Finite Group Databasebeta

← #11025228

Subgroups — #11025228

Order 768.

2600 conjugacy classes of subgroups.

The subgroup lattice has 1700 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×#935C211yesmaximal, characteristic, complemented
2C2×#5602C211yesmaximal, characteristic, complemented
3C3×#2408C211yesmaximal, characteristic
4#84047C211yesmaximal, characteristic, complemented
5#82694C211yesmaximal, characteristic, complemented
6#82685C211yesmaximal, characteristic, complemented
7#82655C211yesmaximal, characteristic, complemented
8#82585C211yesmaximal, characteristic, complemented
9#82585C211yesmaximal, characteristic, complemented
10#82579C211yesmaximal, characteristic, complemented
11Dic3×#120C211yesmaximal, characteristic, complemented
12#82360C211yesmaximal, characteristic, complemented
13D4×Dic3⋊C4C211yesmaximal, characteristic, complemented
14#77040C211yesmaximal, characteristic, complemented
15#77004C211yesmaximal, characteristic, complemented
16#76998C211yesmaximal, characteristic, complemented
17#76947C211yesmaximal, characteristic, complemented
18#76725C211yesmaximal, characteristic, complemented
19#76718C211yesmaximal, characteristic, complemented
20#76699C211yesmaximal, characteristic, complemented
21#76674C211yesmaximal, characteristic, complemented
22#76398C211yesmaximal, characteristic, complemented
23#76383C211yesmaximal, characteristic, complemented
24#76358C211yesmaximal, characteristic, complemented
25#76300C211yesmaximal, characteristic, complemented
26#73908C211yesmaximal, characteristic, complemented
27#73902C211yesmaximal, characteristic, complemented
28#73846C211yesmaximal, characteristic, complemented
29#73831C211yesmaximal, characteristic, complemented
30#73830C211yesmaximal, characteristic, complemented
31#73828C211yesmaximal, characteristic, complemented
32#37712—31nomaximal, Sylow
33C23×C3×D4C2211yescharacteristic
34C24×Dic3C2211yescharacteristic
35C2×C3×#121C2211yescharacteristic
36C2×C3×#121C2211yescharacteristic
37C2×C3×#120C2211yescharacteristic
38C2×C3×#120C2211yescharacteristic
39C2×C3×C4×D4C2211yescharacteristic
40C22×#217C2211yescharacteristic
41C22×#217C2211yescharacteristic
42C22×#217C2211yescharacteristic
43C22×#217C2211yescharacteristic
44C2×#935—28no—
45C2×#935C2211yescharacteristic
46C2×#935C2211yescharacteristic
47C2×#935C2211yescharacteristic
48C2×#935C2211yescharacteristic
49C2×#935C2211yescharacteristic
50C2×#935C2211yescharacteristic
51C2×#935C2211yescharacteristic
52C2×#935C2211yescharacteristic
53C2×#935C2211yescharacteristic
54C2×#935C2211yescharacteristic
55C2×#935C2211yescharacteristic, complemented
56C2×#935C2211yescharacteristic, complemented
57C2×D4×Dic3C2211yescharacteristic
58C2×D4×Dic3C2211yescharacteristic
59C2×D4×Dic3C2211yescharacteristic, complemented
60C2×D4×Dic3C2211yescharacteristic, complemented
61C2×D4×Dic3C2211yescharacteristic, complemented
62C2×#924C2211yescharacteristic, complemented
63C22×Dic3⋊C4C2211yescharacteristic
64C22×Dic3⋊C4C2211yescharacteristic
65C22×Dic3⋊C4C2211yescharacteristic, complemented
66#5602—28no—
67C2×#889C2211yescharacteristic, complemented
68C2×#889C2211yescharacteristic, complemented
69C2×#879C2211yescharacteristic, complemented
70C2×#879C2211yescharacteristic, complemented
71C2×#878C2211yescharacteristic
72C2×#878C2211yescharacteristic, complemented
73C2×#878C2211yescharacteristic, complemented
74C2×#878C2211yescharacteristic, complemented
75C3×#394C2211yescharacteristic
76C3×#394C2211yescharacteristic
77C3×#392C2211yescharacteristic
78C3×#392C2211yescharacteristic
79C3×#390C2211yescharacteristic
80C3×#390C2211yescharacteristic
81C3×#380C2211yescharacteristic
82C3×#379C2211yescharacteristic
83C3×#379C2211yescharacteristic
84#5247C2211yescharacteristic
85#5247C2211yescharacteristic
86#5247C2211yescharacteristic
87#5222C2211yescharacteristic
88#5222C2211yescharacteristic
89#5222C2211yescharacteristic
90#5222C2211yescharacteristic
91#5222C2211yescharacteristic, complemented
92#5222C2211yescharacteristic, complemented
93#5222C2211yescharacteristic, complemented
94#5222C2211yescharacteristic, complemented
95#5221C2211yescharacteristic, complemented
96#5220C2211yescharacteristic
97#5220C2211yescharacteristic
98#5220C2211yescharacteristic
99#5220C2211yescharacteristic
100#5220C2211yescharacteristic, complemented
101#5220C2211yescharacteristic, complemented
102#5220C2211yescharacteristic, complemented
103#5220C2211yescharacteristic, complemented
