Finite Group Databasebeta

← #11025886

Subgroups — #11025886

Order 768.

2292 conjugacy classes of subgroups.

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

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#5704C211yesmaximal, characteristic, complemented
2C2×#5691C211yesmaximal, characteristic, complemented
3C3×#2519C211yesmaximal, characteristic, complemented
4#83080C211yesmaximal, characteristic, complemented
5#83059C211yesmaximal, characteristic, complemented
6#78101C211yesmaximal, characteristic, complemented
7#78065C211yesmaximal, characteristic, complemented
8#77967C211yesmaximal, characteristic, complemented
9#77865C211yesmaximal, characteristic, complemented
10#77753C211yesmaximal, characteristic, complemented
11#77744C211yesmaximal, characteristic, complemented
12#77427C211yesmaximal, characteristic, complemented
13#77416C211yesmaximal, characteristic, complemented
14#76259C211yesmaximal, characteristic, complemented
15#76019C211yesmaximal, characteristic, complemented
16#75960C211yesmaximal, characteristic, complemented
17#75919C211yesmaximal, characteristic, complemented
18#75916C211yesmaximal, characteristic, complemented
19#75910C211yesmaximal, characteristic, complemented
20#75854C211yesmaximal, characteristic, complemented
21#75833C211yesmaximal, characteristic, complemented
22#75526C211yesmaximal, characteristic, complemented
23#75508C211yesmaximal, characteristic, complemented
24#75377C211yesmaximal, characteristic, complemented
25#75010C211yesmaximal, characteristic, complemented
26#74231C211yesmaximal, characteristic, complemented
27#74200C211yesmaximal, characteristic, complemented
28#73788C211yesmaximal, characteristic, complemented
29#73765C211yesmaximal, characteristic, complemented
30C4×#894C211yesmaximal, characteristic, complemented
31#73649C211yesmaximal, characteristic, complemented
32#37733—31nomaximal, Sylow
33C2×C3×#126C2211yescharacteristic
34C2×C3×#125C2211yescharacteristic, complemented
35#5704—28no—
36#5691—28no—
37C2×#898C2211yescharacteristic
38C2×#898C2211yescharacteristic
39C2×#898C2211yescharacteristic, complemented
40C2×#897C2211yescharacteristic, complemented
41C2×#896C2211yescharacteristic
42C2×#896C2211yescharacteristic
43C2×#895C2211yescharacteristic
44C2×#895C2211yescharacteristic
45C2×#895C2211yescharacteristic
46C2×#895C2211yescharacteristic
47C2×#895C2211yescharacteristic
48C2×#894C2211yescharacteristic
49C2×#894C2211yescharacteristic
50C2×#894C2211yescharacteristic, complemented
51C2×#894C2211yescharacteristic, complemented
52C2×#893C2211yescharacteristic
53C2×#893C2211yescharacteristic
54C2×#893C2211yescharacteristic
55C2×#893C2211yescharacteristic, complemented
56C2×#892C2211yescharacteristic
57C2×#892C2211yescharacteristic, complemented
58C2×#888C2211yescharacteristic, complemented
59C2×#887C2211yescharacteristic, complemented
60C2×#885C2211yescharacteristic
61C2×#884C2211yescharacteristic
62C2×#883C2211yescharacteristic
63C2×#883C2211yescharacteristic
64C2×#882C2211yescharacteristic
65C2×#882C2211yescharacteristic
66C2×#882C2211yescharacteristic
67C2×D3×C22⋊C4C2211yescharacteristic
68C2×D3×C22⋊C4C2211yescharacteristic
69C2×#875C2211yescharacteristic
70C2×#875C2211yescharacteristic
71C2×C4×D12C2211yescharacteristic
72C2×C42×D3C2211yescharacteristic, complemented
73C3×#399C2211yescharacteristic
74C3×#398C2211yescharacteristic, complemented
75C3×#398C2211yescharacteristic, complemented
76C3×#396C2211yescharacteristic
77C3×#389C2211yescharacteristic, complemented
78C3×#388C2211yescharacteristic
79C3×#388C2211yescharacteristic
80C3×#388C2211yescharacteristic
81C3×#388C2211yescharacteristic
82C3×#387C2211yescharacteristic, complemented
83C3×#382C2211yescharacteristic, complemented
84C3×C4×C4⋊C4C2211yescharacteristic, complemented
85C3×C4×C4⋊C4C2211yescharacteristic, complemented
86#4994C2211yescharacteristic
87#4994C2211yescharacteristic, complemented
88#4994C2211yescharacteristic, complemented
89#4993C2211yescharacteristic, complemented
90#4992C2211yescharacteristic
91#4991C2211yescharacteristic
92#4991C2211yescharacteristic
93#4991C2211yescharacteristic
94#4991C2211yescharacteristic
95#4990C2211yescharacteristic
96#4990C2211yescharacteristic, complemented
97#4990C2211yescharacteristic, complemented
98#4989C2211yescharacteristic
99#4989C2211yescharacteristic
100#4989C2211yescharacteristic
101#4989C2211yescharacteristic, complemented
102#4989C2211yescharacteristic, complemented
103#4989C2211yescharacteristic, complemented
104#4988C2211yescharacteristic, complemented
105#4987C2211yescharacteristic
106#4987C2211yescharacteristic, complemented
107#4984C2211yescharacteristic, complemented
108#4981C2211yescharacteristic, complemented
