Finite Group Databasebeta

← #11025747

Subgroups — #11025747

Order 768.

2310 conjugacy classes of subgroups.

The subgroup lattice has 1652 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#5657C211yesmaximal, characteristic, complemented
2C2×#5649C211yesmaximal, characteristic, complemented
3C3×#2422C211yesmaximal, characteristic, complemented
4#82896C211yesmaximal, characteristic, complemented
5#82854C211yesmaximal, characteristic, complemented
6#82716C211yesmaximal, characteristic, complemented
7#82706C211yesmaximal, characteristic, complemented
8#82413C211yesmaximal, characteristic, complemented
9C4×#939C211yesmaximal, characteristic, complemented
10#77703C211yesmaximal, characteristic, complemented
11#77695C211yesmaximal, characteristic, complemented
12#77672C211yesmaximal, characteristic, complemented
13#77469C211yesmaximal, characteristic, complemented
14#77141C211yesmaximal, characteristic, complemented
15#77127C211yesmaximal, characteristic, complemented
16#77118C211yesmaximal, characteristic, complemented
17#76923C211yesmaximal, characteristic, complemented
18#76447C211yesmaximal, characteristic, complemented
19#76400C211yesmaximal, characteristic, complemented
20#76204C211yesmaximal, characteristic, complemented
21#76108C211yesmaximal, characteristic, complemented
22#74611C211yesmaximal, characteristic, complemented
23#74587C211yesmaximal, characteristic, complemented
24#74503C211yesmaximal, characteristic, complemented
25#74447C211yesmaximal, characteristic, complemented
26#74372C211yesmaximal, characteristic, complemented
27#74363C211yesmaximal, characteristic, complemented
28#74021C211yesmaximal, characteristic, complemented
29#73972C211yesmaximal, characteristic, complemented
30#73575C211yesmaximal, characteristic, complemented
31#73452C211yesmaximal, characteristic, complemented
32#37728—31nomaximal, Sylow
33C2×C3×#123C2211yescharacteristic
34C2×C3×#123C2211yescharacteristic
35C2×C3×#121C2211yescharacteristic
36C2×C3×C4×D4C2211yescharacteristic, complemented
37C2×#939C2211yescharacteristic
38C2×#939C2211yescharacteristic
39C2×#938C2211yescharacteristic
40C2×#937C2211yescharacteristic
41C2×#937C2211yescharacteristic
42C2×D4×Dic3C2211yescharacteristic
43C2×#930C2211yescharacteristic
44C2×#929C2211yescharacteristic, complemented
45C2×C4×#67C2211yescharacteristic
46C2×C4×#67C2211yescharacteristic
47C22×(C2×D3)⋊C4C2211yescharacteristic
48C22×C4×Dic3C2211yescharacteristic, complemented
49#5657—28no—
50#5649—28no—
51C2×#898C2211yescharacteristic
52C2×#898C2211yescharacteristic, complemented
53C2×#897C2211yescharacteristic
54C2×#894C2211yescharacteristic
55C2×#894C2211yescharacteristic
56C2×#893C2211yescharacteristic
57C2×#892C2211yescharacteristic, complemented
58C2×#889C2211yescharacteristic, complemented
59C2×#887C2211yescharacteristic, complemented
60C2×#885C2211yescharacteristic
61C2×#885C2211yescharacteristic
62C2×#884C2211yescharacteristic
63C2×#884C2211yescharacteristic
64C2×#883C2211yescharacteristic, complemented
65C2×#882C2211yescharacteristic
66C2×#67⋊C4C2211yescharacteristic
67C2×#67⋊C4C2211yescharacteristic, complemented
68C2×D3×C22⋊C4C2211yescharacteristic
69C2×#879C2211yescharacteristic
70C2×#879C2211yescharacteristic
71C2×#878C2211yescharacteristic, complemented
72C2×#877C2211yescharacteristic
73C3×#397C2211yescharacteristic, complemented
74C3×#397C2211yescharacteristic, complemented
75C3×#394C2211yescharacteristic
76C3×#394C2211yescharacteristic
77C3×#390C2211yescharacteristic, complemented
78C3×#389C2211yescharacteristic, complemented
79C3×#385C2211yescharacteristic, complemented
80C3×#385C2211yescharacteristic, complemented
81C3×#384C2211yescharacteristic, complemented
82C3×#380C2211yescharacteristic
83C3×C4×C22⋊C4C2211yescharacteristic
84#5223C2211yescharacteristic
85#5223C2211yescharacteristic, complemented
86#5222C2211yescharacteristic
87#5222C2211yescharacteristic
