Finite Group Databasebeta

← #11026003

Subgroups — #11026003

Order 768.

2432 conjugacy classes of subgroups.

The subgroup lattice has 1734 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#5617C211yesmaximal, characteristic, complemented
2C2×#5538C211yesmaximal, characteristic, complemented
3C3×#2428C211yesmaximal, characteristic, complemented
4#83186C211yesmaximal, characteristic, complemented
5#83182C211yesmaximal, characteristic, complemented
6#82707C211yesmaximal, characteristic, complemented
7#82707C211yesmaximal, characteristic, complemented
8#82706C211yesmaximal, characteristic, complemented
9#82695C211yesmaximal, characteristic, complemented
10#82685C211yesmaximal, characteristic, complemented
11#82637C211yesmaximal, characteristic, complemented
12Dic3×#121C211yesmaximal, characteristic, complemented
13#82370C211yesmaximal, characteristic, complemented
14#77001C211yesmaximal, characteristic, complemented
15#77001C211yesmaximal, characteristic, complemented
16#76996C211yesmaximal, characteristic, complemented
17#76915C211yesmaximal, characteristic, complemented
18#76772C211yesmaximal, characteristic, complemented
19#76767C211yesmaximal, characteristic, complemented
20#76704C211yesmaximal, characteristic, complemented
21#76681C211yesmaximal, characteristic, complemented
22#76331C211yesmaximal, characteristic, complemented
23#76312C211yesmaximal, characteristic, complemented
24#76123C211yesmaximal, characteristic, complemented
25#75975C211yesmaximal, characteristic, complemented
26#74869C211yesmaximal, characteristic, complemented
27#74725C211yesmaximal, characteristic, complemented
28#74716C211yesmaximal, characteristic, complemented
29#74715C211yesmaximal, characteristic, complemented
30#73574C211yesmaximal, characteristic, complemented
31#73498C211yesmaximal, characteristic, complemented
32#37737—31nomaximal, Sylow
33C2×C3×#127C2211yescharacteristic, complemented
34C2×C3×#121C2211yescharacteristic
35C2×C3×#121C2211yescharacteristic
36C2×C3×#121C2211yescharacteristic
37C2×C3×#121C2211yescharacteristic
38C2×C3×C4×D4C2211yescharacteristic, complemented
39C2×#939C2211yescharacteristic
40C2×#939C2211yescharacteristic
41C2×#939C2211yescharacteristic
42C2×#939C2211yescharacteristic
43C2×#938C2211yescharacteristic
44C2×#938C2211yescharacteristic
45C2×#937C2211yescharacteristic
46C2×#937C2211yescharacteristic
47C2×#937C2211yescharacteristic
48C2×#937C2211yescharacteristic
49C2×#935C2211yescharacteristic, complemented
50C2×D4×Dic3C2211yescharacteristic
51C2×D4×Dic3C2211yescharacteristic
52C2×D4×Dic3C2211yescharacteristic
53C2×D4×Dic3C2211yescharacteristic, complemented
54C2×C4×#67C2211yescharacteristic
55C2×C4×#67C2211yescharacteristic
56C22×(C2×D3)⋊C4C2211yescharacteristic
57C2×#926C2211yescharacteristic, complemented
58C2×#924C2211yescharacteristic
59C22×C4×Dic3C2211yescharacteristic, complemented
60#5617—28no—
61#5538—28no—
62C2×#898C2211yescharacteristic
63C2×#898C2211yescharacteristic
64C2×#889C2211yescharacteristic, complemented
65C2×#886C2211yescharacteristic
66C2×#886C2211yescharacteristic
67C2×#886C2211yescharacteristic
68C2×#885C2211yescharacteristic
69C2×#885C2211yescharacteristic
70C2×#885C2211yescharacteristic
71C2×#885C2211yescharacteristic
72C2×D3×C22⋊C4C2211yescharacteristic
73C2×#879C2211yescharacteristic, complemented
74C2×#878C2211yescharacteristic, complemented
75C2×#878C2211yescharacteristic, complemented
76C2×#878C2211yescharacteristic, complemented
77C2×#872C2211yescharacteristic
78C2×C4×Dic6C2211yescharacteristic, complemented
79C3×#394C2211yescharacteristic, complemented
80C3×#394C2211yescharacteristic, complemented
81C3×#392C2211yescharacteristic
82C3×#392C2211yescharacteristic
83C3×#390C2211yescharacteristic, complemented
84C3×#389C2211yescharacteristic, complemented
85C3×#386C2211yescharacteristic, complemented
86C3×#386C2211yescharacteristic, complemented
87C3×C4×C22⋊C4C2211yescharacteristic
88#5223C2211yescharacteristic
89#5223C2211yescharacteristic
90#5223C2211yescharacteristic
91#5223C2211yescharacteristic
92#5223C2211yescharacteristic
93#5223C2211yescharacteristic
94#5222C2211yescharacteristic
95#5222C2211yescharacteristic
96#5222C2211yescharacteristic
97#5222C2211yescharacteristic
98#5222C2211yescharacteristic, complemented
99#5222C2211yescharacteristic, complemented
100#5222C2211yescharacteristic, complemented
101#5222C2211yescharacteristic, complemented
102#5221C2211yescharacteristic
103#5221C2211yescharacteristic
104#5221C2211yescharacteristic
