Finite Group Databasebeta

← #11024321

Subgroups — #11024321

Order 768.

2566 conjugacy classes of subgroups.

The subgroup lattice has 1694 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#5602C211yesmaximal, characteristic, complemented
2C2×#5586C211yesmaximal, characteristic, complemented
3C3×#2424C211yesmaximal, characteristic, complemented
4#82681C211yesmaximal, characteristic, complemented
5#82651C211yesmaximal, characteristic, complemented
6#82645C211yesmaximal, characteristic, complemented
7#82602C211yesmaximal, characteristic, complemented
8#82587C211yesmaximal, characteristic, complemented
9#82585C211yesmaximal, characteristic, complemented
10#82330C211yesmaximal, characteristic, complemented
11#82326C211yesmaximal, characteristic, complemented
12#82111C211yesmaximal, characteristic, complemented
13C2×#4942C211yesmaximal, characteristic, complemented
14#77352C211yesmaximal, characteristic, complemented
15#77291C211yesmaximal, characteristic, complemented
16#77023C211yesmaximal, characteristic, complemented
17#77000C211yesmaximal, characteristic, complemented
18#76923C211yesmaximal, characteristic, complemented
19#76902C211yesmaximal, characteristic, complemented
20#76722C211yesmaximal, characteristic, complemented
21#76678C211yesmaximal, characteristic, complemented
22#76382C211yesmaximal, characteristic, complemented
23#76328C211yesmaximal, characteristic, complemented
24#75673C211yesmaximal, characteristic, complemented
25#75510C211yesmaximal, characteristic, complemented
26#74800C211yesmaximal, characteristic, complemented
27#74781C211yesmaximal, characteristic, complemented
28#74712C211yesmaximal, characteristic, complemented
29#74675C211yesmaximal, characteristic, complemented
30#74620C211yesmaximal, characteristic, complemented
31#74414C211yesmaximal, characteristic, complemented
32#37666—31nomaximal, Sylow
33C24×Dic3C2211yescharacteristic
34C22×#237C2211yescharacteristic
35C2×C3×#121C2211yescharacteristic
36C2×C3×#121C2211yescharacteristic
37C2×C3×#120C2211yescharacteristic
38C2×C3×#120C2211yescharacteristic
39C2×C3×C4×D4C2211yescharacteristic
40C22×C3×C22⋊C4C2211yescharacteristic
41C2×#953C2211yescharacteristic
42C22×#217C2211yescharacteristic
43C2×#939C2211yescharacteristic
44C2×#939C2211yescharacteristic
45C2×#939C2211yescharacteristic
46C2×#939C2211yescharacteristic
47C2×#935C2211yescharacteristic
48C2×#935C2211yescharacteristic
49C2×#935C2211yescharacteristic
50C2×#935C2211yescharacteristic
51C2×#935C2211yescharacteristic, complemented
52C2×#935C2211yescharacteristic, complemented
53C2×D4×Dic3C2211yescharacteristic
54C2×D4×Dic3C2211yescharacteristic
55C2×D4×Dic3C2211yescharacteristic
56C2×D4×Dic3C2211yescharacteristic
57C2×#924C2211yescharacteristic
58C22×Dic3⋊C4C2211yescharacteristic
59C22×Dic3⋊C4C2211yescharacteristic
60#5602—28no—
61#5586—28no—
62C2×#889C2211yescharacteristic, complemented
63C2×#889C2211yescharacteristic, complemented
64C2×#886C2211yescharacteristic
65C2×#885C2211yescharacteristic
66C2×#67⋊C4C2211yescharacteristic
67C2×#67⋊C4C2211yescharacteristic
68C2×#879C2211yescharacteristic, complemented
69C2×#879C2211yescharacteristic, complemented
70C2×#878C2211yescharacteristic
71C2×#878C2211yescharacteristic
72C2×#878C2211yescharacteristic, complemented
73C2×#878C2211yescharacteristic, complemented
74C2×#877C2211yescharacteristic
75C3×#396C2211yescharacteristic
76C3×#394C2211yescharacteristic
77C3×#394C2211yescharacteristic
78C3×#392C2211yescharacteristic
79C3×#390C2211yescharacteristic
80C3×#388C2211yescharacteristic
81C3×#386C2211yescharacteristic
82C3×#386C2211yescharacteristic
83C3×#385C2211yescharacteristic
84#5247C2211yescharacteristic
85#5223C2211yescharacteristic
86#5223C2211yescharacteristic, complemented
87#5222C2211yescharacteristic
88#5222C2211yescharacteristic
89#5222C2211yescharacteristic
90#5220C2211yescharacteristic
91#5220C2211yescharacteristic
92#5220C2211yescharacteristic
93#5220C2211yescharacteristic
94#5220C2211yescharacteristic
95#5220C2211yescharacteristic
96#5220C2211yescharacteristic
97#5220C2211yescharacteristic, complemented
98#5213C2211yescharacteristic
99#5213C2211yescharacteristic
100#5213C2211yescharacteristic, complemented
101#5210C2211yescharacteristic, complemented
102#5210C2211yescharacteristic, complemented
103C4×#217C2211yescharacteristic
104C2×C3⋊#95C2211yescharacteristic
105C2×C3⋊#95C2211yescharacteristic
106C2×C3⋊#95C2211yescharacteristic, complemented
107#4993C2211yescharacteristic, complemented
108#4993C2211yescharacteristic, complemented
109#4989C2211yescharacteristic, complemented
110#4987C2211yescharacteristic, complemented
111#4983C2211yescharacteristic, complemented
112#4982C2211yescharacteristic, complemented
113#4982C2211yescharacteristic, complemented
114#4980C2211yescharacteristic, complemented
115#4979C2211yescharacteristic, complemented
