Finite Group Databasebeta

← #11633307

Subgroups — #11633307

Order 768.

2588 conjugacy classes of subgroups.

The subgroup lattice has 1636 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#5694C211yesmaximal, characteristic, complemented
2C22×#894C211yesmaximal, characteristic
3C3×#2473C211yesmaximal, characteristic, complemented
4#83047C211yesmaximal, characteristic, complemented
5#82172C211yesmaximal, characteristic, complemented
6#78346C211yesmaximal, characteristic, complemented
7#78140C211yesmaximal, characteristic, complemented
8#77972C211yesmaximal, characteristic, complemented
9#77955C211yesmaximal, characteristic, complemented
10#77946C211yesmaximal, characteristic, complemented
11#77946C211yesmaximal, characteristic, complemented
12#77849C211yesmaximal, characteristic, complemented
13#77788C211yesmaximal, characteristic, complemented
14#76231C211yesmaximal, characteristic, complemented
15#76069C211yesmaximal, characteristic, complemented
16#75316C211yesmaximal, characteristic, complemented
17#75308C211yesmaximal, characteristic, complemented
18#75151C211yesmaximal, characteristic, complemented
19#74989C211yesmaximal, characteristic, complemented
20#74599C211yesmaximal, characteristic
21#74595C211yesmaximal, characteristic, complemented
22#74595C211yesmaximal, characteristic, complemented
23D3×#385C211yesmaximal, characteristic, complemented
24#74453C211yesmaximal, characteristic, complemented
25#74443C211yesmaximal, characteristic, complemented
26#74413C211yesmaximal, characteristic, complemented
27#74413C211yesmaximal, characteristic, complemented
28#73909C211yesmaximal, characteristic, complemented
29#73862C211yesmaximal, characteristic, complemented
30C22⋊C4×D12C211yesmaximal, characteristic
31#73466C211yesmaximal, characteristic, complemented
32#59012—31nomaximal, Sylow
33C23×D12C2211yescharacteristic
34C23×C4×D3C2211yescharacteristic
35C2×C3×#125C2211yescharacteristic, complemented
36C22×C3×C4⋊C4C2211yescharacteristic
37C22×(C2×D3)⋊C4C2211yescharacteristic
38C22×(C2×D3)⋊C4C2211yescharacteristic
39C22×(C2×D3)⋊C4C2211yescharacteristic
40C22×Dic3⋊C4C2211yescharacteristic
41#5694—28no—
42C2×#898C2211yescharacteristic, complemented
43C2×#898C2211yescharacteristic, complemented
44C2×#897C2211yescharacteristic, complemented
45C2×#897C2211yescharacteristic, complemented
46C2×#894—28no—
47C2×#894C2211yescharacteristic
48C2×#894C2211yescharacteristic
49C2×#894C2211yescharacteristic
50C2×#894C2211yescharacteristic
51C2×#894C2211yescharacteristic
52C2×#894C2211yescharacteristic
53C2×#894C2211yescharacteristic
54C2×#894C2211yescharacteristic
55C2×#894C2211yescharacteristic
56C2×#894C2211yescharacteristic
57C2×#892C2211yescharacteristic, complemented
58C2×#892C2211yescharacteristic, complemented
59C2×#892C2211yescharacteristic, complemented
60C2×#892C2211yescharacteristic, complemented
61C2×D3×C4⋊C4C2211yescharacteristic, complemented
62C2×D3×C4⋊C4C2211yescharacteristic, complemented
63C2×#890C2211yescharacteristic, complemented
64C2×#890C2211yescharacteristic, complemented
65C2×D3×C22⋊C4C2211yescharacteristic
66C2×D3×C22⋊C4C2211yescharacteristic
67C2×D3×C22⋊C4C2211yescharacteristic
68C2×#878C2211yescharacteristic
69C2×C4×D12C2211yescharacteristic
70C2×C4×D12C2211yescharacteristic
71C2×C4×Dic6C2211yescharacteristic, complemented
72C3×#400C2211yescharacteristic, complemented
73C3×#398C2211yescharacteristic, complemented
74C3×#398C2211yescharacteristic, complemented
75C3×#398C2211yescharacteristic, complemented
76C3×#389C2211yescharacteristic, complemented
77C3×#387C2211yescharacteristic, complemented
78C3×#387C2211yescharacteristic, complemented
79C3×#385C2211yescharacteristic
80C3×#385C2211yescharacteristic
81C3×#385C2211yescharacteristic
82C3×#385C2211yescharacteristic
83C3×#380C2211yescharacteristic
84C3×C4×C22⋊C4C2211yescharacteristic
85#5212C2211yescharacteristic
86#5212C2211yescharacteristic
87#5212C2211yescharacteristic
88#5210C2211yescharacteristic
89#5210C2211yescharacteristic
90C4×#217C2211yescharacteristic
91#4994C2211yescharacteristic, complemented
92#4994C2211yescharacteristic, complemented
93#4994C2211yescharacteristic, complemented
94#4994C2211yescharacteristic, complemented
95#4994C2211yescharacteristic, complemented
96#4994C2211yescharacteristic, complemented
97#4992C2211yescharacteristic, complemented
98#4992C2211yescharacteristic, complemented
99#4991C2211yescharacteristic
