Finite Group Databasebeta

← #11235543

Subgroups — #11235543

Order 768.

2418 conjugacy classes of subgroups.

The subgroup lattice has 1670 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#5712C211yesmaximal, characteristic, complemented
2C2×#5606C211yesmaximal, characteristic, complemented
3C3×#2714C211yesmaximal, characteristic, complemented
4#83080C211yesmaximal, characteristic, complemented
5#82695C211yesmaximal, characteristic, complemented
6#77575C211yesmaximal, characteristic, complemented
7#77471C211yesmaximal, characteristic, complemented
8#77085C211yesmaximal, characteristic, complemented
9#77025C211yesmaximal, characteristic, complemented
10#76908C211yesmaximal, characteristic, complemented
11#76904C211yesmaximal, characteristic, complemented
12#76775C211yesmaximal, characteristic, complemented
13#76772C211yesmaximal, characteristic, complemented
14#76767C211yesmaximal, characteristic, complemented
15#76684C211yesmaximal, characteristic, complemented
16#76681C211yesmaximal, characteristic, complemented
17#76668C211yesmaximal, characteristic, complemented
18#76468C211yesmaximal, characteristic, complemented
19#76467C211yesmaximal, characteristic, complemented
20#76465C211yesmaximal, characteristic, complemented
21#76327C211yesmaximal, characteristic, complemented
22#76325C211yesmaximal, characteristic, complemented
23#76322C211yesmaximal, characteristic, complemented
24#75915C211yesmaximal, characteristic, complemented
25#75518C211yesmaximal, characteristic, complemented
26#75314C211yesmaximal, characteristic, complemented
27#75012C211yesmaximal, characteristic, complemented
28#74936C211yesmaximal, characteristic, complemented
29#74830C211yesmaximal, characteristic, complemented
30#74655C211yesmaximal, characteristic, complemented
31#74539C211yesmaximal, characteristic, complemented
32#45450—31nomaximal, Sylow
33C22×#237C2211yescharacteristic
34C23×C4×D3C2211yescharacteristic
35C2×C3×#126C2211yescharacteristic, complemented
36C2×C3×#121C2211yescharacteristic
37C2×#939C2211yescharacteristic
38C2×#938C2211yescharacteristic
39C2×#937C2211yescharacteristic
40C2×#937C2211yescharacteristic
41C2×#937C2211yescharacteristic
42C2×D4×Dic3C2211yescharacteristic
43C2×D4×Dic3C2211yescharacteristic
44C2×D4×Dic3C2211yescharacteristic, complemented
45C2×#924C2211yescharacteristic
46#5712—28no—
47#5606—28no—
48C2×#898C2211yescharacteristic
49C2×#897C2211yescharacteristic
50C2×#896C2211yescharacteristic
51C2×#896C2211yescharacteristic
52C2×#892C2211yescharacteristic
53C2×#890C2211yescharacteristic, complemented
54C2×#889C2211yescharacteristic, complemented
55C2×#888C2211yescharacteristic, complemented
56C2×#886C2211yescharacteristic
57C2×#885C2211yescharacteristic
58C2×#885C2211yescharacteristic
59C2×#883C2211yescharacteristic
60C2×#883C2211yescharacteristic
61C2×#883C2211yescharacteristic
62C2×#883C2211yescharacteristic
63C2×#67⋊C4C2211yescharacteristic
64C2×#67⋊C4C2211yescharacteristic
65C2×#879C2211yescharacteristic, complemented
66C2×#878C2211yescharacteristic
67C2×#878C2211yescharacteristic, complemented
68C2×#878C2211yescharacteristic, complemented
69C2×#878C2211yescharacteristic, complemented
70C2×#876C2211yescharacteristic
71C2×#869C2211yescharacteristic, complemented
72C3×#397C2211yescharacteristic, complemented
73C3×#394C2211yescharacteristic, complemented
74C3×#394C2211yescharacteristic, complemented
75C3×#392C2211yescharacteristic
76C3×#392C2211yescharacteristic
77C3×#392C2211yescharacteristic, complemented
78C3×#390C2211yescharacteristic
79C3×#390C2211yescharacteristic
80C3×#390C2211yescharacteristic, complemented
81C3×#388C2211yescharacteristic, complemented
82C3×#387C2211yescharacteristic, complemented
83C3×#386C2211yescharacteristic
84C3×#385C2211yescharacteristic
85#5223C2211yescharacteristic
86#5223C2211yescharacteristic
87#5223C2211yescharacteristic
88#5222C2211yescharacteristic
89#5222C2211yescharacteristic
90#5222C2211yescharacteristic, complemented
91#5222C2211yescharacteristic, complemented
92#5222C2211yescharacteristic, complemented
