
449C22×C4⋊C4—31no—
450C22×C22⋊C4—31no—
451C22×C22⋊C4—31no—
452C22×C22⋊C4—31no—
453C22×C22⋊C4—31no—
454C22×C22⋊C4—31no—
455C22×C42—31no—
456#400—31no—
457#400—31no—
458#399—31no—
459#399—31no—
460#398—31no—
461#398C2×D311yescharacteristic, complemented
462#398C2×D311yescharacteristic, complemented
463#397—31no—
464#397—31no—
465#397—31no—
466#397—31no—
467#397—31no—
468#397—31no—
469#397—31no—
470#396—31no—
471#396—31no—
472#395—31no—
473#395—31no—
474#395—31no—
475#394—31no—
476#394—31no—
477#394—31no—
478#394—31no—
479#394—31no—
480#394—31no—
481#394—31no—
482#394—31no—
483#394C2×D311yescharacteristic
484#394C2×D311yescharacteristic
485#393—31no—
486#393—31no—
487#393—31no—
488#391—31no—
489#391—31no—
490#390—31no—
491#390—31no—
492#389—31no—
493#389—31no—
494#388—31no—
495#388—31no—
496#388—31no—
497#388—31no—
498#388—31no—
499#388—31no—
500#388—31no—
501#388—31no—
502#388—31no—
503#388—31no—
504#388—31no—
505#388—31no—
506#388—31no—
507#388—31no—
508#388—31no—
509#388—31no—
510#388—31no—
511#388C2×D311yescharacteristic
512#388C2×D311yescharacteristic
513#388C2×D311yescharacteristic, complemented
514#387—31no—
515#387—31no—
516#387—31no—
517#387—31no—
518#387—31no—
519#387—31no—
520#387—31no—
521#387C2×D311yescharacteristic, complemented
522#386—31no—
523#386—31no—
524#386—31no—
525#386—31no—
526#386—31no—
527#386—31no—
528#386—31no—
529#386—31no—
530#386—31no—
531#386—31no—
532#386—31no—
533#386—31no—
534#386—31no—
535#386—31no—
536#385—31no—
537#385—31no—
538#385—31no—
539#385—31no—
540#385—31no—
541#385—31no—
542#385—31no—
543#385—31no—
544#385C2×D311yescharacteristic
545#385C2×D311yescharacteristic, complemented
546#381—31no—
547#381—31no—
548#381—31no—
549#381—31no—
550#381C2×D311yescharacteristic, complemented
551#380—31no—
552#380—31no—
553#380—31no—
554#380—31no—
555#380—31no—
556#380C2×D311yescharacteristic
557#379—31no—
558#379—31no—
559#379—31no—
560#379—31no—
561#379—31no—
562C4×C4⋊C4—31no—
563C4×C4⋊C4C2×D311yescharacteristic, complemented
564C4×C22⋊C4—31no—
565C4×C22⋊C4—31no—
566C4×C22⋊C4—31no—
567C4×C22⋊C4—31no—
568C4×C22⋊C4—31no—
569C4×C22⋊C4—31no—
570C4×C22⋊C4—31no—
571C2×#95—31no—
572C2×#95—31no—
573C2×#95—31no—
574C24×C3C2411yescharacteristic
575C24×C3C2411yescharacteristic
576C23×D3—22no—
577C23×D3—22no—
578C23×D3—22no—
579C23×D3—22no—
580C23×D3—22no—
581C23×D3—22no—
582C23×D3—22no—
583C23×D3—41no—
584C23×D3—41no—
585C23×D3—41no—
586C23×D3—41no—
587C23×D3—41no—
588C23×D3—41no—
589C23×D3—41no—
590C23×D3C2411yescharacteristic
591C23×D3C2411yescharacteristic
592C23×D3C2411yescharacteristic
593C23×D3C2411yescharacteristic
594C2×C3×D4—22no—
595C2×C3×D4—22no—
596C2×C3×D4—41no—
597C22×C3×C4—22no—
598C22×C3×C4—22no—
599C22×C3×C4—22no—
600C22×C3×C4—22no—
601C22×C3×C4—41no—
602C22×C3×C4—41no—
603C22×C3×C4C2411yescharacteristic
604C22×C3×C4C2411yescharacteristic
605C22×C3×C4C2411yescharacteristic
606C22×C3×C4C2411yescharacteristic
607C22×C3×C4C2411yescharacteristic
608C22×C3×C4C2411yescharacteristic
609C22×C3×C4C2411yescharacteristic
610C22×C3×C4C2411yescharacteristic
611C22×C3×C4C2411yescharacteristic
612C22×C3×C4C2411yescharacteristic
613C22×C3×C4C2411yescharacteristic
614C22×C3×C4C2411yescharacteristic
615C22×C3×C4C2411yescharacteristic
616C2×#67—22no—
617C2×#67—22no—
618C2×#67—22no—
619C2×#67—22no—
