Finite Group Databasebeta

← #11080740

Subgroups — #11080740

Order 768.

2538 conjugacy classes of subgroups.

The subgroup lattice has 1686 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#5693C211yesmaximal, characteristic, complemented
2C2×#5547C211yesmaximal, characteristic, complemented
3C3×#2633C211yesmaximal, characteristic, complemented
4#83040C211yesmaximal, characteristic, complemented
5#82396C211yesmaximal, characteristic, complemented
6#78118C211yesmaximal, characteristic, complemented
7#78116C211yesmaximal, characteristic, complemented
8#78037C211yesmaximal, characteristic, complemented
9#78036C211yesmaximal, characteristic, complemented
10#77983C211yesmaximal, characteristic, complemented
11#77853C211yesmaximal, characteristic, complemented
12#77744C211yesmaximal, characteristic, complemented
13#77742C211yesmaximal, characteristic, complemented
14#77690C211yesmaximal, characteristic, complemented
15#77581C211yesmaximal, characteristic, complemented
16#77487C211yesmaximal, characteristic, complemented
17#77486C211yesmaximal, characteristic, complemented
18#77143C211yesmaximal, characteristic, complemented
19#77137C211yesmaximal, characteristic, complemented
20#76901C211yesmaximal, characteristic, complemented
21#76898C211yesmaximal, characteristic, complemented
22#74655C211yesmaximal, characteristic, complemented
23#74503C211yesmaximal, characteristic, complemented
24#74496C211yesmaximal, characteristic, complemented
25#74477C211yesmaximal, characteristic, complemented
26#74411C211yesmaximal, characteristic, complemented
27#74404C211yesmaximal, characteristic, complemented
28#74385C211yesmaximal, characteristic, complemented
29#74379C211yesmaximal, characteristic, complemented
30#74307C211yesmaximal, characteristic, complemented
31#74263C211yesmaximal, characteristic, complemented
32#39887—31nomaximal, Sylow
33C22×#235C2211yescharacteristic
34C23×C4×D3C2211yescharacteristic
35C2×C3×#125C2211yescharacteristic, complemented
36C2×C3×C4×D4C2211yescharacteristic
37C2×#939C2211yescharacteristic
38C2×#938C2211yescharacteristic
39C2×#937C2211yescharacteristic
40C2×C4×#67C2211yescharacteristic
41C2×C4×#67C2211yescharacteristic
42#5693—28no—
43#5547—28no—
44C2×#898C2211yescharacteristic
45C2×#898C2211yescharacteristic
46C2×#896C2211yescharacteristic
47C2×#896C2211yescharacteristic
48C2×#896C2211yescharacteristic
49C2×#896C2211yescharacteristic, complemented
50C2×#896C2211yescharacteristic, complemented
51C2×#894C2211yescharacteristic
52C2×#894C2211yescharacteristic
53C2×#894C2211yescharacteristic
54C2×#893C2211yescharacteristic
55C2×#893C2211yescharacteristic
56C2×#892C2211yescharacteristic, complemented
57C2×D3×C4⋊C4C2211yescharacteristic, complemented
58C2×#889C2211yescharacteristic, complemented
59C2×#889C2211yescharacteristic, complemented
60C2×#888C2211yescharacteristic, complemented
61C2×#887C2211yescharacteristic, complemented
62C2×#885C2211yescharacteristic, complemented
63C2×#884C2211yescharacteristic
64C2×#884C2211yescharacteristic
65C2×#884C2211yescharacteristic, complemented
66C2×#883C2211yescharacteristic
67C2×#882C2211yescharacteristic
68C2×#882C2211yescharacteristic
69C2×#67⋊C4C2211yescharacteristic
70C2×#878C2211yescharacteristic
71C2×#878C2211yescharacteristic
72C2×C4×D12C2211yescharacteristic
73C2×#872C2211yescharacteristic
74C2×#872C2211yescharacteristic, complemented
75C3×#399C2211yescharacteristic
76C3×#399C2211yescharacteristic, complemented
77C3×#398C2211yescharacteristic, complemented
78C3×#398C2211yescharacteristic, complemented
79C3×#397C2211yescharacteristic
80C3×#397C2211yescharacteristic, complemented
81C3×#394C2211yescharacteristic
82C3×#394C2211yescharacteristic
83C3×#385C2211yescharacteristic
84C3×#385C2211yescharacteristic
85C3×#385C2211yescharacteristic, complemented
86C3×#385C2211yescharacteristic, complemented
87C3×#383C2211yescharacteristic, complemented
88#5221C2211yescharacteristic
89#5213C2211yescharacteristic
90#5213C2211yescharacteristic, complemented
91#5210C2211yescharacteristic
92#5210C2211yescharacteristic, complemented
93#4994C2211yescharacteristic
94#4994C2211yescharacteristic
95#4994C2211yescharacteristic
96#4994C2211yescharacteristic, complemented
