Finite Group Databasebeta

← #11235598

Subgroups — #11235598

Order 768.

2384 conjugacy classes of subgroups.

The subgroup lattice has 1622 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#5735C211yesmaximal, characteristic, complemented
2C2×#5627C211yesmaximal, characteristic
3C3×#2677C211yesmaximal, characteristic, complemented
4#83266C211yesmaximal, characteristic, complemented
5#83255C211yesmaximal, characteristic, complemented
6#83236C211yesmaximal, characteristic, complemented
7#82834C211yesmaximal, characteristic, complemented
8#82829C211yesmaximal, characteristic, complemented
9#82802C211yesmaximal, characteristic, complemented
10#78116C211yesmaximal, characteristic, complemented
11#78104C211yesmaximal, characteristic, complemented
12#78005C211yesmaximal, characteristic, complemented
13#77970C211yesmaximal, characteristic, complemented
14#77761C211yesmaximal, characteristic, complemented
15#77755C211yesmaximal, characteristic, complemented
16#77274C211yesmaximal, characteristic, complemented
17#77252C211yesmaximal, characteristic, complemented
18#77249C211yesmaximal, characteristic, complemented
19#77216C211yesmaximal, characteristic, complemented
20#76876C211yesmaximal, characteristic, complemented
21#76783C211yesmaximal, characteristic, complemented
22#75923C211yesmaximal, characteristic, complemented
23#75920C211yesmaximal, characteristic, complemented
24#75518C211yesmaximal, characteristic, complemented
25#75510C211yesmaximal, characteristic, complemented
26#75312C211yesmaximal, characteristic, complemented
27#75150C211yesmaximal, characteristic, complemented
28#75015C211yesmaximal, characteristic, complemented
29#74990C211yesmaximal, characteristic, complemented
30#74655C211yesmaximal, characteristic, complemented
31#74515C211yesmaximal, characteristic, complemented
32#45453—31nomaximal, Sylow
33C22×#239C2211yescharacteristic
34C23×C4×D3C2211yescharacteristic
35C2×C3×C4⋊Q8C2211yescharacteristic, complemented
36C2×C3×C4⋊Q8C2211yescharacteristic, complemented
37C2×C3×C22⋊Q8C2211yescharacteristic
38C2×C3×C22⋊Q8C2211yescharacteristic
39C2×#947C2211yescharacteristic
40C2×#946C2211yescharacteristic
41C2×#946C2211yescharacteristic
42C2×#946C2211yescharacteristic
43C2×#946C2211yescharacteristic, complemented
44C2×#946C2211yescharacteristic, complemented
45C2×#944C2211yescharacteristic, complemented
46C2×#930C2211yescharacteristic
47#5735—28no—
48#5627—28no—
49C2×#898C2211yescharacteristic
50C2×#898C2211yescharacteristic, complemented
51C2×#896C2211yescharacteristic
52C2×#896C2211yescharacteristic
53C2×#896C2211yescharacteristic, complemented
54C2×#895C2211yescharacteristic
55C2×#894C2211yescharacteristic
56C2×#894C2211yescharacteristic
57C2×#894C2211yescharacteristic
58C2×#894C2211yescharacteristic, complemented
59C2×#893C2211yescharacteristic
60C2×#893C2211yescharacteristic
61C2×#892C2211yescharacteristic
62C2×D3×C4⋊C4C2211yescharacteristic, complemented
63C2×#889C2211yescharacteristic, complemented
64C2×#889C2211yescharacteristic, complemented
65C2×#882C2211yescharacteristic
66C2×#882C2211yescharacteristic
67C2×#67⋊C4C2211yescharacteristic
68C2×#67⋊C4C2211yescharacteristic
69C2×#878C2211yescharacteristic
70C2×#876C2211yescharacteristic
71C2×#876C2211yescharacteristic, complemented
72C3×#399C2211yescharacteristic
73C3×#398C2211yescharacteristic, complemented
74C3×#398C2211yescharacteristic, complemented
75C3×#395C2211yescharacteristic, complemented
76C3×#395C2211yescharacteristic, complemented
77C3×#393C2211yescharacteristic
78C3×#388C2211yescharacteristic
79C3×#388C2211yescharacteristic
80C3×#387C2211yescharacteristic, complemented
81C3×#387C2211yescharacteristic, complemented
82C3×#385C2211yescharacteristic
83#5231C2211yescharacteristic
