Finite Group Databasebeta

← #11028846

Subgroups — #11028846

Order 768.

2410 conjugacy classes of subgroups.

The subgroup lattice has 1604 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#5708C211yesmaximal, characteristic, complemented
2C2×#5586C211yesmaximal, characteristic
3C3×#2685C211yesmaximal, characteristic, complemented
4#83091C211yesmaximal, characteristic, complemented
5#82599C211yesmaximal, characteristic, complemented
6#78039C211yesmaximal, characteristic, complemented
7#78029C211yesmaximal, characteristic, complemented
8#77332C211yesmaximal, characteristic, complemented
9#77299C211yesmaximal, characteristic, complemented
10#77021C211yesmaximal, characteristic, complemented
11#77020C211yesmaximal, characteristic, complemented
12#76970C211yesmaximal, characteristic, complemented
13#76955C211yesmaximal, characteristic, complemented
14#76950C211yesmaximal, characteristic, complemented
15#76933C211yesmaximal, characteristic, complemented
16#76929C211yesmaximal, characteristic, complemented
17#76897C211yesmaximal, characteristic, complemented
18#76358C211yesmaximal, characteristic, complemented
19#76346C211yesmaximal, characteristic, complemented
20#76331C211yesmaximal, characteristic, complemented
21#76294C211yesmaximal, characteristic, complemented
22#75671C211yesmaximal, characteristic, complemented
23#75599C211yesmaximal, characteristic, complemented
24#75525C211yesmaximal, characteristic, complemented
25#75496C211yesmaximal, characteristic, complemented
26#75475C211yesmaximal, characteristic, complemented
27#75460C211yesmaximal, characteristic, complemented
28#73846C211yesmaximal, characteristic, complemented
29#73840C211yesmaximal, characteristic, complemented
30#73840C211yesmaximal, characteristic, complemented
31#73817C211yesmaximal, characteristic, complemented
32#37847—31nomaximal, Sylow
33C24×Dic3C2211yescharacteristic
34C22×#237C2211yescharacteristic
35C2×C3×#126C2211yescharacteristic
36C2×C3×#120C2211yescharacteristic
37C2×#953C2211yescharacteristic
38C2×#939C2211yescharacteristic
39C2×#939C2211yescharacteristic
40C2×#935C2211yescharacteristic
41C2×D4×Dic3C2211yescharacteristic
42C2×D4×Dic3C2211yescharacteristic
43#5708—28no—
44#5586—28no—
45C2×#896C2211yescharacteristic, complemented
46C2×#892C2211yescharacteristic, complemented
47C2×D3×C4⋊C4C2211yescharacteristic, complemented
48C2×#890C2211yescharacteristic, complemented
49C2×#889C2211yescharacteristic, complemented
50C2×#889C2211yescharacteristic, complemented
51C2×#886C2211yescharacteristic
52C2×#883C2211yescharacteristic
53C2×#883C2211yescharacteristic
54C2×#67⋊C4C2211yescharacteristic
55C2×#67⋊C4C2211yescharacteristic
56C2×#879C2211yescharacteristic
57C2×#878C2211yescharacteristic
58C2×#878C2211yescharacteristic
59C2×#878C2211yescharacteristic
60C2×#878C2211yescharacteristic
61C2×#878C2211yescharacteristic
62C2×#878C2211yescharacteristic, complemented
63C2×#877C2211yescharacteristic
64C2×#877C2211yescharacteristic
65C2×#877C2211yescharacteristic
66C2×#872C2211yescharacteristic, complemented
67C2×#872C2211yescharacteristic, complemented
68C2×C4×Dic6C2211yescharacteristic, complemented
69C3×#399C2211yescharacteristic
70C3×#396C2211yescharacteristic
71C3×#394C2211yescharacteristic
72C3×#394C2211yescharacteristic
73C3×#394C2211yescharacteristic
74C3×#394C2211yescharacteristic
75C3×#390C2211yescharacteristic
76C3×#390C2211yescharacteristic
77C3×#388C2211yescharacteristic
78C3×#388C2211yescharacteristic
79C3×#388C2211yescharacteristic
80C3×#379C2211yescharacteristic
81C3×#379C2211yescharacteristic
82#5247C2211yescharacteristic
83#5247C2211yescharacteristic
84#5222C2211yescharacteristic
85#5222C2211yescharacteristic
86#5222C2211yescharacteristic
87#5222C2211yescharacteristic
88#5221C2211yescharacteristic
89#5221C2211yescharacteristic
90#4990C2211yescharacteristic, complemented
91#4989C2211yescharacteristic, complemented
92#4989C2211yescharacteristic, complemented
93#4986C2211yescharacteristic, complemented
94#4985C2211yescharacteristic, complemented
95#4984C2211yescharacteristic, complemented
96#4984C2211yescharacteristic, complemented
97#4983C2211yescharacteristic, complemented
98#4982C2211yescharacteristic, complemented
99#4981C2211yescharacteristic, complemented
100#4980C2211yescharacteristic, complemented
101#4979C2211yescharacteristic, complemented
102#4976C2211yescharacteristic, complemented
103#4976C2211yescharacteristic, complemented
104#4976C2211yescharacteristic, complemented
105#4975C2211yescharacteristic, complemented
106#4973C2211yescharacteristic, complemented
107#4972C2211yescharacteristic, complemented
108#4961C2211yescharacteristic
109#4961C2211yescharacteristic
