Finite Group Databasebeta

← #11043362

Subgroups — #11043362

Order 768.

2322 conjugacy classes of subgroups.

The subgroup lattice has 1702 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C3×#2569C211yesmaximal, characteristic, complemented
2#78383C211yesmaximal, characteristic, complemented
3#78365C211yesmaximal, characteristic, complemented
4#78250C211yesmaximal, characteristic, complemented
5#78241C211yesmaximal, characteristic, complemented
6#77996C211yesmaximal, characteristic, complemented
7#77990C211yesmaximal, characteristic, complemented
8#77978C211yesmaximal, characteristic, complemented
9#77967C211yesmaximal, characteristic, complemented
10#75380C211yesmaximal, characteristic, complemented
11#75380C211yesmaximal, characteristic, complemented
12#75014C211yesmaximal, characteristic, complemented
13#75014C211yesmaximal, characteristic, complemented
14#75007C211yesmaximal, characteristic, complemented
15#75007C211yesmaximal, characteristic, complemented
16#74952C211yesmaximal, characteristic, complemented
17#74952C211yesmaximal, characteristic, complemented
18#74603C211yesmaximal, characteristic, complemented
19#74602C211yesmaximal, characteristic, complemented
20#74601C211yesmaximal, characteristic, complemented
21#74408C211yesmaximal, characteristic, complemented
22#74048C211yesmaximal, characteristic, complemented
23#74029C211yesmaximal, characteristic, complemented
24#74018C211yesmaximal, characteristic, complemented
25#74016C211yesmaximal, characteristic, complemented
26#74009C211yesmaximal, characteristic, complemented
27#73926C211yesmaximal, characteristic, complemented
28#73597C211yesmaximal, characteristic, complemented
29#73561C211yesmaximal, characteristic, complemented
30C2×#4665C211yesmaximal, characteristic, complemented
31#73338C211yesmaximal, characteristic, complemented
32#38388—31nomaximal, Sylow
33C23×D12C2211yescharacteristic
34C23×C4×D3C2211yescharacteristic
35C2×#930C2211yescharacteristic
36C2×C4×#67C2211yescharacteristic
37C2×C4×#67C2211yescharacteristic
38C22×(C2×D3)⋊C4C2211yescharacteristic
39C22×(C2×D3)⋊C4C2211yescharacteristic
40C22×(C2×D3)⋊C4C2211yescharacteristic
41C2×#895C2211yescharacteristic
42C2×#895C2211yescharacteristic
43C2×#895C2211yescharacteristic
44C2×#895C2211yescharacteristic
45C2×#895C2211yescharacteristic, complemented
46C2×#895C2211yescharacteristic, complemented
47C2×#894C2211yescharacteristic, complemented
48C2×#894C2211yescharacteristic, complemented
49C2×#886C2211yescharacteristic
50C2×#886C2211yescharacteristic
51C2×#882C2211yescharacteristic
52C2×#882C2211yescharacteristic
53C2×#882C2211yescharacteristic
54C2×#882C2211yescharacteristic
55C2×D3×C22⋊C4C2211yescharacteristic
56C2×#877C2211yescharacteristic
57C2×#872C2211yescharacteristic, complemented
58C2×#872C2211yescharacteristic, complemented
59C3×#400C2211yescharacteristic, complemented
60C3×#400C2211yescharacteristic, complemented
61C3×#398C2211yescharacteristic, complemented
62C3×#398C2211yescharacteristic, complemented
63C3×#387C2211yescharacteristic, complemented
64C3×#387C2211yescharacteristic, complemented
65C3×#387C2211yescharacteristic, complemented
66C3×#387C2211yescharacteristic, complemented
67C3×#385C2211yescharacteristic
68C3×#385C2211yescharacteristic
69C3×#380C2211yescharacteristic
70C3×#380C2211yescharacteristic
71C3×#380C2211yescharacteristic
72C3×C4×C22⋊C4C2211yescharacteristic
73C2×C3×#95C2211yescharacteristic
74#5213C2211yescharacteristic
75#5213C2211yescharacteristic
76C4×#217C2211yescharacteristic
77C2×C3⋊#95C2211yescharacteristic
78#4994C2211yescharacteristic, complemented
79#4994C2211yescharacteristic, complemented
80#4994C2211yescharacteristic, complemented
81#4994C2211yescharacteristic, complemented
82#4993C2211yescharacteristic, complemented
83#4993C2211yescharacteristic, complemented
84#4992C2211yescharacteristic, complemented
85#4992C2211yescharacteristic, complemented
86#4991C2211yescharacteristic
87#4991C2211yescharacteristic
88#4991C2211yescharacteristic, complemented
89#4991C2211yescharacteristic, complemented
90#4991C2211yescharacteristic, complemented
91#4991C2211yescharacteristic, complemented
92#4990C2211yescharacteristic, complemented
93#4990C2211yescharacteristic, complemented
94#4990C2211yescharacteristic, complemented
95#4990C2211yescharacteristic, complemented
96#4989C2211yescharacteristic, complemented
97#4989C2211yescharacteristic, complemented
98#4989C2211yescharacteristic, complemented
99#4989C2211yescharacteristic, complemented
100#4988C2211yescharacteristic
101#4988C2211yescharacteristic
