Finite Group Databasebeta

← #6408577

Subgroups — #6408577

Order 512.

2077 conjugacy classes of subgroups.

The subgroup lattice has 1692 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#34936C211yesmaximal, characteristic
2#23357C211yesmaximal, characteristic, complemented
3#23356C211yesmaximal, characteristic, complemented
4#23356C211yesmaximal, characteristic, complemented
5#23356C211yesmaximal, characteristic, complemented
6#23178C211yesmaximal, characteristic, complemented
7#23178C211yesmaximal, characteristic, complemented
8#23178C211yesmaximal, characteristic, complemented
9#23177C211yesmaximal, characteristic, complemented
10#22403C211yesmaximal, characteristic, complemented
11#22402C211yesmaximal, characteristic, complemented
12#22401C211yesmaximal, characteristic, complemented
13#22400C211yesmaximal, characteristic, complemented
14#22400C211yesmaximal, characteristic, complemented
15#22400C211yesmaximal, characteristic, complemented
16#22399C211yesmaximal, characteristic, complemented
17#22398C211yesmaximal, characteristic, complemented
18#22267C211yesmaximal, characteristic, complemented
19#22267C211yesmaximal, characteristic, complemented
20#22266C211yesmaximal, characteristic, complemented
21#22266C211yesmaximal, characteristic, complemented
22#22265C211yesmaximal, characteristic, complemented
23#22264C211yesmaximal, characteristic, complemented
24#22263C211yesmaximal, characteristic, complemented
25#22262C211yesmaximal, characteristic, complemented
26#21744C211yesmaximal, characteristic, complemented
27#21744C211yesmaximal, characteristic, complemented
28#21743C211yesmaximal, characteristic, complemented
29#21741C211yesmaximal, characteristic, complemented
30#20785C211yesmaximal, characteristic, complemented
31#20784C211yesmaximal, characteristic, complemented
32C2×#532C2211yescharacteristic
33C2×#525C2211yescharacteristic
34C2×#525C2211yescharacteristic
35C2×#525C2211yescharacteristic
36C2×#525C2211yescharacteristic
37C22×C4×D4C2211yescharacteristic
38C2×#436C2211yescharacteristic
39C2×#436C2211yescharacteristic
40C2×#436C2211yescharacteristic, complemented
41C2×#436C2211yescharacteristic, complemented
42C2×#436C2211yescharacteristic, complemented
43C2×#436C2211yescharacteristic, complemented
44C2×#435C2211yescharacteristic
45C2×#435C2211yescharacteristic
46C2×#435C2211yescharacteristic, complemented
47C2×#435C2211yescharacteristic, complemented
48C2×#435C2211yescharacteristic, complemented
49C2×#435C2211yescharacteristic, complemented
50C2×#435C2211yescharacteristic, complemented
51C2×#435C2211yescharacteristic, complemented
52C2×C8×D4C2211yescharacteristic, complemented
53C2×C8×D4C2211yescharacteristic, complemented
54C2×#408C2211yescharacteristic
55C2×#408C2211yescharacteristic
56C2×#408C2211yescharacteristic
57C2×#408C2211yescharacteristic
58C2×#407C2211yescharacteristic
59C2×#407C2211yescharacteristic
60C2×#407C2211yescharacteristic
61C22×C22⋊C8C2211yescharacteristic
62#2542C411yescharacteristic
63#2542C411yescharacteristic
64#2541C411yescharacteristic
65#2541C411yescharacteristic
66#2540C411yescharacteristic
67#2540C411yescharacteristic
68#2540C411yescharacteristic
69#2540C411yescharacteristic
70#2539C411yescharacteristic
71#2539C411yescharacteristic
72#2539C411yescharacteristic
73#2539C411yescharacteristic
74#2501C411yescharacteristic
75#2501C411yescharacteristic
76#2433C411yescharacteristic
77#2433C411yescharacteristic
78#2397C2211yescharacteristic
79#2397C2211yescharacteristic
80#2397C2211yescharacteristic
81#2397C2211yescharacteristic
82C4×#127C2211yescharacteristic
83C4×#127C2211yescharacteristic
84C4×#127C2211yescharacteristic
85C4×#127C2211yescharacteristic
86C4×#117C2211yescharacteristic
87#1955C2211yescharacteristic
88#1955C2211yescharacteristic
89#1955C2211yescharacteristic, complemented
90#1955C2211yescharacteristic, complemented
91#1955C2211yescharacteristic, complemented
92#1955C2211yescharacteristic, complemented
93#1955C2211yescharacteristic, complemented
94#1955C2211yescharacteristic, complemented
95#1954C2211yescharacteristic
96#1954C2211yescharacteristic
97#1954C2211yescharacteristic, complemented
98#1954C2211yescharacteristic, complemented
99#1954C2211yescharacteristic, complemented
100#1954C2211yescharacteristic, complemented
101#1954C2211yescharacteristic, complemented
102#1954C2211yescharacteristic, complemented
103#1870C2211yescharacteristic
104#1870C2211yescharacteristic
105#1870C2211yescharacteristic
106#1870C2211yescharacteristic
107#1870C2211yescharacteristic
108#1870C2211yescharacteristic
109#1870C2211yescharacteristic, complemented
110#1870C2211yescharacteristic, complemented
111#1870C2211yescharacteristic, complemented
112#1870C2211yescharacteristic, complemented
113#1870C2211yescharacteristic, complemented
114#1870C2211yescharacteristic, complemented
115#1870C2211yescharacteristic, complemented
116#1870C2211yescharacteristic, complemented
117#1870C2211yescharacteristic, complemented
118#1870C2211yescharacteristic, complemented
119#1870C2211yescharacteristic, complemented
120#1870C2211yescharacteristic, complemented
121#1870C2211yescharacteristic, complemented
122#1870C2211yescharacteristic, complemented
123#1870C2211yescharacteristic, complemented
124#1870C2211yescharacteristic, complemented
125#1870C2211yescharacteristic, complemented
126#1870C2211yescharacteristic, complemented
127#1870C2211yescharacteristic, complemented
128#1870C2211yescharacteristic, complemented