110#4961C2211yescharacteristic, complemented
111#4959C2211yescharacteristic
112#4959C2211yescharacteristic
113#4959C2211yescharacteristic, complemented
114#4957C2211yescharacteristic
115#4957C2211yescharacteristic
116#4956C2211yescharacteristic
117#4956C2211yescharacteristic
118#4956C2211yescharacteristic
119#4956C2211yescharacteristic
120#4956C2211yescharacteristic, complemented
121#4956C2211yescharacteristic, complemented
122#4953C2211yescharacteristic
123#4953C2211yescharacteristic
124#4952C2211yescharacteristic
125#4952C2211yescharacteristic
126#4951C2211yescharacteristic
127#4951C2211yescharacteristic
128#4951C2211yescharacteristic
129#4951C2211yescharacteristic, complemented
130#4951C2211yescharacteristic, complemented
131#4951C2211yescharacteristic, complemented
132#4950C2211yescharacteristic
133#4950C2211yescharacteristic
134#4950C2211yescharacteristic
135#4949C2211yescharacteristic
136#4948C2211yescharacteristic
137#4948C2211yescharacteristic
138#4948C2211yescharacteristic
139#4948C2211yescharacteristic
140#4948C2211yescharacteristic
141#4948C2211yescharacteristic, complemented
142#4948C2211yescharacteristic, complemented
143#4946C2211yescharacteristic
144#4946C2211yescharacteristic
145#4946C2211yescharacteristic
146#4945C2211yescharacteristic
147#4945C2211yescharacteristic, complemented
148#4944C2211yescharacteristic
149#4944C2211yescharacteristic
150#4944C2211yescharacteristic
151#4944C2211yescharacteristic, complemented
152#4944C2211yescharacteristic, complemented
153#4943C2211yescharacteristic
154#4943C2211yescharacteristic
155#4942C2211yescharacteristic
156#4942C2211yescharacteristic
157#4942C2211yescharacteristic
158#4942C2211yescharacteristic
159#4942C2211yescharacteristic
160#4942C2211yescharacteristic
161#4942C2211yescharacteristic
162#4942C2211yescharacteristic, complemented
163#4942C2211yescharacteristic, complemented
164#4942C2211yescharacteristic, complemented
165Dic3×C22⋊C4C2211yescharacteristic
166Dic3×C22⋊C4C2211yescharacteristic
167Dic3×C22⋊C4C2211yescharacteristic
168Dic3×C22⋊C4C2211yescharacteristic
169#4933C2211yescharacteristic, complemented
170C4×Dic3⋊C4C2211yescharacteristic, complemented
171#4929C2211yescharacteristic, complemented
172#4928C2211yescharacteristic, complemented
173#4928C2211yescharacteristic, complemented
174#4675C2211yescharacteristic, complemented
175#4674C2211yescharacteristic, complemented
176#4670C2211yescharacteristic, complemented
177#4667C2211yescharacteristic, complemented
178#4659C2211yescharacteristic, complemented
179#4659C2211yescharacteristic, complemented
180#4657C2211yescharacteristic, complemented
181#4656C2211yescharacteristic, complemented
182#4655C2211yescharacteristic, complemented
183#4653C2211yescharacteristic, complemented
184#4649C2211yescharacteristic, complemented
185#4649C2211yescharacteristic, complemented
186#4647C2211yescharacteristic, complemented
187#4647C2211yescharacteristic, complemented
188#4647C2211yescharacteristic, complemented
189#4646C2211yescharacteristic, complemented
190C2×#552—31no—
191C2×#525—31no—
192#2848—31no—
193#2701—31no—
194#2701—31no—
195#2697—31no—
196#2697—31no—
197#2689—31no—
198#2689—31no—
199#2685—31no—
200#2685D311yescharacteristic, complemented
201#2629—31no—
202#2616—31no—
203#2562—31no—
204#2558—31no—
205#2558—31no—
206#2556—31no—
207#2556—31no—
208#2538—31no—
209#2487—31no—
210#2485—31no—
211#2476—31no—
212#2476—31no—
213#2470—31no—
214#2470—31no—
215#2415—31no—
216#2415—31no—
217#2354—31no—
218#2323—31no—
219#2311—31no—
220#2280—31no—
221C25×C3C2311yescharacteristic
222C22×C3×D4C2311yescharacteristic
223C22×C3×D4C2311yescharacteristic
224C22×C3×D4C2311yescharacteristic
225C22×#67C2311yescharacteristic
226C22×#67C2311yescharacteristic
227C22×#67C2311yescharacteristic
228C22×#67C2311yescharacteristic
229C23×Dic3—24no—
230C23×Dic3—24no—
231C23×Dic3—42no—
232C23×Dic3C2311yescharacteristic
233C23×Dic3C2311yescharacteristic
234C23×Dic3C2311yescharacteristic
235C23×Dic3C2311yescharacteristic
236C23×Dic3C2311yescharacteristic
237C23×Dic3C2311yescharacteristic
238C23×Dic3C2311yescharacteristic
239C2×#237—24no—
240C2×#237—24no—
241C2×#237—42no—
242C22×C4×D3C2311yescharacteristic
243C22×C4×D3C2311yescharacteristic
244C22×C4×D3C2311yescharacteristic
245C22×Dic6C2311yescharacteristic
246C22×Dic6C2311yescharacteristic
247C3×#126—24no—
248C3×#120—24no—
249C2×C3×C4⋊C4C2311yescharacteristic
250C2×C3×C4⋊C4C2311yescharacteristic
251C2×C3×C4⋊C4C2311yescharacteristic
252C2×C3×C4⋊C4C2311yescharacteristic
253C2×C3×C4⋊C4C2311yescharacteristic
254C2×C3×C4⋊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×C22⋊C4C2311yescharacteristic
265C2×C3×C22⋊C4C2311yescharacteristic
