Finite Group Databasebeta

← #11025889

Subgroups — #11025889

Order 768.

2292 conjugacy classes of subgroups.

The subgroup lattice has 1650 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#5704C211yesmaximal, characteristic, complemented
2C2×#5528C211yesmaximal, characteristic, complemented
3C3×#2479C211yesmaximal, characteristic, complemented
4#83085C211yesmaximal, characteristic, complemented
5#82244C211yesmaximal, characteristic, complemented
6#78116C211yesmaximal, characteristic, complemented
7#78115C211yesmaximal, characteristic, complemented
8#78113C211yesmaximal, characteristic, complemented
9#78071C211yesmaximal, characteristic, complemented
10#77970C211yesmaximal, characteristic, complemented
11#77864C211yesmaximal, characteristic, complemented
12#77136C211yesmaximal, characteristic, complemented
13#77024C211yesmaximal, characteristic, complemented
14#76460C211yesmaximal, characteristic, complemented
15#76330C211yesmaximal, characteristic, complemented
16#76213C211yesmaximal, characteristic, complemented
17#75996C211yesmaximal, characteristic, complemented
18#75960C211yesmaximal, characteristic, complemented
19#75901C211yesmaximal, characteristic, complemented
20#75853C211yesmaximal, characteristic, complemented
21#75845C211yesmaximal, characteristic, complemented
22#75832C211yesmaximal, characteristic, complemented
23#75546C211yesmaximal, characteristic, complemented
24#75302C211yesmaximal, characteristic, complemented
25#74990C211yesmaximal, characteristic, complemented
26#74894C211yesmaximal, characteristic, complemented
27#74716C211yesmaximal, characteristic, complemented
28#74434C211yesmaximal, characteristic, complemented
29#74432C211yesmaximal, characteristic, complemented
30#73784C211yesmaximal, characteristic, complemented
31C4×#894C211yesmaximal, characteristic, complemented
32#37733—31nomaximal, Sylow
33C2×C3×#126C2211yescharacteristic
34C2×C3×#117C2211yescharacteristic, complemented
35C2×#937C2211yescharacteristic
36C2×#930C2211yescharacteristic
37C2×C4×#67C2211yescharacteristic
38C2×C4×#67C2211yescharacteristic, complemented
39#5704—28no—
40#5528—28no—
41C2×#898C2211yescharacteristic
42C2×#898C2211yescharacteristic
43C2×#896C2211yescharacteristic
44C2×#896C2211yescharacteristic
45C2×#896C2211yescharacteristic, complemented
46C2×#895C2211yescharacteristic
47C2×#895C2211yescharacteristic
48C2×#894C2211yescharacteristic
49C2×#894C2211yescharacteristic
50C2×#894C2211yescharacteristic, complemented
51C2×#893C2211yescharacteristic
52C2×#889C2211yescharacteristic, complemented
53C2×#888C2211yescharacteristic, complemented
54C2×#885C2211yescharacteristic
55C2×#885C2211yescharacteristic
56C2×#884C2211yescharacteristic
57C2×#884C2211yescharacteristic
58C2×#884C2211yescharacteristic
59C2×#883C2211yescharacteristic
60C2×#883C2211yescharacteristic
61C2×#883C2211yescharacteristic, complemented
62C2×#882C2211yescharacteristic
63C2×#882C2211yescharacteristic
64C2×D3×C22⋊C4C2211yescharacteristic
65C2×D3×C22⋊C4C2211yescharacteristic
66C2×#879C2211yescharacteristic, complemented
67C2×#875C2211yescharacteristic
68C2×C4×D12C2211yescharacteristic
69C2×C4×D12C2211yescharacteristic
70C2×#872C2211yescharacteristic
71C2×C42×D3C2211yescharacteristic, complemented
72C2×C4×Dic6C2211yescharacteristic, complemented
73C3×#399C2211yescharacteristic
74C3×#399C2211yescharacteristic, complemented
75C3×#398C2211yescharacteristic, complemented
76C3×#394C2211yescharacteristic
77C3×#390C2211yescharacteristic
78C3×#389C2211yescharacteristic, complemented
79C3×#388C2211yescharacteristic
80C3×#388C2211yescharacteristic
81C3×#388C2211yescharacteristic, complemented
82C3×#387C2211yescharacteristic, complemented
83C3×#386C2211yescharacteristic
84C3×#385C2211yescharacteristic, complemented
85C3×C4×C4⋊C4C2211yescharacteristic, complemented
86#5223C2211yescharacteristic
87#5223C2211yescharacteristic
88#5222C2211yescharacteristic
89C4×#217C2211yescharacteristic, complemented
90#4994C2211yescharacteristic
91#4994C2211yescharacteristic
92#4992C2211yescharacteristic