129#1870C2211yescharacteristic, complemented
130#1870C2211yescharacteristic, complemented
131#1870C2211yescharacteristic, complemented
132#1870C2211yescharacteristic, complemented
133#1870C2211yescharacteristic, complemented
134#1870C2211yescharacteristic, complemented
135#1870C2211yescharacteristic, complemented
136#1870C2211yescharacteristic, complemented
137#1870C2211yescharacteristic, complemented
138#1870C2211yescharacteristic, complemented
139#1870C2211yescharacteristic, complemented
140#1870C2211yescharacteristic, complemented
141#1870C2211yescharacteristic, complemented
142#1870C2211yescharacteristic, complemented
143#1869C2211yescharacteristic
144#1869C2211yescharacteristic
145#1869C2211yescharacteristic, complemented
146#1869C2211yescharacteristic, complemented
147#1869C2211yescharacteristic, complemented
148#1869C2211yescharacteristic, complemented
149#1869C2211yescharacteristic, complemented
150#1869C2211yescharacteristic, complemented
151#1869C2211yescharacteristic, complemented
152#1869C2211yescharacteristic, complemented
153#1869C2211yescharacteristic, complemented
154#1869C2211yescharacteristic, complemented
155#1869C2211yescharacteristic, complemented
156#1869C2211yescharacteristic, complemented
157#1869C2211yescharacteristic, complemented
158#1869C2211yescharacteristic, complemented
159#1869C2211yescharacteristic, complemented
160#1869C2211yescharacteristic, complemented
161#1869C2211yescharacteristic, complemented
162#1869C2211yescharacteristic, complemented
163#1869C2211yescharacteristic, complemented
164#1869C2211yescharacteristic, complemented
165#1869C2211yescharacteristic, complemented
166#1869C2211yescharacteristic, complemented
167#1839C2211yescharacteristic, complemented
168#1839C2211yescharacteristic, complemented
169#1839C2211yescharacteristic, complemented
170#1839C2211yescharacteristic, complemented
171#1832C2211yescharacteristic, complemented
172#1832C2211yescharacteristic, complemented
173#1831C2211yescharacteristic, complemented
174#1831C2211yescharacteristic, complemented
175#1818C2211yescharacteristic
176#1818C2211yescharacteristic
177#1818C2211yescharacteristic
178#1818C2211yescharacteristic
179#1798C2211yescharacteristic
180#1798C2211yescharacteristic
181#1797C2211yescharacteristic
182#1797C2211yescharacteristic
183#1780C2211yescharacteristic
184#1780C2211yescharacteristic
185#1780C2211yescharacteristic
186#1780C2211yescharacteristic
187#1779C2211yescharacteristic
188#1779C2211yescharacteristic
189#1779C2211yescharacteristic
190#1779C2211yescharacteristic
191#1768C2211yescharacteristic, complemented
192#1768C2211yescharacteristic, complemented
193#1768C2211yescharacteristic, complemented
194#1768C2211yescharacteristic, complemented
195#1750C2211yescharacteristic
196#1750C2211yescharacteristic
197#1749C2211yescharacteristic
198C4×C22⋊C8C2211yescharacteristic
199#1746C2211yescharacteristic, complemented
200#1746C2211yescharacteristic, complemented
201#1745C2211yescharacteristic, complemented
202#1744C2211yescharacteristic, complemented
203C22×#41C2311yescharacteristic
204C22×#41C2311yescharacteristic
205C23×D4C2×C411yescharacteristic
206C24×C4C2311yescharacteristic
207C24×C4C2311yescharacteristic
208C22×M16C2311yescharacteristic
209C22×M16C2311yescharacteristic
210C22×M16C2311yescharacteristic
211C22×M16C2311yescharacteristic
212C22×M16C2311yescharacteristic
213C22×M16C2311yescharacteristic
214C22×M16C2311yescharacteristic
215C22×M16C2311yescharacteristic
216C22×M16C2311yescharacteristic
217C22×M16C2311yescharacteristic
218C23×C8C2311yescharacteristic
219C23×C8C2311yescharacteristic
220C23×C8C2311yescharacteristic
221C23×C8C2311yescharacteristic
222C23×C8C2311yescharacteristic
223C23×C8C2311yescharacteristic
224#532—42no—
225#532—42no—
226C2×C4⋊Q8C2×C411yescharacteristic
227C2×#127C2×C411yescharacteristic
228C2×#127C2×C411yescharacteristic
229C2×#127C2×C411yescharacteristic
230C2×#127C2×C411yescharacteristic
231C2×#127C2×C411yescharacteristic
232C2×#124C2×C411yescharacteristic
233C2×#124C2×C411yescharacteristic
234#525—42no—
235#525—42no—
236#525—42no—
237#525—42no—
238#525—42no—
239#525—42no—
240#525—42no—
241#525—42no—
242C2×#123C2×C411yescharacteristic
243C2×#123C2×C411yescharacteristic
244C2×#123C2×C411yescharacteristic
245C2×#123C2×C411yescharacteristic
246C2×#123C2×C411yescharacteristic
247C2×#123C2×C411yescharacteristic
248C2×#123C2×C411yescharacteristic
249C2×#123C2×C411yescharacteristic
250C2×C22⋊Q8C2×C411yescharacteristic
251C2×C22⋊Q8C2×C411yescharacteristic
252C2×C22⋊Q8C2×C411yescharacteristic
253C2×C22⋊Q8C2×C411yescharacteristic
254C2×C22⋊Q8C2×C411yescharacteristic
255C2×C22⋊Q8C2×C411yescharacteristic
256C2×C22⋊Q8C2×C411yescharacteristic
257C2×C22⋊Q8C2×C411yescharacteristic
258C2×#121C2×C411yescharacteristic
259C2×#121C2×C411yescharacteristic
260C2×#121C2×C411yescharacteristic
261C2×#121C2×C411yescharacteristic
262C2×#121C2×C411yescharacteristic
263C2×#121C2×C411yescharacteristic
264C2×#121C2×C411yescharacteristic
265C2×#121C2×C411yescharacteristic
266C2×#121C2×C411yescharacteristic
267C2×#121C2×C411yescharacteristic
268C2×#121C2×C411yescharacteristic
269C2×#121C2×C411yescharacteristic
270C2×#120C2×C411yescharacteristic
271C2×#120C2×C411yescharacteristic
272C2×#120C2×C411yescharacteristic
273C2×#120C2×C411yescharacteristic
274C2×#120C2×C411yescharacteristic
275C2×#120C2×C411yescharacteristic
276C2×#120C2×C411yescharacteristic
277C2×#120C2×C411yescharacteristic