620C2×#67—22no—
621C2×#67—41no—
622C2×#67—41no—
623C2×#67—41no—
624C2×#67—41no—
625C2×#67—41no—
626C2×#67C2×D414yes—
627C2×#67C2×D414yes—
628C22×Dic3—22no—
629C22×Dic3—22no—
630C22×Dic3—41no—
631C22×Dic3—41no—
632C22×Dic3—41no—
633C22×Dic3—41no—
634C22×Dic3C2411yescharacteristic
635C22×Dic3C2411yescharacteristic
636C22×Dic3C2411yescharacteristic
637C22×Dic3C2411yescharacteristic
638C22×Dic3C2411yescharacteristic
639C22×Dic3C2411yescharacteristic
640C22×Dic3C2411yescharacteristic
641C22×Dic3C2411yescharacteristic
642C22×Dic3C2411yescharacteristic
643C22×Dic3C2411yescharacteristic
644C22×Dic3C2411yescharacteristic
645C22×Dic3C2411yescharacteristic
646#235—416no—
647C2×D12—22no—
648C2×D12—22no—
649C2×D12—22no—
650C2×D12—22no—
651C2×D12—22no—
652C2×D12—22no—
653C2×D12—22no—
654C2×D12—22no—
655C2×D12—416no—
656C2×D12—41no—
657C2×D12—41no—
658C2×D12C2×D414yes—
659C2×D12#4114yes—
660C2×C4×D3—22no—
661C2×C4×D3—22no—
662C2×C4×D3—22no—
663C2×C4×D3—22no—
664C2×C4×D3—22no—
665C2×C4×D3—22no—
666C2×C4×D3—22no—
667C2×C4×D3—22no—
668C2×C4×D3—22no—
669C2×C4×D3—22no—
670C2×C4×D3—22no—
671C2×C4×D3—22no—
672C2×C4×D3—22no—
673C2×C4×D3—22no—
674C2×C4×D3—22no—
675C2×C4×D3—22no—
676C2×C4×D3—22no—
677C2×C4×D3—41no—
678C2×C4×D3—41no—
679C2×C4×D3—41no—
680C2×C4×D3—41no—
681C2×C4×D3—41no—
682C2×C4×D3—41no—
683C2×C4×D3—41no—
684C2×C4×D3—41no—
685C2×C4×D3—41no—
686C2×C4×D3—41no—
687C2×C4×D3—41no—
688C2×C4×D3—41no—
689C2×C4×D3C2×D414yes—
690C2×Dic6—22no—
691C2×Dic6—22no—
692C2×Dic6—22no—
693C2×Dic6—41no—
694C2×Dic6—41no—
695C2×Dic6—41no—
696C3×C4⋊C4—22no—
697C3×C4⋊C4—22no—
698C3×C4⋊C4—22no—
699C3×C4⋊C4—22no—
700C3×C4⋊C4—22no—
701C3×C4⋊C4—41no—
702C3×C4⋊C4—41no—
703C3×C4⋊C4—41no—
704C3×C4⋊C4—41no—
705C3×C22⋊C4—22no—
706C3×C22⋊C4—22no—
707C3×C22⋊C4—22no—
708C3×C22⋊C4—22no—
709C3×C22⋊C4—22no—
710C3×C22⋊C4—41no—
711C3×C22⋊C4—41no—
712C3×C22⋊C4—41no—
713C3×C22⋊C4—41no—
714C3×C22⋊C4C2×D414yes—
715C3×C42—22no—
716C3×C42—22no—
717C3×C42—41no—
718#217—22no—
719#217—22no—
720#217—22no—
721#217—22no—
722#217—22no—
723#217—41no—
724#217—41no—
725#217#4114yescomplemented
726(C2×D3)⋊C4—22no—
727(C2×D3)⋊C4—22no—
728(C2×D3)⋊C4—22no—
729(C2×D3)⋊C4—22no—
730(C2×D3)⋊C4—22no—
731(C2×D3)⋊C4—22no—
732(C2×D3)⋊C4—22no—
733(C2×D3)⋊C4—22no—
734(C2×D3)⋊C4—22no—
735(C2×D3)⋊C4—22no—
736(C2×D3)⋊C4—22no—
737(C2×D3)⋊C4—22no—
738(C2×D3)⋊C4—22no—
739(C2×D3)⋊C4—22no—
740(C2×D3)⋊C4—22no—
741(C2×D3)⋊C4—22no—
742(C2×D3)⋊C4—22no—
743(C2×D3)⋊C4—22no—
744(C2×D3)⋊C4—22no—
745(C2×D3)⋊C4—22no—
746(C2×D3)⋊C4—41no—
747(C2×D3)⋊C4—41no—
748(C2×D3)⋊C4—41no—
749(C2×D3)⋊C4—41no—
750(C2×D3)⋊C4—41no—
751(C2×D3)⋊C4—41no—
752(C2×D3)⋊C4—41no—
753(C2×D3)⋊C4—41no—
754(C2×D3)⋊C4—41no—
755(C2×D3)⋊C4—41no—
756(C2×D3)⋊C4—41no—
757(C2×D3)⋊C4—41no—
758(C2×D3)⋊C4—41no—
759(C2×D3)⋊C4C2×D414yes—
760C4⋊Dic3—22no—
761C4⋊Dic3—22no—
762C4⋊Dic3—41no—
763C4⋊Dic3—41no—
764Dic3⋊C4—22no—
765Dic3⋊C4—22no—
766Dic3⋊C4—22no—
767Dic3⋊C4—22no—
768Dic3⋊C4—22no—
769Dic3⋊C4—22no—
770Dic3⋊C4—22no—
771Dic3⋊C4—22no—
772Dic3⋊C4—22no—
773Dic3⋊C4—41no—
774Dic3⋊C4—41no—
775Dic3⋊C4—41no—
776Dic3⋊C4—41no—
777Dic3⋊C4C2×D414yes—
778C4×Dic3—22no—
779C4×Dic3—22no—
780C4×Dic3—22no—
781C4×Dic3—22no—
782C4×Dic3—22no—
783C4×Dic3—41no—
784C4×Dic3—41no—
785C4×Dic3—41no—
786C25—31no—
787C25—31no—
788C2×#41—64no—
789C2×#41—64no—
790C2×#41—122no—
