Finite Group Databasebeta

← #11026008

Subgroups — #11026008

Order 768.

2432 conjugacy classes of subgroups.

The subgroup lattice has 1734 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#5691C211yesmaximal, characteristic, complemented
2C2×#5617C211yesmaximal, characteristic, complemented
3C3×#2711C211yesmaximal, characteristic, complemented
4#83053C211yesmaximal, characteristic, complemented
5#82648C211yesmaximal, characteristic, complemented
6#78114C211yesmaximal, characteristic, complemented
7#78026C211yesmaximal, characteristic, complemented
8#77344C211yesmaximal, characteristic, complemented
9#77293C211yesmaximal, characteristic, complemented
10#77133C211yesmaximal, characteristic, complemented
11#77113C211yesmaximal, characteristic, complemented
12#77113C211yesmaximal, characteristic, complemented
13#76982C211yesmaximal, characteristic, complemented
14#76929C211yesmaximal, characteristic, complemented
15#76916C211yesmaximal, characteristic, complemented
16#76903C211yesmaximal, characteristic, complemented
17#76901C211yesmaximal, characteristic, complemented
18#76462C211yesmaximal, characteristic, complemented
19#76461C211yesmaximal, characteristic, complemented
20#76304C211yesmaximal, characteristic, complemented
21#76291C211yesmaximal, characteristic, complemented
22#75957C211yesmaximal, characteristic, complemented
23#75665C211yesmaximal, characteristic, complemented
24#75513C211yesmaximal, characteristic, complemented
25#75508C211yesmaximal, characteristic, complemented
26#75001C211yesmaximal, characteristic, complemented
27#74954C211yesmaximal, characteristic, complemented
28#74632C211yesmaximal, characteristic, complemented
29#74605C211yesmaximal, characteristic, complemented
30#74595C211yesmaximal, characteristic, complemented
31#74433C211yesmaximal, characteristic, complemented
32#37737—31nomaximal, Sylow
33C2×C3×#125C2211yescharacteristic, complemented
34C2×C3×#121C2211yescharacteristic
35C2×#940C2211yescharacteristic, complemented
36C2×#939C2211yescharacteristic
37C2×#939C2211yescharacteristic
38C2×#938C2211yescharacteristic
39C2×#938C2211yescharacteristic
40C2×#937C2211yescharacteristic
41C2×#937C2211yescharacteristic
42C2×D4×Dic3C2211yescharacteristic
43C2×D4×Dic3C2211yescharacteristic
44C2×#930C2211yescharacteristic
45C22×(C2×D3)⋊C4C2211yescharacteristic
46C2×#924C2211yescharacteristic
47#5691—28no—
48#5617—28no—
49C2×#898C2211yescharacteristic
50C2×#898C2211yescharacteristic
51C2×#898C2211yescharacteristic, complemented
52C2×#897C2211yescharacteristic, complemented
53C2×#896C2211yescharacteristic, complemented
54C2×#895C2211yescharacteristic
55C2×#894C2211yescharacteristic
56C2×#894C2211yescharacteristic, complemented
57C2×#893C2211yescharacteristic
58C2×#893C2211yescharacteristic
59C2×#893C2211yescharacteristic, complemented
60C2×#892C2211yescharacteristic
61C2×#892C2211yescharacteristic, complemented
62C2×#887C2211yescharacteristic, complemented
63C2×#886C2211yescharacteristic
64C2×#886C2211yescharacteristic
65C2×#885C2211yescharacteristic
66C2×#885C2211yescharacteristic
67C2×#885C2211yescharacteristic
68C2×#884C2211yescharacteristic
69C2×#884C2211yescharacteristic
70C2×#884C2211yescharacteristic
71C2×#882C2211yescharacteristic
72C2×#882C2211yescharacteristic
73C2×#67⋊C4C2211yescharacteristic
74C2×#67⋊C4C2211yescharacteristic, complemented
75C2×D3×C22⋊C4C2211yescharacteristic
76C2×#878C2211yescharacteristic, complemented
77C2×#875C2211yescharacteristic
78C2×C42×D3C2211yescharacteristic, complemented
79C3×#399C2211yescharacteristic, complemented
80C3×#396C2211yescharacteristic, complemented
81C3×#394C2211yescharacteristic
82C3×#394C2211yescharacteristic
83C3×#394C2211yescharacteristic, complemented
84C3×#394C2211yescharacteristic, complemented
85C3×#390C2211yescharacteristic
86C3×#390C2211yescharacteristic
87C3×#388C2211yescharacteristic, complemented
88C3×#388C2211yescharacteristic, complemented
89C3×#387C2211yescharacteristic, complemented
90C3×#385C2211yescharacteristic
91C3×#385C2211yescharacteristic
92#5223C2211yescharacteristic
93#5223C2211yescharacteristic
94#5221C2211yescharacteristic, complemented
95C4×#217C2211yescharacteristic
96#4994C2211yescharacteristic
97#4994C2211yescharacteristic
98#4994C2211yescharacteristic
99#4994C2211yescharacteristic, complemented
100#4992C2211yescharacteristic
101#4991C2211yescharacteristic
102#4991C2211yescharacteristic
103#4990C2211yescharacteristic
104#4990C2211yescharacteristic
105#4990C2211yescharacteristic
106#4988C2211yescharacteristic
107#4987C2211yescharacteristic
108#4987C2211yescharacteristic, complemented
109#4986C2211yescharacteristic, complemented
110#4984C2211yescharacteristic, complemented
111#4982C2211yescharacteristic, complemented
112#4980C2211yescharacteristic, complemented
113#4979C2211yescharacteristic, complemented
114#4978C2211yescharacteristic, complemented
115#4976C2211yescharacteristic, complemented
116Dic3×C4⋊C4C2211yescharacteristic, complemented
117#4972C2211yescharacteristic, complemented