278C2×C4×D4—42no—
279C2×C4×D4—42no—
280C2×C4×D4C2×C411yescharacteristic
281C2×C4×D4C2×C411yescharacteristic
282C2×C4×D4C2×C411yescharacteristic
283C2×C4×D4C2×C411yescharacteristic
284C2×C4×D4C2311yescharacteristic
285C2×C4×D4C2311yescharacteristic
286C2×C4×D4C2311yescharacteristic
287C2×C4×D4C2311yescharacteristic
288C2×C4×D4C2311yescharacteristic
289C2×C4×D4C2311yescharacteristic
290C2×C4×D4C2311yescharacteristic
291C2×C4×D4C2311yescharacteristic
292C2×C4×D4C2311yescharacteristic
293C2×C4×D4C2311yescharacteristic
294C2×C4×D4C2311yescharacteristic
295C2×C4×D4C2311yescharacteristic
296C2×C4×D4C2311yescharacteristic
297C2×C4×D4C2311yescharacteristic
298C2×C4×D4C2311yescharacteristic
299C2×C4×D4C2311yescharacteristic
300C2×C4×D4C2311yescharacteristic
301C2×C4×D4C2311yescharacteristic
302C2×C4×D4C2311yescharacteristic
303C2×C4×D4C2311yescharacteristic
304C2×C4×D4C2311yescharacteristic
305C2×C4×D4C2311yescharacteristic
306C2×C4×D4C2311yescharacteristic
307C2×C4×D4C2311yescharacteristic
308C2×#117C2311yescharacteristic
309C2×#117C2311yescharacteristic
310C22×C4⋊C4C2×C411yescharacteristic
311C22×C22⋊C4C2×C411yescharacteristic
312C22×C22⋊C4C2×C411yescharacteristic
313C22×C42C2311yescharacteristic
314#436—42no—
315#436—42no—
316#436—42no—
317#436—42no—
318#436—42no—
319#436—42no—
320#435—42no—
321#435—42no—
322#435—42no—
323#435—42no—
324#435—42no—
325#435—42no—
326#435—42no—
327#435—42no—
328C8×D4—42no—
329C8×D4—42no—
330C2×C4⋊C8C2311yescharacteristic
331C2×C4⋊C8C2311yescharacteristic
332C2×C4⋊C8C2311yescharacteristic
333C2×C4⋊C8C2311yescharacteristic
334C2×C4⋊C8C2311yescharacteristic
335C2×C4⋊C8C2311yescharacteristic
336C2×C4⋊C8C2311yescharacteristic
337C2×C4⋊C8C2311yescharacteristic
338#408—42no—
339#408—42no—
340#408—42no—
341#408—42no—
342#407—42no—
343#407—42no—
344#407—42no—
345C2×C22⋊C8—42no—
346C2×C22⋊C8C2311yescharacteristic
347C2×C22⋊C8C2311yescharacteristic
348C2×C22⋊C8C2311yescharacteristic
349C2×C22⋊C8C2311yescharacteristic
350C2×C22⋊C8C2311yescharacteristic
351C2×C22⋊C8C2311yescharacteristic
352C2×C22⋊C8C2311yescharacteristic
353C2×C22⋊C8C2311yescharacteristic
354C2×C22⋊C8C2311yescharacteristic
355C2×C22⋊C8C2311yescharacteristic
356C2×C22⋊C8C2311yescharacteristic
357C2×C22⋊C8C2311yescharacteristic
358C2×C22⋊C8C2311yescharacteristic
359C2×C22⋊C8C2311yescharacteristic
360C2×C22⋊C8C2311yescharacteristic
361C2×C22⋊C8C2311yescharacteristic
362C2×C22⋊C8C2311yescharacteristic
363C2×C22⋊C8C2311yescharacteristic
364C2×C22⋊C8C2311yescharacteristic
365C2×C22⋊C8C2311yescharacteristic
366C2×C22⋊C8C2311yescharacteristic
367C2×C22⋊C8C2311yescharacteristic
368C2×C22⋊C8C2311yescharacteristic
369C2×C22⋊C8C2311yescharacteristic
370C2×C22⋊C8C2311yescharacteristic
371C2×C22⋊C8C2311yescharacteristic
372C2×C22⋊C8C2311yescharacteristic
373C2×C22⋊C8C2311yescharacteristic
374C2×C22⋊C8C2311yescharacteristic
375C2×C22⋊C8C2311yescharacteristic
376C2×C22⋊C8C2311yescharacteristic
377C2×C22⋊C8C2311yescharacteristic
378C2×C22⋊C8C2311yescharacteristic
379C2×C22⋊C8C2311yescharacteristic
380C2×C22⋊C8C2311yescharacteristic
381C2×C22⋊C8C2311yescharacteristic
382C2×C22⋊C8C2311yescharacteristic
383C2×C22⋊C8C2311yescharacteristic
384C2×C22⋊C8C2311yescharacteristic
385C2×C22⋊C8C2311yescharacteristic
386C2×C22⋊C8C2311yescharacteristic
387C2×C22⋊C8C2311yescharacteristic
388C2×C22⋊C8C2311yescharacteristic
389C2×C22⋊C8C2311yescharacteristic
390C2×C22⋊C8C2311yescharacteristic
391C2×C22⋊C8C2311yescharacteristic
392C2×C22⋊C8C2311yescharacteristic
393C2×C22⋊C8C2311yescharacteristic
394C2×C22⋊C8C2311yescharacteristic
395C2×C22⋊C8C2311yescharacteristic
396C2×C22⋊C8C2311yescharacteristic
397C2×C22⋊C8C2311yescharacteristic
398C2×C22⋊C8C2311yescharacteristic
399C2×C22⋊C8C2311yescharacteristic
400C2×C22⋊C8C2311yescharacteristic
401C2×C22⋊C8C2311yescharacteristic
402C2×#97C2311yescharacteristic
403C2×#97C2311yescharacteristic
404C2×#97C2311yescharacteristic
405C2×#97C2311yescharacteristic
406C2×C4×C8C2311yescharacteristic
407C2×C4×C8C2311yescharacteristic
408C2×C4×C8C2311yescharacteristic
409C2×C4×C8C2311yescharacteristic
410#399C2×C411yescharacteristic
411#399C2×C411yescharacteristic
412#399C2×C411yescharacteristic
413#399C2×C411yescharacteristic
414#399C2×C411yescharacteristic
415#399C2×C411yescharacteristic
416#399C2×C411yescharacteristic
417#399C2×C411yescharacteristic
418#399C2×C411yescharacteristic
419#399C2×C411yescharacteristic
420#399C2×C411yescharacteristic
421#399C2×C411yescharacteristic
422#399C2×C411yescharacteristic
423#399C2×C411yescharacteristic
424#399C2×C411yescharacteristic
425#399C2×C411yescharacteristic
426#392C2×C411yescharacteristic
427#392C2×C411yescharacteristic
428#392C2×C411yescharacteristic
429#392C2×C411yescharacteristic
430#392C2×C411yescharacteristic
431#392C2×C411yescharacteristic
432#392C2×C411yescharacteristic
433#392C2×C411yescharacteristic
434#392C2×C411yescharacteristic
435#392C2×C411yescharacteristic
436#392C2×C411yescharacteristic
437#392C2×C411yescharacteristic
438#392C2×C411yescharacteristic
439#392C2×C411yescharacteristic
440#392C2×C411yescharacteristic
441#392C2×C411yescharacteristic
442#390C2×C411yescharacteristic
443#390C2×C411yescharacteristic
444#390C2×C411yescharacteristic
445#390C2×C411yescharacteristic
446#390C2×C411yescharacteristic
447#390C2×C411yescharacteristic
448#390C2×C411yescharacteristic
449#390C2×C411yescharacteristic
450#390C2×C411yescharacteristic
451#390C2×C411yescharacteristic
452#390C2×C411yescharacteristic