100#4991C2211yescharacteristic
101#4990C2211yescharacteristic, complemented
102#4990C2211yescharacteristic, complemented
103#4990C2211yescharacteristic, complemented
104#4990C2211yescharacteristic, complemented
105#4990C2211yescharacteristic, complemented
106#4990C2211yescharacteristic, complemented
107#4989C2211yescharacteristic, complemented
108#4989C2211yescharacteristic, complemented
109#4987C2211yescharacteristic, complemented
110#4987C2211yescharacteristic, complemented
111#4987C2211yescharacteristic, complemented
112#4987C2211yescharacteristic, complemented
113#4987C2211yescharacteristic, complemented
114#4987C2211yescharacteristic, complemented
115#4986C2211yescharacteristic, complemented
116#4986C2211yescharacteristic, complemented
117#4984C2211yescharacteristic, complemented
118#4982C2211yescharacteristic, complemented
119#4982C2211yescharacteristic, complemented
120#4982C2211yescharacteristic, complemented
121#4982C2211yescharacteristic, complemented
122#4977C2211yescharacteristic, complemented
123#4972C2211yescharacteristic, complemented
124#4972C2211yescharacteristic, complemented
125#4955C2211yescharacteristic
126#4955C2211yescharacteristic
127#4955C2211yescharacteristic
128#4955C2211yescharacteristic
129#4955C2211yescharacteristic
130#4950C2211yescharacteristic
131#4950C2211yescharacteristic
132#4950C2211yescharacteristic
133#4946C2211yescharacteristic
134Dic3×C22⋊C4C2211yescharacteristic
135Dic3×C22⋊C4C2211yescharacteristic
136Dic3×C22⋊C4C2211yescharacteristic
137#4939C2211yescharacteristic
138#4939C2211yescharacteristic
139#4933C2211yescharacteristic, complemented
140C4×Dic3⋊C4C2211yescharacteristic, complemented
141#4928C2211yescharacteristic, complemented
142#4677C2211yescharacteristic, complemented
143#4677C2211yescharacteristic, complemented
144#4675C2211yescharacteristic, complemented
145#4675C2211yescharacteristic, complemented
146#4674C2211yescharacteristic, complemented
147#4674C2211yescharacteristic, complemented
148#4673C2211yescharacteristic, complemented
149#4673C2211yescharacteristic, complemented
150#4672C2211yescharacteristic
151#4672C2211yescharacteristic
152#4670C2211yescharacteristic, complemented
153#4670C2211yescharacteristic, complemented
154#4670C2211yescharacteristic, complemented
155#4670C2211yescharacteristic, complemented
156#4670C2211yescharacteristic, complemented
157#4670C2211yescharacteristic, complemented
158#4669C2211yescharacteristic, complemented
159#4669C2211yescharacteristic, complemented
160#4668C2211yescharacteristic, complemented
161#4668C2211yescharacteristic, complemented
162#4668C2211yescharacteristic, complemented
163#4668C2211yescharacteristic, complemented
164#4668C2211yescharacteristic, complemented
165#4668C2211yescharacteristic, complemented
166#4666C2211yescharacteristic, complemented
167#4666C2211yescharacteristic, complemented
168#4666C2211yescharacteristic, complemented
169#4666C2211yescharacteristic, complemented
170#4665C2211yescharacteristic
171#4665C2211yescharacteristic
172#4665C2211yescharacteristic
173#4665C2211yescharacteristic
174#4665C2211yescharacteristic
175#4665C2211yescharacteristic
176#4664C2211yescharacteristic, complemented
177#4664C2211yescharacteristic, complemented
178#4664C2211yescharacteristic, complemented
179#4664C2211yescharacteristic, complemented
180D3×#95C2211yescharacteristic, complemented
181D3×#95C2211yescharacteristic, complemented
182#4661C2211yescharacteristic, complemented
183#4660C2211yescharacteristic, complemented
184#4655C2211yescharacteristic, complemented
185#4654C2211yescharacteristic, complemented
186#4654C2211yescharacteristic, complemented
187#4647C2211yescharacteristic, complemented
188#4647C2211yescharacteristic, complemented
189#4646C2211yescharacteristic, complemented
190C2×#552—31no—
191C22×#123—31no—
192#2707—31no—
193#2695—31no—
194#2694—31no—
195#2687—31no—
196#2558—31no—
197#2553—31no—
198#2498—31no—
199#2488—31no—
200#2486—31no—
201#2480—31no—
202#2480—31no—
203#2473—31no—
204#2473D311yescharacteristic, complemented
205#2470—31no—
206#2458—31no—
207#2442—31no—
208#2437—31no—
209#2437—31no—
210#2419—31no—
211#2413—31no—
212#2413—31no—
213#2405—31no—
214#2360—31no—
215#2359—31no—
216#2342—31no—
217#2342—31no—
218D4×C22⋊C4—31no—
219C2×#385—31no—
220#2280—31no—
221C24×D3C2311yescharacteristic
222C24×D3C2311yescharacteristic
223C23×C3×C4C2311yescharacteristic
