Finite Group Databasebeta

← #11235244

Subgroups — #11235244

Order 768.

2480 conjugacy classes of subgroups.

The subgroup lattice has 1726 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#5627C211yesmaximal, characteristic, complemented
2C2×#5620C211yesmaximal, characteristic, complemented
3C3×#2681C211yesmaximal, characteristic, complemented
4#82912C211yesmaximal, characteristic, complemented
5#82905C211yesmaximal, characteristic, complemented
6#82828C211yesmaximal, characteristic, complemented
7#82812C211yesmaximal, characteristic, complemented
8#82795C211yesmaximal, characteristic, complemented
9#82657C211yesmaximal, characteristic, complemented
10#77983C211yesmaximal, characteristic, complemented
11#77947C211yesmaximal, characteristic, complemented
12#77439C211yesmaximal, characteristic, complemented
13#77293C211yesmaximal, characteristic, complemented
14#77158C211yesmaximal, characteristic, complemented
15#77158C211yesmaximal, characteristic, complemented
16#77134C211yesmaximal, characteristic, complemented
17#77118C211yesmaximal, characteristic, complemented
18#76929C211yesmaximal, characteristic, complemented
19#76900C211yesmaximal, characteristic, complemented
20#76878C211yesmaximal, characteristic, complemented
21#76864C211yesmaximal, characteristic, complemented
22#76387C211yesmaximal, characteristic, complemented
23#76318C211yesmaximal, characteristic, complemented
24#76265C211yesmaximal, characteristic, complemented
25#76025C211yesmaximal, characteristic, complemented
26#75840C211yesmaximal, characteristic, complemented
27#75519C211yesmaximal, characteristic, complemented
28#74936C211yesmaximal, characteristic, complemented
29#74810C211yesmaximal, characteristic, complemented
30#74638C211yesmaximal, characteristic, complemented
31#74611C211yesmaximal, characteristic, complemented
32#45440—31nomaximal, Sylow
33C22×#239C2211yescharacteristic
34C23×C4×D3C2211yescharacteristic
35C2×C3×#123C2211yescharacteristic
36C2×C3×C22⋊Q8C2211yescharacteristic
37C2×C3×C22⋊Q8C2211yescharacteristic, complemented
38C2×C3×#121C2211yescharacteristic
39C2×#946C2211yescharacteristic
40C2×#940C2211yescharacteristic
41C2×#939C2211yescharacteristic
42C2×#939C2211yescharacteristic
43C2×#938C2211yescharacteristic
44C2×#937C2211yescharacteristic
45C2×#937C2211yescharacteristic
46C2×#935C2211yescharacteristic
47C2×#930C2211yescharacteristic
48C2×#930C2211yescharacteristic
49C2×#929C2211yescharacteristic
50C2×C4×#67C2211yescharacteristic, complemented
51#5627—28no—
52#5620—28no—
53C2×#898C2211yescharacteristic
54C2×#895C2211yescharacteristic
55C2×#894C2211yescharacteristic
56C2×#894C2211yescharacteristic
57C2×#894C2211yescharacteristic
58C2×#893C2211yescharacteristic
59C2×#893C2211yescharacteristic
60C2×#892C2211yescharacteristic
61C2×#886C2211yescharacteristic
62C2×#884C2211yescharacteristic
63C2×#884C2211yescharacteristic, complemented
64C2×#883C2211yescharacteristic
65C2×#883C2211yescharacteristic
66C2×#883C2211yescharacteristic, complemented
67C2×#882C2211yescharacteristic
68C2×#882C2211yescharacteristic
69C2×#67⋊C4C2211yescharacteristic
70C2×#67⋊C4C2211yescharacteristic
71C2×#879C2211yescharacteristic
72C3×#398C2211yescharacteristic, complemented
73C3×#396C2211yescharacteristic, complemented
74C3×#394C2211yescharacteristic
75C3×#394C2211yescharacteristic
76C3×#394C2211yescharacteristic, complemented
77C3×#393C2211yescharacteristic, complemented
78C3×#390C2211yescharacteristic, complemented
79C3×#389C2211yescharacteristic, complemented
80C3×#388C2211yescharacteristic
81C3×#386C2211yescharacteristic
82C3×#385C2211yescharacteristic, complemented
83#5230C2211yescharacteristic, complemented
84#5229C2211yescharacteristic, complemented
85#5223C2211yescharacteristic
86#5223C2211yescharacteristic
87#5223C2211yescharacteristic, complemented
88#5221C2211yescharacteristic, complemented
89#5220C2211yescharacteristic
90#5211C2211yescharacteristic
91#5210C2211yescharacteristic
92#5210C2211yescharacteristic, complemented
93#4994C2211yescharacteristic, complemented
94#4993C2211yescharacteristic, complemented
95#4992C2211yescharacteristic
96#4992C2211yescharacteristic
97#4991C2211yescharacteristic
98#4991C2211yescharacteristic
99#4991C2211yescharacteristic, complemented
100#4990C2211yescharacteristic
101#4989C2211yescharacteristic
102#4989C2211yescharacteristic
103#4989C2211yescharacteristic
104#4989C2211yescharacteristic
105#4989C2211yescharacteristic, complemented
106#4989C2211yescharacteristic, complemented
107#4988C2211yescharacteristic
108#4987C2211yescharacteristic, complemented
109#4987C2211yescharacteristic, complemented
110#4986C2211yescharacteristic, complemented
111#4985C2211yescharacteristic, complemented
112#4982C2211yescharacteristic, complemented
113#4982C2211yescharacteristic, complemented