84#5231C2211yescharacteristic, complemented
85#5230C2211yescharacteristic, complemented
86#5229C2211yescharacteristic, complemented
87#5212C2211yescharacteristic
88#5210C2211yescharacteristic
89#4994C2211yescharacteristic
90#4994C2211yescharacteristic
91#4994C2211yescharacteristic, complemented
92#4994C2211yescharacteristic, complemented
93#4993C2211yescharacteristic
94#4991C2211yescharacteristic
95#4991C2211yescharacteristic
96#4991C2211yescharacteristic
97#4991C2211yescharacteristic, complemented
98#4991C2211yescharacteristic, complemented
99#4990C2211yescharacteristic
100#4990C2211yescharacteristic, complemented
101#4989C2211yescharacteristic
102#4989C2211yescharacteristic
103#4989C2211yescharacteristic
104#4989C2211yescharacteristic
105#4989C2211yescharacteristic
106#4989C2211yescharacteristic
107#4989C2211yescharacteristic, complemented
108#4989C2211yescharacteristic, complemented
109#4989C2211yescharacteristic, complemented
110#4988C2211yescharacteristic
111#4987C2211yescharacteristic
112#4987C2211yescharacteristic
113#4984C2211yescharacteristic, complemented
114#4984C2211yescharacteristic, complemented
115#4983C2211yescharacteristic, complemented
116#4983C2211yescharacteristic, complemented
117#4982C2211yescharacteristic, complemented
118#4982C2211yescharacteristic, complemented
119#4982C2211yescharacteristic, complemented
120#4981C2211yescharacteristic, complemented
121#4980C2211yescharacteristic, complemented
122#4979C2211yescharacteristic, complemented
123#4976C2211yescharacteristic, complemented
124#4972C2211yescharacteristic, complemented
125#4961C2211yescharacteristic
126#4961C2211yescharacteristic
127#4959C2211yescharacteristic
128#4959C2211yescharacteristic
129#4957C2211yescharacteristic
130#4957C2211yescharacteristic
131#4956C2211yescharacteristic
132#4956C2211yescharacteristic
133#4955C2211yescharacteristic
134#4955C2211yescharacteristic
135#4955C2211yescharacteristic
136#4955C2211yescharacteristic
137#4948C2211yescharacteristic
138#4948C2211yescharacteristic
139#4946C2211yescharacteristic
140#4946C2211yescharacteristic
141#4945C2211yescharacteristic
142#4944C2211yescharacteristic
143#4942C2211yescharacteristic
144#4940C2211yescharacteristic
145#4939C2211yescharacteristic
146#4939C2211yescharacteristic
147C4×(C2×D3)⋊C4C2211yescharacteristic, complemented
148#4933C2211yescharacteristic, complemented
149C4×Dic3⋊C4C2211yescharacteristic, complemented
150#4676C2211yescharacteristic, complemented
151#4676C2211yescharacteristic, complemented
152#4675C2211yescharacteristic
153#4675C2211yescharacteristic
154#4675C2211yescharacteristic
155#4675C2211yescharacteristic, complemented
156#4674C2211yescharacteristic
157#4674C2211yescharacteristic, complemented
158#4673C2211yescharacteristic, complemented
159#4672C2211yescharacteristic
160#4672C2211yescharacteristic
161#4672C2211yescharacteristic
162#4672C2211yescharacteristic
163#4672C2211yescharacteristic
164#4670C2211yescharacteristic
165#4670C2211yescharacteristic
166#4669C2211yescharacteristic
167#4669C2211yescharacteristic
168#4669C2211yescharacteristic, complemented
169#4668C2211yescharacteristic
170#4668C2211yescharacteristic
171#4668C2211yescharacteristic, complemented
172#4668C2211yescharacteristic, complemented
173#4668C2211yescharacteristic, complemented
174#4667C2211yescharacteristic
175#4667C2211yescharacteristic
176#4665C2211yescharacteristic
177#4665C2211yescharacteristic
178#4665C2211yescharacteristic
179#4665C2211yescharacteristic, complemented
180#4664C2211yescharacteristic, complemented
181#4657C2211yescharacteristic, complemented
182#4657C2211yescharacteristic, complemented
183#4655C2211yescharacteristic, complemented
184#4653C2211yescharacteristic, complemented