93#5222C2211yescharacteristic, complemented
94#5221C2211yescharacteristic
95#5221C2211yescharacteristic
96#5221C2211yescharacteristic
97#5220C2211yescharacteristic
98#5220C2211yescharacteristic
99#5220C2211yescharacteristic, complemented
100#5210C2211yescharacteristic
101#5210C2211yescharacteristic
102#4994C2211yescharacteristic
103#4993C2211yescharacteristic
104#4990C2211yescharacteristic
105#4989C2211yescharacteristic
106#4989C2211yescharacteristic
107#4984C2211yescharacteristic, complemented
108#4983C2211yescharacteristic, complemented
109#4981C2211yescharacteristic, complemented
110#4980C2211yescharacteristic, complemented
111#4979C2211yescharacteristic, complemented
112#4972C2211yescharacteristic, complemented
113#4972C2211yescharacteristic, complemented
114#4961C2211yescharacteristic
115#4961C2211yescharacteristic
116#4961C2211yescharacteristic
117#4961C2211yescharacteristic
118#4961C2211yescharacteristic
119#4959C2211yescharacteristic
120#4959C2211yescharacteristic
121#4959C2211yescharacteristic
122#4959C2211yescharacteristic
123#4959C2211yescharacteristic
124#4957C2211yescharacteristic
125#4957C2211yescharacteristic
126#4957C2211yescharacteristic
127#4956C2211yescharacteristic
128#4956C2211yescharacteristic
129#4955C2211yescharacteristic
130#4955C2211yescharacteristic
131#4955C2211yescharacteristic
132#4950C2211yescharacteristic
133#4950C2211yescharacteristic, complemented
134#4950C2211yescharacteristic, complemented
135#4949C2211yescharacteristic
136#4949C2211yescharacteristic, complemented
137#4949C2211yescharacteristic, complemented
138#4949C2211yescharacteristic, complemented
139#4949C2211yescharacteristic, complemented
140#4948C2211yescharacteristic
141#4948C2211yescharacteristic
142#4948C2211yescharacteristic, complemented
143#4948C2211yescharacteristic, complemented
144#4948C2211yescharacteristic, complemented
145#4948C2211yescharacteristic, complemented
146#4947C2211yescharacteristic
147#4947C2211yescharacteristic, complemented
148#4947C2211yescharacteristic, complemented
149#4946C2211yescharacteristic, complemented
150#4946C2211yescharacteristic, complemented
151#4945C2211yescharacteristic
152#4945C2211yescharacteristic, complemented
153#4944C2211yescharacteristic
154#4944C2211yescharacteristic, complemented
155#4944C2211yescharacteristic, complemented
156#4944C2211yescharacteristic, complemented
157#4942C2211yescharacteristic
158#4942C2211yescharacteristic, complemented
159Dic3×C22⋊C4C2211yescharacteristic, complemented
160#4940C2211yescharacteristic
161#4940C2211yescharacteristic
162#4940C2211yescharacteristic
163C4×C4⋊Dic3C2211yescharacteristic, complemented
164C4×Dic3⋊C4C2211yescharacteristic, complemented
165#4928C2211yescharacteristic, complemented
166#4674C2211yescharacteristic
167#4670C2211yescharacteristic
168#4670C2211yescharacteristic
169#4669C2211yescharacteristic
170#4668C2211yescharacteristic
171#4668C2211yescharacteristic
172#4668C2211yescharacteristic
173#4668C2211yescharacteristic
174#4667C2211yescharacteristic
175#4667C2211yescharacteristic
176#4664C2211yescharacteristic
177#4664C2211yescharacteristic
178#4661C2211yescharacteristic, complemented
179#4659C2211yescharacteristic, complemented
180#4657C2211yescharacteristic, complemented
181#4654C2211yescharacteristic, complemented
182#4653C2211yescharacteristic, complemented
183#4653C2211yescharacteristic, complemented
184#4653C2211yescharacteristic, complemented
185#4652C2211yescharacteristic, complemented
186#4647C2211yescharacteristic, complemented
187#4647C2211yescharacteristic, complemented
188#4646C2211yescharacteristic, complemented
189#4646C2211yescharacteristic, complemented
190C2×#563—31no—
191C2×#525—31no—
192#2849—31no—
193#2848—31no—
194#2816—31no—
195#2813—31no—
196#2732—31no—
197#2729—31no—
198#2714D311yescharacteristic, complemented
199#2711—31no—
200#2705—31no—
201#2694—31no—
202#2685—31no—
203#2685—31no—
204#2681—31no—
205#2678—31no—
206#2674—31no—
207#2670—31no—
208#2479—31no—
209#2475—31no—
210#2468—31no—
211#2467—31no—