224C23×C3×C4C2311yescharacteristic
225C23×C3×C4C2311yescharacteristic
226C23×Dic3C2311yescharacteristic
227C23×Dic3C2311yescharacteristic
228C22×D12—24no—
229C22×D12—24no—
230C22×D12—42no—
231C22×D12C2311yescharacteristic
232C22×D12C2311yescharacteristic
233C22×D12C2311yescharacteristic
234C22×D12C2311yescharacteristic
235C22×C4×D3—24no—
236C22×C4×D3—24no—
237C22×C4×D3—42no—
238C22×C4×D3C2311yescharacteristic
239C22×C4×D3C2311yescharacteristic
240C22×C4×D3C2311yescharacteristic
241C22×C4×D3C2311yescharacteristic
242C22×C4×D3C2311yescharacteristic
243C22×C4×D3C2311yescharacteristic
244C22×C4×D3C2311yescharacteristic
245C22×C4×D3C2311yescharacteristic
246C22×C4×D3C2311yescharacteristic
247C22×C4×D3C2311yescharacteristic
248C22×Dic6C2311yescharacteristic
249C3×#125—24no—
250C2×C3×C4⋊C4—24no—
251C2×C3×C4⋊C4C2311yescharacteristic
252C2×C3×C4⋊C4C2311yescharacteristic
253C2×C3×C4⋊C4C2311yescharacteristic
254C2×C3×C4⋊C4C2311yescharacteristic
255C2×C3×C4⋊C4C2311yescharacteristic
256C2×C3×C4⋊C4C2311yescharacteristic
257C2×C3×C4⋊C4C2311yescharacteristic
258C2×C3×C4⋊C4C2311yescharacteristic
259C2×C3×C4⋊C4C2311yescharacteristic
260C2×C3×C4⋊C4C2311yescharacteristic
261C2×C3×C4⋊C4C2311yescharacteristic
262C2×C3×C4⋊C4C2311yescharacteristic
263C2×C3×C4⋊C4C2311yescharacteristic
264C2×C3×C4⋊C4C2311yescharacteristic
265C2×C3×C22⋊C4C2311yescharacteristic
266C2×C3×C22⋊C4C2311yescharacteristic
267C2×C3×C22⋊C4C2311yescharacteristic
268C2×C3×C22⋊C4C2311yescharacteristic
269C2×C3×C42C2311yescharacteristic
270C2×C3×C42C2311yescharacteristic
271C2×#217C2311yescharacteristic
272C2×#217C2311yescharacteristic
273C2×#217C2311yescharacteristic
274C2×#217C2311yescharacteristic
275C2×(C2×D3)⋊C4—24no—
276C2×(C2×D3)⋊C4—24no—
277C2×(C2×D3)⋊C4—24no—
278C2×(C2×D3)⋊C4C2311yescharacteristic
279C2×(C2×D3)⋊C4C2311yescharacteristic
280C2×(C2×D3)⋊C4C2311yescharacteristic
281C2×(C2×D3)⋊C4C2311yescharacteristic
282C2×(C2×D3)⋊C4C2311yescharacteristic
283C2×(C2×D3)⋊C4C2311yescharacteristic
284C2×(C2×D3)⋊C4C2311yescharacteristic
285C2×(C2×D3)⋊C4C2311yescharacteristic
286C2×(C2×D3)⋊C4C2311yescharacteristic
287C2×(C2×D3)⋊C4C2311yescharacteristic
288C2×(C2×D3)⋊C4C2311yescharacteristic
289C2×(C2×D3)⋊C4C2311yescharacteristic
290C2×(C2×D3)⋊C4C2311yescharacteristic
291C2×(C2×D3)⋊C4C2311yescharacteristic
292C2×(C2×D3)⋊C4C2311yescharacteristic
293C2×(C2×D3)⋊C4C2311yescharacteristic
294C2×(C2×D3)⋊C4C2311yescharacteristic
295C2×(C2×D3)⋊C4C2311yescharacteristic
296C2×(C2×D3)⋊C4C2311yescharacteristic
297C2×(C2×D3)⋊C4C2311yescharacteristic
298C2×(C2×D3)⋊C4C2311yescharacteristic
299C2×(C2×D3)⋊C4C2311yescharacteristic
300C2×(C2×D3)⋊C4C2311yescharacteristic
301C2×(C2×D3)⋊C4C2311yescharacteristic
302C2×(C2×D3)⋊C4C2311yescharacteristic
303C2×(C2×D3)⋊C4C2311yescharacteristic
304C2×(C2×D3)⋊C4C2311yescharacteristic
305C2×(C2×D3)⋊C4C2311yescharacteristic
306C2×(C2×D3)⋊C4C2311yescharacteristic
307C2×(C2×D3)⋊C4C2311yescharacteristic
308C2×(C2×D3)⋊C4C2311yescharacteristic
309C2×(C2×D3)⋊C4C2311yescharacteristic
310C2×(C2×D3)⋊C4C2311yescharacteristic
311C2×(C2×D3)⋊C4C2311yescharacteristic
312C2×(C2×D3)⋊C4C2311yescharacteristic
313C2×(C2×D3)⋊C4C2311yescharacteristic
314C2×(C2×D3)⋊C4C2311yescharacteristic
315C2×(C2×D3)⋊C4C2311yescharacteristic
316C2×C4⋊Dic3C2311yescharacteristic
317C2×C4⋊Dic3C2311yescharacteristic
318C2×C4⋊Dic3C2311yescharacteristic
319C2×C4⋊Dic3C2311yescharacteristic
320C2×C4⋊Dic3C2311yescharacteristic
321C2×C4⋊Dic3C2311yescharacteristic
322C2×C4⋊Dic3C2311yescharacteristic
323C2×C4⋊Dic3C2311yescharacteristic
324C2×C4⋊Dic3C2311yescharacteristic
325C2×C4⋊Dic3C2311yescharacteristic
326C2×C4⋊Dic3C2311yescharacteristic
327C2×C4⋊Dic3C2311yescharacteristic
328C2×C4⋊Dic3C2311yescharacteristic
329C2×Dic3⋊C4—24no—
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×C4×Dic3C2311yescharacteristic
343C2×C4×Dic3C2311yescharacteristic
344C2×C4×Dic3C2311yescharacteristic
345C2×C4×Dic3C2311yescharacteristic
346C2×C4×Dic3C2311yescharacteristic
347C2×C4×Dic3C2311yescharacteristic
348C2×C4×Dic3C2311yescharacteristic
349C2×C4×Dic3C2311yescharacteristic
350#898—24no—
351#898—24no—
352#897—24no—
353#897—24no—
354#894—24no—
355#894—24no—
356#894—24no—
357#894—24no—
358#894—24no—
359#894—24no—
360#894—24no—
361#894—24no—
362#894—42no—
363#894D418yes—
364#892—24no—
365#892—24no—
366#892—24no—
367#892—42no—
368D3×C4⋊C4—24no—
369D3×C4⋊C4—42no—
370#890—24no—
371#890—24no—
372D3×C22⋊C4—24no—
