Finite Group Databasebeta

← #11043356

Subgroups — #11043356

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×#2419C211yesmaximal, characteristic, complemented
2#82901C211yesmaximal, characteristic, complemented
3#82894C211yesmaximal, characteristic, complemented
4#82403C211yesmaximal, characteristic, complemented
5#82342C211yesmaximal, characteristic, complemented
6#78381C211yesmaximal, characteristic, complemented
7#78217C211yesmaximal, characteristic, complemented
8#77991C211yesmaximal, characteristic, complemented
9#77760C211yesmaximal, characteristic, complemented
10#77699C211yesmaximal, characteristic, complemented
11#77694C211yesmaximal, characteristic, complemented
12#77549C211yesmaximal, characteristic, complemented
13#77473C211yesmaximal, characteristic, complemented
14#75422C211yesmaximal, characteristic, complemented
15#75408C211yesmaximal, characteristic, complemented
16#75332C211yesmaximal, characteristic, complemented
17#74952C211yesmaximal, characteristic, complemented
18#74935C211yesmaximal, characteristic, complemented
19#74890C211yesmaximal, characteristic, complemented
20#74628C211yesmaximal, characteristic, complemented
21#74601C211yesmaximal, characteristic, complemented
22#74478C211yesmaximal, characteristic, complemented
23#74447C211yesmaximal, characteristic, complemented
24#74131C211yesmaximal, characteristic, complemented
25#74122C211yesmaximal, characteristic, complemented
26#74097C211yesmaximal, characteristic, complemented
27#74058C211yesmaximal, characteristic, complemented
28#74021C211yesmaximal, characteristic, complemented
29#73862C211yesmaximal, characteristic, complemented
30C2×#4665C211yesmaximal, characteristic, complemented
31#73354C211yesmaximal, characteristic, complemented
32#38388—31nomaximal, Sylow
33C23×D12C2211yescharacteristic
34C23×C4×D3C2211yescharacteristic
35C2×C3×#123C2211yescharacteristic
36C2×C3×C4×D4C2211yescharacteristic
37C2×#939C2211yescharacteristic
38C2×#937C2211yescharacteristic
39C2×#937C2211yescharacteristic
40C2×#930C2211yescharacteristic
41C2×#930C2211yescharacteristic
42C2×#929C2211yescharacteristic
43C22×(C2×D3)⋊C4C2211yescharacteristic
44C22×(C2×D3)⋊C4C2211yescharacteristic
45C22×(C2×D3)⋊C4C2211yescharacteristic
46C2×#926C2211yescharacteristic
47C2×#895C2211yescharacteristic
48C2×#895C2211yescharacteristic
49C2×#894C2211yescharacteristic, complemented
50C2×#892C2211yescharacteristic, complemented
51C2×#892C2211yescharacteristic, complemented
52C2×#884C2211yescharacteristic, complemented
53C2×#884C2211yescharacteristic, complemented
54C2×#883C2211yescharacteristic, complemented
55C2×#882C2211yescharacteristic
56C2×#882C2211yescharacteristic
57C2×#67⋊C4C2211yescharacteristic
58C2×D3×C22⋊C4C2211yescharacteristic
59C3×#400C2211yescharacteristic, complemented
60C3×#398C2211yescharacteristic, complemented
61C3×#397C2211yescharacteristic, complemented
62C3×#397C2211yescharacteristic, complemented
63C3×#387C2211yescharacteristic, complemented
64C3×#387C2211yescharacteristic, complemented
65C3×#386C2211yescharacteristic
66C3×#385C2211yescharacteristic
67C3×#385C2211yescharacteristic, complemented
68C3×#381C2211yescharacteristic
