Finite Group Databasebeta

← #11069661

Subgroups — #11069661

Order 768.

2766 conjugacy classes of subgroups.

The subgroup lattice has 1978 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#5663C211yesmaximal, characteristic, complemented
2C2×#5615C211yesmaximal, characteristic, complemented
3C3×#2673C211yesmaximal, characteristic, complemented
4#83185C211yesmaximal, characteristic, complemented
5#83182C211yesmaximal, characteristic, complemented
6#82849C211yesmaximal, characteristic, complemented
7#82669C211yesmaximal, characteristic, complemented
8#82669C211yesmaximal, characteristic, complemented
9#82650C211yesmaximal, characteristic, complemented
10#76971C211yesmaximal, characteristic, complemented
11#76907C211yesmaximal, characteristic, complemented
12#76906C211yesmaximal, characteristic, complemented
13#76903C211yesmaximal, characteristic, complemented
14#76769C211yesmaximal, characteristic, complemented
15#76712C211yesmaximal, characteristic, complemented
16#76698C211yesmaximal, characteristic, complemented
17#76688C211yesmaximal, characteristic, complemented
18#76688C211yesmaximal, characteristic, complemented
19#76688C211yesmaximal, characteristic, complemented
20#76688C211yesmaximal, characteristic, complemented
21#76671C211yesmaximal, characteristic, complemented
22#75914C211yesmaximal, characteristic, complemented
23#75450C211yesmaximal, characteristic, complemented
24#75387C211yesmaximal, characteristic, complemented
25#74943C211yesmaximal, characteristic, complemented
26#74915C211yesmaximal, characteristic, complemented
27#74791C211yesmaximal, characteristic, complemented
28#74708C211yesmaximal, characteristic, complemented
29#74698C211yesmaximal, characteristic, complemented
30#74679C211yesmaximal, characteristic, complemented
31#74679C211yesmaximal, characteristic, complemented
32#39386—31nomaximal, Sylow
33C2×C3×#127C2211yescharacteristic
34C2×C3×#123C2211yescharacteristic
35C2×C3×#121C2211yescharacteristic
36C2×C3×#121C2211yescharacteristic
37C2×#940C2211yescharacteristic
38C2×#940C2211yescharacteristic
39C2×#940C2211yescharacteristic
40C2×#940C2211yescharacteristic
41C2×#940C2211yescharacteristic
42C2×#940C2211yescharacteristic
43C2×#940C2211yescharacteristic
44C2×#940C2211yescharacteristic
45C2×#940C2211yescharacteristic
46C2×#940C2211yescharacteristic
47C2×#940C2211yescharacteristic
48C2×#940C2211yescharacteristic
49C2×#940C2211yescharacteristic
50C2×#940C2211yescharacteristic
51C2×#940C2211yescharacteristic
52C2×#940C2211yescharacteristic
53C2×#939C2211yescharacteristic
54C2×#939C2211yescharacteristic
55C2×#939C2211yescharacteristic
56C2×#939C2211yescharacteristic
57C2×#939C2211yescharacteristic
58C2×#939C2211yescharacteristic
59C2×#939C2211yescharacteristic
60C2×#939C2211yescharacteristic
61C2×#938C2211yescharacteristic
62C2×#938C2211yescharacteristic
63C2×#935C2211yescharacteristic
64C2×#930C2211yescharacteristic
65C2×#930C2211yescharacteristic
66C2×#929C2211yescharacteristic
67C2×C4×#67C2211yescharacteristic
68C2×C4×#67C2211yescharacteristic
69C2×C4×#67C2211yescharacteristic
70C2×C4×#67C2211yescharacteristic
71#5663—28no—
72#5615—28no—
73C2×#895C2211yescharacteristic
74C2×#895C2211yescharacteristic
75C2×#894C2211yescharacteristic
76C2×#894C2211yescharacteristic
77C2×#892C2211yescharacteristic
78C2×#889C2211yescharacteristic
79C2×#886C2211yescharacteristic
80C2×#884C2211yescharacteristic
81C2×#884C2211yescharacteristic
82C2×#884C2211yescharacteristic
83C2×#884C2211yescharacteristic
84C2×#884C2211yescharacteristic
85C2×#884C2211yescharacteristic
86C2×#884C2211yescharacteristic
87C2×#884C2211yescharacteristic
88C2×#883C2211yescharacteristic
89C2×#883C2211yescharacteristic
90C2×#67⋊C4C2211yescharacteristic
91C2×#67⋊C4C2211yescharacteristic
92C2×#67⋊C4C2211yescharacteristic
93C2×#67⋊C4C2211yescharacteristic
94C2×#67⋊C4C2211yescharacteristic
95C2×#877C2211yescharacteristic
96C2×#874C2211yescharacteristic
97C3×#394C2211yescharacteristic
98C3×#394C2211yescharacteristic
99C3×#392C2211yescharacteristic
100C3×#392C2211yescharacteristic
101C3×#392C2211yescharacteristic
102C3×#392C2211yescharacteristic
103C3×#388C2211yescharacteristic
104C3×#387C2211yescharacteristic
105C3×#386C2211yescharacteristic
106C3×#386C2211yescharacteristic
107C3×#386C2211yescharacteristic
108#5223C2211yescharacteristic
109#5223C2211yescharacteristic
110#5223C2211yescharacteristic
111#5223C2211yescharacteristic
112#5223C2211yescharacteristic
113#5223C2211yescharacteristic
114#5223C2211yescharacteristic
115#5223C2211yescharacteristic
116#5222C2211yescharacteristic
117#5222C2211yescharacteristic
118#5220C2211yescharacteristic
119#5220C2211yescharacteristic
120#5220C2211yescharacteristic
121#5213C2211yescharacteristic
122#4991C2211yescharacteristic
123#4991C2211yescharacteristic
124#4976C2211yescharacteristic
125#4976C2211yescharacteristic
126Dic3×C4⋊C4C2211yescharacteristic
127Dic3×C4⋊C4C2211yescharacteristic
128#4961C2211yescharacteristic
129#4961C2211yescharacteristic
130#4961C2211yescharacteristic
131#4961C2211yescharacteristic
132#4960C2211yescharacteristic
133#4960C2211yescharacteristic
134#4960C2211yescharacteristic
135#4960C2211yescharacteristic
136#4960C2211yescharacteristic
137#4960C2211yescharacteristic
138#4960C2211yescharacteristic
139#4960C2211yescharacteristic
