Finite Group Databasebeta

← #11633292

Subgroups — #11633292

Order 768.

2588 conjugacy classes of subgroups.

The subgroup lattice has 1636 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×C3×#123C211yesmaximal, characteristic
2C2×#5650C211yesmaximal, characteristic, complemented
3#84047C211yesmaximal, characteristic
4D4×#217C211yesmaximal, characteristic
5C2×#5210C211yesmaximal, characteristic, complemented
6#84027C211yesmaximal, characteristic, complemented
7#82883C211yesmaximal, characteristic, complemented
8#82877C211yesmaximal, characteristic, complemented
9#82876C211yesmaximal, characteristic, complemented
10#82874C211yesmaximal, characteristic, complemented
11#82863C211yesmaximal, characteristic, complemented
12#82860C211yesmaximal, characteristic, complemented
13#82858C211yesmaximal, characteristic, complemented
14#82857C211yesmaximal, characteristic, complemented
15#82856C211yesmaximal, characteristic, complemented
16#82854C211yesmaximal, characteristic, complemented
17#82851C211yesmaximal, characteristic, complemented
18#82844C211yesmaximal, characteristic, complemented
19#82843C211yesmaximal, characteristic, complemented
20#82842C211yesmaximal, characteristic, complemented
21#82838C211yesmaximal, characteristic, complemented
22#82174C211yesmaximal, characteristic, complemented
23#82174C211yesmaximal, characteristic, complemented
24#82172C211yesmaximal, characteristic, complemented
25#82162C211yesmaximal, characteristic, complemented
26#82112C211yesmaximal, characteristic, complemented
27#82112C211yesmaximal, characteristic, complemented
28#82110C211yesmaximal, characteristic, complemented
29#82110C211yesmaximal, characteristic, complemented
30#82098C211yesmaximal, characteristic, complemented
31#82098C211yesmaximal, characteristic, complemented
32#59012—31nomaximal, Sylow
33C23×C3×D4C2211yescharacteristic
34C24×C3×C4C2211yescharacteristic
35C2×C3×#123—28no—
36C2×C3×#123C2211yescharacteristic
37C2×C3×#123C2211yescharacteristic
38C2×C3×#123C2211yescharacteristic
39C2×C3×#123C2211yescharacteristic
40C2×C3×#123C2211yescharacteristic
41C2×C3×#123C2211yescharacteristic
42C2×C3×#123C2211yescharacteristic
43C2×C3×#123C2211yescharacteristic
44C22×C3×C4⋊C4C2211yescharacteristic
45C22×C3×C4⋊C4C2211yescharacteristic
46C22×C3×C22⋊C4C2211yescharacteristic
47C22×C3×C22⋊C4C2211yescharacteristic
48C22×C3×C22⋊C4C2211yescharacteristic
49C22×#217C2211yescharacteristic
50C22×#217C2211yescharacteristic
51C22×#217C2211yescharacteristic
52C2×#935C2211yescharacteristic
53C2×#935C2211yescharacteristic
54C2×D4×Dic3C2211yescharacteristic
55C2×D4×Dic3C2211yescharacteristic
56C2×#926C2211yescharacteristic, complemented
57C2×#926C2211yescharacteristic, complemented
58C2×#924C2211yescharacteristic
59C22×Dic3⋊C4C2211yescharacteristic, complemented
60C22×Dic3⋊C4C2211yescharacteristic, complemented
61#5650—28no—
62C2×#890C2211yescharacteristic, complemented
63C2×#889C2211yescharacteristic, complemented
64C2×#889C2211yescharacteristic, complemented
65C2×#887C2211yescharacteristic, complemented
66C2×#879C2211yescharacteristic, complemented
67C2×#879C2211yescharacteristic, complemented
68C2×#878C2211yescharacteristic, complemented
69C2×#878C2211yescharacteristic, complemented
70C2×#877C2211yescharacteristic, complemented
71C2×#877C2211yescharacteristic, complemented
72#5247C2211yescharacteristic
73#5247C2211yescharacteristic
74#5247C2211yescharacteristic
75#5247C2211yescharacteristic
76#5247C2211yescharacteristic
77#5222C2211yescharacteristic
78#5222C2211yescharacteristic
79#5222C2211yescharacteristic
80#5222C2211yescharacteristic
81#5221C2211yescharacteristic
82#5221C2211yescharacteristic
83#5220C2211yescharacteristic
84#5220C2211yescharacteristic
85#5220C2211yescharacteristic
86#5220C2211yescharacteristic
87#5220C2211yescharacteristic
88#5220C2211yescharacteristic
89#5212C2211yescharacteristic
90#5212C2211yescharacteristic
91#5212C2211yescharacteristic
92#5212C2211yescharacteristic
93#5212C2211yescharacteristic, complemented
94#5212C2211yescharacteristic, complemented
95#5211C2211yescharacteristic, complemented
96#5211C2211yescharacteristic, complemented
97#5210C2211yescharacteristic
98#5210C2211yescharacteristic
99#5210C2211yescharacteristic
100#5210C2211yescharacteristic
101#5210C2211yescharacteristic
102#5210C2211yescharacteristic
103#5210C2211yescharacteristic
104#5210C2211yescharacteristic
105#5210C2211yescharacteristic
106#5210C2211yescharacteristic
107#5210C2211yescharacteristic, complemented
108#5210C2211yescharacteristic, complemented
109#5210C2211yescharacteristic, complemented
110#5210C2211yescharacteristic, complemented
111C4×#217C2211yescharacteristic
