Finite Group Databasebeta

← #11028418

Subgroups — #11028418

Order 768.

2270 conjugacy classes of subgroups.

The subgroup lattice has 1642 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#5692C211yesmaximal, characteristic, complemented
2C2×#5691C211yesmaximal, characteristic, complemented
3C3×#2336C211yesmaximal, characteristic, complemented
4#76260C211yesmaximal, characteristic, complemented
5#76210C211yesmaximal, characteristic, complemented
6#76209C211yesmaximal, characteristic, complemented
7#76114C211yesmaximal, characteristic, complemented
8#75394C211yesmaximal, characteristic, complemented
9#75387C211yesmaximal, characteristic, complemented
10#75387C211yesmaximal, characteristic, complemented
11#75332C211yesmaximal, characteristic, complemented
12#75327C211yesmaximal, characteristic, complemented
13#75327C211yesmaximal, characteristic, complemented
14#75325C211yesmaximal, characteristic, complemented
15#75323C211yesmaximal, characteristic, complemented
16#75323C211yesmaximal, characteristic, complemented
17#75160C211yesmaximal, characteristic, complemented
18#75152C211yesmaximal, characteristic, complemented
19#75152C211yesmaximal, characteristic, complemented
20#75020C211yesmaximal, characteristic, complemented
21#75012C211yesmaximal, characteristic, complemented
22#75005C211yesmaximal, characteristic, complemented
23#75001C211yesmaximal, characteristic, complemented
24#74317C211yesmaximal, characteristic, complemented
25#74309C211yesmaximal, characteristic, complemented
26#73816C211yesmaximal, characteristic, complemented
27#73805C211yesmaximal, characteristic, complemented
28#73803C211yesmaximal, characteristic, complemented
29#73774C211yesmaximal, characteristic, complemented
30C4×#895C211yesmaximal, characteristic, complemented
31#73653C211yesmaximal, characteristic, complemented
32#37829—31nomaximal, Sylow
33C2×C3×#125C2211yescharacteristic
34#5692—28no—
35#5691—28no—
36C2×#898C2211yescharacteristic
37C2×#898C2211yescharacteristic
38C2×#898C2211yescharacteristic
39C2×#897C2211yescharacteristic
40C2×#897C2211yescharacteristic
41C2×#897C2211yescharacteristic
42C2×#896C2211yescharacteristic
43C2×#896C2211yescharacteristic
44C2×#895C2211yescharacteristic
45C2×#895C2211yescharacteristic
46C2×#895C2211yescharacteristic
47C2×#895C2211yescharacteristic
48C2×#895C2211yescharacteristic
49C2×#894C2211yescharacteristic
50C2×#894C2211yescharacteristic
51C2×#894C2211yescharacteristic
52C2×#894C2211yescharacteristic
53C2×#894C2211yescharacteristic
54C2×#894C2211yescharacteristic
55C2×#893C2211yescharacteristic
56C2×#893C2211yescharacteristic
57C2×#893C2211yescharacteristic
58C2×#893C2211yescharacteristic
59C2×#892C2211yescharacteristic
60C2×#892C2211yescharacteristic
61C2×D3×C4⋊C4C2211yescharacteristic
62C2×#889C2211yescharacteristic
63C2×#887C2211yescharacteristic
64C2×#876C2211yescharacteristic
65C2×#875C2211yescharacteristic
66C2×#874C2211yescharacteristic
67C2×C4×D12C2211yescharacteristic
68C2×C4×D12C2211yescharacteristic
69C2×C4×D12C2211yescharacteristic
70C2×C4×D12C2211yescharacteristic
71C2×C4×D12C2211yescharacteristic
72C2×C42×D3C2211yescharacteristic
73C3×#389C2211yescharacteristic
74C3×#389C2211yescharacteristic
75C3×#387C2211yescharacteristic
76C3×#387C2211yescharacteristic
77C3×#387C2211yescharacteristic
78C3×#387C2211yescharacteristic
79C3×#387C2211yescharacteristic
80C3×#387C2211yescharacteristic
81C3×#387C2211yescharacteristic
82C3×#387C2211yescharacteristic
83C3×#383C2211yescharacteristic
84C3×C4×C4⋊C4C2211yescharacteristic
85C3×C4×C4⋊C4C2211yescharacteristic
86C3×C4×C4⋊C4C2211yescharacteristic
87#4994C2211yescharacteristic
88#4994C2211yescharacteristic
89#4994C2211yescharacteristic
90#4994C2211yescharacteristic
91#4994C2211yescharacteristic
92#4991C2211yescharacteristic
93#4991C2211yescharacteristic
