Finite Group Databasebeta

← #11634120

Subgroups — #11634120

Order 768.

2412 conjugacy classes of subgroups.

The subgroup lattice has 1666 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#5538C211yesmaximal, characteristic, complemented
2C2×#5527C211yesmaximal, characteristic, complemented
3C3×#2359C211yesmaximal, characteristic, complemented
4#82901C211yesmaximal, characteristic, complemented
5#82859C211yesmaximal, characteristic, complemented
6#82407C211yesmaximal, characteristic, complemented
7#82246C211yesmaximal, characteristic, complemented
8#76110C211yesmaximal, characteristic, complemented
9#76047C211yesmaximal, characteristic, complemented
10#75712C211yesmaximal, characteristic, complemented
11#75709C211yesmaximal, characteristic, complemented
12#75596C211yesmaximal, characteristic, complemented
13#75538C211yesmaximal, characteristic, complemented
14#75170C211yesmaximal, characteristic, complemented
15#75007C211yesmaximal, characteristic, complemented
16#75002C211yesmaximal, characteristic, complemented
17#74982C211yesmaximal, characteristic, complemented
18#74752C211yesmaximal, characteristic, complemented
19#74690C211yesmaximal, characteristic, complemented
20#74596C211yesmaximal, characteristic, complemented
21#74451C211yesmaximal, characteristic, complemented
22#74427C211yesmaximal, characteristic, complemented
23#74380C211yesmaximal, characteristic, complemented
24#73673C211yesmaximal, characteristic, complemented
25#73639C211yesmaximal, characteristic, complemented
26#73597C211yesmaximal, characteristic, complemented
27#73499C211yesmaximal, characteristic, complemented
28#73474C211yesmaximal, characteristic, complemented
29#73469C211yesmaximal, characteristic, complemented
30#73349C211yesmaximal, characteristic, complemented
31C2×#4669C211yesmaximal, characteristic, complemented
32#59048—31nomaximal, Sylow
33C2×C3×#123C2211yescharacteristic
34C2×C3×C4×D4C2211yescharacteristic
35C2×C3×#117C2211yescharacteristic
36C2×#939C2211yescharacteristic
37C2×#939C2211yescharacteristic
38C2×#937C2211yescharacteristic
39C2×#935C2211yescharacteristic
40C2×#930C2211yescharacteristic
41C2×#930C2211yescharacteristic
42C2×#929C2211yescharacteristic
43C2×#929C2211yescharacteristic
44C2×C4×#67C2211yescharacteristic
45C2×C4×#67C2211yescharacteristic, complemented
46C22×(C2×D3)⋊C4C2211yescharacteristic
47C22×(C2×D3)⋊C4C2211yescharacteristic
48C22×(C2×D3)⋊C4C2211yescharacteristic
49C2×#926C2211yescharacteristic, complemented
50C22×Dic3⋊C4C2211yescharacteristic
51C22×C4×Dic3C2211yescharacteristic
52#5538—28no—
53#5527—28no—
54C2×#898C2211yescharacteristic
55C2×#898C2211yescharacteristic, complemented
56C2×#896C2211yescharacteristic
57C2×#894C2211yescharacteristic
58C2×#894C2211yescharacteristic
59C2×#893C2211yescharacteristic
60C2×#889C2211yescharacteristic, complemented
61C2×#886C2211yescharacteristic
62C2×#886C2211yescharacteristic
63C2×#885C2211yescharacteristic, complemented
64C2×#882C2211yescharacteristic
65C2×#882C2211yescharacteristic
66C2×#67⋊C4C2211yescharacteristic
67C2×D3×C22⋊C4C2211yescharacteristic
68C2×#879C2211yescharacteristic, complemented
69C2×#878C2211yescharacteristic
70C2×#876C2211yescharacteristic
71C2×#875C2211yescharacteristic
72C2×C4×D12C2211yescharacteristic
73C2×#872C2211yescharacteristic
74C2×#872C2211yescharacteristic, complemented
75C2×C4×Dic6C2211yescharacteristic, complemented
76C3×#389C2211yescharacteristic, complemented
77C3×#388C2211yescharacteristic, complemented
78C3×#388C2211yescharacteristic, complemented
79C3×#387C2211yescharacteristic, complemented
80C3×#387C2211yescharacteristic, complemented
81C3×#386C2211yescharacteristic
82C3×#385C2211yescharacteristic
83C3×#385C2211yescharacteristic, complemented
84C3×C4×C4⋊C4C2211yescharacteristic, complemented
85C3×C4×C22⋊C4C2211yescharacteristic
86C3×C4×C22⋊C4C2211yescharacteristic, complemented
87C2×C3×#95C2211yescharacteristic
88#5213C2211yescharacteristic
89#5213C2211yescharacteristic
90#5210C2211yescharacteristic
91C2×C3⋊#95C2211yescharacteristic
92#4994C2211yescharacteristic
93#4994C2211yescharacteristic, complemented
94#4994C2211yescharacteristic, complemented
95#4993C2211yescharacteristic
96#4993C2211yescharacteristic
