Finite Group Databasebeta

← #6422111

Subgroups — #6422111

Order 512.

1923 conjugacy classes of subgroups.

The subgroup lattice has 1588 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#52103C211yesmaximal, characteristic
2#23356C211yesmaximal, characteristic, complemented
3#23332C211yesmaximal, characteristic, complemented
4#23328C211yesmaximal, characteristic, complemented
5#23313C211yesmaximal, characteristic, complemented
6#23125C211yesmaximal, characteristic, complemented
7#23124C211yesmaximal, characteristic, complemented
8#22846C211yesmaximal, characteristic, complemented
9#22844C211yesmaximal, characteristic, complemented
10#22843C211yesmaximal, characteristic, complemented
11#22790C211yesmaximal, characteristic, complemented
12#22790C211yesmaximal, characteristic, complemented
13#22400C211yesmaximal, characteristic, complemented
14#22398C211yesmaximal, characteristic, complemented
15#22398C211yesmaximal, characteristic, complemented
16#22398C211yesmaximal, characteristic, complemented
17#22340C211yesmaximal, characteristic, complemented
18#22336C211yesmaximal, characteristic, complemented
19#22266C211yesmaximal, characteristic, complemented
20#22173C211yesmaximal, characteristic, complemented
21#22169C211yesmaximal, characteristic, complemented
22#22038C211yesmaximal, characteristic, complemented
23#22037C211yesmaximal, characteristic, complemented
24#22036C211yesmaximal, characteristic, complemented
25#22007C211yesmaximal, characteristic, complemented
26#22005C211yesmaximal, characteristic, complemented
27#21743C211yesmaximal, characteristic, complemented
28#21741C211yesmaximal, characteristic, complemented
29#21444C211yesmaximal, characteristic, complemented
30#20899C211yesmaximal, characteristic, complemented
31#20899C211yesmaximal, characteristic, complemented
32C22×#131C2211yescharacteristic
33C2×#525C2211yescharacteristic
34C2×#525C2211yescharacteristic
35C2×#525C2211yescharacteristic
36C2×#525C2211yescharacteristic
37C2×#436C2211yescharacteristic
38C2×#435C2211yescharacteristic
39C2×#435C2211yescharacteristic
40C2×#435C2211yescharacteristic
41C2×#435C2211yescharacteristic, complemented
42C2×#435C2211yescharacteristic, complemented
43C2×#435C2211yescharacteristic, complemented
44C2×C8×D4C2211yescharacteristic
45C2×C8×D4C2211yescharacteristic, complemented
46C2×C8×D4C2211yescharacteristic, complemented
47C2×#408C2211yescharacteristic
48C2×#408C2211yescharacteristic
49C2×#408C2211yescharacteristic
50C2×#407C2211yescharacteristic, complemented
51C2×#407C2211yescharacteristic, complemented
52C2×#407C2211yescharacteristic, complemented
53C22×C22⋊C8C2211yescharacteristic, complemented
54C22×C22⋊C8C2211yescharacteristic, complemented
55C22×C22⋊C8C2211yescharacteristic, complemented
56#2683C411yescharacteristic
57#2682C411yescharacteristic
58#2682C411yescharacteristic
59#2681C411yescharacteristic
60#2681C411yescharacteristic
61#2681C411yescharacteristic
62#2681C411yescharacteristic
63#2680C411yescharacteristic
64#2680C411yescharacteristic
65#2679C411yescharacteristic
66#2678C411yescharacteristic
67#2678C411yescharacteristic
68#2678C411yescharacteristic
69#2678C411yescharacteristic
70#2669C411yescharacteristic
71#2669C411yescharacteristic
72#2392C2211yescharacteristic
73#2392C2211yescharacteristic
74#2392C2211yescharacteristic
75#2392C2211yescharacteristic
76#2388C2211yescharacteristic
77#2388C2211yescharacteristic
78C4×#127C2211yescharacteristic
79C4×#120C2211yescharacteristic
80C4×#120C2211yescharacteristic
81#2293C2211yescharacteristic
82#2293C2211yescharacteristic
83#1955C2211yescharacteristic
84#1955C2211yescharacteristic
85#1955C2211yescharacteristic
86#1955C2211yescharacteristic, complemented
87#1955C2211yescharacteristic, complemented
88#1955C2211yescharacteristic, complemented
89#1954C2211yescharacteristic
90#1954C2211yescharacteristic
91#1954C2211yescharacteristic, complemented
92#1954C2211yescharacteristic, complemented
93#1924C2211yescharacteristic, complemented
94#1924C2211yescharacteristic, complemented
95#1924C2211yescharacteristic, complemented
96#1924C2211yescharacteristic, complemented
97#1924C2211yescharacteristic, complemented
98#1924C2211yescharacteristic, complemented
99#1924C2211yescharacteristic, complemented
100#1924C2211yescharacteristic, complemented
101#1923C2211yescharacteristic, complemented
102#1923C2211yescharacteristic, complemented
103#1923C2211yescharacteristic, complemented
104#1923C2211yescharacteristic, complemented
105#1923C2211yescharacteristic, complemented
106#1923C2211yescharacteristic, complemented
107#1923C2211yescharacteristic, complemented
108#1923C2211yescharacteristic, complemented
109#1917C2211yescharacteristic, complemented
110#1917C2211yescharacteristic, complemented