212#2466—31no—
213#2463—31no—
214#2461—31no—
215#2455—31no—
216#2454—31no—
217#2452—31no—
218#2432—31no—
219#2407—31no—
220#2378—31no—
221C24×D3C2311yescharacteristic
222C22×C3×D4C2311yescharacteristic
223C22×C3×D4C2311yescharacteristic
224C22×C3×D4C2311yescharacteristic
225C22×C3×D4C2311yescharacteristic
226C22×C3×D4C2311yescharacteristic
227C22×C3×D4C2311yescharacteristic
228C23×C3×C4C2311yescharacteristic
229C22×#67C2311yescharacteristic
230C22×#67C2311yescharacteristic
231C22×#67C2311yescharacteristic
232C22×#67C2311yescharacteristic
233C22×#67C2311yescharacteristic
234C22×#67C2311yescharacteristic
235C23×Dic3C2311yescharacteristic
236C23×Dic3C2311yescharacteristic
237C23×Dic3C2311yescharacteristic
238C23×Dic3C2311yescharacteristic
239C2×#237—24no—
240C2×#237—42no—
241C2×#237—42no—
242C22×C4×D3—24no—
243C22×C4×D3—42no—
244C22×C4×D3—42no—
245C22×C4×D3C2311yescharacteristic
246C22×C4×D3C2311yescharacteristic
247C22×C4×D3C2311yescharacteristic
248C22×C4×D3C2311yescharacteristic
249C22×Dic6C2311yescharacteristic
250C22×Dic6C2311yescharacteristic
251C22×Dic6C2311yescharacteristic
252C3×#126—24no—
253C3×#121—24no—
254C2×C3×C4⋊C4C2311yescharacteristic
255C2×C3×C4⋊C4C2311yescharacteristic
256C2×C3×C4⋊C4C2311yescharacteristic
257C2×C3×C4⋊C4C2311yescharacteristic
258C2×C3×C4⋊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×C22⋊C4C2311yescharacteristic
272C2×C3×C22⋊C4C2311yescharacteristic
273C2×C3×C22⋊C4C2311yescharacteristic
274C2×C3×C42C2311yescharacteristic
275C2×C3×C42C2311yescharacteristic
276C2×#217C2311yescharacteristic
277C2×#217C2311yescharacteristic
278C2×#217C2311yescharacteristic
279C2×#217C2311yescharacteristic
280C2×#217C2311yescharacteristic
281C2×#217C2311yescharacteristic
282C2×#217C2311yescharacteristic
283C2×#217C2311yescharacteristic
284C2×#217C2311yescharacteristic
285C2×#217C2311yescharacteristic
286C2×#217C2311yescharacteristic
287C2×#217C2311yescharacteristic
288C2×#217C2311yescharacteristic
289C2×#217C2311yescharacteristic
290C2×#217C2311yescharacteristic
291C2×#217C2311yescharacteristic
292C2×#217C2311yescharacteristic
293C2×#217C2311yescharacteristic
294C2×#217C2311yescharacteristic
295C2×#217C2311yescharacteristic
296C2×#217C2311yescharacteristic
297#939—42no—
298#938—24no—
299#937—24no—
300#937—24no—
301#937—42no—
302D4×Dic3—24no—
303D4×Dic3—24no—
304D4×Dic3—42no—
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×C4⋊Dic3C2311yescharacteristic
324C2×C4⋊Dic3C2311yescharacteristic
325C2×C4⋊Dic3C2311yescharacteristic
326C2×C4⋊Dic3C2311yescharacteristic
327C2×C4⋊Dic3C2311yescharacteristic
328C2×C4⋊Dic3C2311yescharacteristic
329C2×C4⋊Dic3C2311yescharacteristic
330C2×C4⋊Dic3C2311yescharacteristic
331C2×C4⋊Dic3C2311yescharacteristic
332C2×C4⋊Dic3C2311yescharacteristic
333C2×C4⋊Dic3C2311yescharacteristic
334C2×C4⋊Dic3C2311yescharacteristic
335#924—24no—
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×Dic3⋊C4C2311yescharacteristic
351C2×Dic3⋊C4C2311yescharacteristic
352C2×Dic3⋊C4C2311yescharacteristic
353C2×Dic3⋊C4C2311yescharacteristic
354C2×Dic3⋊C4C2311yescharacteristic
355C2×Dic3⋊C4C2311yescharacteristic
356C2×C4×Dic3C2311yescharacteristic
357C2×C4×Dic3C2311yescharacteristic
358C2×C4×Dic3C2311yescharacteristic
359C2×C4×Dic3C2311yescharacteristic
360C2×C4×Dic3C2311yescharacteristic
361C2×C4×Dic3C2311yescharacteristic
362C2×C4×Dic3C2311yescharacteristic
363#898—24no—
364#897D418yescomplemented
365#896—24no—
366#896—42no—
367#892—24no—
368#890—24no—
369#889—24no—
370#888—24no—
371#886—24no—
372#885—24no—
373#885—42no—
374#883—24no—
375#883—24no—
376#883—24no—
377#883—42no—
378#67⋊C4—24no—
379#67⋊C4—24no—
380#879—24no—
381#878—24no—
382#878—24no—
383#878—42no—
384#878—42no—
385#876—24no—
386#869—24no—
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#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—
430#525—68no—
431C2×#123—31no—
432C2×#123—31no—
433C2×#123—31no—
434C2×#123—31no—
435C2×#123—31no—
436C2×C22⋊Q8—31no—
437C2×C22⋊Q8—31no—
438C2×C22⋊Q8—31no—
439C2×C22⋊Q8—31no—
440C2×C22⋊Q8—31no—