69C3×#381C2211yescharacteristic, complemented
70C3×#380C2211yescharacteristic
71C2×C3×#95C2211yescharacteristic
72#5220C2211yescharacteristic
73#5213C2211yescharacteristic
74#5213C2211yescharacteristic
75#5213C2211yescharacteristic, complemented
76#5212C2211yescharacteristic
77#5212C2211yescharacteristic
78C4×#217C2211yescharacteristic, complemented
79C2×C3⋊#95C2211yescharacteristic
80#4994C2211yescharacteristic, complemented
81#4994C2211yescharacteristic, complemented
82#4993C2211yescharacteristic, complemented
83#4993C2211yescharacteristic, complemented
84#4993C2211yescharacteristic, complemented
85#4991C2211yescharacteristic
86#4991C2211yescharacteristic
87#4991C2211yescharacteristic
88#4991C2211yescharacteristic
89#4991C2211yescharacteristic, complemented
90#4990C2211yescharacteristic, complemented
91#4990C2211yescharacteristic, complemented
92#4990C2211yescharacteristic, complemented
93#4990C2211yescharacteristic, complemented
94#4988C2211yescharacteristic, complemented
95#4988C2211yescharacteristic, complemented
96#4987C2211yescharacteristic, complemented
97#4987C2211yescharacteristic, complemented
98#4985C2211yescharacteristic, complemented
99#4981C2211yescharacteristic, complemented
100#4980C2211yescharacteristic, complemented
101#4978C2211yescharacteristic, complemented
102#4978C2211yescharacteristic, complemented
103#4961C2211yescharacteristic, complemented
104#4961C2211yescharacteristic, complemented
105#4961C2211yescharacteristic, complemented
106#4960C2211yescharacteristic
107#4960C2211yescharacteristic
108#4960C2211yescharacteristic, complemented
109#4960C2211yescharacteristic, complemented
110#4959C2211yescharacteristic, complemented
111#4957C2211yescharacteristic, complemented
112#4957C2211yescharacteristic, complemented
113#4957C2211yescharacteristic, complemented
114#4957C2211yescharacteristic, complemented
115#4956C2211yescharacteristic, complemented
116#4956C2211yescharacteristic, complemented
117#4956C2211yescharacteristic, complemented
118#4956C2211yescharacteristic, complemented
119#4955C2211yescharacteristic
120#4955C2211yescharacteristic
121#4955C2211yescharacteristic
122#4946C2211yescharacteristic
123#4945C2211yescharacteristic, complemented
124#4942C2211yescharacteristic
125#4942C2211yescharacteristic
126Dic3×C22⋊C4C2211yescharacteristic
127Dic3×C22⋊C4C2211yescharacteristic
128#4939C2211yescharacteristic
129#4939C2211yescharacteristic
130C4×(C2×D3)⋊C4C2211yescharacteristic, complemented
131#4933C2211yescharacteristic, complemented
132#4677C2211yescharacteristic, complemented
133#4676C2211yescharacteristic, complemented
134#4676C2211yescharacteristic, complemented
135#4675C2211yescharacteristic, complemented
136#4675C2211yescharacteristic, complemented
137#4674C2211yescharacteristic, complemented
138#4674C2211yescharacteristic, complemented
139#4672C2211yescharacteristic, complemented
140#4672C2211yescharacteristic, complemented
141#4672C2211yescharacteristic, complemented
142#4671C2211yescharacteristic
143#4671C2211yescharacteristic
144#4670C2211yescharacteristic, complemented
145#4670C2211yescharacteristic, complemented
146#4670C2211yescharacteristic, complemented
147#4670C2211yescharacteristic, complemented
