Finite Group Databasebeta

← #11235547

Subgroups — #11235547

Order 768.

2418 conjugacy classes of subgroups.

The subgroup lattice has 1670 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#5712C211yesmaximal, characteristic, complemented
2C2×#5524C211yesmaximal, characteristic, complemented
3C3×#2479C211yesmaximal, characteristic, complemented
4#83117C211yesmaximal, characteristic, complemented
5#82251C211yesmaximal, characteristic, complemented
6#78125C211yesmaximal, characteristic, complemented
7#78119C211yesmaximal, characteristic, complemented
8#78116C211yesmaximal, characteristic, complemented
9#78064C211yesmaximal, characteristic, complemented
10#78007C211yesmaximal, characteristic, complemented
11#77985C211yesmaximal, characteristic, complemented
12#77129C211yesmaximal, characteristic, complemented
13#77006C211yesmaximal, characteristic, complemented
14#76463C211yesmaximal, characteristic, complemented
15#76388C211yesmaximal, characteristic, complemented
16#76020C211yesmaximal, characteristic, complemented
17#76015C211yesmaximal, characteristic, complemented
18#75920C211yesmaximal, characteristic, complemented
19#75856C211yesmaximal, characteristic, complemented
20#75850C211yesmaximal, characteristic, complemented
21#75666C211yesmaximal, characteristic, complemented
22#75517C211yesmaximal, characteristic, complemented
23#75512C211yesmaximal, characteristic, complemented
24#75314C211yesmaximal, characteristic, complemented
25#75155C211yesmaximal, characteristic, complemented
26#74936C211yesmaximal, characteristic, complemented
27#74688C211yesmaximal, characteristic, complemented
28#74655C211yesmaximal, characteristic, complemented
29#74411C211yesmaximal, characteristic, complemented
30#73783C211yesmaximal, characteristic, complemented
31#73675C211yesmaximal, characteristic, complemented
32#45450—31nomaximal, Sylow
33C22×#235C2211yescharacteristic
34C23×C4×D3C2211yescharacteristic
35C2×C3×#126C2211yescharacteristic, complemented
36C2×C3×#117C2211yescharacteristic
37C2×#939C2211yescharacteristic
38C2×#937C2211yescharacteristic
39#5712—28no—
40#5524—28no—
41C2×#898C2211yescharacteristic
42C2×#897C2211yescharacteristic
43C2×#897C2211yescharacteristic
44C2×#896C2211yescharacteristic
45C2×#896C2211yescharacteristic
46C2×#896C2211yescharacteristic, complemented
47C2×#895C2211yescharacteristic
48C2×#895C2211yescharacteristic
49C2×#890C2211yescharacteristic, complemented
50C2×#889C2211yescharacteristic, complemented
51C2×#888C2211yescharacteristic, complemented
52C2×#886C2211yescharacteristic
53C2×#886C2211yescharacteristic
54C2×#886C2211yescharacteristic
55C2×#885C2211yescharacteristic
56C2×#885C2211yescharacteristic
57C2×#883C2211yescharacteristic
58C2×#883C2211yescharacteristic
59C2×#882C2211yescharacteristic
60C2×#882C2211yescharacteristic
61C2×#67⋊C4C2211yescharacteristic, complemented
62C2×#879C2211yescharacteristic, complemented
63C2×#878C2211yescharacteristic
64C2×#878C2211yescharacteristic, complemented
65C2×#878C2211yescharacteristic, complemented
66C2×#876C2211yescharacteristic
67C2×C4×D12C2211yescharacteristic
68C2×C4×D12C2211yescharacteristic
69C2×C4×D12C2211yescharacteristic
70C2×C4×D12C2211yescharacteristic
71C2×#869C2211yescharacteristic, complemented
72C3×#399C2211yescharacteristic
73C3×#399C2211yescharacteristic, complemented
74C3×#398C2211yescharacteristic, complemented
75C3×#394C2211yescharacteristic
76C3×#390C2211yescharacteristic
77C3×#389C2211yescharacteristic, complemented
78C3×#388C2211yescharacteristic
79C3×#388C2211yescharacteristic, complemented
80C3×#388C2211yescharacteristic, complemented
81C3×#387C2211yescharacteristic, complemented
82C3×#386C2211yescharacteristic
83C3×#385C2211yescharacteristic
84C3×C4×C4⋊C4C2211yescharacteristic, complemented
85#5223C2211yescharacteristic
86#5220C2211yescharacteristic
87#5210C2211yescharacteristic
88#5210C2211yescharacteristic
89#4994C2211yescharacteristic
90#4994C2211yescharacteristic
91#4994C2211yescharacteristic, complemented
92#4994C2211yescharacteristic, complemented
93#4994C2211yescharacteristic, complemented
94#4993C2211yescharacteristic
95#4993C2211yescharacteristic, complemented
96#4993C2211yescharacteristic, complemented
97#4992C2211yescharacteristic, complemented
98#4991C2211yescharacteristic
99#4991C2211yescharacteristic
100#4991C2211yescharacteristic
101#4991C2211yescharacteristic
102#4991C2211yescharacteristic, complemented
103#4990C2211yescharacteristic
104#4990C2211yescharacteristic
105#4989C2211yescharacteristic
106#4989C2211yescharacteristic
107#4989C2211yescharacteristic, complemented
108#4988C2211yescharacteristic
109#4988C2211yescharacteristic
110#4985C2211yescharacteristic, complemented
111#4984C2211yescharacteristic, complemented
