Finite Group Databasebeta

← #11634101

Subgroups — #11634101

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×#5706C211yesmaximal, characteristic, complemented
2C2×#5527C211yesmaximal, characteristic, complemented
3C3×#2479C211yesmaximal, characteristic, complemented
4#83108C211yesmaximal, characteristic, complemented
5#82241C211yesmaximal, characteristic, complemented
6#78107C211yesmaximal, characteristic, complemented
7#78030C211yesmaximal, characteristic, complemented
8#78025C211yesmaximal, characteristic, complemented
9#78020C211yesmaximal, characteristic, complemented
10#77948C211yesmaximal, characteristic, complemented
11#77863C211yesmaximal, characteristic, complemented
12#77114C211yesmaximal, characteristic, complemented
13#77045C211yesmaximal, characteristic, complemented
14#76454C211yesmaximal, characteristic, complemented
15#76305C211yesmaximal, characteristic, complemented
16#76208C211yesmaximal, characteristic, complemented
17#76007C211yesmaximal, characteristic, complemented
18#75882C211yesmaximal, characteristic, complemented
19#75859C211yesmaximal, characteristic, complemented
20#75837C211yesmaximal, characteristic, complemented
21D3×#388C211yesmaximal, characteristic, complemented
22#75712C211yesmaximal, characteristic, complemented
23#75536C211yesmaximal, characteristic, complemented
24#75332C211yesmaximal, characteristic, complemented
25#75310C211yesmaximal, characteristic, complemented
26#74898C211yesmaximal, characteristic, complemented
27#74890C211yesmaximal, characteristic, complemented
28#74596C211yesmaximal, characteristic, complemented
29#74518C211yesmaximal, characteristic, complemented
30C4×#894C211yesmaximal, characteristic, complemented
31#73693C211yesmaximal, characteristic, complemented
32#59048—31nomaximal, Sylow
33C2×C3×#126C2211yescharacteristic, complemented
34C2×C3×#117C2211yescharacteristic
35C2×#939C2211yescharacteristic
36C2×#937C2211yescharacteristic
37C2×#929C2211yescharacteristic
38C2×C4×#67C2211yescharacteristic
39C22×(C2×D3)⋊C4C2211yescharacteristic
40#5706—28no—
41#5527—28no—
42C2×#898C2211yescharacteristic
43C2×#896C2211yescharacteristic
44C2×#895C2211yescharacteristic
45C2×#894C2211yescharacteristic
46C2×#894C2211yescharacteristic
47C2×#894C2211yescharacteristic
48C2×#894C2211yescharacteristic
49C2×#894C2211yescharacteristic
50C2×#893C2211yescharacteristic
51C2×#892C2211yescharacteristic, complemented
52C2×D3×C4⋊C4C2211yescharacteristic
53C2×#889C2211yescharacteristic, complemented
54C2×#887C2211yescharacteristic, complemented
55C2×#885C2211yescharacteristic, complemented
56C2×#884C2211yescharacteristic
57C2×#884C2211yescharacteristic
58C2×#883C2211yescharacteristic
59C2×#883C2211yescharacteristic
60C2×#882C2211yescharacteristic
61C2×#882C2211yescharacteristic
62C2×#67⋊C4C2211yescharacteristic
63C2×#67⋊C4C2211yescharacteristic
64C2×#67⋊C4C2211yescharacteristic, complemented
65C2×D3×C22⋊C4C2211yescharacteristic
66C2×D3×C22⋊C4C2211yescharacteristic
67C2×D3×C22⋊C4C2211yescharacteristic
68C2×#878C2211yescharacteristic