94#4991C2211yescharacteristic
95#4991C2211yescharacteristic
96#4991C2211yescharacteristic
97#4991C2211yescharacteristic
98#4988C2211yescharacteristic
99#4988C2211yescharacteristic
100#4988C2211yescharacteristic
101#4987C2211yescharacteristic
102#4987C2211yescharacteristic
103#4987C2211yescharacteristic
104#4984C2211yescharacteristic
105#4984C2211yescharacteristic
106#4981C2211yescharacteristic
107#4940C2211yescharacteristic
108#4940C2211yescharacteristic
109#4940C2211yescharacteristic
110#4940C2211yescharacteristic
111#4940C2211yescharacteristic
112#4940C2211yescharacteristic
113#4940C2211yescharacteristic
114#4939C2211yescharacteristic
115#4939C2211yescharacteristic
116#4939C2211yescharacteristic
117#4939C2211yescharacteristic
118#4939C2211yescharacteristic
119#4939C2211yescharacteristic
120#4939C2211yescharacteristic
121C4×(C2×D3)⋊C4C2211yescharacteristic
122C4×(C2×D3)⋊C4C2211yescharacteristic
123C4×(C2×D3)⋊C4C2211yescharacteristic
124C4×C4⋊Dic3C2211yescharacteristic
125#4929C2211yescharacteristic
126#4677C2211yescharacteristic
127#4674C2211yescharacteristic
128#4674C2211yescharacteristic
129#4674C2211yescharacteristic
130#4674C2211yescharacteristic
131#4673C2211yescharacteristic
132#4673C2211yescharacteristic
133#4673C2211yescharacteristic
134#4673C2211yescharacteristic
135#4673C2211yescharacteristic
136#4672C2211yescharacteristic
137#4672C2211yescharacteristic
138#4672C2211yescharacteristic
139#4671C2211yescharacteristic
140#4671C2211yescharacteristic
141#4671C2211yescharacteristic
142#4671C2211yescharacteristic
143#4671C2211yescharacteristic
144#4671C2211yescharacteristic
145#4671C2211yescharacteristic
146#4671C2211yescharacteristic
147#4671C2211yescharacteristic
148#4671C2211yescharacteristic
149#4671C2211yescharacteristic
150#4670C2211yescharacteristic
151#4670C2211yescharacteristic
152#4670C2211yescharacteristic
153#4670C2211yescharacteristic
154#4670C2211yescharacteristic
155#4670C2211yescharacteristic
156#4670C2211yescharacteristic
157#4670C2211yescharacteristic
158#4670C2211yescharacteristic
159#4668C2211yescharacteristic
160#4668C2211yescharacteristic
161#4668C2211yescharacteristic
162#4668C2211yescharacteristic
163#4668C2211yescharacteristic
164#4668C2211yescharacteristic
165#4665C2211yescharacteristic
166#4665C2211yescharacteristic
167#4665C2211yescharacteristic
168#4665C2211yescharacteristic
169#4665C2211yescharacteristic
170#4665C2211yescharacteristic
171#4665C2211yescharacteristic
172#4665C2211yescharacteristic
173#4665C2211yescharacteristic
174#4665C2211yescharacteristic
175#4665C2211yescharacteristic
176#4665C2211yescharacteristic
177#4665C2211yescharacteristic
178#4665C2211yescharacteristic
179#4665C2211yescharacteristic
180#4665C2211yescharacteristic
181#4661C2211yescharacteristic
182#4659C2211yescharacteristic
183#4659C2211yescharacteristic
184#4656C2211yescharacteristic
185#4653C2211yescharacteristic
186#4653C2211yescharacteristic
187#4653C2211yescharacteristic
188#4653C2211yescharacteristic
189#4653C2211yescharacteristic
190C2×#539—31no—
191C2×#529—31no—
192#2852—31no—
193#2714—31no—
194#2707—31no—
195#2696—31no—
196#2696—31no—
197#2692—31no—
198#2682—31no—
199#2673—31no—
200#2673—31no—
201#2662—31no—
202#2631—31no—
203#2560—31no—
204#2554—31no—
205#2481—31no—
206#2475—31no—
207#2471—31no—
208#2469—31no—
209#2467—31no—
210#2463—31no—
211#2463—31no—
212#2458—31no—
213#2456—31no—
214#2456—31no—
215#2415—31no—
216#2414—31no—
217#2366—31no—
218#2361—31no—
219#2336D311yescharacteristic, complemented
220C4×#121—31no—
221C22×D12C2311yescharacteristic
222C22×D12C2311yescharacteristic
223C22×D12C2311yescharacteristic
224C22×D12C2311yescharacteristic
225C22×D12C2311yescharacteristic
226C22×D12C2311yescharacteristic
227C22×D12C2311yescharacteristic
228C22×D12C2311yescharacteristic
229C22×D12C2311yescharacteristic
230C22×D12C2311yescharacteristic