104#5220C2211yescharacteristic, complemented
105#5220C2211yescharacteristic, complemented
106#5210C2211yescharacteristic
107#5210C2211yescharacteristic
108#5210C2211yescharacteristic, complemented
109#5210C2211yescharacteristic, complemented
110#4985C2211yescharacteristic, complemented
111#4983C2211yescharacteristic, complemented
112#4982C2211yescharacteristic, complemented
113#4981C2211yescharacteristic, complemented
114#4981C2211yescharacteristic, complemented
115#4979C2211yescharacteristic, complemented
116#4978C2211yescharacteristic, complemented
117#4976C2211yescharacteristic, complemented
118#4975C2211yescharacteristic, complemented
119#4972C2211yescharacteristic, complemented
120#4953C2211yescharacteristic, complemented
121#4953C2211yescharacteristic, complemented
122#4953C2211yescharacteristic, complemented
123#4953C2211yescharacteristic, complemented
124#4952C2211yescharacteristic, complemented
125#4952C2211yescharacteristic, complemented
126#4952C2211yescharacteristic, complemented
127#4952C2211yescharacteristic, complemented
128#4951C2211yescharacteristic, complemented
129#4951C2211yescharacteristic, complemented
130#4951C2211yescharacteristic, complemented
131#4951C2211yescharacteristic, complemented
132#4950C2211yescharacteristic
133#4950C2211yescharacteristic
134#4950C2211yescharacteristic
135#4950C2211yescharacteristic, complemented
136#4950C2211yescharacteristic, complemented
137#4950C2211yescharacteristic, complemented
138#4950C2211yescharacteristic, complemented
139#4950C2211yescharacteristic, complemented
140#4950C2211yescharacteristic, complemented
141#4949C2211yescharacteristic, complemented
142#4949C2211yescharacteristic, complemented
143#4949C2211yescharacteristic, complemented
144#4949C2211yescharacteristic, complemented
145#4948C2211yescharacteristic, complemented
146#4948C2211yescharacteristic, complemented
147#4948C2211yescharacteristic, complemented
148#4948C2211yescharacteristic, complemented
149#4948C2211yescharacteristic, complemented
150#4947C2211yescharacteristic, complemented
151#4946C2211yescharacteristic
152#4946C2211yescharacteristic
153#4946C2211yescharacteristic
154#4946C2211yescharacteristic, complemented
155#4946C2211yescharacteristic, complemented
156#4946C2211yescharacteristic, complemented
157#4946C2211yescharacteristic, complemented
158#4945C2211yescharacteristic, complemented
159#4945C2211yescharacteristic, complemented
160#4944C2211yescharacteristic, complemented
161#4944C2211yescharacteristic, complemented
162#4944C2211yescharacteristic, complemented
163#4944C2211yescharacteristic, complemented
164#4944C2211yescharacteristic, complemented
165#4944C2211yescharacteristic, complemented
166#4942C2211yescharacteristic
167#4942C2211yescharacteristic
168#4942C2211yescharacteristic
169#4942C2211yescharacteristic, complemented
170#4942C2211yescharacteristic, complemented
171#4942C2211yescharacteristic, complemented
172#4942C2211yescharacteristic, complemented
173Dic3×C22⋊C4C2211yescharacteristic
174Dic3×C22⋊C4C2211yescharacteristic
175Dic3×C22⋊C4C2211yescharacteristic, complemented
176Dic3×C22⋊C4C2211yescharacteristic, complemented
177Dic3×C22⋊C4C2211yescharacteristic, complemented
178#4933C2211yescharacteristic, complemented
179C4×Dic3⋊C4C2211yescharacteristic, complemented
180#4928C2211yescharacteristic, complemented
181#4928C2211yescharacteristic, complemented
182#4658C2211yescharacteristic, complemented
183#4658C2211yescharacteristic, complemented
184#4657C2211yescharacteristic, complemented
185#4657C2211yescharacteristic, complemented
186#4652C2211yescharacteristic, complemented
187#4650C2211yescharacteristic, complemented
188#4647C2211yescharacteristic, complemented
189#4647C2211yescharacteristic, complemented
190C2×#539—31no—
191C22×#123—31no—
192#2848—31no—
193#2724—31no—
194#2718—31no—
195#2708—31no—
196#2706—31no—
197#2694—31no—
198#2693—31no—
199#2681—31no—
200#2680—31no—
201#2663—31no—
202#2630—31no—
203#2558—31no—
204#2553—31no—
205#2480—31no—
206#2480—31no—
207#2473—31no—
208#2455—31no—
209#2449—31no—
210#2443—31no—
211#2442—31no—
212#2437—31no—
213#2418—31no—
214#2418—31no—
215#2408D311yescharacteristic
216#2405—31no—
217#2358—31no—
218D4×C4⋊C4—31no—
219#2335—31no—
220C4×#120—31no—
221C25×C3C2311yescharacteristic
222C25×C3C2311yescharacteristic
223C22×C3×D4—24no—
224C22×C3×D4—42no—
225C22×C3×D4—42no—
226C22×C3×D4C2311yescharacteristic
227C22×C3×D4C2311yescharacteristic
228C22×C3×D4C2311yescharacteristic
