Finite Group Databasebeta

← #11069759

Subgroups — #11069759

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×#5613C211yesmaximal, characteristic, complemented
2C2×#5603C211yesmaximal, characteristic, complemented
3C3×#2699C211yesmaximal, characteristic, complemented
4#82706C211yesmaximal, characteristic, complemented
5#82645C211yesmaximal, characteristic, complemented
6#77824C211yesmaximal, characteristic, complemented
7#77744C211yesmaximal, characteristic, complemented
8#77005C211yesmaximal, characteristic, complemented
9#76981C211yesmaximal, characteristic, complemented
10#76951C211yesmaximal, characteristic, complemented
11#76947C211yesmaximal, characteristic, complemented
12#76926C211yesmaximal, characteristic, complemented
13#76901C211yesmaximal, characteristic, complemented
14#76771C211yesmaximal, characteristic, complemented
15#76691C211yesmaximal, characteristic, complemented
16#76690C211yesmaximal, characteristic, complemented
17#76682C211yesmaximal, characteristic, complemented
18#76469C211yesmaximal, characteristic, complemented
19#76292C211yesmaximal, characteristic, complemented
20#75820C211yesmaximal, characteristic, complemented
21#75711C211yesmaximal, characteristic, complemented
22#75705C211yesmaximal, characteristic, complemented
23#75454C211yesmaximal, characteristic, complemented
24#74821C211yesmaximal, characteristic, complemented
25#74728C211yesmaximal, characteristic, complemented
26#74723C211yesmaximal, characteristic, complemented
27#74678C211yesmaximal, characteristic, complemented
28#74122C211yesmaximal, characteristic, complemented
29#74095C211yesmaximal, characteristic, complemented
30#74076C211yesmaximal, characteristic, complemented
31#74071C211yesmaximal, characteristic, complemented
32#39390—31nomaximal, Sylow
33C2×C3×#121C2211yescharacteristic
34C2×C3×#121C2211yescharacteristic
35C2×#939C2211yescharacteristic
36C2×#939C2211yescharacteristic
37C2×#939C2211yescharacteristic
38C2×#938C2211yescharacteristic
39C2×#937C2211yescharacteristic
40C2×#937C2211yescharacteristic
41C2×#937C2211yescharacteristic
42C2×#936C2211yescharacteristic
43C2×#936C2211yescharacteristic
44C2×#936C2211yescharacteristic, complemented
45C2×#935C2211yescharacteristic
46C2×#935C2211yescharacteristic
47C2×#935C2211yescharacteristic
48C2×#935C2211yescharacteristic, complemented
49C2×D4×Dic3C2211yescharacteristic
50C2×D4×Dic3C2211yescharacteristic, complemented
51C2×#929C2211yescharacteristic
52C2×C4×#67C2211yescharacteristic
53C22×(C2×D3)⋊C4C2211yescharacteristic
54C2×#926C2211yescharacteristic
55C2×#924C2211yescharacteristic
56#5613—28no—
57#5603—28no—
58C2×#898C2211yescharacteristic
59C2×#896C2211yescharacteristic
60C2×#896C2211yescharacteristic
61C2×#888C2211yescharacteristic, complemented
62C2×#887C2211yescharacteristic, complemented
63C2×#887C2211yescharacteristic, complemented
64C2×#885C2211yescharacteristic
65C2×#885C2211yescharacteristic
66C2×#67⋊C4C2211yescharacteristic
67C2×D3×C22⋊C4C2211yescharacteristic
68C2×#879C2211yescharacteristic
69C2×#879C2211yescharacteristic, complemented
70C2×#879C2211yescharacteristic, complemented
71C2×#878C2211yescharacteristic, complemented
72C2×#878C2211yescharacteristic, complemented
73C3×#398C2211yescharacteristic, complemented