112C4×#217C2211yescharacteristic
113C4×#217C2211yescharacteristic
114C4×#217C2211yescharacteristic
115C4×#217C2211yescharacteristic
116C4×#217C2211yescharacteristic, complemented
117C4×#217C2211yescharacteristic, complemented
118C2×C3⋊#95C2211yescharacteristic, complemented
119C2×C3⋊#95C2211yescharacteristic, complemented
120#4986C2211yescharacteristic, complemented
121#4986C2211yescharacteristic, complemented
122#4985C2211yescharacteristic, complemented
123#4985C2211yescharacteristic, complemented
124#4984C2211yescharacteristic, complemented
125#4983C2211yescharacteristic, complemented
126#4983C2211yescharacteristic, complemented
127#4982C2211yescharacteristic, complemented
128#4982C2211yescharacteristic, complemented
129#4982C2211yescharacteristic, complemented
130#4982C2211yescharacteristic, complemented
131#4981C2211yescharacteristic, complemented
132#4981C2211yescharacteristic, complemented
133#4980C2211yescharacteristic, complemented
134#4980C2211yescharacteristic, complemented
135#4978C2211yescharacteristic, complemented
136#4978C2211yescharacteristic, complemented
137#4978C2211yescharacteristic, complemented
138#4978C2211yescharacteristic, complemented
139#4977C2211yescharacteristic, complemented
140#4976C2211yescharacteristic, complemented
141#4976C2211yescharacteristic, complemented
142#4976C2211yescharacteristic, complemented
143#4976C2211yescharacteristic, complemented
144Dic3×C4⋊C4C2211yescharacteristic, complemented
145#4973C2211yescharacteristic, complemented
146#4972C2211yescharacteristic, complemented
147#4972C2211yescharacteristic, complemented
148#4953C2211yescharacteristic, complemented
149#4953C2211yescharacteristic, complemented
150#4952C2211yescharacteristic, complemented
151#4952C2211yescharacteristic, complemented
152#4952C2211yescharacteristic, complemented
153#4952C2211yescharacteristic, complemented
154#4951C2211yescharacteristic, complemented
155#4951C2211yescharacteristic, complemented
156#4950C2211yescharacteristic, complemented
157#4950C2211yescharacteristic, complemented
158#4949C2211yescharacteristic, complemented
159#4949C2211yescharacteristic, complemented
160#4948C2211yescharacteristic, complemented
161#4948C2211yescharacteristic, complemented
162#4948C2211yescharacteristic, complemented
163#4948C2211yescharacteristic, complemented
164#4948C2211yescharacteristic, complemented
165#4948C2211yescharacteristic, complemented
166#4947C2211yescharacteristic, complemented
167#4947C2211yescharacteristic, complemented
168#4946C2211yescharacteristic, complemented
169#4946C2211yescharacteristic, complemented
170#4945C2211yescharacteristic, complemented
171#4945C2211yescharacteristic, complemented
172#4945C2211yescharacteristic, complemented
173#4945C2211yescharacteristic, complemented
174#4945C2211yescharacteristic, complemented
175#4945C2211yescharacteristic, complemented
176#4944C2211yescharacteristic, complemented
177#4944C2211yescharacteristic, complemented
178#4944C2211yescharacteristic, complemented
179#4944C2211yescharacteristic, complemented
180#4944C2211yescharacteristic, complemented
181#4944C2211yescharacteristic, complemented
182#4943C2211yescharacteristic, complemented
183#4943C2211yescharacteristic, complemented
184#4942C2211yescharacteristic, complemented
185#4942C2211yescharacteristic, complemented
186#4942C2211yescharacteristic, complemented
187#4942C2211yescharacteristic, complemented
188Dic3×C22⋊C4C2211yescharacteristic, complemented
189Dic3×C22⋊C4C2211yescharacteristic, complemented
190C2×#552—31no—
191C22×#123D311yescharacteristic
192#2707—31no—
193#2695—31no—
194#2694—31no—
195#2687—31no—
196#2558—31no—
197#2553—31no—
198#2498—31no—
199#2488—31no—
200#2486—31no—
201#2480—31no—
202#2480—31no—
203#2473—31no—
204#2473—31no—
205#2470—31no—
206#2458—31no—
207#2442—31no—
208#2437—31no—
209#2437—31no—
210#2419—31no—
211#2413—31no—
212#2413—31no—
213#2405—31no—
214#2360—31no—
215#2359—31no—
216#2342—31no—
217#2342—31no—
218D4×C22⋊C4—31no—
219C2×#385—31no—
220#2280—31no—
221C25×C3C2311yescharacteristic
222C25×C3C2311yescharacteristic
223C22×C3×D4—24no—
224C22×C3×D4—24no—
225C22×C3×D4—42no—
226C22×C3×D4C2311yescharacteristic
227C22×C3×D4C2311yescharacteristic
228C22×C3×D4C2311yescharacteristic
229C22×C3×D4C2311yescharacteristic
230C23×C3×C4—24no—
231C23×C3×C4—24no—
232C23×C3×C4—42no—
233C23×C3×C4C2311yescharacteristic
234C23×C3×C4C2311yescharacteristic
235C23×C3×C4C2311yescharacteristic
236C23×C3×C4C2311yescharacteristic
237C23×C3×C4C2311yescharacteristic
238C23×C3×C4C2311yescharacteristic
239C23×C3×C4C2311yescharacteristic
240C23×C3×C4C2311yescharacteristic
241C23×C3×C4C2311yescharacteristic
