Finite Group Databasebeta

← #11235679

Subgroups — #11235679

Order 768.

2428 conjugacy classes of subgroups.

The subgroup lattice has 1632 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#5712C211yesmaximal, characteristic, complemented
2C22×#886C211yesmaximal, characteristic
3C3×#2480C211yesmaximal, characteristic, complemented
4#83097C211yesmaximal, characteristic, complemented
5#82112C211yesmaximal, characteristic, complemented
6#77727C211yesmaximal, characteristic, complemented
7#77727C211yesmaximal, characteristic, complemented
8#77595C211yesmaximal, characteristic, complemented
9#77589C211yesmaximal, characteristic, complemented
10#77568C211yesmaximal, characteristic, complemented
11#77567C211yesmaximal, characteristic, complemented
12#77358C211yesmaximal, characteristic, complemented
13#77350C211yesmaximal, characteristic, complemented
14#75696C211yesmaximal, characteristic, complemented
15#75689C211yesmaximal, characteristic, complemented
16#75676C211yesmaximal, characteristic, complemented
17#75668C211yesmaximal, characteristic, complemented
18#75666C211yesmaximal, characteristic, complemented
19#75489C211yesmaximal, characteristic, complemented
20#74452C211yesmaximal, characteristic, complemented
21#74442C211yesmaximal, characteristic, complemented
22#74441C211yesmaximal, characteristic, complemented
23#74413C211yesmaximal, characteristic, complemented
24#73899C211yesmaximal, characteristic, complemented
25#73896C211yesmaximal, characteristic, complemented
26#73853C211yesmaximal, characteristic
27#73846C211yesmaximal, characteristic, complemented
28#73846C211yesmaximal, characteristic, complemented
29#73827C211yesmaximal, characteristic
30#73596C211yesmaximal, characteristic, complemented
31#73493C211yesmaximal, characteristic, complemented
32#45456—31nomaximal, Sylow
33C23×#67C2211yescharacteristic
34C24×Dic3C2211yescharacteristic
35C2×C3×#126C2211yescharacteristic, complemented
36C22×C3×C22⋊C4C2211yescharacteristic
37C22×(C2×D3)⋊C4C2211yescharacteristic
38C22×(C2×D3)⋊C4C2211yescharacteristic
39C22×C4⋊Dic3C2211yescharacteristic
40C22×C4⋊Dic3C2211yescharacteristic
41#5712—28no—
42C2×#898C2211yescharacteristic, complemented
43C2×#897C2211yescharacteristic, complemented
44C2×#896C2211yescharacteristic, complemented
45C2×#890C2211yescharacteristic, complemented
46C2×#889C2211yescharacteristic, complemented
47C2×#888C2211yescharacteristic, complemented
48C2×#886—28no—
49C2×#886C2211yescharacteristic
50C2×#886C2211yescharacteristic
51C2×#886C2211yescharacteristic
52C2×#886C2211yescharacteristic
53C2×#886C2211yescharacteristic
54C2×#886C2211yescharacteristic
55C2×#886C2211yescharacteristic
56C2×#886C2211yescharacteristic
57C2×#885C2211yescharacteristic
58C2×#885C2211yescharacteristic
59C2×#883C2211yescharacteristic
60C2×#883C2211yescharacteristic
61C2×D3×C22⋊C4C2211yescharacteristic
62C2×#879C2211yescharacteristic, complemented
63C2×#878C2211yescharacteristic
64C2×#878C2211yescharacteristic
65C2×#878C2211yescharacteristic
66C2×#878C2211yescharacteristic, complemented
67C2×#878C2211yescharacteristic, complemented
68C2×#878C2211yescharacteristic, complemented
69C2×#878C2211yescharacteristic, complemented
70C2×#876C2211yescharacteristic, complemented
71C2×#869C2211yescharacteristic, complemented
72C3×#397C2211yescharacteristic, complemented
73C3×#397C2211yescharacteristic, complemented
74C3×#397C2211yescharacteristic, complemented
75C3×#396C2211yescharacteristic, complemented
76C3×#388C2211yescharacteristic, complemented
77C3×#388C2211yescharacteristic, complemented
78C3×#388C2211yescharacteristic, complemented
79C3×#385C2211yescharacteristic
80C3×#385C2211yescharacteristic
81C3×#380C2211yescharacteristic
82C3×#379C2211yescharacteristic
83C3×#379C2211yescharacteristic
84C3×C4×C22⋊C4C2211yescharacteristic
85#5247C2211yescharacteristic
86#5247C2211yescharacteristic
87#5212C2211yescharacteristic
88#5210C2211yescharacteristic
89#5210C2211yescharacteristic
90C4×#217C2211yescharacteristic
91#4994C2211yescharacteristic, complemented
92#4994C2211yescharacteristic, complemented
93#4994C2211yescharacteristic, complemented
94#4994C2211yescharacteristic, complemented
95#4993C2211yescharacteristic, complemented
96#4992C2211yescharacteristic, complemented
97#4990C2211yescharacteristic, complemented
98#4989C2211yescharacteristic, complemented
99#4987C2211yescharacteristic, complemented
100#4986C2211yescharacteristic, complemented
101#4984C2211yescharacteristic, complemented
102#4984C2211yescharacteristic, complemented
103#4982C2211yescharacteristic, complemented