111#1917C2211yescharacteristic, complemented
112#1917C2211yescharacteristic, complemented
113#1916C2211yescharacteristic, complemented
114#1916C2211yescharacteristic, complemented
115#1916C2211yescharacteristic, complemented
116#1916C2211yescharacteristic, complemented
117#1870C2211yescharacteristic
118#1870C2211yescharacteristic
119#1870C2211yescharacteristic
120#1870C2211yescharacteristic
121#1870C2211yescharacteristic
122#1870C2211yescharacteristic
123#1870C2211yescharacteristic
124#1870C2211yescharacteristic
125#1870C2211yescharacteristic
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#1869C2211yescharacteristic
142#1869C2211yescharacteristic
143#1869C2211yescharacteristic
144#1869C2211yescharacteristic
145#1869C2211yescharacteristic
146#1869C2211yescharacteristic
147#1869C2211yescharacteristic
148#1869C2211yescharacteristic
149#1869C2211yescharacteristic
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#1851C2211yescharacteristic, complemented
162#1851C2211yescharacteristic, complemented
163#1851C2211yescharacteristic, complemented
164#1851C2211yescharacteristic, complemented
165#1850C2211yescharacteristic, complemented
166#1850C2211yescharacteristic, complemented
167#1850C2211yescharacteristic, complemented
168#1850C2211yescharacteristic, complemented
169#1839C2211yescharacteristic, complemented
170#1839C2211yescharacteristic, complemented
171#1831C2211yescharacteristic, complemented
172#1818C2211yescharacteristic, complemented
173#1818C2211yescharacteristic, complemented
174#1818C2211yescharacteristic, complemented
175#1818C2211yescharacteristic, complemented
176#1798C2211yescharacteristic, complemented
177#1798C2211yescharacteristic, complemented
178#1798C2211yescharacteristic, complemented
179#1798C2211yescharacteristic, complemented
180#1780C2211yescharacteristic
181#1780C2211yescharacteristic
182#1780C2211yescharacteristic
183#1780C2211yescharacteristic
184#1779C2211yescharacteristic, complemented
185#1779C2211yescharacteristic, complemented
186#1753C2211yescharacteristic, complemented
187#1753C2211yescharacteristic, complemented
188#1753C2211yescharacteristic, complemented
189#1753C2211yescharacteristic, complemented
190#1752C2211yescharacteristic, complemented
191#1752C2211yescharacteristic, complemented
192#1752C2211yescharacteristic, complemented
193#1752C2211yescharacteristic, complemented
194#1750C2211yescharacteristic, complemented
195#1750C2211yescharacteristic, complemented
196#1750C2211yescharacteristic, complemented
197#1750C2211yescharacteristic, complemented
198#1745C2211yescharacteristic, complemented
199#1729C2211yescharacteristic, complemented
200#1729C2211yescharacteristic, complemented
201#1729C2211yescharacteristic, complemented
202#1729C2211yescharacteristic, complemented
203C22×#41C2311yescharacteristic
204C22×#41C2311yescharacteristic
205C24×C4C2311yescharacteristic
206C24×C4C2311yescharacteristic
207C2×#131—42no—
208C2×#131—42no—
209C2×#131—42no—
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
224C23×C8C2311yescharacteristic
225C23×C8C2311yescharacteristic
226C2×#127C2×C411yescharacteristic
227#525—42no—
228#525—42no—
229#525—42no—
230#525—42no—
231#525—42no—
232#525—42no—
233#525—42no—
234#525—42no—
235C2×#123C2×C411yescharacteristic
236C2×#123C2×C411yescharacteristic
237C2×#123C2×C411yescharacteristic
238C2×#123C2×C411yescharacteristic
239C2×#123C2×C411yescharacteristic
240C2×#123C2×C411yescharacteristic
241C2×#123C2×C411yescharacteristic
242C2×#123C2×C411yescharacteristic
243C2×C22⋊Q8C2×C411yescharacteristic
244C2×C22⋊Q8C2×C411yescharacteristic
245C2×C22⋊Q8C2×C411yescharacteristic
246C2×C22⋊Q8C2×C411yescharacteristic
247C2×C22⋊Q8C2×C411yescharacteristic
248C2×C22⋊Q8C2×C411yescharacteristic
249C2×C22⋊Q8C2×C411yescharacteristic
250C2×C22⋊Q8C2×C411yescharacteristic
251C2×#121C2×C411yescharacteristic
252C2×#121C2×C411yescharacteristic
253C2×#121C2×C411yescharacteristic
254C2×#121C2×C411yescharacteristic
255C2×#121C2×C411yescharacteristic
256C2×#121C2×C411yescharacteristic
257C2×#121C2×C411yescharacteristic
258C2×#121C2×C411yescharacteristic
259C2×#120C2×C411yescharacteristic
260C2×#120C2×C411yescharacteristic
261C2×#120C2×C411yescharacteristic
262C2×#120C2×C411yescharacteristic
263C2×#120C2×C411yescharacteristic
264C2×#120C2×C411yescharacteristic
265C2×#120C2×C411yescharacteristic
266C2×#120C2×C411yescharacteristic
267C2×#120C2×C411yescharacteristic
268C2×#120C2×C411yescharacteristic
269C2×C4×D4C2311yescharacteristic
270C2×C4×D4C2311yescharacteristic
271C2×C4×D4C2311yescharacteristic
272C2×C4×D4C2311yescharacteristic
273C2×C4×D4C2311yescharacteristic
274C2×C4×D4C2311yescharacteristic
275C2×C4×D4C2311yescharacteristic
276C2×C4×D4C2311yescharacteristic