242C23×Dic3C2311yescharacteristic
243C23×Dic3C2311yescharacteristic
244C23×Dic3C2311yescharacteristic
245C23×Dic3C2311yescharacteristic
246C23×Dic3C2311yescharacteristic
247C23×Dic3C2311yescharacteristic
248C22×Dic6C2311yescharacteristic
249C3×#123—24no—
250C3×#123—24no—
251C3×#123—24no—
252C3×#123—24no—
253C3×#123—24no—
254C3×#123—24no—
255C3×#123—24no—
256C3×#123D418yes—
257C2×C3×C4⋊C4—24no—
258C2×C3×C4⋊C4—24no—
259C2×C3×C4⋊C4C2311yescharacteristic
260C2×C3×C4⋊C4C2311yescharacteristic
261C2×C3×C4⋊C4C2311yescharacteristic
262C2×C3×C4⋊C4C2311yescharacteristic
263C2×C3×C4⋊C4C2311yescharacteristic
264C2×C3×C4⋊C4C2311yescharacteristic
265C2×C3×C4⋊C4C2311yescharacteristic
266C2×C3×C4⋊C4C2311yescharacteristic
267C2×C3×C22⋊C4—24no—
268C2×C3×C22⋊C4—24no—
269C2×C3×C22⋊C4—24no—
270C2×C3×C22⋊C4C2311yescharacteristic
271C2×C3×C22⋊C4C2311yescharacteristic
272C2×C3×C22⋊C4C2311yescharacteristic
273C2×C3×C22⋊C4C2311yescharacteristic
274C2×C3×C22⋊C4C2311yescharacteristic
275C2×C3×C22⋊C4C2311yescharacteristic
276C2×C3×C22⋊C4C2311yescharacteristic
277C2×C3×C22⋊C4C2311yescharacteristic
278C2×C3×C22⋊C4C2311yescharacteristic
279C2×C3×C22⋊C4C2311yescharacteristic
280C2×C3×C22⋊C4C2311yescharacteristic
281C2×C3×C22⋊C4C2311yescharacteristic
282C2×#217—24no—
283C2×#217—24no—
284C2×#217—24no—
285C2×#217C2311yescharacteristic
286C2×#217C2311yescharacteristic
287C2×#217C2311yescharacteristic
288C2×#217C2311yescharacteristic
289C2×#217C2311yescharacteristic
290C2×#217C2311yescharacteristic
291C2×#217C2311yescharacteristic
292C2×#217C2311yescharacteristic
293C2×#217C2311yescharacteristic
294C2×#217C2311yescharacteristic
295C2×#217C2311yescharacteristic
296C2×#217C2311yescharacteristic
297C2×#217C2311yescharacteristic
298C2×#217C2311yescharacteristic
299C2×#217C2311yescharacteristic
300C2×#217C2311yescharacteristic
301C2×#217C2311yescharacteristic
302C2×#217C2311yescharacteristic
303C2×#217C2311yescharacteristic
304C2×#217C2311yescharacteristic
305C2×#217C2311yescharacteristic
306C2×#217C2311yescharacteristic
307C2×#217C2311yescharacteristic
308C2×#217C2311yescharacteristic
309C2×#217C2311yescharacteristic
310C2×#217C2311yescharacteristic
311C2×#217C2311yescharacteristic
312C2×#217C2311yescharacteristic
313C2×#217C2311yescharacteristic
314C2×#217C2311yescharacteristic
315C2×#217C2311yescharacteristic
316C2×#217C2311yescharacteristic
317C2×#217C2311yescharacteristic
318C2×#217C2311yescharacteristic
319#935—24no—
320#935—42no—
321D4×Dic3—24no—
322D4×Dic3—42no—
323#926—24no—
324#926—42no—
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
334#924—24no—
335C2×Dic3⋊C4—24no—
336C2×Dic3⋊C4—42no—
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×Dic3⋊C4C2311yescharacteristic
347C2×Dic3⋊C4C2311yescharacteristic
348C2×Dic3⋊C4C2311yescharacteristic
349C2×Dic3⋊C4C2311yescharacteristic
350C2×Dic3⋊C4C2311yescharacteristic
351C2×Dic3⋊C4C2311yescharacteristic
352C2×Dic3⋊C4C2311yescharacteristic
353C2×Dic3⋊C4C2311yescharacteristic
354C2×Dic3⋊C4C2311yescharacteristic
355C2×Dic3⋊C4C2311yescharacteristic
356C2×Dic3⋊C4C2311yescharacteristic
357C2×Dic3⋊C4C2311yescharacteristic
358C2×Dic3⋊C4C2311yescharacteristic
359C2×C4×Dic3C2311yescharacteristic
360C2×C4×Dic3C2311yescharacteristic
361C2×C4×Dic3C2311yescharacteristic
362C2×C4×Dic3C2311yescharacteristic
363C2×C4×Dic3C2311yescharacteristic
364C2×C4×Dic3C2311yescharacteristic
365C2×C4×Dic3C2311yescharacteristic
366C2×C4×Dic3C2311yescharacteristic
367C2×C4×Dic3C2311yescharacteristic
368C2×C4×Dic3C2311yescharacteristic
369#890—24no—
370#889—24no—
371#889—24no—
372#887—24no—
373#879—24no—
374#879—24no—
375#878—24no—
376#878—24no—
377#877—24no—
378#877—24no—
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
408C3⋊#95C2311yescharacteristic
409C3⋊#95C2311yescharacteristic
410C3⋊#95C2311yescharacteristic
411C3⋊#95C2311yescharacteristic
412C3⋊#95C2311yescharacteristic
413C3⋊#95C2311yescharacteristic
414C3⋊#95C2311yescharacteristic
415C3⋊#95C2311yescharacteristic
416C3⋊#95C2311yescharacteristic
417C23×D4C2×D311yescharacteristic
418C24×C4C2×D311yescharacteristic
419#552—68no—
420C2×#126—31no—
421C2×#126—31no—
422C2×#125—31no—
423C2×#125—31no—
424C2×#125—31no—
425C2×#123—28no—
426C2×#123—31no—
427C2×#123—31no—
428C2×#123C2×D311yescharacteristic
429C2×#123C2×D311yescharacteristic
430C2×#123C2×D311yescharacteristic
431C2×#123C2×D311yescharacteristic
432C2×#123C2×D311yescharacteristic
433C2×#123C2×D311yescharacteristic
434C2×#123C2×D311yescharacteristic
435C2×#123C2×D311yescharacteristic
436C2×C22⋊Q8—31no—
437C2×C22⋊Q8—31no—
438C2×C22⋊Q8—31no—
439C2×C4×Q8—31no—
440C2×C4×D4—31no—
441C2×C4×D4—31no—
442C2×#117—31no—
443C2×#117—31no—
