Finite Group Databasebeta

← #11025752

Subgroups — #11025752

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×#5678C211yesmaximal, characteristic, complemented
2C2×#5580C211yesmaximal, characteristic, complemented
3C3×#2448C211yesmaximal, characteristic, complemented
4#83006C211yesmaximal, characteristic, complemented
5#82494C211yesmaximal, characteristic, complemented
6#78118C211yesmaximal, characteristic, complemented
7#78113C211yesmaximal, characteristic, complemented
8#78101C211yesmaximal, characteristic, complemented
9#78051C211yesmaximal, characteristic, complemented
10#77695C211yesmaximal, characteristic, complemented
11#77689C211yesmaximal, characteristic, complemented
12#77566C211yesmaximal, characteristic, complemented
13#77465C211yesmaximal, characteristic, complemented
14#76654C211yesmaximal, characteristic, complemented
15#76488C211yesmaximal, characteristic, complemented
16#76468C211yesmaximal, characteristic, complemented
17#76447C211yesmaximal, characteristic, complemented
18#76442C211yesmaximal, characteristic, complemented
19#76331C211yesmaximal, characteristic, complemented
20#76270C211yesmaximal, characteristic, complemented
21#76226C211yesmaximal, characteristic, complemented
22#75958C211yesmaximal, characteristic, complemented
23#75857C211yesmaximal, characteristic, complemented
24#75849C211yesmaximal, characteristic, complemented
25#75847C211yesmaximal, characteristic, complemented
26#75845C211yesmaximal, characteristic, complemented
27#75832C211yesmaximal, characteristic, complemented
28#75525C211yesmaximal, characteristic, complemented
29#75452C211yesmaximal, characteristic, complemented
30#73783C211yesmaximal, characteristic, complemented
31#73772C211yesmaximal, characteristic, complemented
32#37728—31nomaximal, Sylow
33C2×C3×#124C2211yescharacteristic
34C2×C3×C4×Q8C2211yescharacteristic, complemented
35C2×#947C2211yescharacteristic
36C2×#946C2211yescharacteristic
37C2×#946C2211yescharacteristic, complemented
38C2×#939C2211yescharacteristic
39C2×#937C2211yescharacteristic
40#5678—28no—
41#5580—28no—
42C2×#898C2211yescharacteristic
43C2×#898C2211yescharacteristic, complemented
44C2×#895C2211yescharacteristic
45C2×#894C2211yescharacteristic
46C2×#894C2211yescharacteristic
47C2×#894C2211yescharacteristic, complemented
48C2×#894C2211yescharacteristic, complemented
49C2×#893C2211yescharacteristic
50C2×#890C2211yescharacteristic, complemented
51C2×#886C2211yescharacteristic
52C2×#884C2211yescharacteristic
53C2×#884C2211yescharacteristic
54C2×#884C2211yescharacteristic
55C2×#884C2211yescharacteristic
56C2×#884C2211yescharacteristic
57C2×#883C2211yescharacteristic
58C2×#882C2211yescharacteristic
59C2×#882C2211yescharacteristic
60C2×#67⋊C4C2211yescharacteristic
61C2×#67⋊C4C2211yescharacteristic, complemented
62C2×D3×C22⋊C4C2211yescharacteristic
63C2×D3×C22⋊C4C2211yescharacteristic
64C2×#879C2211yescharacteristic
65C2×#876C2211yescharacteristic
66C2×C4×D12C2211yescharacteristic
67C2×C4×D12C2211yescharacteristic
68C2×C4×D12C2211yescharacteristic
69C2×C4×D12C2211yescharacteristic, complemented
70C2×#872C2211yescharacteristic
71C2×#872C2211yescharacteristic, complemented
72C2×C42×D3C2211yescharacteristic, complemented
73C3×#399C2211yescharacteristic
74C3×#399C2211yescharacteristic, complemented
75C3×#397C2211yescharacteristic
76C3×#397C2211yescharacteristic, complemented