88#5220C2211yescharacteristic
89#5220C2211yescharacteristic, complemented
90#5213C2211yescharacteristic
91#5213C2211yescharacteristic
92#5212C2211yescharacteristic
93#5210C2211yescharacteristic
94#5210C2211yescharacteristic, complemented
95C4×#217C2211yescharacteristic, complemented
96#4994C2211yescharacteristic
97#4993C2211yescharacteristic
98#4993C2211yescharacteristic
99#4993C2211yescharacteristic
100#4993C2211yescharacteristic
101#4991C2211yescharacteristic
102#4991C2211yescharacteristic
103#4990C2211yescharacteristic
104#4990C2211yescharacteristic
105#4990C2211yescharacteristic
106#4990C2211yescharacteristic
107#4989C2211yescharacteristic
108#4989C2211yescharacteristic, complemented
109#4989C2211yescharacteristic, complemented
110#4987C2211yescharacteristic
111#4985C2211yescharacteristic, complemented
112#4983C2211yescharacteristic, complemented
113#4982C2211yescharacteristic, complemented
114#4982C2211yescharacteristic, complemented
115#4982C2211yescharacteristic, complemented
116#4980C2211yescharacteristic, complemented
117#4980C2211yescharacteristic, complemented
118#4980C2211yescharacteristic, complemented
119#4978C2211yescharacteristic, complemented
120#4976C2211yescharacteristic, complemented
121#4976C2211yescharacteristic, complemented
122#4972C2211yescharacteristic, complemented
123#4961C2211yescharacteristic
124#4961C2211yescharacteristic
125#4961C2211yescharacteristic
126#4961C2211yescharacteristic, complemented
127#4960C2211yescharacteristic
128#4959C2211yescharacteristic
129#4959C2211yescharacteristic
130#4958C2211yescharacteristic
131#4958C2211yescharacteristic
132#4958C2211yescharacteristic
133#4957C2211yescharacteristic
134#4957C2211yescharacteristic
135#4957C2211yescharacteristic
136#4956C2211yescharacteristic
137#4956C2211yescharacteristic
138#4956C2211yescharacteristic, complemented
139#4956C2211yescharacteristic, complemented
140#4955C2211yescharacteristic
141#4955C2211yescharacteristic
142#4952C2211yescharacteristic
143#4952C2211yescharacteristic
144#4952C2211yescharacteristic, complemented
145#4951C2211yescharacteristic
146#4951C2211yescharacteristic, complemented
147#4950C2211yescharacteristic, complemented
148#4949C2211yescharacteristic, complemented
149#4948C2211yescharacteristic, complemented
150#4946C2211yescharacteristic
151#4946C2211yescharacteristic, complemented
152#4945C2211yescharacteristic
153#4945C2211yescharacteristic, complemented
154#4945C2211yescharacteristic, complemented
155#4944C2211yescharacteristic, complemented
156#4943C2211yescharacteristic
157#4942C2211yescharacteristic, complemented
158#4940C2211yescharacteristic
159#4940C2211yescharacteristic
160#4940C2211yescharacteristic, complemented
161C4×(C2×D3)⋊C4C2211yescharacteristic
162C4×(C2×D3)⋊C4C2211yescharacteristic
163C4×(C2×D3)⋊C4C2211yescharacteristic, complemented
164C4×Dic3⋊C4C2211yescharacteristic, complemented
165#4929C2211yescharacteristic, complemented
166#4676C2211yescharacteristic
167#4675C2211yescharacteristic
168#4675C2211yescharacteristic
169#4672C2211yescharacteristic
170#4670C2211yescharacteristic
171#4670C2211yescharacteristic
172#4670C2211yescharacteristic
173#4669C2211yescharacteristic
174#4669C2211yescharacteristic, complemented
175#4668C2211yescharacteristic
176#4668C2211yescharacteristic
177#4668C2211yescharacteristic, complemented
178#4665C2211yescharacteristic
179#4665C2211yescharacteristic
180D3×#95C2211yescharacteristic, complemented
181#4661C2211yescharacteristic, complemented
182#4660C2211yescharacteristic, complemented
183#4657C2211yescharacteristic, complemented
184#4657C2211yescharacteristic, complemented
185#4654C2211yescharacteristic, complemented
186#4651C2211yescharacteristic, complemented
187#4649C2211yescharacteristic, complemented
188#4647C2211yescharacteristic, complemented
189#4646C2211yescharacteristic, complemented
190C2×#538—31no—
191C2×#529—31no—
192#2852—31no—