231C22×D12C2311yescharacteristic
232C22×D12C2311yescharacteristic
233C22×D12C2311yescharacteristic
234C22×D12C2311yescharacteristic
235C22×D12C2311yescharacteristic
236C22×C4×D3C2311yescharacteristic
237C22×C4×D3C2311yescharacteristic
238C22×C4×D3C2311yescharacteristic
239C22×C4×D3C2311yescharacteristic
240C22×C4×D3C2311yescharacteristic
241C22×C4×D3C2311yescharacteristic
242C22×C4×D3C2311yescharacteristic
243C22×C4×D3C2311yescharacteristic
244C22×C4×D3C2311yescharacteristic
245C22×C4×D3C2311yescharacteristic
246C22×Dic6C2311yescharacteristic
247C22×Dic6C2311yescharacteristic
248C3×#125D418yescomplemented
249C2×C3×C4⋊C4C2311yescharacteristic
250C2×C3×C4⋊C4C2311yescharacteristic
251C2×C3×C4⋊C4C2311yescharacteristic
252C2×C3×C4⋊C4C2311yescharacteristic
253C2×C3×C4⋊C4C2311yescharacteristic
254C2×C3×C4⋊C4C2311yescharacteristic
255C2×C3×C4⋊C4C2311yescharacteristic
256C2×C3×C4⋊C4C2311yescharacteristic
257C2×C3×C4⋊C4C2311yescharacteristic
258C2×C3×C4⋊C4C2311yescharacteristic
259C2×C3×C4⋊C4C2311yescharacteristic
260C2×C3×C4⋊C4C2311yescharacteristic
261C2×C3×C42C2311yescharacteristic
262C2×C3×C42C2311yescharacteristic
263C2×C3×C42C2311yescharacteristic
264C2×C3×C42C2311yescharacteristic
265C2×C3×C42C2311yescharacteristic
266C2×C3×C42C2311yescharacteristic
267C2×C3×C42C2311yescharacteristic
268C2×(C2×D3)⋊C4C2311yescharacteristic
269C2×(C2×D3)⋊C4C2311yescharacteristic
270C2×(C2×D3)⋊C4C2311yescharacteristic
271C2×(C2×D3)⋊C4C2311yescharacteristic
272C2×(C2×D3)⋊C4C2311yescharacteristic
273C2×(C2×D3)⋊C4C2311yescharacteristic
274C2×(C2×D3)⋊C4C2311yescharacteristic
275C2×(C2×D3)⋊C4C2311yescharacteristic
276C2×(C2×D3)⋊C4C2311yescharacteristic
277C2×(C2×D3)⋊C4C2311yescharacteristic
278C2×(C2×D3)⋊C4C2311yescharacteristic
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×C4⋊Dic3C2311yescharacteristic
319C2×C4⋊Dic3C2311yescharacteristic
320C2×C4⋊Dic3C2311yescharacteristic
321C2×C4⋊Dic3C2311yescharacteristic
322C2×C4⋊Dic3C2311yescharacteristic
323C2×C4⋊Dic3C2311yescharacteristic
324C2×C4⋊Dic3C2311yescharacteristic
325C2×C4⋊Dic3C2311yescharacteristic
326C2×C4⋊Dic3C2311yescharacteristic
327C2×C4⋊Dic3C2311yescharacteristic
328C2×C4⋊Dic3C2311yescharacteristic
329C2×Dic3⋊C4C2311yescharacteristic
330C2×Dic3⋊C4C2311yescharacteristic
331C2×Dic3⋊C4C2311yescharacteristic
332C2×Dic3⋊C4C2311yescharacteristic
333C2×Dic3⋊C4C2311yescharacteristic
334C2×Dic3⋊C4C2311yescharacteristic
335C2×Dic3⋊C4C2311yescharacteristic
336C2×Dic3⋊C4C2311yescharacteristic
337C2×C4×Dic3C2311yescharacteristic
338C2×C4×Dic3C2311yescharacteristic
339C2×C4×Dic3C2311yescharacteristic
340C2×C4×Dic3C2311yescharacteristic
341C2×C4×Dic3C2311yescharacteristic
342C2×C4×Dic3C2311yescharacteristic
343#898—24no—
344#898—24no—
345#898—24no—
346#897—24no—
347#897—24no—
348#897—42no—
349#896—24no—
350#896—24no—
351#895—24no—
352#895—24no—
353#895—24no—
354#895—24no—
355#895—42no—
356#894—24no—
357#894—24no—
358#894—24no—
359#894—24no—
360#894—24no—
361#894—24no—
362#893—24no—
363#893—24no—
364#893—24no—
365#893—24no—
366#892—24no—
367#892—24no—
368D3×C4⋊C4—24no—
369#889—24no—
370#887—24no—
371#876—24no—
372#875—24no—
373#874—24no—
374C4×D12—24no—
375C4×D12—42no—
376C4×D12—42no—
377C4×D12—42no—
378C4×D12—42no—
379C42×D3—24no—
380C3×#95C2311yescharacteristic
381C3×#95C2311yescharacteristic
382C3×#95C2311yescharacteristic
383C3×#95C2311yescharacteristic
384C3×#95C2311yescharacteristic
385C3×#95C2311yescharacteristic
386C3×#95C2311yescharacteristic
387C3×#95C2311yescharacteristic
388C3×#95C2311yescharacteristic
389C3×#95C2311yescharacteristic
390C3×#95C2311yescharacteristic
391C3×#95C2311yescharacteristic
392C3×#95C2311yescharacteristic
393C3×#95C2311yescharacteristic
394C3×#95C2311yescharacteristic
395C3×#95C2311yescharacteristic
396C3⋊#95C2311yescharacteristic
397C3⋊#95C2311yescharacteristic