97#4993C2211yescharacteristic, complemented
98#4993C2211yescharacteristic, complemented
99#4991C2211yescharacteristic
100#4990C2211yescharacteristic
101#4990C2211yescharacteristic, complemented
102#4990C2211yescharacteristic, complemented
103#4989C2211yescharacteristic
104#4988C2211yescharacteristic
105#4988C2211yescharacteristic
106#4988C2211yescharacteristic
107#4981C2211yescharacteristic, complemented
108#4981C2211yescharacteristic, complemented
109#4975C2211yescharacteristic, complemented
110#4975C2211yescharacteristic, complemented
111Dic3×C4⋊C4C2211yescharacteristic, complemented
112Dic3×C4⋊C4C2211yescharacteristic, complemented
113#4961C2211yescharacteristic
114#4960C2211yescharacteristic
115#4960C2211yescharacteristic
116#4960C2211yescharacteristic
117#4960C2211yescharacteristic, complemented
118#4959C2211yescharacteristic
119#4959C2211yescharacteristic
120#4959C2211yescharacteristic, complemented
121#4958C2211yescharacteristic
122#4957C2211yescharacteristic
123#4957C2211yescharacteristic
124#4957C2211yescharacteristic, complemented
125#4957C2211yescharacteristic, complemented
126#4956C2211yescharacteristic
127#4956C2211yescharacteristic
128#4956C2211yescharacteristic, complemented
129#4951C2211yescharacteristic, complemented
130#4950C2211yescharacteristic
131#4949C2211yescharacteristic, complemented
132#4949C2211yescharacteristic, complemented
133#4943C2211yescharacteristic
134Dic3×C22⋊C4C2211yescharacteristic
135Dic3×C22⋊C4C2211yescharacteristic
136#4940C2211yescharacteristic
137#4940C2211yescharacteristic, complemented
138#4940C2211yescharacteristic, complemented
139#4939C2211yescharacteristic
140#4939C2211yescharacteristic
141#4939C2211yescharacteristic
142#4939C2211yescharacteristic
143#4939C2211yescharacteristic
144C4×C4⋊Dic3C2211yescharacteristic, complemented
145#4933C2211yescharacteristic, complemented
146C4×Dic3⋊C4C2211yescharacteristic, complemented
147#4929C2211yescharacteristic, complemented
148#4928C2211yescharacteristic, complemented
149#4928C2211yescharacteristic, complemented
150#4677C2211yescharacteristic
151#4677C2211yescharacteristic
152#4676C2211yescharacteristic, complemented
153#4675C2211yescharacteristic
154#4675C2211yescharacteristic
155#4675C2211yescharacteristic, complemented
156#4675C2211yescharacteristic, complemented
157#4672C2211yescharacteristic, complemented
158#4671C2211yescharacteristic
159#4671C2211yescharacteristic
160#4669C2211yescharacteristic
161#4669C2211yescharacteristic
162#4669C2211yescharacteristic
163#4669C2211yescharacteristic
164#4669C2211yescharacteristic
165#4669C2211yescharacteristic
166#4669C2211yescharacteristic
167#4669C2211yescharacteristic
168#4669C2211yescharacteristic
169#4669C2211yescharacteristic, complemented
170#4669C2211yescharacteristic, complemented
171#4667C2211yescharacteristic
172#4667C2211yescharacteristic
173#4667C2211yescharacteristic, complemented
174#4666C2211yescharacteristic
175#4666C2211yescharacteristic, complemented
176#4666C2211yescharacteristic, complemented
177#4665C2211yescharacteristic
178#4665C2211yescharacteristic
179#4665C2211yescharacteristic, complemented
180#4665C2211yescharacteristic, complemented
181#4657C2211yescharacteristic, complemented
182#4657C2211yescharacteristic, complemented
183#4655C2211yescharacteristic, complemented
184#4655C2211yescharacteristic, complemented
185#4654C2211yescharacteristic, complemented
186#4654C2211yescharacteristic, complemented
187#4654C2211yescharacteristic, complemented
188#4647C2211yescharacteristic, complemented
189#4646C2211yescharacteristic, complemented
190C2×#551—31no—
191C2×#529—31no—
192#2733—31no—
193#2730—31no—
194#2721—31no—
195#2694—31no—
196#2554—31no—
197#2543—31no—
198#2539—31no—
199#2539—31no—
200#2512—31no—
201#2501—31no—
202#2479—31no—
203#2479—31no—
204#2471—31no—
205#2467—31no—
206#2467—31no—
207#2456—31no—
208#2448—31no—
209#2425—31no—
210#2424—31no—
211#2423—31no—
212#2413—31no—
213#2412—31no—
214#2368—31no—
215#2363—31no—
216#2359D311yescharacteristic, complemented
217#2358—31no—
218#2354—31no—
219C4×#123—31no—
220C2×#388—31no—
221C24×D3C2311yescharacteristic
222C22×C3×D4C2311yescharacteristic
223C23×C3×C4C2311yescharacteristic
224C23×C3×C4C2311yescharacteristic
