Finite Group Databasebeta

← #11079851

Subgroups — #11079851

Order 768.

2094 conjugacy classes of subgroups.

The subgroup lattice has 1512 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#5702C211yesmaximal, characteristic, complemented
2C2×#5528C211yesmaximal, characteristic, complemented
3C3×#2601C211yesmaximal, characteristic, complemented
4#83120C211yesmaximal, characteristic, complemented
5#82258C211yesmaximal, characteristic, complemented
6#77855C211yesmaximal, characteristic, complemented
7#77850C211yesmaximal, characteristic, complemented
8#77427C211yesmaximal, characteristic, complemented
9#77426C211yesmaximal, characteristic, complemented
10#77363C211yesmaximal, characteristic, complemented
11#77361C211yesmaximal, characteristic, complemented
12#77035C211yesmaximal, characteristic, complemented
13#77017C211yesmaximal, characteristic, complemented
14#76356C211yesmaximal, characteristic
15#76332C211yesmaximal, characteristic, complemented
16#76237C211yesmaximal, characteristic, complemented
17#76227C211yesmaximal, characteristic, complemented
18#75887C211yesmaximal, characteristic, complemented
19#75875C211yesmaximal, characteristic, complemented
20#75865C211yesmaximal, characteristic, complemented
21#75829C211yesmaximal, characteristic, complemented
22#75649C211yesmaximal, characteristic, complemented
23#75522C211yesmaximal, characteristic, complemented
24#75379C211yesmaximal, characteristic, complemented
25#75090C211yesmaximal, characteristic, complemented
26#74903C211yesmaximal, characteristic, complemented
27#74784C211yesmaximal, characteristic, complemented
28#74615C211yesmaximal, characteristic, complemented
29#74386C211yesmaximal, characteristic, complemented
30#73766C211yesmaximal, characteristic, complemented
31C4×#897C211yesmaximal, characteristic, complemented
32#39851—31nomaximal, Sylow
33C2×C3×#126C2211yescharacteristic
34C2×C3×#117C2211yescharacteristic
35C2×C4×#67C2211yescharacteristic
36C2×C4×#67C2211yescharacteristic
37#5702—28no—
38#5528—28no—
39C2×#898C2211yescharacteristic
40C2×#898C2211yescharacteristic
41C2×#898C2211yescharacteristic
42C2×#897C2211yescharacteristic
43C2×#896C2211yescharacteristic
44C2×#896C2211yescharacteristic
45C2×#894C2211yescharacteristic
46C2×#889C2211yescharacteristic
47C2×#888C2211yescharacteristic
48C2×#887C2211yescharacteristic
49C2×#887C2211yescharacteristic
50C2×#885C2211yescharacteristic
51C2×#885C2211yescharacteristic
52C2×#885C2211yescharacteristic
53C2×#885C2211yescharacteristic
54C2×#884C2211yescharacteristic
55C2×#884C2211yescharacteristic
56C2×#883C2211yescharacteristic
57C2×#67⋊C4C2211yescharacteristic
58C2×#879C2211yescharacteristic
59C2×#879C2211yescharacteristic
60C2×#878C2211yescharacteristic
61C2×#877C2211yescharacteristic
62C2×C4×D12C2211yescharacteristic
63C2×#872C2211yescharacteristic
64C2×C42×D3C2211yescharacteristic
65C2×C4×Dic6C2211yescharacteristic
66C2×C4×Dic6C2211yescharacteristic
67C3×#398C2211yescharacteristic
68C3×#396C2211yescharacteristic
69C3×#396C2211yescharacteristic
70C3×#394C2211yescharacteristic
71C3×#390C2211yescharacteristic
72C3×#389C2211yescharacteristic
73C3×#388C2211yescharacteristic
74C3×#388C2211yescharacteristic
75C3×#388C2211yescharacteristic
76C3×#387C2211yescharacteristic
77C3×#386C2211yescharacteristic