398C3⋊#95C2311yescharacteristic
399C3⋊#95C2311yescharacteristic
400C3⋊#95C2311yescharacteristic
401C3⋊#95C2311yescharacteristic
402C3⋊#95C2311yescharacteristic
403C3⋊#95C2311yescharacteristic
404C3⋊#95C2311yescharacteristic
405C3⋊#95C2311yescharacteristic
406C3⋊#95C2311yescharacteristic
407C3⋊#95C2311yescharacteristic
408C3⋊#95C2311yescharacteristic
409C3⋊#95C2311yescharacteristic
410C3⋊#95C2311yescharacteristic
411C3⋊#95C2311yescharacteristic
412C3⋊#95C2311yescharacteristic
413C3⋊#95C2311yescharacteristic
414#539—68no—
415C2×#127—31no—
416#529—68no—
417C2×#126—31no—
418C2×#126—31no—
419C2×#126—31no—
420C2×#126—31no—
421C2×#125—31no—
422C2×#125C2×D311yescharacteristic
423C2×#124—31no—
424C2×#123—31no—
425C2×#123—31no—
426C2×#123—31no—
427C2×#123—31no—
428C2×#123—31no—
429C2×#123—31no—
430C2×C22⋊Q8—31no—
431C2×C22⋊Q8—31no—
432C2×C22⋊Q8—31no—
433C2×C22⋊Q8—31no—
434C2×C22⋊Q8—31no—
435C2×#121—31no—
436C2×#121—31no—
437C2×#121—31no—
438C2×#121—31no—
439C2×#121—31no—
440C2×C4×Q8—31no—
441C2×C4×D4—31no—
442C2×C4×D4—31no—
443C2×C4×D4—31no—
444C2×C4×D4—31no—
445C2×C4×D4—31no—
446C2×C4×D4—31no—
447C2×C4×D4—31no—
448C2×C4×D4—31no—
449C2×C4×D4—31no—
450C2×#117—31no—
451C2×#117—31no—
452C22×C4⋊C4—31no—
453C22×C42—31no—
454#400—31no—
455#400—31no—
456#399—31no—
457#398—31no—
458#398—31no—
459#397—31no—
460#397—31no—
461#397—31no—
462#397—31no—
463#396—31no—
464#396—31no—
465#396—31no—
466#396—31no—
467#396—31no—
468#395—31no—
469#394—31no—
470#394—31no—
471#394—31no—
472#394—31no—
473#394—31no—
474#394—31no—
475#394—31no—
476#394—31no—
477#394—31no—
478#393—31no—
479#393—31no—
480#393—31no—
481#393—31no—
482#393—31no—
483#392—31no—
484#392—31no—
485#392—31no—
486#392—31no—
487#392—31no—
488#392—31no—
489#392—31no—
490#392—31no—
491#392—31no—
492#392—31no—
493#392—31no—
494#391—31no—
495#390—31no—
496#390—31no—
497#390—31no—
498#390—31no—
499#390—31no—
500#390—31no—
501#390—31no—
502#390—31no—
503#390—31no—
504#390—31no—
505#389—31no—
506#389—31no—
507#389C2×D311yescharacteristic
508#389C2×D311yescharacteristic
509#388—31no—
510#388—31no—
511#388—31no—
512#388—31no—
513#388—31no—
514#388—31no—
515#388—31no—
516#388—31no—
517#388—31no—
518#388—31no—
519#388—31no—
520#388—31no—
521#388—31no—
522#388—31no—
523#388—31no—
524#388—31no—
525#387—31no—
526#387—31no—
527#387—31no—
528#387—31no—
529#387—31no—
530#387C2×D311yescharacteristic
531#387C2×D311yescharacteristic
532#387C2×D311yescharacteristic
533#387C2×D311yescharacteristic
534#387C2×D311yescharacteristic
535#387C2×D311yescharacteristic
536#387C2×D311yescharacteristic
537#387C2×D311yescharacteristic
538#386—31no—
539#386—31no—
540#386—31no—
541#386—31no—
542#386—31no—
543#386—31no—
544#386—31no—
545#386—31no—
546#386—31no—
547#386—31no—
548#386—31no—
549#386—31no—
550#386—31no—
551#386—31no—
552#386—31no—
553#386—31no—
554#385—31no—
555#385—31no—
556#385—31no—
557#385—31no—
558#385—31no—
559#385—31no—
560#383C2×D311yescharacteristic
561#380—31no—
562#380—31no—
563#380—31no—
564C4×C4⋊C4—31no—
565C4×C4⋊C4C2×D311yescharacteristic
566C4×C4⋊C4C2×D311yescharacteristic
567C4×C4⋊C4C2×D311yescharacteristic
568C4×C22⋊C4—31no—
569C4×C22⋊C4—31no—
570C4×C22⋊C4—31no—
571C23×D3C2411yescharacteristic
572C23×D3C2411yescharacteristic
573C23×D3C2411yescharacteristic
574C23×D3C2411yescharacteristic
575C23×D3C2411yescharacteristic
576C23×D3C2411yescharacteristic
577C22×C3×C4C2411yescharacteristic
578C22×C3×C4C2411yescharacteristic
579C22×C3×C4C2411yescharacteristic
580C22×C3×C4C2411yescharacteristic
581C22×C3×C4C2411yescharacteristic
582C22×C3×C4C2411yescharacteristic
583C22×C3×C4C2411yescharacteristic
584C22×C3×C4C2411yescharacteristic
585C22×C3×C4C2411yescharacteristic
586C22×C3×C4C2411yescharacteristic
587C22×C3×C4C2411yescharacteristic
588C22×C3×C4C2411yescharacteristic
589C22×C3×C4C2411yescharacteristic
590C22×C3×C4C2411yescharacteristic
