Finite Group Databasebeta

← #11634113

Subgroups — #11634113

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×#5679C211yesmaximal, characteristic, complemented
2C2×#5580C211yesmaximal, characteristic, complemented
3C3×#2448C211yesmaximal, characteristic, complemented
4#82991C211yesmaximal, characteristic, complemented
5#82494C211yesmaximal, characteristic, complemented
6#78107C211yesmaximal, characteristic, complemented
7#78070C211yesmaximal, characteristic, complemented
8#78030C211yesmaximal, characteristic, complemented
9#78025C211yesmaximal, characteristic, complemented
10#77682C211yesmaximal, characteristic, complemented
11#77668C211yesmaximal, characteristic, complemented
12#77575C211yesmaximal, characteristic, complemented
13#77493C211yesmaximal, characteristic, complemented
14#76616C211yesmaximal, characteristic, complemented
15#76571C211yesmaximal, characteristic, complemented
16#76454C211yesmaximal, characteristic, complemented
17#76442C211yesmaximal, characteristic, complemented
18#76355C211yesmaximal, characteristic, complemented
19#76329C211yesmaximal, characteristic, complemented
20#76208C211yesmaximal, characteristic, complemented
21#76027C211yesmaximal, characteristic, complemented
22#75847C211yesmaximal, characteristic, complemented
23#75836C211yesmaximal, characteristic, complemented
24D3×#388C211yesmaximal, characteristic, complemented
25#75538C211yesmaximal, characteristic, complemented
26#75517C211yesmaximal, characteristic, complemented
27#75504C211yesmaximal, characteristic, complemented
28#75480C211yesmaximal, characteristic, complemented
29#75453C211yesmaximal, characteristic, complemented
30#73772C211yesmaximal, characteristic, complemented
31#73639C211yesmaximal, characteristic, complemented
32#59048—31nomaximal, Sylow
33C2×C3×#124C2211yescharacteristic
34C2×C3×C4×Q8C2211yescharacteristic, complemented
35C2×#947C2211yescharacteristic, complemented
36C2×#946C2211yescharacteristic
37C2×#946C2211yescharacteristic
38C2×#937C2211yescharacteristic
39C2×#935C2211yescharacteristic
40#5679—28no—
41#5580—28no—
42C2×#898C2211yescharacteristic, complemented
43C2×#898C2211yescharacteristic, complemented
44C2×#895C2211yescharacteristic
45C2×#894C2211yescharacteristic
46C2×#894C2211yescharacteristic
47C2×#894C2211yescharacteristic
48C2×#894C2211yescharacteristic
49C2×#893C2211yescharacteristic
50C2×D3×C4⋊C4C2211yescharacteristic
51C2×#890C2211yescharacteristic, complemented
52C2×#884C2211yescharacteristic
53C2×#884C2211yescharacteristic
54C2×#884C2211yescharacteristic
55C2×#883C2211yescharacteristic
56C2×#883C2211yescharacteristic
57C2×#883C2211yescharacteristic
58C2×#882C2211yescharacteristic
59C2×#882C2211yescharacteristic
60C2×#67⋊C4C2211yescharacteristic
61C2×#67⋊C4C2211yescharacteristic
62C2×D3×C22⋊C4C2211yescharacteristic
63C2×D3×C22⋊C4C2211yescharacteristic
64C2×D3×C22⋊C4C2211yescharacteristic
65C2×D3×C22⋊C4C2211yescharacteristic
66C2×#879C2211yescharacteristic
67C2×#879C2211yescharacteristic
68C2×C4×D12C2211yescharacteristic
69C2×C4×D12C2211yescharacteristic
70C2×C4×D12C2211yescharacteristic, complemented
71C2×#872C2211yescharacteristic
72C2×#872C2211yescharacteristic
73C2×#872C2211yescharacteristic, complemented
74C2×#872C2211yescharacteristic, complemented
75C2×C42×D3C2211yescharacteristic
76C3×#399C2211yescharacteristic
77C3×#399C2211yescharacteristic, complemented