193#2730—31no—
194#2728—31no—
195#2722—31no—
196#2718—31no—
197#2691—31no—
198#2685—31no—
199#2671—31no—
200#2668—31no—
201#2664—31no—
202#2633—31no—
203#2476—31no—
204#2470—31no—
205#2468—31no—
206#2464—31no—
207#2464—31no—
208#2455—31no—
209#2448—31no—
210#2444—31no—
211#2425—31no—
212#2424—31no—
213#2423—31no—
214#2422D311yescharacteristic, complemented
215#2418—31no—
216#2418—31no—
217#2359—31no—
218#2342—31no—
219#2337—31no—
220C4×#121—31no—
221C24×D3C2311yescharacteristic
222C22×C3×D4C2311yescharacteristic
223C22×C3×D4C2311yescharacteristic
224C22×C3×D4C2311yescharacteristic
225C23×C3×C4C2311yescharacteristic
226C23×C3×C4C2311yescharacteristic
227C23×C3×C4C2311yescharacteristic
228C22×#67C2311yescharacteristic
229C22×#67C2311yescharacteristic
230C22×#67C2311yescharacteristic
231C22×#67C2311yescharacteristic
232C22×#67C2311yescharacteristic
233C22×#67C2311yescharacteristic
234C22×#67C2311yescharacteristic
235C23×Dic3C2311yescharacteristic
236C23×Dic3C2311yescharacteristic
237C23×Dic3C2311yescharacteristic
238C22×D12C2311yescharacteristic
239C22×D12C2311yescharacteristic
240C22×C4×D3C2311yescharacteristic
241C22×C4×D3C2311yescharacteristic
242C22×C4×D3C2311yescharacteristic
243C22×C4×D3C2311yescharacteristic
244C22×C4×D3C2311yescharacteristic
245C22×Dic6C2311yescharacteristic
246C3×#123—24no—
247C3×#123—24no—
248C3×#121—42no—
249C3×C4×D4—42no—
250C2×C3×C4⋊C4C2311yescharacteristic
251C2×C3×C4⋊C4C2311yescharacteristic
252C2×C3×C4⋊C4C2311yescharacteristic
253C2×C3×C4⋊C4C2311yescharacteristic
254C2×C3×C4⋊C4C2311yescharacteristic
255C2×C3×C4⋊C4C2311yescharacteristic
256C2×C3×C4⋊C4C2311yescharacteristic
257C2×C3×C4⋊C4C2311yescharacteristic
258C2×C3×C4⋊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×C42C2311yescharacteristic
272C2×C3×C42C2311yescharacteristic
273C2×#217C2311yescharacteristic
274C2×#217C2311yescharacteristic
275C2×#217C2311yescharacteristic
276C2×#217C2311yescharacteristic
277C2×#217C2311yescharacteristic
278C2×#217C2311yescharacteristic
279C2×#217C2311yescharacteristic
280C2×#217C2311yescharacteristic
281C2×#217C2311yescharacteristic
282C2×#217C2311yescharacteristic
283C2×#217C2311yescharacteristic
284C2×#217C2311yescharacteristic
285C2×#217C2311yescharacteristic
286#939—24no—
287#939—24no—
288#938—24no—
289#937—24no—
290#937—42no—
291D4×Dic3—24no—
292#930—24no—
293#929—24no—
294C4×#67—24no—
295C4×#67—42no—
296C2×(C2×D3)⋊C4—24no—
297C2×(C2×D3)⋊C4C2311yescharacteristic
298C2×(C2×D3)⋊C4C2311yescharacteristic
299C2×(C2×D3)⋊C4C2311yescharacteristic
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×C4⋊Dic3C2311yescharacteristic
325C2×C4⋊Dic3C2311yescharacteristic
326C2×C4⋊Dic3C2311yescharacteristic
327C2×C4⋊Dic3C2311yescharacteristic
328C2×C4⋊Dic3C2311yescharacteristic
329C2×C4⋊Dic3C2311yescharacteristic
330C2×C4⋊Dic3C2311yescharacteristic
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×Dic3⋊C4C2311yescharacteristic
347C2×Dic3⋊C4C2311yescharacteristic
348C2×C4×Dic3—24no—
349C2×C4×Dic3C2311yescharacteristic
350C2×C4×Dic3C2311yescharacteristic
351C2×C4×Dic3C2311yescharacteristic
352C2×C4×Dic3C2311yescharacteristic
353C2×C4×Dic3C2311yescharacteristic
354C2×C4×Dic3C2311yescharacteristic
355C2×C4×Dic3C2311yescharacteristic
356C2×C4×Dic3C2311yescharacteristic
357C2×C4×Dic3C2311yescharacteristic
358#898—24no—
359#898—24no—
360#897—24no—
361#894—24no—
362#894—24no—
363#893—24no—
364#892—24no—
365#889—24no—
366#887—24no—
367#885—24no—
368#885D418yescomplemented
369#884—24no—
370#884—42no—
371#883—42no—
372#882—24no—
373#67⋊C4—24no—
374#67⋊C4—24no—
375D3×C22⋊C4—24no—
376#879—24no—
377#879—24no—
378#878—24no—
379#877—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
414#538—68no—
415#529—68no—
416C2×#126—31no—
417C2×#126—31no—
418C2×#126—31no—
419C2×#126—31no—
420C2×#125—31no—
421C2×#124—31no—
422C2×#124—31no—
423C2×#123—31no—
424C2×#123—31no—
425C2×#123—31no—
426C2×#123—31no—
427C2×#123C2×D311yescharacteristic