69C2×#877C2211yescharacteristic, complemented
70C2×#876C2211yescharacteristic
71C2×#876C2211yescharacteristic, complemented
72C2×#875C2211yescharacteristic
73C2×C4×D12C2211yescharacteristic
74C2×#872C2211yescharacteristic
75C2×C42×D3C2211yescharacteristic
76C3×#399C2211yescharacteristic
77C3×#399C2211yescharacteristic, complemented
78C3×#398C2211yescharacteristic, complemented
79C3×#394C2211yescharacteristic
80C3×#390C2211yescharacteristic
81C3×#389C2211yescharacteristic, complemented
82C3×#388C2211yescharacteristic
83C3×#388C2211yescharacteristic, complemented
84C3×#388C2211yescharacteristic, complemented
85C3×#387C2211yescharacteristic, complemented
86C3×#386C2211yescharacteristic
87C3×#385C2211yescharacteristic
88C3×C4×C4⋊C4C2211yescharacteristic, complemented
89#5223C2211yescharacteristic
90#5220C2211yescharacteristic
91#5212C2211yescharacteristic
92#4994C2211yescharacteristic, complemented
93#4994C2211yescharacteristic, complemented
94#4993C2211yescharacteristic
95#4993C2211yescharacteristic
96#4993C2211yescharacteristic, complemented
97#4990C2211yescharacteristic
98#4990C2211yescharacteristic
99#4990C2211yescharacteristic, complemented
100#4990C2211yescharacteristic, complemented
101#4990C2211yescharacteristic, complemented
102#4989C2211yescharacteristic
103#4989C2211yescharacteristic
104#4988C2211yescharacteristic
105#4988C2211yescharacteristic
106#4988C2211yescharacteristic
107#4988C2211yescharacteristic
108#4987C2211yescharacteristic, complemented
109#4983C2211yescharacteristic, complemented
110#4982C2211yescharacteristic, complemented
111#4980C2211yescharacteristic, complemented
112#4976C2211yescharacteristic, complemented
113#4976C2211yescharacteristic, complemented
114#4975C2211yescharacteristic, complemented
115#4975C2211yescharacteristic, complemented
116Dic3×C4⋊C4C2211yescharacteristic, complemented
117#4973C2211yescharacteristic, complemented
118#4972C2211yescharacteristic, complemented
119#4961C2211yescharacteristic
120#4961C2211yescharacteristic, complemented
121#4960C2211yescharacteristic
122#4960C2211yescharacteristic
123#4960C2211yescharacteristic
124#4960C2211yescharacteristic, complemented
125#4959C2211yescharacteristic
126#4959C2211yescharacteristic
127#4958C2211yescharacteristic
128#4958C2211yescharacteristic
129#4957C2211yescharacteristic
130#4957C2211yescharacteristic
131#4957C2211yescharacteristic
132#4957C2211yescharacteristic
133#4957C2211yescharacteristic, complemented
134#4957C2211yescharacteristic, complemented
135#4956C2211yescharacteristic
136#4956C2211yescharacteristic, complemented
137#4951C2211yescharacteristic
138#4949C2211yescharacteristic
139#4949C2211yescharacteristic, complemented
140#4946C2211yescharacteristic, complemented
141#4945C2211yescharacteristic
142#4945C2211yescharacteristic, complemented
143#4944C2211yescharacteristic
144#4944C2211yescharacteristic
145#4942C2211yescharacteristic
146Dic3×C22⋊C4C2211yescharacteristic
147Dic3×C22⋊C4C2211yescharacteristic, complemented
148#4940C2211yescharacteristic
149#4940C2211yescharacteristic, complemented
