Finite Group Databasebeta

← #11043274

Subgroups — #11043274

Order 768.

2300 conjugacy classes of subgroups.

The subgroup lattice has 1650 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#5658C211yesmaximal, characteristic, complemented
2C2×#5649C211yesmaximal, characteristic, complemented
3C3×#2445C211yesmaximal, characteristic, complemented
4#83190C211yesmaximal, characteristic
5#83172C211yesmaximal, characteristic, complemented
6#82863C211yesmaximal, characteristic, complemented
7#82861C211yesmaximal, characteristic, complemented
8#82404C211yesmaximal, characteristic, complemented
9#82318C211yesmaximal, characteristic, complemented
10#77144C211yesmaximal, characteristic, complemented
11#77139C211yesmaximal, characteristic, complemented
12#77119C211yesmaximal, characteristic, complemented
13#77022C211yesmaximal, characteristic, complemented
14#77006C211yesmaximal, characteristic, complemented
15#76982C211yesmaximal, characteristic, complemented
16#76974C211yesmaximal, characteristic, complemented
17#76943C211yesmaximal, characteristic, complemented
18#76429C211yesmaximal, characteristic, complemented
19#76388C211yesmaximal, characteristic, complemented
20#76380C211yesmaximal, characteristic, complemented
21#76372C211yesmaximal, characteristic, complemented
22#76370C211yesmaximal, characteristic, complemented
23#76327C211yesmaximal, characteristic, complemented
24#76264C211yesmaximal, characteristic, complemented
25#76097C211yesmaximal, characteristic, complemented
26#74869C211yesmaximal, characteristic, complemented
27#74779C211yesmaximal, characteristic, complemented
28#74727C211yesmaximal, characteristic, complemented
29#74713C211yesmaximal, characteristic, complemented
30#73698C211yesmaximal, characteristic, complemented
31#73633C211yesmaximal, characteristic, complemented
32#38386—31nomaximal, Sylow
33C2×C3×#127C2211yescharacteristic
34C2×C3×#123C2211yescharacteristic
35C2×C3×#123C2211yescharacteristic, complemented
36C2×C3×C4×D4C2211yescharacteristic
37C2×#939C2211yescharacteristic
38C2×#939C2211yescharacteristic
39C2×#937C2211yescharacteristic
40C2×#937C2211yescharacteristic
41C2×#937C2211yescharacteristic
42C2×D4×Dic3C2211yescharacteristic
43C2×D4×Dic3C2211yescharacteristic, complemented
44C2×#929C2211yescharacteristic
45C22×(C2×D3)⋊C4C2211yescharacteristic
46C2×#926C2211yescharacteristic
47C22×C4×Dic3C2211yescharacteristic, complemented
48#5658—28no—
49#5649—28no—
50C2×#898C2211yescharacteristic
51C2×#898C2211yescharacteristic
52C2×#898C2211yescharacteristic
53C2×#897C2211yescharacteristic
54C2×#892C2211yescharacteristic
55C2×#889C2211yescharacteristic, complemented
56C2×#887C2211yescharacteristic, complemented
57C2×#886C2211yescharacteristic
58C2×#885C2211yescharacteristic
59C2×#885C2211yescharacteristic
60C2×#883C2211yescharacteristic
61C2×#883C2211yescharacteristic
62C2×#67⋊C4C2211yescharacteristic
63C2×#67⋊C4C2211yescharacteristic
64C2×#67⋊C4C2211yescharacteristic
65C2×D3×C22⋊C4C2211yescharacteristic
66C2×#879C2211yescharacteristic, complemented
67C2×#878C2211yescharacteristic
68C2×#878C2211yescharacteristic
69C2×#878C2211yescharacteristic, complemented
70C2×#878C2211yescharacteristic, complemented
71C2×#878C2211yescharacteristic, complemented
72C2×#877C2211yescharacteristic, complemented
73C3×#394C2211yescharacteristic
74C3×#394C2211yescharacteristic
75C3×#394C2211yescharacteristic, complemented
76C3×#394C2211yescharacteristic, complemented
77C3×#390C2211yescharacteristic
78C3×#390C2211yescharacteristic, complemented
79C3×#390C2211yescharacteristic, complemented
80C3×#389C2211yescharacteristic, complemented
81C3×#386C2211yescharacteristic
82C3×#386C2211yescharacteristic, complemented
83C3×C4×C4⋊C4C2211yescharacteristic, complemented
84#5223C2211yescharacteristic
85#5223C2211yescharacteristic
86#5223C2211yescharacteristic
87#5223C2211yescharacteristic
88#5222C2211yescharacteristic
89#5222C2211yescharacteristic
90#5221C2211yescharacteristic
91#5221C2211yescharacteristic, complemented
92#5220C2211yescharacteristic
93#5220C2211yescharacteristic
94#5220C2211yescharacteristic
95#5220C2211yescharacteristic
96#5220C2211yescharacteristic
97#5220C2211yescharacteristic, complemented
98#5220C2211yescharacteristic, complemented
99#5220C2211yescharacteristic, complemented
100#5220C2211yescharacteristic, complemented
101#5213C2211yescharacteristic
102#5210C2211yescharacteristic
103C4×#217C2211yescharacteristic
104C4×#217C2211yescharacteristic, complemented
105#4994C2211yescharacteristic
106#4993C2211yescharacteristic
107#4992C2211yescharacteristic
108#4990C2211yescharacteristic
109#4990C2211yescharacteristic
110#4989C2211yescharacteristic
111#4987C2211yescharacteristic
112#4986C2211yescharacteristic, complemented
113#4981C2211yescharacteristic, complemented
114#4981C2211yescharacteristic, complemented
115#4980C2211yescharacteristic, complemented
116#4980C2211yescharacteristic, complemented
117#4979C2211yescharacteristic, complemented
118#4979C2211yescharacteristic, complemented