97#4994C2211yescharacteristic, complemented
98#4993C2211yescharacteristic, complemented
99#4993C2211yescharacteristic, complemented
100#4991C2211yescharacteristic
101#4991C2211yescharacteristic
102#4990C2211yescharacteristic
103#4989C2211yescharacteristic
104#4989C2211yescharacteristic
105#4989C2211yescharacteristic
106#4989C2211yescharacteristic
107#4989C2211yescharacteristic, complemented
108#4989C2211yescharacteristic, complemented
109#4988C2211yescharacteristic
110#4988C2211yescharacteristic
111#4988C2211yescharacteristic, complemented
112#4987C2211yescharacteristic, complemented
113#4982C2211yescharacteristic, complemented
114#4977C2211yescharacteristic, complemented
115#4976C2211yescharacteristic, complemented
116#4975C2211yescharacteristic, complemented
117#4975C2211yescharacteristic, complemented
118#4972C2211yescharacteristic, complemented
119#4961C2211yescharacteristic
120#4961C2211yescharacteristic
121#4961C2211yescharacteristic
122#4960C2211yescharacteristic
123#4960C2211yescharacteristic
124#4959C2211yescharacteristic
125#4959C2211yescharacteristic
126#4959C2211yescharacteristic
127#4957C2211yescharacteristic
128#4957C2211yescharacteristic
129#4957C2211yescharacteristic
130#4957C2211yescharacteristic
131#4957C2211yescharacteristic
132#4957C2211yescharacteristic, complemented
133#4957C2211yescharacteristic, complemented
134#4957C2211yescharacteristic, complemented
135#4956C2211yescharacteristic, complemented
136#4955C2211yescharacteristic
137#4955C2211yescharacteristic
138#4955C2211yescharacteristic
139#4952C2211yescharacteristic
140#4951C2211yescharacteristic
141#4949C2211yescharacteristic
142#4948C2211yescharacteristic, complemented
143#4948C2211yescharacteristic, complemented
144#4945C2211yescharacteristic
145#4945C2211yescharacteristic, complemented
146#4945C2211yescharacteristic, complemented
147#4942C2211yescharacteristic
148Dic3×C22⋊C4C2211yescharacteristic
149C4×C4⋊Dic3C2211yescharacteristic, complemented
150#4677C2211yescharacteristic, complemented
151#4676C2211yescharacteristic
152#4675C2211yescharacteristic, complemented
153#4672C2211yescharacteristic
154#4672C2211yescharacteristic
155#4671C2211yescharacteristic
156#4671C2211yescharacteristic
157#4670C2211yescharacteristic
158#4670C2211yescharacteristic
159#4670C2211yescharacteristic
160#4670C2211yescharacteristic, complemented
161#4670C2211yescharacteristic, complemented
162#4669C2211yescharacteristic
163#4669C2211yescharacteristic
164#4668C2211yescharacteristic
165#4668C2211yescharacteristic
166#4668C2211yescharacteristic, complemented
167#4667C2211yescharacteristic
168#4667C2211yescharacteristic
169#4667C2211yescharacteristic, complemented
170#4666C2211yescharacteristic
171#4666C2211yescharacteristic
172#4665C2211yescharacteristic
173#4665C2211yescharacteristic
174#4665C2211yescharacteristic
175#4665C2211yescharacteristic
176#4665C2211yescharacteristic, complemented
177#4665C2211yescharacteristic, complemented
178#4660C2211yescharacteristic, complemented
179#4659C2211yescharacteristic, complemented
180#4657C2211yescharacteristic, complemented
181#4651C2211yescharacteristic, complemented
182#4650C2211yescharacteristic, complemented
183#4649C2211yescharacteristic, complemented
184#4649C2211yescharacteristic, complemented
185#4649C2211yescharacteristic, complemented
186#4647C2211yescharacteristic, complemented
187#4647C2211yescharacteristic, complemented
188#4646C2211yescharacteristic, complemented
189#4646C2211yescharacteristic, complemented
190C2×#552—31no—
191C2×#525—31no—
192#2848—31no—
193#2718—31no—
194#2718—31no—
195#2706—31no—
196#2706—31no—
197#2685—31no—
198#2685—31no—
199#2678—31no—
200#2678—31no—
201#2633—31no—
202#2633D311yescharacteristic, complemented
203#2598—31no—
204#2598—31no—
205#2566—31no—
206#2566—31no—
207#2542—31no—
208#2540—31no—
209#2490—31no—
210#2489—31no—
211#2432—31no—
212#2429—31no—
213#2426—31no—
214#2417—31no—
215#2416—31no—
216#2407—31no—
217#2347—31no—
218#2324—31no—
219#2324—31no—
220C4×#120—31no—
221C24×D3C2311yescharacteristic
222C22×C3×D4C2311yescharacteristic
223C23×C3×C4C2311yescharacteristic
224C23×C3×C4C2311yescharacteristic
225C22×#67C2311yescharacteristic
