Finite Group Databasebeta

← #6411592

Subgroups — #6411592

Order 512.

2001 conjugacy classes of subgroups.

The subgroup lattice has 1537 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C4×#534C211yesmaximal, characteristic
2#23329C211yesmaximal, characteristic, complemented
3#23327C211yesmaximal, characteristic, complemented
4#23320C211yesmaximal, characteristic, complemented
5#23308C211yesmaximal, characteristic, complemented
6#23298C211yesmaximal, characteristic, complemented
7#23088C211yesmaximal, characteristic, complemented
8#23085C211yesmaximal, characteristic, complemented
9#22848C211yesmaximal, characteristic, complemented
10#22848C211yesmaximal, characteristic, complemented
11#22848C211yesmaximal, characteristic, complemented
12#22846C211yesmaximal, characteristic, complemented
13#22846C211yesmaximal, characteristic, complemented
14#22554C211yesmaximal, characteristic, complemented
15#22552C211yesmaximal, characteristic, complemented
16#22399C211yesmaximal, characteristic, complemented
17D4×C22⋊C8C211yesmaximal, characteristic, complemented
18#22365C211yesmaximal, characteristic, complemented
19#22359C211yesmaximal, characteristic, complemented
20#22333C211yesmaximal, characteristic, complemented
21#22331C211yesmaximal, characteristic, complemented
22#22141C211yesmaximal, characteristic, complemented
23#22137C211yesmaximal, characteristic, complemented
24#22069C211yesmaximal, characteristic, complemented
25#22063C211yesmaximal, characteristic, complemented
26#22038C211yesmaximal, characteristic, complemented
27#22032C211yesmaximal, characteristic, complemented
28#21742C211yesmaximal, characteristic, complemented
29#21563C211yesmaximal, characteristic, complemented
30C8×#123C211yesmaximal, characteristic, complemented
31C2×#1954C211yesmaximal, characteristic, complemented
32C2×#534C411yescharacteristic
33C22×C4×D4C2211yescharacteristic
34C22×C4×D4C2211yescharacteristic
35C2×#436C2211yescharacteristic, complemented
36C2×#436C2211yescharacteristic, complemented
37C2×#435C2211yescharacteristic
38C2×#435C2211yescharacteristic
39C2×#435C2211yescharacteristic, complemented
40C2×#435C2211yescharacteristic, complemented
41C2×C8×D4C2211yescharacteristic
42C2×C8×D4C2211yescharacteristic
43C2×#432C2211yescharacteristic, complemented
44C2×#431C2211yescharacteristic, complemented
45C22×C4⋊C8C2211yescharacteristic, complemented
46C2×#407C2211yescharacteristic, complemented
47C2×#407C2211yescharacteristic, complemented
48C2×#407C2211yescharacteristic, complemented
49C22×C22⋊C8C2211yescharacteristic
50C22×C22⋊C8C2211yescharacteristic
51C22×C22⋊C8C2211yescharacteristic, complemented
52C22×C22⋊C8C2211yescharacteristic, complemented
53C22×C22⋊C8C2211yescharacteristic, complemented
54C22×C4×C8C2211yescharacteristic, complemented
55#2325C411yescharacteristic
56#2325C411yescharacteristic
57#2325C411yescharacteristic
58#2325C411yescharacteristic
59#2322C411yescharacteristic
60#2322C411yescharacteristic
61#2322C411yescharacteristic
62#2322C411yescharacteristic
63#2321C411yescharacteristic
64#2321C411yescharacteristic
65#2321C411yescharacteristic
66#2321C411yescharacteristic
67#2315C411yescharacteristic
68#2308C411yescharacteristic
69#2308C411yescharacteristic
70C4×#123C2211yescharacteristic
71C4×#123C2211yescharacteristic
72C4×#123C2211yescharacteristic
73C4×#123C2211yescharacteristic
74C4×#121C2211yescharacteristic
75C4×#121C2211yescharacteristic
76C4×#121C2211yescharacteristic
77C4×#121C2211yescharacteristic
78C4×#120C2211yescharacteristic
79C4×#120C2211yescharacteristic
80C4×#120C2211yescharacteristic
81C4×#120C2211yescharacteristic
82C2×C4×C22⋊C4C2211yescharacteristic
83#1955C2211yescharacteristic, complemented
84#1955C2211yescharacteristic, complemented
85#1955C2211yescharacteristic, complemented
86#1955C2211yescharacteristic, complemented
87#1954C2211yescharacteristic
88#1954C2211yescharacteristic
89#1954C2211yescharacteristic
90#1954C2211yescharacteristic
91#1954C2211yescharacteristic, complemented
92#1954C2211yescharacteristic, complemented
93#1954C2211yescharacteristic, complemented
94#1954C2211yescharacteristic, complemented
95#1954C2211yescharacteristic, complemented
96#1954C2211yescharacteristic, complemented
97#1954C2211yescharacteristic, complemented
98#1954C2211yescharacteristic, complemented
99#1940C2211yescharacteristic, complemented
100#1940C2211yescharacteristic, complemented
101#1939C2211yescharacteristic, complemented
102#1939C2211yescharacteristic, complemented
103#1924C2211yescharacteristic, complemented
104#1924C2211yescharacteristic, complemented
105#1924C2211yescharacteristic, complemented
106#1924C2211yescharacteristic, complemented
107#1924C2211yescharacteristic, complemented
108#1924C2211yescharacteristic, complemented
109#1924C2211yescharacteristic, complemented
110#1924C2211yescharacteristic, complemented
111#1924C2211yescharacteristic, complemented
112#1924C2211yescharacteristic, complemented
113#1923C2211yescharacteristic, complemented
114#1923C2211yescharacteristic, complemented
115#1923C2211yescharacteristic, complemented
116#1923C2211yescharacteristic, complemented
117#1923C2211yescharacteristic, complemented
118#1923C2211yescharacteristic, complemented
119#1923C2211yescharacteristic, complemented
120#1923C2211yescharacteristic, complemented
121#1923C2211yescharacteristic, complemented
122#1923C2211yescharacteristic, complemented
