Finite Group Databasebeta

← #11043293

Subgroups — #11043293

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×#5705C211yesmaximal, characteristic, complemented
2C2×#5538C211yesmaximal, characteristic, complemented
3C3×#2636C211yesmaximal, characteristic, complemented
4#83088C211yesmaximal, characteristic, complemented
5#82329C211yesmaximal, characteristic, complemented
6#78369C211yesmaximal, characteristic, complemented
7#78178C211yesmaximal, characteristic, complemented
8#78116C211yesmaximal, characteristic, complemented
9#78033C211yesmaximal, characteristic, complemented
10#77440C211yesmaximal, characteristic, complemented
11#77433C211yesmaximal, characteristic, complemented
12#77295C211yesmaximal, characteristic, complemented
13#77293C211yesmaximal, characteristic, complemented
14#77139C211yesmaximal, characteristic, complemented
15#77139C211yesmaximal, characteristic, complemented
16#77112C211yesmaximal, characteristic, complemented
17#77024C211yesmaximal, characteristic, complemented
18#76925C211yesmaximal, characteristic, complemented
19#76907C211yesmaximal, characteristic, complemented
20#76764C211yesmaximal, characteristic
21#76689C211yesmaximal, characteristic, complemented
22#74901C211yesmaximal, characteristic, complemented
23#74876C211yesmaximal, characteristic, complemented
24#74869C211yesmaximal, characteristic, complemented
25#74780C211yesmaximal, characteristic, complemented
26#74622C211yesmaximal, characteristic, complemented
27#74618C211yesmaximal, characteristic, complemented
28#74500C211yesmaximal, characteristic, complemented
29#74377C211yesmaximal, characteristic, complemented
30#74240C211yesmaximal, characteristic, complemented
31#74156C211yesmaximal, characteristic, complemented
32#38386—31nomaximal, Sylow
33C2×C3×#126C2211yescharacteristic
34C2×C3×C4×D4C2211yescharacteristic, complemented
35C2×#940C2211yescharacteristic
36C2×#939C2211yescharacteristic
37C2×#939C2211yescharacteristic
38C2×#937C2211yescharacteristic
39C2×#937C2211yescharacteristic
40C2×#935C2211yescharacteristic, complemented
41C2×C4×#67C2211yescharacteristic
42C2×C4×#67C2211yescharacteristic
43C2×#926C2211yescharacteristic, complemented
44C22×C4×Dic3C2211yescharacteristic, complemented
45#5705—28no—
46#5538—28no—
47C2×#898C2211yescharacteristic
48C2×#897C2211yescharacteristic
49C2×#897C2211yescharacteristic
50C2×#897C2211yescharacteristic, complemented
51C2×#896C2211yescharacteristic
52C2×#894C2211yescharacteristic
53C2×#894C2211yescharacteristic
54C2×#893C2211yescharacteristic
55C2×#892C2211yescharacteristic
56C2×#889C2211yescharacteristic, complemented
57C2×#886C2211yescharacteristic
58C2×#885C2211yescharacteristic
59C2×#885C2211yescharacteristic
60C2×#883C2211yescharacteristic
61C2×#883C2211yescharacteristic
62C2×#882C2211yescharacteristic
63C2×#67⋊C4C2211yescharacteristic
64C2×D3×C22⋊C4C2211yescharacteristic
65C2×D3×C22⋊C4C2211yescharacteristic
66C2×#879C2211yescharacteristic
67C2×#879C2211yescharacteristic, complemented
68C2×#878C2211yescharacteristic, complemented
69C2×#878C2211yescharacteristic, complemented
70C2×C4×D12C2211yescharacteristic
71C2×#872C2211yescharacteristic
72C2×C4×Dic6C2211yescharacteristic, complemented
73C3×#400C2211yescharacteristic, complemented
74C3×#399C2211yescharacteristic
75C3×#396C2211yescharacteristic, complemented
76C3×#396C2211yescharacteristic, complemented
77C3×#394C2211yescharacteristic