441C2×C22⋊Q8—31no—
442C2×C22⋊Q8—31no—
443C2×C22⋊Q8—31no—
444C2×#121—31no—
445C2×#121—31no—
446C2×#121C2×D311yescharacteristic
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#399—31no—
458#399—31no—
459#399—31no—
460#399—31no—
461#399—31no—
462#399—31no—
463#398—31no—
464#398—31no—
465#398—31no—
466#398—31no—
467#397—31no—
468#397C2×D311yescharacteristic, complemented
469#396—31no—
470#396—31no—
471#396—31no—
472#396—31no—
473#396—31no—
474#396—31no—
475#396—31no—
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#394—31no—
493#394C2×D311yescharacteristic, complemented
494#394C2×D311yescharacteristic, complemented
495#393—31no—
496#393—31no—
497#393—31no—
498#392—31no—
499#392—31no—
500#392—31no—
501#392C2×D311yescharacteristic
502#392C2×D311yescharacteristic
503#392C2×D311yescharacteristic, complemented
504#391—31no—
505#391—31no—
506#390—31no—
507#390—31no—
508#390—31no—
509#390—31no—
510#390—31no—
511#390—31no—
512#390C2×D311yescharacteristic
513#390C2×D311yescharacteristic
514#390C2×D311yescharacteristic, complemented
515#389—31no—
516#389—31no—
517#389—31no—
518#389—31no—
519#389—31no—
520#389—31no—
521#388—31no—
522#388—31no—
523#388—31no—
524#388—31no—
525#388—31no—
526#388—31no—
527#388—31no—
528#388—31no—
529#388—31no—
530#388—31no—
531#388—31no—
532#388—31no—
533#388—31no—
534#388C2×D311yescharacteristic, complemented
535#387—31no—
536#387—31no—
537#387—31no—
538#387—31no—
539#387—31no—
540#387—31no—
541#387C2×D311yescharacteristic, complemented
542#386—31no—
543#386—31no—
544#386—31no—
545#386—31no—
546#386—31no—
547#386C2×D311yescharacteristic
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#385—31no—
560#385—31no—
561#385C2×D311yescharacteristic
562#381—31no—
563#381—31no—
564#380—31no—
565#380—31no—
566#380—31no—
567#380—31no—
568#379—31no—
569#379—31no—
570#379—31no—
571C4×C4⋊C4—31no—
572C4×C4⋊C4—31no—
573C4×C22⋊C4—31no—
574C24×C3C2411yescharacteristic
575C24×C3C2411yescharacteristic
576C24×C3C2411yescharacteristic
577C24×C3C2411yescharacteristic
578C23×D3—22no—
579C23×D3—22no—
580C23×D3—22no—
581C23×D3—41no—
582C23×D3—41no—
583C23×D3—41no—
584C23×D3—41no—
585C23×D3C2411yescharacteristic
586C23×D3C2411yescharacteristic
587C2×C3×D4—22no—
588C2×C3×D4—22no—
589C2×C3×D4—22no—
590C2×C3×D4—22no—
591C2×C3×D4—22no—
592C2×C3×D4—22no—
593C2×C3×D4—41no—
594C2×C3×D4—41no—
595C2×C3×D4—41no—
596C2×C3×D4—41no—
597C2×C3×D4—41no—
598C2×C3×D4—41no—
599C2×C3×D4—41no—
600C2×C3×D4—41no—
601C2×C3×D4—41no—
602C2×C3×D4—41no—
603C2×C3×D4—41no—
604C2×C3×D4—41no—
605C22×C3×C4—22no—
606C22×C3×C4—41no—
607C22×C3×C4—41no—
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
618C22×C3×C4C2411yescharacteristic
619C2×#67—22no—
620C2×#67—22no—
621C2×#67—22no—
622C2×#67—22no—
623C2×#67—22no—
624C2×#67—22no—
625C2×#67—22no—
626C2×#67—22no—
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—
637C22×Dic3—22no—
638C22×Dic3—22no—
639C22×Dic3—22no—
640C22×Dic3—22no—
641C22×Dic3—22no—
642C22×Dic3—22no—
643C22×Dic3—22no—
644C22×Dic3—41no—
645C22×Dic3—41no—
646C22×Dic3—41no—
647C22×Dic3—41no—
648C22×Dic3—41no—
649C22×Dic3C2411yescharacteristic
650C22×Dic3C2411yescharacteristic
651C22×Dic3C2411yescharacteristic
652C22×Dic3C2411yescharacteristic
653C22×Dic3C2411yescharacteristic
654C22×Dic3C2411yescharacteristic
655C22×Dic3C2411yescharacteristic
656C22×Dic3C2411yescharacteristic
657C22×Dic3C2411yescharacteristic
658C22×Dic3C2411yescharacteristic
659C22×Dic3C2411yescharacteristic
660C22×Dic3C2411yescharacteristic
661C22×Dic3C2411yescharacteristic
662C22×Dic3C2411yescharacteristic
663#237—416no—
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—416no—
672C2×C4×D3—41no—
673C2×C4×D3—41no—
674C2×C4×D3—41no—
675C2×C4×D3—41no—
676C2×C4×D3C2×D414yes—
677C2×Dic6—22no—
678C2×Dic6—22no—
679C2×Dic6—41no—
680C2×Dic6—41no—
681C2×Dic6—41no—
682C2×Dic6—41no—
683C2×Dic6—41no—
684C2×Dic6—41no—
685C2×Dic6C2×D414yes—
686C3×C4⋊C4—22no—
687C3×C4⋊C4—22no—
688C3×C4⋊C4—41no—
689C3×C4⋊C4—41no—
690C3×C4⋊C4C2×D414yes—
691C3×C22⋊C4—22no—
692C3×C22⋊C4—22no—
693C3×C22⋊C4—22no—