74C3×#394C2211yescharacteristic
75C3×#394C2211yescharacteristic, complemented
76C3×#394C2211yescharacteristic, complemented
77C3×#392C2211yescharacteristic
78C3×#392C2211yescharacteristic, complemented
79C3×#390C2211yescharacteristic
80C3×#388C2211yescharacteristic, complemented
81C3×#388C2211yescharacteristic, complemented
82C3×#386C2211yescharacteristic
83C3×#386C2211yescharacteristic, complemented
84C3×#381C2211yescharacteristic
85C3×#381C2211yescharacteristic, complemented
86#5223C2211yescharacteristic
87#5223C2211yescharacteristic
88#5222C2211yescharacteristic
89#5221C2211yescharacteristic, complemented
90#5220C2211yescharacteristic
91#5220C2211yescharacteristic
92#5220C2211yescharacteristic, complemented
93#5220C2211yescharacteristic, complemented
94#5210C2211yescharacteristic
95#5210C2211yescharacteristic, complemented
96C2×C3⋊#95C2211yescharacteristic, complemented
97#4994C2211yescharacteristic
98#4994C2211yescharacteristic
99#4994C2211yescharacteristic
100#4990C2211yescharacteristic
101#4990C2211yescharacteristic
102#4982C2211yescharacteristic, complemented
103#4982C2211yescharacteristic, complemented
104#4977C2211yescharacteristic, complemented
105#4976C2211yescharacteristic, complemented
106#4972C2211yescharacteristic, complemented
107#4961C2211yescharacteristic
108#4961C2211yescharacteristic
109#4961C2211yescharacteristic
110#4961C2211yescharacteristic
111#4959C2211yescharacteristic
112#4959C2211yescharacteristic
113#4959C2211yescharacteristic
114#4959C2211yescharacteristic
115#4958C2211yescharacteristic
116#4958C2211yescharacteristic
117#4958C2211yescharacteristic
118#4958C2211yescharacteristic
119#4957C2211yescharacteristic
120#4957C2211yescharacteristic
121#4957C2211yescharacteristic
122#4957C2211yescharacteristic
123#4957C2211yescharacteristic
124#4956C2211yescharacteristic
125#4956C2211yescharacteristic
126#4955C2211yescharacteristic
127#4955C2211yescharacteristic
128#4953C2211yescharacteristic
129#4953C2211yescharacteristic
130#4952C2211yescharacteristic
131#4952C2211yescharacteristic, complemented
132#4951C2211yescharacteristic, complemented
133#4950C2211yescharacteristic, complemented
134#4949C2211yescharacteristic, complemented
135#4948C2211yescharacteristic, complemented
136#4948C2211yescharacteristic, complemented
137#4947C2211yescharacteristic, complemented
138#4946C2211yescharacteristic, complemented
139#4945C2211yescharacteristic, complemented
140#4945C2211yescharacteristic, complemented
141#4944C2211yescharacteristic
142#4944C2211yescharacteristic
143#4944C2211yescharacteristic, complemented
144#4944C2211yescharacteristic, complemented
145#4944C2211yescharacteristic, complemented
146#4942C2211yescharacteristic
147Dic3×C22⋊C4C2211yescharacteristic
148Dic3×C22⋊C4C2211yescharacteristic
149Dic3×C22⋊C4C2211yescharacteristic, complemented
150Dic3×C22⋊C4C2211yescharacteristic, complemented
151Dic3×C22⋊C4C2211yescharacteristic, complemented
152Dic3×C22⋊C4C2211yescharacteristic, complemented
153Dic3×C22⋊C4C2211yescharacteristic, complemented
154#4940C2211yescharacteristic
155#4940C2211yescharacteristic
156C42×Dic3C2211yescharacteristic, complemented
157#4929C2211yescharacteristic, complemented
158#4676C2211yescharacteristic
159#4675C2211yescharacteristic
160#4675C2211yescharacteristic
