Finite Group Databasebeta

← #11025612

Subgroups — #11025612

Order 768.

2280 conjugacy classes of subgroups.

The subgroup lattice has 1602 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#5660C211yesmaximal, characteristic, complemented
2C22×#879C211yesmaximal, characteristic, complemented
3C3×#2412C211yesmaximal, characteristic, complemented
4#82887C211yesmaximal, characteristic, complemented
5#82586C211yesmaximal, characteristic
6#82585C211yesmaximal, characteristic, complemented
7#82128C211yesmaximal, characteristic, complemented
8#82110C211yesmaximal, characteristic, complemented
9#82099C211yesmaximal, characteristic, complemented
10#77593C211yesmaximal, characteristic, complemented
11#77590C211yesmaximal, characteristic, complemented
12#77566C211yesmaximal, characteristic, complemented
13#77483C211yesmaximal, characteristic, complemented
14#77042C211yesmaximal, characteristic, complemented
15#77024C211yesmaximal, characteristic, complemented
16#76981C211yesmaximal, characteristic, complemented
17#76954C211yesmaximal, characteristic, complemented
18#74801C211yesmaximal, characteristic, complemented
19#74754C211yesmaximal, characteristic, complemented
20#74736C211yesmaximal, characteristic, complemented
21#74710C211yesmaximal, characteristic, complemented
22#74702C211yesmaximal, characteristic, complemented
23#74660C211yesmaximal, characteristic, complemented
24#74520C211yesmaximal, characteristic, complemented
25#74389C211yesmaximal, characteristic, complemented
26#74095C211yesmaximal, characteristic, complemented
27#74071C211yesmaximal, characteristic, complemented
28#74010C211yesmaximal, characteristic, complemented
29#73998C211yesmaximal, characteristic, complemented
30#73902C211yesmaximal, characteristic, complemented
31#73889C211yesmaximal, characteristic, complemented
32#37724—31nomaximal, Sylow
33C2×C3×#123C2211yescharacteristic
34C2×C3×#120C2211yescharacteristic
35C22×C3×C22⋊C4C2211yescharacteristic
36C22×C3×C22⋊C4C2211yescharacteristic
37C2×#953C2211yescharacteristic
38C22×#217C2211yescharacteristic
39C22×#217C2211yescharacteristic
40C2×#939C2211yescharacteristic
41C2×#938C2211yescharacteristic
42C2×#935C2211yescharacteristic
43C2×D4×Dic3C2211yescharacteristic
44C2×C4×#67C2211yescharacteristic
45C2×C4×#67C2211yescharacteristic
46C22×C4⋊Dic3C2211yescharacteristic
47C2×#924C2211yescharacteristic
48C22×Dic3⋊C4C2211yescharacteristic
49C22×Dic3⋊C4C2211yescharacteristic
50C22×C4×Dic3C2211yescharacteristic
51#5660—28no—
52C2×#896C2211yescharacteristic, complemented
53C2×D3×C4⋊C4C2211yescharacteristic, complemented
54C2×#890C2211yescharacteristic, complemented
55C2×#889C2211yescharacteristic, complemented
56C2×#883C2211yescharacteristic
57C2×#883C2211yescharacteristic, complemented
58C2×#67⋊C4C2211yescharacteristic
59C2×#67⋊C4C2211yescharacteristic
60C2×#67⋊C4C2211yescharacteristic, complemented
61C2×#879—28no—
62C2×#879C2211yescharacteristic
63C2×#879C2211yescharacteristic
64C2×#879C2211yescharacteristic
65C2×#879C2211yescharacteristic
66C2×#879C2211yescharacteristic
67C2×#879C2211yescharacteristic
68C2×#879C2211yescharacteristic
69C2×#879C2211yescharacteristic
70C2×#879C2211yescharacteristic, complemented
71C2×#878C2211yescharacteristic
72C2×#878C2211yescharacteristic, complemented
73C3×#397C2211yescharacteristic
74C3×#397C2211yescharacteristic
75C3×#394C2211yescharacteristic
76C3×#394C2211yescharacteristic
77C3×#386C2211yescharacteristic
78C3×#386C2211yescharacteristic
79C3×#386C2211yescharacteristic
80C3×#385C2211yescharacteristic
81C3×#381C2211yescharacteristic
82C3×#380C2211yescharacteristic
83C3×#380C2211yescharacteristic
84#5247C2211yescharacteristic
85#5223C2211yescharacteristic
86#5222C2211yescharacteristic
87#5222C2211yescharacteristic
88#5222C2211yescharacteristic
89#5221C2211yescharacteristic
90#5220C2211yescharacteristic
91#5220C2211yescharacteristic
92#5220C2211yescharacteristic
93#5213C2211yescharacteristic
94#5213C2211yescharacteristic
95#5212C2211yescharacteristic
96#5212C2211yescharacteristic
97#5210C2211yescharacteristic
98#5210C2211yescharacteristic
99#5210C2211yescharacteristic
100#5210C2211yescharacteristic
101C4×#217C2211yescharacteristic
102#4994C2211yescharacteristic, complemented
103#4987C2211yescharacteristic, complemented
104#4985C2211yescharacteristic, complemented
105#4984C2211yescharacteristic, complemented
106#4983C2211yescharacteristic, complemented
107#4981C2211yescharacteristic, complemented
108#4977C2211yescharacteristic, complemented
109#4976C2211yescharacteristic, complemented
110#4976C2211yescharacteristic, complemented
111#4975C2211yescharacteristic, complemented