116#4979C2211yescharacteristic, complemented
117#4976C2211yescharacteristic, complemented
118#4976C2211yescharacteristic, complemented
119#4976C2211yescharacteristic, complemented
120#4973C2211yescharacteristic, complemented
121#4961C2211yescharacteristic
122#4961C2211yescharacteristic
123#4959C2211yescharacteristic
124#4959C2211yescharacteristic, complemented
125#4959C2211yescharacteristic, complemented
126#4959C2211yescharacteristic, complemented
127#4958C2211yescharacteristic
128#4958C2211yescharacteristic, complemented
129#4957C2211yescharacteristic
130#4957C2211yescharacteristic
131#4956C2211yescharacteristic, complemented
132#4953C2211yescharacteristic
133#4952C2211yescharacteristic
134#4951C2211yescharacteristic
135#4949C2211yescharacteristic
136#4948C2211yescharacteristic
137#4948C2211yescharacteristic, complemented
138#4948C2211yescharacteristic, complemented
139#4947C2211yescharacteristic
140#4947C2211yescharacteristic, complemented
141#4946C2211yescharacteristic
142#4946C2211yescharacteristic
143#4946C2211yescharacteristic
144#4946C2211yescharacteristic
145#4946C2211yescharacteristic
146#4946C2211yescharacteristic
147#4946C2211yescharacteristic, complemented
148#4946C2211yescharacteristic, complemented
149#4945C2211yescharacteristic
150#4945C2211yescharacteristic, complemented
151#4945C2211yescharacteristic, complemented
152#4945C2211yescharacteristic, complemented
153#4944C2211yescharacteristic
154#4944C2211yescharacteristic
155#4944C2211yescharacteristic
156#4944C2211yescharacteristic, complemented
157#4943C2211yescharacteristic
158#4943C2211yescharacteristic
159#4943C2211yescharacteristic, complemented
160#4942C2211yescharacteristic
161#4942C2211yescharacteristic
162#4942C2211yescharacteristic
163#4942C2211yescharacteristic
164#4942C2211yescharacteristic
165#4942C2211yescharacteristic
166#4942C2211yescharacteristic
167#4942C2211yescharacteristic
168#4942C2211yescharacteristic
169Dic3×C22⋊C4C2211yescharacteristic, complemented
170C4×(C2×D3)⋊C4C2211yescharacteristic, complemented
171#4933C2211yescharacteristic, complemented
172#4933C2211yescharacteristic, complemented
173#4929C2211yescharacteristic, complemented
174#4676C2211yescharacteristic, complemented
175#4676C2211yescharacteristic, complemented
176#4675C2211yescharacteristic, complemented
177#4675C2211yescharacteristic, complemented
178#4660C2211yescharacteristic, complemented
179#4660C2211yescharacteristic, complemented
180#4658C2211yescharacteristic, complemented
181#4657C2211yescharacteristic, complemented
182#4657C2211yescharacteristic, complemented
183#4657C2211yescharacteristic, complemented
184#4655C2211yescharacteristic, complemented
185#4652C2211yescharacteristic, complemented
186#4652C2211yescharacteristic, complemented
187#4649C2211yescharacteristic, complemented
188#4647C2211yescharacteristic, complemented
189#4646C2211yescharacteristic, complemented
190C2×#539—31no—
191C2×#525—31no—
192#2849—31no—
193#2704—31no—
194#2703—31no—
195#2702—31no—
196#2692—31no—
197#2691—31no—
198#2690—31no—
199#2672—31no—
200#2671—31no—
201#2623—31no—
202#2618—31no—
203#2472—31no—
204#2468—31no—
205#2467—31no—
206#2460—31no—
207#2457—31no—
208#2454—31no—
209#2450—31no—
210#2438—31no—
211#2430—31no—
212#2427—31no—
213#2425—31no—
214#2424—31no—
215#2424D311yescharacteristic, complemented
216#2418—31no—
217#2359—31no—
218#2339—31no—
219#2322—31no—
220C2×#380—31no—
221C25×C3C2311yescharacteristic
222C22×C3×D4C2311yescharacteristic
223C22×C3×D4C2311yescharacteristic
224C22×C3×D4C2311yescharacteristic
225C22×C3×D4C2311yescharacteristic
226C22×C3×D4C2311yescharacteristic
227C22×C3×D4C2311yescharacteristic
228C22×C3×D4C2311yescharacteristic
229C23×C3×C4C2311yescharacteristic
230C23×C3×C4C2311yescharacteristic
231C23×C3×C4C2311yescharacteristic
232C22×#67C2311yescharacteristic
233C22×#67C2311yescharacteristic
234C22×#67C2311yescharacteristic
235C22×#67C2311yescharacteristic
236C22×#67C2311yescharacteristic
237C23×Dic3—24no—
238C23×Dic3—24no—
239C23×Dic3—42no—
240C23×Dic3C2311yescharacteristic
241C23×Dic3C2311yescharacteristic
242C23×Dic3C2311yescharacteristic
243C23×Dic3C2311yescharacteristic
244C23×Dic3C2311yescharacteristic
245C23×Dic3C2311yescharacteristic
246C23×Dic3C2311yescharacteristic
247C23×Dic3C2311yescharacteristic
248C23×Dic3C2311yescharacteristic
249C23×Dic3C2311yescharacteristic
250C23×Dic3C2311yescharacteristic
251C2×#237—24no—
252C2×#237—24no—
253C2×#237—42no—
254C22×C4×D3C2311yescharacteristic
255C22×Dic6C2311yescharacteristic
256C22×Dic6C2311yescharacteristic
257C3×#121—24no—
258C3×#121—42no—
259C3×#120—24no—
260C3×#120—42no—
261C3×C4×D4—42no—
262C2×C3×C4⋊C4C2311yescharacteristic
263C2×C3×C4⋊C4C2311yescharacteristic
264C2×C3×C4⋊C4C2311yescharacteristic
265C2×C3×C4⋊C4C2311yescharacteristic
266C2×C3×C22⋊C4—42no—
267C2×C3×C22⋊C4C2311yescharacteristic
