Finite Group Databasebeta

← #11025786

Subgroups — #11025786

Order 768.

2100 conjugacy classes of subgroups.

The subgroup lattice has 1514 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#5682C211yesmaximal, characteristic, complemented
2C2×#5538C211yesmaximal, characteristic, complemented
3C3×#2461C211yesmaximal, characteristic, complemented
4#82988C211yesmaximal, characteristic, complemented
5#82897C211yesmaximal, characteristic, complemented
6#82838C211yesmaximal, characteristic, complemented
7#82817C211yesmaximal, characteristic, complemented
8Dic3×C22⋊Q8C211yesmaximal, characteristic, complemented
9#82361C211yesmaximal, characteristic, complemented
10#77350C211yesmaximal, characteristic, complemented
11#77345C211yesmaximal, characteristic, complemented
12#77266C211yesmaximal, characteristic, complemented
13#77204C211yesmaximal, characteristic, complemented
14#77028C211yesmaximal, characteristic, complemented
15#76947C211yesmaximal, characteristic, complemented
16#76773C211yesmaximal, characteristic
17#76678C211yesmaximal, characteristic, complemented
18#76401C211yesmaximal, characteristic, complemented
19#76357C211yesmaximal, characteristic, complemented
20#75706C211yesmaximal, characteristic, complemented
21#75671C211yesmaximal, characteristic, complemented
22#75531C211yesmaximal, characteristic, complemented
23#75525C211yesmaximal, characteristic, complemented
24#75497C211yesmaximal, characteristic, complemented
25#75472C211yesmaximal, characteristic, complemented
26#74870C211yesmaximal, characteristic, complemented
27#74715C211yesmaximal, characteristic, complemented
28#74449C211yesmaximal, characteristic, complemented
29#74408C211yesmaximal, characteristic, complemented
30#73767C211yesmaximal, characteristic, complemented
31#73672C211yesmaximal, characteristic, complemented
32#37730—31nomaximal, Sylow
33C2×C3×#124C2211yescharacteristic
34C2×C3×#123C2211yescharacteristic
35C2×C3×C22⋊Q8C2211yescharacteristic
36C2×C3×C4×D4C2211yescharacteristic
37C2×#946C2211yescharacteristic
38C2×Q8×Dic3C2211yescharacteristic
39C2×#939C2211yescharacteristic
40C2×#938C2211yescharacteristic
41C2×#935C2211yescharacteristic
42C2×D4×Dic3C2211yescharacteristic
43C2×C4×#67C2211yescharacteristic
44C2×C4×#67C2211yescharacteristic
45C2×#926C2211yescharacteristic
46C22×C4×Dic3C2211yescharacteristic
47#5682—28no—
48#5538—28no—
49C2×#898C2211yescharacteristic
50C2×D3×C4⋊C4C2211yescharacteristic
51C2×#889C2211yescharacteristic
52C2×#886C2211yescharacteristic
53C2×#886C2211yescharacteristic
54C2×#886C2211yescharacteristic
55C2×#885C2211yescharacteristic
56C2×#885C2211yescharacteristic
57C2×#879C2211yescharacteristic
58C2×#879C2211yescharacteristic
59C2×#879C2211yescharacteristic
60C2×#878C2211yescharacteristic
61C2×#878C2211yescharacteristic
62C2×#878C2211yescharacteristic
63C2×#872C2211yescharacteristic
64C2×#872C2211yescharacteristic
65C2×#869C2211yescharacteristic
66C2×C4×Dic6C2211yescharacteristic
67C3×#396C2211yescharacteristic
68C3×#395C2211yescharacteristic
69C3×#394C2211yescharacteristic
70C3×#392C2211yescharacteristic
71C3×#390C2211yescharacteristic
72C3×#388C2211yescharacteristic
73C3×#388C2211yescharacteristic
74C3×#388C2211yescharacteristic
75C3×#386C2211yescharacteristic
76C3×#385C2211yescharacteristic
77C3×C4×C4⋊C4C2211yescharacteristic
78#5230C2211yescharacteristic
79#5229C2211yescharacteristic
80#5223C2211yescharacteristic
81#5222C2211yescharacteristic
82#5220C2211yescharacteristic
83#5220C2211yescharacteristic
84#5220C2211yescharacteristic
85#5220C2211yescharacteristic
86#5220C2211yescharacteristic
87#5220C2211yescharacteristic
88#5212C2211yescharacteristic
89#5210C2211yescharacteristic
90#5210C2211yescharacteristic
91C2×C3⋊#95C2211yescharacteristic
92#4992C2211yescharacteristic
93#4989C2211yescharacteristic
94#4989C2211yescharacteristic
95#4989C2211yescharacteristic
96#4987C2211yescharacteristic
97#4986C2211yescharacteristic
98#4984C2211yescharacteristic
99#4984C2211yescharacteristic
100#4982C2211yescharacteristic
101#4982C2211yescharacteristic
102#4982C2211yescharacteristic
103#4982C2211yescharacteristic
104#4982C2211yescharacteristic
105#4982C2211yescharacteristic
106#4981C2211yescharacteristic
107#4980C2211yescharacteristic
108#4980C2211yescharacteristic