102#4988C2211yescharacteristic, complemented
103#4988C2211yescharacteristic, complemented
104#4987C2211yescharacteristic, complemented
105#4987C2211yescharacteristic, complemented
106#4982C2211yescharacteristic, complemented
107#4982C2211yescharacteristic, complemented
108#4980C2211yescharacteristic, complemented
109#4980C2211yescharacteristic, complemented
110#4958C2211yescharacteristic
111#4958C2211yescharacteristic
112#4955C2211yescharacteristic
113#4955C2211yescharacteristic
114#4955C2211yescharacteristic
115#4943C2211yescharacteristic
116#4942C2211yescharacteristic
117#4942C2211yescharacteristic
118#4939C2211yescharacteristic, complemented
119#4939C2211yescharacteristic, complemented
120#4939C2211yescharacteristic, complemented
121#4939C2211yescharacteristic, complemented
122C4×(C2×D3)⋊C4C2211yescharacteristic, complemented
123C4×(C2×D3)⋊C4C2211yescharacteristic, complemented
124#4677C2211yescharacteristic, complemented
125#4677C2211yescharacteristic, complemented
126#4675C2211yescharacteristic, complemented
127#4675C2211yescharacteristic, complemented
128#4675C2211yescharacteristic, complemented
129#4675C2211yescharacteristic, complemented
130#4672C2211yescharacteristic
131#4672C2211yescharacteristic
132#4672C2211yescharacteristic, complemented
133#4672C2211yescharacteristic, complemented
134#4672C2211yescharacteristic, complemented
135#4672C2211yescharacteristic, complemented
136#4671C2211yescharacteristic
137#4671C2211yescharacteristic
138#4671C2211yescharacteristic
139#4671C2211yescharacteristic
140#4671C2211yescharacteristic, complemented
141#4671C2211yescharacteristic, complemented
142#4670C2211yescharacteristic, complemented
143#4670C2211yescharacteristic, complemented
144#4670C2211yescharacteristic, complemented
145#4670C2211yescharacteristic, complemented
146#4669C2211yescharacteristic, complemented
147#4669C2211yescharacteristic, complemented
148#4669C2211yescharacteristic, complemented
149#4669C2211yescharacteristic, complemented
150#4669C2211yescharacteristic, complemented
151#4669C2211yescharacteristic, complemented
152#4667C2211yescharacteristic, complemented
153#4667C2211yescharacteristic, complemented
154#4666C2211yescharacteristic, complemented
155#4666C2211yescharacteristic, complemented
156#4666C2211yescharacteristic, complemented
157#4666C2211yescharacteristic, complemented
158#4665C2211yescharacteristic
159#4665C2211yescharacteristic
160#4665C2211yescharacteristic
161#4665C2211yescharacteristic
162#4665C2211yescharacteristic
163#4665C2211yescharacteristic
164#4665C2211yescharacteristic
165#4665C2211yescharacteristic
166#4665C2211yescharacteristic
167#4665C2211yescharacteristic
168#4665C2211yescharacteristic, complemented
169#4665C2211yescharacteristic, complemented
170#4665C2211yescharacteristic, complemented
171#4665C2211yescharacteristic, complemented
172#4665C2211yescharacteristic, complemented
173#4665C2211yescharacteristic, complemented
174#4665C2211yescharacteristic, complemented
175#4665C2211yescharacteristic, complemented
176#4665C2211yescharacteristic, complemented
177#4665C2211yescharacteristic, complemented
178#4664C2211yescharacteristic, complemented
179#4664C2211yescharacteristic, complemented
180#4664C2211yescharacteristic, complemented
181#4664C2211yescharacteristic, complemented
182#4660C2211yescharacteristic, complemented
183#4660C2211yescharacteristic, complemented
184#4655C2211yescharacteristic, complemented
185#4655C2211yescharacteristic, complemented
186#4654C2211yescharacteristic, complemented
187#4654C2211yescharacteristic, complemented
188#2847—31no—
189#2748—31no—
190#2743—31no—
191#2741—31no—
192#2740—31no—
193#2703—31no—
194#2699—31no—
195#2688—31no—
196#2671—31no—
197#2648—31no—
198#2648—31no—
199#2569D311yescharacteristic, complemented
200#2539—31no—
201#2534—31no—
202#2498—31no—
203#2476—31no—
204#2476—31no—
205#2471—31no—
206#2471—31no—
207#2419—31no—
208#2418—31no—
209#2412—31no—
210#2411—31no—
211#2410—31no—
212#2408—31no—
213#2364—31no—
214#2342—31no—
215#2333—31no—
216#2333—31no—
217C2×#386—31no—
218#2280—31no—
219C24×D3C2311yescharacteristic
220C24×D3C2311yescharacteristic
221C23×C3×C4C2311yescharacteristic
222C23×C3×C4C2311yescharacteristic
223C23×C3×C4C2311yescharacteristic
224C22×#67C2311yescharacteristic
225C22×#67C2311yescharacteristic
226C23×Dic3C2311yescharacteristic
227C23×Dic3C2311yescharacteristic
228C22×D12—24no—
229C22×D12—42no—
230C22×D12—42no—
231C22×D12C2311yescharacteristic
232C22×D12C2311yescharacteristic
233C22×D12C2311yescharacteristic
234C22×D12C2311yescharacteristic
235C22×D12C2311yescharacteristic