93#4992C2211yescharacteristic, complemented
94#4991C2211yescharacteristic
95#4991C2211yescharacteristic
96#4991C2211yescharacteristic, complemented
97#4990C2211yescharacteristic
98#4990C2211yescharacteristic, complemented
99#4989C2211yescharacteristic
100#4989C2211yescharacteristic
101#4989C2211yescharacteristic, complemented
102#4988C2211yescharacteristic
103#4988C2211yescharacteristic
104#4987C2211yescharacteristic
105#4987C2211yescharacteristic, complemented
106#4983C2211yescharacteristic, complemented
107#4982C2211yescharacteristic, complemented
108#4982C2211yescharacteristic, complemented
109#4980C2211yescharacteristic, complemented
110#4979C2211yescharacteristic, complemented
111#4977C2211yescharacteristic, complemented
112#4976C2211yescharacteristic, complemented
113#4976C2211yescharacteristic, complemented
114#4976C2211yescharacteristic, complemented
115Dic3×C4⋊C4C2211yescharacteristic, complemented
116#4972C2211yescharacteristic, complemented
117#4961C2211yescharacteristic
118#4961C2211yescharacteristic
119#4961C2211yescharacteristic, complemented
120#4960C2211yescharacteristic
121#4960C2211yescharacteristic, complemented
122#4959C2211yescharacteristic
123#4959C2211yescharacteristic
124#4959C2211yescharacteristic
125#4957C2211yescharacteristic
126#4957C2211yescharacteristic
127#4957C2211yescharacteristic
128#4957C2211yescharacteristic, complemented
129#4957C2211yescharacteristic, complemented
130#4956C2211yescharacteristic
131#4956C2211yescharacteristic
132#4956C2211yescharacteristic
133#4956C2211yescharacteristic, complemented
134#4955C2211yescharacteristic
135#4955C2211yescharacteristic
136#4952C2211yescharacteristic, complemented
137#4951C2211yescharacteristic
138#4949C2211yescharacteristic
139#4948C2211yescharacteristic
140#4948C2211yescharacteristic, complemented
141#4947C2211yescharacteristic
142#4947C2211yescharacteristic, complemented
143#4945C2211yescharacteristic
144#4945C2211yescharacteristic
145#4945C2211yescharacteristic
146#4944C2211yescharacteristic
147#4944C2211yescharacteristic
148#4940C2211yescharacteristic
149#4940C2211yescharacteristic
150#4940C2211yescharacteristic, complemented
151#4940C2211yescharacteristic, complemented
152C4×(C2×D3)⋊C4C2211yescharacteristic
153C4×(C2×D3)⋊C4C2211yescharacteristic
154C4×(C2×D3)⋊C4C2211yescharacteristic, complemented
155C4×(C2×D3)⋊C4C2211yescharacteristic, complemented
156#4933C2211yescharacteristic, complemented
157C4×Dic3⋊C4C2211yescharacteristic, complemented
158#4676C2211yescharacteristic, complemented
159#4675C2211yescharacteristic
160#4674C2211yescharacteristic
161#4673C2211yescharacteristic, complemented
162#4672C2211yescharacteristic
163#4672C2211yescharacteristic
164#4672C2211yescharacteristic
165#4670C2211yescharacteristic, complemented
166#4670C2211yescharacteristic, complemented
167#4669C2211yescharacteristic
168#4669C2211yescharacteristic
169#4669C2211yescharacteristic, complemented
170#4668C2211yescharacteristic
171#4668C2211yescharacteristic
172#4668C2211yescharacteristic, complemented
173#4667C2211yescharacteristic
174#4667C2211yescharacteristic, complemented
175#4666C2211yescharacteristic
176#4666C2211yescharacteristic
177#4665C2211yescharacteristic
178#4665C2211yescharacteristic
179#4665C2211yescharacteristic
180#4665C2211yescharacteristic, complemented
181#4664C2211yescharacteristic
182#4664C2211yescharacteristic, complemented
183#4661C2211yescharacteristic, complemented
184#4655C2211yescharacteristic, complemented
185#4653C2211yescharacteristic, complemented
186#4653C2211yescharacteristic, complemented
187#4652C2211yescharacteristic, complemented
188#4647C2211yescharacteristic, complemented
189#4646C2211yescharacteristic, complemented
190C2×#538—31no—
191C2×#529—31no—
192#2854—31no—
193#2723—31no—
194#2722—31no—
195#2705—31no—
196#2685—31no—
197#2681—31no—
198#2678—31no—
199#2674—31no—
200#2671—31no—
201#2661—31no—
202#2630—31no—
203#2519—31no—
204#2491—31no—
205#2479D311yescharacteristic, complemented
206#2474—31no—
207#2472—31no—
208#2466—31no—
209#2464—31no—
210#2460—31no—
211#2459—31no—
212#2458—31no—