229C22×C3×D4C2311yescharacteristic
230C22×C3×D4C2311yescharacteristic
231C22×C3×D4C2311yescharacteristic
232C22×C3×D4C2311yescharacteristic
233C22×C3×D4C2311yescharacteristic
234C22×C3×D4C2311yescharacteristic
235C23×C3×C4C2311yescharacteristic
236C23×C3×C4C2311yescharacteristic
237C23×Dic3—24no—
238C23×Dic3—42no—
239C23×Dic3—42no—
240C23×Dic3C2311yescharacteristic
241C23×Dic3C2311yescharacteristic
242C23×Dic3C2311yescharacteristic
243C23×Dic3C2311yescharacteristic
244C23×Dic3C2311yescharacteristic
245C23×Dic3C2311yescharacteristic
246C23×Dic3C2311yescharacteristic
247C23×Dic3C2311yescharacteristic
248C23×Dic3C2311yescharacteristic
249C23×Dic3C2311yescharacteristic
250C23×Dic3C2311yescharacteristic
251C23×Dic3C2311yescharacteristic
252C22×Dic6C2311yescharacteristic
253C3×#121—24no—
254C3×#121—42no—
255C3×#120—24no—
256C3×#120—24no—
257C3×C4×D4—42no—
258C2×C3×C4⋊C4C2311yescharacteristic
259C2×C3×C4⋊C4C2311yescharacteristic
260C2×C3×C4⋊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×C22⋊C4C2311yescharacteristic
275C2×C3×C22⋊C4C2311yescharacteristic
276C2×C3×C22⋊C4C2311yescharacteristic
277C2×C3×C42C2311yescharacteristic
278C2×#217—24no—
279C2×#217—24no—
280C2×#217—24no—
281C2×#217—42no—
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
297C2×#217C2311yescharacteristic
298C2×#217C2311yescharacteristic
299C2×#217C2311yescharacteristic
300C2×#217C2311yescharacteristic
301C2×#217C2311yescharacteristic
302C2×#217C2311yescharacteristic
303C2×#217C2311yescharacteristic
304C2×#217C2311yescharacteristic
305C2×#217C2311yescharacteristic
306C2×#217C2311yescharacteristic
307C2×#217C2311yescharacteristic
308C2×#217C2311yescharacteristic
309C2×#217C2311yescharacteristic
310C2×#217C2311yescharacteristic
311C2×#217C2311yescharacteristic
312C2×#217C2311yescharacteristic
313C2×#217C2311yescharacteristic
314C2×#217C2311yescharacteristic
315C2×#217C2311yescharacteristic
316C2×#217C2311yescharacteristic
317C2×#217C2311yescharacteristic
318#935—24no—
319#935—24no—
320#935—24no—
321#935—24no—
322#935—24no—
323#935—24no—
324#935—24no—
325#935—24no—
326#935—24no—
327#935—24no—
328#935—42no—
329#935D418yescomplemented
330D4×Dic3—24no—
331D4×Dic3—24no—
332D4×Dic3—24no—
333D4×Dic3—42no—
334D4×Dic3—42no—
335C2×C4⋊Dic3C2311yescharacteristic
336C2×C4⋊Dic3C2311yescharacteristic
337C2×C4⋊Dic3C2311yescharacteristic
338C2×C4⋊Dic3C2311yescharacteristic
339C2×C4⋊Dic3C2311yescharacteristic
340C2×C4⋊Dic3C2311yescharacteristic
341C2×C4⋊Dic3C2311yescharacteristic
342C2×C4⋊Dic3C2311yescharacteristic
343C2×C4⋊Dic3C2311yescharacteristic
344#924—24no—
345C2×Dic3⋊C4—24no—
346C2×Dic3⋊C4—24no—
347C2×Dic3⋊C4—24no—
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×Dic3⋊C4C2311yescharacteristic
360C2×Dic3⋊C4C2311yescharacteristic
361C2×Dic3⋊C4C2311yescharacteristic
362C2×Dic3⋊C4C2311yescharacteristic
363C2×Dic3⋊C4C2311yescharacteristic
364C2×Dic3⋊C4C2311yescharacteristic
365C2×Dic3⋊C4C2311yescharacteristic
366C2×Dic3⋊C4C2311yescharacteristic
367C2×Dic3⋊C4C2311yescharacteristic
368C2×Dic3⋊C4C2311yescharacteristic
369C2×Dic3⋊C4C2311yescharacteristic
370C2×Dic3⋊C4C2311yescharacteristic
371C2×Dic3⋊C4C2311yescharacteristic
372C2×Dic3⋊C4C2311yescharacteristic
373C2×Dic3⋊C4C2311yescharacteristic
374C2×C4×Dic3C2311yescharacteristic
375C2×C4×Dic3C2311yescharacteristic
376C2×C4×Dic3C2311yescharacteristic
377C2×C4×Dic3C2311yescharacteristic
378C2×C4×Dic3C2311yescharacteristic
379C2×C4×Dic3C2311yescharacteristic
380#889—24no—
381#889—24no—
382#879—24no—
383#879—24no—
384#878—24no—
385#878—24no—
386#878—42no—
387#878—42no—
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
417C3⋊#95C2311yescharacteristic
418C3⋊#95C2311yescharacteristic
419C3⋊#95C2311yescharacteristic
420C23×D4C2×D311yescharacteristic
421C24×C4—31no—
422#539—68no—
423C2×#126—31no—
424C2×#126—31no—
425C2×#125—31no—
426C2×#125—31no—
427C2×#123—31no—
428C2×#123—31no—
429C2×#123—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—68no—
440C2×C22⋊Q8—31no—
441C2×C22⋊Q8—31no—
442C2×C22⋊Q8—31no—
443C2×C22⋊Q8—31no—
444C2×C22⋊Q8—31no—
445C2×#121C2×D311yescharacteristic
446C2×#121C2×D311yescharacteristic
447C2×#120C2×D311yescharacteristic
448C2×#120C2×D311yescharacteristic
449C2×C4×D4—31no—
450C2×C4×D4—31no—
451C2×C4×D4—31no—
452C2×C4×D4—31no—
453C2×C4×D4—31no—
454C2×C4×D4C2×D311yescharacteristic
455C22×C4⋊C4—31no—
456C22×C4⋊C4—31no—
457C22×C4⋊C4—31no—
458C22×C22⋊C4—31no—
459C22×C22⋊C4—31no—
460C22×C22⋊C4—31no—
461C22×C22⋊C4—31no—
462#400—31no—
463#400—31no—
