Finite Group Databasebeta

← #11069739

Subgroups — #11069739

Order 768.

2296 conjugacy classes of subgroups.

The subgroup lattice has 1654 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#5733C211yesmaximal, characteristic, complemented
2C2×#5644C211yesmaximal, characteristic, complemented
3C3×#2492C211yesmaximal, characteristic, complemented
4#83265C211yesmaximal, characteristic, complemented
5#82804C211yesmaximal, characteristic, complemented
6#78369C211yesmaximal, characteristic, complemented
7#78365C211yesmaximal, characteristic, complemented
8#78212C211yesmaximal, characteristic, complemented
9#78139C211yesmaximal, characteristic, complemented
10#76876C211yesmaximal, characteristic, complemented
11#76873C211yesmaximal, characteristic, complemented
12#76814C211yesmaximal, characteristic, complemented
13#76787C211yesmaximal, characteristic, complemented
14#76662C211yesmaximal, characteristic, complemented
15#76652C211yesmaximal, characteristic, complemented
16#76635C211yesmaximal, characteristic, complemented
17#76635C211yesmaximal, characteristic, complemented
18#76624C211yesmaximal, characteristic, complemented
19#76540C211yesmaximal, characteristic, complemented
20#76539C211yesmaximal, characteristic, complemented
21#76515C211yesmaximal, characteristic, complemented
22#75846C211yesmaximal, characteristic, complemented
23#75527C211yesmaximal, characteristic, complemented
24#75481C211yesmaximal, characteristic, complemented
25#75452C211yesmaximal, characteristic, complemented
26#74039C211yesmaximal, characteristic, complemented
27#74021C211yesmaximal, characteristic, complemented
28#73803C211yesmaximal, characteristic, complemented
29C4×#894C211yesmaximal, characteristic, complemented
30#73600C211yesmaximal, characteristic, complemented
31#73574C211yesmaximal, characteristic, complemented
32#39389—31nomaximal, Sylow
33C2×C3×C4⋊Q8C2211yescharacteristic, complemented
34C2×C3×C22⋊Q8C2211yescharacteristic
35C2×#947C2211yescharacteristic
36C2×#947C2211yescharacteristic
37C2×#947C2211yescharacteristic
38C2×#947C2211yescharacteristic
39C2×#947C2211yescharacteristic
40C2×#946C2211yescharacteristic, complemented
41C2×#946C2211yescharacteristic, complemented
42C2×#946C2211yescharacteristic, complemented
43C2×#930C2211yescharacteristic
44C22×(C2×D3)⋊C4C2211yescharacteristic
45#5733—28no—
46#5644—28no—
47C2×#898C2211yescharacteristic
48C2×#898C2211yescharacteristic
49C2×#898C2211yescharacteristic, complemented
50C2×#898C2211yescharacteristic, complemented
51C2×#897C2211yescharacteristic
52C2×#895C2211yescharacteristic
53C2×#895C2211yescharacteristic
54C2×#895C2211yescharacteristic
55C2×#894C2211yescharacteristic
56C2×#894C2211yescharacteristic
57C2×#894C2211yescharacteristic
58C2×#893C2211yescharacteristic, complemented
59C2×#887C2211yescharacteristic, complemented
60C2×#885C2211yescharacteristic
61C2×#884C2211yescharacteristic
62C2×#882C2211yescharacteristic
63C2×#882C2211yescharacteristic
64C2×#882C2211yescharacteristic
65C2×#67⋊C4C2211yescharacteristic
66C2×#67⋊C4C2211yescharacteristic
67C2×#67⋊C4C2211yescharacteristic
68C2×D3×C22⋊C4C2211yescharacteristic
69C2×#875C2211yescharacteristic, complemented
70C2×C4×D12C2211yescharacteristic
71C2×#872C2211yescharacteristic
72C2×C42×D3C2211yescharacteristic, complemented
73C3×#400C2211yescharacteristic, complemented