140#4959C2211yescharacteristic
141#4959C2211yescharacteristic
142#4959C2211yescharacteristic
143#4959C2211yescharacteristic
144#4958C2211yescharacteristic
145#4957C2211yescharacteristic
146#4957C2211yescharacteristic
147#4957C2211yescharacteristic
148#4957C2211yescharacteristic
149#4957C2211yescharacteristic
150#4957C2211yescharacteristic
151#4957C2211yescharacteristic
152#4957C2211yescharacteristic
153#4957C2211yescharacteristic
154#4957C2211yescharacteristic
155#4957C2211yescharacteristic
156#4957C2211yescharacteristic
157#4957C2211yescharacteristic
158#4957C2211yescharacteristic
159#4956C2211yescharacteristic
160#4956C2211yescharacteristic
161#4951C2211yescharacteristic
162Dic3×C22⋊C4C2211yescharacteristic
163#4940C2211yescharacteristic
164#4933C2211yescharacteristic
165C42×Dic3C2211yescharacteristic
166#4672C2211yescharacteristic
167#4672C2211yescharacteristic
168#4671C2211yescharacteristic
169#4671C2211yescharacteristic
170#4671C2211yescharacteristic
171#4671C2211yescharacteristic
172#4669C2211yescharacteristic
173#4666C2211yescharacteristic
174#4665C2211yescharacteristic
175#4665C2211yescharacteristic
176#4665C2211yescharacteristic
177#4665C2211yescharacteristic
178#4665C2211yescharacteristic
179#4665C2211yescharacteristic
180#4655C2211yescharacteristic
181#4654C2211yescharacteristic
182#4650C2211yescharacteristic
183#4649C2211yescharacteristic
184#4649C2211yescharacteristic
185#4649C2211yescharacteristic
186#4649C2211yescharacteristic
187#4649C2211yescharacteristic
188#4647C2211yescharacteristic
189#4647C2211yescharacteristic
190C2×#540—31no—
191C2×#540—31no—
192#2867—31no—
193#2673—31no—
194#2673—31no—
195#2673—31no—
196#2673—31no—
197#2673—31no—
198#2673—31no—
199#2673—31no—
200#2673D311yescharacteristic, complemented
201#2619—31no—
202#2619—31no—
203#2541—31no—
204#2541—31no—
205#2541—31no—
206#2541—31no—
207#2541—31no—
208#2541—31no—
209#2445—31no—
210#2445—31no—
211#2445—31no—
212#2445—31no—
213#2428—31no—
214#2428—31no—
215#2428—31no—
216#2428—31no—
217#2366—31no—
218#2366—31no—
219C4×#125—31no—
220#2293—31no—
221C22×C3×D4C2311yescharacteristic
222C22×C3×D4C2311yescharacteristic
223C22×C3×D4C2311yescharacteristic
224C22×C3×D4C2311yescharacteristic
225C22×C3×D4C2311yescharacteristic
226C22×C3×D4C2311yescharacteristic
227C22×C3×D4C2311yescharacteristic
228C22×C3×D4C2311yescharacteristic
229C22×C3×D4C2311yescharacteristic
230C22×C3×D4C2311yescharacteristic
231C23×C3×C4C2311yescharacteristic
232C23×C3×C4C2311yescharacteristic
233C22×#67C2311yescharacteristic
234C22×#67C2311yescharacteristic
235C22×#67C2311yescharacteristic
236C22×#67C2311yescharacteristic
237C22×#67C2311yescharacteristic
238C22×#67C2311yescharacteristic
239C22×#67C2311yescharacteristic
240C22×#67C2311yescharacteristic
241C22×#67C2311yescharacteristic
242C22×#67C2311yescharacteristic
243C22×#67C2311yescharacteristic
244C22×#67C2311yescharacteristic
245C22×#67C2311yescharacteristic
246C22×#67C2311yescharacteristic
247C22×#67C2311yescharacteristic
248C22×#67C2311yescharacteristic
249C22×#67C2311yescharacteristic
250C22×#67C2311yescharacteristic
251C22×#67C2311yescharacteristic
252C22×#67C2311yescharacteristic
253C22×#67C2311yescharacteristic
254C22×#67C2311yescharacteristic
255C22×#67C2311yescharacteristic
256C22×#67C2311yescharacteristic
257C22×#67C2311yescharacteristic
258C23×Dic3C2311yescharacteristic
259C23×Dic3C2311yescharacteristic
260C23×Dic3C2311yescharacteristic
261C22×D12C2311yescharacteristic
262C22×D12C2311yescharacteristic
263C22×D12C2311yescharacteristic
264C22×D12C2311yescharacteristic
265C22×D12C2311yescharacteristic
266C22×D12C2311yescharacteristic
267C22×D12C2311yescharacteristic
268C22×D12C2311yescharacteristic
269C22×D12C2311yescharacteristic
270C22×D12C2311yescharacteristic
271C22×C4×D3C2311yescharacteristic
272C22×C4×D3C2311yescharacteristic
273C22×C4×D3C2311yescharacteristic
274C22×C4×D3C2311yescharacteristic
275C22×C4×D3C2311yescharacteristic
276C3×#127—42no—
277C3×#123—24no—
278C3×#121—24no—
279C3×#121—42no—
280C2×C3×C4⋊C4C2311yescharacteristic
281C2×C3×C4⋊C4C2311yescharacteristic
282C2×C3×C4⋊C4C2311yescharacteristic
283C2×C3×C22⋊C4C2311yescharacteristic
284C2×C3×C22⋊C4C2311yescharacteristic
285C2×C3×C22⋊C4C2311yescharacteristic
286C2×C3×C22⋊C4C2311yescharacteristic
287C2×C3×C22⋊C4C2311yescharacteristic
288C2×C3×C22⋊C4C2311yescharacteristic
289C2×C3×C22⋊C4C2311yescharacteristic
290C2×C3×C22⋊C4C2311yescharacteristic
291C2×C3×C22⋊C4C2311yescharacteristic
292C2×C3×C22⋊C4C2311yescharacteristic
293C2×C3×C22⋊C4C2311yescharacteristic
294C2×C3×C22⋊C4C2311yescharacteristic
295C2×C3×C22⋊C4C2311yescharacteristic
296C2×C3×C42C2311yescharacteristic
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#940—24no—
310#940—24no—
311#940—24no—
312#940—24no—
313#940—42no—
314#940—42no—
315#940—42no—
316#940—42no—
317#940—42no—
318#940—42no—
319#940—42no—
320#940—42no—
321#940—42no—
322#940—42no—
323#940—42no—
324#940—42no—
325#939—24no—
326#939—24no—
327#939—24no—
328#939—24no—
329#939—42no—
330#939—42no—
331#939—42no—
332#939—42no—
333#938—24no—
334#938—42no—
335#935—24no—
336#930—24no—
337#930—42no—
338#929—24no—
339C4×#67—24no—
340C4×#67—24no—
341C4×#67—42no—
342C4×#67—42no—
343C2×(C2×D3)⋊C4C2311yescharacteristic
344C2×(C2×D3)⋊C4C2311yescharacteristic
345C2×(C2×D3)⋊C4C2311yescharacteristic