444C2×#117—31no—
445C2×#117—31no—
446C22×C4⋊C4—31no—
447C22×C4⋊C4—31no—
448C22×C4⋊C4C2×D311yescharacteristic
449C22×C4⋊C4C2×D311yescharacteristic
450C22×C22⋊C4—31no—
451C22×C22⋊C4—31no—
452C22×C22⋊C4—31no—
453C22×C22⋊C4C2×D311yescharacteristic
454C22×C22⋊C4C2×D311yescharacteristic
455C22×C22⋊C4C2×D311yescharacteristic
456#400—31no—
457#400—31no—
458#400—31no—
459#400—31no—
460#399—31no—
461#399—31no—
462#398—31no—
463#398—31no—
464#398—31no—
465#398—31no—
466#398—31no—
467#398—31no—
468#398—31no—
469#398—31no—
470#397—31no—
471#397—31no—
472#397—31no—
473#397—31no—
474#397—31no—
475#397—31no—
476#396—31no—
477#396—31no—
478#396—31no—
479#396—31no—
480#396—31no—
481#396—31no—
482#394—31no—
483#394—31no—
484#394—31no—
485#394—31no—
486#393—31no—
487#393—31no—
488#391—31no—
489#390—31no—
490#390—31no—
491#389—31no—
492#389—31no—
493#389—31no—
494#389—31no—
495#389—31no—
496#389—31no—
497#389—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#388—31no—
508#388—31no—
509#388—31no—
510#388—31no—
511#388—31no—
512#387—31no—
513#387—31no—
514#387—31no—
515#387—31no—
516#387—31no—
517#387—31no—
518#386—31no—
519#386—31no—
520#386—31no—
521#386—31no—
522#386—31no—
523#386—31no—
524#385—31no—
525#385—31no—
526#385—31no—
527#385—31no—
528#385—31no—
529#385—31no—
530#385—31no—
531#385—31no—
532#385—31no—
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#382—31no—
543#381—31no—
544#381—31no—
545#381—31no—
546#381—31no—
547#380—31no—
548#380—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#379—31no—
558#379—31no—
559#379—31no—
560#379—31no—
561#379—31no—
562C4×C4⋊C4—31no—
563C4×C22⋊C4—31no—
564C4×C22⋊C4—31no—
565C4×C22⋊C4—31no—
566C4×C22⋊C4—31no—
567C4×C22⋊C4—31no—
568C4×C22⋊C4—31no—
569C4×C22⋊C4—31no—
570C4×C22⋊C4—31no—
571C4×C22⋊C4—31no—
572C2×#95—31no—
573C2×#95—31no—
574C24×C3—22no—
575C24×C3—22no—
576C24×C3—22no—
577C24×C3—22no—
578C24×C3—22no—
579C24×C3—22no—
580C24×C3—22no—
581C24×C3—22no—
582C24×C3—41no—
583C24×C3—41no—
584C24×C3—41no—
585C24×C3—41no—
586C24×C3—41no—
587C24×C3#4114yes—
588C24×C3C2411yescharacteristic
589C24×C3C2411yescharacteristic
590C24×C3C2411yescharacteristic
591C24×C3C2411yescharacteristic
592C24×C3C2411yescharacteristic
593C2×C3×D4—22no—
594C2×C3×D4—22no—
595C2×C3×D4—22no—
596C2×C3×D4—22no—
597C2×C3×D4—22no—
598C2×C3×D4—22no—
599C2×C3×D4—22no—
600C2×C3×D4—22no—
601C2×C3×D4—22no—
602C2×C3×D4—41no—
603C2×C3×D4—41no—
604C2×C3×D4—416no—
605C2×C3×D4C2×D414yes—
606C22×C3×C4—22no—
607C22×C3×C4—22no—
608C22×C3×C4—22no—
609C22×C3×C4—22no—
610C22×C3×C4—22no—
611C22×C3×C4—22no—
612C22×C3×C4—22no—
613C22×C3×C4—22no—
614C22×C3×C4—22no—
615C22×C3×C4—22no—
616C22×C3×C4—22no—
617C22×C3×C4—22no—
618C22×C3×C4—22no—
619C22×C3×C4—22no—
620C22×C3×C4—22no—
621C22×C3×C4—22no—
622C22×C3×C4—22no—
623C22×C3×C4—22no—
624C22×C3×C4—22no—
625C22×C3×C4—41no—
626C22×C3×C4—41no—
627C22×C3×C4—41no—
628C22×C3×C4—41no—
629C22×C3×C4—41no—
630C22×C3×C4—41no—
631C22×C3×C4—41no—
632C22×C3×C4—416no—
633C22×C3×C4C2×D414yes—
634C22×C3×C4C2411yescharacteristic
635C22×C3×C4C2411yescharacteristic
636C22×C3×C4C2411yescharacteristic
637C22×C3×C4C2411yescharacteristic
638C22×C3×C4C2411yescharacteristic
639C22×C3×C4C2411yescharacteristic
640C22×C3×C4C2411yescharacteristic
641C22×C3×C4C2411yescharacteristic
642C22×C3×C4C2411yescharacteristic
643C22×C3×C4C2411yescharacteristic
644C22×Dic3—22no—
645C22×Dic3—22no—
646C22×Dic3—22no—
647C22×Dic3—22no—
648C22×Dic3—22no—
649C22×Dic3—22no—
650C22×Dic3—22no—
651C22×Dic3—22no—
652C22×Dic3—22no—
653C22×Dic3—22no—
654C22×Dic3—22no—
655C22×Dic3—41no—
656C22×Dic3—41no—
657C22×Dic3—41no—
658C22×Dic3—41no—
659C22×Dic3—41no—
660C22×Dic3—41no—
661C22×Dic3—41no—
662C22×Dic3C2411yescharacteristic
663C22×Dic3C2411yescharacteristic
664C22×Dic3C2411yescharacteristic
665C22×Dic3C2411yescharacteristic
666C22×Dic3C2411yescharacteristic
667C22×Dic3C2411yescharacteristic
668C22×Dic3C2411yescharacteristic
669C22×Dic3C2411yescharacteristic
670C22×Dic3C2411yescharacteristic
671C22×Dic3C2411yescharacteristic
672C22×Dic3C2411yescharacteristic
673C22×Dic3C2411yescharacteristic
674C22×Dic3C2411yescharacteristic
675C22×Dic3C2411yescharacteristic
676C22×Dic3C2411yescharacteristic
677C22×Dic3C2411yescharacteristic
678C2×Dic6—22no—
679C2×Dic6—22no—
680C2×Dic6—41no—
681C3×C4⋊C4—22no—
682C3×C4⋊C4—22no—
683C3×C4⋊C4—22no—
684C3×C4⋊C4—22no—
685C3×C4⋊C4—22no—
686C3×C4⋊C4—22no—
687C3×C4⋊C4C2×D414yes—
688C3×C4⋊C4C2×D414yes—
689C3×C22⋊C4—22no—
690C3×C22⋊C4—22no—
691C3×C22⋊C4—22no—
692C3×C22⋊C4—22no—
693C3×C22⋊C4—22no—
694C3×C22⋊C4—22no—
695C3×C22⋊C4—22no—
696C3×C22⋊C4—22no—
697C3×C22⋊C4—22no—
698C3×C22⋊C4C2×D414yes—
699C3×C22⋊C4C2×D414yes—
700C3×C22⋊C4C2×D414yes—