74C3×#400C2211yescharacteristic, complemented
75C3×#393C2211yescharacteristic
76C3×#393C2211yescharacteristic
77C3×#391C2211yescharacteristic, complemented
78C3×#391C2211yescharacteristic, complemented
79C3×#391C2211yescharacteristic, complemented
80C3×#391C2211yescharacteristic, complemented
81C3×#388C2211yescharacteristic
82C3×#388C2211yescharacteristic
83C3×#380C2211yescharacteristic
84C3×C4×C4⋊C4C2211yescharacteristic, complemented
85C3×C4×C22⋊C4C2211yescharacteristic
86#5231C2211yescharacteristic
87#5231C2211yescharacteristic, complemented
88#5230C2211yescharacteristic, complemented
89#5230C2211yescharacteristic, complemented
90#5213C2211yescharacteristic
91#5210C2211yescharacteristic
92#4994C2211yescharacteristic
93#4994C2211yescharacteristic, complemented
94#4993C2211yescharacteristic
95#4993C2211yescharacteristic, complemented
96#4992C2211yescharacteristic, complemented
97#4992C2211yescharacteristic, complemented
98#4991C2211yescharacteristic
99#4991C2211yescharacteristic
100#4990C2211yescharacteristic
101#4989C2211yescharacteristic, complemented
102#4989C2211yescharacteristic, complemented
103#4980C2211yescharacteristic, complemented
104#4977C2211yescharacteristic, complemented
105#4976C2211yescharacteristic, complemented
106#4972C2211yescharacteristic, complemented
107#4961C2211yescharacteristic
108#4961C2211yescharacteristic
109#4961C2211yescharacteristic
110#4961C2211yescharacteristic
111#4960C2211yescharacteristic
112#4957C2211yescharacteristic
113#4957C2211yescharacteristic
114#4956C2211yescharacteristic
115#4955C2211yescharacteristic
116#4955C2211yescharacteristic
117#4953C2211yescharacteristic
118#4946C2211yescharacteristic
119#4946C2211yescharacteristic
120#4944C2211yescharacteristic
121Dic3×C22⋊C4C2211yescharacteristic
122#4940C2211yescharacteristic
123#4940C2211yescharacteristic
124#4940C2211yescharacteristic, complemented
125#4940C2211yescharacteristic, complemented
126#4939C2211yescharacteristic
127#4939C2211yescharacteristic
128#4939C2211yescharacteristic, complemented
129C4×(C2×D3)⋊C4C2211yescharacteristic
130C4×(C2×D3)⋊C4C2211yescharacteristic
131C4×(C2×D3)⋊C4C2211yescharacteristic, complemented
132C4×(C2×D3)⋊C4C2211yescharacteristic, complemented
133C4×Dic3⋊C4C2211yescharacteristic, complemented
134#4675C2211yescharacteristic
135#4675C2211yescharacteristic
136#4675C2211yescharacteristic, complemented
137#4675C2211yescharacteristic, complemented
138#4674C2211yescharacteristic
139#4673C2211yescharacteristic
140#4672C2211yescharacteristic
141#4672C2211yescharacteristic
142#4672C2211yescharacteristic
143#4672C2211yescharacteristic
144#4672C2211yescharacteristic, complemented
145#4671C2211yescharacteristic
146#4671C2211yescharacteristic
147#4671C2211yescharacteristic
148#4671C2211yescharacteristic, complemented
149#4670C2211yescharacteristic
150#4670C2211yescharacteristic
151#4670C2211yescharacteristic, complemented
152#4669C2211yescharacteristic
153#4669C2211yescharacteristic
154#4669C2211yescharacteristic
155#4669C2211yescharacteristic
156#4669C2211yescharacteristic
157#4669C2211yescharacteristic, complemented
158#4669C2211yescharacteristic, complemented
159#4669C2211yescharacteristic, complemented
160#4669C2211yescharacteristic, complemented
161#4668C2211yescharacteristic
162#4667C2211yescharacteristic
163#4667C2211yescharacteristic, complemented
164#4666C2211yescharacteristic, complemented