591C22×C3×C4C2411yescharacteristic
592C22×Dic3C2411yescharacteristic
593C22×Dic3C2411yescharacteristic
594C22×Dic3C2411yescharacteristic
595C22×Dic3C2411yescharacteristic
596C22×Dic3C2411yescharacteristic
597C22×Dic3C2411yescharacteristic
598C22×Dic3C2411yescharacteristic
599C22×Dic3C2411yescharacteristic
600C22×Dic3C2411yescharacteristic
601C22×Dic3C2411yescharacteristic
602C2×D12—22no—
603C2×D12—22no—
604C2×D12—22no—
605C2×D12—22no—
606C2×D12—22no—
607C2×D12—22no—
608C2×D12—22no—
609C2×D12—22no—
610C2×D12—22no—
611C2×D12—22no—
612C2×D12—22no—
613C2×D12—22no—
614C2×D12—22no—
615C2×D12—22no—
616C2×D12—22no—
617C2×D12—41no—
618C2×D12—41no—
619C2×D12—41no—
620C2×D12—41no—
621C2×D12—41no—
622C2×D12—41no—
623C2×D12—41no—
624C2×D12—41no—
625C2×D12—41no—
626C2×D12—41no—
627C2×D12—41no—
628C2×D12—41no—
629C2×D12—41no—
630C2×D12—41no—
631C2×D12—41no—
632C2×D12—41no—
633C2×D12—41no—
634C2×D12—41no—
635C2×D12—41no—
636C2×D12—41no—
637C2×D12—41no—
638C2×D12—41no—
639C2×D12—41no—
640C2×D12—41no—
641C2×D12—41no—
642C2×D12—41no—
643C2×D12—41no—
644C2×D12—41no—
645C2×D12—41no—
646C2×D12#4114yes—
647C2×C4×D3—22no—
648C2×C4×D3—22no—
649C2×C4×D3—22no—
650C2×C4×D3—22no—
651C2×C4×D3—22no—
652C2×C4×D3—22no—
653C2×C4×D3—22no—
654C2×C4×D3—22no—
655C2×C4×D3—22no—
656C2×C4×D3—22no—
657C2×C4×D3—22no—
658C2×C4×D3—22no—
659C2×C4×D3—22no—
660C2×C4×D3—22no—
661C2×C4×D3—22no—
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×D3—41no—
674C2×C4×D3—41no—
675C2×C4×D3—41no—
676C2×C4×D3—41no—
677C2×Dic6—22no—
678C2×Dic6—22no—
679C2×Dic6—41no—
680C2×Dic6—41no—
681C2×Dic6—41no—
682C2×Dic6—41no—
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×C4⋊C4C2×D414yes—
691C3×C4⋊C4C2×D414yes—
692C3×C4⋊C4C2×D414yes—
693C3×C4⋊C4C2×D414yes—
694C3×C4⋊C4C2×D414yes—
695C3×C42—22no—
696C3×C42—41no—
697C3×C42—41no—
698C3×C42—41no—
699C3×C42—41no—
700C3×C42—41no—
701C3×C42C2×D414yes—
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—22no—
717(C2×D3)⋊C4—22no—
718(C2×D3)⋊C4—22no—
719(C2×D3)⋊C4—22no—
720(C2×D3)⋊C4—22no—
721(C2×D3)⋊C4—22no—
722(C2×D3)⋊C4—22no—
723(C2×D3)⋊C4—22no—
724(C2×D3)⋊C4—22no—
725(C2×D3)⋊C4—22no—
726(C2×D3)⋊C4—22no—
727(C2×D3)⋊C4—22no—
728(C2×D3)⋊C4—22no—
729(C2×D3)⋊C4—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—
752C4⋊Dic3—22no—
753C4⋊Dic3—22no—
754C4⋊Dic3—22no—
755C4⋊Dic3—22no—
756C4⋊Dic3—22no—
757C4⋊Dic3—22no—
758C4⋊Dic3—22no—
759C4⋊Dic3—41no—
760C4⋊Dic3—41no—
761C4⋊Dic3—41no—
762C4⋊Dic3—41no—
763Dic3⋊C4—22no—
764Dic3⋊C4—22no—
765Dic3⋊C4—22no—
766Dic3⋊C4—22no—
767Dic3⋊C4—22no—
768Dic3⋊C4—22no—
769Dic3⋊C4—22no—
770Dic3⋊C4—22no—
771C4×Dic3—22no—
772C4×Dic3—22no—
773C4×Dic3—22no—
774C4×Dic3—22no—
775C4×Dic3—22no—
776C4×Dic3—22no—
777C22×Q8—31no—
778C22×Q8—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—
794C23×C4—31no—
795C23×C4—31no—
796C23×C4—31no—
797C23×C4—31no—
798C23×C4—31no—
799C23×C4—31no—
800C23×C4—31no—
801C23×C4—31no—
802C23×C4—31no—
803C23×C4—31no—
804#127—64no—
805#126—64no—
806#126—64no—
807#126—64no—
808#126—64no—
809#125—64no—
810#125D1218yescomplemented
811#124—64no—
812#123—64no—
813#123—64no—
814#123—64no—
815#123—64no—
816#123—64no—
817#123—64no—
818C22⋊Q8—64no—
819C22⋊Q8—64no—
820C22⋊Q8—64no—
821C22⋊Q8—64no—
822C22⋊Q8—122no—
823#121—64no—
824#121—64no—
825#121—64no—
826#121—64no—
827#121—122no—
828C4×Q8—64no—
829C4×D4—64no—
830C4×D4—64no—
831C4×D4—64no—
832C4×D4—64no—
833C4×D4—64no—
834C4×D4—122no—
835C4×D4—122no—
836C4×D4—122no—
837C4×D4—122no—
838#117—64no—
839#117—64no—
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—64no—
860C2×C4⋊C4C22×D311yescharacteristic
861C2×C4⋊C4C22×D311yescharacteristic
862C2×C4⋊C4C22×D311yescharacteristic
863C2×C4⋊C4C22×D311yescharacteristic
864C2×C4⋊C4C22×D311yescharacteristic
865C2×C4⋊C4C22×D311yescharacteristic
866C2×C4⋊C4C22×D311yescharacteristic
867C2×C4⋊C4C22×D311yescharacteristic