104#4982C2211yescharacteristic, complemented
105#4981C2211yescharacteristic, complemented
106#4980C2211yescharacteristic, complemented
107#4975C2211yescharacteristic, complemented
108#4972C2211yescharacteristic, complemented
109#4961C2211yescharacteristic
110#4961C2211yescharacteristic
111#4961C2211yescharacteristic
112#4961C2211yescharacteristic
113#4959C2211yescharacteristic
114#4959C2211yescharacteristic
115#4959C2211yescharacteristic
116#4959C2211yescharacteristic
117#4957C2211yescharacteristic
118#4957C2211yescharacteristic
119#4956C2211yescharacteristic
120#4956C2211yescharacteristic
121#4955C2211yescharacteristic
122#4955C2211yescharacteristic
123#4955C2211yescharacteristic
124#4953C2211yescharacteristic, complemented
125#4952C2211yescharacteristic, complemented
126#4952C2211yescharacteristic, complemented
127#4951C2211yescharacteristic, complemented
128#4950C2211yescharacteristic
129#4950C2211yescharacteristic
130#4950C2211yescharacteristic
131#4950C2211yescharacteristic, complemented
132#4950C2211yescharacteristic, complemented
133#4950C2211yescharacteristic, complemented
134#4950C2211yescharacteristic, complemented
135#4948C2211yescharacteristic, complemented
136#4946C2211yescharacteristic
137#4946C2211yescharacteristic
138#4946C2211yescharacteristic
139#4946C2211yescharacteristic, complemented
140#4946C2211yescharacteristic, complemented
141#4946C2211yescharacteristic, complemented
142#4946C2211yescharacteristic, complemented
143#4945C2211yescharacteristic, complemented
144#4944C2211yescharacteristic, complemented
145#4942C2211yescharacteristic
146#4942C2211yescharacteristic
147#4942C2211yescharacteristic, complemented
148#4942C2211yescharacteristic, complemented
149#4942C2211yescharacteristic, complemented
150#4942C2211yescharacteristic, complemented
151Dic3×C22⋊C4C2211yescharacteristic
152#4940C2211yescharacteristic, complemented
153#4940C2211yescharacteristic, complemented
154#4940C2211yescharacteristic, complemented
155#4935C2211yescharacteristic, complemented
156#4928C2211yescharacteristic, complemented
157#4928C2211yescharacteristic, complemented
158#4677C2211yescharacteristic, complemented
159#4676C2211yescharacteristic, complemented
160#4676C2211yescharacteristic, complemented
161#4675C2211yescharacteristic, complemented
162#4675C2211yescharacteristic, complemented
163#4675C2211yescharacteristic, complemented
164#4675C2211yescharacteristic, complemented
165#4674C2211yescharacteristic, complemented
166#4673C2211yescharacteristic, complemented
167#4673C2211yescharacteristic, complemented
168#4670C2211yescharacteristic, complemented
169#4669C2211yescharacteristic, complemented
170#4668C2211yescharacteristic, complemented
171#4668C2211yescharacteristic, complemented
172#4668C2211yescharacteristic, complemented
173#4667C2211yescharacteristic, complemented
174#4661C2211yescharacteristic, complemented
175#4661C2211yescharacteristic, complemented
176#4661C2211yescharacteristic, complemented
177#4661C2211yescharacteristic, complemented
178#4659C2211yescharacteristic, complemented
179#4657C2211yescharacteristic, complemented
180#4657C2211yescharacteristic, complemented
181#4657C2211yescharacteristic, complemented
182#4656C2211yescharacteristic, complemented
183#4656C2211yescharacteristic, complemented
184#4656C2211yescharacteristic, complemented
185#4656C2211yescharacteristic, complemented
186#4655C2211yescharacteristic, complemented
187#4654C2211yescharacteristic, complemented
188#4653C2211yescharacteristic, complemented
189#4647C2211yescharacteristic, complemented
190C2×#563—31no—
191C22×#123—31no—
192#2848—31no—
193#2848—31no—
194#2814—31no—
195#2814—31no—
196#2724—31no—
197#2718—31no—
198#2718—31no—
199#2717—31no—
200#2707—31no—
201#2707—31no—
202#2695—31no—
203#2695—31no—
204#2680—31no—
205#2680—31no—
206#2674—31no—
207#2674—31no—
208#2480—31no—
209#2480—31no—
210#2480—31no—
211#2480D311yescharacteristic, complemented
212#2473—31no—
213#2473—31no—
214#2440—31no—
215#2440—31no—
216#2437—31no—
217#2437—31no—
218#2435—31no—
219#2405—31no—
220#2376—31no—
221C25×C3C2311yescharacteristic
222C24×D3C2311yescharacteristic
223C23×C3×C4C2311yescharacteristic
224C23×C3×C4C2311yescharacteristic
225C22×#67—24no—
226C22×#67—42no—
227C22×#67—42no—
228C22×#67C2311yescharacteristic
229C22×#67C2311yescharacteristic
230C22×#67C2311yescharacteristic
231C22×#67C2311yescharacteristic
232C23×Dic3—24no—
233C23×Dic3—42no—
234C23×Dic3—42no—
235C23×Dic3C2311yescharacteristic
236C23×Dic3C2311yescharacteristic
237C23×Dic3C2311yescharacteristic
238C23×Dic3C2311yescharacteristic