165#4665C2211yescharacteristic
166#4665C2211yescharacteristic
167#4665C2211yescharacteristic
168#4665C2211yescharacteristic
169#4665C2211yescharacteristic
170#4665C2211yescharacteristic
171#4665C2211yescharacteristic
172#4665C2211yescharacteristic, complemented
173#4665C2211yescharacteristic, complemented
174#4665C2211yescharacteristic, complemented
175#4665C2211yescharacteristic, complemented
176#4665C2211yescharacteristic, complemented
177#4664C2211yescharacteristic
178#4664C2211yescharacteristic, complemented
179#4661C2211yescharacteristic, complemented
180#4661C2211yescharacteristic, complemented
181#4656C2211yescharacteristic, complemented
182#4655C2211yescharacteristic, complemented
183#4655C2211yescharacteristic, complemented
184#4655C2211yescharacteristic, complemented
185#4654C2211yescharacteristic, complemented
186#4654C2211yescharacteristic, complemented
187#4649C2211yescharacteristic, complemented
188#4649C2211yescharacteristic, complemented
189#4646C2211yescharacteristic, complemented
190C2×#542—31no—
191C2×#538—31no—
192#2850—31no—
193#2723—31no—
194#2712—31no—
195#2698—31no—
196#2691—31no—
197#2688—31no—
198#2684—31no—
199#2674—31no—
200#2670—31no—
201#2638—31no—
202#2635—31no—
203#2560—31no—
204#2557—31no—
205#2555—31no—
206#2554—31no—
207#2521—31no—
208#2521—31no—
209#2492D311yescharacteristic, complemented
210#2474—31no—
211#2472—31no—
212#2469—31no—
213#2463—31no—
214#2427—31no—
215#2424—31no—
216#2418—31no—
217#2367—31no—
218#2342—31no—
219C4×#123—31no—
220C4×#121—31no—
221C24×D3C2311yescharacteristic
222C22×C3×Q8C2311yescharacteristic
223C22×C3×Q8C2311yescharacteristic
224C22×C3×Q8C2311yescharacteristic
225C23×C3×C4C2311yescharacteristic
226C22×#67C2311yescharacteristic
227C22×#67C2311yescharacteristic
228C22×#67C2311yescharacteristic
229C23×Dic3C2311yescharacteristic
230C22×D12C2311yescharacteristic
231C22×D12C2311yescharacteristic
232C22×D12C2311yescharacteristic
233C22×D12C2311yescharacteristic
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×C4×D3C2311yescharacteristic
246C22×Dic6C2311yescharacteristic
247C3×C4⋊Q8—24no—
248C3×C22⋊Q8—24no—
249C2×C3×C4⋊C4C2311yescharacteristic
250C2×C3×C4⋊C4C2311yescharacteristic
251C2×C3×C4⋊C4C2311yescharacteristic
252C2×C3×C4⋊C4C2311yescharacteristic
253C2×C3×C4⋊C4C2311yescharacteristic
254C2×C3×C4⋊C4C2311yescharacteristic
255C2×C3×C4⋊C4C2311yescharacteristic
256C2×C3×C22⋊C4C2311yescharacteristic
257C2×C3×C22⋊C4C2311yescharacteristic
258C2×C3×C22⋊C4C2311yescharacteristic
259C2×C3×C22⋊C4C2311yescharacteristic
260C2×C3×C22⋊C4C2311yescharacteristic
261C2×C3×C22⋊C4C2311yescharacteristic
262C2×C3×C42C2311yescharacteristic
263C2×C3×C42C2311yescharacteristic
264C2×C3×C42C2311yescharacteristic
265C2×C3×C42C2311yescharacteristic
266C2×#217C2311yescharacteristic
267C2×#217C2311yescharacteristic
268C2×#217C2311yescharacteristic
269#947—24no—
270#947—24no—
271#947—24no—
272#947—24no—
273#947—42no—
274#946—24no—
275#946—24no—
276#946—42no—
277#930—24no—
278C2×(C2×D3)⋊C4—24no—
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×(C2×D3)⋊C4C2311yescharacteristic
320C2×(C2×D3)⋊C4C2311yescharacteristic
321C2×(C2×D3)⋊C4C2311yescharacteristic
322C2×(C2×D3)⋊C4C2311yescharacteristic
323C2×(C2×D3)⋊C4C2311yescharacteristic
324C2×C4⋊Dic3C2311yescharacteristic
325C2×C4⋊Dic3C2311yescharacteristic
326C2×C4⋊Dic3C2311yescharacteristic