236C22×D12C2311yescharacteristic
237C22×D12C2311yescharacteristic
238C22×D12C2311yescharacteristic
239C22×D12C2311yescharacteristic
240C22×D12C2311yescharacteristic
241C22×D12C2311yescharacteristic
242C22×D12C2311yescharacteristic
243C22×D12C2311yescharacteristic
244C22×C4×D3—24no—
245C22×C4×D3—42no—
246C22×C4×D3—42no—
247C22×C4×D3C2311yescharacteristic
248C22×C4×D3C2311yescharacteristic
249C22×C4×D3C2311yescharacteristic
250C22×C4×D3C2311yescharacteristic
251C22×C4×D3C2311yescharacteristic
252C22×C4×D3C2311yescharacteristic
253C22×C4×D3C2311yescharacteristic
254C22×C4×D3C2311yescharacteristic
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×C22⋊C4C2311yescharacteristic
266C2×C3×C22⋊C4C2311yescharacteristic
267C2×C3×C22⋊C4C2311yescharacteristic
268C2×C3×C22⋊C4C2311yescharacteristic
269C2×C3×C42C2311yescharacteristic
270C2×C3×C42C2311yescharacteristic
271C2×#217C2311yescharacteristic
272C2×#217C2311yescharacteristic
273#930—24no—
274C4×#67—42no—
275C4×#67—42no—
276C2×(C2×D3)⋊C4—24no—
277C2×(C2×D3)⋊C4—42no—
278C2×(C2×D3)⋊C4—42no—
279C2×(C2×D3)⋊C4C2311yescharacteristic
280C2×(C2×D3)⋊C4C2311yescharacteristic
281C2×(C2×D3)⋊C4C2311yescharacteristic
282C2×(C2×D3)⋊C4C2311yescharacteristic
283C2×(C2×D3)⋊C4C2311yescharacteristic
284C2×(C2×D3)⋊C4C2311yescharacteristic
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×(C2×D3)⋊C4C2311yescharacteristic
320C2×(C2×D3)⋊C4C2311yescharacteristic
321C2×(C2×D3)⋊C4C2311yescharacteristic
322C2×(C2×D3)⋊C4C2311yescharacteristic
323C2×(C2×D3)⋊C4C2311yescharacteristic
324C2×(C2×D3)⋊C4C2311yescharacteristic
325C2×(C2×D3)⋊C4C2311yescharacteristic
326C2×(C2×D3)⋊C4C2311yescharacteristic
327C2×(C2×D3)⋊C4C2311yescharacteristic
328C2×(C2×D3)⋊C4C2311yescharacteristic
329C2×C4⋊Dic3C2311yescharacteristic
330C2×C4⋊Dic3C2311yescharacteristic
331C2×C4⋊Dic3C2311yescharacteristic
332C2×C4⋊Dic3C2311yescharacteristic
333C2×C4⋊Dic3C2311yescharacteristic
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×C4×Dic3C2311yescharacteristic
343C2×C4×Dic3C2311yescharacteristic
344C2×C4×Dic3C2311yescharacteristic
345C2×C4×Dic3C2311yescharacteristic
346C2×C4×Dic3C2311yescharacteristic
347C2×C4×Dic3C2311yescharacteristic
348#895—24no—
349#895—24no—
350#895—42no—
351#895—42no—
352#895—42no—
353#895—42no—
354#894—42no—
355#894—42no—
356#886—42no—
357#886—42no—
358#882—42no—
359#882—42no—
360#882—42no—
361#882—42no—
362D3×C22⋊C4—42no—
363#877—42no—
364#872—42no—
365#872—42no—
366C3×#95C2311yescharacteristic
367C3×#95C2311yescharacteristic
368C3×#95C2311yescharacteristic
369C3×#95C2311yescharacteristic
370C3×#95C2311yescharacteristic
371C3×#95C2311yescharacteristic
372C3×#95C2311yescharacteristic
373C3×#95C2311yescharacteristic
374C3×#95C2311yescharacteristic
375C3×#95C2311yescharacteristic
376C3×#95C2311yescharacteristic
377C3×#95C2311yescharacteristic
378C3×#95C2311yescharacteristic
379C3×#95C2311yescharacteristic
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
404C23×D4—31no—
405C24×C4—31no—
406C2×#123—31no—
407C2×#123—31no—
408C2×#123—31no—
409C2×#123—31no—
410C2×#121—31no—
411C2×#121—31no—
412C2×#121—31no—
413C2×#121—31no—
414C2×#121—31no—
415C2×#121—31no—
416C2×#121—31no—
417C2×#120—31no—
418C2×#120—31no—
419C2×#120—31no—
420C2×#120—31no—
421C2×C4×D4—31no—
422C2×C4×D4—31no—
423C2×#117—31no—
424C2×#117—31no—
425C2×#117—31no—
426C22×C22⋊C4—31no—
427C22×C22⋊C4—31no—
428C22×C22⋊C4—31no—
429C22×C22⋊C4—31no—
430#400—31no—
431#400—31no—
432#400C2×D311yescharacteristic, complemented
433#400C2×D311yescharacteristic, complemented
434#399—31no—
435#399—31no—
436#399—31no—
437#399—31no—
438#398—31no—
439#398—31no—
440#398C2×D311yescharacteristic, complemented
441#398C2×D311yescharacteristic, complemented
442#397—31no—
443#397—31no—
444#397—31no—
445#397—31no—
446#397—31no—
447#397—31no—
448#396—31no—
449#396—31no—
450#396—31no—
451#396—31no—
452#394—31no—
453#394—31no—
454#394—31no—
455#394—31no—
456#394—31no—
457#394—31no—
458#394—31no—
459#394—31no—
460#394—31no—
461#394—31no—
462#394—31no—
463#394—31no—
464#392—31no—
465#392—31no—
466#392—31no—
467#392—31no—
468#392—31no—
469#392—31no—
470#390—31no—
471#390—31no—
472#390—31no—
473#390—31no—
474#390—31no—
475#390—31no—
476#390—31no—
477#390—31no—
478#388—31no—
479#388—31no—
480#388—31no—
481#388—31no—
482#388—31no—
483#388—31no—
484#388—31no—
485#388—31no—
486#388—31no—
487#388—31no—
488#388—31no—
489#388—31no—
490#388—31no—
491#388—31no—
492#387—31no—
493#387—31no—
494#387—31no—
495#387—31no—
496#387—31no—
497#387—31no—
498#387C2×D311yescharacteristic, complemented
499#387C2×D311yescharacteristic, complemented