119#4976C2211yescharacteristic, complemented
120Dic3×C4⋊C4C2211yescharacteristic, complemented
121#4972C2211yescharacteristic, complemented
122#4961C2211yescharacteristic
123#4961C2211yescharacteristic
124#4961C2211yescharacteristic
125#4961C2211yescharacteristic
126#4959C2211yescharacteristic
127#4959C2211yescharacteristic
128#4959C2211yescharacteristic
129#4959C2211yescharacteristic
130#4958C2211yescharacteristic
131#4958C2211yescharacteristic
132#4957C2211yescharacteristic
133#4957C2211yescharacteristic
134#4957C2211yescharacteristic
135#4956C2211yescharacteristic
136#4955C2211yescharacteristic
137#4955C2211yescharacteristic
138#4951C2211yescharacteristic
139#4951C2211yescharacteristic
140#4951C2211yescharacteristic, complemented
141#4950C2211yescharacteristic, complemented
142#4950C2211yescharacteristic, complemented
143#4950C2211yescharacteristic, complemented
144#4948C2211yescharacteristic
145#4948C2211yescharacteristic
146#4948C2211yescharacteristic, complemented
147#4948C2211yescharacteristic, complemented
148#4948C2211yescharacteristic, complemented
149#4948C2211yescharacteristic, complemented
150#4948C2211yescharacteristic, complemented
151#4947C2211yescharacteristic, complemented
152#4945C2211yescharacteristic
153#4945C2211yescharacteristic
154#4945C2211yescharacteristic, complemented
155#4945C2211yescharacteristic, complemented
156#4945C2211yescharacteristic, complemented
157#4945C2211yescharacteristic, complemented
158#4944C2211yescharacteristic, complemented
159#4944C2211yescharacteristic, complemented
160#4942C2211yescharacteristic
161#4942C2211yescharacteristic, complemented
162#4940C2211yescharacteristic
163#4940C2211yescharacteristic
164#4940C2211yescharacteristic
165#4940C2211yescharacteristic
166#4940C2211yescharacteristic
167C4×(C2×D3)⋊C4C2211yescharacteristic
168#4936C2211yescharacteristic, complemented
169C4×C4⋊Dic3C2211yescharacteristic, complemented
170#4932C2211yescharacteristic, complemented
171#4932C2211yescharacteristic, complemented
172#4928C2211yescharacteristic, complemented
173#4928C2211yescharacteristic, complemented
174#4677C2211yescharacteristic
175#4675C2211yescharacteristic
176#4673C2211yescharacteristic
177#4670C2211yescharacteristic
178#4669C2211yescharacteristic
179#4669C2211yescharacteristic
180#4669C2211yescharacteristic
181#4664C2211yescharacteristic
182#4661C2211yescharacteristic, complemented
183#4658C2211yescharacteristic, complemented
184#4657C2211yescharacteristic, complemented
185#4655C2211yescharacteristic, complemented
186#4653C2211yescharacteristic, complemented
187#4650C2211yescharacteristic, complemented
188#4650C2211yescharacteristic, complemented
189#4646C2211yescharacteristic, complemented
190C2×#551—31no—
191C2×#529—31no—
192#2850—31no—
193#2705—31no—
194#2702—31no—
195#2698—31no—
196#2685—31no—
197#2683—31no—
198#2681—31no—
199#2681—31no—
200#2669—31no—
201#2636—31no—
202#2630—31no—
203#2610—31no—
204#2609—31no—
205#2604—31no—
206#2602—31no—
207#2558—31no—
208#2554—31no—
209#2536—31no—
210#2534—31no—
211#2519—31no—
212#2472—31no—
213#2461—31no—
214#2457—31no—
215#2445D311yescharacteristic, complemented
216#2418—31no—
217#2346—31no—
218#2328—31no—
219#2321—31no—
220#2290—31no—
221C24×D3C2311yescharacteristic
222C22×C3×D4C2311yescharacteristic
223C22×C3×D4C2311yescharacteristic
224C22×C3×D4C2311yescharacteristic
225C22×C3×D4C2311yescharacteristic
226C22×C3×D4C2311yescharacteristic
227C22×C3×D4C2311yescharacteristic
228C23×C3×C4C2311yescharacteristic
229C23×C3×C4C2311yescharacteristic
230C22×#67C2311yescharacteristic
231C22×#67C2311yescharacteristic
232C22×#67C2311yescharacteristic
233C22×#67C2311yescharacteristic
234C22×#67C2311yescharacteristic
235C22×#67C2311yescharacteristic
236C23×Dic3C2311yescharacteristic
237C23×Dic3C2311yescharacteristic
238C23×Dic3C2311yescharacteristic
239C23×Dic3C2311yescharacteristic
240C23×Dic3C2311yescharacteristic
241C22×C4×D3C2311yescharacteristic
242C22×C4×D3C2311yescharacteristic
243C22×Dic6C2311yescharacteristic
244C22×Dic6C2311yescharacteristic
245C3×#127—24no—
246C3×#123—24no—
247C3×#123—24no—
248C3×C4×D4—24no—
249C2×C3×C4⋊C4C2311yescharacteristic
250C2×C3×C4⋊C4C2311yescharacteristic
251C2×C3×C4⋊C4C2311yescharacteristic
252C2×C3×C4⋊C4C2311yescharacteristic
253C2×C3×C4⋊C4C2311yescharacteristic
254C2×C3×C4⋊C4C2311yescharacteristic
255C2×C3×C22⋊C4C2311yescharacteristic
256C2×C3×C22⋊C4C2311yescharacteristic
257C2×C3×C22⋊C4C2311yescharacteristic
258C2×C3×C22⋊C4C2311yescharacteristic
259C2×C3×C22⋊C4C2311yescharacteristic
260C2×C3×C22⋊C4C2311yescharacteristic
261C2×C3×C22⋊C4C2311yescharacteristic
262C2×C3×C22⋊C4C2311yescharacteristic
263C2×C3×C22⋊C4C2311yescharacteristic
264C2×C3×C22⋊C4C2311yescharacteristic
265C2×C3×C22⋊C4C2311yescharacteristic
266C2×C3×C22⋊C4C2311yescharacteristic
267C2×C3×C22⋊C4C2311yescharacteristic
268C2×C3×C22⋊C4C2311yescharacteristic
269C2×C3×C42C2311yescharacteristic
270C2×C3×C42C2311yescharacteristic
271C2×C3×C42C2311yescharacteristic
272C2×#217C2311yescharacteristic
273C2×#217C2311yescharacteristic