464#400—31no—
465#399—31no—
466#399—31no—
467#399—31no—
468#399—31no—
469#398—31no—
470#398—31no—
471#398—31no—
472#398—31no—
473#398—31no—
474#398—31no—
475#397—31no—
476#397—31no—
477#397—31no—
478#397—31no—
479#397—31no—
480#397—31no—
481#397—31no—
482#397—31no—
483#396—31no—
484#396—31no—
485#396—31no—
486#396—31no—
487#396—31no—
488#395—31no—
489#394—31no—
490#394—31no—
491#394—31no—
492#394—31no—
493#394—31no—
494#394—31no—
495#394—31no—
496#394—31no—
497#394C2×D311yescharacteristic
498#394C2×D311yescharacteristic
499#393—31no—
500#392C2×D311yescharacteristic
501#392C2×D311yescharacteristic
502#390—31no—
503#390C2×D311yescharacteristic
504#390C2×D311yescharacteristic
505#389—31no—
506#389—31no—
507#389—31no—
508#389—31no—
509#389—31no—
510#389—31no—
511#388—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#388—31no—
522#388—31no—
523#387—31no—
524#387—31no—
525#387—31no—
526#386—31no—
527#386—31no—
528#386—31no—
529#386—31no—
530#386—31no—
531#386—31no—
532#386—31no—
533#386—31no—
534#386—31no—
535#386—31no—
536#385—31no—
537#385—31no—
538#385—31no—
539#385—31no—
540#385—31no—
541#385—31no—
542#385—31no—
543#385—31no—
544#385—31no—
545#385—31no—
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#384—31no—
557#382—31no—
558#380—31no—
559#380—31no—
560#380—31no—
561#380—31no—
562#380—31no—
563#380—31no—
564#380—31no—
565#380C2×D311yescharacteristic
566#379—31no—
567#379—31no—
568#379—31no—
569#379C2×D311yescharacteristic
570#379C2×D311yescharacteristic
571C4×C4⋊C4—31no—
572C4×C22⋊C4—31no—
573C4×C22⋊C4—31no—
574C4×C22⋊C4—31no—
575C4×C22⋊C4—31no—
576C4×C22⋊C4—31no—
577C24×C3—22no—
578C24×C3—22no—
579C24×C3—22no—
580C24×C3—22no—
581C24×C3—22no—
582C24×C3—22no—
583C24×C3—22no—
584C24×C3—22no—
585C24×C3—22no—
586C24×C3—41no—
587C24×C3—41no—
588C24×C3—41no—
589C24×C3—41no—
590C24×C3—41no—
591C24×C3C2411yescharacteristic
592C24×C3C2411yescharacteristic
593C24×C3C2411yescharacteristic
594C24×C3C2411yescharacteristic
595C24×C3C2411yescharacteristic
596C24×C3C2411yescharacteristic
597C2×C3×D4—22no—
598C2×C3×D4—22no—
599C2×C3×D4—22no—
600C2×C3×D4—22no—
601C2×C3×D4—22no—
602C2×C3×D4—22no—
603C2×C3×D4—22no—
604C2×C3×D4—22no—
605C2×C3×D4—22no—
606C2×C3×D4—22no—
607C2×C3×D4—22no—
608C2×C3×D4—22no—
609C2×C3×D4—22no—
610C2×C3×D4—22no—
611C2×C3×D4—41no—
612C2×C3×D4—41no—
613C2×C3×D4—41no—
614C2×C3×D4—41no—
615C2×C3×D4—41no—
616C2×C3×D4—41no—
617C2×C3×D4—41no—
618C2×C3×D4—41no—
619C2×C3×D4—41no—
620C2×C3×D4—41no—
621C2×C3×D4—41no—
622C2×C3×D4—416no—
623C2×C3×D4C2×D414yes—
624C2×C3×D4#4114yes—
625C22×C3×C4—22no—
626C22×C3×C4—22no—
627C22×C3×C4—22no—
628C22×C3×C4—41no—
629C22×C3×C4—41no—
630C22×C3×C4—41no—
631C22×C3×C4C2411yescharacteristic
632C22×C3×C4C2411yescharacteristic
633C22×C3×C4C2411yescharacteristic
634C22×C3×C4C2411yescharacteristic
635C22×C3×C4C2411yescharacteristic
636C22×C3×C4C2411yescharacteristic
637C22×C3×C4C2411yescharacteristic
638C22×C3×C4C2411yescharacteristic
639C22×C3×C4C2411yescharacteristic
640C22×Dic3—22no—
641C22×Dic3—22no—
642C22×Dic3—22no—
643C22×Dic3—22no—
644C22×Dic3—22no—
645C22×Dic3—22no—
646C22×Dic3—22no—
647C22×Dic3—22no—
648C22×Dic3—22no—
649C22×Dic3—22no—
650C22×Dic3—22no—
651C22×Dic3—22no—
652C22×Dic3—22no—
653C22×Dic3—22no—
654C22×Dic3—22no—
655C22×Dic3—22no—
656C22×Dic3—22no—
657C22×Dic3—41no—
658C22×Dic3—41no—
659C22×Dic3—41no—
660C22×Dic3—41no—
661C22×Dic3—41no—
662C22×Dic3—41no—
663C22×Dic3—41no—
664C22×Dic3—41no—
665C22×Dic3—41no—
666C22×Dic3—41no—
667C22×Dic3—41no—
668C22×Dic3—41no—
669C22×Dic3—41no—
670C22×Dic3—41no—
671C22×Dic3—41no—
672C22×Dic3—41no—
673C22×Dic3—41no—
674C22×Dic3—41no—
675C22×Dic3—416no—
676C22×Dic3C2×D414yes—
677C22×Dic3C2411yescharacteristic
678C22×Dic3C2411yescharacteristic
679C22×Dic3C2411yescharacteristic
680C22×Dic3C2411yescharacteristic
681C22×Dic3C2411yescharacteristic
682C22×Dic3C2411yescharacteristic
683C22×Dic3C2411yescharacteristic
684C22×Dic3C2411yescharacteristic
685C22×Dic3C2411yescharacteristic
686C22×Dic3C2411yescharacteristic
687C22×Dic3C2411yescharacteristic
688C22×Dic3C2411yescharacteristic
689C22×Dic3C2411yescharacteristic
690C22×Dic3C2411yescharacteristic
691C22×Dic3C2411yescharacteristic
692C22×Dic3C2411yescharacteristic
693C2×Dic6—22no—
694C2×Dic6—41no—
695C2×Dic6—41no—
696C3×C4⋊C4—22no—
697C3×C4⋊C4—41no—
698C3×C4⋊C4—41no—
699C3×C22⋊C4—22no—
700C3×C22⋊C4—22no—
701C3×C22⋊C4—22no—
702C3×C22⋊C4—22no—
703C3×C22⋊C4—22no—
704C3×C22⋊C4—22no—
705C3×C22⋊C4—22no—
706C3×C22⋊C4—22no—