225C23×C3×C4C2311yescharacteristic
226C23×C3×C4C2311yescharacteristic
227C22×#67C2311yescharacteristic
228C22×#67C2311yescharacteristic
229C22×#67C2311yescharacteristic
230C22×#67C2311yescharacteristic
231C22×#67C2311yescharacteristic
232C22×#67C2311yescharacteristic
233C23×Dic3C2311yescharacteristic
234C23×Dic3C2311yescharacteristic
235C23×Dic3C2311yescharacteristic
236C22×D12C2311yescharacteristic
237C22×D12C2311yescharacteristic
238C22×D12C2311yescharacteristic
239C22×D12C2311yescharacteristic
240C22×D12C2311yescharacteristic
241C22×C4×D3C2311yescharacteristic
242C22×C4×D3C2311yescharacteristic
243C22×C4×D3C2311yescharacteristic
244C22×C4×D3C2311yescharacteristic
245C22×Dic6C2311yescharacteristic
246C3×#123—24no—
247C3×C4×D4—24no—
248C3×#117—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×C4⋊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×C42C2311yescharacteristic
265C2×C3×C42C2311yescharacteristic
266C2×C3×C42C2311yescharacteristic
267C2×C3×C42C2311yescharacteristic
268C2×C3×C42C2311yescharacteristic
269C2×#217C2311yescharacteristic
270C2×#217C2311yescharacteristic
271C2×#217C2311yescharacteristic
272C2×#217C2311yescharacteristic
273C2×#217C2311yescharacteristic
274C2×#217C2311yescharacteristic
275#939—24no—
276#939—42no—
277#937—42no—
278#935—24no—
279#930—24no—
280#930—42no—
281#929—24no—
282#929—42no—
283C4×#67—24no—
284C4×#67—24no—
285C2×(C2×D3)⋊C4—24no—
286C2×(C2×D3)⋊C4—24no—
287C2×(C2×D3)⋊C4—42no—
288C2×(C2×D3)⋊C4C2311yescharacteristic
289C2×(C2×D3)⋊C4C2311yescharacteristic
290C2×(C2×D3)⋊C4C2311yescharacteristic
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
318C2×(C2×D3)⋊C4C2311yescharacteristic
319C2×(C2×D3)⋊C4C2311yescharacteristic
320C2×(C2×D3)⋊C4C2311yescharacteristic
321C2×(C2×D3)⋊C4C2311yescharacteristic
322C2×(C2×D3)⋊C4C2311yescharacteristic
323C2×(C2×D3)⋊C4C2311yescharacteristic
324C2×(C2×D3)⋊C4C2311yescharacteristic
325C2×(C2×D3)⋊C4C2311yescharacteristic
326#926—24no—
327C2×C4⋊Dic3C2311yescharacteristic
328C2×C4⋊Dic3C2311yescharacteristic
329C2×C4⋊Dic3C2311yescharacteristic
330C2×C4⋊Dic3C2311yescharacteristic
331C2×C4⋊Dic3C2311yescharacteristic
332C2×C4⋊Dic3C2311yescharacteristic
333C2×C4⋊Dic3C2311yescharacteristic
334C2×C4⋊Dic3C2311yescharacteristic
335C2×Dic3⋊C4—42no—
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×Dic3⋊C4C2311yescharacteristic
349C2×Dic3⋊C4C2311yescharacteristic
350C2×Dic3⋊C4C2311yescharacteristic
351C2×Dic3⋊C4C2311yescharacteristic
352C2×Dic3⋊C4C2311yescharacteristic
353C2×Dic3⋊C4C2311yescharacteristic
354C2×C4×Dic3—24no—
355C2×C4×Dic3C2311yescharacteristic
356C2×C4×Dic3C2311yescharacteristic
357C2×C4×Dic3C2311yescharacteristic
358C2×C4×Dic3C2311yescharacteristic
359C2×C4×Dic3C2311yescharacteristic
360C2×C4×Dic3C2311yescharacteristic
361C2×C4×Dic3C2311yescharacteristic
362C2×C4×Dic3C2311yescharacteristic
363C2×C4×Dic3C2311yescharacteristic
364C2×C4×Dic3C2311yescharacteristic
365#898—24no—
366#898—24no—
367#896—24no—
368#894—24no—
369#894—24no—
370#893—24no—
371#889—24no—
372#886—24no—
373#886—24no—
374#885—24no—
375#882—24no—
376#882—24no—
377#67⋊C4—24no—
378D3×C22⋊C4—24no—
379#879—24no—
380#878D418yescomplemented
381#876—24no—
382#875—24no—
383C4×D12—24no—
384#872—24no—
385#872—24no—
386C4×Dic6—24no—
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
414C3⋊#95C2311yescharacteristic
415C3⋊#95C2311yescharacteristic
416C3⋊#95C2311yescharacteristic
417#551—68no—
418#529—68no—
419C2×#126—31no—
420C2×#126—31no—
421C2×#126—31no—
422C2×#126—31no—
423C2×#125—31no—
424C2×#124—31no—
425C2×#124—31no—
426C2×#123—31no—
427C2×#123—31no—
428C2×#123—31no—
429C2×#123—31no—
430C2×#123—31no—
431C2×#123—31no—
432C2×#123—31no—
433C2×#123C2×D311yescharacteristic
434C2×C22⋊Q8—31no—
435C2×C22⋊Q8—31no—
436C2×#121—31no—
437C2×#121—31no—
438C2×#121—31no—
439C2×#121—31no—
440C2×#120—31no—
441C2×#120—31no—
442C2×#120—31no—
443C2×C4×Q8—31no—
444C2×C4×D4—31no—
445C2×C4×D4—31no—
446C2×C4×D4—31no—
447C2×C4×D4—31no—
448C2×C4×D4—31no—
449C2×C4×D4C2×D311yescharacteristic
450C2×#117—31no—
451C2×#117—31no—
452C2×#117—31no—
453C2×#117C2×D311yescharacteristic
454C22×C4⋊C4—31no—
455C22×C22⋊C4—31no—
456C22×C22⋊C4—31no—
457C22×C22⋊C4—31no—
458C22×C22⋊C4—31no—
459C22×C42—31no—