123#1923C2211yescharacteristic, complemented
124#1923C2211yescharacteristic, complemented
125#1923C2211yescharacteristic, complemented
126#1923C2211yescharacteristic, complemented
127#1917C2211yescharacteristic, complemented
128#1917C2211yescharacteristic, complemented
129#1916C2211yescharacteristic, complemented
130#1916C2211yescharacteristic, complemented
131#1916C2211yescharacteristic, complemented
132#1916C2211yescharacteristic, complemented
133#1916C2211yescharacteristic, complemented
134#1916C2211yescharacteristic, complemented
135#1870C2211yescharacteristic
136#1870C2211yescharacteristic
137#1870C2211yescharacteristic
138#1870C2211yescharacteristic
139#1870C2211yescharacteristic, complemented
140#1870C2211yescharacteristic, complemented
141#1870C2211yescharacteristic, complemented
142#1870C2211yescharacteristic, complemented
143#1870C2211yescharacteristic, complemented
144#1870C2211yescharacteristic, complemented
145#1870C2211yescharacteristic, complemented
146#1870C2211yescharacteristic, complemented
147#1870C2211yescharacteristic, complemented
148#1870C2211yescharacteristic, complemented
149#1870C2211yescharacteristic, complemented
150#1870C2211yescharacteristic, complemented
151#1869C2211yescharacteristic
152#1869C2211yescharacteristic
153#1869C2211yescharacteristic
154#1869C2211yescharacteristic
155#1869C2211yescharacteristic, complemented
156#1869C2211yescharacteristic, complemented
157#1869C2211yescharacteristic, complemented
158#1869C2211yescharacteristic, complemented
159#1851C2211yescharacteristic, complemented
160#1851C2211yescharacteristic, complemented
161#1851C2211yescharacteristic, complemented
162#1851C2211yescharacteristic, complemented
163#1851C2211yescharacteristic, complemented
164#1851C2211yescharacteristic, complemented
165#1850C2211yescharacteristic, complemented
166#1850C2211yescharacteristic, complemented
167#1850C2211yescharacteristic, complemented
168#1850C2211yescharacteristic, complemented
169#1850C2211yescharacteristic, complemented
170#1850C2211yescharacteristic, complemented
171#1817C2211yescharacteristic, complemented
172#1817C2211yescharacteristic, complemented
173#1817C2211yescharacteristic, complemented
174#1817C2211yescharacteristic, complemented
175#1797C2211yescharacteristic, complemented
176#1797C2211yescharacteristic, complemented
177#1797C2211yescharacteristic, complemented
178#1797C2211yescharacteristic, complemented
179#1779C2211yescharacteristic
180#1779C2211yescharacteristic
181#1779C2211yescharacteristic, complemented
182#1779C2211yescharacteristic, complemented
183#1771C2211yescharacteristic, complemented
184#1771C2211yescharacteristic, complemented
185C8×C4⋊C4C2211yescharacteristic, complemented
186C8×C4⋊C4C2211yescharacteristic, complemented
187#1753C2211yescharacteristic, complemented
188#1753C2211yescharacteristic, complemented
189#1753C2211yescharacteristic, complemented
190#1753C2211yescharacteristic, complemented
191#1753C2211yescharacteristic, complemented
192#1753C2211yescharacteristic, complemented
193#1752C2211yescharacteristic, complemented
194#1752C2211yescharacteristic, complemented
195C8×C22⋊C4C2211yescharacteristic, complemented
196C8×C22⋊C4C2211yescharacteristic, complemented
197C8×C22⋊C4C2211yescharacteristic, complemented
198C8×C22⋊C4C2211yescharacteristic, complemented
199#1749C2211yescharacteristic, complemented
200#1749C2211yescharacteristic, complemented
201C4×C22⋊C8C2211yescharacteristic, complemented
202C4×C22⋊C8C2211yescharacteristic, complemented
203C23×D4C2×C411yescharacteristic
204C23×D4C2×C411yescharacteristic
205C24×C4C2311yescharacteristic
206C24×C4C2311yescharacteristic
207C24×C4C2311yescharacteristic
208C22×M16C2311yescharacteristic
209C22×M16C2311yescharacteristic
210C22×M16C2311yescharacteristic
211C22×M16C2311yescharacteristic
212C22×M16C2311yescharacteristic
213C22×M16C2311yescharacteristic
214C23×C8C2311yescharacteristic
215C23×C8C2311yescharacteristic
216C23×C8C2311yescharacteristic
217C23×C8C2311yescharacteristic
218C23×C8C2311yescharacteristic
219C23×C8C2311yescharacteristic
220#534—28no—
221C2×#123C2×C411yescharacteristic
222C2×#123C2×C411yescharacteristic
223C2×#123C2×C411yescharacteristic
224C2×#123C2×C411yescharacteristic
225C2×#121C2×C411yescharacteristic
226C2×#121C2×C411yescharacteristic
227C2×#121C2×C411yescharacteristic
228C2×#121C2×C411yescharacteristic
229C2×#120C2×C411yescharacteristic
230C2×#120C2×C411yescharacteristic
231C2×#120C2×C411yescharacteristic
232C2×#120C2×C411yescharacteristic
233C2×C4×D4—42no—
234C2×C4×D4—42no—
235C2×C4×D4—42no—
236C2×C4×D4—42no—
237C2×C4×D4C2×C411yescharacteristic
238C2×C4×D4C2×C411yescharacteristic
239C2×C4×D4C2×C411yescharacteristic
240C2×C4×D4C2×C411yescharacteristic
241C2×C4×D4C2×C411yescharacteristic
242C2×C4×D4C2×C411yescharacteristic
243C2×C4×D4C2×C411yescharacteristic
244C2×C4×D4C2×C411yescharacteristic
245C2×C4×D4C2311yescharacteristic
246C2×C4×D4C2311yescharacteristic
247C2×C4×D4C2311yescharacteristic
248C2×C4×D4C2311yescharacteristic
249C2×C4×D4C2311yescharacteristic
250C2×C4×D4C2311yescharacteristic
251C2×C4×D4C2311yescharacteristic
252C2×C4×D4C2311yescharacteristic
253C2×C4×D4C2311yescharacteristic
254C2×C4×D4C2311yescharacteristic
255C2×C4×D4C2311yescharacteristic
256C2×C4×D4C2311yescharacteristic
257C22×C4⋊C4C2×C411yescharacteristic
258C22×C4⋊C4C2×C411yescharacteristic
259C22×C22⋊C4C2×C411yescharacteristic
260C22×C22⋊C4C2×C411yescharacteristic