346C2×(C2×D3)⋊C4C2311yescharacteristic
347C2×(C2×D3)⋊C4C2311yescharacteristic
348C2×(C2×D3)⋊C4C2311yescharacteristic
349C2×(C2×D3)⋊C4C2311yescharacteristic
350C2×(C2×D3)⋊C4C2311yescharacteristic
351C2×(C2×D3)⋊C4C2311yescharacteristic
352C2×(C2×D3)⋊C4C2311yescharacteristic
353C2×(C2×D3)⋊C4C2311yescharacteristic
354C2×(C2×D3)⋊C4C2311yescharacteristic
355C2×(C2×D3)⋊C4C2311yescharacteristic
356C2×(C2×D3)⋊C4C2311yescharacteristic
357C2×(C2×D3)⋊C4C2311yescharacteristic
358C2×(C2×D3)⋊C4C2311yescharacteristic
359C2×(C2×D3)⋊C4C2311yescharacteristic
360C2×(C2×D3)⋊C4C2311yescharacteristic
361C2×(C2×D3)⋊C4C2311yescharacteristic
362C2×(C2×D3)⋊C4C2311yescharacteristic
363C2×(C2×D3)⋊C4C2311yescharacteristic
364C2×(C2×D3)⋊C4C2311yescharacteristic
365C2×(C2×D3)⋊C4C2311yescharacteristic
366C2×(C2×D3)⋊C4C2311yescharacteristic
367C2×(C2×D3)⋊C4C2311yescharacteristic
368C2×C4⋊Dic3C2311yescharacteristic
369C2×C4⋊Dic3C2311yescharacteristic
370C2×C4⋊Dic3C2311yescharacteristic
371C2×Dic3⋊C4C2311yescharacteristic
372C2×Dic3⋊C4C2311yescharacteristic
373C2×Dic3⋊C4C2311yescharacteristic
374C2×Dic3⋊C4C2311yescharacteristic
375C2×Dic3⋊C4C2311yescharacteristic
376C2×Dic3⋊C4C2311yescharacteristic
377C2×Dic3⋊C4C2311yescharacteristic
378C2×Dic3⋊C4C2311yescharacteristic
379C2×Dic3⋊C4C2311yescharacteristic
380C2×Dic3⋊C4C2311yescharacteristic
381C2×Dic3⋊C4C2311yescharacteristic
382C2×Dic3⋊C4C2311yescharacteristic
383C2×Dic3⋊C4C2311yescharacteristic
384C2×C4×Dic3C2311yescharacteristic
385C2×C4×Dic3C2311yescharacteristic
386C2×C4×Dic3C2311yescharacteristic
387C2×C4×Dic3C2311yescharacteristic
388C2×C4×Dic3C2311yescharacteristic
389C2×C4×Dic3C2311yescharacteristic
390C2×C4×Dic3C2311yescharacteristic
391C2×C4×Dic3C2311yescharacteristic
392C2×C4×Dic3C2311yescharacteristic
393C2×C4×Dic3C2311yescharacteristic
394C2×C4×Dic3C2311yescharacteristic
395C2×C4×Dic3C2311yescharacteristic
396#895—24no—
397#895—42no—
398#894—24no—
399#894—24no—
400#892—24no—
401#889D418yescomplemented
402#886—24no—
403#884—24no—
404#884—24no—
405#884—24no—
406#884—24no—
407#884—42no—
408#884—42no—
409#884—42no—
410#884—42no—
411#883—24no—
412#883—24no—
413#67⋊C4—24no—
414#67⋊C4—24no—
415#67⋊C4—24no—
416#67⋊C4—42no—
417#67⋊C4—42no—
418#877—24no—
419#874—42no—
420C3×#95C2311yescharacteristic
421C3×#95C2311yescharacteristic
422C3×#95C2311yescharacteristic
423C3×#95C2311yescharacteristic
424C3×#95C2311yescharacteristic
425C3×#95C2311yescharacteristic
426C3⋊#95C2311yescharacteristic
427C3⋊#95C2311yescharacteristic
428C3⋊#95C2311yescharacteristic
429C3⋊#95C2311yescharacteristic
430C3⋊#95C2311yescharacteristic
431C3⋊#95C2311yescharacteristic
432C3⋊#95C2311yescharacteristic
433C3⋊#95C2311yescharacteristic
434C3⋊#95C2311yescharacteristic
435C3⋊#95C2311yescharacteristic
436C3⋊#95C2311yescharacteristic
437C3⋊#95C2311yescharacteristic
438#540—68no—
439#540—68no—
440C2×#127—31no—
441C2×#127—31no—
442C2×#127—31no—
443C2×#127—31no—
444C2×#127—31no—
445C2×#127—31no—
446C2×#127—31no—
447C2×#127—31no—
448C2×#127—31no—
449C2×#127—31no—
450C2×#127—31no—
451C2×#127—31no—
452C2×#127—31no—
453C2×#127—31no—
454C2×#127—31no—
455C2×#127—31no—
456C2×#127—31no—
457C2×#127C2×D311yescharacteristic
458C2×#125—31no—
459C2×#123—31no—
460C2×#123—31no—
461C2×#123—31no—
462C2×#123—31no—
463C2×#123—31no—
464C2×#123—31no—
465C2×#123—31no—
466C2×#123C2×D311yescharacteristic
467C2×#121—31no—
468C2×#121—31no—
469C2×#121—31no—
470C2×#121—31no—
471C2×#121—31no—
472C2×#121—31no—
473C2×#121—31no—
474C2×#121—31no—
475C2×#121—31no—
476C2×#121—31no—
477C2×#121—31no—
478C2×#121—31no—
479C2×#121—31no—
480C2×#121—31no—
481C2×#121—31no—
482C2×#121—31no—
483C2×#121—31no—
484C2×#121—31no—
485C2×#121—31no—
486C2×#121—31no—
487C2×#121—31no—
488C2×#121—31no—
489C2×#121C2×D311yescharacteristic
490C2×#121C2×D311yescharacteristic
491C2×C4×D4—31no—
492C2×C4×D4—31no—
493C2×C4×D4—31no—
494C2×C4×D4—31no—
495C2×C4×D4—31no—
496C2×C4×D4—31no—
497C2×C4×D4—31no—
498C2×C4×D4—31no—
499C2×C4×D4—31no—
500C2×#117—31no—
501C2×#117—31no—
502#394—31no—
503#394—31no—
504#394—31no—
505#394—31no—
506#394—31no—
507#394—31no—
508#394—31no—
509#394—31no—
510#394—31no—
511#394—31no—
512#394—31no—
513#394—31no—
514#394—31no—
515#394—31no—
516#394C2×D311yescharacteristic
517#394C2×D311yescharacteristic
518#392—31no—
519#392—31no—
520#392—31no—
521#392—31no—
522#392—31no—
523#392—31no—
524#392—31no—
525#392—31no—
526#392—31no—
527#392—31no—
528#392—31no—
529#392—31no—
530#392—31no—
531#392—31no—
532#392—31no—
533#392—31no—
534#392—31no—
535#392—31no—
536#392—31no—
537#392—31no—
538#392C2×D311yescharacteristic
539#392C2×D311yescharacteristic
540#392C2×D311yescharacteristic
541#392C2×D311yescharacteristic
542#390—31no—
543#390—31no—
544#390—31no—
545#390—31no—
546#390—31no—
547#390—31no—
548#390—31no—
549#390—31no—
550#390—31no—
551#390—31no—
552#390—31no—
553#390—31no—
554#390—31no—
555#390—31no—
556#389—31no—
557#389—31no—
558#389—31no—
559#389—31no—
560#388—31no—
561#388—31no—
562#388—31no—
563#388C2×D311yescharacteristic
564#387—31no—
565#387—31no—
566#387—31no—
567#387C2×D311yescharacteristic
568#386—31no—
569#386—31no—
570#386—31no—
571#386—31no—
572#386—31no—
573#386—31no—
574#386—31no—
575#386—31no—
576#386—31no—
577#386—31no—
578#386—31no—
579#386—31no—
580#386—31no—
581#386C2×D311yescharacteristic
582#386C2×D311yescharacteristic