150#4940C2211yescharacteristic, complemented
151#4939C2211yescharacteristic
152C4×(C2×D3)⋊C4C2211yescharacteristic
153C4×(C2×D3)⋊C4C2211yescharacteristic, complemented
154C4×(C2×D3)⋊C4C2211yescharacteristic, complemented
155C4×Dic3⋊C4C2211yescharacteristic, complemented
156C4×Dic3⋊C4C2211yescharacteristic, complemented
157C4×Dic3⋊C4C2211yescharacteristic, complemented
158#4677C2211yescharacteristic, complemented
159#4676C2211yescharacteristic
160#4676C2211yescharacteristic, complemented
161#4675C2211yescharacteristic
162#4675C2211yescharacteristic, complemented
163#4675C2211yescharacteristic, complemented
164#4674C2211yescharacteristic
165#4672C2211yescharacteristic, complemented
166#4671C2211yescharacteristic
167#4670C2211yescharacteristic
168#4669C2211yescharacteristic
169#4669C2211yescharacteristic
170#4669C2211yescharacteristic, complemented
171#4668C2211yescharacteristic
172#4666C2211yescharacteristic
173#4666C2211yescharacteristic
174#4665C2211yescharacteristic
175#4665C2211yescharacteristic
176#4665C2211yescharacteristic
177#4665C2211yescharacteristic, complemented
178#4665C2211yescharacteristic, complemented
179#4664C2211yescharacteristic
180D3×#95C2211yescharacteristic
181D3×#95C2211yescharacteristic
182#4657C2211yescharacteristic, complemented
183#4655C2211yescharacteristic, complemented
184#4655C2211yescharacteristic, complemented
185#4653C2211yescharacteristic, complemented
186#4652C2211yescharacteristic, complemented
187#4652C2211yescharacteristic, complemented
188#4652C2211yescharacteristic, 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#2479D311yescharacteristic, complemented
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#2359—31no—
217#2358—31no—
218#2354—31no—
219C4×#123—31no—
220C2×#388—31no—
221C24×D3C2311yescharacteristic
222C22×C3×D4C2311yescharacteristic
223C23×C3×C4C2311yescharacteristic
224C22×#67C2311yescharacteristic
225C22×#67C2311yescharacteristic
226C22×#67C2311yescharacteristic
227C22×#67C2311yescharacteristic
228C22×#67C2311yescharacteristic
229C22×#67C2311yescharacteristic
230C23×Dic3C2311yescharacteristic
231C23×Dic3C2311yescharacteristic
232C22×D12C2311yescharacteristic
233C22×D12C2311yescharacteristic
234C22×D12C2311yescharacteristic
235C22×D12C2311yescharacteristic
236C22×D12C2311yescharacteristic
237C22×C4×D3C2311yescharacteristic
238C22×C4×D3C2311yescharacteristic
239C22×C4×D3C2311yescharacteristic
240C22×C4×D3C2311yescharacteristic
241C22×C4×D3C2311yescharacteristic
242C22×C4×D3C2311yescharacteristic
243C22×C4×D3C2311yescharacteristic
244C22×C4×D3C2311yescharacteristic
245C22×Dic6C2311yescharacteristic
246C3×#126—24no—
247C3×#117—24no—
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×C4⋊C4C2311yescharacteristic
256C2×C3×C4⋊C4C2311yescharacteristic
257C2×C3×C4⋊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×C3×C42C2311yescharacteristic
273C2×#217C2311yescharacteristic
274C2×#217C2311yescharacteristic
275C2×#217C2311yescharacteristic
276C2×#217C2311yescharacteristic
277C2×#217C2311yescharacteristic