226C22×#67C2311yescharacteristic
227C22×#67C2311yescharacteristic
228C22×#67C2311yescharacteristic
229C22×#67C2311yescharacteristic
230C22×#67C2311yescharacteristic
231C23×Dic3C2311yescharacteristic
232C2×#235—24no—
233C2×#235—42no—
234C2×#235—42no—
235C22×D12C2311yescharacteristic
236C22×D12C2311yescharacteristic
237C22×D12C2311yescharacteristic
238C22×D12C2311yescharacteristic
239C22×D12C2311yescharacteristic
240C22×C4×D3—24no—
241C22×C4×D3—42no—
242C22×C4×D3—42no—
243C22×C4×D3C2311yescharacteristic
244C22×C4×D3C2311yescharacteristic
245C22×C4×D3C2311yescharacteristic
246C22×C4×D3C2311yescharacteristic
247C22×C4×D3C2311yescharacteristic
248C22×C4×D3C2311yescharacteristic
249C22×C4×D3C2311yescharacteristic
250C22×C4×D3C2311yescharacteristic
251C22×Dic6C2311yescharacteristic
252C22×Dic6C2311yescharacteristic
253C3×#125—24no—
254C3×C4×D4—24no—
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×C4⋊C4C2311yescharacteristic
264C2×C3×C4⋊C4C2311yescharacteristic
265C2×C3×C4⋊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×C42C2311yescharacteristic
277C2×#217C2311yescharacteristic
278C2×#217C2311yescharacteristic
279C2×#217C2311yescharacteristic
280C2×#217C2311yescharacteristic
281C2×#217C2311yescharacteristic
282C2×#217C2311yescharacteristic
283C2×#217C2311yescharacteristic
284C2×#217C2311yescharacteristic
285#939—24no—
286#938—24no—
287#937—24no—
288C4×#67—24no—
289C4×#67—24no—
290C2×(C2×D3)⋊C4C2311yescharacteristic
291C2×(C2×D3)⋊C4C2311yescharacteristic
292C2×(C2×D3)⋊C4C2311yescharacteristic
293C2×(C2×D3)⋊C4C2311yescharacteristic
294C2×(C2×D3)⋊C4C2311yescharacteristic
295C2×(C2×D3)⋊C4C2311yescharacteristic
296C2×(C2×D3)⋊C4C2311yescharacteristic
297C2×(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×Dic3⋊C4C2311yescharacteristic
349C2×Dic3⋊C4C2311yescharacteristic
350C2×Dic3⋊C4C2311yescharacteristic
351C2×C4×Dic3C2311yescharacteristic
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
361#898—24no—
362#898—24no—
363#896—24no—
364#896—24no—
365#896—24no—
366#896—42no—
367#896—42no—
368#894—24no—
369#894—24no—
370#894—24no—
371#893—24no—
372#893—42no—
373#892—24no—
374D3×C4⋊C4—24no—
375#889—24no—
376#889—24no—
377#888—42no—
378#887—24no—
379#885—42no—
380#884—24no—
381#884—24no—
382#884—42no—
383#883—24no—
384#882—24no—
385#882—24no—
386#67⋊C4—42no—
387#878—24no—
388#878—42no—
389C4×D12—24no—
390#872—24no—
391#872D418yescomplemented
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
420C22×#41—31no—
421C24×C4—31no—
422#552—68no—
423C2×C4⋊Q8—31no—
424C2×#126—31no—
425C2×#126—31no—
426C2×#125—31no—
427C2×#125—31no—
428C2×#125C2×D311yescharacteristic, complemented
429C2×#124—31no—
430#525—68no—
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×C22⋊Q8—31no—
440C2×C22⋊Q8—31no—
441C2×C22⋊Q8—31no—
442C2×#121—31no—
443C2×#121—31no—
444C2×#121—31no—
445C2×#121—31no—
446C2×#121—31no—
447C2×#120—31no—
448C2×#120—31no—
449C2×#120—31no—
450C2×C4×Q8—31no—
451C2×C4×D4—31no—
452C2×C4×D4—31no—
453C2×C4×D4—31no—
454C2×C4×D4—31no—
455C2×C4×D4—31no—
456C2×C4×D4—31no—
457C2×C4×D4C2×D311yescharacteristic
458C2×#117—31no—
459C2×#117—31no—
460C2×#117—31no—
461C22×C4⋊C4—31no—
462#400—31no—
463#400—31no—
464#399—31no—
465#399—31no—
466#399—31no—
467#399—31no—
468#399C2×D311yescharacteristic
469#399C2×D311yescharacteristic, complemented
470#398—31no—
471#398—31no—
472#398C2×D311yescharacteristic, complemented
473#398C2×D311yescharacteristic, complemented
474#397—31no—
475#397—31no—
476#397C2×D311yescharacteristic
477#397C2×D311yescharacteristic, complemented
478#396—31no—
479#396—31no—
480#396—31no—
481#396—31no—
482#396—31no—
483#396—31no—
484#396—31no—
485#396—31no—
486#394—31no—
487#394—31no—
488#394—31no—
489#394—31no—
490#394—31no—
491#394—31no—
492#394—31no—
493#394—31no—
494#394—31no—
495#394—31no—
496#394C2×D311yescharacteristic
497#394C2×D311yescharacteristic
498#392—31no—
499#392—31no—
500#392—31no—
501#392—31no—
502#391—31no—
503#391—31no—
504#390—31no—
505#390—31no—
506#390—31no—
507#390—31no—
508#390—31no—
509#390—31no—
510#390—31no—
511#390—31no—
512#390—31no—
513#390—31no—
514#390—31no—
515#390—31no—
516#389—31no—
517#389—31no—
518#389—31no—
519#389—31no—