583#386C2×D311yescharacteristic
584#382—31no—
585C4×C4⋊C4—31no—
586C4×C4⋊C4—31no—
587C4×C4⋊C4—31no—
588C4×C4⋊C4—31no—
589C4×C4⋊C4—31no—
590C4×C4⋊C4—31no—
591C4×C4⋊C4—31no—
592C4×C22⋊C4—31no—
593C4×C22⋊C4—31no—
594C43—31no—
595C24×C3C2411yescharacteristic
596C24×C3C2411yescharacteristic
597C24×C3C2411yescharacteristic
598C24×C3C2411yescharacteristic
599C24×C3C2411yescharacteristic
600C23×D3C2411yescharacteristic
601C23×D3C2411yescharacteristic
602C23×D3C2411yescharacteristic
603C23×D3C2411yescharacteristic
604C23×D3C2411yescharacteristic
605C2×C3×D4—22no—
606C2×C3×D4—22no—
607C2×C3×D4—22no—
608C2×C3×D4—22no—
609C2×C3×D4—22no—
610C2×C3×D4—22no—
611C2×C3×D4—22no—
612C2×C3×D4—22no—
613C2×C3×D4—41no—
614C2×C3×D4—41no—
615C2×C3×D4—41no—
616C2×C3×D4—41no—
617C2×C3×D4—41no—
618C2×C3×D4—41no—
619C2×C3×D4—41no—
620C2×C3×D4—41no—
621C2×C3×D4—41no—
622C2×C3×D4—41no—
623C2×C3×D4—41no—
624C2×C3×D4—41no—
625C2×C3×D4—41no—
626C2×C3×D4—41no—
627C2×C3×D4—41no—
628C2×C3×D4—41no—
629C2×C3×D4—41no—
630C2×C3×D4—41no—
631C2×C3×D4—41no—
632C2×C3×D4—41no—
633C2×C3×D4—41no—
634C2×C3×D4—41no—
635C22×C3×C4—22no—
636C22×C3×C4—22no—
637C22×C3×C4—41no—
638C22×C3×C4—41no—
639C22×C3×C4—41no—
640C22×C3×C4—41no—
641C22×C3×C4C2411yescharacteristic
642C22×C3×C4C2411yescharacteristic
643C22×C3×C4C2411yescharacteristic
644C22×C3×C4C2411yescharacteristic
645C22×C3×C4C2411yescharacteristic
646C22×C3×C4C2411yescharacteristic
647C22×C3×C4C2411yescharacteristic
648C22×C3×C4C2411yescharacteristic
649C22×C3×C4C2411yescharacteristic
650C22×C3×C4C2411yescharacteristic
651C2×#67—22no—
652C2×#67—22no—
653C2×#67—22no—
654C2×#67—22no—
655C2×#67—22no—
656C2×#67—22no—
657C2×#67—22no—
658C2×#67—22no—
659C2×#67—22no—
660C2×#67—22no—
661C2×#67—22no—
662C2×#67—22no—
663C2×#67—22no—
664C2×#67—22no—
665C2×#67—22no—
666C2×#67—22no—
667C2×#67—22no—
668C2×#67—22no—
669C2×#67—22no—
670C2×#67—22no—
671C2×#67—22no—
672C2×#67—22no—
673C2×#67—22no—
674C2×#67—22no—
675C2×#67—22no—
676C2×#67—22no—
677C2×#67—22no—
678C2×#67—22no—
679C2×#67—22no—
680C2×#67—22no—
681C2×#67—22no—
682C2×#67—22no—
683C2×#67—22no—
684C2×#67—22no—
685C2×#67—22no—
686C2×#67—22no—
687C2×#67—22no—
688C2×#67—22no—
689C2×#67—22no—
690C2×#67—41no—
691C2×#67—41no—
692C2×#67—41no—
693C2×#67—41no—
694C2×#67—41no—
695C2×#67—41no—
696C2×#67—41no—
697C2×#67—41no—
698C2×#67—41no—
699C2×#67—41no—
700C2×#67—41no—
701C2×#67—41no—
702C2×#67—41no—
703C2×#67—41no—
704C2×#67—41no—
705C2×#67—41no—
706C2×#67—41no—
707C2×#67—41no—
708C2×#67—41no—
709C2×#67—41no—
710C2×#67—41no—
711C2×#67—41no—
712C2×#67—41no—
713C2×#67—41no—
714C2×#67—41no—
715C2×#67—41no—
716C2×#67—41no—
717C2×#67—41no—
718C2×#67—41no—
719C2×#67—41no—
720C2×#67—41no—
721C2×#67—41no—
722C2×#67—41no—
723C2×#67—41no—
724C2×#67—41no—
725C2×#67—41no—
726C22×Dic3—22no—
727C22×Dic3—22no—
728C22×Dic3—22no—
729C22×Dic3—22no—
730C22×Dic3—22no—
731C22×Dic3—41no—
732C22×Dic3—41no—
733C22×Dic3—41no—
734C22×Dic3—41no—
735C22×Dic3C2411yescharacteristic
736C22×Dic3C2411yescharacteristic
737C22×Dic3C2411yescharacteristic
738C22×Dic3C2411yescharacteristic
739C22×Dic3C2411yescharacteristic
740C22×Dic3C2411yescharacteristic
741C22×Dic3C2411yescharacteristic
742C22×Dic3C2411yescharacteristic
743C22×Dic3C2411yescharacteristic
744C22×Dic3C2411yescharacteristic
745C22×Dic3C2411yescharacteristic
746C2×D12—22no—
747C2×D12—22no—
748C2×D12—22no—
749C2×D12—22no—
750C2×D12—22no—
751C2×D12—22no—
752C2×D12—22no—
753C2×D12—22no—
754C2×D12—41no—
755C2×D12—41no—
756C2×D12—41no—
757C2×D12—41no—
758C2×D12—41no—
759C2×D12—41no—
760C2×D12—41no—
761C2×D12—41no—
762C2×D12—41no—
763C2×D12—41no—
764C2×D12—41no—
765C2×D12—41no—
766C2×D12—41no—
767C2×D12—41no—
768C2×D12—41no—
769C2×D12—41no—
770C2×D12—41no—
771C2×D12—41no—
772C2×D12—41no—
773C2×D12—41no—
774C2×D12—41no—
775C2×D12—41no—
776C2×C4×D3—22no—
777C2×C4×D3—22no—
778C2×C4×D3—22no—
779C2×C4×D3—22no—
780C2×C4×D3—22no—
781C2×C4×D3—22no—
782C2×C4×D3—22no—
783C2×C4×D3—41no—
784C2×C4×D3—41no—
785C2×C4×D3—41no—
786C2×C4×D3—41no—
787C2×C4×D3—41no—
788C2×C4×D3—41no—
789C2×C4×D3—41no—
790C2×C4×D3—41no—
791C3×C4⋊C4—22no—
792C3×C4⋊C4—22no—
793C3×C4⋊C4C2×D414yes—
794C3×C22⋊C4—22no—
795C3×C22⋊C4—22no—
796C3×C22⋊C4—22no—
797C3×C22⋊C4—22no—
798C3×C22⋊C4—22no—
799C3×C22⋊C4—22no—
800C3×C22⋊C4—22no—
801C3×C22⋊C4—41no—
802C3×C22⋊C4—41no—
803C3×C22⋊C4—41no—
804C3×C22⋊C4—41no—
805C3×C22⋊C4—41no—
806C3×C22⋊C4—41no—
807C3×C42—22no—
808#217—22no—
809#217—22no—
810#217—22no—
811#217—22no—
812#217—22no—
813#217—22no—
814#217—41no—
815#217—41no—
816#217—41no—
817#217—41no—
818#217—41no—
819#217—41no—
820(C2×D3)⋊C4—22no—
821(C2×D3)⋊C4—22no—
822(C2×D3)⋊C4—22no—
823(C2×D3)⋊C4—22no—
824(C2×D3)⋊C4—22no—
825(C2×D3)⋊C4—22no—
826(C2×D3)⋊C4—22no—
827(C2×D3)⋊C4—22no—
828(C2×D3)⋊C4—22no—
829(C2×D3)⋊C4—22no—
830(C2×D3)⋊C4—22no—
831(C2×D3)⋊C4—22no—
832(C2×D3)⋊C4—22no—
833(C2×D3)⋊C4—41no—
834(C2×D3)⋊C4—41no—
835(C2×D3)⋊C4—41no—
836(C2×D3)⋊C4—41no—
837(C2×D3)⋊C4—41no—
838(C2×D3)⋊C4—41no—
839(C2×D3)⋊C4—41no—
840(C2×D3)⋊C4—41no—
841(C2×D3)⋊C4—41no—
842(C2×D3)⋊C4—41no—
843(C2×D3)⋊C4—41no—
844(C2×D3)⋊C4—41no—
845C4⋊Dic3—22no—
846C4⋊Dic3—22no—
847C4⋊Dic3C2×D414yes—
848Dic3⋊C4—22no—
849Dic3⋊C4—22no—
850Dic3⋊C4—22no—
851Dic3⋊C4—22no—
852Dic3⋊C4—22no—
853Dic3⋊C4—22no—
854Dic3⋊C4—22no—
855Dic3⋊C4—22no—
856Dic3⋊C4—22no—
857Dic3⋊C4C2×D414yes—