868C2×C4⋊C4C22×D311yescharacteristic
869C2×C4⋊C4C22×D311yescharacteristic
870C2×C4⋊C4C22×D311yescharacteristic
871C2×C4⋊C4C22×D311yescharacteristic
872C2×C22⋊C4—31no—
873C2×C22⋊C4—31no—
874C2×C22⋊C4—31no—
875C2×C22⋊C4—31no—
876C2×C22⋊C4—31no—
877C2×C22⋊C4—31no—
878C2×C22⋊C4—31no—
879C2×C22⋊C4—31no—
880C2×C22⋊C4—31no—
881C2×C22⋊C4—31no—
882C2×C22⋊C4—31no—
883C2×C22⋊C4—31no—
884C2×C22⋊C4—31no—
885C2×C22⋊C4—31no—
886C2×C22⋊C4—31no—
887C2×C22⋊C4—31no—
888C2×C22⋊C4—31no—
889C2×C22⋊C4—31no—
890C2×C22⋊C4—31no—
891C2×C22⋊C4—31no—
892C2×C22⋊C4—31no—
893C2×C22⋊C4—31no—
894C2×C22⋊C4—31no—
895C2×C22⋊C4—31no—
896C2×C22⋊C4—31no—
897C2×C22⋊C4—31no—
898C2×C22⋊C4—31no—
899C2×C22⋊C4—31no—
900C2×C22⋊C4—31no—
901C2×C22⋊C4—31no—
902C2×C22⋊C4—31no—
903C2×C22⋊C4—31no—
904C2×C22⋊C4—31no—
905C2×C22⋊C4—31no—
906C2×C22⋊C4—31no—
907C2×C22⋊C4—31no—
908C2×C22⋊C4—31no—
909C2×C22⋊C4—31no—
910C2×C22⋊C4—31no—
911C2×C22⋊C4—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×C42—31no—
923C2×C42—31no—
924C2×C42—31no—
925C2×C42—31no—
926C2×C42—31no—
927C2×C42—31no—
928C2×C42—64no—
929C2×C42C22×D311yescharacteristic
930C2×C42C22×D311yescharacteristic
931C2×C42C22×D311yescharacteristic
932C2×C42C22×D311yescharacteristic
933C2×C42C22×D311yescharacteristic
934C2×C42C22×D311yescharacteristic
935C2×C42C22×D311yescharacteristic
936#95—31no—
937#95—31no—
938#95—31no—
939#95—31no—
940#95—31no—
941#95—31no—
942#95—31no—
943#95—31no—
944#95—31no—
945#95—31no—
946#95—31no—
947#95—31no—
948#95—31no—
949#95—31no—
950#95—31no—
951#95—31no—
952#95—31no—
953#95—31no—
954#95C22×D311yescharacteristic
955#95C22×D311yescharacteristic
956#95C22×D311yescharacteristic
957#95C22×D311yescharacteristic
958#95C22×D311yescharacteristic
959#95C22×D311yescharacteristic
960#95C22×D311yescharacteristic
961#95C22×D311yescharacteristic
962#95C22×D311yescharacteristic
963#95C22×D311yescharacteristic
964#95C22×D311yescharacteristic
965#95C22×D311yescharacteristic
966#95C22×D311yescharacteristic
967#95C22×D311yescharacteristic
968#95C22×D311yescharacteristic
969#95C22×D311yescharacteristic
970C23×C3C2511yescharacteristic
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—21no—
1011C22×D3C2×#4112yes—
1012C22×D3C2×#4112yes—
1013C2×C3×C4—21no—
1014C2×C3×C4—21no—
1015C2×C3×C4—21no—
1016C2×C3×C4—21no—
1017C2×C3×C4—21no—
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×C4C22×D412yes—
1051C2×C3×C4C22×D412yes—
1052C2×C3×C4C22×D412yes—
1053C2×C3×C4C22×D412yes—
1054C2×C3×C4C22×D412yes—
1055C2×C3×C4C22×D412yes—
1056C2×C3×C4C22×D412yes—
1057C2×C3×C4C2×#4112yes—
1058C2×Dic3—21no—
1059C2×Dic3—21no—
1060C2×Dic3—21no—
1061C2×Dic3—21no—
1062C2×Dic3—21no—
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×Dic3H(5,𝔽2)12yes—
1088D12—44no—
1089D12—44no—
1090D12—44no—
1091D12—44no—
1092D12—44no—
1093D12—44no—
1094D12—44no—
1095D12—44no—
1096D12—44no—
1097D12—82no—
1098D12—82no—
1099D12—82no—
1100D12—82no—
1101D12—82no—
1102D12—82no—
1103C4×D3—44no—
1104C4×D3—44no—
1105C4×D3—44no—
1106C4×D3—44no—
1107C4×D3—44no—
1108C4×D3—44no—
1109C4×D3—82no—
1110C4×D3—82no—
1111C4×D3—82no—
1112C4×D3—82no—
1113Dic6—44no—
1114Dic6—82no—
1115C24—31no—
1116C24—31no—
1117C24—31no—
1118C24—31no—
1119C24—31no—
1120C24—31no—
1121C2×Q8—62no—
1122C2×Q8—62no—
1123C2×Q8—121no—
1124C2×Q8—121no—
1125C2×Q8—121no—
1126C2×Q8—121no—
1127C2×D4—34no—
1128C2×D4—62no—
1129C2×D4—62no—
1130C2×D4—62no—
1131C2×D4—62no—
1132C2×D4—62no—
1133C2×D4—62no—
1134C2×D4—62no—
1135C2×D4—62no—
1136C2×D4—62no—
1137C2×D4—62no—
1138C2×D4—62no—
1139C2×D4—62no—
1140C2×D4—62no—
1141C2×D4—62no—
1142C2×D4—62no—
1143C2×D4—121no—
1144C2×D4—121no—
1145C2×D4—121no—
1146C2×D4—121no—
1147C2×D4—121no—
1148C2×D4—121no—
1149C2×D4—121no—
1150C2×D4—121no—
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—
1160C2×D4—121no—
1161C2×D4—121no—
1162C2×D4—121no—
1163C2×D4—121no—
1164C2×D4—121no—