239C23×Dic3C2311yescharacteristic
240C23×Dic3C2311yescharacteristic
241C23×Dic3C2311yescharacteristic
242C22×C4×D3C2311yescharacteristic
243C22×C4×D3C2311yescharacteristic
244C22×Dic6C2311yescharacteristic
245C22×Dic6C2311yescharacteristic
246C22×Dic6C2311yescharacteristic
247C3×#126—24no—
248C2×C3×C4⋊C4C2311yescharacteristic
249C2×C3×C4⋊C4C2311yescharacteristic
250C2×C3×C4⋊C4C2311yescharacteristic
251C2×C3×C4⋊C4C2311yescharacteristic
252C2×C3×C4⋊C4C2311yescharacteristic
253C2×C3×C4⋊C4C2311yescharacteristic
254C2×C3×C22⋊C4—24no—
255C2×C3×C22⋊C4C2311yescharacteristic
256C2×C3×C22⋊C4C2311yescharacteristic
257C2×C3×C22⋊C4C2311yescharacteristic
258C2×C3×C22⋊C4C2311yescharacteristic
259C2×C3×C22⋊C4C2311yescharacteristic
260C2×C3×C22⋊C4C2311yescharacteristic
261C2×C3×C22⋊C4C2311yescharacteristic
262C2×C3×C22⋊C4C2311yescharacteristic
263C2×C3×C22⋊C4C2311yescharacteristic
264C2×C3×C22⋊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×C42C2311yescharacteristic
272C2×C3×C42C2311yescharacteristic
273C2×#217C2311yescharacteristic
274C2×#217C2311yescharacteristic
275C2×#217C2311yescharacteristic
276C2×#217C2311yescharacteristic
277C2×#217C2311yescharacteristic
278C2×#217C2311yescharacteristic
279C2×#217C2311yescharacteristic
280C2×#217C2311yescharacteristic
281C2×#217C2311yescharacteristic
282C2×#217C2311yescharacteristic
283C2×#217C2311yescharacteristic
284C2×#217C2311yescharacteristic
285C2×(C2×D3)⋊C4—24no—
286C2×(C2×D3)⋊C4—24no—
287C2×(C2×D3)⋊C4C2311yescharacteristic
288C2×(C2×D3)⋊C4C2311yescharacteristic
289C2×(C2×D3)⋊C4C2311yescharacteristic
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×C4⋊Dic3—24no—
310C2×C4⋊Dic3—24no—
311C2×C4⋊Dic3C2311yescharacteristic
312C2×C4⋊Dic3C2311yescharacteristic
313C2×C4⋊Dic3C2311yescharacteristic
314C2×C4⋊Dic3C2311yescharacteristic
315C2×C4⋊Dic3C2311yescharacteristic
316C2×C4⋊Dic3C2311yescharacteristic
317C2×C4⋊Dic3C2311yescharacteristic
318C2×C4⋊Dic3C2311yescharacteristic
319C2×C4⋊Dic3C2311yescharacteristic
320C2×C4⋊Dic3C2311yescharacteristic
321C2×C4⋊Dic3C2311yescharacteristic
322C2×C4⋊Dic3C2311yescharacteristic
323C2×C4⋊Dic3C2311yescharacteristic
324C2×C4⋊Dic3C2311yescharacteristic
325C2×C4⋊Dic3C2311yescharacteristic
326C2×C4⋊Dic3C2311yescharacteristic
327C2×C4⋊Dic3C2311yescharacteristic
328C2×C4⋊Dic3C2311yescharacteristic
329C2×C4⋊Dic3C2311yescharacteristic
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×Dic3⋊C4C2311yescharacteristic
344C2×Dic3⋊C4C2311yescharacteristic
345C2×Dic3⋊C4C2311yescharacteristic
346C2×Dic3⋊C4C2311yescharacteristic
347C2×Dic3⋊C4C2311yescharacteristic
348C2×Dic3⋊C4C2311yescharacteristic
349C2×Dic3⋊C4C2311yescharacteristic
350C2×C4×Dic3C2311yescharacteristic
351C2×C4×Dic3C2311yescharacteristic
352C2×C4×Dic3C2311yescharacteristic
353C2×C4×Dic3C2311yescharacteristic
354#898—24no—
355#897—24no—
356#896—24no—
357#890—24no—
358#889—24no—
359#888—24no—
360#886—24no—
361#886—24no—
362#886—24no—
363#886—24no—
364#886—24no—
365#886—24no—
366#886—24no—
367#886D418yes—
368#885—24no—
369#885—42no—
370#883—24no—
371#883—42no—
372D3×C22⋊C4—42no—
373#879—24no—
374#878—24no—
375#878—24no—
376#878—42no—
377#878—42no—
378#878—42no—
379#878—42no—
380#878—42no—
381#876—24no—
382#869—24no—
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
417C23×D4—31no—
418C24×C4—31no—
419#563—68no—
420C2×C4⋊Q8—31no—
421C2×C4⋊Q8—31no—
422C2×#126—31no—
423C2×#126—31no—
424C2×#126—31no—
425C2×#126C2×D311yescharacteristic, complemented
426C2×#125—31no—
427C2×#125—31no—
428C2×#124—31no—
429C2×#124—31no—
430C2×#123—31no—
431C2×#123—31no—
432C2×#123—31no—
433C2×#123—31no—
434C2×#123—31no—
435C2×#123—31no—
436C2×#123—31no—
437C2×#123—31no—
438C2×#123—31no—
439C2×#123—31no—
440C2×#123—68no—
441C2×C22⋊Q8—31no—
442C2×C22⋊Q8—31no—
443C2×C22⋊Q8—31no—
444C2×C22⋊Q8—31no—
445C2×C22⋊Q8—31no—
446C2×C22⋊Q8—31no—
447C2×C22⋊Q8—31no—
448C2×C22⋊Q8—31no—
449C2×C22⋊Q8—31no—
450C22×C4⋊C4—31no—
451C22×C4⋊C4—31no—
452C22×C22⋊C4—31no—
453C22×C22⋊C4—31no—
454C22×C22⋊C4—31no—
455C22×C22⋊C4C2×D311yescharacteristic
456#400—31no—
457#400—31no—
458#399—31no—
459#399—31no—
460#398—31no—
461#398—31no—
462#398—31no—
463#398—31no—
464#398—31no—
465#398—31no—
466#398—31no—
467#398—31no—
468#398—31no—
469#398—31no—
470#397—31no—
471#397—31no—
472#397—31no—
473#397—31no—
474#397—31no—
475#397—31no—
476#397—31no—
477#397—31no—
478#397—31no—
479#397C2×D311yescharacteristic, complemented
480#397C2×D311yescharacteristic, complemented
481#397C2×D311yescharacteristic, complemented
482#396—31no—
483#396—31no—
484#396—31no—
485#396—31no—
486#396—31no—
487#396—31no—
488#396—31no—