858Dic3⋊C4C2×D414yes—
859Dic3⋊C4C2×D414yes—
860Dic3⋊C4C2×D414yes—
861C4×Dic3—22no—
862C4×Dic3—22no—
863C4×Dic3—22no—
864C4×Dic3—22no—
865C4×Dic3—22no—
866C4×Dic3—22no—
867C4×Dic3—22no—
868C4×Dic3—22no—
869C4×Dic3—22no—
870C4×Dic3—22no—
871C4×Dic3C2×D414yes—
872C4×Dic3#4114yes—
873C22×D4—31no—
874C22×D4—31no—
875C22×D4—31no—
876C22×D4—31no—
877C22×D4—31no—
878C22×D4—31no—
879C22×D4—31no—
880C22×D4—31no—
881C22×D4—31no—
882C22×D4—31no—
883C22×D4—31no—
884C22×D4—31no—
885C22×D4—31no—
886C22×D4—31no—
887C22×D4—31no—
888C22×D4—31no—
889C22×D4—31no—
890C22×D4—31no—
891C22×D4—31no—
892C22×D4—31no—
893C22×D4—31no—
894C22×D4—31no—
895C22×D4—31no—
896C22×D4—31no—
897C22×D4—31no—
898C22×D4—31no—
899C22×D4—31no—
900C22×D4—31no—
901C22×D4—31no—
902C22×D4—31no—
903C22×D4—31no—
904C22×D4—31no—
905C22×D4—31no—
906C22×D4—31no—
907C22×D4—31no—
908C22×D4C22×D311yescharacteristic
909C22×D4C22×D311yescharacteristic
910C22×D4C22×D311yescharacteristic
911C22×D4C22×D311yescharacteristic
912C22×D4C22×D311yescharacteristic
913C22×D4C22×D311yescharacteristic
914C22×D4C22×D311yescharacteristic
915C22×D4C22×D311yescharacteristic
916C22×D4C22×D311yescharacteristic
917C22×D4C22×D311yescharacteristic
918C23×C4—31no—
919C23×C4—31no—
920C23×C4—31no—
921C23×C4—31no—
922C23×C4—31no—
923C23×C4—31no—
924C23×C4—31no—
925C23×C4—31no—
926C23×C4C22×D311yescharacteristic
927C23×C4C22×D311yescharacteristic
928#127—42no—
929#127—64no—
930#127—64no—
931#127—64no—
932#127—64no—
933#127—122no—
934#127—122no—
935#127—122no—
936#127—122no—
937#127—122no—
938#127—122no—
939#127—122no—
940#127—122no—
941#127—122no—
942#127—122no—
943#127—122no—
944#127—122no—
945#127—122no—
946#125—38no—
947#123—24no—
948#123—64no—
949#123—64no—
950#123—64no—
951#123—64no—
952#123—64no—
953#123—64no—
954#123—64no—
955#121—24no—
956#121—42no—
957#121—64no—
958#121—64no—
959#121—64no—
960#121—64no—
961#121—64no—
962#121—64no—
963#121—64no—
964#121—64no—
965#121—64no—
966#121—64no—
967#121—64no—
968#121—122no—
969#121—122no—
970#121—122no—
971#121—122no—
972#121—122no—
973#121—122no—
974#121—122no—
975#121—122no—
976#121—122no—
977#121—122no—
978#121—122no—
979C4×D4—64no—
980C4×D4—64no—
981C4×D4—64no—
982C4×D4—64no—
983C4×D4—64no—
984C4×D4—122no—
985C4×D4—122no—
986C4×D4—122no—
987C4×D4—122no—
988#117—64no—
989#117—64no—
990C2×C4⋊C4—31no—
991C2×C4⋊C4—31no—
992C2×C4⋊C4—31no—
993C2×C4⋊C4—31no—
994C2×C4⋊C4—31no—
995C2×C4⋊C4—31no—
996C2×C4⋊C4—31no—
997C2×C4⋊C4—31no—
998C2×C4⋊C4—31no—
999C2×C4⋊C4—31no—
1000C2×C4⋊C4—31no—
1001C2×C4⋊C4—31no—
1002C2×C4⋊C4—31no—
1003C2×C4⋊C4—31no—
1004C2×C4⋊C4—31no—
1005C2×C4⋊C4—31no—
1006C2×C4⋊C4C22×D311yescharacteristic
1007C2×C4⋊C4C22×D311yescharacteristic
1008C2×C4⋊C4C22×D311yescharacteristic
1009C2×C22⋊C4—31no—
1010C2×C22⋊C4—31no—
1011C2×C22⋊C4—31no—
1012C2×C22⋊C4—31no—
1013C2×C22⋊C4—31no—
1014C2×C22⋊C4—31no—
1015C2×C22⋊C4—31no—
1016C2×C22⋊C4—31no—
1017C2×C22⋊C4—31no—
1018C2×C22⋊C4—31no—
1019C2×C22⋊C4—31no—
1020C2×C22⋊C4—31no—
1021C2×C22⋊C4—31no—
1022C2×C22⋊C4—31no—
1023C2×C22⋊C4—31no—
1024C2×C22⋊C4—31no—
1025C2×C22⋊C4—31no—
1026C2×C22⋊C4—31no—
1027C2×C22⋊C4—31no—
1028C2×C22⋊C4—31no—
1029C2×C22⋊C4—31no—
1030C2×C22⋊C4—31no—
1031C2×C22⋊C4—31no—
1032C2×C22⋊C4—31no—
1033C2×C22⋊C4—31no—
1034C2×C22⋊C4—31no—
1035C2×C22⋊C4—31no—
1036C2×C22⋊C4—31no—
1037C2×C22⋊C4—31no—
1038C2×C22⋊C4—31no—
1039C2×C22⋊C4—31no—
1040C2×C22⋊C4—31no—
1041C2×C22⋊C4—31no—
1042C2×C22⋊C4—31no—
1043C2×C22⋊C4—31no—
1044C2×C22⋊C4—31no—
1045C2×C22⋊C4—31no—
1046C2×C22⋊C4C22×D311yescharacteristic
1047C2×C22⋊C4C22×D311yescharacteristic
1048C2×C22⋊C4C22×D311yescharacteristic
1049C2×C22⋊C4C22×D311yescharacteristic
1050C2×C22⋊C4C22×D311yescharacteristic
1051C2×C22⋊C4C22×D311yescharacteristic
1052C2×C22⋊C4C22×D311yescharacteristic
1053C2×C22⋊C4C22×D311yescharacteristic
1054C2×C22⋊C4C22×D311yescharacteristic
1055C2×C22⋊C4C22×D311yescharacteristic
1056C2×C22⋊C4C22×D311yescharacteristic
1057C2×C22⋊C4C22×D311yescharacteristic
1058C2×C22⋊C4C22×D311yescharacteristic
1059C2×C42—31no—
1060C2×C42—31no—
1061C2×C42—31no—
1062C2×C42—31no—
1063C2×C42—31no—
1064C2×C42—31no—
1065C2×C42—31no—
1066C2×C42—31no—
1067C2×C42—31no—
1068C2×C42—31no—
1069C2×C42—31no—
1070C2×C42—31no—
1071C2×C42C22×D311yescharacteristic
1072#95—31no—
1073#95—31no—
1074#95—31no—
1075#95—31no—
1076#95—31no—
1077#95—31no—
1078#95—31no—
1079#95—31no—
1080#95—31no—
1081#95—31no—
1082#95—31no—
1083#95—31no—
1084#95C22×D311yescharacteristic
1085#95C22×D311yescharacteristic
1086#95C22×D311yescharacteristic
1087#95C22×D311yescharacteristic
1088#95C22×D311yescharacteristic
1089#95C22×D311yescharacteristic
1090C23×C3—21no—
1091C23×C3—21no—
1092C23×C3—21no—
1093C23×C3—21no—
1094C23×C3—21no—
1095C23×C3—21no—
1096C23×C3—21no—
1097C23×C3—21no—
1098C23×C3—21no—
1099C23×C3—21no—
1100C23×C3—21no—
1101C23×C3—21no—
1102C23×C3—21no—
1103C23×C3—21no—
1104C23×C3—21no—
1105C23×C3—21no—
1106C23×C3—21no—
1107C23×C3—21no—
1108C23×C3—21no—
1109C23×C3—21no—
1110C23×C3—21no—
1111C23×C3—21no—
1112C23×C3—21no—
1113C23×C3—21no—
1114C23×C3—21no—
1115C23×C3—21no—
1116C23×C3—21no—
1117C23×C3—21no—
1118C23×C3—21no—
1119C23×C3—21no—
1120C23×C3—21no—
1121C23×C3—21no—
1122C23×C3—21no—
1123C23×C3—21no—
1124C23×C3—21no—
1125C23×C3C2511yescharacteristic
1126C22×D3—21no—
1127C22×D3—21no—
1128C22×D3—21no—
1129C22×D3—21no—
1130C22×D3—21no—