105#5221C2211yescharacteristic, complemented
106#5220C2211yescharacteristic
107#5220C2211yescharacteristic
108#5220C2211yescharacteristic, complemented
109#5220C2211yescharacteristic, complemented
110#5220C2211yescharacteristic, complemented
111#5220C2211yescharacteristic, complemented
112#5220C2211yescharacteristic, complemented
113#5213C2211yescharacteristic
114#5213C2211yescharacteristic
115#5212C2211yescharacteristic, complemented
116#5210C2211yescharacteristic
117#5210C2211yescharacteristic
118C4×#217C2211yescharacteristic, complemented
119#4994C2211yescharacteristic
120#4994C2211yescharacteristic
121#4994C2211yescharacteristic
122#4990C2211yescharacteristic
123#4989C2211yescharacteristic
124#4989C2211yescharacteristic
125#4984C2211yescharacteristic, complemented
126#4984C2211yescharacteristic, complemented
127#4981C2211yescharacteristic, complemented
128#4980C2211yescharacteristic, complemented
129#4976C2211yescharacteristic, complemented
130Dic3×C4⋊C4C2211yescharacteristic, complemented
131Dic3×C4⋊C4C2211yescharacteristic, complemented
132#4961C2211yescharacteristic
133#4961C2211yescharacteristic
134#4961C2211yescharacteristic
135#4961C2211yescharacteristic
136#4959C2211yescharacteristic
137#4959C2211yescharacteristic
138#4958C2211yescharacteristic
139#4957C2211yescharacteristic
140#4957C2211yescharacteristic
141#4957C2211yescharacteristic
142#4957C2211yescharacteristic
143#4956C2211yescharacteristic
144#4956C2211yescharacteristic
145#4955C2211yescharacteristic
146#4951C2211yescharacteristic
147#4951C2211yescharacteristic
148#4951C2211yescharacteristic, complemented
149#4951C2211yescharacteristic, complemented
150#4951C2211yescharacteristic, complemented
151#4949C2211yescharacteristic, complemented
152#4949C2211yescharacteristic, complemented
153#4948C2211yescharacteristic
154#4948C2211yescharacteristic, complemented
155#4948C2211yescharacteristic, complemented
156#4948C2211yescharacteristic, complemented
157#4947C2211yescharacteristic
158#4947C2211yescharacteristic, complemented
159#4946C2211yescharacteristic
160#4946C2211yescharacteristic, complemented
161#4945C2211yescharacteristic, complemented
162#4944C2211yescharacteristic, complemented
163#4944C2211yescharacteristic, complemented
164#4944C2211yescharacteristic, complemented
165Dic3×C22⋊C4C2211yescharacteristic
166Dic3×C22⋊C4C2211yescharacteristic, complemented
167Dic3×C22⋊C4C2211yescharacteristic, complemented
168#4940C2211yescharacteristic
169#4940C2211yescharacteristic
170C4×(C2×D3)⋊C4C2211yescharacteristic
171#4933C2211yescharacteristic, complemented
172#4933C2211yescharacteristic, complemented
173#4928C2211yescharacteristic, complemented
174#4674C2211yescharacteristic
175#4670C2211yescharacteristic
176#4670C2211yescharacteristic
177#4669C2211yescharacteristic
178#4669C2211yescharacteristic
179#4669C2211yescharacteristic
180#4667C2211yescharacteristic
181#4664C2211yescharacteristic
182#4659C2211yescharacteristic, complemented
183#4656C2211yescharacteristic, complemented
184#4656C2211yescharacteristic, complemented
185#4655C2211yescharacteristic, complemented
186#4653C2211yescharacteristic, complemented
187#4653C2211yescharacteristic, complemented
188#4650C2211yescharacteristic, complemented
189#4646C2211yescharacteristic, complemented
190C2×#538—31no—
191C2×#529—31no—
192#2850—31no—
193#2725—31no—
194#2711—31no—
195#2681—31no—
196#2678—31no—
197#2673—31no—
198#2672—31no—
199#2672—31no—
200#2670—31no—
201#2662—31no—
202#2636—31no—
203#2476—31no—
204#2471—31no—
205#2467—31no—
206#2465—31no—
207#2463—31no—
208#2461—31no—
209#2459—31no—
210#2457—31no—
211#2428—31no—
212#2428D311yescharacteristic, complemented
213#2426—31no—
214#2424—31no—
215#2424—31no—
216#2424—31no—
217#2363—31no—
218#2342—31no—
219#2334—31no—
220C4×#121—31no—
221C24×D3C2311yescharacteristic
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
231C22×C3×D4C2311yescharacteristic
232C23×C3×C4C2311yescharacteristic
233C23×C3×C4C2311yescharacteristic
234C23×C3×C4C2311yescharacteristic
235C22×#67C2311yescharacteristic
236C22×#67C2311yescharacteristic
237C22×#67C2311yescharacteristic
238C22×#67C2311yescharacteristic
239C22×#67C2311yescharacteristic
240C22×#67C2311yescharacteristic
241C22×#67C2311yescharacteristic
242C22×#67C2311yescharacteristic
243C23×Dic3C2311yescharacteristic
244C23×Dic3C2311yescharacteristic
245C23×Dic3C2311yescharacteristic
246C23×Dic3C2311yescharacteristic
247C23×Dic3C2311yescharacteristic
248C22×C4×D3C2311yescharacteristic
249C22×C4×D3C2311yescharacteristic