520#388—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#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
553#385C2×D311yescharacteristic
554#385C2×D311yescharacteristic, complemented
555#385C2×D311yescharacteristic, complemented
556#384—31no—
557#384—31no—
558#383—31no—
559#383C2×D311yescharacteristic, complemented
560#382—31no—
561#382—31no—
562#380—31no—
563#380—31no—
564#380—31no—
565#380—31no—
566#380—31no—
567#379—31no—
568#379—31no—
569#379—31no—
570C4×C4⋊C4—31no—
571C4×C4⋊C4—31no—
572C4×C4⋊C4—31no—
573C4×C4⋊C4—31no—
574C4×C22⋊C4—31no—
575C4×C22⋊C4—31no—
576C4×C22⋊C4—31no—
577C24×C3C2411yescharacteristic
578C24×C3C2411yescharacteristic
579C23×D3—22no—
580C23×D3—22no—
581C23×D3—22no—
582C23×D3—41no—
583C23×D3—41no—
584C23×D3—41no—
585C23×D3—41no—
586C23×D3C2411yescharacteristic
587C23×D3C2411yescharacteristic
588C23×D3C2411yescharacteristic
589C23×D3C2411yescharacteristic
590C2×C3×D4—22no—
591C2×C3×D4—22no—
592C2×C3×D4—41no—
593C22×C3×C4—22no—
594C22×C3×C4—22no—
595C22×C3×C4—41no—
596C22×C3×C4—41no—
597C22×C3×C4—41no—
598C22×C3×C4—41no—
599C22×C3×C4C2411yescharacteristic
600C22×C3×C4C2411yescharacteristic
601C22×C3×C4C2411yescharacteristic
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
612C2×#67—22no—
613C2×#67—22no—
614C2×#67—22no—
615C2×#67—22no—
616C2×#67—22no—
617C2×#67—22no—
618C2×#67—22no—
619C2×#67—22no—
620C2×#67—22no—
621C2×#67—41no—
622C2×#67—41no—
623C2×#67—41no—
624C2×#67—41no—
625C2×#67—41no—
626C2×#67—41no—
627C2×#67—41no—
628C2×#67—41no—
629C2×#67#4114yescomplemented
630C22×Dic3—22no—
631C22×Dic3—22no—
632C22×Dic3—22no—
633C22×Dic3C2411yescharacteristic
634C22×Dic3C2411yescharacteristic
635C22×Dic3C2411yescharacteristic
636C22×Dic3C2411yescharacteristic
637C22×Dic3C2411yescharacteristic
638C22×Dic3C2411yescharacteristic
639C22×Dic3C2411yescharacteristic
640C22×Dic3C2411yescharacteristic
641C22×Dic3C2411yescharacteristic
642C22×Dic3C2411yescharacteristic
643C22×Dic3C2411yescharacteristic
644C22×Dic3C2411yescharacteristic
645#235—416no—
646C2×D12—22no—
647C2×D12—22no—
648C2×D12—22no—
649C2×D12—22no—
650C2×D12—22no—
651C2×D12—22no—
652C2×D12—22no—
653C2×D12—22no—
654C2×D12—41no—
655C2×D12—41no—
656C2×D12—41no—
657C2×D12—41no—
658C2×D12—41no—
659C2×D12—41no—
660C2×D12—41no—
661C2×C4×D3—22no—
662C2×C4×D3—22no—
663C2×C4×D3—22no—
664C2×C4×D3—22no—
665C2×C4×D3—22no—
666C2×C4×D3—22no—
667C2×C4×D3—22no—
668C2×C4×D3—22no—
669C2×C4×D3—22no—
670C2×C4×D3—22no—
671C2×C4×D3—22no—
672C2×C4×D3—22no—
673C2×C4×D3—22no—
674C2×C4×D3—22no—
675C2×C4×D3—22no—
676C2×C4×D3—416no—
677C2×C4×D3—41no—
678C2×C4×D3—41no—
679C2×C4×D3—41no—
680C2×C4×D3—41no—
681C2×C4×D3—41no—
682C2×C4×D3—41no—
683C2×C4×D3—41no—
684C2×C4×D3—41no—
685C2×C4×D3C2×D414yes—
686C2×Dic6—22no—
687C2×Dic6—22no—
688C2×Dic6—22no—
689C2×Dic6—22no—
690C2×Dic6—22no—
691C2×Dic6—22no—
692C3×C4⋊C4—22no—
693C3×C4⋊C4—22no—
694C3×C4⋊C4—22no—
695C3×C4⋊C4—22no—
696C3×C4⋊C4—22no—
697C3×C4⋊C4—22no—
698C3×C4⋊C4—22no—
699C3×C4⋊C4—41no—
700C3×C4⋊C4—41no—
701C3×C4⋊C4—41no—
702C3×C4⋊C4—41no—
703C3×C22⋊C4—22no—
704C3×C22⋊C4—22no—
705C3×C22⋊C4—22no—
706C3×C22⋊C4—22no—
707C3×C22⋊C4—41no—
708C3×C22⋊C4—41no—
709C3×C22⋊C4—41no—
710C3×C22⋊C4—41no—
711C3×C22⋊C4—41no—
712C3×C22⋊C4—41no—
713C3×C42C2×D414yes—
714#217—22no—
715#217—22no—
716#217—22no—
717#217—22no—
718#217—41no—
719#217—41no—
720#217—41no—
721#217—41no—
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—22no—
731(C2×D3)⋊C4—22no—
732(C2×D3)⋊C4—22no—
733(C2×D3)⋊C4—22no—
734(C2×D3)⋊C4—22no—
735(C2×D3)⋊C4—22no—
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)⋊C4—41no—
742(C2×D3)⋊C4—41no—
743(C2×D3)⋊C4—41no—
744(C2×D3)⋊C4—41no—
745(C2×D3)⋊C4—41no—
746(C2×D3)⋊C4—41no—
747(C2×D3)⋊C4—41no—
748(C2×D3)⋊C4—41no—
749(C2×D3)⋊C4—41no—
750(C2×D3)⋊C4—41no—
751(C2×D3)⋊C4—41no—
752(C2×D3)⋊C4—41no—
753(C2×D3)⋊C4—41no—
754(C2×D3)⋊C4C2×D414yes—
755(C2×D3)⋊C4C2×D414yes—
756C4⋊Dic3—22no—
757C4⋊Dic3—22no—
758C4⋊Dic3—22no—
759C4⋊Dic3—22no—
760C4⋊Dic3—41no—
761C4⋊Dic3—41no—
762C4⋊Dic3—41no—
763Dic3⋊C4—22no—
764Dic3⋊C4—22no—
765Dic3⋊C4—22no—
766Dic3⋊C4—22no—
767Dic3⋊C4—22no—
768Dic3⋊C4—22no—
769Dic3⋊C4—22no—
770Dic3⋊C4—22no—
771Dic3⋊C4—22no—
772Dic3⋊C4—22no—
773Dic3⋊C4—22no—
774Dic3⋊C4—41no—
775Dic3⋊C4—41no—
776Dic3⋊C4—41no—
777Dic3⋊C4—41no—