114#4981C2211yescharacteristic, complemented
115#4980C2211yescharacteristic, complemented
116#4978C2211yescharacteristic, complemented
117#4978C2211yescharacteristic, complemented
118#4976C2211yescharacteristic, complemented
119#4975C2211yescharacteristic, complemented
120#4972C2211yescharacteristic, complemented
121#4961C2211yescharacteristic
122#4961C2211yescharacteristic
123#4961C2211yescharacteristic
124#4961C2211yescharacteristic
125#4961C2211yescharacteristic, complemented
126#4961C2211yescharacteristic, complemented
127#4960C2211yescharacteristic
128#4960C2211yescharacteristic
129#4960C2211yescharacteristic
130#4960C2211yescharacteristic
131#4960C2211yescharacteristic, complemented
132#4959C2211yescharacteristic
133#4959C2211yescharacteristic
134#4959C2211yescharacteristic, complemented
135#4959C2211yescharacteristic, complemented
136#4958C2211yescharacteristic, complemented
137#4957C2211yescharacteristic
138#4956C2211yescharacteristic
139#4956C2211yescharacteristic
140#4956C2211yescharacteristic
141#4956C2211yescharacteristic
142#4956C2211yescharacteristic
143#4956C2211yescharacteristic
144#4956C2211yescharacteristic
145#4956C2211yescharacteristic, complemented
146#4956C2211yescharacteristic, complemented
147#4956C2211yescharacteristic, complemented
148#4955C2211yescharacteristic
149#4955C2211yescharacteristic
150#4952C2211yescharacteristic
151#4952C2211yescharacteristic
152#4952C2211yescharacteristic, complemented
153#4951C2211yescharacteristic
154#4951C2211yescharacteristic, complemented
155#4950C2211yescharacteristic
156#4950C2211yescharacteristic, complemented
157#4945C2211yescharacteristic, complemented
158#4945C2211yescharacteristic, complemented
159#4943C2211yescharacteristic
160#4942C2211yescharacteristic, complemented
161Dic3×C22⋊C4C2211yescharacteristic, complemented
162#4940C2211yescharacteristic
163#4940C2211yescharacteristic, complemented
164#4939C2211yescharacteristic
165C4×C4⋊Dic3C2211yescharacteristic, complemented
166#4675C2211yescharacteristic, complemented
167#4674C2211yescharacteristic
168#4674C2211yescharacteristic
169#4672C2211yescharacteristic
170#4672C2211yescharacteristic
171#4670C2211yescharacteristic
172#4670C2211yescharacteristic, complemented
173#4670C2211yescharacteristic, complemented
174#4669C2211yescharacteristic
175#4668C2211yescharacteristic
176#4668C2211yescharacteristic
177#4668C2211yescharacteristic, complemented
178#4665C2211yescharacteristic
179#4665C2211yescharacteristic
180#4665C2211yescharacteristic, complemented
181#4664C2211yescharacteristic
182#4664C2211yescharacteristic
183#4664C2211yescharacteristic, complemented
184D3×#95C2211yescharacteristic, complemented
185#4661C2211yescharacteristic, complemented
186#4661C2211yescharacteristic, complemented
187#4660C2211yescharacteristic, complemented
188#4653C2211yescharacteristic, complemented
189#4647C2211yescharacteristic, complemented
190C2×#560—31no—
191C2×#525—31no—
192#2849—31no—
193#2849—31no—
194#2812—31no—
195#2812—31no—
196#2718—31no—
197#2708—31no—
198#2703—31no—
199#2701—31no—
200#2701—31no—
201#2699—31no—
202#2689—31no—
203#2687—31no—
204#2681D311yescharacteristic, complemented
205#2680—31no—
206#2673—31no—
207#2671—31no—
208#2478—31no—
209#2476—31no—
210#2468—31no—
211#2457—31no—
212#2456—31no—
213#2455—31no—
214#2445—31no—
215#2444—31no—
216#2430—31no—
217#2422—31no—
218#2419—31no—
219#2407—31no—
220#2375—31no—
221C24×D3C2311yescharacteristic
222C22×C3×Q8C2311yescharacteristic
223C22×C3×D4C2311yescharacteristic
224C22×C3×D4C2311yescharacteristic
225C22×C3×D4C2311yescharacteristic
226C23×C3×C4C2311yescharacteristic
227C23×C3×C4C2311yescharacteristic
228C22×#67C2311yescharacteristic
229C22×#67C2311yescharacteristic
230C22×#67C2311yescharacteristic
231C22×#67C2311yescharacteristic
232C22×#67C2311yescharacteristic
233C22×#67C2311yescharacteristic
234C22×#67C2311yescharacteristic
235C22×#67C2311yescharacteristic
236C22×#67C2311yescharacteristic
237C22×#67C2311yescharacteristic
238C23×Dic3C2311yescharacteristic
239C23×Dic3C2311yescharacteristic
240C2×#239—24no—
241C2×#239—42no—
242C2×#239—42no—
243C22×D12C2311yescharacteristic
244C22×D12C2311yescharacteristic
245C22×D12C2311yescharacteristic
246C22×D12C2311yescharacteristic
247C22×D12C2311yescharacteristic
248C22×C4×D3—24no—
249C22×C4×D3—42no—
250C22×C4×D3—42no—
251C22×C4×D3C2311yescharacteristic
252C22×C4×D3C2311yescharacteristic
253C22×C4×D3C2311yescharacteristic
254C22×C4×D3C2311yescharacteristic
255C22×C4×D3C2311yescharacteristic
256C22×C4×D3C2311yescharacteristic
257C22×C4×D3C2311yescharacteristic
258C22×C4×D3C2311yescharacteristic
259C3×#123—42no—
260C3×C22⋊Q8—24no—
261C3×C22⋊Q8—42no—
262C3×#121—24no—
263C2×C3×C4⋊C4C2311yescharacteristic
264C2×C3×C4⋊C4C2311yescharacteristic