148#4669C2211yescharacteristic, complemented
149#4669C2211yescharacteristic, complemented
150#4669C2211yescharacteristic, complemented
151#4669C2211yescharacteristic, complemented
152#4669C2211yescharacteristic, complemented
153#4668C2211yescharacteristic, complemented
154#4668C2211yescharacteristic, complemented
155#4668C2211yescharacteristic, complemented
156#4667C2211yescharacteristic, complemented
157#4667C2211yescharacteristic, complemented
158#4666C2211yescharacteristic, complemented
159#4666C2211yescharacteristic, complemented
160#4666C2211yescharacteristic, complemented
161#4666C2211yescharacteristic, complemented
162#4665C2211yescharacteristic
163#4665C2211yescharacteristic
164#4665C2211yescharacteristic
165#4665C2211yescharacteristic
166#4665C2211yescharacteristic
167#4665C2211yescharacteristic
168#4665C2211yescharacteristic
169#4665C2211yescharacteristic
170#4665C2211yescharacteristic
171#4665C2211yescharacteristic
172#4665C2211yescharacteristic, complemented
173#4665C2211yescharacteristic, complemented
174#4665C2211yescharacteristic, complemented
175#4665C2211yescharacteristic, complemented
176#4665C2211yescharacteristic, complemented
177#4664C2211yescharacteristic, complemented
178#4664C2211yescharacteristic, complemented
179#4664C2211yescharacteristic, complemented
180#4661C2211yescharacteristic, complemented
181#4659C2211yescharacteristic, complemented
182#4658C2211yescharacteristic, complemented
183#4657C2211yescharacteristic, complemented
184#4653C2211yescharacteristic, complemented
185#4653C2211yescharacteristic, complemented
186#4653C2211yescharacteristic, complemented
187#4652C2211yescharacteristic, 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#2569—31no—
200#2539—31no—
201#2534—31no—
202#2498—31no—
203#2476—31no—
204#2476—31no—
205#2471—31no—
206#2471—31no—
207#2419D311yescharacteristic, complemented
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
221C22×C3×D4C2311yescharacteristic
222C23×C3×C4C2311yescharacteristic
223C23×C3×C4C2311yescharacteristic
224C23×C3×C4C2311yescharacteristic
225C23×C3×C4C2311yescharacteristic
226C22×#67C2311yescharacteristic
227C22×#67C2311yescharacteristic
228C22×#67C2311yescharacteristic
229C22×#67C2311yescharacteristic
230C22×#67C2311yescharacteristic
231C22×#67C2311yescharacteristic
232C23×Dic3C2311yescharacteristic
233C23×Dic3C2311yescharacteristic
234C22×D12—24no—
235C22×D12—42no—
236C22×D12—42no—
237C22×D12C2311yescharacteristic
238C22×D12C2311yescharacteristic
239C22×D12C2311yescharacteristic
240C22×D12C2311yescharacteristic
241C22×D12C2311yescharacteristic
242C22×D12C2311yescharacteristic
243C22×D12C2311yescharacteristic
244C22×D12C2311yescharacteristic
245C22×C4×D3—24no—
246C22×C4×D3—42no—
247C22×C4×D3—42no—
248C22×C4×D3C2311yescharacteristic
249C22×C4×D3C2311yescharacteristic
250C22×C4×D3C2311yescharacteristic
251C22×C4×D3C2311yescharacteristic
252C22×C4×D3C2311yescharacteristic
253C22×C4×D3C2311yescharacteristic
254C22×C4×D3C2311yescharacteristic
255C3×#123—42no—
256C3×C4×D4—42no—
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×C22⋊C4C2311yescharacteristic
265C2×C3×C22⋊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×#217C2311yescharacteristic