161#4673C2211yescharacteristic
162#4673C2211yescharacteristic
163#4670C2211yescharacteristic
164#4670C2211yescharacteristic
165#4670C2211yescharacteristic
166#4669C2211yescharacteristic
167#4669C2211yescharacteristic
168#4669C2211yescharacteristic
169#4668C2211yescharacteristic
170#4668C2211yescharacteristic
171#4666C2211yescharacteristic
172#4666C2211yescharacteristic
173#4666C2211yescharacteristic
174#4660C2211yescharacteristic, complemented
175#4658C2211yescharacteristic, complemented
176#4658C2211yescharacteristic, complemented
177#4657C2211yescharacteristic, complemented
178#4656C2211yescharacteristic, complemented
179#4655C2211yescharacteristic, complemented
180#4654C2211yescharacteristic, complemented
181#4652C2211yescharacteristic, complemented
182#4652C2211yescharacteristic, complemented
183#4650C2211yescharacteristic, complemented
184#4647C2211yescharacteristic, complemented
185#4647C2211yescharacteristic, complemented
186#4647C2211yescharacteristic, complemented
187#4647C2211yescharacteristic, complemented
188#4646C2211yescharacteristic, complemented
189#4646C2211yescharacteristic, complemented
190C2×#542—31no—
191C2×#538—31no—
192#2860—31no—
193#2731—31no—
194#2728—31no—
195#2710—31no—
196#2699D311yescharacteristic, complemented
197#2697—31no—
198#2689—31no—
199#2681—31no—
200#2678—31no—
201#2637—31no—
202#2636—31no—
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
225C22×C3×D4C2311yescharacteristic
226C22×C3×D4C2311yescharacteristic
227C22×C3×D4C2311yescharacteristic
228C23×C3×C4C2311yescharacteristic
229C23×C3×C4C2311yescharacteristic
230C22×#67C2311yescharacteristic
231C22×#67C2311yescharacteristic
232C22×#67C2311yescharacteristic
233C22×#67C2311yescharacteristic
234C22×#67C2311yescharacteristic
235C22×#67C2311yescharacteristic
236C23×Dic3C2311yescharacteristic
237C23×Dic3C2311yescharacteristic
238C23×Dic3C2311yescharacteristic
239C23×Dic3C2311yescharacteristic
240C23×Dic3C2311yescharacteristic
241C22×C4×D3C2311yescharacteristic
242C22×C4×D3C2311yescharacteristic
243C22×Dic6C2311yescharacteristic
244C22×Dic6C2311yescharacteristic
245C22×Dic6C2311yescharacteristic
246C3×#121—24no—
247C3×#121—24no—
248C2×C3×C4⋊C4C2311yescharacteristic
249C2×C3×C4⋊C4C2311yescharacteristic
250C2×C3×C4⋊C4C2311yescharacteristic
251C2×C3×C4⋊C4C2311yescharacteristic
252C2×C3×C22⋊C4C2311yescharacteristic
253C2×C3×C22⋊C4C2311yescharacteristic
254C2×C3×C22⋊C4C2311yescharacteristic
255C2×C3×C22⋊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×C42C2311yescharacteristic
267C2×#217C2311yescharacteristic
268C2×#217C2311yescharacteristic
269C2×#217C2311yescharacteristic
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
284C2×#217C2311yescharacteristic
285C2×#217C2311yescharacteristic
286C2×#217C2311yescharacteristic
287#939—24no—
288#939—24no—
289#939—42no—
290#938—24no—
291#937—24no—
292#937—24no—
293#937—42no—
294#936—24no—
295#936—24no—
296#936D418yescomplemented
297#935—24no—
298#935—24no—
299#935—24no—
300#935—42no—
301D4×Dic3—24no—
302D4×Dic3—42no—
303#929—24no—
304C4×#67—24no—
305C2×(C2×D3)⋊C4—24no—
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
326#926—24no—
327C2×C4⋊Dic3C2311yescharacteristic
328C2×C4⋊Dic3C2311yescharacteristic
329C2×C4⋊Dic3C2311yescharacteristic