78C3×#397C2211yescharacteristic
79C3×#397C2211yescharacteristic, complemented
80C3×#391C2211yescharacteristic, complemented
81C3×#390C2211yescharacteristic
82C3×#390C2211yescharacteristic
83C3×#389C2211yescharacteristic, complemented
84C3×#388C2211yescharacteristic
85C3×#388C2211yescharacteristic
86C3×#388C2211yescharacteristic, complemented
87C3×#388C2211yescharacteristic, complemented
88C3×C4×C4⋊C4C2211yescharacteristic, complemented
89#5229C2211yescharacteristic, complemented
90#5223C2211yescharacteristic
91#5223C2211yescharacteristic
92#4994C2211yescharacteristic, complemented
93#4993C2211yescharacteristic
94#4993C2211yescharacteristic
95#4993C2211yescharacteristic, complemented
96#4991C2211yescharacteristic
97#4990C2211yescharacteristic
98#4990C2211yescharacteristic, complemented
99#4989C2211yescharacteristic
100#4989C2211yescharacteristic
101#4989C2211yescharacteristic, complemented
102#4988C2211yescharacteristic
103#4988C2211yescharacteristic
104#4987C2211yescharacteristic
105#4983C2211yescharacteristic, complemented
106#4983C2211yescharacteristic, complemented
107#4982C2211yescharacteristic, complemented
108#4980C2211yescharacteristic, complemented
109#4978C2211yescharacteristic, complemented
110#4976C2211yescharacteristic, complemented
111#4975C2211yescharacteristic, complemented
112#4975C2211yescharacteristic, complemented
113Dic3×C4⋊C4C2211yescharacteristic, complemented
114#4961C2211yescharacteristic
115#4961C2211yescharacteristic
116#4961C2211yescharacteristic, complemented
117#4960C2211yescharacteristic
118#4960C2211yescharacteristic
119#4960C2211yescharacteristic, complemented
120#4959C2211yescharacteristic
121#4958C2211yescharacteristic, complemented
122#4958C2211yescharacteristic, complemented
123#4957C2211yescharacteristic
124#4957C2211yescharacteristic
125#4957C2211yescharacteristic
126#4957C2211yescharacteristic
127#4957C2211yescharacteristic
128#4957C2211yescharacteristic, complemented
129#4957C2211yescharacteristic, complemented
130#4956C2211yescharacteristic
131#4956C2211yescharacteristic
132#4956C2211yescharacteristic
133#4956C2211yescharacteristic, complemented
134#4952C2211yescharacteristic
135#4951C2211yescharacteristic
136#4951C2211yescharacteristic
137#4949C2211yescharacteristic
138#4949C2211yescharacteristic, complemented
139#4948C2211yescharacteristic
140#4948C2211yescharacteristic, complemented
141#4945C2211yescharacteristic
142#4944C2211yescharacteristic
143#4944C2211yescharacteristic, complemented
144Dic3×C22⋊C4C2211yescharacteristic, complemented
145Dic3×C22⋊C4C2211yescharacteristic, complemented
146#4940C2211yescharacteristic
147#4940C2211yescharacteristic
148#4940C2211yescharacteristic, complemented
149#4940C2211yescharacteristic, complemented
150#4940C2211yescharacteristic, complemented
151#4939C2211yescharacteristic
152C4×(C2×D3)⋊C4C2211yescharacteristic
153C4×(C2×D3)⋊C4C2211yescharacteristic
154#4933C2211yescharacteristic, complemented
155#4933C2211yescharacteristic, complemented
156C4×Dic3⋊C4C2211yescharacteristic, complemented
157#4928C2211yescharacteristic, complemented
158#4677C2211yescharacteristic, complemented
159#4676C2211yescharacteristic, complemented
160#4674C2211yescharacteristic, complemented
161#4672C2211yescharacteristic, complemented
162#4671C2211yescharacteristic
163#4670C2211yescharacteristic
164#4669C2211yescharacteristic
165#4669C2211yescharacteristic, complemented