112#4984C2211yescharacteristic, complemented
113#4983C2211yescharacteristic, complemented
114#4982C2211yescharacteristic, complemented
115#4980C2211yescharacteristic, complemented
116#4980C2211yescharacteristic, complemented
117#4972C2211yescharacteristic, complemented
118#4961C2211yescharacteristic
119#4961C2211yescharacteristic
120#4961C2211yescharacteristic, complemented
121#4960C2211yescharacteristic
122#4960C2211yescharacteristic
123#4960C2211yescharacteristic
124#4960C2211yescharacteristic
125#4960C2211yescharacteristic, complemented
126#4959C2211yescharacteristic
127#4959C2211yescharacteristic, complemented
128#4959C2211yescharacteristic, complemented
129#4958C2211yescharacteristic
130#4957C2211yescharacteristic
131#4957C2211yescharacteristic
132#4957C2211yescharacteristic
133#4957C2211yescharacteristic, complemented
134#4956C2211yescharacteristic
135#4956C2211yescharacteristic
136#4956C2211yescharacteristic, complemented
137#4955C2211yescharacteristic
138#4955C2211yescharacteristic
139#4955C2211yescharacteristic
140#4953C2211yescharacteristic
141#4950C2211yescharacteristic
142#4950C2211yescharacteristic, complemented
143#4948C2211yescharacteristic
144#4948C2211yescharacteristic, complemented
145#4945C2211yescharacteristic
146#4944C2211yescharacteristic
147#4942C2211yescharacteristic
148#4940C2211yescharacteristic
149#4940C2211yescharacteristic, complemented
150#4940C2211yescharacteristic, complemented
151#4939C2211yescharacteristic
152#4939C2211yescharacteristic
153#4933C2211yescharacteristic, complemented
154#4933C2211yescharacteristic, complemented
155C4×Dic3⋊C4C2211yescharacteristic, complemented
156#4928C2211yescharacteristic, complemented
157#4928C2211yescharacteristic, complemented
158#4677C2211yescharacteristic, complemented
159#4673C2211yescharacteristic
160#4673C2211yescharacteristic, complemented
161#4673C2211yescharacteristic, complemented
162#4672C2211yescharacteristic
163#4672C2211yescharacteristic
164#4672C2211yescharacteristic
165#4672C2211yescharacteristic
166#4672C2211yescharacteristic, complemented
167#4672C2211yescharacteristic, complemented
168#4670C2211yescharacteristic
169#4670C2211yescharacteristic, complemented
170#4669C2211yescharacteristic
171#4669C2211yescharacteristic
172#4668C2211yescharacteristic
173#4668C2211yescharacteristic
174#4668C2211yescharacteristic
175#4668C2211yescharacteristic
176#4668C2211yescharacteristic, complemented
177#4668C2211yescharacteristic, complemented
178#4667C2211yescharacteristic
179#4667C2211yescharacteristic
180#4667C2211yescharacteristic, complemented
181#4666C2211yescharacteristic, complemented
182#4664C2211yescharacteristic
183#4664C2211yescharacteristic
184#4657C2211yescharacteristic, complemented
185#4656C2211yescharacteristic, complemented
186#4654C2211yescharacteristic, complemented
187#4653C2211yescharacteristic, complemented
188#4646C2211yescharacteristic, complemented
189#4646C2211yescharacteristic, complemented
190C2×#563—31no—
191C2×#525—31no—
192#2849—31no—
193#2848—31no—
194#2816—31no—
195#2813—31no—
196#2732—31no—
197#2729—31no—
198#2714—31no—
199#2711—31no—
200#2705—31no—
201#2694—31no—
202#2685—31no—
203#2685—31no—
204#2681—31no—
205#2678—31no—
206#2674—31no—
207#2670—31no—
208#2479D311yescharacteristic, complemented
209#2475—31no—
210#2468—31no—
211#2467—31no—
212#2466—31no—
213#2463—31no—
214#2461—31no—
215#2455—31no—
216#2454—31no—
217#2452—31no—
218#2432—31no—
219#2407—31no—
220#2378—31no—
221C24×D3C2311yescharacteristic
222C22×C3×D4C2311yescharacteristic
223C23×C3×C4C2311yescharacteristic
224C22×#67C2311yescharacteristic
225C22×#67C2311yescharacteristic
226C22×#67C2311yescharacteristic
227C22×#67C2311yescharacteristic
228C22×#67C2311yescharacteristic
229C22×#67C2311yescharacteristic
230C23×Dic3C2311yescharacteristic
231C23×Dic3C2311yescharacteristic
232C2×#235—24no—
233C2×#235—42no—
234C2×#235—42no—
235C22×D12C2311yescharacteristic
236C22×D12C2311yescharacteristic
237C22×D12C2311yescharacteristic
238C22×D12C2311yescharacteristic
239C22×D12C2311yescharacteristic
240C22×C4×D3—24no—
241C22×C4×D3—42no—
242C22×C4×D3—42no—
243C22×C4×D3C2311yescharacteristic
244C22×C4×D3C2311yescharacteristic
245C22×C4×D3C2311yescharacteristic
246C22×C4×D3C2311yescharacteristic
247C22×C4×D3C2311yescharacteristic
248C22×C4×D3C2311yescharacteristic
249C22×Dic6C2311yescharacteristic
250C22×Dic6C2311yescharacteristic
251C22×Dic6C2311yescharacteristic
252C3×#126—24no—
253C3×#117—24no—
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×C4⋊C4C2311yescharacteristic
261C2×C3×C4⋊C4C2311yescharacteristic
262C2×C3×C4⋊C4C2311yescharacteristic
263C2×C3×C4⋊C4C2311yescharacteristic
264C2×C3×C22⋊C4C2311yescharacteristic