185#4653C2211yescharacteristic, complemented
186#4652C2211yescharacteristic, complemented
187#4649C2211yescharacteristic, complemented
188#4647C2211yescharacteristic, complemented
189#4647C2211yescharacteristic, complemented
190C2×#563—31no—
191C2×#525—31no—
192#2848—31no—
193#2848—31no—
194#2814—31no—
195#2814—31no—
196#2704—31no—
197#2704—31no—
198#2697—31no—
199#2691—31no—
200#2691—31no—
201#2685—31no—
202#2685—31no—
203#2684—31no—
204#2681—31no—
205#2681—31no—
206#2677—31no—
207#2677D311yescharacteristic, complemented
208#2478—31no—
209#2478—31no—
210#2468—31no—
211#2468—31no—
212#2460—31no—
213#2460—31no—
214#2452—31no—
215#2452—31no—
216#2449—31no—
217#2449—31no—
218#2432—31no—
219#2406—31no—
220#2376—31no—
221C24×D3C2311yescharacteristic
222C22×C3×Q8C2311yescharacteristic
223C22×C3×Q8C2311yescharacteristic
224C22×C3×Q8C2311yescharacteristic
225C23×C3×C4C2311yescharacteristic
226C22×#67C2311yescharacteristic
227C22×#67C2311yescharacteristic
228C23×Dic3C2311yescharacteristic
229C2×#239—24no—
230C2×#239—42no—
231C2×#239—42no—
232C22×D12C2311yescharacteristic
233C22×D12C2311yescharacteristic
234C22×D12C2311yescharacteristic
235C22×D12C2311yescharacteristic
236C22×D12C2311yescharacteristic
237C22×C4×D3—24no—
238C22×C4×D3—42no—
239C22×C4×D3—42no—
240C22×C4×D3C2311yescharacteristic
241C22×C4×D3C2311yescharacteristic
242C22×C4×D3C2311yescharacteristic
243C22×C4×D3C2311yescharacteristic
244C22×C4×D3C2311yescharacteristic
245C22×C4×D3C2311yescharacteristic
246C22×C4×D3C2311yescharacteristic
247C22×C4×D3C2311yescharacteristic
248C22×Dic6C2311yescharacteristic
249C3×C4⋊Q8—24no—
250C3×C4⋊Q8—42no—
251C3×C22⋊Q8—24no—
252C3×C22⋊Q8—42no—
253C2×C3×C4⋊C4C2311yescharacteristic
254C2×C3×C4⋊C4C2311yescharacteristic
255C2×C3×C4⋊C4C2311yescharacteristic
256C2×C3×C4⋊C4C2311yescharacteristic
257C2×C3×C4⋊C4C2311yescharacteristic
258C2×C3×C4⋊C4C2311yescharacteristic
259C2×C3×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×C42C2311yescharacteristic
273C2×C3×C42C2311yescharacteristic
274C2×#217C2311yescharacteristic
275C2×#217C2311yescharacteristic
276C2×#217C2311yescharacteristic
277C2×#217C2311yescharacteristic
278#947—24no—
279#946—24no—
280#946—24no—
281#946—24no—
282#946—42no—
283#946—42no—
284#944—24no—
285#930—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×(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×C4⋊Dic3C2311yescharacteristic
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×Dic3⋊C4C2311yescharacteristic
352C2×Dic3⋊C4C2311yescharacteristic
353C2×Dic3⋊C4C2311yescharacteristic
354C2×C4×Dic3C2311yescharacteristic
355C2×C4×Dic3C2311yescharacteristic
356C2×C4×Dic3C2311yescharacteristic
357C2×C4×Dic3C2311yescharacteristic
358C2×C4×Dic3C2311yescharacteristic
359C2×C4×Dic3C2311yescharacteristic
360#898—24no—
361#898—24no—
362#896—24no—
363#896—24no—
364#896—42no—
365#895—24no—
366#894—24no—
367#894—24no—
368#894—42no—
369#894D418yes—
370#893—24no—
371#893—24no—
372#892—24no—
373D3×C4⋊C4—42no—
374#889—24no—
375#889—24no—
376#882—24no—
377#882—24no—
378#67⋊C4—24no—
379#67⋊C4—24no—
380#878—42no—
381#876—24no—
382#876—24no—
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
414C3⋊#95C2311yescharacteristic
415C3⋊#95C2311yescharacteristic
416C3⋊#95C2311yescharacteristic
417C22×#41—31no—
418C24×C4—31no—
419#563—68no—
420C2×C4⋊Q8—31no—
421C2×C4⋊Q8C2×D311yescharacteristic, complemented
422C2×C4⋊Q8C2×D311yescharacteristic, complemented
423C2×#126—31no—
424C2×#126—31no—
425C2×#126—31no—
426C2×#126—31no—
427C2×#125—31no—
428C2×#125—31no—
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×C22⋊Q8—31no—
443C2×C22⋊Q8—31no—
444C2×C22⋊Q8C2×D311yescharacteristic
445C2×C22⋊Q8C2×D311yescharacteristic
446C2×#121—31no—
447C2×#121—31no—
448C2×#120—31no—
449C2×#120—31no—