453#390C2×C411yescharacteristic
454#390C2×C411yescharacteristic
455#390C2×C411yescharacteristic
456#390C2×C411yescharacteristic
457#390C2×C411yescharacteristic
458#390C2×C411yescharacteristic
459#390C2×C411yescharacteristic
460#390C2×C411yescharacteristic
461#390C2×C411yescharacteristic
462#390C2×C411yescharacteristic
463#390C2×C411yescharacteristic
464#390C2×C411yescharacteristic
465#390C2×C411yescharacteristic
466#384C2×C411yescharacteristic
467#384C2×C411yescharacteristic
468#384C2×C411yescharacteristic
469#384C2×C411yescharacteristic
470C4×C4⋊C4C2×C411yescharacteristic
471C4×C4⋊C4C2×C411yescharacteristic
472C4×C4⋊C4C2×C411yescharacteristic
473C4×C4⋊C4C2×C411yescharacteristic
474C4×C22⋊C4C2×C411yescharacteristic
475C4×C22⋊C4C2×C411yescharacteristic
476C4×C22⋊C4C2×C411yescharacteristic
477C4×C22⋊C4C2×C411yescharacteristic
478#376C2311yescharacteristic
479#376C2311yescharacteristic
480C43C2311yescharacteristic
481C43C2311yescharacteristic
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
503#336C2311yescharacteristic
504#336C2311yescharacteristic
505#336C2311yescharacteristic
506#336C2311yescharacteristic
507#336C2311yescharacteristic
508#336C2311yescharacteristic
509#336C2311yescharacteristic
510#336C2311yescharacteristic
511#336C2311yescharacteristic
512#336C2311yescharacteristic
513#336C2311yescharacteristic
514C25C22×C411yescharacteristic
515C25C22×C411yescharacteristic
516C2×#41—22no—
517C2×#41—22no—
518C2×#41—22no—
519C2×#41—22no—
520C2×#41—41no—
521C2×#41—41no—
522C2×#41—41no—
523C2×#41—41no—
524C2×#41—41no—
525C2×#41—41no—
526C2×#41—41no—
527C2×#41—41no—
528C22×Q8C22×C411yescharacteristic
529C22×Q8C22×C411yescharacteristic
530C22×D4—42no—
531C22×D4—42no—
532C22×D4—42no—
533C22×D4C22×C411yescharacteristic
534C22×D4C22×C411yescharacteristic
535C22×D4C22×C411yescharacteristic
536C22×D4C22×C411yescharacteristic
537C22×D4C22×C411yescharacteristic
538C22×D4C22×C411yescharacteristic
539C22×D4C22×C411yescharacteristic
540C22×D4C22×C411yescharacteristic
541C22×D4C22×C411yescharacteristic
542C22×D4C22×C411yescharacteristic
543C22×D4C22×C411yescharacteristic
544C22×D4C22×C411yescharacteristic
545C22×D4C22×C411yescharacteristic
546C22×D4C22×C411yescharacteristic
547C22×D4C22×C411yescharacteristic
548C22×D4C22×C411yescharacteristic
549C22×D4C22×C411yescharacteristic
550C22×D4C22×C411yescharacteristic
551C22×D4C22×C411yescharacteristic
552C22×D4C22×C411yescharacteristic
553C22×D4C22×C411yescharacteristic
554C22×D4C22×C411yescharacteristic
555C22×D4C22×C411yescharacteristic
556C22×D4C22×C411yescharacteristic
557C22×D4C22×C411yescharacteristic
558C22×D4C22×C411yescharacteristic
559C22×D4C22×C411yescharacteristic
560C22×D4C22×C411yescharacteristic
561C22×D4C22×C411yescharacteristic
562C22×D4C22×C411yescharacteristic
563C23×C4—22no—
564C23×C4—22no—
565C23×C4—22no—
566C23×C4—22no—
567C23×C4—41no—
568C23×C4—41no—
569C23×C4—41no—
570C23×C4—41no—
571C23×C4—41no—
572C23×C4—41no—
573C23×C4—41no—
574C23×C4—41no—
575C23×C4C22×C411yescharacteristic
576C23×C4C22×C411yescharacteristic
577C23×C4C22×C411yescharacteristic
578C23×C4C22×C411yescharacteristic
579C23×C4C22×C411yescharacteristic
580C23×C4C22×C411yescharacteristic
581C23×C4C22×C411yescharacteristic
582C23×C4C22×C411yescharacteristic
583C23×C4C2411yescharacteristic
584C23×C4C2411yescharacteristic
585C23×C4C2411yescharacteristic
586C23×C4C2411yescharacteristic
587C23×C4C2411yescharacteristic
588C23×C4C2411yescharacteristic
589C23×C4C2411yescharacteristic
590C23×C4C2411yescharacteristic
591C23×C4C2411yescharacteristic
592C2×M16—41no—
593C2×M16—41no—
594C2×M16—41no—
595C2×M16—41no—
596C2×M16—41no—
597C2×M16—41no—
598C2×M16—41no—
599C2×M16—41no—
600C2×M16—41no—
601C2×M16—41no—
602C2×M16—41no—
603C2×M16—41no—
604C2×M16—41no—
605C2×M16—41no—
606C2×M16—41no—
607C2×M16—41no—
608C2×M16—41no—
609C2×M16—41no—
610C2×M16—41no—
611C2×M16—41no—
612C2×M16—41no—
613C2×M16—41no—
614C2×M16—41no—
615C2×M16—41no—
616C2×M16—41no—
617C2×M16—41no—
618C2×M16—41no—
619C2×M16—41no—
620C2×M16—41no—
621C2×M16—41no—
622C22×C8—41no—
623C22×C8—41no—
624C22×C8—41no—
625C22×C8—41no—
626C22×C8—41no—
627C22×C8—41no—
628C22×C8—41no—
629C22×C8—41no—
630C22×C8—41no—
631C22×C8—41no—
632C22×C8—41no—
633C22×C8—41no—
634C22×C8—41no—
635C22×C8—41no—
636C22×C8—41no—
637C22×C8—41no—
638C22×C8—41no—
639C22×C8—41no—
640C22×C8C2411yescharacteristic
641C22×C8C2411yescharacteristic
642C22×C8C2411yescharacteristic
643C22×C8C2411yescharacteristic
644C22×C8C2411yescharacteristic
645C22×C8C2411yescharacteristic
646C22×C8C2411yescharacteristic
647C22×C8C2411yescharacteristic
648C22×C8C2411yescharacteristic
649C22×C8C2411yescharacteristic
650C22×C8C2411yescharacteristic
651C22×C8C2411yescharacteristic
652C22×C8C2411yescharacteristic
653C22×C8C2411yescharacteristic
654C22×C8C2411yescharacteristic
655C22×C8C2411yescharacteristic
656C4⋊Q8—42no—
657#127—42no—
658#127—42no—
659#127—42no—
660#127—42no—
661#127—42no—
662#124—42no—
663#124—42no—
664#123—42no—
665#123—42no—
666#123—42no—
667#123—42no—
668#123—42no—
669#123—42no—
670#123—42no—
671#123—42no—
672C22⋊Q8—42no—
673C22⋊Q8—42no—
674C22⋊Q8—42no—
675C22⋊Q8—42no—
676C22⋊Q8—42no—
677C22⋊Q8—42no—
678C22⋊Q8—42no—
679C22⋊Q8—42no—
680#121—42no—
681#121—42no—
682#121—42no—
683#121—42no—
684#121—42no—
685#121—42no—
686#121—42no—
687#121—42no—
688#121—42no—
689#121—42no—
690#121—42no—
691#121—42no—
692#120—42no—
693#120—42no—
694#120—42no—
695#120—42no—
696#120—42no—
697#120—42no—