77C3×#391C2211yescharacteristic, complemented
78C3×#390C2211yescharacteristic
79C3×#390C2211yescharacteristic
80C3×#389C2211yescharacteristic, complemented
81C3×#388C2211yescharacteristic
82C3×#388C2211yescharacteristic
83C3×#388C2211yescharacteristic, complemented
84C3×#388C2211yescharacteristic, complemented
85C3×C4×C4⋊C4C2211yescharacteristic, complemented
86#5229C2211yescharacteristic, complemented
87#5223C2211yescharacteristic
88#5222C2211yescharacteristic
89#4993C2211yescharacteristic
90#4993C2211yescharacteristic
91#4992C2211yescharacteristic
92#4991C2211yescharacteristic
93#4991C2211yescharacteristic
94#4990C2211yescharacteristic, complemented
95#4989C2211yescharacteristic
96#4989C2211yescharacteristic
97#4989C2211yescharacteristic
98#4989C2211yescharacteristic
99#4989C2211yescharacteristic, complemented
100#4989C2211yescharacteristic, complemented
101#4989C2211yescharacteristic, complemented
102#4987C2211yescharacteristic
103#4987C2211yescharacteristic
104#4983C2211yescharacteristic, complemented
105#4983C2211yescharacteristic, complemented
106#4982C2211yescharacteristic, complemented
107#4982C2211yescharacteristic, complemented
108#4981C2211yescharacteristic, complemented
109#4980C2211yescharacteristic, complemented
110#4976C2211yescharacteristic, complemented
111#4975C2211yescharacteristic, complemented
112#4961C2211yescharacteristic
113#4961C2211yescharacteristic
114#4961C2211yescharacteristic
115#4961C2211yescharacteristic, complemented
116#4960C2211yescharacteristic, complemented
117#4959C2211yescharacteristic
118#4959C2211yescharacteristic
119#4959C2211yescharacteristic
120#4959C2211yescharacteristic
121#4957C2211yescharacteristic
122#4957C2211yescharacteristic, complemented
123#4956C2211yescharacteristic
124#4956C2211yescharacteristic
125#4956C2211yescharacteristic
126#4956C2211yescharacteristic
127#4956C2211yescharacteristic
128#4956C2211yescharacteristic, complemented
129#4956C2211yescharacteristic, complemented
130#4956C2211yescharacteristic, complemented
131#4955C2211yescharacteristic
132#4955C2211yescharacteristic
133#4953C2211yescharacteristic, complemented
134#4951C2211yescharacteristic
135#4949C2211yescharacteristic
136#4948C2211yescharacteristic
137#4948C2211yescharacteristic
138#4948C2211yescharacteristic, complemented
139#4946C2211yescharacteristic, complemented
140#4946C2211yescharacteristic, complemented
141#4945C2211yescharacteristic
142#4945C2211yescharacteristic
143#4944C2211yescharacteristic
144#4944C2211yescharacteristic
145Dic3×C22⋊C4C2211yescharacteristic, complemented
146#4940C2211yescharacteristic
147#4940C2211yescharacteristic
148#4940C2211yescharacteristic
149#4940C2211yescharacteristic
150#4940C2211yescharacteristic, complemented
151#4940C2211yescharacteristic, complemented
152C4×(C2×D3)⋊C4C2211yescharacteristic
153C4×(C2×D3)⋊C4C2211yescharacteristic, complemented
154#4933C2211yescharacteristic, complemented
155#4933C2211yescharacteristic, complemented
156#4933C2211yescharacteristic, complemented
157#4928C2211yescharacteristic, complemented
158#4675C2211yescharacteristic
159#4674C2211yescharacteristic
160#4674C2211yescharacteristic, complemented
161#4672C2211yescharacteristic
162#4672C2211yescharacteristic
163#4671C2211yescharacteristic
164#4670C2211yescharacteristic
165#4669C2211yescharacteristic, complemented