109#4980C2211yescharacteristic, complemented
110#4980C2211yescharacteristic, complemented
111#4978C2211yescharacteristic, complemented
112#4978C2211yescharacteristic, complemented
113#4976C2211yescharacteristic, complemented
114#4972C2211yescharacteristic, complemented
115#4961C2211yescharacteristic
116#4961C2211yescharacteristic
117#4960C2211yescharacteristic
118#4960C2211yescharacteristic
119#4959C2211yescharacteristic
120#4959C2211yescharacteristic
121#4957C2211yescharacteristic
122#4957C2211yescharacteristic
123#4957C2211yescharacteristic
124#4956C2211yescharacteristic
125#4956C2211yescharacteristic
126#4955C2211yescharacteristic
127#4955C2211yescharacteristic
128#4951C2211yescharacteristic
129#4949C2211yescharacteristic
130#4947C2211yescharacteristic
131#4945C2211yescharacteristic
132#4944C2211yescharacteristic
133#4944C2211yescharacteristic
134#4940C2211yescharacteristic
135#4940C2211yescharacteristic, complemented
136#4940C2211yescharacteristic, complemented
137#4940C2211yescharacteristic, complemented
138#4939C2211yescharacteristic
139#4939C2211yescharacteristic
140#4939C2211yescharacteristic
141#4939C2211yescharacteristic, complemented
142C4×(C2×D3)⋊C4C2211yescharacteristic
143C4×(C2×D3)⋊C4C2211yescharacteristic
144C4×(C2×D3)⋊C4C2211yescharacteristic
145C4×(C2×D3)⋊C4C2211yescharacteristic, complemented
146C4×(C2×D3)⋊C4C2211yescharacteristic, complemented
147C4×(C2×D3)⋊C4C2211yescharacteristic, complemented
148#4933C2211yescharacteristic, complemented
149C4×Dic3⋊C4C2211yescharacteristic, complemented
150#4676C2211yescharacteristic
151#4675C2211yescharacteristic
152#4675C2211yescharacteristic, complemented
153#4675C2211yescharacteristic, complemented
154#4674C2211yescharacteristic
155#4673C2211yescharacteristic, complemented
156#4673C2211yescharacteristic, complemented
157#4672C2211yescharacteristic
158#4672C2211yescharacteristic
159#4672C2211yescharacteristic
160#4672C2211yescharacteristic
161#4672C2211yescharacteristic, complemented
162#4672C2211yescharacteristic, complemented
163#4671C2211yescharacteristic
164#4671C2211yescharacteristic, complemented
165#4670C2211yescharacteristic
166#4670C2211yescharacteristic, complemented
167#4669C2211yescharacteristic
168#4669C2211yescharacteristic
169#4669C2211yescharacteristic, complemented
170#4668C2211yescharacteristic
171#4667C2211yescharacteristic
172#4667C2211yescharacteristic, complemented
173#4666C2211yescharacteristic
174#4665C2211yescharacteristic
175#4665C2211yescharacteristic
176#4665C2211yescharacteristic
177#4665C2211yescharacteristic
178#4665C2211yescharacteristic
179#4665C2211yescharacteristic, complemented
180#4665C2211yescharacteristic, complemented
181#4664C2211yescharacteristic
182#4664C2211yescharacteristic, complemented
183#4657C2211yescharacteristic, complemented
184#4657C2211yescharacteristic, complemented
185#4656C2211yescharacteristic, complemented
186#4655C2211yescharacteristic, complemented
187#4647C2211yescharacteristic, complemented
188#4647C2211yescharacteristic, complemented
189#4646C2211yescharacteristic, complemented
190C2×#538—31no—
191C2×#529—31no—
192#2854—31no—
193#2723—31no—
194#2722—31no—
195#2705—31no—
196#2685—31no—
197#2681—31no—
198#2678—31no—
199#2674—31no—
200#2671—31no—
201#2661—31no—
202#2630—31no—
203#2519D311yescharacteristic, complemented
204#2491—31no—
205#2479—31no—
206#2474—31no—
207#2472—31no—
208#2466—31no—
209#2464—31no—
210#2460—31no—
211#2459—31no—
212#2458—31no—
213#2429—31no—
214#2424—31no—
215#2420—31no—
216#2418—31no—
217#2363—31no—
218#2342—31no—
219#2335—31no—
220C4×#123—31no—
221C24×D3C2311yescharacteristic
222C22×#67C2311yescharacteristic
223C22×#67C2311yescharacteristic
224C22×#67C2311yescharacteristic
225C22×D12C2311yescharacteristic
226C22×D12C2311yescharacteristic
227C22×D12C2311yescharacteristic
228C22×D12C2311yescharacteristic
229C22×D12C2311yescharacteristic
230C22×D12C2311yescharacteristic
231C22×D12C2311yescharacteristic
232C22×D12C2311yescharacteristic
233C22×D12C2311yescharacteristic
234C22×C4×D3C2311yescharacteristic
235C22×C4×D3C2311yescharacteristic
236C22×C4×D3C2311yescharacteristic
237C22×C4×D3C2311yescharacteristic
238C22×C4×D3C2311yescharacteristic
239C22×C4×D3C2311yescharacteristic
240C22×C4×D3C2311yescharacteristic
241C22×C4×D3C2311yescharacteristic
242C22×C4×D3C2311yescharacteristic
243C22×Dic6C2311yescharacteristic
244C22×Dic6C2311yescharacteristic
245C3×#126—24no—
246C3×#125—24no—
247C2×C3×C4⋊C4C2311yescharacteristic
248C2×C3×C4⋊C4C2311yescharacteristic
249C2×C3×C4⋊C4C2311yescharacteristic
250C2×C3×C4⋊C4C2311yescharacteristic
251C2×C3×C4⋊C4C2311yescharacteristic
252C2×C3×C4⋊C4C2311yescharacteristic
253C2×C3×C4⋊C4C2311yescharacteristic