261C22×C22⋊C4C2×C411yescharacteristic
262C22×C22⋊C4C2×C411yescharacteristic
263C22×C22⋊C4C2×C411yescharacteristic
264C22×C22⋊C4C2×C411yescharacteristic
265C22×C42C2311yescharacteristic
266C22×C42C2311yescharacteristic
267C22×C42C2311yescharacteristic
268C22×C42C2311yescharacteristic
269#436—42no—
270#436—42no—
271#435—42no—
272#435—42no—
273#435—42no—
274#435—42no—
275C8×D4—42no—
276C8×D4—42no—
277#432—42no—
278#431—42no—
279C2×C4⋊C8—42no—
280C2×C4⋊C8C2311yescharacteristic
281C2×C4⋊C8C2311yescharacteristic
282C2×C4⋊C8C2311yescharacteristic
283C2×C4⋊C8C2311yescharacteristic
284C2×C4⋊C8C2311yescharacteristic
285C2×C4⋊C8C2311yescharacteristic
286C2×C4⋊C8C2311yescharacteristic
287C2×C4⋊C8C2311yescharacteristic
288C2×C4⋊C8C2311yescharacteristic
289C2×C4⋊C8C2311yescharacteristic
290C2×C4⋊C8C2311yescharacteristic
291C2×C4⋊C8C2311yescharacteristic
292C2×C4⋊C8C2311yescharacteristic
293C2×C4⋊C8C2311yescharacteristic
294C2×C4⋊C8C2311yescharacteristic
295C2×C4⋊C8C2311yescharacteristic
296#407—42no—
297#407—42no—
298#407—42no—
299C2×C22⋊C8—42no—
300C2×C22⋊C8—42no—
301C2×C22⋊C8—42no—
302C2×C22⋊C8—42no—
303C2×C22⋊C8—42no—
304C2×C22⋊C8C2311yescharacteristic
305C2×C22⋊C8C2311yescharacteristic
306C2×C22⋊C8C2311yescharacteristic
307C2×C22⋊C8C2311yescharacteristic
308C2×C22⋊C8C2311yescharacteristic
309C2×C22⋊C8C2311yescharacteristic
310C2×C22⋊C8C2311yescharacteristic
311C2×C22⋊C8C2311yescharacteristic
312C2×C22⋊C8C2311yescharacteristic
313C2×C22⋊C8C2311yescharacteristic
314C2×C22⋊C8C2311yescharacteristic
315C2×C22⋊C8C2311yescharacteristic
316C2×C22⋊C8C2311yescharacteristic
317C2×C22⋊C8C2311yescharacteristic
318C2×C22⋊C8C2311yescharacteristic
319C2×C22⋊C8C2311yescharacteristic
320C2×C22⋊C8C2311yescharacteristic
321C2×C22⋊C8C2311yescharacteristic
322C2×C22⋊C8C2311yescharacteristic
323C2×C22⋊C8C2311yescharacteristic
324C2×C22⋊C8C2311yescharacteristic
325C2×C22⋊C8C2311yescharacteristic
326C2×C22⋊C8C2311yescharacteristic
327C2×C22⋊C8C2311yescharacteristic
328C2×C22⋊C8C2311yescharacteristic
329C2×C22⋊C8C2311yescharacteristic
330C2×C22⋊C8C2311yescharacteristic
331C2×C22⋊C8C2311yescharacteristic
332C2×C22⋊C8C2311yescharacteristic
333C2×C22⋊C8C2311yescharacteristic
334C2×C22⋊C8C2311yescharacteristic
335C2×C22⋊C8C2311yescharacteristic
336C2×C22⋊C8C2311yescharacteristic
337C2×C22⋊C8C2311yescharacteristic
338C2×C22⋊C8C2311yescharacteristic
339C2×C22⋊C8C2311yescharacteristic
340C2×C22⋊C8C2311yescharacteristic
341C2×C22⋊C8C2311yescharacteristic
342C2×C22⋊C8C2311yescharacteristic
343C2×C22⋊C8C2311yescharacteristic
344C2×C22⋊C8C2311yescharacteristic
345C2×C22⋊C8C2311yescharacteristic
346C2×C22⋊C8C2311yescharacteristic
347C2×C22⋊C8C2311yescharacteristic
348C2×#97C2311yescharacteristic
349C2×#97C2311yescharacteristic
350C2×#97C2311yescharacteristic
351C2×#97C2311yescharacteristic
352C2×#97C2311yescharacteristic
353C2×#97C2311yescharacteristic
354C2×C4×C8—42no—
355C2×C4×C8C2311yescharacteristic
356C2×C4×C8C2311yescharacteristic
357C2×C4×C8C2311yescharacteristic
358C2×C4×C8C2311yescharacteristic
359C2×C4×C8C2311yescharacteristic
360C2×C4×C8C2311yescharacteristic
361C2×C4×C8C2311yescharacteristic
362C2×C4×C8C2311yescharacteristic
363C2×C4×C8C2311yescharacteristic
364C2×C4×C8C2311yescharacteristic
365#390C2×C411yescharacteristic
366#390C2×C411yescharacteristic
367#390C2×C411yescharacteristic
368#390C2×C411yescharacteristic
369#389C2×C411yescharacteristic
370#389C2×C411yescharacteristic
371#389C2×C411yescharacteristic
372#389C2×C411yescharacteristic
373#388C2×C411yescharacteristic
374#388C2×C411yescharacteristic
375#388C2×C411yescharacteristic
376#388C2×C411yescharacteristic
377#388C2×C411yescharacteristic
378#388C2×C411yescharacteristic
379#388C2×C411yescharacteristic
380#388C2×C411yescharacteristic
381#388C2×C411yescharacteristic
382#388C2×C411yescharacteristic
383#388C2×C411yescharacteristic
384#388C2×C411yescharacteristic
385#388C2×C411yescharacteristic
386#388C2×C411yescharacteristic
387#388C2×C411yescharacteristic
388#388C2×C411yescharacteristic
389#387C2×C411yescharacteristic
390#387C2×C411yescharacteristic
391#387C2×C411yescharacteristic
392#387C2×C411yescharacteristic
393#387C2×C411yescharacteristic
394#387C2×C411yescharacteristic
395#387C2×C411yescharacteristic
396#387C2×C411yescharacteristic
397#386C2×C411yescharacteristic
398#386C2×C411yescharacteristic
399#386C2×C411yescharacteristic
400#386C2×C411yescharacteristic
401#386C2×C411yescharacteristic
402#386C2×C411yescharacteristic
403#386C2×C411yescharacteristic
404#386C2×C411yescharacteristic
405#386C2×C411yescharacteristic
406#386C2×C411yescharacteristic
407#386C2×C411yescharacteristic
408#386C2×C411yescharacteristic
409#386C2×C411yescharacteristic
410#386C2×C411yescharacteristic
411#386C2×C411yescharacteristic
412#386C2×C411yescharacteristic
413#386C2×C411yescharacteristic
414#386C2×C411yescharacteristic
415#386C2×C411yescharacteristic
416#386C2×C411yescharacteristic
417#386C2×C411yescharacteristic
418#386C2×C411yescharacteristic
419#386C2×C411yescharacteristic
420#386C2×C411yescharacteristic
421#385C2×C411yescharacteristic
422#385C2×C411yescharacteristic
423#385C2×C411yescharacteristic
424#385C2×C411yescharacteristic
425#385C2×C411yescharacteristic
426#385C2×C411yescharacteristic
427#385C2×C411yescharacteristic
428#385C2×C411yescharacteristic
429#385C2×C411yescharacteristic
430#385C2×C411yescharacteristic
431#385C2×C411yescharacteristic
432#385C2×C411yescharacteristic