277C2×C4×D4C2311yescharacteristic
278C2×C4×D4C2311yescharacteristic
279C2×C4×D4C2311yescharacteristic
280C2×C4×D4C2311yescharacteristic
281C2×C4×D4C2311yescharacteristic
282C2×C4×D4C2311yescharacteristic
283C2×C4×D4C2311yescharacteristic
284C2×C4×D4C2311yescharacteristic
285C2×#117C2311yescharacteristic
286C2×#117C2311yescharacteristic
287C2×#117C2311yescharacteristic
288C2×#117C2311yescharacteristic
289#436—42no—
290#435—42no—
291#435—42no—
292#435—42no—
293#435—42no—
294#435—42no—
295#435—42no—
296C8×D4—42no—
297C8×D4—42no—
298C8×D4—42no—
299C2×C4⋊C8C2311yescharacteristic
300C2×C4⋊C8C2311yescharacteristic
301C2×C4⋊C8C2311yescharacteristic
302C2×C4⋊C8C2311yescharacteristic
303C2×C4⋊C8C2311yescharacteristic
304C2×C4⋊C8C2311yescharacteristic
305C2×C4⋊C8C2311yescharacteristic
306C2×C4⋊C8C2311yescharacteristic
307C2×C4⋊C8C2311yescharacteristic
308C2×C4⋊C8C2311yescharacteristic
309#408—42no—
310#408—42no—
311#408—42no—
312#407—42no—
313#407—42no—
314#407—42no—
315C2×C22⋊C8—42no—
316C2×C22⋊C8—42no—
317C2×C22⋊C8—42no—
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×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×#97C2311yescharacteristic
367C2×#97C2311yescharacteristic
368C2×#97C2311yescharacteristic
369C2×#97C2311yescharacteristic
370C2×#97C2311yescharacteristic
371C2×#97C2311yescharacteristic
372C2×C4×C8C2311yescharacteristic
373C2×C4×C8C2311yescharacteristic
374C2×C4×C8C2311yescharacteristic
375C2×C4×C8C2311yescharacteristic
376#398C2×C411yescharacteristic
377#398C2×C411yescharacteristic
378#398C2×C411yescharacteristic
379#398C2×C411yescharacteristic
380#397C2×C411yescharacteristic
381#397C2×C411yescharacteristic
382#397C2×C411yescharacteristic
383#397C2×C411yescharacteristic
384#396C2×C411yescharacteristic
385#396C2×C411yescharacteristic
386#396C2×C411yescharacteristic
387#396C2×C411yescharacteristic
388#396C2×C411yescharacteristic
389#396C2×C411yescharacteristic
390#396C2×C411yescharacteristic
391#396C2×C411yescharacteristic
392#395C2×C411yescharacteristic
393#395C2×C411yescharacteristic
394#394C2×C411yescharacteristic
395#394C2×C411yescharacteristic
396#394C2×C411yescharacteristic
397#394C2×C411yescharacteristic
398#394C2×C411yescharacteristic
399#394C2×C411yescharacteristic
400#394C2×C411yescharacteristic
401#394C2×C411yescharacteristic
402#394C2×C411yescharacteristic
403#394C2×C411yescharacteristic
404#394C2×C411yescharacteristic
405#394C2×C411yescharacteristic
406#394C2×C411yescharacteristic
407#394C2×C411yescharacteristic
408#394C2×C411yescharacteristic
409#394C2×C411yescharacteristic
410#394C2×C411yescharacteristic
411#394C2×C411yescharacteristic
412#393C2×C411yescharacteristic
413#393C2×C411yescharacteristic
414#392C2×C411yescharacteristic
415#392C2×C411yescharacteristic
416#392C2×C411yescharacteristic
417#392C2×C411yescharacteristic
418#392C2×C411yescharacteristic
419#392C2×C411yescharacteristic
420#392C2×C411yescharacteristic
421#392C2×C411yescharacteristic
422#392C2×C411yescharacteristic
423#392C2×C411yescharacteristic
424#390C2×C411yescharacteristic
425#390C2×C411yescharacteristic
426#390C2×C411yescharacteristic
427#390C2×C411yescharacteristic
428#390C2×C411yescharacteristic
429#390C2×C411yescharacteristic
430#390C2×C411yescharacteristic
431#390C2×C411yescharacteristic
432#390C2×C411yescharacteristic
433#390C2×C411yescharacteristic
434#389C2×C411yescharacteristic
435#389C2×C411yescharacteristic
436#389C2×C411yescharacteristic
437#389C2×C411yescharacteristic
438#388C2×C411yescharacteristic
439#388C2×C411yescharacteristic
440#388C2×C411yescharacteristic
441#388C2×C411yescharacteristic
442#388C2×C411yescharacteristic
443#388C2×C411yescharacteristic
444#388C2×C411yescharacteristic
445#388C2×C411yescharacteristic
446#386C2×C411yescharacteristic
447#386C2×C411yescharacteristic
448#386C2×C411yescharacteristic
449#386C2×C411yescharacteristic
450#386C2×C411yescharacteristic
451#386C2×C411yescharacteristic
452#385C2×C411yescharacteristic
453#385C2×C411yescharacteristic
454#385C2×C411yescharacteristic
455#385C2×C411yescharacteristic
456#385C2×C411yescharacteristic
457#385C2×C411yescharacteristic
458#384C2×C411yescharacteristic
459#379C2×C411yescharacteristic
460#379C2×C411yescharacteristic
461C4×C4⋊C4C2311yescharacteristic
462C4×C4⋊C4C2311yescharacteristic
463C4×C22⋊C4C2311yescharacteristic
464C4×C22⋊C4C2311yescharacteristic
465C4×C22⋊C4C2311yescharacteristic
466C4×C22⋊C4C2311yescharacteristic
467C4×C22⋊C4C2311yescharacteristic
468C4×C22⋊C4C2311yescharacteristic
469C4×C22⋊C4C2311yescharacteristic
470C4×C22⋊C4C2311yescharacteristic
471C43C2311yescharacteristic
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
503#336C2311yescharacteristic
504#336C2311yescharacteristic
505#336C2311yescharacteristic