118#4961C2211yescharacteristic
119#4961C2211yescharacteristic, complemented
120#4961C2211yescharacteristic, complemented
121#4960C2211yescharacteristic
122#4960C2211yescharacteristic
123#4960C2211yescharacteristic
124#4960C2211yescharacteristic
125#4960C2211yescharacteristic
126#4959C2211yescharacteristic
127#4959C2211yescharacteristic
128#4959C2211yescharacteristic
129#4959C2211yescharacteristic
130#4959C2211yescharacteristic, complemented
131#4958C2211yescharacteristic
132#4958C2211yescharacteristic, complemented
133#4958C2211yescharacteristic, complemented
134#4958C2211yescharacteristic, complemented
135#4957C2211yescharacteristic
136#4957C2211yescharacteristic
137#4957C2211yescharacteristic
138#4957C2211yescharacteristic, complemented
139#4956C2211yescharacteristic
140#4956C2211yescharacteristic
141#4956C2211yescharacteristic
142#4956C2211yescharacteristic, complemented
143#4956C2211yescharacteristic, complemented
144#4956C2211yescharacteristic, complemented
145#4956C2211yescharacteristic, complemented
146#4955C2211yescharacteristic
147#4951C2211yescharacteristic, complemented
148#4950C2211yescharacteristic
149#4950C2211yescharacteristic, complemented
150#4948C2211yescharacteristic
151#4948C2211yescharacteristic, complemented
152#4947C2211yescharacteristic
153#4945C2211yescharacteristic
154#4945C2211yescharacteristic
155#4945C2211yescharacteristic, complemented
156#4945C2211yescharacteristic, complemented
157Dic3×C22⋊C4C2211yescharacteristic
158Dic3×C22⋊C4C2211yescharacteristic, complemented
159Dic3×C22⋊C4C2211yescharacteristic, complemented
160#4940C2211yescharacteristic
161#4940C2211yescharacteristic
162#4939C2211yescharacteristic
163C4×(C2×D3)⋊C4C2211yescharacteristic, complemented
164C4×C4⋊Dic3C2211yescharacteristic, complemented
165#4928C2211yescharacteristic, complemented
166#4677C2211yescharacteristic, complemented
167#4673C2211yescharacteristic, complemented
168#4672C2211yescharacteristic
169#4672C2211yescharacteristic, complemented
170#4671C2211yescharacteristic
171#4670C2211yescharacteristic
172#4670C2211yescharacteristic
173#4670C2211yescharacteristic
174#4670C2211yescharacteristic, complemented
175#4670C2211yescharacteristic, complemented
176#4668C2211yescharacteristic
177#4668C2211yescharacteristic
178#4666C2211yescharacteristic
179#4665C2211yescharacteristic
180#4665C2211yescharacteristic
181#4665C2211yescharacteristic
182#4664C2211yescharacteristic
183#4656C2211yescharacteristic, complemented
184#4654C2211yescharacteristic, complemented
185#4653C2211yescharacteristic, complemented
186#4652C2211yescharacteristic, complemented
187#4650C2211yescharacteristic, complemented
188#4647C2211yescharacteristic, complemented
189#4646C2211yescharacteristic, complemented
190C2×#538—31no—
191C2×#529—31no—
192#2850—31no—
193#2725—31no—
194#2711D311yescharacteristic, complemented
195#2681—31no—
196#2678—31no—
197#2673—31no—
198#2672—31no—
199#2672—31no—
200#2670—31no—
201#2662—31no—
202#2636—31no—
203#2476—31no—
204#2471—31no—
205#2467—31no—
206#2465—31no—
207#2463—31no—
208#2461—31no—
209#2459—31no—
210#2457—31no—
211#2428—31no—
212#2428—31no—
213#2426—31no—
214#2424—31no—
215#2424—31no—
216#2424—31no—
217#2363—31no—
218#2342—31no—
219#2334—31no—
220C4×#121—31no—
221C24×D3C2311yescharacteristic
222C22×C3×D4C2311yescharacteristic
223C22×C3×D4C2311yescharacteristic
224C22×C3×D4C2311yescharacteristic
225C23×C3×C4C2311yescharacteristic
226C22×#67C2311yescharacteristic
227C22×#67C2311yescharacteristic
228C22×#67C2311yescharacteristic
229C22×#67C2311yescharacteristic
230C22×#67C2311yescharacteristic
231C22×#67C2311yescharacteristic
232C22×#67C2311yescharacteristic
233C22×#67C2311yescharacteristic
234C22×#67C2311yescharacteristic
235C22×#67C2311yescharacteristic
236C23×Dic3C2311yescharacteristic
237C23×Dic3C2311yescharacteristic
238C23×Dic3C2311yescharacteristic
239C22×D12C2311yescharacteristic
240C22×D12C2311yescharacteristic
241C22×D12C2311yescharacteristic
242C22×D12C2311yescharacteristic
243C22×D12C2311yescharacteristic
244C22×C4×D3C2311yescharacteristic
245C22×C4×D3C2311yescharacteristic
246C22×C4×D3C2311yescharacteristic
247C22×C4×D3C2311yescharacteristic
248C22×C4×D3C2311yescharacteristic
249C22×C4×D3C2311yescharacteristic
250C22×Dic6C2311yescharacteristic
251C22×Dic6C2311yescharacteristic
252C3×#125—24no—
253C3×#121—24no—
254C2×C3×C4⋊C4C2311yescharacteristic
255C2×C3×C4⋊C4C2311yescharacteristic
256C2×C3×C4⋊C4C2311yescharacteristic
257C2×C3×C4⋊C4C2311yescharacteristic
258C2×C3×C4⋊C4C2311yescharacteristic
259C2×C3×C4⋊C4C2311yescharacteristic
260C2×C3×C4⋊C4C2311yescharacteristic
261C2×C3×C4⋊C4C2311yescharacteristic
262C2×C3×C4⋊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×C22⋊C4C2311yescharacteristic
275C2×C3×C22⋊C4C2311yescharacteristic
276C2×C3×C22⋊C4C2311yescharacteristic
277C2×C3×C42C2311yescharacteristic
278C2×C3×C42C2311yescharacteristic
279C2×#217C2311yescharacteristic
280C2×#217C2311yescharacteristic
281C2×#217C2311yescharacteristic
