Finite Group Databasebeta

← #11028401

Subgroups — #11028401

Order 768.

2314 conjugacy classes of subgroups.

The subgroup lattice has 1652 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#5704C211yesmaximal, characteristic, complemented
2C2×#5649C211yesmaximal, characteristic, complemented
3C3×#2695C211yesmaximal, characteristic, complemented
4#83079C211yesmaximal, characteristic, complemented
5#82907C211yesmaximal, characteristic, complemented
6#78179C211yesmaximal, characteristic, complemented
7#78134C211yesmaximal, characteristic, complemented
8#77946C211yesmaximal, characteristic, complemented
9#77839C211yesmaximal, characteristic, complemented
10#77822C211yesmaximal, characteristic, complemented
11#77760C211yesmaximal, characteristic, complemented
12#77673C211yesmaximal, characteristic, complemented
13#77480C211yesmaximal, characteristic, complemented
14#77372C211yesmaximal, characteristic, complemented
15#77292C211yesmaximal, characteristic, complemented
16#77127C211yesmaximal, characteristic, complemented
17#76908C211yesmaximal, characteristic, complemented
18#76020C211yesmaximal, characteristic, complemented
19#76007C211yesmaximal, characteristic, complemented
20#75708C211yesmaximal, characteristic, complemented
21#75477C211yesmaximal, characteristic, complemented
22#74922C211yesmaximal, characteristic, complemented
23#74879C211yesmaximal, characteristic, complemented
24#74627C211yesmaximal, characteristic, complemented
25#74602C211yesmaximal, characteristic, complemented
26#74587C211yesmaximal, characteristic, complemented
27#74391C211yesmaximal, characteristic, complemented
28#74021C211yesmaximal, characteristic, complemented
29#73969C211yesmaximal, characteristic, complemented
30#73939C211yesmaximal, characteristic, complemented
31#73865C211yesmaximal, characteristic, complemented
32#37828—31nomaximal, Sylow
33C2×C3×#126C2211yescharacteristic
34C2×C3×#123C2211yescharacteristic
35C2×#939C2211yescharacteristic
36C2×#937C2211yescharacteristic
37C2×D4×Dic3C2211yescharacteristic
38C2×#930C2211yescharacteristic
39C2×#929C2211yescharacteristic, complemented
40C22×(C2×D3)⋊C4C2211yescharacteristic
41C22×C4×Dic3C2211yescharacteristic, complemented
42#5704—28no—
43#5649—28no—
44C2×#898C2211yescharacteristic
45C2×#898C2211yescharacteristic, complemented
46C2×#896C2211yescharacteristic
47C2×#895C2211yescharacteristic
48C2×#895C2211yescharacteristic
49C2×#894C2211yescharacteristic
50C2×#894C2211yescharacteristic
51C2×#893C2211yescharacteristic
52C2×#892C2211yescharacteristic, complemented
53C2×D3×C4⋊C4C2211yescharacteristic, complemented
54C2×#889C2211yescharacteristic, complemented
55C2×#887C2211yescharacteristic, complemented
56C2×#886C2211yescharacteristic
57C2×#885C2211yescharacteristic
58C2×#884C2211yescharacteristic
59C2×#884C2211yescharacteristic
60C2×#883C2211yescharacteristic
61C2×#882C2211yescharacteristic
62C2×#882C2211yescharacteristic
63C2×#67⋊C4C2211yescharacteristic
64C2×#67⋊C4C2211yescharacteristic
65C2×#67⋊C4C2211yescharacteristic, complemented
66C2×#67⋊C4C2211yescharacteristic, complemented
67C2×D3×C22⋊C4C2211yescharacteristic
68C2×#879C2211yescharacteristic
69C2×#878C2211yescharacteristic, complemented
70C2×#877C2211yescharacteristic
71C2×#875C2211yescharacteristic
72C2×C4×D12C2211yescharacteristic
73C3×#400C2211yescharacteristic, complemented
74C3×#398C2211yescharacteristic, complemented
75C3×#398C2211yescharacteristic, complemented
76C3×#397C2211yescharacteristic
77C3×#396C2211yescharacteristic, complemented
78C3×#394C2211yescharacteristic
79C3×#389C2211yescharacteristic, complemented
80C3×#388C2211yescharacteristic, complemented