373D3×C22⋊C4—24no—
374D3×C22⋊C4—24no—
375#878—24no—
376C4×D12—24no—
377C4×D12—42no—
378C4×Dic6—24no—
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
414C3⋊#95C2311yescharacteristic
415C3⋊#95C2311yescharacteristic
416C3⋊#95C2311yescharacteristic
417C23×D4—31no—
418C24×C4—31no—
419#552—68no—
420C2×#126—31no—
421C2×#126—31no—
422C2×#125—31no—
423C2×#125—31no—
424C2×#125C2×D311yescharacteristic, complemented
425C2×#123—31no—
426C2×#123—31no—
427C2×#123—31no—
428C2×#123—31no—
429C2×#123—31no—
430C2×#123—31no—
431C2×#123—31no—
432C2×#123—31no—
433C2×#123—31no—
434C2×#123—31no—
435C2×#123—68no—
436C2×C22⋊Q8—31no—
437C2×C22⋊Q8—31no—
438C2×C22⋊Q8—31no—
439C2×C4×Q8—31no—
440C2×C4×D4—31no—
441C2×C4×D4—31no—
442C2×#117—31no—
443C2×#117—31no—
444C2×#117—31no—
445C2×#117—31no—
446C22×C4⋊C4—31no—
447C22×C4⋊C4—31no—
448C22×C4⋊C4—31no—
449C22×C4⋊C4C2×D311yescharacteristic
450C22×C22⋊C4—31no—
451C22×C22⋊C4—31no—
452C22×C22⋊C4—31no—
453C22×C22⋊C4—31no—
454C22×C22⋊C4—31no—
455C22×C22⋊C4—31no—
456#400—31no—
457#400—31no—
458#400—31no—
459#400C2×D311yescharacteristic, complemented
460#399—31no—
461#399—31no—
462#398—31no—
463#398—31no—
464#398—31no—
465#398—31no—
466#398—31no—
467#398C2×D311yescharacteristic, complemented
468#398C2×D311yescharacteristic, complemented
469#398C2×D311yescharacteristic, complemented
470#397—31no—
471#397—31no—
472#397—31no—
473#397—31no—
474#397—31no—
475#397—31no—
476#396—31no—
477#396—31no—
478#396—31no—
479#396—31no—
480#396—31no—
481#396—31no—
482#394—31no—
483#394—31no—
484#394—31no—
485#394—31no—
486#393—31no—
487#393—31no—
488#391—31no—
489#390—31no—
490#390—31no—
491#389—31no—
492#389—31no—
493#389—31no—
494#389—31no—
495#389—31no—
496#389—31no—
497#389C2×D311yescharacteristic, complemented
498#388—31no—
499#388—31no—
500#388—31no—
501#388—31no—
502#388—31no—
503#388—31no—
504#388—31no—
505#388—31no—
506#388—31no—
507#388—31no—
508#388—31no—
509#388—31no—
510#388—31no—
511#388—31no—
512#387—31no—
513#387—31no—
514#387—31no—
515#387—31no—
516#387C2×D311yescharacteristic, complemented
517#387C2×D311yescharacteristic, complemented
518#386—31no—
519#386—31no—
520#386—31no—
521#386—31no—
522#386—31no—
523#386—31no—
524#385—31no—
525#385—31no—
526#385—31no—
527#385—31no—
528#385—31no—
529#385—31no—
530#385—31no—
531#385—31no—
532#385—31no—
533#385—31no—
534#385—31no—
535#385—31no—
536#385—31no—
537#385—31no—
538#385C2×D311yescharacteristic
539#385C2×D311yescharacteristic
540#385C2×D311yescharacteristic
541#385C2×D311yescharacteristic
542#382—31no—
543#381—31no—
544#381—31no—
545#381—31no—
546#381—31no—
547#380—31no—
548#380—31no—
549#380—31no—
550#380—31no—
551#380—31no—
552#380—31no—
553#380—31no—
554#380—31no—
555#380—31no—
556#380C2×D311yescharacteristic
557#379—31no—
558#379—31no—
559#379—31no—
560#379—31no—
561#379—31no—
562C4×C4⋊C4—31no—
563C4×C22⋊C4—31no—
564C4×C22⋊C4—31no—
565C4×C22⋊C4—31no—
566C4×C22⋊C4—31no—
567C4×C22⋊C4—31no—
568C4×C22⋊C4—31no—
569C4×C22⋊C4—31no—
570C4×C22⋊C4—31no—
571C4×C22⋊C4C2×D311yescharacteristic
572C2×#95—31no—
573C2×#95—31no—
574C24×C3C2411yescharacteristic
575C23×D3—22no—
576C23×D3—22no—
577C23×D3—22no—
578C23×D3—22no—
579C23×D3—22no—
580C23×D3—22no—
581C23×D3—22no—
582C23×D3—22no—
583C23×D3—41no—
584C23×D3—41no—
585C23×D3—41no—
586C23×D3—41no—
587C23×D3—41no—
588C23×D3#4114yes—
589C23×D3C2411yescharacteristic
590C23×D3C2411yescharacteristic
591C23×D3C2411yescharacteristic
592C23×D3C2411yescharacteristic
593C22×C3×C4—22no—
594C22×C3×C4—22no—
595C22×C3×C4—22no—
596C22×C3×C4—22no—
597C22×C3×C4—22no—
598C22×C3×C4—22no—
599C22×C3×C4—41no—
600C22×C3×C4—41no—
601C22×C3×C4—41no—
602C22×C3×C4C2411yescharacteristic
603C22×C3×C4C2411yescharacteristic
604C22×C3×C4C2411yescharacteristic
605C22×C3×C4C2411yescharacteristic
606C22×C3×C4C2411yescharacteristic
607C22×C3×C4C2411yescharacteristic
608C22×C3×C4C2411yescharacteristic
609C22×C3×C4C2411yescharacteristic
610C22×C3×C4C2411yescharacteristic
611C22×C3×C4C2411yescharacteristic
612C22×C3×C4C2411yescharacteristic
613C22×C3×C4C2411yescharacteristic
614C22×C3×C4C2411yescharacteristic
615C22×C3×C4C2411yescharacteristic
616C22×Dic3—22no—
617C22×Dic3—22no—
618C22×Dic3—22no—
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
633C22×Dic3C2411yescharacteristic
634C2×D12—22no—
635C2×D12—22no—
636C2×D12—22no—
637C2×D12—22no—
638C2×D12—22no—
639C2×D12—22no—
640C2×D12—22no—
641C2×D12—22no—
642C2×D12—22no—
643C2×D12—416no—