428C2×#123C2×D311yescharacteristic
429C2×C22⋊Q8—31no—
430C2×C22⋊Q8—31no—
431C2×#121—31no—
432C2×#121—31no—
433C2×#121—31no—
434C2×#121—31no—
435C2×#121—31no—
436C2×#121—31no—
437C2×#121C2×D311yescharacteristic
438C2×#120—31no—
439C2×#120—31no—
440C2×#120—31no—
441C2×C4×Q8—31no—
442C2×C4×D4—31no—
443C2×C4×D4—31no—
444C2×C4×D4—31no—
445C2×C4×D4—31no—
446C2×C4×D4—31no—
447C2×C4×D4—31no—
448C2×C4×D4C2×D311yescharacteristic, complemented
449C2×#117—31no—
450C2×#117—31no—
451C22×C22⋊C4—31no—
452C22×C22⋊C4—31no—
453C22×C42—31no—
454#400—31no—
455#400—31no—
456#399—31no—
457#399—31no—
458#399—31no—
459#399—31no—
460#399—31no—
461#398—31no—
462#398—31no—
463#398—31no—
464#398—31no—
465#398—31no—
466#398—31no—
467#398—31no—
468#397—31no—
469#397—31no—
470#397—31no—
471#397—31no—
472#397—31no—
473#397C2×D311yescharacteristic, complemented
474#397C2×D311yescharacteristic, complemented
475#396—31no—
476#396—31no—
477#396—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#394—31no—
487#394—31no—
488#394—31no—
489#394C2×D311yescharacteristic
490#394C2×D311yescharacteristic
491#392—31no—
492#392—31no—
493#392—31no—
494#391—31no—
495#391—31no—
496#390—31no—
497#390—31no—
498#390—31no—
499#390C2×D311yescharacteristic, complemented
500#389—31no—
501#389—31no—
502#389—31no—
503#389—31no—
504#389C2×D311yescharacteristic, complemented
505#388—31no—
506#388—31no—
507#388—31no—
508#388—31no—
509#388—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#387—31no—
524#387—31no—
525#387—31no—
526#387—31no—
527#387—31no—
528#386—31no—
529#386—31no—
530#386—31no—
531#386—31no—
532#386—31no—
533#386—31no—
534#386—31no—
535#386—31no—
536#386—31no—
537#386—31no—
538#386—31no—
539#386—31no—
540#386—31no—
541#385—31no—
542#385—31no—
543#385—31no—
544#385—31no—
545#385—31no—
546#385—31no—
547#385—31no—
548#385—31no—
549#385—31no—
550#385—31no—
551#385—31no—
552#385C2×D311yescharacteristic, complemented
553#385C2×D311yescharacteristic, complemented
554#384C2×D311yescharacteristic, complemented
555#383—31no—
556#381—31no—
557#380—31no—
558#380—31no—
559#380—31no—
560#380C2×D311yescharacteristic
561#379—31no—
562#379—31no—
563C4×C4⋊C4—31no—
564C4×C4⋊C4—31no—
565C4×C22⋊C4—31no—
566C4×C22⋊C4—31no—
567C4×C22⋊C4—31no—
568C4×C22⋊C4—31no—
569C4×C22⋊C4C2×D311yescharacteristic
570C2×#95—31no—
571C24×C3C2411yescharacteristic
572C24×C3C2411yescharacteristic
573C24×C3C2411yescharacteristic
574C23×D3—22no—
575C23×D3—22no—
576C23×D3—41no—
577C23×D3—41no—
578C23×D3—41no—
579C23×D3—41no—
580C23×D3—41no—
581C23×D3C2411yescharacteristic
582C23×D3C2411yescharacteristic
583C23×D3C2411yescharacteristic
584C2×C3×D4—22no—
585C2×C3×D4—22no—
586C2×C3×D4—22no—
587C2×C3×D4—22no—
588C2×C3×D4—22no—
589C2×C3×D4—41no—
590C2×C3×D4—41no—
591C2×C3×D4—41no—
592C2×C3×D4—41no—
593C22×C3×C4—22no—
594C22×C3×C4—22no—
595C22×C3×C4—22no—
596C22×C3×C4—22no—
597C22×C3×C4—41no—
598C22×C3×C4—41no—
599C22×C3×C4—41no—
600C22×C3×C4—41no—
601C22×C3×C4—41no—
602C22×C3×C4C2411yescharacteristic
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
614C2×#67—22no—
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—41no—
624C2×#67—41no—
625C2×#67—41no—
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×#67C2×D414yes—
635C22×Dic3—22no—
636C22×Dic3—22no—
637C22×Dic3—22no—
638C22×Dic3—22no—
639C22×Dic3—22no—
640C22×Dic3—41no—
641C22×Dic3—41no—
642C22×Dic3—41no—
643C22×Dic3—41no—
644C22×Dic3C2411yescharacteristic
645C22×Dic3C2411yescharacteristic
646C22×Dic3C2411yescharacteristic
647C22×Dic3C2411yescharacteristic
648C22×Dic3C2411yescharacteristic
649C22×Dic3C2411yescharacteristic
650C22×Dic3C2411yescharacteristic
651C22×Dic3C2411yescharacteristic
652C22×Dic3C2411yescharacteristic
653C22×Dic3C2411yescharacteristic
654C22×Dic3C2411yescharacteristic
655C22×Dic3C2411yescharacteristic
656C22×Dic3C2411yescharacteristic
657C2×D12—22no—
658C2×D12—22no—
659C2×D12—22no—
660C2×D12—41no—