166#4669C2211yescharacteristic, complemented
167#4668C2211yescharacteristic
168#4668C2211yescharacteristic
169#4667C2211yescharacteristic
170#4667C2211yescharacteristic, complemented
171#4666C2211yescharacteristic
172#4666C2211yescharacteristic
173#4666C2211yescharacteristic, complemented
174#4665C2211yescharacteristic
175#4665C2211yescharacteristic
176#4665C2211yescharacteristic
177#4665C2211yescharacteristic
178#4665C2211yescharacteristic
179#4664C2211yescharacteristic
180D3×#95C2211yescharacteristic
181D3×#95C2211yescharacteristic
182#4657C2211yescharacteristic, complemented
183#4655C2211yescharacteristic, complemented
184#4654C2211yescharacteristic, complemented
185#4653C2211yescharacteristic, complemented
186#4653C2211yescharacteristic, complemented
187#4649C2211yescharacteristic, complemented
188#4649C2211yescharacteristic, complemented
189#4647C2211yescharacteristic, 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#2448D311yescharacteristic, complemented
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×Q8C2311yescharacteristic
223C22×C3×D4C2311yescharacteristic
224C22×#67C2311yescharacteristic
225C22×#67C2311yescharacteristic
226C22×#67C2311yescharacteristic
227C22×#67C2311yescharacteristic
228C22×#67C2311yescharacteristic
229C22×#67C2311yescharacteristic
230C23×Dic3C2311yescharacteristic
231C22×D12C2311yescharacteristic
232C22×D12C2311yescharacteristic
233C22×D12C2311yescharacteristic
234C22×D12C2311yescharacteristic
235C22×D12C2311yescharacteristic
236C22×C4×D3C2311yescharacteristic
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×C4×D3C2311yescharacteristic
246C3×#124—24no—
247C3×C4×Q8—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×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×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
280C2×#217C2311yescharacteristic
281#947—24no—
282#946—24no—
283#946D418yescomplemented
284#937—24no—
285#935—24no—
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×C4⋊Dic3C2311yescharacteristic
319C2×C4⋊Dic3C2311yescharacteristic
320C2×C4⋊Dic3C2311yescharacteristic
321C2×C4⋊Dic3C2311yescharacteristic
322C2×C4⋊Dic3C2311yescharacteristic
323C2×C4⋊Dic3C2311yescharacteristic
324C2×C4⋊Dic3C2311yescharacteristic
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×Dic3⋊C4C2311yescharacteristic
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#898—24no—
355#895—24no—
356#894—24no—
357#894—24no—
358#894—24no—
359#894—42no—
360#893—24no—
361D3×C4⋊C4—42no—
362#890—24no—
363#884—24no—
364#884—42no—
365#884—42no—
366#883—24no—
367#883—24no—
368#883—24no—
369#882—24no—
370#882—42no—
371#67⋊C4—24no—
372#67⋊C4—24no—
373D3×C22⋊C4—24no—
374D3×C22⋊C4—24no—
375D3×C22⋊C4—24no—
376D3×C22⋊C4—42no—
377#879—24no—
378#879—24no—
379C4×D12—24no—
380C4×D12—24no—
381C4×D12—24no—
382#872—24no—
383#872—24no—
384#872—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×#126—31no—
423C2×#125—31no—
424C2×#124—31no—
425C2×#124C2×D311yescharacteristic
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×Q8C2×D311yescharacteristic, complemented
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×#117—31no—
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#398—31no—
472#397—31no—
473#397—31no—
474#397C2×D311yescharacteristic
475#397C2×D311yescharacteristic, complemented
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#391C2×D311yescharacteristic, complemented