644C2×D12—41no—
645C2×D12—41no—
646C2×D12C2×D414yes—
647C2×C4×D3—22no—
648C2×C4×D3—22no—
649C2×C4×D3—22no—
650C2×C4×D3—22no—
651C2×C4×D3—22no—
652C2×C4×D3—22no—
653C2×C4×D3—22no—
654C2×C4×D3—22no—
655C2×C4×D3—22no—
656C2×C4×D3—22no—
657C2×C4×D3—22no—
658C2×C4×D3—22no—
659C2×C4×D3—22no—
660C2×C4×D3—22no—
661C2×C4×D3—22no—
662C2×C4×D3—22no—
663C2×C4×D3—22no—
664C2×C4×D3—22no—
665C2×C4×D3—22no—
666C2×C4×D3—22no—
667C2×C4×D3—416no—
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×D3C2×D414yes—
678C2×Dic6—22no—
679C2×Dic6—22no—
680C2×Dic6—41no—
681C3×C4⋊C4—22no—
682C3×C4⋊C4—22no—
683C3×C4⋊C4—22no—
684C3×C4⋊C4—22no—
685C3×C4⋊C4—22no—
686C3×C4⋊C4—22no—
687C3×C4⋊C4—22no—
688C3×C4⋊C4—22no—
689C3×C4⋊C4—41no—
690C3×C4⋊C4—41no—
691C3×C4⋊C4—41no—
692C3×C4⋊C4—41no—
693C3×C4⋊C4—41no—
694C3×C4⋊C4C2×D414yes—
695C3×C22⋊C4—22no—
696C3×C22⋊C4—22no—
697C3×C22⋊C4—22no—
698C3×C22⋊C4#4114yes—
699C3×C42—22no—
700C3×C42—41no—
701#217—22no—
702#217—22no—
703#217—22no—
704#217—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—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)⋊C4C2×D414yes—
741(C2×D3)⋊C4C2×D414yes—
742(C2×D3)⋊C4C2×D414yes—
743C4⋊Dic3—22no—
744C4⋊Dic3—22no—
745C4⋊Dic3—22no—
746C4⋊Dic3—22no—
747C4⋊Dic3—22no—
748C4⋊Dic3—22no—
749C4⋊Dic3—22no—
750C4⋊Dic3—41no—
751C4⋊Dic3—41no—
752C4⋊Dic3—41no—
753C4⋊Dic3—41no—
754C4⋊Dic3—41no—
755C4⋊Dic3—41no—
756Dic3⋊C4—22no—
757Dic3⋊C4—22no—
758Dic3⋊C4—22no—
759Dic3⋊C4—22no—
760Dic3⋊C4—22no—
761Dic3⋊C4—22no—
762Dic3⋊C4—22no—
763Dic3⋊C4—22no—
764Dic3⋊C4—41no—
765Dic3⋊C4—41no—
766Dic3⋊C4—41no—
767Dic3⋊C4C2×D414yes—
768C4×Dic3—22no—
769C4×Dic3—22no—
770C4×Dic3—22no—
771C4×Dic3—22no—
772C4×Dic3—41no—
773C4×Dic3—41no—
774C4×Dic3—41no—
775C4×Dic3—41no—
776C25—31no—
777C25—31no—
778C22×Q8—31no—
779C22×D4—31no—
780C22×D4—31no—
781C22×D4—31no—
782C22×D4—31no—
783C22×D4—64no—
784C22×D4—64no—
785C22×D4—122no—
786C23×C4—31no—
787C23×C4—31no—
788C23×C4—31no—
789C23×C4—31no—
790C23×C4—31no—
791C23×C4—31no—
792C23×C4—31no—
793C23×C4—31no—
794C23×C4—31no—
795C23×C4—31no—
796C23×C4—31no—
797C23×C4—31no—
798C23×C4—64no—
799C23×C4—64no—
800C23×C4—122no—
801C23×C4C22×D311yescharacteristic
802C23×C4C22×D311yescharacteristic
803C23×C4C22×D311yescharacteristic
804#126—64no—
805#126—64no—
806#125—24no—
807#125—64no—
808#125—64no—
809#123—38no—
810#123—64no—
811#123—64no—
812#123—64no—
813#123—64no—
814#123—64no—
815#123—64no—
816#123—64no—
817#123—64no—
818#123—122no—
819C22⋊Q8—64no—
820C22⋊Q8—64no—
821C22⋊Q8—64no—
822C4×Q8—64no—
823C4×D4—64no—
824C4×D4—122no—
825#117—64no—
826#117—64no—
827#117—64no—
828#117—122no—
829C2×C4⋊C4—24no—
830C2×C4⋊C4—31no—
831C2×C4⋊C4—31no—
832C2×C4⋊C4—31no—
833C2×C4⋊C4—31no—
834C2×C4⋊C4—31no—
835C2×C4⋊C4—31no—
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—64no—
856C2×C4⋊C4—64no—
857C2×C4⋊C4—122no—
858C2×C4⋊C4C22×D311yescharacteristic
859C2×C4⋊C4C22×D311yescharacteristic
860C2×C4⋊C4C22×D311yescharacteristic
861C2×C4⋊C4C22×D311yescharacteristic
862C2×C4⋊C4C22×D311yescharacteristic
863C2×C4⋊C4C22×D311yescharacteristic
864C2×C4⋊C4C22×D311yescharacteristic
865C2×C4⋊C4C22×D311yescharacteristic
866C2×C4⋊C4C22×D311yescharacteristic
867C2×C4⋊C4C22×D311yescharacteristic
868C2×C4⋊C4C22×D311yescharacteristic
869C2×C4⋊C4C22×D311yescharacteristic
870C2×C4⋊C4C22×D311yescharacteristic
871C2×C4⋊C4C22×D311yescharacteristic
872C2×C22⋊C4—31no—
873C2×C22⋊C4—31no—
874C2×C22⋊C4—31no—
875C2×C22⋊C4—31no—
876C2×C22⋊C4—31no—
877C2×C22⋊C4—31no—
878C2×C22⋊C4—31no—
879C2×C22⋊C4—31no—
880C2×C22⋊C4—31no—
881C2×C22⋊C4—31no—
882C2×C22⋊C4—31no—
883C2×C22⋊C4—31no—
884C2×C22⋊C4—31no—
885C2×C22⋊C4—31no—
886C2×C22⋊C4—31no—
887C2×C22⋊C4—31no—
888C2×C22⋊C4—31no—
889C2×C22⋊C4—31no—
890C2×C22⋊C4—31no—
891C2×C22⋊C4—31no—
892C2×C22⋊C4—31no—
893C2×C22⋊C4—31no—
894C2×C22⋊C4—31no—
895C2×C22⋊C4—31no—
896C2×C22⋊C4—31no—
897C2×C22⋊C4—31no—
898C2×C22⋊C4—31no—
899C2×C22⋊C4—31no—
900C2×C22⋊C4—31no—
901C2×C22⋊C4—31no—
902C2×C22⋊C4—31no—
903C2×C22⋊C4—31no—
904C2×C22⋊C4—31no—
905C2×C22⋊C4—31no—
906C2×C22⋊C4—31no—
907C2×C22⋊C4—31no—
908C2×C22⋊C4—31no—
909C2×C22⋊C4—31no—
910C2×C22⋊C4—31no—
911C2×C22⋊C4—31no—
912C2×C22⋊C4—31no—
913C2×C22⋊C4—31no—
914C2×C22⋊C4—64no—
915C2×C22⋊C4—64no—
916C2×C22⋊C4—64no—
917C2×C22⋊C4—64no—
918C2×C22⋊C4—64no—
919C2×C22⋊C4—64no—
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×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#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