701#217—22no—
702#217—22no—
703#217—22no—
704#217—22no—
705#217—22no—
706#217—22no—
707#217—22no—
708#217—22no—
709#217—22no—
710#217—22no—
711#217—22no—
712#217—22no—
713#217—22no—
714#217—22no—
715#217—22no—
716#217—22no—
717#217—22no—
718#217—22no—
719#217—22no—
720#217—22no—
721#217—41no—
722#217—41no—
723#217—41no—
724#217—41no—
725#217—41no—
726#217—41no—
727#217—41no—
728#217—41no—
729#217—41no—
730#217—41no—
731#217—41no—
732#217—41no—
733#217—41no—
734#217#4114yes—
735C4⋊Dic3—22no—
736C4⋊Dic3—22no—
737C4⋊Dic3—22no—
738C4⋊Dic3—22no—
739C4⋊Dic3—22no—
740C4⋊Dic3—41no—
741C4⋊Dic3—41no—
742C4⋊Dic3—41no—
743C4⋊Dic3—41no—
744Dic3⋊C4—22no—
745Dic3⋊C4—22no—
746Dic3⋊C4—22no—
747Dic3⋊C4—22no—
748Dic3⋊C4—22no—
749Dic3⋊C4—22no—
750Dic3⋊C4—22no—
751Dic3⋊C4—22no—
752Dic3⋊C4—22no—
753Dic3⋊C4—22no—
754Dic3⋊C4—22no—
755Dic3⋊C4—22no—
756Dic3⋊C4—41no—
757Dic3⋊C4—41no—
758Dic3⋊C4—41no—
759Dic3⋊C4—41no—
760Dic3⋊C4—41no—
761Dic3⋊C4—41no—
762Dic3⋊C4—41no—
763Dic3⋊C4—41no—
764Dic3⋊C4—41no—
765Dic3⋊C4—41no—
766C4×Dic3—22no—
767C4×Dic3—22no—
768C4×Dic3—22no—
769C4×Dic3—22no—
770C4×Dic3—22no—
771C4×Dic3—41no—
772C4×Dic3—41no—
773C4×Dic3—41no—
774C4×Dic3—41no—
775C4×Dic3—41no—
776C25C22×D311yescharacteristic
777C25C22×D311yescharacteristic
778C22×Q8—31no—
779C22×D4—24no—
780C22×D4—24no—
781C22×D4—42no—
782C22×D4C22×D311yescharacteristic
783C22×D4C22×D311yescharacteristic
784C22×D4C22×D311yescharacteristic
785C22×D4C22×D311yescharacteristic
786C23×C4—24no—
787C23×C4—24no—
788C23×C4—31no—
789C23×C4—31no—
790C23×C4—31no—
791C23×C4—31no—
792C23×C4—31no—
793C23×C4—31no—
794C23×C4—42no—
795C23×C4C22×D311yescharacteristic
796C23×C4C22×D311yescharacteristic
797C23×C4C22×D311yescharacteristic
798C23×C4C22×D311yescharacteristic
799C23×C4C22×D311yescharacteristic
800C23×C4C22×D311yescharacteristic
801C23×C4C22×D311yescharacteristic
802C23×C4C22×D311yescharacteristic
803C23×C4C22×D311yescharacteristic
804#126—64no—
805#126—64no—
806#125—64no—
807#125—64no—
808#125—64no—
809#123—24no—
810#123—24no—
811#123—24no—
812#123—24no—
813#123—24no—
814#123—24no—
815#123—24no—
816#123—64no—
817#123—122no—
818#123#6718yes—
819C22⋊Q8—64no—
820C22⋊Q8—64no—
821C22⋊Q8—64no—
822C4×Q8—64no—
823C4×D4—64no—
824C4×D4—122no—
825#117—64no—
826#117—64no—
827#117—64no—
828#117—122no—
829C2×C4⋊C4—24no—
830C2×C4⋊C4—24no—
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—31no—
862C2×C4⋊C4—64no—
863C2×C4⋊C4—122no—
864C2×C4⋊C4C22×D311yescharacteristic
865C2×C4⋊C4C22×D311yescharacteristic
866C2×C4⋊C4C22×D311yescharacteristic
867C2×C4⋊C4C22×D311yescharacteristic
868C2×C4⋊C4C22×D311yescharacteristic
869C2×C4⋊C4C22×D311yescharacteristic
870C2×C4⋊C4C22×D311yescharacteristic
871C2×C4⋊C4C22×D311yescharacteristic
872C2×C22⋊C4—24no—
873C2×C22⋊C4—24no—
874C2×C22⋊C4—24no—
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⋊C4—31no—
898C2×C22⋊C4—31no—
899C2×C22⋊C4—31no—
900C2×C22⋊C4—31no—
901C2×C22⋊C4—31no—
902C2×C22⋊C4—31no—
903C2×C22⋊C4—31no—
904C2×C22⋊C4—31no—
905C2×C22⋊C4—31no—
906C2×C22⋊C4—31no—
907C2×C22⋊C4—31no—
908C2×C22⋊C4—31no—
909C2×C22⋊C4—64no—
910C2×C22⋊C4—64no—
911C2×C22⋊C4—64no—
912C2×C22⋊C4C22×D311yescharacteristic
913C2×C22⋊C4C22×D311yescharacteristic
914C2×C22⋊C4C22×D311yescharacteristic
915C2×C22⋊C4C22×D311yescharacteristic
916C2×C22⋊C4C22×D311yescharacteristic
917C2×C22⋊C4C22×D311yescharacteristic
918C2×C22⋊C4C22×D311yescharacteristic
919C2×C22⋊C4C22×D311yescharacteristic
920C2×C22⋊C4C22×D311yescharacteristic
921C2×C22⋊C4C22×D311yescharacteristic
922C2×C22⋊C4C22×D311yescharacteristic
923C2×C22⋊C4C22×D311yescharacteristic
924C2×C42—31no—
925C2×C42—31no—
926C2×C42—31no—
927C2×C42—31no—
928C2×C42—31no—
929C2×C42—31no—
930C2×C42—31no—
931C2×C42—31no—
932C2×C42—31no—
933C2×C42—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#95—31no—
959#95—31no—
960#95—31no—
961#95—31no—
962#95—31no—
963#95—31no—
964#95—31no—
965#95—31no—
966#95—31no—
967#95—31no—
968#95—31no—
969#95—31no—
970#95—31no—
971#95—31no—
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—28no—
981C23×C3—28no—
982C23×C3—21no—
983C23×C3—21no—
984C23×C3—21no—
985C23×C3—21no—
986C23×C3—21no—
987C23×C3—21no—
988C23×C3—21no—
989C23×C3—21no—
990C23×C3—21no—
991C23×C3—21no—
992C23×C3—21no—
993C23×C3—21no—
994C23×C3—21no—
995C23×C3—21no—
996C23×C3—21no—
997C23×C3—21no—
998C23×C3—21no—
999C23×C3—21no—
1000C23×C3—21no—
1001C23×C3—44no—
1002C23×C3—44no—
1003C23×C3—44no—
1004C23×C3—44no—
1005C23×C3—44no—
1006C23×C3—44no—
1007C23×C3—44no—
1008C23×C3—44no—
1009C23×C3—44no—
1010C23×C3—82no—
1011C23×C3—82no—
1012C23×C3—82no—
1013C23×C3C22×D412yes—
1014C23×C3C22×D412yes—
1015C23×C3C2×#4112yes—
1016C23×C3C2×#4112yes—
1017C23×C3C2×#4112yes—