78C3×#394C2211yescharacteristic
79C3×#394C2211yescharacteristic, complemented
80C3×#392C2211yescharacteristic
81C3×#386C2211yescharacteristic
82C3×#386C2211yescharacteristic
83C3×#385C2211yescharacteristic, complemented
84C3×#385C2211yescharacteristic, complemented
85C3×#382C2211yescharacteristic, complemented
86#5223C2211yescharacteristic
87#5222C2211yescharacteristic
88#5221C2211yescharacteristic
89#5221C2211yescharacteristic
90#5221C2211yescharacteristic, complemented
91#5220C2211yescharacteristic
92#5213C2211yescharacteristic
93#5213C2211yescharacteristic
94#5213C2211yescharacteristic, complemented
95#5213C2211yescharacteristic, complemented
96#4994C2211yescharacteristic
97#4991C2211yescharacteristic
98#4991C2211yescharacteristic
99#4990C2211yescharacteristic
100#4990C2211yescharacteristic
101#4990C2211yescharacteristic
102#4988C2211yescharacteristic
103#4987C2211yescharacteristic
104#4987C2211yescharacteristic, complemented
105#4986C2211yescharacteristic, complemented
106#4983C2211yescharacteristic, complemented
107#4980C2211yescharacteristic, complemented
108#4979C2211yescharacteristic, complemented
109#4978C2211yescharacteristic, complemented
110#4978C2211yescharacteristic, complemented
111#4977C2211yescharacteristic, complemented
112#4976C2211yescharacteristic, complemented
113#4976C2211yescharacteristic, complemented
114#4976C2211yescharacteristic, complemented
115#4976C2211yescharacteristic, complemented
116Dic3×C4⋊C4C2211yescharacteristic, complemented
117#4972C2211yescharacteristic, complemented
118#4961C2211yescharacteristic
119#4961C2211yescharacteristic
120#4960C2211yescharacteristic
121#4960C2211yescharacteristic
122#4959C2211yescharacteristic
123#4959C2211yescharacteristic
124#4959C2211yescharacteristic
125#4959C2211yescharacteristic, complemented
126#4958C2211yescharacteristic
127#4958C2211yescharacteristic, complemented
128#4957C2211yescharacteristic
129#4957C2211yescharacteristic
130#4957C2211yescharacteristic, complemented
131#4957C2211yescharacteristic, complemented
132#4956C2211yescharacteristic
133#4956C2211yescharacteristic
134#4956C2211yescharacteristic
135#4956C2211yescharacteristic
136#4956C2211yescharacteristic, complemented
137#4956C2211yescharacteristic, complemented
138#4955C2211yescharacteristic
139#4955C2211yescharacteristic
140#4951C2211yescharacteristic
141#4951C2211yescharacteristic
142#4951C2211yescharacteristic, complemented
143#4950C2211yescharacteristic, complemented
144#4949C2211yescharacteristic
145#4948C2211yescharacteristic
146#4948C2211yescharacteristic, complemented
147#4948C2211yescharacteristic, complemented
148#4947C2211yescharacteristic
149#4947C2211yescharacteristic, complemented
150#4945C2211yescharacteristic
151#4945C2211yescharacteristic
152#4944C2211yescharacteristic
153#4944C2211yescharacteristic
154#4944C2211yescharacteristic
155#4944C2211yescharacteristic, complemented
156Dic3×C22⋊C4C2211yescharacteristic, complemented
157#4932C2211yescharacteristic, complemented
158#4676C2211yescharacteristic
159#4676C2211yescharacteristic, complemented
160#4675C2211yescharacteristic
161#4674C2211yescharacteristic
162#4672C2211yescharacteristic
163#4672C2211yescharacteristic
164#4670C2211yescharacteristic
165#4670C2211yescharacteristic
166#4670C2211yescharacteristic, complemented
167#4670C2211yescharacteristic, complemented
168#4670C2211yescharacteristic, complemented