330C2×C4⋊Dic3C2311yescharacteristic
331C2×C4⋊Dic3C2311yescharacteristic
332C2×C4⋊Dic3C2311yescharacteristic
333C2×C4⋊Dic3C2311yescharacteristic
334#924—24no—
335C2×Dic3⋊C4C2311yescharacteristic
336C2×Dic3⋊C4C2311yescharacteristic
337C2×Dic3⋊C4C2311yescharacteristic
338C2×Dic3⋊C4C2311yescharacteristic
339C2×Dic3⋊C4C2311yescharacteristic
340C2×Dic3⋊C4C2311yescharacteristic
341C2×Dic3⋊C4C2311yescharacteristic
342C2×Dic3⋊C4C2311yescharacteristic
343C2×Dic3⋊C4C2311yescharacteristic
344C2×Dic3⋊C4C2311yescharacteristic
345C2×Dic3⋊C4C2311yescharacteristic
346C2×Dic3⋊C4C2311yescharacteristic
347C2×Dic3⋊C4C2311yescharacteristic
348C2×Dic3⋊C4C2311yescharacteristic
349C2×Dic3⋊C4C2311yescharacteristic
350C2×Dic3⋊C4C2311yescharacteristic
351C2×Dic3⋊C4C2311yescharacteristic
352C2×Dic3⋊C4C2311yescharacteristic
353C2×C4×Dic3C2311yescharacteristic
354C2×C4×Dic3C2311yescharacteristic
355C2×C4×Dic3C2311yescharacteristic
356C2×C4×Dic3C2311yescharacteristic
357C2×C4×Dic3C2311yescharacteristic
358C2×C4×Dic3C2311yescharacteristic
359C2×C4×Dic3C2311yescharacteristic
360C2×C4×Dic3C2311yescharacteristic
361C2×C4×Dic3C2311yescharacteristic
362C2×C4×Dic3C2311yescharacteristic
363C2×C4×Dic3C2311yescharacteristic
364C2×C4×Dic3C2311yescharacteristic
365#898—24no—
366#896—24no—
367#896—42no—
368#888—24no—
369#887—24no—
370#887—42no—
371#885—24no—
372#885—24no—
373#67⋊C4—24no—
374D3×C22⋊C4—24no—
375#879—24no—
376#879—24no—
377#879—24no—
378#878—24no—
379#878—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×#126—31no—
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×#121C2×D311yescharacteristic
441C2×#121C2×D311yescharacteristic
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×D4—31no—
451C2×#117—31no—
452C22×C22⋊C4—31no—
453C22×C22⋊C4—31no—
454#400—31no—
455#400—31no—
456#400—31no—
457#399—31no—
458#398—31no—
459#398—31no—
460#398—31no—
461#398C2×D311yescharacteristic, complemented
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#396—31no—
473#396—31no—
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, complemented
486#394C2×D311yescharacteristic, complemented
487#393—31no—
488#393—31no—
489#393—31no—
490#392—31no—
491#392—31no—
492#392C2×D311yescharacteristic
493#392C2×D311yescharacteristic, complemented
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#390C2×D311yescharacteristic
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#388C2×D311yescharacteristic, complemented
529#388C2×D311yescharacteristic, complemented
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#385—31no—
551#385—31no—
552#382—31no—
553#382—31no—
554#381C2×D311yescharacteristic
555#381C2×D311yescharacteristic, complemented
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
574C24×C3C2411yescharacteristic
575C23×D3—22no—
576C23×D3—22no—
577C23×D3—41no—
578C23×D3—41no—
579C23×D3—41no—
580C23×D3—41no—
581C23×D3—41no—
582C23×D3C2411yescharacteristic
583C23×D3C2411yescharacteristic
584C2×C3×D4—22no—
585C2×C3×D4—22no—
586C2×C3×D4—22no—
587C2×C3×D4—22no—
588C2×C3×D4—22no—
589C2×C3×D4—41no—
590C2×C3×D4—41no—
591C2×C3×D4—41no—
592C2×C3×D4—41no—
593C2×C3×D4—41no—
594C2×C3×D4—41no—
595C2×C3×D4—41no—
596C2×C3×D4—41no—
597C2×C3×D4—41no—
598C2×C3×D4—41no—
599C2×C3×D4—41no—
600C2×C3×D4—41no—
601C2×C3×D4C2×D414yes—
