Finite Group Databasebeta

← #11069769

Subgroups — #11069769

Order 768.

2280 conjugacy classes of subgroups.

The subgroup lattice has 1652 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#5710C211yesmaximal, characteristic, complemented
2C2×#5560C211yesmaximal, characteristic, complemented
3C3×#2636C211yesmaximal, characteristic, complemented
4#83104C211yesmaximal, characteristic, complemented
5C4×#936C211yesmaximal, characteristic, complemented
6#78366C211yesmaximal, characteristic, complemented
7#78346C211yesmaximal, characteristic, complemented
8#78117C211yesmaximal, characteristic, complemented
9#78038C211yesmaximal, characteristic, complemented
10#77437C211yesmaximal, characteristic, complemented
11#77417C211yesmaximal, characteristic, complemented
12#77371C211yesmaximal, characteristic, complemented
13#77287C211yesmaximal, characteristic, complemented
14#77147C211yesmaximal, characteristic, complemented
15#77139C211yesmaximal, characteristic, complemented
16#77113C211yesmaximal, characteristic, complemented
17#77043C211yesmaximal, characteristic, complemented
18#76926C211yesmaximal, characteristic, complemented
19#76901C211yesmaximal, characteristic, complemented
20#76772C211yesmaximal, characteristic, complemented
21#76690C211yesmaximal, characteristic, complemented
22#74881C211yesmaximal, characteristic, complemented
23#74757C211yesmaximal, characteristic, complemented
24#74727C211yesmaximal, characteristic, complemented
25#74719C211yesmaximal, characteristic, complemented
26#74595C211yesmaximal, characteristic, complemented
27#74476C211yesmaximal, characteristic, complemented
28#74438C211yesmaximal, characteristic, complemented
29#74434C211yesmaximal, characteristic, complemented
30#74246C211yesmaximal, characteristic, complemented
31#74149C211yesmaximal, characteristic, complemented
32#39390—31nomaximal, Sylow
33C2×C3×#126C2211yescharacteristic, complemented
34C2×C3×C4×D4C2211yescharacteristic
35C2×#939C2211yescharacteristic
36C2×#939C2211yescharacteristic
37C2×#938C2211yescharacteristic
38C2×#937C2211yescharacteristic
39C2×#937C2211yescharacteristic
40C2×#936C2211yescharacteristic
41C2×#930C2211yescharacteristic
42C2×#929C2211yescharacteristic
43C2×C4×#67C2211yescharacteristic
44C22×(C2×D3)⋊C4C2211yescharacteristic
45#5710—28no—
46#5560—28no—
47C2×#898C2211yescharacteristic
48C2×#898C2211yescharacteristic, complemented
49C2×#897C2211yescharacteristic, complemented
50C2×#896C2211yescharacteristic
51C2×#894C2211yescharacteristic
52C2×#894C2211yescharacteristic
53C2×#893C2211yescharacteristic
54C2×#892C2211yescharacteristic
55C2×#888C2211yescharacteristic, complemented
56C2×#887C2211yescharacteristic, complemented
57C2×#886C2211yescharacteristic
58C2×#885C2211yescharacteristic
59C2×#885C2211yescharacteristic
60C2×#885C2211yescharacteristic, complemented
61C2×#884C2211yescharacteristic
62C2×#884C2211yescharacteristic
63C2×#883C2211yescharacteristic, complemented
64C2×#882C2211yescharacteristic
65C2×#67⋊C4C2211yescharacteristic, complemented
66C2×D3×C22⋊C4C2211yescharacteristic
67C2×#878C2211yescharacteristic
68C2×#878C2211yescharacteristic
69C2×#878C2211yescharacteristic, complemented
70C2×#876C2211yescharacteristic
71C2×#875C2211yescharacteristic
72C2×C4×Dic6C2211yescharacteristic, complemented
73C3×#400C2211yescharacteristic, complemented
74C3×#399C2211yescharacteristic, complemented
75C3×#396C2211yescharacteristic
76C3×#396C2211yescharacteristic, complemented
77C3×#394C2211yescharacteristic
78C3×#394C2211yescharacteristic
79C3×#394C2211yescharacteristic, complemented
80C3×#392C2211yescharacteristic
81C3×#386C2211yescharacteristic
82C3×#386C2211yescharacteristic, complemented
83C3×#385C2211yescharacteristic
84C3×#385C2211yescharacteristic, complemented
85C3×#382C2211yescharacteristic, complemented
86#5223C2211yescharacteristic
87#5223C2211yescharacteristic, complemented
88#5221C2211yescharacteristic
89#5221C2211yescharacteristic, complemented
90#5220C2211yescharacteristic
91#5220C2211yescharacteristic
92C4×#217C2211yescharacteristic
93C4×#217C2211yescharacteristic
94C4×#217C2211yescharacteristic, complemented
95C4×#217C2211yescharacteristic, complemented
96#4994C2211yescharacteristic
97#4994C2211yescharacteristic
98#4992C2211yescharacteristic
99#4991C2211yescharacteristic
100#4990C2211yescharacteristic
101#4990C2211yescharacteristic