489#396C2×D311yescharacteristic, complemented
490#395—31no—
491#395—31no—
492#395—31no—
493#395—31no—
494#394—31no—
495#394—31no—
496#394—31no—
497#394—31no—
498#394—31no—
499#394—31no—
500#394—31no—
501#394—31no—
502#393—31no—
503#393—31no—
504#390—31no—
505#390—31no—
506#389—31no—
507#389—31no—
508#389—31no—
509#389—31no—
510#389—31no—
511#389—31no—
512#388—31no—
513#388—31no—
514#388—31no—
515#388—31no—
516#388—31no—
517#388—31no—
518#388—31no—
519#388—31no—
520#388—31no—
521#388C2×D311yescharacteristic, complemented
522#388C2×D311yescharacteristic, complemented
523#388C2×D311yescharacteristic, complemented
524#387—31no—
525#387—31no—
526#387—31no—
527#387—31no—
528#386—31no—
529#386—31no—
530#385—31no—
531#385—31no—
532#385—31no—
533#385—31no—
534#385—31no—
535#385—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#385—31no—
545#385—31no—
546#385—31no—
547#385—31no—
548#385—31no—
549#385—31no—
550#385C2×D311yescharacteristic
551#385C2×D311yescharacteristic
552#384—31no—
553#384—31no—
554#380—31no—
555#380—31no—
556#380—31no—
557#380—31no—
558#380—31no—
559#380—31no—
560#380—31no—
561#380—31no—
562#380—31no—
563#380C2×D311yescharacteristic
564#379—31no—
565#379—31no—
566#379—31no—
567#379—31no—
568#379—31no—
569#379C2×D311yescharacteristic
570#379C2×D311yescharacteristic
571C4×C22⋊C4—31no—
572C4×C22⋊C4—31no—
573C4×C22⋊C4C2×D311yescharacteristic
574C24×C3—22no—
575C24×C3—22no—
576C24×C3—22no—
577C24×C3—22no—
578C24×C3—22no—
579C24×C3—41no—
580C24×C3—41no—
581C24×C3C2411yescharacteristic
582C24×C3C2411yescharacteristic
583C24×C3C2411yescharacteristic
584C23×D3—22no—
585C23×D3—22no—
586C23×D3—22no—
587C23×D3—22no—
588C23×D3—41no—
589C23×D3—41no—
590C23×D3—41no—
591C23×D3C2411yescharacteristic
592C23×D3C2411yescharacteristic
593C22×C3×C4—22no—
594C22×C3×C4—22no—
595C22×C3×C4—22no—
596C22×C3×C4—22no—
597C22×C3×C4—41no—
598C22×C3×C4—41no—
599C22×C3×C4C2411yescharacteristic
600C22×C3×C4C2411yescharacteristic
601C22×C3×C4C2411yescharacteristic
602C22×C3×C4C2411yescharacteristic
603C22×C3×C4C2411yescharacteristic
604C22×C3×C4C2411yescharacteristic
605C22×C3×C4C2411yescharacteristic
606C22×C3×C4C2411yescharacteristic
607C22×C3×C4C2411yescharacteristic
608C22×C3×C4C2411yescharacteristic
609C22×C3×C4C2411yescharacteristic
610C22×C3×C4C2411yescharacteristic
611C2×#67—22no—
612C2×#67—22no—
613C2×#67—22no—
614C2×#67—22no—
615C2×#67—22no—
616C2×#67—41no—
617C2×#67—41no—
618C2×#67—41no—
619C2×#67—41no—
620C2×#67—41no—
621C2×#67—41no—
622C2×#67—416no—
623C2×#67C2×D414yes—
624C22×Dic3—22no—
625C22×Dic3—22no—
626C22×Dic3—22no—
627C22×Dic3—22no—
628C22×Dic3—22no—
629C22×Dic3—22no—
630C22×Dic3—22no—
631C22×Dic3—22no—
632C22×Dic3—22no—
633C22×Dic3—22no—
634C22×Dic3—22no—
635C22×Dic3—41no—
636C22×Dic3—41no—
637C22×Dic3—41no—
638C22×Dic3—41no—
639C22×Dic3—41no—
640C22×Dic3—41no—
641C22×Dic3—41no—
642C22×Dic3—41no—
643C22×Dic3—41no—
644C22×Dic3—416no—
645C22×Dic3C2×D414yes—
646C22×Dic3C2411yescharacteristic
647C22×Dic3C2411yescharacteristic
648C22×Dic3C2411yescharacteristic
649C22×Dic3C2411yescharacteristic
650C22×Dic3C2411yescharacteristic
651C22×Dic3C2411yescharacteristic
652C22×Dic3C2411yescharacteristic
653C22×Dic3C2411yescharacteristic
654C22×Dic3C2411yescharacteristic
655C22×Dic3C2411yescharacteristic
656C22×Dic3C2411yescharacteristic
657C22×Dic3C2411yescharacteristic
658C22×Dic3C2411yescharacteristic
659C22×Dic3C2411yescharacteristic
660C2×C4×D3—22no—
661C2×C4×D3—41no—
662C2×C4×D3—41no—
663C2×C4×D3—41no—
664C2×C4×D3—41no—
665C2×C4×D3—41no—
666C2×Dic6—22no—
667C2×Dic6—22no—
668C2×Dic6—22no—
669C2×Dic6—41no—
670C2×Dic6—41no—
671C2×Dic6—41no—
672C2×Dic6—41no—
673C2×Dic6—41no—
674C2×Dic6—41no—
675C3×C4⋊C4—22no—
676C3×C4⋊C4—22no—
677C3×C4⋊C4—22no—
678C3×C4⋊C4—41no—
679C3×C4⋊C4—41no—
680C3×C4⋊C4—41no—
681C3×C22⋊C4—22no—
682C3×C22⋊C4—22no—
683C3×C22⋊C4—22no—
684C3×C22⋊C4—22no—
685C3×C22⋊C4—22no—
686C3×C22⋊C4—22no—
687C3×C22⋊C4—22no—
688C3×C22⋊C4—22no—
689C3×C22⋊C4—22no—
690C3×C22⋊C4—22no—
691C3×C22⋊C4—22no—
692C3×C22⋊C4—41no—
693C3×C22⋊C4—41no—
694C3×C22⋊C4—41no—
695C3×C22⋊C4—41no—
696C3×C22⋊C4C2×D414yes—
697C3×C42—22no—
698C3×C42—41no—
699#217—22no—
700#217—22no—
701#217—22no—
702#217—22no—
703#217—22no—
704#217—22no—
705#217—22no—
706#217—22no—
707#217—41no—
708#217—41no—
709#217—41no—
710#217—41no—
711(C2×D3)⋊C4—22no—
712(C2×D3)⋊C4—22no—
713(C2×D3)⋊C4—22no—
714(C2×D3)⋊C4—22no—
715(C2×D3)⋊C4—22no—
716(C2×D3)⋊C4—22no—
717(C2×D3)⋊C4—22no—
718(C2×D3)⋊C4—22no—
719(C2×D3)⋊C4—22no—
720(C2×D3)⋊C4—41no—
721(C2×D3)⋊C4—41no—
722(C2×D3)⋊C4—41no—
723(C2×D3)⋊C4—41no—
724(C2×D3)⋊C4—41no—