791C22×Q8—31no—
792C22×Q8—31no—
793C22×D4—31no—
794C22×D4—31no—
795C22×D4—31no—
796C22×D4—31no—
797C22×D4—31no—
798C22×D4—31no—
799C22×D4—31no—
800C22×D4—31no—
801C22×D4—64no—
802C22×D4—64no—
803C22×D4—122no—
804C22×D4C22×D311yescharacteristic
805C23×C4—31no—
806C23×C4—31no—
807C23×C4—31no—
808C23×C4—31no—
809C23×C4—31no—
810C23×C4—31no—
811C23×C4—31no—
812C23×C4—31no—
813C23×C4—31no—
814C23×C4—31no—
815C23×C4—31no—
816C23×C4—31no—
817C23×C4C22×D311yescharacteristic
818C23×C4C22×D311yescharacteristic
819#126—24no—
820#126—64no—
821#125—64no—
822#124—64no—
823#124—64no—
824#123—64no—
825#123—64no—
826#123—64no—
827#123—64no—
828#123—64no—
829#123—64no—
830C22⋊Q8—64no—
831C22⋊Q8—64no—
832#121—38no—
833#121—64no—
834#121—64no—
835#120—64no—
836#120—64no—
837C4×Q8—64no—
838C4×D4—24no—
839C4×D4—64no—
840C4×D4—64no—
841C4×D4—64no—
842C4×D4—64no—
843C4×D4—122no—
844C4×D4—122no—
845#117—64no—
846#117—64no—
847C2×C4⋊C4—31no—
848C2×C4⋊C4—31no—
849C2×C4⋊C4—31no—
850C2×C4⋊C4—31no—
851C2×C4⋊C4—31no—
852C2×C4⋊C4—31no—
853C2×C4⋊C4—31no—
854C2×C4⋊C4—31no—
855C2×C4⋊C4—31no—
856C2×C4⋊C4—31no—
857C2×C4⋊C4—31no—
858C2×C4⋊C4—31no—
859C2×C4⋊C4—31no—
860C2×C4⋊C4—31no—
861C2×C4⋊C4—31no—
862C2×C4⋊C4—31no—
863C2×C4⋊C4—31no—
864C2×C4⋊C4—31no—
865C2×C4⋊C4—122no—
866C2×C4⋊C4C22×D311yescharacteristic
867C2×C4⋊C4C22×D311yescharacteristic
868C2×C4⋊C4C22×D311yescharacteristic
869C2×C4⋊C4C22×D311yescharacteristic
870C2×C4⋊C4C22×D311yescharacteristic
871C2×C4⋊C4C22×D311yescharacteristic
872C2×C4⋊C4C22×D311yescharacteristic
873C2×C4⋊C4C22×D311yescharacteristic
874C2×C4⋊C4C22×D311yescharacteristic
875C2×C22⋊C4—31no—
876C2×C22⋊C4—31no—
877C2×C22⋊C4—31no—
878C2×C22⋊C4—31no—
879C2×C22⋊C4—31no—
880C2×C22⋊C4—31no—
881C2×C22⋊C4—31no—
882C2×C22⋊C4—31no—
883C2×C22⋊C4—31no—
884C2×C22⋊C4—31no—
885C2×C22⋊C4—31no—
886C2×C22⋊C4—31no—
887C2×C22⋊C4—31no—
888C2×C22⋊C4—31no—
889C2×C22⋊C4—31no—
890C2×C22⋊C4—31no—
891C2×C22⋊C4—31no—
892C2×C22⋊C4—31no—
893C2×C22⋊C4—31no—
894C2×C22⋊C4—31no—
895C2×C22⋊C4—31no—
896C2×C22⋊C4—31no—
897C2×C22⋊C4—31no—
898C2×C22⋊C4—31no—
899C2×C22⋊C4—31no—
900C2×C22⋊C4—31no—
901C2×C22⋊C4—31no—
902C2×C22⋊C4—31no—
903C2×C22⋊C4—31no—
904C2×C22⋊C4—31no—
905C2×C22⋊C4—31no—
906C2×C22⋊C4—31no—
907C2×C22⋊C4—31no—
908C2×C22⋊C4—31no—
909C2×C22⋊C4—31no—
910C2×C22⋊C4—31no—
911C2×C22⋊C4—31no—
912C2×C22⋊C4—31no—
913C2×C22⋊C4—31no—
914C2×C22⋊C4—31no—
915C2×C22⋊C4—31no—
916C2×C22⋊C4—31no—
917C2×C22⋊C4—64no—
918C2×C22⋊C4—64no—
919C2×C22⋊C4—64no—
920C2×C22⋊C4—64no—
921C2×C22⋊C4—122no—
922C2×C22⋊C4C22×D311yescharacteristic
923C2×C22⋊C4C22×D311yescharacteristic
924C2×C22⋊C4C22×D311yescharacteristic
925C2×C22⋊C4C22×D311yescharacteristic
926C2×C22⋊C4C22×D311yescharacteristic
927C2×C22⋊C4C22×D311yescharacteristic
928C2×C22⋊C4C22×D311yescharacteristic
929C2×C22⋊C4C22×D311yescharacteristic
930C2×C22⋊C4C22×D311yescharacteristic
931C2×C22⋊C4C22×D311yescharacteristic
932C2×C42—31no—
933C2×C42—31no—
934C2×C42—31no—
935C2×C42—31no—
936C2×C42—31no—
937C2×C42—31no—
938C2×C42—31no—
939C2×C42—31no—
940C2×C42—64no—
941C2×C42C22×D311yescharacteristic
942C2×C42C22×D311yescharacteristic
943C2×C42C22×D311yescharacteristic
944#95—31no—
945#95—31no—
946#95—31no—
947#95—31no—
948#95—31no—
949#95—31no—
950#95—31no—
951#95—31no—
952#95—31no—
953#95—31no—
954#95—31no—
955#95—31no—
956#95—31no—