81C3×#386C2211yescharacteristic
82C3×#385C2211yescharacteristic
83C3×#385C2211yescharacteristic, complemented
84C3×#380C2211yescharacteristic
85C3×#380C2211yescharacteristic, complemented
86#5223C2211yescharacteristic
87#5213C2211yescharacteristic
88#5213C2211yescharacteristic
89#5213C2211yescharacteristic
90C4×#217C2211yescharacteristic
91#4994C2211yescharacteristic
92#4994C2211yescharacteristic
93#4994C2211yescharacteristic
94#4994C2211yescharacteristic
95#4993C2211yescharacteristic
96#4993C2211yescharacteristic
97#4993C2211yescharacteristic, complemented
98#4993C2211yescharacteristic, complemented
99#4992C2211yescharacteristic
100#4991C2211yescharacteristic
101#4991C2211yescharacteristic
102#4991C2211yescharacteristic
103#4990C2211yescharacteristic
104#4990C2211yescharacteristic, complemented
105#4990C2211yescharacteristic, complemented
106#4990C2211yescharacteristic, complemented
107#4989C2211yescharacteristic
108#4989C2211yescharacteristic, complemented
109#4988C2211yescharacteristic
110#4988C2211yescharacteristic
111#4988C2211yescharacteristic
112#4984C2211yescharacteristic, complemented
113#4983C2211yescharacteristic, complemented
114#4982C2211yescharacteristic, complemented
115#4982C2211yescharacteristic, complemented
116#4980C2211yescharacteristic, complemented
117#4978C2211yescharacteristic, complemented
118#4978C2211yescharacteristic, complemented
119#4976C2211yescharacteristic, complemented
120Dic3×C4⋊C4C2211yescharacteristic, complemented
121#4973C2211yescharacteristic, complemented
122#4972C2211yescharacteristic, complemented
123#4960C2211yescharacteristic
124#4960C2211yescharacteristic
125#4960C2211yescharacteristic, complemented
126#4959C2211yescharacteristic
127#4959C2211yescharacteristic, complemented
128#4958C2211yescharacteristic
129#4958C2211yescharacteristic
130#4958C2211yescharacteristic
131#4958C2211yescharacteristic, complemented
132#4957C2211yescharacteristic
133#4957C2211yescharacteristic
134#4956C2211yescharacteristic
135#4956C2211yescharacteristic
136#4956C2211yescharacteristic, complemented
137#4955C2211yescharacteristic
138#4955C2211yescharacteristic
139#4952C2211yescharacteristic
140#4952C2211yescharacteristic
141#4951C2211yescharacteristic
142#4950C2211yescharacteristic, complemented
143#4949C2211yescharacteristic, complemented
144#4946C2211yescharacteristic
145#4946C2211yescharacteristic
146#4946C2211yescharacteristic, complemented
147#4944C2211yescharacteristic
148#4933C2211yescharacteristic, complemented
149C4×Dic3⋊C4C2211yescharacteristic, complemented
150#4675C2211yescharacteristic
151#4675C2211yescharacteristic
152#4675C2211yescharacteristic
153#4675C2211yescharacteristic, complemented
154#4672C2211yescharacteristic
155#4672C2211yescharacteristic
156#4672C2211yescharacteristic
157#4672C2211yescharacteristic, complemented
158#4670C2211yescharacteristic
159#4670C2211yescharacteristic
160#4670C2211yescharacteristic
161#4670C2211yescharacteristic, complemented
162#4669C2211yescharacteristic
163#4669C2211yescharacteristic
164#4669C2211yescharacteristic
165#4669C2211yescharacteristic
166#4669C2211yescharacteristic, complemented
167#4668C2211yescharacteristic
168#4668C2211yescharacteristic
169#4668C2211yescharacteristic, complemented
170#4668C2211yescharacteristic, complemented
171#4668C2211yescharacteristic, complemented
172#4667C2211yescharacteristic
173#4666C2211yescharacteristic
174#4666C2211yescharacteristic
175#4666C2211yescharacteristic, complemented
176#4666C2211yescharacteristic, complemented
177#4665C2211yescharacteristic
178#4665C2211yescharacteristic
179#4665C2211yescharacteristic, complemented