254C2×C3×C4⋊C4C2311yescharacteristic
255C2×C3×C4⋊C4C2311yescharacteristic
256C2×C3×C4⋊C4C2311yescharacteristic
257C2×C3×C4⋊C4C2311yescharacteristic
258C2×C3×C4⋊C4C2311yescharacteristic
259C2×C3×C4⋊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×C42C2311yescharacteristic
268C2×C3×C42C2311yescharacteristic
269C2×C3×C42C2311yescharacteristic
270C2×C3×C42C2311yescharacteristic
271C2×C3×C42C2311yescharacteristic
272C2×#217C2311yescharacteristic
273C2×#217C2311yescharacteristic
274C2×#217C2311yescharacteristic
275C2×#217C2311yescharacteristic
276C2×(C2×D3)⋊C4C2311yescharacteristic
277C2×(C2×D3)⋊C4C2311yescharacteristic
278C2×(C2×D3)⋊C4C2311yescharacteristic
279C2×(C2×D3)⋊C4C2311yescharacteristic
280C2×(C2×D3)⋊C4C2311yescharacteristic
281C2×(C2×D3)⋊C4C2311yescharacteristic
282C2×(C2×D3)⋊C4C2311yescharacteristic
283C2×(C2×D3)⋊C4C2311yescharacteristic
284C2×(C2×D3)⋊C4C2311yescharacteristic
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×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×C4×Dic3C2311yescharacteristic
339C2×C4×Dic3C2311yescharacteristic
340C2×C4×Dic3C2311yescharacteristic
341C2×C4×Dic3C2311yescharacteristic
342C2×C4×Dic3C2311yescharacteristic
343C2×C4×Dic3C2311yescharacteristic
344C2×C4×Dic3C2311yescharacteristic
345C2×C4×Dic3C2311yescharacteristic
346#898—24no—
347#898—24no—
348#898—24no—
349#897—24no—
350#896—24no—
351#896—42no—
352#895—24no—
353#895—24no—
354#895—24no—
355#895—24no—
356#895—42no—
357#894—24no—
358#894—24no—
359#894—42no—
360#894D418yescomplemented
361#893—24no—
362#893—24no—
363#893—24no—
364#893—24no—
365#892—24no—
366#892—24no—
367#888—42no—
368#887—24no—
369#885—24no—
370#884—24no—
371#883—24no—
372#883—42no—
373#882—24no—
374#882—24no—
375#882—42no—
376D3×C22⋊C4—24no—
377D3×C22⋊C4—24no—
378#875—24no—
379#875—24no—
380C4×D12—24no—
381C42×D3—24no—
382C3×#95C2311yescharacteristic
383C3×#95C2311yescharacteristic
384C3×#95C2311yescharacteristic
385C3×#95C2311yescharacteristic
386C3×#95C2311yescharacteristic
387C3×#95C2311yescharacteristic
388C3×#95C2311yescharacteristic
389C3×#95C2311yescharacteristic
390C3×#95C2311yescharacteristic
391C3×#95C2311yescharacteristic
392C3⋊#95C2311yescharacteristic
393C3⋊#95C2311yescharacteristic
394C3⋊#95C2311yescharacteristic
395C3⋊#95C2311yescharacteristic
396C3⋊#95C2311yescharacteristic
397C3⋊#95C2311yescharacteristic
398C3⋊#95C2311yescharacteristic
399C3⋊#95C2311yescharacteristic
400C3⋊#95C2311yescharacteristic
401C3⋊#95C2311yescharacteristic
402C3⋊#95C2311yescharacteristic
403C3⋊#95C2311yescharacteristic
404C3⋊#95C2311yescharacteristic
405C3⋊#95C2311yescharacteristic
406C3⋊#95C2311yescharacteristic
407C3⋊#95C2311yescharacteristic
408C3⋊#95C2311yescharacteristic
409C3⋊#95C2311yescharacteristic
410C3⋊#95C2311yescharacteristic
411C3⋊#95C2311yescharacteristic
412C3⋊#95C2311yescharacteristic
413C3⋊#95C2311yescharacteristic
414#538—68no—
415C2×C4⋊Q8—31no—
416#529—68no—
417C2×#126—31no—
418C2×#126—31no—
419C2×#126—31no—
420C2×#126C2×D311yescharacteristic
421C2×#125C2×D311yescharacteristic, complemented
422C2×#124—31no—
423C2×#124—31no—
424C2×#124—31no—
425C2×#123—31no—
426C2×#123—31no—
427C2×#123—31no—
428C2×#123—31no—
429C2×#123—31no—
430C2×#123—31no—
431C2×C22⋊Q8—31no—
432C2×C22⋊Q8—31no—
433C2×C22⋊Q8—31no—
434C2×#121—31no—
435C2×#121—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×#117—31no—
450C2×#117—31no—
451C22×C22⋊C4—31no—
452C22×C22⋊C4—31no—
453C22×C42—31no—
454#399—31no—
455#399—31no—
456#399C2×D311yescharacteristic
457#398—31no—
458#398—31no—
459#398—31no—
460#398C2×D311yescharacteristic, complemented
461#398C2×D311yescharacteristic, complemented
462#397—31no—
463#397—31no—
464#397—31no—
465#397—31no—
466#397—31no—
467#396—31no—
468#396—31no—
469#396—31no—
470#396—31no—
471#396C2×D311yescharacteristic
472#395—31no—
473#394—31no—
474#394—31no—
475#394—31no—
476#394—31no—
477#394—31no—
478#394—31no—
479#394—31no—
480#394—31no—
481#394—31no—
482#394—31no—
483#394—31no—
484#394—31no—
485#394—31no—
486#394—31no—
487#393—31no—
488#393—31no—
489#393—31no—
490#392—31no—
491#392—31no—
492#392—31no—
493#392—31no—
494#391—31no—
495#390—31no—
496#390—31no—
497#390—31no—
498#390—31no—
499#390—31no—
500#390—31no—
501#390—31no—
502#390—31no—
503#389—31no—
504#389—31no—
505#389—31no—
506#389—31no—
507#389—31no—
508#389C2×D311yescharacteristic, complemented
509#388—31no—
510#388—31no—
511#388—31no—
512#388—31no—
513#388—31no—
514#388—31no—
515#388—31no—
516#388—31no—
517#388—31no—
518#388—31no—
519#388—31no—
520#388—31no—
521#388—31no—
522#388—31no—
523#388—31no—
524#388—31no—
525#388C2×D311yescharacteristic
526#388C2×D311yescharacteristic
527#388C2×D311yescharacteristic
528#388C2×D311yescharacteristic