213#2429—31no—
214#2424—31no—
215#2420—31no—
216#2418—31no—
217#2363—31no—
218#2342—31no—
219#2335—31no—
220C4×#123—31no—
221C24×D3C2311yescharacteristic
222C22×C3×D4C2311yescharacteristic
223C23×C3×C4C2311yescharacteristic
224C22×#67C2311yescharacteristic
225C22×#67C2311yescharacteristic
226C22×#67C2311yescharacteristic
227C22×#67C2311yescharacteristic
228C22×#67C2311yescharacteristic
229C22×#67C2311yescharacteristic
230C22×D12C2311yescharacteristic
231C22×D12C2311yescharacteristic
232C22×D12C2311yescharacteristic
233C22×D12C2311yescharacteristic
234C22×D12C2311yescharacteristic
235C22×C4×D3C2311yescharacteristic
236C22×C4×D3C2311yescharacteristic
237C22×C4×D3C2311yescharacteristic
238C22×C4×D3C2311yescharacteristic
239C22×C4×D3C2311yescharacteristic
240C22×C4×D3C2311yescharacteristic
241C22×C4×D3C2311yescharacteristic
242C22×C4×D3C2311yescharacteristic
243C22×Dic6C2311yescharacteristic
244C22×Dic6C2311yescharacteristic
245C3×#126—24no—
246C3×#117—24no—
247C2×C3×C4⋊C4C2311yescharacteristic
248C2×C3×C4⋊C4C2311yescharacteristic
249C2×C3×C4⋊C4C2311yescharacteristic
250C2×C3×C4⋊C4C2311yescharacteristic
251C2×C3×C4⋊C4C2311yescharacteristic
252C2×C3×C4⋊C4C2311yescharacteristic
253C2×C3×C4⋊C4C2311yescharacteristic
254C2×C3×C4⋊C4C2311yescharacteristic
255C2×C3×C4⋊C4C2311yescharacteristic
256C2×C3×C4⋊C4C2311yescharacteristic
257C2×C3×C22⋊C4C2311yescharacteristic
258C2×C3×C22⋊C4C2311yescharacteristic
259C2×C3×C22⋊C4C2311yescharacteristic
260C2×C3×C22⋊C4C2311yescharacteristic
261C2×C3×C22⋊C4C2311yescharacteristic
262C2×C3×C22⋊C4C2311yescharacteristic
263C2×C3×C22⋊C4C2311yescharacteristic
264C2×C3×C22⋊C4C2311yescharacteristic
265C2×C3×C22⋊C4C2311yescharacteristic
266C2×C3×C22⋊C4C2311yescharacteristic
267C2×C3×C22⋊C4C2311yescharacteristic
268C2×C3×C42C2311yescharacteristic
269C2×C3×C42C2311yescharacteristic
270C2×C3×C42C2311yescharacteristic
271C2×C3×C42C2311yescharacteristic
272C2×#217C2311yescharacteristic
273C2×#217C2311yescharacteristic
274C2×#217C2311yescharacteristic
275C2×#217C2311yescharacteristic
276C2×#217C2311yescharacteristic
277C2×#217C2311yescharacteristic
278C2×#217C2311yescharacteristic
279C2×#217C2311yescharacteristic
280C2×#217C2311yescharacteristic
281#937—42no—
282#930—24no—
283C4×#67—24no—
284C4×#67—24no—
285C2×(C2×D3)⋊C4C2311yescharacteristic
286C2×(C2×D3)⋊C4C2311yescharacteristic
287C2×(C2×D3)⋊C4C2311yescharacteristic
288C2×(C2×D3)⋊C4C2311yescharacteristic
289C2×(C2×D3)⋊C4C2311yescharacteristic
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×C4⋊Dic3C2311yescharacteristic
320C2×C4⋊Dic3C2311yescharacteristic
321C2×C4⋊Dic3C2311yescharacteristic
322C2×C4⋊Dic3C2311yescharacteristic
323C2×C4⋊Dic3C2311yescharacteristic
324C2×C4⋊Dic3C2311yescharacteristic
325C2×Dic3⋊C4C2311yescharacteristic
326C2×Dic3⋊C4C2311yescharacteristic
327C2×Dic3⋊C4C2311yescharacteristic
328C2×Dic3⋊C4C2311yescharacteristic
329C2×Dic3⋊C4C2311yescharacteristic
330C2×Dic3⋊C4C2311yescharacteristic
331C2×Dic3⋊C4C2311yescharacteristic
332C2×Dic3⋊C4C2311yescharacteristic
333C2×Dic3⋊C4C2311yescharacteristic
334C2×Dic3⋊C4C2311yescharacteristic
335C2×Dic3⋊C4C2311yescharacteristic
336C2×Dic3⋊C4C2311yescharacteristic
337C2×Dic3⋊C4C2311yescharacteristic
338C2×Dic3⋊C4C2311yescharacteristic
339C2×Dic3⋊C4C2311yescharacteristic
340C2×Dic3⋊C4C2311yescharacteristic
341C2×C4×Dic3C2311yescharacteristic
342C2×C4×Dic3C2311yescharacteristic
343C2×C4×Dic3C2311yescharacteristic
344C2×C4×Dic3C2311yescharacteristic
345C2×C4×Dic3C2311yescharacteristic
346C2×C4×Dic3C2311yescharacteristic
347C2×C4×Dic3C2311yescharacteristic
348C2×C4×Dic3C2311yescharacteristic
349C2×C4×Dic3C2311yescharacteristic
350#898—24no—
351#898—24no—
352#896—24no—
353#896—24no—
354#896—42no—
355#895—24no—
356#895—24no—
357#894—24no—
358#894—42no—
359#894D418yescomplemented
360#893—24no—
361#889—24no—
362#888—42no—
363#885—24no—
364#885—24no—
365#884—24no—
366#884—24no—
367#884—42no—
368#883—24no—
369#883—24no—
370#883—42no—
371#882—24no—
372#882—24no—
373D3×C22⋊C4—24no—
374D3×C22⋊C4—24no—
375#879—24no—
376#875—24no—
377C4×D12—24no—