278C2×#217C2311yescharacteristic
279C2×#217C2311yescharacteristic
280#939—24no—
281#937—42no—
282#929—24no—
283C4×#67—24no—
284C2×(C2×D3)⋊C4—24no—
285C2×(C2×D3)⋊C4C2311yescharacteristic
286C2×(C2×D3)⋊C4C2311yescharacteristic
287C2×(C2×D3)⋊C4C2311yescharacteristic
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×C4⋊Dic3C2311yescharacteristic
320C2×C4⋊Dic3C2311yescharacteristic
321C2×C4⋊Dic3C2311yescharacteristic
322C2×C4⋊Dic3C2311yescharacteristic
323C2×C4⋊Dic3C2311yescharacteristic
324C2×Dic3⋊C4C2311yescharacteristic
325C2×Dic3⋊C4C2311yescharacteristic
326C2×Dic3⋊C4C2311yescharacteristic
327C2×Dic3⋊C4C2311yescharacteristic
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×C4×Dic3C2311yescharacteristic
343C2×C4×Dic3C2311yescharacteristic
344C2×C4×Dic3C2311yescharacteristic
345C2×C4×Dic3C2311yescharacteristic
346C2×C4×Dic3C2311yescharacteristic
347C2×C4×Dic3C2311yescharacteristic
348C2×C4×Dic3C2311yescharacteristic
349C2×C4×Dic3C2311yescharacteristic
350C2×C4×Dic3C2311yescharacteristic
351C2×C4×Dic3C2311yescharacteristic
352C2×C4×Dic3C2311yescharacteristic
353#898—24no—
354#896D418yescomplemented
355#895—42no—
356#894—24no—
357#894—24no—
358#894—24no—
359#894—24no—
360#894—42no—
361#893—24no—
362#892—24no—
363D3×C4⋊C4—42no—
364#889—24no—
365#887—24no—
366#885—24no—
367#884—24no—
368#884—42no—
369#883—24no—
370#883—24no—
371#882—24no—
372#882—24no—
373#67⋊C4—24no—
374#67⋊C4—24no—
375#67⋊C4—24no—
376D3×C22⋊C4—24no—
377D3×C22⋊C4—24no—
378D3×C22⋊C4—42no—
379#878—24no—
380#877—24no—
381#876—24no—
382#876—24no—
383#875—24no—
384C4×D12—24no—
385#872—24no—
386C42×D3—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×#126C2×D311yescharacteristic, complemented
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×#123—31no—
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×D4—31no—
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#399C2×D311yescharacteristic
467#399C2×D311yescharacteristic, complemented
468#398—31no—
469#398—31no—
470#398—31no—
471#398C2×D311yescharacteristic, complemented
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#394C2×D311yescharacteristic
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#390C2×D311yescharacteristic
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#388C2×D311yescharacteristic
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#387—31no—
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#385—31no—
553#385C2×D311yescharacteristic
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⋊C4—31no—
571C4×C22⋊C4—31no—
572C2×#95—31no—
573C2×#95—31no—
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—41no—
589C2×C3×D4—41no—
590C22×C3×C4—22no—
591C22×C3×C4—22no—
592C22×C3×C4—41no—
593C22×C3×C4C2411yescharacteristic
594C22×C3×C4C2411yescharacteristic
595C22×C3×C4C2411yescharacteristic
596C22×C3×C4C2411yescharacteristic
597C22×C3×C4C2411yescharacteristic
598C22×C3×C4C2411yescharacteristic
599C22×C3×C4C2411yescharacteristic
600C22×C3×C4C2411yescharacteristic
601C22×C3×C4C2411yescharacteristic
602C22×C3×C4C2411yescharacteristic