109#4980C2211yescharacteristic
110#4980C2211yescharacteristic
111#4980C2211yescharacteristic
112#4976C2211yescharacteristic
113Dic3×C4⋊C4C2211yescharacteristic
114Dic3×C4⋊C4C2211yescharacteristic
115Dic3×C4⋊C4C2211yescharacteristic
116#4972C2211yescharacteristic
117#4961C2211yescharacteristic
118#4959C2211yescharacteristic
119#4958C2211yescharacteristic
120#4956C2211yescharacteristic
121#4956C2211yescharacteristic
122#4956C2211yescharacteristic
123#4956C2211yescharacteristic
124#4956C2211yescharacteristic
125#4953C2211yescharacteristic
126#4953C2211yescharacteristic
127#4953C2211yescharacteristic
128#4952C2211yescharacteristic
129#4952C2211yescharacteristic
130#4951C2211yescharacteristic
131#4951C2211yescharacteristic
132#4951C2211yescharacteristic
133#4950C2211yescharacteristic
134#4950C2211yescharacteristic
135#4950C2211yescharacteristic
136#4950C2211yescharacteristic
137#4950C2211yescharacteristic
138#4950C2211yescharacteristic
139#4949C2211yescharacteristic
140#4949C2211yescharacteristic
141#4948C2211yescharacteristic
142#4948C2211yescharacteristic
143#4948C2211yescharacteristic
144#4948C2211yescharacteristic
145#4947C2211yescharacteristic
146#4946C2211yescharacteristic
147#4945C2211yescharacteristic
148#4945C2211yescharacteristic
149#4944C2211yescharacteristic
150#4944C2211yescharacteristic
151#4943C2211yescharacteristic
152#4942C2211yescharacteristic
153#4942C2211yescharacteristic
154Dic3×C22⋊C4C2211yescharacteristic
155Dic3×C22⋊C4C2211yescharacteristic
156Dic3×C22⋊C4C2211yescharacteristic
157Dic3×C22⋊C4C2211yescharacteristic
158C4×(C2×D3)⋊C4C2211yescharacteristic
159#4933C2211yescharacteristic
160#4933C2211yescharacteristic
161#4929C2211yescharacteristic
162#4929C2211yescharacteristic
163#4929C2211yescharacteristic
164#4928C2211yescharacteristic
165#4928C2211yescharacteristic
166#4675C2211yescharacteristic
167#4674C2211yescharacteristic
168#4670C2211yescharacteristic
169#4670C2211yescharacteristic
170#4664C2211yescharacteristic
171#4664C2211yescharacteristic
172#4661C2211yescharacteristic
173#4660C2211yescharacteristic
174#4660C2211yescharacteristic
175#4660C2211yescharacteristic
176#4660C2211yescharacteristic
177#4659C2211yescharacteristic
178#4659C2211yescharacteristic
179#4656C2211yescharacteristic
180#4655C2211yescharacteristic
181#4655C2211yescharacteristic
182#4653C2211yescharacteristic
183#4652C2211yescharacteristic
184#4652C2211yescharacteristic
185#4652C2211yescharacteristic
186#4651C2211yescharacteristic
187#4650C2211yescharacteristic
188#4647C2211yescharacteristic
189#4646C2211yescharacteristic
190C2×#542—31no—
191C2×#529—31no—
192#2852—31no—
193#2732—31no—
194#2729—31no—
195#2715—31no—
196#2708—31no—
197#2698—31no—
198#2695—31no—
199#2689—31no—
200#2688—31no—
201#2664—31no—
202#2634—31no—
203#2557—31no—
204#2553—31no—
205#2478—31no—
206#2474—31no—
207#2470—31no—
208#2461D311yescharacteristic, complemented
209#2457—31no—
210#2457—31no—
211#2450—31no—
212#2449—31no—
213#2446—31no—
214#2443—31no—
215#2421—31no—
216#2419—31no—
217#2359—31no—
218#2344—31no—
219#2337—31no—
220C4×C22⋊Q8—31no—
221C22×C3×Q8C2311yescharacteristic
222C22×C3×D4C2311yescharacteristic
223C22×C3×D4C2311yescharacteristic
224C22×C3×D4C2311yescharacteristic
225C23×C3×C4C2311yescharacteristic
226C23×C3×C4C2311yescharacteristic
227C22×#67C2311yescharacteristic
228C22×#67C2311yescharacteristic
229C22×#67C2311yescharacteristic
230C23×Dic3C2311yescharacteristic
231C23×Dic3C2311yescharacteristic
232C23×Dic3C2311yescharacteristic
233C23×Dic3C2311yescharacteristic
234C23×Dic3C2311yescharacteristic
235C22×C4×D3C2311yescharacteristic
236C22×C4×D3C2311yescharacteristic
237C22×C4×D3C2311yescharacteristic
238C22×Dic6C2311yescharacteristic
239C22×Dic6C2311yescharacteristic
240C3×#124—24no—
241C3×#123—24no—
242C3×C22⋊Q8—24no—
243C3×C4×D4—24no—
244C2×C3×C4⋊C4C2311yescharacteristic
245C2×C3×C4⋊C4C2311yescharacteristic
246C2×C3×C4⋊C4C2311yescharacteristic
247C2×C3×C4⋊C4C2311yescharacteristic
248C2×C3×C4⋊C4C2311yescharacteristic
249C2×C3×C4⋊C4C2311yescharacteristic
250C2×C3×C4⋊C4C2311yescharacteristic
251C2×C3×C22⋊C4C2311yescharacteristic
252C2×C3×C22⋊C4C2311yescharacteristic
253C2×C3×C22⋊C4C2311yescharacteristic
254C2×C3×C22⋊C4C2311yescharacteristic
255C2×C3×C22⋊C4C2311yescharacteristic