268C2×C3×C22⋊C4C2311yescharacteristic
269C2×C3×C22⋊C4C2311yescharacteristic
270C2×C3×C22⋊C4C2311yescharacteristic
271C2×C3×C22⋊C4C2311yescharacteristic
272C2×C3×C22⋊C4C2311yescharacteristic
273C2×C3×C22⋊C4C2311yescharacteristic
274C2×C3×C22⋊C4C2311yescharacteristic
275C2×C3×C22⋊C4C2311yescharacteristic
276C2×C3×C22⋊C4C2311yescharacteristic
277C2×C3×C22⋊C4C2311yescharacteristic
278C2×C3×C22⋊C4C2311yescharacteristic
279C2×C3×C22⋊C4C2311yescharacteristic
280C2×C3×C22⋊C4C2311yescharacteristic
281C2×C3×C22⋊C4C2311yescharacteristic
282C2×C3×C42C2311yescharacteristic
283#953—24no—
284C2×#217—42no—
285C2×#217C2311yescharacteristic
286C2×#217C2311yescharacteristic
287C2×#217C2311yescharacteristic
288C2×#217C2311yescharacteristic
289C2×#217C2311yescharacteristic
290C2×#217C2311yescharacteristic
291C2×#217C2311yescharacteristic
292C2×#217C2311yescharacteristic
293C2×#217C2311yescharacteristic
294C2×#217C2311yescharacteristic
295C2×#217C2311yescharacteristic
296C2×#217C2311yescharacteristic
297C2×#217C2311yescharacteristic
298C2×#217C2311yescharacteristic
299C2×#217C2311yescharacteristic
300C2×#217C2311yescharacteristic
301C2×#217C2311yescharacteristic
302C2×#217C2311yescharacteristic
303C2×#217C2311yescharacteristic
304C2×#217C2311yescharacteristic
305C2×#217C2311yescharacteristic
306C2×#217C2311yescharacteristic
307C2×#217C2311yescharacteristic
308C2×#217C2311yescharacteristic
309#939—24no—
310#939—24no—
311#939—42no—
312#939—42no—
313#935—24no—
314#935—24no—
315#935—24no—
316#935—24no—
317#935—42no—
318#935D418yescomplemented
319D4×Dic3—24no—
320D4×Dic3—24no—
321D4×Dic3—24no—
322D4×Dic3—24no—
323C2×(C2×D3)⋊C4C2311yescharacteristic
324C2×(C2×D3)⋊C4C2311yescharacteristic
325C2×(C2×D3)⋊C4C2311yescharacteristic
326C2×(C2×D3)⋊C4C2311yescharacteristic
327C2×(C2×D3)⋊C4C2311yescharacteristic
328C2×(C2×D3)⋊C4C2311yescharacteristic
329C2×(C2×D3)⋊C4C2311yescharacteristic
330C2×(C2×D3)⋊C4C2311yescharacteristic
331C2×(C2×D3)⋊C4C2311yescharacteristic
332C2×C4⋊Dic3C2311yescharacteristic
333C2×C4⋊Dic3C2311yescharacteristic
334C2×C4⋊Dic3C2311yescharacteristic
335C2×C4⋊Dic3C2311yescharacteristic
336C2×C4⋊Dic3C2311yescharacteristic
337#924—24no—
338C2×Dic3⋊C4—24no—
339C2×Dic3⋊C4—42no—
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×Dic3⋊C4C2311yescharacteristic
354C2×Dic3⋊C4C2311yescharacteristic
355C2×Dic3⋊C4C2311yescharacteristic
356C2×Dic3⋊C4C2311yescharacteristic
357C2×Dic3⋊C4C2311yescharacteristic
358C2×Dic3⋊C4C2311yescharacteristic
359C2×Dic3⋊C4C2311yescharacteristic
360C2×Dic3⋊C4C2311yescharacteristic
361C2×Dic3⋊C4C2311yescharacteristic
362C2×Dic3⋊C4C2311yescharacteristic
363C2×Dic3⋊C4C2311yescharacteristic
364C2×Dic3⋊C4C2311yescharacteristic
365C2×C4×Dic3C2311yescharacteristic
366C2×C4×Dic3C2311yescharacteristic
367C2×C4×Dic3C2311yescharacteristic
368C2×C4×Dic3C2311yescharacteristic
369C2×C4×Dic3C2311yescharacteristic
370C2×C4×Dic3C2311yescharacteristic
371#889—24no—
372#889—24no—
373#886—24no—
374#885—42no—
375#67⋊C4—24no—
376#67⋊C4—24no—
377#879—24no—
378#879—24no—
379#878—24no—
380#878—24no—
381#878—24no—
382#878—24no—
383#877—24no—
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
414C3⋊#95C2311yescharacteristic
415C3⋊#95C2311yescharacteristic
416C3⋊#95C2311yescharacteristic
417C3⋊#95C2311yescharacteristic
418C3⋊#95C2311yescharacteristic
419C3⋊#95C2311yescharacteristic
420C22×#41—31no—
421C24×C4—31no—
422#539—68no—
423C2×#126—31no—
424C2×#126—31no—
425C2×#125—31no—
426C2×#125—31no—
427C2×#124—31no—
428#525—68no—
429C2×#123—31no—
430C2×#123—31no—
431C2×#123—31no—
432C2×#123—31no—
433C2×#123—31no—
434C2×#123—31no—
435C2×#123—31no—
436C2×C22⋊Q8—31no—
437C2×C22⋊Q8—31no—
438C2×C22⋊Q8—31no—
439C2×C22⋊Q8—31no—
440C2×C22⋊Q8—31no—
441C2×#121—31no—
442C2×#121—31no—
443C2×#121—31no—
444C2×#121—31no—
445C2×#121C2×D311yescharacteristic
446C2×#121C2×D311yescharacteristic
447C2×#120—31no—
448C2×#120C2×D311yescharacteristic
449C2×#120C2×D311yescharacteristic
450C2×C4×D4—31no—
451C2×C4×D4—31no—
452C2×C4×D4—31no—
453C2×C4×D4—31no—
454C2×C4×D4—31no—
455C2×C4×D4—31no—
456C2×C4×D4C2×D311yescharacteristic
457C2×#117—31no—
458C22×C4⋊C4—31no—
459C22×C4⋊C4—31no—
460C22×C22⋊C4—31no—
461C22×C22⋊C4C2×D311yescharacteristic
462#400—31no—
463#400—31no—
464#400—31no—
465#399—31no—
466#399—31no—
467#399—31no—
468#398—31no—
469#398—31no—
470#398—31no—
471#398—31no—
472#398—31no—
473#398—31no—
474#397—31no—
475#397—31no—
476#397—31no—
477#397—31no—
478#396—31no—
479#396—31no—
480#396—31no—
481#396—31no—
482#396—31no—
483#396C2×D311yescharacteristic
484#395—31no—
485#395—31no—
486#394—31no—
487#394—31no—
488#394—31no—
489#394—31no—
490#394—31no—
491#394—31no—
492#394—31no—
493#394—31no—
494#394—31no—
495#394C2×D311yescharacteristic
496#394C2×D311yescharacteristic
497#393—31no—
498#393—31no—
499#392—31no—
500#392—31no—
501#392C2×D311yescharacteristic
502#391—31no—
503#391—31no—