112Dic3×C4⋊C4C2211yescharacteristic, complemented
113#4972C2211yescharacteristic, complemented
114#4961C2211yescharacteristic
115#4961C2211yescharacteristic
116#4959C2211yescharacteristic
117#4959C2211yescharacteristic, complemented
118#4958C2211yescharacteristic
119#4957C2211yescharacteristic
120#4957C2211yescharacteristic, complemented
121#4956C2211yescharacteristic
122#4956C2211yescharacteristic
123#4956C2211yescharacteristic
124#4953C2211yescharacteristic
125#4952C2211yescharacteristic
126#4952C2211yescharacteristic, complemented
127#4951C2211yescharacteristic
128#4950C2211yescharacteristic
129#4950C2211yescharacteristic
130#4950C2211yescharacteristic, complemented
131#4949C2211yescharacteristic
132#4949C2211yescharacteristic
133#4949C2211yescharacteristic
134#4949C2211yescharacteristic, complemented
135#4949C2211yescharacteristic, complemented
136#4948C2211yescharacteristic
137#4948C2211yescharacteristic
138#4948C2211yescharacteristic
139#4948C2211yescharacteristic, complemented
140#4948C2211yescharacteristic, complemented
141#4947C2211yescharacteristic
142#4946C2211yescharacteristic
143#4946C2211yescharacteristic
144#4946C2211yescharacteristic
145#4945C2211yescharacteristic
146#4945C2211yescharacteristic
147#4945C2211yescharacteristic, complemented
148#4944C2211yescharacteristic
149#4944C2211yescharacteristic
150#4944C2211yescharacteristic
151#4944C2211yescharacteristic
152#4944C2211yescharacteristic, complemented
153#4944C2211yescharacteristic, complemented
154#4942C2211yescharacteristic
155#4942C2211yescharacteristic
156Dic3×C22⋊C4C2211yescharacteristic
157Dic3×C22⋊C4C2211yescharacteristic, complemented
158#4676C2211yescharacteristic, complemented
159#4675C2211yescharacteristic, complemented
160#4670C2211yescharacteristic, complemented
161#4668C2211yescharacteristic, complemented
162#4668C2211yescharacteristic, complemented
163#4668C2211yescharacteristic, complemented
164#4667C2211yescharacteristic, complemented
165#4666C2211yescharacteristic, complemented
166#4661C2211yescharacteristic, complemented
167#4659C2211yescharacteristic, complemented
168#4658C2211yescharacteristic, complemented
169#4658C2211yescharacteristic, complemented
170#4657C2211yescharacteristic, complemented
171#4657C2211yescharacteristic, complemented
172#4657C2211yescharacteristic, complemented
173#4656C2211yescharacteristic, complemented
174#4655C2211yescharacteristic, complemented
175#4655C2211yescharacteristic, complemented
176#4655C2211yescharacteristic, complemented
177#4654C2211yescharacteristic, complemented
178#4654C2211yescharacteristic, complemented
179#4654C2211yescharacteristic, complemented
180#4652C2211yescharacteristic, complemented
181#4652C2211yescharacteristic, complemented
182#4650C2211yescharacteristic, complemented
183#4649C2211yescharacteristic, complemented
184#4647C2211yescharacteristic, complemented
185#4647C2211yescharacteristic, complemented
186#4647C2211yescharacteristic, complemented
187#4647C2211yescharacteristic, complemented
188#4647C2211yescharacteristic, complemented
189#4646C2211yescharacteristic, complemented
190C2×#539—31no—
191C22×#126—31no—
192#2851—31no—
193#2727—31no—
194#2723—31no—
195#2721—31no—
196#2718—31no—
197#2705—31no—
198#2695—31no—
199#2691—31no—
200#2689—31no—
201#2664—31no—
202#2636—31no—
203#2560—31no—
204#2553—31no—
205#2481—31no—
206#2481—31no—
207#2466—31no—
208#2449—31no—
209#2443—31no—
210#2442—31no—
211#2437—31no—
212#2424—31no—
213#2418—31no—
214#2418—31no—
215#2417—31no—
216#2412D311yescharacteristic, complemented
217#2358—31no—
218D4×C4⋊C4—31no—
219#2334—31no—
220C4×#121—31no—
221C25×C3C2311yescharacteristic
222C22×C3×D4C2311yescharacteristic
223C22×C3×D4C2311yescharacteristic
224C22×C3×D4C2311yescharacteristic
225C23×C3×C4C2311yescharacteristic
226C23×C3×C4C2311yescharacteristic
227C23×C3×C4C2311yescharacteristic
228C23×C3×C4C2311yescharacteristic
229C22×#67C2311yescharacteristic
230C22×#67C2311yescharacteristic
231C22×#67C2311yescharacteristic
232C22×#67C2311yescharacteristic
233C23×Dic3C2311yescharacteristic
234C23×Dic3C2311yescharacteristic
235C23×Dic3C2311yescharacteristic
236C23×Dic3C2311yescharacteristic
237C23×Dic3C2311yescharacteristic
238C22×C4×D3C2311yescharacteristic
239C22×C4×D3C2311yescharacteristic
240C22×C4×D3C2311yescharacteristic
241C22×Dic6C2311yescharacteristic
242C3×#123—24no—
243C3×#120—42no—
244C2×C3×C4⋊C4C2311yescharacteristic
245C2×C3×C4⋊C4C2311yescharacteristic
246C2×C3×C4⋊C4C2311yescharacteristic
247C2×C3×C4⋊C4C2311yescharacteristic
248C2×C3×C22⋊C4—24no—
249C2×C3×C22⋊C4—42no—
250C2×C3×C22⋊C4C2311yescharacteristic
251C2×C3×C22⋊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