256C2×C3×C22⋊C4C2311yescharacteristic
257C2×C3×C22⋊C4C2311yescharacteristic
258C2×C3×C22⋊C4C2311yescharacteristic
259C2×C3×C22⋊C4C2311yescharacteristic
260C2×C3×C22⋊C4C2311yescharacteristic
261C2×C3×C22⋊C4C2311yescharacteristic
262C2×C3×C22⋊C4C2311yescharacteristic
263C2×C3×C22⋊C4C2311yescharacteristic
264C2×C3×C42C2311yescharacteristic
265C2×C3×C42C2311yescharacteristic
266C2×C3×C42C2311yescharacteristic
267C2×#217C2311yescharacteristic
268C2×#217C2311yescharacteristic
269C2×#217C2311yescharacteristic
270C2×#217C2311yescharacteristic
271C2×#217C2311yescharacteristic
272C2×#217C2311yescharacteristic
273C2×#217C2311yescharacteristic
274C2×#217C2311yescharacteristic
275C2×#217C2311yescharacteristic
276C2×#217C2311yescharacteristic
277C2×#217C2311yescharacteristic
278C2×#217C2311yescharacteristic
279C2×#217C2311yescharacteristic
280C2×#217C2311yescharacteristic
281C2×#217C2311yescharacteristic
282C2×#217C2311yescharacteristic
283#946—24no—
284Q8×Dic3—24no—
285#939—24no—
286#938—24no—
287#935—24no—
288D4×Dic3—24no—
289C4×#67—24no—
290C4×#67—24no—
291C2×(C2×D3)⋊C4C2311yescharacteristic
292C2×(C2×D3)⋊C4C2311yescharacteristic
293C2×(C2×D3)⋊C4C2311yescharacteristic
294C2×(C2×D3)⋊C4C2311yescharacteristic
295C2×(C2×D3)⋊C4C2311yescharacteristic
296C2×(C2×D3)⋊C4C2311yescharacteristic
297C2×(C2×D3)⋊C4C2311yescharacteristic
298C2×(C2×D3)⋊C4C2311yescharacteristic
299C2×(C2×D3)⋊C4C2311yescharacteristic
300#926—24no—
301C2×C4⋊Dic3C2311yescharacteristic
302C2×C4⋊Dic3C2311yescharacteristic
303C2×C4⋊Dic3C2311yescharacteristic
304C2×C4⋊Dic3C2311yescharacteristic
305C2×C4⋊Dic3C2311yescharacteristic
306C2×C4⋊Dic3C2311yescharacteristic
307C2×C4⋊Dic3C2311yescharacteristic
308C2×C4⋊Dic3C2311yescharacteristic
309C2×C4⋊Dic3C2311yescharacteristic
310C2×C4⋊Dic3C2311yescharacteristic
311C2×C4⋊Dic3C2311yescharacteristic
312C2×C4⋊Dic3C2311yescharacteristic
313C2×C4⋊Dic3C2311yescharacteristic
314C2×C4⋊Dic3C2311yescharacteristic
315C2×C4⋊Dic3C2311yescharacteristic
316C2×Dic3⋊C4C2311yescharacteristic
317C2×Dic3⋊C4C2311yescharacteristic
318C2×Dic3⋊C4C2311yescharacteristic
319C2×Dic3⋊C4C2311yescharacteristic
320C2×Dic3⋊C4C2311yescharacteristic
321C2×Dic3⋊C4C2311yescharacteristic
322C2×Dic3⋊C4C2311yescharacteristic
323C2×Dic3⋊C4C2311yescharacteristic
324C2×Dic3⋊C4C2311yescharacteristic
325C2×Dic3⋊C4C2311yescharacteristic
326C2×Dic3⋊C4C2311yescharacteristic
327C2×Dic3⋊C4C2311yescharacteristic
328C2×Dic3⋊C4C2311yescharacteristic
329C2×Dic3⋊C4C2311yescharacteristic
330C2×Dic3⋊C4C2311yescharacteristic
331C2×Dic3⋊C4C2311yescharacteristic
332C2×Dic3⋊C4C2311yescharacteristic
333C2×C4×Dic3—24no—
334C2×C4×Dic3C2311yescharacteristic
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#898—24no—
345D3×C4⋊C4—24no—
346#889—24no—
347#886—24no—
348#886—24no—
349#886—24no—
350#885—24no—
351#885D418yescomplemented
352#879—24no—
353#879—24no—
354#879—24no—
355#878—24no—
356#878—24no—
357#878—24no—
358#872—24no—
359#872—24no—
360#869—24no—
361C4×Dic6—24no—
362C3×#95C2311yescharacteristic
363C3×#95C2311yescharacteristic
364C3×#95C2311yescharacteristic
365C3×#95C2311yescharacteristic
366C3×#95C2311yescharacteristic
367C3×#95C2311yescharacteristic
368C3⋊#95C2311yescharacteristic
369C3⋊#95C2311yescharacteristic
370C3⋊#95C2311yescharacteristic
371C3⋊#95C2311yescharacteristic
372C3⋊#95C2311yescharacteristic
373C3⋊#95C2311yescharacteristic
374C3⋊#95C2311yescharacteristic
375C3⋊#95C2311yescharacteristic
376C3⋊#95C2311yescharacteristic
377C3⋊#95C2311yescharacteristic
378C3⋊#95C2311yescharacteristic
379C3⋊#95C2311yescharacteristic
380C3⋊#95C2311yescharacteristic
381C3⋊#95C2311yescharacteristic
382C3⋊#95C2311yescharacteristic
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
408#542—68no—
409C2×C4⋊Q8—31no—
410#529—68no—
411C2×#126—31no—
412C2×#126—31no—
413C2×#126—31no—
414C2×#126—31no—
415C2×#125—31no—
416C2×#124—31no—
417C2×#124—31no—
418C2×#124C2×D311yescharacteristic
419C2×#123—31no—
420C2×#123—31no—
421C2×#123—31no—
422C2×#123—31no—
423C2×#123C2×D311yescharacteristic
424C2×C22⋊Q8—31no—
425C2×C22⋊Q8—31no—
426C2×C22⋊Q8—31no—
427C2×C22⋊Q8—31no—
428C2×C22⋊Q8C2×D311yescharacteristic
429C2×#121—31no—
430C2×#121—31no—
431C2×C4×Q8—31no—
432C2×C4×Q8—31no—
433C2×C4×D4—31no—
434C2×C4×D4—31no—
435C2×C4×D4—31no—