265C2×C3×C4⋊C4C2311yescharacteristic
266C2×C3×C4⋊C4C2311yescharacteristic
267C2×C3×C4⋊C4C2311yescharacteristic
268C2×C3×C4⋊C4C2311yescharacteristic
269C2×C3×C4⋊C4C2311yescharacteristic
270C2×C3×C4⋊C4C2311yescharacteristic
271C2×C3×C4⋊C4C2311yescharacteristic
272C2×C3×C22⋊C4C2311yescharacteristic
273C2×C3×C22⋊C4C2311yescharacteristic
274C2×C3×C22⋊C4C2311yescharacteristic
275C2×C3×C22⋊C4C2311yescharacteristic
276C2×C3×C22⋊C4C2311yescharacteristic
277C2×C3×C22⋊C4C2311yescharacteristic
278C2×C3×C22⋊C4C2311yescharacteristic
279C2×C3×C22⋊C4C2311yescharacteristic
280C2×C3×C22⋊C4C2311yescharacteristic
281C2×C3×C22⋊C4C2311yescharacteristic
282C2×C3×C22⋊C4C2311yescharacteristic
283C2×C3×C22⋊C4C2311yescharacteristic
284C2×C3×C22⋊C4C2311yescharacteristic
285C2×C3×C42C2311yescharacteristic
286C2×#217C2311yescharacteristic
287C2×#217C2311yescharacteristic
288C2×#217C2311yescharacteristic
289C2×#217C2311yescharacteristic
290C2×#217C2311yescharacteristic
291C2×#217C2311yescharacteristic
292C2×#217C2311yescharacteristic
293C2×#217C2311yescharacteristic
294C2×#217C2311yescharacteristic
295C2×#217C2311yescharacteristic
296C2×#217C2311yescharacteristic
297#946—24no—
298#940—24no—
299#939—24no—
300#939—24no—
301#938—24no—
302#937—24no—
303#937—24no—
304#935—42no—
305#930—24no—
306#930—24no—
307#929—24no—
308C4×#67—42no—
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×(C2×D3)⋊C4C2311yescharacteristic
325C2×(C2×D3)⋊C4C2311yescharacteristic
326C2×(C2×D3)⋊C4C2311yescharacteristic
327C2×(C2×D3)⋊C4C2311yescharacteristic
328C2×(C2×D3)⋊C4C2311yescharacteristic
329C2×(C2×D3)⋊C4C2311yescharacteristic
330C2×(C2×D3)⋊C4C2311yescharacteristic
331C2×(C2×D3)⋊C4C2311yescharacteristic
332C2×(C2×D3)⋊C4C2311yescharacteristic
333C2×(C2×D3)⋊C4C2311yescharacteristic
334C2×(C2×D3)⋊C4C2311yescharacteristic
335C2×(C2×D3)⋊C4C2311yescharacteristic
336C2×(C2×D3)⋊C4C2311yescharacteristic
337C2×(C2×D3)⋊C4C2311yescharacteristic
338C2×(C2×D3)⋊C4C2311yescharacteristic
339C2×C4⋊Dic3C2311yescharacteristic
340C2×C4⋊Dic3C2311yescharacteristic
341C2×C4⋊Dic3C2311yescharacteristic
342C2×C4⋊Dic3C2311yescharacteristic
343C2×C4⋊Dic3C2311yescharacteristic
344C2×C4⋊Dic3C2311yescharacteristic
345C2×C4⋊Dic3C2311yescharacteristic
346C2×C4⋊Dic3C2311yescharacteristic
347C2×Dic3⋊C4C2311yescharacteristic
348C2×Dic3⋊C4C2311yescharacteristic
349C2×Dic3⋊C4C2311yescharacteristic
350C2×Dic3⋊C4C2311yescharacteristic
351C2×Dic3⋊C4C2311yescharacteristic
352C2×Dic3⋊C4C2311yescharacteristic
353C2×Dic3⋊C4C2311yescharacteristic
354C2×Dic3⋊C4C2311yescharacteristic
355C2×Dic3⋊C4C2311yescharacteristic
356C2×Dic3⋊C4C2311yescharacteristic
357C2×Dic3⋊C4C2311yescharacteristic
358C2×Dic3⋊C4C2311yescharacteristic
359C2×C4×Dic3C2311yescharacteristic
360C2×C4×Dic3C2311yescharacteristic
361C2×C4×Dic3C2311yescharacteristic
362C2×C4×Dic3C2311yescharacteristic
363C2×C4×Dic3C2311yescharacteristic
364#898—24no—
365#895—24no—
366#894—24no—
367#894—24no—
368#894—24no—
369#893—24no—
370#893—24no—
371#892—24no—
372#886—24no—
373#884—24no—
374#884—42no—
375#883—42no—
376#883—42no—
377#883—42no—
378#882—24no—
379#882D418yescomplemented
380#67⋊C4—24no—
381#67⋊C4—24no—
382#879—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
417C22×#41—31no—
418C24×C4—31no—
419#560—68no—
420C2×#127—31no—
421C2×#126—31no—
422C2×#126—31no—
423#525—68no—
424C2×#123—31no—
425C2×#123—31no—
426C2×#123—31no—
427C2×#123—31no—
428C2×#123—31no—
429C2×#123—31no—
430C2×#123—31no—
431C2×#123—31no—
432C2×#123—31no—
433C2×#123C2×D311yescharacteristic
434C2×C22⋊Q8—31no—
435C2×C22⋊Q8C2×D311yescharacteristic
436C2×C22⋊Q8C2×D311yescharacteristic, complemented
437C2×#121—31no—
438C2×#121—31no—
439C2×#121—31no—
440C2×#121—31no—
441C2×#121—31no—
442C2×#121—31no—
443C2×#121—31no—
444C2×#121—31no—
445C2×#121C2×D311yescharacteristic
446C2×#120—31no—
447C2×#120—31no—
448C2×#120—31no—
449C2×#120—31no—
450C2×C4×D4—31no—
451C2×C4×D4—31no—
452C2×C4×D4—31no—
453C2×C4×D4—31no—
454C2×C4×D4—31no—
455C2×#117—31no—
456#400—31no—
457#400—31no—
458#400—31no—
459#399—31no—
460#398—31no—
461#398—31no—
462#398—31no—
463#398—31no—
464#398—31no—
465#398C2×D311yescharacteristic, complemented
466#397—31no—
467#397—31no—
468#397—31no—
469#397—31no—
470#397—31no—
471#397—31no—
472#397—31no—
473#397—31no—
474#396—31no—
475#396C2×D311yescharacteristic, complemented
476#395—31no—
477#394—31no—
478#394—31no—
479#394—31no—
480#394—31no—
481#394—31no—
482#394—31no—
483#394—31no—
484#394—31no—
485#394—31no—
486#394—31no—
487#394—31no—
488#394—31no—
489#394—31no—
490#394—31no—
491#394—31no—
492#394C2×D311yescharacteristic
493#394C2×D311yescharacteristic
494#394C2×D311yescharacteristic, complemented
495#393C2×D311yescharacteristic, complemented
496#392—31no—
497#392—31no—
498#392—31no—
499#392—31no—
500#392—31no—
501#392—31no—
502#392—31no—