274C2×#217C2311yescharacteristic
275C2×#217C2311yescharacteristic
276C2×#217C2311yescharacteristic
277C2×#217C2311yescharacteristic
278C2×#217C2311yescharacteristic
279#939—24no—
280#937—42no—
281#937—42no—
282#930—24no—
283#930—42no—
284#929—42no—
285C2×(C2×D3)⋊C4—24no—
286C2×(C2×D3)⋊C4—42no—
287C2×(C2×D3)⋊C4—42no—
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×(C2×D3)⋊C4C2311yescharacteristic
330#926—42no—
331C2×C4⋊Dic3C2311yescharacteristic
332C2×C4⋊Dic3C2311yescharacteristic
333C2×C4⋊Dic3C2311yescharacteristic
334C2×C4⋊Dic3C2311yescharacteristic
335C2×C4⋊Dic3C2311yescharacteristic
336C2×C4⋊Dic3C2311yescharacteristic
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×C4×Dic3C2311yescharacteristic
348C2×C4×Dic3C2311yescharacteristic
349C2×C4×Dic3C2311yescharacteristic
350C2×C4×Dic3C2311yescharacteristic
351C2×C4×Dic3C2311yescharacteristic
352C2×C4×Dic3C2311yescharacteristic
353C2×C4×Dic3C2311yescharacteristic
354#895—24no—
355#895—42no—
356#894—42no—
357#892—42no—
358#892—42no—
359#884—42no—
360#884—42no—
361#883—42no—
362#882—42no—
363#882—42no—
364#67⋊C4—42no—
365D3×C22⋊C4—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×#123C2×D311yescharacteristic
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×D4C2×D311yescharacteristic
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#400—31no—
433#400C2×D311yescharacteristic, complemented
434#399—31no—
435#399—31no—
436#399—31no—
437#399—31no—
438#398—31no—
439#398—31no—
440#398—31no—
441#398C2×D311yescharacteristic, complemented
442#397—31no—
443#397—31no—
444#397—31no—
445#397—31no—
446#397C2×D311yescharacteristic, complemented
447#397C2×D311yescharacteristic, complemented
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#387—31no—
499#387—31no—
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#386C2×D311yescharacteristic
526#385—31no—
527#385—31no—
528#385—31no—
529#385—31no—
530#385C2×D311yescharacteristic
531#385C2×D311yescharacteristic, complemented
532#381—31no—
533#381—31no—
534#381—31no—
535#381C2×D311yescharacteristic
536#381C2×D311yescharacteristic, complemented
537#380—31no—
538#380—31no—
539#380—31no—
540#380—31no—
541#380—31no—
542#380—31no—
543#380—31no—
544#380—31no—
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⋊C4—31no—
557C2×#95—31no—
558C2×#95C2×D311yescharacteristic
559C24×C3C2411yescharacteristic
560C24×C3C2411yescharacteristic
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—22no—
570C23×D3—41no—
571C23×D3—41no—
572C23×D3—41no—
573C23×D3—41no—
574C23×D3—41no—
575C23×D3C2411yescharacteristic
576C23×D3C2411yescharacteristic
577C23×D3C2411yescharacteristic
578C23×D3C2411yescharacteristic
579C23×D3C2411yescharacteristic
580C2×C3×D4—22no—
581C2×C3×D4—22no—
582C2×C3×D4—22no—
583C22×C3×C4—22no—
584C22×C3×C4—22no—
585C22×C3×C4—22no—
586C22×C3×C4—22no—
587C22×C3×C4—22no—
588C22×C3×C4—22no—
589C22×C3×C4—22no—
590C22×C3×C4—22no—
591C22×C3×C4—41no—
592C22×C3×C4—41no—
593C22×C3×C4—41no—
594C22×C3×C4—41no—
595C22×C3×C4C2411yescharacteristic
596C22×C3×C4C2411yescharacteristic
597C22×C3×C4C2411yescharacteristic
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
608C2×#67—22no—
609C2×#67—22no—