169#4669C2211yescharacteristic
170#4669C2211yescharacteristic
171#4669C2211yescharacteristic
172#4669C2211yescharacteristic, complemented
173#4669C2211yescharacteristic, complemented
174#4668C2211yescharacteristic
175#4668C2211yescharacteristic
176#4667C2211yescharacteristic
177#4666C2211yescharacteristic
178#4666C2211yescharacteristic
179#4664C2211yescharacteristic
180#4661C2211yescharacteristic, complemented
181#4661C2211yescharacteristic, complemented
182#4661C2211yescharacteristic, complemented
183#4656C2211yescharacteristic, complemented
184#4655C2211yescharacteristic, complemented
185#4650C2211yescharacteristic, complemented
186#4649C2211yescharacteristic, complemented
187#4649C2211yescharacteristic, complemented
188#4648C2211yescharacteristic, 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#2636D311yescharacteristic, complemented
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#2445—31no—
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
225C23×C3×C4C2311yescharacteristic
226C23×C3×C4C2311yescharacteristic
227C22×#67C2311yescharacteristic
228C22×#67C2311yescharacteristic
229C22×#67C2311yescharacteristic
230C22×#67C2311yescharacteristic
231C22×#67C2311yescharacteristic
232C22×#67C2311yescharacteristic
233C22×#67C2311yescharacteristic
234C23×Dic3C2311yescharacteristic
235C23×Dic3C2311yescharacteristic
236C22×D12C2311yescharacteristic
237C22×D12C2311yescharacteristic
238C22×C4×D3C2311yescharacteristic
239C22×C4×D3C2311yescharacteristic
240C22×C4×D3C2311yescharacteristic
241C22×C4×D3C2311yescharacteristic
242C22×C4×D3C2311yescharacteristic
243C22×Dic6C2311yescharacteristic
244C22×Dic6C2311yescharacteristic
245C3×#126—24no—
246C3×C4×D4—24no—
247C2×C3×C4⋊C4C2311yescharacteristic
248C2×C3×C4⋊C4C2311yescharacteristic
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×C42C2311yescharacteristic
269C2×#217C2311yescharacteristic
270C2×#217C2311yescharacteristic
271C2×#217C2311yescharacteristic
272C2×#217C2311yescharacteristic
273C2×#217C2311yescharacteristic
274C2×#217C2311yescharacteristic
275C2×#217C2311yescharacteristic
276C2×#217C2311yescharacteristic
277C2×#217C2311yescharacteristic
278C2×#217C2311yescharacteristic
279C2×#217C2311yescharacteristic
280C2×#217C2311yescharacteristic
281C2×#217C2311yescharacteristic
282C2×#217C2311yescharacteristic
283#940—24no—
284#939—24no—
285#939—42no—
286#937—24no—
287#937—42no—
288#935—24no—
289C4×#67—24no—
290C4×#67—24no—
291C2×(C2×D3)⋊C4C2311yescharacteristic
292C2×(C2×D3)⋊C4C2311yescharacteristic
293C2×(C2×D3)⋊C4C2311yescharacteristic
294C2×(C2×D3)⋊C4C2311yescharacteristic
295C2×(C2×D3)⋊C4C2311yescharacteristic
296C2×(C2×D3)⋊C4C2311yescharacteristic
297C2×(C2×D3)⋊C4C2311yescharacteristic
298C2×(C2×D3)⋊C4C2311yescharacteristic
299C2×(C2×D3)⋊C4C2311yescharacteristic
300C2×(C2×D3)⋊C4C2311yescharacteristic
301C2×(C2×D3)⋊C4C2311yescharacteristic
302C2×(C2×D3)⋊C4C2311yescharacteristic
303C2×(C2×D3)⋊C4C2311yescharacteristic
304C2×(C2×D3)⋊C4C2311yescharacteristic
305C2×(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
318#926—24no—
319C2×C4⋊Dic3C2311yescharacteristic
320C2×C4⋊Dic3C2311yescharacteristic
321C2×C4⋊Dic3C2311yescharacteristic
322C2×C4⋊Dic3C2311yescharacteristic
323C2×C4⋊Dic3C2311yescharacteristic
324C2×C4⋊Dic3C2311yescharacteristic
325C2×C4⋊Dic3C2311yescharacteristic
326C2×C4⋊Dic3C2311yescharacteristic
327C2×C4⋊Dic3C2311yescharacteristic