274C2×#217C2311yescharacteristic
275C2×#217C2311yescharacteristic
276C2×#217C2311yescharacteristic
277C2×#217C2311yescharacteristic
278C2×#217C2311yescharacteristic
279C2×#217C2311yescharacteristic
280C2×#217C2311yescharacteristic
281C2×#217C2311yescharacteristic
282C2×#217C2311yescharacteristic
283C2×#217C2311yescharacteristic
284C2×#217C2311yescharacteristic
285C2×#217C2311yescharacteristic
286C2×#217C2311yescharacteristic
287C2×#217C2311yescharacteristic
288C2×#217C2311yescharacteristic
289C2×#217C2311yescharacteristic
290C2×#217C2311yescharacteristic
291C2×#217C2311yescharacteristic
292#939—24no—
293#939—42no—
294#937—24no—
295#937—24no—
296#937—42no—
297D4×Dic3—24no—
298D4×Dic3—24no—
299#929—24no—
300C2×(C2×D3)⋊C4—24no—
301C2×(C2×D3)⋊C4C2311yescharacteristic
302C2×(C2×D3)⋊C4C2311yescharacteristic
303C2×(C2×D3)⋊C4C2311yescharacteristic
304C2×(C2×D3)⋊C4C2311yescharacteristic
305C2×(C2×D3)⋊C4C2311yescharacteristic
306C2×(C2×D3)⋊C4C2311yescharacteristic
307C2×(C2×D3)⋊C4C2311yescharacteristic
308C2×(C2×D3)⋊C4C2311yescharacteristic
309C2×(C2×D3)⋊C4C2311yescharacteristic
310C2×(C2×D3)⋊C4C2311yescharacteristic
311C2×(C2×D3)⋊C4C2311yescharacteristic
312C2×(C2×D3)⋊C4C2311yescharacteristic
313C2×(C2×D3)⋊C4C2311yescharacteristic
314C2×(C2×D3)⋊C4C2311yescharacteristic
315C2×(C2×D3)⋊C4C2311yescharacteristic
316C2×(C2×D3)⋊C4C2311yescharacteristic
317C2×(C2×D3)⋊C4C2311yescharacteristic
318C2×(C2×D3)⋊C4C2311yescharacteristic
319C2×(C2×D3)⋊C4C2311yescharacteristic
320C2×(C2×D3)⋊C4C2311yescharacteristic
321#926—24no—
322C2×C4⋊Dic3C2311yescharacteristic
323C2×C4⋊Dic3C2311yescharacteristic
324C2×C4⋊Dic3C2311yescharacteristic
325C2×C4⋊Dic3C2311yescharacteristic
326C2×C4⋊Dic3C2311yescharacteristic
327C2×C4⋊Dic3C2311yescharacteristic
328C2×C4⋊Dic3C2311yescharacteristic
329C2×C4⋊Dic3C2311yescharacteristic
330C2×C4⋊Dic3C2311yescharacteristic
331C2×C4⋊Dic3C2311yescharacteristic
332C2×Dic3⋊C4C2311yescharacteristic
333C2×Dic3⋊C4C2311yescharacteristic
334C2×Dic3⋊C4C2311yescharacteristic
335C2×Dic3⋊C4C2311yescharacteristic
336C2×Dic3⋊C4C2311yescharacteristic
337C2×Dic3⋊C4C2311yescharacteristic
338C2×Dic3⋊C4C2311yescharacteristic
339C2×Dic3⋊C4C2311yescharacteristic
340C2×Dic3⋊C4C2311yescharacteristic
341C2×Dic3⋊C4C2311yescharacteristic
342C2×Dic3⋊C4C2311yescharacteristic
343C2×Dic3⋊C4C2311yescharacteristic
344C2×Dic3⋊C4C2311yescharacteristic
345C2×Dic3⋊C4C2311yescharacteristic
346C2×Dic3⋊C4C2311yescharacteristic
347C2×Dic3⋊C4C2311yescharacteristic
348C2×C4×Dic3—24no—
349C2×C4×Dic3C2311yescharacteristic
350C2×C4×Dic3C2311yescharacteristic
351C2×C4×Dic3C2311yescharacteristic
352C2×C4×Dic3C2311yescharacteristic
353C2×C4×Dic3C2311yescharacteristic
354C2×C4×Dic3C2311yescharacteristic
355C2×C4×Dic3C2311yescharacteristic
356C2×C4×Dic3C2311yescharacteristic
357C2×C4×Dic3C2311yescharacteristic
358C2×C4×Dic3C2311yescharacteristic
359#898—24no—
360#898—24no—
361#898—24no—
362#897—24no—
363#892D418yescomplemented
364#889—24no—
365#887—24no—
366#886—24no—
367#885—24no—
368#885—24no—
369#883—24no—
370#883—42no—
371#67⋊C4—24no—
372#67⋊C4—24no—
373#67⋊C4—24no—
374D3×C22⋊C4—24no—
375#879—24no—
376#878—24no—
377#878—24no—
378#878—42no—
379#878—42no—
380#878—42no—
381#877—24no—
382C3×#95C2311yescharacteristic
383C3×#95C2311yescharacteristic
384C3×#95C2311yescharacteristic
385C3×#95C2311yescharacteristic
386C3⋊#95C2311yescharacteristic
387C3⋊#95C2311yescharacteristic
388C3⋊#95C2311yescharacteristic
389C3⋊#95C2311yescharacteristic
390C3⋊#95C2311yescharacteristic
391C3⋊#95C2311yescharacteristic
392C3⋊#95C2311yescharacteristic
393C3⋊#95C2311yescharacteristic
394C3⋊#95C2311yescharacteristic
395C3⋊#95C2311yescharacteristic
396C3⋊#95C2311yescharacteristic
397C3⋊#95C2311yescharacteristic
398C3⋊#95C2311yescharacteristic
399C3⋊#95C2311yescharacteristic
400C3⋊#95C2311yescharacteristic
401C3⋊#95C2311yescharacteristic
402C3⋊#95C2311yescharacteristic
403C3⋊#95C2311yescharacteristic
404C3⋊#95C2311yescharacteristic
405C3⋊#95C2311yescharacteristic
406C3⋊#95C2311yescharacteristic
407C3⋊#95C2311yescharacteristic
408C3⋊#95C2311yescharacteristic
409C3⋊#95C2311yescharacteristic
410C3⋊#95C2311yescharacteristic
411C3⋊#95C2311yescharacteristic
412C3⋊#95C2311yescharacteristic
413C3⋊#95C2311yescharacteristic
414#551—68no—
415C2×#127C2×D311yescharacteristic
416#529—68no—
417C2×#126—31no—
418C2×#126—31no—
419C2×#126—31no—
420C2×#126—31no—
421C2×#125—31no—
422C2×#124—31no—
423C2×#124—31no—
424C2×#123—31no—
425C2×#123—31no—
426C2×#123—31no—
427C2×#123—31no—
428C2×#123C2×D311yescharacteristic
429C2×#123C2×D311yescharacteristic, complemented
430C2×C22⋊Q8—31no—
431C2×C22⋊Q8—31no—
432C2×C22⋊Q8—31no—
433C2×C22⋊Q8—31no—
434C2×C22⋊Q8—31no—
435C2×C22⋊Q8—31no—
436C2×#121—31no—
437C2×#121—31no—
438C2×#120—31no—
439C2×#120—31no—
440C2×#120—31no—
441C2×C4×Q8—31no—
442C2×C4×D4—31no—
443C2×C4×D4—31no—
444C2×C4×D4—31no—
445C2×C4×D4—31no—
446C2×C4×D4—31no—
447C2×C4×D4C2×D311yescharacteristic
448C2×#117—31no—
449C2×#117—31no—
450C2×#117—31no—
451C22×C22⋊C4—31no—
452C22×C22⋊C4—31no—