460#399—31no—
461#399—31no—
462#399—31no—
463#399—31no—
464#399—31no—
465#399—31no—
466#399—31no—
467#399—31no—
468#398—31no—
469#398—31no—
470#398—31no—
471#398—31no—
472#397—31no—
473#397—31no—
474#397—31no—
475#397—31no—
476#396—31no—
477#396—31no—
478#396—31no—
479#396—31no—
480#394—31no—
481#394—31no—
482#394—31no—
483#394—31no—
484#394—31no—
485#394—31no—
486#392—31no—
487#392—31no—
488#392—31no—
489#392—31no—
490#392—31no—
491#392—31no—
492#391—31no—
493#391—31no—
494#390—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#390—31no—
504#390—31no—
505#390—31no—
506#389—31no—
507#389—31no—
508#389—31no—
509#389C2×D311yescharacteristic, complemented
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#388C2×D311yescharacteristic, complemented
529#388C2×D311yescharacteristic, complemented
530#387—31no—
531#387—31no—
532#387—31no—
533#387—31no—
534#387—31no—
535#387—31no—
536#387C2×D311yescharacteristic, complemented
537#387C2×D311yescharacteristic, complemented
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#386—31no—
548#386C2×D311yescharacteristic
549#385—31no—
550#385—31no—
551#385—31no—
552#385C2×D311yescharacteristic
553#385C2×D311yescharacteristic, complemented
554#384—31no—
555#384—31no—
556#381—31no—
557#380—31no—
558#380—31no—
559#380—31no—
560C4×C4⋊C4—31no—
561C4×C4⋊C4—31no—
562C4×C4⋊C4—31no—
563C4×C4⋊C4—31no—
564C4×C4⋊C4C2×D311yescharacteristic, complemented
565C4×C22⋊C4—31no—
566C4×C22⋊C4—31no—
567C4×C22⋊C4—31no—
568C4×C22⋊C4—31no—
569C4×C22⋊C4—31no—
570C4×C22⋊C4C2×D311yescharacteristic
571C4×C22⋊C4C2×D311yescharacteristic, complemented
572C2×#95—31no—
573C2×#95C2×D311yescharacteristic
574C24×C3C2411yescharacteristic
575C24×C3C2411yescharacteristic
576C23×D3—22no—
577C23×D3—22no—
578C23×D3—22no—
579C23×D3—22no—
580C23×D3—41no—
581C23×D3—41no—
582C23×D3—41no—
583C23×D3C2411yescharacteristic
584C23×D3C2411yescharacteristic
585C23×D3C2411yescharacteristic
586C23×D3C2411yescharacteristic
587C2×C3×D4—22no—
588C2×C3×D4—22no—
589C2×C3×D4—22no—
590C22×C3×C4—22no—
591C22×C3×C4—22no—
592C22×C3×C4—22no—
593C22×C3×C4—22no—
594C22×C3×C4—22no—
595C22×C3×C4—22no—
596C22×C3×C4—22no—
597C22×C3×C4—22no—
598C22×C3×C4—41no—
599C22×C3×C4—41no—
600C22×C3×C4—41no—
601C22×C3×C4—41no—
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
611C22×C3×C4C2411yescharacteristic
612C22×C3×C4C2411yescharacteristic
613C22×C3×C4C2411yescharacteristic
614C22×C3×C4C2411yescharacteristic
615C2×#67—22no—
616C2×#67—22no—
617C2×#67—22no—
618C2×#67—22no—
619C2×#67—22no—
620C2×#67—22no—
621C2×#67—22no—
622C2×#67—22no—
623C2×#67—22no—
624C2×#67—41no—
625C2×#67—41no—
626C2×#67—41no—
627C2×#67—41no—
628C2×#67—41no—
629C2×#67—41no—
630C2×#67—41no—
631C2×#67—41no—
632C2×#67—41no—
633C22×Dic3—22no—
634C22×Dic3—22no—
635C22×Dic3—22no—
636C22×Dic3—22no—
637C22×Dic3—22no—
638C22×Dic3—41no—
639C22×Dic3—41no—
640C22×Dic3—41no—
641C22×Dic3C2×D414yes—
642C22×Dic3C2411yescharacteristic
643C22×Dic3C2411yescharacteristic
644C22×Dic3C2411yescharacteristic
645C22×Dic3C2411yescharacteristic
646C22×Dic3C2411yescharacteristic
647C22×Dic3C2411yescharacteristic
648C22×Dic3C2411yescharacteristic
649C22×Dic3C2411yescharacteristic
650C22×Dic3C2411yescharacteristic
651C22×Dic3C2411yescharacteristic
652C22×Dic3C2411yescharacteristic
653C22×Dic3C2411yescharacteristic
654C2×D12—22no—
655C2×D12—22no—
656C2×D12—22no—
657C2×D12—22no—
658C2×D12—22no—
659C2×D12—22no—
660C2×D12—41no—
661C2×D12—41no—
662C2×D12—41no—
663C2×D12—41no—
664C2×D12—41no—
665C2×D12—41no—
666C2×D12—41no—
667C2×D12—41no—
668C2×D12—41no—
669C2×C4×D3—22no—
670C2×C4×D3—22no—
671C2×C4×D3—22no—
672C2×C4×D3—22no—
673C2×C4×D3—22no—
674C2×C4×D3—22no—
675C2×C4×D3—41no—
676C2×C4×D3—41no—
677C2×C4×D3—41no—
678C2×C4×D3—41no—
679C2×C4×D3—41no—
680C2×C4×D3—41no—
681C2×Dic6—41no—
682C2×Dic6—41no—
683C2×Dic6C2×D414yes—
684C3×C4⋊C4—22no—
685C3×C4⋊C4—22no—
686C3×C4⋊C4—22no—
687C3×C4⋊C4—22no—
688C3×C4⋊C4—22no—
689C3×C4⋊C4—22no—
690C3×C4⋊C4—41no—
691C3×C22⋊C4—22no—
692C3×C22⋊C4—22no—
693C3×C22⋊C4—22no—
694C3×C22⋊C4—22no—
695C3×C22⋊C4—41no—
696C3×C22⋊C4—41no—
697C3×C22⋊C4C2×D414yes—
698C3×C22⋊C4#4114yes—
699C3×C42—22no—
700C3×C42—22no—
701C3×C42—22no—
702C3×C42—41no—
703C3×C42—41no—
704#217—22no—
705#217—22no—