166#4668C2211yescharacteristic
167#4668C2211yescharacteristic, complemented
168#4668C2211yescharacteristic, complemented
169#4668C2211yescharacteristic, complemented
170#4667C2211yescharacteristic
171#4667C2211yescharacteristic, complemented
172#4666C2211yescharacteristic
173#4666C2211yescharacteristic
174#4665C2211yescharacteristic
175#4665C2211yescharacteristic
176#4665C2211yescharacteristic
177#4665C2211yescharacteristic
178#4665C2211yescharacteristic
179#4664C2211yescharacteristic
180D3×#95C2211yescharacteristic, complemented
181#4659C2211yescharacteristic, complemented
182#4659C2211yescharacteristic, complemented
183#4657C2211yescharacteristic, complemented
184#4657C2211yescharacteristic, complemented
185#4654C2211yescharacteristic, complemented
186#4651C2211yescharacteristic, complemented
187#4649C2211yescharacteristic, complemented
188#4647C2211yescharacteristic, complemented
189#4647C2211yescharacteristic, 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#2448D311yescharacteristic, complemented
210#2444—31no—
211#2425—31no—
212#2424—31no—
213#2423—31no—
214#2422—31no—
215#2418—31no—
216#2418—31no—
217#2359—31no—
218#2342—31no—
219#2337—31no—
220C4×#121—31no—
221C24×D3C2311yescharacteristic
222C22×C3×Q8C2311yescharacteristic
223C22×C3×D4C2311yescharacteristic
224C22×#67C2311yescharacteristic
225C22×#67C2311yescharacteristic
226C22×#67C2311yescharacteristic
227C22×#67C2311yescharacteristic
228C22×#67C2311yescharacteristic
229C22×#67C2311yescharacteristic
230C23×Dic3C2311yescharacteristic
231C22×D12C2311yescharacteristic
232C22×D12C2311yescharacteristic
233C22×D12C2311yescharacteristic
234C22×D12C2311yescharacteristic
235C22×D12C2311yescharacteristic
236C22×C4×D3C2311yescharacteristic
237C22×C4×D3C2311yescharacteristic
238C22×C4×D3C2311yescharacteristic
239C22×C4×D3C2311yescharacteristic
240C22×C4×D3C2311yescharacteristic
241C22×C4×D3C2311yescharacteristic
242C22×C4×D3C2311yescharacteristic
243C22×C4×D3C2311yescharacteristic
244C22×C4×D3C2311yescharacteristic
245C22×C4×D3C2311yescharacteristic
246C3×#124—24no—
247C3×C4×Q8—24no—
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×C22⋊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×C3×C42C2311yescharacteristic
273C2×#217C2311yescharacteristic
274C2×#217C2311yescharacteristic
275C2×#217C2311yescharacteristic
276C2×#217C2311yescharacteristic
277C2×#217C2311yescharacteristic
278C2×#217C2311yescharacteristic
279C2×#217C2311yescharacteristic
280C2×#217C2311yescharacteristic
281#947D418yescomplemented
282#946—24no—
283#946—24no—
284#939—24no—
285#937—24no—
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×C4⋊Dic3C2311yescharacteristic
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×Dic3⋊C4C2311yescharacteristic
342C2×Dic3⋊C4C2311yescharacteristic
343C2×C4×Dic3C2311yescharacteristic
344C2×C4×Dic3C2311yescharacteristic
345C2×C4×Dic3C2311yescharacteristic
346C2×C4×Dic3C2311yescharacteristic
347C2×C4×Dic3C2311yescharacteristic
348C2×C4×Dic3C2311yescharacteristic
349#898—24no—
350#898—24no—
351#895—24no—
352#894—24no—
353#894—24no—
354#894—24no—
355#894—42no—
356#893—42no—
357#890—24no—
358#886—24no—
359#884—24no—
360#884—24no—
361#884—24no—
362#884—42no—
363#884—42no—
364#883—24no—
365#882—24no—
366#882—42no—
367#67⋊C4—24no—
368#67⋊C4—42no—
369D3×C22⋊C4—24no—
370D3×C22⋊C4—24no—
371#879—24no—
372#876—24no—
373C4×D12—24no—