282C2×#217C2311yescharacteristic
283C2×#217C2311yescharacteristic
284C2×#217C2311yescharacteristic
285C2×#217C2311yescharacteristic
286C2×#217C2311yescharacteristic
287C2×#217C2311yescharacteristic
288C2×#217C2311yescharacteristic
289#940—42no—
290#939—24no—
291#939—24no—
292#938—24no—
293#938—24no—
294#937—24no—
295#937—24no—
296D4×Dic3—24no—
297D4×Dic3—24no—
298#930—42no—
299C2×(C2×D3)⋊C4—24no—
300C2×(C2×D3)⋊C4C2311yescharacteristic
301C2×(C2×D3)⋊C4C2311yescharacteristic
302C2×(C2×D3)⋊C4C2311yescharacteristic
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×(C2×D3)⋊C4C2311yescharacteristic
312C2×(C2×D3)⋊C4C2311yescharacteristic
313C2×(C2×D3)⋊C4C2311yescharacteristic
314C2×(C2×D3)⋊C4C2311yescharacteristic
315C2×(C2×D3)⋊C4C2311yescharacteristic
316C2×(C2×D3)⋊C4C2311yescharacteristic
317C2×(C2×D3)⋊C4C2311yescharacteristic
318C2×(C2×D3)⋊C4C2311yescharacteristic
319C2×(C2×D3)⋊C4C2311yescharacteristic
320C2×(C2×D3)⋊C4C2311yescharacteristic
321C2×(C2×D3)⋊C4C2311yescharacteristic
322C2×(C2×D3)⋊C4C2311yescharacteristic
323C2×(C2×D3)⋊C4C2311yescharacteristic
324C2×(C2×D3)⋊C4C2311yescharacteristic
325C2×(C2×D3)⋊C4C2311yescharacteristic
326C2×(C2×D3)⋊C4C2311yescharacteristic
327C2×(C2×D3)⋊C4C2311yescharacteristic
328C2×(C2×D3)⋊C4C2311yescharacteristic
329C2×(C2×D3)⋊C4C2311yescharacteristic
330C2×(C2×D3)⋊C4C2311yescharacteristic
331C2×(C2×D3)⋊C4C2311yescharacteristic
332C2×C4⋊Dic3C2311yescharacteristic
333C2×C4⋊Dic3C2311yescharacteristic
334C2×C4⋊Dic3C2311yescharacteristic
335C2×C4⋊Dic3C2311yescharacteristic
336C2×C4⋊Dic3C2311yescharacteristic
337C2×C4⋊Dic3C2311yescharacteristic
338C2×C4⋊Dic3C2311yescharacteristic
339C2×C4⋊Dic3C2311yescharacteristic
340C2×C4⋊Dic3C2311yescharacteristic
341#924—24no—
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×C4×Dic3C2311yescharacteristic
353C2×C4×Dic3C2311yescharacteristic
354C2×C4×Dic3C2311yescharacteristic
355C2×C4×Dic3C2311yescharacteristic
356C2×C4×Dic3C2311yescharacteristic
357C2×C4×Dic3C2311yescharacteristic
358C2×C4×Dic3C2311yescharacteristic
359C2×C4×Dic3C2311yescharacteristic
360C2×C4×Dic3C2311yescharacteristic
361C2×C4×Dic3C2311yescharacteristic
362#898—24no—
363#898—24no—
364#898D418yescomplemented
365#897—24no—
366#896—42no—
367#895—24no—
368#894—24no—
369#894—24no—
370#893—24no—
371#893—24no—
372#893—24no—
373#892—24no—
374#892—24no—
375#887—24no—
376#886—24no—
377#886—24no—
378#885—24no—
379#885—24no—
380#885—42no—
381#884—42no—
382#884—42no—
383#884—42no—
384#882—42no—
385#882—42no—
386#67⋊C4—42no—
387#67⋊C4—42no—
388D3×C22⋊C4—24no—
389#878—42no—
390#875—24no—
391C42×D3—24no—
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
417C3⋊#95C2311yescharacteristic
418C3⋊#95C2311yescharacteristic
419C3⋊#95C2311yescharacteristic
420#538—68no—
421C2×#127—31no—
422#529—68no—
423C2×#126—31no—
424C2×#126—31no—
425C2×#126—31no—
426C2×#125C2×D311yescharacteristic, complemented
427C2×#124—31no—
428C2×#124—31no—
429C2×#124—31no—
430C2×#124—31no—
431C2×#123—31no—
432C2×#123—31no—
433C2×#123—31no—
434C2×#123—31no—
435C2×C22⋊Q8—31no—
436C2×C22⋊Q8—31no—
437C2×C22⋊Q8—31no—
438C2×C22⋊Q8—31no—
439C2×#121—31no—
440C2×#121—31no—
441C2×#121—31no—
442C2×#121—31no—
443C2×#121—31no—
444C2×#121—31no—
445C2×#121—31no—
446C2×#121—31no—
447C2×#121—31no—
448C2×#121C2×D311yescharacteristic
449C2×#120—31no—
450C2×#120—31no—
451C2×#120—31no—
452C2×#120—31no—
453C2×C4×Q8—31no—
454C2×C4×D4—31no—
455C2×C4×D4—31no—
456C2×C4×D4—31no—
457C2×C4×D4—31no—
458C2×C4×D4—31no—
459C2×C4×D4—31no—
460C2×C4×D4—31no—
461C2×#117—31no—
462C2×#117—31no—
463C22×C22⋊C4—31no—
464C22×C22⋊C4—31no—
465C22×C42—31no—
466#400—31no—
467#399—31no—
468#399C2×D311yescharacteristic, complemented
469#398—31no—
470#397—31no—
471#396—31no—
472#396—31no—
473#396—31no—
474#396—31no—
475#396—31no—
476#396—31no—
477#396C2×D311yescharacteristic, complemented
478#395—31no—
479#395—31no—
480#394—31no—
481#394—31no—
482#394—31no—
483#394—31no—
484#394—31no—
485#394—31no—
486#394—31no—
487#394—31no—
488#394—31no—
489#394—31no—
490#394—31no—
491#394—31no—
492#394C2×D311yescharacteristic
493#394C2×D311yescharacteristic
494#394C2×D311yescharacteristic, complemented
495#394C2×D311yescharacteristic, complemented
496#393—31no—
497#393—31no—
498#392—31no—
499#392—31no—
500#392—31no—
501#392—31no—
502#392—31no—
503#392—31no—
504#392—31no—
505#392—31no—
506#391—31no—
507#390—31no—
508#390—31no—
509#390—31no—
510#390—31no—
511#390—31no—
512#390—31no—
513#390—31no—
514#390C2×D311yescharacteristic
515#390C2×D311yescharacteristic
516#389—31no—
517#389—31no—
518#389—31no—
519#389—31no—
520#389—31no—
521#388—31no—
522#388—31no—
523#388—31no—
524#388—31no—
525#388—31no—
526#388—31no—
527#388—31no—
528#388—31no—
529#388—31no—
530#388—31no—
531#388—31no—
532#388—31no—
533#388—31no—
534#388—31no—
535#388—31no—
536#388C2×D311yescharacteristic, complemented
537#388C2×D311yescharacteristic, complemented
538#387—31no—
539#387—31no—
540#387—31no—
541#387—31no—
542#387—31no—
543#387C2×D311yescharacteristic, complemented
544#386—31no—