707C3×C22⋊C4—22no—
708C3×C22⋊C4—22no—
709C3×C22⋊C4—41no—
710C3×C22⋊C4—41no—
711C3×C22⋊C4—41no—
712C3×C22⋊C4—41no—
713C3×C22⋊C4—41no—
714C3×C22⋊C4—41no—
715C3×C42—41no—
716#217—22no—
717#217—22no—
718#217—22no—
719#217—22no—
720#217—22no—
721#217—22no—
722#217—22no—
723#217—22no—
724#217—22no—
725#217—22no—
726#217—22no—
727#217—22no—
728#217—22no—
729#217—22no—
730#217—22no—
731#217—22no—
732#217—22no—
733#217—22no—
734#217—22no—
735#217—22no—
736#217—22no—
737#217—41no—
738#217—41no—
739#217—41no—
740#217—41no—
741#217—41no—
742#217—41no—
743#217—41no—
744#217—41no—
745#217—41no—
746#217—41no—
747#217—41no—
748#217—41no—
749#217C2×D414yes—
750#217C2×D414yes—
751#217C2×D414yes—
752C4⋊Dic3—22no—
753C4⋊Dic3—22no—
754C4⋊Dic3—22no—
755C4⋊Dic3—22no—
756C4⋊Dic3—41no—
757C4⋊Dic3—41no—
758C4⋊Dic3—41no—
759C4⋊Dic3—41no—
760C4⋊Dic3—41no—
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—22no—
770Dic3⋊C4—22no—
771Dic3⋊C4—22no—
772Dic3⋊C4—22no—
773Dic3⋊C4—22no—
774Dic3⋊C4—22no—
775Dic3⋊C4—41no—
776Dic3⋊C4—41no—
777Dic3⋊C4—41no—
778Dic3⋊C4—41no—
779Dic3⋊C4—41no—
780Dic3⋊C4—41no—
781Dic3⋊C4—41no—
782Dic3⋊C4—41no—
783Dic3⋊C4—41no—
784Dic3⋊C4—41no—
785Dic3⋊C4C2×D414yes—
786Dic3⋊C4C2×D414yes—
787C4×Dic3—22no—
788C4×Dic3—22no—
789C4×Dic3—22no—
790C4×Dic3—41no—
791C4×Dic3—41no—
792C4×Dic3—41no—
793C25C22×D311yescharacteristic
794C25C22×D311yescharacteristic
795C22×Q8—31no—
796C22×D4—24no—
797C22×D4—42no—
798C22×D4—42no—
799C22×D4C22×D311yescharacteristic
800C22×D4C22×D311yescharacteristic
801C22×D4C22×D311yescharacteristic
802C22×D4C22×D311yescharacteristic
803C22×D4C22×D311yescharacteristic
804C22×D4C22×D311yescharacteristic
805C22×D4C22×D311yescharacteristic
806C22×D4C22×D311yescharacteristic
807C22×D4C22×D311yescharacteristic
808C23×C4—31no—
809C23×C4—31no—
810C23×C4—31no—
811C23×C4—31no—
812C23×C4—31no—
813C23×C4—31no—
814C23×C4—31no—
815C23×C4—31no—
816C23×C4—31no—
817C23×C4—31no—
818C23×C4—31no—
819C23×C4—31no—
820C23×C4—64no—
821C23×C4—122no—
822C23×C4—122no—
823C23×C4C22×D311yescharacteristic
824C23×C4C22×D311yescharacteristic
825#126—64no—
826#126—64no—
827#125—64no—
828#125—64no—
829#123—38no—
830#123—64no—
831#123—64no—
832#123—64no—
833#123—64no—
834#123—64no—
835#123—64no—
836#123—64no—
837#123—64no—
838#123—64no—
839#123—64no—
840#123—122no—
841C22⋊Q8—64no—
842C22⋊Q8—64no—
843C22⋊Q8—64no—
844C22⋊Q8—122no—
845C22⋊Q8—122no—
846#121—24no—
847#121—42no—
848#120—24no—
849#120—24no—
850C4×D4—42no—
851C4×D4—64no—
852C4×D4—64no—
853C4×D4—64no—
854C4×D4—122no—
855C4×D4—122no—
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⋊C4—31no—
885C2×C4⋊C4—31no—
886C2×C4⋊C4—31no—
887C2×C4⋊C4—31no—
888C2×C4⋊C4—31no—
889C2×C4⋊C4—31no—
890C2×C4⋊C4—31no—
891C2×C4⋊C4—64no—
892C2×C4⋊C4—64no—
893C2×C4⋊C4—64no—
894C2×C4⋊C4C22×D311yescharacteristic
895C2×C4⋊C4C22×D311yescharacteristic
896C2×C4⋊C4C22×D311yescharacteristic
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⋊C4—31no—
929C2×C22⋊C4—31no—
930C2×C22⋊C4—31no—
931C2×C22⋊C4—31no—
932C2×C22⋊C4—31no—
933C2×C22⋊C4—64no—
934C2×C22⋊C4—64no—
935C2×C22⋊C4—64no—
936C2×C22⋊C4—122no—
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×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×C22⋊C4C22×D311yescharacteristic
953C2×C42—31no—
954C2×C42—31no—
955C2×C42—31no—
956C2×C42—31no—
957C2×C42—31no—
958C2×C42—31no—
959C2×C42C22×D311yescharacteristic
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#95—31no—
987#95—31no—
988#95—31no—
989#95—31no—
990#95C22×D311yescharacteristic
991#95C22×D311yescharacteristic
992C23×C3—21no—
993C23×C3—21no—
994C23×C3—21no—
995C23×C3—21no—
996C23×C3—28no—
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×C3—21no—
1013C23×C3—21no—
1014C23×C3—21no—
1015C23×C3—21no—
1016C23×C3—21no—
1017C23×C3—21no—
1018C23×C3—21no—
1019C23×C3—21no—
1020C23×C3—21no—
1021C23×C3—21no—
1022C23×C3—21no—
1023C23×C3—21no—
1024C23×C3—21no—
1025C23×C3—21no—
1026C23×C3—21no—
1027C23×C3—21no—
1028C23×C3—44no—
1029C23×C3—44no—
1030C23×C3—44no—
1031C23×C3—44no—
1032C23×C3—44no—
1033C23×C3—44no—
1034C23×C3—44no—
1035C23×C3—44no—
1036C23×C3—44no—
1037C23×C3—44no—
1038C23×C3—82no—
1039C23×C3—82no—
1040C23×C3—82no—
1041C23×C3C22×D412yes—
1042C23×C3C22×D412yes—
1043C23×C3C2×#4112yes—
1044C23×C3C2×#4112yes—
1045C23×C3H(5,𝔽2)12yes—
1046C23×C3H(5,𝔽2)12yes—
1047C23×C32−1+412yes—
1048C23×C3C2511yescharacteristic
1049C3×D4—28no—
1050C3×D4—44no—
1051C3×D4—44no—
1052C3×D4—44no—
1053C3×D4—44no—
1054C3×D4—44no—
1055C3×D4—44no—
1056C3×D4—44no—
