Finite Group Databasebeta

← #11302229

Subgroups — #11302229

Order 768.

2328 conjugacy classes of subgroups.

The subgroup lattice has 1722 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C3×#560C211yesmaximal, characteristic, complemented
2C2×#5593C211yesmaximal, characteristic, complemented
3#83182C211yesmaximal, characteristic, complemented
4#83178C211yesmaximal, characteristic, complemented
5#83095C211yesmaximal, characteristic, complemented
6#83093C211yesmaximal, characteristic, complemented
7#83083C211yesmaximal, characteristic, complemented
8#83077C211yesmaximal, characteristic, complemented
9#82886C211yesmaximal, characteristic, complemented
10#82877C211yesmaximal, characteristic, complemented
11#82875C211yesmaximal, characteristic, complemented
12#82860C211yesmaximal, characteristic, complemented
13#82847C211yesmaximal, characteristic, complemented
14#82845C211yesmaximal, characteristic, complemented
15#82715C211yesmaximal, characteristic, complemented
16#82694C211yesmaximal, characteristic, complemented
17#82690C211yesmaximal, characteristic, complemented
18#82689C211yesmaximal, characteristic, complemented
19#82686C211yesmaximal, characteristic, complemented
20#82682C211yesmaximal, characteristic, complemented
21#82672C211yesmaximal, characteristic, complemented
22#82666C211yesmaximal, characteristic, complemented
23#82657C211yesmaximal, characteristic, complemented
24#82656C211yesmaximal, characteristic, complemented
25#82645C211yesmaximal, characteristic, complemented
26#82644C211yesmaximal, characteristic, complemented
27#82592C211yesmaximal, characteristic, complemented
28#82592C211yesmaximal, characteristic, complemented
29#82584C211yesmaximal, characteristic, complemented
30#82584C211yesmaximal, characteristic, complemented
31#82579C211yesmaximal, characteristic, complemented
32#47849—31nomaximal, Sylow
33C3×#560—28no—
34C2×C3×#127C2211yescharacteristic
35C2×C3×#126C2211yescharacteristic
36C2×C3×#126C2211yescharacteristic
37C2×C3×#123C2211yescharacteristic
38C2×C3×#123C2211yescharacteristic
39C2×C3×#123C2211yescharacteristic
40C2×C3×#121C2211yescharacteristic
41C2×C3×#121C2211yescharacteristic
42C2×C3×#121C2211yescharacteristic
43C2×C3×#121C2211yescharacteristic
44C2×C3×#121C2211yescharacteristic
45C2×C3×#121C2211yescharacteristic
46C2×C3×#120C2211yescharacteristic
47C2×C3×#120C2211yescharacteristic
48C2×C3×#120C2211yescharacteristic
49C2×#953C2211yescharacteristic
50C22×#217C2211yescharacteristic
51C22×#217C2211yescharacteristic
52C22×#217C2211yescharacteristic
53C2×#939C2211yescharacteristic
54C2×#939C2211yescharacteristic
55C2×#939C2211yescharacteristic
56C2×#939C2211yescharacteristic
57C2×#938C2211yescharacteristic
58C2×#936C2211yescharacteristic
59C2×#936C2211yescharacteristic, complemented
60C2×#935C2211yescharacteristic
61C2×#935C2211yescharacteristic
62C2×#935C2211yescharacteristic
63C2×#935C2211yescharacteristic, complemented
64C2×D4×Dic3C2211yescharacteristic
65C2×D4×Dic3C2211yescharacteristic
66C2×D4×Dic3C2211yescharacteristic
67C2×#929C2211yescharacteristic, complemented
68C2×C4×#67C2211yescharacteristic, complemented
69#5593—28no—
70C2×#885C2211yescharacteristic
71C2×#883C2211yescharacteristic
72C2×#67⋊C4C2211yescharacteristic
73C2×#879C2211yescharacteristic
74C2×#879C2211yescharacteristic
75C2×#878C2211yescharacteristic
76#5223C2211yescharacteristic
77#5223C2211yescharacteristic
78#5223C2211yescharacteristic
79#5223C2211yescharacteristic
80#5223C2211yescharacteristic, complemented
81#5223C2211yescharacteristic, complemented
82#5223C2211yescharacteristic, complemented
83#5222C2211yescharacteristic
84#5222C2211yescharacteristic
85#5222C2211yescharacteristic
86#5222C2211yescharacteristic
87#5222C2211yescharacteristic
88#5222C2211yescharacteristic
89#5222C2211yescharacteristic
90#5222C2211yescharacteristic