453C22×C42—31no—
454#400—31no—
455#400—31no—
456#399—31no—
457#399—31no—
458#398—31no—
459#398—31no—
460#398—31no—
461#398—31no—
462#397—31no—
463#397—31no—
464#396—31no—
465#396—31no—
466#396—31no—
467#396—31no—
468#396—31no—
469#396—31no—
470#396—31no—
471#396—31no—
472#395—31no—
473#395—31no—
474#394—31no—
475#394—31no—
476#394—31no—
477#394—31no—
478#394—31no—
479#394—31no—
480#394—31no—
481#394—31no—
482#394—31no—
483#394—31no—
484#394C2×D311yescharacteristic
485#394C2×D311yescharacteristic
486#394C2×D311yescharacteristic, complemented
487#394C2×D311yescharacteristic, complemented
488#393—31no—
489#393—31no—
490#392—31no—
491#392—31no—
492#392—31no—
493#392—31no—
494#391—31no—
495#390—31no—
496#390—31no—
497#390—31no—
498#390—31no—
499#390—31no—
500#390C2×D311yescharacteristic
501#390C2×D311yescharacteristic, complemented
502#390C2×D311yescharacteristic, complemented
503#389—31no—
504#389—31no—
505#389—31no—
506#389—31no—
507#389C2×D311yescharacteristic, complemented
508#388—31no—
509#388—31no—
510#388—31no—
511#388—31no—
512#388—31no—
513#388—31no—
514#388—31no—
515#388—31no—
516#388—31no—
517#388—31no—
518#388—31no—
519#388—31no—
520#388—31no—
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#387—31no—
531#387—31no—
532#387—31no—
533#387—31no—
534#386—31no—
535#386—31no—
536#386—31no—
537#386—31no—
538#386—31no—
539#386—31no—
540#386—31no—
541#386—31no—
542#386—31no—
543#386—31no—
544#386—31no—
545#386—31no—
546#386—31no—
547#386C2×D311yescharacteristic
548#386C2×D311yescharacteristic, complemented
549#385—31no—
550#385—31no—
551#385—31no—
552#385—31no—
553#385—31no—
554#382—31no—
555#382—31no—
556#382—31no—
557#381—31no—
558#380—31no—
559#380—31no—
560#380—31no—
561#379—31no—
562#379—31no—
563C4×C4⋊C4—31no—
564C4×C4⋊C4—31no—
565C4×C4⋊C4C2×D311yescharacteristic, complemented
566C4×C22⋊C4—31no—
567C4×C22⋊C4—31no—
568C4×C22⋊C4—31no—
569#376—31no—
570#376—31no—
571C24×C3C2411yescharacteristic
572C24×C3C2411yescharacteristic
573C24×C3C2411yescharacteristic
574C24×C3C2411yescharacteristic
575C23×D3—22no—
576C23×D3—22no—
577C23×D3—41no—
578C23×D3—41no—
579C23×D3—41no—
580C23×D3—41no—
581C23×D3—41no—
582C23×D3C2411yescharacteristic
583C23×D3C2411yescharacteristic
584C2×C3×D4—22no—
585C2×C3×D4—22no—
586C2×C3×D4—22no—
587C2×C3×D4—22no—
588C2×C3×D4—22no—
589C2×C3×D4—22no—
590C2×C3×D4—22no—
591C2×C3×D4—41no—
592C2×C3×D4—41no—
593C2×C3×D4—41no—
594C2×C3×D4—41no—
595C2×C3×D4—41no—
596C2×C3×D4—41no—
597C2×C3×D4—41no—
598C2×C3×D4—41no—
599C2×C3×D4—41no—
600C2×C3×D4—41no—
601C2×C3×D4#4114yes—
602C22×C3×C4—22no—
603C22×C3×C4—22no—
604C22×C3×C4—22no—
605C22×C3×C4—22no—
606C22×C3×C4—41no—
607C22×C3×C4—41no—
608C22×C3×C4C2411yescharacteristic
609C22×C3×C4C2411yescharacteristic
610C22×C3×C4C2411yescharacteristic
611C22×C3×C4C2411yescharacteristic
612C22×C3×C4C2411yescharacteristic
613C22×C3×C4C2411yescharacteristic
614C22×C3×C4C2411yescharacteristic
615C22×C3×C4C2411yescharacteristic
616C22×C3×C4C2411yescharacteristic
617C22×C3×C4C2411yescharacteristic
618C22×C3×C4C2411yescharacteristic
619C2×#67—22no—
620C2×#67—22no—
621C2×#67—22no—
622C2×#67—22no—
623C2×#67—22no—
624C2×#67—22no—
625C2×#67—22no—
626C2×#67—41no—
627C2×#67—41no—
628C2×#67—41no—
629C2×#67—41no—
630C2×#67—41no—
631C2×#67—41no—
632C2×#67—41no—
633C2×#67—41no—
634C2×#67—41no—
635C2×#67—41no—
636C2×#67—41no—
637C22×Dic3—22no—
638C22×Dic3—22no—
639C22×Dic3—22no—
640C22×Dic3—22no—
641C22×Dic3—22no—
642C22×Dic3—22no—
643C22×Dic3—41no—
644C22×Dic3—41no—
645C22×Dic3—41no—
646C22×Dic3—41no—
647C22×Dic3—41no—
648C22×Dic3—41no—
649C22×Dic3—41no—
650C22×Dic3—41no—
651C22×Dic3—41no—
652C22×Dic3C2411yescharacteristic
653C22×Dic3C2411yescharacteristic
654C22×Dic3C2411yescharacteristic
655C22×Dic3C2411yescharacteristic
656C22×Dic3C2411yescharacteristic
657C22×Dic3C2411yescharacteristic
658C22×Dic3C2411yescharacteristic
659C22×Dic3C2411yescharacteristic
660C22×Dic3C2411yescharacteristic
661C22×Dic3C2411yescharacteristic
662C22×Dic3C2411yescharacteristic
663C22×Dic3C2411yescharacteristic
664C22×Dic3C2411yescharacteristic
665C22×Dic3C2411yescharacteristic
666C2×C4×D3—22no—
667C2×C4×D3—41no—
668C2×C4×D3—41no—
669C2×C4×D3—41no—
670C2×C4×D3—41no—
671C2×C4×D3C2×D414yes—
672C2×Dic6—22no—
673C2×Dic6—22no—
674C2×Dic6—22no—
675C2×Dic6—41no—
676C2×Dic6—41no—
677C2×Dic6—41no—
678C3×C4⋊C4—22no—
679C3×C4⋊C4—22no—
680C3×C4⋊C4—22no—
681C3×C4⋊C4—41no—
682C3×C4⋊C4—41no—
683C3×C4⋊C4C2×D414yes—
684C3×C22⋊C4—22no—
685C3×C22⋊C4—22no—
686C3×C22⋊C4—22no—
687C3×C22⋊C4—22no—
688C3×C22⋊C4—22no—
689C3×C22⋊C4—22no—
690C3×C22⋊C4—22no—
691C3×C22⋊C4—22no—
692C3×C22⋊C4—41no—
693C3×C22⋊C4—41no—
694C3×C22⋊C4—41no—
695C3×C22⋊C4—41no—
696C3×C22⋊C4—41no—
697C3×C22⋊C4—41no—
698C3×C42—22no—
699C3×C42—22no—
700C3×C42—41no—
701#217—22no—
702#217—22no—
703#217—22no—
704#217—22no—
705#217—22no—
706#217—22no—
707#217—22no—
708#217—22no—
709#217—22no—
710#217—41no—
711#217—41no—
712#217—41no—
713#217—41no—
714#217—41no—
715#217—41no—
716#217—41no—
717#217—41no—
718#217—41no—
719#217—41no—