970#95C22×D311yescharacteristic
971#95C22×D311yescharacteristic
972C23×C3—21no—
973C23×C3—21no—
974C23×C3—21no—
975C23×C3—21no—
976C23×C3C2×#4112yes—
977C23×C3C2×#4112yes—
978C23×C32−1+412yes—
979C23×C3C2511yescharacteristic
980C22×D3—21no—
981C22×D3—21no—
982C22×D3—21no—
983C22×D3—21no—
984C22×D3—28no—
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—28no—
998C22×D3—21no—
999C22×D3—21no—
1000C22×D3—21no—
1001C22×D3—21no—
1002C22×D3—21no—
1003C22×D3—21no—
1004C22×D3—21no—
1005C22×D3—44no—
1006C22×D3—44no—
1007C22×D3—44no—
1008C22×D3—44no—
1009C22×D3—44no—
1010C22×D3—44no—
1011C22×D3—44no—
1012C22×D3—44no—
1013C22×D3—44no—
1014C22×D3—82no—
1015C22×D3—82no—
1016C22×D3—82no—
1017C22×D3C22×D412yes—
1018C22×D3C22×D412yes—
1019C22×D3C2×#4112yes—
1020C22×D3C2×#4112yes—
1021C22×D3H(5,𝔽2)12yes—
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—21no—
1059C2×C3×C4—44no—
1060C2×C3×C4—44no—
1061C2×C3×C4—44no—
1062C2×C3×C4C22×D412yes—
1063C2×C3×C4C22×D412yes—
1064C2×C3×C4C22×D412yes—
1065C2×C3×C4C2×#4112yes—
1066C2×C3×C4C2×#4112yes—
1067C2×Dic3—21no—
1068C2×Dic3—21no—
1069C2×Dic3—21no—
1070C2×Dic3—21no—
1071C2×Dic3—21no—
1072C2×Dic3—21no—
1073C2×Dic3—21no—
1074C2×Dic3—21no—
1075C2×Dic3—21no—
1076C2×Dic3—21no—
1077C2×Dic3—21no—
1078C2×Dic3—21no—
1079C2×Dic3—21no—
1080C2×Dic3—21no—
1081C2×Dic3—21no—
1082C2×Dic3—21no—
1083C2×Dic3—21no—
1084C2×Dic3—21no—
1085C2×Dic3—21no—
1086C2×Dic3—21no—
1087C2×Dic3—21no—
1088C2×Dic3—21no—
1089C2×Dic3—21no—
1090C2×Dic3—21no—
1091C2×Dic3—21no—
1092C2×Dic3—21no—
1093C2×Dic3—21no—
1094C2×Dic3—21no—
1095C2×Dic3—21no—
1096C2×Dic3—21no—
1097C2×Dic3—21no—
1098C2×Dic3—21no—
1099C2×Dic3—21no—
1100C2×Dic3—21no—
1101C2×Dic3—44no—
1102C2×Dic3—44no—
1103C2×Dic3C22×D412yes—
1104C2×Dic3C22×D412yes—
1105D12—28no—
1106D12—44no—
1107D12—44no—
1108D12—44no—
1109C4×D3—28no—
1110C4×D3—44no—
1111C4×D3—44no—
1112C4×D3—44no—
1113C4×D3—44no—
1114C4×D3—44no—
1115C4×D3—44no—
1116C4×D3—44no—
1117C4×D3—82no—
1118C4×D3—82no—
1119Dic6—44no—
1120C24—31no—
1121C24—31no—
1122C24—31no—
1123C24—34no—
1124C24—31no—
1125C24—62no—
1126C24—62no—
1127C24—62no—
1128C24—62no—
1129C24—62no—
1130C24—62no—
1131C24—62no—
1132C24—62no—
1133C24—121no—
1134C24—121no—
1135C24—121no—
1136C24—121no—
1137C24—121no—
1138C24C23×D311yescharacteristic
1139C2×Q8—62no—
1140C2×Q8—62no—
1141C2×Q8—121no—
1142C2×D4—34no—
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—1216no—
1155C22×C4—22no—
1156C22×C4—22no—
1157C22×C4—22no—
1158C22×C4—22no—
1159C22×C4—22no—
1160C22×C4—22no—
1161C22×C4—31no—
1162C22×C4—31no—
1163C22×C4—34no—
1164C22×C4—31no—
1165C22×C4—31no—
1166C22×C4—31no—
1167C22×C4—31no—
1168C22×C4—31no—
1169C22×C4—31no—
1170C22×C4—31no—
1171C22×C4—31no—
1172C22×C4—31no—
1173C22×C4—31no—
1174C22×C4—41no—
1175C22×C4—41no—
1176C22×C4—41no—
1177C22×C4—62no—
1178C22×C4—62no—
1179C22×C4—62no—
1180C22×C4—62no—
1181C22×C4—62no—
1182C22×C4—62no—
1183C22×C4—62no—
1184C22×C4—62no—
1185C22×C4—62no—
1186C22×C4—62no—
1187C22×C4—62no—
1188C22×C4—62no—
1189C22×C4—62no—
1190C22×C4—62no—
1191C22×C4—62no—
1192C22×C4—62no—
1193C22×C4—62no—
1194C22×C4—62no—
1195C22×C4—62no—
1196C22×C4—62no—
1197C22×C4—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—1216no—
1211C22×C4—121no—
1212C22×C4—121no—
1213C22×C4C23×D311yescharacteristic
1214C22×C4C23×D311yescharacteristic
1215C22×C4C23×D311yescharacteristic
1216C22×C4C23×D311yescharacteristic
1217C22×C4C23×D311yescharacteristic
1218C22×C4C23×D311yescharacteristic
1219C22×C4C23×D311yescharacteristic
1220C22×C4C23×D311yescharacteristic
1221C22×C4C23×D311yescharacteristic
1222C22×C4C23×D311yescharacteristic
1223C22×C4C23×D311yescharacteristic
1224C22×C4C23×D311yescharacteristic
1225C22×C4C23×D311yescharacteristic
1226C22×C4C23×D311yescharacteristic
1227C4⋊C4—22no—
1228C4⋊C4—22no—
1229C4⋊C4—22no—
1230C4⋊C4—22no—
1231C4⋊C4—22no—
1232C4⋊C4—22no—
1233C4⋊C4—22no—
1234C4⋊C4—22no—
1235C4⋊C4—34no—
1236C4⋊C4—41no—
1237C4⋊C4—41no—
1238C4⋊C4—41no—
1239C4⋊C4—41no—
1240C4⋊C4—41no—
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—
1262C4⋊C4—121no—
1263C4⋊C4—121no—
1264C4⋊C4—121no—
1265C4⋊C4D3×D414yes—
1266C22⋊C4—22no—
1267C22⋊C4—22no—
1268C22⋊C4—22no—
1269C22⋊C4—34no—
1270C22⋊C4—34no—
1271C22⋊C4—34no—
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—62no—
1296C22⋊C4—62no—
1297C22⋊C4—62no—
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#23914yes—
1312C42—22no—
1313C42—41no—
1314C42—62no—