250C22×Dic6C2311yescharacteristic
251C22×Dic6C2311yescharacteristic
252C3×#127—42no—
253C3×#121—24no—
254C3×#121—24no—
255C3×#121—24no—
256C3×#121—42no—
257C3×C4×D4—24no—
258C2×C3×C4⋊C4C2311yescharacteristic
259C2×C3×C4⋊C4C2311yescharacteristic
260C2×C3×C4⋊C4C2311yescharacteristic
261C2×C3×C4⋊C4C2311yescharacteristic
262C2×C3×C22⋊C4C2311yescharacteristic
263C2×C3×C22⋊C4C2311yescharacteristic
264C2×C3×C22⋊C4C2311yescharacteristic
265C2×C3×C22⋊C4C2311yescharacteristic
266C2×C3×C22⋊C4C2311yescharacteristic
267C2×C3×C22⋊C4C2311yescharacteristic
268C2×C3×C22⋊C4C2311yescharacteristic
269C2×C3×C22⋊C4C2311yescharacteristic
270C2×C3×C22⋊C4C2311yescharacteristic
271C2×C3×C22⋊C4C2311yescharacteristic
272C2×C3×C22⋊C4C2311yescharacteristic
273C2×C3×C22⋊C4C2311yescharacteristic
274C2×C3×C42C2311yescharacteristic
275C2×C3×C42C2311yescharacteristic
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
291C2×#217C2311yescharacteristic
292C2×#217C2311yescharacteristic
293C2×#217C2311yescharacteristic
294C2×#217C2311yescharacteristic
295C2×#217C2311yescharacteristic
296C2×#217C2311yescharacteristic
297C2×#217C2311yescharacteristic
298C2×#217C2311yescharacteristic
299C2×#217C2311yescharacteristic
300C2×#217C2311yescharacteristic
301C2×#217C2311yescharacteristic
302#939—24no—
303#939—24no—
304#939—24no—
305#939—42no—
306#938—42no—
307#938—42no—
308#937—24no—
309#937—24no—
310#937—42no—
311#937—42no—
312#935—24no—
313D4×Dic3—24no—
314D4×Dic3—24no—
315D4×Dic3—42no—
316D4×Dic3—42no—
317C4×#67—24no—
318C4×#67—24no—
319C2×(C2×D3)⋊C4—24no—
320C2×(C2×D3)⋊C4C2311yescharacteristic
321C2×(C2×D3)⋊C4C2311yescharacteristic
322C2×(C2×D3)⋊C4C2311yescharacteristic
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×(C2×D3)⋊C4C2311yescharacteristic
333C2×(C2×D3)⋊C4C2311yescharacteristic
334C2×(C2×D3)⋊C4C2311yescharacteristic
335C2×(C2×D3)⋊C4C2311yescharacteristic
336C2×(C2×D3)⋊C4C2311yescharacteristic
337C2×(C2×D3)⋊C4C2311yescharacteristic
338#926—24no—
339C2×C4⋊Dic3C2311yescharacteristic
340C2×C4⋊Dic3C2311yescharacteristic
341C2×C4⋊Dic3C2311yescharacteristic
342C2×C4⋊Dic3C2311yescharacteristic
343C2×C4⋊Dic3C2311yescharacteristic
344C2×C4⋊Dic3C2311yescharacteristic
345C2×C4⋊Dic3C2311yescharacteristic
346C2×C4⋊Dic3C2311yescharacteristic
347C2×C4⋊Dic3C2311yescharacteristic
348C2×C4⋊Dic3C2311yescharacteristic
349#924—24no—
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×C4×Dic3—24no—
365C2×C4×Dic3C2311yescharacteristic
366C2×C4×Dic3C2311yescharacteristic
367C2×C4×Dic3C2311yescharacteristic
368C2×C4×Dic3C2311yescharacteristic
369C2×C4×Dic3C2311yescharacteristic
370C2×C4×Dic3C2311yescharacteristic
371C2×C4×Dic3C2311yescharacteristic
372C2×C4×Dic3C2311yescharacteristic
373C2×C4×Dic3C2311yescharacteristic
374C2×C4×Dic3C2311yescharacteristic
375#898—24no—
376#898D418yescomplemented
377#889—24no—
378#886—24no—
379#886—24no—
380#886—24no—
381#885—24no—
382#885—24no—
383#885—24no—
384#885—42no—
385D3×C22⋊C4—24no—
386#879—24no—
387#878—24no—
388#878—42no—
389#878—42no—
390#872—24no—
391C4×Dic6—24no—
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
420#538—68no—
421C2×#127C2×D311yescharacteristic, complemented
422#529—68no—
423C2×#126—31no—
424C2×#126—31no—
425C2×#126—31no—
426C2×#125—31no—
427C2×#124—31no—
428C2×#124—31no—
429C2×#124—31no—
430C2×#124—31no—
431C2×#123—31no—
432C2×#123—31no—
433C2×#123—31no—
434C2×#123—31no—
435C2×C22⋊Q8—31no—
436C2×C22⋊Q8—31no—
437C2×C22⋊Q8—31no—
438C2×C22⋊Q8—31no—
439C2×#121—31no—
440C2×#121—31no—
441C2×#121—31no—
442C2×#121—31no—
443C2×#121—31no—
444C2×#121—31no—
445C2×#121C2×D311yescharacteristic
446C2×#121C2×D311yescharacteristic
447C2×#121C2×D311yescharacteristic
448C2×#121C2×D311yescharacteristic
449C2×#120—31no—
450C2×#120—31no—
451C2×#120—31no—
452C2×#120—31no—
453C2×C4×Q8—31no—
454C2×C4×D4—31no—
455C2×C4×D4—31no—
456C2×C4×D4—31no—
457C2×C4×D4—31no—
458C2×C4×D4—31no—
459C2×C4×D4—31no—
460C2×C4×D4C2×D311yescharacteristic, complemented
461C2×#117—31no—
462C2×#117—31no—
463C22×C22⋊C4—31no—
464C22×C22⋊C4—31no—
465C22×C42—31no—
466#400—31no—
467#399—31no—
468#399—31no—
469#398—31no—
470#397—31no—
471#396—31no—
472#396—31no—
473#396—31no—
474#396—31no—
475#396—31no—
476#396—31no—
477#396—31no—
478#395—31no—
479#395—31no—
480#394—31no—
481#394—31no—
482#394—31no—
483#394—31no—
484#394—31no—
485#394—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#394C2×D311yescharacteristic, complemented
495#394C2×D311yescharacteristic, complemented
496#393—31no—
497#393—31no—
498#392—31no—
499#392—31no—
500#392—31no—