265C2×C3×C22⋊C4C2311yescharacteristic
266C2×C3×C22⋊C4C2311yescharacteristic
267C2×C3×C22⋊C4C2311yescharacteristic
268C2×C3×C22⋊C4C2311yescharacteristic
269C2×C3×C22⋊C4C2311yescharacteristic
270C2×C3×C22⋊C4C2311yescharacteristic
271C2×C3×C22⋊C4C2311yescharacteristic
272C2×C3×C22⋊C4C2311yescharacteristic
273C2×C3×C22⋊C4C2311yescharacteristic
274C2×C3×C22⋊C4C2311yescharacteristic
275C2×C3×C42C2311yescharacteristic
276C2×C3×C42C2311yescharacteristic
277C2×C3×C42C2311yescharacteristic
278C2×C3×C42C2311yescharacteristic
279C2×#217C2311yescharacteristic
280C2×#217C2311yescharacteristic
281C2×#217C2311yescharacteristic
282C2×#217C2311yescharacteristic
283C2×#217C2311yescharacteristic
284C2×#217C2311yescharacteristic
285C2×#217C2311yescharacteristic
286#939—42no—
287#937—42no—
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×C4⋊Dic3C2311yescharacteristic
331C2×C4⋊Dic3C2311yescharacteristic
332C2×C4⋊Dic3C2311yescharacteristic
333C2×C4⋊Dic3C2311yescharacteristic
334C2×C4⋊Dic3C2311yescharacteristic
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×Dic3⋊C4C2311yescharacteristic
344C2×Dic3⋊C4C2311yescharacteristic
345C2×Dic3⋊C4C2311yescharacteristic
346C2×Dic3⋊C4C2311yescharacteristic
347C2×Dic3⋊C4C2311yescharacteristic
348C2×Dic3⋊C4C2311yescharacteristic
349C2×Dic3⋊C4C2311yescharacteristic
350C2×Dic3⋊C4C2311yescharacteristic
351C2×C4×Dic3C2311yescharacteristic
352C2×C4×Dic3C2311yescharacteristic
353C2×C4×Dic3C2311yescharacteristic
354C2×C4×Dic3C2311yescharacteristic
355C2×C4×Dic3C2311yescharacteristic
356#898—24no—
357#897—24no—
358#897D418yescomplemented
359#896—24no—
360#896—42no—
361#896—42no—
362#895—24no—
363#895—24no—
364#890—24no—
365#889—24no—
366#888—24no—
367#886—24no—
368#886—24no—
369#886—24no—
370#885—24no—
371#885—42no—
372#883—24no—
373#883—42no—
374#882—24no—
375#882—24no—
376#67⋊C4—42no—
377#879—24no—
378#878—24no—
379#878—24no—
380#878—42no—
381#876—24no—
382C4×D12—24no—
383C4×D12—24no—
384C4×D12—24no—
385C4×D12—24no—
386#869—24no—
387C3×#95C2311yescharacteristic
388C3×#95C2311yescharacteristic
389C3×#95C2311yescharacteristic
390C3×#95C2311yescharacteristic
391C3×#95C2311yescharacteristic
392C3×#95C2311yescharacteristic
393C3×#95C2311yescharacteristic
394C3×#95C2311yescharacteristic
395C3⋊#95C2311yescharacteristic
396C3⋊#95C2311yescharacteristic
397C3⋊#95C2311yescharacteristic
398C3⋊#95C2311yescharacteristic
399C3⋊#95C2311yescharacteristic
400C3⋊#95C2311yescharacteristic
401C3⋊#95C2311yescharacteristic
402C3⋊#95C2311yescharacteristic
403C3⋊#95C2311yescharacteristic
404C3⋊#95C2311yescharacteristic
405C3⋊#95C2311yescharacteristic
406C3⋊#95C2311yescharacteristic
407C3⋊#95C2311yescharacteristic
408C3⋊#95C2311yescharacteristic
409C3⋊#95C2311yescharacteristic
410C3⋊#95C2311yescharacteristic
411C3⋊#95C2311yescharacteristic
412C3⋊#95C2311yescharacteristic
413C3⋊#95C2311yescharacteristic
414C3⋊#95C2311yescharacteristic
415C3⋊#95C2311yescharacteristic
416C3⋊#95C2311yescharacteristic
417C22×#41—31no—
418C24×C4—31no—
419#563—68no—
420C2×C4⋊Q8—31no—
421C2×C4⋊Q8—31no—
422C2×#126—31no—
423C2×#126—31no—
424C2×#126—31no—
425C2×#126C2×D311yescharacteristic, complemented
426C2×#125—31no—
427C2×#125—31no—
428C2×#124—31no—
429C2×#124—31no—
430#525—68no—
431C2×#123—31no—
432C2×#123—31no—
433C2×#123—31no—
434C2×#123—31no—
435C2×#123—31no—
436C2×C22⋊Q8—31no—
437C2×C22⋊Q8—31no—
438C2×C22⋊Q8—31no—
439C2×C22⋊Q8—31no—
440C2×C22⋊Q8—31no—
441C2×C22⋊Q8—31no—
442C2×C22⋊Q8—31no—
443C2×C22⋊Q8—31no—
444C2×#121—31no—
445C2×#121—31no—
446C2×#121—31no—
447C2×#120—31no—
448C2×#120—31no—
449C2×#120—31no—
450C2×C4×D4—31no—
451C2×C4×D4—31no—
452C2×C4×D4—31no—
453C2×C4×D4—31no—
454C2×C4×D4—31no—
455C2×#117C2×D311yescharacteristic
456#400—31no—
457#399—31no—
458#399—31no—
459#399—31no—
460#399—31no—
461#399C2×D311yescharacteristic
462#399C2×D311yescharacteristic, complemented
463#398—31no—
464#398—31no—
465#398—31no—
466#398C2×D311yescharacteristic, complemented
467#397—31no—
468#397—31no—
469#396—31no—
470#396—31no—
471#396—31no—
472#396—31no—
473#396—31no—
474#396—31no—
475#396—31no—
476#395—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#394—31no—
488#394—31no—
489#394—31no—
490#394—31no—
491#394—31no—
492#394—31no—
493#394—31no—
494#394C2×D311yescharacteristic
495#393—31no—
496#393—31no—
497#393—31no—
498#392—31no—
499#392—31no—
500#392—31no—
501#392—31no—
502#392—31no—
503#392—31no—
504#391—31no—
505#391—31no—
506#390—31no—
507#390—31no—
508#390—31no—
509#390—31no—
510#390—31no—
511#390—31no—
512#390—31no—
513#390—31no—
514#390C2×D311yescharacteristic
515#389—31no—
516#389—31no—
517#389—31no—
518#389—31no—
519#389—31no—
520#389C2×D311yescharacteristic, complemented
521#388—31no—
522#388—31no—
523#388—31no—
524#388—31no—
525#388—31no—