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#390C2×D311yescharacteristic
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#388C2×D311yescharacteristic
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#387—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#386—31no—
548#386—31no—
549#385—31no—
550#385—31no—
551#385—31no—
552#385—31no—
553#385—31no—
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×Q8—41no—
588C2×C3×Q8—41no—
589C2×C3×Q8C2×D414yes—
590C2×C3×D4—22no—
591C2×C3×D4—41no—
592C2×C3×D4—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—41no—
614C2×#67—41no—
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—41no—
626C22×Dic3—41no—
627C22×Dic3C2411yescharacteristic
628C22×Dic3C2411yescharacteristic
629C22×Dic3C2411yescharacteristic
630C22×Dic3C2411yescharacteristic
631C22×Dic3C2411yescharacteristic
632C22×Dic3C2411yescharacteristic
633C22×Dic3C2411yescharacteristic
634C22×Dic3C2411yescharacteristic
635C22×Dic3C2411yescharacteristic
636C22×Dic3C2411yescharacteristic
637C22×Dic3C2411yescharacteristic
638C22×Dic3C2411yescharacteristic
639C2×D12—22no—
640C2×D12—22no—
641C2×D12—22no—
642C2×D12—22no—
643C2×D12—22no—
644C2×D12—22no—
645C2×D12—22no—
646C2×D12—22no—
647C2×D12—22no—
648C2×D12—22no—
649C2×D12—41no—
650C2×D12—41no—
651C2×D12—41no—
652C2×D12—41no—
653C2×D12—41no—
654C2×C4×D3—22no—
655C2×C4×D3—22no—
656C2×C4×D3—22no—
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—22no—
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×D3—41no—
681C2×C4×D3—41no—
682C2×C4×D3—41no—
683C2×C4×D3C2×D414yes—
684C3×C4⋊C4—22no—
685C3×C4⋊C4—22no—
686C3×C4⋊C4—22no—
687C3×C4⋊C4—22no—
688C3×C4⋊C4—22no—
689C3×C4⋊C4—41no—
690C3×C4⋊C4—41no—
691C3×C4⋊C4—41no—
692C3×C22⋊C4—22no—
693C3×C22⋊C4—22no—
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—41no—
701C3×C22⋊C4—41no—
702C3×C22⋊C4—41no—
703C3×C22⋊C4—41no—
704C3×C42—22no—
705C3×C42—22no—
706C3×C42—22no—
707C3×C42—22no—
708C3×C42—41no—
709#217—22no—
710#217—22no—
711#217—22no—
712#217—22no—
713#217—22no—
714#217—22no—
715#217—41no—
716#217—41no—
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—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)⋊C4C2×D414yes—
746(C2×D3)⋊C4C2×D414yes—
747(C2×D3)⋊C4#4114yes—
748(C2×D3)⋊C4#4114yes—
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—22no—
764Dic3⋊C4—22no—
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—41no—
781C4×Dic3—41no—
782C4×Dic3—41no—
783C4×Dic3—41no—
784C25—31no—
785C22×Q8C22×D311yescharacteristic
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×C4—31no—
809#126—64no—
810#126—64no—
811#126—64no—
812#126—64no—
813#125—64no—
814#124—24no—
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—24no—
834C4×D4—64no—
835C4×D4—64no—
836C4×D4—64no—
837C4×D4—64no—
838C4×D4—64no—
839C4×D4—64no—
840#117—64no—
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—122no—
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—64no—
919C2×C22⋊C4—64no—
920C2×C22⋊C4—64no—
921C2×C22⋊C4—122no—
922C2×C22⋊C4C22×D311yescharacteristic
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—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#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×C3—21no—
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—44no—
1020C22×D3—44no—
1021C22×D3—44no—
1022C22×D3—44no—
1023C22×D3—82no—
1024C22×D3—82no—