603C22×C3×C4C2411yescharacteristic
604C22×C3×C4C2411yescharacteristic
605C22×C3×C4C2411yescharacteristic
606C2×#67—22no—
607C2×#67—22no—
608C2×#67—22no—
609C2×#67—22no—
610C2×#67—22no—
611C2×#67—22no—
612C2×#67—22no—
613C2×#67—22no—
614C2×#67—22no—
615C2×#67—41no—
616C2×#67—41no—
617C2×#67—41no—
618C2×#67—41no—
619C2×#67—41no—
620C2×#67—41no—
621C2×#67—41no—
622C2×#67—41no—
623C2×#67—41no—
624C22×Dic3—22no—
625C22×Dic3—22no—
626C22×Dic3—22no—
627C22×Dic3—41no—
628C22×Dic3—41no—
629C22×Dic3—41no—
630C22×Dic3C2411yescharacteristic
631C22×Dic3C2411yescharacteristic
632C22×Dic3C2411yescharacteristic
633C22×Dic3C2411yescharacteristic
634C22×Dic3C2411yescharacteristic
635C22×Dic3C2411yescharacteristic
636C22×Dic3C2411yescharacteristic
637C22×Dic3C2411yescharacteristic
638C22×Dic3C2411yescharacteristic
639C22×Dic3C2411yescharacteristic
640C22×Dic3C2411yescharacteristic
641C22×Dic3C2411yescharacteristic
642C2×D12—22no—
643C2×D12—22no—
644C2×D12—22no—
645C2×D12—22no—
646C2×D12—22no—
647C2×D12—22no—
648C2×D12—22no—
649C2×D12—22no—
650C2×D12—41no—
651C2×D12—41no—
652C2×D12—41no—
653C2×D12—41no—
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—22no—
663C2×C4×D3—22no—
664C2×C4×D3—22no—
665C2×C4×D3—22no—
666C2×C4×D3—22no—
667C2×C4×D3—22no—
668C2×C4×D3—22no—
669C2×C4×D3—22no—
670C2×C4×D3—22no—
671C2×C4×D3—41no—
672C2×C4×D3—41no—
673C2×C4×D3—41no—
674C2×C4×D3—41no—
675C2×C4×D3—41no—
676C2×C4×D3—41no—
677C2×C4×D3—41no—
678C2×C4×D3—41no—
679C2×C4×D3—41no—
680C2×C4×D3C2×D414yes—
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—41no—
689C3×C4⋊C4—41no—
690C3×C4⋊C4—41no—
691C3×C4⋊C4—41no—
692C3×C4⋊C4—41no—
693C3×C4⋊C4C2×D414yes—
694C3×C22⋊C4—22no—
695C3×C22⋊C4—22no—
696C3×C22⋊C4—22no—
697C3×C22⋊C4—22no—
698C3×C22⋊C4—22no—
699C3×C22⋊C4—22no—
700C3×C22⋊C4—22no—
701C3×C22⋊C4—22no—
702C3×C22⋊C4—41no—
703C3×C22⋊C4—41no—
704C3×C22⋊C4—41no—
705C3×C42—22no—
706C3×C42—22no—
707C3×C42—22no—
708C3×C42—41no—
709#217—22no—
710#217—22no—
711#217—22no—
712#217—41no—
713#217—41no—
714#217—41no—
715#217#4114yes—
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—22no—
735(C2×D3)⋊C4—22no—
736(C2×D3)⋊C4—22no—
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)⋊C4C2×D414yes—
748(C2×D3)⋊C4C2×D414yes—
749(C2×D3)⋊C4#4114yes—
750C4⋊Dic3—22no—
751C4⋊Dic3—22no—
752C4⋊Dic3—22no—
753C4⋊Dic3—41no—
754C4⋊Dic3—41no—
755Dic3⋊C4—22no—
756Dic3⋊C4—22no—
757Dic3⋊C4—22no—
758Dic3⋊C4—22no—
759Dic3⋊C4—22no—
760Dic3⋊C4—22no—
761Dic3⋊C4—22no—
762Dic3⋊C4—22no—
763Dic3⋊C4—22no—
764Dic3⋊C4—22no—
765Dic3⋊C4—22no—
766Dic3⋊C4—41no—
767Dic3⋊C4—41no—
768Dic3⋊C4—41no—
769Dic3⋊C4—41no—
770Dic3⋊C4—41no—
771Dic3⋊C4C2×D414yes—
772Dic3⋊C4C2×D414yes—
773C4×Dic3—22no—
774C4×Dic3—22no—
775C4×Dic3—22no—
776C4×Dic3—22no—
777C4×Dic3—22no—
778C4×Dic3—22no—
779C4×Dic3—22no—
780C4×Dic3—41no—
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×C4—31no—
806C23×C4—31no—
807C23×C4—31no—
808C23×C4C22×D311yescharacteristic
809#126—24no—
810#126—64no—
811#126—64no—
812#126—64no—
813#125—64no—
814#124—64no—
815#124—64no—
816#123—64no—