433#385C2×C411yescharacteristic
434#385C2×C411yescharacteristic
435#385C2×C411yescharacteristic
436#385C2×C411yescharacteristic
437#381C2×C411yescharacteristic
438#381C2×C411yescharacteristic
439#381C2×C411yescharacteristic
440#381C2×C411yescharacteristic
441#380C2×C411yescharacteristic
442#380C2×C411yescharacteristic
443#380C2×C411yescharacteristic
444#380C2×C411yescharacteristic
445#379C2×C411yescharacteristic
446#379C2×C411yescharacteristic
447#379C2×C411yescharacteristic
448#379C2×C411yescharacteristic
449C4×C4⋊C4C2311yescharacteristic
450C4×C4⋊C4C2311yescharacteristic
451C4×C4⋊C4C2311yescharacteristic
452C4×C4⋊C4C2311yescharacteristic
453C4×C22⋊C4C2×C411yescharacteristic
454C4×C22⋊C4C2×C411yescharacteristic
455C4×C22⋊C4C2×C411yescharacteristic
456C4×C22⋊C4C2×C411yescharacteristic
457C4×C22⋊C4C2311yescharacteristic
458C4×C22⋊C4C2311yescharacteristic
459C4×C22⋊C4C2311yescharacteristic
460C4×C22⋊C4C2311yescharacteristic
461C4×C22⋊C4C2311yescharacteristic
462C4×C22⋊C4C2311yescharacteristic
463C4×C22⋊C4C2311yescharacteristic
464C4×C22⋊C4C2311yescharacteristic
465C4×C22⋊C4C2311yescharacteristic
466C4×C22⋊C4C2311yescharacteristic
467C4×C22⋊C4C2311yescharacteristic
468C4×C22⋊C4C2311yescharacteristic
469C2×#95C2×C411yescharacteristic
470C2×#95C2×C411yescharacteristic
471#336C2311yescharacteristic
472#336C2311yescharacteristic
473#336C2311yescharacteristic
474#336C2311yescharacteristic
475#336C2311yescharacteristic
476#336C2311yescharacteristic
477#336C2311yescharacteristic
478#336C2311yescharacteristic
479#336C2311yescharacteristic
480#336C2311yescharacteristic
481#336C2311yescharacteristic
482#336C2311yescharacteristic
483#336C2311yescharacteristic
484#336C2311yescharacteristic
485#336C2311yescharacteristic
486#336C2311yescharacteristic
487#336C2311yescharacteristic
488#336C2311yescharacteristic
489#336C2311yescharacteristic
490#336C2311yescharacteristic
491#336C2311yescharacteristic
492#336C2311yescharacteristic
493#336C2311yescharacteristic
494#336C2311yescharacteristic
495#336C2311yescharacteristic
496#336C2311yescharacteristic
497#336C2311yescharacteristic
498#336C2311yescharacteristic
499#336C2311yescharacteristic
500#336C2311yescharacteristic
501#336C2311yescharacteristic
502#336C2311yescharacteristic
503C25C22×C411yescharacteristic
504C25C22×C411yescharacteristic
505C25C22×C411yescharacteristic
506C22×D4—24no—
507C22×D4—24no—
508C22×D4—24no—
509C22×D4—24no—
510C22×D4—42no—
511C22×D4—42no—
512C22×D4C22×C411yescharacteristic
513C22×D4C22×C411yescharacteristic
514C22×D4C22×C411yescharacteristic
515C22×D4C22×C411yescharacteristic
516C22×D4C22×C411yescharacteristic
517C22×D4C22×C411yescharacteristic
518C22×D4C22×C411yescharacteristic
519C22×D4C22×C411yescharacteristic
520C22×D4C22×C411yescharacteristic
521C22×D4C22×C411yescharacteristic
522C22×D4C22×C411yescharacteristic
523C22×D4C22×C411yescharacteristic
524C23×C4—22no—
525C23×C4—22no—
526C23×C4—22no—
527C23×C4—22no—
528C23×C4—41no—
529C23×C4—41no—
530C23×C4—41no—
531C23×C4—41no—
532C23×C4—41no—
533C23×C4—41no—
534C23×C4—41no—
535C23×C4—41no—
536C23×C4—41no—
537C23×C4—41no—
538C23×C4—41no—
539C23×C4—41no—
540C23×C4—41no—
541C23×C4—41no—
542C23×C4C22×C411yescharacteristic
543C23×C4C22×C411yescharacteristic
544C23×C4C22×C411yescharacteristic
545C23×C4C22×C411yescharacteristic
546C23×C4C22×C411yescharacteristic
547C23×C4C22×C411yescharacteristic
548C23×C4C22×C411yescharacteristic
549C23×C4C22×C411yescharacteristic
550C23×C4C22×C411yescharacteristic
551C23×C4C22×C411yescharacteristic
552C23×C4C22×C411yescharacteristic
553C23×C4C22×C411yescharacteristic
554C23×C4C22×C411yescharacteristic
555C23×C4C22×C411yescharacteristic
556C23×C4C22×C411yescharacteristic
557C23×C4C22×C411yescharacteristic
558C23×C4C22×C411yescharacteristic
559C23×C4C2411yescharacteristic
560C23×C4C2411yescharacteristic
561C23×C4C2411yescharacteristic
562C23×C4C2411yescharacteristic
563C23×C4C2411yescharacteristic
564C23×C4C2411yescharacteristic
565C23×C4C2411yescharacteristic
566C2×M16—22no—
567C2×M16—41no—
568C2×M16—41no—
569C2×M16—41no—
570C2×M16—41no—
571C2×M16—41no—
572C2×M16—41no—
573C2×M16—41no—
574C2×M16—41no—
575C2×M16—41no—
576C2×M16—41no—
577C2×M16—41no—
578C2×M16—41no—
579C2×M16—41no—
580C2×M16—41no—
581C2×M16—41no—
582C2×M16—41no—
583C2×M16—41no—
584C22×C8—22no—
585C22×C8—22no—
586C22×C8—22no—
587C22×C8—22no—
588C22×C8—22no—
589C22×C8—22no—
590C22×C8—22no—
591C22×C8—41no—
592C22×C8—41no—
593C22×C8—41no—
594C22×C8—41no—
595C22×C8—41no—
596C22×C8—41no—
597C22×C8—41no—
598C22×C8—41no—
599C22×C8—41no—
600C22×C8—41no—
601C22×C8—41no—
602C22×C8C2411yescharacteristic
603C22×C8C2411yescharacteristic
604C22×C8C2411yescharacteristic
605C22×C8C2411yescharacteristic
606C22×C8C2411yescharacteristic
607C22×C8C2411yescharacteristic
608C22×C8C2411yescharacteristic
609C22×C8C2411yescharacteristic
610C22×C8C2411yescharacteristic
611C22×C8C2411yescharacteristic
612C22×C8C2411yescharacteristic
613C22×C8C2411yescharacteristic
614C22×C8C2411yescharacteristic
615C22×C8C2411yescharacteristic
616C22×C8C2411yescharacteristic
617C22×C8C2411yescharacteristic
618#123—24no—
619#123—24no—
620#123—24no—
621#123M1618yescomplemented
622#121—24no—
623#121—24no—
624#121—24no—
625#121—24no—
626#120—24no—
627#120—24no—
628#120—24no—
629#120—24no—
630C4×D4—22no—
631C4×D4—22no—
632C4×D4—22no—
633C4×D4—22no—
634C4×D4—42no—
635C4×D4—42no—
636C4×D4—42no—
637C4×D4—42no—
638C4×D4—41no—