500#387C2×D311yescharacteristic, complemented
501#387C2×D311yescharacteristic, complemented
502#386—31no—
503#386—31no—
504#386—31no—
505#386—31no—
506#386—31no—
507#386—31no—
508#386—31no—
509#386—31no—
510#386—31no—
511#386—31no—
512#386—31no—
513#386—31no—
514#386—31no—
515#386—31no—
516#386—31no—
517#386—31no—
518#386—31no—
519#386—31no—
520#386—31no—
521#386—31no—
522#386—31no—
523#386—31no—
524#386—31no—
525#386—31no—
526#385—31no—
527#385—31no—
528#385—31no—
529#385—31no—
530#385C2×D311yescharacteristic
531#385C2×D311yescharacteristic
532#381—31no—
533#381—31no—
534#381—31no—
535#381—31no—
536#381—31no—
537#380—31no—
538#380—31no—
539#380—31no—
540#380—31no—
541#380—31no—
542#380—31no—
543#380C2×D311yescharacteristic
544#380C2×D311yescharacteristic
545#380C2×D311yescharacteristic
546#379—31no—
547#379—31no—
548#379—31no—
549C4×C22⋊C4—31no—
550C4×C22⋊C4—31no—
551C4×C22⋊C4—31no—
552C4×C22⋊C4—31no—
553C4×C22⋊C4—31no—
554C4×C22⋊C4—31no—
555C4×C22⋊C4—31no—
556C4×C22⋊C4C2×D311yescharacteristic
557C2×#95—31no—
558C2×#95C2×D311yescharacteristic
559C24×C3C2411yescharacteristic
560C23×D3—22no—
561C23×D3—22no—
562C23×D3—22no—
563C23×D3—22no—
564C23×D3—22no—
565C23×D3—22no—
566C23×D3—22no—
567C23×D3—22no—
568C23×D3—22no—
569C23×D3—41no—
570C23×D3—41no—
571C23×D3—41no—
572C23×D3—41no—
573C23×D3—41no—
574C23×D3C2411yescharacteristic
575C23×D3C2411yescharacteristic
576C23×D3C2411yescharacteristic
577C23×D3C2411yescharacteristic
578C23×D3C2411yescharacteristic
579C23×D3C2411yescharacteristic
580C22×C3×C4—22no—
581C22×C3×C4—22no—
582C22×C3×C4—22no—
583C22×C3×C4—41no—
584C22×C3×C4—41no—
585C22×C3×C4—41no—
586C22×C3×C4—41no—
587C22×C3×C4—41no—
588C22×C3×C4#4114yes—
589C22×C3×C4C2411yescharacteristic
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—
609C22×Dic3—22no—
610C22×Dic3—22no—
611C22×Dic3—22no—
612C22×Dic3—22no—
613C22×Dic3—22no—
614C22×Dic3—41no—
615C22×Dic3C2411yescharacteristic
616C22×Dic3C2411yescharacteristic
617C22×Dic3C2411yescharacteristic
618C22×Dic3C2411yescharacteristic
619C22×Dic3C2411yescharacteristic
620C22×Dic3C2411yescharacteristic
621C22×Dic3C2411yescharacteristic
622C22×Dic3C2411yescharacteristic
623C22×Dic3C2411yescharacteristic
624C22×Dic3C2411yescharacteristic
625C2×D12—22no—
626C2×D12—22no—
627C2×D12—22no—
628C2×D12—22no—
629C2×D12—22no—
630C2×D12—22no—
631C2×D12—22no—
632C2×D12—22no—
633C2×D12—22no—
634C2×D12—22no—
635C2×D12—22no—
636C2×D12—22no—
637C2×D12—41no—
638C2×D12—41no—
639C2×D12—41no—
640C2×D12—41no—
641C2×D12—41no—
642C2×D12—41no—
643C2×D12—416no—
644C2×D12—41no—
645C2×D12—41no—
646C2×D12—41no—
647C2×D12—41no—
648C2×D12—41no—
649C2×D12—41no—
650C2×D12—41no—
651C2×D12—41no—
652C2×D12—41no—
653C2×D12—41no—
654C2×D12—41no—
655C2×D12—41no—
656C2×D12—41no—
657C2×D12—41no—
658C2×D12—41no—
659C2×D12—41no—
660C2×D12—41no—
661C2×D12—41no—
662C2×D12—41no—
663C2×D12—41no—
664C2×D12#4114yes—
665C2×C4×D3—22no—
666C2×C4×D3—22no—
667C2×C4×D3—22no—
668C2×C4×D3—22no—
669C2×C4×D3—22no—
670C2×C4×D3—22no—
671C2×C4×D3—22no—
672C2×C4×D3—22no—
673C2×C4×D3—22no—
674C2×C4×D3—22no—
675C2×C4×D3—416no—
676C2×C4×D3—41no—
677C2×C4×D3—41no—
678C2×C4×D3—41no—
679C2×C4×D3—41no—
680C2×C4×D3—41no—
681C2×C4×D3—41no—
682C2×C4×D3—41no—
683C2×C4×D3—41no—
684C2×C4×D3—41no—
685C2×C4×D3—41no—
686C2×C4×D3—41no—
687C2×C4×D3—41no—
688C2×C4×D3—41no—
689C2×C4×D3—41no—
690C3×C4⋊C4—22no—
691C3×C4⋊C4—22no—
692C3×C4⋊C4—41no—
693C3×C4⋊C4—41no—
694C3×C4⋊C4—41no—
695C3×C4⋊C4—41no—
696C3×C4⋊C4—41no—
697C3×C4⋊C4—41no—
698C3×C4⋊C4—41no—
699C3×C4⋊C4—41no—
700C3×C22⋊C4—22no—
701C3×C22⋊C4—22no—
702C3×C22⋊C4—22no—
703C3×C22⋊C4—22no—
704C3×C42—41no—
705C3×C42—41no—
706#217—22no—
707#217—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—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—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)⋊C4—41no—
738(C2×D3)⋊C4—41no—
739(C2×D3)⋊C4—41no—
740(C2×D3)⋊C4—41no—
741(C2×D3)⋊C4—41no—
742(C2×D3)⋊C4—41no—
743(C2×D3)⋊C4—41no—
744(C2×D3)⋊C4—41no—
745(C2×D3)⋊C4—41no—
746(C2×D3)⋊C4—41no—
747(C2×D3)⋊C4—41no—
748(C2×D3)⋊C4—41no—
749(C2×D3)⋊C4—41no—
750(C2×D3)⋊C4—41no—
751(C2×D3)⋊C4—41no—
752(C2×D3)⋊C4—41no—
753(C2×D3)⋊C4—41no—
754(C2×D3)⋊C4—41no—
755(C2×D3)⋊C4—41no—
756(C2×D3)⋊C4—41no—
757(C2×D3)⋊C4—41no—
758C4⋊Dic3—22no—
759C4⋊Dic3—41no—
760C4⋊Dic3—41no—
761C4⋊Dic3—41no—
762C4⋊Dic3—41no—
763Dic3⋊C4—22no—
764Dic3⋊C4—22no—
765Dic3⋊C4—41no—
766Dic3⋊C4—41no—
767Dic3⋊C4—41no—
768Dic3⋊C4—41no—
769Dic3⋊C4—41no—
770Dic3⋊C4—41no—
771C4×Dic3—41no—
772C4×Dic3—41no—
773C4×Dic3—41no—
774C4×Dic3—41no—
775C4×Dic3—41no—
776C4×Dic3—41no—
777C25—31no—
778C25—31no—
779C22×D4—31no—