78C3×#385C2211yescharacteristic
79C3×C4×C4⋊C4C2211yescharacteristic
80#5223C2211yescharacteristic
81#5223C2211yescharacteristic
82#5222C2211yescharacteristic
83#5220C2211yescharacteristic
84#5210C2211yescharacteristic
85#5210C2211yescharacteristic
86#4991C2211yescharacteristic
87#4990C2211yescharacteristic
88#4990C2211yescharacteristic
89#4989C2211yescharacteristic
90#4989C2211yescharacteristic
91#4989C2211yescharacteristic
92#4989C2211yescharacteristic
93#4989C2211yescharacteristic
94#4987C2211yescharacteristic
95#4987C2211yescharacteristic
96#4987C2211yescharacteristic
97#4984C2211yescharacteristic
98#4984C2211yescharacteristic
99#4982C2211yescharacteristic
100#4981C2211yescharacteristic
101#4979C2211yescharacteristic
102#4979C2211yescharacteristic
103#4979C2211yescharacteristic
104#4979C2211yescharacteristic
105#4978C2211yescharacteristic
106#4978C2211yescharacteristic
107#4978C2211yescharacteristic
108#4978C2211yescharacteristic
109#4978C2211yescharacteristic
110#4978C2211yescharacteristic
111#4978C2211yescharacteristic
112#4976C2211yescharacteristic
113#4975C2211yescharacteristic
114#4973C2211yescharacteristic
115#4961C2211yescharacteristic
116#4961C2211yescharacteristic
117#4959C2211yescharacteristic
118#4959C2211yescharacteristic
119#4958C2211yescharacteristic
120#4957C2211yescharacteristic
121#4956C2211yescharacteristic
122#4956C2211yescharacteristic
123#4956C2211yescharacteristic
124#4956C2211yescharacteristic
125#4956C2211yescharacteristic
126#4956C2211yescharacteristic
127#4953C2211yescharacteristic
128#4951C2211yescharacteristic
129#4951C2211yescharacteristic
130#4951C2211yescharacteristic
131#4950C2211yescharacteristic
132#4949C2211yescharacteristic
133#4949C2211yescharacteristic
134#4949C2211yescharacteristic
135#4948C2211yescharacteristic
136#4947C2211yescharacteristic
137#4947C2211yescharacteristic
138#4947C2211yescharacteristic
139#4946C2211yescharacteristic
140#4945C2211yescharacteristic
141#4944C2211yescharacteristic
142#4944C2211yescharacteristic
143#4944C2211yescharacteristic
144#4944C2211yescharacteristic
145#4944C2211yescharacteristic
146#4944C2211yescharacteristic
147C4×(C2×D3)⋊C4C2211yescharacteristic
148C4×(C2×D3)⋊C4C2211yescharacteristic
149C4×(C2×D3)⋊C4C2211yescharacteristic
150C4×(C2×D3)⋊C4C2211yescharacteristic
151#4937C2211yescharacteristic
152C4×C4⋊Dic3C2211yescharacteristic
153C4×C4⋊Dic3C2211yescharacteristic
154#4933C2211yescharacteristic
155#4933C2211yescharacteristic
156#4933C2211yescharacteristic
157#4933C2211yescharacteristic
158#4676C2211yescharacteristic
159#4675C2211yescharacteristic
160#4675C2211yescharacteristic
161#4675C2211yescharacteristic
162#4674C2211yescharacteristic
163#4673C2211yescharacteristic
164#4672C2211yescharacteristic
165#4669C2211yescharacteristic
166#4668C2211yescharacteristic
167#4668C2211yescharacteristic
168#4667C2211yescharacteristic
169#4665C2211yescharacteristic
170#4664C2211yescharacteristic
171D3×#95C2211yescharacteristic
172#4660C2211yescharacteristic
173#4660C2211yescharacteristic
174#4658C2211yescharacteristic
175#4658C2211yescharacteristic
176#4658C2211yescharacteristic
177#4656C2211yescharacteristic
178#4656C2211yescharacteristic
179#4655C2211yescharacteristic
180#4653C2211yescharacteristic
181#4653C2211yescharacteristic
182#4652C2211yescharacteristic
183#4650C2211yescharacteristic