266C2×C3×C22⋊C4C2311yescharacteristic
267C2×C3×C22⋊C4C2311yescharacteristic
268C2×C3×C22⋊C4C2311yescharacteristic
269C2×C3×C22⋊C4C2311yescharacteristic
270C2×C3×C22⋊C4C2311yescharacteristic
271C2×C3×C22⋊C4C2311yescharacteristic
272C2×C3×C22⋊C4C2311yescharacteristic
273C2×C3×C22⋊C4C2311yescharacteristic
274C2×C3×C42C2311yescharacteristic
275C2×C3×C42C2311yescharacteristic
276#953—24no—
277C2×#217C2311yescharacteristic
278C2×#217C2311yescharacteristic
279C2×#217C2311yescharacteristic
280C2×#217C2311yescharacteristic
281C2×#217C2311yescharacteristic
282C2×#217C2311yescharacteristic
283C2×#217C2311yescharacteristic
284C2×#217C2311yescharacteristic
285C2×#217C2311yescharacteristic
286C2×#217C2311yescharacteristic
287C2×#217C2311yescharacteristic
288C2×#217C2311yescharacteristic
289C2×#217C2311yescharacteristic
290C2×#217C2311yescharacteristic
291C2×#217C2311yescharacteristic
292C2×#217C2311yescharacteristic
293C2×#217C2311yescharacteristic
294C2×#217C2311yescharacteristic
295C2×#217C2311yescharacteristic
296C2×#217C2311yescharacteristic
297C2×#217C2311yescharacteristic
298#939—24no—
299#939—24no—
300#935—24no—
301D4×Dic3—24no—
302D4×Dic3—24no—
303C2×(C2×D3)⋊C4C2311yescharacteristic
304C2×(C2×D3)⋊C4C2311yescharacteristic
305C2×(C2×D3)⋊C4C2311yescharacteristic
306C2×(C2×D3)⋊C4C2311yescharacteristic
307C2×(C2×D3)⋊C4C2311yescharacteristic
308C2×(C2×D3)⋊C4C2311yescharacteristic
309C2×(C2×D3)⋊C4C2311yescharacteristic
310C2×(C2×D3)⋊C4C2311yescharacteristic
311C2×C4⋊Dic3C2311yescharacteristic
312C2×C4⋊Dic3C2311yescharacteristic
313C2×C4⋊Dic3C2311yescharacteristic
314C2×C4⋊Dic3C2311yescharacteristic
315C2×C4⋊Dic3C2311yescharacteristic
316C2×C4⋊Dic3C2311yescharacteristic
317C2×C4⋊Dic3C2311yescharacteristic
318C2×C4⋊Dic3C2311yescharacteristic
319C2×C4⋊Dic3C2311yescharacteristic
320C2×C4⋊Dic3C2311yescharacteristic
321C2×C4⋊Dic3C2311yescharacteristic
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×Dic3⋊C4C2311yescharacteristic
334C2×Dic3⋊C4C2311yescharacteristic
335C2×Dic3⋊C4C2311yescharacteristic
336C2×Dic3⋊C4C2311yescharacteristic
337C2×Dic3⋊C4C2311yescharacteristic
338C2×Dic3⋊C4C2311yescharacteristic
339C2×Dic3⋊C4C2311yescharacteristic
340C2×Dic3⋊C4C2311yescharacteristic
341C2×Dic3⋊C4C2311yescharacteristic
342C2×Dic3⋊C4C2311yescharacteristic
343C2×Dic3⋊C4C2311yescharacteristic
344C2×Dic3⋊C4C2311yescharacteristic
345C2×Dic3⋊C4C2311yescharacteristic
346C2×C4×Dic3C2311yescharacteristic
347C2×C4×Dic3C2311yescharacteristic
348C2×C4×Dic3C2311yescharacteristic
349C2×C4×Dic3C2311yescharacteristic
350C2×C4×Dic3C2311yescharacteristic
351C2×C4×Dic3C2311yescharacteristic
352C2×C4×Dic3C2311yescharacteristic
353C2×C4×Dic3C2311yescharacteristic
354C2×C4×Dic3C2311yescharacteristic
355C2×C4×Dic3C2311yescharacteristic
356#896—24no—
357#892—24no—
358D3×C4⋊C4—24no—
359#890—24no—
360#889—24no—
361#889—24no—
362#886—24no—
363#883—24no—
364#883—24no—
365#67⋊C4—24no—
366#67⋊C4D418yes—
367#879—24no—
368#878—24no—
369#878—24no—
370#878—24no—
371#878—24no—
372#878—42no—
373#878—42no—
374#877—24no—
375#877—24no—
376#877—42no—
377#872—24no—
378#872—42no—
379C4×Dic6—24no—
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
408C3⋊#95C2311yescharacteristic
409C3⋊#95C2311yescharacteristic
410C3⋊#95C2311yescharacteristic
411C3⋊#95C2311yescharacteristic
412C3⋊#95C2311yescharacteristic
413C3⋊#95C2311yescharacteristic
414C22×#41—31no—
415C24×C4—31no—
416#552—68no—
417C2×#126—31no—
418C2×#126C2×D311yescharacteristic
419C2×#125—31no—
420C2×#125—31no—
421C2×#125—31no—
422#525—68no—
423C2×#123—31no—
424C2×#123—31no—
425C2×#123—31no—
426C2×#123—31no—
427C2×C22⋊Q8—31no—
428C2×C22⋊Q8—31no—
429C2×C22⋊Q8—31no—
430C2×C22⋊Q8—31no—
431C2×C22⋊Q8—31no—
432C2×C22⋊Q8—31no—
433C2×C22⋊Q8—31no—
434C2×#121—31no—
435C2×#121—31no—
436C2×#120—31no—
437C2×#120C2×D311yescharacteristic
438C2×C4×Q8—31no—
439C2×C4×D4—31no—
440C2×C4×D4—31no—
441C2×C4×D4—31no—
442C2×C4×D4—31no—
443C2×#117—31no—
444C2×#117—31no—
445C2×#117—31no—
446C2×#117—31no—
447C2×#117—31no—
448C2×#117—31no—
449C22×C4⋊C4—31no—
450#400—31no—
451#400—31no—
452#400—31no—
453#400—31no—
454#399—31no—
455#399C2×D311yescharacteristic
456#398—31no—
457#398—31no—
458#398—31no—
459#398—31no—
460#397—31no—
461#397—31no—
462#397—31no—
463#397—31no—
464#397—31no—
465#397—31no—
466#396—31no—
467#396—31no—
468#396—31no—
469#396—31no—
470#396—31no—
471#396—31no—
472#396—31no—
473#396C2×D311yescharacteristic
474#395—31no—
475#395—31no—
476#394—31no—
477#394—31no—
478#394—31no—
479#394—31no—
480#394—31no—
481#394—31no—
482#394—31no—
483#394—31no—
484#394—31no—
485#394—31no—
486#394C2×D311yescharacteristic
487#394C2×D311yescharacteristic
488#394C2×D311yescharacteristic