957#95—31no—
958#95—31no—
959#95—31no—
960#95—31no—
961#95—31no—
962#95—31no—
963#95—31no—
964#95—31no—
965#95—31no—
966#95—31no—
967#95—31no—
968#95—31no—
969#95—31no—
970#95—31no—
971#95—31no—
972#95C22×D311yescharacteristic
973#95C22×D311yescharacteristic
974#95C22×D311yescharacteristic
975#95C22×D311yescharacteristic
976#95C22×D311yescharacteristic
977#95C22×D311yescharacteristic
978#95C22×D311yescharacteristic
979#95C22×D311yescharacteristic
980#95C22×D311yescharacteristic
981#95C22×D311yescharacteristic
982C23×C3—21no—
983C23×C3—21no—
984C23×C3—21no—
985C23×C3—21no—
986C23×C3—21no—
987C23×C3—21no—
988C23×C3—21no—
989C23×C3—21no—
990C23×C3—21no—
991C23×C3—21no—
992C23×C3—21no—
993C23×C3—21no—
994C23×C3C22×D412yes—
995C23×C3C2×#4112yes—
996C23×C3C2511yescharacteristic
997C22×D3—21no—
998C22×D3—21no—
999C22×D3—21no—
1000C22×D3—21no—
1001C22×D3—21no—
1002C22×D3—21no—
1003C22×D3—21no—
1004C22×D3—21no—
1005C22×D3—21no—
1006C22×D3—21no—
1007C22×D3—21no—
1008C22×D3—21no—
1009C22×D3—21no—
1010C22×D3—21no—
1011C22×D3—21no—
1012C22×D3—21no—
1013C22×D3—21no—
1014C22×D3—21no—
1015C22×D3—21no—
1016C22×D3—21no—
1017C22×D3—21no—
1018C22×D3—21no—
1019C22×D3—21no—
1020C22×D3—44no—
1021C22×D3—44no—
1022C22×D3—44no—
1023C22×D3—44no—
1024C22×D3—44no—
1025C22×D3—44no—
1026C22×D3—44no—
1027C22×D3—82no—
1028C22×D3—82no—
1029C22×D3—82no—
1030C22×D3—82no—
1031C22×D3—82no—
1032C22×D3—82no—
1033C22×D3—82no—
1034C22×D3C22×D412yes—
1035C22×D3C22×D412yes—
1036C22×D3C2×#4112yes—
1037C22×D3C2×#4112yes—
1038C22×D3H(5,𝔽2)12yes—
1039C3×D4—44no—
1040C2×C3×C4—21no—
1041C2×C3×C4—21no—
1042C2×C3×C4—21no—
1043C2×C3×C4—21no—
1044C2×C3×C4—21no—
1045C2×C3×C4—21no—
1046C2×C3×C4—21no—
1047C2×C3×C4—21no—
1048C2×C3×C4—21no—
1049C2×C3×C4—21no—
1050C2×C3×C4—21no—
1051C2×C3×C4—21no—
1052C2×C3×C4—21no—
1053C2×C3×C4—21no—
1054C2×C3×C4—21no—
1055C2×C3×C4—21no—
1056C2×C3×C4—21no—
1057C2×C3×C4—21no—
1058C2×C3×C4—21no—
1059C2×C3×C4—21no—
1060C2×C3×C4—21no—
1061C2×C3×C4—21no—
1062C2×C3×C4—21no—
1063C2×C3×C4—21no—
1064C2×C3×C4—21no—
1065C2×C3×C4—21no—
1066C2×C3×C4—21no—
1067C2×C3×C4—21no—
1068C2×C3×C4—21no—
1069C2×C3×C4—21no—
1070C2×C3×C4—21no—
1071C2×C3×C4—21no—
1072C2×C3×C4—21no—
1073C2×C3×C4—21no—
1074C2×C3×C4—21no—
1075C2×C3×C4—21no—
1076C2×C3×C4—44no—
1077C2×C3×C4—44no—
1078C2×C3×C4C22×D412yes—
1079C2×C3×C4C22×D412yes—
1080C2×C3×C4C2×#4112yes—
1081#67—28no—
1082#67—44no—
1083#67—44no—
1084#67—82no—
1085C2×Dic3—21no—
1086C2×Dic3—21no—
1087C2×Dic3—21no—
1088C2×Dic3—21no—
1089C2×Dic3—21no—
1090C2×Dic3—21no—
1091C2×Dic3—21no—
1092C2×Dic3—21no—
1093C2×Dic3—21no—
1094C2×Dic3—21no—
1095C2×Dic3—21no—
1096C2×Dic3—21no—
1097C2×Dic3—21no—
1098C2×Dic3—21no—
1099C2×Dic3—21no—
1100C2×Dic3—21no—
1101C2×Dic3—21no—
1102C2×Dic3—21no—
1103C2×Dic3—21no—
1104C2×Dic3—21no—
1105C2×Dic3—21no—
1106C2×Dic3—21no—
1107C2×Dic3—21no—
1108C2×Dic3—21no—
1109C2×Dic3—21no—
1110C2×Dic3—21no—
1111C2×Dic3—21no—
1112C2×Dic3—21no—
1113C2×Dic3—21no—
1114C2×Dic3—21no—
1115C2×Dic3—21no—
1116C2×Dic3—21no—
1117C2×Dic3—44no—
1118C2×Dic3—82no—
1119C2×Dic3C22×D412yes—
1120C2×Dic3C22×D412yes—
1121C2×Dic3C2×#4112yes—
1122C2×Dic3C2×#4112yes—
1123D12—28no—
1124D12—28no—
1125D12—44no—
1126D12—44no—
1127C4×D3—44no—
1128C4×D3—44no—
1129C4×D3—44no—
1130C4×D3—44no—
1131C4×D3—44no—
1132C4×D3—44no—
1133C4×D3—44no—