180#4665C2211yescharacteristic, complemented
181#4664C2211yescharacteristic, complemented
182#4658C2211yescharacteristic, complemented
183#4657C2211yescharacteristic, complemented
184#4654C2211yescharacteristic, complemented
185#4651C2211yescharacteristic, complemented
186#4650C2211yescharacteristic, complemented
187#4647C2211yescharacteristic, complemented
188#4647C2211yescharacteristic, complemented
189#4646C2211yescharacteristic, complemented
190C2×#538—31no—
191C2×#529—31no—
192#2852—31no—
193#2732—31no—
194#2730—31no—
195#2706—31no—
196#2695D311yescharacteristic, complemented
197#2688—31no—
198#2678—31no—
199#2671—31no—
200#2668—31no—
201#2664—31no—
202#2633—31no—
203#2559—31no—
204#2553—31no—
205#2480—31no—
206#2478—31no—
207#2476—31no—
208#2466—31no—
209#2456—31no—
210#2455—31no—
211#2448—31no—
212#2443—31no—
213#2421—31no—
214#2418—31no—
215#2413—31no—
216#2411—31no—
217#2361—31no—
218#2358—31no—
219#2337—31no—
220C4×#121—31no—
221C24×D3C2311yescharacteristic
222C22×C3×D4C2311yescharacteristic
223C23×C3×C4C2311yescharacteristic
224C23×C3×C4C2311yescharacteristic
225C22×#67C2311yescharacteristic
226C22×#67C2311yescharacteristic
227C22×#67C2311yescharacteristic
228C22×#67C2311yescharacteristic
229C22×#67C2311yescharacteristic
230C22×#67C2311yescharacteristic
231C23×Dic3C2311yescharacteristic
232C23×Dic3C2311yescharacteristic
233C23×Dic3C2311yescharacteristic
234C22×D12C2311yescharacteristic
235C22×D12C2311yescharacteristic
236C22×D12C2311yescharacteristic
237C22×D12C2311yescharacteristic
238C22×D12C2311yescharacteristic
239C22×C4×D3C2311yescharacteristic
240C22×C4×D3C2311yescharacteristic
241C22×C4×D3C2311yescharacteristic
242C22×C4×D3C2311yescharacteristic
243C22×C4×D3C2311yescharacteristic
244C22×C4×D3C2311yescharacteristic
245C22×Dic6C2311yescharacteristic
246C3×#126—24no—
247C3×#123—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×C4⋊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×#217C2311yescharacteristic
271C2×#217C2311yescharacteristic
272C2×#217C2311yescharacteristic
273C2×#217C2311yescharacteristic
274C2×#217C2311yescharacteristic
275C2×#217C2311yescharacteristic
276#939—24no—
277#937—24no—
278D4×Dic3—24no—
279#930—24no—
280#929—24no—
281C2×(C2×D3)⋊C4—42no—
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×C4⋊Dic3C2311yescharacteristic
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×C4×Dic3—24no—
341C2×C4×Dic3C2311yescharacteristic
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
351#898—24no—
352#898—24no—
353#896—24no—
354#895—24no—
355#895—24no—
356#894—24no—
357#894—42no—
358#893—24no—
359#892—24no—
360D3×C4⋊C4—42no—
361#889—24no—
362#887—24no—
363#886—42no—
364#885D418yescomplemented
365#884—24no—
366#884—24no—
367#883—24no—
368#882—24no—
369#882—24no—
370#67⋊C4—24no—
371#67⋊C4—24no—
372#67⋊C4—42no—
373#67⋊C4—42no—
374D3×C22⋊C4—24no—
375#879—24no—
376#878—24no—
377#877—24no—
378#875—24no—
379C4×D12—24no—
380C3×#95C2311yescharacteristic
381C3×#95C2311yescharacteristic
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—
415#529—68no—
416C2×#126—31no—
417C2×#126—31no—
418C2×#126—31no—
419C2×#126C2×D311yescharacteristic
420C2×#125—31no—
421C2×#124—31no—
422C2×#124—31no—
423C2×#123—31no—
424C2×#123—31no—
425C2×#123—31no—
426C2×#123—31no—
427C2×#123—31no—
428C2×#123C2×D311yescharacteristic
429C2×C22⋊Q8—31no—
430C2×C22⋊Q8—31no—
431C2×#121—31no—
432C2×#121—31no—
433C2×#121—31no—
434C2×#121—31no—
435C2×#121—31no—
436C2×#121—31no—
437C2×#120—31no—
438C2×#120—31no—
439C2×#120—31no—
440C2×C4×Q8—31no—
441C2×C4×D4—31no—
442C2×C4×D4—31no—
443C2×C4×D4—31no—
444C2×C4×D4—31no—
445C2×C4×D4—31no—
446C2×C4×D4—31no—