1057C3×D4—82no—
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—44no—
1084C2×C3×C4—82no—
1085C2×C3×C4C22×D412yes—
1086C2×C3×C4C2×#4112yes—
1087C2×Dic3—21no—
1088C2×Dic3—21no—
1089C2×Dic3—21no—
1090C2×Dic3—21no—
1091C2×Dic3—21no—
1092C2×Dic3—21no—
1093C2×Dic3—21no—
1094C2×Dic3—21no—
1095C2×Dic3—21no—
1096C2×Dic3—21no—
1097C2×Dic3—21no—
1098C2×Dic3—21no—
1099C2×Dic3—21no—
1100C2×Dic3—21no—
1101C2×Dic3—21no—
1102C2×Dic3—21no—
1103C2×Dic3—21no—
1104C2×Dic3—21no—
1105C2×Dic3—21no—
1106C2×Dic3—21no—
1107C2×Dic3—21no—
1108C2×Dic3—21no—
1109C2×Dic3—21no—
1110C2×Dic3—21no—
1111C2×Dic3—21no—
1112C2×Dic3—21no—
1113C2×Dic3—21no—
1114C2×Dic3—21no—
1115C2×Dic3—21no—
1116C2×Dic3—21no—
1117C2×Dic3—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—44no—
1132C2×Dic3—44no—
1133C2×Dic3—44no—
1134C2×Dic3—44no—
1135C2×Dic3—44no—
1136C2×Dic3—44no—
1137C2×Dic3—44no—
1138C2×Dic3—44no—
1139C2×Dic3—44no—
1140C2×Dic3—82no—
1141C2×Dic3—82no—
1142C2×Dic3—82no—
1143C2×Dic3C22×D412yes—
1144C2×Dic3C22×D412yes—
1145C2×Dic3C22×D412yes—
1146C2×Dic3C22×D412yes—
1147Dic6—82no—
1148C24—22no—
1149C24—22no—
1150C24—22no—
1151C24—22no—
1152C24—22no—
1153C24—22no—
1154C24—22no—
1155C24—22no—
1156C24—22no—
1157C24—41no—
1158C24—41no—
1159C24—41no—
1160C24—41no—
1161C24—41no—
1162C24C23×D311yescharacteristic
1163C24C23×D311yescharacteristic
1164C24C23×D311yescharacteristic
1165C24C23×D311yescharacteristic
1166C24C23×D311yescharacteristic
1167C24C23×D311yescharacteristic
1168C2×Q8—62no—
1169C2×Q8—121no—
1170C2×Q8—121no—
1171C2×D4—22no—
1172C2×D4—22no—
1173C2×D4—22no—
1174C2×D4—22no—
1175C2×D4—22no—
1176C2×D4—22no—
1177C2×D4—22no—
1178C2×D4—22no—
1179C2×D4—22no—
1180C2×D4—22no—
1181C2×D4—22no—
1182C2×D4—22no—
1183C2×D4—22no—
1184C2×D4—22no—
1185C2×D4—41no—
1186C2×D4—41no—
1187C2×D4—41no—
1188C2×D4—41no—
1189C2×D4—41no—
1190C2×D4—41no—
1191C2×D4—41no—
1192C2×D4—41no—
1193C2×D4—41no—
1194C2×D4—41no—
1195C2×D4—41no—
1196C2×D4—416no—
1197C2×D4D3×D414yes—
1198C2×D4#23714yes—
1199C22×C4—22no—
1200C22×C4—22no—
1201C22×C4—22no—
1202C22×C4—31no—
1203C22×C4—31no—
1204C22×C4—31no—
1205C22×C4—31no—
1206C22×C4—34no—
1207C22×C4—31no—
1208C22×C4—31no—
1209C22×C4—31no—
1210C22×C4—31no—
1211C22×C4—31no—
1212C22×C4—31no—
1213C22×C4—31no—
1214C22×C4—31no—
1215C22×C4—31no—
1216C22×C4—31no—
1217C22×C4—31no—
1218C22×C4—31no—
1219C22×C4—41no—
1220C22×C4—41no—
1221C22×C4—41no—
1222C22×C4—62no—
1223C22×C4—62no—
1224C22×C4—62no—
1225C22×C4—62no—
1226C22×C4—62no—
1227C22×C4—62no—
1228C22×C4—62no—
1229C22×C4—62no—
1230C22×C4—62no—
1231C22×C4—62no—
1232C22×C4—62no—
1233C22×C4—62no—
1234C22×C4—62no—
1235C22×C4—62no—
1236C22×C4—62no—
1237C22×C4—62no—
1238C22×C4—62no—
1239C22×C4—121no—
1240C22×C4—121no—
1241C22×C4—121no—
1242C22×C4—121no—
1243C22×C4—121no—
1244C22×C4—121no—
1245C22×C4—121no—
1246C22×C4—121no—
1247C22×C4—121no—
1248C22×C4—121no—
1249C22×C4—121no—
1250C22×C4—121no—
1251C22×C4—121no—
1252C22×C4—121no—
1253C22×C4—121no—
1254C22×C4—121no—
1255C22×C4—121no—
1256C22×C4—121no—
1257C22×C4—1216no—
1258C22×C4C23×D311yescharacteristic
1259C22×C4C23×D311yescharacteristic
1260C22×C4C23×D311yescharacteristic
1261C22×C4C23×D311yescharacteristic
1262C22×C4C23×D311yescharacteristic
1263C22×C4C23×D311yescharacteristic
1264C22×C4C23×D311yescharacteristic
1265C22×C4C23×D311yescharacteristic
1266C22×C4C23×D311yescharacteristic
1267C4⋊C4—22no—
1268C4⋊C4—34no—
1269C4⋊C4—34no—
1270C4⋊C4—41no—
1271C4⋊C4—41no—
1272C4⋊C4—62no—
1273C4⋊C4—62no—
1274C4⋊C4—62no—
1275C4⋊C4—62no—
1276C4⋊C4—62no—
1277C4⋊C4—62no—
1278C4⋊C4—62no—
1279C4⋊C4—62no—
1280C4⋊C4—62no—
1281C4⋊C4—62no—
1282C4⋊C4—62no—
1283C4⋊C4—62no—
1284C4⋊C4—62no—
1285C4⋊C4—62no—
1286C4⋊C4—62no—
1287C4⋊C4—62no—
1288C4⋊C4—62no—
1289C4⋊C4—62no—
1290C4⋊C4—121no—
1291C4⋊C4—121no—
1292C4⋊C4—121no—
1293C4⋊C4—121no—
1294C4⋊C4—121no—
1295C4⋊C4—121no—
1296C4⋊C4—121no—
1297C4⋊C4—121no—
1298C4⋊C4—121no—
1299C4⋊C4—121no—
1300C4⋊C4—121no—
1301C4⋊C4—121no—
1302C4⋊C4—121no—
1303C4⋊C4—121no—
1304C4⋊C4—121no—
1305C22⋊C4—22no—
1306C22⋊C4—22no—
1307C22⋊C4—22no—
1308C22⋊C4—22no—
1309C22⋊C4—22no—
1310C22⋊C4—22no—
1311C22⋊C4—22no—
1312C22⋊C4—22no—
1313C22⋊C4—22no—
1314C22⋊C4—22no—
1315C22⋊C4—34no—
1316C22⋊C4—34no—
1317C22⋊C4—34no—
1318C22⋊C4—41no—
1319C22⋊C4—41no—
1320C22⋊C4—41no—
1321C22⋊C4—41no—
1322C22⋊C4—41no—
1323C22⋊C4—41no—
1324C22⋊C4—62no—
1325C22⋊C4—62no—
1326C22⋊C4—62no—
1327C22⋊C4—62no—
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—62no—
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—