184#4648C2211yescharacteristic
185#4647C2211yescharacteristic
186#4647C2211yescharacteristic
187#4646C2211yescharacteristic
188#4646C2211yescharacteristic
189#4646C2211yescharacteristic
190C2×#556—31no—
191C2×#529—31no—
192#2852—31no—
193#2720—31no—
194#2715—31no—
195#2713—31no—
196#2712—31no—
197#2696—31no—
198#2695—31no—
199#2674—31no—
200#2672—31no—
201#2638—31no—
202#2636—31no—
203#2604—31no—
204#2601D311yescharacteristic, complemented
205#2600—31no—
206#2599—31no—
207#2581—31no—
208#2564—31no—
209#2559—31no—
210#2555—31no—
211#2521—31no—
212#2496—31no—
213#2479—31no—
214#2477—31no—
215#2469—31no—
216#2465—31no—
217#2343—31no—
218#2326—31no—
219#2325—31no—
220C4×C22⋊Q8—31no—
221C22×C3×D4C2311yescharacteristic
222C23×C3×C4C2311yescharacteristic
223C22×#67C2311yescharacteristic
224C22×#67C2311yescharacteristic
225C22×#67C2311yescharacteristic
226C22×#67C2311yescharacteristic
227C23×Dic3C2311yescharacteristic
228C22×D12C2311yescharacteristic
229C22×C4×D3C2311yescharacteristic
230C22×C4×D3C2311yescharacteristic
231C22×C4×D3C2311yescharacteristic
232C22×C4×D3C2311yescharacteristic
233C22×C4×D3C2311yescharacteristic
234C22×C4×D3C2311yescharacteristic
235C22×Dic6C2311yescharacteristic
236C22×Dic6C2311yescharacteristic
237C22×Dic6C2311yescharacteristic
238C22×Dic6C2311yescharacteristic
239C3×#126—24no—
240C3×#117—24no—
241C2×C3×C4⋊C4C2311yescharacteristic
242C2×C3×C4⋊C4C2311yescharacteristic
243C2×C3×C4⋊C4C2311yescharacteristic
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×C42C2311yescharacteristic
263C2×C3×C42C2311yescharacteristic
264C2×C3×C42C2311yescharacteristic
265C2×C3×C42C2311yescharacteristic
266C2×#217C2311yescharacteristic
267C2×#217C2311yescharacteristic
268C2×#217C2311yescharacteristic
269C2×#217C2311yescharacteristic
270C2×#217C2311yescharacteristic
271C2×#217C2311yescharacteristic
272C2×#217C2311yescharacteristic
273C2×#217C2311yescharacteristic
274C2×#217C2311yescharacteristic
275C2×#217C2311yescharacteristic
276C2×#217C2311yescharacteristic
277C4×#67—24no—
278C4×#67—24no—
279C2×(C2×D3)⋊C4C2311yescharacteristic
280C2×(C2×D3)⋊C4C2311yescharacteristic
281C2×(C2×D3)⋊C4C2311yescharacteristic
282C2×(C2×D3)⋊C4C2311yescharacteristic
283C2×(C2×D3)⋊C4C2311yescharacteristic
284C2×(C2×D3)⋊C4C2311yescharacteristic
285C2×(C2×D3)⋊C4C2311yescharacteristic
286C2×(C2×D3)⋊C4C2311yescharacteristic
287C2×(C2×D3)⋊C4C2311yescharacteristic
288C2×(C2×D3)⋊C4C2311yescharacteristic
289C2×(C2×D3)⋊C4C2311yescharacteristic
290C2×(C2×D3)⋊C4C2311yescharacteristic
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×C4⋊Dic3C2311yescharacteristic
298C2×C4⋊Dic3C2311yescharacteristic
299C2×C4⋊Dic3C2311yescharacteristic
300C2×C4⋊Dic3C2311yescharacteristic
301C2×C4⋊Dic3C2311yescharacteristic
302C2×C4⋊Dic3C2311yescharacteristic
303C2×C4⋊Dic3C2311yescharacteristic
304C2×C4⋊Dic3C2311yescharacteristic
305C2×Dic3⋊C4C2311yescharacteristic
306C2×Dic3⋊C4C2311yescharacteristic
307C2×Dic3⋊C4C2311yescharacteristic
308C2×Dic3⋊C4C2311yescharacteristic
309C2×Dic3⋊C4C2311yescharacteristic
310C2×Dic3⋊C4C2311yescharacteristic
311C2×Dic3⋊C4C2311yescharacteristic
312C2×Dic3⋊C4C2311yescharacteristic
313C2×Dic3⋊C4C2311yescharacteristic
314C2×Dic3⋊C4C2311yescharacteristic
315C2×Dic3⋊C4C2311yescharacteristic
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×C4×Dic3C2311yescharacteristic