447C2×C4×D4—31no—
448C2×#117—31no—
449C2×#117—31no—
450C22×C4⋊C4—31no—
451C22×C22⋊C4—31no—
452C22×C22⋊C4—31no—
453C22×C42—31no—
454#400—31no—
455#400C2×D311yescharacteristic, complemented
456#399—31no—
457#399—31no—
458#399—31no—
459#399—31no—
460#399—31no—
461#398—31no—
462#398—31no—
463#398—31no—
464#398—31no—
465#398C2×D311yescharacteristic, complemented
466#398C2×D311yescharacteristic, complemented
467#397—31no—
468#397—31no—
469#397—31no—
470#397—31no—
471#397—31no—
472#397—31no—
473#397—31no—
474#397C2×D311yescharacteristic
475#396—31no—
476#396—31no—
477#396—31no—
478#396—31no—
479#396C2×D311yescharacteristic, complemented
480#394—31no—
481#394—31no—
482#394—31no—
483#394—31no—
484#394—31no—
485#394—31no—
486#394—31no—
487#394—31no—
488#394—31no—
489#394C2×D311yescharacteristic
490#392—31no—
491#392—31no—
492#392—31no—
493#392—31no—
494#391—31no—
495#391—31no—
496#390—31no—
497#390—31no—
498#390—31no—
499#390—31no—
500#390—31no—
501#389—31no—
502#389—31no—
503#389—31no—
504#389—31no—
505#389—31no—
506#389C2×D311yescharacteristic, complemented
507#388—31no—
508#388—31no—
509#388—31no—
510#388—31no—
511#388—31no—
512#388—31no—
513#388—31no—
514#388—31no—
515#388—31no—
516#388—31no—
517#388—31no—
518#388—31no—
519#388—31no—
520#388—31no—
521#388—31no—
522#388C2×D311yescharacteristic, complemented
523#387—31no—
524#387—31no—
525#387—31no—
526#387—31no—
527#387—31no—
528#386—31no—
529#386—31no—
530#386—31no—
531#386—31no—
532#386—31no—
533#386—31no—
534#386—31no—
535#386—31no—
536#386—31no—
537#386—31no—
538#386—31no—
539#386—31no—
540#386—31no—
541#386—31no—
542#386C2×D311yescharacteristic
543#385—31no—
544#385—31no—
545#385—31no—
546#385—31no—
547#385—31no—
548#385—31no—
549#385—31no—
550#385—31no—
551#385—31no—
552#385—31no—
553#385—31no—
554#385C2×D311yescharacteristic
555#385C2×D311yescharacteristic, complemented
556#383—31no—
557#382—31no—
558#381—31no—
559#380—31no—
560#380C2×D311yescharacteristic
561#380C2×D311yescharacteristic, complemented
562#379—31no—
563#379—31no—
564C4×C4⋊C4—31no—
565C4×C4⋊C4—31no—
566C4×C22⋊C4—31no—
567C4×C22⋊C4—31no—
568C4×C22⋊C4—31no—
569C4×C22⋊C4—31no—
570C4×C22⋊C4—31no—
571C24×C3C2411yescharacteristic
572C24×C3C2411yescharacteristic
573C23×D3—22no—
574C23×D3—22no—
575C23×D3—41no—
576C23×D3—41no—
577C23×D3—41no—
578C23×D3—41no—
579C23×D3—41no—
580C23×D3C2411yescharacteristic
581C23×D3C2411yescharacteristic
582C23×D3C2411yescharacteristic
583C23×D3C2411yescharacteristic
584C2×C3×D4—22no—
585C2×C3×D4—22no—
586C2×C3×D4—41no—
587C22×C3×C4—22no—
588C22×C3×C4—22no—
589C22×C3×C4—41no—
590C22×C3×C4—41no—
591C22×C3×C4—41no—
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—41no—
612C2×#67—41no—
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×#67C2×D414yes—
623C2×#67#4114yes—
624C22×Dic3—22no—
625C22×Dic3—22no—
626C22×Dic3—22no—
627C22×Dic3—22no—
628C22×Dic3—22no—
629C22×Dic3—41no—
630C22×Dic3—41no—
631C22×Dic3—41no—
632C22×Dic3—41no—
633C22×Dic3C2411yescharacteristic
634C22×Dic3C2411yescharacteristic
635C22×Dic3C2411yescharacteristic
636C22×Dic3C2411yescharacteristic
637C22×Dic3C2411yescharacteristic
638C22×Dic3C2411yescharacteristic
639C22×Dic3C2411yescharacteristic
640C22×Dic3C2411yescharacteristic
641C22×Dic3C2411yescharacteristic
642C22×Dic3C2411yescharacteristic
643C22×Dic3C2411yescharacteristic
644C22×Dic3C2411yescharacteristic
645C2×D12—22no—
646C2×D12—22no—
647C2×D12—22no—
648C2×D12—22no—
649C2×D12—22no—
650C2×D12—22no—
651C2×D12—22no—
652C2×D12—41no—
653C2×D12—41no—
654C2×D12—41no—
655C2×D12—41no—
656C2×D12—41no—
657C2×D12—41no—
658C2×D12—41no—
659C2×D12—41no—
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—41no—