501#392—31no—
502#392—31no—
503#392—31no—
504#392C2×D311yescharacteristic
505#392C2×D311yescharacteristic
506#391—31no—
507#390—31no—
508#390—31no—
509#390—31no—
510#390—31no—
511#390—31no—
512#390—31no—
513#390—31no—
514#390—31no—
515#390C2×D311yescharacteristic, complemented
516#389—31no—
517#389—31no—
518#389—31no—
519#389—31no—
520#389C2×D311yescharacteristic, complemented
521#388—31no—
522#388—31no—
523#388—31no—
524#388—31no—
525#388—31no—
526#388—31no—
527#388—31no—
528#388—31no—
529#388—31no—
530#388—31no—
531#388—31no—
532#388—31no—
533#388—31no—
534#388—31no—
535#388—31no—
536#388—31no—
537#388—31no—
538#387—31no—
539#387—31no—
540#387—31no—
541#387—31no—
542#387—31no—
543#387—31no—
544#386—31no—
545#386—31no—
546#386—31no—
547#386—31no—
548#386—31no—
549#386—31no—
550#386—31no—
551#386—31no—
552#386—31no—
553#386—31no—
554#386—31no—
555#386—31no—
556#386C2×D311yescharacteristic, complemented
557#386C2×D311yescharacteristic, complemented
558#385—31no—
559#385—31no—
560#385—31no—
561#385—31no—
562#385—31no—
563#385—31no—
564#382—31no—
565#381—31no—
566#380—31no—
567#380—31no—
568#379—31no—
569C4×C4⋊C4—31no—
570C4×C4⋊C4—31no—
571C4×C22⋊C4—31no—
572C4×C22⋊C4—31no—
573C4×C22⋊C4—31no—
574C4×C22⋊C4—31no—
575C4×C22⋊C4—31no—
576C4×C22⋊C4C2×D311yescharacteristic
577C24×C3C2411yescharacteristic
578C24×C3C2411yescharacteristic
579C24×C3C2411yescharacteristic
580C24×C3C2411yescharacteristic
581C24×C3C2411yescharacteristic
582C23×D3—22no—
583C23×D3—22no—
584C23×D3—41no—
585C23×D3—41no—
586C23×D3—41no—
587C23×D3—41no—
588C23×D3—41no—
589C23×D3C2411yescharacteristic
590C23×D3C2411yescharacteristic
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—22no—
603C2×C3×D4—22no—
604C2×C3×D4—22no—
605C2×C3×D4—41no—
606C2×C3×D4—41no—
607C2×C3×D4—41no—
608C2×C3×D4—41no—
609C2×C3×D4—41no—
610C2×C3×D4—41no—
611C2×C3×D4—41no—
612C2×C3×D4—41no—
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—
621C22×C3×C4—22no—
622C22×C3×C4—22no—
623C22×C3×C4—22no—
624C22×C3×C4—22no—
625C22×C3×C4—22no—
626C22×C3×C4—41no—
627C22×C3×C4—41no—
628C22×C3×C4—41no—
629C22×C3×C4—41no—
630C22×C3×C4C2411yescharacteristic
631C22×C3×C4C2411yescharacteristic
632C22×C3×C4C2411yescharacteristic
633C22×C3×C4C2411yescharacteristic
634C22×C3×C4C2411yescharacteristic
635C22×C3×C4C2411yescharacteristic
636C22×C3×C4C2411yescharacteristic
637C22×C3×C4C2411yescharacteristic
638C22×C3×C4C2411yescharacteristic
639C22×C3×C4C2411yescharacteristic
640C2×#67—22no—
641C2×#67—22no—
642C2×#67—22no—
643C2×#67—22no—
644C2×#67—22no—
645C2×#67—22no—
646C2×#67—22no—
647C2×#67—22no—
648C2×#67—22no—
649C2×#67—41no—
650C2×#67—41no—
651C2×#67—41no—
652C2×#67—41no—
653C2×#67—41no—
654C2×#67—41no—
655C2×#67—41no—
656C2×#67—41no—
657C2×#67—41no—
658C2×#67—41no—
659C2×#67—41no—
660C2×#67—41no—
661C2×#67—41no—
662C2×#67—41no—
663C2×#67—41no—
664C22×Dic3—22no—
665C22×Dic3—22no—
666C22×Dic3—22no—
667C22×Dic3—22no—
668C22×Dic3—22no—
669C22×Dic3—22no—
670C22×Dic3—22no—
671C22×Dic3—41no—
672C22×Dic3—41no—
673C22×Dic3—41no—
674C22×Dic3—41no—
675C22×Dic3—41no—
676C22×Dic3—41no—
677C22×Dic3—41no—
678C22×Dic3—41no—
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
693C2×C4×D3—22no—
694C2×C4×D3—22no—
695C2×C4×D3—22no—
696C2×C4×D3—41no—
697C2×C4×D3—41no—
698C2×C4×D3—41no—
699C2×Dic6—22no—
700C2×Dic6—22no—
701C2×Dic6—22no—
702C2×Dic6—41no—
703C2×Dic6—41no—
704C2×Dic6—41no—
705C3×C4⋊C4—22no—
706C3×C4⋊C4—22no—
707C3×C4⋊C4—41no—
708C3×C4⋊C4C2×D414yes—
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#4114yes—
721C3×C42—22no—
722C3×C42—41no—
723#217—22no—
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—41no—
737#217—41no—
738#217—41no—
739#217—41no—
740#217—41no—
741#217—41no—
742#217—41no—
743#217—41no—
744#217—41no—
745#217—41no—
746#217—41no—
747#217—41no—
748#217—41no—
749(C2×D3)⋊C4—22no—
750(C2×D3)⋊C4—22no—
751(C2×D3)⋊C4—22no—
752(C2×D3)⋊C4—22no—
753(C2×D3)⋊C4—22no—
754(C2×D3)⋊C4—22no—
755(C2×D3)⋊C4—22no—
756(C2×D3)⋊C4—22no—
757(C2×D3)⋊C4—22no—
758(C2×D3)⋊C4—41no—
759(C2×D3)⋊C4—41no—
760(C2×D3)⋊C4—41no—
761(C2×D3)⋊C4—41no—
762(C2×D3)⋊C4—41no—
763(C2×D3)⋊C4—41no—
764(C2×D3)⋊C4C2×D414yes—
765(C2×D3)⋊C4C2×D414yes—
766(C2×D3)⋊C4C2×D414yes—
767C4⋊Dic3—22no—
768C4⋊Dic3—22no—
769C4⋊Dic3—22no—
770C4⋊Dic3—22no—
771C4⋊Dic3—22no—
772C4⋊Dic3—22no—
773C4⋊Dic3—41no—
774C4⋊Dic3—41no—
775C4⋊Dic3—41no—
776C4⋊Dic3C2×D414yes—
777Dic3⋊C4—22no—
778Dic3⋊C4—22no—
779Dic3⋊C4—22no—
780Dic3⋊C4—22no—
781Dic3⋊C4—22no—
782Dic3⋊C4—22no—
783Dic3⋊C4—41no—
784Dic3⋊C4—41no—
785Dic3⋊C4—41no—
786Dic3⋊C4—41no—