265#953—24no—
266C2×#217—24no—
267C2×#217—24no—
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
287C2×#217C2311yescharacteristic
288C2×#217C2311yescharacteristic
289C2×#217C2311yescharacteristic
290C2×#217C2311yescharacteristic
291#939—24no—
292#938—24no—
293#935—24no—
294D4×Dic3—42no—
295C4×#67—24no—
296C4×#67—24no—
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×C4⋊Dic3—24no—
306C2×C4⋊Dic3C2311yescharacteristic
307C2×C4⋊Dic3C2311yescharacteristic
308C2×C4⋊Dic3C2311yescharacteristic
309C2×C4⋊Dic3C2311yescharacteristic
310C2×C4⋊Dic3C2311yescharacteristic
311C2×C4⋊Dic3C2311yescharacteristic
312C2×C4⋊Dic3C2311yescharacteristic
313C2×C4⋊Dic3C2311yescharacteristic
314C2×C4⋊Dic3C2311yescharacteristic
315C2×C4⋊Dic3C2311yescharacteristic
316C2×C4⋊Dic3C2311yescharacteristic
317C2×C4⋊Dic3C2311yescharacteristic
318#924—24no—
319C2×Dic3⋊C4—24no—
320C2×Dic3⋊C4—24no—
321C2×Dic3⋊C4C2311yescharacteristic
322C2×Dic3⋊C4C2311yescharacteristic
323C2×Dic3⋊C4C2311yescharacteristic
324C2×Dic3⋊C4C2311yescharacteristic
325C2×Dic3⋊C4C2311yescharacteristic
326C2×Dic3⋊C4C2311yescharacteristic
327C2×Dic3⋊C4C2311yescharacteristic
328C2×Dic3⋊C4C2311yescharacteristic
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×Dic3⋊C4C2311yescharacteristic
343C2×Dic3⋊C4C2311yescharacteristic
344C2×Dic3⋊C4C2311yescharacteristic
345C2×Dic3⋊C4C2311yescharacteristic
346C2×Dic3⋊C4C2311yescharacteristic
347C2×C4×Dic3—24no—
348C2×C4×Dic3C2311yescharacteristic
349C2×C4×Dic3C2311yescharacteristic
350C2×C4×Dic3C2311yescharacteristic
351C2×C4×Dic3C2311yescharacteristic
352C2×C4×Dic3C2311yescharacteristic
353C2×C4×Dic3C2311yescharacteristic
354C2×C4×Dic3C2311yescharacteristic
355C2×C4×Dic3C2311yescharacteristic
356C2×C4×Dic3C2311yescharacteristic
357C2×C4×Dic3C2311yescharacteristic
358#896—24no—
359D3×C4⋊C4—24no—
360#890—24no—
361#889—24no—
362#883—24no—
363#883—24no—
364#67⋊C4—24no—
365#67⋊C4—42no—
366#67⋊C4—42no—
367#879—24no—
368#879—24no—
369#879—24no—
370#879—24no—
371#879—24no—
372#879—24no—
373#879—24no—
374#879—24no—
375#879D418yescomplemented
376#878—24no—
377#878—42no—
378C3×#95C2311yescharacteristic
379C3×#95C2311yescharacteristic
380C3×#95C2311yescharacteristic
381C3×#95C2311yescharacteristic
382C3×#95C2311yescharacteristic
383C3×#95C2311yescharacteristic
384C3×#95C2311yescharacteristic
385C3×#95C2311yescharacteristic
386C3⋊#95C2311yescharacteristic
387C3⋊#95C2311yescharacteristic
388C3⋊#95C2311yescharacteristic
389C3⋊#95C2311yescharacteristic
390C3⋊#95C2311yescharacteristic
391C3⋊#95C2311yescharacteristic
392C3⋊#95C2311yescharacteristic
393C3⋊#95C2311yescharacteristic
394C3⋊#95C2311yescharacteristic
395C3⋊#95C2311yescharacteristic
396C3⋊#95C2311yescharacteristic
397C3⋊#95C2311yescharacteristic
398C3⋊#95C2311yescharacteristic
399C3⋊#95C2311yescharacteristic
400C3⋊#95C2311yescharacteristic
401C3⋊#95C2311yescharacteristic
402C3⋊#95C2311yescharacteristic
403C3⋊#95C2311yescharacteristic
404C3⋊#95C2311yescharacteristic
405C3⋊#95C2311yescharacteristic
406C3⋊#95C2311yescharacteristic
407C3⋊#95C2311yescharacteristic
408C3⋊#95C2311yescharacteristic
409C3⋊#95C2311yescharacteristic
410C3⋊#95C2311yescharacteristic
411C3⋊#95C2311yescharacteristic
412C3⋊#95C2311yescharacteristic
413C3⋊#95C2311yescharacteristic
414#539—68no—
415C2×#126—31no—
416C2×#126—31no—
417C2×#126—31no—
418C2×#126—31no—
419C2×#126—31no—
420C2×#126—31no—
421C2×#126—31no—
422C2×#126—31no—
423C2×#126—31no—
424C2×#126—68no—
425C2×#125—31no—
426C2×#125—31no—
427C2×#123—31no—
428C2×#123—31no—
429C2×#123—31no—
430C2×#123C2×D311yescharacteristic
431C2×C22⋊Q8—31no—
432C2×C22⋊Q8—31no—
433C2×C22⋊Q8—31no—
434C2×C22⋊Q8—31no—
435C2×#121—31no—
436C2×#121—31no—
437C2×#120—31no—
438C2×#120C2×D311yescharacteristic
439C2×C4×D4—31no—
440C2×C4×D4—31no—
441C2×C4×D4—31no—
442C2×C4×D4—31no—
443C2×C4×D4—31no—
444C2×C4×D4—31no—
445C22×C4⋊C4—31no—
446C22×C4⋊C4—31no—
447C22×C4⋊C4—31no—
448C22×C4⋊C4—31no—
449C22×C22⋊C4—31no—
450C22×C22⋊C4—31no—
451C22×C22⋊C4C2×D311yescharacteristic
452C22×C22⋊C4C2×D311yescharacteristic
453C22×C42—31no—
454#400—31no—
455#400—31no—
456#400—31no—
457#400—31no—
458#399—31no—
459#399—31no—
460#399—31no—
461#399—31no—
462#399—31no—
463#398—31no—
464#398—31no—
465#398—31no—
466#398—31no—
467#398—31no—
468#398—31no—
469#397—31no—
470#397—31no—
471#397—31no—
472#397—31no—
473#397C2×D311yescharacteristic
474#397C2×D311yescharacteristic
475#396—31no—
476#396—31no—
477#396—31no—
478#396—31no—
479#396—31no—
480#396—31no—
481#396—31no—
482#395—31no—
483#394—31no—
484#394—31no—
485#394—31no—
486#394—31no—
487#394—31no—
488#394—31no—
489#394—31no—
490#394C2×D311yescharacteristic
491#394C2×D311yescharacteristic