326C2×C4×Dic3C2311yescharacteristic
327C2×C4×Dic3C2311yescharacteristic
328C2×C4×Dic3C2311yescharacteristic
329C2×C4×Dic3C2311yescharacteristic
330C2×C4×Dic3C2311yescharacteristic
331C2×C4×Dic3C2311yescharacteristic
332C2×C4×Dic3C2311yescharacteristic
333C2×C4×Dic3C2311yescharacteristic
334C2×C4×Dic3C2311yescharacteristic
335C2×C4×Dic3C2311yescharacteristic
336#898—24no—
337#898—24no—
338#898—24no—
339#897—24no—
340#896—24no—
341#896—24no—
342#894—24no—
343#889—24no—
344#888—24no—
345#887—24no—
346#887—24no—
347#885—24no—
348#885—24no—
349#885—24no—
350#885—24no—
351#884—24no—
352#884—24no—
353#883—24no—
354#67⋊C4—24no—
355#879—24no—
356#879—24no—
357#878—24no—
358#877—24no—
359C4×D12—24no—
360#872D418yescomplemented
361C42×D3—24no—
362C4×Dic6—24no—
363C4×Dic6—24no—
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#556—68no—
409C2×C4⋊Q8—31no—
410#529—68no—
411C2×#126—31no—
412C2×#126—31no—
413C2×#126—31no—
414C2×#126—31no—
415C2×#126—31no—
416C2×#126C2×D311yescharacteristic
417C2×#125—31no—
418C2×#124—31no—
419C2×#124—31no—
420C2×#124—31no—
421C2×#124—31no—
422C2×#123—31no—
423C2×#123—31no—
424C2×C22⋊Q8—31no—
425C2×C22⋊Q8—31no—
426C2×C22⋊Q8—31no—
427C2×C22⋊Q8—31no—
428C2×#121—31no—
429C2×#121—31no—
430C2×C4×Q8—31no—
431C2×C4×Q8—31no—
432C2×C4×Q8—31no—
433C2×C4×Q8—31no—
434C2×C4×D4—31no—
435C2×C4×D4—31no—
436C2×C4×D4—31no—
437C2×C4×D4—31no—
438C2×#117—31no—
439C2×#117—31no—
440C2×#117C2×D311yescharacteristic
441C22×C42—31no—
442#400—31no—
443#400—31no—
444#400—31no—
445#400—31no—
446#400—31no—
447#399—31no—
448#399—31no—
449#399—31no—
450#398—31no—
451#398—31no—
452#398C2×D311yescharacteristic
453#397—31no—
454#397—31no—
455#397—31no—
456#397—31no—
457#397—31no—
458#396—31no—
459#396—31no—
460#396C2×D311yescharacteristic
461#396C2×D311yescharacteristic
462#395—31no—
463#395—31no—
464#395—31no—
465#395—31no—
466#395—31no—
467#395—31no—
468#394—31no—
469#394—31no—
470#394—31no—
471#394—31no—
472#394—31no—
473#394—31no—
474#394—31no—
475#394C2×D311yescharacteristic
476#393—31no—
477#393—31no—
478#393—31no—
479#393—31no—
480#392—31no—
481#392—31no—
482#391—31no—
483#391—31no—
484#391—31no—
485#391—31no—
486#390—31no—
487#390C2×D311yescharacteristic
488#389—31no—
489#389—31no—
490#389—31no—
491#389—31no—
492#389—31no—
493#389C2×D311yescharacteristic
494#388—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#388—31no—
505#388—31no—
506#388—31no—
507#388C2×D311yescharacteristic
508#388C2×D311yescharacteristic
509#388C2×D311yescharacteristic
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#387—31no—
521#387—31no—
522#387—31no—
523#387—31no—
524#387—31no—
525#387C2×D311yescharacteristic
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#386C2×D311yescharacteristic
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#385C2×D311yescharacteristic
548#384—31no—
549#383—31no—
550#382—31no—
551#381—31no—
552#380—31no—
553#380—31no—
554#380—31no—
555#380—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—
563#376—31no—
564C2×#95—31no—
565C24×C3C2411yescharacteristic
566C24×C3C2411yescharacteristic
567C23×D3C2411yescharacteristic
568C23×D3C2411yescharacteristic
569C2×C3×D4—41no—
570C2×C3×D4—41no—
571C2×C3×D4—41no—
572C22×C3×C4—22no—
573C22×C3×C4—41no—
574C22×C3×C4—41no—
575C22×C3×C4C2411yescharacteristic