1018C23×C3C2×#4112yes—
1019C23×C3H(5,𝔽2)12yes—
1020C23×C32−1+412yes—
1021C23×C3C2511yescharacteristic
1022C3×D4—28no—
1023C3×D4—44no—
1024C3×D4—44no—
1025C3×D4—44no—
1026C2×C3×C4—28no—
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×C4—21no—
1040C2×C3×C4—21no—
1041C2×C3×C4—21no—
1042C2×C3×C4—21no—
1043C2×C3×C4—21no—
1044C2×C3×C4—21no—
1045C2×C3×C4—21no—
1046C2×C3×C4—21no—
1047C2×C3×C4—21no—
1048C2×C3×C4—21no—
1049C2×C3×C4—21no—
1050C2×C3×C4—21no—
1051C2×C3×C4—21no—
1052C2×C3×C4—44no—
1053C2×C3×C4—44no—
1054C2×C3×C4—44no—
1055C2×C3×C4—44no—
1056C2×C3×C4—44no—
1057C2×C3×C4—44no—
1058C2×C3×C4—44no—
1059C2×C3×C4—44no—
1060C2×C3×C4C22×D412yes—
1061C2×C3×C4C22×D412yes—
1062C2×C3×C4C22×D412yes—
1063C2×C3×C4C22×D412yes—
1064C2×C3×C4C22×D412yes—
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—21no—
1087C2×Dic3—21no—
1088C2×Dic3—21no—
1089C2×Dic3—21no—
1090C2×Dic3—21no—
1091C2×Dic3—21no—
1092C2×Dic3—21no—
1093C2×Dic3—21no—
1094C2×Dic3—21no—
1095C2×Dic3—21no—
1096C2×Dic3—21no—
1097C2×Dic3—21no—
1098C2×Dic3—21no—
1099C2×Dic3—21no—
1100C2×Dic3—21no—
1101C2×Dic3—21no—
1102C2×Dic3—21no—
1103C2×Dic3—21no—
1104C2×Dic3—21no—
1105C2×Dic3—21no—
1106C2×Dic3—21no—
1107C2×Dic3—21no—
1108C2×Dic3—21no—
1109C2×Dic3—21no—
1110C2×Dic3—21no—
1111C2×Dic3—44no—
1112C2×Dic3—44no—
1113C2×Dic3—44no—
1114C2×Dic3—44no—
1115C2×Dic3—82no—
1116C2×Dic3—82no—
1117C2×Dic3C2×#4112yes—
1118C2×Dic3C2×#4112yes—
1119Dic6—44no—
1120C24—22no—
1121C24—22no—
1122C24—22no—
1123C24—22no—
1124C24—22no—
1125C24—22no—
1126C24—22no—
1127C24—22no—
1128C24—41no—
1129C24—41no—
1130C24—41no—
1131C24—41no—
1132C24—41no—
1133C24#23714yes—
1134C24C23×D311yescharacteristic
1135C24C23×D311yescharacteristic
1136C24C23×D311yescharacteristic
1137C24C23×D311yescharacteristic
1138C24C23×D311yescharacteristic
1139C2×Q8—62no—
1140C2×Q8—62no—
1141C2×Q8—121no—
1142C2×D4—22no—
1143C2×D4—22no—
1144C2×D4—22no—
1145C2×D4—22no—
1146C2×D4—22no—
1147C2×D4—22no—
1148C2×D4—22no—
1149C2×D4—22no—
1150C2×D4—22no—
1151C2×D4—41no—
1152C2×D4—41no—
1153C2×D4—416no—
1154C2×D4C2×#6714yes—
1155C22×C4—22no—
1156C22×C4—22no—
1157C22×C4—22no—
1158C22×C4—22no—
1159C22×C4—22no—
1160C22×C4—22no—
1161C22×C4—22no—
1162C22×C4—22no—
1163C22×C4—22no—
1164C22×C4—22no—
1165C22×C4—22no—
1166C22×C4—22no—
1167C22×C4—22no—
1168C22×C4—22no—
1169C22×C4—22no—
1170C22×C4—22no—
1171C22×C4—22no—
1172C22×C4—22no—
1173C22×C4—22no—
1174C22×C4—31no—
1175C22×C4—31no—
1176C22×C4—31no—
1177C22×C4—31no—
1178C22×C4—31no—
1179C22×C4—31no—
1180C22×C4—31no—
1181C22×C4—31no—
1182C22×C4—31no—
1183C22×C4—31no—
1184C22×C4—31no—
1185C22×C4—31no—
1186C22×C4—31no—
1187C22×C4—31no—
1188C22×C4—31no—
1189C22×C4—31no—
1190C22×C4—41no—
1191C22×C4—41no—
1192C22×C4—41no—
1193C22×C4—41no—
1194C22×C4—41no—
1195C22×C4—41no—
1196C22×C4—41no—
1197C22×C4—416no—
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—121no—
1210C22×C4—121no—
1211C22×C4—121no—
1212C22×C4—121no—
1213C22×C4—121no—
1214C22×C4—121no—
1215C22×C4—121no—
1216C22×C4C2×#6714yes—
1217C22×C4C23×D311yescharacteristic
1218C22×C4C23×D311yescharacteristic
1219C22×C4C23×D311yescharacteristic
1220C22×C4C23×D311yescharacteristic
1221C22×C4C23×D311yescharacteristic
1222C22×C4C23×D311yescharacteristic
1223C22×C4C23×D311yescharacteristic
1224C22×C4C23×D311yescharacteristic
1225C22×C4C23×D311yescharacteristic
1226C22×C4C23×D311yescharacteristic
1227C4⋊C4—22no—
1228C4⋊C4—22no—
1229C4⋊C4—22no—
1230C4⋊C4—22no—
1231C4⋊C4—22no—
1232C4⋊C4—22no—
1233C4⋊C4—62no—
1234C4⋊C4—62no—
1235C4⋊C4—62no—
1236C4⋊C4—62no—
1237C4⋊C4—62no—
1238C4⋊C4—62no—
1239C4⋊C4—62no—
1240C4⋊C4—62no—
1241C4⋊C4—62no—
1242C4⋊C4—62no—
1243C4⋊C4—62no—
1244C4⋊C4—62no—
1245C4⋊C4—62no—
1246C4⋊C4—62no—
1247C4⋊C4—62no—
1248C4⋊C4—62no—
1249C4⋊C4—62no—
1250C4⋊C4—121no—
1251C4⋊C4—121no—
1252C4⋊C4—121no—
1253C4⋊C4—121no—
1254C4⋊C4—121no—
1255C4⋊C4—121no—
1256C4⋊C4—121no—
1257C4⋊C4—121no—
1258C4⋊C4—121no—
1259C4⋊C4—121no—
1260C4⋊C4—121no—
1261C4⋊C4—121no—
1262C4⋊C4—121no—
1263C4⋊C4—121no—
1264C4⋊C4C2×#6714yes—
1265C4⋊C4C2×#6714yes—
1266C22⋊C4—22no—
1267C22⋊C4—22no—
1268C22⋊C4—22no—
1269C22⋊C4—22no—
1270C22⋊C4—22no—
1271C22⋊C4—22no—
1272C22⋊C4—22no—
1273C22⋊C4—22no—
1274C22⋊C4—22no—
1275C22⋊C4—34no—
1276C22⋊C4—62no—
1277C22⋊C4—62no—
1278C22⋊C4—62no—
1279C22⋊C4—62no—
1280C22⋊C4—62no—
1281C22⋊C4—62no—
1282C22⋊C4—62no—
1283C22⋊C4—62no—
1284C22⋊C4—62no—
1285C22⋊C4—62no—
1286C22⋊C4—62no—
1287C22⋊C4—62no—
1288C22⋊C4—62no—
1289C22⋊C4—62no—
1290C22⋊C4—62no—
1291C22⋊C4—62no—
1292C22⋊C4—62no—
1293C22⋊C4—62no—
1294C22⋊C4—62no—
1295C22⋊C4—62no—
1296C22⋊C4—121no—
1297C22⋊C4—121no—
1298C22⋊C4—121no—
1299C22⋊C4—121no—
1300C22⋊C4—121no—
1301C22⋊C4—121no—
1302C22⋊C4—121no—