778Dic3⋊C4—41no—
779Dic3⋊C4—41no—
780Dic3⋊C4—41no—
781Dic3⋊C4C2×D414yes—
782Dic3⋊C4C2×D414yes—
783C4×Dic3—22no—
784C4×Dic3—22no—
785C4×Dic3—22no—
786C4×Dic3—22no—
787C4×Dic3—22no—
788C4×Dic3—41no—
789C4×Dic3—41no—
790C4×Dic3—41no—
791C4×Dic3—41no—
792C4×Dic3C2×D414yes—
793C25—31no—
794C2×#41—64no—
795C2×#41—122no—
796C2×#41—122no—
797C22×Q8—31no—
798C22×Q8—31no—
799C22×D4—31no—
800C22×D4—31no—
801C22×D4—31no—
802C22×D4—31no—
803C22×D4—31no—
804C22×D4—31no—
805C22×D4—31no—
806C22×D4—31no—
807C22×D4—31no—
808C22×D4—31no—
809C22×D4—31no—
810C22×D4C22×D311yescharacteristic
811C23×C4—31no—
812C23×C4—31no—
813C23×C4—31no—
814C23×C4—31no—
815C23×C4—31no—
816C23×C4—31no—
817C23×C4—31no—
818C23×C4—31no—
819C23×C4—31no—
820C23×C4—64no—
821C23×C4—122no—
822C23×C4—122no—
823C23×C4C22×D311yescharacteristic
824C23×C4C22×D311yescharacteristic
825C4⋊Q8—122no—
826#126—64no—
827#126—64no—
828#125—24no—
829#125—64no—
830#125—64no—
831#124—122no—
832#123—64no—
833#123—64no—
834#123—64no—
835#123—64no—
836C22⋊Q8—64no—
837C22⋊Q8—64no—
838C22⋊Q8—64no—
839C22⋊Q8—64no—
840C22⋊Q8—122no—
841C22⋊Q8—122no—
842C22⋊Q8—122no—
843#121—64no—
844#121—64no—
845#121—64no—
846#121—64no—
847#121—122no—
848#120—64no—
849#120—64no—
850#120—64no—
851C4×Q8—64no—
852C4×D4—24no—
853C4×D4—64no—
854C4×D4—64no—
855C4×D4—64no—
856C4×D4—64no—
857C4×D4—122no—
858C4×D4—122no—
859#117—38no—
860#117—64no—
861#117—64no—
862C2×C4⋊C4—31no—
863C2×C4⋊C4—31no—
864C2×C4⋊C4—31no—
865C2×C4⋊C4—31no—
866C2×C4⋊C4—31no—
867C2×C4⋊C4—31no—
868C2×C4⋊C4—31no—
869C2×C4⋊C4—31no—
870C2×C4⋊C4—31no—
871C2×C4⋊C4—31no—
872C2×C4⋊C4—31no—
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—64no—
890C2×C4⋊C4C22×D311yescharacteristic
891C2×C4⋊C4C22×D311yescharacteristic
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⋊C4C22×D311yescharacteristic
944C2×C22⋊C4C22×D311yescharacteristic
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×C42—31no—
954C2×C42—31no—
955C2×C42—31no—
956C2×C42—31no—
957C2×C42—31no—
958C2×C42—31no—
959C2×C42—31no—
960C2×C42—31no—
961C2×C42—31no—
962C2×C42—31no—
963C2×C42C22×D311yescharacteristic
964#95—31no—
965#95—31no—
966#95—31no—
967#95—31no—
968#95—31no—
969#95—31no—
970#95—31no—
971#95—31no—
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#95C22×D311yescharacteristic
983#95C22×D311yescharacteristic
984#95C22×D311yescharacteristic
985#95C22×D311yescharacteristic
986#95C22×D311yescharacteristic
987#95C22×D311yescharacteristic
988#95C22×D311yescharacteristic
989#95C22×D311yescharacteristic
990#95C22×D311yescharacteristic
991#95C22×D311yescharacteristic
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—21no—
1002C23×C3—21no—
1003C23×C3—21no—
1004C23×C3—21no—
1005C23×C3C2×#4112yes—
1006C23×C3C2511yescharacteristic
1007C22×D3—21no—
1008C22×D3—21no—
1009C22×D3—21no—
1010C22×D3—21no—
1011C22×D3—21no—
1012C22×D3—21no—
1013C22×D3—21no—
1014C22×D3—21no—
1015C22×D3—21no—
1016C22×D3—21no—
1017C22×D3—21no—
1018C22×D3—21no—
1019C22×D3—21no—
1020C22×D3—21no—
1021C22×D3—21no—
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—44no—
1033C22×D3—44no—
1034C22×D3—44no—
1035C22×D3—44no—
1036C22×D3—44no—
1037C22×D3—44no—
1038C22×D3—44no—
1039C22×D3C22×D412yes—
1040C22×D3C2×#4112yes—
1041C22×D32−1+412yes—
1042C3×D4—44no—
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—21no—
1057C2×C3×C4—21no—
1058C2×C3×C4—21no—
1059C2×C3×C4—21no—
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—44no—
1080C2×C3×C4—44no—
1081C2×C3×C4C22×D412yes—
1082C2×C3×C4C22×D412yes—
1083C2×C3×C4C22×D412yes—
1084#67—44no—
1085#67—44no—
1086#67—44no—
1087#67—44no—
1088#67—44no—
1089#67—82no—
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—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—44no—
1121C2×Dic3C22×D412yes—
1122C2×Dic3C22×D412yes—
1123C2×Dic3C22×D412yes—
1124C2×Dic3C2×#4112yes—
1125C2×Dic3H(5,𝔽2)12yes—
1126C2×Dic3H(5,𝔽2)12yes—
1127D12—44no—
1128D12—44no—
1129D12—44no—
1130D12—44no—
1131D12—82no—
1132C4×D3—28no—
1133C4×D3—44no—
1134C4×D3—44no—
1135C4×D3—44no—
1136C4×D3—44no—
1137C4×D3—44no—
1138C4×D3—44no—
1139C4×D3—44no—
1140Dic6—44no—
1141Dic6—44no—
1142C24—31no—
1143C24—31no—
1144C24—31no—
1145C24—31no—
1146C24—62no—
1147C24—62no—
1148C24—62no—