450C2×C4×D4—31no—
451C2×C4×D4—31no—
452C2×C4×D4—31no—
453C2×C4×D4—31no—
454C2×#117—31no—
455C22×C4⋊C4—31no—
456#399—31no—
457#399C2×D311yescharacteristic
458#398—31no—
459#398—31no—
460#398—31no—
461#398—31no—
462#398—31no—
463#398—31no—
464#398—31no—
465#398—31no—
466#398C2×D311yescharacteristic, complemented
467#398C2×D311yescharacteristic, complemented
468#397—31no—
469#397—31no—
470#397—31no—
471#397—31no—
472#397—31no—
473#397—31no—
474#396—31no—
475#396—31no—
476#396—31no—
477#396—31no—
478#396—31no—
479#396—31no—
480#396—31no—
481#396—31no—
482#395—31no—
483#395—31no—
484#395C2×D311yescharacteristic, complemented
485#395C2×D311yescharacteristic, complemented
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#394—31no—
497#394—31no—
498#394—31no—
499#394—31no—
500#393—31no—
501#393—31no—
502#393—31no—
503#393C2×D311yescharacteristic
504#391—31no—
505#390—31no—
506#390—31no—
507#390—31no—
508#390—31no—
509#390—31no—
510#389—31no—
511#389—31no—
512#389—31no—
513#389—31no—
514#389—31no—
515#389—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#387—31no—
529#387—31no—
530#387—31no—
531#387—31no—
532#387—31no—
533#387—31no—
534#387C2×D311yescharacteristic, complemented
535#387C2×D311yescharacteristic, complemented
536#386—31no—
537#386—31no—
538#386—31no—
539#386—31no—
540#386—31no—
541#386—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#385—31no—
555#385—31no—
556#385—31no—
557#385—31no—
558#385—31no—
559#385C2×D311yescharacteristic
560#381—31no—
561#380—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—
570#379—31no—
571C4×C4⋊C4—31no—
572C4×C4⋊C4—31no—
573C4×C22⋊C4—31no—
574C24×C3C2411yescharacteristic
575C23×D3—22no—
576C23×D3—22no—
577C23×D3—22no—
578C23×D3—41no—
579C23×D3—41no—
580C23×D3—41no—
581C23×D3—41no—
582C23×D3C2411yescharacteristic
583C23×D3C2411yescharacteristic
584C23×D3C2411yescharacteristic
585C23×D3C2411yescharacteristic
586C2×C3×Q8—22no—
587C2×C3×Q8—22no—
588C2×C3×Q8—22no—
589C2×C3×Q8—22no—
590C2×C3×Q8—41no—
591C2×C3×Q8—41no—
592C2×C3×Q8—41no—
593C2×C3×Q8—41no—
594C2×C3×Q8—41no—
595C22×C3×C4—22no—
596C22×C3×C4—22no—
597C22×C3×C4—41no—
598C22×C3×C4C2411yescharacteristic
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—41no—
617C2×#67—41no—
618C22×Dic3—22no—
619C22×Dic3—22no—
620C22×Dic3—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
633#239—416no—
634C2×D12—22no—
635C2×D12—22no—
636C2×D12—22no—
637C2×D12—22no—
638C2×D12—22no—
639C2×D12—22no—
640C2×D12—22no—
641C2×D12—41no—
642C2×D12—41no—
643C2×D12—41no—
644C2×D12—41no—
645C2×D12—41no—
646C2×D12—41no—
647C2×D12—41no—
648C2×D12C2×D414yes—
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—22no—
659C2×C4×D3—22no—
660C2×C4×D3—22no—
661C2×C4×D3—416no—
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×D3—41no—
672C2×C4×D3—41no—
673C2×C4×D3C2×D414yes—
674C2×Dic6—22no—
675C2×Dic6—41no—
676C2×Dic6—41no—
677C3×C4⋊C4—22no—
678C3×C4⋊C4—22no—
679C3×C4⋊C4—22no—
680C3×C4⋊C4—22no—
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×C4⋊C4C2×D414yes—
690C3×C22⋊C4—22no—
691C3×C22⋊C4—22no—
692C3×C22⋊C4—22no—
693C3×C22⋊C4—41no—
694C3×C22⋊C4—41no—
695C3×C22⋊C4—41no—
696C3×C42—22no—
697C3×C42—41no—
698#217—22no—
699#217—41no—
700#217—41no—
701#217—41no—
702(C2×D3)⋊C4—22no—
703(C2×D3)⋊C4—22no—
704(C2×D3)⋊C4—22no—
705(C2×D3)⋊C4—22no—
706(C2×D3)⋊C4—22no—
707(C2×D3)⋊C4—22no—
708(C2×D3)⋊C4—22no—
709(C2×D3)⋊C4—22no—
710(C2×D3)⋊C4—22no—
711(C2×D3)⋊C4—22no—
712(C2×D3)⋊C4—22no—
713(C2×D3)⋊C4—22no—
714(C2×D3)⋊C4—22no—
715(C2×D3)⋊C4—22no—
716(C2×D3)⋊C4—41no—
717(C2×D3)⋊C4—41no—
718(C2×D3)⋊C4—41no—
719(C2×D3)⋊C4—41no—
720(C2×D3)⋊C4—41no—
721(C2×D3)⋊C4—41no—
722(C2×D3)⋊C4—41no—
723(C2×D3)⋊C4—41no—
724(C2×D3)⋊C4—41no—
725(C2×D3)⋊C4—41no—
726(C2×D3)⋊C4—41no—
727(C2×D3)⋊C4—41no—