661C2×D12—41no—
662C2×D12—41no—
663C2×C4×D3—22no—
664C2×C4×D3—22no—
665C2×C4×D3—22no—
666C2×C4×D3—22no—
667C2×C4×D3—22no—
668C2×C4×D3—41no—
669C2×C4×D3—41no—
670C2×C4×D3—41no—
671C2×C4×D3—41no—
672C2×C4×D3—41no—
673C2×C4×D3—41no—
674C2×C4×D3—41no—
675C2×C4×D3—41no—
676C2×C4×D3—41no—
677C2×C4×D3—41no—
678C2×Dic6—41no—
679C2×Dic6—41no—
680C2×Dic6C2×D414yes—
681C3×C4⋊C4—22no—
682C3×C4⋊C4—22no—
683C3×C4⋊C4—22no—
684C3×C4⋊C4—22no—
685C3×C4⋊C4—22no—
686C3×C4⋊C4—41no—
687C3×C4⋊C4—41no—
688C3×C4⋊C4—41no—
689C3×C4⋊C4—41no—
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—41no—
697C3×C22⋊C4—41no—
698C3×C22⋊C4—41no—
699C3×C22⋊C4—41no—
700C3×C22⋊C4—41no—
701C3×C22⋊C4C2×D414yes—
702C3×C42—41no—
703C3×C42—41no—
704#217—22no—
705#217—22no—
706#217—22no—
707#217—22no—
708#217—22no—
709#217—22no—
710#217—41no—
711#217—41no—
712#217—41no—
713#217—41no—
714#217—41no—
715#217—41no—
716#217C2×D414yes—
717(C2×D3)⋊C4—22no—
718(C2×D3)⋊C4—22no—
719(C2×D3)⋊C4—22no—
720(C2×D3)⋊C4—22no—
721(C2×D3)⋊C4—22no—
722(C2×D3)⋊C4—22no—
723(C2×D3)⋊C4—22no—
724(C2×D3)⋊C4—22no—
725(C2×D3)⋊C4—22no—
726(C2×D3)⋊C4—22no—
727(C2×D3)⋊C4—22no—
728(C2×D3)⋊C4—22no—
729(C2×D3)⋊C4—22no—
730(C2×D3)⋊C4—41no—
731(C2×D3)⋊C4—41no—
732(C2×D3)⋊C4—41no—
733(C2×D3)⋊C4—41no—
734(C2×D3)⋊C4—41no—
735(C2×D3)⋊C4—41no—
736(C2×D3)⋊C4—41no—
737(C2×D3)⋊C4—41no—
738(C2×D3)⋊C4—41no—
739(C2×D3)⋊C4—41no—
740(C2×D3)⋊C4—41no—
741(C2×D3)⋊C4C2×D414yes—
742(C2×D3)⋊C4C2×D414yes—
743(C2×D3)⋊C4#4114yes—
744C4⋊Dic3—22no—
745C4⋊Dic3—22no—
746C4⋊Dic3—22no—
747C4⋊Dic3—22no—
748C4⋊Dic3—41no—
749C4⋊Dic3—41no—
750C4⋊Dic3—41no—
751Dic3⋊C4—22no—
752Dic3⋊C4—22no—
753Dic3⋊C4—22no—
754Dic3⋊C4—22no—
755Dic3⋊C4—22no—
756Dic3⋊C4—22no—
757Dic3⋊C4—22no—
758Dic3⋊C4—22no—
759Dic3⋊C4—22no—
760Dic3⋊C4—22no—
761Dic3⋊C4—41no—
762Dic3⋊C4—41no—
763Dic3⋊C4—41no—
764Dic3⋊C4—41no—
765Dic3⋊C4—41no—
766Dic3⋊C4—41no—
767Dic3⋊C4—41no—
768C4×Dic3—22no—
769C4×Dic3—22no—
770C4×Dic3—22no—
771C4×Dic3—22no—
772C4×Dic3—22no—
773C4×Dic3—22no—
774C4×Dic3—41no—
775C4×Dic3—41no—
776C4×Dic3C2×D414yes—
777C25—31no—
778C22×Q8—31no—
779C22×D4—31no—
780C22×D4—31no—
781C22×D4—31no—
782C22×D4—31no—
783C22×D4—31no—
784C22×D4—31no—
785C22×D4—31no—
786C22×D4—31no—
787C22×D4—31no—
788C22×D4C22×D311yescharacteristic
789C22×D4C22×D311yescharacteristic
790C22×D4C22×D311yescharacteristic
791C23×C4—31no—
792C23×C4—31no—
793C23×C4—31no—
794C23×C4—31no—
795C23×C4—31no—
796C23×C4—31no—
797C23×C4—31no—
798C23×C4—31no—
799C23×C4C22×D311yescharacteristic
800C23×C4C22×D311yescharacteristic
801C23×C4C22×D311yescharacteristic
802#126—64no—
803#126—64no—
804#126—64no—
805#126—64no—
806#125—64no—
807#124—38no—
808#124—64no—
809#123—24no—
810#123—24no—
811#123—64no—
812#123—64no—
813#123—64no—
814#123—122no—
815C22⋊Q8—64no—
816C22⋊Q8—64no—
817#121—42no—
818#121—64no—
819#121—64no—
820#121—64no—
821#121—64no—
822#121—64no—
823#121—122no—
824#120—64no—
825#120—64no—
826#120—122no—
827C4×Q8—64no—
828C4×D4—42no—
829C4×D4—64no—
830C4×D4—64no—
831C4×D4—64no—
832C4×D4—64no—
833C4×D4—64no—
834C4×D4—122no—
835#117—64no—
836#117—64no—
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⋊C4C22×D311yescharacteristic
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×C4⋊C4C22×D311yescharacteristic
869C2×C4⋊C4C22×D311yescharacteristic
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⋊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—31no—
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—64no—
934C2×C42C22×D311yescharacteristic
935C2×C42C22×D311yescharacteristic
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#95C22×D311yescharacteristic
965#95C22×D311yescharacteristic
966#95C22×D311yescharacteristic
967#95C22×D311yescharacteristic
968#95C22×D311yescharacteristic
969#95C22×D311yescharacteristic
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—21no—
988C23×C3—21no—
989C23×C3C22×D412yes—
990C23×C3H(5,𝔽2)12yes—
991C23×C3C2511yescharacteristic