1025C22×D3—82no—
1026C22×D3C22×D412yes—
1027C22×D3C2×#4112yes—
1028C22×D3C2×#4112yes—
1029C22×D3H(5,𝔽2)12yes—
1030C3×Q8—44no—
1031C3×D4—82no—
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×C4C22×D412yes—
1067C2×C3×C4C22×D412yes—
1068C2×C3×C4C22×D412yes—
1069C2×C3×C4C2×#4112yes—
1070C2×C3×C4C2×#4112yes—
1071#67—44no—
1072#67—44no—
1073#67—82no—
1074#67—82no—
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—21no—
1108C2×Dic3—82no—
1109C2×Dic3C22×D412yes—
1110C2×Dic3C22×D412yes—
1111C2×Dic3C22×D412yes—
1112C2×Dic3C2×#4112yes—
1113C2×Dic3C2×#4112yes—
1114D12—44no—
1115D12—44no—
1116D12—44no—
1117D12—44no—
1118D12—82no—
1119C4×D3—44no—
1120C4×D3—44no—
1121C4×D3—44no—
1122C4×D3—44no—
1123C4×D3—44no—
1124C4×D3—44no—
1125C4×D3—44no—
1126C4×D3—44no—
1127C4×D3—82no—
1128C4×D3—82no—
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—41no—
1143C2×Q8—41no—
1144C2×Q8D3×D414yes—
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—31no—
1182C22×C4—31no—
1183C22×C4—31no—
1184C22×C4—31no—
1185C22×C4—31no—
1186C22×C4—34no—
1187C22×C4—31no—
1188C22×C4—31no—
1189C22×C4—31no—
1190C22×C4—31no—
1191C22×C4—31no—
1192C22×C4—31no—
1193C22×C4—31no—
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—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—121no—
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—22no—
1244C4⋊C4—34no—
1245C4⋊C4—34no—
1246C4⋊C4—34no—
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—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—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—41no—
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—62no—
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—22no—
1328C42—41no—
1329C42—62no—
1330C42—62no—
1331C42—62no—
1332C42—62no—
1333C42—62no—
1334C42—62no—
1335C42—121no—
1336C42—121no—
1337C42—121no—
1338C42—121no—
1339C22×C3—41no—
1340C22×C3—41no—
1341C22×C3—41no—
1342C22×C3—41no—
1343C22×C3—41no—
1344C22×C3—41no—
1345C22×C3—41no—
1346C22×C3—41no—
1347C22×C3—41no—
1348C22×C3—41no—
1349C22×C3—41no—
1350C22×C3—41no—
1351C22×C3—41no—
1352C22×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—22no—
1367C2×D3—22no—
1368C2×D3—22no—
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—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—21no—
1426C23—21no—
1427C23—21no—
1428C23—32no—
1429C23—32no—
1430C23—32no—
1431C23—32no—
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—61no—
1456C23—124no—
1457C23—124no—
1458C23—124no—
1459C23—124no—
1460C23—242no—
1461C23—242no—
1462C23—242no—
1463C23C24×D311yescharacteristic
1464Q8—44no—
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—32no—
1512C2×C4—32no—
1513C2×C4—32no—
1514C2×C4—32no—
1515C2×C4—32no—
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—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—124no—
1548C2×C4—124no—
1549C2×C4—124no—
1550C2×C4—124no—
1551C2×C4—124no—
1552C2×C4—124no—
1553C2×C4—124no—
1554C2×C4—124no—
1555C2×C4—242no—
1556C2×C4—242no—
1557C2×C4—242no—
1558C2×C4C2×D3×D412yes—
1559C2×C4C2×D3×D412yes—
1560C2×C4C2×D3×D412yes—
1561C2×C4D3×#4112yes—
1562C2×C4D3×#4112yes—
1563C2×C3—81no—
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—42no—
1574D3—81no—
1575D3—81no—
1576C22—34no—
1577C22—41no—
1578C22—41no—
1579C22—41no—
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—62no—
1598C22—62no—
1599C22—62no—