1165C2×D4—121no—
1166C2×D4—121no—
1167C2×D4—121no—
1168C2×D4—121no—
1169C2×D4—121no—
1170C2×D4—121no—
1171C2×D4—121no—
1172C22×C4—31no—
1173C22×C4—31no—
1174C22×C4—31no—
1175C22×C4—31no—
1176C22×C4—31no—
1177C22×C4—31no—
1178C22×C4—31no—
1179C22×C4—31no—
1180C22×C4—31no—
1181C22×C4—31no—
1182C22×C4—62no—
1183C22×C4—62no—
1184C22×C4—62no—
1185C22×C4—62no—
1186C22×C4—62no—
1187C22×C4—62no—
1188C22×C4—62no—
1189C22×C4—62no—
1190C22×C4—62no—
1191C22×C4—62no—
1192C22×C4—62no—
1193C22×C4—62no—
1194C22×C4—62no—
1195C22×C4—62no—
1196C22×C4—62no—
1197C22×C4—121no—
1198C22×C4—121no—
1199C22×C4—121no—
1200C22×C4—121no—
1201C22×C4—121no—
1202C22×C4—121no—
1203C22×C4—121no—
1204C22×C4—121no—
1205C22×C4—121no—
1206C22×C4—121no—
1207C22×C4—121no—
1208C22×C4—121no—
1209C22×C4—121no—
1210C22×C4—121no—
1211C22×C4—121no—
1212C22×C4C23×D311yescharacteristic
1213C22×C4C23×D311yescharacteristic
1214C22×C4C23×D311yescharacteristic
1215C22×C4C23×D311yescharacteristic
1216C22×C4C23×D311yescharacteristic
1217C22×C4C23×D311yescharacteristic
1218C22×C4C23×D311yescharacteristic
1219C22×C4C23×D311yescharacteristic
1220C22×C4C23×D311yescharacteristic
1221C22×C4C23×D311yescharacteristic
1222C22×C4C23×D311yescharacteristic
1223C22×C4C23×D311yescharacteristic
1224C22×C4C23×D311yescharacteristic
1225C22×C4C23×D311yescharacteristic
1226C22×C4C23×D311yescharacteristic
1227C4⋊C4—22no—
1228C4⋊C4—22no—
1229C4⋊C4—41no—
1230C4⋊C4—41no—
1231C4⋊C4—41no—
1232C4⋊C4—41no—
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⋊C4C2×D1214yes—
1253C4⋊C4C2×D1214yes—
1254C4⋊C4C2×D1214yes—
1255C4⋊C4C2×D1214yes—
1256C4⋊C4C2×D1214yes—
1257C4⋊C4C2×D1214yes—
1258C22⋊C4—62no—
1259C22⋊C4—62no—
1260C22⋊C4—62no—
1261C22⋊C4—62no—
1262C22⋊C4—62no—
1263C22⋊C4—62no—
1264C22⋊C4—62no—
1265C22⋊C4—62no—
1266C22⋊C4—62no—
1267C22⋊C4—62no—
1268C22⋊C4—62no—
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—62no—
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—41no—
1311C42—41no—
1312C42—41no—
1313C42—41no—
1314C42—62no—
1315C42—62no—
1316C42—62no—
1317C42—62no—
1318C42—62no—
1319C42—62no—
1320C42C2×D1214yes—
1321C22×C3C23×D411yescharacteristic
1322C22×C3C22×#4111yescharacteristic
1323C22×C3C2×H(5,𝔽2)11yescharacteristic
1324C22×C3#58511yescharacteristic
1325C22×C3#58511yescharacteristic
1326C22×C3#58511yescharacteristic
1327C22×C3#58511yescharacteristic
1328C2×D3—22no—
1329C2×D3—22no—
1330C2×D3—22no—
1331C2×D3—22no—
1332C2×D3—22no—
1333C2×D3—22no—
1334C2×D3—41no—
1335C2×D3—41no—
1336C2×D3—41no—
1337C2×D3—41no—
1338C2×D3—41no—
1339C2×D3—41no—
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—
1359C2×D3—41no—
1360C2×D3—41no—
1361C2×D3—41no—
1362C2×D3—41no—
1363C2×D3—41no—
1364C2×D3—41no—
1365C2×D3—41no—
1366C2×D3—41no—
1367C2×D3—41no—
1368C2×D3—41no—
1369C2×D3—41no—
1370C3×C4—22no—
1371C3×C4—22no—
1372C3×C4—22no—
1373C3×C4—22no—
1374C3×C4—22no—
1375C3×C4—22no—
1376C3×C4—22no—
1377C3×C4—22no—
1378C3×C4—41no—
1379C3×C4—41no—
1380C3×C4—41no—
1381C3×C4—41no—
1382C3×C4—41no—
1383C3×C4—41no—
1384C3×C4—41no—
1385Dic3—22no—
1386Dic3—41no—
1387Dic3—41no—
1388Dic3—41no—
1389Dic3—41no—
1390Dic3—41no—
1391Dic3—41no—
1392Dic3—41no—
1393Dic3—41no—
1394Dic3—41no—
1395C23—32no—
1396C23—32no—
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—61no—
1420C23—61no—
1421C23—61no—
1422C23—61no—
1423C23—61no—
1424C23—61no—
1425C23—61no—
1426C23—61no—
1427C23—61no—
1428C23—61no—
1429C23—61no—
1430C23—61no—
1431C23—61no—
1432C23—61no—
1433C23—61no—
1434C23—61no—
1435C23—61no—
1436C23—61no—
1437C23C24×D311yescharacteristic
1438Q8—124no—
1439Q8—242no—
1440D4—124no—
1441D4—124no—
1442D4—124no—
1443D4—124no—
1444D4—124no—
1445D4—124no—
1446D4—124no—
1447D4—124no—
1448D4—124no—
1449D4—242no—
1450D4—242no—
1451D4—242no—
1452D4—242no—
1453D4—242no—
1454D4—242no—
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—21no—