91#5222C2211yescharacteristic, complemented
92#5222C2211yescharacteristic, complemented
93#5222C2211yescharacteristic, complemented
94#5221C2211yescharacteristic
95#5221C2211yescharacteristic, complemented
96#5220C2211yescharacteristic
97#5220C2211yescharacteristic
98#5220C2211yescharacteristic
99#5220C2211yescharacteristic
100#5220C2211yescharacteristic
101#5220C2211yescharacteristic
102#5220C2211yescharacteristic
103#5220C2211yescharacteristic
104#5220C2211yescharacteristic
105#5220C2211yescharacteristic
106#5220C2211yescharacteristic
107#5220C2211yescharacteristic, complemented
108#5220C2211yescharacteristic, complemented
109#5220C2211yescharacteristic, complemented
110#5213C2211yescharacteristic, complemented
111#5212C2211yescharacteristic, complemented
112#5212C2211yescharacteristic, complemented
113#5210C2211yescharacteristic, complemented
114#5210C2211yescharacteristic, complemented
115#5210C2211yescharacteristic, complemented
116#5210C2211yescharacteristic, complemented
117#5210C2211yescharacteristic, complemented
118C4×#217C2211yescharacteristic, complemented
119C2×C3⋊#95C2211yescharacteristic, complemented
120#4994C2211yescharacteristic, complemented
121#4994C2211yescharacteristic, complemented
122#4992C2211yescharacteristic, complemented
123#4990C2211yescharacteristic, complemented
124#4989C2211yescharacteristic, complemented
125#4987C2211yescharacteristic, complemented
126#4986C2211yescharacteristic, complemented
127#4985C2211yescharacteristic, complemented
128#4985C2211yescharacteristic, complemented
129#4983C2211yescharacteristic, complemented
130#4982C2211yescharacteristic, complemented
131#4982C2211yescharacteristic, complemented
132#4981C2211yescharacteristic, complemented
133#4979C2211yescharacteristic, complemented
134#4979C2211yescharacteristic, complemented
135#4978C2211yescharacteristic, complemented
136#4978C2211yescharacteristic, complemented
137#4978C2211yescharacteristic, complemented
138#4977C2211yescharacteristic, complemented
139#4976C2211yescharacteristic, complemented
140#4976C2211yescharacteristic, complemented
141#4976C2211yescharacteristic, complemented
142#4975C2211yescharacteristic, complemented
143#4972C2211yescharacteristic, complemented
144#4959C2211yescharacteristic
145#4959C2211yescharacteristic
146#4959C2211yescharacteristic
147#4959C2211yescharacteristic
148#4958C2211yescharacteristic
149#4958C2211yescharacteristic
150#4958C2211yescharacteristic, complemented
151#4957C2211yescharacteristic, complemented
152#4956C2211yescharacteristic, complemented
153#4953C2211yescharacteristic, complemented
154#4952C2211yescharacteristic
155#4952C2211yescharacteristic
156#4952C2211yescharacteristic
157#4952C2211yescharacteristic
158#4952C2211yescharacteristic
159#4952C2211yescharacteristic
160#4952C2211yescharacteristic
161#4952C2211yescharacteristic
162#4952C2211yescharacteristic, complemented
163#4952C2211yescharacteristic, complemented
164#4951C2211yescharacteristic
165#4951C2211yescharacteristic
166#4950C2211yescharacteristic
167#4950C2211yescharacteristic
168#4949C2211yescharacteristic, complemented
169#4948C2211yescharacteristic, complemented
170#4948C2211yescharacteristic, complemented
171#4946C2211yescharacteristic
172#4946C2211yescharacteristic
173#4946C2211yescharacteristic, complemented
174#4945C2211yescharacteristic, complemented
175#4944C2211yescharacteristic, complemented
176#4943C2211yescharacteristic
177#4943C2211yescharacteristic
178#4942C2211yescharacteristic
179#4942C2211yescharacteristic
180#4942C2211yescharacteristic
181#4942C2211yescharacteristic
182#4942C2211yescharacteristic
183#4942C2211yescharacteristic
184Dic3×C22⋊C4C2211yescharacteristic
185Dic3×C22⋊C4C2211yescharacteristic
186#4940C2211yescharacteristic, complemented
187#4933C2211yescharacteristic, complemented