1149C24—121no—
1150C24—121no—
1151C24—121no—
1152C24—121no—
1153C24C23×D311yescharacteristic
1154C24C23×D311yescharacteristic
1155#41—1216no—
1156C2×Q8—62no—
1157C2×Q8—62no—
1158C2×Q8—62no—
1159C2×Q8—62no—
1160C2×Q8—62no—
1161C2×Q8—62no—
1162C2×D4—22no—
1163C2×D4—22no—
1164C2×D4—34no—
1165C2×D4—41no—
1166C2×D4—62no—
1167C2×D4—62no—
1168C2×D4—62no—
1169C2×D4—62no—
1170C2×D4—62no—
1171C2×D4—62no—
1172C2×D4—62no—
1173C2×D4—62no—
1174C2×D4—62no—
1175C2×D4—62no—
1176C2×D4—62no—
1177C2×D4—62no—
1178C2×D4—62no—
1179C2×D4—62no—
1180C2×D4—62no—
1181C2×D4—62no—
1182C2×D4—62no—
1183C2×D4—121no—
1184C2×D4—121no—
1185C2×D4—121no—
1186C2×D4—121no—
1187C2×D4—121no—
1188C2×D4—121no—
1189C2×D4—121no—
1190C2×D4—121no—
1191C2×D4—121no—
1192C2×D4—121no—
1193C2×D4—121no—
1194C2×D4—121no—
1195C2×D4—121no—
1196C2×D4—121no—
1197C2×D4—121no—
1198C22×C4—22no—
1199C22×C4—22no—
1200C22×C4—31no—
1201C22×C4—31no—
1202C22×C4—31no—
1203C22×C4—31no—
1204C22×C4—34no—
1205C22×C4—31no—
1206C22×C4—31no—
1207C22×C4—31no—
1208C22×C4—31no—
1209C22×C4—31no—
1210C22×C4—31no—
1211C22×C4—31no—
1212C22×C4—31no—
1213C22×C4—41no—
1214C22×C4—41no—
1215C22×C4—41no—
1216C22×C4—41no—
1217C22×C4—62no—
1218C22×C4—62no—
1219C22×C4—62no—
1220C22×C4—62no—
1221C22×C4—62no—
1222C22×C4—62no—
1223C22×C4—62no—
1224C22×C4—62no—
1225C22×C4—62no—
1226C22×C4—62no—
1227C22×C4—62no—
1228C22×C4—62no—
1229C22×C4—62no—
1230C22×C4—62no—
1231C22×C4—62no—
1232C22×C4—62no—
1233C22×C4—62no—
1234C22×C4—62no—
1235C22×C4—121no—
1236C22×C4—121no—
1237C22×C4—121no—
1238C22×C4—121no—
1239C22×C4—121no—
1240C22×C4—121no—
1241C22×C4—121no—
1242C22×C4—121no—
1243C22×C4—1216no—
1244C22×C4C23×D311yescharacteristic
1245C22×C4C23×D311yescharacteristic
1246C22×C4C23×D311yescharacteristic
1247C22×C4C23×D311yescharacteristic
1248C22×C4C23×D311yescharacteristic
1249C22×C4C23×D311yescharacteristic
1250C22×C4C23×D311yescharacteristic
1251C22×C4C23×D311yescharacteristic
1252C22×C4C23×D311yescharacteristic
1253C22×C4C23×D311yescharacteristic
1254C22×C4C23×D311yescharacteristic
1255C22×C4C23×D311yescharacteristic
1256C22×C4C23×D311yescharacteristic
1257C4⋊C4—22no—
1258C4⋊C4—22no—
1259C4⋊C4—22no—
1260C4⋊C4—22no—
1261C4⋊C4—22no—
1262C4⋊C4—22no—
1263C4⋊C4—22no—
1264C4⋊C4—34no—
1265C4⋊C4—34no—
1266C4⋊C4—41no—
1267C4⋊C4—41no—
1268C4⋊C4—41no—
1269C4⋊C4—41no—
1270C4⋊C4—62no—
1271C4⋊C4—62no—
1272C4⋊C4—62no—
1273C4⋊C4—62no—
1274C4⋊C4—62no—
1275C4⋊C4—62no—
1276C4⋊C4—62no—
1277C4⋊C4—62no—
1278C4⋊C4—62no—
1279C4⋊C4—62no—
1280C4⋊C4—62no—
1281C4⋊C4—62no—
1282C4⋊C4—62no—
1283C4⋊C4—62no—
1284C4⋊C4—62no—
1285C4⋊C4—121no—
1286C4⋊C4—121no—
1287C4⋊C4—121no—
1288C4⋊C4—121no—
1289C4⋊C4—121no—
1290C4⋊C4—121no—
1291C4⋊C4—121no—
1292C4⋊C4—121no—
1293C4⋊C4—121no—
1294C4⋊C4—121no—
1295C22⋊C4—22no—
1296C22⋊C4—22no—
1297C22⋊C4—22no—
1298C22⋊C4—22no—
1299C22⋊C4—34no—
1300C22⋊C4—34no—
1301C22⋊C4—41no—
1302C22⋊C4—41no—
1303C22⋊C4—41no—
1304C22⋊C4—41no—
1305C22⋊C4—41no—
1306C22⋊C4—41no—
1307C22⋊C4—62no—
1308C22⋊C4—62no—
1309C22⋊C4—62no—
1310C22⋊C4—62no—
1311C22⋊C4—62no—
1312C22⋊C4—62no—
1313C22⋊C4—62no—
1314C22⋊C4—62no—
1315C22⋊C4—62no—
1316C22⋊C4—62no—
1317C22⋊C4—62no—
1318C22⋊C4—62no—
1319C22⋊C4—62no—
1320C22⋊C4—62no—
1321C22⋊C4—62no—
1322C22⋊C4—62no—
1323C22⋊C4—62no—
1324C22⋊C4—62no—
1325C22⋊C4—121no—
1326C22⋊C4—121no—
1327C22⋊C4—121no—
1328C22⋊C4—121no—
1329C22⋊C4—121no—
1330C22⋊C4—121no—
1331C22⋊C4—121no—
1332C22⋊C4—121no—
1333C22⋊C4—121no—
1334C22⋊C4—121no—
1335C22⋊C4—121no—
1336C22⋊C4—121no—
1337C22⋊C4—121no—
1338C22⋊C4—121no—
1339C22⋊C4—121no—
1340C22⋊C4—121no—
1341C22⋊C4—121no—
1342C22⋊C4—121no—
1343C22⋊C4—121no—
1344C22⋊C4—121no—
1345C22⋊C4—121no—
1346C22⋊C4—121no—
1347C42—34no—
1348C42—62no—
1349C42—62no—
1350C42—62no—
1351C42—62no—
1352C42—62no—
1353C42—121no—
1354C42—121no—
1355C42—121no—
1356C42—121no—
1357C42D3×D414yes—
1358C22×C3—22no—
1359C22×C3—22no—
1360C22×C3—22no—
1361C22×C3—41no—
1362C22×C3—41no—
1363C22×C3—41no—
1364C22×C3—41no—
1365C22×C3—41no—
1366C22×C3—41no—
1367C22×C3—41no—
1368C22×C3—41no—
1369C22×C3—41no—
1370C22×C3—41no—
1371C22×C3—41no—
1372C22×C3C23×D411yescharacteristic
1373C22×C3C22×#4111yescharacteristic
1374C22×C3C2×H(5,𝔽2)11yescharacteristic
1375C22×C3C2×H(5,𝔽2)11yescharacteristic