374C4×D12—24no—
375C4×D12—24no—
376C4×D12—24no—
377#872—24no—
378#872—24no—
379C42×D3—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×#124C2×D311yescharacteristic
423C2×#123—31no—
424C2×#123—31no—
425C2×#123—31no—
426C2×#123—31no—
427C2×#123—31no—
428C2×#123—31no—
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×#121—31no—
438C2×#120—31no—
439C2×#120—31no—
440C2×#120—31no—
441C2×C4×Q8C2×D311yescharacteristic, complemented
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×D4—31no—
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#399C2×D311yescharacteristic
460#399C2×D311yescharacteristic, complemented
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
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#394—31no—
490#394—31no—
491#392—31no—
492#392—31no—
493#392—31no—
494#391—31no—
495#391C2×D311yescharacteristic, complemented
496#390—31no—
497#390—31no—
498#390C2×D311yescharacteristic
499#390C2×D311yescharacteristic
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#388C2×D311yescharacteristic
520#388C2×D311yescharacteristic
521#388C2×D311yescharacteristic, complemented
522#388C2×D311yescharacteristic, complemented
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#385—31no—
553#385—31no—
554#384—31no—
555#383—31no—
556#381—31no—
557#380—31no—
558#380—31no—
559#380—31no—
560#380—31no—
561#379—31no—
562#379—31no—
563C4×C4⋊C4—31no—
564C4×C4⋊C4C2×D311yescharacteristic, complemented
565C4×C22⋊C4—31no—
566C4×C22⋊C4—31no—
567C4×C22⋊C4—31no—
568C4×C22⋊C4—31no—
569C4×C22⋊C4—31no—
570C2×#95—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×Q8—41no—
585C2×C3×Q8—41no—
586C2×C3×Q8C2×D414yes—
587C2×C3×D4—22no—
588C2×C3×D4—41no—
589C2×C3×D4—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—22no—
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×Dic3—22no—
622C22×Dic3—41no—
623C22×Dic3—41no—
624C22×Dic3C2411yescharacteristic
625C22×Dic3C2411yescharacteristic
626C22×Dic3C2411yescharacteristic
627C22×Dic3C2411yescharacteristic
628C22×Dic3C2411yescharacteristic
629C22×Dic3C2411yescharacteristic
630C22×Dic3C2411yescharacteristic
631C22×Dic3C2411yescharacteristic
632C22×Dic3C2411yescharacteristic
633C22×Dic3C2411yescharacteristic
634C22×Dic3C2411yescharacteristic
635C22×Dic3C2411yescharacteristic
636C2×D12—22no—
637C2×D12—22no—
638C2×D12—22no—
639C2×D12—22no—
640C2×D12—22no—
641C2×D12—22no—
642C2×D12—22no—
643C2×D12—22no—
644C2×D12—41no—
645C2×D12—41no—
646C2×D12—41no—
647C2×D12—41no—
648C2×D12—41no—
649C2×D12—41no—
650C2×D12C2×D414yes—
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—22no—
659C2×C4×D3—22no—
660C2×C4×D3—22no—
661C2×C4×D3—22no—
662C2×C4×D3—22no—
663C2×C4×D3—22no—
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×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×C4×D3—41no—
679C2×C4×D3—41no—
680C2×C4×D3—41no—
681C3×C4⋊C4—22no—
682C3×C4⋊C4—22no—
683C3×C4⋊C4—22no—
684C3×C4⋊C4—22no—
685C3×C4⋊C4—41no—
686C3×C4⋊C4—41no—
687C3×C4⋊C4—41no—
688C3×C4⋊C4—41no—
689C3×C22⋊C4—22no—
690C3×C22⋊C4—22no—
691C3×C22⋊C4—22no—
692C3×C22⋊C4—22no—
693C3×C22⋊C4—22no—
694C3×C22⋊C4—22no—
695C3×C22⋊C4—41no—
696C3×C22⋊C4—41no—
697C3×C22⋊C4—41no—
698C3×C22⋊C4—41no—
699C3×C22⋊C4—41no—
700C3×C22⋊C4—41no—
701C3×C42—22no—
702C3×C42—22no—
703C3×C42—22no—
704C3×C42—22no—
705C3×C42—41no—
706#217—22no—
707#217—22no—
708#217—22no—
709#217—41no—
710#217—41no—