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)⋊C4C2×D414yes—
738(C2×D3)⋊C4C2×D414yes—
739(C2×D3)⋊C4C2×D414yes—
740C4⋊Dic3—22no—
741C4⋊Dic3—22no—
742C4⋊Dic3—22no—
743C4⋊Dic3—22no—
744C4⋊Dic3—41no—
745C4⋊Dic3—41no—
746C4⋊Dic3—41no—
747C4⋊Dic3—41no—
748Dic3⋊C4—22no—
749Dic3⋊C4—22no—
750Dic3⋊C4—22no—
751Dic3⋊C4—22no—
752Dic3⋊C4—22no—
753Dic3⋊C4—22no—
754Dic3⋊C4—22no—
755Dic3⋊C4—22no—
756Dic3⋊C4—22no—
757Dic3⋊C4—22no—
758Dic3⋊C4—22no—
759Dic3⋊C4—22no—
760Dic3⋊C4—22no—
761Dic3⋊C4—22no—
762Dic3⋊C4—41no—
763Dic3⋊C4—41no—
764Dic3⋊C4—41no—
765Dic3⋊C4—41no—
766Dic3⋊C4—41no—
767Dic3⋊C4—41no—
768Dic3⋊C4—41no—
769Dic3⋊C4C2×D414yes—
770C4×Dic3—22no—
771C4×Dic3—22no—
772C4×Dic3—22no—
773C4×Dic3—22no—
774C4×Dic3—41no—
775C4×Dic3—41no—
776C25—31no—
777C2×#41—64no—
778C2×#41—122no—
779C2×#41—122no—
780C22×Q8—31no—
781C22×Q8C22×D311yescharacteristic
782C22×Q8C22×D311yescharacteristic
783C22×Q8C22×D311yescharacteristic
784C22×D4—31no—
785C22×D4—31no—
786C22×D4—31no—
787C22×D4—31no—
788C22×D4—31no—
789C22×D4—31no—
790C22×D4—31no—
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—64no—
801C23×C4—122no—
802C23×C4—122no—
803C23×C4C22×D311yescharacteristic
804C4⋊Q8—24no—
805C4⋊Q8—42no—
806C4⋊Q8—64no—
807#126—64no—
808#126—64no—
809#126—64no—
810#126—64no—
811#125—64no—
812#125—64no—
813#124—64no—
814#123—38no—
815#123—64no—
816#123—64no—
817#123—122no—
818C22⋊Q8—24no—
819C22⋊Q8—42no—
820C22⋊Q8—64no—
821C22⋊Q8—64no—
822C22⋊Q8—64no—
823C22⋊Q8—64no—
824C22⋊Q8—64no—
825C22⋊Q8—122no—
826C22⋊Q8—122no—
827C22⋊Q8—122no—
828C22⋊Q8—122no—
829#121—64no—
830#121—64no—
831#120—64no—
832#120—64no—
833C4×D4—64no—
834C4×D4—64no—
835C4×D4—64no—
836C4×D4—64no—
837#117—64no—
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⋊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—122no—
869C2×C4⋊C4C22×D311yescharacteristic
870C2×C4⋊C4C22×D311yescharacteristic
871C2×C4⋊C4C22×D311yescharacteristic
872C2×C4⋊C4C22×D311yescharacteristic
873C2×C4⋊C4C22×D311yescharacteristic
874C2×C4⋊C4C22×D311yescharacteristic
875C2×C4⋊C4C22×D311yescharacteristic
876C2×C4⋊C4C22×D311yescharacteristic
877C2×C4⋊C4C22×D311yescharacteristic
878C2×C4⋊C4C22×D311yescharacteristic
879C2×C4⋊C4C22×D311yescharacteristic
880C2×C4⋊C4C22×D311yescharacteristic
881C2×C4⋊C4C22×D311yescharacteristic
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—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⋊C4C22×D311yescharacteristic
925C2×C22⋊C4C22×D311yescharacteristic
926C2×C22⋊C4C22×D311yescharacteristic
927C2×C22⋊C4C22×D311yescharacteristic
928C2×C22⋊C4C22×D311yescharacteristic
929C2×C22⋊C4C22×D311yescharacteristic
930C2×C42—31no—
931C2×C42—31no—
932C2×C42—31no—
933C2×C42—31no—
934C2×C42—31no—
935C2×C42—31no—
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
970#95C22×D311yescharacteristic
971#95C22×D311yescharacteristic
972C23×C3—21no—
973C23×C3—21no—
974C23×C3—21no—
975C23×C3—21no—
976C23×C3—21no—
977C23×C3—21no—
978C23×C32−1+412yes—
979C23×C3C2511yescharacteristic
980C22×D3—21no—
981C22×D3—21no—
982C22×D3—21no—
983C22×D3—21no—
984C22×D3—21no—
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—44no—
1006C22×D3—44no—
1007C22×D3—44no—
1008C22×D3—44no—
1009C22×D3—44no—
1010C22×D3—44no—
1011C22×D3—44no—
1012C22×D3C22×D412yes—
1013C22×D3C22×D412yes—
1014C22×D32−1+412yes—
1015C3×Q8—44no—
1016C3×Q8—82no—
1017C3×Q8—82no—
1018C2×C3×C4—21no—
1019C2×C3×C4—21no—
1020C2×C3×C4—21no—
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×C4H(5,𝔽2)12yes—
1061#67—44no—
1062#67—44no—
1063C2×Dic3—21no—
1064C2×Dic3—21no—
1065C2×Dic3—21no—
1066C2×Dic3—21no—
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—44no—
1097C2×Dic3C22×D412yes—
1098C2×Dic3C22×D412yes—
1099C2×Dic3H(5,𝔽2)12yes—
1100D12—44no—
1101D12—44no—
1102D12—44no—
1103D12—44no—