327C2×C4⋊Dic3C2311yescharacteristic
328C2×C4⋊Dic3C2311yescharacteristic
329C2×C4⋊Dic3C2311yescharacteristic
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
352#898—24no—
353#898—24no—
354#898—24no—
355#898—24no—
356#897—24no—
357#895—24no—
358#895—24no—
359#895—24no—
360#894—24no—
361#894—24no—
362#894D418yescomplemented
363#893—24no—
364#887—24no—
365#885—24no—
366#884—24no—
367#882—24no—
368#882—24no—
369#882—42no—
370#67⋊C4—24no—
371#67⋊C4—24no—
372#67⋊C4—42no—
373D3×C22⋊C4—24no—
374#875—24no—
375C4×D12—42no—
376#872—24no—
377C42×D3—42no—
378C3×#95C2311yescharacteristic
379C3×#95C2311yescharacteristic
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#542—68no—
415#538—68no—
416C2×C4⋊Q8C2×D311yescharacteristic, complemented
417C2×#126—31no—
418C2×#126—31no—
419C2×#126—31no—
420C2×#126—31no—
421C2×#124—31no—
422C2×#124—31no—
423C2×#124—31no—
424C2×#124—31no—
425C2×#124—31no—
426C2×#124—31no—
427C2×#124—31no—
428C2×#123—31no—
429C2×#123—31no—
430C2×#123—31no—
431C2×C22⋊Q8—31no—
432C2×C22⋊Q8—31no—
433C2×C22⋊Q8—31no—
434C2×C22⋊Q8—31no—
435C2×C22⋊Q8C2×D311yescharacteristic
436C2×#121—31no—
437C2×#121—31no—
438C2×#121—31no—
439C2×#121—31no—
440C2×#121—31no—
441C2×#120—31no—
442C2×#120—31no—
443C2×#120—31no—
444C2×C4×Q8—31no—
445C2×C4×D4—31no—
446C2×C4×D4—31no—
447C2×C4×D4—31no—
448C2×C4×D4—31no—
449C2×C4×D4—31no—
450C2×#117—31no—
451C22×C22⋊C4—31no—
452C22×C22⋊C4—31no—
453C22×C42—31no—
454#400C2×D311yescharacteristic, complemented
455#400C2×D311yescharacteristic, complemented
456#399—31no—
457#399—31no—
458#398—31no—
459#398—31no—
460#397—31no—
461#397—31no—
462#397—31no—
463#397—31no—
464#397—31no—
465#397—31no—
466#397—31no—
467#397—31no—
468#396—31no—
469#396—31no—
470#395—31no—
471#395—31no—
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#393—31no—
485#393—31no—
486#393—31no—
487#393C2×D311yescharacteristic
488#393C2×D311yescharacteristic
489#392—31no—
490#392—31no—
491#392—31no—
492#392—31no—
493#392—31no—
494#391—31no—
495#391C2×D311yescharacteristic, complemented
496#391C2×D311yescharacteristic, complemented
497#391C2×D311yescharacteristic, complemented
498#391C2×D311yescharacteristic, complemented
499#390—31no—
500#390—31no—
501#390—31no—
502#390—31no—
503#390—31no—
504#389—31no—
505#389—31no—
506#388—31no—
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#388—31no—
523#388—31no—
524#388C2×D311yescharacteristic
525#388C2×D311yescharacteristic
526#387—31no—
527#387—31no—
528#387—31no—
529#387—31no—
530#387—31no—
531#387—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#386—31no—
543#386—31no—
544#386—31no—
545#386—31no—
546#385—31no—
547#385—31no—
548#385—31no—
549#385—31no—
550#385—31no—
551#385—31no—
552#382—31no—
553#381—31no—
554#381—31no—
555#380—31no—
556#380—31no—
557#380C2×D311yescharacteristic
558#379—31no—
559#379—31no—
560C4×C4⋊C4—31no—
561C4×C4⋊C4—31no—
562C4×C4⋊C4—31no—
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⋊C4C2×D311yescharacteristic
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
584C2×C3×Q8—22no—
585C2×C3×Q8—22no—
586C2×C3×Q8—22no—
587C2×C3×Q8—41no—
588C2×C3×Q8—41no—
589C2×C3×Q8—41no—
590C2×C3×Q8—41no—
591C2×C3×Q8—41no—
592C2×C3×Q8—41no—
593C22×C3×C4—22no—
594C22×C3×C4—41no—
595C22×C3×C4—41no—
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
606C22×C3×C4C2411yescharacteristic
607C22×C3×C4C2411yescharacteristic