506#336C2311yescharacteristic
507#336C2311yescharacteristic
508C25C22×C411yescharacteristic
509C25C22×C411yescharacteristic
510C2×#41—22no—
511C2×#41—22no—
512C2×#41—22no—
513C2×#41—22no—
514C2×#41—41no—
515C2×#41—41no—
516C2×#41—41no—
517C2×#41—41no—
518C2×#41—41no—
519C2×#41—41no—
520C2×#41—41no—
521C2×#41—41no—
522C22×Q8C22×C411yescharacteristic
523C22×Q8C22×C411yescharacteristic
524C22×D4C22×C411yescharacteristic
525C22×D4C22×C411yescharacteristic
526C22×D4C22×C411yescharacteristic
527C22×D4C22×C411yescharacteristic
528C22×D4C22×C411yescharacteristic
529C22×D4C22×C411yescharacteristic
530C22×D4C22×C411yescharacteristic
531C22×D4C22×C411yescharacteristic
532C22×D4C22×C411yescharacteristic
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
546C23×C4—22no—
547C23×C4—22no—
548C23×C4—22no—
549C23×C4—22no—
550C23×C4—41no—
551C23×C4—41no—
552C23×C4—41no—
553C23×C4—41no—
554C23×C4—41no—
555C23×C4—41no—
556C23×C4—41no—
557C23×C4—41no—
558C23×C4C22×C411yescharacteristic
559C23×C4C22×C411yescharacteristic
560C23×C4C22×C411yescharacteristic
561C23×C4C22×C411yescharacteristic
562C23×C4C22×C411yescharacteristic
563C23×C4C22×C411yescharacteristic
564C23×C4C2411yescharacteristic
565C23×C4C2411yescharacteristic
566C23×C4C2411yescharacteristic
567C23×C4C2411yescharacteristic
568C23×C4C2411yescharacteristic
569C23×C4C2411yescharacteristic
570C23×C4C2411yescharacteristic
571C23×C4C2411yescharacteristic
572#131—416no—
573C2×M16—22no—
574C2×M16—22no—
575C2×M16—22no—
576C2×M16—22no—
577C2×M16—22no—
578C2×M16—41no—
579C2×M16—41no—
580C2×M16—41no—
581C2×M16—41no—
582C2×M16—41no—
583C2×M16—41no—
584C2×M16—41no—
585C2×M16—41no—
586C2×M16—41no—
587C2×M16—41no—
588C2×M16—41no—
589C2×M16—41no—
590C2×M16—41no—
591C2×M16—41no—
592C2×M16—41no—
593C2×M16—41no—
594C2×M16—41no—
595C2×M16—41no—
596C2×M16—41no—
597C22×C8—22no—
598C22×C8—22no—
599C22×C8—22no—
600C22×C8—22no—
601C22×C8—22no—
602C22×C8—22no—
603C22×C8—22no—
604C22×C8—41no—
605C22×C8—41no—
606C22×C8—41no—
607C22×C8—41no—
608C22×C8—41no—
609C22×C8—41no—
610C22×C8—41no—
611C22×C8—41no—
612C22×C8—41no—
613C22×C8—41no—
614C22×C8—41no—
615C22×C8—41no—
616C22×C8—41no—
617C22×C8—41no—
618C22×C8—41no—
619C22×C8—41no—
620C22×C8—41no—
621C22×C8C2411yescharacteristic
622C22×C8C2411yescharacteristic
623C22×C8C2411yescharacteristic
624C22×C8C2411yescharacteristic
625C22×C8C2411yescharacteristic
626C22×C8C2411yescharacteristic
627C22×C8C2411yescharacteristic
628C22×C8C2411yescharacteristic
629C22×C8C2411yescharacteristic
630C22×C8C2411yescharacteristic
631C22×C8C2411yescharacteristic
632C22×C8C2411yescharacteristic
633C22×C8C2411yescharacteristic
634C22×C8C2411yescharacteristic
635C22×C8C2411yescharacteristic
636C22×C8C2411yescharacteristic
637#127—42no—
638#123—42no—
639#123—42no—
640#123—42no—
641#123—42no—
642#123—42no—
643#123—42no—
644#123—42no—
645#123—42no—
646C22⋊Q8—42no—
647C22⋊Q8—42no—
648C22⋊Q8—42no—
649C22⋊Q8—42no—
650C22⋊Q8—42no—
651C22⋊Q8—42no—
652C22⋊Q8—42no—
653C22⋊Q8—42no—
654#121—42no—
655#121—42no—
656#121—42no—
657#121—42no—
658#121—42no—
659#121—42no—
660#121—42no—
661#121—42no—
662#120—42no—
663#120—42no—
664#120—42no—
665#120—42no—
666#120—42no—
667#120—42no—
668#120—42no—
669#120—42no—
670#120—42no—
671#120—42no—
672C4×D4—22no—
673C4×D4—22no—
674C4×D4—22no—
675C4×D4—22no—
676C4×D4—22no—
677C4×D4—22no—
678C4×D4—22no—
679C4×D4—22no—
680C4×D4—22no—
681C4×D4—22no—
682C4×D4—22no—
683C4×D4—22no—
684C4×D4—41no—
685C4×D4—41no—
686C4×D4—41no—
687C4×D4—41no—
688C4×D4—41no—
689C4×D4—41no—
690C4×D4—41no—
691C4×D4—41no—
692C4×D4—41no—
693C4×D4—41no—
694C4×D4—41no—
695C4×D4—41no—
696C4×D4—41no—
697C4×D4—41no—
698C4×D4—41no—
699C4×D4—41no—
700C4×D4—41no—
701C4×D4—41no—
702C4×D4—41no—
703C4×D4—41no—
704#117—41no—
705#117—41no—
706#117—41no—
707#117—41no—
708#117—41no—
709#117—41no—
710#117—41no—
711#117—41no—
712C2×C4⋊C4C22×C411yescharacteristic
713C2×C4⋊C4C22×C411yescharacteristic
714C2×C4⋊C4C22×C411yescharacteristic
715C2×C4⋊C4C22×C411yescharacteristic
716C2×C4⋊C4C22×C411yescharacteristic
717C2×C4⋊C4C22×C411yescharacteristic
718C2×C4⋊C4C22×C411yescharacteristic
719C2×C4⋊C4C22×C411yescharacteristic
720C2×C4⋊C4C22×C411yescharacteristic
721C2×C4⋊C4C22×C411yescharacteristic
722C2×C4⋊C4C22×C411yescharacteristic
723C2×C4⋊C4C22×C411yescharacteristic
724C2×C4⋊C4C22×C411yescharacteristic
725C2×C4⋊C4C22×C411yescharacteristic
726C2×C4⋊C4C22×C411yescharacteristic
727C2×C4⋊C4C22×C411yescharacteristic
728C2×C4⋊C4C22×C411yescharacteristic
729C2×C4⋊C4C22×C411yescharacteristic
730C2×C4⋊C4C22×C411yescharacteristic
731C2×C4⋊C4C22×C411yescharacteristic
732C2×C4⋊C4C22×C411yescharacteristic
733C2×C4⋊C4C22×C411yescharacteristic
734C2×C4⋊C4C22×C411yescharacteristic
735C2×C4⋊C4C22×C411yescharacteristic