668C2×C4×D3—41no—
669C2×C4×D3—41no—
670C2×C4×D3—41no—
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×Dic6—41no—
679C2×Dic6—41no—
680C2×Dic6C2×D414yes—
681C3×C4⋊C4—22no—
682C3×C4⋊C4—22no—
683C3×C4⋊C4—22no—
684C3×C4⋊C4—22no—
685C3×C4⋊C4—22no—
686C3×C4⋊C4—41no—
687C3×C4⋊C4—41no—
688C3×C4⋊C4—41no—
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—41no—
698C3×C22⋊C4—41no—
699C3×C22⋊C4—41no—
700C3×C22⋊C4—41no—
701C3×C22⋊C4C2×D414yes—
702C3×C42—22no—
703#217—22no—
704#217—22no—
705#217—22no—
706#217—41no—
707#217—41no—
708#217C2×D414yes—
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)⋊C4C2×D414yes—
744(C2×D3)⋊C4C2×D414yes—
745C4⋊Dic3—22no—
746C4⋊Dic3—22no—
747C4⋊Dic3—22no—
748C4⋊Dic3—22no—
749C4⋊Dic3—22no—
750C4⋊Dic3—41no—
751Dic3⋊C4—22no—
752Dic3⋊C4—22no—
753Dic3⋊C4—22no—
754Dic3⋊C4—22no—
755Dic3⋊C4—22no—
756Dic3⋊C4—22no—
757Dic3⋊C4—22no—
758Dic3⋊C4—22no—
759Dic3⋊C4—22no—
760Dic3⋊C4—22no—
761Dic3⋊C4—22no—
762Dic3⋊C4—41no—
763Dic3⋊C4—41no—
764Dic3⋊C4—41no—
765Dic3⋊C4—41no—
766Dic3⋊C4—41no—
767C4×Dic3—22no—
768C4×Dic3—22no—
769C4×Dic3—22no—
770C4×Dic3—22no—
771C4×Dic3—22no—
772C4×Dic3—41no—
773C4×Dic3—41no—
774C4×Dic3—41no—
775C4×Dic3—41no—
776C4×Dic3C2×D414yes—
777C25—31no—
778C22×Q8—31no—
779C22×D4—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×D4C22×D311yescharacteristic
791C23×C4—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×C4C22×D311yescharacteristic
801C23×C4C22×D311yescharacteristic
802#126—24no—
803#126—64no—
804#126—64no—
805#126—64no—
806#125—64no—
807#124—38no—
808#124—64no—
809#123—24no—
810#123—64no—
811#123—64no—
812#123—64no—
813#123—122no—
814#123—122no—
815C22⋊Q8—64no—
816C22⋊Q8—64no—
817#121—64no—
818#121—64no—
819#121—64no—
820#121—64no—
821#121—64no—
822#121—64no—
823#120—64no—
824#120—64no—
825#120—64no—
826C4×Q8—64no—
827C4×D4—64no—
828C4×D4—64no—
829C4×D4—64no—
830C4×D4—64no—
831C4×D4—64no—
832C4×D4—122no—
833C4×D4—122no—
834#117—64no—
835#117—64no—
836C2×C4⋊C4—31no—
837C2×C4⋊C4—31no—
838C2×C4⋊C4—31no—
839C2×C4⋊C4—31no—
840C2×C4⋊C4—31no—
841C2×C4⋊C4—31no—
842C2×C4⋊C4—31no—
843C2×C4⋊C4—31no—
844C2×C4⋊C4—31no—
845C2×C4⋊C4—31no—
846C2×C4⋊C4—31no—
847C2×C4⋊C4—31no—
848C2×C4⋊C4—31no—
849C2×C4⋊C4—31no—
850C2×C4⋊C4—31no—
851C2×C4⋊C4—31no—
852C2×C4⋊C4—31no—
853C2×C4⋊C4—31no—
854C2×C4⋊C4—31no—
855C2×C4⋊C4—31no—
856C2×C4⋊C4—31no—
857C2×C4⋊C4—31no—
858C2×C4⋊C4—122no—
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×C4⋊C4C22×D311yescharacteristic
869C2×C4⋊C4C22×D311yescharacteristic
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—64no—
913C2×C22⋊C4—122no—
914C2×C22⋊C4C22×D311yescharacteristic
915C2×C22⋊C4C22×D311yescharacteristic
916C2×C22⋊C4C22×D311yescharacteristic
917C2×C22⋊C4C22×D311yescharacteristic
918C2×C22⋊C4C22×D311yescharacteristic
919C2×C22⋊C4C22×D311yescharacteristic
920C2×C22⋊C4C22×D311yescharacteristic
921C2×C22⋊C4C22×D311yescharacteristic
922C2×C22⋊C4C22×D311yescharacteristic
923C2×C22⋊C4C22×D311yescharacteristic
924C2×C42—31no—
925C2×C42—31no—
926C2×C42—31no—
927C2×C42—31no—
928C2×C42—31no—
929C2×C42—31no—
930C2×C42—31no—
931C2×C42—31no—
932C2×C42—31no—
933C2×C42—31no—
934C2×C42—64no—
935C2×C42C22×D311yescharacteristic
936#95—31no—
937#95—31no—
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×C3—21no—
978C23×C3—21no—
979C23×C3—21no—
980C23×C3—21no—
981C23×C3—21no—
982C23×C3C22×D412yes—
983C23×C3C2×#4112yes—
984C23×C3C2511yescharacteristic
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—21no—
1011C22×D3—44no—
1012C22×D3—44no—
1013C22×D3—82no—
1014C22×D3—82no—
1015C22×D3—82no—
1016C22×D3—82no—
1017C22×D3—82no—
1018C22×D3C22×D412yes—
1019C22×D3C2×#4112yes—