787Dic3⋊C4—41no—
788Dic3⋊C4—41no—
789Dic3⋊C4—41no—
790Dic3⋊C4C2×D414yes—
791C4×Dic3—22no—
792C4×Dic3—22no—
793C4×Dic3—22no—
794C4×Dic3—22no—
795C4×Dic3—22no—
796C4×Dic3—41no—
797C4×Dic3—41no—
798C4×Dic3—41no—
799C4×Dic3—41no—
800C4×Dic3C2×D414yes—
801C25—31no—
802C22×Q8—31no—
803C22×Q8—31no—
804C22×D4—31no—
805C22×D4—31no—
806C22×D4—31no—
807C22×D4—31no—
808C22×D4—31no—
809C22×D4—31no—
810C22×D4—31no—
811C22×D4—31no—
812C22×D4C22×D311yescharacteristic
813C22×D4C22×D311yescharacteristic
814C22×D4C22×D311yescharacteristic
815C22×D4C22×D311yescharacteristic
816C22×D4C22×D311yescharacteristic
817C22×D4C22×D311yescharacteristic
818C22×D4C22×D311yescharacteristic
819C22×D4C22×D311yescharacteristic
820C22×D4C22×D311yescharacteristic
821C22×D4C22×D311yescharacteristic
822C23×C4—31no—
823C23×C4—31no—
824C23×C4—31no—
825C23×C4—31no—
826C23×C4—31no—
827C23×C4—31no—
828C23×C4—31no—
829C23×C4C22×D311yescharacteristic
830C23×C4C22×D311yescharacteristic
831C23×C4C22×D311yescharacteristic
832#127—42no—
833#126—38no—
834#126—64no—
835#126—64no—
836#125—64no—
837#124—64no—
838#124—64no—
839#124—64no—
840#124—122no—
841#123—64no—
842#123—64no—
843#123—64no—
844#123—64no—
845C22⋊Q8—64no—
846C22⋊Q8—64no—
847C22⋊Q8—122no—
848C22⋊Q8—122no—
849#121—24no—
850#121—24no—
851#121—24no—
852#121—42no—
853#121—64no—
854#121—64no—
855#121—64no—
856#121—122no—
857#121—122no—
858#121—122no—
859#120—64no—
860#120—64no—
861#120—122no—
862#120—122no—
863C4×Q8—64no—
864C4×D4—24no—
865C4×D4—64no—
866C4×D4—64no—
867C4×D4—64no—
868C4×D4—64no—
869C4×D4—122no—
870C4×D4—122no—
871#117—64no—
872#117—64no—
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—31no—
894C2×C4⋊C4—31no—
895C2×C4⋊C4—31no—
896C2×C4⋊C4—31no—
897C2×C4⋊C4C22×D311yescharacteristic
898C2×C4⋊C4C22×D311yescharacteristic
899C2×C4⋊C4C22×D311yescharacteristic
900C2×C4⋊C4C22×D311yescharacteristic
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—31no—
933C2×C22⋊C4—31no—
934C2×C22⋊C4—31no—
935C2×C22⋊C4—31no—
936C2×C22⋊C4—31no—
937C2×C22⋊C4—31no—
938C2×C22⋊C4—31no—
939C2×C22⋊C4—31no—
940C2×C22⋊C4—31no—
941C2×C22⋊C4—31no—
942C2×C22⋊C4—31no—
943C2×C22⋊C4—31no—
944C2×C22⋊C4—31no—
945C2×C22⋊C4—64no—
946C2×C22⋊C4—64no—
947C2×C22⋊C4C22×D311yescharacteristic
948C2×C22⋊C4C22×D311yescharacteristic
949C2×C22⋊C4C22×D311yescharacteristic
950C2×C22⋊C4C22×D311yescharacteristic
951C2×C22⋊C4C22×D311yescharacteristic
952C2×C22⋊C4C22×D311yescharacteristic
953C2×C22⋊C4C22×D311yescharacteristic
954C2×C22⋊C4C22×D311yescharacteristic
955C2×C22⋊C4C22×D311yescharacteristic
956C2×C22⋊C4C22×D311yescharacteristic
957C2×C22⋊C4C22×D311yescharacteristic
958C2×C22⋊C4C22×D311yescharacteristic
959C2×C42—31no—
960C2×C42—31no—
961C2×C42—31no—
962C2×C42—31no—
963C2×C42—31no—
964C2×C42—31no—
965C2×C42—31no—
966C2×C42—31no—
967C2×C42—31no—
968C2×C42—31no—
969C2×C42—64no—
970C2×C42C22×D311yescharacteristic
971C2×C42C22×D311yescharacteristic
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#95—31no—
989#95—31no—
990#95—31no—
991#95—31no—
992#95—31no—
993#95—31no—
994#95—31no—
995#95—31no—
996#95C22×D311yescharacteristic
997#95C22×D311yescharacteristic
998#95C22×D311yescharacteristic
999#95C22×D311yescharacteristic
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—21no—
1023C23×C3—21no—
1024C23×C3—21no—
1025C23×C3—21no—
1026C23×C3—21no—
1027C23×C3—21no—
1028C23×C3—21no—
1029C23×C3—21no—
1030C23×C3—21no—
1031C23×C3—21no—
1032C23×C3—21no—
1033C23×C3C2×#4112yes—
1034C23×C3H(5,𝔽2)12yes—
1035C23×C3C2511yescharacteristic
1036C22×D3—21no—
1037C22×D3—21no—
1038C22×D3—21no—
1039C22×D3—21no—
1040C22×D3—21no—
1041C22×D3—21no—
1042C22×D3—21no—
1043C22×D3—21no—
1044C22×D3—21no—
1045C22×D3—21no—
1046C22×D3—21no—
1047C22×D3—21no—
1048C22×D3—21no—
1049C22×D3—44no—
1050C22×D3—44no—
1051C22×D3—82no—
1052C22×D3—82no—
1053C22×D3—82no—
1054C22×D3—82no—
1055C22×D3—82no—
1056C22×D3C22×D412yes—
1057C3×D4—44no—
1058C3×D4—44no—
1059C3×D4—44no—
1060C3×D4—44no—
1061C3×D4—44no—
1062C3×D4—82no—
1063C3×D4—82no—
1064C3×D4—82no—
1065C3×D4—82no—
1066C3×D4—82no—
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—21no—
1079C2×C3×C4—21no—
1080C2×C3×C4—21no—
1081C2×C3×C4—21no—
1082C2×C3×C4—21no—
1083C2×C3×C4—21no—
1084C2×C3×C4—21no—
1085C2×C3×C4—21no—
1086C2×C3×C4—21no—
1087C2×C3×C4—21no—
1088C2×C3×C4—21no—
1089C2×C3×C4—21no—
1090C2×C3×C4—21no—
1091C2×C3×C4—21no—
1092C2×C3×C4—44no—
1093C2×C3×C4—44no—
1094C2×C3×C4—82no—
1095C2×C3×C4C22×D412yes—
1096C2×C3×C4C22×D412yes—
1097C2×C3×C4C22×D412yes—
1098C2×C3×C4C2×#4112yes—
1099C2×C3×C4C2×#4112yes—