503#392—31no—
504#391—31no—
505#390—31no—
506#390—31no—
507#390—31no—
508#390—31no—
509#390C2×D311yescharacteristic, complemented
510#389—31no—
511#389—31no—
512#389—31no—
513#389C2×D311yescharacteristic, complemented
514#388—31no—
515#388—31no—
516#388—31no—
517#388—31no—
518#388—31no—
519#388—31no—
520#388—31no—
521#388—31no—
522#388—31no—
523#388—31no—
524#388—31no—
525#388C2×D311yescharacteristic
526#387—31no—
527#387—31no—
528#387—31no—
529#387—31no—
530#386—31no—
531#386—31no—
532#386—31no—
533#386—31no—
534#386—31no—
535#386—31no—
536#386—31no—
537#386—31no—
538#386—31no—
539#386—31no—
540#386—31no—
541#386—31no—
542#386—31no—
543#386—31no—
544#386—31no—
545#386C2×D311yescharacteristic
546#385—31no—
547#385—31no—
548#385—31no—
549#385—31no—
550#385—31no—
551#385—31no—
552#385—31no—
553#385—31no—
554#385—31no—
555#385—31no—
556#385—31no—
557#385—31no—
558#385—31no—
559#385C2×D311yescharacteristic, complemented
560#384—31no—
561#381—31no—
562#381—31no—
563#381—31no—
564#381—31no—
565#381—31no—
566#380—31no—
567#380—31no—
568#380—31no—
569#379—31no—
570#379—31no—
571C4×C4⋊C4—31no—
572C4×C22⋊C4—31no—
573C2×#95—31no—
574C24×C3C2411yescharacteristic
575C24×C3C2411yescharacteristic
576C24×C3C2411yescharacteristic
577C23×D3—41no—
578C23×D3—41no—
579C23×D3—41no—
580C23×D3—41no—
581C23×D3—41no—
582C23×D3—41no—
583C23×D3C2×D414yes—
584C23×D3C2411yescharacteristic
585C23×D3C2411yescharacteristic
586C23×D3C2411yescharacteristic
587C23×D3C2411yescharacteristic
588C2×C3×Q8—22no—
589C2×C3×Q8—22no—
590C2×C3×Q8—41no—
591C2×C3×D4—22no—
592C2×C3×D4—22no—
593C2×C3×D4—22no—
594C2×C3×D4—41no—
595C2×C3×D4—41no—
596C2×C3×D4—41no—
597C2×C3×D4—41no—
598C2×C3×D4—41no—
599C2×C3×D4—41no—
600C22×C3×C4—22no—
601C22×C3×C4—22no—
602C22×C3×C4—22no—
603C22×C3×C4—41no—
604C22×C3×C4—41no—
605C22×C3×C4—41no—
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
616C22×C3×C4C2411yescharacteristic
617C22×C3×C4C2411yescharacteristic
618C2×#67—22no—
619C2×#67—22no—
620C2×#67—22no—
621C2×#67—22no—
622C2×#67—22no—
623C2×#67—22no—
624C2×#67—22no—
625C2×#67—41no—
626C2×#67—41no—
627C2×#67—41no—
628C2×#67—41no—
629C2×#67—41no—
630C2×#67—41no—
631C2×#67—41no—
632C2×#67—41no—
633C2×#67—41no—
634C2×#67—41no—
635C2×#67—41no—
636C2×#67—41no—
637C2×#67—41no—
638C2×#67—41no—
639C2×#67—41no—
640C2×#67—41no—
641C2×#67—41no—
642C2×#67—41no—
643C2×#67—41no—
644C2×#67—41no—
645C2×#67—41no—
646C2×#67—41no—
647C2×#67C2×D414yes—
648C22×Dic3—22no—
649C22×Dic3—22no—
650C22×Dic3—22no—
651C22×Dic3—41no—
652C22×Dic3—41no—
653C22×Dic3—41no—
654C22×Dic3C2411yescharacteristic
655C22×Dic3C2411yescharacteristic
656C22×Dic3C2411yescharacteristic
657C22×Dic3C2411yescharacteristic
658C22×Dic3C2411yescharacteristic
659C22×Dic3C2411yescharacteristic
660C22×Dic3C2411yescharacteristic
661C22×Dic3C2411yescharacteristic
662C22×Dic3C2411yescharacteristic
663C22×Dic3C2411yescharacteristic
664C22×Dic3C2411yescharacteristic
665C22×Dic3C2411yescharacteristic
666#239—416no—
667C2×D12—22no—
668C2×D12—22no—
669C2×D12—22no—
670C2×D12—22no—
671C2×D12—41no—
672C2×D12—41no—
673C2×D12—41no—
674C2×D12—41no—
675C2×D12—41no—
676C2×D12—41no—
677C2×D12—41no—
678C2×D12—41no—
679C2×D12—41no—
680C2×D12C2×D414yes—
681C2×D12C2×D414yes—
682C2×C4×D3—22no—
683C2×C4×D3—22no—
684C2×C4×D3—22no—
685C2×C4×D3—22no—
686C2×C4×D3—22no—
687C2×C4×D3—22no—
688C2×C4×D3—22no—
689C2×C4×D3—22no—
690C2×C4×D3—22no—
691C2×C4×D3—22no—
692C2×C4×D3—22no—
693C2×C4×D3—22no—
694C2×C4×D3—22no—
695C2×C4×D3—416no—
696C2×C4×D3—41no—
697C2×C4×D3—41no—
698C2×C4×D3—41no—
699C2×C4×D3—41no—
700C2×C4×D3—41no—
701C2×C4×D3—41no—
702C2×C4×D3—41no—
703C2×C4×D3—41no—
704C2×C4×D3—41no—
705C2×C4×D3—41no—
706C2×C4×D3—41no—
707C3×C4⋊C4—22no—
708C3×C4⋊C4—22no—
709C3×C4⋊C4—22no—
710C3×C4⋊C4—22no—
711C3×C4⋊C4—22no—
712C3×C4⋊C4—41no—
713C3×C4⋊C4—41no—
714C3×C4⋊C4—41no—
715C3×C4⋊C4—41no—
716C3×C22⋊C4—22no—
717C3×C22⋊C4—22no—
718C3×C22⋊C4—22no—
719C3×C22⋊C4—22no—
720C3×C22⋊C4—41no—
721C3×C22⋊C4—41no—
722C3×C22⋊C4—41no—
723C3×C22⋊C4—41no—
724C3×C22⋊C4—41no—
725C3×C22⋊C4—41no—
726C3×C22⋊C4—41no—
727C3×C22⋊C4—41no—
728C3×C22⋊C4C2×D414yes—
729C3×C42—41no—
730#217—22no—
731#217—22no—
732#217—22no—
733#217—22no—
734#217—22no—
735#217—41no—
736#217—41no—
737#217—41no—
738#217—41no—
739#217—41no—
740#217—41no—
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—22no—
747(C2×D3)⋊C4—22no—
748(C2×D3)⋊C4—22no—
749(C2×D3)⋊C4—22no—
750(C2×D3)⋊C4—22no—
751(C2×D3)⋊C4—22no—
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)⋊C4—41no—
760(C2×D3)⋊C4—41no—
761(C2×D3)⋊C4—41no—
762(C2×D3)⋊C4—41no—
763(C2×D3)⋊C4—41no—
764(C2×D3)⋊C4—41no—
765(C2×D3)⋊C4—41no—
766(C2×D3)⋊C4—41no—
767(C2×D3)⋊C4—41no—
768(C2×D3)⋊C4—41no—
769(C2×D3)⋊C4C2×D414yes—
770(C2×D3)⋊C4C2×D414yes—
771C4⋊Dic3—22no—
772C4⋊Dic3—22no—
773C4⋊Dic3—22no—
774C4⋊Dic3—22no—