736C2×C4⋊C4C22×C411yescharacteristic
737C2×C4⋊C4C22×C411yescharacteristic
738C2×C4⋊C4C22×C411yescharacteristic
739C2×C4⋊C4C22×C411yescharacteristic
740C2×C22⋊C4C22×C411yescharacteristic
741C2×C22⋊C4C22×C411yescharacteristic
742C2×C22⋊C4C22×C411yescharacteristic
743C2×C22⋊C4C22×C411yescharacteristic
744C2×C22⋊C4C22×C411yescharacteristic
745C2×C22⋊C4C22×C411yescharacteristic
746C2×C22⋊C4C22×C411yescharacteristic
747C2×C22⋊C4C22×C411yescharacteristic
748C2×C22⋊C4C22×C411yescharacteristic
749C2×C22⋊C4C22×C411yescharacteristic
750C2×C22⋊C4C22×C411yescharacteristic
751C2×C22⋊C4C22×C411yescharacteristic
752C2×C22⋊C4C22×C411yescharacteristic
753C2×C22⋊C4C22×C411yescharacteristic
754C2×C22⋊C4C22×C411yescharacteristic
755C2×C22⋊C4C22×C411yescharacteristic
756C2×C22⋊C4C22×C411yescharacteristic
757C2×C22⋊C4C22×C411yescharacteristic
758C2×C22⋊C4C22×C411yescharacteristic
759C2×C22⋊C4C22×C411yescharacteristic
760C2×C22⋊C4C22×C411yescharacteristic
761C2×C22⋊C4C22×C411yescharacteristic
762C2×C22⋊C4C22×C411yescharacteristic
763C2×C22⋊C4C22×C411yescharacteristic
764C2×C22⋊C4C22×C411yescharacteristic
765C2×C22⋊C4C22×C411yescharacteristic
766C2×C22⋊C4C22×C411yescharacteristic
767C2×C22⋊C4C22×C411yescharacteristic
768C2×C22⋊C4C22×C411yescharacteristic
769C2×C22⋊C4C22×C411yescharacteristic
770C2×C22⋊C4C22×C411yescharacteristic
771C2×C22⋊C4C22×C411yescharacteristic
772C2×C22⋊C4C22×C411yescharacteristic
773C2×C22⋊C4C22×C411yescharacteristic
774C2×C22⋊C4C22×C411yescharacteristic
775C2×C22⋊C4C22×C411yescharacteristic
776C2×C22⋊C4C22×C411yescharacteristic
777C2×C22⋊C4C22×C411yescharacteristic
778C2×C22⋊C4C22×C411yescharacteristic
779C2×C22⋊C4C22×C411yescharacteristic
780C2×C22⋊C4C22×C411yescharacteristic
781C2×C22⋊C4C22×C411yescharacteristic
782C2×C22⋊C4C22×C411yescharacteristic
783C2×C22⋊C4C22×C411yescharacteristic
784C2×C22⋊C4C22×C411yescharacteristic
785C2×C22⋊C4C22×C411yescharacteristic
786C2×C22⋊C4C22×C411yescharacteristic
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×C42C22×C411yescharacteristic
797C2×C42C22×C411yescharacteristic
798C2×C42C22×C411yescharacteristic
799C2×C42C22×C411yescharacteristic
800C2×C42C2411yescharacteristic
801C2×C42C2411yescharacteristic
802C2×C42C2411yescharacteristic
803C2×C42C2411yescharacteristic
804C2×C42C2411yescharacteristic
805C2×C42C2411yescharacteristic
806C2×C42C2411yescharacteristic
807C4⋊C8—41no—
808C4⋊C8—41no—
809C4⋊C8—41no—
810C4⋊C8—41no—
811C4⋊C8—41no—
812C4⋊C8—41no—
813C4⋊C8—41no—
814C4⋊C8—41no—
815C4⋊C8—41no—
816C4⋊C8—41no—
817C22⋊C8—22no—
818C22⋊C8—22no—
819C22⋊C8—22no—
820C22⋊C8—22no—
821C22⋊C8—22no—
822C22⋊C8—22no—
823C22⋊C8—22no—
824C22⋊C8—22no—
825C22⋊C8—22no—
826C22⋊C8—22no—
827C22⋊C8—22no—
828C22⋊C8—22no—
829C22⋊C8—41no—
830C22⋊C8—41no—
831C22⋊C8—41no—
832C22⋊C8—41no—
833C22⋊C8—41no—
834C22⋊C8—41no—
835C22⋊C8—41no—
836C22⋊C8—41no—
837C22⋊C8—41no—
838C22⋊C8—41no—
839C22⋊C8—41no—
840C22⋊C8—41no—
841C22⋊C8—41no—
842C22⋊C8—41no—
843C22⋊C8—41no—
844C22⋊C8—41no—
845C22⋊C8—41no—
846C22⋊C8—41no—
847C22⋊C8—41no—
848C22⋊C8—41no—
849C22⋊C8—41no—
850C22⋊C8—41no—
851C22⋊C8—41no—
852C22⋊C8—41no—
853C22⋊C8—41no—
854C22⋊C8—41no—
855C22⋊C8—41no—
856C22⋊C8—41no—
857C22⋊C8—41no—
858C22⋊C8—41no—
859C22⋊C8—41no—
860C22⋊C8—41no—
861C22⋊C8—41no—
862C22⋊C8—41no—
863C22⋊C8—41no—
864C22⋊C8—41no—
865#97—22no—
866#97—41no—
867#97—41no—
868#97—41no—
869#97—41no—
870#97—41no—
871C4×C8—41no—
872C4×C8—41no—
873C4×C8—41no—
874C4×C8—41no—
875#95C22×C411yescharacteristic
876#95C22×C411yescharacteristic
877#95C22×C411yescharacteristic
878#95C22×C411yescharacteristic
879#95C22×C411yescharacteristic
880#95C22×C411yescharacteristic
881#95C22×C411yescharacteristic
882#95C22×C411yescharacteristic
883#95C22×C411yescharacteristic
884#95C22×C411yescharacteristic
885#95C22×C411yescharacteristic
886#95C22×C411yescharacteristic
887#95C22×C411yescharacteristic
888#95C22×C411yescharacteristic
889#95C22×C411yescharacteristic
890#95C22×C411yescharacteristic
891#95C22×C411yescharacteristic
892#95C22×C411yescharacteristic
893#95C22×C411yescharacteristic
894#95C22×C411yescharacteristic
895C24—22no—
896C24—22no—
897C24—22no—
898C24—41no—
899C24—41no—
900C24—41no—
901C24—41no—
902C24—41no—
903C24—41no—
904C24—41no—
905C24—41no—
906C24—41no—
907C24—41no—
908C24—41no—
909C24C23×C411yescharacteristic
910C24C23×C411yescharacteristic
911C24C23×C411yescharacteristic
912C24C23×C411yescharacteristic
913C24C23×C411yescharacteristic
914C24C23×C411yescharacteristic
915C24C23×C411yescharacteristic
916C24C23×C411yescharacteristic
917#41—44no—
918#41—44no—
919#41—44no—
920#41—44no—
921#41—82no—
922#41—82no—
923#41—82no—
924#41—82no—
925C2×Q8—22no—
926C2×Q8—22no—
927C2×Q8—41no—
928C2×Q8—41no—
929C2×Q8—41no—
930C2×Q8—41no—
931C2×D4—22no—
932C2×D4—22no—