529#387—31no—
530#387—31no—
531#387—31no—
532#387—31no—
533#387—31no—
534#387—31no—
535#387C2×D311yescharacteristic, complemented
536#386—31no—
537#386—31no—
538#386—31no—
539#386—31no—
540#386—31no—
541#386—31no—
542#386—31no—
543#386—31no—
544#386—31no—
545#385—31no—
546#385—31no—
547#385—31no—
548#385—31no—
549#385—31no—
550#385—31no—
551#385—31no—
552#382C2×D311yescharacteristic, complemented
553#381—31no—
554#381—31no—
555#380—31no—
556#380—31no—
557#380—31no—
558#380—31no—
559#379—31no—
560#379—31no—
561C4×C4⋊C4—31no—
562C4×C4⋊C4C2×D311yescharacteristic, complemented
563C4×C4⋊C4C2×D311yescharacteristic, complemented
564C4×C22⋊C4—31no—
565C4×C22⋊C4—31no—
566C4×C22⋊C4—31no—
567C4×C22⋊C4—31no—
568C4×C22⋊C4—31no—
569C4×C22⋊C4—31no—
570C4×C22⋊C4—31no—
571C24×C3C2411yescharacteristic
572C23×D3—22no—
573C23×D3—22no—
574C23×D3—41no—
575C23×D3—41no—
576C23×D3—41no—
577C23×D3—41no—
578C23×D3—41no—
579C23×D3C2411yescharacteristic
580C23×D3C2411yescharacteristic
581C23×D3C2411yescharacteristic
582C23×D3C2411yescharacteristic
583C23×D3C2411yescharacteristic
584C22×C3×C4C2411yescharacteristic
585C22×C3×C4C2411yescharacteristic
586C22×C3×C4C2411yescharacteristic
587C22×C3×C4C2411yescharacteristic
588C22×C3×C4C2411yescharacteristic
589C22×C3×C4C2411yescharacteristic
590C22×C3×C4C2411yescharacteristic
591C22×C3×C4C2411yescharacteristic
592C22×C3×C4C2411yescharacteristic
593C22×C3×C4C2411yescharacteristic
594C22×C3×C4C2411yescharacteristic
595C22×C3×C4C2411yescharacteristic
596C22×C3×C4C2411yescharacteristic
597C22×C3×C4C2411yescharacteristic
598C2×#67—22no—
599C2×#67—22no—
600C2×#67—41no—
601C2×#67—41no—
602C2×#67—41no—
603C2×#67—41no—
604C2×#67—41no—
605C2×#67—41no—
606C2×#67—41no—
607C22×Dic3C2411yescharacteristic
608C22×Dic3C2411yescharacteristic
609C22×Dic3C2411yescharacteristic
610C22×Dic3C2411yescharacteristic
611C22×Dic3C2411yescharacteristic
612C22×Dic3C2411yescharacteristic
613C22×Dic3C2411yescharacteristic
614C22×Dic3C2411yescharacteristic
615C22×Dic3C2411yescharacteristic
616C22×Dic3C2411yescharacteristic
617C22×Dic3C2411yescharacteristic
618C2×D12—22no—
619C2×D12—22no—
620C2×D12—22no—
621C2×D12—22no—
622C2×D12—22no—
623C2×D12—22no—
624C2×D12—22no—
625C2×D12—22no—
626C2×D12—22no—
627C2×D12—22no—
628C2×D12—22no—
629C2×D12—41no—
630C2×D12—41no—
631C2×D12—41no—
632C2×D12—41no—
633C2×D12—41no—
634C2×D12—41no—
635C2×D12—41no—
636C2×D12—41no—
637C2×D12—41no—
638C2×D12—41no—
639C2×D12—41no—
640C2×D12—41no—
641C2×D12—41no—
642C2×D12—41no—
643C2×D12—41no—
644C2×D12C2×D414yes—
645C2×C4×D3—22no—
646C2×C4×D3—22no—
647C2×C4×D3—22no—
648C2×C4×D3—22no—
649C2×C4×D3—22no—
650C2×C4×D3—22no—
651C2×C4×D3—22no—
652C2×C4×D3—22no—
653C2×C4×D3—22no—
654C2×C4×D3—22no—
655C2×C4×D3—22no—
656C2×C4×D3—22no—
657C2×C4×D3—41no—
658C2×C4×D3—41no—
659C2×C4×D3—41no—
660C2×C4×D3—41no—
661C2×C4×D3—41no—
662C2×C4×D3—41no—
663C2×C4×D3—41no—
664C2×C4×D3—41no—
665C2×C4×D3—41no—
666C2×C4×D3—41no—
667C2×C4×D3—41no—
668C2×C4×D3—41no—
669C2×C4×D3—41no—
670C2×C4×D3—41no—
671C2×C4×D3C2×D414yes—
672C2×Dic6—22no—
673C2×Dic6—22no—
674C2×Dic6—22no—
675C2×Dic6—41no—
676C2×Dic6—41no—
677C2×Dic6—41no—
678C3×C4⋊C4—22no—
679C3×C4⋊C4—22no—
680C3×C4⋊C4—22no—
681C3×C4⋊C4—22no—
682C3×C4⋊C4—22no—
683C3×C4⋊C4—22no—
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⋊C4C2×D414yes—
691C3×C22⋊C4—22no—
692C3×C22⋊C4—22no—
693C3×C22⋊C4—22no—
694C3×C22⋊C4—22no—
695C3×C22⋊C4—22no—
696C3×C22⋊C4—41no—
697C3×C22⋊C4—41no—
698C3×C42—22no—
699C3×C42—22no—
700C3×C42—41no—
701C3×C42—41no—
702C3×C42—41no—
703#217—22no—
704#217—22no—
705#217—41no—
706#217—41no—
707(C2×D3)⋊C4—22no—
708(C2×D3)⋊C4—22no—
709(C2×D3)⋊C4—22no—
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—41no—
728(C2×D3)⋊C4—41no—
729(C2×D3)⋊C4—41no—
730(C2×D3)⋊C4—41no—
731(C2×D3)⋊C4—41no—
732(C2×D3)⋊C4—41no—
733(C2×D3)⋊C4—41no—
734(C2×D3)⋊C4—41no—
735(C2×D3)⋊C4—41no—
736(C2×D3)⋊C4—41no—
737(C2×D3)⋊C4—41no—
738(C2×D3)⋊C4—41no—
739(C2×D3)⋊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)⋊C4C2×D414yes—
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—
755C4⋊Dic3—41no—
756Dic3⋊C4—22no—
757Dic3⋊C4—22no—
758Dic3⋊C4—22no—
759Dic3⋊C4—22no—
760Dic3⋊C4—41no—
761Dic3⋊C4—41no—
762Dic3⋊C4—41no—
763Dic3⋊C4—41no—
764Dic3⋊C4—41no—
765Dic3⋊C4—41no—
766Dic3⋊C4—41no—
767Dic3⋊C4—41no—
768Dic3⋊C4C2×D414yes—
769C4×Dic3—22no—
770C4×Dic3—22no—
771C4×Dic3—22no—
772C4×Dic3—22no—
773C4×Dic3—22no—
774C4×Dic3—22no—
775C4×Dic3—41no—
776C4×Dic3—41no—
777C25—31no—
778C22×Q8—31no—
779C22×Q8—31no—
780C22×D4—31no—
781C22×D4—31no—
782C22×D4—31no—
783C22×D4—31no—
784C22×D4—31no—
785C22×D4—31no—
786C22×D4—31no—
787C22×D4—31no—
788C22×D4—31no—
789C22×D4—31no—
790C22×D4—31no—
791C22×D4—31no—
792C23×C4—31no—