188C4×Dic3⋊C4C2211yescharacteristic, complemented
189#4929C2211yescharacteristic, complemented
190C2×#560D311yescharacteristic, complemented
191C2×#538—31no—
192#2717—31no—
193#2715—31no—
194#2708—31no—
195#2698—31no—
196#2695—31no—
197#2693—31no—
198#2691—31no—
199#2688—31no—
200#2682—31no—
201#2673—31no—
202#2672—31no—
203#2671—31no—
204#2617—31no—
205#2617—31no—
206#2555—31no—
207#2553—31no—
208#2544—31no—
209#2535—31no—
210#2496—31no—
211#2468—31no—
212#2456—31no—
213#2444—31no—
214#2425—31no—
215#2425—31no—
216#2422—31no—
217#2422—31no—
218#2412—31no—
219#2412—31no—
220#2358—31no—
221C25×C3C2311yescharacteristic
222C22×C3×D4C2311yescharacteristic
223C22×C3×D4C2311yescharacteristic
224C22×C3×D4C2311yescharacteristic
225C22×C3×D4C2311yescharacteristic
226C22×C3×D4C2311yescharacteristic
227C22×C3×D4C2311yescharacteristic
228C22×C3×D4C2311yescharacteristic
229C22×C3×D4C2311yescharacteristic
230C22×C3×D4C2311yescharacteristic
231C22×C3×D4C2311yescharacteristic
232C22×C3×D4C2311yescharacteristic
233C22×C3×D4C2311yescharacteristic
234C23×C3×C4C2311yescharacteristic
235C23×C3×C4C2311yescharacteristic
236C23×C3×C4C2311yescharacteristic
237C22×#67C2311yescharacteristic
238C22×#67C2311yescharacteristic
239C22×#67C2311yescharacteristic
240C22×#67C2311yescharacteristic
241C22×#67C2311yescharacteristic
242C22×#67C2311yescharacteristic
243C23×Dic3C2311yescharacteristic
244C23×Dic3C2311yescharacteristic
245C23×Dic3C2311yescharacteristic
246C23×Dic3C2311yescharacteristic
247C23×Dic3C2311yescharacteristic
248C23×Dic3C2311yescharacteristic
249C23×Dic3C2311yescharacteristic
250C23×Dic3C2311yescharacteristic
251C22×C4×D3C2311yescharacteristic
252C22×Dic6C2311yescharacteristic
253C3×#127—24no—
254C3×#126—24no—
255C3×#126—24no—
256C3×#123—24no—
257C3×#123—24no—
258C3×#123—24no—
259C3×#121—24no—
260C3×#121—24no—
261C3×#121—24no—
262C3×#121—24no—
263C3×#121—24no—
264C3×#121—24no—
265C3×#120—24no—
266C3×#120—24no—
267C3×#120D418yescomplemented
268C2×C3×C4⋊C4C2311yescharacteristic
269C2×C3×C4⋊C4C2311yescharacteristic
270C2×C3×C4⋊C4C2311yescharacteristic
271C2×C3×C4⋊C4C2311yescharacteristic
272C2×C3×C4⋊C4C2311yescharacteristic
273C2×C3×C4⋊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×C22⋊C4C2311yescharacteristic
286C2×C3×C42C2311yescharacteristic
287#953—24no—
288C2×#217—24no—
289C2×#217—42no—
290C2×#217—42no—
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
318C2×#217C2311yescharacteristic
319C2×#217C2311yescharacteristic
320C2×#217C2311yescharacteristic
321C2×#217C2311yescharacteristic
322C2×#217C2311yescharacteristic
323C2×#217C2311yescharacteristic
324C2×#217C2311yescharacteristic
325#939—24no—
326#939—24no—
327#939—42no—
328#939—42no—
329#938—24no—
330#936—24no—
331#936—42no—
332#935—24no—
333#935—42no—
334#935—42no—
335#935—42no—
336D4×Dic3—24no—
337D4×Dic3—42no—
338D4×Dic3—42no—
339#929—42no—
340C4×#67—42no—
341C2×(C2×D3)⋊C4C2311yescharacteristic
342C2×(C2×D3)⋊C4C2311yescharacteristic
343C2×(C2×D3)⋊C4C2311yescharacteristic
344C2×(C2×D3)⋊C4C2311yescharacteristic
345C2×(C2×D3)⋊C4C2311yescharacteristic
346C2×(C2×D3)⋊C4C2311yescharacteristic
347C2×(C2×D3)⋊C4C2311yescharacteristic
348C2×(C2×D3)⋊C4C2311yescharacteristic
349C2×C4⋊Dic3C2311yescharacteristic
350C2×C4⋊Dic3C2311yescharacteristic
351C2×C4⋊Dic3C2311yescharacteristic
352C2×C4⋊Dic3C2311yescharacteristic
353C2×C4⋊Dic3C2311yescharacteristic
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×C4×Dic3C2311yescharacteristic
373C2×C4×Dic3C2311yescharacteristic
374C2×C4×Dic3C2311yescharacteristic
375C2×C4×Dic3C2311yescharacteristic
376C2×C4×Dic3C2311yescharacteristic
377#885—24no—
378#883—24no—
379#67⋊C4—24no—
380#879—24no—
381#879—24no—
382#878—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
417#560—28no—
418#538—68no—
419C2×#127C2×D311yescharacteristic
420C2×#126—31no—
421C2×#126—31no—