576C22×C3×C4C2411yescharacteristic
577C22×C3×C4C2411yescharacteristic
578C22×C3×C4C2411yescharacteristic
579C22×C3×C4C2411yescharacteristic
580C22×C3×C4C2411yescharacteristic
581C22×C3×C4C2411yescharacteristic
582C22×C3×C4C2411yescharacteristic
583C22×C3×C4C2411yescharacteristic
584C22×C3×C4C2411yescharacteristic
585C22×C3×C4C2411yescharacteristic
586C22×C3×C4C2411yescharacteristic
587C22×C3×C4C2411yescharacteristic
588C2×#67—22no—
589C2×#67—22no—
590C2×#67—22no—
591C2×#67—22no—
592C2×#67—22no—
593C2×#67—22no—
594C2×#67—22no—
595C2×#67—41no—
596C2×#67—41no—
597C2×#67—41no—
598C2×#67—41no—
599C2×#67—41no—
600C22×Dic3—22no—
601C22×Dic3—41no—
602C22×Dic3—41no—
603C22×Dic3C2411yescharacteristic
604C22×Dic3C2411yescharacteristic
605C22×Dic3C2411yescharacteristic
606C22×Dic3C2411yescharacteristic
607C22×Dic3C2411yescharacteristic
608C22×Dic3C2411yescharacteristic
609C22×Dic3C2411yescharacteristic
610C22×Dic3C2411yescharacteristic
611C22×Dic3C2411yescharacteristic
612C22×Dic3C2411yescharacteristic
613C22×Dic3C2411yescharacteristic
614C22×Dic3C2411yescharacteristic
615C22×Dic3C2411yescharacteristic
616C22×Dic3C2411yescharacteristic
617C2×D12—22no—
618C2×D12—22no—
619C2×D12—41no—
620C2×C4×D3—22no—
621C2×C4×D3—22no—
622C2×C4×D3—22no—
623C2×C4×D3—22no—
624C2×C4×D3—22no—
625C2×C4×D3—22no—
626C2×C4×D3—41no—
627C2×C4×D3—41no—
628C2×C4×D3—41no—
629C2×C4×D3—41no—
630C2×C4×D3—41no—
631C2×C4×D3—41no—
632C2×C4×D3—41no—
633C2×C4×D3—41no—
634C2×C4×D3—41no—
635C2×C4×D3—41no—
636C2×C4×D3—41no—
637C2×C4×D3C2×D414yes—
638C2×Dic6—22no—
639C2×Dic6—22no—
640C2×Dic6—22no—
641C2×Dic6—22no—
642C2×Dic6—22no—
643C2×Dic6—22no—
644C2×Dic6—22no—
645C2×Dic6—41no—
646C2×Dic6—41no—
647C2×Dic6—41no—
648C2×Dic6—41no—
649C2×Dic6—41no—
650C3×C4⋊C4—22no—
651C3×C4⋊C4—22no—
652C3×C4⋊C4—22no—
653C3×C4⋊C4—22no—
654C3×C4⋊C4—22no—
655C3×C4⋊C4—22no—
656C3×C4⋊C4—41no—
657C3×C4⋊C4—41no—
658C3×C4⋊C4—41no—
659C3×C4⋊C4—41no—
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—41no—
668C3×C22⋊C4—41no—
669C3×C22⋊C4—41no—
670C3×C22⋊C4—41no—
671C3×C42—22no—
672C3×C42—41no—
673C3×C42—41no—
674C3×C42C2×D414yes—
675#217—22no—
676#217—22no—
677#217—22no—
678#217—22no—
679#217—22no—
680#217—22no—
681#217—41no—
682#217—41no—
683#217—41no—
684#217—41no—
685#217—41no—
686(C2×D3)⋊C4—22no—
687(C2×D3)⋊C4—22no—
688(C2×D3)⋊C4—22no—
689(C2×D3)⋊C4—22no—
690(C2×D3)⋊C4—22no—
691(C2×D3)⋊C4—22no—
692(C2×D3)⋊C4—22no—
693(C2×D3)⋊C4—22no—
694(C2×D3)⋊C4—22no—
695(C2×D3)⋊C4—41no—
696(C2×D3)⋊C4—41no—
697(C2×D3)⋊C4—41no—
698(C2×D3)⋊C4—41no—
699(C2×D3)⋊C4—41no—
700(C2×D3)⋊C4—41no—
701(C2×D3)⋊C4C2×D414yes—
702(C2×D3)⋊C4C2×D414yes—
703(C2×D3)⋊C4#4114yes—
704C4⋊Dic3—22no—
705C4⋊Dic3—22no—
706C4⋊Dic3—22no—
707C4⋊Dic3—22no—
708C4⋊Dic3—22no—
709C4⋊Dic3—22no—
710C4⋊Dic3—41no—
711C4⋊Dic3—41no—
712Dic3⋊C4—22no—
713Dic3⋊C4—22no—
714Dic3⋊C4—22no—
715Dic3⋊C4—22no—
716Dic3⋊C4—22no—
717Dic3⋊C4—22no—
718Dic3⋊C4—22no—
719Dic3⋊C4—22no—
720Dic3⋊C4—22no—
721Dic3⋊C4—22no—
722Dic3⋊C4—22no—
723Dic3⋊C4—41no—
724Dic3⋊C4—41no—
725Dic3⋊C4—41no—
726Dic3⋊C4—41no—
727Dic3⋊C4—41no—
728Dic3⋊C4—41no—
729Dic3⋊C4—41no—
730Dic3⋊C4C2×D414yes—
731Dic3⋊C4C2×D414yes—
732C4×Dic3—22no—
733C4×Dic3—22no—
734C4×Dic3—22no—
735C4×Dic3—22no—
736C4×Dic3—22no—
737C4×Dic3—22no—
738C4×Dic3—22no—
739C4×Dic3—22no—
740C4×Dic3—22no—
741C4×Dic3—41no—