602C22×C3×C4—22no—
603C22×C3×C4—22no—
604C22×C3×C4—22no—
605C22×C3×C4—41no—
606C22×C3×C4—41no—
607C22×C3×C4—41no—
608C22×C3×C4C2411yescharacteristic
609C22×C3×C4C2411yescharacteristic
610C22×C3×C4C2411yescharacteristic
611C22×C3×C4C2411yescharacteristic
612C22×C3×C4C2411yescharacteristic
613C22×C3×C4C2411yescharacteristic
614C22×C3×C4C2411yescharacteristic
615C22×C3×C4C2411yescharacteristic
616C22×C3×C4C2411yescharacteristic
617C22×C3×C4C2411yescharacteristic
618C22×C3×C4C2411yescharacteristic
619C2×#67—22no—
620C2×#67—22no—
621C2×#67—22no—
622C2×#67—22no—
623C2×#67—22no—
624C2×#67—22no—
625C2×#67—22no—
626C2×#67—22no—
627C2×#67—41no—
628C2×#67—41no—
629C2×#67—41no—
630C2×#67—41no—
631C2×#67—41no—
632C2×#67—41no—
633C2×#67—41no—
634C2×#67—41no—
635C2×#67—41no—
636C2×#67—41no—
637C22×Dic3—22no—
638C22×Dic3—22no—
639C22×Dic3—22no—
640C22×Dic3—22no—
641C22×Dic3—22no—
642C22×Dic3—41no—
643C22×Dic3—41no—
644C22×Dic3—41no—
645C22×Dic3—41no—
646C22×Dic3—41no—
647C22×Dic3—41no—
648C22×Dic3—41no—
649C22×Dic3—41no—
650C22×Dic3—41no—
651C22×Dic3—41no—
652C22×Dic3C2411yescharacteristic
653C22×Dic3C2411yescharacteristic
654C22×Dic3C2411yescharacteristic
655C22×Dic3C2411yescharacteristic
656C22×Dic3C2411yescharacteristic
657C22×Dic3C2411yescharacteristic
658C22×Dic3C2411yescharacteristic
659C22×Dic3C2411yescharacteristic
660C22×Dic3C2411yescharacteristic
661C22×Dic3C2411yescharacteristic
662C22×Dic3C2411yescharacteristic
663C22×Dic3C2411yescharacteristic
664C22×Dic3C2411yescharacteristic
665C22×Dic3C2411yescharacteristic
666C2×C4×D3—22no—
667C2×C4×D3—22no—
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—41no—
684C3×C4⋊C4—41no—
685C3×C22⋊C4—22no—
686C3×C22⋊C4—22no—
687C3×C22⋊C4—22no—
688C3×C22⋊C4—22no—
689C3×C22⋊C4—22no—
690C3×C22⋊C4—41no—
691C3×C22⋊C4—41no—
692C3×C22⋊C4—41no—
693C3×C22⋊C4—41no—
694C3×C22⋊C4—41no—
695C3×C22⋊C4—41no—
696C3×C22⋊C4—41no—
697C3×C22⋊C4—41no—
698C3×C22⋊C4—41no—
699C3×C42—41no—
700#217—22no—
701#217—22no—
702#217—22no—
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—22no—
713#217—41no—
714#217—41no—
715#217—41no—
716#217C2×D414yes—
717#217C2×D414yes—
718#217C2×D414yes—
719#217C2×D414yes—
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#4114yes—
740C4⋊Dic3—22no—
741C4⋊Dic3—22no—
742C4⋊Dic3—22no—
743C4⋊Dic3—22no—
744C4⋊Dic3—41no—
745C4⋊Dic3—41no—
746C4⋊Dic3—41no—
747Dic3⋊C4—22no—
748Dic3⋊C4—22no—
749Dic3⋊C4—22no—
750Dic3⋊C4—22no—
751Dic3⋊C4—22no—
752Dic3⋊C4—22no—
753Dic3⋊C4—22no—
754Dic3⋊C4—22no—
755Dic3⋊C4—22no—
756Dic3⋊C4—22no—
757Dic3⋊C4—22no—
758Dic3⋊C4—22no—
759Dic3⋊C4—22no—
760Dic3⋊C4—22no—
761Dic3⋊C4—41no—
762Dic3⋊C4—41no—
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×Dic3C2×D414yes—
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×D4C22×D311yescharacteristic
788C22×D4C22×D311yescharacteristic
789C22×D4C22×D311yescharacteristic
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—64no—
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—24no—
823#121—24no—
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—64no—
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⋊C4—31no—
860C2×C4⋊C4—31no—
861C2×C4⋊C4—31no—
862C2×C4⋊C4—31no—
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—64no—
908C2×C22⋊C4—64no—