639C4×D4—41no—
640C4×D4—41no—
641C4×D4—41no—
642C4×D4—41no—
643C4×D4—41no—
644C4×D4—41no—
645C4×D4—41no—
646C4×D4—41no—
647C4×D4—41no—
648C4×D4—41no—
649C4×D4—41no—
650C4×D4—41no—
651C4×D4—41no—
652C4×D4—41no—
653C4×D4—41no—
654C4×D4—41no—
655C4×D4—41no—
656C4×D4—41no—
657C4×D4—41no—
658C4×D4—42no—
659C4×D4—42no—
660C4×D4—42no—
661C4×D4—42no—
662C2×C4⋊C4—42no—
663C2×C4⋊C4—42no—
664C2×C4⋊C4C22×C411yescharacteristic
665C2×C4⋊C4C22×C411yescharacteristic
666C2×C4⋊C4C22×C411yescharacteristic
667C2×C4⋊C4C22×C411yescharacteristic
668C2×C4⋊C4C22×C411yescharacteristic
669C2×C4⋊C4C22×C411yescharacteristic
670C2×C4⋊C4C22×C411yescharacteristic
671C2×C4⋊C4C22×C411yescharacteristic
672C2×C4⋊C4C22×C411yescharacteristic
673C2×C4⋊C4C22×C411yescharacteristic
674C2×C4⋊C4C22×C411yescharacteristic
675C2×C4⋊C4C22×C411yescharacteristic
676C2×C4⋊C4C22×C411yescharacteristic
677C2×C4⋊C4C22×C411yescharacteristic
678C2×C4⋊C4C22×C411yescharacteristic
679C2×C4⋊C4C22×C411yescharacteristic
680C2×C4⋊C4C22×C411yescharacteristic
681C2×C4⋊C4C22×C411yescharacteristic
682C2×C4⋊C4C22×C411yescharacteristic
683C2×C4⋊C4C22×C411yescharacteristic
684C2×C22⋊C4—24no—
685C2×C22⋊C4—24no—
686C2×C22⋊C4—42no—
687C2×C22⋊C4—42no—
688C2×C22⋊C4—42no—
689C2×C22⋊C4—42no—
690C2×C22⋊C4C22×C411yescharacteristic
691C2×C22⋊C4C22×C411yescharacteristic
692C2×C22⋊C4C22×C411yescharacteristic
693C2×C22⋊C4C22×C411yescharacteristic
694C2×C22⋊C4C22×C411yescharacteristic
695C2×C22⋊C4C22×C411yescharacteristic
696C2×C22⋊C4C22×C411yescharacteristic
697C2×C22⋊C4C22×C411yescharacteristic
698C2×C22⋊C4C22×C411yescharacteristic
699C2×C22⋊C4C22×C411yescharacteristic
700C2×C22⋊C4C22×C411yescharacteristic
701C2×C22⋊C4C22×C411yescharacteristic
702C2×C22⋊C4C22×C411yescharacteristic
703C2×C22⋊C4C22×C411yescharacteristic
704C2×C22⋊C4C22×C411yescharacteristic
705C2×C22⋊C4C22×C411yescharacteristic
706C2×C22⋊C4C22×C411yescharacteristic
707C2×C22⋊C4C22×C411yescharacteristic
708C2×C22⋊C4C22×C411yescharacteristic
709C2×C22⋊C4C22×C411yescharacteristic
710C2×C22⋊C4C22×C411yescharacteristic
711C2×C22⋊C4C22×C411yescharacteristic
712C2×C22⋊C4C22×C411yescharacteristic
713C2×C22⋊C4C22×C411yescharacteristic
714C2×C22⋊C4C22×C411yescharacteristic
715C2×C22⋊C4C22×C411yescharacteristic
716C2×C22⋊C4C22×C411yescharacteristic
717C2×C22⋊C4C22×C411yescharacteristic
718C2×C22⋊C4C22×C411yescharacteristic
719C2×C22⋊C4C22×C411yescharacteristic
720C2×C22⋊C4C22×C411yescharacteristic
721C2×C22⋊C4C22×C411yescharacteristic
722C2×C22⋊C4C22×C411yescharacteristic
723C2×C22⋊C4C22×C411yescharacteristic
724C2×C22⋊C4C22×C411yescharacteristic
725C2×C22⋊C4C22×C411yescharacteristic
726C2×C22⋊C4C22×C411yescharacteristic
727C2×C22⋊C4C22×C411yescharacteristic
728C2×C22⋊C4C22×C411yescharacteristic
729C2×C22⋊C4C22×C411yescharacteristic
730C2×C22⋊C4C22×C411yescharacteristic
731C2×C22⋊C4C22×C411yescharacteristic
732C2×C22⋊C4C22×C411yescharacteristic
733C2×C22⋊C4C22×C411yescharacteristic
734C2×C22⋊C4C22×C411yescharacteristic
735C2×C22⋊C4C22×C411yescharacteristic
736C2×C22⋊C4C22×C411yescharacteristic
737C2×C22⋊C4C22×C411yescharacteristic
738C2×C42—22no—
739C2×C42—22no—
740C2×C42—41no—
741C2×C42—41no—
742C2×C42—41no—
743C2×C42—41no—
744C2×C42—41no—
745C2×C42—41no—
746C2×C42C22×C411yescharacteristic
747C2×C42C22×C411yescharacteristic
748C2×C42C22×C411yescharacteristic
749C2×C42C22×C411yescharacteristic
750C2×C42C22×C411yescharacteristic
751C2×C42C22×C411yescharacteristic
752C2×C42C22×C411yescharacteristic
753C2×C42C22×C411yescharacteristic
754C2×C42C2411yescharacteristic
755C2×C42C2411yescharacteristic
756C2×C42C2411yescharacteristic
757C2×C42C2411yescharacteristic
758C2×C42C2411yescharacteristic
759C2×C42C2411yescharacteristic
760C2×C42C2411yescharacteristic
761C2×C42C2411yescharacteristic
762C4⋊C8—22no—
763C4⋊C8—22no—
764C4⋊C8—41no—
765C4⋊C8—41no—
766C4⋊C8—41no—
767C4⋊C8—41no—
768C4⋊C8—41no—
769C4⋊C8—41no—
770C4⋊C8—41no—
771C4⋊C8—41no—
772C4⋊C8—41no—
773C4⋊C8—41no—
774C4⋊C8—41no—
775C4⋊C8—41no—
776C4⋊C8—41no—
777C4⋊C8—41no—
778C22⋊C8—22no—
779C22⋊C8—22no—
780C22⋊C8—22no—
781C22⋊C8—22no—
782C22⋊C8—22no—
783C22⋊C8—22no—
784C22⋊C8—22no—
785C22⋊C8—22no—
786C22⋊C8—22no—
787C22⋊C8—22no—
788C22⋊C8—22no—
789C22⋊C8—22no—
790C22⋊C8—22no—
791C22⋊C8—22no—
792C22⋊C8—41no—
793C22⋊C8—41no—
794C22⋊C8—41no—
795C22⋊C8—41no—
796C22⋊C8—41no—
797C22⋊C8—41no—
798C22⋊C8—41no—
799C22⋊C8—41no—
800C22⋊C8—41no—
801C22⋊C8—41no—
802C22⋊C8—41no—
803C22⋊C8—41no—
804C22⋊C8—41no—
805C22⋊C8—41no—
806C22⋊C8—41no—
807C22⋊C8—41no—
808C22⋊C8—41no—
809C22⋊C8—41no—
810C22⋊C8—41no—
811C22⋊C8—41no—
812C22⋊C8—41no—
813C22⋊C8—41no—
814C22⋊C8—41no—
815C22⋊C8—41no—
816C22⋊C8—41no—
817C22⋊C8—41no—
818C22⋊C8—41no—
819C22⋊C8—41no—
820C22⋊C8—41no—
821C22⋊C8—41no—
822#97—22no—
823#97—41no—
824#97—41no—
825#97—41no—
826#97—41no—
827#97—41no—
828C4×C8—22no—
829C4×C8—41no—
830C4×C8—41no—
831C4×C8—41no—
832C4×C8—41no—
833C4×C8—41no—
834C4×C8—41no—
835C4×C8—41no—
836C4×C8—41no—
837C4×C8—41no—
838#95C22×C411yescharacteristic
839#95C22×C411yescharacteristic
840#95C22×C411yescharacteristic
841#95C22×C411yescharacteristic
842#95C22×C411yescharacteristic
843#95C22×C411yescharacteristic
844#95C22×C411yescharacteristic
845#95C22×C411yescharacteristic
846#95C22×C411yescharacteristic
847#95C22×C411yescharacteristic
848#95C22×C411yescharacteristic
849#95C22×C411yescharacteristic
850#95C22×C411yescharacteristic
851#95C22×C411yescharacteristic
852#95C22×C411yescharacteristic