1376C22×C3C2×2−1+411yescharacteristic
1377C22×C3#58511yescharacteristic
1378C22×C3#58511yescharacteristic
1379C2×D3—22no—
1380C2×D3—22no—
1381C2×D3—22no—
1382C2×D3—22no—
1383C2×D3—22no—
1384C2×D3—22no—
1385C2×D3—22no—
1386C2×D3—22no—
1387C2×D3—22no—
1388C2×D3—416no—
1389C2×D3—41no—
1390C2×D3—41no—
1391C2×D3—41no—
1392C2×D3—41no—
1393C2×D3—41no—
1394C2×D3—41no—
1395C2×D3—41no—
1396C2×D3—41no—
1397C2×D3—41no—
1398C2×D3—41no—
1399C2×D3—41no—
1400C2×D3—41no—
1401C2×D3—41no—
1402C2×D3—41no—
1403C2×D3—41no—
1404C2×D3—41no—
1405C2×D3—41no—
1406C2×D3—41no—
1407C2×D3—41no—
1408C3×C4—22no—
1409C3×C4—22no—
1410C3×C4—22no—
1411C3×C4—41no—
1412C3×C4—41no—
1413C3×C4—41no—
1414C3×C4—41no—
1415C3×C4—41no—
1416C3×C4—41no—
1417C3×C4—41no—
1418C3×C4—41no—
1419C3×C4—41no—
1420C3×C4—41no—
1421Dic3—22no—
1422Dic3—22no—
1423Dic3—22no—
1424Dic3—41no—
1425Dic3—41no—
1426Dic3—41no—
1427Dic3—41no—
1428Dic3—41no—
1429Dic3—41no—
1430Dic3—41no—
1431Dic3—41no—
1432Dic3#53514yes—
1433C23—21no—
1434C23—21no—
1435C23—21no—
1436C23—21no—
1437C23—21no—
1438C23—21no—
1439C23—21no—
1440C23—21no—
1441C23—21no—
1442C23—21no—
1443C23—21no—
1444C23—21no—
1445C23—21no—
1446C23—32no—
1447C23—32no—
1448C23—32no—
1449C23—61no—
1450C23—61no—
1451C23—61no—
1452C23—61no—
1453C23—61no—
1454C23—61no—
1455C23—61no—
1456C23—61no—
1457C23—61no—
1458C23—61no—
1459C23—61no—
1460C23—61no—
1461C23—61no—
1462C23—61no—
1463C23—61no—
1464C23—61no—
1465C23—61no—
1466C23—61no—
1467C23—61no—
1468C23—61no—
1469C23—61no—
1470C23—61no—
1471C23—61no—
1472C23—61no—
1473C23—61no—
1474C23—124no—
1475C23—124no—
1476C23—124no—
1477C23—124no—
1478C23—124no—
1479C23—124no—
1480C23—124no—
1481C23D3×#4112yes—
1482C23C24×D311yescharacteristic
1483Q8—124no—
1484Q8—124no—
1485D4—44no—
1486D4—124no—
1487D4—124no—
1488D4—124no—
1489D4—124no—
1490D4—124no—
1491D4—124no—
1492D4—124no—
1493D4—124no—
1494D4—124no—
1495D4—242no—
1496D4—242no—
1497C2×C4—21no—
1498C2×C4—21no—
1499C2×C4—21no—
1500C2×C4—21no—
1501C2×C4—21no—
1502C2×C4—21no—
1503C2×C4—21no—
1504C2×C4—21no—
1505C2×C4—21no—
1506C2×C4—21no—
1507C2×C4—21no—
1508C2×C4—21no—
1509C2×C4—21no—
1510C2×C4—21no—
1511C2×C4—21no—
1512C2×C4—21no—
1513C2×C4—21no—
1514C2×C4—21no—
1515C2×C4—21no—
1516C2×C4—21no—
1517C2×C4—21no—
1518C2×C4—21no—
1519C2×C4—21no—
1520C2×C4—21no—
1521C2×C4—21no—
1522C2×C4—21no—
1523C2×C4—21no—
1524C2×C4—21no—
1525C2×C4—21no—
1526C2×C4—21no—
1527C2×C4—21no—
1528C2×C4—21no—
1529C2×C4—21no—
1530C2×C4—21no—
1531C2×C4—21no—
1532C2×C4—21no—
1533C2×C4—32no—
1534C2×C4—32no—
1535C2×C4—32no—
1536C2×C4—32no—
1537C2×C4—32no—
1538C2×C4—32no—
1539C2×C4—44no—
1540C2×C4—44no—
1541C2×C4—68no—
1542C2×C4—61no—
1543C2×C4—61no—
1544C2×C4—61no—
1545C2×C4—61no—
1546C2×C4—61no—
1547C2×C4—61no—
1548C2×C4—61no—
1549C2×C4—61no—
1550C2×C4—61no—
1551C2×C4—61no—
1552C2×C4—61no—
1553C2×C4—61no—
1554C2×C4—61no—
1555C2×C4—61no—
1556C2×C4—61no—
1557C2×C4—61no—
1558C2×C4—61no—
1559C2×C4—61no—
1560C2×C4—61no—
1561C2×C4—61no—
1562C2×C4—61no—
1563C2×C4—61no—
1564C2×C4—61no—
1565C2×C4—61no—
1566C2×C4—61no—
1567C2×C4—61no—
1568C2×C4—61no—
1569C2×C4—61no—
1570C2×C4—61no—
1571C2×C4—61no—
1572C2×C4—124no—
1573C2×C4—124no—
1574C2×C4—124no—
1575C2×C4—124no—
1576C2×C4—124no—
1577C2×C4—124no—
1578C2×C4—124no—
1579C2×C4—124no—
1580C2×C4C2×D3×D412yes—
1581C2×C4C2×D3×D412yes—
1582C2×C4C2×D3×D412yes—
1583C2×C3—42no—
1584C2×C3—81no—
1585C2×C3C2×#53511yescharacteristic
1586C2×C3D4×#4111yescharacteristic
1587C2×C3#348911yescharacteristic
1588C2×C3#350511yescharacteristic
1589C2×C3#352011yescharacteristic
1590C2×C3#353911yescharacteristic
1591C2×C3#354111yescharacteristic
1592D3—42no—
1593D3—42no—
1594D3—42no—
1595D3—81no—
1596C22—22no—
1597C22—22no—
1598C22—22no—
1599C22—41no—
1600C22—41no—
1601C22—41no—
1602C22—41no—
1603C22—41no—
1604C22—41no—
1605C22—41no—
1606C22—41no—
1607C22—41no—
1608C22—41no—
1609C22—41no—
1610C22—62no—
1611C22—62no—
1612C22—62no—
1613C22—62no—
1614C22—62no—
1615C22—62no—
1616C22—62no—
1617C22—62no—
1618C22—62no—
1619C22—1216no—
1620C22—121no—
1621C22—121no—
1622C22—121no—
1623C22—121no—
1624C22—121no—
1625C22—121no—
1626C22—121no—
1627C22—121no—
1628C22—121no—
1629C22—121no—
1630C22—121no—
1631C22—121no—
1632C22—121no—
1633C22—121no—
1634C22—121no—