1104D12—44no—
1105C4×D3—28no—
1106C4×D3—44no—
1107C4×D3—44no—
1108C4×D3—44no—
1109C4×D3—44no—
1110C4×D3—44no—
1111C4×D3—44no—
1112C4×D3—82no—
1113Dic6—82no—
1114C24—31no—
1115C24—31no—
1116C24—31no—
1117C24—31no—
1118C24—62no—
1119C24—62no—
1120C24—62no—
1121C24—121no—
1122C24—121no—
1123C24—121no—
1124C24—121no—
1125C24C23×D311yescharacteristic
1126#41—1216no—
1127C2×Q8—22no—
1128C2×Q8—22no—
1129C2×Q8—22no—
1130C2×Q8—22no—
1131C2×Q8—41no—
1132C2×Q8—41no—
1133C2×Q8—41no—
1134C2×Q8—41no—
1135C2×Q8—41no—
1136C2×Q8—62no—
1137C2×Q8—121no—
1138C2×Q8—121no—
1139C2×D4—34no—
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—121no—
1152C2×D4—121no—
1153C2×D4—121no—
1154C2×D4—121no—
1155C2×D4—121no—
1156C2×D4—121no—
1157C2×D4—121no—
1158C2×D4—121no—
1159C2×D4—121no—
1160C22×C4—22no—
1161C22×C4—22no—
1162C22×C4—31no—
1163C22×C4—31no—
1164C22×C4—31no—
1165C22×C4—34no—
1166C22×C4—31no—
1167C22×C4—31no—
1168C22×C4—31no—
1169C22×C4—31no—
1170C22×C4—31no—
1171C22×C4—31no—
1172C22×C4—31no—
1173C22×C4—31no—
1174C22×C4—31no—
1175C22×C4—41no—
1176C22×C4—62no—
1177C22×C4—62no—
1178C22×C4—62no—
1179C22×C4—62no—
1180C22×C4—62no—
1181C22×C4—62no—
1182C22×C4—62no—
1183C22×C4—62no—
1184C22×C4—62no—
1185C22×C4—62no—
1186C22×C4—62no—
1187C22×C4—62no—
1188C22×C4—62no—
1189C22×C4—62no—
1190C22×C4—121no—
1191C22×C4—121no—
1192C22×C4—121no—
1193C22×C4—121no—
1194C22×C4—121no—
1195C22×C4—121no—
1196C22×C4—121no—
1197C22×C4—121no—
1198C22×C4—121no—
1199C22×C4—121no—
1200C22×C4—121no—
1201C22×C4—1216no—
1202C22×C4—121no—
1203C22×C4C23×D311yescharacteristic
1204C22×C4C23×D311yescharacteristic
1205C22×C4C23×D311yescharacteristic
1206C22×C4C23×D311yescharacteristic
1207C22×C4C23×D311yescharacteristic
1208C22×C4C23×D311yescharacteristic
1209C22×C4C23×D311yescharacteristic
1210C22×C4C23×D311yescharacteristic
1211C22×C4C23×D311yescharacteristic
1212C22×C4C23×D311yescharacteristic
1213C22×C4C23×D311yescharacteristic
1214C22×C4C23×D311yescharacteristic
1215C22×C4C23×D311yescharacteristic
1216C22×C4C23×D311yescharacteristic
1217C4⋊C4—22no—
1218C4⋊C4—22no—
1219C4⋊C4—22no—
1220C4⋊C4—22no—
1221C4⋊C4—22no—
1222C4⋊C4—22no—
1223C4⋊C4—22no—
1224C4⋊C4—22no—
1225C4⋊C4—34no—
1226C4⋊C4—41no—
1227C4⋊C4—41no—
1228C4⋊C4—41no—
1229C4⋊C4—41no—
1230C4⋊C4—62no—
1231C4⋊C4—62no—
1232C4⋊C4—62no—
1233C4⋊C4—62no—
1234C4⋊C4—62no—
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—121no—
1249C4⋊C4—121no—
1250C4⋊C4—121no—
1251C4⋊C4—121no—
1252C4⋊C4—121no—
1253C4⋊C4—121no—
1254C4⋊C4—121no—
1255C4⋊C4—121no—
1256C4⋊C4—121no—
1257C4⋊C4—121no—
1258C4⋊C4—121no—
1259C4⋊C4D3×D414yes—
1260C22⋊C4—22no—
1261C22⋊C4—22no—
1262C22⋊C4—22no—
1263C22⋊C4—34no—
1264C22⋊C4—34no—
1265C22⋊C4—34no—
1266C22⋊C4—41no—
1267C22⋊C4—41no—
1268C22⋊C4—41no—
1269C22⋊C4—62no—
1270C22⋊C4—62no—
1271C22⋊C4—62no—
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—121no—
1285C22⋊C4—121no—
1286C22⋊C4—121no—
1287C22⋊C4—121no—
1288C22⋊C4—121no—
1289C22⋊C4—121no—
1290C22⋊C4—121no—
1291C22⋊C4—121no—
1292C22⋊C4—121no—
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—
1308C42—22no—
1309C42—41no—
1310C42—62no—
1311C42—62no—
1312C42—62no—
1313C42—62no—
1314C42—121no—
1315C42—121no—
1316C22×C3—22no—
1317C22×C3—22no—
1318C22×C3—22no—
1319C22×C3—41no—
1320C22×C3—41no—
1321C22×C3—41no—
1322C22×C3—41no—
1323C22×C3C23×D411yescharacteristic
1324C22×C3C2×H(5,𝔽2)11yescharacteristic
1325C22×C3C2×H(5,𝔽2)11yescharacteristic
1326C22×C3C2×2−1+411yescharacteristic
1327C22×C3C2×2−1+411yescharacteristic
1328C22×C3#58511yescharacteristic
1329C22×C3#58511yescharacteristic
1330C2×D3—22no—
1331C2×D3—22no—
1332C2×D3—22no—
1333C2×D3—22no—
1334C2×D3—22no—
1335C2×D3—22no—
1336C2×D3—22no—
1337C2×D3—22no—
1338C2×D3—22no—
1339C2×D3—416no—
1340C2×D3—41no—
1341C2×D3—41no—
1342C2×D3—41no—