102#4990C2211yescharacteristic
103#4990C2211yescharacteristic
104#4989C2211yescharacteristic, complemented
105#4988C2211yescharacteristic
106#4987C2211yescharacteristic
107#4984C2211yescharacteristic, complemented
108#4981C2211yescharacteristic, complemented
109#4981C2211yescharacteristic, complemented
110#4980C2211yescharacteristic, complemented
111#4977C2211yescharacteristic, complemented
112#4976C2211yescharacteristic, complemented
113#4976C2211yescharacteristic, complemented
114#4976C2211yescharacteristic, complemented
115#4976C2211yescharacteristic, complemented
116#4973C2211yescharacteristic, complemented
117#4973C2211yescharacteristic, complemented
118#4961C2211yescharacteristic
119#4961C2211yescharacteristic
120#4961C2211yescharacteristic
121#4961C2211yescharacteristic, complemented
122#4960C2211yescharacteristic
123#4959C2211yescharacteristic
124#4959C2211yescharacteristic
125#4959C2211yescharacteristic
126#4959C2211yescharacteristic
127#4957C2211yescharacteristic
128#4957C2211yescharacteristic
129#4957C2211yescharacteristic
130#4957C2211yescharacteristic
131#4956C2211yescharacteristic
132#4956C2211yescharacteristic
133#4956C2211yescharacteristic
134#4956C2211yescharacteristic
135#4956C2211yescharacteristic, complemented
136#4956C2211yescharacteristic, complemented
137#4955C2211yescharacteristic
138#4955C2211yescharacteristic
139#4952C2211yescharacteristic
140#4952C2211yescharacteristic, complemented
141#4951C2211yescharacteristic, complemented
142#4950C2211yescharacteristic
143#4950C2211yescharacteristic, complemented
144#4948C2211yescharacteristic
145#4948C2211yescharacteristic, complemented
146#4947C2211yescharacteristic, complemented
147#4945C2211yescharacteristic
148#4945C2211yescharacteristic
149#4945C2211yescharacteristic, complemented
150#4945C2211yescharacteristic, complemented
151#4945C2211yescharacteristic, complemented
152#4945C2211yescharacteristic, complemented
153#4945C2211yescharacteristic, complemented
154#4944C2211yescharacteristic
155Dic3×C22⋊C4C2211yescharacteristic
156Dic3×C22⋊C4C2211yescharacteristic, complemented
157C42×Dic3C2211yescharacteristic, complemented
158#4675C2211yescharacteristic
159#4674C2211yescharacteristic
160#4674C2211yescharacteristic
161#4673C2211yescharacteristic
162#4673C2211yescharacteristic
163#4670C2211yescharacteristic
164#4670C2211yescharacteristic
165#4670C2211yescharacteristic
166#4669C2211yescharacteristic
167#4669C2211yescharacteristic
168#4669C2211yescharacteristic, complemented
169#4669C2211yescharacteristic, complemented
170#4668C2211yescharacteristic
171#4666C2211yescharacteristic
172#4666C2211yescharacteristic
173#4666C2211yescharacteristic, complemented
174#4666C2211yescharacteristic, complemented
175#4665C2211yescharacteristic
176#4665C2211yescharacteristic
177#4664C2211yescharacteristic
178#4664C2211yescharacteristic, complemented
179D3×#95C2211yescharacteristic, complemented
180#4661C2211yescharacteristic, complemented
181#4660C2211yescharacteristic, complemented
182#4660C2211yescharacteristic, complemented
183#4657C2211yescharacteristic, complemented
184#4656C2211yescharacteristic, complemented
185#4654C2211yescharacteristic, complemented
186#4653C2211yescharacteristic, complemented
187#4653C2211yescharacteristic, complemented
188#4647C2211yescharacteristic, complemented
189#4646C2211yescharacteristic, complemented
190C2×#542—31no—
191C2×#538—31no—
192#2860—31no—
193#2731—31no—
194#2728—31no—
195#2710—31no—
196#2699—31no—
197#2697—31no—
198#2689—31no—
199#2681—31no—
200#2678—31no—
201#2637—31no—
202#2636D311yescharacteristic, complemented
203#2559—31no—
204#2557—31no—
205#2555—31no—
206#2553—31no—
207#2488—31no—
208#2472—31no—
209#2472—31no—
210#2470—31no—
211#2466—31no—
212#2464—31no—
213#2429—31no—
214#2426—31no—
215#2425—31no—
216#2424—31no—
217#2364—31no—
218#2342—31no—
219C4×#124—31no—
220C4×#124—31no—
221C24×D3C2311yescharacteristic
222C22×C3×D4C2311yescharacteristic
223C22×C3×D4C2311yescharacteristic
224C22×C3×D4C2311yescharacteristic
225C23×C3×C4C2311yescharacteristic
226C23×C3×C4C2311yescharacteristic
227C22×#67C2311yescharacteristic
228C22×#67C2311yescharacteristic
229C22×#67C2311yescharacteristic
230C22×#67C2311yescharacteristic
231C22×#67C2311yescharacteristic
232C22×#67C2311yescharacteristic
233C22×#67C2311yescharacteristic
234C23×Dic3C2311yescharacteristic
235C23×Dic3C2311yescharacteristic