545#386—31no—
546#386—31no—
547#386—31no—
548#386—31no—
549#386—31no—
550#386—31no—
551#386—31no—
552#386—31no—
553#386—31no—
554#386—31no—
555#386—31no—
556#386—31no—
557#386—31no—
558#385—31no—
559#385—31no—
560#385—31no—
561#385—31no—
562#385C2×D311yescharacteristic
563#385C2×D311yescharacteristic
564#382—31no—
565#381—31no—
566#380—31no—
567#380—31no—
568#379—31no—
569C4×C4⋊C4—31no—
570C4×C4⋊C4—31no—
571C4×C22⋊C4—31no—
572C4×C22⋊C4—31no—
573C4×C22⋊C4—31no—
574C4×C22⋊C4—31no—
575C4×C22⋊C4—31no—
576C4×C22⋊C4—31no—
577C24×C3C2411yescharacteristic
578C24×C3C2411yescharacteristic
579C24×C3C2411yescharacteristic
580C23×D3—22no—
581C23×D3—22no—
582C23×D3—41no—
583C23×D3—41no—
584C23×D3—41no—
585C23×D3—41no—
586C23×D3—41no—
587C23×D3C2411yescharacteristic
588C23×D3C2411yescharacteristic
589C23×D3C2411yescharacteristic
590C23×D3C2411yescharacteristic
591C2×C3×D4—22no—
592C2×C3×D4—22no—
593C2×C3×D4—22no—
594C2×C3×D4—22no—
595C2×C3×D4—22no—
596C2×C3×D4—41no—
597C2×C3×D4—41no—
598C2×C3×D4—41no—
599C2×C3×D4—41no—
600C22×C3×C4—22no—
601C22×C3×C4—41no—
602C22×C3×C4—41no—
603C22×C3×C4C2411yescharacteristic
604C22×C3×C4C2411yescharacteristic
605C22×C3×C4C2411yescharacteristic
606C22×C3×C4C2411yescharacteristic
607C22×C3×C4C2411yescharacteristic
608C22×C3×C4C2411yescharacteristic
609C22×C3×C4C2411yescharacteristic
610C22×C3×C4C2411yescharacteristic
611C22×C3×C4C2411yescharacteristic
612C22×C3×C4C2411yescharacteristic
613C22×C3×C4C2411yescharacteristic
614C22×C3×C4C2411yescharacteristic
615C2×#67—22no—
616C2×#67—22no—
617C2×#67—22no—
618C2×#67—22no—
619C2×#67—22no—
620C2×#67—22no—
621C2×#67—22no—
622C2×#67—22no—
623C2×#67—22no—
624C2×#67—22no—
625C2×#67—22no—
626C2×#67—41no—
627C2×#67—41no—
628C2×#67—41no—
629C2×#67—41no—
630C2×#67—41no—
631C2×#67—41no—
632C2×#67—41no—
633C2×#67—41no—
634C2×#67—41no—
635C2×#67—41no—
636C2×#67—41no—
637C2×#67—41no—
638C2×#67—41no—
639C2×#67—41no—
640C2×#67—41no—
641C2×#67—41no—
642C2×#67—41no—
643C2×#67—41no—
644C2×#67—41no—
645C22×Dic3—22no—
646C22×Dic3—22no—
647C22×Dic3—22no—
648C22×Dic3—41no—
649C22×Dic3—41no—
650C22×Dic3—41no—
651C22×Dic3—41no—
652C22×Dic3—41no—
653C22×Dic3—41no—
654C22×Dic3C2411yescharacteristic
655C22×Dic3C2411yescharacteristic
656C22×Dic3C2411yescharacteristic
657C22×Dic3C2411yescharacteristic
658C22×Dic3C2411yescharacteristic
659C22×Dic3C2411yescharacteristic
660C22×Dic3C2411yescharacteristic
661C22×Dic3C2411yescharacteristic
662C22×Dic3C2411yescharacteristic
663C22×Dic3C2411yescharacteristic
664C22×Dic3C2411yescharacteristic
665C22×Dic3C2411yescharacteristic
666C2×D12—22no—
667C2×D12—22no—
668C2×D12—22no—
669C2×D12—22no—
670C2×D12—22no—
671C2×D12—22no—
672C2×D12—22no—
673C2×D12—41no—
674C2×D12—41no—
675C2×D12—41no—
676C2×D12—41no—
677C2×D12—41no—
678C2×D12—41no—
679C2×D12—41no—
680C2×D12—41no—
681C2×C4×D3—22no—
682C2×C4×D3—22no—
683C2×C4×D3—22no—
684C2×C4×D3—22no—
685C2×C4×D3—22no—
686C2×C4×D3—22no—
687C2×C4×D3—22no—
688C2×C4×D3—22no—
689C2×C4×D3—22no—
690C2×C4×D3—22no—
691C2×C4×D3—22no—
692C2×C4×D3—41no—
693C2×C4×D3—41no—
694C2×C4×D3—41no—
695C2×C4×D3—41no—
696C2×C4×D3—41no—
697C2×C4×D3—41no—
698C2×C4×D3—41no—
699C2×Dic6—22no—
700C2×Dic6—22no—
701C2×Dic6—22no—
702C2×Dic6—41no—
703C2×Dic6—41no—
704C2×Dic6—41no—
705C3×C4⋊C4—22no—
706C3×C4⋊C4—22no—
707C3×C4⋊C4—22no—
708C3×C4⋊C4—22no—
709C3×C4⋊C4—22no—
710C3×C4⋊C4—41no—
711C3×C4⋊C4—41no—
712C3×C4⋊C4—41no—
713C3×C4⋊C4C2×D414yes—
714C3×C22⋊C4—22no—
715C3×C22⋊C4—22no—
716C3×C22⋊C4—22no—
717C3×C22⋊C4—22no—
718C3×C22⋊C4—22no—
719C3×C22⋊C4—22no—
720C3×C22⋊C4—41no—
721C3×C22⋊C4—41no—
722C3×C22⋊C4—41no—
723C3×C22⋊C4—41no—
724C3×C22⋊C4—41no—
725C3×C22⋊C4—41no—
726C3×C22⋊C4—41no—
727C3×C22⋊C4—41no—
728C3×C42—22no—
729C3×C42—41no—
730#217—22no—
731#217—22no—
732#217—22no—
733#217—22no—
734#217—22no—
735#217—22no—
736#217—41no—
737#217—41no—
738#217—41no—
739#217#4114yes—
740(C2×D3)⋊C4—22no—
741(C2×D3)⋊C4—22no—
742(C2×D3)⋊C4—22no—
743(C2×D3)⋊C4—22no—
744(C2×D3)⋊C4—22no—
745(C2×D3)⋊C4—22no—
746(C2×D3)⋊C4—22no—
747(C2×D3)⋊C4—22no—
748(C2×D3)⋊C4—22no—
749(C2×D3)⋊C4—22no—
750(C2×D3)⋊C4—22no—
751(C2×D3)⋊C4—22no—
752(C2×D3)⋊C4—22no—
753(C2×D3)⋊C4—22no—
754(C2×D3)⋊C4—22no—
755(C2×D3)⋊C4—22no—
756(C2×D3)⋊C4—22no—
757(C2×D3)⋊C4—41no—
758(C2×D3)⋊C4—41no—
759(C2×D3)⋊C4—41no—
760(C2×D3)⋊C4—41no—
761(C2×D3)⋊C4—41no—
762(C2×D3)⋊C4—41no—
763(C2×D3)⋊C4—41no—
764(C2×D3)⋊C4—41no—
765(C2×D3)⋊C4—41no—
766(C2×D3)⋊C4—41no—
767(C2×D3)⋊C4—41no—
768(C2×D3)⋊C4—41no—
769(C2×D3)⋊C4C2×D414yes—
770(C2×D3)⋊C4C2×D414yes—
771(C2×D3)⋊C4C2×D414yes—
772C4⋊Dic3—22no—
773C4⋊Dic3—22no—
774C4⋊Dic3—22no—
775C4⋊Dic3—22no—
776C4⋊Dic3—22no—
777C4⋊Dic3—41no—
778C4⋊Dic3—41no—
779C4⋊Dic3—41no—
780C4⋊Dic3C2×D414yes—
781Dic3⋊C4—22no—
782Dic3⋊C4—22no—
783Dic3⋊C4—22no—
784Dic3⋊C4—22no—
785Dic3⋊C4—41no—
786Dic3⋊C4—41no—
787Dic3⋊C4—41no—
788Dic3⋊C4—41no—
789Dic3⋊C4—41no—
790Dic3⋊C4C2×D414yes—
791C4×Dic3—22no—
792C4×Dic3—22no—
793C4×Dic3—22no—
794C4×Dic3—22no—
795C4×Dic3—22no—
796C4×Dic3—41no—
797C4×Dic3—41no—
798C4×Dic3—41no—
799C4×Dic3—41no—