793C23×C4—31no—
794C23×C4—31no—
795C23×C4—31no—
796C23×C4—31no—
797C23×C4—31no—
798C23×C4—31no—
799C23×C4—31no—
800C23×C4—31no—
801C4⋊Q8—122no—
802#126—24no—
803#126—64no—
804#126—64no—
805#126—64no—
806#125—24no—
807#124—64no—
808#124—64no—
809#124—64no—
810#123—38no—
811#123—64no—
812#123—64no—
813#123—64no—
814#123—122no—
815#123—122no—
816C22⋊Q8—64no—
817C22⋊Q8—64no—
818C22⋊Q8—122no—
819#121—64no—
820#121—64no—
821#121—64no—
822#121—64no—
823#121—64no—
824#121—122no—
825#120—64no—
826#120—64no—
827#120—122no—
828C4×Q8—64no—
829C4×D4—64no—
830C4×D4—64no—
831C4×D4—64no—
832C4×D4—64no—
833C4×D4—64no—
834#117—64no—
835#117—64no—
836C2×C4⋊C4—31no—
837C2×C4⋊C4—31no—
838C2×C4⋊C4—31no—
839C2×C4⋊C4—31no—
840C2×C4⋊C4—31no—
841C2×C4⋊C4—31no—
842C2×C4⋊C4—31no—
843C2×C4⋊C4—31no—
844C2×C4⋊C4—31no—
845C2×C4⋊C4—31no—
846C2×C4⋊C4—31no—
847C2×C4⋊C4—31no—
848C2×C4⋊C4—31no—
849C2×C4⋊C4—31no—
850C2×C4⋊C4—31no—
851C2×C4⋊C4—31no—
852C2×C4⋊C4—31no—
853C2×C4⋊C4—31no—
854C2×C4⋊C4—31no—
855C2×C4⋊C4C22×D311yescharacteristic
856C2×C4⋊C4C22×D311yescharacteristic
857C2×C4⋊C4C22×D311yescharacteristic
858C2×C4⋊C4C22×D311yescharacteristic
859C2×C4⋊C4C22×D311yescharacteristic
860C2×C4⋊C4C22×D311yescharacteristic
861C2×C4⋊C4C22×D311yescharacteristic
862C2×C4⋊C4C22×D311yescharacteristic
863C2×C4⋊C4C22×D311yescharacteristic
864C2×C4⋊C4C22×D311yescharacteristic
865C2×C4⋊C4C22×D311yescharacteristic
866C2×C4⋊C4C22×D311yescharacteristic
867C2×C4⋊C4C22×D311yescharacteristic
868C2×C22⋊C4—31no—
869C2×C22⋊C4—31no—
870C2×C22⋊C4—31no—
871C2×C22⋊C4—31no—
872C2×C22⋊C4—31no—
873C2×C22⋊C4—31no—
874C2×C22⋊C4—31no—
875C2×C22⋊C4—31no—
876C2×C22⋊C4—31no—
877C2×C22⋊C4—31no—
878C2×C22⋊C4—31no—
879C2×C22⋊C4—31no—
880C2×C22⋊C4—31no—
881C2×C22⋊C4—31no—
882C2×C22⋊C4—31no—
883C2×C22⋊C4—31no—
884C2×C22⋊C4—31no—
885C2×C22⋊C4—31no—
886C2×C22⋊C4—31no—
887C2×C22⋊C4—31no—
888C2×C22⋊C4—31no—
889C2×C22⋊C4—31no—
890C2×C22⋊C4—31no—
891C2×C22⋊C4—31no—
892C2×C22⋊C4—31no—
893C2×C22⋊C4—31no—
894C2×C22⋊C4—31no—
895C2×C22⋊C4—31no—
896C2×C22⋊C4—31no—
897C2×C22⋊C4—31no—
898C2×C22⋊C4—31no—
899C2×C22⋊C4—31no—
900C2×C22⋊C4—31no—
901C2×C22⋊C4—31no—
902C2×C22⋊C4—31no—
903C2×C22⋊C4—31no—
904C2×C22⋊C4—31no—
905C2×C22⋊C4—31no—
906C2×C22⋊C4—31no—
907C2×C22⋊C4—31no—
908C2×C22⋊C4—31no—
909C2×C22⋊C4—31no—
910C2×C22⋊C4—31no—
911C2×C22⋊C4—31no—
912C2×C22⋊C4—31no—
913C2×C22⋊C4—31no—
914C2×C22⋊C4—31no—
915C2×C22⋊C4—64no—
916C2×C22⋊C4—64no—
917C2×C22⋊C4C22×D311yescharacteristic
918C2×C22⋊C4C22×D311yescharacteristic
919C2×C22⋊C4C22×D311yescharacteristic
920C2×C22⋊C4C22×D311yescharacteristic
921C2×C22⋊C4C22×D311yescharacteristic
922C2×C22⋊C4C22×D311yescharacteristic
923C2×C22⋊C4C22×D311yescharacteristic
924C2×C42—31no—
925C2×C42—31no—
926C2×C42—31no—
927C2×C42—31no—
928C2×C42—31no—
929C2×C42—31no—
930C2×C42—31no—
931C2×C42—31no—
932C2×C42—64no—
933C2×C42C22×D311yescharacteristic
934C2×C42C22×D311yescharacteristic
935C2×C42C22×D311yescharacteristic
936C2×C42C22×D311yescharacteristic
937C2×C42C22×D311yescharacteristic
938#95—31no—
939#95—31no—
940#95—31no—
941#95—31no—
942#95—31no—
943#95—31no—
944#95—31no—
945#95—31no—
946#95—31no—
947#95—31no—
948#95—31no—
949#95—31no—
950#95—31no—
951#95—31no—
952#95—31no—
953#95—31no—
954#95—31no—
955#95—31no—
956#95—31no—
957#95—31no—
958#95—31no—
959#95—31no—
960#95C22×D311yescharacteristic
961#95C22×D311yescharacteristic
962#95C22×D311yescharacteristic
963#95C22×D311yescharacteristic
964#95C22×D311yescharacteristic
965#95C22×D311yescharacteristic
966#95C22×D311yescharacteristic
967#95C22×D311yescharacteristic
968#95C22×D311yescharacteristic
969#95C22×D311yescharacteristic
970C23×C3—21no—
971C23×C3—21no—
972C23×C3—21no—
973C23×C3—21no—
974C23×C3—21no—
975C23×C3—21no—
976C23×C3—21no—
977C23×C3C2511yescharacteristic
978C22×D3—21no—
979C22×D3—21no—
980C22×D3—21no—
981C22×D3—21no—
982C22×D3—21no—
983C22×D3—21no—
984C22×D3—21no—
985C22×D3—21no—
986C22×D3—21no—
987C22×D3—21no—
988C22×D3—21no—
989C22×D3—21no—
990C22×D3—21no—
991C22×D3—21no—
992C22×D3—21no—
993C22×D3—21no—
994C22×D3—21no—
995C22×D3—21no—
996C22×D3—21no—
997C22×D3—21no—
998C22×D3—21no—
999C22×D3—21no—
1000C22×D3—21no—
1001C22×D3—21no—
1002C22×D3—21no—
1003C22×D3—21no—
1004C22×D3—21no—
1005C22×D3—21no—
1006C22×D3—21no—
1007C22×D3—21no—
1008C22×D3—21no—
1009C22×D3—21no—
1010C22×D3—44no—
1011C22×D3—44no—
1012C22×D3—82no—
1013C22×D3—82no—
1014C22×D3—82no—
1015C22×D3—82no—
1016C22×D3—82no—
1017C22×D3C22×D412yes—
1018C22×D3C22×D412yes—
1019C22×D3C2×#4112yes—
1020C2×C3×C4—21no—
1021C2×C3×C4—21no—
1022C2×C3×C4—21no—
1023C2×C3×C4—21no—
1024C2×C3×C4—21no—
1025C2×C3×C4—21no—
1026C2×C3×C4—21no—
1027C2×C3×C4—21no—
1028C2×C3×C4—21no—
1029C2×C3×C4—21no—
1030C2×C3×C4—21no—
1031C2×C3×C4—21no—