526#388—31no—
527#388—31no—
528#388—31no—
529#388—31no—
530#388—31no—
531#388—31no—
532#388C2×D311yescharacteristic
533#388C2×D311yescharacteristic, complemented
534#388C2×D311yescharacteristic, complemented
535#387—31no—
536#387—31no—
537#387—31no—
538#387—31no—
539#387—31no—
540#387—31no—
541#387C2×D311yescharacteristic, complemented
542#386—31no—
543#386—31no—
544#386—31no—
545#386—31no—
546#386—31no—
547#386C2×D311yescharacteristic
548#385—31no—
549#385—31no—
550#385—31no—
551#385—31no—
552#385—31no—
553#385—31no—
554#385—31no—
555#385—31no—
556#385—31no—
557#385—31no—
558#385—31no—
559#385—31no—
560#385—31no—
561#385C2×D311yescharacteristic
562#381—31no—
563#381—31no—
564#380—31no—
565#380—31no—
566#380—31no—
567#380—31no—
568#379—31no—
569#379—31no—
570#379—31no—
571C4×C4⋊C4—31no—
572C4×C4⋊C4C2×D311yescharacteristic, complemented
573C4×C22⋊C4—31no—
574C24×C3C2411yescharacteristic
575C24×C3C2411yescharacteristic
576C23×D3—22no—
577C23×D3—22no—
578C23×D3—22no—
579C23×D3—41no—
580C23×D3—41no—
581C23×D3—41no—
582C23×D3—41no—
583C23×D3C2411yescharacteristic
584C23×D3C2411yescharacteristic
585C23×D3C2411yescharacteristic
586C23×D3C2411yescharacteristic
587C2×C3×D4—22no—
588C2×C3×D4—41no—
589C2×C3×D4—41no—
590C22×C3×C4—22no—
591C22×C3×C4—22no—
592C22×C3×C4—22no—
593C22×C3×C4C2411yescharacteristic
594C22×C3×C4C2411yescharacteristic
595C22×C3×C4C2411yescharacteristic
596C22×C3×C4C2411yescharacteristic
597C22×C3×C4C2411yescharacteristic
598C22×C3×C4C2411yescharacteristic
599C22×C3×C4C2411yescharacteristic
600C22×C3×C4C2411yescharacteristic
601C22×C3×C4C2411yescharacteristic
602C22×C3×C4C2411yescharacteristic
603C22×C3×C4C2411yescharacteristic
604C22×C3×C4C2411yescharacteristic
605C22×C3×C4C2411yescharacteristic
606C2×#67—22no—
607C2×#67—22no—
608C2×#67—22no—
609C2×#67—22no—
610C2×#67—22no—
611C2×#67—22no—
612C2×#67—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×#67—41no—
623C2×#67—41no—
624C22×Dic3—22no—
625C22×Dic3—22no—
626C22×Dic3—22no—
627C22×Dic3—41no—
628C22×Dic3—41no—
629C22×Dic3—41no—
630C22×Dic3C2411yescharacteristic
631C22×Dic3C2411yescharacteristic
632C22×Dic3C2411yescharacteristic
633C22×Dic3C2411yescharacteristic
634C22×Dic3C2411yescharacteristic
635C22×Dic3C2411yescharacteristic
636C22×Dic3C2411yescharacteristic
637C22×Dic3C2411yescharacteristic
638C22×Dic3C2411yescharacteristic
639C22×Dic3C2411yescharacteristic
640C22×Dic3C2411yescharacteristic
641C22×Dic3C2411yescharacteristic
642#235—416no—
643C2×D12—22no—
644C2×D12—22no—
645C2×D12—22no—
646C2×D12—22no—
647C2×D12—22no—
648C2×D12—22no—
649C2×D12—22no—
650C2×D12—41no—
651C2×D12—41no—
652C2×D12—41no—
653C2×D12—41no—
654C2×D12—41no—
655C2×D12—41no—
656C2×D12—41no—
657C2×D12—41no—
658C2×C4×D3—22no—
659C2×C4×D3—22no—
660C2×C4×D3—22no—
661C2×C4×D3—22no—
662C2×C4×D3—22no—
663C2×C4×D3—22no—
664C2×C4×D3—22no—
665C2×C4×D3—22no—
666C2×C4×D3—22no—
667C2×C4×D3—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—416no—
676C2×C4×D3C2×D414yes—
677C2×Dic6—22no—
678C2×Dic6—22no—
679C2×Dic6—41no—
680C2×Dic6—41no—
681C2×Dic6—41no—
682C2×Dic6—41no—
683C2×Dic6—41no—
684C2×Dic6—41no—
685C2×Dic6C2×D414yes—
686C3×C4⋊C4—22no—
687C3×C4⋊C4—22no—
688C3×C4⋊C4—22no—
689C3×C4⋊C4—22no—
690C3×C4⋊C4—41no—
691C3×C4⋊C4—41no—
692C3×C4⋊C4—41no—
693C3×C4⋊C4—41no—
694C3×C4⋊C4—41no—
695C3×C4⋊C4C2×D414yes—
696C3×C22⋊C4—22no—
697C3×C22⋊C4—22no—
698C3×C22⋊C4—22no—
699C3×C22⋊C4—22no—
700C3×C22⋊C4—22no—
701C3×C22⋊C4—22no—
702C3×C22⋊C4—22no—
703C3×C22⋊C4—41no—
704C3×C22⋊C4—41no—
705C3×C22⋊C4—41no—
706C3×C22⋊C4—41no—
707C3×C42—22no—
708C3×C42—22no—
709C3×C42—22no—
710C3×C42—41no—
711#217—22no—
712#217—22no—
713#217—22no—
714#217—22no—
715#217—41no—
716#217—41no—
717#217—41no—
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—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)⋊C4—41no—
747(C2×D3)⋊C4—41no—
748(C2×D3)⋊C4—41no—
749(C2×D3)⋊C4—41no—
750(C2×D3)⋊C4—41no—
751(C2×D3)⋊C4—41no—
752(C2×D3)⋊C4C2×D414yes—
753(C2×D3)⋊C4C2×D414yes—
754C4⋊Dic3—22no—
755C4⋊Dic3—22no—
756C4⋊Dic3—22no—
757C4⋊Dic3—22no—
758C4⋊Dic3—22no—
759C4⋊Dic3—22no—
760C4⋊Dic3—41no—
761C4⋊Dic3—41no—
762C4⋊Dic3—41no—
763C4⋊Dic3C2×D414yes—
764C4⋊Dic3C2×D414yes—
765Dic3⋊C4—22no—
766Dic3⋊C4—22no—
767Dic3⋊C4—22no—
768Dic3⋊C4—22no—
769Dic3⋊C4—22no—
770Dic3⋊C4—22no—
771Dic3⋊C4—22no—
772Dic3⋊C4—22no—
773Dic3⋊C4—22no—
774Dic3⋊C4—41no—
775Dic3⋊C4—41no—
776Dic3⋊C4—41no—
777Dic3⋊C4—41no—
778Dic3⋊C4—41no—
779Dic3⋊C4—41no—
780Dic3⋊C4—41no—
781C4×Dic3—22no—
782C4×Dic3—22no—
783C4×Dic3—41no—
784C4×Dic3—41no—
785C4×Dic3—41no—
786C25—31no—
787C2×#41—64no—
788C2×#41—122no—
789C2×#41—122no—
790C22×Q8—31no—
791C22×Q8—31no—
792C22×Q8—31no—
793C22×D4—31no—
794C22×D4—31no—
795C22×D4—31no—
796C22×D4—31no—
797C22×D4—31no—
798C22×D4—31no—