698#120—42no—
699#120—42no—
700C4×D4—22no—
701C4×D4—22no—
702C4×D4—22no—
703C4×D4—22no—
704C4×D4—22no—
705C4×D4—22no—
706C4×D4—22no—
707C4×D4—22no—
708C4×D4—22no—
709C4×D4—22no—
710C4×D4—22no—
711C4×D4—22no—
712C4×D4—22no—
713C4×D4—22no—
714C4×D4—22no—
715C4×D4—22no—
716C4×D4—42no—
717C4×D4—42no—
718C4×D4—42no—
719C4×D4—42no—
720C4×D4—41no—
721C4×D4—41no—
722C4×D4—41no—
723C4×D4—41no—
724C4×D4—41no—
725C4×D4—41no—
726C4×D4—41no—
727C4×D4—41no—
728C4×D4—41no—
729C4×D4—41no—
730C4×D4—41no—
731C4×D4—41no—
732C4×D4—41no—
733C4×D4—41no—
734C4×D4—41no—
735C4×D4—41no—
736C4×D4—41no—
737C4×D4—41no—
738C4×D4—41no—
739C4×D4—41no—
740C4×D4—41no—
741C4×D4—41no—
742C4×D4—41no—
743C4×D4—41no—
744C4×D4—41no—
745C4×D4—41no—
746C4×D4—41no—
747C4×D4—41no—
748C4×D4—41no—
749C4×D4—41no—
750C4×D4—41no—
751C4×D4—41no—
752#117—22no—
753#117—22no—
754#117—22no—
755#117—22no—
756C2×C4⋊C4—42no—
757C2×C4⋊C4C22×C411yescharacteristic
758C2×C4⋊C4C22×C411yescharacteristic
759C2×C4⋊C4C22×C411yescharacteristic
760C2×C4⋊C4C22×C411yescharacteristic
761C2×C4⋊C4C22×C411yescharacteristic
762C2×C4⋊C4C22×C411yescharacteristic
763C2×C4⋊C4C22×C411yescharacteristic
764C2×C4⋊C4C22×C411yescharacteristic
765C2×C4⋊C4C22×C411yescharacteristic
766C2×C4⋊C4C22×C411yescharacteristic
767C2×C4⋊C4C22×C411yescharacteristic
768C2×C4⋊C4C22×C411yescharacteristic
769C2×C4⋊C4C22×C411yescharacteristic
770C2×C4⋊C4C22×C411yescharacteristic
771C2×C4⋊C4C22×C411yescharacteristic
772C2×C4⋊C4C22×C411yescharacteristic
773C2×C4⋊C4C22×C411yescharacteristic
774C2×C4⋊C4C22×C411yescharacteristic
775C2×C4⋊C4C22×C411yescharacteristic
776C2×C4⋊C4C22×C411yescharacteristic
777C2×C4⋊C4C22×C411yescharacteristic
778C2×C4⋊C4C22×C411yescharacteristic
779C2×C4⋊C4C22×C411yescharacteristic
780C2×C4⋊C4C22×C411yescharacteristic
781C2×C4⋊C4C22×C411yescharacteristic
782C2×C4⋊C4C22×C411yescharacteristic
783C2×C4⋊C4C22×C411yescharacteristic
784C2×C4⋊C4C22×C411yescharacteristic
785C2×C22⋊C4—42no—
786C2×C22⋊C4—42no—
787C2×C22⋊C4C22×C411yescharacteristic
788C2×C22⋊C4C22×C411yescharacteristic
789C2×C22⋊C4C22×C411yescharacteristic
790C2×C22⋊C4C22×C411yescharacteristic
791C2×C22⋊C4C22×C411yescharacteristic
792C2×C22⋊C4C22×C411yescharacteristic
793C2×C22⋊C4C22×C411yescharacteristic
794C2×C22⋊C4C22×C411yescharacteristic
795C2×C22⋊C4C22×C411yescharacteristic
796C2×C22⋊C4C22×C411yescharacteristic
797C2×C22⋊C4C22×C411yescharacteristic
798C2×C22⋊C4C22×C411yescharacteristic
799C2×C22⋊C4C22×C411yescharacteristic
800C2×C22⋊C4C22×C411yescharacteristic
801C2×C22⋊C4C22×C411yescharacteristic
802C2×C22⋊C4C22×C411yescharacteristic
803C2×C22⋊C4C22×C411yescharacteristic
804C2×C22⋊C4C22×C411yescharacteristic
805C2×C22⋊C4C22×C411yescharacteristic
806C2×C22⋊C4C22×C411yescharacteristic
807C2×C22⋊C4C22×C411yescharacteristic
808C2×C22⋊C4C22×C411yescharacteristic
809C2×C22⋊C4C22×C411yescharacteristic
810C2×C22⋊C4C22×C411yescharacteristic
811C2×C22⋊C4C22×C411yescharacteristic
812C2×C22⋊C4C22×C411yescharacteristic
813C2×C22⋊C4C22×C411yescharacteristic
814C2×C22⋊C4C22×C411yescharacteristic
815C2×C22⋊C4C22×C411yescharacteristic
816C2×C22⋊C4C22×C411yescharacteristic
817C2×C22⋊C4C22×C411yescharacteristic
818C2×C22⋊C4C22×C411yescharacteristic
819C2×C22⋊C4C22×C411yescharacteristic
820C2×C22⋊C4C22×C411yescharacteristic
821C2×C22⋊C4C22×C411yescharacteristic
822C2×C22⋊C4C22×C411yescharacteristic
823C2×C22⋊C4C22×C411yescharacteristic
824C2×C22⋊C4C22×C411yescharacteristic
825C2×C22⋊C4C22×C411yescharacteristic
826C2×C22⋊C4C22×C411yescharacteristic
827C2×C22⋊C4C22×C411yescharacteristic
828C2×C22⋊C4C22×C411yescharacteristic
829C2×C22⋊C4C22×C411yescharacteristic
830C2×C22⋊C4C22×C411yescharacteristic
831C2×C22⋊C4C22×C411yescharacteristic
832C2×C22⋊C4C22×C411yescharacteristic
833C2×C22⋊C4C22×C411yescharacteristic
834C2×C22⋊C4C22×C411yescharacteristic
835C2×C22⋊C4C22×C411yescharacteristic
836C2×C22⋊C4C22×C411yescharacteristic
837C2×C22⋊C4C22×C411yescharacteristic
838C2×C22⋊C4C22×C411yescharacteristic
839C2×C42—22no—
840C2×C42—22no—
841C2×C42C22×C411yescharacteristic
842C2×C42C22×C411yescharacteristic
843C2×C42C22×C411yescharacteristic
844C2×C42C22×C411yescharacteristic
845C2×C42C22×C411yescharacteristic
846C2×C42C22×C411yescharacteristic
847C2×C42C22×C411yescharacteristic
848C2×C42C22×C411yescharacteristic
849C2×C42C22×C411yescharacteristic
850C2×C42C22×C411yescharacteristic
851C2×C42C2411yescharacteristic
852C2×C42C2411yescharacteristic
853C2×C42C2411yescharacteristic
854C2×C42C2411yescharacteristic
855C2×C42C2411yescharacteristic
856C2×C42C2411yescharacteristic
857C4⋊C8—22no—
858C4⋊C8—22no—
859C4⋊C8—22no—
860C4⋊C8—22no—
861C4⋊C8—22no—
862C4⋊C8—22no—
863C4⋊C8—22no—
864C4⋊C8—22no—
865C22⋊C8—22no—
866C22⋊C8—22no—
867C22⋊C8—22no—
868C22⋊C8—22no—
869C22⋊C8—22no—
870C22⋊C8—22no—
871C22⋊C8—22no—
872C22⋊C8—22no—
873C22⋊C8—41no—
874C22⋊C8—41no—
875C22⋊C8—41no—
876C22⋊C8—41no—
877C22⋊C8—41no—
878C22⋊C8—41no—
879C22⋊C8—41no—
880C22⋊C8—41no—
881C22⋊C8—41no—
882C22⋊C8—41no—
883C22⋊C8—41no—
884C22⋊C8—41no—
885C22⋊C8—41no—
886C22⋊C8—41no—
887C22⋊C8—41no—
888C22⋊C8—41no—
889C22⋊C8—41no—
890C22⋊C8—41no—
891C22⋊C8—41no—
892C22⋊C8—41no—
893C22⋊C8—41no—
894C22⋊C8—41no—
895C22⋊C8—41no—
896C22⋊C8—41no—
897C22⋊C8—41no—
898C22⋊C8—41no—
899C22⋊C8—41no—
900C22⋊C8—41no—
901C22⋊C8—41no—
902C22⋊C8—41no—
903C22⋊C8—41no—
904C22⋊C8—41no—
905C22⋊C8—41no—
906C22⋊C8—41no—
907C22⋊C8—41no—
908C22⋊C8—41no—
909C22⋊C8—41no—
910C22⋊C8—41no—
911C22⋊C8—41no—
912C22⋊C8—41no—
913C22⋊C8—41no—