720#217—41no—
721(C2×D3)⋊C4—22no—
722(C2×D3)⋊C4—22no—
723(C2×D3)⋊C4—22no—
724(C2×D3)⋊C4—22no—
725(C2×D3)⋊C4—22no—
726(C2×D3)⋊C4—22no—
727(C2×D3)⋊C4—22no—
728(C2×D3)⋊C4—22no—
729(C2×D3)⋊C4—22no—
730(C2×D3)⋊C4—22no—
731(C2×D3)⋊C4—22no—
732(C2×D3)⋊C4—41no—
733(C2×D3)⋊C4—41no—
734(C2×D3)⋊C4—41no—
735(C2×D3)⋊C4—41no—
736(C2×D3)⋊C4—41no—
737(C2×D3)⋊C4—41no—
738(C2×D3)⋊C4—41no—
739(C2×D3)⋊C4C2×D414yes—
740(C2×D3)⋊C4C2×D414yes—
741C4⋊Dic3—22no—
742C4⋊Dic3—22no—
743C4⋊Dic3—22no—
744C4⋊Dic3—22no—
745C4⋊Dic3—22no—
746C4⋊Dic3—22no—
747C4⋊Dic3—41no—
748C4⋊Dic3—41no—
749C4⋊Dic3—41no—
750C4⋊Dic3C2×D414yes—
751Dic3⋊C4—22no—
752Dic3⋊C4—22no—
753Dic3⋊C4—22no—
754Dic3⋊C4—22no—
755Dic3⋊C4—22no—
756Dic3⋊C4—22no—
757Dic3⋊C4—22no—
758Dic3⋊C4—22no—
759Dic3⋊C4—22no—
760Dic3⋊C4—41no—
761Dic3⋊C4—41no—
762Dic3⋊C4—41no—
763Dic3⋊C4—41no—
764Dic3⋊C4—41no—
765Dic3⋊C4—41no—
766Dic3⋊C4—41no—
767C4×Dic3—22no—
768C4×Dic3—22no—
769C4×Dic3—22no—
770C4×Dic3—22no—
771C4×Dic3—22no—
772C4×Dic3—41no—
773C4×Dic3—41no—
774C4×Dic3—41no—
775C4×Dic3C2×D414yes—
776C4×Dic3C2×D414yes—
777C25—31no—
778C22×Q8—31no—
779C22×Q8—31no—
780C22×D4—31no—
781C22×D4—31no—
782C22×D4—31no—
783C22×D4—31no—
784C22×D4—31no—
785C22×D4—31no—
786C22×D4C22×D311yescharacteristic
787C22×D4C22×D311yescharacteristic
788C22×D4C22×D311yescharacteristic
789C22×D4C22×D311yescharacteristic
790C22×D4C22×D311yescharacteristic
791C22×D4C22×D311yescharacteristic
792C23×C4—31no—
793C23×C4—31no—
794C23×C4—31no—
795C23×C4—31no—
796C23×C4—31no—
797C23×C4—31no—
798C23×C4—31no—
799C23×C4C22×D311yescharacteristic
800C23×C4C22×D311yescharacteristic
801#127—24no—
802#126—64no—
803#126—64no—
804#126—64no—
805#126—64no—
806#125—64no—
807#124—64no—
808#124—64no—
809#123—24no—
810#123—24no—
811#123—64no—
812#123—64no—
813#123—64no—
814#123—122no—
815C22⋊Q8—64no—
816C22⋊Q8—64no—
817C22⋊Q8—64no—
818C22⋊Q8—122no—
819C22⋊Q8—122no—
820C22⋊Q8—122no—
821#121—64no—
822#121—122no—
823#120—64no—
824#120—64no—
825#120—122no—
826C4×Q8—64no—
827C4×D4—24no—
828C4×D4—64no—
829C4×D4—64no—
830C4×D4—64no—
831C4×D4—64no—
832C4×D4—64no—
833#117—38no—
834#117—64no—
835#117—64no—
836C2×C4⋊C4—31no—
837C2×C4⋊C4—31no—
838C2×C4⋊C4—31no—
839C2×C4⋊C4—31no—
840C2×C4⋊C4—31no—
841C2×C4⋊C4—31no—
842C2×C4⋊C4—31no—
843C2×C4⋊C4—31no—
844C2×C4⋊C4—31no—
845C2×C4⋊C4—31no—
846C2×C4⋊C4—31no—
847C2×C4⋊C4—31no—
848C2×C4⋊C4—31no—
849C2×C4⋊C4—31no—
850C2×C4⋊C4—31no—
851C2×C4⋊C4—31no—
852C2×C4⋊C4—31no—
853C2×C4⋊C4—31no—
854C2×C4⋊C4—31no—
855C2×C4⋊C4—31no—
856C2×C4⋊C4—31no—
857C2×C4⋊C4—31no—
858C2×C4⋊C4—31no—
859C2×C4⋊C4—31no—
860C2×C4⋊C4—31no—
861C2×C4⋊C4—31no—
862C2×C4⋊C4C22×D311yescharacteristic
863C2×C4⋊C4C22×D311yescharacteristic
864C2×C4⋊C4C22×D311yescharacteristic
865C2×C4⋊C4C22×D311yescharacteristic
866C2×C4⋊C4C22×D311yescharacteristic
867C2×C4⋊C4C22×D311yescharacteristic
868C2×C22⋊C4—31no—
869C2×C22⋊C4—31no—
870C2×C22⋊C4—31no—
871C2×C22⋊C4—31no—
872C2×C22⋊C4—31no—
873C2×C22⋊C4—31no—
874C2×C22⋊C4—31no—
875C2×C22⋊C4—31no—
876C2×C22⋊C4—31no—
877C2×C22⋊C4—31no—
878C2×C22⋊C4—31no—
879C2×C22⋊C4—31no—
880C2×C22⋊C4—31no—
881C2×C22⋊C4—31no—
882C2×C22⋊C4—31no—
883C2×C22⋊C4—31no—
884C2×C22⋊C4—31no—
885C2×C22⋊C4—31no—
886C2×C22⋊C4—31no—
887C2×C22⋊C4—31no—
888C2×C22⋊C4—31no—
889C2×C22⋊C4—31no—
890C2×C22⋊C4—31no—
891C2×C22⋊C4—31no—
892C2×C22⋊C4—31no—
893C2×C22⋊C4—31no—
894C2×C22⋊C4—31no—
895C2×C22⋊C4—31no—
896C2×C22⋊C4—31no—
897C2×C22⋊C4—31no—
898C2×C22⋊C4—31no—
899C2×C22⋊C4—31no—
900C2×C22⋊C4—31no—
901C2×C22⋊C4—31no—
902C2×C22⋊C4—31no—
903C2×C22⋊C4—31no—
904C2×C22⋊C4—31no—
905C2×C22⋊C4—31no—
906C2×C22⋊C4—31no—
907C2×C22⋊C4—31no—
908C2×C22⋊C4—64no—
909C2×C22⋊C4—64no—
910C2×C22⋊C4C22×D311yescharacteristic
911C2×C22⋊C4C22×D311yescharacteristic
912C2×C22⋊C4C22×D311yescharacteristic
913C2×C22⋊C4C22×D311yescharacteristic
914C2×C22⋊C4C22×D311yescharacteristic
915C2×C22⋊C4C22×D311yescharacteristic
916C2×C22⋊C4C22×D311yescharacteristic
917C2×C22⋊C4C22×D311yescharacteristic
918C2×C22⋊C4C22×D311yescharacteristic
919C2×C22⋊C4C22×D311yescharacteristic
920C2×C22⋊C4C22×D311yescharacteristic
921C2×C22⋊C4C22×D311yescharacteristic
922C2×C22⋊C4C22×D311yescharacteristic
923C2×C22⋊C4C22×D311yescharacteristic
924C2×C42—31no—
925C2×C42—31no—
926C2×C42—31no—
927C2×C42—31no—
928C2×C42—31no—
929C2×C42—31no—
930C2×C42—31no—
931C2×C42—31no—
932C2×C42—31no—
933C2×C42—31no—
934C2×C42—64no—
935C2×C42C22×D311yescharacteristic
936C2×C42C22×D311yescharacteristic
937C2×C42C22×D311yescharacteristic
938#95—31no—
939#95—31no—
940#95—31no—
941#95—31no—
942#95—31no—
943#95—31no—
944#95—31no—
945#95—31no—
946#95—31no—
947#95—31no—
948#95—31no—
949#95—31no—
950#95—31no—
951#95—31no—
952#95—31no—
953#95—31no—
954#95—31no—
955#95—31no—
956#95—31no—
957#95—31no—
958#95—31no—
959#95—31no—
960#95—31no—
961#95—31no—
962#95—31no—
963#95—31no—
964#95—31no—
965#95—31no—
966#95C22×D311yescharacteristic
967#95C22×D311yescharacteristic
968#95C22×D311yescharacteristic
969#95C22×D311yescharacteristic
970C23×C3—21no—
971C23×C3—21no—
972C23×C3—21no—
973C23×C3—21no—
974C23×C3—21no—
975C23×C3—21no—