436C2×C4×D4C2×D311yescharacteristic
437C2×#117—31no—
438C2×#117—31no—
439C2×#117—31no—
440C22×C4⋊C4—31no—
441C22×C42—31no—
442#400—31no—
443#400—31no—
444#400—31no—
445#400—31no—
446#400—31no—
447#400—31no—
448#400—31no—
449#399—31no—
450#399—31no—
451#398—31no—
452#398—31no—
453#398—31no—
454#398—31no—
455#398—31no—
456#398—31no—
457#398—31no—
458#398—31no—
459#397—31no—
460#397—31no—
461#397—31no—
462#397—31no—
463#397—31no—
464#397—31no—
465#397—31no—
466#397—31no—
467#396—31no—
468#396—31no—
469#396—31no—
470#396—31no—
471#396C2×D311yescharacteristic
472#395—31no—
473#395—31no—
474#395C2×D311yescharacteristic
475#394—31no—
476#394—31no—
477#394—31no—
478#394C2×D311yescharacteristic
479#393—31no—
480#392—31no—
481#392C2×D311yescharacteristic
482#391—31no—
483#391—31no—
484#391—31no—
485#391—31no—
486#391—31no—
487#390C2×D311yescharacteristic
488#389—31no—
489#389—31no—
490#389—31no—
491#389—31no—
492#389—31no—
493#389—31no—
494#389—31no—
495#388—31no—
496#388—31no—
497#388—31no—
498#388—31no—
499#388—31no—
500#388—31no—
501#388—31no—
502#388—31no—
503#388—31no—
504#388C2×D311yescharacteristic
505#388C2×D311yescharacteristic
506#388C2×D311yescharacteristic
507#387—31no—
508#387—31no—
509#387—31no—
510#387—31no—
511#387—31no—
512#387—31no—
513#387—31no—
514#387—31no—
515#387—31no—
516#387—31no—
517#387—31no—
518#387—31no—
519#387—31no—
520#386—31no—
521#386—31no—
522#386—31no—
523#386—31no—
524#386—31no—
525#386—31no—
526#386—31no—
527#386—31no—
528#386—31no—
529#386—31no—
530#386—31no—
531#386—31no—
532#386C2×D311yescharacteristic
533#385—31no—
534#385—31no—
535#385—31no—
536#385—31no—
537#385—31no—
538#385—31no—
539#385—31no—
540#385—31no—
541#385—31no—
542#385—31no—
543#385—31no—
544#385—31no—
545#385C2×D311yescharacteristic
546#383—31no—
547#382—31no—
548#381—31no—
549#381—31no—
550#381—31no—
551#380—31no—
552#380—31no—
553#380—31no—
554#380—31no—
555C4×C4⋊C4—31no—
556C4×C4⋊C4—31no—
557C4×C4⋊C4—31no—
558C4×C4⋊C4C2×D311yescharacteristic
559C4×C22⋊C4—31no—
560C4×C22⋊C4—31no—
561C4×C22⋊C4—31no—
562C4×C22⋊C4—31no—
563C4×C22⋊C4—31no—
564C2×#95—31no—
565C24×C3C2411yescharacteristic
566C24×C3C2411yescharacteristic
567C24×C3C2411yescharacteristic
568C23×D3C2411yescharacteristic
569C2×C3×Q8—22no—
570C2×C3×Q8—22no—
571C2×C3×Q8—41no—
572C2×C3×D4—22no—
573C2×C3×D4—22no—
574C2×C3×D4—22no—
575C2×C3×D4—22no—
576C2×C3×D4—22no—
577C2×C3×D4—41no—
578C2×C3×D4—41no—
579C2×C3×D4—41no—
580C2×C3×D4—41no—
581C22×C3×C4—22no—
582C22×C3×C4—22no—
583C22×C3×C4—22no—
584C22×C3×C4—22no—
585C22×C3×C4—41no—
586C22×C3×C4—41no—
587C22×C3×C4C2411yescharacteristic
588C22×C3×C4C2411yescharacteristic
589C22×C3×C4C2411yescharacteristic
590C22×C3×C4C2411yescharacteristic
591C22×C3×C4C2411yescharacteristic
592C22×C3×C4C2411yescharacteristic
593C22×C3×C4C2411yescharacteristic
594C22×C3×C4C2411yescharacteristic
595C22×C3×C4C2411yescharacteristic
596C22×C3×C4C2411yescharacteristic
597C22×C3×C4C2411yescharacteristic
598C22×C3×C4C2411yescharacteristic
599C2×#67—22no—
600C2×#67—22no—
601C2×#67—22no—
602C2×#67—41no—
603C2×#67—41no—
604C2×#67—41no—
605C2×#67—41no—
606C2×#67—41no—
607C2×#67C2×D414yes—
608C22×Dic3—22no—
609C22×Dic3—22no—
610C22×Dic3—22no—
611C22×Dic3—22no—
612C22×Dic3—22no—
613C22×Dic3—41no—
614C22×Dic3—41no—
615C22×Dic3—41no—
616C22×Dic3—41no—
617C22×Dic3—41no—
618C22×Dic3—41no—
619C22×Dic3—41no—
620C22×Dic3—41no—
621C22×Dic3—41no—
622C22×Dic3—41no—
623C22×Dic3C2411yescharacteristic
624C22×Dic3C2411yescharacteristic
625C22×Dic3C2411yescharacteristic
626C22×Dic3C2411yescharacteristic
627C22×Dic3C2411yescharacteristic
628C22×Dic3C2411yescharacteristic
629C22×Dic3C2411yescharacteristic
630C22×Dic3C2411yescharacteristic
631C22×Dic3C2411yescharacteristic
632C22×Dic3C2411yescharacteristic
633C22×Dic3C2411yescharacteristic
634C22×Dic3C2411yescharacteristic
635C22×Dic3C2411yescharacteristic
636C22×Dic3C2411yescharacteristic
637C22×Dic3C2411yescharacteristic
638C2×C4×D3—22no—
639C2×C4×D3—22no—
640C2×C4×D3—22no—
641C2×C4×D3—22no—
642C2×C4×D3—22no—
643C2×C4×D3—41no—
644C2×C4×D3—41no—
645C2×C4×D3—41no—
646C2×C4×D3—41no—
647C2×Dic6—22no—
648C2×Dic6—41no—
649C2×Dic6—41no—
650C2×Dic6—41no—
651C2×Dic6—41no—
652C2×Dic6C2×D414yes—
653C3×C4⋊C4—22no—
654C3×C4⋊C4—22no—
655C3×C4⋊C4—22no—
656C3×C4⋊C4—22no—