780C22×D4—31no—
781C22×D4—31no—
782C22×D4—31no—
783C22×D4—31no—
784C22×D4—31no—
785C22×D4—31no—
786C22×D4—31no—
787C22×D4—31no—
788C22×D4—31no—
789C22×D4—31no—
790C22×D4—31no—
791C22×D4—31no—
792C22×D4—31no—
793C22×D4—31no—
794C22×D4—64no—
795C22×D4—122no—
796C22×D4—122no—
797C23×C4—31no—
798C23×C4—31no—
799C23×C4—31no—
800C23×C4—31no—
801C23×C4—31no—
802C23×C4—31no—
803C23×C4—31no—
804C23×C4—31no—
805C23×C4—31no—
806C23×C4—31no—
807C23×C4—64no—
808C23×C4—122no—
809C23×C4—122no—
810C23×C4C22×D311yescharacteristic
811C23×C4C22×D311yescharacteristic
812C23×C4C22×D311yescharacteristic
813#123—122no—
814#123—122no—
815#123—122no—
816#123—122no—
817#121—64no—
818#121—64no—
819#121—64no—
820#121—122no—
821#121—122no—
822#121—122no—
823#121—122no—
824#120—122no—
825#120—122no—
826#120—122no—
827#120—122no—
828C4×D4—122no—
829C4×D4—122no—
830#117—122no—
831#117—122no—
832#117—122no—
833C2×C4⋊C4—31no—
834C2×C4⋊C4—31no—
835C2×C4⋊C4—31no—
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⋊C4C22×D311yescharacteristic
847C2×C4⋊C4C22×D311yescharacteristic
848C2×C4⋊C4C22×D311yescharacteristic
849C2×C4⋊C4C22×D311yescharacteristic
850C2×C4⋊C4C22×D311yescharacteristic
851C2×C4⋊C4C22×D311yescharacteristic
852C2×C4⋊C4C22×D311yescharacteristic
853C2×C4⋊C4C22×D311yescharacteristic
854C2×C4⋊C4C22×D311yescharacteristic
855C2×C4⋊C4C22×D311yescharacteristic
856C2×C22⋊C4—31no—
857C2×C22⋊C4—31no—
858C2×C22⋊C4—31no—
859C2×C22⋊C4—31no—
860C2×C22⋊C4—31no—
861C2×C22⋊C4—31no—
862C2×C22⋊C4—31no—
863C2×C22⋊C4—31no—
864C2×C22⋊C4—31no—
865C2×C22⋊C4—31no—
866C2×C22⋊C4—31no—
867C2×C22⋊C4—31no—
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—64no—
909C2×C22⋊C4—122no—
910C2×C22⋊C4—122no—
911C2×C22⋊C4—122no—
912C2×C22⋊C4C22×D311yescharacteristic
913C2×C22⋊C4C22×D311yescharacteristic
914C2×C22⋊C4C22×D311yescharacteristic
915C2×C22⋊C4C22×D311yescharacteristic
916C2×C42—31no—
917C2×C42—31no—
918C2×C42—31no—
919C2×C42—31no—
920C2×C42—31no—
921C2×C42—31no—
922C2×C42C22×D311yescharacteristic
923C2×C42C22×D311yescharacteristic
924#95—31no—
925#95—31no—
926#95—31no—
927#95—31no—
928#95—31no—
929#95—31no—
930#95—31no—
931#95—31no—
932#95—31no—
933#95—31no—
934#95—31no—
935#95—31no—
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#95C22×D311yescharacteristic
947#95C22×D311yescharacteristic
948#95C22×D311yescharacteristic
949#95C22×D311yescharacteristic
950#95C22×D311yescharacteristic
951#95C22×D311yescharacteristic
952#95C22×D311yescharacteristic
953#95C22×D311yescharacteristic
954#95C22×D311yescharacteristic
955#95C22×D311yescharacteristic
956#95C22×D311yescharacteristic
957#95C22×D311yescharacteristic
958#95C22×D311yescharacteristic
959#95C22×D311yescharacteristic
960#95C22×D311yescharacteristic
961#95C22×D311yescharacteristic
962C23×C3—21no—
963C23×C3—21no—
964C23×C3—21no—
965C23×C3—21no—
966C23×C3C2×#4112yes—
967C23×C3H(5,𝔽2)12yes—
968C23×C3H(5,𝔽2)12yes—
969C23×C3C2511yescharacteristic
970C22×D3—28no—
971C22×D3—21no—
972C22×D3—21no—
973C22×D3—21no—
974C22×D3—21no—
975C22×D3—21no—
976C22×D3—21no—
977C22×D3—21no—
978C22×D3—21no—
979C22×D3—21no—
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—21no—
1006C22×D3—21no—
1007C22×D3—21no—
1008C22×D3—21no—
1009C22×D3—21no—
1010C22×D3—44no—
1011C22×D3—44no—
1012C22×D3—44no—
1013C22×D3—44no—
1014C22×D3—44no—
1015C22×D3—44no—
1016C22×D3—44no—
1017C22×D3—44no—
1018C22×D3—44no—
1019C22×D3—44no—
1020C22×D3—82no—
1021C22×D3—82no—
1022C22×D3—82no—
1023C22×D3C2×#4112yes—
1024C22×D3C2×#4112yes—
1025C22×D3H(5,𝔽2)12yes—
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×C4—21no—
1058C2×C3×C4—21no—
1059C2×C3×C4—21no—
1060C2×C3×C4—21no—
1061C2×C3×C4—21no—
1062C2×C3×C4—21no—
1063C2×C3×C4—21no—
1064C2×C3×C4—21no—
1065C2×C3×C4—44no—
1066C2×C3×C4—44no—
1067C2×C3×C4—82no—
1068C2×C3×C4C2×#4112yes—
1069C2×C3×C4C2×#4112yes—
1070C2×C3×C4C2×#4112yes—
1071#67—44no—
1072#67—44no—
1073C2×Dic3—21no—
1074C2×Dic3—21no—
1075C2×Dic3—21no—
1076C2×Dic3—21no—
1077C2×Dic3—21no—
1078C2×Dic3—21no—
1079C2×Dic3—21no—
1080C2×Dic3—21no—
1081C2×Dic3—21no—
1082C2×Dic3—21no—
1083C2×Dic3—21no—
1084C2×Dic3—21no—
1085C2×Dic3—21no—
1086C2×Dic3—21no—
1087C2×Dic3—21no—
1088C2×Dic3—21no—
1089C2×Dic3—21no—
1090C2×Dic3—21no—
1091C2×Dic3—21no—
1092C2×Dic3—21no—
1093C2×Dic3—21no—
1094C2×Dic3—21no—
1095C2×Dic3—21no—
1096C2×Dic3—21no—
1097C2×Dic3—21no—
1098C2×Dic3—21no—
1099C2×Dic3—21no—
1100C2×Dic3—21no—
1101C2×Dic3—21no—
1102C2×Dic3—44no—
1103C2×Dic3—44no—
1104C2×Dic3H(5,𝔽2)12yes—
1105D12—44no—
1106D12—44no—
1107D12—44no—
1108D12—44no—
1109D12—82no—
1110D12—82no—
1111D12—82no—
1112D12—82no—
1113D12—82no—