492#393—31no—
493#392—31no—
494#391—31no—
495#390—31no—
496#390—31no—
497#390—31no—
498#389—31no—
499#389—31no—
500#389—31no—
501#389—31no—
502#389—31no—
503#389—31no—
504#389—31no—
505#389—31no—
506#389—31no—
507#388—31no—
508#388—31no—
509#388—31no—
510#388—31no—
511#388—31no—
512#388—31no—
513#388—31no—
514#388—31no—
515#388—31no—
516#388—31no—
517#388—31no—
518#387—31no—
519#387—31no—
520#387—31no—
521#387—31no—
522#387—31no—
523#387—31no—
524#387—31no—
525#387—31no—
526#386—31no—
527#386—31no—
528#386—31no—
529#386—31no—
530#386—31no—
531#386—31no—
532#386—31no—
533#386—31no—
534#386—31no—
535#386C2×D311yescharacteristic
536#386C2×D311yescharacteristic
537#386C2×D311yescharacteristic
538#385—31no—
539#385—31no—
540#385—31no—
541#385—31no—
542#385—31no—
543#385—31no—
544#385—31no—
545#385—31no—
546#385—31no—
547#385—31no—
548#385—31no—
549#385—31no—
550#385—31no—
551#385C2×D311yescharacteristic
552#384—31no—
553#382—31no—
554#382—31no—
555#381C2×D311yescharacteristic
556#380—31no—
557#380—31no—
558#380—31no—
559#380—31no—
560#380—31no—
561#380—31no—
562#380C2×D311yescharacteristic
563#380C2×D311yescharacteristic
564#379—31no—
565C4×C4⋊C4—31no—
566C4×C4⋊C4—31no—
567C4×C22⋊C4—31no—
568C4×C22⋊C4—31no—
569C4×C22⋊C4—31no—
570C4×C22⋊C4—31no—
571C24×C3—22no—
572C24×C3—22no—
573C24×C3—22no—
574C24×C3—22no—
575C24×C3—41no—
576C24×C3—41no—
577C24×C3—41no—
578C24×C3C2411yescharacteristic
579C24×C3C2411yescharacteristic
580C24×C3C2411yescharacteristic
581C24×C3C2411yescharacteristic
582C23×D3C2411yescharacteristic
583C2×C3×D4—22no—
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—
592C22×C3×C4—22no—
593C22×C3×C4—22no—
594C22×C3×C4—22no—
595C22×C3×C4—22no—
596C22×C3×C4—22no—
597C22×C3×C4—41no—
598C22×C3×C4—41no—
599C22×C3×C4—41no—
600C22×C3×C4—41no—
601C22×C3×C4—41no—
602C22×C3×C4—41no—
603C22×C3×C4—41no—
604C22×C3×C4C2411yescharacteristic
605C22×C3×C4C2411yescharacteristic
606C22×C3×C4C2411yescharacteristic
607C22×C3×C4C2411yescharacteristic
608C22×C3×C4C2411yescharacteristic
609C22×C3×C4C2411yescharacteristic
610C22×C3×C4C2411yescharacteristic
611C22×C3×C4C2411yescharacteristic
612C22×C3×C4C2411yescharacteristic
613C22×C3×C4C2411yescharacteristic
614C22×C3×C4C2411yescharacteristic
615C2×#67—22no—
616C2×#67—22no—
617C2×#67—22no—
618C2×#67—22no—
619C2×#67—22no—
620C2×#67—22no—
621C2×#67—22no—
622C2×#67—41no—
623C2×#67—41no—
624C2×#67—41no—
625C2×#67—41no—
626C2×#67#4114yes—
627C22×Dic3—22no—
628C22×Dic3—22no—
629C22×Dic3—22no—
630C22×Dic3—22no—
631C22×Dic3—22no—
632C22×Dic3—22no—
633C22×Dic3—22no—
634C22×Dic3—22no—
635C22×Dic3—22no—
636C22×Dic3—41no—
637C22×Dic3—41no—
638C22×Dic3—41no—
639C22×Dic3—41no—
640C22×Dic3—41no—
641C22×Dic3—41no—
642C22×Dic3C2411yescharacteristic
643C22×Dic3C2411yescharacteristic
644C22×Dic3C2411yescharacteristic
645C22×Dic3C2411yescharacteristic
646C22×Dic3C2411yescharacteristic
647C22×Dic3C2411yescharacteristic
648C22×Dic3C2411yescharacteristic
649C22×Dic3C2411yescharacteristic
650C22×Dic3C2411yescharacteristic
651C22×Dic3C2411yescharacteristic
652C22×Dic3C2411yescharacteristic
653C22×Dic3C2411yescharacteristic
654C22×Dic3C2411yescharacteristic
655C22×Dic3C2411yescharacteristic
656C22×Dic3C2411yescharacteristic
657C2×C4×D3—22no—
658C2×C4×D3—22no—
659C2×C4×D3—22no—
660C2×C4×D3—22no—
661C2×C4×D3—41no—
662C2×C4×D3—41no—
663C2×C4×D3—41no—
664C2×C4×D3—41no—
665C2×C4×D3—41no—
666C2×Dic6—22no—
667C2×Dic6—41no—
668C2×Dic6—41no—
669C3×C4⋊C4—22no—
670C3×C4⋊C4—22no—
671C3×C4⋊C4—41no—
672C3×C4⋊C4—41no—
673C3×C22⋊C4—22no—
674C3×C22⋊C4—22no—
675C3×C22⋊C4—22no—
676C3×C22⋊C4—22no—
677C3×C22⋊C4—22no—
678C3×C22⋊C4—22no—
679C3×C22⋊C4—22no—
680C3×C22⋊C4—22no—
681C3×C22⋊C4—41no—
682C3×C22⋊C4—41no—
683C3×C22⋊C4—41no—
684C3×C22⋊C4—41no—
685C3×C22⋊C4—41no—
686C3×C22⋊C4—41no—
687C3×C22⋊C4C2×D414yes—
688#217—22no—
689#217—22no—
690#217—22no—
691#217—22no—
692#217—22no—
693#217—22no—
694#217—22no—
695#217—22no—
696#217—22no—
697#217—22no—
698#217—22no—
699#217—22no—
700#217—22no—
701#217—22no—
702#217—22no—
703#217—41no—
704#217—41no—
705#217—41no—
706#217—41no—
707#217—41no—
708#217—41no—
709#217C2×D414yes—
710#217C2×D414yes—
711(C2×D3)⋊C4—22no—
712(C2×D3)⋊C4—22no—
713(C2×D3)⋊C4—22no—
714(C2×D3)⋊C4—22no—
715(C2×D3)⋊C4—41no—
716(C2×D3)⋊C4—41no—
717(C2×D3)⋊C4—41no—
718(C2×D3)⋊C4—41no—
719C4⋊Dic3—22no—
720C4⋊Dic3—22no—
721C4⋊Dic3—22no—
722C4⋊Dic3—22no—
723C4⋊Dic3—22no—
724C4⋊Dic3—22no—
725C4⋊Dic3—41no—
726C4⋊Dic3—41no—
727C4⋊Dic3—41no—
728C4⋊Dic3—41no—
729C4⋊Dic3—41no—
730C4⋊Dic3C2×D414yes—
731Dic3⋊C4—22no—
732Dic3⋊C4—22no—
733Dic3⋊C4—22no—
734Dic3⋊C4—22no—
735Dic3⋊C4—22no—
736Dic3⋊C4—22no—
737Dic3⋊C4—22no—
738Dic3⋊C4—22no—
739Dic3⋊C4—22no—