1635C22—121no—
1636C22—121no—
1637C22—121no—
1638C22—121no—
1639C22C22×D3×D411yescharacteristic
1640C22C2×D3×#4111yescharacteristic
1641C22#596411yescharacteristic
1642C22D3×H(5,𝔽2)11yescharacteristic
1643C22D3×H(5,𝔽2)11yescharacteristic
1644C22D3×2−1+411yescharacteristic
1645C22#596811yescharacteristic
1646C4—22no—
1647C4—22no—
1648C4—22no—
1649C4—34no—
1650C4—41no—
1651C4—41no—
1652C4—41no—
1653C4—41no—
1654C4—41no—
1655C4—41no—
1656C4—41no—
1657C4—41no—
1658C4—41no—
1659C4—41no—
1660C4—62no—
1661C4—62no—
1662C4—62no—
1663C4—121no—
1664C4—121no—
1665C4—121no—
1666C4—121no—
1667C4—121no—
1668C4—121no—
1669C4—121no—
1670C4—121no—
1671C3#3988711yescharacteristic, complemented, Sylow
1672C2—42no—
1673C2—81no—
1674C2—122no—
1675C2—122no—
1676C2—122no—
1677C2—241no—
1678C2#8603711yescharacteristic
1679C2D3×#53511yescharacteristic
1680C2#8635611yescharacteristic
1681C2#8643611yescharacteristic
1682C2#8643711yescharacteristic
1683C2#8645411yescharacteristic
1684C2#8645611yescharacteristic
subgroupG/H
center, FrattiniC23C24×D3
commutator, socle, cosocleC23×C3C25
FittingC3×#2633C2
hypercenter#2633D3
hypocenterC3#39887
LCSG ▷ C23×C3 ▷ C3
UCSC1 ◁ C23 ◁ #2633

Complements

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

NH ≅ G/Ntype
1. C2×#5693C2semidirect
2. C2×#5547C2semidirect
3. C3×#2633C2semidirect
4. #83040C2semidirect
5. #82396C2semidirect
6. #78118C2semidirect
7. #78116C2semidirect
8. #78037C2semidirect
9. #78036C2semidirect
10. #77983C2semidirect
11. #77853C2semidirect
12. #77744C2semidirect
13. #77742C2semidirect
14. #77690C2semidirect
15. #77581C2semidirect
16. #77487C2semidirect
17. #77486C2semidirect
18. #77143C2semidirect
19. #77137C2semidirect
20. #76901C2semidirect
21. #76898C2semidirect
22. #74655C2semidirect
23. #74503C2semidirect
24. #74496C2semidirect
25. #74477C2semidirect
26. #74411C2semidirect
27. #74404C2semidirect
28. #74385C2semidirect
29. #74379C2semidirect
30. #74307C2semidirect
31. #74263C2semidirect
35. C2×C3×#125C22semidirect
49. C2×#896C22semidirect
50. C2×#896C22semidirect
56. C2×#892C22semidirect
57. C2×D3×C4⋊C4C22semidirect
58. C2×#889C22semidirect
59. C2×#889C22semidirect
60. C2×#888C22semidirect
61. C2×#887C22semidirect
62. C2×#885C22semidirect
65. C2×#884C22semidirect
74. C2×#872C22semidirect
76. C3×#399C22semidirect
77. C3×#398C22semidirect
78. C3×#398C22semidirect
80. C3×#397C22semidirect
85. C3×#385C22semidirect
86. C3×#385C22semidirect
87. C3×#383C22semidirect
90. #5213C22semidirect
92. #5210C22semidirect
96. #4994C22semidirect
97. #4994C22semidirect
98. #4993C22semidirect
99. #4993C22semidirect
107. #4989C22semidirect
108. #4989C22semidirect
111. #4988C22semidirect
112. #4987C22semidirect
113. #4982C22semidirect
114. #4977C22semidirect
115. #4976C22semidirect
116. #4975C22semidirect
117. #4975C22semidirect
118. #4972C22semidirect
132. #4957C22semidirect
133. #4957C22semidirect
134. #4957C22semidirect
135. #4956C22semidirect
142. #4948C22semidirect
143. #4948C22semidirect
145. #4945C22semidirect
146. #4945C22semidirect
149. C4×C4⋊Dic3C22semidirect
150. #4677C22semidirect
152. #4675C22semidirect
160. #4670C22semidirect
161. #4670C22semidirect
166. #4668C22semidirect
169. #4667C22semidirect
176. #4665C22semidirect
177. #4665C22semidirect
178. #4660C22semidirect
179. #4659C22semidirect
180. #4657C22semidirect
181. #4651C22semidirect
182. #4650C22semidirect
183. #4649C22semidirect
184. #4649C22semidirect
185. #4649C22semidirect
186. #4647C22semidirect
187. #4647C22semidirect
188. #4646C22semidirect
189. #4646C22semidirect
202. #2633D3semidirect
391. #872D4semidirect
428. C2×#125C2×D3semidirect
469. #399C2×D3semidirect
472. #398C2×D3semidirect
473. #398C2×D3semidirect
477. #397C2×D3semidirect
554. #385C2×D3semidirect
555. #385C2×D3semidirect
559. #383C2×D3semidirect
629. C2×#67#41semidirect
1671. C3#39887semidirect

Maximal subgroups

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

subgroupindex
C2×#56932
C2×#55472
C3×#26332
#830402
#823962
#781182
#781162
#780372
#780362
#779832
#778532
#777442
#777422
#776902
#775812
#774872
#774862
#771432
#771372
#769012
#768982
#746552
#745032
#744962
#744772
#744112
#744042
#743852
#743792
#743072
#742632
#398873