992C22×D3—21no—
993C22×D3—21no—
994C22×D3—21no—
995C22×D3—21no—
996C22×D3—21no—
997C22×D3—21no—
998C22×D3—21no—
999C22×D3—21no—
1000C22×D3—21no—
1001C22×D3—21no—
1002C22×D3—21no—
1003C22×D3—21no—
1004C22×D3—21no—
1005C22×D3—21no—
1006C22×D3—21no—
1007C22×D3—21no—
1008C22×D3—21no—
1009C22×D3—21no—
1010C22×D3—21no—
1011C22×D3—44no—
1012C22×D3—44no—
1013C22×D3—82no—
1014C22×D3—82no—
1015C22×D3—82no—
1016C22×D3—82no—
1017C22×D3—82no—
1018C22×D3C22×D412yes—
1019C22×D3C2×#4112yes—
1020C3×D4—44no—
1021C3×D4—44no—
1022C3×D4—82no—
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×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—21no—
1053C2×C3×C4—21no—
1054C2×C3×C4—21no—
1055C2×C3×C4—21no—
1056C2×C3×C4—44no—
1057C2×C3×C4—82no—
1058C2×C3×C4—82no—
1059C2×C3×C4C22×D412yes—
1060C2×C3×C4C22×D412yes—
1061C2×C3×C4C2×#4112yes—
1062#67—44no—
1063#67—44no—
1064#67—44no—
1065#67—44no—
1066#67—82no—
1067#67—82no—
1068#67—82no—
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—44no—
1105C2×Dic3—44no—
1106C2×Dic3—44no—
1107C2×Dic3C22×D412yes—
1108C2×Dic3C22×D412yes—
1109C2×Dic3C22×D412yes—
1110C2×Dic3C2×#4112yes—
1111D12—44no—
1112D12—82no—
1113C4×D3—44no—
1114C4×D3—82no—
1115C4×D3—82no—
1116C4×D3—82no—
1117C4×D3—82no—
1118Dic6—44no—
1119C24—31no—
1120C24—31no—
1121C24—31no—
1122C24—62no—
1123C24—62no—
1124C24—121no—
1125C24—121no—
1126C24—121no—
1127C24—121no—
1128C24—121no—
1129C24C23×D311yescharacteristic
1130C24C23×D311yescharacteristic
1131C24C23×D311yescharacteristic
1132C2×Q8—34no—
1133C2×Q8—121no—
1134C2×Q8—121no—
1135C2×D4—22no—
1136C2×D4—22no—
1137C2×D4—22no—
1138C2×D4—22no—
1139C2×D4—22no—
1140C2×D4—34no—
1141C2×D4—41no—
1142C2×D4—41no—
1143C2×D4—41no—
1144C2×D4—41no—
1145C2×D4—62no—
1146C2×D4—62no—
1147C2×D4—62no—
1148C2×D4—62no—
1149C2×D4—62no—
1150C2×D4—62no—
1151C2×D4—62no—
1152C2×D4—62no—
1153C2×D4—62no—
1154C2×D4—62no—
1155C2×D4—62no—
1156C2×D4—62no—
1157C2×D4—121no—
1158C2×D4—121no—
1159C2×D4—121no—
1160C2×D4—121no—
1161C2×D4—121no—
1162C2×D4—121no—
1163C2×D4—121no—
1164C2×D4—121no—
1165C2×D4—121no—
1166C2×D4—121no—
1167C2×D4—121no—
1168C2×D4—121no—
1169C2×D4—121no—
1170C2×D4—121no—
1171C22×C4—22no—
1172C22×C4—22no—
1173C22×C4—22no—
1174C22×C4—22no—
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—41no—
1189C22×C4—41no—
1190C22×C4—41no—
1191C22×C4—41no—
1192C22×C4—41no—
1193C22×C4—62no—
1194C22×C4—62no—
1195C22×C4—62no—
1196C22×C4—62no—
1197C22×C4—62no—
1198C22×C4—62no—
1199C22×C4—62no—
1200C22×C4—62no—
1201C22×C4—62no—
1202C22×C4—62no—
1203C22×C4—121no—
1204C22×C4—121no—
1205C22×C4—121no—
1206C22×C4—121no—
1207C22×C4—121no—
1208C22×C4—121no—
1209C22×C4—121no—
1210C22×C4—121no—
1211C22×C4—121no—
1212C22×C4—121no—
1213C22×C4—121no—
1214C22×C4—121no—
1215C22×C4—121no—
1216C22×C4—121no—
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
1227C22×C4C23×D311yescharacteristic
1228C22×C4C23×D311yescharacteristic
1229C4⋊C4—22no—
1230C4⋊C4—22no—
1231C4⋊C4—22no—
1232C4⋊C4—22no—
1233C4⋊C4—22no—
1234C4⋊C4—41no—
1235C4⋊C4—41no—
1236C4⋊C4—41no—
1237C4⋊C4—41no—
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—62no—
1251C4⋊C4—62no—
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—
1262C22⋊C4—22no—
1263C22⋊C4—22no—
1264C22⋊C4—22no—
1265C22⋊C4—22no—
1266C22⋊C4—22no—
1267C22⋊C4—22no—
1268C22⋊C4—34no—
1269C22⋊C4—34no—
1270C22⋊C4—34no—
1271C22⋊C4—34no—
1272C22⋊C4—41no—
1273C22⋊C4—41no—
1274C22⋊C4—41no—
1275C22⋊C4—41no—
1276C22⋊C4—41no—
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⋊C4—121no—
1310C22⋊C4—121no—
1311C22⋊C4—121no—
1312C22⋊C4—121no—
1313C22⋊C4D3×D414yes—
1314C42—34no—
1315C42—41no—
1316C42—41no—
1317C42—62no—
1318C42—62no—
1319C42—62no—
1320C42—62no—
1321C42—62no—
1322C42—62no—
1323C42—121no—
1324C42—121no—
1325C22×C3—22no—
1326C22×C3—22no—
1327C22×C3—22no—
1328C22×C3—22no—
1329C22×C3—22no—
1330C22×C3—22no—
1331C22×C3—41no—
1332C22×C3—41no—
1333C22×C3—41no—
1334C22×C3—41no—
1335C22×C3—41no—