694C3×C22⋊C4—22no—
695C3×C22⋊C4—22no—
696C3×C22⋊C4—41no—
697C3×C22⋊C4—41no—
698C3×C22⋊C4—41no—
699C3×C22⋊C4—41no—
700C3×C22⋊C4—41no—
701C3×C22⋊C4—41no—
702C3×C22⋊C4—41no—
703C3×C22⋊C4—41no—
704C3×C22⋊C4—41no—
705C3×C22⋊C4—41no—
706C3×C42—22no—
707C3×C42—41no—
708#217—22no—
709#217—22no—
710#217—22no—
711#217—22no—
712#217—22no—
713#217—22no—
714#217—22no—
715#217—22no—
716#217—41no—
717#217—41no—
718#217—41no—
719#217—41no—
720#217—41no—
721#217—41no—
722#217—41no—
723#217—41no—
724#217—41no—
725#217—41no—
726#217—41no—
727#217—41no—
728#217—41no—
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—41no—
738(C2×D3)⋊C4—41no—
739(C2×D3)⋊C4—41no—
740(C2×D3)⋊C4—41no—
741(C2×D3)⋊C4—41no—
742(C2×D3)⋊C4—41no—
743(C2×D3)⋊C4—41no—
744(C2×D3)⋊C4—41no—
745(C2×D3)⋊C4C2×D414yes—
746(C2×D3)⋊C4C2×D414yes—
747C4⋊Dic3—22no—
748C4⋊Dic3—22no—
749C4⋊Dic3—22no—
750C4⋊Dic3—22no—
751C4⋊Dic3—22no—
752C4⋊Dic3—22no—
753C4⋊Dic3—22no—
754C4⋊Dic3—41no—
755C4⋊Dic3—41no—
756C4⋊Dic3—41no—
757C4⋊Dic3C2×D414yes—
758C4⋊Dic3C2×D414yes—
759Dic3⋊C4—22no—
760Dic3⋊C4—22no—
761Dic3⋊C4—22no—
762Dic3⋊C4—22no—
763Dic3⋊C4—22no—
764Dic3⋊C4—22no—
765Dic3⋊C4—22no—
766Dic3⋊C4—22no—
767Dic3⋊C4—22no—
768Dic3⋊C4—22no—
769Dic3⋊C4—41no—
770Dic3⋊C4—41no—
771Dic3⋊C4—41no—
772Dic3⋊C4—41no—
773Dic3⋊C4—41no—
774Dic3⋊C4—41no—
775Dic3⋊C4—41no—
776Dic3⋊C4—41no—
777Dic3⋊C4—41no—
778Dic3⋊C4—41no—
779C4×Dic3—22no—
780C4×Dic3—22no—
781C4×Dic3—22no—
782C4×Dic3—22no—
783C4×Dic3—41no—
784C4×Dic3—41no—
785C4×Dic3—41no—
786C25—31no—
787C2×#41—64no—
788C2×#41—122no—
789C2×#41—122no—
790C22×Q8—31no—
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×D4C22×D311yescharacteristic
800C22×D4C22×D311yescharacteristic
801C22×D4C22×D311yescharacteristic
802C22×D4C22×D311yescharacteristic
803C22×D4C22×D311yescharacteristic
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—64no—
814C23×C4—122no—
815C23×C4—122no—
816C23×C4C22×D311yescharacteristic
817C4⋊Q8—64no—
818C4⋊Q8—64no—
819#126—24no—
820#126—64no—
821#126—64no—
822#126—64no—
823#125—64no—
824#125—64no—
825#124—64no—
826#124—122no—
827#123—64no—
828#123—64no—
829#123—64no—
830#123—64no—
831#123—122no—
832C22⋊Q8—38no—
833C22⋊Q8—64no—
834C22⋊Q8—64no—
835C22⋊Q8—64no—
836C22⋊Q8—64no—
837C22⋊Q8—122no—
838C22⋊Q8—122no—
839C22⋊Q8—122no—
840#121—24no—
841#121—64no—
842#121—122no—
843#120—64no—
844#120—64no—
845#120—122no—
846C4×D4—64no—
847C4×D4—64no—
848C4×D4—64no—
849C4×D4—64no—
850C4×D4—122no—
851#117—64no—
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—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⋊C4C22×D311yescharacteristic
885C2×C4⋊C4C22×D311yescharacteristic
886C2×C4⋊C4C22×D311yescharacteristic
887C2×C4⋊C4C22×D311yescharacteristic
888C2×C4⋊C4C22×D311yescharacteristic
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—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⋊C4C22×D311yescharacteristic
929C2×C22⋊C4C22×D311yescharacteristic
930C2×C22⋊C4C22×D311yescharacteristic
931C2×C22⋊C4C22×D311yescharacteristic
932C2×C22⋊C4C22×D311yescharacteristic
933C2×C22⋊C4C22×D311yescharacteristic
934C2×C22⋊C4C22×D311yescharacteristic
935C2×C22⋊C4C22×D311yescharacteristic
936C2×C22⋊C4C22×D311yescharacteristic
937C2×C22⋊C4C22×D311yescharacteristic
938C2×C22⋊C4C22×D311yescharacteristic
939C2×C22⋊C4C22×D311yescharacteristic
940C2×C22⋊C4C22×D311yescharacteristic
941C2×C22⋊C4C22×D311yescharacteristic
942C2×C22⋊C4C22×D311yescharacteristic
943C2×C42—31no—
944C2×C42—31no—
945C2×C42—31no—
946C2×C42—31no—
947C2×C42—31no—
948C2×C42—31no—
949C2×C42—31no—
950C2×C42C22×D311yescharacteristic
951C2×C42C22×D311yescharacteristic
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#95—31no—
973#95—31no—
974#95—31no—
975#95—31no—
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×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×C32−1+412yes—
1010C23×C3C2511yescharacteristic
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—21no—
1021C22×D3—21no—
1022C22×D3—21no—
1023C22×D3—44no—
1024C22×D3—44no—
1025C22×D3—44no—
1026C22×D3—44no—
1027C22×D3—44no—
1028C22×D3—44no—