1134C4×D3—82no—
1135C4×D3—82no—
1136C4×D3—82no—
1137Dic6—44no—
1138Dic6—44no—
1139C24—31no—
1140C24—31no—
1141C24—31no—
1142C24—31no—
1143C24—62no—
1144C24—62no—
1145C24—62no—
1146C24—62no—
1147C24—62no—
1148C24—62no—
1149C24—62no—
1150C24—121no—
1151C24—121no—
1152C24—121no—
1153C24—121no—
1154C24—121no—
1155C24—121no—
1156C24—121no—
1157C24C23×D311yescharacteristic
1158C24C23×D311yescharacteristic
1159#41—1216no—
1160C2×Q8—62no—
1161C2×Q8—62no—
1162C2×Q8—62no—
1163C2×Q8—121no—
1164C2×Q8—121no—
1165C2×Q8—121no—
1166C2×D4—22no—
1167C2×D4—22no—
1168C2×D4—34no—
1169C2×D4—34no—
1170C2×D4—34no—
1171C2×D4—34no—
1172C2×D4—41no—
1173C2×D4—62no—
1174C2×D4—62no—
1175C2×D4—62no—
1176C2×D4—62no—
1177C2×D4—62no—
1178C2×D4—62no—
1179C2×D4—62no—
1180C2×D4—62no—
1181C2×D4—62no—
1182C2×D4—62no—
1183C2×D4—62no—
1184C2×D4—62no—
1185C2×D4—62no—
1186C2×D4—121no—
1187C2×D4—121no—
1188C2×D4—1216no—
1189C2×D4—121no—
1190C2×D4—121no—
1191C2×D4—121no—
1192C2×D4—121no—
1193C2×D4—121no—
1194C22×C4—22no—
1195C22×C4—22no—
1196C22×C4—22no—
1197C22×C4—22no—
1198C22×C4—31no—
1199C22×C4—31no—
1200C22×C4—31no—
1201C22×C4—31no—
1202C22×C4—34no—
1203C22×C4—31no—
1204C22×C4—31no—
1205C22×C4—31no—
1206C22×C4—31no—
1207C22×C4—31no—
1208C22×C4—31no—
1209C22×C4—31no—
1210C22×C4—31no—
1211C22×C4—41no—
1212C22×C4—41no—
1213C22×C4—62no—
1214C22×C4—62no—
1215C22×C4—62no—
1216C22×C4—62no—
1217C22×C4—62no—
1218C22×C4—62no—
1219C22×C4—62no—
1220C22×C4—62no—
1221C22×C4—62no—
1222C22×C4—62no—
1223C22×C4—62no—
1224C22×C4—62no—
1225C22×C4—62no—
1226C22×C4—62no—
1227C22×C4—62no—
1228C22×C4—62no—
1229C22×C4—62no—
1230C22×C4—62no—
1231C22×C4—62no—
1232C22×C4—121no—
1233C22×C4—121no—
1234C22×C4—121no—
1235C22×C4—121no—
1236C22×C4—121no—
1237C22×C4—121no—
1238C22×C4—121no—
1239C22×C4—121no—
1240C22×C4—121no—
1241C22×C4—121no—
1242C22×C4—121no—
1243C22×C4—121no—
1244C22×C4—121no—
1245C22×C4—121no—
1246C22×C4—121no—
1247C22×C4—121no—
1248C22×C4C23×D311yescharacteristic
1249C22×C4C23×D311yescharacteristic
1250C22×C4C23×D311yescharacteristic
1251C22×C4C23×D311yescharacteristic
1252C22×C4C23×D311yescharacteristic
1253C22×C4C23×D311yescharacteristic
1254C22×C4C23×D311yescharacteristic
1255C22×C4C23×D311yescharacteristic
1256C22×C4C23×D311yescharacteristic
1257C22×C4C23×D311yescharacteristic
1258C22×C4C23×D311yescharacteristic
1259C22×C4C23×D311yescharacteristic
1260C22×C4C23×D311yescharacteristic
1261C4⋊C4—22no—
1262C4⋊C4—22no—
1263C4⋊C4—22no—
1264C4⋊C4—22no—
1265C4⋊C4—22no—
1266C4⋊C4—34no—
1267C4⋊C4—41no—
1268C4⋊C4—41no—
1269C4⋊C4—41no—
1270C4⋊C4—41no—
1271C4⋊C4—62no—
1272C4⋊C4—62no—
1273C4⋊C4—62no—
1274C4⋊C4—62no—
1275C4⋊C4—62no—
1276C4⋊C4—62no—
1277C4⋊C4—62no—
1278C4⋊C4—62no—
1279C4⋊C4—62no—
1280C4⋊C4—62no—
1281C4⋊C4—62no—
1282C4⋊C4—121no—
1283C4⋊C4—121no—
1284C4⋊C4—121no—
1285C4⋊C4—121no—
1286C4⋊C4—121no—
1287C4⋊C4—121no—
1288C22⋊C4—22no—
1289C22⋊C4—22no—
1290C22⋊C4—22no—
1291C22⋊C4—22no—
1292C22⋊C4—22no—
1293C22⋊C4—34no—
1294C22⋊C4—34no—
1295C22⋊C4—41no—
1296C22⋊C4—41no—
1297C22⋊C4—41no—
1298C22⋊C4—41no—
1299C22⋊C4—62no—
1300C22⋊C4—62no—
1301C22⋊C4—62no—
1302C22⋊C4—62no—
1303C22⋊C4—62no—
1304C22⋊C4—62no—
1305C22⋊C4—62no—
1306C22⋊C4—62no—
1307C22⋊C4—62no—
1308C22⋊C4—62no—
1309C22⋊C4—62no—
1310C22⋊C4—62no—
1311C22⋊C4—62no—
1312C22⋊C4—62no—
1313C22⋊C4—62no—
1314C22⋊C4—62no—
1315C22⋊C4—62no—