610C2×#67—22no—
611C2×#67—22no—
612C2×#67—22no—
613C2×#67—22no—
614C2×#67—22no—
615C2×#67—41no—
616C2×#67—41no—
617C2×#67—41no—
618C2×#67—41no—
619C2×#67—41no—
620C2×#67—41no—
621C2×#67—41no—
622C2×#67—41no—
623C2×#67—41no—
624C2×#67—41no—
625C2×#67—41no—
626C22×Dic3—22no—
627C22×Dic3—41no—
628C22×Dic3—41no—
629C22×Dic3—41no—
630C22×Dic3—41no—
631C22×Dic3#4114yes—
632C22×Dic3C2411yescharacteristic
633C22×Dic3C2411yescharacteristic
634C22×Dic3C2411yescharacteristic
635C22×Dic3C2411yescharacteristic
636C22×Dic3C2411yescharacteristic
637C22×Dic3C2411yescharacteristic
638C22×Dic3C2411yescharacteristic
639C22×Dic3C2411yescharacteristic
640C22×Dic3C2411yescharacteristic
641C22×Dic3C2411yescharacteristic
642C22×Dic3C2411yescharacteristic
643C2×D12—22no—
644C2×D12—22no—
645C2×D12—22no—
646C2×D12—22no—
647C2×D12—22no—
648C2×D12—22no—
649C2×D12—22no—
650C2×D12—22no—
651C2×D12—41no—
652C2×D12—41no—
653C2×D12—41no—
654C2×D12—41no—
655C2×D12—41no—
656C2×D12—41no—
657C2×D12—416no—
658C2×D12—41no—
659C2×D12—41no—
660C2×D12—41no—
661C2×D12—41no—
662C2×D12—41no—
663C2×D12—41no—
664C2×D12—41no—
665C2×D12—41no—
666C2×D12—41no—
667C2×D12#4114yes—
668C2×C4×D3—22no—
669C2×C4×D3—22no—
670C2×C4×D3—22no—
671C2×C4×D3—22no—
672C2×C4×D3—22no—
673C2×C4×D3—22no—
674C2×C4×D3—22no—
675C2×C4×D3—22no—
676C2×C4×D3—22no—
677C2×C4×D3—416no—
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×C22⋊C4—22no—
698C3×C22⋊C4—22no—
699C3×C22⋊C4—22no—
700C3×C22⋊C4—22no—
701C3×C22⋊C4—41no—
702C3×C22⋊C4—41no—
703C3×C22⋊C4—41no—
704C3×C22⋊C4—41no—
705C3×C42—41no—
706#217—22no—
707#217—22no—
708#217—22no—
709#217—22no—
710#217—41no—
711#217—41no—
712(C2×D3)⋊C4—22no—
713(C2×D3)⋊C4—22no—
714(C2×D3)⋊C4—22no—
715(C2×D3)⋊C4—22no—
716(C2×D3)⋊C4—22no—
717(C2×D3)⋊C4—22no—
718(C2×D3)⋊C4—22no—
719(C2×D3)⋊C4—22no—
720(C2×D3)⋊C4—22no—
721(C2×D3)⋊C4—22no—
722(C2×D3)⋊C4—22no—
723(C2×D3)⋊C4—22no—
724(C2×D3)⋊C4—22no—
725(C2×D3)⋊C4—22no—
726(C2×D3)⋊C4—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—
754C4⋊Dic3—22no—
755C4⋊Dic3—22no—
756C4⋊Dic3—41no—
757C4⋊Dic3—41no—
758C4⋊Dic3—41no—
759C4⋊Dic3—41no—
760Dic3⋊C4—22no—
761Dic3⋊C4—41no—
762Dic3⋊C4—41no—
763Dic3⋊C4—41no—
764Dic3⋊C4—41no—
765Dic3⋊C4—41no—
766Dic3⋊C4—41no—
767Dic3⋊C4—41no—
768Dic3⋊C4—41no—
769Dic3⋊C4—41no—
770C4×Dic3—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—64no—
794C22×D4—122no—
795C22×D4—122no—
796C22×D4C22×D311yescharacteristic
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—64no—
807C23×C4—122no—
808C23×C4—122no—
809C23×C4C22×D311yescharacteristic
810C23×C4C22×D311yescharacteristic
811C23×C4C22×D311yescharacteristic
812C23×C4C22×D311yescharacteristic
813#123—42no—
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—42no—
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⋊C4—31no—
847C2×C4⋊C4—31no—
848C2×C4⋊C4—31no—
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—64no—
905C2×C22⋊C4—122no—
906C2×C22⋊C4—122no—
907C2×C22⋊C4—122no—
908C2×C22⋊C4C22×D311yescharacteristic
909C2×C22⋊C4C22×D311yescharacteristic
910C2×C22⋊C4C22×D311yescharacteristic
911C2×C22⋊C4C22×D311yescharacteristic
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×C42—31no—
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#95—31no—