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×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×C3—21no—
991C23×C3—21no—
992C23×C3—21no—
993C23×C3—21no—
994C23×C3—21no—
995C23×C3—21no—
996C23×C3C22×D412yes—
997C23×C3C22×D412yes—
998C23×C3C2511yescharacteristic
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—21no—
1012C22×D3—44no—
1013C22×D3—44no—
1014C22×D3—82no—
1015C22×D3—82no—
1016C22×D3—82no—
1017C22×D3—82no—
1018C22×D3—82no—
1019C22×D3C2×#4112yes—
1020C3×D4—44no—
1021C3×D4—44no—
1022C3×D4—82no—
1023C3×D4—82no—
1024C3×D4—82no—
1025C3×D4—82no—
1026C2×C3×C4—21no—
1027C2×C3×C4—21no—
1028C2×C3×C4—21no—
1029C2×C3×C4—21no—
1030C2×C3×C4—21no—
1031C2×C3×C4—21no—
1032C2×C3×C4—21no—
1033C2×C3×C4—21no—
1034C2×C3×C4—21no—
1035C2×C3×C4—21no—
1036C2×C3×C4—21no—
1037C2×C3×C4—21no—
1038C2×C3×C4—21no—
1039C2×C3×C4—21no—
1040C2×C3×C4—21no—
1041C2×C3×C4—21no—
1042C2×C3×C4—21no—
1043C2×C3×C4—21no—
1044C2×C3×C4—21no—
1045C2×C3×C4—21no—
1046C2×C3×C4—21no—
1047C2×C3×C4—21no—
1048C2×C3×C4—21no—
1049C2×C3×C4—21no—
1050C2×C3×C4—21no—
1051C2×C3×C4—21no—
1052C2×C3×C4—21no—
1053C2×C3×C4—21no—
1054C2×C3×C4—21no—
1055C2×C3×C4—21no—
1056C2×C3×C4—21no—
1057C2×C3×C4—44no—
1058C2×C3×C4—82no—
1059C2×C3×C4C22×D412yes—
1060C2×C3×C4C2×#4112yes—
1061#67—44no—
1062#67—44no—
1063#67—82no—
1064#67—82no—
1065#67—82no—
1066#67—82no—
1067C2×Dic3—21no—
1068C2×Dic3—21no—
1069C2×Dic3—21no—
1070C2×Dic3—21no—
1071C2×Dic3—21no—
1072C2×Dic3—21no—
1073C2×Dic3—21no—
1074C2×Dic3—21no—
1075C2×Dic3—21no—
1076C2×Dic3—21no—
1077C2×Dic3—21no—
1078C2×Dic3—21no—
1079C2×Dic3—21no—
1080C2×Dic3—21no—
1081C2×Dic3—21no—
1082C2×Dic3—21no—
1083C2×Dic3—21no—
1084C2×Dic3—21no—
1085C2×Dic3—21no—
1086C2×Dic3—21no—
1087C2×Dic3—21no—
1088C2×Dic3—21no—
1089C2×Dic3—21no—
1090C2×Dic3—21no—
1091C2×Dic3—21no—
1092C2×Dic3—21no—
1093C2×Dic3—21no—
1094C2×Dic3—21no—
1095C2×Dic3—21no—
1096C2×Dic3—21no—
1097C2×Dic3—21no—
1098C2×Dic3—21no—
1099C2×Dic3—21no—
1100C2×Dic3—21no—
1101C2×Dic3—21no—
1102C2×Dic3—21no—
1103C2×Dic3—82no—
1104C2×Dic3—82no—
1105C2×Dic3—82no—
1106C2×Dic3—82no—
1107C2×Dic3—82no—
1108C2×Dic3C22×D412yes—
1109C2×Dic3C22×D412yes—
1110C2×Dic3C22×D412yes—
1111C2×Dic3C22×D412yes—
1112C2×Dic3C2×#4112yes—
1113C2×Dic3H(5,𝔽2)12yes—
1114C4×D3—82no—
1115C4×D3—82no—
1116Dic6—44no—
1117Dic6—44no—
1118Dic6—82no—
1119C24—31no—
1120C24—31no—
1121C24—62no—
1122C24—62no—
1123C24—121no—
1124C24—121no—
1125C24—121no—
1126C24—121no—
1127C24—121no—
1128C24C23×D311yescharacteristic
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—22no—
1145C2×D4—22no—
1146C2×D4—41no—
1147C2×D4—41no—
1148C2×D4—41no—
1149C2×D4—41no—
1150C2×D4—41no—
1151C2×D4—41no—
1152C2×D4—41no—
1153C2×D4—41no—
1154C2×D4—41no—
1155C2×D4—41no—
1156C2×D4—41no—
1157C2×D4—41no—
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×D4D3×D414yes—
1177C22×C4—22no—
1178C22×C4—22no—
1179C22×C4—22no—
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—31no—
1193C22×C4—31no—
1194C22×C4—41no—
1195C22×C4—41no—
1196C22×C4—41no—
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×C4—121no—
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—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—62no—
1249C4⋊C4—62no—
1250C4⋊C4—62no—
1251C4⋊C4—121no—
1252C4⋊C4—121no—
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—34no—