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—64no—
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—122no—
868C2×C4⋊C4C22×D311yescharacteristic
869C2×C4⋊C4C22×D311yescharacteristic
870C2×C4⋊C4C22×D311yescharacteristic
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—64no—
920C2×C22⋊C4—64no—
921C2×C22⋊C4—64no—
922C2×C22⋊C4—122no—
923C2×C22⋊C4C22×D311yescharacteristic
924C2×C22⋊C4C22×D311yescharacteristic
925C2×C22⋊C4C22×D311yescharacteristic
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—31no—
945C2×C42—64no—
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#95—31no—
971#95—31no—
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×C3—21no—
992C23×C3—21no—
993C23×C3C2×#4112yes—
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—44no—
1021C22×D3—44no—
1022C22×D3—44no—
1023C22×D3—44no—
1024C22×D3—82no—
1025C22×D3—82no—
1026C22×D3—82no—
1027C22×D3C22×D412yes—
1028C22×D3C2×#4112yes—
1029C22×D3H(5,𝔽2)12yes—
1030C3×D4—82no—
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—21no—
1066C2×C3×C4—44no—
1067C2×C3×C4C22×D412yes—
1068C2×C3×C4C22×D412yes—
1069C2×C3×C4C22×D412yes—
1070C2×C3×C4C2×#4112yes—
1071#67—44no—
1072#67—44no—
1073#67—44no—
1074#67—44no—
1075#67—82no—
1076#67—82no—
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—21no—
1106C2×Dic3—21no—
1107C2×Dic3—44no—
1108C2×Dic3—82no—
1109C2×Dic3C22×D412yes—
1110C2×Dic3C22×D412yes—
1111C2×Dic3C22×D412yes—
1112C2×Dic3C2×#4112yes—
1113C2×Dic3C2×#4112yes—
1114C2×Dic3C2×#4112yes—
1115D12—44no—
1116D12—44no—
1117D12—82no—
1118D12—82no—
1119D12—82no—
1120C4×D3—44no—
1121C4×D3—44no—
1122C4×D3—44no—
1123C4×D3—44no—
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—41no—
1147C2×D4—41no—
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—62no—
1164C2×D4—62no—
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—31no—
1184C22×C4—31no—
1185C22×C4—31no—
1186C22×C4—31no—
1187C22×C4—31no—
1188C22×C4—31no—
1189C22×C4—34no—
1190C22×C4—31no—
1191C22×C4—31no—
1192C22×C4—31no—
1193C22×C4—31no—
1194C22×C4—31no—
1195C22×C4—31no—
1196C22×C4—41no—
1197C22×C4—62no—
1198C22×C4—62no—
1199C22×C4—62no—
1200C22×C4—62no—
1201C22×C4—62no—
1202C22×C4—62no—
1203C22×C4—62no—
1204C22×C4—62no—
1205C22×C4—62no—
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—121no—
1215C22×C4—121no—
1216C22×C4—121no—
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—34no—
1244C4⋊C4—34no—
1245C4⋊C4—41no—
1246C4⋊C4—41no—
1247C4⋊C4—41no—
1248C4⋊C4—41no—
1249C4⋊C4—41no—
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—62no—
1262C4⋊C4—62no—
1263C4⋊C4—62no—
1264C4⋊C4—121no—
1265C4⋊C4—121no—
1266C4⋊C4—121no—
1267C4⋊C4—121no—
1268C4⋊C4—121no—
1269C4⋊C4—121no—
1270C4⋊C4—121no—
1271C4⋊C4D3×D414yes—
1272C22⋊C4—22no—
1273C22⋊C4—22no—
1274C22⋊C4—22no—
1275C22⋊C4—22no—
1276C22⋊C4—22no—
1277C22⋊C4—22no—
1278C22⋊C4—22no—
1279C22⋊C4—22no—
1280C22⋊C4—34no—
1281C22⋊C4—34no—
1282C22⋊C4—34no—
1283C22⋊C4—34no—
1284C22⋊C4—41no—
1285C22⋊C4—41no—
1286C22⋊C4—41no—
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—62no—
1309C22⋊C4—62no—