489#394C2×D311yescharacteristic
490#391—31no—
491#391—31no—
492#391—31no—
493#390—31no—
494#390—31no—
495#390—31no—
496#390—31no—
497#390C2×D311yescharacteristic
498#390C2×D311yescharacteristic
499#389—31no—
500#389—31no—
501#389—31no—
502#389—31no—
503#389—31no—
504#389—31no—
505#389—31no—
506#389—31no—
507#389—31no—
508#389—31no—
509#389—31no—
510#388—31no—
511#388—31no—
512#388—31no—
513#388—31no—
514#388—31no—
515#388—31no—
516#388—31no—
517#388—31no—
518#388—31no—
519#388—31no—
520#388—31no—
521#388—31no—
522#388—31no—
523#388—31no—
524#388—31no—
525#388C2×D311yescharacteristic
526#388C2×D311yescharacteristic
527#388C2×D311yescharacteristic
528#387—31no—
529#387—31no—
530#387—31no—
531#387—31no—
532#386—31no—
533#386—31no—
534#386—31no—
535#386—31no—
536#386—31no—
537#386—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#384—31no—
547#381—31no—
548#381—31no—
549#380—31no—
550#380—31no—
551#380—31no—
552#380—31no—
553#380—31no—
554#380—31no—
555#380—31no—
556#380—31no—
557#380—31no—
558#380—31no—
559#380—31no—
560#379—31no—
561#379—31no—
562#379C2×D311yescharacteristic
563#379C2×D311yescharacteristic
564C4×C4⋊C4—31no—
565C4×C4⋊C4—31no—
566C4×C4⋊C4—31no—
567C4×C22⋊C4—31no—
568C4×C22⋊C4—31no—
569C4×C22⋊C4—31no—
570C4×C22⋊C4—31no—
571C24×C3—22no—
572C24×C3—22no—
573C24×C3—22no—
574C24×C3—41no—
575C24×C3—41no—
576C24×C3—41no—
577C24×C3—41no—
578C24×C3C2411yescharacteristic
579C24×C3C2411yescharacteristic
580C24×C3C2411yescharacteristic
581C24×C3C2411yescharacteristic
582C23×D3C2411yescharacteristic
583C2×C3×D4—22no—
584C2×C3×D4—22no—
585C2×C3×D4—22no—
586C2×C3×D4—22no—
587C2×C3×D4—22no—
588C2×C3×D4—41no—
589C2×C3×D4—41no—
590C2×C3×D4—41no—
591C2×C3×D4—41no—
592C22×C3×C4C2411yescharacteristic
593C22×C3×C4C2411yescharacteristic
594C22×C3×C4C2411yescharacteristic
595C22×C3×C4C2411yescharacteristic
596C22×C3×C4C2411yescharacteristic
597C22×C3×C4C2411yescharacteristic
598C22×C3×C4C2411yescharacteristic
599C22×C3×C4C2411yescharacteristic
600C22×C3×C4C2411yescharacteristic
601C22×C3×C4C2411yescharacteristic
602C22×C3×C4C2411yescharacteristic
603C2×#67—22no—
604C2×#67—22no—
605C2×#67—22no—
606C2×#67—22no—
607C2×#67—22no—
608C2×#67—22no—
609C2×#67—41no—
610C2×#67—41no—
611C2×#67—41no—
612C2×#67—41no—
613C2×#67—41no—
614C2×#67C2×D414yes—
615C22×Dic3—22no—
616C22×Dic3—22no—
617C22×Dic3—22no—
618C22×Dic3—22no—
619C22×Dic3—22no—
620C22×Dic3—22no—
621C22×Dic3—22no—
622C22×Dic3—22no—
623C22×Dic3—22no—
624C22×Dic3—22no—
625C22×Dic3—22no—
626C22×Dic3—22no—
627C22×Dic3—22no—
628C22×Dic3—22no—
629C22×Dic3—22no—
630C22×Dic3—22no—
631C22×Dic3—41no—
632C22×Dic3—41no—
633C22×Dic3—41no—
634C22×Dic3—416no—
635C22×Dic3C2×D414yes—
636C22×Dic3#4114yes—
637C22×Dic3C2411yescharacteristic
638C22×Dic3C2411yescharacteristic
639C22×Dic3C2411yescharacteristic
640C22×Dic3C2411yescharacteristic
641C22×Dic3C2411yescharacteristic
642C22×Dic3C2411yescharacteristic
643C22×Dic3C2411yescharacteristic
644C22×Dic3C2411yescharacteristic
645C22×Dic3C2411yescharacteristic
646C22×Dic3C2411yescharacteristic
647C22×Dic3C2411yescharacteristic
648C22×Dic3C2411yescharacteristic
649C22×Dic3C2411yescharacteristic
650C22×Dic3C2411yescharacteristic
651C22×Dic3C2411yescharacteristic
652#237—416no—
653C2×C4×D3—22no—
654C2×C4×D3—22no—
655C2×C4×D3—22no—
656C2×C4×D3—22no—
657C2×C4×D3—41no—
658C2×C4×D3—41no—
659C2×C4×D3—41no—
660C2×C4×D3—41no—
661C2×C4×D3C2×D414yes—
662C2×Dic6—22no—
663C2×Dic6—22no—
664C2×Dic6—22no—
665C2×Dic6—22no—
666C2×Dic6—22no—
667C2×Dic6—41no—
668C3×C4⋊C4—22no—
669C3×C4⋊C4—22no—
670C3×C4⋊C4—22no—
671C3×C4⋊C4—41no—
672C3×C4⋊C4—41no—
673C3×C4⋊C4—41no—
674C3×C22⋊C4—22no—
675C3×C22⋊C4—22no—
676C3×C22⋊C4—22no—
677C3×C22⋊C4—22no—
678C3×C22⋊C4—22no—
679C3×C22⋊C4—22no—
680C3×C22⋊C4—41no—
681C3×C22⋊C4—41no—
682C3×C22⋊C4—41no—
683C3×C22⋊C4—41no—
684C3×C22⋊C4—41no—
685C3×C22⋊C4—41no—
686C3×C22⋊C4—41no—
687C3×C22⋊C4—41no—
688C3×C22⋊C4—41no—
689C3×C22⋊C4—41no—
690C3×C22⋊C4—41no—
691C3×C22⋊C4—41no—
692C3×C22⋊C4C2×D414yes—
693C3×C42—22no—
694C3×C42—41no—
695#217—22no—
696#217—22no—
697#217—22no—
698#217—22no—
699#217—22no—
700#217—22no—
701#217—22no—
702#217—22no—
703#217—22no—
704#217—41no—
705#217—41no—
706#217—41no—
707#217—41no—
708#217—41no—
709#217—41no—
710#217—41no—
711#217—41no—
712#217—41no—
713#217—41no—
714#217—41no—
715#217—41no—
716(C2×D3)⋊C4—22no—
717(C2×D3)⋊C4—22no—
718(C2×D3)⋊C4—22no—
719(C2×D3)⋊C4—41no—
720(C2×D3)⋊C4—41no—
721(C2×D3)⋊C4—41no—
722(C2×D3)⋊C4—41no—
723(C2×D3)⋊C4C2×D414yes—
724C4⋊Dic3—22no—
725C4⋊Dic3—22no—
726C4⋊Dic3—22no—
727C4⋊Dic3—22no—
728C4⋊Dic3—22no—
729C4⋊Dic3—22no—
730C4⋊Dic3—22no—
731C4⋊Dic3—41no—
732C4⋊Dic3—41no—
733C4⋊Dic3—41no—
734C4⋊Dic3—41no—
735Dic3⋊C4—22no—
736Dic3⋊C4—22no—