1264C22⋊C4—34no—
1265C22⋊C4—34no—
1266C22⋊C4—34no—
1267C22⋊C4—34no—
1268C22⋊C4—41no—
1269C22⋊C4—41no—
1270C22⋊C4—41no—
1271C22⋊C4—41no—
1272C22⋊C4—41no—
1273C22⋊C4—41no—
1274C22⋊C4—41no—
1275C22⋊C4—41no—
1276C22⋊C4—41no—
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—62no—
1300C22⋊C4—62no—
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—34no—
1313C42—41no—
1314C42—62no—
1315C42—62no—
1316C42—62no—
1317C42—62no—
1318C42—62no—
1319C42—62no—
1320C42—121no—
1321C42—121no—
1322C42—121no—
1323C42—121no—
1324C42—121no—
1325C22×C3—22no—
1326C22×C3—22no—
1327C22×C3—22no—
1328C22×C3—22no—
1329C22×C3—22no—
1330C22×C3—22no—
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×C3—41no—
1347C22×C3—41no—
1348C22×C3—41no—
1349C22×C3—41no—
1350C22×C3—41no—
1351C22×C3—41no—
1352C22×C3—41no—
1353C22×C3C23×D411yescharacteristic
1354C22×C3C22×#4111yescharacteristic
1355C22×C3C2×H(5,𝔽2)11yescharacteristic
1356C22×C3#58511yescharacteristic
1357C22×C3#58511yescharacteristic
1358C22×C3#58511yescharacteristic
1359C22×C3#58511yescharacteristic
1360C2×D3—22no—
1361C2×D3—22no—
1362C2×D3—22no—
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—41no—
1378C3×C4—41no—
1379C3×C4—41no—
1380C3×C4—41no—
1381C3×C4—41no—
1382C3×C4—41no—
1383C3×C4—41no—
1384C3×C4—41no—
1385C3×C4—41no—
1386Dic3—22no—
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—21no—
1421C23—21no—
1422C23—21no—
1423C23—21no—
1424C23—21no—
1425C23—21no—
1426C23—32no—
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—124no—
1441C23—124no—
1442C23—242no—
1443C23—242no—
1444C23—242no—
1445C23—242no—
1446C23—242no—
1447C23C2×D3×D412yes—
1448C23C2×D3×D412yes—
1449C23C24×D311yescharacteristic
1450Q8—124no—
1451Q8—124no—
1452Q8—242no—
1453D4—44no—
1454D4—44no—
1455D4—82no—
1456D4—82no—
1457D4—82no—
1458D4—82no—
1459D4—124no—
1460D4—124no—
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—32no—
1497C2×C4—32no—
1498C2×C4—32no—
1499C2×C4—32no—
1500C2×C4—32no—
1501C2×C4—32no—
1502C2×C4—44no—
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—61no—
1538C2×C4—61no—
1539C2×C4—82no—
1540C2×C4—242no—
1541C2×C4—242no—
1542C2×C4—242no—
1543C2×C4—242no—
1544C2×C4—242no—
1545C2×C4—242no—
1546C2×C4—242no—
1547C2×C4C2×D3×D412yes—
1548C2×C4D3×#4112yes—
1549C2×C3—42no—
1550C2×C3—42no—
1551C2×C3—81no—
1552C2×C3—81no—
1553C2×C3#345511yescharacteristic
1554C2×C3D4×#4111yescharacteristic
1555C2×C3#349611yescharacteristic
1556C2×C3#350011yescharacteristic
1557C2×C3#351411yescharacteristic
1558C2×C3#356011yescharacteristic
1559C2×C3#356611yescharacteristic
1560D3—42no—
1561D3—81no—
1562C22—22no—
1563C22—22no—
1564C22—22no—
1565C22—22no—
1566C22—22no—
1567C22—22no—
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—41no—
1584C22—41no—
1585C22—41no—
1586C22—41no—
1587C22—41no—
1588C22—41no—
1589C22—41no—
1590C22—62no—
1591C22—62no—
1592C22—62no—
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#596611yescharacteristic
1612C4—22no—
1613C4—22no—
1614C4—41no—
1615C4—41no—
1616C4—41no—
1617C4—41no—
1618C4—41no—
1619C4—41no—
1620C4—41no—
1621C4—41no—
1622C4—41no—
1623C4—62no—
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—42no—
1640C2—81no—
1641C2—81no—
1642C2—122no—
1643C2—241no—
1644C2#8629811yescharacteristic
1645C2#8646711yescharacteristic