1315C42—62no—
1316C42—62no—
1317C42—62no—
1318C42—121no—
1319C42—121no—
1320C42—121no—
1321C42—121no—
1322C22×C3—22no—
1323C22×C3—22no—
1324C22×C3—22no—
1325C22×C3—22no—
1326C22×C3—22no—
1327C22×C3—22no—
1328C22×C3#55214yescomplemented
1329C22×C3C23×D411yescharacteristic
1330C22×C3C22×#4111yescharacteristic
1331C22×C3C22×#4111yescharacteristic
1332C22×C3C2×H(5,𝔽2)11yescharacteristic
1333C22×C3C2×2−1+411yescharacteristic
1334C22×C3#58511yescharacteristic
1335C22×C3#58511yescharacteristic
1336C2×D3—22no—
1337C2×D3—22no—
1338C2×D3—22no—
1339C2×D3—22no—
1340C2×D3—22no—
1341C2×D3—22no—
1342C2×D3—22no—
1343C2×D3—22no—
1344C2×D3—22no—
1345C2×D3—22no—
1346C2×D3—22no—
1347C2×D3—22no—
1348C2×D3—416no—
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—88no—
1365C2×D3#54614yes—
1366C3×C4—22no—
1367C3×C4—22no—
1368C3×C4—22no—
1369C3×C4—22no—
1370C3×C4—22no—
1371C3×C4—41no—
1372C3×C4—41no—
1373C3×C4—41no—
1374C3×C4—41no—
1375C3×C4—41no—
1376C3×C4—41no—
1377C3×C4—41no—
1378C3×C4—41no—
1379C3×C4—41no—
1380Dic3—22no—
1381Dic3—22no—
1382Dic3—41no—
1383Dic3—41no—
1384Dic3—41no—
1385Dic3—41no—
1386Dic3—41no—
1387Dic3—41no—
1388Dic3—41no—
1389Dic3—41no—
1390Dic3—41no—
1391Dic3—41no—
1392C23—21no—
1393C23—21no—
1394C23—21no—
1395C23—21no—
1396C23—32no—
1397C23—32no—
1398C23—32no—
1399C23—32no—
1400C23—32no—
1401C23—68no—
1402C23—61no—
1403C23—61no—
1404C23—61no—
1405C23—61no—
1406C23—68no—
1407C23—61no—
1408C23—61no—
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—124no—
1427C23—124no—
1428C23—124no—
1429C23—124no—
1430C23—124no—
1431C23—124no—
1432C23—124no—
1433C23—124no—
1434C23—124no—
1435C23—242no—
1436C23—242no—
1437C23—242no—
1438C23C2×#23912yes—
1439C23D3×#4112yes—
1440C23#101012yes—
1441C23C24×D311yescharacteristic
1442Q8—124no—
1443D4—68no—
1444D4—124no—
1445D4—124no—
1446D4—124no—
1447C2×C4—21no—
1448C2×C4—21no—
1449C2×C4—21no—
1450C2×C4—21no—
1451C2×C4—21no—
1452C2×C4—21no—
1453C2×C4—21no—
1454C2×C4—21no—
1455C2×C4—21no—
1456C2×C4—21no—
1457C2×C4—21no—
1458C2×C4—21no—
1459C2×C4—21no—
1460C2×C4—21no—
1461C2×C4—21no—
1462C2×C4—21no—
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—32no—
1485C2×C4—32no—
1486C2×C4—44no—
1487C2×C4—44no—
1488C2×C4—44no—
1489C2×C4—68no—
1490C2×C4—61no—
1491C2×C4—61no—
1492C2×C4—61no—
1493C2×C4—61no—
1494C2×C4—61no—
1495C2×C4—61no—
1496C2×C4—61no—
1497C2×C4—61no—
1498C2×C4—61no—
1499C2×C4—61no—
1500C2×C4—61no—
1501C2×C4—61no—
1502C2×C4—61no—
1503C2×C4—61no—
1504C2×C4—61no—
1505C2×C4—61no—
1506C2×C4—61no—
1507C2×C4—61no—
1508C2×C4—61no—
1509C2×C4—61no—
1510C2×C4—61no—
1511C2×C4—61no—
1512C2×C4—61no—
1513C2×C4—61no—
1514C2×C4—61no—
1515C2×C4—61no—
1516C2×C4—61no—
1517C2×C4—61no—
1518C2×C4—61no—
1519C2×C4—61no—
1520C2×C4—61no—
1521C2×C4—61no—
1522C2×C4—61no—
1523C2×C4—61no—
1524C2×C4—124no—
1525C2×C4—124no—
1526C2×C4—124no—
1527C2×C4—124no—
1528C2×C4—124no—
1529C2×C4—124no—
1530C2×C4—124no—
1531C2×C4—124no—
1532C2×C4—124no—
1533C2×C4—242no—
1534C2×C4—242no—
1535C2×C4C2×D3×D412yes—
1536C2×C4C2×D3×D412yes—
1537C2×C4C2×D3×D412yes—
1538C2×C4C2×#23912yes—
1539C2×C4C2×#23912yes—
1540C2×C3—24no—
1541C2×C3C2×#54611yescharacteristic
1542C2×C3D4×#4111yescharacteristic
1543C2×C3C2×#55211yescharacteristic
1544C2×C3#348911yescharacteristic
1545C2×C3#349111yescharacteristic
1546C2×C3#351311yescharacteristic
1547C2×C3#353511yescharacteristic
1548D3—24no—
1549D3—42no—
1550D3—42no—
1551D3—81no—
1552C22—22no—
1553C22—22no—
1554C22—22no—
1555C22—22no—
1556C22—22no—
1557C22—22no—
1558C22—34no—
1559C22—62no—
1560C22—62no—
1561C22—62no—
1562C22—62no—
1563C22—62no—
1564C22—62no—
1565C22—62no—
1566C22—62no—
1567C22—62no—
1568C22—62no—
1569C22—62no—
1570C22—62no—
1571C22—1216no—
1572C22—121no—
1573C22—121no—
1574C22—121no—
1575C22—121no—
1576C22—121no—
1577C22—121no—
1578C22—121no—
1579C22—121no—
1580C22—121no—
1581C22—121no—
1582C22—121no—
1583C22—121no—
1584C22—121no—
1585C22—121no—
1586C22—121no—
1587C22—248no—
1588C22#569414yescomplemented
1589C22C22×D3×D411yescharacteristic
1590C22C22×#23911yescharacteristic
1591C22C2×D3×#4111yescharacteristic
1592C22C2×#101011yescharacteristic
1593C22#596411yescharacteristic
1594C22D3×H(5,𝔽2)11yescharacteristic
1595C22#596811yescharacteristic
1596C4—22no—
1597C4—22no—
1598C4—22no—
1599C4—22no—
1600C4—22no—
1601C4—41no—
1602C4—41no—
1603C4—41no—
1604C4—41no—
1605C4—41no—
1606C4—41no—
1607C4—41no—
1608C4—41no—
1609C4—41no—
1610C4—62no—
1611C4—62no—