657C3×C4⋊C4—41no—
658C3×C4⋊C4—41no—
659C3×C4⋊C4#4114yes—
660C3×C22⋊C4—22no—
661C3×C22⋊C4—22no—
662C3×C22⋊C4—22no—
663C3×C22⋊C4—22no—
664C3×C22⋊C4—22no—
665C3×C22⋊C4—22no—
666C3×C22⋊C4—22no—
667C3×C22⋊C4—22no—
668C3×C22⋊C4—22no—
669C3×C22⋊C4—22no—
670C3×C22⋊C4—41no—
671C3×C22⋊C4—41no—
672C3×C22⋊C4C2×D414yes—
673C3×C42—22no—
674C3×C42—22no—
675C3×C42—41no—
676#217—22no—
677#217—22no—
678#217—22no—
679#217—22no—
680#217—22no—
681#217—22no—
682#217—41no—
683#217—41no—
684#217—41no—
685#217—41no—
686#217—41no—
687#217—41no—
688#217—41no—
689#217—41no—
690#217—41no—
691#217C2×D414yes—
692(C2×D3)⋊C4—22no—
693(C2×D3)⋊C4—22no—
694(C2×D3)⋊C4—22no—
695(C2×D3)⋊C4—22no—
696(C2×D3)⋊C4—41no—
697(C2×D3)⋊C4—41no—
698(C2×D3)⋊C4—41no—
699(C2×D3)⋊C4C2×D414yes—
700(C2×D3)⋊C4C2×D414yes—
701C4⋊Dic3—22no—
702C4⋊Dic3—22no—
703C4⋊Dic3—22no—
704C4⋊Dic3—22no—
705C4⋊Dic3—22no—
706C4⋊Dic3—22no—
707C4⋊Dic3—22no—
708C4⋊Dic3—22no—
709C4⋊Dic3—22no—
710C4⋊Dic3—22no—
711C4⋊Dic3—41no—
712C4⋊Dic3—41no—
713C4⋊Dic3—41no—
714C4⋊Dic3—41no—
715C4⋊Dic3—41no—
716Dic3⋊C4—22no—
717Dic3⋊C4—22no—
718Dic3⋊C4—22no—
719Dic3⋊C4—22no—
720Dic3⋊C4—22no—
721Dic3⋊C4—22no—
722Dic3⋊C4—22no—
723Dic3⋊C4—22no—
724Dic3⋊C4—22no—
725Dic3⋊C4—22no—
726Dic3⋊C4—22no—
727Dic3⋊C4—22no—
728Dic3⋊C4—41no—
729Dic3⋊C4—41no—
730Dic3⋊C4—41no—
731Dic3⋊C4—41no—
732Dic3⋊C4—41no—
733C4×Dic3—22no—
734C4×Dic3—22no—
735C4×Dic3—22no—
736C4×Dic3—22no—
737C4×Dic3—22no—
738C4×Dic3—22no—
739C4×Dic3—41no—
740C4×Dic3—41no—
741C4×Dic3—41no—
742C4×Dic3C2×D414yes—
743C22×Q8—31no—
744C22×Q8—31no—
745C22×Q8C22×D311yescharacteristic
746C22×D4—31no—
747C22×D4—31no—
748C22×D4—31no—
749C22×D4C22×D311yescharacteristic
750C22×D4C22×D311yescharacteristic
751C22×D4C22×D311yescharacteristic
752C23×C4—31no—
753C23×C4—31no—
754C23×C4—31no—
755C23×C4—31no—
756C23×C4—31no—
757C23×C4—31no—
758C23×C4—31no—
759C23×C4—31no—
760C23×C4C22×D311yescharacteristic
761C23×C4C22×D311yescharacteristic
762C4⋊Q8—64no—
763#126—64no—
764#126—64no—
765#126—64no—
766#126—64no—
767#125—64no—
768#124—24no—
769#124—38no—
770#124—64no—
771#123—24no—
772#123—64no—
773#123—64no—
774#123—64no—
775#123—64no—
776C22⋊Q8—24no—
777C22⋊Q8—64no—
778C22⋊Q8—64no—
779C22⋊Q8—64no—
780C22⋊Q8—64no—
781#121—64no—
782#121—64no—
783C4×Q8—64no—
784C4×Q8—64no—
785C4×D4—24no—
786C4×D4—64no—
787C4×D4—64no—
788C4×D4—64no—
789#117—64no—
790#117—64no—
791#117—64no—
792C2×C4⋊C4—31no—
793C2×C4⋊C4—31no—
794C2×C4⋊C4—31no—
795C2×C4⋊C4—31no—
796C2×C4⋊C4—31no—
797C2×C4⋊C4—31no—
798C2×C4⋊C4—31no—
799C2×C4⋊C4—31no—
800C2×C4⋊C4—31no—
801C2×C4⋊C4—31no—
802C2×C4⋊C4—31no—
803C2×C4⋊C4—31no—
804C2×C4⋊C4—31no—
805C2×C4⋊C4—31no—
806C2×C4⋊C4—31no—
807C2×C4⋊C4—31no—
808C2×C4⋊C4—31no—
809C2×C4⋊C4—31no—
810C2×C4⋊C4—31no—
811C2×C4⋊C4—31no—
812C2×C4⋊C4—31no—
813C2×C4⋊C4—31no—
814C2×C4⋊C4—31no—
815C2×C4⋊C4—31no—
816C2×C4⋊C4—31no—
817C2×C4⋊C4—31no—
818C2×C4⋊C4—31no—
819C2×C4⋊C4—31no—
820C2×C4⋊C4—31no—
821C2×C4⋊C4—31no—
822C2×C4⋊C4—31no—
823C2×C4⋊C4—31no—
824C2×C4⋊C4—64no—
825C2×C4⋊C4C22×D311yescharacteristic
826C2×C4⋊C4C22×D311yescharacteristic
827C2×C4⋊C4C22×D311yescharacteristic
828C2×C4⋊C4C22×D311yescharacteristic
829C2×C4⋊C4C22×D311yescharacteristic
830C2×C4⋊C4C22×D311yescharacteristic
831C2×C4⋊C4C22×D311yescharacteristic
832C2×C22⋊C4—31no—
833C2×C22⋊C4—31no—
834C2×C22⋊C4—31no—
835C2×C22⋊C4—31no—
836C2×C22⋊C4—31no—
837C2×C22⋊C4—31no—
838C2×C22⋊C4—31no—
839C2×C22⋊C4—31no—
840C2×C22⋊C4—31no—
841C2×C22⋊C4—31no—
842C2×C22⋊C4—31no—
843C2×C22⋊C4—31no—
844C2×C22⋊C4—31no—
845C2×C22⋊C4—31no—
846C2×C22⋊C4—31no—
847C2×C22⋊C4—31no—
848C2×C22⋊C4—31no—
849C2×C22⋊C4—31no—
850C2×C22⋊C4—31no—
851C2×C22⋊C4—31no—
852C2×C22⋊C4—31no—
853C2×C22⋊C4—31no—
854C2×C22⋊C4—31no—
855C2×C22⋊C4—31no—
856C2×C22⋊C4—31no—
857C2×C22⋊C4C22×D311yescharacteristic
858C2×C22⋊C4C22×D311yescharacteristic
859C2×C22⋊C4C22×D311yescharacteristic
860C2×C22⋊C4C22×D311yescharacteristic
861C2×C22⋊C4C22×D311yescharacteristic
862C2×C22⋊C4C22×D311yescharacteristic
863C2×C22⋊C4C22×D311yescharacteristic
864C2×C22⋊C4C22×D311yescharacteristic
865C2×C22⋊C4C22×D311yescharacteristic
866C2×C22⋊C4C22×D311yescharacteristic
867C2×C22⋊C4C22×D311yescharacteristic
868C2×C22⋊C4C22×D311yescharacteristic
869C2×C22⋊C4C22×D311yescharacteristic
870C2×C42—31no—
871C2×C42—31no—
872C2×C42—31no—
873C2×C42—31no—