1310C22⋊C4—62no—
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—121no—
1323C22⋊C4—121no—
1324C42—22no—
1325C42—22no—
1326C42—22no—
1327C42—41no—
1328C42—62no—
1329C42—62no—
1330C42—62no—
1331C42—62no—
1332C42—62no—
1333C42—62no—
1334C42—62no—
1335C42—121no—
1336C42—121no—
1337C42—121no—
1338C42—121no—
1339C22×C3—22no—
1340C22×C3—22no—
1341C22×C3—22no—
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×C3—41no—
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—22no—
1364C2×D3—22no—
1365C2×D3—22no—
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—88no—
1388C2×D3#55014yes—
1389C3×C4—22no—
1390C3×C4—22no—
1391C3×C4—22no—
1392C3×C4—22no—
1393C3×C4—41no—
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—22no—
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—21no—
1426C23—21no—
1427C23—32no—
1428C23—32no—
1429C23—32no—
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—61no—
1454C23—61no—
1455C23—124no—
1456C23—124no—
1457C23—124no—
1458C23—124no—
1459C23—242no—
1460C23—242no—
1461C23—242no—
1462C23D3×#4112yes—
1463C23C24×D311yescharacteristic
1464Q8—124no—
1465D4—82no—
1466D4—124no—
1467D4—124no—
1468D4—124no—
1469D4—124no—
1470D4—124no—
1471D4—124no—
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—21no—
1512C2×C4—32no—
1513C2×C4—32no—
1514C2×C4—32no—
1515C2×C4—32no—
1516C2×C4—32no—
1517C2×C4—32no—
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—124no—
1550C2×C4—124no—
1551C2×C4—124no—
1552C2×C4—124no—
1553C2×C4—124no—
1554C2×C4—124no—
1555C2×C4—124no—
1556C2×C4—242no—
1557C2×C4—242no—
1558C2×C4—242no—
1559C2×C4C2×D3×D412yes—
1560C2×C4C2×D3×D412yes—
1561C2×C4C2×D3×D412yes—
1562C2×C4D3×#4112yes—
1563C2×C3—42no—
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—24no—
1573D3—81no—
1574D3—81no—
1575D3—81no—
1576C22—22no—
1577C22—22no—
1578C22—22no—
1579C22—34no—
1580C22—41no—
1581C22—41no—
1582C22—41no—
1583C22—41no—
1584C22—41no—
1585C22—41no—
1586C22—41no—
1587C22—41no—
1588C22—41no—
1589C22—41no—
1590C22—41no—
1591C22—62no—
1592C22—62no—
1593C22—62no—
1594C22—62no—
1595C22—62no—
1596C22—62no—
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—121no—
1618C22—248no—
1619C22C22×D3×D411yescharacteristic
1620C22C2×D3×#4111yescharacteristic
1621C22C2×D3×#4111yescharacteristic
1622C22#596411yescharacteristic
1623C22#596411yescharacteristic
1624C22D3×H(5,𝔽2)11yescharacteristic
1625C22#596811yescharacteristic
1626C4—22no—
1627C4—22no—
1628C4—22no—
1629C4—22no—
1630C4—41no—
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—62no—
1645C4—121no—
1646C4—121no—
1647C4—121no—
1648C4—121no—
1649C4—121no—
1650C4—121no—
1651C3#5904811yescharacteristic, complemented, Sylow
1652C2—42no—
1653C2—64no—
1654C2—81no—
1655C2—241no—
1656C2—241no—
1657C2—241no—
1658C2#8603711yescharacteristic
1659C2#8616811yescharacteristic
1660C2#8656511yescharacteristic
1661C2#8670011yescharacteristic
1662C2D3×#55011yescharacteristic
1663C2#8679611yescharacteristic
1664C2#8682611yescharacteristic
subgroupG/H
center, FrattiniC23C24×D3
commutator, socle, cosocleC23×C3C25