706#217—22no—
707#217—22no—
708#217—41no—
709#217C2×D414yes—
710(C2×D3)⋊C4—22no—
711(C2×D3)⋊C4—22no—
712(C2×D3)⋊C4—22no—
713(C2×D3)⋊C4—22no—
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—22no—
729(C2×D3)⋊C4—22no—
730(C2×D3)⋊C4—22no—
731(C2×D3)⋊C4—22no—
732(C2×D3)⋊C4—22no—
733(C2×D3)⋊C4—22no—
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)⋊C4—41no—
740(C2×D3)⋊C4—41no—
741(C2×D3)⋊C4—41no—
742(C2×D3)⋊C4—41no—
743(C2×D3)⋊C4—41no—
744(C2×D3)⋊C4—41no—
745(C2×D3)⋊C4—41no—
746(C2×D3)⋊C4—41no—
747(C2×D3)⋊C4#4114yes—
748C4⋊Dic3—22no—
749C4⋊Dic3—22no—
750C4⋊Dic3—22no—
751C4⋊Dic3—22no—
752C4⋊Dic3—22no—
753C4⋊Dic3—41no—
754C4⋊Dic3—41no—
755C4⋊Dic3C2×D414yes—
756Dic3⋊C4—22no—
757Dic3⋊C4—22no—
758Dic3⋊C4—22no—
759Dic3⋊C4—22no—
760Dic3⋊C4—22no—
761Dic3⋊C4—22no—
762Dic3⋊C4—22no—
763Dic3⋊C4—41no—
764Dic3⋊C4—41no—
765Dic3⋊C4—41no—
766Dic3⋊C4—41no—
767Dic3⋊C4—41no—
768Dic3⋊C4—41no—
769Dic3⋊C4—41no—
770Dic3⋊C4—41no—
771Dic3⋊C4—41no—
772Dic3⋊C4C2×D414yes—
773Dic3⋊C4C2×D414yes—
774C4×Dic3—22no—
775C4×Dic3—22no—
776C4×Dic3—22no—
777C4×Dic3—22no—
778C4×Dic3—22no—
779C4×Dic3—22no—
780C4×Dic3—22no—
781C4×Dic3—41no—
782C4×Dic3—41no—
783C4×Dic3—41no—
784C25—31no—
785C22×Q8—31no—
786C22×D4—31no—
787C22×D4—31no—
788C22×D4—31no—
789C22×D4—31no—
790C22×D4—31no—
791C22×D4—31no—
792C22×D4—31no—
793C22×D4—31no—
794C22×D4—31no—
795C22×D4—31no—
796C22×D4—31no—
797C22×D4C22×D311yescharacteristic
798C23×C4—31no—
799C23×C4—31no—
800C23×C4—31no—
801C23×C4—31no—
802C23×C4—31no—
803C23×C4—31no—
804C23×C4—31no—
805C23×C4C22×D311yescharacteristic
806C23×C4C22×D311yescharacteristic
807C23×C4C22×D311yescharacteristic
808C23×C4C22×D311yescharacteristic
809#126—64no—
810#126—64no—
811#126—64no—
812#126—64no—
813#125—64no—
814#124—64no—
815#124—64no—
816#123—24no—
817#123—64no—
818#123—64no—
819#123—64no—
820#123—64no—
821#123—64no—
822#123—64no—
823#123—122no—
824C22⋊Q8—38no—
825C22⋊Q8—64no—
826#121—64no—
827#121—64no—
828#121—122no—
829#121—122no—
830#120—64no—
831#120—64no—
832#120—122no—
833C4×Q8—64no—
834C4×D4—24no—
835C4×D4—64no—
836C4×D4—64no—
837C4×D4—64no—
838C4×D4—64no—
839C4×D4—64no—
840#117—24no—
841#117—64no—
842#117—64no—
843#117—64no—
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⋊C4—31no—
863C2×C4⋊C4—31no—
864C2×C4⋊C4—31no—
865C2×C4⋊C4—31no—
866C2×C4⋊C4—31no—
867C2×C4⋊C4—31no—
868C2×C4⋊C4—31no—
869C2×C4⋊C4—31no—
870C2×C4⋊C4—122no—
871C2×C4⋊C4C22×D311yescharacteristic
872C2×C4⋊C4C22×D311yescharacteristic
873C2×C4⋊C4C22×D311yescharacteristic
874C2×C4⋊C4C22×D311yescharacteristic
875C2×C4⋊C4C22×D311yescharacteristic
876C2×C4⋊C4C22×D311yescharacteristic
877C2×C4⋊C4C22×D311yescharacteristic
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—31no—
910C2×C22⋊C4—31no—
911C2×C22⋊C4—31no—
912C2×C22⋊C4—31no—
913C2×C22⋊C4—31no—
914C2×C22⋊C4—31no—
915C2×C22⋊C4—31no—
916C2×C22⋊C4—31no—
917C2×C22⋊C4—31no—
918C2×C22⋊C4—31no—
919C2×C22⋊C4—31no—
920C2×C22⋊C4—31no—
921C2×C22⋊C4—31no—
922C2×C22⋊C4—64no—
923C2×C22⋊C4—64no—
924C2×C22⋊C4—64no—
925C2×C22⋊C4—122no—
926C2×C22⋊C4C22×D311yescharacteristic
927C2×C22⋊C4C22×D311yescharacteristic
928C2×C22⋊C4C22×D311yescharacteristic
929C2×C22⋊C4C22×D311yescharacteristic
930C2×C22⋊C4C22×D311yescharacteristic
931C2×C22⋊C4C22×D311yescharacteristic
932C2×C22⋊C4C22×D311yescharacteristic
933C2×C22⋊C4C22×D311yescharacteristic
934C2×C42—31no—
935C2×C42—31no—
936C2×C42—31no—
937C2×C42—31no—
938C2×C42—31no—
939C2×C42—31no—
940C2×C42—31no—
941C2×C42—31no—
942C2×C42—31no—
943C2×C42—31no—
944C2×C42—64no—
945C2×C42C22×D311yescharacteristic
946C2×C42C22×D311yescharacteristic
947C2×C42C22×D311yescharacteristic
948C2×C42C22×D311yescharacteristic
949C2×C42C22×D311yescharacteristic
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#95—31no—
967#95—31no—
968#95—31no—
969#95—31no—
970#95C22×D311yescharacteristic
971#95C22×D311yescharacteristic
972#95C22×D311yescharacteristic
973#95C22×D311yescharacteristic
974#95C22×D311yescharacteristic
975#95C22×D311yescharacteristic
976#95C22×D311yescharacteristic
977#95C22×D311yescharacteristic
978#95C22×D311yescharacteristic
979#95C22×D311yescharacteristic
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×C3C22×D412yes—
992C23×C3C2×#4112yes—
993C23×C3H(5,𝔽2)12yes—