947#95—31no—
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×C3—21no—
967C23×C3—21no—
968C23×C3—21no—
969C23×C3—21no—
970C23×C3—21no—
971C23×C3—21no—
972C23×C3—21no—
973C23×C3C2×#4112yes—
974C23×C3H(5,𝔽2)12yes—
975C23×C3H(5,𝔽2)12yes—
976C23×C3C2511yescharacteristic
977C22×D3—28no—
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—
1026C3×D4—44no—
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—44no—
1065C2×C3×C4—44no—
1066C2×C3×C4—44no—
1067C2×C3×C4—82no—
1068C2×C3×C4C2×#4112yes—
1069C2×C3×C4H(5,𝔽2)12yes—
1070#67—44no—
1071#67—82no—
1072#67—82no—
1073#67—82no—
1074#67—82no—
1075#67—82no—
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—21no—
1103C2×Dic3—21no—
1104C2×Dic3—21no—
1105C2×Dic3—21no—
1106C2×Dic3—21no—
1107C2×Dic3—44no—
1108C2×Dic3—82no—
1109C2×Dic3C2×#4112yes—
1110C2×Dic3C2×#4112yes—
1111D12—44no—
1112D12—44no—
1113D12—44no—
1114D12—44no—
1115D12—82no—
1116D12—82no—
1117D12—82no—
1118D12—82no—
1119C4×D3—28no—
1120C4×D3—44no—
1121C4×D3—44no—
1122C4×D3—44no—
1123C4×D3—82no—
1124C4×D3—82no—
1125C4×D3—82no—
1126C24—31no—
1127C24—31no—
1128C24—31no—
1129C24—31no—
1130C24—31no—
1131C24—62no—
1132C24—62no—
1133C24—62no—
1134C24—62no—
1135C24—62no—
1136C24—62no—
1137C24—62no—
1138C24—62no—
1139C24—62no—
1140C24—121no—
1141C24—121no—
1142C24—121no—
1143C24—121no—
1144C24—121no—
1145C24C23×D311yescharacteristic
1146C24C23×D311yescharacteristic
1147C2×D4—22no—
1148C2×D4—22no—
1149C2×D4—22no—
1150C2×D4—34no—
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—1216no—
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—121no—
1193C22×C4—22no—
1194C22×C4—22no—
1195C22×C4—22no—
1196C22×C4—22no—
1197C22×C4—22no—
1198C22×C4—22no—
1199C22×C4—22no—
1200C22×C4—22no—
1201C22×C4—31no—
1202C22×C4—31no—
1203C22×C4—34no—
1204C22×C4—31no—
1205C22×C4—31no—
1206C22×C4—31no—
1207C22×C4—31no—
1208C22×C4—31no—
1209C22×C4—31no—
1210C22×C4—31no—
1211C22×C4—31no—
1212C22×C4—31no—
1213C22×C4—41no—
1214C22×C4—41no—
1215C22×C4—41no—
1216C22×C4—41no—
1217C22×C4—62no—
1218C22×C4—62no—
1219C22×C4—62no—
1220C22×C4—62no—
1221C22×C4—62no—
1222C22×C4—62no—
1223C22×C4—62no—
1224C22×C4—62no—
1225C22×C4—62no—
1226C22×C4—62no—
1227C22×C4—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—1216no—
1240C22×C4—121no—
1241C22×C4—121no—
1242C22×C4—121no—
1243C22×C4—121no—
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—62no—
1265C4⋊C4—62no—
1266C4⋊C4—62no—
1267C4⋊C4—121no—
1268C4⋊C4—121no—
1269C4⋊C4—121no—
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—41no—
1285C22⋊C4—41no—
1286C22⋊C4—41no—
1287C22⋊C4—41no—
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—62no—
1303C22⋊C4—62no—
1304C22⋊C4—62no—
1305C22⋊C4—62no—
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—121no—
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—41no—
1351C22×C3—41no—
1352C22×C3—41no—
1353C22×C3—41no—
1354C22×C3—41no—
1355C22×C3—41no—
1356C22×C3—41no—
1357C22×C3#54014yes—
1358C22×C3C22×#4111yescharacteristic
1359C22×C3C22×#4111yescharacteristic
1360C22×C3C2×H(5,𝔽2)11yescharacteristic
1361C22×C3C2×H(5,𝔽2)11yescharacteristic
1362C22×C3C2×H(5,𝔽2)11yescharacteristic
1363C22×C3C2×H(5,𝔽2)11yescharacteristic