1303C22⋊C4—121no—
1304C22⋊C4—121no—
1305C22⋊C4—121no—
1306C22⋊C4—121no—
1307C22⋊C4—121no—
1308C22⋊C4—121no—
1309C22⋊C4C2×#6714yes—
1310C22⋊C4C2×#6714yes—
1311C22⋊C4C2×#6714yes—
1312C42—62no—
1313C42—62no—
1314C42—62no—
1315C42—62no—
1316C42—62no—
1317C42—121no—
1318C42—121no—
1319C42—121no—
1320C42—121no—
1321C42—121no—
1322C22×C3—22no—
1323C22×C3—22no—
1324C22×C3—22no—
1325C22×C3—22no—
1326C22×C3—22no—
1327C22×C3—22no—
1328C22×C3—22no—
1329C22×C3—22no—
1330C22×C3—22no—
1331C22×C3—22no—
1332C22×C3—22no—
1333C22×C3—22no—
1334C22×C3—22no—
1335C22×C3—22no—
1336C22×C3—22no—
1337C22×C3—22no—
1338C22×C3—22no—
1339C22×C3—22no—
1340C22×C3—416no—
1341C22×C3—41no—
1342C22×C3—41no—
1343C22×C3—41no—
1344C22×C3—41no—
1345C22×C3—41no—
1346C22×C3—41no—
1347C22×C3—41no—
1348C22×C3—41no—
1349C22×C3—41no—
1350C22×C3—41no—
1351C22×C3—41no—
1352C22×C3—41no—
1353C22×C3—41no—
1354C22×C3—41no—
1355C22×C3—41no—
1356C22×C3—88no—
1357C22×C3#54614yes—
1358C22×C3#55214yescomplemented
1359C22×C3C23×D411yescharacteristic
1360C22×C3C22×#4111yescharacteristic
1361C22×C3C22×#4111yescharacteristic
1362C22×C3C2×H(5,𝔽2)11yescharacteristic
1363C22×C3C2×2−1+411yescharacteristic
1364C22×C3#58511yescharacteristic
1365C22×C3#58511yescharacteristic
1366C3×C4—22no—
1367C3×C4—22no—
1368C3×C4—22no—
1369C3×C4—22no—
1370C3×C4—22no—
1371C3×C4—41no—
1372C3×C4—41no—
1373C3×C4—41no—
1374C3×C4—41no—
1375C3×C4—41no—
1376Dic3—22no—
1377Dic3—22no—
1378Dic3—41no—
1379Dic3—41no—
1380Dic3—41no—
1381Dic3—41no—
1382Dic3—41no—
1383Dic3—41no—
1384Dic3—41no—
1385Dic3—41no—
1386Dic3—41no—
1387Dic3—41no—
1388Dic3—41no—
1389Dic3—41no—
1390Dic3—41no—
1391Dic3—41no—
1392C23—21no—
1393C23—21no—
1394C23—21no—
1395C23—21no—
1396C23—21no—
1397C23—21no—
1398C23—21no—
1399C23—21no—
1400C23—28no—
1401C23—21no—
1402C23—21no—
1403C23—21no—
1404C23—21no—
1405C23—21no—
1406C23—21no—
1407C23—21no—
1408C23—21no—
1409C23—21no—
1410C23—21no—
1411C23—21no—
1412C23—21no—
1413C23—28no—
1414C23—21no—
1415C23—21no—
1416C23—21no—
1417C23—21no—
1418C23—21no—
1419C23—21no—
1420C23—21no—
1421C23—44no—
1422C23—44no—
1423C23—44no—
1424C23—44no—
1425C23—44no—
1426C23—44no—
1427C23—44no—
1428C23—44no—
1429C23—44no—
1430C23—82no—
1431C23—82no—
1432C23—82no—
1433C23C2×#23712yes—
1434C23C2×#23712yes—
1435C23C2×#23712yes—
1436C23#100412yes—
1437C23D3×#4112yes—
1438C23#101012yes—
1439C23C22×#6712yes—
1440C23C22×#6712yes—
1441C23C24×D311yescharacteristic
1442Q8—124no—
1443D4—28no—
1444D4—44no—
1445D4—44no—
1446D4—44no—
1447C2×C4—21no—
1448C2×C4—21no—
1449C2×C4—21no—
1450C2×C4—21no—
1451C2×C4—21no—
1452C2×C4—21no—
1453C2×C4—21no—
1454C2×C4—21no—
1455C2×C4—21no—
1456C2×C4—21no—
1457C2×C4—28no—
1458C2×C4—21no—
1459C2×C4—21no—
1460C2×C4—21no—
1461C2×C4—21no—
1462C2×C4—21no—
1463C2×C4—21no—
1464C2×C4—21no—
1465C2×C4—21no—
1466C2×C4—21no—
1467C2×C4—21no—
1468C2×C4—21no—
1469C2×C4—21no—
1470C2×C4—21no—
1471C2×C4—21no—
1472C2×C4—21no—
1473C2×C4—32no—
1474C2×C4—32no—
1475C2×C4—44no—
1476C2×C4—44no—
1477C2×C4—44no—
1478C2×C4—44no—
1479C2×C4—44no—
1480C2×C4—44no—
1481C2×C4—44no—
1482C2×C4—44no—
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—61no—
1501C2×C4—61no—
1502C2×C4—61no—
1503C2×C4—61no—
1504C2×C4—61no—
1505C2×C4—61no—
1506C2×C4—61no—
1507C2×C4—61no—
1508C2×C4—61no—
1509C2×C4—61no—
1510C2×C4—61no—
1511C2×C4—61no—
1512C2×C4—61no—
1513C2×C4—61no—
1514C2×C4—61no—
1515C2×C4—61no—
1516C2×C4—61no—
1517C2×C4—61no—
1518C2×C4—61no—
1519C2×C4—61no—
1520C2×C4—61no—
1521C2×C4—61no—
1522C2×C4—61no—
1523C2×C4—61no—
1524C2×C4—61no—
1525C2×C4—61no—
1526C2×C4—61no—
1527C2×C4—61no—
1528C2×C4—61no—
1529C2×C4—124no—
1530C2×C4—124no—
1531C2×C4—124no—
1532C2×C4—124no—
1533C2×C4—242no—
1534C2×C4—242no—
1535C2×C4C22×#6712yes—
1536C2×C4C22×#6712yes—
1537C2×C4C22×#6712yes—
1538C2×C4C22×#6712yes—
1539C2×C4C22×#6712yes—
1540C2×C3—24no—
1541C2×C3—24no—
1542C2×C3—42no—
1543C2×C3—42no—
1544C2×C3—81no—
1545C2×C3C2×#54611yescharacteristic
1546C2×C3D4×#4111yescharacteristic
1547C2×C3C2×#55211yescharacteristic
1548C2×C3#348911yescharacteristic
1549C2×C3#349111yescharacteristic
1550C2×C3#351311yescharacteristic
1551C2×C3#353511yescharacteristic
1552C22—22no—
1553C22—22no—
1554C22—22no—
1555C22—22no—
1556C22—22no—
1557C22—22no—
1558C22—22no—
1559C22—22no—
1560C22—22no—
1561C22—22no—
1562C22—22no—
1563C22—22no—
1564C22—22no—
1565C22—22no—
1566C22—22no—
1567C22—22no—
1568C22—22no—
1569C22—22no—
1570C22—416no—
1571C22—41no—
1572C22—41no—
1573C22—41no—
1574C22—41no—
1575C22—41no—
1576C22—41no—
1577C22—41no—
1578C22—41no—
1579C22—41no—
1580C22—41no—
1581C22—41no—
1582C22—41no—
1583C22—41no—
1584C22—41no—
1585C22—41no—
1586C22—88no—
1587C22#565014yescomplemented
1588C22#580614yes—