504#391—31no—
505#390—31no—
506#390—31no—
507#390C2×D311yescharacteristic
508#389—31no—
509#389—31no—
510#389—31no—
511#389—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#388C2×D311yescharacteristic
522#387—31no—
523#387—31no—
524#387—31no—
525#387—31no—
526#387—31no—
527#387—31no—
528#386—31no—
529#386—31no—
530#386—31no—
531#386—31no—
532#386—31no—
533#386—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#386C2×D311yescharacteristic
543#386C2×D311yescharacteristic
544#385—31no—
545#385—31no—
546#385—31no—
547#385—31no—
548#385—31no—
549#385—31no—
550#385—31no—
551#385—31no—
552#385—31no—
553#385—31no—
554#385—31no—
555#385C2×D311yescharacteristic
556#381—31no—
557#381—31no—
558#381—31no—
559#380—31no—
560#380—31no—
561#380—31no—
562#380—31no—
563#380—31no—
564#380—31no—
565#380—31no—
566#380—31no—
567#380—31no—
568#380—31no—
569#379—31no—
570C4×C4⋊C4—31no—
571C4×C22⋊C4—31no—
572C4×C22⋊C4—31no—
573C4×C22⋊C4—31no—
574C2×#95—31no—
575C2×#95—31no—
576C2×#95—31no—
577C24×C3—22no—
578C24×C3—22no—
579C24×C3—22no—
580C24×C3—22no—
581C24×C3—22no—
582C24×C3—41no—
583C24×C3—41no—
584C24×C3C2411yescharacteristic
585C24×C3C2411yescharacteristic
586C24×C3C2411yescharacteristic
587C24×C3C2411yescharacteristic
588C24×C3C2411yescharacteristic
589C23×D3C2411yescharacteristic
590C2×C3×D4—22no—
591C2×C3×D4—22no—
592C2×C3×D4—22no—
593C2×C3×D4—22no—
594C2×C3×D4—22no—
595C2×C3×D4—22no—
596C2×C3×D4—22no—
597C2×C3×D4—22no—
598C2×C3×D4—22no—
599C2×C3×D4—22no—
600C2×C3×D4—22no—
601C2×C3×D4—22no—
602C2×C3×D4—41no—
603C2×C3×D4—41no—
604C2×C3×D4—41no—
605C2×C3×D4—41no—
606C2×C3×D4—41no—
607C2×C3×D4—41no—
608C2×C3×D4—41no—
609C2×C3×D4—41no—
610C2×C3×D4C2×D414yes—
611C22×C3×C4—22no—
612C22×C3×C4—22no—
613C22×C3×C4—41no—
614C22×C3×C4—41no—
615C22×C3×C4—41no—
616C22×C3×C4—41no—
617C22×C3×C4—41no—
618C22×C3×C4—41no—
619C22×C3×C4—41no—
620C22×C3×C4C2411yescharacteristic
621C22×C3×C4C2411yescharacteristic
622C22×C3×C4C2411yescharacteristic
623C22×C3×C4C2411yescharacteristic
624C22×C3×C4C2411yescharacteristic
625C22×C3×C4C2411yescharacteristic
626C22×C3×C4C2411yescharacteristic
627C22×C3×C4C2411yescharacteristic
628C22×C3×C4C2411yescharacteristic
629C22×C3×C4C2411yescharacteristic
630C2×#67—22no—
631C2×#67—22no—
632C2×#67—22no—
633C2×#67—22no—
634C2×#67—22no—
635C2×#67—22no—
636C2×#67—22no—
637C2×#67—22no—
638C2×#67—22no—
639C2×#67—41no—
640C2×#67—41no—
641C2×#67—41no—
642C2×#67—41no—
643C2×#67—41no—
644C2×#67—41no—
645C22×Dic3—22no—
646C22×Dic3—22no—
647C22×Dic3—22no—
648C22×Dic3—22no—
649C22×Dic3—22no—
650C22×Dic3—22no—
651C22×Dic3—22no—
652C22×Dic3—22no—
653C22×Dic3—22no—
654C22×Dic3—22no—
655C22×Dic3—22no—
656C22×Dic3—22no—
657C22×Dic3—22no—
658C22×Dic3—22no—
659C22×Dic3—22no—
660C22×Dic3—22no—
661C22×Dic3—22no—
662C22×Dic3—22no—
663C22×Dic3—41no—
664C22×Dic3—41no—
665C22×Dic3—41no—
666C22×Dic3—41no—
667C22×Dic3—41no—
668C22×Dic3—416no—
669C22×Dic3—41no—
670C22×Dic3—41no—
671C22×Dic3—41no—
672C22×Dic3—41no—
673C22×Dic3—41no—
674C22×Dic3—41no—
675C22×Dic3—41no—
676C22×Dic3—41no—
677C22×Dic3C2×D414yes—
678C22×Dic3#4114yes—
679C22×Dic3C2411yescharacteristic
680C22×Dic3C2411yescharacteristic
681C22×Dic3C2411yescharacteristic
682C22×Dic3C2411yescharacteristic
683C22×Dic3C2411yescharacteristic
684C22×Dic3C2411yescharacteristic
685C22×Dic3C2411yescharacteristic
686C22×Dic3C2411yescharacteristic
687C22×Dic3C2411yescharacteristic
688C22×Dic3C2411yescharacteristic
689C22×Dic3C2411yescharacteristic
690C22×Dic3C2411yescharacteristic
691C22×Dic3C2411yescharacteristic
692C22×Dic3C2411yescharacteristic
693C22×Dic3C2411yescharacteristic
694#237—416no—
695C2×C4×D3—22no—
696C2×C4×D3—22no—
697C2×C4×D3—41no—
698C2×Dic6—22no—
699C2×Dic6—22no—
700C2×Dic6—22no—
701C2×Dic6—41no—
702C2×Dic6—41no—
703C2×Dic6—41no—
704C3×C4⋊C4—22no—
705C3×C4⋊C4—41no—
706C3×C4⋊C4—41no—
707C3×C4⋊C4—41no—
708C3×C22⋊C4—22no—
709C3×C22⋊C4—22no—
710C3×C22⋊C4—22no—
711C3×C22⋊C4—22no—
712C3×C22⋊C4—22no—
713C3×C22⋊C4—22no—
714C3×C22⋊C4—22no—
715C3×C22⋊C4—22no—
716C3×C22⋊C4—41no—
717C3×C22⋊C4—41no—
718C3×C22⋊C4—41no—
719C3×C22⋊C4—41no—
720C3×C22⋊C4—41no—
721C3×C22⋊C4—41no—
722C3×C22⋊C4—41no—
723C3×C42—41no—
724#217—22no—
725#217—22no—
726#217—22no—
727#217—22no—
728#217—22no—
729#217—22no—
730#217—22no—
731#217—22no—
732#217—22no—
733#217—22no—
734#217—22no—
735#217—22no—
736#217—22no—
737#217—22no—
738#217—41no—
739#217—41no—
740#217—41no—
741#217—41no—
742#217—41no—
743#217—41no—
744#217—41no—
745#217C2×D414yes—
746#217C2×D414yes—
747#217C2×D414yes—
748(C2×D3)⋊C4—22no—
749(C2×D3)⋊C4—22no—
750(C2×D3)⋊C4—41no—
751(C2×D3)⋊C4—41no—
752(C2×D3)⋊C4—41no—
753(C2×D3)⋊C4—41no—
754(C2×D3)⋊C4—41no—
755(C2×D3)⋊C4—41no—
756(C2×D3)⋊C4—41no—
757C4⋊Dic3—22no—
758C4⋊Dic3—22no—
759C4⋊Dic3—22no—
760C4⋊Dic3—22no—
761C4⋊Dic3—22no—
762Dic3⋊C4—22no—
763Dic3⋊C4—22no—
764Dic3⋊C4—22no—
765Dic3⋊C4—22no—
766Dic3⋊C4—22no—