725(C2×D3)⋊C4—41no—
726(C2×D3)⋊C4—41no—
727(C2×D3)⋊C4—41no—
728(C2×D3)⋊C4—41no—
729(C2×D3)⋊C4—41no—
730(C2×D3)⋊C4—41no—
731(C2×D3)⋊C4C2×D414yes—
732(C2×D3)⋊C4C2×D414yes—
733C4⋊Dic3—22no—
734C4⋊Dic3—22no—
735C4⋊Dic3—22no—
736C4⋊Dic3—22no—
737C4⋊Dic3—22no—
738C4⋊Dic3—22no—
739C4⋊Dic3—22no—
740C4⋊Dic3—22no—
741C4⋊Dic3—22no—
742C4⋊Dic3—22no—
743C4⋊Dic3—41no—
744C4⋊Dic3—41no—
745C4⋊Dic3—41no—
746C4⋊Dic3—41no—
747C4⋊Dic3—41no—
748C4⋊Dic3—41no—
749C4⋊Dic3—41no—
750C4⋊Dic3C2×D414yes—
751C4⋊Dic3C2×D414yes—
752Dic3⋊C4—22no—
753Dic3⋊C4—22no—
754Dic3⋊C4—22no—
755Dic3⋊C4—22no—
756Dic3⋊C4—22no—
757Dic3⋊C4—22no—
758Dic3⋊C4—22no—
759Dic3⋊C4—41no—
760Dic3⋊C4—41no—
761Dic3⋊C4—41no—
762Dic3⋊C4—41no—
763Dic3⋊C4—41no—
764Dic3⋊C4—41no—
765Dic3⋊C4—41no—
766Dic3⋊C4—41no—
767Dic3⋊C4—41no—
768Dic3⋊C4—41no—
769Dic3⋊C4—41no—
770Dic3⋊C4—41no—
771Dic3⋊C4—41no—
772C4×Dic3—22no—
773C4×Dic3—22no—
774C4×Dic3—41no—
775C4×Dic3—41no—
776C25—31no—
777C25C22×D311yescharacteristic
778C22×Q8—31no—
779C22×Q8—31no—
780C22×Q8—31no—
781C22×D4—31no—
782C22×D4—31no—
783C22×D4—31no—
784C22×D4—31no—
785C22×D4—64no—
786C22×D4—122no—
787C22×D4—122no—
788C23×C4—31no—
789C23×C4—31no—
790C23×C4—31no—
791C23×C4—31no—
792C23×C4—31no—
793C23×C4—31no—
794C23×C4—31no—
795C23×C4—31no—
796C23×C4—31no—
797C23×C4—64no—
798C23×C4—122no—
799C23×C4—122no—
800C23×C4C22×D311yescharacteristic
801C23×C4C22×D311yescharacteristic
802C4⋊Q8—64no—
803C4⋊Q8—64no—
804#126—24no—
805#126—64no—
806#126—64no—
807#126—64no—
808#125—64no—
809#125—64no—
810#124—64no—
811#124—122no—
812#123—38no—
813#123—64no—
814#123—64no—
815#123—64no—
816#123—64no—
817#123—64no—
818#123—64no—
819#123—64no—
820#123—64no—
821#123—122no—
822C22⋊Q8—64no—
823C22⋊Q8—64no—
824C22⋊Q8—64no—
825C22⋊Q8—64no—
826C22⋊Q8—122no—
827C22⋊Q8—122no—
828C22⋊Q8—122no—
829C22⋊Q8—122no—
830C22⋊Q8—122no—
831C2×C4⋊C4—31no—
832C2×C4⋊C4—31no—
833C2×C4⋊C4—31no—
834C2×C4⋊C4—31no—
835C2×C4⋊C4—31no—
836C2×C4⋊C4—31no—
837C2×C4⋊C4—31no—
838C2×C4⋊C4—31no—
839C2×C4⋊C4—31no—
840C2×C4⋊C4—31no—
841C2×C4⋊C4—31no—
842C2×C4⋊C4—31no—
843C2×C4⋊C4—31no—
844C2×C4⋊C4—31no—
845C2×C4⋊C4—31no—
846C2×C4⋊C4—31no—
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—31no—
866C2×C4⋊C4—31no—
867C2×C4⋊C4—31no—
868C2×C4⋊C4—31no—
869C2×C4⋊C4—31no—
870C2×C4⋊C4—64no—
871C2×C4⋊C4—64no—
872C2×C4⋊C4C22×D311yescharacteristic
873C2×C4⋊C4C22×D311yescharacteristic
874C2×C4⋊C4C22×D311yescharacteristic
875C2×C4⋊C4C22×D311yescharacteristic
876C2×C4⋊C4C22×D311yescharacteristic
877C2×C4⋊C4C22×D311yescharacteristic
878C2×C22⋊C4—24no—
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—64no—
914C2×C22⋊C4—64no—
915C2×C22⋊C4—122no—
916C2×C22⋊C4C22×D311yescharacteristic
917C2×C22⋊C4C22×D311yescharacteristic
918C2×C22⋊C4C22×D311yescharacteristic
919C2×C22⋊C4C22×D311yescharacteristic
920C2×C22⋊C4C22×D311yescharacteristic
921C2×C22⋊C4C22×D311yescharacteristic
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×C42C22×D311yescharacteristic
937C2×C42C22×D311yescharacteristic
938#95—31no—
939#95—31no—
940#95—31no—
941#95—31no—
942#95—31no—
943#95—31no—
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#95C22×D311yescharacteristic
965#95C22×D311yescharacteristic
966#95C22×D311yescharacteristic
967#95C22×D311yescharacteristic
968#95C22×D311yescharacteristic
969#95C22×D311yescharacteristic
970#95C22×D311yescharacteristic
971#95C22×D311yescharacteristic
972C23×C3—21no—
973C23×C3—21no—
974C23×C3—21no—
975C23×C3—21no—
976C23×C3—28no—
977C23×C3—21no—
978C23×C3—21no—
979C23×C3—21no—
980C23×C3—21no—
981C23×C3—21no—
982C23×C3—21no—
983C23×C3—21no—
984C23×C3—21no—
985C23×C3—21no—
986C23×C3—21no—
987C23×C3—21no—
988C23×C3—21no—
989C23×C3—44no—
990C23×C3—44no—
991C23×C3—44no—
992C23×C3—44no—
993C23×C3—44no—
994C23×C3—44no—
995C23×C3C22×D412yes—
996C23×C3H(5,𝔽2)12yes—
997C23×C3H(5,𝔽2)12yes—
998C23×C32−1+412yes—
999C23×C32−1+412yes—
1000C23×C3C2511yescharacteristic
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—44no—
1015C22×D3—44no—
1016C22×D3—44no—
1017C22×D3—44no—
1018C22×D3—82no—
1019C22×D3—82no—
1020C22×D3—82no—
1021C22×D3C22×D412yes—
1022C2×C3×C4—21no—
1023C2×C3×C4—21no—
1024C2×C3×C4—21no—
1025C2×C3×C4—21no—
1026C2×C3×C4—21no—
1027C2×C3×C4—21no—
1028C2×C3×C4—21no—
1029C2×C3×C4—21no—
1030C2×C3×C4—21no—
1031C2×C3×C4—21no—
1032C2×C3×C4—21no—
1033C2×C3×C4—21no—
1034C2×C3×C4—21no—
1035C2×C3×C4—21no—
1036C2×C3×C4—21no—
1037C2×C3×C4—21no—
1038C2×C3×C4—21no—
1039C2×C3×C4—21no—
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—44no—
1057C2×C3×C4—44no—
1058C2×C3×C4C22×D412yes—
1059C2×C3×C4C22×D412yes—
1060#67—44no—
1061#67—44no—