236C22×D12C2311yescharacteristic
237C22×D12C2311yescharacteristic
238C22×C4×D3C2311yescharacteristic
239C22×C4×D3C2311yescharacteristic
240C22×C4×D3C2311yescharacteristic
241C22×C4×D3C2311yescharacteristic
242C22×C4×D3C2311yescharacteristic
243C22×Dic6C2311yescharacteristic
244C22×Dic6C2311yescharacteristic
245C22×Dic6C2311yescharacteristic
246C3×#126—24no—
247C3×C4×D4—24no—
248C2×C3×C4⋊C4C2311yescharacteristic
249C2×C3×C4⋊C4C2311yescharacteristic
250C2×C3×C4⋊C4C2311yescharacteristic
251C2×C3×C4⋊C4C2311yescharacteristic
252C2×C3×C4⋊C4C2311yescharacteristic
253C2×C3×C4⋊C4C2311yescharacteristic
254C2×C3×C4⋊C4C2311yescharacteristic
255C2×C3×C4⋊C4C2311yescharacteristic
256C2×C3×C22⋊C4C2311yescharacteristic
257C2×C3×C22⋊C4C2311yescharacteristic
258C2×C3×C22⋊C4C2311yescharacteristic
259C2×C3×C22⋊C4C2311yescharacteristic
260C2×C3×C22⋊C4C2311yescharacteristic
261C2×C3×C22⋊C4C2311yescharacteristic
262C2×C3×C22⋊C4C2311yescharacteristic
263C2×C3×C22⋊C4C2311yescharacteristic
264C2×C3×C22⋊C4C2311yescharacteristic
265C2×C3×C22⋊C4C2311yescharacteristic
266C2×C3×C22⋊C4C2311yescharacteristic
267C2×C3×C22⋊C4C2311yescharacteristic
268C2×C3×C22⋊C4C2311yescharacteristic
269C2×C3×C42C2311yescharacteristic
270C2×#217C2311yescharacteristic
271C2×#217C2311yescharacteristic
272C2×#217C2311yescharacteristic
273C2×#217C2311yescharacteristic
274C2×#217C2311yescharacteristic
275C2×#217C2311yescharacteristic
276C2×#217C2311yescharacteristic
277C2×#217C2311yescharacteristic
278C2×#217C2311yescharacteristic
279C2×#217C2311yescharacteristic
280C2×#217C2311yescharacteristic
281C2×#217C2311yescharacteristic
282C2×#217C2311yescharacteristic
283C2×#217C2311yescharacteristic
284#939—24no—
285#939—42no—
286#938—24no—
287#937—24no—
288#937—42no—
289#936—24no—
290#930—24no—
291#929—24no—
292C4×#67—24no—
293C2×(C2×D3)⋊C4—24no—
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×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×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
348C2×C4×Dic3C2311yescharacteristic
349C2×C4×Dic3C2311yescharacteristic
350C2×C4×Dic3C2311yescharacteristic
351C2×C4×Dic3C2311yescharacteristic
352C2×C4×Dic3C2311yescharacteristic
353C2×C4×Dic3C2311yescharacteristic
354#898—24no—
355#898—24no—
356#897—24no—
357#896—24no—
358#894—24no—
359#894—24no—
360#893—42no—
361#892—24no—
362#888—24no—
363#887—42no—
364#886—24no—
365#885—24no—
366#885—24no—
367#885—24no—
368#884—24no—
369#884—24no—
370#883—42no—
371#882—24no—
372#67⋊C4—24no—
373D3×C22⋊C4—24no—
374#878—24no—
375#878—24no—
376#878—42no—
377#876—24no—
378#875D418yescomplemented
379C4×Dic6—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#542—68no—
415#538—68no—
416C2×C4⋊Q8—31no—
417C2×#126—31no—
418C2×#126—31no—
419C2×#126—31no—
420C2×#126C2×D311yescharacteristic, complemented
421C2×#124—31no—
422C2×#124—31no—
423C2×#124—31no—
424C2×#124—31no—
425C2×#124—31no—
426C2×#123—31no—
427C2×#123—31no—
428C2×#123—31no—
429C2×#123—31no—
430C2×#123—31no—
431C2×C22⋊Q8—31no—
432C2×C22⋊Q8—31no—
433C2×C22⋊Q8—31no—
434C2×C22⋊Q8—31no—
435C2×C22⋊Q8—31no—
436C2×#121—31no—
437C2×#121—31no—
438C2×#121—31no—
439C2×#121—31no—
440C2×#121—31no—
441C2×#121—31no—
442C2×#120—31no—
443C2×#120—31no—
444C2×#120—31no—
445C2×C4×Q8—31no—
446C2×C4×Q8—31no—
447C2×C4×D4—31no—
448C2×C4×D4—31no—
449C2×C4×D4—31no—
450C2×C4×D4C2×D311yescharacteristic
451C2×#117—31no—
452C22×C22⋊C4—31no—
453C22×C22⋊C4—31no—
454#400—31no—
455#400—31no—
456#400C2×D311yescharacteristic, complemented
457#399C2×D311yescharacteristic, complemented
458#398—31no—
459#398—31no—
460#398—31no—
461#398—31no—
462#397—31no—
463#397—31no—
464#397—31no—
465#397—31no—
466#397—31no—
467#397—31no—
468#396—31no—
469#396—31no—
470#396—31no—
471#396—31no—
472#396C2×D311yescharacteristic
473#396C2×D311yescharacteristic, complemented
474#395—31no—
475#394—31no—
476#394—31no—
477#394—31no—
478#394—31no—
479#394—31no—
480#394—31no—
481#394—31no—
482#394—31no—
483#394—31no—
484#394C2×D311yescharacteristic
485#394C2×D311yescharacteristic
486#394C2×D311yescharacteristic, complemented
487#393—31no—
488#393—31no—
489#393—31no—
490#392—31no—
491#392—31no—
492#392—31no—
493#392C2×D311yescharacteristic
494#391—31no—
495#391—31no—
496#391—31no—
497#390—31no—
498#390—31no—
499#390—31no—
500#390—31no—
501#390—31no—
502#390—31no—
503#390—31no—
504#389—31no—
505#389—31no—
506#389—31no—
507#389—31no—
508#389—31no—