328C2×Dic3⋊C4C2311yescharacteristic
329C2×Dic3⋊C4C2311yescharacteristic
330C2×Dic3⋊C4C2311yescharacteristic
331C2×Dic3⋊C4C2311yescharacteristic
332C2×Dic3⋊C4C2311yescharacteristic
333C2×Dic3⋊C4C2311yescharacteristic
334C2×Dic3⋊C4C2311yescharacteristic
335C2×Dic3⋊C4C2311yescharacteristic
336C2×Dic3⋊C4C2311yescharacteristic
337C2×Dic3⋊C4C2311yescharacteristic
338C2×Dic3⋊C4C2311yescharacteristic
339C2×Dic3⋊C4C2311yescharacteristic
340C2×Dic3⋊C4C2311yescharacteristic
341C2×Dic3⋊C4C2311yescharacteristic
342C2×Dic3⋊C4C2311yescharacteristic
343C2×C4×Dic3—24no—
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
353C2×C4×Dic3C2311yescharacteristic
354C2×C4×Dic3C2311yescharacteristic
355C2×C4×Dic3C2311yescharacteristic
356#898—24no—
357#897—24no—
358#897—42no—
359#897—42no—
360#896—24no—
361#894—24no—
362#894—24no—
363#893—24no—
364#892—24no—
365#889—24no—
366#886—24no—
367#885—24no—
368#885—24no—
369#883—24no—
370#883—42no—
371#882—24no—
372#67⋊C4—24no—
373D3×C22⋊C4—24no—
374D3×C22⋊C4—24no—
375#879—24no—
376#879—24no—
377#878—24no—
378#878—42no—
379C4×D12—24no—
380#872D418yescomplemented
381C4×Dic6—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×#127—31no—
416#529—68no—
417C2×#126—31no—
418C2×#126—31no—
419C2×#126—31no—
420C2×#126C2×D311yescharacteristic
421C2×#125—31no—
422C2×#124—31no—
423C2×#124—31no—
424C2×#123—31no—
425C2×#123—31no—
426C2×#123—31no—
427C2×#123—31no—
428C2×#123—31no—
429C2×#123—31no—
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, complemented
448C2×#117—31no—
449C2×#117—31no—
450C2×#117—31no—
451C22×C22⋊C4—31no—
452C22×C22⋊C4—31no—
453C22×C42—31no—
454#400—31no—
455#400C2×D311yescharacteristic, complemented
456#399—31no—
457#399C2×D311yescharacteristic
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#396C2×D311yescharacteristic, complemented
471#396C2×D311yescharacteristic, complemented
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#394—31no—
485#394C2×D311yescharacteristic
486#394C2×D311yescharacteristic
487#394C2×D311yescharacteristic, complemented
488#393—31no—
489#393—31no—
490#392—31no—
491#392—31no—
492#392—31no—
493#392C2×D311yescharacteristic
494#391—31no—
495#390—31no—
496#390—31no—
497#390—31no—
498#390—31no—
499#390—31no—
500#390—31no—
501#390—31no—
502#390—31no—
503#389—31no—
504#389—31no—
505#389—31no—
506#389—31no—
507#389—31no—
508#388—31no—
509#388—31no—
510#388—31no—
511#388—31no—
512#388—31no—
513#388—31no—
514#388—31no—
515#388—31no—
516#388—31no—
517#388—31no—
518#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
549#385—31no—
550#385—31no—
551#385—31no—
552#385C2×D311yescharacteristic, complemented
553#385C2×D311yescharacteristic, complemented
554#382—31no—
555#382—31no—
556#382C2×D311yescharacteristic, complemented
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⋊C4—31no—
566C4×C22⋊C4—31no—
567C4×C22⋊C4—31no—
568C4×C22⋊C4—31no—
569#376—31no—
570#376—31no—
571C24×C3C2411yescharacteristic
572C24×C3C2411yescharacteristic
573C24×C3C2411yescharacteristic
574C23×D3—22no—
575C23×D3—22no—
576C23×D3—41no—
577C23×D3—41no—
578C23×D3—41no—
579C23×D3—41no—
580C23×D3—41no—
581C23×D3C2411yescharacteristic
582C23×D3C2411yescharacteristic
583C23×D3C2411yescharacteristic
584C2×C3×D4—22no—
585C2×C3×D4—22no—
586C2×C3×D4—22no—
587C2×C3×D4—41no—
588C2×C3×D4—41no—
589C2×C3×D4—41no—
590C2×C3×D4—41no—
591C2×C3×D4—41no—
592C2×C3×D4—41no—
593C22×C3×C4—22no—