378C4×D12—24no—
379#872—24no—
380C42×D3—24no—
381C4×Dic6—24no—
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—
415C2×C4⋊Q8—31no—
416#529—68no—
417C2×#126—31no—
418C2×#126—31no—
419C2×#126—31no—
420C2×#126C2×D311yescharacteristic
421C2×#125—31no—
422C2×#124—31no—
423C2×#124—31no—
424C2×#124—31no—
425C2×#123—31no—
426C2×#123—31no—
427C2×#123—31no—
428C2×#123—31no—
429C2×#123—31no—
430C2×#123—31no—
431C2×C22⋊Q8—31no—
432C2×C22⋊Q8—31no—
433C2×C22⋊Q8—31no—
434C2×#121—31no—
435C2×#121—31no—
436C2×#121—31no—
437C2×#121—31no—
438C2×#121—31no—
439C2×#121—31no—
440C2×#120—31no—
441C2×#120—31no—
442C2×#120—31no—
443C2×C4×Q8—31no—
444C2×C4×D4—31no—
445C2×C4×D4—31no—
446C2×C4×D4—31no—
447C2×C4×D4—31no—
448C2×C4×D4—31no—
449C2×#117—31no—
450C2×#117C2×D311yescharacteristic, complemented
451C22×C22⋊C4—31no—
452C22×C22⋊C4—31no—
453C22×C42—31no—
454#399—31no—
455#399C2×D311yescharacteristic
456#399C2×D311yescharacteristic, complemented
457#398—31no—
458#398—31no—
459#398—31no—
460#398—31no—
461#398C2×D311yescharacteristic, complemented
462#397—31no—
463#397—31no—
464#397—31no—
465#397—31no—
466#397—31no—
467#396—31no—
468#396—31no—
469#396—31no—
470#396—31no—
471#396—31no—
472#395—31no—
473#394—31no—
474#394—31no—
475#394—31no—
476#394—31no—
477#394—31no—
478#394—31no—
479#394—31no—
480#394—31no—
481#394—31no—
482#394—31no—
483#394—31no—
484#394—31no—
485#394—31no—
486#394C2×D311yescharacteristic
487#393—31no—
488#393—31no—
489#393—31no—
490#392—31no—
491#392—31no—
492#392—31no—
493#392—31no—
494#391—31no—
495#390—31no—
496#390—31no—
497#390—31no—
498#390—31no—
499#390—31no—
500#390—31no—
501#390—31no—
502#390C2×D311yescharacteristic
503#389—31no—
504#389—31no—
505#389—31no—
506#389—31no—
507#389—31no—
508#389C2×D311yescharacteristic, complemented
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#388—31no—
524#388—31no—
525#388—31no—
526#388C2×D311yescharacteristic
527#388C2×D311yescharacteristic
528#388C2×D311yescharacteristic, complemented
529#387—31no—
530#387—31no—
531#387—31no—
532#387—31no—
533#387—31no—
534#387—31no—
535#387C2×D311yescharacteristic, complemented
536#386—31no—
537#386—31no—
538#386—31no—
539#386—31no—
540#386—31no—
541#386—31no—
542#386—31no—
543#386—31no—
544#386C2×D311yescharacteristic
545#385—31no—
546#385—31no—
547#385—31no—
548#385—31no—
549#385—31no—
550#385—31no—
551#385C2×D311yescharacteristic, complemented
552#382—31no—
553#381—31no—
554#381—31no—
555#380—31no—
556#380—31no—
557#380—31no—
558#380—31no—
559#379—31no—
560#379—31no—
561C4×C4⋊C4—31no—
562C4×C4⋊C4—31no—
563C4×C4⋊C4C2×D311yescharacteristic, complemented
564C4×C22⋊C4—31no—
565C4×C22⋊C4—31no—
566C4×C22⋊C4—31no—
567C4×C22⋊C4—31no—
568C4×C22⋊C4—31no—
569C4×C22⋊C4—31no—
570C4×C22⋊C4—31no—
571C24×C3C2411yescharacteristic
572C24×C3C2411yescharacteristic
573C23×D3—22no—
574C23×D3—22no—
575C23×D3—41no—
576C23×D3—41no—
577C23×D3—41no—
578C23×D3—41no—
579C23×D3—41no—
580C23×D3C2411yescharacteristic
581C23×D3C2411yescharacteristic
582C23×D3C2411yescharacteristic
583C23×D3C2411yescharacteristic
584C2×C3×D4—41no—
585C2×C3×D4—41no—
586C2×C3×D4—41no—
587C22×C3×C4—22no—
588C22×C3×C4—22no—
589C22×C3×C4—41no—
590C22×C3×C4C2411yescharacteristic
591C22×C3×C4C2411yescharacteristic
592C22×C3×C4C2411yescharacteristic
593C22×C3×C4C2411yescharacteristic
594C22×C3×C4C2411yescharacteristic
595C22×C3×C4C2411yescharacteristic
596C22×C3×C4C2411yescharacteristic
597C22×C3×C4C2411yescharacteristic
598C22×C3×C4C2411yescharacteristic
599C22×C3×C4C2411yescharacteristic
600C22×C3×C4C2411yescharacteristic
601C22×C3×C4C2411yescharacteristic
602C22×C3×C4C2411yescharacteristic
603C2×#67—22no—
604C2×#67—22no—
605C2×#67—22no—
606C2×#67—22no—
607C2×#67—22no—
608C2×#67—22no—
609C2×#67—22no—
610C2×#67—41no—
611C2×#67—41no—
612C2×#67—41no—
613C2×#67—41no—
614C2×#67—41no—
615C2×#67—41no—
616C2×#67—41no—
617C2×#67—41no—
618C2×#67—41no—
619C2×#67—41no—
620C2×#67—41no—
621C22×Dic3C2411yescharacteristic
622C22×Dic3C2411yescharacteristic
623C22×Dic3C2411yescharacteristic
624C22×Dic3C2411yescharacteristic
625C22×Dic3C2411yescharacteristic