976C23×C3—21no—
977C23×C3—21no—
978C23×C3—21no—
979C23×C3—21no—
980C23×C3—21no—
981C23×C3—21no—
982C23×C3—21no—
983C23×C3—21no—
984C23×C3—21no—
985C23×C3—21no—
986C23×C3—21no—
987C23×C3—21no—
988C23×C3—21no—
989C23×C3—21no—
990C23×C3—21no—
991C23×C3—21no—
992C23×C3—21no—
993C23×C3—21no—
994C23×C3—21no—
995C23×C3—21no—
996C23×C3C2×#4112yes—
997C23×C3C2×#4112yes—
998C23×C3C2511yescharacteristic
999C22×D3—21no—
1000C22×D3—21no—
1001C22×D3—21no—
1002C22×D3—21no—
1003C22×D3—21no—
1004C22×D3—21no—
1005C22×D3—21no—
1006C22×D3—21no—
1007C22×D3—21no—
1008C22×D3—21no—
1009C22×D3—21no—
1010C22×D3—21no—
1011C22×D3—21no—
1012C22×D3—44no—
1013C22×D3—44no—
1014C22×D3—82no—
1015C22×D3—82no—
1016C22×D3—82no—
1017C22×D3—82no—
1018C22×D3—82no—
1019C22×D3C22×D412yes—
1020C3×D4—44no—
1021C3×D4—44no—
1022C3×D4—44no—
1023C3×D4—82no—
1024C3×D4—82no—
1025C3×D4—82no—
1026C2×C3×C4—21no—
1027C2×C3×C4—21no—
1028C2×C3×C4—21no—
1029C2×C3×C4—21no—
1030C2×C3×C4—21no—
1031C2×C3×C4—21no—
1032C2×C3×C4—21no—
1033C2×C3×C4—21no—
1034C2×C3×C4—21no—
1035C2×C3×C4—21no—
1036C2×C3×C4—21no—
1037C2×C3×C4—21no—
1038C2×C3×C4—21no—
1039C2×C3×C4—21no—
1040C2×C3×C4—21no—
1041C2×C3×C4—21no—
1042C2×C3×C4—21no—
1043C2×C3×C4—21no—
1044C2×C3×C4—21no—
1045C2×C3×C4—21no—
1046C2×C3×C4—21no—
1047C2×C3×C4—21no—
1048C2×C3×C4—21no—
1049C2×C3×C4—21no—
1050C2×C3×C4—21no—
1051C2×C3×C4—21no—
1052C2×C3×C4—21no—
1053C2×C3×C4—21no—
1054C2×C3×C4—21no—
1055C2×C3×C4—44no—
1056C2×C3×C4—44no—
1057C2×C3×C4C22×D412yes—
1058C2×C3×C4C22×D412yes—
1059C2×C3×C4C22×D412yes—
1060C2×C3×C4C2×#4112yes—
1061#67—44no—
1062#67—44no—
1063#67—44no—
1064#67—82no—
1065#67—82no—
1066#67—82no—
1067C2×Dic3—21no—
1068C2×Dic3—21no—
1069C2×Dic3—21no—
1070C2×Dic3—21no—
1071C2×Dic3—21no—
1072C2×Dic3—21no—
1073C2×Dic3—21no—
1074C2×Dic3—21no—
1075C2×Dic3—21no—
1076C2×Dic3—21no—
1077C2×Dic3—21no—
1078C2×Dic3—21no—
1079C2×Dic3—21no—
1080C2×Dic3—21no—
1081C2×Dic3—21no—
1082C2×Dic3—21no—
1083C2×Dic3—21no—
1084C2×Dic3—21no—
1085C2×Dic3—21no—
1086C2×Dic3—21no—
1087C2×Dic3—21no—
1088C2×Dic3—21no—
1089C2×Dic3—21no—
1090C2×Dic3—21no—
1091C2×Dic3—21no—
1092C2×Dic3—21no—
1093C2×Dic3—21no—
1094C2×Dic3—21no—
1095C2×Dic3—21no—
1096C2×Dic3—21no—
1097C2×Dic3—21no—
1098C2×Dic3—21no—
1099C2×Dic3—21no—
1100C2×Dic3—21no—
1101C2×Dic3—21no—
1102C2×Dic3—21no—
1103C2×Dic3—21no—
1104C2×Dic3—21no—
1105C2×Dic3—44no—
1106C2×Dic3—44no—
1107C2×Dic3—44no—
1108C2×Dic3—82no—
1109C2×Dic3—82no—
1110C2×Dic3C22×D412yes—
1111C2×Dic3C22×D412yes—
1112C2×Dic3C22×D412yes—
1113C2×Dic3H(5,𝔽2)12yes—
1114C4×D3—44no—
1115C4×D3—82no—
1116Dic6—44no—
1117Dic6—82no—
1118C24—31no—
1119C24—31no—
1120C24—62no—
1121C24—62no—
1122C24—121no—
1123C24—121no—
1124C24—121no—
1125C24—121no—
1126C24—121no—
1127C24C23×D311yescharacteristic
1128C24C23×D311yescharacteristic
1129C24C23×D311yescharacteristic
1130C24C23×D311yescharacteristic
1131C2×Q8—62no—
1132C2×Q8—62no—
1133C2×Q8—62no—
1134C2×Q8—121no—
1135C2×Q8—121no—
1136C2×Q8—121no—
1137C2×D4—22no—
1138C2×D4—22no—
1139C2×D4—22no—
1140C2×D4—22no—
1141C2×D4—22no—
1142C2×D4—22no—
1143C2×D4—22no—
1144C2×D4—41no—
1145C2×D4—41no—
1146C2×D4—41no—
1147C2×D4—41no—
1148C2×D4—41no—
1149C2×D4—41no—
1150C2×D4—41no—
1151C2×D4—41no—
1152C2×D4—41no—
1153C2×D4—41no—
1154C2×D4—62no—
1155C2×D4—62no—
1156C2×D4—62no—
1157C2×D4—62no—
1158C2×D4—62no—
1159C2×D4—62no—
1160C2×D4—62no—
1161C2×D4—121no—
1162C2×D4—121no—
1163C2×D4—121no—
1164C2×D4—121no—
1165C2×D4—121no—
1166C2×D4—121no—
1167C2×D4—121no—
1168C2×D4—121no—
1169C2×D4—121no—
1170C2×D4—121no—
1171C2×D4—121no—
1172C2×D4#23714yes—
1173C22×C4—22no—
1174C22×C4—22no—
1175C22×C4—22no—
1176C22×C4—22no—
1177C22×C4—31no—
1178C22×C4—31no—
1179C22×C4—31no—
1180C22×C4—31no—
1181C22×C4—34no—
1182C22×C4—31no—
1183C22×C4—31no—
1184C22×C4—31no—
1185C22×C4—31no—
1186C22×C4—31no—
1187C22×C4—31no—
1188C22×C4—31no—
1189C22×C4—31no—
1190C22×C4—31no—
1191C22×C4—31no—
1192C22×C4—41no—
1193C22×C4—41no—
1194C22×C4—62no—
1195C22×C4—62no—
1196C22×C4—62no—
1197C22×C4—62no—
1198C22×C4—62no—
1199C22×C4—62no—
1200C22×C4—62no—
1201C22×C4—121no—
1202C22×C4—121no—
1203C22×C4—121no—
1204C22×C4—121no—
1205C22×C4—121no—
1206C22×C4—121no—
1207C22×C4—121no—
1208C22×C4—121no—
1209C22×C4—121no—
1210C22×C4—121no—
1211C22×C4—121no—
1212C22×C4—121no—
1213C22×C4—121no—
1214C22×C4C23×D311yescharacteristic
1215C22×C4C23×D311yescharacteristic
1216C22×C4C23×D311yescharacteristic
1217C22×C4C23×D311yescharacteristic
1218C22×C4C23×D311yescharacteristic
1219C22×C4C23×D311yescharacteristic
1220C22×C4C23×D311yescharacteristic
1221C22×C4C23×D311yescharacteristic
1222C22×C4C23×D311yescharacteristic
1223C22×C4C23×D311yescharacteristic
1224C22×C4C23×D311yescharacteristic
1225C4⋊C4—22no—
1226C4⋊C4—22no—
1227C4⋊C4—22no—
1228C4⋊C4—34no—
1229C4⋊C4—41no—
1230C4⋊C4—41no—
1231C4⋊C4—62no—
1232C4⋊C4—62no—
1233C4⋊C4—62no—
1234C4⋊C4—62no—
1235C4⋊C4—62no—
1236C4⋊C4—62no—
1237C4⋊C4—62no—
1238C4⋊C4—62no—
1239C4⋊C4—62no—
1240C4⋊C4—62no—
1241C4⋊C4—62no—
1242C4⋊C4—62no—
1243C4⋊C4—62no—
1244C4⋊C4—62no—
1245C4⋊C4—62no—
1246C4⋊C4—121no—
1247C4⋊C4—121no—