1646C2#8648211yescharacteristic
1647C2#8662611yescharacteristic
1648C2#8663211yescharacteristic
1649C2#8696211yescharacteristic
1650C2#8708411yescharacteristic
subgroupG/H
center, FrattiniC23C24×D3
commutator, socle, cosocleC23×C3C25
FittingC3×#2699C2
hypercenter#2699D3
hypocenterC3#39390
LCSG ▷ C23×C3 ▷ C3
UCSC1 ◁ C23 ◁ #2699

Complements

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

NH ≅ G/Ntype
1. C2×#5613C2semidirect
2. C2×#5603C2semidirect
3. C3×#2699C2semidirect
4. #82706C2semidirect
5. #82645C2semidirect
6. #77824C2semidirect
7. #77744C2semidirect
8. #77005C2semidirect
9. #76981C2semidirect
10. #76951C2semidirect
11. #76947C2semidirect
12. #76926C2semidirect
13. #76901C2semidirect
14. #76771C2semidirect
15. #76691C2semidirect
16. #76690C2semidirect
17. #76682C2semidirect
18. #76469C2semidirect
19. #76292C2semidirect
20. #75820C2semidirect
21. #75711C2semidirect
22. #75705C2semidirect
23. #75454C2semidirect
24. #74821C2semidirect
25. #74728C2semidirect
26. #74723C2semidirect
27. #74678C2semidirect
28. #74122C2semidirect
29. #74095C2semidirect
30. #74076C2semidirect
31. #74071C2semidirect
44. C2×#936C22semidirect
48. C2×#935C22semidirect
50. C2×D4×Dic3C22semidirect
61. C2×#888C22semidirect
62. C2×#887C22semidirect
63. C2×#887C22semidirect
69. C2×#879C22semidirect
70. C2×#879C22semidirect
71. C2×#878C22semidirect
72. C2×#878C22semidirect
73. C3×#398C22semidirect
75. C3×#394C22semidirect
76. C3×#394C22semidirect
78. C3×#392C22semidirect
80. C3×#388C22semidirect
81. C3×#388C22semidirect
83. C3×#386C22semidirect
85. C3×#381C22semidirect
89. #5221C22semidirect
92. #5220C22semidirect
93. #5220C22semidirect
95. #5210C22semidirect
96. C2×C3⋊#95C22semidirect
102. #4982C22semidirect
103. #4982C22semidirect
104. #4977C22semidirect
105. #4976C22semidirect
106. #4972C22semidirect
131. #4952C22semidirect
132. #4951C22semidirect
133. #4950C22semidirect
134. #4949C22semidirect
135. #4948C22semidirect
136. #4948C22semidirect
137. #4947C22semidirect
138. #4946C22semidirect
139. #4945C22semidirect
140. #4945C22semidirect
143. #4944C22semidirect
144. #4944C22semidirect
145. #4944C22semidirect
149. Dic3×C22⋊C4C22semidirect
150. Dic3×C22⋊C4C22semidirect
151. Dic3×C22⋊C4C22semidirect
152. Dic3×C22⋊C4C22semidirect
153. Dic3×C22⋊C4C22semidirect
156. C42×Dic3C22semidirect
157. #4929C22semidirect
174. #4660C22semidirect
175. #4658C22semidirect
176. #4658C22semidirect
177. #4657C22semidirect
178. #4656C22semidirect
179. #4655C22semidirect
180. #4654C22semidirect
181. #4652C22semidirect
182. #4652C22semidirect
183. #4650C22semidirect
184. #4647C22semidirect
185. #4647C22semidirect
186. #4647C22semidirect
187. #4647C22semidirect
188. #4646C22semidirect
189. #4646C22semidirect
196. #2699D3semidirect
296. #936D4semidirect
461. #398C2×D3semidirect
485. #394C2×D3semidirect
486. #394C2×D3semidirect
493. #392C2×D3semidirect
528. #388C2×D3semidirect
529. #388C2×D3semidirect
545. #386C2×D3semidirect
555. #381C2×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×#56132
C2×#56032
C3×#26992
#827062
#826452
#778242
#777442
#770052
#769812
#769512
#769472
#769262
#769012
#767712
#766912
#766902
#766822
#764692
#762922
#758202
#757112
#757052
#754542
#748212
#747282
#747232
#746782
#741222
#740952
#740762
#740712
#393903