608C22×C3×C4C2411yescharacteristic
609C22×C3×C4C2411yescharacteristic
610C2×#67—22no—
611C2×#67—22no—
612C2×#67—22no—
613C2×#67—22no—
614C2×#67—22no—
615C2×#67—22no—
616C2×#67—41no—
617C2×#67—41no—
618C2×#67—41no—
619C22×Dic3—22no—
620C22×Dic3—41no—
621C22×Dic3—41no—
622C22×Dic3C2411yescharacteristic
623C22×Dic3C2411yescharacteristic
624C22×Dic3C2411yescharacteristic
625C22×Dic3C2411yescharacteristic
626C22×Dic3C2411yescharacteristic
627C22×Dic3C2411yescharacteristic
628C22×Dic3C2411yescharacteristic
629C22×Dic3C2411yescharacteristic
630C22×Dic3C2411yescharacteristic
631C22×Dic3C2411yescharacteristic
632C22×Dic3C2411yescharacteristic
633C2×D12—22no—
634C2×D12—22no—
635C2×D12—22no—
636C2×D12—22no—
637C2×D12—22no—
638C2×D12—22no—
639C2×D12—22no—
640C2×D12—41no—
641C2×D12—41no—
642C2×D12—41no—
643C2×D12—41no—
644C2×D12—41no—
645C2×D12—41no—
646C2×D12—41no—
647C2×D12—41no—
648C2×D12—41no—
649C2×D12—41no—
650C2×D12—41no—
651C2×D12—41no—
652C2×D12—41no—
653C2×D12—41no—
654C2×D12—41no—
655C2×D12—41no—
656C2×D12—41no—
657C2×D12—41no—
658C2×D12—41no—
659C2×D12C2×D414yes—
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×C4×D3—41no—
679C2×C4×D3—41no—
680C2×C4×D3C2×D414yes—
681C2×Dic6—22no—
682C2×Dic6—22no—
683C2×Dic6—41no—
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—41no—
694C3×C22⋊C4—41no—
695C3×C22⋊C4—41no—
696C3×C22⋊C4#4114yes—
697C3×C42—22no—
698C3×C42—41no—
699C3×C42—41no—
700C3×C42—41no—
701#217—22no—
702#217—22no—
703#217—41no—
704(C2×D3)⋊C4—22no—
705(C2×D3)⋊C4—22no—
706(C2×D3)⋊C4—22no—
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—22no—
728(C2×D3)⋊C4—22no—
729(C2×D3)⋊C4—22no—
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—
749C4⋊Dic3—22no—
750C4⋊Dic3—22no—
751C4⋊Dic3—22no—
752C4⋊Dic3—22no—
753C4⋊Dic3—41no—
754C4⋊Dic3—41no—
755Dic3⋊C4—22no—
756Dic3⋊C4—22no—
757Dic3⋊C4—22no—
758Dic3⋊C4—22no—
759Dic3⋊C4—22no—
760Dic3⋊C4—22no—
761Dic3⋊C4—41no—
762Dic3⋊C4—41no—
763Dic3⋊C4—41no—
764Dic3⋊C4—41no—
765Dic3⋊C4—41no—
766Dic3⋊C4—41no—
767Dic3⋊C4C2×D414yes—
768C4×Dic3—22no—
769C4×Dic3—22no—
770C4×Dic3—22no—
771C4×Dic3—22no—
772C4×Dic3—22no—
773C4×Dic3—22no—
774C4×Dic3—22no—
775C4×Dic3—22no—
776C4×Dic3—41no—
777C25—31no—
778C22×Q8—31no—
779C22×Q8C22×D311yescharacteristic
780C22×Q8C22×D311yescharacteristic
781C22×Q8C22×D311yescharacteristic
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—
792C22×D4—31no—
793C22×D4—31no—
794C23×C4—31no—
795C23×C4—31no—
796C23×C4—31no—
797C23×C4—31no—
798C23×C4—31no—
799C23×C4—31no—
800C23×C4—31no—
801C23×C4—31no—
802C23×C4C22×D311yescharacteristic
803C4⋊Q8—24no—
804#126—64no—
805#126—64no—
806#126—64no—
807#126—64no—
808#124—64no—
809#124—64no—
810#124—64no—
811#124—64no—
812#124—64no—
813#124—64no—
814#124—122no—
815#123—38no—
816#123—64no—
817#123—64no—
818C22⋊Q8—24no—
819C22⋊Q8—64no—
820C22⋊Q8—64no—
821C22⋊Q8—64no—
822C22⋊Q8—122no—
823#121—64no—
824#121—64no—
825#121—64no—
826#121—64no—
827#121—64no—
828#120—64no—
829#120—64no—
830#120—122no—
831C4×Q8—64no—
832C4×D4—64no—
833C4×D4—64no—
834C4×D4—64no—
835C4×D4—122no—
836C4×D4—122no—
837#117—64no—
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⋊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×C22⋊C4—31no—
865C2×C22⋊C4—31no—
866C2×C22⋊C4—31no—
867C2×C22⋊C4—31no—
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—64no—
913C2×C22⋊C4—64no—
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×C42—31no—