594C22×C3×C4—22no—
595C22×C3×C4—41no—
596C22×C3×C4—41no—
597C22×C3×C4—41no—
598C22×C3×C4—41no—
599C22×C3×C4C2411yescharacteristic
600C22×C3×C4C2411yescharacteristic
601C22×C3×C4C2411yescharacteristic
602C22×C3×C4C2411yescharacteristic
603C22×C3×C4C2411yescharacteristic
604C22×C3×C4C2411yescharacteristic
605C22×C3×C4C2411yescharacteristic
606C22×C3×C4C2411yescharacteristic
607C22×C3×C4C2411yescharacteristic
608C22×C3×C4C2411yescharacteristic
609C22×C3×C4C2411yescharacteristic
610C22×C3×C4C2411yescharacteristic
611C2×#67—22no—
612C2×#67—22no—
613C2×#67—22no—
614C2×#67—22no—
615C2×#67—22no—
616C2×#67—22no—
617C2×#67—22no—
618C2×#67—22no—
619C2×#67—41no—
620C2×#67—41no—
621C2×#67—41no—
622C2×#67—41no—
623C2×#67—41no—
624C2×#67—41no—
625C2×#67—41no—
626C2×#67—41no—
627C2×#67—41no—
628C2×#67—41no—
629C2×#67—41no—
630C2×#67—41no—
631C2×#67#4114yes—
632C22×Dic3—22no—
633C22×Dic3—22no—
634C22×Dic3—22no—
635C22×Dic3—22no—
636C22×Dic3—41no—
637C22×Dic3—41no—
638C22×Dic3C2411yescharacteristic
639C22×Dic3C2411yescharacteristic
640C22×Dic3C2411yescharacteristic
641C22×Dic3C2411yescharacteristic
642C22×Dic3C2411yescharacteristic
643C22×Dic3C2411yescharacteristic
644C22×Dic3C2411yescharacteristic
645C22×Dic3C2411yescharacteristic
646C22×Dic3C2411yescharacteristic
647C22×Dic3C2411yescharacteristic
648C22×Dic3C2411yescharacteristic
649C22×Dic3C2411yescharacteristic
650C22×Dic3C2411yescharacteristic
651C2×D12—22no—
652C2×D12—22no—
653C2×D12—22no—
654C2×D12—41no—
655C2×D12—41no—
656C2×D12—41no—
657C2×C4×D3—22no—
658C2×C4×D3—22no—
659C2×C4×D3—22no—
660C2×C4×D3—22no—
661C2×C4×D3—22no—
662C2×C4×D3—41no—
663C2×C4×D3—41no—
664C2×C4×D3—41no—
665C2×C4×D3—41no—
666C2×C4×D3—41no—
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—22no—
682C3×C4⋊C4—41no—
683C3×C4⋊C4—41no—
684C3×C4⋊C4—41no—
685C3×C4⋊C4—41no—
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×C22⋊C4—41no—
699C3×C42C2×D414yes—
700#217—22no—
701#217—22no—
702#217—22no—
703#217—22no—
704#217—22no—
705#217—22no—
706#217—22no—
707#217—22no—
708#217—41no—
709#217—41no—
710#217—41no—
711#217—41no—
712#217—41no—
713#217—41no—
714(C2×D3)⋊C4—22no—
715(C2×D3)⋊C4—22no—
716(C2×D3)⋊C4—22no—
717(C2×D3)⋊C4—22no—
718(C2×D3)⋊C4—22no—
719(C2×D3)⋊C4—22no—
720(C2×D3)⋊C4—22no—
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—41no—
729(C2×D3)⋊C4—41no—
730(C2×D3)⋊C4—41no—
731(C2×D3)⋊C4—41no—
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—22no—
748C4⋊Dic3—41no—
749C4⋊Dic3—41no—
750Dic3⋊C4—22no—
751Dic3⋊C4—22no—
752Dic3⋊C4—22no—
753Dic3⋊C4—22no—
754Dic3⋊C4—22no—
755Dic3⋊C4—22no—
756Dic3⋊C4—22no—
757Dic3⋊C4—41no—
758Dic3⋊C4—41no—
759Dic3⋊C4—41no—
760Dic3⋊C4—41no—
761Dic3⋊C4—41no—
762Dic3⋊C4—41no—
763Dic3⋊C4C2×D414yes—
764Dic3⋊C4C2×D414yes—
765C4×Dic3—22no—
766C4×Dic3—22no—
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×Dic3—41no—
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×D4—31no—
787C22×D4—31no—
788C22×D4—31no—
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—64no—
802#126—24no—
803#126—64no—
804#126—64no—
805#126—64no—
806#125—64no—
807#124—64no—
808#124—64no—
809#123—64no—
810#123—64no—
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⋊C4C22×D311yescharacteristic
861C2×C4⋊C4C22×D311yescharacteristic
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—31no—
909C2×C22⋊C4—64no—
910C2×C22⋊C4—64no—
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—31no—