1343C2×D3—41no—
1344C2×D3—41no—
1345C2×D3—41no—
1346C2×D3—41no—
1347C2×D3—41no—
1348C2×D3—41no—
1349C2×D3—41no—
1350C2×D3—41no—
1351C2×D3—41no—
1352C2×D3—41no—
1353C2×D3—41no—
1354C2×D3—41no—
1355C2×D3—41no—
1356C2×D3—41no—
1357C2×D3—41no—
1358C2×D3—41no—
1359C3×C4—22no—
1360C3×C4—22no—
1361C3×C4—22no—
1362C3×C4—22no—
1363C3×C4—41no—
1364C3×C4—41no—
1365C3×C4—41no—
1366C3×C4—41no—
1367C3×C4—41no—
1368C3×C4—41no—
1369C3×C4—41no—
1370C3×C4—41no—
1371C3×C4—41no—
1372C3×C4—41no—
1373Dic3—22no—
1374Dic3—22no—
1375Dic3—22no—
1376Dic3—41no—
1377Dic3—41no—
1378Dic3—41no—
1379Dic3—41no—
1380Dic3—41no—
1381Dic3—41no—
1382Dic3—41no—
1383Dic3—41no—
1384Dic3—41no—
1385C23—21no—
1386C23—21no—
1387C23—21no—
1388C23—21no—
1389C23—21no—
1390C23—21no—
1391C23—32no—
1392C23—32no—
1393C23—32no—
1394C23—61no—
1395C23—61no—
1396C23—61no—
1397C23—61no—
1398C23—61no—
1399C23—61no—
1400C23—61no—
1401C23—61no—
1402C23—61no—
1403C23—61no—
1404C23—61no—
1405C23—61no—
1406C23—61no—
1407C23—61no—
1408C23—61no—
1409C23—61no—
1410C23—61no—
1411C23—61no—
1412C23—61no—
1413C23—61no—
1414C23—61no—
1415C23—61no—
1416C23—61no—
1417C23—61no—
1418C23—61no—
1419C23—124no—
1420C23—124no—
1421C23—124no—
1422C23—124no—
1423C23—124no—
1424C23—124no—
1425C23—124no—
1426C23#100712yes—
1427C23C24×D311yescharacteristic
1428Q8—44no—
1429Q8—82no—
1430Q8—82no—
1431Q8—242no—
1432D4—124no—
1433D4—124no—
1434D4—124no—
1435D4—124no—
1436D4—124no—
1437D4—124no—
1438D4—124no—
1439C2×C4—21no—
1440C2×C4—21no—
1441C2×C4—21no—
1442C2×C4—21no—
1443C2×C4—21no—
1444C2×C4—21no—
1445C2×C4—21no—
1446C2×C4—21no—
1447C2×C4—21no—
1448C2×C4—21no—
1449C2×C4—21no—
1450C2×C4—21no—
1451C2×C4—21no—
1452C2×C4—21no—
1453C2×C4—21no—
1454C2×C4—21no—
1455C2×C4—21no—
1456C2×C4—21no—
1457C2×C4—21no—
1458C2×C4—21no—
1459C2×C4—21no—
1460C2×C4—21no—
1461C2×C4—21no—
1462C2×C4—21no—
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—32no—
1478C2×C4—32no—
1479C2×C4—32no—
1480C2×C4—44no—
1481C2×C4—68no—
1482C2×C4—61no—
1483C2×C4—61no—
1484C2×C4—61no—
1485C2×C4—61no—
1486C2×C4—61no—
1487C2×C4—61no—
1488C2×C4—61no—
1489C2×C4—61no—
1490C2×C4—61no—
1491C2×C4—61no—
1492C2×C4—61no—
1493C2×C4—61no—
1494C2×C4—61no—
1495C2×C4—61no—
1496C2×C4—61no—
1497C2×C4—61no—
1498C2×C4—61no—
1499C2×C4—61no—
1500C2×C4—61no—
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—124no—
1516C2×C4—124no—
1517C2×C4—124no—
1518C2×C4—124no—
1519C2×C4—124no—
1520C2×C4—124no—
1521C2×C4—124no—
1522C2×C4—242no—
1523C2×C4C2×D3×D412yes—
1524C2×C4C2×D3×D412yes—
1525C2×C4C2×D3×D412yes—
1526C2×C4#100412yes—
1527C2×C3—42no—
1528C2×C3#348411yescharacteristic
1529C2×C3#348911yescharacteristic
1530C2×C3#348911yescharacteristic
1531C2×C3#352911yescharacteristic
1532C2×C3#353811yescharacteristic
1533C2×C3#354111yescharacteristic
1534C2×C3#354111yescharacteristic
1535D3—42no—
1536D3—42no—
1537D3—42no—
1538D3—81no—
1539C22—22no—
1540C22—22no—
1541C22—22no—
1542C22—41no—
1543C22—41no—
1544C22—41no—
1545C22—41no—
1546C22—62no—
1547C22—62no—
1548C22—62no—
1549C22—62no—
1550C22—62no—
1551C22—62no—
1552C22—62no—
1553C22—62no—
1554C22—62no—
1555C22—1216no—
1556C22—121no—
1557C22—121no—
1558C22—121no—
1559C22—121no—
1560C22—121no—
1561C22—121no—
1562C22—121no—
1563C22—121no—
1564C22—121no—
1565C22—121no—
1566C22—121no—
1567C22—121no—
1568C22—121no—
1569C22—121no—
1570C22—121no—
1571C22—121no—
1572C22—121no—
1573C22—121no—
1574C22—121no—
1575C22C22×D3×D411yescharacteristic
1576C22C2×#100411yescharacteristic
1577C22C2×#100711yescharacteristic
1578C22D3×H(5,𝔽2)11yescharacteristic
1579C22D3×2−1+411yescharacteristic
1580C22#596811yescharacteristic
1581C22#596811yescharacteristic
1582C4—22no—
1583C4—22no—
1584C4—22no—
1585C4—22no—
1586C4—41no—
1587C4—41no—
1588C4—41no—
1589C4—41no—
1590C4—41no—