740Dic3⋊C4—22no—
741Dic3⋊C4—22no—
742Dic3⋊C4—22no—
743Dic3⋊C4—22no—
744Dic3⋊C4—22no—
745Dic3⋊C4—41no—
746Dic3⋊C4—41no—
747Dic3⋊C4—41no—
748Dic3⋊C4—41no—
749Dic3⋊C4—41no—
750Dic3⋊C4—41no—
751Dic3⋊C4—41no—
752Dic3⋊C4—41no—
753Dic3⋊C4—41no—
754Dic3⋊C4—41no—
755Dic3⋊C4C2×D414yes—
756Dic3⋊C4C2×D414yes—
757C4×Dic3—22no—
758C4×Dic3—22no—
759C4×Dic3—22no—
760C4×Dic3—22no—
761C4×Dic3—22no—
762C4×Dic3—41no—
763C4×Dic3—41no—
764C4×Dic3—41no—
765C4×Dic3—41no—
766C4×Dic3C2×D414yes—
767C25C22×D311yescharacteristic
768C22×Q8—31no—
769C22×D4—31no—
770C22×D4—31no—
771C22×D4—31no—
772C22×D4—31no—
773C22×D4C22×D311yescharacteristic
774C22×D4C22×D311yescharacteristic
775C22×D4C22×D311yescharacteristic
776C23×C4—31no—
777C23×C4—31no—
778C23×C4—31no—
779C23×C4—31no—
780C23×C4—31no—
781C23×C4—31no—
782C23×C4—31no—
783C23×C4—31no—
784C23×C4C22×D311yescharacteristic
785C23×C4C22×D311yescharacteristic
786C23×C4C22×D311yescharacteristic
787C23×C4C22×D311yescharacteristic
788#126—38no—
789#126—64no—
790#126—64no—
791#126—64no—
792#126—64no—
793#126—64no—
794#126—64no—
795#126—64no—
796#126—64no—
797#125—64no—
798#125—64no—
799#123—24no—
800#123—64no—
801#123—64no—
802#123—64no—
803C22⋊Q8—64no—
804C22⋊Q8—64no—
805C22⋊Q8—64no—
806C22⋊Q8—122no—
807#121—64no—
808#121—64no—
809#120—42no—
810#120—64no—
811C4×D4—64no—
812C4×D4—64no—
813C4×D4—64no—
814C4×D4—122no—
815C4×D4—122no—
816C4×D4—122no—
817C2×C4⋊C4—31no—
818C2×C4⋊C4—31no—
819C2×C4⋊C4—31no—
820C2×C4⋊C4—31no—
821C2×C4⋊C4—31no—
822C2×C4⋊C4—31no—
823C2×C4⋊C4—31no—
824C2×C4⋊C4—31no—
825C2×C4⋊C4—31no—
826C2×C4⋊C4—31no—
827C2×C4⋊C4—31no—
828C2×C4⋊C4—31no—
829C2×C4⋊C4—31no—
830C2×C4⋊C4—31no—
831C2×C4⋊C4—31no—
832C2×C4⋊C4—31no—
833C2×C4⋊C4—31no—
834C2×C4⋊C4—31no—
835C2×C4⋊C4—31no—
836C2×C4⋊C4—31no—
837C2×C4⋊C4—31no—
838C2×C4⋊C4—31no—
839C2×C4⋊C4—31no—
840C2×C4⋊C4—31no—
841C2×C4⋊C4—31no—
842C2×C4⋊C4—31no—
843C2×C4⋊C4—31no—
844C2×C4⋊C4—31no—
845C2×C4⋊C4—31no—
846C2×C4⋊C4—31no—
847C2×C4⋊C4—31no—
848C2×C4⋊C4—31no—
849C2×C4⋊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—64no—
856C2×C4⋊C4—64no—
857C2×C4⋊C4—64no—
858C2×C4⋊C4—64no—
859C2×C4⋊C4C22×D311yescharacteristic
860C2×C4⋊C4C22×D311yescharacteristic
861C2×C4⋊C4C22×D311yescharacteristic
862C2×C4⋊C4C22×D311yescharacteristic
863C2×C22⋊C4—24no—
864C2×C22⋊C4—31no—
865C2×C22⋊C4—31no—
866C2×C22⋊C4—31no—
867C2×C22⋊C4—31no—
868C2×C22⋊C4—31no—
869C2×C22⋊C4—31no—
870C2×C22⋊C4—31no—
871C2×C22⋊C4—31no—
872C2×C22⋊C4—31no—
873C2×C22⋊C4—31no—
874C2×C22⋊C4—31no—
875C2×C22⋊C4—31no—
876C2×C22⋊C4—31no—
877C2×C22⋊C4—31no—
878C2×C22⋊C4—31no—
879C2×C22⋊C4—31no—
880C2×C22⋊C4—31no—
881C2×C22⋊C4—31no—
882C2×C22⋊C4—31no—
883C2×C22⋊C4—31no—
884C2×C22⋊C4—31no—
885C2×C22⋊C4—31no—
886C2×C22⋊C4—31no—
887C2×C22⋊C4—31no—
888C2×C22⋊C4—31no—
889C2×C22⋊C4—31no—
890C2×C22⋊C4—31no—
891C2×C22⋊C4—31no—
892C2×C22⋊C4—31no—
893C2×C22⋊C4—31no—
894C2×C22⋊C4—31no—
895C2×C22⋊C4—42no—
896C2×C22⋊C4—64no—
897C2×C22⋊C4—64no—
898C2×C22⋊C4C22×D311yescharacteristic
899C2×C22⋊C4C22×D311yescharacteristic
900C2×C22⋊C4C22×D311yescharacteristic
901C2×C22⋊C4C22×D311yescharacteristic
902C2×C22⋊C4C22×D311yescharacteristic
903C2×C22⋊C4C22×D311yescharacteristic
904C2×C22⋊C4C22×D311yescharacteristic
905C2×C22⋊C4C22×D311yescharacteristic
906C2×C22⋊C4C22×D311yescharacteristic
907C2×C22⋊C4C22×D311yescharacteristic
908C2×C22⋊C4C22×D311yescharacteristic
909C2×C22⋊C4C22×D311yescharacteristic
910C2×C22⋊C4C22×D311yescharacteristic
911C2×C22⋊C4C22×D311yescharacteristic
912C2×C22⋊C4C22×D311yescharacteristic
913C2×C42—31no—
914C2×C42—31no—
915C2×C42—31no—
916C2×C42—31no—
917C2×C42—31no—
918C2×C42—31no—
919C2×C42—31no—
920C2×C42—31no—
921C2×C42—31no—
922C2×C42—31no—
923C2×C42—64no—
924#95—31no—
925#95—31no—
926#95—31no—
927#95—31no—
928#95—31no—
929#95—31no—
930#95—31no—
931#95—31no—
932#95—31no—
933#95—31no—
934#95—31no—
935#95—31no—
936#95—31no—
937#95—31no—
938#95—31no—
939#95—31no—
940#95—31no—
941#95—31no—
942#95—31no—
943#95—31no—
944#95—31no—
945#95—31no—
946#95—31no—
947#95—31no—
948#95—31no—
949#95—31no—
950#95—31no—
951#95—31no—
952#95C22×D311yescharacteristic
953#95C22×D311yescharacteristic
954#95C22×D311yescharacteristic
955#95C22×D311yescharacteristic
956#95C22×D311yescharacteristic
957#95C22×D311yescharacteristic
958#95C22×D311yescharacteristic
959#95C22×D311yescharacteristic
960C23×C3—21no—
961C23×C3—21no—
962C23×C3—21no—
963C23×C3—21no—
964C23×C3—21no—
965C23×C3—21no—
966C23×C3—21no—
967C23×C3—21no—
968C23×C3—21no—
969C23×C3—21no—
970C23×C3—21no—
971C23×C3—21no—
972C23×C3—21no—
973C23×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—44no—
985C23×C3—44no—
986C23×C3—44no—
987C23×C3—44no—
988C23×C3—82no—
989C23×C3—82no—