422C2×#126C2×D311yescharacteristic
423C2×#126C2×D311yescharacteristic
424C2×#124—31no—
425C2×#124—31no—
426C2×#124—31no—
427C2×#123—31no—
428C2×#123—31no—
429C2×#123—31no—
430C2×#123—31no—
431C2×#123—31no—
432C2×#123—31no—
433C2×#123C2×D311yescharacteristic
434C2×#123C2×D311yescharacteristic
435C2×#123C2×D311yescharacteristic
436C2×C22⋊Q8—31no—
437C2×#121—31no—
438C2×#121—31no—
439C2×#121—31no—
440C2×#121—31no—
441C2×#121—31no—
442C2×#121C2×D311yescharacteristic
443C2×#121C2×D311yescharacteristic
444C2×#121C2×D311yescharacteristic
445C2×#121C2×D311yescharacteristic
446C2×#121C2×D311yescharacteristic
447C2×#121C2×D311yescharacteristic
448C2×#120—31no—
449C2×#120C2×D311yescharacteristic
450C2×#120C2×D311yescharacteristic
451C2×#120C2×D311yescharacteristic
452C2×C4×D4—31no—
453C2×C4×D4—31no—
454C2×C4×D4—31no—
455C2×C4×D4—31no—
456C2×C4×D4—31no—
457C22×C22⋊C4—31no—
458C22×C22⋊C4—31no—
459C22×C22⋊C4—31no—
460#400—31no—
461#400—31no—
462#400—31no—
463#399—31no—
464#398—31no—
465#398—31no—
466#398—31no—
467#398—31no—
468#397—31no—
469#397—31no—
470#397—31no—
471#397—31no—
472#397—31no—
473#397—31no—
474#397—31no—
475#397—31no—
476#397—31no—
477#397—31no—
478#397—31no—
479#397—31no—
480#396—31no—
481#396—31no—
482#396—31no—
483#396—31no—
484#395—31no—
485#395—31no—
486#394—31no—
487#394—31no—
488#394—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#394—31no—
498#394—31no—
499#394—31no—
500#394—31no—
501#392—31no—
502#392—31no—
503#392—31no—
504#392—31no—
505#392—31no—
506#392—31no—
507#392—31no—
508#391—31no—
509#390—31no—
510#390—31no—
511#390—31no—
512#389—31no—
513#389—31no—
514#389—31no—
515#389—31no—
516#388—31no—
517#388—31no—
518#388—31no—
519#388—31no—
520#388—31no—
521#388—31no—
522#387—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#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#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#381—31no—
559#381—31no—
560#380—31no—
561#380—31no—
562#380—31no—
563#380—31no—
564#380—31no—
565#380—31no—
566#380—31no—
567#380—31no—
568#380—31no—
569C4×C4⋊C4—31no—
570C4×C22⋊C4—31no—
571C4×C22⋊C4—31no—
572C4×C22⋊C4—31no—
573C2×#95—31no—
574C24×C3—41no—
575C24×C3—41no—
576C24×C3—41no—
577C24×C3—41no—
578C24×C3—41no—
579C24×C3—41no—
580C24×C3C2×D414yes—
581C24×C3C2411yescharacteristic
582C24×C3C2411yescharacteristic
583C24×C3C2411yescharacteristic
584C24×C3C2411yescharacteristic
585C24×C3C2411yescharacteristic
586C24×C3C2411yescharacteristic
587C23×D3C2411yescharacteristic
588C2×C3×D4—22no—
589C2×C3×D4—22no—
590C2×C3×D4—22no—
591C2×C3×D4—22no—
592C2×C3×D4—22no—
593C2×C3×D4—22no—
594C2×C3×D4—22no—
595C2×C3×D4—22no—
596C2×C3×D4—22no—
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—
605C2×C3×D4—41no—
606C2×C3×D4—41no—
607C2×C3×D4—41no—
608C2×C3×D4—41no—
609C2×C3×D4—41no—
610C2×C3×D4—41no—
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×D4C2×D414yes—
622C2×C3×D4C2×D414yes—
623C2×C3×D4C2×D414yes—
624C22×C3×C4—22no—
625C22×C3×C4—22no—
626C22×C3×C4—22no—
627C22×C3×C4—41no—
628C22×C3×C4—41no—
629C22×C3×C4—41no—
630C22×C3×C4—41no—
631C22×C3×C4—41no—
632C22×C3×C4—41no—
633C22×C3×C4C2411yescharacteristic
634C22×C3×C4C2411yescharacteristic
635C22×C3×C4C2411yescharacteristic
636C22×C3×C4C2411yescharacteristic
637C22×C3×C4C2411yescharacteristic
638C22×C3×C4C2411yescharacteristic
639C22×C3×C4C2411yescharacteristic
640C22×C3×C4C2411yescharacteristic
641C22×C3×C4C2411yescharacteristic
642C2×#67—22no—
643C2×#67—22no—
644C2×#67—22no—
645C2×#67—22no—
646C2×#67—22no—
647C2×#67—41no—
648C2×#67—41no—
649C2×#67—41no—
650C2×#67—41no—
651C2×#67—41no—
652C2×#67—41no—
653C2×#67—41no—
654C2×#67—41no—
655C2×#67—41no—
656C2×#67—41no—
657C2×#67—41no—
658C2×#67—41no—
659C2×#67—41no—
660C22×Dic3—22no—
661C22×Dic3—22no—
662C22×Dic3—22no—
663C22×Dic3—22no—
664C22×Dic3—22no—
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—41no—