800C4×Dic3C2×D414yes—
801C25—31no—
802C22×Q8—31no—
803C22×Q8—31no—
804C22×D4—31no—
805C22×D4—31no—
806C22×D4—31no—
807C22×D4—31no—
808C22×D4—31no—
809C22×D4—31no—
810C22×D4—31no—
811C22×D4—31no—
812C22×D4—31no—
813C22×D4—31no—
814C22×D4—31no—
815C22×D4—31no—
816C22×D4—31no—
817C22×D4—31no—
818C22×D4—31no—
819C22×D4C22×D311yescharacteristic
820C22×D4C22×D311yescharacteristic
821C22×D4C22×D311yescharacteristic
822C23×C4—31no—
823C23×C4—31no—
824C23×C4—31no—
825C23×C4—31no—
826C23×C4—31no—
827C23×C4—31no—
828C23×C4—31no—
829C23×C4—31no—
830C23×C4—31no—
831C23×C4C22×D311yescharacteristic
832#127—122no—
833#126—38no—
834#126—64no—
835#126—64no—
836#125—24no—
837#124—64no—
838#124—64no—
839#124—64no—
840#124—122no—
841#123—64no—
842#123—64no—
843#123—64no—
844#123—64no—
845C22⋊Q8—64no—
846C22⋊Q8—64no—
847C22⋊Q8—122no—
848C22⋊Q8—122no—
849#121—24no—
850#121—64no—
851#121—64no—
852#121—64no—
853#121—64no—
854#121—64no—
855#121—122no—
856#121—122no—
857#121—122no—
858#121—122no—
859#120—64no—
860#120—64no—
861#120—122no—
862#120—122no—
863C4×Q8—64no—
864C4×D4—64no—
865C4×D4—64no—
866C4×D4—64no—
867C4×D4—64no—
868C4×D4—64no—
869C4×D4—122no—
870C4×D4—122no—
871#117—64no—
872#117—64no—
873C2×C4⋊C4—31no—
874C2×C4⋊C4—31no—
875C2×C4⋊C4—31no—
876C2×C4⋊C4—31no—
877C2×C4⋊C4—31no—
878C2×C4⋊C4—31no—
879C2×C4⋊C4—31no—
880C2×C4⋊C4—31no—
881C2×C4⋊C4—31no—
882C2×C4⋊C4—31no—
883C2×C4⋊C4—31no—
884C2×C4⋊C4—31no—
885C2×C4⋊C4—31no—
886C2×C4⋊C4—31no—
887C2×C4⋊C4—31no—
888C2×C4⋊C4—31no—
889C2×C4⋊C4—31no—
890C2×C4⋊C4—31no—
891C2×C4⋊C4—31no—
892C2×C4⋊C4C22×D311yescharacteristic
893C2×C4⋊C4C22×D311yescharacteristic
894C2×C4⋊C4C22×D311yescharacteristic
895C2×C4⋊C4C22×D311yescharacteristic
896C2×C4⋊C4C22×D311yescharacteristic
897C2×C4⋊C4C22×D311yescharacteristic
898C2×C4⋊C4C22×D311yescharacteristic
899C2×C4⋊C4C22×D311yescharacteristic
900C2×C4⋊C4C22×D311yescharacteristic
901C2×C22⋊C4—31no—
902C2×C22⋊C4—31no—
903C2×C22⋊C4—31no—
904C2×C22⋊C4—31no—
905C2×C22⋊C4—31no—
906C2×C22⋊C4—31no—
907C2×C22⋊C4—31no—
908C2×C22⋊C4—31no—
909C2×C22⋊C4—31no—
910C2×C22⋊C4—31no—
911C2×C22⋊C4—31no—
912C2×C22⋊C4—31no—
913C2×C22⋊C4—31no—
914C2×C22⋊C4—31no—
915C2×C22⋊C4—31no—
916C2×C22⋊C4—31no—
917C2×C22⋊C4—31no—
918C2×C22⋊C4—31no—
919C2×C22⋊C4—31no—
920C2×C22⋊C4—31no—
921C2×C22⋊C4—31no—
922C2×C22⋊C4—31no—
923C2×C22⋊C4—31no—
924C2×C22⋊C4—31no—
925C2×C22⋊C4—31no—
926C2×C22⋊C4—31no—
927C2×C22⋊C4—31no—
928C2×C22⋊C4—31no—
929C2×C22⋊C4—31no—
930C2×C22⋊C4—31no—
931C2×C22⋊C4—31no—
932C2×C22⋊C4—31no—
933C2×C22⋊C4—31no—
934C2×C22⋊C4—31no—
935C2×C22⋊C4—31no—
936C2×C22⋊C4—31no—
937C2×C22⋊C4—31no—
938C2×C22⋊C4—31no—
939C2×C22⋊C4—31no—
940C2×C22⋊C4—31no—
941C2×C22⋊C4—31no—
942C2×C22⋊C4—31no—
943C2×C22⋊C4—64no—
944C2×C22⋊C4—64no—
945C2×C22⋊C4C22×D311yescharacteristic
946C2×C22⋊C4C22×D311yescharacteristic
947C2×C22⋊C4C22×D311yescharacteristic
948C2×C22⋊C4C22×D311yescharacteristic
949C2×C22⋊C4C22×D311yescharacteristic
950C2×C22⋊C4C22×D311yescharacteristic
951C2×C22⋊C4C22×D311yescharacteristic
952C2×C22⋊C4C22×D311yescharacteristic
953C2×C22⋊C4C22×D311yescharacteristic
954C2×C22⋊C4C22×D311yescharacteristic
955C2×C22⋊C4C22×D311yescharacteristic
956C2×C22⋊C4C22×D311yescharacteristic
957C2×C22⋊C4C22×D311yescharacteristic
958C2×C22⋊C4C22×D311yescharacteristic
959C2×C42—31no—
960C2×C42—31no—
961C2×C42—31no—
962C2×C42—31no—
963C2×C42—31no—
964C2×C42—31no—
965C2×C42—31no—
966C2×C42—31no—
967C2×C42—31no—
968C2×C42—31no—
969C2×C42—64no—
970C2×C42C22×D311yescharacteristic
971C2×C42C22×D311yescharacteristic
972#95—31no—
973#95—31no—
974#95—31no—
975#95—31no—
976#95—31no—
977#95—31no—
978#95—31no—
979#95—31no—
980#95—31no—
981#95—31no—
982#95—31no—
983#95—31no—
984#95—31no—
985#95—31no—
986#95—31no—
987#95—31no—
988#95—31no—
989#95—31no—
990#95—31no—
991#95—31no—
992#95—31no—
993#95—31no—
994#95C22×D311yescharacteristic
995#95C22×D311yescharacteristic
996#95C22×D311yescharacteristic
997#95C22×D311yescharacteristic
998#95C22×D311yescharacteristic
999#95C22×D311yescharacteristic
1000C23×C3—21no—
1001C23×C3—21no—
1002C23×C3—21no—
1003C23×C3—21no—
1004C23×C3—21no—
1005C23×C3—21no—
1006C23×C3—21no—
1007C23×C3—21no—
1008C23×C3—21no—
1009C23×C3—21no—
1010C23×C3—21no—
1011C23×C3—21no—
1012C23×C3—21no—
1013C23×C3—21no—
1014C23×C3—21no—
1015C23×C3—21no—
1016C23×C3—21no—
1017C23×C3—21no—
1018C23×C3—21no—
1019C23×C3—21no—
1020C23×C3C2×#4112yes—
1021C23×C3C2511yescharacteristic
1022C22×D3—21no—
1023C22×D3—21no—
1024C22×D3—21no—
1025C22×D3—21no—
1026C22×D3—21no—
1027C22×D3—21no—
1028C22×D3—21no—
1029C22×D3—21no—
1030C22×D3—21no—
1031C22×D3—21no—
1032C22×D3—21no—
1033C22×D3—21no—
1034C22×D3—21no—
1035C22×D3—21no—
1036C22×D3—21no—
1037C22×D3—21no—
1038C22×D3—21no—
1039C22×D3—21no—
1040C22×D3—21no—
1041C22×D3—21no—
1042C22×D3—21no—
1043C22×D3—21no—
1044C22×D3—21no—
1045C22×D3—21no—
1046C22×D3—21no—
1047C22×D3—21no—
1048C22×D3—44no—
1049C22×D3—44no—
1050C22×D3—82no—
1051C22×D3—82no—
1052C22×D3—82no—
1053C22×D3—82no—
1054C22×D3—82no—
1055C22×D3C22×D412yes—
1056C22×D3H(5,𝔽2)12yes—
1057C3×D4—44no—