799C22×D4—31no—
800C22×D4—31no—
801C22×D4—31no—
802C22×D4—31no—
803C22×D4—31no—
804C22×D4C22×D311yescharacteristic
805C23×C4—31no—
806C23×C4—31no—
807C23×C4—31no—
808C23×C4—31no—
809C23×C4—31no—
810C23×C4—31no—
811C23×C4—31no—
812C23×C4—31no—
813C23×C4—64no—
814C23×C4—122no—
815C23×C4—122no—
816C23×C4C22×D311yescharacteristic
817C4⋊Q8—64no—
818C4⋊Q8—64no—
819#126—24no—
820#126—64no—
821#126—64no—
822#126—64no—
823#125—64no—
824#125—64no—
825#124—64no—
826#124—122no—
827#123—64no—
828#123—64no—
829#123—64no—
830#123—64no—
831#123—122no—
832C22⋊Q8—38no—
833C22⋊Q8—64no—
834C22⋊Q8—64no—
835C22⋊Q8—64no—
836C22⋊Q8—64no—
837C22⋊Q8—122no—
838C22⋊Q8—122no—
839C22⋊Q8—122no—
840#121—64no—
841#121—64no—
842#121—122no—
843#120—64no—
844#120—64no—
845#120—122no—
846C4×D4—64no—
847C4×D4—64no—
848C4×D4—64no—
849C4×D4—64no—
850C4×D4—122no—
851#117—24no—
852C2×C4⋊C4—31no—
853C2×C4⋊C4—31no—
854C2×C4⋊C4—31no—
855C2×C4⋊C4—31no—
856C2×C4⋊C4—31no—
857C2×C4⋊C4—31no—
858C2×C4⋊C4—31no—
859C2×C4⋊C4—31no—
860C2×C4⋊C4—31no—
861C2×C4⋊C4—31no—
862C2×C4⋊C4—31no—
863C2×C4⋊C4—31no—
864C2×C4⋊C4—31no—
865C2×C4⋊C4—31no—
866C2×C4⋊C4—31no—
867C2×C4⋊C4—31no—
868C2×C4⋊C4—31no—
869C2×C4⋊C4—31no—
870C2×C4⋊C4—31no—
871C2×C4⋊C4—31no—
872C2×C4⋊C4—31no—
873C2×C4⋊C4—31no—
874C2×C4⋊C4—31no—
875C2×C4⋊C4—31no—
876C2×C4⋊C4—31no—
877C2×C4⋊C4—31no—
878C2×C4⋊C4—31no—
879C2×C4⋊C4C22×D311yescharacteristic
880C2×C4⋊C4C22×D311yescharacteristic
881C2×C4⋊C4C22×D311yescharacteristic
882C2×C4⋊C4C22×D311yescharacteristic
883C2×C4⋊C4C22×D311yescharacteristic
884C2×C4⋊C4C22×D311yescharacteristic
885C2×C4⋊C4C22×D311yescharacteristic
886C2×C4⋊C4C22×D311yescharacteristic
887C2×C4⋊C4C22×D311yescharacteristic
888C2×C4⋊C4C22×D311yescharacteristic
889C2×C22⋊C4—31no—
890C2×C22⋊C4—31no—
891C2×C22⋊C4—31no—
892C2×C22⋊C4—31no—
893C2×C22⋊C4—31no—
894C2×C22⋊C4—31no—
895C2×C22⋊C4—31no—
896C2×C22⋊C4—31no—
897C2×C22⋊C4—31no—
898C2×C22⋊C4—31no—
899C2×C22⋊C4—31no—
900C2×C22⋊C4—31no—
901C2×C22⋊C4—31no—
902C2×C22⋊C4—31no—
903C2×C22⋊C4—31no—
904C2×C22⋊C4—31no—
905C2×C22⋊C4—31no—
906C2×C22⋊C4—31no—
907C2×C22⋊C4—31no—
908C2×C22⋊C4—31no—
909C2×C22⋊C4—31no—
910C2×C22⋊C4—31no—
911C2×C22⋊C4—31no—
912C2×C22⋊C4—31no—
913C2×C22⋊C4—31no—
914C2×C22⋊C4—31no—
915C2×C22⋊C4—31no—
916C2×C22⋊C4—31no—
917C2×C22⋊C4—31no—
918C2×C22⋊C4—31no—
919C2×C22⋊C4—31no—
920C2×C22⋊C4—31no—
921C2×C22⋊C4—31no—
922C2×C22⋊C4—31no—
923C2×C22⋊C4—31no—
924C2×C22⋊C4—31no—
925C2×C22⋊C4—31no—
926C2×C22⋊C4—31no—
927C2×C22⋊C4—31no—
928C2×C22⋊C4—31no—
929C2×C22⋊C4—31no—
930C2×C22⋊C4—31no—
931C2×C22⋊C4—31no—
932C2×C22⋊C4C22×D311yescharacteristic
933C2×C22⋊C4C22×D311yescharacteristic
934C2×C22⋊C4C22×D311yescharacteristic
935C2×C22⋊C4C22×D311yescharacteristic
936C2×C22⋊C4C22×D311yescharacteristic
937C2×C22⋊C4C22×D311yescharacteristic
938C2×C22⋊C4C22×D311yescharacteristic
939C2×C22⋊C4C22×D311yescharacteristic
940C2×C22⋊C4C22×D311yescharacteristic
941C2×C22⋊C4C22×D311yescharacteristic
942C2×C22⋊C4C22×D311yescharacteristic
943C2×C42—31no—
944C2×C42—31no—
945C2×C42—31no—
946C2×C42—31no—
947C2×C42—31no—
948C2×C42C22×D311yescharacteristic
949C2×C42C22×D311yescharacteristic
950C2×C42C22×D311yescharacteristic
951C2×C42C22×D311yescharacteristic
952#95—31no—
953#95—31no—
954#95—31no—
955#95—31no—
956#95—31no—
957#95—31no—
958#95—31no—
959#95—31no—
960#95—31no—
961#95—31no—
962#95—31no—
963#95—31no—
964#95—31no—
965#95—31no—
966#95—31no—
967#95—31no—
968#95—31no—
969#95—31no—
970#95—31no—
971#95—31no—
972#95—31no—
973#95—31no—
974#95C22×D311yescharacteristic
975#95C22×D311yescharacteristic
976#95C22×D311yescharacteristic
977#95C22×D311yescharacteristic
978#95C22×D311yescharacteristic
979#95C22×D311yescharacteristic
980#95C22×D311yescharacteristic
981#95C22×D311yescharacteristic
982C23×C3—21no—
983C23×C3—21no—
984C23×C3—21no—
985C23×C3—21no—
986C23×C3—21no—
987C23×C3—21no—
988C23×C3—21no—
989C23×C3—21no—
990C23×C3—21no—
991C23×C3—21no—
992C23×C3—21no—
993C23×C3—21no—
994C23×C3—21no—
995C23×C3H(5,𝔽2)12yes—
996C23×C3C2511yescharacteristic
997C22×D3—21no—
998C22×D3—21no—
999C22×D3—21no—
1000C22×D3—21no—
1001C22×D3—21no—
1002C22×D3—21no—
1003C22×D3—21no—
1004C22×D3—21no—
1005C22×D3—21no—
1006C22×D3—21no—
1007C22×D3—21no—
1008C22×D3—21no—
1009C22×D3—21no—
1010C22×D3—21no—
1011C22×D3—21no—
1012C22×D3—21no—
1013C22×D3—21no—
1014C22×D3—21no—
1015C22×D3—21no—
1016C22×D3—21no—
1017C22×D3—21no—
1018C22×D3—21no—
1019C22×D3—21no—
1020C22×D3—21no—
1021C22×D3—21no—
1022C22×D3—21no—
1023C22×D3—44no—
1024C22×D3—44no—
1025C22×D3—44no—
1026C22×D3—44no—
1027C22×D3—44no—
1028C22×D3—44no—
1029C22×D3—44no—
1030C22×D3C22×D412yes—
1031C22×D32−1+412yes—
1032C3×D4—82no—
1033C2×C3×C4—28no—
1034C2×C3×C4—21no—
1035C2×C3×C4—21no—
1036C2×C3×C4—21no—
1037C2×C3×C4—21no—
