Finite Group Databasebeta

← #11098242

Subgroups — #11098242

Order 768.

2432 conjugacy classes of subgroups.

The subgroup lattice has 1750 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#5614C211yesmaximal, characteristic, complemented
2C2×#5613C211yesmaximal, characteristic, complemented
3C3×#2675C211yesmaximal, characteristic, complemented
4#82707C211yesmaximal, characteristic, complemented
5#82707C211yesmaximal, characteristic, complemented
6#82690C211yesmaximal, characteristic, complemented
7#82686C211yesmaximal, characteristic, complemented
8#82684C211yesmaximal, characteristic, complemented
9#82677C211yesmaximal, characteristic, complemented
10#82675C211yesmaximal, characteristic, complemented
11#82642C211yesmaximal, characteristic, complemented
12#82641C211yesmaximal, characteristic, complemented
13#82641C211yesmaximal, characteristic, complemented
14#77450C211yesmaximal, characteristic, complemented
15#77420C211yesmaximal, characteristic, complemented
16D3×#396C211yesmaximal, characteristic, complemented
17#77367C211yesmaximal, characteristic, complemented
18#76761C211yesmaximal, characteristic, complemented
19#76759C211yesmaximal, characteristic, complemented
20#76756C211yesmaximal, characteristic, complemented
21#76756C211yesmaximal, characteristic, complemented
22#76741C211yesmaximal, characteristic, complemented
23#76724C211yesmaximal, characteristic, complemented
24#76709C211yesmaximal, characteristic, complemented
25#76699C211yesmaximal, characteristic, complemented
26#74616C211yesmaximal, characteristic, complemented
27#74609C211yesmaximal, characteristic, complemented
28#74531C211yesmaximal, characteristic, complemented
29#74525C211yesmaximal, characteristic, complemented
30#74498C211yesmaximal, characteristic, complemented
31#74393C211yesmaximal, characteristic, complemented
32#40515—31nomaximal, Sylow
33C2×C3×#121C2211yescharacteristic
34C2×C3×#121C2211yescharacteristic
35C2×C3×#121C2211yescharacteristic
36C2×C3×#121C2211yescharacteristic, complemented
37C2×C3×#121C2211yescharacteristic, complemented
38C2×C3×#121C2211yescharacteristic, complemented
39C2×#939C2211yescharacteristic
40C2×#939C2211yescharacteristic
41C2×#939C2211yescharacteristic
42C2×#938C2211yescharacteristic
43C2×#938C2211yescharacteristic
44C2×#938C2211yescharacteristic
45C2×#938C2211yescharacteristic
46C2×#938C2211yescharacteristic
47C2×#938C2211yescharacteristic
48C2×#937C2211yescharacteristic
49C2×#937C2211yescharacteristic
50C2×#937C2211yescharacteristic
51C2×#937C2211yescharacteristic
52C2×#936C2211yescharacteristic
53C2×#935C2211yescharacteristic
54C2×#935C2211yescharacteristic, complemented
55C2×#935C2211yescharacteristic, complemented
56C2×D4×Dic3C2211yescharacteristic, complemented
57C2×#929C2211yescharacteristic
58C2×C4×#67C2211yescharacteristic
59C2×C4×#67C2211yescharacteristic
60C2×C4×#67C2211yescharacteristic
61C2×#926C2211yescharacteristic, complemented
62C2×#924C2211yescharacteristic, complemented
63C22×Dic3⋊C4C2211yescharacteristic, complemented
64#5614—28no—
65#5613—28no—
66C2×#898C2211yescharacteristic
67C2×#896C2211yescharacteristic
68C2×D3×C4⋊C4C2211yescharacteristic
69C2×D3×C4⋊C4C2211yescharacteristic
70C2×D3×C4⋊C4C2211yescharacteristic
71C2×#890C2211yescharacteristic, complemented
72C2×#885C2211yescharacteristic
73C2×#67⋊C4C2211yescharacteristic
74C2×#67⋊C4C2211yescharacteristic
75C2×#67⋊C4C2211yescharacteristic
76C2×D3×C22⋊C4C2211yescharacteristic
77C2×D3×C22⋊C4C2211yescharacteristic
78C2×D3×C22⋊C4C2211yescharacteristic
79C2×#879C2211yescharacteristic
80C2×#879C2211yescharacteristic, complemented
81C2×#879C2211yescharacteristic, complemented
82C3×#396C2211yescharacteristic
83C3×#396C2211yescharacteristic, complemented
84C3×#392C2211yescharacteristic
85C3×#392C2211yescharacteristic
86C3×#392C2211yescharacteristic
87C3×#392C2211yescharacteristic, complemented
88C3×#385C2211yescharacteristic, complemented
89C3×#385C2211yescharacteristic, complemented
90C3×#385C2211yescharacteristic, complemented
91#5223C2211yescharacteristic
92#5223C2211yescharacteristic
93#5223C2211yescharacteristic
94#5222C2211yescharacteristic
95#5222C2211yescharacteristic
96#5222C2211yescharacteristic
97#5222C2211yescharacteristic
98#5222C2211yescharacteristic
99#5222C2211yescharacteristic
100#5222C2211yescharacteristic, complemented
101#5222C2211yescharacteristic, complemented
102#5222C2211yescharacteristic, complemented