1100#67—44no—
1101#67—44no—
1102#67—82no—
1103#67—82no—
1104#67—82no—
1105#67—82no—
1106#67—82no—
1107#67—82no—
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—21no—
1129C2×Dic3—21no—
1130C2×Dic3—21no—
1131C2×Dic3—21no—
1132C2×Dic3—21no—
1133C2×Dic3—21no—
1134C2×Dic3—21no—
1135C2×Dic3—21no—
1136C2×Dic3—21no—
1137C2×Dic3—21no—
1138C2×Dic3—21no—
1139C2×Dic3—21no—
1140C2×Dic3—21no—
1141C2×Dic3—21no—
1142C2×Dic3—21no—
1143C2×Dic3—21no—
1144C2×Dic3—21no—
1145C2×Dic3—21no—
1146C2×Dic3—44no—
1147C2×Dic3—44no—
1148C2×Dic3—82no—
1149C2×Dic3—82no—
1150C2×Dic3—82no—
1151C2×Dic3C22×D412yes—
1152C2×Dic3C22×D412yes—
1153C2×Dic3C22×D412yes—
1154C2×Dic3H(5,𝔽2)12yes—
1155C4×D3—44no—
1156C4×D3—82no—
1157Dic6—44no—
1158Dic6—82no—
1159C24—31no—
1160C24—31no—
1161C24—62no—
1162C24—62no—
1163C24—121no—
1164C24—121no—
1165C24—121no—
1166C24—121no—
1167C24—121no—
1168C24C23×D311yescharacteristic
1169C24C23×D311yescharacteristic
1170C24C23×D311yescharacteristic
1171C24C23×D311yescharacteristic
1172C24C23×D311yescharacteristic
1173C2×Q8—62no—
1174C2×Q8—62no—
1175C2×Q8—62no—
1176C2×Q8—121no—
1177C2×Q8—121no—
1178C2×Q8—121no—
1179C2×D4—22no—
1180C2×D4—22no—
1181C2×D4—22no—
1182C2×D4—22no—
1183C2×D4—22no—
1184C2×D4—22no—
1185C2×D4—22no—
1186C2×D4—22no—
1187C2×D4—22no—
1188C2×D4—22no—
1189C2×D4—22no—
1190C2×D4—22no—
1191C2×D4—22no—
1192C2×D4—22no—
1193C2×D4—41no—
1194C2×D4—41no—
1195C2×D4—41no—
1196C2×D4—41no—
1197C2×D4—41no—
1198C2×D4—41no—
1199C2×D4—41no—
1200C2×D4—41no—
1201C2×D4—41no—
1202C2×D4—41no—
1203C2×D4—41no—
1204C2×D4—41no—
1205C2×D4—41no—
1206C2×D4—41no—
1207C2×D4—41no—
1208C2×D4—41no—
1209C2×D4—62no—
1210C2×D4—62no—
1211C2×D4—62no—
1212C2×D4—62no—
1213C2×D4—62no—
1214C2×D4—62no—
1215C2×D4—62no—
1216C2×D4—62no—
1217C2×D4—62no—
1218C2×D4—121no—
1219C2×D4—121no—
1220C2×D4—121no—
1221C2×D4—121no—
1222C2×D4—121no—
1223C2×D4—121no—
1224C2×D4—121no—
1225C2×D4—121no—
1226C2×D4—121no—
1227C2×D4—121no—
1228C2×D4—121no—
1229C2×D4—121no—
1230C2×D4—121no—
1231C2×D4—121no—
1232C2×D4—121no—
1233C22×C4—22no—
1234C22×C4—22no—
1235C22×C4—22no—
1236C22×C4—22no—
1237C22×C4—22no—
1238C22×C4—31no—
1239C22×C4—31no—
1240C22×C4—31no—
1241C22×C4—31no—
1242C22×C4—31no—
1243C22×C4—31no—
1244C22×C4—31no—
1245C22×C4—31no—
1246C22×C4—31no—
1247C22×C4—31no—
1248C22×C4—31no—
1249C22×C4—31no—
1250C22×C4—31no—
1251C22×C4—31no—
1252C22×C4—41no—
1253C22×C4—41no—
1254C22×C4—41no—
1255C22×C4—41no—
1256C22×C4—62no—
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—121no—
1267C22×C4—121no—
1268C22×C4—121no—
1269C22×C4—121no—
1270C22×C4—121no—
1271C22×C4—121no—
1272C22×C4—121no—
1273C22×C4—121no—
1274C22×C4—121no—
1275C22×C4—121no—
1276C22×C4—121no—
1277C22×C4C23×D311yescharacteristic
1278C22×C4C23×D311yescharacteristic
1279C22×C4C23×D311yescharacteristic
1280C22×C4C23×D311yescharacteristic
1281C22×C4C23×D311yescharacteristic
1282C22×C4C23×D311yescharacteristic
1283C22×C4C23×D311yescharacteristic
1284C22×C4C23×D311yescharacteristic
1285C22×C4C23×D311yescharacteristic
1286C22×C4C23×D311yescharacteristic
1287C4⋊C4—22no—
1288C4⋊C4—22no—
1289C4⋊C4—34no—
1290C4⋊C4—34no—
1291C4⋊C4—41no—
1292C4⋊C4—62no—
1293C4⋊C4—62no—
1294C4⋊C4—62no—
1295C4⋊C4—62no—
1296C4⋊C4—62no—
1297C4⋊C4—62no—
1298C4⋊C4—62no—
1299C4⋊C4—62no—
1300C4⋊C4—62no—
1301C4⋊C4—62no—
1302C4⋊C4—62no—
1303C4⋊C4—62no—
1304C4⋊C4—121no—
1305C4⋊C4—121no—
1306C4⋊C4—121no—
1307C4⋊C4—121no—
1308C4⋊C4—121no—
1309C4⋊C4—121no—
1310C4⋊C4—121no—
1311C4⋊C4—121no—
1312C4⋊C4—121no—
1313C4⋊C4—121no—
1314C4⋊C4D3×D414yes—
1315C22⋊C4—22no—
1316C22⋊C4—22no—
1317C22⋊C4—22no—
1318C22⋊C4—22no—
1319C22⋊C4—22no—
1320C22⋊C4—22no—
1321C22⋊C4—22no—
1322C22⋊C4—34no—
1323C22⋊C4—34no—
1324C22⋊C4—34no—
1325C22⋊C4—41no—
1326C22⋊C4—41no—
1327C22⋊C4—41no—
1328C22⋊C4—41no—
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—62no—
1342C22⋊C4—62no—
1343C22⋊C4—62no—
1344C22⋊C4—62no—
1345C22⋊C4—62no—
1346C22⋊C4—62no—
1347C22⋊C4—62no—
1348C22⋊C4—62no—
1349C22⋊C4—62no—
1350C22⋊C4—62no—
1351C22⋊C4—121no—
1352C22⋊C4—121no—
1353C22⋊C4—121no—
1354C22⋊C4—121no—
1355C22⋊C4—121no—
1356C22⋊C4—121no—
1357C22⋊C4—121no—
1358C22⋊C4—121no—
1359C22⋊C4—121no—
1360C22⋊C4—121no—
1361C22⋊C4—121no—
1362C22⋊C4—121no—
1363C22⋊C4—121no—
1364C22⋊C4—121no—
1365C22⋊C4—121no—
1366C22⋊C4—121no—
1367C22⋊C4—121no—
1368C22⋊C4—121no—
1369C22⋊C4—121no—
1370C22⋊C4#23714yes—
1371C42—22no—
1372C42—34no—
1373C42—41no—
1374C42—62no—
1375C42—62no—
1376C42—62no—
1377C42—62no—
1378C42—62no—
1379C42—121no—
1380C42—121no—
1381C42—121no—
1382C42—121no—
1383C22×C3—22no—