1038C2×C3×C4—21no—
1039C2×C3×C4—21no—
1040C2×C3×C4—21no—
1041C2×C3×C4—21no—
1042C2×C3×C4—21no—
1043C2×C3×C4—21no—
1044C2×C3×C4—21no—
1045C2×C3×C4—21no—
1046C2×C3×C4—21no—
1047C2×C3×C4—21no—
1048C2×C3×C4—21no—
1049C2×C3×C4—21no—
1050C2×C3×C4—21no—
1051C2×C3×C4—21no—
1052C2×C3×C4—21no—
1053C2×C3×C4—21no—
1054C2×C3×C4—21no—
1055C2×C3×C4—21no—
1056C2×C3×C4—21no—
1057C2×C3×C4—21no—
1058C2×C3×C4—21no—
1059C2×C3×C4—21no—
1060C2×C3×C4—21no—
1061C2×C3×C4—21no—
1062C2×C3×C4—21no—
1063C2×C3×C4—21no—
1064C2×C3×C4—21no—
1065C2×C3×C4—21no—
1066C2×C3×C4—21no—
1067C2×C3×C4—21no—
1068C2×C3×C4—21no—
1069C2×C3×C4C22×D412yes—
1070C2×C3×C4C22×D412yes—
1071C2×C3×C4C22×D412yes—
1072C2×C3×C4H(5,𝔽2)12yes—
1073#67—44no—
1074#67—44no—
1075#67—44no—
1076#67—82no—
1077#67—82no—
1078#67—82no—
1079C2×Dic3—21no—
1080C2×Dic3—21no—
1081C2×Dic3—21no—
1082C2×Dic3—21no—
1083C2×Dic3—21no—
1084C2×Dic3—21no—
1085C2×Dic3—21no—
1086C2×Dic3—21no—
1087C2×Dic3—21no—
1088C2×Dic3—21no—
1089C2×Dic3—21no—
1090C2×Dic3—21no—
1091C2×Dic3—21no—
1092C2×Dic3—21no—
1093C2×Dic3—21no—
1094C2×Dic3—21no—
1095C2×Dic3—21no—
1096C2×Dic3—21no—
1097C2×Dic3—21no—
1098C2×Dic3—21no—
1099C2×Dic3—21no—
1100C2×Dic3—21no—
1101C2×Dic3—21no—
1102C2×Dic3—21no—
1103C2×Dic3—21no—
1104C2×Dic3—21no—
1105C2×Dic3—21no—
1106C2×Dic3—21no—
1107C2×Dic3—21no—
1108C2×Dic3—21no—
1109C2×Dic3—21no—
1110C2×Dic3—21no—
1111C2×Dic3—21no—
1112C2×Dic3—44no—
1113C2×Dic3—82no—
1114C2×Dic3C22×D412yes—
1115C2×Dic3C22×D412yes—
1116C2×Dic3C22×D412yes—
1117D12—44no—
1118D12—44no—
1119D12—44no—
1120D12—44no—
1121D12—44no—
1122C4×D3—44no—
1123C4×D3—44no—
1124C4×D3—44no—
1125C4×D3—44no—
1126C4×D3—44no—
1127C4×D3—44no—
1128Dic6—44no—
1129Dic6—82no—
1130Dic6—82no—
1131C24—31no—
1132C24—31no—
1133C24—31no—
1134C24—31no—
1135C24—62no—
1136C24—62no—
1137C24—62no—
1138C24—121no—
1139C24—121no—
1140C24—121no—
1141C24—121no—
1142C24C23×D311yescharacteristic
1143C24C23×D311yescharacteristic
1144#41—1216no—
1145C2×Q8—34no—
1146C2×Q8—62no—
1147C2×Q8—62no—
1148C2×Q8—121no—
1149C2×Q8—121no—
1150C2×Q8—121no—
1151C2×Q8—121no—
1152C2×Q8—121no—
1153C2×Q8—121no—
1154C2×D4—22no—
1155C2×D4—41no—
1156C2×D4—41no—
1157C2×D4—62no—
1158C2×D4—62no—
1159C2×D4—62no—
1160C2×D4—62no—
1161C2×D4—62no—
1162C2×D4—62no—
1163C2×D4—62no—
1164C2×D4—62no—
1165C2×D4—62no—
1166C2×D4—62no—
1167C2×D4—62no—
1168C2×D4—62no—
1169C2×D4—62no—
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—
1181C2×D4—121no—
1182C2×D4—121no—
1183C2×D4—121no—
1184C2×D4—121no—
1185C2×D4—121no—
1186C2×D4—121no—
1187C2×D4—121no—
1188C2×D4—121no—
1189C2×D4—121no—
1190C22×C4—22no—
1191C22×C4—22no—
1192C22×C4—22no—
1193C22×C4—31no—
1194C22×C4—31no—
1195C22×C4—31no—
1196C22×C4—34no—
1197C22×C4—31no—
1198C22×C4—31no—
1199C22×C4—31no—
1200C22×C4—31no—
1201C22×C4—31no—
1202C22×C4—31no—
1203C22×C4—31no—
1204C22×C4—31no—
1205C22×C4—31no—
1206C22×C4—62no—
1207C22×C4—62no—
1208C22×C4—62no—
1209C22×C4—62no—
1210C22×C4—62no—
1211C22×C4—62no—
1212C22×C4—62no—
1213C22×C4—62no—
1214C22×C4—62no—
1215C22×C4—62no—
1216C22×C4—62no—
1217C22×C4—62no—
1218C22×C4—121no—
1219C22×C4—121no—
1220C22×C4—121no—
1221C22×C4—121no—
1222C22×C4—121no—
1223C22×C4—121no—
1224C22×C4—121no—
1225C22×C4—121no—
1226C22×C4—1216no—
1227C22×C4—121no—
1228C22×C4—121no—
1229C22×C4—121no—
1230C22×C4C23×D311yescharacteristic
1231C22×C4C23×D311yescharacteristic
1232C22×C4C23×D311yescharacteristic
1233C22×C4C23×D311yescharacteristic
1234C22×C4C23×D311yescharacteristic
1235C22×C4C23×D311yescharacteristic
1236C22×C4C23×D311yescharacteristic
1237C22×C4C23×D311yescharacteristic
1238C22×C4C23×D311yescharacteristic
1239C22×C4C23×D311yescharacteristic
1240C22×C4C23×D311yescharacteristic
1241C22×C4C23×D311yescharacteristic
1242C22×C4C23×D311yescharacteristic
1243C4⋊C4—22no—
1244C4⋊C4—22no—
1245C4⋊C4—22no—
1246C4⋊C4—22no—
1247C4⋊C4—34no—
1248C4⋊C4—34no—
1249C4⋊C4—41no—
1250C4⋊C4—41no—
1251C4⋊C4—41no—
1252C4⋊C4—41no—
1253C4⋊C4—41no—
1254C4⋊C4—62no—
1255C4⋊C4—62no—
1256C4⋊C4—62no—
1257C4⋊C4—62no—
1258C4⋊C4—62no—
1259C4⋊C4—62no—
1260C4⋊C4—62no—
1261C4⋊C4—62no—
1262C4⋊C4—62no—
1263C4⋊C4—62no—
1264C4⋊C4—62no—
1265C4⋊C4—62no—
1266C4⋊C4—62no—
1267C4⋊C4—62no—
1268C4⋊C4—62no—
1269C4⋊C4—121no—
1270C4⋊C4—121no—
1271C4⋊C4—121no—
1272C4⋊C4—121no—
1273C4⋊C4—121no—
1274C4⋊C4—121no—
1275C4⋊C4—121no—
1276C4⋊C4—121no—
1277C4⋊C4—121no—
1278C4⋊C4—121no—
1279C4⋊C4D3×D414yes—
1280C22⋊C4—22no—
1281C22⋊C4—22no—
1282C22⋊C4—22no—
1283C22⋊C4—22no—
1284C22⋊C4—22no—
1285C22⋊C4—22no—
1286C22⋊C4—22no—
1287C22⋊C4—34no—
1288C22⋊C4—34no—
1289C22⋊C4—41no—
1290C22⋊C4—41no—
1291C22⋊C4—41no—
1292C22⋊C4—41no—
1293C22⋊C4—62no—
1294C22⋊C4—62no—
1295C22⋊C4—62no—
1296C22⋊C4—62no—
1297C22⋊C4—62no—
1298C22⋊C4—62no—
1299C22⋊C4—62no—
1300C22⋊C4—62no—
1301C22⋊C4—62no—
1302C22⋊C4—62no—