853#95C22×C411yescharacteristic
854#95C22×C411yescharacteristic
855#95C22×C411yescharacteristic
856#95C22×C411yescharacteristic
857#95C22×C411yescharacteristic
858#95C22×C411yescharacteristic
859#95C22×C411yescharacteristic
860#95C22×C411yescharacteristic
861#95C22×C411yescharacteristic
862#95C22×C411yescharacteristic
863#95C22×C411yescharacteristic
864#95C22×C411yescharacteristic
865#95C22×C411yescharacteristic
866#95C22×C411yescharacteristic
867#95C22×C411yescharacteristic
868#95C22×C411yescharacteristic
869#95C22×C411yescharacteristic
870C24—22no—
871C24—22no—
872C24—22no—
873C24—22no—
874C24—22no—
875C24—22no—
876C24—22no—
877C24—41no—
878C24—41no—
879C24—41no—
880C24—41no—
881C24—41no—
882C24—41no—
883C24—41no—
884C24—41no—
885C24—41no—
886C24—41no—
887C24—41no—
888C24—41no—
889C24—41no—
890C24#13114yes—
891C24C23×C411yescharacteristic
892C24C23×C411yescharacteristic
893C24C23×C411yescharacteristic
894C24C23×C411yescharacteristic
895C24C23×C411yescharacteristic
896C24C23×C411yescharacteristic
897C24C23×C411yescharacteristic
898C2×D4—22no—
899C2×D4—22no—
900C2×D4—22no—
901C2×D4—22no—
902C2×D4—22no—
903C2×D4—22no—
904C2×D4—22no—
905C2×D4—22no—
906C2×D4—22no—
907C2×D4—22no—
908C2×D4—22no—
909C2×D4—22no—
910C2×D4—22no—
911C2×D4—22no—
912C2×D4—22no—
913C2×D4—22no—
914C2×D4—22no—
915C2×D4—22no—
916C2×D4—22no—
917C2×D4—22no—
918C2×D4—22no—
919C2×D4—41no—
920C2×D4—41no—
921C2×D4—41no—
922C2×D4—41no—
923C2×D4—41no—
924C2×D4—41no—
925C2×D4—416no—
926C2×D4—41no—
927C2×D4—41no—
928C2×D4—41no—
929C2×D4—41no—
930C2×D4—41no—
931C2×D4—41no—
932C2×D4—41no—
933C2×D4—41no—
934C2×D4—416no—
935C2×D4C2×M1614yes—
936C22×C4—22no—
937C22×C4—22no—
938C22×C4—21no—
939C22×C4—21no—
940C22×C4—21no—
941C22×C4—21no—
942C22×C4—22no—
943C22×C4—22no—
944C22×C4—22no—
945C22×C4—22no—
946C22×C4—22no—
947C22×C4—22no—
948C22×C4—22no—
949C22×C4—21no—
950C22×C4—21no—
951C22×C4—21no—
952C22×C4—21no—
953C22×C4—21no—
954C22×C4—21no—
955C22×C4—21no—
956C22×C4—21no—
957C22×C4—21no—
958C22×C4—21no—
959C22×C4—21no—
960C22×C4—21no—
961C22×C4—21no—
962C22×C4—21no—
963C22×C4—21no—
964C22×C4—21no—
965C22×C4—21no—
966C22×C4—21no—
967C22×C4—21no—
968C22×C4—21no—
969C22×C4—21no—
970C22×C4—21no—
971C22×C4—21no—
972C22×C4—21no—
973C22×C4—21no—
974C22×C4—21no—
975C22×C4—21no—
976C22×C4—21no—
977C22×C4—21no—
978C22×C4—21no—
979C22×C4—21no—
980C22×C4—21no—
981C22×C4—21no—
982C22×C4—21no—
983C22×C4—21no—
984C22×C4—21no—
985C22×C4—22no—
986C22×C4—22no—
987C22×C4—22no—
988C22×C4—22no—
989C22×C4—22no—
990C22×C4—22no—
991C22×C4—41no—
992C22×C4—41no—
993C22×C4—41no—
994C22×C4—41no—
995C22×C4—41no—
996C22×C4—41no—
997C22×C4—41no—
998C22×C4—41no—
999C22×C4—41no—
1000C22×C4—41no—
1001C22×C4—41no—
1002C22×C4—41no—
1003C22×C4—41no—
1004C22×C4—41no—
1005C22×C4—41no—
1006C22×C4—41no—
1007C22×C4—41no—
1008C22×C4—41no—
1009C22×C4—41no—
1010C22×C4—41no—
1011C22×C4—41no—
1012C22×C4—41no—
1013C22×C4—41no—
1014C22×C4—41no—
1015C22×C4—41no—
1016C22×C4—41no—
1017C22×C4—41no—
1018C22×C4—41no—
1019C22×C4—41no—
1020C22×C4—41no—
1021C22×C4—41no—
1022C22×C4—41no—
1023C22×C4—41no—
1024C22×C4—41no—
1025C22×C4—41no—
1026C22×C4—82no—
1027C22×C4—82no—
1028C22×C4—82no—
1029C22×C4—82no—
1030C22×C4—82no—
1031C22×C4—82no—
1032C22×C4—82no—
1033C22×C4—82no—
1034C22×C4—82no—
1035C22×C4—82no—
1036C22×C4—82no—
1037C22×C4—82no—
1038C22×C4C2×M1614yes—
1039C22×C4C23×C411yescharacteristic
1040C22×C4C23×C411yescharacteristic
1041C22×C4C23×C411yescharacteristic
1042C22×C4C23×C411yescharacteristic
1043C22×C4C23×C411yescharacteristic
1044C22×C4C23×C411yescharacteristic
1045C22×C4C23×C411yescharacteristic
1046C22×C4C23×C411yescharacteristic
1047C22×C4C23×C411yescharacteristic
1048C22×C4C23×C411yescharacteristic
1049C22×C4C23×C411yescharacteristic
1050C22×C4C23×C411yescharacteristic
1051C22×C4C23×C411yescharacteristic
1052C22×C4C23×C411yescharacteristic
1053C22×C4C23×C411yescharacteristic
1054C22×C4C23×C411yescharacteristic
1055C22×C4C23×C411yescharacteristic
1056C22×C4C23×C411yescharacteristic
1057C22×C4C23×C411yescharacteristic
1058C22×C4C23×C411yescharacteristic
1059C22×C4C23×C411yescharacteristic
1060C22×C4C23×C411yescharacteristic
1061C22×C4C23×C411yescharacteristic
1062C22×C4H(5,𝔽2)12yes—
1063C22×C4H(5,𝔽2)12yes—
1064C22×C4C2511yescharacteristic
1065M16—82no—
1066M16—82no—
1067M16—82no—
1068M16—82no—
1069M16—82no—
1070M16—82no—
1071C2×C8—21no—
1072C2×C8—21no—
1073C2×C8—21no—
1074C2×C8—21no—
1075C2×C8—21no—
1076C2×C8—21no—
1077C2×C8—21no—
1078C2×C8—21no—
1079C2×C8—21no—
1080C2×C8—21no—
1081C2×C8—21no—
1082C2×C8—21no—
1083C2×C8—21no—
1084C2×C8—21no—
1085C2×C8—21no—
1086C2×C8—21no—
1087C2×C8—21no—
1088C2×C8—21no—
1089C2×C8—21no—
1090C2×C8—21no—
1091C2×C8—21no—
1092C2×C8—21no—
1093C2×C8—21no—
1094C2×C8—21no—
1095C2×C8—21no—
1096C2×C8—21no—
1097C2×C8—21no—
1098C2×C8—21no—
1099C2×C8—21no—
1100C2×C8—21no—
1101C2×C8—21no—
1102C2×C8—21no—
1103C2×C8—21no—
1104C2×C8—21no—
1105C2×C8—21no—
1106C2×C8—21no—
1107C2×C8—21no—
1108C2×C8—21no—
1109C2×C8—21no—
1110C2×C8—21no—
1111C2×C8—21no—
1112C2×C8—21no—
1113C2×C8—21no—
1114C2×C8—21no—
1115C2×C8—21no—
1116C2×C8—21no—
1117C2×C8—44no—
1118C2×C8—44no—
1119C2×C8—82no—
1120C2×C8—82no—
1121C2×C8—82no—
1122C2×C8—82no—
1123C2×C8H(5,𝔽2)12yes—
1124C2×C8H(5,𝔽2)12yes—
1125C4⋊C4—22no—
1126C4⋊C4—22no—
1127C4⋊C4—22no—
1128C4⋊C4—22no—
1129C4⋊C4—41no—
1130C4⋊C4—41no—
1131C4⋊C4—41no—
1132C4⋊C4—41no—
1133C4⋊C4—41no—
1134C4⋊C4—41no—
1135C4⋊C4—41no—
1136C4⋊C4—41no—