874C2×C42—31no—
875C2×C42—31no—
876C2×C42—31no—
877C2×C42—31no—
878C2×C42—31no—
879C2×C42—31no—
880C2×C42—64no—
881C2×C42C22×D311yescharacteristic
882C2×C42C22×D311yescharacteristic
883C2×C42C22×D311yescharacteristic
884#95—31no—
885#95—31no—
886#95—31no—
887#95—31no—
888#95—31no—
889#95—31no—
890#95—31no—
891#95—31no—
892#95—31no—
893#95—31no—
894#95—31no—
895#95—31no—
896#95—31no—
897#95—31no—
898#95—31no—
899#95—31no—
900#95—31no—
901#95—31no—
902#95—31no—
903#95—31no—
904#95—31no—
905#95—31no—
906#95—31no—
907#95—31no—
908#95—31no—
909#95—31no—
910#95—31no—
911#95—31no—
912#95—31no—
913#95—31no—
914#95—31no—
915#95—31no—
916#95—31no—
917#95—31no—
918#95—31no—
919#95—31no—
920#95—31no—
921#95—31no—
922#95—31no—
923#95—31no—
924#95C22×D311yescharacteristic
925#95C22×D311yescharacteristic
926#95C22×D311yescharacteristic
927#95C22×D311yescharacteristic
928#95C22×D311yescharacteristic
929#95C22×D311yescharacteristic
930C23×C3—21no—
931C23×C3—21no—
932C23×C3—21no—
933C23×C3—21no—
934C23×C3—21no—
935C23×C3—21no—
936C23×C3—21no—
937C23×C3—21no—
938C23×C3—21no—
939C23×C3—21no—
940C23×C3—21no—
941C23×C3—21no—
942C23×C3—21no—
943C23×C3—21no—
944C23×C3—21no—
945C23×C3—21no—
946C23×C3—21no—
947C23×C3—21no—
948C23×C3—21no—
949C23×C3C22×D412yes—
950C23×C32−1+412yes—
951C23×C3C2511yescharacteristic
952C22×D3—21no—
953C22×D3—21no—
954C22×D3—21no—
955C22×D3—21no—
956C22×D3—21no—
957C22×D3—21no—
958C22×D3C22×D412yes—
959C3×Q8—44no—
960C3×D4—44no—
961C3×D4—44no—
962C3×D4—82no—
963C2×C3×C4—21no—
964C2×C3×C4—21no—
965C2×C3×C4—21no—
966C2×C3×C4—21no—
967C2×C3×C4—21no—
968C2×C3×C4—21no—
969C2×C3×C4—21no—
970C2×C3×C4—21no—
971C2×C3×C4—21no—
972C2×C3×C4—21no—
973C2×C3×C4—21no—
974C2×C3×C4—21no—
975C2×C3×C4—21no—
976C2×C3×C4—21no—
977C2×C3×C4—21no—
978C2×C3×C4—21no—
979C2×C3×C4—21no—
980C2×C3×C4—21no—
981C2×C3×C4—21no—
982C2×C3×C4—21no—
983C2×C3×C4—21no—
984C2×C3×C4—21no—
985C2×C3×C4—21no—
986C2×C3×C4—21no—
987C2×C3×C4—21no—
988C2×C3×C4—21no—
989C2×C3×C4—21no—
990C2×C3×C4—21no—
991C2×C3×C4—21no—
992C2×C3×C4—21no—
993C2×C3×C4—21no—
994C2×C3×C4—44no—
995C2×C3×C4—44no—
996C2×C3×C4C22×D412yes—
997C2×C3×C4C22×D412yes—
998C2×C3×C4C2×#4112yes—
999C2×C3×C4C2×#4112yes—
1000C2×C3×C4C2×#4112yes—
1001#67—44no—
1002#67—44no—
1003#67—82no—
1004C2×Dic3—21no—
1005C2×Dic3—21no—
1006C2×Dic3—21no—
1007C2×Dic3—21no—
1008C2×Dic3—21no—
1009C2×Dic3—21no—
1010C2×Dic3—21no—
1011C2×Dic3—21no—
1012C2×Dic3—21no—
1013C2×Dic3—21no—
1014C2×Dic3—21no—
1015C2×Dic3—21no—
1016C2×Dic3—21no—
1017C2×Dic3—21no—
1018C2×Dic3—21no—
1019C2×Dic3—21no—
1020C2×Dic3—21no—
1021C2×Dic3—21no—
1022C2×Dic3—21no—
1023C2×Dic3—21no—
1024C2×Dic3—21no—
1025C2×Dic3—21no—
1026C2×Dic3—21no—
1027C2×Dic3—21no—
1028C2×Dic3—21no—
1029C2×Dic3—21no—
1030C2×Dic3—21no—
1031C2×Dic3—21no—
1032C2×Dic3—21no—
1033C2×Dic3—21no—
1034C2×Dic3—21no—
1035C2×Dic3—21no—
1036C2×Dic3—21no—
1037C2×Dic3—21no—
1038C2×Dic3—21no—
1039C2×Dic3—21no—
1040C2×Dic3—21no—
1041C2×Dic3—21no—
1042C2×Dic3—21no—
1043C2×Dic3—21no—
1044C2×Dic3—21no—
1045C2×Dic3—21no—
1046C2×Dic3—44no—
1047C2×Dic3—44no—
1048C2×Dic3—82no—
1049C2×Dic3—82no—
1050C2×Dic3—82no—
1051C2×Dic3C22×D412yes—
1052C2×Dic3C22×D412yes—
1053C2×Dic3C22×D412yes—
1054C4×D3—44no—
1055C4×D3—44no—
1056C4×D3—44no—
1057Dic6—44no—
1058Dic6—82no—
1059C24—31no—
1060C24C23×D311yescharacteristic
1061C24C23×D311yescharacteristic
1062C24C23×D311yescharacteristic
1063C2×Q8—22no—
1064C2×Q8—22no—
1065C2×Q8—34no—
1066C2×Q8—41no—
1067C2×Q8—62no—
1068C2×Q8—121no—
1069C2×Q8—121no—
1070C2×Q8—121no—
1071C2×Q8—121no—
1072C2×D4—22no—
1073C2×D4—22no—
1074C2×D4—22no—
1075C2×D4—22no—
1076C2×D4—22no—
1077C2×D4—34no—
1078C2×D4—41no—
1079C2×D4—41no—
1080C2×D4—41no—
1081C2×D4—41no—
1082C2×D4—62no—
1083C2×D4—62no—
1084C2×D4—62no—
1085C2×D4—121no—
1086C2×D4—121no—
1087C2×D4—121no—
1088C2×D4—121no—
1089C2×D4—121no—
1090C22×C4—22no—
1091C22×C4—22no—
1092C22×C4—22no—
1093C22×C4—22no—
1094C22×C4—31no—
1095C22×C4—31no—
1096C22×C4—31no—
1097C22×C4—31no—
1098C22×C4—31no—
1099C22×C4—31no—
1100C22×C4—31no—
1101C22×C4—31no—
1102C22×C4—31no—
1103C22×C4—31no—
1104C22×C4—31no—
1105C22×C4—31no—
1106C22×C4—31no—
1107C22×C4—31no—
1108C22×C4—31no—
1109C22×C4—41no—
1110C22×C4—41no—
1111C22×C4—62no—
1112C22×C4—62no—
1113C22×C4—62no—
1114C22×C4—62no—
1115C22×C4—62no—