990C23×C3—82no—
991C23×C3C22×D412yes—
992C23×C3C2×#4112yes—
993C23×C3H(5,𝔽2)12yes—
994C23×C32−1+412yes—
995C23×C3C2511yescharacteristic
996C22×D3—21no—
997C22×D3—21no—
998C22×D3—21no—
999C22×D3—21no—
1000C22×D3—21no—
1001C22×D3—21no—
1002C22×D3C2×#4112yes—
1003C3×D4—44no—
1004C3×D4—82no—
1005C3×D4—82no—
1006C2×C3×C4—21no—
1007C2×C3×C4—21no—
1008C2×C3×C4—21no—
1009C2×C3×C4—21no—
1010C2×C3×C4—21no—
1011C2×C3×C4—21no—
1012C2×C3×C4—21no—
1013C2×C3×C4—21no—
1014C2×C3×C4—21no—
1015C2×C3×C4—21no—
1016C2×C3×C4—21no—
1017C2×C3×C4—21no—
1018C2×C3×C4—21no—
1019C2×C3×C4—21no—
1020C2×C3×C4—21no—
1021C2×C3×C4—21no—
1022C2×C3×C4—21no—
1023C2×C3×C4—21no—
1024C2×C3×C4—21no—
1025C2×C3×C4—21no—
1026C2×C3×C4—21no—
1027C2×C3×C4—21no—
1028C2×C3×C4—21no—
1029C2×C3×C4—21no—
1030C2×C3×C4—21no—
1031C2×C3×C4—21no—
1032C2×C3×C4—21no—
1033C2×C3×C4—21no—
1034C2×C3×C4—21no—
1035C2×C3×C4—21no—
1036C2×C3×C4—21no—
1037C2×C3×C4—44no—
1038C2×C3×C4—44no—
1039C2×C3×C4—82no—
1040C2×C3×C4—82no—
1041C2×C3×C4C22×D412yes—
1042C2×C3×C4C22×D412yes—
1043#67—28no—
1044#67—44no—
1045#67—44no—
1046#67—82no—
1047C2×Dic3—21no—
1048C2×Dic3—21no—
1049C2×Dic3—21no—
1050C2×Dic3—21no—
1051C2×Dic3—21no—
1052C2×Dic3—21no—
1053C2×Dic3—21no—
1054C2×Dic3—21no—
1055C2×Dic3—21no—
1056C2×Dic3—21no—
1057C2×Dic3—21no—
1058C2×Dic3—21no—
1059C2×Dic3—21no—
1060C2×Dic3—21no—
1061C2×Dic3—21no—
1062C2×Dic3—21no—
1063C2×Dic3—21no—
1064C2×Dic3—21no—
1065C2×Dic3—21no—
1066C2×Dic3—21no—
1067C2×Dic3—21no—
1068C2×Dic3—21no—
1069C2×Dic3—21no—
1070C2×Dic3—21no—
1071C2×Dic3—21no—
1072C2×Dic3—21no—
1073C2×Dic3—21no—
1074C2×Dic3—21no—
1075C2×Dic3—21no—
1076C2×Dic3—21no—
1077C2×Dic3—21no—
1078C2×Dic3—21no—
1079C2×Dic3—21no—
1080C2×Dic3—21no—
1081C2×Dic3—21no—
1082C2×Dic3—21no—
1083C2×Dic3—21no—
1084C2×Dic3—21no—
1085C2×Dic3—21no—
1086C2×Dic3—21no—
1087C2×Dic3—44no—
1088C2×Dic3—44no—
1089C2×Dic3—44no—
1090C2×Dic3—44no—
1091C2×Dic3—82no—
1092C2×Dic3C22×D412yes—
1093C2×Dic3C22×D412yes—
1094C2×Dic3C22×D412yes—
1095C2×Dic3C22×D412yes—
1096C2×Dic3C2×#4112yes—
1097C4×D3—44no—
1098C4×D3—82no—
1099C4×D3—82no—
1100Dic6—82no—
1101C24—22no—
1102C24—22no—
1103C24—22no—
1104C24—22no—
1105C24—31no—
1106C24—41no—
1107C24—41no—
1108C24—41no—
1109C24C23×D311yescharacteristic
1110C24C23×D311yescharacteristic
1111C24C23×D311yescharacteristic
1112C24C23×D311yescharacteristic
1113C2×Q8—62no—
1114C2×Q8—121no—
1115C2×Q8—121no—
1116C2×D4—22no—
1117C2×D4—22no—
1118C2×D4—22no—
1119C2×D4—22no—
1120C2×D4—34no—
1121C2×D4—41no—
1122C2×D4—41no—
1123C2×D4—41no—
1124C2×D4—41no—
1125C2×D4—41no—
1126C2×D4—62no—
1127C2×D4—62no—
1128C2×D4—62no—
1129C2×D4—62no—
1130C2×D4—62no—
1131C2×D4—62no—
1132C2×D4—62no—
1133C2×D4—121no—
1134C2×D4—121no—
1135C2×D4—121no—
1136C2×D4—121no—
1137C22×C4—22no—
1138C22×C4—22no—
1139C22×C4—22no—
1140C22×C4—22no—
1141C22×C4—22no—
1142C22×C4—31no—
1143C22×C4—31no—
1144C22×C4—31no—
1145C22×C4—31no—
1146C22×C4—31no—
1147C22×C4—31no—
1148C22×C4—31no—
1149C22×C4—31no—
1150C22×C4—31no—
1151C22×C4—31no—
1152C22×C4—31no—
1153C22×C4—31no—
1154C22×C4—31no—
1155C22×C4—31no—
1156C22×C4—31no—
1157C22×C4—41no—
1158C22×C4—41no—
1159C22×C4—41no—
1160C22×C4—41no—
1161C22×C4—41no—
1162C22×C4—41no—
1163C22×C4—41no—
1164C22×C4—62no—
1165C22×C4—62no—
1166C22×C4—62no—
1167C22×C4—62no—
1168C22×C4—62no—
1169C22×C4—62no—
1170C22×C4—62no—
1171C22×C4—62no—
1172C22×C4—62no—
1173C22×C4—62no—
1174C22×C4—62no—
1175C22×C4—62no—
1176C22×C4—62no—
1177C22×C4—121no—
1178C22×C4—121no—
1179C22×C4—121no—
1180C22×C4—121no—
1181C22×C4—121no—
1182C22×C4—121no—
1183C22×C4—121no—
1184C22×C4—121no—
1185C22×C4—121no—
1186C22×C4—121no—
1187C22×C4—121no—
1188C22×C4C23×D311yescharacteristic
1189C22×C4C23×D311yescharacteristic
1190C22×C4C23×D311yescharacteristic
1191C22×C4C23×D311yescharacteristic
1192C22×C4C23×D311yescharacteristic
1193C22×C4C23×D311yescharacteristic
1194C22×C4C23×D311yescharacteristic
1195C22×C4C23×D311yescharacteristic
1196C22×C4C23×D311yescharacteristic
1197C22×C4C23×D311yescharacteristic
1198C22×C4C23×D311yescharacteristic
1199C4⋊C4—22no—
1200C4⋊C4—22no—
1201C4⋊C4—34no—
1202C4⋊C4—34no—
1203C4⋊C4—34no—
1204C4⋊C4—41no—
1205C4⋊C4—41no—
1206C4⋊C4—62no—
1207C4⋊C4—62no—
1208C4⋊C4—62no—
1209C4⋊C4—62no—
1210C4⋊C4—62no—
1211C4⋊C4—62no—
1212C4⋊C4—62no—
1213C4⋊C4—62no—
1214C4⋊C4—62no—
1215C4⋊C4—62no—
1216C4⋊C4—62no—
1217C4⋊C4—62no—
1218C4⋊C4—62no—
1219C4⋊C4—62no—
1220C4⋊C4—62no—
1221C4⋊C4—62no—
1222C4⋊C4—62no—
1223C4⋊C4—62no—
1224C4⋊C4—62no—
1225C4⋊C4—62no—
1226C4⋊C4—121no—
1227C4⋊C4—121no—
1228C4⋊C4—121no—
1229C4⋊C4—121no—
1230C4⋊C4—121no—
1231C4⋊C4—121no—
1232C4⋊C4—121no—
1233C4⋊C4—121no—
1234C4⋊C4—121no—
1235C4⋊C4—121no—
1236C4⋊C4—121no—
1237C4⋊C4—121no—
1238C4⋊C4—121no—