626C22×Dic3C2411yescharacteristic
627C22×Dic3C2411yescharacteristic
628C22×Dic3C2411yescharacteristic
629C22×Dic3C2411yescharacteristic
630C22×Dic3C2411yescharacteristic
631C22×Dic3C2411yescharacteristic
632C22×Dic3C2411yescharacteristic
633C2×D12—22no—
634C2×D12—22no—
635C2×D12—22no—
636C2×D12—22no—
637C2×D12—22no—
638C2×D12—22no—
639C2×D12—41no—
640C2×D12—41no—
641C2×D12—41no—
642C2×D12—41no—
643C2×D12—41no—
644C2×D12—41no—
645C2×D12—41no—
646C2×D12—41no—
647C2×D12C2×D414yes—
648C2×C4×D3—22no—
649C2×C4×D3—22no—
650C2×C4×D3—22no—
651C2×C4×D3—22no—
652C2×C4×D3—22no—
653C2×C4×D3—22no—
654C2×C4×D3—22no—
655C2×C4×D3—22no—
656C2×C4×D3—22no—
657C2×C4×D3—22no—
658C2×C4×D3—41no—
659C2×C4×D3—41no—
660C2×C4×D3—41no—
661C2×C4×D3—41no—
662C2×C4×D3—41no—
663C2×C4×D3—41no—
664C2×C4×D3—41no—
665C2×C4×D3—41no—
666C2×C4×D3—41no—
667C2×C4×D3—41no—
668C2×C4×D3—41no—
669C2×C4×D3—41no—
670C2×C4×D3—41no—
671C2×C4×D3C2×D414yes—
672C2×Dic6—22no—
673C2×Dic6—22no—
674C2×Dic6—22no—
675C2×Dic6—41no—
676C2×Dic6—41no—
677C2×Dic6—41no—
678C3×C4⋊C4—22no—
679C3×C4⋊C4—22no—
680C3×C4⋊C4—22no—
681C3×C4⋊C4—22no—
682C3×C4⋊C4—41no—
683C3×C4⋊C4—41no—
684C3×C4⋊C4—41no—
685C3×C4⋊C4—41no—
686C3×C4⋊C4—41no—
687C3×C4⋊C4C2×D414yes—
688C3×C22⋊C4—22no—
689C3×C22⋊C4—22no—
690C3×C22⋊C4—22no—
691C3×C22⋊C4—22no—
692C3×C22⋊C4—22no—
693C3×C22⋊C4—22no—
694C3×C22⋊C4—41no—
695C3×C22⋊C4—41no—
696C3×C22⋊C4—41no—
697C3×C22⋊C4—41no—
698C3×C22⋊C4—41no—
699C3×C42—22no—
700C3×C42—22no—
701C3×C42—22no—
702C3×C42—41no—
703#217—22no—
704#217—22no—
705#217—22no—
706#217—22no—
707#217—22no—
708#217—41no—
709#217—41no—
710#217—41no—
711#217—41no—
712(C2×D3)⋊C4—22no—
713(C2×D3)⋊C4—22no—
714(C2×D3)⋊C4—22no—
715(C2×D3)⋊C4—22no—
716(C2×D3)⋊C4—22no—
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—41no—
729(C2×D3)⋊C4—41no—
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)⋊C4—41no—
742(C2×D3)⋊C4C2×D414yes—
743(C2×D3)⋊C4C2×D414yes—
744(C2×D3)⋊C4C2×D414yes—
745(C2×D3)⋊C4#4114yes—
746C4⋊Dic3—22no—
747C4⋊Dic3—22no—
748C4⋊Dic3—22no—
749C4⋊Dic3—22no—
750C4⋊Dic3—22no—
751C4⋊Dic3—41no—
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⋊C4C2×D414yes—
768C4×Dic3—22no—
769C4×Dic3—22no—
770C4×Dic3—22no—
771C4×Dic3—22no—
772C4×Dic3—22no—
773C4×Dic3—41no—
774C4×Dic3—41no—
775C4×Dic3—41no—
776C4×Dic3—41no—
777C25—31no—
778C22×Q8—31no—
779C22×Q8—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×D4—31no—
789C22×D4—31no—
790C22×D4—31no—
791C22×D4C22×D311yescharacteristic
792C23×C4—31no—
793C23×C4—31no—
794C23×C4—31no—
795C23×C4—31no—
796C23×C4—31no—
797C23×C4—31no—
798C23×C4—31no—
799C23×C4—31no—
800C23×C4C22×D311yescharacteristic
801C4⋊Q8—122no—
802#126—24no—
803#126—64no—
804#126—64no—
805#126—64no—
806#125—64no—
807#124—64no—
808#124—64no—
809#124—64no—
810#123—38no—
811#123—64no—
812#123—64no—
813#123—64no—
814#123—122no—
815#123—122no—
816C22⋊Q8—64no—
817C22⋊Q8—64no—
818C22⋊Q8—122no—
819#121—64no—
820#121—64no—
821#121—64no—
822#121—64no—
823#121—64no—
824#121—122no—
825#120—64no—
826#120—64no—
827#120—122no—
828C4×Q8—64no—
829C4×D4—64no—
830C4×D4—64no—
831C4×D4—64no—
832C4×D4—64no—
833C4×D4—64no—
834#117—24no—
835#117—64no—
836C2×C4⋊C4—31no—
837C2×C4⋊C4—31no—
838C2×C4⋊C4—31no—
839C2×C4⋊C4—31no—
840C2×C4⋊C4—31no—
841C2×C4⋊C4—31no—
842C2×C4⋊C4—31no—
843C2×C4⋊C4—31no—
844C2×C4⋊C4—31no—
845C2×C4⋊C4—31no—
846C2×C4⋊C4—31no—
847C2×C4⋊C4—31no—
848C2×C4⋊C4—31no—
849C2×C4⋊C4—31no—
850C2×C4⋊C4—31no—
851C2×C4⋊C4—31no—
852C2×C4⋊C4—31no—
853C2×C4⋊C4—31no—
854C2×C4⋊C4—31no—
855C2×C4⋊C4—31no—
856C2×C4⋊C4—31no—
857C2×C4⋊C4—31no—
858C2×C4⋊C4C22×D311yescharacteristic
859C2×C4⋊C4C22×D311yescharacteristic
860C2×C4⋊C4C22×D311yescharacteristic
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×C22⋊C4—31no—
869C2×C22⋊C4—31no—
870C2×C22⋊C4—31no—
871C2×C22⋊C4—31no—
872C2×C22⋊C4—31no—
873C2×C22⋊C4—31no—
874C2×C22⋊C4—31no—
875C2×C22⋊C4—31no—
876C2×C22⋊C4—31no—
877C2×C22⋊C4—31no—
878C2×C22⋊C4—31no—
879C2×C22⋊C4—31no—
880C2×C22⋊C4—31no—
881C2×C22⋊C4—31no—
882C2×C22⋊C4—31no—
883C2×C22⋊C4—31no—
884C2×C22⋊C4—31no—
885C2×C22⋊C4—31no—
886C2×C22⋊C4—31no—
887C2×C22⋊C4—31no—