1062#67—44no—
1063#67—44no—
1064C2×Dic3—21no—
1065C2×Dic3—21no—
1066C2×Dic3—21no—
1067C2×Dic3—21no—
1068C2×Dic3—21no—
1069C2×Dic3—21no—
1070C2×Dic3—21no—
1071C2×Dic3—21no—
1072C2×Dic3—21no—
1073C2×Dic3—21no—
1074C2×Dic3—21no—
1075C2×Dic3—21no—
1076C2×Dic3—21no—
1077C2×Dic3—21no—
1078C2×Dic3—21no—
1079C2×Dic3—21no—
1080C2×Dic3—21no—
1081C2×Dic3—21no—
1082C2×Dic3—21no—
1083C2×Dic3—21no—
1084C2×Dic3—21no—
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—44no—
1104C2×Dic3—44no—
1105C2×Dic3—44no—
1106C2×Dic3—44no—
1107C2×Dic3—44no—
1108C2×Dic3—44no—
1109C2×Dic3—44no—
1110C2×Dic3C22×D412yes—
1111C2×Dic3C22×D412yes—
1112C2×Dic3C22×D412yes—
1113C4×D3—82no—
1114C4×D3—82no—
1115Dic6—82no—
1116Dic6—82no—
1117Dic6—82no—
1118C24—22no—
1119C24—22no—
1120C24—22no—
1121C24—22no—
1122C24—22no—
1123C24—31no—
1124C24—31no—
1125C24—41no—
1126C24—41no—
1127C24—62no—
1128C24—62no—
1129C24—62no—
1130C24—62no—
1131C24—121no—
1132C24—121no—
1133C24—121no—
1134C24C23×D311yescharacteristic
1135C24C23×D311yescharacteristic
1136C24C23×D311yescharacteristic
1137C2×Q8—62no—
1138C2×Q8—62no—
1139C2×Q8—62no—
1140C2×Q8—121no—
1141C2×Q8—121no—
1142C2×Q8—121no—
1143C2×Q8—121no—
1144C2×Q8—121no—
1145C2×Q8—121no—
1146C2×D4—34no—
1147C2×D4—62no—
1148C2×D4—62no—
1149C2×D4—62no—
1150C2×D4—62no—
1151C2×D4—62no—
1152C2×D4—121no—
1153C2×D4—121no—
1154C2×D4—121no—
1155C2×D4—121no—
1156C2×D4—121no—
1157C2×D4—121no—
1158C2×D4—1216no—
1159C22×C4—22no—
1160C22×C4—22no—
1161C22×C4—22no—
1162C22×C4—22no—
1163C22×C4—31no—
1164C22×C4—31no—
1165C22×C4—31no—
1166C22×C4—34no—
1167C22×C4—31no—
1168C22×C4—31no—
1169C22×C4—31no—
1170C22×C4—31no—
1171C22×C4—31no—
1172C22×C4—31no—
1173C22×C4—31no—
1174C22×C4—31no—
1175C22×C4—31no—
1176C22×C4—31no—
1177C22×C4—31no—
1178C22×C4—41no—
1179C22×C4—41no—
1180C22×C4—62no—
1181C22×C4—62no—
1182C22×C4—62no—
1183C22×C4—62no—
1184C22×C4—62no—
1185C22×C4—62no—
1186C22×C4—62no—
1187C22×C4—62no—
1188C22×C4—62no—
1189C22×C4—62no—
1190C22×C4—62no—
1191C22×C4—62no—
1192C22×C4—121no—
1193C22×C4—121no—
1194C22×C4—121no—
1195C22×C4—121no—
1196C22×C4—121no—
1197C22×C4—121no—
1198C22×C4—121no—
1199C22×C4—121no—
1200C22×C4—121no—
1201C22×C4—121no—
1202C22×C4—121no—
1203C22×C4—121no—
1204C22×C4—121no—
1205C22×C4—121no—
1206C22×C4—1216no—
1207C22×C4C23×D311yescharacteristic
1208C22×C4C23×D311yescharacteristic
1209C22×C4C23×D311yescharacteristic
1210C22×C4C23×D311yescharacteristic
1211C22×C4C23×D311yescharacteristic
1212C22×C4C23×D311yescharacteristic
1213C22×C4C23×D311yescharacteristic
1214C22×C4C23×D311yescharacteristic
1215C22×C4C23×D311yescharacteristic
1216C22×C4C23×D311yescharacteristic
1217C22×C4C23×D311yescharacteristic
1218C22×C4C23×D311yescharacteristic
1219C4⋊C4—22no—
1220C4⋊C4—22no—
1221C4⋊C4—22no—
1222C4⋊C4—34no—
1223C4⋊C4—34no—
1224C4⋊C4—41no—
1225C4⋊C4—41no—
1226C4⋊C4—41no—
1227C4⋊C4—62no—
1228C4⋊C4—62no—
1229C4⋊C4—62no—
1230C4⋊C4—62no—
1231C4⋊C4—62no—
1232C4⋊C4—62no—
1233C4⋊C4—62no—
1234C4⋊C4—62no—
1235C4⋊C4—62no—
1236C4⋊C4—62no—
1237C4⋊C4—62no—
1238C4⋊C4—62no—
1239C4⋊C4—62no—
1240C4⋊C4—62no—
1241C4⋊C4—62no—
1242C4⋊C4—62no—
1243C4⋊C4—62no—
1244C4⋊C4—121no—
1245C4⋊C4—121no—
1246C4⋊C4—121no—
1247C4⋊C4—121no—
1248C4⋊C4—121no—
1249C4⋊C4—121no—
1250C4⋊C4—121no—
1251C4⋊C4—121no—
1252C4⋊C4—121no—
1253C4⋊C4—121no—
1254C4⋊C4—121no—
1255C4⋊C4—121no—
1256C4⋊C4—121no—
1257C4⋊C4—121no—
1258C4⋊C4—121no—
1259C4⋊C4—121no—
1260C4⋊C4—121no—
1261C4⋊C4—121no—
1262C4⋊C4—121no—
1263C4⋊C4—121no—
1264C22⋊C4—22no—
1265C22⋊C4—22no—
1266C22⋊C4—22no—
1267C22⋊C4—22no—
1268C22⋊C4—22no—
1269C22⋊C4—22no—
1270C22⋊C4—22no—
1271C22⋊C4—22no—
1272C22⋊C4—22no—
1273C22⋊C4—22no—
1274C22⋊C4—22no—
1275C22⋊C4—34no—
1276C22⋊C4—34no—
1277C22⋊C4—41no—
1278C22⋊C4—41no—
1279C22⋊C4—41no—
1280C22⋊C4—41no—
1281C22⋊C4—62no—
1282C22⋊C4—62no—
1283C22⋊C4—62no—
1284C22⋊C4—62no—
1285C22⋊C4—62no—
1286C22⋊C4—62no—
1287C22⋊C4—62no—
1288C22⋊C4—62no—
1289C22⋊C4—62no—
1290C22⋊C4—62no—
1291C22⋊C4—62no—
1292C22⋊C4—62no—
1293C22⋊C4—62no—
1294C22⋊C4—62no—
1295C22⋊C4—62no—
1296C22⋊C4—62no—
1297C22⋊C4—62no—
1298C22⋊C4—121no—
1299C22⋊C4—121no—
1300C22⋊C4—121no—
1301C22⋊C4—121no—
1302C22⋊C4—121no—
1303C22⋊C4—121no—
1304C22⋊C4—121no—
1305C22⋊C4—121no—
1306C22⋊C4—121no—
1307C22⋊C4—121no—
1308C22⋊C4—121no—
1309C22⋊C4—121no—
1310C22⋊C4—121no—
1311C22⋊C4—121no—
1312C22⋊C4—121no—
1313C22⋊C4D3×D414yes—
1314C42—22no—
1315C42—41no—
1316C42—62no—
1317C42—62no—
1318C42—121no—
1319C42—121no—
1320C22×C3—22no—
1321C22×C3—22no—
1322C22×C3—22no—
1323C22×C3—22no—
1324C22×C3—22no—
1325C22×C3—22no—
1326C22×C3—22no—
1327C22×C3—22no—
1328C22×C3—22no—
1329C22×C3—22no—