1131C22×D3—21no—
1132C22×D3—21no—
1133C22×D3—21no—
1134C22×D3—21no—
1135C22×D3—21no—
1136C22×D3—21no—
1137C22×D3—21no—
1138C22×D3—21no—
1139C22×D3—21no—
1140C22×D3—21no—
1141C22×D3—21no—
1142C22×D3—21no—
1143C22×D3—21no—
1144C22×D3—21no—
1145C22×D3—21no—
1146C22×D3—21no—
1147C22×D3—21no—
1148C22×D3—21no—
1149C22×D3—21no—
1150C22×D3—21no—
1151C22×D3—21no—
1152C22×D3—21no—
1153C22×D3—21no—
1154C22×D3—21no—
1155C22×D3—21no—
1156C22×D3—21no—
1157C22×D3—21no—
1158C22×D3—21no—
1159C22×D3—21no—
1160C22×D3—21no—
1161C3×D4—82no—
1162C3×D4—82no—
1163C3×D4—82no—
1164C3×D4—82no—
1165C3×D4—82no—
1166C3×D4—82no—
1167C3×D4—82no—
1168C3×D4—82no—
1169C3×D4—82no—
1170C3×D4—82no—
1171C2×C3×C4—21no—
1172C2×C3×C4—21no—
1173C2×C3×C4—21no—
1174C2×C3×C4—21no—
1175C2×C3×C4—21no—
1176C2×C3×C4—21no—
1177C2×C3×C4—21no—
1178C2×C3×C4—21no—
1179C2×C3×C4—21no—
1180C2×C3×C4—21no—
1181C2×C3×C4—21no—
1182C2×C3×C4—21no—
1183C2×C3×C4—21no—
1184C2×C3×C4—21no—
1185C2×C3×C4—21no—
1186C2×C3×C4—21no—
1187C2×C3×C4—21no—
1188C2×C3×C4—21no—
1189C2×C3×C4—21no—
1190C2×C3×C4—21no—
1191C2×C3×C4—21no—
1192C2×C3×C4—21no—
1193C2×C3×C4—21no—
1194C2×C3×C4—21no—
1195C2×C3×C4—21no—
1196C2×C3×C4—82no—
1197C2×C3×C4—82no—
1198C2×C3×C4C22×D412yes—
1199C2×C3×C4C22×D412yes—
1200C2×C3×C4C22×D412yes—
1201C2×C3×C4C2×#4112yes—
1202C2×C3×C4H(5,𝔽2)12yes—
1203#67—44no—
1204#67—44no—
1205#67—44no—
1206#67—44no—
1207#67—44no—
1208#67—44no—
1209#67—44no—
1210#67—44no—
1211#67—44no—
1212#67—82no—
1213#67—82no—
1214#67—82no—
1215#67—82no—
1216#67—82no—
1217#67—82no—
1218#67—82no—
1219#67—82no—
1220#67—82no—
1221#67—82no—
1222#67—82no—
1223#67—82no—
1224#67—82no—
1225#67—82no—
1226#67—82no—
1227#67—82no—
1228C2×Dic3—21no—
1229C2×Dic3—21no—
1230C2×Dic3—21no—
1231C2×Dic3—21no—
1232C2×Dic3—21no—
1233C2×Dic3—21no—
1234C2×Dic3—21no—
1235C2×Dic3—21no—
1236C2×Dic3—21no—
1237C2×Dic3—21no—
1238C2×Dic3—21no—
1239C2×Dic3—21no—
1240C2×Dic3—21no—
1241C2×Dic3—21no—
1242C2×Dic3—21no—
1243C2×Dic3—21no—
1244C2×Dic3—21no—
1245C2×Dic3—21no—
1246C2×Dic3—21no—
1247C2×Dic3—21no—
1248C2×Dic3—21no—
1249C2×Dic3—21no—
1250C2×Dic3—21no—
1251C2×Dic3—44no—
1252C2×Dic3—82no—
1253C2×Dic3—82no—
1254C2×Dic3C22×D412yes—
1255C2×Dic3C22×D412yes—
1256C2×Dic3C22×D412yes—
1257C2×Dic3C22×D412yes—
1258C2×Dic3C2×#4112yes—
1259C2×Dic3C2×#4112yes—
1260C2×Dic3H(5,𝔽2)12yes—
1261C2×Dic3H(5,𝔽2)12yes—
1262C2×Dic3H(5,𝔽2)12yes—
1263C2×Dic3H(5,𝔽2)12yes—
1264D12—82no—
1265D12—82no—
1266D12—82no—
1267D12—82no—
1268D12—82no—
1269D12—82no—
1270D12—82no—
1271D12—82no—
1272D12—82no—
1273D12—82no—
1274C4×D3—44no—
1275C4×D3—82no—
1276C4×D3—82no—
1277C4×D3—82no—
1278C4×D3—82no—
1279C24—31no—
1280C24—31no—
1281C24—31no—
1282C24—31no—
1283C24—31no—
1284C24C23×D311yescharacteristic
1285C24C23×D311yescharacteristic
1286C24C23×D311yescharacteristic
1287C24C23×D311yescharacteristic
1288C24C23×D311yescharacteristic
1289C2×D4—22no—
1290C2×D4—22no—
1291C2×D4—22no—
1292C2×D4—22no—
1293C2×D4—22no—
1294C2×D4—22no—
1295C2×D4—22no—
1296C2×D4—22no—
1297C2×D4—41no—
1298C2×D4—41no—
1299C2×D4—41no—
1300C2×D4—41no—
1301C2×D4—41no—
1302C2×D4—41no—
1303C2×D4—41no—
1304C2×D4—41no—
1305C2×D4—41no—
1306C2×D4—41no—
1307C2×D4—41no—
1308C2×D4—41no—
1309C2×D4—41no—
1310C2×D4—41no—
1311C2×D4—41no—
1312C2×D4—41no—
1313C2×D4—41no—
1314C2×D4—41no—
1315C2×D4—41no—
1316C2×D4—41no—
1317C2×D4—41no—
1318C2×D4—41no—
1319C2×D4—62no—
1320C2×D4—62no—
1321C2×D4—62no—
1322C2×D4—62no—
1323C2×D4—62no—
1324C2×D4—62no—
1325C2×D4—62no—
1326C2×D4—62no—
1327C2×D4—62no—
1328C2×D4—62no—
1329C2×D4—62no—
1330C2×D4—62no—
1331C2×D4—62no—
1332C2×D4—62no—
1333C2×D4—62no—
1334C2×D4—62no—
1335C2×D4—62no—
1336C2×D4—62no—
1337C2×D4—62no—
1338C2×D4—62no—
1339C2×D4—62no—
1340C2×D4—62no—
1341C2×D4—62no—
1342C2×D4—62no—
1343C2×D4—62no—
1344C2×D4—62no—
1345C2×D4—62no—
1346C2×D4—62no—
1347C2×D4—62no—
1348C2×D4—62no—
1349C2×D4—62no—
1350C2×D4—62no—
1351C2×D4—62no—
1352C2×D4—62no—
1353C2×D4—62no—
1354C2×D4—62no—
1355C2×D4—62no—
1356C2×D4—62no—
1357C2×D4—62no—
1358C2×D4—62no—
1359C2×D4—62no—
1360C2×D4—62no—
1361C2×D4—62no—
1362C2×D4—62no—
1363C2×D4—62no—
1364C2×D4—62no—
1365C2×D4—62no—
1366C2×D4—121no—
1367C2×D4—121no—
1368C2×D4—121no—
1369C2×D4—121no—
1370C2×D4—121no—
1371C2×D4—121no—
1372C2×D4—121no—
1373C2×D4—121no—
1374C2×D4—121no—
1375C2×D4—121no—
1376C2×D4—121no—
1377C2×D4—121no—
1378C2×D4—121no—
1379C2×D4—121no—
1380C2×D4—121no—
1381C2×D4—121no—
1382C2×D4—121no—
1383C2×D4—121no—
1384C2×D4—121no—
1385C2×D4—121no—
1386C2×D4—121no—
1387C2×D4—121no—
1388C2×D4—121no—
1389C2×D4—121no—
1390C2×D4—121no—
1391C2×D4—121no—
1392C2×D4—121no—
1393C2×D4—121no—
1394C2×D4—121no—
1395C2×D4—121no—
1396C2×D4—121no—
1397C2×D4—121no—
1398C2×D4—121no—
1399C2×D4—121no—
1400C2×D4—121no—
1401C2×D4—121no—
1402C2×D4—121no—
1403C2×D4—121no—
1404C2×D4—121no—
1405C2×D4—121no—
1406C2×D4—121no—
1407C2×D4—121no—
1408C2×D4—121no—
1409C2×D4—121no—
1410C2×D4—121no—
1411C2×D4—121no—
1412C2×D4—121no—
1413C2×D4—121no—
1414C2×D4—121no—
1415C2×D4—121no—
1416C2×D4—121no—
1417C2×D4—121no—
1418C2×D4—121no—
1419C2×D4—121no—
1420C2×D4—121no—
1421C2×D4—121no—
1422C2×D4—121no—
1423C2×D4—121no—
1424C22×C4—22no—
1425C22×C4—22no—
1426C22×C4—31no—
1427C22×C4—31no—
1428C22×C4—31no—
1429C22×C4—31no—
1430C22×C4—31no—
1431C22×C4—31no—
1432C22×C4—31no—
1433C22×C4—31no—
1434C22×C4—31no—
1435C22×C4—31no—
1436C22×C4—31no—