1020C3×D4—44no—
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×C4—21no—
1058C2×C3×C4—44no—
1059C2×C3×C4—82no—
1060C2×C3×C4C22×D412yes—
1061C2×C3×C4C22×D412yes—
1062#67—44no—
1063#67—44no—
1064#67—44no—
1065#67—44no—
1066#67—82no—
1067#67—82no—
1068C2×Dic3—21no—
1069C2×Dic3—21no—
1070C2×Dic3—21no—
1071C2×Dic3—21no—
1072C2×Dic3—21no—
1073C2×Dic3—21no—
1074C2×Dic3—21no—
1075C2×Dic3—21no—
1076C2×Dic3—21no—
1077C2×Dic3—21no—
1078C2×Dic3—21no—
1079C2×Dic3—21no—
1080C2×Dic3—21no—
1081C2×Dic3—21no—
1082C2×Dic3—21no—
1083C2×Dic3—21no—
1084C2×Dic3—21no—
1085C2×Dic3—21no—
1086C2×Dic3—21no—
1087C2×Dic3—21no—
1088C2×Dic3—21no—
1089C2×Dic3—21no—
1090C2×Dic3—21no—
1091C2×Dic3—21no—
1092C2×Dic3—21no—
1093C2×Dic3—21no—
1094C2×Dic3—21no—
1095C2×Dic3—21no—
1096C2×Dic3—21no—
1097C2×Dic3—21no—
1098C2×Dic3—21no—
1099C2×Dic3—44no—
1100C2×Dic3—44no—
1101C2×Dic3—44no—
1102C2×Dic3C22×D412yes—
1103C2×Dic3C22×D412yes—
1104C2×Dic3C22×D412yes—
1105C2×Dic3C2×#4112yes—
1106C2×Dic3H(5,𝔽2)12yes—
1107D12—44no—
1108D12—44no—
1109D12—82no—
1110D12—82no—
1111D12—82no—
1112C4×D3—44no—
1113C4×D3—44no—
1114C4×D3—82no—
1115C4×D3—82no—
1116C4×D3—82no—
1117C4×D3—82no—
1118Dic6—44no—
1119C24—31no—
1120C24—31no—
1121C24—31no—
1122C24—31no—
1123C24—62no—
1124C24—62no—
1125C24—121no—
1126C24—121no—
1127C24—121no—
1128C24—121no—
1129C24—121no—
1130C24C23×D311yescharacteristic
1131C24C23×D311yescharacteristic
1132C2×Q8—34no—
1133C2×Q8—121no—
1134C2×Q8—121no—
1135C2×D4—22no—
1136C2×D4—22no—
1137C2×D4—34no—
1138C2×D4—34no—
1139C2×D4—41no—
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—62no—
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—
1171C22×C4—22no—
1172C22×C4—22no—
1173C22×C4—31no—
1174C22×C4—31no—
1175C22×C4—31no—
1176C22×C4—31no—
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—41no—
1186C22×C4—41no—
1187C22×C4—41no—
1188C22×C4—41no—
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—62no—
1198C22×C4—62no—
1199C22×C4—62no—
1200C22×C4—62no—
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×C4—121no—
1212C22×C4—121no—
1213C22×C4—121no—
1214C22×C4—121no—
1215C22×C4—121no—
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
1225C22×C4C23×D311yescharacteristic
1226C22×C4C23×D311yescharacteristic
1227C22×C4C23×D311yescharacteristic
1228C22×C4C23×D311yescharacteristic
1229C4⋊C4—22no—
1230C4⋊C4—22no—
1231C4⋊C4—22no—
1232C4⋊C4—22no—
1233C4⋊C4—22no—
1234C4⋊C4—41no—
1235C4⋊C4—41no—
1236C4⋊C4—41no—
1237C4⋊C4—41no—
1238C4⋊C4—41no—
1239C4⋊C4—41no—
1240C4⋊C4—62no—
1241C4⋊C4—62no—
1242C4⋊C4—62no—
1243C4⋊C4—62no—
1244C4⋊C4—62no—
1245C4⋊C4—62no—
1246C4⋊C4—62no—
1247C4⋊C4—62no—
1248C4⋊C4—62no—
1249C4⋊C4—62no—
1250C4⋊C4—62no—
1251C4⋊C4—62no—
1252C4⋊C4—62no—
1253C4⋊C4—62no—
1254C4⋊C4—62no—
1255C4⋊C4—62no—
1256C4⋊C4—121no—
1257C4⋊C4—121no—
1258C4⋊C4—121no—
1259C4⋊C4—121no—
1260C4⋊C4—121no—
1261C4⋊C4—121no—
1262C22⋊C4—22no—
1263C22⋊C4—22no—
1264C22⋊C4—22no—
1265C22⋊C4—22no—
1266C22⋊C4—22no—
1267C22⋊C4—34no—
1268C22⋊C4—34no—
1269C22⋊C4—34no—
1270C22⋊C4—41no—
1271C22⋊C4—41no—
1272C22⋊C4—41no—
1273C22⋊C4—41no—
1274C22⋊C4—62no—
1275C22⋊C4—62no—
1276C22⋊C4—62no—
1277C22⋊C4—62no—
1278C22⋊C4—62no—
1279C22⋊C4—62no—
1280C22⋊C4—62no—
1281C22⋊C4—62no—
1282C22⋊C4—62no—
1283C22⋊C4—62no—
1284C22⋊C4—62no—
1285C22⋊C4—62no—
1286C22⋊C4—62no—
1287C22⋊C4—62no—
1288C22⋊C4—62no—
1289C22⋊C4—62no—
1290C22⋊C4—62no—
1291C22⋊C4—62no—
1292C22⋊C4—62no—
1293C22⋊C4—62no—
1294C22⋊C4—62no—
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—
1311C22⋊C4—121no—
1312C22⋊C4—121no—
1313C22⋊C4D3×D414yes—
1314C42—22no—
1315C42—34no—
1316C42—62no—
1317C42—62no—
1318C42—62no—
1319C42—62no—
1320C42—62no—