103#5222C2211yescharacteristic, complemented
104#5222C2211yescharacteristic, complemented
105#5221C2211yescharacteristic
106#5221C2211yescharacteristic
107#5221C2211yescharacteristic, complemented
108#5221C2211yescharacteristic, complemented
109#5220C2211yescharacteristic
110#5220C2211yescharacteristic
111#5220C2211yescharacteristic, complemented
112#5220C2211yescharacteristic, complemented
113#5213C2211yescharacteristic
114#5213C2211yescharacteristic
115#5212C2211yescharacteristic, complemented
116#5212C2211yescharacteristic, complemented
117#5210C2211yescharacteristic, complemented
118#4994C2211yescharacteristic
119#4994C2211yescharacteristic
120#4994C2211yescharacteristic
121#4994C2211yescharacteristic
122#4994C2211yescharacteristic
123#4989C2211yescharacteristic
124#4989C2211yescharacteristic
125#4984C2211yescharacteristic, complemented
126#4984C2211yescharacteristic, complemented
127#4983C2211yescharacteristic, complemented
128#4983C2211yescharacteristic, complemented
129#4982C2211yescharacteristic, complemented
130#4978C2211yescharacteristic, complemented
131#4978C2211yescharacteristic, complemented
132#4976C2211yescharacteristic, complemented
133#4976C2211yescharacteristic, complemented
134#4975C2211yescharacteristic, complemented
135#4973C2211yescharacteristic, complemented
136#4961C2211yescharacteristic
137#4961C2211yescharacteristic
138#4959C2211yescharacteristic
139#4959C2211yescharacteristic
140#4959C2211yescharacteristic
141#4959C2211yescharacteristic
142#4957C2211yescharacteristic
143#4957C2211yescharacteristic
144#4956C2211yescharacteristic
145#4956C2211yescharacteristic
146#4956C2211yescharacteristic
147#4956C2211yescharacteristic
148#4956C2211yescharacteristic
149#4956C2211yescharacteristic
150#4953C2211yescharacteristic
151#4953C2211yescharacteristic, complemented
152#4951C2211yescharacteristic
153#4951C2211yescharacteristic
154#4951C2211yescharacteristic, complemented
155#4951C2211yescharacteristic, complemented
156#4950C2211yescharacteristic, complemented
157#4949C2211yescharacteristic, complemented
158#4948C2211yescharacteristic
159#4948C2211yescharacteristic
160#4948C2211yescharacteristic
161#4948C2211yescharacteristic
162#4948C2211yescharacteristic
163#4948C2211yescharacteristic, complemented
164#4948C2211yescharacteristic, complemented
165#4948C2211yescharacteristic, complemented
166#4948C2211yescharacteristic, complemented
167#4948C2211yescharacteristic, complemented
168#4948C2211yescharacteristic, complemented
169#4948C2211yescharacteristic, complemented
170#4947C2211yescharacteristic, complemented
171#4946C2211yescharacteristic, complemented
172#4942C2211yescharacteristic, complemented
173#4942C2211yescharacteristic, complemented
174#4676C2211yescharacteristic
175#4674C2211yescharacteristic
176#4670C2211yescharacteristic
177#4670C2211yescharacteristic
178#4668C2211yescharacteristic
179#4668C2211yescharacteristic
180#4667C2211yescharacteristic
181D3×#95C2211yescharacteristic
182#4661C2211yescharacteristic, complemented
183#4658C2211yescharacteristic, complemented
184#4657C2211yescharacteristic, complemented
185#4656C2211yescharacteristic, complemented
186#4653C2211yescharacteristic, complemented
187#4652C2211yescharacteristic, complemented
188#4649C2211yescharacteristic, complemented
189#4647C2211yescharacteristic, complemented
190C2×#553—31no—
191C2×#538—31no—
192#2823—31no—
193#2813—31no—
194#2725—31no—
195#2715—31no—
196#2707—31no—
197#2705—31no—
198#2691—31no—
199#2682—31no—
200#2676—31no—
201#2675D311yescharacteristic, complemented
202#2662—31no—
203#2630—31no—
204#2620—31no—
205#2618—31no—
206#2617—31no—
207#2601—31no—
208#2579—31no—
209#2543—31no—
210#2450—31no—
211#2449—31no—
212#2424—31no—
213#2424—31no—
214#2424—31no—
215#2424—31no—
216#2416—31no—
217#2416—31no—
218#2416—31no—
219C2×#396—31no—
220D4×C4⋊C4—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
246C22×C4×D3C2311yescharacteristic
247C22×C4×D3C2311yescharacteristic
248C22×C4×D3C2311yescharacteristic
249C22×C4×D3C2311yescharacteristic
250C22×C4×D3C2311yescharacteristic
251C22×C4×D3C2311yescharacteristic
252C22×Dic6C2311yescharacteristic
253C3×#121—24no—
254C3×#121—24no—
255C3×#121—42no—
256C3×#121—42no—
257C3×#121—42no—
258C3×#121—42no—
259C2×C3×C4⋊C4C2311yescharacteristic
260C2×C3×C4⋊C4C2311yescharacteristic
261C2×C3×C4⋊C4C2311yescharacteristic
262C2×C3×C4⋊C4C2311yescharacteristic