1248C4⋊C4—121no—
1249C4⋊C4—121no—
1250C4⋊C4—121no—
1251C4⋊C4—121no—
1252C4⋊C4—121no—
1253C4⋊C4—121no—
1254C4⋊C4—121no—
1255C4⋊C4—121no—
1256C4⋊C4D3×D414yes—
1257C22⋊C4—22no—
1258C22⋊C4—22no—
1259C22⋊C4—22no—
1260C22⋊C4—22no—
1261C22⋊C4—22no—
1262C22⋊C4—22no—
1263C22⋊C4—22no—
1264C22⋊C4—22no—
1265C22⋊C4—34no—
1266C22⋊C4—34no—
1267C22⋊C4—41no—
1268C22⋊C4—41no—
1269C22⋊C4—41no—
1270C22⋊C4—41no—
1271C22⋊C4—41no—
1272C22⋊C4—41no—
1273C22⋊C4—62no—
1274C22⋊C4—62no—
1275C22⋊C4—62no—
1276C22⋊C4—62no—
1277C22⋊C4—62no—
1278C22⋊C4—62no—
1279C22⋊C4—62no—
1280C22⋊C4—62no—
1281C22⋊C4—62no—
1282C22⋊C4—62no—
1283C22⋊C4—62no—
1284C22⋊C4—62no—
1285C22⋊C4—62no—
1286C22⋊C4—62no—
1287C22⋊C4—62no—
1288C22⋊C4—62no—
1289C22⋊C4—62no—
1290C22⋊C4—62no—
1291C22⋊C4—62no—
1292C22⋊C4—62no—
1293C22⋊C4—121no—
1294C22⋊C4—121no—
1295C22⋊C4—121no—
1296C22⋊C4—121no—
1297C22⋊C4—121no—
1298C22⋊C4—121no—
1299C22⋊C4—121no—
1300C22⋊C4—121no—
1301C22⋊C4—121no—
1302C22⋊C4—121no—
1303C22⋊C4—121no—
1304C22⋊C4—121no—
1305C22⋊C4—121no—
1306C22⋊C4—121no—
1307C22⋊C4—121no—
1308C22⋊C4—121no—
1309C22⋊C4—121no—
1310C22⋊C4—121no—
1311C42—22no—
1312C42—22no—
1313C42—34no—
1314C42—34no—
1315C42—41no—
1316C42—62no—
1317C42—62no—
1318C42—62no—
1319C42—62no—
1320C42—62no—
1321C42—121no—
1322C42—121no—
1323C42—121no—
1324C22×C3—22no—
1325C22×C3—22no—
1326C22×C3—22no—
1327C22×C3—22no—
1328C22×C3—22no—
1329C22×C3—22no—
1330C22×C3—41no—
1331C22×C3—41no—
1332C22×C3—41no—
1333C22×C3—41no—
1334C22×C3—41no—
1335C22×C3—41no—
1336C22×C3—41no—
1337C22×C3—41no—
1338C22×C3—41no—
1339C22×C3—41no—
1340C22×C3—41no—
1341C22×C3—41no—
1342C22×C3—41no—
1343C22×C3—41no—
1344C22×C3—41no—
1345C22×C3—41no—
1346C22×C3—41no—
1347C22×C3—41no—
1348C22×C3—41no—
1349C22×C3—41no—
1350C22×C3—41no—
1351C22×C3—41no—
1352C22×C3C23×D411yescharacteristic
1353C22×C3C22×#4111yescharacteristic
1354C22×C3C2×H(5,𝔽2)11yescharacteristic
1355C22×C3#58511yescharacteristic
1356C22×C3#58511yescharacteristic
1357C22×C3#58511yescharacteristic
1358C22×C3#58511yescharacteristic
1359C2×D3—22no—
1360C2×D3—22no—
1361C2×D3—22no—
1362C2×D3—41no—
1363C2×D3—41no—
1364C2×D3—41no—
1365C2×D3—41no—
1366C2×D3—41no—
1367C2×D3—41no—
1368C2×D3—41no—
1369C2×D3—41no—
1370C2×D3—41no—
1371C2×D3—41no—
1372C2×D3—41no—
1373C2×D3—88no—
1374C3×C4—22no—
1375C3×C4—22no—
1376C3×C4—22no—
1377C3×C4—22no—
1378C3×C4—41no—
1379C3×C4—41no—
1380C3×C4—41no—
1381C3×C4—41no—
1382C3×C4—41no—
1383C3×C4—41no—
1384C3×C4—41no—
1385Dic3—22no—
1386Dic3—22no—
1387Dic3—22no—
1388Dic3—22no—
1389Dic3—41no—
1390Dic3—41no—
1391Dic3—41no—
1392Dic3—41no—
1393Dic3—41no—
1394Dic3—41no—
1395Dic3—41no—
1396Dic3—41no—
1397Dic3—41no—
1398Dic3—41no—
1399C23—21no—
1400C23—21no—
1401C23—21no—
1402C23—21no—
1403C23—21no—
1404C23—21no—
1405C23—21no—
1406C23—21no—
1407C23—21no—
1408C23—21no—
1409C23—21no—
1410C23—21no—
1411C23—21no—
1412C23—21no—
1413C23—21no—
1414C23—21no—
1415C23—21no—
1416C23—21no—
1417C23—21no—
1418C23—21no—
1419C23—21no—
1420C23—21no—
1421C23—21no—
1422C23—21no—
1423C23—21no—
1424C23—21no—
1425C23—32no—
1426C23—61no—
1427C23—61no—
1428C23—61no—
1429C23—61no—
1430C23—61no—
1431C23—61no—
1432C23—61no—
1433C23—61no—
1434C23—61no—
1435C23—61no—
1436C23—61no—
1437C23—61no—
1438C23—61no—
1439C23—124no—
1440C23—124no—
1441C23—242no—
1442C23—242no—
1443C23—242no—
1444C23—242no—
1445C23—242no—
1446C23C2×#23712yes—
1447C23C2×#23712yes—
1448C23C24×D311yescharacteristic
1449Q8—124no—
1450Q8—242no—
1451D4—44no—
1452D4—44no—
1453D4—44no—
1454D4—82no—
1455D4—82no—
1456D4—82no—
1457D4—124no—
1458D4—124no—
1459D4—124no—
1460D4—242no—
1461D4—242no—
1462D4—242no—
1463C2×C4—21no—
1464C2×C4—21no—
1465C2×C4—21no—
1466C2×C4—21no—
1467C2×C4—21no—
1468C2×C4—21no—
1469C2×C4—21no—
1470C2×C4—21no—
1471C2×C4—21no—
1472C2×C4—21no—
1473C2×C4—21no—
1474C2×C4—21no—
1475C2×C4—21no—
1476C2×C4—21no—
1477C2×C4—21no—
1478C2×C4—21no—
1479C2×C4—21no—
1480C2×C4—21no—
1481C2×C4—21no—
1482C2×C4—21no—
1483C2×C4—21no—
1484C2×C4—21no—
1485C2×C4—21no—
1486C2×C4—21no—
1487C2×C4—21no—
1488C2×C4—21no—
1489C2×C4—21no—
1490C2×C4—21no—
1491C2×C4—21no—
1492C2×C4—32no—
1493C2×C4—32no—
1494C2×C4—32no—
1495C2×C4—32no—
1496C2×C4—44no—
1497C2×C4—44no—
1498C2×C4—61no—
1499C2×C4—61no—
1500C2×C4—61no—
1501C2×C4—61no—
1502C2×C4—61no—
1503C2×C4—61no—
1504C2×C4—61no—
1505C2×C4—61no—
1506C2×C4—61no—
1507C2×C4—61no—
1508C2×C4—61no—
1509C2×C4—61no—
1510C2×C4—61no—
1511C2×C4—61no—
1512C2×C4—61no—
1513C2×C4—61no—
1514C2×C4—61no—
1515C2×C4—61no—
1516C2×C4—61no—
1517C2×C4—61no—
1518C2×C4—61no—
1519C2×C4—61no—
1520C2×C4—61no—
1521C2×C4—61no—
1522C2×C4—61no—
1523C2×C4—61no—
1524C2×C4—61no—
1525C2×C4—61no—
1526C2×C4—61no—
1527C2×C4—61no—
1528C2×C4—61no—
1529C2×C4—61no—
1530C2×C4—61no—
1531C2×C4—61no—
1532C2×C4—61no—
1533C2×C4—61no—
1534C2×C4—61no—
1535C2×C4—61no—
1536C2×C4—124no—
1537C2×C4—124no—
1538C2×C4—124no—
1539C2×C4—124no—
1540C2×C4—242no—
1541C2×C4—242no—
1542C2×C4—242no—
1543C2×C4C2×D3×D412yes—
1544C2×C4C2×D3×D412yes—
1545C2×C4C2×D3×D412yes—
1546C2×C4C2×#23712yes—
1547C2×C3—42no—
1548C2×C3—42no—
1549C2×C3—81no—