888C2×C22⋊C4—31no—
889C2×C22⋊C4—31no—
890C2×C22⋊C4—31no—
891C2×C22⋊C4—31no—
892C2×C22⋊C4—31no—
893C2×C22⋊C4—31no—
894C2×C22⋊C4—31no—
895C2×C22⋊C4—31no—
896C2×C22⋊C4—31no—
897C2×C22⋊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—31no—
911C2×C22⋊C4—64no—
912C2×C22⋊C4—64no—
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
936C2×C42C22×D311yescharacteristic
937C2×C42C22×D311yescharacteristic
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#95C22×D311yescharacteristic
963#95C22×D311yescharacteristic
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×C3C2511yescharacteristic
985C22×D3—21no—
986C22×D3—21no—
987C22×D3—21no—
988C22×D3—21no—
989C22×D3—21no—
990C22×D3—21no—
991C22×D3—21no—
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—44no—
1011C22×D3—44no—
1012C22×D3—82no—
1013C22×D3—82no—
1014C22×D3—82no—
1015C22×D3—82no—
1016C22×D3—82no—
1017C22×D3C22×D412yes—
1018C22×D3C22×D412yes—
1019C22×D3C2×#4112yes—
1020C3×D4—82no—
1021C2×C3×C4—21no—
1022C2×C3×C4—21no—
1023C2×C3×C4—21no—
1024C2×C3×C4—21no—
1025C2×C3×C4—21no—
1026C2×C3×C4—21no—
1027C2×C3×C4—21no—
1028C2×C3×C4—21no—
1029C2×C3×C4—21no—
1030C2×C3×C4—21no—
1031C2×C3×C4—21no—
1032C2×C3×C4—21no—
1033C2×C3×C4—21no—
1034C2×C3×C4—21no—
1035C2×C3×C4—21no—
1036C2×C3×C4—21no—
1037C2×C3×C4—21no—
1038C2×C3×C4—21no—
1039C2×C3×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×C4C22×D412yes—
1058C2×C3×C4C22×D412yes—
1059C2×C3×C4C22×D412yes—
1060C2×C3×C4C2×#4112yes—
1061#67—44no—
1062#67—44no—
1063#67—82no—
1064#67—82no—
1065#67—82no—
1066#67—82no—
1067C2×Dic3—21no—
1068C2×Dic3—21no—
1069C2×Dic3—21no—
1070C2×Dic3—21no—
1071C2×Dic3—21no—
1072C2×Dic3—21no—
1073C2×Dic3—21no—
1074C2×Dic3—21no—
1075C2×Dic3—21no—
1076C2×Dic3—21no—
1077C2×Dic3—21no—
1078C2×Dic3—21no—
1079C2×Dic3—21no—
1080C2×Dic3—21no—
1081C2×Dic3—21no—
1082C2×Dic3—21no—
1083C2×Dic3—21no—
1084C2×Dic3—21no—
1085C2×Dic3—21no—
1086C2×Dic3—21no—
1087C2×Dic3—21no—
1088C2×Dic3—21no—
1089C2×Dic3—21no—
1090C2×Dic3—21no—
1091C2×Dic3—21no—
1092C2×Dic3—21no—
1093C2×Dic3—21no—
1094C2×Dic3—21no—
1095C2×Dic3—21no—
1096C2×Dic3—21no—
1097C2×Dic3—21no—
1098C2×Dic3—21no—
1099C2×Dic3C22×D412yes—
1100C2×Dic3C22×D412yes—
1101C2×Dic3C2×#4112yes—
1102C2×Dic3H(5,𝔽2)12yes—
1103D12—44no—
1104D12—44no—
1105D12—44no—
1106D12—82no—
1107D12—82no—
1108C4×D3—44no—
1109C4×D3—44no—
1110C4×D3—44no—
1111C4×D3—44no—
1112C4×D3—82no—
1113C4×D3—82no—
1114C4×D3—82no—
1115C4×D3—82no—
1116Dic6—44no—
1117Dic6—82no—
1118C24—31no—
1119C24—31no—
1120C24—31no—
1121C24—31no—
1122C24—62no—
1123C24—62no—
1124C24—121no—
1125C24—121no—
1126C24—121no—
1127C24—121no—
1128C24—121no—
1129C24C23×D311yescharacteristic
1130C24C23×D311yescharacteristic
1131C2×Q8—62no—
1132C2×Q8—62no—
1133C2×Q8—62no—
1134C2×Q8—121no—
1135C2×Q8—121no—
1136C2×Q8—121no—
1137C2×D4—34no—
1138C2×D4—41no—
1139C2×D4—41no—
1140C2×D4—41no—
1141C2×D4—62no—
1142C2×D4—62no—
1143C2×D4—62no—
1144C2×D4—62no—
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—121no—
1155C2×D4—121no—
1156C2×D4—121no—
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—
1171C2×D4—121no—
1172C2×D4—121no—
1173C22×C4—22no—
1174C22×C4—22no—
1175C22×C4—31no—
1176C22×C4—31no—
1177C22×C4—31no—
1178C22×C4—31no—
1179C22×C4—34no—
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—62no—
1190C22×C4—62no—
1191C22×C4—62no—
1192C22×C4—62no—
1193C22×C4—62no—
1194C22×C4—62no—
1195C22×C4—62no—
1196C22×C4—62no—
1197C22×C4—62no—
1198C22×C4—62no—
1199C22×C4—121no—
1200C22×C4—121no—
1201C22×C4—121no—
1202C22×C4—121no—
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×C4C23×D311yescharacteristic
1213C22×C4C23×D311yescharacteristic
1214C22×C4C23×D311yescharacteristic
1215C22×C4C23×D311yescharacteristic
1216C22×C4C23×D311yescharacteristic
1217C22×C4C23×D311yescharacteristic
1218C22×C4C23×D311yescharacteristic
1219C22×C4C23×D311yescharacteristic
1220C22×C4C23×D311yescharacteristic
1221C22×C4C23×D311yescharacteristic
1222C22×C4C23×D311yescharacteristic
1223C22×C4C23×D311yescharacteristic
1224C22×C4C23×D311yescharacteristic
1225C4⋊C4—22no—
1226C4⋊C4—22no—