509#389—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#388—31no—
526#388—31no—
527#388—31no—
528#388—31no—
529#388—31no—
530#387—31no—
531#387—31no—
532#387—31no—
533#387—31no—
534#386—31no—
535#386—31no—
536#386—31no—
537#386—31no—
538#386—31no—
539#386—31no—
540#386—31no—
541#386—31no—
542#386—31no—
543#386—31no—
544#386C2×D311yescharacteristic
545#386C2×D311yescharacteristic, complemented
546#385—31no—
547#385—31no—
548#385—31no—
549#385—31no—
550#385C2×D311yescharacteristic
551#385C2×D311yescharacteristic, complemented
552#382—31no—
553#382C2×D311yescharacteristic, complemented
554#381—31no—
555#381—31no—
556#380—31no—
557#379—31no—
558#379—31no—
559C4×C22⋊C4—31no—
560C4×C22⋊C4—31no—
561C4×C22⋊C4—31no—
562C4×C22⋊C4—31no—
563C4×C22⋊C4—31no—
564C4×C22⋊C4—31no—
565C4×C22⋊C4—31no—
566C4×C22⋊C4—31no—
567C4×C22⋊C4—31no—
568C4×C22⋊C4—31no—
569C2×#95—31no—
570C43—31no—
571C24×C3C2411yescharacteristic
572C24×C3C2411yescharacteristic
573C24×C3C2411yescharacteristic
574C23×D3—22no—
575C23×D3—22no—
576C23×D3—41no—
577C23×D3—41no—
578C23×D3—41no—
579C23×D3—41no—
580C23×D3—41no—
581C23×D3C2411yescharacteristic
582C23×D3C2411yescharacteristic
583C23×D3C2411yescharacteristic
584C2×C3×D4—22no—
585C2×C3×D4—22no—
586C2×C3×D4—22no—
587C2×C3×D4—41no—
588C2×C3×D4—41no—
589C2×C3×D4—41no—
590C2×C3×D4—41no—
591C2×C3×D4—41no—
592C2×C3×D4—41no—
593C22×C3×C4—22no—
594C22×C3×C4—22no—
595C22×C3×C4—41no—
596C22×C3×C4—41no—
597C22×C3×C4—41no—
598C22×C3×C4—41no—
599C22×C3×C4C2411yescharacteristic
600C22×C3×C4C2411yescharacteristic
601C22×C3×C4C2411yescharacteristic
602C22×C3×C4C2411yescharacteristic
603C22×C3×C4C2411yescharacteristic
604C22×C3×C4C2411yescharacteristic
605C22×C3×C4C2411yescharacteristic
606C22×C3×C4C2411yescharacteristic
607C22×C3×C4C2411yescharacteristic
608C22×C3×C4C2411yescharacteristic
609C22×C3×C4C2411yescharacteristic
610C22×C3×C4C2411yescharacteristic
611C2×#67—22no—
612C2×#67—22no—
613C2×#67—22no—
614C2×#67—22no—
615C2×#67—22no—
616C2×#67—22no—
617C2×#67—22no—
618C2×#67—22no—
619C2×#67—22no—
620C2×#67—41no—
621C2×#67—41no—
622C2×#67—41no—
623C2×#67—41no—
624C2×#67—41no—
625C2×#67—41no—
626C2×#67—41no—
627C2×#67—41no—
628C2×#67—41no—
629C2×#67—41no—
630C2×#67—41no—
631C2×#67—41no—
632C22×Dic3—22no—
633C22×Dic3—22no—
634C22×Dic3—41no—
635C22×Dic3—41no—
636C22×Dic3—41no—
637C22×Dic3—41no—
638C22×Dic3C2411yescharacteristic
639C22×Dic3C2411yescharacteristic
640C22×Dic3C2411yescharacteristic
641C22×Dic3C2411yescharacteristic
642C22×Dic3C2411yescharacteristic
643C22×Dic3C2411yescharacteristic
644C22×Dic3C2411yescharacteristic
645C22×Dic3C2411yescharacteristic
646C22×Dic3C2411yescharacteristic
647C22×Dic3C2411yescharacteristic
648C22×Dic3C2411yescharacteristic
649C22×Dic3C2411yescharacteristic
650C22×Dic3C2411yescharacteristic
651C2×D12—22no—
652C2×D12—41no—
653C2×D12—41no—
654C2×D12—41no—
655C2×D12—41no—
656C2×D12C2×D414yes—
657C2×C4×D3—22no—
658C2×C4×D3—22no—
659C2×C4×D3—22no—
660C2×C4×D3—22no—
661C2×C4×D3—22no—
662C2×C4×D3—22no—
663C2×C4×D3—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×Dic6—22no—
673C2×Dic6—22no—
674C2×Dic6—22no—
675C2×Dic6—41no—
676C2×Dic6—41no—
677C2×Dic6—41no—
678C2×Dic6—41no—
679C2×Dic6—41no—
680C2×Dic6C2×D414yes—
681C3×C4⋊C4—22no—
682C3×C4⋊C4—22no—
683C3×C4⋊C4—22no—
684C3×C4⋊C4—22no—
685C3×C4⋊C4—41no—
686C3×C4⋊C4—41no—
687C3×C4⋊C4—41no—
688C3×C4⋊C4—41no—
689C3×C22⋊C4—22no—
690C3×C22⋊C4—22no—
691C3×C22⋊C4—22no—
692C3×C22⋊C4—22no—
693C3×C22⋊C4—22no—
694C3×C22⋊C4—22no—
695C3×C22⋊C4—41no—
696C3×C22⋊C4—41no—
697C3×C22⋊C4—41no—
698C3×C22⋊C4—41no—
699C3×C22⋊C4—41no—
700C3×C22⋊C4—41no—
701C3×C22⋊C4—41no—
702C3×C42C2×D414yes—
703#217—22no—
704#217—22no—
705#217—22no—
706#217—22no—
707#217—22no—
708#217—22no—
709#217—22no—
710#217—22no—
711#217—22no—
712#217—41no—
713#217—41no—
714#217—41no—
715#217—41no—
716#217#4114yes—
717(C2×D3)⋊C4—22no—
718(C2×D3)⋊C4—22no—
719(C2×D3)⋊C4—22no—
720(C2×D3)⋊C4—22no—
721(C2×D3)⋊C4—22no—
722(C2×D3)⋊C4—22no—
723(C2×D3)⋊C4—22no—
724(C2×D3)⋊C4—22no—
725(C2×D3)⋊C4—22no—
726(C2×D3)⋊C4—22no—
727(C2×D3)⋊C4—22no—
728(C2×D3)⋊C4—22no—
729(C2×D3)⋊C4—22no—
730(C2×D3)⋊C4—22no—
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)⋊C4C2×D414yes—
741(C2×D3)⋊C4C2×D414yes—
742(C2×D3)⋊C4C2×D414yes—
743(C2×D3)⋊C4C2×D414yes—
744C4⋊Dic3—22no—
745C4⋊Dic3—22no—
746C4⋊Dic3—22no—
747C4⋊Dic3—22no—
748C4⋊Dic3—22no—
749C4⋊Dic3—41no—
750C4⋊Dic3—41no—