767Dic3⋊C4—22no—
768Dic3⋊C4—22no—
769Dic3⋊C4—22no—
770Dic3⋊C4—22no—
771Dic3⋊C4—22no—
772Dic3⋊C4—22no—
773Dic3⋊C4—22no—
774Dic3⋊C4—41no—
775Dic3⋊C4—41no—
776Dic3⋊C4—41no—
777Dic3⋊C4—41no—
778Dic3⋊C4—41no—
779Dic3⋊C4—41no—
780Dic3⋊C4—41no—
781Dic3⋊C4—41no—
782Dic3⋊C4—41no—
783Dic3⋊C4—41no—
784Dic3⋊C4—41no—
785Dic3⋊C4C2×D414yes—
786Dic3⋊C4C2×D414yes—
787C4×Dic3—22no—
788C4×Dic3—22no—
789C4×Dic3—22no—
790C4×Dic3—22no—
791C4×Dic3—41no—
792C4×Dic3—41no—
793C25C22×D311yescharacteristic
794C2×#41—64no—
795C2×#41—64no—
796C2×#41—122no—
797C22×Q8—31no—
798C22×Q8—31no—
799C22×D4—31no—
800C22×D4—31no—
801C22×D4—31no—
802C22×D4—31no—
803C22×D4—31no—
804C22×D4C22×D311yescharacteristic
805C22×D4C22×D311yescharacteristic
806C22×D4C22×D311yescharacteristic
807C22×D4C22×D311yescharacteristic
808C22×D4C22×D311yescharacteristic
809C22×D4C22×D311yescharacteristic
810C22×D4C22×D311yescharacteristic
811C23×C4—31no—
812C23×C4—31no—
813C23×C4—31no—
814C23×C4—31no—
815C23×C4—31no—
816C23×C4—31no—
817C23×C4—31no—
818C23×C4—31no—
819C23×C4—31no—
820C23×C4—31no—
821C23×C4—31no—
822C23×C4—31no—
823C23×C4—64no—
824C23×C4—64no—
825C23×C4—122no—
826C23×C4C22×D311yescharacteristic
827C23×C4C22×D311yescharacteristic
828C23×C4C22×D311yescharacteristic
829#126—64no—
830#126—64no—
831#125—64no—
832#125—64no—
833#124—122no—
834#123—38no—
835#123—64no—
836#123—64no—
837#123—64no—
838#123—64no—
839#123—64no—
840#123—122no—
841C22⋊Q8—64no—
842C22⋊Q8—64no—
843C22⋊Q8—64no—
844C22⋊Q8—64no—
845C22⋊Q8—64no—
846#121—24no—
847#121—42no—
848#121—64no—
849#121—64no—
850#121—122no—
851#121—122no—
852#120—24no—
853#120—42no—
854#120—64no—
855C4×D4—42no—
856C4×D4—64no—
857C4×D4—64no—
858C4×D4—64no—
859C4×D4—64no—
860C4×D4—64no—
861C4×D4—64no—
862#117—64no—
863C2×C4⋊C4—31no—
864C2×C4⋊C4—31no—
865C2×C4⋊C4—31no—
866C2×C4⋊C4—31no—
867C2×C4⋊C4—31no—
868C2×C4⋊C4—31no—
869C2×C4⋊C4—31no—
870C2×C4⋊C4—31no—
871C2×C4⋊C4—31no—
872C2×C4⋊C4—31no—
873C2×C4⋊C4—31no—
874C2×C4⋊C4—31no—
875C2×C4⋊C4—31no—
876C2×C4⋊C4—31no—
877C2×C4⋊C4—31no—
878C2×C4⋊C4—31no—
879C2×C4⋊C4—31no—
880C2×C4⋊C4—31no—
881C2×C4⋊C4—31no—
882C2×C4⋊C4—31no—
883C2×C4⋊C4—31no—
884C2×C4⋊C4—31no—
885C2×C4⋊C4—31no—
886C2×C4⋊C4—31no—
887C2×C4⋊C4—31no—
888C2×C4⋊C4—31no—
889C2×C4⋊C4—31no—
890C2×C4⋊C4—31no—
891C2×C4⋊C4—31no—
892C2×C4⋊C4—31no—
893C2×C4⋊C4—64no—
894C2×C4⋊C4—122no—
895C2×C4⋊C4C22×D311yescharacteristic
896C2×C4⋊C4C22×D311yescharacteristic
897C2×C4⋊C4C22×D311yescharacteristic
898C2×C4⋊C4C22×D311yescharacteristic
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×C22⋊C4—31no—
923C2×C22⋊C4—31no—
924C2×C22⋊C4—31no—
925C2×C22⋊C4—31no—
926C2×C22⋊C4—31no—
927C2×C22⋊C4—31no—
928C2×C22⋊C4—31no—
929C2×C22⋊C4—31no—
930C2×C22⋊C4—31no—
931C2×C22⋊C4—31no—
932C2×C22⋊C4—42no—
933C2×C22⋊C4—122no—
934C2×C22⋊C4C22×D311yescharacteristic
935C2×C22⋊C4C22×D311yescharacteristic
936C2×C22⋊C4C22×D311yescharacteristic
937C2×C22⋊C4C22×D311yescharacteristic
938C2×C22⋊C4C22×D311yescharacteristic
939C2×C22⋊C4C22×D311yescharacteristic
940C2×C22⋊C4C22×D311yescharacteristic
941C2×C22⋊C4C22×D311yescharacteristic
942C2×C22⋊C4C22×D311yescharacteristic
943C2×C22⋊C4C22×D311yescharacteristic
944C2×C22⋊C4C22×D311yescharacteristic
945C2×C22⋊C4C22×D311yescharacteristic
946C2×C22⋊C4C22×D311yescharacteristic
947C2×C22⋊C4C22×D311yescharacteristic
948C2×C22⋊C4C22×D311yescharacteristic
949C2×C42—31no—
950C2×C42—31no—
951C2×C42—31no—
952C2×C42—31no—
953C2×C42—31no—
954C2×C42—31no—
955C2×C42C22×D311yescharacteristic
956#95—31no—
957#95—31no—
958#95—31no—
959#95—31no—
960#95—31no—
961#95—31no—
962#95—31no—
963#95—31no—
964#95—31no—
965#95—31no—
966#95—31no—
967#95—31no—
968#95—31no—
969#95—31no—
970#95—31no—
971#95—31no—
972#95—31no—
973#95—31no—
974#95—31no—
975#95—31no—
976#95—31no—
977#95—31no—
978#95—31no—
979#95—31no—
980#95—31no—
981#95—31no—
982#95—31no—
983#95—31no—
984#95—31no—
985#95—31no—
986#95—31no—
987#95—31no—
988#95C22×D311yescharacteristic
989#95C22×D311yescharacteristic
990#95C22×D311yescharacteristic
991#95C22×D311yescharacteristic
992C23×C3—21no—
993C23×C3—21no—
994C23×C3—21no—
995C23×C3—21no—
996C23×C3—28no—
997C23×C3—21no—
998C23×C3—21no—
999C23×C3—21no—
1000C23×C3—21no—
1001C23×C3—21no—
1002C23×C3—21no—
1003C23×C3—21no—
1004C23×C3—21no—
1005C23×C3—21no—
1006C23×C3—21no—
1007C23×C3—21no—
1008C23×C3—21no—
1009C23×C3—21no—
1010C23×C3—21no—
1011C23×C3—21no—
1012C23×C3—21no—
1013C23×C3—21no—
1014C23×C3—21no—
1015C23×C3—21no—
1016C23×C3—21no—
1017C23×C3—21no—
1018C23×C3—21no—
1019C23×C3—21no—
1020C23×C3—21no—
1021C23×C3—21no—
1022C23×C3—44no—
1023C23×C3—44no—
1024C23×C3—44no—
1025C23×C3—44no—
1026C23×C3—44no—
1027C23×C3—44no—
1028C23×C3C22×D412yes—
1029C23×C3C22×D412yes—
1030C23×C3C2×#4112yes—
1031C23×C3H(5,𝔽2)12yes—
1032C23×C3H(5,𝔽2)12yes—
1033C23×C32−1+412yes—
1034C23×C3C2511yescharacteristic
1035C22×D3—21no—
1036C22×D3—21no—
1037C22×D3—21no—