711#217—41no—
712#217—41no—
713#217—41no—
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—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)⋊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—
752C4⋊Dic3—41no—
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—22no—
762Dic3⋊C4—22no—
763Dic3⋊C4—41no—
764Dic3⋊C4—41no—
765Dic3⋊C4—41no—
766Dic3⋊C4—41no—
767Dic3⋊C4—41no—
768Dic3⋊C4—41no—
769Dic3⋊C4—41no—
770Dic3⋊C4—41no—
771C4×Dic3—22no—
772C4×Dic3—22no—
773C4×Dic3—41no—
774C4×Dic3—41no—
775C4×Dic3—41no—
776C4×Dic3C2×D414yes—
777C25—31no—
778C22×Q8C22×D311yescharacteristic
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×D4—31no—
789C22×D4—31no—
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×C4—31no—
800C23×C4—31no—
801C23×C4—31no—
802#126—64no—
803#126—64no—
804#126—64no—
805#126—64no—
806#125—64no—
807#124—24no—
808#124—38no—
809#123—64no—
810#123—64no—
811#123—64no—
812#123—64no—
813#123—64no—
814#123—122no—
815C22⋊Q8—64no—
816C22⋊Q8—64no—
817#121—64no—
818#121—64no—
819#121—64no—
820#121—64no—
821#121—64no—
822#121—122no—
823#121—122no—
824#120—64no—
825#120—64no—
826#120—122no—
827C4×Q8—24no—
828C4×D4—64no—
829C4×D4—64no—
830C4×D4—64no—
831C4×D4—64no—
832C4×D4—64no—
833C4×D4—122no—
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⋊C4—31no—
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—64no—
931C2×C42C22×D311yescharacteristic
932C2×C42C22×D311yescharacteristic
933C2×C42C22×D311yescharacteristic
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#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—44no—
1010C22×D3—44no—
1011C22×D3—82no—
1012C22×D3—82no—
1013C22×D3—82no—
1014C22×D3—82no—
1015C22×D3—82no—
1016C22×D3C22×D412yes—
1017C22×D3C22×D412yes—
1018C22×D3C2×#4112yes—
1019C22×D3H(5,𝔽2)12yes—
1020C3×Q8—44no—
1021C3×D4—82no—
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—21no—
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×Dic3—21no—
1100C2×Dic3—82no—
1101C2×Dic3C22×D412yes—
1102C2×Dic3C22×D412yes—
1103C2×Dic3C2×#4112yes—
1104D12—44no—
1105D12—44no—
1106D12—44no—
1107D12—44no—
1108D12—44no—
1109C4×D3—44no—
1110C4×D3—44no—
1111C4×D3—44no—
1112C4×D3—44no—
1113C4×D3—44no—
1114C4×D3—82no—
1115C4×D3—82no—
1116C4×D3—82no—
1117C4×D3—82no—
1118C4×D3—82no—
1119C24—31no—
1120C24—31no—
1121C24—31no—
1122C24—31no—
1123C24—62no—
1124C24—62no—
1125C24—121no—
1126C24—121no—
1127C24—121no—
1128C24—121no—
1129C24—121no—
1130C24C23×D311yescharacteristic
1131C24C23×D311yescharacteristic
1132C2×Q8—41no—
1133C2×Q8—41no—
1134C2×Q8D3×D414yes—
1135C2×D4—22no—
1136C2×D4—34no—
1137C2×D4—41no—
1138C2×D4—41no—
1139C2×D4—62no—
1140C2×D4—62no—
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—62no—
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—
1171C22×C4—31no—
1172C22×C4—31no—
1173C22×C4—31no—
1174C22×C4—31no—
1175C22×C4—31no—
1176C22×C4—31no—
1177C22×C4—31no—
1178C22×C4—31no—
1179C22×C4—31no—
1180C22×C4—31no—
1181C22×C4—31no—
1182C22×C4—31no—
1183C22×C4—62no—
1184C22×C4—62no—
1185C22×C4—62no—
1186C22×C4—62no—
1187C22×C4—62no—
1188C22×C4—62no—
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—121no—
1198C22×C4—121no—
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×C4—121no—
1213C22×C4—121no—
1214C22×C4—121no—
1215C22×C4—121no—
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
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—41no—