1330C22×C3—22no—
1331C22×C3—22no—
1332C22×C3—416no—
1333C22×C3—41no—
1334C22×C3—41no—
1335C22×C3—41no—
1336C22×C3—41no—
1337C22×C3—41no—
1338C22×C3—41no—
1339C22×C3—41no—
1340C22×C3—41no—
1341C22×C3#56314yescomplemented
1342C22×C3C23×D411yescharacteristic
1343C22×C3C2×H(5,𝔽2)11yescharacteristic
1344C22×C3C2×H(5,𝔽2)11yescharacteristic
1345C22×C3C2×2−1+411yescharacteristic
1346C22×C3C2×2−1+411yescharacteristic
1347C22×C3#58511yescharacteristic
1348C22×C3#58511yescharacteristic
1349C2×D3—22no—
1350C2×D3—22no—
1351C2×D3—22no—
1352C2×D3—41no—
1353C2×D3—41no—
1354C2×D3—41no—
1355C2×D3—41no—
1356C2×D3—41no—
1357C2×D3—41no—
1358C2×D3—41no—
1359C2×D3—41no—
1360C2×D3—41no—
1361C2×D3—41no—
1362C2×D3—41no—
1363C2×D3—88no—
1364C3×C4—22no—
1365C3×C4—22no—
1366C3×C4—41no—
1367C3×C4—41no—
1368C3×C4—41no—
1369C3×C4—41no—
1370C3×C4—41no—
1371C3×C4—41no—
1372C3×C4—41no—
1373C3×C4—41no—
1374C3×C4—41no—
1375C3×C4—41no—
1376Dic3—22no—
1377Dic3—22no—
1378Dic3—22no—
1379Dic3—41no—
1380Dic3—41no—
1381Dic3—41no—
1382Dic3—41no—
1383Dic3—41no—
1384Dic3—41no—
1385Dic3—41no—
1386Dic3—41no—
1387Dic3—41no—
1388Dic3—41no—
1389Dic3—41no—
1390C23—21no—
1391C23—21no—
1392C23—21no—
1393C23—21no—
1394C23—28no—
1395C23—21no—
1396C23—21no—
1397C23—21no—
1398C23—21no—
1399C23—21no—
1400C23—21no—
1401C23—21no—
1402C23—21no—
1403C23—21no—
1404C23—21no—
1405C23—21no—
1406C23—21no—
1407C23—32no—
1408C23—44no—
1409C23—44no—
1410C23—44no—
1411C23—44no—
1412C23—44no—
1413C23—44no—
1414C23—61no—
1415C23—61no—
1416C23—61no—
1417C23—61no—
1418C23—61no—
1419C23—61no—
1420C23—61no—
1421C23—61no—
1422C23—61no—
1423C23—61no—
1424C23—61no—
1425C23—61no—
1426C23—61no—
1427C23—124no—
1428C23—124no—
1429C23—124no—
1430C23—124no—
1431C23—242no—
1432C23—242no—
1433C23—242no—
1434C23C2×D3×D412yes—
1435C23#100912yes—
1436C23#100912yes—
1437C23#101012yes—
1438C23#101012yes—
1439C23C24×D311yescharacteristic
1440Q8—242no—
1441Q8—242no—
1442Q8—242no—
1443D4—124no—
1444D4—124no—
1445D4—124no—
1446D4—124no—
1447C2×C4—21no—
1448C2×C4—21no—
1449C2×C4—21no—
1450C2×C4—21no—
1451C2×C4—21no—
1452C2×C4—21no—
1453C2×C4—21no—
1454C2×C4—21no—
1455C2×C4—21no—
1456C2×C4—21no—
1457C2×C4—21no—
1458C2×C4—21no—
1459C2×C4—21no—
1460C2×C4—21no—
1461C2×C4—21no—
1462C2×C4—21no—
1463C2×C4—21no—
1464C2×C4—21no—
1465C2×C4—21no—
1466C2×C4—21no—
1467C2×C4—21no—
1468C2×C4—21no—
1469C2×C4—21no—
1470C2×C4—21no—
1471C2×C4—21no—
1472C2×C4—21no—
1473C2×C4—21no—
1474C2×C4—21no—
1475C2×C4—21no—
1476C2×C4—21no—
1477C2×C4—21no—
1478C2×C4—21no—
1479C2×C4—21no—
1480C2×C4—21no—
1481C2×C4—32no—
1482C2×C4—32no—
1483C2×C4—32no—
1484C2×C4—44no—
1485C2×C4—44no—
1486C2×C4—61no—
1487C2×C4—61no—
1488C2×C4—61no—
1489C2×C4—61no—
1490C2×C4—61no—
1491C2×C4—61no—
1492C2×C4—61no—
1493C2×C4—61no—
1494C2×C4—61no—
1495C2×C4—61no—
1496C2×C4—61no—
1497C2×C4—61no—
1498C2×C4—61no—
1499C2×C4—61no—
1500C2×C4—61no—
1501C2×C4—61no—
1502C2×C4—61no—
1503C2×C4—61no—
1504C2×C4—61no—
1505C2×C4—61no—
1506C2×C4—61no—
1507C2×C4—61no—
1508C2×C4—61no—
1509C2×C4—61no—
1510C2×C4—61no—
1511C2×C4—61no—
1512C2×C4—61no—
1513C2×C4—61no—
1514C2×C4—61no—
1515C2×C4—61no—
1516C2×C4—61no—
1517C2×C4—61no—
1518C2×C4—61no—
1519C2×C4—61no—
1520C2×C4—61no—
1521C2×C4—61no—
1522C2×C4—61no—
1523C2×C4—61no—
1524C2×C4—61no—
1525C2×C4—124no—
1526C2×C4—124no—
1527C2×C4—124no—
1528C2×C4—124no—
1529C2×C4—124no—
1530C2×C4—124no—
1531C2×C4—124no—
1532C2×C4—242no—
1533C2×C4—242no—
1534C2×C4C2×D3×D412yes—
1535C2×C4C2×D3×D412yes—
1536C2×C3—24no—
1537C2×C3—42no—
1538C2×C3—42no—
1539C2×C3#348411yescharacteristic
1540C2×C3#348911yescharacteristic
1541C2×C3#348911yescharacteristic
1542C2×C3C2×#56311yescharacteristic
1543C2×C3#353311yescharacteristic
1544C2×C3#353511yescharacteristic
1545C2×C3#353511yescharacteristic
1546D3—42no—
1547D3—81no—
1548C22—22no—
1549C22—22no—
1550C22—22no—
1551C22—22no—
1552C22—22no—
1553C22—22no—
1554C22—22no—
1555C22—22no—
1556C22—22no—
1557C22—22no—
1558C22—22no—
1559C22—22no—
1560C22—416no—
1561C22—41no—
1562C22—41no—
1563C22—41no—
1564C22—41no—
1565C22—41no—
1566C22—41no—
1567C22—41no—
1568C22—41no—
1569C22—62no—
1570C22—62no—
1571C22—62no—
1572C22—121no—
1573C22—121no—
1574C22—121no—
1575C22—121no—
1576C22—121no—
1577C22—121no—
1578C22—121no—
1579C22—121no—
1580C22—121no—
1581C22—121no—
1582C22—121no—
1583C22—248no—
1584C22#571214yescomplemented
1585C22C22×D3×D411yescharacteristic
1586C22C2×#100911yescharacteristic
1587C22C2×#100911yescharacteristic
1588C22C2×#101011yescharacteristic
1589C22C2×#101011yescharacteristic
1590C22#596611yescharacteristic
1591C22#596611yescharacteristic
1592C4—22no—
1593C4—22no—