737Dic3⋊C4—22no—
738Dic3⋊C4—22no—
739Dic3⋊C4—22no—
740Dic3⋊C4—22no—
741Dic3⋊C4—22no—
742Dic3⋊C4—22no—
743Dic3⋊C4—22no—
744Dic3⋊C4—22no—
745Dic3⋊C4—22no—
746Dic3⋊C4—22no—
747Dic3⋊C4—22no—
748Dic3⋊C4—22no—
749Dic3⋊C4—22no—
750Dic3⋊C4—22no—
751Dic3⋊C4—41no—
752Dic3⋊C4—41no—
753Dic3⋊C4—41no—
754Dic3⋊C4—41no—
755Dic3⋊C4—41no—
756Dic3⋊C4—41no—
757Dic3⋊C4—41no—
758Dic3⋊C4C2×D414yes—
759C4×Dic3—22no—
760C4×Dic3—22no—
761C4×Dic3—22no—
762C4×Dic3—22no—
763C4×Dic3—41no—
764C4×Dic3—41no—
765C4×Dic3—41no—
766C4×Dic3—41no—
767C4×Dic3—41no—
768C4×Dic3C2×D414yes—
769C25C22×D311yescharacteristic
770C2×#41—64no—
771C2×#41—64no—
772C2×#41—122no—
773C22×Q8—31no—
774C22×Q8—31no—
775C22×D4—31no—
776C22×D4—31no—
777C22×D4—31no—
778C22×D4—31no—
779C22×D4C22×D311yescharacteristic
780C22×D4C22×D311yescharacteristic
781C22×D4C22×D311yescharacteristic
782C23×C4—31no—
783C23×C4—31no—
784C23×C4—31no—
785C23×C4—31no—
786C23×C4—31no—
787C23×C4—31no—
788C23×C4—31no—
789C23×C4—31no—
790C23×C4—31no—
791C23×C4—31no—
792C23×C4—64no—
793C23×C4—64no—
794C23×C4—122no—
795#126—24no—
796#126—64no—
797#125—64no—
798#125—64no—
799#125—64no—
800#123—64no—
801#123—64no—
802#123—64no—
803#123—64no—
804C22⋊Q8—64no—
805C22⋊Q8—64no—
806C22⋊Q8—64no—
807C22⋊Q8—64no—
808C22⋊Q8—64no—
809C22⋊Q8—122no—
810C22⋊Q8—122no—
811#121—64no—
812#121—64no—
813#120—24no—
814#120—64no—
815C4×Q8—64no—
816C4×D4—38no—
817C4×D4—64no—
818C4×D4—64no—
819C4×D4—64no—
820#117—64no—
821#117—64no—
822#117—64no—
823#117—64no—
824#117—122no—
825#117—122no—
826C2×C4⋊C4—31no—
827C2×C4⋊C4—31no—
828C2×C4⋊C4—31no—
829C2×C4⋊C4—31no—
830C2×C4⋊C4—31no—
831C2×C4⋊C4—31no—
832C2×C4⋊C4—31no—
833C2×C4⋊C4—31no—
834C2×C4⋊C4—31no—
835C2×C4⋊C4—31no—
836C2×C4⋊C4—31no—
837C2×C4⋊C4—31no—
838C2×C4⋊C4—31no—
839C2×C4⋊C4—31no—
840C2×C4⋊C4—31no—
841C2×C4⋊C4—31no—
842C2×C4⋊C4—31no—
843C2×C4⋊C4—31no—
844C2×C4⋊C4—31no—
845C2×C4⋊C4—31no—
846C2×C4⋊C4—31no—
847C2×C4⋊C4—31no—
848C2×C4⋊C4—31no—
849C2×C4⋊C4—31no—
850C2×C4⋊C4—31no—
851C2×C4⋊C4—31no—
852C2×C4⋊C4—31no—
853C2×C4⋊C4—31no—
854C2×C4⋊C4—31no—
855C2×C4⋊C4—31no—
856C2×C4⋊C4—31no—
857C2×C4⋊C4—31no—
858C2×C4⋊C4—31no—
859C2×C4⋊C4—31no—
860C2×C4⋊C4—31no—
861C2×C4⋊C4—64no—
862C2×C4⋊C4C22×D311yescharacteristic
863C2×C4⋊C4C22×D311yescharacteristic
864C2×C4⋊C4C22×D311yescharacteristic
865C2×C4⋊C4C22×D311yescharacteristic
866C2×C4⋊C4C22×D311yescharacteristic
867C2×C4⋊C4C22×D311yescharacteristic
868C2×C22⋊C4—31no—
869C2×C22⋊C4—31no—
870C2×C22⋊C4—31no—
871C2×C22⋊C4—31no—
872C2×C22⋊C4—31no—
873C2×C22⋊C4—31no—
874C2×C22⋊C4—31no—
875C2×C22⋊C4—31no—
876C2×C22⋊C4—31no—
877C2×C22⋊C4—31no—
878C2×C22⋊C4—31no—
879C2×C22⋊C4—31no—
880C2×C22⋊C4—31no—
881C2×C22⋊C4—31no—
882C2×C22⋊C4—31no—
883C2×C22⋊C4—31no—
884C2×C22⋊C4—31no—
885C2×C22⋊C4—31no—
886C2×C22⋊C4—31no—
887C2×C22⋊C4—31no—
888C2×C22⋊C4—31no—
889C2×C22⋊C4—31no—
890C2×C22⋊C4—31no—
891C2×C22⋊C4—31no—
892C2×C22⋊C4—31no—
893C2×C22⋊C4—31no—
894C2×C22⋊C4—31no—
895C2×C22⋊C4—31no—
896C2×C22⋊C4—31no—
897C2×C22⋊C4C22×D311yescharacteristic
898C2×C22⋊C4C22×D311yescharacteristic
899C2×C22⋊C4C22×D311yescharacteristic
900C2×C22⋊C4C22×D311yescharacteristic
901C2×C22⋊C4C22×D311yescharacteristic
902C2×C22⋊C4C22×D311yescharacteristic
903C2×C22⋊C4C22×D311yescharacteristic
904C2×C22⋊C4C22×D311yescharacteristic
905C2×C22⋊C4C22×D311yescharacteristic
906C2×C22⋊C4C22×D311yescharacteristic
907C2×C22⋊C4C22×D311yescharacteristic
908C2×C22⋊C4C22×D311yescharacteristic
909C2×C22⋊C4C22×D311yescharacteristic
910C2×C22⋊C4C22×D311yescharacteristic
911C2×C22⋊C4C22×D311yescharacteristic
912C2×C22⋊C4C22×D311yescharacteristic
913C2×C22⋊C4C22×D311yescharacteristic
914C2×C22⋊C4C22×D311yescharacteristic
915C2×C22⋊C4C22×D311yescharacteristic
916C2×C42—31no—
917C2×C42—31no—
918C2×C42—31no—
919C2×C42—31no—
920C2×C42—31no—
921C2×C42—31no—
922C2×C42—31no—
923C2×C42—31no—
924C2×C42—31no—
925C2×C42—31no—
926C2×C42C22×D311yescharacteristic
927C2×C42C22×D311yescharacteristic
928#95—31no—
929#95—31no—
930#95—31no—
931#95—31no—
932#95—31no—
933#95—31no—
934#95—31no—
935#95—31no—
936#95—31no—
937#95—31no—
938#95—31no—
939#95—31no—
940#95—31no—
941#95—31no—
942#95—31no—
943#95—31no—
944#95—31no—
945#95—31no—
946#95—31no—
947#95—31no—
948#95—31no—
949#95—31no—
950#95—31no—
951#95—31no—
952#95—31no—
953#95—31no—
954#95—31no—
955#95—31no—
956#95—31no—
957#95—31no—
958#95C22×D311yescharacteristic
959#95C22×D311yescharacteristic
960#95C22×D311yescharacteristic
961#95C22×D311yescharacteristic
962C23×C3—21no—
963C23×C3—21no—
964C23×C3—21no—
965C23×C3—21no—
966C23×C3—21no—
967C23×C3—21no—
968C23×C3—21no—
969C23×C3—21no—
970C23×C3—21no—
971C23×C3—21no—
972C23×C3—21no—
973C23×C3—21no—
974C23×C3—21no—
975C23×C3—21no—
976C23×C3—21no—
977C23×C3—21no—