1316C22⋊C4—62no—
1317C22⋊C4—62no—
1318C22⋊C4—62no—
1319C22⋊C4—62no—
1320C22⋊C4—62no—
1321C22⋊C4—62no—
1322C22⋊C4—62no—
1323C22⋊C4—62no—
1324C22⋊C4—121no—
1325C22⋊C4—121no—
1326C22⋊C4—121no—
1327C22⋊C4—121no—
1328C22⋊C4—121no—
1329C22⋊C4—121no—
1330C22⋊C4—121no—
1331C22⋊C4—121no—
1332C22⋊C4—121no—
1333C22⋊C4—121no—
1334C22⋊C4—121no—
1335C22⋊C4—121no—
1336C22⋊C4—121no—
1337C22⋊C4—121no—
1338C22⋊C4—121no—
1339C22⋊C4D3×D414yes—
1340C42—22no—
1341C42—22no—
1342C42—41no—
1343C42—62no—
1344C42—62no—
1345C42—62no—
1346C42—62no—
1347C42—62no—
1348C42—121no—
1349C42—121no—
1350C42—121no—
1351C22×C3—22no—
1352C22×C3—22no—
1353C22×C3—22no—
1354C22×C3—22no—
1355C22×C3—22no—
1356C22×C3—22no—
1357C22×C3—41no—
1358C22×C3—41no—
1359C22×C3—41no—
1360C22×C3—41no—
1361C22×C3—41no—
1362C22×C3—41no—
1363C22×C3—41no—
1364C22×C3—41no—
1365C22×C3C23×D411yescharacteristic
1366C22×C3C22×#4111yescharacteristic
1367C22×C3C22×#4111yescharacteristic
1368C22×C3C2×H(5,𝔽2)11yescharacteristic
1369C22×C3#58511yescharacteristic
1370C22×C3#58511yescharacteristic
1371C22×C3#58511yescharacteristic
1372C2×D3—22no—
1373C2×D3—22no—
1374C2×D3—22no—
1375C2×D3—22no—
1376C2×D3—22no—
1377C2×D3—22no—
1378C2×D3—22no—
1379C2×D3—22no—
1380C2×D3—22no—
1381C2×D3—22no—
1382C2×D3—22no—
1383C2×D3—22no—
1384C2×D3—41no—
1385C2×D3—41no—
1386C2×D3—41no—
1387C2×D3—41no—
1388C2×D3—41no—
1389C2×D3—41no—
1390C2×D3—41no—
1391C2×D3—41no—
1392C2×D3—41no—
1393C2×D3—41no—
1394C2×D3—41no—
1395C2×D3—41no—
1396C2×D3—41no—
1397C2×D3—41no—
1398C2×D3—41no—
1399C2×D3—88no—
1400C2×D3—88no—
1401C2×D3#54614yes—
1402C3×C4—22no—
1403C3×C4—22no—
1404C3×C4—22no—
1405C3×C4—41no—
1406C3×C4—41no—
1407C3×C4—41no—
1408C3×C4—41no—
1409C3×C4—41no—
1410C3×C4—41no—
1411C3×C4—41no—
1412C3×C4—41no—
1413C3×C4—41no—
1414C3×C4—41no—
1415Dic3—22no—
1416Dic3—22no—
1417Dic3—22no—
1418Dic3—22no—
1419Dic3—41no—
1420Dic3—41no—
1421Dic3—41no—
1422Dic3—41no—
1423Dic3—41no—
1424Dic3—41no—
1425Dic3—41no—
1426Dic3—41no—
1427C23—21no—
1428C23—21no—
1429C23—21no—
1430C23—21no—
1431C23—21no—
1432C23—21no—
1433C23—21no—
1434C23—21no—
1435C23—21no—
1436C23—21no—
1437C23—21no—
1438C23—21no—
1439C23—32no—
1440C23—32no—
1441C23—32no—
1442C23—32no—
1443C23—32no—
1444C23—61no—
1445C23—61no—
1446C23—61no—
1447C23—61no—
1448C23—61no—
1449C23—61no—
1450C23—61no—
1451C23—61no—
1452C23—61no—
1453C23—61no—
1454C23—61no—
1455C23—61no—
1456C23—61no—
1457C23—61no—
1458C23—61no—
1459C23—61no—
1460C23—61no—
1461C23—61no—
1462C23—61no—
1463C23—61no—
1464C23—61no—
1465C23—61no—
1466C23—61no—
1467C23—124no—
1468C23—124no—
1469C23—124no—
1470C23—124no—
1471C23—124no—
1472C23—124no—
1473C23—124no—
1474C23—242no—
1475C23—242no—
1476C23—242no—
1477C23—242no—
1478C23—242no—
1479C23—242no—
1480C23—242no—
1481C23C2×D3×D412yes—
1482C23D3×#4112yes—
1483C23C24×D311yescharacteristic
1484Q8—124no—
1485Q8—124no—
1486D4—44no—
1487D4—68no—
1488D4—68no—
1489D4—68no—
1490D4—124no—
1491D4—124no—
1492D4—124no—
1493D4—124no—
1494D4—242no—
1495C2×C4—21no—
1496C2×C4—21no—
1497C2×C4—21no—
1498C2×C4—21no—
1499C2×C4—21no—
1500C2×C4—21no—
1501C2×C4—21no—
1502C2×C4—21no—
1503C2×C4—21no—
1504C2×C4—21no—
1505C2×C4—21no—
1506C2×C4—21no—
1507C2×C4—21no—
1508C2×C4—21no—
1509C2×C4—21no—
1510C2×C4—21no—
1511C2×C4—21no—
1512C2×C4—21no—
1513C2×C4—21no—
1514C2×C4—21no—