1364C22×C3#58511yescharacteristic
1365C2×D3—22no—
1366C2×D3—22no—
1367C2×D3—22no—
1368C2×D3—22no—
1369C2×D3—22no—
1370C2×D3—22no—
1371C2×D3—22no—
1372C2×D3—22no—
1373C2×D3—22no—
1374C2×D3—416no—
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—41no—
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—
1415Dic3—22no—
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—21no—
1431C23—21no—
1432C23—21no—
1433C23—21no—
1434C23—21no—
1435C23—21no—
1436C23—21no—
1437C23—32no—
1438C23—32no—
1439C23—32no—
1440C23—68no—
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—
1486C23#100412yes—
1487C23D3×#4112yes—
1488C23#100912yes—
1489C23C24×D311yescharacteristic
1490D4—44no—
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—32no—
1543C2×C4—32no—
1544C2×C4—44no—
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—61no—
1578C2×C4—61no—
1579C2×C4—82no—
1580C2×C4—124no—
1581C2×C4—124no—
1582C2×C4—124no—
1583C2×C4—124no—
1584C2×C4—242no—
1585C2×C4—242no—
1586C2×C4—242no—
1587C2×C4—242no—
1588C2×C4D3×#4112yes—
1589C2×C4#100912yes—
1590C2×C3—24no—
1591C2×C3—81no—
1592C2×C3C2×#54011yescharacteristic
1593C2×C3#347511yescharacteristic
1594C2×C3#349011yescharacteristic
1595C2×C3#349011yescharacteristic
1596C2×C3#351911yescharacteristic
1597C2×C3#353411yescharacteristic
1598C2×C3#354211yescharacteristic
1599D3—42no—
1600D3—42no—
1601D3—42no—
1602D3—81no—
1603D3—81no—
1604C22—22no—
1605C22—22no—
1606C22—22no—
1607C22—22no—
1608C22—22no—
1609C22—22no—
1610C22—41no—
1611C22—41no—
1612C22—41no—
1613C22—41no—
1614C22—41no—
1615C22—41no—
1616C22—41no—
1617C22—62no—
1618C22—62no—
1619C22—62no—
1620C22—62no—
1621C22—62no—
1622C22—62no—
1623C22—62no—
1624C22—62no—
1625C22—62no—
1626C22—1216no—
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#566314yes—
1655C22C2×#100411yescharacteristic
1656C22C2×D3×#4111yescharacteristic
1657C22C2×D3×#4111yescharacteristic
1658C22C2×#100911yescharacteristic
1659C22C2×#100911yescharacteristic
1660C22D3×H(5,𝔽2)11yescharacteristic
1661C22#596811yescharacteristic
1662C4—22no—
1663C4—22no—
1664C4—41no—
1665C4—41no—
1666C4—41no—
1667C4—41no—
1668C4—41no—
1669C4—41no—
1670C4—41no—
1671C4—41no—
1672C4—41no—
1673C4—41no—
1674C4—41no—
1675C4—62no—
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—81no—
1689C2—122no—
1690C2—122no—
1691C2—122no—
1692C2—241no—
1693C2—241no—
1694C2C2×#566311yescharacteristic
1695C2#8616611yescharacteristic
1696C2#8645911yescharacteristic
1697C2#8666411yescharacteristic
1698C2#8669111yescharacteristic
1699C2#8681511yescharacteristic
1700C2#8682611yescharacteristic
subgroupG/H
center, FrattiniC23C24×D3
commutator, socle, cosocleC23×C3C25
FittingC3×#2419C2
hypercenter#2419D3
hypocenterC3#38388
LCSG ▷ C23×C3 ▷ C3
UCSC1 ◁ C23 ◁ #2419

Complements

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

NH ≅ G/Ntype
1. C3×#2419C2semidirect
2. #82901C2semidirect
3. #82894C2semidirect
4. #82403C2semidirect
5. #82342C2semidirect
6. #78381C2semidirect
7. #78217C2semidirect
8. #77991C2semidirect
9. #77760C2semidirect
10. #77699C2semidirect
11. #77694C2semidirect
12. #77549C2semidirect
13. #77473C2semidirect
14. #75422C2semidirect
15. #75408C2semidirect
16. #75332C2semidirect