933C2×D4—22no—
934C2×D4—22no—
935C2×D4—22no—
936C2×D4—22no—
937C2×D4—22no—
938C2×D4—22no—
939C2×D4—22no—
940C2×D4—22no—
941C2×D4—22no—
942C2×D4—22no—
943C2×D4—22no—
944C2×D4—22no—
945C2×D4—22no—
946C2×D4—22no—
947C2×D4—22no—
948C2×D4—41no—
949C2×D4—41no—
950C2×D4—41no—
951C2×D4—41no—
952C2×D4—41no—
953C2×D4—41no—
954C2×D4—41no—
955C2×D4—41no—
956C2×D4—41no—
957C2×D4—41no—
958C2×D4—41no—
959C2×D4—41no—
960C2×D4—41no—
961C2×D4—41no—
962C2×D4—41no—
963C2×D4—41no—
964C2×D4—41no—
965C2×D4—41no—
966C2×D4—41no—
967C2×D4—41no—
968C2×D4—41no—
969C2×D4—41no—
970C2×D4—41no—
971C2×D4—41no—
972C2×D4—41no—
973C2×D4—41no—
974C2×D4—41no—
975C2×D4—41no—
976C2×D4—41no—
977C2×D4—41no—
978C2×D4—41no—
979C2×D4—41no—
980C2×D4—41no—
981C2×D4—41no—
982C2×D4—41no—
983C2×D4—41no—
984C2×D4—41no—
985C2×D4—41no—
986C2×D4—41no—
987C2×D4—41no—
988C2×D4—41no—
989C2×D4—41no—
990C2×D4—41no—
991C2×D4—41no—
992C2×D4—41no—
993C2×D4—41no—
994C2×D4—41no—
995C2×D4—41no—
996C2×D4—41no—
997C22×C4—21no—
998C22×C4—21no—
999C22×C4—21no—
1000C22×C4—21no—
1001C22×C4—21no—
1002C22×C4—21no—
1003C22×C4—21no—
1004C22×C4—21no—
1005C22×C4—22no—
1006C22×C4—22no—
1007C22×C4—21no—
1008C22×C4—21no—
1009C22×C4—21no—
1010C22×C4—21no—
1011C22×C4—21no—
1012C22×C4—21no—
1013C22×C4—21no—
1014C22×C4—21no—
1015C22×C4—21no—
1016C22×C4—21no—
1017C22×C4—21no—
1018C22×C4—21no—
1019C22×C4—21no—
1020C22×C4—21no—
1021C22×C4—21no—
1022C22×C4—21no—
1023C22×C4—21no—
1024C22×C4—21no—
1025C22×C4—21no—
1026C22×C4—21no—
1027C22×C4—21no—
1028C22×C4—21no—
1029C22×C4—21no—
1030C22×C4—21no—
1031C22×C4—21no—
1032C22×C4—21no—
1033C22×C4—21no—
1034C22×C4—21no—
1035C22×C4—21no—
1036C22×C4—21no—
1037C22×C4—21no—
1038C22×C4—21no—
1039C22×C4—21no—
1040C22×C4—21no—
1041C22×C4—21no—
1042C22×C4—21no—
1043C22×C4—22no—
1044C22×C4—22no—
1045C22×C4—22no—
1046C22×C4—22no—
1047C22×C4—41no—
1048C22×C4—41no—
1049C22×C4—41no—
1050C22×C4—41no—
1051C22×C4—41no—
1052C22×C4—41no—
1053C22×C4—41no—
1054C22×C4—41no—
1055C22×C4—41no—
1056C22×C4—41no—
1057C22×C4—41no—
1058C22×C4—41no—
1059C22×C4—82no—
1060C22×C4—82no—
1061C22×C4—82no—
1062C22×C4—82no—
1063C22×C4—82no—
1064C22×C4—82no—
1065C22×C4—82no—
1066C22×C4—82no—
1067C22×C4C23×C411yescharacteristic
1068C22×C4C23×C411yescharacteristic
1069C22×C4C23×C411yescharacteristic
1070C22×C4C23×C411yescharacteristic
1071C22×C4C23×C411yescharacteristic
1072C22×C4C23×C411yescharacteristic
1073C22×C4C23×C411yescharacteristic
1074C22×C4C23×C411yescharacteristic
1075C22×C4C23×C411yescharacteristic
1076C22×C4C23×C411yescharacteristic
1077C22×C4C23×C411yescharacteristic
1078C22×C4C23×C411yescharacteristic
1079C22×C4C23×C411yescharacteristic
1080C22×C4C23×C411yescharacteristic
1081C22×C4C23×C411yescharacteristic
1082C22×C4C23×C411yescharacteristic
1083C22×C4C23×C411yescharacteristic
1084C22×C4C23×C411yescharacteristic
1085C22×C4C23×C411yescharacteristic
1086C22×C4C23×C411yescharacteristic
1087C22×C4C23×C411yescharacteristic
1088C22×C4C23×C411yescharacteristic
1089C22×C4H(5,𝔽2)12yes—
1090C22×C4H(5,𝔽2)12yes—
1091C22×C4H(5,𝔽2)12yes—
1092C22×C4H(5,𝔽2)12yes—
1093C22×C4C2511yescharacteristic
1094M16—44no—
1095M16—44no—
1096M16—44no—
1097M16—82no—
1098M16—82no—
1099M16—82no—
1100M16—82no—
1101M16—82no—
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—21no—
1118C2×C8—21no—
1119C2×C8—21no—
1120C2×C8—21no—
1121C2×C8—21no—
1122C2×C8—21no—
1123C2×C8—21no—
1124C2×C8—21no—
1125C2×C8—21no—
1126C2×C8—21no—
1127C2×C8—21no—
1128C2×C8—21no—
1129C2×C8—21no—
1130C2×C8—21no—
1131C2×C8—21no—
1132C2×C8—21no—
1133C2×C8—21no—
1134C2×C8—21no—
1135C2×C8—21no—
1136C2×C8—21no—
1137C2×C8—21no—
1138C2×C8—21no—
1139C2×C8—21no—
1140C2×C8—21no—
1141C2×C8—21no—
1142C2×C8—21no—
1143C2×C8—21no—
1144C2×C8—21no—
1145C2×C8—21no—
1146C2×C8—21no—
1147C2×C8—21no—
1148C2×C8—21no—
1149C2×C8—44no—
1150C2×C8—44no—
1151C2×C8—44no—
1152C2×C8—82no—
1153C2×C8—82no—
1154C2×C8—82no—
1155C2×C8—82no—
1156C2×C8—82no—
1157C2×C8H(5,𝔽2)12yes—
1158C4⋊C4—22no—
1159C4⋊C4—22no—
1160C4⋊C4—22no—
1161C4⋊C4—22no—
1162C4⋊C4—22no—
1163C4⋊C4—22no—
1164C4⋊C4—41no—
1165C4⋊C4—41no—
1166C4⋊C4—41no—
1167C4⋊C4—41no—
1168C4⋊C4—41no—
1169C4⋊C4—41no—
1170C4⋊C4—41no—
1171C4⋊C4—41no—
1172C4⋊C4—41no—
1173C4⋊C4—41no—
1174C4⋊C4—41no—
1175C4⋊C4—41no—
1176C4⋊C4—41no—
1177C4⋊C4—41no—
1178C4⋊C4—41no—
1179C4⋊C4—41no—
1180C4⋊C4—41no—
1181C4⋊C4—41no—
1182C4⋊C4—41no—
1183C4⋊C4—41no—
1184C4⋊C4—41no—
1185C4⋊C4—41no—
1186C22⋊C4—22no—
1187C22⋊C4—22no—
1188C22⋊C4—22no—
1189C22⋊C4—22no—
1190C22⋊C4—22no—
1191C22⋊C4—22no—
1192C22⋊C4—22no—
1193C22⋊C4—22no—
1194C22⋊C4—22no—
1195C22⋊C4—22no—
1196C22⋊C4—22no—
1197C22⋊C4—22no—
1198C22⋊C4—22no—
1199C22⋊C4—41no—
1200C22⋊C4—41no—
1201C22⋊C4—41no—
1202C22⋊C4—41no—
1203C22⋊C4—41no—
1204C22⋊C4—41no—
1205C22⋊C4—41no—
1206C22⋊C4—41no—
1207C22⋊C4—41no—