1357C42—41no—
1358C42—62no—
1359C42—62no—
1360C42—62no—
1361C42—121no—
1362C42—121no—
1363C42—121no—
1364C22×C3—22no—
1365C22×C3—22no—
1366C22×C3—22no—
1367C22×C3—22no—
1368C22×C3—22no—
1369C22×C3—22no—
1370C22×C3—22no—
1371C22×C3—22no—
1372C22×C3—22no—
1373C22×C3—22no—
1374C22×C3—22no—
1375C22×C3—22no—
1376C22×C3—22no—
1377C22×C3—22no—
1378C22×C3—22no—
1379C22×C3—22no—
1380C22×C3—22no—
1381C22×C3—22no—
1382C22×C3—416no—
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×C3—41no—
1396C22×C3—41no—
1397C22×C3—41no—
1398C22×C3—41no—
1399C22×C3—41no—
1400C22×C3—41no—
1401C22×C3—41no—
1402C22×C3—41no—
1403C22×C3—41no—
1404C22×C3—41no—
1405C22×C3—41no—
1406C22×C3—88no—
1407C22×C3#53914yescomplemented
1408C22×C3C23×D411yescharacteristic
1409C22×C3C22×#4111yescharacteristic
1410C22×C3C2×H(5,𝔽2)11yescharacteristic
1411C22×C3C2×H(5,𝔽2)11yescharacteristic
1412C22×C3C2×2−1+411yescharacteristic
1413C22×C3#58511yescharacteristic
1414C22×C3#58511yescharacteristic
1415C3×C4—22no—
1416C3×C4—22no—
1417C3×C4—41no—
1418C3×C4—41no—
1419C3×C4—41no—
1420C3×C4—41no—
1421C3×C4—41no—
1422C3×C4—41no—
1423C3×C4—41no—
1424Dic3—22no—
1425Dic3—22no—
1426Dic3—22no—
1427Dic3—22no—
1428Dic3—41no—
1429Dic3—41no—
1430Dic3—41no—
1431Dic3—41no—
1432Dic3—41no—
1433Dic3—41no—
1434Dic3—41no—
1435Dic3—41no—
1436Dic3—41no—
1437Dic3—41no—
1438Dic3—41no—
1439Dic3—41no—
1440C23—21no—
1441C23—21no—
1442C23—21no—
1443C23—21no—
1444C23—28no—
1445C23—21no—
1446C23—21no—
1447C23—21no—
1448C23—21no—
1449C23—21no—
1450C23—21no—
1451C23—21no—
1452C23—21no—
1453C23—21no—
1454C23—21no—
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—21no—
1476C23—44no—
1477C23—44no—
1478C23—44no—
1479C23—44no—
1480C23—44no—
1481C23—44no—
1482C23—44no—
1483C23—44no—
1484C23—44no—
1485C23—44no—
1486C23—82no—
1487C23—82no—
1488C23—82no—
1489C23C2×D3×D412yes—
1490C23C2×D3×D412yes—
1491C23C2×#23712yes—
1492C23C2×#23712yes—
1493C23#100412yes—
1494C23#100412yes—
1495C23#101012yes—
1496C23C24×D311yescharacteristic
1497Q8—242no—
1498D4—28no—
1499D4—44no—
1500D4—44no—
1501D4—44no—
1502D4—44no—
1503D4—44no—
1504D4—44no—
1505D4—44no—
1506D4—82no—
1507C2×C4—21no—
1508C2×C4—21no—
1509C2×C4—21no—
1510C2×C4—21no—
1511C2×C4—21no—
1512C2×C4—21no—
1513C2×C4—21no—
1514C2×C4—21no—
1515C2×C4—21no—
1516C2×C4—21no—
1517C2×C4—21no—
1518C2×C4—21no—
1519C2×C4—21no—
1520C2×C4—21no—
1521C2×C4—21no—
1522C2×C4—21no—
1523C2×C4—21no—
1524C2×C4—21no—
1525C2×C4—21no—
1526C2×C4—21no—
1527C2×C4—21no—
1528C2×C4—21no—
1529C2×C4—21no—
1530C2×C4—21no—
1531C2×C4—21no—
1532C2×C4—32no—
1533C2×C4—32no—
1534C2×C4—32no—
1535C2×C4—32no—
1536C2×C4—44no—
1537C2×C4—61no—
1538C2×C4—61no—
1539C2×C4—61no—
1540C2×C4—61no—
1541C2×C4—61no—
1542C2×C4—61no—
1543C2×C4—61no—
1544C2×C4—61no—
1545C2×C4—61no—
1546C2×C4—61no—
1547C2×C4—61no—
1548C2×C4—61no—
1549C2×C4—61no—
1550C2×C4—61no—
1551C2×C4—61no—
1552C2×C4—61no—
1553C2×C4—61no—
1554C2×C4—61no—
1555C2×C4—61no—
1556C2×C4—61no—
1557C2×C4—61no—
1558C2×C4—61no—
1559C2×C4—61no—
1560C2×C4—61no—
1561C2×C4—61no—
1562C2×C4—61no—
1563C2×C4—61no—
1564C2×C4—61no—
1565C2×C4—61no—
1566C2×C4—61no—
1567C2×C4—61no—
1568C2×C4—61no—
1569C2×C4—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—82no—
1582C2×C4—124no—
1583C2×C4—124no—
1584C2×C4—124no—
1585C2×C4—124no—
1586C2×C4—124no—
1587C2×C4—124no—
1588C2×C4—124no—
1589C2×C4—124no—
1590C2×C4—124no—
1591C2×C4—242no—
1592C2×C4—242no—
1593C2×C4—242no—
1594C2×C4C2×D3×D412yes—
1595C2×C4C2×#23712yes—
1596C2×C3—24no—
1597C2×C3—42no—
1598C2×C3—42no—
1599C2×C3—42no—
1600C2×C3—42no—
1601C2×C3—81no—
1602C2×C3C2×#53911yescharacteristic
1603C2×C3D4×#4111yescharacteristic
1604C2×C3#348411yescharacteristic
1605C2×C3#348911yescharacteristic
1606C2×C3#351311yescharacteristic
1607C2×C3#353311yescharacteristic
1608C2×C3#353511yescharacteristic
1609C22—22no—
1610C22—22no—
1611C22—22no—
1612C22—22no—
1613C22—22no—
1614C22—22no—
1615C22—22no—
1616C22—22no—
1617C22—22no—
1618C22—22no—
1619C22—22no—
1620C22—22no—
1621C22—22no—
1622C22—22no—
1623C22—22no—
1624C22—22no—
1625C22—22no—
1626C22—22no—
1627C22—416no—
1628C22—41no—
1629C22—41no—
1630C22—41no—
1631C22—41no—
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—41no—
1651C22—88no—
1652C22#560214yescomplemented
1653C22C22×D3×D411yescharacteristic
1654C22C22×#23711yescharacteristic
1655C22C2×#100411yescharacteristic
1656C22C2×#100411yescharacteristic
1657C22C2×#101011yescharacteristic
1658C22#596611yescharacteristic
1659C22#596611yescharacteristic
1660C4—22no—