742C4×Dic3C2×D414yes—
743C22×Q8—31no—
744C22×Q8—31no—
745C22×Q8—31no—
746C22×Q8—31no—
747C22×D4—31no—
748C22×D4—31no—
749C22×D4—31no—
750C22×D4—31no—
751C22×D4—31no—
752C22×D4C22×D311yescharacteristic
753C23×C4—31no—
754C23×C4—31no—
755C23×C4—31no—
756C23×C4—31no—
757C23×C4—31no—
758C23×C4—31no—
759C23×C4—31no—
760C23×C4C22×D311yescharacteristic
761C4⋊Q8—64no—
762#126—24no—
763#126—64no—
764#126—64no—
765#126—64no—
766#126—64no—
767#126—64no—
768#125—64no—
769#124—64no—
770#124—64no—
771#124—64no—
772#124—64no—
773#123—64no—
774#123—64no—
775C22⋊Q8—64no—
776C22⋊Q8—64no—
777C22⋊Q8—64no—
778C22⋊Q8—64no—
779#121—64no—
780#121—64no—
781C4×Q8—64no—
782C4×Q8—64no—
783C4×Q8—64no—
784C4×Q8—64no—
785C4×D4—64no—
786C4×D4—64no—
787C4×D4—64no—
788C4×D4—64no—
789#117—24no—
790#117—38no—
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⋊C4C22×D311yescharacteristic
821C2×C4⋊C4C22×D311yescharacteristic
822C2×C4⋊C4C22×D311yescharacteristic
823C2×C4⋊C4C22×D311yescharacteristic
824C2×C4⋊C4C22×D311yescharacteristic
825C2×C4⋊C4C22×D311yescharacteristic
826C2×C4⋊C4C22×D311yescharacteristic
827C2×C4⋊C4C22×D311yescharacteristic
828C2×C4⋊C4C22×D311yescharacteristic
829C2×C4⋊C4C22×D311yescharacteristic
830C2×C22⋊C4—31no—
831C2×C22⋊C4—31no—
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⋊C4—31no—
858C2×C22⋊C4—31no—
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—31no—
881C2×C42—64no—
882C2×C42C22×D311yescharacteristic
883C2×C42C22×D311yescharacteristic
884C2×C42C22×D311yescharacteristic
885C2×C42C22×D311yescharacteristic
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#95C22×D311yescharacteristic
923#95C22×D311yescharacteristic
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×C3C2511yescharacteristic
945C22×D3—21no—
946C22×D3—21no—
947C22×D3—21no—
948C22×D3—21no—
949C22×D3—21no—
950C22×D3—21no—
951C22×D3—21no—
952C22×D3—21no—
953C22×D3—21no—
954C22×D3—21no—
955C22×D3—21no—
956C22×D3—21no—
957C22×D3C22×D412yes—
958C22×D3C2×#4112yes—
959C3×D4—82no—
960C2×C3×C4—21no—
961C2×C3×C4—21no—
962C2×C3×C4—21no—
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—21no—
995C2×C3×C4—44no—
996C2×C3×C4C22×D412yes—
997C2×C3×C4C22×D412yes—
998C2×C3×C4C22×D412yes—
999C2×C3×C4C2×#4112yes—
1000#67—44no—
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—44no—
1042C2×Dic3C22×D412yes—
1043C2×Dic3C22×D412yes—
1044C2×Dic3C22×D412yes—
1045C2×Dic3C2×#4112yes—
1046C2×Dic32−1+412yes—
1047D12—44no—
1048C4×D3—44no—
1049C4×D3—44no—
1050C4×D3—44no—
1051C4×D3—44no—
1052C4×D3—82no—
1053C4×D3—82no—
1054Dic6—44no—
1055Dic6—44no—
1056Dic6—44no—
1057Dic6—44no—
1058C24—31no—
1059C24—31no—
1060C24C23×D311yescharacteristic
1061C24C23×D311yescharacteristic
1062C2×Q8—62no—
1063C2×Q8—62no—
1064C2×Q8—62no—
1065C2×Q8—62no—
1066C2×Q8—62no—
1067C2×Q8—62no—
1068C2×Q8—62no—
1069C2×Q8—121no—
1070C2×Q8—121no—
1071C2×Q8—121no—
1072C2×Q8—121no—
1073C2×Q8—121no—
1074C2×D4—41no—
1075C2×D4—41no—
1076C2×D4—41no—
1077C2×D4—62no—
1078C2×D4—62no—
1079C2×D4—62no—
1080C2×D4—62no—
1081C2×D4—62no—
1082C2×D4—62no—
1083C2×D4—62no—
1084C2×D4—62no—
1085C2×D4—62no—
1086C2×D4—121no—
1087C2×D4—121no—
1088C2×D4—121no—
1089C2×D4—121no—
1090C2×D4—121no—
1091C2×D4—121no—
1092C22×C4—22no—
1093C22×C4—31no—
1094C22×C4—31no—
1095C22×C4—31no—
1096C22×C4—31no—
1097C22×C4—31no—
1098C22×C4—34no—