263C2×C3×C4⋊C4C2311yescharacteristic
264C2×C3×C4⋊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×C22⋊C4C2311yescharacteristic
275C2×C3×C22⋊C4C2311yescharacteristic
276C2×C3×C22⋊C4C2311yescharacteristic
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
302C2×#217C2311yescharacteristic
303C2×#217C2311yescharacteristic
304C2×#217C2311yescharacteristic
305#939—24no—
306#939—42no—
307#939—42no—
308#938—24no—
309#938—24no—
310#938—24no—
311#938—24no—
312#938—42no—
313#938—42no—
314#937—24no—
315#937—24no—
316#937—42no—
317#937—42no—
318#936—24no—
319#935—24no—
320#935—24no—
321#935—24no—
322D4×Dic3—24no—
323#929—24no—
324C4×#67—24no—
325C4×#67—24no—
326C4×#67—42no—
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
338C2×(C2×D3)⋊C4C2311yescharacteristic
339C2×(C2×D3)⋊C4C2311yescharacteristic
340C2×(C2×D3)⋊C4C2311yescharacteristic
341#926—24no—
342C2×C4⋊Dic3C2311yescharacteristic
343C2×C4⋊Dic3C2311yescharacteristic
344C2×C4⋊Dic3C2311yescharacteristic
345C2×C4⋊Dic3C2311yescharacteristic
346C2×C4⋊Dic3C2311yescharacteristic
347C2×C4⋊Dic3C2311yescharacteristic
348C2×C4⋊Dic3C2311yescharacteristic
349C2×C4⋊Dic3C2311yescharacteristic
350C2×C4⋊Dic3C2311yescharacteristic
351C2×C4⋊Dic3C2311yescharacteristic
352C2×C4⋊Dic3C2311yescharacteristic
353#924—42no—
354C2×Dic3⋊C4—42no—
355C2×Dic3⋊C4C2311yescharacteristic
356C2×Dic3⋊C4C2311yescharacteristic
357C2×Dic3⋊C4C2311yescharacteristic
358C2×Dic3⋊C4C2311yescharacteristic
359C2×Dic3⋊C4C2311yescharacteristic
360C2×Dic3⋊C4C2311yescharacteristic
361C2×Dic3⋊C4C2311yescharacteristic
362C2×Dic3⋊C4C2311yescharacteristic
363C2×Dic3⋊C4C2311yescharacteristic
364C2×Dic3⋊C4C2311yescharacteristic
365C2×Dic3⋊C4C2311yescharacteristic
366C2×Dic3⋊C4C2311yescharacteristic
367C2×Dic3⋊C4C2311yescharacteristic
368C2×Dic3⋊C4C2311yescharacteristic
369C2×Dic3⋊C4C2311yescharacteristic
370C2×Dic3⋊C4C2311yescharacteristic
371C2×Dic3⋊C4C2311yescharacteristic
372C2×Dic3⋊C4C2311yescharacteristic
373C2×Dic3⋊C4C2311yescharacteristic
374C2×Dic3⋊C4C2311yescharacteristic
375C2×C4×Dic3C2311yescharacteristic
376C2×C4×Dic3C2311yescharacteristic
377C2×C4×Dic3C2311yescharacteristic
378C2×C4×Dic3C2311yescharacteristic
379C2×C4×Dic3C2311yescharacteristic
380C2×C4×Dic3C2311yescharacteristic
381#898—24no—
382#896—24no—
383D3×C4⋊C4—24no—
384D3×C4⋊C4—42no—
385D3×C4⋊C4—42no—
386#890—24no—
387#885—24no—
388#67⋊C4—24no—
389#67⋊C4—42no—
390#67⋊C4D418yescomplemented
391D3×C22⋊C4—24no—
392D3×C22⋊C4—42no—
393D3×C22⋊C4—42no—
394#879—24no—
395#879—24no—
396#879—24no—
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
420C3⋊#95C2311yescharacteristic
421C3⋊#95C2311yescharacteristic
422C3⋊#95C2311yescharacteristic
423#553—68no—
424#538—68no—
425C2×#126—31no—
426C2×#126—31no—
427C2×#126—31no—
428C2×#126—31no—
429C2×#125—31no—
430C2×#124—31no—
431C2×#124—31no—
432C2×#123—31no—
433C2×#123—31no—
434C2×#123—31no—
435C2×#123—31no—
436C2×C22⋊Q8—31no—
437C2×C22⋊Q8—31no—
438C2×#121—31no—
439C2×#121—31no—
440C2×#121—31no—
441C2×#121—31no—
442C2×#121—31no—
443C2×#121—31no—
444C2×#121—31no—
445C2×#121—31no—
446C2×#121—31no—
447C2×#121C2×D311yescharacteristic
448C2×#121C2×D311yescharacteristic
449C2×#121C2×D311yescharacteristic
450C2×#121C2×D311yescharacteristic, complemented
451C2×#121C2×D311yescharacteristic, complemented
452C2×#121C2×D311yescharacteristic, complemented
453C2×#120—31no—
454C2×#120—31no—
455C2×#120—31no—
456C2×#120—31no—
457C2×C4×D4—31no—
458C2×C4×D4—31no—
459C2×C4×D4—31no—
460C2×C4×D4—31no—
461C2×C4×D4—31no—
462C2×C4×D4—31no—
463C2×C4×D4—31no—
464C2×#117—31no—
465C22×C4⋊C4—31no—
466C22×C4⋊C4—31no—
467C22×C4⋊C4—31no—
468C22×C4⋊C4—31no—
469C22×C22⋊C4—31no—
470C22×C22⋊C4—31no—
471C22×C22⋊C4—31no—
472#400—31no—
473#399—31no—
474#398—31no—
475#398—31no—
476#398—31no—
477#398—31no—
478#398—31no—
479#397—31no—
480#397—31no—
481#397—31no—
482#396—31no—
483#396—31no—
484#396—31no—
485#396—31no—
486#396—31no—
487#396—31no—
488#396—31no—
489#396—31no—
490#396—31no—
491#396—31no—
492#396—31no—
493#396—31no—
494#396—31no—
495#396—31no—
496#396—31no—
497#396—31no—
498#396—31no—
499#396—31no—
500#396C2×D311yescharacteristic
501#396C2×D311yescharacteristic, complemented
502#395—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#394—31no—
517#394—31no—
518#394—31no—
519#394—31no—
520#393—31no—
521#392—31no—
522#392—31no—
523#392—31no—
524#392C2×D311yescharacteristic
525#392C2×D311yescharacteristic
526#392C2×D311yescharacteristic