1058C3×D4—44no—
1059C3×D4—82no—
1060C2×C3×C4—21no—
1061C2×C3×C4—21no—
1062C2×C3×C4—21no—
1063C2×C3×C4—21no—
1064C2×C3×C4—21no—
1065C2×C3×C4—21no—
1066C2×C3×C4—21no—
1067C2×C3×C4—21no—
1068C2×C3×C4—21no—
1069C2×C3×C4—21no—
1070C2×C3×C4—21no—
1071C2×C3×C4—21no—
1072C2×C3×C4—21no—
1073C2×C3×C4—21no—
1074C2×C3×C4—21no—
1075C2×C3×C4—21no—
1076C2×C3×C4—21no—
1077C2×C3×C4—21no—
1078C2×C3×C4—21no—
1079C2×C3×C4—21no—
1080C2×C3×C4—21no—
1081C2×C3×C4—21no—
1082C2×C3×C4—21no—
1083C2×C3×C4—21no—
1084C2×C3×C4—21no—
1085C2×C3×C4—21no—
1086C2×C3×C4—21no—
1087C2×C3×C4—21no—
1088C2×C3×C4—21no—
1089C2×C3×C4—21no—
1090C2×C3×C4—21no—
1091C2×C3×C4—21no—
1092C2×C3×C4—82no—
1093C2×C3×C4C22×D412yes—
1094C2×C3×C4C22×D412yes—
1095C2×C3×C4C22×D412yes—
1096C2×C3×C4H(5,𝔽2)12yes—
1097#67—44no—
1098#67—44no—
1099#67—82no—
1100#67—82no—
1101#67—82no—
1102#67—82no—
1103#67—82no—
1104#67—82no—
1105#67—82no—
1106#67—82no—
1107C2×Dic3—21no—
1108C2×Dic3—21no—
1109C2×Dic3—21no—
1110C2×Dic3—21no—
1111C2×Dic3—21no—
1112C2×Dic3—21no—
1113C2×Dic3—21no—
1114C2×Dic3—21no—
1115C2×Dic3—21no—
1116C2×Dic3—21no—
1117C2×Dic3—21no—
1118C2×Dic3—21no—
1119C2×Dic3—21no—
1120C2×Dic3—21no—
1121C2×Dic3—21no—
1122C2×Dic3—21no—
1123C2×Dic3—21no—
1124C2×Dic3—21no—
1125C2×Dic3—21no—
1126C2×Dic3—21no—
1127C2×Dic3—21no—
1128C2×Dic3—21no—
1129C2×Dic3—21no—
1130C2×Dic3—21no—
1131C2×Dic3—21no—
1132C2×Dic3—21no—
1133C2×Dic3—21no—
1134C2×Dic3—21no—
1135C2×Dic3—21no—
1136C2×Dic3—21no—
1137C2×Dic3—21no—
1138C2×Dic3—82no—
1139C2×Dic3—82no—
1140C2×Dic3—82no—
1141C2×Dic3C22×D412yes—
1142C2×Dic3C22×D412yes—
1143C2×Dic3C22×D412yes—
1144C2×Dic3C2×#4112yes—
1145C2×Dic3C2×#4112yes—
1146D12—44no—
1147D12—44no—
1148D12—44no—
1149D12—82no—
1150D12—82no—
1151C4×D3—44no—
1152C4×D3—44no—
1153C4×D3—44no—
1154C4×D3—44no—
1155C4×D3—44no—
1156C4×D3—82no—
1157Dic6—44no—
1158Dic6—82no—
1159C24—31no—
1160C24—31no—
1161C24—31no—
1162C24—31no—
1163C24—62no—
1164C24—62no—
1165C24—121no—
1166C24—121no—
1167C24—121no—
1168C24—121no—
1169C24—121no—
1170C24C23×D311yescharacteristic
1171C24C23×D311yescharacteristic
1172C24C23×D311yescharacteristic
1173C2×Q8—62no—
1174C2×Q8—62no—
1175C2×Q8—62no—
1176C2×Q8—121no—
1177C2×Q8—121no—
1178C2×Q8—121no—
1179C2×D4—22no—
1180C2×D4—22no—
1181C2×D4—22no—
1182C2×D4—22no—
1183C2×D4—22no—
1184C2×D4—41no—
1185C2×D4—41no—
1186C2×D4—41no—
1187C2×D4—41no—
1188C2×D4—62no—
1189C2×D4—62no—
1190C2×D4—62no—
1191C2×D4—62no—
1192C2×D4—62no—
1193C2×D4—62no—
1194C2×D4—62no—
1195C2×D4—62no—
1196C2×D4—62no—
1197C2×D4—62no—
1198C2×D4—62no—
1199C2×D4—62no—
1200C2×D4—62no—
1201C2×D4—62no—
1202C2×D4—62no—
1203C2×D4—62no—
1204C2×D4—62no—
1205C2×D4—62no—
1206C2×D4—121no—
1207C2×D4—121no—
1208C2×D4—121no—
1209C2×D4—121no—
1210C2×D4—121no—
1211C2×D4—121no—
1212C2×D4—121no—
1213C2×D4—121no—
1214C2×D4—121no—
1215C2×D4—121no—
1216C2×D4—121no—
1217C2×D4—121no—
1218C2×D4—121no—
1219C2×D4—121no—
1220C2×D4—121no—
1221C2×D4—121no—
1222C2×D4—121no—
1223C2×D4—121no—
1224C2×D4—121no—
1225C2×D4—121no—
1226C2×D4—121no—
1227C2×D4—121no—
1228C2×D4—121no—
1229C2×D4—121no—
1230C2×D4—121no—
1231C2×D4—121no—
1232C2×D4—121no—
1233C22×C4—22no—
1234C22×C4—31no—
1235C22×C4—31no—
1236C22×C4—31no—
1237C22×C4—31no—
1238C22×C4—31no—
1239C22×C4—31no—
1240C22×C4—31no—
1241C22×C4—31no—
1242C22×C4—31no—
1243C22×C4—31no—
1244C22×C4—31no—
1245C22×C4—31no—
1246C22×C4—41no—
1247C22×C4—41no—
1248C22×C4—62no—
1249C22×C4—62no—
1250C22×C4—62no—
1251C22×C4—62no—
1252C22×C4—62no—
1253C22×C4—62no—
1254C22×C4—62no—
1255C22×C4—62no—
1256C22×C4—62no—
1257C22×C4—62no—
1258C22×C4—62no—
1259C22×C4—62no—
1260C22×C4—62no—
1261C22×C4—62no—
1262C22×C4—121no—
1263C22×C4—121no—
1264C22×C4—121no—
1265C22×C4—121no—
1266C22×C4—121no—
1267C22×C4—121no—
1268C22×C4—121no—
1269C22×C4—121no—
1270C22×C4—121no—
1271C22×C4—121no—
1272C22×C4—121no—
1273C22×C4—121no—
1274C22×C4—121no—
1275C22×C4C23×D311yescharacteristic
1276C22×C4C23×D311yescharacteristic
1277C22×C4C23×D311yescharacteristic
1278C22×C4C23×D311yescharacteristic
1279C22×C4C23×D311yescharacteristic
1280C22×C4C23×D311yescharacteristic
1281C22×C4C23×D311yescharacteristic
1282C22×C4C23×D311yescharacteristic
1283C22×C4C23×D311yescharacteristic
1284C22×C4C23×D311yescharacteristic
1285C22×C4C23×D311yescharacteristic
1286C22×C4C23×D311yescharacteristic
1287C4⋊C4—22no—
1288C4⋊C4—22no—
1289C4⋊C4—22no—
1290C4⋊C4—22no—
1291C4⋊C4—22no—
1292C4⋊C4—34no—
1293C4⋊C4—34no—
1294C4⋊C4—41no—
1295C4⋊C4—41no—
1296C4⋊C4—41no—
1297C4⋊C4—62no—
1298C4⋊C4—62no—
1299C4⋊C4—62no—
1300C4⋊C4—62no—
1301C4⋊C4—62no—
1302C4⋊C4—62no—
1303C4⋊C4—62no—
1304C4⋊C4—62no—
1305C4⋊C4—62no—
1306C4⋊C4—121no—
1307C4⋊C4—121no—
1308C4⋊C4—121no—
1309C4⋊C4—121no—
1310C4⋊C4—121no—
1311C4⋊C4—121no—
1312C4⋊C4—121no—
1313C4⋊C4—121no—
1314C4⋊C4D3×D414yes—
1315C22⋊C4—22no—
1316C22⋊C4—22no—
1317C22⋊C4—22no—
1318C22⋊C4—22no—
1319C22⋊C4—22no—
1320C22⋊C4—22no—
1321C22⋊C4—34no—
1322C22⋊C4—34no—
1323C22⋊C4—34no—
1324C22⋊C4—34no—
1325C22⋊C4—41no—
1326C22⋊C4—41no—
1327C22⋊C4—41no—
1328C22⋊C4—41no—
1329C22⋊C4—41no—
1330C22⋊C4—41no—