1038C22×D3—21no—
1039C22×D3—21no—
1040C22×D3—21no—
1041C22×D3—21no—
1042C3×D4—28no—
1043C3×D4—44no—
1044C3×D4—44no—
1045C3×D4—44no—
1046C3×D4—82no—
1047C3×D4—82no—
1048C3×D4—82no—
1049C2×C3×C4—21no—
1050C2×C3×C4—21no—
1051C2×C3×C4—21no—
1052C2×C3×C4—21no—
1053C2×C3×C4—21no—
1054C2×C3×C4—21no—
1055C2×C3×C4—21no—
1056C2×C3×C4—21no—
1057C2×C3×C4—21no—
1058C2×C3×C4—21no—
1059C2×C3×C4—21no—
1060C2×C3×C4—21no—
1061C2×C3×C4—21no—
1062C2×C3×C4—21no—
1063C2×C3×C4—21no—
1064C2×C3×C4—21no—
1065C2×C3×C4—21no—
1066C2×C3×C4—21no—
1067C2×C3×C4—21no—
1068C2×C3×C4—21no—
1069C2×C3×C4—21no—
1070C2×C3×C4—21no—
1071C2×C3×C4—21no—
1072C2×C3×C4—21no—
1073C2×C3×C4—21no—
1074C2×C3×C4—21no—
1075C2×C3×C4—21no—
1076C2×C3×C4—21no—
1077C2×C3×C4—21no—
1078C2×C3×C4—82no—
1079C2×C3×C4—82no—
1080C2×C3×C4—82no—
1081C2×C3×C4C22×D412yes—
1082#67—44no—
1083#67—44no—
1084#67—44no—
1085#67—44no—
1086#67—82no—
1087C2×Dic3—28no—
1088C2×Dic3—28no—
1089C2×Dic3—21no—
1090C2×Dic3—21no—
1091C2×Dic3—21no—
1092C2×Dic3—21no—
1093C2×Dic3—21no—
1094C2×Dic3—21no—
1095C2×Dic3—21no—
1096C2×Dic3—21no—
1097C2×Dic3—21no—
1098C2×Dic3—21no—
1099C2×Dic3—21no—
1100C2×Dic3—21no—
1101C2×Dic3—21no—
1102C2×Dic3—21no—
1103C2×Dic3—21no—
1104C2×Dic3—21no—
1105C2×Dic3—21no—
1106C2×Dic3—21no—
1107C2×Dic3—21no—
1108C2×Dic3—21no—
1109C2×Dic3—21no—
1110C2×Dic3—21no—
1111C2×Dic3—21no—
1112C2×Dic3—21no—
1113C2×Dic3—21no—
1114C2×Dic3—21no—
1115C2×Dic3—21no—
1116C2×Dic3—21no—
1117C2×Dic3—21no—
1118C2×Dic3—21no—
1119C2×Dic3—21no—
1120C2×Dic3—21no—
1121C2×Dic3—21no—
1122C2×Dic3—21no—
1123C2×Dic3—21no—
1124C2×Dic3—21no—
1125C2×Dic3—21no—
1126C2×Dic3—21no—
1127C2×Dic3—21no—
1128C2×Dic3—44no—
1129C2×Dic3—44no—
1130C2×Dic3—44no—
1131C2×Dic3—44no—
1132C2×Dic3—44no—
1133C2×Dic3—82no—
1134C2×Dic3—82no—
1135C2×Dic3—82no—
1136C2×Dic3—82no—
1137C2×Dic3C22×D412yes—
1138C2×Dic3C22×D412yes—
1139C2×Dic3C22×D412yes—
1140C2×Dic3C22×D412yes—
1141C2×Dic3C2×#4112yes—
1142C2×Dic3C2×#4112yes—
1143C4×D3—44no—
1144Dic6—44no—
1145Dic6—82no—
1146C24—22no—
1147C24—22no—
1148C24—22no—
1149C24—22no—
1150C24—22no—
1151C24—31no—
1152C24—41no—
1153C24—41no—
1154C24C23×D311yescharacteristic
1155C24C23×D311yescharacteristic
1156C24C23×D311yescharacteristic
1157C24C23×D311yescharacteristic
1158C24C23×D311yescharacteristic
1159#41—1216no—
1160C2×Q8—62no—
1161C2×Q8—62no—
1162C2×Q8—62no—
1163C2×Q8—121no—
1164C2×Q8—121no—
1165C2×Q8—121no—
1166C2×D4—22no—
1167C2×D4—22no—
1168C2×D4—22no—
1169C2×D4—22no—
1170C2×D4—22no—
1171C2×D4—22no—
1172C2×D4—22no—
1173C2×D4—22no—
1174C2×D4—22no—
1175C2×D4—22no—
1176C2×D4—22no—
1177C2×D4—22no—
1178C2×D4—41no—
1179C2×D4—41no—
1180C2×D4—41no—
1181C2×D4—41no—
1182C2×D4—41no—
1183C2×D4—41no—
1184C2×D4—41no—
1185C2×D4—41no—
1186C2×D4—62no—
1187C2×D4—62no—
1188C2×D4—62no—
1189C2×D4—62no—
1190C2×D4—62no—
1191C2×D4—62no—
1192C2×D4—62no—
1193C2×D4—62no—
1194C2×D4—62no—
1195C2×D4—121no—
1196C2×D4—121no—
1197C2×D4—121no—
1198C2×D4—121no—
1199C2×D4—121no—
1200C2×D4—121no—
1201C2×D4D3×D414yes—
1202C22×C4—22no—
1203C22×C4—22no—
1204C22×C4—34no—
1205C22×C4—34no—
1206C22×C4—31no—
1207C22×C4—31no—
1208C22×C4—31no—
1209C22×C4—31no—
1210C22×C4—31no—
1211C22×C4—31no—
1212C22×C4—31no—
1213C22×C4—31no—
1214C22×C4—31no—
1215C22×C4—31no—
1216C22×C4—31no—
1217C22×C4—31no—
1218C22×C4—31no—
1219C22×C4—31no—
1220C22×C4—31no—
1221C22×C4—41no—
1222C22×C4—41no—
1223C22×C4—41no—
1224C22×C4—41no—
1225C22×C4—41no—
1226C22×C4—41no—
1227C22×C4—41no—
1228C22×C4—62no—
1229C22×C4—62no—
1230C22×C4—62no—
1231C22×C4—62no—
1232C22×C4—62no—
1233C22×C4—62no—
1234C22×C4—62no—
1235C22×C4—62no—
1236C22×C4—62no—
1237C22×C4—62no—
1238C22×C4—62no—
1239C22×C4—62no—
1240C22×C4—62no—
1241C22×C4—62no—
1242C22×C4—62no—
1243C22×C4—62no—
1244C22×C4—62no—
1245C22×C4—62no—
1246C22×C4—62no—
1247C22×C4—62no—
1248C22×C4—121no—
1249C22×C4—121no—
1250C22×C4—121no—
1251C22×C4—121no—
1252C22×C4—121no—
1253C22×C4—121no—
1254C22×C4—1216no—
1255C22×C4—121no—
1256C22×C4—121no—
1257C22×C4—121no—
1258C22×C4—121no—
1259C22×C4—121no—
1260C22×C4—121no—
1261C22×C4—121no—
1262C22×C4—121no—
1263C22×C4C23×D311yescharacteristic
1264C22×C4C23×D311yescharacteristic
1265C22×C4C23×D311yescharacteristic
1266C22×C4C23×D311yescharacteristic
1267C22×C4C23×D311yescharacteristic
1268C22×C4C23×D311yescharacteristic
1269C22×C4C23×D311yescharacteristic
1270C22×C4C23×D311yescharacteristic
1271C22×C4C23×D311yescharacteristic
1272C22×C4C23×D311yescharacteristic
1273C4⋊C4—22no—
1274C4⋊C4—34no—
1275C4⋊C4—34no—
1276C4⋊C4—41no—
1277C4⋊C4—41no—
1278C4⋊C4—41no—
1279C4⋊C4—62no—
1280C4⋊C4—62no—
1281C4⋊C4—62no—
1282C4⋊C4—62no—
1283C4⋊C4—62no—
1284C4⋊C4—62no—
1285C4⋊C4—62no—
1286C4⋊C4—62no—
1287C4⋊C4—62no—
1288C4⋊C4—62no—
1289C4⋊C4—62no—
1290C4⋊C4—62no—
1291C4⋊C4—62no—
1292C4⋊C4—62no—
1293C4⋊C4—62no—
1294C4⋊C4—62no—
1295C4⋊C4—62no—
1296C4⋊C4—121no—
1297C4⋊C4—121no—
1298C4⋊C4—121no—
1299C4⋊C4—121no—
1300C4⋊C4—121no—