994C23×C3C2511yescharacteristic
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—21no—
1012C22×D3—21no—
1013C22×D3—21no—
1014C22×D3—21no—
1015C22×D3—21no—
1016C22×D3—21no—
1017C22×D3—21no—
1018C22×D3—21no—
1019C22×D3—21no—
1020C22×D3—21no—
1021C22×D3—21no—
1022C22×D3—44no—
1023C22×D3—44no—
1024C22×D3—44no—
1025C22×D3—44no—
1026C22×D3—82no—
1027C22×D3—82no—
1028C22×D3—82no—
1029C22×D3C2×#4112yes—
1030C3×D4—44no—
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—21no—
1057C2×C3×C4—21no—
1058C2×C3×C4—21no—
1059C2×C3×C4—21no—
1060C2×C3×C4—21no—
1061C2×C3×C4—21no—
1062C2×C3×C4—21no—
1063C2×C3×C4—21no—
1064C2×C3×C4—21no—
1065C2×C3×C4—44no—
1066C2×C3×C4—44no—
1067C2×C3×C4—44no—
1068C2×C3×C4—82no—
1069C2×C3×C4C22×D412yes—
1070C2×C3×C4C22×D412yes—
1071C2×C3×C4C2×#4112yes—
1072C2×C3×C4C2×#4112yes—
1073C2×C3×C4C2×#4112yes—
1074#67—44no—
1075#67—44no—
1076#67—44no—
1077#67—82no—
1078#67—82no—
1079#67—82no—
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—21no—
1106C2×Dic3—21no—
1107C2×Dic3—21no—
1108C2×Dic3—21no—
1109C2×Dic3—21no—
1110C2×Dic3—21no—
1111C2×Dic3—44no—
1112C2×Dic3—44no—
1113C2×Dic3—44no—
1114C2×Dic3C22×D412yes—
1115C2×Dic3C22×D412yes—
1116C2×Dic3C22×D412yes—
1117C2×Dic3C22×D412yes—
1118C2×Dic3C2×#4112yes—
1119D12—44no—
1120D12—44no—
1121D12—82no—
1122D12—82no—
1123D12—82no—
1124C4×D3—44no—
1125C4×D3—44no—
1126C4×D3—82no—
1127C4×D3—82no—
1128Dic6—44no—
1129C24—31no—
1130C24—31no—
1131C24—31no—
1132C24—31no—
1133C24—62no—
1134C24—62no—
1135C24—62no—
1136C24—62no—
1137C24—121no—
1138C24—121no—
1139C24—121no—
1140C24C23×D311yescharacteristic
1141C24C23×D311yescharacteristic
1142C2×Q8—34no—
1143C2×Q8—121no—
1144C2×Q8—121no—
1145C2×D4—22no—
1146C2×D4—22no—
1147C2×D4—22no—
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—62no—
1159C2×D4—62no—
1160C2×D4—62no—
1161C2×D4—62no—
1162C2×D4—62no—
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—
1173C2×D4—121no—
1174C2×D4—121no—
1175C2×D4—121no—
1176C2×D4—121no—
1177C2×D4—121no—
1178C2×D4—121no—
1179C2×D4—121no—
1180C2×D4—121no—
1181C22×C4—22no—
1182C22×C4—22no—
1183C22×C4—22no—
1184C22×C4—22no—
1185C22×C4—22no—
1186C22×C4—22no—
1187C22×C4—22no—
1188C22×C4—22no—
1189C22×C4—31no—
1190C22×C4—31no—
1191C22×C4—31no—
1192C22×C4—31no—
1193C22×C4—31no—
1194C22×C4—34no—
1195C22×C4—31no—
1196C22×C4—31no—
1197C22×C4—31no—
1198C22×C4—31no—
1199C22×C4—31no—
1200C22×C4—31no—
1201C22×C4—31no—
1202C22×C4—41no—
1203C22×C4—41no—
1204C22×C4—41no—
1205C22×C4—41no—
1206C22×C4—62no—
1207C22×C4—62no—
1208C22×C4—62no—
1209C22×C4—62no—
1210C22×C4—62no—
1211C22×C4—62no—
1212C22×C4—62no—
1213C22×C4—62no—
1214C22×C4—62no—
1215C22×C4—62no—
1216C22×C4—62no—
1217C22×C4—121no—
1218C22×C4—121no—
1219C22×C4—121no—
1220C22×C4—121no—
1221C22×C4—121no—
1222C22×C4—121no—
1223C22×C4—121no—
1224C22×C4—121no—
1225C22×C4—121no—
1226C22×C4C23×D311yescharacteristic
1227C22×C4C23×D311yescharacteristic
1228C22×C4C23×D311yescharacteristic
1229C22×C4C23×D311yescharacteristic
1230C22×C4C23×D311yescharacteristic
1231C22×C4C23×D311yescharacteristic
1232C22×C4C23×D311yescharacteristic
1233C22×C4C23×D311yescharacteristic
1234C22×C4C23×D311yescharacteristic
1235C22×C4C23×D311yescharacteristic
1236C22×C4C23×D311yescharacteristic
1237C22×C4C23×D311yescharacteristic
1238C22×C4C23×D311yescharacteristic
1239C4⋊C4—22no—
1240C4⋊C4—22no—
1241C4⋊C4—22no—
1242C4⋊C4—22no—
1243C4⋊C4—22no—
1244C4⋊C4—22no—
1245C4⋊C4—34no—
1246C4⋊C4—34no—
1247C4⋊C4—34no—
1248C4⋊C4—41no—
1249C4⋊C4—62no—
1250C4⋊C4—62no—
1251C4⋊C4—62no—
1252C4⋊C4—62no—
1253C4⋊C4—62no—
1254C4⋊C4—62no—
1255C4⋊C4—62no—
1256C4⋊C4—62no—
1257C4⋊C4—62no—
1258C4⋊C4—62no—
1259C4⋊C4—62no—
1260C4⋊C4—62no—
1261C4⋊C4—121no—
1262C4⋊C4—121no—
1263C4⋊C4—121no—
1264C4⋊C4—121no—
1265C4⋊C4—121no—
1266C4⋊C4—121no—
1267C4⋊C4—121no—
1268C4⋊C4—121no—
1269C4⋊C4—121no—
1270C4⋊C4—121no—
1271C4⋊C4—121no—
1272C22⋊C4—22no—
1273C22⋊C4—22no—
1274C22⋊C4—22no—
1275C22⋊C4—22no—
1276C22⋊C4—34no—
1277C22⋊C4—34no—
1278C22⋊C4—41no—
1279C22⋊C4—41no—
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—62no—
1295C22⋊C4—62no—
1296C22⋊C4—62no—
1297C22⋊C4—62no—
1298C22⋊C4—62no—
1299C22⋊C4—62no—
1300C22⋊C4—62no—
1301C22⋊C4—62no—
1302C22⋊C4—62no—
1303C22⋊C4—62no—
1304C22⋊C4—62no—
1305C22⋊C4—62no—