914C22⋊C8—41no—
915C22⋊C8—41no—
916C22⋊C8—41no—
917C22⋊C8—41no—
918C22⋊C8—41no—
919C22⋊C8—41no—
920C22⋊C8—41no—
921#97—22no—
922#97—22no—
923#97—22no—
924#97—22no—
925C4×C8—22no—
926C4×C8—22no—
927C4×C8—22no—
928C4×C8—22no—
929#95C22×C411yescharacteristic
930#95C22×C411yescharacteristic
931#95C22×C411yescharacteristic
932#95C22×C411yescharacteristic
933#95C22×C411yescharacteristic
934#95C22×C411yescharacteristic
935#95C22×C411yescharacteristic
936#95C22×C411yescharacteristic
937C24—22no—
938C24—22no—
939C24—22no—
940C24—41no—
941C24—41no—
942C24—41no—
943C24—41no—
944C24—41no—
945C24—41no—
946C24—41no—
947C24—41no—
948C24—41no—
949C24—41no—
950C24—41no—
951C24C23×C411yescharacteristic
952C24C23×C411yescharacteristic
953C24C23×C411yescharacteristic
954C24C23×C411yescharacteristic
955C24C23×C411yescharacteristic
956C24C23×C411yescharacteristic
957C24C23×C411yescharacteristic
958C24C23×C411yescharacteristic
959C24C23×C411yescharacteristic
960#41—82no—
961#41—82no—
962#41—82no—
963#41—82no—
964#41—82no—
965#41—82no—
966#41—82no—
967#41—82no—
968C2×Q8—22no—
969C2×Q8—22no—
970C2×Q8—41no—
971C2×Q8—41no—
972C2×Q8—41no—
973C2×Q8—41no—
974C2×D4—22no—
975C2×D4—22no—
976C2×D4—22no—
977C2×D4—22no—
978C2×D4—22no—
979C2×D4—22no—
980C2×D4—22no—
981C2×D4—22no—
982C2×D4—22no—
983C2×D4—22no—
984C2×D4—22no—
985C2×D4—22no—
986C2×D4—22no—
987C2×D4—22no—
988C2×D4—22no—
989C2×D4—22no—
990C2×D4—22no—
991C2×D4—22no—
992C2×D4—22no—
993C2×D4—22no—
994C2×D4—22no—
995C2×D4—22no—
996C2×D4—22no—
997C2×D4—22no—
998C2×D4—41no—
999C2×D4—41no—
1000C2×D4—41no—
1001C2×D4—41no—
1002C2×D4—41no—
1003C2×D4—41no—
1004C2×D4—41no—
1005C2×D4—41no—
1006C2×D4—41no—
1007C2×D4—41no—
1008C2×D4—41no—
1009C2×D4—41no—
1010C2×D4—41no—
1011C2×D4—41no—
1012C2×D4—41no—
1013C2×D4—41no—
1014C2×D4—41no—
1015C2×D4—41no—
1016C2×D4—41no—
1017C2×D4—41no—
1018C2×D4—41no—
1019C2×D4—41no—
1020C2×D4—41no—
1021C2×D4—41no—
1022C2×D4—41no—
1023C2×D4—41no—
1024C2×D4—41no—
1025C2×D4—41no—
1026C2×D4—41no—
1027C2×D4—41no—
1028C2×D4—41no—
1029C2×D4—41no—
1030C2×D4—41no—
1031C2×D4—41no—
1032C2×D4—41no—
1033C2×D4—41no—
1034C2×D4—41no—
1035C2×D4—41no—
1036C2×D4—41no—
1037C2×D4—41no—
1038C2×D4—41no—
1039C2×D4—41no—
1040C2×D4—41no—
1041C2×D4—41no—
1042C2×D4—41no—
1043C2×D4—41no—
1044C2×D4—41no—
1045C2×D4—41no—
1046C2×D4—41no—
1047C2×D4—41no—
1048C2×D4—41no—
1049C2×D4—41no—
1050C2×D4—41no—
1051C2×D4—41no—
1052C2×D4—41no—
1053C2×D4—41no—
1054C2×D4—41no—
1055C2×D4—41no—
1056C2×D4—41no—
1057C2×D4—41no—
1058C2×D4—41no—
1059C2×D4—41no—
1060C2×D4—41no—
1061C2×D4—41no—
1062C2×D4—41no—
1063C2×D4—41no—
1064C2×D4—416no—
1065C22×C4—21no—
1066C22×C4—21no—
1067C22×C4—21no—
1068C22×C4—21no—
1069C22×C4—22no—
1070C22×C4—22no—
1071C22×C4—22no—
1072C22×C4—22no—
1073C22×C4—21no—
1074C22×C4—21no—
1075C22×C4—21no—
1076C22×C4—21no—
1077C22×C4—21no—
1078C22×C4—21no—
1079C22×C4—21no—
1080C22×C4—21no—
1081C22×C4—21no—
1082C22×C4—21no—
1083C22×C4—21no—
1084C22×C4—21no—
1085C22×C4—21no—
1086C22×C4—21no—
1087C22×C4—21no—
1088C22×C4—21no—
1089C22×C4—21no—
1090C22×C4—21no—
1091C22×C4—21no—
1092C22×C4—21no—
1093C22×C4—21no—
1094C22×C4—21no—
1095C22×C4—21no—
1096C22×C4—21no—
1097C22×C4—21no—
1098C22×C4—21no—
1099C22×C4—21no—
1100C22×C4—21no—
1101C22×C4—21no—
1102C22×C4—21no—
1103C22×C4—21no—
1104C22×C4—21no—
1105C22×C4—21no—
1106C22×C4—21no—
1107C22×C4—21no—
1108C22×C4—21no—
1109C22×C4—21no—
1110C22×C4—21no—
1111C22×C4—21no—
1112C22×C4—21no—
1113C22×C4—21no—
1114C22×C4—21no—
1115C22×C4—21no—
1116C22×C4—21no—
1117C22×C4—21no—
1118C22×C4—21no—
1119C22×C4—21no—
1120C22×C4—21no—
1121C22×C4—22no—
1122C22×C4—22no—
1123C22×C4—22no—
1124C22×C4—22no—
1125C22×C4—22no—
1126C22×C4—41no—
1127C22×C4—41no—
1128C22×C4—41no—
1129C22×C4—41no—
1130C22×C4—41no—
1131C22×C4—41no—
1132C22×C4—41no—
1133C22×C4—41no—
1134C22×C4—41no—
1135C22×C4—41no—
1136C22×C4—41no—
1137C22×C4—41no—
1138C22×C4—41no—
1139C22×C4—41no—
1140C22×C4—41no—
1141C22×C4—82no—
1142C22×C4—82no—
1143C22×C4—82no—
1144C22×C4—82no—
1145C22×C4—82no—
1146C22×C4—82no—
1147C22×C4—82no—
1148C22×C4—82no—
1149C22×C4C23×C411yescharacteristic
1150C22×C4C23×C411yescharacteristic
1151C22×C4C23×C411yescharacteristic
1152C22×C4C23×C411yescharacteristic
1153C22×C4C23×C411yescharacteristic
1154C22×C4C23×C411yescharacteristic
1155C22×C4C23×C411yescharacteristic
1156C22×C4C23×C411yescharacteristic
1157C22×C4C23×C411yescharacteristic
1158C22×C4C23×C411yescharacteristic
1159C22×C4C23×C411yescharacteristic
1160C22×C4C23×C411yescharacteristic
1161C22×C4C23×C411yescharacteristic
1162C22×C4C23×C411yescharacteristic
1163C22×C4C23×C411yescharacteristic
1164C22×C4C23×C411yescharacteristic
1165C22×C4C23×C411yescharacteristic
1166C22×C4C23×C411yescharacteristic
1167C22×C4C23×C411yescharacteristic
1168C22×C4C23×C411yescharacteristic
1169C22×C4C23×C411yescharacteristic
1170C22×C4H(5,𝔽2)12yes—
1171C22×C4H(5,𝔽2)12yes—
1172C22×C4C2511yescharacteristic
1173M16—82no—
1174M16—82no—
1175M16—82no—
1176M16—82no—
1177M16—82no—
1178M16—82no—
1179M16—82no—
1180M16—82no—
1181M16—82no—
1182M16—82no—
1183C2×C8—21no—
1184C2×C8—21no—
1185C2×C8—21no—
1186C2×C8—21no—
1187C2×C8—21no—
1188C2×C8—21no—
1189C2×C8—21no—
1190C2×C8—21no—
1191C2×C8—21no—
1192C2×C8—21no—
1193C2×C8—21no—
1194C2×C8—21no—
1195C2×C8—21no—
1196C2×C8—21no—
1197C2×C8—21no—
1198C2×C8—21no—
1199C2×C8—21no—
1200C2×C8—21no—
1201C2×C8—21no—
1202C2×C8—21no—
1203C2×C8—21no—
1204C2×C8—21no—
1205C2×C8—21no—
1206C2×C8—21no—
1207C2×C8—21no—
1208C2×C8—21no—
1209C2×C8—21no—