1208C22⋊C4—41no—
1209C22⋊C4—41no—
1210C22⋊C4—41no—
1211C22⋊C4—41no—
1212C22⋊C4—41no—
1213C22⋊C4—41no—
1214C22⋊C4—41no—
1215C22⋊C4—41no—
1216C22⋊C4—41no—
1217C22⋊C4—41no—
1218C22⋊C4—41no—
1219C22⋊C4—41no—
1220C22⋊C4—41no—
1221C22⋊C4—41no—
1222C22⋊C4—41no—
1223C22⋊C4—41no—
1224C22⋊C4—41no—
1225C22⋊C4—41no—
1226C22⋊C4—41no—
1227C22⋊C4—41no—
1228C22⋊C4—41no—
1229C22⋊C4—41no—
1230C22⋊C4—41no—
1231C22⋊C4—41no—
1232C22⋊C4—41no—
1233C22⋊C4—41no—
1234C22⋊C4—41no—
1235C22⋊C4—41no—
1236C22⋊C4—41no—
1237C22⋊C4—41no—
1238C22⋊C4—41no—
1239C22⋊C4—41no—
1240C22⋊C4—41no—
1241C22⋊C4—41no—
1242C42—21no—
1243C42—21no—
1244C42—21no—
1245C42—21no—
1246C42—21no—
1247C42—21no—
1248C42—21no—
1249C42—21no—
1250C42—21no—
1251C42—21no—
1252C42—21no—
1253C42—21no—
1254C42—21no—
1255C42—21no—
1256C42—41no—
1257C42—41no—
1258C42—41no—
1259C42—41no—
1260C23—21no—
1261C23—21no—
1262C23—21no—
1263C23—21no—
1264C23—21no—
1265C23—21no—
1266C23—21no—
1267C23—21no—
1268C23—21no—
1269C23—21no—
1270C23—21no—
1271C23—21no—
1272C23—21no—
1273C23—21no—
1274C23—21no—
1275C23—21no—
1276C23—21no—
1277C23—21no—
1278C23—21no—
1279C23—21no—
1280C23—21no—
1281C23—21no—
1282C23—21no—
1283C23—21no—
1284C23—21no—
1285C23—21no—
1286C23—21no—
1287C23—21no—
1288C23—21no—
1289C23—21no—
1290C23—21no—
1291C23—21no—
1292C23—21no—
1293C23—21no—
1294C23—21no—
1295C23—21no—
1296C23—21no—
1297C23—21no—
1298C23—21no—
1299C23—21no—
1300C23—21no—
1301C23—21no—
1302C23—21no—
1303C23—21no—
1304C23—21no—
1305C23—21no—
1306C23—21no—
1307C23—21no—
1308C23—21no—
1309C23—21no—
1310C23—21no—
1311C23—21no—
1312C23—21no—
1313C23—44no—
1314C23—44no—
1315C23—44no—
1316C23—82no—
1317C23—82no—
1318C23—82no—
1319C23—82no—
1320C23—82no—
1321C23—82no—
1322C23—82no—
1323C23—82no—
1324C23—82no—
1325C23—82no—
1326C23—82no—
1327C23#51812yes—
1328C23#51812yes—
1329C23#56812yes—
1330C23C24×C411yescharacteristic
1331Q8—44no—
1332Q8—82no—
1333D4—44no—
1334D4—44no—
1335D4—44no—
1336D4—44no—
1337D4—44no—
1338D4—44no—
1339D4—82no—
1340D4—82no—
1341D4—82no—
1342D4—82no—
1343D4—82no—
1344D4—82no—
1345D4—82no—
1346D4—82no—
1347D4—82no—
1348D4—82no—
1349D4—82no—
1350D4—82no—
1351D4—82no—
1352D4—82no—
1353D4—82no—
1354D4—82no—
1355C2×C4—21no—
1356C2×C4—21no—
1357C2×C4—21no—
1358C2×C4—21no—
1359C2×C4—22no—
1360C2×C4—22no—
1361C2×C4—22no—
1362C2×C4—22no—
1363C2×C4—22no—
1364C2×C4—22no—
1365C2×C4—22no—
1366C2×C4—22no—
1367C2×C4—21no—
1368C2×C4—21no—
1369C2×C4—21no—
1370C2×C4—21no—
1371C2×C4—21no—
1372C2×C4—21no—
1373C2×C4—21no—
1374C2×C4—21no—
1375C2×C4—21no—
1376C2×C4—21no—
1377C2×C4—21no—
1378C2×C4—21no—
1379C2×C4—21no—
1380C2×C4—21no—
1381C2×C4—21no—
1382C2×C4—21no—
1383C2×C4—21no—
1384C2×C4—21no—
1385C2×C4—21no—
1386C2×C4—21no—
1387C2×C4—21no—
1388C2×C4—21no—
1389C2×C4—21no—
1390C2×C4—21no—
1391C2×C4—21no—
1392C2×C4—21no—
1393C2×C4—21no—
1394C2×C4—21no—
1395C2×C4—21no—
1396C2×C4—21no—
1397C2×C4—21no—
1398C2×C4—21no—
1399C2×C4—21no—
1400C2×C4—21no—
1401C2×C4—21no—
1402C2×C4—21no—
1403C2×C4—21no—
1404C2×C4—21no—
1405C2×C4—21no—
1406C2×C4—21no—
1407C2×C4—21no—
1408C2×C4—21no—
1409C2×C4—21no—
1410C2×C4—21no—
1411C2×C4—21no—
1412C2×C4—21no—
1413C2×C4—21no—
1414C2×C4—21no—
1415C2×C4—21no—
1416C2×C4—21no—
1417C2×C4—21no—
1418C2×C4—21no—
1419C2×C4—21no—
1420C2×C4—21no—
1421C2×C4—21no—
1422C2×C4—21no—
1423C2×C4—21no—
1424C2×C4—21no—
1425C2×C4—21no—
1426C2×C4—21no—
1427C2×C4—41no—
1428C2×C4—41no—
1429C2×C4—41no—
1430C2×C4—41no—
1431C2×C4—41no—
1432C2×C4—41no—
1433C2×C4—41no—
1434C2×C4—41no—
1435C2×C4—41no—
1436C2×C4—41no—
1437C2×C4—41no—
1438C2×C4—41no—
1439C2×C4—41no—
1440C2×C4—41no—
1441C2×C4—41no—
1442C2×C4—41no—
1443C2×C4—41no—
1444C2×C4—41no—
1445C2×C4—41no—
1446C2×C4—41no—
1447C2×C4—41no—
1448C2×C4—41no—
1449C2×C4—41no—
1450C2×C4—41no—
1451C2×C4—82no—
1452C2×C4—82no—
1453C2×C4—82no—
1454C2×C4—82no—
1455C2×C4—82no—
1456C2×C4—82no—
1457C2×C4#51812yes—
1458C2×C4#51812yes—
1459C2×C4C2×H(5,𝔽2)11yescharacteristic
1460C2×C4C2×H(5,𝔽2)11yescharacteristic
1461C2×C4C2×H(5,𝔽2)11yescharacteristic
1462C2×C4C2×H(5,𝔽2)11yescharacteristic
1463C2×C4C2×H(5,𝔽2)11yescharacteristic
1464C2×C4#58511yescharacteristic
1465C8—22no—
1466C8—41no—
1467C8—41no—
1468C8—41no—
1469C8—41no—
1470C8—41no—
1471C8—41no—
1472C8—41no—
1473C8—41no—
1474C8—41no—
1475C8—41no—
1476C8—41no—
1477C8—41no—
1478C8—41no—
1479C8—41no—
1480C8—41no—
1481C22—22no—
1482C22—22no—
1483C22—22no—
1484C22—22no—
1485C22—22no—
1486C22—22no—
1487C22—22no—
1488C22—22no—
1489C22—22no—
1490C22—41no—
1491C22—41no—
1492C22—41no—
1493C22—41no—
1494C22—41no—
1495C22—41no—
1496C22—41no—
1497C22—41no—
1498C22—41no—
1499C22—41no—
1500C22—41no—
1501C22—41no—
1502C22—41no—
1503C22—41no—
1504C22—41no—
1505C22—41no—
1506C22—41no—
1507C22—41no—
1508C22—41no—
1509C22—41no—
1510C22—41no—