1303C22⋊C4—62no—
1304C22⋊C4—62no—
1305C22⋊C4—62no—
1306C22⋊C4—62no—
1307C22⋊C4—121no—
1308C22⋊C4—121no—
1309C22⋊C4—121no—
1310C22⋊C4—121no—
1311C22⋊C4—121no—
1312C22⋊C4—121no—
1313C22⋊C4—121no—
1314C22⋊C4—121no—
1315C22⋊C4—121no—
1316C22⋊C4—121no—
1317C22⋊C4—121no—
1318C22⋊C4—121no—
1319C22⋊C4—121no—
1320C22⋊C4—121no—
1321C22⋊C4—121no—
1322C22⋊C4—121no—
1323C22⋊C4—121no—
1324C22⋊C4—121no—
1325C22⋊C4—121no—
1326C22⋊C4—121no—
1327C22⋊C4—121no—
1328C22⋊C4—121no—
1329C22⋊C4—121no—
1330C22⋊C4—121no—
1331C22⋊C4—121no—
1332C22⋊C4—121no—
1333C22⋊C4—121no—
1334C42—22no—
1335C42—22no—
1336C42—22no—
1337C42—41no—
1338C42—62no—
1339C42—62no—
1340C42—121no—
1341C42—121no—
1342C42—121no—
1343C22×C3—22no—
1344C22×C3—22no—
1345C22×C3—22no—
1346C22×C3—41no—
1347C22×C3—41no—
1348C22×C3—41no—
1349C22×C3—41no—
1350C22×C3—41no—
1351C22×C3—41no—
1352C22×C3—41no—
1353C22×C3—41no—
1354C22×C3—41no—
1355C22×C3—41no—
1356C22×C3—41no—
1357C22×C3C23×D411yescharacteristic
1358C22×C3C2×H(5,𝔽2)11yescharacteristic
1359C22×C3C2×H(5,𝔽2)11yescharacteristic
1360C22×C3C2×2−1+411yescharacteristic
1361C22×C3#58511yescharacteristic
1362C22×C3#58511yescharacteristic
1363C22×C3#58511yescharacteristic
1364C2×D3—22no—
1365C2×D3—22no—
1366C2×D3—22no—
1367C2×D3—22no—
1368C2×D3—22no—
1369C2×D3—22no—
1370C2×D3—416no—
1371C2×D3—41no—
1372C2×D3—41no—
1373C2×D3—41no—
1374C2×D3—41no—
1375C2×D3—41no—
1376C2×D3—41no—
1377C2×D3—41no—
1378C2×D3—41no—
1379C2×D3—41no—
1380C2×D3—41no—
1381C2×D3—41no—
1382C2×D3—41no—
1383C2×D3—41no—
1384C2×D3—41no—
1385C2×D3—41no—
1386C2×D3—41no—
1387C2×D3—41no—
1388C2×D3—41no—
1389C2×D3—41no—
1390C2×D3—41no—
1391C2×D3—41no—
1392C2×D3—41no—
1393C3×C4—22no—
1394C3×C4—22no—
1395C3×C4—22no—
1396C3×C4—22no—
1397C3×C4—41no—
1398C3×C4—41no—
1399C3×C4—41no—
1400C3×C4—41no—
1401C3×C4—41no—
1402C3×C4—41no—
1403C3×C4—41no—
1404C3×C4—41no—
1405C3×C4—41no—
1406Dic3—22no—
1407Dic3—22no—
1408Dic3—22no—
1409Dic3—41no—
1410Dic3—41no—
1411Dic3—41no—
1412Dic3—41no—
1413Dic3—41no—
1414Dic3—41no—
1415Dic3—41no—
1416Dic3—41no—
1417Dic3—41no—
1418C23—21no—
1419C23—21no—
1420C23—21no—
1421C23—21no—
1422C23—21no—
1423C23—21no—
1424C23—21no—
1425C23—21no—
1426C23—21no—
1427C23—21no—
1428C23—21no—
1429C23—21no—
1430C23—21no—
1431C23—32no—
1432C23—32no—
1433C23—61no—
1434C23—61no—
1435C23—61no—
1436C23—61no—
1437C23—61no—
1438C23—61no—
1439C23—61no—
1440C23—61no—
1441C23—61no—
1442C23—61no—
1443C23—61no—
1444C23—61no—
1445C23—61no—
1446C23—61no—
1447C23—61no—
1448C23—61no—
1449C23—61no—
1450C23—61no—
1451C23—61no—
1452C23—61no—
1453C23—61no—
1454C23—61no—
1455C23—61no—
1456C23—61no—
1457C23—61no—
1458C23—61no—
1459C23—124no—
1460C23—124no—
1461C23—124no—
1462C23—124no—
1463C23—124no—
1464C23—124no—
1465C23—124no—
1466C23#100912yes—
1467C23C24×D311yescharacteristic
1468Q8—124no—
1469Q8—242no—
1470Q8—242no—
1471D4—82no—
1472D4—124no—
1473D4—124no—
1474D4—124no—
1475D4—124no—
1476D4—124no—
1477D4—124no—
1478D4—124no—
1479D4—124no—
1480D4—242no—
1481D4—242no—
1482D4—242no—
1483C2×C4—28no—
1484C2×C4—21no—
1485C2×C4—21no—
1486C2×C4—21no—
1487C2×C4—21no—
1488C2×C4—21no—
1489C2×C4—21no—
1490C2×C4—21no—
1491C2×C4—21no—
1492C2×C4—21no—
1493C2×C4—21no—
1494C2×C4—21no—
1495C2×C4—21no—
1496C2×C4—21no—
1497C2×C4—21no—
1498C2×C4—21no—
1499C2×C4—21no—
1500C2×C4—21no—
1501C2×C4—21no—
1502C2×C4—21no—
1503C2×C4—21no—
1504C2×C4—21no—
1505C2×C4—21no—
1506C2×C4—21no—
1507C2×C4—21no—
1508C2×C4—21no—
1509C2×C4—21no—
1510C2×C4—21no—
1511C2×C4—21no—
1512C2×C4—21no—
1513C2×C4—21no—
1514C2×C4—21no—
1515C2×C4—21no—
1516C2×C4—21no—
1517C2×C4—21no—
1518C2×C4—21no—
1519C2×C4—32no—
1520C2×C4—32no—
1521C2×C4—32no—
1522C2×C4—61no—
1523C2×C4—61no—
1524C2×C4—61no—
1525C2×C4—61no—
1526C2×C4—61no—
1527C2×C4—61no—
1528C2×C4—61no—
1529C2×C4—61no—
1530C2×C4—61no—
1531C2×C4—61no—
1532C2×C4—61no—
1533C2×C4—61no—
1534C2×C4—61no—
1535C2×C4—61no—
1536C2×C4—61no—
1537C2×C4—61no—
1538C2×C4—61no—
1539C2×C4—61no—
1540C2×C4—61no—
1541C2×C4—61no—
1542C2×C4—61no—
1543C2×C4—61no—
1544C2×C4—61no—
1545C2×C4—61no—
1546C2×C4—61no—
1547C2×C4—61no—
1548C2×C4—61no—
1549C2×C4—61no—
1550C2×C4—61no—
1551C2×C4—61no—
1552C2×C4—61no—
1553C2×C4—61no—
1554C2×C4—61no—
1555C2×C4—124no—
1556C2×C4—124no—
1557C2×C4—124no—
1558C2×C4—124no—
1559C2×C4—124no—
1560C2×C4—124no—
1561C2×C4—124no—
1562C2×C4—242no—
1563C2×C4C2×D3×D412yes—
1564C2×C4C2×D3×D412yes—
1565C2×C4C2×D3×D412yes—
1566C2×C4#100912yes—
1567C2×C3—42no—
1568C2×C3—81no—
1569C2×C3#348411yescharacteristic
1570C2×C3#348711yescharacteristic
1571C2×C3#348911yescharacteristic
1572C2×C3#352911yescharacteristic
1573C2×C3#353311yescharacteristic
1574C2×C3#353511yescharacteristic
1575C2×C3#354111yescharacteristic
1576D3—42no—
1577D3—42no—
1578D3—81no—
1579D3—81no—
1580C22—22no—