1227C4⋊C4—22no—
1228C4⋊C4—22no—
1229C4⋊C4—34no—
1230C4⋊C4—41no—
1231C4⋊C4—41no—
1232C4⋊C4—41no—
1233C4⋊C4—41no—
1234C4⋊C4—41no—
1235C4⋊C4—62no—
1236C4⋊C4—62no—
1237C4⋊C4—62no—
1238C4⋊C4—62no—
1239C4⋊C4—62no—
1240C4⋊C4—62no—
1241C4⋊C4—62no—
1242C4⋊C4—62no—
1243C4⋊C4—62no—
1244C4⋊C4—62no—
1245C4⋊C4—62no—
1246C4⋊C4—62no—
1247C4⋊C4—62no—
1248C4⋊C4—62no—
1249C4⋊C4—121no—
1250C4⋊C4—121no—
1251C4⋊C4—121no—
1252C4⋊C4—121no—
1253C4⋊C4—121no—
1254C4⋊C4—121no—
1255C4⋊C4—121no—
1256C4⋊C4D3×D414yes—
1257C22⋊C4—22no—
1258C22⋊C4—22no—
1259C22⋊C4—22no—
1260C22⋊C4—22no—
1261C22⋊C4—22no—
1262C22⋊C4—22no—
1263C22⋊C4—34no—
1264C22⋊C4—34no—
1265C22⋊C4—34no—
1266C22⋊C4—34no—
1267C22⋊C4—41no—
1268C22⋊C4—41no—
1269C22⋊C4—41no—
1270C22⋊C4—41no—
1271C22⋊C4—41no—
1272C22⋊C4—62no—
1273C22⋊C4—62no—
1274C22⋊C4—62no—
1275C22⋊C4—62no—
1276C22⋊C4—62no—
1277C22⋊C4—62no—
1278C22⋊C4—62no—
1279C22⋊C4—62no—
1280C22⋊C4—62no—
1281C22⋊C4—62no—
1282C22⋊C4—62no—
1283C22⋊C4—62no—
1284C22⋊C4—62no—
1285C22⋊C4—62no—
1286C22⋊C4—62no—
1287C22⋊C4—62no—
1288C22⋊C4—62no—
1289C22⋊C4—62no—
1290C22⋊C4—62no—
1291C22⋊C4—62no—
1292C22⋊C4—62no—
1293C22⋊C4—121no—
1294C22⋊C4—121no—
1295C22⋊C4—121no—
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—
1311C42—22no—
1312C42—22no—
1313C42—22no—
1314C42—41no—
1315C42—62no—
1316C42—62no—
1317C42—62no—
1318C42—62no—
1319C42—62no—
1320C42—121no—
1321C42—121no—
1322C42—121no—
1323C42—121no—
1324C22×C3—41no—
1325C22×C3—41no—
1326C22×C3—41no—
1327C22×C3—41no—
1328C22×C3—41no—
1329C22×C3—41no—
1330C22×C3—41no—
1331C22×C3—41no—
1332C22×C3—41no—
1333C22×C3—41no—
1334C22×C3—41no—
1335C22×C3—41no—
1336C22×C3—41no—
1337C22×C3—41no—
1338C22×C3C23×D411yescharacteristic
1339C22×C3C22×#4111yescharacteristic
1340C22×C3C2×H(5,𝔽2)11yescharacteristic
1341C22×C3#58511yescharacteristic
1342C22×C3#58511yescharacteristic
1343C22×C3#58511yescharacteristic
1344C22×C3#58511yescharacteristic
1345C2×D3—22no—
1346C2×D3—22no—
1347C2×D3—22no—
1348C2×D3—22no—
1349C2×D3—22no—
1350C2×D3—22no—
1351C2×D3—22no—
1352C2×D3—22no—
1353C2×D3—22no—
1354C2×D3—41no—
1355C2×D3—41no—
1356C2×D3—41no—
1357C2×D3—41no—
1358C2×D3—41no—
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—88no—
1374C3×C4—22no—
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—
1399C23—21no—
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—32no—
1414C23—32no—
1415C23—32no—
1416C23—61no—
1417C23—61no—
1418C23—61no—
1419C23—61no—
1420C23—61no—
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—61no—
1441C23—124no—
1442C23—124no—
1443C23—242no—
1444C23—242no—
1445C23—242no—
1446C23—242no—
1447C23—242no—
1448C23C24×D311yescharacteristic
1449Q8—124no—
1450Q8—242no—
1451D4—82no—
1452D4—124no—
1453D4—124no—
1454D4—124no—
1455D4—124no—
1456D4—124no—
1457D4—242no—
1458D4—242no—
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—21no—
1497C2×C4—21no—
1498C2×C4—32no—
1499C2×C4—32no—
1500C2×C4—32no—
1501C2×C4—32no—
1502C2×C4—44no—
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—124no—
1536C2×C4—124no—
1537C2×C4—124no—
1538C2×C4—124no—
1539C2×C4—242no—
1540C2×C4—242no—
1541C2×C4—242no—
1542C2×C4—242no—
1543C2×C4C2×D3×D412yes—
1544C2×C4C2×D3×D412yes—
1545C2×C4C2×D3×D412yes—
1546C2×C4D3×#4112yes—
1547C2×C3—81no—
1548C2×C3—81no—
1549C2×C3#345511yescharacteristic
1550C2×C3D4×#4111yescharacteristic
1551C2×C3#348511yescharacteristic
1552C2×C3#348811yescharacteristic
1553C2×C3#351411yescharacteristic
1554C2×C3#355111yescharacteristic
1555C2×C3#356611yescharacteristic
1556D3—42no—
1557D3—42no—
1558D3—42no—
1559D3—81no—
1560C22—41no—
1561C22—41no—
1562C22—41no—
1563C22—41no—
1564C22—41no—
1565C22—41no—
1566C22—41no—
1567C22—41no—
1568C22—41no—
1569C22—41no—
1570C22—41no—
1571C22—41no—
1572C22—41no—
1573C22—41no—
1574C22—62no—
1575C22—62no—
1576C22—62no—
1577C22—62no—
1578C22—62no—
1579C22—62no—
1580C22—62no—
1581C22—62no—
1582C22—62no—
1583C22—121no—
1584C22—121no—
1585C22—121no—
1586C22—121no—
1587C22—121no—
1588C22—121no—
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—248no—
1603C22C22×D3×D411yescharacteristic
1604C22C2×D3×#4111yescharacteristic