1306C22⋊C4—62no—
1307C22⋊C4—62no—
1308C22⋊C4—121no—
1309C22⋊C4—121no—
1310C22⋊C4—121no—
1311C22⋊C4—121no—
1312C22⋊C4—121no—
1313C22⋊C4—121no—
1314C22⋊C4—121no—
1315C22⋊C4—121no—
1316C22⋊C4—121no—
1317C22⋊C4—121no—
1318C22⋊C4—121no—
1319C22⋊C4—121no—
1320C22⋊C4—121no—
1321C22⋊C4—121no—
1322C22⋊C4#23514yes—
1323C22⋊C4D3×D414yes—
1324C42—22no—
1325C42—22no—
1326C42—22no—
1327C42—41no—
1328C42—41no—
1329C42—62no—
1330C42—62no—
1331C42—62no—
1332C42—62no—
1333C42—62no—
1334C42—62no—
1335C42—62no—
1336C42—121no—
1337C42—121no—
1338C42—121no—
1339C22×C3—22no—
1340C22×C3—22no—
1341C22×C3—22no—
1342C22×C3—22no—
1343C22×C3—22no—
1344C22×C3—22no—
1345C22×C3—41no—
1346C22×C3—41no—
1347C22×C3—41no—
1348C22×C3—41no—
1349C22×C3—41no—
1350C22×C3—41no—
1351C22×C3—41no—
1352C22×C3#55014yes—
1353C22×C3C23×D411yescharacteristic
1354C22×C3C22×#4111yescharacteristic
1355C22×C3C22×#4111yescharacteristic
1356C22×C3C2×H(5,𝔽2)11yescharacteristic
1357C22×C3#58511yescharacteristic
1358C22×C3#58511yescharacteristic
1359C22×C3#58511yescharacteristic
1360C2×D3—22no—
1361C2×D3—22no—
1362C2×D3—22no—
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—41no—
1374C2×D3—41no—
1375C2×D3—41no—
1376C2×D3—41no—
1377C2×D3—41no—
1378C2×D3—41no—
1379C2×D3—41no—
1380C2×D3—41no—
1381C2×D3—41no—
1382C2×D3—41no—
1383C2×D3—41no—
1384C2×D3—41no—
1385C2×D3—41no—
1386C2×D3—41no—
1387C2×D3—41no—
1388C2×D3—88no—
1389C3×C4—22no—
1390C3×C4—22no—
1391C3×C4—22no—
1392C3×C4—22no—
1393C3×C4—22no—
1394C3×C4—41no—
1395C3×C4—41no—
1396C3×C4—41no—
1397C3×C4—41no—
1398C3×C4—41no—
1399C3×C4—41no—
1400C3×C4—41no—
1401C3×C4—41no—
1402Dic3—22no—
1403Dic3—22no—
1404Dic3—22no—
1405Dic3—22no—
1406Dic3—22no—
1407Dic3—41no—
1408Dic3—41no—
1409Dic3—41no—
1410Dic3—41no—
1411Dic3—41no—
1412Dic3—41no—
1413Dic3—41no—
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—61no—
1440C23—61no—
1441C23—61no—
1442C23—61no—
1443C23—61no—
1444C23—61no—
1445C23—61no—
1446C23—61no—
1447C23—61no—
1448C23—61no—
1449C23—61no—
1450C23—61no—
1451C23—61no—
1452C23—61no—
1453C23—124no—
1454C23—124no—
1455C23—124no—
1456C23—124no—
1457C23—242no—
1458C23—242no—
1459C23—242no—
1460C23C2×#23512yes—
1461C23C2×D3×D412yes—
1462C23#100912yes—
1463C23C24×D311yescharacteristic
1464Q8—124no—
1465D4—44no—
1466D4—124no—
1467D4—124no—
1468D4—124no—
1469D4—124no—
1470D4—124no—
1471D4—242no—
1472D4—242no—
1473D4—242no—
1474D4—242no—
1475D4—242no—
1476D4—242no—
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—21no—
1497C2×C4—21no—
1498C2×C4—21no—
1499C2×C4—21no—
1500C2×C4—21no—
1501C2×C4—21no—
1502C2×C4—21no—
1503C2×C4—21no—
1504C2×C4—21no—
1505C2×C4—21no—
1506C2×C4—21no—
1507C2×C4—21no—
1508C2×C4—21no—
1509C2×C4—21no—
1510C2×C4—21no—
1511C2×C4—32no—
1512C2×C4—32no—
1513C2×C4—32no—
1514C2×C4—32no—
1515C2×C4—32no—
1516C2×C4—44no—
1517C2×C4—44no—
1518C2×C4—44no—
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—61no—
1538C2×C4—61no—
1539C2×C4—61no—
1540C2×C4—61no—
1541C2×C4—61no—
1542C2×C4—61no—
1543C2×C4—61no—
1544C2×C4—61no—
1545C2×C4—61no—
1546C2×C4—61no—
1547C2×C4—61no—
1548C2×C4—61no—
1549C2×C4—61no—
1550C2×C4—82no—
1551C2×C4—124no—
1552C2×C4—124no—
1553C2×C4—124no—
1554C2×C4—124no—
1555C2×C4—124no—
1556C2×C4—242no—
1557C2×C4—242no—
1558C2×C4C2×#23512yes—
1559C2×C4C2×#23512yes—
1560C2×C4C2×D3×D412yes—
1561C2×C4C2×D3×D412yes—
1562C2×C4D3×#4112yes—
1563C2×C3—24no—
1564C2×C3—81no—
1565C2×C3C2×#55011yescharacteristic
1566C2×C3D4×#4111yescharacteristic
1567C2×C3#347511yescharacteristic
1568C2×C3#348511yescharacteristic
1569C2×C3#351311yescharacteristic
1570C2×C3#352111yescharacteristic
1571C2×C3#354511yescharacteristic
1572D3—42no—
1573D3—81no—
1574D3—81no—
1575D3—81no—
1576C22—22no—
1577C22—22no—
1578C22—22no—
1579C22—22no—
1580C22—22no—
1581C22—22no—
1582C22—41no—
1583C22—41no—
1584C22—41no—
1585C22—41no—
1586C22—41no—
1587C22—41no—
1588C22—41no—
1589C22—62no—
1590C22—62no—
1591C22—62no—
1592C22—121no—
1593C22—121no—
1594C22—121no—
1595C22—121no—
1596C22—121no—
1597C22—121no—
1598C22—121no—
1599C22—121no—
1600C22—121no—
1601C22—121no—
1602C22—121no—
1603C22—121no—
1604C22—121no—
1605C22—121no—
1606C22—121no—
1607C22—121no—
1608C22—121no—
1609C22—121no—
1610C22—121no—
1611C22—121no—
1612C22—121no—
1613C22—121no—