775C4⋊Dic3—41no—
776C4⋊Dic3—41no—
777C4⋊Dic3—41no—
778C4⋊Dic3—41no—
779Dic3⋊C4—22no—
780Dic3⋊C4—22no—
781Dic3⋊C4—22no—
782Dic3⋊C4—22no—
783Dic3⋊C4—22no—
784Dic3⋊C4—22no—
785Dic3⋊C4—22no—
786Dic3⋊C4—41no—
787Dic3⋊C4—41no—
788Dic3⋊C4—41no—
789Dic3⋊C4—41no—
790Dic3⋊C4—41no—
791C4×Dic3—22no—
792C4×Dic3—22no—
793C4×Dic3—22no—
794C4×Dic3—41no—
795C4×Dic3—41no—
796C25—31no—
797C2×#41—64no—
798C2×#41—122no—
799C2×#41—122no—
800C22×Q8C22×D311yescharacteristic
801C22×D4—31no—
802C22×D4—31no—
803C22×D4—31no—
804C22×D4—31no—
805C22×D4—31no—
806C22×D4—31no—
807C22×D4—31no—
808C22×D4—31no—
809C22×D4—31no—
810C22×D4—31no—
811C22×D4—31no—
812C22×D4—31no—
813C22×D4—31no—
814C22×D4—31no—
815C22×D4—31no—
816C22×D4C22×D311yescharacteristic
817C22×D4C22×D311yescharacteristic
818C22×D4C22×D311yescharacteristic
819C23×C4—31no—
820C23×C4—31no—
821C23×C4—31no—
822C23×C4—31no—
823C23×C4—31no—
824C23×C4—31no—
825C23×C4—31no—
826C23×C4—31no—
827C23×C4—31no—
828C23×C4—31no—
829C23×C4—64no—
830C23×C4—122no—
831C23×C4—122no—
832C23×C4C22×D311yescharacteristic
833C23×C4C22×D311yescharacteristic
834#127—64no—
835#126—64no—
836#126—64no—
837#123—42no—
838#123—64no—
839#123—64no—
840#123—64no—
841#123—64no—
842#123—64no—
843#123—122no—
844#123—122no—
845#123—122no—
846#123—122no—
847C22⋊Q8—24no—
848C22⋊Q8—42no—
849C22⋊Q8—64no—
850#121—24no—
851#121—64no—
852#121—64no—
853#121—64no—
854#121—64no—
855#121—64no—
856#121—64no—
857#121—64no—
858#121—122no—
859#120—38no—
860#120—64no—
861#120—64no—
862#120—64no—
863C4×D4—64no—
864C4×D4—64no—
865C4×D4—64no—
866C4×D4—64no—
867C4×D4—122no—
868#117—64no—
869C2×C4⋊C4—31no—
870C2×C4⋊C4—31no—
871C2×C4⋊C4—31no—
872C2×C4⋊C4—31no—
873C2×C4⋊C4—31no—
874C2×C4⋊C4—31no—
875C2×C4⋊C4—31no—
876C2×C4⋊C4—31no—
877C2×C4⋊C4—31no—
878C2×C4⋊C4—31no—
879C2×C4⋊C4—31no—
880C2×C4⋊C4—31no—
881C2×C4⋊C4—31no—
882C2×C4⋊C4—31no—
883C2×C4⋊C4—31no—
884C2×C4⋊C4—31no—
885C2×C4⋊C4—31no—
886C2×C4⋊C4—31no—
887C2×C4⋊C4—31no—
888C2×C4⋊C4—31no—
889C2×C4⋊C4C22×D311yescharacteristic
890C2×C4⋊C4C22×D311yescharacteristic
891C2×C4⋊C4C22×D311yescharacteristic
892C2×C4⋊C4C22×D311yescharacteristic
893C2×C4⋊C4C22×D311yescharacteristic
894C2×C4⋊C4C22×D311yescharacteristic
895C2×C4⋊C4C22×D311yescharacteristic
896C2×C4⋊C4C22×D311yescharacteristic
897C2×C4⋊C4C22×D311yescharacteristic
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—31no—
918C2×C22⋊C4—31no—
919C2×C22⋊C4—31no—
920C2×C22⋊C4—31no—
921C2×C22⋊C4—31no—
922C2×C22⋊C4—31no—
923C2×C22⋊C4—31no—
924C2×C22⋊C4—31no—
925C2×C22⋊C4—31no—
926C2×C22⋊C4—31no—
927C2×C22⋊C4—31no—
928C2×C22⋊C4—31no—
929C2×C22⋊C4—31no—
930C2×C22⋊C4—31no—
931C2×C22⋊C4—31no—
932C2×C22⋊C4—31no—
933C2×C22⋊C4—31no—
934C2×C22⋊C4—31no—
935C2×C22⋊C4—31no—
936C2×C22⋊C4—31no—
937C2×C22⋊C4—31no—
938C2×C22⋊C4—31no—
939C2×C22⋊C4C22×D311yescharacteristic
940C2×C22⋊C4C22×D311yescharacteristic
941C2×C22⋊C4C22×D311yescharacteristic
942C2×C22⋊C4C22×D311yescharacteristic
943C2×C22⋊C4C22×D311yescharacteristic
944C2×C22⋊C4C22×D311yescharacteristic
945C2×C22⋊C4C22×D311yescharacteristic
946C2×C22⋊C4C22×D311yescharacteristic
947C2×C22⋊C4C22×D311yescharacteristic
948C2×C22⋊C4C22×D311yescharacteristic
949C2×C22⋊C4C22×D311yescharacteristic
950C2×C22⋊C4C22×D311yescharacteristic
951C2×C22⋊C4C22×D311yescharacteristic
952C2×C42—31no—
953C2×C42—31no—
954C2×C42—31no—
955C2×C42—31no—
956C2×C42—31no—
957C2×C42C22×D311yescharacteristic
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#95—31no—
973#95—31no—
974#95—31no—
975#95—31no—
976#95—31no—
977#95—31no—
978#95—31no—
979#95—31no—
980#95—31no—
981#95—31no—
982#95—31no—
983#95—31no—
984#95—31no—
985#95—31no—
986#95C22×D311yescharacteristic
987#95C22×D311yescharacteristic
988#95C22×D311yescharacteristic
989#95C22×D311yescharacteristic
990#95C22×D311yescharacteristic
991#95C22×D311yescharacteristic
992C23×C3—21no—
993C23×C3—21no—
994C23×C3—21no—
995C23×C3—21no—
996C23×C3—21no—
997C23×C3—21no—
998C23×C3—21no—
999C23×C3—21no—
1000C23×C3—21no—
1001C23×C3—21no—
1002C23×C3—21no—
1003C23×C3—21no—
1004C23×C3—21no—
1005C23×C3—21no—
1006C23×C3—21no—
1007C23×C3—21no—
1008C23×C3—21no—
1009C23×C3—21no—
1010C23×C3—21no—
1011C23×C3—21no—
1012C23×C3C22×D412yes—
1013C23×C3C2511yescharacteristic
1014C22×D3—21no—
1015C22×D3—21no—
1016C22×D3—21no—
1017C22×D3—21no—
1018C22×D3—21no—
1019C22×D3—21no—
1020C22×D3—21no—
1021C22×D3—21no—
1022C22×D3—21no—
1023C22×D3—21no—
1024C22×D3—21no—
1025C22×D3—21no—
1026C22×D3—21no—
1027C22×D3—21no—
1028C22×D3—21no—
1029C22×D3—21no—
1030C22×D3—21no—
1031C22×D3—21no—
1032C22×D3—21no—
1033C22×D3—21no—
1034C22×D3—21no—
1035C22×D3—21no—
1036C22×D3—21no—
1037C22×D3—21no—
1038C22×D3—21no—
1039C22×D3—44no—
1040C22×D3—44no—
1041C22×D3—44no—
1042C22×D3—44no—
1043C22×D3—44no—
1044C22×D3—44no—
1045C22×D3—44no—
1046C22×D3C22×D412yes—
1047C22×D3C22×D412yes—