1321C42—121no—
1322C42—121no—
1323C42—121no—
1324C42—121no—
1325C22×C3—22no—
1326C22×C3—22no—
1327C22×C3—22no—
1328C22×C3—22no—
1329C22×C3—22no—
1330C22×C3—22no—
1331C22×C3—41no—
1332C22×C3—41no—
1333C22×C3—41no—
1334C22×C3—41no—
1335C22×C3—41no—
1336C22×C3—41no—
1337C22×C3—41no—
1338C22×C3—41no—
1339C22×C3C23×D411yescharacteristic
1340C22×C3C22×#4111yescharacteristic
1341C22×C3C2×H(5,𝔽2)11yescharacteristic
1342C22×C3#58511yescharacteristic
1343C22×C3#58511yescharacteristic
1344C22×C3#58511yescharacteristic
1345C22×C3#58511yescharacteristic
1346C2×D3—22no—
1347C2×D3—22no—
1348C2×D3—22no—
1349C2×D3—22no—
1350C2×D3—22no—
1351C2×D3—22no—
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—41no—
1374C2×D3—88no—
1375C3×C4—22no—
1376C3×C4—22no—
1377C3×C4—41no—
1378C3×C4—41no—
1379C3×C4—41no—
1380C3×C4—41no—
1381C3×C4—41no—
1382C3×C4—41no—
1383C3×C4—41no—
1384C3×C4—41no—
1385C3×C4—41no—
1386C3×C4—41no—
1387C3×C4—41no—
1388Dic3—22no—
1389Dic3—22no—
1390Dic3—22no—
1391Dic3—22no—
1392Dic3—22no—
1393Dic3—41no—
1394Dic3—41no—
1395Dic3—41no—
1396Dic3—41no—
1397Dic3—41no—
1398Dic3—41no—
1399Dic3—41no—
1400C23—21no—
1401C23—21no—
1402C23—21no—
1403C23—21no—
1404C23—21no—
1405C23—21no—
1406C23—21no—
1407C23—21no—
1408C23—21no—
1409C23—21no—
1410C23—21no—
1411C23—21no—
1412C23—32no—
1413C23—32no—
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—124no—
1441C23—124no—
1442C23—242no—
1443C23—242no—
1444C23—242no—
1445C23—242no—
1446C23—242no—
1447C23C2×D3×D412yes—
1448C23D3×#4112yes—
1449C23C24×D311yescharacteristic
1450Q8—124no—
1451D4—44no—
1452D4—124no—
1453D4—124no—
1454D4—124no—
1455D4—124no—
1456D4—124no—
1457D4—124no—
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—32no—
1504C2×C4—32no—
1505C2×C4—44no—
1506C2×C4—61no—
1507C2×C4—61no—
1508C2×C4—61no—
1509C2×C4—61no—
1510C2×C4—61no—
1511C2×C4—61no—
1512C2×C4—61no—
1513C2×C4—61no—
1514C2×C4—61no—
1515C2×C4—61no—
1516C2×C4—61no—
1517C2×C4—61no—
1518C2×C4—61no—
1519C2×C4—61no—
1520C2×C4—61no—
1521C2×C4—61no—
1522C2×C4—61no—
1523C2×C4—61no—
1524C2×C4—61no—
1525C2×C4—61no—
1526C2×C4—61no—
1527C2×C4—61no—
1528C2×C4—61no—
1529C2×C4—61no—
1530C2×C4—61no—
1531C2×C4—61no—
1532C2×C4—61no—
1533C2×C4—61no—
1534C2×C4—61no—
1535C2×C4—61no—
1536C2×C4—61no—
1537C2×C4—82no—
1538C2×C4—124no—
1539C2×C4—124no—
1540C2×C4—124no—
1541C2×C4—124no—
1542C2×C4—124no—
1543C2×C4—242no—
1544C2×C4—242no—
1545C2×C4—242no—
1546C2×C4—242no—
1547C2×C4C2×D3×D412yes—
1548C2×C4C2×D3×D412yes—
1549C2×C3—42no—
1550C2×C3—42no—
1551C2×C3#345911yescharacteristic
1552C2×C3D4×#4111yescharacteristic
1553C2×C3#348511yescharacteristic
1554C2×C3#348811yescharacteristic
1555C2×C3#352111yescharacteristic
1556C2×C3#356211yescharacteristic
1557C2×C3#356611yescharacteristic
1558D3—42no—
1559D3—42no—
1560D3—81no—
1561D3—81no—
1562C22—22no—
1563C22—22no—
1564C22—22no—
1565C22—22no—
1566C22—22no—
1567C22—22no—
1568C22—41no—
1569C22—41no—
1570C22—41no—
1571C22—41no—
1572C22—41no—
1573C22—41no—
1574C22—41no—
1575C22—41no—
1576C22—62no—
1577C22—62no—
1578C22—62no—
1579C22—62no—
1580C22—62no—
1581C22—62no—
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—121no—
1603C22—121no—
1604C22—248no—
1605C22C22×D3×D411yescharacteristic
1606C22C2×D3×#4111yescharacteristic
1607C22#596411yescharacteristic
1608C22D3×H(5,𝔽2)11yescharacteristic
1609C22#596611yescharacteristic
1610C22#596811yescharacteristic
1611C22#596811yescharacteristic
1612C4—22no—
1613C4—22no—
1614C4—41no—
1615C4—41no—
1616C4—41no—
1617C4—41no—
1618C4—41no—
1619C4—41no—
1620C4—41no—
1621C4—41no—
1622C4—41no—
1623C4—41no—
1624C4—41no—
1625C4—62no—
1626C4—62no—
1627C4—62no—
1628C4—62no—
1629C4—62no—