935C2×C42—31no—
936C2×C42—64no—
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#95C22×D311yescharacteristic
963#95C22×D311yescharacteristic
964#95C22×D311yescharacteristic
965#95C22×D311yescharacteristic
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×C3C2×#4112yes—
991C23×C3C2511yescharacteristic
992C22×D3—21no—
993C22×D3—21no—
994C22×D3—21no—
995C22×D3—21no—
996C22×D3—21no—
997C22×D3—21no—
998C22×D3—21no—
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—44no—
1012C22×D3—44no—
1013C22×D3—82no—
1014C22×D3—82no—
1015C22×D3—82no—
1016C22×D3—82no—
1017C22×D3—82no—
1018C22×D3C22×D412yes—
1019C22×D3C2×#4112yes—
1020C3×D4—44no—
1021C3×D4—82no—
1022C3×D4—82no—
1023C2×C3×C4—21no—
1024C2×C3×C4—21no—
1025C2×C3×C4—21no—
1026C2×C3×C4—21no—
1027C2×C3×C4—21no—
1028C2×C3×C4—21no—
1029C2×C3×C4—21no—
1030C2×C3×C4—21no—
1031C2×C3×C4—21no—
1032C2×C3×C4—21no—
1033C2×C3×C4—21no—
1034C2×C3×C4—21no—
1035C2×C3×C4—21no—
1036C2×C3×C4—21no—
1037C2×C3×C4—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—21no—
1056C2×C3×C4—44no—
1057C2×C3×C4—44no—
1058C2×C3×C4C22×D412yes—
1059C2×C3×C4C22×D412yes—
1060C2×C3×C4C22×D412yes—
1061#67—44no—
1062#67—44no—
1063#67—44no—
1064#67—82no—
1065#67—82no—
1066#67—82no—
1067#67—82no—
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—44no—
1103C2×Dic3—44no—
1104C2×Dic3C22×D412yes—
1105C2×Dic3C22×D412yes—
1106C2×Dic3C22×D412yes—
1107C2×Dic3C2×#4112yes—
1108C2×Dic3H(5,𝔽2)12yes—
1109D12—44no—
1110D12—44no—
1111C4×D3—44no—
1112C4×D3—44no—
1113C4×D3—82no—
1114C4×D3—82no—
1115C4×D3—82no—
1116Dic6—44no—
1117Dic6—82no—
1118C24—31no—
1119C24—31no—
1120C24—31no—
1121C24—62no—
1122C24—62no—
1123C24—121no—
1124C24—121no—
1125C24—121no—
1126C24—121no—
1127C24—121no—
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—34no—
1141C2×D4—41no—
1142C2×D4—41no—
1143C2×D4—41no—
1144C2×D4—41no—
1145C2×D4—41no—
1146C2×D4—41no—
1147C2×D4—62no—
1148C2×D4—62no—
1149C2×D4—62no—
1150C2×D4—62no—
1151C2×D4—62no—
1152C2×D4—62no—
1153C2×D4—62no—
1154C2×D4—62no—
1155C2×D4—62no—
1156C2×D4—62no—
1157C2×D4—62no—
1158C2×D4—121no—
1159C2×D4—121no—
1160C2×D4—121no—
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—121no—
1173C22×C4—22no—
1174C22×C4—22no—
1175C22×C4—31no—
1176C22×C4—31no—
1177C22×C4—31no—
1178C22×C4—31no—
1179C22×C4—31no—
1180C22×C4—34no—
1181C22×C4—31no—
1182C22×C4—31no—
1183C22×C4—31no—
1184C22×C4—31no—
1185C22×C4—31no—
1186C22×C4—31no—
1187C22×C4—31no—
1188C22×C4—31no—
1189C22×C4—41no—
1190C22×C4—41no—
1191C22×C4—41no—
1192C22×C4—41no—
1193C22×C4—62no—
1194C22×C4—62no—
1195C22×C4—62no—
1196C22×C4—62no—
1197C22×C4—62no—
1198C22×C4—62no—
1199C22×C4—62no—
1200C22×C4—62no—
1201C22×C4—62no—
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×C4C23×D311yescharacteristic
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—22no—
1229C4⋊C4—34no—
1230C4⋊C4—34no—
1231C4⋊C4—41no—
1232C4⋊C4—41no—
1233C4⋊C4—41no—
1234C4⋊C4—41no—
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—62no—
1247C4⋊C4—62no—
1248C4⋊C4—62no—
1249C4⋊C4—121no—
1250C4⋊C4—121no—
1251C4⋊C4—121no—
1252C4⋊C4—121no—
1253C4⋊C4—121no—
1254C4⋊C4—121no—
1255C4⋊C4—121no—
1256C4⋊C4—121no—
1257C22⋊C4—22no—
1258C22⋊C4—22no—
1259C22⋊C4—22no—
1260C22⋊C4—22no—
1261C22⋊C4—22no—
1262C22⋊C4—22no—
1263C22⋊C4—34no—
1264C22⋊C4—34no—
1265C22⋊C4—41no—
1266C22⋊C4—41no—
1267C22⋊C4—41no—
1268C22⋊C4—41no—
1269C22⋊C4—41no—
1270C22⋊C4—41no—
1271C22⋊C4—41no—