751C4⋊Dic3—41no—
752Dic3⋊C4—22no—
753Dic3⋊C4—22no—
754Dic3⋊C4—22no—
755Dic3⋊C4—22no—
756Dic3⋊C4—22no—
757Dic3⋊C4—22no—
758Dic3⋊C4—22no—
759Dic3⋊C4—22no—
760Dic3⋊C4—22no—
761Dic3⋊C4—22no—
762Dic3⋊C4—22no—
763Dic3⋊C4—41no—
764Dic3⋊C4—41no—
765C4×Dic3—22no—
766C4×Dic3—22no—
767C4×Dic3—22no—
768C4×Dic3—22no—
769C4×Dic3—22no—
770C4×Dic3—22no—
771C4×Dic3—41no—
772C4×Dic3—41no—
773C4×Dic3—41no—
774C4×Dic3—41no—
775C4×Dic3—41no—
776C4×Dic3—41no—
777C25—31no—
778C22×Q8—31no—
779C22×Q8—31no—
780C22×Q8—31no—
781C22×D4—31no—
782C22×D4—31no—
783C22×D4—31no—
784C22×D4—31no—
785C22×D4—31no—
786C22×D4—31no—
787C22×D4—31no—
788C22×D4—31no—
789C22×D4—31no—
790C22×D4C22×D311yescharacteristic
791C22×D4C22×D311yescharacteristic
792C22×D4C22×D311yescharacteristic
793C23×C4—31no—
794C23×C4—31no—
795C23×C4—31no—
796C23×C4—31no—
797C23×C4—31no—
798C23×C4—31no—
799C23×C4—31no—
800C23×C4C22×D311yescharacteristic
801C23×C4C22×D311yescharacteristic
802C4⋊Q8—64no—
803#126—24no—
804#126—64no—
805#126—64no—
806#126—64no—
807#124—38no—
808#124—64no—
809#124—64no—
810#124—64no—
811#124—64no—
812#123—64no—
813#123—64no—
814#123—64no—
815#123—64no—
816#123—122no—
817C22⋊Q8—64no—
818C22⋊Q8—64no—
819C22⋊Q8—64no—
820C22⋊Q8—64no—
821C22⋊Q8—122no—
822#121—64no—
823#121—64no—
824#121—64no—
825#121—64no—
826#121—64no—
827#121—122no—
828#120—64no—
829#120—64no—
830#120—122no—
831C4×Q8—64no—
832C4×Q8—122no—
833C4×D4—24no—
834C4×D4—64no—
835C4×D4—64no—
836C4×D4—122no—
837#117—64no—
838C2×C4⋊C4—31no—
839C2×C4⋊C4—31no—
840C2×C4⋊C4—31no—
841C2×C4⋊C4—31no—
842C2×C4⋊C4—31no—
843C2×C4⋊C4—31no—
844C2×C4⋊C4—31no—
845C2×C4⋊C4—31no—
846C2×C4⋊C4—31no—
847C2×C4⋊C4—31no—
848C2×C4⋊C4—31no—
849C2×C4⋊C4—31no—
850C2×C4⋊C4—31no—
851C2×C4⋊C4—31no—
852C2×C4⋊C4—31no—
853C2×C4⋊C4—31no—
854C2×C4⋊C4—31no—
855C2×C4⋊C4—31no—
856C2×C4⋊C4—31no—
857C2×C4⋊C4—31no—
858C2×C4⋊C4—31no—
859C2×C4⋊C4C22×D311yescharacteristic
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×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—64no—
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×C22⋊C4C22×D311yescharacteristic
917C2×C22⋊C4C22×D311yescharacteristic
918C2×C22⋊C4C22×D311yescharacteristic
919C2×C22⋊C4C22×D311yescharacteristic
920C2×C22⋊C4C22×D311yescharacteristic
921C2×C22⋊C4C22×D311yescharacteristic
922C2×C22⋊C4C22×D311yescharacteristic
923C2×C42—31no—
924C2×C42—31no—
925C2×C42—31no—
926C2×C42—31no—
927C2×C42—31no—
928C2×C42—31no—
929C2×C42—31no—
930C2×C42—31no—
931C2×C42—31no—
932C2×C42—31no—
933C2×C42—31no—
934C2×C42—31no—
935C2×C42C22×D311yescharacteristic
936#95—31no—
937#95—31no—
938#95—31no—
939#95—31no—
940#95—31no—
941#95—31no—
942#95—31no—
943#95—31no—
944#95—31no—
945#95—31no—
946#95—31no—
947#95—31no—
948#95—31no—
949#95—31no—
950#95—31no—
951#95—31no—
952#95—31no—
953#95—31no—
954#95—31no—
955#95—31no—
956#95—31no—
957#95—31no—
958#95—31no—
959#95—31no—
960#95—31no—
961#95—31no—
962#95C22×D311yescharacteristic
963#95C22×D311yescharacteristic
964#95C22×D311yescharacteristic
965#95C22×D311yescharacteristic
966#95C22×D311yescharacteristic
967#95C22×D311yescharacteristic
968#95C22×D311yescharacteristic
969#95C22×D311yescharacteristic
970C23×C3—21no—
971C23×C3—21no—
972C23×C3—21no—
973C23×C3—21no—
974C23×C3—21no—
975C23×C3—21no—
976C23×C3—21no—
977C23×C3—21no—
978C23×C3—21no—
979C23×C3—21no—
980C23×C3—21no—
981C23×C3—21no—
982C23×C3—21no—
983C23×C3—21no—
984C23×C3—21no—
985C23×C3—21no—
986C23×C3—21no—
987C23×C3—21no—
988C23×C3—21no—
989C23×C3—21no—
990C23×C3C2×#4112yes—
991C23×C3C2511yescharacteristic
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×D3—44no—
1012C22×D3—44no—
1013C22×D3—82no—
1014C22×D3—82no—
1015C22×D3—82no—
1016C22×D3—82no—
1017C22×D3—82no—
1018C22×D3C22×D412yes—
1019C22×D3C22×D412yes—
1020C3×D4—44no—
1021C3×D4—82no—
1022C3×D4—82no—
1023C2×C3×C4—21no—
1024C2×C3×C4—21no—
1025C2×C3×C4—21no—
1026C2×C3×C4—21no—
1027C2×C3×C4—21no—
1028C2×C3×C4—21no—
1029C2×C3×C4—21no—
1030C2×C3×C4—21no—
1031C2×C3×C4—21no—
1032C2×C3×C4—21no—
1033C2×C3×C4—21no—
1034C2×C3×C4—21no—
1035C2×C3×C4—21no—
1036C2×C3×C4—21no—
1037C2×C3×C4—21no—
1038C2×C3×C4—21no—
1039C2×C3×C4—21no—
1040C2×C3×C4—21no—
1041C2×C3×C4—21no—
1042C2×C3×C4—21no—
1043C2×C3×C4—21no—
1044C2×C3×C4—21no—
1045C2×C3×C4—21no—
1046C2×C3×C4—21no—
1047C2×C3×C4—21no—
1048C2×C3×C4—21no—
1049C2×C3×C4—21no—
1050C2×C3×C4—21no—
1051C2×C3×C4—21no—
1052C2×C3×C4—21no—
1053C2×C3×C4—21no—