1612C4—121no—
1613C4—121no—
1614C4—121no—
1615C4—121no—
1616C4—121no—
1617C4—121no—
1618C4—121no—
1619C4—121no—
1620C4—121no—
1621C4—121no—
1622C3#5901211yescharacteristic, complemented, Sylow
1623C2—24no—
1624C2—64no—
1625C2—122no—
1626C2—122no—
1627C2—241no—
1628C2#8604211yescharacteristic
1629C2C2×#569411yescharacteristic
1630C2#8646111yescharacteristic
1631C2D3×#54611yescharacteristic
1632C2D4×#23911yescharacteristic
1633C2#8685911yescharacteristic
1634C2#8692911yescharacteristic
subgroupG/H
center, FrattiniC23C24×D3
commutator, socle, cosocleC23×C3C25
FittingC3×#2473C2
prime radicalC23×D12C22
hypercenter#2473D3
hypocenterC3#59012
LCSG ▷ C23×C3 ▷ C3
UCSC1 ◁ C23 ◁ #2473

Complements

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

NH ≅ G/Ntype
1. C2×#5694C2semidirect
3. C3×#2473C2semidirect
4. #83047C2semidirect
5. #82172C2semidirect
6. #78346C2semidirect
7. #78140C2semidirect
8. #77972C2semidirect
9. #77955C2semidirect
10. #77946C2semidirect
11. #77946C2semidirect
12. #77849C2semidirect
13. #77788C2semidirect
14. #76231C2semidirect
15. #76069C2semidirect
16. #75316C2semidirect
17. #75308C2semidirect
18. #75151C2semidirect
19. #74989C2semidirect
21. #74595C2semidirect
22. #74595C2semidirect
23. D3×#385C2semidirect
24. #74453C2semidirect
25. #74443C2semidirect
26. #74413C2semidirect
27. #74413C2semidirect
28. #73909C2semidirect
29. #73862C2semidirect
31. #73466C2semidirect
35. C2×C3×#125C22semidirect
42. C2×#898C22semidirect
43. C2×#898C22semidirect
44. C2×#897C22semidirect
45. C2×#897C22semidirect
57. C2×#892C22semidirect
58. C2×#892C22semidirect
59. C2×#892C22semidirect
60. C2×#892C22semidirect
61. C2×D3×C4⋊C4C22semidirect
62. C2×D3×C4⋊C4C22semidirect
63. C2×#890C22semidirect
64. C2×#890C22semidirect
71. C2×C4×Dic6C22semidirect
72. C3×#400C22semidirect
73. C3×#398C22semidirect
74. C3×#398C22semidirect
75. C3×#398C22semidirect
76. C3×#389C22semidirect
77. C3×#387C22semidirect
78. C3×#387C22semidirect
91. #4994C22semidirect
92. #4994C22semidirect
93. #4994C22semidirect
94. #4994C22semidirect
95. #4994C22semidirect
96. #4994C22semidirect
97. #4992C22semidirect
98. #4992C22semidirect
101. #4990C22semidirect
102. #4990C22semidirect
103. #4990C22semidirect
104. #4990C22semidirect
105. #4990C22semidirect
106. #4990C22semidirect
107. #4989C22semidirect
108. #4989C22semidirect
109. #4987C22semidirect
110. #4987C22semidirect
111. #4987C22semidirect
112. #4987C22semidirect
113. #4987C22semidirect
114. #4987C22semidirect
115. #4986C22semidirect
116. #4986C22semidirect
117. #4984C22semidirect
118. #4982C22semidirect
119. #4982C22semidirect
120. #4982C22semidirect
121. #4982C22semidirect
122. #4977C22semidirect
123. #4972C22semidirect
124. #4972C22semidirect
139. #4933C22semidirect
140. C4×Dic3⋊C4C22semidirect
141. #4928C22semidirect
142. #4677C22semidirect
143. #4677C22semidirect
144. #4675C22semidirect
145. #4675C22semidirect
146. #4674C22semidirect
147. #4674C22semidirect
148. #4673C22semidirect
149. #4673C22semidirect
152. #4670C22semidirect
153. #4670C22semidirect
154. #4670C22semidirect
155. #4670C22semidirect
156. #4670C22semidirect
157. #4670C22semidirect
158. #4669C22semidirect
159. #4669C22semidirect
160. #4668C22semidirect
161. #4668C22semidirect
162. #4668C22semidirect
163. #4668C22semidirect
164. #4668C22semidirect
165. #4668C22semidirect
166. #4666C22semidirect
167. #4666C22semidirect
168. #4666C22semidirect
169. #4666C22semidirect
176. #4664C22semidirect
177. #4664C22semidirect
178. #4664C22semidirect
179. #4664C22semidirect
180. D3×#95C22semidirect
181. D3×#95C22semidirect
182. #4661C22semidirect
183. #4660C22semidirect
184. #4655C22semidirect
185. #4654C22semidirect
186. #4654C22semidirect
187. #4647C22semidirect
188. #4647C22semidirect
189. #4646C22semidirect
204. #2473D3semidirect
424. C2×#125C2×D3semidirect
459. #400C2×D3semidirect
467. #398C2×D3semidirect
468. #398C2×D3semidirect
469. #398C2×D3semidirect
497. #389C2×D3semidirect
516. #387C2×D3semidirect
517. #387C2×D3semidirect
1328. C22×C3#552semidirect
1588. C22#5694semidirect
1622. C3#59012semidirect

Maximal subgroups

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

subgroupindex
C2×#56942
C22×#8942
C3×#24732
#830472
#821722
#783462
#781402
#779722
#779552
#779462
#778492
#777882
#762312
#760692
#753162
#753082
#751512
#749892
#745992
#745952
D3×#3852
#744532
#744432
#744132
#739092
#738622
C22⋊C4×D122
#734662
#590123