1581C22—22no—
1582C22—22no—
1583C22—41no—
1584C22—41no—
1585C22—41no—
1586C22—41no—
1587C22—41no—
1588C22—41no—
1589C22—41no—
1590C22—41no—
1591C22—41no—
1592C22—41no—
1593C22—41no—
1594C22—62no—
1595C22—62no—
1596C22—62no—
1597C22—62no—
1598C22—62no—
1599C22—62no—
1600C22—1216no—
1601C22—121no—
1602C22—121no—
1603C22—121no—
1604C22—121no—
1605C22—121no—
1606C22—121no—
1607C22—121no—
1608C22—121no—
1609C22—121no—
1610C22—121no—
1611C22—121no—
1612C22—121no—
1613C22—121no—
1614C22—121no—
1615C22—121no—
1616C22—121no—
1617C22—121no—
1618C22—121no—
1619C22—121no—
1620C22—121no—
1621C22—121no—
1622C22—121no—
1623C22C22×D3×D411yescharacteristic
1624C22C2×#100911yescharacteristic
1625C22C2×#100911yescharacteristic
1626C22#596411yescharacteristic
1627C22#596411yescharacteristic
1628C22#596611yescharacteristic
1629C22D3×2−1+411yescharacteristic
1630C4—22no—
1631C4—22no—
1632C4—22no—
1633C4—22no—
1634C4—41no—
1635C4—41no—
1636C4—41no—
1637C4—41no—
1638C4—41no—
1639C4—41no—
1640C4—41no—
1641C4—41no—
1642C4—41no—
1643C4—62no—
1644C4—62no—
1645C4—62no—
1646C4—121no—
1647C4—121no—
1648C4—121no—
1649C4—121no—
1650C4—121no—
1651C4—121no—
1652C4—121no—
1653C4—121no—
1654C4—121no—
1655C3#4545011yescharacteristic, complemented, Sylow
1656C2—42no—
1657C2—81no—
1658C2—122no—
1659C2—122no—
1660C2—241no—
1661C2—241no—
1662C2#8603911yescharacteristic
1663C2#8617111yescharacteristic
1664C2#8656211yescharacteristic
1665C2#8667711yescharacteristic
1666C2#8678311yescharacteristic
1667C2#8681911yescharacteristic
1668C2#8684411yescharacteristic
subgroupG/H
center, FrattiniC23C24×D3
commutator, socle, cosocleC23×C3C25
FittingC3×#2479C2
hypercenter#2479D3
hypocenterC3#45450
LCSG ▷ C23×C3 ▷ C3
UCSC1 ◁ C23 ◁ #2479

Complements

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

NH ≅ G/Ntype
1. C2×#5712C2semidirect
2. C2×#5524C2semidirect
3. C3×#2479C2semidirect
4. #83117C2semidirect
5. #82251C2semidirect
6. #78125C2semidirect
7. #78119C2semidirect
8. #78116C2semidirect
9. #78064C2semidirect
10. #78007C2semidirect
11. #77985C2semidirect
12. #77129C2semidirect
13. #77006C2semidirect
14. #76463C2semidirect
15. #76388C2semidirect
16. #76020C2semidirect
17. #76015C2semidirect
18. #75920C2semidirect
19. #75856C2semidirect
20. #75850C2semidirect
21. #75666C2semidirect
22. #75517C2semidirect
23. #75512C2semidirect
24. #75314C2semidirect
25. #75155C2semidirect
26. #74936C2semidirect
27. #74688C2semidirect
28. #74655C2semidirect
29. #74411C2semidirect
30. #73783C2semidirect
31. #73675C2semidirect
35. C2×C3×#126C22semidirect
46. C2×#896C22semidirect
49. C2×#890C22semidirect
50. C2×#889C22semidirect
51. C2×#888C22semidirect
61. C2×#67⋊C4C22semidirect
62. C2×#879C22semidirect
64. C2×#878C22semidirect
65. C2×#878C22semidirect
71. C2×#869C22semidirect
73. C3×#399C22semidirect
74. C3×#398C22semidirect
77. C3×#389C22semidirect
79. C3×#388C22semidirect
80. C3×#388C22semidirect
81. C3×#387C22semidirect
84. C3×C4×C4⋊C4C22semidirect
91. #4994C22semidirect
92. #4994C22semidirect
93. #4994C22semidirect
95. #4993C22semidirect
96. #4993C22semidirect
97. #4992C22semidirect
102. #4991C22semidirect
107. #4989C22semidirect
110. #4985C22semidirect
111. #4984C22semidirect
112. #4984C22semidirect
113. #4983C22semidirect
114. #4982C22semidirect
115. #4980C22semidirect
116. #4980C22semidirect
117. #4972C22semidirect
120. #4961C22semidirect
125. #4960C22semidirect
127. #4959C22semidirect
128. #4959C22semidirect
133. #4957C22semidirect
136. #4956C22semidirect
142. #4950C22semidirect
144. #4948C22semidirect
149. #4940C22semidirect
150. #4940C22semidirect
153. #4933C22semidirect
154. #4933C22semidirect
155. C4×Dic3⋊C4C22semidirect
156. #4928C22semidirect
157. #4928C22semidirect
158. #4677C22semidirect
160. #4673C22semidirect
161. #4673C22semidirect
166. #4672C22semidirect
167. #4672C22semidirect
169. #4670C22semidirect
176. #4668C22semidirect
177. #4668C22semidirect
180. #4667C22semidirect
181. #4666C22semidirect
184. #4657C22semidirect
185. #4656C22semidirect
186. #4654C22semidirect
187. #4653C22semidirect
188. #4646C22semidirect
189. #4646C22semidirect
208. #2479D3semidirect
358. #897D4semidirect
425. C2×#126C2×D3semidirect
462. #399C2×D3semidirect
466. #398C2×D3semidirect
520. #389C2×D3semidirect
533. #388C2×D3semidirect
534. #388C2×D3semidirect
541. #387C2×D3semidirect
572. C4×C4⋊C4C2×D3semidirect
1655. C3#45450semidirect

Maximal subgroups

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

subgroupindex
C2×#57122
C2×#55242
C3×#24792
#831172
#822512
#781252
#781192
#781162
#780642
#780072
#779852
#771292
#770062
#764632
#763882
#760202
#760152
#759202
#758562
#758502
#756662
#755172
#755122
#753142
#751552
#749362
#746882
#746552
#744112
#737832
#736752
#454503