1614C22—121no—
1615C22—121no—
1616C22—121no—
1617C22—248no—
1618C22#555314yes—
1619C22C22×#23511yescharacteristic
1620C22C22×D3×D411yescharacteristic
1621C22C2×D3×#4111yescharacteristic
1622C22C2×#100911yescharacteristic
1623C22#596411yescharacteristic
1624C22#596611yescharacteristic
1625C22#596811yescharacteristic
1626C4—22no—
1627C4—22no—
1628C4—22no—
1629C4—22no—
1630C4—22no—
1631C4—41no—
1632C4—41no—
1633C4—41no—
1634C4—41no—
1635C4—41no—
1636C4—41no—
1637C4—41no—
1638C4—41no—
1639C4—62no—
1640C4—62no—
1641C4—62no—
1642C4—62no—
1643C4—62no—
1644C4—121no—
1645C4—121no—
1646C4—121no—
1647C4—121no—
1648C4—121no—
1649C4—121no—
1650C4—121no—
1651C3#5904811yescharacteristic, complemented, Sylow
1652C2—24no—
1653C2—81no—
1654C2—122no—
1655C2—241no—
1656C2—241no—
1657C2—241no—
1658C2C2×#555311yescharacteristic
1659C2#8584111yescharacteristic
1660C2#8589711yescharacteristic
1661C2#8662611yescharacteristic
1662C2#8670011yescharacteristic
1663C2#8680611yescharacteristic
1664C2#8683411yescharacteristic
subgroupG/H
center, FrattiniC23C24×D3
commutator, socle, cosocleC23×C3C25
FittingC3×#2359C2
hypercenter#2359D3
hypocenterC3#59048
LCSG ▷ C23×C3 ▷ C3
UCSC1 ◁ C23 ◁ #2359

Complements

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

NH ≅ G/Ntype
1. C2×#5538C2semidirect
2. C2×#5527C2semidirect
3. C3×#2359C2semidirect
4. #82901C2semidirect
5. #82859C2semidirect
6. #82407C2semidirect
7. #82246C2semidirect
8. #76110C2semidirect
9. #76047C2semidirect
10. #75712C2semidirect
11. #75709C2semidirect
12. #75596C2semidirect
13. #75538C2semidirect
14. #75170C2semidirect
15. #75007C2semidirect
16. #75002C2semidirect
17. #74982C2semidirect
18. #74752C2semidirect
19. #74690C2semidirect
20. #74596C2semidirect
21. #74451C2semidirect
22. #74427C2semidirect
23. #74380C2semidirect
24. #73673C2semidirect
25. #73639C2semidirect
26. #73597C2semidirect
27. #73499C2semidirect
28. #73474C2semidirect
29. #73469C2semidirect
30. #73349C2semidirect
31. C2×#4669C2semidirect
45. C2×C4×#67C22semidirect
49. C2×#926C22semidirect
55. C2×#898C22semidirect
60. C2×#889C22semidirect
63. C2×#885C22semidirect
68. C2×#879C22semidirect
74. C2×#872C22semidirect
75. C2×C4×Dic6C22semidirect
76. C3×#389C22semidirect
77. C3×#388C22semidirect
78. C3×#388C22semidirect
79. C3×#387C22semidirect
80. C3×#387C22semidirect
83. C3×#385C22semidirect
84. C3×C4×C4⋊C4C22semidirect
86. C3×C4×C22⋊C4C22semidirect
93. #4994C22semidirect
94. #4994C22semidirect
97. #4993C22semidirect
98. #4993C22semidirect
101. #4990C22semidirect
102. #4990C22semidirect
107. #4981C22semidirect
108. #4981C22semidirect
109. #4975C22semidirect
110. #4975C22semidirect
111. Dic3×C4⋊C4C22semidirect
112. Dic3×C4⋊C4C22semidirect
117. #4960C22semidirect
120. #4959C22semidirect
124. #4957C22semidirect
125. #4957C22semidirect
128. #4956C22semidirect
129. #4951C22semidirect
131. #4949C22semidirect
132. #4949C22semidirect
137. #4940C22semidirect
138. #4940C22semidirect
144. C4×C4⋊Dic3C22semidirect
145. #4933C22semidirect
146. C4×Dic3⋊C4C22semidirect
147. #4929C22semidirect
148. #4928C22semidirect
149. #4928C22semidirect
152. #4676C22semidirect
155. #4675C22semidirect
156. #4675C22semidirect
157. #4672C22semidirect
169. #4669C22semidirect
170. #4669C22semidirect
173. #4667C22semidirect
175. #4666C22semidirect
176. #4666C22semidirect
179. #4665C22semidirect
180. #4665C22semidirect
181. #4657C22semidirect
182. #4657C22semidirect
183. #4655C22semidirect
184. #4655C22semidirect
185. #4654C22semidirect
186. #4654C22semidirect
187. #4654C22semidirect
188. #4647C22semidirect
189. #4646C22semidirect
216. #2359D3semidirect
380. #878D4semidirect
509. #389C2×D3semidirect
528. #388C2×D3semidirect
529. #388C2×D3semidirect
536. #387C2×D3semidirect
537. #387C2×D3semidirect
553. #385C2×D3semidirect
564. C4×C4⋊C4C2×D3semidirect
571. C4×C22⋊C4C2×D3semidirect
1651. C3#59048semidirect

Maximal subgroups

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

subgroupindex
C2×#55382
C2×#55272
C3×#23592
#829012
#828592
#824072
#822462
#761102
#760472
#757122
#757092
#755962
#755382
#751702
#750072
#750022
#749822
#747522
#746902
#745962
#744512
#744272
#743802
#736732
#736392
#735972
#734992
#734742
#734692
#733492
C2×#46692
#590483