1114D12—82no—
1115D12—82no—
1116D12—82no—
1117D12—82no—
1118C4×D3—28no—
1119C4×D3—44no—
1120C4×D3—44no—
1121C4×D3—44no—
1122C4×D3—82no—
1123C4×D3—82no—
1124C4×D3—82no—
1125C4×D3—82no—
1126C24—31no—
1127C24—31no—
1128C24—31no—
1129C24—31no—
1130C24—31no—
1131C24—31no—
1132C24—62no—
1133C24—62no—
1134C24—62no—
1135C24—62no—
1136C24—62no—
1137C24—62no—
1138C24—62no—
1139C24—62no—
1140C24—62no—
1141C24—121no—
1142C24—121no—
1143C24—121no—
1144C24—121no—
1145C24—121no—
1146C24C23×D311yescharacteristic
1147C2×D4—34no—
1148C2×D4—62no—
1149C2×D4—62no—
1150C2×D4—62no—
1151C2×D4—62no—
1152C2×D4—62no—
1153C2×D4—62no—
1154C2×D4—62no—
1155C2×D4—62no—
1156C2×D4—62no—
1157C2×D4—62no—
1158C2×D4—62no—
1159C2×D4—62no—
1160C2×D4—62no—
1161C2×D4—62no—
1162C2×D4—62no—
1163C2×D4—62no—
1164C2×D4—62no—
1165C2×D4—62no—
1166C2×D4—121no—
1167C2×D4—121no—
1168C2×D4—121no—
1169C2×D4—121no—
1170C2×D4—121no—
1171C2×D4—121no—
1172C2×D4—121no—
1173C2×D4—121no—
1174C2×D4—121no—
1175C2×D4—121no—
1176C2×D4—121no—
1177C2×D4—121no—
1178C2×D4—121no—
1179C2×D4—121no—
1180C2×D4—121no—
1181C2×D4—121no—
1182C2×D4—121no—
1183C2×D4—121no—
1184C2×D4—121no—
1185C2×D4—121no—
1186C2×D4—121no—
1187C2×D4—121no—
1188C2×D4—121no—
1189C2×D4—121no—
1190C2×D4—121no—
1191C2×D4—121no—
1192C2×D4—1216no—
1193C22×C4—22no—
1194C22×C4—22no—
1195C22×C4—22no—
1196C22×C4—31no—
1197C22×C4—31no—
1198C22×C4—31no—
1199C22×C4—31no—
1200C22×C4—31no—
1201C22×C4—31no—
1202C22×C4—31no—
1203C22×C4—31no—
1204C22×C4—31no—
1205C22×C4—31no—
1206C22×C4—41no—
1207C22×C4—41no—
1208C22×C4—41no—
1209C22×C4—41no—
1210C22×C4—41no—
1211C22×C4—62no—
1212C22×C4—62no—
1213C22×C4—62no—
1214C22×C4—62no—
1215C22×C4—62no—
1216C22×C4—62no—
1217C22×C4—62no—
1218C22×C4—62no—
1219C22×C4—62no—
1220C22×C4—62no—
1221C22×C4—62no—
1222C22×C4—62no—
1223C22×C4—62no—
1224C22×C4—62no—
1225C22×C4—62no—
1226C22×C4—121no—
1227C22×C4—121no—
1228C22×C4—121no—
1229C22×C4—121no—
1230C22×C4—121no—
1231C22×C4—121no—
1232C22×C4—121no—
1233C22×C4—121no—
1234C22×C4—121no—
1235C22×C4—121no—
1236C22×C4—121no—
1237C22×C4—121no—
1238C22×C4—121no—
1239C22×C4—121no—
1240C22×C4—1216no—
1241C22×C4—121no—
1242C22×C4#23914yes—
1243C22×C4C23×D311yescharacteristic
1244C22×C4C23×D311yescharacteristic
1245C22×C4C23×D311yescharacteristic
1246C22×C4C23×D311yescharacteristic
1247C22×C4C23×D311yescharacteristic
1248C22×C4C23×D311yescharacteristic
1249C22×C4C23×D311yescharacteristic
1250C22×C4C23×D311yescharacteristic
1251C22×C4C23×D311yescharacteristic
1252C22×C4C23×D311yescharacteristic
1253C22×C4C23×D311yescharacteristic
1254C22×C4C23×D311yescharacteristic
1255C22×C4C23×D311yescharacteristic
1256C22×C4C23×D311yescharacteristic
1257C4⋊C4—22no—
1258C4⋊C4—22no—
1259C4⋊C4—41no—
1260C4⋊C4—41no—
1261C4⋊C4—41no—
1262C4⋊C4—41no—
1263C4⋊C4—41no—
1264C4⋊C4—41no—
1265C4⋊C4—41no—
1266C4⋊C4—41no—
1267C4⋊C4—62no—
1268C4⋊C4—62no—
1269C4⋊C4—62no—
1270C4⋊C4—121no—
1271C4⋊C4—121no—
1272C4⋊C4—121no—
1273C4⋊C4—121no—
1274C4⋊C4—121no—
1275C4⋊C4—121no—
1276C4⋊C4—121no—
1277C4⋊C4—121no—
1278C4⋊C4—121no—
1279C4⋊C4—121no—
1280C22⋊C4—22no—
1281C22⋊C4—22no—
1282C22⋊C4—22no—
1283C22⋊C4—22no—
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—62no—
1299C22⋊C4—62no—
1300C22⋊C4—62no—
1301C22⋊C4—62no—
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—
1314C22⋊C4—121no—
1315C22⋊C4—121no—
1316C22⋊C4—121no—
1317C22⋊C4—121no—
1318C22⋊C4—121no—
1319C22⋊C4—121no—
1320C22⋊C4—121no—
1321C22⋊C4—121no—
1322C22⋊C4—121no—
1323C22⋊C4—121no—
1324C22⋊C4—121no—
1325C22⋊C4—121no—
1326C22⋊C4—121no—
1327C22⋊C4—121no—
1328C22⋊C4—121no—
1329C22⋊C4—121no—
1330C22⋊C4—121no—
1331C22⋊C4—121no—
1332C22⋊C4—121no—
1333C22⋊C4—121no—
1334C22⋊C4—121no—
1335C22⋊C4—121no—
1336C42—41no—
1337C42—41no—
1338C42—121no—
1339C42—121no—
1340C42—121no—
1341C42—121no—
1342C42—121no—
1343C42—121no—
1344C22×C3—22no—
1345C22×C3—22no—
1346C22×C3—22no—
1347C22×C3—22no—
1348C22×C3—22no—
1349C22×C3—22no—
1350C22×C3#54014yes—
1351C22×C3C22×#4111yescharacteristic
1352C22×C3C22×#4111yescharacteristic
1353C22×C3C2×H(5,𝔽2)11yescharacteristic
1354C22×C3C2×H(5,𝔽2)11yescharacteristic
1355C22×C3C2×H(5,𝔽2)11yescharacteristic
1356C22×C3C2×H(5,𝔽2)11yescharacteristic
1357C22×C3#58511yescharacteristic
1358C2×D3—22no—
1359C2×D3—22no—
1360C2×D3—22no—
1361C2×D3—22no—
1362C2×D3—22no—
1363C2×D3—22no—
1364C2×D3—22no—
1365C2×D3—22no—
1366C2×D3—22no—
1367C2×D3—416no—
1368C2×D3—41no—
1369C2×D3—41no—
1370C2×D3—41no—
1371C2×D3—41no—
1372C2×D3—41no—
1373C2×D3—41no—
1374C2×D3—41no—
1375C2×D3—41no—
1376C2×D3—41no—
1377C2×D3—41no—
1378C2×D3—41no—
1379C2×D3—41no—
1380C2×D3—41no—
1381C2×D3—41no—