1550C2×C3—81no—
1551C2×C3#344911yescharacteristic
1552C2×C3D4×#4111yescharacteristic
1553C2×C3#348811yescharacteristic
1554C2×C3#349111yescharacteristic
1555C2×C3#351411yescharacteristic
1556C2×C3#355111yescharacteristic
1557C2×C3#356611yescharacteristic
1558D3—42no—
1559D3—81no—
1560C22—22no—
1561C22—22no—
1562C22—22no—
1563C22—22no—
1564C22—22no—
1565C22—22no—
1566C22—41no—
1567C22—41no—
1568C22—41no—
1569C22—41no—
1570C22—41no—
1571C22—41no—
1572C22—41no—
1573C22—41no—
1574C22—41no—
1575C22—41no—
1576C22—41no—
1577C22—41no—
1578C22—41no—
1579C22—41no—
1580C22—41no—
1581C22—41no—
1582C22—41no—
1583C22—41no—
1584C22—41no—
1585C22—41no—
1586C22—41no—
1587C22—41no—
1588C22—62no—
1589C22—62no—
1590C22—62no—
1591C22—121no—
1592C22—121no—
1593C22—121no—
1594C22—121no—
1595C22—121no—
1596C22—121no—
1597C22—121no—
1598C22—121no—
1599C22—121no—
1600C22—121no—
1601C22—121no—
1602C22—248no—
1603C22C22×D3×D411yescharacteristic
1604C22C22×#23711yescharacteristic
1605C22#596411yescharacteristic
1606C22#596411yescharacteristic
1607C22#596411yescharacteristic
1608C22D3×H(5,𝔽2)11yescharacteristic
1609C22#596611yescharacteristic
1610C4—22no—
1611C4—22no—
1612C4—22no—
1613C4—22no—
1614C4—41no—
1615C4—41no—
1616C4—41no—
1617C4—41no—
1618C4—41no—
1619C4—41no—
1620C4—41no—
1621C4—62no—
1622C4—62no—
1623C4—62no—
1624C4—62no—
1625C4—121no—
1626C4—121no—
1627C4—121no—
1628C4—121no—
1629C4—121no—
1630C4—121no—
1631C4—121no—
1632C4—121no—
1633C4—121no—
1634C4—121no—
1635C3#3838611yescharacteristic, complemented, Sylow
1636C2—42no—
1637C2—42no—
1638C2—81no—
1639C2—81no—
1640C2—122no—
1641C2—241no—
1642C2#8600111yescharacteristic
1643C2#8623511yescharacteristic
1644C2#8647711yescharacteristic
1645C2D4×#23711yescharacteristic
1646C2#8663711yescharacteristic
1647C2#8676911yescharacteristic
1648C2#8706111yescharacteristic
subgroupG/H
center, FrattiniC23C24×D3
commutator, socle, cosocleC23×C3C25
FittingC3×#2445C2
prime radical#83190C2
hypercenter#2445D3
hypocenterC3#38386
LCSG ▷ C23×C3 ▷ C3
UCSC1 ◁ C23 ◁ #2445

Complements

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

NH ≅ G/Ntype
1. C2×#5658C2semidirect
2. C2×#5649C2semidirect
3. C3×#2445C2semidirect
5. #83172C2semidirect
6. #82863C2semidirect
7. #82861C2semidirect
8. #82404C2semidirect
9. #82318C2semidirect
10. #77144C2semidirect
11. #77139C2semidirect
12. #77119C2semidirect
13. #77022C2semidirect
14. #77006C2semidirect
15. #76982C2semidirect
16. #76974C2semidirect
17. #76943C2semidirect
18. #76429C2semidirect
19. #76388C2semidirect
20. #76380C2semidirect
21. #76372C2semidirect
22. #76370C2semidirect
23. #76327C2semidirect
24. #76264C2semidirect
25. #76097C2semidirect
26. #74869C2semidirect
27. #74779C2semidirect
28. #74727C2semidirect
29. #74713C2semidirect
30. #73698C2semidirect
31. #73633C2semidirect
35. C2×C3×#123C22semidirect
43. C2×D4×Dic3C22semidirect
47. C22×C4×Dic3C22semidirect
55. C2×#889C22semidirect
56. C2×#887C22semidirect
66. C2×#879C22semidirect
69. C2×#878C22semidirect
70. C2×#878C22semidirect
71. C2×#878C22semidirect
72. C2×#877C22semidirect
75. C3×#394C22semidirect
76. C3×#394C22semidirect
78. C3×#390C22semidirect
79. C3×#390C22semidirect
80. C3×#389C22semidirect
82. C3×#386C22semidirect
83. C3×C4×C4⋊C4C22semidirect
91. #5221C22semidirect
97. #5220C22semidirect
98. #5220C22semidirect
99. #5220C22semidirect
100. #5220C22semidirect
104. C4×#217C22semidirect
112. #4986C22semidirect
113. #4981C22semidirect
114. #4981C22semidirect
115. #4980C22semidirect
116. #4980C22semidirect
117. #4979C22semidirect
118. #4979C22semidirect
119. #4976C22semidirect
120. Dic3×C4⋊C4C22semidirect
121. #4972C22semidirect
140. #4951C22semidirect
141. #4950C22semidirect
142. #4950C22semidirect
143. #4950C22semidirect
146. #4948C22semidirect
147. #4948C22semidirect
148. #4948C22semidirect
149. #4948C22semidirect
150. #4948C22semidirect
151. #4947C22semidirect
154. #4945C22semidirect
155. #4945C22semidirect
156. #4945C22semidirect
157. #4945C22semidirect
158. #4944C22semidirect
159. #4944C22semidirect
161. #4942C22semidirect
168. #4936C22semidirect
169. C4×C4⋊Dic3C22semidirect
170. #4932C22semidirect
171. #4932C22semidirect
172. #4928C22semidirect
173. #4928C22semidirect
182. #4661C22semidirect
183. #4658C22semidirect
184. #4657C22semidirect
185. #4655C22semidirect
186. #4653C22semidirect
187. #4650C22semidirect
188. #4650C22semidirect
189. #4646C22semidirect
215. #2445D3semidirect
363. #892D4semidirect
429. C2×#123C2×D3semidirect
486. #394C2×D3semidirect
487. #394C2×D3semidirect
501. #390C2×D3semidirect
502. #390C2×D3semidirect
507. #389C2×D3semidirect
548. #386C2×D3semidirect
565. C4×C4⋊C4C2×D3semidirect
1635. C3#38386semidirect

Maximal subgroups

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

subgroupindex
C2×#56582
C2×#56492
C3×#24452
#831902
#831722
#828632
#828612
#824042
#823182
#771442
#771392
#771192
#770222
#770062
#769822
#769742
#769432
#764292
#763882
#763802
#763722
#763702
#763272
#762642
#760972
#748692
#747792
#747272
#747132
#736982
#736332
#383863