1032C2×C3×C4—21no—
1033C2×C3×C4—21no—
1034C2×C3×C4—21no—
1035C2×C3×C4—21no—
1036C2×C3×C4—21no—
1037C2×C3×C4—21no—
1038C2×C3×C4—21no—
1039C2×C3×C4—21no—
1040C2×C3×C4—21no—
1041C2×C3×C4—21no—
1042C2×C3×C4—21no—
1043C2×C3×C4—21no—
1044C2×C3×C4—21no—
1045C2×C3×C4—21no—
1046C2×C3×C4—21no—
1047C2×C3×C4—21no—
1048C2×C3×C4—21no—
1049C2×C3×C4—21no—
1050C2×C3×C4—21no—
1051C2×C3×C4—21no—
1052C2×C3×C4—21no—
1053C2×C3×C4—21no—
1054C2×C3×C4—21no—
1055C2×C3×C4—21no—
1056C2×C3×C4—21no—
1057C2×C3×C4C22×D412yes—
1058C2×C3×C4C22×D412yes—
1059C2×C3×C4C22×D412yes—
1060C2×C3×C4C2×#4112yes—
1061C2×C3×C4H(5,𝔽2)12yes—
1062#67—82no—
1063#67—82no—
1064#67—82no—
1065C2×Dic3—21no—
1066C2×Dic3—21no—
1067C2×Dic3—21no—
1068C2×Dic3—21no—
1069C2×Dic3—21no—
1070C2×Dic3—21no—
1071C2×Dic3—21no—
1072C2×Dic3—21no—
1073C2×Dic3—21no—
1074C2×Dic3—21no—
1075C2×Dic3—21no—
1076C2×Dic3—21no—
1077C2×Dic3—21no—
1078C2×Dic3—21no—
1079C2×Dic3—21no—
1080C2×Dic3—21no—
1081C2×Dic3—21no—
1082C2×Dic3—21no—
1083C2×Dic3—21no—
1084C2×Dic3—21no—
1085C2×Dic3—21no—
1086C2×Dic3—21no—
1087C2×Dic3—21no—
1088C2×Dic3—21no—
1089C2×Dic3—21no—
1090C2×Dic3—21no—
1091C2×Dic3—21no—
1092C2×Dic3—21no—
1093C2×Dic3—21no—
1094C2×Dic3—21no—
1095C2×Dic3C22×D412yes—
1096C2×Dic3C22×D412yes—
1097C2×Dic3C2×#4112yes—
1098D12—44no—
1099D12—44no—
1100D12—44no—
1101D12—44no—
1102D12—44no—
1103D12—82no—
1104D12—82no—
1105D12—82no—
1106D12—82no—
1107C4×D3—44no—
1108C4×D3—44no—
1109C4×D3—44no—
1110C4×D3—44no—
1111C4×D3—44no—
1112C4×D3—82no—
1113C4×D3—82no—
1114C4×D3—82no—
1115C4×D3—82no—
1116Dic6—44no—
1117Dic6—82no—
1118C24—31no—
1119C24—31no—
1120C24—31no—
1121C24—31no—
1122C24—31no—
1123C24—62no—
1124C24—62no—
1125C24—121no—
1126C24—121no—
1127C24—121no—
1128C24—121no—
1129C24—121no—
1130C24C23×D311yescharacteristic
1131C2×Q8—62no—
1132C2×Q8—62no—
1133C2×Q8—62no—
1134C2×Q8—121no—
1135C2×Q8—121no—
1136C2×Q8—121no—
1137C2×D4—34no—
1138C2×D4—62no—
1139C2×D4—62no—
1140C2×D4—62no—
1141C2×D4—62no—
1142C2×D4—62no—
1143C2×D4—62no—
1144C2×D4—62no—
1145C2×D4—62no—
1146C2×D4—62no—
1147C2×D4—62no—
1148C2×D4—62no—
1149C2×D4—62no—
1150C2×D4—62no—
1151C2×D4—121no—
1152C2×D4—121no—
1153C2×D4—121no—
1154C2×D4—121no—
1155C2×D4—121no—
1156C2×D4—121no—
1157C2×D4—121no—
1158C2×D4—121no—
1159C2×D4—121no—
1160C2×D4—121no—
1161C2×D4—121no—
1162C2×D4—121no—
1163C2×D4—121no—
1164C2×D4—121no—
1165C2×D4—121no—
1166C2×D4—121no—
1167C2×D4—121no—
1168C2×D4—121no—
1169C2×D4—121no—
1170C2×D4—121no—
1171C2×D4—121no—
1172C2×D4—121no—
1173C22×C4—31no—
1174C22×C4—31no—
1175C22×C4—31no—
1176C22×C4—34no—
1177C22×C4—31no—
1178C22×C4—31no—
1179C22×C4—31no—
1180C22×C4—31no—
1181C22×C4—31no—
1182C22×C4—31no—
1183C22×C4—31no—
1184C22×C4—31no—
1185C22×C4—62no—
1186C22×C4—62no—
1187C22×C4—62no—
1188C22×C4—62no—
1189C22×C4—62no—
1190C22×C4—62no—
1191C22×C4—62no—
1192C22×C4—62no—
1193C22×C4—62no—
1194C22×C4—62no—
1195C22×C4—62no—
1196C22×C4—62no—
1197C22×C4—121no—
1198C22×C4—121no—
1199C22×C4—121no—
1200C22×C4—121no—
1201C22×C4—121no—
1202C22×C4—121no—
1203C22×C4—121no—
1204C22×C4—121no—
1205C22×C4—121no—
1206C22×C4—121no—
1207C22×C4—121no—
1208C22×C4—121no—
1209C22×C4—121no—
1210C22×C4—121no—
1211C22×C4C23×D311yescharacteristic
1212C22×C4C23×D311yescharacteristic
1213C22×C4C23×D311yescharacteristic
1214C22×C4C23×D311yescharacteristic
1215C22×C4C23×D311yescharacteristic
1216C22×C4C23×D311yescharacteristic
1217C22×C4C23×D311yescharacteristic
1218C22×C4C23×D311yescharacteristic
1219C22×C4C23×D311yescharacteristic
1220C22×C4C23×D311yescharacteristic
1221C22×C4C23×D311yescharacteristic
1222C22×C4C23×D311yescharacteristic
1223C22×C4C23×D311yescharacteristic
1224C22×C4C23×D311yescharacteristic
1225C4⋊C4—22no—
1226C4⋊C4—22no—
1227C4⋊C4—22no—
1228C4⋊C4—22no—
1229C4⋊C4—22no—
1230C4⋊C4—22no—
1231C4⋊C4—22no—
1232C4⋊C4—22no—
1233C4⋊C4—22no—
1234C4⋊C4—22no—
1235C4⋊C4—22no—
1236C4⋊C4—34no—
1237C4⋊C4—41no—
1238C4⋊C4—62no—
1239C4⋊C4—62no—
1240C4⋊C4—62no—
1241C4⋊C4—62no—
1242C4⋊C4—62no—
1243C4⋊C4—62no—
1244C4⋊C4—62no—
1245C4⋊C4—121no—
1246C4⋊C4—121no—
1247C4⋊C4—121no—
1248C4⋊C4—121no—
1249C4⋊C4—121no—
1250C4⋊C4—121no—
1251C4⋊C4—121no—
1252C4⋊C4—121no—
1253C4⋊C4—121no—
1254C4⋊C4—121no—
1255C4⋊C4—121no—
1256C4⋊C4D3×D414yes—
1257C22⋊C4—22no—
1258C22⋊C4—22no—
1259C22⋊C4—22no—
1260C22⋊C4—22no—
1261C22⋊C4—22no—
1262C22⋊C4—34no—
1263C22⋊C4—34no—
1264C22⋊C4—34no—
1265C22⋊C4—34no—
1266C22⋊C4—41no—
1267C22⋊C4—41no—
1268C22⋊C4—62no—
1269C22⋊C4—62no—
1270C22⋊C4—62no—
1271C22⋊C4—62no—
1272C22⋊C4—62no—
1273C22⋊C4—62no—
1274C22⋊C4—62no—
1275C22⋊C4—62no—
1276C22⋊C4—62no—
1277C22⋊C4—62no—
1278C22⋊C4—62no—
1279C22⋊C4—62no—
1280C22⋊C4—62no—
1281C22⋊C4—62no—
1282C22⋊C4—62no—
1283C22⋊C4—62no—
1284C22⋊C4—62no—
1285C22⋊C4—62no—
1286C22⋊C4—62no—