1478C2×C4—21no—
1479C2×C4—21no—
1480C2×C4—21no—
1481C2×C4—21no—
1482C2×C4—21no—
1483C2×C4—21no—
1484C2×C4—21no—
1485C2×C4—21no—
1486C2×C4—21no—
1487C2×C4—21no—
1488C2×C4—21no—
1489C2×C4—21no—
1490C2×C4—21no—
1491C2×C4—21no—
1492C2×C4—32no—
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—61no—
1516C2×C4—61no—
1517C2×C4—61no—
1518C2×C4—61no—
1519C2×C4—61no—
1520C2×C4—61no—
1521C2×C4—61no—
1522C2×C4—124no—
1523C2×C4—124no—
1524C2×C4—124no—
1525C2×C4—124no—
1526C2×C4—124no—
1527C2×C4—124no—
1528C2×C4—242no—
1529C2×C4—242no—
1530C2×C4—242no—
1531C2×C4—242no—
1532C2×C4C22×D1212yes—
1533C2×C4C22×D1212yes—
1534C2×C4C22×D1212yes—
1535C2×C4C22×D1212yes—
1536C2×C4C22×D1212yes—
1537C2×C4C22×D1212yes—
1538C2×C4C22×D1212yes—
1539C2×C4D3×#4112yes—
1540C2×C3#345911yescharacteristic
1541C2×C3D4×#4111yescharacteristic
1542C2×C3#348711yescharacteristic
1543C2×C3#348811yescharacteristic
1544C2×C3#352111yescharacteristic
1545C2×C3#356211yescharacteristic
1546C2×C3#356611yescharacteristic
1547D3—42no—
1548D3—42no—
1549D3—81no—
1550D3—81no—
1551D3—81no—
1552D3—81no—
1553C22—62no—
1554C22—62no—
1555C22—62no—
1556C22—62no—
1557C22—62no—
1558C22—62no—
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—
1575C22—121no—
1576C22—121no—
1577C22—121no—
1578C22—121no—
1579C22—121no—
1580C22—121no—
1581C22—121no—
1582C22—121no—
1583C22—121no—
1584C22—121no—
1585C22—121no—
1586C22—121no—
1587C22—121no—
1588C22—121no—
1589C22—121no—
1590C22—121no—
1591C22—121no—
1592C22—121no—
1593C22—121no—
1594C22—121no—
1595C22C23×D1211yescharacteristic
1596C22C2×D3×#4111yescharacteristic
1597C22#596411yescharacteristic
1598C22D3×H(5,𝔽2)11yescharacteristic
1599C22#596811yescharacteristic
1600C22#596811yescharacteristic
1601C22#596811yescharacteristic
1602C4—22no—
1603C4—22no—
1604C4—22no—
1605C4—22no—
1606C4—22no—
1607C4—22no—
1608C4—22no—
1609C4—22no—
1610C4—41no—
1611C4—41no—
1612C4—41no—
1613C4—41no—
1614C4—41no—
1615C4—41no—
1616C4—41no—
1617C4—62no—
1618C4—121no—
1619C4—121no—
1620C4—121no—
1621C4—121no—
1622C4—121no—
1623C4—121no—
1624C4—121no—
1625C4—121no—
1626C4—121no—
1627C3#3782911yescharacteristic, complemented, Sylow
1628C2—122no—
1629C2—122no—
1630C2—241no—
1631C2—241no—
1632C2—241no—
1633C2—241no—
1634C2#41×D1211yescharacteristic
1635C2#8587411yescharacteristic
1636C2#8590011yescharacteristic
1637C2#8642811yescharacteristic
1638C2#8644411yescharacteristic
1639C2#8650711yescharacteristic
1640C2#8651311yescharacteristic
subgroupG/H
center, FrattiniC23C24×D3
commutator, socle, cosocleC23×C3C25
FittingC3×#2336C2
hypercenter#2336D3
hypocenterC3#37829
LCSG ▷ C23×C3 ▷ C3
UCSC1 ◁ C23 ◁ #2336

Complements

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

NH ≅ G/Ntype
1. C2×#5692C2semidirect
2. C2×#5691C2semidirect
3. C3×#2336C2semidirect
4. #76260C2semidirect
5. #76210C2semidirect
6. #76209C2semidirect
7. #76114C2semidirect
8. #75394C2semidirect
9. #75387C2semidirect
10. #75387C2semidirect
11. #75332C2semidirect
12. #75327C2semidirect
13. #75327C2semidirect
14. #75325C2semidirect
15. #75323C2semidirect
16. #75323C2semidirect
17. #75160C2semidirect
18. #75152C2semidirect
19. #75152C2semidirect
20. #75020C2semidirect
21. #75012C2semidirect
22. #75005C2semidirect
23. #75001C2semidirect
24. #74317C2semidirect
25. #74309C2semidirect
26. #73816C2semidirect
27. #73805C2semidirect
28. #73803C2semidirect
29. #73774C2semidirect
30. C4×#895C2semidirect
31. #73653C2semidirect
219. #2336D3semidirect
248. C3×#125D4semidirect
810. #125D12semidirect
1627. C3#37829semidirect

Maximal subgroups

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

subgroupindex
C2×#56922
C2×#56912
C3×#23362
#762602
#762102
#762092
#761142
#753942
#753872
#753322
#753272
#753252
#753232
#751602
#751522
#750202
#750122
#750052
#750012
#743172
#743092
#738162
#738052
#738032
#737742
C4×#8952
#736532
#378293