676C22×Dic3—41no—
677C22×Dic3—41no—
678C22×Dic3—41no—
679C22×Dic3—41no—
680C22×Dic3—41no—
681C22×Dic3—41no—
682C22×Dic3—41no—
683C22×Dic3—41no—
684C22×Dic3C2411yescharacteristic
685C22×Dic3C2411yescharacteristic
686C22×Dic3C2411yescharacteristic
687C22×Dic3C2411yescharacteristic
688C22×Dic3C2411yescharacteristic
689C22×Dic3C2411yescharacteristic
690C22×Dic3C2411yescharacteristic
691C22×Dic3C2411yescharacteristic
692C22×Dic3C2411yescharacteristic
693C22×Dic3C2411yescharacteristic
694C22×Dic3C2411yescharacteristic
695C22×Dic3C2411yescharacteristic
696C22×Dic3C2411yescharacteristic
697C22×Dic3C2411yescharacteristic
698C22×Dic3C2411yescharacteristic
699C2×C4×D3—22no—
700C2×C4×D3—41no—
701C2×C4×D3—41no—
702C2×Dic6—22no—
703C2×Dic6—41no—
704C2×Dic6—41no—
705C3×C4⋊C4—22no—
706C3×C4⋊C4—22no—
707C3×C4⋊C4—22no—
708C3×C4⋊C4—22no—
709C3×C4⋊C4—22no—
710C3×C4⋊C4—22no—
711C3×C22⋊C4—22no—
712C3×C22⋊C4—22no—
713C3×C22⋊C4—22no—
714C3×C22⋊C4—22no—
715C3×C22⋊C4—22no—
716C3×C22⋊C4—22no—
717C3×C22⋊C4—22no—
718C3×C22⋊C4—22no—
719C3×C22⋊C4—22no—
720C3×C22⋊C4C2×D414yes—
721C3×C22⋊C4C2×D414yes—
722C3×C22⋊C4C2×D414yes—
723C3×C42—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—22no—
738#217—22no—
739#217—22no—
740#217—22no—
741#217—22no—
742#217—41no—
743#217—41no—
744#217—41no—
745#217—41no—
746#217—41no—
747#217—41no—
748#217—41no—
749#217—41no—
750#217—41no—
751#217—41no—
752#217—41no—
753#217—41no—
754#217—41no—
755#217—41no—
756#217—41no—
757#217—41no—
758(C2×D3)⋊C4—22no—
759(C2×D3)⋊C4—22no—
760(C2×D3)⋊C4—22no—
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—
766C4⋊Dic3—22no—
767C4⋊Dic3—22no—
768C4⋊Dic3—41no—
769C4⋊Dic3—41no—
770C4⋊Dic3—41no—
771Dic3⋊C4—22no—
772Dic3⋊C4—22no—
773Dic3⋊C4—22no—
774Dic3⋊C4—22no—
775Dic3⋊C4—22no—
776Dic3⋊C4—22no—
777Dic3⋊C4—22no—
778Dic3⋊C4—41no—
779Dic3⋊C4—41no—
780Dic3⋊C4—41no—
781Dic3⋊C4—41no—
782Dic3⋊C4—41no—
783Dic3⋊C4—41no—
784Dic3⋊C4—41no—
785Dic3⋊C4—41no—
786Dic3⋊C4—41no—
787Dic3⋊C4—41no—
788Dic3⋊C4—41no—
789C4×Dic3—22no—
790C4×Dic3—22no—
791C4×Dic3—22no—
792C4×Dic3—22no—
793C4×Dic3—41no—
794C25C22×D311yescharacteristic
795C22×Q8—31no—
796C22×D4—31no—
797C22×D4—31no—
798C22×D4—31no—
799C22×D4—31no—
800C22×D4—31no—
801C22×D4—31no—
802C22×D4C22×D311yescharacteristic
803C22×D4C22×D311yescharacteristic
804C22×D4C22×D311yescharacteristic
805C22×D4C22×D311yescharacteristic
806C22×D4C22×D311yescharacteristic
807C22×D4C22×D311yescharacteristic
808C22×D4C22×D311yescharacteristic
809C22×D4C22×D311yescharacteristic
810C22×D4C22×D311yescharacteristic
811C22×D4C22×D311yescharacteristic
812C22×D4C22×D311yescharacteristic
813C22×D4C22×D311yescharacteristic
814C23×C4—31no—
815C23×C4—31no—
816C23×C4—31no—
817C23×C4—31no—
818C23×C4—31no—
819C23×C4—31no—
820C23×C4—31no—
821C23×C4—31no—
822C23×C4—31no—
823C23×C4C22×D311yescharacteristic
824C23×C4C22×D311yescharacteristic
825C23×C4C22×D311yescharacteristic
826#127—24no—
827#126—24no—
828#126—24no—
829#126—64no—
830#126—64no—
831#124—64no—
832#124—64no—
833#124—122no—
834#123—24no—
835#123—24no—
836#123—24no—
837#123—64no—
838#123—64no—
839#123—122no—
840#123—122no—
841#123—122no—
842#123—122no—
843C22⋊Q8—64no—
844#121—24no—
845#121—24no—
846#121—24no—
847#121—24no—
848#121—24no—
849#121—24no—
850#121—64no—
851#121—64no—
852#121—64no—
853#121—122no—
854#121—122no—
855#120—24no—
856#120—24no—
857#120—64no—
858#120#6718yescomplemented
859C4×D4—64no—
860C4×D4—64no—
861C4×D4—122no—
862C4×D4—122no—
863C4×D4—122no—
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⋊C4C22×D311yescharacteristic
888C2×C4⋊C4C22×D311yescharacteristic
889C2×C4⋊C4C22×D311yescharacteristic
890C2×C4⋊C4C22×D311yescharacteristic
891C2×C4⋊C4C22×D311yescharacteristic
892C2×C4⋊C4C22×D311yescharacteristic
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⋊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—64no—