1287C22⋊C4—62no—
1288C22⋊C4—62no—
1289C22⋊C4—62no—
1290C22⋊C4—121no—
1291C22⋊C4—121no—
1292C22⋊C4—121no—
1293C22⋊C4—121no—
1294C22⋊C4—121no—
1295C22⋊C4—121no—
1296C22⋊C4—121no—
1297C22⋊C4—121no—
1298C22⋊C4—121no—
1299C22⋊C4—121no—
1300C22⋊C4—121no—
1301C22⋊C4—121no—
1302C22⋊C4—121no—
1303C22⋊C4—121no—
1304C22⋊C4—121no—
1305C22⋊C4—121no—
1306C22⋊C4—121no—
1307C22⋊C4—121no—
1308C22⋊C4—121no—
1309C22⋊C4—121no—
1310C22⋊C4—121no—
1311C42—22no—
1312C42—22no—
1313C42—41no—
1314C42—41no—
1315C42—41no—
1316C42—62no—
1317C42—62no—
1318C42—62no—
1319C42—62no—
1320C42—62no—
1321C42—62no—
1322C42—121no—
1323C42—121no—
1324C22×C3—41no—
1325C22×C3—41no—
1326C22×C3—41no—
1327C22×C3—41no—
1328C22×C3—41no—
1329C22×C3—41no—
1330C22×C3—41no—
1331C22×C3C23×D411yescharacteristic
1332C22×C3C22×#4111yescharacteristic
1333C22×C3C2×H(5,𝔽2)11yescharacteristic
1334C22×C3#58511yescharacteristic
1335C22×C3#58511yescharacteristic
1336C22×C3#58511yescharacteristic
1337C22×C3#58511yescharacteristic
1338C2×D3—22no—
1339C2×D3—22no—
1340C2×D3—22no—
1341C2×D3—22no—
1342C2×D3—22no—
1343C2×D3—22no—
1344C2×D3—22no—
1345C2×D3—22no—
1346C2×D3—22no—
1347C2×D3—41no—
1348C2×D3—41no—
1349C2×D3—41no—
1350C2×D3—41no—
1351C2×D3—41no—
1352C2×D3—41no—
1353C2×D3—41no—
1354C2×D3—41no—
1355C2×D3—41no—
1356C2×D3—41no—
1357C2×D3—41no—
1358C2×D3—41no—
1359C2×D3—41no—
1360C2×D3—41no—
1361C2×D3—41no—
1362C2×D3—41no—
1363C2×D3—41no—
1364C2×D3—41no—
1365C2×D3—41no—
1366C2×D3—41no—
1367C2×D3—41no—
1368C2×D3—41no—
1369C2×D3—41no—
1370C2×D3—41no—
1371C2×D3—41no—
1372C2×D3—41no—
1373C2×D3—88no—
1374C3×C4—22no—
1375C3×C4—22no—
1376C3×C4—22no—
1377C3×C4—22no—
1378C3×C4—22no—
1379C3×C4—41no—
1380C3×C4—41no—
1381C3×C4—41no—
1382C3×C4—41no—
1383C3×C4—41no—
1384C3×C4—41no—
1385C3×C4—41no—
1386C3×C4—41no—
1387C3×C4—41no—
1388Dic3—22no—
1389Dic3—22no—
1390Dic3—22no—
1391Dic3—41no—
1392Dic3—41no—
1393Dic3—41no—
1394Dic3—41no—
1395Dic3—41no—
1396Dic3—41no—
1397Dic3—41no—
1398Dic3—41no—
1399C23—21no—
1400C23—21no—
1401C23—21no—
1402C23—21no—
1403C23—21no—
1404C23—21no—
1405C23—21no—
1406C23—32no—
1407C23—32no—
1408C23—32no—
1409C23—61no—
1410C23—61no—
1411C23—61no—
1412C23—61no—
1413C23—61no—
1414C23—61no—
1415C23—61no—
1416C23—61no—
1417C23—61no—
1418C23—61no—
1419C23—61no—
1420C23—61no—
1421C23—61no—
1422C23—61no—
1423C23—61no—
1424C23—61no—
1425C23—61no—
1426C23—61no—
1427C23—61no—
1428C23—61no—
1429C23—61no—
1430C23—61no—
1431C23—61no—
1432C23—61no—
1433C23—61no—
1434C23—61no—
1435C23—61no—
1436C23—61no—
1437C23—61no—
1438C23—61no—
1439C23—61no—
1440C23—61no—
1441C23—124no—
1442C23—124no—
1443C23—242no—
1444C23—242no—
1445C23—242no—
1446C23—242no—
1447C23—242no—
1448C23C24×D311yescharacteristic
1449Q8—124no—
1450Q8—242no—
1451D4—124no—
1452D4—124no—
1453D4—124no—
1454D4—124no—
1455D4—124no—
1456D4—242no—
1457D4—242no—
1458D4—242no—
1459D4—242no—
1460D4—242no—
1461D4—242no—
1462D4—242no—
1463C2×C4—21no—
1464C2×C4—21no—
1465C2×C4—21no—
1466C2×C4—21no—
1467C2×C4—21no—
1468C2×C4—21no—
1469C2×C4—21no—
1470C2×C4—21no—
1471C2×C4—21no—
1472C2×C4—21no—
1473C2×C4—21no—
1474C2×C4—21no—
1475C2×C4—21no—
1476C2×C4—21no—
1477C2×C4—21no—
1478C2×C4—21no—
1479C2×C4—21no—
1480C2×C4—21no—
1481C2×C4—21no—
1482C2×C4—21no—
1483C2×C4—21no—
1484C2×C4—21no—
1485C2×C4—21no—
1486C2×C4—21no—
1487C2×C4—21no—
1488C2×C4—21no—
1489C2×C4—21no—
1490C2×C4—21no—
1491C2×C4—21no—
1492C2×C4—21no—
1493C2×C4—21no—
1494C2×C4—21no—
1495C2×C4—21no—
1496C2×C4—21no—
1497C2×C4—21no—
1498C2×C4—21no—
1499C2×C4—21no—
1500C2×C4—32no—
1501C2×C4—32no—
1502C2×C4—32no—
1503C2×C4—61no—
1504C2×C4—61no—
1505C2×C4—61no—
1506C2×C4—61no—
1507C2×C4—61no—
1508C2×C4—61no—
1509C2×C4—61no—
1510C2×C4—61no—
1511C2×C4—61no—
1512C2×C4—61no—
1513C2×C4—61no—
1514C2×C4—61no—
1515C2×C4—61no—
1516C2×C4—61no—
1517C2×C4—61no—
1518C2×C4—61no—
1519C2×C4—61no—
1520C2×C4—61no—
1521C2×C4—61no—
1522C2×C4—61no—
1523C2×C4—61no—
1524C2×C4—61no—
1525C2×C4—61no—
1526C2×C4—61no—
1527C2×C4—61no—
1528C2×C4—61no—
1529C2×C4—61no—
1530C2×C4—61no—
1531C2×C4—61no—
1532C2×C4—61no—
1533C2×C4—124no—
1534C2×C4—124no—
1535C2×C4—124no—
1536C2×C4—124no—
1537C2×C4—124no—
1538C2×C4—242no—
1539C2×C4—242no—
1540C2×C4—242no—
1541C2×C4—242no—
1542C2×C4C2×D3×D412yes—
1543C2×C4C2×D3×D412yes—
1544C2×C4C2×D3×D412yes—
1545C2×C4D3×#4112yes—
1546C2×C4#100912yes—
1547C2×C3—81no—
1548C2×C3#345511yescharacteristic
1549C2×C3D4×#4111yescharacteristic
1550C2×C3#348511yescharacteristic
1551C2×C3#348811yescharacteristic
1552C2×C3#351411yescharacteristic
1553C2×C3#355111yescharacteristic
1554C2×C3#356611yescharacteristic
1555D3—42no—
1556D3—42no—
1557D3—42no—
1558D3—81no—
1559D3—81no—
1560C22—41no—
1561C22—41no—
1562C22—41no—
1563C22—41no—
1564C22—41no—
1565C22—41no—