1384C22×C3—22no—
1385C22×C3—22no—
1386C22×C3—22no—
1387C22×C3—22no—
1388C22×C3—22no—
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—41no—
1398C22×C3—41no—
1399C22×C3—41no—
1400C22×C3—41no—
1401C22×C3—41no—
1402C22×C3—41no—
1403C22×C3—41no—
1404C22×C3—41no—
1405C22×C3—41no—
1406C22×C3—41no—
1407C22×C3—41no—
1408C22×C3—41no—
1409C22×C3—41no—
1410C22×C3—41no—
1411C22×C3—41no—
1412C22×C3—41no—
1413C22×C3—41no—
1414C22×C3—41no—
1415C22×C3—41no—
1416C22×C3—41no—
1417C22×C3—41no—
1418C22×C3C23×D411yescharacteristic
1419C22×C3C22×#4111yescharacteristic
1420C22×C3C2×H(5,𝔽2)11yescharacteristic
1421C22×C3C2×H(5,𝔽2)11yescharacteristic
1422C22×C3#58511yescharacteristic
1423C22×C3#58511yescharacteristic
1424C22×C3#58511yescharacteristic
1425C2×D3—22no—
1426C2×D3—22no—
1427C2×D3—22no—
1428C2×D3—41no—
1429C2×D3—41no—
1430C2×D3—41no—
1431C2×D3—41no—
1432C2×D3—41no—
1433C2×D3—41no—
1434C2×D3—41no—
1435C2×D3—41no—
1436C2×D3—41no—
1437C2×D3—41no—
1438C2×D3—41no—
1439C2×D3—88no—
1440C3×C4—22no—
1441C3×C4—22no—
1442C3×C4—22no—
1443C3×C4—22no—
1444C3×C4—22no—
1445C3×C4—41no—
1446C3×C4—41no—
1447C3×C4—41no—
1448C3×C4—41no—
1449C3×C4—41no—
1450Dic3—22no—
1451Dic3—22no—
1452Dic3—22no—
1453Dic3—22no—
1454Dic3—41no—
1455Dic3—41no—
1456Dic3—41no—
1457Dic3—41no—
1458Dic3—41no—
1459Dic3—41no—
1460Dic3—41no—
1461Dic3—41no—
1462Dic3—41no—
1463Dic3—41no—
1464C23—21no—
1465C23—21no—
1466C23—21no—
1467C23—21no—
1468C23—21no—
1469C23—21no—
1470C23—21no—
1471C23—21no—
1472C23—21no—
1473C23—21no—
1474C23—21no—
1475C23—21no—
1476C23—21no—
1477C23—21no—
1478C23—21no—
1479C23—21no—
1480C23—21no—
1481C23—21no—
1482C23—21no—
1483C23—21no—
1484C23—21no—
1485C23—21no—
1486C23—21no—
1487C23—21no—
1488C23—21no—
1489C23—21no—
1490C23—21no—
1491C23—21no—
1492C23—21no—
1493C23—21no—
1494C23—21no—
1495C23—21no—
1496C23—21no—
1497C23—32no—
1498C23—61no—
1499C23—61no—
1500C23—61no—
1501C23—61no—
1502C23—61no—
1503C23—61no—
1504C23—61no—
1505C23—61no—
1506C23—61no—
1507C23—61no—
1508C23—61no—
1509C23—61no—
1510C23—61no—
1511C23—124no—
1512C23—124no—
1513C23—242no—
1514C23—242no—
1515C23—242no—
1516C23—242no—
1517C23—242no—
1518C23C2×#23712yes—
1519C23#100412yes—
1520C23C24×D311yescharacteristic
1521Q8—124no—
1522Q8—242no—
1523D4—44no—
1524D4—44no—
1525D4—44no—
1526D4—44no—
1527D4—44no—
1528D4—82no—
1529D4—82no—
1530D4—82no—
1531D4—82no—
1532D4—82no—
1533D4—124no—
1534D4—124no—
1535D4—242no—
1536D4—242no—
1537D4—242no—
1538D4—242no—
1539D4—242no—
1540D4—242no—
1541C2×C4—21no—
1542C2×C4—21no—
1543C2×C4—21no—
1544C2×C4—21no—
1545C2×C4—21no—
1546C2×C4—21no—
1547C2×C4—21no—
1548C2×C4—21no—
1549C2×C4—21no—
1550C2×C4—21no—
1551C2×C4—21no—
1552C2×C4—21no—
1553C2×C4—21no—
1554C2×C4—21no—
1555C2×C4—21no—
1556C2×C4—21no—
1557C2×C4—21no—
1558C2×C4—21no—
1559C2×C4—21no—
1560C2×C4—21no—
1561C2×C4—21no—
1562C2×C4—21no—
1563C2×C4—21no—
1564C2×C4—21no—
1565C2×C4—21no—
1566C2×C4—32no—
1567C2×C4—32no—
1568C2×C4—32no—
1569C2×C4—32no—
1570C2×C4—44no—
1571C2×C4—44no—
1572C2×C4—61no—
1573C2×C4—61no—
1574C2×C4—61no—
1575C2×C4—61no—
1576C2×C4—61no—
1577C2×C4—61no—
1578C2×C4—61no—
1579C2×C4—61no—
1580C2×C4—61no—
1581C2×C4—61no—
1582C2×C4—61no—
1583C2×C4—61no—
1584C2×C4—61no—
1585C2×C4—61no—
1586C2×C4—61no—
1587C2×C4—61no—
1588C2×C4—61no—
1589C2×C4—61no—
1590C2×C4—61no—
1591C2×C4—61no—
1592C2×C4—61no—
1593C2×C4—61no—
1594C2×C4—61no—
1595C2×C4—61no—
1596C2×C4—61no—
1597C2×C4—61no—
1598C2×C4—61no—
1599C2×C4—61no—
1600C2×C4—61no—
1601C2×C4—61no—
1602C2×C4—61no—
1603C2×C4—61no—
1604C2×C4—61no—
1605C2×C4—61no—
1606C2×C4—61no—
1607C2×C4—61no—
1608C2×C4—61no—
1609C2×C4—61no—
1610C2×C4—82no—
1611C2×C4—124no—
1612C2×C4—124no—
1613C2×C4—124no—
1614C2×C4—242no—
1615C2×C4—242no—
1616C2×C4—242no—
1617C2×C4—242no—
1618C2×C4C2×D3×D412yes—
1619C2×C4C2×D3×D412yes—
1620C2×C4C2×D3×D412yes—
1621C2×C4C2×#23712yes—
1622C2×C4C2×#23712yes—
1623C2×C3—42no—
1624C2×C3—42no—
1625C2×C3—81no—
1626C2×C3—81no—
1627C2×C3—81no—
1628C2×C3#345511yescharacteristic
1629C2×C3D4×#4111yescharacteristic
1630C2×C3#348811yescharacteristic
1631C2×C3#348811yescharacteristic
1632C2×C3#351911yescharacteristic
1633C2×C3#354511yescharacteristic
1634C2×C3#356211yescharacteristic
1635D3—42no—
1636D3—81no—
1637C22—22no—
1638C22—22no—
1639C22—22no—
1640C22—22no—
1641C22—22no—
1642C22—22no—
1643C22—41no—
1644C22—41no—
1645C22—41no—
1646C22—41no—
1647C22—41no—
1648C22—41no—
1649C22—41no—
1650C22—41no—
1651C22—41no—
1652C22—41no—
1653C22—41no—
1654C22—41no—
1655C22—41no—
1656C22—41no—
1657C22—41no—
1658C22—41no—
1659C22—41no—
1660C22—41no—