1210C2×C8—21no—
1211C2×C8—21no—
1212C2×C8—21no—
1213C2×C8—21no—
1214C2×C8—21no—
1215C2×C8—21no—
1216C2×C8—21no—
1217C2×C8—21no—
1218C2×C8—21no—
1219C2×C8—21no—
1220C2×C8—21no—
1221C2×C8—21no—
1222C2×C8—21no—
1223C2×C8—21no—
1224C2×C8—21no—
1225C2×C8—21no—
1226C2×C8—21no—
1227C2×C8—21no—
1228C2×C8—21no—
1229C2×C8—21no—
1230C2×C8—21no—
1231C2×C8—82no—
1232C2×C8—82no—
1233C2×C8—82no—
1234C2×C8—82no—
1235C2×C8—82no—
1236C2×C8—82no—
1237C4⋊C4—22no—
1238C4⋊C4—22no—
1239C4⋊C4—22no—
1240C4⋊C4—22no—
1241C4⋊C4—22no—
1242C4⋊C4—22no—
1243C4⋊C4—22no—
1244C4⋊C4—22no—
1245C4⋊C4—22no—
1246C4⋊C4—22no—
1247C4⋊C4—22no—
1248C4⋊C4—22no—
1249C4⋊C4—41no—
1250C4⋊C4—41no—
1251C4⋊C4—41no—
1252C4⋊C4—41no—
1253C4⋊C4—41no—
1254C4⋊C4—41no—
1255C4⋊C4—41no—
1256C4⋊C4—41no—
1257C4⋊C4—41no—
1258C4⋊C4—41no—
1259C4⋊C4—41no—
1260C4⋊C4—41no—
1261C4⋊C4—41no—
1262C4⋊C4—41no—
1263C4⋊C4—41no—
1264C4⋊C4—41no—
1265C22⋊C4—22no—
1266C22⋊C4—22no—
1267C22⋊C4—22no—
1268C22⋊C4—22no—
1269C22⋊C4—22no—
1270C22⋊C4—22no—
1271C22⋊C4—22no—
1272C22⋊C4—22no—
1273C22⋊C4—22no—
1274C22⋊C4—22no—
1275C22⋊C4—22no—
1276C22⋊C4—22no—
1277C22⋊C4—22no—
1278C22⋊C4—22no—
1279C22⋊C4—22no—
1280C22⋊C4—22no—
1281C22⋊C4—22no—
1282C22⋊C4—22no—
1283C22⋊C4—22no—
1284C22⋊C4—22no—
1285C22⋊C4—41no—
1286C22⋊C4—41no—
1287C22⋊C4—41no—
1288C22⋊C4—41no—
1289C22⋊C4—41no—
1290C22⋊C4—41no—
1291C22⋊C4—41no—
1292C22⋊C4—41no—
1293C22⋊C4—41no—
1294C22⋊C4—41no—
1295C22⋊C4—41no—
1296C22⋊C4—41no—
1297C22⋊C4—41no—
1298C22⋊C4—41no—
1299C22⋊C4—41no—
1300C22⋊C4—41no—
1301C22⋊C4—41no—
1302C22⋊C4—41no—
1303C22⋊C4—41no—
1304C22⋊C4—41no—
1305C22⋊C4—41no—
1306C22⋊C4—41no—
1307C22⋊C4—41no—
1308C22⋊C4—41no—
1309C22⋊C4—41no—
1310C22⋊C4—41no—
1311C22⋊C4—41no—
1312C22⋊C4—41no—
1313C22⋊C4—41no—
1314C22⋊C4—41no—
1315C22⋊C4—41no—
1316C22⋊C4—41no—
1317C42—22no—
1318C42—22no—
1319C42—22no—
1320C42—22no—
1321C42—21no—
1322C42—21no—
1323C42—21no—
1324C42—21no—
1325C42—21no—
1326C42—21no—
1327C42—21no—
1328C42—21no—
1329C42—41no—
1330C42—41no—
1331C42—41no—
1332C42—41no—
1333C42—41no—
1334C42—41no—
1335C42H(5,𝔽2)12yes—
1336C42H(5,𝔽2)12yes—
1337C42H(5,𝔽2)12yes—
1338C42H(5,𝔽2)12yes—
1339C23—21no—
1340C23—21no—
1341C23—21no—
1342C23—21no—
1343C23—21no—
1344C23—21no—
1345C23—21no—
1346C23—21no—
1347C23—21no—
1348C23—21no—
1349C23—21no—
1350C23—21no—
1351C23—21no—
1352C23—21no—
1353C23—21no—
1354C23—21no—
1355C23—21no—
1356C23—21no—
1357C23—21no—
1358C23—21no—
1359C23—21no—
1360C23—21no—
1361C23—21no—
1362C23—21no—
1363C23—21no—
1364C23—21no—
1365C23—21no—
1366C23—21no—
1367C23—21no—
1368C23—21no—
1369C23—21no—
1370C23—21no—
1371C23—21no—
1372C23—21no—
1373C23—21no—
1374C23—21no—
1375C23—21no—
1376C23—21no—
1377C23—21no—
1378C23—21no—
1379C23—21no—
1380C23—21no—
1381C23—21no—
1382C23—21no—
1383C23—21no—
1384C23—21no—
1385C23—21no—
1386C23—21no—
1387C23—21no—
1388C23—21no—
1389C23—21no—
1390C23—21no—
1391C23—21no—
1392C23—21no—
1393C23—21no—
1394C23—21no—
1395C23—21no—
1396C23—21no—
1397C23—21no—
1398C23—21no—
1399C23—21no—
1400C23—44no—
1401C23—44no—
1402C23—44no—
1403C23—82no—
1404C23—82no—
1405C23—82no—
1406C23—82no—
1407C23—82no—
1408C23—82no—
1409C23—82no—
1410C23—82no—
1411C23—82no—
1412C23—82no—
1413C23—82no—
1414C23#51812yes—
1415C23#56812yes—
1416C23C24×C411yescharacteristic
1417Q8—82no—
1418Q8—82no—
1419D4—44no—
1420D4—44no—
1421D4—44no—
1422D4—44no—
1423D4—44no—
1424D4—44no—
1425D4—82no—
1426D4—82no—
1427D4—82no—
1428D4—82no—
1429D4—82no—
1430D4—82no—
1431D4—82no—
1432D4—82no—
1433D4—82no—
1434D4—82no—
1435D4—82no—
1436D4—82no—
1437D4—82no—
1438D4—82no—
1439D4—82no—
1440D4—82no—
1441D4—82no—
1442D4—82no—
1443D4—82no—
1444D4—82no—
1445D4—82no—
1446D4—82no—
1447D4—82no—
1448D4—82no—
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—22no—
1462C2×C4—22no—
1463C2×C4—22no—
1464C2×C4—22no—
1465C2×C4—21no—
1466C2×C4—21no—
1467C2×C4—21no—
1468C2×C4—21no—
1469C2×C4—21no—
1470C2×C4—21no—
1471C2×C4—21no—
1472C2×C4—21no—
1473C2×C4—21no—
1474C2×C4—21no—
1475C2×C4—21no—
1476C2×C4—21no—
1477C2×C4—21no—
1478C2×C4—21no—
1479C2×C4—21no—
1480C2×C4—21no—
1481C2×C4—21no—
1482C2×C4—21no—
1483C2×C4—21no—
1484C2×C4—21no—
1485C2×C4—21no—
1486C2×C4—21no—
1487C2×C4—21no—
1488C2×C4—21no—
1489C2×C4—21no—
1490C2×C4—21no—
1491C2×C4—21no—
1492C2×C4—21no—
1493C2×C4—21no—
1494C2×C4—21no—
1495C2×C4—21no—
1496C2×C4—21no—
1497C2×C4—21no—
1498C2×C4—21no—
1499C2×C4—21no—
1500C2×C4—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—44no—
1511C2×C4—41no—
1512C2×C4—41no—
1513C2×C4—41no—
1514C2×C4—41no—
1515C2×C4—41no—
1516C2×C4—41no—
1517C2×C4—41no—
1518C2×C4—41no—
1519C2×C4—41no—
1520C2×C4—41no—
1521C2×C4—41no—
1522C2×C4—41no—
1523C2×C4—41no—
1524C2×C4—41no—
1525C2×C4—41no—
1526C2×C4—41no—
1527C2×C4—41no—
1528C2×C4—41no—
1529C2×C4—41no—
1530C2×C4—41no—
1531C2×C4—41no—
1532C2×C4—41no—
1533C2×C4—41no—
1534C2×C4—41no—
1535C2×C4—41no—
1536C2×C4—41no—
1537C2×C4—41no—
1538C2×C4—41no—
1539C2×C4—41no—
1540C2×C4—41no—
1541C2×C4—41no—
1542C2×C4—41no—
1543C2×C4—82no—
1544C2×C4—82no—
1545C2×C4—82no—
1546C2×C4—82no—
1547C2×C4—82no—
1548C2×C4—82no—
1549C2×C4—82no—
1550C2×C4#51812yes—
1551C2×C4#51812yes—
1552C2×C4#51812yes—
1553C2×C4#51812yes—
1554C2×C4#51812yes—
1555C2×C4#56812yes—
1556C2×C4C2×H(5,𝔽2)11yescharacteristic
1557C2×C4C2×H(5,𝔽2)11yescharacteristic
1558C2×C4C2×H(5,𝔽2)11yescharacteristic
1559C2×C4C2×H(5,𝔽2)11yescharacteristic
1560C2×C4C2×H(5,𝔽2)11yescharacteristic
1561C2×C4C2×H(5,𝔽2)11yescharacteristic
1562C8—41no—
1563C8—41no—
1564C8—41no—
1565C8—41no—
1566C8—41no—