1336C22×C3—41no—
1337C22×C3—41no—
1338C22×C3—41no—
1339C22×C3—41no—
1340C22×C3—41no—
1341C22×C3—41no—
1342C22×C3—41no—
1343C22×C3—41no—
1344C22×C3—41no—
1345C22×C3—41no—
1346C22×C3C23×D411yescharacteristic
1347C22×C3C22×#4111yescharacteristic
1348C22×C3C2×H(5,𝔽2)11yescharacteristic
1349C22×C3#58511yescharacteristic
1350C22×C3#58511yescharacteristic
1351C22×C3#58511yescharacteristic
1352C22×C3#58511yescharacteristic
1353C2×D3—22no—
1354C2×D3—22no—
1355C2×D3—22no—
1356C2×D3—22no—
1357C2×D3—22no—
1358C2×D3—22no—
1359C2×D3—41no—
1360C2×D3—41no—
1361C2×D3—41no—
1362C2×D3—41no—
1363C2×D3—41no—
1364C2×D3—41no—
1365C2×D3—41no—
1366C2×D3—41no—
1367C2×D3—41no—
1368C2×D3—41no—
1369C2×D3—41no—
1370C2×D3—41no—
1371C2×D3—41no—
1372C2×D3—41no—
1373C2×D3—41no—
1374C2×D3—88no—
1375C3×C4—22no—
1376C3×C4—22no—
1377C3×C4—22no—
1378C3×C4—41no—
1379C3×C4—41no—
1380C3×C4—41no—
1381C3×C4—41no—
1382C3×C4—41no—
1383C3×C4—41no—
1384C3×C4—41no—
1385C3×C4—41no—
1386C3×C4—41no—
1387Dic3—22no—
1388Dic3—22no—
1389Dic3—22no—
1390Dic3—22no—
1391Dic3—41no—
1392Dic3—41no—
1393Dic3—41no—
1394Dic3—41no—
1395Dic3—41no—
1396Dic3—41no—
1397Dic3—41no—
1398Dic3—41no—
1399Dic3—41no—
1400C23—21no—
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—21no—
1414C23—21no—
1415C23—21no—
1416C23—21no—
1417C23—21no—
1418C23—21no—
1419C23—32no—
1420C23—32no—
1421C23—61no—
1422C23—61no—
1423C23—61no—
1424C23—61no—
1425C23—61no—
1426C23—61no—
1427C23—61no—
1428C23—61no—
1429C23—61no—
1430C23—61no—
1431C23—61no—
1432C23—61no—
1433C23—61no—
1434C23—61no—
1435C23—61no—
1436C23—61no—
1437C23—61no—
1438C23—61no—
1439C23—61no—
1440C23—124no—
1441C23—124no—
1442C23—242no—
1443C23—242no—
1444C23—242no—
1445C23—242no—
1446C23—242no—
1447C23C2×D3×D412yes—
1448C23#100412yes—
1449C23C24×D311yescharacteristic
1450Q8—124no—
1451D4—44no—
1452D4—44no—
1453D4—82no—
1454D4—124no—
1455D4—124no—
1456D4—124no—
1457D4—124no—
1458D4—124no—
1459D4—242no—
1460D4—242no—
1461D4—242no—
1462D4—242no—
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—21no—
1474C2×C4—21no—
1475C2×C4—21no—
1476C2×C4—21no—
1477C2×C4—21no—
1478C2×C4—21no—
1479C2×C4—21no—
1480C2×C4—21no—
1481C2×C4—21no—
1482C2×C4—21no—
1483C2×C4—21no—
1484C2×C4—21no—
1485C2×C4—21no—
1486C2×C4—21no—
1487C2×C4—21no—
1488C2×C4—21no—
1489C2×C4—21no—
1490C2×C4—21no—
1491C2×C4—21no—
1492C2×C4—21no—
1493C2×C4—21no—
1494C2×C4—21no—
1495C2×C4—21no—
1496C2×C4—32no—
1497C2×C4—32no—
1498C2×C4—32no—
1499C2×C4—32no—
1500C2×C4—44no—
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—61no—
1530C2×C4—61no—
1531C2×C4—61no—
1532C2×C4—61no—
1533C2×C4—61no—
1534C2×C4—61no—
1535C2×C4—61no—
1536C2×C4—82no—
1537C2×C4—82no—
1538C2×C4—124no—
1539C2×C4—124no—
1540C2×C4—124no—
1541C2×C4—124no—
1542C2×C4—242no—
1543C2×C4—242no—
1544C2×C4—242no—
1545C2×C4—242no—
1546C2×C4C2×D3×D412yes—
1547C2×C4C2×D3×D412yes—
1548C2×C4D3×#4112yes—
1549C2×C3—42no—
1550C2×C3—42no—
1551C2×C3—81no—
1552C2×C3#345511yescharacteristic
1553C2×C3D4×#4111yescharacteristic
1554C2×C3#348511yescharacteristic
1555C2×C3#348811yescharacteristic
1556C2×C3#351311yescharacteristic
1557C2×C3#356011yescharacteristic
1558C2×C3#356611yescharacteristic
1559D3—42no—
1560D3—42no—
1561D3—81no—
1562C22—22no—
1563C22—22no—
1564C22—22no—
1565C22—22no—
1566C22—22no—
1567C22—22no—
1568C22—41no—
1569C22—41no—
1570C22—41no—
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—62no—
1584C22—62no—
1585C22—62no—
1586C22—62no—
1587C22—62no—
1588C22—62no—
1589C22—121no—
1590C22—121no—
1591C22—121no—
1592C22—121no—
1593C22—121no—
1594C22—121no—
1595C22—121no—
1596C22—121no—
1597C22—121no—
1598C22—121no—
1599C22—121no—
1600C22—121no—
1601C22—121no—
1602C22—121no—
1603C22—121no—
1604C22—248no—
1605C22C22×D3×D411yescharacteristic
1606C22C2×#100411yescharacteristic
1607C22C2×D3×#4111yescharacteristic
1608C22#596411yescharacteristic
1609C22#596411yescharacteristic
1610C22#596611yescharacteristic