1331C22⋊C4—41no—
1332C22⋊C4—41no—
1333C22⋊C4—62no—
1334C22⋊C4—62no—
1335C22⋊C4—62no—
1336C22⋊C4—62no—
1337C22⋊C4—62no—
1338C22⋊C4—62no—
1339C22⋊C4—62no—
1340C22⋊C4—62no—
1341C22⋊C4—62no—
1342C22⋊C4—62no—
1343C22⋊C4—62no—
1344C22⋊C4—62no—
1345C22⋊C4—62no—
1346C22⋊C4—62no—
1347C22⋊C4—62no—
1348C22⋊C4—62no—
1349C22⋊C4—62no—
1350C22⋊C4—62no—
1351C22⋊C4—62no—
1352C22⋊C4—62no—
1353C22⋊C4—62no—
1354C22⋊C4—62no—
1355C22⋊C4—62no—
1356C22⋊C4—121no—
1357C22⋊C4—121no—
1358C22⋊C4—121no—
1359C22⋊C4—121no—
1360C22⋊C4—121no—
1361C22⋊C4—121no—
1362C22⋊C4—121no—
1363C22⋊C4—121no—
1364C22⋊C4—121no—
1365C22⋊C4—121no—
1366C22⋊C4—121no—
1367C22⋊C4—121no—
1368C22⋊C4—121no—
1369C22⋊C4—121no—
1370C22⋊C4—121no—
1371C42—22no—
1372C42—34no—
1373C42—41no—
1374C42—62no—
1375C42—62no—
1376C42—62no—
1377C42—62no—
1378C42—62no—
1379C42—121no—
1380C42—121no—
1381C42—121no—
1382C42—121no—
1383C22×C3—22no—
1384C22×C3—22no—
1385C22×C3—22no—
1386C22×C3—41no—
1387C22×C3—41no—
1388C22×C3—41no—
1389C22×C3—41no—
1390C22×C3—41no—
1391C22×C3—41no—
1392C22×C3—41no—
1393C22×C3—41no—
1394C22×C3—41no—
1395C22×C3—41no—
1396C22×C3—41no—
1397C22×C3—41no—
1398C22×C3—41no—
1399C22×C3—41no—
1400C22×C3—41no—
1401C22×C3—41no—
1402C22×C3—41no—
1403C22×C3—41no—
1404C22×C3C23×D411yescharacteristic
1405C22×C3C22×#4111yescharacteristic
1406C22×C3C2×H(5,𝔽2)11yescharacteristic
1407C22×C3C2×H(5,𝔽2)11yescharacteristic
1408C22×C3#58511yescharacteristic
1409C22×C3#58511yescharacteristic
1410C22×C3#58511yescharacteristic
1411C2×D3—22no—
1412C2×D3—22no—
1413C2×D3—22no—
1414C2×D3—22no—
1415C2×D3—22no—
1416C2×D3—22no—
1417C2×D3—41no—
1418C2×D3—41no—
1419C2×D3—41no—
1420C2×D3—41no—
1421C2×D3—41no—
1422C2×D3—41no—
1423C2×D3—41no—
1424C2×D3—41no—
1425C2×D3—41no—
1426C2×D3—41no—
1427C2×D3—41no—
1428C2×D3—41no—
1429C2×D3—41no—
1430C2×D3—41no—
1431C2×D3—41no—
1432C2×D3—41no—
1433C2×D3—41no—
1434C2×D3—41no—
1435C2×D3—41no—
1436C2×D3—41no—
1437C2×D3—41no—
1438C2×D3—41no—
1439C2×D3—88no—
1440C3×C4—22no—
1441C3×C4—22no—
1442C3×C4—22no—
1443C3×C4—22no—
1444C3×C4—41no—
1445C3×C4—41no—
1446C3×C4—41no—
1447C3×C4—41no—
1448C3×C4—41no—
1449C3×C4—41no—
1450C3×C4—41no—
1451C3×C4—41no—
1452Dic3—22no—
1453Dic3—22no—
1454Dic3—22no—
1455Dic3—22no—
1456Dic3—22no—
1457Dic3—41no—
1458Dic3—41no—
1459Dic3—41no—
1460Dic3—41no—
1461Dic3—41no—
1462Dic3—41no—
1463Dic3—41no—
1464C23—21no—
1465C23—21no—
1466C23—21no—
1467C23—21no—
1468C23—21no—
1469C23—21no—
1470C23—21no—
1471C23—21no—
1472C23—21no—
1473C23—21no—
1474C23—21no—
1475C23—21no—
1476C23—21no—
1477C23—21no—
1478C23—21no—
1479C23—21no—
1480C23—21no—
1481C23—21no—
1482C23—21no—
1483C23—21no—
1484C23—32no—
1485C23—32no—
1486C23—61no—
1487C23—61no—
1488C23—61no—
1489C23—61no—
1490C23—61no—
1491C23—61no—
1492C23—61no—
1493C23—61no—
1494C23—61no—
1495C23—61no—
1496C23—61no—
1497C23—61no—
1498C23—61no—
1499C23—61no—
1500C23—61no—
1501C23—61no—
1502C23—61no—
1503C23—61no—
1504C23—61no—
1505C23—61no—
1506C23—61no—
1507C23—61no—
1508C23—61no—
1509C23—61no—
1510C23—61no—
1511C23—61no—
1512C23—124no—
1513C23—124no—
1514C23—242no—
1515C23—242no—
1516C23—242no—
1517C23—242no—
1518C23—242no—
1519C23D3×#4112yes—
1520C23C24×D311yescharacteristic
1521Q8—124no—
1522Q8—242no—
1523D4—44no—
1524D4—44no—
1525D4—82no—
1526D4—124no—
1527D4—124no—
1528D4—124no—
1529D4—124no—
1530D4—124no—
1531D4—242no—
1532D4—242no—
1533D4—242no—
1534D4—242no—
1535D4—242no—
1536D4—242no—
1537D4—242no—
1538D4—242no—
1539D4—242no—
1540D4—242no—
1541C2×C4—21no—
1542C2×C4—21no—
1543C2×C4—21no—
1544C2×C4—21no—
1545C2×C4—21no—
1546C2×C4—21no—
1547C2×C4—21no—
1548C2×C4—21no—
1549C2×C4—21no—
1550C2×C4—21no—
1551C2×C4—21no—
1552C2×C4—21no—
1553C2×C4—21no—
1554C2×C4—21no—
1555C2×C4—21no—
1556C2×C4—21no—
1557C2×C4—21no—
1558C2×C4—21no—
1559C2×C4—21no—
1560C2×C4—21no—
1561C2×C4—21no—
1562C2×C4—21no—
1563C2×C4—21no—
1564C2×C4—21no—
1565C2×C4—21no—
1566C2×C4—21no—
1567C2×C4—21no—
1568C2×C4—21no—
1569C2×C4—21no—
1570C2×C4—21no—
1571C2×C4—21no—
1572C2×C4—21no—
1573C2×C4—32no—
1574C2×C4—32no—
1575C2×C4—32no—
1576C2×C4—32no—
1577C2×C4—32no—
1578C2×C4—61no—
1579C2×C4—61no—
1580C2×C4—61no—
1581C2×C4—61no—
1582C2×C4—61no—
1583C2×C4—61no—
1584C2×C4—61no—
1585C2×C4—61no—
1586C2×C4—61no—
1587C2×C4—61no—
1588C2×C4—61no—
1589C2×C4—61no—
1590C2×C4—61no—
1591C2×C4—61no—
1592C2×C4—61no—
1593C2×C4—61no—
1594C2×C4—61no—
1595C2×C4—61no—
1596C2×C4—61no—
1597C2×C4—61no—
1598C2×C4—61no—
1599C2×C4—61no—
1600C2×C4—61no—
1601C2×C4—61no—
1602C2×C4—61no—
1603C2×C4—61no—
1604C2×C4—61no—
1605C2×C4—61no—
1606C2×C4—61no—
1607C2×C4—61no—
1608C2×C4—61no—
1609C2×C4—82no—
1610C2×C4—124no—
1611C2×C4—124no—
1612C2×C4—124no—
1613C2×C4—124no—
1614C2×C4—124no—
1615C2×C4—242no—
1616C2×C4—242no—
1617C2×C4—242no—
1618C2×C4—242no—
1619C2×C4C2×D3×D412yes—
1620C2×C4C2×D3×D412yes—
1621C2×C4C2×D3×D412yes—
1622C2×C4#100912yes—
1623C2×C3—42no—
1624C2×C3—81no—
1625C2×C3—81no—
1626C2×C3#345511yescharacteristic
1627C2×C3D4×#4111yescharacteristic
1628C2×C3#348811yescharacteristic
1629C2×C3#348811yescharacteristic