1630C4—121no—
1631C4—121no—
1632C4—121no—
1633C4—121no—
1634C4—121no—
1635C4—121no—
1636C4—121no—
1637C3#3782811yescharacteristic, complemented, Sylow
1638C2—42no—
1639C2—42no—
1640C2—122no—
1641C2—122no—
1642C2—241no—
1643C2—241no—
1644C2#8637911yescharacteristic
1645C2#8640711yescharacteristic
1646C2#8642811yescharacteristic
1647C2#8662611yescharacteristic
1648C2#8670011yescharacteristic
1649C2#8684011yescharacteristic
1650C2#8712511yescharacteristic
subgroupG/H
center, FrattiniC23C24×D3
commutator, socle, cosocleC23×C3C25
FittingC3×#2695C2
hypercenter#2695D3
hypocenterC3#37828
LCSG ▷ C23×C3 ▷ C3
UCSC1 ◁ C23 ◁ #2695

Complements

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

NH ≅ G/Ntype
1. C2×#5704C2semidirect
2. C2×#5649C2semidirect
3. C3×#2695C2semidirect
4. #83079C2semidirect
5. #82907C2semidirect
6. #78179C2semidirect
7. #78134C2semidirect
8. #77946C2semidirect
9. #77839C2semidirect
10. #77822C2semidirect
11. #77760C2semidirect
12. #77673C2semidirect
13. #77480C2semidirect
14. #77372C2semidirect
15. #77292C2semidirect
16. #77127C2semidirect
17. #76908C2semidirect
18. #76020C2semidirect
19. #76007C2semidirect
20. #75708C2semidirect
21. #75477C2semidirect
22. #74922C2semidirect
23. #74879C2semidirect
24. #74627C2semidirect
25. #74602C2semidirect
26. #74587C2semidirect
27. #74391C2semidirect
28. #74021C2semidirect
29. #73969C2semidirect
30. #73939C2semidirect
31. #73865C2semidirect
39. C2×#929C22semidirect
41. C22×C4×Dic3C22semidirect
45. C2×#898C22semidirect
52. C2×#892C22semidirect
53. C2×D3×C4⋊C4C22semidirect
54. C2×#889C22semidirect
55. C2×#887C22semidirect
65. C2×#67⋊C4C22semidirect
66. C2×#67⋊C4C22semidirect
69. C2×#878C22semidirect
73. C3×#400C22semidirect
74. C3×#398C22semidirect
75. C3×#398C22semidirect
77. C3×#396C22semidirect
79. C3×#389C22semidirect
80. C3×#388C22semidirect
83. C3×#385C22semidirect
85. C3×#380C22semidirect
97. #4993C22semidirect
98. #4993C22semidirect
104. #4990C22semidirect
105. #4990C22semidirect
106. #4990C22semidirect
108. #4989C22semidirect
112. #4984C22semidirect
113. #4983C22semidirect
114. #4982C22semidirect
115. #4982C22semidirect
116. #4980C22semidirect
117. #4978C22semidirect
118. #4978C22semidirect
119. #4976C22semidirect
120. Dic3×C4⋊C4C22semidirect
121. #4973C22semidirect
122. #4972C22semidirect
125. #4960C22semidirect
127. #4959C22semidirect
131. #4958C22semidirect
136. #4956C22semidirect
142. #4950C22semidirect
143. #4949C22semidirect
146. #4946C22semidirect
148. #4933C22semidirect
149. C4×Dic3⋊C4C22semidirect
153. #4675C22semidirect
157. #4672C22semidirect
161. #4670C22semidirect
166. #4669C22semidirect
169. #4668C22semidirect
170. #4668C22semidirect
171. #4668C22semidirect
175. #4666C22semidirect
176. #4666C22semidirect
179. #4665C22semidirect
180. #4665C22semidirect
181. #4664C22semidirect
182. #4658C22semidirect
183. #4657C22semidirect
184. #4654C22semidirect
185. #4651C22semidirect
186. #4650C22semidirect
187. #4647C22semidirect
188. #4647C22semidirect
189. #4646C22semidirect
196. #2695D3semidirect
364. #885D4semidirect
455. #400C2×D3semidirect
465. #398C2×D3semidirect
466. #398C2×D3semidirect
479. #396C2×D3semidirect
506. #389C2×D3semidirect
522. #388C2×D3semidirect
555. #385C2×D3semidirect
561. #380C2×D3semidirect
1637. C3#37828semidirect

Maximal subgroups

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

subgroupindex
C2×#57042
C2×#56492
C3×#26952
#830792
#829072
#781792
#781342
#779462
#778392
#778222
#777602
#776732
#774802
#773722
#772922
#771272
#769082
#760202
#760072
#757082
#754772
#749222
#748792
#746272
#746022
#745872
#743912
#740212
#739692
#739392
#738652
#378283