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—41no—
1109C22×C4—41no—
1110C22×C4—62no—
1111C22×C4—62no—
1112C22×C4—62no—
1113C22×C4—62no—
1114C22×C4—62no—
1115C22×C4—62no—
1116C22×C4—62no—
1117C22×C4—121no—
1118C22×C4—121no—
1119C22×C4—121no—
1120C22×C4—121no—
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×C4C23×D311yescharacteristic
1131C22×C4C23×D311yescharacteristic
1132C22×C4C23×D311yescharacteristic
1133C22×C4C23×D311yescharacteristic
1134C22×C4C23×D311yescharacteristic
1135C22×C4C23×D311yescharacteristic
1136C22×C4C23×D311yescharacteristic
1137C22×C4C23×D311yescharacteristic
1138C22×C4C23×D311yescharacteristic
1139C22×C4C23×D311yescharacteristic
1140C22×C4C23×D311yescharacteristic
1141C22×C4C23×D311yescharacteristic
1142C22×C4C23×D311yescharacteristic
1143C4⋊C4—22no—
1144C4⋊C4—22no—
1145C4⋊C4—22no—
1146C4⋊C4—22no—
1147C4⋊C4—22no—
1148C4⋊C4—22no—
1149C4⋊C4—34no—
1150C4⋊C4—34no—
1151C4⋊C4—41no—
1152C4⋊C4—41no—
1153C4⋊C4—41no—
1154C4⋊C4—41no—
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—121no—
1173C4⋊C4—121no—
1174C4⋊C4—121no—
1175C4⋊C4—121no—
1176C4⋊C4—121no—
1177C4⋊C4—121no—
1178C4⋊C4—121no—
1179C4⋊C4—121no—
1180C4⋊C4—121no—
1181C22⋊C4—22no—
1182C22⋊C4—22no—
1183C22⋊C4—22no—
1184C22⋊C4—22no—
1185C22⋊C4—22no—
1186C22⋊C4—22no—
1187C22⋊C4—22no—
1188C22⋊C4—34no—
1189C22⋊C4—34no—
1190C22⋊C4—34no—
1191C22⋊C4—41no—
1192C22⋊C4—41no—
1193C22⋊C4—41no—
1194C22⋊C4—41no—
1195C22⋊C4—62no—
1196C22⋊C4—62no—
1197C22⋊C4—62no—
1198C22⋊C4—62no—
1199C22⋊C4—62no—
1200C22⋊C4—62no—
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—121no—
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—
1221C42—22no—
1222C42—34no—
1223C42—41no—
1224C42—41no—
1225C42—62no—
1226C42—62no—
1227C42—62no—
1228C42—62no—
1229C42—62no—
1230C42—62no—
1231C42—62no—
1232C42—62no—
1233C42—62no—
1234C42—121no—
1235C42D3×D414yes—
1236C22×C3—41no—
1237C22×C3—41no—
1238C22×C3—41no—
1239C22×C3—41no—
1240C22×C3—41no—
1241C22×C3—41no—
1242C22×C3—41no—
1243C22×C3—41no—
1244C22×C3—41no—
1245C22×C3—41no—
1246C22×C3—41no—
1247C22×C3—41no—
1248C22×C3—41no—
1249C22×C3—41no—
1250C22×C3C23×D411yescharacteristic
1251C22×C3C22×#4111yescharacteristic
1252C22×C3C2×2−1+411yescharacteristic
1253C22×C3#58511yescharacteristic
1254C22×C3#58511yescharacteristic
1255C22×C3#58511yescharacteristic
1256C22×C3#58511yescharacteristic
1257C2×D3—22no—
1258C2×D3—22no—
1259C2×D3—22no—
1260C2×D3—22no—
1261C2×D3—22no—
1262C2×D3—22no—
1263C2×D3—41no—
1264C2×D3—41no—
1265C2×D3—41no—
1266C2×D3—41no—
1267C2×D3—41no—
1268C2×D3—41no—
1269C2×D3—41no—
1270C2×D3—41no—
1271C3×C4—22no—
1272C3×C4—22no—
1273C3×C4—22no—
1274C3×C4—22no—
1275C3×C4—41no—
1276C3×C4—41no—
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—22no—
1288Dic3—22no—
1289Dic3—41no—
1290Dic3—41no—
1291Dic3—41no—
1292Dic3—41no—
1293Dic3—41no—
1294Dic3—41no—
1295Dic3—41no—
1296Dic3—41no—
1297Dic3—41no—
1298C23—21no—
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—32no—
1313C23—32no—
1314C23—61no—
1315C23—61no—
1316C23—61no—
1317C23—61no—
1318C23—61no—
1319C23—61no—
1320C23—61no—
1321C23—61no—
1322C23—61no—
1323C23—61no—
1324C23—61no—
1325C23—61no—
1326C23C24×D311yescharacteristic
1327Q8—124no—
1328Q8—124no—
1329Q8—124no—
1330Q8—124no—
1331D4—82no—
1332D4—124no—
1333D4—124no—
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—21no—