1029C22×D3—44no—
1030C22×D3C22×D412yes—
1031C22×D3H(5,𝔽2)12yes—
1032C3×D4—44no—
1033C3×D4—44no—
1034C3×D4—44no—
1035C3×D4—44no—
1036C3×D4—82no—
1037C3×D4—82no—
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—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—44no—
1069C2×C3×C4C22×D412yes—
1070C2×C3×C4C22×D412yes—
1071C2×C3×C4C22×D412yes—
1072#67—44no—
1073#67—44no—
1074#67—44no—
1075#67—44no—
1076#67—82no—
1077#67—82no—
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—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—44no—
1117C2×Dic3—44no—
1118C2×Dic3—44no—
1119C2×Dic3—82no—
1120C2×Dic3C22×D412yes—
1121C2×Dic3C22×D412yes—
1122C2×Dic3C22×D412yes—
1123C2×Dic3H(5,𝔽2)12yes—
1124C4×D3—28no—
1125C4×D3—44no—
1126C4×D3—44no—
1127C4×D3—44no—
1128Dic6—44no—
1129Dic6—82no—
1130Dic6—82no—
1131C24—31no—
1132C24—31no—
1133C24—62no—
1134C24—62no—
1135C24—62no—
1136C24—121no—
1137C24—121no—
1138C24—121no—
1139C24—121no—
1140C24C23×D311yescharacteristic
1141C24C23×D311yescharacteristic
1142C24C23×D311yescharacteristic
1143C24C23×D311yescharacteristic
1144#41—1216no—
1145C2×Q8—34no—
1146C2×Q8—62no—
1147C2×Q8—62no—
1148C2×Q8—121no—
1149C2×Q8—121no—
1150C2×Q8—121no—
1151C2×Q8—121no—
1152C2×Q8—121no—
1153C2×Q8—121no—
1154C2×D4—22no—
1155C2×D4—22no—
1156C2×D4—22no—
1157C2×D4—22no—
1158C2×D4—22no—
1159C2×D4—22no—
1160C2×D4—41no—
1161C2×D4—41no—
1162C2×D4—41no—
1163C2×D4—41no—
1164C2×D4—41no—
1165C2×D4—41no—
1166C2×D4—41no—
1167C2×D4—41no—
1168C2×D4—41no—
1169C2×D4—41no—
1170C2×D4—41no—
1171C2×D4—41no—
1172C2×D4—62no—
1173C2×D4—62no—
1174C2×D4—62no—
1175C2×D4—62no—
1176C2×D4—62no—
1177C2×D4—62no—
1178C2×D4—62no—
1179C2×D4—62no—
1180C2×D4—121no—
1181C2×D4—121no—
1182C2×D4—121no—
1183C2×D4—121no—
1184C2×D4—121no—
1185C2×D4—121no—
1186C2×D4—121no—
1187C2×D4—121no—
1188C2×D4—121no—
1189C2×D4—121no—
1190C22×C4—22no—
1191C22×C4—31no—
1192C22×C4—31no—
1193C22×C4—31no—
1194C22×C4—31no—
1195C22×C4—34no—
1196C22×C4—31no—
1197C22×C4—31no—
1198C22×C4—31no—
1199C22×C4—31no—
1200C22×C4—31no—
1201C22×C4—31no—
1202C22×C4—31no—
1203C22×C4—31no—
1204C22×C4—31no—
1205C22×C4—31no—
1206C22×C4—41no—
1207C22×C4—41no—
1208C22×C4—62no—
1209C22×C4—62no—
1210C22×C4—62no—
1211C22×C4—62no—
1212C22×C4—62no—
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—121no—
1223C22×C4—121no—
1224C22×C4—121no—
1225C22×C4—121no—
1226C22×C4—1216no—
1227C22×C4—121no—
1228C22×C4—121no—
1229C22×C4—121no—
1230C22×C4—121no—
1231C22×C4—121no—
1232C22×C4C23×D311yescharacteristic
1233C22×C4C23×D311yescharacteristic
1234C22×C4C23×D311yescharacteristic
1235C22×C4C23×D311yescharacteristic
1236C22×C4C23×D311yescharacteristic
1237C22×C4C23×D311yescharacteristic
1238C22×C4C23×D311yescharacteristic
1239C22×C4C23×D311yescharacteristic
1240C22×C4C23×D311yescharacteristic
1241C22×C4C23×D311yescharacteristic
1242C22×C4C23×D311yescharacteristic
1243C4⋊C4—22no—
1244C4⋊C4—22no—
1245C4⋊C4—34no—
1246C4⋊C4—34no—
1247C4⋊C4—41no—
1248C4⋊C4—41no—
1249C4⋊C4—62no—
1250C4⋊C4—62no—
1251C4⋊C4—62no—
1252C4⋊C4—62no—
1253C4⋊C4—62no—
1254C4⋊C4—62no—
1255C4⋊C4—62no—
1256C4⋊C4—62no—
1257C4⋊C4—62no—
1258C4⋊C4—62no—
1259C4⋊C4—62no—
1260C4⋊C4—62no—
1261C4⋊C4—62no—
1262C4⋊C4—62no—
1263C4⋊C4—62no—
1264C4⋊C4—62no—
1265C4⋊C4—62no—
1266C4⋊C4—121no—
1267C4⋊C4—121no—
1268C4⋊C4—121no—
1269C4⋊C4—121no—
1270C4⋊C4—121no—
1271C4⋊C4—121no—
1272C4⋊C4—121no—
1273C4⋊C4—121no—
1274C4⋊C4—121no—
1275C4⋊C4—121no—
1276C4⋊C4—121no—
1277C4⋊C4—121no—
1278C4⋊C4—121no—
1279C4⋊C4D3×D414yes—
1280C22⋊C4—22no—
1281C22⋊C4—22no—
1282C22⋊C4—22no—
1283C22⋊C4—22no—
1284C22⋊C4—22no—
1285C22⋊C4—34no—
1286C22⋊C4—34no—
1287C22⋊C4—41no—
1288C22⋊C4—41no—
1289C22⋊C4—41no—
1290C22⋊C4—41no—
1291C22⋊C4—41no—
1292C22⋊C4—41no—
1293C22⋊C4—41no—
1294C22⋊C4—41no—
1295C22⋊C4—41no—
1296C22⋊C4—41no—
1297C22⋊C4—62no—
1298C22⋊C4—62no—
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—121no—
1314C22⋊C4—121no—
1315C22⋊C4—121no—
1316C22⋊C4—121no—
1317C22⋊C4—121no—
1318C22⋊C4—121no—
1319C22⋊C4—121no—
1320C22⋊C4—121no—
1321C22⋊C4—121no—
1322C22⋊C4—121no—
1323C22⋊C4—121no—