1234C4⋊C4—41no—
1235C4⋊C4—41no—
1236C4⋊C4—41no—
1237C4⋊C4—62no—
1238C4⋊C4—62no—
1239C4⋊C4—62no—
1240C4⋊C4—62no—
1241C4⋊C4—62no—
1242C4⋊C4—62no—
1243C4⋊C4—62no—
1244C4⋊C4—62no—
1245C4⋊C4—62no—
1246C4⋊C4—62no—
1247C4⋊C4—62no—
1248C4⋊C4—62no—
1249C4⋊C4—62no—
1250C4⋊C4—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—34no—
1273C22⋊C4—41no—
1274C22⋊C4—41no—
1275C22⋊C4—41no—
1276C22⋊C4—41no—
1277C22⋊C4—41no—
1278C22⋊C4—41no—
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—62no—
1297C22⋊C4—62no—
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⋊C4—121no—
1314C42—22no—
1315C42—22no—
1316C42—22no—
1317C42—22no—
1318C42—34no—
1319C42—41no—
1320C42—62no—
1321C42—62no—
1322C42—121no—
1323C42—121no—
1324C42—121no—
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×C3—41no—
1339C22×C3C23×D411yescharacteristic
1340C22×C3C22×#4111yescharacteristic
1341C22×C3C2×H(5,𝔽2)11yescharacteristic
1342C22×C3#58511yescharacteristic
1343C22×C3#58511yescharacteristic
1344C22×C3#58511yescharacteristic
1345C22×C3#58511yescharacteristic
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—22no—
1355C2×D3—22no—
1356C2×D3—22no—
1357C2×D3—22no—
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—41no—
1374C2×D3—88no—
1375C3×C4—22no—
1376C3×C4—22no—
1377C3×C4—22no—
1378C3×C4—22no—
1379C3×C4—41no—
1380C3×C4—41no—
1381C3×C4—41no—
1382C3×C4—41no—
1383C3×C4—41no—
1384C3×C4—41no—
1385C3×C4—41no—
1386C3×C4—41no—
1387C3×C4—41no—
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—32no—
1415C23—32no—
1416C23—32no—
1417C23—32no—
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—61no—
1442C23—124no—
1443C23—124no—
1444C23—242no—
1445C23—242no—
1446C23—242no—
1447C23—242no—
1448C23—242no—
1449C23C24×D311yescharacteristic
1450Q8—44no—
1451D4—82no—
1452D4—124no—
1453D4—124no—
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—21no—
1497C2×C4—21no—
1498C2×C4—32no—
1499C2×C4—32no—
1500C2×C4—32no—
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—124no—
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×C4—242no—
1544C2×C4—242no—
1545C2×C4C2×D3×D412yes—
1546C2×C4C2×D3×D412yes—
1547C2×C4C2×D3×D412yes—
1548C2×C4D3×#4112yes—
1549C2×C3—81no—
1550C2×C3—81no—
1551C2×C3#345511yescharacteristic
1552C2×C3D4×#4111yescharacteristic
1553C2×C3#348511yescharacteristic
1554C2×C3#348811yescharacteristic
1555C2×C3#351311yescharacteristic
1556C2×C3#356011yescharacteristic
1557C2×C3#356611yescharacteristic
1558D3—42no—
1559D3—42no—
1560D3—42no—
1561D3—42no—
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—41no—
1575C22—41no—
1576C22—62no—
1577C22—62no—
1578C22—62no—
1579C22—62no—
1580C22—62no—
1581C22—62no—
1582C22—62no—
1583C22—62no—
1584C22—62no—
1585C22—62no—
1586C22—62no—
1587C22—62no—
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—121no—
1603C22—121no—
1604C22—248no—
1605C22C22×D3×D411yescharacteristic
1606C22C2×D3×#4111yescharacteristic
1607C22#596411yescharacteristic
1608C22#596411yescharacteristic
1609C22#596411yescharacteristic
1610C22D3×H(5,𝔽2)11yescharacteristic
1611C22#596811yescharacteristic
1612C4—22no—
1613C4—22no—
1614C4—22no—
1615C4—22no—
1616C4—41no—
1617C4—41no—
1618C4—41no—
1619C4—41no—
1620C4—41no—
1621C4—41no—
1622C4—41no—
1623C4—41no—
1624C4—41no—
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—81no—
1639C2—81no—
1640C2—122no—
1641C2—122no—
1642C2—122no—