1116C22×C4—62no—
1117C22×C4—62no—
1118C22×C4—62no—
1119C22×C4—62no—
1120C22×C4—62no—
1121C22×C4—121no—
1122C22×C4—121no—
1123C22×C4—121no—
1124C22×C4—121no—
1125C22×C4—121no—
1126C22×C4—121no—
1127C22×C4—121no—
1128C22×C4—121no—
1129C22×C4—121no—
1130C22×C4—121no—
1131C22×C4—121no—
1132C22×C4—121no—
1133C22×C4—121no—
1134C22×C4—121no—
1135C22×C4C23×D311yescharacteristic
1136C22×C4C23×D311yescharacteristic
1137C22×C4C23×D311yescharacteristic
1138C22×C4C23×D311yescharacteristic
1139C22×C4C23×D311yescharacteristic
1140C22×C4C23×D311yescharacteristic
1141C22×C4C23×D311yescharacteristic
1142C22×C4C23×D311yescharacteristic
1143C22×C4C23×D311yescharacteristic
1144C22×C4C23×D311yescharacteristic
1145C22×C4C23×D311yescharacteristic
1146C22×C4C23×D311yescharacteristic
1147C4⋊C4—22no—
1148C4⋊C4—22no—
1149C4⋊C4—22no—
1150C4⋊C4—22no—
1151C4⋊C4—41no—
1152C4⋊C4—41no—
1153C4⋊C4—62no—
1154C4⋊C4—62no—
1155C4⋊C4—62no—
1156C4⋊C4—62no—
1157C4⋊C4—62no—
1158C4⋊C4—62no—
1159C4⋊C4—62no—
1160C4⋊C4—62no—
1161C4⋊C4—62no—
1162C4⋊C4—62no—
1163C4⋊C4—62no—
1164C4⋊C4—62no—
1165C4⋊C4—62no—
1166C4⋊C4—62no—
1167C4⋊C4—62no—
1168C4⋊C4—62no—
1169C4⋊C4—62no—
1170C4⋊C4—62no—
1171C4⋊C4—62no—
1172C4⋊C4—62no—
1173C4⋊C4—62no—
1174C4⋊C4—62no—
1175C4⋊C4—121no—
1176C4⋊C4—121no—
1177C4⋊C4—121no—
1178C4⋊C4—121no—
1179C4⋊C4—121no—
1180C4⋊C4—121no—
1181C4⋊C4—121no—
1182C4⋊C4—121no—
1183C4⋊C4—121no—
1184C4⋊C4—121no—
1185C4⋊C4#23714yes—
1186C22⋊C4—22no—
1187C22⋊C4—22no—
1188C22⋊C4—22no—
1189C22⋊C4—22no—
1190C22⋊C4—22no—
1191C22⋊C4—22no—
1192C22⋊C4—22no—
1193C22⋊C4—22no—
1194C22⋊C4—22no—
1195C22⋊C4—22no—
1196C22⋊C4—34no—
1197C22⋊C4—34no—
1198C22⋊C4—34no—
1199C22⋊C4—41no—
1200C22⋊C4—41no—
1201C22⋊C4—62no—
1202C22⋊C4—62no—
1203C22⋊C4—62no—
1204C22⋊C4—62no—
1205C22⋊C4—62no—
1206C22⋊C4—62no—
1207C22⋊C4—62no—
1208C22⋊C4—62no—
1209C22⋊C4—62no—
1210C22⋊C4—62no—
1211C22⋊C4—121no—
1212C22⋊C4—121no—
1213C22⋊C4—121no—
1214C22⋊C4—121no—
1215C22⋊C4—121no—
1216C22⋊C4—121no—
1217C22⋊C4—121no—
1218C22⋊C4—121no—
1219C22⋊C4—121no—
1220C22⋊C4—121no—
1221C22⋊C4—121no—
1222C22⋊C4—121no—
1223C22⋊C4D3×D414yes—
1224C42—22no—
1225C42—22no—
1226C42—34no—
1227C42—41no—
1228C42—62no—
1229C42—62no—
1230C42—62no—
1231C42—62no—
1232C42—62no—
1233C42—62no—
1234C42—121no—
1235C42—121no—
1236C42—121no—
1237C22×C3—22no—
1238C22×C3—22no—
1239C22×C3—22no—
1240C22×C3—22no—
1241C22×C3—22no—
1242C22×C3—22no—
1243C22×C3—41no—
1244C22×C3—41no—
1245C22×C3—41no—
1246C22×C3—41no—
1247C22×C3—41no—
1248C22×C3—41no—
1249C22×C3—41no—
1250C22×C3—41no—
1251C22×C3—41no—
1252C22×C3—41no—
1253C22×C3—41no—
1254C22×C3—41no—
1255C22×C3—41no—
1256C22×C3—41no—
1257C22×C3—41no—
1258C22×C3C23×D411yescharacteristic
1259C22×C3C22×#4111yescharacteristic
1260C22×C3C2×2−1+411yescharacteristic
1261C22×C3#58511yescharacteristic
1262C22×C3#58511yescharacteristic
1263C22×C3#58511yescharacteristic
1264C22×C3#58511yescharacteristic
1265C2×D3—22no—
1266C2×D3—22no—
1267C2×D3—22no—
1268C2×D3—41no—
1269C2×D3—41no—
1270C2×D3—41no—
1271C2×D3—41no—
1272C3×C4—22no—
1273C3×C4—22no—
1274C3×C4—22no—
1275C3×C4—22no—
1276C3×C4—22no—
1277C3×C4—41no—
1278C3×C4—41no—
1279C3×C4—41no—
1280C3×C4—41no—
1281C3×C4—41no—
1282C3×C4—41no—
1283C3×C4—41no—
1284Dic3—22no—
1285Dic3—22no—
1286Dic3—22no—
1287Dic3—41no—
1288Dic3—41no—
1289Dic3—41no—
1290Dic3—41no—
1291Dic3—41no—
1292Dic3—41no—
1293Dic3—41no—
1294Dic3—41no—
1295Dic3—41no—
1296Dic3—41no—
1297Dic3—41no—
1298Dic3—41no—
1299C23—21no—
1300C23—21no—
1301C23—21no—
1302C23—21no—
1303C23—21no—
1304C23—21no—
1305C23—21no—
1306C23—21no—
1307C23—21no—
1308C23—21no—
1309C23—21no—
1310C23—21no—
1311C23—21no—
1312C23—21no—
1313C23—21no—
1314C23—21no—
1315C23—21no—
1316C23—21no—
1317C23—21no—
1318C23—32no—
1319C23—61no—
1320C23—61no—
1321C23—61no—
1322C23—61no—
1323C23—61no—
1324C23—61no—
1325C23C2×D3×D412yes—
1326C23#101012yes—
1327C23C24×D311yescharacteristic
1328Q8—44no—
1329Q8—124no—
1330Q8—242no—
1331D4—44no—
1332D4—44no—
1333D4—82no—
1334D4—124no—
1335D4—124no—
1336D4—242no—
1337C2×C4—21no—
1338C2×C4—21no—
1339C2×C4—21no—
1340C2×C4—21no—
1341C2×C4—21no—
1342C2×C4—21no—
1343C2×C4—21no—
1344C2×C4—21no—
1345C2×C4—21no—
1346C2×C4—21no—
1347C2×C4—21no—
1348C2×C4—21no—
1349C2×C4—21no—
1350C2×C4—21no—
1351C2×C4—21no—
1352C2×C4—21no—
1353C2×C4—21no—
1354C2×C4—21no—