1382C2×D3—41no—
1383C2×D3—41no—
1384C2×D3—41no—
1385C2×D3—41no—
1386C2×D3—41no—
1387C2×D3—41no—
1388C2×D3—41no—
1389C2×D3—41no—
1390C2×D3—41no—
1391C2×D3—41no—
1392C2×D3—41no—
1393C2×D3—41no—
1394C2×D3—41no—
1395C2×D3—41no—
1396C2×D3—41no—
1397C2×D3—41no—
1398C2×D3—41no—
1399C2×D3—41no—
1400C2×D3—41no—
1401C2×D3—88no—
1402C3×C4—22no—
1403C3×C4—22no—
1404C3×C4—22no—
1405C3×C4—41no—
1406C3×C4—41no—
1407C3×C4—41no—
1408C3×C4—41no—
1409C3×C4—41no—
1410C3×C4—41no—
1411C3×C4—41no—
1412C3×C4—41no—
1413C3×C4—41no—
1414C3×C4—41no—
1415C3×C4—41no—
1416Dic3—22no—
1417Dic3—41no—
1418Dic3—41no—
1419Dic3—41no—
1420Dic3—41no—
1421Dic3—41no—
1422Dic3—41no—
1423Dic3—41no—
1424Dic3—41no—
1425Dic3—41no—
1426C23—21no—
1427C23—21no—
1428C23—21no—
1429C23—21no—
1430C23—32no—
1431C23—32no—
1432C23—32no—
1433C23—68no—
1434C23—61no—
1435C23—61no—
1436C23—61no—
1437C23—61no—
1438C23—61no—
1439C23—61no—
1440C23—61no—
1441C23—61no—
1442C23—61no—
1443C23—61no—
1444C23—61no—
1445C23—61no—
1446C23—61no—
1447C23—61no—
1448C23—61no—
1449C23—61no—
1450C23—61no—
1451C23—61no—
1452C23—61no—
1453C23—61no—
1454C23—61no—
1455C23—61no—
1456C23—61no—
1457C23—61no—
1458C23—61no—
1459C23—61no—
1460C23—61no—
1461C23—61no—
1462C23—61no—
1463C23—61no—
1464C23—61no—
1465C23—61no—
1466C23—61no—
1467C23—61no—
1468C23—61no—
1469C23—61no—
1470C23—61no—
1471C23—61no—
1472C23—61no—
1473C23—124no—
1474C23—124no—
1475C23—124no—
1476C23—124no—
1477C23—124no—
1478C23—124no—
1479C23—124no—
1480C23—124no—
1481C23—124no—
1482C23—124no—
1483C23—242no—
1484C23—242no—
1485C23—242no—
1486C23C2×#23912yes—
1487C23#100912yes—
1488C23#100912yes—
1489C23C24×D311yescharacteristic
1490D4—124no—
1491D4—124no—
1492D4—124no—
1493D4—124no—
1494D4—124no—
1495D4—124no—
1496D4—242no—
1497D4—242no—
1498D4—242no—
1499D4—242no—
1500D4—242no—
1501D4—242no—
1502D4—242no—
1503D4—242no—
1504D4—242no—
1505C2×C4—21no—
1506C2×C4—21no—
1507C2×C4—21no—
1508C2×C4—21no—
1509C2×C4—21no—
1510C2×C4—21no—
1511C2×C4—21no—
1512C2×C4—21no—
1513C2×C4—21no—
1514C2×C4—21no—
1515C2×C4—21no—
1516C2×C4—21no—
1517C2×C4—21no—
1518C2×C4—21no—
1519C2×C4—21no—
1520C2×C4—21no—
1521C2×C4—21no—
1522C2×C4—21no—
1523C2×C4—21no—
1524C2×C4—21no—
1525C2×C4—21no—
1526C2×C4—21no—
1527C2×C4—21no—
1528C2×C4—21no—
1529C2×C4—21no—
1530C2×C4—21no—
1531C2×C4—21no—
1532C2×C4—21no—
1533C2×C4—21no—
1534C2×C4—21no—
1535C2×C4—21no—
1536C2×C4—21no—
1537C2×C4—21no—
1538C2×C4—21no—
1539C2×C4—21no—
1540C2×C4—21no—
1541C2×C4—21no—
1542C2×C4—21no—
1543C2×C4—21no—
1544C2×C4—32no—
1545C2×C4—44no—
1546C2×C4—44no—
1547C2×C4—68no—
1548C2×C4—61no—
1549C2×C4—61no—
1550C2×C4—61no—
1551C2×C4—61no—
1552C2×C4—61no—
1553C2×C4—61no—
1554C2×C4—61no—
1555C2×C4—61no—
1556C2×C4—61no—
1557C2×C4—61no—
1558C2×C4—61no—
1559C2×C4—61no—
1560C2×C4—61no—
1561C2×C4—61no—
1562C2×C4—61no—
1563C2×C4—61no—
1564C2×C4—61no—
1565C2×C4—61no—
1566C2×C4—61no—
1567C2×C4—61no—
1568C2×C4—61no—
1569C2×C4—61no—
1570C2×C4—61no—
1571C2×C4—61no—
1572C2×C4—61no—
1573C2×C4—61no—
1574C2×C4—61no—
1575C2×C4—61no—
1576C2×C4—61no—
1577C2×C4—82no—
1578C2×C4—124no—
1579C2×C4—124no—
1580C2×C4—124no—
1581C2×C4—124no—
1582C2×C4—124no—
1583C2×C4—242no—
1584C2×C4—242no—
1585C2×C4—242no—
1586C2×C4—242no—
1587C2×C4C2×#23912yes—
1588C2×C4C2×#23912yes—
1589C2×C4D3×#4112yes—
1590C2×C3—24no—
1591C2×C3C2×#54011yescharacteristic
1592C2×C3#347511yescharacteristic
1593C2×C3#349011yescharacteristic
1594C2×C3#349011yescharacteristic
1595C2×C3#351911yescharacteristic
1596C2×C3#353411yescharacteristic
1597C2×C3#354211yescharacteristic
1598D3—42no—
1599D3—42no—
1600D3—42no—
1601D3—81no—
1602D3—81no—
1603D3—81no—
1604C22—22no—
1605C22—22no—
1606C22—22no—
1607C22—22no—
1608C22—22no—
1609C22—22no—
1610C22—62no—
1611C22—62no—
1612C22—62no—
1613C22—62no—
1614C22—62no—
1615C22—62no—
1616C22—62no—
1617C22—62no—
1618C22—62no—
1619C22—1216no—
1620C22—121no—
1621C22—121no—
1622C22—121no—
1623C22—121no—
1624C22—121no—
1625C22—121no—
1626C22—121no—
1627C22—121no—
1628C22—121no—
1629C22—121no—
1630C22—121no—
1631C22—121no—
1632C22—121no—
1633C22—121no—
1634C22—121no—
1635C22—121no—
1636C22—121no—
1637C22—121no—
1638C22—121no—
1639C22—121no—
1640C22—121no—
1641C22—121no—
1642C22—121no—
1643C22—121no—
1644C22—121no—
1645C22—121no—
1646C22—121no—
1647C22—121no—
1648C22—121no—
1649C22—121no—
1650C22—121no—
1651C22—121no—
1652C22—121no—
1653C22—248no—
1654C22#569714yes—
1655C22C22×#23911yescharacteristic
1656C22C2×D3×#4111yescharacteristic
1657C22C2×#100911yescharacteristic
1658C22C2×#100911yescharacteristic
1659C22#596411yescharacteristic
1660C22D3×H(5,𝔽2)11yescharacteristic
1661C22D3×H(5,𝔽2)11yescharacteristic