1048C22×D3C22×D412yes—
1049C3×Q8—44no—
1050C3×D4—82no—
1051C3×D4—82no—
1052C3×D4—82no—
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—21no—
1077C2×C3×C4—21no—
1078C2×C3×C4—21no—
1079C2×C3×C4—21no—
1080C2×C3×C4—21no—
1081C2×C3×C4—21no—
1082C2×C3×C4—21no—
1083C2×C3×C4—21no—
1084C2×C3×C4—21no—
1085C2×C3×C4—21no—
1086C2×C3×C4—44no—
1087C2×C3×C4—82no—
1088C2×C3×C4C22×D412yes—
1089C2×C3×C4C22×D412yes—
1090C2×C3×C4H(5,𝔽2)12yes—
1091#67—44no—
1092#67—44no—
1093#67—44no—
1094#67—82no—
1095#67—82no—
1096#67—82no—
1097#67—82no—
1098#67—82no—
1099#67—82no—
1100#67—82no—
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—21no—
1118C2×Dic3—21no—
1119C2×Dic3—21no—
1120C2×Dic3—21no—
1121C2×Dic3—21no—
1122C2×Dic3—21no—
1123C2×Dic3—21no—
1124C2×Dic3—21no—
1125C2×Dic3—21no—
1126C2×Dic3—21no—
1127C2×Dic3—21no—
1128C2×Dic3—21no—
1129C2×Dic3—21no—
1130C2×Dic3—21no—
1131C2×Dic3—21no—
1132C2×Dic3—21no—
1133C2×Dic3—21no—
1134C2×Dic3—21no—
1135C2×Dic3—44no—
1136C2×Dic3—82no—
1137C2×Dic3C22×D412yes—
1138C2×Dic3H(5,𝔽2)12yes—
1139D12—44no—
1140D12—44no—
1141D12—44no—
1142D12—44no—
1143D12—44no—
1144C4×D3—28no—
1145C4×D3—44no—
1146C4×D3—44no—
1147C4×D3—44no—
1148C4×D3—44no—
1149C4×D3—44no—
1150C4×D3—82no—
1151C4×D3—82no—
1152C24—31no—
1153C24—31no—
1154C24—31no—
1155C24—34no—
1156C24—31no—
1157C24—121no—
1158C24—121no—
1159C24—121no—
1160C24—121no—
1161C24—121no—
1162C24—121no—
1163C24C23×D311yescharacteristic
1164C24C23×D311yescharacteristic
1165C24C23×D311yescharacteristic
1166#41—1216no—
1167C2×Q8—22no—
1168C2×Q8—22no—
1169C2×Q8—41no—
1170C2×D4—22no—
1171C2×D4—22no—
1172C2×D4—22no—
1173C2×D4—34no—
1174C2×D4—34no—
1175C2×D4—34no—
1176C2×D4—41no—
1177C2×D4—41no—
1178C2×D4—41no—
1179C2×D4—41no—
1180C2×D4—41no—
1181C2×D4—41no—
1182C2×D4—62no—
1183C2×D4—62no—
1184C2×D4—62no—
1185C2×D4—62no—
1186C2×D4—62no—
1187C2×D4—62no—
1188C2×D4—62no—
1189C2×D4—62no—
1190C2×D4—62no—
1191C2×D4—62no—
1192C2×D4—62no—
1193C2×D4—121no—
1194C2×D4—121no—
1195C2×D4—121no—
1196C2×D4—121no—
1197C2×D4—121no—
1198C2×D4—121no—
1199C2×D4—121no—
1200C2×D4—121no—
1201C2×D4—121no—
1202C2×D4—121no—
1203C2×D4—121no—
1204C2×D4—121no—
1205C2×D4—121no—
1206C2×D4—121no—
1207C2×D4—121no—
1208C2×D4—121no—
1209C2×D4—121no—
1210C2×D4—121no—
1211C2×D4—121no—
1212C2×D4—121no—
1213C2×D4—121no—
1214C2×D4—121no—
1215C2×D4—121no—
1216C2×D4—121no—
1217C2×D4—121no—
1218C2×D4—121no—
1219C2×D4—121no—
1220C2×D4—121no—
1221C2×D4—121no—
1222C2×D4—121no—
1223C2×D4—121no—
1224C22×C4—22no—
1225C22×C4—22no—
1226C22×C4—22no—
1227C22×C4—31no—
1228C22×C4—31no—
1229C22×C4—31no—
1230C22×C4—31no—
1231C22×C4—31no—
1232C22×C4—31no—
1233C22×C4—31no—
1234C22×C4—31no—
1235C22×C4—31no—
1236C22×C4—31no—
1237C22×C4—31no—
1238C22×C4—31no—
1239C22×C4—41no—
1240C22×C4—41no—
1241C22×C4—41no—
1242C22×C4—62no—
1243C22×C4—62no—
1244C22×C4—62no—
1245C22×C4—62no—
1246C22×C4—62no—
1247C22×C4—62no—
1248C22×C4—62no—
1249C22×C4—62no—
1250C22×C4—62no—
1251C22×C4—62no—
1252C22×C4—62no—
1253C22×C4—62no—
1254C22×C4—62no—
1255C22×C4—62no—
1256C22×C4—62no—
1257C22×C4—62no—
1258C22×C4—121no—
1259C22×C4—121no—
1260C22×C4—121no—
1261C22×C4—121no—
1262C22×C4—121no—
1263C22×C4—121no—
1264C22×C4—121no—
1265C22×C4—121no—
1266C22×C4—121no—
1267C22×C4—121no—
1268C22×C4—121no—
1269C22×C4—1216no—
1270C22×C4—121no—
1271C22×C4—121no—
1272C22×C4—121no—
1273C22×C4C23×D311yescharacteristic
1274C22×C4C23×D311yescharacteristic
1275C22×C4C23×D311yescharacteristic
1276C22×C4C23×D311yescharacteristic
1277C22×C4C23×D311yescharacteristic
1278C22×C4C23×D311yescharacteristic
1279C22×C4C23×D311yescharacteristic
1280C22×C4C23×D311yescharacteristic
1281C22×C4C23×D311yescharacteristic
1282C22×C4C23×D311yescharacteristic
1283C22×C4C23×D311yescharacteristic
1284C22×C4C23×D311yescharacteristic
1285C4⋊C4—22no—
1286C4⋊C4—22no—
1287C4⋊C4—22no—
1288C4⋊C4—22no—
1289C4⋊C4—22no—
1290C4⋊C4—41no—
1291C4⋊C4—41no—
1292C4⋊C4—41no—
1293C4⋊C4—41no—
1294C4⋊C4—62no—
1295C4⋊C4—62no—
1296C4⋊C4—62no—
1297C4⋊C4—62no—
1298C4⋊C4—62no—
1299C4⋊C4—62no—
1300C4⋊C4—62no—
1301C4⋊C4—62no—
1302C4⋊C4—62no—
1303C4⋊C4—62no—
1304C4⋊C4—62no—
1305C4⋊C4—121no—
1306C4⋊C4—121no—
1307C4⋊C4—121no—
1308C4⋊C4—121no—
1309C4⋊C4—121no—
1310C4⋊C4—121no—
1311C4⋊C4—121no—
1312C4⋊C4—121no—
1313C4⋊C4—121no—
1314C22⋊C4—22no—
1315C22⋊C4—22no—
1316C22⋊C4—22no—
1317C22⋊C4—22no—
1318C22⋊C4—34no—
1319C22⋊C4—34no—
1320C22⋊C4—41no—
1321C22⋊C4—41no—
1322C22⋊C4—41no—
1323C22⋊C4—41no—
1324C22⋊C4—41no—
1325C22⋊C4—41no—
1326C22⋊C4—41no—
1327C22⋊C4—41no—
1328C22⋊C4—62no—
1329C22⋊C4—62no—
1330C22⋊C4—62no—
1331C22⋊C4—62no—
1332C22⋊C4—62no—
1333C22⋊C4—62no—
1334C22⋊C4—62no—
1335C22⋊C4—62no—
1336C22⋊C4—62no—
1337C22⋊C4—62no—
1338C22⋊C4—62no—
1339C22⋊C4—62no—
1340C22⋊C4—62no—
1341C22⋊C4—62no—
1342C22⋊C4—62no—
1343C22⋊C4—62no—
1344C22⋊C4—121no—
1345C22⋊C4—121no—
1346C22⋊C4—121no—