936C2×C22⋊C4—122no—
937C2×C22⋊C4—122no—
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×C42—31no—
951C2×C42—31no—
952C2×C42—31no—
953C2×C42—31no—
954C2×C42—31no—
955C2×C42C22×D311yescharacteristic
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#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—
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×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—82no—
1032C23×C3—82no—
1033C23×C3—82no—
1034C23×C3—82no—
1035C23×C3C22×D412yes—
1036C23×C3C22×D412yes—
1037C23×C3C22×D412yes—
1038C23×C3C22×D412yes—
1039C23×C3C2511yescharacteristic
1040C22×D3—21no—
1041C22×D3—21no—
1042C22×D3—21no—
1043C22×D3—21no—
1044C22×D3—21no—
1045C22×D3—21no—
1046C22×D3—21no—
1047C3×D4—44no—
1048C3×D4—44no—
1049C3×D4—44no—
1050C3×D4—82no—
1051C3×D4—82no—
1052C3×D4—82no—
1053C3×D4—82no—
1054C3×D4—82no—
1055C3×D4—82no—
1056C3×D4—82no—
1057C3×D4—82no—
1058C3×D4—82no—
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—82no—
1084C2×C3×C4—82no—
1085C2×C3×C4—82no—
1086C2×C3×C4C22×D412yes—
1087C2×C3×C4C22×D412yes—
1088C2×C3×C4C22×D412yes—
1089#67—44no—
1090#67—44no—
1091#67—82no—
1092#67—82no—
1093#67—82no—
1094#67—82no—
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—21no—
1132C2×Dic3—21no—
1133C2×Dic3—21no—
1134C2×Dic3—21no—
1135C2×Dic3—21no—
1136C2×Dic3—21no—
1137C2×Dic3—21no—
1138C2×Dic3—82no—
1139C2×Dic3—82no—
1140C2×Dic3—82no—
1141C2×Dic3—82no—
1142C2×Dic3—82no—
1143C2×Dic3—82no—
1144C2×Dic3—82no—
1145C2×Dic3—82no—
1146C2×Dic3H(5,𝔽2)12yes—
1147C2×Dic3H(5,𝔽2)12yes—
1148C4×D3—82no—
1149Dic6—82no—
1150C24—31no—
1151C24—41no—
1152C24—41no—
1153C24—41no—
1154C24—41no—
1155C24—41no—
1156C24—41no—
1157C24C2×#6714yes—
1158C24C23×D311yescharacteristic
1159C24C23×D311yescharacteristic
1160C24C23×D311yescharacteristic
1161C24C23×D311yescharacteristic
1162C24C23×D311yescharacteristic
1163C24C23×D311yescharacteristic
1164C2×Q8—62no—
1165C2×Q8—121no—
1166C2×Q8—121no—
1167C2×D4—22no—
1168C2×D4—22no—
1169C2×D4—22no—
1170C2×D4—22no—
1171C2×D4—22no—
1172C2×D4—22no—
1173C2×D4—22no—
1174C2×D4—22no—
1175C2×D4—22no—
1176C2×D4—41no—
1177C2×D4—41no—
1178C2×D4—41no—
1179C2×D4—41no—
1180C2×D4—41no—
1181C2×D4—41no—
1182C2×D4—41no—
1183C2×D4—41no—
1184C2×D4—41no—
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—41no—
1197C2×D4—41no—
1198C2×D4—41no—
1199C2×D4—41no—
1200C2×D4—62no—
1201C2×D4—62no—
1202C2×D4—62no—
1203C2×D4—62no—
1204C2×D4—62no—
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×D4C2×#6714yes—
1219C2×D4C2×#6714yes—
1220C2×D4C2×#6714yes—
1221C22×C4—22no—
1222C22×C4—22no—
1223C22×C4—22no—
1224C22×C4—31no—
1225C22×C4—31no—
1226C22×C4—31no—
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—41no—
1243C22×C4—41no—
1244C22×C4—41no—
1245C22×C4—62no—
1246C22×C4—62no—
1247C22×C4—62no—
1248C22×C4—62no—
1249C22×C4—62no—
1250C22×C4—62no—
1251C22×C4—121no—
1252C22×C4—121no—
1253C22×C4—121no—
1254C22×C4—121no—
1255C22×C4—121no—
1256C22×C4—121no—
1257C22×C4—121no—
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—121no—
1270C22×C4—121no—
1271C22×C4—121no—
1272C22×C4C23×D311yescharacteristic
1273C22×C4C23×D311yescharacteristic
1274C22×C4C23×D311yescharacteristic
1275C22×C4C23×D311yescharacteristic
1276C22×C4C23×D311yescharacteristic
1277C22×C4C23×D311yescharacteristic
1278C22×C4C23×D311yescharacteristic
1279C22×C4C23×D311yescharacteristic
1280C22×C4C23×D311yescharacteristic
1281C4⋊C4—22no—
1282C4⋊C4—22no—
1283C4⋊C4—22no—
1284C4⋊C4—22no—
1285C4⋊C4—22no—
1286C4⋊C4—22no—
1287C4⋊C4—62no—
1288C4⋊C4—62no—
1289C4⋊C4—62no—
1290C4⋊C4—62no—
1291C4⋊C4—62no—
1292C4⋊C4—62no—
1293C4⋊C4—62no—
1294C4⋊C4—62no—
1295C4⋊C4—62no—
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—
1305C4⋊C4—121no—
1306C4⋊C4—121no—
1307C4⋊C4—121no—
1308C4⋊C4—121no—
1309C4⋊C4—121no—
1310C22⋊C4—22no—
1311C22⋊C4—22no—