1054C2×C3×C4—21no—
1055C2×C3×C4—21no—
1056C2×C3×C4—82no—
1057C2×C3×C4—82no—
1058C2×C3×C4C22×D412yes—
1059C2×C3×C4C22×D412yes—
1060C2×C3×C4C22×D412yes—
1061#67—44no—
1062#67—44no—
1063#67—82no—
1064#67—82no—
1065#67—82no—
1066#67—82no—
1067#67—82no—
1068C2×Dic3—21no—
1069C2×Dic3—21no—
1070C2×Dic3—21no—
1071C2×Dic3—21no—
1072C2×Dic3—21no—
1073C2×Dic3—21no—
1074C2×Dic3—21no—
1075C2×Dic3—21no—
1076C2×Dic3—21no—
1077C2×Dic3—21no—
1078C2×Dic3—21no—
1079C2×Dic3—21no—
1080C2×Dic3—21no—
1081C2×Dic3—21no—
1082C2×Dic3—21no—
1083C2×Dic3—21no—
1084C2×Dic3—21no—
1085C2×Dic3—21no—
1086C2×Dic3—21no—
1087C2×Dic3—21no—
1088C2×Dic3—21no—
1089C2×Dic3—21no—
1090C2×Dic3—21no—
1091C2×Dic3—21no—
1092C2×Dic3—21no—
1093C2×Dic3—21no—
1094C2×Dic3—21no—
1095C2×Dic3—21no—
1096C2×Dic3—21no—
1097C2×Dic3—21no—
1098C2×Dic3—21no—
1099C2×Dic3—21no—
1100C2×Dic3—21no—
1101C2×Dic3—21no—
1102C2×Dic3—82no—
1103C2×Dic3—82no—
1104C2×Dic3C22×D412yes—
1105C2×Dic3C22×D412yes—
1106C2×Dic3C2×#4112yes—
1107C2×Dic3C2×#4112yes—
1108C2×Dic3H(5,𝔽2)12yes—
1109D12—44no—
1110D12—82no—
1111C4×D3—44no—
1112C4×D3—82no—
1113C4×D3—82no—
1114C4×D3—82no—
1115C4×D3—82no—
1116Dic6—44no—
1117Dic6—44no—
1118Dic6—82no—
1119C24—31no—
1120C24—31no—
1121C24—31no—
1122C24—62no—
1123C24—62no—
1124C24—121no—
1125C24—121no—
1126C24—121no—
1127C24—121no—
1128C24—121no—
1129C24C23×D311yescharacteristic
1130C24C23×D311yescharacteristic
1131C24C23×D311yescharacteristic
1132C2×Q8—34no—
1133C2×Q8—62no—
1134C2×Q8—62no—
1135C2×Q8—62no—
1136C2×Q8—121no—
1137C2×Q8—121no—
1138C2×Q8—121no—
1139C2×Q8—121no—
1140C2×Q8—121no—
1141C2×D4—22no—
1142C2×D4—22no—
1143C2×D4—22no—
1144C2×D4—34no—
1145C2×D4—41no—
1146C2×D4—41no—
1147C2×D4—41no—
1148C2×D4—41no—
1149C2×D4—41no—
1150C2×D4—41no—
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—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—
1172C2×D4—121no—
1173C2×D4—121no—
1174C2×D4—121no—
1175C2×D4—121no—
1176C2×D4—121no—
1177C22×C4—22no—
1178C22×C4—22no—
1179C22×C4—31no—
1180C22×C4—31no—
1181C22×C4—31no—
1182C22×C4—31no—
1183C22×C4—31no—
1184C22×C4—31no—
1185C22×C4—31no—
1186C22×C4—31no—
1187C22×C4—31no—
1188C22×C4—31no—
1189C22×C4—31no—
1190C22×C4—31no—
1191C22×C4—31no—
1192C22×C4—41no—
1193C22×C4—41no—
1194C22×C4—41no—
1195C22×C4—41no—
1196C22×C4—62no—
1197C22×C4—62no—
1198C22×C4—62no—
1199C22×C4—62no—
1200C22×C4—62no—
1201C22×C4—62no—
1202C22×C4—62no—
1203C22×C4—62no—
1204C22×C4—121no—
1205C22×C4—121no—
1206C22×C4—121no—
1207C22×C4—121no—
1208C22×C4—121no—
1209C22×C4—121no—
1210C22×C4—121no—
1211C22×C4—121no—
1212C22×C4—121no—
1213C22×C4—121no—
1214C22×C4—121no—
1215C22×C4—121no—
1216C22×C4—121no—
1217C22×C4C23×D311yescharacteristic
1218C22×C4C23×D311yescharacteristic
1219C22×C4C23×D311yescharacteristic
1220C22×C4C23×D311yescharacteristic
1221C22×C4C23×D311yescharacteristic
1222C22×C4C23×D311yescharacteristic
1223C22×C4C23×D311yescharacteristic
1224C22×C4C23×D311yescharacteristic
1225C22×C4C23×D311yescharacteristic
1226C22×C4C23×D311yescharacteristic
1227C22×C4C23×D311yescharacteristic
1228C22×C4C23×D311yescharacteristic
1229C4⋊C4—22no—
1230C4⋊C4—22no—
1231C4⋊C4—22no—
1232C4⋊C4—22no—
1233C4⋊C4—41no—
1234C4⋊C4—41no—
1235C4⋊C4—41no—
1236C4⋊C4—41no—
1237C4⋊C4—62no—
1238C4⋊C4—62no—
1239C4⋊C4—62no—
1240C4⋊C4—62no—
1241C4⋊C4—62no—
1242C4⋊C4—62no—
1243C4⋊C4—62no—
1244C4⋊C4—62no—
1245C4⋊C4—62no—
1246C4⋊C4—62no—
1247C4⋊C4—62no—
1248C4⋊C4—62no—
1249C4⋊C4—62no—
1250C4⋊C4—62no—
1251C4⋊C4—62no—
1252C4⋊C4—62no—
1253C4⋊C4—121no—
1254C4⋊C4—121no—
1255C4⋊C4—121no—
1256C4⋊C4—121no—
1257C4⋊C4—121no—
1258C22⋊C4—22no—
1259C22⋊C4—22no—
1260C22⋊C4—22no—
1261C22⋊C4—22no—
1262C22⋊C4—22no—
1263C22⋊C4—22no—
1264C22⋊C4—34no—
1265C22⋊C4—34no—
1266C22⋊C4—34no—
1267C22⋊C4—34no—
1268C22⋊C4—34no—
1269C22⋊C4—41no—
1270C22⋊C4—41no—
1271C22⋊C4—41no—
1272C22⋊C4—41no—
1273C22⋊C4—41no—
1274C22⋊C4—41no—
1275C22⋊C4—41no—
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—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—121no—
1300C22⋊C4—121no—
1301C22⋊C4—121no—
1302C22⋊C4—121no—
1303C22⋊C4—121no—
1304C22⋊C4—121no—
1305C22⋊C4—121no—
1306C22⋊C4—121no—
1307C22⋊C4—121no—
1308C22⋊C4—121no—
1309C22⋊C4—121no—
1310C22⋊C4—121no—
1311C22⋊C4—121no—
1312C42—62no—
1313C42—62no—
1314C42—62no—
1315C42—62no—
1316C42—62no—
1317C42—62no—
1318C42—121no—
1319C42—121no—
1320C42—121no—
1321C42—121no—
1322C42—121no—
1323C42—121no—
1324C42D3×D414yes—