527#392C2×D311yescharacteristic, complemented
528#391—31no—
529#390—31no—
530#390—31no—
531#390—31no—
532#390—31no—
533#390—31no—
534#390—31no—
535#389—31no—
536#389—31no—
537#389—31no—
538#389—31no—
539#389—31no—
540#388—31no—
541#388—31no—
542#388—31no—
543#388—31no—
544#388—31no—
545#388—31no—
546#387—31no—
547#387—31no—
548#387—31no—
549#387—31no—
550#386—31no—
551#386—31no—
552#386—31no—
553#386—31no—
554#386—31no—
555#386—31no—
556#386—31no—
557#386—31no—
558#386—31no—
559#386—31no—
560#386—31no—
561#386—31no—
562#385—31no—
563#385—31no—
564#385—31no—
565#385—31no—
566#385—31no—
567#385—31no—
568#385—31no—
569#385C2×D311yescharacteristic, complemented
570#385C2×D311yescharacteristic, complemented
571#385C2×D311yescharacteristic, complemented
572#384—31no—
573#380—31no—
574#380—31no—
575#380—31no—
576#380—31no—
577#380—31no—
578C4×C4⋊C4—31no—
579C2×#95—31no—
580C24×C3C2411yescharacteristic
581C24×C3C2411yescharacteristic
582C24×C3C2411yescharacteristic
583C24×C3C2411yescharacteristic
584C24×C3C2411yescharacteristic
585C23×D3—22no—
586C23×D3—22no—
587C23×D3—22no—
588C23×D3—41no—
589C23×D3—41no—
590C23×D3—41no—
591C23×D3—41no—
592C23×D3C2411yescharacteristic
593C23×D3C2411yescharacteristic
594C2×C3×D4—22no—
595C2×C3×D4—22no—
596C2×C3×D4—22no—
597C2×C3×D4—22no—
598C2×C3×D4—22no—
599C2×C3×D4—22no—
600C2×C3×D4—22no—
601C2×C3×D4—22no—
602C2×C3×D4—41no—
603C2×C3×D4—41no—
604C2×C3×D4—41no—
605C2×C3×D4—41no—
606C2×C3×D4—41no—
607C2×C3×D4—41no—
608C2×C3×D4—41no—
609C2×C3×D4—41no—
610C2×C3×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—
621C2×C3×D4—41no—
622C2×C3×D4—41no—
623C2×C3×D4—41no—
624C22×C3×C4—22no—
625C22×C3×C4—22no—
626C22×C3×C4—22no—
627C22×C3×C4—22no—
628C22×C3×C4—41no—
629C22×C3×C4—41no—
630C22×C3×C4—41no—
631C22×C3×C4—41no—
632C22×C3×C4—41no—
633C22×C3×C4C2411yescharacteristic
634C22×C3×C4C2411yescharacteristic
635C22×C3×C4C2411yescharacteristic
636C22×C3×C4C2411yescharacteristic
637C22×C3×C4C2411yescharacteristic
638C22×C3×C4C2411yescharacteristic
639C22×C3×C4C2411yescharacteristic
640C22×C3×C4C2411yescharacteristic
641C22×C3×C4C2411yescharacteristic
642C22×C3×C4C2411yescharacteristic
643C2×#67—22no—
644C2×#67—22no—
645C2×#67—22no—
646C2×#67—22no—
647C2×#67—22no—
648C2×#67—22no—
649C2×#67—22no—
650C2×#67—22no—
651C2×#67—22no—
652C2×#67—22no—
653C2×#67—22no—
654C2×#67—22no—
655C2×#67—22no—
656C2×#67—41no—
657C2×#67—41no—
658C2×#67—41no—
659C2×#67—41no—
660C2×#67—41no—
661C2×#67—41no—
662C2×#67—41no—
663C2×#67—41no—
664C2×#67—41no—
665C2×#67—41no—
666C2×#67C2×D414yes—
667C22×Dic3—22no—
668C22×Dic3—41no—
669C22×Dic3—41no—
670C22×Dic3—41no—
671C22×Dic3—41no—
672C22×Dic3—41no—
673C22×Dic3—41no—
674C22×Dic3—41no—
675C22×Dic3C2×D414yes—
676C22×Dic3C2411yescharacteristic
677C22×Dic3C2411yescharacteristic
678C22×Dic3C2411yescharacteristic
679C22×Dic3C2411yescharacteristic
680C22×Dic3C2411yescharacteristic
681C22×Dic3C2411yescharacteristic
682C22×Dic3C2411yescharacteristic
683C22×Dic3C2411yescharacteristic
684C22×Dic3C2411yescharacteristic
685C22×Dic3C2411yescharacteristic
686C22×Dic3C2411yescharacteristic
687C22×Dic3C2411yescharacteristic
688C22×Dic3C2411yescharacteristic
689C22×Dic3C2411yescharacteristic
690C2×C4×D3—22no—
691C2×C4×D3—22no—
692C2×C4×D3—22no—
693C2×C4×D3—22no—
694C2×C4×D3—22no—
695C2×C4×D3—22no—
696C2×C4×D3—22no—
697C2×C4×D3—41no—
698C2×C4×D3—41no—
699C2×C4×D3—41no—
700C2×C4×D3—41no—
701C2×C4×D3—41no—
702C2×C4×D3—41no—
703C2×C4×D3—41no—
704C2×C4×D3—41no—
705C2×C4×D3—41no—
706C2×C4×D3—41no—
707C2×C4×D3C2×D414yes—
708C2×Dic6—22no—
709C2×Dic6—41no—
710C2×Dic6—41no—
711C3×C4⋊C4—22no—
712C3×C4⋊C4—22no—
713C3×C4⋊C4—22no—
714C3×C4⋊C4—22no—
715C3×C4⋊C4—41no—
716C3×C4⋊C4—41no—
717C3×C22⋊C4—22no—
718C3×C22⋊C4—22no—
719C3×C22⋊C4—22no—
720C3×C22⋊C4—22no—
721C3×C22⋊C4—22no—
722C3×C22⋊C4—22no—
723C3×C22⋊C4—41no—
724C3×C22⋊C4—41no—
725C3×C22⋊C4—41no—
726C3×C22⋊C4—41no—
727C3×C22⋊C4—41no—
728C3×C22⋊C4C2×D414yes—
729#217—22no—
730#217—22no—
731#217—22no—
732#217—22no—
733#217—22no—
734#217—22no—
735#217—22no—
736#217—22no—
737#217—22no—
738#217—22no—
739#217—22no—
740#217—22no—
741#217—22no—
742#217—41no—
743#217—41no—
744#217—41no—
745#217—41no—
746#217—41no—
747#217—41no—
748#217—41no—
749#217—41no—
750#217—41no—
751#217—41no—
752#217—41no—
753#217—41no—
754#217—41no—
755#217—41no—
756#217—41no—
757(C2×D3)⋊C4—22no—
758(C2×D3)⋊C4—22no—
759(C2×D3)⋊C4—22no—
760(C2×D3)⋊C4—22no—
761(C2×D3)⋊C4—22no—