1369C2×C4—21no—
1370C2×C4—21no—
1371C2×C4—21no—
1372C2×C4—32no—
1373C2×C4—32no—
1374C2×C4—32no—
1375C2×C4—32no—
1376C2×C4—32no—
1377C2×C4—44no—
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×C4C2×D3×D412yes—
1423C2×C4C2×D3×D412yes—
1424C2×C4C2×D3×D412yes—
1425C2×C4D3×#4112yes—
1426C2×C3—81no—
1427C2×C3—81no—
1428C2×C3#344911yescharacteristic
1429C2×C3D4×#4111yescharacteristic
1430C2×C3#348911yescharacteristic
1431C2×C3#350711yescharacteristic
1432C2×C3#352111yescharacteristic
1433C2×C3#356511yescharacteristic
1434C2×C3#356811yescharacteristic
1435D3—42no—
1436D3—42no—
1437C22—41no—
1438C22—41no—
1439C22—41no—
1440C22—41no—
1441C22—41no—
1442C22—41no—
1443C22—41no—
1444C22—41no—
1445C22—41no—
1446C22—41no—
1447C22—41no—
1448C22—41no—
1449C22—41no—
1450C22—41no—
1451C22—62no—
1452C22—62no—
1453C22—62no—
1454C22—62no—
1455C22—62no—
1456C22—62no—
1457C22—121no—
1458C22—121no—
1459C22—121no—
1460C22—121no—
1461C22—121no—
1462C22—121no—
1463C22—121no—
1464C22—121no—
1465C22C22×D3×D411yescharacteristic
1466C22C2×D3×#4111yescharacteristic
1467C22#596411yescharacteristic
1468C22#596411yescharacteristic
1469C22#596411yescharacteristic
1470C22#596611yescharacteristic
1471C22D3×2−1+411yescharacteristic
1472C4—22no—
1473C4—22no—
1474C4—22no—
1475C4—22no—
1476C4—41no—
1477C4—41no—
1478C4—41no—
1479C4—41no—
1480C4—41no—
1481C4—41no—
1482C4—41no—
1483C4—41no—
1484C4—41no—
1485C4—62no—
1486C4—62no—
1487C4—62no—
1488C4—62no—
1489C4—62no—
1490C4—121no—
1491C4—121no—
1492C4—121no—
1493C4—121no—
1494C4—121no—
1495C4—121no—
1496C4—121no—
1497C4—121no—
1498C4—121no—
1499C3#3985111yescharacteristic, complemented, Sylow
1500C2—81no—
1501C2—81no—
1502C2—122no—
1503C2—122no—
1504C2#8603511yescharacteristic
1505C2#8623811yescharacteristic
1506C2#8638011yescharacteristic
1507C2#8681311yescharacteristic
1508C2#8686311yescharacteristic
1509C2#8688911yescharacteristic
1510C2#8700111yescharacteristic
subgroupG/H
center, FrattiniC23C24×D3
commutator, socle, cosocleC23×C3C25
FittingC3×#2601C2
prime radical#76356C2
hypercenter#2601D3
hypocenterC3#39851
LCSG ▷ C23×C3 ▷ C3
UCSC1 ◁ C23 ◁ #2601

Complements

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

NH ≅ G/Ntype
1. C2×#5702C2semidirect
2. C2×#5528C2semidirect
3. C3×#2601C2semidirect
4. #83120C2semidirect
5. #82258C2semidirect
6. #77855C2semidirect
7. #77850C2semidirect
8. #77427C2semidirect
9. #77426C2semidirect
10. #77363C2semidirect
11. #77361C2semidirect
12. #77035C2semidirect
13. #77017C2semidirect
15. #76332C2semidirect
16. #76237C2semidirect
17. #76227C2semidirect
18. #75887C2semidirect
19. #75875C2semidirect
20. #75865C2semidirect
21. #75829C2semidirect
22. #75649C2semidirect
23. #75522C2semidirect
24. #75379C2semidirect
25. #75090C2semidirect
26. #74903C2semidirect
27. #74784C2semidirect
28. #74615C2semidirect
29. #74386C2semidirect
30. #73766C2semidirect
31. C4×#897C2semidirect
204. #2601D3semidirect
360. #872D4semidirect
1499. C3#39851semidirect

Maximal subgroups

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

subgroupindex
C2×#57022
C2×#55282
C3×#26012
#831202
#822582
#778552
#778502
#774272
#774262
#773632
#773612
#770352
#770172
#763562
#763322
#762372
#762272
#758872
#758752
#758652
#758292
#756492
#755222
#753792
#750902
#749032
#747842
#746152
#743862
#737662
C4×#8972
#398513