1566C22—41no—
1567C22—62no—
1568C22—62no—
1569C22—62no—
1570C22—62no—
1571C22—62no—
1572C22—62no—
1573C22—62no—
1574C22—62no—
1575C22—62no—
1576C22—121no—
1577C22—121no—
1578C22—121no—
1579C22—121no—
1580C22—121no—
1581C22—121no—
1582C22—121no—
1583C22—121no—
1584C22—121no—
1585C22—121no—
1586C22—121no—
1587C22—121no—
1588C22—121no—
1589C22—121no—
1590C22—121no—
1591C22—121no—
1592C22—121no—
1593C22—121no—
1594C22—121no—
1595C22—121no—
1596C22—121no—
1597C22—121no—
1598C22—121no—
1599C22—121no—
1600C22—121no—
1601C22—121no—
1602C22—248no—
1603C22C22×D3×D411yescharacteristic
1604C22C2×D3×#4111yescharacteristic
1605C22C2×#100911yescharacteristic
1606C22#596411yescharacteristic
1607C22#596411yescharacteristic
1608C22#596811yescharacteristic
1609C22#596811yescharacteristic
1610C4—22no—
1611C4—22no—
1612C4—22no—
1613C4—22no—
1614C4—22no—
1615C4—41no—
1616C4—41no—
1617C4—41no—
1618C4—41no—
1619C4—41no—
1620C4—41no—
1621C4—41no—
1622C4—41no—
1623C4—41no—
1624C4—62no—
1625C4—62no—
1626C4—62no—
1627C4—121no—
1628C4—121no—
1629C4—121no—
1630C4—121no—
1631C4—121no—
1632C4—121no—
1633C4—121no—
1634C4—121no—
1635C3#3773311yescharacteristic, complemented, Sylow
1636C2—81no—
1637C2—122no—
1638C2—122no—
1639C2—122no—
1640C2—241no—
1641C2—241no—
1642C2#8616211yescharacteristic
1643C2#8623811yescharacteristic
1644C2#8649511yescharacteristic
1645C2#8670011yescharacteristic
1646C2#8671311yescharacteristic
1647C2#8684811yescharacteristic
1648C2#8687111yescharacteristic
subgroupG/H
center, FrattiniC23C24×D3
commutator, socle, cosocleC23×C3C25
FittingC3×#2519C2
hypercenter#2519D3
hypocenterC3#37733
LCSG ▷ C23×C3 ▷ C3
UCSC1 ◁ C23 ◁ #2519

Complements

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

NH ≅ G/Ntype
1. C2×#5704C2semidirect
2. C2×#5691C2semidirect
3. C3×#2519C2semidirect
4. #83080C2semidirect
5. #83059C2semidirect
6. #78101C2semidirect
7. #78065C2semidirect
8. #77967C2semidirect
9. #77865C2semidirect
10. #77753C2semidirect
11. #77744C2semidirect
12. #77427C2semidirect
13. #77416C2semidirect
14. #76259C2semidirect
15. #76019C2semidirect
16. #75960C2semidirect
17. #75919C2semidirect
18. #75916C2semidirect
19. #75910C2semidirect
20. #75854C2semidirect
21. #75833C2semidirect
22. #75526C2semidirect
23. #75508C2semidirect
24. #75377C2semidirect
25. #75010C2semidirect
26. #74231C2semidirect
27. #74200C2semidirect
28. #73788C2semidirect
29. #73765C2semidirect
30. C4×#894C2semidirect
31. #73649C2semidirect
34. C2×C3×#125C22semidirect
39. C2×#898C22semidirect
40. C2×#897C22semidirect
50. C2×#894C22semidirect
51. C2×#894C22semidirect
55. C2×#893C22semidirect
57. C2×#892C22semidirect
58. C2×#888C22semidirect
59. C2×#887C22semidirect
72. C2×C42×D3C22semidirect
74. C3×#398C22semidirect
75. C3×#398C22semidirect
77. C3×#389C22semidirect
82. C3×#387C22semidirect
83. C3×#382C22semidirect
84. C3×C4×C4⋊C4C22semidirect
85. C3×C4×C4⋊C4C22semidirect
87. #4994C22semidirect
88. #4994C22semidirect
89. #4993C22semidirect
96. #4990C22semidirect
97. #4990C22semidirect
101. #4989C22semidirect
102. #4989C22semidirect
103. #4989C22semidirect
104. #4988C22semidirect
106. #4987C22semidirect
107. #4984C22semidirect
108. #4981C22semidirect
109. #4980C22semidirect
110. #4980C22semidirect
111. #4978C22semidirect
112. #4978C22semidirect
113. #4976C22semidirect
114. #4972C22semidirect
135. #4940C22semidirect
136. #4940C22semidirect
137. #4940C22semidirect
141. #4939C22semidirect
145. C4×(C2×D3)⋊C4C22semidirect
146. C4×(C2×D3)⋊C4C22semidirect
147. C4×(C2×D3)⋊C4C22semidirect
148. #4933C22semidirect
149. C4×Dic3⋊C4C22semidirect
152. #4675C22semidirect
153. #4675C22semidirect
155. #4673C22semidirect
156. #4673C22semidirect
161. #4672C22semidirect
162. #4672C22semidirect
164. #4671C22semidirect
166. #4670C22semidirect
169. #4669C22semidirect
172. #4667C22semidirect
179. #4665C22semidirect
180. #4665C22semidirect
182. #4664C22semidirect
183. #4657C22semidirect
184. #4657C22semidirect
185. #4656C22semidirect
186. #4655C22semidirect
187. #4647C22semidirect
188. #4647C22semidirect
189. #4646C22semidirect
203. #2519D3semidirect
360. #894D4semidirect
421. C2×#125C2×D3semidirect
460. #398C2×D3semidirect
461. #398C2×D3semidirect
508. #389C2×D3semidirect
535. #387C2×D3semidirect
552. #382C2×D3semidirect
562. C4×C4⋊C4C2×D3semidirect
563. C4×C4⋊C4C2×D3semidirect
1635. C3#37733semidirect

Maximal subgroups

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

subgroupindex
C2×#57042
C2×#56912
C3×#25192
#830802
#830592
#781012
#780652
#779672
#778652
#777532
#777442
#774272
#774162
#762592
#760192
#759602
#759192
#759162
#759102
#758542
#758332
#755262
#755082
#753772
#750102
#742312
#742002
#737882
#737652
C4×#8942
#736492
#377333