1301C4⋊C4—121no—
1302C4⋊C4—121no—
1303C4⋊C4—121no—
1304C4⋊C4—121no—
1305C4⋊C4—121no—
1306C4⋊C4—121no—
1307C22⋊C4—22no—
1308C22⋊C4—22no—
1309C22⋊C4—22no—
1310C22⋊C4—22no—
1311C22⋊C4—22no—
1312C22⋊C4—22no—
1313C22⋊C4—22no—
1314C22⋊C4—22no—
1315C22⋊C4—34no—
1316C22⋊C4—34no—
1317C22⋊C4—34no—
1318C22⋊C4—41no—
1319C22⋊C4—41no—
1320C22⋊C4—41no—
1321C22⋊C4—41no—
1322C22⋊C4—41no—
1323C22⋊C4—41no—
1324C22⋊C4—41no—
1325C22⋊C4—62no—
1326C22⋊C4—62no—
1327C22⋊C4—62no—
1328C22⋊C4—62no—
1329C22⋊C4—62no—
1330C22⋊C4—62no—
1331C22⋊C4—62no—
1332C22⋊C4—62no—
1333C22⋊C4—62no—
1334C22⋊C4—62no—
1335C22⋊C4—62no—
1336C22⋊C4—62no—
1337C22⋊C4—62no—
1338C22⋊C4—62no—
1339C22⋊C4—62no—
1340C22⋊C4—62no—
1341C22⋊C4—121no—
1342C22⋊C4—121no—
1343C22⋊C4—121no—
1344C22⋊C4—121no—
1345C22⋊C4—121no—
1346C22⋊C4—121no—
1347C22⋊C4—121no—
1348C22⋊C4—121no—
1349C22⋊C4—121no—
1350C22⋊C4—121no—
1351C22⋊C4—121no—
1352C22⋊C4—121no—
1353C22⋊C4—121no—
1354C22⋊C4—121no—
1355C42—41no—
1356C42—62no—
1357C42—62no—
1358C42—62no—
1359C42—62no—
1360C42—121no—
1361C42—121no—
1362C22×C3—22no—
1363C22×C3—22no—
1364C22×C3—22no—
1365C22×C3—22no—
1366C22×C3—22no—
1367C22×C3—22no—
1368C22×C3—22no—
1369C22×C3—22no—
1370C22×C3—22no—
1371C22×C3—22no—
1372C22×C3—22no—
1373C22×C3—22no—
1374C22×C3—22no—
1375C22×C3—22no—
1376C22×C3—22no—
1377C22×C3—416no—
1378C22×C3—41no—
1379C22×C3—41no—
1380C22×C3—41no—
1381C22×C3—41no—
1382C22×C3—41no—
1383C22×C3—41no—
1384C22×C3—41no—
1385C22×C3—41no—
1386C22×C3—41no—
1387C22×C3—41no—
1388C22×C3—41no—
1389C22×C3—41no—
1390C22×C3—41no—
1391C22×C3—41no—
1392C22×C3—41no—
1393C22×C3—41no—
1394C22×C3—41no—
1395C22×C3—41no—
1396C22×C3—41no—
1397C22×C3#54614yes—
1398C22×C3C23×D411yescharacteristic
1399C22×C3C22×#4111yescharacteristic
1400C22×C3C2×H(5,𝔽2)11yescharacteristic
1401C22×C3C2×H(5,𝔽2)11yescharacteristic
1402C22×C3C2×2−1+411yescharacteristic
1403C22×C3#58511yescharacteristic
1404C22×C3#58511yescharacteristic
1405C2×D3—41no—
1406C2×D3—41no—
1407C2×D3—41no—
1408C2×D3—41no—
1409C2×D3—41no—
1410C2×D3—41no—
1411C2×D3—41no—
1412C3×C4—22no—
1413C3×C4—41no—
1414C3×C4—41no—
1415C3×C4—41no—
1416C3×C4—41no—
1417C3×C4—41no—
1418C3×C4—41no—
1419C3×C4—41no—
1420C3×C4—41no—
1421C3×C4—41no—
1422Dic3—22no—
1423Dic3—22no—
1424Dic3—22no—
1425Dic3—22no—
1426Dic3—22no—
1427Dic3—22no—
1428Dic3—41no—
1429Dic3—41no—
1430Dic3—41no—
1431Dic3—41no—
1432Dic3—41no—
1433Dic3—41no—
1434Dic3—41no—
1435Dic3—41no—
1436Dic3—41no—
1437C23—21no—
1438C23—21no—
1439C23—21no—
1440C23—21no—
1441C23—28no—
1442C23—21no—
1443C23—21no—
1444C23—21no—
1445C23—21no—
1446C23—21no—
1447C23—21no—
1448C23—21no—
1449C23—21no—
1450C23—21no—
1451C23—21no—
1452C23—21no—
1453C23—21no—
1454C23—21no—
1455C23—21no—
1456C23—21no—
1457C23—21no—
1458C23—21no—
1459C23—21no—
1460C23—21no—
1461C23—21no—
1462C23—21no—
1463C23—21no—
1464C23—21no—
1465C23—21no—
1466C23—21no—
1467C23—44no—
1468C23—44no—
1469C23—44no—
1470C23—44no—
1471C23—44no—
1472C23—44no—
1473C23—61no—
1474C23—61no—
1475C23—61no—
1476C23—61no—
1477C23—61no—
1478C23—61no—
1479C23—61no—
1480C23C2×D3×D412yes—
1481C23C2×D3×D412yes—
1482C23#100412yes—
1483C23#100412yes—
1484C23D3×#4112yes—
1485C23#101012yes—
1486C23C24×D311yescharacteristic
1487Q8—124no—
1488Q8—242no—
1489D4—28no—
1490D4—44no—
1491D4—44no—
1492D4—44no—
1493D4—82no—
1494D4—82no—
1495D4—82no—
1496D4—124no—
1497D4—124no—
1498D4—124no—
1499D4—124no—
1500D4—242no—
1501C2×C4—21no—
1502C2×C4—21no—
1503C2×C4—21no—
1504C2×C4—21no—
1505C2×C4—21no—
1506C2×C4—21no—
1507C2×C4—21no—
1508C2×C4—21no—
1509C2×C4—21no—
1510C2×C4—21no—
1511C2×C4—21no—
1512C2×C4—21no—
1513C2×C4—21no—
1514C2×C4—21no—
1515C2×C4—21no—
1516C2×C4—21no—
1517C2×C4—21no—
1518C2×C4—21no—
1519C2×C4—21no—
1520C2×C4—21no—
1521C2×C4—21no—
1522C2×C4—21no—
1523C2×C4—21no—
1524C2×C4—21no—
1525C2×C4—21no—
1526C2×C4—21no—
1527C2×C4—21no—
1528C2×C4—21no—
1529C2×C4—21no—
1530C2×C4—32no—
1531C2×C4—32no—
1532C2×C4—32no—
1533C2×C4—32no—
1534C2×C4—32no—
1535C2×C4—32no—
1536C2×C4—61no—
1537C2×C4—61no—
1538C2×C4—61no—
1539C2×C4—61no—
1540C2×C4—61no—
1541C2×C4—61no—
1542C2×C4—61no—
1543C2×C4—61no—
1544C2×C4—61no—
1545C2×C4—61no—
1546C2×C4—61no—
1547C2×C4—61no—
1548C2×C4—68no—
1549C2×C4—68no—
1550C2×C4—61no—
1551C2×C4—61no—
1552C2×C4—61no—
1553C2×C4—61no—
1554C2×C4—61no—
1555C2×C4—61no—
1556C2×C4—61no—
1557C2×C4—61no—
1558C2×C4—61no—
1559C2×C4—61no—
1560C2×C4—61no—
1561C2×C4—61no—
1562C2×C4—61no—
1563C2×C4—61no—
1564C2×C4—61no—
1565C2×C4—61no—
1566C2×C4—61no—
1567C2×C4—61no—
1568C2×C4—61no—
1569C2×C4—61no—
1570C2×C4—61no—
1571C2×C4—61no—
1572C2×C4—61no—
1573C2×C4—61no—
1574C2×C4—61no—
1575C2×C4—61no—
1576C2×C4—61no—
1577C2×C4—82no—
1578C2×C4—82no—
1579C2×C4—82no—
1580C2×C4—124no—
1581C2×C4—124no—
1582C2×C4—124no—
1583C2×C4—124no—
1584C2×C4—124no—
1585C2×C4—124no—
1586C2×C4—242no—
1587C2×C4—242no—
1588C2×C4—242no—
1589C2×C4—242no—
1590C2×C4C2×D3×D412yes—
1591C2×C3—24no—