978C23×C3—21no—
979C23×C3—21no—
980C23×C3—21no—
981C23×C3—21no—
982C23×C3—21no—
983C23×C3—21no—
984C23×C3—21no—
985C23×C3—21no—
986C23×C3—21no—
987C23×C3—44no—
988C23×C3—44no—
989C23×C3—44no—
990C23×C3—44no—
991C23×C3—44no—
992C23×C3—44no—
993C23×C3—44no—
994C23×C3C22×D412yes—
995C23×C3C2×#4112yes—
996C23×C32−1+412yes—
997C23×C3C2511yescharacteristic
998C22×D3—21no—
999C22×D3—21no—
1000C22×D3—21no—
1001C22×D3—21no—
1002C22×D3—21no—
1003C22×D3—21no—
1004C22×D3C22×D412yes—
1005C3×D4—44no—
1006C3×D4—44no—
1007C3×D4—44no—
1008C2×C3×C4—21no—
1009C2×C3×C4—21no—
1010C2×C3×C4—21no—
1011C2×C3×C4—21no—
1012C2×C3×C4—21no—
1013C2×C3×C4—21no—
1014C2×C3×C4—21no—
1015C2×C3×C4—21no—
1016C2×C3×C4—21no—
1017C2×C3×C4—21no—
1018C2×C3×C4—21no—
1019C2×C3×C4—21no—
1020C2×C3×C4—21no—
1021C2×C3×C4—21no—
1022C2×C3×C4—21no—
1023C2×C3×C4—21no—
1024C2×C3×C4—21no—
1025C2×C3×C4—21no—
1026C2×C3×C4—21no—
1027C2×C3×C4—21no—
1028C2×C3×C4—21no—
1029C2×C3×C4—21no—
1030C2×C3×C4—21no—
1031C2×C3×C4—21no—
1032C2×C3×C4—21no—
1033C2×C3×C4—21no—
1034C2×C3×C4—21no—
1035C2×C3×C4—21no—
1036C2×C3×C4—21no—
1037C2×C3×C4—21no—
1038C2×C3×C4—21no—
1039C2×C3×C4C22×D412yes—
1040C2×C3×C4C22×D412yes—
1041#67—44no—
1042#67—44no—
1043#67—44no—
1044#67—44no—
1045C2×Dic3—21no—
1046C2×Dic3—21no—
1047C2×Dic3—21no—
1048C2×Dic3—21no—
1049C2×Dic3—21no—
1050C2×Dic3—21no—
1051C2×Dic3—28no—
1052C2×Dic3—28no—
1053C2×Dic3—21no—
1054C2×Dic3—21no—
1055C2×Dic3—21no—
1056C2×Dic3—21no—
1057C2×Dic3—21no—
1058C2×Dic3—21no—
1059C2×Dic3—21no—
1060C2×Dic3—21no—
1061C2×Dic3—21no—
1062C2×Dic3—21no—
1063C2×Dic3—21no—
1064C2×Dic3—21no—
1065C2×Dic3—21no—
1066C2×Dic3—21no—
1067C2×Dic3—21no—
1068C2×Dic3—21no—
1069C2×Dic3—21no—
1070C2×Dic3—21no—
1071C2×Dic3—21no—
1072C2×Dic3—21no—
1073C2×Dic3—21no—
1074C2×Dic3—21no—
1075C2×Dic3—21no—
1076C2×Dic3—21no—
1077C2×Dic3—21no—
1078C2×Dic3—21no—
1079C2×Dic3—21no—
1080C2×Dic3—21no—
1081C2×Dic3—21no—
1082C2×Dic3—21no—
1083C2×Dic3—21no—
1084C2×Dic3—21no—
1085C2×Dic3—21no—
1086C2×Dic3—44no—
1087C2×Dic3—44no—
1088C2×Dic3—44no—
1089C2×Dic3—44no—
1090C2×Dic3—44no—
1091C2×Dic3C22×D412yes—
1092C2×Dic3C22×D412yes—
1093C2×Dic3C22×D412yes—
1094C2×Dic3C2×#4112yes—
1095C2×Dic3C2×#4112yes—
1096C2×Dic3H(5,𝔽2)12yes—
1097C4×D3—28no—
1098C4×D3—44no—
1099C4×D3—44no—
1100Dic6—44no—
1101Dic6—44no—
1102C24—22no—
1103C24—22no—
1104C24—22no—
1105C24—31no—
1106C24—41no—
1107C24—41no—
1108C24—41no—
1109C24—41no—
1110C24C23×D311yescharacteristic
1111C24C23×D311yescharacteristic
1112C24C23×D311yescharacteristic
1113C24C23×D311yescharacteristic
1114#41—1216no—
1115C2×Q8—62no—
1116C2×Q8—62no—
1117C2×Q8—62no—
1118C2×Q8—62no—
1119C2×Q8—62no—
1120C2×Q8—121no—
1121C2×D4—22no—
1122C2×D4—22no—
1123C2×D4—22no—
1124C2×D4—22no—
1125C2×D4—22no—
1126C2×D4—34no—
1127C2×D4—41no—
1128C2×D4—41no—
1129C2×D4—41no—
1130C2×D4—41no—
1131C2×D4—62no—
1132C2×D4—62no—
1133C2×D4—62no—
1134C2×D4—62no—
1135C2×D4—62no—
1136C2×D4—62no—
1137C2×D4—121no—
1138C2×D4—121no—
1139C2×D4—121no—
1140C2×D4—121no—
1141C2×D4—121no—
1142C22×C4—31no—
1143C22×C4—34no—
1144C22×C4—34no—
1145C22×C4—31no—
1146C22×C4—31no—
1147C22×C4—31no—
1148C22×C4—34no—
1149C22×C4—31no—
1150C22×C4—31no—
1151C22×C4—31no—
1152C22×C4—31no—
1153C22×C4—31no—
1154C22×C4—31no—
1155C22×C4—31no—
1156C22×C4—31no—
1157C22×C4—31no—
1158C22×C4—31no—
1159C22×C4—31no—
1160C22×C4—62no—
1161C22×C4—62no—
1162C22×C4—62no—
1163C22×C4—62no—
1164C22×C4—62no—
1165C22×C4—62no—
1166C22×C4—62no—
1167C22×C4—62no—
1168C22×C4—62no—
1169C22×C4—62no—
1170C22×C4—62no—
1171C22×C4—62no—
1172C22×C4—62no—
1173C22×C4—62no—
1174C22×C4—62no—
1175C22×C4—62no—
1176C22×C4—62no—
1177C22×C4—62no—
1178C22×C4—62no—
1179C22×C4—62no—
1180C22×C4—121no—
1181C22×C4—121no—
1182C22×C4—121no—
1183C22×C4—121no—
1184C22×C4—121no—
1185C22×C4—121no—
1186C22×C4—121no—
1187C22×C4—1216no—
1188C22×C4C23×D311yescharacteristic
1189C22×C4C23×D311yescharacteristic
1190C22×C4C23×D311yescharacteristic
1191C22×C4C23×D311yescharacteristic
1192C22×C4C23×D311yescharacteristic
1193C22×C4C23×D311yescharacteristic
1194C22×C4C23×D311yescharacteristic
1195C22×C4C23×D311yescharacteristic
1196C22×C4C23×D311yescharacteristic
1197C22×C4C23×D311yescharacteristic
1198C22×C4C23×D311yescharacteristic
1199C4⋊C4—22no—
1200C4⋊C4—22no—
1201C4⋊C4—22no—
1202C4⋊C4—34no—
1203C4⋊C4—41no—
1204C4⋊C4—41no—
1205C4⋊C4—41no—
1206C4⋊C4—62no—
1207C4⋊C4—62no—
1208C4⋊C4—62no—
1209C4⋊C4—62no—
1210C4⋊C4—62no—
1211C4⋊C4—62no—
1212C4⋊C4—62no—
1213C4⋊C4—62no—
1214C4⋊C4—62no—
1215C4⋊C4—62no—
1216C4⋊C4—62no—
1217C4⋊C4—62no—
1218C4⋊C4—62no—
1219C4⋊C4—62no—
1220C4⋊C4—62no—
1221C4⋊C4—62no—
1222C4⋊C4—62no—
1223C4⋊C4—62no—
1224C4⋊C4—62no—
1225C4⋊C4—62no—
1226C4⋊C4—62no—
1227C4⋊C4—62no—
1228C4⋊C4—62no—
1229C4⋊C4—121no—