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—
1334C42—22no—
1335C42—41no—
1336C42—62no—
1337C42—62no—
1338C42—62no—
1339C42—62no—
1340C42—121no—
1341C42—121no—
1342C42—121no—
1343C22×C3—22no—
1344C22×C3—22no—
1345C22×C3—22no—
1346C22×C3—41no—
1347C22×C3—41no—
1348C22×C3—41no—
1349C22×C3—41no—
1350C22×C3—41no—
1351C22×C3—41no—
1352C22×C3—41no—
1353C22×C3—41no—
1354C22×C3—41no—
1355C22×C3—41no—
1356C22×C3—41no—
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×C3—41no—
1366C22×C3—41no—
1367C22×C3—41no—
1368C22×C3—41no—
1369C22×C3—41no—
1370C22×C3—41no—
1371C22×C3C23×D411yescharacteristic
1372C22×C3C2×H(5,𝔽2)11yescharacteristic
1373C22×C3C2×H(5,𝔽2)11yescharacteristic
1374C22×C3C2×2−1+411yescharacteristic
1375C22×C3#58511yescharacteristic
1376C22×C3#58511yescharacteristic
1377C22×C3#58511yescharacteristic
1378C2×D3—22no—
1379C2×D3—22no—
1380C2×D3—22no—
1381C2×D3—22no—
1382C2×D3—22no—
1383C2×D3—22no—
1384C2×D3—416no—
1385C2×D3—41no—
1386C2×D3—41no—
1387C2×D3—41no—
1388C2×D3—41no—
1389C2×D3—41no—
1390C2×D3—41no—
1391C2×D3—41no—
1392C2×D3—41no—
1393C3×C4—22no—
1394C3×C4—22no—
1395C3×C4—22no—
1396C3×C4—41no—
1397C3×C4—41no—
1398C3×C4—41no—
1399C3×C4—41no—
1400C3×C4—41no—
1401C3×C4—41no—
1402C3×C4—41no—
1403C3×C4—41no—
1404Dic3—22no—
1405Dic3—22no—
1406Dic3—22no—
1407Dic3—22no—
1408Dic3—41no—
1409Dic3—41no—
1410Dic3—41no—
1411Dic3—41no—
1412Dic3—41no—
1413Dic3—41no—
1414Dic3—41no—
1415Dic3—41no—
1416Dic3—41no—
1417Dic3—41no—
1418C23—21no—
1419C23—21no—
1420C23—21no—
1421C23—21no—
1422C23—21no—
1423C23—21no—
1424C23—21no—
1425C23—21no—
1426C23—21no—
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—21no—
1440C23—21no—
1441C23—21no—
1442C23—21no—
1443C23—21no—
1444C23—21no—
1445C23—32no—
1446C23—32no—
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—124no—
1460C23—124no—
1461C23—124no—
1462C23—124no—
1463C23—124no—
1464C23—124no—
1465C23—124no—
1466C23#101012yes—
1467C23C24×D311yescharacteristic
1468Q8—124no—
1469Q8—242no—
1470Q8—242no—
1471D4—44no—
1472D4—44no—
1473D4—44no—
1474D4—44no—
1475D4—82no—
1476D4—82no—
1477D4—124no—
1478D4—124no—
1479D4—124no—
1480D4—124no—
1481D4—242no—
1482D4—242no—
1483C2×C4—21no—
1484C2×C4—21no—
1485C2×C4—21no—
1486C2×C4—21no—
1487C2×C4—21no—
1488C2×C4—21no—
1489C2×C4—21no—
1490C2×C4—21no—
1491C2×C4—21no—
1492C2×C4—21no—
1493C2×C4—21no—
1494C2×C4—21no—
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—32no—
1514C2×C4—32no—
1515C2×C4—32no—
1516C2×C4—32no—
1517C2×C4—44no—
1518C2×C4—68no—
1519C2×C4—61no—
1520C2×C4—61no—
1521C2×C4—61no—
1522C2×C4—61no—
1523C2×C4—61no—
1524C2×C4—61no—
1525C2×C4—61no—
1526C2×C4—61no—
1527C2×C4—61no—
1528C2×C4—61no—
1529C2×C4—61no—
1530C2×C4—61no—
1531C2×C4—61no—
1532C2×C4—61no—
1533C2×C4—61no—
1534C2×C4—61no—
1535C2×C4—61no—
1536C2×C4—61no—
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—124no—
1558C2×C4—124no—
1559C2×C4—124no—
1560C2×C4—124no—
1561C2×C4—124no—
1562C2×C4—124no—
1563C2×C4—242no—
1564C2×C4C2×D3×D412yes—
1565C2×C4C2×D3×D412yes—
1566C2×C4C2×D3×D412yes—
1567C2×C3—42no—
1568C2×C3—81no—
1569C2×C3—81no—
1570C2×C3—81no—
1571C2×C3#348411yescharacteristic
1572C2×C3#348711yescharacteristic
1573C2×C3#348911yescharacteristic
1574C2×C3#352911yescharacteristic
1575C2×C3#353311yescharacteristic
1576C2×C3#353511yescharacteristic
1577C2×C3#354111yescharacteristic
1578D3—42no—
1579D3—42no—
1580C22—22no—
1581C22—22no—
1582C22—22no—
1583C22—41no—
1584C22—41no—
1585C22—41no—
1586C22—41no—
1587C22—41no—
1588C22—41no—
1589C22—41no—
1590C22—41no—
1591C22—41no—
1592C22—41no—
1593C22—41no—
1594C22—41no—
1595C22—41no—
1596C22—41no—
1597C22—41no—
1598C22—41no—
1599C22—41no—
1600C22—41no—
1601C22—41no—
1602C22—41no—
1603C22—41no—
1604C22—41no—
1605C22—41no—
1606C22—41no—
1607C22—41no—
1608C22—62no—
1609C22—62no—
1610C22—62no—
1611C22—62no—
1612C22—62no—
1613C22—62no—
1614C22—1216no—
1615C22—121no—
1616C22—121no—
1617C22—121no—
1618C22—121no—
1619C22—121no—
1620C22—121no—
1621C22—121no—
1622C22—121no—
1623C22C22×D3×D411yescharacteristic
1624C22C2×#101011yescharacteristic