1589C22C22×#23711yescharacteristic
1590C22C2×#100411yescharacteristic
1591C22C2×D3×#4111yescharacteristic
1592C22C2×#101011yescharacteristic
1593C22#596411yescharacteristic
1594C22#596411yescharacteristic
1595C22C23×#6711yescharacteristic
1596C4—22no—
1597C4—22no—
1598C4—22no—
1599C4—22no—
1600C4—22no—
1601C4—41no—
1602C4—41no—
1603C4—41no—
1604C4—41no—
1605C4—41no—
1606C4—62no—
1607C4—62no—
1608C4—121no—
1609C4—121no—
1610C4—121no—
1611C4—121no—
1612C4—121no—
1613C4—121no—
1614C4—121no—
1615C4—121no—
1616C4—121no—
1617C4—121no—
1618C4—121no—
1619C4—121no—
1620C4—121no—
1621C4—121no—
1622C3#5901211yescharacteristic, complemented, Sylow
1623C2—24no—
1624C2—24no—
1625C2—42no—
1626C2—42no—
1627C2—81no—
1628C2C2×#565011yescharacteristic
1629C2#8600111yescharacteristic
1630C2#8600311yescharacteristic
1631C2#8601311yescharacteristic
1632C2C2×#580611yescharacteristic
1633C2#8726411yescharacteristic
1634C2#41×#6711yescharacteristic
subgroupG/H
center, FrattiniC23C24×D3
commutator, socle, cosocleC23×C3C25
FittingC22×C3×#123C2
prime radicalC23×C3×D4C22
hypercenterC22×#123D3
hypocenterC3#59012
LCSG ▷ C23×C3 ▷ C3
UCSC1 ◁ C23 ◁ C22×#123

Complements

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

NH ≅ G/Ntype
2. C2×#5650C2semidirect
5. C2×#5210C2semidirect
6. #84027C2semidirect
7. #82883C2semidirect
8. #82877C2semidirect
9. #82876C2semidirect
10. #82874C2semidirect
11. #82863C2semidirect
12. #82860C2semidirect
13. #82858C2semidirect
14. #82857C2semidirect
15. #82856C2semidirect
16. #82854C2semidirect
17. #82851C2semidirect
18. #82844C2semidirect
19. #82843C2semidirect
20. #82842C2semidirect
21. #82838C2semidirect
22. #82174C2semidirect
23. #82174C2semidirect
24. #82172C2semidirect
25. #82162C2semidirect
26. #82112C2semidirect
27. #82112C2semidirect
28. #82110C2semidirect
29. #82110C2semidirect
30. #82098C2semidirect
31. #82098C2semidirect
56. C2×#926C22semidirect
57. C2×#926C22semidirect
59. C22×Dic3⋊C4C22semidirect
60. C22×Dic3⋊C4C22semidirect
62. C2×#890C22semidirect
63. C2×#889C22semidirect
64. C2×#889C22semidirect
65. C2×#887C22semidirect
66. C2×#879C22semidirect
67. C2×#879C22semidirect
68. C2×#878C22semidirect
69. C2×#878C22semidirect
70. C2×#877C22semidirect
71. C2×#877C22semidirect
93. #5212C22semidirect
94. #5212C22semidirect
95. #5211C22semidirect
96. #5211C22semidirect
107. #5210C22semidirect
108. #5210C22semidirect
109. #5210C22semidirect
110. #5210C22semidirect
116. C4×#217C22semidirect
117. C4×#217C22semidirect
118. C2×C3⋊#95C22semidirect
119. C2×C3⋊#95C22semidirect
120. #4986C22semidirect
121. #4986C22semidirect
122. #4985C22semidirect
123. #4985C22semidirect
124. #4984C22semidirect
125. #4983C22semidirect
126. #4983C22semidirect
127. #4982C22semidirect
128. #4982C22semidirect
129. #4982C22semidirect
130. #4982C22semidirect
131. #4981C22semidirect
132. #4981C22semidirect
133. #4980C22semidirect
134. #4980C22semidirect
135. #4978C22semidirect
136. #4978C22semidirect
137. #4978C22semidirect
138. #4978C22semidirect
139. #4977C22semidirect
140. #4976C22semidirect
141. #4976C22semidirect
142. #4976C22semidirect
143. #4976C22semidirect
144. Dic3×C4⋊C4C22semidirect
145. #4973C22semidirect
146. #4972C22semidirect
147. #4972C22semidirect
148. #4953C22semidirect
149. #4953C22semidirect
150. #4952C22semidirect
151. #4952C22semidirect
152. #4952C22semidirect
153. #4952C22semidirect
154. #4951C22semidirect
155. #4951C22semidirect
156. #4950C22semidirect
157. #4950C22semidirect
158. #4949C22semidirect
159. #4949C22semidirect
160. #4948C22semidirect
161. #4948C22semidirect
162. #4948C22semidirect
163. #4948C22semidirect
164. #4948C22semidirect
165. #4948C22semidirect
166. #4947C22semidirect
167. #4947C22semidirect
168. #4946C22semidirect
169. #4946C22semidirect
170. #4945C22semidirect
171. #4945C22semidirect
172. #4945C22semidirect
173. #4945C22semidirect
174. #4945C22semidirect
175. #4945C22semidirect
176. #4944C22semidirect
177. #4944C22semidirect
178. #4944C22semidirect
179. #4944C22semidirect
180. #4944C22semidirect
181. #4944C22semidirect
182. #4943C22semidirect
183. #4943C22semidirect
184. #4942C22semidirect
185. #4942C22semidirect
186. #4942C22semidirect
187. #4942C22semidirect
188. Dic3×C22⋊C4C22semidirect
189. Dic3×C22⋊C4C22semidirect
1358. C22×C3#552semidirect
1587. C22#5650semidirect
1622. C3#59012semidirect

Maximal subgroups

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

subgroupindex
C22×C3×#1232
C2×#56502
#840472
D4×#2172
C2×#52102
#840272
#828832
#828772
#828762
#828742
#828632
#828602
#828582
#828572
#828562
#828542
#828512
#828442
#828432
#828422
#828382
#821742
#821722
#821622
#821122
#821102
#820982
#590123