1661C4—22no—
1662C4—41no—
1663C4—41no—
1664C4—41no—
1665C4—41no—
1666C4—41no—
1667C4—41no—
1668C4—41no—
1669C4—62no—
1670C4—62no—
1671C4—62no—
1672C4—62no—
1673C4—121no—
1674C4—121no—
1675C4—121no—
1676C4—121no—
1677C4—121no—
1678C4—121no—
1679C4—121no—
1680C4—121no—
1681C4—121no—
1682C4—121no—
1683C4—121no—
1684C4—121no—
1685C3#3771211yescharacteristic, complemented, Sylow
1686C2—24no—
1687C2—42no—
1688C2—42no—
1689C2—42no—
1690C2—42no—
1691C2—81no—
1692C2#8591911yescharacteristic
1693C2C2×#560211yescharacteristic
1694C2#8632111yescharacteristic
1695C2D4×#23711yescharacteristic
1696C2#8660911yescharacteristic
1697C2#8663011yescharacteristic
1698C2#8664611yescharacteristic
subgroupG/H
center, FrattiniC23C24×D3
commutator, socle, cosocleC23×C3C25
Fitting, prime radicalC3×#2408C2
hypercenter#2408D3
hypocenterC3#37712
LCSG ▷ C23×C3 ▷ C3
UCSC1 ◁ C23 ◁ #2408

Complements

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

NH ≅ G/Ntype
1. C22×#935C2semidirect
2. C2×#5602C2semidirect
4. #84047C2semidirect
5. #82694C2semidirect
6. #82685C2semidirect
7. #82655C2semidirect
8. #82585C2semidirect
9. #82585C2semidirect
10. #82579C2semidirect
11. Dic3×#120C2semidirect
12. #82360C2semidirect
13. D4×Dic3⋊C4C2semidirect
14. #77040C2semidirect
15. #77004C2semidirect
16. #76998C2semidirect
17. #76947C2semidirect
18. #76725C2semidirect
19. #76718C2semidirect
20. #76699C2semidirect
21. #76674C2semidirect
22. #76398C2semidirect
23. #76383C2semidirect
24. #76358C2semidirect
25. #76300C2semidirect
26. #73908C2semidirect
27. #73902C2semidirect
28. #73846C2semidirect
29. #73831C2semidirect
30. #73830C2semidirect
31. #73828C2semidirect
55. C2×#935C22semidirect
56. C2×#935C22semidirect
59. C2×D4×Dic3C22semidirect
60. C2×D4×Dic3C22semidirect
61. C2×D4×Dic3C22semidirect
62. C2×#924C22semidirect
65. C22×Dic3⋊C4C22semidirect
67. C2×#889C22semidirect
68. C2×#889C22semidirect
69. C2×#879C22semidirect
70. C2×#879C22semidirect
72. C2×#878C22semidirect
73. C2×#878C22semidirect
74. C2×#878C22semidirect
91. #5222C22semidirect
92. #5222C22semidirect
93. #5222C22semidirect
94. #5222C22semidirect
95. #5221C22semidirect
100. #5220C22semidirect
101. #5220C22semidirect
102. #5220C22semidirect
103. #5220C22semidirect
104. #5220C22semidirect
105. #5220C22semidirect
108. #5210C22semidirect
109. #5210C22semidirect
110. #4985C22semidirect
111. #4983C22semidirect
112. #4982C22semidirect
113. #4981C22semidirect
114. #4981C22semidirect
115. #4979C22semidirect
116. #4978C22semidirect
117. #4976C22semidirect
118. #4975C22semidirect
119. #4972C22semidirect
120. #4953C22semidirect
121. #4953C22semidirect
122. #4953C22semidirect
123. #4953C22semidirect
124. #4952C22semidirect
125. #4952C22semidirect
126. #4952C22semidirect
127. #4952C22semidirect
128. #4951C22semidirect
129. #4951C22semidirect
130. #4951C22semidirect
131. #4951C22semidirect
135. #4950C22semidirect
136. #4950C22semidirect
137. #4950C22semidirect
138. #4950C22semidirect
139. #4950C22semidirect
140. #4950C22semidirect
141. #4949C22semidirect
142. #4949C22semidirect
143. #4949C22semidirect
144. #4949C22semidirect
145. #4948C22semidirect
146. #4948C22semidirect
147. #4948C22semidirect
148. #4948C22semidirect
149. #4948C22semidirect
150. #4947C22semidirect
154. #4946C22semidirect
155. #4946C22semidirect
156. #4946C22semidirect
157. #4946C22semidirect
158. #4945C22semidirect
159. #4945C22semidirect
160. #4944C22semidirect
161. #4944C22semidirect
162. #4944C22semidirect
163. #4944C22semidirect
164. #4944C22semidirect
165. #4944C22semidirect
169. #4942C22semidirect
170. #4942C22semidirect
171. #4942C22semidirect
172. #4942C22semidirect
175. Dic3×C22⋊C4C22semidirect
176. Dic3×C22⋊C4C22semidirect
177. Dic3×C22⋊C4C22semidirect
178. #4933C22semidirect
179. C4×Dic3⋊C4C22semidirect
180. #4928C22semidirect
181. #4928C22semidirect
182. #4658C22semidirect
183. #4658C22semidirect
184. #4657C22semidirect
185. #4657C22semidirect
186. #4652C22semidirect
187. #4650C22semidirect
188. #4647C22semidirect
189. #4647C22semidirect
329. #935D4semidirect
1407. C22×C3#539semidirect
1652. C22#5602semidirect
1685. C3#37712semidirect

Maximal subgroups

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

subgroupindex
C22×#9352
C2×#56022
C3×#24082
#840472
#826942
#826852
#826552
#825852
#825792
Dic3×#1202
#823602
D4×Dic3⋊C42
#770402
#770042
#769982
#769472
#767252
#767182
#766992
#766742
#763982
#763832
#763582
#763002
#739082
#739022
#738462
#738312
#738302
#738282
#377123