1325C22×C3—22no—
1326C22×C3—22no—
1327C22×C3—22no—
1328C22×C3—41no—
1329C22×C3—41no—
1330C22×C3—41no—
1331C22×C3—41no—
1332C22×C3—41no—
1333C22×C3—41no—
1334C22×C3—41no—
1335C22×C3—41no—
1336C22×C3—41no—
1337C22×C3—41no—
1338C22×C3—41no—
1339C22×C3—41no—
1340C22×C3—41no—
1341C22×C3—41no—
1342C22×C3—41no—
1343C22×C3—41no—
1344C22×C3—41no—
1345C22×C3—41no—
1346C22×C3C23×D411yescharacteristic
1347C22×C3C22×#4111yescharacteristic
1348C22×C3C2×H(5,𝔽2)11yescharacteristic
1349C22×C3#58511yescharacteristic
1350C22×C3#58511yescharacteristic
1351C22×C3#58511yescharacteristic
1352C22×C3#58511yescharacteristic
1353C2×D3—22no—
1354C2×D3—22no—
1355C2×D3—22no—
1356C2×D3—22no—
1357C2×D3—22no—
1358C2×D3—22no—
1359C2×D3—41no—
1360C2×D3—41no—
1361C2×D3—41no—
1362C2×D3—41no—
1363C2×D3—41no—
1364C2×D3—41no—
1365C2×D3—41no—
1366C2×D3—41no—
1367C2×D3—41no—
1368C2×D3—41no—
1369C2×D3—41no—
1370C2×D3—41no—
1371C2×D3—41no—
1372C2×D3—41no—
1373C2×D3—41no—
1374C2×D3—88no—
1375C3×C4—22no—
1376C3×C4—22no—
1377C3×C4—22no—
1378C3×C4—41no—
1379C3×C4—41no—
1380C3×C4—41no—
1381C3×C4—41no—
1382C3×C4—41no—
1383C3×C4—41no—
1384C3×C4—41no—
1385C3×C4—41no—
1386C3×C4—41no—
1387Dic3—22no—
1388Dic3—22no—
1389Dic3—22no—
1390Dic3—22no—
1391Dic3—22no—
1392Dic3—41no—
1393Dic3—41no—
1394Dic3—41no—
1395Dic3—41no—
1396Dic3—41no—
1397Dic3—41no—
1398Dic3—41no—
1399Dic3—41no—
1400C23—21no—
1401C23—21no—
1402C23—21no—
1403C23—21no—
1404C23—21no—
1405C23—21no—
1406C23—21no—
1407C23—21no—
1408C23—21no—
1409C23—21no—
1410C23—21no—
1411C23—21no—
1412C23—21no—
1413C23—21no—
1414C23—21no—
1415C23—21no—
1416C23—21no—
1417C23—21no—
1418C23—21no—
1419C23—21no—
1420C23—32no—
1421C23—32no—
1422C23—61no—
1423C23—61no—
1424C23—61no—
1425C23—61no—
1426C23—61no—
1427C23—61no—
1428C23—61no—
1429C23—61no—
1430C23—61no—
1431C23—61no—
1432C23—61no—
1433C23—61no—
1434C23—61no—
1435C23—61no—
1436C23—61no—
1437C23—61no—
1438C23—61no—
1439C23—61no—
1440C23—61no—
1441C23—124no—
1442C23—124no—
1443C23—242no—
1444C23—242no—
1445C23—242no—
1446C23—242no—
1447C23—242no—
1448C23D3×#4112yes—
1449C23C24×D311yescharacteristic
1450Q8—124no—
1451Q8—124no—
1452Q8—242no—
1453D4—44no—
1454D4—82no—
1455D4—82no—
1456D4—124no—
1457D4—124no—
1458D4—124no—
1459D4—242no—
1460D4—242no—
1461D4—242no—
1462D4—242no—
1463D4—242no—
1464D4—242no—
1465C2×C4—21no—
1466C2×C4—21no—
1467C2×C4—21no—
1468C2×C4—21no—
1469C2×C4—21no—
1470C2×C4—21no—
1471C2×C4—21no—
1472C2×C4—21no—
1473C2×C4—21no—
1474C2×C4—21no—
1475C2×C4—21no—
1476C2×C4—21no—
1477C2×C4—21no—
1478C2×C4—21no—
1479C2×C4—21no—
1480C2×C4—21no—
1481C2×C4—21no—
1482C2×C4—21no—
1483C2×C4—21no—
1484C2×C4—21no—
1485C2×C4—21no—
1486C2×C4—21no—
1487C2×C4—21no—
1488C2×C4—21no—
1489C2×C4—21no—
1490C2×C4—21no—
1491C2×C4—21no—
1492C2×C4—21no—
1493C2×C4—21no—
1494C2×C4—21no—
1495C2×C4—21no—
1496C2×C4—21no—
1497C2×C4—21no—
1498C2×C4—32no—
1499C2×C4—32no—
1500C2×C4—32no—
1501C2×C4—32no—
1502C2×C4—32no—
1503C2×C4—61no—
1504C2×C4—61no—
1505C2×C4—61no—
1506C2×C4—61no—
1507C2×C4—61no—
1508C2×C4—61no—
1509C2×C4—61no—
1510C2×C4—61no—
1511C2×C4—61no—
1512C2×C4—61no—
1513C2×C4—61no—
1514C2×C4—61no—
1515C2×C4—61no—
1516C2×C4—61no—
1517C2×C4—61no—
1518C2×C4—61no—
1519C2×C4—61no—
1520C2×C4—61no—
1521C2×C4—61no—
1522C2×C4—61no—
1523C2×C4—61no—
1524C2×C4—61no—
1525C2×C4—61no—
1526C2×C4—61no—
1527C2×C4—61no—
1528C2×C4—61no—
1529C2×C4—61no—
1530C2×C4—61no—
1531C2×C4—61no—
1532C2×C4—61no—
1533C2×C4—61no—
1534C2×C4—61no—
1535C2×C4—61no—
1536C2×C4—61no—
1537C2×C4—82no—
1538C2×C4—82no—
1539C2×C4—124no—
1540C2×C4—242no—
1541C2×C4—242no—
1542C2×C4—242no—
1543C2×C4—242no—
1544C2×C4—242no—
1545C2×C4—242no—
1546C2×C4C2×D3×D412yes—
1547C2×C4C2×D3×D412yes—
1548C2×C4C2×D3×D412yes—
1549C2×C3—42no—
1550C2×C3—81no—
1551C2×C3—81no—
1552C2×C3#345511yescharacteristic
1553C2×C3D4×#4111yescharacteristic
1554C2×C3#349611yescharacteristic
1555C2×C3#350011yescharacteristic
1556C2×C3#351411yescharacteristic
1557C2×C3#356011yescharacteristic
1558C2×C3#356611yescharacteristic
1559D3—42no—
1560D3—42no—
1561D3—81no—
1562C22—22no—
1563C22—22no—
1564C22—22no—
1565C22—41no—
1566C22—41no—
1567C22—41no—
1568C22—41no—
1569C22—41no—
1570C22—41no—
1571C22—41no—
1572C22—41no—
1573C22—41no—
1574C22—41no—
1575C22—41no—
1576C22—41no—
1577C22—41no—
1578C22—41no—
1579C22—41no—
1580C22—41no—
1581C22—41no—
1582C22—41no—
1583C22—62no—
1584C22—62no—
1585C22—62no—
1586C22—62no—
1587C22—62no—