1630C2×C3#351911yescharacteristic
1631C2×C3#354511yescharacteristic
1632C2×C3#356211yescharacteristic
1633D3—42no—
1634D3—42no—
1635D3—81no—
1636D3—81no—
1637C22—22no—
1638C22—22no—
1639C22—22no—
1640C22—41no—
1641C22—41no—
1642C22—41no—
1643C22—41no—
1644C22—41no—
1645C22—41no—
1646C22—41no—
1647C22—41no—
1648C22—41no—
1649C22—41no—
1650C22—41no—
1651C22—41no—
1652C22—41no—
1653C22—41no—
1654C22—41no—
1655C22—41no—
1656C22—41no—
1657C22—41no—
1658C22—62no—
1659C22—62no—
1660C22—62no—
1661C22—62no—
1662C22—62no—
1663C22—62no—
1664C22—121no—
1665C22—121no—
1666C22—121no—
1667C22—121no—
1668C22—121no—
1669C22—121no—
1670C22—121no—
1671C22—121no—
1672C22—121no—
1673C22—121no—
1674C22—121no—
1675C22—121no—
1676C22—121no—
1677C22—121no—
1678C22—121no—
1679C22—121no—
1680C22—121no—
1681C22—121no—
1682C22—121no—
1683C22—121no—
1684C22—121no—
1685C22—121no—
1686C22—248no—
1687C22C22×D3×D411yescharacteristic
1688C22C2×D3×#4111yescharacteristic
1689C22C2×#100911yescharacteristic
1690C22D3×H(5,𝔽2)11yescharacteristic
1691C22#596611yescharacteristic
1692C22#596611yescharacteristic
1693C22#596811yescharacteristic
1694C4—22no—
1695C4—22no—
1696C4—22no—
1697C4—22no—
1698C4—41no—
1699C4—41no—
1700C4—41no—
1701C4—41no—
1702C4—41no—
1703C4—41no—
1704C4—41no—
1705C4—41no—
1706C4—62no—
1707C4—62no—
1708C4—62no—
1709C4—62no—
1710C4—62no—
1711C4—121no—
1712C4—121no—
1713C4—121no—
1714C4—121no—
1715C4—121no—
1716C4—121no—
1717C4—121no—
1718C3#3773711yescharacteristic, complemented, Sylow
1719C2—42no—
1720C2—81no—
1721C2—81no—
1722C2—122no—
1723C2—122no—
1724C2—241no—
1725C2—241no—
1726C2#8633111yescharacteristic
1727C2#8642711yescharacteristic
1728C2#8648011yescharacteristic
1729C2#8662611yescharacteristic
1730C2#8671311yescharacteristic
1731C2#8688711yescharacteristic
1732C2#8711111yescharacteristic
subgroupG/H
center, FrattiniC23C24×D3
commutator, socle, cosocleC23×C3C25
FittingC3×#2711C2
hypercenter#2711D3
hypocenterC3#37737
LCSG ▷ C23×C3 ▷ C3
UCSC1 ◁ C23 ◁ #2711

Complements

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

NH ≅ G/Ntype
1. C2×#5691C2semidirect
2. C2×#5617C2semidirect
3. C3×#2711C2semidirect
4. #83053C2semidirect
5. #82648C2semidirect
6. #78114C2semidirect
7. #78026C2semidirect
8. #77344C2semidirect
9. #77293C2semidirect
10. #77133C2semidirect
11. #77113C2semidirect
12. #77113C2semidirect
13. #76982C2semidirect
14. #76929C2semidirect
15. #76916C2semidirect
16. #76903C2semidirect
17. #76901C2semidirect
18. #76462C2semidirect
19. #76461C2semidirect
20. #76304C2semidirect
21. #76291C2semidirect
22. #75957C2semidirect
23. #75665C2semidirect
24. #75513C2semidirect
25. #75508C2semidirect
26. #75001C2semidirect
27. #74954C2semidirect
28. #74632C2semidirect
29. #74605C2semidirect
30. #74595C2semidirect
31. #74433C2semidirect
33. C2×C3×#125C22semidirect
35. C2×#940C22semidirect
51. C2×#898C22semidirect
52. C2×#897C22semidirect
53. C2×#896C22semidirect
56. C2×#894C22semidirect
59. C2×#893C22semidirect
61. C2×#892C22semidirect
62. C2×#887C22semidirect
74. C2×#67⋊C4C22semidirect
76. C2×#878C22semidirect
78. C2×C42×D3C22semidirect
79. C3×#399C22semidirect
80. C3×#396C22semidirect
83. C3×#394C22semidirect
84. C3×#394C22semidirect
87. C3×#388C22semidirect
88. C3×#388C22semidirect
89. C3×#387C22semidirect
94. #5221C22semidirect
99. #4994C22semidirect
108. #4987C22semidirect
109. #4986C22semidirect
110. #4984C22semidirect
111. #4982C22semidirect
112. #4980C22semidirect
113. #4979C22semidirect
114. #4978C22semidirect
115. #4976C22semidirect
116. Dic3×C4⋊C4C22semidirect
117. #4972C22semidirect
119. #4961C22semidirect
120. #4961C22semidirect
130. #4959C22semidirect
132. #4958C22semidirect
133. #4958C22semidirect
134. #4958C22semidirect
138. #4957C22semidirect
142. #4956C22semidirect
143. #4956C22semidirect
144. #4956C22semidirect
145. #4956C22semidirect
147. #4951C22semidirect
149. #4950C22semidirect
151. #4948C22semidirect
155. #4945C22semidirect
156. #4945C22semidirect
158. Dic3×C22⋊C4C22semidirect
159. Dic3×C22⋊C4C22semidirect
163. C4×(C2×D3)⋊C4C22semidirect
164. C4×C4⋊Dic3C22semidirect
165. #4928C22semidirect
166. #4677C22semidirect
167. #4673C22semidirect
169. #4672C22semidirect
174. #4670C22semidirect
175. #4670C22semidirect
183. #4656C22semidirect
184. #4654C22semidirect
185. #4653C22semidirect
186. #4652C22semidirect
187. #4650C22semidirect
188. #4647C22semidirect
189. #4646C22semidirect
194. #2711D3semidirect
364. #898D4semidirect
426. C2×#125C2×D3semidirect
468. #399C2×D3semidirect
477. #396C2×D3semidirect
494. #394C2×D3semidirect
495. #394C2×D3semidirect
536. #388C2×D3semidirect
537. #388C2×D3semidirect
543. #387C2×D3semidirect
1718. C3#37737semidirect

Maximal subgroups

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

subgroupindex
C2×#56912
C2×#56172
C3×#27112
#830532
#826482
#781142
#780262
#773442
#772932
#771332
#771132
#769822
#769292
#769162
#769032
#769012
#764622
#764612
#763042
#762912
#759572
#756652
#755132
#755082
#750012
#749542
#746322
#746052
#745952
#744332
#377373