1567C8—41no—
1568C8—41no—
1569C8—41no—
1570C8—41no—
1571C8—41no—
1572C8—41no—
1573C8—41no—
1574C8—41no—
1575C8—41no—
1576C8—41no—
1577C8—41no—
1578C22—22no—
1579C22—22no—
1580C22—22no—
1581C22—22no—
1582C22—22no—
1583C22—22no—
1584C22—41no—
1585C22—41no—
1586C22—41no—
1587C22—41no—
1588C22—41no—
1589C22—41no—
1590C22—41no—
1591C22—41no—
1592C22—41no—
1593C22—41no—
1594C22—41no—
1595C22—41no—
1596C22—41no—
1597C22—41no—
1598C22—41no—
1599C22—41no—
1600C22—41no—
1601C22—41no—
1602C22—41no—
1603C22—41no—
1604C22—41no—
1605C22—41no—
1606C22—41no—
1607C22—41no—
1608C22—41no—
1609C22—41no—
1610C22—41no—
1611C22—41no—
1612C22—41no—
1613C22—41no—
1614C22—41no—
1615C22—41no—
1616C22—41no—
1617C22—41no—
1618C22—41no—
1619C22—41no—
1620C22—41no—
1621C22—41no—
1622C22—41no—
1623C22—41no—
1624C22—41no—
1625C22—41no—
1626C22—41no—
1627C22—41no—
1628C22—41no—
1629C22—41no—
1630C22—41no—
1631C22—41no—
1632C22—41no—
1633C22—41no—
1634C22—41no—
1635C22—41no—
1636C22—41no—
1637C22—41no—
1638C22—41no—
1639C22—41no—
1640C22—41no—
1641C22—88no—
1642C22—88no—
1643C22C2×#51811yescharacteristic
1644C22C2×#51811yescharacteristic
1645C22C2×#51811yescharacteristic
1646C22C2×#56811yescharacteristic
1647C22C2×#56811yescharacteristic
1648C22#357311yescharacteristic
1649C22#357311yescharacteristic
1650C4—22no—
1651C4—22no—
1652C4—22no—
1653C4—22no—
1654C4—22no—
1655C4—22no—
1656C4—41no—
1657C4—41no—
1658C4—41no—
1659C4—41no—
1660C4—41no—
1661C4—41no—
1662C4—41no—
1663C4—41no—
1664C4—41no—
1665C4—41no—
1666C4—41no—
1667C4—41no—
1668C4—41no—
1669C4—41no—
1670C4—41no—
1671C4#354311yescharacteristic
1672C4#354311yescharacteristic
1673C4#354311yescharacteristic
1674C4#354311yescharacteristic
1675C2—42no—
1676C2—42no—
1677C2—81no—
1678C2—81no—
1679C2—81no—
1680C2—81no—
1681C2—81no—
1682C2—81no—
1683C2—81no—
1684C2#3436411yescharacteristic
1685C2#6023411yescharacteristic
1686C2#6023511yescharacteristic
1687C2#6024011yescharacteristic
1688C2#6024011yescharacteristic
1689C2#6024111yescharacteristic
1690C2#6024111yescharacteristic
subgroupG/H
center, Frattini, cosocleC22×C4C25
commutator, socleC23C24×C4
prime radical#34936C2
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. #23357C2semidirect
3. #23356C2semidirect
4. #23356C2semidirect
5. #23356C2semidirect
6. #23178C2semidirect
7. #23178C2semidirect
8. #23178C2semidirect
9. #23177C2semidirect
10. #22403C2semidirect
11. #22402C2semidirect
12. #22401C2semidirect
13. #22400C2semidirect
14. #22400C2semidirect
15. #22400C2semidirect
16. #22399C2semidirect
17. #22398C2semidirect
18. #22267C2semidirect
19. #22267C2semidirect
20. #22266C2semidirect
21. #22266C2semidirect
22. #22265C2semidirect
23. #22264C2semidirect
24. #22263C2semidirect
25. #22262C2semidirect
26. #21744C2semidirect
27. #21744C2semidirect
28. #21743C2semidirect
29. #21741C2semidirect
30. #20785C2semidirect
31. #20784C2semidirect
40. C2×#436C22semidirect
41. C2×#436C22semidirect
42. C2×#436C22semidirect
43. C2×#436C22semidirect
46. C2×#435C22semidirect
47. C2×#435C22semidirect
48. C2×#435C22semidirect
49. C2×#435C22semidirect
50. C2×#435C22semidirect
51. C2×#435C22semidirect
52. C2×C8×D4C22semidirect
53. C2×C8×D4C22semidirect
89. #1955C22semidirect
90. #1955C22semidirect
91. #1955C22semidirect
92. #1955C22semidirect
93. #1955C22semidirect
94. #1955C22semidirect
97. #1954C22semidirect
98. #1954C22semidirect
99. #1954C22semidirect
100. #1954C22semidirect
101. #1954C22semidirect
102. #1954C22semidirect
109. #1870C22semidirect
110. #1870C22semidirect
111. #1870C22semidirect
112. #1870C22semidirect
113. #1870C22semidirect
114. #1870C22semidirect
115. #1870C22semidirect
116. #1870C22semidirect
117. #1870C22semidirect
118. #1870C22semidirect
119. #1870C22semidirect
120. #1870C22semidirect
121. #1870C22semidirect
122. #1870C22semidirect
123. #1870C22semidirect
124. #1870C22semidirect
125. #1870C22semidirect
126. #1870C22semidirect
127. #1870C22semidirect
128. #1870C22semidirect
129. #1870C22semidirect
130. #1870C22semidirect
131. #1870C22semidirect
132. #1870C22semidirect
133. #1870C22semidirect
134. #1870C22semidirect
135. #1870C22semidirect
136. #1870C22semidirect
137. #1870C22semidirect
138. #1870C22semidirect
139. #1870C22semidirect
140. #1870C22semidirect
141. #1870C22semidirect
142. #1870C22semidirect
145. #1869C22semidirect
146. #1869C22semidirect
147. #1869C22semidirect
148. #1869C22semidirect
149. #1869C22semidirect
150. #1869C22semidirect
151. #1869C22semidirect
152. #1869C22semidirect
153. #1869C22semidirect
154. #1869C22semidirect
155. #1869C22semidirect
156. #1869C22semidirect
157. #1869C22semidirect
158. #1869C22semidirect
159. #1869C22semidirect
160. #1869C22semidirect
161. #1869C22semidirect
162. #1869C22semidirect
163. #1869C22semidirect
164. #1869C22semidirect
165. #1869C22semidirect
166. #1869C22semidirect
167. #1839C22semidirect
168. #1839C22semidirect
169. #1839C22semidirect
170. #1839C22semidirect
171. #1832C22semidirect
172. #1832C22semidirect
173. #1831C22semidirect
174. #1831C22semidirect
191. #1768C22semidirect
192. #1768C22semidirect
193. #1768C22semidirect
194. #1768C22semidirect
199. #1746C22semidirect
200. #1746C22semidirect
201. #1745C22semidirect
202. #1744C22semidirect

Maximal subgroups

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

subgroupindex
#349362
#233572
#233562
#231782
#231772
#224032
#224022
#224012
#224002
#223992
#223982
#222672
#222662
#222652
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