1437C22×C4—41no—
1438C22×C4—41no—
1439C22×C4—41no—
1440C22×C4—41no—
1441C22×C4—62no—
1442C22×C4—62no—
1443C22×C4—62no—
1444C22×C4—62no—
1445C22×C4—62no—
1446C22×C4—62no—
1447C22×C4—62no—
1448C22×C4—62no—
1449C22×C4—62no—
1450C22×C4—62no—
1451C22×C4—62no—
1452C22×C4—62no—
1453C22×C4—121no—
1454C22×C4—121no—
1455C22×C4—121no—
1456C22×C4—121no—
1457C22×C4—121no—
1458C22×C4—121no—
1459C22×C4—121no—
1460C22×C4—121no—
1461C22×C4—121no—
1462C22×C4—121no—
1463C22×C4—121no—
1464C22×C4—121no—
1465C22×C4C23×D311yescharacteristic
1466C22×C4C23×D311yescharacteristic
1467C22×C4C23×D311yescharacteristic
1468C22×C4C23×D311yescharacteristic
1469C22×C4C23×D311yescharacteristic
1470C22×C4C23×D311yescharacteristic
1471C22×C4C23×D311yescharacteristic
1472C22×C4C23×D311yescharacteristic
1473C22×C4C23×D311yescharacteristic
1474C22×C4C23×D311yescharacteristic
1475C4⋊C4—22no—
1476C4⋊C4—22no—
1477C4⋊C4—34no—
1478C4⋊C4—34no—
1479C4⋊C4—34no—
1480C4⋊C4—34no—
1481C4⋊C4—34no—
1482C4⋊C4—62no—
1483C4⋊C4—62no—
1484C4⋊C4—62no—
1485C4⋊C4—62no—
1486C4⋊C4—62no—
1487C4⋊C4—62no—
1488C4⋊C4—62no—
1489C4⋊C4—62no—
1490C4⋊C4—62no—
1491C4⋊C4—62no—
1492C4⋊C4—62no—
1493C4⋊C4D3×D414yes—
1494C22⋊C4—22no—
1495C22⋊C4—22no—
1496C22⋊C4—22no—
1497C22⋊C4—22no—
1498C22⋊C4—22no—
1499C22⋊C4—22no—
1500C22⋊C4—22no—
1501C22⋊C4—41no—
1502C22⋊C4—41no—
1503C22⋊C4—41no—
1504C22⋊C4—41no—
1505C22⋊C4—41no—
1506C22⋊C4—41no—
1507C22⋊C4—62no—
1508C22⋊C4—62no—
1509C22⋊C4—62no—
1510C22⋊C4—62no—
1511C22⋊C4—62no—
1512C22⋊C4—62no—
1513C22⋊C4—62no—
1514C22⋊C4—62no—
1515C22⋊C4—62no—
1516C22⋊C4—62no—
1517C22⋊C4—62no—
1518C22⋊C4—62no—
1519C22⋊C4—62no—
1520C22⋊C4—62no—
1521C22⋊C4—62no—
1522C22⋊C4—62no—
1523C22⋊C4—62no—
1524C22⋊C4—62no—
1525C22⋊C4—62no—
1526C22⋊C4—121no—
1527C22⋊C4—121no—
1528C22⋊C4—121no—
1529C22⋊C4—121no—
1530C22⋊C4—121no—
1531C22⋊C4—121no—
1532C22⋊C4—121no—
1533C22⋊C4—121no—
1534C22⋊C4—121no—
1535C22⋊C4—121no—
1536C22⋊C4—121no—
1537C22⋊C4—121no—
1538C22⋊C4—121no—
1539C22⋊C4—121no—
1540C22⋊C4—121no—
1541C22⋊C4—121no—
1542C22⋊C4—121no—
1543C22⋊C4—121no—
1544C42—22no—
1545C42—34no—
1546C42—34no—
1547C42—62no—
1548C42—62no—
1549C42—62no—
1550C42—62no—
1551C42—62no—
1552C42—62no—
1553C42—62no—
1554C42—62no—
1555C42—62no—
1556C42—62no—
1557C22×C3—41no—
1558C22×C3—41no—
1559C22×C3—41no—
1560C22×C3—41no—
1561C22×C3—41no—
1562C22×C3—41no—
1563C22×C3—41no—
1564C22×C3—41no—
1565C22×C3—41no—
1566C22×C3—41no—
1567C22×C3—41no—
1568C22×C3—41no—
1569C22×C3—41no—
1570C22×C3—41no—
1571C22×C3—41no—
1572C22×C3—41no—
1573C22×C3—41no—
1574C22×C3—41no—
1575C22×C3—41no—
1576C22×C3—41no—
1577C22×C3—41no—
1578C22×C3—41no—
1579C22×C3—41no—
1580C22×C3—41no—
1581C22×C3—41no—
1582C22×C3—41no—
1583C22×C3—41no—
1584C22×C3—41no—
1585C22×C3—41no—
1586C22×C3—41no—
1587C22×C3—41no—
1588C22×C3—41no—
1589C22×C3—41no—
1590C22×C3—41no—
1591C22×C3—41no—
1592C22×C3C23×D411yescharacteristic
1593C22×C3C22×#4111yescharacteristic
1594C22×C3C2×H(5,𝔽2)11yescharacteristic
1595C22×C3C2×H(5,𝔽2)11yescharacteristic
1596C22×C3C2×H(5,𝔽2)11yescharacteristic
1597C22×C3C2×H(5,𝔽2)11yescharacteristic
1598C22×C3C2×H(5,𝔽2)11yescharacteristic
1599C2×D3—41no—
1600C2×D3—41no—
1601C2×D3—41no—
1602C2×D3—41no—
1603C2×D3—41no—
1604C2×D3—41no—
1605C2×D3—41no—
1606C2×D3—41no—
1607C2×D3—41no—
1608C2×D3—41no—
1609C2×D3—41no—
1610C2×D3—41no—
1611C2×D3—41no—
1612C2×D3—41no—
1613C2×D3—41no—
1614C2×D3—41no—
1615C2×D3—41no—
1616C2×D3—41no—
1617C2×D3—41no—
1618C2×D3—41no—
1619C2×D3—41no—
1620C2×D3—41no—
1621C2×D3—41no—
1622C2×D3—41no—
1623C2×D3—41no—
1624C2×D3—41no—
1625C2×D3—41no—
1626C2×D3—41no—
1627C2×D3—41no—
1628C2×D3—41no—
1629C2×D3—41no—
1630C2×D3—41no—
1631C2×D3—41no—
1632C2×D3—41no—
1633C2×D3—41no—
1634C3×C4—22no—
1635C3×C4—22no—
1636C3×C4—22no—
1637C3×C4—22no—
1638C3×C4—22no—
1639C3×C4—41no—
1640C3×C4—41no—
1641C3×C4—41no—
1642C3×C4—41no—
1643C3×C4—41no—
1644Dic3—22no—
1645Dic3—22no—
1646Dic3—22no—
1647Dic3—22no—
1648Dic3—41no—
1649Dic3—41no—
1650Dic3—41no—
1651Dic3—41no—
1652Dic3—41no—
1653Dic3#54014yescomplemented
1654Dic3#55014yes—
1655C23—21no—
1656C23—21no—
1657C23—21no—
1658C23—21no—
1659C23—21no—
1660C23—21no—
1661C23—21no—
1662C23—21no—
1663C23—21no—
1664C23—21no—
1665C23—21no—
1666C23—21no—
1667C23—21no—
1668C23—21no—
1669C23—21no—
1670C23—21no—
1671C23—21no—
1672C23—21no—
1673C23—21no—
1674C23—21no—
1675C23—21no—
1676C23—21no—
1677C23—21no—
1678C23—21no—
1679C23—21no—
1680C23—21no—
1681C23—21no—
1682C23—21no—
1683C23—21no—
1684C23—21no—
1685C23—21no—
1686C23—21no—
1687C23—21no—
1688C23—21no—
1689C23—21no—
1690C23—61no—
1691C23—61no—
1692C23—61no—
1693C23—61no—
1694C23—61no—
1695C23—61no—
1696C23—61no—
1697C23—61no—
1698C23—61no—
1699C23—61no—
1700C23—61no—
1701C23—61no—
1702C23—61no—
1703C23—61no—
1704C23—61no—
1705C23—61no—
1706C23—61no—
1707C23—61no—
1708C23—61no—
1709C23—61no—
1710C23—61no—
1711C23—61no—
1712C23—61no—
1713C23—61no—
1714C23—61no—
1715C23—61no—
1716C23—61no—
1717C23—61no—
1718C23—61no—
1719C23—61no—
1720C23—61no—
1721C23—61no—
1722C23—61no—
1723C23—61no—
1724C23—61no—
1725C23C24×D311yescharacteristic
1726D4—82no—
1727D4—82no—
1728D4—82no—
1729D4—82no—
1730D4—82no—
1731D4—82no—
1732D4—82no—
1733D4—82no—
1734D4—82no—
1735D4—82no—
1736D4—124no—
1737D4—124no—
1738D4—124no—
1739D4—124no—
1740D4—124no—
1741D4—124no—
1742D4—124no—
1743D4—124no—
1744D4—124no—
1745D4—242no—
1746D4—242no—