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—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—64no—
1653C2—81no—
1654C2—81no—
1655C2—122no—
1656C2—241no—
1657C2—241no—
1658C2#8601211yescharacteristic
1659C2#8615011yescharacteristic
1660C2#8656511yescharacteristic
1661C2#8671011yescharacteristic
1662C2D3×#55011yescharacteristic
1663C2#8699111yescharacteristic
1664C2#8705311yescharacteristic
subgroupG/H
center, FrattiniC23C24×D3
commutator, socle, cosocleC23×C3C25
FittingC3×#2448C2
hypercenter#2448D3
hypocenterC3#59048
LCSG ▷ C23×C3 ▷ C3
UCSC1 ◁ C23 ◁ #2448

Complements

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

NH ≅ G/Ntype
1. C2×#5679C2semidirect
2. C2×#5580C2semidirect
3. C3×#2448C2semidirect
4. #82991C2semidirect
5. #82494C2semidirect
6. #78107C2semidirect
7. #78070C2semidirect
8. #78030C2semidirect
9. #78025C2semidirect
10. #77682C2semidirect
11. #77668C2semidirect
12. #77575C2semidirect
13. #77493C2semidirect
14. #76616C2semidirect
15. #76571C2semidirect
16. #76454C2semidirect
17. #76442C2semidirect
18. #76355C2semidirect
19. #76329C2semidirect
20. #76208C2semidirect
21. #76027C2semidirect
22. #75847C2semidirect
23. #75836C2semidirect
24. D3×#388C2semidirect
25. #75538C2semidirect
26. #75517C2semidirect
27. #75504C2semidirect
28. #75480C2semidirect
29. #75453C2semidirect
30. #73772C2semidirect
31. #73639C2semidirect
34. C2×C3×C4×Q8C22semidirect
35. C2×#947C22semidirect
42. C2×#898C22semidirect
43. C2×#898C22semidirect
51. C2×#890C22semidirect
70. C2×C4×D12C22semidirect
73. C2×#872C22semidirect
74. C2×#872C22semidirect
77. C3×#399C22semidirect
79. C3×#397C22semidirect
80. C3×#391C22semidirect
83. C3×#389C22semidirect
86. C3×#388C22semidirect
87. C3×#388C22semidirect
88. C3×C4×C4⋊C4C22semidirect
89. #5229C22semidirect
92. #4994C22semidirect
95. #4993C22semidirect
98. #4990C22semidirect
101. #4989C22semidirect
105. #4983C22semidirect
106. #4983C22semidirect
107. #4982C22semidirect
108. #4980C22semidirect
109. #4978C22semidirect
110. #4976C22semidirect
111. #4975C22semidirect
112. #4975C22semidirect
113. Dic3×C4⋊C4C22semidirect
116. #4961C22semidirect
119. #4960C22semidirect
121. #4958C22semidirect
122. #4958C22semidirect
128. #4957C22semidirect
129. #4957C22semidirect
133. #4956C22semidirect
138. #4949C22semidirect
140. #4948C22semidirect
143. #4944C22semidirect
144. Dic3×C22⋊C4C22semidirect
145. Dic3×C22⋊C4C22semidirect
148. #4940C22semidirect
149. #4940C22semidirect
150. #4940C22semidirect
154. #4933C22semidirect
155. #4933C22semidirect
156. C4×Dic3⋊C4C22semidirect
157. #4928C22semidirect
158. #4677C22semidirect
159. #4676C22semidirect
160. #4674C22semidirect
161. #4672C22semidirect
165. #4669C22semidirect
166. #4669C22semidirect
170. #4667C22semidirect
173. #4666C22semidirect
182. #4657C22semidirect
183. #4655C22semidirect
184. #4654C22semidirect
185. #4653C22semidirect
186. #4653C22semidirect
187. #4649C22semidirect
188. #4649C22semidirect
189. #4647C22semidirect
208. #2448D3semidirect
283. #946D4semidirect
443. C2×C4×Q8C2×D3semidirect
467. #399C2×D3semidirect
475. #397C2×D3semidirect
493. #391C2×D3semidirect
509. #389C2×D3semidirect
528. #388C2×D3semidirect
529. #388C2×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×#56792
C2×#55802
C3×#24482
#829912
#824942
#781072
#780702
#780302
#780252
#776822
#776682
#775752
#774932
#766162
#765712
#764542
#764422
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