762(C2×D3)⋊C4—22no—
763(C2×D3)⋊C4—22no—
764(C2×D3)⋊C4—22no—
765(C2×D3)⋊C4—22no—
766(C2×D3)⋊C4—41no—
767(C2×D3)⋊C4—41no—
768(C2×D3)⋊C4—41no—
769(C2×D3)⋊C4—41no—
770(C2×D3)⋊C4C2×D414yes—
771C4⋊Dic3—22no—
772C4⋊Dic3—22no—
773C4⋊Dic3—22no—
774C4⋊Dic3—22no—
775C4⋊Dic3—22no—
776C4⋊Dic3—41no—
777C4⋊Dic3—41no—
778C4⋊Dic3—41no—
779C4⋊Dic3—41no—
780C4⋊Dic3—41no—
781C4⋊Dic3—41no—
782Dic3⋊C4—22no—
783Dic3⋊C4—22no—
784Dic3⋊C4—22no—
785Dic3⋊C4—22no—
786Dic3⋊C4—22no—
787Dic3⋊C4—22no—
788Dic3⋊C4—22no—
789Dic3⋊C4—22no—
790Dic3⋊C4—22no—
791Dic3⋊C4—22no—
792Dic3⋊C4—22no—
793Dic3⋊C4—41no—
794Dic3⋊C4—41no—
795Dic3⋊C4—41no—
796Dic3⋊C4—41no—
797Dic3⋊C4—41no—
798Dic3⋊C4—41no—
799Dic3⋊C4—41no—
800Dic3⋊C4—41no—
801Dic3⋊C4C2×D414yes—
802C4×Dic3—22no—
803C4×Dic3—22no—
804C4×Dic3—22no—
805C4×Dic3—41no—
806C4×Dic3—41no—
807C4×Dic3C2×D414yes—
808C25—31no—
809C22×Q8—31no—
810C22×D4—31no—
811C22×D4—31no—
812C22×D4—31no—
813C22×D4—31no—
814C22×D4—31no—
815C22×D4—31no—
816C22×D4—31no—
817C22×D4—31no—
818C22×D4C22×D311yescharacteristic
819C22×D4C22×D311yescharacteristic
820C22×D4C22×D311yescharacteristic
821C22×D4C22×D311yescharacteristic
822C22×D4C22×D311yescharacteristic
823C22×D4C22×D311yescharacteristic
824C22×D4C22×D311yescharacteristic
825C22×D4C22×D311yescharacteristic
826C22×D4C22×D311yescharacteristic
827C22×D4C22×D311yescharacteristic
828C23×C4—31no—
829C23×C4—31no—
830C23×C4—31no—
831C23×C4—31no—
832C23×C4—31no—
833C23×C4—31no—
834C23×C4—31no—
835C23×C4—31no—
836C23×C4—31no—
837C23×C4C22×D311yescharacteristic
838C23×C4C22×D311yescharacteristic
839C23×C4C22×D311yescharacteristic
840#126—64no—
841#126—64no—
842#126—64no—
843#126—64no—
844#125—64no—
845#124—64no—
846#124—64no—
847#123—64no—
848#123—64no—
849#123—64no—
850#123—64no—
851C22⋊Q8—64no—
852C22⋊Q8—122no—
853#121—24no—
854#121—24no—
855#121—42no—
856#121—42no—
857#121—42no—
858#121—42no—
859#121—64no—
860#121—64no—
861#121—64no—
862#121—64no—
863#121—64no—
864#121—122no—
865#121—122no—
866#121—122no—
867#121—122no—
868#120—64no—
869#120—64no—
870#120—122no—
871#120—122no—
872C4×D4—38no—
873C4×D4—64no—
874C4×D4—64no—
875C4×D4—64no—
876C4×D4—64no—
877C4×D4—122no—
878C4×D4—122no—
879#117—64no—
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⋊C4—31no—
898C2×C4⋊C4—31no—
899C2×C4⋊C4—31no—
900C2×C4⋊C4—31no—
901C2×C4⋊C4—31no—
902C2×C4⋊C4—31no—
903C2×C4⋊C4—31no—
904C2×C4⋊C4—31no—
905C2×C4⋊C4—31no—
906C2×C4⋊C4—31no—
907C2×C4⋊C4—31no—
908C2×C4⋊C4—31no—
909C2×C4⋊C4—31no—
910C2×C4⋊C4—31no—
911C2×C4⋊C4—64no—
912C2×C4⋊C4—122no—
913C2×C4⋊C4—122no—
914C2×C4⋊C4—122no—
915C2×C4⋊C4C22×D311yescharacteristic
916C2×C4⋊C4C22×D311yescharacteristic
917C2×C4⋊C4C22×D311yescharacteristic
918C2×C4⋊C4C22×D311yescharacteristic
919C2×C4⋊C4C22×D311yescharacteristic
920C2×C4⋊C4C22×D311yescharacteristic
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—31no—
946C2×C22⋊C4—31no—
947C2×C22⋊C4—31no—
948C2×C22⋊C4—31no—
949C2×C22⋊C4—31no—
950C2×C22⋊C4—31no—
951C2×C22⋊C4—31no—
952C2×C22⋊C4—31no—
953C2×C22⋊C4—31no—
954C2×C22⋊C4—31no—
955C2×C22⋊C4—31no—
956C2×C22⋊C4—31no—
957C2×C22⋊C4—31no—
958C2×C22⋊C4—31no—
959C2×C22⋊C4—31no—
960C2×C22⋊C4—31no—
961C2×C22⋊C4—31no—
962C2×C22⋊C4—31no—
963C2×C22⋊C4—64no—
964C2×C22⋊C4—122no—
965C2×C22⋊C4—122no—
966C2×C22⋊C4C22×D311yescharacteristic
967C2×C22⋊C4C22×D311yescharacteristic
968C2×C22⋊C4C22×D311yescharacteristic
969C2×C22⋊C4C22×D311yescharacteristic
970C2×C22⋊C4C22×D311yescharacteristic
971C2×C22⋊C4C22×D311yescharacteristic
972C2×C22⋊C4C22×D311yescharacteristic
973C2×C22⋊C4C22×D311yescharacteristic
974C2×C22⋊C4C22×D311yescharacteristic
975C2×C22⋊C4C22×D311yescharacteristic
976C2×C22⋊C4C22×D311yescharacteristic
977C2×C22⋊C4C22×D311yescharacteristic
978C2×C42—31no—
979C2×C42—31no—
980C2×C42—31no—
981C2×C42—31no—
982C2×C42—31no—
983C2×C42—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#95—31no—
997#95—31no—
998#95—31no—
999#95—31no—
1000#95—31no—
1001#95—31no—
1002#95—31no—
1003#95—31no—
1004#95—31no—
1005#95—31no—
1006#95C22×D311yescharacteristic
1007#95C22×D311yescharacteristic
1008#95C22×D311yescharacteristic
1009#95C22×D311yescharacteristic
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×C3—21no—
1034C23×C3—21no—
1035C23×C3—21no—
1036C23×C3—21no—
1037C23×C3—21no—
1038C23×C3—21no—
1039C23×C3—21no—
1040C23×C3—21no—
1041C23×C3—21no—
1042C23×C3—21no—
1043C23×C3—21no—
1044C23×C3C22×D412yes—
1045C23×C3C2511yescharacteristic
1046C22×D3—21no—
1047C22×D3—21no—