1347C22⋊C4—121no—
1348C22⋊C4—121no—
1349C22⋊C4—121no—
1350C22⋊C4—121no—
1351C22⋊C4—121no—
1352C22⋊C4—121no—
1353C22⋊C4—121no—
1354C22⋊C4—121no—
1355C22⋊C4—121no—
1356C22⋊C4—121no—
1357C22⋊C4—121no—
1358C22⋊C4—121no—
1359C22⋊C4—121no—
1360C22⋊C4—121no—
1361C22⋊C4—121no—
1362C22⋊C4—121no—
1363C22⋊C4—121no—
1364C22⋊C4—121no—
1365C22⋊C4—121no—
1366C22⋊C4—121no—
1367C22⋊C4D3×D414yes—
1368C42—41no—
1369C42—62no—
1370C42—62no—
1371C42—62no—
1372C42—121no—
1373C42—121no—
1374C22×C3—22no—
1375C22×C3—22no—
1376C22×C3—22no—
1377C22×C3—41no—
1378C22×C3—41no—
1379C22×C3—41no—
1380C22×C3—41no—
1381C22×C3—41no—
1382C22×C3—41no—
1383C22×C3—41no—
1384C22×C3—41no—
1385C22×C3—41no—
1386C22×C3—41no—
1387C22×C3—41no—
1388C22×C3—41no—
1389C22×C3—41no—
1390C22×C3—41no—
1391C22×C3—41no—
1392C22×C3—41no—
1393C22×C3—41no—
1394C22×C3—41no—
1395C22×C3C23×D411yescharacteristic
1396C22×C3C2×H(5,𝔽2)11yescharacteristic
1397C22×C3C2×H(5,𝔽2)11yescharacteristic
1398C22×C3#58511yescharacteristic
1399C22×C3#58511yescharacteristic
1400C22×C3#58511yescharacteristic
1401C22×C3#58511yescharacteristic
1402C2×D3—22no—
1403C2×D3—22no—
1404C2×D3—22no—
1405C2×D3—22no—
1406C2×D3—22no—
1407C2×D3—22no—
1408C2×D3—22no—
1409C2×D3—22no—
1410C2×D3—22no—
1411C2×D3—416no—
1412C2×D3—41no—
1413C2×D3—41no—
1414C2×D3—41no—
1415C2×D3—41no—
1416C2×D3—41no—
1417C2×D3—41no—
1418C2×D3—41no—
1419C2×D3—41no—
1420C2×D3—41no—
1421C2×D3—41no—
1422C2×D3—41no—
1423C2×D3—41no—
1424C2×D3—41no—
1425C2×D3—41no—
1426C2×D3—41no—
1427C2×D3—41no—
1428C2×D3—41no—
1429C2×D3—41no—
1430C2×D3—41no—
1431C3×C4—22no—
1432C3×C4—22no—
1433C3×C4—22no—
1434C3×C4—41no—
1435C3×C4—41no—
1436C3×C4—41no—
1437C3×C4—41no—
1438C3×C4—41no—
1439C3×C4—41no—
1440C3×C4—41no—
1441C3×C4—41no—
1442C3×C4—41no—
1443Dic3—22no—
1444Dic3—22no—
1445Dic3—41no—
1446Dic3—41no—
1447Dic3—41no—
1448Dic3—41no—
1449Dic3—41no—
1450Dic3—41no—
1451Dic3—41no—
1452Dic3—41no—
1453Dic3—41no—
1454Dic3—41no—
1455C23—21no—
1456C23—21no—
1457C23—21no—
1458C23—21no—
1459C23—21no—
1460C23—21no—
1461C23—21no—
1462C23—21no—
1463C23—21no—
1464C23—21no—
1465C23—21no—
1466C23—21no—
1467C23—21no—
1468C23—21no—
1469C23—21no—
1470C23—21no—
1471C23—21no—
1472C23—21no—
1473C23—21no—
1474C23—21no—
1475C23—32no—
1476C23—32no—
1477C23—32no—
1478C23—61no—
1479C23—61no—
1480C23—61no—
1481C23—61no—
1482C23—61no—
1483C23—61no—
1484C23—61no—
1485C23—61no—
1486C23—61no—
1487C23—61no—
1488C23—61no—
1489C23—61no—
1490C23—61no—
1491C23—61no—
1492C23—61no—
1493C23—61no—
1494C23—61no—
1495C23—61no—
1496C23—61no—
1497C23—61no—
1498C23—61no—
1499C23—61no—
1500C23—61no—
1501C23—61no—
1502C23—61no—
1503C23—124no—
1504C23—124no—
1505C23—124no—
1506C23—124no—
1507C23—124no—
1508C23—124no—
1509C23—124no—
1510C23C2×D3×D412yes—
1511C23C24×D311yescharacteristic
1512Q8—44no—
1513D4—82no—
1514D4—82no—
1515D4—82no—
1516D4—124no—
1517D4—124no—
1518D4—124no—
1519D4—124no—
1520D4—124no—
1521D4—124no—
1522D4—124no—
1523D4—124no—
1524D4—242no—
1525D4—242no—
1526D4—242no—
1527D4—242no—
1528D4—242no—
1529D4—242no—
1530D4—242no—
1531C2×C4—21no—
1532C2×C4—21no—
1533C2×C4—21no—
1534C2×C4—21no—
1535C2×C4—21no—
1536C2×C4—21no—
1537C2×C4—21no—
1538C2×C4—21no—
1539C2×C4—21no—
1540C2×C4—21no—
1541C2×C4—21no—
1542C2×C4—21no—
1543C2×C4—21no—
1544C2×C4—21no—
1545C2×C4—21no—
1546C2×C4—21no—
1547C2×C4—21no—
1548C2×C4—21no—
1549C2×C4—21no—
1550C2×C4—21no—
1551C2×C4—21no—
1552C2×C4—21no—
1553C2×C4—21no—
1554C2×C4—21no—
1555C2×C4—21no—
1556C2×C4—21no—
1557C2×C4—21no—
1558C2×C4—21no—
1559C2×C4—21no—
1560C2×C4—21no—
1561C2×C4—21no—
1562C2×C4—21no—
1563C2×C4—21no—
1564C2×C4—32no—
1565C2×C4—32no—
1566C2×C4—44no—
1567C2×C4—68no—
1568C2×C4—61no—
1569C2×C4—61no—
1570C2×C4—61no—
1571C2×C4—61no—
1572C2×C4—61no—
1573C2×C4—61no—
1574C2×C4—61no—
1575C2×C4—61no—
1576C2×C4—61no—
1577C2×C4—61no—
1578C2×C4—61no—
1579C2×C4—61no—
1580C2×C4—61no—
1581C2×C4—61no—
1582C2×C4—61no—
1583C2×C4—61no—
1584C2×C4—61no—
1585C2×C4—61no—
1586C2×C4—61no—
1587C2×C4—61no—
1588C2×C4—61no—
1589C2×C4—61no—
1590C2×C4—61no—
1591C2×C4—61no—
1592C2×C4—61no—
1593C2×C4—61no—
1594C2×C4—61no—
1595C2×C4—61no—
1596C2×C4—61no—
1597C2×C4—61no—
1598C2×C4—61no—
1599C2×C4—61no—
1600C2×C4—61no—
1601C2×C4—61no—
1602C2×C4—82no—
1603C2×C4—124no—
1604C2×C4—124no—
1605C2×C4—124no—
1606C2×C4—124no—
1607C2×C4—124no—
1608C2×C4—124no—
1609C2×C4—242no—
1610C2×C4—242no—
1611C2×C4—242no—
1612C2×C4C2×D3×D412yes—
1613C2×C4C2×D3×D412yes—
1614C2×C4#100412yes—
1615C2×C3—42no—
1616C2×C3—81no—
1617C2×C3—81no—
1618C2×C3#348411yescharacteristic
1619C2×C3#348511yescharacteristic
1620C2×C3#348511yescharacteristic
1621C2×C3#352911yescharacteristic
1622C2×C3#353911yescharacteristic
1623C2×C3#353911yescharacteristic
1624C2×C3#354011yescharacteristic
1625D3—42no—
1626D3—42no—
1627D3—42no—
1628D3—81no—
1629C22—22no—
1630C22—22no—