1312C22⋊C4—22no—
1313C22⋊C4—22no—
1314C22⋊C4—22no—
1315C22⋊C4—22no—
1316C22⋊C4—22no—
1317C22⋊C4—22no—
1318C22⋊C4—22no—
1319C22⋊C4—62no—
1320C22⋊C4—62no—
1321C22⋊C4—62no—
1322C22⋊C4—62no—
1323C22⋊C4—62no—
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—121no—
1341C22⋊C4—121no—
1342C22⋊C4—121no—
1343C22⋊C4—121no—
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⋊C4C2×#6714yes—
1362C22⋊C4C2×#6714yes—
1363C22⋊C4C2×#6714yes—
1364C42—22no—
1365C42—62no—
1366C42—62no—
1367C42—62no—
1368C42—62no—
1369C42—121no—
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—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×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—41no—
1407C22×C3—41no—
1408C22×C3—41no—
1409C22×C3—41no—
1410C22×C3—41no—
1411C22×C3—41no—
1412C22×C3—88no—
1413C22×C3C23×D411yescharacteristic
1414C22×C3C2×H(5,𝔽2)11yescharacteristic
1415C22×C3C2×H(5,𝔽2)11yescharacteristic
1416C22×C3#58511yescharacteristic
1417C22×C3#58511yescharacteristic
1418C22×C3#58511yescharacteristic
1419C22×C3#58511yescharacteristic
1420C2×D3—41no—
1421C2×D3—41no—
1422C2×D3—41no—
1423C2×D3—41no—
1424C2×D3—41no—
1425C2×D3—41no—
1426C2×D3—41no—
1427C3×C4—22no—
1428C3×C4—22no—
1429C3×C4—22no—
1430C3×C4—41no—
1431C3×C4—41no—
1432C3×C4—41no—
1433C3×C4—41no—
1434C3×C4—41no—
1435C3×C4—41no—
1436Dic3—22no—
1437Dic3—22no—
1438Dic3—41no—
1439Dic3—41no—
1440Dic3—41no—
1441Dic3—41no—
1442Dic3—41no—
1443Dic3—41no—
1444Dic3—41no—
1445Dic3—41no—
1446Dic3—41no—
1447Dic3—41no—
1448Dic3—41no—
1449Dic3—41no—
1450Dic3—41no—
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—21no—
1477C23—21no—
1478C23—21no—
1479C23—21no—
1480C23—21no—
1481C23—21no—
1482C23—21no—
1483C23—21no—
1484C23—21no—
1485C23—21no—
1486C23—21no—
1487C23—21no—
1488C23—21no—
1489C23—44no—
1490C23—44no—
1491C23—44no—
1492C23—61no—
1493C23—61no—
1494C23—61no—
1495C23—61no—
1496C23—61no—
1497C23—61no—
1498C23—61no—
1499C23—82no—
1500C23—82no—
1501C23—82no—
1502C23—82no—
1503C23C22×#6712yes—
1504C23C22×#6712yes—
1505C23C22×#6712yes—
1506C23C22×#6712yes—
1507C23C24×D311yescharacteristic
1508Q8—242no—
1509D4—44no—
1510D4—44no—
1511D4—44no—
1512D4—82no—
1513D4—82no—
1514D4—82no—
1515D4—82no—
1516D4—82no—
1517D4—82no—
1518D4—82no—
1519D4—82no—
1520D4—82no—
1521D4—124no—
1522D4—124no—
1523D4—242no—
1524D4—242no—
1525D4—242no—
1526D4—242no—
1527C2×C4—21no—
1528C2×C4—21no—
1529C2×C4—21no—
1530C2×C4—21no—
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—32no—
1552C2×C4—32no—
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—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—82no—
1597C2×C4—82no—
1598C2×C4—82no—
1599C2×C4—242no—
1600C2×C4—242no—
1601C2×C4—242no—
1602C2×C4—242no—
1603C2×C4—242no—
1604C2×C4—242no—
1605C2×C4—242no—
1606C2×C4—242no—
1607C2×C4—242no—
1608C2×C4C22×#6712yes—
1609C2×C4C22×#6712yes—
1610C2×C4C22×#6712yes—
1611C2×C3—42no—
1612C2×C3—42no—
1613C2×C3—42no—
1614C2×C3—42no—
1615C2×C3—81no—
1616C2×C3—81no—
1617C2×C3#348511yescharacteristic
1618C2×C3#349611yescharacteristic
1619C2×C3#349611yescharacteristic
1620C2×C3#353311yescharacteristic
1621C2×C3#354611yescharacteristic
1622C2×C3#356011yescharacteristic
1623C2×C3#356611yescharacteristic
1624D3—81no—
1625C22—22no—
1626C22—22no—
1627C22—22no—
1628C22—22no—
1629C22—22no—
1630C22—22no—
1631C22—22no—
1632C22—22no—
1633C22—22no—
1634C22—22no—
1635C22—22no—
1636C22—22no—
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—41no—
1652C22—41no—
1653C22—41no—
1654C22—41no—
1655C22—41no—
1656C22—41no—
1657C22—41no—
1658C22—41no—
1659C22—41no—
1660C22—41no—
1661C22—41no—
1662C22—41no—
1663C22—41no—
1664C22—41no—
1665C22—41no—
1666C22—41no—
1667C22—88no—
1668C22—121no—
1669C22—121no—
1670C22—121no—
1671C22—121no—
1672C22—121no—
1673C22—121no—
1674C22—121no—
1675C22D3×H(5,𝔽2)11yescharacteristic
1676C22D3×H(5,𝔽2)11yescharacteristic