1137C4⋊C4—41no—
1138C4⋊C4—41no—
1139C4⋊C4—41no—
1140C4⋊C4—41no—
1141C4⋊C4—41no—
1142C4⋊C4—41no—
1143C4⋊C4C2×M1614yes—
1144C4⋊C4C2×M1614yes—
1145C22⋊C4—22no—
1146C22⋊C4—22no—
1147C22⋊C4—22no—
1148C22⋊C4—22no—
1149C22⋊C4—22no—
1150C22⋊C4—22no—
1151C22⋊C4—22no—
1152C22⋊C4—22no—
1153C22⋊C4—22no—
1154C22⋊C4—22no—
1155C22⋊C4—22no—
1156C22⋊C4—22no—
1157C22⋊C4—22no—
1158C22⋊C4—22no—
1159C22⋊C4—22no—
1160C22⋊C4—22no—
1161C22⋊C4—22no—
1162C22⋊C4—41no—
1163C22⋊C4—41no—
1164C22⋊C4—41no—
1165C22⋊C4—41no—
1166C22⋊C4—41no—
1167C22⋊C4—41no—
1168C22⋊C4—41no—
1169C22⋊C4—41no—
1170C22⋊C4—41no—
1171C22⋊C4—41no—
1172C22⋊C4—41no—
1173C22⋊C4—41no—
1174C22⋊C4—41no—
1175C22⋊C4—41no—
1176C22⋊C4—41no—
1177C22⋊C4—41no—
1178C22⋊C4—41no—
1179C22⋊C4—41no—
1180C22⋊C4—41no—
1181C22⋊C4—41no—
1182C22⋊C4—41no—
1183C22⋊C4—41no—
1184C22⋊C4—41no—
1185C22⋊C4—41no—
1186C22⋊C4—41no—
1187C22⋊C4—41no—
1188C22⋊C4—41no—
1189C22⋊C4—41no—
1190C22⋊C4C2×M1614yes—
1191C22⋊C4C2×M1614yes—
1192C22⋊C4C2×M1614yes—
1193C42—22no—
1194C42—22no—
1195C42—21no—
1196C42—21no—
1197C42—21no—
1198C42—21no—
1199C42—21no—
1200C42—21no—
1201C42—21no—
1202C42—21no—
1203C42—21no—
1204C42—21no—
1205C42—21no—
1206C42—21no—
1207C42—21no—
1208C42—21no—
1209C42—21no—
1210C42—21no—
1211C42—41no—
1212C42—41no—
1213C42—41no—
1214C42—41no—
1215C42—41no—
1216C42—41no—
1217C23—21no—
1218C23—21no—
1219C23—21no—
1220C23—21no—
1221C23—21no—
1222C23—21no—
1223C23—21no—
1224C23—21no—
1225C23—21no—
1226C23—21no—
1227C23—21no—
1228C23—21no—
1229C23—21no—
1230C23—21no—
1231C23—21no—
1232C23—21no—
1233C23—21no—
1234C23—21no—
1235C23—21no—
1236C23—21no—
1237C23—21no—
1238C23—21no—
1239C23—28no—
1240C23—21no—
1241C23—21no—
1242C23—21no—
1243C23—21no—
1244C23—21no—
1245C23—21no—
1246C23—21no—
1247C23—21no—
1248C23—21no—
1249C23—21no—
1250C23—21no—
1251C23—21no—
1252C23—21no—
1253C23—21no—
1254C23—21no—
1255C23—21no—
1256C23—21no—
1257C23—21no—
1258C23—21no—
1259C23—21no—
1260C23—21no—
1261C23—44no—
1262C23—44no—
1263C23—44no—
1264C23—44no—
1265C23—44no—
1266C23—44no—
1267C23—44no—
1268C23—82no—
1269C23—82no—
1270C23—82no—
1271C23—82no—
1272C23—82no—
1273C23—82no—
1274C23—82no—
1275C23—82no—
1276C23—82no—
1277C23—82no—
1278C23—82no—
1279C23—82no—
1280C23—82no—
1281C23#51812yes—
1282C23C22×M1612yes—
1283C23C22×M1612yes—
1284C23C2×#13112yes—
1285C23C2×#13112yes—
1286C23C2×#13112yes—
1287C23C24×C411yescharacteristic
1288D4—28no—
1289D4—44no—
1290D4—44no—
1291D4—44no—
1292D4—44no—
1293D4—44no—
1294D4—44no—
1295D4—44no—
1296D4—82no—
1297D4—82no—
1298D4—82no—
1299D4—82no—
1300C2×C4—21no—
1301C2×C4—21no—
1302C2×C4—21no—
1303C2×C4—21no—
1304C2×C4—21no—
1305C2×C4—21no—
1306C2×C4—21no—
1307C2×C4—28no—
1308C2×C4—21no—
1309C2×C4—21no—
1310C2×C4—21no—
1311C2×C4—21no—
1312C2×C4—21no—
1313C2×C4—22no—
1314C2×C4—22no—
1315C2×C4—22no—
1316C2×C4—22no—
1317C2×C4—21no—
1318C2×C4—21no—
1319C2×C4—21no—
1320C2×C4—21no—
1321C2×C4—21no—
1322C2×C4—21no—
1323C2×C4—21no—
1324C2×C4—21no—
1325C2×C4—21no—
1326C2×C4—21no—
1327C2×C4—21no—
1328C2×C4—21no—
1329C2×C4—21no—
1330C2×C4—21no—
1331C2×C4—21no—
1332C2×C4—21no—
1333C2×C4—21no—
1334C2×C4—21no—
1335C2×C4—21no—
1336C2×C4—21no—
1337C2×C4—21no—
1338C2×C4—21no—
1339C2×C4—21no—
1340C2×C4—21no—
1341C2×C4—21no—
1342C2×C4—21no—
1343C2×C4—21no—
1344C2×C4—21no—
1345C2×C4—21no—
1346C2×C4—21no—
1347C2×C4—21no—
1348C2×C4—21no—
1349C2×C4—21no—
1350C2×C4—21no—
1351C2×C4—21no—
1352C2×C4—21no—
1353C2×C4—21no—
1354C2×C4—21no—
1355C2×C4—21no—
1356C2×C4—21no—
1357C2×C4—21no—
1358C2×C4—21no—
1359C2×C4—21no—
1360C2×C4—21no—
1361C2×C4—21no—
1362C2×C4—21no—
1363C2×C4—21no—
1364C2×C4—21no—
1365C2×C4—21no—
1366C2×C4—21no—
1367C2×C4—21no—
1368C2×C4—44no—
1369C2×C4—44no—
1370C2×C4—44no—
1371C2×C4—41no—
1372C2×C4—41no—
1373C2×C4—41no—
1374C2×C4—41no—
1375C2×C4—41no—
1376C2×C4—41no—
1377C2×C4—41no—
1378C2×C4—41no—
1379C2×C4—41no—
1380C2×C4—41no—
1381C2×C4—41no—
1382C2×C4—41no—
1383C2×C4—41no—
1384C2×C4—41no—
1385C2×C4—41no—
1386C2×C4—41no—
1387C2×C4—41no—
1388C2×C4—41no—
1389C2×C4—41no—
1390C2×C4—41no—
1391C2×C4—41no—
1392C2×C4—41no—
1393C2×C4—41no—
1394C2×C4—41no—
1395C2×C4—82no—
1396C2×C4—82no—
1397C2×C4—82no—
1398C2×C4—82no—
1399C2×C4—82no—
1400C2×C4—82no—
1401C2×C4—82no—
1402C2×C4—82no—
1403C2×C4—82no—
1404C2×C4—82no—
1405C2×C4—82no—
1406C2×C4—82no—
1407C2×C4—82no—
1408C2×C4#51812yes—
1409C2×C4C22×M1612yes—
1410C2×C4C22×M1612yes—
1411C2×C4C22×M1612yes—
1412C2×C4C22×M1612yes—
1413C2×C4C22×M1612yes—
1414C2×C4C2×H(5,𝔽2)11yescharacteristic
1415C2×C4C2×H(5,𝔽2)11yescharacteristic
1416C2×C4C2×H(5,𝔽2)11yescharacteristic
1417C2×C4C2×H(5,𝔽2)11yescharacteristic
1418C2×C4#58511yescharacteristic
1419C2×C4#58511yescharacteristic
1420C8—22no—
1421C8—22no—
1422C8—41no—
1423C8—41no—
1424C8—41no—
1425C8—41no—
1426C8—41no—
1427C8—41no—
1428C8—41no—
1429C8—41no—
1430C8—41no—
1431C8—41no—
1432C8—41no—
1433C8—41no—
1434C8—41no—
1435C8—41no—
1436C22—22no—
1437C22—22no—
1438C22—22no—
1439C22—22no—
1440C22—22no—
1441C22—22no—
1442C22—22no—
1443C22—22no—
1444C22—22no—
1445C22—22no—
1446C22—22no—
1447C22—22no—
1448C22—22no—
1449C22—22no—
1450C22—22no—
1451C22—41no—
1452C22—41no—
1453C22—41no—
1454C22—41no—
1455C22—41no—
1456C22—41no—
1457C22—41no—
1458C22—41no—
1459C22—41no—
1460C22—41no—
1461C22—41no—
1462C22—41no—
1463C22—41no—
1464C22—41no—
1465C22—41no—
1466C22—41no—
1467C22—41no—
1468C22—41no—
1469C22—41no—
1470C22—41no—
1471C22—41no—
1472C22—41no—
1473C22—41no—
1474C22—41no—
1475C22—41no—