1515C2×C4—21no—
1516C2×C4—21no—
1517C2×C4—21no—
1518C2×C4—21no—
1519C2×C4—21no—
1520C2×C4—21no—
1521C2×C4—21no—
1522C2×C4—21no—
1523C2×C4—21no—
1524C2×C4—21no—
1525C2×C4—21no—
1526C2×C4—21no—
1527C2×C4—21no—
1528C2×C4—21no—
1529C2×C4—21no—
1530C2×C4—21no—
1531C2×C4—32no—
1532C2×C4—32no—
1533C2×C4—32no—
1534C2×C4—32no—
1535C2×C4—44no—
1536C2×C4—44no—
1537C2×C4—61no—
1538C2×C4—61no—
1539C2×C4—61no—
1540C2×C4—61no—
1541C2×C4—61no—
1542C2×C4—61no—
1543C2×C4—61no—
1544C2×C4—61no—
1545C2×C4—61no—
1546C2×C4—61no—
1547C2×C4—61no—
1548C2×C4—61no—
1549C2×C4—61no—
1550C2×C4—61no—
1551C2×C4—61no—
1552C2×C4—61no—
1553C2×C4—61no—
1554C2×C4—61no—
1555C2×C4—61no—
1556C2×C4—61no—
1557C2×C4—61no—
1558C2×C4—61no—
1559C2×C4—61no—
1560C2×C4—61no—
1561C2×C4—61no—
1562C2×C4—61no—
1563C2×C4—61no—
1564C2×C4—61no—
1565C2×C4—61no—
1566C2×C4—61no—
1567C2×C4—61no—
1568C2×C4—61no—
1569C2×C4—124no—
1570C2×C4—124no—
1571C2×C4—124no—
1572C2×C4—124no—
1573C2×C4—124no—
1574C2×C4—124no—
1575C2×C4—124no—
1576C2×C4—124no—
1577C2×C4—242no—
1578C2×C4—242no—
1579C2×C4—242no—
1580C2×C4—242no—
1581C2×C4C2×D3×D412yes—
1582C2×C4C2×D3×D412yes—
1583C2×C4D3×#4112yes—
1584C2×C3—42no—
1585C2×C3—42no—
1586C2×C3C2×#54611yescharacteristic
1587C2×C3D4×#4111yescharacteristic
1588C2×C3#347511yescharacteristic
1589C2×C3#348511yescharacteristic
1590C2×C3#351311yescharacteristic
1591C2×C3#352111yescharacteristic
1592C2×C3#354511yescharacteristic
1593D3—24no—
1594D3—42no—
1595D3—42no—
1596D3—81no—
1597C22—22no—
1598C22—22no—
1599C22—22no—
1600C22—22no—
1601C22—22no—
1602C22—22no—
1603C22—34no—
1604C22—41no—
1605C22—41no—
1606C22—41no—
1607C22—41no—
1608C22—41no—
1609C22—41no—
1610C22—41no—
1611C22—41no—
1612C22—62no—
1613C22—62no—
1614C22—62no—
1615C22—62no—
1616C22—62no—
1617C22—62no—
1618C22—62no—
1619C22—62no—
1620C22—62no—
1621C22—62no—
1622C22—62no—
1623C22—62no—
1624C22—121no—
1625C22—121no—
1626C22—121no—
1627C22—121no—
1628C22—121no—
1629C22—121no—
1630C22—121no—
1631C22—121no—
1632C22—121no—
1633C22—121no—
1634C22—121no—
1635C22—121no—
1636C22—121no—
1637C22—121no—
1638C22—121no—
1639C22—248no—
1640C22—248no—
1641C22C22×D3×D411yescharacteristic
1642C22C2×D3×#4111yescharacteristic
1643C22C2×D3×#4111yescharacteristic
1644C22#596411yescharacteristic
1645C22#596411yescharacteristic
1646C22D3×H(5,𝔽2)11yescharacteristic
1647C22#596811yescharacteristic
1648C4—22no—
1649C4—22no—
1650C4—22no—
1651C4—41no—
1652C4—41no—
1653C4—41no—
1654C4—41no—
1655C4—41no—
1656C4—41no—
1657C4—41no—
1658C4—41no—
1659C4—41no—
1660C4—41no—
1661C4—62no—
1662C4—62no—
1663C4—62no—
1664C4—62no—
1665C4—121no—
1666C4—121no—
1667C4—121no—
1668C4—121no—
1669C4—121no—
1670C4—121no—
1671C4—121no—
1672C4—121no—
1673C3#5903211yescharacteristic, complemented, Sylow
1674C2—42no—
1675C2—42no—
1676C2—64no—
1677C2—122no—
1678C2—122no—
1679C2—241no—
1680C2#8603711yescharacteristic
1681C2#8617011yescharacteristic
1682C2#8656511yescharacteristic
1683C2D3×#54611yescharacteristic
1684C2#8670011yescharacteristic
1685C2#8682611yescharacteristic
1686C2#8688211yescharacteristic
subgroupG/H
center, FrattiniC23C24×D3
commutator, socle, cosocleC23×C3C25
FittingC3×#2468C2
prime radicalC2×#5550C2
hypercenter#2468D3
hypocenterC3#59032
LCSG ▷ C23×C3 ▷ C3
UCSC1 ◁ C23 ◁ #2468

Complements

Splittings G = N ⋊ H with N normal; H ≅ G/N.