1239C4⋊C4—121no—
1240C4⋊C4—121no—
1241C22⋊C4—22no—
1242C22⋊C4—22no—
1243C22⋊C4—22no—
1244C22⋊C4—22no—
1245C22⋊C4—22no—
1246C22⋊C4—22no—
1247C22⋊C4—22no—
1248C22⋊C4—22no—
1249C22⋊C4—34no—
1250C22⋊C4—34no—
1251C22⋊C4—41no—
1252C22⋊C4—41no—
1253C22⋊C4—41no—
1254C22⋊C4—41no—
1255C22⋊C4—41no—
1256C22⋊C4—41no—
1257C22⋊C4—62no—
1258C22⋊C4—62no—
1259C22⋊C4—62no—
1260C22⋊C4—62no—
1261C22⋊C4—62no—
1262C22⋊C4—62no—
1263C22⋊C4—62no—
1264C22⋊C4—62no—
1265C22⋊C4—62no—
1266C22⋊C4—62no—
1267C22⋊C4—62no—
1268C22⋊C4—62no—
1269C22⋊C4—62no—
1270C22⋊C4—62no—
1271C22⋊C4—62no—
1272C22⋊C4—62no—
1273C22⋊C4—62no—
1274C22⋊C4—62no—
1275C22⋊C4—62no—
1276C22⋊C4—121no—
1277C22⋊C4—121no—
1278C22⋊C4—121no—
1279C22⋊C4—121no—
1280C22⋊C4—121no—
1281C22⋊C4—121no—
1282C22⋊C4—121no—
1283C22⋊C4—121no—
1284C22⋊C4—121no—
1285C22⋊C4—121no—
1286C22⋊C4D3×D414yes—
1287C42—34no—
1288C42—62no—
1289C42—62no—
1290C42—62no—
1291C42—62no—
1292C42—62no—
1293C42—121no—
1294C42—121no—
1295C42—121no—
1296C42—121no—
1297C22×C3—22no—
1298C22×C3—22no—
1299C22×C3—22no—
1300C22×C3—22no—
1301C22×C3—22no—
1302C22×C3—22no—
1303C22×C3—22no—
1304C22×C3—22no—
1305C22×C3—22no—
1306C22×C3—41no—
1307C22×C3—41no—
1308C22×C3—41no—
1309C22×C3—41no—
1310C22×C3—41no—
1311C22×C3—41no—
1312C22×C3—41no—
1313C22×C3—41no—
1314C22×C3—41no—
1315C22×C3—41no—
1316C22×C3—41no—
1317C22×C3—41no—
1318C22×C3—41no—
1319C22×C3—41no—
1320C22×C3—41no—
1321C22×C3—41no—
1322C22×C3—41no—
1323C22×C3—41no—
1324C22×C3—88no—
1325C22×C3#53914yescomplemented
1326C22×C3C23×D411yescharacteristic
1327C22×C3C22×#4111yescharacteristic
1328C22×C3C2×H(5,𝔽2)11yescharacteristic
1329C22×C3C2×2−1+411yescharacteristic
1330C22×C3#58511yescharacteristic
1331C22×C3#58511yescharacteristic
1332C22×C3#58511yescharacteristic
1333C2×D3—22no—
1334C2×D3—22no—
1335C2×D3—22no—
1336C2×D3—41no—
1337C2×D3—41no—
1338C2×D3—41no—
1339C2×D3—41no—
1340C3×C4—22no—
1341C3×C4—22no—
1342C3×C4—41no—
1343C3×C4—41no—
1344C3×C4—41no—
1345C3×C4—41no—
1346C3×C4—41no—
1347C3×C4—41no—
1348C3×C4—41no—
1349C3×C4—41no—
1350C3×C4—41no—
1351Dic3—22no—
1352Dic3—22no—
1353Dic3—22no—
1354Dic3—22no—
1355Dic3—22no—
1356Dic3—41no—
1357Dic3—41no—
1358Dic3—41no—
1359Dic3—41no—
1360Dic3—41no—
1361Dic3—41no—
1362Dic3—41no—
1363Dic3—41no—
1364Dic3—41no—
1365Dic3—41no—
1366C23—21no—
1367C23—21no—
1368C23—21no—
1369C23—21no—
1370C23—21no—
1371C23—21no—
1372C23—21no—
1373C23—21no—
1374C23—21no—
1375C23—21no—
1376C23—21no—
1377C23—21no—
1378C23—21no—
1379C23—21no—
1380C23—21no—
1381C23—21no—
1382C23—21no—
1383C23—21no—
1384C23—21no—
1385C23—21no—
1386C23—21no—
1387C23—21no—
1388C23—21no—
1389C23—21no—
1390C23—32no—
1391C23—44no—
1392C23—44no—
1393C23—44no—
1394C23—44no—
1395C23—61no—
1396C23—61no—
1397C23—61no—
1398C23—61no—
1399C23—61no—
1400C23—61no—
1401C23—82no—
1402C23—82no—
1403C23—82no—
1404C23C2×D3×D412yes—
1405C23#100412yes—
1406C23D3×#4112yes—
1407C23#101012yes—
1408C23C24×D311yescharacteristic
1409Q8—242no—
1410D4—44no—
1411D4—68no—
1412D4—82no—
1413D4—82no—
1414D4—124no—
1415D4—124no—
1416D4—242no—
1417C2×C4—21no—
1418C2×C4—21no—
1419C2×C4—21no—
1420C2×C4—21no—
1421C2×C4—21no—
1422C2×C4—21no—
1423C2×C4—21no—
1424C2×C4—21no—
1425C2×C4—21no—
1426C2×C4—21no—
1427C2×C4—21no—
1428C2×C4—21no—
1429C2×C4—21no—
1430C2×C4—21no—
1431C2×C4—21no—
1432C2×C4—21no—
1433C2×C4—21no—
1434C2×C4—21no—
1435C2×C4—21no—
1436C2×C4—21no—
1437C2×C4—21no—
1438C2×C4—21no—
1439C2×C4—21no—
1440C2×C4—21no—
1441C2×C4—21no—
1442C2×C4—21no—
1443C2×C4—21no—
1444C2×C4—21no—
1445C2×C4—21no—
1446C2×C4—21no—
1447C2×C4—21no—
1448C2×C4—32no—
1449C2×C4—32no—
1450C2×C4—32no—
1451C2×C4—32no—
1452C2×C4—32no—
1453C2×C4—44no—
1454C2×C4—44no—
1455C2×C4—61no—
1456C2×C4—61no—
1457C2×C4—61no—
1458C2×C4—61no—
1459C2×C4—61no—
1460C2×C4—61no—
1461C2×C4—61no—
1462C2×C4—61no—
1463C2×C4—61no—
1464C2×C4—61no—
1465C2×C4—61no—
1466C2×C4—61no—
1467C2×C4—61no—
1468C2×C4—61no—
1469C2×C4—61no—
1470C2×C4—61no—
1471C2×C4—61no—
1472C2×C4—61no—
1473C2×C4—61no—
1474C2×C4—61no—
1475C2×C4—61no—
1476C2×C4—61no—
1477C2×C4—61no—
1478C2×C4—61no—
1479C2×C4—61no—
1480C2×C4—61no—
1481C2×C4—61no—
1482C2×C4—61no—
1483C2×C4—61no—
1484C2×C4—61no—
1485C2×C4—61no—
1486C2×C4—61no—
1487C2×C4—61no—
1488C2×C4—61no—
1489C2×C4—61no—
1490C2×C4—61no—
1491C2×C4—61no—
1492C2×C4—61no—
1493C2×C4—61no—
1494C2×C4—61no—
1495C2×C4—82no—
1496C2×C4—82no—
1497C2×C4—124no—
1498C2×C4—124no—
1499C2×C4—124no—
1500C2×C4—124no—
1501C2×C4—124no—
1502C2×C4—242no—
1503C2×C4—242no—
1504C2×C4—242no—
1505C2×C4C2×D3×D412yes—
1506C2×C4C2×D3×D412yes—
1507C2×C3—24no—
1508C2×C3—42no—
1509C2×C3—81no—
1510C2×C3—81no—
1511C2×C3C2×#53911yescharacteristic
1512C2×C3D4×#4111yescharacteristic