921C2×C42—31no—
922C2×C42—31no—
923C2×C42—31no—
924C2×C42—31no—
925C2×C42—31no—
926C2×C42—31no—
927C2×C42—31no—
928C2×C42—31no—
929C2×C42—122no—
930C2×C42C22×D311yescharacteristic
931C2×C42C22×D311yescharacteristic
932C2×C42C22×D311yescharacteristic
933C2×C42C22×D311yescharacteristic
934#95—31no—
935#95—31no—
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#95C22×D311yescharacteristic
957#95C22×D311yescharacteristic
958#95C22×D311yescharacteristic
959#95C22×D311yescharacteristic
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×C3C2×#4112yes—
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—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×D3C22×D412yes—
1020C3×Q8—82no—
1021C3×Q8—82no—
1022C3×Q8—82no—
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—21no—
1059C2×C3×C4—21no—
1060C2×C3×C4—82no—
1061C2×C3×C4C22×D412yes—
1062C2×C3×C4C22×D412yes—
1063C2×C3×C4C22×D412yes—
1064C2×C3×C4C2×#4112yes—
1065C2×C3×C4C2×#4112yes—
1066#67—44no—
1067#67—44no—
1068#67—44no—
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—82no—
1100C2×Dic3C22×D412yes—
1101C2×Dic3C22×D412yes—
1102C2×Dic3H(5,𝔽2)12yes—
1103D12—44no—
1104D12—44no—
1105D12—82no—
1106D12—82no—
1107D12—82no—
1108D12—82no—
1109D12—82no—
1110D12—82no—
1111D12—82no—
1112C4×D3—44no—
1113C4×D3—44no—
1114C4×D3—44no—
1115C4×D3—44no—
1116C4×D3—82no—
1117C4×D3—82no—
1118C4×D3—82no—
1119Dic6—44no—
1120C24—31no—
1121C24—31no—
1122C24—31no—
1123C24—31no—
1124C24—31no—
1125C24—62no—
1126C24—62no—
1127C24—121no—
1128C24—121no—
1129C24—121no—
1130C24—121no—
1131C24—121no—
1132C24C23×D311yescharacteristic
1133C2×Q8—22no—
1134C2×Q8—22no—
1135C2×Q8—22no—
1136C2×Q8—41no—
1137C2×Q8—41no—
1138C2×Q8—41no—
1139C2×Q8—41no—
1140C2×Q8—41no—
1141C2×Q8—41no—
1142C2×Q8—62no—
1143C2×Q8—62no—
1144C2×Q8—121no—
1145C2×D4—34no—
1146C2×D4—62no—
1147C2×D4—62no—
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—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—
1173C2×D4—121no—
1174C2×D4—121no—
1175C2×D4—121no—
1176C2×D4—121no—
1177C2×D4—121no—
1178C2×D4—121no—
1179C2×D4—121no—
1180C2×D4—121no—
1181C22×C4—22no—
1182C22×C4—31no—
1183C22×C4—31no—
1184C22×C4—31no—
1185C22×C4—34no—
1186C22×C4—31no—
1187C22×C4—31no—
1188C22×C4—31no—
1189C22×C4—31no—
1190C22×C4—31no—
1191C22×C4—31no—
1192C22×C4—31no—
1193C22×C4—31no—
1194C22×C4—41no—
1195C22×C4—41no—
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—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×C4—121no—
1217C22×C4—121no—
1218C22×C4—121no—
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
1229C22×C4C23×D311yescharacteristic
1230C22×C4C23×D311yescharacteristic
1231C22×C4C23×D311yescharacteristic
1232C22×C4C23×D311yescharacteristic
1233C4⋊C4—22no—
1234C4⋊C4—22no—
1235C4⋊C4—22no—
1236C4⋊C4—22no—
1237C4⋊C4—22no—
1238C4⋊C4—34no—
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—121no—
1251C4⋊C4—121no—
1252C4⋊C4—121no—
1253C4⋊C4—121no—
1254C4⋊C4—121no—
1255C4⋊C4—121no—
1256C4⋊C4—121no—
1257C4⋊C4—121no—
1258C4⋊C4D3×D414yes—
1259C22⋊C4—22no—
1260C22⋊C4—22no—
1261C22⋊C4—34no—
1262C22⋊C4—34no—
1263C22⋊C4—34no—
1264C22⋊C4—41no—
1265C22⋊C4—41no—
1266C22⋊C4—41no—
1267C22⋊C4—62no—
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—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#23914yes—
1313C42—22no—
1314C42—41no—
1315C42—41no—
1316C42—41no—
1317C42—62no—
1318C42—62no—