1661C22—41no—
1662C22—41no—
1663C22—41no—
1664C22—41no—
1665C22—41no—
1666C22—41no—
1667C22—41no—
1668C22—41no—
1669C22—41no—
1670C22—41no—
1671C22—41no—
1672C22—62no—
1673C22—62no—
1674C22—62no—
1675C22—121no—
1676C22—121no—
1677C22—121no—
1678C22—121no—
1679C22—121no—
1680C22—121no—
1681C22—121no—
1682C22—121no—
1683C22—121no—
1684C22—121no—
1685C22—121no—
1686C22—248no—
1687C22C22×D3×D411yescharacteristic
1688C22C22×#23711yescharacteristic
1689C22C2×#100411yescharacteristic
1690C22#596411yescharacteristic
1691C22#596411yescharacteristic
1692C22D3×H(5,𝔽2)11yescharacteristic
1693C22#596611yescharacteristic
1694C4—22no—
1695C4—22no—
1696C4—22no—
1697C4—22no—
1698C4—22no—
1699C4—41no—
1700C4—41no—
1701C4—41no—
1702C4—41no—
1703C4—41no—
1704C4—62no—
1705C4—62no—
1706C4—62no—
1707C4—62no—
1708C4—121no—
1709C4—121no—
1710C4—121no—
1711C4—121no—
1712C4—121no—
1713C4—121no—
1714C4—121no—
1715C4—121no—
1716C4—121no—
1717C4—121no—
1718C3#3773711yescharacteristic, complemented, Sylow
1719C2—42no—
1720C2—42no—
1721C2—81no—
1722C2—81no—
1723C2—81no—
1724C2—122no—
1725C2—241no—
1726C2#8594911yescharacteristic
1727C2#8623611yescharacteristic
1728C2#8648111yescharacteristic
1729C2D4×#23711yescharacteristic
1730C2#8661111yescharacteristic
1731C2#8665211yescharacteristic
1732C2#8676911yescharacteristic
subgroupG/H
center, FrattiniC23C24×D3
commutator, socle, cosocleC23×C3C25
FittingC3×#2428C2
hypercenter#2428D3
hypocenterC3#37737
LCSG ▷ C23×C3 ▷ C3
UCSC1 ◁ C23 ◁ #2428

Complements

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

NH ≅ G/Ntype
1. C2×#5617C2semidirect
2. C2×#5538C2semidirect
3. C3×#2428C2semidirect
4. #83186C2semidirect
5. #83182C2semidirect
6. #82707C2semidirect
7. #82707C2semidirect
8. #82706C2semidirect
9. #82695C2semidirect
10. #82685C2semidirect
11. #82637C2semidirect
12. Dic3×#121C2semidirect
13. #82370C2semidirect
14. #77001C2semidirect
15. #77001C2semidirect
16. #76996C2semidirect
17. #76915C2semidirect
18. #76772C2semidirect
19. #76767C2semidirect
20. #76704C2semidirect
21. #76681C2semidirect
22. #76331C2semidirect
23. #76312C2semidirect
24. #76123C2semidirect
25. #75975C2semidirect
26. #74869C2semidirect
27. #74725C2semidirect
28. #74716C2semidirect
29. #74715C2semidirect
30. #73574C2semidirect
31. #73498C2semidirect
33. C2×C3×#127C22semidirect
38. C2×C3×C4×D4C22semidirect
49. C2×#935C22semidirect
53. C2×D4×Dic3C22semidirect
57. C2×#926C22semidirect
59. C22×C4×Dic3C22semidirect
64. C2×#889C22semidirect
73. C2×#879C22semidirect
74. C2×#878C22semidirect
75. C2×#878C22semidirect
76. C2×#878C22semidirect
78. C2×C4×Dic6C22semidirect
79. C3×#394C22semidirect
80. C3×#394C22semidirect
83. C3×#390C22semidirect
84. C3×#389C22semidirect
85. C3×#386C22semidirect
86. C3×#386C22semidirect
98. #5222C22semidirect
99. #5222C22semidirect
100. #5222C22semidirect
101. #5222C22semidirect
105. #5221C22semidirect
108. #5220C22semidirect
109. #5220C22semidirect
110. #5220C22semidirect
111. #5220C22semidirect
112. #5220C22semidirect
115. #5212C22semidirect
118. C4×#217C22semidirect
125. #4984C22semidirect
126. #4984C22semidirect
127. #4981C22semidirect
128. #4980C22semidirect
129. #4976C22semidirect
130. Dic3×C4⋊C4C22semidirect
131. Dic3×C4⋊C4C22semidirect
148. #4951C22semidirect
149. #4951C22semidirect
150. #4951C22semidirect
151. #4949C22semidirect
152. #4949C22semidirect
154. #4948C22semidirect
155. #4948C22semidirect
156. #4948C22semidirect
158. #4947C22semidirect
160. #4946C22semidirect
161. #4945C22semidirect
162. #4944C22semidirect
163. #4944C22semidirect
164. #4944C22semidirect
166. Dic3×C22⋊C4C22semidirect
167. Dic3×C22⋊C4C22semidirect
171. #4933C22semidirect
172. #4933C22semidirect
173. #4928C22semidirect
182. #4659C22semidirect
183. #4656C22semidirect
184. #4656C22semidirect
185. #4655C22semidirect
186. #4653C22semidirect
187. #4653C22semidirect
188. #4650C22semidirect
189. #4646C22semidirect
212. #2428D3semidirect
376. #898D4semidirect
421. C2×#127C2×D3semidirect
460. C2×C4×D4C2×D3semidirect
494. #394C2×D3semidirect
495. #394C2×D3semidirect
515. #390C2×D3semidirect
520. #389C2×D3semidirect
556. #386C2×D3semidirect
557. #386C2×D3semidirect
1718. C3#37737semidirect

Maximal subgroups

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

subgroupindex
C2×#56172
C2×#55382
C3×#24282
#831862
#831822
#827072
#827062
#826952
#826852
#826372
Dic3×#1212
#823702
#770012
#769962
#769152
#767722
#767672
#767042
#766812
#763312
#763122
#761232
#759752
#748692
#747252
#747162
#747152
#735742
#734982
#377373