1625C22#596411yescharacteristic
1626C22D3×H(5,𝔽2)11yescharacteristic
1627C22D3×H(5,𝔽2)11yescharacteristic
1628C22#596611yescharacteristic
1629C22#596611yescharacteristic
1630C4—22no—
1631C4—22no—
1632C4—22no—
1633C4—41no—
1634C4—41no—
1635C4—41no—
1636C4—41no—
1637C4—41no—
1638C4—41no—
1639C4—41no—
1640C4—41no—
1641C4—62no—
1642C4—62no—
1643C4—62no—
1644C4—62no—
1645C4—121no—
1646C4—121no—
1647C4—121no—
1648C4—121no—
1649C4—121no—
1650C4—121no—
1651C4—121no—
1652C4—121no—
1653C4—121no—
1654C4—121no—
1655C3#4545011yescharacteristic, complemented, Sylow
1656C2—42no—
1657C2—81no—
1658C2—81no—
1659C2—81no—
1660C2—122no—
1661C2—122no—
1662C2#8633011yescharacteristic
1663C2#8641911yescharacteristic
1664C2#8642211yescharacteristic
1665C2#8663011yescharacteristic
1666C2#8678311yescharacteristic
1667C2#8689411yescharacteristic
1668C2#8707011yescharacteristic
subgroupG/H
center, FrattiniC23C24×D3
commutator, socle, cosocleC23×C3C25
FittingC3×#2714C2
hypercenter#2714D3
hypocenterC3#45450
LCSG ▷ C23×C3 ▷ C3
UCSC1 ◁ C23 ◁ #2714

Complements

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

NH ≅ G/Ntype
1. C2×#5712C2semidirect
2. C2×#5606C2semidirect
3. C3×#2714C2semidirect
4. #83080C2semidirect
5. #82695C2semidirect
6. #77575C2semidirect
7. #77471C2semidirect
8. #77085C2semidirect
9. #77025C2semidirect
10. #76908C2semidirect
11. #76904C2semidirect
12. #76775C2semidirect
13. #76772C2semidirect
14. #76767C2semidirect
15. #76684C2semidirect
16. #76681C2semidirect
17. #76668C2semidirect
18. #76468C2semidirect
19. #76467C2semidirect
20. #76465C2semidirect
21. #76327C2semidirect
22. #76325C2semidirect
23. #76322C2semidirect
24. #75915C2semidirect
25. #75518C2semidirect
26. #75314C2semidirect
27. #75012C2semidirect
28. #74936C2semidirect
29. #74830C2semidirect
30. #74655C2semidirect
31. #74539C2semidirect
35. C2×C3×#126C22semidirect
44. C2×D4×Dic3C22semidirect
53. C2×#890C22semidirect
54. C2×#889C22semidirect
55. C2×#888C22semidirect
65. C2×#879C22semidirect
67. C2×#878C22semidirect
68. C2×#878C22semidirect
69. C2×#878C22semidirect
71. C2×#869C22semidirect
72. C3×#397C22semidirect
73. C3×#394C22semidirect
74. C3×#394C22semidirect
77. C3×#392C22semidirect
80. C3×#390C22semidirect
81. C3×#388C22semidirect
82. C3×#387C22semidirect
90. #5222C22semidirect
91. #5222C22semidirect
92. #5222C22semidirect
93. #5222C22semidirect
99. #5220C22semidirect
107. #4984C22semidirect
108. #4983C22semidirect
109. #4981C22semidirect
110. #4980C22semidirect
111. #4979C22semidirect
112. #4972C22semidirect
113. #4972C22semidirect
133. #4950C22semidirect
134. #4950C22semidirect
136. #4949C22semidirect
137. #4949C22semidirect
138. #4949C22semidirect
139. #4949C22semidirect
142. #4948C22semidirect
143. #4948C22semidirect
144. #4948C22semidirect
145. #4948C22semidirect
147. #4947C22semidirect
148. #4947C22semidirect
149. #4946C22semidirect
150. #4946C22semidirect
152. #4945C22semidirect
154. #4944C22semidirect
155. #4944C22semidirect
156. #4944C22semidirect
158. #4942C22semidirect
159. Dic3×C22⋊C4C22semidirect
163. C4×C4⋊Dic3C22semidirect
164. C4×Dic3⋊C4C22semidirect
165. #4928C22semidirect
178. #4661C22semidirect
179. #4659C22semidirect
180. #4657C22semidirect
181. #4654C22semidirect
182. #4653C22semidirect
183. #4653C22semidirect
184. #4653C22semidirect
185. #4652C22semidirect
186. #4647C22semidirect
187. #4647C22semidirect
188. #4646C22semidirect
189. #4646C22semidirect
198. #2714D3semidirect
364. #897D4semidirect
425. C2×#126C2×D3semidirect
468. #397C2×D3semidirect
493. #394C2×D3semidirect
494. #394C2×D3semidirect
503. #392C2×D3semidirect
514. #390C2×D3semidirect
534. #388C2×D3semidirect
541. #387C2×D3semidirect
1655. C3#45450semidirect

Maximal subgroups

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

subgroupindex
C2×#57122
C2×#56062
C3×#27142
#830802
#826952
#775752
#774712
#770852
#770252
#769082
#769042
#767752
#767722
#767672
#766842
#766812
#766682
#764682
#764672
#764652
#763272
#763252
#763222
#759152
#755182
#753142
#750122
#749362
#748302
#746552
#745392
#454503