1605C22#596411yescharacteristic
1606C22#596411yescharacteristic
1607C22#596411yescharacteristic
1608C22D3×H(5,𝔽2)11yescharacteristic
1609C22#596811yescharacteristic
1610C4—22no—
1611C4—22no—
1612C4—22no—
1613C4—22no—
1614C4—41no—
1615C4—41no—
1616C4—41no—
1617C4—41no—
1618C4—41no—
1619C4—41no—
1620C4—41no—
1621C4—41no—
1622C4—41no—
1623C4—62no—
1624C4—62no—
1625C4—62no—
1626C4—62no—
1627C4—121no—
1628C4—121no—
1629C4—121no—
1630C4—121no—
1631C4—121no—
1632C4—121no—
1633C4—121no—
1634C4—121no—
1635C3#3773311yescharacteristic, complemented, Sylow
1636C2—81no—
1637C2—81no—
1638C2—122no—
1639C2—122no—
1640C2—122no—
1641C2—241no—
1642C2#8603711yescharacteristic
1643C2#8614611yescharacteristic
1644C2#8655411yescharacteristic
1645C2#8670011yescharacteristic
1646C2#8676911yescharacteristic
1647C2#8680711yescharacteristic
1648C2#8687311yescharacteristic
subgroupG/H
center, FrattiniC23C24×D3
commutator, socle, cosocleC23×C3C25
FittingC3×#2479C2
hypercenter#2479D3
hypocenterC3#37733
LCSG ▷ C23×C3 ▷ C3
UCSC1 ◁ C23 ◁ #2479

Complements

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

NH ≅ G/Ntype
1. C2×#5704C2semidirect
2. C2×#5528C2semidirect
3. C3×#2479C2semidirect
4. #83085C2semidirect
5. #82244C2semidirect
6. #78116C2semidirect
7. #78115C2semidirect
8. #78113C2semidirect
9. #78071C2semidirect
10. #77970C2semidirect
11. #77864C2semidirect
12. #77136C2semidirect
13. #77024C2semidirect
14. #76460C2semidirect
15. #76330C2semidirect
16. #76213C2semidirect
17. #75996C2semidirect
18. #75960C2semidirect
19. #75901C2semidirect
20. #75853C2semidirect
21. #75845C2semidirect
22. #75832C2semidirect
23. #75546C2semidirect
24. #75302C2semidirect
25. #74990C2semidirect
26. #74894C2semidirect
27. #74716C2semidirect
28. #74434C2semidirect
29. #74432C2semidirect
30. #73784C2semidirect
31. C4×#894C2semidirect
34. C2×C3×#117C22semidirect
38. C2×C4×#67C22semidirect
45. C2×#896C22semidirect
50. C2×#894C22semidirect
52. C2×#889C22semidirect
53. C2×#888C22semidirect
61. C2×#883C22semidirect
66. C2×#879C22semidirect
71. C2×C42×D3C22semidirect
72. C2×C4×Dic6C22semidirect
74. C3×#399C22semidirect
75. C3×#398C22semidirect
78. C3×#389C22semidirect
81. C3×#388C22semidirect
82. C3×#387C22semidirect
84. C3×#385C22semidirect
85. C3×C4×C4⋊C4C22semidirect
89. C4×#217C22semidirect
93. #4992C22semidirect
96. #4991C22semidirect
98. #4990C22semidirect
101. #4989C22semidirect
105. #4987C22semidirect
106. #4983C22semidirect
107. #4982C22semidirect
108. #4982C22semidirect
109. #4980C22semidirect
110. #4979C22semidirect
111. #4977C22semidirect
112. #4976C22semidirect
113. #4976C22semidirect
114. #4976C22semidirect
115. Dic3×C4⋊C4C22semidirect
116. #4972C22semidirect
119. #4961C22semidirect
121. #4960C22semidirect
128. #4957C22semidirect
129. #4957C22semidirect
133. #4956C22semidirect
136. #4952C22semidirect
140. #4948C22semidirect
142. #4947C22semidirect
150. #4940C22semidirect
151. #4940C22semidirect
154. C4×(C2×D3)⋊C4C22semidirect
155. C4×(C2×D3)⋊C4C22semidirect
156. #4933C22semidirect
157. C4×Dic3⋊C4C22semidirect
158. #4676C22semidirect
161. #4673C22semidirect
165. #4670C22semidirect
166. #4670C22semidirect
169. #4669C22semidirect
172. #4668C22semidirect
174. #4667C22semidirect
180. #4665C22semidirect
182. #4664C22semidirect
183. #4661C22semidirect
184. #4655C22semidirect
185. #4653C22semidirect
186. #4653C22semidirect
187. #4652C22semidirect
188. #4647C22semidirect
189. #4646C22semidirect
205. #2479D3semidirect
359. #894D4semidirect
450. C2×#117C2×D3semidirect
456. #399C2×D3semidirect
461. #398C2×D3semidirect
508. #389C2×D3semidirect
528. #388C2×D3semidirect
535. #387C2×D3semidirect
551. #385C2×D3semidirect
563. C4×C4⋊C4C2×D3semidirect
1635. C3#37733semidirect

Maximal subgroups

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

subgroupindex
C2×#57042
C2×#55282
C3×#24792
#830852
#822442
#781162
#781152
#781132
#780712
#779702
#778642
#771362
#770242
#764602
#763302
#762132
#759962
#759602
#759012
#758532
#758452
#758322
#755462
#753022
#749902
#748942
#747162
#744342
#744322
#737842
C4×#8942
#377333