1677C22#596611yescharacteristic
1678C22#596611yescharacteristic
1679C22#596611yescharacteristic
1680C22#596611yescharacteristic
1681C22C23×#6711yescharacteristic
1682C4—22no—
1683C4—22no—
1684C4—22no—
1685C4—41no—
1686C4—41no—
1687C4—41no—
1688C4—41no—
1689C4—41no—
1690C4—41no—
1691C4—62no—
1692C4—62no—
1693C4—121no—
1694C4—121no—
1695C4—121no—
1696C4—121no—
1697C4—121no—
1698C4—121no—
1699C4—121no—
1700C4—121no—
1701C4—121no—
1702C4—121no—
1703C4—121no—
1704C4—121no—
1705C4—121no—
1706C3#4784911yescharacteristic, complemented, Sylow
1707C2—42no—
1708C2—42no—
1709C2—42no—
1710C2—42no—
1711C2—81no—
1712C2—81no—
1713C2—241no—
1714C2#8707511yescharacteristic
1715C2#8707811yescharacteristic
1716C2#8708111yescharacteristic
1717C2#8708411yescharacteristic
1718C2#8728011yescharacteristic
1719C2#8728111yescharacteristic
1720C2#8728111yescharacteristic
subgroupG/H
center, FrattiniC23C24×D3
commutator, socle, cosocleC23×C3C25
FittingC2×C3×#560C2
hypercenterC2×#560D3
hypocenterC3#47849
LCSG ▷ C23×C3 ▷ C3
UCSC1 ◁ C23 ◁ C2×#560

Complements

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

NH ≅ G/Ntype
1. C2×C3×#560C2semidirect
2. C2×#5593C2semidirect
3. #83182C2semidirect
4. #83178C2semidirect
5. #83095C2semidirect
6. #83093C2semidirect
7. #83083C2semidirect
8. #83077C2semidirect
9. #82886C2semidirect
10. #82877C2semidirect
11. #82875C2semidirect
12. #82860C2semidirect
13. #82847C2semidirect
14. #82845C2semidirect
15. #82715C2semidirect
16. #82694C2semidirect
17. #82690C2semidirect
18. #82689C2semidirect
19. #82686C2semidirect
20. #82682C2semidirect
21. #82672C2semidirect
22. #82666C2semidirect
23. #82657C2semidirect
24. #82656C2semidirect
25. #82645C2semidirect
26. #82644C2semidirect
27. #82592C2semidirect
28. #82592C2semidirect
29. #82584C2semidirect
30. #82584C2semidirect
31. #82579C2semidirect
59. C2×#936C22semidirect
63. C2×#935C22semidirect
67. C2×#929C22semidirect
68. C2×C4×#67C22semidirect
80. #5223C22semidirect
81. #5223C22semidirect
82. #5223C22semidirect
91. #5222C22semidirect
92. #5222C22semidirect
93. #5222C22semidirect
95. #5221C22semidirect
107. #5220C22semidirect
108. #5220C22semidirect
109. #5220C22semidirect
110. #5213C22semidirect
111. #5212C22semidirect
112. #5212C22semidirect
113. #5210C22semidirect
114. #5210C22semidirect
115. #5210C22semidirect
116. #5210C22semidirect
117. #5210C22semidirect
118. C4×#217C22semidirect
119. C2×C3⋊#95C22semidirect
120. #4994C22semidirect
121. #4994C22semidirect
122. #4992C22semidirect
123. #4990C22semidirect
124. #4989C22semidirect
125. #4987C22semidirect
126. #4986C22semidirect
127. #4985C22semidirect
128. #4985C22semidirect
129. #4983C22semidirect
130. #4982C22semidirect
131. #4982C22semidirect
132. #4981C22semidirect
133. #4979C22semidirect
134. #4979C22semidirect
135. #4978C22semidirect
136. #4978C22semidirect
137. #4978C22semidirect
138. #4977C22semidirect
139. #4976C22semidirect
140. #4976C22semidirect
141. #4976C22semidirect
142. #4975C22semidirect
143. #4972C22semidirect
150. #4958C22semidirect
151. #4957C22semidirect
152. #4956C22semidirect
153. #4953C22semidirect
162. #4952C22semidirect
163. #4952C22semidirect
168. #4949C22semidirect
169. #4948C22semidirect
170. #4948C22semidirect
173. #4946C22semidirect
174. #4945C22semidirect
175. #4944C22semidirect
186. #4940C22semidirect
187. #4933C22semidirect
188. C4×Dic3⋊C4C22semidirect
189. #4929C22semidirect
190. C2×#560D3semidirect
267. C3×#120D4semidirect
858. #120#67semidirect
1706. C3#47849semidirect

Maximal subgroups

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

subgroupindex
C2×C3×#5602
C2×#55932
#831822
#831782
#830952
#830932
#830832
#830772
#828862
#828772
#828752
#828602
#828472
#828452
#827152
#826942
#826902
#826892
#826862
#826822
#826722
#826662
#826572
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