1591C4—41no—
1592C4—41no—
1593C4—41no—
1594C4—41no—
1595C4—41no—
1596C4—62no—
1597C4—62no—
1598C4—62no—
1599C4—121no—
1600C4—121no—
1601C4—121no—
1602C4—121no—
1603C4—121no—
1604C4—121no—
1605C4—121no—
1606C4—121no—
1607C4—121no—
1608C3#4545311yescharacteristic, complemented, Sylow
1609C2—42no—
1610C2—122no—
1611C2—122no—
1612C2—122no—
1613C2—241no—
1614C2#8635611yescharacteristic
1615C2#8636011yescharacteristic
1616C2#8658811yescharacteristic
1617C2#8662011yescharacteristic
1618C2#8674511yescharacteristic
1619C2#8675411yescharacteristic
1620C2#8711511yescharacteristic
subgroupG/H
center, FrattiniC23C24×D3
commutator, socle, cosocleC23×C3C25
FittingC3×#2677C2
prime radicalC2×#5627C2
hypercenter#2677D3
hypocenterC3#45453
LCSG ▷ C23×C3 ▷ C3
UCSC1 ◁ C23 ◁ #2677

Complements

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

NH ≅ G/Ntype
1. C2×#5735C2semidirect
3. C3×#2677C2semidirect
4. #83266C2semidirect
5. #83255C2semidirect
6. #83236C2semidirect
7. #82834C2semidirect
8. #82829C2semidirect
9. #82802C2semidirect
10. #78116C2semidirect
11. #78104C2semidirect
12. #78005C2semidirect
13. #77970C2semidirect
14. #77761C2semidirect
15. #77755C2semidirect
16. #77274C2semidirect
17. #77252C2semidirect
18. #77249C2semidirect
19. #77216C2semidirect
20. #76876C2semidirect
21. #76783C2semidirect
22. #75923C2semidirect
23. #75920C2semidirect
24. #75518C2semidirect
25. #75510C2semidirect
26. #75312C2semidirect
27. #75150C2semidirect
28. #75015C2semidirect
29. #74990C2semidirect
30. #74655C2semidirect
31. #74515C2semidirect
35. C2×C3×C4⋊Q8C22semidirect
36. C2×C3×C4⋊Q8C22semidirect
43. C2×#946C22semidirect
44. C2×#946C22semidirect
45. C2×#944C22semidirect
50. C2×#898C22semidirect
53. C2×#896C22semidirect
58. C2×#894C22semidirect
62. C2×D3×C4⋊C4C22semidirect
63. C2×#889C22semidirect
64. C2×#889C22semidirect
71. C2×#876C22semidirect
73. C3×#398C22semidirect
74. C3×#398C22semidirect
75. C3×#395C22semidirect
76. C3×#395C22semidirect
80. C3×#387C22semidirect
81. C3×#387C22semidirect
84. #5231C22semidirect
85. #5230C22semidirect
86. #5229C22semidirect
91. #4994C22semidirect
92. #4994C22semidirect
97. #4991C22semidirect
98. #4991C22semidirect
100. #4990C22semidirect
107. #4989C22semidirect
108. #4989C22semidirect
109. #4989C22semidirect
113. #4984C22semidirect
114. #4984C22semidirect
115. #4983C22semidirect
116. #4983C22semidirect
117. #4982C22semidirect
118. #4982C22semidirect
119. #4982C22semidirect
120. #4981C22semidirect
121. #4980C22semidirect
122. #4979C22semidirect
123. #4976C22semidirect
124. #4972C22semidirect
147. C4×(C2×D3)⋊C4C22semidirect
148. #4933C22semidirect
149. C4×Dic3⋊C4C22semidirect
150. #4676C22semidirect
151. #4676C22semidirect
155. #4675C22semidirect
157. #4674C22semidirect
158. #4673C22semidirect
168. #4669C22semidirect
171. #4668C22semidirect
172. #4668C22semidirect
173. #4668C22semidirect
179. #4665C22semidirect
180. #4664C22semidirect
181. #4657C22semidirect
182. #4657C22semidirect
183. #4655C22semidirect
184. #4653C22semidirect
185. #4653C22semidirect
186. #4652C22semidirect
187. #4649C22semidirect
188. #4647C22semidirect
189. #4647C22semidirect
207. #2677D3semidirect
421. C2×C4⋊Q8C2×D3semidirect
422. C2×C4⋊Q8C2×D3semidirect
466. #398C2×D3semidirect
467. #398C2×D3semidirect
484. #395C2×D3semidirect
485. #395C2×D3semidirect
534. #387C2×D3semidirect
535. #387C2×D3semidirect
1608. C3#45453semidirect

Maximal subgroups

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

subgroupindex
C2×#57352
C2×#56272
C3×#26772
#832662
#832552
#832362
#828342
#828292
#828022
#781162
#781042
#780052
#779702
#777612
#777552
#772742
#772522
#772492
#772162
#768762
#767832
#759232
#759202
#755182
#755102
#753122
#751502
#750152
#749902
#746552
#745152
#454533