1048C22×D3—21no—
1049C22×D3—21no—
1050C22×D3—21no—
1051C22×D3—21no—
1052C22×D3—21no—
1053C22×D3—21no—
1054C22×D3—21no—
1055C22×D3—21no—
1056C22×D3—21no—
1057C22×D3—44no—
1058C22×D3—44no—
1059C22×D3—44no—
1060C22×D3—82no—
1061C22×D3—82no—
1062C22×D3—82no—
1063C22×D3—82no—
1064C22×D3C22×D412yes—
1065C22×D3H(5,𝔽2)12yes—
1066C22×D32−1+412yes—
1067C3×D4—44no—
1068C3×D4—82no—
1069C3×D4—82no—
1070C3×D4—82no—
1071C3×D4—82no—
1072C3×D4—82no—
1073C3×D4—82no—
1074C3×D4—82no—
1075C3×D4—82no—
1076C3×D4—82no—
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—21no—
1093C2×C3×C4—21no—
1094C2×C3×C4—21no—
1095C2×C3×C4—21no—
1096C2×C3×C4—21no—
1097C2×C3×C4—21no—
1098C2×C3×C4—21no—
1099C2×C3×C4—21no—
1100C2×C3×C4—21no—
1101C2×C3×C4—21no—
1102C2×C3×C4—21no—
1103C2×C3×C4—44no—
1104C2×C3×C4—82no—
1105C2×C3×C4—82no—
1106C2×C3×C4C22×D412yes—
1107C2×C3×C4C22×D412yes—
1108C2×C3×C4H(5,𝔽2)12yes—
1109C2×C3×C4H(5,𝔽2)12yes—
1110#67—28no—
1111#67—44no—
1112#67—44no—
1113#67—44no—
1114#67—82no—
1115#67—82no—
1116#67—82no—
1117#67—82no—
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—21no—
1147C2×Dic3—21no—
1148C2×Dic3—21no—
1149C2×Dic3—21no—
1150C2×Dic3—21no—
1151C2×Dic3—21no—
1152C2×Dic3—21no—
1153C2×Dic3—21no—
1154C2×Dic3—21no—
1155C2×Dic3—21no—
1156C2×Dic3—21no—
1157C2×Dic3—44no—
1158C2×Dic3—82no—
1159C2×Dic3—82no—
1160C2×Dic3C22×D412yes—
1161C2×Dic3C22×D412yes—
1162C2×Dic3C22×D412yes—
1163C4×D3—44no—
1164C4×D3—44no—
1165C4×D3—44no—
1166C4×D3—82no—
1167C4×D3—82no—
1168C4×D3—82no—
1169Dic6—82no—
1170C24—31no—
1171C24—31no—
1172C24—62no—
1173C24—62no—
1174C24—62no—
1175C24—121no—
1176C24—121no—
1177C24—121no—
1178C24—121no—
1179C24C23×D311yescharacteristic
1180C24C23×D311yescharacteristic
1181C24C23×D311yescharacteristic
1182C24C23×D311yescharacteristic
1183C24C23×D311yescharacteristic
1184C2×Q8—62no—
1185C2×Q8—121no—
1186C2×Q8—121no—
1187C2×D4—22no—
1188C2×D4—22no—
1189C2×D4—22no—
1190C2×D4—22no—
1191C2×D4—22no—
1192C2×D4—22no—
1193C2×D4—22no—
1194C2×D4—22no—
1195C2×D4—34no—
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—41no—
1210C2×D4—41no—
1211C2×D4—41no—
1212C2×D4—41no—
1213C2×D4—41no—
1214C2×D4—41no—
1215C2×D4—41no—
1216C2×D4—41no—
1217C2×D4—41no—
1218C2×D4—62no—
1219C2×D4—62no—
1220C2×D4—62no—
1221C2×D4—62no—
1222C2×D4—62no—
1223C2×D4—62no—
1224C2×D4—62no—
1225C2×D4—62no—
1226C2×D4—62no—
1227C2×D4—62no—
1228C2×D4—62no—
1229C2×D4—62no—
1230C2×D4—62no—
1231C2×D4—121no—
1232C2×D4—121no—
1233C2×D4—121no—
1234C2×D4—121no—
1235C2×D4—121no—
1236C2×D4—121no—
1237C2×D4—121no—
1238C2×D4—121no—
1239C2×D4—121no—
1240C2×D4—121no—
1241C22×C4—22no—
1242C22×C4—22no—
1243C22×C4—22no—
1244C22×C4—22no—
1245C22×C4—31no—
1246C22×C4—31no—
1247C22×C4—31no—
1248C22×C4—34no—
1249C22×C4—34no—
1250C22×C4—31no—
1251C22×C4—31no—
1252C22×C4—31no—
1253C22×C4—31no—
1254C22×C4—31no—
1255C22×C4—31no—
1256C22×C4—31no—
1257C22×C4—31no—
1258C22×C4—31no—
1259C22×C4—31no—
1260C22×C4—31no—
1261C22×C4—41no—
1262C22×C4—41no—
1263C22×C4—41no—
1264C22×C4—41no—
1265C22×C4—41no—
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—121no—
1275C22×C4—121no—
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×C4—121no—
1287C22×C4—121no—
1288C22×C4—121no—
1289C22×C4—121no—
1290C22×C4—121no—
1291C22×C4C23×D311yescharacteristic
1292C22×C4C23×D311yescharacteristic
1293C22×C4C23×D311yescharacteristic
1294C22×C4C23×D311yescharacteristic
1295C22×C4C23×D311yescharacteristic
1296C22×C4C23×D311yescharacteristic
1297C22×C4C23×D311yescharacteristic
1298C22×C4C23×D311yescharacteristic
1299C22×C4C23×D311yescharacteristic
1300C22×C4C23×D311yescharacteristic
1301C4⋊C4—22no—
1302C4⋊C4—22no—
1303C4⋊C4—22no—
1304C4⋊C4—22no—
1305C4⋊C4—34no—
1306C4⋊C4—41no—
1307C4⋊C4—41no—
1308C4⋊C4—62no—
1309C4⋊C4—62no—
1310C4⋊C4—62no—
1311C4⋊C4—62no—
1312C4⋊C4—62no—
1313C4⋊C4—62no—
1314C4⋊C4—62no—
1315C4⋊C4—62no—
1316C4⋊C4—62no—
1317C4⋊C4—62no—
1318C4⋊C4—62no—
1319C4⋊C4—62no—
1320C4⋊C4—62no—
1321C4⋊C4—62no—
1322C4⋊C4—62no—
1323C4⋊C4—62no—
1324C4⋊C4—121no—
1325C4⋊C4—121no—
1326C4⋊C4—121no—
1327C4⋊C4—121no—
1328C4⋊C4—121no—
1329C4⋊C4—121no—
1330C4⋊C4—121no—
1331C4⋊C4—121no—
1332C4⋊C4—121no—
1333C4⋊C4—121no—
1334C4⋊C4—121no—
1335C4⋊C4—121no—
1336C4⋊C4—121no—
1337C4⋊C4—121no—
1338C22⋊C4—22no—
1339C22⋊C4—22no—
1340C22⋊C4—22no—
1341C22⋊C4—22no—
1342C22⋊C4—22no—
1343C22⋊C4—22no—
1344C22⋊C4—34no—
1345C22⋊C4—41no—
1346C22⋊C4—41no—
1347C22⋊C4—41no—
1348C22⋊C4—41no—
1349C22⋊C4—41no—
1350C22⋊C4—62no—