1513C2×C3#348811yescharacteristic
1514C2×C3#348911yescharacteristic
1515C2×C3#352111yescharacteristic
1516C2×C3#356011yescharacteristic
1517C2×C3#356411yescharacteristic
1518D3—42no—
1519C22—22no—
1520C22—22no—
1521C22—22no—
1522C22—22no—
1523C22—22no—
1524C22—22no—
1525C22—22no—
1526C22—22no—
1527C22—22no—
1528C22—41no—
1529C22—41no—
1530C22—41no—
1531C22—41no—
1532C22—41no—
1533C22—41no—
1534C22—41no—
1535C22—41no—
1536C22—41no—
1537C22—41no—
1538C22—41no—
1539C22—41no—
1540C22—41no—
1541C22—41no—
1542C22—41no—
1543C22—41no—
1544C22—41no—
1545C22—41no—
1546C22—62no—
1547C22—62no—
1548C22—62no—
1549C22—88no—
1550C22—121no—
1551C22—121no—
1552C22—121no—
1553C22—121no—
1554C22#566014yescomplemented
1555C22C22×D3×D411yescharacteristic
1556C22C2×#100411yescharacteristic
1557C22C2×D3×#4111yescharacteristic
1558C22C2×#101011yescharacteristic
1559C22#596411yescharacteristic
1560C22#596611yescharacteristic
1561C22#596611yescharacteristic
1562C4—22no—
1563C4—22no—
1564C4—41no—
1565C4—41no—
1566C4—41no—
1567C4—41no—
1568C4—41no—
1569C4—41no—
1570C4—41no—
1571C4—41no—
1572C4—41no—
1573C4—62no—
1574C4—62no—
1575C4—62no—
1576C4—62no—
1577C4—62no—
1578C4—121no—
1579C4—121no—
1580C4—121no—
1581C4—121no—
1582C4—121no—
1583C4—121no—
1584C4—121no—
1585C4—121no—
1586C4—121no—
1587C4—121no—
1588C3#3772411yescharacteristic, complemented, Sylow
1589C2—24no—
1590C2—42no—
1591C2—81no—
1592C2—81no—
1593C2—122no—
1594C2#8594911yescharacteristic
1595C2C2×#566011yescharacteristic
1596C2#8630611yescharacteristic
1597C2#8662611yescharacteristic
1598C2#8663011yescharacteristic
1599C2#8680011yescharacteristic
1600C2#8681011yescharacteristic
subgroupG/H
center, FrattiniC23C24×D3
commutator, socle, cosocleC23×C3C25
FittingC3×#2412C2
prime radical#82586C2
hypercenter#2412D3
hypocenterC3#37724
LCSG ▷ C23×C3 ▷ C3
UCSC1 ◁ C23 ◁ #2412

Complements

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

NH ≅ G/Ntype
1. C2×#5660C2semidirect
2. C22×#879C2semidirect
3. C3×#2412C2semidirect
4. #82887C2semidirect
6. #82585C2semidirect
7. #82128C2semidirect
8. #82110C2semidirect
9. #82099C2semidirect
10. #77593C2semidirect
11. #77590C2semidirect
12. #77566C2semidirect
13. #77483C2semidirect
14. #77042C2semidirect
15. #77024C2semidirect
16. #76981C2semidirect
17. #76954C2semidirect
18. #74801C2semidirect
19. #74754C2semidirect
20. #74736C2semidirect
21. #74710C2semidirect
22. #74702C2semidirect
23. #74660C2semidirect
24. #74520C2semidirect
25. #74389C2semidirect
26. #74095C2semidirect
27. #74071C2semidirect
28. #74010C2semidirect
29. #73998C2semidirect
30. #73902C2semidirect
31. #73889C2semidirect
52. C2×#896C22semidirect
53. C2×D3×C4⋊C4C22semidirect
54. C2×#890C22semidirect
55. C2×#889C22semidirect
57. C2×#883C22semidirect
60. C2×#67⋊C4C22semidirect
70. C2×#879C22semidirect
72. C2×#878C22semidirect
102. #4994C22semidirect
103. #4987C22semidirect
104. #4985C22semidirect
105. #4984C22semidirect
106. #4983C22semidirect
107. #4981C22semidirect
108. #4977C22semidirect
109. #4976C22semidirect
110. #4976C22semidirect
111. #4975C22semidirect
112. Dic3×C4⋊C4C22semidirect
113. #4972C22semidirect
117. #4959C22semidirect
120. #4957C22semidirect
126. #4952C22semidirect
130. #4950C22semidirect
134. #4949C22semidirect
135. #4949C22semidirect
139. #4948C22semidirect
140. #4948C22semidirect
147. #4945C22semidirect
152. #4944C22semidirect
153. #4944C22semidirect
157. Dic3×C22⋊C4C22semidirect
158. #4676C22semidirect
159. #4675C22semidirect
160. #4670C22semidirect
161. #4668C22semidirect
162. #4668C22semidirect
163. #4668C22semidirect
164. #4667C22semidirect
165. #4666C22semidirect
166. #4661C22semidirect
167. #4659C22semidirect
168. #4658C22semidirect
169. #4658C22semidirect
170. #4657C22semidirect
171. #4657C22semidirect
172. #4657C22semidirect
173. #4656C22semidirect
174. #4655C22semidirect
175. #4655C22semidirect
176. #4655C22semidirect
177. #4654C22semidirect
178. #4654C22semidirect
179. #4654C22semidirect
180. #4652C22semidirect
181. #4652C22semidirect
182. #4650C22semidirect
183. #4649C22semidirect
184. #4647C22semidirect
185. #4647C22semidirect
186. #4647C22semidirect
187. #4647C22semidirect
188. #4647C22semidirect
189. #4646C22semidirect
216. #2412D3semidirect
375. #879D4semidirect
1325. C22×C3#539semidirect
1554. C22#5660semidirect
1588. C3#37724semidirect

Maximal subgroups

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

subgroupindex
C2×#56602
C22×#8792
C3×#24122
#828872
#825862
#825852
#821282
#821102
#820992
#775932
#775902
#775662
#774832
#770422
#770242
#769812
#769542
#748012
#747542
#747362
#747102
#747022
#746602
#745202
#743892
#740952
#740712
#740102
#739982
#739022
#738892
#377243