1747D4—242no—
1748D4—242no—
1749D4—242no—
1750D4—242no—
1751D4—242no—
1752D4—242no—
1753D4—242no—
1754D4—242no—
1755D4—242no—
1756D4—242no—
1757D4—242no—
1758D4—242no—
1759D4—242no—
1760D4—242no—
1761D4—242no—
1762D4—242no—
1763D4—242no—
1764D4—242no—
1765D4—242no—
1766D4—242no—
1767D4—242no—
1768D4—242no—
1769D4—242no—
1770D4—242no—
1771C2×C4—21no—
1772C2×C4—21no—
1773C2×C4—21no—
1774C2×C4—21no—
1775C2×C4—21no—
1776C2×C4—21no—
1777C2×C4—21no—
1778C2×C4—21no—
1779C2×C4—21no—
1780C2×C4—21no—
1781C2×C4—21no—
1782C2×C4—21no—
1783C2×C4—21no—
1784C2×C4—21no—
1785C2×C4—21no—
1786C2×C4—21no—
1787C2×C4—21no—
1788C2×C4—21no—
1789C2×C4—21no—
1790C2×C4—21no—
1791C2×C4—21no—
1792C2×C4—21no—
1793C2×C4—21no—
1794C2×C4—21no—
1795C2×C4—21no—
1796C2×C4—32no—
1797C2×C4—32no—
1798C2×C4—32no—
1799C2×C4—32no—
1800C2×C4—32no—
1801C2×C4—32no—
1802C2×C4—32no—
1803C2×C4—32no—
1804C2×C4—32no—
1805C2×C4—32no—
1806C2×C4—61no—
1807C2×C4—61no—
1808C2×C4—61no—
1809C2×C4—61no—
1810C2×C4—61no—
1811C2×C4—61no—
1812C2×C4—61no—
1813C2×C4—61no—
1814C2×C4—61no—
1815C2×C4—61no—
1816C2×C4—61no—
1817C2×C4—61no—
1818C2×C4—61no—
1819C2×C4—61no—
1820C2×C4—61no—
1821C2×C4—61no—
1822C2×C4—61no—
1823C2×C4—61no—
1824C2×C4—61no—
1825C2×C4—61no—
1826C2×C4—61no—
1827C2×C4—61no—
1828C2×C4—61no—
1829C2×C4—82no—
1830C2×C4—82no—
1831C2×C4—124no—
1832C2×C4—124no—
1833C2×C4—242no—
1834C2×C4—242no—
1835C2×C4—242no—
1836C2×C4—242no—
1837C2×C4—242no—
1838C2×C4—242no—
1839C2×C4C2×D3×D412yes—
1840C2×C4C2×D3×D412yes—
1841C2×C4C2×D3×D412yes—
1842C2×C4#100412yes—
1843C2×C4D3×#4112yes—
1844C2×C3—81no—
1845C2×C3—81no—
1846C2×C3—81no—
1847C2×C3—81no—
1848C2×C3—81no—
1849C2×C3C2×#54011yescharacteristic
1850C2×C3C2×#55011yescharacteristic
1851C2×C3#349811yescharacteristic
1852C2×C3#349811yescharacteristic
1853C2×C3#350811yescharacteristic
1854C2×C3#354311yescharacteristic
1855C2×C3#354311yescharacteristic
1856D3—81no—
1857D3—81no—
1858D3—81no—
1859D3—81no—
1860D3—81no—
1861C22—41no—
1862C22—41no—
1863C22—41no—
1864C22—41no—
1865C22—41no—
1866C22—41no—
1867C22—41no—
1868C22—41no—
1869C22—41no—
1870C22—41no—
1871C22—41no—
1872C22—41no—
1873C22—41no—
1874C22—41no—
1875C22—41no—
1876C22—41no—
1877C22—41no—
1878C22—41no—
1879C22—41no—
1880C22—41no—
1881C22—41no—
1882C22—41no—
1883C22—41no—
1884C22—41no—
1885C22—41no—
1886C22—41no—
1887C22—41no—
1888C22—41no—
1889C22—41no—
1890C22—41no—
1891C22—41no—
1892C22—41no—
1893C22—41no—
1894C22—41no—
1895C22—41no—
1896C22—121no—
1897C22—121no—
1898C22—121no—
1899C22—121no—
1900C22—121no—
1901C22—121no—
1902C22—121no—
1903C22—121no—
1904C22—121no—
1905C22—121no—
1906C22—121no—
1907C22—121no—
1908C22—121no—
1909C22—121no—
1910C22—121no—
1911C22—121no—
1912C22—121no—
1913C22—121no—
1914C22—121no—
1915C22—121no—
1916C22—121no—
1917C22—121no—
1918C22—121no—
1919C22—121no—
1920C22—121no—
1921C22—121no—
1922C22—121no—
1923C22—121no—
1924C22—121no—
1925C22—121no—
1926C22—121no—
1927C22—121no—
1928C22—121no—
1929C22—121no—
1930C22—121no—
1931C22C22×D3×D411yescharacteristic
1932C22C2×#100411yescharacteristic
1933C22C2×D3×#4111yescharacteristic
1934C22D3×H(5,𝔽2)11yescharacteristic
1935C22D3×H(5,𝔽2)11yescharacteristic
1936C22D3×H(5,𝔽2)11yescharacteristic
1937C22D3×H(5,𝔽2)11yescharacteristic
1938C4—22no—
1939C4—22no—
1940C4—22no—
1941C4—22no—
1942C4—22no—
1943C4—34no—
1944C4—34no—
1945C4—41no—
1946C4—41no—
1947C4—41no—
1948C4—41no—
1949C4—41no—
1950C4—62no—
1951C4—62no—
1952C4—62no—
1953C4—62no—
1954C4—121no—
1955C4—121no—
1956C4—121no—
1957C4—121no—
1958C4—121no—
1959C3#3938611yescharacteristic, complemented, Sylow
1960C2—81no—
1961C2—81no—
1962C2—81no—
1963C2—81no—
1964C2—81no—
1965C2—241no—
1966C2—241no—
1967C2—241no—
1968C2—241no—
1969C2—241no—
1970C2#8630311yescharacteristic
1971C2#8631611yescharacteristic
1972C2D3×#54011yescharacteristic
1973C2#8660811yescharacteristic
1974C2#8663311yescharacteristic
1975C2D3×#55011yescharacteristic
1976C2#8708311yescharacteristic
subgroupG/H
center, FrattiniC23C24×D3
commutator, socle, cosocleC23×C3C25
FittingC3×#2673C2
hypercenter#2673D3
hypocenterC3#39386
LCSG ▷ C23×C3 ▷ C3
UCSC1 ◁ C23 ◁ #2673

Complements

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

NH ≅ G/Ntype
1. C2×#5663C2semidirect
2. C2×#5615C2semidirect
3. C3×#2673C2semidirect
4. #83185C2semidirect
5. #83182C2semidirect
6. #82849C2semidirect
7. #82669C2semidirect
8. #82669C2semidirect
9. #82650C2semidirect
10. #76971C2semidirect
11. #76907C2semidirect
12. #76906C2semidirect
13. #76903C2semidirect
14. #76769C2semidirect
15. #76712C2semidirect
16. #76698C2semidirect
17. #76688C2semidirect
18. #76688C2semidirect
19. #76688C2semidirect
20. #76688C2semidirect
21. #76671C2semidirect
22. #75914C2semidirect
23. #75450C2semidirect
24. #75387C2semidirect
25. #74943C2semidirect
26. #74915C2semidirect
27. #74791C2semidirect
28. #74708C2semidirect
29. #74698C2semidirect
30. #74679C2semidirect
31. #74679C2semidirect
200. #2673D3semidirect
401. #889D4semidirect
1653. Dic3#540semidirect
1959. C3#39386semidirect

Maximal subgroups

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

subgroupindex
C2×#56632
C2×#56152
C3×#26732
#831852
#831822
#828492
#826692
#826502
#769712
#769072
#769062
#769032
#767692
#767122
#766982
#766882
#766712
#759142
#754502
#753872
#749432
#749152
#747912
#747082
#746982
#746792
#393863