1611C22#596811yescharacteristic
1612C4—22no—
1613C4—22no—
1614C4—22no—
1615C4—41no—
1616C4—41no—
1617C4—41no—
1618C4—41no—
1619C4—41no—
1620C4—41no—
1621C4—41no—
1622C4—41no—
1623C4—41no—
1624C4—62no—
1625C4—62no—
1626C4—62no—
1627C4—62no—
1628C4—121no—
1629C4—121no—
1630C4—121no—
1631C4—121no—
1632C4—121no—
1633C4—121no—
1634C4—121no—
1635C4—121no—
1636C4—121no—
1637C3#3772811yescharacteristic, complemented, Sylow
1638C2—42no—
1639C2—42no—
1640C2—81no—
1641C2—122no—
1642C2—122no—
1643C2—241no—
1644C2#8601311yescharacteristic
1645C2#8623811yescharacteristic
1646C2#8652311yescharacteristic
1647C2#8660711yescharacteristic
1648C2#8669711yescharacteristic
1649C2#8670011yescharacteristic
1650C2#8690611yescharacteristic
subgroupG/H
center, FrattiniC23C24×D3
commutator, socle, cosocleC23×C3C25
FittingC3×#2422C2
hypercenter#2422D3
hypocenterC3#37728
LCSG ▷ C23×C3 ▷ C3
UCSC1 ◁ C23 ◁ #2422

Complements

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

NH ≅ G/Ntype
1. C2×#5657C2semidirect
2. C2×#5649C2semidirect
3. C3×#2422C2semidirect
4. #82896C2semidirect
5. #82854C2semidirect
6. #82716C2semidirect
7. #82706C2semidirect
8. #82413C2semidirect
9. C4×#939C2semidirect
10. #77703C2semidirect
11. #77695C2semidirect
12. #77672C2semidirect
13. #77469C2semidirect
14. #77141C2semidirect
15. #77127C2semidirect
16. #77118C2semidirect
17. #76923C2semidirect
18. #76447C2semidirect
19. #76400C2semidirect
20. #76204C2semidirect
21. #76108C2semidirect
22. #74611C2semidirect
23. #74587C2semidirect
24. #74503C2semidirect
25. #74447C2semidirect
26. #74372C2semidirect
27. #74363C2semidirect
28. #74021C2semidirect
29. #73972C2semidirect
30. #73575C2semidirect
31. #73452C2semidirect
36. C2×C3×C4×D4C22semidirect
44. C2×#929C22semidirect
48. C22×C4×Dic3C22semidirect
52. C2×#898C22semidirect
57. C2×#892C22semidirect
58. C2×#889C22semidirect
59. C2×#887C22semidirect
64. C2×#883C22semidirect
67. C2×#67⋊C4C22semidirect
71. C2×#878C22semidirect
73. C3×#397C22semidirect
74. C3×#397C22semidirect
77. C3×#390C22semidirect
78. C3×#389C22semidirect
79. C3×#385C22semidirect
80. C3×#385C22semidirect
81. C3×#384C22semidirect
85. #5223C22semidirect
89. #5220C22semidirect
94. #5210C22semidirect
95. C4×#217C22semidirect
108. #4989C22semidirect
109. #4989C22semidirect
111. #4985C22semidirect
112. #4983C22semidirect
113. #4982C22semidirect
114. #4982C22semidirect
115. #4982C22semidirect
116. #4980C22semidirect
117. #4980C22semidirect
118. #4980C22semidirect
119. #4978C22semidirect
120. #4976C22semidirect
121. #4976C22semidirect
122. #4972C22semidirect
126. #4961C22semidirect
138. #4956C22semidirect
139. #4956C22semidirect
144. #4952C22semidirect
146. #4951C22semidirect
147. #4950C22semidirect
148. #4949C22semidirect
149. #4948C22semidirect
151. #4946C22semidirect
153. #4945C22semidirect
154. #4945C22semidirect
155. #4944C22semidirect
157. #4942C22semidirect
160. #4940C22semidirect
163. C4×(C2×D3)⋊C4C22semidirect
164. C4×Dic3⋊C4C22semidirect
165. #4929C22semidirect
174. #4669C22semidirect
177. #4668C22semidirect
180. D3×#95C22semidirect
181. #4661C22semidirect
182. #4660C22semidirect
183. #4657C22semidirect
184. #4657C22semidirect
185. #4654C22semidirect
186. #4651C22semidirect
187. #4649C22semidirect
188. #4647C22semidirect
189. #4646C22semidirect
214. #2422D3semidirect
368. #885D4semidirect
448. C2×C4×D4C2×D3semidirect
473. #397C2×D3semidirect
474. #397C2×D3semidirect
499. #390C2×D3semidirect
504. #389C2×D3semidirect
552. #385C2×D3semidirect
553. #385C2×D3semidirect
554. #384C2×D3semidirect
1637. C3#37728semidirect

Maximal subgroups

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

subgroupindex
C2×#56572
C2×#56492
C3×#24222
#828962
#828542
#827162
#827062
#824132
C4×#9392
#777032
#776952
#776722
#774692
#771412
#771272
#771182
#769232
#764472
#764002
#762042
#761082
#746112
#745872
#745032
#744472
#743722
#743632
#740212
#739722
#735752
#734522
#377283