1272C22⋊C4—62no—
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—62no—
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—34no—
1312C42—62no—
1313C42—62no—
1314C42—62no—
1315C42—62no—
1316C42—62no—
1317C42—62no—
1318C42—62no—
1319C42—121no—
1320C42—121no—
1321C42—121no—
1322C42—121no—
1323C42D3×D414yes—
1324C22×C3—22no—
1325C22×C3—22no—
1326C22×C3—22no—
1327C22×C3—41no—
1328C22×C3—41no—
1329C22×C3—41no—
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×C3C23×D411yescharacteristic
1346C22×C3C22×#4111yescharacteristic
1347C22×C3C2×H(5,𝔽2)11yescharacteristic
1348C22×C3#58511yescharacteristic
1349C22×C3#58511yescharacteristic
1350C22×C3#58511yescharacteristic
1351C22×C3#58511yescharacteristic
1352C2×D3—22no—
1353C2×D3—22no—
1354C2×D3—22no—
1355C2×D3—22no—
1356C2×D3—22no—
1357C2×D3—22no—
1358C2×D3—41no—
1359C2×D3—41no—
1360C2×D3—41no—
1361C2×D3—41no—
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—41no—
1378C3×C4—41no—
1379C3×C4—41no—
1380C3×C4—41no—
1381C3×C4—41no—
1382C3×C4—41no—
1383C3×C4—41no—
1384C3×C4—41no—
1385C3×C4—41no—
1386Dic3—22no—
1387Dic3—22no—
1388Dic3—22no—
1389Dic3—22no—
1390Dic3—22no—
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—32no—
1420C23—32no—
1421C23—61no—
1422C23—61no—
1423C23—61no—
1424C23—61no—
1425C23—61no—
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—61no—
1440C23—124no—
1441C23—124no—
1442C23—242no—
1443C23—242no—
1444C23—242no—
1445C23—242no—
1446C23—242no—
1447C23D3×#4112yes—
1448C23C24×D311yescharacteristic
1449Q8—124no—
1450Q8—242no—
1451D4—44no—
1452D4—82no—
1453D4—82no—
1454D4—124no—
1455D4—124no—
1456D4—124no—
1457D4—124no—
1458D4—124no—
1459D4—242no—
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—21no—
1493C2×C4—21no—
1494C2×C4—21no—
1495C2×C4—21no—
1496C2×C4—32no—
1497C2×C4—32no—
1498C2×C4—32no—
1499C2×C4—32no—
1500C2×C4—32no—
1501C2×C4—44no—
1502C2×C4—44no—
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—61no—
1537C2×C4—124no—
1538C2×C4—124no—
1539C2×C4—124no—
1540C2×C4—124no—
1541C2×C4—242no—
1542C2×C4—242no—
1543C2×C4—242no—
1544C2×C4C2×D3×D412yes—
1545C2×C4C2×D3×D412yes—
1546C2×C4C2×D3×D412yes—
1547C2×C3—42no—
1548C2×C3—81no—
1549C2×C3—81no—
1550C2×C3#344911yescharacteristic
1551C2×C3D4×#4111yescharacteristic
1552C2×C3#348811yescharacteristic
1553C2×C3#349111yescharacteristic
1554C2×C3#351411yescharacteristic
1555C2×C3#355111yescharacteristic
1556C2×C3#356611yescharacteristic
1557D3—42no—
1558D3—42no—
1559D3—81no—
1560C22—22no—
1561C22—22no—
1562C22—22no—
1563C22—41no—
1564C22—41no—
1565C22—41no—
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—62no—
1582C22—62no—
1583C22—62no—
1584C22—62no—
1585C22—62no—
1586C22—62no—
1587C22—121no—
1588C22—121no—
1589C22—121no—
1590C22—121no—
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
1604C22C2×D3×#4111yescharacteristic
1605C22#596411yescharacteristic
1606C22D3×H(5,𝔽2)11yescharacteristic
1607C22#596611yescharacteristic
1608C22#596611yescharacteristic
1609C22#596811yescharacteristic
1610C4—22no—
1611C4—22no—
1612C4—22no—
1613C4—41no—
1614C4—41no—
1615C4—41no—
1616C4—41no—
1617C4—41no—
1618C4—41no—
1619C4—41no—
1620C4—41no—
1621C4—41no—
1622C4—62no—
1623C4—62no—
1624C4—62no—
1625C4—62no—
1626C4—62no—
1627C4—121no—
1628C4—121no—
1629C4—121no—
1630C4—121no—
1631C4—121no—
1632C4—121no—
1633C4—121no—
1634C4—121no—
1635C3#3838611yescharacteristic, complemented, Sylow
1636C2—42no—