1476C22—41no—
1477C22—41no—
1478C22—41no—
1479C22—41no—
1480C22—41no—
1481C22—41no—
1482C22—41no—
1483C22—41no—
1484C22—88no—
1485C22—88no—
1486C22—88no—
1487C22#297414yes—
1488C22C2×#51811yescharacteristic
1489C22C4×H(5,𝔽2)11yescharacteristic
1490C22C4×H(5,𝔽2)11yescharacteristic
1491C22C23×M1611yescharacteristic
1492C22C22×#13111yescharacteristic
1493C22#357311yescharacteristic
1494C22#357311yescharacteristic
1495C4—22no—
1496C4—22no—
1497C4—22no—
1498C4—22no—
1499C4—22no—
1500C4—22no—
1501C4—41no—
1502C4—41no—
1503C4—41no—
1504C4—41no—
1505C4—41no—
1506C4—41no—
1507C4—41no—
1508C4—41no—
1509C4—41no—
1510C4—41no—
1511C4—41no—
1512C4—41no—
1513C4—41no—
1514C4—41no—
1515C4—41no—
1516C4—41no—
1517C4—41no—
1518C4#353411yescharacteristic
1519C4#353411yescharacteristic
1520C4#354311yescharacteristic
1521C4#354511yescharacteristic
1522C2—24no—
1523C2—42no—
1524C2—42no—
1525C2—42no—
1526C2—81no—
1527C2—81no—
1528C2—81no—
1529C2#3440811yescharacteristic
1530C2C2×#297411yescharacteristic
1531C2#6023511yescharacteristic
1532C2#6030411yescharacteristic
1533C2#6031011yescharacteristic
1534C2#6032511yescharacteristic
1535C2#6032511yescharacteristic
subgroupG/H
center, Frattini, cosocleC22×C4C25
commutator, socleC23C24×C4
prime radicalC2×#534C4
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C22×C4 ◁ G
LECSG ▷ C22×C4 ▷ C2 ▷ C1

Complements

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

NH ≅ G/Ntype
2. #23329C2semidirect
3. #23327C2semidirect
4. #23320C2semidirect
5. #23308C2semidirect
6. #23298C2semidirect
7. #23088C2semidirect
8. #23085C2semidirect
9. #22848C2semidirect
10. #22848C2semidirect
11. #22848C2semidirect
12. #22846C2semidirect
13. #22846C2semidirect
14. #22554C2semidirect
15. #22552C2semidirect
16. #22399C2semidirect
17. D4×C22⋊C8C2semidirect
18. #22365C2semidirect
19. #22359C2semidirect
20. #22333C2semidirect
21. #22331C2semidirect
22. #22141C2semidirect
23. #22137C2semidirect
24. #22069C2semidirect
25. #22063C2semidirect
26. #22038C2semidirect
27. #22032C2semidirect
28. #21742C2semidirect
29. #21563C2semidirect
30. C8×#123C2semidirect
31. C2×#1954C2semidirect
35. C2×#436C22semidirect
36. C2×#436C22semidirect
39. C2×#435C22semidirect
40. C2×#435C22semidirect
43. C2×#432C22semidirect
44. C2×#431C22semidirect
45. C22×C4⋊C8C22semidirect
46. C2×#407C22semidirect
47. C2×#407C22semidirect
48. C2×#407C22semidirect
51. C22×C22⋊C8C22semidirect
52. C22×C22⋊C8C22semidirect
53. C22×C22⋊C8C22semidirect
54. C22×C4×C8C22semidirect
83. #1955C22semidirect
84. #1955C22semidirect
85. #1955C22semidirect
86. #1955C22semidirect
91. #1954C22semidirect
92. #1954C22semidirect
93. #1954C22semidirect
94. #1954C22semidirect
95. #1954C22semidirect
96. #1954C22semidirect
97. #1954C22semidirect
98. #1954C22semidirect
99. #1940C22semidirect
100. #1940C22semidirect
101. #1939C22semidirect
102. #1939C22semidirect
103. #1924C22semidirect
104. #1924C22semidirect
105. #1924C22semidirect
106. #1924C22semidirect
107. #1924C22semidirect
108. #1924C22semidirect
109. #1924C22semidirect
110. #1924C22semidirect
111. #1924C22semidirect
112. #1924C22semidirect
113. #1923C22semidirect
114. #1923C22semidirect
115. #1923C22semidirect
116. #1923C22semidirect
117. #1923C22semidirect
118. #1923C22semidirect
119. #1923C22semidirect
120. #1923C22semidirect
121. #1923C22semidirect
122. #1923C22semidirect
123. #1923C22semidirect
124. #1923C22semidirect
125. #1923C22semidirect
126. #1923C22semidirect
127. #1917C22semidirect
128. #1917C22semidirect
129. #1916C22semidirect
130. #1916C22semidirect
131. #1916C22semidirect
132. #1916C22semidirect
133. #1916C22semidirect
134. #1916C22semidirect
139. #1870C22semidirect
140. #1870C22semidirect
141. #1870C22semidirect
142. #1870C22semidirect
143. #1870C22semidirect
144. #1870C22semidirect
145. #1870C22semidirect
146. #1870C22semidirect
147. #1870C22semidirect
148. #1870C22semidirect
149. #1870C22semidirect
150. #1870C22semidirect
155. #1869C22semidirect
156. #1869C22semidirect
157. #1869C22semidirect
158. #1869C22semidirect
159. #1851C22semidirect
160. #1851C22semidirect
161. #1851C22semidirect
162. #1851C22semidirect
163. #1851C22semidirect
164. #1851C22semidirect
165. #1850C22semidirect
166. #1850C22semidirect
167. #1850C22semidirect
168. #1850C22semidirect
169. #1850C22semidirect
170. #1850C22semidirect
171. #1817C22semidirect
172. #1817C22semidirect
173. #1817C22semidirect
174. #1817C22semidirect
175. #1797C22semidirect
176. #1797C22semidirect
177. #1797C22semidirect
178. #1797C22semidirect
181. #1779C22semidirect
182. #1779C22semidirect
183. #1771C22semidirect
184. #1771C22semidirect
185. C8×C4⋊C4C22semidirect
186. C8×C4⋊C4C22semidirect
187. #1753C22semidirect
188. #1753C22semidirect
189. #1753C22semidirect
190. #1753C22semidirect
191. #1753C22semidirect
192. #1753C22semidirect
193. #1752C22semidirect
194. #1752C22semidirect
195. C8×C22⋊C4C22semidirect
196. C8×C22⋊C4C22semidirect
197. C8×C22⋊C4C22semidirect
198. C8×C22⋊C4C22semidirect
199. #1749C22semidirect
200. #1749C22semidirect
201. C4×C22⋊C8C22semidirect
202. C4×C22⋊C8C22semidirect
621. #123M16semidirect

Maximal subgroups

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

subgroupindex
C4×#5342
#233292
#233272
#233202
#233082
#232982
#230882
#230852
#228482
#228462
#225542
#225522
#223992
D4×C22⋊C82
#223652
#223592
#223332
#223312
#221412
#221372
#220692
#220632
#220382
#220322
#217422
#215632
C8×#1232
C2×#19542