1230C4⋊C4—121no—
1231C4⋊C4—121no—
1232C4⋊C4—121no—
1233C4⋊C4—121no—
1234C4⋊C4—121no—
1235C4⋊C4—121no—
1236C4⋊C4—121no—
1237C4⋊C4—121no—
1238C4⋊C4—121no—
1239C4⋊C4—121no—
1240C22⋊C4—22no—
1241C22⋊C4—22no—
1242C22⋊C4—22no—
1243C22⋊C4—22no—
1244C22⋊C4—22no—
1245C22⋊C4—22no—
1246C22⋊C4—34no—
1247C22⋊C4—41no—
1248C22⋊C4—41no—
1249C22⋊C4—41no—
1250C22⋊C4—41no—
1251C22⋊C4—41no—
1252C22⋊C4—41no—
1253C22⋊C4—41no—
1254C22⋊C4—41no—
1255C22⋊C4—41no—
1256C22⋊C4—41no—
1257C22⋊C4—41no—
1258C22⋊C4—41no—
1259C22⋊C4—62no—
1260C22⋊C4—62no—
1261C22⋊C4—62no—
1262C22⋊C4—62no—
1263C22⋊C4—62no—
1264C22⋊C4—62no—
1265C22⋊C4—62no—
1266C22⋊C4—62no—
1267C22⋊C4—62no—
1268C22⋊C4—62no—
1269C22⋊C4—62no—
1270C22⋊C4—62no—
1271C22⋊C4—121no—
1272C22⋊C4—121no—
1273C22⋊C4—121no—
1274C22⋊C4—121no—
1275C22⋊C4—121no—
1276C22⋊C4—121no—
1277C22⋊C4—121no—
1278C22⋊C4—121no—
1279C22⋊C4—121no—
1280C22⋊C4—121no—
1281C22⋊C4—121no—
1282C22⋊C4—121no—
1283C22⋊C4—121no—
1284C22⋊C4—121no—
1285C22⋊C4—121no—
1286C22⋊C4—121no—
1287C22⋊C4D3×D414yes—
1288C42—22no—
1289C42—34no—
1290C42—41no—
1291C42—62no—
1292C42—62no—
1293C42—62no—
1294C42—62no—
1295C42—121no—
1296C42—121no—
1297C42—121no—
1298C42—121no—
1299C42—121no—
1300C22×C3—22no—
1301C22×C3—22no—
1302C22×C3—22no—
1303C22×C3—22no—
1304C22×C3—22no—
1305C22×C3—22no—
1306C22×C3—22no—
1307C22×C3—22no—
1308C22×C3—22no—
1309C22×C3—416no—
1310C22×C3—41no—
1311C22×C3—41no—
1312C22×C3—41no—
1313C22×C3—41no—
1314C22×C3—41no—
1315C22×C3—41no—
1316C22×C3—41no—
1317C22×C3—41no—
1318C22×C3—41no—
1319C22×C3—41no—
1320C22×C3—41no—
1321C22×C3—41no—
1322C22×C3—41no—
1323C22×C3—41no—
1324C22×C3—41no—
1325C22×C3—41no—
1326C22×C3—41no—
1327C22×C3—41no—
1328C22×C3—41no—
1329C22×C3C23×D411yescharacteristic
1330C22×C3C22×#4111yescharacteristic
1331C22×C3C2×H(5,𝔽2)11yescharacteristic
1332C22×C3C2×2−1+411yescharacteristic
1333C22×C3#58511yescharacteristic
1334C22×C3#58511yescharacteristic
1335C22×C3#58511yescharacteristic
1336C2×D3—22no—
1337C2×D3—22no—
1338C2×D3—22no—
1339C2×D3—41no—
1340C2×D3—41no—
1341C2×D3—41no—
1342C2×D3—41no—
1343C3×C4—22no—
1344C3×C4—22no—
1345C3×C4—41no—
1346C3×C4—41no—
1347C3×C4—41no—
1348C3×C4—41no—
1349C3×C4—41no—
1350C3×C4—41no—
1351C3×C4—41no—
1352C3×C4—41no—
1353C3×C4—41no—
1354Dic3—22no—
1355Dic3—22no—
1356Dic3—22no—
1357Dic3—41no—
1358Dic3—41no—
1359Dic3—41no—
1360Dic3—41no—
1361Dic3—41no—
1362Dic3—41no—
1363Dic3—41no—
1364Dic3—41no—
1365Dic3—41no—
1366Dic3—41no—
1367Dic3—41no—
1368Dic3#54614yes—
1369C23—21no—
1370C23—21no—
1371C23—21no—
1372C23—21no—
1373C23—21no—
1374C23—21no—
1375C23—21no—
1376C23—21no—
1377C23—21no—
1378C23—21no—
1379C23—21no—
1380C23—21no—
1381C23—21no—
1382C23—21no—
1383C23—21no—
1384C23—21no—
1385C23—21no—
1386C23—21no—
1387C23—21no—
1388C23—21no—
1389C23—21no—
1390C23—21no—
1391C23—21no—
1392C23—21no—
1393C23—21no—
1394C23—32no—
1395C23—44no—
1396C23—44no—
1397C23—44no—
1398C23—44no—
1399C23—44no—
1400C23—44no—
1401C23—44no—
1402C23—61no—
1403C23—61no—
1404C23—61no—
1405C23—61no—
1406C23—61no—
1407C23—61no—
1408C23C2×D3×D412yes—
1409C23D3×#4112yes—
1410C23#101012yes—
1411C23C24×D311yescharacteristic
1412Q8—124no—
1413Q8—124no—
1414D4—44no—
1415D4—44no—
1416D4—44no—
1417D4—124no—
1418D4—124no—
1419D4—124no—
1420D4—124no—
1421C2×C4—21no—
1422C2×C4—21no—
1423C2×C4—21no—
1424C2×C4—21no—
1425C2×C4—21no—
1426C2×C4—21no—
1427C2×C4—21no—
1428C2×C4—21no—
1429C2×C4—21no—
1430C2×C4—21no—
1431C2×C4—21no—
1432C2×C4—21no—
1433C2×C4—21no—
1434C2×C4—21no—
1435C2×C4—21no—
1436C2×C4—21no—
1437C2×C4—21no—
1438C2×C4—21no—
1439C2×C4—21no—
1440C2×C4—21no—
1441C2×C4—21no—
1442C2×C4—21no—
1443C2×C4—21no—
1444C2×C4—21no—
1445C2×C4—21no—
1446C2×C4—21no—
1447C2×C4—21no—
1448C2×C4—21no—
1449C2×C4—21no—
1450C2×C4—21no—
1451C2×C4—21no—
1452C2×C4—32no—
1453C2×C4—32no—
1454C2×C4—32no—
1455C2×C4—32no—
1456C2×C4—32no—
1457C2×C4—32no—
1458C2×C4—68no—
1459C2×C4—68no—
1460C2×C4—68no—
1461C2×C4—61no—
1462C2×C4—61no—
1463C2×C4—61no—
1464C2×C4—61no—
1465C2×C4—61no—
1466C2×C4—61no—
1467C2×C4—61no—
1468C2×C4—61no—
1469C2×C4—61no—
1470C2×C4—61no—
1471C2×C4—61no—
1472C2×C4—61no—
1473C2×C4—61no—
1474C2×C4—61no—
1475C2×C4—61no—
1476C2×C4—61no—
1477C2×C4—61no—
1478C2×C4—61no—
1479C2×C4—61no—
1480C2×C4—61no—
1481C2×C4—61no—
1482C2×C4—61no—
1483C2×C4—61no—
1484C2×C4—61no—
1485C2×C4—61no—
1486C2×C4—61no—
1487C2×C4—61no—
1488C2×C4—61no—
1489C2×C4—61no—
1490C2×C4—61no—
1491C2×C4—61no—
1492C2×C4—61no—
1493C2×C4—61no—
1494C2×C4—61no—
1495C2×C4—61no—
1496C2×C4—61no—
1497C2×C4—61no—
1498C2×C4—61no—
1499C2×C4—61no—
1500C2×C4—124no—
1501C2×C4—124no—
1502C2×C4—124no—
1503C2×C4—124no—
1504C2×C4—124no—
1505C2×C4—124no—
1506C2×C4—124no—
1507C2×C4C2×D3×D412yes—
1508C2×C4C2×D3×D412yes—
1509C2×C3—42no—