FittingC3×#2479C2
hypercenter#2479D3
hypocenterC3#59048
LCSG ▷ C23×C3 ▷ C3
UCSC1 ◁ C23 ◁ #2479

Complements

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

NH ≅ G/Ntype
1. C2×#5706C2semidirect
2. C2×#5527C2semidirect
3. C3×#2479C2semidirect
4. #83108C2semidirect
5. #82241C2semidirect
6. #78107C2semidirect
7. #78030C2semidirect
8. #78025C2semidirect
9. #78020C2semidirect
10. #77948C2semidirect
11. #77863C2semidirect
12. #77114C2semidirect
13. #77045C2semidirect
14. #76454C2semidirect
15. #76305C2semidirect
16. #76208C2semidirect
17. #76007C2semidirect
18. #75882C2semidirect
19. #75859C2semidirect
20. #75837C2semidirect
21. D3×#388C2semidirect
22. #75712C2semidirect
23. #75536C2semidirect
24. #75332C2semidirect
25. #75310C2semidirect
26. #74898C2semidirect
27. #74890C2semidirect
28. #74596C2semidirect
29. #74518C2semidirect
30. C4×#894C2semidirect
31. #73693C2semidirect
33. C2×C3×#126C22semidirect
51. C2×#892C22semidirect
53. C2×#889C22semidirect
54. C2×#887C22semidirect
55. C2×#885C22semidirect
64. C2×#67⋊C4C22semidirect
69. C2×#877C22semidirect
71. C2×#876C22semidirect
77. C3×#399C22semidirect
78. C3×#398C22semidirect
81. C3×#389C22semidirect
83. C3×#388C22semidirect
84. C3×#388C22semidirect
85. C3×#387C22semidirect
88. C3×C4×C4⋊C4C22semidirect
92. #4994C22semidirect
93. #4994C22semidirect
96. #4993C22semidirect
99. #4990C22semidirect
100. #4990C22semidirect
101. #4990C22semidirect
108. #4987C22semidirect
109. #4983C22semidirect
110. #4982C22semidirect
111. #4980C22semidirect
112. #4976C22semidirect
113. #4976C22semidirect
114. #4975C22semidirect
115. #4975C22semidirect
116. Dic3×C4⋊C4C22semidirect
117. #4973C22semidirect
118. #4972C22semidirect
120. #4961C22semidirect
124. #4960C22semidirect
133. #4957C22semidirect
134. #4957C22semidirect
136. #4956C22semidirect
139. #4949C22semidirect
140. #4946C22semidirect
142. #4945C22semidirect
147. Dic3×C22⋊C4C22semidirect
149. #4940C22semidirect
150. #4940C22semidirect
153. C4×(C2×D3)⋊C4C22semidirect
154. C4×(C2×D3)⋊C4C22semidirect
155. C4×Dic3⋊C4C22semidirect
156. C4×Dic3⋊C4C22semidirect
157. C4×Dic3⋊C4C22semidirect
158. #4677C22semidirect
160. #4676C22semidirect
162. #4675C22semidirect
163. #4675C22semidirect
165. #4672C22semidirect
170. #4669C22semidirect
177. #4665C22semidirect
178. #4665C22semidirect
182. #4657C22semidirect
183. #4655C22semidirect
184. #4655C22semidirect
185. #4653C22semidirect
186. #4652C22semidirect
187. #4652C22semidirect
188. #4652C22semidirect
189. #4646C22semidirect
203. #2479D3semidirect
354. #896D4semidirect
422. C2×#126C2×D3semidirect
467. #399C2×D3semidirect
471. #398C2×D3semidirect
509. #389C2×D3semidirect
528. #388C2×D3semidirect
529. #388C2×D3semidirect
537. #387C2×D3semidirect
564. C4×C4⋊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×#57062
C2×#55272
C3×#24792
#831082
#822412
#781072
#780302
#780252
#780202
#779482
#778632
#771142
#770452
#764542
#763052
#762082
#760072
#758822
#758592
#758372
D3×#3882
#757122
#755362
#753322
#753102
#748982
#748902
#745962
#745182
C4×#8942
#736932
#590483