1319C42—62no—
1320C42—62no—
1321C42—62no—
1322C42—62no—
1323C42—62no—
1324C42—62no—
1325C42—121no—
1326C22×C3—22no—
1327C22×C3—22no—
1328C22×C3—22no—
1329C22×C3—41no—
1330C22×C3—41no—
1331C22×C3—41no—
1332C22×C3—41no—
1333C22×C3C23×D411yescharacteristic
1334C22×C3C22×#4111yescharacteristic
1335C22×C3C2×H(5,𝔽2)11yescharacteristic
1336C22×C3#58511yescharacteristic
1337C22×C3#58511yescharacteristic
1338C22×C3#58511yescharacteristic
1339C22×C3#58511yescharacteristic
1340C2×D3—22no—
1341C2×D3—22no—
1342C2×D3—22no—
1343C2×D3—22no—
1344C2×D3—22no—
1345C2×D3—22no—
1346C2×D3—41no—
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—41no—
1374C2×D3—41no—
1375C2×D3—88no—
1376C3×C4—22no—
1377C3×C4—22no—
1378C3×C4—22no—
1379C3×C4—22no—
1380C3×C4—22no—
1381C3×C4—41no—
1382C3×C4—41no—
1383C3×C4—41no—
1384C3×C4—41no—
1385C3×C4—41no—
1386C3×C4—41no—
1387C3×C4—41no—
1388C3×C4—41no—
1389C3×C4—41no—
1390Dic3—22no—
1391Dic3—22no—
1392Dic3—22no—
1393Dic3—41no—
1394Dic3—41no—
1395Dic3—41no—
1396Dic3—41no—
1397Dic3—41no—
1398Dic3—41no—
1399Dic3—41no—
1400Dic3—41no—
1401C23—21no—
1402C23—21no—
1403C23—21no—
1404C23—21no—
1405C23—21no—
1406C23—21no—
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—61no—
1442C23—124no—
1443C23—124no—
1444C23—242no—
1445C23—242no—
1446C23—242no—
1447C23—242no—
1448C23—242no—
1449C23C2×#23912yes—
1450C23C24×D311yescharacteristic
1451Q8—82no—
1452Q8—82no—
1453Q8—82no—
1454Q8—124no—
1455D4—124no—
1456D4—124no—
1457D4—124no—
1458D4—124no—
1459D4—124no—
1460D4—242no—
1461D4—242no—
1462D4—242no—
1463D4—242no—
1464D4—242no—
1465D4—242no—
1466D4—242no—
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—21no—
1501C2×C4—21no—
1502C2×C4—21no—
1503C2×C4—21no—
1504C2×C4—32no—
1505C2×C4—32no—
1506C2×C4—32no—
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—242no—
1543C2×C4—242no—
1544C2×C4—242no—
1545C2×C4—242no—
1546C2×C4C2×D3×D412yes—
1547C2×C4C2×D3×D412yes—
1548C2×C4C2×D3×D412yes—
1549C2×C4C2×#23912yes—
1550C2×C4C2×#23912yes—
1551C2×C3—42no—
1552C2×C3#345511yescharacteristic
1553C2×C3D4×#4111yescharacteristic
1554C2×C3#349611yescharacteristic
1555C2×C3#350011yescharacteristic
1556C2×C3#351311yescharacteristic
1557C2×C3#354011yescharacteristic
1558C2×C3#356811yescharacteristic
1559D3—42no—
1560D3—42no—
1561D3—81no—
1562D3—81no—
1563D3—81no—
1564C22—22no—
1565C22—22no—
1566C22—22no—
1567C22—41no—
1568C22—41no—
1569C22—41no—
1570C22—41no—
1571C22—62no—
1572C22—62no—
1573C22—62no—
1574C22—62no—
1575C22—62no—
1576C22—62no—
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—121no—
1603C22—121no—
1604C22—121no—
1605C22—121no—
1606C22—248no—
1607C22C22×D3×D411yescharacteristic
1608C22C22×#23911yescharacteristic
1609C22#596411yescharacteristic
1610C22#596411yescharacteristic
1611C22#596411yescharacteristic
1612C22D3×H(5,𝔽2)11yescharacteristic
1613C22#596811yescharacteristic
1614C4—22no—
1615C4—22no—
1616C4—22no—
1617C4—22no—
1618C4—22no—
1619C4—41no—
1620C4—41no—
1621C4—41no—
1622C4—41no—
1623C4—41no—
1624C4—41no—
1625C4—41no—
1626C4—41no—
1627C4—41no—
1628C4—62no—
1629C4—62no—
1630C4—62no—
1631C4—121no—
1632C4—121no—
1633C4—121no—
1634C4—121no—
1635C4—121no—
1636C4—121no—
1637C4—121no—
1638C4—121no—
1639C3#3938911yescharacteristic, complemented, Sylow
1640C2—42no—
1641C2—122no—
1642C2—122no—
1643C2—241no—
1644C2—241no—
1645C2—241no—
1646C2#8607611yescharacteristic