1588C22—62no—
1589C22—121no—
1590C22—121no—
1591C22—121no—
1592C22—121no—
1593C22—121no—
1594C22—121no—
1595C22—121no—
1596C22—121no—
1597C22—121no—
1598C22—121no—
1599C22—121no—
1600C22—121no—
1601C22—121no—
1602C22—121no—
1603C22—121no—
1604C22—248no—
1605C22C22×D3×D411yescharacteristic
1606C22C2×D3×#4111yescharacteristic
1607C22#596411yescharacteristic
1608C22D3×H(5,𝔽2)11yescharacteristic
1609C22#596611yescharacteristic
1610C22#596611yescharacteristic
1611C22#596811yescharacteristic
1612C4—22no—
1613C4—22no—
1614C4—22no—
1615C4—41no—
1616C4—41no—
1617C4—41no—
1618C4—41no—
1619C4—41no—
1620C4—41no—
1621C4—41no—
1622C4—41no—
1623C4—41no—
1624C4—62no—
1625C4—62no—
1626C4—62no—
1627C4—62no—
1628C4—62no—
1629C4—121no—
1630C4—121no—
1631C4—121no—
1632C4—121no—
1633C4—121no—
1634C4—121no—
1635C4—121no—
1636C4—121no—
1637C3#3939011yescharacteristic, complemented, Sylow
1638C2—42no—
1639C2—81no—
1640C2—81no—
1641C2—122no—
1642C2—122no—
1643C2—241no—
1644C2#8603711yescharacteristic
1645C2#8631711yescharacteristic
1646C2#8638211yescharacteristic
1647C2#8639211yescharacteristic
1648C2#8642611yescharacteristic
1649C2#8642711yescharacteristic
1650C2#8645011yescharacteristic
subgroupG/H
center, FrattiniC23C24×D3
commutator, socle, cosocleC23×C3C25
FittingC3×#2636C2
hypercenter#2636D3
hypocenterC3#39390
LCSG ▷ C23×C3 ▷ C3
UCSC1 ◁ C23 ◁ #2636

Complements

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

NH ≅ G/Ntype
1. C2×#5710C2semidirect
2. C2×#5560C2semidirect
3. C3×#2636C2semidirect
4. #83104C2semidirect
5. C4×#936C2semidirect
6. #78366C2semidirect
7. #78346C2semidirect
8. #78117C2semidirect
9. #78038C2semidirect
10. #77437C2semidirect
11. #77417C2semidirect
12. #77371C2semidirect
13. #77287C2semidirect
14. #77147C2semidirect
15. #77139C2semidirect
16. #77113C2semidirect
17. #77043C2semidirect
18. #76926C2semidirect
19. #76901C2semidirect
20. #76772C2semidirect
21. #76690C2semidirect
22. #74881C2semidirect
23. #74757C2semidirect
24. #74727C2semidirect
25. #74719C2semidirect
26. #74595C2semidirect
27. #74476C2semidirect
28. #74438C2semidirect
29. #74434C2semidirect
30. #74246C2semidirect
31. #74149C2semidirect
33. C2×C3×#126C22semidirect
48. C2×#898C22semidirect
49. C2×#897C22semidirect
55. C2×#888C22semidirect
56. C2×#887C22semidirect
60. C2×#885C22semidirect
63. C2×#883C22semidirect
65. C2×#67⋊C4C22semidirect
69. C2×#878C22semidirect
72. C2×C4×Dic6C22semidirect
73. C3×#400C22semidirect
74. C3×#399C22semidirect
76. C3×#396C22semidirect
79. C3×#394C22semidirect
82. C3×#386C22semidirect
84. C3×#385C22semidirect
85. C3×#382C22semidirect
87. #5223C22semidirect
89. #5221C22semidirect
94. C4×#217C22semidirect
95. C4×#217C22semidirect
104. #4989C22semidirect
107. #4984C22semidirect
108. #4981C22semidirect
109. #4981C22semidirect
110. #4980C22semidirect
111. #4977C22semidirect
112. #4976C22semidirect
113. #4976C22semidirect
114. #4976C22semidirect
115. #4976C22semidirect
116. #4973C22semidirect
117. #4973C22semidirect
121. #4961C22semidirect
135. #4956C22semidirect
136. #4956C22semidirect
140. #4952C22semidirect
141. #4951C22semidirect
143. #4950C22semidirect
145. #4948C22semidirect
146. #4947C22semidirect
149. #4945C22semidirect
150. #4945C22semidirect
151. #4945C22semidirect
152. #4945C22semidirect
153. #4945C22semidirect
156. Dic3×C22⋊C4C22semidirect
157. C42×Dic3C22semidirect
168. #4669C22semidirect
169. #4669C22semidirect
173. #4666C22semidirect
174. #4666C22semidirect
178. #4664C22semidirect
179. D3×#95C22semidirect
180. #4661C22semidirect
181. #4660C22semidirect
182. #4660C22semidirect
183. #4657C22semidirect
184. #4656C22semidirect
185. #4654C22semidirect
186. #4653C22semidirect
187. #4653C22semidirect
188. #4647C22semidirect
189. #4646C22semidirect
202. #2636D3semidirect
378. #875D4semidirect
420. C2×#126C2×D3semidirect
456. #400C2×D3semidirect
457. #399C2×D3semidirect
473. #396C2×D3semidirect
486. #394C2×D3semidirect
545. #386C2×D3semidirect
551. #385C2×D3semidirect
553. #382C2×D3semidirect
1637. C3#39390semidirect

Maximal subgroups

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

subgroupindex
C2×#57102
C2×#55602
C3×#26362
#831042
C4×#9362
#783662
#783462
#781172
#780382
#774372
#774172
#773712
#772872
#771472
#771392
#771132
#770432
#769262
#769012
#767722
#766902
#748812
#747572
#747272
#747192
#745952
#744762
#744382
#744342
#742462
#741492
#393903