1594C4—41no—
1595C4—41no—
1596C4—41no—
1597C4—41no—
1598C4—41no—
1599C4—41no—
1600C4—41no—
1601C4—41no—
1602C4—41no—
1603C4—41no—
1604C4—62no—
1605C4—62no—
1606C4—62no—
1607C4—121no—
1608C4—121no—
1609C4—121no—
1610C4—121no—
1611C4—121no—
1612C4—121no—
1613C4—121no—
1614C4—121no—
1615C4—121no—
1616C4—121no—
1617C4—121no—
1618C3#4545611yescharacteristic, complemented, Sylow
1619C2—24no—
1620C2—42no—
1621C2—42no—
1622C2—122no—
1623C2—241no—
1624C2#8603911yescharacteristic
1625C2C2×#571211yescharacteristic
1626C2#8639411yescharacteristic
1627C2#8663011yescharacteristic
1628C2#8663011yescharacteristic
1629C2#8680211yescharacteristic
1630C2#8680211yescharacteristic
subgroupG/H
center, FrattiniC23C24×D3
commutator, socle, cosocleC23×C3C25
FittingC3×#2480C2
prime radicalC23×#67C22
hypercenter#2480D3
hypocenterC3#45456
LCSG ▷ C23×C3 ▷ C3
UCSC1 ◁ C23 ◁ #2480

Complements

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

NH ≅ G/Ntype
1. C2×#5712C2semidirect
3. C3×#2480C2semidirect
4. #83097C2semidirect
5. #82112C2semidirect
6. #77727C2semidirect
7. #77727C2semidirect
8. #77595C2semidirect
9. #77589C2semidirect
10. #77568C2semidirect
11. #77567C2semidirect
12. #77358C2semidirect
13. #77350C2semidirect
14. #75696C2semidirect
15. #75689C2semidirect
16. #75676C2semidirect
17. #75668C2semidirect
18. #75666C2semidirect
19. #75489C2semidirect
20. #74452C2semidirect
21. #74442C2semidirect
22. #74441C2semidirect
23. #74413C2semidirect
24. #73899C2semidirect
25. #73896C2semidirect
27. #73846C2semidirect
28. #73846C2semidirect
30. #73596C2semidirect
31. #73493C2semidirect
35. C2×C3×#126C22semidirect
42. C2×#898C22semidirect
43. C2×#897C22semidirect
44. C2×#896C22semidirect
45. C2×#890C22semidirect
46. C2×#889C22semidirect
47. C2×#888C22semidirect
62. C2×#879C22semidirect
66. C2×#878C22semidirect
67. C2×#878C22semidirect
68. C2×#878C22semidirect
69. C2×#878C22semidirect
70. C2×#876C22semidirect
71. C2×#869C22semidirect
72. C3×#397C22semidirect
73. C3×#397C22semidirect
74. C3×#397C22semidirect
75. C3×#396C22semidirect
76. C3×#388C22semidirect
77. C3×#388C22semidirect
78. C3×#388C22semidirect
91. #4994C22semidirect
92. #4994C22semidirect
93. #4994C22semidirect
94. #4994C22semidirect
95. #4993C22semidirect
96. #4992C22semidirect
97. #4990C22semidirect
98. #4989C22semidirect
99. #4987C22semidirect
100. #4986C22semidirect
101. #4984C22semidirect
102. #4984C22semidirect
103. #4982C22semidirect
104. #4982C22semidirect
105. #4981C22semidirect
106. #4980C22semidirect
107. #4975C22semidirect
108. #4972C22semidirect
124. #4953C22semidirect
125. #4952C22semidirect
126. #4952C22semidirect
127. #4951C22semidirect
131. #4950C22semidirect
132. #4950C22semidirect
133. #4950C22semidirect
134. #4950C22semidirect
135. #4948C22semidirect
139. #4946C22semidirect
140. #4946C22semidirect
141. #4946C22semidirect
142. #4946C22semidirect
143. #4945C22semidirect
144. #4944C22semidirect
147. #4942C22semidirect
148. #4942C22semidirect
149. #4942C22semidirect
150. #4942C22semidirect
152. #4940C22semidirect
153. #4940C22semidirect
154. #4940C22semidirect
155. #4935C22semidirect
156. #4928C22semidirect
157. #4928C22semidirect
158. #4677C22semidirect
159. #4676C22semidirect
160. #4676C22semidirect
161. #4675C22semidirect
162. #4675C22semidirect
163. #4675C22semidirect
164. #4675C22semidirect
165. #4674C22semidirect
166. #4673C22semidirect
167. #4673C22semidirect
168. #4670C22semidirect
169. #4669C22semidirect
170. #4668C22semidirect
171. #4668C22semidirect
172. #4668C22semidirect
173. #4667C22semidirect
174. #4661C22semidirect
175. #4661C22semidirect
176. #4661C22semidirect
177. #4661C22semidirect
178. #4659C22semidirect
179. #4657C22semidirect
180. #4657C22semidirect
181. #4657C22semidirect
182. #4656C22semidirect
183. #4656C22semidirect
184. #4656C22semidirect
185. #4656C22semidirect
186. #4655C22semidirect
187. #4654C22semidirect
188. #4653C22semidirect
189. #4647C22semidirect
211. #2480D3semidirect
425. C2×#126C2×D3semidirect
479. #397C2×D3semidirect
480. #397C2×D3semidirect
481. #397C2×D3semidirect
489. #396C2×D3semidirect
521. #388C2×D3semidirect
522. #388C2×D3semidirect
523. #388C2×D3semidirect
1341. C22×C3#563semidirect
1584. C22#5712semidirect
1618. C3#45456semidirect

Maximal subgroups

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

subgroupindex
C2×#57122
C22×#8862
C3×#24802
#830972
#821122
#777272
#775952
#775892
#775682
#775672
#773582
#773502
#756962
#756892
#756762
#756682
#756662
#754892
#744522
#744422
#744412
#744132
#738992
#738962
#738532
#738462
#738272
#735962
#734932
#454563