1631C22—22no—
1632C22—41no—
1633C22—41no—
1634C22—41no—
1635C22—41no—
1636C22—41no—
1637C22—41no—
1638C22—41no—
1639C22—41no—
1640C22—41no—
1641C22—41no—
1642C22—41no—
1643C22—41no—
1644C22—41no—
1645C22—41no—
1646C22—41no—
1647C22—41no—
1648C22—41no—
1649C22—41no—
1650C22—62no—
1651C22—62no—
1652C22—62no—
1653C22—62no—
1654C22—62no—
1655C22—62no—
1656C22—62no—
1657C22—62no—
1658C22—62no—
1659C22—1216no—
1660C22—121no—
1661C22—121no—
1662C22—121no—
1663C22—121no—
1664C22—121no—
1665C22—121no—
1666C22—121no—
1667C22—121no—
1668C22—121no—
1669C22—121no—
1670C22—121no—
1671C22—121no—
1672C22—121no—
1673C22—121no—
1674C22—121no—
1675C22—121no—
1676C22—121no—
1677C22—121no—
1678C22—121no—
1679C22C22×D3×D411yescharacteristic
1680C22C2×#100411yescharacteristic
1681C22#596411yescharacteristic
1682C22D3×H(5,𝔽2)11yescharacteristic
1683C22#596611yescharacteristic
1684C22#596811yescharacteristic
1685C22#596811yescharacteristic
1686C4—22no—
1687C4—22no—
1688C4—22no—
1689C4—41no—
1690C4—41no—
1691C4—41no—
1692C4—41no—
1693C4—41no—
1694C4—41no—
1695C4—41no—
1696C4—41no—
1697C4—41no—
1698C4—62no—
1699C4—62no—
1700C4—121no—
1701C4—121no—
1702C4—121no—
1703C4—121no—
1704C4—121no—
1705C4—121no—
1706C4—121no—
1707C4—121no—
1708C4—121no—
1709C4—121no—
1710C3#4544011yescharacteristic, complemented, Sylow
1711C2—42no—
1712C2—81no—
1713C2—81no—
1714C2—122no—
1715C2—122no—
1716C2—122no—
1717C2—241no—
1718C2#8635411yescharacteristic
1719C2#8637111yescharacteristic
1720C2#8643611yescharacteristic
1721C2#8662011yescharacteristic
1722C2#8666311yescharacteristic
1723C2#8674011yescharacteristic
1724C2#8709311yescharacteristic
subgroupG/H
center, FrattiniC23C24×D3
commutator, socle, cosocleC23×C3C25
FittingC3×#2681C2
hypercenter#2681D3
hypocenterC3#45440
LCSG ▷ C23×C3 ▷ C3
UCSC1 ◁ C23 ◁ #2681

Complements

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

NH ≅ G/Ntype
1. C2×#5627C2semidirect
2. C2×#5620C2semidirect
3. C3×#2681C2semidirect
4. #82912C2semidirect
5. #82905C2semidirect
6. #82828C2semidirect
7. #82812C2semidirect
8. #82795C2semidirect
9. #82657C2semidirect
10. #77983C2semidirect
11. #77947C2semidirect
12. #77439C2semidirect
13. #77293C2semidirect
14. #77158C2semidirect
15. #77158C2semidirect
16. #77134C2semidirect
17. #77118C2semidirect
18. #76929C2semidirect
19. #76900C2semidirect
20. #76878C2semidirect
21. #76864C2semidirect
22. #76387C2semidirect
23. #76318C2semidirect
24. #76265C2semidirect
25. #76025C2semidirect
26. #75840C2semidirect
27. #75519C2semidirect
28. #74936C2semidirect
29. #74810C2semidirect
30. #74638C2semidirect
31. #74611C2semidirect
37. C2×C3×C22⋊Q8C22semidirect
50. C2×C4×#67C22semidirect
63. C2×#884C22semidirect
66. C2×#883C22semidirect
72. C3×#398C22semidirect
73. C3×#396C22semidirect
76. C3×#394C22semidirect
77. C3×#393C22semidirect
78. C3×#390C22semidirect
79. C3×#389C22semidirect
82. C3×#385C22semidirect
83. #5230C22semidirect
84. #5229C22semidirect
87. #5223C22semidirect
88. #5221C22semidirect
92. #5210C22semidirect
93. #4994C22semidirect
94. #4993C22semidirect
99. #4991C22semidirect
105. #4989C22semidirect
106. #4989C22semidirect
108. #4987C22semidirect
109. #4987C22semidirect
110. #4986C22semidirect
111. #4985C22semidirect
112. #4982C22semidirect
113. #4982C22semidirect
114. #4981C22semidirect
115. #4980C22semidirect
116. #4978C22semidirect
117. #4978C22semidirect
118. #4976C22semidirect
119. #4975C22semidirect
120. #4972C22semidirect
125. #4961C22semidirect
126. #4961C22semidirect
131. #4960C22semidirect
134. #4959C22semidirect
135. #4959C22semidirect
136. #4958C22semidirect
145. #4956C22semidirect
146. #4956C22semidirect
147. #4956C22semidirect
152. #4952C22semidirect
154. #4951C22semidirect
156. #4950C22semidirect
157. #4945C22semidirect
158. #4945C22semidirect
160. #4942C22semidirect
161. Dic3×C22⋊C4C22semidirect
163. #4940C22semidirect
165. C4×C4⋊Dic3C22semidirect
166. #4675C22semidirect
172. #4670C22semidirect
173. #4670C22semidirect
177. #4668C22semidirect
180. #4665C22semidirect
183. #4664C22semidirect
184. D3×#95C22semidirect
185. #4661C22semidirect
186. #4661C22semidirect
187. #4660C22semidirect
188. #4653C22semidirect
189. #4647C22semidirect
204. #2681D3semidirect
379. #882D4semidirect
436. C2×C22⋊Q8C2×D3semidirect
465. #398C2×D3semidirect
475. #396C2×D3semidirect
494. #394C2×D3semidirect
495. #393C2×D3semidirect
509. #390C2×D3semidirect
513. #389C2×D3semidirect
559. #385C2×D3semidirect
1710. C3#45440semidirect

Maximal subgroups

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

subgroupindex
C2×#56272
C2×#56202
C3×#26812
#829122
#829052
#828282
#828122
#827952
#826572
#779832
#779472
#774392
#772932
#771582
#771342
#771182
#769292
#769002
#768782
#768642
#763872
#763182
#762652
#760252
#758402
#755192
#749362
#748102
#746382
#746112
#454403