1355C2×C4—21no—
1356C2×C4—21no—
1357C2×C4—21no—
1358C2×C4—21no—
1359C2×C4—21no—
1360C2×C4—21no—
1361C2×C4—21no—
1362C2×C4—21no—
1363C2×C4—21no—
1364C2×C4—21no—
1365C2×C4—21no—
1366C2×C4—21no—
1367C2×C4—21no—
1368C2×C4—32no—
1369C2×C4—32no—
1370C2×C4—32no—
1371C2×C4—44no—
1372C2×C4—44no—
1373C2×C4—61no—
1374C2×C4—61no—
1375C2×C4—61no—
1376C2×C4—61no—
1377C2×C4—61no—
1378C2×C4—61no—
1379C2×C4—61no—
1380C2×C4—61no—
1381C2×C4—61no—
1382C2×C4—61no—
1383C2×C4—61no—
1384C2×C4—61no—
1385C2×C4—61no—
1386C2×C4—61no—
1387C2×C4—61no—
1388C2×C4—61no—
1389C2×C4—61no—
1390C2×C4—61no—
1391C2×C4—61no—
1392C2×C4—61no—
1393C2×C4—61no—
1394C2×C4—61no—
1395C2×C4—61no—
1396C2×C4—61no—
1397C2×C4—61no—
1398C2×C4—61no—
1399C2×C4—61no—
1400C2×C4—61no—
1401C2×C4—61no—
1402C2×C4—61no—
1403C2×C4—61no—
1404C2×C4—61no—
1405C2×C4—61no—
1406C2×C4—61no—
1407C2×C4—61no—
1408C2×C4—61no—
1409C2×C4—61no—
1410C2×C4—61no—
1411C2×C4—61no—
1412C2×C4—61no—
1413C2×C4—61no—
1414C2×C4—61no—
1415C2×C4—124no—
1416C2×C4—124no—
1417C2×C4—124no—
1418C2×C4—124no—
1419C2×C4—124no—
1420C2×C4—242no—
1421C2×C4—242no—
1422C2×C4—242no—
1423C2×C4C2×D3×D412yes—
1424C2×C4C2×D3×D412yes—
1425C2×C4C2×#23712yes—
1426C2×C4C2×#23712yes—
1427C2×C4C2×#23712yes—
1428C2×C3—42no—
1429C2×C3—42no—
1430C2×C3—81no—
1431C2×C3#345511yescharacteristic
1432C2×C3D4×#4111yescharacteristic
1433C2×C3#348511yescharacteristic
1434C2×C3#348911yescharacteristic
1435C2×C3#351611yescharacteristic
1436C2×C3#356411yescharacteristic
1437C2×C3#356611yescharacteristic
1438D3—42no—
1439C22—22no—
1440C22—22no—
1441C22—22no—
1442C22—22no—
1443C22—22no—
1444C22—22no—
1445C22—41no—
1446C22—41no—
1447C22—41no—
1448C22—41no—
1449C22—41no—
1450C22—41no—
1451C22—41no—
1452C22—41no—
1453C22—41no—
1454C22—41no—
1455C22—41no—
1456C22—41no—
1457C22—41no—
1458C22—41no—
1459C22—41no—
1460C22—62no—
1461C22—62no—
1462C22—62no—
1463C22—121no—
1464C22—121no—
1465C22—121no—
1466C22—121no—
1467C22C22×D3×D411yescharacteristic
1468C22C22×#23711yescharacteristic
1469C22C2×#101011yescharacteristic
1470C22#596411yescharacteristic
1471C22#596411yescharacteristic
1472C22#596611yescharacteristic
1473C22#596811yescharacteristic
1474C4—22no—
1475C4—22no—
1476C4—22no—
1477C4—22no—
1478C4—22no—
1479C4—41no—
1480C4—41no—
1481C4—41no—
1482C4—41no—
1483C4—41no—
1484C4—41no—
1485C4—41no—
1486C4—62no—
1487C4—62no—
1488C4—62no—
1489C4—121no—
1490C4—121no—
1491C4—121no—
1492C4—121no—
1493C4—121no—
1494C4—121no—
1495C4—121no—
1496C4—121no—
1497C4—121no—
1498C4—121no—
1499C4—121no—
1500C4—121no—
1501C3#3773011yescharacteristic, complemented, Sylow
1502C2—42no—
1503C2—42no—
1504C2—81no—
1505C2—122no—
1506C2#8604211yescharacteristic
1507C2#8623611yescharacteristic
1508C2#8654511yescharacteristic
1509C2D4×#23711yescharacteristic
1510C2#8670011yescharacteristic
1511C2#8671811yescharacteristic
1512C2#8681111yescharacteristic
subgroupG/H
center, FrattiniC23C24×D3
commutator, socle, cosocleC23×C3C25
FittingC3×#2461C2
prime radical#76773C2
hypercenter#2461D3
hypocenterC3#37730
LCSG ▷ C23×C3 ▷ C3
UCSC1 ◁ C23 ◁ #2461

Complements

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

NH ≅ G/Ntype
1. C2×#5682C2semidirect
2. C2×#5538C2semidirect
3. C3×#2461C2semidirect
4. #82988C2semidirect
5. #82897C2semidirect
6. #82838C2semidirect
7. #82817C2semidirect
8. Dic3×C22⋊Q8C2semidirect
9. #82361C2semidirect
10. #77350C2semidirect
11. #77345C2semidirect
12. #77266C2semidirect
13. #77204C2semidirect
14. #77028C2semidirect
15. #76947C2semidirect
17. #76678C2semidirect
18. #76401C2semidirect
19. #76357C2semidirect
20. #75706C2semidirect
21. #75671C2semidirect
22. #75531C2semidirect
23. #75525C2semidirect
24. #75497C2semidirect
25. #75472C2semidirect
26. #74870C2semidirect
27. #74715C2semidirect
28. #74449C2semidirect
29. #74408C2semidirect
30. #73767C2semidirect
31. #73672C2semidirect
208. #2461D3semidirect
351. #885D4semidirect
1501. C3#37730semidirect

Maximal subgroups

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

subgroupindex
C2×#56822
C2×#55382
C3×#24612
#829882
#828972
#828382
#828172
Dic3×C22⋊Q82
#823612
#773502
#773452
#772662
#772042
#770282
#769472
#767732
#766782
#764012
#763572
#757062
#756712
#755312
#755252
#754972
#754722
#748702
#747152
#744492
#744082
#737672
#736722
#377303