1351C22⋊C4—62no—
1352C22⋊C4—62no—
1353C22⋊C4—62no—
1354C22⋊C4—62no—
1355C22⋊C4—62no—
1356C22⋊C4—62no—
1357C22⋊C4—62no—
1358C22⋊C4—62no—
1359C22⋊C4—62no—
1360C22⋊C4—62no—
1361C22⋊C4—62no—
1362C22⋊C4—62no—
1363C22⋊C4—62no—
1364C22⋊C4—62no—
1365C22⋊C4—62no—
1366C22⋊C4—62no—
1367C22⋊C4—62no—
1368C22⋊C4—62no—
1369C22⋊C4—62no—
1370C22⋊C4—62no—
1371C22⋊C4—62no—
1372C22⋊C4—121no—
1373C22⋊C4—121no—
1374C22⋊C4—121no—
1375C22⋊C4—121no—
1376C22⋊C4—121no—
1377C22⋊C4—121no—
1378C22⋊C4—121no—
1379C22⋊C4—121no—
1380C22⋊C4—121no—
1381C22⋊C4—121no—
1382C22⋊C4—121no—
1383C22⋊C4—121no—
1384C22⋊C4—121no—
1385C22⋊C4—121no—
1386C22⋊C4—121no—
1387C22⋊C4—121no—
1388C22⋊C4—121no—
1389C22⋊C4—121no—
1390C22⋊C4—121no—
1391C22⋊C4D3×D414yes—
1392C42—34no—
1393C42—62no—
1394C42—62no—
1395C42—62no—
1396C42—121no—
1397C42—121no—
1398C22×C3—22no—
1399C22×C3—22no—
1400C22×C3—22no—
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×C3—41no—
1419C22×C3—41no—
1420C22×C3—41no—
1421C22×C3—41no—
1422C22×C3—41no—
1423C22×C3—41no—
1424C22×C3—41no—
1425C22×C3—41no—
1426C22×C3—41no—
1427C22×C3—41no—
1428C22×C3—41no—
1429C22×C3—41no—
1430C22×C3—41no—
1431C22×C3—41no—
1432C22×C3—41no—
1433C22×C3C23×D411yescharacteristic
1434C22×C3C2×H(5,𝔽2)11yescharacteristic
1435C22×C3C2×H(5,𝔽2)11yescharacteristic
1436C22×C3C2×H(5,𝔽2)11yescharacteristic
1437C22×C3C2×2−1+411yescharacteristic
1438C22×C3#58511yescharacteristic
1439C22×C3#58511yescharacteristic
1440C2×D3—22no—
1441C2×D3—22no—
1442C2×D3—22no—
1443C2×D3—22no—
1444C2×D3—22no—
1445C2×D3—22no—
1446C2×D3—41no—
1447C2×D3—41no—
1448C2×D3—41no—
1449C2×D3—41no—
1450C2×D3—41no—
1451C2×D3—41no—
1452C2×D3—41no—
1453C2×D3—88no—
1454C2×D3#53714yes—
1455C3×C4—22no—
1456C3×C4—22no—
1457C3×C4—22no—
1458C3×C4—22no—
1459C3×C4—41no—
1460C3×C4—41no—
1461C3×C4—41no—
1462C3×C4—41no—
1463C3×C4—41no—
1464C3×C4—41no—
1465Dic3—22no—
1466Dic3—22no—
1467Dic3—22no—
1468Dic3—41no—
1469Dic3—41no—
1470Dic3—41no—
1471Dic3—41no—
1472Dic3—41no—
1473Dic3—41no—
1474Dic3—41no—
1475Dic3—41no—
1476Dic3—41no—
1477Dic3—41no—
1478Dic3—41no—
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—21no—
1498C23—21no—
1499C23—21no—
1500C23—21no—
1501C23—21no—
1502C23—21no—
1503C23—21no—
1504C23—21no—
1505C23—21no—
1506C23—21no—
1507C23—21no—
1508C23—21no—
1509C23—21no—
1510C23—21no—
1511C23—21no—
1512C23—21no—
1513C23—32no—
1514C23—32no—
1515C23—32no—
1516C23—61no—
1517C23—61no—
1518C23—61no—
1519C23—61no—
1520C23—61no—
1521C23—61no—
1522C23—61no—
1523C23—61no—
1524C23—61no—
1525C23—61no—
1526C23—61no—
1527C23—124no—
1528C23—124no—
1529C23—124no—
1530C23—242no—
1531C23—242no—
1532C23—242no—
1533C23—242no—
1534C23C2×D3×D412yes—
1535C23C24×D311yescharacteristic
1536Q8—242no—
1537D4—44no—
1538D4—68no—
1539D4—82no—
1540D4—82no—
1541D4—82no—
1542D4—82no—
1543D4—82no—
1544D4—82no—
1545D4—82no—
1546D4—82no—
1547D4—82no—
1548D4—124no—
1549D4—124no—
1550D4—124no—
1551D4—242no—
1552D4—242no—
1553D4—242no—
1554D4—242no—
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—21no—
1567C2×C4—21no—
1568C2×C4—21no—
1569C2×C4—21no—
1570C2×C4—21no—
1571C2×C4—21no—
1572C2×C4—21no—
1573C2×C4—21no—
1574C2×C4—21no—
1575C2×C4—21no—
1576C2×C4—21no—
1577C2×C4—21no—
1578C2×C4—21no—
1579C2×C4—21no—
1580C2×C4—21no—
1581C2×C4—32no—
1582C2×C4—32no—
1583C2×C4—32no—
1584C2×C4—44no—
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—61no—
1611C2×C4—61no—
1612C2×C4—61no—
1613C2×C4—61no—
1614C2×C4—61no—
1615C2×C4—61no—
1616C2×C4—61no—
1617C2×C4—61no—
1618C2×C4—61no—
1619C2×C4—61no—
1620C2×C4—61no—
1621C2×C4—61no—
1622C2×C4—61no—
1623C2×C4—61no—
1624C2×C4—82no—
1625C2×C4—82no—
1626C2×C4—124no—
1627C2×C4—124no—
1628C2×C4—124no—
1629C2×C4—124no—
1630C2×C4—242no—
1631C2×C4—242no—
1632C2×C4—242no—
1633C2×C4—242no—
1634C2×C4—242no—
1635C2×C4C2×D3×D412yes—
1636C2×C4C2×D3×D412yes—
1637C2×C4#100412yes—
1638C2×C4#100412yes—
1639C2×C3—42no—
1640C2×C3—81no—
1641C2×C3—81no—
1642C2×C3—81no—
1643C2×C3—81no—
1644C2×C3C2×#53711yescharacteristic
1645C2×C3#348811yescharacteristic
1646C2×C3#349611yescharacteristic
1647C2×C3#353711yescharacteristic
1648C2×C3#354111yescharacteristic
1649C2×C3#354111yescharacteristic
1650C2×C3#356011yescharacteristic
1651D3—24no—
1652D3—81no—
1653C22—22no—
1654C22—22no—
1655C22—22no—
1656C22—34no—
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—41no—
1673C22—41no—
1674C22—41no—
1675C22—41no—
1676C22—41no—
1677C22—41no—
1678C22—41no—
1679C22—41no—
1680C22—41no—
1681C22—41no—