1511C22—41no—
1512C22—41no—
1513C22—41no—
1514C22—41no—
1515C22—41no—
1516C22—41no—
1517C22—41no—
1518C22—41no—
1519C22—41no—
1520C22—41no—
1521C22—41no—
1522C22—41no—
1523C22—41no—
1524C22—41no—
1525C22—41no—
1526C22—41no—
1527C22—41no—
1528C22—41no—
1529C22—41no—
1530C22—41no—
1531C22—41no—
1532C22—41no—
1533C22—41no—
1534C22—41no—
1535C22—41no—
1536C22—41no—
1537C22—88no—
1538C22—88no—
1539C22C2×#51811yescharacteristic
1540C22C2×#51811yescharacteristic
1541C22C4×H(5,𝔽2)11yescharacteristic
1542C22C2×#56811yescharacteristic
1543C22#357311yescharacteristic
1544C22#357311yescharacteristic
1545C22#357311yescharacteristic
1546C4—22no—
1547C4—22no—
1548C4—41no—
1549C4—41no—
1550C4—41no—
1551C4—41no—
1552C4—41no—
1553C4—41no—
1554C4—41no—
1555C4—41no—
1556C4—41no—
1557C4—41no—
1558C4—41no—
1559C4—41no—
1560C4—41no—
1561C4—41no—
1562C4—41no—
1563C4—41no—
1564C4—41no—
1565C4—41no—
1566C4—41no—
1567C4—41no—
1568C4#353211yescharacteristic
1569C4#353411yescharacteristic
1570C4#353411yescharacteristic
1571C4#353711yescharacteristic
1572C2—42no—
1573C2—42no—
1574C2—42no—
1575C2—81no—
1576C2—81no—
1577C2—81no—
1578C2—81no—
1579C2—81no—
1580C2#3446811yescharacteristic
1581C2#6023511yescharacteristic
1582C2#6023511yescharacteristic
1583C2#6024011yescharacteristic
1584C2#6024011yescharacteristic
1585C2#6031311yescharacteristic
1586C2#6031511yescharacteristic
subgroupG/H
center, Frattini, cosocleC22×C4C25
commutator, socleC23C24×C4
prime radical#52103C2
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. #23356C2semidirect
3. #23332C2semidirect
4. #23328C2semidirect
5. #23313C2semidirect
6. #23125C2semidirect
7. #23124C2semidirect
8. #22846C2semidirect
9. #22844C2semidirect
10. #22843C2semidirect
11. #22790C2semidirect
12. #22790C2semidirect
13. #22400C2semidirect
14. #22398C2semidirect
15. #22398C2semidirect
16. #22398C2semidirect
17. #22340C2semidirect
18. #22336C2semidirect
19. #22266C2semidirect
20. #22173C2semidirect
21. #22169C2semidirect
22. #22038C2semidirect
23. #22037C2semidirect
24. #22036C2semidirect
25. #22007C2semidirect
26. #22005C2semidirect
27. #21743C2semidirect
28. #21741C2semidirect
29. #21444C2semidirect
30. #20899C2semidirect
31. #20899C2semidirect
41. C2×#435C22semidirect
42. C2×#435C22semidirect
43. C2×#435C22semidirect
45. C2×C8×D4C22semidirect
46. C2×C8×D4C22semidirect
50. C2×#407C22semidirect
51. C2×#407C22semidirect
52. C2×#407C22semidirect
53. C22×C22⋊C8C22semidirect
54. C22×C22⋊C8C22semidirect
55. C22×C22⋊C8C22semidirect
86. #1955C22semidirect
87. #1955C22semidirect
88. #1955C22semidirect
91. #1954C22semidirect
92. #1954C22semidirect
93. #1924C22semidirect
94. #1924C22semidirect
95. #1924C22semidirect
96. #1924C22semidirect
97. #1924C22semidirect
98. #1924C22semidirect
99. #1924C22semidirect
100. #1924C22semidirect
101. #1923C22semidirect
102. #1923C22semidirect
103. #1923C22semidirect
104. #1923C22semidirect
105. #1923C22semidirect
106. #1923C22semidirect
107. #1923C22semidirect
108. #1923C22semidirect
109. #1917C22semidirect
110. #1917C22semidirect
111. #1917C22semidirect
112. #1917C22semidirect
113. #1916C22semidirect
114. #1916C22semidirect
115. #1916C22semidirect
116. #1916C22semidirect
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
150. #1869C22semidirect
151. #1869C22semidirect
152. #1869C22semidirect
153. #1869C22semidirect
154. #1869C22semidirect
155. #1869C22semidirect
156. #1869C22semidirect
157. #1869C22semidirect
158. #1869C22semidirect
159. #1869C22semidirect
160. #1869C22semidirect
161. #1851C22semidirect
162. #1851C22semidirect
163. #1851C22semidirect
164. #1851C22semidirect
165. #1850C22semidirect
166. #1850C22semidirect
167. #1850C22semidirect
168. #1850C22semidirect
169. #1839C22semidirect
170. #1839C22semidirect
171. #1831C22semidirect
172. #1818C22semidirect
173. #1818C22semidirect
174. #1818C22semidirect
175. #1818C22semidirect
176. #1798C22semidirect
177. #1798C22semidirect
178. #1798C22semidirect
179. #1798C22semidirect
184. #1779C22semidirect
185. #1779C22semidirect
186. #1753C22semidirect
187. #1753C22semidirect
188. #1753C22semidirect
189. #1753C22semidirect
190. #1752C22semidirect
191. #1752C22semidirect
192. #1752C22semidirect
193. #1752C22semidirect
194. #1750C22semidirect
195. #1750C22semidirect
196. #1750C22semidirect
197. #1750C22semidirect
198. #1745C22semidirect
199. #1729C22semidirect
200. #1729C22semidirect
201. #1729C22semidirect
202. #1729C22semidirect

Maximal subgroups

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

subgroupindex
#521032
#233562
#233322
#233282
#233132
#231252
#231242
#228462
#228442
#228432
#227902
#224002
#223982
#223402
#223362
#222662
#221732
#221692
#220382
#220372
#220362
#220072
#220052
#217432
#217412
#214442
#208992