1647C2#8627311yescharacteristic
1648C2#8653011yescharacteristic
1649C2#8666511yescharacteristic
1650C2D4×#23911yescharacteristic
1651C2#8692911yescharacteristic
1652C2#8700211yescharacteristic
subgroupG/H
center, FrattiniC23C24×D3
commutator, socle, cosocleC23×C3C25
FittingC3×#2492C2
hypercenter#2492D3
hypocenterC3#39389
LCSG ▷ C23×C3 ▷ C3
UCSC1 ◁ C23 ◁ #2492

Complements

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

NH ≅ G/Ntype
1. C2×#5733C2semidirect
2. C2×#5644C2semidirect
3. C3×#2492C2semidirect
4. #83265C2semidirect
5. #82804C2semidirect
6. #78369C2semidirect
7. #78365C2semidirect
8. #78212C2semidirect
9. #78139C2semidirect
10. #76876C2semidirect
11. #76873C2semidirect
12. #76814C2semidirect
13. #76787C2semidirect
14. #76662C2semidirect
15. #76652C2semidirect
16. #76635C2semidirect
17. #76635C2semidirect
18. #76624C2semidirect
19. #76540C2semidirect
20. #76539C2semidirect
21. #76515C2semidirect
22. #75846C2semidirect
23. #75527C2semidirect
24. #75481C2semidirect
25. #75452C2semidirect
26. #74039C2semidirect
27. #74021C2semidirect
28. #73803C2semidirect
29. C4×#894C2semidirect
30. #73600C2semidirect
31. #73574C2semidirect
33. C2×C3×C4⋊Q8C22semidirect
40. C2×#946C22semidirect
41. C2×#946C22semidirect
42. C2×#946C22semidirect
49. C2×#898C22semidirect
50. C2×#898C22semidirect
58. C2×#893C22semidirect
59. C2×#887C22semidirect
69. C2×#875C22semidirect
72. C2×C42×D3C22semidirect
73. C3×#400C22semidirect
74. C3×#400C22semidirect
77. C3×#391C22semidirect
78. C3×#391C22semidirect
79. C3×#391C22semidirect
80. C3×#391C22semidirect
84. C3×C4×C4⋊C4C22semidirect
87. #5231C22semidirect
88. #5230C22semidirect
89. #5230C22semidirect
93. #4994C22semidirect
95. #4993C22semidirect
96. #4992C22semidirect
97. #4992C22semidirect
101. #4989C22semidirect
102. #4989C22semidirect
103. #4980C22semidirect
104. #4977C22semidirect
105. #4976C22semidirect
106. #4972C22semidirect
124. #4940C22semidirect
125. #4940C22semidirect
128. #4939C22semidirect
131. C4×(C2×D3)⋊C4C22semidirect
132. C4×(C2×D3)⋊C4C22semidirect
133. C4×Dic3⋊C4C22semidirect
136. #4675C22semidirect
137. #4675C22semidirect
144. #4672C22semidirect
148. #4671C22semidirect
151. #4670C22semidirect
157. #4669C22semidirect
158. #4669C22semidirect
159. #4669C22semidirect
160. #4669C22semidirect
163. #4667C22semidirect
164. #4666C22semidirect
172. #4665C22semidirect
173. #4665C22semidirect
174. #4665C22semidirect
175. #4665C22semidirect
176. #4665C22semidirect
178. #4664C22semidirect
179. #4661C22semidirect
180. #4661C22semidirect
181. #4656C22semidirect
182. #4655C22semidirect
183. #4655C22semidirect
184. #4655C22semidirect
185. #4654C22semidirect
186. #4654C22semidirect
187. #4649C22semidirect
188. #4649C22semidirect
189. #4646C22semidirect
209. #2492D3semidirect
362. #894D4semidirect
416. C2×C4⋊Q8C2×D3semidirect
454. #400C2×D3semidirect
455. #400C2×D3semidirect
495. #391C2×D3semidirect
496. #391C2×D3semidirect
497. #391C2×D3semidirect
498. #391C2×D3semidirect
563. C4×C4⋊C4C2×D3semidirect
1639. C3#39389semidirect

Maximal subgroups

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

subgroupindex
C2×#57332
C2×#56442
C3×#24922
#832652
#828042
#783692
#783652
#782122
#781392
#768762
#768732
#768142
#767872
#766622
#766522
#766352
#766242
#765402
#765392
#765152
#758462
#755272
#754812
#754522
#740392
#740212
#738032
C4×#8942
#736002
#735742
#393893