1643C2—122no—
1644C2#8601211yescharacteristic
1645C2#8614611yescharacteristic
1646C2#8656811yescharacteristic
1647C2#8671011yescharacteristic
1648C2#8676911yescharacteristic
1649C2#8701411yescharacteristic
1650C2#8705311yescharacteristic
subgroupG/H
center, FrattiniC23C24×D3
commutator, socle, cosocleC23×C3C25
FittingC3×#2448C2
hypercenter#2448D3
hypocenterC3#37728
LCSG ▷ C23×C3 ▷ C3
UCSC1 ◁ C23 ◁ #2448

Complements

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

NH ≅ G/Ntype
1. C2×#5678C2semidirect
2. C2×#5580C2semidirect
3. C3×#2448C2semidirect
4. #83006C2semidirect
5. #82494C2semidirect
6. #78118C2semidirect
7. #78113C2semidirect
8. #78101C2semidirect
9. #78051C2semidirect
10. #77695C2semidirect
11. #77689C2semidirect
12. #77566C2semidirect
13. #77465C2semidirect
14. #76654C2semidirect
15. #76488C2semidirect
16. #76468C2semidirect
17. #76447C2semidirect
18. #76442C2semidirect
19. #76331C2semidirect
20. #76270C2semidirect
21. #76226C2semidirect
22. #75958C2semidirect
23. #75857C2semidirect
24. #75849C2semidirect
25. #75847C2semidirect
26. #75845C2semidirect
27. #75832C2semidirect
28. #75525C2semidirect
29. #75452C2semidirect
30. #73783C2semidirect
31. #73772C2semidirect
34. C2×C3×C4×Q8C22semidirect
37. C2×#946C22semidirect
43. C2×#898C22semidirect
47. C2×#894C22semidirect
48. C2×#894C22semidirect
50. C2×#890C22semidirect
61. C2×#67⋊C4C22semidirect
69. C2×C4×D12C22semidirect
71. C2×#872C22semidirect
72. C2×C42×D3C22semidirect
74. C3×#399C22semidirect
76. C3×#397C22semidirect
77. C3×#391C22semidirect
80. C3×#389C22semidirect
83. C3×#388C22semidirect
84. C3×#388C22semidirect
85. C3×C4×C4⋊C4C22semidirect
86. #5229C22semidirect
94. #4990C22semidirect
99. #4989C22semidirect
100. #4989C22semidirect
101. #4989C22semidirect
104. #4983C22semidirect
105. #4983C22semidirect
106. #4982C22semidirect
107. #4982C22semidirect
108. #4981C22semidirect
109. #4980C22semidirect
110. #4976C22semidirect
111. #4975C22semidirect
115. #4961C22semidirect
116. #4960C22semidirect
122. #4957C22semidirect
128. #4956C22semidirect
129. #4956C22semidirect
130. #4956C22semidirect
133. #4953C22semidirect
138. #4948C22semidirect
139. #4946C22semidirect
140. #4946C22semidirect
145. Dic3×C22⋊C4C22semidirect
150. #4940C22semidirect
151. #4940C22semidirect
153. C4×(C2×D3)⋊C4C22semidirect
154. #4933C22semidirect
155. #4933C22semidirect
156. #4933C22semidirect
157. #4928C22semidirect
160. #4674C22semidirect
165. #4669C22semidirect
167. #4668C22semidirect
168. #4668C22semidirect
169. #4668C22semidirect
171. #4667C22semidirect
180. D3×#95C22semidirect
181. #4659C22semidirect
182. #4659C22semidirect
183. #4657C22semidirect
184. #4657C22semidirect
185. #4654C22semidirect
186. #4651C22semidirect
187. #4649C22semidirect
188. #4647C22semidirect
189. #4647C22semidirect
209. #2448D3semidirect
281. #947D4semidirect
441. C2×C4×Q8C2×D3semidirect
460. #399C2×D3semidirect
474. #397C2×D3semidirect
495. #391C2×D3semidirect
504. #389C2×D3semidirect
521. #388C2×D3semidirect
522. #388C2×D3semidirect
564. C4×C4⋊C4C2×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×#56782
C2×#55802
C3×#24482
#830062
#824942
#781182
#781132
#781012
#780512
#776952
#776892
#775662
#774652
#766542
#764882
#764682
#764472
#764422
#763312
#762702
#762262
#759582
#758572
#758492
#758472
#758452
#758322
#755252
#754522
#737832
#737722
#377283