NH ≅ G/Ntype
1. C2×#5706C2semidirect
3. C3×#2468C2semidirect
4. #83109C2semidirect
5. #82339C2semidirect
6. #77947C2semidirect
7. #77848C2semidirect
8. #77764C2semidirect
9. #77750C2semidirect
10. #77140C2semidirect
11. #77119C2semidirect
12. #77111C2semidirect
13. #77111C2semidirect
14. #75890C2semidirect
15. #75863C2semidirect
16. #75839C2semidirect
17. #75833C2semidirect
18. D3×#388C2semidirect
19. #75539C2semidirect
20. #75360C2semidirect
21. #75010C2semidirect
22. #74600C2semidirect
23. #74599C2semidirect
24. #74433C2semidirect
25. #74419C2semidirect
26. #74138C2semidirect
27. #74121C2semidirect
28. #74007C2semidirect
29. #73960C2semidirect
30. #73796C2semidirect
31. C4×#894C2semidirect
35. C2×C3×#126C22semidirect
44. C2×#896C22semidirect
51. C2×#892C22semidirect
52. C2×D3×C4⋊C4C22semidirect
53. C2×#889C22semidirect
54. C2×#887C22semidirect
55. C2×#885C22semidirect
58. C2×#883C22semidirect
59. C2×#67⋊C4C22semidirect
60. C2×#67⋊C4C22semidirect
61. C2×#67⋊C4C22semidirect
67. C2×#877C22semidirect
68. C2×#876C22semidirect
71. C2×C42×D3C22semidirect
72. C3×#398C22semidirect
73. C3×#398C22semidirect
78. C3×#388C22semidirect
79. C3×#387C22semidirect
81. C3×#385C22semidirect
82. C3×#381C22semidirect
84. C3×C4×C4⋊C4C22semidirect
87. #5210C22semidirect
89. C2×C3⋊#95C22semidirect
90. #4994C22semidirect
91. #4993C22semidirect
92. #4993C22semidirect
93. #4992C22semidirect
94. #4992C22semidirect
97. #4990C22semidirect
98. #4990C22semidirect
99. #4990C22semidirect
100. #4989C22semidirect
101. #4989C22semidirect
102. #4989C22semidirect
103. #4989C22semidirect
106. #4987C22semidirect
107. #4985C22semidirect
108. #4981C22semidirect
109. #4980C22semidirect
110. #4979C22semidirect
111. #4978C22semidirect
112. #4978C22semidirect
113. #4976C22semidirect
114. #4976C22semidirect
115. #4961C22semidirect
116. #4961C22semidirect
117. #4959C22semidirect
118. #4959C22semidirect
119. #4958C22semidirect
120. #4958C22semidirect
121. #4958C22semidirect
122. #4958C22semidirect
123. #4958C22semidirect
124. #4956C22semidirect
125. #4956C22semidirect
141. Dic3×C22⋊C4C22semidirect
142. #4940C22semidirect
143. #4940C22semidirect
144. C4×(C2×D3)⋊C4C22semidirect
145. C4×(C2×D3)⋊C4C22semidirect
146. C4×(C2×D3)⋊C4C22semidirect
147. C4×(C2×D3)⋊C4C22semidirect
148. #4933C22semidirect
149. C4×Dic3⋊C4C22semidirect
150. #4675C22semidirect
151. #4674C22semidirect
152. #4674C22semidirect
153. #4673C22semidirect
154. #4673C22semidirect
157. #4670C22semidirect
158. #4669C22semidirect
159. #4669C22semidirect
160. #4669C22semidirect
161. #4669C22semidirect
162. #4669C22semidirect
163. #4668C22semidirect
164. #4668C22semidirect
165. #4667C22semidirect
166. #4667C22semidirect
167. #4667C22semidirect
168. #4667C22semidirect
169. #4666C22semidirect
176. #4664C22semidirect
177. #4664C22semidirect
178. #4664C22semidirect
179. #4664C22semidirect
180. D3×#95C22semidirect
181. D3×#95C22semidirect
182. #4660C22semidirect
183. #4656C22semidirect
184. #4656C22semidirect
185. #4655C22semidirect
186. #4653C22semidirect
187. #4652C22semidirect
188. #4646C22semidirect
189. #4646C22semidirect
205. #2468D3semidirect
422. C2×#126C2×D3semidirect
461. #398C2×D3semidirect
462. #398C2×D3semidirect
513. #388C2×D3semidirect
521. #387C2×D3semidirect
545. #385C2×D3semidirect
550. #381C2×D3semidirect
563. C4×C4⋊C4C2×D3semidirect
725. #217#41semidirect
1673. C3#59032semidirect

Maximal subgroups

By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.

subgroupindex
C2×#57062
C2×#55502
C3×#24682
#831092
#823392
#779472
#778482
#777642
#777502
#771402
#771192
#771112
#758902
#758632
#758392
#758332
D3×#3882
#755392
#753602
#750102
#746002
#745992
#744332
#744192
#741382
#741212
#740072
#739602
#737962
C4×#8942
#590323