1637C2—81no—
1638C2—81no—
1639C2—122no—
1640C2—122no—
1641C2—241no—
1642C2#8603711yescharacteristic
1643C2#8631311yescharacteristic
1644C2#8637911yescharacteristic
1645C2#8639211yescharacteristic
1646C2#8640211yescharacteristic
1647C2#8644811yescharacteristic
1648C2#8645311yescharacteristic
subgroupG/H
center, FrattiniC23C24×D3
commutator, socle, cosocleC23×C3C25
FittingC3×#2636C2
prime radical#76764C2
hypercenter#2636D3
hypocenterC3#38386
LCSG ▷ C23×C3 ▷ C3
UCSC1 ◁ C23 ◁ #2636

Complements

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

NH ≅ G/Ntype
1. C2×#5705C2semidirect
2. C2×#5538C2semidirect
3. C3×#2636C2semidirect
4. #83088C2semidirect
5. #82329C2semidirect
6. #78369C2semidirect
7. #78178C2semidirect
8. #78116C2semidirect
9. #78033C2semidirect
10. #77440C2semidirect
11. #77433C2semidirect
12. #77295C2semidirect
13. #77293C2semidirect
14. #77139C2semidirect
15. #77139C2semidirect
16. #77112C2semidirect
17. #77024C2semidirect
18. #76925C2semidirect
19. #76907C2semidirect
21. #76689C2semidirect
22. #74901C2semidirect
23. #74876C2semidirect
24. #74869C2semidirect
25. #74780C2semidirect
26. #74622C2semidirect
27. #74618C2semidirect
28. #74500C2semidirect
29. #74377C2semidirect
30. #74240C2semidirect
31. #74156C2semidirect
34. C2×C3×C4×D4C22semidirect
40. C2×#935C22semidirect
43. C2×#926C22semidirect
44. C22×C4×Dic3C22semidirect
50. C2×#897C22semidirect
56. C2×#889C22semidirect
67. C2×#879C22semidirect
68. C2×#878C22semidirect
69. C2×#878C22semidirect
72. C2×C4×Dic6C22semidirect
73. C3×#400C22semidirect
75. C3×#396C22semidirect
76. C3×#396C22semidirect
79. C3×#394C22semidirect
83. C3×#385C22semidirect
84. C3×#385C22semidirect
85. C3×#382C22semidirect
90. #5221C22semidirect
94. #5213C22semidirect
95. #5213C22semidirect
104. #4987C22semidirect
105. #4986C22semidirect
106. #4983C22semidirect
107. #4980C22semidirect
108. #4979C22semidirect
109. #4978C22semidirect
110. #4978C22semidirect
111. #4977C22semidirect
112. #4976C22semidirect
113. #4976C22semidirect
114. #4976C22semidirect
115. #4976C22semidirect
116. Dic3×C4⋊C4C22semidirect
117. #4972C22semidirect
125. #4959C22semidirect
127. #4958C22semidirect
130. #4957C22semidirect
131. #4957C22semidirect
136. #4956C22semidirect
137. #4956C22semidirect
142. #4951C22semidirect
143. #4950C22semidirect
146. #4948C22semidirect
147. #4948C22semidirect
149. #4947C22semidirect
155. #4944C22semidirect
156. Dic3×C22⋊C4C22semidirect
157. #4932C22semidirect
159. #4676C22semidirect
166. #4670C22semidirect
167. #4670C22semidirect
168. #4670C22semidirect
172. #4669C22semidirect
173. #4669C22semidirect
180. #4661C22semidirect
181. #4661C22semidirect
182. #4661C22semidirect
183. #4656C22semidirect
184. #4655C22semidirect
185. #4650C22semidirect
186. #4649C22semidirect
187. #4649C22semidirect
188. #4648C22semidirect
189. #4646C22semidirect
201. #2636D3semidirect
380. #872D4semidirect
447. C2×C4×D4C2×D3semidirect
455. #400C2×D3semidirect
470. #396C2×D3semidirect
471. #396C2×D3semidirect
487. #394C2×D3semidirect
552. #385C2×D3semidirect
553. #385C2×D3semidirect
556. #382C2×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×#57052
C2×#55382
C3×#26362
#830882
#823292
#783692
#781782
#781162
#780332
#774402
#774332
#772952
#772932
#771392
#771122
#770242
#769252
#769072
#767642
#766892
#749012
#748762
#748692
#747802
#746222
#746182
#745002
#743772
#742402
#741562
#383863