1662C4—22no—
1663C4—22no—
1664C4—22no—
1665C4—41no—
1666C4—41no—
1667C4—41no—
1668C4—41no—
1669C4—41no—
1670C4—41no—
1671C4—41no—
1672C4—41no—
1673C4—41no—
1674C4—41no—
1675C4—41no—
1676C4—62no—
1677C4—121no—
1678C4—121no—
1679C4—121no—
1680C4—121no—
1681C4—121no—
1682C4—121no—
1683C4—121no—
1684C4—121no—
1685C4—121no—
1686C3#3838811yescharacteristic, complemented, Sylow
1687C2—24no—
1688C2—122no—
1689C2—122no—
1690C2—122no—
1691C2—241no—
1692C2—241no—
1693C2—241no—
1694C2C2×#569711yescharacteristic
1695C2#8627611yescharacteristic
1696C2#8657911yescharacteristic
1697C2#8680511yescharacteristic
1698C2#8681511yescharacteristic
1699C2#8688811yescharacteristic
1700C2#8691511yescharacteristic
subgroupG/H
center, FrattiniC23C24×D3
commutator, socle, cosocleC23×C3C25
FittingC3×#2569C2
hypercenter#2569D3
hypocenterC3#38388
LCSG ▷ C23×C3 ▷ C3
UCSC1 ◁ C23 ◁ #2569

Complements

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

NH ≅ G/Ntype
1. C3×#2569C2semidirect
2. #78383C2semidirect
3. #78365C2semidirect
4. #78250C2semidirect
5. #78241C2semidirect
6. #77996C2semidirect
7. #77990C2semidirect
8. #77978C2semidirect
9. #77967C2semidirect
10. #75380C2semidirect
11. #75380C2semidirect
12. #75014C2semidirect
13. #75014C2semidirect
14. #75007C2semidirect
15. #75007C2semidirect
16. #74952C2semidirect
17. #74952C2semidirect
18. #74603C2semidirect
19. #74602C2semidirect
20. #74601C2semidirect
21. #74408C2semidirect
22. #74048C2semidirect
23. #74029C2semidirect
24. #74018C2semidirect
25. #74016C2semidirect
26. #74009C2semidirect
27. #73926C2semidirect
28. #73597C2semidirect
29. #73561C2semidirect
30. C2×#4665C2semidirect
31. #73338C2semidirect
45. C2×#895C22semidirect
46. C2×#895C22semidirect
47. C2×#894C22semidirect
48. C2×#894C22semidirect
57. C2×#872C22semidirect
58. C2×#872C22semidirect
59. C3×#400C22semidirect
60. C3×#400C22semidirect
61. C3×#398C22semidirect
62. C3×#398C22semidirect
63. C3×#387C22semidirect
64. C3×#387C22semidirect
65. C3×#387C22semidirect
66. C3×#387C22semidirect
78. #4994C22semidirect
79. #4994C22semidirect
80. #4994C22semidirect
81. #4994C22semidirect
82. #4993C22semidirect
83. #4993C22semidirect
84. #4992C22semidirect
85. #4992C22semidirect
88. #4991C22semidirect
89. #4991C22semidirect
90. #4991C22semidirect
91. #4991C22semidirect
92. #4990C22semidirect
93. #4990C22semidirect
94. #4990C22semidirect
95. #4990C22semidirect
96. #4989C22semidirect
97. #4989C22semidirect
98. #4989C22semidirect
99. #4989C22semidirect
102. #4988C22semidirect
103. #4988C22semidirect
104. #4987C22semidirect
105. #4987C22semidirect
106. #4982C22semidirect
107. #4982C22semidirect
108. #4980C22semidirect
109. #4980C22semidirect
118. #4939C22semidirect
119. #4939C22semidirect
120. #4939C22semidirect
121. #4939C22semidirect
122. C4×(C2×D3)⋊C4C22semidirect
123. C4×(C2×D3)⋊C4C22semidirect
124. #4677C22semidirect
125. #4677C22semidirect
126. #4675C22semidirect
127. #4675C22semidirect
128. #4675C22semidirect
129. #4675C22semidirect
132. #4672C22semidirect
133. #4672C22semidirect
134. #4672C22semidirect
135. #4672C22semidirect
140. #4671C22semidirect
141. #4671C22semidirect
142. #4670C22semidirect
143. #4670C22semidirect
144. #4670C22semidirect
145. #4670C22semidirect
146. #4669C22semidirect
147. #4669C22semidirect
148. #4669C22semidirect
149. #4669C22semidirect
150. #4669C22semidirect
151. #4669C22semidirect
152. #4667C22semidirect
153. #4667C22semidirect
154. #4666C22semidirect
155. #4666C22semidirect
156. #4666C22semidirect
157. #4666C22semidirect
168. #4665C22semidirect
169. #4665C22semidirect
170. #4665C22semidirect
171. #4665C22semidirect
172. #4665C22semidirect
173. #4665C22semidirect
174. #4665C22semidirect
175. #4665C22semidirect
176. #4665C22semidirect
177. #4665C22semidirect
178. #4664C22semidirect
179. #4664C22semidirect
180. #4664C22semidirect
181. #4664C22semidirect
182. #4660C22semidirect
183. #4660C22semidirect
184. #4655C22semidirect
185. #4655C22semidirect
186. #4654C22semidirect
187. #4654C22semidirect
199. #2569D3semidirect
432. #400C2×D3semidirect
433. #400C2×D3semidirect
440. #398C2×D3semidirect
441. #398C2×D3semidirect
498. #387C2×D3semidirect
499. #387C2×D3semidirect
500. #387C2×D3semidirect
501. #387C2×D3semidirect
1686. C3#38388semidirect

Maximal subgroups

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

subgroupindex
C3×#25692
#783832
#783652
#782502
#782412
#779962
#779902
#779782
#779672
#753802
#750142
#750072
#749522
#746032
#746022
#746012
#744082
#740482
#740292
#740182
#740162
#740092
#739262
#735972
#735612
C2×#46652
#733382
#383883