1592C2×C3—42no—
1593C2×C3—42no—
1594C2×C3—42no—
1595C2×C3—81no—
1596C2×C3#345511yescharacteristic
1597C2×C3C2×#54611yescharacteristic
1598C2×C3#348811yescharacteristic
1599C2×C3#348911yescharacteristic
1600C2×C3#349211yescharacteristic
1601C2×C3#353411yescharacteristic
1602C2×C3#353511yescharacteristic
1603D3—81no—
1604C22—22no—
1605C22—22no—
1606C22—22no—
1607C22—22no—
1608C22—22no—
1609C22—22no—
1610C22—22no—
1611C22—22no—
1612C22—22no—
1613C22—22no—
1614C22—22no—
1615C22—22no—
1616C22—22no—
1617C22—22no—
1618C22—22no—
1619C22—416no—
1620C22—41no—
1621C22—41no—
1622C22—41no—
1623C22—41no—
1624C22—41no—
1625C22—41no—
1626C22—41no—
1627C22—41no—
1628C22—41no—
1629C22—41no—
1630C22—41no—
1631C22—41no—
1632C22—41no—
1633C22—41no—
1634C22—41no—
1635C22—41no—
1636C22—41no—
1637C22—41no—
1638C22—41no—
1639C22—121no—
1640C22—121no—
1641C22—121no—
1642C22—121no—
1643C22—121no—
1644C22—121no—
1645C22—121no—
1646C22#561014yes—
1647C22C22×D3×D411yescharacteristic
1648C22C2×#100411yescharacteristic
1649C22C2×#100411yescharacteristic
1650C22C2×D3×#4111yescharacteristic
1651C22C2×#101011yescharacteristic
1652C22#596611yescharacteristic
1653C22#596611yescharacteristic
1654C4—22no—
1655C4—41no—
1656C4—41no—
1657C4—41no—
1658C4—41no—
1659C4—41no—
1660C4—41no—
1661C4—41no—
1662C4—41no—
1663C4—41no—
1664C4—62no—
1665C4—62no—
1666C4—62no—
1667C4—62no—
1668C4—62no—
1669C4—62no—
1670C4—121no—
1671C4—121no—
1672C4—121no—
1673C4—121no—
1674C4—121no—
1675C4—121no—
1676C4—121no—
1677C4—121no—
1678C4—121no—
1679C3#3766611yescharacteristic, complemented, Sylow
1680C2—24no—
1681C2—42no—
1682C2—42no—
1683C2—42no—
1684C2—81no—
1685C2—241no—
1686C2C2×#561011yescharacteristic
1687C2#8602511yescharacteristic
1688C2#8638711yescharacteristic
1689C2#8660711yescharacteristic
1690C2#8661311yescharacteristic
1691C2#8663011yescharacteristic
1692C2#8664611yescharacteristic
subgroupG/H
center, FrattiniC23C24×D3
commutator, socle, cosocleC23×C3C25
FittingC3×#2424C2
hypercenter#2424D3
hypocenterC3#37666
LCSG ▷ C23×C3 ▷ C3
UCSC1 ◁ C23 ◁ #2424

Complements

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

NH ≅ G/Ntype
1. C2×#5602C2semidirect
2. C2×#5586C2semidirect
3. C3×#2424C2semidirect
4. #82681C2semidirect
5. #82651C2semidirect
6. #82645C2semidirect
7. #82602C2semidirect
8. #82587C2semidirect
9. #82585C2semidirect
10. #82330C2semidirect
11. #82326C2semidirect
12. #82111C2semidirect
13. C2×#4942C2semidirect
14. #77352C2semidirect
15. #77291C2semidirect
16. #77023C2semidirect
17. #77000C2semidirect
18. #76923C2semidirect
19. #76902C2semidirect
20. #76722C2semidirect
21. #76678C2semidirect
22. #76382C2semidirect
23. #76328C2semidirect
24. #75673C2semidirect
25. #75510C2semidirect
26. #74800C2semidirect
27. #74781C2semidirect
28. #74712C2semidirect
29. #74675C2semidirect
30. #74620C2semidirect
31. #74414C2semidirect
51. C2×#935C22semidirect
52. C2×#935C22semidirect
62. C2×#889C22semidirect
63. C2×#889C22semidirect
68. C2×#879C22semidirect
69. C2×#879C22semidirect
72. C2×#878C22semidirect
73. C2×#878C22semidirect
86. #5223C22semidirect
97. #5220C22semidirect
100. #5213C22semidirect
101. #5210C22semidirect
102. #5210C22semidirect
106. C2×C3⋊#95C22semidirect
107. #4993C22semidirect
108. #4993C22semidirect
109. #4989C22semidirect
110. #4987C22semidirect
111. #4983C22semidirect
112. #4982C22semidirect
113. #4982C22semidirect
114. #4980C22semidirect
115. #4979C22semidirect
116. #4979C22semidirect
117. #4976C22semidirect
118. #4976C22semidirect
119. #4976C22semidirect
120. #4973C22semidirect
124. #4959C22semidirect
125. #4959C22semidirect
126. #4959C22semidirect
128. #4958C22semidirect
131. #4956C22semidirect
137. #4948C22semidirect
138. #4948C22semidirect
140. #4947C22semidirect
147. #4946C22semidirect
148. #4946C22semidirect
150. #4945C22semidirect
151. #4945C22semidirect
152. #4945C22semidirect
156. #4944C22semidirect
159. #4943C22semidirect
169. Dic3×C22⋊C4C22semidirect
170. C4×(C2×D3)⋊C4C22semidirect
171. #4933C22semidirect
172. #4933C22semidirect
173. #4929C22semidirect
174. #4676C22semidirect
175. #4676C22semidirect
176. #4675C22semidirect
177. #4675C22semidirect
178. #4660C22semidirect
179. #4660C22semidirect
180. #4658C22semidirect
181. #4657C22semidirect
182. #4657C22semidirect
183. #4657C22semidirect
184. #4655C22semidirect
185. #4652C22semidirect
186. #4652C22semidirect
187. #4649C22semidirect
188. #4647C22semidirect
189. #4646C22semidirect
215. #2424D3semidirect
318. #935D4semidirect
1679. C3#37666semidirect

Maximal subgroups

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

subgroupindex
C2×#56022
C2×#55862
C3×#24242
#826812
#826512
#826452
#826022
#825872
#825852
#823302
#823262
#821112
C2×#49422
#773522
#772912
#770232
#770002
#769232
#769022
#767222
#766782
#763822
#763282
#756732
#755102
#748002
#747812
#747122
#746752
#746202
#744142
#376663