1510C2×C3—42no—
1511C2×C3—42no—
1512C2×C3—81no—
1513C2×C3#344911yescharacteristic
1514C2×C3C2×#54611yescharacteristic
1515C2×C3#348911yescharacteristic
1516C2×C3#349311yescharacteristic
1517C2×C3#349511yescharacteristic
1518C2×C3#353911yescharacteristic
1519C2×C3#354111yescharacteristic
1520D3—42no—
1521C22—22no—
1522C22—22no—
1523C22—22no—
1524C22—22no—
1525C22—22no—
1526C22—22no—
1527C22—22no—
1528C22—22no—
1529C22—22no—
1530C22—416no—
1531C22—41no—
1532C22—41no—
1533C22—41no—
1534C22—41no—
1535C22—41no—
1536C22—41no—
1537C22—41no—
1538C22—41no—
1539C22—41no—
1540C22—41no—
1541C22—41no—
1542C22—41no—
1543C22—41no—
1544C22—41no—
1545C22—41no—
1546C22—41no—
1547C22—41no—
1548C22—41no—
1549C22—41no—
1550C22—62no—
1551C22—62no—
1552C22—62no—
1553C22—121no—
1554C22—121no—
1555C22—121no—
1556C22—121no—
1557C22C22×D3×D411yescharacteristic
1558C22C2×D3×#4111yescharacteristic
1559C22C2×#101011yescharacteristic
1560C22D3×H(5,𝔽2)11yescharacteristic
1561C22#596611yescharacteristic
1562C22#596611yescharacteristic
1563C22#596611yescharacteristic
1564C4—22no—
1565C4—22no—
1566C4—34no—
1567C4—41no—
1568C4—41no—
1569C4—41no—
1570C4—41no—
1571C4—41no—
1572C4—41no—
1573C4—41no—
1574C4—41no—
1575C4—41no—
1576C4—62no—
1577C4—62no—
1578C4—62no—
1579C4—121no—
1580C4—121no—
1581C4—121no—
1582C4—121no—
1583C4—121no—
1584C4—121no—
1585C4—121no—
1586C4—121no—
1587C4—121no—
1588C4—121no—
1589C4—121no—
1590C3#3784711yescharacteristic, complemented, Sylow
1591C2—42no—
1592C2—42no—
1593C2—42no—
1594C2—81no—
1595C2—122no—
1596C2#8631311yescharacteristic
1597C2#8639011yescharacteristic
1598C2#8639911yescharacteristic
1599C2#8663011yescharacteristic
1600C2D3×#54611yescharacteristic
1601C2#8679311yescharacteristic
1602C2#8707211yescharacteristic
subgroupG/H
center, FrattiniC23C24×D3
commutator, socle, cosocleC23×C3C25
FittingC3×#2685C2
prime radicalC2×#5586C2
hypercenter#2685D3
hypocenterC3#37847
LCSG ▷ C23×C3 ▷ C3
UCSC1 ◁ C23 ◁ #2685

Complements

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

NH ≅ G/Ntype
1. C2×#5708C2semidirect
3. C3×#2685C2semidirect
4. #83091C2semidirect
5. #82599C2semidirect
6. #78039C2semidirect
7. #78029C2semidirect
8. #77332C2semidirect
9. #77299C2semidirect
10. #77021C2semidirect
11. #77020C2semidirect
12. #76970C2semidirect
13. #76955C2semidirect
14. #76950C2semidirect
15. #76933C2semidirect
16. #76929C2semidirect
17. #76897C2semidirect
18. #76358C2semidirect
19. #76346C2semidirect
20. #76331C2semidirect
21. #76294C2semidirect
22. #75671C2semidirect
23. #75599C2semidirect
24. #75525C2semidirect
25. #75496C2semidirect
26. #75475C2semidirect
27. #75460C2semidirect
28. #73846C2semidirect
29. #73840C2semidirect
30. #73840C2semidirect
31. #73817C2semidirect
45. C2×#896C22semidirect
46. C2×#892C22semidirect
47. C2×D3×C4⋊C4C22semidirect
48. C2×#890C22semidirect
49. C2×#889C22semidirect
50. C2×#889C22semidirect
62. C2×#878C22semidirect
66. C2×#872C22semidirect
67. C2×#872C22semidirect
68. C2×C4×Dic6C22semidirect
90. #4990C22semidirect
91. #4989C22semidirect
92. #4989C22semidirect
93. #4986C22semidirect
94. #4985C22semidirect
95. #4984C22semidirect
96. #4984C22semidirect
97. #4983C22semidirect
98. #4982C22semidirect
99. #4981C22semidirect
100. #4980C22semidirect
101. #4979C22semidirect
102. #4976C22semidirect
103. #4976C22semidirect
104. #4976C22semidirect
105. #4975C22semidirect
106. #4973C22semidirect
107. #4972C22semidirect
110. #4961C22semidirect
113. #4959C22semidirect
120. #4956C22semidirect
121. #4956C22semidirect
129. #4951C22semidirect
130. #4951C22semidirect
131. #4951C22semidirect
141. #4948C22semidirect
142. #4948C22semidirect
147. #4945C22semidirect
151. #4944C22semidirect
152. #4944C22semidirect
162. #4942C22semidirect
163. #4942C22semidirect
164. #4942C22semidirect
169. #4933C22semidirect
170. C4×Dic3⋊C4C22semidirect
171. #4929C22semidirect
172. #4928C22semidirect
173. #4928C22semidirect
174. #4675C22semidirect
175. #4674C22semidirect
176. #4670C22semidirect
177. #4667C22semidirect
178. #4659C22semidirect
179. #4659C22semidirect
180. #4657C22semidirect
181. #4656C22semidirect
182. #4655C22semidirect
183. #4653C22semidirect
184. #4649C22semidirect
185. #4649C22semidirect
186. #4647C22semidirect
187. #4647C22semidirect
188. #4647C22semidirect
189. #4646C22semidirect
200. #2685D3semidirect
1590. C3#37847semidirect

Maximal subgroups

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

subgroupindex
C2×#57082
C2×#55862
C3×#26852
#830912
#825992
#780392
#780292
#773322
#772992
#770212
#770202
#769702
#769552
#769502
#769332
#769292
#768972
#763582
#763462
#763312
#762942
#756712
#755992
#755252
#754962
#754752
#754602
#738462
#738402
#738172
#378473