1682C22—41no—
1683C22—41no—
1684C22—41no—
1685C22—41no—
1686C22—41no—
1687C22—41no—
1688C22—41no—
1689C22—62no—
1690C22—62no—
1691C22—62no—
1692C22—62no—
1693C22—62no—
1694C22—62no—
1695C22—121no—
1696C22—121no—
1697C22—121no—
1698C22—121no—
1699C22—121no—
1700C22—121no—
1701C22—121no—
1702C22—248no—
1703C22C22×D3×D411yescharacteristic
1704C22C2×#100411yescharacteristic
1705C22C2×#100411yescharacteristic
1706C22D3×H(5,𝔽2)11yescharacteristic
1707C22#596611yescharacteristic
1708C22#596611yescharacteristic
1709C22D3×2−1+411yescharacteristic
1710C4—22no—
1711C4—22no—
1712C4—22no—
1713C4—22no—
1714C4—41no—
1715C4—41no—
1716C4—41no—
1717C4—41no—
1718C4—41no—
1719C4—41no—
1720C4—62no—
1721C4—62no—
1722C4—62no—
1723C4—121no—
1724C4—121no—
1725C4—121no—
1726C4—121no—
1727C4—121no—
1728C4—121no—
1729C4—121no—
1730C4—121no—
1731C4—121no—
1732C4—121no—
1733C4—121no—
1734C3#4051511yescharacteristic, complemented, Sylow
1735C2—42no—
1736C2—64no—
1737C2—81no—
1738C2—81no—
1739C2—81no—
1740C2—81no—
1741C2—241no—
1742C2D3×#53711yescharacteristic
1743C2#8638511yescharacteristic
1744C2#8638511yescharacteristic
1745C2#8660711yescharacteristic
1746C2#8662111yescharacteristic
1747C2#8662311yescharacteristic
1748C2#8708411yescharacteristic
subgroupG/H
center, FrattiniC23C24×D3
commutator, socle, cosocleC23×C3C25
FittingC3×#2675C2
hypercenter#2675D3
hypocenterC3#40515
LCSG ▷ C23×C3 ▷ C3
UCSC1 ◁ C23 ◁ #2675

Complements

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

NH ≅ G/Ntype
1. C2×#5614C2semidirect
2. C2×#5613C2semidirect
3. C3×#2675C2semidirect
4. #82707C2semidirect
5. #82707C2semidirect
6. #82690C2semidirect
7. #82686C2semidirect
8. #82684C2semidirect
9. #82677C2semidirect
10. #82675C2semidirect
11. #82642C2semidirect
12. #82641C2semidirect
13. #82641C2semidirect
14. #77450C2semidirect
15. #77420C2semidirect
16. D3×#396C2semidirect
17. #77367C2semidirect
18. #76761C2semidirect
19. #76759C2semidirect
20. #76756C2semidirect
21. #76756C2semidirect
22. #76741C2semidirect
23. #76724C2semidirect
24. #76709C2semidirect
25. #76699C2semidirect
26. #74616C2semidirect
27. #74609C2semidirect
28. #74531C2semidirect
29. #74525C2semidirect
30. #74498C2semidirect
31. #74393C2semidirect
36. C2×C3×#121C22semidirect
37. C2×C3×#121C22semidirect
38. C2×C3×#121C22semidirect
54. C2×#935C22semidirect
55. C2×#935C22semidirect
56. C2×D4×Dic3C22semidirect
61. C2×#926C22semidirect
62. C2×#924C22semidirect
63. C22×Dic3⋊C4C22semidirect
71. C2×#890C22semidirect
80. C2×#879C22semidirect
81. C2×#879C22semidirect
83. C3×#396C22semidirect
87. C3×#392C22semidirect
88. C3×#385C22semidirect
89. C3×#385C22semidirect
90. C3×#385C22semidirect
100. #5222C22semidirect
101. #5222C22semidirect
102. #5222C22semidirect
103. #5222C22semidirect
104. #5222C22semidirect
107. #5221C22semidirect
108. #5221C22semidirect
111. #5220C22semidirect
112. #5220C22semidirect
115. #5212C22semidirect
116. #5212C22semidirect
117. #5210C22semidirect
125. #4984C22semidirect
126. #4984C22semidirect
127. #4983C22semidirect
128. #4983C22semidirect
129. #4982C22semidirect
130. #4978C22semidirect
131. #4978C22semidirect
132. #4976C22semidirect
133. #4976C22semidirect
134. #4975C22semidirect
135. #4973C22semidirect
151. #4953C22semidirect
154. #4951C22semidirect
155. #4951C22semidirect
156. #4950C22semidirect
157. #4949C22semidirect
163. #4948C22semidirect
164. #4948C22semidirect
165. #4948C22semidirect
166. #4948C22semidirect
167. #4948C22semidirect
168. #4948C22semidirect
169. #4948C22semidirect
170. #4947C22semidirect
171. #4946C22semidirect
172. #4942C22semidirect
173. #4942C22semidirect
182. #4661C22semidirect
183. #4658C22semidirect
184. #4657C22semidirect
185. #4656C22semidirect
186. #4653C22semidirect
187. #4652C22semidirect
188. #4649C22semidirect
189. #4647C22semidirect
201. #2675D3semidirect
390. #67⋊C4D4semidirect
450. C2×#121C2×D3semidirect
451. C2×#121C2×D3semidirect
452. C2×#121C2×D3semidirect
501. #396C2×D3semidirect
527. #392C2×D3semidirect
569. #385C2×D3semidirect
570. #385C2×D3semidirect
571. #385C2×D3semidirect
1734. C3#40515semidirect

Maximal subgroups

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

subgroupindex
C2×#56142
C2×#56132
C3×#26752
#827072
#826902
#826862
#826842
#826772
#826752
#826422
#826412
#774502
#774202
D3×#3962
#773672
#767612
#767592
#767562
#767412
#767242
#767092
#766992
#746162
#746092
#745312
#745252
#744982
#743932
#405153