17. #74952C2semidirect
18. #74935C2semidirect
19. #74890C2semidirect
20. #74628C2semidirect
21. #74601C2semidirect
22. #74478C2semidirect
23. #74447C2semidirect
24. #74131C2semidirect
25. #74122C2semidirect
26. #74097C2semidirect
27. #74058C2semidirect
28. #74021C2semidirect
29. #73862C2semidirect
30. C2×#4665C2semidirect
31. #73354C2semidirect
49. C2×#894C22semidirect
50. C2×#892C22semidirect
51. C2×#892C22semidirect
52. C2×#884C22semidirect
53. C2×#884C22semidirect
54. C2×#883C22semidirect
59. C3×#400C22semidirect
60. C3×#398C22semidirect
61. C3×#397C22semidirect
62. C3×#397C22semidirect
63. C3×#387C22semidirect
64. C3×#387C22semidirect
67. C3×#385C22semidirect
69. C3×#381C22semidirect
75. #5213C22semidirect
78. C4×#217C22semidirect
80. #4994C22semidirect
81. #4994C22semidirect
82. #4993C22semidirect
83. #4993C22semidirect
84. #4993C22semidirect
89. #4991C22semidirect
90. #4990C22semidirect
91. #4990C22semidirect
92. #4990C22semidirect
93. #4990C22semidirect
94. #4988C22semidirect
95. #4988C22semidirect
96. #4987C22semidirect
97. #4987C22semidirect
98. #4985C22semidirect
99. #4981C22semidirect
100. #4980C22semidirect
101. #4978C22semidirect
102. #4978C22semidirect
103. #4961C22semidirect
104. #4961C22semidirect
105. #4961C22semidirect
108. #4960C22semidirect
109. #4960C22semidirect
110. #4959C22semidirect
111. #4957C22semidirect
112. #4957C22semidirect
113. #4957C22semidirect
114. #4957C22semidirect
115. #4956C22semidirect
116. #4956C22semidirect
117. #4956C22semidirect
118. #4956C22semidirect
123. #4945C22semidirect
130. C4×(C2×D3)⋊C4C22semidirect
131. #4933C22semidirect
132. #4677C22semidirect
133. #4676C22semidirect
134. #4676C22semidirect
135. #4675C22semidirect
136. #4675C22semidirect
137. #4674C22semidirect
138. #4674C22semidirect
139. #4672C22semidirect
140. #4672C22semidirect
141. #4672C22semidirect
144. #4670C22semidirect
145. #4670C22semidirect
146. #4670C22semidirect
147. #4670C22semidirect
148. #4669C22semidirect
149. #4669C22semidirect
150. #4669C22semidirect
151. #4669C22semidirect
152. #4669C22semidirect
153. #4668C22semidirect
154. #4668C22semidirect
155. #4668C22semidirect
156. #4667C22semidirect
157. #4667C22semidirect
158. #4666C22semidirect
159. #4666C22semidirect
160. #4666C22semidirect
161. #4666C22semidirect
172. #4665C22semidirect
173. #4665C22semidirect
174. #4665C22semidirect
175. #4665C22semidirect
176. #4665C22semidirect
177. #4664C22semidirect
178. #4664C22semidirect
179. #4664C22semidirect
180. #4661C22semidirect
181. #4659C22semidirect
182. #4658C22semidirect
183. #4657C22semidirect
184. #4653C22semidirect
185. #4653C22semidirect
186. #4653C22semidirect
187. #4652C22semidirect
207. #2419D3semidirect
433. #400C2×D3semidirect
441. #398C2×D3semidirect
446. #397C2×D3semidirect
447. #397C2×D3semidirect
500. #387C2×D3semidirect
501. #387C2×D3semidirect
531. #385C2×D3semidirect
536. #381C2×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×#24192
#829012
#828942
#824032
#823422
#783812
#782172
#779912
#777602
#776992
#776942
#775492
#774732
#754222
#754082
#753322
#749522
#749352
#748902
#746282
#746012
#744782
#744472
#741312
#741222
#740972
#740582
#740212
#738622
C2×#46652
#733542
#383883